text
stringlengths 270
8.19k
| meta
dict |
|---|---|
215206
What is the s'th term of 2462, 2335, 2208, 2081, 1954?
-127*s + 2589
What is the b'th term of 35, 91, 131, 155, 163, 155, 131?
-8*b**2 + 80*b - 37
What is the a'th term of 2295, 2308, 2323, 2334, 2335?
-a**3 + 7*a**2 - a + 2290
What is the p'th term of -3358, -3355, -3350, -3343, -3334?
p**2 - 3359
What is the g'th term of -61, -118, -245, -478, -853, -1406?
-6*g**3 + g**2 - 18*g - 38
What is the d'th term of -38833, -77666, -116499?
-38833*d
What is the j'th term of -3960, -4001, -4038, -4071, -4100?
2*j**2 - 47*j - 3915
What is the p'th term of -3332, -3327, -3328, -3335?
-3*p**2 + 14*p - 3343
What is the w'th term of 3574, 3239, 2904, 2569, 2234?
-335*w + 3909
What is the s'th term of -499105, -499104, -499101, -499096, -499089?
s**2 - 2*s - 499104
What is the o'th term of 45370, 90739, 136108?
45369*o + 1
What is the t'th term of 178, 322, 562, 898, 1330, 1858, 2482?
48*t**2 + 130
What is the h'th term of -482, -1913, -4334, -7775, -12266, -17837?
-5*h**3 - 465*h**2 - h - 11
What is the x'th term of -1092, -1039, -934, -765, -520?
2*x**3 + 14*x**2 - 3*x - 1105
What is the r'th term of 8897, 8916, 8935?
19*r + 8878
What is the q'th term of 201156, 201152, 201134, 201096, 201032, 200936?
-q**3 - q**2 + 6*q + 201152
What is the j'th term of -817, -770, -723?
47*j - 864
What is the u'th term of 10975901, 10975900, 10975899, 10975898, 10975897, 10975896?
-u + 10975902
What is the g'th term of -229, -183, -137, -91, -45, 1?
46*g - 275
What is the k'th term of -9731, -9725, -9715, -9701, -9683, -9661?
2*k**2 - 9733
What is the h'th term of 48651, 48655, 48659, 48663, 48667?
4*h + 48647
What is the s'th term of -308761, -308759, -308757, -308755, -308753?
2*s - 308763
What is the g'th term of -262, -1079, -2438, -4333, -6758?
g**3 - 277*g**2 + 7*g + 7
What is the p'th term of -113724, -227446, -341168, -454890, -568612?
-113722*p - 2
What is the g'th term of -43772, -87750, -131736, -175736, -219756?
-g**3 + 2*g**2 - 43977*g + 204
What is the b'th term of 1094, 1216, 1338, 1460, 1582?
122*b + 972
What is the y'th term of 18260, 36537, 54814?
18277*y - 17
What is the r'th term of 4563, 36485, 123129, 291855, 570023, 984993, 1564125?
4560*r**3 + r**2 - r + 3
What is the m'th term of -15046, -15056, -15066, -15076, -15086, -15096?
-10*m - 15036
What is the f'th term of -238, -351, -460, -565, -666, -763, -856?
2*f**2 - 119*f - 121
What is the d'th term of 522, 38, -448, -936, -1426?
-d**2 - 481*d + 1004
What is the h'th term of 1177, 2241, 3305, 4369, 5433, 6497?
1064*h + 113
What is the v'th term of 1567, 3135, 4703?
1568*v - 1
What is the k'th term of 77644, 77629, 77602, 77563?
-6*k**2 + 3*k + 77647
What is the v'th term of 630, 2503, 5636, 10041, 15730, 22715?
2*v**3 + 618*v**2 + 5*v + 5
What is the i'th term of -2991, -12056, -27165, -48318, -75515, -108756, -148041?
-3022*i**2 + i + 30
What is the u'th term of -630134, -1260268, -1890402, -2520536?
-630134*u
What is the o'th term of -19125, -19175, -19225, -19275, -19325, -19375?
-50*o - 19075
What is the k'th term of 6455, 12911, 19367, 25823?
6456*k - 1
What is the i'th term of -80, -154, -220, -272, -304, -310?
i**3 - 2*i**2 - 75*i - 4
What is the s'th term of 409345, 818692, 1228039, 1637386?
409347*s - 2
What is the l'th term of -171, -390, -753, -1254, -1887?
l**3 - 78*l**2 + 8*l - 102
What is the z'th term of 110, 465, 1062, 1901, 2982?
121*z**2 - 8*z - 3
What is the w'th term of 23339, 23327, 23315?
-12*w + 23351
What is the p'th term of 771, 1488, 2195, 2886, 3555, 4196?
-p**3 + p**2 + 721*p + 50
What is the u'th term of 7904, 7895, 7886, 7877, 7868, 7859?
-9*u + 7913
What is the j'th term of -459, -428, -395, -360, -323, -284, -243?
j**2 + 28*j - 488
What is the k'th term of -13, -129, -325, -601, -957, -1393, -1909?
-40*k**2 + 4*k + 23
What is the f'th term of -481, -976, -1479, -1990, -2509, -3036?
-4*f**2 - 483*f + 6
What is the g'th term of 110, 173, 194, 173, 110?
-21*g**2 + 126*g + 5
What is the o'th term of 8, 22, 54, 104?
9*o**2 - 13*o + 12
What is the f'th term of 41354, 82694, 124034, 165374, 206714, 248054?
41340*f + 14
What is the s'th term of -285, -1252, -2845, -5064, -7909, -11380?
-313*s**2 - 28*s + 56
What is the v'th term of -1176, -2118, -3060, -4002, -4944, -5886?
-942*v - 234
What is the y'th term of 5985, 5988, 5993, 6000?
y**2 + 5984
What is the h'th term of -158, -166, -190, -236, -310, -418?
-h**3 - 2*h**2 + 5*h - 160
What is the f'th term of 396, 1565, 3504, 6213, 9692, 13941, 18960?
385*f**2 + 14*f - 3
What is the s'th term of -6907, -13808, -20703, -27586, -34451?
s**3 - 3*s**2 - 6899*s - 6
What is the x'th term of -680, -632, -516, -302, 40, 540, 1228?
5*x**3 + 4*x**2 + x - 690
What is the t'th term of 1265, 1300, 1323, 1328, 1309, 1260?
-t**3 + 42*t + 1224
What is the w'th term of -20045, -20043, -20041?
2*w - 20047
What is the u'th term of -1053, -2123, -3193?
-1070*u + 17
What is the w'th term of -113, -241, -383, -539, -709?
-7*w**2 - 107*w + 1
What is the q'th term of 1316, 986, 656?
-330*q + 1646
What is the m'th term of -116, -295, -470, -641?
2*m**2 - 185*m + 67
What is the x'th term of 459215, 459217, 459219, 459221?
2*x + 459213
What is the z'th term of 273, 332, 415, 528, 677, 868?
z**3 + 6*z**2 + 34*z + 232
What is the w'th term of -133868, -267744, -401620, -535496, -669372, -803248?
-133876*w + 8
What is the o'th term of 399, 660, 1101, 1728, 2547, 3564?
o**3 + 84*o**2 + 2*o + 312
What is the h'th term of 121, -13, -235, -545, -943?
-44*h**2 - 2*h + 167
What is the a'th term of 3577, 7353, 11133, 14917, 18705?
2*a**2 + 3770*a - 195
What is the i'th term of -105354, -105358, -105364, -105372?
-i**2 - i - 105352
What is the x'th term of -448, -878, -1308, -1738?
-430*x - 18
What is the v'th term of -22966, -45925, -68884, -91843, -114802, -137761?
-22959*v - 7
What is the v'th term of -15095, -15090, -15085, -15080, -15075?
5*v - 15100
What is the m'th term of 1286, 2540, 3794, 5048, 6302, 7556?
1254*m + 32
What is the m'th term of -680, -1355, -2028, -2699?
m**2 - 678*m - 3
What is the y'th term of 1492, 1372, 1252, 1132, 1012?
-120*y + 1612
What is the r'th term of -4968, -9946, -14934, -19932, -24940, -29958, -34986?
-5*r**2 - 4963*r
What is the b'th term of 662464, 662463, 662462, 662461?
-b + 662465
What is the v'th term of -2853420, -2853421, -2853422?
-v - 2853419
What is the b'th term of -7233, -14456, -21681, -28908, -36137, -43368?
-b**2 - 7220*b - 12
What is the m'th term of 268, 399, 518, 619, 696, 743, 754?
-m**3 + 138*m + 131
What is the w'th term of 21159, 21075, 20991?
-84*w + 21243
What is the k'th term of -57, -313, -767, -1419?
-99*k**2 + 41*k + 1
What is the w'th term of -195, -415, -647, -897, -1171?
-w**3 - 213*w + 19
What is the v'th term of 110622, 442526, 995700, 1770144, 2765858, 3982842?
110635*v**2 - v - 12
What is the x'th term of 63, -65, -217, -405, -641, -937?
-2*x**3 - 114*x + 179
What is the f'th term of 79663, 79667, 79665, 79651, 79619?
-f**3 + 3*f**2 + 2*f + 79659
What is the l'th term of 2376, 2381, 2374, 2343, 2276, 2161?
-2*l**3 + 6*l**2 + l + 2371
What is the f'th term of 1357, 1449, 1541, 1633?
92*f + 1265
What is the l'th term of 24, 88, 194, 342?
21*l**2 + l + 2
What is the h'th term of -7962, -7219, -6476?
743*h - 8705
What is the x'th term of -11296, -11322, -11358, -11404, -11460, -11526, -11602?
-5*x**2 - 11*x - 11280
What is the a'th term of 452, 1809, 4064, 7217, 11268, 16217, 22064?
449*a**2 + 10*a - 7
What is the d'th term of -19836, -79378, -178614, -317544, -496168, -714486, -972498?
-19847*d**2 - d + 12
What is the k'th term of 593325, 1186652, 1779965, 2373258, 2966525?
-k**3 - k**2 + 593337*k - 10
What is the a'th term of -69577, -69566, -69545, -69508, -69449, -69362?
a**3 - a**2 + 7*a - 69584
What is the v'th term of -76, -88, -102, -118, -136?
-v**2 - 9*v - 66
What is the m'th term of 1758, 2925, 4072, 5193, 6282?
-m**3 - 4*m**2 + 1186*m + 577
What is the o'th term of 5382, 5248, 5024, 4710, 4306, 3812, 3228?
-45*o**2 + o + 5426
What is the z'th term of 23048, 23052, 23056, 23060, 23064?
4*z + 23044
What is the c'th term of 1269, 1263, 1247, 1221, 1185, 1139?
-5*c**2 + 9*c + 1265
What is the w'th term of -123036, -123034, -123032, -123030?
2*w - 123038
What is the z'th term
|
{
"pile_set_name": "DM Mathematics"
}
|
+ p**2 + (-5*p - p + 4*p)*(2*p**4 + 0*p**4 - 6*p**4) + 0*p**2 + 0*p**2 - 2*p**5.
7*p**5
Expand (5 + 8*k**2 - 5)*(0 + 3 - 4)*(21*k**3 - 46*k**3 - 39*k**3).
512*k**5
Expand (p**3 + 2*p - 2*p)*(4*p + 133*p**2 - 4*p) - p**3 + p**3 - p**5.
132*p**5
Expand (5*i**3 + 0*i**3 - 3*i**3)*(-i**2 + 0*i**2 + 3*i**2) - 2*i - 94*i**3 + 94*i**3 - 26*i**5 + 3*i**5 + i - i.
-19*i**5 - 2*i
Expand (-1 - 74*i + 151*i - 79*i)*(-4 + 3 - 2).
6*i + 3
Expand (5*x**3 + 2*x - 2*x)*((32 + 37 - 81)*(0*x + x + x) + (-3 + 1 + 1)*(x + 0*x - 3*x)).
-110*x**4
Expand (2*v - 2*v + v)*(1 - v - 1) + (0*v - 5*v + 3*v)*(0 - 10 + 9)*(-3*v - 4*v + v) - v**2 + 2*v - 2*v.
-14*v**2
Expand (4*m**2 - 3*m**2 - 2*m**2)*(-m + 3*m - m)*(-57 + 79 - 396) + (2 - 2 - m**2)*(-1 + 1 - 2*m).
376*m**3
Expand (560*t - 2555 + 2555)*(3*t**2 - 2*t**2 - 2*t**2).
-560*t**3
Expand (-3*j - j**2 + 3*j)*(-2*j**2 - 2*j + 2*j) + 4*j**4 + 0*j**4 + 4*j**4.
10*j**4
Expand 4*v**3 + 3*v**3 - 3*v**3 + (0 - 2*v + 0)*(-11*v**2 - 286*v**2 - 113*v**2) + (0*v - 2*v + 3*v)*(-4*v**2 + 0*v**2 + 3*v**2) + 0 + 0 - 2*v**3.
821*v**3
Expand ((5 - 5 - m)*(m + 2*m - 2*m) + m**2 - 4*m**2 + m**2 - 22 + 13 + 11 + 7*m**2)*(m - 5 + 0 + 3).
4*m**3 - 8*m**2 + 2*m - 4
Expand (0*x**2 + x**2 + 0*x**2)*(3*x**2 - x**2 - 3*x**2) + (-83*x**4 + 444*x - 444*x)*(-5 + 4 - 1)*(-1 - 5 + 4).
-333*x**4
Expand (2 - 3 - 1 - 2 + 0 + 1 + (1 - 1 + 2)*(-2 + 4 + 0) - 3 - 4 + 3)*(28*x**4 + 16*x**4 + 0*x**4).
-132*x**4
Expand (-7*l + 8*l + 7*l + 9*l)*(-1 - 4 + 4).
-17*l
Expand (-3 - 7*i + 3)*(-i**2 + 2 - 2)*(0 + 1 + 1) - 2*i**3 + 0*i**3 + i**3 + (-i**2 - 3*i**2 + 6*i**2)*(4*i - 3*i + 0*i) - 12*i**3 - 11*i + 11*i.
3*i**3
Expand (7*s**2 + 0*s**2 + 0*s**2)*(s**2 + 4 - 4)*((2*s + 0*s - s)*(4 - 4 + 2) - 2*s + 2*s - s - s + 3*s - s).
14*s**5
Expand (17*l**3 - 3*l**4 - 17*l**3)*(5*l - 47*l - 10*l).
156*l**5
Expand (-1 + 1 + i)*(63*i**3 + 166 - 49*i**3 - 22*i - 166).
14*i**4 - 22*i**2
Expand (-20 - 4 + 2)*(-2 + 6 - 2)*(6*h**4 + 4*h**4 - 5*h**4).
-220*h**4
Expand ((-1 - 2 + 2)*(d - 3 + 3) + 3*d + 0*d - d)*(1 + 0 + 3) - 3 + 3 - 2*d + 4*d + d - 3*d.
4*d
Expand (5 - 3 + 0)*(-31*j**2 - 13*j - 7*j + 32*j**2).
2*j**2 - 40*j
Expand (4*u - 4*u - u**3)*(u - 2*u + 6*u)*(-7 + 8 + 7).
-40*u**4
Expand (a**4 + 0*a**4 + a**4)*(0 + 16 - 4 + (5 - 2 - 2)*(5 - 4 + 1) - 4 + 4 - 19).
-10*a**4
Expand (-34*a + 3*a - 16*a)*(4*a**2 - a**2 - a**2) + (-a + 2*a + 0*a)*(2*a**2 - 5*a**2 + a**2) + a**3 - 2*a**3 + 2*a**3.
-95*a**3
Expand (-1386 + 1386 + 139*m)*(-4 - 5 + 2)*(0 + 0 + m).
-973*m**2
Expand (-x**2 + 5*x**2 - 2*x**2)*(-2796 + 1405 - 6819*x + 1391).
-13638*x**3
Expand -f**3 + 1 - 1 + (-56*f - 3*f**3 + 56*f)*(-1 + 0 - 1) + 2*f**3 - 3 + 3.
7*f**3
Expand (-67*u**3 - 65*u**3 - 3*u**2 - 197 + 199)*(2*u + 4*u - 2*u).
-528*u**4 - 12*u**3 + 8*u
Expand (-1 - 6 + 15)*(-4*n**2 + 0*n**2 + 3*n**2) + 12*n**2 - 62*n + 62*n - 1.
4*n**2 - 1
Expand (0 + 4 - 2 + 0 - 2 + 4 - 4 + 2 + 1 - 2 + 1 + 2 - 1 + 1 + 2 + (1 + 2 - 1)*(-5 + 2 + 1) + (0 + 4 - 3)*(-68 + 64 + 50))*(-2*r**2 - 2 + 2).
-96*r**2
Expand (-4*x + 0*x + 6*x)*(4*x - 4*x + 2*x)*(4*x + x**2 - 4*x).
4*x**4
Expand (54 + 147*g + 2*g**3 - 147*g)*(g**2 - 3*g**2 + 4*g**2 + (-2*g - g + 4*g)*(2*g - 5*g + 0*g)).
-2*g**5 - 54*g**2
Expand -2*g**2 + 3*g**2 - 3*g**2 + (-3 + 0 + 2)*(4 + g**2 - 4) - g**2 + 0 + 0 - g**2 + g - g - 2*g**2 - 49*g**2 + 10*g**2.
-46*g**2
Expand (-3*t**2 + 5*t**2 + 9*t - 5*t)*(-1 + 9 - 2).
12*t**2 + 24*t
Expand -141882*a**3 + 141882*a**3 + 150*a**5 - 2*a + (-2*a**3 + 1 - 1)*(2*a**2 + 3 - 3).
146*a**5 - 2*a
Expand (-57 - 94 - 25)*(0*m - m + 0*m).
176*m
Expand (7*a**2 + a**2 - 2*a**2)*(-3*a + 3*a + 2*a**2) + (8 - 8 - a)*(3*a**3 - 2*a**3 - 3*a**3).
14*a**4
Expand (2*r + 2*r**2 - 2*r)*(-77*r - 142*r - 79*r).
-596*r**3
Expand (2*q**2 - 4*q**2 + 4*q**2)*(2*q - 6*q + q) - q**3 - 5*q + 5*q + (-1 + 0 + 2)*(5*q**3 + q**3 + 24*q**3).
23*q**3
Expand x**4 - 2*x**4 - 3*x**4 + (0 + 3*x + 0)*(59*x**3 + 8186 - 8186).
173*x**4
Expand (2*k - 40*k**2 + 73*k**2 - 35*k**2 + 5)*(0*k**2 + k**2 + 0*k**2).
-2*k**4 + 2*k**3 + 5*k**2
Expand (9*w**3 - 20*w**3 - 14*w**3)*(-19*w - 11*w + w).
725*w**4
Expand (-2 + 3 + 3 + (2 - 4 + 0)*(-3 + 0 + 4) + 1 + 0 + 1 + 2 - 4 - 1)*(-2*a + a + 0*a)*(27 - 23 - 15).
11*a
Expand -6*s**4 + 4*s**4 - 5*s**4 + s**4 - 4*s**4 + 2*s**4 + (-s - s + 0*s)*(-3*s**3 - 3*s**3 + 4*s**3).
-4*s**4
Expand (2*q**3 - 2*q**3 - 8*q**3 + (0 + 2 - 6)*(0*q**3 + q**3 + 0*q**3))*(0*q - 3*q + 5*q)*(-q - q + 0*q).
48*q**5
Expand (10 - 1 - 2)*(3*b - 6*b + 2*b + 5*b - 2*b - 4*b + (2*b + 0*b - 4*b)*(-5 + 3 + 3) + 2*b + 0*b - 3*b + 0*b - b + 3*b) - b + 0*b + 3*b.
-19*b
Expand -24*k - 53*k - 96*k - 7 + 5*k + 7 + (-2*k + 0 + 0)*(0 + 0 + 1).
-170*k
Expand (0*t - 5*t + 9 + 3*t)*((5 - 5 - 2)*(-2 + 7 + 0) + (5 - 1 - 3)*(2 - 1 + 0) + 3 - 3 + 1 + 0 + 9 - 2).
2*t - 9
Expand (3*m + 0*m - 3 - m)*(23 - m - 37 - 16).
-2*m**2 - 57*m + 90
Expand (27*r - 9 - 64*r + 30*r)*(-1 + 10*r - 15*r + 13*r).
-56*r**2 - 65*r + 9
Expand (7 - 6 - 2 + 2*y**3 - 2*y**2)*(-15*y - 3*y - 24*y)*(y + 2*y - y).
-168*y**5 + 168*y**4 + 84*y**2
Expand 2*n + 2*n - 3*n + (1 - 3 - 6)*(-1 + 3 - 1)*(-2*n - 4*n + 7*n)*(-4 + 3 - 2).
25*n
Expand (-5*f**2 + 3*f**2 + f**2)*((-1 + 2 + 1)*(3*f + 4*f - 2*f) + 19*f - 4*f + 3*f).
-28*f**3
Expand (-21 - 25*g + 21)*(5*g - 15 + 30 - 19).
-125*g**2 + 100*g
Expand ((2 - 2 - 2*f)*(3 - 1 - 1) + 0 - f + 0)*(28*f**2 + 15*f**2 + 9*f**2).
-156*f**3
Expand -23*u**3 + 21*u**3 + 74*u**3 + (3 - 1 - 3)*(-2*u**3 + 3*u - 3*u).
74*u**3
Expand (-3*k**2 + 3*k**2 - k**2 - k**2 + 0*k**2 - k**2 + (3*k - 2*k + 0*k)*(2 - 2 - k) - 3*k + 3*k - 2*k**2)*(38*k - 6 - 7*k**2 - 40*k - 10).
42*k**4 + 12*k**3 + 96*k**2
Expand (66 + 15 - 19)*(6*m**2 + m**2 + 8*m**2)*(1 - 1 + m).
930*m**3
Expand (2*x - 4*x + 0*x)*(22 + 9 - 3)*(2 - 2 + 1) + (-x + 3*x + x)*(0 - 2 + 4).
-50*x
Expand (4 - 1 - 2)*(-4*x + 2*x + x)*((2 + 0 - 1)*(-6 + 3 + 0) + (5 - 1 - 5)*(-2 + 3 + 9)).
13*x
Expand (-4 - g + 5*g + 5)*(-10 - 8 + 20)*(3*g**3 + 5*g**2 - 5*g**2).
24*g**4 + 6*g**3
Expand (-147 + 120*k + 147)*(-2*k + 2*k + k) + 2 - 2 - 2*k**2.
118*k**2
Expand -153*y**2 - 1 + 28*y**4 + 153*y**2 + (3*y**2 - y**2 - y**2)*(-2 + 2 + 2*y**2) + 0 - y**4 + 0.
29*y**4 - 1
Expand (1 - 1 + 2*t)*(-267 - 583 - 430 - 490).
-3540*t
Expand (36*z**2 - 547*z + 547*z)*(25*z - 5*z + 2*z).
792*z**3
Expand 4*v**5 + 4 - 4 + (-2*v + v + 2*v)*(7*v**4 - 27 + 27).
11*v**5
Expand (-3*k**2 + 3*k**2 - 23*k**2)*(-6 - 4 - 1 + 4 - 5 - 1 + (1 - 2 - 1)*(0 - 1 - 1) + 2 + 1 - 1 + 1 + 4 - 4).
138*k**2
Expand (6*l - 5*l + 7*l)*(4 - 5 + 0) + (0 + 1 + 0)*(-2 + 2 - 2*l) + (-3 + 2 + 2)*(l - 3*l + l) - l + 3*l + 0*l + 4*l + 2*l - 4*l - 2 + l + 2 - 17*l + 168 - 168.
-23*l
Expand 64*i**4 + 159*i**2 - 63*i**4 + 245*i**2 + (-i**4 + 0*i**2 + 0*i**2)*(0 - 2 + 0) + i**4 - i**4 + 2*i**4.
5*i**4 + 404*i**2
Expand (3*v - v + 0*v + (3*v - 2*v - 2*v)*(-2 + 1 + 0) + 62*v - 16*v + 80*v)*(0*v + 4*v - 6*v).
-258*v**2
Expand (5*c**3 + 0*c**3 - c**3)*(65*c + 20*c + 28*c) + (c - c - c)*(-3*c**3 + 3*c**3 + c**3) + 0*c**4 - 2*c**4 + 3*c**4.
452*c**4
Expand 0*f**4 + f**4 + f**4 + (18 - 9*f - 18)*(-3*f**2 + 3*f**2 - f**3) + (-2*f - 3*f + 2*f)*(0*f**3 + 2*f**3 + 0*f**3) - f**4 - 5*f**4 + 5*f**4.
4*f**4
Expand (-60 - 4*y**3 + 61 - 2*y**3)*(3*y + 4*y + 0*y).
-42*y**4 + 7*y
Expand (a + a + a)*(5 - 4 - 4)*((-3*a + 33 - 33)*(2 + 0 - 3) + 0*a + 0*a + a).
-36*a**2
Expand (3*w - 5*w + w)*((4*w + 0*w - w)*(-3*w + 7*w - 2*w) - 3*w**2 - 4 + 4)*(-4*w + 4*w + 2*w**2).
-6*w**5
Expand (g + 0*g + 0*g)*(92*g**2 - 9*g**3 + 2*g - 34*g**2 - 30*g**2).
-9*g**4 + 28*g**3 + 2*g**2
Expand (-n + 2*n + 0*n)*(2 + 2 - 2)*(207 - 106 - 83)*(1 + 1 - 4).
-72*n
Expand -6*g**4 + 4*g**4 + 4*g**4 + (-3*g + g + g + (-2 + 2 + 2)*(g + 3*g - 5*g))*(4*g + 6*g + 9*g)*(0*g + 0*g + g**2)*(5 - 16 + 6).
287*g**4
Expand -718 - 2*i**2 - 485 + 281 + (1 - 1 - 2*i)*(-2*i - 2*i + 5*i).
-4*i**2 - 922
Expand d - 2*d**3 - 14*d**3 + 3*d**2 - 34 + 15*d**3 + (2 - 2 - 2*d)*(2*d**2 - 5 + 5).
-5*d**3 + 3*d**2 + d - 34
Expand -4*x**5 - 2*x**5 + 4*x**5 + (-5*x**4 + 4 - 4)*(2*x + 2*x - 3*x + (-3*x + x + 0*x)*(-7 + 9 + 6)).
73*x**5
Expand (-13 - 12 + 15)*(-14*z - 22*z + 18*z).
180*z
Expand (3 - 3 + 2*q)*(-5*q - 6*q + q**2 - 9*q).
2*q**3 - 40*q**2
Expand (k + 5*k + 2*k)*(-21*k**4 - k**3 - 2*k**4 + 30*k**4 - 1).
56*k**5 - 8*k**4 - 8*k
Expand (-5 - 2 + 4 + (0 + 3 - 1)*(2 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-2)?
3
Suppose -5*c - 10 = 2*g - 0*g, 0 = 4*c + 16. Suppose -g*f + 5*y + 321 = -104, 3*f + y = 247. What is the tens digit of f?
8
Suppose 0 = -5*l + 145 + 3375. What is the tens digit of l?
0
Let d = 94 + -60. Let s = d - -60. What is the units digit of s?
4
Let c be -2*(-2 + 2/6*0). Suppose -f - 4*f - c*x + 780 = 0, 0 = -3*x. What is the units digit of f?
6
Let f(o) = 14*o**2 - 4*o + 3. Let c = -10 - -14. Let v be f(c). What is the tens digit of v/5 + 1/(-5)?
4
Suppose -3*j = u - 302, -5*j + 389 = -5*u - 101. What is the units digit of j?
0
What is the tens digit of 7680/30*(-10)/(-8)?
2
Let o(h) = -h**3 + 3*h**2 - 13*h - 102. What is the tens digit of o(-8)?
0
Let n = 94 + 39. What is the hundreds digit of n?
1
Suppose n = -n - m + 1741, 3*n = -m + 2614. What is the units digit of n?
3
Suppose 0 = -0*d + 3*d + 2*a + 2, -2*d + 1 = -a. Suppose 11*p - p - 2130 = d. What is the units digit of p?
3
Suppose t = 1220 - 189. What is the thousands digit of t?
1
What is the tens digit of 9 - (-2042 - (6 - 5))?
5
Suppose 4*w + 15 = 9*w. Suppose i = w*i - 362. What is the units digit of i?
1
What is the tens digit of 5/(-2)*184782/(-515)?
9
Let b(d) = 7*d - 5. Let o(z) = 7*z - 5. Let g(l) = 5*b(l) - 4*o(l). Suppose s = -5*y + 5 + 11, 0 = 5*s + 3*y - 36. What is the units digit of g(s)?
7
Let j = 1186 - 741. Let s = j + -257. What is the units digit of s?
8
Let a(n) = -n**3 - 11*n**2 + 2. Let t be a(-11). Let z(x) = 2*x**2 - 3*x + 1. Let m be z(t). Suppose 7 = m*f - 5. What is the units digit of f?
4
Let u = 813 - -664. What is the tens digit of u?
7
Suppose 6*d - q - 4312 = d, q = -2. What is the tens digit of d?
6
Suppose -1132 = -5*j + 743. What is the hundreds digit of j?
3
Let o = 297 - 164. Let l = -50 + o. What is the units digit of l?
3
Suppose -3*n - 4911 = -3*q, -10*n = q - 6*n - 1632. What is the units digit of q?
6
Let f(y) = y**2 - y + 35. Suppose 2*s - 14*s = -192. What is the tens digit of f(s)?
7
Let r be ((-16)/(-16))/(1/8). Suppose -7*c - r = -155. What is the units digit of c?
1
Suppose 3*q - 2609 = -5*d + 594, 0 = -q + d + 1073. What is the hundreds digit of q?
0
What is the hundreds digit of 1043/(((-64)/(-12))/16)?
1
Let u(j) = 5*j**2 + j**2 + j**2 + 0*j**3 + 9 - 3*j + j**3. Let f be u(-6). What is the units digit of ((-20)/3)/((-21)/f)?
0
Let x(y) be the second derivative of y**5/20 - 3*y**4/2 + 23*y**3/6 - 19*y**2/2 + 5*y. What is the tens digit of x(17)?
8
Let h = 13 - 11. Suppose 12 = 3*r + 3*g, 2*g + 16 = 6*g. Suppose h*z + r*z = 2. What is the units digit of z?
1
Let t be 6/(-24) + (3 - 3279/(-12)). Suppose -22*q = -24*q + t. What is the units digit of q?
8
Let m be 1 + -3 + 1 + (-30)/(-5). Suppose -195 - 2 = -2*z - t, -m*z = 3*t - 492. What is the units digit of z?
9
Let d be ((-2)/(-1))/((-8)/132). Let c = d - -102. What is the units digit of c?
9
Let w(m) = 5 - 9*m**2 - 2 - m**3 - 1 + 0. Let t be w(-4). What is the units digit of (-20)/(-15)*t/(-4)?
6
Suppose 0 = 3*b - w - 3507, -7*w = -12*w + 15. What is the units digit of b?
0
What is the tens digit of (-656)/((-1)/((-5)/(-10)))?
2
Let x(q) = -7*q + 10 - 5 - 21. What is the units digit of x(-9)?
7
Let q = -437 - -1001. What is the units digit of q?
4
Suppose -4*l - 6 = -6*l + 3*i, 3*i + 6 = l. Suppose -3*m - 1271 = -5*y - 431, l = 3*m. What is the units digit of y?
8
Let q(b) = -b**3 + 4*b**2 + 3. Let u be q(4). Suppose 2*n + 4*l - 440 = -n, -u*n + 3*l = -447. What is the units digit of n?
8
Suppose -3*x = -p - 11, -5*x = 2*p + 2*p - 41. Suppose -4*m = 2*d - 0*m - 102, 5*d = -x*m + 245. Suppose 6*s = 7*s - d. What is the units digit of s?
7
Let d = -540 + 631. What is the tens digit of d?
9
Suppose 27 = 4*k - 37. Suppose 5*c - k = c. Suppose v - i = 23, -c*i - 74 = -2*v - v. What is the units digit of v?
8
Suppose -2*d + 12 = -16. Let l be 6*1 + d/14. Suppose -4*o = -l*o + 108. What is the units digit of o?
6
Let p = -21 + -9. Let x = p + 59. What is the units digit of x?
9
Suppose 0 = -2*s - 35 - 15. Suppose y = -4*y + 165. Let u = y + s. What is the units digit of u?
8
Let s(p) = p**3 + 7*p**2 + 3*p + 1. Let o be s(-3). Let u = 51 - o. Suppose -2*v = -u - 17. What is the units digit of v?
0
Suppose 5*j - 3*f - 9619 + 2018 = 0, -j + 3*f + 1525 = 0. What is the tens digit of j?
1
Let w(r) = r**3 + 8*r**2 + 6*r + 9. Let b = 43 + -14. Let f = b - 36. What is the tens digit of w(f)?
1
Let l be 8 + -5 - (0 - 1). Suppose -l*x + 7 = -1. Suppose 3*w + h = 169, x*w + h = -h + 106. What is the units digit of w?
8
Let f = 6198 - 3189. What is the hundreds digit of f?
0
Let a = 17 - 7. What is the units digit of 1/(-2) + 665/a?
6
Suppose 589 = 4*a + 173. Suppose -2*d = -x - a, 38 = 4*d + 4*x - 146. What is the tens digit of d?
5
Suppose -2*k = -8 - 90. Let a = -40 + k. What is the units digit of a?
9
Suppose 4*p = -5*d + 247, -5*p - 3*d = -6*d - 355. Suppose b - p = -10. What is the units digit of b?
8
Let d(f) be the second derivative of f**5/20 - f**3/2 + 209*f**2/2 - 27*f. What is the hundreds digit of d(0)?
2
Let i = -6 + 1. What is the units digit of -19*5/(i/3)?
7
Let c = 526 + -352. Let q = c + -51. What is the hundreds digit of q?
1
Let r(u) = -u**2 + 8*u - 8. Let l be r(7). Let w = -13 - l. What is the units digit of (w - -11)/((-1)/6)?
6
Let t be (20/(-8))/(-5)*0. Let s(u) = 8*u + 140. What is the tens digit of s(t)?
4
Let a(p) = -p**3 + 4 - 7*p**2 - 8*p**2 + 3*p + 12*p**2. What is the units digit of a(-4)?
8
Suppose -2*p + 5674 = 5*l + 21355, -l - 3150 = 5*p. Let w be l/(-15) - 1*4. Suppose 0 = -3*k - 2*j - 50 + 171, 5*j - w = -5*k. What is the tens digit of k?
3
Let z = 52 - 49. Suppose -4*d = -z*d - 98. What is the units digit of d?
8
Suppose f = -2*a - 20, -f + 5*f + a = -59. Let c be 174/4 - f/28. Suppose 2*d - 132 = -3*l, 6*d = l + 7*d - c. What is the units digit of l?
4
Let q = -2202 + 2205. What is the units digit of q?
3
Suppose 3*f = -2*f. Suppose f = 2*b - 0*b - 82. Let a = -24 + b. What is the units digit of a?
7
Suppose -4*x = -2*q + 2670, -2*q + 284*x = 279*x - 2671. What is the hundreds digit of q?
3
Let d(s) = -s**3 + 44*s**2 + 72*s - 35. What is the hundreds digit of d(45)?
1
Suppose 2*g = -5*j - 53, -7 + 2 = -5*g. Let c = 14 - j. What is the tens digit of c + (0 - -3 - 1)?
2
Suppose -33*i + 6978 = -1899. What is the tens digit of i?
6
Suppose 9*y + 13 + 5 = 0. What is the units digit of (y/(-1))/((-8)/(-232))?
8
Let x(q) = -q. Let g be x(-2). Suppose 0 = -5*i + g*d - 18, 0 = -d - 0*d + 4. What is the tens digit of ((-3)/i)/(30/500)?
2
Let a(k) = k - 2. Let y be a(2). Suppose y = -3*f - 6*f + 117. What is the units digit of f?
3
Suppose -5*y - 243 - 612 = 2*t, -5*t - 494 = 3*y. Let b = y - -244. What is the tens digit of b?
7
What is the thousands digit of 15/(-105) - (7617/(-7) + -3)?
1
Suppose 29 = o - p, 4*o + 0*p = -2*p + 146. What is the tens digit of o*(-3 + (-7)/(-2))?
1
Let m(r) = -58*r + 75. What is the units digit of m(-27)?
1
Let r = -1011 - -1707. What is the units digit of r?
6
Let h = 415 - 226. Let u = h - 122. What is the units digit of u?
7
Let r be (0 - 5)/(-1*3/6). Let n(l) be the first derivative of -l**3/3 + 15*l**2/2 - l + 2. What is the tens digit of n(r)?
4
Let n = 57 + -13. What is the tens digit of 1 + 2 + n + -4?
4
Let a(o) = 3*o**3 - 3*o**2 + 11*o - 3. Let f(h) = -h**3 + h**2 - 3*h + 1. Let c(s) = -2*a(s) - 9*f(s). What is the hundreds digit of c(4)?
1
Suppose 2*d = 3*s + 2*s - 234, 3*d + 87 = 2*s. Let h = s + -25. Suppose 15 + h = r. What is the tens digit of r?
3
Let u(p) = -130*p. Let q be u(-1). What is the units digit of 5 + 1 + q + 2?
8
Let a(m) = 7*m - 19. Suppose -5*b + 3*o = -57, -3*o - 33 = -4*b + 15. Let z be a(b). Suppose -4*i + 8*i = z. What is the units digit of i?
1
Let u = 8352 + -3015. What is the hundreds digit of u?
3
Let f be (-3)/(30/212)*5. Let z = -28 + 181. Let o = z + f. What is the tens digit of o?
4
Let q(w) = 119*w - 11. Let u be q(-1). Let c = -123 - u. What is the units digit of c?
7
Suppose 2*x = p + 21, -3 = -x - 0*p - p. Let g = -5 + x. Suppose l - 21 = -g*t, -3*t + 2*l = -t - 6. What is the units digit of t?
6
Suppose -6391 = -7*w - 133. What is the hundreds digit of w?
8
What is the units digit of (1400 - 4)*1/2?
8
Let v = -172 + 317. Suppose 4*c - 115 = v. What is the units digit of c
|
{
"pile_set_name": "DM Mathematics"
}
|
p + t for p.
1
Let l(i) = -i**3 - i**2 - i. Let c(m) = 6*m**3 + 10*m**2 + 9*m + 1. Let j(k) = c(k) + 5*l(k). Let n be j(-4). Let o = 430 + -425. Solve -z = -n + o for z.
-4
Let o = -24 - -38. Suppose -o*b = -19*b + 15. Solve b*w - w = 0 for w.
0
Let c(w) = -w**2 + w + 6. Suppose -3*n - 13 + 19 = 0. Let m be c(n). Solve -m*v = -4 + 24 for v.
-5
Let m = -8 + 8. Suppose 0 = -4*j + z + z, -2*j - 2*z = m. Solve j = 2*i - 2 for i.
1
Suppose 2*r = -0*r + 42. Let n = 22 - r. Solve 5*w = 14 + n for w.
3
Suppose 52*n = 316 + 360. Solve -n*a = 62 + 3 for a.
-5
Suppose 4*s + 0*s - 12 = 0. Let c be -3*(-2 + 3) + s. Suppose 15 = 3*w - c*w. Solve -19 = -w*a - 4 for a.
3
Let o(d) be the third derivative of -d**6/120 - d**5/6 - d**4/24 - 2*d**3/3 - 7*d**2. Let l be o(-10). Solve l*p = 3*p + 12 for p.
4
Suppose 3*b + 5*f - 10 = 0, 63*f - 64*f = 2*b - 16. Solve 9*k = 4*k + b for k.
2
Let b(d) = -d**2 - 8*d + 7. Let o be b(-5). Suppose 2*s - 5*s = 2*u - o, 5*s = 5*u - 5. Solve 0 = -2*k + 14 - s for k.
5
Let q(j) = 11*j**2 - 2*j + 1. Let f be q(1). Suppose -20 = -a - 4*r, f = -5*a - 4*r + 46. Suppose a = 3*v - 2. Solve -3*x + 1 = -v for x.
1
Let d be (-352)/40 - (-8)/10. Let i(j) = j**3 + 8*j**2 + j + 8. Let c be i(d). Solve c = 3*o - 8*o - 25 for o.
-5
Let m = -71 + 78. Let o = -6 - -8. Suppose -o*r + 17 - m = 0. Solve -g + r*g + 8 = 0 for g.
-2
Let n = -1008 + 1022. Solve -2 = n*f - 13*f for f.
-2
Let m(a) = -a**3 - 12*a**2 - 10*a + 13. Let t be m(-11). Suppose 6*n + 50 = 16*n. Suppose 4*d + 2*x = 50, 2*x - 8 + 30 = 2*d. Solve -t + d = n*w for w.
2
Suppose x - 3 = 0, 11*o - 12*o - 2*x + 9 = 0. Solve o*s - 7 = 8 for s.
5
Let c = 27 + -5. Let s be 1044/(-66) + (-4)/c. Let z = -6 - s. Solve 4*v + z = -v for v.
-2
Let r(u) = -13*u**3 - u**2 + 2*u - 1. Let m be r(1). Let l be (-10)/((-5)/(-3 - m)). Suppose -6*c + l = -2*c. Solve 4 = 3*w - c for w.
3
Let w(q) = -q + 18. Let r be w(0). Let y = -9 - r. Let p be y/(-4) - 12/16. Solve -3*u - p = -u for u.
-3
Let c(n) = 2*n**2 + 12*n + 6. Let i(g) = -g**2 - 12*g - 5. Let h(d) = -2*c(d) - 3*i(d). Let m be h(12). Solve 1 = m*a - 5 for a.
2
Let y be 22/18 - (-8)/(-36). Suppose -4*x = -13 + y. Let l be 0/((-6)/x - -3). Solve -v = -l*v - 3 for v.
3
Let w = -734 - -737. Solve 8*c - 25 = w*c for c.
5
Let v be (-62)/403 + (-11)/13 + 1. Let b be (-20)/(-6) + (-12)/(-18). Solve b*z = -v*z for z.
0
Let c(j) = j**3 - 8*j**2 + j - 4. Let a be c(8). Suppose a*x - 9*x + 10 = 0. Solve -13 = x*d - 5 for d.
-4
Suppose r + 6*r = 21. Solve i - r*i = -8 for i.
4
Suppose 3*s = -4*y - 19, 2*s + 13 = -3*s - 2*y. Let w = s - -7. Let l be ((-36)/21)/((-2)/7). Solve l*a + w = 4*a for a.
-3
Let w be 0/(-100)*(-1 - 0). Solve w = 4*z - 9 + 13 for z.
-1
Let w be ((-84)/35)/(-6) - (-176)/10. Suppose -w*j + 6*j + 144 = 0. Solve -j = -2*r - 2*r for r.
3
Suppose 3*n - 2*j = -6, -j + 174 - 171 = 4*n. Solve n = -2*c + 14 - 18 for c.
-2
Let l be 1534/10 - 159/(-265). Solve -l*y = -155*y + 1 for y.
1
Suppose 41*w = 31*w + 40. Solve -7*m = -w*m - 9 for m.
3
Let n = 1054 - 1052. Solve -l + 2 - n = 0 for l.
0
Suppose 3*q - 5*w + 0*w + 6 = 0, 0 = q + w + 2. Let d(k) = -k**3 - k**2 + 3*k + 5. Let f be d(q). Solve -r + f*r = -4 for r.
-2
Suppose 3*v - 6*v = 0. Let h = v - 7. Let s = h - -10. Solve -s = 2*q + q for q.
-1
Let t = 8 + -11. Let m be 7 + t/9*-3. Let l(f) = -f**2 + 6*f - 5. Let c be l(5). Solve 0*j + 2*j + m = c for j.
-4
Suppose -14 = -3*d + d. Suppose 0 - d = -7*j. Suppose 0 = 5*i - 9 - j. Solve 0 = -i*a - 2*a for a.
0
Let p be 3/(-6) - 7/(-2). Suppose -25 = -p*s - 13. Suppose s*a + 1 - 49 = 0. Solve -a = -4*w - 0 for w.
3
Suppose 0 = 4*v - 13*v - 648. Let t be 14/(-70) - v/10. Solve -5*p + t = -3 for p.
2
Let n be (0 - 0)*(-2)/4. Suppose 4*q + n*q - 16 = 0. Let r = -1 + q. Solve -r*p - 15 = -0*p for p.
-5
Let k = 355 - 347. Solve 10 = k*h + 2 for h.
1
Suppose -17*a - 2829 = -2880. Solve -a*m = -11*m + 32 for m.
4
Let h be 1/(-4) - 34/(-8). Suppose 7 = -2*p + 33. Suppose p*o = 18*o. Solve o = -d - h*d for d.
0
Let v = 32 + -32. Suppose 2*x = -3*x - 4*l + 104, v = 3*l - 3. Solve 0*s = -4*s - x for s.
-5
Let j = -418 + 420. Solve j*s - 10 = -8 for s.
1
Suppose -4*k + 3*k = h + 3, 0 = 2*h. Let v be (k - -10) + -2 - -2. Suppose 5*a + w - 30 = 0, 5*w - 19 = -5*a + 31. Solve 0 = -a*n - 22 + v for n.
-3
Suppose 7*t - 39 = -6*t. Suppose -2*w + t*w + 5*b = 0, b = 0. Solve x - 4 + 1 = w for x.
3
Suppose -5*u = -15, 87 = 5*b + 3*u + 3. Solve 0 = 6*l - 3 + b for l.
-2
Let g be (((-5)/((-10)/(-492)))/(-2))/1. Let s be g/24 - (-1)/(-8). Solve t = s*t - 8 for t.
2
Let l(q) = q**3 + 10*q**2 + 7*q - 13. Let o be l(-9). Suppose -o*x + 6 = -3*x. Suppose x*p - 44 = -2*y - 1, 5*y + 35 = 2*p. Solve -7*k = -2*k + p for k.
-3
Let d = -11 + -11. Suppose 2*x + 8 = 0, -2*x = -v + 2*x - 4. Let n = v - d. Solve -5*z = -n*z - 6 for z.
2
Suppose -5*b = -4*v - 87, 4*v + 37 = -4*b - 59. Let z = -3 - v. Solve -6*f + 2*f + z = 0 for f.
5
Suppose 6*m + 101 - 113 = 0. Solve 4*t - m*t + 4 = 0 for t.
-2
Let z = 36 - 37. Let j(q) = -4*q**3 - 2*q - 2. Let t be j(z). Solve -t*o + 1 = -3 for o.
1
Let a(o) = -o**3 + 6*o**2 + 8*o - 4. Suppose y - 3*b + 2 + 0 = 0, b = 3. Let d be a(y). Solve 2*i = 5 + d for i.
4
Let v = 46 + -16. Let o = -18 + v. Suppose -2*c - c + o = 0. Solve i = c + 1 for i.
5
Let u be (-1 - 37)/(-2) - -1. Let k(i) = i**3 + 5*i**2 - 13*i - 1. Let x be k(-7). Let z be ((x - -10) + 8/(-2))*-2. Solve -z*y - u = -8 for y.
-3
Suppose -4*g - 4*q + 86 = -q, 3*q + 54 = 3*g. Suppose a + 4 = 3*a + 2*z, g = a - 5*z. Solve -a*u - 12 = -u for u.
-3
Suppose -144*i + 161*i = 204. Solve 0 = 4*h - i*h for h.
0
Let b(i) = -i**2 - 3*i + 8. Let x be b(-6). Let z be (-5)/x*8 - 0. Solve z*f + 10 = -6 for f.
-4
Let n(x) = -4*x - 5*x + 9*x - 18*x**3 + x**2. Let g be n(-1). Suppose 0 = -5*q + 3*r + g, -5*q - 3*r + 2*r = -7. Solve -q*o = o - 6 for o.
2
Let b = -26 - -44. Suppose 0*y - 84 = 6*y. Let c be 38/(-133) - 4/y. Solve c = 4*j - 2 + b for j.
-4
Let o = 53 + -49. Let t = -7 - -7. Let h(c) = c**2 + 9*c + 2. Let p be h(-9). Solve 0*x - p*x - o = t for x.
-2
Suppose -2*t - 3*t = 0, 5*g - 40 = 3*t. Let j = -6 - -10. Solve 2*f = j*f - g for f.
4
Let b(u) = u**3 + 25*u**2 - 23*u + 85. Let g be b(-26). Solve -g*m + 0*m = 7 for m.
-1
Let v(q) = -q**2 + 2*q + 624. Let x be v(26). Let d = -17 + 42. Suppose -3*k - d = -8*k. Solve x = -2*y + y - k for y.
-5
Suppose 0 = a + 3*m - 9 - 4, -23 = -5*a - m. Suppose -4*q - a*x + 46 - 14 = 0, -5*x = q - 28. Solve 7 = q*v - 2 for v.
3
Let l(m) = m**3 - 2*m**2 + 2*m - 2. Let h be l(3). Suppose -3*g + h = -44. Suppose -2*d + 21 = -g. Solve -2*q = -7*q + d for q.
4
Suppose 3*q = -4 + 13. Let x be 8/(-52) - (-132)/13. Suppose -13*p = -18*p + x. Solve u - p*u = -q for u.
3
Let p = -3 - -2. Let g be (-2 - 1) + 6 + p. Let o be g/4 - (-28)/8. Solve o*h = -h - 10 for h.
-2
Let n be 1 + (-15)/(-6) + 30/(-60). Solve -8*a = -n*a + 20 for a.
-4
Suppose -5*y + 3*i + 66 = 0, 3*y - 36 = -0*i + 3*i. Solve 4*g + y = 7 for g.
-2
Let f = 32 - 30. Let s be (-3)/f + (-9)/(-2). Solve 6 + s = 3*p for p.
3
Suppose 2 = 3*j - 64. Let b = j - 7. Solve -2*z - 3*z + b = 0 for z.
3
Let k(u) = u**3 - 6*u**2 - 61*u + 216. Let v be k(10). Let r(t) = t**3 - 7*t**2 + 2*t - 5. Let a be r(7). Solve a = w + v for w.
3
Let w(u) = -u**3 - 6*u**2 + 6*u. Suppose -46 + 4 = 6*k. Let a be w(k). Solve -2*n - a = 1 for n.
-4
Suppose 1069 = 6*h + 859. Solve 39*l = h*l for l.
0
Let b be (-6)/12 + (-19)/(-2). Solve -34 = b*g + 2 for g.
-4
Let s = 4 - -2. Solve 0 = -4*r + s*r - 10 for r.
5
Suppose 36 = 2*u + u. Suppose -p - u = -4*p. Let c(y) = y - 4. Let x be c(p). Solve x = -r + 1 - 2 for r.
-1
Suppose -2*f - f = 0. Let y = -18 - -52. Suppose 5*z - y + 24 = f. Solve h - 5 = -z for h.
3
Suppose -3*v + 3 = 5*o, -13 = o + 8*v - 4*v. Solve o*k - 5 + 8 = 0 for k.
-1
Let i be 4 - -1 - (0/9)/2. Solve -178 + 168 = -i*d for d.
2
Suppose 0 = -11*a + 2*a + 108. Solve 5 = a*f + 53 for f.
-4
Let i be ((-5)/((-10)/(-3)))/(2/4). Let a be -1*(i + (0 - 2) + 1). Solve 0*r + a = -r for r.
-4
Let m = -252 - -254. Solve p = -m*p for p.
0
Let z be 8/(128/6) + 3/(-8). Suppose j - 2*v - 18 = z, 4*j - 2*v - 3*v = 60. Solve 4*k = -j - 10 for k.
-5
Suppose -6 = -3*u + 12. Suppose 3*w + 272 = -4*c, -w - 2*c + 4*c - 84 = 0. Let k be w/(-12) -
|
{
"pile_set_name": "DM Mathematics"
}
|
plify (((o**(-11)*o)/(o**(2/29)/o))/(o*o**(-1/4)/o)**(1/22))**1 assuming o is positive.
o**(-23115/2552)
Simplify ((f/f**(2/21))/(f/(f*f**(-6)))*(f**(5/2)/f)**50)**(18/7) assuming f is positive.
f**(8808/49)
Simplify (q**(5/3)/((q*q**(37/5)*q)/q))/(q**27/(q/q**8)) assuming q is positive.
q**(-611/15)
Simplify (g/(g/(g/g**(2/3)))*g*g/g**(2/19)*g**0*g*(g/g**(4/7)*g)/g*g)/(g/(g*g/(g/g**(-9)))*(g*g*g*g**(6/5)*g)/g)**(2/5) assuming g is positive.
g**(-6218/9975)
Simplify ((h**(-4/7))**(-12)*h**(-26)/h**30)**(-6) assuming h is positive.
h**(2064/7)
Simplify ((q*q**(-1/20)*q*q)/q**(-5/3)*q**(-1/15)*q**(-8))**(-20) assuming q is positive.
q**69
Simplify ((t/t**(-2/61)*t)/t)/t*t**(13/3)*((t*t**(-2/9)*t)/t)/t**9 assuming t is positive.
t**(-2117/549)
Simplify (f/f**0)**26/(f*f**(-2/7))**(2/41)*(f*f*f**(-1/4)*f)**5*(f**(2/5))**(1/8) assuming f is positive.
f**(57063/1435)
Simplify g**(1/22)*g*((g/g**8)/g)/g*g*g**(2/7)*g/(g**(-16)*g)*g assuming g is positive.
g**(1591/154)
Simplify ((((x/(x**(-10)/x))/(x*(x/x**(-10/9)*x)/x*x))**38)**(-3/22))**22 assuming x is positive.
x**(-2698/3)
Simplify ((w/(w**(-3/4)*w)*w)**49)**(-1/13)/((w*w/(w/((w/((w**(-4)/w)/w))/w)*w)*w**(1/9)*w)/(w**(-2/5))**(-26)) assuming w is positive.
w**(-7739/2340)
Simplify ((t/(t*t*t**(-1/6)*t))/t**(-3/16)*((t*t**(1/20)*t)/t)/(t*t/(t**20*t)))**(3/20) assuming t is positive.
t**(4417/1600)
Simplify (n**(-4)*n**(-1/7)*n**(-8)/(n/((((n**3/n)/n)/n*n)/n)))/((n**(-7)/n*n/(n*n*n**(-2/3)))/(((n**(-2/3)/n)/n)/n**(-2/3))) assuming n is positive.
n**(-143/21)
Simplify ((q/(q/(q/(q*q/q**(-2))))*q)**(-4/7)*q**2*q*q/q**(-8))**(-1/30) assuming q is positive.
q**(-46/105)
Simplify (((j**(2/45)/j**(-7/4))**1)**(-1/10))**(-6/7) assuming j is positive.
j**(323/2100)
Simplify (((l/(l*l*l**(-4/7)*l*l)*l)/(l/(l/l**3)))/(l**(-2)*l*l/(l*l*l**2*l*l)))/(l**(-8)*((l/l**(2/13)*l)/l*l*l*l)/l)**(-32) assuming l is positive.
l**(-14865/91)
Simplify (((x*(x**(-4/5)*x*x)/x*x)/x)**(-6/5)/((x/(x*x**(-2/27)))/(x/(x**2*x))))**(-3/11) assuming x is positive.
x**(2372/2475)
Simplify (z**(-14)/(z**(-7/10)/z)*z**(11/5)/(z/(z/(z/(z*z**4)))*z*z))**(1/10) assuming z is positive.
z**(-81/100)
Simplify (h**(-1/2))**(-2/15)*(h**(1/3))**(-7/10) assuming h is positive.
h**(-1/6)
Simplify ((b/(b/(b*b**(-2/9))*b*b))**18/(b*b**(2/7))**(-2/61))**(-38) assuming b is positive.
b**(356288/427)
Simplify (y**(1/53)*y/(y/(y*y*y*y/(y/((y*y**41)/y)*y))))/(y**28*y**(-4/5)) assuming y is positive.
y**(4192/265)
Simplify ((n**(-2/3)/n**(2/3))/((n*n**(1/3)*n)/(n*n**6)))**44 assuming n is positive.
n**(440/3)
Simplify ((l**8/(l*l*l*l**(-1/5)))/(l**(9/5)/l**(-7)))/((l**(-1/3))**(1/10)/(l**6*l*l/l**(1/5))) assuming l is positive.
l**(127/30)
Simplify ((k*k**(-5/3))/(k*k**(-4/7)/k))/(k**(1/4)/k)**(1/8)*(k**6/k*k**(-6))/(k**1/(k**3/k)) assuming k is positive.
k**(-1/672)
Simplify ((n/n**(-2)*n)**(-2/19)/(n**1*(n**2/n)/n))/((n/(n/(n**(-1/2)/n))*n**(-6))/(n/(n**(2/9)*n))**(-23)) assuming n is positive.
n**(3827/342)
Simplify (s*s/(s/s**9*s))**48/(s/(s*s**(3/11))*s/s**(-21)) assuming s is positive.
s**(4513/11)
Simplify (b**(-1/2)/b)/b*b*b*b/b**(-28)*b**(-22)/b**34 assuming b is positive.
b**(-55/2)
Simplify (((n/(n**(3/4)/n)*n**(-14))/(n/((n**(-2/15)*n)/n)*n*((n*n**(-14))/n*n)/n))**(20/11))**(6/19) assuming n is positive.
n**(-106/209)
Simplify (s*s**(-19)*(s**0/s)/s*(((s/s**2)/s*s)/s*s)**(-11/4))**(-42) assuming s is positive.
s**(1449/2)
Simplify (((x**(-15)/x)/(x/(x**(3/14)*x)))/(x**(-15)/(x**(-2)/x)))**(-35) assuming x is positive.
x**(265/2)
Simplify (b*b/(b**(1/2)/b))**(-41)*(b*b*b**(-1/2))/(b/(b/(b*b**(5/3)*b*b)))*(b**(1/4)*b)**(-19)*(b**(-1)/b*b)**(-11) assuming b is positive.
b**(-1421/12)
Simplify ((((z**(-14))**(2/3))**(-41))**(12/11))**(-5) assuming z is positive.
z**(-22960/11)
Simplify (d/(d**(-1/4)*d)*d*d*d*d/(d*d**(-3/7)*d)*d*(d/d**(2/7)*d)**(-8/3))/(d**2*d**(-4)*(d/d**(-1/6))/(d*d/d**(4/7))) assuming d is positive.
d**(115/84)
Simplify (((v*v*v**(-3/4))/(v*v**(-2/9)/v*v))/(v**(-1))**(-4/13))**(-12/11) assuming v is positive.
v**(-7/39)
Simplify (v*v*v/(v*v*v**(-15))*v**3)**(-8)/((v*v*v*v**(3/7)*v*v*v**(1/10))/(v**(-3/7)*v*(v*v**(2/5))/v)) assuming v is positive.
v**(-10959/70)
Simplify ((h*h/(h**22/h))/h*h)**(-2/19)/((h/h**48)/(h/(h/(h*h**(13/4))))) assuming h is positive.
h**(213/4)
Simplify (k**(-5)*k**(-5/4))**(1/11)/((k**0)**(-44)/(k**1)**(-1/40)) assuming k is positive.
k**(-261/440)
Simplify ((g**(-14))**32/(g/g**(4/9)*g*g*g**(-5/7)))**14 assuming g is positive.
g**(-56680/9)
Simplify (m**(1/7)/m)/(m/m**(-4/5))*((m**7/m)/m)/m*m**(-3/11) assuming m is positive.
m**(412/385)
Simplify (a**(4/7)/((a**(-2/9)/a)/a)*(a**(3/2)*a*a*a)/(a**(2/3)*a))/((a**2/a)**(1/7)*(a**2)**(-8/7)) assuming a is positive.
a**(979/126)
Simplify (((z*z/z**(6/11))/(z/z**(-34)))**24)**(-25) assuming z is positive.
z**(221400/11)
Simplify ((j**0)**(-7/6)/(j*j**(2/17)*(j/(j*j**6))/j))/((j**0)**(-45)*j**(2/15)*j**(7/2)) assuming j is positive.
j**(1147/510)
Simplify ((i/(i/i**(-1/4)))**34*(i*i**(1/6)*i)**(15/4))**(-18/5) assuming i is positive.
i**(27/20)
Simplify ((x**(-1))**(-20))**8/(x/x**(-3)*x/(x*x**1/x)*(x/x**5)/x**(3/2)) assuming x is positive.
x**(323/2)
Simplify (b**(-5)/(b/b**8*b))**(-10)*(((b*b**(2/3))/b)/b)**(-10/13)/(b**1*b)**42 assuming b is positive.
b**(-3656/39)
Simplify ((m**(2/9))**(-3))**(2/11)*m**(3/2)*m/(m*m**(-5/6)*m*m)*(m*(m/((m*m**(1/4))/m)*m)/m*m)**27 assuming m is positive.
m**(9829/132)
Simplify ((w*w**(1/9)*w*w/(w*w**(2/7)*w))/(w**1)**(-2/15))/((((w/(w/((w*w*w/w**(-3))/w*w)))/w)/w)/((w/w**(-1/2))/w))**(-1/8) assuming w is positive.
w**(7037/5040)
Simplify ((z**(3/32)*(z*z/(z*z*z**2))/z)/((z/(z/(z/z**3)))/z**(-24)))**(-7/6) assuming z is positive.
z**(5579/192)
Simplify (w**(1/8)/(w*w*w/(w/w**(1/4))*w)*w**(2/57)/w*w*w*w/((w**26*w)/w))**(-1/5) assuming w is positive.
w**(12353/2280)
Simplify ((q/q**5)/(q/(q*q**(-2))*q))/(q*((q*(q*((q/(q*q*q**(-5)*q)*q)/q*q)/q)/q*q)/q)/q*q**4)*((q/q**(3/7))/(q*(q*q**(-2))/q))**(-39) assuming q is positive.
q**(-534/7)
Simplify ((((y**0)**(-13/5))**(1/5))**(-2/121))**(-37) assuming y is positive.
1
Simplify w**5*w**(-2)*(w**1)**(-3/16)*(w**(1/4)*w*(w/(w*w**(1/2)))/w)**11 assuming w is positive.
w**(1/16)
Simplify ((p*(p*p**(11/5)/p)/p*p**(-12)/p)/(p**(-7)*p**(-5/3)))**(-6) assuming p is positive.
p**(64/5)
Simplify ((f**19*f/(f/(f**(-16)/f*f)))/(f/f**(-2/5)*f**(-2/39)))**18 assuming f is positive.
f**(1932/65)
Simplify ((b**(2/21)*(((b*b**8)/b)/b)/b)/(b/b**(-1/4)*b*b**(3/5)))/((b/(b*b*b/b**(-1)*b))**(-2/7))**(7/2) assuming b is positive.
b**(-317/420)
Simplify (n**(1/2)/n**(3/47))/(n**(4/5)/(n/(n/(n*n*n**30/n))*n)) assuming n is positive.
n**(14869/470)
Simplify (k**(-2/5)/k**(4/3))**(-2/7)*((k*k**(-1)*k)**(1/55))**(-33) assuming k is positive.
k**(-11/105)
Simplify (((c**(1/3)*c)/c)**(5/8)*(c**(-4/19)*c)/((c/(c/(c/c**(12/13)))*c)/c))**(3/10) assuming c is positive.
c**(5459/19760)
Simplify (r*r*r**(-39)*r*r*r**(-2/5)*r**(-13)*r**(-3))**(-45) assuming r is positive.
r**2313
Simplify k**(-8)/k**(-21)*k**(-5/8)/k*k*k*(((k/((k*k**(-12/13)/k*k)/k*k))/k)/k)/k assuming k is positive.
k**(1175/104)
Simplify (c**(-18))**(12/5)*(c**42)**(16/5) assuming c is positive.
c**(456/5)
Simplify (a**(-2/11)*a)/a*a*a**(1/9)*(a*a**0*a)**(-4/29)*a**(1/5)/(a**(-7)/a)*a*a*a*a*a**(-3)*a**(2/15) assuming a is positive.
a**(28672/2871)
Simplify v/(v/v**(-1/2))*v**(2/7)*v/(v*(v/v**(-2))/v)*v/(v**(1/9)*v)*(v**(-4)/v**3)/(v**0/v)**(-13) assuming v is positive.
v**(-2813/126)
Simplify (m*m**(1/3))/m*m*m*m**(-2)*(m**1*m)**(-27)*(m/(m*m/(m/m**(2/5))*m*m*m*m)*m/(m*m*m**(-4/5)*m))**43 assuming m is positive.
m**(-4417/15)
Simplify ((c**(-1/7)/c*c**(-1)*(c**(1/2))**(2/37))**(2/11))**(-21) assuming c is positive.
c**(3288/407)
Simplify ((j**(-6))**(-7/3)*j/j**(12/13)*j*j/(j/(j**(-2/37)/j)))**(-32) assuming j is positive.
j**(-215840/481)
Simplify j**(-6)*(j**3*j)/j*j/(j*j*j*j*j*j/(j*j/j**(-3/4)))*j/(j*j/(j**(-5/2)/j)*j*j)*j*(j*j*j**(-1/5)*j/j**(-6))/(j/j**(-1))**(-35) assuming j is positive.
j**(1361/20)
Simplify ((o**1)**(-47)*(o**1/o)**(9/11))/((o*(o*o/((o*o*o**(4/5))/o*o))/o)/(o/(o**5*o))*o*o/(o*o*(o**(-2/17)*o)/o)*o**(-2)) assuming o is positive.
o**(-4192/85)
Simplify ((z/(z*(z*z**(-2)*z)/z))**(-14)/(z/(z/(z*z*z/z**(-7)*z)))**(-17))**(2/
|
{
"pile_set_name": "DM Mathematics"
}
|
0 - (0 + 0 + 5)?
-4
Evaluate -11 + -12 - (-2 + 3 + -7 + -1).
-16
What is 18 - (11 - (-17 + 10))?
0
Evaluate 32 - 17 - 25 - 1.
-11
Evaluate -9 + 6 + 8 + -11.
-6
What is (-7 - -8 - -23) + (-3 - (-2 + 0))?
23
Evaluate 8 + -2 + -8 + (1 - -2) + -3.
-2
(2 - (-2 + -2)) + 4 - (71 + -72)
11
What is the value of 10 - ((10 - 14) + 7)?
7
Calculate (0 + 2 - -1) + (-28 - (-5 + -9)).
-11
What is 3 - (0 - 8 - (-14 + 3))?
0
1 + 15 + (-3 - -5 - 5) + 0
13
-10 - (-7 + 4 + 0)
-7
(2 - -2) + (5 - 2) + (-30 - -19)
-4
What is -18 + (8 - (7 - (-2 - (-5 + -1))))?
-13
What is -11 - (-17 - (7 + -14)) - 9?
-10
Evaluate -2 - -15 - (-10 - -2 - (-6 + -5)).
10
Calculate (1 - (-6 + -12)) + -15.
4
Evaluate (-6 - 3) + 1 + 22 + -23.
-9
What is (231 - 234) + (0 - 0)?
-3
Calculate -13 + (-17 - -40) + -18.
-8
Evaluate 9 - (-28 + -7) - (-6 + 15 + -1).
36
What is (2 - (-1 - 9)) + 0 + -1?
11
Evaluate 5 - -27 - 7 - 11 - -2.
16
What is the value of -22 + 26 + (-1 - -7) + -8?
2
What is 19 + -19 + (-3 - 2)?
-5
What is 29 - (-37 + 36 + 9)?
21
Calculate 2 + -17 - ((1 - 9) + 11).
-18
What is the value of -18 - -1 - (-10 + -33 + 30)?
-4
-10 + -13 + 2 + 10
-11
Calculate -7 + -1 + (217 - 194).
15
Calculate -40 + 49 - (4 + -1).
6
What is the value of -12 + (-3 - (-3 + -15) - 9)?
-6
What is the value of (17 + 19 + -26 - 16) + (-31 - 1)?
-38
Calculate 4 - 19 - 0 - -19.
4
Evaluate -1 + 0 + 2 + (-6 - (108 - 87)).
-26
Evaluate 4 + 35 + 3 - 32.
10
Evaluate -11 - (-32 + (-11 - -22)) - 0.
10
Calculate (67 - 72 - (0 + 5)) + -3.
-13
3 - (2 + (3 - (-1 + -1)) + 6)
-10
What is 38 - 56 - -12 - 22?
-28
-6 + 0 + -68 + 24 + 44
-6
What is 7 - (-8 - ((9 - 0) + -12)) - -10?
22
Evaluate -13 - (18 - (-16 - -42)).
-5
Evaluate -24 - ((1 + -2 - 1) + -6).
-16
Calculate (5 + -6 - -5) + (7 - -2 - 1).
12
What is the value of 4 + -4 + 7 + -7 + -6 + -3?
-9
What is the value of -26 - -13 - (2 + (7 - (1 + 2)))?
-19
What is 2 + (-20 + (-9 - -26) - (6 - 1))?
-6
What is the value of 16 + (0 - 5) + -2 + -16?
-7
What is (-21 + 6 - -8 - -11) + -1?
3
What is the value of -1 + 6 - (392 - 372)?
-15
Calculate 6 + (54 + -12 - 34).
14
What is (8 - (-7 - -3)) + 3?
15
What is 110 - 108 - (-9 + (0 - 0))?
11
Calculate 12 - 29 - -35 - (-3 - (-6 + 2)).
17
Evaluate 15 - (-17 + (10 - -18)) - (0 + 3).
1
Calculate -3 - (7 + -13) - -20 - (-3 + 1).
25
Evaluate (2 - 9) + 241 + -242.
-8
What is (31 - 11) + -20 - -16?
16
Calculate 3 + (-13 - (-18 - -6)).
2
Evaluate 36 + 15 + -21 - (5 + 5).
20
25 + (-16 - 11) + -24
-26
Evaluate -12 + 6 + -28 - -32.
-2
Calculate (0 - -8) + 13 + -52 + 42.
11
What is -2 - -13 - (-30 - -53)?
-12
What is the value of -728 + 724 + 1 + 1 + -12?
-14
Calculate 35 + -48 + (10 - -4).
1
-2 + -8 + -3 - (-214 + 189)
12
What is the value of 8 + (7 - (16 + 38) - -17)?
-22
6 + -1 - (590 + -601)
16
What is 7 - (1 + 14 + 3)?
-11
(-19 - (-16 + -5)) + (-5 - 2 - 4)
-9
Evaluate -176 - -162 - (-1 + -3).
-10
What is the value of (-7 - 5) + 32 - 27?
-7
6 + 3 + (7 - 8) + (0 - -2)
10
What is the value of (1 + -3 - 9) + 7 + -2?
-6
Evaluate (-23 - -24) + (1 - -13 - (-5 + 3)).
17
Evaluate 1 - -11 - (-151 + 161).
2
-3 - (-27 + -7 + 20) - -11
22
Evaluate 42 + -24 + (-24 - -22).
16
Calculate -25 + (-22 - -78) + -24.
7
What is the value of -1 + -1 + -5 + -53 + 41?
-19
What is the value of 8 + (3 - (3 - 1))?
9
Evaluate (-6 - (1 + (-4 - -6)) - -1) + 18.
10
-1 + (5 + -2 - 12)
-10
Calculate (3 - 22) + 9 + (-11 - (-4 + 1)).
-18
What is the value of 29 + 5 + -20 + 14 + 2?
30
(1 - (6 + -1)) + -27 + 38
7
What is the value of 10 - (11 - 24 - -8 - -8)?
7
What is the value of 4 + (-1 - -5 - 0 - (-105 - -92))?
21
Evaluate 91 + -89 + 2 + -2.
2
What is 26 + (-10 + -4 - -10)?
22
What is (11 - 19) + -1 - -6?
-3
6 + 5 + (0 - -3) + (-71 - -67)
10
0 + 7 - (15 - 3) - 5 - -5
-5
Calculate -35 + 24 - -28 - -5.
22
What is the value of (-1 + -4 - 14) + (13 - 5)?
-11
What is the value of -41 + 31 + -2 + 3?
-9
23 + 10 + (12 - 31)
14
Evaluate (-17 - -16 - (-3 + 8)) + 12.
6
Calculate 0 - 8 - (45 - 39).
-14
What is -21 + 2 - (0 + -9)?
-10
What is the value of 15 - (27 - 8 - -1)?
-5
What is the value of 38 + 0 + 447 + -468?
17
What is the value of (24 - 1) + (-34 - (5 - 22) - -19)?
25
What is the value of 2 + -31 + 37 + (33 - 63)?
-22
Calculate 2 + 10 + 7 + (12 - 24).
7
Evaluate (-18 + -7 - -52) + -7.
20
Calculate 1 + -42 + (25 - (12 + -7)) + -9.
-30
Evaluate 2 - (-2 - 0) - (-7 - (2 - 0)).
13
What is 6 + 0 - ((4 - -3) + (6 - 7))?
0
What is 21 - (6 - -33) - -27?
9
Evaluate 1 - -13 - (-246 + 253).
7
Evaluate 1 - 5 - (-15 + 26 - 20).
5
Evaluate -1 + 3 - -4 - ((3 - -21) + -24).
6
What is 1 + 4 + (128 - 131) + 8?
10
Calculate 2 - (2 - (-14 + -2)).
-16
Evaluate 9 + (5 + -10 + 11 - (-12 + 8)).
19
2 + (13 - 2) + -2 + (1 - 4)
8
Evaluate -4 - (4 + -19 + 13).
-2
What is the value of (2 - 3) + 1 + -12 + (-16 - -23)?
-5
-16 + 16 + 10 + -21
-11
(-32 - -14 - -34) + (0 - -3)
19
What is the value of 3 + -5 + -2 + -3 - (-15 + 10)?
-2
-14 + 8 + 8 + 2
4
(-6 + (4 - -8) + -12 - -9) + 5
8
What is 4 - (13 + -3 - 9)?
3
Evaluate (14 - 28) + -14 - -11.
-17
Evaluate (-146 - -136) + (-1 - (-24 - -1)).
12
What is -2 + 4 - ((-2 - 12) + 12)?
4
Evaluate -19 - (5 + -3) - ((-17 - 3) + 14).
-15
(-7 - -13) + (-12 - 5) + 8
-3
Calculate 19 - (27 + -42 + 17).
17
Evaluate 21 + -3 + 45 + 47 + -99.
11
Evaluate (-10 - -8) + 3 - (-1 + -2 + 4).
0
Calculate -7 - (25 + -15 - -11 - 12).
-16
What is the value of (69 - 122) + 47 - (-2 + -23)?
19
(1 - -6) + 63 + -63 + -14 + 5
-2
-23 - (-4 - (1 - -7))
-11
Evaluate (-4 + (-3 - -10) - (-22 - -22)) + 4.
7
Evaluate (309 - 336) + 18 + 1.
-8
What is -26 - (-6 + -8 - (-9 + 10))?
-11
-19 + (-184 - -171 - (1 - (11 + 1)))
-21
What is the value of (7 - 4 - -6) + 11 + -4 - -4?
20
What is -43 + (-4 - 12) + 36?
-23
-30 - -11 - (5 - 9)
-15
Evaluate 15 - (-1 - (-2 - -8)) - (-1 + 2).
21
What is -52 - -26 - (6 - (4 - (-2 + 2)))?
-28
(0 - 2) + (27 - 32) + -11 + 2
-16
Evaluate (98 - 90) + (-1 - 14).
-7
What is 5 + -16 + (-2 + -2 - 0)?
-15
What is the value of -3 - (-8 - -5) - 7 - (-1 + -4)?
-2
7 + ((0 - 2) + 0 - (7 - 1))
-1
Evaluate 7 - -1 - (229 + -219).
-2
Evaluate (0 - 5) + (-215 + 220 - (1 + 1)).
-2
3 + -3 + 9 + (26 - 29) + -12
-6
Calculate -3 + 0 + 5 + 7 + -5 + 0.
4
Calculate -19 - (-27 - (-30 + -5)).
-27
What is the value of (-17 - (6 + -18)) + -6?
-11
What is the value of (25 - 24) + -6 - (7 + 0)?
-12
What is (11 - -1) + (13 - (43 - 10))?
-8
What is the value of 60 + 1 + -14 + -21?
26
What is the value of -25 + 21 + 5 + 15?
16
What is -18 + (34 - (-19 - -34))?
1
What is the value of 0 - (-10 - (53 - 39))?
24
What is (0 - 0) + -2 - (-65 + 106 + -47)?
4
Calculate -9 - (4 + -5) - (59 + -53).
-14
What is 19 - (-6 - -11) - 7?
7
What is the value of -20 + 4 + 7 + -6 - -9?
-6
14 + (18 - (15 + 8))
9
Calculate -12 + 36 - (9 + 5).
10
(0 - -5) + (2 - (13 + -7)) + 2
3
What is 11 + 6 - (23 + 1)?
-7
What is (-9 - (-21 - -29)) + 11 + 26?
20
What is (1 - -1) + -1 - ((-17 - -2) + 13)?
3
What is the value of -34 - (-37 + 38 + -23)?
-12
Evaluate -1 + 11 + -12 + (8 - 12 - -12).
6
What is -2 + 1 + 0 + (19 - 11) + 8?
15
What is the value of -53 + 17 + 19 - (1 + -11)?
-7
What is -3 + 0 - (-11 - (-23 + 12)) - 8?
-11
What is the value of 31 + (-1 - (38 + -20) - (-6 + -3))?
21
Evaluate 3 - 4 - (-5 - (6 - 7) - -1).
2
What is the value of (27 - (74 + 30)) + 47?
-30
What is 111 + -72 - (-5 + 21)?
23
Calculate 2 + (5 - (12 - 5) - -8).
8
What is the value of 55 + -46 + 0 + -3?
6
Evaluate -2 - 0 - -8 - (27 + 7 + -34).
6
Evaluate -10 + (-19 - (5 - 9)) + -2.
-27
What is the value of (-9 - (8 + -4 + -4)) + 2?
-7
What is the value of (21 - 12) + 4 + -2 - -15?
26
-14 - (5 + -25) - 19
-13
15 - (75 + -35 + -10 + -1)
-14
What is -26 + (68 - 19) + -4?
19
Evaluate -15 + 23 - (6 + -7) - (11 + -1).
-1
Evaluate 1 - 5 - -6 - -1.
3
2 + -3 - -3 - (-7 - -14 - 10)
5
(1 - (-24 + (-8 - -8))) + 38 + -36
27
-12 + 6 + 12 - (-8 + -1)
15
What is the value of 29 + (2 - (4 - 9)) - (9 + 0)?
27
-5 - (-2 + -4 + 7) - 2
-8
(28 - 8 - 24) + (14 - 1) + 1
10
Evaluate 175 + -203 + (11 - -3).
-14
What is -4 + (-2 - 7) + 25?
12
What is the value of (3 - 6) + 5 + 13 + -7 + -7?
1
Calculate 12 + 8 - 11 - -3.
12
What is the value of 57 + 72 + -44 + -59?
26
What is 36 - 36 - ((9 - 0) + -7 + 23)?
-25
-15 - (1 + (22 - 44))
6
Calculate -20 - -2 - (-229 - -223).
-12
Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 1320112 (base 4) in base 14?
2b42
What is -252 (base 11) in base 13?
-1a0
What is -c8 (base 13) in base 7?
-323
102cb (base 14) to base 5
2221422
Convert 8a7 (base 11) to base 9.
1435
Convert -642 (base 7) to base 8.
-504
What is -88 (base 11) in base 9?
-116
What is 979a (base 11) in base 13?
5b70
Convert -2402 (base 6) to base 12.
-402
Convert 3411 (base 6) to base 7.
2221
What is -1000011 (base 2) in base 16?
-43
What is -a92 (base 11) in base 9?
-1716
-9856 (base 10) to base 2
-10011010000000
11360 (base 11) to base 15
4cd6
What is 1552 (base 13) in base 9?
4234
Convert -14415 (base 7) to base 12.
-2379
Convert -101102 (base 3) to base 5.
-2111
What is 310423 (base 5) in base 3?
111212120
Convert -2363 (base 7) to base 14.
-46a
Convert -2dc6 (base 16) to base 12.
-6946
-3954 (base 10) to base 11
-2a75
32541 (base 6) to base 5
121100
What is -14561 (base 7) in base 6?
-30445
-1f4 (base 16) to base 15
-235
Convert 1110211022 (base 3) to base 10.
29033
-484 (base 9) to base 13
-24a
15351 (base 6) to base 13
11b6
Convert 76672 (base 8) to base 12.
16762
What is -1032100 (base 4) in base 8?
-11620
Convert 1121210 (base 3) to base 9.
1553
Convert -2ba7 (base 15) to base 3.
-110212111
Convert 3371 (base 13) to base 5.
212230
Convert 1110110001110011 (base 2) to base 13.
21723
Convert -20333 (base 4) to base 9.
-708
What is -12194 (base 12) in base 13?
-b188
140445 (base 9) to base 13
2ccb1
Convert 59ce (base 16) to base 4.
11213032
-13541 (base 9) to base 11
-69a5
-132121 (base 4) to base 15
-89a
-e6 (base 15) to base 5
-1331
Convert -2415 (base 9) to base 8.
-3404
What is -1000010011010 (base 2) in base 7?
-15251
What is 9566 (base 14) in base 11?
183a4
Convert -6210 (base 9) to base 6.
-33013
b (base 12) to base 3
102
What is -11100000 (base 2) in base 14?
-120
What is -701a (base 12) in base 16?
-2f56
What is 360350 (base 7) in base 5?
4040014
Convert 10835 (base 10) to base 15.
3325
-10010000011 (base 2) to base 11
-960
-1692 (base 14) to base 9
-5487
Convert 136 (base 8) to base 15.
64
What is 2422 (base 11) in base 6?
22402
What is -1022221 (base 3) in base 5?
-12340
Convert -44 (base 8) to base 3.
-1100
27047 (base 8) to base 13
54bb
Convert -491 (base 16) to base 8.
-2221
Convert 42671 (base 10) to base 16.
a6af
-111120 (base 3) to base 9
-446
-5330 (base 10) to base 9
-7272
What is 1232033 (base 4) in base 16?
1b8f
Convert -63 (base 12) to base 11.
-69
What is 1452 (base 7) in base 11?
484
Convert 10fd (base 16) to base 10.
4349
574 (base 8) to base 3
112002
What is -220221021 (base 3) in base 4?
-10130002
What is 14499 (base 11) in base 13?
9484
What is 4000 (base 5) in base 9?
615
Convert 3cd (base 14) to base 16.
301
Convert 659 (base 11) to base 9.
1067
-8e2c (base 15) to base 13
-10986
What is 2446 (base 7) in base 15?
411
-911 (base 16) to base 9
-3158
What is 1001020 (base 3) in base 4?
23322
Convert 175535 (base 8) to base 16.
fb5d
863 (base 14) to base 15
755
Convert -2032304 (base 5) to base 3.
-1200220001
Convert -11101121 (base 3) to base 10.
-3202
Convert 8a3 (base 16) to base 5.
32321
What is -751 (base 14) in base 9?
-1873
-23220 (base 6) to base 16
-cfc
-b01a (base 16) to base 12
-2210a
Convert -8e7 (base 15) to base 13.
-bc2
12201 (base 3) to base 4
2122
Convert -2984 (base 10) to base 5.
-43414
Convert -864a (base 15) to base 11.
-1a397
What is -11111 (base 4) in base 7?
-665
Convert -216 (base 11) to base 6.
-1111
-1151 (base 11) to base 5
-22013
-450 (base 10) to base 3
-121200
Convert -1345 (base 7) to base 5.
-4043
What is 1101001101010011 (base 2) in base 10?
54099
-897 (base 13) to base 2
-10111000100
7046 (base 14) to base 6
225114
99 (base 10) to base 12
83
-d1 (base 14) to base 10
-183
57479 (base 10) to base 14
16d39
Convert 310 (base 11) to base 9.
455
41313 (base 5) to base 16
a94
Convert 136ba (base 13) to base 11.
25318
What is -101303 (base 4) in base 10?
-1139
What is -b9d (base 16) in base 2?
-101110011101
-1300 (base 5) to base 16
-c8
-100100111010 (base 2) to base 11
-1858
Convert -105 (base 9) to base 11.
-79
453e (base 16) to base 8
42476
Convert 30103 (base 6) to base 10.
3927
What is 2121222 (base 3) in base 2?
11101111100
-10110101010011 (base 2) to base 11
-8799
Convert -3408 (base 14) to base 5.
-242044
What is f9ad (base 16) in base 5?
4021132
Convert -175 (base 16) to base 6.
-1421
What is 23210 (base 11) in base 6?
415120
What is -261 (base 8) in base 11?
-151
4020 (base 11) to base 5
132341
Convert -1111110110001 (base 2) to base 13.
-3901
360 (base 10) to base 7
1023
Convert -1aa2 (base 15) to base 9.
-7828
What is 33023 (base 4) in base 5?
12341
What is -1c26 (base 15) in base 6?
-44143
Convert 59f (base 16) to base 15.
65e
Convert 8f79 (base 16) to base 11.
25660
Convert -525 (base 10) to base 7.
-1350
-15013 (base 8) to base 12
-3a37
Convert 12100 (base 3) to base 5.
1034
Convert -149 (base 11) to base 12.
-126
Convert 13b (base 12) to base 15.
cb
What is -212140 (base 5) in base 16?
-1c02
What is 30044 (base 5) in base 15?
869
Convert -11403 (base 5) to base 3.
-1011121
1657 (base 8) to base 12
667
What is -113750 (base 8) in base 14?
-1025a
What is 110111010111 (base 2) in base 15?
10b3
Convert -5435 (base 9) to base 13.
-1a8a
Convert 2100101 (base 3) to base 6.
11531
-26613 (base 9) to base 11
-12579
4b1 (base 14) to base 11
784
What is 110000011 (base 2) in base 15?
1ac
-a45 (base 16) to base 6
-20101
-3776 (base 9) to base 3
-10212120
Convert 11545 (base 6) to base 13.
a25
Convert -473 (base 9) to base 11.
-325
1101010100 (base 2) to base 12
5b0
a3 (base 11) to base 4
1301
Convert 117221 (base 8) to base 6.
511533
What is 1a07 (base 14) in base 4?
1021213
6558 (base 15) to base 13
99c8
146 (base 10) to base 3
12102
Convert 254111 (base 6) to base 16.
599b
What is 6bc6 (base 14) in base 7?
105536
b (base 13) to base 8
13
-1032 (base 6) to base 4
-3230
What is 5355 (base 6) in base 7?
3365
-51b0 (base 13) to base 5
-330142
What is 1149 (base 12) in base 15?
889
What is 285 (base 15) in base 10?
575
What is -121433 (base 5) in base 15?
-157d
601a (base 14) to base 11
1142a
-2 (base 7) to base 11
-2
Convert 1101 (base 10) to base 4.
101031
Convert 13441 (base 10) to base 6.
142121
-221022 (base 3) to base 13
-407
Convert 1003003 (base 5) to base 9.
23851
What is 8 (base 16) in base 2?
1000
What is -303 (base 9) in base 4?
-3312
What is -3011 (base 10) in base 2?
-101111000011
Convert 11201 (base 5) to base 16.
321
Convert 11507 (base 12) to base 14.
8647
-10d9 (base 15) to base 3
-11220120
-74a9 (base 16) to base 8
-72251
-110110 (base 3) to base 16
-150
-724 (base 14) to base 3
-1221000
Convert 1 (base 12) to base 4.
1
-14830 (base 10) to base 11
-10162
-226 (base 10) to base 4
-3202
Convert -10230 (base 7) to base 4.
-213120
Convert bb (base 15) to base 9.
215
Convert 1110000001010 (base 2) to base 13.
3362
Convert -12b (base 13) to base 15.
-db
120101212 (base 3) to base 5
324403
11010122 (base 3) to base 9
4118
7a85 (base 11) to base 13
4aac
-320 (base 13) to base 4
-20111
1157 (base 9) to base 8
1536
Convert -2247 (base 9) to base 11.
-1282
Convert 10404 (base 5) to base 15.
339
What is 10a (base 13) in base 16?
b3
What is 3230 (base 8) in base 11?
12a5
Convert -73e6 (base 15) to base 4.
-11333010
Convert -51434 (base 6) to base 12.
-3b7a
-17432 (base 11) to base 5
-1240402
What is 344324 (base 5) in base 2?
11000010110000
Convert -344 (base 14) to base 7.
-1614
What is -3204 (base 6) in base 11?
-5a9
Convert 3b1 (base 13) to base 14.
347
What is -1323 (base 6) in base 4?
-11103
What is e1 (base 15) in base 3?
21211
-122003 (base 5) to base 3
-20100102
Convert -467 (base 14) to base 11.
-726
10100100000001 (base 2) to base 5
313442
Convert 31123 (base 4) to base 9.
1154
44763 (base 9) to base 3
1111212010
6000 (base 7) to base 5
31213
Convert 1223 (base 4) to base 6.
255
Convert 3ad (base 16) to base 13.
575
What is -1212202 (base 3) in base 16?
-55a
-29b (base 12) to base 2
-110010111
Convert 132120 (base 4) to base 9.
2600
What is -260 (base 13) in base 14?
-21a
What is -6238 (base 9) in base 10?
-4571
66 (base 16) to base 3
10210
-b3 (base 12) to base 10
-135
Convert -1565 (base 13) to base 7.
-12053
What is -27575 (base 8) in base 3?
-121200021
-100101110101101 (b
|
{
"pile_set_name": "DM Mathematics"
}
|
term of 4589, 9496, 14721, 20258, 26101, 32244?
-c**3 + 165*c**2 + 4419*c + 6
What is the v'th term of -2337, -3599, -4263, -4329?
299*v**2 - 2159*v - 477
What is the c'th term of 10661, 46146, 106451, 191576, 301521, 436286, 595871?
12410*c**2 - 1745*c - 4
What is the y'th term of 731152, 731162, 731172, 731182, 731192, 731202?
10*y + 731142
What is the t'th term of -54078388, -54078387, -54078386?
t - 54078389
What is the o'th term of -424170, -423907, -423644?
263*o - 424433
What is the r'th term of -267, -1109, -2375, -4065, -6179, -8717, -11679?
-212*r**2 - 206*r + 151
What is the c'th term of 32267, 32969, 33671, 34373, 35075, 35777?
702*c + 31565
What is the j'th term of -23206, -92114, -206724, -367036, -573050, -824766, -1122184?
-22851*j**2 - 355*j
What is the g'th term of 880966, 1761932, 2642898?
880966*g
What is the l'th term of 649522, 649483, 649440, 649393, 649342, 649287, 649228?
-2*l**2 - 33*l + 649557
What is the v'th term of 131734, 131723, 131712, 131701?
-11*v + 131745
What is the s'th term of 1683, 3314, 4895, 6420, 7883, 9278, 10599?
-s**3 - 19*s**2 + 1695*s + 8
What is the a'th term of -6193, -24654, -55409, -98458, -153801, -221438?
-6147*a**2 - 20*a - 26
What is the n'th term of 6176, 4503, 2830?
-1673*n + 7849
What is the d'th term of 42280, 43672, 45066, 46462, 47860?
d**2 + 1389*d + 40890
What is the x'th term of -375, -470, -699, -1128, -1823, -2850?
-11*x**3 - x**2 - 15*x - 348
What is the n'th term of -19277167, -38554332, -57831499, -77108668, -96385839?
-n**2 - 19277162*n - 4
What is the o'th term of -1747360, -1747363, -1747368, -1747375, -1747384, -1747395, -1747408?
-o**2 - 1747359
What is the f'th term of 43417, 43430, 43461, 43522, 43625, 43782?
2*f**3 - 3*f**2 + 8*f + 43410
What is the u'th term of -158322275, -158322276, -158322277, -158322278?
-u - 158322274
What is the n'th term of 87470, 87479, 87494, 87515, 87542, 87575?
3*n**2 + 87467
What is the l'th term of 238049, 476102, 714153, 952202?
-l**2 + 238056*l - 6
What is the r'th term of -50305, -100567, -150899, -201301, -251773, -302315, -352927?
-35*r**2 - 50157*r - 113
What is the o'th term of -47032, -93842, -140652?
-46810*o - 222
What is the b'th term of 1439, 1471, 1419, 1241, 895, 339, -469?
-7*b**3 + 81*b + 1365
What is the k'th term of 324, 2390, 5860, 10758, 17108, 24934, 34260?
4*k**3 + 678*k**2 + 4*k - 362
What is the a'th term of -1442, -541, 426, 1489, 2678, 4023, 5554, 7301?
5*a**3 + 3*a**2 + 857*a - 2307
What is the v'th term of -2403, -2728, -3311, -4158, -5275, -6668, -8343, -10306?
-v**3 - 123*v**2 + 51*v - 2330
What is the s'th term of 42882, 85950, 129450, 173598, 218610, 264702, 312090?
36*s**3 + 42816*s + 30
What is the d'th term of -3103, -3246, -3393, -3544?
-2*d**2 - 137*d - 2964
What is the k'th term of -154457, -308883, -463309?
-154426*k - 31
What is the w'th term of 723585, 723699, 723813?
114*w + 723471
What is the i'th term of 11844, 12089, 12334?
245*i + 11599
What is the b'th term of -7569, -19705, -31841, -43977, -56113, -68249?
-12136*b + 4567
What is the b'th term of -35000, -70676, -106352, -142028, -177704?
-35676*b + 676
What is the k'th term of -4633559, -4633556, -4633553?
3*k - 4633562
What is the t'th term of -8803695, -17607402, -26411109, -35214816, -44018523?
-8803707*t + 12
What is the h'th term of -13004900, -13004901, -13004902, -13004903, -13004904?
-h - 13004899
What is the w'th term of 11425, 11723, 12219, 12913, 13805, 14895, 16183?
99*w**2 + w + 11325
What is the j'th term of -57514, -230240, -518148, -921238, -1439510?
-57591*j**2 + 47*j + 30
What is the d'th term of 16861571, 33723141, 50584711, 67446281, 84307851, 101169421?
16861570*d + 1
What is the q'th term of -40444, -88654, -136864, -185074, -233284?
-48210*q + 7766
What is the z'th term of 11376, 24381, 37384, 50385, 63384, 76381, 89376?
-z**2 + 13008*z - 1631
What is the d'th term of 266877, 533710, 800543?
266833*d + 44
What is the a'th term of 363270011, 363270013, 363270015, 363270017?
2*a + 363270009
What is the j'th term of 6379, 51075, 172391, 408637, 798123?
6385*j**3 + j - 7
What is the i'th term of 122757, 244996, 367235, 489474, 611713?
122239*i + 518
What is the n'th term of -14064, -56190, -126406, -224712?
-14045*n**2 + 9*n - 28
What is the h'th term of -129095761, -129095766, -129095771, -129095776, -129095781, -129095786?
-5*h - 129095756
What is the d'th term of 1194685, 2389384, 3584081, 4778776, 5973469?
-d**2 + 1194702*d - 16
What is the b'th term of 205177, 205171, 205165, 205159?
-6*b + 205183
What is the l'th term of 329, 1499, 4525, 10337, 19865, 34039, 53789, 80045?
155*l**3 - 2*l**2 + 91*l + 85
What is the m'th term of -29812, -29775, -29740, -29707, -29676, -29647?
-m**2 + 40*m - 29851
What is the j'th term of 8347, 8142, 7793, 7294, 6639, 5822, 4837?
-j**3 - 66*j**2 + 8414
What is the w'th term of -1224, -1518, -1804, -2076, -2328, -2554?
w**3 - 2*w**2 - 295*w - 928
What is the d'th term of 17576, 72240, 163980, 292796?
18538*d**2 - 950*d - 12
What is the i'th term of -114719, -85001, -35471, 33871, 123025, 231991?
9906*i**2 - 124625
What is the i'th term of 63104538, 126209080, 189313622, 252418164?
63104542*i - 4
What is the w'th term of 49522730, 99045472, 148568216, 198090962?
w**2 + 49522739*w - 10
What is the o'th term of 157677, 315326, 472975, 630624, 788273?
157649*o + 28
What is the r'th term of 7832, 10299, 12780, 15281, 17808, 20367?
r**3 + r**2 + 2457*r + 5373
What is the z'th term of -2349, -9371, -21073, -37449, -58493?
z**3 - 2346*z**2 + 9*z - 13
What is the f'th term of 41, -471, -973, -1459, -1923, -2359?
f**3 - f**2 - 516*f + 557
What is the x'th term of 2052115, 2052118, 2052121, 2052124?
3*x + 2052112
What is the b'th term of -7768264, -7768266, -7768270, -7768276?
-b**2 + b - 7768264
What is the q'th term of 2283, -67, -2417, -4767, -7117, -9467?
-2350*q + 4633
What is the i'th term of 17716261, 17716264, 17716267, 17716270?
3*i + 17716258
What is the q'th term of -36603, -25845, -15097, -4365, 6345, 17027, 27675?
-q**3 + q**2 + 10762*q - 47365
What is the p'th term of 40425, 80771, 121037, 161223?
-40*p**2 + 40466*p - 1
What is the j'th term of -367354, -367345, -367336, -367327, -367318?
9*j - 367363
What is the k'th term of 76348, 152851, 229502, 306301, 383248, 460343, 537586?
74*k**2 + 76281*k - 7
What is the w'th term of 63639, 126733, 189827?
63094*w + 545
What is the z'th term of 274531, 548859, 823197, 1097551, 1371927, 1646331, 1920769, 2195247?
z**3 - z**2 + 274324*z + 207
What is the a'th term of -8445, -34135, -76963, -136929?
-8569*a**2 + 17*a + 107
What is the b'th term of 3186675, 3186674, 3186673?
-b + 3186676
What is the m'th term of 19094, 12267, 5440?
-6827*m + 25921
What is the a'th term of 3501397, 7002789, 10504181, 14005573?
3501392*a + 5
What is the w'th term of 65869, 131648, 197211, 262450, 327257?
-18*w**3 + 65905*w - 18
What is the z'th term of 2757, 10987, 24753, 44097, 69061, 99687?
7*z**3 + 2726*z**2 + 3*z + 21
What is the r'th term of 12469, 12729, 12989, 13249, 13509?
260*r + 12209
What is the h'th term of 709569505, 709569501, 709569495, 709569487, 709569477, 709569465?
-h**2 - h + 709569507
What is the z'th term of -42875, -43201, -43527, -43853, -44179, -44505?
-326*z - 42549
What is the v'th term of -8042936, -8042949, -8042962?
-13*v - 8042923
What is the b'th term of 44319, 44547, 45175, 46407, 48447, 51499, 55767?
34*b**3 - 4*b**2 + 2*b + 44287
What is the n'th term of -379, -2507, -8309, -19627, -38303, -66179?
-307*n**3 + 5*n**2 + 6*n - 83
What is the u'th term of -291872, -583808, -875798, -1167842, -1459940, -1752092, -2044298?
-27*u**2 - 291855*u + 10
What is the d'th term of 18265, 16006, 13747, 11488, 9229, 6970?
-2259*d + 20524
What is the z'th term of -1658, -8946, -28728, -67250, -130758, -225498?
-1041*z**3 - z**2 + 2*z - 618
What is the r'th term of -6271, -10429, -14587, -18745?
-4158*r - 2113
What is the g'th term of -123425, -248898, -374371, -499844?
-125473*g + 2048
What is the p'th term of -712, -1292, -1736, -2044, -2216, -2252, -2152?
68*p**2 - 784*p + 4
What is the z'th term of -810, -1641, -2476, -3315, -4158, -5005, -5856?
-2*z**2 - 825*z + 17
What is the x'th term of 3486, 30683, 104548, 248415, 485618, 839491, 1333
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 379?
373
What is the remainder when 106145 is divided by 80?
65
Calculate the remainder when 196290 is divided by 153.
144
Calculate the remainder when 12084 is divided by 482.
34
Calculate the remainder when 10306 is divided by 1282.
50
Calculate the remainder when 658648 is divided by 3944.
0
What is the remainder when 14239 is divided by 7038?
163
Calculate the remainder when 1473 is divided by 479.
36
What is the remainder when 420 is divided by 224?
196
Calculate the remainder when 1422 is divided by 53.
44
What is the remainder when 4911 is divided by 503?
384
What is the remainder when 936507 is divided by 19?
16
What is the remainder when 19642 is divided by 6191?
1069
Calculate the remainder when 2065 is divided by 36.
13
What is the remainder when 5255 is divided by 596?
487
What is the remainder when 2637 is divided by 46?
15
Calculate the remainder when 18804 is divided by 752.
4
What is the remainder when 924690 is divided by 72?
66
Calculate the remainder when 2591 is divided by 512.
31
Calculate the remainder when 65765 is divided by 21913.
26
Calculate the remainder when 5372 is divided by 890.
32
What is the remainder when 8520 is divided by 1313?
642
Calculate the remainder when 120728 is divided by 30.
8
Calculate the remainder when 151727 is divided by 540.
527
Calculate the remainder when 7980 is divided by 2616.
132
Calculate the remainder when 890 is divided by 543.
347
Calculate the remainder when 99379 is divided by 12.
7
What is the remainder when 2741 is divided by 149?
59
Calculate the remainder when 15804 is divided by 243.
9
What is the remainder when 360477 is divided by 36046?
17
What is the remainder when 21842 is divided by 227?
50
Calculate the remainder when 1635 is divided by 1605.
30
What is the remainder when 12129 is divided by 21?
12
Calculate the remainder when 1690407 is divided by 413.
411
What is the remainder when 14728 is divided by 82?
50
Calculate the remainder when 25474 is divided by 9.
4
Calculate the remainder when 8499 is divided by 328.
299
Calculate the remainder when 466963 is divided by 79.
73
Calculate the remainder when 88967 is divided by 219.
53
What is the remainder when 10357 is divided by 1198?
773
What is the remainder when 22164 is divided by 4?
0
Calculate the remainder when 60859 is divided by 57.
40
Calculate the remainder when 16178 is divided by 4038.
26
Calculate the remainder when 885 is divided by 702.
183
What is the remainder when 248212 is divided by 63?
55
Calculate the remainder when 16712 is divided by 162.
26
What is the remainder when 1417 is divided by 414?
175
What is the remainder when 2838 is divided by 271?
128
What is the remainder when 24637 is divided by 24603?
34
Calculate the remainder when 270866 is divided by 59.
56
Calculate the remainder when 2958 is divided by 493.
0
What is the remainder when 2822 is divided by 98?
78
What is the remainder when 236 is divided by 54?
20
Calculate the remainder when 618952 is divided by 103157.
10
Calculate the remainder when 8792 is divided by 135.
17
Calculate the remainder when 96630 is divided by 27.
24
Calculate the remainder when 186989 is divided by 1087.
25
Calculate the remainder when 526 is divided by 526.
0
What is the remainder when 1745 is divided by 67?
3
Calculate the remainder when 73538 is divided by 293.
288
Calculate the remainder when 5615 is divided by 332.
303
What is the remainder when 2062 is divided by 660?
82
What is the remainder when 728 is divided by 240?
8
Calculate the remainder when 324578 is divided by 18.
2
Calculate the remainder when 210687 is divided by 45.
42
Calculate the remainder when 46470 is divided by 240.
150
What is the remainder when 12689 is divided by 90?
89
What is the remainder when 13769 is divided by 212?
201
What is the remainder when 3691 is divided by 478?
345
What is the remainder when 17173 is divided by 8578?
17
What is the remainder when 24280 is divided by 4840?
80
What is the remainder when 793 is divided by 25?
18
What is the remainder when 45461 is divided by 4546?
1
Calculate the remainder when 7373 is divided by 14.
9
Calculate the remainder when 22496 is divided by 1119.
116
What is the remainder when 48254 is divided by 8020?
134
Calculate the remainder when 11132 is divided by 2457.
1304
What is the remainder when 26610 is divided by 155?
105
Calculate the remainder when 2604671 is divided by 152.
151
Calculate the remainder when 17035 is divided by 16.
11
Calculate the remainder when 77495 is divided by 62.
57
Calculate the remainder when 50255 is divided by 97.
9
Calculate the remainder when 26141 is divided by 17.
12
Calculate the remainder when 21975777 is divided by 380.
377
Calculate the remainder when 14053 is divided by 41.
31
Calculate the remainder when 2628642 is divided by 155.
152
Calculate the remainder when 205739 is divided by 616.
611
Calculate the remainder when 10247 is divided by 82.
79
Calculate the remainder when 79796 is divided by 39891.
14
Calculate the remainder when 715 is divided by 28.
15
Calculate the remainder when 17555 is divided by 228.
227
Calculate the remainder when 1044 is divided by 254.
28
What is the remainder when 3277 is divided by 142?
11
What is the remainder when 4706 is divided by 935?
31
Calculate the remainder when 698 is divided by 89.
75
Calculate the remainder when 3364 is divided by 1099.
67
Calculate the remainder when 24632 is divided by 848.
40
Calculate the remainder when 11305 is divided by 66.
19
Calculate the remainder when 38869 is divided by 381.
7
What is the remainder when 603582 is divided by 2847?
18
Calculate the remainder when 2361 is divided by 259.
30
Calculate the remainder when 133569 is divided by 264.
249
Calculate the remainder when 1278 is divided by 966.
312
What is the remainder when 8459 is divided by 8446?
13
Calculate the remainder when 64996 is divided by 314.
312
What is the remainder when 9658 is divided by 84?
82
Calculate the remainder when 77 is divided by 39.
38
What is the remainder when 3137 is divided by 285?
2
What is the remainder when 859315 is divided by 280?
275
Calculate the remainder when 3197 is divided by 740.
237
Calculate the remainder when 144511 is divided by 61.
2
Calculate the remainder when 2136 is divided by 388.
196
Calculate the remainder when 1479527 is divided by 65.
62
Calculate the remainder when 32888 is divided by 230.
228
What is the remainder when 19444 is divided by 2429?
12
Calculate the remainder when 148290 is divided by 131.
129
Calculate the remainder when 36244 is divided by 509.
105
Calculate the remainder when 49288 is divided by 1365.
148
Calculate the remainder when 15597 is divided by 5021.
534
Calculate the remainder when 115836 is divided by 38603.
27
What is the remainder when 266836 is divided by 17788?
16
Calculate the remainder when 149318 is divided by 271.
268
What is the remainder when 945 is divided by 104?
9
What is the remainder when 2594 is divided by 396?
218
Calculate the remainder when 114634 is divided by 59.
56
What is the remainder when 83435 is divided by 141?
104
What is the remainder when 87221 is divided by 258?
17
Calculate the remainder when 2846 is divided by 37.
34
Calculate the remainder when 50741 is divided by 295.
1
What is the remainder when 81468 is divided by 16?
12
What is the remainder when 8059 is divided by 193?
146
Calculate the remainder when 2965 is divided by 238.
109
What is the remainder when 103394 is divided by 55?
49
What is the remainder when 6445 is divided by 290?
65
Calculate the remainder when 41482 is divided by 601.
13
Calculate the remainder when 17461 is divided by 406.
3
What is the remainder when 616852 is divided by 41?
7
Calculate the remainder when 1371 is divided by 1057.
314
Calculate the remainder when 7245 is divided by 42.
21
What is the remainder when 1593 is divided by 58?
27
What is the remainder when 80193 is divided by 123?
120
Calculate the remainder when 18718 is divided by 340.
18
What is the remainder when 2207 is divided by 1102?
3
What is the remainder when 75569 is divided by 12588?
41
Calculate the remainder when 4209 is divided by 282.
261
What is the remainder when 72123 is divided by 46?
41
What is the remainder when 10
|
{
"pile_set_name": "DM Mathematics"
}
|
What is b rounded to three decimal places?
-0.021
Let w be 22/3*6/(-4). Let c = 13 + w. Suppose 5*b + c*f = 56008, f + 8 = 3*f. What is b rounded to the nearest 1000?
11000
Let b = -449 - -449.22046. Let o = -13.377 - -13.6. Let i = b - o. What is i rounded to four dps?
-0.0025
Let x = -3086.000001453 + 3086. What is x rounded to 6 decimal places?
-0.000001
Let m = 16.941 - 17. Let f = 0.059228 + m. What is f rounded to five dps?
0.00023
Let x = -10 - -17. Let b = 4 + 3.9. Let q = b - x. Round q to 1 dp.
0.9
Let l(h) = 2*h - 3. Let a(t) = 3*t - 6. Let x(o) = 3*a(o) - 5*l(o). Let u be x(-8). Let w = -7 + u. What is w rounded to the nearest 10?
0
Let j = -2343.06852 + 2343. Let r = 1.4 - 1.33. Let c = j + r. Round c to four dps.
0.0015
Let m be (2015/2)/((-2)/(-80000)). What is m rounded to the nearest one million?
40000000
Let d = -2951.30025 + 2951. Let h = -0.38 - -0.08. Let a = h - d. What is a rounded to 4 decimal places?
0.0003
Let i = -4052 + 4051.7953. Round i to two dps.
-0.2
Let k be (-4)/(-1 + -1) + 0 + 4101088. Suppose -7*o = 2548910 + k. What is o rounded to the nearest one hundred thousand?
-1000000
Let g = -106 + -82. Let q = g + 187.999999846. Round q to seven dps.
-0.0000002
Let s = 30298383 - 30299647.9423. Let j = s + 1265. What is j rounded to 2 decimal places?
0.06
Let g = 70795 - 70833.033. Let o = 63 + -25. Let s = o + g. Round s to 2 dps.
-0.03
Let i = -202747586126538 - -202747439771055.999929. Let m = i + 146355541. Let j = m + -59. What is j rounded to five decimal places?
-0.00007
Let o = -697.83 + 695. Round o to zero decimal places.
-3
Let y = 39875224.802 - 39875028.80200079. Let g = y - 196. Round g to seven decimal places.
-0.0000008
Let n = 707.7 + -166.1. Round n to the nearest 100.
500
Let r be (320001 - 1)*129/6. What is r rounded to the nearest one hundred thousand?
6900000
Let n = 11.7 + -0.7. Let i = -134.2660583 + 145.26605856. Let j = n - i. Round j to seven decimal places.
-0.0000003
Let o = -285900.0453 + 286103. Let h = o - 203. Round h to 2 dps.
-0.05
Let v be -3*(2 + -1) - -19. Suppose 2510 = v*q - 15*q. What is q rounded to the nearest one hundred?
2500
Let s = 0.19 + -18.19. Let h = 3411.3 - 3429.3088. Let n = h - s. Round n to three dps.
-0.009
Let g = -0.1078948 + 0.1076. What is g rounded to 5 dps?
-0.00029
Let c = 1704.98768 + -1705. What is c rounded to 3 decimal places?
-0.012
Let k = 363 + -362.9999759. What is k rounded to 6 dps?
0.000024
Let p = -1113 + 761.7. Let s = 404 - 725. Let t = p - s. Round t to zero dps.
-30
Let g(d) = 5*d**2 - 3*d - 2. Suppose u - 4 = -0*u. Suppose 2 = -q - u*y - 1, -25 = -3*q + 5*y. Let a be g(q). Round a to the nearest 10.
110
Let w be 1116 - ((-28)/(-13) + 30/(-195)). Round w to the nearest 100.
1100
Let t = -19 + 22.2. Let o = -16.4 - -13.048. Let y = t + o. What is y rounded to two decimal places?
-0.15
Let i = 2.6499 - 1.8102. What is i rounded to 2 decimal places?
0.84
Let c = -1560 - -560. Let q be (-22860 - (3 - 3))/(6/c). What is q rounded to the nearest one hundred thousand?
3800000
Let u = 124969616 - 124969719.999913. Let s = 104 + u. What is s rounded to five decimal places?
0.00009
Suppose -39*o + 3*i = -38*o + 45069994, -o - 4*i = 45070008. Round o to the nearest 1000000.
-45000000
Let p = 7897.5084899558 + -5359139.9784786558. Let o = p + 5351245. Let d = o - 2.53. What is d rounded to six dps?
0.000011
Let n = -641.994 - -642. Round n to 3 decimal places.
0.006
Suppose -i = -2*i + 95. Suppose -3*g - s = 85, 0 = 3*g - 6*g + s - i. Let m be 25/2*24/g. What is m rounded to zero dps?
-10
Let y = -0.04510669 + 0.0451. Round y to 7 dps.
-0.0000067
Let f = 5085959443760 - 5085978213510.9999675. Let r = f + 18769785. Let a = 34 - r. Round a to six decimal places.
-0.000033
Suppose 0 - 2 = -2*p. Let t be 0*(-3 - -1)/2. Let u be 153 + (-3 - t) + p. Round u to the nearest ten.
150
Let c = -4.64 - -4.63998652. Round c to six decimal places.
-0.000013
Let z = -4490972072763472 + 4490972146767620.40000013. Let g = -74004146 + z. Let d = 2.4 - g. What is d rounded to seven decimal places?
-0.0000001
Let s = -0.016123 + 0.0155. Round s to 4 decimal places.
-0.0006
Let c = 44 + -25. Let w = 18.9999986 - c. What is w rounded to six dps?
-0.000001
Suppose -407 = 6*n - 2279. Round n to the nearest 100.
300
Suppose -4*b = -4*h + 36 - 4, -3*b = -h + 18. Suppose -3*d - h*r = -201, 331 = 5*d - r + 4*r. Round d to the nearest 10.
70
Let m = -13.1 + 14.84. Let l = m + -1.74000189. Round l to seven dps.
-0.0000019
Let f = -1965 - -1964.97458. Round f to 2 dps.
-0.03
Let y = -0.129 - -0.002. Let n = y - 0.215. Let x = 18.642 + n. What is x rounded to the nearest integer?
18
Let w = -6931 - -6982.33. What is w rounded to the nearest 10?
50
Suppose -d = -2*d - 140200. What is d rounded to the nearest 10000?
-140000
Let j = -10 - 5. Let d = -19041242 - -19041227.0000204. Let b = j - d. What is b rounded to 6 decimal places?
-0.00002
Let r(k) be the third derivative of -k**4/24 + 2*k**3 - 6*k**2. Let l be r(12). Suppose l = 15*x - 20*x - 16000000. Round x to the nearest one million.
-3000000
Let y = 234.317 + 3.383. Round y to the nearest integer.
238
Suppose 23*v - 233384 = -2445984. What is v rounded to the nearest 1000?
-96000
Let m = -578.0002709 - -578. What is m rounded to five decimal places?
-0.00027
Let n = 3.0986 - 3.123666. Let y = -0.075 + 0.05. Let q = y - n. Round q to 5 dps.
0.00007
Let n = 587382 + -587360.000288. Let x = -22.039 + 0.039. Let v = x + n. What is v rounded to five dps?
-0.00029
Let k = 35372.31912271 + -35030.319125. Let c = 342 - k. What is c rounded to 7 decimal places?
0.0000023
Let g = 442 - -2790. Round g to the nearest one thousand.
3000
Suppose 0 = -3*y - 9, -4*y = 4*u + y + 1241219. Let k = -468301 - u. What is k rounded to the nearest one hundred thousand?
-200000
Let j be (2/6)/((-1)/57108*4). Let h = j - -1449. What is h rounded to the nearest one hundred?
-3300
Suppose -46 - 122 = 6*d. What is d rounded to the nearest 10?
-30
Let f = 0.0612 - 0.3038. Let w = f - 0.1848. Let j = w + 0.42. Round j to three decimal places.
-0.007
Suppose 43909 + 45231 = -4*q. Let y = q - -45185. Round y to the nearest one thousand.
23000
Let m = -0.078 - -0.036. Let t = -0.0420001 - m. What is t rounded to 6 decimal places?
0
Let k = 484.036 - 1.036. Let o = k + -483.000203. What is o rounded to 4 dps?
-0.0002
Let r = 52 - 51.999442. What is r rounded to five decimal places?
0.00056
Suppose -484*i = -478*i + 13308000. Round i to the nearest ten thousand.
-2220000
Let v(o) = o**2 + 13*o + 5. Let b be v(5). Let s be (-66)/(-14) + (-2)/(-7). Suppose -y + b = -q + y, 3*q + 340 = -s*y. What is q rounded to the nearest 10?
-110
Let k = 23589 - 23408.01. Let t = -182 + k. What is t rounded to one dp?
-1
Let q be (-3 + 1)*2 - -16. Let i be 8/q + 84/9. Round i to the nearest 10.
10
Let l = 46.9372 + 0.0428. What is l rounded to the nearest integer?
47
Let o = 0.1155 - -72.3345. Round o to the nearest integer.
72
Let f = 692 + -1182.5. What is f rounded to the nearest 10?
-490
Let n = -1.14 - -0.04. Let l = n + 1.13. Let k = l - -0.07. What is k rounded to one dp?
0.1
Let q = -19.08 + 0.08. Let u = 0.0681 + -18.9181. Let f = u - q. Round f to 1 dp.
0.2
Let z = 48 + -48.33. Let w = -50.67 + z. Let a = 50.99958 + w. Round a to 4 dps.
-0.0004
Let s = 47.1117 - 46.881649. Let q = 0.23 - s. Round q to 5 dps.
-0.00005
Let x = -901.0001123 - -901. What is x rounded to six dps?
-0.000112
Let y(g) = -3*g**3 + 12*g**2 - g + 16. Let t be y(23). What is t rounded to the nearest 1000?
-30000
Let j be (-28200)/90*(900 - 0). What is j rounded to the nearest 10000?
-280000
Let y = 127.5 - -28.5. Let k = 163.7 - y. Round k to 0 dps.
8
Suppose -5*f + 7*p = 2*p - 13520, -3*p = -12. Suppose 4*d + 3*w + f = 0, 4*w + 37 - 2773 = 4*d. What is d rounded to the nearest one hundred?
-700
Let g be (-1 + -25)/(-4*10/3280). What is g rounded to the nearest 100?
2100
Suppose 0*x = 5*x + 162370. Let r be (x/39 + (-2)/3)*414. Round r to the nearest one hundred thousand.
-300000
Let q = 79.99 - 80. What is q rounded to three decimal places?
-0.01
Let l = -22 - -22. Let d be (l - 3/(-9))*15. Let s be (17/(-5) - -3)*d. Round s to the nearest 10.
0
Let z = -18.258 + -0.142. Let l = 20 + z. L
|
{
"pile_set_name": "DM Mathematics"
}
|
Collect the terms in -12*i - 62188*i**2 + 23*i - 7*i - 4*i + 62352*i**2.
164*i**2
Collect the terms in 194*p - 626*p + 199*p + 216*p.
-17*p
Collect the terms in 61812 + 100*h - 20608 - 20598 - 20606.
100*h
Collect the terms in -284311*h + 142272*h + 142034*h.
-5*h
Collect the terms in -116259 + 5124*f + 116270 - 5100*f.
24*f + 11
Collect the terms in 143*l**2 - 5*l**3 - 144*l**2 - 4463 + 4463.
-5*l**3 - l**2
Collect the terms in 21431*t + 1881 - 21428*t - 1881.
3*t
Collect the terms in 1065734*o**2 + 1065731*o**2 - 2131462*o**2.
3*o**2
Collect the terms in 823190387640057 - 3*y - 823190387640057.
-3*y
Collect the terms in 14616 - 58431 - 7*v + 14608 + 14611 + 14596.
-7*v
Collect the terms in -2799777*z**2 + 1399896*z**2 + 1400143*z**2.
262*z**2
Collect the terms in -220 - 2725*p**3 + 220.
-2725*p**3
Collect the terms in 3*m - 74933*m**3 - m + m + 22*m**2.
-74933*m**3 + 22*m**2 + 3*m
Collect the terms in -44*o**3 + 31 + 36 - 339 + 270.
-44*o**3 - 2
Collect the terms in -429 - 803*x + 429 + 153*x.
-650*x
Collect the terms in -7*x**2 - 1892053 + 3783809 - 1891756 - 4*x + 4*x.
-7*x**2
Collect the terms in m**2 - 4 - 23*m**2 + 306*m - 18*m**2 - 4.
-40*m**2 + 306*m - 8
Collect the terms in 6479 + 595*k**3 - 128*k**3 - 6479.
467*k**3
Collect the terms in -2*u**3 - 23*u**2 + 131*u**2 - 45*u**2 - 54*u**2 - 9*u**2.
-2*u**3
Collect the terms in 107*w**2 + 628*w - 1417*w + 613*w.
107*w**2 - 176*w
Collect the terms in 7*z**2 + 8 - 7*z**2 - 8 + 7*z**2 - 3*z**2.
4*z**2
Collect the terms in 4125*w - 14*w**2 + 2317*w - 6442*w.
-14*w**2
Collect the terms in 210*m**2 - 104 + 308 - 25*m + 22*m.
210*m**2 - 3*m + 204
Collect the terms in -564*v + 206*v + 209*v + 87*v.
-62*v
Collect the terms in 4*o**2 + 2959 + 2944 - 8850 + 2943.
4*o**2 - 4
Collect the terms in -733 - 327 + 1060 + 209*t**3.
209*t**3
Collect the terms in -67528*v**3 - 4*v**2 + 124844*v**3 + 271801*v**3 + 4*v**2.
329117*v**3
Collect the terms in -326 + 8*m**3 + m**2 + 3629 - 329 - m**2 - 2974.
8*m**3
Collect the terms in -335*b + 73882307 - 73882307.
-335*b
Collect the terms in 6*n - 2*n + 1261 - 600 - 661.
4*n
Collect the terms in 3874*i + 1472*i - 1345*i + 3068*i - 1485*i - 1.
5584*i - 1
Collect the terms in -13799*l**2 - 13799*l**2 + 27591*l**2 - 16 - 20 + 36.
-7*l**2
Collect the terms in 3*b - 7*b + b + 35681 + 6*b + 2*b.
5*b + 35681
Collect the terms in 43*b**2 + 1583 - 2*b**3 + 1514 - 44*b**2.
-2*b**3 - b**2 + 3097
Collect the terms in 130*d**3 + 286*d**2 + 266*d**2 - 552*d**2 + 1399*d**3.
1529*d**3
Collect the terms in -659 + 7*z - 648 + 1957 - 21*z - 650.
-14*z
Collect the terms in 217*w**3 - 729*w**3 + 4806394*w**2 - 4806394*w**2.
-512*w**3
Collect the terms in -12843*l - 1811*l - 9747*l - 20 + 5978*l.
-18423*l - 20
Collect the terms in -11999*x + 12534*x - 41011*x.
-40476*x
Collect the terms in 7509032*z**2 - 27*z + 27*z - 15018075*z**2 + 7509030*z**2.
-13*z**2
Collect the terms in 1581693*h**2 + 692815*h**2 - 140502*h**2.
2134006*h**2
Collect the terms in 68*p**2 + 64*p**2 + 58*p**2 - 203*p**2 - 156.
-13*p**2 - 156
Collect the terms in 22021*l + 21759*l - 44821*l.
-1041*l
Collect the terms in -289 + 289 + 7063*c**2 - 23*c.
7063*c**2 - 23*c
Collect the terms in 7 - 776*g**3 + 242*g**3 + 282*g**3 + 298*g**3.
46*g**3 + 7
Collect the terms in 12*c - 5*c - 441 + 169 + 272.
7*c
Collect the terms in 0 + 6527*u + 2 - 1097*u - 2.
5430*u
Collect the terms in 449527*b - 11*b**2 + 2 - 2.
-11*b**2 + 449527*b
Collect the terms in -319*r - 605*r**2 + 319*r - 595.
-605*r**2 - 595
Collect the terms in 3 - 243*m - 169 + 68*m - 231.
-175*m - 397
Collect the terms in -364*k + 301*k - 3*k**3 + 857*k + 8*k**3.
5*k**3 + 794*k
Collect the terms in -12602*j - 12546*j + 37653*j - 12551*j.
-46*j
Collect the terms in -563531*h + 0 - 620902*h + 0 - 767978*h.
-1952411*h
Collect the terms in 7369 - 1175*d - 7369 + 588*d + 587*d + 393*d**2.
393*d**2
Collect the terms in 75460543138 - 75460543138 + 24*w.
24*w
Collect the terms in 21 + 5*l**2 - 60*l**2 + 27*l**2 + 29*l**2.
l**2 + 21
Collect the terms in 3000217*w**3 + 3000270*w**3 - 6000486*w**3.
w**3
Collect the terms in -103*s - 11*s - 86*s + 144*s - 85*s + 2*s - 2.
-139*s - 2
Collect the terms in -117*t**3 + 14*t**3 - 31*t**3.
-134*t**3
Collect the terms in -220*p + 220*p + 62764*p**3.
62764*p**3
Collect the terms in -1238031*m + 1237842*m - 23077 + 23077.
-189*m
Collect the terms in -45*k - 202*k**2 + 45*k - 229*k**2 - 411*k**2.
-842*k**2
Collect the terms in 6*i - 6*i - 489786988*i**3 + 489787044*i**3.
56*i**3
Collect the terms in -43 + 87 + 2*h + 0 - 35 - 36.
2*h - 27
Collect the terms in 2604*t + 1400*t - 1781*t + 1143*t + 2044*t.
5410*t
Collect the terms in 67*r + 9215552094 - 9215552094.
67*r
Collect the terms in 34650*w + 34439*w - 68986*w.
103*w
Collect the terms in 8*p - 27*p - 3919 + 14*p + 7*p.
2*p - 3919
Collect the terms in -162784*k - 118205*k - 37924*k.
-318913*k
Collect the terms in 2*g + 80*g - 7*g - 30*g + 117*g.
162*g
Collect the terms in -9853*c + 19413*c - 28*c**2 + 84*c**2 - 9560*c + 84*c**2.
140*c**2
Collect the terms in -83*y**3 - 2 - 5*y - 97*y**2 + 161*y**3 - 80*y**3.
-2*y**3 - 97*y**2 - 5*y - 2
Collect the terms in -552*m**2 + 1097*m**2 - 556*m**2.
-11*m**2
Collect the terms in 0 + 114*p**2 + 10*p**3 - 108*p - 12*p**3 - 609*p - 2.
-2*p**3 + 114*p**2 - 717*p - 2
Collect the terms in 29*w**3 - 88076472*w**2 + 88076472*w**2 + 5*w - 3*w.
29*w**3 + 2*w
Collect the terms in -15266663*r**2 - 15267852*r**2 + 30534512*r**2.
-3*r**2
Collect the terms in 50*l**2 - 329*l**2 - 46 + 199*l**2 + 37*l**2 + 37*l**2 + 46.
-6*l**2
Collect the terms in 2*u - 14 - 59*u**3 + 1384*u**2 - 696*u**2 - 688*u**2.
-59*u**3 + 2*u - 14
Collect the terms in -b**2 - 4 + 20 - 2 + 18*b + 0*b - 13.
-b**2 + 18*b + 1
Collect the terms in -5 + 203089*c + 67024*c - 10 - 16957*c.
253156*c - 15
Collect the terms in -6*g**2 + 225 + 8*g**2 - 358.
2*g**2 - 133
Collect the terms in -210 - 219 + 4428*c + 426.
4428*c - 3
Collect the terms in -372394*f**2 - 257932*f**2 + 630323*f**2.
-3*f**2
Collect the terms in -18*h + 5*h + 8*h + 8671 + 1509.
-5*h + 10180
Collect the terms in -3154*g - 17 - 9 - 9 + 38.
-3154*g + 3
Collect the terms in 72 - 187231*j - 72.
-187231*j
Collect the terms in 44 - 3*q**2 - 132 + 44 + 46 - 60*q + 1487*q.
-3*q**2 + 1427*q + 2
Collect the terms in 41*u + 100*u**2 - 236*u**2 + 101*u**2 - 44*u**2 + 80*u**2.
u**2 + 41*u
Collect the terms in -28*o**2 - 61 - 13*o**2 + 118 + 44*o**2 - 5*o**2 - 57.
-2*o**2
Collect the terms in 46 + 301831*g**3 - 1 - 301817*g**3.
14*g**3 + 45
Collect the terms in -4529960*s + 13*s**2 - 29*s**2 + 17*s**2.
s**2 - 4529960*s
Collect the terms in 68294*s**2 + 68300*s**2 + 68333*s**2 - 204930*s**2.
-3*s**2
Collect the terms in 28*v + 20*v + 33*v + 16*v + 28*v - 127*v.
-2*v
Collect the terms in -60 - 67 - 2*o**3 + 318*o + 255 - 59 + o**2 - 69.
-2*o**3 + o**2 + 318*o
Collect the terms in -61*a - 58*a + 177*a - 61*a + 2554.
-3*a + 2554
Collect the terms in -53 - 42 + 60*a + 14 + 81.
60*a
Collect the terms in -2122*c - 2092*c - 2147*c + 8519*c - 2121*c.
37*c
Collect the terms in g - 14 + 98400*g**3 + 19 - 7.
98400*g**3 + g - 2
Collect the terms in -6 + 20 - 340*m**3 + 276*m**3 - 14.
-64*m**3
Collect the terms in 18*k**2 + 8838*k - 9*k**2 - 4*k**2 - 1834*k - 7*k**2.
-2*k**2 + 7004*k
Collect the terms in 16337032*y + 30324150*y - 13396146*y.
33265036*y
Collect the terms in -257*s**3 - 19 + 110*s**3 - 57 + 129*s**3.
-18*s**3 - 76
Collect the terms in -2358 - 228*v**3 + 5*v + 230*v**3 - 3*v - 1617 - 2109.
2*v**3 + 2*v - 6084
Collect the terms in 8 - 632*o**2 + 2014*o**2 - 642*o**2 + 8 - 737*o**2 - 16.
3*o**2
Collect the terms in -11471*g**3 + 22940*g**3 + 49533*g**2 - 11477*g**3 - 49533*g**2.
-8*g**3
Collect the terms in 11 + 27 - 72 - 3*l - 36 - 32.
-3*l - 102
Collect the terms in 4*l**3 + l**3 + 8*l**2 - 4*l**3 - 4597 + 4601.
l**3 + 8*l**2 + 4
Collect the terms in -64 - 939*m**3 - 87 + 1856*m**3 + 151 - 921*m**3.
-4*m**3
Collect the terms in -6*n**2 - 61 - 64 + 35 + 12*n - 2 - 12*n**3.
-12*n**3 - 6*n**2 + 12*n - 92
Collect the terms in -117 + 65 + 63 - 11 + 18*a**3.
18*a**3
Collect the terms in -17304*x + 34601*x - 17294*x.
3*x
Collect the terms in 13*c**3 + 46*c - 133*c - 36*c**3 + 2*c**2 + 15*c**3.
-8*c**3 + 2*c**2 - 87*c
Collect the terms in 276*
|
{
"pile_set_name": "DM Mathematics"
}
|
greater: -0.01211 or 2?
2
Do -151 and -150 have the same value?
False
Is 55 <= 50?
False
Is -534 at least -534?
True
Which is smaller: 1 or -22/221?
-22/221
Which is smaller: 28 or -5?
-5
Which is bigger: 0.49 or -1?
0.49
Which is greater: 164/3 or 56?
56
Is 0 bigger than -3803?
True
Are 5/2 and 0.234 equal?
False
Is 5/1558 less than or equal to 1?
True
Is -7 greater than -7?
False
Is -6 at most as big as -381/77?
True
Which is greater: -5627 or 3/4?
3/4
Are 2/3893 and 0 non-equal?
True
Is -700 greater than -9108/13?
True
Which is greater: 13582 or 13583?
13583
Do -1296 and -1293 have the same value?
False
Is -91 != 6/31?
True
Is 4/6905 != 1?
True
Which is smaller: 4 or 81/31?
81/31
Is 19 <= 178/9?
True
Are -80/47 and -2 unequal?
True
Do -1485 and -1485 have different values?
False
Does -0.32 = 26?
False
Is 1/16 smaller than -1?
False
Is 130 at least as big as 134?
False
Which is bigger: -12 or -89?
-12
Which is bigger: -190/83 or -1?
-1
Which is smaller: -0.1 or -0.0647?
-0.1
Which is smaller: 46 or 93/2?
46
Which is smaller: 59 or 63?
59
Which is smaller: -421 or -422?
-422
Which is smaller: 6/239 or -1?
-1
Which is greater: -2/259 or -4?
-2/259
Is 23344 at least 23342?
True
Which is bigger: -5 or -110/27?
-110/27
Which is smaller: 263 or 264?
263
Is -62 at least as big as 4?
False
Which is smaller: -254 or 0.1?
-254
Is 10 smaller than 29/3?
False
Do -14 and -221/15 have the same value?
False
Is 0.52 at least as big as -15.6?
True
Which is smaller: 1 or -1.18?
-1.18
Which is smaller: -308 or -310?
-310
Which is bigger: 4720 or 14158/3?
4720
Is -2.1 greater than -155?
True
Which is greater: 312 or 0?
312
Which is greater: -6 or -63?
-6
Is -140 != -841/6?
True
Which is smaller: 2 or -91?
-91
Is -2653 less than -2651?
True
Is -86 < -99?
False
Is 445 < 442?
False
Which is smaller: -584 or -2917/5?
-584
Is -1/6 > 1/2?
False
Which is smaller: -1 or -2/1011?
-1
Is 0 <= 3/49?
True
Which is smaller: -0.1 or 32/37?
-0.1
Which is bigger: 0 or -5/1608?
0
Is -1 at most 3/161?
True
Which is greater: 3 or 29/7?
29/7
Do 209 and 2/3 have different values?
True
Is 597/8 at most 75?
True
Which is smaller: 15 or 663?
15
Is 1 bigger than 288?
False
Which is smaller: -6459 or 2?
-6459
Do -4829/2 and -2414 have the same value?
False
Is -62 bigger than -790/13?
False
Are 15541/5 and 3109 unequal?
True
Is -938 at most -939?
False
Which is bigger: -4333 or -4340?
-4333
Is 0.03 <= -47?
False
Is 0 < -8/47?
False
Which is greater: 16 or 12?
16
Is 1/7155 not equal to 1?
True
Is 2/3 != 0.38?
True
Is -480 < -7189/15?
True
Do 133/10 and 14 have the same value?
False
Which is greater: 1.1 or 1?
1.1
Is 2633 < -1.1?
False
Is -0.11 not equal to 31?
True
Which is bigger: 328 or 1642/5?
1642/5
Is 2 greater than or equal to 525/218?
False
Is 1 at least 1/22605?
True
Do 0.04 and 9 have different values?
True
Which is smaller: 3/20 or 4?
3/20
Which is bigger: 1 or 4764?
4764
Which is smaller: 0 or -39.3?
-39.3
Which is smaller: 2/7 or 2014?
2/7
Which is greater: 22 or -0.9?
22
Does 3/7625 = 0?
False
Which is smaller: -0.1 or -44?
-44
Is 1 <= -5/847?
False
Which is smaller: 8 or 0.21?
0.21
Which is bigger: -163 or -165?
-163
Which is smaller: -7535 or -7533?
-7535
Which is greater: -1376 or 0.2?
0.2
Which is smaller: -1185 or -1177?
-1185
Which is greater: -24/707 or -1?
-24/707
Is -447 at most as big as 3?
True
Which is bigger: -19 or -20?
-19
Which is smaller: -951 or -952?
-952
Is 25160 greater than 25160?
False
Which is smaller: 2/515 or 1?
2/515
Is -865 equal to 1?
False
Which is greater: -1 or -1/497?
-1/497
Are -3/6598 and 1 unequal?
True
Is -160 at most -161?
False
Is 750 != 749?
True
Which is greater: -87 or -263/3?
-87
Is -0.414 less than or equal to 32?
True
Which is smaller: -29 or 1?
-29
Do -387 and -7 have different values?
True
Which is greater: 2 or 124/51?
124/51
Is -1.05 >= 2/125?
False
Is 1 at least as big as 20.7?
False
Is -317 >= -313?
False
Which is smaller: -5 or -49/6?
-49/6
Which is bigger: 0 or -3/2558?
0
Which is bigger: 4/7 or -1028?
4/7
Is 3/65 smaller than -1?
False
Which is smaller: -144 or -10?
-144
Is -0.063 at least as big as -1/399?
False
Is 2/23 < -3/8?
False
Which is greater: -22 or 7?
7
Is 128 less than -1?
False
Which is smaller: 436 or 438?
436
Is -67 smaller than -60?
True
Is -11 bigger than 19?
False
Is -1 at most 8/493?
True
Which is bigger: -10 or -9?
-9
Which is bigger: -21528 or -21527?
-21527
Which is bigger: 51 or 1?
51
Is -25/297 at most as big as -1?
False
Which is bigger: 7 or -1096?
7
Do -1 and 2/525 have different values?
True
Which is bigger: -4 or -118/25?
-4
Which is greater: 0 or 44/2171?
44/2171
Are -3334 and -3332 non-equal?
True
Which is bigger: -0.08 or 0.069?
0.069
Is 11 less than 138/13?
False
Does 686 = 677?
False
Do -4043 and -4043 have the same value?
True
Is -1648 less than -1639?
True
Which is smaller: -5198 or 2?
-5198
Is -82/11 less than -7?
True
Do -33 and -22 have different values?
True
Which is greater: 258/13 or 2/7?
258/13
Is 1/2 != -5721?
True
Is -2/335 equal to 20?
False
Is 0 >= 3/21208?
False
Which is smaller: 571 or 6?
6
Which is smaller: -22 or 160?
-22
Does 35.5 = 0.09?
False
Which is smaller: 1 or 8/5549?
8/5549
Is 4840 smaller than 53232/11?
False
Which is greater: -57 or -200?
-57
Is 707 not equal to 708?
True
Which is smaller: -0.001 or -3/5?
-3/5
Are -30722 and 0 non-equal?
True
Is -2/25 bigger than 2/263?
False
Is -700 not equal to -701?
True
Which is smaller: -9811 or -9812?
-9812
Is 21 > 17?
True
Which is smaller: 0 or -33/28?
-33/28
Is -6/16783 smaller than 1?
True
Which is greater: -32 or -0.04?
-0.04
Which is bigger: -7 or -2?
-2
Is 2450/11 >= 224?
False
Which is bigger: 0 or 39/1151?
39/1151
Which is smaller: 10 or 23?
10
Is 10125 > 10126?
False
Is 126 greater than 142?
False
Which is smaller: 1265/3 or 422?
1265/3
Is 1058 equal to 1060?
False
Is 214 at least 1/4?
True
Is 0 > 3/6331?
False
Which is smaller: 0 or -556?
-556
Is 0 equal to 1/2?
False
Is -4 smaller than 6/97?
True
Which is greater: 30 or -11?
30
Is -21/43 <= -1?
False
Are 10143 and -1/2 equal?
False
Which is bigger: 0 or -1/514?
0
Is 320.7 < -0.1?
False
Is -170 less than or equal to -170?
True
Is -3/35312 greater than -1?
True
Is -488 smaller than -20?
True
Which is smaller: 1 or 28/53?
28/53
Is 29 > -1?
True
Is 1 < 1/946?
False
Is -54 equal to 2/11?
False
Which is smaller: -43008 or -43009?
-43009
Which is bigger: -172 or -170?
-170
Which is bigger: 25263/5 or 5054?
5054
Which is smaller: 284/7 or 42?
284/7
Which is smaller: 7/4 or -1.8?
-1.8
Which is smaller: 622 or 651?
622
Which is greater: -4/3 or -0.33?
-0.33
Which is bigger: -0.177 or -0.06?
-0.06
Do -215/4 and -54 have the same value?
False
Which is smaller: 14/71 or 8?
14/71
Is 9 < 39?
True
Is -12/127 at least as big as 0?
False
Is 627 bigger than 628?
False
Which is smaller: -1 or 3/1403?
-1
Which is bigger: -79 or -1169/15?
-1169/15
Is -45 < 3?
True
Which is smaller: -418 or -416?
-418
Which is greater: 1 or -7/85?
1
Which is bigger: -0.01 or -70/27?
-0.01
Is -17 at most as big as -17?
True
Is 0.2 at most as big as -3979?
False
Are -1 and 5/189 nonequal?
True
Are -90 and -11 non-equal?
True
Is 85 <= 1598/19?
False
Which is smaller: -36 or -145/4?
-145/4
Is 0.57 equal to 13?
False
Is 0 at least 3/386?
False
Do -1/230 and 1 have different values?
True
Which is greater: -0.1 or 56/81?
56/81
Which is bigger: -26 or -699/26?
-26
Is 0.166 < -0.07?
False
Is 1 bigger than -2.689?
True
Are -198 and -198 nonequal?
False
Which is smaller: -1073 or 1?
-1073
Is 8/621 >= -1?
True
Is -1 greater than or equal to -16/497?
False
Which is greater: -744 or -743?
-743
Is -239 bigger than -3?
False
Is -179 != -178?
True
Is 2/7 equal to 1.118?
False
Is 138 at most as big as -1/3?
False
Does 32 = 0.0447?
False
Is -67 equal to -67?
True
Which is greater: -76 or -104?
-76
Is -382 at least as big as -382?
True
Which is greater: 0 or -202?
0
Is 1 greater than or equal to -88/603?
True
Is 5 at least as big as 112/31?
True
Are -1.84 and 4 unequal?
True
Is 107 < 15?
False
Which is smaller: 48 or 51?
48
Does 353/10 = 34?
False
Which is greater: 1261/3 or 420?
1261/3
Which is smaller: 25/32 or 1?
25/32
Is -42/17 equal to 0.18?
False
Which is smaller: -1/1021 or 1?
-1/1021
Which is bigger: 11/8 or
|
{
"pile_set_name": "DM Mathematics"
}
|
number?
False
Is 11288565493 a composite number?
False
Is 173296681 prime?
True
Is 14161060681 prime?
False
Is 557856281 prime?
True
Is 16133274389 composite?
True
Is 2653707413 a composite number?
True
Is 1043032423 composite?
False
Is 3705001721 prime?
True
Is 12984927821 composite?
False
Is 1292967839 composite?
True
Is 12148338441 a composite number?
True
Is 857711527 a prime number?
True
Is 93570483 a composite number?
True
Is 640375069 prime?
False
Is 4553554637 a composite number?
False
Is 7576635431 a composite number?
False
Is 18726277837 a prime number?
False
Is 1770940141 a composite number?
False
Is 869922139 prime?
True
Is 2033113213 a prime number?
True
Is 266782643 composite?
True
Is 28234727281 composite?
False
Is 43958017327 a prime number?
False
Is 3017242673 composite?
False
Is 3581242421 a prime number?
False
Is 2917348513 composite?
False
Is 12079572523 composite?
False
Is 1430477089 a prime number?
True
Is 975283429 a composite number?
True
Is 5465382667 a prime number?
False
Is 540922841 a composite number?
False
Is 1018538093 a composite number?
True
Is 88113054005 prime?
False
Is 3812198547 a prime number?
False
Is 22249685797 prime?
True
Is 128578254719 composite?
False
Is 255927827 a composite number?
True
Is 4558068418 composite?
True
Is 483959129 a prime number?
False
Is 30049208027 a composite number?
False
Is 107328427 a prime number?
True
Is 513244007 a prime number?
True
Is 4792824103 a prime number?
True
Is 526676327 prime?
True
Is 33989867 composite?
True
Is 86916739567 composite?
True
Is 3603351319 a composite number?
False
Is 4514679553 a prime number?
False
Is 608143573 prime?
False
Is 7269569017 composite?
False
Is 188069071 composite?
True
Is 26495320711 prime?
True
Is 37817658953 a composite number?
False
Is 10606417417 prime?
True
Is 2386366397 composite?
False
Is 5437364213 a prime number?
False
Is 2261025938 prime?
False
Is 6116401799 composite?
True
Is 67342559663 prime?
False
Is 144837469 a composite number?
True
Is 277706281 a prime number?
True
Is 116733596201 a prime number?
True
Is 272233331 prime?
True
Is 13129143961 a prime number?
True
Is 624139877 a prime number?
False
Is 27540001037 composite?
True
Is 59107949 composite?
False
Is 565473731 prime?
False
Is 390580283 prime?
False
Is 179461487 a prime number?
True
Is 8331702853 a prime number?
True
Is 438628529 a prime number?
True
Is 194624357 composite?
False
Is 43582461499 composite?
True
Is 3042085727 a prime number?
True
Is 862986731 composite?
False
Is 8624834935 prime?
False
Is 303965537 prime?
True
Is 747468889 a prime number?
False
Is 184578665963 a prime number?
True
Is 36001326973 a prime number?
False
Is 7634745637 a prime number?
False
Is 42009073423 composite?
False
Is 219541793 composite?
True
Is 698143193 a composite number?
True
Is 8531390611 a prime number?
False
Is 1490529847 a composite number?
True
Is 31249694849 a composite number?
False
Is 8125881081 prime?
False
Is 2737007311 prime?
False
Is 1688502337 a composite number?
True
Is 1718510709 prime?
False
Is 45686710019 composite?
True
Is 70778007541 prime?
True
Is 17143968703 a prime number?
True
Is 2162286449 composite?
False
Is 1109069683 a composite number?
True
Is 132744191 composite?
True
Is 1073423539 a composite number?
True
Is 67768099621 a composite number?
True
Is 504684529 composite?
False
Is 1130008427 a prime number?
False
Is 547481861 a prime number?
False
Is 1135015817 a prime number?
False
Is 19975075843 prime?
True
Is 4533630419 a composite number?
True
Is 2493880979 a composite number?
True
Is 1624040993 a composite number?
True
Is 12035088223 prime?
True
Is 7146035173 prime?
False
Is 27593768747 composite?
False
Is 2575260683 composite?
True
Is 6552514987 a composite number?
False
Is 1966383281 prime?
False
Is 474257837 a composite number?
True
Is 2468090563 a prime number?
False
Is 132728730931 a prime number?
True
Is 713807389 a prime number?
False
Is 11555374903 prime?
False
Is 108840994211 composite?
False
Is 46693289839 a composite number?
True
Is 25971377 prime?
True
Is 9448801313 prime?
False
Is 35046634829 composite?
True
Is 2215504583 a composite number?
True
Is 4508660357 a prime number?
True
Is 240992197 a prime number?
False
Is 487433669 a prime number?
True
Is 4379830681 a prime number?
False
Is 6593657981 a prime number?
False
Is 55875830293 composite?
False
Is 3606142483 a prime number?
False
Is 10386944489 composite?
True
Is 10147681787 a composite number?
False
Is 1564785751 a prime number?
True
Is 1293729623 a prime number?
False
Is 3263875247 a composite number?
True
Is 2203312609 prime?
False
Is 10597878413 prime?
True
Is 41265817991 a composite number?
True
Is 1632857261 a prime number?
False
Is 3006553699 a composite number?
True
Is 60116715733 composite?
False
Is 243225923 prime?
True
Is 1981424857 composite?
True
Is 37331291 prime?
True
Is 6615761329 a composite number?
True
Is 11184550309 a composite number?
False
Is 188126111 a composite number?
False
Is 4383605509 prime?
False
Is 38638801463 a composite number?
False
Is 6652463 prime?
False
Is 570551383 composite?
True
Is 66059866111 a composite number?
False
Is 5111041813 composite?
False
Is 9878028701 prime?
True
Is 1407498451 a composite number?
False
Is 4786161341 composite?
True
Is 6142579273 a composite number?
False
Is 1322423983 a composite number?
True
Is 512697329 composite?
False
Is 619078381 a composite number?
True
Is 10529844119 a composite number?
True
Is 6769600777 a composite number?
True
Is 16523425199 a composite number?
True
Is 154673543 a prime number?
True
Is 159583601743 a composite number?
False
Is 146485769 composite?
False
Is 6056174857 a composite number?
False
Is 82624449767 composite?
True
Is 161290741723 prime?
False
Is 111547477 prime?
True
Is 83779381 a composite number?
True
Is 54990948343 composite?
False
Is 5819754379 prime?
True
Is 264321997 a composite number?
False
Is 8020913 prime?
True
Is 13957469891 composite?
True
Is 24067629217 composite?
False
Is 8220483653 a prime number?
False
Is 16272733949 composite?
False
Is 563971 a composite number?
False
Is 10722485677 prime?
False
Is 156555121 a prime number?
False
Is 2364788809 prime?
True
Is 4617789299 prime?
True
Is 2986188809 a composite number?
True
Is 1672865419 composite?
False
Is 28309016965 prime?
False
Is 1419318683 a composite number?
False
Is 47874215033 a prime number?
False
Is 72104726306 a composite number?
True
Is 13301549861 composite?
False
Is 3004198367 prime?
False
Is 10377087811 composite?
False
Is 4357090831 composite?
False
Is 9091994887 a prime number?
True
Is 2567738773 composite?
True
Is 225263817827 composite?
True
Is 31900526071 a composite number?
False
Is 33656028163 composite?
False
Is 28091428481 composite?
True
Is 91219781153 prime?
True
Is 63921537217 a composite number?
False
Is 15711471737 prime?
False
Is 9132610141 a composite number?
False
Is 144653195359 a prime number?
False
Is 1497996277 prime?
True
Is 62541588491 a composite number?
True
Is 190407851 a prime number?
True
Is 7556531231 composite?
False
Is 31800270331 prime?
True
Is 6834344399 a prime number?
False
Is 20223205 composite?
True
Is 38728401247 a prime number?
True
Is 9459563921 a prime number?
True
Is 5782381901 composite?
True
Is 64468870643 composite?
False
Is 14850621529 prime?
False
Is 1697750399 a prime number?
True
Is 47565199 a prime number?
False
Is 1323029843 a composite number?
True
Is 20472340613 a composite number?
False
Is 61045213213 a composite number?
False
Is 6179389751 a composite number?
True
Is 1313517487 a composite number?
False
Is 1459800973 a prime number?
True
Is 1113516239 composite?
True
Is 5670049873 a composite number?
True
Is 3065725559 a composite number?
True
Is 17189807717 composite?
False
Is 16229723599 prime?
False
Is 152682353 composite?
True
Is 344142133 composite?
False
Is 2758291027 prime?
True
Is 30280243451 a prime number?
False
Is 1540646179 a composite number?
True
Is 64254008387 a prime number?
True
Is 6949558519 composite?
False
Is 2552103637 a prime number?
True
Is 4022263447 prime?
True
Is 3354054367 composite?
False
Is 23017443905 a prime number?
False
Is 13355524531 a composite number?
False
Is 3374585191 prime?
True
Is 197462669 com
|
{
"pile_set_name": "DM Mathematics"
}
|
28*v - 89*v to m*v + o and give m.
-61
Rearrange 0*k**4 + 32 + 3*k**4 - k - 30 to the form w + n*k**4 + h*k**2 + d*k**3 + y*k and give w.
2
Rearrange -2*z**2 + 3*z**2 + z**2 + (-3*z - 3*z**2 + 3*z)*(-2 + 0 + 0) - z**2 - 2*z**2 + 2*z**2 to b + c*z + m*z**2 and give m.
7
Rearrange -3*r - r - 3*r - 2*r to the form l*r + z and give z.
0
Rearrange (2*z**3 - 4*z**3 + 4*z**3)*(2 - 1 + 13)*(-2 + 4 - 5) to the form d*z + s*z**2 + b + c*z**3 and give c.
-84
Express 66*h - 64*h + 35 - 7 as l*h + j and give j.
28
Express 3*n**4 - 9*n**2 - n - 6*n**2 - 1 + 14*n**2 - 4*n**3 + 3*n**3 in the form z*n**2 + t + v*n**3 + y*n + w*n**4 and give w.
3
Express -8*p - 208*p**2 + 209*p**2 + 1 - 1 as g*p + d*p**2 + q and give g.
-8
Express (116 - 116 - 11*o + 3 - 2*o - 3 + (-3 + 5 - 1)*(-o + 3*o - 3*o))*(0*o - 2*o + 0*o) in the form j*o + t + n*o**2 and give n.
28
Express -h**4 - 3 - 5 + 8 - 5*h**2 - 2*h as i*h + w*h**4 + j*h**2 + x*h**3 + g and give i.
-2
Rearrange 3*v**3 + 73*v - 72*v + v**2 - 8*v**3 to n*v**3 + z*v**2 + c + y*v and give n.
-5
Rearrange (-w - 4 - 2*w + 2*w)*(-6 - 1 - 3) to s*w + q and give q.
40
Express -27*k**3 + 2*k**2 - 28*k**3 - 24*k**3 + 78*k**3 - 3 + 2*k - 5*k**4 as s*k**2 + j + w*k**4 + o*k**3 + p*k and give w.
-5
Rearrange -3*k**2 - 50*k + 3*k**3 + 50*k + 4*k**2 to the form u*k**3 + c + n*k + p*k**2 and give p.
1
Express c**3 - c + 2 + 22*c**4 + 28*c**4 - 45*c**4 as f*c**3 + b*c**4 + o*c**2 + s*c + q and give s.
-1
Rearrange (3*s - 2*s - 3*s)*(2*s - 2 + 3 + 0) to f + v*s + m*s**2 and give m.
-4
Express 4*g + 41 - 5*g - 7*g - 43 as t + h*g and give h.
-8
Express (5*o - 4*o - 3*o)*(-3*o + o + 4*o) - 13 + o**2 + 2 + 2*o - o in the form z + r*o + c*o**2 and give z.
-11
Express (-3 + 3 + 4*m)*(5*m - 3*m - m)*(m + m - 4*m) as u*m**2 + f*m + j + s*m**3 and give s.
-8
Express -3*b - 2*b + 8*b - 7*b as y*b + n and give y.
-4
Rearrange 8*f**4 - 10*f**4 - 10*f**4 + (-f**3 + f**3 + 3*f**3)*(4 - f - 4) to the form p + o*f**4 + a*f**3 + l*f + z*f**2 and give o.
-15
Express (0*n - 2*n + 0*n)*(4 + 2 - 1)*(5 + 1 - 4) in the form q + c*n and give c.
-20
Express -29 - 32 - 27 + 17*o + 86 in the form b + z*o and give b.
-2
Express -i**3 + 1 - 6*i**2 + 3*i**2 + 5*i**2 - 2*i + 0*i**2 as a*i**2 + w + l*i + s*i**3 and give l.
-2
Rearrange -3*d - 209 + 209 to the form h + f*d and give f.
-3
Express -42*k**2 + 144*k**2 - 21*k**2 as p*k + b*k**2 + z and give b.
81
Rearrange 28*v**2 + 14295*v**3 + 2*v**4 - v - 14295*v**3 to z + n*v**2 + j*v**4 + g*v**3 + m*v and give n.
28
Rearrange -19*u**3 + 24*u**4 + u - 23*u**4 + 6*u**3 to z*u**2 + v*u + w*u**4 + c + x*u**3 and give v.
1
Express 15*p**3 - 5*p**3 + p - 9*p**3 + 1 in the form t*p**3 + j*p**2 + m*p + o and give t.
1
Rearrange 5 + 6*h**2 - 9 - 2 - 4*h**2 to the form a*h**2 + s + l*h and give s.
-6
Rearrange 13 - 4 + 47*n - 9 to x + a*n and give a.
47
Rearrange -84*x**4 - 91*x**4 + 196*x**4 + (2*x**2 + x**2 - x**2)*(2*x**2 + 2 - 2) to the form y*x**2 + a*x**4 + j*x + f + w*x**3 and give a.
25
Rearrange 0*j**2 - 3*j**2 + 18*j**2 + j**2 to the form q*j + t + f*j**2 and give f.
16
Express (z + 8*z - 3*z)*(3 - 6*z**2 - 3) as i*z**2 + w*z**3 + l*z + x and give x.
0
Express ((6*m - 1 + 1)*(4 - 2 + 0) + 3*m - 2*m - 2*m)*(-3*m + 3*m + 3*m) in the form r*m + j*m**2 + f and give r.
0
Express -15*j + 35*j**3 - j**4 + 26*j - j**3 - 13*j in the form p*j + f*j**2 + c*j**3 + s*j**4 + d and give s.
-1
Express -6*a**2 - a**3 + 6*a**3 - 2*a**3 + a - 4*a**3 - 4*a**4 as h*a + g*a**4 + p*a**3 + y*a**2 + j and give y.
-6
Express -5*u - u**3 + 46*u**2 + 1 - 46*u**2 as j*u + a*u**3 + q + l*u**2 and give q.
1
Rearrange 18*q**2 + 4*q**3 - 2*q**4 - 4*q**2 - 7*q**3 - 11*q**2 to the form b*q**3 + j*q + w + i*q**2 + h*q**4 and give b.
-3
Express -3*j - 120*j**2 - 4*j**4 + 3*j + 2*j**3 - 1 + 118*j**2 in the form y*j**4 + f*j**2 + z + d*j**3 + i*j and give z.
-1
Express (2*q**3 + 3*q**3 - 6*q**3)*(5*q - 23*q - 8*q) + 4*q - 5*q**4 - 4*q as s*q**4 + j*q**3 + n*q**2 + r + v*q and give v.
0
Rearrange (2*k + 0*k + 0*k)*(-k + 0*k + 0*k) - 6*k**2 - 72*k + 72*k to the form p + z*k + h*k**2 and give z.
0
Rearrange (1 + h**2 - 1)*(-5*h**2 - 2 + 9*h**2 - 6*h**2) to the form o*h**3 + c*h**4 + u + n*h + y*h**2 and give o.
0
Express 15*u + 68*u + 32*u as a + c*u and give c.
115
Express -3*y + 23*y - 8*y + 2 + 13*y in the form t*y + j and give t.
25
Express 0*q**3 + 3*q**3 + 3 - 2*q**3 + 0*q**3 in the form n + b*q**2 + s*q + u*q**3 and give n.
3
Rearrange 68*r + 0 - 81*r + 0 to g*r + y and give g.
-13
Express -3*z**3 - 2*z**3 - 11*z + 7*z**3 + 2 in the form q*z**2 + l + s*z + k*z**3 and give s.
-11
Rearrange (2 + 1 - 2)*(-2*x + 2*x + 2*x) + 2*x - 4*x + 3*x + 2*x + 0*x - x + 171 - 31*x - 171 to the form w*x + h and give w.
-27
Rearrange 4*n**3 - 1 + 2 + n**3 to the form c*n + r + a*n**2 + j*n**3 and give j.
5
Express -71 + 37 + 34 - 16*c as p + x*c and give x.
-16
Rearrange (2*u + u + 2*u - 2)*(2 - 2 + 2*u) to g + o*u + j*u**2 and give j.
10
Rearrange -f**4 + f**3 + 7*f + f**3 - 6*f + 8*f**2 to the form i*f + h*f**3 + k + n*f**2 + j*f**4 and give i.
1
Rearrange 0*u**2 + 3*u**3 + 0*u**2 - 4*u**2 + 2*u**2 to m*u**3 + s*u + r*u**2 + z and give r.
-2
Rearrange 2*b - 13*b**2 - b + 0*b**2 to v*b + u*b**2 + f and give u.
-13
Express -12 + 2*h**3 + 0*h**2 - h**2 + h**2 + 2*h**2 in the form m + x*h**3 + w*h + k*h**2 and give k.
2
Rearrange h - 16*h**2 + 18*h**2 + 13 + h to v + b*h + c*h**2 and give b.
2
Rearrange 17*y + 44*y - 6*y - y to r*y + h and give h.
0
Rearrange (3*p**2 - 4*p**2 + 0*p**2)*(4*p - p - 4*p) + 2*p**3 + 7*p**3 - 3*p**3 + (-4 - p + 5 + 2)*(p - p - 2*p**2) to z*p**3 + u + v*p + w*p**2 and give z.
9
Express 38*m + 4*m + 3*m in the form n*m + j and give n.
45
Rearrange -108*s + 316*s + 3*s**3 - 103*s - 5 - 107*s + s**2 to w*s**2 + g*s**3 + k*s + f and give k.
-2
Rearrange -4*f**3 - 19*f + 3*f**3 + 2*f**3 + 2 - 2*f**3 to y*f**3 + b*f**2 + t + p*f and give t.
2
Rearrange 5*q**3 - 5 - q**2 + 5 to s*q**3 + b*q**2 + v*q + x and give v.
0
Express (-2 - 1 + 2)*(4 - 115*v - 5 + 116*v) in the form f*v + m and give m.
1
Rearrange 2*k**4 - k**4 + 4*k**4 + (0*k - k + 2*k)*(-2 + 2 - k**3) + 0*k**4 + 3*k**4 + 0*k**4 to the form c*k**2 + u*k + p + r*k**4 + y*k**3 and give r.
7
Rearrange w + 0*w**2 + 5 - 12*w**2 + 7*w**2 - 1 to s + t*w**2 + l*w and give l.
1
Express d - d + 10 + 0*d + 6*d**2 in the form n*d + u*d**2 + b and give b.
10
Rearrange (-4 + 2 + 5)*(-244 + 244 + 21*m) to the form o + f*m and give f.
63
Express -l**3 + 1 + 4*l**3 + 2*l**2 - 2*l**3 - 3*l**3 as n*l**3 + f + m*l + k*l**2 and give f.
1
Rearrange (-x + 5*x - 6*x)*(-3*x + 0*x + x) + 0*x**2 - 5*x**2 + 2*x**2 to the form o + a*x + y*x**2 and give y.
1
Express f**4 - 4*f - 14*f + f**3 + 19*f as b*f**3 + w + h*f**2 + c*f**4 + m*f and give b.
1
Express -64*z + 9*z**2 - 2 + 64*z + z**4 as i*z + t + x*z**3 + k*z**4 + o*z**2 and give o.
9
Rearrange 15*b + 3*b + 6*b to w*b + j and give w.
24
Rearrange (-2*n**2 - 8*n**2 + n**2 + (-2 - 1 + 1)*(2*n**2 + 2*n**2 - 2*n**2))*(-4 - 2*n + 4) to d*n + m*n**2 + w*n**3 + f and give w.
26
Rearrange (-39 - 8 - 3)*(3 + 4*r - 3) to o + g*r and give g.
-200
Express (-3*i**2 + i**2 + i**2)*(2 - 8 + 40) in the form r + v*i**2 + t*i and give v.
-34
Express q + 7*q**2 + 1 - 7*q**2 - 4*q**2 as r + d*q + k*q**2 and give r.
1
Rearrange 8 - 8*q**3 + 7*q**3 + 5*q**3 to the form l*q**3 + u*q + g*q**2 + w and give l.
4
Rearrange 91 - 51 + 3*z - 46 to c*z + a and give c.
3
Express (-4*d + 7 - 7 + (-2 + 4 - 3)*(0*d + 8*d - 3*d))*(1 - 1 + 1 + (2 - 5 + 2)*(-5 + 1 + 3)) as k + n*d and give n.
-18
Express (0*j + 3 + 6*j - 4*j)*(2 + 4 - 2) as w + x*j and give w.
12
Rearrange 45*z**2 - 19*z**2 - 12*z**2 to the form a*z**2 + g + k*z and give k.
0
Express (-22 + 11 + 14)*(-1 + 3 - 1)*(4*c**3 + 21*c - 21*c + (0 + 1 + 0)*(0*c**3 + c**3 + c**3)) as m*c**3 + z*c + f + l*c**2 and give f.
0
Express (-7 + 9 + 8)*(16*b + 5*b + 6*b - 4*b) in the form f*b + t and give f.
230
Rearrange 30 + 3*k**2 - 7*k**2 + 2*k - k - 32 to y*k + l*k**2 + r and give y.
1
Rearrange -2563*a**2 + 2562*a**2 + 0*a**3 - a + 11*a**3 to b + p*a**3 + f*a**2 + l*a and give p.
11
Express -2*l + 3*l - 2*l + 6*l**2 as b + a*l**2 + s*l and give a.
6
Rearrange -34*n - 30*n + 68*n + 5 to the form a + t*n and give t.
4
Express 0*p**3 - 2*p**4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
, given that t*x**2 + x - x + 4*x**3 + 2*x**4 = 0.
-1, 0
Let n(l) = l**2 - 8*l + 2. Let j be n(9). Let o = j + -9. Find w such that 0*w + 0 - 1/2*w**o = 0.
0
Factor 10*m**2 + 379 - 369 + 2*m + 23*m.
5*(m + 2)*(2*m + 1)
Suppose -4*z + 2 = -3*z. Let s(o) = o + 16. Let u be s(-10). Let -4*q + 2 - 10*q**z - 2 - u*q**3 = 0. What is q?
-1, -2/3, 0
Let o(b) be the third derivative of -b**5/270 + b**4/54 + b**3/9 - 3*b**2. Suppose o(j) = 0. What is j?
-1, 3
Let r be (-10)/8*2*12/(-15). Let o(q) be the second derivative of 0*q**2 + 1/15*q**3 + 0 - 1/30*q**4 + r*q. Factor o(j).
-2*j*(j - 1)/5
Let x be 8/(-12)*(-30)/4. Let a = -2 + x. Factor -4 + 4 + u**2 + 2*u**a + u**4.
u**2*(u + 1)**2
Let s(w) be the second derivative of w**8/3360 + w**7/1260 - w**6/72 + w**5/20 - 7*w**4/12 - w. Let j(y) be the third derivative of s(y). Factor j(n).
2*(n - 1)**2*(n + 3)
Let u(d) be the third derivative of d**6/40 + 7*d**5/20 + 15*d**4/8 + 9*d**3/2 + 14*d**2. Find c such that u(c) = 0.
-3, -1
Let g(h) be the first derivative of -h**6/60 + h**5/20 - h**3/6 + h**2/4 + 2*h + 3. Let l(o) be the first derivative of g(o). Factor l(k).
-(k - 1)**3*(k + 1)/2
Let q(m) be the second derivative of m**6/135 + 2*m**5/45 + m**4/27 - 4*m**3/27 - m**2/3 + m. Determine n, given that q(n) = 0.
-3, -1, 1
Let j(g) be the second derivative of 0 - 3*g + 1/12*g**4 + 2*g**2 + 2/3*g**3. Factor j(i).
(i + 2)**2
Let r(i) be the second derivative of 2*i**7/21 - 2*i**6/15 - i**5/5 + i**4/3 + 10*i. Factor r(m).
4*m**2*(m - 1)**2*(m + 1)
Suppose -g + 4 - 3 = 0, -4*m + 34 = -2*g. Let w = m + -4. Factor -3*d**3 - 6*d**4 + 0*d**3 + 3*d**w + 6*d**3.
3*d**3*(d - 1)**2
Suppose -8 + 23 = -4*i - u, -2*u = 6. Let s be (i/12)/((-6)/32). Factor s*l**3 + 1/3 + 4/3*l + 2*l**2 + 1/3*l**4.
(l + 1)**4/3
Let n(d) be the second derivative of -1/10*d**5 + 0 + 1/6*d**4 - 1/30*d**6 - 1/2*d**2 + 1/6*d**3 + 1/42*d**7 + d. Suppose n(q) = 0. Calculate q.
-1, 1
Let 3/8*g**2 + 0 + 3/2*g**4 - 15/8*g**3 + 0*g = 0. Calculate g.
0, 1/4, 1
Let j = 19/6 + -17/6. Factor 1/3 + j*c**3 - 1/3*c**2 - 1/3*c.
(c - 1)**2*(c + 1)/3
Suppose 4*y + y + y**2 - 5*y - 3 - 2*y = 0. Calculate y.
-1, 3
Let g = 138 - 135. Let -3/7 + 3/7*p + 3/7*p**2 - 3/7*p**g = 0. Calculate p.
-1, 1
Let b be (5/7 + -1)/((-24)/42). Let a(v) be the second derivative of b*v**2 - 3*v + 0 - 1/6*v**4 + 0*v**3 + 0*v**5 + 1/30*v**6. Factor a(g).
(g - 1)**2*(g + 1)**2
Let n be 2/12 + (-11)/66. Suppose -1/2*o**4 - 1/4*o**2 + 0*o + 3/4*o**3 + n = 0. Calculate o.
0, 1/2, 1
Suppose 5*p - 5 = 0, -3*i - 5*p - 11 = 2. Let l = i - -8. Factor 3*g**2 - g**2 + 0*g**l.
2*g**2
Let w be (-14)/7 + (-36)/(-10). Let s be (-44)/110 - -2*1. Factor -2/5*l**2 - w + s*l.
-2*(l - 2)**2/5
Let f(j) be the first derivative of 6*j**5/5 + 3*j**4/4 - 5*j**3 + 3*j**2 - 2. Let f(w) = 0. What is w?
-2, 0, 1/2, 1
Let n be (7 - 3)/((-1)/(-1) - -1). Factor 1/4*k**n + 1/4 + 1/2*k.
(k + 1)**2/4
Let d(u) = 23*u + 25. Let j be d(-1). Factor 2/7*f - 2/7 - 2/7*f**3 + 2/7*f**j.
-2*(f - 1)**2*(f + 1)/7
Let h(v) be the third derivative of 1/2*v**3 - 1/20*v**5 + 3*v**2 - 1/40*v**6 + 1/8*v**4 + 0 + 0*v. Suppose h(c) = 0. What is c?
-1, 1
Factor -1/6*u**5 + 0 + 0*u**2 + 1/2*u**4 + 0*u - 1/3*u**3.
-u**3*(u - 2)*(u - 1)/6
Factor 1/4*t**2 - 1/4 + 1/4*t - 1/4*t**3.
-(t - 1)**2*(t + 1)/4
Suppose 3*q - 4 + 1 = 0, 0 = 4*h - 3*q - 97. Factor 25 - h + c**4 - c**2.
c**2*(c - 1)*(c + 1)
Let f(y) = -y**4 + y**3 + y**2. Let g(r) = 9*r**3 + 3*r**2 - 6*r - 3. Let a(k) = -3*f(k) + g(k). Suppose a(m) = 0. Calculate m.
-1, 1
Let n(j) be the first derivative of -j + 1/2*j**2 - 1/4*j**4 + 8 + 1/3*j**3. Let n(v) = 0. What is v?
-1, 1
Let u(x) be the first derivative of 2*x**6/3 + 4*x**5/5 - 62. Factor u(k).
4*k**4*(k + 1)
Let x(n) = -n**3 - 2*n**2 + 2*n + 4. Let c be (3 + 20/(-8))*-4. Let g be x(c). Factor -9/5*q**2 + g - 3/5*q**4 + 9/5*q**3 + 3/5*q.
-3*q*(q - 1)**3/5
Factor -19*a**2 + 7*a**3 + 20*a**2 - 8*a - 5*a**4 + 8*a**5 + 4 - 7*a**5.
(a - 2)**2*(a - 1)**2*(a + 1)
Let s(j) be the first derivative of j**6/48 - j**4/16 + j**2/16 + 9. Find t such that s(t) = 0.
-1, 0, 1
Let l = -7 + 9. Factor -8*n - 2 + n**3 + 2 + 9*n - 2*n**l.
n*(n - 1)**2
Suppose 4*r - 18 - 14 = 2*d, 0 = d + 4. Let o be r/15 + (-8)/(-5). Factor 1 + 1 - 5*z + o*z**2 + z.
2*(z - 1)**2
Let s(d) = -7*d**3 + 20*d + 2. Let w(o) = -15*o**3 + 40*o + 5. Let f(j) = -5*s(j) + 2*w(j). Factor f(v).
5*v*(v - 2)*(v + 2)
Suppose -6*a**3 + 5*a**3 - 2*a**3 + a**3 + 2*a = 0. Calculate a.
-1, 0, 1
Suppose 5*w + 5*j = w + 2, -w + 5 = -j. Let t = 0 + w. Factor -4 + t*k**3 - 3*k + 6 - 2.
3*k*(k - 1)*(k + 1)
Let n(u) be the first derivative of 5*u**4/4 + 5*u**3/3 - 5*u**2/2 - 5*u + 9. Let n(z) = 0. What is z?
-1, 1
Let r(s) = -s**4 + 8*s**3 - 30*s**2 + 28*s - 11. Let u(x) = x**3 + x**2 - x + 1. Let b(z) = r(z) + 3*u(z). Factor b(c).
-(c - 8)*(c - 1)**3
Suppose -27 = -4*h + 5*h. Let q be (-48)/h + (-4)/(-18). What is y in 2 + 3*y**q + y**2 - 6*y - 2*y**3 + 2*y**2 = 0?
1
Find n, given that 8*n**2 - 3*n**4 + 48*n - 6*n**4 + 6*n**3 - 54*n + 1 = 0.
-1, 1/3, 1
Let y be 0/(0 + (4 - 2)). Let b = 2 - y. Let 2*r + r - 2*r**b - r = 0. What is r?
0, 1
Let m(q) = -4*q**3 + 20*q**2 - 16*q + 4. Let r(k) = 4*k**3 - 19*k**2 + 15*k - 3. Let c(p) = -3*m(p) - 4*r(p). Factor c(w).
-4*w*(w - 3)*(w - 1)
Suppose 0 + 6/11*h + 6/11*h**5 - 24/11*h**4 - 24/11*h**2 + 36/11*h**3 = 0. What is h?
0, 1
Let y = 8 + 2. Let b be 10/(-2)*(-6)/y. Find c, given that 17*c**3 + 4*c**4 + b*c**4 - 5*c**4 - 4*c**2 - 15*c**3 = 0.
-2, 0, 1
Let y = -11/72 + 7/36. Let b(h) be the first derivative of 1/16*h**4 - 1/12*h**3 + 2 - y*h**6 + 0*h + 1/20*h**5 + 0*h**2. Factor b(q).
-q**2*(q - 1)**2*(q + 1)/4
Let -148*v**2 - 25*v**3 + 6 + 2 - 12*v + 37*v**3 + 140*v**4 = 0. What is v?
-1, -2/7, 1/5, 1
Let m(o) be the first derivative of -o**5/15 + o**4/12 + o**3/9 - o**2/6 - 8. Solve m(h) = 0 for h.
-1, 0, 1
Let 0*q + 0 + 4/3*q**2 = 0. What is q?
0
Suppose 4*m = 12, 3*d + m - 13 = -1. Solve -4*q**3 - 4*q**2 + 2*q**3 - 13*q**4 + 16*q**d + 3*q**4 = 0 for q.
0, 2/5, 1
Factor 4*v + 0*v**3 + 7*v**2 + 4 - v**3 - 8*v**2.
-(v - 2)*(v + 1)*(v + 2)
Let a(y) be the first derivative of 3*y**4/8 - y**3/2 - 15*y**2/4 - 9*y/2 + 6. Solve a(j) = 0 for j.
-1, 3
Let v(g) be the first derivative of -3 - 10/33*g**3 + 2/55*g**5 - 2/11*g**2 + 0*g + 1/33*g**6 - 3/22*g**4. Factor v(o).
2*o*(o - 2)*(o + 1)**3/11
Let o(s) be the third derivative of s**7/1260 + s**6/360 - s**4/72 - s**3/36 + 7*s**2. Factor o(g).
(g - 1)*(g + 1)**3/6
Let n(m) be the second derivative of -2*m**6/15 + 10*m. Find b such that n(b) = 0.
0
Suppose -4*h**3 - 22*h**5 + 8*h**4 + 24*h**5 + 10*h**3 = 0. Calculate h.
-3, -1, 0
Let f(x) be the third derivative of -x**9/3024 - x**8/560 - x**7/280 - x**6/360 - x**3/6 + x**2. Let g(k) be the first derivative of f(k). Factor g(h).
-h**2*(h + 1)**3
Let o = -20 - -20. Suppose 1/3*r**4 - 2/3*r**3 + 0*r + 1/3*r**2 + o = 0. Calculate r.
0, 1
Let a(w) be the first derivative of w**8/10080 - w**6/360 - w**5/90 - w**4/48 + 4*w**3/3 + 3. Let t(i) be the third derivative of a(i). Factor t(v).
(v - 3)*(v + 1)**3/6
Let r = -2 - -4. Factor -s**r - 2*s**3 - 2*s**2 + 0*s**2 + s**2 + 2*s**5 + 2*s**4.
2*s**2*(s - 1)*(s + 1)**2
Suppose 34*q - 36*q**3 + 2*q**5 + 12*q**4 - 2*q - 48*q**2 + 38*q**3 = 0. Calculate q.
-4, 0, 1
Suppose -2*u + 2*v = -14, -u - 4*v - 19 = -2*u. Suppose 2/7*o**2 - 2/7*o**4 - 2/7*o + 2/7*o**u + 0 = 0. What is o?
-1, 0, 1
Let q(l) be the second derivative of -l**4/16 - l**3/4 + 4*l. Factor q(x).
-3*x*(x + 2)/4
Let n(y) be the first derivative of 7/9*y**3 - 4/3*y + 2*y**2 - 5. Factor n(s).
(s + 2)*(7*s - 2)/3
Let x(u) be the second derivative of u**6/75 + u**5/10 + 3*u**4/10 + 7*u**3/15 + 2*u**2/5 - 4*u. Factor x(j).
2*(j + 1)**3*(j + 2)/5
Factor 2/5*o**3 + 2/5*o + 0 + 4/5*o**2.
2*o*(o + 1)**2/5
Let p(v) be the third derivative of -7*v**6/240 - v**5/24 + v**4/24 + 22*v**2. Let p(s) = 0. Calculate s.
-1, 0, 2/7
Factor -5 - 2*z**2 - 4*z**2 + 40*z - 75 + z**2.
-5*(z - 4)**2
Let z(w) be the first derivative of -w**7/420 - w**6/90 - w**5/60 - w**3 - 1. Let c(s) be the third derivative of z(s). Factor c(f).
-2*f*(f + 1)**2
Let u be (-1)/(-1) + (-21 - -21). Factor 3/2*p - 1/2*p**2 - u.
-(p - 2)*(p - 1)/2
Let t(h) = h**3 + 10*h**2 - h - 9. Let x be t(-10). Find v,
|
{
"pile_set_name": "DM Mathematics"
}
|
late 160 + -167 + (-12 + 9 - (0 - 2)).
-8
What is 32 + -2 + (-7 - -6) + -8?
21
What is 10 - 1 - (-5 + 10 - (8 + 4))?
16
What is 6 + (-10 - -20 - (1 + 23))?
-8
What is the value of (-1 - -1) + 308 + -291?
17
What is (2 - 6 - -5) + (3 - 9) - 4?
-9
Evaluate -8 - -1 - (-5 + 2) - (71 + -64).
-11
What is (-69 - -65) + 9 + 2 + -3?
4
What is 3 + 11 - 19 - 4?
-9
Evaluate -26 + (-12 - -30) + -11.
-19
What is -7 + (-3 - -2) + -1 + (0 - 8)?
-17
What is 30 + ((-20 - 12) + 11 - -10)?
19
Calculate -3 + 0 + (-5 - 4 - (-31 - -24)).
-5
-3 - 8 - ((-1 - -5) + 11 + -6)
-20
What is the value of -3 - (-6 + 12 + -4 - 1)?
-4
Evaluate 1 + (-2 - -30 - (-8 - -10 - 1)).
28
What is -4 - (-18 + 9) - 22?
-17
What is the value of -3 + 4 + -10 + 8 + 5?
4
What is (8 + 4 + -20 - -8) + 1 + -8?
-7
Evaluate -6 - (0 - (8 + 0)) - 5.
-3
(0 - 1) + (-9 - -24)
14
Calculate -7 - (4 - -4 - 2 - (-10 - -12)).
-11
Evaluate (8 - (6 - (8 - 13)) - -5) + -25.
-23
Evaluate 4 + 5 + 2 + -13 + (13 - 15).
-4
Calculate 34 + -31 + 5 + -5.
3
(-9 - (-3 - 15)) + -2
7
Calculate -2 + (-19 - -33) + -6 + 20.
26
Evaluate 9 - (2 + 0 - (106 + -100)).
13
Evaluate 11 - 3 - (39 + -28).
-3
14 + -4 + (-7 - -3) - (0 + -4)
10
What is the value of 0 - -3 - -5 - (-7 + (-4 - -5))?
14
6 + (-9 - -11) + -4 + 3 + -4
3
Calculate (1 - -6 - 1) + -3 + -2 + 7.
8
What is the value of 13 - ((-2 + 6 - 11) + 6)?
14
What is -26 - -54 - 43 - -21?
6
-25 - -25 - 24 - (-9 + (0 - -1))
-16
-8 - -5 - 2 - (-6 + 0)
1
11 + 6 + -1 - (4 - 10)
22
(4 + -5 - -4) + 1 + (3 - -11)
18
What is the value of -17 + 0 + 26 + 32 + -68 + 6?
-21
Calculate (-5 - -73 - 80) + -3 + -1.
-16
Evaluate (15 - 5) + -6 + -3 + -15.
-14
What is the value of 8 - (-9 + 5 + 9)?
3
What is the value of 21 + (-27 - -20 - 29)?
-15
Evaluate 7 - (16 + (-2 - 5) - (3 - -3)).
4
What is -4 + 1 + -41 + 52?
8
Evaluate (-21 - (-7 - 46)) + -18.
14
Evaluate (-2 - (13 + (2 - 18))) + (4 - 15).
-10
What is -93 + 89 - (0 + 7 + -2)?
-9
What is -14 - (8 - (-27 - -13 - -11))?
-25
-2 + 0 + (90 - 87 - (0 + 7))
-6
-3 + (7 - 4) + 4 - (121 + -94)
-23
What is -6 - -4 - (1 + (-1 - (-7 + 6)))?
-3
What is the value of -6 - (6 - (10 + 13))?
11
What is the value of (0 - -6) + 0 + (-9 - (0 + 2))?
-5
Evaluate -2 + (8 - 3) + 0 + -10 - 6.
-13
Calculate 14 - (-7 + 35) - (2 + 2 + -4).
-14
What is the value of 7 + 16 + (0 - 16 - -9) + -10?
6
What is the value of -10 - (-132 - -130 - (-1 + 14))?
5
What is 89 + -111 - (-1 - 17)?
-4
What is the value of -6 - -1 - (-2 - (-19 + 14))?
-8
Calculate 8 + -2 - (142 + -158).
22
What is (3 - (7 + 33)) + 6?
-31
What is the value of 9 + 7 + (-6 - (-5 - 2))?
17
(1 - 0 - 15) + (-195 - -202)
-7
Calculate (2 + (-2 - -5) - 10) + 5.
0
Evaluate 7 + (16 - (12 - 5)) + -19 - -22.
19
Calculate (14 - (-2 - 7 - -13)) + -34.
-24
What is the value of 18 + (-11 - 24) + 21?
4
27 + (-1 - (0 - (0 + (1 - 5))))
22
Calculate -16 + -1 - (32 + -55).
6
What is the value of (-1 - 23) + (893 - 858)?
11
-8 + (7 + -13 + -3 - -15)
-2
13 + (-2 - 22 - (-79 - -90))
-22
Evaluate 19 + 1 + -5 + (-3 - -2) + 1.
15
Calculate -19 + (5 - (3 - 20)).
3
What is the value of (0 - -16) + (-1 - (-12 - -8))?
19
What is the value of (-6 - (-3 + 3)) + 2?
-4
What is 9 + -7 + 6 - (2 - -4)?
2
Calculate (2 + 2 - (23 + -9)) + -21 + 1.
-30
Calculate 1 - 22 - (-16 - -5).
-10
Evaluate -13 - (-10 + 16 - 35).
16
What is the value of -22 - -17 - ((-3 - -1) + -8)?
5
Evaluate -1 + ((2 - 4) + 12 - (38 - 32)).
3
What is the value of (-9 + -3 - -19) + -2 + -16 + 1?
-10
What is (-37 - 23) + 21 - -24?
-15
9 + -16 + 16 + -1
8
10 - ((-12 - -18) + -2)
6
Evaluate -10 + 2 + 3 + (-82 - -95).
8
What is -4 + 15 + -31 + 17?
-3
(-8 - -1) + 615 + -574
34
Evaluate 9 - (-2 + 4 + 5 - (-58 + 44)).
-12
Calculate 6 + 12 + (-8 - (-2 - -1)).
11
(24 - 36) + 0 + 2 + (0 - -9)
-1
Evaluate -3 + (-6 - (19 - 12)) - (14 - 2).
-28
Evaluate (1 - 5) + -1 + (-3 - -11) + 5.
8
What is the value of (14 - 4 - (-11 + 19)) + -13 + -8?
-19
-8 + 3 - (-11 + 9 + -11 + 8)
0
Calculate 1 - (23 + 13 + -9 + -5 + 2).
-23
What is the value of -12 - -4 - (10 + (-31 - -1))?
12
What is 29 - (96 + -51) - (10 - -2)?
-28
(104 - 119) + 7 + 0
-8
What is the value of 28 - -1 - (-284 - -326)?
-13
What is the value of -142 + 147 + -2 + -27?
-24
Evaluate (-10 + 15 - -14) + -1.
18
-3 + -5 + (176 - 151)
17
(-4 + 0 - (-29 + 7) - 3) + -6
9
Calculate -14 + 0 - (-1 - 5).
-8
-32 + 42 + 2 + -1 + 3
14
Calculate -7 + (-4 - (-1 + -6 + -4)).
0
-2 + -1 + -32 + 14 + 13
-8
What is the value of 7 - 18 - -5 - -2?
-4
What is the value of 14 + -25 - -33 - 10?
12
Calculate (-7 - (-3 + -2)) + 2 + -2.
-2
Calculate -20 + 36 + (-3 - -6).
19
3 - (-12 + 6 + 12) - 0
-3
Evaluate 15 + -23 - 0 - (1 - 5).
-4
What is the value of (1 - 12 - 5) + 13?
-3
Evaluate 18 - (3 + 13 + -13).
15
8 + -33 - -22 - -8
5
-8 + -2 + 9 + 5
4
-8 + (-10 - (0 + -9))
-9
Calculate (-103 - -122) + (-8 - 27).
-16
Evaluate (6 - 6) + -5 + -8.
-13
5 + (20 + -1 - 10)
14
1 - (1 + (-2 - -2)) - 13
-13
What is 21 - (39 + -23) - -12?
17
What is (-12 - (6 + -16 + 2)) + 16?
12
Calculate -6 + (-16 - -30 - (8 + -1)) - -9.
10
What is (-185 - -194) + (2 - (14 - (1 - 1)))?
-3
Evaluate 1 + -4 + -47 + (14 - -44).
8
-26 - (-4 + 8 + 15 + -15 - -4)
-34
Calculate (2 - 3) + 0 + (6 + -4 - 0).
1
Calculate -35 + (-8 - -77 - 29).
5
What is the value of (7 - (10 - 4)) + 14?
15
4 - (2 + (6 - 6)) - -12
14
Calculate (3 - (3 - (-9 + 2))) + (-14 - -14).
-7
Evaluate 13 + 2 + 14 + -25.
4
What is -3 - (1 - (3 + 0) - (-20 - -23))?
2
What is -5 - ((24 - 13 - 19) + -1 + 15)?
-11
What is (-1 - -17) + -43 + -2 + 30?
1
Evaluate -4 + 8 + -11 + 11 - 1.
3
Evaluate (-8 - (-40 + 17) - 20) + -15 + 0.
-20
Evaluate 7 + -15 + (8 - (5 - -2)).
-7
Evaluate (-16 + 0 - -1) + 6.
-9
What is (-2 - -10) + (-2 + -8 + 11 - 6)?
3
(-11 - (-6 - (-4 + 4))) + 6 + 11
12
What is (3 + 8 - -1) + (51 - 85 - -27)?
5
What is the value of 12 + (7 - (5 + 6 + 0)) + -10?
-2
Evaluate (12 + -34 - -7) + 6.
-9
Evaluate (1 - (-7 + 3 + -3)) + -13.
-5
What is -157 + 148 + 2 + (2 + 3 - 1)?
-3
1 - (3 - -3) - -14
9
What is 0 + 10 + -6 + -9 + 20?
15
Calculate -23 + 2 + -181 + 184 + -8.
-26
What is -4 + -5 + (1 + 0 - -5) - 4?
-7
Evaluate (14 - (27 + -7)) + 2 + 22.
18
Evaluate (-48 - -16 - 17) + 7 - -16.
-26
What is 37 + -11 + (2 - 16)?
12
Calculate (-29 - 3) + -1020 + 1013.
-39
4 + -2 + -7 + 3 - (-54 - -62)
-10
Evaluate -3 - -1 - (-18 + 18) - (-3 + -10).
11
12 - (10 - 2) - (-13 - 16)
33
Evaluate 2 + -13 + -2 - (-14 + (-23 - -34)).
-10
41 - (10 + 12 + -15 + -1 + 1)
34
21 - (-13 - (-19 + -2))
13
Calculate 50 - 59 - (0 - -3 - 21).
9
What is (3 - (0 + -1)) + (-129 + 55 - -68)?
-2
Calculate 9 + -5 + -10 + 6.
0
28 + (13 - 18 - 12)
11
Evaluate 7 + 8 + -9 - (-6 + -5).
17
Calculate 228 + -215 + (2 - (-1 - 1) - -3).
20
Evaluate -12 + 14 + (26 - 11).
17
Evaluate 34 + -38 + (0 - (-6 - -3)).
-1
76 - (43 + -11) - 14
30
What is 10 + 6 + -10 - (6 + -6) - 12?
-6
What is 4 + (21 - 29) + (4 + 0 - -2)?
2
What is (-13 - -9) + (-11 - -5) - -29?
19
-14 + (11 - (17 - 5)) - -17
2
(-17 - (-21 + 1)) + -7
-4
Evaluate (12 - 4) + 7 + -6 + -10.
-1
What is -5 + 1 - (-9 + 3)?
2
What is 6 - (1 + 6) - (32 + -16 + 4)?
-21
What is 10 - (4 + -11 + 30 + -22)?
9
Calculate -1 + (-5 - 2 - (-15 + 10 - 1)).
-2
What is 0 + 7 + 0 + (0 - (-11 - -7))?
11
What is -6 + (26 - (-3 + (-10 - -3 - -16)))?
14
What is 47 + -41 + 5 + -26 + -5 + 2?
-18
4 + 11 + 77 + -84
8
What is 9 + -15 + 7 + 2 + -1 + -14?
-12
What is the value of -19 - (-5 - (-7 + 24))?
3
Calculate -20 - (8 - 7 - (14 - 11)).
-18
Evaluate 3 + -5 + 10 + (5 + -4 - -4).
13
Calculate -5 + 6 + -2 + (6 + -4 - 2).
-1
Evaluate (-8 - -1) + (14 - (15 + -4)) + -6.
-10
-34 + 32 - (2 + 15)
-19
What is the value of 1 - 20 - (-261 - -254)?
-12
Evaluate 13 - 1 - (9 - 9 - 5 - -6).
11
-4 - (7 - (-1 + 4) - 7 - 6)
5
Calculate (-320 + 307 - (-1 - 27)) + 3.
18
What is -8 - 2 - (-3 - (4 - -2) - -7)?
-8
What is the value of -19 + 0 + 26 + (-1 - 18)?
-12
-4 - -12 - (-7 + 13) - 3 - 9
-10
Evaluate 3 + 3 + -3 + (95 - 97).
1
Evaluate (8 - 3 - ((-22 - -44) + -10)) + -24.
-31
What is the value of 17 - (75 + -75 - (12 - (3 + -3)))?
29
Calculate -4 - (-3 + (0 - (-4 - 5)) - 19).
9
What is the value of 53 + -37 + -11 + 18 + 2?
25
What is -1 + 3 + (-3 - (-15 + 4)) + 4?
14
Calculate (-31 + -4 - 2) + (318 - 306).
-25
26 + -2 + 0 + 60 + -52 + -8
24
What is the value of 0 - (2
|
{
"pile_set_name": "DM Mathematics"
}
|
ond derivative of m**7/63 - 2*m**6/45 + m**4/9 - m**3/9 - 6*m. Find b such that o(b) = 0.
-1, 0, 1
Suppose -2*i - 4 = -10. Solve -2*d**2 - 3*d**3 + 2*d - i + d**3 + 5 = 0.
-1, 1
Let m(i) be the third derivative of 0 - 1/15*i**5 + 0*i + 2/105*i**7 - 1/20*i**6 + 0*i**3 + 3*i**2 + 0*i**4. Let m(l) = 0. Calculate l.
-1/2, 0, 2
Let t(z) be the second derivative of 0 + 0*z**3 + 0*z**4 - 8/105*z**6 + 5/147*z**7 - 2/35*z**5 - z + 0*z**2. Determine j, given that t(j) = 0.
-2/5, 0, 2
Let x(q) be the first derivative of 1/3*q**4 - 6 - 2/3*q - 1/3*q**2 + 4/9*q**3 - 1/9*q**6 - 2/15*q**5. Factor x(h).
-2*(h - 1)**2*(h + 1)**3/3
Suppose -3*u**3 + 6*u + 21*u - 129*u**2 + 111*u**2 + 6*u**3 = 0. What is u?
0, 3
Let h(r) be the first derivative of 7*r**4/22 + 32*r**3/33 + r**2 + 4*r/11 - 24. Factor h(f).
2*(f + 1)**2*(7*f + 2)/11
Suppose -3 = 3*m, -3*m = t - 0*m. Suppose -t*p + 15 = 2*p. Find y such that 42*y**2 - 8 - 10*y**4 + p*y**4 - 16*y - 7*y**4 - 6*y**3 + 2*y**3 = 0.
-2, -2/7, 1
Let j = 1/4 + 1/12. Let -2/3*i**3 + 2/3*i + 0*i**2 + j - 1/3*i**4 = 0. Calculate i.
-1, 1
Suppose -2*n + 0*n + 12 = 0. Let f be (0 + n)/(-2 + 4). Factor 1/4*q**f + 0 + 0*q + 0*q**2 - 1/4*q**4.
-q**3*(q - 1)/4
Suppose 0 - 2*j**4 - 2*j**2 + 3*j**3 + 1/2*j + 1/2*j**5 = 0. Calculate j.
0, 1
What is l in 1/2*l**4 + 15/2*l**2 - 7/2*l**3 + 0 - 9/2*l = 0?
0, 1, 3
Let n(p) = -p**3 + p**2 + p + 1. Let g(z) = 3*z**3 - 3*z**2 - 4*z - 2. Let o(b) = -g(b) - 2*n(b). Find k such that o(k) = 0.
-1, 0, 2
Let f = -136 + 139. Solve -64/3*d**5 + 13/3*d**2 - 20*d**f + 0 - 1/3*d + 112/3*d**4 = 0.
0, 1/4, 1
Let r(j) be the second derivative of j**8/1848 + j**7/1155 - j**6/330 - j**2 - 3*j. Let i(o) be the first derivative of r(o). Factor i(m).
2*m**3*(m - 1)*(m + 2)/11
Let r be 1/(((-2)/8)/(-1)). Factor 0*z**4 + 0*z**r + 2*z + z**3 - z**4 + z**2 - 3*z.
-z*(z - 1)**2*(z + 1)
Let w(c) be the third derivative of c**6/360 - c**5/90 - 23*c**2. Factor w(p).
p**2*(p - 2)/3
Let l(h) be the third derivative of h**11/36960 + h**10/25200 + h**9/60480 + h**5/30 + 2*h**2. Let s(a) be the third derivative of l(a). What is u in s(u) = 0?
-1/3, 0
Let x be -2*(-1)/2*3. Let s = 6 - 4. Factor -q**3 - s*q**2 - q**3 + 3*q**2 + q**x.
-q**2*(q - 1)
Suppose -3*l - x = -0*l - 10, -3*l + 5*x = -4. Suppose 7 + 18 = 5*j + 5*v, -5*j + 5*v = 5. Find y, given that 16/9*y**j - 4/9 + 2/9*y + 10/9*y**l = 0.
-1, 2/5
Let q(b) be the first derivative of b**6/2 - 3*b**5/5 - 7. Factor q(x).
3*x**4*(x - 1)
Let p = 9 - 9. Let c be (-1 - (-8)/6)/((-3)/(-18)). Find r such that p*r**c + 3/4*r**3 + 1/2*r**4 + 0 - 1/4*r = 0.
-1, 0, 1/2
Let y be 1/(-4) - (-4)/16. Suppose -3*m - m = -5*h + 45, 3*h + 4*m = -5. Factor 1/3*o**2 + 0 + o**3 + y*o + o**4 + 1/3*o**h.
o**2*(o + 1)**3/3
Find o such that -4*o**3 - 4*o**2 + 82*o + 0*o**2 - 74*o = 0.
-2, 0, 1
Let o(v) = v**3 + 5*v**2 - 6*v. Suppose -5*w + 1 = 31. Let m be o(w). What is g in -2/7*g**3 + 2/7*g**5 + 0 + 2/7*g**4 - 2/7*g**2 + m*g = 0?
-1, 0, 1
Suppose -w + 88 - 84 = 0. Factor 1/2*c**5 + c**2 + 0*c**3 - 1/2*c + 0 - c**w.
c*(c - 1)**3*(c + 1)/2
Let d(u) be the first derivative of 0*u + 36/25*u**5 - 39/20*u**4 - 3/10*u**2 + 3 - 2/5*u**6 + 6/5*u**3. Factor d(m).
-3*m*(m - 1)**2*(2*m - 1)**2/5
Let v(j) be the second derivative of 9/5*j**5 - 11/3*j**4 + 0 + 4/3*j**3 + 0*j**2 - 5*j. Factor v(g).
4*g*(g - 1)*(9*g - 2)
Let d = -45/2 + 317/14. Factor -10/7*q**2 - 5/7*q**4 + 10/7*q**3 + 5/7*q - d + 1/7*q**5.
(q - 1)**5/7
Let s(k) be the second derivative of -k**4/78 - k**3/39 + k + 47. Suppose s(u) = 0. Calculate u.
-1, 0
Suppose 3*l - 5*l = -16. Determine h, given that -17*h**4 + 15*h**3 + 3*h**5 + 5*h**4 + l - 8 - 6*h**2 = 0.
0, 1, 2
Let y(r) be the first derivative of -r**3 + 9*r**2/2 + 12*r + 16. Find i such that y(i) = 0.
-1, 4
Let c(j) be the first derivative of -j - 1/3*j**3 + j**2 + 8. Suppose c(h) = 0. What is h?
1
Let p = -8 - -11. Let -5*x**2 + 3*x**5 - 3*x**p + 3*x**4 + 2*x**2 + 0*x**3 + 0*x**2 = 0. What is x?
-1, 0, 1
Let a(g) be the second derivative of g**6/180 + g**5/20 + g**3/6 + 3*g. Let z(b) be the second derivative of a(b). Factor z(u).
2*u*(u + 3)
Find r such that -2/5*r + 2/5 - 2/5*r**2 + 2/5*r**3 = 0.
-1, 1
Suppose 4*w = -2*s + 10, -3*w - 3*s + 11 = 2*w. Let h = -1 - -4. Suppose -1/2*o**w - o + 1/2*o**2 - 3/2*o**5 + 0 + 5/2*o**h = 0. Calculate o.
-1, 0, 2/3, 1
Let a(c) be the first derivative of 0*c**2 + 0*c - 5 - 2/9*c**3. Factor a(k).
-2*k**2/3
Let p be (-1)/(((-5)/3)/(-5)) - -3. Factor 1/4*b + 1/4*b**2 + p.
b*(b + 1)/4
Suppose 0 = 2*z - 7*z + 35. Suppose -z*c + 5*c = 5*r - 16, 2*r = 5*c + 18. Let -n**5 + 3*n**3 + 7*n**r + 2*n**5 + 2*n**5 - n**4 = 0. What is n?
-1, 0
Let t = 2 + -2. Let w be 18/12 + 63/(-66). Let -2/11*x - 14/11*x**3 + t - 10/11*x**2 - w*x**4 = 0. Calculate x.
-1, -1/3, 0
Let j(g) be the third derivative of -1/6*g**5 - 9/112*g**8 - 1/24*g**4 - 3/10*g**6 + 0 - 9/35*g**7 + 0*g**3 + 0*g + 5*g**2. Factor j(f).
-f*(f + 1)*(3*f + 1)**3
Let u(c) be the second derivative of c**4/30 + 2*c**3/15 + 4*c. Factor u(a).
2*a*(a + 2)/5
Let z(d) be the first derivative of d**5/60 - d**4/36 - 3*d - 6. Let k(w) be the first derivative of z(w). Suppose k(b) = 0. What is b?
0, 1
Suppose -24 = -2*m - 5*c, -4*m - 3*c - 1 = -21. Let k = 1559/9 - 173. Factor -2/9*b + k*b**m + 0.
2*b*(b - 1)/9
Suppose a = -3*a + 2*r - 2, 2*r = -a + 2. What is j in -2*j**2 + j**2 + j + a*j**2 = 0?
0, 1
Let g(i) be the second derivative of i**8/3360 - i**7/1890 + i**4/6 + 3*i. Let o(y) be the third derivative of g(y). Solve o(t) = 0 for t.
0, 2/3
Let s(k) be the first derivative of -3*k**5/80 - k**4/12 - k**3/24 - k - 1. Let u(j) be the first derivative of s(j). Factor u(p).
-p*(p + 1)*(3*p + 1)/4
Let h(l) be the third derivative of -l**8/2184 + l**7/1365 + l**6/780 - l**5/390 + 37*l**2. Factor h(d).
-2*d**2*(d - 1)**2*(d + 1)/13
Let q(o) = -7*o**3 + o - 3. Suppose 7*n - 3*n = -12. Let j(z) = 48*z**3 - 8*z + 20. Let b(u) = n*j(u) - 20*q(u). Factor b(p).
-4*p*(p - 1)*(p + 1)
Factor -2 + 0*f**4 - 126*f + 2*f**4 + 4*f**3 + 122*f.
2*(f - 1)*(f + 1)**3
Let j = 1557/364 + -5/182. Factor j*h**2 - 1/2*h - 10*h**3 + 4*h**4 + 0.
h*(h - 2)*(4*h - 1)**2/4
Let x = -26 - -18. Let g(f) = -f**3 - f**2. Let p(r) = -6*r**3 - 10*r**2 - 2*r + 2. Let i(m) = x*g(m) + p(m). Find o, given that i(o) = 0.
-1, 1
Let h(k) = -k + 1. Let w(y) = 45*y**3 + 10*y**2 - 40*y - 15. Let n(a) = -5*h(a) - w(a). Factor n(l).
-5*(l - 1)*(l + 1)*(9*l + 2)
Let o = -3/455 - -19/65. Factor 2/7*f**2 + o*f**4 - 4/7*f**3 + 0 + 0*f.
2*f**2*(f - 1)**2/7
Let s(c) be the second derivative of c**7/840 - c**5/40 + c**4/3 - 7*c. Let w(r) be the third derivative of s(r). Factor w(d).
3*(d - 1)*(d + 1)
Suppose -3 = 6*t - 3*t. Let z(j) = j**2. Let o = 4 - 2. Let x(m) = 4*m**2 + 3*m + 1. Let p(y) = o*z(y) + t*x(y). Find a, given that p(a) = 0.
-1, -1/2
Let v(z) be the second derivative of -z**4/24 + z**3/6 - 5*z. Factor v(f).
-f*(f - 2)/2
Let s be (-84)/(-22) + 0 + (-10)/(-55). Find w such that 3*w**2 - 2*w**3 + 1/2*w**s + 1/2 - 2*w = 0.
1
Suppose 20 = 4*g + 6*g. Factor -1/2 - t - 1/2*t**g.
-(t + 1)**2/2
Let z = 79/284 - 2/71. Suppose 0*p**2 + 0 - z*p**3 + 1/4*p = 0. What is p?
-1, 0, 1
Suppose 0 = 2*h - 3*h. Let k(a) be the first derivative of 1/3*a**2 + h*a + 2/9*a**3 - 3. Determine q so that k(q) = 0.
-1, 0
Let w = 6 + -4. Factor 4*m + 2*m**3 + 0 + m**w + 4*m**2 + 1.
(m + 1)**2*(2*m + 1)
Let a = -7 + 7. Let b be (-1 - a)*-2 - -3. Factor -k**b - k + 2*k - 2*k + 2*k**3.
-k*(k - 1)**2*(k + 1)**2
Let l = 55/51 - 7/17. Let q(x) be the first derivative of -1 + 3/4*x**4 - l*x**3 - 1/2*x**2 + 0*x. What is b in q(b) = 0?
-1/3, 0, 1
Suppose 10*d - 28*d = -19*d. Determine m so that -2/3*m + d - 1/3*m**3 + m**2 = 0.
0, 1, 2
Let j(t) be the first derivative of t**3 - 3*t**2 + 3*t + 2. Solve j(q) = 0.
1
Let z be (1 + 74/(-70))/(-2). Let w(b) be the third derivative of 0 + 0*b**3 + b**2 + 7/30*b**5 + z*b**7 + 0*b - 1/6*b**4 - 2/15*b**6. Factor w(d).
2*d*(d - 1)**2*(3*d - 2)
Let t(p) = -2*p**4 - 4*p**3 - 5*p**2 - 5*p + 5. Suppose 2*q + 0*q = -2. Let y(z) = z**2 + z - 1. Let n(v) = q*t(v) - 5*y(v). Find g, given that n(g) = 0.
-2, 0
Let v(s) be the third derivative of -s**5/390 - s**4/52 - 2*s**3/39 - 10*s**2. Let v(a) = 0. Calculate a.
-2, -1
Let z(y) be the second derivative of -y*
|
{
"pile_set_name": "DM Mathematics"
}
|
4*s = 22, 0 = 3*z + 4*s - 2*s - 26. Suppose 4*h - z*h = 0. Solve h = -l - 3*l - 4 for l.
-1
Let y be -6*(12/(-8) + 15 + 2). Let r = 98 + y. Solve -6*n - r = -n for n.
-1
Let i = -21 + 26. Solve i*g - 14 = 12*g for g.
-2
Suppose 0 = -34*b - 25*b. Solve 3*v + 9 = -b for v.
-3
Let o(i) = -8*i + 42. Let v be o(5). Solve 0 = h - v*h for h.
0
Suppose -4*p = -26 + 6. Suppose -2*r + 2*z - 10 = 0, z = -5*r - 4 - 3. Let y(x) = -x**3 - 3*x**2 - 2*x. Let v be y(r). Solve o + p = -v*o for o.
-5
Suppose -60 = -7*o + 2*o. Let z be 30/30 - (-1 - -1 - 2). Solve -7*x + z*x + o = 0 for x.
3
Let x(l) = -l**3 + 4*l**2 - 3*l + 7. Let v be x(4). Let k be (-1)/((1/3)/(v/3)). Solve p - k*p = -12 for p.
3
Let t(n) = -n**2 + 10*n + 16. Let y be (8/5)/(26/65). Let w be y*(-1)/((-12)/27). Let l be t(w). Solve -5*j + l = 5 for j.
4
Let g(u) = -u**2 + 6*u - 7. Let h be g(3). Suppose 0*r - 20 = -4*n - 4*r, -r = -n + 7. Solve 16 = h*x - n*x for x.
-4
Let q be (-25)/(-4) - (16/4)/16. Solve 2*t + 0*t + q = 0 for t.
-3
Suppose 0 = 3*j - 2*i - 2, -4*j + 3*i - 3 + 7 = 0. Let b be j/5 - (-12)/5. Suppose 38 - 10 = o + 5*s, -7 = o - b*s. Solve 0 = o*x - 6 for x.
2
Suppose 84*h + 215 = 89*h + 5*p, -5*p = -h + 31. Solve 50 - h = 3*w for w.
3
Let t be (1 - -47)/(-8) + (0 - -46). Solve -4*m + t = 20 for m.
5
Let l be -2 + (17/(-3))/((-4)/48). Solve -l = -3*d - 78 for d.
-4
Suppose -a = -4*a. Suppose 0 = -f - m - 2, -3*f + m - 3*m - 1 = a. Let w = f - -1. Solve w*y - 19 = -7 for y.
3
Let k(z) = -z**2 - 33*z - 241. Let w be k(-11). Solve -t = -w - 0 for t.
1
Suppose -4*z + 2*m = -4 - 16, -2*z - m = -14. Solve 2 = 5*r - z*r for r.
-2
Let a(o) = 4*o + 3. Let v be a(-2). Let b = 7 + v. Let t(f) = f**3 - 7*f**2 + 6*f. Let p be t(6). Solve p = b*q + 1 + 1 for q.
-1
Let n(c) = 3*c**2 + 14*c + 21. Let b be n(-3). Solve -b*t - 11 + 5 = 0 for t.
-1
Let p(o) = -2*o - 1. Let b be p(7). Let k(n) = n + 1. Let a be k(b). Let f(r) = -r - 12. Let y be f(a). Solve -y*g = 2*g for g.
0
Let r(g) = 5*g + 25. Let x be r(-4). Solve x*s = s - 8 for s.
-2
Let v be (45/(-10))/((-6)/4). Suppose -5*c + 10*c = s + 9, -12 = v*s. Solve y + c = -4 for y.
-5
Let d(f) = 17*f**2 + 3*f - 2. Suppose 0 = -y - 5*i - 9 - 0, -5*y + i = -7. Let h be d(y). Suppose -2*x = -6, -x - 3*x + h = 3*u. Solve 0 = -u*l + 4 + 2 for l.
3
Suppose -17 = 2*t - 11. Let z be (-12)/(2*t/4). Solve a + z = -a for a.
-4
Let o(m) = 2*m + 5. Let v be o(-10). Let w be 4/10 + (-44)/10. Let t be v/(-10) - 2/w. Solve z - 1 = t*z for z.
-1
Let x(p) = -p**2 - 2*p - 16. Let c be x(7). Let l = 79 + c. Let r be (-2)/(-9) - (-21)/27. Solve 4*s - 17 + r = l for s.
4
Let y = -6 - -13. Let k(b) = -b**3 + 6*b**2 + 6*b + 7. Let f be k(y). Suppose 5*n - 23 = -4*q, 7*n - 9*n + 3*q = 0. Solve n*w = -f + 3 for w.
1
Let c(a) = -3*a**2 + 4*a - 3. Let l(q) = -q**2 + 1. Let g(h) = -c(h) + 4*l(h). Let w be g(-5). Let u be 5/(15/(-6)) + 7. Solve 0 = w*v - v + u for v.
-5
Let q(l) = -l**3 + 8*l**2 - 9*l + 4. Let p be q(6). Let m = p + -17. Suppose 4*v = m*v - 1. Solve 0 = -o - v + 3 for o.
2
Suppose 0 = 3*q + 5*n - 53, 8*q + n - 15 = 7*q. Solve 0 = q*k - 7*k for k.
0
Let x be ((-4)/5)/((-26)/(-65)). Suppose -2*u + u = -5. Let j = x + u. Solve 0*g - j = g for g.
-3
Suppose 8*k = -158 + 198. Solve -k*i + 41 - 16 = 0 for i.
5
Let w(b) = -b**3 - 2*b**2 + 4*b + 4. Let s be w(-3). Let a be 6 - (1/s + -1). Let t = -72 + 76. Solve t*v + a + 10 = 0 for v.
-4
Suppose -2*b + 2 = -2*i, 4*i = 3*b - 2*b - 1. Let f(k) = -3*k - 35. Let l be f(-14). Let q = l - 2. Solve 0 = 2*a + b + q for a.
-3
Suppose -3*v + 2*r = -98 - 3, 137 = 4*v - 5*r. Let q = v + -52. Let g = -18 - q. Solve -o + 0*o = g for o.
-1
Let y(k) = -k**3 + 10*k**2 - 3*k + 4. Let z be y(9). Solve z = -5*o + 33 for o.
-5
Let d(t) = -t**3 + t**2 + 8*t - 3. Let n be d(3). Let b(m) = 13*m - 39. Let h be b(n). Solve h*q - q - 3 = 0 for q.
-3
Let d = 510 + -501. Solve -11*p = -2*p - d for p.
1
Suppose 0 = 8*u - 34 - 30. Suppose -20 = -4*f - 2*n, 3*f - 4*f - 2*n = -11. Suppose -f*y + 96 - 21 = 0. Solve u*v = 3*v + y for v.
5
Let g(w) = 7*w**2 - 2*w - 2. Let l(s) = s**2 - s. Let j(m) = g(m) - 2*l(m). Let i be j(1). Solve 8 = -i*v + v for v.
-4
Let t be ((-5)/15)/((-1)/24). Let m be (-12)/t*24/(-18). Solve -m*z + 0 = -4 for z.
2
Suppose 252*m - 246*m = 0. Solve -h - 5 + 1 = m for h.
-4
Let v = 108 - 58. Suppose 0 = -2*w - 2*r + 4, -2*w + 5*r + v - 11 = 0. Solve w + 8 = 3*i for i.
5
Let n be ((-4)/(-6))/(2/3). Suppose 2*j - 3*o + 31 = 4*j, 2*j - 52 = 4*o. Suppose 5*t + j = 2*c, -3*c + 2*t = 2*c - 29. Solve -v = -n + c for v.
-4
Let d be (-2 + 1)/(-1 + 0). Let p be (4 - 4)/((-2)/2). Suppose q - 22 = -5*l, 3*l - 4*q + p = 27. Solve d = -l*f - 4 for f.
-1
Let h(v) = v**2 + 2*v. Let y be h(2). Suppose 17 = y*u - 7. Solve -5 = u*r - 2 for r.
-1
Suppose -z + 3*s = 1 + 1, 0 = -3*s. Let q be (-4)/(3 - (2 - z)). Suppose 3*y - 13 = -q. Solve y*j = j for j.
0
Suppose 152*v - 157*v = -115. Solve 18*g = v*g for g.
0
Let s(k) = -k**2 + 4*k - 4. Suppose 10 = 5*l - 0. Let i be s(l). Solve i = -3*r + r + 6 for r.
3
Let u be 1*(-220)/(-32) + 2/16. Solve u*z = -0*z for z.
0
Let u = 142 + -136. Solve -10*t = -u*t - 12 for t.
3
Suppose b - 1 = -5*p + 4, b = 5*p + 5. Solve b*m = -24 + 4 for m.
-4
Let b(k) = -k + 5. Let s be b(7). Let f be 4/s - (-18 - -16). Solve f + 3 = -t for t.
-3
Suppose 16 + 38 = 18*o. Solve -o*a + 25 = -8*a for a.
-5
Suppose -50 - 18 = -17*x. Solve 2 = 3*h - x for h.
2
Suppose -7 = -12*m + 17. Solve 8 = -m*x - 0 for x.
-4
Let x(b) = 4*b**2 - 28*b + 6. Let p be x(7). Solve d = -p + 4 for d.
-2
Let k be ((40/6)/5)/(5/15). Suppose k*q = 2*q + 20. Solve 4*j + j = -q for j.
-2
Let b(z) = -3*z + 12. Let k be b(-9). Solve 0 = -k*n + 44*n - 10 for n.
2
Suppose -8 = -2*a - 0*a. Let d be (a/10)/(1/10). Suppose 0 = 11*r - 168 + 146. Solve r*s - d = s for s.
4
Let x = -12 + 17. Suppose -l + 59 = x*d, -2*d + l - 3*l = -30. Let g = d - 9. Solve 3 + g = -j for j.
-5
Let d = 1 + 1. Let h be (18/12)/((-4)/(-24)) + -6. Solve -d*n = -h*n for n.
0
Let o(m) = -m**2 - 13*m - 22. Let s be o(-10). Let j be s - (-2 - -4) - (-12 + 15). Solve -j*k = 2 + 4 for k.
-2
Suppose 0 = -l - f + 42, 3*l + 0*l - f = 110. Let j be l/7 - 30/70. Solve -j*b + 2 = 12 for b.
-2
Let n be ((-3)/3 - -2)/(-1). Let t be 1/(1/3) - (-2 - n). Suppose 0 = -6*w + 3*w + 6. Solve 0 = w*d - t for d.
2
Let a = -119 - -114. Let k be -4 + (0 - (a - 1)). Solve -k*w - 16 = -6*w for w.
4
Suppose -9 = 3*z - 18. Suppose 0 = -7*q + z*q + 8. Solve -q*d = -4*d + 8 for d.
4
Let q be (7 + -5)*2/2. Let l = 6 + 0. Suppose -4*h + l*h - 6 = 0. Solve 0 = -h*v + q*v - 5 for v.
-5
Suppose v = 2*r, 12*v = 8*v + 2*r + 30. Solve v = -4*g + 6*g for g.
5
Let g be (-2)/9 - 1456/(-72). Suppose 30*r - g = 25*r. Solve -15 = -r*t + t for t.
5
Let o(m) = m**2 - 6*m + 7. Let v be o(5). Suppose 0 = -13*s + 17*s - 12. Solve 0 = v*w - 5*w - s for w.
-1
Suppose -3*o + 0 + 6 = 0. Suppose -3 = o*r - v - 16, -2*v = 4*r - 14. Suppose -4*c - 6 = -r*c. Solve -c*t = -t for t.
0
Let n(m) = -5*m**2 + 3*m + 1. Let y be n(-2). Let p(g) = -g**2 + 37*g - 128. Let f be p(33). Let o be (y/20)/((-1)/f). Solve -20 + o = 5*t for t.
-3
Let k be 2/(-5) - ((-2772)/(-20))/(-9). Suppose -3*s = -2*d - k, -10 = s - 3*s - d. Solve s - 1 = -2*p for p.
-2
Let r be ((-1)/2)/((-438)/48 + 9). Solve r*s + 38 = 30 for s.
-2
Let t be (-12 + 13)*11/(-1). Let g be ((-1)/2)/(t/22). Solve g = n - 1 for n.
2
Let q(f) = f + 3. Let a be q(-3). Let m(g) = 31*g + 540. Let t be m(-17). Solve a = -4*w - 1 + t for w.
3
Suppose -m + 33 - 19 = 0. Solve -5*j - 2*j + m = 0 for j.
2
Suppose -9*y + 6*y = 0. Suppose y*b - 8*b + 16 = 0. Solve 3*a - b*a = 3 for a.
3
Let k = -352 + 352. Solve k = -0*d - 2*d for d.
0
Let o(w) = w**2. Let q(g) = 5*g**2 - 2*g + 4. Let k(a) = -4*o(a) + q(a). Let u be k(0). Let z be (-2)/1 + (6 - u). Solve z - 3 = -3*t for t.
1
Let u be (-2)/3*(-14)/(140/15). Solve 19 + u = 4*g for g.
5
Let n = -8 + 16. Let h = n + -12. Let i = 6 + h. Solve -2 = i*m - 12 for m.
5
Let s(j) = -3*j + 7. Let r be s(-7). Suppose 5*l = -4*z - r + 1, -2*l - 2*z = 12. Let n be ((-3)/9)/(1/l). Solve -x + 6 = n for x.
5
Let o(h) be the first derivative of h**2 - 10*h + 4. Let f be o(7). Suppose -5*b + 33 = -0*b + f*t, 2*b - 12 = -t. Solve 0 = 4*w + b + 3 for w.
-2
Suppose 3 = -w
|
{
"pile_set_name": "DM Mathematics"
}
|
= 61 + -65. Let q be (y/8 + 1)*0. Solve 2*h - 15 = 5*h, q = -5*f + 2*h + 20 for f.
2
Let j(z) = z**2 + 5*z - 1. Let d be j(-6). Let v = 2 - d. Let b = 3 + v. Solve b = -4*i - 4*u - 12, -i - 5*u = -3*u + 5 for i.
-1
Suppose -5 + 25 = 5*g. Let h = 9 - g. Suppose 2*y + 0*r + 2*r + 4 = 0, y - 28 = h*r. Solve -2*q = -0*o + 4*o + 20, 2*q = -y*o - 16 for q.
-2
Let g = 200 - 191. Solve 3*b + 3*n - g = b, 2*b + 2*n - 4 = 0 for b.
-3
Suppose 3*f + 12 = s, 0 = s + s - f - 4. Let w(h) = h - 1. Let l be w(3). Solve -3*o + 0*o + l*y = 22, s = 3*o - y + 17 for o.
-4
Let u = 855 - 851. Solve y + 22 = -u*x, 2*x + 0 = -4*y - 18 for y.
-2
Suppose -4*x = -13*g + 16*g - 21, x = 4*g - 9. Solve -2*m + 5*m = -a - g, m + a = 1 for m.
-2
Suppose -7*d + 150 = -25. Solve 0 = -5*u + 25, -3*p = 5*u - 3*u - d for p.
5
Let s(g) = g**2 + 6*g - 4. Let c = -5 + -2. Let x be s(c). Let r = -1886 - -1889. Solve t = -z - 1, x*z - 5 = r*t - 8*t for z.
-5
Let v(j) = 5*j**2 - 2*j + 1. Let a be v(1). Suppose -2*z - h = -4*h - 25, 3*z - 10 = -h. Solve -q + a*u - 15 = 0, 5*q = 2*u - z*u + 17 for q.
1
Let u(h) = 18*h + 95. Let s be u(-5). Solve s*o = -5*z + 25, -2*z + 12 = 4*o - 0*z for o.
1
Let u(s) = s**2 + 2. Let f(i) = i**3 - i**2 + 3*i - 7. Let z(p) = -f(p) - 4*u(p). Let r be z(-1). Solve -l + 4*t + 13 = r, -5*l + 3*t + 5 = -2*t for l.
-3
Let d be 133/5 + 2/5. Suppose d - 36 = -3*p. Suppose 22 + 45 = 4*t + p*z, -4*t + 66 = 2*z. Solve -3*f + 4*u = 12, -4 + t = -3*f - 2*u for f.
-4
Let n(z) = -2*z**2 + 36*z - 72. Let g be n(15). Solve 2*r - 2*i = -g, 0 = 2*i - i - 4 for r.
-5
Let t(r) = r + 7*r**3 + 8*r**2 + 2 - 8*r - 8*r**3 + 0*r**3. Let z be t(7). Solve -5*j - z = 4*y - y, 2*y + 12 = 2*j for y.
-4
Let q be ((-55)/(-10) - 7)*10/(-3). Solve -5*k + q*v + 10 = 0, -4*k - v - 32 = 3*v for k.
-3
Let r be (-5 - -6) + 10 + -6. Solve -r*n + 20 = -4*t, -3*t + 4*n + n - 15 = 0 for t.
-5
Suppose -4*d + 4*y - y = -23, 0 = 4*d - 2*y - 18. Let j = 41 + -26. Let z = 15 + j. Solve -n = -5*f + 23, 4*f - z = d*n - 8 for f.
4
Let a(i) = 5*i - 18. Let c be a(5). Let g(o) = 2*o. Let f be g(1). Solve -3*m + c = -3*q - f, 2*q - 14 = -3*m for q.
1
Let b be (-2)/(-8) - (-41)/(-4). Let l = 13 + b. Solve 2*c - 18 = -4*s, 2*c = -0*c + s + l for c.
3
Suppose -3*g - 367 = 4*u, -156 = 2*u - 0*u - 4*g. Let j = u - -102. Solve -3*a + 7*a - 2*s = j, -1 = 4*a + 3*s for a.
2
Suppose -2*w - 4*i - 82 = 0, 9*i - 48 = w + 4*i. Let q = 47 + w. Solve 4*b + 20 = -q*l, -3*b - 5 = 3*l - 2*l for l.
-5
Let a = 2 + -3. Let g be ((a - 1) + -2)/(-2). Let s = 53 - 51. Solve -27 = -3*d - 5*i, -g*i - s*i = 5*d - 32 for d.
4
Suppose -4*o + 0 = -2*r - 16, -4*o - 4*r = 8. Let f = -30 + 34. Solve 5*x + 3*d = -o*d - 10, 2*x - 4*d = -f for x.
-2
Let o(y) = 9*y**2 - 21*y - 1. Let w(f) = 5*f**2 - 11*f - 1. Let i(c) = 3*o(c) - 5*w(c). Let m be i(4). Solve -3*n + 3*d + 23 = -2*d, 0 = 4*n - m*d - 12 for n.
1
Suppose -285 + 33 = -84*x. Solve -4*q + 4 = -2*q - 4*r, 0 = -q + r + x for q.
4
Let x(f) = f**3 - 8*f**2 - 9*f. Let a be x(9). Suppose -5*g + 3*g + 12 = a. Solve 6*t = 2*t + d + 1, -2*d + g = 0 for t.
1
Suppose -f = -0*f - 4*c, -c = 0. Suppose 0 = -21*a + 135 - 30. Solve 5*x - l - 8 - a = f, -3*x = l - 3 for x.
2
Let i(u) = -u**3 - u**2 - 2*u - 3. Let m be i(-2). Solve -b + 16 + 3 = -5*n, m*n - 5*b = -35 for n.
-3
Suppose 0 = -d + 7*d - 18. Let s be ((0 - d) + (-20)/(-6))*12. Solve 3*q + 5 = -3*g + 5*q, s = -2*g + 2*q for g.
-1
Let a be 2/10 + (-655)/25. Let i = a - -31. Suppose -5*q - 3*r = -8*r - 195, 0 = -r - i. Solve -3*z - 3*b + 4 = q, 20 = -z - 3*b for z.
-5
Suppose 0*v = 2*v + h - 12, 39 = v - 5*h. Let n = 1 - -2. Solve 4*y + 3*k = 8, -8*y + n*y + k - v = 0 for y.
-1
Suppose 2*p = -3*w + 80, 0 = 2*w - w - p - 35. Let n = 31 - w. Suppose -n - 5 = -3*s. Solve s*m + 6 = -t, -3 = 2*t - 7 for m.
-4
Suppose 5*v = 4*x - 0*v + 3, -5*x = -5*v. Let r be x/(0 + 12/8). Solve r*g = -2*k, -g + 3*g - 20 = 3*k for g.
4
Let m = 2245 - 2243. Solve 3*w + 5*u = 9, 0 = -4*w - 2*u - m*u + 4 for w.
-2
Suppose -5*t + 82 = -4*p - 16, -p = 2. Suppose -t*m + 6 = -16*m. Solve n - 3 - 5 = -m*r, -3*n = -3*r for r.
2
Suppose 3*m - 31 = -m + 5*o, o - 61 = -4*m. Let v = -10 - -30. Let k = v + -2. Solve -u + k = -4*p, -3*p + 0*p = -u + m for u.
2
Let g(h) = 13*h - 12. Let p(b) = 13*b - 14. Let t(i) = -6*g(i) + 5*p(i). Suppose 3*w + 4 = -w. Let f be t(w). Solve -5*n - f = 3*k - k, -n - 21 = 4*k for n.
-1
Suppose 0 = 4*n - 2*g - 38, -n - n - 3*g = 1. Solve -4*c = d - 8, -4*d = -5*c - n - 4 for d.
4
Let w = -33 + 28. Let x(h) = h**2 + 4*h + 1. Let z be x(w). Let f(u) = -u**3 + 8*u**2 - 7*u + 4. Let n be f(7). Solve 3*o + n*d = 2*d + 8, -o + d = -z for o.
4
Suppose 0 = -5*u + 10*u - 15. Suppose 21*o = 377 + 43. Solve -a + 6*t = t - o, -5*a - u*t = 40 for a.
-5
Suppose 5*j - 173 = 5*s - 63, 0 = 2*j + s - 38. Suppose 0*f + j = 5*f. Solve 3*i - f = -5*b - 3, -4*i = 5*b + 2 for b.
2
Suppose 0 = 2*t - 9*t + 91. Let j = 2 - -8. Solve g = -g + j, 3*f = 2*g - t for f.
-1
Let j(u) = 3*u**3 - 7*u**2 - 5*u + 4. Let o(x) = -x**3 + x**2 + 1. Let w(v) = j(v) + 2*o(v). Let c be w(6). Solve 9 = 3*n, 2*b + n = -3*b - c for b.
-3
Let u(a) = 9*a**2 + 73*a + 11. Let w be u(-8). Solve 0 = 5*o - w*f - 0*f + 6, -4*f = o - 8 for o.
0
Let k be 5 + -5 + 1 + 4. Solve 0 = k*w + 2*v + 16, -3*v = 4*w - 6*v - 1 for w.
-2
Let q be 3 + -4 + 0 + 1. Suppose i - 220 = -4*z - 0*i, 0 = 2*i. Let g be (z/(-44))/((-1)/4). Solve 3*h + 5*n + 23 = n, q = -g*n - 25 for h.
-1
Let j be 4/3 - (-34)/561*11. Solve 3*b - 6*b = j*s + 25, 2*s = 4*b + 10 for b.
-5
Suppose 5*d = z + 5, 0 = -5*z + z + 2*d - 2. Suppose -4*a - h + 11 = 0, 5*a + 0*h + 3*h - 5 = z. Solve r + 5*j - 6 + 16 = 0, -4*r = -a*j + 16 for r.
-5
Let i = -3 + 5. Suppose -6*n = -i*n + c - 29, 2*n - 3*c = -3. Suppose -7*p + n*p = 0. Solve -6 = -g - 3*x, p*g - 4*x = 2*g - 10 for g.
3
Let n = 283 + -279. Solve -2*k + 5*k = -n*y - 8, -8 = k - 4*y for k.
-4
Let q(m) = 3*m - 16. Let b be q(17). Suppose -6*j = -b - 1. Solve 12 = 3*k, 1 = 3*v - 5*k + j for v.
5
Let a be (-2)/7 - 456/(-28). Let r be a - (-3 - -5)/(-2). Suppose -36 = -18*g + 12*g. Solve u - 13 = -5*d, r = 5*u - 2*d + g for u.
3
Let r be (-1)/(-5) + 82/(-10). Let d = 6 + r. Let z be (3/d)/((-6)/4). Solve 3*p - z = -s, -5 + 1 = -4*s + 5*p for s.
1
Let v(h) = h**2 - 3*h - 65. Let b be v(-7). Solve -10 = -4*q - 2*k, -q - 10*k + 8*k - b = 0 for q.
5
Suppose 0 = -l + 2 - 0. Solve 3 - 7 = -n, 2*f - n - l = 0 for f.
3
Suppose -n = -3*c - 110, -324 = -3*n + 5*c - 2. Suppose 11*a = 3*a + n. Solve -4*g - 2*t + 7 = -1, -5*g - 4*t = -a for g.
1
Let f = -57 - -57. Let n be 4 + f - (0 - (-2 + 0)). Solve 2*m = -n*h - 10, 3*h - 16 = 5*h + 5*m for h.
-3
Let q be 3/4*(-2 + 6). Let d be (-40)/(-10)*(-15)/(-12). Solve -5 = z + 4*x, 2*x + 0*x - d = -q*z for z.
3
Let z(n) = 9*n + 320. Let f be z(-35). Solve -5*o - 6*u + 10*u = -f, -4*u = 0 for o.
1
Let l(n) = 2*n + 49. Let a be l(-6). Solve 5*x + 3*t = -a, -x - 3*t - 1 - 16 = 0 for x.
-5
Let a = 911 + -911. Solve a = 2*v - 4*z - 8, 2*v - 2*z + 8 = 4*v for v.
4
Let y = -219 - -223. Let z(q) = 3*q - 11. Let o(d) = 10*d - 33. Let h(g) = 2*o(g) - 7*z(g). Let u be h(9). Solve -m = -u*n + m + y, m = 0 for n.
2
Suppose -1 = -z + 1. Let q be 14/49 - (-3)/(63/78). Suppose 0 = n + q, -f + n + 1 = -5. Solve -3 = -f*a - i + 2, -2*i + z = 2*a for a.
4
Suppose 0 = 8*m - 244 + 124. Solve -o + m = -4*w, -2*o + 18 = -o - 5*w for o.
3
Suppose -10*f = 583 - 1393. Let a = -79 + f. Solve -2*o = -a*s - 18, -2*s = 4*o - 2 - 10 for o.
5
Let t(r) = -r + 5. Let k be t(3). Let o be (-16)/(-5) - k/10. Solve -3*w = 3*u - o, 2*u + 3*w + 1 + 1 = 0 for u.
5
Let g = -59 + -231. Let a = g - -293. Suppose -2*m - 2*m + 49 = -5*c, -4*c = -m + 26. Solve -n + a = 5*u, -4*n - m - 3 = -u for u.
1
Let d be (-10 + (1 - 3))/(-2). Suppose -d = -3*l + 6. Suppose 0 = -5*a + p - 2, 2*p + 6 = -l*a + 5*p. Solve -2*n = -3*v + 6, -5*n - 3*v + 7*v - 15 = a for n.
-3
Suppose -z + 0*z = 0. Suppose -4*l = k, z*l = 2*l + 3*k. Suppose -4*i + 2 + 6 = l. Solve 3*b = 0, b + i*b = 3*v for v.
0
Let c(t) = t**2 + 8*t - 2*t**2 + 0*t**2 - 14*t + 4. Let f be c(-6). Solve -f*m = 5*o + 30, 0*m + 2*o = 5*m + 21 for m.
-5
Let c be (6/8)/((-6)/(-24)). Suppose 0*a + 44 = 4*a. Let y be (a/4 - 3)*-12. Solve y*g - c = -4*p, 4*p - 9 - 6 = g for g.
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let b(q) = q**2 + 4*q - 7. Let s be b(-6). Let u = s - z. Solve 0*w + 2 = u*w for w.
1
Suppose 4*f = i + f - 24, -i = 5*f + 16. Let z be (6/i)/((-2)/(-9)). Solve z*k = -5 - 1 for k.
-2
Let w be 1 + 1 + 1 + -9. Let j = w - -18. Solve j = 4*m + 4 for m.
2
Let o(h) = -h**3 + 9*h**2 - 7*h + 8. Let z = 11 - 3. Let g be o(z). Solve -2*f - 2*f - g = 0 for f.
-4
Let n(v) = 3*v + 7. Let c(s) = s. Let f(w) = -4*c(w) + n(w). Let j be f(-7). Let i = -10 + j. Solve 4*p = i + 16 for p.
5
Suppose -3 = 3*y - 9. Solve y*t = -t + 12 for t.
4
Let k(q) = q**2 - q + 2. Let g(r) = -r**2 + 3*r + 7. Let u be g(5). Let j be k(u). Solve 5 - j = 3*l for l.
-3
Suppose -30 = -u - 4*u. Let k = 5 - 2. Solve k*n = u*n + 12 for n.
-4
Let s(f) = -2*f**2 - 1. Let l be s(1). Let i be (0 + -6)/(l/2). Suppose -2*w + j = -25, -4*w + j + 59 - 10 = 0. Solve -4*d + i = w for d.
-2
Let i be 1 + 2 + (-2 - -1). Let g be 1 - i - (5 - 11). Suppose u + 2*o - 12 = 0, -39 = -g*u - 3*o + 49. Solve -3*r = r + u for r.
-5
Let a(l) = 2*l**2 - l. Let v be a(-1). Suppose 4 = -v*f - 5. Let g be (f - 7)*(-2)/4. Solve g*y + 12 = -8 for y.
-4
Let w be 198/10 - (-4)/20. Let b = 3 - -1. Suppose b*f = f. Solve f = 2*k + 3*k - w for k.
4
Let l(h) = -4*h**2 - 4*h + 3. Let y(d) = d**2 + d - 1. Let f(p) = l(p) + 5*y(p). Let c be f(4). Solve -5*j - 3 + c = 0 for j.
3
Suppose -c = -4*b + 2*c + 22, -8 = -4*b - 4*c. Suppose 1 - b = -v. Let x(l) = -l + 8. Let z be x(8). Solve z - v = p for p.
-3
Let u = -64 - -68. Solve -u*h + 3 + 5 = 0 for h.
2
Let m(z) = -z - 9. Let a be m(-13). Solve 20 = a*d - 0*d for d.
5
Let s(g) be the third derivative of -g**6/120 - g**5/12 - 4*g**2. Let z be s(-5). Solve 2*b - 5*b - 9 = z for b.
-3
Suppose -2*o + 75 = 3*o. Suppose v = 19 - o. Solve v*a - a = 0 for a.
0
Let t(y) = -8*y - 1. Let q be t(4). Let l(w) = -2*w**3 - 2*w**2 - 5*w - 3. Let g be l(-3). Let o = g + q. Solve 4*p - o = -p for p.
3
Suppose f = -3*k + 32, -2*f + 0*f = 2*k - 16. Solve -k = 7*i - 4*i for i.
-4
Let k = 0 - -1. Suppose -5*g + d = -12, k = 5*g - 4*d - 2. Solve -y - 2 = -g*y for y.
1
Suppose -5*m + 5 = -0*m. Let n = 3 - m. Solve n*t = 3*t for t.
0
Let g(l) = 2*l + 13. Let p(r) = -r - 8. Let c be p(-3). Let i be g(c). Solve -7*k = -i*k for k.
0
Suppose -2*r = -2 + 6, -4*i = r - 2. Let v be (2/3)/((-8)/(-36)). Suppose i = -h + v. Solve -c + h = -0 for c.
2
Suppose -3*m - 6 = -5*m. Let y be (12/30)/((-2)/(-10)). Suppose -19 = -3*f - l, 0*l + 5*l = -y*f - 9. Solve f*h = m*h - 10 for h.
-2
Suppose -3*h - 5*p + 9 + 14 = 0, -2*p - 48 = -4*h. Solve -2*j + 3 = h for j.
-4
Let z = -5 - -5. Suppose 0 = 5*b - z*b. Solve 2*j - 3*j - 2 = b for j.
-2
Suppose 2*a + a - 6 = 0. Suppose -6*y + 35 = -y. Solve -5*i + y = a for i.
1
Let a be (-2 + 3)*5/(25/10). Let r be (-4 + 6)*(-2)/(-4). Solve 3*m + r = a*m for m.
-1
Let o = -15 + 15. Let v = -4 + 6. Let m be v - o - (-26)/2. Solve -4*p = -9*p - m for p.
-3
Let u = 11 - -9. Solve 0 = -d + 6*d + u for d.
-4
Suppose -5*c - 1 = -4*m - 31, 2*m = c. Suppose -c = -3*o + 2*o. Solve o = 4*y + 26 for y.
-4
Let q be (12/(-10))/((-4)/10). Suppose q*a = 30 + 18. Suppose t + 3*x = -4*t + 28, -3*t + a = x. Solve -o - 4 = -t*o for o.
1
Suppose 3*c + 4*o = 2*o + 26, -5*c - 2*o = -38. Let i(y) = -y**3 + 6*y**2 - 6. Let n be i(c). Let x be n/27 - (-454)/18. Solve 6*v - v = x for v.
5
Let b be (-6)/(-3 - 48/(-15)). Let v be 3 + 0 - b/(-10). Solve 5*j + 20 + v = 0 for j.
-4
Let q(d) = d**3 - 3*d**2 + 2*d - 6. Let m be q(3). Solve -2*t + 1 + 1 = m for t.
1
Let l(o) = -o**2 - 6*o + 2. Let d be l(-6). Solve 0 = 3*w - d*w + 1 for w.
-1
Let b = -7 - -11. Let o be (b/(-3))/((-6)/9). Suppose 1 - 2 = -g. Solve o*z + g = z for z.
-1
Let f = 1 - -5. Let b be 1*21/f*-10. Let d be 2/8 + b/(-20). Solve 3 = -d*v - 7 for v.
-5
Let l(o) be the second derivative of -o**4/12 - o**3/6 + 2*o**2 - 6*o. Let t(s) = s**2 + 7*s - 8. Let a be t(-8). Let h be l(a). Solve h*q - 6*q - 2 = 0 for q.
-1
Let a be 6/12 + 1/(-2). Solve a = -2*u + 10 - 0 for u.
5
Let b(g) = g + 1. Let w be b(2). Suppose -4*o - w*s = -24, 4*o - 56 = -5*s - 24. Suppose 5*f = 1 + 34. Solve -f*p + 12 = -o*p for p.
3
Suppose 4*i + w - 3 - 5 = 0, 0 = 3*w. Solve i*b + 3*b - 10 = 0 for b.
2
Let d = 7 + -3. Let s be ((-12)/d - -2)*-2. Solve s*r + r = -15 for r.
-5
Suppose -b = -4*b + 3. Suppose 2*n - b = 1. Solve -n = -4*a - 5 for a.
-1
Let h(p) = -15*p - 1. Let y be h(-1). Let k be 47/9 + y/(-63). Solve 0*j = j + k for j.
-5
Suppose -j - 5 + 6 = 0. Suppose -3 - 5 = 2*u. Let i be u - -5 - (-1)/j. Solve x = i*x - 2 for x.
2
Let h(s) = -s**2 - 6*s - 4. Let y be h(-4). Suppose -t + 4*c = 8*c - 12, -4*t = -y*c + 12. Solve 4*r - 4 = -t for r.
1
Suppose -3*s = 2*g - 1, -3*s + 4*g + 1 = -6*s. Let u be s + (-3)/((-9)/42). Solve 2*n + 3*n = u for n.
3
Let i be (21/12 + -3)*-4. Let s be 20/(-5)*(-1)/2. Solve i*u - 7 = -s for u.
1
Let m(g) = g - 25. Let a be m(25). Solve a = -5*s + 33 - 13 for s.
4
Let l be (-2)/(-3) + (-50)/(-6). Let u be 3*3/l + -3. Let s be u + (0 - -9 - -1). Solve -4*r = -2*r - s for r.
4
Let t be 0*1/(-2)*2. Let u = 54 - 52. Suppose -k + u*k - 2 = t. Solve 0 = -2*s + k - 0 for s.
1
Suppose -c - 4*g + 16 = 3*c, -2*g + 8 = -4*c. Suppose -5*y + 12 = y. Solve -2*k - y = -c for k.
-1
Suppose -20 = -43*y + 42*y. Solve -4*u + y = u for u.
4
Suppose -3 = -j - 0*j. Let r = j - -1. Solve -2*o - r = 2*o for o.
-1
Let a(q) = -q**3 - q**2 - q + 1. Let j(y) = 2*y**3 - y**2 - 9 + 13*y**2 - 2*y**2 + 3*y. Let r(o) = -3*a(o) - j(o). Let k be r(7). Solve h = -2*h - k for h.
-2
Suppose 2*x = -x + 6. Solve 3*c + x = 5 for c.
1
Let q(y) = -y + 10. Let b be q(5). Suppose 0*i + 26 = 4*j - b*i, -3*i - 26 = -5*j. Solve 4*s + 0*s = j for s.
1
Suppose 32 = 3*v + 8. Solve 0 = v*f - 4*f + 20 for f.
-5
Suppose q + 4*q = 10. Let p = q - 2. Let f be (0 - -1)*5/((-5)/(-3)). Solve p = f*d + d + 12 for d.
-3
Let y be 1 + (-1)/(-1) + 1. Let v be 15/6*(-8)/(-10). Solve -y*d + d + v = 0 for d.
1
Suppose q = -1 + 5. Solve -4 = -q*g - 0 for g.
1
Let m = -8 + 8. Solve 2*x + x = m for x.
0
Let h be -1*(-3)/(-3)*-1. Suppose -h = 2*j - 9. Solve 0 = -g + j*g + 12 for g.
-4
Suppose 25*x + 20*x = 45. Let h be (-50)/(-6) - (-1)/(-3). Suppose 4*g + 6*p = 2*p + h, 3*p - 12 = -5*g. Solve 2 = -g*v - x for v.
-1
Let y be (-5)/(10/4)*1. Suppose -3*z - 2*h = -z + 2, h = z + 3. Let r = y - z. Solve 3*b - 3 = -r for b.
1
Suppose 2*f + 5*f = 0. Solve f = 4*q - 7*q for q.
0
Let i be (-6)/(-4) + (-4)/8. Let y = 2 + i. Solve 2 = h - y*h for h.
-1
Suppose -m = -6*u + 2*u, -5*m - 5*u = 0. Let b(i) be the second derivative of -i**5/20 - i**3/6 + 2*i**2 - i. Let h be b(0). Solve m = h*p - p + 3 for p.
-1
Let j(k) = k + 9. Let z be j(-6). Solve -6*l + z*l + 9 = 0 for l.
3
Let c = 0 + -9. Let q = c + 18. Let i be (0*(-3)/q)/1. Solve 5*z - 1 - 4 = i for z.
1
Let a(w) = 4*w**2 + w + 1. Let d be a(-1). Suppose 0 = d*b - 6 - 2. Solve -6*o + 20 = -b*o for o.
5
Let f(k) = -k**2 - 4*k + 2. Let p be f(-4). Let i = -6 - -8. Let r be (i/(-5))/(7/(-35)). Solve p*z = -r*z for z.
0
Let z = 0 + 1. Suppose -2*o = z + 1. Let g be 1*(-3 - 0)*o. Solve -t + g = -2 for t.
5
Suppose -5*c + c = -4. Let x be (-3)/((2 - 3)/c). Let m be 0/(-1 - -4 - 1). Solve j - x - 2 = m for j.
5
Let p be -1*(2 - (8 - (1 - -1))). Solve p*m + 38 = 18 for m.
-5
Let v(m) be the second derivative of m**4/24 + m**3 - m**2/2 + m. Let k(y) be the first derivative of v(y). Let z be k(-5). Solve -b + 0 - z = 0 for b.
-1
Let p(t) = -2*t**2 + 7*t + 5. Let w be p(4). Solve 0 = -2*y + w - 7 for y.
-3
Let q(r) = 4*r**3 - r. Let h be q(1). Solve 0 = b + 1 - h for b.
2
Let t(y) = -y**2 + 6*y. Let w be t(4). Let l(r) = r - 3. Let k be l(w). Suppose -c + 17 = 3*c - 3*n, 4*c = k*n + 23. Solve m + c - 5 = 0 for m.
3
Suppose 15*m = -3*m + 36. Let h be 12/10*(-5)/(-2). Solve z + h = m*z for z.
3
Suppose 2*x + 4 = -3*k - 3*x, x + 8 = 3*k. Let a be (-6 - -4)*(-1)/k. Suppose 1 = z - a. Solve 12 = z*s + s for s.
4
Let z(j) = -2*j. Let m be z(-1). Suppose -3*p + 3 = 4*n, -3*n + 3*p = -8*n + 6. Solve -w = -m*w - n for w.
-3
Let h(i) = i**2 + 3*i + 4. Let m be h(-3). Let q(k) = k**2 - 26*k - 120. Let u be q(30). Solve 2*a - 2 - m = u for a.
3
Suppose 0 = 16*q - 36 - 44. Solve 0 = q*g - 4 - 1 for g.
1
Let l(n) = n**3 + 10*n**2 - 11. Let y(w) = w**2 - 1. Let c(k) = -l(k) + 6*y(k
|
{
"pile_set_name": "DM Mathematics"
}
|
ommon denominator of 5/1518 and -43/198.
4554
Calculate the common denominator of 59/7508 and 57/18770.
37540
Find the common denominator of -89/4 and -52/5809.
23236
Calculate the smallest common multiple of 27 and 877851.
877851
What is the common denominator of 53/5798 and -25/9812?
127556
Calculate the common denominator of -39/2 and 71/4004.
4004
Find the common denominator of 101/624 and 107/3536.
10608
What is the lowest common multiple of 9882 and 108?
19764
Find the common denominator of 179/12630 and -22/18945.
37890
Find the common denominator of 119/234 and -45/26.
234
Calculate the common denominator of -73/2133 and -95/11376.
34128
What is the lowest common multiple of 2 and 239232?
239232
What is the common denominator of -27/190762 and -81/572?
381524
Calculate the least common multiple of 10572 and 524.
1384932
Find the common denominator of -79/166275 and -49/15.
166275
What is the common denominator of -131/892220 and 30/70103?
9814420
Calculate the least common multiple of 220 and 44980.
494780
Calculate the smallest common multiple of 255 and 175476.
14915460
What is the common denominator of 119/61140 and -57/34?
1039380
Find the common denominator of -83/8775 and 62/14625.
43875
Calculate the least common multiple of 490 and 489.
239610
Calculate the common denominator of 99/10 and -73/566514.
2832570
What is the common denominator of -73/17120 and 43/24610?
393760
Calculate the least common multiple of 288 and 344.
12384
What is the common denominator of 36/115 and -103/3220?
3220
What is the common denominator of 40/11337 and 97/6?
22674
Calculate the lowest common multiple of 548 and 7124.
7124
Calculate the lowest common multiple of 132 and 101629.
1219548
Find the common denominator of 67/4212 and -51/824.
867672
Calculate the common denominator of -45/12208 and -48/8393.
134288
What is the common denominator of -199/35280 and -1/32340?
388080
Find the common denominator of 19/23954 and -133/66.
790482
Find the common denominator of -13/75 and -38/615.
3075
Calculate the smallest common multiple of 518886 and 96090.
2594430
Find the common denominator of -137/24 and 113/33192.
33192
Calculate the common denominator of 99/344384 and -89/43048.
344384
Calculate the common denominator of -53/140 and 97/150380.
1052660
Calculate the smallest common multiple of 20792 and 920.
103960
What is the common denominator of -59/80554 and -127/324?
13049748
Calculate the least common multiple of 2 and 1101.
2202
What is the least common multiple of 24741 and 99?
272151
Calculate the least common multiple of 261 and 41963.
377667
Find the common denominator of 77/2840 and 43/60.
8520
Calculate the least common multiple of 90168 and 321.
9647976
Find the common denominator of 79/301500 and -95/612.
5125500
Find the common denominator of -197/68040 and 59/281880.
1973160
What is the common denominator of -109/12370 and -28/92775?
185550
Calculate the least common multiple of 5948 and 748.
1112276
Calculate the least common multiple of 3796 and 6862.
178412
Calculate the common denominator of -19/805 and 107/38962.
194810
Calculate the common denominator of 25/9212 and 71/14476.
101332
Find the common denominator of 5/19494 and -151/882.
955206
What is the smallest common multiple of 259 and 25271?
176897
Calculate the lowest common multiple of 138886 and 248.
17221864
Find the common denominator of 82/9765 and 61/13125.
1220625
Calculate the common denominator of 11/13 and -4/1573.
1573
What is the lowest common multiple of 10430 and 1490?
10430
What is the common denominator of -17/21 and -55/1377333?
9641331
What is the common denominator of 31/41684 and 55/6?
125052
Calculate the lowest common multiple of 6604 and 1937.
983996
What is the least common multiple of 123053 and 7?
123053
Calculate the smallest common multiple of 1326 and 95472.
95472
What is the smallest common multiple of 133560 and 525?
667800
What is the least common multiple of 10766 and 1302686?
1302686
Find the common denominator of -28/14391 and 9/494.
546858
Calculate the least common multiple of 372042 and 7.
2604294
What is the lowest common multiple of 219310 and 1274?
1535170
What is the common denominator of 101/30550 and 43/42770?
213850
What is the lowest common multiple of 4370 and 2415?
91770
Find the common denominator of -77/130320 and -17/86880.
260640
Calculate the lowest common multiple of 1512 and 2205.
52920
Calculate the least common multiple of 1360 and 5200.
88400
Calculate the common denominator of -157/843570 and 47/281190.
843570
Find the common denominator of 79/170100 and -127/2430.
170100
What is the common denominator of -3/22 and -37/3228682?
35515502
What is the least common multiple of 5928 and 2888?
112632
What is the least common multiple of 574 and 9020?
63140
What is the common denominator of -50/15111 and 70/3519?
256887
Calculate the least common multiple of 5488 and 18.
49392
Calculate the lowest common multiple of 20960 and 12576.
62880
Find the common denominator of -19/9288 and 41/3411.
3520152
Calculate the least common multiple of 1104 and 33672.
67344
Calculate the lowest common multiple of 30784 and 156.
92352
What is the smallest common multiple of 2 and 1591?
3182
Calculate the common denominator of 23/15292 and -107/18.
137628
What is the lowest common multiple of 222 and 2664?
2664
What is the least common multiple of 10 and 19302?
96510
Calculate the common denominator of 87/2270 and 107/34330.
7792910
Find the common denominator of -117/6400 and 21/44.
70400
What is the smallest common multiple of 8 and 1832838?
7331352
Find the common denominator of 121/227424 and -19/3312.
682272
What is the common denominator of -17/631280 and 123/800?
6312800
Calculate the common denominator of -19/1067 and 47/176.
17072
Calculate the least common multiple of 322 and 1288.
1288
What is the common denominator of -89/50016 and -39/22?
550176
What is the common denominator of 71/104790 and 31/150?
523950
What is the common denominator of 145/744 and -79/8463?
67704
What is the common denominator of 85/14 and 103/528564?
3699948
What is the least common multiple of 8 and 16352?
16352
Calculate the smallest common multiple of 28 and 80.
560
What is the lowest common multiple of 298984 and 672?
3587808
Calculate the smallest common multiple of 153257 and 23578.
306514
Calculate the common denominator of 61/2 and -31/91754.
91754
Find the common denominator of 83/392 and 31/13272.
92904
Find the common denominator of -14/3495 and -137/47532.
237660
What is the common denominator of -49/82122 and 121/246366?
246366
Calculate the smallest common multiple of 1196 and 483.
25116
Calculate the common denominator of -1/84 and 41/1023.
28644
Find the common denominator of 157/22794 and 6/131.
22794
Calculate the smallest common multiple of 720 and 51120.
51120
What is the common denominator of -3/1685 and 53/3795?
1278915
What is the common denominator of -111/220 and -131/62820?
691020
Calculate the common denominator of 121/20688 and -133/48.
20688
What is the smallest common multiple of 52185 and 10650?
521850
Find the common denominator of -12/655633 and 103/2508.
7867596
Calculate the smallest common multiple of 404 and 21614.
43228
Find the common denominator of 115/24 and 5/304.
912
Calculate the lowest common multiple of 30406 and 161.
212842
What is the common denominator of 109/115896 and 71/2530?
13328040
Calculate the common denominator of -35/781287 and 35/18492.
3125148
Find the common denominator of 77/48 and -119/107760.
107760
Calculate the least common multiple of 2928 and 120.
14640
What is the smallest common multiple of 18 and 12276?
12276
Calculate the common denominator of 227/57750 and -13/11.
57750
Calculate the least common multiple of 19642 and 47817.
5833674
Calculate the least common multiple of 7666 and 8.
30664
Calculate the least common multiple of 80099 and 926.
160198
Find the common denominator of 145/9226068 and 34/7.
64582476
Calculate the least common multiple of 308252 and 20.
1541260
Find the common denominator of -47/50820 and -79/20.
50820
Calculate the common denominator of -61/51930 and -119/150.
259650
Calculate the common denominator of 62/255 and 89/3400.
10200
What is the common denomi
|
{
"pile_set_name": "DM Mathematics"
}
|
?
4
What is 1061943 to the power of 1/10, to the nearest integer?
4
What is 1361826 to the power of 1/2, to the nearest integer?
1167
What is 1045885 to the power of 1/2, to the nearest integer?
1023
What is the cube root of 1732997 to the nearest integer?
120
What is 6831203 to the power of 1/8, to the nearest integer?
7
What is 3773050 to the power of 1/6, to the nearest integer?
12
What is the fourth root of 55753 to the nearest integer?
15
What is the cube root of 32619099 to the nearest integer?
320
What is 98266 to the power of 1/9, to the nearest integer?
4
What is 6590604 to the power of 1/3, to the nearest integer?
187
What is 9471227 to the power of 1/4, to the nearest integer?
55
What is 596001 to the power of 1/6, to the nearest integer?
9
What is 991742 to the power of 1/10, to the nearest integer?
4
What is the square root of 470734 to the nearest integer?
686
What is 560799 to the power of 1/2, to the nearest integer?
749
What is the third root of 1631086 to the nearest integer?
118
What is the tenth root of 7448057 to the nearest integer?
5
What is the cube root of 4917551 to the nearest integer?
170
What is 4003134 to the power of 1/3, to the nearest integer?
159
What is 3696130 to the power of 1/2, to the nearest integer?
1923
What is 1137139 to the power of 1/10, to the nearest integer?
4
What is the cube root of 143530 to the nearest integer?
52
What is the square root of 137895 to the nearest integer?
371
What is 131925 to the power of 1/3, to the nearest integer?
51
What is the square root of 5012537 to the nearest integer?
2239
What is 2361620 to the power of 1/2, to the nearest integer?
1537
What is 74634 to the power of 1/5, to the nearest integer?
9
What is the square root of 7744569 to the nearest integer?
2783
What is 100256 to the power of 1/6, to the nearest integer?
7
What is the cube root of 333175 to the nearest integer?
69
What is the sixth root of 1292362 to the nearest integer?
10
What is 108183 to the power of 1/5, to the nearest integer?
10
What is 154502 to the power of 1/2, to the nearest integer?
393
What is 7531795 to the power of 1/2, to the nearest integer?
2744
What is the square root of 306735 to the nearest integer?
554
What is the square root of 25224516 to the nearest integer?
5022
What is the fourth root of 532036 to the nearest integer?
27
What is 123978 to the power of 1/2, to the nearest integer?
352
What is the tenth root of 34858 to the nearest integer?
3
What is 1996543 to the power of 1/8, to the nearest integer?
6
What is 988991 to the power of 1/7, to the nearest integer?
7
What is 4903078 to the power of 1/10, to the nearest integer?
5
What is 1419762 to the power of 1/2, to the nearest integer?
1192
What is the sixth root of 12449984 to the nearest integer?
15
What is the square root of 183783 to the nearest integer?
429
What is 91444 to the power of 1/3, to the nearest integer?
45
What is the third root of 598887 to the nearest integer?
84
What is 38513488 to the power of 1/5, to the nearest integer?
33
What is the third root of 9371435 to the nearest integer?
211
What is the square root of 474022 to the nearest integer?
688
What is the square root of 6846907 to the nearest integer?
2617
What is the third root of 14853696 to the nearest integer?
246
What is 4335831 to the power of 1/4, to the nearest integer?
46
What is the square root of 11755149 to the nearest integer?
3429
What is 8385629 to the power of 1/10, to the nearest integer?
5
What is the square root of 2216944 to the nearest integer?
1489
What is 15154266 to the power of 1/3, to the nearest integer?
247
What is the ninth root of 5807070 to the nearest integer?
6
What is 243305 to the power of 1/2, to the nearest integer?
493
What is 797838 to the power of 1/10, to the nearest integer?
4
What is 4181821 to the power of 1/7, to the nearest integer?
9
What is 215171 to the power of 1/6, to the nearest integer?
8
What is the seventh root of 300631 to the nearest integer?
6
What is 648379 to the power of 1/2, to the nearest integer?
805
What is 265323 to the power of 1/5, to the nearest integer?
12
What is the cube root of 5385193 to the nearest integer?
175
What is 512030 to the power of 1/10, to the nearest integer?
4
What is 5779048 to the power of 1/2, to the nearest integer?
2404
What is 806355 to the power of 1/2, to the nearest integer?
898
What is the square root of 1537365 to the nearest integer?
1240
What is 15226065 to the power of 1/2, to the nearest integer?
3902
What is 182368 to the power of 1/3, to the nearest integer?
57
What is 13675660 to the power of 1/2, to the nearest integer?
3698
What is the seventh root of 1405737 to the nearest integer?
8
What is 16209 to the power of 1/3, to the nearest integer?
25
What is the third root of 764421 to the nearest integer?
91
What is the square root of 11779828 to the nearest integer?
3432
What is 28395847 to the power of 1/5, to the nearest integer?
31
What is 163100 to the power of 1/2, to the nearest integer?
404
What is the square root of 108334 to the nearest integer?
329
What is the eighth root of 24028312 to the nearest integer?
8
What is 39608038 to the power of 1/8, to the nearest integer?
9
What is 4913658 to the power of 1/2, to the nearest integer?
2217
What is the square root of 26645387 to the nearest integer?
5162
What is the square root of 1439965 to the nearest integer?
1200
What is the sixth root of 11964368 to the nearest integer?
15
What is 1738888 to the power of 1/3, to the nearest integer?
120
What is the third root of 1596067 to the nearest integer?
117
What is the third root of 12432026 to the nearest integer?
232
What is 16166986 to the power of 1/4, to the nearest integer?
63
What is the square root of 414753 to the nearest integer?
644
What is 499108 to the power of 1/6, to the nearest integer?
9
What is the cube root of 379183 to the nearest integer?
72
What is 21843351 to the power of 1/2, to the nearest integer?
4674
What is 108820 to the power of 1/4, to the nearest integer?
18
What is the fourth root of 581210 to the nearest integer?
28
What is the ninth root of 389360 to the nearest integer?
4
What is the cube root of 343770 to the nearest integer?
70
What is 184884 to the power of 1/3, to the nearest integer?
57
What is 1008811 to the power of 1/2, to the nearest integer?
1004
What is the cube root of 1107612 to the nearest integer?
103
What is the square root of 1327125 to the nearest integer?
1152
What is 1242423 to the power of 1/2, to the nearest integer?
1115
What is the sixth root of 204828 to the nearest integer?
8
What is the square root of 328489 to the nearest integer?
573
What is the cube root of 27317236 to the nearest integer?
301
What is the third root of 415554 to the nearest integer?
75
What is the third root of 108543 to the nearest integer?
48
What is the square root of 251417 to the nearest integer?
501
What is the fourth root of 1724078 to the nearest integer?
36
What is 574923 to the power of 1/3, to the nearest integer?
83
What is 517429 to the power of 1/2, to the nearest integer?
719
What is 286902 to the power of 1/3, to the nearest integer?
66
What is the square root of 7989283 to the nearest integer?
2827
What is 1535800 to the power of 1/3, to the nearest integer?
115
What is 249373 to the power of 1/10, to the nearest integer?
3
What is 6352176 to the power of 1/2, to the nearest integer?
2520
What is 4726466 to the power of 1/3, to the nearest integer?
168
What is 3431308 to the power of 1/2, to the nearest integer?
1852
What is the sixth root of 1221678 to the nearest integer?
10
What is 1600982 to the power of 1/3, to the nearest integer?
117
What is the square root of 797458 to the nearest integer?
893
What is 325751 to the power of 1/2, to the nearest integer?
571
What is the cube root of 275693 to the nearest integer?
65
What is the tenth root of 450674 to the nearest integer?
4
What is the cube root of 2139086 to the nearest integer?
129
What is the eighth root of 393454 to the nearest integer?
5
What is 8079 to the power of 1/10, to the nearest integer?
2
What is 30366104 to the power of 1/2, to the nearest integer?
5511
What is 13886791 to the power of 1/5, to the nearest integer?
27
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
What is d(x(b))?
-2*b**2 + 74*b
Let h(y) = -17*y. Let o(k) be the second derivative of -k**4/6 + 45*k. What is o(h(u))?
-578*u**2
Let w(j) = -9*j + 17. Let m(z) = -14*z. Give m(w(h)).
126*h - 238
Let g(c) be the first derivative of -c**2 - 8. Let f(m) = -11*m - 2. Let v(n) = 12*n + 3. Let t(x) = -3*f(x) - 2*v(x). Calculate t(g(w)).
-18*w
Let f(z) = 9*z. Let i(d) be the first derivative of -d**3/3 + 7. Give f(i(l)).
-9*l**2
Let p(s) = 2*s**2. Let z(m) = 12*m**2 + 52*m - 3. Calculate z(p(v)).
48*v**4 + 104*v**2 - 3
Let q(n) be the first derivative of -5*n**3/6 - 3*n + 5. Let d(i) be the first derivative of q(i). Let o(c) = c. Calculate d(o(h)).
-5*h
Let t = -6 + 8. Let g(r) = -r - t*r + 0*r + 2*r. Let z(n) = -n. Calculate g(z(m)).
m
Suppose 4 = 5*d - 6. Let i(b) = -2*b**2 + 2*b**d + b**2. Let o(y) = -3*y. Give o(i(v)).
-3*v**2
Let w(m) = -14*m + 201. Let t(v) = v**2. Give w(t(d)).
-14*d**2 + 201
Suppose -4*t = -2*t. Suppose -3*w + 3*u = t, -w + 16 - 4 = 5*u. Let d(s) = -3*s + w*s + 2*s. Let k(q) = -2*q. What is k(d(r))?
-2*r
Let y(w) = 2*w**2. Let g(r) = -7*r**2 - 6. Suppose -4*p - 12 = -6*p. Let n(z) = -13 + 8*z - 15*z**2 - 8*z. Let v(a) = p*n(a) - 13*g(a). Calculate y(v(i)).
2*i**4
Let u(c) = -c**2. Let l(i) = -1955*i**2. What is u(l(s))?
-3822025*s**4
Let z(j) = 2*j**2 - 3*j. Let g(l) = 8*l + 5. Let p(x) = x**2 + 8*x + 6. Let h(y) = -6*g(y) + 5*p(y). Let t(m) = -3*h(m) + 8*z(m). Let i(w) = w**2. Give t(i(d)).
d**4
Let o be 18/27 + (-49)/(-3). Let g(a) = o*a**2 - a**2 - 2*a**2. Let p(m) = -m. Determine g(p(q)).
14*q**2
Let w(r) = 34*r**2. Let o(l) = 220*l**2. Give w(o(z)).
1645600*z**4
Let f(m) = -3*m + 4. Let p(x) = -4*x + 5. Let y(o) = -5*f(o) + 4*p(o). Let s be (-4)/(-10) + 18/5. Let n(w) = -s + 4 - 3*w. What is y(n(a))?
3*a
Let f(x) = -4*x - 2025. Let b(k) = -k**2. Calculate f(b(i)).
4*i**2 - 2025
Let v(s) = -521*s**2. Let y(r) = r**2. Give y(v(t)).
271441*t**4
Let k(m) = 2*m. Let g(r) = -14*r - 367. What is k(g(v))?
-28*v - 734
Let p(g) = g**2. Suppose 3*x = -x - 8, -5*l = 2*x - 21. Let v(n) = -13 + l*n**2 + 13. Calculate p(v(s)).
25*s**4
Let u(h) = 2*h. Let o(g) = 21*g**2 - 26*g. Determine u(o(j)).
42*j**2 - 52*j
Let y(j) = -14*j. Let z(d) be the third derivative of d**5/12 - 18*d**2. Give z(y(t)).
980*t**2
Let x(f) = 8*f**2. Let j(k) = 69*k**2. Calculate x(j(r)).
38088*r**4
Let q(v) be the third derivative of -v**8/2880 - v**5/60 - 2*v**2. Let s(k) be the third derivative of q(k). Let y(l) = 2*l**2. Determine s(y(b)).
-28*b**4
Let p(c) = -29*c**2. Let w(o) = 19*o**2. Let x(z) = 5*p(z) + 8*w(z). Let v(i) = -i. What is v(x(n))?
-7*n**2
Let j(m) be the second derivative of -m**4/12 + 17*m. Let s(o) = -6*o**2. What is j(s(n))?
-36*n**4
Let o(d) = -591*d**2. Let u(f) = 3*f. Calculate o(u(p)).
-5319*p**2
Let y be (0/2)/(1 + 1). Let b(k) = -k - k + k + y. Let j(i) be the second derivative of i**3/3 + i. Calculate j(b(l)).
-2*l
Let k(f) = -26*f - 2. Let g(n) = 2*n**2 + 56*n. Calculate g(k(s)).
1352*s**2 - 1248*s - 104
Let a(o) = 38*o**2. Let n(q) = 2*q**2 - 3*q. Give a(n(g)).
152*g**4 - 456*g**3 + 342*g**2
Let h(w) = 1 - 1 - 2*w**2. Let a = -2 - -6. Let u(i) = 5*i**2 - a*i**2 + i**2. Calculate h(u(j)).
-8*j**4
Let b(n) = 544*n. Let d(r) = -2*r. Calculate b(d(m)).
-1088*m
Let n(c) = -6 + 3*c + 6. Let s(w) be the first derivative of -w**3/3 - 1. Calculate n(s(p)).
-3*p**2
Let r(u) = 2410*u**2. Let t(m) = -m. Give r(t(c)).
2410*c**2
Let k(a) = -58*a**2. Let d(v) = -110*v. Determine d(k(n)).
6380*n**2
Let j(f) = -f**2. Let s(v) = -13*v**2 - 9*v + 9. Let m(w) = -3*w**2 - 2*w + 2. Let x(n) = -18*m(n) + 4*s(n). Calculate x(j(o)).
2*o**4
Let o(v) = 2*v**2. Let j(w) = 2 - 32*w**2 + 27*w**2 - 2. Calculate o(j(f)).
50*f**4
Let g(a) = 156*a**2. Let b(p) = 2*p. Give b(g(v)).
312*v**2
Let h(q) = 66*q - 66*q + q**2. Let s(f) = 9*f**2. Give h(s(i)).
81*i**4
Let o(b) = 89*b. Let f(v) = -17*v**2 + 3. What is o(f(y))?
-1513*y**2 + 267
Let j(s) be the second derivative of s**3/3 - 7*s**2/2 - 17*s. Let y(m) = 2*m**2. Give j(y(u)).
4*u**2 - 7
Let r(z) = 3*z - 2. Let f(a) = -16*a + 11. Let k(n) = -4*f(n) - 22*r(n). Let b(x) = -4*x. Let p(d) = 3*d. Let q(i) = -4*b(i) - 5*p(i). Determine k(q(w)).
-2*w
Let j(p) = -2*p. Let s(h) = 4*h**2 + 4*h. Let w(l) = -2*l. Let c(i) = -2*s(i) - 4*w(i). What is c(j(t))?
-32*t**2
Let a(x) = -2*x**2. Let i(h) = h**2 - 30*h - 7. Calculate i(a(j)).
4*j**4 + 60*j**2 - 7
Let y(a) be the first derivative of 2*a**3/3 + 1. Let x be 0/((-2)/(-2 - -3)). Let b(f) = 0*f - f + x*f. Calculate b(y(h)).
-2*h**2
Let y(s) be the third derivative of -5*s**4/24 + 2*s**2. Let c(q) = -3*q**2. Calculate c(y(t)).
-75*t**2
Let s(b) be the first derivative of -b**3/3 + 37. Let m(i) = -8*i. Determine m(s(u)).
8*u**2
Let y(w) be the first derivative of w**4/12 - 2*w - 3. Let a(v) be the first derivative of y(v). Let i(f) = -f. What is a(i(u))?
u**2
Let d(a) = 13*a**2. Let y(z) = -7*z**2. Let f(p) = 6*d(p) + 11*y(p). Let t(r) be the first derivative of 3 - 4 - 3*r**2 + 4*r**2 + 4. Give t(f(g)).
2*g**2
Let i be (-3)/(-6)*(-3)/(-15)*0. Let o(g) be the second derivative of 0*g**2 - 1/12*g**4 + 0*g**3 + i + g. Let c(u) = 4*u**2. Calculate o(c(w)).
-16*w**4
Let h(n) = -3*n. Let f(j) be the third derivative of j**4/24 - j**2. Calculate h(f(i)).
-3*i
Let u(b) = 20*b. Let w(m) = -214*m. Give w(u(z)).
-4280*z
Let d(n) = -7*n. Let l(p) = 523*p. Determine l(d(w)).
-3661*w
Let l(w) = -399*w**2 - 1. Let u(q) = 8*q**2. Give l(u(o)).
-25536*o**4 - 1
Let r(g) = 32*g. Let y(n) = -3*n**2. What is r(y(f))?
-96*f**2
Let r(q) be the third derivative of -q**5/30 - 2*q**2. Suppose -2*n + 7*n - 2*d - 8 = 0, -4*d + 4 = 0. Let j(l) = -2 + 0*l + 2*l + n. What is r(j(w))?
-8*w**2
Let g(z) be the first derivative of -10*z**2 + 19. Let x(r) = r. Calculate x(g(b)).
-20*b
Let l(u) = 26*u. Let b(a) = -a + 2*a - 3*a. What is b(l(k))?
-52*k
Let h(u) = -u**2. Let y(c) = 1. Let k(j) = -2*j - 2. Let r(a) = a + 1. Let i(t) = -k(t) - 5*r(t). Let q(z) = -i(z) - 3*y(z). Determine h(q(d)).
-9*d**2
Suppose 0 = -3*r - 3*h + 24, -12 = -2*r - h - 3*h. Let a(n) = -5*n**2 + r*n**2 + 2*n**2. Let q(o) = -o**2. Give a(q(g)).
7*g**4
Let q(s) = -2*s. Let j(i) = -6*i**2 - 9*i + 9. Let a(k) = 3*k**2 + 4*k - 4. Let w(b) = -9*a(b) - 4*j(b). What is w(q(y))?
-12*y**2
Let p(x) = -x + 7. Let k(j) = 2. Let o(n) = -7*k(n) + 2*p(n). Let m(g) = -3*g**2. Calculate m(o(a)).
-12*a**2
Let d(a) = -6*a. Let z(b) = 4*b + 4*b - 4*b - b. What is d(z(q))?
-18*q
Let q(i) = -i**2. Let k = 1 + 0. Let h(y) = -k - 5*y + 3*y + 1. Calculate h(q(m)).
2*m**2
Let z(t) = -t**2 + 1. Let j(x) = 17*x**2 - 11. Let w(a) = 2*j(a) + 22*z(a). Let u(h) = 2*h**2. Determine u(w(r)).
288*r**4
Let s(w) be the third derivative of 0*w + 1/12*w**4 + 0*w**3 + 3*w**2 + 0. Let r(c) be the second derivative of c**3/6 + c. Give r(s(h)).
2*h
Let l(a) = -2*a**2. Let r(n) be the second derivative of n**4/12 + n. Let u(h) = -l(h) - r(h). Let c(d) = d. What is c(u(j))?
j**2
Let t(p) = 14*p. Let n(h) = -8*h. Let j(i) = -5*n(i) - 3*t(i). Let q(f) = 2*f**2 - f. Give j(q(l)).
-4*l**2 + 2*l
Let h(b) = 5*b + 6. Let c(z) be the third derivative of z**5/30 + 14*z**2. Calculate h(c(w)).
10*w**2 + 6
Let o(l) = l**2. Let h(r) = -5*r. Let x(z) be the second derivative of 3*z**3/2 - 2*z. Let m(c) = 10*h(c) + 5*x(c). Calculate m(o(v)).
-5*v**2
Let x(b) = -2*b**2. Let w(a) be the third derivative of a**8/2880 - 7*a**5/60 + 5*a**2. Let f(q) be the third derivative of w(q). What is f(x(g))?
28*g**4
Let t(v) = -v**2. Let m(a) = 67*a**2 - 15*a**2 + 0*a**2. Give t(m(q)).
-2704*q**4
Let i(u) = 3*u**2. Let f(z) = 16*z. Let q(l) = -209*l. Let v(w) = -77*f(w) - 6*q(w). Calculate i(v(o)).
1452*o**2
Let m(h) = 5*h**2 + 1. Let c(j) = -6*j**2 - 1. Let p(i) = -4*c(i) - 5*m(i). Let u(d) be the first derivative of p(d). Let g(t) = 4*t. Give g(u(r)).
-8*r
Let f(n) = 10*n**2 - 18*n**2 + 6*n**2. Let j(z) = -z**2 - z**2 + 3*z**2. Determine j(f(q)).
4*q**4
Let r(f) = -37 + 0*f**2 - 4*f**2 + 37. Let i(q) = -11*q. What is i(r(y))?
44*y**2
Let w(u) = -u**2. Let i(m) be the first derivative of m**3/3 + 19*m**2/2 + 18. Determine i(w(b)).
b**4 - 19*b**2
Suppose 0*a + 12 = 4*h + a, 2*h - 6 = 4*a. Let r(t) = 9*t - h*t**2 - 9*t. Let i(m) = -2*m**2. Calculate i(r(y)).
-18*y**4
Let f(h) be the second derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
286
What is prob of sequence jck when three letters picked without replacement from jkkncfkjjjk?
8/495
What is prob of sequence fomv when four letters picked without replacement from {q: 1, w: 1, f: 2, m: 1, o: 3, v: 4}?
1/495
Calculate prob of sequence ybby when four letters picked without replacement from {b: 2, t: 1, e: 1, s: 1, y: 2}.
1/210
What is prob of sequence si when two letters picked without replacement from oxszi?
1/20
Two letters picked without replacement from vcv. Give prob of sequence vv.
1/3
What is prob of sequence wwl when three letters picked without replacement from {w: 3, l: 3}?
3/20
Two letters picked without replacement from zzkzzskzskzsz. Give prob of sequence ks.
3/52
Two letters picked without replacement from {x: 4, m: 3, f: 10, n: 2}. What is prob of sequence ff?
5/19
Three letters picked without replacement from {m: 1, a: 2, i: 1, r: 1, g: 3, j: 11}. Give prob of sequence aam.
1/2907
Four letters picked without replacement from {k: 5, i: 8}. What is prob of sequence iikk?
28/429
Three letters picked without replacement from {e: 2, p: 3, r: 6, h: 4}. Give prob of sequence eep.
1/455
What is prob of sequence ll when two letters picked without replacement from zuuuzduuuullduul?
1/40
Two letters picked without replacement from lqooylloogl. What is prob of sequence lq?
2/55
What is prob of sequence dbb when three letters picked without replacement from ildililllllbilbllb?
1/816
Two letters picked without replacement from mmmmmzmzmzm. Give prob of sequence zz.
3/55
Two letters picked without replacement from hymhhmbvhvyvvv. What is prob of sequence yv?
5/91
Two letters picked without replacement from {a: 9, y: 5}. Give prob of sequence ay.
45/182
What is prob of sequence iiqq when four letters picked without replacement from {q: 6, i: 2}?
1/28
Four letters picked without replacement from qqiiqqqq. What is prob of sequence qqiq?
1/7
Two letters picked without replacement from oooqqoqooo. Give prob of sequence oq.
7/30
Four letters picked without replacement from {v: 6, r: 2, k: 3, u: 6, z: 2, m: 1}. Give prob of sequence rkuv.
3/1615
Four letters picked without replacement from kkkkkkkkkkkmmkmkkkm. Give prob of sequence kmkk.
455/3876
What is prob of sequence tv when two letters picked without replacement from {t: 1, q: 1, z: 2, v: 4}?
1/14
What is prob of sequence vv when two letters picked without replacement from {g: 16, v: 4}?
3/95
Calculate prob of sequence uxx when three letters picked without replacement from wxxxxwlxwwuxwwuxu.
21/680
What is prob of sequence vv when two letters picked without replacement from {g: 3, v: 3, t: 1}?
1/7
Calculate prob of sequence iiii when four letters picked without replacement from {i: 6}.
1
What is prob of sequence rz when two letters picked without replacement from lsssllzsrdddlls?
1/210
Two letters picked without replacement from dpccxoo. What is prob of sequence od?
1/21
What is prob of sequence cp when two letters picked without replacement from {e: 1, c: 1, p: 1}?
1/6
What is prob of sequence jt when two letters picked without replacement from {t: 4, j: 6}?
4/15
What is prob of sequence zz when two letters picked without replacement from zzoozqoboqzb?
1/11
What is prob of sequence iiii when four letters picked without replacement from {p: 4, i: 6}?
1/14
Three letters picked without replacement from {a: 2, c: 7, t: 6}. Give prob of sequence acc.
2/65
What is prob of sequence yd when two letters picked without replacement from yrrd?
1/12
Three letters picked without replacement from pyspyppyyypyysyyyyyy. What is prob of sequence syp?
13/684
Two letters picked without replacement from kvpkzkbkbzvzkbvkvvph. What is prob of sequence vb?
3/76
Three letters picked without replacement from {k: 1, y: 4, r: 2, z: 2}. Give prob of sequence ryz.
2/63
Three letters picked without replacement from cff. What is prob of sequence fcf?
1/3
What is prob of sequence ajpa when four letters picked without replacement from {a: 3, j: 2, m: 2, p: 8}?
4/1365
What is prob of sequence unp when three letters picked without replacement from dtudtttpennepu?
1/273
Three letters picked without replacement from {y: 3, h: 1, z: 1, b: 1, f: 1}. What is prob of sequence zby?
1/70
Calculate prob of sequence qql when three letters picked without replacement from {l: 6, q: 4}.
1/10
Calculate prob of sequence tl when two letters picked without replacement from {t: 6, a: 3, l: 6}.
6/35
Calculate prob of sequence ee when two letters picked without replacement from {e: 8, c: 2}.
28/45
Two letters picked without replacement from {p: 2, s: 3, f: 3, e: 1, i: 1}. Give prob of sequence pe.
1/45
Calculate prob of sequence ggg when three letters picked without replacement from ggigii.
1/20
What is prob of sequence ug when two letters picked without replacement from uuguutcec?
1/18
Three letters picked without replacement from guguugguggguu. What is prob of sequence gug?
21/143
Four letters picked without replacement from {k: 5, q: 2, j: 4, y: 2}. Give prob of sequence jqyq.
2/2145
What is prob of sequence ul when two letters picked without replacement from {l: 5, s: 4, u: 8}?
5/34
Calculate prob of sequence hg when two letters picked without replacement from {h: 2, w: 2, i: 1, g: 1, v: 1}.
1/21
Four letters picked without replacement from cvvdvccccccvvvzzcv. Give prob of sequence cdzc.
7/4590
Three letters picked without replacement from nsnssssnssnsnnnsssnn. Give prob of sequence nnn.
7/95
Four letters picked without replacement from {a: 2, x: 5, z: 1, q: 1}. Give prob of sequence zqxa.
5/1512
Three letters picked without replacement from {p: 2, o: 1, v: 1, b: 7, j: 2, g: 1}. Give prob of sequence ovp.
1/1092
Calculate prob of sequence fka when three letters picked without replacement from {m: 4, t: 7, a: 1, k: 3, f: 2}.
1/680
Four letters picked without replacement from {m: 3, v: 1, z: 3, a: 5}. What is prob of sequence zzza?
1/396
Four letters picked without replacement from ttzzzkzxykykxkkzxrz. Give prob of sequence xxtk.
5/7752
Calculate prob of sequence uh when two letters picked without replacement from mmtumtmmhhmvvv.
1/91
Three letters picked without replacement from {m: 10, c: 4, k: 1, i: 3}. Give prob of sequence mmc.
5/68
Three letters picked without replacement from {q: 1, h: 7, u: 2, k: 8}. Give prob of sequence uhq.
7/2448
Calculate prob of sequence ppo when three letters picked without replacement from ohpxoop.
1/35
Calculate prob of sequence fqq when three letters picked without replacement from {q: 2, i: 3, f: 4}.
1/63
Two letters picked without replacement from {f: 2, k: 8, v: 4}. What is prob of sequence vv?
6/91
Three letters picked without replacement from {f: 1, o: 6, p: 1, i: 1, g: 2, r: 4}. Give prob of sequence orr.
12/455
Four letters picked without replacement from cppip. What is prob of sequence cipp?
1/20
Three letters picked without replacement from ppppppppp. What is prob of sequence ppp?
1
What is prob of sequence hvq when three letters picked without replacement from bhhbbvqhhb?
1/180
Three letters picked without replacement from bsbbbbbbcccbbx. Give prob of sequence css.
0
What is prob of sequence awga when four letters picked without replacement from {w: 1, r: 1, a: 5, g: 2}?
5/378
Three letters picked without replacement from diqjjdilildjjdiijzd. Give prob of sequence ijd.
125/5814
What is prob of sequence mm when two letters picked without replacement from {n: 4, m: 2}?
1/15
Calculate prob of sequence vv when two letters picked without replacement from {b: 1, v: 7}.
3/4
Four letters picked without replacement from {f: 6, b: 2, u: 8, o: 2}. Give prob of sequence uffu.
7/306
Four letters picked without replacement from aovoooavavo. What is prob of sequence avaa?
1/440
Four letters picked without replacement from fculzsl. What is prob of sequence lczl?
1/420
Two letters picked without replacement from {c: 1, i: 1, f: 3, w: 2, j: 1, g: 4}. Give prob of sequence wf.
1/22
Calculate prob of sequence wdo when three letters picked without replacement from {d: 2, w: 1, o: 1}.
1/12
Three letters picked without replacement from tttthhgthgthhtthttrr. Give prob of sequence rhr.
1/570
Calculate prob of sequence ih when two letters picked without replacement from {i: 10, h: 1, t: 3, a: 2}.
1/24
Thr
|
{
"pile_set_name": "DM Mathematics"
}
|
olve -b - r + 1 = 0 for b.
-1
Let b(z) = -z**2 - 15*z + 11. Let l be b(-16). Let f be (3/l)/((-2)/10). Suppose -3*x = 4*s + f, 2*s - x + 6*x + 5 = 0. Solve s = -5*k + 1 + 4 for k.
1
Let i = 0 + 3. Suppose -c + 15 = 12. Suppose r + 12 - 2 = c*f, 0 = -5*f + 5*r + 20. Solve -6 = -f*k + i for k.
3
Let f(w) = -w**3 - 4*w**2 - 2*w + 7. Let d be f(-3). Let y be 3/d - (-180)/16. Let h = y - 10. Solve h*k = -0*k + 10 for k.
5
Suppose -5*o - 396 = 2*u - 389, -o = 3*u - 22. Solve 39*p - 180 = u*p for p.
6
Suppose -2*u + 1 = -u, -141 = -2*c + 3*u. Suppose 4*k - j - 49 = 0, -3*k - 4*j + 18 - 5 = 0. Suppose -3*t - c = -k*t. Solve 5*v = -t - 11 for v.
-4
Let w = -285 + 256. Let u(v) = v**2 + 23*v - 171. Let x be u(w). Solve x*a = -a + 20 for a.
5
Suppose 156 = -65*v + 78*v. Solve 30*u = 27*u + v for u.
4
Let b(w) = -17*w - 339. Let q be b(-21). Solve 5*x = q*x - 39 for x.
3
Let c(a) = a**3 + 6*a**2 - 10*a - 17. Let q(k) = -k**3 + 9*k**2 - 18*k + 7. Let b be q(5). Suppose 8*g = b*g + 63. Let i be c(g). Solve -1 = 5*s - i*s for s.
-1
Suppose -33*j = 209 - 869. Suppose 2*p - p = -z + 7, 2*p = 5*z - 21. Solve z*a + j = a for a.
-5
Let n(s) = -s**2 - 12*s + 7. Let y be n(-17). Let t = -46 - y. Suppose t = k - u + 6*u, -28 = -4*k + 5*u. Solve 0*a + 3*a - k = 0 for a.
4
Let i(q) = q**3 + 11*q**2 + 11*q + 27. Let m be i(-9). Let u = -90 + m. Solve u = -2*h + 11 - 9 for h.
1
Suppose -401*b + 402*b = 2. Solve -b*i - 31 = -33 for i.
1
Suppose 992 = -33*w + 1008 + 2129. Solve 10*d - 23*d = w for d.
-5
Let n be ((-75)/125)/((-3)/2785). Let d = n + -552. Solve 23 = -d*m + 38 for m.
3
Suppose 82*y - 9*y - 327 = 1498. Solve 8*a + y = 3*a for a.
-5
Let m = 26 + -24. Suppose r - p = 11, 32 = 3*r + m*p - 6*p. Let j be ((-994)/r)/(-7) + (-7)/(-42). Solve -4*h = -0*h + j for h.
-3
Suppose 0 = -2*m - 5*f - 128, 5*m + 217 = 2*f - 132. Let y = -34 - m. Suppose -5*w + y = -55. Solve -5*t + w = -2 for t.
4
Suppose -w + 31 = 5*t, t + 7 = 3*w - 6. Let n(r) be the first derivative of 2*r**2 - 14*r + 162. Let x be n(w). Solve -g + 6*g - x = 0 for g.
2
Suppose 2*x = -2*f - 2*x + 4, -3*f + 2 = 2*x. Suppose f = -3*l - 3, 0*g + 5*l = -4*g + 111. Solve -11 = 8*d + g for d.
-5
Let d be 50/2 + 4 + -4. Suppose 5*m - 3*a - 8 = 0, -5*m + 13 - 9 = -4*a. Solve -g + d = m*g for g.
5
Let c(j) = -j + 4*j - 6615 + 6560. Let r be c(20). Solve r*v - 21 + 1 = 0 for v.
4
Let c(k) = -k**2 - 25*k - 50. Let p be c(-22). Let t be 20/(-160) - (-98)/p. Solve t*x + 7 = -x for x.
-1
Let t = -186 + 173. Let w(k) be the first derivative of k**4/4 + 14*k**3/3 + 15*k**2/2 + 28*k + 2. Let o be w(t). Solve o*h + 1 - 7 = 0 for h.
3
Let r(m) = m**2 + 2*m - 82. Let s be r(9). Solve s*k = 26*k - 45 for k.
5
Let d = 246 - 455. Let s = 253 + d. Solve 0 = -4*q - 24 + s for q.
5
Let r be 9/9*(-3 + 0) + (3 - 0). Solve -47*v + 18*v = r for v.
0
Let m(x) = x**2 + 3*x + 3. Let u be m(-3). Let n(l) = u*l + 6*l**2 - l**3 - l**2 + 3 + 3*l. Let v be n(6). Solve -q + v = -1 for q.
4
Suppose 5400*h - 5393*h = 14. Let f(r) = -3*r + 4. Let b be f(-2). Suppose -2*o + 0*o = 5*u + b, -4*o = u + 20. Solve 4*k - h*k = u for k.
0
Suppose 42 = 2*x - 4*b, 87 + 54 = 5*x + 2*b. Let z be 292/10 + (-7)/35 + 0. Let m = z - x. Solve m*q - q = 0 for q.
0
Let k be -1 + 0 + (1 - -2). Suppose k*l - 30 = -l. Suppose 3*t - l = 2*y, 3*t + 4*y + y + 25 = 0. Solve j = -t*j + 4 for j.
4
Suppose 2*m - 5*h + 16 = 6, 2*m + 2*h = 4. Let l be (-14 + m)*(-252)/98. Let s = l + -26. Solve 0*j = -2*j - s for j.
-5
Suppose -c + 2*d - 47 = -75, -d - 59 = -3*c. Solve -c*u + 24*u = -18 for u.
-3
Suppose 5*r - 5*u = -25, u + 4 = 3*u. Let f = r - -5. Suppose -1265*b + 6624 = -208*b + 47*b. Solve -f*n = -b*n for n.
0
Suppose -4*f = -17 - 11. Suppose -5*b + 172 = -s, -f*b + 2*s = -2*b - 169. Suppose 0 = 4*v - b + 15. Solve 0 = -0*n + v*n + 20 for n.
-4
Let l(g) be the first derivative of -34*g + 26 + 1/3*g**3 + 9/2*g**2. Let y be l(-12). Solve -12 + y = 2*j for j.
-5
Let i(s) = -25*s + 2176. Let f be i(86). Solve 18*o - 32 = f*o for o.
-4
Let m(v) = -6*v - 1. Let i be m(-1). Suppose -i*u - 5 = -5. Solve -3*c + 9*c = u for c.
0
Let r(a) = -2*a**2 + 62*a - 286. Let d be r(25). Solve 470 - 400 = d*h for h.
5
Suppose -8*h = -3*h + 4*a - 5, -4*a = 4*h - 4. Let q(p) = p**3 - 5*p**2 + 16*p - 130. Let g be q(6). Let y = h + g. Solve 2*k + y*k - 25 = 0 for k.
5
Let j be -161 - ((-36)/(-45) + (-1)/(-5)). Let h be (j/4)/((12/3)/8). Let c = 85 + h. Solve -c*p - 10 = p for p.
-2
Let h = -854 - -404. Let f = -424 - h. Solve 26 = 3*x + f for x.
0
Let n = 46 - 46. Let p(s) = -s**3 + 13*s**2 - 4*s - 6. Let f be p(12). Let h be (-1)/(3/18 - 33/f). Solve -5*z + 0*z + h = n for z.
1
Suppose -15 = 5*t, -3*b + 49 = 3*t + 10. Suppose 34*j - 150 = -b*j. Solve -6 + 21 = -j*i for i.
-5
Let z(d) = -19*d + 385. Let u be z(10). Solve 212*f - 51 = u*f for f.
3
Let a(p) = -p**3 + 10*p**2 - 5*p - 42. Let d be a(7). Solve -d*l + 63*l + 35 = 0 for l.
5
Suppose 0 = 6*j - 3*j - 45. Let c be ((-69)/(-46))/((-6)/(-8)). Suppose -3*p - 3*t - j = -8*p, c*p - 6 = 4*t. Solve -n - p = -4 for n.
1
Suppose -62*t + 38*t = -48. Suppose b - 13 + 0 = -t*m, 17 = 4*b + m. Solve -2*g + b = 7 for g.
-2
Let x(h) = h**3 + 10*h**2 + 7*h - 18. Let w = 45 + -40. Suppose 5*n + 33 = -2*o, -30 = 5*o - w*n - 0. Let p be x(o). Solve 3*b - b = p for b.
0
Let i = 33 - 17. Suppose -2*c = -i + 10. Solve -c*s - 15 = 2*s for s.
-3
Suppose 3*p = 1 + 14. Suppose 5*t - p = -4*m, -5*t + 30 = m - 2*m. Suppose -3*d - q = -35, 4*q + q = -5*d + 65. Solve -14 - d = t*z for z.
-5
Let f(d) = d**3 + 11*d**2 - 2*d - 103. Let g be f(-9). Solve -g*x + 198 = -11*x for x.
3
Let b(u) = -20*u + 153. Let z be b(8). Let r be 5*z/(63/(-27)). Solve 0 = -5*y - r + 5 for y.
-2
Suppose -11*n = -96*n + 4*n + 810. Solve -n*j = -59 - 1 for j.
6
Suppose 2*p - 51 + 1 = 0. Let k = -200 + 65. Let y be 2/9 - 375/k. Solve p = -y*h - 2*h for h.
-5
Suppose 62 = 2*n - 3*o, -4*n = -0*o - 2*o - 116. Solve n*d = 3*d + 125 for d.
5
Let i(o) = 26*o - 59. Let c be i(9). Let v = -170 + c. Solve -v*k = -k - 16 for k.
4
Suppose -3*g + 2*h + 2*h + 30 = 0, -5*g = -5*h - 45. Let m be g/(-21) + (-30)/(-7). Suppose 636 = 86*q + 98*q - 468. Solve m*b - 2 = -q for b.
-1
Let h be -8*(4 - (-258)/(-48)) - -592. Solve 620*f + 17 = h*f for f.
-1
Suppose 6*r + 660 = 12*r + 4*r. Solve 13*i + 1 - r = 0 for i.
5
Suppose 0*x + 2*v + 52 = 5*x, 0 = 3*x + 3*v - 48. Solve x*l - 9*l = 2*l for l.
0
Let o = -4215 + 4240. Solve -3*a = o*a - 28 for a.
1
Suppose 23 = -3*g + 29. Suppose 30 = g*d + 4*a, -4*a = -5*d + 3*d - 10. Suppose -5*r - 1 = 3*z, d*z - 4*r + 3*r = 17. Solve -z*c + c + 8 = 0 for c.
4
Suppose -2*h + 1890 = 13*h. Let f = -111 + h. Solve -5*i - f + 40 = 0 for i.
5
Let z = 21 + -19. Suppose h = 8 - 5, 5*p + 4*h = 82. Suppose 2*d = -5*d + p. Solve z*l = -d - 4 for l.
-3
Let s = 678 - 650. Solve -108 = 34*m + s for m.
-4
Let u(j) = 291*j + 15727. Let s be u(-54). Solve s*d = 31 - 18 for d.
1
Let s be ((-4)/(-6))/((-3)/(-9)). Let m = -38 + 44. Suppose -5*k = m*k - 33. Solve p - s*p = -k for p.
3
Suppose -3*s + 4*s + 3*x - 11 = 0, -4 = -2*s + 3*x. Let b be ((-14)/(-3) - s)/((-1)/(-159)). Let l = b + 58. Solve -4*r = -l*r + 3 for r.
3
Suppose 877 - 12913 = -354*p. Solve 3*b - p = -16 for b.
6
Let n(x) be the first derivative of 3*x**2 - 102*x + 86. Let t be n(18). Solve 15 + 15 = t*i for i.
5
Suppose -9 = -4*k + 3*p + 2, 4*p = -k - 2. Suppose z + 25 = -8*t + 3*t, 0 = -5*z + k*t + 10. Solve 0*i + 3*i - 9 = z for i.
3
Suppose 4 = d - 10. Let w = d - 6. Suppose 5*i = -5, -4*h - 4*i = -5*h + 7. Solve -5*v + w = -h*v for v.
4
Let f(a) = a + 18. Suppose -6*x = -x - d + 69, -5*d - 61 = 4*x. Let y be f(x). Let o be y + 1 + (-8 - -4). Solve -o - 3 = -j for j.
4
Let m(x) = x**2 - 47*x + 91. Let r(o) = -11*o + 1. Let u be r(-4). Let h be m(u). Solve -4*c + h = 21 for c.
-5
Let u = -94 + 115. Suppose -8*o + 16 = 4*n - 4*o, 4*n + 3*o - u = 0. Solve n = -5*s - 11 for s.
-4
Let s(v) = 154*v + 164*v - v**2 + 5 - 334*v. Let p be s(-16). Solve -6*d + d + p = 0 for d.
1
Let k be (0 + 1)*(0 + 9). Let v(a) = -a**3 - 38*a**2 + 369*a + 48. Let d be v(-46). Solve k = d*z + 1 for z.
4
Let k = -231 - -243. Suppose 0 = k*m + 5*m - 34. Solve m*o = 8*o - 12 for o.
2
Let u(x) = 3*x**2 + 12*x + x**2 - 11*x - 4 + x**3. Let o be u(-3). Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
d by 46.
44
Let t be (-2)/7 + (-675)/63. Let h = -1 - t. Let y = h + -1. Calculate the remainder when 25 is divided by y.
7
Let l = -42 + 60. Let i(q) = 2*q**3 - 2*q**2 + 2*q - 1. Suppose x + 12 = 2*z + 3*z, -z + 10 = -4*x. Calculate the remainder when l is divided by i(z).
7
Suppose 16*i - 22*i + 210 = 0. Let n = i - -63. What is the remainder when n is divided by 11?
10
Let p = 8 - -2. Suppose i - 35 = -5*k, -2*i + 4*i = -p. Let q = 15 - k. Calculate the remainder when 20 is divided by q.
6
Suppose -31 = -5*m + 4. Let h be (5/(-15))/(1/(-3))*32. Suppose h = 9*a - 13. Calculate the remainder when m is divided by a.
2
Let h(b) = 141*b**2 - b - 1. Let s = -127 - -163. What is the remainder when h(-1) is divided by s?
33
Suppose a + 5*p = 6*a - 20, 5*p - 16 = -4*a. Let w(m) = -2*m**3 + 10*m**2 - m - 5. Calculate the remainder when 114 is divided by w(a).
22
Suppose 4*p - 5*l = 325, -3*p + 76 + 174 = -5*l. Calculate the remainder when p is divided by 39.
36
Let p(c) = -c**2 - 16*c + 28. What is the remainder when 122 is divided by p(-14)?
10
Let q(l) = -l**3 + 19*l**2 + 23*l - 4. Suppose 5*k - 4*a - 92 = 0, -5*a + 48 = 4*k - 42. What is the remainder when q(k) is divided by 10?
6
Suppose 3 + 0 = -u, 2*u = m + 29. Let g = 54 + m. What is the remainder when g is divided by 12?
7
Suppose 0 = -3*g + 3*x + 42, 12 = -g - 3*x + 18. Calculate the remainder when 42 is divided by g.
6
Suppose 6*n - 3*n = 5*y - 141, 4*n = -3*y - 159. Let s = 50 + n. What is the remainder when s is divided by 2?
0
Let g = -94 + 66. Let b = 46 + g. Suppose 0 = -2*z - 12 + b. What is the remainder when 5 is divided by z?
2
Suppose -2 = -2*c + 4*j, 2*c - 1 = -j + 11. Suppose 0 = -5*z + 15, -3*a - 2*a + 100 = -c*z. What is the remainder when a is divided by 6?
5
Suppose 0 = 5*k + 2*b - 369, -k = -0*b + 2*b - 77. Let z = k - 31. Let u = -27 + z. Calculate the remainder when 72 is divided by u.
12
Let r(u) = 75 - u + u**2 - 4*u**3 + 7*u**3 - 76. Let p be r(-1). What is the remainder when 27 is divided by (p - -4)/((-4)/(-14))?
6
Let q = -5 - -17. Suppose 29 = -4*l + 5. Let n = 2 - l. Calculate the remainder when q is divided by n.
4
Let v = -10 + 12. Suppose 3*h - 155 = 3*i - 20, -5*i + 76 = v*h. Calculate the remainder when h is divided by 15.
13
Let t = 95 - 91. Suppose -t*j - 28 = -3*o + j, -4*o = j - 45. What is the remainder when 19 is divided by o?
8
Let g(c) = -4*c + 16. Let i be g(8). Calculate the remainder when 3 is divided by 35/21 + (i/6 - -2).
0
Suppose -19*r + 14*r + 30 = 0. Suppose -r*y = -8*y - 68. Let g = 46 + y. Calculate the remainder when 81 is divided by g.
9
Let z be (-5 - -1)*(-3 - 9/12). Calculate the remainder when 86 is divided by z + (3 - (-1 - -1)).
14
Let j(q) = q**2 - q - 35. Calculate the remainder when (-2 - -3) + 3*18 is divided by j(-6).
6
Suppose 5*h - 3*b - 91 - 464 = 0, 0 = -5*b - 25. Suppose -h + 23 = -5*z. Let d(s) = 8*s**2 + s + 2. What is the remainder when d(-2) is divided by z?
15
Let q = 21 + -6. What is the remainder when (6055/(-30))/(-7) + (-2)/(-12) is divided by q?
14
Suppose -c - g + 34 = -32, -4*c = g - 264. Calculate the remainder when c is divided by 30.
6
Let x be (-44)/(-3) + (-2)/(-6). Suppose 175 = 2*s - x. Calculate the remainder when s is divided by 24.
23
Suppose 4*u + 561 - 1589 = 0. Calculate the remainder when u is divided by 26.
23
Calculate the remainder when 46 is divided by (-4)/26 + 680/26.
20
Suppose -3*z = h - 66, -5*h = -h + 3*z - 273. Let l be (96/36)/(-4)*(-12)/2. Suppose -m = -l*m + h. Calculate the remainder when m is divided by 13.
10
Suppose 15*i + 75 = 20*i. Suppose -g + 8 = -i. What is the remainder when g is divided by 13?
10
Suppose 45*w = 47*w - 10. Let f(o) = -2*o - 5. Let k be f(-6). Suppose 0 = -j - 3 + k, 2*p + 2*j - 44 = 0. Calculate the remainder when p is divided by w.
3
Let g(z) = 35*z. Let q = -4 + 4. Suppose 4*n - 4 = -q. What is the remainder when g(n) is divided by 9?
8
Let f(c) = c**3 - 25*c**2 - 30*c + 135. What is the remainder when 455 is divided by f(26)?
21
Suppose 2*q + 3*f = 324, 6 = -4*f - 10. Calculate the remainder when q is divided by 55.
3
What is the remainder when (0 + 36/10)/((-96)/(-240)) is divided by 3?
0
Let u(m) = -m**2 + 6*m + 8. Let g be u(6). Suppose 4*i - 4*n - 811 - 425 = 0, -3*n + 1257 = 4*i. What is the remainder when ((-6)/g)/((-13)/i) is divided by 7?
4
Suppose 4*a - 5*i - 101 = 0, -5*a + 142 = -0*a - i. Let o = 42 - 24. Suppose f + 7 - o = 0. What is the remainder when a is divided by f?
7
Let j(m) = -25*m**3 - m - 1. Suppose -2*d - 12 = 0, -8*b - 4*d = -4*b - 172. What is the remainder when b is divided by j(-1)?
24
Suppose -4*w = -31 + 15. Suppose -3*j + 3*l + 114 = 0, 2*j - w*l = -25 + 109. Calculate the remainder when 133 is divided by j.
31
Suppose 5*r - 4 = -2*z, 10 = 5*z - 2*r + 5*r. Let m(x) = 4*x**3 + x**2 + 1. What is the remainder when m(z) is divided by 10?
7
Let h(m) = 2*m**2 + 5*m + 2. Let r = -103 - -105. What is the remainder when 58 is divided by h(r)?
18
Let c = 29 + -31. What is the remainder when 29 is divided by (-1 - 3/c)*16?
5
Let n = 27 + -1. Let k be 1 + (-122*2 - -4). Let s = -136 - k. Calculate the remainder when s is divided by n.
25
Suppose c + 4*c - 30 = 0. Let x(r) = 4*r**2 - 65*r - 22. What is the remainder when x(17) is divided by c?
5
Let n = 331 - 300. What is the remainder when 87 is divided by n?
25
Suppose -2*g + 26 - 518 = 3*a, 0 = -2*a + g - 321. What is the remainder when (-9432)/a - (-2)/(-9) is divided by 15?
13
Let v = 21 + 43. Let g(m) = m**3 - 9*m**2 + 13. What is the remainder when v is divided by g(9)?
12
Let c be 67/(-3) + (-2)/3. Let p be 89/(-979) + 174/(-22). What is the remainder when 27 is divided by c/(-3) - p/(-12)?
6
What is the remainder when 142 is divided by (-22)/(-143) - 310/(-13)?
22
Let h = -36 + 36. Suppose h = 2*v + 4, -254 = -4*q + 2*v + 178. What is the remainder when q is divided by 22?
19
Let y(d) = d**3 + 5*d**2 - 4*d + 4. Let z be y(-6). Calculate the remainder when 35 is divided by (-15)/60 + (-98)/z.
11
Suppose 38 = w - 9. Calculate the remainder when 163 is divided by w.
22
Suppose 2*z = 3*z - 138. Let t = 143 - z. Calculate the remainder when 18 is divided by t.
3
Let x(w) = 8*w**3 - 2*w**2 - 16*w - 10. Calculate the remainder when x(5) is divided by 72.
68
Suppose 5*p = 2*p + 30. Suppose -15*g + p*g + 285 = 0. Suppose 2*f + 38 = 5*q - 30, -4*f - 4 = q. What is the remainder when g is divided by q?
9
Suppose 4*y - 3*y - 15 = 0. Calculate the remainder when y is divided by (-1 - -3) + -5 + 7.
3
What is the remainder when ((-27)/(-15))/(11/605) is divided by 27?
18
Let m = -11 - -18. Calculate the remainder when 24 is divided by m.
3
Suppose 80 = -7*y + 3*y + 3*f, 2*y + 3*f = -40. Let v(u) = -u**2 - 20*u + 18. What is the remainder when v(y) is divided by 5?
3
Suppose 9*n - 325 = -73. What is the remainder when 109 is divided by n?
25
Suppose 8 = 2*a + 2*a. Suppose -a*r = -5*r. Suppose q - 6*q = -4*z + 26, -4*z + 2*q + 20 = r. Calculate the remainder when 15 is divided by z.
3
Let v(m) = -3*m + 745. Calculate the remainder when v(3) is divided by 67.
66
Suppose -3297 + 425 = -8*g. Calculate the remainder when g is divided by 12.
11
Suppose 5*x + 93 = j, -5*j = -4*x - 290 - 70. Let a = -219 - -242. Calculate the remainder when j is divided by a.
22
Suppose -1 - 3 = -x + 2*d, 4*x + 29 = -d. Let f(b) = -b**3 - 8*b**2 - 13*b + 2. What is the remainder when (19/4)/(3/24) is divided by f(x)?
6
Suppose 0 = -a + 30 - 11. Let p = 24 - 13. Calculate the remainder when a is divided by p.
8
Suppose -3*k + 71 = -67. Let j(t) = 25*t - 67. Calculate the remainder when k is divided by j(3).
6
Let d(k) = -33*k - 168. Calculate the remainder when 598 is divided by d(-6).
28
Let t(w) = -12*w**2 + 2*w - 1. Let h be t(1). Suppose 2*s - 3*s = -7. What is the remainder when (h/2)/((-6)/12) is divided by s?
4
Suppose 2*v + 3*f = 15, 0*v - 11 = -v - 5*f. Calculate the remainder when (-114)/399 - (324/(-7) + -1) is divided by v.
5
Let o = -141 - -147. Suppose 0 = j - 2*g - 36, -8*j + 96 = -o*j + 4*g. Calculate the remainder when 81 is divided by j.
39
Let p(c) = -58*c - 806. Let n = -3 - -11. What is the remainder when n is divided by p(-14)?
2
Suppose 0 = -22*p + 19*p. Suppose p = 4*g - 12, u + 2*g - 68 =
|
{
"pile_set_name": "DM Mathematics"
}
|
)*(0 - 6 - 2).
-16*a**4 + 232*a**2 - 24*a - 8
Expand (-11 - 24*a + 11)*(18*a**3 + 0*a**3 + 0 + 0).
-432*a**4
Expand (-3 + w + 3)*(3*w**2 - 5 + 5) + (-w**2 + 39*w - 39*w)*(-w + 0 + 0) - 9*w - 3*w**3 + 9*w.
w**3
Expand (-345 - 169 - 322)*(2*u + 9*u - 5*u).
-5016*u
Expand (33327 + 33335 - 638*x - 66658)*(2 - x**2 - 2).
638*x**3 - 4*x**2
Expand (132 - 1340 - 606 - 507)*(o**5 - 2*o**5 + 4*o**5).
-6963*o**5
Expand (3 - 3 + 1)*(16*h + 2*h**3 - 73*h**2 + 73*h**2)*(117*h**2 - 39*h**2 + 111*h**2).
378*h**5 + 3024*h**3
Expand (-m - 3*m - 2*m)*(-15 + 23 + 25)*(-5 + 3 + 0).
396*m
Expand (-3 + 3*n**3 + 3)*(-19839*n - 253 + 557 - 304).
-59517*n**4
Expand 3*x**5 - 2*x + 2*x + (4*x + 2*x - 4*x)*(-58*x**3 + 158*x**4 + 58*x**3).
319*x**5
Expand (1 + 4*a - 1)*(2*a**2 - 5*a**2 + 2*a**2) - 3*a**3 - 7*a**3 + 3*a**3 + 2*a**3 + 0*a + 0*a + (-2*a**3 + a**3 - a**3)*(-1 + 0 + 4) - a**3 + 0*a**3 - a**3.
-17*a**3
Expand (-1 - 2 + 5)*(-y - 7*y - 2*y + (-3 + 3 - y)*(104 - 28 - 22)).
-128*y
Expand (-109*l - 33*l + 29*l)*(24*l - 13*l - 21*l).
1130*l**2
Expand (471*u**3 + 943 - 2*u**2 - 943)*((4 - 3 + 2)*(-6*u**2 + u**2 + 3*u**2) + 3*u**2 - 3*u**2 - 2*u**2).
-3768*u**5 + 16*u**4
Expand 26*j + 28*j - 53*j - 6*j**2 + (-1 + 12 - 5)*(-5*j**2 + 4*j**2 + 4*j**2).
12*j**2 + j
Expand (-x + 0*x + 0*x)*(35 + 7775*x - 3905*x - 5 - 3901*x).
31*x**2 - 30*x
Expand (5*t + t - 2*t)*(5 + 0 - 3)*(0 - 1 - 1)*(0 + 0 - t + (0*t - 3*t + t)*(6 - 3 - 1) + 2*t + t - t - 8*t + 7*t + 11*t) + 2*t + t**2 - 2*t.
-111*t**2
Expand (-207*f - 119*f + 112 + 307*f)*(-1 - 1 + 1).
19*f - 112
Expand 48*r - 10*r**2 - 48*r + (-2*r + 11*r - 6*r)*(-2 + 2 + 2*r).
-4*r**2
Expand (393*w - 1577 + 1577)*(24 + 9 + 4).
14541*w
Expand (3*m**2 - 7*m + 5*m + m**2)*((1 - 1 - m)*(m + 3*m - 2*m) - 5*m**2 - 12 + 12 + 8*m**2 - 6*m**2 + 10*m**2).
20*m**4 - 10*m**3
Expand -5*i - 11*i + 75*i + (-i + 0*i - i)*(-10 - 15 + 24).
61*i
Expand (u**5 + 0*u + 0*u)*(0 + 0 - 1) + 2*u**5 - 2*u**5 - u**5 + (u**2 - 4*u**2 + 5*u**2)*(555*u**3 - 13986 + 13986).
1108*u**5
Expand (-360 - 524 + 657)*(4*a + 3*a - 5*a).
-454*a
Expand (-869 + 22 - 1648)*(2 - u - 2).
2495*u
Expand (31*d**2 + 32*d**2 - 41*d**2)*(-2*d**3 + 5*d**3 + 0*d**3).
66*d**5
Expand (-4*z + 0*z + 3*z)*(3 + 0 - 1)*(21*z - 96*z - 404*z).
958*z**2
Expand (10*r**2 - 30*r**2 - 13*r**2)*((3*r + 2*r - 6*r)*(-2 + 4 - 5) + (4 + 0 - 1)*(-2*r + 0*r + 4*r) + 3 + 2*r - 3)*(1 - 1 - 2*r).
726*r**4
Expand (-382 + 200 + 170 - 40*f)*(2 - 6 - 4).
320*f + 96
Expand (2 - 1 + 0)*(0*z + 3*z + 0*z)*(-2 - 1 + 15 + (1 + 3 - 2)*(8 - 18 + 8)).
24*z
Expand (-9094 - 9*k + 44*k - 9074 + 27781 - 9220)*(0 - 2 + 3).
35*k + 393
Expand (-2*v**2 + 4 - 4 + 2*v**2 + 4*v - 4*v + (-4*v**2 + 4*v**2 + 2*v**2)*(0 - 2 + 3) + 0*v + 2*v**2 + 0*v)*(11*v + 32*v - 77*v - 2)*(2*v + 2*v - 2*v).
-272*v**4 - 16*v**3
Expand (-2 + 1 - 5)*(-26*h**3 + 1058 - 1058) + (2*h**2 - h**2 + 0*h**2)*(h + 0 + 0).
157*h**3
Expand (j**2 + 3*j**2 - 5*j**2)*(188*j**2 + 17819*j - 17819*j).
-188*j**4
Expand -22189*m + 14*m**2 + 22189*m + (-2*m**2 + m**2 + 5*m**2)*(-5 + 3 + 1) + 4*m + m**2 - 4*m.
11*m**2
Expand (-51 - 18 + 3)*(-2 - 1 + 1)*(62 - 62 - 9*p).
-1188*p
Expand 5*p - 3*p - 4*p + (-3*p + 4*p - 3*p)*(1 - 1 - 1) + 2711 - 2711 - 1157*p.
-1157*p
Expand w**3 + 2*w**5 - w**3 + (-3 - 414*w + 9 + 421*w)*(6*w**4 + 2*w**4 - w**4) + (2*w**5 + w**5 - 4*w**5)*(2 + 1 - 4) - 3*w**5 + 4*w**5 + 0*w**5.
53*w**5 + 42*w**4
Expand (-m - 7*m + 3*m)*(-12 - 2 + 43).
-145*m
Expand (-1 + 1 - 5*x)*(-50*x**2 - 38*x**2 - 51*x**2)*(0 + 0 + 1).
695*x**3
Expand ((2*u**3 - 5*u**3 + 5*u**3)*(-2*u - 2 + 2) - 227*u - 88*u**4 + 227*u)*(0*u + 0*u - u).
92*u**5
Expand (-20 - 13 + 15)*(-1 + 6 - 2)*(17*x**4 - 57*x + 57*x).
-918*x**4
Expand (3 + 2 - 3)*(-2356*w - 508*w + 1 + 1).
-5728*w + 4
Expand (-1 - 1 + 1)*(221*g**3 - 331*g**3 - 723*g**3)*(-g + 2*g + g).
1666*g**4
Expand 4*a**2 - 2*a**2 - a**2 - 1 + (0 - 2*a + 0)*(-60 + 51 + 53)*(-3*a - 1 + 1).
265*a**2 - 1
Expand (-675 + 32*f**2 + 675)*(f**2 - 3*f**2 + 355*f**3 - 381*f**3).
-832*f**5 - 64*f**4
Expand 30*c**2 - 11*c**2 - c - 10*c**2 + (21 - 59 - 183*c + 182*c)*(4*c + 0*c - 2*c).
7*c**2 - 77*c
Expand ((301 - 221 + 641)*(-2*z + 2*z + 3*z) + 4*z - z - 4*z)*(0*z**2 - 3*z**2 + 4*z**2).
2162*z**3
Expand (4 - 5 - 2*q + 3*q)*(q - 541 - 568 + 751).
q**2 - 359*q + 358
Expand (-u + u - 2*u**2)*(-1 - 3 + 3)*(-601*u - 220*u**2 - 1 + 221*u**2 + 874*u).
2*u**4 + 546*u**3 - 2*u**2
Expand 6*i + 407*i**3 + 6*i**5 - 407*i**3 + (-4 + 4 + 3)*(5*i**5 - i**5 - 3*i**5).
9*i**5 + 6*i
Expand ((5*d - 3*d + 0*d)*(5 - 4 + 1) - 3*d - 3 + 3 + (-3*d - 3*d + 3*d)*(1 - 2 + 3))*(36*d**2 + 2*d**2 + 7*d**2).
-225*d**3
Expand (11954*z**2 - 2 - 9209*z**2 - 8030*z**2)*(0*z**2 - 2*z**2 + z**2)*(3 - 2 + 1).
10570*z**4 + 4*z**2
Expand (1 + 0 - 3 - c)*(-6*c**4 + 2*c**4 + 2*c**4)*((5 - 4 - 2)*(0 + 4 - 2) + 0 + 5 - 3 + 1 + 76 + 12).
178*c**5 + 356*c**4
Expand (-15*u + 45*u + 49*u)*(502*u**4 + 10*u - 4*u - 504*u**4).
-158*u**5 + 474*u**2
Expand (551*k**2 + 394*k**2 + 232*k**2)*(-3*k + 2*k - 4*k + (-2*k - k + 2*k)*(3 + 0 - 2)).
-7062*k**3
Expand (h**2 + 0*h**2 + 0*h**2)*(792*h + 7102 - 7102).
792*h**3
Expand ((-15*n + 9*n + 4*n)*(1 - 1 - 2*n)*(2 + 9 + 0) + (0*n - n + 2*n)*(-2*n + n + 3*n))*(1 + n - 1)*(4 - 1 - 1).
92*n**3
Expand (-3 + 1 + 4 + (4 - 2 - 4)*(-3 + 2 + 0) + 0 + 5 - 3 + 226 + 678 - 252)*(-2*i + 0*i + 0*i)*(-i + 4*i - 4*i).
1316*i**2
Expand (-2 + 2 + p)*(-141*p**2 + 91*p**2 + 57*p**2 + 311*p).
7*p**3 + 311*p**2
Expand (-4 + m + 4)*(-m**2 - m**4 + m**2)*(6157 + 428 + 6403 + 5475 - 1701).
-16762*m**5
Expand 2*c**2 + 4*c - 4*c - 165*c**2 - 339*c**2 + 125*c**2 + (-1 + 4 - 1)*(c**2 + 0 + 0) + 4*c**2 - 4*c**2 + 2*c**2.
-373*c**2
Expand (-3*l**2 - 3*l**2 + l**2)*(l**2 + 6*l**2 - 4*l**2) + (0 - 2 + 3)*(l**4 - l**4 + 49*l**4).
34*l**4
Expand (9821 - 3679*x - 9821 + 757*x)*(4*x + 0*x - 3*x)*(x**2 + 5*x**2 + x**2).
-20454*x**4
Expand (0 - 1 - 1)*(5 - 692*s - 707*s + 1384*s - s - 1 + 1 + 3 - 3 + s + (-1 + 3 + 0)*(-2*s + s + 2*s)).
26*s - 10
Expand (2907 - 2907 - 31*j**2 + (-2*j + 4*j + 0*j)*(j + j + 0*j) - 3*j**2 + 4*j**2 + 0*j**2)*(-2 + j + 2 + (-3*j + 4*j + j)*(-2 - 1 + 5)).
-130*j**3
Expand ((-r**2 + r**2 + r**2)*(2*r**3 + 0*r**3 - 4*r**3) + 11*r**5 + 6*r**5 - 2*r**5)*(-4 + 2 + 0) - 2*r**5 + r**5 - 8*r**5.
-35*r**5
Expand (2*d - d + 3*d - d + 6*d - 3*d + 0*d - 3*d + d + (0 + 1 + 1)*(2*d + d - 5*d) + d + 2*d - 2*d)*(2*d**3 - 21 + 4 - d**2 + 8).
2*d**4 - d**3 - 9*d
Expand (5 - 2 + 3)*(4 + 4 - 4)*(-44*d - 49*d + 44*d).
-1176*d
Expand (-4*k + k + 5*k)*(4*k**2 - 2 + 2)*(-26335*k - 2 + 18562*k + 13034*k).
42088*k**4 - 16*k**3
Expand (-2*p + 0*p + 0*p)*(4*p**2 - 4*p**2 + p**2) + 3 + 33*p**3 - 4 + 10*p - 2*p**2 - 37*p**3.
-6*p**3 - 2*p**2 + 10*p - 1
Expand (4 - 2 + 0)*((-j - 3*j + 2*j)*(0 + 0 - j) + j**2 - j**2 - j**2 - 96*j**2 - 124*j**2 + 31*j**2).
-376*j**2
Expand 6 + 737*c**2 - 4 - 6 + 3 + 1 + (2 + 2 - 6)*(4*c**2 - 103 + 103) - 2 - c**2 + 2.
728*c**2
Expand (-2 + 1 - 1)*(-2*b + 0*b + 0*b + 40*b + 163 - 163 + (-b - 2 + 2)*(0 - 1 + 2)).
-74*b
Expand -4*j**2 - 3*j**2 + 0*j**2 - 2 + 2 + 2*j**2 - j**2 - j**2 + j**2 + (5*j - 2*j - j)*(0 + 0 + j) + 2*j**2 + 4 - 4 - 137556 + j + 1510*j**2 + 137556.
1508*j**2 + j
Expand (26*f - 20 + 20)*(-3*f**2 + 3*f**2 + 2*f**2) + (-1 + 3 - 4)*(0*f**3 + 2*f**3 - f**3) + 76*f**3 - 345 + 345.
126*f**3
Expand (-2 + 6 - 3)*(0 + 2*x + 0) + 1 - 1 + 3*x + 5*x - 2*x + 9*x + (3 - 3 - 2*x)*(0 + 3 - 4) - 2*x + 4*x + 0*x - 2*x + 4*x - x + 14*x + 4*x + 7*x.
47*x
Expand (-2 + 0 + 3 + 4 + 3 - 5 + (0 - 1 + 2)*(-5 + 3 + 4) + 1 + 1 - 4 - 1 - 1 + 6)*(-2*i - 24*i**5 + 47634*i**3 + 2*i - 47633*i**3).
-168*i**5 + 7*i**3
Expand (-l**4 + 0*l**3 + 0*l**3)*(4*l - 3*l + 0*l) - 622*l**5 - 497*l**5 + 793*l**5.
-327*l**5
Expand (273 - 273 + 7*t)*(-147 + 1 - 13)*(1 - 5 + 2).
2226*t
Expand (-12*n - 7*n - 4*n)*(-3 - 5 + 1) + 2*n - 3*n + 5*n.
165*n
Expand 0 + 0 - 2*l**2 + (-l + 0 + 0)*(l - 4*l + l) - 34*l + 53*l**2 - 52*l**2 + 31*l + 54.
l**2 - 3*l + 54
Expand (103*u - 15 - 284*u - 376*u)*(0*u - u**4 + 0*u).
557*u**5 + 15*u**4
Expand (-10*j - 12*j - 6*j)*(-18 - 52 + 6).
1792*j
Expand (-34*d**4 - 3*d**4 - 5*d**4)*(-4 + 8 + 0)*(-4 + 3 - 1).
336*d**4
Expand (899 + 665 + 385 - b + (-1 + 5 - 2)*(-5*b + 4*b + 2*b))*(-b**2 + 3*b**3 + b**2).
3*b**4 + 5847*b**3
Expand (-49 - 88 - 154)*(2 - p - 5 + 10).
|
{
"pile_set_name": "DM Mathematics"
}
|
e q(6).
-22
Let c(h) = 7*h + 1. Determine c(-1).
-6
Let a(h) = -28*h - 176. What is a(-6)?
-8
Let c(u) = -11*u - 128. What is c(-12)?
4
Let q(d) = d**2 - 4*d + 4. Calculate q(3).
1
Let b(d) = -d**2 - 7*d - 8. What is b(-5)?
2
Let u(a) = -18*a - 127. Determine u(-7).
-1
Let p(w) = 2*w**3 - 35*w**2 - 57*w. Determine p(19).
0
Let k(f) = -f**3 + 2*f**2 + 8*f + 5. What is k(4)?
5
Let j(s) = 8*s + 2. Give j(3).
26
Let b(t) = -3*t**2 + 60*t. Determine b(20).
0
Let n(h) = -h**2 + 9*h + 18. What is n(8)?
26
Let w(q) = 6*q - 51. Give w(12).
21
Let l(s) = s**2 + 5*s - 16. What is l(-8)?
8
Let p(m) = -155*m - 311. Calculate p(-2).
-1
Let x(j) = -j**3 + j**2 + 4*j + 1. Determine x(3).
-5
Let j(f) = -51*f**3 + f. Determine j(1).
-50
Let c(r) = 9*r**2 - 1. Give c(-1).
8
Let m(g) = -9*g - 1. What is m(-1)?
8
Let s(p) = -p + 5. What is s(7)?
-2
Let v(d) = 2*d - 32. Determine v(11).
-10
Let w(j) = -4*j**2 - 27*j + 7. Calculate w(-7).
0
Let y(c) = 2*c**3 + c**2 - 1. What is y(-2)?
-13
Let m(j) = 5*j**3 - 3*j**2 + 3. Give m(-1).
-5
Let v(h) = -2*h**2 + 24*h + 61. Give v(14).
5
Let s(n) = n**3 - 12*n**2 + 29*n - 31. Calculate s(9).
-13
Let b(c) = 41*c - 532. Calculate b(13).
1
Let j(l) = l**2 + 7*l - 36. Give j(-11).
8
Let f(x) = -36*x**3 + x**2 + x - 2. What is f(1)?
-36
Let d(q) = -24*q - 1733. Calculate d(-72).
-5
Let d(i) = i**2 + 12*i + 15. Determine d(-6).
-21
Let n(s) = s**3 + 7*s**2 + 4*s - 5. Calculate n(-6).
7
Let o(t) = -9*t + 10. Determine o(-5).
55
Let d(b) = -b**3 - 32*b**2 - 26*b + 154. What is d(-31)?
-1
Let j(s) = s**2 + 13*s + 3. What is j(-4)?
-33
Let g(u) = 5*u - 38. What is g(13)?
27
Let x(s) = 3*s - 43. Calculate x(11).
-10
Let t(d) = d**3 + 2*d**2 - 3. What is t(-2)?
-3
Let a(g) = 8*g**3 - 2*g**2 + 2*g + 6. What is a(2)?
66
Let n(g) = -3*g + 7. Give n(9).
-20
Let s(l) = 2*l**2 - 15*l + 33. What is s(6)?
15
Let r(q) = q**3 + 4*q**2 - 6*q - 6. What is r(-6)?
-42
Let m(j) = -27*j + 67. What is m(2)?
13
Let w(v) = v + 25. Give w(0).
25
Let i(p) = -2*p**2 - 10*p - 2. Calculate i(-5).
-2
Let n(v) = v**2 - 24*v + 46. Give n(23).
23
Let q(v) = 10*v + 2. Calculate q(-1).
-8
Let m(d) = -15*d - 1. Determine m(0).
-1
Let p(h) = -4*h + 47. Give p(10).
7
Let g(z) = 10*z - 8. What is g(2)?
12
Let z(i) = -i**3 - 7*i**2 + 8*i + 5. What is z(-8)?
5
Let p(m) = 9*m + 6. Calculate p(-2).
-12
Let j(a) = a**3 - 3*a**2 - 12*a + 36. Give j(3).
0
Let d(b) = b**2 - 71. Give d(8).
-7
Let k(w) = -99*w + 687. What is k(7)?
-6
Let u(q) = -q**3 + 8*q**2 - 8*q + 10. Determine u(8).
-54
Let g(r) = -r**2 - 2*r + 1. What is g(2)?
-7
Let p(l) = l - 12. Give p(0).
-12
Let h(g) = 2*g - 26. Calculate h(13).
0
Let n(u) = -u**3 + 3*u**2 + 3*u + 4. Determine n(5).
-31
Let r(x) = -2*x**3 - 13*x**2 - 4*x - 1. Calculate r(-6).
-13
Let o(n) = 2*n**3 + 74*n**2 + 2*n + 79. Determine o(-37).
5
Let j(m) = m**3 + 5*m**2 - m + 6. Calculate j(-6).
-24
Let j(w) = 131*w**2 - w + 1. What is j(1)?
131
Let u(t) = -t**3 - 7*t**2 - 3*t - 14. Give u(-7).
7
Let f(k) = -k - 13. What is f(-12)?
-1
Let q(n) = n**3 + 8*n**2 + 11*n - 2. Give q(-4).
18
Let c(m) = m**3 + 5*m**2 - 8*m - 1. What is c(-6)?
11
Let d(m) = -18*m + 95. Give d(5).
5
Let f(n) = 9*n + 28. Determine f(5).
73
Let y(p) = p**3 - 2*p**2 - 4*p + 3. Give y(4).
19
Let q(x) = -27*x - 116. Determine q(-4).
-8
Let c(i) = i**2 + 19*i + 29. What is c(-17)?
-5
Let n(w) = -w + 12. Give n(-8).
20
Let h(c) = 4*c + 1. Give h(5).
21
Let t(m) = 17*m**3 + m**2. Determine t(-1).
-16
Let r(s) = -2*s**2 + 5*s + 14. Determine r(-3).
-19
Let v(o) = -4*o + 1. Determine v(0).
1
Let y(f) = -f**2 + 22*f - 17. Calculate y(15).
88
Let u(q) = -q**3 - 6*q**2 + 10*q + 6. Give u(-4).
-66
Let a(u) = -4*u - 12. What is a(-5)?
8
Let z(y) = y**2 - 14*y - 55. Calculate z(17).
-4
Let c(o) = o**2 - o - 48. Determine c(7).
-6
Let s(v) = -v**2 - 50*v - 144. What is s(-47)?
-3
Let z(y) = -2*y + 4. Give z(15).
-26
Let a(p) = p**3 - 6*p**2 + p - 12. Determine a(6).
-6
Let c(q) = -q**2 - q. Determine c(-5).
-20
Let s(v) = -v**3 + 10*v**2 - 21*v + 26. What is s(8)?
-14
Let m(j) = -j**3 - 9*j**2 - 7*j - 5. Calculate m(-8).
-13
Let d(q) = -34*q**2 + 3*q + 3. Give d(-1).
-34
Let o(a) = a**3 + 6*a**2 + 7*a + 9. Give o(-5).
-1
Let d(y) = -y**3 + 5*y**2 + 7*y + 4. Calculate d(6).
10
Let c(w) = -3*w - 19. What is c(-15)?
26
Let k(s) = 4*s - 92. Calculate k(25).
8
Let u(c) = 8*c**2 - 3*c - 4. Determine u(-1).
7
Let s(u) = 7*u**2 + 51*u + 22. What is s(-7)?
8
Let z(i) = -7*i**3 + 4*i**2 + 10*i - 2. What is z(-2)?
50
Let j(n) = n**3 - 5*n**2 - 3*n - 11. Calculate j(5).
-26
Let y(o) = -o**2 - 25*o + 38. What is y(0)?
38
Let s(j) = -j**2 - 16*j - 68. Calculate s(-6).
-8
Let p(s) = s**3 + 7*s**2 + 9*s + 1. Determine p(-6).
-17
Let y(r) = r**3 + 8*r**2 + 9*r - 16. What is y(-7)?
-30
Let y(u) = -u**2 + 16*u - 19. Calculate y(16).
-19
Let y(s) = -s**2 + 7*s - 14. Give y(6).
-8
Let q(d) = -7*d + 2. What is q(-4)?
30
Let c(l) = -l**3 + 9*l**2 - 5*l + 2. Give c(8).
26
Let y(z) = 4*z + 25. Determine y(-10).
-15
Let q(w) = 5*w + 23. Determine q(-5).
-2
Let k(i) = 8*i**2 + 3*i - 4. Calculate k(-3).
59
Let k(y) = -y**3 + y + 28. Calculate k(0).
28
Let y(x) = -x**2 + 15*x + 8. What is y(13)?
34
Let d(q) = q**3 - q**2 + q + 5. Calculate d(0).
5
Let s(v) = v**2 - 32. Calculate s(6).
4
Let g(r) = r**3 - 9*r**2 - r + 17. What is g(9)?
8
Let j(w) = 22*w**3 + w**2 + w. Determine j(-1).
-22
Let w(z) = -z**2 - 7*z + 6. Calculate w(-8).
-2
Let z(p) = p**3 - 7*p**2 - 5*p - 23. Determine z(8).
1
Let k(y) = y**3 - 3*y**2 - 3*y + 1. Give k(2).
-9
Let z(t) = t**3 + 12*t**2 + 3*t - 15. Determine z(-12).
-51
Let n(m) = -m**2 - 18*m - 40. Calculate n(-15).
5
Let r(x) = -5*x**3 - 49*x**2 + 10*x - 2. Give r(-10).
-2
Let h(y) = -y**2 + 10*y - 7. Give h(3).
14
Let j(o) = 51*o - 259. What is j(5)?
-4
Let p(q) = -64*q - 342. Determine p(-5).
-22
Let t(v) = -v - 7. Give t(-10).
3
Let a(b) = -7*b - 10. Determine a(7).
-59
Let a(y) = -15*y**3 + 2*y**2 - y + 1. Determine a(1).
-13
Let c(t) = t**3 + 10*t**2 + 9*t - 9. Give c(-9).
-9
Let w(d) = d**3 - 13*d**2 - 2. Give w(13).
-2
Let z(h) = -h**3 - 25*h**2 + h + 29. Calculate z(-25).
4
Let n(p) = -4*p**3 - 12*p**2 - 9*p - 4. Determine n(-4).
96
Let q(y) = -y**3 - 4*y**2 - 14. Calculate q(-5).
11
Let a(m) = -24*m. Calculate a(1).
-24
Let d(g) = -3*g + 12. Determine d(-8).
36
Let v(c) = c**2 + 4*c + 2. Calculate v(-6).
14
Let a(r) = 5*r - 25. What is a(-3)?
-40
Let y(z) = z**2 + z + 8. Determine y(0).
8
Let l(m) = -m**2 + 20*m - 44. Give l(21).
-65
Let q(l) = -l**2 - 3*l + 4. Determine q(-7).
-24
Let i(m) = -m**3 - 9*m**2 - 10*m - 4. Give i(-8).
12
Let y(t) = t**3 - 6*t**2 + 3*t + 13. Determine y(5).
3
Let u(o) = o**2 - 6*o. Determine u(5).
-5
Let r(o) = 24*o - 45. Calculate r(3).
27
Let b(j) = j + 11. Give b(-9).
2
Let g(v) = 3*v + 23. What is g(-7)?
2
Let r(p) = -p**2 + 16*p - 16. Calculate r(11).
39
Let k(c) = -3*c - 7. Determine k(-3).
2
Let b(t) = -t**2 + 2*t - 1. Determine b(0).
-1
Let d(r) = -2*r**3 + 2*r**2 + 2*r - 2. Determine d(2).
-6
Let t(y) = 5*y**2 - 43*y - 3. Give t(9).
15
Let q(h) = -57*h - 111. Give q(-2).
3
Let f(z) = z**3 - 5*z**2 - 7*z + 5. Calculate f(6).
-1
Let l(x) = x**2 - 13*x + 3. Determine l(13).
3
Let k(a) = a**3 + 10*a**2 + 10. Give k(-10).
10
Let b(l) = l**3 - 6*l**2 + 7*l - 2. What is b(5)?
8
Let p(s) = 32*s - 8. Calculate p(-3).
-104
Let k(d) = d**3 - d**2 + d + 2. What is k(-1)?
-1
Let g(v) = -2*v**3 + 3*v**2 + 4*v. Give g(3).
-15
Let o(j) = -5*j**3 - j**2 + j + 2. What is o(-1)?
5
Let l(n) = -2*n**3 - 19*n**2 - 10*n - 13. Calculate l(-9).
-4
Let w(o) = 34*o + 179. Give w(-5).
9
Let h(n) = n - 5. Determine h(5).
0
Let j(t) = t**3 + 4*t**2 - 9*t - 10. Calculate j(-4).
26
Let z(w) = w**3 - 6*w**2 - 2. Calculate z(4).
-34
Let d(x) = 5*x**3 - 2*x**2 + 2*x - 1. What is d(1)?
4
Let s(o) = -o**2 - 2*o + 2. Determine s(1).
-1
Let s(y) = -y**2 + 10*y - 8. Give s(6).
16
Let t(o) = o**3 + 14*o**2 + 41*o - 21. Determine t(-10).
-31
Let u(m) = -139*m**3 + 3*m**2 + 3*m + 1. Give u(-1).
140
Let q(s) = -2*s - 7. Determine q(-4).
1
Let p(n) = n**3 + 9*n**2 + 17*n + 7. What is p(-7)?
-14
Let d(j) = -j**3 + 6*j**2 + 6*j - 8. Give d(5).
47
Let f(j) = -15*j**3 + j**2 - 2*j + 2. What is f(1)?
-14
Let y(h) = 3*h**2 + 20*h - 14. Give y(-6).
-26
Let k(z) = 5*z + 23. What is k(-
|
{
"pile_set_name": "DM Mathematics"
}
|
51200 + n**8/16800 - n**6/3600 - n**4/24 + 3*n**2. Let u(c) be the second derivative of l(c). Factor u(y).
-y*(y - 1)**2*(y + 1)**2/5
Let a(u) be the second derivative of -3*u**5/20 - u**4/4 - 7*u. Determine z, given that a(z) = 0.
-1, 0
Let v be -4 + (-2 - 1158/(-171)). Let a = v - 2/19. Factor -a*i**2 - 1/3*i - 1/3*i**3 + 0.
-i*(i + 1)**2/3
Let x(z) be the second derivative of 0*z**2 + 0*z**5 + 2/51*z**3 - 1/34*z**4 + 6*z + 0 + 1/255*z**6. Factor x(i).
2*i*(i - 1)**2*(i + 2)/17
Let q(r) be the first derivative of r**4 + 16*r**3/3 - 6. Suppose q(g) = 0. What is g?
-4, 0
Let c be 1*(2 + -1 - -2). Let v(u) be the third derivative of 0 + 3*u**2 - 1/180*u**5 + 1/18*u**c + 0*u + 0*u**4. Factor v(p).
-(p - 1)*(p + 1)/3
Let d(y) be the first derivative of 3*y**5/5 - 27*y**4/4 + 24*y**3 - 24*y**2 - 18. Factor d(z).
3*z*(z - 4)**2*(z - 1)
Let n(x) = -x**2 + 1 - 6*x**2 + 6*x**2. Suppose 5*l + 11 + 25 = -3*o, 5*l + 28 = o. Let q(c) = -c**3 - 8*c**2 - c + 6. Let a(j) = l*n(j) + q(j). Factor a(z).
-z*(z + 1)**2
Let u(n) be the third derivative of -n**5/570 - n**4/76 - 2*n**3/57 - 3*n**2. Factor u(k).
-2*(k + 1)*(k + 2)/19
Let c(a) = 7*a**4 + 5*a**3 - a**2 - 5*a - 6. Let u(x) = 6*x**4 + 6*x**3 - 6*x - 6. Let f(l) = -3*c(l) + 4*u(l). Factor f(m).
3*(m - 1)*(m + 1)**2*(m + 2)
Let s(h) be the first derivative of -6/5*h**2 + 4 + 3/5*h**3 - 12/5*h. Factor s(l).
3*(l - 2)*(3*l + 2)/5
Let t(g) = g + 2. Let y be t(-2). Solve -1/2*z + 5/4*z**3 + y - 3/4*z**2 = 0.
-2/5, 0, 1
Factor 224/9*t**3 - 512/9 - 34/9*t**4 - 704/9*t**2 + 1024/9*t + 2/9*t**5.
2*(t - 4)**4*(t - 1)/9
Let t = 594/755 - -2/151. Factor 0*k**2 + 2/5*k**3 + t - 6/5*k.
2*(k - 1)**2*(k + 2)/5
Factor 0 - 2/7*y**2 + 0*y.
-2*y**2/7
Let w(p) = 3*p**3 - 2*p**2 + p. Let s be w(1). Suppose 4*o**2 - 4*o - 4*o**2 + o**2 + 1 + s*o = 0. What is o?
1
Let v = 238553757379348/28553 + -8354770332. Let c = v - 2/4079. Factor -4/7 - c*t - 18/7*t**2.
-2*(t + 1)*(9*t + 2)/7
Let p(s) be the second derivative of 1/24*s**4 + 0*s**3 + 1/80*s**5 + 0 + 0*s**2 - 2*s. Suppose p(n) = 0. What is n?
-2, 0
Let y = -5 + 5. Suppose y*h - h = -3. Factor -2*c**3 + 4*c**h + 4*c**2 + 3*c - c.
2*c*(c + 1)**2
Let r(z) be the first derivative of 4*z**3/33 - 13*z**2/22 + 3*z/11 + 12. Factor r(v).
(v - 3)*(4*v - 1)/11
Suppose 2*x = 2*a + 14, 0 = 2*x - x + a + 1. Let p = 3 + x. Factor -16*o**2 - p*o**3 + 7*o**2 + 0*o - 3*o.
-3*o*(o + 1)*(2*o + 1)
Let t be (-2)/3 - 141/(-9). Suppose -5*q + t + 0 = 0. Factor -10*r + 3*r + q*r - r**3 + 4*r**2.
-r*(r - 2)**2
Let z(d) = -3*d**3 + 7*d**2 - 4*d - 3. Let b(f) = 2*f**3 - 6*f**2 + 4*f + 4. Let j(a) = a - 9. Let s be j(12). Let q(h) = s*b(h) + 4*z(h). Factor q(w).
-2*w*(w - 1)*(3*w - 2)
Let m be 16/(-10) + (7 - (4 - -1)). Let n = 8 - 6. Solve 4/5*p + m*p**n + 2/5 = 0.
-1
Let q(p) be the second derivative of p**7/147 + 2*p**6/105 - 3*p**5/70 + 21*p. Factor q(k).
2*k**3*(k - 1)*(k + 3)/7
Let c(u) = -3*u**2 - 38*u - 23. Let p be c(-12). Find j such that 9*j**5 - 17/2*j + 3/2*j**4 - 49/2*j**2 - 49/2*j**3 - p = 0.
-1, -1/2, -1/3, 2
Suppose -2 = w + c, 2*w - 5*c - 2 = -w. Let r(b) = b + 3. Let h be r(w). Solve 3/4*u**3 - 3/4*u**h - 3/4*u + 3/4 = 0 for u.
-1, 1
Suppose t - 28 = 4*z - 7, 0 = -z - 4. Suppose -t*m = -m - 8. Factor -m*k**5 + 17*k + k**5 - 17*k.
-k**5
Let f = 56 - 33. Suppose 2*o - f + 3 = 4*p, -3*o - 6 = 3*p. Determine t so that 0*t**2 - 2*t**2 + t**3 - 4*t**2 + o*t**3 = 0.
0, 2
Let p(u) be the third derivative of -u**5/270 + u**4/54 - u**2. Factor p(g).
-2*g*(g - 2)/9
Suppose -4/13*r - 2/13*r**3 + 6/13*r**2 + 0 = 0. Calculate r.
0, 1, 2
Let q = -97 + 98. Solve q + 1/4*x**2 + x = 0 for x.
-2
Let b(x) be the third derivative of x**9/151200 + x**5/30 - 3*x**2. Let k(r) be the third derivative of b(r). Find j such that k(j) = 0.
0
Let l(y) be the first derivative of 6*y**4/13 + 22*y**3/39 - 2*y**2/13 - 2*y/13 - 1. Solve l(g) = 0 for g.
-1, -1/4, 1/3
Suppose -a - 3 + 1 = 0. Let l be (a - 0 - -5)/1. Factor 4/3*f**2 + 0 + 0*f - 14/3*f**l.
-2*f**2*(7*f - 2)/3
Suppose -6/5 - 3/5*h + 3/5*h**2 = 0. Calculate h.
-1, 2
Let f(p) be the first derivative of 4/9*p**2 - 3 + 0*p + 1/18*p**4 - 8/27*p**3. Let f(c) = 0. Calculate c.
0, 2
Let h(d) be the first derivative of d**6/420 - d**5/105 + d**4/84 - 3*d**2 + 2. Let m(l) be the second derivative of h(l). Suppose m(z) = 0. What is z?
0, 1
Let d(c) be the second derivative of -c**5/90 + 2*c**4/27 - c**3/9 + 13*c. Determine q, given that d(q) = 0.
0, 1, 3
Let t(f) = 9*f**2 + 10*f - 4. Let g(r) = -36*r**2 - 39*r + 15. Let k(u) = -4*g(u) - 15*t(u). Solve k(q) = 0 for q.
-2/3, 0
Let 392/13 - 56/13*f + 2/13*f**2 = 0. What is f?
14
Let m(g) be the third derivative of -g**6/840 - g**5/210 - g**4/168 - 7*g**2. Factor m(k).
-k*(k + 1)**2/7
Factor 4*h**2 - 8*h**2 - 2 + 0 + 6.
-4*(h - 1)*(h + 1)
Determine d, given that 3/4*d - 1/2*d**2 + 1/4*d**5 + 0*d**4 + 1/2 - d**3 = 0.
-1, 1, 2
Let f = -4 + 4. Suppose y + 6 = u + 4*y, f = -5*u - 4*y + 19. Find d such that -2 + 4 + 6*d - 1 + u + 2*d**2 = 0.
-2, -1
Let p = 38/91 - -2/13. Solve 2/7*t**2 - 16/7*t**3 + 0 + p*t + 10/7*t**4 = 0 for t.
-2/5, 0, 1
Let r be 0/((-1)/(2 - 3)). Let q(g) be the first derivative of -2/5*g**2 + r*g + 1 + 2/15*g**3 - 2/25*g**5 + 1/5*g**4. Factor q(a).
-2*a*(a - 2)*(a - 1)*(a + 1)/5
Let y be (-85)/(-34)*(-6)/(-10). Let w(q) be the first derivative of 3/2*q**3 - 3 + y*q**2 + 3/4*q**4 + 3/4*q + 3/20*q**5. Solve w(m) = 0.
-1
Let m(w) be the third derivative of -w**5/360 + 5*w**4/144 - 15*w**2. Factor m(f).
-f*(f - 5)/6
Let g(w) = w**3 + w**2 - w + 1. Let m(v) = v**5 - 6*v**4 + 16*v**3 - 9*v**2 + v + 3. Let n(h) = -3*g(h) + m(h). Let n(z) = 0. What is z?
0, 1, 2
Suppose 0 = 4*x + 2*n - 16, -4*n = -x - 4 - 1. Suppose x*a = -4*u + 5, -5*u + u = -a - 9. Let 1/3*c**3 + 0*c + 1/6*c**u + 0 + 1/6*c**4 = 0. Calculate c.
-1, 0
Let u be 4/8 - (-21)/6. Let s(n) be the second derivative of n + 5/48*n**u - 1/4*n**2 + 0 - 1/8*n**3. Factor s(i).
(i - 1)*(5*i + 2)/4
Solve 64 + 4*n**2 + 3*n**2 - 3*n**2 + 32*n = 0 for n.
-4
Let m be (-6)/(-2) - (-3 - 24/(-6)). Factor 1/2*p**m - 5/4*p**3 + 5/4*p - 1/2.
-(p - 1)*(p + 1)*(5*p - 2)/4
Solve -14/3*m - 27*m**5 - 2/3 + 95/3*m**3 - 5/6*m**2 + 3/2*m**4 = 0.
-1, -2/9, 1/2, 1
Let z(j) be the second derivative of -j**6/55 + 7*j**5/110 + j**4/11 - 4*j**3/11 - 8*j**2/11 + 10*j. Find f, given that z(f) = 0.
-1, -2/3, 2
Suppose 3*f - 4*f = -6. Suppose -t + 4*w + 0 = f, -3*t + 8 = w. Factor 0*o + 0 + 0*o**3 - 1/2*o**4 + 0*o**t.
-o**4/2
Let c(k) be the first derivative of 0*k**2 + 2*k - 4/3*k**3 + 6 + 0*k**4 + 2/5*k**5. Factor c(y).
2*(y - 1)**2*(y + 1)**2
Let d(k) = -4*k - 9. Let t be d(-4). Factor -7 + 3*y**2 + y**4 - 4*y**4 + t.
-3*y**2*(y - 1)*(y + 1)
Let j(l) be the third derivative of l**8/120 - 16*l**7/525 + 11*l**6/300 - l**5/75 + 6*l**2. Solve j(s) = 0 for s.
0, 2/7, 1
Let u = 8 - 42. Let j be (-18)/(-81) - u/9. Find f, given that 0 - 2/5*f**5 + 0*f**2 + 0*f**3 + 0*f + 0*f**j = 0.
0
Find f, given that -8*f**4 + 106 - 6*f**3 + 2*f**4 - 100 + 24*f**2 - 21*f + 3*f**5 = 0.
-2, 1
Let w(t) be the second derivative of t**7/10080 + t**6/1440 + t**5/480 - t**4/6 + 2*t. Let h(l) be the third derivative of w(l). Factor h(c).
(c + 1)**2/4
Let k(d) = -d + 15. Let s be k(13). Let j = 8 + -6. Determine l so that 5*l**s + 2*l - 4*l**2 - 1 - j*l**2 = 0.
1
Factor 3/4*c - 3/2*c**2 - 9/4*c**3 + 0.
-3*c*(c + 1)*(3*c - 1)/4
Let i(a) be the third derivative of -a**8/70560 - a**7/8820 - a**5/60 + 3*a**2. Let s(v) be the third derivative of i(v). Factor s(h).
-2*h*(h + 2)/7
Let i = 32 + -32. Factor 3/4*j**4 + 1/4*j**2 + i*j + 0 - 1/4*j**5 - 3/4*j**3.
-j**2*(j - 1)**3/4
Let z(y) be the first derivative of y**4/18 + 37*y**3/27 + 10*y**2 + 9*y + 38. Suppose z(r) = 0. What is r?
-9, -1/2
Let z(j) be the second derivative of j**4/4 + j**3/2 - 3*j**2 + 7*j. Factor z(m).
3*(m - 1)*(m + 2)
Let g(r) be the third derivative of -r**7/2520 - r**6/720 + r**4/8 + 2*r**2. Let t(h) be the second derivative of g(h). Find y, given that t(y) = 0.
-1, 0
Let s be 5/(-2)*24/(-130). Let x = 37/52 - s. Factor -1/4*n**2 + 1/4 - x*n**3 + 1/4*n.
-(n - 1)*(n + 1)**2/4
Let r(b) = b**3 + 6*b**2 - 9*b + 4. Let u(q) = -q**3 - 7*q**2 + 10*q - 5. Let g(o) = 7*r(o) + 6*u(o). Suppose g(m) = 0. What is m?
-1, 2
Determine v so that 0 + 2/3*v**3 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-8
Rearrange (-42 - 2 - 12 + (-2 - 2 + 3)*(4 - 2 - 1) + 3 - 1 - 4)*(-7*p + 5*p + 5*p) to the form h*p + g and give h.
-177
Express (0 - 2*k + 0)*(8 + 20 - 3)*(-5*k**3 + 17*k**3 + 25*k**3) as s + c*k**2 + h*k**3 + y*k + m*k**4 and give m.
-1850
Rearrange 62*b**2 - 27*b**2 + 8*b - 36*b**2 - 25*b**3 to the form h*b + j*b**3 + u*b**2 + i and give j.
-25
Express -16 + 16 + 68*k + 141*k as u + n*k and give n.
209
Express (-2 + 0 + 0)*(47*v - 1163*v + 212*v) + (2*v + 1 - 1)*(0 - 5 + 4) as m*v + y and give m.
1806
Express p**4 - 24*p + 23*p + 44*p**2 + 33*p**2 in the form n*p**2 + w*p + b*p**4 + k*p**3 + f and give w.
-1
Rearrange b**3 + 1 + 54*b**2 + 5*b**4 + 52*b**2 + 2*b + 0 + 58*b**2 - 166*b**2 to the form i*b**3 + j*b**4 + z*b + k + l*b**2 and give j.
5
Rearrange 10*a - 4 + 14*a + 9 - 11*a + 5*a to r + n*a and give n.
18
Express 2*h**4 - 15*h**2 + 1 + h - 11*h**2 + 6*h**2 as c*h + i*h**4 + k*h**3 + m*h**2 + z and give i.
2
Rearrange -18*r**3 + 6*r**2 - 15*r**3 - 13*r**3 - 2 + 5*r**3 to the form y*r + q*r**2 + u*r**3 + l and give l.
-2
Rearrange (25 + 1 + 4 + 13)*(-18 + 18 - 10*g**3) to the form f + k*g**2 + w*g**3 + r*g and give w.
-430
Rearrange 87*n - n**3 - 2*n**2 + 2 - 6 + 5 + 0*n**3 to z*n**3 + h*n + u + q*n**2 and give q.
-2
Rearrange -2*u + u - u - 3*u + 0*u + u + u + u - 3*u + (-2*u + u - u)*(3 - 2 + 1) + (-2 + 3 - 2)*(-5 + 5 - 2)*(13*u - 2*u - 4*u) to v*u + k and give v.
5
Express -6*o + 5 + 2*o + 2*o + (-2 + 0 + 0)*(2*o - o + 3*o) in the form y + j*o and give y.
5
Rearrange 0*g**2 + 343 + 101*g**2 - 343 to n*g + r*g**2 + o and give r.
101
Rearrange 13*t - 2*t + 198 - 7*t - 3*t to the form c*t + a and give c.
1
Express -2175 - 30*c**2 - 14*c**2 + 2*c + 2177 in the form q*c**2 + x + l*c and give x.
2
Express (1 - 1 - 2)*(2 - 1 + 1)*(-5 + 4*m + 0*m - 3*m + (3 + 0 - 1)*(-2*m - 3 + 3) + 0 - 5*m + 0) in the form a + h*m and give h.
32
Express 185 - 275 - 2*f**2 + 5*f**2 + 184 in the form q*f + n + j*f**2 and give j.
3
Express 70 - 47 + 1886*r - 4514*r - 23 in the form a + i*r and give i.
-2628
Express -3*r + 130*r**2 - 2*r**3 - 128*r**2 - 12 - r as k*r**3 + z*r + v + a*r**2 and give z.
-4
Express -3 + 11 + 2*p**2 - 11 - 9*p in the form r*p**2 + h + s*p and give r.
2
Rearrange (-1 - 4 + 7)*((-3 + 3 - 2)*(2 - 5 + 4) + 0 - 1 + 0)*(57*o + 16*o + 13*o) to the form w + u*o and give u.
-516
Express 1285 - 3*w + 4*w - 1287 + w in the form y + z*w and give y.
-2
Express -507*t**3 - 2*t**2 - 4*t**4 + 507*t**3 + 6*t**2 + 0*t**4 - t - 10 in the form r*t**3 + y*t + q*t**2 + h*t**4 + g and give g.
-10
Express (-18 + 5 - 16)*(3 + 1 - 2)*(d**3 + 0*d**3 - 3*d**3) in the form r*d**3 + u*d + z*d**2 + t and give r.
116
Rearrange -4*x**3 - 3 + 3 + 205*x**2 - 6*x - 203*x**2 to n + w*x + t*x**3 + i*x**2 and give w.
-6
Rearrange 7 + 56*i + 3*i**3 - 11*i - 7 to m*i**2 + h*i**3 + a + u*i and give u.
45
Rearrange (0 + 0 + 2*n)*(-3741*n**3 + 2088*n**3 - 8679*n**3 - 2755*n**3 - 158*n**3) to the form y*n**3 + i + s*n**2 + d*n + g*n**4 and give g.
-26490
Express -129*k**2 + 104*k**2 - 3 + 1 - 213*k**2 + 0 as b + z*k + x*k**2 and give b.
-2
Rearrange -63 + 5*p + 4*p + 63 to r + c*p and give c.
9
Express -24*b**3 - 8*b**3 + 0*b**3 + (-2*b**3 + 0*b**2 + 0*b**2)*(13 + 14 - 8) as y + r*b**2 + k*b + q*b**3 and give q.
-70
Rearrange -6 - 6 - 64 - 2*c - 40 to the form s*c + m and give s.
-2
Rearrange 2*h**4 - 2*h**3 + h**3 + h - 6360*h**2 + 6367*h**2 to the form p*h**2 + l*h**4 + t + w*h + q*h**3 and give w.
1
Rearrange 70*k + 962*k + 1109*k - 171*k to q*k + u and give q.
1970
Rearrange 2*o + 2 + 133*o**2 - 99*o**2 - 2 to u*o**2 + s + j*o and give u.
34
Express (148*h**3 - 145*h**3 + 433*h**3)*(0*h + 4*h + 0*h) as c*h**4 + j*h + i + v*h**3 + q*h**2 and give c.
1744
Rearrange (13 + 22 + 4)*(6*z - 2*z - 8*z) to q + f*z and give f.
-156
Rearrange 19*p**2 - 2 - 3 - 18*p**2 - 81*p + 3 + 0*p**3 + p**3 to the form n*p + m + l*p**2 + x*p**3 and give x.
1
Express (35*k + 30 - 30 + (2 - 3 - 1)*(2*k - 3*k - k))*(1 - 1 - 2*k) as d*k**2 + r*k + s and give d.
-78
Rearrange 670*l**3 + 3*l**2 + 15 - 16 - 3*l**2 - 940*l**3 to the form h*l + t*l**2 + y + v*l**3 and give y.
-1
Rearrange (42 - 42 - 23*s)*(-2*s + 0 + 0)*(3*s - 2*s - 3 + 12*s) to p*s**2 + d + j*s**3 + o*s and give j.
598
Rearrange (-3*o**3 - o**3 + 2*o**3)*(0 + 0 - 2*o) - 8*o**4 - 153 + 41*o + 155 - 39*o - 3*o**2 to a*o**4 + i + f*o**2 + b*o + g*o**3 and give f.
-3
Express -935*z - 7 + 945*z + 1 as x + s*z and give s.
10
Express h**3 - 1101 + 128*h**2 + 1101 + 32*h**2 in the form l*h**2 + g*h**3 + j*h + w and give l.
160
Rearrange 2*d**2 - 3*d**3 + 2*d**4 + 30543*d - 30543*d to w*d + y + v*d**4 + i*d**3 + j*d**2 and give i.
-3
Express -t**2 + 113 + 4*t**2 - 3*t**2 - 2*t**2 as d*t + y*t**2 + u and give u.
113
Rearrange -62*l - 4*l**2 + 62*l - 5 + (0*l - 2*l + 0*l)*(-2 + 2 + 7*l) to d*l**2 + a*l + j and give d.
-18
Rearrange -13 + 8 + 9 + 26 + 11*p to l*p + j and give l.
11
Rearrange (-6 + 6 + 4*z)*(2*z + 1 - 1) + (-3*z + 0*z + z)*(3 - 3 - z) - 14*z**2 - 8*z**2 + 2*z**2 to the form t*z**2 + x + q*z and give t.
-10
Express -b + 3*b + 0*b - 1489 - 113*b + 1489 + (-3*b + 3*b + b)*(0 + 5 - 4) as y + f*b and give f.
-110
Rearrange 52 - 95 + 45 - 5*f to the form m*f + z and give z.
2
Rearrange -1 + 0*c + c - 26*c**4 - 4*c + 30*c**4 - 4*c to the form t*c**3 + z*c + j*c**4 + w + g*c**2 and give w.
-1
Express (494 - 1969 + 155)*(-2*u + 3*u - 2*u) in the form b*u + z and give b.
1320
Express -33*m**4 - m**3 + 10*m - 11*m + 2 - 3*m**2 + m**2 + 3*m**3 - 3 in the form f + w*m + u*m**2 + c*m**3 + x*m**4 and give x.
-33
Express (0*a**3 + 0*a**3 + a**3)*(-2 - 3 + 1) - 243*a**3 - 181*a**3 + 485*a**3 in the form y*a**2 + p*a + w*a**3 + g and give w.
57
Rearrange (-2*w**3 - 4*w**3 + 0*w**3)*(6 - 3 - 4)*(-99 - 50 + 36 + (2 + 0 + 0)*(0 + 6 - 4)) to d + g*w**3 + x*w**2 + c*w and give g.
-654
Express -14*o**3 + o**2 + 2*o**4 - 3*o**2 - 2*o + 25*o**3 - 24*o**3 + 8*o as s*o**4 + w*o**2 + d*o**3 + p*o + y and give w.
-2
Rearrange -19*k + 5 - 5 + 0 - 84*k to f*k + j and give f.
-103
Rearrange -2785*b**2 + 1390*b**2 - 226 + 1393*b**2 to the form z + y*b**2 + c*b and give z.
-226
Express (-3*y + 6*y + 4*y)*(-130 + 68 + 46) in the form q + k*y and give k.
-112
Express (0 + 3 - 2)*(753*x - 23 - 1507*x + 753*x - 3*x**2) in the form w + q*x**2 + c*x and give w.
-23
Express (12*g**2 + 9*g**3 - 12*g**2)*(2 + 4*g - 2) + (-1 + 1 - 2*g**4)*(-1 - 2 + 4) as n + s*g**3 + h*g**4 + a*g**2 + t*g and give h.
34
Rearrange -5320 + 4*m**2 + 10591 - 5308 to the form p + h*m**2 + d*m and give h.
4
Rearrange (-s - 1 + 1)*(4 + 0 - 2) + 3*s + 511 - 767 + 533 to the form b*s + q and give b.
1
Express (14374*j**2 - 14374*j**2 + 1 + 166*j**3)*(2 + 2 - 3) in the form z*j**3 + x*j**2 + m*j + i and give z.
166
Rearrange -10 - 66*f**3 + f**4 - 8*f + 9*f + 7 + 4 to m*f**4 + j*f**3 + g*f + y + h*f**2 and give j.
-66
Rearrange (-71*r**2 + 18*r**2 - 73*r**2)*(-4*r - 5*r - 2*r) to f*r**3 + u*r**2 + z + g*r and give f.
1386
Rearrange 5947*w + w**2 + 0*w**2 - 5731*w to the form h + f*w**2 + x*w and give f.
1
Rearrange -463*b + 848*b - 492*b to the form h + o*b and give o.
-107
Express 7*v**2 + 0*v**2 + 71 + 0*v**2 + 11*v**3 + 2*v**4 - 71 - 2*v as a*v**2 + n*v**3 + u*v + i + o*v**4 and give n.
11
Rearrange p - 1 + 4*p - 3*p - 3*p - p**3 - 76*p**3 + 2*p**2 to o*p + l*p**2 + n*p**3 + r and give r.
-1
Express 13*p**2 + 46*p**2 - 304*p**2 + (2 - 2 - 2*p)*(4*p - 3*p + p) as v + a*p + x*p**2 and give x.
-249
Rearrange 79*w + 121*w - 25420 + 25422 to the form a*w + k and give a.
200
Rearrange (-105 - 28 + 15 + 30 - 90)*(0*n**2 - n**2 + 0*n**2) to f*n + z*n**2 + b and give z.
178
Rearrange (-18 - 8 + 7)*(6 - 2 - 2)*(-8*p + 3*p - 2*p)*(5 + 1 - 3) to h*p + f and give h.
798
Express -17 + 17 - 11*q - q - q + q + 2*q + (-53 - 102 - 25)*(1 - 1 + q) as c + u*q and give u.
-190
Express v + 0*v**2 - 15*v**4 + 0*v**2 + v**2 + 0*v**2 + 3*v**2 as n*v**2 + u*v**4 + w*v**3 + j + t*v and give t.
1
Express 7 - 16 - 391*x - 861*x + 9 + (-3 + 0 + 5)*(-2*x + x + 0*x) in the form m + g*x and give g.
-1254
Rearrange 657*l**3 - 43*l**2 - l - 33*l**2 - 202*l**3 + 74*l**2 to the form o*l**3 + q*l + r + k*l**2 and give k.
-2
Express (-2 + 2 - 1)*(41 - 20 + 26)*(3*p**2 + 2*p - 2*p) in the form k + h*p**2 + r*p and give h.
-141
Re
|
{
"pile_set_name": "DM Mathematics"
}
|
j = -4*w + 48. Solve 8 = -5*y - w for y.
-5
Let t(u) = -u**2 + 9*u - 8. Let n be t(8). Suppose -4*j + 3*j - 3*o = -8, n = 5*o - 5. Solve 0 = -j*l - 1 + 16 for l.
3
Let x = 74 - 42. Suppose 0 = -2*i + 6*i - x. Solve -2*t + 4*t = i for t.
4
Suppose 0 = 3*k, 3*k + 1 + 11 = 3*z. Solve 0 = -z*g - 8 for g.
-2
Let u(m) = -m**2 - 1. Let g(r) = r**3 - 9*r**2 - r - 1. Let q(z) = g(z) - 5*u(z). Let p be q(4). Let i be (0 - p)/((-8)/4). Solve -s - 3 - 2 = i for s.
-5
Let r = 3 - 2. Solve -2 = -3*m + r for m.
1
Suppose -d + 0*l - l - 4 = 0, -5*l - 20 = -3*d. Solve -c + 2 = -d for c.
2
Suppose 5*u - y = 105, 0 = 4*u - u - 4*y - 80. Let x = -1 - -5. Suppose f = -x*f + u. Solve 1 = 5*q - f for q.
1
Suppose 5*h - 7 = 3. Suppose d = -k + 7 - h, -2*d + 5*k = 4. Solve d*r - 5*r = 0 for r.
0
Let h be -6 + (2 - -1) + (5 - 1). Solve -j + h = -2*j for j.
-1
Let r = 36 - 36. Solve r = -3*q + 3 + 9 for q.
4
Let u(p) = p - 2. Let j be u(6). Suppose -2*t + 3*z = t - 6, 2*z = 6. Solve c - j = -t for c.
-1
Suppose 0 = -6*o + 57 + 51. Let d = 0 - 0. Solve d = -4*q + 2 - o for q.
-4
Let d(j) = -j**3 + 7*j**2 + 10*j - 11. Let q be d(8). Suppose q*b = b. Solve -k + 2 - 3 = b for k.
-1
Let l be (-9)/3*(-2 - -3). Let w be (10/(-15))/(2/l). Solve -q - 3 - w = 0 for q.
-4
Suppose -6*n = -2*n - 20. Let s be (3/2)/(2/4). Solve -n*b - s = -2*b for b.
-1
Let u be 120/(-45)*3/(-2). Solve 0*i + i = -u for i.
-4
Suppose l + o - 3 = 1, -2*o = -l + 1. Let w be l - 2*(2 + -3). Let b = 21 + -18. Solve 7 + w = b*d for d.
4
Suppose 0 = 3*y + y - 8. Suppose y*z = 3*s - 3 - 10, 5*s = 3*z + 22. Solve -z + 5 = -4*w for w.
-1
Suppose -u = -4*u + 15, 21 = -2*h + 5*u. Solve -h*w = 7 - 15 for w.
4
Suppose 0 = 5*d - 20, 0*m + 2*d = -5*m + 28. Let z(q) = -q + 6. Let w be z(m). Let c be (-3)/((-12)/3 - -3) + -1. Solve w*f + 0 = c for f.
1
Suppose 39 = 2*d + d. Suppose -2*a - a + 23 = 4*q, -3*a = -q - d. Suppose 12 = 3*p, q*z - 3*p = 2 - 12. Solve -4*w + 5*w = z for w.
1
Suppose -u + 3*u = -5*s - 25, 2*s - 2*u + 10 = 0. Let k = s - -10. Suppose j = k*j. Solve j = 2*g - 2 - 4 for g.
3
Suppose 4*v + 118 - 320 = -5*g, 0 = 3*v - 2*g - 163. Suppose -3*d + 5*b - 5 = -v, 5*b + 32 = 2*d. Let w be 8/d*20/2. Solve w = -2*c - 1 for c.
-3
Let n(y) = y**3 + 9*y**2 - 6*y + 8. Let v(z) = z**2 - z + 1. Let c(w) = -n(w) + 6*v(w). Let t be c(-4). Solve -4*j - t - 6 = 0 for j.
-5
Suppose 5*d + 3*a = 1, 7 = -d - 2*a + 3. Suppose -2*z = 5*v, -d*v + 16 = -3*z - 3. Solve 0 = -v*q - 0*q - 4 for q.
-2
Let d be 1*2 + 3 + -10. Let i(q) = q**3 + 5*q**2 - 2*q - 4. Let s be i(d). Let l(a) = a**2 + 2*a + 2. Let m be l(-4). Solve m = 4*y - s*y for y.
-5
Let k(i) = i - 6 + 3 + 4*i**2 + 0*i**2 + i**3. Let q be k(-3). Suppose -2*l + 7 = 3. Solve -q*s = l*s + 10 for s.
-2
Let i = 25 - 0. Let j = 15 - i. Let c be j/(-4)*(-64)/(-40). Solve c*r = -r for r.
0
Let s = 117 + -112. Solve 0 = s*n - 2*n - 6 for n.
2
Suppose -5*q + 2*t + 16 = 5*t, -4*q = 4*t - 16. Let p be -1 - (28/(-2) - q). Solve 0*g + p = -3*g for g.
-5
Let n = 34 + -24. Let p be 2/4 + 45/n. Solve -p*y = -0*y + 20 for y.
-4
Suppose 2*w + 0*w = 140. Suppose w = 2*k - 5*n, -3*n - 58 = -2*k - n. Let s(z) = z**2 - 22*z + 49. Let a be s(20). Solve -k = 4*q - a for q.
-4
Suppose -5*w + 73 + 2 = 0. Solve 4*p = -p - w for p.
-3
Let l(i) = i + 3. Suppose 3*y + 5*w = -1, 3*y - 1 - 10 = w. Suppose 4*h + 3*a = 15, -h - y*a = -2*h - 15. Let t be l(h). Solve t*d = 8 + 4 for d.
4
Suppose w + 0*w = -3. Let y be 1*(2 + w)*-1. Suppose -y + 0 = -t. Solve -t = 2*k + 9 for k.
-5
Let u = 7 + -2. Let m = u - 1. Solve 15 = -z + m*z for z.
5
Suppose 168 + 52 = 11*w. Solve -6*j + w = -2*j for j.
5
Suppose 3 = l + 3*j - 7, 3*l - j = 20. Solve -m + l = 6 for m.
1
Let n be (-8)/(-28) - 136/(-14). Let x = n + -10. Solve 0*d - d + 2 = x for d.
2
Suppose 0 = -0*c + 2*c - 4. Let i be (-2)/1 - -5 - -1. Let w(k) = -4*k - 18. Let h be w(-7). Solve c*n - h = i*n for n.
-5
Suppose 0 = 14*w - 13*w. Let j(d) = 0*d**3 - d**3 + d + 0*d**2 - d**2. Let f be j(w). Solve k + 4*k = f for k.
0
Let v be 3/3 + 1 + 13. Suppose q + 3*c + 2 - v = 0, q + c = 9. Suppose q*s - 5*s = 0. Solve -3 = -b - s for b.
3
Let h(i) = -i + 7. Suppose 13 = 5*r - t - 7, 10 = r + t. Let a be h(r). Suppose 5*m + 2*j - 5 = 0, -a*j = -5*m - 7*j + 5. Solve 2*f - 5 = m for f.
3
Let c be 2 + -6 + 3*3. Solve c*s + 9 + 1 = 0 for s.
-2
Suppose 4*k - 2*r - 6 = 0, 0 = 4*k + 5*r - 13 - 0. Suppose 0 = k*y - 62 + 22. Solve 5*z = -0 + y for z.
4
Suppose t - 2*t = r - 5, 5*t = -4*r + 20. Suppose -3*x + 0 + 1 = 5*b, t = -5*x + 10. Let g be (-18)/(-8) - b/(-4). Solve -u + g = 6 for u.
-4
Suppose 17 = 5*y - 23. Let w = -1 + 3. Solve -y = -2*x + w for x.
5
Let p(b) = -b**3 - 7*b**2. Let s be p(-7). Solve s = -3*l - 9 for l.
-3
Let p(a) = a - 10. Suppose -6*r = -5*r - 10. Let v be p(r). Solve v = 2*k + 2*k for k.
0
Suppose -5*d + 6*d = 0. Let y be -1 + (-18)/(2*1). Let l be d*(y/(-4) + -2). Solve l = 2*f + 5 - 1 for f.
-2
Suppose 0 = 5*z - z - 16. Let w = -4 + z. Solve w = -o + 4*o - 6 for o.
2
Let d = 2 + 2. Let i = -4 + d. Solve i*k = 5*k for k.
0
Let i be (-2)/4 + 6/4. Suppose -p - i + 10 = s, p - 4 = 4*s. Suppose 5*f - 4 = -o + 2*f, -4*f = 2*o - p. Solve -n - n = -o for n.
2
Suppose 2*g - 12 = -4. Suppose -3*m = -g + 7. Let v(l) = 9*l**2 - l. Let k be v(m). Solve -p - p = k for p.
-5
Suppose -2*p + 4*p - 2 = -g, -5*g = 4*p + 2. Solve -p*m + 10 = -4*m for m.
-5
Let q = -1 + 1. Suppose -6*f + 42 = 30. Solve 3*g - f*g = q for g.
0
Suppose -2*n = 2*n - 16. Suppose -13 = -3*u + 4*x, 0 = -u - n*x + 3 - 4. Solve 0 = k - u + 4 for k.
-1
Suppose -3*a - 8*a = -3*a. Solve a = -3*c + 12 for c.
4
Let a = 1 + -3. Let y be (a/(-6))/((-1)/(-9)). Suppose -x - 17 = -3*t + x, -3*t - y = 3*x. Solve 4*m - t = 1 for m.
1
Suppose b - 116 = -b - 2*m, 56 = b - m. Let a = 15 - 48. Let h = b + a. Solve -5*k + h = 9 for k.
3
Let u = -1 - -16. Suppose 2*o + 0*o = 10. Solve -o*f - u = -2*f for f.
-5
Let t = 8 - 6. Suppose t*y - 3*y = -3. Solve -y*j = -0 + 3 for j.
-1
Let m(g) = g - 6. Let n(q) = 4*q**2 + 4*q + 9. Let p(w) = w**2 + 1. Let y(r) = n(r) - 3*p(r). Let b be y(-4). Let x be m(b). Solve x = o - 0*o for o.
0
Let b = -5 + 9. Suppose b*h - 26 = -t, -3 = 3*t - 5*h + 4. Let o be (-4)/t - 33/(-9). Solve 0 = -o*n + 8*n - 25 for n.
5
Let i(f) = -f**3 + 4*f**2 + 2*f - 5. Let s be i(4). Suppose 0 = -q + s*q. Let m = 0 + 2. Solve m*w + 0*w - 8 = q for w.
4
Let p = 7 - 5. Suppose 5*x - p*s = -5*s + 21, s + 27 = 4*x. Solve -5*l - 14 - x = 0 for l.
-4
Let p(a) = a**3 - 5*a**2 + 14*a - 40. Let o be p(4). Solve 4*w - 14 - 2 = o for w.
4
Let d(j) = j**3 + j**2 - j - 1. Let i be d(-1). Solve i = n + 2*n + 6 for n.
-2
Suppose 2*n + 11 + 3 = 0. Let c(d) = d**3 + 8*d**2 + 6*d - 4. Let w be c(n). Solve -w*h = -h for h.
0
Suppose 3*j + j = 8. Solve 3*t = -j + 5 for t.
1
Suppose -u + 0*u + 2 = 0. Let c(q) = q**2 + 4*q - 5. Let v be c(-6). Let o = -4 + v. Solve -r + u + o = 0 for r.
5
Suppose 0 = 4*n - y - 8, -4*n + 2*y - 8 = -3*y. Solve -x = -n*x for x.
0
Suppose 4*j + z - 3 = 0, -5*z - 6 = j - 21. Solve -4*o = 8 - j for o.
-2
Let j = 8 - 5. Let s be (-2)/(-8) + j/(-12). Let y = -3 - -8. Solve s = -y*u - 31 + 6 for u.
-5
Suppose -5*j - j + 42 = 0. Solve -c - 5 = -j for c.
2
Let b be (-5 - -8) + 0/(-3 - -5). Solve -b*k + 19 - 4 = 0 for k.
5
Let d = 23 - 21. Solve -d*h + 0 = -4 for h.
2
Let h = -13 + 15. Let l(m) = -3. Let p(o) = -o - 1. Let d(i) = l(i) - 3*p(i). Let v be d(h). Solve v*a = a - 10 for a.
-2
Let g = -7 + 7. Solve g*r - 2*r - 8 = 0 for r.
-4
Suppose 2*d = 4*n + 20, 2*d + 4*n + 1 + 19 = 0. Solve d = -5*z + 4*z - 5 for z.
-5
Suppose -11*x + 74 = 19. Solve x - 10 = -5*d for d.
1
Suppose -4*d = i - 3*d - 1, -5*i + 21 = d. Suppose -2*p + 0*p = -i*n - 28, -2*n = 2*p. Suppose p*c - 4 - 4 = 0. Solve -1 = -k + c*k for k.
-1
Let a be 6*(-2)/(-1) - 0. Let m = a - 0. Let t be 4/(-6) + 4/6. Solve t = -2*b - b - m for b.
-4
Suppose -2 + 22 = 5*o. Let j be 2*5*2/o. Suppose -51*r + 47*r = -12. Solve -2*m - j = r*m for m.
-1
Suppose 0*o = d + 4*o + 5, 3*d = -3*o + 3. Suppose -d*h = -h - 22. Suppose 4 = -10*x + h*x. Solve 0 = t + t - x for t.
2
Suppose -6 = 2*h, -5*x - h - 3*h = 12. Solve -m - 6 + 9 = x for m.
3
Let l(q) = q**3 + 0*q + 3*q**2 - 3*q - 2*q**3 - 6 + 3*q**2. Let x be l(5). Solve -2*o - 2 = -x*o for
|
{
"pile_set_name": "DM Mathematics"
}
|
).
-3*f**2*(f - 2)
Let w(t) be the first derivative of 1/24*t**4 + 12 - 1/6*t + 1/4*t**2 - 1/6*t**3. Factor w(h).
(h - 1)**3/6
Let v(i) be the first derivative of 2*i**5/5 - i**4 + 2*i**2 - 2*i + 125. Factor v(a).
2*(a - 1)**3*(a + 1)
Let z(y) be the first derivative of -3 - 3/4*y**4 - 12*y**2 - 12*y - 5*y**3. Determine w so that z(w) = 0.
-2, -1
Suppose 69*v**2 + 168*v + 66/7*v**3 + 0 + 3/7*v**4 = 0. Calculate v.
-8, -7, 0
Let y = -17452/3 + 5874. Let c = -56 + y. Factor c*t**4 + 0 + 0*t + 8/3*t**2 - 8/3*t**3.
2*t**2*(t - 2)**2/3
Let k(b) = b**4 + b**3 + b**2 + b - 1. Let y(v) = 18*v**4 + 37*v**3 - 4*v**2 - 2*v + 2. Let d(f) = -4*k(f) - 2*y(f). Suppose d(w) = 0. Calculate w.
-2, 0, 1/20
Suppose -2*g + 19 - 1 = 0. Let q be (-12)/(-54) - (-16)/g. Suppose 4 + 2*h**5 + 2*h**4 + 2*h - 8*h**q - 2*h**4 - 4*h**3 + 4*h**4 = 0. What is h?
-2, -1, 1
Let c(x) = x + 28. Let a be c(-26). Let -3*u**2 + 560*u - 2*u**a - 560*u = 0. What is u?
0
Solve -240/7*n**2 - 3/7*n**4 + 57/7*n**3 - 300/7*n + 0 = 0.
-1, 0, 10
Let r(k) = k**3 + k**2 - 2*k + 2. Let j(n) = -2*n**3 - 3*n**2 + 5*n - 5. Let l(s) = -2*j(s) - 5*r(s). Let w be l(-1). Factor 3*u**2 - u**2 - w - 2*u + 2.
2*u*(u - 1)
Let f(o) = 108*o**4 - 196*o**3 - 392*o**2 - 128*o + 8. Let k(y) = 36*y**4 - 66*y**3 - 131*y**2 - 42*y + 3. Let n(g) = -3*f(g) + 8*k(g). Factor n(m).
-4*m*(m - 3)*(3*m + 2)**2
Let d(q) be the third derivative of -q**6/180 - q**5/3 - 25*q**4/3 - 1000*q**3/9 + 157*q**2. Factor d(s).
-2*(s + 10)**3/3
Let x(w) be the second derivative of -3*w**5/160 - w**4/32 + w**3/4 + 3*w**2/4 + 81*w. Factor x(m).
-3*(m - 2)*(m + 1)*(m + 2)/8
Let k(z) be the first derivative of z**4/10 - 8*z**3/15 - z**2/5 + 8*z/5 - 69. Factor k(s).
2*(s - 4)*(s - 1)*(s + 1)/5
Let h(d) be the second derivative of d**6/160 + 3*d**5/80 + d**4/16 - 3*d**2 - d. Let m(k) be the first derivative of h(k). Factor m(n).
3*n*(n + 1)*(n + 2)/4
Let x(v) be the third derivative of -v**5/72 - 35*v**4/72 - 10*v**3/3 - 59*v**2. What is c in x(c) = 0?
-12, -2
Determine b so that -1/5 + 1/5*b**3 + 1/5*b**2 - 1/5*b = 0.
-1, 1
Let p(b) be the first derivative of 3/2*b**6 + 3/4*b**4 + 0*b - 26 + 6*b**5 + 0*b**2 - 6*b**3. Suppose p(t) = 0. Calculate t.
-3, -1, 0, 2/3
Let g(o) be the third derivative of -1/112*o**8 + o**2 + 1/10*o**7 + 0*o**3 - o**4 + 0*o - 9/20*o**6 + o**5 + 0. Find w, given that g(w) = 0.
0, 1, 2
Let m = 8 - 5. Factor 5*f - 5*f**3 - 6 - 5*f**2 + 14 - m.
-5*(f - 1)*(f + 1)**2
Let d be (7/4)/(((-26)/4568)/13). Let s be (-1)/6 + -7 + d/(-546). What is c in 2/13*c**4 + 0 - 2/13*c**3 - s*c**2 + 2/13*c = 0?
-1, 0, 1
Let t = -591 - -411. Let y be (16/(-10))/(108/t). Factor 1/3*f**3 - 2/3*f**2 + y*f**4 + 5/3*f**5 + 0 + 0*f.
f**2*(f + 1)**2*(5*f - 2)/3
Solve -a**3 + 1/5*a**5 - 1/5*a**4 + a**2 - 4/5 + 4/5*a = 0 for a.
-2, -1, 1, 2
Suppose 0 = -29*o + 4*o. Let b = 3 - 1. Factor -1 + 2*w**3 + w**2 + o*w**3 - b*w - 3*w**3 + 3*w.
-(w - 1)**2*(w + 1)
Let i(g) be the first derivative of 5*g**9/756 + g**8/210 - 22*g**3/3 - 23. Let l(w) be the third derivative of i(w). Suppose l(z) = 0. Calculate z.
-2/5, 0
Let u(s) = -8*s**2 + 24*s. Let n(j) = -j**2 - j. Let f(o) = 4*n(o) - u(o). What is k in f(k) = 0?
0, 7
Let y(s) = -6*s**4 + 5*s**3 - 8*s**2 + 9*s. Let v(i) = -i**4 + i. Let u be 1/(3/45*-3). Let d(m) = u*v(m) + y(m). Factor d(z).
-z*(z - 2)**2*(z - 1)
Let a be (-4)/((-16)/12) + -1. Suppose -4*z + 4 = -4*x, -5*z - 4 = 3*x - 33. Suppose 13*o + 17 + 3 + 3*o - z + 4*o**a = 0. Calculate o.
-2
Suppose 3/4*m**4 - 3/4*m**3 - 3*m**2 + 0 + 3*m = 0. What is m?
-2, 0, 1, 2
Let d be (-38)/78*(2 + 1)*1. Let l = 265/39 + d. What is q in 8/3*q**2 - 1/3*q - l*q**3 + 0 = 0?
0, 1/4
Let t(q) = -q**3 - 3*q**2 + 9*q + 4. Let i be t(4). Let u = -285/4 - i. Determine m so that u*m - 1/8*m**2 - 9/8 = 0.
3
Let n(w) be the second derivative of -1/4*w**4 + 0*w**2 + w**3 - 3*w + 0. Find v, given that n(v) = 0.
0, 2
Let u(i) be the first derivative of -i**6/72 + 13*i**5/180 + i**4/12 - 3*i**2 + 19. Let l(t) be the second derivative of u(t). Factor l(v).
-v*(v - 3)*(5*v + 2)/3
Let r = 678 - 678. Let k(g) be the second derivative of r + 8*g - 1/5*g**5 - 5/12*g**4 - 1/3*g**3 + 0*g**2 - 1/30*g**6. Factor k(s).
-s*(s + 1)**2*(s + 2)
Let b(a) = -a**3 - 12*a**2 - 21*a - 252. Let l be b(-12). Solve 1/5*f + 1/5*f**3 + l + 2/5*f**2 = 0.
-1, 0
Let d(t) be the first derivative of 3*t**5/5 + 9*t**4/4 - 3*t**3 - 33*t**2/2 - 18*t - 45. Determine v so that d(v) = 0.
-3, -1, 2
Suppose 0 = -27*o - 34 + 115. Let k(x) be the first derivative of -5 - 1/3*x**2 + 2/9*x**o + 0*x. Suppose k(w) = 0. What is w?
0, 1
Factor 22*o**2 + 13*o - 16*o**2 + 262*o + 90 + 9*o**2.
5*(o + 18)*(3*o + 1)
Let a be (-96)/216*(-4 - 75/(-20)). Let g(h) be the first derivative of a*h**2 + 2/27*h**3 + 1 - 1/18*h**4 - 2/9*h. Factor g(x).
-2*(x - 1)**2*(x + 1)/9
Let b(w) = 2*w - 4. Let p be b(3). Factor 2*l**4 - 2*l + 2*l**4 - p*l**2 - 2*l**4 + 2*l**3.
2*l*(l - 1)*(l + 1)**2
Let w = 2/1483 + 1477/4449. Factor 0 + w*r - 1/3*r**2.
-r*(r - 1)/3
Let i be (-20)/(-14)*-12*(7/(-105))/1. Find s such that -2/7*s + 0 + 8/7*s**2 - i*s**4 + 2/7*s**3 = 0.
-1, 0, 1/4, 1
Let s(o) be the third derivative of o**6/15 - 5*o**5/6 + 7*o**4/2 - 3*o**3 - 130*o**2. Determine w, given that s(w) = 0.
1/4, 3
Let s be (-8 - 15/(-3)) + (0 - -5). Determine q so that 1/2*q**s - 1/2*q - 1 = 0.
-1, 2
Let p(v) be the second derivative of v**9/22680 - v**8/5040 - 23*v**4/12 + 12*v. Let k(w) be the third derivative of p(w). Factor k(m).
2*m**3*(m - 2)/3
Let z(k) = 4*k**4 - 41*k**3 + 110*k**2 - 108*k + 40. Let q(j) = 4*j**4 - 40*j**3 + 108*j**2 - 108*j + 40. Let n(t) = 5*q(t) - 4*z(t). Factor n(r).
4*(r - 5)*(r - 2)*(r - 1)**2
Factor -60/7*g**2 - 1936/7 + 2/7*g**3 + 594/7*g.
2*(g - 11)**2*(g - 8)/7
Let z(s) = -8*s**3 + 23*s**2 + 16*s - 5. Let i(h) = 4*h**3 - 13*h**2 - 8*h + 3. Let l(x) = -5*i(x) - 3*z(x). Suppose l(g) = 0. Calculate g.
-1, 0, 2
Find m, given that -768 - 48*m - 3/4*m**2 = 0.
-32
Suppose -2*g = -0*m + 4*m + 14, 2*g + 10 = -3*m. Suppose -185*w = -182*w - b - 2, 4*w - 4*b = -8. Factor w + 3 + g - y**2 - 2.
-(y - 2)*(y + 2)
Let z(b) = -2*b - 10. Let l = -57 + 50. Let u be z(l). Solve -2*i**3 - 26/9*i**u + 0 + 4/9*i - 10/9*i**5 + 2/9*i**2 = 0.
-1, 0, 2/5
Suppose 548 - 508 = 10*v. Factor -6 - v*w - 2/3*w**2.
-2*(w + 3)**2/3
Let b(f) = -4*f**3 - 2*f**2 + 8*f + 9. Let i be b(-4). Solve 201*v - 16*v**4 - i*v + 4*v**5 - 8*v**2 + 20*v**3 = 0 for v.
0, 1, 2
Let t(w) be the second derivative of 7*w - 1/6*w**4 + 0*w**3 + 0 + 0*w**2 - 1/30*w**6 - 3/20*w**5. Solve t(i) = 0 for i.
-2, -1, 0
Let w be 20/300*0 + 2*1. Let m(q) be the second derivative of 0*q**w + 0 + 2*q - 6/5*q**5 + 1/2*q**4 + 2/3*q**3 + 7/15*q**6. Determine d so that m(d) = 0.
-2/7, 0, 1
Let d(a) be the third derivative of a**7/105 + a**6/10 + 13*a**5/30 + a**4 + 4*a**3/3 + 2*a**2 + 3. Suppose d(y) = 0. What is y?
-2, -1
Let r(w) be the first derivative of -w**4/18 - 2*w**3/27 + 4*w**2/3 + 607. Factor r(z).
-2*z*(z - 3)*(z + 4)/9
Let i(f) be the third derivative of -f**7/735 - f**6/105 + 11*f**5/105 + f**4/21 - f**3 + 418*f**2. Let i(z) = 0. Calculate z.
-7, -1, 1, 3
Let w(g) = -5*g**4 + 5*g**3 + 9*g**2 - 5*g. Suppose 3*f = -3*f - 36. Let q(o) = -o**3 - o**2 + o - 1. Let h(c) = f*q(c) - 3*w(c). Factor h(j).
3*(j - 1)**2*(j + 1)*(5*j + 2)
Let j = -96 + 68. Let y = -25 - j. Let 1/2 - u**4 - 9/4*u + 1/2*u**2 + 9/4*u**y = 0. Calculate u.
-1, 1/4, 1, 2
Suppose 0 = 237*x - 365 + 189 - 535. Factor -1/3*j**4 - 2/3*j + 2/3*j**x + 0*j**2 + 1/3.
-(j - 1)**3*(j + 1)/3
Let a = 5 - 16. Let j be (-2)/3*(a + 8). Suppose 0 - 4/3*p + 4/3*p**j = 0. Calculate p.
0, 1
Let x(c) be the first derivative of 0*c**3 + 1/20*c**4 + 2/5*c - 15 - 3/10*c**2. Factor x(l).
(l - 1)**2*(l + 2)/5
Let d(k) = -1. Let s(u) = 4*u**2 + 24*u + 56. Let f = 3 + -2. Let g(c) = f*s(c) + 24*d(c). Let g(h) = 0. What is h?
-4, -2
Let z(r) be the third derivative of -1/18*r**4 + 0*r + 1/504*r**8 + 1/105*r**7 + 1/180*r**6 - 1/30*r**5 + 0 + r**2 + 0*r**3. Solve z(d) = 0 for d.
-2, -1, 0, 1
Let s(d) be the third derivative of 0 + 1/42*d**4 - 14*d**2 + 1/21*d**3 + 1/210*d**5 + 0*d. What is k in s(k) = 0?
-1
Factor x**4 + 133*x**2 + 14*x**3 + 36 + 84*x - 296*x**2 + 224*x**2.
(x + 1)**2*(x + 6)**2
Suppose -26*f**2 - 28*f**2 - f**4 + 215*f**3
|
{
"pile_set_name": "DM Mathematics"
}
|
r.
16
Rearrange -65*h**2 - 20*h**2 - 11702 + 11812 - 2*h**2 to k + m*h**2 + a*h and give m.
-87
Rearrange (-109 + 720 + 774)*(9*n - 11 + 11) to the form a*n + y and give y.
0
Rearrange -g**3 + 15 + 22 - 23329*g + 23280*g - 3 - 10 to k*g**2 + j*g**3 + x + m*g and give x.
24
Express 211*x**2 + 6*x + 322*x**2 - 228*x**2 + 295*x**2 + 10*x as l + a*x + j*x**2 and give j.
600
Rearrange -2857048*d + 5*d**3 + 9*d**2 - 1 + 2857048*d to p*d**2 + n*d**3 + q*d + z and give z.
-1
Express 64 - 24 - 7791*w**2 - 40 in the form y*w**2 + k*w + b and give y.
-7791
Rearrange (-4*c + 0*c + 2*c)*(-142*c - 151*c - 127*c - 149*c + 174764*c**2 + 569*c) to p*c + w*c**2 + i + o*c**3 and give o.
-349528
Rearrange -19*r**3 + 18*r**3 + 2*r - 75 - 4*r**2 + 72 to the form k + l*r + d*r**3 + m*r**2 and give d.
-1
Express (y + 0 + 0)*(-y - 3*y + 3*y) + 34 + 5*y**2 - 34 + y**2 + 2*y**2 + y**2 + 0 - 2*y**2 + 0 as t*y + g*y**2 + r and give g.
6
Express (-947 - 200 - 933 - 248 + 419 - 172)*(2*b**3 - b**3 + b**3) as f*b**3 + q*b**2 + w*b + m and give f.
-4162
Express (2 + 0 + 0)*(-2*u**3 - 2*u**3 + 3*u**3) + 479892 - 479892 + 457*u**3 as o*u**2 + m*u**3 + z*u + v and give m.
455
Express -1 - 9404*i**2 - i**3 + 22*i + 53*i + 4704*i**2 + 4701*i**2 - 2*i**4 as t*i**3 + w*i + j*i**4 + c*i**2 + g and give j.
-2
Express -10*f**3 - 15*f + 6*f**3 + 2*f**4 + 18*f + 3*f**2 - 24*f**2 - 8*f**3 in the form t + x*f**2 + v*f**4 + b*f + m*f**3 and give x.
-21
Express 841*z**2 + 344*z - 521*z + 174*z as w*z**2 + k*z + m and give w.
841
Express (-3 + 15 + 38)*(h - h + h**2)*(-19 - 26 + 3 + (-3 + 4 + 1)*(-1 - 6 + 5)) as f + g*h**2 + s*h and give g.
-2300
Rearrange ((f + 1 - 1)*(-2 - 1 + 5) + 5*f - 2*f - 4*f)*(3963*f**2 + 4216*f**2 - 7848*f**2) to v + w*f**3 + l*f + k*f**2 and give l.
0
Express -1 - 163*w**2 + 180*w**3 + 160*w**3 + 3*w - 342*w**3 as s*w**3 + r*w**2 + h + n*w and give s.
-2
Rearrange 4*z**3 + 4*z**3 - 5*z**3 + (-8*z + 13*z + 17*z)*(-3 + 0*z**2 - 7*z**2 + 6*z**2) to the form a*z**3 + o + b*z**2 + p*z and give p.
-66
Express (-4 - 1 + 6)*(-17 - 81*h + 139*h - 134*h) + (-1 + 1 + 2*h)*(4 + 1 - 3) in the form q + t*h and give t.
-72
Rearrange -58*d - 148*d + 2298 - 2295 to the form r + o*d and give r.
3
Rearrange (-659 + 1036 - 521)*(-5 + 4 + 3)*(-j**2 + j**2 - 3*j**3) to u + w*j**2 + a*j**3 + l*j and give a.
864
Express -23*s**4 + 5*s - 6*s + 39 - 57 + 57*s**4 - s**3 in the form j*s + f + o*s**3 + q*s**4 + a*s**2 and give j.
-1
Rearrange (4*x**3 + 0*x**3 - 3*x**3)*(-6062 - 381*x + 6062) - 6 + 2*x**4 - 4*x**4 + 4 to the form h*x + m*x**3 + q + l*x**4 + n*x**2 and give m.
0
Rearrange 6373*k**2 + 7*k - 7*k - 707 - k**3 - 6373*k**2 to the form f*k + d*k**2 + t + i*k**3 and give i.
-1
Express -32 + 62 - 410*a - 33 + 68*a in the form q*a + j and give q.
-342
Express 617 - 3*h**2 + h**3 + 5*h + h**2 - 678 + 0*h**2 in the form t*h**2 + m*h + w + n*h**3 and give n.
1
Rearrange 4*y**2 - 5*y**2 - y**2 + (96 - 101 + 136)*(-3*y**2 - y**2 + 3*y**2) - 3*y**2 - 2*y**2 + 2*y**2 to the form t + k*y + x*y**2 and give x.
-136
Express -7*y**4 - y - 417*y**2 - y + 12*y**4 + 0*y**4 - 6*y**4 in the form l + s*y**4 + o*y**2 + h*y + x*y**3 and give s.
-1
Express (-7 + 3 + 1)*((-2 + 6 - 3)*(-7*c + 3*c + 3*c) - c - 2*c + c + (-2*c - 2*c + 5*c)*(0 - 6 + 4) + 0 + 0 - c) as s + o*c and give s.
0
Express (-60 + 25 - 34)*(-41*y + 14*y + 11*y - 20 + 11*y) in the form m + p*y and give m.
1380
Express (-169*v + 165*v - 5 - 5)*(-31 + 3*v**2 - 3*v + 31 + (13 - 5 + 3)*(5*v**2 - 2*v**2 - 4*v**2)) as q*v**2 + s*v + x*v**3 + w and give q.
92
Rearrange (20538 - 20529 - 958*j + 231*j)*(0*j - j + 2*j) to the form d*j**2 + i + f*j and give d.
-727
Express (248 + 367 - 131)*(-5*h**2 + 2*h**2 + 2*h**2 - 3*h + 3*h - h**2 + (-2 + 5 - 4)*(-22 + 6*h**2 + 22)) as d*h**2 + p + z*h and give d.
-3872
Express (2*j**3 - 3 + 3)*(-1694 - 1489 - 1692) as o*j**3 + i*j**2 + a*j + d and give o.
-9750
Rearrange -757 + 9094*v + 377 + 380 to the form d + s*v and give s.
9094
Rearrange 7*k**3 - 3*k**3 - 10 - k**2 - k**4 - 2*k**2 + 12*k**3 + 3*k**3 to the form w*k**3 + r*k**4 + z*k**2 + y*k + s and give s.
-10
Rearrange -6*m**2 + 6 + 57*m + 19 - 21 to q*m**2 + z*m + w and give w.
4
Express 132*i**2 - 46*i**2 - 27*i**2 - 38*i**2 + 55*i**3 in the form w*i**3 + o + v*i + f*i**2 and give v.
0
Rearrange -8715 + 4356 + 4359 - 3*g**2 - g**3 + 13*g to the form n*g**2 + b*g**3 + h*g + m and give n.
-3
Express -17746*k + 2399888 - 2399888 as n + y*k and give y.
-17746
Express (-1178*c + 1545 - 1545)*(3*c + 15 - 15) in the form q*c + r*c**2 + g and give r.
-3534
Express -7650*m + 2530102 - 2530102 as f + c*m and give c.
-7650
Express -15548*d - 4172*d + 4830*d in the form g*d + l and give g.
-14890
Express -7859*r**4 + 2*r**3 + 7854*r**4 - 4*r + 4*r**3 as k*r + t*r**2 + f*r**4 + v*r**3 + x and give k.
-4
Express 13*n + 24*n - 624 - 27 + 22*n - 55*n in the form j + i*n and give j.
-651
Rearrange (2 + 2*m**3 - 2)*(2 + 2 - 6)*(40 - 11 + 34)*((0 - 1 + 3)*(-2 - 4 + 5) + (0 - 1 + 2)*(-1 - 3 + 5)) to i*m**3 + c*m + d + g*m**2 and give i.
252
Express 16966 - 5522*b + 16960 - 33926 in the form u*b + d and give d.
0
Rearrange 9032 + 0*f - 5603*f**2 - 9032 - 2*f + 0*f to the form z*f + d*f**2 + y and give d.
-5603
Express -19 + 5 + 12 + 3 + q - 4*q + 82*q**2 in the form g*q**2 + r + v*q and give v.
-3
Express 345*a - 967*a + 3 - 401*a - 1224*a in the form s*a + b and give b.
3
Express -12996 - 12997 + 25993 - 5412*d - 5054*d as v + m*d and give m.
-10466
Express -1132*m + 565*m + 565*m - m**3 + 15*m**2 + 157*m**2 + m**2 as j*m**2 + i*m + b + z*m**3 and give z.
-1
Rearrange 517*v + 613*v - 173*v to c*v + j and give c.
957
Express -97*h - 2090 + 2090 + (-3*h - 3*h + 3*h)*(0 - 1 - 1) - 1 + 1 + 3*h + (-4*h - h + 4*h)*(-2 + 1 + 0) as b*h + a and give b.
-87
Rearrange (c - c + 2*c)*(71 - 71 - 12*c**3) - 355*c + 642*c + 4*c**4 - 382*c to w*c**3 + o*c**2 + m*c**4 + i*c + s and give m.
-20
Express 50 - 20*u**2 - 3*u + 5*u**2 + 16*u**2 + 2*u**4 - 10*u**2 + u in the form j*u**2 + b + h*u + c*u**3 + k*u**4 and give h.
-2
Express -10 + z - 2*z**4 + 680*z**3 + 6 - 1362*z**3 + 680*z**3 + 7*z**2 as m + p*z**4 + t*z + s*z**2 + w*z**3 and give t.
1
Express -2*j**2 + 52*j - 430*j + 43*j + (0*j + 0*j + 2*j)*(2*j - 2*j - 2*j) + j**2 + 2 - 2 - 3*j**2 + 2*j**2 - j**2 in the form n + p*j + r*j**2 and give p.
-335
Express 16 + 0 + 382*j - 6 - 4 - 20 as n + m*j and give n.
-14
Express (1 - k - 1)*(5*k**2 - 2*k**2 - 5*k**2) + 50840*k**2 + 3421*k**3 - 50840*k**2 + 2*k**3 + 4 - 4 in the form t + c*k**2 + h*k + s*k**3 and give s.
3425
Rearrange (-27 + 38 + 46)*(w + 7 - 7)*(16 + 10 - 8) to f + h*w and give h.
1026
Express 2103*w**2 - 3842*w + 1 - 2107*w**2 + 3880*w + 2*w**3 as d + z*w + s*w**2 + i*w**3 and give z.
38
Rearrange 17*m**2 + 715*m + 10*m**3 + 0 + 1 - 721*m to t*m + f*m**2 + l + z*m**3 and give z.
10
Rearrange -305 - 271 - 15 + 4*m**2 to z*m + k*m**2 + u and give z.
0
Express 120*n**3 + 141*n**3 - 241*n**3 + 107*n**2 as k*n**2 + a*n**3 + d*n + b and give a.
20
Express (52*t + 1 - 36*t - 172*t)*(-5*t - 2*t + t)*(0 - 3*t**2 + 0) in the form f + y*t + m*t**3 + v*t**4 + o*t**2 and give v.
-2808
Rearrange (4 - 4 - 2*l**3)*(13 - 23 - 91) + (-6*l + 2*l + 2*l)*(-l**2 - 5*l**2 + 3*l**2) - 4*l**3 + 5*l**3 - 4*l**3 to c*l**2 + k*l**3 + w*l + p and give k.
205
Rearrange 2*g**2 - 914539*g + g**2 - g**4 + 10 + 914540*g - g**2 to the form y + z*g + m*g**4 + c*g**3 + h*g**2 and give y.
10
Rearrange 3*r**2 - 429*r - 9*r**3 + 3 + 142*r + 0 + 142*r + 143*r to i*r**2 + v + h*r + f*r**3 and give i.
3
Rearrange -58 - 42*p**2 + 58 + 2*p - 38912 - 354*p**2 + 38912 + (-1 + 0 + 2)*(-2*p**2 - 3*p**2 + 6*p**2) to k + o*p**2 + h*p and give o.
-395
Express -2295*s**2 - 1691*s**2 + 531*s**2 in the form m*s + z + p*s**2 and give p.
-3455
Rearrange 49 - 301 - 5 - 253 + 4*m + 36 to r*m + b and give r.
4
Express (-1005 + 2574 - 1000)*((2*d - 1 + 1)*(-4 + 4 + 5) + (-3 + 3 - 2*d)*(-2 - 3 + 2)) in the form q*d + v and give q.
9104
Rearrange 3*z**2 - 87*z**3 + 45*z - 49*z + 13*z**3 - z**2 to the form y*z + t + n*z**2 + w*z**3 and give w.
-74
Express -107*v + 106*v - 89 + 183 - 61 in the form o + r*v and give o.
33
Express (-5*o + 6*o + 4*o)*(8*o + 6 - 6)*(35 + 30 - 173) in the form g*o + z + j*o**2 and give g.
0
Express -5*p**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
5) + 291600
Simplify 2 + sqrt(44)/(sqrt(4) + sqrt(196)*1 + sqrt(4)) + 1 + sqrt(66)/sqrt(150) + 0.
14*sqrt(11)/45 + 3
Simplify (sqrt(637) + sqrt(637)*-1 + 3)**2 + 3 + 2*sqrt(637) + 4 + ((sqrt(637) - (-4 + sqrt(637)))**2 + -1 - (4 + sqrt(637) + -3)).
7*sqrt(13) + 30
Simplify (-3 + 3 + (3 + sqrt(242))*-4 + -3 + 1)**2.
1232*sqrt(2) + 4068
Simplify (5 + (4*(1 + sqrt(245) - sqrt(245) - sqrt(245)) - 1*sqrt(245)*4))**2 - ((0 + sqrt(245))*-5 + -1 + sqrt(245) + 0)**2.
-1064*sqrt(5) + 11840
Simplify (sqrt(99)/sqrt(48))/((sqrt(24)*-1)/sqrt(8)) + -5 + (sqrt(891)*-2 - ((sqrt(33)/sqrt(3))**2 + -2)).
-73*sqrt(11)/4 - 14
Simplify (-1*((sqrt(3072) - (sqrt(3072) + 0)*-5)*-3 + (-1 + (sqrt(3072) - (sqrt(3072) + sqrt(3072) + -1)) - (sqrt(3072) + -2*sqrt(3072) + 2)) + 2))**2.
995328
Simplify (-4*1*sqrt(77))/((sqrt(33)*-2)/sqrt(3)) - ((sqrt(7) - (sqrt(7) - (sqrt(7) + -4))) + -2 + sqrt(7) - (sqrt(7) + 3 + 0))**2.
-88 + 20*sqrt(7)
Simplify (sqrt(325) + (0 + sqrt(325) + sqrt(325) + -3)**2 + -5 - (3 + 5 + (sqrt(325) - (-1 + sqrt(325))))**2) + -1.
-55*sqrt(13) + 1222
Simplify (-3*1*sqrt(363)*-3*-6 + ((sqrt(363) + -1*sqrt(363) + sqrt(363) + sqrt(363) + -4 - sqrt(363)) + 4 + 1 + sqrt(363))*-3)**2.
3960*sqrt(3) + 1306809
Simplify 3*(1 + (sqrt(51)/(2*sqrt(363) + sqrt(3) + sqrt(3)) - ((sqrt(170)/(sqrt(70)/sqrt(7)))**2 + -3)) + 3).
-30 + sqrt(17)/8
Simplify (6*1*((sqrt(128) - (sqrt(128) + 0)*6) + sqrt(128)*-1*4 - (-1 + (1 + sqrt(128))*-4)))**2.
-14400*sqrt(2) + 116100
Simplify 1*((4 + (3 + sqrt(208))*-5)**2 - (-4*(sqrt(143)/sqrt(11))**2 + (-2*sqrt(208))**2)).
440*sqrt(13) + 4541
Simplify 3 + (sqrt(56)/(sqrt(8) + sqrt(32)/sqrt(4)) - (-5 + sqrt(14)/sqrt(2)) - (-2 + (sqrt(7) - sqrt(28))*-5*2)).
-21*sqrt(7)/2 + 10
Simplify -5*((sqrt(2299)*1 + 2 + (sqrt(2299) + 0 - sqrt(2299)) + 3)*-3*-2)**2*-1.
19800*sqrt(19) + 418320
Simplify -3*6*-6*(sqrt(1377) - (1*(3*sqrt(1377) - sqrt(1377)) - sqrt(1377))**2)*4*6*-2.
-46656*sqrt(17) + 7138368
Simplify 1*(1*sqrt(600)*1)/(-3*3*sqrt(363))*6.
-20*sqrt(2)/33
Simplify 1 + ((sqrt(704) - (4 + sqrt(704) + -1))**2 - (sqrt(704) + (-2*(0 + sqrt(704)))**2)) + (-2*-2*1*sqrt(704))**2.
-8*sqrt(11) + 8458
Simplify (3 + -6*(sqrt(128) + sqrt(128)*-3) - (-4 + (sqrt(6)/(sqrt(3)*1) - (-4 + sqrt(2)*-2))**2))*1.
-27 + 72*sqrt(2)
Simplify (-1 + (-5*(sqrt(288) + -2) + 1)**2 + 2*sqrt(22)/(-3*sqrt(1584)))*-2.
-14640 + 23761*sqrt(2)/9
Simplify 2*((2 + sqrt(2)*1 - sqrt(2)*2*3) + sqrt(4)/(sqrt(18) + sqrt(2))*3*4).
-4*sqrt(2) + 4
Simplify -3 + ((2*-3*sqrt(468) + -6*2*sqrt(468))*-6*5)**2 + -2.
136468795
Simplify ((sqrt(72)/sqrt(3))/sqrt(8) + 1 + 5 - ((-4*sqrt(1728))**2 + -3)) + 2.
-27637 + sqrt(3)
Simplify -3*1*-4*((sqrt(20) - sqrt(180)*2)/(2*(sqrt(10) + sqrt(160)))*5 + 0).
-30*sqrt(2)
Simplify -3 + -3*(1*sqrt(190)*-1)/(sqrt(40)/(sqrt(4)*3))*-3.
-27*sqrt(19) - 3
Simplify ((sqrt(7) + sqrt(343)*2 + (sqrt(63) - (sqrt(63) + sqrt(567)))/sqrt(9))**2 - ((6*(sqrt(112) + sqrt(7)))**2 - (sqrt(7) - (sqrt(63) + 0))))*-3.
6*sqrt(7) + 15876
Simplify -2 + ((1*(sqrt(208) + -1 + sqrt(208))*2)**2 - (-4 + 1*sqrt(208) + 0)).
-68*sqrt(13) + 3334
Simplify (1 + -1*(6*(sqrt(252) + -2*sqrt(252) + 4 - (sqrt(252) - ((-2*sqrt(252) - sqrt(252)) + sqrt(252)))*1) + 2))**2.
-7200*sqrt(7) + 145777
Simplify 1*sqrt(189)/(-4*sqrt(567)) - ((4*-1*sqrt(135))/(sqrt(25)/(sqrt(5)*2)))**2.
-1728 - sqrt(3)/12
Simplify (6*sqrt(1008)*-1 - (sqrt(63) - -2*2*sqrt(63)))*-3 + -1.
-1 + 261*sqrt(7)
Simplify -3*(sqrt(468)/((sqrt(90)*5 + sqrt(90) + sqrt(90) + sqrt(90) + sqrt(90) - sqrt(90))/sqrt(10)))/((-4*5*sqrt(20))/sqrt(5)).
3*sqrt(13)/160
Simplify -2 + ((sqrt(1053)*-2*-5 - sqrt(1053)) + sqrt(1053) + 1*sqrt(1053) + -2 - (sqrt(1053) - ((sqrt(1053) - (sqrt(1053) + 0) - sqrt(1053)) + -4))*5*3).
-171*sqrt(13) - 64
Simplify ((-2*(((sqrt(81) - -3*sqrt(81)) + sqrt(81))*-1 - sqrt(81))/sqrt(9))/(4*(sqrt(3) + sqrt(6)/sqrt(2)) + sqrt(27)/(sqrt(9)*-2)))**2.
192/25
Simplify -4 + 1*(sqrt(405)*2)**2 + -3 - ((1*((sqrt(180) - (0 + sqrt(180))) + sqrt(180)))**2 + 0 + (-1 + sqrt(405))**2).
18*sqrt(5) + 1027
Simplify ((sqrt(49) + sqrt(7056)*-2)/(-1*sqrt(7)*-5 + sqrt(7)))**2 + ((-3 + -2*sqrt(175)*1)*3)**2.
540*sqrt(7) + 233419/36
Simplify (((sqrt(304)*-5 + sqrt(304))*-1 + 4)**2 - (5*2*-6*sqrt(1216))**2)*-5.
-640*sqrt(19) + 21863600
Simplify ((sqrt(132)*-1 - sqrt(33))/(sqrt(99)/(sqrt(45)/sqrt(5))))**2 + (1*sqrt(48))/(sqrt(4)*2*5).
sqrt(3)/5 + 27
Simplify 4*(2*(5 + 4*(2 + -2*(sqrt(162) - 1*sqrt(162))*4)) + 2)**2.
3136
Simplify ((3 + -2*(sqrt(11) - sqrt(22)/sqrt(2))*5 + (sqrt(396)*-2)/(sqrt(196)*-2))*4)**2.
288*sqrt(11)/7 + 8640/49
Simplify ((sqrt(120)/(2*sqrt(588) + sqrt(588)))/(sqrt(98)*-1 - sqrt(24)/sqrt(192)))**2.
80/370881
Simplify sqrt(7) + ((1 + sqrt(7))*5)**2 + 3 - (sqrt(42)/(sqrt(12)/sqrt(2)) + (-1 + sqrt(448))**2) - (1*-1*(sqrt(21)/sqrt(3))**2 + 4*sqrt(448)*1).
-239 + 34*sqrt(7)
Simplify (-3 + -1 + sqrt(396) + 0 + 1)**2 - (sqrt(396) + 0 + 4 + sqrt(396) - (5 + sqrt(396) + 3 + sqrt(396)))**2.
-36*sqrt(11) + 389
Simplify (-5 + 1 + (sqrt(99) - (4 + sqrt(99) + sqrt(99) + 1)))**2 + (-3*(sqrt(99) + -2) + sqrt(99) - -5*(sqrt(99) - (sqrt(99) + -3))).
48*sqrt(11) + 201
Simplify ((sqrt(264) + -4*(sqrt(264) - sqrt(264)*-1) - sqrt(264) - sqrt(264))/sqrt(704))/((sqrt(48) - (2*sqrt(48) + sqrt(48))*4)/(sqrt(324)*2 - sqrt(324))).
81*sqrt(2)/88
Simplify (sqrt(77)*-3*-3 + (sqrt(77) - 6*((sqrt(77) - -1*sqrt(77)) + sqrt(77))))/(1*sqrt(176)*2 + -5*2*sqrt(176)).
sqrt(7)/4
Simplify (-4 + (-2*sqrt(1215) - sqrt(15))/sqrt(5) + -5*(sqrt(9) - -1*(sqrt(9) + sqrt(9) + sqrt(81)))/sqrt(3))**2 + -1.
392*sqrt(3) + 7218
Simplify -4 + -2*sqrt(8) + -2 - (-1 + (1*sqrt(200) + -3 + sqrt(200))**2).
-814 + 116*sqrt(2)
Simplify (3 + (4*sqrt(15)*-1*-5)/(sqrt(12)/(sqrt(4) + sqrt(16)/(sqrt(12)/sqrt(3)))) + 0)**2.
240*sqrt(5) + 8009
Simplify (-1 + 5*(0 + sqrt(648)*-2) + 1 + 3)**2.
-1080*sqrt(2) + 64809
Simplify ((2 + sqrt(300)*-4)**2 - ((sqrt(300)*4 - sqrt(300))**2 + -5) - (4 + (sqrt(300) + 1)*-5 + (sqrt(300) - (-5*(0 + sqrt(300) + sqrt(300)))**2))) + 3.
-120*sqrt(3) + 32113
Simplify 3 + -3 + sqrt(60)/(sqrt(48)*1 - sqrt(12)) + (5 + sqrt(405) + sqrt(405)*-1)**2 + 4.
sqrt(5) + 29
Simplify ((sqrt(98) - (sqrt(98) - (sqrt(98) + 2 + sqrt(98)*-2))) + 2 + sqrt(98) + -1)**2 + 5 + -1 + -5.
8
Simplify (-2*(-3 + 2 + sqrt(243)*3*-6 + 0 + (sqrt(243) + sqrt(243)*-1)*-6))**2.
1296*sqrt(3) + 314932
Simplify 3 + (sqrt(198)/sqrt(6))/sqrt(3) + sqrt(396)*1 + 1 + (4*(0 + sqrt(539)) - sqrt(539))**2.
7*sqrt(11) + 4855
Simplify 2 + (((sqrt(20)*3 + sqrt(20))/sqrt(10) + -1*sqrt(2)*-1)**2 + 4 + (sqrt(32)/sqrt(4) - sqrt(2))**2 + -1)*-6.
-328
Simplify (3 + -4*(1 + ((sqrt(363) - (0 + sqrt(363)))**2*3 - (2*sqrt(363) + -1))))*-2.
-176*sqrt(3) + 10
Simplify 2*(-1 + (-3 + (sqrt(567) - (sqrt(567)*-1 + -4))*-6)**2)*-4.
-659008 - 46656*sqrt(7)
Simplify (1 + -2*(4 + (-1*(1*sqrt(288) - sqrt(288)) - (sqrt(288) + -5*sqrt(288)*2))**2*4))*-5.
933155
Simplify 3 + -1*(-5 + -2 + sqrt(847) + 0 + 0)*-3.
-18 + 33*sqrt(7)
Simplify (-2*sqrt(486)*-6 + sqrt(486) + 1*sqrt(486)*-5)/(-1*sqrt(242)*1 + 2*(sqrt(242)*2 - sqrt(242))).
72*sqrt(3)/11
Simplify 3*2*((sqrt(832) + 1)*3 + -2*(sqrt(832) + -1) + (1 + sqrt(832) + 3 - 4*(sqrt(832) - ((sqrt(832) - -1*sqrt(832)) + sqrt(832)))))**2.
8640*sqrt(13) + 499686
Simplify ((sqrt(187) + -2*sqrt(187) + sqrt(187))*3)/(sqrt(66)/sqrt(6)*4 - sqrt(11)) - 4*(sqrt(119) + (sqrt(119)*-1 - sqrt(119))*-3)/(sqrt(14)/sqrt(18)).
-84*sqrt(17)
Simplify -2*5*(-3 + (sqrt(77)*1*3)/(sqrt(11) + (sqrt(11) - -1*sqrt(176))) + -3)*-5.
-300 + 25*sqrt(7)
Simplify (4*(4*(sqrt(18) + (sqrt(18) - (sqrt(54) - sqrt(486))/sqrt(3))))/((sqrt(150) - (1*sqrt(150) + sqrt(150)))*5 - sqrt(150)) + 3 + -5)**2.
128*sqrt(3)/15 + 1324/75
Simplify ((-3 + (sqrt(700) - (2 + sqrt(700)*2)))*-3 + (2*sqrt(112) - -1*sqrt(7)*3)*-4 + -4)**2.
-308*sqrt(7) + 1493
Simplify 2 + -3*-5*(sqrt(2736) + 1) + (-1*(sqrt(2736) + 0) + (-5 + -1 + sqrt(2736) + sqrt(2736) - sqrt(2736)))**2 + -3.
50 + 180*sqrt(19)
Simplify (((1*sqrt(210))/sqrt(6))/((sqrt(84) - sqrt(84)*-2)/sqrt(12)) - (((sqrt(200)/sqrt(8))/sqrt(5))**2 + sqrt(35)/sqrt(7)*-5)) + -2.
-7 + 16*sqrt(5)/3
Simplify (-5*(-3 + -5 + -3 + 1*sqrt(1053) + sqrt(1053)))**2 + 5.
-9900*sqrt(13) + 108330
Simplify (sqrt(108) - (5 + (sqrt(108)*-1)**2) - (0 + sqrt(108))*6)*5 - (((sqrt(108) + 0 + sqrt(108) + 4)*-4)**2 + -4).
-7729
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(110) + sqrt(110)*-2 - sqrt(110))*2 + sqrt(110))*-1)/(-1*sqrt(30)/(sqrt(3) + sqrt(3)*1 + sqrt(3)))))**2.
1944*sqrt(11) + 32400
Simplify (6*(((-2*(sqrt(198) - 2*sqrt(198)))/sqrt(9))/(-2*sqrt(704)*2) + -2))**2.
9*sqrt(2) + 4617/32
Simplify (sqrt(70) + -2*sqrt(70)*-5 - (-1*sqrt(70) + sqrt(70))*6)/(-2*(4*2*sqrt(110) + sqrt(110))/sqrt(11)).
-11*sqrt(7)/18
Simplify ((-2*(-3*(2*sqrt(3500) + sqrt(3500) + sqrt(3500)) - sqrt(3500) - sqrt(3500)))/((sqrt(30) - sqrt(1080))/sqrt(6) + sqrt(90)/sqrt(2)))**2.
137200
Simplify (sqrt(1216) - (sqrt(1216) + 1) - sqrt(931)*-1 - (-3 + sqrt(19) + -1 + -3 + (3*sqrt(19) - sqrt(19)))**2) + -3.
-224 + 49*sqrt(19)
Simplify 0 + -1 + (sqrt(750) - (sqrt(750)*1*-3 - sqrt(750)))/((sqrt(486) - (sqrt(486) + 1*sqrt(486)) - sqrt(486))*3 + sqrt(486)).
-5*sqrt(5)/9 - 1
Simplify ((sqrt(28) - sqrt(700))*-6 + sqrt(1008) + -4*sqrt(1008) + sqrt(1008))/(5*sqrt(16)/(sqrt(4) - -1*sqrt(100))).
72*sqrt(7)/5
Simplify 2 + sqrt(52) - sqrt(13) - (sqrt(1053) + -1) - (-4*(-1*sqrt(1872) - sqrt(13)) + -3)**2.
-35158 + 304*sqrt(13)
Simplify (-5*(sqrt(1584) + -3))**2 + (-3*(3 + sqrt(1584)))**2 + ((1*(sqrt(891) + 1 - sqrt(891)) + -2)*-6)**2.
-1152*sqrt(11) + 54198
Simplify (1*(5 + -5*(sqrt(11) - (sqrt(11) + -2) - sqrt(11)) + ((sqrt(11) + -1 + sqrt(11))*-4 - (1*sqrt(110))/sqrt(10)) + 3))**2.
-16*sqrt(11) + 180
Simplify (1 + sqrt(475) - sqrt(475))**2*6 + (-1*sqrt(475)*-3)**2 + 4 + 4*sqrt(475) + sqrt(475) + ((5*(sqrt(475) - 3*sqrt(475)) - sqrt(475))**2 - sqrt(475)).
20*sqrt(19) + 61760
Simplify ((0 + sqrt(1872) + sqrt(1872))*-5 - (-1 + -2*sqrt(1872))) + -5*(-2 + (sqrt(1872) - (sqrt(1872) + 1)**2) + 4).
-36*sqrt(13) + 9356
Simplify -1 + (((sqrt(85) + sqrt(85)*2 + sqrt(85))*-6)/((sqrt(40) + sqrt(160))/sqrt(8)) - (sqrt(425) - (sqrt(425) + (sqrt(425) - 3*-2*sqrt(425))**2))*-4).
-83301 - 8*sqrt(17)
Simplify ((sqrt(50)/(sqrt(10) + -2*sqrt(10)) + -3 - (-3*sqrt(605)*2 - sqrt(605)))*-3 + -4)**2 + -2.
-2280*sqrt(5) + 259943
Simplify ((2 + 3 + -3 + (-2 + sqrt(405) + -2 - 3*(sqrt(405) + 2 + sqrt(405))))*-5)**2.
18000*sqrt(5) + 254725
Simplify ((-3*(-1*sqrt(80) + sqrt(80)))/(sqrt(605) - sqrt(605)*-2 - sqrt(5)))/(6*(3*2*sqrt(96))/sqrt(12)) + -4.
-4
Simplify ((sqrt(378) + sqrt(378)*2*3)/(sqrt(6) + (sqrt(96) + sqrt(6))*1))**2 - -3*(5 + sqrt(7) + 1*sqrt(112) + sqrt(14)/sqrt(18)).
16*sqrt(7) + 403/4
Simplify 1*(2 + -3*((2 + sqrt(2299) + 2)**2 - sqrt(2299) - (1 + 2 + sqrt(2299)))*-1).
198*sqrt(19) + 6938
Simplify (5*(3 + 1 + -1*sqrt(833) + -5)*-4*1*1)**2.
5600*sqrt(17) + 333600
Simplify -4 + -5 + -6*sqrt(2299)*-1 + sqrt(2299)*1*-3 + (-2*sqrt(2299)*-2)**2.
33*sqrt(19) + 36775
Simplify (3*(-5 + 2*(sqrt(2) + 2) - (2*(sqrt(162) + 1*sqrt(162)) - sqrt(162) - sqrt(162))))**2 + 4.
288*sqrt(2) + 4621
Simplify (((sqrt(630)/(sqrt(10)*-2))/(sqrt(3) + (sqrt(3) + (sqrt(3) - (sqrt(30)*-2)/sqrt(10)) - sqrt(3))))/(1*(sqrt(192) - 3*sqrt(192))*-5))**2.
7/409600
Simplify (-6*(sqrt(1080)*-2 + sqrt(30))*-2)/(sqrt(54)/(4*sqrt(27)/sqrt(3))*6).
-88*sqrt(5)
Simplify (6*(5 + sqrt(605) + -2 + sqrt(605) + sqrt(605) + (sqrt(605) - -4*sqrt(605)) + 1)*-1*6)**2.
912384*sqrt(5) + 50201856
Simplify (0 + 3*(sqrt(117) + 0 + sqrt(117)))**2 + -1 + (5 + -1*sqrt(13) - (sqrt(13) + (sqrt(13) - (sqrt(13) - sqrt(117))) - sqrt(13))*6) + 4.
-19*sqrt(13) + 4220
Simplify ((-5*4*(2*sqrt(143) - sqrt(143))*-2)/((sqrt(66)*-1*-4)/(sqrt(600) - ((sqrt(600) - (1*sqrt(600) - sqrt(600))) + sqrt(600)))) + 1)**2.
-200*sqrt(13) + 130001
Simplify (-3*(2*sqrt(63) + 0 + sqrt(700)) - (6*(sqrt(7) + 1 + -4 + -1 + 1))**2)*-3.
-504*sqrt(7) + 1728
Simplify -2*(2 + sqrt(288) + -5*(sqrt(288) + 1) + 3 + -2*sqrt(288)*-6*-4)**2*3.
-4672512
Simplify (2*-1*sqrt(80)*-1*-6*-5*-3)**2 + 2.
2592002
Simplify ((-3*((sqrt(11) + -1)*4 + 0 + (sqrt(11) - sqrt(44)/sqrt(4))) - (sqrt(110)/(-3*sqrt(10)) - (4 + sqrt(22)/sqrt(2)))) + -5)**2*1.
-704*sqrt(11)/3 + 12353/9
Simplify -5*(3 + 2 + 5*-2*-1*sqrt(304) + 5)**2.
-152500 - 4000*sqrt(19)
Simplify (2 + 2*((sqrt(343) + -1)*6 + -5)*4 + 4)*-1.
-336*sqrt(7) + 82
Simplify 2 + (((-2*sqrt(125)*-5 - sqrt(125)) + -3)**2 - (-4 + sqrt(125) + -2 + 5)) + -2 + -1.
-275*sqrt(5) + 10134
Simplify ((-5*(sqrt(1872) - -1*sqrt(1872)) - ((sqrt(1872) - 3*sqrt(1872))*-3 + sqrt(1872))) + 2 + -1 + 4)**2*-1.
-541033 + 2040*sqrt(13)
Simplify ((5 + -5*(1*(sqrt(1872) + 0) + sqrt(1872))*4)*3)**2.
-43200*sqrt(13) + 26957025
Simplify 3*((sqrt(468)*-5 + sqrt(468))**2 + 4 + -4*(sqrt(1872)*-2)**2).
-67380
Simplify ((-2 + (sqrt(700)*1 - sqrt(700)))**2 - (sqrt(112)*1*3)**2) + sqrt(84)/(sqrt(3)*-2) + 0 + (sqrt(84)/sqrt(3) + sqrt(28) + sqrt(28) + sqrt(28))**2.
-556 - sqrt(7)
Simplify 1 + -1 + (sqrt(1100) + sqrt(1100) + 1 - sqrt(1100))**2 + -3 + -1 + (4 + (sqrt(1100) - (sqrt(1100) + 0)*-3))**2.
340*sqrt(11) + 18713
Simplify -5 + sqrt(1216) + 2 + 2 + sqrt(1216) + (-2*sqrt(1216))**2 + 3 + 4 + -1.
16*sqrt(19) + 4869
Simplify 6*(-4 + (sqrt(13) + 1)*4 + sqrt(208)*1 + sqrt(65)/(1*(sqrt(5) + sqrt(5)*-2) - sqrt(5))*-3).
57*sqrt(13)
Simplify (sqrt(60)/(sqrt(15)/(sqrt(20)/sqrt(4))))/(sqrt(12)/((-3*sqrt(3) + sqrt(3) - sqrt(3))*1))*-5.
15*sqrt(5)
Simplify (sqrt(128)*-3 + 2 - sqrt(128)) + 2*(sqrt(128) - (sqrt(128) - (2 + sqrt(128))**2)) + (-5 + 3 + sqrt(128) + -1 + sqrt(128) + 1)**2.
-32*sqrt(2) + 782
Simplify (-4*((-2 + sqrt(17))*5 + sqrt(17) + sqrt(17) + sqrt(17) + -2 + sqrt(17) + -1))**2 + (-2 + sqrt(1700) - (sqrt(17) + -2 + -2)).
-3735*sqrt(17) + 24738
Simplify (-6*2*((sqrt(4050) - (sqrt(4050) + 1))*-1 + 1))**2*-1.
-576
Simplify 2*(1 + 5 + (sqrt(612) + 0 + -2 - (sqrt(612) - (sqrt(612) + -1 - sqrt(612))*-6)) + 2 + -1)**2.
242
Simplify -5*(sqrt(108)/(1*(sqrt(16) - sqrt(4)) + sqrt(4)))/(-1*sqrt(1089) + sqrt(9) + (-1*sqrt(90))/sqrt(10)) + 4.
5*sqrt(3)/22 + 4
Simplify -1*((-3*2*sqrt(195))/sqrt(180))/(sqrt(24)/sqrt(2) - sqrt(33)/(sqrt(11) + (sqrt(11)*-2 - sqrt(11))))*5.
2*sqrt(13)
Simplify -3 + (((sqrt(1275) - (sqrt(1275) - -2*sqrt(1275))) + sqrt(408)/(sqrt(8) - sqrt(8)*-2))/(sqrt(9)/(2*(sqrt(3) + sqrt(3) + sqrt(243)))) + 5)**2.
-6380*sqrt(17)/3 + 6919946/9
Simplify ((sqrt(1216) + -2)*4 - sqrt(1216))**2*-4 + 3 + ((-1 + 3 + 2*sqrt(1216))*-3)**2.
-217 + 2112*sqrt(19)
Simplify ((6*sqrt(260) - sqrt(260))/sqrt(10) + (sqrt(104) - (sqrt(104) + sqrt(104)*2)))/(((sqrt(264)*1)/sqrt(11))/(sqrt(24)/(sqrt(4)/sqrt(2)))).
sqrt(13)
Simplify 0 + 3 + ((sqrt(396)*3 - sqrt(396))**2 - sqrt(396)) + 3 - 6*(5 + (1 + sqrt(396))**2 + -1).
-816 - 78*sqrt(11)
Simplify 3 + 2 + (2*sqrt(343)*-3 + 5)**2 + -3 + -1.
-420*sqrt(7) + 12374
Simplify ((-3*sqrt(210)*-1 - sqrt(210))/((sqrt(360)/sqrt(6))/sqrt(10) + sqrt(6)))/(sqrt(77)/sqrt(11)*-6 - (sqrt(112)*-1 - sqrt(7))).
-sqrt(5)
Simplify ((sqrt(612) - (-4 + (-3 + sqrt(612) - sqrt(612)))) + 0 + sqrt(612) + 2 + sqrt(612) - (1*(-4 + 1 + sqrt(1700) + sqrt(1700)) + 0))**2.
-48*sqrt(17) + 212
Simplify 0 + (3*-2*sqrt(605) - ((sqrt(605) - -1*sqrt(605)) + sqrt(605) + -4)) + (2*(-3 + sqrt(605)) + sqrt(605) - (sqrt(605) + -3 + 0 - sqrt(605)))**2.
-297*sqrt(5) + 5458
Simplify 6*(3 + 1*5*sqrt(272)*6*-2*5*-1)**2.
43200*sqrt(17) + 146880054
Simplify (((-1*(2*sqrt(189) - sqrt(189)) - sqrt(189)) + sqrt(189) - sqrt(189))/(-3*sqrt(6)/sqrt(2)))/(sqrt(54)/(sqrt(12)/sqrt(2)) + -1*sqrt(441))*-5.
5*sqrt(7)/9
Simplify (2 + (-5*sqrt(1323)*3)/(-4*(sqrt(9) - sqrt(45)/sqrt(5)) - -4*sqrt(144)))*5.
-525*sqrt(3)/16 + 10
Simplify 3 + (sqrt(112) + 5*sqrt(112)*1 - sqrt(112)) + 0 + (3*(-2*sqrt(847) - sqrt(847))**2 - (-2*sqrt(175) + -3)**2).
-40*sqrt(7) + 22163
Simplify 4*sqrt(135)/sqrt(5) + (-4 + sqrt(3) + sqrt(48))*5 + 1*(1*sqrt(12)*-6)/(sqrt(484) + 1*sqrt(484) + sqrt(484)).
-20 + 405*sqrt(3)/11
Simplify (-5 + 6*1*(sqrt(637)*-2*-1 + 2))**2*-3.
-275331 - 3528*sqrt(13)
Simplify ((sqrt(255)*-1*-5)/(4*(sqrt(20) + sqrt(5))))/((sqrt(1323)*1 + sqrt(1323) + sqrt(1323))/(sqrt(18)/sqrt(2)*-3))*2.
-5*sqrt(17)/42
Simplify -5*((sqrt(75) + -4 + sqrt(75)*-1 - sqrt(75)) + -3)**2 - (3 + 4*5*(2*sqrt(75))**2).
-6623 - 350*sqrt(3)
Simplify (-5 + (sqrt(684)*6 - -3*sqrt(2736) - (sqrt(475) - (sqrt(475) + 0)*-6)*-1)*-1)**2.
1070*sqrt(19) + 217556
Simplify (((sqrt(330)*2)/sqrt(6) + (sqrt(660) + -2*sqrt(660) + sqrt(660) - sqrt(660) - sqrt(660))/sqrt(12))/(sqrt(44)/(-6*(sqrt(4) + sqrt(36)))))**2.
0
Simplify ((-4*((1 + sqrt(684) - sqrt(684)) + -4))**2 + (-4 + -1 + sqrt(684) + sqrt(684))*1)*-1*-2.
24*sqrt(19) + 27
|
{
"pile_set_name": "DM Mathematics"
}
|
15) to base 10.
-108
What is 75 (base 11) in base 14?
5c
13 (base 5) to base 3
22
Convert 3 (base 8) to base 10.
3
What is -3 (base 12) in base 3?
-10
What is -a1 (base 12) in base 4?
-1321
-10 (base 6) to base 12
-6
-20 (base 7) to base 9
-15
Convert 3 (base 15) to base 3.
10
b4 (base 13) to base 8
223
0 (base 6) to base 11
0
-10000 (base 2) to base 4
-100
Convert 25 (base 8) to base 11.
1a
1 (base 6) to base 11
1
10 (base 9) to base 7
12
30 (base 5) to base 15
10
What is -1 (base 10) in base 11?
-1
What is -62 (base 15) in base 9?
-112
Convert 3 (base 7) to base 15.
3
-10 (base 11) to base 4
-23
What is -140 (base 5) in base 3?
-1200
Convert -2 (base 3) to base 9.
-2
What is 100 (base 2) in base 3?
11
1120 (base 3) to base 11
39
What is -100011111 (base 2) in base 9?
-348
What is -101102 (base 3) in base 14?
-161
What is -420 (base 6) in base 5?
-1111
Convert 0 (base 12) to base 7.
0
-4 (base 7) to base 4
-10
Convert -11 (base 13) to base 5.
-24
164 (base 7) to base 11
87
What is 3 (base 16) in base 8?
3
3a (base 15) to base 10
55
What is 2 (base 15) in base 13?
2
-201 (base 12) to base 4
-10201
What is -110 (base 2) in base 9?
-6
What is -74 (base 14) in base 4?
-1212
-6 (base 12) to base 5
-11
35 (base 6) to base 16
17
Convert -102 (base 8) to base 4.
-1002
What is -104 (base 6) in base 13?
-31
Convert 4 (base 7) to base 3.
11
Convert -4 (base 6) to base 3.
-11
-1010100 (base 2) to base 15
-59
What is a (base 13) in base 4?
22
What is 20 (base 11) in base 15?
17
Convert 3c (base 16) to base 11.
55
210 (base 3) to base 10
21
Convert 1 (base 13) to base 16.
1
4 (base 15) to base 12
4
-4 (base 15) to base 9
-4
What is 2 (base 16) in base 13?
2
-9 (base 16) to base 3
-100
-69 (base 15) to base 4
-1203
What is -37 (base 12) in base 2?
-101011
-1110 (base 2) to base 11
-13
What is 2 (base 13) in base 2?
10
What is 8 (base 11) in base 12?
8
What is 0 (base 14) in base 8?
0
1310 (base 5) to base 6
541
What is 75 (base 16) in base 8?
165
Convert 0 (base 16) to base 4.
0
Convert -3 (base 5) to base 12.
-3
Convert 111 (base 2) to base 9.
7
30 (base 14) to base 4
222
Convert -7 (base 16) to base 5.
-12
-311 (base 4) to base 7
-104
What is -11 (base 4) in base 13?
-5
What is -2 (base 16) in base 4?
-2
What is -3 (base 10) in base 11?
-3
What is -1001 (base 2) in base 5?
-14
-9 (base 14) to base 11
-9
What is -1100 (base 5) in base 16?
-96
What is -2 (base 12) in base 13?
-2
Convert -5 (base 8) to base 10.
-5
Convert 7 (base 10) to base 14.
7
Convert 72 (base 14) to base 11.
91
What is 32 (base 10) in base 14?
24
2 (base 15) to base 11
2
Convert 10 (base 6) to base 5.
11
What is 111 (base 3) in base 7?
16
-121 (base 9) to base 4
-1210
Convert 32 (base 10) to base 3.
1012
Convert -1121 (base 5) to base 9.
-188
64 (base 12) to base 8
114
Convert 2 (base 15) to base 12.
2
What is -1003 (base 4) in base 5?
-232
1 (base 9) to base 2
1
111001 (base 2) to base 14
41
15 (base 12) to base 5
32
-39 (base 11) to base 3
-1120
Convert -3 (base 14) to base 4.
-3
What is -123 (base 4) in base 15?
-1c
3 (base 14) to base 15
3
What is 1100 (base 2) in base 13?
c
What is -10101000 (base 2) in base 13?
-cc
1 (base 7) to base 8
1
What is 1131 (base 4) in base 13?
72
What is 100 (base 3) in base 9?
10
What is -45 (base 15) in base 16?
-41
What is 38 (base 15) in base 7?
104
-405 (base 9) to base 2
-101001001
Convert 7 (base 15) to base 9.
7
-102 (base 3) to base 5
-21
What is -22 (base 12) in base 15?
-1b
2 (base 13) to base 6
2
Convert -12 (base 7) to base 2.
-1001
Convert -55 (base 12) to base 10.
-65
-1 (base 3) to base 13
-1
What is -4 (base 12) in base 14?
-4
Convert 27 (base 14) to base 16.
23
What is 29 (base 14) in base 8?
45
-1 (base 4) to base 14
-1
Convert -2 (base 4) to base 10.
-2
Convert 59 (base 13) to base 11.
68
a (base 14) to base 7
13
-67 (base 14) to base 11
-83
What is -131 (base 4) in base 3?
-1002
0 (base 8) to base 16
0
What is 1101 (base 2) in base 16?
d
Convert 2b (base 16) to base 11.
3a
What is -209 (base 10) in base 8?
-321
Convert 12 (base 16) to base 14.
14
11 (base 3) to base 2
100
What is 12 (base 9) in base 13?
b
Convert -10 (base 12) to base 8.
-14
2 (base 9) to base 8
2
-3 (base 9) to base 12
-3
What is f3 (base 16) in base 2?
11110011
What is 18 (base 11) in base 12?
17
12 (base 10) to base 4
30
What is -17 (base 10) in base 4?
-101
Convert -4 (base 9) to base 13.
-4
Convert -101211 (base 3) to base 13.
-196
330 (base 6) to base 16
7e
-3 (base 14) to base 10
-3
11 (base 11) to base 15
c
-61 (base 7) to base 10
-43
-2 (base 15) to base 11
-2
Convert 42 (base 7) to base 10.
30
-1011 (base 6) to base 13
-142
What is -146 (base 10) in base 4?
-2102
-3 (base 11) to base 12
-3
What is -45 (base 8) in base 15?
-27
-105 (base 7) to base 4
-312
What is -13 (base 9) in base 4?
-30
Convert f (base 16) to base 15.
10
What is 32 (base 5) in base 2?
10001
What is -4 (base 6) in base 5?
-4
Convert 2 (base 6) to base 5.
2
Convert 22 (base 6) to base 15.
e
Convert 23 (base 10) to base 12.
1b
-4 (base 16) to base 10
-4
What is -4 (base 7) in base 2?
-100
Convert -1 (base 14) to base 8.
-1
-13 (base 11) to base 5
-24
What is -5 (base 9) in base 13?
-5
What is -1 (base 10) in base 4?
-1
What is -15 (base 12) in base 5?
-32
-7 (base 10) to base 2
-111
1 (base 10) to base 15
1
What is 45 (base 8) in base 10?
37
What is -1 (base 15) in base 8?
-1
Convert -86 (base 12) to base 6.
-250
61 (base 8) to base 15
34
What is 36 (base 15) in base 3?
1220
Convert 56 (base 7) to base 2.
101001
What is -215 (base 7) in base 10?
-110
Convert -b (base 14) to base 15.
-b
-28 (base 12) to base 2
-100000
What is 0 (base 2) in base 16?
0
Convert 1 (base 8) to base 4.
1
33a (base 11) to base 16
196
Convert -520 (base 6) to base 7.
-363
What is -3 (base 8) in base 9?
-3
-23 (base 7) to base 5
-32
-26 (base 16) to base 11
-35
Convert -63 (base 7) to base 5.
-140
What is -1 (base 6) in base 8?
-1
Convert 10 (base 8) to base 15.
8
What is 315 (base 9) in base 10?
257
Convert -7 (base 14) to base 8.
-7
What is 2 (base 16) in base 7?
2
What is 0 (base 8) in base 11?
0
-2 (base 3) to base 15
-2
-1 (base 12) to base 14
-1
-93 (base 13) to base 4
-1320
Convert -132 (base 9) to base 12.
-92
Convert -146 (base 9) to base 4.
-1323
Convert -10 (base 3) to base 8.
-3
Convert -5 (base 6) to base 15.
-5
What is 34 (base 14) in base 5?
141
-1cd (base 15) to base 13
-262
What is -2 (base 11) in base 3?
-2
Convert -101002 (base 3) to base 16.
-110
Convert 10 (base 2) to base 12.
2
1 (base 4) to base 12
1
What is -200 (base 3) in base 7?
-24
What is 1d (base 16) in base 12?
25
What is -4 (base 11) in base 14?
-4
What is 12 (base 9) in base 12?
b
15 (base 14) to base 12
17
-13 (base 5) to base 13
-8
Convert -2 (base 16) to base 2.
-10
What is -335 (base 7) in base 14?
-c5
What is -1 (base 12) in base 9?
-1
19 (base 16) to base 13
1c
-3 (base 11) to base 13
-3
Convert -65 (base 12) to base 3.
-2212
13 (base 14) to base 16
11
-17 (base 9) to base 3
-121
What is 4 (base 8) in base 3?
11
-203 (base 4) to base 8
-43
Convert 0 (base 10) to base 14.
0
Convert 2 (base 15) to base 13.
2
Convert 301 (base 5) to base 11.
6a
What is -233 (base 4) in base 13?
-38
Convert -5 (base 10) to base 15.
-5
Convert 0 (base 9) to base 16.
0
What is 15 (base 12) in base 15?
12
What is 12 (base 7) in base 10?
9
19 (base 14) to base 6
35
Convert 2011 (base 3) to base 15.
3d
-b (base 15) to base 7
-14
What is -1010000 (base 2) in base 5?
-310
Convert -31 (base 7) to base 14.
-18
What is 15 (base 15) in base 6?
32
What is -11 (base 2) in base 14?
-3
23 (base 13) to base 5
104
What is 4 (base 10) in base 4?
10
What is 26 (base 10) in base 7?
35
Convert 0 (base 10) to base 14.
0
36 (base 15) to base 8
63
Convert -10 (base 2) to base 4.
-2
Convert -25 (base 8) to base 3.
-210
What is 3a (base 13) in base 7?
100
What is -15 (base 14) in base 16?
-13
-20 (base 13) to base 15
-1b
Convert 0 (base 5) to base 15.
0
What is 7 (base 16) in base 11?
7
-11101 (base 2) to base 3
-1002
What is -12 (base 11) in base 6?
-21
Convert -3 (base 11) to base 8.
-3
101010 (base 2) to base 11
39
What is 17 (base 15) in base 4?
112
Convert 201 (base 7) to base 6.
243
Convert -2 (base 7) to base 6.
-2
3 (base 4) to base 16
3
Convert -3 (base 11) to
|
{
"pile_set_name": "DM Mathematics"
}
|
erm of 619, 624, 629?
5*d + 614
What is the f'th term of 35, 42, 71, 134, 243?
2*f**3 - f**2 - 4*f + 38
What is the s'th term of 865, 857, 843, 823, 797?
-3*s**2 + s + 867
What is the u'th term of -4, -14, -30, -52?
-3*u**2 - u
What is the s'th term of 21, 120, 293, 546, 885, 1316, 1845, 2478?
s**3 + 31*s**2 - s - 10
What is the v'th term of -24, -6, 20, 54, 96, 146, 204?
4*v**2 + 6*v - 34
What is the a'th term of -7, 6, 27, 56, 93, 138, 191?
4*a**2 + a - 12
What is the b'th term of 11, 23, 35, 47?
12*b - 1
What is the v'th term of 2554, 5098, 7656, 10234, 12838, 15474, 18148?
v**3 + v**2 + 2534*v + 18
What is the t'th term of 197, 397, 593, 785, 973, 1157, 1337?
-2*t**2 + 206*t - 7
What is the j'th term of 62, 57, 50, 41?
-j**2 - 2*j + 65
What is the g'th term of 656, 652, 658, 680, 724, 796, 902, 1048?
g**3 - g**2 - 8*g + 664
What is the f'th term of -9, -17, -45, -105, -209, -369, -597?
-2*f**3 + 2*f**2 - 9
What is the n'th term of 6, 15, 28, 45?
2*n**2 + 3*n + 1
What is the r'th term of -10, 2, 36, 104, 218, 390, 632?
2*r**3 - r**2 + r - 12
What is the u'th term of -45, -88, -129, -168, -205, -240, -273?
u**2 - 46*u
What is the n'th term of 17, 27, 41, 59, 81, 107, 137?
2*n**2 + 4*n + 11
What is the f'th term of -7, 35, 89, 161, 257, 383?
f**3 + 35*f - 43
What is the j'th term of -36, -51, -64, -75?
j**2 - 18*j - 19
What is the i'th term of -1492, -2985, -4478, -5971?
-1493*i + 1
What is the l'th term of -51, -178, -391, -690, -1075, -1546, -2103?
-43*l**2 + 2*l - 10
What is the a'th term of -363, -725, -1087?
-362*a - 1
What is the a'th term of -375, -376, -377?
-a - 374
What is the p'th term of -1185, -1184, -1183, -1182?
p - 1186
What is the v'th term of -45, -76, -85, -60, 11?
2*v**3 - v**2 - 42*v - 4
What is the b'th term of -63487, -63488, -63489?
-b - 63486
What is the o'th term of 46, 34, 22, 10, -2, -14?
-12*o + 58
What is the f'th term of -142, -289, -440, -595, -754, -917?
-2*f**2 - 141*f + 1
What is the o'th term of 490, 482, 448, 376, 254?
-2*o**3 - o**2 + 9*o + 484
What is the d'th term of -36, -42, -48?
-6*d - 30
What is the q'th term of -24, -29, -32, -33, -32, -29?
q**2 - 8*q - 17
What is the x'th term of 16, 34, 52, 70, 88, 106?
18*x - 2
What is the j'th term of -152, -305, -434, -527, -572, -557, -470, -299?
2*j**3 - 167*j + 13
What is the c'th term of -3988, -3990, -3994, -4000, -4008, -4018, -4030?
-c**2 + c - 3988
What is the t'th term of -604, -1170, -1718, -2242, -2736, -3194?
t**3 + 3*t**2 - 582*t - 26
What is the q'th term of -20, -43, -68, -95, -124, -155, -188?
-q**2 - 20*q + 1
What is the q'th term of -3, -11, -21, -33?
-q**2 - 5*q + 3
What is the n'th term of 4, 84, 214, 394, 624?
25*n**2 + 5*n - 26
What is the o'th term of -35, -76, -105, -116, -103?
o**3 - 48*o + 12
What is the y'th term of 197, 393, 589, 785?
196*y + 1
What is the b'th term of 1, -1, 11, 43, 101, 191, 319?
b**3 + b**2 - 12*b + 11
What is the g'th term of -17, -85, -263, -605, -1165?
-9*g**3 - g**2 - 2*g - 5
What is the c'th term of -340, -682, -1024?
-342*c + 2
What is the h'th term of 0, -15, -32, -57, -96?
-h**3 + 5*h**2 - 23*h + 19
What is the q'th term of -1140, -1140, -1142, -1146, -1152?
-q**2 + 3*q - 1142
What is the f'th term of 8, 39, 98, 191, 324, 503, 734, 1023?
f**3 + 8*f**2 - 1
What is the u'th term of 93, 192, 297, 408, 525, 648?
3*u**2 + 90*u
What is the i'th term of -37, -49, -67, -91?
-3*i**2 - 3*i - 31
What is the g'th term of -308, -610, -902, -1178, -1432, -1658?
g**3 - g**2 - 306*g - 2
What is the d'th term of -554, -565, -592, -641, -718?
-d**3 - 2*d**2 + 2*d - 553
What is the t'th term of -52, -58, -74, -106, -160?
-t**3 + t**2 - 2*t - 50
What is the z'th term of -152, -150, -146, -140, -132, -122?
z**2 - z - 152
What is the d'th term of 47, 89, 129, 167, 203, 237?
-d**2 + 45*d + 3
What is the w'th term of 270, 533, 790, 1035, 1262, 1465, 1638, 1775?
-w**3 + 3*w**2 + 261*w + 7
What is the u'th term of 29, 117, 265, 473, 741, 1069?
30*u**2 - 2*u + 1
What is the k'th term of 239, 461, 683, 905?
222*k + 17
What is the c'th term of 43, 91, 139, 187, 235?
48*c - 5
What is the p'th term of -7, 6, 21, 38, 57?
p**2 + 10*p - 18
What is the n'th term of 43, 43, 51, 73, 115, 183?
n**3 - 2*n**2 - n + 45
What is the n'th term of -62, -135, -206, -275, -342, -407, -470?
n**2 - 76*n + 13
What is the v'th term of -134, -270, -406?
-136*v + 2
What is the k'th term of -38, -42, -48, -56, -66?
-k**2 - k - 36
What is the i'th term of 677, 674, 669, 662, 653, 642, 629?
-i**2 + 678
What is the b'th term of -1293, -1288, -1283?
5*b - 1298
What is the z'th term of 119, 240, 361, 482?
121*z - 2
What is the v'th term of 1468, 2927, 4386, 5845, 7304?
1459*v + 9
What is the l'th term of -343, -337, -327, -313?
2*l**2 - 345
What is the b'th term of -3, -5, -7, -9?
-2*b - 1
What is the f'th term of -3, 13, 55, 135, 265?
2*f**3 + f**2 - f - 5
What is the w'th term of 333, 327, 315, 297, 273?
-3*w**2 + 3*w + 333
What is the o'th term of 913, 1839, 2763, 3685, 4605, 5523?
-o**2 + 929*o - 15
What is the c'th term of 68, 65, 62?
-3*c + 71
What is the f'th term of 45, 43, 15, -51, -167?
-2*f**3 - f**2 + 15*f + 33
What is the r'th term of -84, -93, -102, -111, -120?
-9*r - 75
What is the p'th term of 12426, 12423, 12418, 12411?
-p**2 + 12427
What is the l'th term of 2, 11, 24, 41, 62, 87?
2*l**2 + 3*l - 3
What is the t'th term of 27, 115, 261, 465?
29*t**2 + t - 3
What is the n'th term of -22, -153, -502, -1177, -2286, -3937, -6238, -9297?
-18*n**3 - n**2 - 2*n - 1
What is the z'th term of 83, 146, 207, 266, 323?
-z**2 + 66*z + 18
What is the b'th term of 967, 966, 965, 964, 963, 962?
-b + 968
What is the d'th term of 100, 200, 300, 400, 500?
100*d
What is the d'th term of 33, 91, 185, 315, 481, 683?
18*d**2 + 4*d + 11
What is the b'th term of 8, 14, 18, 20, 20, 18?
-b**2 + 9*b
What is the g'th term of -193, -760, -1705, -3028, -4729, -6808, -9265?
-189*g**2 - 4
What is the p'th term of 365, 372, 381, 392, 405, 420?
p**2 + 4*p + 360
What is the b'th term of -556, -555, -554, -553?
b - 557
What is the g'th term of 80, 148, 216, 284?
68*g + 12
What is the t'th term of 47, 118, 231, 380, 559, 762, 983?
-t**3 + 27*t**2 - 3*t + 24
What is the v'th term of 81, 117, 153, 189, 225?
36*v + 45
What is the n'th term of -50, -101, -154, -209, -266?
-n**2 - 48*n - 1
What is the c'th term of -65, -299, -691, -1241, -1949?
-79*c**2 + 3*c + 11
What is the d'th term of -30, -95, -194, -321, -470, -635, -810?
d**3 - 23*d**2 - 3*d - 5
What is the u'th term of 91, 252, 481, 778?
34*u**2 + 59*u - 2
What is the b'th term of -113, -162, -219, -290, -381?
-b**3 + 2*b**2 - 48*b - 66
What is the c'th term of -1053, -2103, -3153, -4203?
-1050*c - 3
What is the w'th term of -92, -190, -288, -386, -484?
-98*w + 6
What is the g'th term of 319, 1303, 2943, 5239, 8191?
328*g**2 - 9
What is the a'th term of 28, 61, 96, 133, 172, 213?
a**2 + 30*a - 3
What is the y'th term of -5, -43, -107, -197?
-13*y**2 + y + 7
What is the o'th term of -1861, -1860, -1861, -1864, -1869, -1876, -1885?
-o**2 + 4*o - 1864
What is the b'th term of 102, 107, 112, 117, 122?
5*b + 97
What is the m'th term of -457, -914, -1369, -1822?
m**2 - 460*m + 2
What is the c'th term of 113, 149, 211, 299?
13*c**2 - 3*c + 103
What is the s'th term of -608, -1212, -1812, -2408?
2*s**2 - 610*s
What is the o'th term of -826, -830, -846, -880, -938, -1026?
-o**3 + 3*o - 828
What is the n'th term of -1, 7, 39, 107, 223, 399, 647?
2*n**3 - 6*n + 3
What is the j'th term of 1, -11, -31, -59, -95, -139, -191?
-4*j**2 + 5
What is the l'th term of 46, 53, 62, 73, 86, 101, 118?
l**2 + 4*l + 41
What is the j'th term of 7, -3, -29, -77, -153?
-j**3 - 2*j**2 + 3*j + 7
What is the x'th term of 158, 181, 250, 389, 622?
4*x**3 - x**2 - 2*x + 157
What is the g'th term of 98, 93, 88?
-5*g + 103
What is the l'th term of 8913, 17847, 26795, 35763, 44757, 53783, 62847, 71955?
l**3 + l**2 + 8924*l - 13
What is the p'th term of 5348, 5350, 5352?
2*p + 5346
What is the m'th term of 1171, 2345, 3519, 4693, 5867, 7041?
1174*m - 3
What is the d'th term of -25, -30, -49, -88, -153, -250, -385?
-d**3 - d**2 + 5*d - 28
What is the u'th term of -15931, -31864, -47795, -63724, -79651, -95576, -111499?
u**2 - 15936*u + 4
What is the b'th term of 11, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
h(u) = -u**3 - 44*u**2 - 526*u - 1495. What is h(-26)?
13
Let n(j) = -240677*j + 1684730. Determine n(7).
-9
Let t(r) = 4*r**3 - 257*r**2 + 64*r - 134. What is t(64)?
-134
Let i(m) = -3*m**2 - 860*m - 10542. Give i(-274).
-130
Let s(q) = -16240*q + 2192426. Give s(135).
26
Let f(l) = 13*l**2 + 332*l - 122. Calculate f(-26).
34
Let p(x) = x**3 + 35*x**2 - 7*x - 651. What is p(-34)?
743
Let u(v) = -247*v**2 - 16*v + 20. What is u(1)?
-243
Let a(l) = 2*l**3 + 35*l**2 - 271*l - 5173. Give a(-15).
17
Let y(z) = -40*z**3 + 3214*z - 3213. Give y(1).
-39
Let f(v) = -2*v**2 - 518*v - 33753. Give f(-135).
-273
Let s(w) = -w**3 - 25*w**2 - 121*w - 721. Give s(-21).
56
Let g(x) = x**2 - 48*x - 425. What is g(0)?
-425
Let i(d) = d**3 - 88*d**2 + 232*d + 1924. What is i(85)?
-31
Let b(n) = -n**3 - 3592*n**2 - 2000165*n + 1387. Give b(-689).
9
Let q(u) = -17329*u + 155948. Calculate q(9).
-13
Let j(f) = 145*f - 26823. Determine j(184).
-143
Let j(k) = -8687*k - 10053. Calculate j(-1).
-1366
Let y(d) = d**3 - 407*d + 1476. Determine y(18).
-18
Let m(i) = 84*i - 528. Determine m(5).
-108
Let g(s) = s**3 - 15*s**2 + 8*s - 349. Give g(14).
-433
Let r(w) = 3*w**2 + 17101*w - 2632638. Give r(150).
12
Let v(p) = 34*p**2 - 3724*p + 7442. Calculate v(2).
130
Let y(d) = d**3 + 34*d**2 - 63*d + 181. Determine y(-37).
-1595
Let h(f) = -6439*f + 8499472. Determine h(1320).
-8
Let d(h) = h**2 + 52049*h + 1456559. What is d(-28)?
-29
Let g(q) = -q**2 - 2779*q + 433373. Calculate g(148).
177
Let r(k) = 4257*k + 638557. Calculate r(-150).
7
Let o(v) = -592304*v - 2961515. Calculate o(-5).
5
Let k(t) = 24*t**2 - 661*t - 336620. What is k(133)?
3
Let r(i) = -12*i**3 - 217*i**2 - 210*i + 7. Determine r(-1).
12
Let r(k) = -279*k**2 - 3878*k + 35. What is r(-14)?
-357
Let l(s) = 3*s**2 - 427*s + 9088. Calculate l(26).
14
Let l(z) = 33*z**2 + 1728*z - 1081. What is l(-53)?
32
Let d(w) = -w**3 - 71*w**2 - 35*w - 2420. Calculate d(-71).
65
Let r(g) = -2*g**2 + 6167*g - 213394. Determine r(35).
1
Let m(l) = -35*l**2 + 11735*l - 3435. Calculate m(335).
-85
Let k(c) = -382*c - 42416. Determine k(-109).
-778
Let m(t) = -5*t**2 + 18*t - 89. Determine m(9).
-332
Let w(k) = -770*k**2 + 92430*k - 3603. Determine w(120).
-3
Let w(o) = o**2 + 222*o - 10261. Determine w(39).
-82
Let s(d) = -985*d - 16047. Determine s(-19).
2668
Let g(n) = -19*n - 5789. Give g(-171).
-2540
Let i(z) = z**3 - 207*z**2 - 277*z + 12099. Determine i(208).
-2253
Let v(g) = g**3 + 135*g**2 + 391*g - 576. Determine v(-132).
84
Let j(y) = -2236*y + 1085. Give j(0).
1085
Let k(o) = -6*o**3 - 64*o**2 - 129*o - 7. Give k(-8).
1
Let l(x) = -27*x**3 + x**2 + 72*x + 145. What is l(-2)?
221
Let b(f) = -f**3 + 48*f**2 + 2013*f - 11159. Give b(5).
-19
Let l(q) = 45551*q - 3051915. Give l(67).
2
Let w(f) = 27*f**2 + 15230*f + 1117. What is w(-564)?
-11
Let s(d) = 1594913*d - 6379632. What is s(4)?
20
Let y(c) = -70*c**3 + 344*c + 1286. Calculate y(-4).
4390
Let q(p) = -190330*p - 1141986. What is q(-6)?
-6
Let i(c) = -37949*c + 3149768. Give i(83).
1
Let t(y) = -3*y**2 - 254*y + 1159. Determine t(-93).
-1166
Let j(m) = m**3 - 202*m**2 - 933*m - 422. Calculate j(-4).
14
Let n(h) = -h**3 + 55*h**2 - 133*h + 1397. Calculate n(53).
-34
Let g(b) = -10265*b + 71851. What is g(7)?
-4
Let l(a) = -1817*a - 94. Calculate l(-1).
1723
Let n(s) = 95*s - 172. What is n(16)?
1348
Let z(r) = 734*r + 43297. Determine z(-59).
-9
Let g(w) = 3*w**3 + 848*w**2 - 31*w + 71345. Give g(-283).
29
Let s(t) = -68*t**2 - 24937*t - 74814. Determine s(-3).
-615
Let d(b) = -16*b**2 + 6538*b - 16977. What is d(406)?
75
Let f(i) = 44*i**2 + 3303*i + 387. Determine f(-75).
162
Let g(w) = w**2 + 172*w + 11494. Give g(-111).
4723
Let f(q) = 562*q - 10496. Give f(18).
-380
Let n(t) = 18*t**2 + 4320*t - 8704. What is n(-242)?
8
Let r(j) = 26*j**3 - 989*j**2 + 29*j + 299. What is r(38)?
-43
Let w(r) = 213*r + 1920. What is w(-7)?
429
Let u(v) = 21*v**2 - 1358*v - 84. Determine u(64).
-980
Let g(p) = -238*p + 68278. What is g(287)?
-28
Let w(u) = 52*u - 30256. What is w(583)?
60
Let a(v) = -2*v**3 + 25*v**2 + 331*v - 638. Give a(20).
-18
Let m(o) = 5*o**2 + 2865*o + 283238. Determine m(-127).
28
Let c(g) = -990*g + 5009. What is c(5)?
59
Let x(r) = -4*r**2 + 592*r + 6522. Calculate x(-11).
-474
Let g(q) = -7*q**2 + 89*q + 328. Calculate g(15).
88
Let d(x) = 2*x**3 - 69*x**2 - 511*x + 17595. What is d(35)?
935
Let h(v) = 30*v**2 + 140*v + 12. Calculate h(-4).
-68
Let i(g) = 69*g**2 + 3680*g + 1213. Calculate i(-53).
-6
Let n(w) = -69*w**2 + 2396*w - 7956. Determine n(31).
11
Let g(m) = -5*m**3 + 15*m - 111. Determine g(6).
-1101
Let u(t) = -t**3 + 267*t**2 - 11657*t - 172. What is u(55)?
-7
Let i(w) = -w**3 + 17*w**2 + 50*w - 645. Give i(13).
681
Let h(n) = n**2 - 1333*n - 40814. Give h(-30).
76
Let i(x) = -159*x**2 + 394*x - 159. Give i(2).
-7
Let j(m) = -2637*m - 2125422. Calculate j(-806).
0
Let v(n) = n**3 - 67*n**2 + 854*n - 10667. Calculate v(55).
3
Let q(k) = -30929*k + 185533. Give q(6).
-41
Let j(o) = -83*o**2 - 1373*o + 1731. Calculate j(-18).
-447
Let b(y) = 202*y**3 - 2021*y**2 - 640*y + 6496. Determine b(10).
-4
Let q(t) = -2*t**3 - 723*t**2 + 34*t - 118732. Calculate q(-362).
4
Let t(b) = -b**3 - 16*b**2 - 39*b - 786. Give t(-12).
-894
Let r(a) = 205*a + 7295. What is r(-36)?
-85
Let y(n) = 197*n**2 + 2186*n + 97. What is y(-11)?
-112
Let p(r) = -r**3 - 3031*r**2 - 1167840*r - 2711. Calculate p(-453).
7
Let x(w) = -11*w**3 + 172*w**2 + 482*w - 9. What is x(18)?
243
Let b(s) = s**3 + 12*s**2 - 94*s - 1153. Calculate b(-12).
-25
Let p(b) = b**2 - 86*b + 2657. Determine p(63).
1208
Let s(m) = 24166*m + 120774. What is s(-5)?
-56
Let n(r) = -8388*r + 109476. Determine n(13).
432
Let o(h) = -h**2 + 630*h + 115. Determine o(0).
115
Let u(m) = -3*m**3 + 4*m**2 + 33*m + 117. What is u(0)?
117
Let g(d) = -7*d**3 - 3707*d**2 + 5425*d + 61072. Give g(-531).
7
Let f(x) = x**3 + 266*x**2 - 18035*x + 159. Give f(56).
-9
Let d(h) = -3831*h - 9245. Calculate d(-3).
2248
Let d(x) = -2978*x - 306743. Calculate d(-103).
-9
Let x(o) = 8*o**2 - 160668*o - 642757. Give x(-4).
43
Let a(r) = -r**3 + 167*r**2 - 2138*r - 53. What is a(14)?
3
Let g(y) = -2*y**3 + 188*y**2 - 200*y + 873. Determine g(93).
-429
Let z(t) = -195*t - 1036. What is z(-4)?
-256
Let c(t) = -8161*t**2 + 301958*t - 42. What is c(37)?
-5
Let u(x) = -144824*x - 868987. What is u(-6)?
-43
Let p(h) = -58*h**3 - 7*h**2 - 10*h + 48. Give p(3).
-1611
Let o(s) = -s**3 + 10*s**2 + 2116*s - 4275. Give o(2).
-11
Let p(r) = 19502*r - 741175. What is p(38)?
-99
Let n(y) = 288*y - 191. Calculate n(-2).
-767
Let c(j) = -35331*j + 247946. Determine c(7).
629
Let u(r) = -r**3 + 33*r**2 - 185*r - 85. Determine u(8).
35
Let z(w) = 2*w**3 - 733*w**2 + 1818*w + 1056. What is z(364)?
328
Let v(x) = -1657*x + 377801. Calculate v(228).
5
Let y(v) = -2*v**3 + 12*v**2 - 322*v + 1586. Calculate y(5).
26
Let g(y) = -2*y**3 + 36*y**2 + 440*y - 2258. Give g(25).
-8
Let g(n) = 2*n**2 - 7*n + 7926. Determine g(0).
7926
Let n(q) = 14*q**3 + 17*q**2 + 44*q + 10. Calculate n(-4).
-790
Let t(d) = -d**2 - 52*d + 1340. Calculate t(-74).
-288
Let t(s) = 1123*s - 104370. Calculate t(93).
69
Let v(z) = -273*z**2 + 9560*z - 168. What is v(35)?
7
Let g(i) = 107895*i + 107922. Calculate g(-1).
27
Let h(g) = g**3 + 71*g**2 + 1073*g + 480. What is h(-21)?
-3
Let k(g) = 389*g + 6708. What is k(-14)?
1262
Let c(u) = -3*u**3 + 13*u**2 - 1815*u + 5399. Give c(3).
-10
Let t(q) = -3*q**2 - 1868*q - 39046. Determine t(-601).
19
Let i(m) = 95*m**2 - 159*m + 45. Determine i(2).
107
Let z(i) = -105*i - 7815. Determine z(-82).
795
Let d(m) = 4*m**3 - 21*m - 56. Calculate d(-3).
-101
Let q(k) = -4*k**2 - 193*k - 1967. What is q(-12)?
-227
Let x(i) = -4622*i + 397419. Determine x(86).
-73
Let v(w) = 510*w**2 + 168*w - 342. Determine v(2).
2034
Let m(g) = 337*g**2 + 24973*g + 2597. Calculate m(-74).
7
Let r(f) = 2*f**2 - 3695*f + 40410. Determine r(11).
7
Let p(r) = -2*r**2 + 371*r - 16931. Give p(81).
-2
Let t(o) = -8880*o + 44678. Give t(5).
278
Let k(j) = 309*j - 3064. What is k(10)?
26
Let q(x) = 5*x**2 - 2024*x - 12318. What is q(-6)?
6
Let n(c) = 16*c**2 - 168*c + 861. Give n(6).
429
Let l(t) = 6*t**2 - 832*t + 7271. What is l(9)?
269
Let l(f) = 46*f**2 + 7
|
{
"pile_set_name": "DM Mathematics"
}
|
184
What is 444 minutes after 1:02 PM?
8:26 PM
How many minutes are there between 4:03 PM and 8:12 PM?
249
How many minutes are there between 3:22 PM and 11:23 PM?
481
What is 446 minutes after 10:58 AM?
6:24 PM
How many minutes are there between 7:55 AM and 1:37 PM?
342
What is 82 minutes after 11:46 PM?
1:08 AM
How many minutes are there between 7:31 PM and 8:34 PM?
63
How many minutes are there between 4:03 AM and 1:19 PM?
556
What is 67 minutes before 6:36 AM?
5:29 AM
What is 623 minutes before 10:46 AM?
12:23 AM
What is 576 minutes before 2:46 PM?
5:10 AM
What is 470 minutes after 1:58 AM?
9:48 AM
What is 685 minutes before 6:15 AM?
6:50 PM
What is 90 minutes after 5:38 PM?
7:08 PM
How many minutes are there between 9:15 PM and 1:19 AM?
244
What is 691 minutes before 8:28 PM?
8:57 AM
What is 463 minutes before 1:04 PM?
5:21 AM
What is 690 minutes before 4:11 AM?
4:41 PM
How many minutes are there between 2:07 PM and 5:18 PM?
191
What is 12 minutes before 6:01 AM?
5:49 AM
How many minutes are there between 5:35 AM and 3:16 PM?
581
How many minutes are there between 3:52 PM and 1:12 AM?
560
What is 502 minutes after 1:23 PM?
9:45 PM
What is 102 minutes before 12:11 PM?
10:29 AM
How many minutes are there between 8:26 PM and 10:43 PM?
137
What is 274 minutes before 3:17 PM?
10:43 AM
How many minutes are there between 8:58 AM and 6:42 PM?
584
What is 491 minutes before 3:52 AM?
7:41 PM
What is 703 minutes after 11:37 PM?
11:20 AM
How many minutes are there between 10:10 PM and 11:21 PM?
71
What is 624 minutes after 1:56 PM?
12:20 AM
What is 457 minutes after 5:21 PM?
12:58 AM
How many minutes are there between 5:41 PM and 1:28 AM?
467
What is 197 minutes after 7:36 AM?
10:53 AM
What is 63 minutes after 7:37 AM?
8:40 AM
How many minutes are there between 10:46 AM and 11:42 AM?
56
How many minutes are there between 8:42 PM and 1:52 AM?
310
What is 279 minutes after 3:29 PM?
8:08 PM
How many minutes are there between 6:40 PM and 8:59 PM?
139
How many minutes are there between 11:01 PM and 11:34 PM?
33
What is 558 minutes before 5:12 AM?
7:54 PM
How many minutes are there between 6:23 AM and 4:54 PM?
631
How many minutes are there between 2:58 AM and 7:28 AM?
270
What is 535 minutes after 6:00 PM?
2:55 AM
What is 11 minutes before 10:50 PM?
10:39 PM
How many minutes are there between 4:02 AM and 11:54 AM?
472
How many minutes are there between 5:19 AM and 11:46 AM?
387
How many minutes are there between 9:27 PM and 2:44 AM?
317
What is 77 minutes before 3:29 AM?
2:12 AM
What is 641 minutes after 10:42 PM?
9:23 AM
What is 101 minutes after 6:05 PM?
7:46 PM
What is 607 minutes after 3:07 PM?
1:14 AM
How many minutes are there between 10:21 PM and 4:37 AM?
376
How many minutes are there between 11:15 AM and 6:52 PM?
457
What is 130 minutes after 7:46 AM?
9:56 AM
What is 36 minutes after 8:43 PM?
9:19 PM
What is 12 minutes after 7:09 AM?
7:21 AM
How many minutes are there between 10:20 PM and 1:51 AM?
211
What is 342 minutes before 5:57 AM?
12:15 AM
How many minutes are there between 1:08 AM and 2:08 AM?
60
How many minutes are there between 8:03 AM and 4:19 PM?
496
What is 616 minutes after 8:57 AM?
7:13 PM
How many minutes are there between 12:42 PM and 9:41 PM?
539
What is 669 minutes after 7:27 AM?
6:36 PM
How many minutes are there between 5:07 AM and 4:17 PM?
670
How many minutes are there between 3:10 AM and 1:26 PM?
616
How many minutes are there between 4:47 AM and 5:35 AM?
48
How many minutes are there between 2:49 AM and 10:23 AM?
454
How many minutes are there between 2:04 PM and 11:28 PM?
564
How many minutes are there between 10:54 AM and 11:21 AM?
27
How many minutes are there between 12:23 PM and 4:36 PM?
253
How many minutes are there between 2:46 PM and 10:24 PM?
458
What is 597 minutes before 12:39 AM?
2:42 PM
How many minutes are there between 5:06 AM and 2:47 PM?
581
How many minutes are there between 2:20 AM and 12:48 PM?
628
What is 60 minutes before 9:03 AM?
8:03 AM
How many minutes are there between 11:17 PM and 8:59 AM?
582
What is 283 minutes before 1:43 AM?
9:00 PM
How many minutes are there between 9:40 PM and 1:07 AM?
207
How many minutes are there between 2:02 PM and 11:18 PM?
556
How many minutes are there between 12:37 PM and 6:30 PM?
353
What is 98 minutes after 9:18 PM?
10:56 PM
How many minutes are there between 11:49 PM and 3:18 AM?
209
What is 194 minutes after 4:55 AM?
8:09 AM
How many minutes are there between 6:14 PM and 6:25 PM?
11
How many minutes are there between 4:23 AM and 1:59 PM?
576
How many minutes are there between 8:41 PM and 2:22 AM?
341
How many minutes are there between 3:29 PM and 8:20 PM?
291
How many minutes are there between 8:12 AM and 3:11 PM?
419
What is 173 minutes before 8:13 AM?
5:20 AM
How many minutes are there between 5:34 PM and 1:13 AM?
459
What is 578 minutes before 4:15 PM?
6:37 AM
How many minutes are there between 5:59 PM and 3:31 AM?
572
What is 235 minutes after 12:56 AM?
4:51 AM
What is 423 minutes after 5:36 AM?
12:39 PM
How many minutes are there between 1:18 AM and 9:34 AM?
496
How many minutes are there between 8:02 PM and 5:44 AM?
582
What is 546 minutes after 2:54 PM?
12:00 AM
What is 20 minutes before 1:45 AM?
1:25 AM
How many minutes are there between 7:52 PM and 11:21 PM?
209
How many minutes are there between 3:34 PM and 5:31 PM?
117
What is 69 minutes before 8:54 PM?
7:45 PM
How many minutes are there between 1:58 PM and 11:46 PM?
588
How many minutes are there between 9:52 AM and 8:53 PM?
661
What is 303 minutes after 12:03 AM?
5:06 AM
How many minutes are there between 2:04 PM and 7:08 PM?
304
How many minutes are there between 10:50 AM and 6:16 PM?
446
How many minutes are there between 7:25 AM and 10:05 AM?
160
What is 128 minutes before 2:18 PM?
12:10 PM
What is 325 minutes after 10:07 AM?
3:32 PM
How many minutes are there between 10:20 AM and 11:04 AM?
44
What is 702 minutes before 7:47 PM?
8:05 AM
How many minutes are there between 3:00 AM and 9:58 AM?
418
How many minutes are there between 3:21 AM and 1:09 PM?
588
What is 552 minutes after 10:17 AM?
7:29 PM
How many minutes are there between 12:48 PM and 12:59 PM?
11
What is 359 minutes after 7:41 PM?
1:40 AM
What is 345 minutes before 6:29 PM?
12:44 PM
How many minutes are there between 12:09 PM and 8:55 PM?
526
What is 44 minutes before 12:17 AM?
11:33 PM
What is 493 minutes after 1:45 PM?
9:58 PM
What is 543 minutes after 5:12 AM?
2:15 PM
How many minutes are there between 9:41 AM and 2:24 PM?
283
How many minutes are there between 10:54 AM and 7:28 PM?
514
What is 630 minutes before 3:06 AM?
4:36 PM
How many minutes are there between 5:59 PM and 2:33 AM?
514
How many minutes are there between 9:01 PM and 2:56 AM?
355
How many minutes are there between 11:08 PM and 6:45 AM?
457
What is 50 minutes after 1:46 PM?
2:36 PM
How many minutes are there between 4:31 AM and 4:33 AM?
2
How many minutes are there between 8:58 PM and 4:07 AM?
429
What is 620 minutes before 11:39 AM?
1:19 AM
How many minutes are there between 11:17 PM and 2:18 AM?
181
How many minutes are there between 6:45 AM and 8:28 AM?
103
How many minutes are there between 2:22 PM and 5:51 PM?
209
How many minutes are there between 5:36 AM and 3:09 PM?
573
How many minutes are there between 3:04 PM and 2:43 AM?
699
What is 101 minutes before 6:51 AM?
5:10 AM
What is 33 minutes after 5:07 PM?
5:40 PM
What is 19 minutes after 8:53 PM?
9:12 PM
How many minutes are there between 4:09 PM and 5:53 PM?
104
What is 657 minutes before 3:06 AM?
4:09 PM
How many minutes are there between 8:12 AM and 4:12 PM?
480
What is 647 minutes before 8:44 PM?
9:57 AM
What is 480 minutes after 11:58 PM?
7:58 AM
How many minutes are there between 9:54 PM and 7:27 AM?
573
What is 595 minutes before 1:31 AM?
3:36 PM
What is 89 minutes after 7:06 PM?
8:35 PM
How many minutes are there between 7:31 AM and 1:24 PM?
353
How many minutes are there between 1:10 AM and 1:37 AM?
27
How many minutes are there between 3:29 AM and 8:34 AM?
305
How many minutes are there between 1:57 PM and 4:53 PM?
176
How many minutes are there between 9:32 PM and 2:15 AM?
283
What is 137 minutes after 4:48 AM?
7:05 AM
How many minutes are there between 8:10 PM and 4:58 AM?
528
What is 680
|
{
"pile_set_name": "DM Mathematics"
}
|
(-7)/(-4) + (27/12 - 2). Let z be l(h). Suppose -z + 16 = -y. Is y composite?
False
Let h be ((-197)/3 - 1)*273/(-14). Suppose 117 = -3*l + 933. Suppose -z = 3*t - l, 5*z - 5*t - h = -0*z. Is z prime?
True
Let x = -25462 + 12923. Let r = 26350 + x. Is r composite?
True
Let x = -371014 + 653973. Is x prime?
True
Let r = 73 - 68. Suppose -r*y + 251 = -24. Is y composite?
True
Let l(t) = -16 + 9505*t - 18920*t + 9450*t. Suppose v - 1 = 5. Is l(v) prime?
False
Suppose -28 = -9*o + 2*o. Suppose -16082 = -o*v + 20874. Is v composite?
False
Suppose -4 - 1 = -y. Suppose 0 = 5*k - 4*k - y. Is (k/(10/4))/((-2)/(-1261)) composite?
True
Let g be -3*(102/9 + 0 + 0). Is g + 31 - (-9237 + -1) a composite number?
True
Suppose 3236*z = 3241*z - 1718195. Is z prime?
True
Let t = 46 + -61. Let d = t + 21. Let u(j) = -j**3 + 12*j**2 - 5*j + 1. Is u(d) prime?
False
Let a(w) = w**2 - 9*w + 13. Let j be a(6). Let n(g) = -2*g**3 - 4*g**2 + g + 4. Is n(j) composite?
False
Let k(x) = x**3 + 11*x**2 + 10*x - 9. Let f be k(-9). Suppose 4*d + 207 = 5*y + 6*d, 0 = -y + 5*d + f. Let g = 132 - y. Is g composite?
False
Suppose 3*h + 17739 = 2*j, 2*h - 6*h = -4*j + 35488. Let b = j - 5060. Is b prime?
False
Let s(k) = -3*k**3 - 35*k**2 + 10*k - 29. Is s(-31) a prime number?
True
Suppose 0*f = f + 3, -5*s = 4*f - 68. Suppose -7 + s = 3*r, 8492 = l - 3*r. Is l a prime number?
True
Let s be ((-33687)/6)/((-2)/4). Suppose 20*o - s = 31111. Is o composite?
True
Let h = -17 - -10. Let q(a) = -18*a - 19. Let w(p) = 16*p + 19. Let c(j) = -3*q(j) - 4*w(j). Is c(h) composite?
True
Let m(b) be the second derivative of -b**2 + 1/6*b**3 + 3/20*b**5 + 0 - 1/12*b**4 + 8*b. Is m(5) a prime number?
True
Let s(j) = 6974*j - 6185. Is s(81) a prime number?
False
Suppose -4*g = -5*r + 45, 5*r - 2*r = -5*g - 10. Let s be (-238)/(-35) + -5 - 1/g. Suppose s*u + 3*w = 2302, -5870 + 115 = -5*u - w. Is u a prime number?
True
Is 67358/5*(-435)/(-174) prime?
True
Let d be 12*((-40)/(-5))/24. Suppose 2*j = f + 45083, -j - 2*f + 22543 = -d*f. Is j prime?
True
Let r(s) = 0*s + 2 - 3 - 1 + 2708*s**2 - s. Suppose 4*m - 3 + 15 = -2*f, 0 = 4*m + 4*f + 20. Is r(m) a prime number?
True
Let a(i) = -3*i**2 - 19*i - 4. Let k be a(-6). Let n be (-2)/(k/(-757)) - 38/(-19). Suppose -9*w + n = -6*w. Is w a composite number?
True
Let u(z) = -1755*z + 28. Is u(-13) a composite number?
True
Let j = 598 - -508. Suppose -13*d + 11*d = -j. Is d a prime number?
False
Let m = -2506 + 7995. Is m a composite number?
True
Suppose 4*h = -2*n - 12, 2*h = 5*n - 3*h - 45. Suppose -3*g + 16 - 4 = 0, n = 4*s - 3*g. Suppose 588 = s*r - 56. Is r a prime number?
False
Suppose 958 = 2*g - 2*o, -2076 = -4*g - 5*o - 187. Let b = g - -2207. Is b prime?
True
Suppose 0 = -3*q + z + 244836, -81599 = -q + 421*z - 425*z. Is q prime?
True
Suppose -g + 2 = -15. Suppose g*v = 22*v - 10. Suppose v*y - 74 = 2*t, -3*t = 4*y - 8*t - 148. Is y a prime number?
True
Suppose 27 + 6 = 3*y. Let q(p) = -3*p + 35. Let v be q(y). Suppose 5*m - v*m + 2*r - 1245 = 0, -5*m + 2062 = -r. Is m a composite number?
True
Let n(b) = -b**2 - 7*b - 4. Let v be n(-6). Suppose t = 3*h - 434, 0 = -0*t + v*t - 4*h + 864. Let k = t - -1131. Is k a prime number?
False
Let c be -3*(-17*6/18 + 7). Let i(z) = 20*z**3 + 6*z. Let j(q) = -21*q**3 - 7*q + 1. Let f(h) = -4*i(h) - 3*j(h). Is f(c) prime?
True
Suppose 374*w - 357*w - 2006561 = 0. Is w a prime number?
True
Let q(y) = 21*y + 34. Let o(c) = -22*c - 33. Let v(k) = -3*o(k) - 2*q(k). Let l be v(9). Let w = 274 + l. Is w composite?
False
Is 2/(-2 + 3 - 4) - 191010966/(-4086) a composite number?
False
Let j be (-1)/3*1 + 21/9. Let u be -2 - (-1 - j - 3). Suppose 4*i = x + 2025 + 186, 3*i + u*x = 1663. Is i a composite number?
True
Let t = 329 - -4358. Is t a prime number?
False
Let t be ((-3)/5)/(5/25*-1). Let h(w) = 856*w + 16. Let c be h(t). Let q = c + -1371. Is q prime?
True
Suppose 1301*o - 38069379 = 1274*o. Is o composite?
False
Suppose -6*r + 10*r = 31544. Let d = 177 - r. Let l = 14860 + d. Is l prime?
True
Let u(v) = -143*v - 98. Is u(-3) a composite number?
False
Suppose 2*t - 376635 = -3*w, 0 = 54*t - 52*t + 12. Is w composite?
True
Let d be 7/(-3)*-1 + (-27)/81. Suppose g + 2*g = -4*y + 6839, -d*g = -2. Is y prime?
True
Suppose -4190 = -3*d - d + u, 5*d - 3*u = 5234. Let q = d + 753. Is q a prime number?
True
Is ((9799665/20)/(21/(-14)))/((-1)/2) prime?
True
Let n(g) = 29*g**2 + 0*g**2 - 1 - 7*g + g**2 + 5. Let b = -5 + 8. Is n(b) composite?
True
Is (-901314540)/(-2700) - 22/10 composite?
True
Let q = 16927 + 18177. Let z = -16301 + q. Is z a prime number?
True
Let g(k) = 14*k**3 + 46*k**2 + 291*k - 77. Is g(42) prime?
False
Let i = -50 - -5. Let q = -40 - i. Suppose -4653 = -3*v + 2*x, 10*x = -2*v + q*x + 3121. Is v composite?
False
Let x = 3 + -1. Suppose -2*b + 2*y - 2768 = -4*b, 4*b + x*y = 5530. Is b composite?
False
Let q(p) = -1056*p**2 + 10*p - 9. Let y be q(3). Is 1 + (-12)/16 - y/4 a prime number?
True
Is (-7 + 9)*-4 - (-7289 + -2) prime?
True
Let b = 3673 - 6374. Let p = 3782 + b. Is p a prime number?
False
Suppose -4*g + 5*o = -1856813, -3*o + 2320970 = 20*g - 15*g. Is g a composite number?
False
Suppose -4*v + 116679 = 3*h - 221370, 5*v = -3*h + 338046. Is h prime?
True
Suppose 5*j = -0*m + 2*m - 23, -9 = -3*j. Suppose m = 6*v + 7. Suppose -v*b - 895 = -7673. Is b a composite number?
False
Let k(c) = 26*c**2 - 115*c - 380. Is k(-37) prime?
False
Let w(y) = 176251*y**2 + 3*y - 3. Is w(1) a composite number?
True
Suppose 0 = 2*l + z - 300828 + 88430, 0 = 2*l - 5*z - 212398. Is l a composite number?
True
Let s(c) = 8 - 120*c - 7 - 15*c. Let d be s(-13). Suppose -4*m - d = -9648. Is m a prime number?
True
Let q(i) = -i**3 + 3*i**2 + 2*i. Let d be q(-1). Suppose d*u = -2120 - 606. Is (-1)/(-1 + 2) - 1 - u a composite number?
False
Let a be 3*(-16)/12 + 2. Let k be (-88)/(-6) + a/3. Is (-2)/k - (-2388)/7 composite?
True
Suppose 255*m = 353*m - 6790126. Is m a prime number?
False
Suppose 3*c = -2*m + 6335, -2*m + 175*c + 6317 = 172*c. Is m a composite number?
False
Let q(d) = d**3 + 15*d**2 - 14*d + 13. Let w be q(-15). Suppose w + 253 = 4*i. Is i a composite number?
True
Let j(p) = 3*p**3 + 20*p**2 + 74*p + 25. Is j(16) a composite number?
False
Suppose 3*n - 7*n - 3*x = 23066, -6 = 3*x. Let m = -3432 - n. Is m a prime number?
True
Let r(d) = -20527*d + 4612. Is r(-7) a composite number?
False
Let r = 488553 + -339609. Suppose -14*a + r = -180812. Is a composite?
True
Suppose 762*c - 2483694 = 744*c. Is c composite?
False
Let k be 4/14 + 40/7. Let m be ((-500)/k)/((-4)/48). Suppose -801 = -w + m. Is w composite?
False
Let m = 1839 - -512. Is m a composite number?
False
Suppose -2843582 + 11371777 = 65*s. Is s a composite number?
False
Let x = -477 + -2589. Let n = -1066 - x. Suppose 5*b + 115 = n. Is b prime?
False
Let y(s) = 14*s**3 - 5*s**2 + s. Let v(u) = -3*u**2 + 11*u + 22. Let r be v(5). Is y(r) a composite number?
True
Suppose -49*w = -44*w - 2370. Let s = w + -120. Suppose 3*g - s - 825 = 0. Is g a composite number?
True
Is (62/(-341) - 250/(-44))/((-1)/(-3314)) composite?
True
Is 2/(-4)*2*(-369789 + 250) a prime number?
True
Is ((-2)/1)/((-60268035)/(-4636005) + -12 - 1) prime?
False
Let m = 491 + -489. Is (-27 + 10034)*m/2 a prime number?
True
Let c = 98225 - 69904. Is c a prime number?
False
Suppose 46*n = 8367411 + 13575095. Is n a composite number?
False
Let o(b) = 2*b**2 + 24*b - 27. Is o(19) composite?
False
Let k(r) = 525*r**3 - 4*r**2 + 3*r + 4. Let i be k(2). Suppose 2*l + 2*y = i, 5*l + 10*y - 10493 = 9*y. Is l a composite number?
False
Let o(w) = -7*w**3 - w**2 - w. Let z be o(-1). Suppose -z*f + 9*f - 4 = 0. Suppose -4*h - 2522 = -f*b, 628 + 3164 = 3*b - 3*h. Is b a composite number?
True
Let u be 6 - -6*10/(-15). Suppose 10 = -58*l + 63*l. Suppose -u*d + 276 = 4*s, 158 = 4*s - l*s - 4*d. Is s a composite number?
False
Let m(h) = 5*h**2 + 8*h + 6. Let v be m(-1). Suppose 0 = 2*w - 4*i - i - 29554, -v*w + 44305 = -i. Is w a prime number?
True
Let p be 20321/14*-14*4/(-14). Suppose -5*r + 3*g + 28207 = 0, -g - p = -r - 163. Is r a prime number?
True
Let w = 87 - 85. Suppose -1891 - 3063 = -w*p. Is p prime?
True
Let d(k) = 2*k**3 - 7*k**2 + 8*k - 7. Let u be d(3). Let y(a) = 165*a + 25. Is y
|
{
"pile_set_name": "DM Mathematics"
}
|
)) + 31 + -25
-61
What is -85 - (116 - 198) - ((-4 - -1 - -19) + -3)?
-16
Evaluate (43 + -106 - -155) + -71.
21
-60 - (-11 + 15 + -8 + -8 + 0 + 7)
-55
-4 + 0 + 2 + -15 + -4 + (54 - 36)
-3
What is 25 + (-107 + 122 - (2 - (-14 + 2)))?
26
Calculate (-81 + (-7 - -27) - -2) + 13.
-46
(-3 - (2 + 4)) + (-25 - -5 - 1)
-30
(221 + -114 - 190) + 31
-52
What is the value of -52 - (2 - (20 - -16))?
-18
74 - (-11 - -35) - 56 - (1 + -5 + 0)
-2
26 - (-37 + 25 + 2 + 22 - (0 + 20))
34
What is the value of 66 + -7 + (32 - 56) + (-9 - 0)?
26
Calculate -1 - -18 - ((-65 - -167) + -63).
-22
Calculate -556 + 567 - (-4 + -23).
38
What is the value of (-4 - 1 - -2) + (6 + -11 + -3 - -7)?
-4
Calculate -85 + 144 + -16 + -98.
-55
Calculate -35 + 55 + (10 - 21).
9
Calculate 115 + 1 + (-3 + (-47 - -12) + 45 - 9).
114
Evaluate -15 + 14 + (-1 - 19) + (51 - 44).
-14
What is the value of (-51 - -31) + 32 - (2 + 2 + -39)?
47
What is the value of -217 + 86 - (-109 + 4)?
-26
Calculate -3 + (67 - ((3 - 8) + 9)) + -685 + 697.
72
Evaluate 0 - 1 - 44 - (4 - 17 - (14 - 26)).
-44
What is the value of (-22357 - -22357) + (49 - (1 + -4 + 2))?
50
What is the value of 5 + (-17 - -4) - (12 + 3 - -49)?
-72
What is the value of (-26 - (-8 - -3)) + -308 + 261?
-68
What is the value of 7 - (6 + (-1 + 1 - (-57 + (10 - -43))))?
-3
36 - (95 + -40 + -28)
9
Evaluate -125 + 195 - (-7 + 33).
44
Evaluate -118 + (44 - -74 - 121).
-121
Evaluate 87 + -6 + -180 + 106.
7
Evaluate -47 + 26 + 16 + (-5 + 52 - 6 - -1).
37
What is (9 - 16) + -11 + -3 - -1?
-20
Evaluate -8 + (2 - 60) + 43 - -18.
-5
Calculate -9 - (-4 + 7 + -8) - (-7 - -18).
-15
Evaluate -4 + (-36 - 104 - -141) + -1 + -18.
-22
What is (4 + (4 - 5) - -4) + (4 - (-1 + 20))?
-8
What is (6 - (-3 - -3)) + -20 + 35 + 13?
34
Calculate -50 + 141 + 43 + -88.
46
What is the value of -23 + ((-6 - 3) + -3 - -12)?
-23
Calculate (-486 - -376) + (13 + 6 - -4).
-87
Evaluate 73 + -210 + 112 + -82.
-107
(-16 - 1) + (-1 + -13 - (-68 + (103 - 41)))
-25
Evaluate (4 - 1) + -16 + (-18 - (-33 - -9) - -10).
3
Evaluate 1 - -34 - (-1520 + 1549) - -3 - (114 + -1).
-104
What is the value of 34 + (0 - ((250 - 243) + 13 + 0))?
14
(29 - (-34 + 33)) + -41
-11
-8 + 13 + -3 + -28 + 2
-24
What is 2427 + -2384 + (-1 - -1) + 42?
85
Evaluate 47 + -56 - (-2 + -55) - -15.
63
What is -96 + 3 + (3 - -4) + -21 + -20?
-127
Evaluate -3 + -5 + 85 + -82 + (-81 - -5) + 1.
-80
Calculate (2095 - 2088) + (-1 - 26).
-20
Evaluate -14 - -8 - 2 - (-47 - -4).
35
Evaluate (4 - 31) + 5 - ((-1 + 7 - 9) + 7).
-26
What is -6 - (106 + (-13 - 1 - (48 + -78)))?
-128
-33 + -21 + 34 + 1 + 22 + 1
4
0 - 37 - (-224 - -154)
33
(52 + -9 - 89) + 39 + (-3 - -2) + -68
-76
What is -22 + (37 - -6) - -1 - 67?
-45
Calculate (59 - 29) + (11 + -28 - -5).
18
What is the value of -58 - (-187 - (106 + -127))?
108
Evaluate (155 - 87) + -6 + -13.
49
What is the value of 8 - -2 - ((-3 - -22) + -98 + 37)?
52
Calculate (10 - -1) + (578 - 604) - 0.
-15
What is the value of 710 - 702 - (49 + 2)?
-43
Evaluate -67 - -60 - 17 - -8.
-16
Evaluate -1 + 0 + -3 - -27 - (-5211 - -5346).
-112
-54 - -3 - (36 - (118 - 83))
-52
Evaluate 1 + -1 + -3 - (117 + 12 + -126).
-6
What is -265958 + 265951 + (1 + -89 - (-2 - -1))?
-94
What is the value of -47 - (-101 + 19 - -104)?
-69
What is the value of 8 - (54 + -81 - -53)?
-18
What is the value of 9 + -56 + 39 + (-1 - -13)?
4
What is the value of 4 - (-6 + 2 + (15 - 24))?
17
What is 2 + 6 + 5 + 9 + -27 + (-2 - 7)?
-14
What is the value of 3 - 62 - (-468 - -458)?
-49
Calculate (40 + -65 - -14) + -37 + 27.
-21
Calculate -1 + -5 - (-412 + 130 + 296).
-20
What is the value of 54 - (105 - (22 + -14))?
-43
15 + (17 - (-21 - (-17 + -23)))
13
What is (42 - 38) + 10 + (11 - 3)?
22
97 + -50 + 35 + -82
0
What is the value of 5 + -10 + -4 + -2 + 6 - -30?
25
What is the value of 77 + 1 - (-985 - -1018) - -3?
48
42 + -22 + -24 + -26
-30
What is -32 + 36 + (2 + -4 - -7) + (36 - 25)?
20
-9 - -4 - (-2 + 2 + 7 + (566 - 478))
-100
Evaluate -4 + 1 + -106 + -52 + (-27 - -95).
-93
14 + (8 + -3 - -22) - -21
62
40 - (21 - (47 + -184))
-118
What is the value of (5 - 10) + -55 + (3 - -26 - 14)?
-45
Calculate (-25 - (-11 - (-28 - -27))) + -44.
-59
Evaluate (-30 - -159) + -103 - (14 + -1).
13
What is (0 - -27) + (-4559 - -4503)?
-29
What is -24 + 11 + (-24 - -19) + 50?
32
Calculate (-2 - (-43 + -2)) + (15 - 52 - -38).
44
What is the value of -23 + 68 + -48 + -14?
-17
What is the value of (-2 - 10) + 66 + (-52 - 38)?
-36
Evaluate (26 + -24 - 16) + (3 - -106).
95
What is -11 + 0 - (-17 - (-9 + 0 + -1 - 2))?
-6
What is the value of 1815 + -1824 + 3 + (-1 + -18 - 2)?
-27
What is 1 - 2 - (-13 + -16 + 23) - -26?
31
What is -108 + (-52 + 23 - -85)?
-52
What is the value of -73 + 76 + -48 + 88?
43
13 + 32 + (-4 + 0 - (-1 - (9 - 9)))
42
Calculate 526 + -535 - (8 - 4 - 27 - 3).
17
What is the value of 48 - (68 - 38 - 32)?
50
134 + (-8 - (-1 - 10)) - (7 - (2 + 0))
132
Calculate 92 - 117 - -145 - 8.
112
Evaluate 31 + -151 + 103 - 13.
-30
Evaluate 136 + -80 - 111 - (-1 - 13).
-41
What is the value of 0 - (-93 - -14) - (-17 - (-3 + 2) - 0)?
95
Evaluate 9 + (19 - 105) - -126.
49
4 + 25 + -21 + -39
-31
Calculate -2 - -19 - (-77 + (62 - 10)).
42
120 + 136 - 126 - 150
-20
What is -1 - (0 - 0) - (-106 + (-64 - -183))?
-14
What is (-2 - 39) + 64 + -71 + 28 + 103?
83
Evaluate 2793 + -2812 - (-68 - -1).
48
What is 54 + 125 + -64 + -19 + -2?
94
3 - (8 - 39 - (10 + -5 + 0 - 1))
38
Evaluate 10 + -2 + -21 - -3 - (-13 + 27 + -1).
-23
Evaluate -47 + -13 + 21 + 46.
7
What is -10 + (-1 - -48) + (-55 - (-7 - 58))?
47
What is (70 - -2) + (-16 - (-2 + 5 + -8) - -7)?
68
Evaluate -3 - (-19 + 64 - 83) - 58.
-23
Calculate (23 - (82 + -63)) + -122.
-118
What is (32 - -9) + -10 + (15 - 32) + 9 + 3?
26
15 + -12 + 15 + -9 + 80
89
-202 + -110 + 211 + 126
25
(-24 - -4) + -53 + (-17 - -39)
-51
Evaluate -22 + (14 + -10 - 7).
-25
What is the value of -94 - (0 + -23 + (-144 - -191))?
-118
Calculate -21 - (6 - (5 + 27 - 21)).
-16
41 + (26 + -1 - (-284 - -289)) + (2 - 1)
62
49 + -42 + 28 + -17 + (3 - 39)
-18
Evaluate 60 + (-7 - (17 - -5) - (18 + -24)) + 10.
47
46 + (-2 + 1 - 0 - ((-21 - 4) + 16))
54
(90 - (-2 + 42)) + -59
-9
-80 + 113 + -79 + 19
-27
What is the value of (-2 - -14) + -4 + -75 + (-3 - (29 - 21))?
-78
What is the value of 4 + 1 + 62 + -60 + -1 + (-338 - -184)?
-148
What is (1493 - 1390) + (1 - (9 + -1 - (-7 + 10)))?
99
18 - ((-9 - -10 - -4 - 27) + 13)
27
What is 12 + (-17 - ((-4 - 7) + 1)) - -2?
7
What is 9 + 1 - (-214 + 169 + 15)?
40
What is the value of 18 + (-101 - 6) - (-15 + -11)?
-63
What is 0 + 113 - ((-142 - -29) + 102)?
124
5 + (-6 + (5 - 1) - (-5 + 34 - 46))
20
What is the value of 15 + -4 - (-28 - -30) - -7 - -13?
29
86 + -132 + (-8 - -30)
-24
What is the value of 10 - (-6 + -28 + -11 + (14 - 12))?
53
Evaluate -54 + -8 + (0 + 7 - (122 - 139)).
-38
What is the value of 20 - -3 - -39 - 96?
-34
Evaluate (-14 - -135 - 15 - (-41 - -34)) + 5.
118
Calculate 2 + 17 - (201 - 155).
-27
-52 + 63 + (-14 - 11) + 4
-10
What is 10 - 7 - (-21 - (-39 + 20)) - -2?
7
-67 + -1 + 6722 + -6763
-109
Evaluate 8 - (33 + -2 - (-70 - -92)).
-1
Evaluate 70 + -41 + -106 + 162.
85
What is the value of (2 - ((-7 - 1) + (42 - 35))) + -8?
-5
18 - (87 + -61 - (-3 - -10))
-1
What is -9 - -37 - 66 - -93?
55
Evaluate 9 + 0 + -1 - (-58 + 56 + -4).
14
24 + 1 - ((8 - 37) + 9 + 12)
33
What is 6 + (-13 - (-17 - (-12 - -10 - -13)))?
21
What is (-2 - 19) + (-95 - -95) + 59?
38
122 + -58 + 5 + (-7 - (0 + -5)) + -2
65
Evaluate (-1 + -18 + 202 + -190 - (-4 - -1)) + 89.
85
Evaluate (-43 - -60) + -39 + 101.
79
What is the value of 30 + -9 + 9 + 8 + -9 + -9?
20
What is 14 + 2 - (109 + -66)?
-27
Calculate (-21 - -50) + -31 + (3 - -112 - 8).
105
What is the value of 0 + 43 + -11 + (0 - 14 - (45 + -80))?
53
19300 - 19353 - (10 - 1)
-62
What is -18 + (137 + -143 + 2 + 13 - 45)?
-54
-209 + 158 + -12 - (0 - 0 - -12)
-75
17 + 10 + -8 - (-11 - -22)
8
Evaluate 54 - (17 - (4 - (7 + -17)) - 4).
55
What is 16 + -26 + 11 + -9 + -9 + 62?
45
(14 - 5) + -86 - (7 + -5 + -5 - 11)
-63
What is the value of (-24 - (4 - (-9 - -9 - 7 - -22))) + -46?
-59
What is the value of 48 + -32 - 16 - -31?
31
What is -2 - 0 - (-51 - -96 - 60 - (3 - 12))?
4
-117 + 184 + -74 + 124
117
What is 70 - ((-82 - -53) + 75)?
24
Evaluate -14 - (1
|
{
"pile_set_name": "DM Mathematics"
}
|
for z.
0
Suppose 14*b = 3*b + 6*b. Solve b = -4*s + 2*s + 2 for s.
1
Suppose -d + 3*d - 10 = 0. Let j = 101 + -86. Solve -j = -d*b - 0*b for b.
3
Let p be (-12)/(-7) - (-9)/((-126)/(-4)). Solve -p*b + 12 = 2*b for b.
3
Let c(g) = -g**2 - 7*g - 1. Let i = 14 + -20. Let z be c(i). Suppose o - z*h = 27, -2*o + 24 = -4*h - 0*h. Solve -o*s = -3 - 3 for s.
3
Let i(y) = y + 8. Let l be i(-8). Solve l = 6*b - 2*b - 12 for b.
3
Let l(j) = -j - 5. Let x be l(-8). Let g be (-1 + (-2)/(-1))*17. Suppose 4*s - 3*a + a = 42, -x*a + g = 2*s. Solve 0 = 3*y - y - s for y.
5
Let v = -27 + 32. Solve 7 = v*g - 18 for g.
5
Suppose -s + 3*m = -4 + 2, 5*s + m = 10. Suppose -7*b + s*b + 25 = 0. Suppose 0*k = 5*k - b. Solve -o = -4 + k for o.
3
Suppose -2*v + 22 = -w, -5*w - 42 = -2*v - 4. Solve 7*a - 4*a = -v for a.
-3
Let c be 0 + 3 + -3 + 1. Suppose 0 = 5*k - 10 - 0. Suppose k*h - h = c. Solve -13 = -3*p - h for p.
4
Let r = -5 + 7. Suppose -4 = -3*x - u, 0*u + 8 = 4*x + 2*u. Solve -q - r*q = x for q.
0
Suppose -6*q - 15 = -63. Solve 5*j - 2 = q for j.
2
Suppose -4*c - 10 = 5*b + c, 5*c + 25 = 0. Solve 2*k - b = k for k.
3
Let l(y) = y**2 - 12*y - 7. Let v(t) = t. Let m(b) = -l(b) - 6*v(b). Let w be m(7). Solve d + d = w for d.
0
Let w(p) = p**2 - 10*p - 11. Let h be w(12). Solve h - 1 = 3*d for d.
4
Let f(d) = d**3 - 3*d + 3. Let t be f(2). Let q be t/2 - (-4)/8. Solve -j + q*j = 2 for j.
1
Suppose -28*n + 30*n - 6 = 0. Solve -n*l - 25 = -8*l for l.
5
Let x be (2/3)/(2/12). Let r(c) = -2*c + 5*c + 1 + 3 - x*c. Let p be r(-6). Solve 4*u + 26 = p for u.
-4
Let f be 96/9*(-18)/(-12). Solve -f = 3*x - 4 for x.
-4
Suppose -4*q + 6 = -14. Solve 15 = -q*g - 5 for g.
-4
Let o = 39 - 27. Suppose o = -2*k + 4*d, 4*d + 9 = 21. Solve -2*x + 0*x - 4 = k for x.
-2
Suppose 0 = 5*d + 29 - 34. Solve d = o - 1 for o.
2
Suppose 1 = 3*k + 5*g, 3*g + 0*g - 5 = -4*k. Solve -k*f - 2 = -0 for f.
-1
Let b be (-2*3)/(-1 - 1). Let g = -10 - -15. Suppose h = g*a + 29, a + 32 = 3*h - b*a. Solve -5*y + 4*y = -h for y.
4
Suppose 3*r = v - 14, -2*v + 2*r + 16 = -0*r. Solve 0 = -j - v for j.
-5
Suppose 4*k = 5*h + 80, -2*k - 2*h = -3*h - 40. Let u be (k/2)/(2/4). Let a = -9 + 13. Solve -a*d + 0*d = u for d.
-5
Let g(q) = 8*q - 11. Let m be g(9). Let u = -36 + m. Solve -4*t - t = u for t.
-5
Suppose -11 - 7 = -2*b + 3*s, 3*s = 0. Solve 4*w = b*w for w.
0
Suppose -3*j = -5*p + 15, -3*j = p - 3*p + 15. Suppose -4*y - g - 6 = -22, -5*g = p. Solve 0 = -y*o - 6 - 6 for o.
-3
Suppose 3*q - 38 = 4*a, -2*a + 0*q - q - 14 = 0. Let f = 16 + a. Solve 3*v = v - f for v.
-4
Let k(g) = g**2 + 5*g - 2. Let f be k(-4). Let h be (-1)/(1*2/18). Let j = f - h. Solve -5*v + 4*v = -j for v.
3
Let j(y) = -3*y - 5. Let x be j(-4). Let d(h) = h**2 - 9*h + 2. Let m = 13 + -4. Let g be d(m). Solve g*l = x - 3 for l.
2
Let o be (6/(-5))/(20/(-50)). Solve 5*v - o*v = -10 for v.
-5
Suppose 5*n - 7 = 3. Let j be ((-20)/8)/(1/(-2)). Suppose -4*s - 1 = -5. Solve -n*u - s = -j for u.
2
Let b(s) = 3*s**2 - 1. Suppose 0*z = -5*z. Suppose 4*p + 3 + 1 = z. Let u be b(p). Solve u*d - 4*d = 2 for d.
-1
Suppose -2*y + 4*i + 19 = -9, 0 = 5*y + 4*i. Let q(h) = 2*h**2 + 9*h - 8. Let v be q(-7). Let o = -15 + v. Solve x = y*x - o for x.
4
Let q be (-8)/(-20)*5*2. Solve c + q = 1 for c.
-3
Let t(g) = g**2 + 2*g**2 + 4 - 5. Let y be t(2). Let o be 291/33 + 2/y. Solve -l - o = 2*l for l.
-3
Suppose -10 = -2*j, -3*j + 10 = -3*f - j. Solve f*w + 5*w = 10 for w.
2
Let y be (-5)/((-5)/2) + -7. Let z = 0 + y. Let g be (1 + 1)/((-2)/z). Solve -2*p + 5 = -g for p.
5
Suppose 11 - 3 = 8*v. Solve 0*r = r - v for r.
1
Let h(a) = a**3 + a**2 - 2*a. Let u(r) = r + 5. Let n be u(-7). Let s be h(n). Solve -k + 4*k = s for k.
0
Suppose -j - 10 = -h - 2*h, 5*h = 3*j + 14. Solve -4*t = -j*t + 8 for t.
-4
Suppose -2 = -r + 1. Suppose 0 = -s + 4*g + 3 - 8, -5*s = r*g - 21. Let p be (-1)/(-1 + 0) - 0. Solve c - s = p for c.
4
Let s(h) = h**2 - 3*h + 2. Let d be s(4). Let b = d - 4. Solve b*p = -0*p + 10 for p.
5
Let i(w) = -2*w**2 + 3*w**3 - 4*w**3 - w**2 + 3*w. Let u be i(-4). Suppose t + u*k = 1 + 1, -t = k - 2. Solve -y = t*y for y.
0
Let z(i) be the second derivative of -i**4/12 + i**3/3 + i**2/2 + 2*i. Let t be z(2). Suppose -t = h - 5. Solve -g - 10 = h*g for g.
-2
Let o = 6 + -2. Solve -3*g - g = o for g.
-1
Suppose -4*u + 5*d + 15 = 0, -2*u + u - 9 = 3*d. Solve -s + 3 + 1 = u for s.
4
Suppose -3*d + 0*d + 20 = 4*x, -2*x = -3*d + 8. Let w be 4/(-6) - (-32)/(-6). Let y(u) = u**2 + 6*u + 4. Let k be y(w). Solve 0 = 2*h - x - k for h.
3
Suppose 2*u + 2*u - 35 = 3*i, 3*i = -3*u. Suppose 12 = -u*j + 2. Let p = j - -5. Solve p*r = -2*r for r.
0
Suppose 5*n - 17 = 53. Suppose -n + 302 = 2*o. Let v be (-2)/7 - o/(-14). Solve 2*j + v = -0*j for j.
-5
Let p(c) = c**2 + 9*c + 6. Let h be p(-9). Solve 2*x = -0*x - h for x.
-3
Let l = -6 - -21. Let m(i) = -i**2 + i - 5. Let w be m(0). Let s be (-1)/3 - w/l. Solve p - 2*p = s for p.
0
Suppose -5*x + t = -5, 2*x - 5*t + 4*t = -1. Solve 0*i - x = 2*i for i.
-1
Suppose -3 = -g + 10. Suppose 4*i + 5*c = -0*c - g, c - 38 = 5*i. Let t = -4 - i. Solve -7 = 2*l + t for l.
-5
Let v be (2*-1 + 3)/((-3)/(-9)). Solve v*o + 9 = -6 for o.
-5
Let v be (12/10)/(2/10). Let g be 4 + 14/2 + -6. Solve g*w - v = 2*w for w.
2
Suppose -7 = 5*f - 52. Suppose f = v + 2*v. Suppose m - 2*m = -2*y - v, 3*y - m + 3 = 0. Solve y*d = 3*d + 9 for d.
-3
Let o be ((-10)/(-4))/(5/10). Solve 2*t + o = 3 for t.
-1
Let t = 25 - 22. Solve -10 = t*w + 2 for w.
-4
Let x = 18 + -18. Solve -5*h + 10 - 25 = x for h.
-3
Suppose 3*t - 5*q - 4 = 0, 0 = -5*t - 5*q - 5 + 25. Suppose 7*b + 8 = -t*y + 2*b, 4*b = 2*y - 24. Solve -y*w + 2*w + 6 = 0 for w.
3
Suppose -3*b - 14 + 5 = 0. Let d be 16/3 + b/9. Suppose -3*p - 5 = 4*s - 24, -d*s + 24 = 4*p. Solve 0*k + s*k = 0 for k.
0
Let x(g) = g - 1. Let r be x(9). Solve r = -5*w + w for w.
-2
Let l be 2 + (2 - -2)/4. Solve -3 = l*n - 6 for n.
1
Let p be (-1503)/(-117) + (-4)/(-26). Let n = 18 - p. Solve -o = -n*o - 8 for o.
-2
Suppose -5*t + 5*b + 5 = 0, 0 = 2*t - 0*t + b - 11. Suppose 0 = t*k + 11 - 59. Solve 0 = 6*h - 2*h - k for h.
3
Let l(v) = v - 11. Let b be ((-8)/16)/((-1)/22). Let z be l(b). Solve z*k - k = 0 for k.
0
Suppose 4*w + 11 - 39 = 0. Let m(j) = j**2 - 9*j + 7. Let t be m(w). Let p = -3 - t. Solve -10 + p = -2*c for c.
3
Let d = -12 - -12. Solve d = -3*l + 8*l for l.
0
Suppose -3*k = -4*a - 14 - 2, -5*k - 12 = 3*a. Solve k + 12 = 4*q for q.
3
Let j(l) = l**3 + 2*l**2 - 2*l - 2. Let i be j(-2). Solve 3*h - i = 4*h for h.
-2
Let f(c) = -c**3 - 8*c**2 - 9*c - 9. Let t be f(-7). Suppose -t = -3*k + 1. Solve -3 = i - k for i.
-1
Suppose 12 = -5*p + p - 3*c, 2*c = -4*p - 8. Solve 2*u + 6 - 2 = p for u.
-2
Let b(y) = -y**3 + 15*y**2 + 16*y + 11. Let z be b(16). Solve -3 + z = -2*a for a.
-4
Let b = -4 - -2. Let h(v) = -v**2 - 2*v + 1. Let u(a) = -5*a**2 - 11*a + 6. Let r(y) = -11*h(y) + 2*u(y). Let k be r(b). Solve -2*z + k*z + 6 = 0 for z.
-2
Let q(m) = -m**3 + 7*m**2 + 9*m - 8. Let t be q(8). Solve 2*c = -t*c for c.
0
Let f = -16 - -11. Let i = -3 - f. Suppose -y = -5, 10 = -0*u - i*u + 2*y. Solve 2*o + 0 + 4 = u for o.
-2
Suppose -3*k = -4*k + 1. Let x be (-6)/(-2 - 0) - k. Solve -x*p + 7 - 1 = 0 for p.
3
Suppose 2*n = -0*n + 4. Suppose -n*k = 4*b - 6, -5*b = 6*k - k. Solve b*f = 2 + 7 for f.
3
Let v = -3 - -5. Suppose 0 = -x + 1 + 5. Let s = x + -2. Solve s*u + 6 = v for u.
-1
Suppose 4*w - 21 = -3*m, -10 = -5*w + 5. Suppose 0 = -4*k + m*a + 10, 2*a = -3*k - a - 3. Solve 2*h = -7 - k for h.
-4
Let r = 6 + -5. Solve 0 = 2*c + 1 + r for c.
-1
Let q(t) = 3*t**2 - t - 2. Let o be q(-2). Let a = o + -12. Solve 1 = c - a for c.
1
Let c be (-10)/(2*(-2)/10). Let t = 2 - 2. Suppose t*l - 18 = -3*l. Solve h = l*h + c for h.
-5
Suppose 2*q + 2*g = -3*g + 5, -3*q - 1 = -g. Solve -3*y + 6*y - 6 = q for y.
2
Let u(b) = b**2 + 3*b - 2. Let s be u(-4). Suppose 2 = 4*f - s. Solve -f + 6 = 5*z for z.
1
Let l = 8 + 6. Let z be 60/l - (-12)/(-42). Solve 5*f + z = -1 for f.
-1
Let m be 120/21 + 4/14. Suppose 0*x - 5*v = -2*x - 19, 7 = 4*x - v. Suppose -2*l = -0*l. Solve l*n + m = -x*n for n.
-2
Suppose -3*z + 6 = -7*z - 2*y, 9 = z - 3*y. Suppose z = -4*v - 4*o + 1 - 5, 0 = -5*v - o + 7. Solve -l - 1 = -v for l.
1
Let h(o) = -7*
|
{
"pile_set_name": "DM Mathematics"
}
|
are there in 73/5 of a litre?
14600
How many millilitres are there in 1/4 of a litre?
250
How many centuries are there in 6/5 of a millennium?
12
What is seven eighteenths of a day in seconds?
33600
What is 16955.085 months in years?
1412.92375
How many milligrams are there in twenty-nine halves of a gram?
14500
What is 3/50 of a gram in milligrams?
60
What is 52/5 of a micrometer in nanometers?
10400
What is 6/25 of a meter in millimeters?
240
What is 7.193539m in millimeters?
7193.539
How many hours are there in 0.1423929 days?
3.4174296
What is 73/5 of a litre in millilitres?
14600
What is 57/2 of a litre in millilitres?
28500
What is twenty-six fifths of a litre in millilitres?
5200
What is 4063.159 kilograms in nanograms?
4063159000000000
What is 1/10 of a litre in millilitres?
100
What is 932435.6 centuries in years?
93243560
What is 4989.057ng in kilograms?
0.000000004989057
Convert 1.100283 millennia to years.
1100.283
How many milliseconds are there in 5976.794 nanoseconds?
0.005976794
What is 16/7 of a week in hours?
384
What is 3/5 of a litre in millilitres?
600
What is eighty-one quarters of a milligram in micrograms?
20250
What is thirteen quarters of a centimeter in micrometers?
32500
Convert 524.3176t to grams.
524317600
Convert 19003.56ms to microseconds.
19003560
Convert 0.3649446 micrometers to millimeters.
0.0003649446
Convert 9.387837cm to micrometers.
93878.37
What is fourteeen ninths of a hour in seconds?
5600
What is 8.64979mm in kilometers?
0.00000864979
What is 96328.99t in nanograms?
96328990000000000000
Convert 1.698291km to millimeters.
1698291
What is 0.7670607km in micrometers?
767060700
What is 58.915 years in millennia?
0.058915
Convert 23484.75km to meters.
23484750
How many millimeters are there in 31.53953km?
31539530
Convert 284.0449nm to millimeters.
0.0002840449
How many litres are there in 3239.365ml?
3.239365
Convert 4808.897t to grams.
4808897000
Convert 939.7219 nanograms to milligrams.
0.0009397219
How many years are there in 6798.133 decades?
67981.33
How many millilitres are there in 6/5 of a litre?
1200
How many millimeters are there in 7/4 of a meter?
1750
Convert 0.218509 kilograms to micrograms.
218509000
What is 792.6543 decades in years?
7926.543
What is twenty-one halves of a litre in millilitres?
10500
How many minutes are there in 4/21 of a week?
1920
Convert 114272.46 months to decades.
952.2705
How many millilitres are there in 6/5 of a litre?
1200
Convert 72.787698 minutes to days.
0.0505470125
What is 7251.865g in micrograms?
7251865000
How many micrometers are there in 1/4 of a millimeter?
250
What is 0.5812319 litres in millilitres?
581.2319
What is 61069.55 centuries in millennia?
6106.955
How many milliseconds are there in one sixth of a minute?
10000
How many millilitres are there in six fifths of a litre?
1200
How many millennia are there in 553.6993 years?
0.5536993
What is fifty-two fifths of a litre in millilitres?
10400
How many milligrams are there in 44/5 of a gram?
8800
What is 654583.6 millimeters in centimeters?
65458.36
What is 3/5 of a kilometer in centimeters?
60000
What is 89.86196ng in grams?
0.00000008986196
What is 19/4 of a litre in millilitres?
4750
What is 1.040143ml in litres?
0.001040143
What is 13277.81 litres in millilitres?
13277810
How many decades are there in eleven halves of a century?
55
How many millimeters are there in thirty-four fifths of a meter?
6800
How many microseconds are there in 98.48552 nanoseconds?
0.09848552
What is 0.5271066ml in litres?
0.0005271066
Convert 0.4231245 weeks to nanoseconds.
255905697600000
What is 79799277.6us in weeks?
0.00013194325
What is twenty-one eighths of a centimeter in micrometers?
26250
How many millilitres are there in seven halves of a litre?
3500
What is 21/4 of a gram in milligrams?
5250
How many minutes are there in six fifths of a day?
1728
How many kilograms are there in 8012.747 grams?
8.012747
Convert 669.7607 years to centuries.
6.697607
How many millilitres are there in 8/25 of a litre?
320
How many centimeters are there in 55/4 of a meter?
1375
How many kilograms are there in 1.2273 tonnes?
1227.3
How many milligrams are there in six fifths of a gram?
1200
What is 16551.21 years in months?
198614.52
What is one twentieth of a meter in centimeters?
5
What is six fifths of a decade in months?
144
How many microseconds are there in 60033.24 hours?
216119664000000
What is fourty-three halves of a century in decades?
215
Convert 51.87857ug to kilograms.
0.00000005187857
What is seven quarters of a litre in millilitres?
1750
What is 5/4 of a meter in centimeters?
125
How many months are there in five eighths of a millennium?
7500
How many millimeters are there in 43/2 of a meter?
21500
Convert 4.355498 grams to kilograms.
0.004355498
What is 258850.32 months in decades?
2157.086
How many millilitres are there in one tenth of a litre?
100
How many days are there in eight sevenths of a week?
8
What is seven eighths of a litre in millilitres?
875
What is 18/5 of a micrometer in nanometers?
3600
What is three fifths of a meter in millimeters?
600
What is 12/7 of a week in hours?
288
Convert 63.34509 years to months.
760.14108
How many millilitres are there in 0.4657248l?
465.7248
How many millimeters are there in twenty-five halves of a centimeter?
125
What is 95173.4 kilograms in micrograms?
95173400000000
Convert 0.7052162 millilitres to litres.
0.0007052162
What is three eighths of a meter in millimeters?
375
How many years are there in 1/5 of a decade?
2
What is 37/2 of a century in decades?
185
What is 11/2 of a gram in milligrams?
5500
How many milliseconds are there in 35.87977 weeks?
21700084896
How many micrometers are there in 3/5 of a centimeter?
6000
What is 9060.033mg in grams?
9.060033
How many millilitres are there in five quarters of a litre?
1250
How many millilitres are there in 51/2 of a litre?
25500
Convert 598.1246 kilograms to milligrams.
598124600
How many centimeters are there in 6/5 of a meter?
120
How many hours are there in 192.80493ms?
0.000053556925
What is eleven halves of a litre in millilitres?
5500
What is six fifths of a litre in millilitres?
1200
What is one quarter of a litre in millilitres?
250
Convert 9140.141g to nanograms.
9140141000000
How many micrograms are there in 1193.473 milligrams?
1193473
What is 1/16 of a kilogram in milligrams?
62500
Convert 638918.8l to millilitres.
638918800
What is 3780.66 meters in nanometers?
3780660000000
How many millimeters are there in three eighths of a meter?
375
What is 17/4 of a millimeter in micrometers?
4250
How many nanoseconds are there in 564.1128 weeks?
341175421440000000
What is 7/8 of a litre in millilitres?
875
What is 155216.6 centuries in months?
186259920
What is 4.0565 days in seconds?
350481.6
What is 11/2 of a second in milliseconds?
5500
What is 7.497994ng in micrograms?
0.007497994
Convert 6458.169 weeks to milliseconds.
3905900611200
How many litres are there in 88416.89ml?
88.41689
Convert 20207.56 weeks to milliseconds.
12221532288000
How many centimeters are there in five quarters of a meter?
125
How many milligrams are there in 8/25 of a gram?
320
How many millimeters are there in 7/8 of a meter?
875
What is 1027.7466 months in years?
85.64555
Convert 210181.7 litres to millilitres.
210181700
How many months are there in 26/5 of a decade?
624
How many milligrams are there in 15/4 of a gram?
3750
Convert 662.601 kilograms to grams.
662601
What is 1/15 of a millennium in months?
800
What is 238843.2 millennia in decades?
23884320
What is 6.028058mm in micrometers?
6028.058
What is 492.2701 kilometers in meters?
492270.1
What is 214.25232 milliseconds in minutes?
0.003570872
Convert 97.07 milligrams to kilograms.
0.00009707
How many millilitres are there in 5/4 of a litre?
1250
What is fifty-one fifths of a second in milliseconds?
10200
Convert 147036.7 kilometers to micrometers.
147036700000000
What is 20472.1668ms in days?
0.000236946375
How many millilitres are there in 11/8 of a litre?
1375
How many millilitres are there in 44.82374l?
44823.74
How many millilitres are there in 3/50 of a litre?
60
How many millilitres are there in thirty-four fifths of a litre?
6800
How many millilitres are there in 31
|
{
"pile_set_name": "DM Mathematics"
}
|
5.
5, 107, 141199
List the prime factors of 50501747.
17, 1447, 2053
What are the prime factors of 599816371?
7, 11, 7789823
What are the prime factors of 325494702?
2, 3, 13, 491, 2833
List the prime factors of 83569352.
2, 541, 19309
What are the prime factors of 39752232?
2, 3, 13, 103, 1237
What are the prime factors of 6007222?
2, 13, 17, 13591
What are the prime factors of 48588315?
3, 5, 31, 104491
What are the prime factors of 4754152?
2, 13, 17, 2689
List the prime factors of 27344874.
2, 3, 17, 227, 1181
What are the prime factors of 3342433403?
239, 2063, 6779
List the prime factors of 123655987.
7, 13, 1358857
List the prime factors of 42203777.
7, 11, 389, 1409
List the prime factors of 686344074.
2, 3, 13, 8799283
What are the prime factors of 101882738?
2, 43, 1184683
What are the prime factors of 9205606761?
3, 13, 19, 641, 19381
What are the prime factors of 24796134?
2, 3, 11, 61, 2053
What are the prime factors of 609943778?
2, 304971889
List the prime factors of 44042552.
2, 1289, 4271
List the prime factors of 103620550.
2, 5, 11, 188401
What are the prime factors of 1313170898?
2, 13, 3885121
What are the prime factors of 4166345?
5, 833269
List the prime factors of 42334437.
3, 17, 31, 26777
List the prime factors of 5637523443.
3, 12113, 155137
What are the prime factors of 70931970?
2, 3, 5, 29, 9059
List the prime factors of 64988276.
2, 31, 524099
List the prime factors of 113989566.
2, 3, 2699, 7039
What are the prime factors of 2007862640?
2, 5, 7, 43, 83383
What are the prime factors of 48241987?
751, 64237
What are the prime factors of 558231149?
7, 2099, 37993
What are the prime factors of 58446676?
2, 491, 29759
List the prime factors of 342198683.
19, 18010457
List the prime factors of 700205169.
3, 23, 10147901
What are the prime factors of 4282596417?
3, 11, 461, 281509
What are the prime factors of 495574224?
2, 3, 73, 233, 607
What are the prime factors of 4913938?
2, 109, 22541
List the prime factors of 137746227.
3, 37, 1240957
List the prime factors of 91875182.
2, 7, 53, 123821
What are the prime factors of 305305973?
7, 43615139
List the prime factors of 31190313.
3, 7, 11, 19289
What are the prime factors of 138362364?
2, 3, 7, 29, 6311
What are the prime factors of 15582729?
3, 347, 14969
List the prime factors of 24591596.
2, 107, 57457
List the prime factors of 104838188.
2, 7, 13, 149, 1933
List the prime factors of 699716075.
5, 269, 104047
List the prime factors of 2134129156.
2, 31, 17210719
List the prime factors of 325611892.
2, 19, 225493
List the prime factors of 2466873168.
2, 3, 29, 113, 15683
List the prime factors of 2091979671.
3, 1327, 525491
What are the prime factors of 172808420?
2, 5, 19, 454759
List the prime factors of 616254142.
2, 7, 44018153
List the prime factors of 5237143356.
2, 3, 19, 103, 223009
List the prime factors of 4908034958.
2, 2454017479
What are the prime factors of 54504655?
5, 2711, 4021
What are the prime factors of 143114895?
3, 5, 7, 11, 103, 401
List the prime factors of 3536019393.
3, 101, 11670031
What are the prime factors of 1052431382?
2, 439, 1198669
What are the prime factors of 373333244?
2, 163, 572597
List the prime factors of 196801884.
2, 3, 43, 127133
What are the prime factors of 636719821?
883, 721087
What are the prime factors of 10317082?
2, 317, 16273
List the prime factors of 6370817584.
2, 311, 1280309
What are the prime factors of 1699829659?
11, 1609, 8731
List the prime factors of 4321957706.
2, 11, 1289, 152407
What are the prime factors of 30543287?
23, 43, 89, 347
List the prime factors of 14565505.
5, 31, 93971
What are the prime factors of 1546126123?
53, 223, 130817
What are the prime factors of 67183641?
3, 7, 373, 953
What are the prime factors of 129283267?
67, 1929601
What are the prime factors of 2466386123?
149, 2239, 7393
List the prime factors of 222983706.
2, 3, 11, 1489, 2269
List the prime factors of 163579022.
2, 2879, 28409
List the prime factors of 307858946.
2, 109, 1412197
What are the prime factors of 587650773?
3, 757, 258763
What are the prime factors of 460263504?
2, 3, 9588823
What are the prime factors of 2740960247?
311, 1621, 5437
List the prime factors of 375390507.
3, 125130169
What are the prime factors of 46639900?
2, 5, 71, 6569
What are the prime factors of 206546203?
206546203
What are the prime factors of 210761072?
2, 19, 53, 103, 127
What are the prime factors of 5049818?
2, 2524909
List the prime factors of 2775362202.
2, 3, 509, 302921
List the prime factors of 80022052.
2, 11, 971, 1873
What are the prime factors of 89118810?
2, 3, 5, 11, 90019
List the prime factors of 308460445.
5, 347, 177787
What are the prime factors of 134452087?
7, 11, 149, 11719
What are the prime factors of 8000519483?
11, 71, 83, 1487
List the prime factors of 176580182.
2, 163, 541657
What are the prime factors of 33842405?
5, 6768481
List the prime factors of 47911538.
2, 29, 826061
List the prime factors of 64710066.
2, 3, 337, 32003
List the prime factors of 275579160.
2, 3, 5, 523, 4391
What are the prime factors of 4391033563?
7, 627290509
List the prime factors of 397903354.
2, 3137, 63421
What are the prime factors of 268880381?
7, 11, 17, 19, 569
What are the prime factors of 2490215968?
2, 5903, 13183
What are the prime factors of 75859212?
2, 3, 11, 13, 44207
List the prime factors of 3167797237.
11, 287981567
What are the prime factors of 1262959312?
2, 881, 89597
What are the prime factors of 50824066?
2, 23, 29, 31, 1229
List the prime factors of 139134883.
227, 612929
What are the prime factors of 777006703?
11, 41, 156623
What are the prime factors of 76806494?
2, 269, 367, 389
What are the prime factors of 123565818?
2, 3, 20594303
List the prime factors of 468584304.
2, 3, 983, 9931
What are the prime factors of 1639219538?
2, 11, 59, 1262881
List the prime factors of 7965157567.
257, 30992831
What are the prime factors of 110880870?
2, 3, 5, 1217, 3037
What are the prime factors of 65386985?
5, 83, 157559
List the prime factors of 68777141.
227, 302983
What are the prime factors of 1032109612?
2, 258027403
List the prime factors of 465003797.
465003797
List the prime factors of 268534995.
3, 5, 67, 267199
List the prime factors of 6561400129.
6561400129
List the prime factors of 1707792831.
3, 37, 5128507
What are the prime factors of 70271085?
3, 5, 61, 1259
What are the prime factors of 406037542?
2, 127, 1598573
List the prime factors of 235773291.
3, 13, 47, 293, 439
What are the prime factors of 345297837?
3, 115099279
List the prime factors of 14295848.
2, 7, 36469
List the prime factors of 88283693.
223, 395891
What are the prime factors of 661211539?
661211539
What are the prime factors of 102763190?
2, 5, 1493, 6883
List the prime factors of 247087014.
2, 3, 41181169
List the prime factors of 39120556.
2, 83, 117833
What are the prime factors of 229106321?
2731, 83891
List the prime factors of 7651662.
2, 3, 1275277
What are the prime factors of 977961160?
2, 5, 11, 19, 116981
List the prime factors of 272234414.
2, 136117207
What are the prime factors of 504676041?
3, 37, 4546631
List the prime factors of 373702438.
2, 8263, 22613
List the prime factors of 56850978.
2, 3, 71, 113, 1181
List the prime factors of 16180231.
29, 73, 7643
List the prime factors of 180677704.
2, 22584713
What are the prime factors of 263286755?
5, 2741, 19211
List the prime factors of 40599247.
13, 17, 183707
List the prime factors of 563451060.
2, 3, 5, 17, 552403
What are the prime factors of 4899276545?
5, 71, 443, 31153
List the prime factors of 794267981.
13, 61097537
List the prime factors of 390435222.
2, 3, 79, 823703
List the prime factors of 4343534816.
2, 17, 7984439
What are the prime factors of 148042673?
148042673
What are the prime factors of 1615728222?
2, 3, 9973631
What are the prime factors of 92671355?
5, 7, 449, 5897
List the prime factors of 771509074.
2, 7, 1913, 28807
List the prime factors of 176067251.
176067251
List the prime factors of 3558210.
2, 3, 5, 83, 1429
List the prime factors of 1708197524.
2, 11, 5981, 6491
What are the prime factors of 60083728?
2, 23, 43, 3797
List the prime factors of 504224938.
2, 7, 137, 151, 1741
List the prime factors of 1114983425.
5, 44599
|
{
"pile_set_name": "DM Mathematics"
}
|
ment from wgngnwnnvwngvwvg?
1/56
What is prob of sequence mmhm when four letters picked without replacement from {m: 8, h: 3}?
7/55
Calculate prob of sequence sqh when three letters picked without replacement from qhhsuu.
1/60
Two letters picked without replacement from {l: 5, s: 11}. Give prob of sequence ss.
11/24
Four letters picked without replacement from {x: 2, p: 1, d: 1, j: 1, f: 1, c: 1}. Give prob of sequence fccc.
0
What is prob of sequence yy when two letters picked without replacement from tteteuuittuyiyittee?
1/171
Two letters picked without replacement from aajaaaaaaaaaaaa. What is prob of sequence aj?
1/15
Two letters picked without replacement from {h: 2, i: 2, t: 5}. Give prob of sequence ii.
1/36
Two letters picked without replacement from {r: 2, x: 1, w: 1, g: 2, m: 1, v: 2}. What is prob of sequence wm?
1/72
Four letters picked without replacement from {l: 3, u: 9}. Give prob of sequence ullu.
2/55
Four letters picked without replacement from oouiouo. Give prob of sequence iiou.
0
What is prob of sequence sss when three letters picked without replacement from {s: 7}?
1
What is prob of sequence uz when two letters picked without replacement from {z: 1, u: 3, n: 4, p: 12}?
3/380
Calculate prob of sequence sz when two letters picked without replacement from {z: 4, s: 3, j: 5}.
1/11
What is prob of sequence fhf when three letters picked without replacement from hfhfh?
1/10
Three letters picked without replacement from zahihhzhzazhzehi. Give prob of sequence iez.
1/336
Four letters picked without replacement from kppwfyfykyyqyyyfyywp. What is prob of sequence pqff?
1/6460
Two letters picked without replacement from {q: 2, h: 5, t: 9, f: 2}. What is prob of sequence ft?
1/17
Two letters picked without replacement from qhkhqkkhk. What is prob of sequence hh?
1/12
Calculate prob of sequence emmm when four letters picked without replacement from upuufpmemm.
1/840
Three letters picked without replacement from hht. What is prob of sequence thh?
1/3
What is prob of sequence nkxx when four letters picked without replacement from jkxknjkxnnk?
1/330
Calculate prob of sequence kq when two letters picked without replacement from {k: 1, u: 8, f: 1, c: 2, q: 7}.
7/342
Calculate prob of sequence ltm when three letters picked without replacement from {m: 1, l: 6, t: 7}.
1/52
Three letters picked without replacement from {m: 2, t: 11, v: 1, q: 2}. Give prob of sequence tqq.
11/1680
What is prob of sequence eey when three letters picked without replacement from ccycecceccccececyce?
20/2907
Calculate prob of sequence iii when three letters picked without replacement from {a: 3, i: 4}.
4/35
Calculate prob of sequence ll when two letters picked without replacement from lymmmalpzmmzzzlm.
1/40
Two letters picked without replacement from ppppkkpkpkpccpkc. Give prob of sequence kp.
1/6
What is prob of sequence ele when three letters picked without replacement from ppeleeeeeele?
14/165
Three letters picked without replacement from dgkrxfgx. Give prob of sequence gdx.
1/84
Calculate prob of sequence drkk when four letters picked without replacement from radktqk.
1/420
Two letters picked without replacement from {h: 1, m: 2, l: 1, z: 1, i: 1, y: 1}. What is prob of sequence ih?
1/42
Two letters picked without replacement from xxxgaaaaxaaaagxgan. Give prob of sequence gg.
1/51
Two letters picked without replacement from nuhpfnufnzphpu. Give prob of sequence zf.
1/91
Four letters picked without replacement from {b: 4, o: 3}. Give prob of sequence obob.
3/35
Three letters picked without replacement from hhhmsish. Give prob of sequence ihs.
1/42
Calculate prob of sequence yav when three letters picked without replacement from {i: 1, a: 1, y: 1, m: 1, v: 1}.
1/60
Three letters picked without replacement from exevdxvdedxevveeveee. Give prob of sequence vex.
3/152
Three letters picked without replacement from ommkiagmmaai. Give prob of sequence gok.
1/1320
Calculate prob of sequence fb when two letters picked without replacement from hbssbsbssbssbbfbfbfh.
6/95
Two letters picked without replacement from htp. What is prob of sequence th?
1/6
Two letters picked without replacement from vkvqnnnnnqn. What is prob of sequence nv?
6/55
Calculate prob of sequence pvq when three letters picked without replacement from peqqmpqoqmeqqeqqvq.
1/272
Calculate prob of sequence ooo when three letters picked without replacement from {o: 6, b: 2}.
5/14
What is prob of sequence kaq when three letters picked without replacement from {j: 1, a: 1, k: 1, q: 1, l: 1}?
1/60
Four letters picked without replacement from wwwqqnwqnqwwnwwwwnq. What is prob of sequence nnnw?
5/1938
Three letters picked without replacement from eepepeeppe. What is prob of sequence epp?
1/10
Calculate prob of sequence cxf when three letters picked without replacement from escssssasaxcssfc.
1/1120
Two letters picked without replacement from bebeebebbbj. Give prob of sequence ee.
6/55
Four letters picked without replacement from {v: 2, a: 1, r: 1, k: 1, u: 1, b: 1}. Give prob of sequence ruba.
1/840
Calculate prob of sequence aa when two letters picked without replacement from eeeaeeeeeeea.
1/66
Two letters picked without replacement from legwd. What is prob of sequence gl?
1/20
What is prob of sequence re when two letters picked without replacement from {o: 1, t: 4, s: 1, r: 1, e: 2}?
1/36
Four letters picked without replacement from {l: 2, f: 5}. Give prob of sequence fffl.
1/7
Calculate prob of sequence ggh when three letters picked without replacement from ghhhhhhhghhhh.
1/78
Calculate prob of sequence vpy when three letters picked without replacement from {c: 2, p: 1, v: 11, d: 1, y: 3}.
11/1632
Two letters picked without replacement from {u: 4, k: 10, s: 2}. Give prob of sequence ks.
1/12
Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyyyy.
1
Two letters picked without replacement from {x: 2, d: 2, l: 2, y: 12, z: 1}. Give prob of sequence dx.
2/171
What is prob of sequence qg when two letters picked without replacement from gggqllggggggggglg?
13/272
Calculate prob of sequence gj when two letters picked without replacement from {g: 2, j: 3}.
3/10
Four letters picked without replacement from {x: 4}. What is prob of sequence xxxx?
1
Calculate prob of sequence qg when two letters picked without replacement from {y: 1, g: 1, r: 4, q: 4, c: 1, d: 3}.
2/91
What is prob of sequence ll when two letters picked without replacement from {o: 1, q: 4, l: 5}?
2/9
Calculate prob of sequence yttt when four letters picked without replacement from {t: 5, y: 3}.
3/28
Calculate prob of sequence vqii when four letters picked without replacement from {y: 1, q: 5, p: 2, v: 4, i: 4}.
1/182
What is prob of sequence xk when two letters picked without replacement from {d: 1, s: 1, w: 1, x: 1, k: 1}?
1/20
Three letters picked without replacement from {q: 4, f: 4, s: 3, k: 3}. Give prob of sequence skk.
3/364
Four letters picked without replacement from {f: 1, q: 1, r: 1, o: 6}. Give prob of sequence foro.
5/504
Calculate prob of sequence zfb when three letters picked without replacement from {u: 2, b: 2, t: 3, f: 7, z: 4}.
7/612
Two letters picked without replacement from {x: 3, i: 8, n: 6}. Give prob of sequence nx.
9/136
Calculate prob of sequence dw when two letters picked without replacement from ddwwddddddsdsd.
10/91
Calculate prob of sequence xz when two letters picked without replacement from zzzxxzzxxzzxxxxzxxzz.
5/19
Calculate prob of sequence zzzz when four letters picked without replacement from zzzzz.
1
What is prob of sequence oqvv when four letters picked without replacement from {q: 1, f: 4, v: 5, o: 5}?
5/1638
Four letters picked without replacement from {c: 2, g: 6, x: 7}. What is prob of sequence ccgx?
1/390
Two letters picked without replacement from ofoff. Give prob of sequence of.
3/10
Two letters picked without replacement from {r: 3, y: 3}. Give prob of sequence ry.
3/10
Calculate prob of sequence qqqf when four letters picked without replacement from {q: 6, d: 2, f: 7}.
1/39
What is prob of sequence zb when two letters picked without replacement from {b: 2, z: 1}?
1/3
Four letters picked without replacement from tawatuwttaavact. Give prob of sequence autv.
5/6552
Two
|
{
"pile_set_name": "DM Mathematics"
}
|
et b be a(2). What is the remainder when 11 is divided by j(b)?
2
Suppose 31*t - 684 = -17*t + 10*t. Let x = -6 + 20. Calculate the remainder when t is divided by x.
4
Suppose 14*w - 16*w - 14 = -2*l, 5*w + 11 = 2*l. Calculate the remainder when 68 is divided by (6/7)/(l/(-28)) - -32.
10
Suppose -3*r + 15 = -15. Suppose -10*l = r*l - 540. Suppose x + 4*x = 70. What is the remainder when l is divided by x?
13
Let q be 1 + 141 + (2 - 2). Let n = -105 + q. What is the remainder when n is divided by 16?
5
Let y = 261 + -212. Suppose -39*o + y*o = 1370. What is the remainder when o is divided by (-2)/(-3)*(-564)/(-8)?
43
Let n = 111 - 44. Let x = n + -66. Calculate the remainder when 4 is divided by (2*x)/12 + (-289)/(-102).
1
Let y(z) = 2*z**3 - 15*z**2 + 63*z - 183. What is the remainder when 7479 is divided by y(6)?
84
Suppose 3*u + 3813 = 21*u - 9129. Calculate the remainder when u is divided by 41.
22
Let w be 8/20 + (-1794)/(-15). Calculate the remainder when 91 is divided by w/50*3/((-27)/(-60)).
11
Suppose 0 = -r + 5. Let y(f) = -f**3 - 6*f**2 + 9*f + 10. Let u be y(-5). What is the remainder when r is divided by (u/(-10) - 7) + 10/2?
1
Suppose -40 = 117*a - 109*a. Let t(m) = -3*m**3 - 13*m**2 + 4*m - 16. What is the remainder when t(a) is divided by 1/(((-6)/(-8))/3)?
2
Suppose 3*y - 8*y = 460. Let v = 137 + y. What is the remainder when v is divided by 10*-9*20/(-75)?
21
Suppose r + 24 = 88. Suppose z - r = -z. What is the remainder when z is divided by 214/(-5243) - (-3246)/294?
10
Suppose 0 = 2*v - 4*j - 59886, -44*j - 119746 = -4*v - 49*j. What is the remainder when v is divided by 30?
29
Suppose -1985 = -5*m + 4*s, 2*s + 393 = 4*m - 1189. Calculate the remainder when m is divided by 84.
57
Let q be (-77)/(-44) - (-2)/8. Suppose 0 = -3*o - q*o + 4*j + 1323, 4*o = -4*j + 1044. What is the remainder when o is divided by 10 + (7 - 9) - -16?
23
Let f(t) = 70*t + 1. Suppose -92 = -4*a + 4*r, -3*a = -r - 1909 + 1838. Calculate the remainder when f(1) is divided by a.
23
Let c = 1 + 3. What is the remainder when 20 is divided by (7/35)/(c/260)?
7
Let v = 4926 - 2437. What is the remainder when v is divided by 83?
82
Let l(w) = 1788*w - 5274. Suppose 0 = m - k - 16, 4*m - 3*m = 2*k + 20. What is the remainder when l(3) is divided by m?
6
Suppose 172 - 130 = 3*l. Calculate the remainder when 21/l*38/3 is divided by 1.
0
Suppose -2*z + z = -49. Let i = 58 - z. What is the remainder when 21 is divided by i?
3
Let s = 187 - 307. Let i = 16 - s. Let m(u) = u**3 - 13*u**2 + 3*u + 7. Calculate the remainder when i is divided by m(13).
44
Suppose x = -x - 6, -4*b = -3*x - 177. Let t = b - 20. What is the remainder when 82/4*(3 + -1)*(2 - (0 + 1)) is divided by t?
19
Suppose -3*n - 3*t - 2*t = -64, 5*t + 120 = 5*n. Let p = n + -7. Suppose 0*s - p = -4*s. What is the remainder when 7 is divided by s?
3
Let h be ((-24)/14)/((-6)/21). Suppose 11*w - 35 = h*w. Calculate the remainder when 48*(-2)/8*-2 is divided by w.
3
Let m(q) = 159*q**2 - 5*q + 9. Let n(t) = 159*t**2 - 4*t + 8. Let v(k) = -6*m(k) + 7*n(k). Calculate the remainder when v(-1) is divided by 20.
19
Let p = 1209 + -1200. Suppose p*c - 152 = -35. Let z = -47 + 90. What is the remainder when z is divided by c?
4
Let l = 199 + -34. Suppose -s = 2, a + 2*s = 109 + l. Suppose -4*v + 51 = -3*w - 450, 0 = -2*v - 4*w + a. Calculate the remainder when v is divided by 33.
30
Let a be 1/2 - 63/(-18). Suppose -4*o = -u + 2 - 1, 4*u + 3*o = a. Calculate the remainder when 4*((0 - -2) + -1) is divided by u.
0
Suppose 530*p = 180*p + 94500. Calculate the remainder when 1099 is divided by p.
19
Let w = 36 - 25. Let a = 739 + -677. What is the remainder when a is divided by w?
7
Let r(p) = -p**3 - 5*p**2 - 2*p - 3. Let j be (-3 - -9)*(-2)/2. Let m = -476 + 499. What is the remainder when r(j) is divided by m?
22
Suppose -153 = b - 5*l - 194, b - 37 = 4*l. Calculate the remainder when 345 is divided by b.
9
Let m(c) = c. Let k(f) = -57*f**2 + 29*f**2 + 27*f**2 - 20 + 25*f - 9. Let w(g) = k(g) - 5*m(g). What is the remainder when 65 is divided by w(17)?
21
Suppose t - 2*t = -2. Suppose -2*p = -t*y - 32, 0 = -p - y - 3*y + 31. Let o = 36 - p. What is the remainder when o is divided by 5?
2
Let u = -255 - -31. Suppose -4*o + 64 = 5*z - 41, -o + 5*z = -45. Calculate the remainder when o is divided by u/(-21)*6/4.
14
Let r(y) = -35*y - 148. Let a(p) = -35*p - 150. Let w(k) = -6*a(k) + 7*r(k). What is the remainder when w(-7) is divided by 28?
25
Suppose -3104 = -4*n - 0*n. Suppose -35*t = -31*t - n. Calculate the remainder when t is divided by 66.
62
Let c = -6252 - -6823. Calculate the remainder when c is divided by 69.
19
Let t(c) = 7*c**2 - 3*c - 8 - c**3 - c**3 + 6*c + 3*c**3. Suppose 13*r - 123 = 254. Calculate the remainder when r is divided by t(-6).
9
Let h = -4978 - -4981. Let p = -8 + 12. Suppose 0 = 3*c + 5*b - 48, c - p*c + 3*b = -48. Calculate the remainder when c is divided by h.
1
Suppose -5*z + 673 - 3403 = -26*z. What is the remainder when 462 is divided by z?
72
Let i be (-375)/(-10)*32/3. Suppose 0 = 12*k - 7*k - 5*c - i, -379 = -5*k - 2*c. What is the remainder when k is divided by 28?
21
Let j be (-318)/(-4) - 13/26. Suppose -5 = 78*g - j*g. Calculate the remainder when 146 is divided by g.
1
Let z(s) = -257*s + 202. Calculate the remainder when z(0) is divided by 73.
56
Let h = -1240 - -1465. What is the remainder when h is divided by 19?
16
Suppose 4*t - 105 = -y + 2*y, 4*y = -t - 505. Let k = 127 + y. What is the remainder when (32/(-12))/(k/(-42)) is divided by 19?
18
Let a = -12200 - -12265. What is the remainder when 678 is divided by a?
28
Let h = 29808 + -2089. Calculate the remainder when h is divided by 198.
197
Let q be (-58 - 2)*(-120)/16. Suppose 10*n - q = 4*n. Calculate the remainder when n is divided by 21.
12
Let b be (1 + 1)/(10 - 205/20). Calculate the remainder when b*(-3)/18 + (-43806)/(-126) is divided by 90.
79
Suppose 359*o - 51848 = 38979. Calculate the remainder when 1176 is divided by o.
164
Let l(n) = 2*n**2 - 39*n - 27. What is the remainder when 538 is divided by l(21)?
34
Suppose v + 8*j - 156 = 3*j, 0 = 2*v - j - 323. What is the remainder when v is divided by 157?
4
Suppose 0 = 5*a + 8*a - 39. Suppose b = a*b - 10. Suppose c = -i, 5*i - c = -5*c + b. Calculate the remainder when 13 is divided by i.
3
Let o(c) = -c**3 - 9*c**2 + 33*c - 11. Suppose 0 = 11*k - 10*k - 3. Suppose -z + 7 = k. Calculate the remainder when o(-12) is divided by z.
1
Suppose 2*c - 4*j - 48 = 0, -4*c = -j + 6*j - 31. Suppose m = -c*m + 255. What is the remainder when 406 is divided by m?
15
Suppose 2*s = -3*s + 75. Calculate the remainder when 145/(-3)*(-234)/130 is divided by s.
12
Let b be 194/10 + 105/175. Suppose -18*j + 218 - b = 0. Calculate the remainder when 19 is divided by j.
8
Let r(d) = d**3 - 52*d**2 + 24*d - 364. What is the remainder when r(52) is divided by 112?
100
Suppose 5*d - 2*a - 478 = 587, -3*d - 4*a + 665 = 0. Let r = d - 26. Suppose 2*k = -5*k + r. Calculate the remainder when k is divided by 15.
12
Calculate the remainder when 237 is divided by 17/(51/78) - -3 - 9.
17
Suppose -y + 7*y = -294. Let q = y - -52. Suppose -j - q*j = -3*i + 472, -2*j + 174 = i. What is the remainder when i is divided by 33?
32
Let h(x) = -x**3 - 8*x**2 + 9*x - 5. Let t be h(-9). Let p(u) = u**2 - 5*u + 3. Calculate the remainder when p(t) is divided by 16/(-12) - (-1508)/78.
17
Suppose -6 = 7*l - 10*l. Suppose -104*w - 5*n = -101*w - 50, -2*w + 28 = -l*n. What is the remainder when w is divided by 11?
4
Suppose -3*u - 351*i + 348*i = 354, u + 103 = 2*i. Suppose 327 = 2*z + 59. Let w = u + z. Calculate the remainder when w is divided by 12.
9
Suppose -37*b + 34*b - 21 = 0, 3*b + 19701 = 4*m. Calculate the remainder when m is divided by 9.
6
Suppose 14*z + 96 = 22*z. Let y(g) = -11*g + 157. What is the remainder when 69 is divided by y(z)?
19
Let w = -12998 - -13008. What is the remainder when 788 is divided by w?
8
Let l(q) = -q**3 + 163*q**2 - 348*q + 4208. Let t = -18 + 76. What is the remainder when t is divided by l(161)?
14
Suppose -m = 2*a - 12, 3*m - 2 = 2*a + 2. Let b be (3 + (-14)/a)*-6. Suppose -15 = 5*u, 0 = o - 0*o - b*u - 27. What is the remainder when 87 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
-u*w = -28 + 3 for w.
5
Let q(v) = 7*v + 2*v**3 - 7*v. Let r be q(1). Solve -r*a = -5*a - 6 for a.
-2
Suppose -5*w - m - 11 = 0, -4*m + 2*m - 12 = 5*w. Let r be w/(-4)*(-1 + 3). Suppose -2*i - r = -9. Solve 0 = 3*f - 11 - i for f.
5
Let z(t) = t + 2. Suppose 3*x + 6 = -0*x. Let m be z(x). Solve -q + m - 5 = 0 for q.
-5
Suppose 4*g - 9 = 3. Let o be 1/1*(4 - g). Suppose 2*t + o = m, 0*m = 2*m - 10. Solve 0 = 2*z + t*z - 16 for z.
4
Let d(a) be the first derivative of -a**4/4 - 2*a**3/3 + 2*a**2 + 3*a - 4. Let p be d(-3). Solve 4*z - 4 = -p for z.
1
Let v(j) be the third derivative of j**6/120 + j**5/10 - 3*j**4/8 - 7*j**3/6 + j**2. Let m be v(-7). Solve -2*z = m - 1 for z.
-3
Suppose -3*y - w = -2*y - 10, 0 = 2*y + 3*w - 25. Solve -3*s + y*s - 4 = 0 for s.
2
Let s be (-6)/33 - 588/33. Let m = 2 - s. Solve 2*g = 6*g - m for g.
5
Let x be -2 + -13 - (-4 + 2). Let n = 3 + x. Let y be (-25)/n + (-1)/(-2). Solve 5*h + y + 2 = 0 for h.
-1
Let y be 11/2 - (-4)/8. Solve i = 4*i - y for i.
2
Let o = 3 + 0. Suppose -o = -0*y - y. Solve i - 4*i - y = 0 for i.
-1
Suppose -t + 103 = -122. Let j be (-2)/8 + t/20. Let h(p) = -p**3 + 7*p**2 - 5*p - 2. Let n be h(6). Solve -1 = -n*q + j for q.
3
Let u = -23 + 25. Solve u*d = 4 - 0 for d.
2
Let x(l) = -l + 3. Let m(p) = -8*p + 28. Let n(z) = 3*m(z) - 28*x(z). Let c be n(7). Solve 3 - c = 5*u for u.
-5
Let r(u) = u + 2. Let l be r(5). Let q = l + -4. Solve -3*p + 6 + q = 0 for p.
3
Let p(t) = t**2 - 3*t - t + 12 - 7*t. Let s be p(9). Let v be 1 - 3/(9/s). Solve -v*a - 2*a + 5 = 0 for a.
1
Suppose -2*n = 2*o + 16, -4*n - 14 = -9*o + 4*o. Let l = 4 - n. Solve 0 = 4*h - 2*h - l for h.
5
Suppose 5*b = -2*j + 15, 4*b = -0*j + 3*j - 11. Let v = 11 - j. Solve -v*i + i + 20 = 0 for i.
4
Suppose 5*b - p - 42 - 40 = 0, 4*b + 2*p = 60. Suppose 2*m - 7*m = y - b, 5*y + 4*m - 17 = 0. Solve 9 = -2*j + y for j.
-4
Suppose -2*g - 2 + 6 = 0. Let m = 6 + -4. Solve -g = -m*l - 0*l for l.
1
Suppose 8 = -5*a + 9*a. Let u(m) = m**3 + 6*m**2 + 2*m + 1. Let d be u(-4). Solve a*n - d = 7*n for n.
-5
Suppose -7*s + 3*s + 48 = 0. Let i = -10 + s. Solve 0 = -3*c - 1 - i for c.
-1
Suppose 0 = -3*p + 4*g - 11, -5*p = g - 2 - 18. Solve -15 = -0*c + p*c for c.
-5
Suppose -5*k = -2*k - 36. Solve h + 3*h = -k for h.
-3
Suppose -2*z = 5*s - 39, -2*s = -2*z + 5 - 1. Let f = z + -5. Solve f*b + b = 9 for b.
3
Let q = 29 - 26. Solve -10 - 5 = q*j for j.
-5
Let h = 51 - 45. Let l = 4 + -1. Solve -l = q - h for q.
3
Suppose 2 - 14 = -4*g. Let m be (0/(-7))/(-1 + g). Solve m*o + 4*o = -12 for o.
-3
Suppose 4*i = -3*o + 4*o - 10, o = 2*i + 14. Solve o = 5*j - 2 for j.
4
Let b(v) = v**2 + 3*v - 3. Let m be b(-4). Let f = m - 1. Suppose -4*k - 12 = -2*n, 4*k = -5*n + 2 - f. Solve n*q = 4*q + 10 for q.
-5
Let v(x) = x**2 - 6*x - 5. Let o be v(7). Solve o*n + 0*n = -10 for n.
-5
Suppose -4*t - 2*a + 6 = -t, 2*a - 10 = -5*t. Suppose 0 = -4*j - 5*o + 62, -2*o + 3*o + 63 = 5*j. Suppose 11 = 4*g - j. Solve -t*f - f = -g for f.
2
Let k be 18/27*(-6)/(-1). Let v be 3/4 + (-3)/k. Suppose 3*x + v*x = 0. Solve 3*m - 6 - 3 = x for m.
3
Suppose -2*p + 40 = k + 3*k, 4*p - 2*k - 80 = 0. Suppose -5*d + p = -0*d. Suppose -d*c + 6*c - 2 = -a, 0 = -2*c - 5*a - 6. Solve -c*u + 3 + 1 = 0 for u.
2
Suppose 3*i + 35 = -13. Let g = i - -19. Solve 0 = -g*n + 6*n + 9 for n.
-3
Let z = -9 - -12. Solve -z*l + 8 = l for l.
2
Let d(k) = -k + 6. Let j be d(6). Let s be (2 - -3) + (-2)/2. Suppose -4 = 4*t - 20. Solve t*c - s = -j*c for c.
1
Suppose 12*h - 7*h - 10 = 0. Solve -2*v + h = -0*v for v.
1
Suppose 0*r + 2*d = -3*r - 1, 3*r + 3 = -3*d. Let m be 3 - (-1 - (r - 2)). Let b be (2/2 - 0)*m. Solve b = -5*o - 2 for o.
-1
Let y(r) = -10*r + 2*r**2 + 6 - 4 - 3*r**2 + 13. Let u be y(-11). Solve -u*d = d for d.
0
Suppose 3*s + 27 = 2*q - 0*s, 4*s - 49 = -3*q. Let l = q - 13. Solve -g = -l*g for g.
0
Suppose -5*v + 4 = u, -5*u - 12 = 3*v - 8*u. Solve v = -4*m + m for m.
0
Suppose 2*c - 31 = -5*i, 2*i + 0*c = 5*c + 24. Let u(t) = t**3 + 3*t**2 - 1. Let v be u(-1). Suppose -i + v = -3*o. Solve -6 = -o*d + 5*d for d.
-2
Let g(o) = 2*o**2 - o. Let d be g(-1). Let i be (9 - 1)/((-4)/(-10)). Solve -b - d*b = i for b.
-5
Suppose -4*a = -c + 6*c + 13, -2*a + 5*c - 29 = 0. Let t = 7 + a. Solve -2*r + 8 = -t*r for r.
4
Suppose 2*p - 4*i + 8 = 0, -p + 4*i - 11 = -1. Suppose -p + 26 = 3*o. Solve -7*m - o = -3*m for m.
-2
Suppose -2*a = a. Suppose a*t = 4*t - 8. Suppose p = 2*v, 2*p + t*v = 5*p - 20. Solve -5*g + 0*g = -p for g.
2
Suppose 1 = -5*y - 9. Let o = 9 - 3. Let k be (-2)/y*12/o. Solve 4*q = 2*q + k for q.
1
Let w be 13 + -6 - 6/(0 - -2). Solve 2*p = -0*p + w for p.
2
Let k(l) = l**3 - 7*l**2 - l + 10. Suppose -4*s = -4*n - 36, 3 = -2*s - 2*n + 13. Let x be k(s). Solve x*c + 2*c + 5 = 0 for c.
-1
Let j be (-63)/(-4) + 4/16. Suppose 5*p = -5*b + 40, 7*p - j = -b + 4*p. Solve b - 16 = -3*m for m.
4
Let i = -36 + 42. Let x = -1 + 9. Solve -i*h - x = -2*h for h.
-2
Suppose -9 = -4*v + 15. Let i be (-26)/(-12) + v/(-36). Solve 3*b - 10 = i for b.
4
Let f = -9 + 11. Solve -y + f*y - 1 = 0 for y.
1
Let z = -13 + 19. Suppose 0 = -b - b + z. Solve -b*g - 4 - 2 = 0 for g.
-2
Let m(t) be the third derivative of -1/6*t**3 - 1/12*t**4 + t**2 + 0*t + 0. Let l be m(-8). Solve -3*g + 6*g = l for g.
5
Let q = 45 - 25. Solve q = 3*s + 2*s for s.
4
Let f(i) = -4*i - 2. Let s be f(-2). Solve -c = s - 1 for c.
-5
Let w = 9 - 6. Let h = 6 - w. Solve 0 = h*t - 3 - 0 for t.
1
Let j be 236/(-9) + (-14)/(-63). Let o = -16 - j. Solve 7*s - o = 2*s for s.
2
Let d be (0/2)/((-3)/3). Suppose 5*h = -d*h. Solve 0 = -2*a - h - 10 for a.
-5
Let p(l) = -2*l + 6. Let u be p(3). Solve u = o - 1 - 1 for o.
2
Suppose -i + 3*r = 4*i + 24, -3*i + 3 = 4*r. Let g be 0 + (-2 - (i + 1)). Suppose g = -y + 5 + 15. Solve 6*p = p + y for p.
4
Let m be 1*2 + -1 + 0. Suppose 10*c = 137 + 23. Solve 0 = -5*z - c + m for z.
-3
Suppose 0 = 3*m + m - 3*p - 12, -4*m + 12 = p. Suppose y + 2*b - 9 = -0*b, m*b = -y + 12. Solve 4*x + 1 = y*x for x.
-1
Let g be -1 + (-2 - -11) + -7. Let k be 0/((-4)/(-2) - 3). Suppose k*u - 2*u = 0. Solve 3*l + 13 - g = u for l.
-4
Suppose -s + 3*t = -2 - 0, -s + 3 = -2*t. Suppose -s*v - k = -28, -15 = 3*k - 8*k. Solve -v*b = -b + 4 for b.
-1
Suppose k - 2*j + 30 = 3*k, 0 = -4*k + 4*j + 20. Solve 5*w - 15 - k = 0 for w.
5
Let r(j) = j**2 + 2*j + 2. Let k be r(-2). Suppose -k*o = -0*o. Suppose -u + 1 + 3 = o. Solve 2*i = u*i for i.
0
Let n be 1 - ((-6)/(-3) - 3). Suppose 3*l = -2*l + 4*s + 12, 0 = 2*l + n*s + 6. Suppose -13 = -i + d, -2*i + 7*i + 5*d = 15. Solve -2*z + l = -i for z.
4
Let p(u) = u**3 - 2*u**2 - 3*u + 3. Let o be p(3). Solve -o = 3*c + 3 for c.
-2
Let m be 2 + (-2 - -2) - 2. Suppose l - 4 = -0*l. Suppose 9*p - l*p = 45. Solve -2*g + 1 + p = m for g.
5
Let b(v) = -v**3 - 3*v**2 - 3*v - 2. Let j be b(-2). Suppose -3*h + 11 + 1 = j. Solve -3*x = -19 + h for x.
5
Let f be (-175)/15 - (-2)/(-6). Let s = -7 - f. Solve -s = -3*k + 4 for k.
3
Let o(f) = f**2 - 5*f + 4. Let t be o(4). Suppose -2*b = -t*b - 8. Solve -9 = -b*z + 7 for z.
4
Let w = -116 - -119. Solve w*i - 2 = 4*i for i.
-2
Suppose -4*t = -7 - 1. Solve -d = -2*d - t for d.
-2
Let b be ((-8)/(-6))/(4/6). Solve 14 = 4*d - b for d.
4
Suppose 2*k - 8 = 6. Suppose k = 4*q - 9. Solve 5*b = -16 - q for b.
-4
Let i be -7*(0 - 1)*1. Solve 2*t + 10 = i*t for t.
2
Suppose 0 = 5*i - 4 - 1. Solve i = -2*u + 7 for u.
3
Suppose 4*f = 0, 5 + 7 = 4*y + 4*f. Solve -y*z - z = 4 for z.
-1
Suppose -6*c + 5*c - 9 = -4*y, 3*c + 5*y - 24 = 0. Let r(v) = -37*v + v**3 - 3 + 18*v - 3*v**2 + 20*v. Let q be r(c). Solve h = -q + 5 for h.
5
Suppose -4*t = 3*s + 14, t = 5*t - 5*s - 2. Let f be (0 + 1)*(-6)/t. Suppose -f = 5*k + 4*r - 13, 2*k - 5*r = 37. Solve k = -4*q - 2 for q.
-2
Suppose -4*a + q + 75 = 0, -3*q = -5*a + 2*a + 45. Solve 0*f = 4*f - a for f.
5
Let q(x) = -x**3 - 6*x**2 + 6*x + 5. Let d be q(-7). Let w = d + -10. Suppose w*a = -4 + 14. Solve a*m = -1 - 4 for m.
-1
Suppose 0 = 3*v - 4*v. Solve -q = -v + 3 for q.
-3
Let u = -4 - -8. Solve 5 = u*j + 1 for j.
1
Let h(f) = -f**2 - 7*f. Let n be h(-5). Solve 0 = -6*s + s + n for s.
2
Let l = -61 - -63. Solve -q - 2 = -l*q for q.
2
Let d = 47 - 45. Solve -d*c + 5 + 1 = 0 for c.
3
Let o = -86 - -87. Suppose 3*v = -0*v + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
f?
3
Suppose 5*c - 2*c + 4 = 4*k, -4*k - 4*c = 24. What is the units digit of ((-7)/4)/(k/24)?
1
Let c be 0 + -17 + -2 - -3. Let t = c + 34. What is the units digit of t?
8
Let y = -5 + 7. Suppose y*j = 2*m - 6, -2*j - 5*m = -14 - 8. Suppose -4*i + 13 = j. What is the units digit of i?
3
Let i = 3 + 56. What is the units digit of i?
9
Suppose z - 2*z = 3*a - 123, -3*a = 3*z - 129. Suppose -2*j + a = 3*j. What is the units digit of j?
8
Let z = -80 + 165. What is the tens digit of z?
8
What is the tens digit of (-1 - 0)/(1/(-19))?
1
Let p(i) = -i - 13. Let r be p(-9). Let h = 13 + r. What is the units digit of h?
9
Let v(s) = -s**3 - 5*s**2 + s - 7. Let y(f) = -3*f + 1. Let p be y(2). Let x be v(p). Let g = 25 + x. What is the units digit of g?
3
Suppose -5*w - 44 = -w. Let k = -6 - w. What is the units digit of k?
5
Let w = -61 + 298. What is the units digit of w?
7
Suppose -y = 3*s - 5*s + 88, 271 = -3*y - s. What is the units digit of y/(-12)*(-24)/(-10)?
8
Let m(q) = -q**3 + 3*q**2 + 3*q - 3. Let w be m(3). Let k = 9 - w. What is the units digit of k?
3
What is the units digit of 320/(-15)*(-3)/2?
2
Let i(r) = 3*r**2 + 6*r + 1. Let m be i(-4). Suppose -w = 2*u - 29, -2*u - 4*w = -u - m. What is the tens digit of u?
1
Suppose y - 4 = 4. Let i = -6 + y. What is the units digit of i?
2
Suppose -4*r + r = 51. Let t = r + 28. Suppose b - t = -0*b. What is the tens digit of b?
1
Let z(r) = r**2 - 9*r + 9. Let k be z(8). Let s be k + -1 + (2 - 2). Suppose s = 3*b - 24 - 12. What is the tens digit of b?
1
Suppose 4*c = -0*c + 12. Suppose -129 = -5*i - r, 2*i - 37 = -c*r + 12. What is the tens digit of i?
2
Suppose 0 = -3*l + f + 133, -8 = l + 5*f - 47. What is the tens digit of l?
4
Let x = 29 + -20. Suppose 3*k - x = 9. What is the units digit of k?
6
Suppose 5*s + 12 = 3*s. Let m be 3/(s/4) - -8. What is the tens digit of m/8*(3 - -21)?
1
Suppose -3*d - 10 = 3*x + 2*x, -2*x - 5*d = 23. Let o be (x/(-3))/((-1)/66). Suppose 0 = -4*k + o + 14. What is the units digit of k?
9
Let a be 0/1*(-1 + 0). Suppose a = 5*w - w. Suppose w = 3*v + 2*v - 85. What is the units digit of v?
7
Let d = -34 - -68. What is the units digit of d?
4
Let v = 207 - 78. What is the tens digit of v?
2
Let j(p) = -p**2 + 7*p + 3. Let l be j(7). Suppose 210 = 2*t + l*t. What is the tens digit of t?
4
Suppose 4*a - 8 = 4. Suppose -z = -a*z + 4. What is the units digit of (2/((-4)/z))/(-1)?
1
Let t(h) = -h**2 - 4*h + 8. Let y be t(-5). Suppose -y*x + 4*f + 72 = f, -36 = -2*x - 2*f. What is the units digit of x?
1
Suppose -11 = -3*k + 1. Let d(v) = -2*v + 6. Let l be d(k). What is the units digit of -5*(l - 0/(-1))?
0
Suppose 4*a = -67 + 175. What is the tens digit of a?
2
Let v = -95 + 197. What is the hundreds digit of v?
1
Let l = -323 - -572. What is the units digit of l?
9
Suppose 4*m = 4*r + 40, 5*m + 4*r = -r. What is the units digit of (-2 + 1 - -2) + m?
6
Suppose o = 4, 0 = 5*u - 4*o - 0 + 1. Let c(t) = 27*t - 1. Let b be c(u). Suppose -3*d + 3*n = -n - b, 15 = d + n. What is the units digit of d?
0
Let g(a) = 2*a - 7. Let w be 4/(-6)*21/(-2). What is the units digit of g(w)?
7
Let z be 1/(4*1/20). What is the tens digit of (-861)/(-35) + (-3)/z?
2
Suppose -4*a = 4*k, 2*a = -k + 5*a + 8. Suppose -2*h - 2 = -14. Let w = k + h. What is the units digit of w?
8
Let a(r) = 15*r**3 - 2*r**2 + 2*r - 1. Let z(d) = 3*d + 1. Let k be z(1). Suppose k*x + 0*h - 20 = -4*h, -3*x = -4*h + 13. What is the units digit of a(x)?
4
Let f be 129/(-9) + (-2)/3. Let a = -11 - f. Let j = a + 1. What is the units digit of j?
5
Suppose 0 = -2*c + 4*m + 703 - 87, m + 305 = c. What is the units digit of c?
2
Suppose -5*x + 14 = s, 0*x = 5*x - s - 16. Suppose -x*u - 14 = -2*u - 5*w, 0 = -u - w + 4. What is the units digit of u?
1
Let q = -1 + 0. What is the units digit of (-15)/12*20*q?
5
Let t = -1 - -5. What is the units digit of t?
4
What is the units digit of ((-3)/1)/(-9)*3?
1
Suppose -10 = -0*j + 5*j, -4*f - 4*j = 20. Let z = f + 3. Suppose z = -5*n + 18 + 17. What is the units digit of n?
7
Suppose -2*b = -452 + 160. What is the hundreds digit of b?
1
Suppose -2*o + 7 = 1. Suppose 0 = -o*q - 114 + 324. What is the units digit of q/(-21)*24/(-10)?
8
Let f = 66 - 101. What is the units digit of f*(2 + (-32)/10)?
2
Let r(o) = -o + 2. Let z be r(6). What is the units digit of 12/z + (-41)/(-1)?
8
Suppose 16 + 9 = -5*i, 4*i = 5*m - 1485. What is the hundreds digit of m?
2
Suppose -2*z + y + 757 = 0, 2*z - 3*y = 518 + 233. What is the tens digit of z?
8
Suppose 3*u = 4*z + 60, 3*z + 0*u + 70 = -4*u. Let x = -9 + 35. Let j = x + z. What is the units digit of j?
8
Let k = 490 - 284. What is the tens digit of k?
0
Let a = 6 - -31. Suppose 4*r = 2*r - 3*i + 2, 0 = -3*r + 4*i + a. Let q = r - -8. What is the units digit of q?
5
Suppose 0 = 2*v - 6, -5*v = 3*k - 11 - 4. Suppose -5*t = -k*t. What is the units digit of (-4)/(-2) + (t - -2)?
4
Let b be -3 + (-2 - 1)/(-3). What is the tens digit of b*(1 + (-58)/4)?
2
Suppose 4*w = 6*o - 2*o + 12, 2*o = 3*w - 7. Suppose 3*p = w + 5. Suppose p*j + j = 15. What is the units digit of j?
5
Let u(f) = -f**2 + 6*f - 3. Let q be u(7). Let a = q - -26. What is the tens digit of a?
1
Let k = 155 - 95. Suppose -4*b + 16 + k = -5*a, 0 = b + 5*a - 19. Suppose v = -3*v + 2*f + 76, -v = 5*f - b. What is the tens digit of v?
1
Suppose 5*l + 2*x - 60 = 0, -2*l - 5 = 3*x - 18. Suppose l = -2*f + 44. What is the units digit of f?
5
Let y(r) = -6*r + 2*r**3 - r**3 - r**2 - 10 + 5*r**2 + 3*r**2. What is the tens digit of y(-7)?
3
Let z be (2/5)/(1/5). Suppose z*v + 20 = 5*m, -3*v + 4*m - 6 - 10 = 0. Let b = v + 1. What is the units digit of b?
1
Let z(b) = b**3 - 4*b**2 + b - 5. What is the tens digit of z(5)?
2
Let t(x) = 3*x**2 + 0 - 3 + x + 4. Let o be t(-1). Suppose 2 + o = 5*s. What is the units digit of s?
1
Let j(u) = u**3 - 15*u**2 - u + 32. What is the units digit of j(15)?
7
Let w = 65 + -25. What is the units digit of w?
0
Let c be 7*-1 - (2 + -1). What is the units digit of (-111)/(-12) - (-2)/c?
9
Suppose -2*d - 2 = -6. Suppose d*r - 5*x - 8 = 0, -2*r + 0*x + 40 = 3*x. What is the units digit of r?
4
Let b be 1/(3*(-1)/342). Let k = b + 169. What is the tens digit of k?
5
Let h(z) = -z**2 - 7*z - 4. Let b be h(-5). Let u = 2 + b. Let p = u + -4. What is the units digit of p?
4
Let b be (-6)/(-21) + (-2)/7. Suppose 0 = -b*u - 4*u + 12. Suppose 4*r = g + 72, 36 = -0*r + 2*r + u*g. What is the tens digit of r?
1
Suppose -6*s = -8*s. Let d = s - -1. What is the units digit of d?
1
Let c = 148 - 103. What is the units digit of c?
5
Let j = -4 - -6. Suppose j*z = 9 + 1, 33 = 2*q - 3*z. What is the units digit of q?
4
Suppose -2*g + 188 = 2*g. Let r = -34 + g. What is the tens digit of r?
1
Suppose 3*a - 124 = -f, f = 2*a + 2*f - 82. What is the units digit of a?
2
Let t = 22 - -19. Suppose -2*f = 4*r - 37 - 51, f + 5*r = t. What is the tens digit of f?
4
Suppose 0 = 11*b - 9*b - 6. Suppose g - b*o - 4 = 0, 3*o + 0 = 9. What is the units digit of g?
3
Let v(y) = 6*y**2 - 18*y + 2 + 5*y**3 + y**2 - 4*y**3 + 24*y. What is the units digit of v(-6)?
2
Let a(n) = 19*n + 6. Let l(s) = 3*s + 1. Let y(m) = -6*m - 2. Let x(r) = -14*l(r) - 6*y(r). Let h(d) = 4*a(d) + 14*x(d). What is the tens digit of h(-3)?
2
Suppose 261 = q + 2*i - 6*i, -5*i = 2*q - 574. What is the hundreds digit of q?
2
Suppose -24*m + 20*m = -44. What is the units digit of m?
1
Let v(a) = a**3 + 7*a**2 + 8*a + 2. Let l be v(-6). Let w(o) = o**2 + 4*o. Let f be w(-2). What is the units digit of (-8)/(-5) + f/l?
2
Suppose -12 = -3*h, -42 + 14 = -4*y + h. What is the units digit of y?
8
Suppose 0 = 3*f + f + 216. Let x be 2/(-5) - f/10. Suppose c = x*c - 12. What is the units digit of c?
3
Suppose -r = -3*a + 122, -4*r + 3*a = 43 + 409. Let w be (-1)/(-3) - r/3. Suppose 0*k = 5*k - 3*z - w, -k + 5*z + 25 = 0. What is the units digit of k?
5
Suppose -i - 2*n - 8 = 0, 4*n = -i - 0*i - 18. What is the units digit of i?
2
Suppose -6*b = -3*b - a - 136, 4*b - 5*a = 174. Suppose -s = -w + 9 + b, 3*w = -4*s + 179. Suppose 3*x = -15 + w. What is the units digit of x?
4
Let q = 73 + -39. What is the tens digit of q?
3
Let h = -4 - -13. Suppose -b + h = 3*p - 4, 5*p = 15. What is the units digit of b?
4
Let u = -1 - -5.
|
{
"pile_set_name": "DM Mathematics"
}
|
0?
False
Let o be 12*(-1)/(-5)*(-20)/(-8). Suppose o*j - 639 = -165. Is 11 a factor of j?
False
Let k be (-1 - 3) + (3 - 0). Let q be k + 5 - (-9 - -13). Suppose 3*r = -q*r + 51. Is 9 a factor of r?
False
Suppose -65*o + 192 = -64*o. Suppose -6*d = -0*d - o. Does 3 divide d?
False
Suppose -2*q - 1 = -85. Suppose -5*d + 25 = l - 13, -3*d - q = -3*l. Does 9 divide l?
True
Let t = 11 - 5. Suppose 2*y - t*y = -548. Does 13 divide y?
False
Let s = -7 + 6. Let c(n) = -331*n - 1. Let t be c(s). Suppose 2*r - t = -3*r. Is r a multiple of 22?
True
Let h(i) = i**3 - 11*i**2 + 17*i - 25. Let z be h(10). Suppose 49*j - 88 = z*j. Is j a multiple of 6?
False
Let g(p) = p**2 + 18*p - 217. Is g(-27) a multiple of 13?
True
Let q(v) = 25*v + 2. Let g be q(2). Let x = g - 2. Does 10 divide x?
True
Let r(a) = -740*a - 44. Is 24 a factor of r(-1)?
True
Suppose -4*a = -r - 143, 2*r = -0*r + 10. Does 4 divide a?
False
Let r(j) = -12*j - 20. Is r(-19) a multiple of 8?
True
Let z be (34/(-3))/((-5)/(-15)). Let s = 60 + z. Is 13 a factor of s?
True
Let s be (-15)/20 + 34/(-8). Let b(v) = -v**2 - 4*v. Let m be b(s). Is 2 a factor of (6/m)/(2/(-10))?
True
Is 56 a factor of (-7074)/(-17) + 20/(-170)?
False
Let s be 3 - (2 + -1) - 0. Let d(r) = -3*r**s + 3 - 13*r + 4*r**2 - 13. Is d(15) a multiple of 5?
True
Let c = 502 + -179. Does 19 divide c?
True
Suppose -2*n + 22 = -2*r - 16, -39 = 2*r - n. Let b be (-134)/10*r/4. Let l = b + -38. Is l a multiple of 29?
True
Let p be 5*(532/(-20) - 4). Suppose -4*f + 2*z - 166 = z, -5*f - 212 = z. Let c = f - p. Does 25 divide c?
False
Let q = -58 + 85. Does 4 divide q?
False
Let x = -378 + 557. Let q = -120 + x. Is q a multiple of 7?
False
Let c(t) = -13*t**2 + 6*t - 3. Let w(u) = u**2. Let s(o) = -c(o) + 6*w(o). Suppose 3*x + 0*m - m - 8 = 0, 0 = -5*x + m + 12. Is 9 a factor of s(x)?
False
Let a be 12/9*-3 - -8. Suppose a*s - 471 = 89. Does 30 divide s?
False
Suppose 3*g = 5*a - 482, 5*a + 3*g - 2*g - 466 = 0. Let j = -65 + a. Is 21 a factor of j?
False
Let m = 258 - 104. Suppose -1061 = -9*j + m. Is j a multiple of 9?
True
Suppose 5*u = -3*k + 3433, -4*k + 32*u = 29*u - 4587. Is 25 a factor of k?
False
Let u = -22 - -18. Let y be (480/(-16))/(u/6). Suppose i + y = 2*i. Is i a multiple of 9?
True
Suppose -2*z = -3*z + 2. Let u(j) = 2*j - 3*j - 17 + 19*j**2 + 21. Is 39 a factor of u(z)?
True
Suppose -6*u - 44 = -2*u - 2*o, -3*o - 12 = 0. Let t(y) = -y**3 + 3*y**2 + 3*y + 3. Let d be t(4). Is d*(-2 - -3)*u a multiple of 13?
True
Let k(z) = z**2 + z. Suppose -20 = -16*a + 21*a. Let r = a - -9. Does 8 divide k(r)?
False
Let l = -95 + 97. Suppose l*s - 54 = -u + 90, 4*u = -2*s + 594. Is 15 a factor of u?
True
Suppose -365 = -4*i + 3*k, 407 - 39 = 4*i - 4*k. Is i a multiple of 9?
False
Suppose 1675 = 16*y - 11381. Is y a multiple of 16?
True
Let h(j) = -j**3 - j**2 - 4*j - 6. Let t be h(-4). Let l = t + -2. Is l a multiple of 28?
True
Let r = 7 + 10. Suppose 8*b + 3*b = 308. Let v = r + b. Is v a multiple of 14?
False
Suppose 0 = -13*r + 19899 - 919. Does 119 divide r?
False
Let g = 1182 + -637. Does 12 divide g?
False
Suppose 5*l - 5981 = 7*f - 8*f, 0 = 4*l + 3*f - 4787. Does 13 divide l?
True
Is 768*(40/(-8) + 6) a multiple of 6?
True
Suppose -w - 16*w = 1870. Let a(q) = -4*q**2 - q - 4. Let u be a(-3). Let f = u - w. Does 15 divide f?
False
Let w(n) = 5*n. Let j be w(1). Suppose -2*r + r - 63 = 3*b, -j*r + 3*b = 315. Is 8 a factor of r/(-4) + 6/24?
True
Let g = 470 + 1069. Is 57 a factor of g?
True
Suppose -34*d = -38*d + 18840. Is 15 a factor of d?
True
Let g be ((-6)/4)/(9/(-24)). Is 293/g - (-51)/68 a multiple of 19?
False
Let m(s) = -9*s**3 + 2*s**2 - 6*s + 5. Let b(t) = -t**3 + t. Let k(w) = -2*b(w) - m(w). Is 13 a factor of k(3)?
True
Suppose 2*r = b - 150, -156 = -3*b - 5*r + 283. Is b a multiple of 28?
False
Suppose -24 = -m - 6. Suppose 15*p - m*p = -99. Does 9 divide p?
False
Let f = 21 + -21. Is (-245 - f)*(-6)/15 a multiple of 14?
True
Suppose 2*s + 3*b = -12, -4*s + 20 = b - 6*b. Suppose i - 19 = -s*i. Suppose -i = -d + 8. Is 9 a factor of d?
True
Let r(o) be the third derivative of -o**5/60 - 17*o**4/24 - 23*o**3/6 - 26*o**2. Is r(-12) a multiple of 11?
False
Let b(x) = x + 5. Let y be b(-1). Suppose -y*g + 3*l - 1 = -345, 5*g + 3*l = 403. Does 15 divide g?
False
Let g(t) = 243*t - 11. Let m be (-3)/((0 - 3)*1). Does 9 divide g(m)?
False
Suppose -3*p = -2*q + 159, 0 = 3*p + 5*q - 0*q + 138. Let v = 91 + p. Does 20 divide v?
True
Suppose -4*i + 410 = 3*b, -i - 3*i = b - 142. Let l = b - 95. Suppose 4*x - 353 - l = 0. Is x a multiple of 28?
False
Suppose -155 = -4*c + 2*j + 383, 5*c = 4*j + 668. Let z = c - 47. Does 18 divide z?
False
Let u(z) = -2*z**2 - 3*z. Let j be u(-4). Let w be 2 - (20 - -2)/2. Let i = w - j. Does 5 divide i?
False
Suppose -14 = -v - 31. Does 51 divide (v/2)/((-30)/1440)?
True
Suppose -24*t = -21*t - 2466. Does 87 divide t?
False
Suppose 17*i - 2881 = 1199. Is 12 a factor of i?
True
Let x(s) = -1. Let r(a) = -a - 5. Let y(t) = r(t) + x(t). Let w be y(-2). Let q(i) = -i - 2. Is 2 a factor of q(w)?
True
Let s be ((-7)/(-2))/(3/18). Let q = 26 - s. Suppose -q*b + 609 = 149. Does 24 divide b?
False
Let p(k) = 2*k**2 + 7*k. Let h be p(-4). Suppose -h*u + 15 = -u. Suppose u*c = -3*t + 144, 3*c = -4*t + 4*c + 192. Does 8 divide t?
True
Is 121 a factor of (1 + (-828)/(-8))/((-5)/(-110))?
True
Let x = -1398 - -1819. Is 20 a factor of x?
False
Suppose 3*f = 174 + 483. Is 6 a factor of f?
False
Suppose 4*x + 3*q - 3 = x, 5*x + 4*q = 0. Let b(d) = -29*d - 2. Let z be b(x). Suppose -6*p + 4*p = -z. Is 21 a factor of p?
False
Suppose 25 - 286 = -k - 3*g, k = -g + 267. Suppose -11*i - k = -2316. Is i a multiple of 31?
True
Does 34 divide 1*-412*(-6 - 90/(-20))?
False
Let s = 136 - 69. Suppose -s = -4*i + 3*b, 2*i - 5*b = 4*i - 27. Let z = i + 10. Is 13 a factor of z?
True
Suppose 8*b - 2*a = 3*b + 1530, 0 = -5*a. Suppose 7*y - b = 65. Is 13 a factor of y?
False
Let m(r) = -r**2 - 13*r - 6. Let d be m(-13). Let b be (d/(-12))/(1/(-192)). Let k = b + 202. Does 31 divide k?
False
Let h(d) = 34*d**3 + 5*d**2 + d. Is h(3) a multiple of 69?
True
Let j = 25 + -23. Let o = j - -22. Is 5 a factor of o?
False
Let p = -47 + 34. Let b = -28 - p. Does 15 divide -8*3*b/6?
True
Suppose -k + 13 = -5*m, k + 2*m = -k - 10. Let h be k/(-2 + (-21)/(-10)). Let c = 2 - h. Is 11 a factor of c?
True
Let d = 5396 - 3762. Is 12 a factor of d?
False
Let n = 94 - -1768. Is 19 a factor of n?
True
Is ((-11)/(11/(-1)))/(1/86) even?
True
Suppose 3500 = -40*p + 44*p. Is p a multiple of 7?
True
Suppose -4*q - 5*g + 825 = 0, 0 = 4*q + q + 5*g - 1030. Suppose 0 = -2*y - 5*w - 115, 0*y - 4*y - 5*w - q = 0. Let d = 32 - y. Is 24 a factor of d?
False
Let d(f) = 3*f**2 + 17*f - 16. Let k be d(-13). Suppose -2*v = v - k. Is 17 a factor of 4520/v - (-4)/(-18)?
False
Suppose -2*n - 5*u = 19, -3*n - n + 2*u + 22 = 0. Suppose n*v = a + 107, 5*v - 88 - 57 = -5*a. Is 8 a factor of v?
False
Let k(v) = v. Let i be k(-4). Let h(a) be the third derivative of -3*a**4/4 - 5*a**3/2 + 606*a**2. Does 30 divide h(i)?
False
Let u = -144 - -243. Does 12 divide 8991/u + 4/22?
False
Is -183*(-26)/(-18)*-6 a multiple of 13?
True
Let o = 166 + -164. Suppose -51 = -4*k + 181. Suppose -i + k = 3*m - o, -m = -4. Is 16 a factor of i?
True
Let n = 2 - 23. Let s = -21 - n. Suppose 2*b - 7*b + 165 = s. Does 11 divide b?
True
Does 25 divide (-1)/(-5) + (-16966)/(-170)?
True
Let f = -43 + 25. Let b be (-2)/((-2)/(-3)) + (43 - 1). Let g = b + f. Is g a multiple of 7?
True
Suppose 6*q = 4*q + 2*j + 790, -2*q = j - 793. Is q a multiple of 12?
True
Suppose 9*d - 17 = -53. Is 19 a factor of 2/d*(-104 - 2)*1?
False
Let o = -1502 - -2108. Is o a multiple of 27?
False
Let c(j) = -2*j + 2. Let o be c(-2). Let b(g) = -130 + g**2 + 64 - g + 61. Is 16 a factor of b(o)?
False
Let d(r) = -r**2 + 21*r - 17. Let p = -19 - -27. Let c be (3 + -4 + 3)*p. Is d(c) a multiple of 9?
True
Suppose 0 = -5*f + 3*m + 396, -2*f - 5*m + 42 = -135. Suppose 82*h - f*h - 46 = 0. Is 41 a factor of h?
False
Let n = -3 - 0. Let y(p) be the first derivative of -p**4/4 - p**3 - p**2 + 4*p + 35. Does 5 divide y(n)?
True
Let o(x) = 58*x**2 + 4*x + 2. Let i(y) = -y**2 + y. Let r(l) = -3*i(l) + o(l). Let j be r(-1). Let a
|
{
"pile_set_name": "DM Mathematics"
}
|
ed to the nearest 100000?
673200000
What is -8.7267134 rounded to 2 dps?
-8.73
Round -17.4222166 to one dp.
-17.4
Round -0.0011617322 to five dps.
-0.00116
Round -0.004168511 to three dps.
-0.004
Round 986.35156 to the nearest 100.
1000
What is 0.609967281 rounded to four decimal places?
0.61
Round 0.00157752264 to seven decimal places.
0.0015775
Round 0.1430652415 to five dps.
0.14307
What is -23.57717753 rounded to the nearest integer?
-24
Round 13.128255374 to two dps.
13.13
Round 24064576.56 to the nearest 1000000.
24000000
Round -7.14816981 to the nearest integer.
-7
Round -0.00936542148 to three decimal places.
-0.009
Round 0.00715078239 to seven dps.
0.0071508
Round 457008.27 to the nearest one hundred thousand.
500000
What is -0.002387016213 rounded to seven dps?
-0.002387
Round -0.006552867 to 3 dps.
-0.007
Round 22942833.1 to the nearest one million.
23000000
Round -0.17839455064 to 5 decimal places.
-0.17839
What is -0.0066755139 rounded to four decimal places?
-0.0067
Round 401941.58 to the nearest one thousand.
402000
Round -401308.08 to the nearest ten thousand.
-400000
What is 38893744500 rounded to the nearest 1000000?
38894000000
Round 1.6040555878 to 3 decimal places.
1.604
Round -228.67040071 to one dp.
-228.7
What is 142461.964 rounded to the nearest one hundred?
142500
Round -0.00017128086 to 6 decimal places.
-0.000171
Round -670.614937 to the nearest one hundred.
-700
Round -1.548988797 to 1 decimal place.
-1.5
What is 0.1231702 rounded to 2 decimal places?
0.12
What is -3.0323743 rounded to three dps?
-3.032
Round 0.0001095520482 to five decimal places.
0.00011
Round -3.95511 to zero dps.
-4
What is -58.090173 rounded to two decimal places?
-58.09
Round -198360.1657 to the nearest ten thousand.
-200000
Round 0.401219793 to five decimal places.
0.40122
Round 48476944 to the nearest 100000.
48500000
Round 99157199.38 to the nearest ten thousand.
99160000
What is 2.337519276 rounded to 4 dps?
2.3375
Round -9388.41933 to one decimal place.
-9388.4
Round 0.0000000785117789 to 7 dps.
0.0000001
Round 117355.0072 to the nearest 100.
117400
Round -25924.0693 to the nearest ten.
-25920
Round -690444.353 to the nearest one million.
-1000000
Round 291.340532 to 1 decimal place.
291.3
What is -0.0001550408374 rounded to 6 decimal places?
-0.000155
Round -0.00163282017 to 5 dps.
-0.00163
What is -0.00053987365 rounded to four dps?
-0.0005
Round -0.00027727399 to four decimal places.
-0.0003
Round 444674.646 to the nearest 100.
444700
Round 34.5742831 to the nearest ten.
30
Round -2300.60973 to zero decimal places.
-2301
Round 153985.39218 to the nearest integer.
153985
What is 0.00003058874943 rounded to six dps?
0.000031
What is 0.0000001256075214 rounded to 7 decimal places?
0.0000001
What is 84.31723691 rounded to three dps?
84.317
What is 0.01437928611 rounded to 5 dps?
0.01438
Round 30.50051772 to the nearest 10.
30
Round -11064.5405 to the nearest ten.
-11060
Round -7252.80941 to the nearest 10.
-7250
What is 9.59705251 rounded to the nearest 10?
10
What is 197.9856933 rounded to 3 dps?
197.986
What is 0.329140827 rounded to five decimal places?
0.32914
Round -0.006346811 to three dps.
-0.006
Round -3176708.08 to the nearest one hundred thousand.
-3200000
What is -5750.14821 rounded to the nearest one hundred?
-5800
Round -895.17315 to the nearest integer.
-895
Round -0.0000053927492 to six decimal places.
-0.000005
What is 8560.198192 rounded to the nearest one hundred?
8600
Round 0.0906287017 to 2 decimal places.
0.09
Round -388628.093 to the nearest 1000.
-389000
What is -0.00001714092 rounded to six dps?
-0.000017
What is -14319.3062 rounded to the nearest ten thousand?
-10000
Round -0.0667654087 to 4 dps.
-0.0668
What is -0.00000708851489 rounded to seven decimal places?
-0.0000071
Round 104778.1104 to the nearest 100.
104800
Round -0.50293012 to 3 dps.
-0.503
What is -5.6247538 rounded to two dps?
-5.62
Round 2003053.345 to the nearest 10.
2003050
What is 14.10432382 rounded to zero dps?
14
What is -0.231569966 rounded to 2 dps?
-0.23
What is -17409829 rounded to the nearest 1000000?
-17000000
Round -0.000046326833 to 7 dps.
-0.0000463
What is -0.0639698 rounded to three decimal places?
-0.064
Round -0.0000048288099 to seven dps.
-0.0000048
What is 0.000024002993 rounded to 5 decimal places?
0.00002
What is -58.3529371 rounded to 3 decimal places?
-58.353
What is 4624.88276 rounded to the nearest one hundred?
4600
What is -1.48561716 rounded to 3 decimal places?
-1.486
Round -0.000005791152 to 6 decimal places.
-0.000006
Round -313.034083 to 1 decimal place.
-313
Round 8.77022422 to 0 decimal places.
9
Round -29677.77964 to the nearest integer.
-29678
Round 0.00000589677058 to 7 dps.
0.0000059
What is 0.000470846389 rounded to 6 dps?
0.000471
What is -3641.25902 rounded to the nearest 10?
-3640
Round -5258.39745 to the nearest 1000.
-5000
What is -5.378279 rounded to 2 dps?
-5.38
What is 627142.405 rounded to the nearest 100?
627100
What is 499893.064 rounded to the nearest 100000?
500000
What is 487957942 rounded to the nearest 10000?
487960000
Round 36913.632 to the nearest 10.
36910
Round -5029.115 to 0 dps.
-5029
Round 32634.1748 to the nearest ten thousand.
30000
Round 76915.0387 to the nearest one hundred.
76900
What is 0.069016968 rounded to four decimal places?
0.069
Round -0.25675211 to 2 decimal places.
-0.26
What is 0.0001800037986 rounded to five decimal places?
0.00018
Round -0.00023325123 to 6 dps.
-0.000233
Round 716.83005 to the nearest one hundred.
700
Round 8399034.33 to the nearest 10000.
8400000
What is 19148.20355 rounded to the nearest ten?
19150
What is 0.0002471716564 rounded to 5 decimal places?
0.00025
What is -189.1894054 rounded to the nearest ten?
-190
What is 1.00228638 rounded to one decimal place?
1
What is -0.155764335 rounded to three decimal places?
-0.156
Round 0.00043289387 to five decimal places.
0.00043
What is -1082828.8079 rounded to the nearest ten thousand?
-1080000
What is -0.0000432714921 rounded to 5 decimal places?
-0.00004
What is 0.00470533153 rounded to five dps?
0.00471
Round 1100.4358 to the nearest one hundred.
1100
What is -0.1104659594 rounded to 5 decimal places?
-0.11047
Round -16442.32337 to the nearest ten.
-16440
Round -327437571.47 to the nearest 1000.
-327438000
Round -2156.66664 to the nearest 1000.
-2000
Round -0.008763183207 to five dps.
-0.00876
Round -0.01005723527 to 5 dps.
-0.01006
What is -549.766346 rounded to the nearest 100?
-500
What is -646147000 rounded to the nearest 1000000?
-646000000
Round 2460897.9 to the nearest one hundred.
2460900
Round -12.8280088 to 1 dp.
-12.8
Round 0.02201738769 to three dps.
0.022
What is 8.3204921 rounded to the nearest integer?
8
Round 24020886431 to the nearest one hundred thousand.
24020900000
What is -8813.538579 rounded to 1 decimal place?
-8813.5
What is -0.0000766005835 rounded to 6 dps?
-0.000077
Round 19278758 to the nearest one million.
19000000
What is -1.22309763 rounded to three decimal places?
-1.223
What is 79442355 rounded to the nearest ten thousand?
79440000
What is 1422.65708 rounded to the nearest ten?
1420
What is 1917.58588 rounded to the nearest one thousand?
2000
What is -0.0069586953 rounded to 6 dps?
-0.006959
Round -5024530870 to the nearest one million.
-5025000000
Round -0.000453246839 to 5 decimal places.
-0.00045
Round -4325.77922 to the nearest one hundred.
-4300
Round -6085568.5 to the nearest ten thousand.
-6090000
What is 0.00137326586 rounded to 5 dps?
0.00137
What is -765087.546 rounded to the nearest ten thousand?
-770000
What is 27875190 rounded to the nearest one million?
28000000
What is 16339.2459 rounded to the nearest one hundred?
16300
Round 17935574.06 to the nearest one hundred thousand.
17900000
Round 198996.6096 to the nearest 1000.
199000
What is 6324522.568 rounded to the nearest 1000?
6325000
What is -0.000011921433 rounded to 7 decimal places?
-0.0000119
What is -0.12871626 rounded to two decimal places?
-0.13
What is 0.46694141 rounded to one dp?
0.5
Round -1.88850436 to two decimal places.
-1.89
What is 0.00452283069 rounded to 4 decimal places?
0.0045
Round -5694.9879 to the nearest one hundred.
-5700
Round 0.03374965885 to six decimal places.
0.03375
Round
|
{
"pile_set_name": "DM Mathematics"
}
|
und -239.73 to the nearest ten.
-240
Round 573090 to the nearest one thousand.
573000
What is -40782 rounded to the nearest 100?
-40800
Round -1.95 to 1 decimal place.
-2
What is -0.000028017 rounded to five dps?
-0.00003
What is 0.0001183 rounded to 5 dps?
0.00012
What is -0.0007193 rounded to five dps?
-0.00072
What is -153400 rounded to the nearest ten thousand?
-150000
What is 0.00000215 rounded to six decimal places?
0.000002
What is 0.000022425 rounded to 5 decimal places?
0.00002
Round -0.00122622 to four decimal places.
-0.0012
Round -527260 to the nearest ten thousand.
-530000
Round -0.0000157281 to 7 dps.
-0.0000157
Round -24900 to the nearest 1000.
-25000
What is -0.0043825 rounded to three decimal places?
-0.004
What is 910500 rounded to the nearest ten thousand?
910000
What is 0.18589 rounded to three decimal places?
0.186
What is 0.0000051413 rounded to six dps?
0.000005
What is 293.1 rounded to the nearest ten?
290
What is -4300 rounded to the nearest 100000?
0
Round 0.00000841 to 6 decimal places.
0.000008
What is -0.0002705 rounded to five decimal places?
-0.00027
What is 752000 rounded to the nearest 1000000?
1000000
Round -0.010052 to three dps.
-0.01
What is -272040000 rounded to the nearest one million?
-272000000
Round -0.1016 to two dps.
-0.1
What is -0.00086714 rounded to 4 decimal places?
-0.0009
What is -87.92 rounded to the nearest integer?
-88
What is 0.00063791 rounded to 4 decimal places?
0.0006
Round -764000 to the nearest one million.
-1000000
What is 0.000004598 rounded to 6 decimal places?
0.000005
What is -0.0873 rounded to one decimal place?
-0.1
What is 0.001547 rounded to 4 dps?
0.0015
Round -0.005127 to three decimal places.
-0.005
Round 0.495 to two decimal places.
0.5
Round 0.00021998 to six decimal places.
0.00022
What is 0.0000342035 rounded to five decimal places?
0.00003
What is -0.12188 rounded to two dps?
-0.12
What is -6761900 rounded to the nearest 10000?
-6760000
Round -296.13 to zero decimal places.
-296
Round 4000 to the nearest one hundred thousand.
0
What is -8662.3 rounded to the nearest one hundred?
-8700
What is 0.01869 rounded to four dps?
0.0187
What is 0.0002161 rounded to five decimal places?
0.00022
What is -0.00002379 rounded to six dps?
-0.000024
Round -367230 to the nearest ten thousand.
-370000
What is 30709000 rounded to the nearest 1000000?
31000000
Round -91120000 to the nearest one million.
-91000000
Round -0.29345 to two dps.
-0.29
Round -0.00000058866 to 7 dps.
-0.0000006
Round 68.4 to the nearest integer.
68
Round -613700 to the nearest one hundred thousand.
-600000
What is 0.7122 rounded to one dp?
0.7
What is 0.40849 rounded to two dps?
0.41
What is -53.29 rounded to the nearest 10?
-50
What is -416 rounded to the nearest ten?
-420
Round -0.000020647 to 6 decimal places.
-0.000021
What is -438010 rounded to the nearest 10000?
-440000
What is -0.00164 rounded to 3 decimal places?
-0.002
Round 0.00671 to three dps.
0.007
What is 0.0000082 rounded to five dps?
0.00001
What is -0.028549 rounded to 3 dps?
-0.029
Round -1336.6 to the nearest 10.
-1340
What is 0.0847 rounded to 2 dps?
0.08
What is -0.000120437 rounded to five decimal places?
-0.00012
Round -0.01327 to 3 dps.
-0.013
What is 886 rounded to the nearest 10?
890
Round 0.0007677 to four decimal places.
0.0008
What is 43.1 rounded to the nearest 10?
40
What is 0.000057567 rounded to 6 decimal places?
0.000058
What is 2347.7 rounded to the nearest one hundred?
2300
Round 574.2 to the nearest one hundred.
600
What is -8.4722 rounded to 1 dp?
-8.5
Round -0.0001135 to 5 dps.
-0.00011
Round -1.314 to 2 dps.
-1.31
Round -0.00014214 to 6 decimal places.
-0.000142
What is 622000 rounded to the nearest one hundred thousand?
600000
What is 0.5111 rounded to the nearest integer?
1
What is 718.954 rounded to the nearest 100?
700
Round 0.000009717 to seven decimal places.
0.0000097
Round -7.11 to the nearest 10.
-10
What is 412620 rounded to the nearest one hundred thousand?
400000
What is -40340 rounded to the nearest 10000?
-40000
Round 5102 to the nearest 100.
5100
What is 563.3 rounded to the nearest one thousand?
1000
What is -0.00069257 rounded to 5 decimal places?
-0.00069
What is 21129 rounded to the nearest 100?
21100
Round -7095000 to the nearest 100000.
-7100000
Round -0.001652 to 4 dps.
-0.0017
What is 181090000 rounded to the nearest 1000000?
181000000
What is 6545.9 rounded to the nearest ten?
6550
What is -22894000 rounded to the nearest 1000000?
-23000000
Round 85000 to the nearest 10000.
90000
What is 0.0001468 rounded to 5 dps?
0.00015
Round 0.060827 to 4 decimal places.
0.0608
What is 0.025188 rounded to 3 decimal places?
0.025
Round -0.00029916 to 5 dps.
-0.0003
Round -8180000 to the nearest one hundred thousand.
-8200000
What is 7980000 rounded to the nearest one million?
8000000
Round 0.000004009 to 7 decimal places.
0.000004
Round 0.0003589 to five decimal places.
0.00036
Round 0.0019291 to five decimal places.
0.00193
Round 2.305 to one decimal place.
2.3
What is -462.9 rounded to the nearest 10?
-460
What is -0.03472 rounded to 3 dps?
-0.035
What is -346500 rounded to the nearest ten thousand?
-350000
What is -16367 rounded to the nearest 1000?
-16000
Round 164830000 to the nearest one million.
165000000
What is -0.0000021006 rounded to 7 decimal places?
-0.0000021
Round 338100000 to the nearest one million.
338000000
What is -52600 rounded to the nearest one hundred thousand?
-100000
Round -0.0000010056 to 7 decimal places.
-0.000001
Round 203600 to the nearest ten thousand.
200000
Round -5092100 to the nearest ten thousand.
-5090000
What is 103.545 rounded to the nearest 10?
100
Round 0.5088 to 1 dp.
0.5
Round -88111 to the nearest one hundred.
-88100
What is -29809 rounded to the nearest 1000?
-30000
Round -0.000004348 to 6 decimal places.
-0.000004
What is -14820000 rounded to the nearest one hundred thousand?
-14800000
What is -0.00009 rounded to four dps?
-0.0001
Round -237.4 to the nearest ten.
-240
What is 0.10927 rounded to 3 decimal places?
0.109
Round -180000 to the nearest one million.
0
Round -87 to the nearest 100.
-100
Round -38.82 to the nearest integer.
-39
Round 188.04 to the nearest 10.
190
What is 99.24 rounded to the nearest ten?
100
What is 0.00012758 rounded to 6 dps?
0.000128
Round -0.09004 to 2 decimal places.
-0.09
What is 1.56776 rounded to one dp?
1.6
What is -351860 rounded to the nearest ten thousand?
-350000
What is 0.000003112 rounded to 7 dps?
0.0000031
Round -0.0129479 to 4 decimal places.
-0.0129
What is -31250000 rounded to the nearest one million?
-31000000
What is -15658 rounded to the nearest 100?
-15700
What is 6015000 rounded to the nearest one million?
6000000
Round 268300000 to the nearest one million.
268000000
Round -0.0000088642 to 6 dps.
-0.000009
Round 74.65 to zero dps.
75
What is -2017 rounded to the nearest one hundred?
-2000
Round -3.404 to one decimal place.
-3.4
Round 20157 to the nearest 10000.
20000
What is 7255 rounded to the nearest one thousand?
7000
What is 458.62 rounded to the nearest 10?
460
What is -13.614 rounded to 1 decimal place?
-13.6
Round -2521700 to the nearest 10000.
-2520000
What is -0.00000915 rounded to seven dps?
-0.0000092
What is -0.0000000663 rounded to 7 decimal places?
-0.0000001
Round 39330000 to the nearest one million.
39000000
What is -70.424 rounded to 0 dps?
-70
Round -8626300 to the nearest 100000.
-8600000
Round 112.54 to the nearest 10.
110
Round -220.04 to the nearest one hundred.
-200
What is 48400000 rounded to the nearest one million?
48000000
What is -0.027923 rounded to two decimal places?
-0.03
Round -0.7394 to 1 decimal place.
-0.7
What is -20892 rounded to the nearest 10000?
-20000
What is 2570.3 rounded to the nearest 100?
2600
Round -6010000 to the nearest 100000.
-6000000
What is -0.002758 rounded to 3 dps?
-0.003
Round 0.00002 to six dps.
0.00002
Round -0.0000213481 to five decimal places.
-0.00002
What is -3.704 rounded to 0 decimal places?
-4
What is 0.0000015532 rounded to seven decimal places?
0.0000016
What is 24.45 rounded to the nearest integer?
24
Round 61.338 to the nearest 10.
60
Round -17.5113 to one decimal place.
-17.5
Round 774000 to the nearest 100000.
800000
Round -0.00010297 to 5 d
|
{
"pile_set_name": "DM Mathematics"
}
|
q = 15.9 - -1.1. Let f = 91631.0022 + -91614. Let h = f - q. Round h to three dps.
0.002
Suppose 47824 = 4*i + 4*o, 4*o - o = -5*i + 59784. Suppose 3258 - i = h. Round h to the nearest one thousand.
-9000
Let b(j) = 57*j**3 + 10*j**2 - 6*j + 1. Let s be b(11). Suppose -5*w = 3*u - s, u - 1249 - 14155 = -w. What is w rounded to the nearest one thousand?
15000
Let q be (-1)/2 + (-66)/(-12). Suppose -5*o = -2*h + 3*h - 160, -5*h = -q*o + 130. Round o to the nearest ten.
30
Let h = 2.4 + -2.40095. Round h to four dps.
-0.001
Let b = 39 - 38.9999942. What is b rounded to six decimal places?
0.000006
Let b(l) = -l**2 + 9*l - 4. Let x be b(8). Suppose -5*r + 4*r + x*a = 0, -r = -a. Suppose 5*z - 35230 - 54770 = r. Round z to the nearest 10000.
20000
Let b = 9 - 5. Suppose -1999999 = -4*v - 0*d + d, b*v + 4*d - 2000004 = 0. Round v to the nearest 100000.
500000
Suppose -3*g - 11 = -8. What is g rounded to the nearest 10?
0
Suppose 4*k - 8 = 5*k. Let x be (-2)/k + (-39)/(-4). Let l be x/4*-1010*-40. What is l rounded to the nearest ten thousand?
100000
Let q = -172 - -171.999731. What is q rounded to 5 decimal places?
-0.00027
Let p = -12 - -6.9. Let h = p + 5.0999958. Round h to 6 decimal places.
-0.000004
Let n = -0.67 + 0.1. Let c = 13 + -12.4. Let k = c + n. Round k to 1 decimal place.
0
Let o = 5 - 5.12. Let i = o - -0.1200017. What is i rounded to six dps?
0.000002
Let t = -77 - -77.063. What is t rounded to two decimal places?
0.06
Let r = -99 + 99.0000082. Round r to 5 dps.
0.00001
Let j = -0.082 - -0.228. What is j rounded to 2 decimal places?
0.15
Let m = -0.02 - 0.28. Let k = 0.7 - m. Let s = -1.0000025 + k. What is s rounded to six dps?
-0.000003
Suppose -4*p = -96854 - 15146. Round p to the nearest ten thousand.
30000
Let j(v) = v**2 + 3*v - 3. Let u be j(-4). Let q be 10/(2/(-30)*u). Let d be (q/(-8))/((-2)/64). What is d rounded to the nearest 1000?
-1000
Let w = 0.104 + -0.06. Let n = 33.956 + w. Let j = n - 33.99969. What is j rounded to 4 dps?
0.0003
Let u(j) = 0 + 3*j - 2 + j**3 - 4*j**2 + 5 + 1. Let y be u(3). Suppose p + 30000000 = y*p. Round p to the nearest one million.
10000000
Suppose m + 6002 = 3*i - i, -3*m + 11994 = 4*i. Round i to the nearest 1000.
3000
Suppose 0 = -4*p + 5 + 3. Let a be 49210/6 - p/(-6). Let j be -1 - a/(-4 + 2). What is j rounded to the nearest one thousand?
4000
Let o = 0.6 - 1. Let y = -307679.5999984 - -307680. Let r = y + o. What is r rounded to six decimal places?
0.000002
Let f = -1.916 - -1.9. What is f rounded to three decimal places?
-0.016
Let t = 470121.00044 - 470112. Let r = -13 + 4. Let n = r + t. What is n rounded to 4 decimal places?
0.0004
Suppose 4*z = 4*c - 1324, c + 1525 = -5*z - 136. Let o be 45/(-1)*z/12. Suppose 2*i + o = -2955. What is i rounded to the nearest one thousand?
-2000
Let t(r) = r + 10. Let q be t(-8). Suppose -28806 = -q*w - 2*f, -4*w + 2*w + 4*f = -28788. Round w to the nearest one thousand.
14000
Let u be 20/90 + (-97200002)/9. What is u rounded to the nearest one million?
-11000000
Suppose 2 = -2*n, -2*g + 5*n - 363 = 2*n. Round g to the nearest ten.
-180
Suppose 2*w - 2 = 0, 2*w = -m + w + 7301. Round m to the nearest 1000.
7000
Let i = 3.07 - -0.03. Let p = -5 + i. Let d = 1.8928 + p. Round d to three decimal places.
-0.007
Suppose 0 = 2*b - 5*q - 129 - 469886, b = -4*q + 234988. Suppose -6*n - b = -n. Round n to the nearest 10000.
-50000
Let p(z) = 4*z**3 - 3*z + 2. Let w be p(1). Suppose -2*a - w*a - 2400000 = 0. Round a to the nearest 100000.
-500000
Let t be ((-9)/6)/((-2)/(-4)). Let l be (-1319)/t - (-5)/15. Suppose -l = 8*n - 3*n - 5*r, -79 = n - 4*r. What is n rounded to the nearest 10?
-90
Let g = 10332577.69999984 - 10332577. Let p = 0.7 - g. What is p rounded to 7 decimal places?
0.0000002
Let j = 338116 + -338208.9926. Let i = j + 93. What is i rounded to three decimal places?
0.007
Let k = 0.4 - -0.12. Let a = -62516398.51999973 - -62516398. Let s = k + a. Round s to seven decimal places.
0.0000003
Let s = 39 + 68. Let d = s - 106.999947. Round d to 5 decimal places.
0.00005
Let l = -197.7 + 189. What is l rounded to zero decimal places?
-9
Let a = 5 + -14. Let z be (a/(-6))/(1/2). Suppose 84 = z*q + t, 5 = q - 3*t - 13. Round q to the nearest 10.
30
Let q be (-2 + -292)/(-1*2). What is q rounded to the nearest 10?
150
Let q(v) = 630985*v**2 - 3*v - 1. Let u be q(5). Suppose 3*h - u = 2825391. Round h to the nearest 1000000.
6000000
Let h be -2462*(-4)/(24/111). Suppose -454453 - h = -p. What is p rounded to the nearest one million?
1000000
Let u(v) = 3*v - v - 2 - v - 925*v**2. Let a be u(2). What is a rounded to the nearest 1000?
-4000
Let h(o) be the first derivative of -59*o**4/4 + o**3/3 - o**2 - 4. Let y be h(-2). Round y to the nearest 100.
500
Let f = 26725 - 16425. Round f to the nearest one thousand.
10000
Suppose -5*f + 3*d = -28, 4*f + d + 6 = 5*f. Suppose f*v + 48899995 = 3*b, -2*b - 2*v = -b - 16300002. Round b to the nearest one million.
16000000
Let f = 1.761 + -1.85. Let i = -0.008 + f. Round i to 2 decimal places.
-0.1
Let d = 9.05122 - 9.138. Let u = -2.08028 - d. Let g = -2 - u. What is g rounded to three decimal places?
-0.007
Let u = 299 + -291.12. Let g = -0.12 - u. Let i = -7.999933 - g. What is i rounded to 5 dps?
0.00007
Let m = 1005.6972 + -1006. Let c = m + 0.3. What is c rounded to three decimal places?
-0.003
Let x = 1.30365 - 0.70366. Let r = x - 0.6. Round r to four dps.
0
Let r = -3.3 + 0.3. Let g = r + 3.000125. Round g to 5 decimal places.
0.00013
Let u = -5.5 - -2. Round u to 0 dps.
-4
Let p = -4.0000064 - -4. Round p to six decimal places.
-0.000006
Let f(b) = b**3 + 6*b**2 + b - 4. Let r be f(-5). Let z(o) = o**3 - 15*o**2 - 17*o + 24. Let h be z(r). Round h to the nearest 10.
10
Let v be ((-68)/(-5))/(1/2545940). Let m = -19924784 + v. What is m rounded to the nearest 1000000?
15000000
Let n = 44.6324028 - 92.6323987. Let f = -48 - n. Round f to six decimal places.
-0.000004
Let j = 416 + -415.99999827. What is j rounded to 6 decimal places?
0.000002
Let d = -0.593 - -40.293. Let c = -1.9 - d. Let g = c + 47. What is g rounded to 0 decimal places?
5
Let d = -0.110233 - -0.11. What is d rounded to 5 decimal places?
-0.00023
Let f = -0.240021 - -0.24. Round f to five decimal places.
-0.00002
Suppose 5 = y, -o = -5*o - 2*y + 23334954. Let h = 8433736 - o. Round h to the nearest one million.
3000000
Suppose -3 = -2*i - 13, 2*i = n - 860010. Suppose 5*t - n = 7*t. Round t to the nearest one hundred thousand.
-400000
Let d = 16 - 11. Suppose 4*w - d = 3. Suppose 0 = -f - k - 359, -187 + 912 = -w*f + 5*k. What is f rounded to the nearest 100?
-400
Let o = -36 - -71. Let c = -35.0038 + o. What is c rounded to three decimal places?
-0.004
Let v = 32743 + -79843. What is v rounded to the nearest 10000?
-50000
Let l = -0.18 - 0. Let n = -0.17993 - l. What is n rounded to 5 dps?
0.00007
Let u(i) be the second derivative of -i**3/6 + 370*i**2 - 4*i. Let k(w) = -w**2 + 8*w - 7. Let h be k(7). Let y be u(h). Round y to the nearest one hundred.
700
Suppose 2*z = -2*z + 8. Suppose 0*h = -z*h + 256. Let y = -47 + h. Round y to the nearest 10.
80
Let g = 17.6 - 18. Let w = g + 0.39872. Round w to four decimal places.
-0.0013
Let i = -1.7 + 10.7. Let n = 274 - 264.84. Let g = i - n. What is g rounded to 1 decimal place?
-0.2
Suppose 2*m + 2896 = -3*j, -2*m - 1930 = 2*j - 0*m. Round j to the nearest 100.
-1000
Let c = -60 + 59. Let g = -189942.00007 + 189943. Let y = g + c. Round y to 4 decimal places.
-0.0001
Let x = -117256.30046 - -117262. Let a = 63.7 + -58. Let n = x - a. Round n to four decimal places.
-0.0005
Let l = 0.02199947 + -0.022. Round l to seven decimal places.
-0.0000005
Let y = -19.8123 + 19.8. Round y to three decimal places.
-0.012
Let x be (2 + 1)/6 - 25680003/6. What is x rounded to the nearest one hundred thousand?
-4300000
Let v = 188.543 + 0.457. Let k = -598099339.0000109 - -598099528. Let l = v - k. Round l to six dps.
0.000011
Let q = -0.93822 - -0.94. What is q rounded to 4 decimal places?
0.0018
Suppose 62 = 6*q - 34. What is q rounded to the nearest ten?
20
Let p = -0.7 + -2.3. Let c = 5 + p. Let j = -1.99999 + c. Round j to four dps.
0
Let t be (6/15)/(-1)*-55. Let r = -16 + t. Let x be 6/(-2)*22/r
|
{
"pile_set_name": "DM Mathematics"
}
|
41825*o/2 + 377984559330625/4 = 0.
-19441825
Suppose -3*b**5/5 + 206529*b**4/5 - 206463*b**3/5 - 4337181*b**2/5 + 1858734*b = 0. What is b?
-5, 0, 3, 68842
Determine s so that 5*s**3/2 - 143276*s**2 - 2464693*s/2 - 687828 = 0.
-8, -3/5, 57319
Factor c**3/5 + 27964*c**2 + 4872834372*c/5 - 1019607720768/5.
(c - 208)*(c + 70014)**2/5
What is d in -5*d**2 - 585439*d + 117088 = 0?
-117088, 1/5
What is k in -k**2/5 + 28816890*k - 1038016436590125 = 0?
72042225
Factor 2*f**2 + 67564328*f - 67564330.
2*(f - 1)*(f + 33782165)
Factor 4*l**2 + 14756008*l + 13608735756004.
4*(l + 1844501)**2
Factor 2*q**3 - 17092*q**2 - 96824640*q - 109451071296.
2*(q - 12698)*(q + 2076)**2
Find i such that -5*i**5 - 52810*i**4 - 139655870*i**3 - 1114555200*i**2 - 1810354005*i - 835401870 = 0.
-5277, -6, -1
Find z, given that 2*z**5/15 + 6638*z**4/3 - 4*z**3/5 - 199124*z**2/15 + 265514*z/15 - 6638 = 0.
-16595, -3, 1
Solve 4*c**3 - 3456*c**2 - 2131740*c - 6364008 = 0 for c.
-414, -3, 1281
Find i, given that 2*i**2 + 7626204*i + 7626202 = 0.
-3813101, -1
Solve -d**5 + 41525878*d**4 - 574799486873041*d**3 + 2652116402039663212280*d**2 + 5304234528477953147200*d + 2652117551638761536000 = 0.
-1, 13841960
Suppose -92*q**4 + 14836*q**3 + 11224*q**2 - 33744*q + 7776 = 0. Calculate q.
-2, 6/23, 1, 162
Let 3*j**5/5 - 1854*j**4/5 + 58521*j**3/5 - 351954*j**2/5 - 1493412*j/5 - 216216 = 0. Calculate j.
-2, -1, 14, 22, 585
Find v, given that 3*v**3/5 - 13071*v**2/5 + 1476552*v/5 - 2900844/5 = 0.
2, 114, 4241
Determine k, given that 6*k**4 + 55666*k**3 + 371070980*k**2/3 - 25417432000*k - 76623200000/3 = 0.
-14200/3, -1, 190
Solve -20235*l**5 - 20225*l**4 + 10*l**3 = 0.
-1, 0, 2/4047
Factor k**3/4 + 68957*k**2/4 + 297200360*k + 297183121.
(k + 1)*(k + 34478)**2/4
Suppose 3*m**4/5 + 324*m**3/5 - 7308*m**2/5 - 165264*m/5 + 71424 = 0. Calculate m.
-124, -16, 2, 30
Factor 5*j**2 + 31570*j - 126360.
5*(j - 4)*(j + 6318)
Find n such that n**2/6 + 4564532*n/3 = 0.
-9129064, 0
Suppose -k**3/4 + 43381*k**2/4 + 3999425*k/4 + 3956043/4 = 0. Calculate k.
-91, -1, 43473
Suppose -u**3/5 - 10186*u**2/5 + 951460*u - 543346488/5 = 0. Calculate u.
-10638, 226
Find z, given that 2*z**3/15 + 29264*z**2/15 + 930304*z/5 = 0.
-14536, -96, 0
Find q such that 4*q**2/5 - 5368*q/5 + 455364/5 = 0.
91, 1251
Factor -5*s**2 - 227945610*s - 2597960055913605.
-5*(s + 22794561)**2
Factor -y**3 - 2675*y**2 + 53864*y - 97020.
-(y - 18)*(y - 2)*(y + 2695)
Let 2966*s**2/9 - 39452*s/3 + 224848/9 = 0. What is s?
2, 56212/1483
Solve -4*i**2 + 198911504*i - 2472861651471376 = 0.
24863938
Solve 12*t**4 - 3700*t**3 + 345344*t**2 - 8733584*t + 2872960 = 0 for t.
1/3, 40, 134
Solve -4*w**3 - 42740*w**2 - 1780952*w + 75267296 = 0.
-10643, -68, 26
Suppose -2*n**3/11 - 49728*n**2/11 + 208330*n - 2241900/11 = 0. Calculate n.
-24910, 1, 45
Let n**4/12 + 3869*n**3/4 - 325727*n**2/12 + 205543*n/4 - 151255/6 = 0. Calculate n.
-11635, 1, 26
Factor -w**2 + 13980488*w - 48863511179536.
-(w - 6990244)**2
Factor 4*i**2 - 7545152*i - 22635492.
4*(i - 1886291)*(i + 3)
Determine w, given that 12*w**3 - 1683524*w**2 - 8979184*w + 6734352 = 0.
-6, 2/3, 140299
Factor -g**2 + 5379626*g - 7235093974969.
-(g - 2689813)**2
Factor -6*k**3/7 + 502002*k**2 - 63250794*k/7 + 284626386/7.
-6*(k - 585651)*(k - 9)**2/7
Find h, given that -2*h**4/3 + 43646*h**3/3 - 654316*h**2/3 + 1657456*h/3 - 348928 = 0.
1, 2, 12, 21808
Factor -4*l**2 + 872717632*l - 47602254075230464.
-4*(l - 109089704)**2
What is j in j**2/2 - 142279*j/2 + 19525550 = 0?
275, 142004
Factor d**3 - 323535*d**2 - 73804968*d - 4207623948.
(d - 323763)*(d + 114)**2
Suppose -12*f**5 - 844*f**4 + 17400*f**3 = 0. Calculate f.
-87, 0, 50/3
Suppose -5*g**2 + 26414125*g + 79242420 = 0. What is g?
-3, 5282828
What is f in f**3 + 839*f**2 - 146280*f - 175146768 = 0?
-636, 433
Suppose 2*s**5/13 + 40*s**4 - 5558*s**3/13 - 41452*s**2/13 + 327504*s/13 + 362880/13 = 0. Calculate s.
-270, -8, -1, 7, 12
Find a, given that -4*a**4 + 27424*a**3 + 5144204*a**2 + 261838680*a + 2131430400 = 0.
-87, -10, 7040
Let y**2/6 - 39640*y/3 + 785664800/3 = 0. What is y?
39640
Find u, given that -5*u**2 + 33255840*u - 55297544705280 = 0.
3325584
Find f such that 5*f**2 + 1878500*f + 291047375 = 0.
-375545, -155
Suppose -2*d**4 + 3635*d**3 - 12683*d**2 - 27210*d = 0. Calculate d.
-3/2, 0, 5, 1814
Solve 2*p**4 - 668*p**3 + 68626*p**2 - 1987432*p - 2056728 = 0.
-1, 51, 142
Find y such that 3*y**5 + 91572*y**4 - 5780403*y**3 + 16516980*y**2 = 0.
-30587, 0, 3, 60
Let -3*g**5/5 - 4638*g**4/5 + 89124*g**3/5 - 25422*g**2 - 540129*g/5 - 63852 = 0. What is g?
-1565, -1, 4, 17
Suppose -u**2 + 53796*u - 107588 = 0. Calculate u.
2, 53794
Determine x, given that 2*x**2/15 - 921622*x/15 + 11672916/5 = 0.
38, 460773
Solve -r**2 - 5403008*r - 7298123862016 = 0 for r.
-2701504
Solve 2*c**3/13 + 375806*c**2/13 + 6012512*c/13 + 24049536/13 = 0 for c.
-187887, -8
Solve -2*z**2 - 64016*z - 2621294 = 0.
-31967, -41
Factor 74*k**2/7 + 218600*k/7 + 1688.
2*(k + 2954)*(37*k + 2)/7
Factor -t**3/4 - 367277*t**2/2 - 134887987297*t/4 + 404690406267.
-(t - 12)*(t + 367283)**2/4
Factor 9*c**2 - 114891*c - 38298.
3*(c - 12766)*(3*c + 1)
Factor g**3/3 + 143*g**2/3 + 5864*g/3 + 73372/3.
(g + 26)*(g + 34)*(g + 83)/3
Suppose -20*w**3 - 38571*w**2 - 136708*w - 63525 = 0. What is w?
-1925, -3, -11/20
Let 5*q**2 - 84514*q/5 + 168928/5 = 0. What is q?
2, 84464/25
Suppose 185*l**2/2 + 404975*l/2 + 10945 = 0. Calculate l.
-2189, -2/37
Solve 3*f**3/7 - 24*f**2/7 - 39*f + 42 = 0.
-7, 1, 14
Suppose 2*h**3 - 35174*h**2 + 20964672*h - 3178942200 = 0. What is h?
306, 16975
Factor -b**2/2 + 94026702*b - 4420510344498402.
-(b - 94026702)**2/2
Factor 886*w**2/7 + 11546*w/7 + 52.
2*(w + 13)*(443*w + 14)/7
Let k**5/2 - 187*k**4/2 + 8907*k**3/2 - 62717*k**2/2 + 64288*k - 37290 = 0. What is k?
1, 2, 5, 66, 113
Suppose -5*z**2 - 139796740*z - 977156425731380 = 0. Calculate z.
-13979674
Suppose 10920*y**5 - 53517*y**4 + 59607*y**3 + 9012*y**2 - 3108*y + 144 = 0. What is y?
-2/7, 4/65, 1/8, 2, 3
Solve -285*x**2/2 - 784195*x - 880320 = 0 for x.
-5502, -64/57
Factor 5*r**3 - 11790*r**2 + 23485*r + 176700.
5*(r - 2356)*(r - 5)*(r + 3)
Determine h so that -h**2/3 - 30486952*h/3 - 232363560562576/3 = 0.
-15243476
Let -t**3 - 5160*t**2 + 244777*t + 249936 = 0. What is t?
-5207, -1, 48
Factor -w**3/7 + 180564413*w**2/7 - 8150876720226435*w/7 - 8150876900790849/7.
-(w - 90282207)**2*(w + 1)/7
Solve 24443*c**2/4 - 29477*c/4 + 2517/2 = 0.
5034/24443, 1
Determine b so that 2*b**5/5 + 92*b**4 + 4676*b**3/5 - 6288*b**2 - 75078*b/5 - 7884 = 0.
-219, -15, -1, 6
Factor -2*l**3/11 - 220610*l**2/11 + 3750948*l/11.
-2*l*(l - 17)*(l + 110322)/11
Find c such that -3*c**4/4 - 706*c**3 - 278457*c**2/4 + 189726*c - 95335 = 0.
-829, -115, 2/3, 2
Factor -n**2/4 + 358443*n/4 - 19529203/2.
-(n - 358334)*(n - 109)/4
Factor -2*b**2/3 + 80186*b/3 + 2303596.
-2*(b - 40179)*(b + 86)/3
Let w**5/6 - 631*w**4/6 + 36451*w**3/6 - 224639*w**2/2 + 615978*w - 829602 = 0. Calculate w.
2, 6, 27, 569
Determine g so that 2*g**3/13 + 3992*g**2/13 + 1681536*g/13 = 0.
-1392, -604, 0
Factor -212*b**2 + 1881276*b + 106488.
-4*(b - 8874)*(53*b + 3)
Let -2*i**2/9 - 5087612*i/9 - 10175216/9 = 0. Calculate i.
-2543804, -2
Suppose -2*o**2/5 + 236898*o/5 + 1895312/5 = 0. Calculate o.
-8, 118457
What is t in -3*t**5 - 792*t**4 + 47745*t**3 + 184890*t**2 - 5522112*t + 5290272 = 0?
-314, -12, 1, 9, 52
Determine x, given that 92*x**4 + 689572*x**3 + 1294674720*x**2 + 9472260096*x - 6728417280 = 0.
-3744, -8, 15/23
Let -2*c**2/13 - 5078*c/13 - 1683248/13 = 0. What is c?
-2147, -392
Find q, given that -5*q**4 - 13955*q**3 - 1488495*q**2 - 2935145*q - 1460600 = 0.
-2680, -109, -1
Factor 2*h**2/9 - 15344*h/9 + 76270.
2*(h - 7627)*(h - 45)/9
Determine z, given that -573049*z**5 - 412565*z**4 + 149248*z**3 - 11236*z**2 = 0.
-1, 0, 106/757
Factor 2*q**3 + 712*q**2 - 47800*q + 92736.
2*(q - 56)*(q - 2)*(q + 414)
Factor -m**2 + 11018438*m - 30351493989961.
-(m - 5509219)**2
What is t in 6*t**4/7 + 6890*t**3/7 + 267406*t**2 - 61751938*t/7 = 0?
-589, 0, 89/3
Determine c, given that -1092*c**4/5 - 30873*c**3/5 + 132597*c**2 + 6031506*c/5 + 26448 = 0.
-40, -29/4, -2/91, 19
What is s in -9*s**2/2 - 25118697*s/2 - 4186449 = 0?
-2790966, -1/3
Determine k,
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 12*o + 6*o**2 + 7*o - 14*o + 13*o**i wrt o.
38
Let u be ((-21)/56)/1 - (-118)/16. Find the third derivative of 398*s**5 + 138*s**2 - 270*s**5 + 7*s**4 - u*s**4 wrt s.
7680*s**2
Suppose -20 + 12 = -2*q. Find the second derivative of 9*u + 134*u**q - u - 249*u**4 - 3*u + 4*u wrt u.
-1380*u**2
Let r(x) = 1767*x**4 + 10*x**3 - 15*x + 1279. Let q(s) = -883*s**4 - 6*s**3 + 9*s - 640. Let o(z) = 5*q(z) + 3*r(z). Differentiate o(g) with respect to g.
3544*g**3
Let w(t) = -2*t**3 + 40*t**2 + t - 18. Let m be w(20). What is the third derivative of -89*q**3 - 16*q**m - 320 + 643 - 324 wrt q?
-534
Let b(w) = -28319*w**4 - 75*w + 84473. Let p(z) = 4720*z**4 + 12*z - 14079. Let n(u) = 4*b(u) + 25*p(u). Differentiate n(f) wrt f.
18896*f**3
Let d(b) be the first derivative of 0*b**5 - 2/3*b**3 - 102 + 0*b**2 + 0*b**4 - 32/3*b**6 - 7*b. Find the third derivative of d(y) wrt y.
-3840*y**2
Suppose 5*b - 480 = -3*b. Let c = -39 + b. What is the third derivative of 14*d**2 + 48 + c*d**4 - 29 - 19 wrt d?
504*d
Let d(o) = -1. Let c(v) = -7*v**2 + 41*v + 150. Let r(s) = c(s) - 5*d(s). What is the derivative of r(b) wrt b?
-14*b + 41
Find the third derivative of -2272*u**3 - 520*u**3 - 7885*u**2 + 2300*u**3 - 1449*u**3 wrt u.
-11646
Find the third derivative of 1233*m**2 + 167*m**2 + 673 - 673 - 1524*m**3 wrt m.
-9144
Let m(d) = -d + 8. Let h be m(11). Let p be 0 + (2 + -2)/h + 0. Differentiate 7 + l**4 + 5*l**4 + p wrt l.
24*l**3
What is the derivative of 37 + 399*g**2 + 101 + 408*g**2 wrt g?
1614*g
Let x(s) = 12*s - 64. Let f be x(8). Find the third derivative of 12*p**3 - f*p**3 + 2*p**2 + 27*p**3 - 13*p wrt p.
42
Let x(t) be the second derivative of -1244*t**4/3 + 1073*t**3/6 + t**2 + 6664*t. Find the second derivative of x(s) wrt s.
-9952
Let s(o) be the second derivative of -11981*o**4/12 + 3971*o**3/6 - 432*o + 1. What is the second derivative of s(y) wrt y?
-23962
Let o(l) be the third derivative of -641*l**9/168 + l**5/15 - 42*l**3 - l**2 - 150*l - 5. What is the third derivative of o(c) wrt c?
-230760*c**3
Let t(s) = -7*s + 4 - 12*s + 29*s - 9 - 14*s. Let g be (-2)/(-4) - (-26)/(-4). Let l(n) = 9*n + 10. Let f(w) = g*l(w) - 14*t(w). Differentiate f(m) wrt m.
2
Let a = -71 + 75. Let t(d) = d**3 - d**2 - 2*d + 2. Let c be t(2). Differentiate -6 - a*w - 1 + 5*w - c*w wrt w.
-1
Let u(v) be the first derivative of -2*v**5/5 + v**4/4 - 342*v**2 - 3353*v - 4086. Differentiate u(c) wrt c.
-8*c**3 + 3*c**2 - 684
Let i(s) = 14*s**2 + s - 1. Let o(x) = -334*x**2 - 4*x - 3066. Let r(n) = 12*i(n) + o(n). Find the first derivative of r(t) wrt t.
-332*t + 8
Let l be 0/(-1) - -2 - -82. Suppose 4*z = -5*h + 213, 2*h = z + z - l. What is the first derivative of 23 - 3*f**4 - 52 + z wrt f?
-12*f**3
Find the second derivative of -12*y**2 - 935*y - 4*y**3 - 36 + 18 + 18 - 1491*y wrt y.
-24*y - 24
Find the third derivative of 146*b - 782*b**6 + 3 + 234*b**2 - 69*b - 77*b wrt b.
-93840*b**3
Let i = -7425 - -7457. Let y be (-1)/((-1)/(-3)*-1). Find the third derivative of i*a**5 + 4*a**3 + 25*a**2 - 9*a**3 + 5*a**y wrt a.
1920*a**2
What is the third derivative of -5*s**2 - 361*s + 35 + 1437*s - 3019*s**3 - 5263*s**3 - 35 wrt s?
-49692
Let u(z) = -z**2 - 22*z. Let x(g) = 8*g**2 - 1634*g + 3170. Let y(d) = -6*u(d) - x(d). Differentiate y(s) with respect to s.
-4*s + 1766
Let n(y) = 3380*y**2 + 6*y + 125. Let s(j) = 1690*j**2 + 3*j + 61. Let b(u) = -3*n(u) + 5*s(u). Find the second derivative of b(m) wrt m.
-3380
Let b(w) be the third derivative of -1451*w**7/210 - 347*w**3/3 - w**2 - 712. Differentiate b(p) with respect to p.
-5804*p**3
Let m(x) = -186*x**3 - 5*x**2 + 4*x. Suppose -7 + 37 = 30*y. Let g(f) = -f**2 + f + 1. Let w(h) = y*m(h) - 5*g(h). What is the second derivative of w(c) wrt c?
-1116*c
Let p(g) = 7970*g**2 + 3*g - 33. Let m(n) = -23928*n**2 - 9*n + 95. Let z(y) = -2*m(y) - 7*p(y). Find the second derivative of z(l) wrt l.
-15868
Let q(g) be the third derivative of 937*g**7/105 - 69*g**5/20 - g**4/24 + 3468*g**2. What is the third derivative of q(x) wrt x?
44976*x
Let n(j) = 86*j + 30. Let v(m) = -7*m + 3. Let y(l) = 12*l - 5. Let d(g) = 5*v(g) + 3*y(g). Let w(i) = -3*d(i) - n(i). Find the first derivative of w(p) wrt p.
-89
Let m(a) = a**3 + 7*a**2 + 6. Let j be m(-5). Let y be -1 + -1 + 4 + 1. What is the second derivative of 4*o + 68*o**3 + y*o - j*o**3 wrt o?
72*o
Let l(c) = -c**2 - 10*c + 16. Let p be l(-9). What is the derivative of -14*g - p*g - 6*g - 17*g + 23 wrt g?
-62
Let w(f) be the first derivative of -332*f**5 - 281*f**3 + 162. What is the third derivative of w(y) wrt y?
-39840*y
Let s be 2 + -1 + -2 + 3. Let k(n) = 84*n - 767. Let d(f) = -22*f + 192. Let v(g) = s*k(g) + 9*d(g). Differentiate v(z) with respect to z.
-30
Suppose -36*m - 16 = -88. Let y(r) be the first derivative of 0*r**3 + 0*r**m - 1/2*r**4 - 7 - 14*r. Find the first derivative of y(g) wrt g.
-6*g**2
Suppose -8*w + 7 + 9 = 0. What is the first derivative of 55*s**w + 4*s**2 - 75 + 13 wrt s?
118*s
Let l = -55 - -83. Suppose -44 = 10*x - 32*x. Find the second derivative of -2*c - l*c**x - 24*c + 4*c wrt c.
-56
Let g = 5667 - 5655. Let n(a) be the second derivative of 0*a**5 + g*a + 0 - a**3 + 0*a**2 + 13/30*a**6 + 0*a**4. What is the second derivative of n(r) wrt r?
156*r**2
Let b(u) = -2065*u**4 - 4*u - 3283. Let t(s) = -685*s**4 - s - 1094. Let j(o) = 2*b(o) - 7*t(o). What is the second derivative of j(p) wrt p?
7980*p**2
Let m(x) be the third derivative of -7/10*x**5 + 0*x + 0*x**4 - 133*x**2 + 113/6*x**3 + 0. Differentiate m(h) with respect to h.
-84*h
Suppose -22*j = -26*j + 80. Differentiate -45*q**4 + j - 74 - 111 wrt q.
-180*q**3
Let l = -1 - -1. Suppose 4*g - 4 = -l*c - c, 0 = -4*g. What is the second derivative of c*h + 6*h - 3*h - 16*h**2 - 3*h**2 wrt h?
-38
Let n = -17 + 25. Suppose 11*s - n = 3*s. What is the second derivative of 5*t - 3 + 6*t**2 + s + 2 wrt t?
12
Let m = 23 - 24. Let k be ((-1)/(-3))/m*-12. What is the second derivative of -3*g - 2*g**2 - 10*g**k + 17*g + 2*g**2 wrt g?
-120*g**2
Let t(z) = -z**3 - 2*z**2 + 7*z + 6. Suppose 12*c - 7*c + 20 = 0. Let u be t(c). What is the third derivative of u*d**5 + 7 + 13*d**5 - 7 - 18*d**2 wrt d?
1380*d**2
What is the second derivative of -4 + 4418*o + 931*o**2 + 8217*o - 2962*o + 4 wrt o?
1862
Let l(m) be the third derivative of 141*m**2 + 0 + 5/24*m**6 + 0*m**4 + 2/105*m**7 - 11/2*m**3 + 0*m + 0*m**5. What is the derivative of l(g) wrt g?
16*g**3 + 75*g**2
Find the third derivative of -351*l + 351*l + 229 - 54*l**2 + 56*l**2 + 1030*l**4 wrt l.
24720*l
Let i(p) be the third derivative of 13*p**7/210 + 101*p**6/60 + 658*p**5/15 - 82*p**2 + 4*p + 1. Find the third derivative of i(k) wrt k.
312*k + 1212
Let r(n) be the third derivative of 0*n**3 + 8 + 0*n + 1/15*n**7 + 0*n**6 + 1/60*n**5 - 13/12*n**4 + 3*n**2. What is the third derivative of r(f) wrt f?
336*f
Let x(f) be the second derivative of -97/2*f**2 + 79/6*f**4 + 146*f + 0 + 1/6*f**3. Find the second derivative of x(j) wrt j.
316
Let a(k) = -7*k - 3. Let j = 33 - 10. Let q = j - 17. Let l(n) = n**2 + 29*n + 13. Let u(x) = q*l(x) + 26*a(x). What is the second derivative of u(i) wrt i?
12
Let y(f) be the first derivative of 2*f**4 + 83*f**3/3 + 1124*f**2 - 1777. Find the second derivative of y(d) wrt d.
48*d + 166
Let i(v) be the third derivative of -166*v**7/35 + 3*v**5/10 - 71*v**4/24 + 365*v**2. Find the third derivative of i(l) wrt l.
-23904*l
Let l be 1/(1/4) + 518 + -7. Find the first derivative of 1091 - 11*p - 544 - 3*p**2 - l wrt p.
-6*p - 11
Let d(x) = 3*x**3 + 2*x - 24. Let k(r) = -4. Let i(t) = -6. Let u(z) = 3*i(z) - 5*k(z). Let p(b) = d(b) + 6*u(b). Find the first derivative of p(c) wrt c.
9*c**2 + 2
Let q(b) be the third derivative of 2809*b**5/30 + 1803*b**3/2 - 7*b**2 - b - 59. Differentiate q(z) with respect to z.
11236*z
What is the third derivative of 185*z**4 + 187*z**4 + 7234*z**2 - 206*z**4 + 145*z**4 - z**3 wrt z?
7464*z - 6
Find the first derivative of -7705*k**3 + 7705*k**3 + 1119 + 1316*k**4 wrt k.
5264*k**3
Suppose 21*t - 37 = -5*m + 17*t, -9 = -3*m + 2*t. What is the second derivative of -28 - 68 + 184*i**5 - 134*i**5 - 181*i**m - i + 0*i wrt i?
-2620*i**3
Let l(s) be the third derivative of -191*s**6/24 - s**5/20 - 37*s**4/24 + 964*s
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Simplify (sqrt(700) + sqrt(700) + (sqrt(700) - (sqrt(700) + 2)) + -2 + -4 + sqrt(700) + 2)**2.
-360*sqrt(7) + 6336
Simplify -3 + (-4*(sqrt(200) + -5))**2 + 3.
-1600*sqrt(2) + 3600
Simplify (5 + (sqrt(325) + (sqrt(325) - (sqrt(325)*-1*-6 + sqrt(325))) - sqrt(325)) + -4)**2*-3.
-35103 + 180*sqrt(13)
Simplify ((sqrt(1872) + -2 + sqrt(1872) + 0 - (sqrt(1872) + -4 + 1 + sqrt(1872))) + 1)**2.
4
Simplify -5*6*sqrt(50) + (sqrt(160)/sqrt(1000))/sqrt(8).
-1499*sqrt(2)/10
Simplify (-3 + (sqrt(126)/(sqrt(2) + sqrt(2)*-4) - sqrt(63))*-4)**2.
-96*sqrt(7) + 1801
Simplify -4*(1 + (-6*sqrt(125)*2*-4)**2 + -1).
-1152000
Simplify (-1 + sqrt(153) + sqrt(17) + 4)*-1 - ((sqrt(1700) - (-1 + -1 + sqrt(1700)) - sqrt(1700)) + 5).
-10 + 6*sqrt(17)
Simplify ((sqrt(5) + -6*sqrt(20)/sqrt(4) - (sqrt(125) + -1)) + -5)**2 + (sqrt(5) - sqrt(40)/sqrt(2))*-1*6.
86*sqrt(5) + 516
Simplify 2*((sqrt(176) - sqrt(11)) + 2 + -3 + 2*sqrt(11)) + (sqrt(22)/sqrt(2))**2*-1 + (1*sqrt(1584))**2.
10*sqrt(11) + 1571
Simplify ((2*(sqrt(228)/sqrt(4)*4 - sqrt(57)))/(sqrt(432) - -3*2*sqrt(432) - sqrt(432) - sqrt(432)))**2.
19/100
Simplify (sqrt(396) + -1 + sqrt(396) + -3 + 6*(sqrt(396) + 4) + 3)**2.
2208*sqrt(11) + 25873
Simplify -1*sqrt(45) + (sqrt(5) - (sqrt(5) + (sqrt(80)*-2)**2)) - sqrt(10)/(-3*sqrt(2)*2 + sqrt(2)).
-320 - 14*sqrt(5)/5
Simplify 3 + (sqrt(1700)*2)**2 - (-4 + sqrt(1700) + sqrt(1700) + sqrt(1700)*1).
-30*sqrt(17) + 6807
Simplify (-2*sqrt(88)*-4)/((sqrt(176) - -3*sqrt(176))*-5).
-sqrt(2)/5
Simplify (-4*-1*sqrt(132)*-2)/(-6*(sqrt(1728) - sqrt(1728)*2 - sqrt(1728) - sqrt(12))).
-4*sqrt(11)/75
Simplify -5*(-1 + sqrt(2057) - sqrt(2057)) + -4 - (((sqrt(187) + sqrt(187) + sqrt(187) + -1*sqrt(187))*-2)/(5*sqrt(44)))**2.
-43/25
Simplify -3 + ((sqrt(38) + (1*sqrt(190))/sqrt(5))/sqrt(2) + 1)*6.
3 + 12*sqrt(19)
Simplify 2 + sqrt(2448) + -2 + 5 + sqrt(2448) + -1 + -3 + (sqrt(2448)*-1)**2 + 0.
24*sqrt(17) + 2449
Simplify 0 + (2*(-1 + (-2 + sqrt(10)/sqrt(2) + sqrt(5) - sqrt(5))))**2.
-24*sqrt(5) + 56
Simplify ((-6*(0 + sqrt(72)))**2 + (sqrt(72) - 1*(sqrt(72) + (sqrt(72)*-2 - sqrt(72)))))*1.
18*sqrt(2) + 2592
Simplify 3 + -2*(2*-3*(sqrt(684) + sqrt(684) + sqrt(684) + 1*sqrt(684)))**2.
-787965
Simplify -4 + -3 + 4 + 2 + sqrt(176) + (3*sqrt(176) - sqrt(176) - sqrt(176)) + 2.
1 + 8*sqrt(11)
Simplify (sqrt(120)/sqrt(5)*2)/(1*(sqrt(8) - sqrt(392)))*6.
-2*sqrt(3)
Simplify (-5*(sqrt(1100) + sqrt(1100)*-2*-6 - (0 + -1 + sqrt(1100))) + 2)**2.
3600*sqrt(11) + 3960009
Simplify (-5*(sqrt(396) - ((sqrt(396) - (sqrt(396) + -3))**2 + -2)) + -5)*-1.
-30 + 30*sqrt(11)
Simplify (sqrt(17) + sqrt(68)/sqrt(4) + -2 - sqrt(17) - (sqrt(85)/(sqrt(80) - sqrt(5)) + sqrt(17)) - sqrt(187)/((-4*sqrt(77))/sqrt(7)))**2.
sqrt(17)/3 + 593/144
Simplify (-4*sqrt(343)*-1 + (-1 + sqrt(343))*2)**2*-2.
-24704 + 336*sqrt(7)
Simplify 4 + 5 + -4*(sqrt(13) + 1)**2 + -1.
-48 - 8*sqrt(13)
Simplify sqrt(117)/sqrt(324) + -2*sqrt(208) + ((3*sqrt(325) + sqrt(325) - sqrt(325)) + sqrt(325) - (sqrt(13) + 0 + -5)).
5 + 67*sqrt(13)/6
Simplify 4*(sqrt(1944)*2)/sqrt(12) + 0 + 5.
5 + 72*sqrt(2)
Simplify (4*sqrt(30)*-1)/(-4*sqrt(250))*-3.
-3*sqrt(3)/5
Simplify (2*-6*(sqrt(119) + (sqrt(119) - (sqrt(119) + sqrt(119)*-1))))/((-1*sqrt(847) - sqrt(7)) + 5*-2*sqrt(7)).
12*sqrt(17)/11
Simplify (5 + (sqrt(363) - -1*sqrt(363))*-1 + 1 + 2 + -3 + sqrt(363)*-1)**2.
-330*sqrt(3) + 3292
Simplify 6*(-5*2*sqrt(637) - -6*(sqrt(637) - sqrt(637)*-1))**2.
15288
Simplify (((-1 + sqrt(704))*1)**2 + (-6*(0 + sqrt(704) + sqrt(704) - sqrt(704)))**2 + -5)*4.
-64*sqrt(11) + 104176
Simplify (sqrt(243) - ((sqrt(243) - (sqrt(243)*-1*-2 - sqrt(243))) + sqrt(243))) + 2 + sqrt(3) + -3 + 6*(-2 + sqrt(3)).
-13 + 7*sqrt(3)
Simplify 3*((sqrt(950)*3)/(sqrt(20)/(sqrt(50)/sqrt(5))))**2.
12825
Simplify -4 + ((sqrt(1700) - (sqrt(1700) + 0))*-5 - ((-4*(sqrt(272) + sqrt(17)))**2 + 1)).
-6805
Simplify (1 + ((sqrt(3)*-2)**2*-2 - sqrt(528)/sqrt(11)))*1.
-23 - 4*sqrt(3)
Simplify (-4 + sqrt(304) + -2)**2*-4*-1 + -4.
-192*sqrt(19) + 1356
Simplify ((sqrt(240)*-2)/sqrt(10) + (sqrt(192)*1)/sqrt(8))/(sqrt(24)/(5*(sqrt(3) - sqrt(27)))) + 3.
3 + 10*sqrt(3)
Simplify (-1 + sqrt(19)*-1 + 4)**2 - (sqrt(114) - ((sqrt(114) + 1*sqrt(114) + sqrt(114))*-4 - sqrt(114)))/sqrt(6).
-20*sqrt(19) + 28
Simplify (4*-6*(1 + sqrt(1008) + (sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(28)))*6)*-4)**2.
-110592*sqrt(7) + 2331648
Simplify (-4*(6*sqrt(150)*1)/(sqrt(243) + (sqrt(243) + 1*sqrt(243))*-4))**2.
3200/441
Simplify (3 + (sqrt(128) + -5 + sqrt(2))*-6)*3.
-162*sqrt(2) + 99
Simplify (6*sqrt(30)/sqrt(3) + sqrt(90)*-2)/(2*sqrt(20) + sqrt(5) - (sqrt(5) - (1*sqrt(5) - sqrt(5))*6)).
0
Simplify ((sqrt(616)*1 - sqrt(616))/sqrt(11)*4)/((-5*sqrt(144)/sqrt(3))/sqrt(6)).
0
Simplify 4*(3*-3*sqrt(110) + sqrt(110) + sqrt(110) + sqrt(110))/sqrt(10)*6*3.
-432*sqrt(11)
Simplify ((-6*(sqrt(170) - sqrt(170)*1) - (6*-1*sqrt(170) - sqrt(170) - sqrt(170)))/((-2*sqrt(320))/sqrt(8) - sqrt(40)))**2.
272/9
Simplify (-2*sqrt(121)*-1)/sqrt(11) + (-1*sqrt(11)*3 - -3*(sqrt(11) + 1)).
3 + 2*sqrt(11)
Simplify -5 + 2*sqrt(192) + -4*sqrt(192)*-2 + 2.
-3 + 80*sqrt(3)
Simplify ((sqrt(392) - (sqrt(392) + sqrt(392)*1))/sqrt(8))/(-2*sqrt(343))*6.
3*sqrt(7)/7
Simplify sqrt(1331)*3 + 1 + 4 + 1*(-2*sqrt(1331) + 2).
7 + 11*sqrt(11)
Simplify ((sqrt(640)*1)/(sqrt(60)/(sqrt(12)*-2))*6)**2.
18432
Simplify 4 + -3*1*sqrt(171) + 2 + (sqrt(171)*1)**2.
-9*sqrt(19) + 177
Simplify -2*-4*((sqrt(99) - (-3*(-1 + sqrt(99)))**2) + 0).
-7200 + 456*sqrt(11)
Simplify (sqrt(54)/sqrt(3))/sqrt(6) - (sqrt(3) + ((sqrt(21)*-1)/sqrt(7))**2) - ((-2*sqrt(243))**2 - sqrt(243))*4.
-3891 + 36*sqrt(3)
Simplify ((sqrt(513)*-4)/sqrt(3) - (sqrt(57) - sqrt(57)*-1*6)/sqrt(3)) + 4.
-19*sqrt(19) + 4
Simplify (-3*(-1*sqrt(32))/sqrt(4))**2*-4.
-288
Simplify ((sqrt(50)*1 - sqrt(648))*-4*-3)**2.
48672
Simplify 4*((sqrt(5) + 2*sqrt(405) - 5*(sqrt(5) + -1))*5 + 3).
112 + 280*sqrt(5)
Simplify (5*sqrt(528))/(sqrt(108)*-3).
-10*sqrt(11)/9
Simplify (3 + sqrt(272) + -1)**2 + (sqrt(272) - -1*(1 + sqrt(272)))**2 + 5.
32*sqrt(17) + 1370
Simplify (-4 + 2 + -5*sqrt(2448)*-2)**2.
-480*sqrt(17) + 244804
Simplify 0 + (sqrt(128) - (3 + sqrt(128) + sqrt(128) + -2)**2) + ((sqrt(128) - sqrt(128)*-3*3) + sqrt(128))**2.
-24*sqrt(2) + 14975
Simplify (-6*-3*sqrt(77))/(sqrt(33)/sqrt(3)*-4 - sqrt(11))*4.
-72*sqrt(7)/5
Simplify (1 + sqrt(1100) + sqrt(1100) + 4 - sqrt(1100))**2 - -5*(-3*sqrt(1100) - sqrt(1100)).
-100*sqrt(11) + 1125
Simplify -3*((0 + -1*sqrt(832) - (-2 + (sqrt(832) - sqrt(832)*2 - sqrt(832))))**2 + -3).
-2499 - 96*sqrt(13)
Simplify ((1*(sqrt(147) - ((sqrt(147) + -2 - sqrt(147)) + sqrt(147))) + sqrt(147) - (5 + 1*sqrt(147))) + 5)**2.
4
Simplify -1*-3*(-5 + (sqrt(1088) + -2)**2 + sqrt(1377) + -1).
-69*sqrt(17) + 3258
Simplify ((sqrt(121)*2)/sqrt(11))**2*-4 + sqrt(99)/(sqrt(27)/sqrt(12)).
-176 + 2*sqrt(11)
Simplify (5 + -1 + -1 + sqrt(325))**2 - ((sqrt(325)*2 + sqrt(325))*6 + -1*(2*sqrt(325))**2).
-60*sqrt(13) + 1634
Simplify -1 + 3*6*((sqrt(336)*1)/sqrt(12))**2.
503
Simplify 5 + ((sqrt(448)*6)/((sqrt(4) - sqrt(36))*4 + sqrt(4)))**2 + -4.
583/7
Simplify 1*((3 + sqrt(5) + -6*(sqrt(5) + sqrt(5) + -1))**2 + -5 + -2*sqrt(5) + (sqrt(5) - (1 + sqrt(500) - sqrt(5)))).
-208*sqrt(5) + 680
Simplify ((sqrt(14) + sqrt(28)/sqrt(2) - sqrt(14))/sqrt(7) + -3)**2 - (1*(sqrt(2) + sqrt(2) + -1*sqrt(2) + 4 + sqrt(2)))**2.
-22*sqrt(2) - 13
Simplify ((sqrt(2496)/sqrt(3) - sqrt(13)) + (sqrt(156)/(sqrt(12)*3))**2)*-4 + 4.
-28*sqrt(13) - 16/9
Simplify -2*(5 + 1 + sqrt(7)) - (4 + sqrt(1008)*-2)**2.
-4060 + 190*sqrt(7)
Simplify sqrt(19) + (-2 + sqrt(19))*5 + -2*sqrt(57)/sqrt(3) + (3 + -3 + sqrt(1900) + sqrt(1900))**2.
4*sqrt(19) + 7590
Simplify ((sqrt(130)*-3 + sqrt(130))*6*3)/((3*sqrt(1440) - sqrt(1440))*4).
-3*sqrt(13)/8
Simplify (1*(sqrt(17)*-1 + -2 + sqrt(17) + sqrt(17) + (sqrt(17)*-1*2 + sqrt(17) - sqrt(17))))**2 - (4 + 3 + (sqrt(204) + (-1*sqrt(204) - sqrt(204)))/sqrt(12)).
14 + 5*sqrt(17)
Simplify 3*(-3 + ((0 + sqrt(1053)*-2)**2 - 3*(2*sqrt(1053))**2) + 2).
-25275
Simplify -4*(1*sqrt(49)*5*-1)/(sqrt(175) + 5*1*sqrt(175)).
2*sqrt(7)/3
Simplify (4*((sqrt(5) + -1*sqrt(245) - (sqrt(5) + sqrt(80) + -4)) + 0 + 2*sqrt(5) + -5))**2.
288*sqrt(5) + 6496
Simplify (-1*(4*sqrt(315) - sqrt(315)))/((sqrt(7) - (sqrt(1008) - (sqrt(1008) + -4*sqrt(1008))))*-3).
-3
|
{
"pile_set_name": "DM Mathematics"
}
|
Four letters picked without replacement from ckxkccxkckkkxk. Give prob of picking 2 x and 2 c.
18/1001
Two letters picked without replacement from pejeujneereeeenpeep. What is prob of picking 1 p and 1 j?
2/57
Calculate prob of picking 1 d, 1 z, and 2 j when four letters picked without replacement from {z: 3, d: 5, j: 9, m: 2}.
45/323
Three letters picked without replacement from {g: 2, n: 2, t: 10}. Give prob of picking 2 n and 1 g.
1/182
Calculate prob of picking 2 e, 1 d, and 1 r when four letters picked without replacement from {r: 1, e: 5, d: 4}.
4/21
Four letters picked without replacement from nngivgiingigq. What is prob of picking 2 i, 1 g, and 1 q?
24/715
Calculate prob of picking 1 a, 1 r, and 1 t when three letters picked without replacement from nrtccrrttntrrcta.
5/112
What is prob of picking 1 t and 1 g when two letters picked without replacement from {n: 3, t: 1, g: 2, s: 1, a: 3, b: 3}?
1/39
Two letters picked without replacement from xiccxl. What is prob of picking 1 i and 1 c?
2/15
Calculate prob of picking 2 e, 1 j, and 1 x when four letters picked without replacement from {x: 1, w: 7, q: 2, e: 6, j: 4}.
4/323
Two letters picked without replacement from {x: 1, t: 11, n: 8}. What is prob of picking 1 x and 1 t?
11/190
Three letters picked without replacement from cyyycyyyycy. What is prob of picking 3 y?
56/165
Two letters picked without replacement from yhywyyyyywyeyyyyhhww. What is prob of picking 1 h and 1 w?
6/95
Calculate prob of picking 2 t when two letters picked without replacement from {t: 12, p: 6}.
22/51
Two letters picked without replacement from vqqeeqee. Give prob of picking 1 e and 1 q.
3/7
Calculate prob of picking 2 a when two letters picked without replacement from {z: 4, a: 7, r: 2}.
7/26
Calculate prob of picking 3 e when three letters picked without replacement from mmmmleleemlmlmmem.
1/170
Calculate prob of picking 1 q and 2 p when three letters picked without replacement from {p: 9, q: 7}.
9/20
Three letters picked without replacement from {i: 1, s: 1, u: 1, p: 1, z: 1}. What is prob of picking 1 s, 1 u, and 1 z?
1/10
Two letters picked without replacement from {j: 1, p: 2, i: 1, f: 1}. Give prob of picking 2 p.
1/10
Two letters picked without replacement from ddldldqldllllldw. What is prob of picking 2 l?
7/30
Two letters picked without replacement from gggggygggggggggggggg. What is prob of picking 2 g?
9/10
Four letters picked without replacement from xxzztdzzzpzdzz. What is prob of picking 1 z, 1 p, 1 d, and 1 t?
16/1001
Four letters picked without replacement from vxtxvtutu. Give prob of picking 1 t, 1 u, and 2 x.
1/21
What is prob of picking 1 n and 2 p when three letters picked without replacement from pppnnppp?
15/28
Three letters picked without replacement from rrkokuowouerk. Give prob of picking 1 e, 1 w, and 1 o.
3/286
Calculate prob of picking 2 b when two letters picked without replacement from {b: 6, e: 2}.
15/28
Four letters picked without replacement from {p: 1, r: 4, f: 3, u: 1, j: 3, q: 5}. What is prob of picking 3 r and 1 p?
1/595
What is prob of picking 2 x when two letters picked without replacement from yyyxxxxxvxyv?
5/22
Four letters picked without replacement from vzvyvvyvvvzzvzbyvzz. Give prob of picking 1 v, 1 b, 1 y, and 1 z.
27/646
What is prob of picking 1 w and 2 n when three letters picked without replacement from {p: 1, s: 2, w: 1, n: 2, j: 1, f: 1}?
1/56
Calculate prob of picking 1 l, 1 r, and 2 m when four letters picked without replacement from {r: 7, l: 1, m: 8, b: 1, p: 2}.
49/969
Four letters picked without replacement from lytig. What is prob of picking 1 l, 1 i, 1 y, and 1 t?
1/5
Four letters picked without replacement from {q: 7, v: 7}. Give prob of picking 1 v and 3 q.
35/143
Two letters picked without replacement from {i: 1, r: 1, a: 4, q: 2}. What is prob of picking 1 a and 1 q?
2/7
Three letters picked without replacement from bzmxmqzyy. Give prob of picking 1 z, 1 q, and 1 b.
1/42
What is prob of picking 1 y and 1 t when two letters picked without replacement from fffveywwete?
1/55
Calculate prob of picking 1 m and 1 p when two letters picked without replacement from vvcmppvv.
1/14
Two letters picked without replacement from ugqubzttuggzutuugu. Give prob of picking 1 u and 1 b.
7/153
Calculate prob of picking 1 r and 1 u when two letters picked without replacement from ukrqr.
1/5
Three letters picked without replacement from {u: 4, m: 2, a: 12, p: 1}. Give prob of picking 3 a.
220/969
Four letters picked without replacement from {m: 1, e: 4, o: 7, s: 3, g: 3}. Give prob of picking 1 o, 1 e, 1 g, and 1 m.
7/255
Four letters picked without replacement from {g: 9, b: 7}. Give prob of picking 4 b.
1/52
Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {x: 6, k: 1, r: 5, f: 1, b: 1}.
5/91
Four letters picked without replacement from {n: 2, p: 2, g: 10}. Give prob of picking 4 g.
30/143
Two letters picked without replacement from xddccxxxddccxdddx. What is prob of picking 1 c and 1 d?
7/34
Two letters picked without replacement from oooffofffofof. What is prob of picking 2 o?
5/26
Three letters picked without replacement from {v: 1, z: 1, p: 10, m: 2, c: 1, l: 3}. What is prob of picking 1 z, 1 p, and 1 c?
5/408
Two letters picked without replacement from {v: 10}. What is prob of picking 2 v?
1
Two letters picked without replacement from {u: 2, n: 6, c: 9, p: 2}. What is prob of picking 1 c and 1 p?
2/19
What is prob of picking 2 a when two letters picked without replacement from {a: 2, l: 4, b: 10}?
1/120
Four letters picked without replacement from hnomnnnnnmnon. What is prob of picking 1 h, 2 n, and 1 o?
56/715
Three letters picked without replacement from qqdvidvidqivdqdvqivv. Give prob of picking 1 q and 2 i.
1/38
Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {h: 14, l: 5}.
70/171
What is prob of picking 2 k and 1 u when three letters picked without replacement from {k: 3, u: 1}?
3/4
Two letters picked without replacement from sushwjk. Give prob of picking 1 w and 1 k.
1/21
Calculate prob of picking 1 i and 3 h when four letters picked without replacement from iiihihciiciiiiihhih.
10/323
What is prob of picking 1 r and 1 h when two letters picked without replacement from ishrhyk?
2/21
Calculate prob of picking 3 c when three letters picked without replacement from uummcucmcuuuummcuuu.
4/969
Calculate prob of picking 2 r and 2 j when four letters picked without replacement from {c: 6, e: 4, g: 1, j: 2, r: 2}.
1/1365
Calculate prob of picking 4 c when four letters picked without replacement from {c: 7, t: 6}.
7/143
What is prob of picking 1 r and 1 b when two letters picked without replacement from {r: 2, b: 2, w: 2}?
4/15
Calculate prob of picking 1 m, 1 u, and 2 f when four letters picked without replacement from {f: 3, u: 7, m: 1, t: 1, k: 3, y: 2}.
3/340
Calculate prob of picking 1 v and 1 g when two letters picked without replacement from gcegvpgglccvcce.
8/105
What is prob of picking 1 b and 1 g when two letters picked without replacement from {r: 1, p: 2, l: 1, b: 2, g: 2}?
1/7
What is prob of picking 1 r, 2 p, and 1 a when four letters picked without replacement from gkppakmr?
1/70
Three letters picked without replacement from {t: 3, y: 1, g: 1, q: 3, f: 8, a: 2}. What is prob of picking 1 g, 1 f, and 1 t?
1/34
Calculate prob of picking 3 h when three letters picked without replacement from {m: 3, h: 3, a: 2}.
1/56
What is prob of picking 2 h and 2 m when four letters picked without replacement from mmhhhmhho?
5/21
Three letters picked without replacement from tsfsmptfffs. What is prob of picking 1 p, 1 f, and 1 m?
4/165
Two letters picked without replacement from yayuuzyzgyaaayaaaa. Give prob of picking 1 u and 1 a.
16/153
Two letters picked without replacement from {g: 3, a: 1}. What is prob of picking 2 g?
1/2
What is prob of picking 4 a when four letters picked without replacement from {p: 4, z: 3, a: 7}?
5/143
What is prob of picking 1 a and 1 z when two letters picked without replacement from jazmw?
1/10
Two letters picked without replacement from {h: 2, v: 4, e: 2, r: 5}. What is prob of picking 1 e and 1 h?
2/39
Three letters picked without replacement from tubou.
|
{
"pile_set_name": "DM Mathematics"
}
|
.3, -0.2, -4/7?
-0.2
Which is the nearest to -1/4? (a) -2/9 (b) -2/3 (c) -6/11 (d) -0.05
a
Which is the closest to -2/9? (a) -20 (b) -2 (c) -0.2 (d) -5
c
Which is the closest to 9? (a) 14/5 (b) -0.5 (c) 1
a
What is the closest to -0.03 in 5, -4, 3/2, -0.3?
-0.3
Which is the closest to 1? (a) -0.02 (b) 5 (c) 0.17 (d) 0.2
d
What is the nearest to -3/4 in 0, -2/9, -0.7, -1/2?
-0.7
What is the closest to 1/4 in -14, 4/3, -1/5?
-1/5
What is the closest to -1 in 1, 3, -21, -6/5?
-6/5
Which is the nearest to 3? (a) 2 (b) -59 (c) -2 (d) 2/5
a
What is the closest to 5 in 0.2, -6/13, -0.6?
0.2
Which is the nearest to 2/7? (a) 2 (b) -0.1 (c) 0.5
c
Which is the closest to -2/39? (a) 3 (b) -56 (c) 3/4
c
Which is the closest to 2? (a) 3/2 (b) -1/3 (c) -54
a
Which is the nearest to 4? (a) 7 (b) 3 (c) 6
b
What is the nearest to 0 in 18, 2.9, -3, 0.5?
0.5
Which is the closest to -8? (a) 2/5 (b) -3 (c) -2/5 (d) -1/3
b
Which is the closest to 1? (a) 2/3 (b) 1/21 (c) 3.9 (d) 4/9
a
What is the nearest to -0.19 in -0.2, 2, 3/5?
-0.2
What is the closest to -0.1 in 59, 1, -0.1?
-0.1
Which is the nearest to 311? (a) -1 (b) -0.9 (c) 2 (d) 2/7
c
Which is the closest to -12? (a) -3 (b) 5 (c) 2
a
Which is the closest to -0.2? (a) -41/5 (b) 5 (c) -1/3
c
What is the nearest to -0.1 in -0.2, 5.6, 0.3, 4?
-0.2
What is the closest to 0.2 in 2/3, -0.3, -3.4?
2/3
What is the nearest to -1/3 in 0, 2/9, 0.11, 4?
0
What is the closest to -0.1 in -5, 13, -4, 0?
0
What is the closest to 1 in -5, 18, -8/3?
-8/3
Which is the closest to 0? (a) 7/5 (b) 3 (c) 0.2
c
Which is the closest to 8? (a) 2 (b) 4 (c) 0.5
b
Which is the nearest to -2/3? (a) 0 (b) -5 (c) -0.5 (d) 0.1
c
Which is the nearest to -1? (a) -0.5 (b) 2/9 (c) 1
a
Which is the nearest to -1? (a) 0.4 (b) 10 (c) 1
a
What is the closest to 0.1 in 2/9, 0, -9.28, -4?
0
What is the nearest to 16 in 2/5, 3/7, 0.3?
3/7
Which is the nearest to 0.1? (a) 2 (b) -11 (c) -0.2 (d) 0.5
c
What is the closest to -0.1 in 4/7, 24, 4?
4/7
What is the closest to -8.7 in 4/3, 2/5, 2/9?
2/9
What is the nearest to -1 in -1, 87, 0.5, -4?
-1
Which is the nearest to 9/8? (a) -0.4 (b) 0 (c) 6 (d) -3
b
What is the closest to 1 in 0, 5, 0.1, 6/5?
6/5
What is the closest to 2 in 0.2, 16, 2/3?
2/3
What is the nearest to 0.2 in 4, 0.5, -2/683?
-2/683
Which is the closest to 1/2? (a) 2/5 (b) -4/7 (c) 4 (d) -1.3
a
Which is the closest to 2? (a) 2.8 (b) 0 (c) 5 (d) -0.2
a
Which is the nearest to 0? (a) -3.5 (b) -3/4 (c) -5 (d) -2/5
d
What is the closest to 16285 in -2/7, -1/7, -0.2?
-1/7
Which is the nearest to 0? (a) 2/13 (b) -50 (c) 0.3 (d) -5
a
Which is the closest to 2/7? (a) 4 (b) -2/3 (c) -2
b
What is the nearest to -0.3 in -2, 5, -1/3, 4?
-1/3
Which is the nearest to 5? (a) -7 (b) -4 (c) 4
c
What is the nearest to 1 in 4/151, -3/5, -4/5, -3?
4/151
Which is the nearest to -0.1? (a) -2 (b) -0.3 (c) 2/7 (d) -39
b
Which is the nearest to 0.1? (a) 0.5 (b) 2 (c) 37 (d) -0.2
d
What is the closest to -4 in -0.2, -5, 0.6, 5?
-5
What is the closest to -1 in -3/7, -2, 3?
-3/7
Which is the nearest to -2? (a) 2/11 (b) 1.6 (c) -3/7 (d) 0.4
c
Which is the nearest to -5? (a) -2 (b) -3/2 (c) 1/4 (d) 0.23
a
Which is the nearest to 0.731? (a) 0 (b) 1/7 (c) -0.4 (d) -3
b
Which is the closest to -0.1? (a) -0.4 (b) 6.4 (c) -0.18
c
Which is the nearest to 2? (a) 3 (b) -3/166 (c) -0.3 (d) -4
a
Which is the nearest to 0.1? (a) 5/2 (b) 4 (c) 1.82 (d) -3
c
Which is the nearest to -3? (a) 3/2 (b) -17 (c) 2/5
c
What is the closest to 3/4 in 5, 0.3, 0.1, -4?
0.3
What is the closest to 9 in -2/9, -1, 0, -0.3?
0
Which is the nearest to -0.1? (a) -2/5 (b) -5/6 (c) 5 (d) -5
a
Which is the nearest to -1/3? (a) 6 (b) -1.3 (c) 5 (d) -0.4
d
Which is the closest to -7? (a) 1/2 (b) -1 (c) 0.17 (d) -3/4
b
What is the nearest to -2/13 in 0.4, -0.3, 1/4?
-0.3
Which is the closest to 1? (a) 4 (b) -0.12 (c) -4 (d) 0.5
d
Which is the closest to 3? (a) -0.1 (b) 2/13 (c) 4
c
Which is the nearest to -0.06? (a) 1 (b) -2 (c) 0.5 (d) -4
c
What is the nearest to 2/9 in 0.3, 35, -3?
0.3
What is the nearest to 1/4 in -1, 1/13, 0.057, -2?
1/13
What is the closest to -2 in -0.0773, 0.5, 1/3?
-0.0773
Which is the closest to 10? (a) 3 (b) -4 (c) -2/11 (d) -0.6
a
What is the nearest to 1 in -4, 13/3, 4, 14?
4
What is the nearest to -0.1 in -1, -0.1, -173/3, 3?
-0.1
What is the nearest to 0.07 in 18, 3, 0.5?
0.5
What is the nearest to 2 in 10, 0.4, 1/10, -1?
0.4
Which is the closest to 0? (a) 0 (b) -71 (c) -4
a
Which is the closest to 0? (a) -5 (b) -1/2 (c) 0 (d) 39
c
Which is the closest to -1/3? (a) -5 (b) -1 (c) -12
b
Which is the closest to 1? (a) 24 (b) 5/11 (c) -4
b
What is the nearest to 1 in 0, -0.5, -12/13?
0
Which is the nearest to 3? (a) -5 (b) 5 (c) 1321 (d) 3
d
What is the nearest to -1 in 40, 2/17, -4?
2/17
What is the closest to 39 in 1, 0, 0.3?
1
Which is the closest to -0.3? (a) 4 (b) -0.1 (c) 1/3 (d) -15
b
What is the nearest to 1 in -0.0265, -4, -1/6?
-0.0265
Which is the closest to -1? (a) -1 (b) -1/3 (c) -3 (d) -7/5
a
What is the closest to 8/15 in -1, 1/4, 0.5, 1?
0.5
Which is the closest to 6.4? (a) -2/11 (b) -1/3 (c) 0.3
c
What is the nearest to -0.1 in -117, -2, -0.3, 2/21?
2/21
Which is the nearest to -0.83? (a) -1/5 (b) 0.9 (c) -4/7 (d) 1
c
What is the closest to 2 in -3, 0.019, 0.4?
0.4
What is the closest to 4 in 0.12, 1, -1/9?
1
What is the nearest to 1 in -4, 2/7, 159, -5?
2/7
Which is the closest to -0.2? (a) 25/8 (b) 1 (c) 1/4
c
What is the nearest to 1/4 in -281, -0.1, 1/3?
1/3
What is the closest to -5 in 3/8, -4, -0.2?
-4
Which is the nearest to 1? (a) -2 (b) -0.5 (c) -0.1 (d) -3
c
What is the closest to -280 in -2, -3, 10/9?
-3
What is the nearest to -0.09 in 0.5, -3, -0.5, 14?
-0.5
What is the nearest to 22 in 0, -3, -0.2, -2/3?
0
Which is the nearest to -2.3? (a) 5 (b) -0.1 (c) -2 (d) 0.4
c
What is the nearest to -6 in 5, -0.4, -4?
-4
Which is the closest to 1? (a) -2/43 (b) 47 (c) -5
a
Which is the closest to 0.1? (a) -4.4 (b) 1/5 (c) -4 (d) 1/4
b
Which is the closest to -0.2? (a) -10/3 (b) 4 (c) 17
a
What is the nearest to 2/11 in -2/3, 5, -21?
-2/3
What is the nearest to 5/2 in 2/3, 0.5, -0.02?
2/3
What is the closest to 0 in 1, -4, 66/13?
1
Which is the closest to -1/4? (a) -1/8 (b) -2/137 (c) 19
a
What is the nearest to 39 in 0.2, 2/11, -0.5?
0.2
Which is the closest to -0.3? (a) 42 (b) 2/15 (c) -1 (d) -3/4
b
Which is the closest to -1? (a) -3/17 (b) 0.3 (c) -1 (d) -3
c
What is the closest to -8 in 2/7, 4, -2/7?
-2/7
Which is the closest to -3/7? (a) -3 (b) 1 (c) 2
b
What is the nearest to -1/3 in 0.07, -0.2, 0.4, -0.03?
-0.2
What is the nearest to 0 in -0.2, -0.03, -25/2, 0.3?
-0.03
Which is the nearest to -0.1? (a) -30 (b) 6 (c) -2 (d) 0.1
d
Which is the closest to 0? (a) 2/5 (b) 3/2 (c) -1/55 (d) -3/4
c
What is the closest to 1 in -0.1, 1/12, 5/4, -2/5?
5/4
What is the nearest to -1/3 in -2/13, 2.1, 3/7?
-2/13
Which is the closest to -1/3? (a) 0.1 (b) -2 (c) 0.01 (d) -0.4
d
Which is the nearest to -1/4? (a) -0.3 (b) 0.2 (c) 0.5 (d) 12
a
What is the nearest to -1 in 1/2, -0.777, 2?
-0.777
What is the nearest to 4471 in 4/3, -2, -0.2, 0.3?
4/3
What is the closest to 2/5 in -6, 44, -2?
-2
What is the nearest to 2/5 in 3/4, -0.2, 3/2, 108?
3/4
Which is the nearest to -0.1? (a) 12 (b) -2/9 (c) -0.02
c
What is the closest to 3 in 0, -1/2, -3, 0.4?
0.4
What is the closest to -1 in -15, -17, -2/5, -7/3?
-2/5
Which is the closest to 44? (a) 5 (b) 0.3 (c) -1 (d) -5
a
What is the closest to -6 in -1, -3, -5, -0.1?
-5
Which is the closest to 0.2? (a) 3 (b) -5 (c) -0.1
c
Which is the closest to 2/3? (a) -2 (b) 0.04 (c) -0.3 (d) -1/3
b
Which is the closest to 0.5? (a) 3/4 (b) 1 (c) -4
a
Which is the closest to 4? (a) 3 (b) 10 (c) 2/7
a
What is the closest to -0.2 in 4/5, 7/2, -8?
4/5
Which is the nearest to -4/5? (a) 2 (b) 1/2 (c) 1/6 (d) -7/5
d
Which is the closest to 0.2? (a) -1 (b) 3 (c) -2 (d) -8
a
Which is the closest to -1/6? (a) 0.3 (b) -1 (c) -0.1 (d) -4/5
c
Which is the nearest to 1? (a) -4 (b) -4/9 (
|
{
"pile_set_name": "DM Mathematics"
}
|
e 0 = -4*l - 3*a + 64, a = 5*a. Suppose -2*o + l = 5*f - 19, -o = -f. Suppose 18*d = 11*d + 280. What is the greatest common divisor of d and o?
5
Let g(s) = 2*s**3 - s**2 - 2*s - 1. Let d be g(-1). Let c be 4/d + 2 + 17. Let u be (-6)/(-4) + (-1515)/(-10). What is the highest common divisor of u and c?
17
Suppose 0 = -3*z + 4*p + 139, 0 = 4*p - 0 + 4. Let m be 124/10 + (-18)/z. Suppose 5*f - 4*f = 132. Calculate the highest common divisor of m and f.
12
Let t(u) = -u**2 + 8*u. Suppose 0 = -5*j + 27 + 3. Let z be t(j). Suppose q = -q + z. What is the highest common divisor of 42 and q?
6
Let o be (-1)/1 - (-15 + 1). Let r(f) = f**2 + 4. Let z be r(3). Calculate the highest common factor of z and o.
13
Suppose -5*m = -269 - 51. What is the highest common divisor of 8 and m?
8
Let p be (52/6)/(2/6). Let x be -1 + 0 - (-40)/1. What is the highest common divisor of p and x?
13
Let k be 1/4 + 316/16. Let v(x) = -x + 3. Let z be v(-7). What is the highest common divisor of k and z?
10
Let h(x) = 10*x**2 + 0*x**2 - 3*x**2. Let a be h(1). Suppose 0 = 4*z + 2*f - 90, z = f + 20 + a. Calculate the highest common factor of z and 16.
8
Let s be ((26*2)/(-4))/(-1). Let q = s - 4. Calculate the greatest common divisor of 9 and q.
9
Let i = 10 + -8. Calculate the greatest common divisor of 16 and i.
2
Suppose 3*r - 5*q = -r + 257, 5*r = -4*q + 311. Calculate the highest common divisor of 42 and r.
21
Suppose -y = 4*q - 164, 4*y - 16 = -0*y. What is the highest common divisor of 20 and q?
20
Suppose 4*s = -0*s + 4. Let v be 13*(-1 - -2) + s. Calculate the highest common divisor of 21 and v.
7
Let t be (84/(-9))/(2/(-3)). Suppose -2*r + 309 = 1. What is the highest common factor of t and r?
14
Suppose 0*m - 4*m = -32. What is the greatest common factor of m and 12?
4
Let d be (-2)/3*(-11 - -2). Let i = d - 3. Let c(q) = q**3 - 9*q**2 + 10*q - 13. Let o be c(8). Calculate the highest common divisor of i and o.
3
Let w be 320/28*14/4. What is the greatest common divisor of 16 and w?
8
Suppose 0 = 5*d - 92 + 2. What is the greatest common divisor of d and 18?
18
Let b = 8 + 5. Let v = 9 - b. Let u be (-3)/v - 5/(-20). What is the greatest common factor of 5 and u?
1
Let f be (6/(-15))/((-1)/840). Calculate the highest common factor of f and 28.
28
Let d(r) = r**3 - 4*r**2 - r + 2. Let l be d(4). Let o be (-33)/l*(-2 + 4). Calculate the greatest common factor of 11 and o.
11
Suppose 3*q - 3 + 0 = 0. Calculate the highest common divisor of q and 7.
1
Suppose 0 = -5*i + 4*k + 538, -4*k + 122 = 3*i - 2*i. Calculate the highest common factor of i and 22.
22
Suppose 4*g - 171 = -5*g. Calculate the greatest common factor of 247 and g.
19
Suppose -9 = -5*j + 1. Let l be (j - 58)/((-1)/2). What is the highest common factor of l and 14?
14
Let z(s) = 3*s**3 - 21*s**2 + 2*s - 12. Let y be z(7). Let h be (-32)/(-14) + (-2)/7. Calculate the highest common divisor of y and h.
2
Let c = -4 - -8. Suppose 3*r + 3*b = -15, 7 = -c*r + 5*b + 23. Let n = 5 - r. Calculate the greatest common factor of n and 6.
6
Suppose 20 = 4*w - 20. Let a = -4 + w. What is the highest common factor of a and 15?
3
Let v(m) = 36*m - 2. Let r be v(4). Let w = -98 + r. Calculate the highest common divisor of 4 and w.
4
Let q be 3/2*(-8)/3. Let g be (2/q)/(2/(-120)). What is the greatest common divisor of g and 15?
15
Let s(u) = -u**2 + 14*u + 2. Let q be s(14). Let m = q - -9. Calculate the greatest common factor of 77 and m.
11
Suppose -3*k = -4*q - 23, 2*k - 19 = -3*q - 3*k. Let u be 1/q - 178/(-4). Suppose -s + 0 = -u. What is the greatest common factor of 4 and s?
4
Suppose 5*n - 19 = -159. Let d = -15 - n. Let y = d - -31. Calculate the greatest common divisor of y and 11.
11
Let v = 56 - 34. Calculate the highest common factor of v and 110.
22
Suppose -6 = 4*s + l - 15, 3*s = -5*l - 6. Calculate the highest common factor of 2 and s.
1
Let s(j) = 9*j**2 - 8 + 3*j + j**3 - 4*j + 0*j**2. Let p be s(-8). What is the highest common factor of 8 and p?
8
Let w be 25 + (1/(-2))/(1/(-2)). Calculate the greatest common divisor of 221 and w.
13
Let o(h) = -9*h + 1. Let w be (-1)/1 - 2/1. Let p = w + 1. Let y be o(p). Calculate the highest common factor of y and 57.
19
Let p = 176 + -148. Suppose -l - 3*l + 781 = -j, -4*l + 772 = -4*j. Calculate the greatest common divisor of l and p.
28
Suppose -2*l + 2*s - 8 = -2*s, -l + 3*s - 9 = 0. Let u be 42*(-1 - (-9)/l). Calculate the highest common factor of u and 231.
21
Let o(j) be the second derivative of j**5/20 - j**4/12 - j**2 - 2*j. Let s be o(3). Let y = s + -9. What is the highest common factor of y and 49?
7
Let m(k) = k**2 + k. Let c be m(-2). Suppose 5*n - r - 29 = 0, -n + 5*r = -c*n - 15. Suppose n*b + 18 = 68. What is the greatest common divisor of b and 90?
10
Let d(f) = 10*f**3 + 2*f**2 - f - 1. Let a be d(1). Let u(h) = 2*h**3 - 3*h**2 + 2*h + 2. Let s be u(4). What is the highest common divisor of a and s?
10
Let s(d) = -3 + 4*d - 2 + d - d. Let g be s(4). Suppose 0 = -q - 3 + g. What is the greatest common divisor of 24 and q?
8
Let q = -9 + 13. Suppose 4*z + 0*z - 97 = c, q*c = -3*z + 68. Calculate the highest common factor of z and 192.
24
Let t = -2 + 50. Let r be 1/((-5)/16)*-5. What is the highest common factor of t and r?
16
Let p(t) = t**2 - 13*t + 3. Let a be p(13). Let z(b) = b**3 - 11*b**2 + 11*b - 7. Let k be z(10). What is the highest common divisor of a and k?
3
Let j be (4/(-2) - -3) + 1. Let s be j - (-1)/((-1)/9). Let y(f) = -6*f - 8. Let c be y(s). What is the highest common divisor of 17 and c?
17
Suppose -8 = 4*p - 2*m, -5 = -4*p - 3*m + 7. Suppose -2*n - 6 + 0 = p. Let v be 33*((-4)/n + -1). What is the greatest common divisor of v and 33?
11
Suppose u = 17 + 13. Suppose i - 40 = 3*k + 50, 3*i - 125 = 4*k. Let j = k - -41. What is the highest common factor of u and j?
6
Suppose 0 = -6*r - 0*r - 30. Let t(x) = 2*x**2 - 3*x + 1. Let g be t(3). Let f = r + g. What is the greatest common divisor of 2 and f?
1
Let g = -24 - -14. Let n be -35*(46/g + 1). Calculate the highest common factor of 18 and n.
18
Suppose -14 = -3*q + z + 11, -4*q - 4*z = -44. Calculate the greatest common factor of q and 1.
1
Suppose 5*z + 2 - 32 = 0. Let a = z - -24. Calculate the greatest common divisor of 15 and a.
15
Let a(g) = -g**2 - 14*g - 16. Let s be 164/(-14) - 6/21. Let h be a(s). Let d = -8 - -12. What is the greatest common divisor of h and d?
4
Suppose 0*g = -3*g + 2*p + 96, -4*g + 121 = -5*p. What is the highest common factor of 17 and g?
17
Let y(i) = i**2 + 4*i + 5. Let m(o) = o - 5. Let q be m(0). Let a be y(q). Let r(l) = 6*l - 28. Let s be r(5). Calculate the highest common factor of s and a.
2
Let g(l) = -16*l + 96. Let r be g(0). Calculate the highest common divisor of r and 72.
24
Let s(t) = -6*t - 1. Let n be s(-4). Suppose 5*z + n = 148. Let l = 240 + -235. Calculate the greatest common factor of z and l.
5
Suppose 4*j + 0*j - 8 = 0, 0 = -3*x + 2*j + 2. Suppose -x*w + 6*w = 396. What is the greatest common factor of w and 11?
11
Suppose -46 - 2 = -3*m. What is the greatest common factor of m and 4?
4
Let d = 6 + -2. Let z be 1*d*(-6 + 3). Let c be ((-9)/6)/(2/z). What is the highest common divisor of 9 and c?
9
Suppose -2*z + z + 2 = 0. Suppose -3*l - 472 = -8*l - 4*d, z*l - 5*d - 202 = 0. Calculate the greatest common factor of l and 24.
24
Let c = 20 + -37. Let x be (1 - 0) + (2 - c). Let q(f) = 8*f. Let g be q(1). Calculate the highest common factor of x and g.
4
Let s(y) = y**2 - 6*y - 3. Let f be s(5). Let z = -21 - f. Let k = 22 + z. Calculate the greatest common factor of k and 63.
9
Let x = -3 - -14. Suppose 0*j = 3*j - 6, -66 = -n + 2*j. Suppose -2*k - 4 + n = 0. Calculate the greatest common factor of x and k.
11
Let r be (-8)/32 + 1/4. Suppose r = w + b - 35, 29 = 5*w - 4*b - 101. What is the highest common factor of w and 45?
15
Suppose -v + 2*z = -44, -4*z = v - 74 + 6. Calculate the greatest common divisor of v and 78.
26
Let i = -8 + 14. What is the highest common divisor of i and 6?
6
Suppose 3*v + 13 - 187 = -4*f, 5*f - 2*v - 206 = 0. Suppose d - f = -2*d. Calculate the greatest common divisor of 21 and d.
7
Suppose -2*h + 85 = 3*h. Let j = -13 + h. What is the highest common divisor of j and 36?
4
Suppose 3*o +
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(27) + sqrt(3) - sqrt(3) - (sqrt(3) - -1*(sqrt(3) + sqrt(12)))**2.
-47 + 7*sqrt(3)
Simplify 0 + sqrt(26)/sqrt(8) + -4.
-4 + sqrt(13)/2
Simplify (sqrt(13) - -1*sqrt(637))*3 + -5.
-5 + 24*sqrt(13)
Simplify 2 + sqrt(228)/(sqrt(12)*-2).
-sqrt(19)/2 + 2
Simplify 2 + sqrt(50) + sqrt(18)/(1*sqrt(9)) + sqrt(2).
2 + 7*sqrt(2)
Simplify -4 + -1 + (sqrt(44) + -3)**2.
-12*sqrt(11) + 48
Simplify (0 + sqrt(833) + -1)**2 - ((sqrt(833) + -1 - sqrt(833)) + -5).
-14*sqrt(17) + 840
Simplify (sqrt(171) - ((-1 + sqrt(171))*2)**2)*-1.
-27*sqrt(19) + 688
Simplify (sqrt(6)/sqrt(2))**2 + 1 + (sqrt(3) + sqrt(3) + -1)**2 + 0 + sqrt(3).
-3*sqrt(3) + 17
Simplify 6*(4 + 2*(sqrt(17) + -1 - sqrt(17))).
12
Simplify ((0 + 2*sqrt(11))*2 + (-6*(sqrt(11) + -1 + sqrt(11)) + sqrt(11))*-6)**2.
-5040*sqrt(11) + 55196
Simplify -1 + sqrt(190)/(sqrt(10) + (sqrt(10) - 1*sqrt(360))).
-sqrt(19)/4 - 1
Simplify (-1 + (-1 + sqrt(76))**2)*-2.
-152 + 8*sqrt(19)
Simplify 1 + ((-3 + sqrt(637))*2)**2.
-168*sqrt(13) + 2585
Simplify (-1*(sqrt(24)*-2)/sqrt(8))**2*-5.
-60
Simplify sqrt(336)/(sqrt(192)*3).
sqrt(7)/6
Simplify 1 + sqrt(150)/(sqrt(108)/sqrt(4)).
1 + 5*sqrt(2)/3
Simplify (sqrt(252)/(sqrt(36)/sqrt(4)))/(1*sqrt(100)).
sqrt(7)/5
Simplify ((sqrt(220)/sqrt(4) - sqrt(55))*-1)/((sqrt(405) + sqrt(405) + (sqrt(405) - 2*sqrt(405)) - sqrt(405)) + sqrt(405) - sqrt(5)).
0
Simplify 5*(-4 + sqrt(931)*1 + sqrt(931) + 1 + -5)**2.
-1120*sqrt(19) + 18940
Simplify 4*(2*sqrt(57))/sqrt(3).
8*sqrt(19)
Simplify ((sqrt(121) - (sqrt(121) - sqrt(121)*1))*1)/(-3*sqrt(44)).
-sqrt(11)/6
Simplify (2 + 2*(sqrt(19) + 1))*-3.
-6*sqrt(19) - 12
Simplify 3*(sqrt(13) + ((sqrt(1872)*2)**2 - sqrt(13))).
22464
Simplify (1 + sqrt(1331)*-5 + sqrt(1331) + 2)**2.
-264*sqrt(11) + 21305
Simplify (sqrt(189)*3*-5)/sqrt(3).
-45*sqrt(7)
Simplify (-2*(sqrt(75) - (-2*sqrt(75) + sqrt(75))))**2 + (6*1*sqrt(75))**2.
3900
Simplify ((sqrt(7) - (sqrt(112) + -4)) + sqrt(7) + -2*sqrt(1008) + sqrt(1008) + sqrt(7))*-5.
-20 + 65*sqrt(7)
Simplify (-1*(sqrt(44) + sqrt(704)))/(sqrt(4) - (sqrt(4) - sqrt(16)/sqrt(4)*-4)).
5*sqrt(11)/4
Simplify (sqrt(165)/(sqrt(11) - sqrt(44)))/sqrt(432).
-sqrt(5)/12
Simplify (sqrt(56) - (sqrt(56) - (sqrt(504)*6 - sqrt(56))))/(sqrt(1152)/sqrt(4)).
17*sqrt(7)/6
Simplify (6*(sqrt(684)*-4 + sqrt(684)) + sqrt(684) + sqrt(684))**2*-1.
-175104
Simplify sqrt(52) + 0 + (sqrt(130) - sqrt(130)*1)/sqrt(10).
2*sqrt(13)
Simplify sqrt(15)/(2*sqrt(3) - sqrt(3)) - sqrt(5) - (sqrt(15) - sqrt(75)/sqrt(5))/sqrt(3).
0
Simplify (3*-2*((sqrt(121)*2)/sqrt(11) - sqrt(11)))**2.
396
Simplify sqrt(637) - ((1 + sqrt(637) - sqrt(637)) + sqrt(637)) - (1*sqrt(143))/sqrt(11).
-sqrt(13) - 1
Simplify (1*sqrt(2057)*-1)**2.
2057
Simplify -1*sqrt(3) + -3 - sqrt(12)/(sqrt(16)/sqrt(4)).
-2*sqrt(3) - 3
Simplify 2 + sqrt(68)/sqrt(4) + ((sqrt(17) - sqrt(17)*3) + -4)**2.
17*sqrt(17) + 86
Simplify ((sqrt(2) + -2 + sqrt(32) + sqrt(4)/(1*sqrt(2)))*-1)**2 + -3.
-24*sqrt(2) + 73
Simplify 1*((sqrt(10)/sqrt(2) + 3)**2 + sqrt(5) + 2).
7*sqrt(5) + 16
Simplify 4*(sqrt(1900) - -2*sqrt(1900))**2*-5.
-342000
Simplify -1*((sqrt(432) + -3)**2 + sqrt(432) + 2).
-443 + 60*sqrt(3)
Simplify (-1*sqrt(40))/sqrt(5).
-2*sqrt(2)
Simplify ((-2*sqrt(2)*2 - sqrt(6)/(sqrt(12)/sqrt(4))) + sqrt(6)/sqrt(3) + -5 + sqrt(14)/sqrt(112))**2.
75*sqrt(2)/2 + 425/8
Simplify 6*(sqrt(7) + (1 + sqrt(448) - sqrt(448)))**2 + sqrt(448) + -1.
47 + 20*sqrt(7)
Simplify ((sqrt(13) + -1)**2*2 + 1)*-6.
-174 + 24*sqrt(13)
Simplify (-1*sqrt(140))/((sqrt(245)/sqrt(5))/sqrt(7)).
-2*sqrt(5)
Simplify (2*2*sqrt(76) + sqrt(76))/sqrt(4).
5*sqrt(19)
Simplify -3 + (sqrt(605) + -1)**2.
-22*sqrt(5) + 603
Simplify -4*2*(-3 + -1 + sqrt(2)).
-8*sqrt(2) + 32
Simplify ((sqrt(252) - sqrt(21)/sqrt(3)*3)*6)**2.
2268
Simplify (1 + sqrt(75) + (sqrt(75) - sqrt(75)*1) + 4 + sqrt(75))**2.
100*sqrt(3) + 325
Simplify sqrt(208) + -1*(sqrt(208) + 0)**2.
-208 + 4*sqrt(13)
Simplify (sqrt(18)/(sqrt(12) - sqrt(3)))/(sqrt(96)/sqrt(12)).
sqrt(3)/2
Simplify -2*((sqrt(32))**2 + sqrt(2))*1 - (sqrt(22)/(-1*sqrt(11)) + -5*(0 + sqrt(2))).
-64 + 4*sqrt(2)
Simplify (-2*(1 + (sqrt(275) - sqrt(275)*1) - sqrt(275)) + 1)**2.
-20*sqrt(11) + 1101
Simplify -4*(sqrt(17) - (sqrt(17) - (sqrt(17) - sqrt(136)/(sqrt(64)/sqrt(8))))) + 4.
4
Simplify sqrt(25)/(sqrt(20)/sqrt(4)) - ((sqrt(5) - (sqrt(5)*1 - sqrt(5))) + -2).
2
Simplify ((sqrt(5) - (3 + sqrt(80)) - sqrt(5) - sqrt(50)/(sqrt(20)/sqrt(2) + sqrt(10)))*-4)**2.
432*sqrt(5) + 1764
Simplify ((sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(171)))*-6)*4)**2.
109744
Simplify (sqrt(10) + (sqrt(10) - (sqrt(10) - (sqrt(490) - (sqrt(490) - -1*sqrt(490))))) + sqrt(10) - sqrt(10))/((sqrt(66)/sqrt(3))/sqrt(11)).
-6*sqrt(5)
Simplify 2*(2*sqrt(117) - (-3 + sqrt(13)*-2)).
6 + 16*sqrt(13)
Simplify ((sqrt(320) - (sqrt(320) - (sqrt(320) + -4*sqrt(320)))) + 1*(5 + sqrt(5)))**2.
-230*sqrt(5) + 2670
Simplify ((sqrt(6) - (sqrt(6) + sqrt(12)/(sqrt(2)*1))) + sqrt(6))/((sqrt(14)*3)/sqrt(7)).
0
Simplify (sqrt(30)/(-2*sqrt(6)) + -4)*4.
-16 - 2*sqrt(5)
Simplify (1*sqrt(77))/sqrt(7) - -1*sqrt(176).
5*sqrt(11)
Simplify 2 + sqrt(18) + 1.
3 + 3*sqrt(2)
Simplify -5*(-4 + sqrt(52))**2.
-340 + 80*sqrt(13)
Simplify 1*((sqrt(931) + sqrt(931) + 0)**2 + -2 - sqrt(931))*-4.
-14888 + 28*sqrt(19)
Simplify (-5*sqrt(170)/((sqrt(60)/sqrt(3))/sqrt(2)))**2.
425
Simplify sqrt(252)*-1 + sqrt(7) + sqrt(7) + -1.
-4*sqrt(7) - 1
Simplify 0 + -6*sqrt(55)/sqrt(5) + (sqrt(99) - (-1 + sqrt(99)))**2.
-6*sqrt(11) + 1
Simplify 4 + -2*(sqrt(720) + 1)**2.
-1438 - 48*sqrt(5)
Simplify (sqrt(2) - (-3 + sqrt(10)/sqrt(5) + sqrt(2)) - sqrt(2) - sqrt(2) - sqrt(32)*-6)**2*1.
126*sqrt(2) + 891
Simplify (6*sqrt(80) - sqrt(5)) + -4 + 4.
23*sqrt(5)
Simplify -3 + sqrt(1100) + (2*sqrt(1100))**2 - -1*(sqrt(1100) - (1 + sqrt(1100))).
10*sqrt(11) + 4396
Simplify -2 + sqrt(5) + 3 + (sqrt(35) + sqrt(315)/sqrt(9))/sqrt(7).
1 + 3*sqrt(5)
Simplify sqrt(77)/(sqrt(77)/(sqrt(28)/sqrt(4))) + (5*2*sqrt(1008))**2.
sqrt(7) + 100800
Simplify ((sqrt(363) - ((sqrt(363)*1 + sqrt(363) - sqrt(363) - sqrt(363) - sqrt(363)) + sqrt(363)))*5)**2.
9075
Simplify ((sqrt(4) - sqrt(4)*1)*-5)/((sqrt(8)/sqrt(4) + sqrt(2))*-6)*-1.
0
Simplify -1*(1 + sqrt(1573))**2 - sqrt(1573).
-1574 - 33*sqrt(13)
Simplify (4 + (sqrt(832) + -2*sqrt(832)*-4 + sqrt(832) - sqrt(832)))**2*-6.
-404448 - 3456*sqrt(13)
Simplify ((sqrt(98)/sqrt(7))/sqrt(7) - (sqrt(2) + 4*(sqrt(2) + 0)))**2.
32
Simplify (sqrt(190) + sqrt(190) + (sqrt(190) - (3*(sqrt(190) + (sqrt(190) - (sqrt(190) - sqrt(190)*3))) - sqrt(190))))/(sqrt(10) + -2*sqrt(40)/sqrt(4)).
8*sqrt(19)
Simplify sqrt(18)/(sqrt(36)/sqrt(6)) + ((sqrt(3)*-4)**2*-2 - sqrt(3)).
-96
Simplify (-2*(sqrt(19) + (sqrt(19) + 0)*5 - sqrt(19)))**2.
1900
Simplify ((-2*sqrt(245))**2 + 1 - sqrt(245)) + sqrt(245).
981
Simplify (sqrt(63)/(sqrt(3)*2))/(sqrt(27)*-2).
-sqrt(7)/12
Simplify (-4*(sqrt(102) + sqrt(102)*2 + sqrt(102) + sqrt(102)))/sqrt(6) + -5.
-20*sqrt(17) - 5
Simplify 6*((sqrt(33)/sqrt(44))**2 - ((0 + sqrt(363))**2 - sqrt(363))).
-4347/2 + 66*sqrt(3)
Simplify ((5*(2*sqrt(66) - sqrt(66)) + sqrt(66) + sqrt(66))/(sqrt(96) + -2*sqrt(96)))**2.
539/16
Simplify (sqrt(15) - (sqrt(15) + 3*(sqrt(45)/sqrt(3) + sqrt(15))))/sqrt(3).
-6*sqrt(5)
Simplify (0 + sqrt(19)*4)*-3.
-12*sqrt(19)
Simplify (-4 + (1*sqrt(1900) - sqrt(1900)) - ((sqrt(1900)*-1 - sqrt(1900)) + 3))**2.
-280*sqrt(19) + 7649
Simplify (sqrt(475))**2*-2 - (sqrt(171)*3 - sqrt(171) - sqrt(19)).
-950 - 5*sqrt(19)
Simplify (sqrt(320)*1 + 2)**2 - sqrt(320) - ((sqrt(320) + sqrt(320) + (1*sqrt(320) - sqrt(320)))*1 + sqrt(320))**2.
-2556 + 24*sqrt(5)
Simplify -3*((sqrt(26)/sqrt(2)*5 + -1*sqrt(52))**2 + 5).
-366
Simplify sqrt(132)/((3*sqrt(144))/sqrt(12) - sqrt(12)).
sqrt(11)/2
Simplify sqrt(21)/((1*sqrt(21))/sqrt(7)).
sqrt(7)
Simplify (sqrt(102)/sqrt(3)*6)/(sqrt(2) + sqrt(10)/(2*sqrt(5) + sqrt(5))) + -3.
-3 + 9*sqrt(17)/2
Simplify (sqrt(57)/sqrt(3)*-1)**2*2.
38
Simplify ((sqrt(11) + sqrt(22)/sqrt(2) + -4)*-6*-4)**2.
-9216*sqrt(11) + 34560
Simplify -4 + (-3*-2*sqrt(104))/(1*sqrt(16)/sqrt(2)).
-4 + 6*sqrt(13)
Simplify (6*sqrt(99))**2*1 + -3.
3561
Simplify (-5 + sqrt(117)*-3)**2.
90*sqrt(13) + 1078
Simplify ((5 + 2*sqrt(425) + sqrt(425))*6)**2.
5400*sqrt(17) + 138600
Simplify -6*sqrt(19)*-3*-4.
-72*sqrt(19)
Simplify (-1*4*(sqrt(272) + -4 + sqrt(272)))**2.
-1024*sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 3*m + 4 = 19. Suppose 3*r + 18 = m*r. Let t = r - 6. Solve -2 = l - t*l for l.
1
Let q be (16/20)/(4/10). Solve 11 = q*z + 3 for z.
4
Let s be (-3)/9*-1 - (-150)/9. Suppose -o = 1 - 5. Solve -s - 3 = o*k for k.
-5
Let o(d) = -d**3 - 3*d**2 + 2*d - 2. Let c be o(-4). Solve c = 4*j + 2 for j.
1
Suppose 23 - 6 = x. Suppose x = -2*u + 5*d, 0 = 3*u - 0*u + 3*d - 27. Suppose 0 = k + 5*c - 30, 3*k + u*c - 30 = k. Solve 3*q = k*q - 10 for q.
5
Let i = -196 - -197. Solve 4*u = i - 5 for u.
-1
Let w = 60 + -57. Suppose 5*t + 2 = 27. Solve 2*s + w*s = -t for s.
-1
Let o(m) = m**3 - 5*m**2 + 1. Let t be o(5). Suppose -v + 3 = t. Solve 3*k - 7 = v for k.
3
Suppose -4*h = -h - 12. Solve b - 3*b - h = 0 for b.
-2
Let j(b) = 10*b + 15*b**2 + 0*b**3 + 5*b + b**3 + 14. Let y be j(-14). Solve y = 4*p - 0*p - 20 for p.
5
Suppose 6 - 9 = 3*t - 3*y, 0 = 2*t + 5*y - 12. Suppose 2*r + 1 = 5. Solve -r*g + g = -t for g.
1
Suppose 2*y - 12 = -0. Suppose 0 = y*m - m - 10. Solve -4*r + m*r - 6 = 0 for r.
-3
Let n(j) = j**2 - 5*j. Let z be n(5). Solve 4*o = -z - 4 for o.
-1
Suppose -b = -4*z - 0*b + 16, -b = z + 1. Suppose -4*t + 29 = 5. Solve 0*h = z*h - t for h.
2
Suppose -4*o - 100 = -9*o. Suppose -l + 3*l = 5*k - o, -5*l + 20 = 5*k. Solve -k = r - 5 for r.
1
Suppose -4*x = -8*x. Solve 3*j + j - 20 = x for j.
5
Let v = 0 - 0. Suppose -3*y + 19 = 7. Solve v*f = y*f for f.
0
Let f(v) = 4*v**3 - v**2 - 2*v + 2. Let o be f(1). Solve -o*g = -5 - 7 for g.
4
Suppose 5*n + 21 - 1 = 0. Let b be (-2)/n*(-4 - -6). Solve 2*p = 3*p - b for p.
1
Let d = -2 + 1. Let h be (1 - (2 + -2)) + d. Suppose 0*n + 3*n = h. Solve -y = -n*y - 1 for y.
1
Let t = -4 + 9. Solve -t*n + 2 = -3 for n.
1
Let c be ((-16)/(-4) - 3)*(-2 - -2). Solve w = 1 - c for w.
1
Let w = -8 - -28. Solve w = -5*a - 0*a for a.
-4
Let t = -5 - -6. Let c = 1 + -1. Let z = t + c. Solve -z = -m + 2*m for m.
-1
Suppose 0 = 2*w + 6, -5*p + 15 + 15 = -5*w. Suppose 0 = 3*i + 5 + 10, 0 = -p*q - 4*i - 17. Let u be -4 + 1 + q - -11. Solve -5*t - u = 1 for t.
-2
Let z be 1/(-1)*-2 + 8. Let d = -7 + z. Solve 3*u - d = 2*u for u.
3
Let r(m) = -m**2 - 12*m - 15. Let x be r(-10). Solve -i + 2*i = -x for i.
-5
Let f(z) = 5*z**3 - z**2 + 2*z - 1. Let x be f(1). Suppose -x*v + 12 + 3 = 0. Suppose -8 = -h - v*h. Solve s + h*s = -9 for s.
-3
Suppose -t + 3*d = 0, -5*d - 4 - 56 = 5*t. Let j = t + 10. Solve -2*m + j = -m for m.
1
Let h(x) = 3*x + 2. Let f be h(0). Suppose f*n = -2*p - 2*p, 0 = -4*p. Solve n = -5*i - 2 + 17 for i.
3
Let i(d) = -d + 6. Let g be (12/18)/((-2)/(-9)). Let j be i(g). Solve -f = j*f + 20 for f.
-5
Let a(m) = 5*m**3 + 2*m**2 - m. Let t be a(1). Solve 0 = -4*h + t - 2 for h.
1
Suppose a - 5*t + 17 = 0, -7 = 3*a + t - 20. Solve -2*x = -5*x - a for x.
-1
Let b = -33 + 37. Solve 0 = b*d - 3*d + 3 for d.
-3
Let b be 0 + (-270)/(-65) + 2/(-13). Solve 0 = -b*i - 11 - 5 for i.
-4
Let i = -1 + 3. Solve i*v - 3 + 7 = 0 for v.
-2
Suppose 3*a - 11 - 4 = 0. Solve -a*g - 3 = 17 for g.
-4
Let d(m) = -4*m + 2*m + 3*m - 2*m + 3*m**2. Let z be d(-1). Let i = 40 + -23. Solve -i + 1 = z*b for b.
-4
Let p be 4/8*(-1 - -7). Let v = 11 + -7. Suppose -v*a = 16, -p*s - 2*a = -0*s + 2. Solve -s*q - 20 = -7*q for q.
4
Suppose 3*b = -0*b - 12, 0 = -3*v + 4*b + 79. Solve -4*u + 5 - v = 0 for u.
-4
Let n(o) = -o**2 + 6*o - 3. Let w be n(5). Solve 5 + 1 = -w*h for h.
-3
Let x = 36 + -23. Let k = x + -7. Suppose -k - 4 = -4*r + 3*c, 0 = 2*r - 4*c - 10. Solve -r = -m + 4 for m.
5
Suppose 15 = -r - 3. Suppose -w - w - 16 = 0. Let t = w - r. Solve -5*p + t = -5 for p.
3
Let u(y) = -y**2 - 6*y - 4. Let a be u(-3). Solve 0 = -a*d - 4 - 6 for d.
-2
Suppose 3*t = -5*g + 18, 3*g + g - 8 = 4*t. Suppose -l = 2*l - 4*r - 76, -g*l - 4*r + 68 = 0. Solve -l + 9 = -3*u for u.
5
Let n = 12 + -8. Solve -y = -n*y for y.
0
Suppose 4*m - 2*m = 12. Let p(z) = -z**3 + 5*z**2 + 5*z + 7. Let c be p(m). Solve -c = v + 3 for v.
-4
Suppose 0 = l + t, 4*l - 5*t - 49 = -13. Suppose 3*p + m - 4*m + 9 = 0, -3*m = p - 9. Let h = 5 - p. Solve -l*r - 15 = h for r.
-5
Suppose a - 33 = -2*a. Solve -1 + a = -2*r for r.
-5
Let c = 21 - 17. Solve 4 = -3*k + c*k for k.
4
Let p = -109 + 112. Solve p*b + 2 = 4*b for b.
2
Let s(y) = -3*y - 21. Let g be s(-8). Solve -g*w + 2*w + 5 = 0 for w.
5
Let l be -8*((-14)/8 + 1). Suppose -21 - l = -i. Suppose 0 = 3*a + 6 - i. Solve 5 = 4*c - a for c.
3
Let j = 6 + -3. Suppose -j = -4*h + 17. Solve 5*c + 0 = -h for c.
-1
Suppose 5*b + 3*j = 53, -42 = -4*b - j - j. Suppose -2*k - 5*w + b = -23, 2*k = -4*w + 28. Solve 0 = -k*n - 0*n - 8 for n.
-2
Let y(b) be the third derivative of b**4/8 - 4*b**3/3 - 7*b**2. Let t be y(4). Solve -2 = -t*k + 6 for k.
2
Suppose -2*y + 7 = -9. Let c = -3 + y. Solve c = -5*d - 0 for d.
-1
Let z be (-32)/(-24) + 4/6. Solve 6*i - 16 = z*i for i.
4
Let i(g) = g**3 + 2 - 2*g - 1 + 1 - 2*g**2. Let j be i(3). Solve -j*y + 0*y = 5 for y.
-1
Suppose 4*l - 72 = 4*m, l + 3*m - 28 + 6 = 0. Suppose -3*o - 2*y + 15 = 0, 2*o - 11*y + 3 = -8*y. Solve o*x + 4 - l = 0 for x.
5
Suppose 4*t + 149 = 25. Let a be (-6)/(-33) - t/11. Solve -2*f + 1 + a = 0 for f.
2
Suppose 2*o + 10 = -2*w, 2*o - 10 = -0*o + 2*w. Solve -p + 4*p = o for p.
0
Suppose 2*o - 36 = -4*i, -4*o - 13 = -i - 4. Let h(n) = -n - 2. Let j be h(-4). Solve -q - i = j*q for q.
-3
Let k = -63 - -65. Solve 0 = -k*u - 6 + 2 for u.
-2
Let f be 3/5 + (-8)/(-20). Let c be 4/(-16) - (-2)/8. Solve f + c = -b for b.
-1
Let k = 3 - 10. Let q = -4 - k. Solve 1 + q = p for p.
4
Suppose 5*d = 59 - 14. Solve d = 4*p - 11 for p.
5
Suppose 0 = 3*a + 1 - 4. Solve -1 = -y + a for y.
2
Let b(f) = 3*f**3 - 3*f**2 - 2*f + 4. Let i be b(3). Let l = -37 + i. Solve 2*u + l = -u for u.
-5
Suppose 3*g = -2*r + 19, -3*g + 12 + 9 = 3*r. Let j be 0 + -2 + 0/1. Let c be j - (0 - -1 - 5). Solve -c*s + 2 = -r for s.
2
Let y(i) = -i - 3. Let o(q) = -2*q - 5. Let g(h) = 6*o(h) - 13*y(h). Let m be g(-9). Solve -6 = -m*n - 2*n for n.
3
Let a(p) = p**2 - 12*p + 12. Let q be a(11). Solve 0 = o - q for o.
1
Let n be 3 - ((-6)/2)/3. Let s = n + 1. Solve -s*d = -10 - 5 for d.
3
Let m(c) = -c**2 - 7*c. Let h be m(-6). Let d(a) = 1. Let x(p) = -2*p + 8. Let g(o) = 5*d(o) - x(o). Let v be g(h). Solve -1 = -5*n + v for n.
2
Let p(s) = -5*s**3 - 6*s**2 + 6*s + 1. Let z(h) = -h**3 - h**2 + h. Let b(n) = 2*p(n) - 11*z(n). Let y be b(2). Solve y*g - 3*g - 5 = 0 for g.
1
Suppose i + i = -i. Solve r + r = i for r.
0
Suppose 3*d = 5 + 1. Suppose d*v = v. Let z be (-13 - -9)/(-2*1). Solve j + z*j = v for j.
0
Let f = 61 + -35. Suppose f = 5*r - 4. Solve 0 = o - r*o for o.
0
Suppose 4*q - 16 = 4*m, 0*m = -q + 5*m + 16. Suppose 0 = 4*p - 2*a + 2, p + 2*a - q - 1 = 0. Solve p = 3*r - 0 - 6 for r.
2
Let r be (-87)/27 - -3 - 140/(-63). Solve -r + 1 = a for a.
-1
Suppose 0 = 3*a - 6. Solve -o + 2*o - a = 0 for o.
2
Let b(q) = q**2 - 5*q - 6. Let d be b(7). Solve d*f = 4*f - 20 for f.
-5
Let w = 18 - 13. Let c = -2 + w. Suppose 4*v - 16 = 2*t, 2*v - t - 3 = v. Solve -c*d - v = 2*d for d.
-1
Let k be (-6)/(-4)*(-24)/(-18). Suppose 8 = 3*w - 1. Solve w*r = k*r for r.
0
Suppose -4*i + 7 = -1. Let y be (-12)/10*5/(-2). Solve -i*k = y - 7 for k.
2
Suppose -c + 0*c = -2*c. Solve 2*g + 2 = -c for g.
-1
Let r = 8 - -5. Solve 2 = 5*m - r for m.
3
Let l(a) = 2*a - 14. Let i be l(9). Solve 0 = i*h - 2*h for h.
0
Let c(d) = -d + 12. Let p be c(7). Suppose p*r - r = 12. Suppose -m + 15 = -r*w + 4*m, -3*w + 15 = 5*m. Solve w*t + 8 = 4*t for t.
2
Let n(y) = y**2 + 6*y + 7. Let w(i) = -6*i**2 + 2*i - 1. Let k be w(1). Let t be n(k). Solve t*p = p for p.
0
Let p(v) = -v**2 - 10*v - 12. Let l be p(-8). Solve l - 5 = -y for y.
1
Let r = -24 + 26. Solve -r*o + 0 = -10 for o.
5
Suppose 7*v = 4*v + 3. Solve -3*i - 11 - v = 0 for i.
-4
Let i be ((-2)/(-3))/(4 + 272/(-72)). Solve -q + i = -2 for q.
5
Let b = -24 - -24. Solve -6*x + 3*x + 12 = b for x.
4
Let u = -9 + 11. Solve -4*t + u*t = -6 for t.
3
Let b(g) = -g**2 + 4*g - 4. Let t be b(2). Suppose 2*q - 22 = -4*p, 3*q + 2 = 5*q. Solve t = 6*m - m + p for m.
-1
Let c(d) = d**2 - d - 1. Let f be c(4). Let w = 15 - f. Suppose w*t = t + 6. Solve t*z = -3*z - 10 for z.
-2
Suppose 4 = 3*x - a, 4*x + 5*a = a - 16. Solve x = -f - 4*f - 25 for f.
-5
Suppose u - 15 + 15 = 0. Solve 5 = -u*s - s for s.
-5
Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
r b.
-1
Solve 4*t - 6*m - 28 = -10*m, 8 = 2*t - m for t.
5
Solve 0 = -3*k - 161 + 164, 3*k = -5*y + 3 for y.
0
Solve 22 = -3*i + 12*j + 2*j, 0 = -j + 2 for i.
2
Solve -5*f + 4*k - 73 = -68, k - 10 = 3*f for f.
-5
Solve 4*o = -h - 1 + 5, -4*h + 5*o + 16 = 0 for h.
4
Solve q - 2*w = 6, 0*w = q - 3*w - 10 for q.
-2
Solve -5*t + 14 = 2*m - 2, 0 = -2*t + 4 for m.
3
Solve 0 = -2*q - 2*r + 6, -5*r = 20 - 10 for q.
5
Solve 4*c + 394 = -2*p + 372, -5 = 2*c - p for c.
-4
Solve -2*h - 7 = 5*p, 14*h - 11*h - 12 = 0 for p.
-3
Solve -w + t = -45 + 47, 0 = 4*w + 5*t - 10 for w.
0
Solve 3*z - 178*o = -175*o + 3, 0 = 2*z + 4*o + 22 for z.
-3
Solve z + 14 = 3*z - 4*s, 3*z - 13 = 2*s for z.
3
Solve 3*j - 3*f = 21, -42*j = -38*j - 5*f - 33 for j.
2
Solve -5*s = -3*h, 62*s + 4*h - 29 = 59*s for s.
3
Solve -k + 10 = -4*j, 5*j + 0*j = k - 13 for k.
-2
Solve 2*q = 8, 2*x + 3*q = -0*x + 6 for x.
-3
Solve 3 + 1 = w + d, 5*w - 21 = -4*d for w.
5
Solve f + 4*w - 6 = -9, 3*f - 21 = 3*w for f.
5
Solve 0 = -5*l - 4*u + 16, -3*l + 7 = 3*u + 2*u for l.
4
Solve 4*d = 5*h + 3 + 7, -2*h = 4*d + 4 for h.
-2
Solve -4 = 4*y + 2*s, 3*y + 0*s - s = 2 for y.
0
Solve -10 = 4*f + 2*y, 18*f - 17*f + y = 0 for f.
-5
Solve -5*c - 13 = -3, 3*t + 2*c = -1 for t.
1
Solve -4*q - 8 = 3*b, b + 6 + 0 = -2*q for b.
4
Solve -4*i + 27*g + 16 = 23*g, 8 = 4*i + 4*g for i.
3
Solve 3*n = d - 11, -3*d = -23 + 17 for n.
-3
Solve -4*x = 3*u + 8, 4*x + 5*u + 7 + 1 = 0 for x.
-2
Solve 10 + 0 = 2*o - u, -4*u - 13 = o for o.
3
Solve 2*v - 30 = -4*h, 45 = 2*h + 2*h + 5*v for h.
5
Solve -4*c + 36 = -5*i, -4*c + i + 25 - 5 = 0 for c.
4
Solve -6 = 4*n + m, -5*n - 2*m - 3 = 3 for n.
-2
Solve -5*u - 2*w = 23, 10 = -u - u - w for u.
-3
Solve 0 = -m - 4*s - 1, s = -2*m - 1 - 1 for m.
-1
Solve 5*s + 2*d + 8 = 0, -8 = -8*s + 11*s + 2*d for s.
0
Solve 2*v + 5*n - 31 = -12, -4*v - 2*n = -14 for v.
2
Solve 4*t + 8 = 2*t, 4*m = -t + 8 for m.
3
Solve -5*w + 10 = 5*a, 0 = 5*a - 4*w + 3*w + 20 for a.
-3
Solve 4*m = -4, 12 = 4*k + 18*m - 22*m for k.
2
Solve 0 = 4*w + 3*i + 12, -6*i = -7*i for w.
-3
Solve -3*y + 5 + 3 = 4*n, n = 2 for y.
0
Solve 37*f - 8*p = 34*f + 1, 2*p = 5*f - 13 for f.
3
Solve -2*h = 3*h - 5*s - 25, 0 = h + 5*s + 25 for h.
0
Solve -4*i = 2*m + 8, 0 = -m + i + 3*i + 2 for m.
-2
Solve v - 6 = -4*f, -14*f = -10*f + 4*v for f.
2
Solve -7*x + 11*x - 3*b + 19 = 0, -x - 2*b = 2 for x.
-4
Solve -3*o + 3*h + 12 = o, o + 5*h - 3 = 0 for o.
3
Solve 6 - 2 = -2*o - 3*i, 3*o + 4*i + 6 = 0 for o.
-2
Solve 5*r + 20 = 4*z, -78*r = 3*z - 75*r + 12 for z.
0
Solve 5*l - 11 = 2*w, 5 = l - 2*l + 4*w for l.
3
Solve -w - 3*m = -5, -4*w - w - 27 = 2*m for w.
-7
Solve -3*y + 3 = 10*o - 13*o, 0 = -4*y - 4*o - 28 for y.
-3
Solve 5*l = 2*a + 4, 5*l + 35 = -2*a + 11 for l.
-2
Solve -5*a + 48 = 2*b, 6 = -b + a + 2 for b.
4
Solve -16*w + 13 = v - 19*w, -4*v + 3*w = -25 for v.
4
Solve -2*j - 2*r + 0*r - 2 = 0, 11 = -5*j - 2*r for j.
-3
Solve -3*c - 2*r - 8 = 8, 0 = -5*c + 4*r + 10 for c.
-2
Solve -18 = -5*x + 2*s, s + 14 = 2*x + 3*x for x.
2
Solve o + 0*o + 3*c - 5 = 0, 2*o = 4*c for o.
2
Solve 0*w + d = -5*w - 18, 3*w - 3*d = 0 for w.
-3
Solve -59*i + 24 = -63*i - k, -9 = i + k for i.
-5
Solve -5*b = o + 24, 3*o + 28 = -b - 3*b for b.
-4
Solve 2*d - 3*x - 14 = 0, -41 + 19 = 5*d + 2*x for d.
-2
Solve -a = -2*p + 5, -a = -p + 2*a for p.
3
Solve 0 = -3*w - 2*v + 5 - 6, -6*w = 5*v + 7 for w.
3
Solve 0*z + 2*z - 5*r = 20, 0 = -5*z - 2*r - 8 for z.
0
Solve 1 = c - d, 9 = -3*c + 7*c + d for c.
2
Solve u = l - 2, -12 = -0*u + 3*u + 3*l for u.
-3
Solve 0 = 3*v - 9, 2*q = -2*q - 4*v - 4 for q.
-4
Solve 0 = -5*y - 5*p + 30, 0 = -2*p + 4 + 2 for y.
3
Solve -4*j - 32 = 5*g, -4*j - 6 = -6*j + 3*g for j.
-3
Solve -4*g + 14 = 2*c, 3*c = 3*g + 5 + 7 for c.
5
Solve 0 = 4*a - 2*m - m + 10, -a = 4*m - 7 for a.
-1
Solve 4*p - 4*x + 32 = 0, 3*x - 23 = -53*p + 55*p for p.
-1
Solve 0 = 4*r + 4*u, -3 = 2*r + 3*u - 4 for r.
-1
Solve 5*u + 4*w + 76 - 24 = 0, 5*u - 5*w = -25 for u.
-8
Solve 4*n - 88 = q - 100, 11*q + 28 = 4*n for n.
-4
Solve -j - 23 = -5*s, s - 6 - 1 = -j for j.
2
Solve -2*v + 4*a = -14, 4*v + 3*a + 11 = -5 for v.
-1
Solve 5*b + 18 = -3*s, 5*s + 17 = -2*b - 2*b for s.
-1
Solve -5*p = -3*l + 40, -3*l = -9*p + 5*p - 35 for l.
5
Solve -10*y + 8*y - 18 = -5*j, 5*j + 4*y + 6 = 0 for j.
2
Solve -p - 16 = -3*p + 4*m, 2*m + 12 = 2*p for p.
4
Solve 0 = -4*l - 4*i - 4, -14*l + 13*l - 1 = 2*i for l.
-1
Solve -c - 5*u + 21 = 0, -4*c - 4*u + 5 + 15 = 0 for c.
1
Solve -f - 2 = 2*j, -f - 2*j = -4*f - 14 for f.
-4
Solve -2*w - b = -10, -w - 2*w = -2*b - 8 for w.
4
Solve -i - 4*q + 6 = -6*q, i - q = 1 for i.
-4
Solve 4*b = -4*j - 4, -3*j = -0*b + b - 3 for b.
-3
Solve -89 + 104 = 2*v - 5*q, 4*v + 6 = -2*q for v.
0
Solve -8 = -4*k - 8*c + 10*c, -4*c = 0 for k.
2
Solve 0 = 2*d + 5*q - 16, 100*d - 103*d - 2*q = -13 for d.
3
Solve 2*t + 2 = 0, -5*t = 60*m - 61*m for m.
-5
Solve -5*u - 3*n - 12 = 0, -3*n = -0 + 12 for u.
0
Solve 101 - 104 = -3*f, 21 = 4*m + 5*f for m.
4
Solve -2*m - 7 = 5*a + 7, -5*a - 16 = 3*m for m.
-2
Solve -12*p + 8 = -8*p + 5*s, 5*p = 2*s - 23 for p.
-3
Solve s = 3*w + 11, -s - 3 - 2 = w for s.
-1
Solve -2*j - f - 2 - 7 = 0, 4*j - f + 15 = 0 for j.
-4
Solve 0 = 3*z + 4*h + 10, 2*h - 4 = -4*z + h for z.
2
Solve -5*i = -4*g - 4, 5*g = -3 - 2 for i.
0
Solve -3*u - 5*y = -38, 82*u - 81*u + 5*y = 26 for u.
6
Solve -2*u = 4*y - 16, 5*u - 3*y - y = -2 for u.
2
Solve -4 = 4*m - 2*o, 7*m - 19 = 8*m + 4*o for m.
-3
Solve 5*o = -2*q + 20, -q + o = 4*o - 12 for q.
0
Solve 5*g - 5*n - 11 = -46, -g - 4*n = -13 for g.
-3
Solve 0 = -2*k + 3*k - 3*b + 15, 20 = -4*k + 4*b for k.
0
Solve 3*l + v = -2, 5*l + 16*v - 20*v = 25 for l.
1
Solve 0 = -4*s - p + 5, 4*p + 3 = 2*s + 5*p for s.
1
Solve -18 = 3*i + 3*s, -2*s + 13 + 10 = -5*i for i.
-5
Solve 0*w - 4*w - 28 = -4*d, 1 = d + 2*w for d.
5
Solve 3*m = -a + 8, 5*m = -a - 11 + 23 for m.
2
Solve 0*u + 5*o = -u - 22, u - 2*o - 6 = 0 for u.
-2
Solve -4*o + 5*n - 47 = -72, o + 3*n = -15 for o.
0
Solve -5*w - 4*c = 16, -5*w + 11 = -9*w - 5*c for w.
-4
Solve -6*f + 8*f = 0, 0 = -3*r + 3*f for r.
0
Solve -4*d - 5*y + 3 = 0, -6*d + 10*d = -3*y + 5 for d.
2
Solve -5*b + 91 = -2*o + 64, -b = -2*o - 7 for o.
-1
Solve 3*r = -4*w + 8 - 6, 4*w + 8 = 2*r for w.
-1
Solve 0 = 2*p + 6, -5*c = 3*p - 5*p + 19 for c.
-5
Solve -4*f = 3*o - 11, -f + 4*f - 15 = 0 for o.
-3
Solve -3*v + 11 = k, -2*k + k = -5*v + 29 for k.
-4
Solve -8 = -5*g + 3*g + 4*i, -4*g - 2*i - 14 = 0 for g.
-2
Solve 2*z + 112*t - 107*t - 6 = 0, 2*t - 4 = 0 for z.
-2
Solve 5*h + 4 = h - 3*b, 4*b + 16 = 0 for h.
2
Solve 0 = -k + 6*q - 3*q + 18, 2*q + 22 = 4*k for k.
3
Solve -2*r = g - 9, -g + 5 + 16 = 5*r for g.
1
Solve 0 = 4*f - 2*f - 5*d + 2, -3*f + d + 10 = 0 for f.
4
Solve 22*h - 5*o = 20*h - 28, 16 = 4*o for h.
-4
Solve -3*l - 18 = 2*y - 2, -4*l - 26 = 5*y for y.
-2
Solve 0 = -3*k + t + 4, -4*k + 17 = -5*t + 6*t for k.
3
Solve -4*i = 3*o - 20, 18 = 5*i - 7 for o.
0
Solve 0 = 6*u - u - 4*h - 20, 5*u = 2*h + 20 for u.
4
Solve 0 = -4*o - 6*l + 3*l + 7, 2*o + 3*l = 11 for o.
-2
Solve -5*q - 5 = 3*n - 1, -2*n = -4*q + 10 for q.
1
Solve -3*t - 3*v + v - 7 = 0, 1 = v for t.
-3
Solve -38 = -5*v - 4*i - 55, 0 = -2*v + 3*i + 7 for v.
-1
Solve 33*v - 3*d - 31 = 29*v, -5*d - 13 = 3*v for v.
4
Solve 6 = -s - 3*l, 4*s + 8 = 4*l - 0*l for s.
-3
Solve 0*z - 2*z = 3*y - 19, 4*y - 2*z - 2 = 0 for y.
3
Solve -i = 136*m - 131*m + 4, 4*i + 5*m = -1 for i.
1
Solve -5*a + 6*a + 2*k - 1 = 0, -2*a + 2*k = -8 for a.
3
Solve -33*d = -38*d - 10, -7*w + 17 = -5*d for w.
1
Solve -3*y - 8*t + 4*t - 3 = 0, 0 = 2*t for y.
-1
Solve 3*b - 3*h = -2*b + 5, -2*b + 21 = -5*h for b.
-2
Solve d + 15 = -3*c + 6*d, 0 = 3*c - 2*d + 6 for c.
0
Solve -5*q + 26 = -3*v, 17 - 11 = 2*q + v for q.
4
Solve -2*c - 2*x - 4 = -4*x, 2*c + 3*x + 4 = 0 for c.
-2
Solve 7*r + l = 4*r - 16, 0 = 5*l + 20 for r.
-4
Solve -4*c = 4*a, 4*c - 28 = 3*a - 0*a for c.
4
Solve n = 3*h + 17, 3*h + 7 = -5*n + 2 for n.
2
Solve 24 = -5*t + 2*c, 0*c - 5*c - 10 = 5*t for t.
-4
Solve -8 = -4*w - 2*y, 4*w + 0*w + y - 12 = 0 for w.
4
Solve 5 = -2*t - 0*m + 5*m, -5*t - 4*m - 29 = 0 for t.
-5
Solve -2*z + 0*z - 4 = -2*m, 0 = 4*m + 3*z - 15 for m.
3
Solve -5*c + 5 = 0, -2*c = 4*g - 5*c - 17 for g.
5
Solve -5*l = -4*j + 2, -4*j = -12*l + 16*l + 16 fo
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*d - f - 2 = 0. Suppose 4*v + 2 = 2*v - 4*n, -2*n + 11 = -3*v. Sort v, d, 4 in descending order.
4, d, v
Suppose 0 = -4*y + y + 6. Let n be 21/(-6) + 2*2. Put y, n, -3 in ascending order.
-3, n, y
Let j = 3 - 2. Let x = -181 + 178. Sort -4, j, x in ascending order.
-4, x, j
Let j = 141 + -141. Let x be (-1)/(-2)*(-8)/(-6). Sort 3/2, j, x in descending order.
3/2, x, j
Let f(x) = -2*x - 3. Let d be f(-3). Let n be 1 + -11*d/39. Put -6/11, n, 5 in ascending order.
-6/11, n, 5
Suppose 0*a - 3*a = 9. Let u = a + 4. Let p = 0 + u. Put p, 4, 2 in increasing order.
p, 2, 4
Let p = 0.065 - -0.935. Put p, -0.4, 0, 0.09 in decreasing order.
p, 0.09, 0, -0.4
Let s = -14 - -11. Sort -2, s, 2/13.
s, -2, 2/13
Suppose -5*m = 3*x - 28, -2*m + 5*m - 11 = 4*x. Let v be 3/(-1) - 200/(-25). Put v, -5, x in decreasing order.
v, x, -5
Let n = -5.94 - -6. Let k = -36 - -35.94. Let s = k + n. Put s, 3, -0.3 in decreasing order.
3, s, -0.3
Suppose -544 + 559 = -3*y. Let b be (-4)/(-6) + (-4)/6. Suppose -2*t + 6 = -4. Put y, b, t in ascending order.
y, b, t
Let p = -7 + 12. Let v = -93/2 - -47. Sort 1, v, p.
v, 1, p
Let a = 125 + -1127/9. Sort a, -1, -2 in decreasing order.
a, -1, -2
Suppose -u + 4 = -3. Suppose 4*b - c + 6 = 0, b - 4*c + u = -2. Let s be 0*(-2)/(4*b). Put 2, 1, s in decreasing order.
2, 1, s
Let x = -79 - -76. Sort 1, -4, 0.1, x in descending order.
1, 0.1, x, -4
Let b(n) = n**3 + 2*n**2 - 3*n - 2. Let i be b(-3). Let g = 0 + -3. Sort g, 0, i in ascending order.
g, i, 0
Let w be (-8 - -3) + -1 + 5. Put -2, w, -5 in descending order.
w, -2, -5
Let a = -19.2 + 19. Let m = 14 + -14.5. Put 3/7, m, a in decreasing order.
3/7, a, m
Let g be ((-2)/8)/(45/(-40)). Let b = -2.6 + 3. Sort 2, g, b in decreasing order.
2, b, g
Let h = 4 + -3. Let o be 4/(-28)*3/h. Sort o, -0.3, -2/9 in ascending order.
o, -0.3, -2/9
Let b = 2216759/56598 + -2/28299. Let o = 39 - b. Let l = -0.27 + -0.03. Put l, 5, o in decreasing order.
5, o, l
Suppose l + 2*b + 19 = 0, -2*l = 4*b - 2*b + 28. Let a = l - -5. Put 0.2, a, -1/9 in decreasing order.
0.2, -1/9, a
Let h(q) = 45*q**2 - 1. Let d be h(1). Let g = d - 130/3. Put 2, 0, g in decreasing order.
2, g, 0
Let o be 22/5 - (-2)/(-5). Let k be (111/18 - 7)*-6. Sort k, -3, o.
-3, o, k
Suppose y = 3*b + 11, 0 = 4*b - 8 - 0. Let u = y + -12. Let w be 1/((-14)/(-6) - 2). Sort w, -5, u in descending order.
u, w, -5
Let w(d) = 6*d**2 - 2*d + 1. Let p be w(1). Suppose f + 4*f + 20 = 0. Put f, -5, p in decreasing order.
p, f, -5
Let h(x) = x**3 - 6*x**2 - 6*x - 9. Let y be h(7). Let g = y + 2. Sort 0.2, g, -2 in ascending order.
-2, g, 0.2
Suppose 20 = -2*r + 6*r. Put -5, -7, r in ascending order.
-7, -5, r
Suppose 12 + 12 = 12*i. Put 0, i, 3, 31 in descending order.
31, 3, i, 0
Let m = -2642/13 + 203. Let j = 2/65 + m. Sort j, 2, -4 in descending order.
2, j, -4
Suppose -4 - 1 = -5*h. Let j be ((-16)/20)/(2/(-5)). Suppose -5*d = -4*o - 8, o = 4*d - j*d - 2. Sort o, -4, h in decreasing order.
h, o, -4
Let h = -0.35 + 0.3. Let l = h - 4.95. Let d = 1 - -2. Sort d, l, -0.5 in ascending order.
l, -0.5, d
Let u = -1 + 1. Let t = -5 + u. Sort -3, t, -2.
t, -3, -2
Suppose -40 = -8*f + 4*f. Let i = 16 - f. Let q = -4 + i. Put -5, q, 3 in increasing order.
-5, q, 3
Suppose -5*n - 23 + 3 = 0. Let x(b) be the first derivative of b**3/3 + b**2/2 - 3. Let y be x(-2). Sort y, n, -3 in descending order.
y, -3, n
Let y = -0.64 - -0.24. Sort -4, -2.7, y.
-4, -2.7, y
Let o = -15.71 - 0.29. Put -2/7, o, 0 in descending order.
0, -2/7, o
Let p be (-228)/(-63) + -2 + (-8)/28. Let w = 0 - -5. Put 2, w, p in decreasing order.
w, 2, p
Let h = 18 + -13. Sort 10, 0.5, h.
0.5, h, 10
Suppose 0 = -13*n + 16*n. Sort n, 3, 4 in increasing order.
n, 3, 4
Let k be 2 + 0 + -4 + 2. Let d be (k - (-18)/(-8)) + 2. Let t = -2/199 - -408/995. Put t, -3/4, d in increasing order.
-3/4, d, t
Suppose -2*f - 3*f = 25. Suppose -3*p - 2*b + 5*b = 3, 5*b + 22 = -4*p. Put 4, f, p in decreasing order.
4, p, f
Let d = -93 + 93.2. Sort 0.14, d, -2/3 in ascending order.
-2/3, 0.14, d
Let r = 2.9 - -5.1. Let m = 6 + -6.4. Put r, -1, m in decreasing order.
r, m, -1
Suppose -4*v = b + 10, 0 = 5*b + 4*v + 2 + 16. Put b, 4, 1, 3 in descending order.
4, 3, 1, b
Let k be 13/3 - (-1)/(-3). Let n be (6 + -1)*k/(-50). Let x be ((-10)/(-6))/(2/(-6)). Sort x, n, 0.5.
x, n, 0.5
Suppose -3*y - 23 = -u, 0*u + 2*y = 4*u - 82. Suppose -2*s = -i + 3, -i + u = 3*i. Sort -1, s, 5 in decreasing order.
5, s, -1
Let w(l) = -l + 1. Let s be w(-3). Suppose -3*g - 12 = -7*u + 4*u, 0 = -s*u - 12. Put -5, g, 0 in descending order.
0, -5, g
Let c = 15/4 + -113/28. Sort -29, c, 1 in decreasing order.
1, c, -29
Let c = 5 - 2. Let a(z) = 2*z**2 - 3*z - 1. Let y be a(3). Sort y, 4, c in ascending order.
c, 4, y
Let l = -167.92 - -172. Let v = 0.08 - l. Let t = -0.2 - -0.3. Sort v, -0.3, t.
v, -0.3, t
Let d be (23/3 + -1)*-3. Let r be 6/(-10)*d/(-16). Let k = 0.11 - 4.11. Sort r, k, 4 in increasing order.
k, r, 4
Suppose r = -c - 4, r - 28 = 5*c - 2*r. Sort c, 2, 4 in decreasing order.
4, 2, c
Let z = 5584/203 - 3/406. Let v = z - 27. Sort -4/5, v, -6/11.
-4/5, -6/11, v
Suppose -5*b - 4*p = -12, p = b - 2*b + 3. Suppose 2*c + 3 = c. Let l be (0 - b)/(c + 5). Put 1/3, l, 0.4 in ascending order.
l, 1/3, 0.4
Suppose -13*m + 50 = -3*m. Sort -4, 23, m.
-4, m, 23
Suppose -3*f - 3 = 3. Let r be (-3)/8*2 + (-1)/4. Put f, r, 5 in descending order.
5, r, f
Let n be 16/(-3) + 1/3. Let h = 0.07 + -0.37. Sort n, 2/7, h.
n, h, 2/7
Let i = 8 - 5. Let h = -5 + i. Let n = 2.2 + h. Put n, 0, 5 in decreasing order.
5, n, 0
Let g = 0.1 + 0.9. Let q = -194 + 5433/28. Let z = 15/28 - q. Sort -0.3, z, g in increasing order.
-0.3, z, g
Let j(g) = g - 1. Let a be 8 - -3*(2 + -3). Let t be j(a). Let b = -16/153 + -2/17. Sort 2, t, b in decreasing order.
t, 2, b
Let q be (-4)/(-8) + 116/8. Suppose 0*b + 5*b = q. Sort 4, -1, b.
-1, b, 4
Let p = -0.42 - -0.02. Sort 4, p, -10/3 in ascending order.
-10/3, p, 4
Let y = -2 - -1.95. Let x = y - 3.95. Let u = x + 4. Sort -0.1, u, -1 in descending order.
u, -0.1, -1
Let v = 10 - 29/3. Put -6, v, 2/5 in descending order.
2/5, v, -6
Let i = 116 - 118. Put 4, 3, i, -5 in ascending order.
-5, i, 3, 4
Suppose -4*i - 5 = 3. Suppose -3*k = 19 + 5. Let g be 6/9*12/k. Put i, 1, g in ascending order.
i, g, 1
Let y be (-1 + 6/4)*120/270. Put 0.2, 0.1, y in descending order.
y, 0.2, 0.1
Let j = 8 - 5. Let h = -744 + 739. Sort j, -2/9, h.
h, -2/9, j
Let t = -25 - -15. Let s be 2 + -2 + -1 + 6. Put s, 1, t in ascending order.
t, 1, s
Let z be 23/5 + (-4)/(-10). Sort -2, z, -3 in decreasing order.
z, -2, -3
Suppose 4*i = -i - 20. Put i, 2, 3 in descending order.
3, 2, i
Let s(x) = 4*x**3 - x**2 + 1. Let z be s(1). Suppose 0 = 2*f - 0 - z. Put -1, f, 5 in increasing order.
-1, f, 5
Let v = -1928/9 - -214. Put 3/7, 4, v in ascending order.
v, 3/7, 4
Let z be 1 + 2 + -3 - 4. Put -2, 3, z in descending order.
3, -2, z
Let f = -8 - -7.95. Let p be 4/(-10)*15/(-33). Sort f, p, 1 in descending order.
1, p, f
Let x(f) = -2*f + 1. Let h be x(3). Let w = 23/21 + -3/7. Put h, w, 5 in decreasing order.
5, w, h
Let q = 3 + -3. Suppose 4*h + 2*h = 18. Put 5, q, h in descending order.
5, h, q
Let h = 139 + -137. Put -5, -2, h, 3 in ascending order.
-5, -2, h, 3
Let j = -2 - -1. Let m be (2 + -1)*(-1 + -1 + 2). Put -4, j, m in ascending order.
-4, j, m
Suppose -20 = -j + 5*j. Let p = -1 - -5. Suppose p = -3*v + 19. Sort j, v, -4.
j, -4, v
Let v be 140/3*12/(-10). Let k be (-6)/(-4) + 52/v. Let w = -0.27 + -0.03. Sort w, k, 5 in ascending order.
w, k, 5
Suppose -4*g + 3*x + 4 - 20 = 0, 3*g - 9 = -3*x. Put -8, 0, g in descending order.
0, g, -8
Let p = 5.6 - 10.6. Put 5, -0.02, p, -1 in decreasing order.
5, -0.02, -1, p
Let d(m) = -m**2 - 4*m + 7. Let x be d(-5). Sort -2, x, -10.
-10, -2, x
Let k = -0.1 + 0.1. Let c(m) = -m + 4. Let w be c(9). Let q = 1 - -3. Sort w, q, k in descending order.
q, k, w
Let z(g) = 5*g - 4. Let r be z(3). Suppose -f = -3, 2*f + r = 4*o - f. Suppose -3*n + 0*n - y = 13, 4*n = 3*y - 13. Put o, 4, n in ascending order.
n, 4, o
Let b = 7 - 11. Let v(o) = -o**2 + 4*o + 1. Let f be v(4). Let z be 2/30 + f/3. Put z, 1/2, b in ascending order.
b, z, 1/2
Let q(d) = d**3 - 3*d**2 + 2*d + 2. Let y be q(2). Suppose -5
|
{
"pile_set_name": "DM Mathematics"
}
|
*sqrt(7)/7
Simplify (-1*(sqrt(1152) + sqrt(2)) + -6*(sqrt(2) - (-3*sqrt(2) + sqrt(2))*-2))**2.
98
Simplify (sqrt(126)/(sqrt(90)/(sqrt(10)*-1)))/(((sqrt(144) + sqrt(144)*1)/sqrt(12))/sqrt(6)).
-sqrt(7)/2
Simplify (4*(sqrt(13) + 1) + sqrt(26)/sqrt(2)*3)**2*4*-5.
-13060 - 1120*sqrt(13)
Simplify ((-1 + sqrt(99) + -2)**2 - (sqrt(99) - (sqrt(99) + 1*sqrt(99)))*-6) + 1.
-36*sqrt(11) + 109
Simplify (((0 + sqrt(272) - sqrt(272)) + -1)*-6)**2 + (-4*(-1 + sqrt(272)) + sqrt(272) + 1)**2.
-120*sqrt(17) + 2509
Simplify (2*sqrt(1500))/(sqrt(48)/(sqrt(4)*3)).
30*sqrt(5)
Simplify (1 + (1*sqrt(68))/sqrt(4) + sqrt(17) + ((sqrt(17) + (sqrt(68) - -1*sqrt(68))/sqrt(4))**2 - sqrt(17)) + sqrt(17))*4.
8*sqrt(17) + 616
Simplify (-3 + -5 + ((sqrt(192) - 5*2*sqrt(192)) + sqrt(192))**2)*3.
36840
Simplify (sqrt(1008)*2 - (sqrt(7) - (-1 + sqrt(7))*1) - (sqrt(1008) + 0 + sqrt(1008)*2))**2.
24*sqrt(7) + 1009
Simplify 3 + 6*(-3 + sqrt(204)/(sqrt(12) + sqrt(108) - sqrt(12)) + -3 + (sqrt(68)/sqrt(4))**2 + -2).
2*sqrt(17) + 57
Simplify (2 + sqrt(180) + -1 - (sqrt(80) + sqrt(80)*-1 + -3))**2.
48*sqrt(5) + 196
Simplify -4 + ((-5 + ((2 + sqrt(704))*-2 - sqrt(704)))*-5)**2.
10800*sqrt(11) + 160421
Simplify (1*1*sqrt(152)*-2)/((sqrt(32) - sqrt(64)/sqrt(2)) + sqrt(32) - sqrt(40)/(sqrt(15)/sqrt(3))).
-2*sqrt(19)
Simplify 5*(sqrt(11)*-2 + -1 + -4)**2*5.
500*sqrt(11) + 1725
Simplify 5 + -4*sqrt(28) + (-1*sqrt(168) - sqrt(168))/sqrt(6).
-12*sqrt(7) + 5
Simplify ((sqrt(180)*-1)/sqrt(9))/(sqrt(10) + 3*sqrt(10)*2) + -5 + 2.
-3 - sqrt(2)/7
Simplify -5*(0 + (-4*(-1*((-1*sqrt(65) - sqrt(65)) + sqrt(65)))/sqrt(5))**2).
-1040
Simplify 6*(2 + ((sqrt(15)/sqrt(3) + sqrt(5))*5 + sqrt(5))**2*2).
7272
Simplify sqrt(475) + -1 + 4 + -2 + 1.
2 + 5*sqrt(19)
Simplify (-3*sqrt(14)/(sqrt(21)/sqrt(3)))**2 + ((sqrt(32) + 2 + sqrt(2))**2 - (sqrt(98)*-1 - sqrt(98))).
34*sqrt(2) + 72
Simplify 2*-1*((sqrt(35)/sqrt(7))**2*-1 + -2).
14
Simplify ((-2*sqrt(8)*2*-3)/(-5*-3*sqrt(64)))**2.
2/25
Simplify (6*(sqrt(209) + -4*sqrt(209)*-3)/(sqrt(66)/sqrt(6)*1))**2.
115596
Simplify (sqrt(567)*2*4)**2 + 4*(sqrt(567) + 1 + sqrt(567)) - (-1 + (-1*(-3 + sqrt(567)))**2).
126*sqrt(7) + 35717
Simplify -1*(-1 + ((sqrt(605) - (1*(sqrt(605) + 0 + sqrt(605)) + sqrt(605)))**2 + sqrt(605) - (sqrt(605) - -6*-1*sqrt(605)))*2).
-4839 - 132*sqrt(5)
Simplify (((sqrt(65) - -5*sqrt(65)*2) + sqrt(65) + sqrt(65))*4)/(sqrt(15)/(sqrt(9)/sqrt(3)) - sqrt(90)/sqrt(2)).
-26*sqrt(13)
Simplify ((sqrt(80) - (sqrt(80) + (sqrt(80) + sqrt(80) + 1 + sqrt(80))**2)) + sqrt(500)*-2)*-4.
176*sqrt(5) + 2884
Simplify ((2*sqrt(190) + sqrt(190) + sqrt(190))*-3*-5)/(-2*(sqrt(810) + (sqrt(810) - sqrt(810)*1))).
-10*sqrt(19)/3
Simplify ((sqrt(336)*1)/sqrt(7) + (sqrt(363) - (5*(-1 + sqrt(363) - sqrt(363)) + sqrt(363) - sqrt(363))))**2 + 1.
150*sqrt(3) + 701
Simplify (-1*sqrt(1088) - 6*sqrt(425)) + (0 + -3*sqrt(833))**2.
-38*sqrt(17) + 7497
Simplify -1*(-1*sqrt(700) + sqrt(7) + -4)*5*-1.
-45*sqrt(7) - 20
Simplify (sqrt(304) + sqrt(304) + -4)*5 + (sqrt(304) - (1 + 5 + sqrt(304) - sqrt(304))).
-26 + 44*sqrt(19)
Simplify -2 + ((-1*sqrt(756)*-1)/(-3*(sqrt(144)/sqrt(3) + sqrt(48))))**2.
-25/16
Simplify (5*(-5*(sqrt(180) + sqrt(180) + sqrt(180) + 1 + sqrt(180)) + 0 + -3 + (sqrt(180) + 1)*5 + sqrt(180)))**2.
12600*sqrt(5) + 882225
Simplify (sqrt(44) - (-2 + sqrt(44)))*2 + -2*sqrt(1584) + -1.
-24*sqrt(11) + 3
Simplify 4*3*-6*sqrt(117)/sqrt(729).
-8*sqrt(13)
Simplify -3*(sqrt(405)/(sqrt(9) - (sqrt(9) + sqrt(9)*2) - sqrt(9)))/(sqrt(9) - (sqrt(9) - sqrt(18)/sqrt(2))*-1).
sqrt(5)
Simplify 4 + 3*sqrt(100)/sqrt(5) + 4 + -4.
4 + 6*sqrt(5)
Simplify (6*(sqrt(144)*-1 + sqrt(144)))/(((sqrt(72) + sqrt(72) + sqrt(72)*-2 + sqrt(72) + sqrt(72) - sqrt(72))/sqrt(4))/sqrt(9)).
0
Simplify -1*5*(sqrt(304) + sqrt(304) + ((sqrt(304) + sqrt(304) + sqrt(304) + -1)*5)**2 + 4)*3.
-1026435 + 8880*sqrt(19)
Simplify (-3*-2*sqrt(66))/(sqrt(6) + (1*sqrt(150) - sqrt(6))) + (((sqrt(3564) - -2*sqrt(3564)) + sqrt(3564))*-3)**2.
6*sqrt(11)/5 + 513216
Simplify (sqrt(75) + 1 - sqrt(75) - (sqrt(3) + 1 + sqrt(12) + sqrt(3)))*6*-5 + 0.
120*sqrt(3)
Simplify (sqrt(72)*-1)/(sqrt(54)/(-1*sqrt(6)))*-4.
-8*sqrt(2)
Simplify sqrt(60)/(sqrt(72)/(sqrt(6) + sqrt(54))) - (-1 + sqrt(5) + -5 + (sqrt(5) - sqrt(5)*2))**2.
-36 + 4*sqrt(5)
Simplify (3*(-4 + ((1 + sqrt(80))*-3 - sqrt(80) - sqrt(80)))*-1)**2.
2520*sqrt(5) + 18441
Simplify sqrt(102)/(sqrt(6) + 1*sqrt(384)) - sqrt(153)/(-1*sqrt(81)).
4*sqrt(17)/9
Simplify -1 + -4 + sqrt(25)/sqrt(5) + sqrt(5) - ((2*sqrt(720))**2 + -3).
-2882 + 2*sqrt(5)
Simplify (sqrt(637) + -1 + -4 - sqrt(637)*-2*-6)*-1 + 4.
9 + 77*sqrt(13)
Simplify (1*(sqrt(119) - (-3*2*sqrt(119) - sqrt(119))))/((sqrt(196)*-1)/sqrt(7)).
-4*sqrt(17)
Simplify (((6*(sqrt(119) + sqrt(119)*1))/sqrt(7))**2 - (-6*(sqrt(425)*2 + sqrt(17)))**2) + 0.
-71604
Simplify (sqrt(275) + 2 + 2 + sqrt(275) - (-2*sqrt(275) + sqrt(275))*3)**2 + -3.
200*sqrt(11) + 6888
Simplify (sqrt(2)*4 + -1 + -5)**2 - ((3 + (sqrt(50) - sqrt(2)))**2 + sqrt(2) + (sqrt(10)/sqrt(5) - sqrt(2))**2 + 1).
-73*sqrt(2) + 26
Simplify ((5*-2*sqrt(210) + sqrt(210))/sqrt(10))/(1*-3*sqrt(432)).
sqrt(7)/4
Simplify 4 + (sqrt(18)*-2*6)/(sqrt(576) - (2*sqrt(576) - sqrt(576)) - sqrt(576)).
3*sqrt(2)/2 + 4
Simplify -6*(5 + sqrt(1900) + 0)*-6 + -1.
179 + 360*sqrt(19)
Simplify -1 + ((-2 + sqrt(99) + -2 + sqrt(99))*-6 + -1)**2 + 5.
-1656*sqrt(11) + 14789
Simplify ((sqrt(408)/(sqrt(24)/sqrt(3))*-3)/(1*sqrt(12)*3))**2.
17/4
Simplify ((-3*sqrt(187) + sqrt(187))*1)/sqrt(11) + (sqrt(153)/(sqrt(108)/(sqrt(12)*2 + sqrt(12))))**2.
-2*sqrt(17) + 153
Simplify (sqrt(32) + 2 + 1)**2 + (sqrt(256)/sqrt(8)*-2)**2.
24*sqrt(2) + 169
Simplify ((-1*sqrt(104)*-4 + sqrt(104) + (sqrt(104) - 3*2*sqrt(104)) + sqrt(104))/(4*sqrt(648)*3))**2.
13/11664
Simplify 4 + (-2*(sqrt(4320) + sqrt(4320) + (-1*sqrt(4320) - sqrt(4320) - sqrt(4320))))/(sqrt(294) - sqrt(294)*-2*1 - sqrt(294)).
12*sqrt(5)/7 + 4
Simplify 2*sqrt(209)/(sqrt(1584) + sqrt(1584) + sqrt(1584)*1 + sqrt(1584))*-3 + -1.
-1 - sqrt(19)/8
Simplify 0 + 6*(4*sqrt(128))/(sqrt(4) + sqrt(144)*1).
96*sqrt(2)/7
Simplify (0 + sqrt(99)*-1 + sqrt(99) + -1 - ((sqrt(99) - (1 + sqrt(99))*4) + -3))**2 + -5.
108*sqrt(11) + 922
Simplify (sqrt(891) - ((sqrt(891)*-1)**2 + 1)) + sqrt(891)*-1 + 0 + sqrt(891) + sqrt(891)*2*-2*6.
-892 - 207*sqrt(11)
Simplify ((sqrt(425) + -3)**2 + sqrt(1377)*-2)*6 + -4.
-288*sqrt(17) + 2600
Simplify (-4*(sqrt(190) - (sqrt(190) - (-4*sqrt(190) + sqrt(190)))))/((sqrt(10) - (sqrt(10) - sqrt(810)) - sqrt(10))*5).
3*sqrt(19)/10
Simplify ((sqrt(35) - sqrt(70)/sqrt(18))*-3)/(-4*sqrt(63) - 5*sqrt(21)/sqrt(3)).
2*sqrt(5)/17
Simplify 4 + ((2*sqrt(187)*6 + sqrt(187))*1)/((sqrt(495)*-2)/sqrt(5)).
-13*sqrt(17)/6 + 4
Simplify (sqrt(475) + 3)**2 + -3 - (sqrt(475) - (3 + (sqrt(475) + -2 + sqrt(475))**2)).
-15*sqrt(19) + 2388
Simplify ((2*sqrt(176)*6 - 2*sqrt(176)*-1) + -2)**2 + 0.
-224*sqrt(11) + 34500
Simplify (4*(sqrt(17) + (sqrt(17) - sqrt(68)*-5)))**2 + (-2 + sqrt(17)*-2*-6)**2.
-48*sqrt(17) + 41620
Simplify (sqrt(95)/((sqrt(5) - sqrt(20)*5) + sqrt(5)) - (-1*sqrt(209)*2)/sqrt(11))**2.
4275/64
Simplify (5*-2*(-4 + (sqrt(567) - (sqrt(567) + 0)*5) + 1 + (sqrt(567) - sqrt(567)*-1)))**2.
10800*sqrt(7) + 227700
Simplify 5 + -2 + (sqrt(77)/sqrt(7))**2 + sqrt(11) + 1 + sqrt(99).
4*sqrt(11) + 15
Simplify sqrt(1573)*-2 + -4 + 5 - ((-3 + (sqrt(1573) - (sqrt(1573) + -1 + sqrt(1573)))**2 - sqrt(1573)) + 5).
-1575 + 11*sqrt(13)
Simplify -5*(sqrt(28) + (sqrt(28) - (sqrt(28) + 0)))**2 - (sqrt(14) + sqrt(84)/(-1*sqrt(6)))/sqrt(2).
-140
Simplify (2*sqrt(24)*2)/(1*sqrt(12)*6) - ((sqrt(2) + sqrt(18)/(sqrt(9)*-3))**2 - sqrt(6)/(sqrt(12)/sqrt(4))).
-8/9 + 5*sqrt(2)/3
Simplify (4 + sqrt(54)/sqrt(2) - (sqrt(432) + sqrt(432) + 1 - sqrt(30)/(-2*sqrt(10))))**2.
-129*sqrt(3) + 5583/4
Simplify (sqrt(1100) - (1 + (sqrt(1100) - (sqrt(1100) + -1)) + sqrt(1100))**2) + (-5*(-2*sqrt(11) + -5))**2.
621 + 470*sqrt(11)
Simplify ((-1*(sqrt(7) + sqrt(700))**2 - sqrt(7)) + (sqrt(7) + sqrt(4536)/sqrt(8) + sqrt(7) - sqrt(7) - sqrt(7))**2)*2.
-560 - 2*sqrt(7)
Simplify (sqrt(128)/((4*sqrt(64))/sqrt(8)))/(sqrt(88)/sqrt(176) - sqrt(512)*1).
-sqrt(2)/31
Simplify 4 + sqrt(38)/sqrt(2)*1 - ((4*sqrt(171)*-3 - sqrt(171)) + sqrt(171)).
4 + 37*sqrt(19)
Simplify -2*sqrt(720) + 4 + sqrt(315)/(sqrt(35)/sqrt(5
|
{
"pile_set_name": "DM Mathematics"
}
|
t p?
2*p
Let l(u) = 33*u**3 + 16*u**2 - 5*u + 2. Let f(t) = 49*t**3 + 24*t**2 - 8*t + 3. Let k(a) = 5*f(a) - 8*l(a). Find the third derivative of k(h) wrt h.
-114
Let f be 2/(1 + (-3)/9). Let n = 8 - 4. Find the first derivative of f + 5*c**2 - 4*c**2 - n*c**2 wrt c.
-6*c
Suppose 0 = 5*z + 4*q - 22, -5*z + 0*q - 5*q = -25. Differentiate -58*f**2 - f - 13 + 69*f**z + f with respect to f.
22*f
Let c be (-1)/(1 - 9/6). What is the second derivative of r**c + 11*r - 30*r - r**2 + 15*r**3 wrt r?
90*r
Let w(s) be the third derivative of -11*s**9/84 + 13*s**5/60 - s**3/6 + 4*s**2 - 5. What is the third derivative of w(a) wrt a?
-7920*a**3
Differentiate 102*z**2 + 127*z**2 - 14 - 93*z**2 + 47 with respect to z.
272*z
Let l(f) be the second derivative of 29*f**6/30 - 4*f**3/3 + 66*f**2 + 59*f - 5. What is the first derivative of l(v) wrt v?
116*v**3 - 8
Let x(s) be the second derivative of 97*s**6/6 + 479*s**4/12 - 45*s + 2. Find the third derivative of x(o) wrt o.
11640*o
Let t(q) = 11*q**5 + 4*q**4 - 92*q**2 - 7*q. Let f(i) = -10*i**5 - 5*i**4 + 93*i**2 + 6*i. Let o(u) = 7*f(u) + 6*t(u). Find the third derivative of o(m) wrt m.
-240*m**2 - 264*m
Find the first derivative of 74*n**2 + 8*n + 23*n - 78 - 31*n wrt n.
148*n
Find the third derivative of -25*k - 2*k**2 - 62*k**2 + 101*k**3 + 25*k + 44*k**3 wrt k.
870
Let l = -12 - -13. Suppose 3*j = 7 - l. Differentiate 12 - 3*g**2 - 3*g**j - 9 wrt g.
-12*g
Let r(w) be the second derivative of 5*w**4 + 21*w**2/2 - 3*w + 1. Find the first derivative of r(x) wrt x.
120*x
Let a(m) = 11*m**2 + 42*m - 4. Let z(l) = -22*l**2 - 83*l + 9. Suppose 0 = 2*w + 8*w + 90. Let s(g) = w*a(g) - 4*z(g). Find the second derivative of s(u) wrt u.
-22
Suppose -4*m = 15 - 51. Let r be ((-28)/21)/(2/(-6)). What is the second derivative of m*d**4 + 6*d - 7*d**5 - 9*d**r wrt d?
-140*d**3
Let s(n) be the third derivative of 0*n + 0*n**3 + 0*n**6 + 0*n**7 + 1/84*n**8 + 0*n**5 - 1/8*n**4 + 0 + 4*n**2. What is the second derivative of s(t) wrt t?
80*t**3
What is the second derivative of 355*r**2 - 157*r**2 + 1 - 3 - 321*r**2 + 50*r wrt r?
-246
Find the third derivative of -74964 + 160*y**3 + 74964 - 203*y**2 wrt y.
960
Find the second derivative of 23 - o**2 + 82 - 4*o - 345*o**5 - o**2 - 155 wrt o.
-6900*o**3 - 4
Let x = 718 + -718. Let g(l) be the first derivative of x*l - 4 + 0*l**2 + 10/3*l**3 - 5/2*l**4. What is the third derivative of g(f) wrt f?
-60
What is the second derivative of 450*f**4 - 945*f - 5*f**3 + 6*f**3 - 542*f**4 wrt f?
-1104*f**2 + 6*f
Let u(z) = -z**3 - z + 1. Let l(p) = 80*p**3 + 191*p - 1. Let d(f) = -l(f) - u(f). Find the second derivative of d(c) wrt c.
-474*c
What is the second derivative of 63 - 36*r - 17 - 26 + 4*r**2 - 20 wrt r?
8
Let k = 6 + -6. Suppose k = 4*n + n - 3*v - 9, 13 = n + 5*v. What is the derivative of -3 + 4*r**2 - n + 5 wrt r?
8*r
Let x(f) be the first derivative of 124*f**5/5 + 52*f**3/3 - 125. Find the third derivative of x(o) wrt o.
2976*o
Let s(h) be the third derivative of 337*h**5/20 + 21*h**4/8 - 7*h**3/6 - 823*h**2. Find the second derivative of s(p) wrt p.
2022
Let d(l) be the third derivative of -3*l**5/4 - 35*l**4/24 - l**3/3 - 3*l**2 - 13*l. What is the second derivative of d(p) wrt p?
-90
Let g(b) be the second derivative of 1/2*b**2 + 11/24*b**4 + b + 0 - b**3. Let q(i) be the first derivative of g(i). What is the first derivative of q(w) wrt w?
11
Suppose -z + 2*y + 8 = -y, -z = 2*y + 2. What is the derivative of -705*o + 6*o**z + 705*o - 4 wrt o?
12*o
Let z be (0 - 8/(-10))*210/84. What is the third derivative of -2*y**z - 15*y**3 - 6*y**2 + 20*y**3 + 8*y**3 wrt y?
78
Let b be 37/5 - 40/100. Find the second derivative of -11*s - b*s - 3*s + 21*s**5 wrt s.
420*s**3
Let o = 120 - 106. What is the second derivative of -8*h**2 + 9*h**2 + 2*h - o*h**2 - 12*h wrt h?
-26
Let m(x) = -x**2 - x + 1. Let r(z) = -4*z - 3*z + 3*z + 3*z**2 + 5 - 2. Let q(n) = -3*m(n) + r(n). What is the second derivative of q(b) wrt b?
12
Let q = 1 - 1. Let m(a) = -a**3 - a**2 - a + 5. Let d be m(q). What is the third derivative of 3*i**d + 4*i**2 - 53*i**3 + 53*i**3 wrt i?
180*i**2
Let l(r) be the third derivative of 6*r**2 + 1/6*r**4 - 19/210*r**7 + 0 + 0*r**3 + 0*r + 0*r**5 + 0*r**6. Find the second derivative of l(x) wrt x.
-228*x**2
Let c(m) = -15*m**3 + m + 1. Let p be c(-1). Let y = p - 12. Find the second derivative of -j**3 - y*j**3 + 8*j + 9*j**3 wrt j.
30*j
Suppose 0 = j - 5, r = 3*j - 7 - 3. Let c(q) be the first derivative of -r*q - 9 - 4/3*q**3 + 0*q**2. Differentiate c(n) with respect to n.
-8*n
Let z be 0*3/(-11 - 1). Let a(p) be the second derivative of 7/30*p**6 + z*p**5 + 0*p**3 + 5/2*p**2 + 0*p**4 + 0 + 5*p. Differentiate a(g) with respect to g.
28*g**3
Let h = -129 + 132. Let s be ((-14)/(-8))/(2/8). Differentiate 5 + 6 + 9*y**2 - s - h*y**2 wrt y.
12*y
Let a(n) = -n**3 + 3*n**2 - n - 4. Let g be a(3). Let p = -3 - g. Differentiate -47*r**3 + 47*r**3 - 2 - 10*r**p with respect to r.
-40*r**3
Let v(m) be the second derivative of 11*m**8/7 + m**4/2 + 2*m**2 - 277*m. What is the third derivative of v(q) wrt q?
10560*q**3
Let s(q) be the second derivative of -13*q**6/15 - 25*q**4/6 - q**3/3 - 148*q. Find the third derivative of s(c) wrt c.
-624*c
Let y(x) be the first derivative of x**8/60 - x**6/90 + 14*x**3/3 + 30. Let f(o) be the third derivative of y(o). Find the third derivative of f(w) wrt w.
672*w
Let f(o) be the third derivative of 13/210*o**7 + 0*o - 11/6*o**3 + 0*o**6 + 0*o**4 - 14*o**2 + 0*o**5 + 0. Find the first derivative of f(m) wrt m.
52*m**3
Let a(l) be the first derivative of -l**6/15 - l**4/2 + 9*l**2/2 + 15. Let b(d) be the second derivative of a(d). What is the second derivative of b(z) wrt z?
-48*z
Find the second derivative of 50*u - 3*u**5 + 62*u - 3*u - 41*u - 11*u**4 wrt u.
-60*u**3 - 132*u**2
Let r(x) be the second derivative of x**6/10 - 4*x**3/3 + x**2/2 + 18*x. Let d(c) be the first derivative of r(c). Differentiate d(v) with respect to v.
36*v**2
Let s(i) be the first derivative of 4*i**2 + 4 - 10*i + 24*i - 7*i**2 - 4*i**2. What is the derivative of s(r) wrt r?
-14
Suppose -5*t + 92 = 67. What is the first derivative of t + 23*n**2 + 5*n**2 + 7*n**2 - 38 wrt n?
70*n
Let k(r) = 132*r**2 + 2*r + 53. Let b(j) = -264*j**2 - 4*j - 104. Let c(w) = -2*b(w) - 5*k(w). Find the second derivative of c(s) wrt s.
-264
Differentiate -30*z**2 - 1 + 47*z**2 + 20*z**2 + 30*z**2 + 74 wrt z.
134*z
Let p(q) be the third derivative of -499*q**4/24 - 187*q**3/3 + 82*q**2. Differentiate p(a) wrt a.
-499
Let u(j) be the second derivative of 6*j**5/5 + j**4/6 + 325*j**3/6 - j + 22. What is the second derivative of u(g) wrt g?
144*g + 4
Let m be (-2)/(-1*2/3). Let t = -1 + m. What is the second derivative of 0*d - 2*d + d + 0*d + t*d**2 wrt d?
4
Suppose t - 4 = 2. Differentiate 2*w**2 + 9*w**4 - 3*w**4 - 2*w**2 - t wrt w.
24*w**3
Let x(q) be the second derivative of 127*q**5/20 + 2*q**3/3 + 85*q**2/2 + 543*q. What is the second derivative of x(f) wrt f?
762*f
Suppose -38*t = -12*t - 52. Let a be (-3)/12 + (-66)/(-8). Differentiate -10*b + t - 7 + 3 + a*b with respect to b.
-2
Suppose 10*x - 2*x = 160. What is the third derivative of -16*u**2 - 20*u**5 + x*u**5 - 22*u**6 wrt u?
-2640*u**3
Suppose 5*n + 121 = 5*g - 39, 5*g - n = 144. What is the second derivative of 15*v + 3*v + 10*v - g*v**4 + 3*v wrt v?
-336*v**2
Let s(y) be the second derivative of 0*y**5 + 9*y + 0 + 0*y**7 + 3/28*y**8 + 2/3*y**4 + 0*y**6 + 0*y**2 + 0*y**3. What is the third derivative of s(j) wrt j?
720*j**3
Let s be 11/110*2 + 2/(-10). Let l(y) be the first derivative of s*y**3 + 0*y**4 - y**5 + 7/2*y**2 - 4 + 0*y. What is the second derivative of l(c) wrt c?
-60*c**2
Let m(f) be the second derivative of 181*f**4/12 - 123*f**2/2 + 4*f + 14. Differentiate m(z) with respect to z.
362*z
Find the third derivative of 24*r**3 - 29 + 1266*r**2 + 3*r**5 - 19*r**3 - 1253*r**2 wrt r.
180*r**2 + 30
Let n(y) be the second derivative of y**6/30 - 283*y**2/2 - 20*y. Find the first derivative of n(b) wrt b.
4*b**3
Suppose 0 = -3*z - 3*p + 6, z + 3*p - 16 = -4*z. What is the third derivative of -4 - z*d**4 + 4 - 3*d**4 - 4*d**2 wrt d?
-192*d
Let v = 39 + -35. Suppose -24 = 5*z - 6*z. Find the third derivative of -v*i**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose -4*d = -4*c + 200, d = 2*c + 3*c - k. What is the remainder when c is divided by 19?
16
Suppose 22 = -4*d + 82. Calculate the remainder when d is divided by 10.
5
Suppose y + 2*y - 19 = 5*l, 5*y - 35 = 5*l. What is the remainder when y is divided by 3?
2
Let w = -36 + 54. Calculate the remainder when 34 is divided by w.
16
Let n(w) = 2*w**2 - 51*w - 30. Calculate the remainder when n(29) is divided by 58.
57
Let x = 3 + 5. Calculate the remainder when 38 is divided by x.
6
Let k = -17 - -22. What is the remainder when 17 is divided by k?
2
Suppose 5*z = 6*z + 188. Let x = 30 - 8. What is the remainder when x is divided by z/(-16) - (-1)/4?
10
Suppose -2*y + 3*y = 90. Suppose 4*q - 6*q - 5*b + 57 = 0, -2*b = 4*q - y. Calculate the remainder when 41 is divided by q.
20
Let l be (-6)/(-1*(3 - 4)). Let n = 8 + l. What is the remainder when n is divided by 3/2 + (-1)/(-2)?
0
Let g be 230/(-15) - 4/6. Let f be -5*4/10*g. Suppose -4*b + f = 4*q, 11 = b - 0*q - 2*q. Calculate the remainder when 17 is divided by b.
8
Suppose 0 = -2*r - r + 51. What is the remainder when 1*(-2 - -3) + (-62)/(-2) is divided by r?
15
Suppose 12 = 3*z - y - 32, 4*y = -3*z + 34. Calculate the remainder when 67 is divided by z.
11
Suppose -31 - 11 = 2*o. Suppose -q - 18 = -3*q. What is the remainder when q is divided by o/(-3) - (1 + 1)?
4
Let q be (-2 + 69/6)*10. Let x = 24 + q. What is the remainder when x is divided by 30?
29
Let f(y) = y + 4. Calculate the remainder when 18 is divided by f(6).
8
Suppose 5*i + 112 = 5*v - 163, i + 157 = 3*v. Calculate the remainder when v is divided by 27.
24
Let z(h) = h + 1. Suppose 0 = -4*r + r. What is the remainder when 2 is divided by z(r)?
0
What is the remainder when 294/(-7)*8/(-6) is divided by 12?
8
Let l = -43 - -30. Let n = 21 + l. Calculate the remainder when 22 is divided by n.
6
Let y = 28 - 13. Suppose 5*c = 2*c + 528. Suppose 4*h + 0 = c. Calculate the remainder when h is divided by y.
14
Suppose 3*j + 63 = 6*j. Calculate the remainder when 62 is divided by j.
20
Suppose -h + 6 = -4. Suppose -2*g - h = -46. What is the remainder when 35 is divided by g?
17
Suppose -5*j - 5 = 4*r, -2*j - 3*r = 3*j + 5. Let a(b) = 37*b**2 + b + 1. Let f(x) = -3*x + 13. What is the remainder when a(j) is divided by f(0)?
11
Let m(h) = 2*h**2 - 6*h - 2. Let u be (-2)/(-2)*(2 - -3). Suppose -30 = -7*t + 4*t. What is the remainder when m(u) is divided by t?
8
Let s = -33 + 91. Calculate the remainder when s is divided by 13.
6
Let h(s) = -s**3 - 11*s + 9*s - 3*s**2 + 1 + 0*s**2 + 3. Calculate the remainder when 27 is divided by h(-3).
7
Suppose -4*c + 4*v = -0*v - 104, 3*v - 38 = -c. Suppose k = -h + 2*k + c, k - 64 = -2*h. What is the remainder when h is divided by 8?
7
Suppose -2*q - x - 3 + 33 = 0, -q - 5*x = -33. Suppose 3*g = 5 + 10. What is the remainder when q is divided by g?
3
Suppose -p = 4*p - 150. Calculate the remainder when p is divided by 8.
6
Suppose -5*m - 29 = -124. Calculate the remainder when 1519/42 + 3/(-18) is divided by m.
17
Let v be 136/(-1) - (0 - 2). Let x = -94 - v. What is the remainder when x is divided by 14?
12
Suppose -5*m + 2*m = 3*c - 102, -5*c + 30 = m. Suppose 24 = -0*a + 2*a. What is the remainder when m is divided by a?
11
Let a(v) = v + 9. Let s = 11 - 16. Calculate the remainder when 6 is divided by a(s).
2
Suppose -6 = -4*l - 254. Let w = -36 - l. Let f(h) = 2*h**2 - 4*h - 2. What is the remainder when w is divided by f(4)?
12
Suppose 4*l - 16 = -0. Suppose 5*o - 3*h + 10 = 6*o, -4*o = l*h - 32. Suppose 0 = -a - 4*a + 60. What is the remainder when a is divided by o?
5
Let w be 10/(-2 + 1 - -3). What is the remainder when 64 + -2 + (w - 2) is divided by 17?
14
Suppose -o + g + 16 = 3*o, -3*o + 4*g = -12. Let b = -5 - -17. What is the remainder when b is divided by o?
0
Let r(g) be the third derivative of 0 + 1/60*g**5 + 3*g**2 + 0*g - 7/6*g**3 + 1/8*g**4. Calculate the remainder when 3 is divided by r(-5).
0
Let l be 1/(2/5)*2. Suppose -2 = b + b, -28 = -l*d + 3*b. Suppose 0*t - 8 = -t. What is the remainder when t is divided by d?
3
What is the remainder when (-7)/(28/(-12)) - 1*-54 is divided by 29?
28
Suppose 2*u - 14 = -h - h, 5*h + 2*u = 35. Let w(q) = q**3 - 8*q**2 + 7*q - 1. Let a be w(h). Calculate the remainder when 32 + 3/3*a is divided by 11.
9
Let o be 4 + (-3)/(3/(-92)). Suppose 5*y = 9*y - o. Calculate the remainder when y is divided by 13.
11
Suppose -l - 4*x = -110, 2*l + 2*x - 205 = -x. What is the remainder when l is divided by 33?
32
Suppose k - 12 = -3*k. Suppose 13 = d + k*n, 160 = 5*d - n - 3*n. Suppose r + s = -0*r + 13, -2*r = -3*s - 11. Calculate the remainder when d is divided by r.
8
Let j be (-2)/1*(-6)/4. Suppose 4 + 14 = j*w. Let r(q) = 2*q**2 - 8*q + 1. Calculate the remainder when r(w) is divided by 9.
7
Suppose -3*d = 2*r + 21, 3*r - 1 = 4*d + 10. Calculate the remainder when 35/((-3)/r)*1 is divided by 19.
16
Calculate the remainder when (-4)/((-32)/(-236))*-2 is divided by 31.
28
Suppose h + 4*q = -h + 34, 43 = 5*h - 4*q. Suppose -4*r = -28 - 96. What is the remainder when r is divided by h?
9
Suppose -10*i + 6*i = -124. What is the remainder when i is divided by 10?
1
Let v = 193 + -96. Calculate the remainder when v is divided by 33.
31
Let g(p) = 8*p**2 - p + 1. Let t(s) = s. Let h(l) = g(l) + t(l). What is the remainder when h(-1) is divided by 4?
1
Let y be (-12166)/(-49) + 2/(-7). Suppose 0*p - 4*p + y = 0. Calculate the remainder when p is divided by 21.
20
Let q(f) = -f**2 + 11*f - 11. Let t be (10 + -9)/((-1)/(-9)). Calculate the remainder when 27 is divided by q(t).
6
Suppose 39 = -2*r - 5*d, -5*r - 182 = -2*d - 70. Let f = 41 + r. What is the remainder when 75 is divided by f?
18
Let m(i) = 3*i - 1. Let l be m(-2). Let c(w) = -w**2 - 8*w + 1. Calculate the remainder when 31 is divided by c(l).
7
Let i(h) = 5*h - 5. Let p be i(-4). Let u = p + 56. What is the remainder when u is divided by 8?
7
Let d = 25 + -25. Suppose 4*j = -c - 4 + 45, d = 5*j - 25. What is the remainder when 83 is divided by c?
20
Let m = 3 - 5. Let y(n) = 9*n - 7. What is the remainder when y(4) is divided by ((-50)/15)/(m/6)?
9
Let s(f) = 3*f - 41. What is the remainder when 50 is divided by s(18)?
11
Suppose 0*g - 68 = -g. Let c = g + 97. Suppose -f + 6*f - c = 0. Calculate the remainder when f is divided by 17.
16
Suppose -38 = 3*z - r - 234, 3*z + 3*r = 216. Calculate the remainder when z is divided by 14.
11
Suppose 9*m - 36 = 8*m. What is the remainder when 249 is divided by m?
33
Suppose t + 14 = 2*t. Let f(i) = -2*i + 25. What is the remainder when f(-8) is divided by t?
13
Let s(l) = 4*l**2 + 5*l + 7. Suppose 10*f - 11*f + 21 = 0. What is the remainder when s(-5) is divided by f?
19
Let y be (-6)/39 + (-4)/(-26). Suppose -4*c + 0*c + 64 = y. What is the remainder when c is divided by 9?
7
Let b(y) = y**3 - 5*y**2 - 3*y - 1. What is the remainder when b(6) is divided by 13?
4
Suppose -3 = -p, p - 18 = -4*f - 3. Calculate the remainder when 23 is divided by f.
2
Let f = -35 - -52. Calculate the remainder when 31 is divided by f.
14
Let f(h) = h**3 + 7*h**2 - 23*h - 27. Calculate the remainder when f(-9) is divided by 7.
4
Suppose -3*f + 20 = -2*f. Let m = f + -17. What is the remainder when -1*3/((-3)/7) is divided by m?
1
Suppose 5*h = 3*j - 17, 3*j + 5*h + 32 = 99. Let w = -4 - -5. What is the remainder when (-26*w*-1)/1 is divided by j?
12
Let y(v) = -v**3 - 7*v**2 - 6*v + 6. Let j be y(-6). Suppose -j = -2*p + 18. Let b(k) = -2*k + 1. What is the remainder when p is divided by b(-3)?
5
Let z = 66 + -36. Calculate the remainder when z is divided by 21.
9
Calculate the remainder when 92 is divided by (3 + (-177)/9)*12/(-10).
12
What is the remainder when (-1)/9 - (-981)/81 is divided by 7?
5
Let z(r) = 3*r - 2. Let b be z(2). Suppose b*a - 4 = 2*a. What is the remainder when a is divided by 1?
0
Let g(b) = -2*b - 1. Let z = 139 - 85. Suppose 2*q + 12 = z. Calculate the remainder when q is divided by g(-6).
10
Suppose -5*s + 47 + 13 = 0. What is the remainder when 20 is divided by s?
8
Let r be 1/(2*3/(-114)). Calculate the remainder when (-2)/(2/r)*1 is divided by 10.
9
Let u = -72 + 85. Calculate the remainder when 49 is divided by u.
10
Let o(x) = x**2 - 9*x +
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 122 + 104 with respect to a.
-10*a - 15
What is the third derivative of 14*d**3 + 6*d**3 + 72*d**2 + 5*d**3 wrt d?
150
What is the second derivative of -16355 - 450*z**5 + 16355 - 47*z + 271*z wrt z?
-9000*z**3
Let l(a) = 48*a**3 - 4*a**2 - 3*a + 45. Let u(m) = 145*m**3 - 11*m**2 - 8*m + 134. Let o(y) = 11*l(y) - 4*u(y). What is the second derivative of o(t) wrt t?
-312*t
Differentiate -18*b**2 + 70 + 307*b**2 + 117*b**2 - 89 - 261 with respect to b.
812*b
Let j(l) be the first derivative of 57*l**2/2 + 186*l - 68. Differentiate j(f) with respect to f.
57
Let r(g) = 34*g**2 - 21*g - 11. Let h(z) = -17*z**2 + 11*z + 6. Suppose 4*s + 36 + 8 = 0. Let k(f) = s*h(f) - 6*r(f). Find the second derivative of k(m) wrt m.
-34
Suppose -6 + 7 = t. Let z(y) be the first derivative of -9*y**2 + t + y - 5 + 5*y**2. What is the first derivative of z(a) wrt a?
-8
Suppose v + 4*y + 1 = -7, 3*v - 4*y = 24. What is the second derivative of v*r**3 - r**3 + 0*r**3 + 11*r + 6*r**3 wrt r?
54*r
Let q(t) be the first derivative of -t**7/70 - t**5/12 + 6*t**2 - 15. Let s(m) be the second derivative of q(m). Find the third derivative of s(n) wrt n.
-72*n
Let f(j) be the second derivative of -313*j**8/28 + 5*j**4/12 - 19*j**2/2 - 570*j - 1. What is the third derivative of f(l) wrt l?
-75120*l**3
Let m(s) be the first derivative of -106*s**3/3 - 49*s + 97. Differentiate m(f) with respect to f.
-212*f
Let x(w) be the first derivative of 2 - 1/120*w**5 + 0*w**2 + 0*w + 1/8*w**4 - 4/3*w**3. Let i(f) be the third derivative of x(f). Differentiate i(k) wrt k.
-1
Let h(k) = 19*k - 13. Let a = -3 + 12. Let l be (-1 + 0)/(a/27). Let s(g) = 10*g - 7. Let c(t) = l*h(t) + 5*s(t). What is the derivative of c(v) wrt v?
-7
Let q(j) = -499*j**4 - 16*j**3 + 34*j - 17. Let o(r) = 498*r**4 + 20*r**3 - 34*r + 18. Let l(t) = -4*o(t) - 5*q(t). What is the second derivative of l(w) wrt w?
6036*w**2
Suppose 0 = 2*g - 52 + 20. What is the first derivative of -g + 3*u**2 - 13*u**2 + 17 wrt u?
-20*u
Let x(w) be the second derivative of 1/6*w**3 + 29/20*w**5 + 0*w**4 + 0*w**2 + 0 + 7*w. What is the second derivative of x(h) wrt h?
174*h
Let z(b) be the first derivative of -4*b**7/105 - 13*b**4/12 + 8*b**2 + 33. Let l(g) be the second derivative of z(g). Find the second derivative of l(t) wrt t.
-96*t**2
Let d(x) = 1158*x**4 - 9*x**3 - 9*x - 366. Let t(f) = 289*f**4 - 2*f**3 - 2*f - 92. Let n(s) = 2*d(s) - 9*t(s). What is the derivative of n(h) wrt h?
-1140*h**3
Let d = 2 - -16. What is the third derivative of d*u**2 + 446*u**6 + u**2 - 452*u**6 wrt u?
-720*u**3
Let b(g) be the second derivative of g**9/3024 - 3*g**5/40 - 7*g**4/6 - 10*g. Let s(j) be the third derivative of b(j). Differentiate s(v) wrt v.
20*v**3
Let j(t) be the second derivative of -173*t**7/42 + t**4/6 - 13*t**3/6 + 159*t. Find the third derivative of j(b) wrt b.
-10380*b**2
Suppose 4*o + 0 - 23 = 5*v, -o = 4*v + 10. What is the third derivative of -12*s**o + 56*s**4 - 117*s**4 + 97*s**4 wrt s?
864*s
Find the first derivative of 363*d**3 - 271 + 315*d**3 + 240*d**3 - 661*d**3 wrt d.
771*d**2
Let s(z) = 533*z**3 - 6*z**2 - 12*z - 717. Let k(u) = 1067*u**3 - 11*u**2 - 22*u - 1433. Let q(w) = 6*k(w) - 11*s(w). Find the first derivative of q(g) wrt g.
1617*g**2
Let t(w) = -w**2 - w + 1. Suppose -8 = 37*i - 41*i. Let k(x) = 3*x**3 + 2*x**2 + 2*x + 1. Let d(o) = i*t(o) + k(o). What is the derivative of d(s) wrt s?
9*s**2
Let q(x) = -24*x**4 + 26*x**3 + 5*x**2 - 10*x - 726. Let g(a) = -36*a**4 + 39*a**3 + 8*a**2 - 16*a - 1089. Let s(p) = 5*g(p) - 8*q(p). Differentiate s(j) wrt j.
48*j**3 - 39*j**2
Let v(y) be the third derivative of -11*y**8/28 - y**5/60 + 5*y**4/24 - 63*y**2. What is the third derivative of v(i) wrt i?
-7920*i**2
Suppose -3*m + 5 = -3*o - 64, 5*m + 3*o = 147. Let v be (-188)/(-36) - 6/m. Find the third derivative of 2*d**v - 5*d**2 - 3*d**2 + 6*d**2 wrt d.
120*d**2
Let b(o) be the third derivative of 79*o**6/120 + o**5/20 + o**3/3 - 71*o**2. Find the third derivative of b(s) wrt s.
474
Let d(y) be the first derivative of y**6/6 - 215*y**4/4 + 226*y**2 - 433. Find the second derivative of d(t) wrt t.
20*t**3 - 1290*t
Let d(h) be the first derivative of -46/3*h**3 + 0*h - 51/4*h**4 + 28 + 0*h**2. Find the third derivative of d(s) wrt s.
-306
Let t(i) be the first derivative of -2*i**7/105 - 5*i**4/24 - 9*i**2 - 21. Let g(o) be the second derivative of t(o). Find the second derivative of g(p) wrt p.
-48*p**2
Let v(y) = -6*y**4 - 8*y**3 + 4*y**2 + 674. Let r(o) = 5*o**4 + 9*o**3 - 6*o**2 - 674. Let j(t) = -2*r(t) - 3*v(t). What is the derivative of j(u) wrt u?
32*u**3 + 18*u**2
Let q = -23 + 42. Let l = q + -15. Find the first derivative of l*t**2 + 83*t - 83*t - 6 wrt t.
8*t
Find the second derivative of 119*a + a**4 + 6*a**5 - a**4 - 44*a - 16*a**3 - 9*a**5 wrt a.
-60*a**3 - 96*a
Let a(p) be the second derivative of 325*p**8/56 + 127*p**4/4 + 274*p. What is the third derivative of a(m) wrt m?
39000*m**3
Let g(b) be the second derivative of 0 + 6*b - 1/5*b**5 + 0*b**2 + 0*b**3 + 1/12*b**4. Find the third derivative of g(k) wrt k.
-24
Let m(h) = 397*h**3 + 338*h**2 + 11*h - 11. Let q(o) = 132*o**3 + 113*o**2 + 4*o - 4. Let w(p) = 4*m(p) - 11*q(p). What is the third derivative of w(r) wrt r?
816
Find the first derivative of -4*h**2 + 5 + 6*h + 247 - 6*h wrt h.
-8*h
Let b(i) = 23*i - 6*i - 2*i**2 - 3*i**2 + 94. Let w(p) = 2*p**2 - 6*p - 31. Let s(y) = -6*b(y) - 17*w(y). What is the derivative of s(o) wrt o?
-8*o
Find the second derivative of 2298 - 27*z + 2289 - 162*z**2 - 4589 wrt z.
-324
Find the third derivative of -s**2 + 15*s**6 + 19*s**2 + 131*s**5 + 3 - 14*s**6 - 64*s**2 wrt s.
120*s**3 + 7860*s**2
Let y(a) be the third derivative of a**6/120 + 11*a**5/20 - 7*a**4/24 - a**3/2 - 2*a**2 + 5*a. What is the second derivative of y(g) wrt g?
6*g + 66
Let z = -171 + 171. Let n(d) be the second derivative of 0 + 1/30*d**6 + 0*d**4 + z*d**5 + 0*d**2 + 5*d + 1/3*d**3. Find the second derivative of n(q) wrt q.
12*q**2
Let w(t) be the second derivative of -9/2*t**2 + 0 - 4*t - 7/6*t**3. Find the first derivative of w(o) wrt o.
-7
Differentiate 102*m**2 + 43*m**3 + 201*m**3 - 5*m**3 - 102*m**2 - 289 wrt m.
717*m**2
Let k(j) = -40*j**4 + j**3 + j**2 + j - 60. Let o(r) = -r**4 - r**3 - r**2 - r - 1. Let f(t) = -k(t) - o(t). What is the derivative of f(x) wrt x?
164*x**3
Differentiate 20 - 17 + 22 + 29 - 60*v wrt v.
-60
Suppose -11*c = -13*c + 18. What is the second derivative of -c*q - 145 + 145 - 24*q**2 wrt q?
-48
Differentiate -228 + 3*q**4 + 295 - 6*q**2 - q**4 wrt q.
8*q**3 - 12*q
Let y = -26 + 31. Find the first derivative of 8 - 2 - y*n**2 - 4 + 9 wrt n.
-10*n
Let r be 2/(-5)*1425/(-45)*3. What is the third derivative of 12*h**6 + r*h**6 - 15*h**2 - 20*h**6 + h wrt h?
3600*h**3
What is the derivative of -61 - 61 - 83*s**2 - 180*s**4 + 91*s**4 + 91*s**4 wrt s?
8*s**3 - 166*s
Let l = -14 - -19. Suppose -r = -3*d + 8*d - 25, -l*r = d - 5. What is the first derivative of 0 - 6 + d*w**2 - 6*w**2 wrt w?
-2*w
Let n = -36 + 38. What is the second derivative of 2*s**2 + 3*s**2 - s - 7*s**n - 7*s**2 wrt s?
-18
Let j = 80 + -76. What is the third derivative of -33*c**4 + 16*c**4 - 9*c**j + 19*c**2 wrt c?
-624*c
Let q(g) be the first derivative of 35*g**4 - 5*g**2 - g - 159. Find the second derivative of q(v) wrt v.
840*v
What is the third derivative of -63 - 3*q**4 + 10*q**6 - 4*q**6 + 63 + 161*q**2 wrt q?
720*q**3 - 72*q
Let i(x) be the first derivative of 4*x**6/15 - 5*x**2/2 - 8*x + 7. Let w(u) be the first derivative of i(u). What is the derivative of w(p) wrt p?
32*p**3
Let x(z) = 993*z**2 - 771*z. Let g(n) = -497*n**2 + 387*n. Let b(i) = 9*g(i) + 4*x(i). Find the second derivative of b(c) wrt c.
-1002
Let i(x) = 4*x**5 + 49*x**3 + 2*x**2 - 8*x - 2. Let y(k) = k**5 + k**3 + k**2 + k - 1. Let t(s) = i(s) - 2*y(s). What is the second derivative of t(q) wrt q?
40*q**3 + 282*q
Let b(h) = -436*h**4 - 3*h**2 + 3*h + 501. Let n(t) = 440*t**4 + 2*t**2 - 2*t - 503. Let s(w) = -2*b(w) - 3*n(w). What is the derivative of s(x) wrt x?
-1792*x**3
Let m be (-1 + 2)/(1/3). Let r(w) = -w**2 + 16*w + 24. Let t be r(17). Find the third derivative of -12*j**3 + 3*j**m + 7 - t + j**2 wrt j.
-54
Suppose 4*g + 7*n = 8*n + 131, 3*n = -5*g + 151. Fi
|
{
"pile_set_name": "DM Mathematics"
}
|
e t(36).
963
Let p(n) = 183*n**2 + 1090*n - 43. What is p(-6)?
5
Let i(g) = g**3 - 27*g**2 + 50*g - 195. What is i(23)?
-1161
Let v(j) = j**3 - 53*j**2 + 675*j + 428. Calculate v(21).
491
Let t(p) = -2*p**3 + 34*p**2 - 119*p + 15. What is t(5)?
20
Let x(u) = -36*u**3 + 168*u**2 + 759*u + 14. What is x(-4)?
1970
Let v(k) = 803*k**2 + 3738*k - 4. Calculate v(-4).
-2108
Let s(z) = -129*z**2 + 3659*z - 694. Give s(28).
622
Let v(k) = 98*k**2 + 8523*k - 170. Determine v(-87).
91
Let j(d) = -181*d + 1734. Determine j(5).
829
Let v(n) = n**3 + 856*n**2 - 21124*n - 3534. What is v(-880)?
-14
Let a(j) = 2164*j + 173125. Give a(-80).
5
Let n(x) = -7312*x - 109644. What is n(-15)?
36
Let j(l) = 332*l + 66238. Calculate j(-203).
-1158
Let k(m) = -54*m**3 - 470*m**2 + 8*m + 63. Determine k(-9).
1287
Let t(i) = -9685*i + 12629227. What is t(1304)?
-13
Let m(a) = a**3 - 270*a**2 + 2081*a + 3931. Give m(262).
1
Let h(d) = 73*d + 5499. What is h(-39)?
2652
Let v(q) = -3*q**3 + 16*q**2 + 20*q - 29. Determine v(-2).
19
Let p(a) = -1259196*a + 2518376. Give p(2).
-16
Let i(p) = -p**2 - 40*p + 1568. What is i(-68)?
-336
Let i(m) = -m**2 - 2194*m - 571364. Calculate i(-302).
20
Let p(g) = -g**3 - 332*g**2 - 2819*g - 73538. Determine p(-324).
10
Let m(x) = 136*x + 4014. Calculate m(-10).
2654
Let v(d) = d**3 - 10*d**2 + 29*d - 264. Determine v(8).
-160
Let h(v) = -v**3 - 23*v**2 + 20*v + 8. Give h(1).
4
Let c(t) = -3*t**3 - 4450*t**2 - 8902*t + 5. Give c(-2).
33
Let n(r) = -107*r**2 + 1967*r - 243. Calculate n(19).
-1497
Let n(m) = 3*m**3 - 175*m**2 + 1694*m + 384. Determine n(46).
16
Let b(v) = 2*v**3 - 120*v**2 + 1274*v + 613. Determine b(46).
-31
Let k(u) = 3*u**3 + 199*u**2 - 116*u - 60. Give k(-67).
-1266
Let o(r) = 3485*r - 17587. What is o(5)?
-162
Let x(p) = -64*p**2 - 30686*p + 16324. What is x(-480)?
4
Let l(f) = f**3 + 70*f**2 + 743*f + 1387. Give l(-10).
-43
Let j(w) = w**3 - 1640*w**2 + 48285*w + 471. Determine j(30).
21
Let m(r) = -1107211*r + 19929802. Determine m(18).
4
Let d(l) = -5547*l - 3611084. What is d(-651)?
13
Let i(u) = 9421*u + 28506. What is i(-3)?
243
Let l(m) = -1005*m + 52558. What is l(54)?
-1712
Let r(t) = t**2 + 1289*t + 165. What is r(0)?
165
Let s(h) = -5913*h - 230635. Give s(-39).
-28
Let w(h) = -h**2 + 1773*h - 22841. Give w(13).
39
Let l(x) = -58*x + 1017. Give l(50).
-1883
Let o(m) = -2*m**2 - 2770*m - 421397. Calculate o(-174).
31
Let w(l) = l**3 - 114*l**2 + 2568*l + 400. Give w(83).
-15
Let f(d) = -39772*d - 79159. Determine f(-2).
385
Let j(g) = -2*g**3 + 1153*g**2 + 1867*g - 76868. Calculate j(578).
6
Let b(w) = 5*w**2 - 109*w + 1620. Give b(14).
1074
Let d(y) = 5*y**2 - 1011*y + 6801. Calculate d(195).
-219
Let n(p) = -p**3 - 24*p**2 - 5452*p - 136933. Calculate n(-25).
-8
Let d(x) = 2*x**3 + 146*x**2 - 2034*x - 66. Determine d(12).
6
Let i(l) = l**3 + 103*l**2 - 3827*l - 20822. Give i(-131).
7
Let v(f) = 49*f**2 + 25871*f - 505. Give v(-528).
23
Let x(k) = 1137*k + 266059. Give x(-234).
1
Let l(g) = -84*g**3 - 674*g**2 - 86. What is l(-8)?
-214
Let z(g) = -1412*g + 50867. Give z(36).
35
Let i(w) = 15610*w + 1092700. Calculate i(-70).
0
Let y(l) = 3*l**3 - 10*l**2 - 79*l + 275. Determine y(5).
5
Let v(i) = -11310*i - 226134. What is v(-20)?
66
Let x(f) = 19*f**2 - 1065*f - 5787. Determine x(-5).
13
Let i(g) = -36989*g - 148958. Determine i(-4).
-1002
Let a(t) = 461*t**2 - 5051*t - 104. Calculate a(11).
116
Let i(h) = -18*h**3 - 608*h**2 + 32*h - 3278. Give i(-34).
258
Let h(q) = q**2 - 38775*q + 968748. Give h(25).
-2
Let t(g) = -g**3 - 14*g**2 + 143*g - 114. Calculate t(7).
-142
Let n(d) = -d**3 - 22*d**2 + 1695*d + 33271. Give n(-19).
-17
Let f(z) = -z**3 - 5*z**2 - 4793*z - 38534. Determine f(-8).
2
Let z(f) = 734*f - 4795. Give z(7).
343
Let k(m) = 1767*m - 65390. Determine k(37).
-11
Let c(u) = -4259*u + 225803. Calculate c(53).
76
Let d(a) = 847*a + 60988. Give d(-72).
4
Let a(c) = -8417*c + 8556. Determine a(1).
139
Let h(t) = t**3 - 71*t**2 + 1228*t - 257. Calculate h(29).
33
Let y(r) = -20*r**2 - 2489*r - 4973. Give y(-2).
-75
Let a(r) = -r**2 + 282*r - 8818. Determine a(37).
247
Let t(y) = -10975*y + 142670. Give t(13).
-5
Let o(m) = m**3 - 2*m**2 - 80*m + 676. Give o(6).
340
Let x(n) = -34*n**3 + 476*n**2 + 3637*n - 50909. Give x(14).
9
Let x(v) = -2*v**2 - 11268*v + 123863. Calculate x(11).
-327
Let p(a) = 315*a + 16577. What is p(-44)?
2717
Let r(v) = v**2 - 11078*v + 143850. Calculate r(13).
5
Let w(d) = -5*d**2 + 6389*d - 1166923. Determine w(1057).
5
Let s(l) = -3*l**3 + 264*l**2 - 232*l - 2530. What is s(87)?
-7
Let o(w) = -4*w**2 - 635*w - 4430. Calculate o(-7).
-181
Let w(s) = s**3 - 34*s**2 - 1962*s + 68788. Determine w(38).
8
Let i(a) = -2*a**2 + 6*a - 86. What is i(4)?
-94
Let i(n) = -5660*n + 1267905. What is i(224)?
65
Let w(u) = 552*u**2 + 3359*u + 452. Calculate w(-6).
170
Let p(c) = -c**2 - 635*c - 29786. Calculate p(-52).
530
Let c(x) = 609143*x - 9137135. Calculate c(15).
10
Let l(f) = 416*f**2 + 284*f + 284. Calculate l(-1).
416
Let f(l) = 360*l**2 + 17*l + 11. What is f(-1)?
354
Let l(k) = 3*k**3 + 22*k**2 + 34*k + 5. Calculate l(-5).
10
Let d(g) = -120*g - 30478. What is d(-254)?
2
Let n(x) = -10*x**2 - 1065*x - 7399. Give n(-99).
26
Let m(j) = -109*j**3 - 9049*j**2 - 298*j - 10954. Calculate m(-83).
2
Let k(q) = 14664*q - 542263. Give k(37).
305
Let g(y) = -23373*y - 116383. Calculate g(-5).
482
Let d(w) = 987*w**2 + 1956*w - 10. Calculate d(-2).
26
Let d(m) = 4*m**2 - 647*m - 9108. Give d(174).
-582
Let f(t) = 24214*t**2 + 24198*t - 10. Calculate f(-1).
6
Let w(n) = -17*n**3 - 84*n**2 - 72*n - 395. Calculate w(-5).
-10
Let d(n) = -1109*n + 108720. What is d(98)?
38
Let g(d) = 7*d**2 - 880*d + 27499. Calculate g(58).
7
Let l(h) = -3607*h + 4746778. Calculate l(1316).
-34
Let n(t) = -4958*t + 44079. Give n(9).
-543
Let k(n) = 314*n + 17930. Give k(-57).
32
Let y(o) = 6*o**3 - 37*o**2 - 13*o + 4. Determine y(0).
4
Let a(o) = -837399*o - 18422778. What is a(-22)?
0
Let m(x) = 4*x**3 + x**2 + 46*x. Give m(-5).
-705
Let d(n) = n**3 + 12*n**2 - 2438*n - 33997. Give d(-14).
-257
Let a(s) = 2200*s + 13060. Calculate a(-6).
-140
Let o(p) = 8*p**2 - 98*p + 942. Give o(11).
832
Let k(z) = 10*z**2 + 33967*z - 33973. What is k(1)?
4
Let p(i) = 5*i**3 + 9*i**2 - 679*i - 2555. What is p(-4)?
-15
Let g(v) = -2*v**2 - 684*v - 44267. Determine g(-255).
103
Let t(h) = -2*h**3 + 270*h**2 - 532*h. Determine t(133).
0
Let v(k) = -69709*k - 1882144. Give v(-27).
-1
Let k(y) = -y**3 + 11*y**2 + 172*y + 317. Give k(-2).
25
Let z(t) = 73158*t + 438908. Give z(-6).
-40
Let u(r) = 2*r**2 - 233*r - 888. Calculate u(118).
-534
Let g(m) = -301949*m + 1509747. Determine g(5).
2
Let t(u) = -u**2 - 3499*u + 14050. Determine t(4).
38
Let l(t) = 3*t**2 + 396*t - 2904. Give l(-139).
15
Let x(c) = 2*c**3 - 39*c**2 + 32*c + 399. What is x(18)?
3
Let j(f) = -9909*f - 29699. Calculate j(-3).
28
Let x(u) = -u**2 + 1060*u + 26359. Determine x(-24).
343
Let d(c) = -c**2 - 262*c + 1934. What is d(7)?
51
Let n(c) = -2553*c + 25932. Determine n(10).
402
Let p(a) = -13*a**2 + 621*a - 5798. Determine p(25).
1602
Let l(m) = -167*m - 3959. Give l(-23).
-118
Let o(r) = 1988*r + 1743449. Calculate o(-877).
-27
Let b(x) = x**2 - 363*x + 23240. Give b(83).
0
Let n(i) = 117588*i - 14580916. Determine n(124).
-4
Let w(y) = -5*y**3 + 1235*y**2 - 94*y + 23208. What is w(247)?
-10
Let j(z) = -6384*z + 19094. Calculate j(3).
-58
Let w(u) = -20*u**3 - 9581*u**2 - 350*u + 61772. What is w(-479)?
-19
Let s(w) = 10*w**2 + 6*w + 72. Give s(0).
72
Let s(c) = 47*c**2 + 5681*c - 659. What is s(-121)?
67
Let w(v) = 11*v**3 + 169*v**2 + 57*v + 6. Calculate w(-15).
51
Let h(c) = -9*c**2 + 598*c + 15564. What is h(-20)?
4
Let g(z) = z**3 - 17*z**2 - 96*z - 132. What is g(-2)?
-16
Let v(f) = -29*f**3 - 6607*f**2 + 1141*f + 128. Determine v(-228).
-100
Let s(g) = -8*g**3 - 745*g**2 - 137*g - 4106. What is s(-93)?
-14
Let c(l) = -4*l**2 - 726*l - 22038. Give c(-39).
192
Let z(g) = -2*g**3 + 305*g**2 + 453*g + 1380. What is z(154)?
-6
Let a(q) = q**3 + 87*q**2 + 1519*q - 53. What is a(-24)?
-221
Let j(i) = 5224*i**2 - 1556756*i + 1190. Calculate j(298).
-2
Let f(s) = 5781*s + 57636. Determine f(-10).
-174
Let r(c) = 14*c**3 - 18*c**2 + 76*c + 21. Calculate r
|
{
"pile_set_name": "DM Mathematics"
}
|
**4 - 28*w**3 - 8*w**2 + w
Expand (-3 + 2 + 3)*(2 - 13 - 7)*(i - 2*i + 0*i)*(0*i + 0*i + i).
36*i**2
Expand (0*l - l - l)*(-l + 2*l + 0*l)*(-56 - 15 + 10)*(-2*l + 5*l - l)*(3 - 1 - 3).
-244*l**3
Expand (0*c - 3*c + 5*c)*(1 - 4 + 4) - 1 + 1 + c + (10*c - 69*c - 41*c)*(0 - 2 + 3).
-97*c
Expand (4 - 3 - 3)*(j**4 - 2*j**4 - j**4) - 2*j**4 + 2*j**3 - 2*j**3 + 313*j**2 - 313*j**2 + 41*j**4.
43*j**4
Expand 4*i**3 - 2*i**4 - 4*i**3 + (-2*i**2 + i**2 + 0*i**2)*(i**2 + 0*i**2 - 2*i**2) + 15*i**4 - 21*i**4 + 95*i**4.
88*i**4
Expand (5*u**3 - u**3 + 0*u**3)*(1420 - 1420 - u**2).
-4*u**5
Expand (3 - 1 - 1)*(8*m**2 - 8*m**2 + 6*m**3) + 21*m**3 - m**3 + 2*m**3 + (-4*m + m + 2*m)*(4*m**2 + 4*m**2 - 6*m**2) + 0 - 2*m**3 + 0.
24*m**3
Expand -19*p**3 - 6*p**3 - 4*p**3 - 2 + 2*p**3 + 0*p + 0*p + (-2*p**2 + 2*p**2 - p**2)*(4*p - 4 + 4) + p**3 + 0*p**2 + 0*p**2.
-30*p**3 - 2
Expand (7 - 7 - 4*r)*(-4*r + 4*r - 2*r)*((r + 0*r + r)*(2*r - r + 0*r) + 1705 + 105*r**2 - 1705 + (-2*r + 3*r + r)*(-r - 3 + 3)).
840*r**4
Expand -2*o - 3*o + 4*o - 3*o + 2*o - o + (4 - 3 - 3)*(-2 + 2 - 2*o) + 42 + 894*o - 42.
895*o
Expand (4 + 4 + 5)*(7*v**3 - 9*v**3 - 8*v**3) + 4*v + v**3 - 4*v.
-129*v**3
Expand (2*h**4 + h**4 - 4*h**4)*(-2*h + h + 0*h) + (0 + 0 + h**2)*(-h**2 + 2*h**3 + h**2) - h**3 + h**3 + 2*h**5 - 10*h**5 - 8*h**5 - 17*h**5.
-30*h**5
Expand (52 - 4 - 24)*(-3 + 4 + 2)*(2 - 6 + 3)*(0*v - 4*v + 2*v).
144*v
Expand -2*g**5 - 9*g**3 + 1235 - 1235 + (1 + g**4 - 1)*(0*g + g - 3*g).
-4*g**5 - 9*g**3
Expand ((0 - 4 + 3)*(18 - 5 - 2) + 4 - 5 - 2)*(7*m - 6*m + 2*m)*(m - 2*m + 3*m).
-84*m**2
Expand 81*p**2 + 51*p**2 - 16*p**2 - p**2 + 0*p**2 - 2*p**2 + 2*p**2 - 5*p**2 + p**2 + (-p + 3*p - p)*(-1 - p + 1).
110*p**2
Expand (-205*t**2 + 265*t**2 - 2*t + 135*t**2 + 3)*(2 + 1 - 5).
-390*t**2 + 4*t - 6
Expand 3 - 17*f**5 - 7*f**4 - 4 + 15*f**5 + 0*f**5 - f**5 - 2*f**5 + (-6*f**2 + 4*f**2 + 3*f**2)*(-3*f**3 + f**3 + 0*f**3).
-7*f**5 - 7*f**4 - 1
Expand -6 + 6 - 2*m + 6 + (2*m + 1 - 3*m + 0)*(-25 + 15 + 35).
-27*m + 31
Expand (22*w + 27 - 27)*(-2*w**3 - 3*w**3 + 2*w**3 + (w + 2*w - 6*w)*(-2*w**2 - 3 + 3)).
66*w**4
Expand (-42*d - 173 + 173)*(2 - 3 - 1)*(-2 + 3 - 3).
-168*d
Expand ((-4*a + 3*a + 3*a)*(1 + 4 - 4) - 113*a + 474*a - 135*a)*(0 + 0 + a).
228*a**2
Expand (0*j - j - j + (j - j + j)*(-1 - 3 + 5) + 18 - 18 + 13*j)*(-1 + 0 - 3).
-48*j
Expand (5*x - 2*x - 3*x**3 + 0*x**3)*(-163*x**2 - 65*x**2 + 14*x**2 + 413*x**2).
-597*x**5 + 597*x**3
Expand (0 + 0 + 1)*(w + 28 - 28) - w + 4*w + 4*w.
8*w
Expand (-92*y**5 + 75*y**3 - 75*y**3)*(-1 + 1 - 1).
92*y**5
Expand (3684*u - 7320*u - 2*u**2 + 3694*u + 3)*(-1 + 2*u**2 + 1).
-4*u**4 + 116*u**3 + 6*u**2
Expand (-3*x**5 + 4*x**5 + 0*x**5)*(-7 - 54 + 123).
62*x**5
Expand 3*j**2 - j**2 - 4*j**2 + (-16 + j + 16)*(14*j - 30*j - 12*j) - 2*j**2 - 2*j**2 + 2*j**2.
-32*j**2
Expand (5 + 2*i**2 - 5 + (-2 + 0 + 4)*(3*i**2 + 2 - 2) - 2*i**2 + 0*i**2 + 0*i**2)*(0*i - 3*i - 2*i**2 + 5*i).
-12*i**4 + 12*i**3
Expand (1630*b**2 + 314*b**5 - 1630*b**2)*(2 + 0 - 1) + 2*b**5 + b - b - b**4 + b**5 + 3*b**4 - 2*b**5.
315*b**5 + 2*b**4
Expand (-9*l**4 + 2*l**4 - 4*l**4)*(3*l - 3*l + l) + (2*l - 4 + 4)*(12*l**4 + 31 - 31).
13*l**5
Expand (199*y - 14*y**3 - 199*y)*((0*y + 0*y + y)*(-3 + 3 + 2) + (1 - 2*y - 1)*(6 - 4 - 1) - 2*y + 2*y - 2*y).
28*y**4
Expand -1538*l**5 + 12*l + 6*l + 1549*l**5 - l**5 + 2*l**5 + l**5 + (-4 + 4 + 1)*(-3*l**5 + 4*l**5 + l**5) + 4*l**5 - l**5 - 2*l**5.
16*l**5 + 18*l
Expand (5*f**2 - f**2 - 5*f**2)*(-58 + 22 + 21 + 2*f).
-2*f**3 + 15*f**2
Expand (2 - 2 - 2)*(3*c + 6*c + 2*c) - 5*c - 5*c - 5*c.
-37*c
Expand (2*g**5 + 15*g**3 + 21704*g**2 - 21704*g**2)*(-4 + 3 + 0)*(2 + 2 - 3).
-2*g**5 - 15*g**3
Expand (217 + 41 - 95)*(7*a - 8*a + 2 + 1).
-163*a + 489
Expand (0*y + 0*y + 2*y)*(0 + 0 - y) - 2*y**2 - 3*y**2 + 6*y**2 - 11*y**2 - 6*y + 6*y + 5*y - 3*y + 134 - 139 - y**2.
-13*y**2 + 2*y - 5
Expand (-3 - 2 + 2)*(1 - 1 - 3)*(-5*b + 20*b + 20*b).
315*b
Expand -65*b + 65*b - 63*b**4 + (0*b**3 - b**3 - 6*b**3)*(5*b - 5*b - 2*b).
-49*b**4
Expand 0*j**3 + 4*j**3 - 6*j**3 + (-j**2 - 2*j**2 + 2*j**2)*(-113*j + 1483 - 1483).
111*j**3
Expand (-3*o + 3*o - 3*o**2)*(-4 + o**3 + 4) + (o + 0 + 0)*(-8*o**4 + 0*o**4 + 0*o**4).
-11*o**5
Expand (-2*i - 2*i - 5*i)*(9 - 3*i**2 - 11 - i**2).
36*i**3 + 18*i
Expand (-b - 1 - b - 2)*(14*b + 62*b - 122*b).
92*b**2 + 138*b
Expand (-140 + 69 + 70 - 3*a**3)*(5*a - 4*a - 2*a).
3*a**4 + a
Expand (558*q - 557*q + 120 + 187)*(8*q + 0*q - 3*q).
5*q**2 + 1535*q
Expand (-8*t**2 - t**2 - t**2)*(-t**3 - 3*t**3 + 3*t**3) + 7*t**5 - 2*t - 2*t - 9*t**5 + (1 + 0 + 1)*(-2*t**3 + 2*t**3 - t**5).
6*t**5 - 4*t
Expand (-15*f - 20*f + 24*f)*(-2 + 1 - 1)*(-4 + 2 + 3) - 8*f + 4*f - 2*f + (2*f - 2*f - 2*f)*(3 - 3 + 2) + 2*f + 3*f - 3*f.
14*f
Expand (-2*f + 0*f + 4*f)*(-2*f**3 + 2*f - 2*f) - 2*f**4 + 3*f**4 - 2*f**4 - 21*f**4 - 9 + 9 - 4*f**4 - f**4 + 4*f**4 - f**4 + 1 - 1.
-28*f**4
Expand -39*k**2 + 71*k**2 + 185*k**2 + (0 + 2*k + 0)*(-k + k + 2*k).
221*k**2
Expand (-9*j - 4*j + 2*j)*(3 + 1 + 2)*(2 + 10 + 1).
-858*j
Expand -9*b**3 - 4*b**3 - 53*b + 51*b + (0*b - 13*b + 2*b)*(0*b**2 + b**2 + 0*b**2).
-24*b**3 - 2*b
Expand -3*v**5 + 5*v**5 - v**5 + 2*v**4 + v**5 - 2*v**4 + (0 - 3 + 2)*(-5*v**5 + 0*v**5 + 2*v**5) - v**5 + 3*v**5 - v**5.
6*v**5
Expand (0*l**2 + l**2 + 0*l**2)*(-14 + 6 + 8 + 96*l**2).
96*l**4
Expand (-4*m**2 + 3*m**2 - m**2)*(-4*m + 4*m + 4*m) + m**3 - m**3 + 2*m**3 + 10.
-6*m**3 + 10
Expand (1 - 4 + 2 + (0 - 2 - 2)*(-3 + 1 + 3))*(-4*s**2 - 2*s**2 - 9*s**2).
75*s**2
Expand n**3 + 4*n**3 - 4*n**3 + (0*n - n + 3*n)*(-n**2 - n**2 + 0*n**2) + (0 - 4*n**3 + 0)*(13 + 0 + 1).
-59*n**3
Expand (6*b**2 - 6*b**2 - 27*b**3)*(6*b - 3*b + 2*b).
-135*b**4
Expand -2612*m**4 + 2612*m**4 + 88*m**5 - 1 + 2*m**5 + 1 + (-2*m**4 + 2*m - 2*m)*(1 - 2*m - 1) + (-5 + 3 + 1)*(m**2 - m**2 - 2*m**5).
96*m**5
Expand ((-w - 2*w + 2*w)*(2 + 7 - 1) + 2*w - 3*w - 2*w)*(7 - 7 + 4*w)*(-1 + 3 + 0).
-88*w**2
Expand (3*y - 18*y - 42*y)*(3*y - 3*y + 3*y)*(-1 + y + 1) - 2*y**3 - 2 + 2.
-173*y**3
Expand (63*s + 298 - 61*s - 17)*(s**2 - 1 + 1).
2*s**3 + 281*s**2
Expand (-23*z + 23*z - z**3)*(3*z**2 - z**2 - 3*z**2) - 5*z**5 + 4*z**5 + 4*z**5 + (-z - 2*z**3 + z)*(0*z + 4*z**2 + 0*z) - z**5 - 2 + 2.
-5*z**5
Expand (2*y**2 + 0*y**2 + 0*y**2)*(4 + 1 - 4) - 3*y - 2*y**2 + 3*y + 5*y - 5*y + 7*y**2 + 3*y**2 + 2*y**2 - 3*y**2 + (-3*y + 4*y - 2*y)*(-4*y + 0*y + 5*y).
8*y**2
Expand (5*d**3 - 5*d**3 - d**3)*(0 + 2 - 4) + (652*d + 3*d**3 - 652*d)*(-6 + 3 + 1).
-4*d**3
Expand -f + 4 - 4 + (-3*f - 4*f + 5*f)*(3 - 3 + 1) + 2 - 2 - f + 4 + 2*f - 4 + (4 + 1 + 7)*(28 - 6*f - 28).
-74*f
Expand (4 - 1 - 1)*(-2 + 2 + 2)*(-2*x**3 + 2*x**2 - 2*x**2)*(15 + 70 + 84).
-1352*x**3
Expand -5*n**4 - n**5 + 5*n**4 - 2*n**5 + 2*n**5 - 5*n**5 + (0*n**4 + 3*n**4 - 4*n**4)*(2*n + 0*n - n) + 3*n**5 + 0 + 0.
-4*n**5
Expand (3*g**2 - 7*g**2 - 5*g**2)*(g**3 + g**3 + g**3) + 3*g**2 - 3*g**2 + 3*g**5.
-24*g**5
Expand (0 - 2*w + 0)*(-3*w**4 + 7*w**4 - 3*w**4) - 10 + 6*w**5 + 15 - 3 - 2*w**5 + 2*w**5 - 5*w**5 + (2*w - 2*w + 2*w**4)*(-w + 3 - 3).
-3*w**5 + 2
Expand (-2 + 2 - 2*m**3)*(-308 + 920 - 307 - 304 + 449*m).
-898*m**4 - 2*m**3
Expand (-4*i + 6*i - 20*i)*(0*i - 13*i**4 + 0*i - 53*i**4).
1188*i**5
Expand (-g**2 - 10*g**2 + 3*g**2)*(-16 - 16 + 7).
200*g**2
Expand (3*a**3 + 2*a**3 - 3*a**3 + 2*a)*(-27 - 46 - 61 - 26).
-320*a**3 - 320*a
Expand (18 + 1 - 1)*(x - 3*x + x + x - x - x + (3*x - 2*x + 0*x)*(4 - 1 - 4)).
-54*x
Expand (-o**2 + 3*o**2 + 0*o**2)*(1 - 2 + 2)*(-2*o + o + 0*o - 7).
-2*o**3 - 14*o**2
Expand (f + f - 3*f)*(-4*f - 5*f + 4*f + (0 + 7 + 1)*(-2 - 1 + 1)*(2*f - 2*f + f)).
21*f**2
Expand -2*w + 10*w**4 + 122*w**2 - 7*w**4 - w**4 + 0*w**2 - 2*w**4 + 0*w**2 + (-4*w**3 + 3*w**3 + 0*w**3)*(-2*w + 3*w + 0*w).
-w**4 + 122*w**2 - 2*w
Expand (-q**2 + 3*q**2 - 3*q**2)*(110*q**3 + 7716 - 7716) + 0*q**5 + 0*q**5 + q**5.
-109*q**5
Expand (-88601*c**2 - 53*c + 88601*c**2 + 5*c**3)*(0*c**2 + 0*c**2 + 2*c**2).
10*c**5 - 106*c**3
Expand (43 - 43 - 4*m)*(-3 + 2 - 4 + 5 + 516*m).
-2064*m**2
Expand (0 - 2*g + 0)*(0*g - 2*g + 3*g) + 171*g**2 - 14*g**2 + 22*g**2.
177*g**2
Expand (-2*w**3 + 3*w**3 - 2*w**3)*(-15*w**2 + 28*w**2 - 92*w - 15*w**2).
2*w**5 + 92*w**4
Expand u**2 - 4*u**2 + 2*u**2 + (0*u**2 + 4*u**2 - 2*u**2)*(1 - 3 + 4)
|
{
"pile_set_name": "DM Mathematics"
}
|
olve -2*y + 3 = -i*f - 13, -y + 3*f = -16 for y.
4
Let x(i) = i**3 - 7*i**2 + i - 5. Let q(j) = j**3 + 12*j**2 + 9*j - 15. Let y be q(-11). Let a be x(y). Solve 0 = 2*k + 4*p + 14, k + 3*k - a*p - 2 = 0 for k.
-1
Let j = -123 - -132. Suppose 13 = 2*s + 3*c, 3*c - j = -3*s + 6. Solve -2*n + 6 = b, -s = -6*b + 5*b - n for b.
-2
Suppose 37 = 4*d + 5*g, 0 = d + d + 5*g - 31. Suppose -d*k + k = -6. Solve k*b + 0*b = -r - 11, 3*b + 12 = 0 for r.
1
Let v(w) = -5 - 4*w + 1 + 4*w - w. Let s(p) = p**3 + p**2 - 3*p - 5. Let n be s(-3). Let z be v(n). Solve -t = 3*f + 4*t - 22, 2*f = -t + z for f.
4
Suppose -13*l + 7 + 32 = 0. Solve -3*p = -4*k - 2*p + l, 10 = 2*p for k.
2
Let l be (-15)/6*((-16)/(-5))/(-2). Solve -5*h - 15 = 5*b, -l*b = -2*b for h.
-3
Let v be -7*11 - 0/15. Let s be (33/v)/(2/(-14)). Solve -y + 2 - 3 = r, -15 = s*r for y.
4
Let c = 521 + -517. Solve 2*m = c*u + 26 - 2, 4*u + 2*m = -16 for u.
-5
Let y = -118 - -122. Let d = 10 + 69. Suppose z - 3*b = -4*b + 31, 5*b + d = y*z. Solve 0 = -t - 5, 4*t = -g + 3*g - z for g.
3
Let b be 444/(-4) - (4 + -2 - 6). Let t = b - -107. Solve -3*h + 4*s + 11 = t, 0 = -4*h - 4*s - 0*s + 24 for h.
5
Suppose 4*k - 6*k = 4*v - 14, -4*k - v + 14 = 0. Suppose -11*z + z + 288 = -12. Solve -s + 2*o = -14, -k*s + 5*o + 7 = -z for s.
4
Let t = 13 + -28. Let x be (t/9 + 6/9)*-2. Solve -2*n + 14 = -n - 3*c, -3*c = x*n + 8 for n.
2
Suppose -3*x = -o - 7, 0 = 3*x - 5*x - 4*o + 14. Suppose 0 = b - 2*b + 7. Let n be (-1 - b/(-4))*4. Solve n*s - x*i + 0 = 6, 0 = -3*s - 3*i + 18 for s.
4
Suppose 9*b - 1180 = -1162. Suppose -4*a + a + 12 = 0. Solve r + a*r = -4*n + 32, r = -b*n + 10 for n.
3
Let p(z) = 4*z**2 - 4*z. Let a be p(1). Solve a = -4*n - 5*g - 3 - 2, 4*g = -4*n - 4 for n.
0
Let o = 613 + -609. Solve -k = -3*u - 13, 4*k = -o*u + u - 23 for k.
-2
Let d = 71 + -68. Solve 5*h = 5*c - 5, -c + 1 + 10 = -d*h for c.
-4
Let u = 0 + -5. Let o be 4/6 - u/15. Suppose -z = o - 3. Solve -z*v - 2*s + 26 = 2*v, -2*s = v - 11 for v.
5
Suppose 249 = 4*g - 5*x, 5*g + 3*x - 270 = x. Let l be (-8)/g + (-1)/(-7). Suppose -5*s + 5*u = 10, -5*u - 6 + 31 = l. Solve 2*p - p + 3 = -2*w, s*p = 15 for w.
-4
Let m be (-30)/(-9)*(-12)/8. Let k be 52/20 - 2/m. Solve 4*t = k*v, -v = -5*v + 2*t for v.
0
Let y = -41 + 61. Let z = y + -17. Suppose -5*k + z*k = 0. Solve -2*a + 5*t - 28 = k, a - 8 = 2*a - t for a.
-4
Let w be (66/18*-3)/(3/(-3)). Solve -6 = -5*q - y + 8, w = 4*q + y for q.
3
Suppose -3*i = 3*f + 18, i + 6 = f + 8. Suppose 17 = -3*c + 5*r, 64 = -5*c + 3*r + 9. Let g be f/c + (-84)/(-49). Solve 3*t + 4 = g*t + 2*u, 0 = -3*u for t.
-4
Let c be (-255)/(-289) + 4/34. Suppose -3*g - 12 = 0, g - c + 20 = 3*v. Solve 4*k - 5 = v*a - 24, k + 7 = 2*a for k.
-1
Let b be -2 + 4 + (-6)/(-2). Let x(y) = -4*y + 3*y - y**2 - 4*y**2 - 1 + 2*y + y**3. Let o be x(b). Solve 3*s - 5*w + 14 = 0, o*s = 4*w - 6 - 2 for s.
2
Let d be ((-11)/2)/(5/40). Let b = d + 50. Solve -s + b*s - 5*j = 0, 0 = -s - 5*j + 6 for s.
1
Let r(t) = 2*t**2 - 5*t + 2. Let h be r(3). Let s = 167 + -161. Suppose 4*x + 2 = s. Solve -h*n + z = -15 + x, 2 = 3*n + z for n.
2
Let o(p) = p**3 - p**2 - 4*p + 4. Let s be o(2). Let w = 0 - s. Solve w = -y - 3*k - 11, 5*k + 16 = -y - 1 for y.
-2
Let y = 15 + 81. Suppose -5*s + 462 - 132 = 0. Suppose p - 2 = 0, 4*d - s = p + y. Solve -d = -5*b - 4*c - 5, -b + 12 = 2*c for b.
4
Suppose -4*l = 5*u - 51, -u + 31 = 2*u + 2*l. Suppose -9 = -2*f + u. Solve 0*t = 3*t + x + f, -3*t = -4*x + 35 for t.
-5
Let t = -958 + 960. Let x(s) = -s + 8. Let p be x(6). Suppose -t - p = -v. Solve b - 7 = -4*u, -2*u - v = 2*b - 0*b for b.
-5
Suppose 136 = -12*w + 172. Let d be 6 - (-2 - 4*-1). Solve -3*c = -w*m, c = d*m + 3 + 12 for m.
-5
Suppose 8 = 4*o - 0*o, -2*t - 2*o = -14. Let w be (t + 1)/((-3)/(-2)). Suppose 0 = 2*d - w. Solve -s = -4*v - 6, s = 3*v + d*v + 7 for s.
2
Suppose 4*b = -l + 2 + 17, -5*b + 32 = 4*l. Solve -b*i + 20 = -0, 2*t + 15 = 3*i for t.
0
Suppose -3*w = -5*x - 7*w + 31, -7 = 3*x - 4*w. Solve -x*v - 3 = -2*s, v = -4*s - 2*v - 3 for s.
0
Let o(t) = 2*t**2 + t - 6. Let s be o(2). Solve -6*h = 4*m - h - 9, 0 = 4*h - s for m.
1
Let c = 39 - 37. Suppose -2*z - 2*g = -8, 9 = 3*z - g - 7. Solve 13 = 2*w + z*o, 0*w - w = o - c for w.
-1
Let w(f) = 2*f**3 - 2*f**2 - f + 1. Let j be w(2). Suppose j*l = -l + 56. Solve -2*d + l*o = 4*o + 17, -9 = -3*o for d.
-4
Suppose -z = -2 - 2. Let l be (-1 - -2) + -2 + -12. Let f(p) = -3*p - 36. Let d be f(l). Solve d*g - g + z*j = -12, 3*j = -3 for g.
-4
Let g be (-22)/(-5) + (-48)/(-80). Solve -5*c - 20 = -2*t, -1 = -c + 2*t - g for c.
-4
Let a be ((-279)/186)/((-6)/8). Solve a*q = -6, -q = -3*z - 0*q for z.
-1
Suppose -8 + 22 = o. Suppose z - o*z = -195. Solve -5*j = -4*r - z, 3*j = 2*r + 5 + 2 for r.
-5
Suppose -16*o + 17*o - 23 = 0. Let s = o - -6. Solve 5*h = -3*v - s, -h + 3*v - 3 = 2*h for h.
-4
Let d = -26 + 13. Let n = d + 13. Solve 5*w = -2*q - 18, 4*q = w - n*w + 8 for q.
1
Let d = -30 - -48. Let h be (12/d)/((-4)/(-30)). Solve -2*m = 2*t - 2, 0*m + 3*m + 5 = -h*t for t.
-4
Suppose -2*n + 3*b + 18 = -n, -n - 2*b + 8 = 0. Let a = 14 + -10. Suppose a*p - 2 = 3*x, 2 = -x - 4*p + 12. Solve -x*s = 4*l - 0*l + n, 5*s = 3*l + 35 for l.
-5
Let g be (((-30)/(-7))/(-5))/(3/(-252)). Let x = g - 68. Solve 0 = 4*q - 8 - 12, -3*t + 11 = x*q for t.
-3
Let u be 48/18*(-3)/(-1). Suppose u*a = -2*a. Solve 0 = -5*o - t - 0*t - 18, a = -t + 2 for o.
-4
Suppose 0*k = k. Let a = 4876 + -4872. Solve -c - 2 = -k*v + 2*v, -4*c - 20 = -a*v for c.
-4
Let f(n) = -5 - 15 - 1114*n + 1116*n. Let r be f(13). Solve 3*d - 4 = 2*x + 7, -2*d + r = -2*x for d.
5
Let p be 9/(((-45)/6)/5). Suppose -11*i + 92 = -3*z - 9*i, -5*z - 154 = -4*i. Let o be (-12)/z*(-1 - p). Solve 22 = -o*n - 3*h, 2*n + h + 19 = -n for n.
-5
Let p(d) = -d - 8. Let i be p(6). Let k = i - -10. Let f be (2/k)/(1/(-8)). Solve 0*c = 4*j - f*c + 8, -j - 14 = 5*c for j.
-4
Suppose -117 = -45*r + 18. Solve l - r*s = 10, 0*l - 3*l + 2*s - 5 = 0 for l.
-5
Suppose 171 - 123 = 12*o. Solve l + o = -4*s, -4*l - 10 + 30 = -2*s for l.
4
Let s be (1 + -3 + 0)/((-4)/38). Solve y + 3*h = 11, -2*y = -7*y + 3*h + s for y.
5
Let j be (-20)/15*(-63)/28. Suppose 4 + 16 = 4*y. Let g = -2 - -2. Solve 5*h - y + 25 = g, -j = 5*k - 3*h for k.
-3
Let m(t) = -2*t - 3. Let c be -3 + -2*3/6. Let f be m(c). Let i(j) = j**2 - 2*j + 10. Let s be i(0). Solve 0 = f*k - 3*l + s, -k - 2*l = 2*k - 13 for k.
1
Let q be 75/(6 + -1) - 3. Suppose 0 = -54*j + 57*j - q. Solve x + 4*l - 16 = -0*l, 12 = j*x + 3*l for x.
0
Let g be 372/465 - (-31)/5. Solve -4*v = 3*f - g, -5*f = -4*f + 5*v + 5 for f.
5
Let p = -164 + 166. Solve 28 = -4*o - 3*t, 3*o = 2*t + p*t + 4 for o.
-4
Let a be 2/(-3) + 94/(-12)*-2. Suppose -a = -0*u - 5*u. Solve 0 = 3*m - 5*p - 0 + 22, -2*p = -u*m - 16 for m.
-4
Let k(w) = -1. Let n(l) = l**2 + l - 13. Let o(d) = -4*k(d) + n(d). Let j be o(-4). Solve 3*p = j*y - 12, -2*y + 5 = -4*p - 7 for y.
2
Let c be 5*22/(-275) - 17/(-5). Solve 0 = -y - 5, 4*r = 2*r - c*y - 21 for r.
-3
Suppose 14 + 18 = 16*t. Solve 3*d + t*d - 5*q = 20, -4 = -d - 4*q for d.
4
Let i(n) = -n**3 + 8*n**2 + 25*n - 24. Let l be i(10). Solve -r + l = 5*u - 4*r, 0 = u + 5*r + 6 for u.
4
Let h be -2 - (-21 + 0 - -2). Let u = -34 + 39. Suppose 4*r - 7 = 3*t, -u*t + 35 = 2*r + 3*r. Solve r*d - o = 4*o + 21, 5*d - h = -3*o for d.
4
Let m = -14 + 16. Solve -o + 22 = m*s + 3*s, -s + 4*o = -17 for s.
5
Suppose 0 = 5*i, -5*s - 242*i + 25 = -246*i. Solve -5*c + 5*h = -s, 1 = c + 5*h + 6 for c.
0
Suppose 4*k - 4 = 4*u, -3*u - k + 7 = -6. Let g = 12 + -10. Suppose -5*i + 2 = -3*i, g = n - 2*i. Solve u = 2*x - 3*v, 4*x + n*v - 7 = 9 for x.
3
Let g(w) = w**3 - 11*w**2 - 13*w + 18. Let l be g(12). Solve i = 3*p - 8, 3*i - l*i - 4*p = -28 for i.
4
Suppose -5*z + 3*z - 5*c = 8, 4*z - 3*c = 36. Suppose -s + z = 2*s. Let x be 3 - (2 - -3 - s). Solve 0 = 5*h - x*h - 4*o + 11, 3*h + 5*o = 23 for h.
1
Suppose 11 + 109 = 10*i. Let y be (-92)/(-20) + (-4)/(-10). Suppose 5*j + d - i = y, d + 3 = 0. Solve 0 = -j*g + 2*c + 26, c = g - c - 14 for g.
4
Let b be 9/(-12) - 6*(-4)/32. Solve 0*y = -y, b = 3*a - 2*y - 6 for a.
2
Let s(u) = -u - 5*u + 2*u + 3*u. Let p be s(-2). Suppose -2*m = -5*t - 18, -5*t - 12 = -p. Solve 3*a + 5*f - 14 - 13 = 0, m*f =
|
{
"pile_set_name": "DM Mathematics"
}
|
o + 114. Let x = o + 52. Suppose 0 = v - 15*v + x. Sort v, 4, 0, -1 in decreasing order.
4, v, 0, -1
Let o = 37/30 + -11/6. Let v = 4/47 + 348/329. Let r be (-3)/2*8/(-6). Sort r, v, o.
o, v, r
Suppose 17 + 15 = 16*c. Let b be (c - -1)*(7 - (-81)/(-12)). Put -4/5, -0.2, -4/11, b in decreasing order.
b, -0.2, -4/11, -4/5
Let k = -227 - -224.83. Let l = 3.17 + k. Let z = 1 + -1.4. Put -4, l, -2, z in decreasing order.
l, z, -2, -4
Let h = -31/76 - -3/19. Let x be -3*(0 - 1) - (-16)/(-10). Put -1, h, x in descending order.
x, h, -1
Let l(p) = -p**3 + 2*p**2 - p + 1. Let o(a) = -a**3 - 2*a**2 - 13*a + 25. Let b(q) = 2*l(q) - o(q). Let k be b(7). Put 2, 0, -25, k in increasing order.
-25, 0, 2, k
Suppose 2*r - 54 = -24. Let n be (-1)/(-10*((-24)/r)/(-4)). Let d = -1 + 5. Sort n, d, 2, -0.3 in decreasing order.
d, 2, n, -0.3
Suppose -24*t + 19*t + 110 = 0. Let n be -2*(t/(-4) - -3). Let l = 120 + -121. Put n, 1, l in descending order.
n, 1, l
Let r be (-5)/(10/(-4)) + 2. Suppose r*z + 5*h = -0*z - 37, 2*h - 5 = 5*z. Sort 5, -2, z in descending order.
5, -2, z
Suppose -154 - 22 = -8*v. Let a(j) = -j**3 + 9*j**2 + j - 5. Let i = -9 + 18. Let t be a(i). Sort v, -4, t in decreasing order.
v, t, -4
Let j = -1.3 + 0.9. Let g = 132.197 + -132. Let l = 0.497 - g. Put j, l, 14 in descending order.
14, l, j
Let l = -0.172 + 6.672. Let y = 1.5 - l. Put 4/7, y, 2/5 in descending order.
4/7, 2/5, y
Let l = 0.8 - -0.2. Let g = -448.8 + 449. Let j = g - -0.3. Sort j, l, 3.
j, l, 3
Suppose -134 = -16*n - 6. Suppose -2*d + 4*x - n = -5*d, 5*d = 4*x - 40. Sort -57, 1, 0, d.
-57, d, 0, 1
Suppose -3*p = -0*g + 4*g + 2, 0 = -2*g - 4. Suppose -5*l - 20 = 5*k, 19*l - k = 21*l + 8. Sort p, -5, 19, l in ascending order.
-5, l, p, 19
Let g = -116.46 + 111.46. Let c = 0.03 + 2.97. Put c, g, 43 in decreasing order.
43, c, g
Let j = 758.9987 - -0.0013. Let o = -756 + j. Sort 0.1, -4, -0.2, o in descending order.
o, 0.1, -0.2, -4
Let w(q) = -5*q - 12 + 2*q**2 - 4 + 3*q. Let z be w(4). Suppose -8*t = -2*t. Sort t, 3, z.
t, 3, z
Let v = 14129 + -14188.11. Let o = -0.3664 + -58.6336. Let b = v - o. Put -0.1, -6/11, b in increasing order.
-6/11, b, -0.1
Let w = -667 + 659. Let d = 2.7 - 1. Let b = d + -1.2. Put w, 1, b in increasing order.
w, b, 1
Let z = -14350 - -100451/7. Sort 3, 1.6, 1/5, 0, z.
0, z, 1/5, 1.6, 3
Let i = -415 - -416.2. Suppose 4*r + 3*s - 2*s + 8 = 0, -2*r + s - 10 = 0. Put -4, r, i, -2 in decreasing order.
i, -2, r, -4
Let v(q) = -q**3 + 4*q**2 + 5*q. Let w be v(5). Let u = -498 + 353. Let t = u + 149. Put -0.3, t, -4, w in descending order.
t, w, -0.3, -4
Suppose 2*t + 11 = 9. Let f = 32 + -36. Put 0, t, f, -3 in decreasing order.
0, t, -3, f
Suppose 14*h - 6*h + 16 = 0. Put -4, 46, h in descending order.
46, h, -4
Let n = -11297/3 + 33889/9. Put -14, -3, 2/7, n in decreasing order.
2/7, n, -3, -14
Let f = 9.69 - 0.69. Let c = f - 9.28. Let a = -0.12 + c. Sort -0.03, a, 3/2 in increasing order.
a, -0.03, 3/2
Let m = -4 + 4.3. Let q be -1*(-5)/2 - ((-2475)/90)/55. Let g = 1.97 + 0.03. Sort g, 1/4, q, m in ascending order.
1/4, m, g, q
Let a = -5 - -7. Let s be (3/(-2) + -1)*a. Let g be -1 + (-46)/((-1196)/(-130)). Put g, s, -4 in decreasing order.
-4, s, g
Suppose -3*b + 8*b = d - 26, -5*d - 32 = 2*b. Suppose -g - 3*n + 237 = 0, -5*n - 1233 = -5*g - 4*n. Let o = g + -246. Put -1, b, o, 1 in descending order.
1, o, -1, b
Let b = -482 - -492. Suppose 22*g = -21*g + b*g. Put 5, 3, g, -2 in descending order.
5, 3, g, -2
Let b = -19 - -24. Let p(z) = -51*z - 154. Let u be p(-3). Sort b, -4, u.
-4, u, b
Let o = 7341 + -7337. Put o, -1, 18, 2 in descending order.
18, o, 2, -1
Let w(c) = c**2 + 3*c + 3. Let h be w(-2). Suppose -40696*g + 48 = -40700*g. Sort 5, -3, h, g in ascending order.
g, -3, h, 5
Let v = -3 + 2.95. Let n = -0.35 + v. Suppose 4*t = -2*g + 14, 0 = -4*t - 0*t - 4*g + 16. Sort t, n, -0.2 in decreasing order.
t, -0.2, n
Suppose 59 = -4*r + 3*s + 57, 4 = -4*r + 4*s. Put 5, -140, 4, r, 0 in decreasing order.
5, 4, r, 0, -140
Let x = 108 - 110. Let d = -309.2 - -309. Put d, -5, x in decreasing order.
d, x, -5
Let s = 0.278 - -1.342. Let c = -1.42 + s. Put 5, c, -2, 0.4 in decreasing order.
5, 0.4, c, -2
Let k = -14900 - -14903. Put 825, k, 1, 0.7 in increasing order.
0.7, 1, k, 825
Let o = 137 + -132. Suppose -o*y + 5*p = 8*p + 13, 2*y + 2*p = -6. Sort y, -4, 59 in decreasing order.
59, y, -4
Suppose 0 = 6*a + 4*r + 15 - 1, -r = 5. Put a, -2, -27 in ascending order.
-27, -2, a
Let k = -141.66 - -141.86. Sort k, -3, 0, 39, -3/4 in descending order.
39, k, 0, -3/4, -3
Suppose 4*s - 3*r - 14 = 4, 0 = 2*s - 3*r - 12. Suppose -t - 10 = -108. Let x = -94 + t. Sort x, -4, s in decreasing order.
x, s, -4
Let d = -6/47 - 64/235. Let o be ((-200)/(-250))/((-4)/10*-7). Let g = 520.5 - 512.5. Sort d, o, g.
d, o, g
Let v = 29.78 - 29.766. Sort -4, v, -0.3, 2 in increasing order.
-4, -0.3, v, 2
Let u = 3189 + -3179. Sort -4, u, -9, 0.
-9, -4, 0, u
Let u be -3*(-10)/(-60)*5/(35/(-56)). Let b(l) = -l**2 - l + 4. Let k be b(-4). Put u, 3, k, -4 in decreasing order.
u, 3, -4, k
Let j = -18746 + 18762. Sort j, 1, -2, 2/11, 4/13.
-2, 2/11, 4/13, 1, j
Suppose -3894 = 35*v - 13344. Let h = v - 267. Sort h, -12, 4, 2 in descending order.
4, h, 2, -12
Let s = -58.7 - -64. Let m = s + -22.3. Let y = m + 19. Sort y, -1, -0.3 in ascending order.
-1, -0.3, y
Let f = 136 + 121. Let y = 245 - f. Put y, -1, 1/2, 0 in descending order.
1/2, 0, -1, y
Let h be (36 - 37)*0/1. Suppose h = 9*x + 6*x - 75. Suppose -3*m + 11 = -j, 0*m + 4*m - j - 15 = 0. Sort x, -5, m, -2 in descending order.
x, m, -2, -5
Let x = -111400895/828 + 134542. Let m = 3/92 + x. Let u = 3.43 - 22.43. Put m, -3, u in ascending order.
u, -3, m
Let c be 0 - (1/(-2) + 14/4). Let v = 527 - 531. Put c, v, 8 in descending order.
8, c, v
Let w = 5051 + -5059. Sort 4, 1/27, w in ascending order.
w, 1/27, 4
Let k = -7.058 + 2.0919. Let p = k - 0.0339. Let q = 0.14 + -8.14. Put -0.5, q, p in increasing order.
q, p, -0.5
Suppose -288*f - 252 = -300*f. Suppose 4*d = r - 27, 3*d = -d - r - f. Sort 5, 1, d.
d, 1, 5
Suppose 0 = 3*g - 208 + 10. Suppose 16*x + 2 = g. Put -1, 1, x in decreasing order.
x, 1, -1
Suppose -89 = -2*t + f, 3*t = -3*f + 4*f + 133. Let i be ((-81)/(-15) - 0) + t/(-110). Let y = 4.93 - 5. Put y, i, 0.4 in descending order.
i, 0.4, y
Suppose -185*m + 2*m - 208*m = -84*m. Sort m, 126, -53.
-53, m, 126
Let t = -40.65 - -0.65. Let r = t + 40.045. Let c = 3.045 - r. Sort 1/6, -0.5, c, -5 in increasing order.
-5, -0.5, 1/6, c
Let z(q) = 36*q**2 - 284*q + 4. Let m be z(8). Sort -1, 3, m in decreasing order.
m, 3, -1
Let d = -15353 + 15351. Let s be 2/(2/(-15)*3). Put -48, s, d in decreasing order.
d, s, -48
Suppose 8*r = 1 + 15. Let j = -4.2 - 0.8. Let o be (-1 - 0)*(-3 - 6/(-3)). Sort j, r, o.
j, o, r
Let h be (3*-5)/((-129)/(-86)). Let j be (-335)/134*(-28)/h. Sort j, 2, -3 in ascending order.
j, -3, 2
Suppose -9*x - 1697 = -1670. Let m(i) = -i**3 - 6*i**2 - 6*i + 1. Let t be m(-5). Put 1, x, t in decreasing order.
t, 1, x
Let n be (-15)/6*((-76)/10 + 0). Suppose 40*g = n*g - 63. Sort 3, g, 6, -1 in descending order.
6, 3, -1, g
Let f be -7 + 0 + (2/(-4) - (-19)/2). Put 4, -494, f in descending order.
4, f, -494
Suppose 53 = 4*z + 13. Suppose -z = 2*k, -2*d - 2*d - 5*k - 29 = 0. Let n be -3 - (-1 + -2 + -5). Put n, d, 4, 1 in descending order.
n, 4, 1, d
Let k be 1/(0 + 2 + 8). Let p = 22.546 - 22.746. Put 2/7, k, p, -0.4 in descending order.
2/7, k, p, -0.4
Let x = -2326.21 + 2326. Let s = 0.212 - 0.002. Let b = s + x. Sort b, -17, -0.5, 4 in decreasing order.
4, b, -0.5, -17
Let u be (-9)/430*3 - 20/200. Put 5, u, -3/2 in decreasing order.
5, u, -3/2
Let j be (-2)/3 - -2 - (15266/(-306) + 51). Let o be -1 - -1 - (-4)/10. Put -1, o, j in descending order.
o, j, -1
Let k = -310.35 - -304.35. Put -0.2, 0, -1, k in descending order.
0, -0.2, -1, k
Let t(l) = -l**3 + 4*l**2 - 2*l - 2. Let m be t(2). Let z be 3/6 + 1/m. Let j be (-6)/45*(z*-8 - -2). Sort j, 3, -1/4 in descending order.
3, j, -1/4
Let i be (-2)/9 + 32/(-18). Let t(u) = u**3 - 4*u**2 + 34*u + 19. Let b be t(9). Suppose -b + 720 = -10*f. Put -1, f, i, 5 in ascending order.
i, -1, f, 5
Let h = -17 - -12. Let b = 344.7 + -344.55. Put 0.2, b, h in ascendin
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l(m) = 311*m**3 - m**2 - 2*m. Let g(n) = 931*n**3 - 3*n**2 - 7*n. Determine 4*g(i) - 13*l(i).
-319*i**3 + i**2 - 2*i
Let m(x) be the third derivative of -x**5/12 + x**4/24 - x**3/2 - 128*x**2 - 1. Let c(a) = 14*a**2 - 3*a + 9. Calculate 3*c(i) + 8*m(i).
2*i**2 - i + 3
Let y(c) = 12*c + 7. Let l(f) be the third derivative of f**4/8 + f**3/3 + 87*f**2. Calculate 22*l(v) - 6*y(v).
-6*v + 2
Let r(q) = 1. Let t(s) = 3*s**2 - 3 + 1 - 4. Let c(j) = j**2 + 72*j - 142. Let u be c(2). Let y = 4 + -3. Determine u*r(p) + y*t(p).
3*p**2
Let j(u) = -u + 3. Suppose -l - 1 = -2. Let r(m) = l + 0 + 3 + 2*m + m**2 - 4*m. Let h be 9*3/63 + 18/7. Give h*j(i) - 2*r(i).
-2*i**2 + i + 1
Suppose 59*p = 61*p + 10. Let b(u) = -3*u**2 + u - 3. Let i(r) = 7*r**2 - 3*r + 7. Give p*b(v) - 2*i(v).
v**2 + v + 1
Let i be ((-3)/(-2) + -2)*6 - -13. Suppose 188 + i = -11*t. Let o(f) = f**3 + f + 1. Let d(p) = -6*p**3 + 9*p**3 + 9*p + 8 + 7*p**3. Calculate t*o(r) + 2*d(r).
2*r**3 - 2
Let h(v) = 7*v + 1. Suppose -126*s + 84 = -147*s. Let z(p) = -8*p - 1. What is s*z(c) - 5*h(c)?
-3*c - 1
Let b(u) = 15*u**3 + 14*u**2 + 4*u. Let l(v) = -7*v**3 - 7*v**2 - 2*v. Determine 3*b(o) + 7*l(o).
-4*o**3 - 7*o**2 - 2*o
Let w(k) = 4*k + 16. Suppose 2*a = 6 + 4. Let f(m) = a*m - 2*m + 21 - 6 + 2*m. Let b(g) = 6*f(g) - 5*w(g). Let j(h) = 3*h + 3. Calculate 2*b(t) - 7*j(t).
-t - 1
Let r be (1/((-9)/30))/(10/(-15)). Let h(j) = -7*j + r + 0 - 6*j + 4*j. Let w(q) = 26*q - 14. Calculate -14*h(v) - 5*w(v).
-4*v
Let h(p) = -1 + p - 12*p + 9*p + 2. Let d(u) = -2*u + 2. Let a be d(2). Let w(v) = 8*v - 5. What is a*w(l) - 9*h(l)?
2*l + 1
Let o(i) be the first derivative of -i - 1. Suppose -31 = 4*g + 457*t - 462*t, 4*g - 2*t = -22. Let j(q) = -2*q - 4. What is g*o(d) + j(d)?
-2*d
Suppose 0 = -4*h - 2 - 18. Suppose -4*s + s + 6 = 0. Let a(c) = 2 - 3*c - s + 9*c. Let f(x) = 7*x. Determine h*f(l) + 6*a(l).
l
Let a(k) = -3*k**3 - 4*k**2 + 5*k - 5. Let d be (-42)/(-105) - 2*(-94)/(-20). Let l(x) = 6*x**3 + 9*x**2 - 11*x + 11. Give d*a(t) - 4*l(t).
3*t**3 - t + 1
Let y(h) = -2*h**2 + 2 - 6*h**2 - 3 + 7*h**2. Let k = 6 + -3. Let m(n) = -6 + 4 + 1 - 2 - 6*n**2. Determine k*y(u) - m(u).
3*u**2
Let p(d) = -d**3 + 3*d**2 - 2*d. Let k(m) = 2*m**3 - 4*m**2 + 2*m. Give 6*k(h) + 7*p(h).
5*h**3 - 3*h**2 - 2*h
Let h(d) = 7*d + 3. Let j(m) = -2*m**3 + 40*m**2 - m + 15. Let k be j(20). Let u(x) = x + 1. Determine k*u(f) + h(f).
2*f - 2
Let s(o) = -72*o**2 - 7*o - 11. Let n(g) = 24*g**2 + 3*g + 4. Determine 11*n(q) + 4*s(q).
-24*q**2 + 5*q
Let k(t) = -5. Let i(u) = -u + 5. Let s = 2480 + -2477. What is s*k(w) + 2*i(w)?
-2*w - 5
Let f(b) = -5*b**3 + 2*b**2 - 2*b - 2. Let n(r) = -33*r**2 + 36 + 81*r**3 + 16*r - 3 + 17*r. Let t = 155 + -153. Determine t*n(u) + 33*f(u).
-3*u**3
Let q(u) = 2*u**2 - 6*u - 1. Let x(k) be the first derivative of k**2/2 - 407. Calculate -q(b) - 6*x(b).
-2*b**2 + 1
Let z(l) = l. Let q(h) = -12*h**2 + 4*h. Suppose 48*i - 23*i + 25 = 0. Give i*q(m) + 4*z(m).
12*m**2
Let z(n) = -3*n - 2. Let s(j) = -21*j - 26. Let a(u) = -7*u - 9. Let g(h) = -17*a(h) + 6*s(h). Give 4*g(l) - 9*z(l).
-l + 6
Let v(q) = -q. Let o(h) = 6 + 2 - 7. Give o(x) - 2*v(x).
2*x + 1
Let j(v) = -322*v**2 - 18. Let h(w) = 161*w**2 + 11. Give -10*h(z) - 6*j(z).
322*z**2 - 2
Let o(b) = -14*b - 4. Let p(g) = 4*g**2 - 168*g - 171. Let i be p(43). Let x(n) = -n - 1. Give i*o(u) - 5*x(u).
-9*u + 1
Let r(y) = -2*y**3 + 6*y**2 + 7*y + 6. Let i(p) = -4*p**3 + 11*p**2 + 13*p + 11. Let k be (-3)/(-15) + (-775)/125. What is k*i(l) + 11*r(l)?
2*l**3 - l
Let q(i) = 3*i + 1. Let d(z) = -10*z - 3. Let a(y) = 2*d(y) + 7*q(y). Let t(b) = -3*b**2 - 7*b - 7. Determine 21*a(o) + 3*t(o).
-9*o**2
Let w(u) = -5*u - 42. Let s(k) = 12*k + 86. Determine 3*s(t) + 7*w(t).
t - 36
Let o(t) = 5*t**2 + 5*t - 1. Suppose 0 = 2*d + 4, 4*d + 20 = -87*h + 89*h. Let j(f) = -6*f**2 - 6*f + 1. Determine h*j(u) + 7*o(u).
-u**2 - u - 1
Let v(w) = 7*w**2 - 4*w + 1. Let z(h) = 6*h**2 - 3*h + 2. What is -5*v(t) + 6*z(t)?
t**2 + 2*t + 7
Let d(t) = 3*t**3 + 9*t**2 + 5*t + 2. Let x(o) = -4*o**3 - 10*o**2 - 6*o - 3. Determine -3*d(i) - 2*x(i).
-i**3 - 7*i**2 - 3*i
Let o(j) = -5*j**2 - 9. Let x(f) = 6*f**2 - f + 9. Determine 3*o(s) + 2*x(s).
-3*s**2 - 2*s - 9
Let h(d) = 3*d + 3. Let q(z) = 3*z. Let x be q(3). Let f(r) = 17*r - 20. Let w(m) = -m + 8. Let c(p) = -f(p) - 4*w(p). Determine x*h(u) + 2*c(u).
u + 3
Let l(z) = -4*z - 1. Let g(c) = 25*c + 5. Give -6*g(h) - 35*l(h).
-10*h + 5
Let u(q) = q**3 - q**2 + q + 1. Let w(h) be the first derivative of 11*h**4/4 - 5*h**3/3 + 3*h**2 + 5*h + 879. Determine 5*u(p) - w(p).
-6*p**3 - p
Let i(l) = l**2 + 7*l + 7. Suppose 0 = 3*d + 13 - 28. Let p(g) = g**2 + 6*g + 6. Determine d*p(u) - 4*i(u).
u**2 + 2*u + 2
Let v(j) = 7*j + 3. Let s(q) = -34*q - 17. Calculate -2*s(h) - 11*v(h).
-9*h + 1
Let k be (0 - -5) + -7 + 3. Let v(u) = 9*u**3 + 2*u**2 + 2*u - 2. Let b(s) = -s**3 - s**2 - s + 1. Determine k*v(i) + 2*b(i).
7*i**3
Let c(d) = -d - 3. Let h(f) = -27*f + 5. Give 2*c(x) - h(x).
25*x - 11
Let k(o) = 21*o**2 - 3*o + 3. Let n(i) = -18*i**2 + 3*i - 3. Let j(f) = -2*k(f) - 3*n(f). Let g(c) = -c**2 + c - 1. What is 6*g(x) + 2*j(x)?
18*x**2
Let w(f) = -f**2 + 2*f - 2. Let i(t) be the first derivative of -1/3*t**3 + 10 - 2*t + t**2. What is 5*i(p) - 4*w(p)?
-p**2 + 2*p - 2
Let w(o) = o - 1. Let p(z) = 14*z - 73. Let l be p(5). Let y(f) = -f + 1. What is l*y(h) - 2*w(h)?
h - 1
Let z(y) be the first derivative of 19*y**4/4 + y**3 + 3*y - 159. Let d(w) = 608*w**3 + 95*w**2 + 95. What is -3*d(o) + 95*z(o)?
-19*o**3
Let k(v) = 98*v - 7. Let b(x) = 196*x - 17. Determine 4*b(p) - 10*k(p).
-196*p + 2
Let j(c) = 2*c - 51*c**3 + 4 - 5*c**2 + 9*c**2 + 48*c**3. Let a(u) = -4*u**3 + 3*u**2 + 2*u + 3. Determine 4*a(d) - 3*j(d).
-7*d**3 + 2*d
Let w(c) = 53*c**2 + 6*c - 17. Let o(x) = 52*x**2 + 7*x - 20. Determine 5*o(z) - 6*w(z).
-58*z**2 - z + 2
Suppose 7*s - 27 = 2*m + 2*s, -33 = 3*m - 5*s. Let h(k) = 1. Let c(y) be the first derivative of -1/3*y**3 - 6*y + 1 + 0*y**2. Determine m*h(w) - c(w).
w**2
Let z(k) = -k + 1. Let j(m) be the first derivative of 1/2*m**2 - 8 - m. Determine j(c) + 2*z(c).
-c + 1
Let i(g) = 46. Let m(z) = 37. Let n(p) = -4*i(p) + 5*m(p). Let b(k) = -13*k + 6. Determine -b(o) + 6*n(o).
13*o
Let k(i) = -2*i**3 + 2*i**2 + 5*i - 4. Let v be (8/10)/(2/10). Let w(g) = 10 + 50*g - 5*g**2 - 64*g - 1 + 5*g**3 + 2. What is v*w(p) + 11*k(p)?
-2*p**3 + 2*p**2 - p
Let o(w) = -24*w - 7. Let v(n) = -23*n - 10. Give 4*o(c) - 3*v(c).
-27*c + 2
Let p(a) = -9*a**2 + 5*a - 9. Let d(z) = -11*z**2 + 6*z - 10. Give 4*d(n) - 5*p(n).
n**2 - n + 5
Let z(n) = -6*n + 14. Let q(j) = 1. Determine 10*q(i) - z(i).
6*i - 4
Let t(f) = -9*f**2 + 5*f - 5. Let a(q) = -27*q**2 + 14*q - 15. Calculate 3*a(i) - 8*t(i).
-9*i**2 + 2*i - 5
Let q(y) = -14*y - 1. Let i(h) = -h + 0 - 12*h - 3 + 0 + 2. What is 3*i(r) - 2*q(r)?
-11*r - 1
Let y(o) = -o + 1. Let s(b) be the first derivative of -5*b**2/2 + 11*b + 154. Give s(f) - 4*y(f).
-f + 7
Let i be (-1)/(-5)*2*330/(-132). Let s(d) = d. Let m(v) = -1. Determine i*m(t) - 2*s(t).
-2*t + 1
Let n(r) = 93895*r - 4*r**3 - 46949*r - 46943*r. Let t(p) = 7*p**3 - 5*p + 5*p**3 - 5*p**3. Calculate 5*n(d) + 3*t(d).
d**3
Let a(i) = -18 + 1 + 3*i - 18*i. Let v = 2 + 4. Let l(g) = -7*g - 8. Let t = 1247 + -1260. What is t*l(m) + v*a(m)?
m + 2
Let i(y) = 2*y - 11. Let p(r) = 2*r - 11. Let f(t) = -5*i(t) + 6*p(t). Let n(a) = 0*a + 8 - 2 - a. What is -6*f(o) - 11*n(o)?
-o
Let z(s) = 3*s**3 + 7*s**2 + 4*s + 6. Let i(k) = -k**3 - k**2 - k - 1. Suppose 21*u - 19*u = -2. Determine u*z(l) - 6*i(l).
3*l**3 - l**2 + 2*l
Suppose 6*v + 200 - 164 = 0. Let a(w) = -5*w + 7. Let c(p) = 14*p - 20. Give v*c(g) - 17*a(g).
g + 1
Let o(s) = -116*s**2 + 10*s + 18. Let z(c) = -58*c**2 + 4*c + 8. Calculate -2*o(u) + 5*z(u).
-58*u**2 + 4
Let g(q) = -q**2 + 7*q - 3. Let i be g(5). Let d(w) = 4 - i - 3*w**2 + w**2. Let x(z) = 6*z**2 + 3 + 4 + 1. Calculate -8*d(k) - 3*x(k).
-2*k**2
Let q(t) = -21*t - 3. Let s(z) = -z**2 - 10*z - 33. Let r be s(-6). Let x(d) = -5*d - 1. Determine r*x(i) + 2*q(i).
3*i + 3
Let i(l) = 25*l + 27. Let p(f) = -3*f + 2. Calculate i(u) + 4*p(u).
13*u + 35
Suppose 7*y = 13 + 519. Let g = -65 + y. Let o(z) = -z**2 - 4*z - 1. Let p(m) = 2*m**2 + 7*m + 2.
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 43140.
95
What is the remainder when 7278342 is divided by 485222?
12
What is the remainder when 13295384 is divided by 1661921?
16
Calculate the remainder when 6665234 is divided by 635.
274
Calculate the remainder when 36120 is divided by 11661.
1137
What is the remainder when 1544973 is divided by 15765?
3
What is the remainder when 10422584 is divided by 92?
88
What is the remainder when 477596 is divided by 2229?
590
What is the remainder when 2477581 is divided by 2523?
2518
Calculate the remainder when 42497 is divided by 13624.
1625
Calculate the remainder when 520897 is divided by 1593.
1579
What is the remainder when 84093161 is divided by 22?
9
Calculate the remainder when 692189 is divided by 86523.
5
Calculate the remainder when 1516799 is divided by 79.
78
Calculate the remainder when 48029 is divided by 11303.
2817
Calculate the remainder when 6882768 is divided by 73.
36
Calculate the remainder when 40604 is divided by 2172.
1508
What is the remainder when 1221141 is divided by 10903?
5
What is the remainder when 7028 is divided by 6281?
747
Calculate the remainder when 834384 is divided by 185.
34
What is the remainder when 482149 is divided by 615?
604
What is the remainder when 1769096 is divided by 26?
4
Calculate the remainder when 433416 is divided by 341.
5
Calculate the remainder when 97039 is divided by 15402.
4627
What is the remainder when 4761395 is divided by 18?
17
Calculate the remainder when 2085968 is divided by 57.
53
Calculate the remainder when 290834 is divided by 5806.
534
What is the remainder when 541271 is divided by 90210?
11
Calculate the remainder when 3417702 is divided by 294.
246
What is the remainder when 415432580 is divided by 294?
290
What is the remainder when 4933520 is divided by 123?
113
Calculate the remainder when 230937 is divided by 13803.
10089
Calculate the remainder when 160387 is divided by 160175.
212
Calculate the remainder when 3562243 is divided by 73.
62
Calculate the remainder when 18150775 is divided by 9075382.
11
Calculate the remainder when 1775140 is divided by 2731.
2721
Calculate the remainder when 1762892 is divided by 7566.
14
What is the remainder when 3081855 is divided by 23?
16
Calculate the remainder when 168001272 is divided by 192662.
8
Calculate the remainder when 452742 is divided by 452672.
70
What is the remainder when 357077 is divided by 212?
69
What is the remainder when 3955550 is divided by 68?
58
What is the remainder when 1534291 is divided by 1058?
191
What is the remainder when 1510314 is divided by 19116?
150
What is the remainder when 24350 is divided by 2091?
1349
What is the remainder when 176464 is divided by 381?
61
Calculate the remainder when 3729852 is divided by 3345.
177
What is the remainder when 29972123 is divided by 1274?
1273
Calculate the remainder when 12875622 is divided by 332.
330
What is the remainder when 15288414 is divided by 2321?
2308
What is the remainder when 70864 is divided by 1587?
1036
Calculate the remainder when 190241 is divided by 615.
206
Calculate the remainder when 14675208 is divided by 110.
108
Calculate the remainder when 114918 is divided by 56983.
952
Calculate the remainder when 630045 is divided by 48.
45
Calculate the remainder when 1241370 is divided by 413767.
69
What is the remainder when 4605764 is divided by 75504?
20
Calculate the remainder when 85782 is divided by 4509.
111
Calculate the remainder when 777023 is divided by 274.
233
What is the remainder when 7131850 is divided by 117?
115
Calculate the remainder when 842799 is divided by 60197.
41
What is the remainder when 6036568 is divided by 323?
21
Calculate the remainder when 1190360 is divided by 936.
704
What is the remainder when 23828 is divided by 23645?
183
What is the remainder when 4890569 is divided by 496?
9
What is the remainder when 5109 is divided by 439?
280
What is the remainder when 18811753 is divided by 9405816?
121
Calculate the remainder when 5426975 is divided by 2.
1
Calculate the remainder when 85417770 is divided by 349.
20
What is the remainder when 1938346 is divided by 323055?
16
What is the remainder when 5349707 is divided by 15112?
59
Calculate the remainder when 47202158 is divided by 29.
18
What is the remainder when 78510 is divided by 200?
110
Calculate the remainder when 1066284 is divided by 1006.
930
What is the remainder when 65698553 is divided by 8?
1
What is the remainder when 398390 is divided by 193?
38
What is the remainder when 85760306 is divided by 423?
17
Calculate the remainder when 60585 is divided by 462.
63
What is the remainder when 4590748 is divided by 26383?
106
What is the remainder when 229966 is divided by 229950?
16
What is the remainder when 1814445 is divided by 91?
87
What is the remainder when 2245723 is divided by 748259?
946
What is the remainder when 35728811 is divided by 134?
123
What is the remainder when 4753342 is divided by 63?
55
What is the remainder when 1897419 is divided by 181?
177
What is the remainder when 18525995 is divided by 295?
290
What is the remainder when 36487 is divided by 458?
305
What is the remainder when 10139328 is divided by 919?
1
Calculate the remainder when 19423986 is divided by 930.
6
Calculate the remainder when 51577535 is divided by 306.
11
What is the remainder when 62742043 is divided by 886?
839
Calculate the remainder when 1590138 is divided by 43.
41
What is the remainder when 29766892 is divided by 61?
51
Calculate the remainder when 145453 is divided by 4091.
2268
Calculate the remainder when 546403 is divided by 4892.
3391
What is the remainder when 2823555 is divided by 78432?
3
What is the remainder when 282349 is divided by 7225?
574
What is the remainder when 5983759 is divided by 854822?
5
What is the remainder when 89754257 is divided by 26?
21
Calculate the remainder when 347008533 is divided by 20.
13
What is the remainder when 189286 is divided by 94497?
292
Calculate the remainder when 76511 is divided by 191.
111
Calculate the remainder when 51658241 is divided by 1225.
1216
What is the remainder when 8721554 is divided by 4269?
4256
What is the remainder when 1104387 is divided by 340?
67
Calculate the remainder when 1492201 is divided by 2483.
2401
Calculate the remainder when 10276037 is divided by 734001.
23
Calculate the remainder when 2975676 is divided by 2009.
347
What is the remainder when 251631 is divided by 365?
146
Calculate the remainder when 97025 is divided by 1587.
218
What is the remainder when 350923445 is divided by 3219481?
16
What is the remainder when 1606308 is divided by 6275?
6183
What is the remainder when 6663144 is divided by 1737?
12
What is the remainder when 16163020 is divided by 3587?
3585
Calculate the remainder when 305301 is divided by 152266.
769
What is the remainder when 1380877 is divided by 3108?
925
Calculate the remainder when 34463 is divided by 5603.
845
What is the remainder when 115894 is divided by 38516?
346
What is the remainder when 679647 is divided by 6355?
6017
What is the remainder when 815748 is divided by 170?
88
Calculate the remainder when 270087 is divided by 4183.
2375
Calculate the remainder when 165809 is divided by 2643.
1943
What is the remainder when 3446575 is divided by 6590?
5
Calculate the remainder when 6248950 is divided by 1688.
1662
What is the remainder when 119638591 is divided by 31?
12
Calculate the remainder when 148132 is divided by 18443.
588
What is the remainder when 344324594 is divided by 77?
75
Calculate the remainder when 44011 is divided by 42878.
1133
What is the remainder when 144627 is divided by 48129?
240
What is the remainder when 3739289 is divided by 1192?
1177
What is the remainder when 818933 is divided by 1619?
1338
What is the remainder when 14012341 is divided by 344?
189
Calculate the remainder when 72360926 is divided by 568.
566
What is the remainder when 24299716 is divided by 1349983?
22
Calculate the remainder when 1445921 is divided by 121.
92
Calculate the remainder when 73476 is divided by 240.
36
What is the remainder when 3187 is divided by 1173?
841
What is the remainder when 20641944 is divided by 2293543?
57
Calculate the remainder when 10238143 is divided by 123350.
93
Calculate the r
|
{
"pile_set_name": "DM Mathematics"
}
|
k**3 - 4*k**2. Let h be c(-3). What is the remainder when 143 is divided by 1*h/(2/(-1))?
35
Suppose -i + 15 - 2 = 0. What is the remainder when 30 is divided by i?
4
Let u(x) = -x**3 + 8*x**2 + 12*x - 21. Let p be u(9). Suppose 4*z - p*w = -w + 90, -2*w = z - 16. Calculate the remainder when 36 is divided by z.
16
Let i(w) be the second derivative of -8*w**3/3 + 9*w**2/2 + 10*w. Calculate the remainder when i(-4) is divided by 19.
16
Suppose -2 = w - 0*w. Calculate the remainder when 65 is divided by 33 + (1 - 1)/w.
32
Let p(o) = 44 + o**2 - 21 + 3*o - 21. Calculate the remainder when 124 is divided by p(-8).
40
Let i = -21 + 22. Let t be (1 + 1)*i + 0. Suppose -3*a = -b - 54, 0 = -t*a + b + 20 + 15. Calculate the remainder when 56 is divided by a.
18
Let r = -288 + 290. What is the remainder when 87 is divided by r?
1
Let n(y) = -y**3 - 10*y**2 + 35*y - 19. Calculate the remainder when 427 is divided by n(-13).
31
Suppose f - 3*b - 1 + 13 = 0, 0 = 2*f - 5*b + 19. Calculate the remainder when 13 is divided by f.
1
Let v = -612 + 696. Calculate the remainder when v is divided by 8.
4
Let f = 566 + -524. What is the remainder when 124 is divided by f?
40
What is the remainder when 47 + 155/31 + (-22)/2 is divided by 33?
8
Let b = 3 - -5. Suppose 15*n + 21 = 8*n. What is the remainder when 33*1 + (-5 - n) is divided by b?
7
Calculate the remainder when (-4 - 0)/((-1)/(890/20)) is divided by 12.
10
Suppose 0 = -z + 2*z + 5. Let d(p) = 7*p - 5. Let x(g) = 7*g - 4. Let w(r) = 2*d(r) - 3*x(r). Calculate the remainder when w(z) is divided by 13.
11
Let c = 1234 - 1180. Calculate the remainder when 185 is divided by c.
23
Suppose 5*w + 5 = 225. What is the remainder when 615 is divided by w?
43
Let l = -223 + 254. Suppose i + 72 = 193. Calculate the remainder when i is divided by l.
28
Let g(r) = -1. Let h(t) = t + 65. Let a(i) = -g(i) + h(i). Suppose 0 = 3*m - 54 + 3. What is the remainder when a(0) is divided by m?
15
Let v = 19 - 10. What is the remainder when (6*(-8)/(-10))/(74/370) is divided by v?
6
Let a = -6 + 14. Let d be -2 + 3 - 8/(-4). Let r = d - -12. Calculate the remainder when r is divided by a.
7
Suppose 0 = -5*f + 38 - 8. Let k(c) = -c + 7. Let w be k(f). Let h(v) = 10*v**2 - v. Calculate the remainder when h(w) is divided by 3.
0
Let x be (6/12)/(2/4). Calculate the remainder when 9 is divided by (x/3)/(3*(-2)/(-54)).
0
Let y be 2/9 - 4/18. Suppose 0*k - 2*f = 3*k - 36, y = -2*k - 3*f + 24. Let u = 26 - k. What is the remainder when 81 is divided by u?
11
Let s(x) = 19*x**2 + 13*x - 22. What is the remainder when s(3) is divided by 8?
4
Let u = 1492 - 1170. Calculate the remainder when u is divided by 104.
10
Suppose 0 = -4*n + 5*c + 133, -3*n - 2*c - 2*c + 92 = 0. Suppose 2*f + 12 - 38 = 0. What is the remainder when n is divided by f?
6
Calculate the remainder when (-4 - -94)*(-17)/(-34) is divided by 23.
22
Let n = -1141 + 1390. What is the remainder when n is divided by 25?
24
Suppose -259 = 327*u - 364*u. Calculate the remainder when 178 is divided by u.
3
Let k = 37 + 32. Suppose 5*i + 15 = 0, -4*y - y + 3*i + k = 0. What is the remainder when (0 + -5)*34/(-5) is divided by y?
10
Let u = 194 + -159. What is the remainder when u is divided by 11?
2
Suppose -34 = 2*o - 50. Suppose 28 + 23 = 5*w - 2*k, -27 = -2*w + 3*k. What is the remainder when 186/w - 4/6 is divided by o?
4
Let f(k) = 10*k + 1 - 10*k - 5*k + k**2. Suppose -4*v + 4*o = 0, 0*v + 4*o = 5*v - 3. What is the remainder when v is divided by f(5)?
0
Let w(s) = -61*s**3 - s**2 + 1. Let b be -3 + 2 + (0 - 0). Suppose -2*m + 36 = j + 2*m, 2*m = 10. What is the remainder when w(b) is divided by j?
13
Let j(w) = w**2 + 18*w + 73. Calculate the remainder when 18 is divided by j(-6).
0
Let n(g) = g**2 - 15*g + 53. What is the remainder when 41 is divided by n(4)?
5
Let o = 1 - 1. Suppose 5*t = 4*p - 1, 3*p - 24 = -o*t - 4*t. Suppose -7 = -t*h + 38. What is the remainder when 27 is divided by h?
12
Let z = 11 + -8. Suppose 5*y = -u + 11, 4*y - u - 10 = 2*y. What is the remainder when y is divided by z?
0
Let r(m) = -59*m**3 + 4*m**2 + 2*m - 1. Let s(p) = 59*p**3 - 5*p**2 - 2*p + 1. Let k(l) = -6*r(l) - 5*s(l). What is the remainder when k(1) is divided by 20?
19
Suppose 167 = 4*w - 121. Let x be 16/w + (-130)/18. Let k(c) = -c**3 - 5*c**2 + 6*c - 5. Calculate the remainder when k(x) is divided by 18.
15
Suppose 2*z = -2*j + 20, -j = 2*j - 2*z - 15. Calculate the remainder when 26 is divided by j.
5
Let g = 2 - 0. Calculate the remainder when (-342)/(-43) + (-120)/(-2580) is divided by g.
0
Let a(c) = 2*c**2 - 4*c. Let o be a(3). Suppose p + 5*m - 20 = 0, p - 3*m - 60 = -0*m. Suppose -k - p = -o*k. Calculate the remainder when k is divided by 6.
3
Suppose -187 = -2*p - 2*b + b, -10 = 2*b. Let q = -56 + p. Calculate the remainder when q is divided by 9.
4
Let t(o) = -13*o - 19. Calculate the remainder when -7 - (3 + -6) - -83 is divided by t(-3).
19
Let u = -47 + 59. Suppose -b - 20 = -4*x, b + 2*b = u. What is the remainder when 17 is divided by x?
5
Let y be 1 + (-1 - 0) - -7. Let k = y + 13. Calculate the remainder when k is divided by (-2 - 12)/(-1*2).
6
Suppose y + 2179 = 4*v, 105*v - 110*v = -3*y - 2729. Calculate the remainder when v is divided by 22.
16
Let d(p) = 6*p + 6. Let h = -11 - -19. Let k be d(h). Suppose -3 + k = 3*f. What is the remainder when f is divided by 10?
7
Calculate the remainder when (-6 - 60/(-8))/(1/22) is divided by 13.
7
Let l = 19 - 12. Suppose 7*i + 139 = 4*w + 2*i, 3*w = 2*i + 99. Calculate the remainder when w is divided by l.
3
Let k(b) = b**2 - 2*b - 22. Let u be k(6). Suppose -s - 11 = -o - u, 3*s - 18 = -2*o. What is the remainder when 16 is divided by o?
7
Let y = -13 - -121. Let o = 152 - y. What is the remainder when o is divided by 15?
14
Suppose 4*h + 78 = -2*h. Let v = 52 + h. What is the remainder when v is divided by 21?
18
Suppose -4*n - 1051 + 1323 = 0. Suppose -5*p + 0*p + 68 = 2*g, 3*g - p = 68. Calculate the remainder when n is divided by g.
20
Let k(n) = 241*n - 598. Calculate the remainder when k(4) is divided by 72.
6
Let w(h) be the second derivative of -h**4/4 + h**3/3 + 2*h**2 + 5*h. Let r be w(4). What is the remainder when 20 is divided by (-244)/r - (-2)/9?
6
Let u = -1176 + 1215. Calculate the remainder when u is divided by 17.
5
Let r be (-6)/8 + (-159)/12. What is the remainder when (-6)/r - (-3473)/161 is divided by 5?
2
Calculate the remainder when 173 is divided by (-20)/((-130)/(-13)) + (-32)/(-1).
23
Let x(t) = -t**3 - 7*t**2 - 19*t - 11. Calculate the remainder when x(-9) is divided by 36.
34
Suppose 0 = -0*b + 2*b - t - 6, 0 = -4*b - 5*t + 40. Suppose -b*l + 59 - 49 = 0. Calculate the remainder when 77 is divided by (3/6)/(l/104).
25
Suppose 2*i = -0*i. Suppose i = 2*h + 2*q - 26, 4*q + 20 = 2*h - 0*h. What is the remainder when 16 is divided by h?
4
Suppose -2*y + d + 245 = 0, -19*y + d = -22*y + 375. Calculate the remainder when y is divided by 27.
16
Suppose 0 = -6*f + 60 + 54. What is the remainder when 148 is divided by f?
15
Let q be 0*(4/(-12) - 0) - 0. Let t be -2 + 10*(-1)/(-2). Let z = t - q. Calculate the remainder when 4 is divided by z.
1
Let i(s) = s**2 + 7*s + 12. Let y(x) = x**2 - 16*x + 20. Let l be y(14). Let o be i(l). Calculate the remainder when ((-296)/o)/((-2)/5) is divided by 13.
11
Let m(f) = -f**2 + 16*f - 5. Suppose 21 + 2 = 2*h + l, 2*h + 3*l = 17. What is the remainder when m(11) is divided by h?
11
Let a = 70 + -40. Suppose 50*c - 5986 = -843 + 807. What is the remainder when c is divided by a?
29
Suppose -4 = -y + 1. Let t(p) = p**2 + 1. Let m be t(4). Let o = m + -3. What is the remainder when o is divided by y?
4
Suppose 4*t - 588 = 4*s, 283 = 4*t + 5*s - 269. Calculate the remainder when t is divided by 24.
23
Let g be 29 + 5/(5/3). Let p = g - 7. Suppose -5*a + c + p = -120, 4*a + 4*c - 116 = 0. What is the remainder when a is divided by 10?
9
Suppose -2*h + 2*c = -8, -6*h - c + 16 = -2*h. Suppose -l = 3*w - 37, -l + h = -3*w + 33. What is the remainder when 83 is divided by w?
6
Let g = 263 + -185. What is the remainder when g is divided by (-4)/(-18) + 2982/189?
14
Let l = -108 + 125. What is the remainder when 83 is divided by l?
15
Suppose -92 = -8*x + 252. What
|
{
"pile_set_name": "DM Mathematics"
}
|
51, 67, 83?
16*q + 19
What is the l'th term of -34, -36, -38, -40?
-2*l - 32
What is the z'th term of -76, -151, -224, -295, -364?
z**2 - 78*z + 1
What is the l'th term of -64, 31, 296, 815, 1672, 2951?
14*l**3 + l**2 - 6*l - 73
What is the t'th term of 32, 36, 30, 8, -36, -108, -214?
-t**3 + t**2 + 8*t + 24
What is the u'th term of -120, -130, -142, -150, -148?
u**3 - 7*u**2 + 4*u - 118
What is the z'th term of -108, -218, -328?
-110*z + 2
What is the k'th term of -241, -236, -229, -220, -209, -196?
k**2 + 2*k - 244
What is the s'th term of 42, 167, 376, 669, 1046, 1507, 2052?
42*s**2 - s + 1
What is the y'th term of 34, 27, 16, 1, -18?
-2*y**2 - y + 37
What is the t'th term of 131, 263, 395?
132*t - 1
What is the y'th term of 1034, 1047, 1074, 1121, 1194?
y**3 + y**2 + 3*y + 1029
What is the g'th term of -57, -143, -261, -429, -665, -987?
-3*g**3 + 2*g**2 - 71*g + 15
What is the s'th term of 12, -39, -90, -141?
-51*s + 63
What is the s'th term of -1273, -1274, -1277, -1282, -1289, -1298?
-s**2 + 2*s - 1274
What is the q'th term of 98, 363, 804, 1421, 2214, 3183, 4328?
88*q**2 + q + 9
What is the o'th term of 17, 10, -13, -52, -107?
-8*o**2 + 17*o + 8
What is the g'th term of -119, -129, -139, -149, -159?
-10*g - 109
What is the f'th term of 61, 116, 173, 232?
f**2 + 52*f + 8
What is the d'th term of 235, 223, 211, 205, 211, 235, 283?
d**3 - 6*d**2 - d + 241
What is the b'th term of 8337, 8330, 8319, 8304, 8285, 8262, 8235?
-2*b**2 - b + 8340
What is the g'th term of -4767, -4769, -4771, -4773, -4775, -4777?
-2*g - 4765
What is the b'th term of -23, -22, -19, -14, -7, 2?
b**2 - 2*b - 22
What is the v'th term of 287, 570, 853?
283*v + 4
What is the a'th term of -16, -39, -78, -133, -204, -291, -394?
-8*a**2 + a - 9
What is the p'th term of 9, 8, 5, 0, -7, -16, -27?
-p**2 + 2*p + 8
What is the b'th term of 81, 129, 177, 225, 273, 321?
48*b + 33
What is the i'th term of 27, 44, 61, 78, 95?
17*i + 10
What is the y'th term of -78, -191, -380, -645?
-38*y**2 + y - 41
What is the v'th term of -11, -32, -69, -128, -215, -336, -497, -704?
-v**3 - 2*v**2 - 8*v
What is the g'th term of 39, 36, 33, 30, 27, 24?
-3*g + 42
What is the o'th term of 65, 72, 77, 80, 81?
-o**2 + 10*o + 56
What is the l'th term of -1, 78, 217, 422, 699?
l**3 + 24*l**2 - 26
What is the w'th term of 32, 70, 114, 164, 220, 282, 350?
3*w**2 + 29*w
What is the f'th term of 40, 58, 88, 130, 184, 250, 328?
6*f**2 + 34
What is the y'th term of -263, -277, -303, -341?
-6*y**2 + 4*y - 261
What is the z'th term of 2292, 2287, 2278, 2265, 2248?
-2*z**2 + z + 2293
What is the g'th term of -172, -330, -488, -646?
-158*g - 14
What is the n'th term of -4145, -4149, -4155, -4163, -4173, -4185?
-n**2 - n - 4143
What is the n'th term of -11, -49, -101, -173, -271, -401, -569, -781?
-n**3 - n**2 - 28*n + 19
What is the o'th term of 38, 70, 98, 122, 142, 158?
-2*o**2 + 38*o + 2
What is the p'th term of -51, -56, -63, -72, -83?
-p**2 - 2*p - 48
What is the k'th term of 15, 7, -7, -27, -53, -85?
-3*k**2 + k + 17
What is the o'th term of -42, -95, -156, -225, -302, -387?
-4*o**2 - 41*o + 3
What is the m'th term of -33, -21, 7, 57, 135, 247, 399?
m**3 + 2*m**2 - m - 35
What is the f'th term of 471, 943, 1415, 1887?
472*f - 1
What is the t'th term of 2624, 2626, 2628, 2630?
2*t + 2622
What is the n'th term of -1959, -1960, -1961, -1962, -1963?
-n - 1958
What is the h'th term of -67, -244, -539, -952?
-59*h**2 - 8
What is the h'th term of 38, 36, 34, 32, 30, 28?
-2*h + 40
What is the a'th term of 627, 677, 727, 777, 827, 877?
50*a + 577
What is the k'th term of 1185, 1247, 1299, 1335, 1349, 1335?
-k**3 + k**2 + 66*k + 1119
What is the z'th term of 10, 68, 138, 226, 338, 480, 658?
z**3 + 51*z - 42
What is the c'th term of 25, 70, 195, 442, 853, 1470, 2335?
7*c**3 - 2*c**2 + 2*c + 18
What is the r'th term of 53, 198, 433, 752, 1149?
-r**3 + 51*r**2 - r + 4
What is the z'th term of 38, 68, 96, 122, 146, 168, 188?
-z**2 + 33*z + 6
What is the i'th term of -316, -313, -310, -307, -304?
3*i - 319
What is the m'th term of 45, 29, -13, -93, -223?
-2*m**3 - m**2 + m + 47
What is the m'th term of 115, 142, 187, 250, 331, 430, 547?
9*m**2 + 106
What is the i'th term of 8, -11, -58, -145, -284, -487, -766, -1133?
-2*i**3 - 2*i**2 + i + 11
What is the r'th term of -43, -158, -335, -562, -827, -1118, -1423?
2*r**3 - 43*r**2 - 2
What is the g'th term of 13, 15, 27, 49, 81?
5*g**2 - 13*g + 21
What is the x'th term of 8, 10, 14, 20, 28, 38, 50?
x**2 - x + 8
What is the y'th term of -46, -62, -104, -184, -314, -506, -772?
-2*y**3 - y**2 + y - 44
What is the t'th term of 965, 1936, 2909, 3884, 4861, 5840?
t**2 + 968*t - 4
What is the b'th term of -32, -83, -144, -197, -224?
3*b**3 - 23*b**2 - 3*b - 9
What is the p'th term of -7, -1, 5?
6*p - 13
What is the b'th term of 1656, 1678, 1738, 1854, 2044, 2326, 2718?
3*b**3 + b**2 - 2*b + 1654
What is the z'th term of 2478, 2480, 2484, 2490?
z**2 - z + 2478
What is the w'th term of 35, 170, 395, 710, 1115, 1610, 2195?
45*w**2 - 10
What is the w'th term of 69, 89, 121, 165, 221?
6*w**2 + 2*w + 61
What is the m'th term of 1426, 2856, 4286, 5716, 7146, 8576?
1430*m - 4
What is the n'th term of 33, 89, 145, 201, 257, 313?
56*n - 23
What is the f'th term of 68, 75, 72, 53, 12, -57?
-f**3 + f**2 + 11*f + 57
What is the h'th term of -5, -31, -107, -257, -505, -875?
-4*h**3 - h**2 + 5*h - 5
What is the s'th term of -70870, -70869, -70868?
s - 70871
What is the h'th term of -14, -6, 26, 82?
12*h**2 - 28*h + 2
What is the m'th term of 8, 9, 12, 17?
m**2 - 2*m + 9
What is the g'th term of -162, -177, -206, -255, -330, -437, -582?
-g**3 - g**2 - 5*g - 155
What is the m'th term of -14, -70, -164, -296, -466, -674?
-19*m**2 + m + 4
What is the m'th term of -157, -162, -167, -172, -177, -182?
-5*m - 152
What is the f'th term of 56, 80, 104, 128?
24*f + 32
What is the c'th term of -2, -28, -72, -134, -214, -312?
-9*c**2 + c + 6
What is the i'th term of -8, -11, -4, 19, 64, 137?
i**3 - i**2 - 7*i - 1
What is the p'th term of 6, 22, 64, 144, 274, 466, 732?
2*p**3 + p**2 - p + 4
What is the j'th term of -24, 18, 84, 180, 312, 486, 708?
j**3 + 6*j**2 + 17*j - 48
What is the a'th term of -29, -51, -73, -95, -117, -139?
-22*a - 7
What is the z'th term of 170, 346, 522, 698, 874?
176*z - 6
What is the o'th term of 8958, 8957, 8956, 8955?
-o + 8959
What is the f'th term of 37, 56, 89, 136?
7*f**2 - 2*f + 32
What is the r'th term of -2, 22, 62, 118?
8*r**2 - 10
What is the f'th term of 18, 44, 94, 180, 314?
2*f**3 + 12*f + 4
What is the q'th term of -10, 1, 22, 59, 118?
q**3 - q**2 + 7*q - 17
What is the c'th term of 11, 55, 99, 143, 187?
44*c - 33
What is the y'th term of 437, 436, 423, 392, 337, 252?
-y**3 + 6*y + 432
What is the j'th term of 162, 176, 198, 228, 266, 312?
4*j**2 + 2*j + 156
What is the t'th term of 1767, 1765, 1763?
-2*t + 1769
What is the d'th term of 516, 472, 414, 336, 232, 96, -78, -296?
-d**3 - d**2 - 34*d + 552
What is the g'th term of -114, -199, -280, -357, -430, -499?
2*g**2 - 91*g - 25
What is the n'th term of -316, -329, -364, -433, -548, -721, -964, -1289?
-2*n**3 + n**2 - 2*n - 313
What is the i'th term of -89, -93, -95, -95?
i**2 - 7*i - 83
What is the c'th term of -4463, -4464, -4465, -4466?
-c - 4462
What is the c'th term of -46, -50, -54, -58, -62?
-4*c - 42
What is the j'th term of -8025, -8022, -8017, -8010, -8001, -7990?
j**2 - 8026
What is the z'th term of 21, 12, -7, -42, -99, -184?
-z**3 + z**2 - 5*z + 26
What is the a'th term of 11, 27, 43, 59, 75, 91?
16*a - 5
What is the b'th term of -41, -72, -97, -116, -129?
3*b**2 - 40*b - 4
What is the k'th term of 315, 632, 951, 1272, 1595, 1920?
k**2 + 314*k
What is the m'th term of 468, 520, 582, 660, 760?
m**3 - m**2 + 48*m + 420
What is the l'th term of -2, -9, -22, -41?
-3*l**2 + 2*l - 1
What is the q'th term of 31, 22, 13, 4, -5, -14?
-9*q + 40
What is the p'th term of -1914, -7663, -17244, -30657?
-1916*p**2 - p + 3
What is the s'th term of -16, -27, -16, 29, 120, 269?
2*s**3 - s**2 - 22*s + 5
What is the z'th term of 432, 434, 438, 444?
z**2 - z + 432
What is the z'th term of -1316, -1309, -1298, -1283, -1264, -1241, -1214?
2*z**2 + z - 1319
What is the w'th term of 61, 96, 155, 238?
12*w**2 - w + 50
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
r.
s, x, 8
Let k = 153 + -167.4. Let j = -0.34 - -14.34. Let d = k + j. Sort 0.1, -0.2, d in ascending order.
d, -0.2, 0.1
Let c = -4.21 + 4.2. Let f = -0.19 - -0.5. Let j = f + c. Put j, -2/9, -3 in descending order.
j, -2/9, -3
Let p be (-2)/(-10)*650/(-455). Sort 4, 2/11, -4/7, p in descending order.
4, 2/11, p, -4/7
Suppose 0 = 2*g - 6, -14 = -4*u + 2*g - 0*g. Suppose 3*y - u = -14. Suppose 226*t = 237*t + 44. Put -1, y, t in ascending order.
t, y, -1
Let l = 0.0373 + 0.9627. Let p = 7 + -1.9. Let b = -1.1 + p. Put b, 0.5, l in descending order.
b, l, 0.5
Let l = 200 - 140. Let t = l - 58. Suppose 4*y - 25 = 31. Sort y, t, -0.4.
-0.4, t, y
Let j(z) = z - 9. Let i be j(7). Let g(b) = -6*b - 38. Let k be g(-7). Suppose 9*d = k*d + 5. Put d, i, -4 in ascending order.
-4, i, d
Let f = -29.3 + 42.6. Let r = -0.076 - 12.924. Let o = f + r. Put -3, o, -0.3 in decreasing order.
o, -0.3, -3
Let z = 2.63 + -2.13. Sort -0.1, z, -5, 2/29 in descending order.
z, 2/29, -0.1, -5
Let v = -6 + 4. Suppose -2*f + 25 = -3*y + 8*y, -f - 2*y = -15. Suppose 22*o - 27*o = -f. Sort o, v, 3.
v, 3, o
Let r = 806 + -809. Sort r, -5, 60, 4 in increasing order.
-5, r, 4, 60
Let m = -82 + 47. Let s = -46 - m. Sort -4, 3/8, s in ascending order.
s, -4, 3/8
Suppose -13*d - 4*d + 153 = 0. Put -3, -1, d in increasing order.
-3, -1, d
Let b = -8.669 - 0.031. Let o = b + 3.7. Put -9, o, 5, -1/7 in decreasing order.
5, -1/7, o, -9
Let c be -2 + 0 + (2 - 2). Let a be -3 + c/(-1) + -2 + 4. Put 12, -5, a in increasing order.
-5, a, 12
Suppose 0 = -j - 6 - 4. Let s(m) = m**3 + 9*m**2 - 9*m + 14. Let x be s(j). Suppose 5*h - 9 = 2*i, -x*i - 3*h = i - 24. Sort i, 2, -2.
-2, 2, i
Suppose -46 + 40 = -2*q, -2*z = 5*q - 21. Sort 2, z, 6, -1.
-1, 2, z, 6
Let b = 0.35 + -0.05. Let n = -12.9 - -11.6. Let w = n - -1.5. Put b, w, 2 in descending order.
2, b, w
Suppose 4*r - 2*z = 4, -9*r = -5*r + 3*z + 16. Sort r, 2, -5 in decreasing order.
2, r, -5
Suppose 5*y + 101 = -2*s, 4*s = -0*s + 2*y - 262. Let p = 313/5 + s. Sort p, 4, -5, 3/2.
-5, p, 3/2, 4
Let s = 0.45 + -0.35. Sort 1/8, -0.1, -0.2, s in descending order.
1/8, s, -0.1, -0.2
Let m be -3 - (-6 + 114/42). Let r = 2147/13 - 165. Sort 1, -5, m, r.
-5, r, m, 1
Let z be (12/14)/((-4)/28). Let v be 34/6 + (-2)/z. Suppose 4*s + 4 = 8*s. Put s, -5, v in ascending order.
-5, s, v
Suppose 0 = 4*k + 3*u + 265 - 275, 4 = 3*k + 4*u. Suppose 0*w = -3*w + 4*x + 10, 7 = 3*w - x. Sort k, -7, w in decreasing order.
k, w, -7
Let w be (-16)/(-20)*-12 + 10. Sort -0.25, 4, w, 1 in descending order.
4, 1, w, -0.25
Suppose -4*c = 3*k - 32 + 23, 8 = -5*k + c. Put -0.02, k, 12, -0.1 in decreasing order.
12, -0.02, -0.1, k
Suppose 0 = -51*s + 55*s - 3*d + 25, 2*d = 4*s + 22. Suppose 0 = -0*t - 5*t - 25. Sort t, 0.5, s in ascending order.
t, s, 0.5
Suppose -28 = -3*p - 5*j + 6, 0 = 2*p - 5*j + 19. Let n be 2 - 30/26 - 3/p. Sort n, -4, -26, 2 in ascending order.
-26, -4, n, 2
Let u(j) = 4*j**2 - j - 3. Let a be u(-1). Suppose -13 = -3*i - 4. Put a, -4, i in increasing order.
-4, a, i
Suppose 0 = -4*v + 4*i - 4, -3*i - 1 = -291*v + 289*v. Let c be (-4)/(-6) + (-8)/12. Suppose c = 4*f - 2*f. Put -2, v, f in descending order.
f, -2, v
Let b(v) be the third derivative of v**5/60 + 7*v**4/12 + 11*v**3/3 - 4*v**2. Let i be b(-12). Suppose 0 = h + 3*h + 12. Sort 6, i, h in increasing order.
h, i, 6
Let z(h) = -h - 14. Let w be z(-13). Let k be w/((2 - 4)*4). Sort k, -2, 0.04.
-2, 0.04, k
Let r = 0 + -21. Let x = 262.3 + -284. Let o = x - r. Put 3/5, 5, o in descending order.
5, 3/5, o
Suppose -5*r - 16 + 1 = 0. Let k be 2 + -10 - r/1. Let t = 2 + -3. Put k, t, 2 in descending order.
2, t, k
Let m(y) = 5*y**2 - 25*y - 31. Let d(i) = 6*i**2 - 26*i - 32. Let z(o) = -3*d(o) + 4*m(o). Let r be z(12). Sort -1, r, -5, 2 in decreasing order.
2, -1, r, -5
Let r(l) = 2*l**2 - 60*l - 58. Let t be r(31). Suppose -24 = -4*o - 4*g, 4 + 16 = 2*o + 4*g. Sort 5, o, -3, t in descending order.
5, t, o, -3
Let s be (2/(-3))/((-1)/(-3)). Let v be (-2)/(-6 - (-18 - -14)). Put s, 5, v in ascending order.
s, v, 5
Suppose 5*m + 3*a = 2 + 19, 0 = -4*m - 3*a + 18. Suppose 0 = m*s - 6*s + 3. Sort -4, -34, s in ascending order.
-34, -4, s
Let g be 45/(-175) + (-2)/(-5). Let k = -16 + 22. Sort -5, 5, k, g.
-5, g, 5, k
Let l(u) = u**3 - 2*u**2 - 5*u + 4. Let n be l(3). Let m(p) = p**2 + 12*p + 28. Let s be m(-4). Put 1, s, n in increasing order.
s, n, 1
Let c be (15/(-6))/((-2)/(-4)). Suppose -k = -4*u - 11, 3*u = -4 - 2. Put 0, k, c in increasing order.
c, 0, k
Let l(x) = 3*x**2 + 2*x - 1. Let a be l(1). Suppose g + 63 = a*b - 0*g, 0 = -4*g + 20. Suppose -q + b = -4*o, 3*q - o - 3 = 4. Put 2, 0, q in descending order.
2, q, 0
Let w be (-13)/(-4) + 2/(-8). Let v be (1/(-24))/(491/(-2946)). Sort w, 0.2, v, 1 in descending order.
w, 1, v, 0.2
Let y = 21.68 - 22.08. Sort 0.3, -1/74, 2/7, y in descending order.
0.3, 2/7, -1/74, y
Let w be (-26)/(-5) + 16/(-80). Let y(u) = 2*u**2 - 9*u + 8. Let c be y(w). Put -3, -2, c in descending order.
c, -2, -3
Suppose -f - 14 = -2*s, 0 = 5*s + 3*f - 7 - 6. Suppose 0 = -2*w + 29*w - 108. Put w, 0, s in increasing order.
0, w, s
Let b = 3.02 - 0.02. Let p = 50 + -50. Put b, p, 5, 0.2 in ascending order.
p, 0.2, b, 5
Suppose 16 = -4*g + t - 2, 3*g - 5*t + 22 = 0. Let m be 899/465 - 36/20. Sort g, -2/11, -2/9, m in increasing order.
g, -2/9, -2/11, m
Let r be -4 + (-201)/(4 - 7). Let o = 60 - r. Sort -5, o, 3 in decreasing order.
3, o, -5
Let o = -1.77 + 1.67. Let y = -0.7 + -4.3. Let q = 5 + -8. Sort q, o, y.
y, q, o
Let s = -158 + 153. Sort -2, 20, s, 5 in descending order.
20, 5, -2, s
Let t = -234 - -101. Let g = t - -132. Sort g, 5/4, -3/8.
g, -3/8, 5/4
Let i be -1 + (2 + -10)/(-2). Suppose 8 = -342*c + 346*c. Suppose 5*w - x = i, -c*w - 3*x - 9 = -4*w. Put w, 3, 5 in decreasing order.
5, 3, w
Suppose 105 = -5*w - 4*g, -w - 4*g - 3 = 2. Let m = -99/4 - w. Sort -1/4, -2/21, m.
-1/4, -2/21, m
Let p = -0.21 - 2.89. Let b = 3.3 + p. Sort 0, b, -5.
-5, 0, b
Suppose -y - 2 = 0, -3*u - y + 30 = -4*y. Suppose 0 = -13*z + u*z + 15. Suppose z*j + 2 = j. Sort j, 3, -4 in descending order.
3, j, -4
Let y = 97.7 - 98. Sort 0.5, -3/7, -2/9, y.
-3/7, y, -2/9, 0.5
Let p be 3 + (4/16 - (-3)/4). Let j = 0.2 - 0.6. Let o = 6 - 4. Sort p, j, o in ascending order.
j, o, p
Let l = 0 - 4. Suppose -z + 4*z + 18 = 0. Let a = -2 - z. Put l, a, 0 in decreasing order.
a, 0, l
Let k be 22/36 + ((-7240)/1629 - (-4)/1). Let v = -6 + 8. Sort 0.1, v, k.
0.1, k, v
Suppose 0 = -2*d + 4*k + 50, 0 = 2*d - k + 1 - 60. Sort 5, d, -2 in increasing order.
-2, 5, d
Let i = -66 + 71. Put -3/7, 0.06, i in increasing order.
-3/7, 0.06, i
Let f = 103.8 - 9.8. Let r = -97 + f. Put 0, 4, r in increasing order.
r, 0, 4
Let d be 101/2 - (3/(-2) + 1). Suppose 0 = 7*g + d + 5. Put -1/3, 1/4, g in increasing order.
g, -1/3, 1/4
Let z = 2 + -7. Let p be (-3)/6 - (-21)/(84/38). Suppose 4*q + 28 = -4*t, 3*q - 5*q - 3*t = 19. Sort z, q, p in descending order.
p, q, z
Let p = 419 + -419.3. Let n = 10/3 + -11/6. Sort 2/9, p, n in descending order.
n, 2/9, p
Let q(k) = -k**2 + 8*k - 12. Let p = 44 + -38. Let a be q(p). Suppose 0 + 10 = -2*c. Sort a, 5, c in increasing order.
c, a, 5
Let p = -1.05 + 1. Let h = p + 4.05. Let j = -114 - -109. Sort h, -1, j.
j, -1, h
Let h = -20 + 5. Let s = -0.775 - 2.225. Put h, s, 1 in increasing order.
h, s, 1
Let k(v) = v**2 + 9*v + 8. Let n be k(-8). Sort -4, -5, n, 14 in decreasing order.
14, n, -4, -5
Let q be -2*(-2 + -1 + -1). Let j(v) = 5*v + 40. Let o = 133 + -140. Let d be j(o). Sort -2, q, d.
-2, d, q
Let f(p) = -4*p - 16. Let m be f(-4). Let r be m*2*4/(-16). Put r, 6, -3 in ascending order.
-3, r, 6
Let d = 38 - 27. Suppose -d = 4*m + 2*q - 5*q, -5*m + 3*q = 13. Let l(c) = -c**2 + 37*c - 281. Let r be l(26). Put -5, m, r in decreasing order.
r, m, -5
Let r = 17 - 15. Let p = -11 - 0. Let u = -10 - p. Sort 1/2, u, r in decreasing order.
r, u, 1/2
Let h = 135 - 353. Let x = h - -1530/7. Put x, 9, -1/11 in ascending order.
-1/11, x, 9
Let a = -471 + 468. Let h = -0.2 + -0.2. Sort 1/3, a, h, 2.
a, h, 1/3, 2
Let s = -196 + 290. Let k = s + -96. Let f(x) = x. Let h be f(1). Sort 5, k, h.
k, h, 5
Let o = 812 + -840. Sort 9, 0.3, o in descending order.
9, 0.3, o
Let k = 36 + -35.
|
{
"pile_set_name": "DM Mathematics"
}
|
e 0 = -2*k + 4*f + t, -k - 57 = -5*k - 3*f. Let n = 437 - k. Is n prime?
True
Suppose -26*x + 139539 = -158603. Is x a prime number?
True
Suppose -34 = 5*s - 49. Let p(a) = 5*a**3 + 2*a + 8. Is p(s) a composite number?
False
Let u(s) = 5*s**3 + 28*s**2 + 86*s - 46. Is u(23) a composite number?
True
Let m be 6/10 + (-414)/90. Let b(i) = -296*i + 19. Is b(m) a composite number?
True
Let l(k) = k**3 + k**2 + k + 1. Let p(w) = 1844*w**3 + 3*w**2 + 2*w + 2. Let i(u) = 3*l(u) - p(u). Is i(-1) composite?
True
Let v = -4432 + 8659. Is v a composite number?
True
Let n = 2200 - -2121. Is n composite?
True
Let b(c) = -560*c - 2. Let f be b(15). Is -2*(-4)/((-16)/f) a composite number?
False
Suppose 2*v - 21740 = -2*g, -4*v - 5*g + 6987 + 36497 = 0. Suppose 3*f - v = -3*f. Is f a composite number?
False
Suppose -2*j - 70690 = -12*j. Is j a composite number?
False
Suppose 0 = -4*j + 3 + 5. Suppose -m - 4*c = -c - 191, 0 = -m + 4*c + 184. Suppose j*z + 6 - m = 0. Is z a prime number?
False
Suppose 0 = 2*i - 2*y - 1950, 0 = 3*i - i + y - 1938. Is i a composite number?
False
Suppose 5*j + 4*z = -1059, -2*j - 630 = j - 3*z. Let m = j - 87. Let r = -107 - m. Is r composite?
False
Let z(y) = -y**2 + 11*y - 7. Let a be z(10). Suppose 0*r - 426 = -a*r. Is (r/3)/(8/12) prime?
True
Suppose -2*f + 2*q + 526 = 0, -795 = -3*f + 2*q + 3*q. Suppose -2*o = 4*t - 490, -o - 3*t - 19 = -f. Is o a prime number?
False
Suppose -h - x = h - 600, -3*h = -5*x - 874. Let t = -107 + h. Is t prime?
True
Let k(m) = -32432*m + 14. Is k(-1) a prime number?
False
Let q = 43 - 45. Is (6/q - -2)*(-1994 - -1) a composite number?
False
Is (-5532 - 1)/(-2*1/2) composite?
True
Let d(f) = -2*f**3 - 15*f**2 - 38. Is d(-11) prime?
True
Let u(f) = 2*f - 9. Let r be u(7). Suppose 0*t + 2*t - 8 = l, 0 = 4*l + r*t + 6. Is -4 - l - (2 - 28) prime?
False
Suppose 22519 = 6*a - 43757. Is a/4 + 2/((-4)/1) prime?
False
Suppose 3*a + 10244 = 47273. Is a prime?
True
Let q = 3889 + -1168. Is q composite?
True
Let l = -75387 + 113078. Is l a prime number?
True
Let n(k) = -k**2 - 4*k. Let h be n(-4). Suppose h = -5*b - 358 - 52. Is (b/8)/((-2)/104) a prime number?
False
Let t(b) = b**3 - 26*b**2 - 7*b - 6. Let o be t(20). Let d = o + 4905. Is d prime?
False
Suppose 0 = -4*x + 1 + 15, -i + 8 = 2*x. Suppose i = p - 3*p + 8, 0 = -3*u + p + 329. Is u prime?
False
Let l be 21*(-4)/(-12)*-64. Is -1 - ((l - -2) + 2) composite?
False
Suppose -3*i - d = -325, 0 = -3*i + d + 165 + 158. Let o = -37 + i. Is o prime?
True
Let a = 5318 - 655. Is a a prime number?
True
Is (20/(-8))/(20/(-479608)) prime?
True
Suppose -8*g = -5*g - 1257. Is g prime?
True
Suppose -2*a = -4*c + 20 - 4, -3*a = -4*c + 12. Let h be 542*3*c/9. Suppose 4*t - 869 = m, t + 4*t - h = -m. Is t a prime number?
False
Let s = -90 - -92. Is 1126/s*(1 - 0) composite?
False
Let f(w) = 46*w + 10297. Is f(0) a prime number?
False
Let r(y) = -78*y**2 - y. Let h be r(-1). Let o = -12 + h. Is (4 + -3)*-1*o a composite number?
False
Suppose 0 = f + f + 2. Is (-2695)/(-5) + (f - 3) a composite number?
True
Suppose -17*p + 21589 = -30448. Is p prime?
True
Let h(i) = -i**3 - i**2 + 5*i + 2. Suppose 5*t + 11 = -4. Let n be h(t). Let s(v) = 17*v - 6. Is s(n) a prime number?
True
Suppose 4*k - 5*y - 132 = -6*y, 3*k = -4*y + 112. Suppose 974 = -30*l + k*l. Is l a composite number?
False
Let t(m) = -4*m**2 + 4*m + 14. Let o be t(-8). Let j = 465 + o. Is j a composite number?
False
Let x = -13859 + 22192. Is x prime?
False
Let a(y) = 40*y**2 - 2*y - 1. Suppose -2*g - 61 = -3*f - 179, 78 = -2*f + 2*g. Let m = f + 38. Is a(m) a composite number?
False
Let y(j) = -j**3 + 2*j**2 - 1. Let f be 1*(-3 + 0 + 6). Suppose -a + k - 7 = 0, f*a = -2*a + 4*k - 30. Is y(a) a prime number?
False
Let g(i) = i**2 + 3*i - 2. Let t be g(-5). Suppose -t = -6*u + 8*u. Is (20/30)/(u/(-114)) a composite number?
False
Suppose -i + 3 = 0, l - 2*i = -0*l + 8077. Is l composite?
True
Let w(c) = -7*c + 15 + c**2 - 10*c - 9*c + 9*c. Let x be w(11). Is (1 - x/6)*14 composite?
True
Let f be (-180817)/(-39) - 2/6. Suppose -5*n = 5*d - 10365, 0 = 4*d - 4*n - 3624 - f. Is d prime?
True
Let w(u) = -4*u**3 - u**2 + 1. Let h be w(-1). Suppose -2*t + h*t = f + 2300, -2*f - 3449 = -3*t. Is t a composite number?
False
Is 43*41 + -6*(-1)/(-3) a composite number?
True
Suppose 13*t - 18*t - 4*v = -28173, 4*v = -4*t + 22540. Is t prime?
False
Let u be (-3 + -1 + 3)*-4. Suppose d - 6 = -u. Suppose 0 = -y - 2*y - 4*z + 277, d*y - 4*z - 178 = 0. Is y a prime number?
False
Let t(x) = -x**3 + 10*x**2 + 5*x - 8. Let j be t(-7). Suppose -u + 790 = 2*b, 0*b + 2*b - 3*u - j = 0. Is b a composite number?
True
Let p be 4/3 + (-32)/24. Suppose 6*v = -p*v + 54. Is (-938)/(-4) - v/(-18) prime?
False
Let s = 1219 - -2574. Is s a prime number?
True
Let w(o) = 16877*o**2 - 16*o - 14. Is w(-1) prime?
True
Let u be (-9858)/18 + (-2)/(-3). Let c = u + 1036. Is c composite?
True
Let l = 1866 + 7639. Is l prime?
False
Suppose -8228 = -4*k - 4*n, 2*k - 4*n = -425 + 4515. Is k prime?
True
Suppose 0 = -2*f + 923 - 3853. Let r = f - -2596. Let g = r - 32. Is g a composite number?
True
Is (-2)/6 - 9/(135/(-72920)) prime?
True
Suppose 18*j = 13*j + 64895. Is j composite?
False
Suppose 0 = -4*f + 4*u, -6 = -3*u - 0*u. Suppose -b = -4*b + f*x + 879, x - 3 = 0. Is (b - 0)*24/40 prime?
False
Suppose -5*x + 78 + 62 = -5*h, 0 = 4*h. Let m = x + -25. Suppose -m*r - 2*r = -1955. Is r a prime number?
False
Let v be (-6123)/5 - 87/(-145). Let l = v + 3031. Is l composite?
True
Suppose -6*j + 72 = -192. Let o = 74 - j. Suppose o = 5*w - 3*w. Is w prime?
False
Let x be (24/6 - 26)*(-33 + 1). Let j = -307 + x. Is j a prime number?
True
Suppose 0 = 5*i - 8*i + 15. Suppose i*z - 2*z + 4*h = -1987, -5*h = -2*z - 1317. Let t = 968 + z. Is t composite?
False
Suppose -3*l + 389 = -2*s + 6*s, -12 = 3*s. Is ((-167)/3)/(-2 + 261/l) a composite number?
True
Suppose -20 = 2*v - 5*p, 0 = -4*v + 3*p - 7 - 5. Let b(w) = -w**3 - w**2 + 2*w + 265. Is b(v) composite?
True
Suppose 0 = 5*b + 3*d + 16, 4*b - d + 2*d + 10 = 0. Let i(s) = -2*s - 4. Let l be i(b). Is l + ((-3)/(-1) - -698) composite?
False
Let w(m) = 10*m**2 - 1. Let h = 3 - -8. Suppose -g + 10 = h. Is w(g) composite?
True
Let o = 13 - 11. Let m be 1865/10 + o/(-4). Suppose -5*a + 4*h = -310, -3*a + m = 3*h + h. Is a a prime number?
False
Let d(o) = o**2 - 31*o - 23. Is d(-12) composite?
True
Let c be ((-5)/4)/(10/(-8) - -1). Suppose 2*u - c*q = 3719, -3*u + q = -2*q - 5556. Is u prime?
True
Suppose -5*c + 20 = -2*b + b, -2*b - 8 = -2*c. Suppose b = 4*f - 3*f - 1540. Suppose -f = -5*k - 215. Is k composite?
True
Suppose -50100 = -4*x - 5644. Is x composite?
True
Let c(a) = -3*a - 38. Let u be c(-11). Let x(w) = -26*w - 8. Is x(u) prime?
False
Let z(n) = 282*n**2 - 11*n - 2. Is z(3) a composite number?
False
Suppose -16*i + 6 = -18*i, 2221 = 5*n + 3*i. Is n prime?
False
Is (12/4 - 4)*-5 + 8322 prime?
False
Let f be (-9376)/16*(-2 + 1). Suppose -124 = -5*l + f. Is l composite?
True
Let d(h) = -h**3 + 5*h**2 - h + 7. Let i be d(5). Suppose -10 = -i*c, -3*g - 4*c + 0*c = -41. Suppose 2*w - g*w = -670. Is w a prime number?
False
Let g be (2 - 14) + 0/3. Let s(m) = 8*m + 3*m + 2*m**2 + 0*m**2 + 7. Is s(g) a composite number?
False
Let r = 3 + -1. Let i be 1/(2*r/8). Is 354 + (-4 + i - -1) a composite number?
False
Let k = 0 - -4. Let h be 7/((-21)/(-12)) - 4. Suppose 4*g + 54 = 2*s, -s + k*g + g + 30 = h. Is s prime?
False
Let f = 2961 - 382. Is f a prime number?
True
Suppose 0*k + t = 5*k - 24, 5*t = 5*k - 20. Let g(h) = -2 - 2 - 2 + 5*h. Is g(k) prime?
True
Let b = 9 - -14. Let u = 29 - b. Suppose -u*p + 4674 = -0*p. Is p a composite number?
True
Suppose -5*r = h - 63053, 0*r = 3*r - 2*h - 37837. Is r a prime number?
True
Suppose -30 = -4*w - 6. Let x be (-2)/4*(-2 - (5 - -3)). Suppose w*z - x*z = 89. Is z composite?
False
Let a(w) = -w**3 + 7*w**2 + 8*w + 3. Let h be a(8). Let k = -16 + 19. Suppose -h*d - k*g + 493 = d, 5*g + 533 = 4*d. Is d a composite number?
False
Let x be 90/40 + 3/4. Suppose 0*c - 2*j = c + 141, 0 = 2*c - x*j + 296. Let i = -86 - c. Is i a composite number?
False
Let n be (-360)/(-50)*70/(-4). Let v be (-468)/n + (-4)/(-14). Suppose 6*q - 2221 = q + 3*o, 0 = v*q + 2*o - 1768. Is q prime?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
6*s - 572 + 1642. Calculate o(s).
0
Let m(k) be the third derivative of 2*k**2 - 1/60*k**5 + 0*k + 5/24*k**4 + 2*k**3 + 103. Calculate m(9).
-24
Let v be 2/(-3 + 114/30)*(6 + -2). Let i(w) = -w**3 + 9*w**2 + 3*w + 67. Give i(v).
-3
Let v(f) = 3*f + 1. Let n be (20/15 + -1)/((-3)/(-81)). Let i(t) = -22 - 2*t + n*t - 5*t. Let o be i(12). What is v(o)?
7
Let m(f) = f + 3. Suppose 0 = 6*z + 19 + 149. Let r be (-1)/(-6) - z/(-168). Let g be 0 + (-12 - r)/3. Determine m(g).
-1
Let p(y) = -5*y**3 - 12*y**2 + y + 9. Let i(a) = 2*a**3 - a. Let o(g) = 2*i(g) + p(g). Let l(t) = -t**2 - t. Let m(n) = 6*l(n) - o(n). Give m(-6).
21
Suppose 0 = -3*l + 3*d + 17 - 251, 141 = -2*l - 3*d. Let m = l + 153. Let j = 77 - m. Let v(n) = -9*n. What is v(j)?
9
Let d(b) = b**2 + 19*b + 4. Suppose 17*x + 245 - 7 = 0. What is d(x)?
-66
Let d(z) = -21*z - 1966 + 3696 - 1902. Calculate d(-8).
-4
Let l(b) = -12*b + 258. Suppose -14*m = -44*m + 630. Give l(m).
6
Let q(w) = -w + 51 + 3*w + 3*w + 6*w - 6*w. Calculate q(-8).
11
Let r(m) = -m**2 - 15*m + 4. Suppose 3*h - 11 = 1, 2*c + 2*h = 20. Let d be (45/6)/((-21)/c + 3). Calculate r(d).
4
Let r(d) be the second derivative of -d**4/12 - 3*d**3/2 + 3*d**2 + 4*d. Let v be -3 + 1*(-65)/52*4. Calculate r(v).
14
Let r(t) = 13*t**2 + 12*t + 4657 - 4693 - 12*t**2. Determine r(-17).
49
Let q(g) = -g**3 - 19*g**2 + 42*g + 5. Let p be q(-21). Let n(x) = -x**2 + 16*x - 12. Let c(k) = -2*k + 2. Let w(l) = -4*c(l) - n(l). What is w(p)?
-11
Let a(j) = 3482 + 17*j - 6980 + j**2 + 3537. Give a(-16).
23
Let i(c) = -94*c + 12. Let x(m) = -87*m + 11. Let s(k) = 10*i(k) - 11*x(k). Suppose -3*n + 1 = 4. Give s(n).
-18
Let j(l) = 19*l**2 - 40*l**2 - 6 + 20*l**2 + 4*l. Suppose 384 - 124 = 4*k. Suppose 0 = 12*o + o - k. Calculate j(o).
-11
Let n(z) = -14*z - 68 - z**2 + 27 + 11 - 3*z**2. Give n(-6).
-90
Let o = -503 + 507. Let p(a) = -2*a - 1 - 3*a + a - o*a + 0*a. Calculate p(4).
-33
Let f(s) = -53*s**2 + 171*s**2 + 8*s - 58*s**2 + 7 - 61*s**2 + 1. Determine f(8).
8
Let x = -41755 - -41756. Let c(m) = 30*m**3 + 3*m - 1. Give c(x).
32
Let g = 854 - 853. Let x(s) = -36*s**2 - 4*s + 2. Let m(z) = 53*z**2 + 6*z - 3. Let n(v) = 5*m(v) + 8*x(v). Calculate n(g).
-24
Let h(m) = m + 12. Let w be -1 + (-1044)/(-10) + 2/(-5). Suppose -47 - w = 30*l. Give h(l).
7
Let p(f) = f**2 + 4*f - 18. Let g be p(-12). Let b(o) = 2*o**2 - 158 + 81 + g. Calculate b(-2).
9
Let b be 10/(-5)*72/2. Let u = b - -73. Let g(y) = -2*y**3 - 8*y**2 + 8*y - 1. Let t(o) = -o**3 + o**2 - o. Let r(k) = g(k) + 6*t(k). Give r(u).
-9
Let s(h) = 4*h - 6. Let o(u) = 8*u**2 + 4*u. Suppose 11 = 4*l - 5*g, -3*l = -0*l + 5*g + 18. Let b be l/(-3) + 40/(-30). Let w be o(b). Determine s(w).
10
Let z(k) = k**2 + 2*k - 4. Suppose 5*h = -1 + 26. Suppose 0 = -2*i + h*i - 102. Let n be (-6)/(-24) + i/(-8). Give z(n).
4
Let r(f) = f**2 + 20. Suppose 2*l + 6*x = x + 2*x, 13*x - 4*x = 0. What is r(l)?
20
Let q(t) = 9481*t**3 - 4742*t**3 - 16*t**2 - 2*t - 2 - 4738*t**3. Determine q(16).
-34
Suppose -39 = k + 5*q, q = 3*q + 8. Let x be 0 + -1 - 57/k. Let t(a) = -1 + 0*a**2 + x*a**2 - 3*a**2 + 2*a**2. What is t(1)?
0
Let v be 4*(3/2)/3. Let o be (27/(-1 - 2))/(-1). Let c(u) = -o*u + 4 - 11*u + 15*u + u**v. Calculate c(5).
4
Suppose -p + u = 18, -4*u = -p - 2*u - 21. Let g(l) = -8*l**2 + l**3 + 7*l**2 - 15 + 12*l**2 - 20 + 13*l + 5*l**2. Give g(p).
-5
Let f(c) = 3*c**2 - c + 1. Let j(m) be the second derivative of -m**4/12 + m**3/2 + 29*m**2/2 - 45*m. Let t be j(7). What is f(t)?
3
Let m(k) = 5*k + 13. Let x(s) = 3*s + 6. Let t(z) = -4*m(z) + 9*x(z). Suppose -195*g + 1007 = -1202*g. Determine t(g).
-5
Let s(k) = 2 - 11 - 5*k - 2 + 6*k. Let a be s(16). Let q(b) = -7*b + 7. Let p(w) = w - 1. Let o(m) = a*p(m) + q(m). What is o(-4)?
10
Let d(r) = r**2 - 7*r + 4. Let c(w) = -3*w - 21. Let z be 3/(3 - (-19)/(-6)). Let h be c(z). Let f = -28 + h. What is d(f)?
-6
Let y(l) = 31*l**2 - 148*l + 2. Let w(p) = 10*p**2 - 49*p. Let x(c) = 7*w(c) - 2*y(c). Let v be x(6). Let z(n) = n**3 - 6*n**2 + 2*n + 2. Give z(v).
-10
Let q(f) be the first derivative of -f**2/2 + 13*f - 1839. Let o be 9 + -2 + 0/1. What is q(o)?
6
Suppose 364 = 2*b - 96. Suppose 8*t - 54*t + b = 0. Let q(a) = 3 + 2 - a**3 + 4*a**2 + 2. Give q(t).
-18
Let c(x) = -4*x**2 - 52*x + 12. Let v be c(-12). Let q be ((-10)/50)/((-3)/v). Let r(g) = g - 3. Give r(q).
1
Suppose 2*i + u = -0*i + 7, 5*i = u + 28. Let s(p) = 7*p**3 - 7*p**2 - 21*p + 73. Let q(r) = -r**3 + 4*r - 11. Let k(y) = -6*q(y) - s(y). Calculate k(i).
28
Let q(w) = -w**3 + 2*w**2 + 43*w - 114. Let x be q(3). Let m(p) = -p**3 + 6*p**2 + 6*p + 10. Give m(x).
46
Let o(u) = -u**3 - 5*u**2 + 4*u - 4. Let w(l) be the first derivative of l**2/2 + l - 15. Let t = -16 - -15. Let m(i) = t*o(i) + 2*w(i). Give m(-5).
16
Let g(y) be the second derivative of -y**3/2 - 39*y**2/2 - y - 1189. Give g(-12).
-3
Let u(i) = 263*i - 784. Let g be u(3). Let v(p) = -p - 1. Let z(a) = -a**2 + 5*a + 8. Let x(j) = 3*v(j) + z(j). Give x(g).
-10
Let t = -62 - -84. Let x be 1*-3*t/33. Let h be (4/(-8))/(x/(-12)) - -5. Let d(m) = -m**2 - m. Give d(h).
-6
Let v be (7 - 16 - (-56)/(-7))/((-1)/(-1)). Let m(b) = 11*b + 180. Determine m(v).
-7
Let f(l) = 85*l**2 + 688*l + 103. Let a(n) = 6*n**2 + 53*n + 8. Let s(w) = -27*a(w) + 2*f(w). What is s(7)?
-3
Let y(f) be the third derivative of -f**6/360 + f**4/8 + 4*f**3/3 - 53*f**2. Let g(h) be the second derivative of y(h). Give g(-2).
4
Let j(c) = 2581 - 4761 + 24*c + 2223. Calculate j(-3).
-29
Let s(a) = 11*a - 37. Let j(c) = -21*c + 63. Let k(h) = 6*j(h) + 11*s(h). Determine k(-7).
6
Let y = 3504 + -3518. Let d(q) = q**3 + 16*q**2 + 25*q - 42. Determine d(y).
0
Suppose 2*j + 4*r = 20, -3*j + 8 = -j + r. Let c(l) = -l - 8. Let d(a) = -14. Let p = -115 + 120. Let f(z) = p*c(z) - 3*d(z). Determine f(j).
-8
Suppose -6 = 3*i, -2*m - 16 = -4*i - 40. Let n(t) = -2*t - t - 8 + 4*t. Determine n(m).
0
Let a(o) = -o**2 + 31*o - 22. Suppose 67 = 2*c - t, -3*t = -c - c + 81. What is a(c)?
8
Suppose -51*p + 72*p + 294 = 0. Let u(d) = -d**3 - 15*d**2 - 16*d - 16. Calculate u(p).
12
Let l(s) = s**2 + 7*s + 9. Let j(q) = 18*q - 66. Let p be j(4). Let z be 8/p*(-108)/24. What is l(z)?
3
Let o(m) be the second derivative of -m**5/20 + 5*m**4/12 - 5*m**3/6 - 2*m**2 + 270*m. Let a = -2 - -6. Suppose 12 = a*h - h. Determine o(h).
-8
Let c(b) = -b**2 - 2*b + 3. Suppose 0 = 5*m - 21*m + 48. Let g(o) = -o + 2. Let l(p) = m*c(p) - 5*g(p). Give l(-1).
-3
Let s(d) = -3*d**2 - 20*d + 25. Let c(g) = 2*g**2 + 13*g - 17. Let w = 235 + -230. Let o(f) = w*s(f) + 7*c(f). Give o(-8).
14
Let p(n) = -n**3 - 23*n**2 + 13. Let l(x) = 4*x**2 - 89*x + 439. Let a be l(14). What is p(a)?
13
Let o(q) be the second derivative of q**7/2520 - q**6/240 - q**5/30 - q**4/12 + 23*q**3/3 + 3*q + 22. Let j(y) be the third derivative of o(y). Give j(5).
6
Let q(n) = 8*n - 4 - n + 3. Suppose z = -5*c - 2*z + 14, -3*c = -z. Determine q(c).
6
Suppose -4*x - 23 = -8*b + 7*b, -b + 2*x = -15. Let l(c) = c**3 - 8*c**2 + 3*c + 27. Give l(b).
-1
Suppose -5*l + 603 = 2*t, -t - 4*l + 289 = l. Let k(d) = 150*d + 2 - t*d + 156*d. Give k(-2).
18
Let x(t) = t + 7. Let f(c) = -9*c**2 + c - 6. Let o be f(0). Let v(h) = 2*h + 8. Let j be 5 - -5 - (0 + 3). Let k(u) = j*x(u) + o*v(u). Give k(-1).
6
Let k(z) = 6*z + 31. Suppose 0 = 3*p + 3*y + 15, 3 + 3 = 3*p - 4*y. Suppose -8*q + 8 + 80 = 0. Let o(d) = d + 6. Let a(w) = p*k(w) + q*o(w). Determine a(5).
-1
Suppose 37*v + 14 = i + 34*v, 5*i = v + 14. Let r(j) = -1593*j + j**i + 1593*j. Suppose 0 = -4*t + y - 17, -2*y + 7 = -t + 1. Determine r(t).
16
Let f(a) = -a**2 + 9*a - 10. Let p(x) = 2*x**2 - 48*x - 63. Let k(i) = -i**2 + 23*i + 31. Let c(j) = -9*k(j) - 4*p(j). Let l be c(17). Give f(l).
4
Let i(b) = -b**3 - 11*b**2 + 3*b + 27. Suppose 6 = -2*y, -5*y - 39 = 3*l + 9. What is i(l)?
-6
Suppose 0*d - 3*f + 53 = -4*d, -2*d - 23 = -5*f. Let r = 16 + 1. Let h = d + r. Let k(a) = a**3 - 2*a**2 - 4*a + 1. What is k(h)?
-2
Let q = 12 - 11. Let r = 100 - 94. Let v(h) = -618*h + 619*h + r*h**2 - h**2. Determine v(q).
6
Suppose -10 + 4 = -2*i. Suppose -3*t = 2*a - t - 10, 0 = a - i*t + 15. Let k(q) = -q**3 + 2*q**2 - q - 4. Give k(a).
-4
Let p(f) = -2*f**2 + 57*f - 359. Let w be p(9). Let x(i) = i**3 + 7*i**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
*j + 5. Let z(u) = 4*p(u) - 3*q(u). List the prime factors of z(-4).
3, 11
Let c be (-20)/((14/(-4))/(-7)). Let q be ((-32)/(-10))/((-8)/c). Suppose t = 3*u - 2*u + q, 5*t + u - 68 = 0. List the prime factors of t.
2, 7
Let b be ((-2)/2)/((-2)/34). Let a = b - 7. List the prime factors of a.
2, 5
Suppose -44 = -3*p + 4*y, 2*p = y - 0*y + 21. Let z = -6 + p. Suppose -3*h + 5*r + 25 = 4, r + 14 = z*h. What are the prime factors of h?
7
Suppose 0*g = h - 4*g - 24, -h - 8 = 4*g. Suppose -4*p - 16 = 4*z, 4*z - h*z - 13 = p. What are the prime factors of (4/14)/(p/(-119))?
2, 17
Suppose 0*v - 10 = -4*z + 2*v, -4*v - 4 = 0. Suppose -z*a + 2*r = 3*a - 46, 4*a = 4*r + 32. What are the prime factors of (a - 16)*(1 + -2)?
2, 3
Let a be 3/(-9) + 4251/9. Suppose -m + a = 4*z - 0*m, -238 = -2*z - m. Suppose -x - 2 = -5*i, -i + z = 4*x + 4*i. What are the prime factors of x?
23
Suppose d = -4*d + 10, 3*d + 4 = 2*k. Let g = 19 + -15. Suppose g*t + 2*h = 104, -3*t = -2*t + k*h - 44. List the prime factors of t.
2, 3
Let o(h) = 61*h - h**2 + 25 - 61*h - 9. List the prime factors of o(0).
2
Let l(y) = y**3 + 11*y**2 + y + 15. Let u be l(-11). Suppose u*g = g + z + 46, 0 = -3*g - 4*z + 56. List the prime factors of ((-45)/6)/((-6)/g).
2, 5
Let w = -13 - -51. What are the prime factors of w?
2, 19
Let g = 170 - -26. List the prime factors of g.
2, 7
Suppose -12*l + 14*l = -2*h + 1116, 0 = -l - 4. What are the prime factors of h?
2, 281
Suppose 3*q + h - 6 = -29, 0 = -q + 3*h - 21. What are the prime factors of 544/6 - q/27?
7, 13
Let p = 8906 + -3119. List the prime factors of p.
3, 643
Let l = 22 + -2. Let u = l + 29. List the prime factors of u.
7
Let j(r) = -r**3 + 5*r**2 + 139*r - 18. List the prime factors of j(9).
3, 101
Let j(m) be the first derivative of -3*m**2 - 12*m + 13. What are the prime factors of j(-11)?
2, 3
Let g = -1637 - -2525. List the prime factors of g.
2, 3, 37
Suppose 263*q - 273*q + 1720 = 0. What are the prime factors of q?
2, 43
Suppose -3*z = -h + 7 + 15, 2*h - 23 = 3*z. Let m = z - -10. Suppose 5*k + 5*f - 50 = 0, 4 = 3*k - m*f - 20. What are the prime factors of k?
3
Let w be (-45)/20 + 1/4 - -29. Let x = 33 + w. List the prime factors of x.
2, 3, 5
Let v(f) = f**3 - 6*f + 4. Suppose -4*g = -9*g + 20. List the prime factors of v(g).
2, 11
Let q = 36 - -606. What are the prime factors of q?
2, 3, 107
Let z(f) = f**3 + 5*f**2 + 3*f + 5. Let j be z(-4). Let r = j - -1. What are the prime factors of r?
2, 5
Let l(j) = 3*j**2 + j - 2. Let h be l(2). Suppose -k = 4 - 3. What are the prime factors of (11 - h)*23*k?
23
Suppose 93 = -18*n + 9669. What are the prime factors of n?
2, 7, 19
Let d = -595 + 1025. What are the prime factors of d?
2, 5, 43
Let k(q) = q**3 - 18*q**2 + 136*q. List the prime factors of k(7).
7, 59
Let j(b) = -89*b + 124. What are the prime factors of j(-10)?
2, 3, 13
Let m(g) be the third derivative of g**6/60 + g**4/12 - g**3/6 + 2*g**2. Let u be m(1). Suppose -u*r = -157 + 13. List the prime factors of r.
2, 3
Let z(j) = 56*j**2 - 10*j + 22. List the prime factors of z(4).
2, 439
Let a(f) = -54*f + 4. Let t(b) = -53*b + 5. Let h(z) = 4*a(z) - 3*t(z). List the prime factors of h(-1).
2, 29
Suppose 0 = 4*m + 2*r + 184, 0*r + 4*r = 3*m + 116. Let f(w) = -w - 7. Let j be f(-6). List the prime factors of 1 + 3 + j - m.
47
Let m(i) = i**2 + 6*i + 7. Let w be (0/(-4) + -1)*12. Let j be w/(-8)*-2 - 3. List the prime factors of m(j).
7
Let p(r) = -r**2 - 11*r + 13. Let l be p(-12). Let c(q) = -15*q - l + 6*q + 10*q. What are the prime factors of c(7)?
2, 3
Let i(n) = n**2 - 11*n + 3. Let a be i(-14). Let x = a + -198. What are the prime factors of x?
5, 31
Let d(j) = 2*j**2 + 6*j + 13. List the prime factors of d(-18).
7, 79
Let l = 17 - 13. Suppose 100 = l*a + 2*f, 0 = -a + 3*a - 3*f - 66. Let i = a - 19. List the prime factors of i.
2
Let h = 33 + -32. Let d be (h + 1)/((-6)/39). Let l = 60 + d. What are the prime factors of l?
47
Let s = -70 - -1368. What are the prime factors of s?
2, 11, 59
Suppose 35*d + 218 - 26328 = 0. List the prime factors of d.
2, 373
Let c = -347 - -998. List the prime factors of c.
3, 7, 31
Suppose 3*v = 15, 4*d - 4*v - 3 = -55. Let z(w) = -w**2 - 19*w - 3. Let p be z(d). Suppose 0 = -4*u + 20, 0*o = -2*o + u + p. List the prime factors of o.
3, 5
Let s = 2552 - 1348. List the prime factors of s.
2, 7, 43
Let s(c) = -44*c - 24. List the prime factors of s(-9).
2, 3, 31
Suppose 12*z - 3*z = 16128. List the prime factors of z.
2, 7
Suppose 0 = 3*n + 92 - 236. What are the prime factors of (-860)/(-18) + (2 - n/27)?
2, 3
List the prime factors of (-9)/18*24 + 4719.
3, 523
Let v = -70 - -82. List the prime factors of v.
2, 3
Suppose 15408 = -458*r + 466*r. List the prime factors of r.
2, 3, 107
Let p(u) be the third derivative of 1/60*u**5 + 0*u**3 + 0*u - 1/12*u**4 + 0 - 5*u**2. List the prime factors of p(-6).
2, 3
Let x(q) = -q**3 + 4*q**2 + 4*q. Let c be x(5). Suppose -3*a - 19 = -5*n, -4*a = -0*a + 5*n + 72. Let w = c - a. What are the prime factors of w?
2
Let h(n) = 36*n - 9. Let k be h(7). Suppose -2*p + 121 = i, 2*i = -6*p + 3*p + k. What are the prime factors of i?
3, 41
Let j(h) = h**2 - 3*h + 12. Let a be j(5). Suppose -5*i + a + 3 = 0. Suppose 0*n - 4*n = i*b - 156, 0 = -5*b + n + 136. What are the prime factors of b?
2, 7
Suppose 3*d + 3*y = -6, -d + 2*d = y + 6. What are the prime factors of ((-16)/(-10))/(18/(-10) + d)?
2
Let t = 81 - 53. Suppose 0*j - a - 164 = -3*j, -j = 5*a - t. What are the prime factors of j?
53
Let c = 344 - 189. Suppose -h = -3*h + 8, -3*z - 5*h + c = 0. What are the prime factors of z?
3, 5
Suppose -d = 5*h - 18 - 10, 0 = d + 4*h - 23. Suppose -4*b + d*a = -0*a - 195, 2*a = -2*b + 108. List the prime factors of b.
3, 17
Let j = 799 + 1939. What are the prime factors of j?
2, 37
Let a = -31 - -50. Let m = a - -41. List the prime factors of m.
2, 3, 5
Suppose -5*m + 3*t + 1761 = -1129, -20 = -4*t. List the prime factors of m.
7, 83
Suppose -5*p - 33 = -10*p - o, -4*p - o = -26. Suppose -p*k + 8*k = 102. List the prime factors of k.
2, 3, 17
Suppose -45*x + 47*x - 24 = 0. What are the prime factors of 45 - (x/4 + -1) - 0?
43
Let v(k) = 7*k**2 - 5*k - 5. List the prime factors of v(-7).
373
Let g(y) = -y**3 - 2*y**2 + y - 3. Let u be g(-3). Suppose u*j + 0*j = -4*o + 193, 0 = j + 2*o - 67. What are the prime factors of j?
59
Let w(u) = -u**3 + u**2 - 6*u + 28. Let n be w(0). Suppose -22*a = -n*a + 1632. List the prime factors of a.
2, 17
Let m(u) = -4*u + 21. Let k be (27/(-15))/((-3)/15). Let l be m(k). Let v = 22 + l. List the prime factors of v.
7
Let w = 2 + -2. Suppose 2*b = -w*b + 2. What are the prime factors of (b/3)/(2/174)?
29
Suppose -2*r + 3250 = 8*r. Let t = r - 68. List the prime factors of t.
257
Let f = -42 - -127. What are the prime factors of (-1)/(-4 - -3) + f?
2, 43
List the prime factors of 85140/60 - -3*(-2)/3.
13, 109
Suppose 0 = -3*u + 3*h, u + h - 12 = -4*h. Let t be 630/(-39) + u/13. List the prime factors of (-7)/((0 - -2)/t).
2, 7
Suppose -b = -d + 283, 4*b + 0*b = -3*d + 870. Suppose 8*l + d = 10*l. List the prime factors of l.
11, 13
Suppose -a + 0 - 7 = 0. What are the prime factors of 746/7 + 1*(-3)/a?
107
Let i = -568 - -1416. What are the prime factors of i?
2, 53
Let q(y) = 2*y**3 - 2*y**2 + 6*y - 10. List the prime factors of q(3).
2, 11
Suppose -37*o = -13*o - 22320. List the prime factors of o.
2, 3, 5, 31
Let q be (8 + -2)*16/24. Suppose 0 = 4*v + v - 20, -l + q*v = 16. Suppose 5*t + 25 = 0, 4*c - t + l*t - 77 = 0. List the prime factors of c.
2, 3
Let g(w) = -3*w + 66. Let z be g(21). List the prime factors of -5 + 188/6*z.
89
Suppose 5*f - 2677 = 2558. What are the prime factors of f?
3, 349
Let j be (-16)/(-2 + 0) + -4. List the prime factors of 2/j + (-9265)/(-34).
3, 7, 13
Suppose -46*k + 32*k + 42112 = 0. List the prime factors of k.
2, 47
Let w be (24/(-3))/(-4) - 0. Suppose -5*n + i - 1 = 0, 8 = 2*n - w*i + 2. What are the prime factors of (-14)/n - 6/3?
2, 3
Let p(l) = -22*l - 6. Let m be p(-3). Suppose 5*b - m + 0 = 0. Suppose 0 = -3*v + b, -9 = 2*u - 3*v - 31. List the prime factors of u.
17
Let d(q) be the second derivative of q**4/3 + q**3/2 - 3*q**2/2 - q. Suppose -8*c - 63 = 13*c. What are the prime factor
|
{
"pile_set_name": "DM Mathematics"
}
|
third root of 5717 to the nearest integer?
18
What is the tenth root of 3132 to the nearest integer?
2
What is the cube root of 7052 to the nearest integer?
19
What is the fourth root of 13151 to the nearest integer?
11
What is 203 to the power of 1/2, to the nearest integer?
14
What is 4452 to the power of 1/6, to the nearest integer?
4
What is the square root of 100799 to the nearest integer?
317
What is 4046 to the power of 1/3, to the nearest integer?
16
What is 150 to the power of 1/2, to the nearest integer?
12
What is 10828 to the power of 1/3, to the nearest integer?
22
What is the square root of 35992 to the nearest integer?
190
What is 39146 to the power of 1/2, to the nearest integer?
198
What is the cube root of 3928 to the nearest integer?
16
What is the cube root of 37175 to the nearest integer?
33
What is the square root of 8582 to the nearest integer?
93
What is the fifth root of 2165 to the nearest integer?
5
What is the ninth root of 2181 to the nearest integer?
2
What is the third root of 29870 to the nearest integer?
31
What is the eighth root of 5467 to the nearest integer?
3
What is the third root of 14381 to the nearest integer?
24
What is the fifth root of 108 to the nearest integer?
3
What is 178 to the power of 1/9, to the nearest integer?
2
What is 62630 to the power of 1/5, to the nearest integer?
9
What is the seventh root of 1 to the nearest integer?
1
What is the third root of 2218 to the nearest integer?
13
What is the square root of 5287 to the nearest integer?
73
What is the square root of 858 to the nearest integer?
29
What is 3840 to the power of 1/2, to the nearest integer?
62
What is the square root of 22445 to the nearest integer?
150
What is the ninth root of 32827 to the nearest integer?
3
What is 33798 to the power of 1/2, to the nearest integer?
184
What is the square root of 2707 to the nearest integer?
52
What is 487 to the power of 1/2, to the nearest integer?
22
What is the cube root of 611 to the nearest integer?
8
What is 6828 to the power of 1/9, to the nearest integer?
3
What is 2845 to the power of 1/2, to the nearest integer?
53
What is 63 to the power of 1/2, to the nearest integer?
8
What is the cube root of 601 to the nearest integer?
8
What is the third root of 34196 to the nearest integer?
32
What is 27426 to the power of 1/6, to the nearest integer?
5
What is the third root of 70143 to the nearest integer?
41
What is 2181 to the power of 1/2, to the nearest integer?
47
What is the square root of 12581 to the nearest integer?
112
What is 412 to the power of 1/8, to the nearest integer?
2
What is the third root of 21595 to the nearest integer?
28
What is 1337 to the power of 1/10, to the nearest integer?
2
What is the cube root of 61852 to the nearest integer?
40
What is the cube root of 592 to the nearest integer?
8
What is 70574 to the power of 1/2, to the nearest integer?
266
What is the square root of 25336 to the nearest integer?
159
What is 45683 to the power of 1/2, to the nearest integer?
214
What is 4055 to the power of 1/3, to the nearest integer?
16
What is the ninth root of 13204 to the nearest integer?
3
What is the square root of 2002 to the nearest integer?
45
What is 14138 to the power of 1/2, to the nearest integer?
119
What is 8155 to the power of 1/4, to the nearest integer?
10
What is 614 to the power of 1/8, to the nearest integer?
2
What is 3432 to the power of 1/2, to the nearest integer?
59
What is the square root of 20930 to the nearest integer?
145
What is 129 to the power of 1/5, to the nearest integer?
3
What is the sixth root of 147 to the nearest integer?
2
What is the square root of 66304 to the nearest integer?
257
What is 10060 to the power of 1/7, to the nearest integer?
4
What is 6729 to the power of 1/6, to the nearest integer?
4
What is the cube root of 12712 to the nearest integer?
23
What is 68659 to the power of 1/2, to the nearest integer?
262
What is 137 to the power of 1/6, to the nearest integer?
2
What is 34656 to the power of 1/9, to the nearest integer?
3
What is 142467 to the power of 1/3, to the nearest integer?
52
What is the third root of 3566 to the nearest integer?
15
What is the ninth root of 108274 to the nearest integer?
4
What is the square root of 2077 to the nearest integer?
46
What is 2813 to the power of 1/3, to the nearest integer?
14
What is the seventh root of 22501 to the nearest integer?
4
What is 6145 to the power of 1/5, to the nearest integer?
6
What is the seventh root of 123071 to the nearest integer?
5
What is the cube root of 2127 to the nearest integer?
13
What is 1094 to the power of 1/3, to the nearest integer?
10
What is the square root of 900 to the nearest integer?
30
What is the square root of 65740 to the nearest integer?
256
What is the square root of 1565 to the nearest integer?
40
What is 104231 to the power of 1/4, to the nearest integer?
18
What is 104 to the power of 1/5, to the nearest integer?
3
What is 12581 to the power of 1/6, to the nearest integer?
5
What is the third root of 17933 to the nearest integer?
26
What is 2374 to the power of 1/3, to the nearest integer?
13
What is the sixth root of 19432 to the nearest integer?
5
What is 716 to the power of 1/3, to the nearest integer?
9
What is the cube root of 34823 to the nearest integer?
33
What is 11466 to the power of 1/2, to the nearest integer?
107
What is 148348 to the power of 1/3, to the nearest integer?
53
What is the fourth root of 72 to the nearest integer?
3
What is the square root of 728 to the nearest integer?
27
What is the cube root of 457 to the nearest integer?
8
What is 853 to the power of 1/7, to the nearest integer?
3
What is 1776 to the power of 1/3, to the nearest integer?
12
What is 2633 to the power of 1/3, to the nearest integer?
14
What is the third root of 718 to the nearest integer?
9
What is 63227 to the power of 1/2, to the nearest integer?
251
What is 2434 to the power of 1/2, to the nearest integer?
49
What is 1986 to the power of 1/7, to the nearest integer?
3
What is 970 to the power of 1/4, to the nearest integer?
6
What is the third root of 12186 to the nearest integer?
23
What is the square root of 3963 to the nearest integer?
63
What is 211 to the power of 1/2, to the nearest integer?
15
What is the third root of 36868 to the nearest integer?
33
What is 11394 to the power of 1/2, to the nearest integer?
107
What is 1456 to the power of 1/3, to the nearest integer?
11
What is the eighth root of 522 to the nearest integer?
2
What is 89907 to the power of 1/2, to the nearest integer?
300
What is the ninth root of 1056 to the nearest integer?
2
What is 4163 to the power of 1/9, to the nearest integer?
3
What is 878 to the power of 1/2, to the nearest integer?
30
What is 52982 to the power of 1/3, to the nearest integer?
38
What is the cube root of 9820 to the nearest integer?
21
What is 2864 to the power of 1/2, to the nearest integer?
54
What is the square root of 3709 to the nearest integer?
61
What is 885 to the power of 1/6, to the nearest integer?
3
What is 2673 to the power of 1/3, to the nearest integer?
14
What is the cube root of 5311 to the nearest integer?
17
What is 156295 to the power of 1/3, to the nearest integer?
54
What is the fifth root of 121972 to the nearest integer?
10
What is the seventh root of 3216 to the nearest integer?
3
What is the cube root of 323 to the nearest integer?
7
What is 5599 to the power of 1/3, to the nearest integer?
18
What is the square root of 84085 to the nearest integer?
290
What is 7612 to the power of 1/3, to the nearest integer?
20
What is the square root of 21786 to the nearest integer?
148
What is the cube root of 20216 to the nearest integer?
27
What is the tenth root of 72 to the nearest integer?
2
What is 3030 to the power of 1/3, to the nearest integer?
14
What is the ninth root of 653 to the nearest integer?
2
What is 36 to the power of 1/8, to the nearest integer?
2
What is 943 to the power of 1/5, to the nearest integer?
4
What is the sixth root of 906 to the nearest integer?
3
What is 2514 to the power of 1/2, to the nearest integer?
50
What is the cube root of 5590 to the nearest integer?
18
What is the third root of 1497 to the nearest integer?
|
{
"pile_set_name": "DM Mathematics"
}
|
t c be (3/m)/((9/3)/(-30)). Let q(a) = a**3 + 4*a**2 - 3*a + 15. Let b be q(c). Solve 18 + 2 = -b*p for p.
-4
Let a(z) = z**3 - z**2 + z + 1. Let j(d) = -3*d**3 + 5*d**2 + 7*d - 24. Let y(p) = -2*a(p) - j(p). Let h be y(4). Solve 2*u = 3*u + h for u.
-2
Let j = -1678 + 1737. Solve -68*o = -j*o + 72 for o.
-8
Let a(s) = -s**2 + 6*s. Let l be a(6). Let v be ((-10)/(-2) - 1) + -2. Suppose -729*u + 724*u - 2*y + 6 = 0, -4*u + 2*y = -12. Solve l*f = -v*f - u for f.
-1
Suppose 4*s - 2*b + 6*b - 16 = 0, 3*s - 5*b - 12 = 0. Let a(z) = 2*z - 5. Let d be a(-14). Let g be (-40)/(-22) + (2 - (-60)/d). Solve g*u = -0*u + s for u.
2
Let v = -252 - -252. Suppose v = l + 2*i - 6*i + 15, 2*i - 3 = 5*l. Let z(u) = u. Let f be z(2). Solve f*g - g = l for g.
1
Suppose -3*x - 15 = g, 7*x + 56 = -4*g + 36. Solve -p + 12 = g for p.
3
Let r be 2*(-1 + 4/1). Let u = 241 + -238. Suppose -7 = -5*j + u. Solve j*l - r*l = 20 for l.
-5
Let u = -76 - -108. Let b = u - 30. Solve -b = q - 7 for q.
5
Let p = 199 + -205. Let h be p - (-136)/16 - (-2)/4. Solve 0 = -h*c - 9 - 6 for c.
-5
Suppose 7*z - 101*q = -103*q + 3746, -1582 = -3*z + 5*q. Solve -9*m - z = -489 for m.
-5
Let r be 253230/(-460)*(-2)/3. Solve 0 = r*m - 375*m for m.
0
Let c be (-50)/15*-4*12/40. Suppose -2*b - 27 = -5*i, 4*b + 4 = i - 5. Solve -i = c*x + x for x.
-1
Suppose 0 = 3*b - 4*h - 68, -331*h = -4*b - 335*h + 16. Solve 18*t + 6 = b*t for t.
-1
Suppose -4*u = -z + 119, 0 = -3*z + 3 + 6. Let h = 34 + u. Suppose 0*a = h*o + 3*a, a = -3*o. Solve l + l = o for l.
0
Let l = -87 - -85. Let a(b) = 3*b + 6. Let h be a(l). Suppose -5*i - 29 = -3*n, -4*n - 6*i + 2*i - 4 = 0. Solve h = -n*x + 5*x for x.
0
Let j(c) = 2*c**3 - 4*c**2 + 1. Let i be j(3). Let v be i/(-5) - -3 - 120/(-25). Solve 3*n - 5*n = -v for n.
2
Let o be (10 - (3 + -350)) + -13. Solve 2*g + 352 = o for g.
-4
Suppose -z - f + 2*f = 506, 521 = -z - 4*f. Let u = z + 554. Solve 5*d + u = 14*d for d.
5
Let w = 109 + -55. Let m be (-3)/2*(-72)/w. Suppose 29 = 3*d + m*c, -4*d + 4*c - 37 = -7*d. Solve 0 = -2*o - 1 + d for o.
3
Suppose -4*m + 4 = 0, 5*q - 510 = -4*m - 466. Solve q*x = 183 - 143 for x.
5
Suppose 1722 - 2023 = -7*w. Solve w*x + 137 - 8 = 0 for x.
-3
Let v = -1881 - -1883. Solve 2*q + v*q = 8 for q.
2
Suppose 30*n = -23*n + 212. Let r(y) = -8*y - 4. Let x be r(-3). Suppose 0 = 8*u - x + n. Solve -i - u = -2*i for i.
2
Let r = 147 - 142. Suppose -40 = -3*b - 4*k, -5 = -b + 2*k + r. Solve -3 = 3*q - b for q.
3
Let d = -135 - -135. Suppose 4*j + 2*u - 4 = 0, -j + d*u - 2*u = 2. Solve -y = j*y - 6 for y.
2
Let b be (-1755)/(-60) + (-2)/8. Let a = 29 - b. Solve a = -5*v + 3 + 22 for v.
5
Suppose 5*y = 2*u + u + 20, -4*y = -4*u - 16. Suppose -3*j = y*g - 5*j - 16, -3*j = g + 10. Solve -w - g = -5 for w.
3
Let n(c) = -2*c**3 - c**2. Let z(u) = -4*u**3 - 2*u**2 + u - 1. Let l(y) = -5*n(y) + 2*z(y). Let j be l(1). Suppose j*g - 18 - 3 = 0. Solve -g*o = -4*o for o.
0
Suppose 34 = z - 3*q + 18, 0 = -5*z - 2*q + 63. Solve z*m - 9 = 16*m for m.
-3
Let y(r) = -2*r**2 - 12*r - 4. Let n be y(-2). Suppose 0 = -13*l + 10*l + n. Solve 0 = -l*s - 0*s + 12 for s.
3
Suppose -5*z = 5, 3*z + 0*z + 3 = 4*s. Let i be (-4)/18 + 406/126. Suppose i*j + 3 = s, 0*x - 38 = -3*x + 2*j. Solve x = g - 4*g for g.
-4
Suppose 0 = 3*u - 92 + 86. Suppose 4*t - u*r + 0*r = -6, 14 = -t + 3*r. Solve 4*g + t = 3*g for g.
-1
Let a(i) = 3*i**2 - 8*i - 19. Let d be a(8). Suppose -24 = 17*c - d. Solve -c*o + o - 20 = 0 for o.
-5
Let b = -183 + 185. Suppose b*i + 15*l = 12*l + 16, -6 = i - 2*l. Solve a = -a - i for a.
-1
Suppose -11 + 17 = 2*j - 3*c, -3*j - c = 2. Suppose 4*d - 4 = -4*w + 40, -w + 29 = 4*d. Solve j = 3*v - d*v for v.
0
Let o(u) = -u**2 + 30*u - 207. Let g(k) = k**2 - 30*k + 211. Let i(b) = 5*g(b) + 4*o(b). Let q be i(13). Solve 0 = 2*v + q for v.
-3
Let h = 141 + -376. Let p = h + 245. Let j be 70/21 + 1/(-3). Solve j*k + 1 = p for k.
3
Let m = 105 + -101. Let y(g) = 5*g - 5. Let a be y(2). Suppose -o - 5 = -a*x, -2*o - 6*x + 2*x = -m. Solve -5 = -o*z + z for z.
-5
Suppose 0 = 6*b - 17*b + 3806. Let m = 351 - b. Solve -15 - 5 = m*x for x.
-4
Suppose -2*p + 6 = 0, -2*n + 13*p = 15*p - 36. Solve d + n = 10 for d.
-5
Suppose -4*m = 4*b - 9708, -26*m + 24*m - 2421 = -b. Solve 18 = -2419*h + b*h for h.
3
Let v(n) be the third derivative of -n**6/120 + 11*n**5/60 - 23*n**4/24 + 7*n**3/6 - 80*n**2. Let b be v(8). Solve b*h - 11*h + 4 = 0 for h.
-1
Suppose 5*m = 2*k - 186, -23 = -2*m - 5*k - 80. Let a be (20/(-12))/(10/m). Solve 0 = a*t - 8*t + 10 for t.
5
Suppose -2*a + 6*a = 2*d + 4, 3*a = 5*d - 4. Let c be ((-14)/(-4) - 2)*d. Solve c*i + 2 = 5*i for i.
1
Suppose k + 2*h = 0, -k + 4*h - 30 = -6*k. Let x be (2646/21)/(-9) - 5/(45/(-126)). Solve x = k*t - 11 - 19 for t.
3
Let q be 5727/(-498)*((-20)/1)/2. Solve 8*k + 15*k = -q for k.
-5
Let h = 29 + -80. Let r = -51 - h. Let g be r/(-3 - -5 - 0). Solve n + g = -3 for n.
-3
Let t = 10 + -15. Let w be (-5 - (t + 3))/(6/8). Let m be w*(0 - (4 - 3)). Solve -3*v = -m*v + 3 for v.
3
Suppose m - 7*m = -m. Suppose -24 = -4*q + 2*d + 2*d, 4*q + d - 9 = m. Solve -q*r = 4*r + 35 for r.
-5
Suppose 14*p + 1447 - 1755 = 2772. Solve -214*a = -p*a - 6 for a.
-1
Let j(l) = -7*l + 306*l**2 + 18 + 305*l**2 - 2*l**3 - 608*l**2. Let a be j(2). Solve a = -6*z + z for z.
0
Suppose 21*r + 43 = 30*r - 308. Solve -12*z - 162 = -r*z for z.
6
Let k be 120/(-45) + 19/9*6. Solve -k*w = 5*w - 60 for w.
4
Let m be (-4)/6 - 145/(-87). Suppose -4*c - 2*f = -28, 7 = 4*f - m. Solve d = c*d + 20 for d.
-4
Let v be 6/57 + -13765*(474/95 + -5). Solve 0 = -151*k + v*k + 6 for k.
1
Let o = -1090 + 673. Let k = 422 + o. Solve -16 = -k*t + 4 for t.
4
Let x(r) = -r + 24. Let t be x(21). Suppose -8 = -3*q + 10. Suppose q = -h + t*h. Solve 2 + h = z for z.
5
Suppose 99*s + 153 = 945. Solve 9*z + s*z + 119 = 0 for z.
-7
Let a = -478 + 479. Solve -l - 4 = -a for l.
-3
Let v be 11 + 8 + 481 + -7 + -2. Solve 500*r + 45 = v*r for r.
-5
Let q = 59 + -57. Suppose w = 3*r - 0*w - 15, -2*r = -q*w - 10. Suppose -5*b + 9 = -y - 8, r*b = 2*y + 14. Solve y*x = 6 - 3 for x.
1
Suppose -65 = -4*x - n, -109*x + 108*x - 1 = 6*n. Solve 7*j - x*j = -50 for j.
5
Let c = -3717 + 3724. Solve 24*a - c*a + 51 = 0 for a.
-3
Let z = 1 + -1. Let s = 0 + z. Let b(f) = 53823*f - 107639. Let i be b(2). Solve s = -w - 6 + i for w.
1
Suppose -252*f + 250*f - 137 = -b, -3*b + 3*f + 405 = 0. Solve -26*l + b = -45*l for l.
-7
Let k be -3 + (-62)/(-10) + (-20)/(-25). Suppose k*j = -2*y + 20, -3*y + 10 = 3*j - j. Solve 0 = -2*m - y*m + 4 for m.
2
Let u = -125 + 280. Let l = 159 - u. Solve -1 = -k - l for k.
-3
Let c = 31 + 65. Let t = 105 - c. Solve -6*n + 15 = -t*n for n.
-5
Let f = 3 - 0. Suppose -2*t = -4*j + 8, 2*j - 2*t = 3*t + 20. Suppose j*v - 9 = 3*v, 0 = c - 2*v - 9. Solve -f*n + 6 = -c for n.
3
Suppose -525 = 6*p - 849. Suppose p = -118*s + 121*s. Let z(o) = -o**2 + 8*o - 1. Let x be z(7). Solve 3*f - x = -s for f.
-4
Let y be (-9*10/(-70))/(6/28). Let r = -74 + 76. Solve -r*s + y = -0 for s.
3
Let j be 51/2 + 30/60. Suppose j = 23*h + 3*h. Let u be 1/(2 - 14/8). Solve -l = u - h for l.
-3
Let j(o) = -24*o**3 - 9*o**2 + 2*o + 258. Let s be j(-6). Solve 0 = -8*g + s - 5130 for g.
-3
Let m = 52 - 48. Let o = 52 - 48. Suppose -5*t - f = -102, -2*f - m = -o*f. Solve 0*r - t = 5*r for r.
-4
Let k be (-7936)/(-896) - 16/(-14). Solve -29*m - k = -39*m for m.
1
Let p be 2/11 - ((-1120)/(-110) - 11). Suppose 4*o + 4 = 3*w, -5*w + 2*o = o - p. Solve w = -5*t + 12 - 32 for t.
-4
Let t = 44 - 44. Let y(j) = 3*j + 22. Let u be y(-3). Solve -8*k + u*k - 10 = t for k.
2
Suppose 37*z = -8*z + 1215. Solve -11 = -z*y + 43 for y.
2
Suppose 0*m = 3*m + 5*v - 161, 0 = 3*m - 2*v - 154. Suppose -51*i - 3 = -m*i. Solve 0 + 3 = -i*b for b.
-1
Let u = 658 - 944. Let d = 295 + u. Solve -m - d = 2*m for m.
-3
Suppose 36 = 104*q - 98*q. Suppose 0 = 327*d - 324*d - q. Suppose -24 + 8 = -4*u. Solve -d*m + u = -m for m.
4
Let s = 507 + -504. Let g be 2952/1394 + 4/(-102)*s. Solve -2*x - g*x = 16 for x.
-4
Let x(f) = f**3 + 20*f**2 + 19*f. Suppose -o = 1 + 18. Let d = o - 0. Let u be x(d). Solve u = -6*a + 4*a + 4 for a.
2
Suppose 0 = 4*a - 19*a + 210. Let u be ((-42)/(-5))/(a/(-5) + 3). Let h be 2*(-1)/3 - u/(-9). Solve 2 + 10 = h
|
{
"pile_set_name": "DM Mathematics"
}
|
of a millimeter?
100
What is 108101.5 nanograms in milligrams?
0.1081015
How many tonnes are there in 1.787151 milligrams?
0.000000001787151
How many millimeters are there in 564.91m?
564910
How many litres are there in 890.229 millilitres?
0.890229
How many meters are there in 837683.7mm?
837.6837
How many millimeters are there in fifty-three quarters of a meter?
13250
How many millilitres are there in 3/8 of a litre?
375
How many tonnes are there in 80.82554 nanograms?
0.00000000000008082554
Convert 6223.077ms to hours.
0.0017286325
What is eighty-eight thirds of a year in months?
352
What is 16001.32 nanograms in milligrams?
0.01600132
How many centimeters are there in 11/4 of a meter?
275
Convert 4.956082 milligrams to micrograms.
4956.082
What is seventeen quarters of a kilogram in grams?
4250
How many millimeters are there in 101/4 of a meter?
25250
Convert 9147.25l to millilitres.
9147250
Convert 48272.95 litres to millilitres.
48272950
How many kilograms are there in seven quarters of a tonne?
1750
How many nanoseconds are there in 13/4 of a microsecond?
3250
How many hours are there in 0.6166195 days?
14.798868
What is 1/4 of a litre in millilitres?
250
What is 1825.701 nanometers in millimeters?
0.001825701
How many millilitres are there in 0.3440122l?
344.0122
How many grams are there in 11/4 of a kilogram?
2750
How many millilitres are there in 3/5 of a litre?
600
How many milligrams are there in fifty-one quarters of a gram?
12750
Convert 394.9786ml to litres.
0.3949786
How many seconds are there in 10/3 of a minute?
200
What is 0.9848084mm in centimeters?
0.09848084
What is 512.7089l in millilitres?
512708.9
How many months are there in fifty-nine thirds of a decade?
2360
How many meters are there in 487753.6nm?
0.0004877536
How many meters are there in 707.7939 kilometers?
707793.9
What is 76.56762 litres in millilitres?
76567.62
What is 4347.73km in millimeters?
4347730000
How many millilitres are there in thirty-seven fifths of a litre?
7400
What is thirteen fifths of a millennium in centuries?
26
How many milliseconds are there in 0.7386048 seconds?
738.6048
What is 8/15 of a day in minutes?
768
How many months are there in 1/24 of a decade?
5
What is 65492.96 micrometers in meters?
0.06549296
What is 6.142988s in milliseconds?
6142.988
What is 677.2582t in milligrams?
677258200000
What is 3/8 of a millennium in months?
4500
What is 31/2 of a millennium in decades?
1550
How many milligrams are there in fifty-five quarters of a gram?
13750
How many kilograms are there in thirteen fifths of a tonne?
2600
What is 0.6174009 months in centuries?
0.00051450075
How many millennia are there in 244286.67 months?
20.3572225
How many nanometers are there in thirty-seven halves of a micrometer?
18500
How many nanometers are there in 3/10 of a micrometer?
300
How many nanoseconds are there in 49/5 of a microsecond?
9800
How many nanometers are there in 14.36159cm?
143615900
How many weeks are there in 120025999.8 microseconds?
0.0001984556875
How many millilitres are there in sixty-four fifths of a litre?
12800
What is 0.1142572 weeks in minutes?
1151.712576
How many hours are there in seven sixths of a week?
196
Convert 66.19175ug to tonnes.
0.00000000006619175
What is eleven halves of a litre in millilitres?
5500
Convert 2880.547 millennia to years.
2880547
What is 3/5 of a micrometer in nanometers?
600
How many millilitres are there in thirty-one fifths of a litre?
6200
What is 9426.286m in centimeters?
942628.6
What is 3/8 of a meter in millimeters?
375
How many micrometers are there in 13/4 of a millimeter?
3250
Convert 810.4487l to millilitres.
810448.7
Convert 292.1889 tonnes to nanograms.
292188900000000000
How many litres are there in 2.524029ml?
0.002524029
What is 769.745 litres in millilitres?
769745
How many milliseconds are there in one sixteenth of a minute?
3750
What is 34456.21 centuries in decades?
344562.1
What is 26218.812 months in millennia?
2.184901
How many grams are there in 3/32 of a tonne?
93750
What is one tenth of a meter in micrometers?
100000
How many millilitres are there in 21/5 of a litre?
4200
What is 48/5 of a litre in millilitres?
9600
What is 6/25 of a century in months?
288
What is 25/2 of a meter in centimeters?
1250
What is 76563.7 milliseconds in microseconds?
76563700
Convert 0.6901782 days to minutes.
993.856608
What is 34/5 of a century in years?
680
What is 6/5 of a litre in millilitres?
1200
How many centimeters are there in 7/2 of a meter?
350
How many millilitres are there in 3/8 of a litre?
375
What is 2.189554ml in litres?
0.002189554
How many millimeters are there in three fifths of a centimeter?
6
What is 3/5 of a litre in millilitres?
600
What is 29086.49 litres in millilitres?
29086490
What is seventeen halves of a century in decades?
85
What is 3/40 of a litre in millilitres?
75
What is three eighths of a kilometer in meters?
375
What is 385702.3 millimeters in nanometers?
385702300000
What is 245616.78 months in years?
20468.065
What is sixty-seven fifths of a decade in months?
1608
How many kilograms are there in one tenth of a tonne?
100
What is 0.5460795t in kilograms?
546.0795
What is 14152.97us in nanoseconds?
14152970
Convert 64507.13 micrograms to milligrams.
64.50713
What is 451.8842ml in litres?
0.4518842
How many kilograms are there in 3/8 of a tonne?
375
What is 223.039 tonnes in grams?
223039000
What is 29/2 of a year in months?
174
Convert 73.8661 millilitres to litres.
0.0738661
How many milliseconds are there in 45/2 of a second?
22500
How many seconds are there in 7/6 of a minute?
70
How many millimeters are there in 3.40464 meters?
3404.64
How many kilograms are there in thirteen fifths of a tonne?
2600
How many minutes are there in 52/3 of a day?
24960
How many months are there in three sixteenths of a millennium?
2250
What is 5/6 of a year in months?
10
What is 12652.96 millennia in centuries?
126529.6
What is 4616.927 kilograms in nanograms?
4616927000000000
How many centimeters are there in 0.0647852um?
0.00000647852
What is 511.2569 centuries in millennia?
51.12569
What is 3/10 of a centimeter in millimeters?
3
How many millilitres are there in 41.65008 litres?
41650.08
What is 3/10 of a hour in minutes?
18
Convert 4716.536 centuries to millennia.
471.6536
Convert 1354.729 years to millennia.
1.354729
What is seven halves of a kilogram in grams?
3500
How many milligrams are there in 23/8 of a gram?
2875
What is 0.0026 litres in millilitres?
2.6
How many months are there in fifty-nine fifths of a decade?
1416
What is eight sevenths of a week in minutes?
11520
Convert 9.754241 kilometers to centimeters.
975424.1
How many millilitres are there in 7/8 of a litre?
875
Convert 24570.807 minutes to hours.
409.51345
What is 6/5 of a litre in millilitres?
1200
How many kilometers are there in 29.59603mm?
0.00002959603
What is 45/4 of a microsecond in nanoseconds?
11250
Convert 21.64914 millennia to months.
259789.68
What is thirteen eighths of a microsecond in nanoseconds?
1625
Convert 6.472647 years to millennia.
0.006472647
What is 613186.1 millilitres in litres?
613.1861
How many meters are there in 0.0077477cm?
0.000077477
How many minutes are there in 3.524999 days?
5075.99856
How many micrometers are there in 21/5 of a centimeter?
42000
What is 0.9106024m in micrometers?
910602.4
How many kilograms are there in 1.708975t?
1708.975
Convert 1.953226l to millilitres.
1953.226
What is three fifths of a litre in millilitres?
600
What is eleven quarters of a litre in millilitres?
2750
What is 3/5 of a day in seconds?
51840
How many decades are there in 44.33261 years?
4.433261
Convert 162343.5 litres to millilitres.
162343500
Convert 891108.1um to meters.
0.8911081
What is 29/3 of a minute in seconds?
580
How many milligrams are there in 0.7740513ng?
0.0000007740513
What is 27/5 of a litre in millilitres?
5400
How many nanograms are there in 2.41592 grams?
2415920000
How many minutes are there in three tenths of a hour?
18
What is 45/4 of a microsecond in nanoseconds?
11250
What is 13/5 of a centimeter in micrometers?
26000
What is five quarters of a litre in millilitres?
1250
Convert 374.7151 meters to nanometers.
374715100000
How many minutes are there in 8/3 of
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*x, -4*n + 28 = -4*x. Let p(y) = -u + n + 9 + 11 - 2*y. Give p(10).
-6
Let j(y) = 43 + 9*y - 2815*y**2 + 8*y + y + 2811*y**2. Give j(6).
7
Let d = -995 - -998. Suppose -d*z = 155 - 170. Let o(s) = s**3 - 7*s**2 + 10*s + 3. Calculate o(z).
3
Let p be (244/12 + -19)*(-3)/2. Let d(s) = -23*s - 1. What is d(p)?
45
Let o(x) = 3 - 2*x - 9 - x + 0*x + x**2. Let h(r) = 3*r + 6. Let v be h(-9). Let j = v - -26. Give o(j).
4
Let n(u) = -11*u**2 + 13*u + 3. Let w(i) = 69 + 64 + 4*i - 4*i**2 - 132. Let t(h) = -3*n(h) + 8*w(h). Let s be (30/(-25))/((-1)/5). Calculate t(s).
-7
Let m(p) = 3*p**2 - 269*p + 135*p + 6 + 140*p. Calculate m(-1).
3
Let k(j) be the third derivative of -j**5/60 - 7*j**4/24 - 11*j**3/6 + j**2. Let m be 4 + (54/21)/((-340)/1190). Determine k(m).
-1
Let k(a) = 3*a - 19 - 36 + 28. Let y be k(9). Suppose p = -5*d + 9*d, y = -5*d + p. Let z(w) = -w - 6. Give z(d).
-6
Let q(x) = -6*x + 22 + 5*x + 0*x. Let l be q(-8). Suppose -3*d - l = 3*d. Let n(h) = -h - 6. Calculate n(d).
-1
Let w(l) = -106*l**2 + 209*l**2 - 24 + 11 + 18*l - 102*l**2. Give w(-19).
6
Suppose 376*w + 778 = 410*w + 98. Let z(t) = t**3 - 17*t**2 - 58*t - 33. Give z(w).
7
Let v be (-2)/(-2 + 4)*-1. Suppose -v = 3*o - 13. Let n(z) = -z - 3*z**3 + 6*z**2 + 2 - 2*z**3 + o*z**3. Determine n(6).
-4
Let p(s) = -s**3 + 22*s**2 + 14*s**2 + 14*s**2 - 49*s**2 + 2*s + 1. Let o be 1/(-6) + 114/36. Suppose -2*m - 1 = -5*d, -6*d = o*m - 11*d - 1. Calculate p(m).
1
Let a(x) be the first derivative of -5*x**2 + 8*x - 108. Determine a(6).
-52
Let j(b) be the second derivative of 5*b**3/3 + 16*b**2 - 7*b - 110. Determine j(-4).
-8
Let b(u) = 794*u - 3966. Let q be b(5). Suppose -10 = -2*x - 0*x. Suppose q = -2*f, r + 4 = -r - x*f. Let c(t) = t**2 + 3*t + 3. Give c(r).
21
Let k = 3337 - 3334. Let j be (-42)/(-9) + (-4)/6. Suppose o + k*o + j*s + 12 = 0, 5*o = -s - 27. Let h(z) = -z**2 - 5*z + 1. Determine h(o).
-5
Let t(f) = -26*f. Let v(u) = -188*u - 7. Let i(h) = 21*t(h) - 3*v(h). Give i(-2).
-15
Let c(i) = -18*i + 16. Let p(b) = -7*b + 9. Let z(t) = -2*c(t) + 5*p(t). Let h(o) = -8*o**2. Let m be (-4)/(-22) - (-13)/(-11). Let x be h(m). Determine z(x).
5
Let p(c) = -32*c**3 + 3*c**2 + 2*c. Suppose -5*n - 3*m = -4, -22*m - 13 = 4*n - 25*m. Give p(n).
33
Let c = -6 - -9. Let b(j) be the third derivative of j**6/120 - j**5/15 + j**4/24 + j**3/2 + 17*j**2 + 26*j. Give b(c).
-3
Let k(i) = 7*i - 4. Let s be k(1). Let l(f) = f - 2 + f - 3*f**2 - s + 4*f. Let d(r) = -16*r**2 + 30*r - 26. Let j(p) = 2*d(p) - 11*l(p). Give j(5).
-2
Let o(a) be the third derivative of a**5/60 - a**4/12 - 2*a**3/3 + 2*a**2. Let w be (12/(-16) - (0 + 0))*-44. Suppose 57 - w = 8*s. Give o(s).
-1
Let f(g) be the second derivative of 0 - 42*g + 1/60*g**5 + 1/6*g**4 + 0*g**2 + 1/3*g**3. Let x(o) be the second derivative of f(o). Give x(-6).
-8
Let n(m) = 7*m - 21. Let h(g) = 2*g - 8. Let y(t) = 5*h(t) - n(t). Calculate y(5).
-4
Let z(p) = 6*p**2 - 78*p + 89. Let h(v) = -v**2 + 13*v - 18. Let b(j) = 11*h(j) + 2*z(j). What is b(14)?
-6
Let i(u) = 2*u**2 + 8*u. Let n = -42 - -41. Let j(z) = -z**2 - z + 1. Let x(b) = n*i(b) - 3*j(b). Determine x(6).
3
Suppose 14*x = 98 - 56. Let t(v) = -20019*v**2 + 24*v**3 + 2*v**x - v + 20018*v**2 - 1. Suppose i - 6*i - o = 1, 2*o - 8 = 0. What is t(i)?
-27
Let m(k) = 14*k - 35*k + 5 - 18 + 9*k + 10*k. Give m(-6).
-1
Suppose 2*s = -3*s + 30. Suppose 332*d - 328*d = 48. Suppose 9*g = d*g - s. Let f(p) = -2*p**3 + 2*p**2 + 2. Determine f(g).
-6
Suppose 0 = -j - 5*g - 33 + 43, 13 = 4*j - 7*g. Let h(m) = -m**3 + 2*m**2 - 2*m + 13. Determine h(j).
-72
Let x = 138 - 97. Let o = 42 - x. Let f(s) = 4*s + 9*s - 18*s + 4*s - s**2 + o. Determine f(0).
1
Let q be -9*(14/6 + -4). Suppose 0 = -z - 2*v - 5, -4*z - z - q = 5*v. Let r be (-2 - -2)/(z - 0). Let k(y) = -y**3 - y - 18. What is k(r)?
-18
Let g(m) be the first derivative of 5*m**2/2 - m - 6. Let j be 8 + ((-2)/(-1))/(-1). Calculate g(j).
29
Let l(a) be the first derivative of a**4/4 + 3*a**3 + 9*a**2/2 - 6*a - 1303. Determine l(-5).
49
Suppose -2*k - 14*k = -1008. Let t(u) = -k*u**2 - 5*u - 5 + 5*u**3 + 70*u**2 - 6*u**3. Suppose 3*p - 5 = 3*f + 4, 2*f - 4 = 0. Determine t(p).
20
Let y(b) = 40*b + 401. Let s(n) = -8*n - 79. Let c(h) = 11*s(h) + 2*y(h). Give c(-8).
-3
Let q(n) = -2*n**3 + 4*n - 3. Let u be 3/54*-142 - 4/36. Let l be (u/6)/((-40)/60). What is q(l)?
-11
Let a(g) be the second derivative of -g**4/12 - g**3/2 - 11*g**2/2 - 52*g - 15. What is a(6)?
-65
Let c(r) = 6*r**2 + 9*r - 3. Let k(x) = x**2 + x. Let w(a) = c(a) - 5*k(a). Suppose 129 = 11*l - 133 + 240. Calculate w(l).
9
Let r(o) = 6*o - 5. Let j(p) = -p**2 + 30*p + 174. Let s be j(35). Determine r(s).
-11
Let k(y) = 17*y - 139. Let w be k(8). Let b be w*(95/(-15) + 6). Let c(p) = 7*p**3 - p**2 + p. Calculate c(b).
7
Let y = -36 - -38. Suppose -y = -n - 0. Let x be 1 + (n + 4)/(-3). Let r(h) = -4*h**3 - 2*h**2 + 1. Calculate r(x).
3
Let q(c) = -232*c - 35 - 246*c - 251*c + 728*c. Determine q(-25).
-10
Let r be 7 + 1 + -2 - 4. Let c(d) = 2*d - 5*d + r + d**2 + 6*d. Let f(l) = l - 5. Let x be f(3). Give c(x).
0
Let j = -586 + 588. Let n(t) = 6*t + 5*t - 5*t - 7*t - 11 + j*t. Suppose 2*p + 0*p = 12. What is n(p)?
-5
Suppose 3*l + 27 = 3*h, -3*h = -8*l + 10*l - 7. Let y(r) = -h + 4*r + 0 + 1 + 2 - 1. Determine y(4).
13
Let h(w) = 8*w + 13. Let j be -27*(21/(-9) + 2). Let o(a) = 0 + 3 + j - 2*a + 9*a. Let q(n) = 4*h(n) - 5*o(n). What is q(-6)?
10
Suppose -16 = 3*o + o. Let s(j) = 2*j**2 + 6*j**2 - 592 + 4*j - 19*j**2 + 12*j**2 + 589. What is s(o)?
-3
Let b(p) = p**3 + p**2 - 2*p. Let n be b(-2). Let k(o) = 2*o + n + 2 - o. Let c = -175158 + 175151. Calculate k(c).
-5
Let k = 4309 + -4311. Let q(g) = -2*g**3 - 2*g**2 - 3*g - 1. Determine q(k).
13
Suppose -2*f - 8*a + 8 = -6*a, 0 = -f - 5*a. Let q(w) be the third derivative of 0*w - w**3 + 0 - 2*w**2 + 1/12*w**4. Determine q(f).
4
Let x(i) = -11 + 3 + 3 + 4. Let h(g) = -g - 1. Let l(r) = h(r) + 6*x(r). What is l(0)?
-7
Suppose 3*a + 50 + 43 = 0. Let q = 24 + a. Let k(p) = 3*p - 4*p - 4 + 0. Calculate k(q).
3
Let i(b) = 2*b - 12. Let z be 12 - (11 + -12 + 9). What is i(z)?
-4
Let p(u) = u**3 + 8*u**2 - 32*u + 16. Let s = 2027 + -2038. Determine p(s).
5
Let u(g) = -7*g + 29. Let w(n) = -4 + 12 + 13*n - 65. Let t(a) = -11*u(a) - 6*w(a). Let x = 154602 + -154602. What is t(x)?
23
Let q(u) be the third derivative of 13*u**4/12 - 19*u**3/6 + 20*u**2 - 10*u. What is q(1)?
7
Suppose -24 = 13*o - 102. Let l(y) = -o*y**2 - 71*y + y**3 - 63*y + 138*y - 2. Calculate l(2).
-10
Let g(q) = 237*q**2 - 55*q - 111*q**2 - 12 - 120*q**2 - 13*q**2. Give g(-8).
-20
Let s(q) be the first derivative of 3*q**2/2 - 26*q - 5769. What is s(16)?
22
Let j(x) be the second derivative of -5/4*x**4 + 0 - 73*x + 1/6*x**3 + 1/20*x**5 - 4*x**2. Give j(15).
7
Suppose 5*t - 4*u - 30 = 1, 5*t + u = 36. Let y be 2/(-3)*(t - 10). Let m(a) = a - 3. Determine m(y).
-1
Let i = 880 - 810. Let q(w) = -71*w + i*w - 45 + 49. Give q(-3).
7
Let l(u) = -105*u + 753. Let n(y) = -15*y + 108. Let s(m) = 4*l(m) - 27*n(m). Calculate s(6).
6
Let m(q) = q**3 + 4*q**2 - 7*q - 1. Let b be 459/561 - (4/(-22) + 0). Let l be (b*-1)/(16/80). Calculate m(l).
9
Let b(l) = -3*l - 7. Suppose -14*t = 2*w - 12*t + 48, -4*w = t + 111. Let v = 22 + w. What is b(v)?
14
Suppose 18*y - 13*y = 5*o - 30, -5*y = 4*o - 15. Let z(m) = -2*m**2 + 12*m + 14. Let f(t) = -3*t**2 + t + 1. Let g(q) = y*z(q) + f(q). Calculate g(-9).
5
Let u(b) be the first derivative of -b**3/3 - 5*b**2/2 + 8*b - 95. Let r = 727 - 725. Give u(r).
-6
Suppose 2*m = -221 + 219. Let k(i) = -i**2 + 2*i + 3. Let d(x) = -8*x**2 + 14*x + 13. Let t(o) = m*d(o) + 5*k(o). Calculate t(2).
6
Let z(u) = -u**3 + u**2 + 1. Let p(n) be the first derivative of -3*n**4/4 + n**3/3 - n**2/2 + n - 42. Let d(i) = -p(i) + 4*z(i). Calculate d(4).
-9
Let f(p) = p**2 - 2*p - 6. Suppose 97 = -4*d + 4*t + 557, 4*d - 465 = 3*t. Let j be 8/5 + -2 + (-432)/d. Give f(j).
18
Let s(p) = 18*p - 5*p - 12*p - 493*p**2 - 33 + 985*p**2 - 497*p**2 + p**3. Determine s(6).
9
Let h(j) = -6*j**2 - 11*j**3 + 6*j**3 + 7*j + 2*j**3 - 4*j**2 + 4*j**3 + 13. Suppose -f + 3*i - i - 1 = 0, 4*f - 3*i - 21 = 0. Determine h(f).
-5
Let s(z) be the second derivative of z**3/3 + 3*z**2/2 - 2*z
|
{
"pile_set_name": "DM Mathematics"
}
|
29.6
25250 * -1131
-28557750
0.4*4473259
1789303.6
-0.11160328*13
-1.45084264
Multiply -15340140 and 3.
-46020420
What is -6 times 62420083?
-374520498
What is the product of -5 and 52483.73?
-262418.65
What is 6046292 times 0.13?
786017.96
Calculate 6*-393140.
-2358840
What is 0.18 times 22137279?
3984710.22
What is the product of -0.018 and 245101?
-4411.818
-23 * 20770.44
-477720.12
What is -382316 times 808?
-308911328
Product of 0.033358 and 20.99.
0.70018442
Product of 9186955 and -0.1.
-918695.5
Calculate 0.2*-14413620.
-2882724
5*0.82889
4.14445
-0.4826 times 52
-25.0952
-5010280 times -0.06
300616.8
What is the product of 0.0879 and 2431?
213.6849
Multiply -13870 and 151.
-2094370
16.0191*-2.03
-32.518773
0.2 times -60926572
-12185314.4
-31352 times -33.47
1049351.44
-14.6*-71.3326
1041.45596
What is the product of 4182.3174 and 6?
25093.9044
600 * 0.0372227
22.33362
1091*12090
13190190
0.4 * -154982158
-61992863.2
Product of 62541 and 793.
49595013
Product of -3951432.4 and -0.4.
1580572.96
Multiply -2890997 and -2.
5781994
-1530.6 times -0.0151
23.11206
Calculate -0.1*-19575479.
1957547.9
671 * 0.062827
42.156917
Calculate -12.2*-711.9.
8685.18
Work out -376028 * 0.325.
-122209.1
What is the product of 41.25394 and -0.1?
-4.125394
Multiply -1.5211 and 4.304.
-6.5468144
-10990 * -9.59
105394.1
-77522705 * 2
-155045410
-0.01499707 * 0.06
-0.0008998242
-25 * -291530
7288250
240105.46 times 7
1680738.22
Product of -0.4 and 2767067.
-1106826.8
What is 0.5 times -4165305?
-2082652.5
Multiply 868419.7 and 0.5.
434209.85
Multiply -55 and 7.86431.
-432.53705
-2.1840166 * -12
26.2081992
Calculate -1791.2*574.
-1028148.8
What is 17 times 3.16097?
53.73649
2 * 449362
898724
Work out -2 * -17016.473.
34032.946
Calculate 0.5*11.498.
5.749
1.03843312 times 6
6.23059872
-77 times 1389.064
-106957.928
What is the product of -0.05 and 1334930?
-66746.5
-127*0.4033
-51.2191
Work out 16736 * 11.22.
187777.92
72278861*-1
-72278861
Multiply 10.8 and -0.0762223.
-0.82320084
-4 times -262.4734
1049.8936
Product of -6 and 1007624.
-6045744
What is -3780985 times -4?
15123940
-2.1 times 20478
-43003.8
Calculate 64280*-70.3.
-4518884
Multiply -0.3 and 359371.79.
-107811.537
What is the product of -0.5 and -0.3084222?
0.1542111
70.588*-156
-11011.728
-60.12 * 118
-7094.16
Calculate -76281*528.
-40276368
What is the product of -2652 and -9822?
26047944
-20.362 * 8
-162.896
Multiply 745 and 281112.
209428440
-284.6 times -13.09
3725.414
Calculate -0.068*-16.3975.
1.11503
Work out -9.224 * 26254.
-242166.896
Calculate 99701*-13.81.
-1376870.81
Product of -52 and 1.3396.
-69.6592
-509*-419.08
213311.72
Product of -1392.1268 and 12.
-16705.5216
Product of -1220 and 7307.
-8914540
Work out -5 * -1389926.
6949630
-6 times 0.3918245
-2.350947
What is the product of 112572 and 10?
1125720
Multiply -3 and -425351.
1276053
0.0612352 * -59
-3.6128768
Product of -18.11 and 18.3344.
-332.035984
-1002023 times 24.4
-24449361.2
What is the product of 5780 and -0.032802?
-189.59556
Work out 0.813 * 6.1024.
4.9612512
-6 times 987643.78
-5925862.68
Work out -44 * -7.032899.
309.447556
-992471 times -1.6
1587953.6
Multiply -9.9 and -79798.3.
790003.17
14259.868 * -0.01
-142.59868
Product of 1259 and 1580.
1989220
3 * -864497
-2593491
Product of 9686 and -35611.
-344928146
Work out -170 * 4.0677.
-691.509
2 * -166113.167
-332226.334
Multiply 221 and 6.81757.
1506.68297
What is the product of -0.94042 and -57?
53.60394
What is the product of 0.5 and 11506505?
5753252.5
-0.0188*-0.128495
0.002415706
-1360871 * 72.2
-98254886.2
-134 times 257927
-34562218
Work out 51218517 * 8.
409748136
-0.1555 * -5.957
0.9263135
125.6 * -59798
-7510628.8
What is the product of -0.04992 and -0.1?
0.004992
Multiply 24957.8022 and -0.1.
-2495.78022
Work out -269.20827 * 23.
-6191.79021
Calculate -0.11*-22666.219.
2493.28409
Calculate -3*-1121.98132.
3365.94396
Multiply -0.03234 and -26.82.
0.8673588
Product of -103063 and 2.3.
-237044.9
What is the product of 0.1 and 78579.972?
7857.9972
What is 0.112304771 times 0.4?
0.0449219084
Work out 159.9 * 29.3643.
4695.35157
Calculate 133332493.7*0.2.
26666498.74
13897.7 * 0.052
722.6804
What is the product of -138540364 and 0.01?
-1385403.64
Product of -4 and -3529.723.
14118.892
What is -0.1 times 1973.16912?
-197.316912
Work out 86.6673 * 0.2.
17.33346
Calculate -169368*118.9.
-20137855.2
-49931 times -23
1148413
-0.066 times 0.18246
-0.01204236
Multiply 1.34 and -0.53549.
-0.7175566
What is -0.023004673 times -0.2?
0.0046009346
Product of -1269 and 90.94.
-115402.86
What is the product of 0.7 and -8109.28?
-5676.496
Work out -3197720 * 5.
-15988600
0.080093599 times -0.1
-0.0080093599
-25264161 times -0.25
6316040.25
Work out 7 * -1.46804.
-10.27628
131.4 times 0.5234
68.77476
What is 0.1448 times -3645?
-527.796
178853 * 0.0721
12895.3013
What is 502.6013 times -10?
-5026.013
283544.1 * -5
-1417720.5
What is -1447.16 times 0.6?
-868.296
What is -24.8897 times -90?
2240.073
Multiply -5.589 and -63.44.
354.56616
Product of 1941039 and -341.
-661894299
Calculate 11397.2*2097.
23899928.4
Product of 3256.3 and -23.1.
-75220.53
Product of 193605179 and -4.
-774420716
-91*-228197
20765927
24.28 times 0.02
0.4856
Work out -41.9 * -0.328.
13.7432
Multiply -8050.5295 and 5.
-40252.6475
What is the product of 4 and -7812221?
-31248884
-2865 times 77.2
-221178
Product of 0.03 and -3583.978.
-107.51934
Work out 0.0221 * -589347.
-13024.5687
What is the product of 36223 and 256.71?
9298806.33
What is -1470 times 0.0976?
-143.472
Multiply -0.4 and -2922959.
1169183.6
Calculate 1044239.6*-3.
-3132718.8
Work out -99366 * -29.
2881614
Work out 0.06 * -35.16856.
-2.1101136
-9715471*3.2
-31089507.2
-5 times 163.955279
-819.776395
Multiply -1149972 and -127.
146046444
What is -0.10504 times 0.01134?
-0.0011911536
Multiply -823.365 and 44.5.
-36639.7425
What is the product of -11 and -2.068372?
22.752092
Calculate 5*563.5555.
2817.7775
What is the product of 0.2 and 24.82606?
4.965212
What is 30611 times 70?
2142770
What is 103.82 times 2336?
242523.52
Multiply 156 and -888641.
-138627996
0.6 * -190.85156
-114.510936
Product of 4994891.9 and -11.
-54943810.9
0.01*4500.599
45.00599
Multiply 0.4 and 10841430.
4336572
Multiply 259 and -967671.
-250626789
-6623*-912
6040176
What is the product of 0 and 13719719?
0
What is the product of -33.36 and -0.2636?
8.793696
Work out 3.184 * -4972.
-15830.848
Multiply 1116116 and 17.4.
19420418.4
Calculate -434824*78.
-33916272
3176863.8 times -2
-6353727.6
1.227 times 10.534
12.925218
Work out 0.0295 * -44772.
-1320.774
Multiply -0.3 and 31394730.
-9418419
Product of 25470 and -40.
-1018800
Multiply -1.6 and 96199.
-153918.4
Work out -1172.3 * 0.0724.
-84.87452
Calculate 3.569*22.95.
81.90855
What is the product of -226091 and -0.248?
56070.568
What is -5 times -56619.856?
283099.28
-2.49 times 25654
-63878.46
-0.004 * -0.015
0.00006
What is the product of 2.2 and 77931?
171448.2
3.0399 * -2196
-6675.6204
Work out -1.7 * -0.93004.
1.581068
0.2 times 149050757
29810151.4
-0.2 times -22133394
4426678.8
Calculate -3*-4084340.
12253020
What is 870292 times 37?
32200804
What is -0.2 times 4478478?
-895695.6
-10387.877 times -0.29
3012.48433
Work out 3 * 490924.
1472772
-22.711*-955
21689.005
What is the product of 10.7 and 27058?
289520.6
Work out 0 * -12495335.
0
Product of -1 and 0.6461344.
-0.6461344
Work out 94.7 * -0.7.
-66.29
-0.2 times 1211428.8
-242285.76
-0.15472276 times 3
-0.46416828
Product of 6 and -9643369.7.
-57860218.2
-0.6 times 1209.54277
-725.725662
3038 * -674
-2047612
Product of 1305.965 and -0.29.
-378.72985
0.509 times -0.57739
-0.29389151
Product of -15.8 and 37501.
-592515.8
What is -0.0453866 times 0.31?
-0.014069846
Work out 20790571 * -0.2.
-4158114.2
Product of -0.74 and 5481536.
-4056336.64
What is -0.2 times -6115.1693?
1223.03386
What is the product of -5.2 and -21826?
113495.2
0 * -2070.556
0
Product of 1.4305 and -5784.
-8274.012
Work out 21975 * 1.4.
30765
-33113*121
-4006673
What is the product of 11413.2 and -7.28?
-83088.096
Work out 7 * 1013623.
7095361
Product of 5372657 and 0.4.
2149062.8
Calculate 679*684.
464436
Product of 0.3619 and 95.2.
34.45288
Multiply 181968 and -0.2.
-36393.6
Product of -6
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let h be x(6). Suppose -3*l - 2*l = -h*z + 17, 3*l = -3*z + 36. List the prime factors of z.
11
Suppose -4*u + 24 = -12. Suppose 2*w - 5*r = 21, 3*w = 3*r + u + 18. What are the prime factors of w?
2
Suppose 0 = 3*s - 15, 0 = 5*d - 0*d - s - 50. List the prime factors of d.
11
Suppose -3 = l + 13. What are the prime factors of -13 - l - -7*1?
2, 5
Suppose -4*a + 384 = 16. List the prime factors of a.
2, 23
Let q be 150/70 + 1/(-7). Suppose -q*r + 4 + 12 = 0. Let u(b) = -b**2 + 8*b + 3. List the prime factors of u(r).
3
Suppose 0 = -4*a + 2*y - 6*y + 48, -2*y = 8. Suppose -5*i + 2 = 5*u - 18, u = -4*i + a. List the prime factors of i.
2
Suppose -5*l + 26 = -104. List the prime factors of l.
2, 13
Suppose 0 = -5*q + 4*t + 1401, 2*q + 1397 = 7*q - 3*t. List the prime factors of q.
277
Suppose j - x + 2 = 0, 7*x - 2*x = j - 10. List the prime factors of 2/(-4)*-4 - j.
7
Suppose -101 - 319 = -7*r. List the prime factors of r.
2, 3, 5
Let d(q) = q**2 - 16*q - 20. List the prime factors of d(21).
5, 17
Let c(q) = -q**3 - 6*q**2 - 4*q - 6. Let x be c(-5). Suppose -4 + 2 = -h, 5*u - 117 = -h. Let g = x + u. What are the prime factors of g?
2, 3
Let f(r) = r**2 - 5*r - 2. Let p be f(4). Let t(q) = -4*q + 4. What are the prime factors of t(p)?
2, 7
Suppose 66 + 34 = 5*k. What are the prime factors of k?
2, 5
Suppose z + 11 = -16. Let c = z - -42. What are the prime factors of c?
3, 5
Let g = 11 - 10. Suppose 14 = k + l, -g = -3*l + 2. What are the prime factors of k?
13
Let l(y) = -y**2 + y + 1. Let x(o) = 3*o**2 + 3*o - 5. Let z(m) = 4*l(m) + x(m). Let p be z(5). Suppose -3*k + p = -3. List the prime factors of k.
2
Suppose 6*u - 9 = 3*u. Suppose -105 = -5*m - 4*t, 2*t = 4*m + u - 61. List the prime factors of m.
17
Suppose -2*f = 2*f + 5*r - 23, 5*r - 21 = -3*f. What are the prime factors of 3 - (-1*21 + f)?
2, 11
Let g(d) = 13*d - 3. Let s be g(2). Suppose 0*c - 44 = 4*c. Let u = s + c. List the prime factors of u.
2, 3
Let n(p) = -p - 5. List the prime factors of n(-12).
7
Let d(r) = r**2 + 7. Let j be d(0). Let g = j + -3. Suppose 2*x + 31 = 6*x - 3*s, 2*x + g*s = -12. List the prime factors of x.
2
Let d(c) = c**3 - 2*c**2 + 2*c - 1. Let z be d(5). List the prime factors of (z/(-15))/((-2)/10).
2, 7
Suppose -5*z + 84 = -t, -2*z - 2*z - 3*t = -71. What are the prime factors of z?
17
Let y(n) = n**3 + 7*n**2 + 5*n + 2. List the prime factors of y(-6).
2
Suppose 4*d - 2*b - 17 = -b, 5*d - b = 20. Suppose -3*a = 4*y - 36, -2*y - y + 27 = -d*a. What are the prime factors of y?
3
Suppose -2*r + 0*l + 4*l = -12, r - 5*l = 9. Suppose 5 = 3*k - r. Suppose -4*t = 3*n - 30 - k, -n - t + 10 = 0. List the prime factors of n.
7
Let g = -92 + 155. List the prime factors of g.
3, 7
Suppose -245 + 30 = -5*y + 5*p, -p = -5*y + 231. What are the prime factors of y?
47
Let j(r) be the second derivative of -r**5/20 - 5*r**4/12 + r**3 + 9*r**2/2 + 2*r. List the prime factors of j(-6).
3
Suppose -3*r + r - 2 = 0, -4*s + 4*r + 188 = 0. Let t = -29 + s. List the prime factors of t.
17
Let m(i) = i**3 + 4*i**2 - 6*i + 3. Let s(z) = -5*z**2 - 2*z + 2. Let x be s(1). What are the prime factors of m(x)?
2
Let n(l) = 3*l + 5. Let d be n(9). Let a = d - -7. What are the prime factors of a?
3, 13
Suppose -74 = -f - r, -62 = 2*f - 3*f - 5*r. List the prime factors of f.
7, 11
Let n be 3/3 + -3 + 143. Let m be n/(-27) + (-6)/(-27). List the prime factors of -10*(16/m + 2).
2, 3
Let s(y) = -y**3 + 11*y**2 + 18*y - 12. What are the prime factors of s(12)?
2, 3, 5
Let l(u) = 4*u**2 + 8*u - 1. List the prime factors of l(-4).
31
Let w = 7 + -3. Suppose 0 = -w*b + 2*b. Suppose -5*a + 4*m + 30 = b, 7*a + 2*m = 2*a. List the prime factors of a.
2
Let d(c) = -9*c - 12. List the prime factors of d(-4).
2, 3
Suppose -2*g + 16 = -5*a, -4*g + g - 2*a + 5 = 0. Suppose -g*l + 19 = -i - 24, -5 = 5*i. What are the prime factors of l?
2, 7
What are the prime factors of (-25)/10*(-2 - 16)?
3, 5
Suppose 4*p + 15 = 5*l - 0, 0 = -4*p - l + 3. List the prime factors of 7 - (-4)/12*p.
7
Let d be 0/(-1 - 2) + -23. Let h = 0 + d. Let o = -15 - h. List the prime factors of o.
2
Let t be ((-12)/2)/3 - -34. Suppose 0*s - t = -2*s. What are the prime factors of s?
2
Let h(n) = -n**2 - n + 28. What are the prime factors of h(0)?
2, 7
Suppose 0*b = -b. Let o = b - -2. What are the prime factors of (-3)/(2/(-4)*o)?
3
Suppose 0 = -q - 3*n + 45, 0*n - 2*n = -3*q + 102. Suppose -b = -4*b + q. Suppose b = 5*i - 68. What are the prime factors of i?
2
Let m(o) = 4*o**2 + 1. List the prime factors of m(-3).
37
List the prime factors of 3*2/(12/122).
61
Suppose -5*c + 31 - 1 = 0. Let f(x) = -x**3 + 8*x**2 - 6*x - 7. Let a be f(c). Suppose -4*o - 2 + a = p, -5*p = -o + 33. List the prime factors of o.
2
List the prime factors of 1/2 - 5/(-2).
3
Let m = -69 + 237. What are the prime factors of m?
2, 3, 7
Let p = 8 - 3. Let z(c) = 2*c**2 - 8*c + 3. List the prime factors of z(p).
13
Let p(y) = -6*y - 2. Let w be p(-5). Suppose 4*g + 4*m - w = 0, -2*g = -5*g + 3*m + 15. What are the prime factors of g?
2, 3
Let c = 18 + -8. List the prime factors of c.
2, 5
Suppose -t - 2 = 0, 4*d + 0*t + 4*t = -20. Let l = 4 - d. What are the prime factors of l?
7
Suppose -222 = 3*n + 3*i, -4*n - 229 = -n - 4*i. Let t = n + 120. Suppose -6*v = -v - t. What are the prime factors of v?
3
Let z be 2/(-5) - 43/5. What are the prime factors of (7 - 3)/((-2)/z)?
2, 3
Suppose 2*d = -10, 4*p - p = -4*d - 14. Suppose 72 - 24 = p*s. What are the prime factors of s?
2, 3
Suppose -5*d + 5*j = -1055, 2*d - 4*j + 212 = 642. What are the prime factors of d?
3, 23
Suppose 2*v - 4*m = -0*v - 4, 6 = -2*v + 5*m. Suppose -2*g - 1 + 2 = 3*b, g + b = v. Let k(r) = -r**2 + 7*r - 5. List the prime factors of k(g).
5
Suppose 5*l + d = 330, -d - 206 = -2*l - l. List the prime factors of l.
67
Let q = 8 + -8. Suppose 0 = -2*l - 5*b + 43 - q, -5*l = 3*b - 117. What are the prime factors of l?
2, 3
Let m(p) = p. Let b be m(-3). Let l be (1 - (-21)/(-9))*b. Suppose 0*d = 4*u + 2*d - 32, l*d - 34 = -5*u. What are the prime factors of u?
2, 5
Let o(t) = -1. Let p(k) = k**2 - 6*k - 6. Let g(f) = 5*o(f) - p(f). Suppose -6 = -4*h - 2*u, 4*u = -5*h + 4*h - 9. List the prime factors of g(h).
2, 5
Suppose 2*r + 0*g + 4*g - 42 = 0, 5*g = 3*r - 19. What are the prime factors of r?
13
Let q = -22 + 32. Suppose -2*w + q = -w - 3*x, -3*w + x = -38. What are the prime factors of w?
13
Suppose -244 = -5*f - 79. What are the prime factors of f?
3, 11
Suppose -5*k + 13 = -2. Suppose k*w = -0*w. Suppose w = 4*p - 3*p - 12. List the prime factors of p.
2, 3
Let j be ((-12)/8)/(6/(-8)). Suppose -35 = -j*i - 9. What are the prime factors of i?
13
Let v(u) = -u**3 - 8*u**2 - 2*u + 8. Let l be v(-8). Let z = l + -12. What are the prime factors of z?
2, 3
Let j(y) = 2*y - 10*y + 11 - 7*y**2 + 8*y**2. List the prime factors of j(9).
2, 5
Let u(b) = -5*b - 1. Let t be u(1). Let s = t + 10. Let c = s - 2. What are the prime factors of c?
2
What are the prime factors of 36/90 + (-326)/(-10)?
3, 11
Let g = 8 + -4. Suppose 5*x + 3*t - 5*t = 239, -g*t = -4*x + 184. Suppose 0 = -k - 5*b + 41, 2*k + 2*k - 3*b = x. List the prime factors of k.
2
What are the prime factors of (-54)/(-4) + (-24)/16?
2, 3
Let k be (-3)/(-6)*14 + -3. Let v be (-27)/6*k/6. List the prime factors of v/(18/(-22))*3.
11
Let l = -3 - -7. Suppose l*d - 2*d = 44. What are the prime factors of d?
2, 11
Let d(h) = -7*h - 10. List the prime factors of d(-21).
137
Let s = 4 + -1. Suppose -5*r = -5, 0*q = q - s*r - 15. What are the prime factors of q?
2, 3
Let s(p) = -p**2 + 7*p + 3. Let y be s(-8). What are the prime factors of ((-2)/(-6))/((-13)/y)?
3
Let v = 130 - 127. What are the prime factors of v?
3
Let u be 1/(-6) - 1/(-6). Suppose -a + 4 + u = 0. What are the prime factors of a?
2
Let i(l) = l**3 - l**2 - l. Let o be i(2). Suppose -5 = v, -o*v = -u - 0*u + 13. What are the prime factors of u?
3
Let i(r) = -r**3 - 5*r**2 - 4*r - 4. Let n be i(-4). Let u = 1 - n. Suppose 0*k = -u*k + c + 37, k + 2*c = 3. List the prime factors of k.
7
Let u(a) be the second derivative of 3*a**4/4 + a**2/2 + 6*a. What are the prime factors of u(2)?
37
Let w(q) = q**3 + 8*q**2 + 6*q - 2. Suppose 1 = 3*u + 19. What are the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
inutes are there between 7:40 PM and 1:11 AM?
331
How many minutes are there between 9:19 AM and 11:26 AM?
127
What is 320 minutes before 11:43 AM?
6:23 AM
What is 59 minutes before 2:29 AM?
1:30 AM
What is 480 minutes after 4:44 AM?
12:44 PM
How many minutes are there between 5:48 PM and 6:28 PM?
40
How many minutes are there between 8:27 AM and 8:17 PM?
710
How many minutes are there between 12:42 PM and 4:38 PM?
236
How many minutes are there between 1:18 PM and 12:18 AM?
660
What is 690 minutes before 7:42 AM?
8:12 PM
How many minutes are there between 2:25 PM and 4:41 PM?
136
How many minutes are there between 11:25 PM and 6:34 AM?
429
What is 145 minutes before 3:52 PM?
1:27 PM
What is 101 minutes before 1:58 PM?
12:17 PM
What is 690 minutes before 6:12 AM?
6:42 PM
What is 39 minutes after 5:51 AM?
6:30 AM
What is 254 minutes after 4:30 AM?
8:44 AM
How many minutes are there between 12:19 PM and 12:21 PM?
2
What is 467 minutes after 5:11 AM?
12:58 PM
What is 607 minutes before 4:08 AM?
6:01 PM
How many minutes are there between 2:40 PM and 6:38 PM?
238
What is 202 minutes after 3:35 PM?
6:57 PM
What is 559 minutes after 12:56 AM?
10:15 AM
How many minutes are there between 5:41 AM and 11:09 AM?
328
What is 655 minutes after 10:29 AM?
9:24 PM
How many minutes are there between 8:35 PM and 6:13 AM?
578
What is 6 minutes before 11:48 AM?
11:42 AM
What is 719 minutes after 11:06 PM?
11:05 AM
What is 175 minutes after 9:17 AM?
12:12 PM
What is 480 minutes before 4:41 PM?
8:41 AM
How many minutes are there between 12:09 PM and 3:31 PM?
202
What is 414 minutes after 11:16 AM?
6:10 PM
What is 391 minutes before 2:14 PM?
7:43 AM
How many minutes are there between 3:56 PM and 9:17 PM?
321
How many minutes are there between 6:40 PM and 11:36 PM?
296
How many minutes are there between 12:45 AM and 1:12 AM?
27
How many minutes are there between 3:11 AM and 8:48 AM?
337
What is 204 minutes before 4:33 AM?
1:09 AM
How many minutes are there between 8:41 AM and 10:53 AM?
132
How many minutes are there between 9:47 AM and 9:51 AM?
4
How many minutes are there between 5:01 PM and 7:20 PM?
139
How many minutes are there between 10:14 AM and 1:06 PM?
172
How many minutes are there between 3:25 PM and 2:30 AM?
665
What is 641 minutes before 7:44 PM?
9:03 AM
What is 443 minutes after 5:40 PM?
1:03 AM
What is 181 minutes before 3:01 PM?
12:00 PM
What is 309 minutes before 6:58 PM?
1:49 PM
What is 699 minutes after 11:03 PM?
10:42 AM
What is 4 minutes after 10:19 PM?
10:23 PM
How many minutes are there between 9:53 PM and 2:46 AM?
293
What is 320 minutes before 3:03 PM?
9:43 AM
How many minutes are there between 5:57 AM and 8:25 AM?
148
How many minutes are there between 3:07 PM and 1:41 AM?
634
What is 59 minutes before 3:27 AM?
2:28 AM
How many minutes are there between 1:42 AM and 2:38 AM?
56
What is 54 minutes after 6:30 PM?
7:24 PM
How many minutes are there between 6:45 PM and 5:40 AM?
655
How many minutes are there between 1:21 AM and 2:38 AM?
77
How many minutes are there between 11:13 PM and 10:53 AM?
700
How many minutes are there between 7:17 PM and 10:22 PM?
185
How many minutes are there between 7:30 AM and 6:32 PM?
662
What is 587 minutes before 11:17 AM?
1:30 AM
How many minutes are there between 9:16 PM and 1:19 AM?
243
What is 156 minutes before 12:54 AM?
10:18 PM
What is 76 minutes before 2:22 AM?
1:06 AM
What is 414 minutes after 1:46 PM?
8:40 PM
How many minutes are there between 6:06 AM and 1:31 PM?
445
What is 53 minutes before 3:27 AM?
2:34 AM
What is 677 minutes after 10:35 PM?
9:52 AM
What is 591 minutes after 9:15 AM?
7:06 PM
How many minutes are there between 5:04 PM and 1:50 AM?
526
What is 41 minutes before 1:06 PM?
12:25 PM
What is 207 minutes after 2:40 PM?
6:07 PM
What is 708 minutes before 6:03 PM?
6:15 AM
What is 507 minutes before 9:18 PM?
12:51 PM
How many minutes are there between 8:22 AM and 4:30 PM?
488
How many minutes are there between 12:56 PM and 7:30 PM?
394
What is 692 minutes after 9:16 PM?
8:48 AM
What is 184 minutes before 4:26 PM?
1:22 PM
What is 419 minutes before 8:42 PM?
1:43 PM
How many minutes are there between 12:01 AM and 2:47 AM?
166
How many minutes are there between 12:55 PM and 6:20 PM?
325
What is 374 minutes after 2:27 AM?
8:41 AM
What is 186 minutes after 3:38 AM?
6:44 AM
What is 419 minutes after 1:57 AM?
8:56 AM
How many minutes are there between 3:12 PM and 5:36 PM?
144
How many minutes are there between 1:30 PM and 11:16 PM?
586
How many minutes are there between 4:35 PM and 9:28 PM?
293
What is 678 minutes after 6:29 AM?
5:47 PM
What is 310 minutes after 2:22 PM?
7:32 PM
How many minutes are there between 11:07 AM and 7:57 PM?
530
How many minutes are there between 2:34 AM and 6:03 AM?
209
How many minutes are there between 10:49 PM and 10:08 AM?
679
How many minutes are there between 4:37 PM and 2:34 AM?
597
What is 670 minutes before 8:08 PM?
8:58 AM
How many minutes are there between 5:39 AM and 7:46 AM?
127
How many minutes are there between 5:47 PM and 12:32 AM?
405
What is 126 minutes before 5:45 PM?
3:39 PM
What is 410 minutes before 12:22 AM?
5:32 PM
How many minutes are there between 5:51 PM and 1:38 AM?
467
How many minutes are there between 9:39 AM and 12:24 PM?
165
How many minutes are there between 11:27 AM and 9:57 PM?
630
What is 92 minutes before 2:10 AM?
12:38 AM
How many minutes are there between 8:45 AM and 12:02 PM?
197
How many minutes are there between 6:34 AM and 2:45 PM?
491
How many minutes are there between 2:29 AM and 4:37 AM?
128
How many minutes are there between 12:02 AM and 9:18 AM?
556
What is 194 minutes before 1:47 PM?
10:33 AM
How many minutes are there between 8:34 PM and 7:01 AM?
627
How many minutes are there between 5:14 PM and 10:27 PM?
313
How many minutes are there between 9:21 AM and 11:53 AM?
152
How many minutes are there between 11:59 PM and 2:07 AM?
128
What is 699 minutes before 4:55 PM?
5:16 AM
What is 491 minutes after 5:57 PM?
2:08 AM
What is 235 minutes after 8:34 PM?
12:29 AM
How many minutes are there between 7:35 PM and 8:34 PM?
59
What is 110 minutes before 4:37 AM?
2:47 AM
How many minutes are there between 2:30 AM and 3:30 AM?
60
How many minutes are there between 7:41 PM and 10:34 PM?
173
What is 69 minutes after 5:35 PM?
6:44 PM
How many minutes are there between 5:10 PM and 1:33 AM?
503
How many minutes are there between 7:15 AM and 11:52 AM?
277
What is 217 minutes before 2:37 PM?
11:00 AM
How many minutes are there between 11:01 PM and 4:04 AM?
303
How many minutes are there between 6:26 AM and 12:20 PM?
354
How many minutes are there between 5:09 PM and 7:24 PM?
135
What is 194 minutes after 8:33 AM?
11:47 AM
How many minutes are there between 12:50 PM and 12:37 AM?
707
How many minutes are there between 9:51 AM and 10:32 AM?
41
What is 283 minutes before 4:51 AM?
12:08 AM
What is 588 minutes before 9:32 PM?
11:44 AM
What is 223 minutes after 9:10 AM?
12:53 PM
What is 490 minutes after 4:14 PM?
12:24 AM
How many minutes are there between 6:20 PM and 11:52 PM?
332
What is 719 minutes before 2:06 AM?
2:07 PM
How many minutes are there between 11:40 PM and 10:47 AM?
667
How many minutes are there between 9:47 AM and 2:24 PM?
277
What is 54 minutes before 5:22 AM?
4:28 AM
How many minutes are there between 5:48 PM and 9:31 PM?
223
How many minutes are there between 6:05 PM and 7:49 PM?
104
What is 612 minutes before 11:35 PM?
1:23 PM
What is 490 minutes before 4:29 AM?
8:19 PM
How many minutes are there between 12:13 AM and 5:58 AM?
345
How many minutes are there between 10:49 PM and 6:50 AM?
481
How many minutes are there between 1:09 AM and 10:26 AM?
557
What is 595 minutes before 6:27 AM?
8:32 PM
How many minutes are there between 8:39 PM and 12:50 AM?
251
How many minutes are there between 7:42 PM and 10:53 PM?
191
What is 144 minutes after 11:00 PM?
1:24 AM
What is 277 minutes after 12:52 PM?
5:29 PM
How many minutes are there between 9:11 PM and 5:21 AM?
490
What is 539 minutes after 2:45 PM?
11:44 PM
How many minutes are there between 7:56 AM and 12:47 PM?
291
How many minutes are there between 5:50 AM and 6:17 AM?
27
What is 372 minutes after 5:31 AM?
11:43 AM
How many minutes are there between 1:11 PM and 10:55 PM?
584
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
g(a) = 178*a - 65*a - 4*a**2 + 9*a**2 - 116*a. Let y(m) = -44*m**2 + 28*m. Give 28*g(o) + 3*y(o).
8*o**2
Suppose -23*w + 61 = 3*w - 43. Let n(d) = 12*d**3 - 3*d**2 - 5*d - 4. Let g(s) = 13*s**3 - 4*s**2 - 6*s - 5. Give w*g(k) - 5*n(k).
-8*k**3 - k**2 + k
Let l be (10/4)/(1/2) - -15. Let y(b) = -l - 2 + 15 + 4*b. Let u(c) = c - 1. Calculate 6*u(r) - y(r).
2*r + 1
Let n(j) = -6*j - 1. Let o(h) = 11*h - 2. Determine -5*n(k) + 2*o(k).
52*k + 1
Let j(i) = 7*i - 48. Let a(n) be the second derivative of 2*n**3/3 - 12*n**2 - n + 751. What is 5*a(z) - 3*j(z)?
-z + 24
Let t(w) = 5*w + 5. Let i(v) be the third derivative of 0 + 117*v**2 - v**3 - 1/4*v**4 + 0*v. Give -4*i(a) - 5*t(a).
-a - 1
Let f(d) = 31*d**2 - 178*d + 118. Let i be f(5). Let a(h) = -h + 13. Let z(q) = -q + 13. Give i*a(u) - 2*z(u).
-u + 13
Let a(i) be the third derivative of -2 + 0*i + 0*i**3 - 29*i**2 + 1/24*i**4. Let d(v) = 3 + 3*v**2 - 4 + 6*v + 3. Determine -6*a(p) + d(p).
3*p**2 + 2
Let v(p) = -26*p**2 - 42*p + 7. Let l(o) = -o**2 - 3*o + 1. Give -9*l(w) + v(w).
-17*w**2 - 15*w - 2
Let d(f) = -16*f**2 + 146*f - 82. Let w(z) = -5*z**2 + 49*z - 29. Give 6*d(r) - 17*w(r).
-11*r**2 + 43*r + 1
Let n be (-3)/5 + 348/30. Let j(i) = -47*i + 15. Let p(m) = 25*m - 8. Let l(b) = n*p(b) + 6*j(b). Let y(s) = -266*s + 77. Give 77*l(c) - 2*y(c).
-7*c
Let c = 6416 - 6451. Let s(h) = 265*h**2 - 35*h - 35. Let r(i) = 22*i**2 - 3*i - 3. Calculate c*r(w) + 3*s(w).
25*w**2
Let z(j) = j**2 - 3*j + 3. Let n(h) = -13*h**2 + 4*h. Let v(t) = 16*t**2 - 5*t. Let m(p) = -5*n(p) - 4*v(p). Let w = -168 + 167. Give w*z(b) + 2*m(b).
b**2 + 3*b - 3
Let b(o) = -5*o - 2. Let m(a) = -98*a + 38*a - 1 + 57*a + 0. Calculate -2*b(p) + 5*m(p).
-5*p - 1
Let l(s) = 8*s**2 + 41*s - 12. Let n(q) = 32*q**2 + 162*q - 44. Calculate -11*l(t) + 3*n(t).
8*t**2 + 35*t
Let n(s) = -s**2 - 2*s - 7. Suppose 0*u - 12915 = 3*u - 12894. Let q(x) = x**2 + x + 5. Give u*q(i) - 5*n(i).
-2*i**2 + 3*i
Let n(o) = -3*o + 4*o + 0 + 1. Let s(v) = 3*v**2 - 35*v - 71. Let d be s(20). Let g(j) = -427 - d + 864 + 6*j. What is g(k) - 5*n(k)?
k + 3
Let m = 213 - 209. Suppose -m*f = -895 + 883. Let u(s) = 5*s - s**3 + 3*s**2 + s**2 + 3 + 4*s**3. Let r(l) = 2*l**3 + 3*l**2 + 4*l + 2. Give f*u(z) - 4*r(z).
z**3 - z + 1
Let o(l) = -37*l - 4. Let t(p) = -1. Suppose -160*i - 26*i + 1014 = -102. Determine i*t(k) - o(k).
37*k - 2
Let k(i) = -3*i - 10. Let o be 6/9 + 1380/9. Let b be 7/(-2)*132/o. Let l(z) = -2*z - 5. Suppose -y = y - 10. Determine b*k(v) + y*l(v).
-v + 5
Let g(l) = -785*l**3 - 5*l - 3. Let b(u) = 1575*u**3 + 11*u + 7. What is 5*b(d) + 11*g(d)?
-760*d**3 + 2
Let l(r) = 2*r**3 - 3*r**2 + 8*r - 8. Let g(p) be the first derivative of 1/4*p**4 - 5*p - 2/3*p**3 + 140 + 5/2*p**2. Determine -8*g(c) + 5*l(c).
2*c**3 + c**2
Let v be 36*(-12)/(-24) + (-3)/1. Suppose v*p + 3*p = -108. Let l(k) = -k**2 + k. Let c(z) = 2*z**2 - 5*z - 2. Give p*l(w) - c(w).
4*w**2 - w + 2
Let j(v) = v**3 + 2*v**2 + 2*v + 3. Let o(k) be the second derivative of 1/6*k**3 + 39*k + 0 + 1/12*k**4 + 1/2*k**2. What is j(q) - 3*o(q)?
q**3 - q**2 - q
Let s(d) = d + 6. Let o(q) = 6*q + 30. Suppose 14*n + 34 + 120 = 0. Give n*s(r) + 2*o(r).
r - 6
Let u(c) = 6*c**2 + c + 56. Let m(q) = q**2 + 4. Give 5*m(v) - u(v).
-v**2 - v - 36
Let w(p) = 6*p**3 - 4*p + 4. Let i = -11 - -7. Let x(n) = 7*n - 9 + 2212*n**3 - 2223*n**3 + 2. Give i*x(j) - 7*w(j).
2*j**3
Let p(z) be the first derivative of 27 + 2*z**3 + 23 - 42. Let x(n) = -n**2. Give 6*p(c) + 34*x(c).
2*c**2
Let k(d) = d + 7. Let f(v) = -10*v - 70. Give 6*f(t) + 69*k(t).
9*t + 63
Let r(i) = -i**2 + i - 4. Suppose 5*b - 3*m - 25 + 3 = 0, -b - 4*m - 14 = 0. Let w(x) = -3*x**2 + 3*x - 9. Determine b*w(y) - 5*r(y).
-y**2 + y + 2
Let o be ((-306)/357)/((2/7)/2). Let k(b) = 62*b + 366. Let i be k(o). Let z(s) = -2*s - 6. Let x(q) = 2 - 2 - 1. What is i*x(m) + z(m)?
-2*m
Let y be (-143)/(-9) + 220/(-45) + 5. Let i(d) = -5*d**2 - 3*d - 3. Let l(j) = -24*j**2 - 16*j - 16. Give y*i(f) - 3*l(f).
-8*f**2
Let g(k) = 21*k**2 + 10*k - 101. Let p(f) = -4*f**2 - 2*f + 19. Let n(s) = 2*g(s) + 11*p(s). Let b(h) = 6*h**2 + 6*h - 22. Calculate 3*b(i) + 10*n(i).
-2*i**2 - 2*i + 4
Let o(b) = b**2 - 3*b - 3. Let z(j) = 2*j**2 - 5*j - 5. Suppose -3*p = -47 - 46. Suppose 0 = 25*s - p*s. Let w = s + -5. Calculate w*o(c) + 3*z(c).
c**2
Let l(v) = -11*v**2 - 117*v - 7. Let r(s) = 5*s**2 + 52*s + 3. Let m(x) = 4*l(x) + 9*r(x). Let y(q) = 3*q**2 - 18*q - 4. Give -4*m(c) + y(c).
-c**2 - 18*c
Let u be (0 - 20/15)/((-88)/66). Let n(z) = 3*z**3 + 15*z - 4. Let k(p) = p**3 - 1. What is u*n(q) - 4*k(q)?
-q**3 + 15*q
Let x be 1 + 8/(0 + -1). Let j(i) be the first derivative of 2*i**4 - i**3 + 3*i**2 - 7*i - 54919. Let z(q) = 3*q**3 - q**2 + 2*q - 2. What is x*z(r) + 2*j(r)?
-5*r**3 + r**2 - 2*r
Let l be 24/(-20)*15/6. Let g(u) = 2*u**3 - 2*u**2 + 4*u + 6. Let b(j) = 3*j**3 - 4*j**2 + 7*j + 11. Give l*b(x) + 5*g(x).
x**3 + 2*x**2 - x - 3
Let t(m) = -3*m**2 - 11*m + 2. Let d(b) = -b**2 - 5*b + 1. Let s = -50 + 2. Let i = s + 45. What is i*t(r) + 7*d(r)?
2*r**2 - 2*r + 1
Let d(l) = 3714*l + 12. Let w(k) = -1229335*k - 3975. What is -1325*d(s) - 4*w(s)?
-3710*s
Let b(w) = 4*w**3 + 2*w**2 + 3. Let n(u) = 29*u - 5*u**3 + 2*u**3 - 29*u + 1 + 4*u**3. Calculate -b(t) + 3*n(t).
-t**3 - 2*t**2
Let s(d) = -19*d**2 - 21*d - 69. Let a(l) = -3*l**2 - 2*l - 1. Give 6*a(x) - s(x).
x**2 + 9*x + 63
Let h(c) be the second derivative of -c**3/6 - 2*c**2 - 310*c - 3. Suppose 0 = 3*j - 3, -g + 6*j - 3*j = -2. Let s(w) = 2*w + 7. What is g*h(i) + 2*s(i)?
-i - 6
Let j(t) = -9*t**3 - 9*t - 7. Let h = -728 - -665. Let x be 27*3*7/h. Let p(i) = -5*i**3 - 4*i - 3. Calculate x*p(y) + 4*j(y).
9*y**3 - 1
Let r(v) = -21*v**2 - 11*v + 11. Suppose -25952*g + 12 = -25946*g. Let c(z) be the first derivative of -4/3*z**3 + 2*z - 10 - z**g. Determine 22*c(b) - 4*r(b).
-4*b**2
Let y(u) = -10*u - 12. Suppose 13*b = 1114 + 69. Suppose 5*v - x = v + b, -4*v + 3*x + 97 = 0. Let a(j) = -j - 1 + 2*j - 3 + 5. Give v*a(t) + 2*y(t).
2*t - 2
Let o(n) = 699*n + 8. Let u(p) = 4885*p + 54. Give 27*o(t) - 4*u(t).
-667*t
Let m(l) = -16*l - 18. Let t be (0 - -65)*(-16)/(-20). Let c be (-6)/9 - t/(-6). Let v(j) = c*j + 3 + 5*j - 2 - 12*j. Determine 2*m(y) + 36*v(y).
4*y
Let s(x) = x + 13. Let w(v) = 2*v + 25. Let f be 4/(-14)*(6 - (-11 - 4)). Calculate f*w(j) + 11*s(j).
-j - 7
Let l(z) = z**3 - 7*z**2 + 73*z - 309. Let b be l(5). Let f(t) be the first derivative of -t**2/2 + 3. Let s(p) = 2*p + 1. What is b*f(x) + s(x)?
-4*x + 1
Let d(z) = 45*z**2 - 3. Let v(g) = -23*g**2 + 2. Let y(s) = -s**3 + 20*s**2 - 39*s - 1. Let m be y(2). Give m*v(b) - 4*d(b).
-19*b**2 - 2
Suppose 323*d + 625 = -282*d - 20*d. Let m(x) = -7*x + 14. Let k(w) = w. Give d*m(o) - 5*k(o).
2*o - 14
Let k(d) = 148*d**2 + 7*d + 1. Let s(x) = 49*x**2 - 3*x + 195. Let p(g) = 49*g**2 - 4*g + 234. Let r(y) = 5*p(y) - 6*s(y). Determine 2*k(h) + 7*r(h).
-47*h**2 + 2
Let p(t) = t**2 + 3*t - 45. Let s(d) = -65*d - 90. Let m(j) = j**2 + 361*j + 450. Let x(z) = 2*m(z) + 11*s(z). Give 9*p(n) - 4*x(n).
n**2 - n - 45
Let s(r) = -4*r + 3. Let y(u) = 87*u - 83. Let t be y(1). Let i(h) be the second derivative of 0 - 1/2*h**2 + 6*h. Give t*i(f) + s(f).
-4*f - 1
Let p(x) = 1260*x + 330. Let m(i) = 61*i + 16. Let n(l) = -165*m(l) + 8*p(l). Let u(y) = -y. Give n(c) - 5*u(c).
20*c
Let q(h) = -h**2 - 2*h + 1. Let s(g) be the first derivative of 2*g**3/3 + g**2 + 2496. Determine -3*q(p) - 2*s(p).
-p**2 + 2*p - 3
Let s(d) = -84*d. Let y(p) = -493*p + 144. Determine -6*s(m) + y(m).
11*m + 144
Let u(p) = -5*p**2 - 5. Let o(d) = -9*d**2 - d - 9. Let g = -63 + 71. Let j be 13/26 - 28/g. What is j*o(k) + 5*u(k)?
2*k**2 + 3*k + 2
Let z(w) = -1748 + 863 - 4*w + 2*w + 884. Let m(f) = 9*f + 5. Let u(b) = 5*b + 3. Let j(q) = 3*m(q) - 5*u(q). What is -2*j(o) - 3*z(o)?
2*o + 3
Let h(w) = 11*w**3 + 908*w - 7. Let p(u) = -8*u**3 - 606*u + 5. Determine -5*h(d) - 7*p(d).
d**3 - 298*d
Let m(p) = 1972*p**3 + 174*p**2 + 2784*p. Let q(u) = u**2 + 16*u. Determine m(n) - 174*q(n).
1972*n**3
Suppose -2570*d + 36 = -2579*d. Let s(g) be the first derivative of g**3/3 - 6. Let n(p) = -8*p**2. Determine d*s(t) - n(t).
4*t**2
Let o(g) = -2*g - 8. Suppose 5*n + t = 9*n + 20, -40 = 4*n + 4*t. Let k(q) = -q - 9. Giv
|
{
"pile_set_name": "DM Mathematics"
}
|
9
421
What is -23e8 (base 15) in base 3?
-101111002
2487 (base 9) to base 16
745
Convert 1010 (base 4) to base 13.
53
What is 2222 (base 7) in base 5?
11200
What is 43123 (base 5) in base 3?
10222220
-145553 (base 6) to base 15
-4353
162a (base 15) to base 9
6474
1432342 (base 5) to base 7
154322
Convert -2053 (base 8) to base 3.
-1110112
Convert -1002110 (base 4) to base 12.
-2558
Convert 14536 (base 8) to base 2.
1100101011110
-59c (base 14) to base 5
-13433
1347 (base 10) to base 12
943
What is b9ad (base 16) in base 8?
134655
What is -211022 (base 3) in base 5?
-4402
40 (base 5) to base 10
20
Convert bef (base 16) to base 5.
44210
What is 9259 (base 15) in base 4?
13202331
What is -31341 (base 5) in base 6?
-13412
-4321 (base 6) to base 7
-2605
What is 3133 (base 6) in base 9?
863
What is 1216 (base 12) in base 6?
13230
What is 100124 (base 7) in base 3?
212010222
Convert 553 (base 10) to base 15.
26d
Convert 103134 (base 5) to base 8.
6730
What is -b45 (base 16) in base 13?
-140c
242240 (base 6) to base 11
14a81
What is 331513 (base 6) in base 2?
110101111100101
-1301321 (base 4) to base 5
-213124
Convert -1616 (base 9) to base 11.
-a19
2a75 (base 11) to base 8
7562
Convert -20a59 (base 12) to base 3.
-2011221220
-8b8 (base 12) to base 14
-684
Convert 12059 (base 11) to base 9.
25736
Convert 11211 (base 4) to base 12.
259
-32c (base 15) to base 9
-876
-851 (base 13) to base 6
-10322
What is -140033 (base 5) in base 15?
-1a13
What is -714 (base 10) in base 11?
-59a
What is -661 (base 8) in base 16?
-1b1
What is 4959 (base 11) in base 8?
14515
-236 (base 15) to base 11
-416
Convert 114404 (base 5) to base 12.
262a
Convert -34732 (base 11) to base 12.
-25015
What is 18b8b (base 12) in base 8?
106633
121311 (base 4) to base 13
9a2
Convert 131124 (base 5) to base 13.
2473
Convert -21065 (base 8) to base 9.
-13010
Convert -33665 (base 9) to base 15.
-6995
What is 7164 (base 8) in base 10?
3700
Convert 23135 (base 13) to base 10.
63926
Convert 11000001100011 (base 2) to base 12.
7203
Convert 441 (base 14) to base 12.
5a1
What is -2680 (base 10) in base 15?
-bda
-30122 (base 4) to base 14
-40a
-1b7 (base 14) to base 10
-357
-641 (base 7) to base 11
-274
What is c800 (base 13) in base 7?
143543
Convert 3504 (base 10) to base 12.
2040
Convert -70 (base 12) to base 16.
-54
What is -11304 (base 5) in base 12?
-591
What is -451211 (base 6) in base 5?
-2203004
250414 (base 6) to base 3
1010102201
-2639 (base 14) to base 13
-3097
Convert 7475 (base 8) to base 3.
12100111
What is -151 (base 12) in base 4?
-3031
Convert 5944 (base 13) to base 15.
3ac7
What is 56790 (base 10) in base 13?
1cb06
-101100111 (base 2) to base 15
-18e
Convert -613 (base 8) to base 10.
-395
What is -33230 (base 4) in base 6?
-4352
What is 2273 (base 8) in base 3?
1122212
Convert -46 (base 12) to base 2.
-110110
Convert 3 (base 7) to base 15.
3
1054 (base 6) to base 12
18a
What is -362 (base 14) in base 4?
-22202
What is -499 (base 14) in base 15?
-414
244242 (base 5) to base 9
13707
-1800 (base 9) to base 13
-81c
What is 223314 (base 5) in base 16?
1f17
Convert -31010 (base 4) to base 10.
-836
Convert 2225 (base 6) to base 3.
201022
Convert 5054 (base 6) to base 16.
45a
Convert -611 (base 13) to base 5.
-13103
-13d8 (base 15) to base 13
-1c22
-3273 (base 9) to base 10
-2415
Convert 1212440 (base 6) to base 11.
44187
Convert -3 (base 10) to base 15.
-3
Convert 30246 (base 8) to base 7.
51211
What is -2055 (base 6) in base 16?
-1d3
Convert 547c (base 15) to base 16.
45e4
What is 17c (base 13) in base 16?
110
500533 (base 6) to base 15
b8a6
Convert -43d (base 14) to base 9.
-1132
What is cce3 (base 16) in base 6?
1042455
What is 1779 (base 11) in base 10?
2264
101011011 (base 2) to base 6
1335
What is -278 (base 16) in base 7?
-1562
What is 819 (base 10) in base 8?
1463
Convert -2005 (base 6) to base 15.
-1e2
What is -3545 (base 6) in base 8?
-1531
Convert -100101101 (base 2) to base 5.
-2201
5a6 (base 15) to base 11
a65
What is -1593 (base 10) in base 14?
-81b
Convert -1612 (base 7) to base 15.
-2d1
1a579 (base 12) to base 16
97ad
What is 2162 (base 8) in base 9?
1504
What is -13048 (base 11) in base 14?
-6b4a
408 (base 15) to base 5
12113
What is a2 (base 11) in base 14?
80
What is 124444 (base 5) in base 7?
20401
-3e49 (base 15) to base 12
-7880
Convert -1742 (base 13) to base 4.
-311222
2364 (base 8) to base 2
10011110100
73662 (base 8) to base 12
15896
10ecf (base 16) to base 4
100323033
What is 11cc (base 14) in base 16?
c30
Convert -38 (base 12) to base 14.
-32
Convert 279d (base 15) to base 8.
20431
Convert -1178 (base 11) to base 10.
-1537
-7153 (base 13) to base 12
-9054
-11c (base 13) to base 14
-dc
Convert -8665 (base 11) to base 3.
-120200220
1086 (base 11) to base 8
2621
-47b (base 16) to base 9
-1514
-3666 (base 7) to base 8
-2533
-6484 (base 13) to base 16
-368e
Convert 84 (base 11) to base 9.
112
-13524 (base 8) to base 5
-142342
-15053 (base 9) to base 11
-7782
Convert 33774 (base 9) to base 10.
22504
-40412 (base 7) to base 6
-113225
Convert -2110 (base 5) to base 8.
-430
Convert -131 (base 13) to base 5.
-1314
Convert -1000010010 (base 2) to base 15.
-255
What is 102220112 (base 3) in base 11?
6582
What is 8a8b (base 12) in base 9?
23068
3712 (base 11) to base 15
1688
What is -bfa (base 16) in base 15?
-d96
Convert -1110000101 (base 2) to base 8.
-1605
Convert 214 (base 15) to base 10.
469
Convert -704 (base 8) to base 14.
-244
Convert -5 (base 15) to base 3.
-12
Convert -2957 (base 10) to base 12.
-1865
Convert 1030 (base 11) to base 10.
1364
1103 (base 6) to base 15
120
37 (base 10) to base 13
2b
4c0 (base 14) to base 11
796
What is 133 (base 12) in base 13?
111
What is 12220231 (base 4) in base 3?
1101021201
Convert -2454 (base 7) to base 6.
-4133
-4451 (base 7) to base 14
-828
What is 9b2 (base 16) in base 9?
3357
What is -270 (base 9) in base 3?
-22100
Convert -42120 (base 5) to base 4.
-223201
Convert 546 (base 12) to base 14.
3d4
What is 32242 (base 6) in base 14?
1878
14051 (base 7) to base 3
12020002
-21558 (base 12) to base 2
-1010101111010100
Convert 302553 (base 7) to base 8.
144276
What is -5217 (base 11) in base 3?
-100111010
What is -163 (base 15) in base 5?
-2233
What is -66b4 (base 13) in base 14?
-5327
Convert 1020121 (base 3) to base 5.
12112
Convert -41a (base 16) to base 11.
-875
2041110 (base 5) to base 13
12581
Convert -25134 (base 7) to base 14.
-258b
-16b (base 12) to base 11
-197
Convert -11343 (base 5) to base 14.
-448
What is -400 (base 12) in base 4?
-21000
Convert c5a5 (base 13) to base 15.
817e
What is -3769 (base 10) in base 15?
-11b4
Convert -222330 (base 6) to base 15.
-581c
195 (base 10) to base 2
11000011
22342 (base 5) to base 10
1597
Convert -2aa (base 11) to base 9.
-442
198a (base 11) to base 16
9d6
What is -3755 (base 10) in base 14?
-1523
What is 711 (base 9) in base 6?
2401
What is 2565 (base 7) in base 8?
1722
3656 (base 9) to base 10
2724
Convert 61228 (base 10) to base 15.
1321d
Convert 345 (base 8) to base 6.
1021
Convert 12411 (base 5) to base 10.
981
What is -1004 (base 10) in base 16?
-3ec
Convert 1218 (base 11) to base 2.
11000111000
What is -2656 (base 7) in base 8?
-1775
-92bb (base 14) to base 15
-7738
-5442 (base 12) to base 4
-2100302
Convert -2388a (base 13) to base 5.
-4041204
What is 2471 (base 11) in base 14?
1264
Convert 103a3 (base 12) to base 10.
21291
What is -37919 (base 10) in base 13?
-1434b
What is 2a0a (base 14) in base 10?
7458
-40136 (base 7) to base 12
-5728
Convert 24608 (base 9) to base 15.
4d72
Convert 4696 (base 14) to base 9.
17758
What is -1000200 (base 3) in base 2?
-1011101011
308 (base 9) to base 8
373
What is -2e82 (base 16) in base 14?
-44a6
Convert -186 (base 15) to base 5.
-2401
-54a (base 14) to base 13
-626
-81c9 (base 16) to base 5
-2030400
What is -1200200 (base 3) in base 14?
-641
What is 4177 (base 9) in base 11?
2339
What is -204 (base 14) in base 3?
-112200
103430 (base 5) to base 16
e1f
-12041 (base 5) to base 16
-380
Convert a5c (base 15) to base 5.
33322
What is 857 (base 11) in base 7?
3001
Convert -35655 (base 7) to base 11.
-6a51
30a (base 14) to base 10
598
-3102 (base 5) to base 9
-486
-112220021 (base 3) to base 4
-2221231
-14304 (base 5) to base 4
-102310
2
|
{
"pile_set_name": "DM Mathematics"
}
|
r of w?
False
Let x = -79 - -118. Is x a multiple of 7?
False
Is (41 + -1)*2/1 a multiple of 8?
True
Suppose -4*a = -2*a - 330. Does 23 divide a?
False
Let f = -5 + 7. Suppose -3*r - 5*m = -8*r + 55, -2*m = f. Is 10 a factor of r?
True
Let j(s) = -2*s**3 - 4*s**2 + 2*s. Does 7 divide j(-4)?
True
Let m(n) = -6*n - 18. Let f be m(-14). Suppose -4*k = -k - f. Does 11 divide k?
True
Let a = 8 + -8. Let b(w) = a + 2 + 0*w**2 - w**3 + 0*w**3 + 5*w**2. Is b(4) a multiple of 17?
False
Let c = -31 - -127. Is c a multiple of 48?
True
Let o(b) = b + 5. Let d be o(-3). Does 6 divide d*2/2 + 5?
False
Suppose 8 = m + 2*o, -3*m + 0*o = -2*o. Suppose 2*a - 4*p + 7 = 3*a, 0 = -m*a + 4*p + 14. Does 2 divide a?
False
Suppose 3*p + h - 111 = 0, -5*h - 15 = -0*h. Suppose 0 = 5*l - 2 - p. Is 6 a factor of 145/20 + 6/l?
False
Let o(j) = 12 - 12*j + 14*j**2 - 13*j**2 + 5. Is 9 a factor of o(14)?
True
Let d(y) = 12*y**2 + 6*y - 3. Let p(q) = -35*q**2 - 19*q + 9. Let s(o) = 7*d(o) + 2*p(o). Let w be s(2). Suppose 25 = -3*k + w. Is k a multiple of 5?
False
Let t(b) = b**2 - b + 29. Let m = -5 + 5. Is 23 a factor of t(m)?
False
Is 5 a factor of 20 + -17 + 1*7?
True
Suppose 6 = 2*m, 4*l - 5*m - 30 - 19 = 0. Is l a multiple of 5?
False
Let c(l) = -l - 4. Let i be ((-3)/2 + 1)*8. Let u be c(i). Let n(k) = k**3 - k**2 + 3. Is 3 a factor of n(u)?
True
Let q(w) = -w**3 + 2*w**2 - 3*w + 4. Suppose -3*j = 2*j. Suppose i + 4*i + 15 = j. Is 20 a factor of q(i)?
False
Suppose -3*h - 32 = -7*h. Suppose -f + a + 15 = 0, 5*f - 4*a - 85 = -h. Is f a multiple of 10?
False
Let n = 23 + -17. Does 3 divide n?
True
Suppose 4*k - 389 = 5*h, 6*k - 8*k = 4*h - 162. Is k a multiple of 35?
False
Let s = 58 + -21. Is 14 a factor of s?
False
Let v be (-1)/(-3) - (-133)/(-21). Let h(z) = -z**3 - 5*z**2 - 2*z - 7. Is 16 a factor of h(v)?
False
Let a = 9 + -2. Suppose 4*d = 3*d + a. Is 5 a factor of d?
False
Let x be ((-3)/6)/(1/(-8)). Let t(n) = -2*n**2 - 6*n - 6. Let s be t(-4). Is x/s + 200/14 a multiple of 9?
False
Let m be -3 + 3 + 1 + 6. Suppose 2*r - 12 = -3*p, -m = r - 6*r + 4*p. Is r a multiple of 2?
False
Suppose 23 = 5*j - 12. Suppose -2*q = -10, 36 + 20 = r + 4*q. Let a = r - j. Is 12 a factor of a?
False
Let d(c) = c**2 + 2*c - 6. Is d(4) a multiple of 9?
True
Let f be (-4)/3*-21*1. Suppose 2*z = -l + 4, 2*z - 4*z = 4*l - f. Does 4 divide l?
True
Let m(q) = 6*q**3 + 3*q**2 + 10 + 4*q**2 - 5*q**3 - 7*q. Let t be m(-8). Suppose t*p - p = 48. Is p a multiple of 14?
False
Suppose -103 = 4*r - l + 194, 0 = 3*l - 15. Let x = 111 + r. Does 13 divide x?
False
Let v be (24/4)/((-3)/(-2)). Suppose -z - 5*d = -v*z - 26, 6 = z + 2*d. Let i = 4 + z. Is i even?
True
Let r = -125 - -69. Is 5 a factor of (-576)/r + 4/(-14)?
True
Suppose o = 4*o - 9. Is 2 a factor of o?
False
Let a = 0 - 2. Let i = a + 8. Suppose i*o - 120 = o. Is o a multiple of 14?
False
Let p(z) = 2*z + 0 - 4*z - 3. Let u be p(-5). Suppose 4*x - 21 + u = k, -x = 3*k - 23. Is k a multiple of 4?
False
Let d(o) be the third derivative of o**4/6 + o**3/2 - o**2. Is 12 a factor of d(7)?
False
Let c = -65 + 101. Is c a multiple of 6?
True
Let t(j) = -j**3 - 3*j**2 - 2. Let q be t(-3). Let x = q + 7. Let y(r) = 5*r - 2. Is 12 a factor of y(x)?
False
Suppose -5*z - 4 = i, -3*z + 12 = -2*i + 5*i. Suppose 0 = -3*w + 3*m + 15, -m + 1 - i = -4*w. Suppose w = 3*a - 15 - 45. Does 10 divide a?
True
Let w(i) = 9*i**2 + 4*i + 2. Let d be w(-2). Suppose -a = 12 - d. Let u = -12 + a. Is 6 a factor of u?
True
Suppose -5*h = -11*h + 300. Does 17 divide h?
False
Let c be (-21)/(-14)*(0 - -44). Suppose -c = -w + 2*v, 4*w = 2*v + 88 + 152. Does 12 divide w?
False
Let r = -180 + 264. Let g = r - 58. Is g a multiple of 14?
False
Let n = 39 - 26. Let i(c) = -n*c + 6 - 2 + 7*c**2 + 11*c - c**3. Is i(4) a multiple of 20?
False
Suppose 3*q + 18 = -39. Let n(m) = m**3 - 12*m**2 - 10*m - 8. Let y be n(13). Let c = y + q. Is c a multiple of 12?
True
Let t = 14 - 9. Let n = 44 + t. Is 19 a factor of n?
False
Suppose 4*a - 32 = 2*u, -3*a = 4*u - 2*a + 19. Let v(q) = -2*q - 9. Let g be v(u). Suppose 2*p - 32 = -x, g*x + 0*p = -5*p + 98. Is x a multiple of 12?
True
Suppose 8*p - 81 = 5*p. Does 9 divide p?
True
Let t = 48 - 43. Suppose g = n + 3, 0 = 3*n - n + 4*g - 12. Suppose n = t*x + b - 135, -4*x + 5*b + 122 = 3*b. Is 10 a factor of x?
False
Suppose 0*b - 3*b + 6 = 0. Suppose 8 = 2*v + 4*y, 0 = b*v - 2*y + 3 - 23. Suppose -105 = -v*d + 3*d. Is d a multiple of 14?
False
Let q(r) = r**3 + r + 15. Let s be q(0). Let w = s - 13. Does 2 divide w?
True
Suppose 3*s + 28 = 4*s - 4*d, 3*s - 3*d = 120. Is s a multiple of 28?
False
Does 14 divide 42/(-35)*35/(-2)?
False
Suppose -6 = -3*p - 5*i + 22, 2*p - i + 3 = 0. Suppose -5 + p = -z. Does 5 divide (0 - (-2)/z)*10?
True
Suppose 54 = 3*h + 2*g, h + 4*g = -2*h + 48. Is 20 a factor of h?
True
Suppose -5*c + 726 + 659 = 0. Does 41 divide c?
False
Let z = -187 - -271. Suppose -z = -g - 5*g. Is 7 a factor of g?
True
Let o(t) = -t**2 + 11*t + 6. Suppose 5*f + 4*i = 17 + 8, 5*f - 25 = -i. Does 22 divide o(f)?
False
Let t = -5 - -5. Let r be ((-10)/(-2))/(1 - t). Suppose 5*w = -m + 42, -r*m - 8 = -4*m - 5*w. Does 17 divide m?
True
Let o(f) = 3*f**3 + 1. Let s be o(1). Suppose 0 = -3*y + s*y - 7. Suppose 0 = 5*n + 2*l - 84, -3*l + y = 4*n - 56. Does 9 divide n?
True
Suppose 0 = 2*f - 0 - 4. Suppose 16 = 5*m - 84. Suppose 0 = 2*v + f - m. Does 3 divide v?
True
Let o(c) = -24*c**2 + c. Let f be o(-1). Let s = -11 - f. Suppose -4*x = -4*z + 18 + s, -2*x - 4 = z. Is z a multiple of 2?
True
Let k = -1 - 3. Let y(f) = -7*f - 5. Let t(b) = 7*b + 6. Let p(n) = k*t(n) - 5*y(n). Is 9 a factor of p(4)?
False
Is (-168)/(-7) - -4*1 a multiple of 26?
False
Let l = -109 + 222. Suppose 5*x - 145 = -3*r, -l = -2*x - 2*x - 3*r. Is x a multiple of 16?
True
Let q(v) = v**3 + 6*v**2 - 2*v + 1. Let l = -2 - 2. Let d be l + ((-18)/3)/3. Does 13 divide q(d)?
True
Suppose -4*h - 4*b - 47 = -5*h, 4*h + b = 137. Is 4 a factor of h?
False
Let y(m) = m**3 + 5*m**2 + 4*m - 4. Let d be y(-4). Let o be 1/2 + 146/d. Let z = o + 52. Is z a multiple of 9?
False
Let c(x) = 15*x + 1. Let o be c(3). Let l = -20 + o. Is l a multiple of 13?
True
Let q(m) = m + 11. Let n be q(-8). Suppose 0 = -2*j + n*j. Does 13 divide 3 + (40 - j - 2)?
False
Let k = 5 - 3. Suppose 0*q = -k*q + 12. Is q a multiple of 6?
True
Suppose 0 = -2*q - 143 + 29. Let f = -31 - q. Is f a multiple of 13?
True
Suppose 5*u - 151 - 69 = 0. Is u a multiple of 11?
True
Let u(j) be the second derivative of -j**5/20 - j**4 - 13*j**3/6 - 5*j**2/2 - 2*j. Is 17 a factor of u(-11)?
True
Let s(q) = 4*q**2 - 12*q. Is s(5) a multiple of 14?
False
Let l(j) = -j**2 + j - 3. Let a be l(0). Let m be 0 + 10*(-3)/a. Is (-81)/(-5) + (-2)/m a multiple of 11?
False
Is 17 a factor of ((-25)/(-20))/((-3)/(-204))?
True
Let v be (-1 - (-2)/(-4))*-2. Let i(a) = -a**3 + 5*a**2 - 2*a - 3. Is i(v) a multiple of 9?
True
Let x(o) = -o + 3*o**3 - o**3 + 16*o**2 - 16*o**2. Does 13 divide x(3)?
False
Is 23 a factor of (-2)/5 + (-1521)/(-65)?
True
Let j(d) = -d**2 + 11*d + 3. Suppose 0 = -5*r + 2*w + 35, -3*r + r + 3*w + 25 = 0. Does 10 divide j(r)?
False
Let v(z) = 2*z**2 + 7*z + 9. Let n be v(-6). Suppose 2*i - n = 49. Suppose 11 = -3*h + i. Is h a multiple of 7?
False
Suppose 4*i - 32 = -0*i. Suppose 45 = 5*u - i*u. Let p = -7 - u. Is 4 a factor of p?
True
Suppose -7*r + 11*r - 712 = 0. Does 13 divide r?
False
Suppose -5*i + i + 64 = 0. Let v = i + -5. Is v a multiple of 11?
True
Let j(m) be the second derivative of -m**4/12 - m**3 - 5*m**2/2 + 2*m. Let u be j(-5). Let c = 7 - u. Is c a multiple of 3?
False
Let m(l) = l**2 - 6*l. Is m(8) a multiple of 4?
True
Suppose 0 = -9*f - 420 + 1338. Does 17 divide f?
True
Suppose -5*f + 23 = -137. Let a be f*((-15)/12 - -2). Suppose -k - k = -a. Is k a multiple of 6?
True
Let z(f) = -5*f. Let d(i) = i - 1. Let c(t) = -4*d(t) - z(t). Let q(y) = -y**3 + 6*y**2 + y - 6. Let s be q(6). Is c(s) even?
True
Suppose 2*x = -x + 9. Suppose p + 1 + x = -4*z, 3*p + 56 = -z. Let a = p - -49. Is a a multiple of 10?
False
Let b(l) = -9*l + 10. Does 51 divide b(-20)?
False
Suppose -i = z - 5 - 2, 4 = 2*i. Is z a multiple of 3?
False
Suppose m = -3*m + 12. Suppose 0 = -j + 5*l + 29, -5*j - 3*l + 2 + m = 0. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
80*b*x**2 - 312*x
Differentiate -141124*w**2 - 99748 with respect to w.
-282248*w
What is the second derivative of 8304*a**2*x**3 + 14*a**2*x**2 + 2*a**2*x + 178680*a*x + 2*x**3 wrt x?
49824*a**2*x + 28*a**2 + 12*x
What is the second derivative of 170899*h**2*k**2 - 199746*h**2*k wrt k?
341798*h**2
What is the derivative of 597263*k**3 + k*n + 713339*n wrt k?
1791789*k**2 + n
Differentiate 8*d*j**3 + 238624*d + 10*j**3 + 64627*j + 2 with respect to d.
8*j**3 + 238624
What is the first derivative of 5*a*d**2*s**3 + 8*a*d**2*s**2 + 6*a*d**2*s - a*d*f - 6027*d**2*f*s**3 + 3*d**2*s**3 - 2*d**2 + f*s**3 wrt f?
-a*d - 6027*d**2*s**3 + s**3
Find the third derivative of -253509*v**3 + 5*v**2 + 2*v + 420 wrt v.
-1521054
What is the third derivative of 2*j**5*m**2 + 73649*j**5*m - 2*j**2*m**2 + 4*j**2*m + 3*j + 173*m**2 - 15*m wrt j?
120*j**2*m**2 + 4418940*j**2*m
Find the third derivative of -53129*j**2*x**3 - j**2*x - 147*j**2 - 27*x**2 wrt x.
-318774*j**2
Find the third derivative of -38869*s*x**3 - 2530*s*x + 2*x**2 wrt x.
-233214*s
What is the third derivative of -2*d**6 + 783261*d**3*s**3 - 2*d**2*s**3 - 3*d*s**3 - d*s**2 + 630*s**3 - 5 wrt d?
-240*d**3 + 4699566*s**3
What is the second derivative of -216788*o**3 - 3*o**2 - 877529*o?
-1300728*o - 6
Differentiate -1899788*g**2*n*y**3 - 11*g**2*y**3 + 5*g**2 - 190*g*y**2 wrt n.
-1899788*g**2*y**3
What is the derivative of 7*a**2*f**2 + 3*a**2 + a*f**2 + 54*a - 866982*f**2 wrt a?
14*a*f**2 + 6*a + f**2 + 54
What is the third derivative of -40983*y**5 + 7331*y**2 + 2*y - 1 wrt y?
-2458980*y**2
Find the second derivative of -10*x**5 + 25162*x**2*y**2 + x*y**2 + 39*x - y - 99 wrt x.
-200*x**3 + 50324*y**2
Differentiate -544580*y**3 + 285120.
-1633740*y**2
Find the second derivative of 184*i**2*v**4 + 185*i**2*v**3 + 201*i**2*v + 36*i**2 - 7*i*v wrt v.
2208*i**2*v**2 + 1110*i**2*v
What is the third derivative of -170*h**4 + 233*h**3 + h**2 - 3522*h wrt h?
-4080*h + 1398
What is the third derivative of -1094*n*o*z**4 + 7*n*o*z**2 + 3*n*o*z + 89*n*z**3 - 265*n*z**2 - 2*o*z**4 + 2*o*z**2 + 15*z wrt z?
-26256*n*o*z + 534*n - 48*o*z
Differentiate 1735309*t + 500985 wrt t.
1735309
Find the third derivative of -64693*f**5 + 7*f**2 - 861 wrt f.
-3881580*f**2
Find the second derivative of -469198*f**2 - 32605*f + 7 wrt f.
-938396
What is the second derivative of -58*j*n**2 - 17*j*n - 590*n**2 - 93*n - 1 wrt n?
-116*j - 1180
Find the third derivative of 141307*s**3*w + s**2*w - 10441*w wrt s.
847842*w
What is the second derivative of 5883*v**2 + 2*v - 14812 wrt v?
11766
Differentiate 352979*s*t**2 + 165494*t**2 with respect to s.
352979*t**2
Find the second derivative of -36694*k**4 - k**2 + 3*k - 15209.
-440328*k**2 - 2
What is the third derivative of -2*i**5 + 717631*i**3 + 17*i**2 - 5*i - 138?
-120*i**2 + 4305786
What is the third derivative of 66558*i**4 + 10*i**2 - 4*i + 1199 wrt i?
1597392*i
Find the second derivative of -249197*q**5 - 47687*q wrt q.
-4983940*q**3
Find the second derivative of -438570*j**2*l - 2*j**2*r + 4*j*l*r + 5*j*l - 2801*j*r - l wrt j.
-877140*l - 4*r
Find the second derivative of 24897*k*w**2 + 27*k*w + w**2 + 1019*w wrt w.
49794*k + 2
Differentiate -452*a**2*x + a*x - 28*a - 6*x - 6356 wrt a.
-904*a*x + x - 28
What is the first derivative of -132*u**2 - 61*u + 73064?
-264*u - 61
What is the second derivative of 1247158*d**3 + 12224*d + 25 wrt d?
7482948*d
What is the second derivative of -17274*s**3 - 4*s**2 - 4*s - 7611 wrt s?
-103644*s - 8
Find the third derivative of -1793*c*y**6 + c*y**4 - c + 64*y**2 + 56 wrt y.
-215160*c*y**3 + 24*c*y
Differentiate 142*f**2*n - f**2 - 2452*f + 301*n + 5 wrt n.
142*f**2 + 301
What is the second derivative of 1981*d**2*p**2 - 5*d**2*p + 68*d*p + 13*p wrt p?
3962*d**2
Find the first derivative of 206*g**4 + 17*g**2*j + 14877*j wrt g.
824*g**3 + 34*g*j
Find the third derivative of 235784*x**3 + 2*x**2 + x - 7017.
1414704
What is the second derivative of -1011*b**5 + 6*b**3 - 2*b**2 + 9436*b - 2?
-20220*b**3 + 36*b - 4
What is the second derivative of 3678*k**4 + 69*k**3 + 158*k + 1992?
44136*k**2 + 414*k
Find the first derivative of -46430*u**2 - 6910 wrt u.
-92860*u
Find the third derivative of 7*y**5 + 12*y**4 + 4*y**3 - 18409*y**2 + y + 1.
420*y**2 + 288*y + 24
Find the third derivative of -1712337*j*o**3 + 66*j*o**2 + 3*j + 26*o**2 + 7*o wrt o.
-10274022*j
Find the third derivative of 45916*d**3 + d**2 + 324 wrt d.
275496
What is the second derivative of -11589*g**2 + 41587*g?
-23178
What is the first derivative of -4*c*j*q + 359968*c*j - 2*c*q - 62791*j*q + 2*j wrt q?
-4*c*j - 2*c - 62791*j
What is the second derivative of c**3 + 633126*c**2 + 1422483*c?
6*c + 1266252
What is the third derivative of -518293*v**3 - 25*v**2 + 10*v + 26 wrt v?
-3109758
Find the second derivative of 1325*d**3*p**2 + 2*d**3*p + 17*d**3 + 5*d*p**2 - 30*p**2 + 184 wrt d.
7950*d*p**2 + 12*d*p + 102*d
Find the second derivative of -10*f**3 - 460*f**2 - 13*f + 389 wrt f.
-60*f - 920
What is the third derivative of -8*s**6 + 30*s**5 + 4*s**4 + s**2 + 5*s - 526?
-960*s**3 + 1800*s**2 + 96*s
What is the second derivative of -f**5*y - 58074*f**2*y**3 - f*y**3 - 196*f*y + y**2 wrt f?
-20*f**3*y - 116148*y**3
What is the third derivative of 3772*v**6 - v**5 + v**4 + 13*v**2 + 127 wrt v?
452640*v**3 - 60*v**2 + 24*v
What is the third derivative of -30*r**5 - 89*r**3 - 35*r**2 + 165 wrt r?
-1800*r**2 - 534
What is the third derivative of -81007*i**6 - 923703*i**2?
-9720840*i**3
Find the second derivative of 76204*m**4 + 8*m - 2367.
914448*m**2
Find the first derivative of -155*n**2*v - 2523964*n**2 - 307*n*v - 3*v wrt v.
-155*n**2 - 307*n - 3
What is the second derivative of -109742*l**3 - 418856*l?
-658452*l
Find the second derivative of -656437*j**5 + 52097*j + 4 wrt j.
-13128740*j**3
What is the first derivative of 61164*b*j + j - 88174 wrt b?
61164*j
Find the first derivative of 25892*q - 858568 wrt q.
25892
Find the second derivative of 10*j**3*r**2*v + 132*j**3*r**2 - 4*j**3*r*v - j**3*r - 63*j**2*r*v + j**2*r - 2*v wrt r.
20*j**3*v + 264*j**3
Find the second derivative of 164*h**3 - 253*h**2 - 533*h + 37 wrt h.
984*h - 506
Differentiate -141*a*b*o + 7*a*b*t + 330685*a*o*t - 2*a*o + b*o*t + 33*b wrt b.
-141*a*o + 7*a*t + o*t + 33
What is the third derivative of -3*d**2*h**3*v**2 + 4*d**2*h*v**2 - 5*d**2*v**3 - 3*d**2*v**2 + 106*d*h**3*v**3 + h**3*v**3 + 2*h**3*v**2 - 9*h**3*v wrt v?
-30*d**2 + 636*d*h**3 + 6*h**3
What is the first derivative of 524027*m**2 + 3483785?
1048054*m
Differentiate 3096*k**4 - 3*k + 19286 wrt k.
12384*k**3 - 3
What is the first derivative of 10646*p**4 - 10*p**3 - 157327?
42584*p**3 - 30*p**2
Find the third derivative of 3*h**5 + 5457*h**4 - h**2 + 16692*h.
180*h**2 + 130968*h
Find the third derivative of 64*g**5*x**3 + 373*g**3*x**3 - 3*g**2*x**3 - 34*g**2*x**2 + 578*g*x**3 wrt g.
3840*g**2*x**3 + 2238*x**3
Find the first derivative of -38*d**3 + 78*d*s - 18285*s wrt d.
-114*d**2 + 78*s
What is the third derivative of -c**5 - 31*c**4 + 604*c**3 + 4*c**2 + 3117?
-60*c**2 - 744*c + 3624
What is the second derivative of d**2*k*r - 2*d**2*r**2 + 2*d**2 - 374786*d*k*r**2 - 14*d*k*r + 3*d*k + 8*d*r - 21*k wrt r?
-4*d**2 - 749572*d*k
Find the first derivative of -12319*x**3 + 5037.
-36957*x**2
Find the second derivative of 2*x**5 + 35*x**3 + 13*x**2 - 505*x + 4 wrt x.
40*x**3 + 210*x + 26
What is the first derivative of 2082488*j**2*m*q - 953*j**2*m - 2*j*m*q - 2241*j*m wrt q?
2082488*j**2*m - 2*j*m
Find the third derivative of -10227*w**6 - 3*w**5 + 3*w**3 + 41973*w**2 - w wrt w.
-1227240*w**3 - 180*w**2 + 18
Find the first derivative of 3620*m**3 + 57079.
10860*m**2
Find the third derivative of 574*v**6 - 28*v**3 + 3*v**2 - 248*v + 7.
68880*v**3 - 168
Differentiate -2432*c**3*r - 6*c**2*r + 301912*r - 2 wrt c.
-7296*c**2*r - 12*c*r
Find the second derivative of 1061262*g**3*w**2 - 1872162*g**3*w wrt w.
2122524*g**3
Find the third derivative of -2*h*y**4 - 2071*h*y**3 + 36*h + 31*y**3 - 5824*y**2 wrt y.
-48*h*y - 12426*h + 186
What is the third derivative of 67361*m**3 + 17*m**2 - 4244*m wrt m?
404166
Differentiate -n**2 - 254075*n + 415052 with respect to n.
-2*n - 254075
What is the second derivative of -i**2*x**2 + 3*i**2 - 33*i*x**2 - 6012*i*
|
{
"pile_set_name": "DM Mathematics"
}
|
3039
What is the o'th term of -194572, -389150, -583728, -778306?
-194578*o + 6
What is the m'th term of -33500, -266291, -898144, -2128589, -4157156, -7183375, -11406776?
-33255*m**3 - m**2 - 3*m - 241
What is the j'th term of -7346724, -14693452, -22040184, -29386920?
-2*j**2 - 7346722*j
What is the x'th term of 3067471, 6134939, 9202407, 12269875, 15337343, 18404811?
3067468*x + 3
What is the o'th term of -269796, -269764, -269732, -269700, -269668?
32*o - 269828
What is the f'th term of 20004, 19953, 19906, 19857, 19800, 19729?
-f**3 + 8*f**2 - 68*f + 20065
What is the n'th term of -26482, -26472, -26454, -26428, -26394, -26352?
4*n**2 - 2*n - 26484
What is the x'th term of 19347, 77308, 173917, 309180, 483103, 695692, 946953, 1236892?
x**3 + 19318*x**2 + 28
What is the j'th term of 4144, 16940, 38304, 68236, 106736, 153804, 209440?
4284*j**2 - 56*j - 84
What is the s'th term of 362814, 362818, 362842, 362898, 362998?
2*s**3 - 2*s**2 - 4*s + 362818
What is the v'th term of 230781, 461374, 691963, 922548?
-2*v**2 + 230599*v + 184
What is the v'th term of -8722036, -8722040, -8722044, -8722048, -8722052?
-4*v - 8722032
What is the r'th term of -311808, -623245, -934692, -1246155, -1557640, -1869153, -2180700?
-r**3 + r**2 - 311433*r - 375
What is the c'th term of 5599, 21773, 48517, 85831, 133715?
5285*c**2 + 319*c - 5
What is the c'th term of -1534499, -1534516, -1534557, -1534634, -1534759, -1534944?
-2*c**3 - 3*c - 1534494
What is the j'th term of -686798, -686743, -686688, -686633, -686578, -686523?
55*j - 686853
What is the s'th term of -65468720, -130937435, -196406148, -261874859, -327343568, -392812275?
s**2 - 65468718*s - 3
What is the k'th term of -39792, -158296, -355800, -632298, -987784?
k**3 - 39506*k**2 + 7*k - 294
What is the o'th term of -33647, -33682, -33743, -33830, -33943?
-13*o**2 + 4*o - 33638
What is the d'th term of -10332, -39184, -87270, -154590, -241144?
-9617*d**2 - d - 714
What is the m'th term of -97906, -392924, -884620, -1572994, -2458046, -3539776?
-98339*m**2 - m + 434
What is the i'th term of 408, 3072, 5738, 8406?
i**2 + 2661*i - 2254
What is the n'th term of -2805, -22416, -75625, -179232, -350037, -604840, -960441?
-2800*n**3 + n**2 - 14*n + 8
What is the g'th term of -2165, -2067, -1841, -1433, -789, 145?
9*g**3 + 10*g**2 + 5*g - 2189
What is the h'th term of -9946, -24426, -38906?
-14480*h + 4534
What is the o'th term of 1996, 3314, 4632, 5950?
1318*o + 678
What is the p'th term of -1696622, -3393216, -5089816, -6786422, -8483034?
-3*p**2 - 1696585*p - 34
What is the i'th term of -536, 653, 1842, 3031, 4220?
1189*i - 1725
What is the z'th term of 2872662, 2872645, 2872594, 2872491, 2872318?
-3*z**3 + z**2 + z + 2872663
What is the u'th term of 1903, 1880, 1861, 1846, 1835, 1828?
2*u**2 - 29*u + 1930
What is the m'th term of 2888, 1339, -1220, -4771, -9296, -14777, -21196, -28535?
3*m**3 - 523*m**2 - m + 3409
What is the w'th term of 29442847, 58885704, 88328563, 117771424, 147214287, 176657152?
w**2 + 29442854*w - 8
What is the w'th term of 2417, 3798, 5033, 6116, 7041?
-w**3 - 67*w**2 + 1589*w + 896
What is the j'th term of -109402, -218793, -328188, -437593, -547014, -656457, -765928, -875433?
-j**3 + 4*j**2 - 109396*j - 9
What is the v'th term of 3067915, 3068012, 3068173, 3068398, 3068687, 3069040?
32*v**2 + v + 3067882
What is the c'th term of -8876, -18047, -27218, -36389?
-9171*c + 295
What is the j'th term of 1070216, 4280850, 9631900, 17123360, 26755224, 38527486, 52440140?
-j**3 + 1070214*j**2 - j + 4
What is the j'th term of 326, 2243, 5424, 9869?
632*j**2 + 21*j - 327
What is the h'th term of 56765, 113551, 170337?
56786*h - 21
What is the q'th term of 555, 1255, 2285, 3645, 5335, 7355?
165*q**2 + 205*q + 185
What is the i'th term of -16231, -16213, -16199, -16189, -16183, -16181?
-2*i**2 + 24*i - 16253
What is the o'th term of -3562, -3730, -4178, -5044, -6466?
-23*o**3 - 2*o**2 - o - 3536
What is the y'th term of 415938, 415937, 415940, 415947, 415958?
2*y**2 - 7*y + 415943
What is the j'th term of 4542, 18314, 41300, 73494, 114890, 165482, 225264, 294230?
-j**3 + 4613*j**2 - 60*j - 10
What is the q'th term of 79315, 158394, 237471, 316546?
-q**2 + 79082*q + 234
What is the j'th term of 67533, 539769, 1821657, 4318023, 8433693, 14573493, 23142249, 34544787?
67471*j**3 - 61*j + 123
What is the d'th term of -63956, -127843, -191562, -255029, -318160, -380871, -443078?
14*d**3 - 63985*d + 15
What is the x'th term of -3298234, -6596448, -9894662, -13192876, -16491090, -19789304?
-3298214*x - 20
What is the i'th term of -21, 165, 705, 1761, 3495, 6069, 9645?
27*i**3 + 15*i**2 - 48*i - 15
What is the c'th term of -646639, -1293292, -1939959, -2586640, -3233335, -3880044, -4526767?
-7*c**2 - 646632*c
What is the s'th term of -1496, -4145, -8614, -14903, -23012?
-910*s**2 + 81*s - 667
What is the a'th term of -197216254, -394432511, -591648768?
-197216257*a + 3
What is the y'th term of 115566573, 115566570, 115566565, 115566558, 115566549, 115566538, 115566525?
-y**2 + 115566574
What is the d'th term of -54328, -108665, -163002, -217339, -271676?
-54337*d + 9
What is the f'th term of -25451, -25851, -26203, -26483, -26667, -26731, -26651?
4*f**3 - 428*f - 25027
What is the d'th term of -883262, -883263, -883264, -883265?
-d - 883261
What is the i'th term of 10641, 42577, 95801, 170307, 266089?
-i**3 + 10650*i**2 - 7*i - 1
What is the a'th term of -86826, -87345, -87864, -88383, -88902, -89421?
-519*a - 86307
What is the p'th term of -23001, -45960, -68881, -91758, -114585, -137356, -160065?
p**3 + 13*p**2 - 23005*p - 10
What is the s'th term of 147810, 295794, 443778, 591762, 739746?
147984*s - 174
What is the m'th term of 86508, 87833, 89170, 90525, 91904, 93313, 94758?
m**3 + 1318*m + 85189
What is the g'th term of -97913, -392410, -883237, -1570394, -2453881?
-98165*g**2 - 2*g + 254
What is the g'th term of -12890, -12820, -12728, -12602, -12430, -12200, -11900?
2*g**3 - g**2 + 59*g - 12950
What is the v'th term of 195, 172, -33, -456, -1133?
-6*v**3 - 55*v**2 + 184*v + 72
What is the g'th term of -345, -1424, -3275, -5946, -9485, -13940, -19359?
-8*g**3 - 338*g**2 - 9*g + 10
What is the h'th term of -80478, -80448, -80420, -80394, -80370?
-h**2 + 33*h - 80510
What is the q'th term of -3289594, -3289600, -3289606, -3289612, -3289618, -3289624?
-6*q - 3289588
What is the m'th term of 9648575, 9648577, 9648579, 9648581, 9648583?
2*m + 9648573
What is the i'th term of 1575185, 1575189, 1575193?
4*i + 1575181
What is the c'th term of -17303, -17506, -17845, -18320, -18931, -19678?
-68*c**2 + c - 17236
What is the h'th term of 37579050, 37579047, 37579044, 37579041?
-3*h + 37579053
What is the r'th term of 15525718, 15525716, 15525714, 15525712, 15525710, 15525708?
-2*r + 15525720
What is the q'th term of -70044, -140217, -210390, -280563, -350736, -420909?
-70173*q + 129
What is the x'th term of -2635, -6277, -10933, -16603, -23287?
-507*x**2 - 2121*x - 7
What is the q'th term of -1688, -3221, -4394, -5027, -4940, -3953, -1886?
30*q**3 - 1743*q + 25
What is the b'th term of 105241, 211056, 316873, 422692, 528513, 634336, 740161?
b**2 + 105812*b - 572
What is the h'th term of 760, 2261, 4784, 8347, 12968, 18665, 25456, 33359?
3*h**3 + 493*h**2 + h + 263
What is the n'th term of -48218, -96106, -143994, -191882?
-47888*n - 330
What is the u'th term of 7735, 13265, 18819, 24409, 30047?
2*u**3 + 5516*u + 2217
What is the r'th term of -4138221, -4138219, -4138217, -4138215, -4138213, -4138211?
2*r - 4138223
What is the q'th term of -30563, -39838, -49113, -58388, -67663?
-9275*q - 21288
What is the i'th term of 119054, 119116, 119178?
62*i + 118992
What is the g'th term of 45, -76, -645, -1662, -3127?
-224*g**2 + 551*g - 282
What is the g'th term of 3771, 15174, 34181, 60792, 95007, 136826, 186249?
3802*g**2 - 3*g - 28
What is the z'th term of -1352833, -1352968, -1353103, -1353238, -1353373?
-135*z - 1352698
What is the c'th term of 38146771, 38146769, 38146765, 38146759, 38146751, 38146741, 38146729?
-c**2 + c + 38146771
What is the a'th term of -5502765, -5502745, -5502697, -5502609, -5502469, -5502265, -5501985, -5501617?
2*a**3 + 2*a**2 - 5502769
What is the q'th term of 1717, 9908, 23559, 4
|
{
"pile_set_name": "DM Mathematics"
}
|
four letters picked without replacement from qjjqpqjqjbjqjjjq?
2/65
What is prob of picking 1 p and 2 c when three letters picked without replacement from {c: 2, p: 8, r: 5}?
8/455
Three letters picked without replacement from {n: 2, w: 1, k: 1, g: 4}. What is prob of picking 2 g and 1 n?
3/14
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from flafflakallaaflall.
8/51
What is prob of picking 2 l when two letters picked without replacement from nnnnnnnnnlnnnlnnnnn?
1/171
Two letters picked without replacement from rpnrjvrjrjrrrnjn. Give prob of picking 1 p and 1 j.
1/30
Two letters picked without replacement from {t: 4, q: 1, y: 4, x: 2, h: 1, p: 2}. Give prob of picking 1 x and 1 t.
8/91
Calculate prob of picking 3 x when three letters picked without replacement from {m: 5, x: 8}.
28/143
Calculate prob of picking 4 q when four letters picked without replacement from {z: 1, q: 6, m: 4, r: 1, j: 4}.
3/364
Calculate prob of picking 1 q, 1 p, and 1 w when three letters picked without replacement from {c: 1, u: 5, p: 5, w: 1, m: 2, q: 1}.
1/91
What is prob of picking 1 a and 1 r when two letters picked without replacement from raaaaaaaar?
16/45
Calculate prob of picking 1 k and 2 o when three letters picked without replacement from ptkptypppoto.
1/220
Two letters picked without replacement from {g: 1, j: 1, d: 3, k: 1, h: 1}. What is prob of picking 1 k and 1 g?
1/21
Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, q: 2, v: 1, r: 1}.
1/7
Three letters picked without replacement from {p: 3, d: 3, k: 5}. Give prob of picking 2 d and 1 p.
3/55
Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {h: 2, j: 7, x: 1, f: 3, s: 4}.
3/34
Four letters picked without replacement from whowoohwoo. Give prob of picking 3 o and 1 h.
2/21
What is prob of picking 1 z and 1 l when two letters picked without replacement from {l: 1, x: 2, z: 1}?
1/6
Two letters picked without replacement from {g: 10, v: 1, y: 2, d: 1, l: 2}. Give prob of picking 1 y and 1 l.
1/30
Two letters picked without replacement from {y: 2, z: 1}. What is prob of picking 1 y and 1 z?
2/3
Three letters picked without replacement from exnxxxxneenexx. Give prob of picking 1 e and 2 n.
3/91
Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {v: 5, a: 1, z: 5, t: 4, d: 1}.
1/30
Three letters picked without replacement from ccvccmmccmccmc. Give prob of picking 1 m, 1 c, and 1 v.
9/91
What is prob of picking 2 f and 2 c when four letters picked without replacement from {c: 12, f: 7}?
231/646
What is prob of picking 3 e and 1 w when four letters picked without replacement from {e: 5, w: 1, u: 3}?
5/63
What is prob of picking 1 b and 1 i when two letters picked without replacement from {d: 7, q: 1, e: 4, i: 2, b: 4}?
8/153
Calculate prob of picking 1 f and 1 c when two letters picked without replacement from fwgfxgxc.
1/14
What is prob of picking 2 d when two letters picked without replacement from vvvvdrxxdvdvvdvd?
1/12
Four letters picked without replacement from {u: 5, m: 11}. What is prob of picking 4 m?
33/182
Four letters picked without replacement from ggxggggxg. What is prob of picking 2 g and 2 x?
1/6
Four letters picked without replacement from {l: 4, q: 2, k: 1, n: 7, v: 1, w: 5}. What is prob of picking 1 k, 2 l, and 1 q?
4/1615
Four letters picked without replacement from {j: 6, n: 6, l: 3}. Give prob of picking 4 l.
0
Three letters picked without replacement from fofffoo. Give prob of picking 3 o.
1/35
What is prob of picking 3 f when three letters picked without replacement from fnffffnn?
5/28
Three letters picked without replacement from {d: 3, x: 1, s: 2, t: 3, n: 1}. What is prob of picking 1 d, 1 n, and 1 x?
1/40
Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {y: 1, d: 1, q: 3}.
1/10
Three letters picked without replacement from {p: 7, q: 7, e: 2, v: 3}. Give prob of picking 1 q and 2 p.
49/323
Three letters picked without replacement from ejlbobjbllolblbj. Give prob of picking 1 b and 2 o.
1/112
Four letters picked without replacement from {o: 1, b: 2, j: 1, g: 2, f: 1}. What is prob of picking 1 o, 1 j, and 2 g?
1/35
Four letters picked without replacement from hzyyyztyzzggqyq. Give prob of picking 1 h, 2 q, and 1 z.
4/1365
What is prob of picking 1 p and 2 w when three letters picked without replacement from {p: 1, y: 1, w: 3}?
3/10
Two letters picked without replacement from {v: 1, h: 2, r: 1, e: 2, s: 2}. What is prob of picking 1 r and 1 h?
1/14
Calculate prob of picking 3 w and 1 v when four letters picked without replacement from aaacawaaccauawawwcva.
4/4845
Three letters picked without replacement from {u: 6, m: 1, c: 1, b: 1}. Give prob of picking 3 u.
5/21
Calculate prob of picking 2 t and 1 w when three letters picked without replacement from wwwtwwwwtw.
1/15
Four letters picked without replacement from jjjjjdjjjjdjjjjdjd. What is prob of picking 3 j and 1 d?
364/765
Three letters picked without replacement from {c: 7, s: 4, i: 4}. Give prob of picking 1 i and 2 s.
24/455
Four letters picked without replacement from rlarallrlrrrl. Give prob of picking 1 a, 2 r, and 1 l.
30/143
Two letters picked without replacement from {k: 4, u: 1, x: 2, s: 7}. What is prob of picking 1 x and 1 s?
2/13
Four letters picked without replacement from {o: 6, m: 4}. What is prob of picking 4 m?
1/210
Calculate prob of picking 3 z when three letters picked without replacement from {z: 1, e: 4, f: 2, a: 3}.
0
Four letters picked without replacement from {y: 3, v: 3}. Give prob of picking 2 y and 2 v.
3/5
Two letters picked without replacement from {h: 9, w: 1, g: 3, i: 1}. What is prob of picking 1 h and 1 w?
9/91
What is prob of picking 2 e and 2 t when four letters picked without replacement from zzbeettztzluzez?
3/455
What is prob of picking 1 e, 1 u, and 2 w when four letters picked without replacement from {e: 2, w: 4, z: 3, u: 1, o: 1}?
2/55
Three letters picked without replacement from vbecescssssvscsc. What is prob of picking 3 s?
1/16
Two letters picked without replacement from {q: 1, j: 6, n: 5, z: 1, i: 2, d: 1}. What is prob of picking 1 q and 1 z?
1/120
Two letters picked without replacement from eeheehe. What is prob of picking 2 h?
1/21
Calculate prob of picking 1 m, 1 a, 1 f, and 1 t when four letters picked without replacement from mtgftaammftfgrfr.
18/455
Calculate prob of picking 1 k and 2 c when three letters picked without replacement from cdbfbck.
1/35
Two letters picked without replacement from bjuijijxxxa. What is prob of picking 1 x and 1 i?
6/55
Calculate prob of picking 2 p when two letters picked without replacement from uuppupuuppppupuuuupp.
9/38
What is prob of picking 1 m and 1 h when two letters picked without replacement from ohottthtohtm?
1/22
Four letters picked without replacement from ppnnppppnppnpnnpnnpn. Give prob of picking 4 n.
42/1615
Three letters picked without replacement from {l: 6, w: 12, k: 1}. What is prob of picking 1 w, 1 l, and 1 k?
24/323
Two letters picked without replacement from {f: 2, h: 4, e: 5}. What is prob of picking 2 e?
2/11
Calculate prob of picking 1 o and 1 c when two letters picked without replacement from iciiictciioi.
1/22
Two letters picked without replacement from rvvvr. Give prob of picking 1 r and 1 v.
3/5
Two letters picked without replacement from {i: 2, j: 1, w: 1, d: 1, v: 2}. Give prob of picking 1 w and 1 i.
2/21
Two letters picked without replacement from pptpmeppe. Give prob of picking 2 p.
5/18
Two letters picked without replacement from upuppupuuupuplu. What is prob of picking 1 p and 1 u?
16/35
Calculate prob of picking 1 n, 1 u, and 2 j when four letters picked without replacement from wqjqqunnqnnqnnunqj.
7/1530
What is prob of picking 2 w when two letters picked without replacement from pppguwypuwuuuy?
1/91
Two letters picked without replacement from igggigiiigiiigsii. What is prob of picking 1 i and 1 g?
15/34
What is prob of picking 4 w when four letters picked without replacement from jjwwww?
1/15
What is prob of picking 1 q, 1 p, and 1 x when three letters picked without replacement from xxqpppnxpnppxnn?
24/455
Three letters
|
{
"pile_set_name": "DM Mathematics"
}
|
rob of sequence sgo.
1/570
Calculate prob of sequence ff when two letters picked without replacement from fffifffffifff.
55/78
Two letters picked without replacement from {d: 4, u: 2, a: 10, r: 1}. Give prob of sequence dr.
1/68
Calculate prob of sequence zrs when three letters picked without replacement from {r: 3, z: 4, v: 2, s: 1, y: 2}.
1/110
What is prob of sequence hv when two letters picked without replacement from hhdvv?
1/5
Four letters picked without replacement from tuhyhsvy. What is prob of sequence tusy?
1/840
Calculate prob of sequence qp when two letters picked without replacement from qppppnqnqpqppppp.
1/6
Calculate prob of sequence baa when three letters picked without replacement from abaabbbbbbbbabbaab.
5/68
Calculate prob of sequence gggg when four letters picked without replacement from {m: 10, g: 4}.
1/1001
Calculate prob of sequence wlw when three letters picked without replacement from wwl.
1/3
Calculate prob of sequence xpp when three letters picked without replacement from {p: 4, x: 3}.
6/35
What is prob of sequence hhh when three letters picked without replacement from {h: 11, g: 5}?
33/112
Calculate prob of sequence nun when three letters picked without replacement from nnunzuununynnnnnuuu.
35/323
What is prob of sequence rrx when three letters picked without replacement from wwrwxwwwwwwwwwv?
0
Calculate prob of sequence wwi when three letters picked without replacement from {g: 2, i: 2, w: 4}.
1/14
Three letters picked without replacement from elllellllllellllle. Give prob of sequence ell.
91/612
Four letters picked without replacement from {j: 5, k: 11, i: 1}. What is prob of sequence jikk?
55/5712
Calculate prob of sequence sw when two letters picked without replacement from {w: 4, l: 2, i: 2, s: 5}.
5/39
Calculate prob of sequence krr when three letters picked without replacement from {k: 5, r: 2}.
1/21
What is prob of sequence bqb when three letters picked without replacement from {b: 3, q: 17}?
17/1140
What is prob of sequence nnl when three letters picked without replacement from nln?
1/3
Three letters picked without replacement from {x: 1, l: 7, v: 6, o: 3}. What is prob of sequence vxv?
1/136
What is prob of sequence mmnv when four letters picked without replacement from {m: 13, v: 1, n: 3}?
39/4760
Three letters picked without replacement from {b: 8, h: 5, a: 3}. What is prob of sequence aaa?
1/560
Two letters picked without replacement from nzzzzznnm. What is prob of sequence zm?
5/72
Two letters picked without replacement from {n: 1, b: 3, u: 1, d: 1, g: 1, s: 6}. Give prob of sequence gb.
1/52
Three letters picked without replacement from yyxyyxuvyyyxuu. Give prob of sequence uxu.
3/364
Three letters picked without replacement from ttittyqtqqiyttyttqy. Give prob of sequence qtq.
6/323
Calculate prob of sequence vv when two letters picked without replacement from evevl.
1/10
Four letters picked without replacement from {d: 9, v: 11}. Give prob of sequence ddvd.
77/1615
Calculate prob of sequence vvv when three letters picked without replacement from {v: 3}.
1
Two letters picked without replacement from {g: 2, m: 3, d: 5}. Give prob of sequence md.
1/6
Two letters picked without replacement from uuuujjuuuuuu. Give prob of sequence uj.
5/33
Three letters picked without replacement from {l: 1, o: 3, e: 3, f: 1, g: 2, v: 1}. What is prob of sequence gvg?
1/495
Calculate prob of sequence xxux when four letters picked without replacement from {u: 12, x: 3}.
1/455
Four letters picked without replacement from {u: 4, f: 2, x: 4, m: 2, v: 6, r: 1}. What is prob of sequence rfvu?
1/1938
Calculate prob of sequence pm when two letters picked without replacement from pmpmpmp.
2/7
Calculate prob of sequence aaya when four letters picked without replacement from {y: 6, a: 13}.
143/1292
Calculate prob of sequence osc when three letters picked without replacement from sssvojcjsvj.
2/495
Four letters picked without replacement from qhhhhhhhdhhhdhqhqhdd. What is prob of sequence hqhd?
26/1615
Calculate prob of sequence rbzk when four letters picked without replacement from ceecbkekcrbkczb.
1/3640
What is prob of sequence gg when two letters picked without replacement from {v: 1, g: 4, e: 8}?
1/13
What is prob of sequence mv when two letters picked without replacement from mixmvimxiximxmz?
1/42
Calculate prob of sequence gw when two letters picked without replacement from wdwwwwwwdwgdddwwgd.
10/153
Two letters picked without replacement from {m: 4, p: 2, i: 3}. Give prob of sequence mm.
1/6
Calculate prob of sequence qpq when three letters picked without replacement from qxpxqpqxx.
1/42
Calculate prob of sequence hyyh when four letters picked without replacement from hhhyhhhhyhhhhhhhhhh.
1/171
What is prob of sequence td when two letters picked without replacement from {t: 5, d: 3, v: 3}?
3/22
What is prob of sequence glw when three letters picked without replacement from {g: 3, w: 1, l: 1}?
1/20
Four letters picked without replacement from eeeeeedded. Give prob of sequence dedd.
1/120
What is prob of sequence vi when two letters picked without replacement from lllllivilllvilvllvll?
3/95
Calculate prob of sequence yy when two letters picked without replacement from {r: 1, y: 5, g: 3, l: 6, s: 1, o: 3}.
10/171
What is prob of sequence ccs when three letters picked without replacement from {j: 2, s: 1, h: 6, c: 2}?
1/495
Calculate prob of sequence lkkl when four letters picked without replacement from {l: 2, k: 4, y: 8, r: 2}.
1/1820
Four letters picked without replacement from {c: 1, s: 1, d: 1, f: 2, e: 3, u: 3}. What is prob of sequence efuu?
1/220
Four letters picked without replacement from {k: 1, x: 1, z: 8, y: 6, q: 2}. Give prob of sequence yqqk.
1/6120
What is prob of sequence ddn when three letters picked without replacement from dvndd?
1/10
Three letters picked without replacement from {l: 1, z: 2}. What is prob of sequence zlz?
1/3
Three letters picked without replacement from {l: 4, b: 3, x: 2, u: 1, j: 3, c: 3}. What is prob of sequence lcu?
1/280
Four letters picked without replacement from jkjalkjcaakka. Give prob of sequence kjlc.
1/1430
What is prob of sequence vyvv when four letters picked without replacement from {v: 8, y: 3}?
7/55
Four letters picked without replacement from exxeeepteeteeekex. Give prob of sequence xket.
1/952
Two letters picked without replacement from {g: 1, h: 11, m: 2, x: 3, j: 2}. Give prob of sequence mx.
1/57
Two letters picked without replacement from {c: 4, r: 7, q: 3}. Give prob of sequence qr.
3/26
Calculate prob of sequence mm when two letters picked without replacement from {m: 4, a: 1, t: 4, d: 7, o: 1}.
3/68
Calculate prob of sequence rqlq when four letters picked without replacement from rlpdtlqqd.
1/756
Four letters picked without replacement from hhhxhxxhhxhhxh. Give prob of sequence xhhh.
15/143
Three letters picked without replacement from fuqffzfqzzzzzzfvf. Give prob of sequence zuz.
7/680
Calculate prob of sequence mmrr when four letters picked without replacement from rmmmrmrrmrmrm.
21/286
What is prob of sequence dnd when three letters picked without replacement from cybncnnddncnndnnd?
2/85
Three letters picked without replacement from {s: 7, e: 9}. What is prob of sequence see?
3/20
What is prob of sequence uy when two letters picked without replacement from {s: 6, y: 3, u: 6}?
3/35
Four letters picked without replacement from {q: 6, y: 1, a: 3, x: 6, p: 2, g: 2}. Give prob of sequence xyqx.
1/646
What is prob of sequence ff when two letters picked without replacement from {z: 9, f: 10}?
5/19
Three letters picked without replacement from {p: 1, s: 2, d: 1, n: 1, x: 1, w: 2}. What is prob of sequence wpn?
1/168
Calculate prob of sequence ijf when three letters picked without replacement from mxliimfjfmimiml.
4/1365
Three letters picked without replacement from {u: 2, o: 5}. What is prob of sequence ouu?
1/21
What is prob of sequence nr when two letters picked without replacement from {r: 1, n: 13, x: 1, i: 2}?
13/272
Three letters picked without replacement from pnnpnpnppnnkpnn. Give prob of sequence pnn.
8/65
What is prob of sequence tz when two letters picked without replacement from ztkz?
1/6
Two letters picked without replacement from {t: 8, x: 5, o: 1, v:
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 + 0 - 3 + 3 - 5 + 0 + 1 + 1)*(2*x**2 - x**2 + 2*x**2).
972*x**4
Expand 4 + x**4 + 1 - 3 + 29*x**4 - 27*x**4 + 59*x**4 - 16*x**3 + 16*x**3 + 18*x**4 + (-x**2 + 1 - 1)*(-3*x**2 + 4*x**2 - 3*x**2).
82*x**4 + 2
Expand ((-2 + 4 + 0)*(-k - 2*k + 5*k) + (-13 - 25 - 13)*(k - 3*k - 2*k))*(31 - 31 + 80*k).
16640*k**2
Expand (-4*g + 13*g + 2*g)*(-8 + 4 - 9)*(2 + 1 - 1) + (-5 + 2 + 2)*(-3 - g + 3) + 0*g + 5*g - 2*g.
-282*g
Expand -275*f**4 - 1740*f**2 + 1740*f**2 - 7*f + 7*f + 4*f**4 + (-2*f**2 - 2*f**2 + 2*f**2)*(-f**2 - 3*f**2 + 2*f**2).
-267*f**4
Expand (3*g - 5*g + 4*g)*(-5*g + 2*g + g) - 3*g**2 + 0*g**2 - g**2 - 1 + 1 + 3*g**2 + (-2*g + 0*g + 0*g)*(g + 5*g - 5*g)*(25 + 26 - 48).
-11*g**2
Expand (3153 - 3153 + 12*w)*(6*w**2 - 4*w**2 + 2*w**2) + 4*w**2 - w**3 - 4*w**2.
47*w**3
Expand (-4 + 19*a + 62*a - 79*a + 16*a**2)*(-25 + 3*a + 25).
48*a**3 + 6*a**2 - 12*a
Expand (-5*c - 6*c + 4*c)*(-29*c**2 + 22*c**2 + 23*c**2) + (-c**2 + 0*c**2 + 0*c**2)*(-4 + 4 + 2*c) - c**3 + 3 - 3 + 2*c**3 + c**2 - c**2.
-113*c**3
Expand (2*c - 2*c - c**2)*(55 - 10 + 45)*(-13*c**3 + 13*c - 13*c) - c**5 - 3*c**2 + 3*c**2.
1169*c**5
Expand (n - 3*n + 5*n + n + 3*n - 6*n + (2 - 3 - 1)*(-5*n - 3*n + 6*n) + (5*n - 10 + 10)*(26 - 3 + 12))*(-n + 3 - 3).
-180*n**2
Expand -5*s + 6*s + 9*s + (0*s - 2*s + 0*s)*(11 - 9 + 7).
-8*s
Expand (0*w + 4*w - 3*w)*(4*w + 2*w - 4*w)*(6*w**2 - 8*w**2 - 7*w**2)*(0 + 0 + 1).
-18*w**4
Expand (5*b + b**3 + 4*b - 3*b**3)*(39 + 10 + 11).
-120*b**3 + 540*b
Expand (-8 - 6*t + 8)*(-3*t - t + 3*t) + (-1 + 4 + 0)*(42*t - 9*t - 7*t)*(-3*t - t + t).
-228*t**2
Expand (-16*f + 8*f - 12*f)*(2*f - 3*f + 3*f)*((-2 + 2 + 4*f)*(1 + 1 - 4) - f + f - f).
360*f**3
Expand (-12 - 4 + 1)*(62*k**2 - 232271 + 232271).
-930*k**2
Expand -5*j**5 - j**2 + 1 + 3*j**5 - 3 + (1 - 1 + 4*j**2)*(-5*j**3 + 10*j**3 - 7*j**3).
-10*j**5 - j**2 - 2
Expand (-10*u - 9*u - 234*u - 2)*(2 - 7 - 2).
1771*u + 14
Expand 2891 - 2891 + 132*y**3 + (-1 + 1 + 2*y)*(5*y**2 + 13*y**2 - 27*y**2) + (2 + 3 - 6)*(-3*y - 2*y**3 + 3*y).
116*y**3
Expand -4*a**5 + 3*a**5 + 3*a**5 + (11*a + 2*a - 6*a)*(4*a**2 - 4*a**2 - a**2)*(18*a**2 - 6*a**2 - 71*a**2).
415*a**5
Expand (2 - 26*o - 2)*(4 - 1 - 1) + (0*o - 6*o + o)*(-4 + 4 + 3).
-67*o
Expand (-b + 53*b + 2*b)*(0 + 3 - 1)*(20 + 23 + 4) - 2*b + 0*b + 6*b.
5080*b
Expand (w**3 - w**3 + w**3)*(41 + 175 + 21).
237*w**3
Expand (17*k**2 + 740*k - 14*k**2 - 1548*k)*(-k**3 + 5*k**3 - 2*k**3).
6*k**5 - 1616*k**4
Expand (-20902*r**5 + 22919*r**5 + r**3 - r**3 + (r - 2*r + 3*r)*(-39*r**4 + 75*r**4 - 35*r**4))*(-4 - 1 + 3).
-4038*r**5
Expand 7238*n - 5*n**4 + 4*n**2 - 7238*n + 0 + 0 + n**4 - 2*n**4 - 3 + 3 + (-n**2 - n**2 + 0*n**2)*(6*n**2 - 7*n**2 + 4*n**2).
-12*n**4 + 4*n**2
Expand (2*n + 3 - 3)*(325*n + 2017 - 2017)*(-4 + 5 - 3).
-1300*n**2
Expand (-2*d - 19*d - 11*d)*(22*d - 4 + 0 - 14*d).
-256*d**2 + 128*d
Expand 2*j**4 - j**4 + 0*j**4 - 2*j**4 + 2*j**4 + 2*j**4 - 1057 + 1057 + 44*j**4 + (4*j**2 - 4*j**2 - 2*j**3)*(5*j - 4 + 4).
37*j**4
Expand -4*j + 4*j - 2*j**2 + (-4 + 4 + 2*j + 1 + (-99*j - 152*j - 17*j)*(-2 + 2 - 2))*(-j + 0*j - j).
-1078*j**2 - 2*j
Expand (7 - 9 + 19 + (-4 + 1 + 2)*(2 - 1 - 5) - 3 - 3 + 5)*(8*f**2 - f**5 + 3*f**4 + 1 - 8*f**2).
-20*f**5 + 60*f**4 + 20
Expand -b**5 - 12*b**3 - 6*b**5 + 5*b**5 + 3*b**4 + 3*b**5 - 3*b**4 + (-2*b**3 + 0*b**3 + 0*b**3)*(1 - 1 + b**2) + 0 + 6*b**5 + 0.
5*b**5 - 12*b**3
Expand (-1 + 0 - 11)*(-3 + 3 - 2*v + (-4 - 2 + 4)*(-2*v + 2*v - 2*v) - v + 7 + 2*v - 4)*(-153 - 87 + 314).
-2664*v - 2664
Expand (30 + 85*j - 30)*(-j**3 + 5*j**3 - 3*j**3) - 190 + 190 - 45*j**4.
40*j**4
Expand (-b + b - 2*b)*(-10*b - 143 - 135*b + 122*b).
46*b**2 + 286*b
Expand (39 - 11 + 4)*(7*t - 7*t - 12*t) + 1 - 1 - t.
-385*t
Expand -2*x**3 + x**3 + 0*x**3 - 2*x**3 + 6*x**3 - 2*x**3 + (75*x - 516 + 516)*(2*x**2 - 2*x + 2*x) + x**3 + x - x.
152*x**3
Expand (5 + 7 - 4)*(-63 + 190 - 123*s - 67 - 62).
-984*s - 16
Expand z**2 - z**4 - 2*z**2 - 2*z**4 - 1110*z**4 + 1134*z**4 + 2*z**3 - 151*z + 146*z + (-3*z - 2*z**4 + 3*z)*(5 - 3 - 3).
23*z**4 + 2*z**3 - z**2 - 5*z
Expand (0 + 1 - 3)*(-4547 + 8958 - 8*b - 4469).
16*b + 116
Expand (1652 + 1670 - 957 + 677)*(-3*m + 3*m**2 + 3*m).
9126*m**2
Expand (g - 3*g + g)*(-1336 + 1336 - 307*g).
307*g**2
Expand (-2*j + 9*j + 5*j)*(37 + 435 - 39).
5196*j
Expand (m**2 + 0*m**2 - 2*m**2)*(-4 - 7*m + 2 + 3 + (2 - 12 + 5)*(-2*m + 0*m + 3*m)).
12*m**3 - m**2
Expand (5 - 3 + 0 + (0 - 4 + 3)*(-2 + 0 + 0) - 5 + 6 + 0 - 3 - 1 + 3)*(-i + 645*i + 243*i).
3548*i
Expand (q**3 + 6*q**3 - 2*q**3)*(5279 + 777 - 1071 - 1165 + 2803).
33115*q**3
Expand (6 - 6 + l**3)*((0 + 0 - l**2)*(6 - 9 + 102) - 2*l**2 - 2 + 2).
-101*l**5
Expand (142 + 11 + 87)*(2 + 2*f**4 - 2 + (3*f + 2*f - f)*(-6 + 5*f**3 + 6)).
5280*f**4
Expand t**5 - 3*t**2 + 3*t**2 + (t + 4*t - 6*t)*(2*t**3 + 2*t**4 - 2*t**3) - 3*t + 3*t - t**5 - 258568*t**2 + 427*t**5 + 258568*t**2.
425*t**5
Expand (8 + 2 - 3)*(-r - 2*r + 5*r) + ((-1 + 0 + 0)*(-2*r + 3 - 3) - 4 - 142*r + 10 - 7)*(-5 + 2 + 1).
294*r + 2
Expand -7*g**5 - 4*g**5 + 3*g**5 + (-4*g**4 + 3*g**4 - g**4)*(-2*g - g + 4*g)*(2 - 1 + 3).
-16*g**5
Expand (-3 + 4 - 2)*(1092*x - 1302*x + 882*x)*(-2 + 6 - 2)*(-3*x**2 - 2*x**2 + 6*x**2).
-1344*x**3
Expand (3*w**4 - 15*w**4 + 11*w**4)*(-w + 0*w - 4*w).
5*w**5
Expand (-1 + 1 + 3)*(4*f + 45 - 2*f - 43) + (2*f + f - 2*f)*(7 + 3 + 2).
18*f + 6
Expand -4 + 4 - q + ((3 + 1 - 5)*(-1 - 3 + 3) - 169 - 863 - 2636)*(-q + 1 + 0 - 4).
3666*q + 11001
Expand (10*d + 27*d + 15*d + 2*d)*((0*d - 2*d + 3*d)*(4*d + 2*d**2 - 4*d) - 3*d**3 + 3*d**3 - 3*d**3).
-54*d**4
Expand (3 + 0 + 2*n - 2)*(2*n - 55 + 183 - 393).
4*n**2 - 528*n - 265
Expand (-7 + 7 - 2*y**2 + (4*y - 4*y + y)*(2*y - 2*y - 2*y) + 8*y**2 + 0*y**2 - 10*y**2)*(-5*y + 3*y**2 + 5*y).
-18*y**4
Expand ((2 - 5 + 0)*(-11*n + 12*n - 53*n) - 7*n - n + n + 0*n - 2*n + n + (0 - 1 + 2)*(n + n - 3*n))*(-n - 2 + 2).
-147*n**2
Expand (-26 + 26 - 7*b**3)*(b + 0 + 0) - 3*b**3 - 21*b**4 + 11*b**4 + 18*b + 11*b**4 + (-2*b**4 + 0*b**4 + 0*b**4)*(2 - 3 + 3).
-10*b**4 - 3*b**3 + 18*b
Expand -x**3 + 2*x**2 + 4*x**3 - 4*x**3 + (5*x**2 - 2*x**2 - 2*x**2)*(1772 - 3489 - 6*x + 1780) + 3*x**2 - 3*x**2 - x**3 + (2*x**3 + x**3 - 2*x**3)*(3 + 1 - 6).
-10*x**3 + 65*x**2
Expand (18 - 13 - 26)*(49*f + 13 - 14 + 9*f).
-1218*f + 21
Expand (3*v**3 + 0*v + 0*v)*(12 + 9 - 1) + 0 + 35*v**3 + 1 + 7*v**2 - 33*v**3.
62*v**3 + 7*v**2 + 1
Expand (1 - 1 + 16*y**2)*(-3 + 6 + 5)*(53*y**2 - 52*y**2 + 4*y - 3*y).
128*y**4 + 128*y**3
Expand (-9683*g**2 - 6*g**4 - 60*g**3 + 9683*g**2 + g**4 + g**3 - g**3 + (-5 + 2 + 1)*(-3*g**4 + 3*g**4 + 2*g**4))*(1 + 2 - 5).
18*g**4 + 120*g**3
Expand b**2 - 5*b**2 + 2*b**2 + (b - 6*b - 8*b)*(-14 + 21 + 1)*(7 - 3 - 2)*(-3*b + 3*b - 2*b).
414*b**2
Expand u**2 - 2*u**3 - u**2 + (-2*u**2 + 3*u**2 + u**2)*(4*u - u - 4*u) + (15 - 19 + 140)*(-5*u**3 - 8*u**2 + 8*u**2).
-684*u**3
Expand (0*n**3 - n**3 - n**3)*(n + 1 - 1) + (-4 + 4 - 2*n**2)*(6*n**2 - 10*n**2 - 2*n**2)*(-89 + 1075 - 342 - 333).
3730*n**4
Expand ((-4 + 5 + 0)*(-5*g + 4*g - 2*g) - 66 - 2*g + 66)*(4*g + 0*g + 5*g).
-45*g**2
Expand 34*i**2 + 98*i**2 + 18*i**2 + (0 - 2 + 1)*(2*i**2 - 6*i**2 + 3*i**2).
151*i**2
Expand (-5*o + 1 - 1 + (3 + 2 - 6)*(3*o - 5*o + 4*o) - 2*o + o + 2*o - 2*o + o + 0*o - 2 + o + 2 + 3*o + 2*o - 3*o)*(-1762 + 376 - 2155 + 575).
11864*o
Expand 2*k + 1 - 1 + (3*k - 3*k + 2*k)*(1 - 2 - 1) + (10 + 0 - 1)*(0*k + 0*k - 2*k) - 28*k - 37*k + 13*k.
-72*k
Expand (1 + c - 1 + 3 - 3 - c + (2*c - 6*c + 2*c)*(1 + 0 + 0) - 2*c + 13*c + 20*c)*(-25*c + 9 - 13 + 4).
-725*c**2
Expand (2 - 2 + n + (4 - 2*n - 4)*(-19 - 20 - 11))*(8*n**2 - 14 + 14).
808*n**3
Expand (2*d - 2*d + 41*d)*(210*d**2 + 2*d + 16*d**2 + 75*d**2 - 117*d**2).
7544*d**3 + 82*d**2
Expand (2 - 7 - 7*x + 6)*(-11 + 11 - 4*x**2) - 18*x**3 + 10*x**3 - 17*x**3.
3*x**3 - 4*x**2
Expand (2 + 2 - 7)*(3*s**2 - 2*s**2 + s**2)*(-74517*s - 440*s**2 + 74517*s) + 2*s**4 - 4*s**4 + 3*s**4.
2641*s**4
Expand -3*u**5 - u**5 + 2*u**5 + (-253 + 83*u + 253 + 2*u**2)*(4 + 4*u - 4)*(-u + u - u**2).
-10*u**5 - 332*u**4
Expand (1 + 2*i**3 - 1)*(-2*i + i - i) - 3 + 2*i**4 + 3 + 8853*i**3 + 2797*i**4 - 8853*i**3 - 4 + i**4 + 3 + 4*i - 5*i.
2796*i**4 - i - 1
Expand -71*z**2 + 128*z**4 + 71*z**2 + (2 + 2*z**2 - 2)*(-z + z - z**2) - 2*z**4 + 18*z**3 - 18*z**
|
{
"pile_set_name": "DM Mathematics"
}
|
.
14
Let t(l) be the first derivative of 2*l**3 - 5*l**2/2 - 9*l - 9520. Calculate t(-2).
25
Suppose 4 = 3*w - w + 3*h, -w - 5*h = -2. Let s(t) be the first derivative of -5*t**3/3 + 2*t**2 - 3*t - 5240. Give s(w).
-15
Let o = 39 + 43. Let l(k) = 81*k**2 - o*k**2 + 2*k - 4 + 19*k**3 - 18*k**3. Calculate l(3).
20
Let b(l) = -9*l**3 + 16*l**3 + 15*l**2 - 15*l**2 - 1. Suppose 0 = 14*f - 10 - 4. Let v be f*((-3)/(-6) + -1)*2. Calculate b(v).
-8
Let m = -28383 + 28377. Let o(h) = -2 + 0 + 2 + 1 - 4*h. Calculate o(m).
25
Let u = 91112/42051 + -1/28034. Let g(d) be the third derivative of u*d**3 + 3/20*d**5 - 1/12*d**4 + 24*d**2 + 0 - 1/120*d**6 + 0*d. Determine g(9).
-5
Let q(y) be the second derivative of -y**3/6 - 8*y**2 - 25121*y. Let g be (-3)/(-4) + 46/(-8). What is q(g)?
-11
Suppose -u + 7*d = -2, 3*u - 4*d - 11 = -22. Let q(t) = -7*t - 19. What is q(u)?
16
Suppose -49 = 3*m - 2*i, i + 0 + 1 = 0. Let b(y) = -y**3 - 19*y**2 - 34*y + 7. Determine b(m).
7
Let c = 106 - -98. Let z = c + -195. Let b(r) = r**3 - 9*r**2 - 1. Give b(z).
-1
Let t(p) be the first derivative of p**4/4 - 7*p**3/3 + 11*p**2/2 - 2*p + 229. Let k be (-2 - 0)/(8/(-20)). What is t(k)?
3
Let o(v) = -5*v - 3. Let l be o(-3). Let k(j) be the first derivative of -j**4/4 + 4*j**3 + j**2 - 17*j + 48. Let i be k(l). Let z(h) = -2*h + 6. What is z(i)?
-8
Let d(p) = -42*p + 9*p + 33*p**2 - 27 + 4*p + 2*p**3 + 12*p - p. Give d(-17).
-10
Let r = -28 - -55. Suppose -r = -b - 23. Let c(s) = -4 + 2 + 8*s - 9*s + b. Determine c(7).
-5
Let n(f) = -f**2 - 21*f - 13. Let k(o) = -9*o - 272. Let x = -363 + 335. Let d be k(x). Calculate n(d).
7
Let d(u) = 6*u + 281*u**2 - 3 - 563*u**2 + 281*u**2. Suppose 0 = -3*p - 0*p. Let j = p + 4. What is d(j)?
5
Let l(a) be the first derivative of -a**4/4 + 11*a**3/3 - 14*a**2 + 27*a + 2721. Calculate l(8).
-5
Let l(h) = 15*h + 385. Let o be ((-57)/228)/(2/200). What is l(o)?
10
Let b(a) be the first derivative of -3*a**2/2 + 9*a - 13842. Let o be (2/14 + -1)*-7. What is b(o)?
-9
Suppose 44*z = 157*z + 452. Let t(j) = j**3 + 6*j**2 - j - 16. Calculate t(z).
20
Let z = 3453 + -3451. Let t(a) be the second derivative of 5*a + 0 + 1/3*a**3 + 5/2*a**z. Give t(-6).
-7
Suppose -23 = m - 597*i + 602*i, 35 = 5*m - 5*i. Let d(v) be the first derivative of -1/2*v**m + 2*v + 16. Give d(6).
-4
Let z(k) = -3*k**3 + 6*k**2 - 17*k**2 - 4 + 4*k - k - k + 14*k**2. Suppose 2*q - 5 = -o, -o = -q - 0*o + 1. What is z(q)?
-12
Let a(n) = n**3 + 3*n**2 - 14*n - 20. Let y be (4/2)/((-26)/65). Let k be a(y). Let d(x) = x**2 - x + 2. Calculate d(k).
2
Let b(v) = -1. Let k(d) = 12*d + 12. Let p(l) = -7*l - 5. Let f(h) = 4*k(h) + 7*p(h). Let c(r) = -5*b(r) - f(r). Give c(8).
0
Let k(r) be the third derivative of -r**6/12 - r**5/30 + r**4/12 + r**3/2 - 32*r**2. Let o be k(-1). Let w(m) = 64 - m - 28 - 30. Give w(o).
-3
Let w be 9/5 - 1/(-5). Let a(r) = 294 + 0*r - r**2 + w*r - 286. Give a(4).
0
Let s(t) = 16*t + 1. Let h = -34 - -47. Suppose 9*w - h = -4*w. What is s(w)?
17
Let i(b) be the third derivative of b**6/120 + 7*b**5/60 - 5*b**4/24 + 2*b**3/3 + 18*b**2 - 8*b. What is i(-5)?
79
Let x(i) be the second derivative of -1/6*i**3 + 1/2*i**2 + 28*i + 0. Let h(y) = y - 1. Let t be h(-4). Determine x(t).
6
Let f(d) = -d + 28. Let g(s) = -2*s + 27. Let u(y) = 5*f(y) - 5*g(y). What is u(-2)?
-5
Suppose -3*r - 3*r + 366 = 0. Let o(u) = 60*u - 2 + r*u - 118*u. What is o(2)?
4
Suppose -4*k - 49 + 65 = 0. Suppose 1 = i - k. Let p(a) = -a**2 + 5*a - 4. Determine p(i).
-4
Let a = -159 - -173. Let p(b) = 4 + 0 - 13*b + a*b. Determine p(-3).
1
Let r(p) = 40*p**3 - 4*p + 3. Let n(l) = -3*l**3. Let c(j) = -5*n(j) - r(j). What is c(1)?
-24
Let k(w) = -3*w - 3. Let c(n) = -9*n + 116. Let l be c(13). Let f be -11 - l - (-1 + -4). Give k(f).
12
Let s(v) = -110*v**3 + 11*v**2 + v - 17. Let t(f) = -63*f**3 + 6*f**2 + f - 9. Let w(u) = -4*s(u) + 7*t(u). Determine w(-2).
-1
Let a(b) = b**2 - 9*b + 10. Let q be a(9). Let u(g) = -5*g**3 + 2*g**2 + 8*g + 3. Let x(p) = -4*p**3 + 6*p + 4. Let h(v) = -5*u(v) + 6*x(v). Calculate h(q).
-31
Let h(u) = -11*u**2 + u + 6. Let p be h(7). Let j = p - -532. Let z(d) = -d**3 + 7*d**2 - 7*d + 5. What is z(j)?
-1
Let r(k) be the third derivative of k**6/60 + k**5/40 + k**4/12 - 64*k**3/3 - 19*k**2. Let a(q) be the first derivative of r(q). Calculate a(-2).
20
Let t(c) be the second derivative of -c**3/2 - 7*c**2/2 - 15*c - 297. Give t(0).
-7
Let p(u) be the second derivative of -5*u**3/3 + 92*u**2 - 4652*u. Determine p(19).
-6
Suppose -3*f - 4*u = -78, f - 4*u - 45 = u. Suppose j = -4 + 5. Let r be ((-4)/j)/(15/f). Let q(z) = -z**3 - 9*z**2 - 7*z + 3. What is q(r)?
-5
Let c be 9/6 - 3255/(-210). Let y(w) = -32*w + 541. Give y(c).
-3
Let k(n) = n**2 - 68*n - 365. Let o = 17947 + -17952. Calculate k(o).
0
Let q(i) = -6*i**3 + 3*i**2 - 5*i - 6. Suppose 87*b = 549 - 636. Calculate q(b).
8
Let q(k) = -k**2 - k - 5. Let z be q(-5). Let l(t) = -t**3 - 25*t**2 - 2*t - 43. Let s be l(z). Let o(w) = w - 4. What is o(s)?
3
Let k(f) be the first derivative of -f**4/4 - 5*f**3/3 - 3*f**2/2 + 3*f + 91. Suppose 4*t - 16 = 4. Suppose 2*y = -z - 13, -3*y + 4*z = t*z + 17. Give k(y).
-1
Let w(l) = -l**3 + 10*l**2 + 10*l + 9. Let t = -4 - -30. Suppose -v - 5*a - 19 = -5*v, -v - 3*a = -t. What is w(v)?
-2
Let j(k) = 7*k + 704 - 356 - 4*k**2 + 3*k**2 - 27*k - 335. Give j(-19).
32
Let r(v) = -6*v - 376. Suppose -3*k = 4*x + 241, k = 116*x - 119*x - 187. Determine r(x).
8
Let h = 5 + 2. Let c(u) = u**2 - 2*u - 22. Let a be c(-4). Let i(k) = -56*k - 2 - 50*k - k**a + 117*k. Give i(h).
26
Suppose 0 = -20*x + 22*x - 2*c + 82, 3*x + 4*c + 144 = 0. Let k(q) = q**3 + 44*q**2 + 2*q + 84. Calculate k(x).
-4
Let d(q) = -q**2 + q - 2. Let b(a) = -7*a + 2*a + 3 - 5. Let t(p) = b(p) + d(p). Let v(c) = -c**3 + 3*c**2 - 2*c + 2. Let k be v(3). Give t(k).
-4
Let q(h) = -3*h + 1 - 4*h + 0*h. Suppose -3*u = 2*y + 2 - 5, 0 = -2*y + 2*u + 8. Let i be (-44 + 48)/(1*(y - 1)). Determine q(i).
-13
Let x(m) = -19*m + 14*m + 7*m - m**2. Let d(l) = 6*l. Let r be d(1). Suppose 4 = -y + r. Give x(y).
0
Let s(n) = 138 + 143*n**2 + 6*n - 142*n**2 + n - 134. Give s(-4).
-8
Let g(u) be the first derivative of -u**3/3 - 3*u**2/2 + 9*u + 112. Let r(x) = 2*x**2 + 6*x - 20. Let i(o) = -5*g(o) - 2*r(o). Calculate i(-6).
13
Let h(y) be the first derivative of y**2/2 + 14*y + 2359. What is h(-3)?
11
Let p(q) = -4 + 4*q + 1 - 22*q + 7*q + 10*q. Suppose 0 = 5*m - 7*m + 16. Calculate p(m).
-11
Let y(k) be the first derivative of k**3/3 + 3*k**2 - 21*k - 330. Determine y(4).
19
Let v(m) = -m**3 + 8 - 2*m**2 + 8*m + m**2 - 6*m**2. Let x(k) = -k**2 - 13*k - 48. Let p be x(-8). Calculate v(p).
8
Let l(f) = 1136*f - 1126*f + 2*f**2 - 169 + 187 - 2*f**3. Calculate l(-3).
60
Let x = 28092 + -28086. Let s(q) = 2*q**2 - 28*q + 88. Give s(x).
-8
Let h(o) = -5*o**2 - o - 1. Suppose 0 = -2*p + 4 - 0. Let b(t) = 34*t + 36. Let v be b(-1). Suppose x - 2 = p*k - 1, 0 = x - 3*k - v. Give h(x).
-5
Let z(w) be the third derivative of -7/6*w**3 + 0*w - 1/12*w**4 - 3 - 11*w**2. Calculate z(5).
-17
Let q(p) be the first derivative of -1/3*p**3 - 1/2*p**2 - 3*p + 27. Calculate q(0).
-3
Let n(r) = 9*r**2 - 2*r - 29*r**2 - 15*r + 6*r**2 + r**3 + 28. Give n(15).
-2
Let d be (-2 - 3/(-2))*0. Suppose 3 = -2*p - 3*k - 1, d = -2*k. Let s be (1 + -1)/(-3 - p - -2). Let y(t) = -t**3 + t**2 + t - 11. Determine y(s).
-11
Let y(q) = 13*q - 45*q - q**2 - 40 + 20*q. Let k(i) = -i**2 + i + 4. Let v be k(4). Let f be y(v). Let u(t) = t**2 + 8*t + 7. Give u(f).
7
Let c = -16 - -21. Suppose 0 = 3*s + 2*x - 14, -c*s + 3*s = -5*x - 3. Let g(z) = -4 + z**2 - s + 0 + 4 - 6*z. Give g(7).
3
Let v(n) = -n. Let z(u) = -u**3 + 17*u**2 - 28*u - 16. Let g be z(15). Suppose -f + 8 - g = 0. Calculate v(f).
6
Let o(u) = u**2 + 4*u - 14. Let k(n) = -2*n + 14. Let h(b) = k(b) + o(b). What is h(-6)?
24
Let i(d) = -d**3 - 4*d**2 - 2*d. Let l be i(-4). Suppose -8*c = -4*c + l. Let x(y) = -1 + y**2 + 1 + y**3 + y - 2*y. What is x(c)?
-2
Let q(r) = 904*r - 448*r - 450*r + 4. Let u(g) = 11*g + 8. Let y(h) = -7*q(h) + 4*u(h). Determine y(-5).
-6
Suppose 0 = 5*x + 5 - 15. Let m(i) = 9*i - 7 + 20 + 47*i**x + 47*i**2 - 95*i**2. Give m(11).
-9
Let d(z) = -6 - 26 + 3*z**3 + 205*z + 8*z**2 - 236*z - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
45*p - 6, t*l - 13 = -5*p for l.
1
Let v = -2 - -7. Let b(r) = -r**3 - 41*r**2 - 40*r + 5. Let j = -126 + 86. Let h be b(j). Solve -v*x = -h, -x + 2 = -4*o - 19 for o.
-5
Suppose -28*g = -510 + 62. Suppose 0 = -9*u + g + 83. Solve 12 = -s - 2*n, 3*s - 5*n - u = 8 for s.
-2
Let c be 2/(-1*(-1 + 0)*-1). Let o be (1 + c)/((-16)/(-20) - 1). Suppose u - o + 3 = 0. Solve -4*b = -b - y + 4, -u*y = 2*b for b.
-1
Let y = 316 + -296. Suppose 0 = y*o - 17*o. Solve 5*z + l = -23, o*l + 21 = -3*z + 3*l for z.
-5
Let n(f) = f**2 - 14*f - 117. Let v be n(-18). Let d = 465 - v. Solve -4*t - 2*i + d = -5*i, 4*t = -2*i + 16 for t.
3
Let x be (-31)/((-2356)/475)*4. Solve -5*a + x - 35 = -5*n, -4*a = -2*n + 14 for a.
-5
Let x be (-1)/(-12) + (-32025)/(-180). Let s = -174 + x. Solve 4*i = -12, s*t + 0*t + 1 = i for t.
-1
Suppose 2*v - 2 = 0, -234 = -5*m + v - 15. Let q = m - 42. Solve -5*s + 4 = -5*x - 1, x + q*s = -13 for x.
-5
Suppose -d + 81 = 13*q - 14*q, -174 = -2*d - q. Solve -r + 90*f - d*f + 29 = 0, r + 2*f + 6 = 0 for r.
4
Let c(j) = 2*j**2 + 455*j + 3517. Let h be c(-8). Solve -6*b - 2*s - 11 = -3*b, -3*s + 12 = -h*b for b.
-3
Let i(l) be the first derivative of 3 - 1/2*l**4 - l**3 + l - l**2. Let w be i(-1). Solve 0 = 4*a - 9*a - w*o - 10, -2*o = 0 for a.
-2
Let p be 15*(0 + 2)*(-27)/(-30). Let c be (2/2)/((7/(-7))/(-2)). Solve 3*s - 17 = i, -c*i + 9 = -2*s + p for i.
-5
Let a(j) = -j**3 + 13*j**2 + 13*j + 18. Let b be a(14). Suppose -r - 17 = -v, -b*r = -v - v + 32. Solve -4*q - v = 5*p, -3*p + 2*q - 4 = -2 for p.
-2
Let g = -135 - -155. Suppose 4*h = n + g, -3*n + 3*h - 38 = 2*h. Let r be ((-4)/n)/(((-5)/(-12))/5). Solve -2*t - 4*x + 10 = 0, -1 - r = -t + x for t.
5
Suppose 3*x - 24 = 5*p + 18, 0 = x - 3*p - 22. Solve d - 3 = 0, -3*d = -x*n - 14 - 3 for n.
-2
Let m = 8 + -7. Let c(h) be the first derivative of -h**3/3 - 7*h**2 - 42*h - 11. Let g be c(-8). Solve 4*a = -f + m, -a = -g*a for f.
1
Suppose 3*b + 5*b = -5*b. Suppose b = -4*c - c - 2*w + 5, 3*w + 27 = 4*c. Let u be 2 + (1 - -2*2). Solve -g + u = 3*k, 3*g + 0*g - c = 0 for k.
2
Let z = -7075 + 7079. Solve 3*i - 12 = -3*t, -7*i + 19 = -4*t - z*i for t.
-1
Suppose 5*y - 74*y = -1035. Solve -2*h - 2*c + 5 = -c, -2*h - 5*c = y for h.
5
Let m(n) = -n**3 - 3*n**2 + 3*n + 11. Let y = -77 - -74. Let q be m(y). Solve -h + q*c - 16 = h, -5*c = -4*h - 37 for h.
-3
Let z be ((-138)/23)/(1 - (-11)/(-8)). Suppose -16 = -0*y - 4*y. Suppose -2*n + y = -4*g, 3*n - z = g + 5. Solve 4*r + 4*j = n, 4*j = j for r.
2
Let o(s) = 5774*s - 5774. Let i be o(1). Let m = 10 - 7. Let v = -6 + 10. Solve 3*c - 3*w = m, 3*c - 2*w - v = -i for c.
2
Let g be 4*(-2)/4 - -42. Let u = -314 + 323. Suppose g = b + u*b. Solve -5*x = f + 4*f - 5, 0 = b*x - 3*f + 31 for x.
-4
Let h(a) = 10*a**3 - a**2 + 5*a - 4. Let n be h(1). Suppose 2*s = 4*p + n - 6, -4*p + 20 = 4*s. Solve 2*i + s*o = 7*i - 20, 5*i - 5*o - 20 = 0 for i.
4
Suppose 16*t - 20*t + 2*j = -24, 0 = 5*t + 4*j - 30. Let q be ((-198)/(-6) - t) + -1. Solve -s + 2*s + 3 = -d, -4*d = -3*s + q for s.
2
Suppose -j + 5 = z + 3, -3*j = 4*z - 8. Solve 0 = 7*d - 2*d - k + z, -2*k = -3*d + 3 for d.
-1
Let n(x) = 6*x**2 - 3*x. Let r be (1 + (-7)/2)*(-72)/90. Let q be n(r). Let c = -9 - -12. Solve 3*y + 17 = 4*s, -c*y - 4 = -5*s + q for s.
5
Suppose 2*v + 0*v + 6 = 0. Let a be -4*v/(15/10). Suppose -2 = -2*j + a. Solve -x + 20 = -j*s, 3*x - 16 = 2*s + 5 for s.
-3
Suppose 3*z = -0 + 6. Suppose z = 2*b - 4. Suppose 4*i = 2*i + 2*c + 4, 0 = 5*c - 5. Solve -x + u + b = -4*x, i*u + 9 = -x for x.
0
Let a(h) = h**3 - h**2 + 33*h - 104. Let c be a(3). Solve 0 = -q - 3*j - 18, -4*q + 3*j = -2*j - c for q.
-3
Let v = -11376 - -11394. Solve a - 109*k = -113*k - 17, -v = 3*a + k for a.
-5
Suppose 15*y - 670 = -1870. Let s be (-6 + y/(-12))*6. Solve 2 = -s*l + 5*u - 2, 0 = -2*u for l.
-1
Let w(p) = -p**2 - 28*p - 45. Let q be w(-26). Let d be (12 - q) + 0 + -1. Let o = -4 - -6. Solve -10 = 3*v - d*s - s, 0 = o*v - 2*s for v.
5
Suppose -33*o = -201*o + 840. Let l(k) = k**3 - 7*k**2 + 8*k - 9. Let h be l(6). Let x = 1 + h. Solve 0*a = -3*a + x*q - o, -1 = -a + 4*q for a.
-3
Suppose 10 = -56*p + 58*p, 0 = 3*o - p + 5. Let g = 1 + -10. Let m = g + 24. Solve -17 = -o*j - 5*j + 4*x, 5*j - m = 5*x for j.
5
Suppose 3*i = 2*k + 9, 2 = -k + 5*k - 2*i. Let o = -10 - -16. Let x be 16/o - (-1)/3. Solve 0 = 2*a - j + 1, a + k*j = -x*a - 17 for a.
-2
Let w = -1042 - -1058. Solve 5*p + w = 2*b, 0 = b - 30 + 32 for p.
-4
Suppose -5*r = 232 - 377. Suppose -r*b = -74 - 13. Solve -t - 28 = 5*j - 0*t, 6 = -3*j + b*t for j.
-5
Let r(g) = -6*g - 2. Let y be r(-2). Let v be -8*(-85)/y + -3. Let u = -62 + v. Solve h + 3*h + s - 9 = 0, -s + u = -2*h for h.
1
Let z be 26/(-52)*((-7)/7)/((-2)/(-20)). Solve -5*y = z*s + 40, -24*y + 2*s + 1 = -23*y for y.
-5
Suppose -96*o + 7140 = 261*o. Solve f - 4 = t, -14*f - t = -19*f + o for f.
4
Let k be 4 + -3 + -6 + -4 - -11. Solve -l = 5*a - 18, 4 - 1 = -k*a + 3*l for a.
3
Let m(u) = u**3 - 4*u**2 - 4*u + 50. Let f be m(5). Suppose 47*r = 36*r + f. Solve 14 = 3*b + 4*l, b - 4*b - r*l = -19 for b.
-2
Let n(j) be the first derivative of j**2/2 + 10*j + 6. Let s be n(5). Let a = -3 - -5. Solve -a*t + 4 = -y, 0 = -5*y - 2*t + 1 + s for y.
2
Let x(s) = -2*s + 12. Suppose 1 - 17 = -4*i. Suppose i*n - b = 22, 2*b = -5*n - 3 + 24. Let z be x(n). Solve z*m = 10, m + m + 2 = -3*d for d.
-4
Let j be 7 + (-12)/(-8)*(-4)/(-3). Let p = -7 - -22. Let v = 18 - p. Solve -5*g = -3*n + j, -n - 2*g - 3*g = -v for n.
3
Suppose 4*b = -3*m - 2105, -15*b + 17*b + 2820 = -4*m. Let q = 714 + m. Solve -a - q = -3*h, -1 = 3*a + 4*h - 6 for a.
-1
Let v be 54*1 + -1 - (9 + -6). Suppose 7*c = 9*c - v. Solve 0 = 3*x + 4*p - c, -x - 2*x + 2*p = -1 for x.
3
Suppose 0 = -4*d + 19 - 3. Let a be (6/(-4))/((-2)/d). Let x = -2 - -9. Solve 0 = j - a*c - x, 3*c = -8 - 1 for j.
-2
Let g(k) = -14*k**3 + 293*k**2 + 25*k - 82. Let c be g(21). Solve 0 = 3*x - c*m - 18, 5*m + 0*m + 3 = -3*x for x.
4
Let c be 78285/2149*(1 - 0) - (-6)/(-14). Solve -b - v = 0, c*v = -b + 41*v - 18 for b.
-3
Let i be 80/(-5)*3/(-6). Let p(w) = -w**2 + 21*w - 102. Let r be p(i). Solve -5*t - 1 + r = 4*j, 2*t = -3*j - 1 for t.
1
Let a be (-1 - -2) + 7/(-35)*-5. Suppose -n = -a*n + 1. Solve 5*i = -n + 21, -2*y + 4*i - 20 = 0 for y.
-2
Let b = 75 - 22. Let h = 48 - b. Let q be 12/(-20)*h*1. Solve 0 = -2*k + 3*r + 4, -2*k - 3*r = -q - 1 for k.
2
Suppose -3*k = -4*o + k + 60, 2*k - 45 = -3*o. Suppose -w - o = -6*w. Solve -h - 1 = -g - 2, 0 = -g - h + w for g.
1
Let c(l) be the second derivative of l**3/2 - 27*l**2/2 - 65*l. Let o be c(9). Solve -w + 4 + 1 = b, 3*b + 2*w - 11 = o for b.
1
Let l = -1073 - -1078. Let v = 24 + -21. Solve l*j + 5 = 20, v*h = -3*j + 24 for h.
5
Let z be (374 + -389)/((-3)/4). Solve -16*k - 5*q = -z*k + 3, 0 = -k - 3*q - 12 for k.
-3
Let d be (-100)/25 - (-5 - 0)*1. Let l be (d/6)/(2/84). Solve 4*y - 3*z = l + 3, 0 = 5*y + 4*z + 3 for y.
1
Let x be 9/12 + (-392)/(-32). Solve 0*l - 18 = -3*v + 5*l, -4*v + x = -3*l for v.
1
Let r = 58 + -88. Let o = r - -37. Suppose -w - j + o = -2*j, -19 = -w + 4*j. Solve q - 3 = 5*q - w*z, -q + 3*z = 3 for q.
0
Let l = 0 - -10. Let w(t) = -6*t + 22. Let i be w(-8). Let b = i - 54. Solve 2*d - 5*v + l*v + b = 0, -5*d - 25 = 5*v for d.
-3
Let y(n) = -137*n + 963. Let h be y(7). Solve p = -2, -10 = -4*s + 3*s + h*p for s.
2
Let p be (4/10)/((-642)/(-49755)). Solve -2*n = -5*f - 1, 0 = p*f - 34*f + n for f.
1
Let i(j) = 8*j**2 - 3*j + 3. Let u(f) = -2*f**3 + 33*f**2 - 18*f + 33. Let r be u(16). Let p be i(r). Solve -t - 4*m + 8 = 0, 3*t = t - 4*m + p for t.
0
Let x = 8227 - 8199. Solve -25 = 4*v + b, 2*v + 5*b + 63 = x for v.
-5
Let s(t) = -2*t**3 + 21*t**2 - 3*t - 6. Let p be s(9). Suppose 29*w - 8*w = p. Solve c + 4*x = w, -1 + 11 = 3*c + 2*x for c.
2
Suppose 0 = 5*x + 2*g - 2 - 9, 0 = -g - 2. Solve 0 = 4*q + 4*h - 12, 5*q = x*h + h + 24 for q.
4
Let b(w) = 2*w - 26. Suppose -2*v = 112 + 6. Let f = v - -74. Let g be b(f). Solve 0 = -p + 3*q - 1, g*q - 12 = 3*p - 7*p for p.
2
Suppose -5*w + 5*a + 90 = 0, 475*a = 479*a + 24. Solve -z = 5*n - 30, -2*n - 15*z = -12*z - w for n.
6
Suppose -19 = 2*x - 9. Let i be 87/3 + x/(-4 - 1). Solve -c - 3*c + 10 = 2*d, -i = -c + 5*d for c.
5
Suppose -247 + 575
|
{
"pile_set_name": "DM Mathematics"
}
|
84)/7*(-15)/((-180)/8)?
-8
What is ((-9)/12)/(3/(-4)*-2)?
-1/2
Calculate (((-36)/16)/3)/(105/60).
-3/7
Evaluate (((-36)/9)/((-1)/2))/2.
4
What is the value of ((-10)/3)/((-405)/486)?
4
What is (-3)/4*(-8)/(20/10)?
3
What is (3/(-2))/(5*(-12)/160)?
4
Calculate -1*3*2/(-42).
1/7
What is the value of 7/((-21)/(-2))*15/(-5)?
-2
((-3)/6)/(7/(-70))
5
What is ((-2)/114)/((-43)/258)?
2/19
What is (-5)/(-1)*702/390?
9
Calculate (((-33)/6)/(-11))/((-3)/2).
-1/3
What is the value of (((-5)/4)/5)/(2/(-4))?
1/2
What is ((-328)/(-2460))/((-2)/2)?
-2/15
What is 2*3/(-18)*-6?
2
Evaluate (10/2)/((-30)/(-12)).
2
What is (10/(-60))/((4/2)/(-4))?
1/3
What is (3/(21/2))/(16/16)?
2/7
Calculate 4*2/((-336)/(-18)).
3/7
(4/(-3))/(13/((-273)/14))
2
((-2)/18)/(16/(-72))
1/2
Calculate (-10)/(-25)*45/6.
3
Evaluate (1/(-3))/(1/(-6)*2).
1
What is the value of 3/(-1*(-18)/(-12))?
-2
Calculate (((-18)/2)/90)/((-1)/6).
3/5
(-7)/2*(98/(-7))/(-7)
-7
Evaluate (-2)/(-20)*(-145)/58.
-1/4
What is 12*(-1)/(-10)*100/(-105)?
-8/7
(-12)/52*(80/(-12))/(-10)
-2/13
What is 6/3*(-1)/5?
-2/5
What is the value of ((-32)/(-8))/((-2)/(4/2))?
-4
Evaluate 45/9*-1*21/(-15).
7
Calculate 5/((-65)/(-2))*-1*-1.
2/13
What is the value of 4/(-2)*15/150?
-1/5
What is the value of ((-8)/(-27))/(30/45)?
4/9
Calculate (((-36)/(-5))/(-6))/((-4)/(-10)).
-3
What is the value of (1104/18)/23*(-6)/(-4)?
4
(-11)/((-55)/(-40))*(-5)/4
10
Calculate 3/(-3)*-2*(-5)/15.
-2/3
Calculate 0*-6*6/(-72).
0
What is the value of -2*1*37/148?
-1/2
What is (-3)/((-9)/2)*-3?
-2
What is the value of ((42/(-6))/(-14))/(10/(-30))?
-3/2
What is (-9)/(45/2)*10/16?
-1/4
What is (21/6*(-16)/(-14))/1?
4
What is the value of 2/8*16/22?
2/11
What is 76/171*3/(-2)?
-2/3
-5*(18/5)/6
-3
Evaluate 3/3*(-13)/(312/(-12)).
1/2
What is the value of 15/(-2)*32/(-160)?
3/2
What is the value of (-35)/((-175)/30)*(-2)/(-32)?
3/8
24/(-90)*15/6
-2/3
Calculate (4*(-117)/520)/(6/(-4)).
3/5
Calculate ((-6)/(3/3))/((-15)/(-10)).
-4
What is 105/(-21)*(4/(-270))/1?
2/27
Evaluate -3*(-2)/(-2)*161/161.
-3
Calculate (-9)/(-1)*(-48)/216.
-2
What is the value of (-8)/(-7)*(-84)/(-24)?
4
Evaluate (3/2)/(246/1476).
9
(15/9)/(-5)*(-12)/16
1/4
Calculate ((-3)/(-3))/(8/(-40)).
-5
Evaluate (-2)/((-1*(-1)/(-1))/2).
4
What is the value of ((108/30)/(-6))/((-216)/(-80))?
-2/9
What is ((-1)/((-5)/4))/(8/(-4))?
-2/5
Calculate (-16)/10*9/(72/(-20)).
4
Calculate (3*(-5)/(-45))/((-1)/9).
-3
What is the value of (-1)/2*52/13?
-2
Evaluate 1/((-8)/(-8))*1/3.
1/3
What is the value of (-2)/((-20)/2)*3?
3/5
((-60)/(-160))/(3/2)
1/4
What is the value of (3/6)/((-3)/(-30))?
5
(4/(-8))/((-4)/((-32)/4))
-1
Calculate (3*(-10)/(-24))/((-192)/(-768)).
5
30/36*(-7)/35*1
-1/6
What is the value of ((-9)/(-15))/((-9)/10)?
-2/3
0/1*20/(-60)
0
What is 148/(-185)*(-3)/(-4)?
-3/5
Evaluate ((-8)/180)/(-3*(-3)/(-45)).
2/9
Evaluate 12/(-8)*(-230)/(-69).
-5
Calculate ((2/1)/(-2))/1.
-1
Calculate 2*(-14)/8*(-14)/49.
1
Evaluate (5/(50/(-15)))/((-6)/4).
1
Calculate 2/((-1)/(-4)*-4*4).
-1/2
What is the value of ((-15)/(-25))/((-21)/28*1)?
-4/5
What is (6/20)/(3/4)?
2/5
What is (-53)/(-106)*(-12)/1?
-6
What is (-4)/(((-264)/8)/((-9)/6))?
-2/11
What is 3/(-2)*(-8)/(-54)*6?
-4/3
Calculate (-3)/(18/30)*2/(-2).
5
Calculate (384/(-96))/((3*-4)/(-2)).
-2/3
(2/1)/((-10)/((-100)/10))
2
0/(((-8)/4)/2)
0
What is (195/130)/(1*7/2)?
3/7
Evaluate 2*2*(102/6)/204.
1/3
(-39)/104*6/9
-1/4
What is the value of ((-2)/(-15))/((20/(-4))/50)?
-4/3
What is (-3)/13*10/(-75)*-5?
-2/13
Calculate 30/80*-1*(-20)/6.
5/4
What is the value of -2*33/22*-2?
6
What is 138/(-92)*2/3?
-1
What is the value of (-6*3/(-8))/(93/62)?
3/2
What is the value of ((-12)/8)/(40/16)?
-3/5
Calculate (4*9/(-99))/1.
-4/11
Calculate (4/(-10))/(63/15).
-2/21
8/(-6)*2*(-4)/48
2/9
Calculate (8/84*3)/1.
2/7
What is 105/(-14)*(-3)/(-9)*-1?
5/2
What is (30/12)/5*4?
2
What is the value of 32/(-68)*(-4)/(-16)?
-2/17
Evaluate ((156/126)/(-13))/((-12)/14).
1/9
What is (-6)/(-1)*(-3)/6?
-3
What is the value of 36/(-24)*4/(-6)*-2?
-2
What is the value of (-112)/(-24)*4/(-42)?
-4/9
(-1*(-18)/(-54))/(2/(-30))
5
Evaluate ((-4)/(-20))/((-3)/21).
-7/5
Evaluate (26/26)/(1*-1).
-1
Calculate 2*(-5*30/25)/(-3).
4
What is the value of (-4)/(-1)*(-44)/(-22)?
8
12/36*9/4
3/4
Calculate (-2)/6*(-279)/31.
3
What is the value of (8/44)/((-8)/(-308))?
7
What is the value of ((-4)/(-108))/(6*(-7)/(-126))?
1/9
Evaluate (-8)/(-4)*30/(-20).
-3
(((-10)/(-1))/((-7)/(-7)))/(-2)
-5
Evaluate (44/22)/(3/(-6)).
-4
Evaluate (-3)/(-3)*-1*(-66)/22.
3
What is the value of (-7)/(-252)*9*0?
0
What is the value of (10/(-3))/((-3)/((-72)/(-16)))?
5
Calculate (30/(-2))/(375/(-150)).
6
What is (9/204)/((-36)/(-96))?
2/17
What is the value of -2*(-6)/(-8)*(-360)/54?
10
(-1)/(-1)*19/(-114)
-1/6
What is (-4)/(32/(-8))*-4?
-4
What is ((-2)/5)/((-106)/530)?
2
Evaluate (72/(-1800))/((-4)/(-30)).
-3/10
What is 1/9*9*-2?
-2
Evaluate (16/7)/(84/294).
8
What is the value of (((-36)/(-10))/(-1))/(44/(-110))?
9
What is (-2)/(-4)*(7/(-7))/1?
-1/2
Evaluate (((-184)/(-48))/(-23))/(6/9).
-1/4
Evaluate ((72/(-588))/(-1))/((-2)/(-14)).
6/7
Evaluate 11*10/220*-6.
-3
Evaluate (-12*4/(-12))/(-6*1).
-2/3
(-4)/(-52)*7/(42/12)
2/13
2/4*-3*(-40)/210
2/7
(55/(-231))/((-4)/(-14))
-5/6
What is the value of (-35)/(-15)*-4*4/(-392)?
2/21
What is the value of 1/(-18)*248/(-62)?
2/9
50/6*(-33)/(-55)
5
10/(-2)*(-6)/10
3
What is the value of (-39)/(-78)*0/(-1)?
0
Calculate (-5)/1*6/(-6)*-1.
-5
What is ((-12)/(-9))/((-2)/(-6))?
4
What is (6/15)/((6/(-5))/1)?
-1/3
Calculate 2/(-7)*1/(56/98).
-1/2
What is (1/2)/(-2*2/8)?
-1
Evaluate ((-3)/(-9))/((55/11)/(-75)).
-5
What is ((-6)/5)/((-6)/10)?
2
Evaluate ((-10)/8)/(3/(3/1)).
-5/4
(-1)/(-25)*(-210)/42
-1/5
What is the value of ((-5)/(-15))/(1/15)?
5
Calculate (14/54)/7*(-243)/(-54).
1/6
((-14)/2940*-15)/1
1/14
Evaluate 7/((-2079)/(-18))*-3.
-2/11
What is the value of -2*4/(-6)*3?
4
((-2)/6)/(60/108)
-3/5
Calculate (21/(-42))/1*10/(-3).
5/3
What is the value of ((-1)/(2/(-10)))/(100/100)?
5
What is ((-3)/(-5))/(80/(-50))?
-3/8
Evaluate (9/15)/1*(-10)/(-4).
3/2
What is ((-5)/(-75))/((-39)/(-130))?
2/9
Calculate -1*1*20*13/(-26).
10
What is the value of (33/(-66))/((-15)/12)?
2/5
What is the value of (2/(-4))/(19/(-38)*13)?
1/13
What is the value of 6/(-4*(-15)/(-40)*-1)?
4
Evaluate (318/(-106))/(114/4).
-2/19
-1*2*2/52
-1/13
What is ((-4)/(-10))/((-518)/(-1295))?
1
Evaluate (-56)/(-63)*6/(-8)*2.
-4/3
What is the value of ((-14)/(-189))/((-6)/(-9))?
1/9
Calculate 1/(-1)*20/140.
-1/7
What is 8/6*(-36)/144?
-1/3
Calculate (-1)/((20/(-70))/(12/(-6))).
-7
Evaluate ((-84)/27)/7*3/(-2).
2/3
(-4)/(-4)*(-4)/(-1)
4
Calculate ((-450)/60)/(-3*15/36).
6
Calculate ((-5)/(-7)*-1)/((-6)/(-7)).
-5/6
What is the value of (5*(-6)/(-60))/(46/8)?
2/23
What is the value of (1/((-104)/13))/(10/(-24))?
3/10
What is ((-14)/(-35))/((-4)/(4*15))?
-6
What is (((-10)/(-3))/(2/(-3)))/1?
-5
Evaluate ((-927)/(-515))/(6/(-20)).
-6
What is the value of (7/14)/((-3)/6)?
-1
What is the value of (-16)/(-2)*7/(-28)?
-2
Calculate (((-1416)/144)/59)/(10/(-84)).
7/5
(30/(-160))/((-24)/(-32))
-1/4
Evaluate (-20)/(-4)*(1/(-1))/(-1).
5
What is (14/(-4))/(-7)*1*1?
1/2
Calculate (-1*1/(-2))/((-128)/128).
-1/2
Calculate (-2)/3*54/108.
-1/3
(4/(-45))/((-9)/(360/16))
2/9
Calculate ((-1)/5)/(2/15).
-3/2
Calculate 3/(-12)*1*(-32)/(-8).
-1
Calculate 2/(((-10)/(-4))/5).
4
Calculate (2/14)/(224/196).
1/8
Calculate (0/50)/(2*-1).
0
What is the value of (-2)/(-1*(-20)/15)?
-3/2
Evaluate 4/(-18)*423/(-94).
1
Calculate (-60)/24*8/(-90).
2/9
What is the value of (2/(-6))/((-264)/198)?
1/4
What is the value of ((-5)/2)/(11/22)?
-5
Evaluate 21/105*(-5)/(-1).
1
What is (-136)/(-476)*(-7)/(-6)?
1/3
What is 5*1/65*-2?
-2/13
What is (-5)/((-100)/(-5))*-2?
1/2
What is (-9)/2*24/18?
-6
Evaluate 6/12*2*-3.
-3
What is the value of 0*1/(-4)*10/5?
0
2*10/(-25)*5
-4
What is the value of (-4)/15*(-5)/(-6)?
-2/9
What is the value of ((32/20)/(-2))/((-66)/15)?
2/11
Calculate 44/44*1*3.
3
Calculate (-9)/((-6)/8*2).
6
What is the value of 3*(-2)/9*30/(-4)?
5
What is (18/(-15))/(-1)*(-8)/48?
-1/5
What is 10/(-5)*3/4?
-3/2
What is (10/4)/(1*7/(-14))?
-5
What is the value of (-207)/(-46)*1/3?
3/2
(-1*(-2)/(-18))/((-1)/6)
2/3
(1/2)/((91/14)/(-13))
-1
What is the value of (
|
{
"pile_set_name": "DM Mathematics"
}
|
/(v**(4/13)/v) assuming v is positive.
v**(554/143)
Simplify (j**(1/5)/j)/j*j*j**(-4)*j*j**(-2/3)*(j/j**(2/9))/j assuming j is positive.
j**(-211/45)
Simplify (i**(1/2))**(-9)/((i/i**6)/(i**(5/2)*i)) assuming i is positive.
i**4
Simplify (((r*r*r/(r**6*r))/r)/r)**39 assuming r is positive.
r**(-234)
Simplify ((y**(-1)*y)/y*y**(-2))/((y*y**(1/6))/(y*y/((y**(1/6)*y)/y)*y)) assuming y is positive.
y**(-4/3)
Simplify ((g*g*g**(2/3)*g*g)/g)/(g/g**46*g) assuming g is positive.
g**(143/3)
Simplify ((((p/(p*p**(-1/9)*p*p*p))/p)/p)/p)/p*p*(p/(p*p/p**1*p)*p)/p*p**(-2)*p*p*p**(-4)*p assuming p is positive.
p**(-89/9)
Simplify (o**(-18))**47 assuming o is positive.
o**(-846)
Simplify q/(((q**(2/11)/q)/q)/q*q*q)*q*q*q/q**(1/3)*(q/(q/(q*q*q*q**(2/5)*q*q))*q)**(-1/2) assuming q is positive.
q**(212/165)
Simplify s**(6/11)*s**(-5/6)/s assuming s is positive.
s**(-85/66)
Simplify (k**(-2/31)*k**(-3/4)/k)**47 assuming k is positive.
k**(-10575/124)
Simplify (y*y**(-1/4)/y*(y/(y*(y*y**(-1/3)*y)/y))/y)/(((y**(-2/3)*y*y)/y)/(y/y**5)) assuming y is positive.
y**(-25/4)
Simplify (c*c/((c**(-19)/c)/c))/c**2 assuming c is positive.
c**21
Simplify c**42/(c*c**(-16)) assuming c is positive.
c**57
Simplify (w/w**(-7))**(2/149) assuming w is positive.
w**(16/149)
Simplify ((((k**6*k)/k)/k)/(((((k/(k/(k**(-1/5)*k*k)))/k)/k)/k)/k*k))/(k/(k**(-1/3)*k)*((k*k/(k**(-3)*k))/k)/k) assuming k is positive.
k**(58/15)
Simplify ((u*u**0)/u**(-5))/(u**(2/3)/u)**28 assuming u is positive.
u**(46/3)
Simplify (z**4/(z*z/z**(-1/7)))/(z/z**(1/3)*z)**(-25) assuming z is positive.
z**(914/21)
Simplify (m**(-15)*m)**(-3/5) assuming m is positive.
m**(42/5)
Simplify ((n/(n*n**(4/3)*n)*n*n)/n**2)/(n**(-1/4)/(n*n*n/(n**(1/2)/n)*n)) assuming n is positive.
n**(29/12)
Simplify ((s/(s**(9/2)*s)*s)/(((s/s**(-4))/s)/s*s))/(s**0/s)**(-35) assuming s is positive.
s**(-85/2)
Simplify (g*(g*g**5*g*g)/g*g**(-2))**(-2/89) assuming g is positive.
g**(-12/89)
Simplify g**(-6)*g**(-1/6)/g assuming g is positive.
g**(-43/6)
Simplify (p**1)**47/(p**(2/7)/p)**(-43) assuming p is positive.
p**(114/7)
Simplify ((f/f**4)/f*f**(-1/11))**49 assuming f is positive.
f**(-2205/11)
Simplify g*g**(-8)*g*(g/g**(-3/11))/g assuming g is positive.
g**(-63/11)
Simplify ((x*x/x**(6/7))/(x**3*x*x))**34 assuming x is positive.
x**(-918/7)
Simplify w/((((w**(-2/29)*w)/w)/w)/w)*w**(-11/3) assuming w is positive.
w**(-52/87)
Simplify o*o*(o*o*(o**(-13)/o*o)/o)/o*o*o*o*o*o*o**(-1/14)*o*o*o assuming o is positive.
o**(-43/14)
Simplify (q**(1/4))**(-5)/(q*q*q/(((q/(q*q*q/(q/(q/q**(2/23)))))/q)/q)*(q**(-5/4)*q)/q) assuming q is positive.
q**(-159/23)
Simplify x*x*x/x**(7/8)*(x**(4/3)*x)/x*x assuming x is positive.
x**(107/24)
Simplify (a**(1/2))**34*((a/(a*a**1/a)*a*a*a)/a)**(7/8) assuming a is positive.
a**(75/4)
Simplify (r**(2/3)/r*r*r**(1/5)/r)/(r/r**0)**(-34) assuming r is positive.
r**(508/15)
Simplify (l/(l**(-3/26)/l))/((l**(-34)*l)/l) assuming l is positive.
l**(939/26)
Simplify ((h**(-1/3)/h)/h**(-5/3))**(-39) assuming h is positive.
h**(-13)
Simplify (s*s**(-4))/((s/(s*s**(-7/4)))/s)*s*s**(-6)*s**(3/2) assuming s is positive.
s**(-29/4)
Simplify (g/g**3*g)**(-18/13) assuming g is positive.
g**(18/13)
Simplify (x*x/(x/(x**(-2/87)*x)))/x*x*x*x**(7/5)/x assuming x is positive.
x**(1469/435)
Simplify (g**9/((g/(g**(-7)*g))/g))**(2/21) assuming g is positive.
g**(2/7)
Simplify (c**(1/5)/c)**28 assuming c is positive.
c**(-112/5)
Simplify (x**(2/5)/x*x**(1/2))/((x**(-1/5)*x*x)/(x/x**(-2))) assuming x is positive.
x**(11/10)
Simplify f*f*(f*(f*(f**5/f*f)/f*f)/f*f)/f*f*f*f**(-17)/f assuming f is positive.
f**(-8)
Simplify j/j**(-3/2)*j*(((j*(j*j**(-19))/j*j)/j*j)/j*j)/j*j assuming j is positive.
j**(-27/2)
Simplify x**(-11/5)/(x*x/(x/(x/((x**(-11)/x)/x*x)))) assuming x is positive.
x**(-81/5)
Simplify (c/(c*c**(-12/11)))/((c/c**(-13))/c) assuming c is positive.
c**(-131/11)
Simplify (((g*g**1*g)/g)/g*(g*g*g*(g/((g/(g*g**(-3)*g))/g))/g*g)/g*g)**(-10) assuming g is positive.
g**(-40)
Simplify ((l*l/(l**(-2)*l*l)*l)/(l**0*l*l))**(3/5) assuming l is positive.
l**(3/5)
Simplify (j*(j**(2/13)/j)/j*j)/((j**(-6)*j*j*j)/j) assuming j is positive.
j**(54/13)
Simplify (m/((m/(m*m/(m**(-11/2)/m)))/m*m)*m)**35 assuming m is positive.
m**(665/2)
Simplify ((s*s**2/s)/s)**49*(s*s**(2/3)/s)**4 assuming s is positive.
s**(155/3)
Simplify u*u*u**(-2/5)*u*u/u**7*u/u**(-3)*u*u**(-2/11)/u assuming u is positive.
u**(23/55)
Simplify (t*t/(t**(-2/69)*t*t))**(-7) assuming t is positive.
t**(-14/69)
Simplify (v*v**(-1/2))/(v**(-32)*v) assuming v is positive.
v**(63/2)
Simplify (y**(-3)/y)**(5/9)/(((y**4/y*y)/y)/y**(-8)) assuming y is positive.
y**(-119/9)
Simplify x**(-9/8)*x*x/(x*x**29) assuming x is positive.
x**(-233/8)
Simplify (x/x**10*x**(-1/4)*x)/(x*x/(x/(x**(-2)*x)))**42 assuming x is positive.
x**(-33/4)
Simplify (t*t/(t/(t/t**(-1/4)*t))*t*t*t**(3/7))**(-1/4) assuming t is positive.
t**(-159/112)
Simplify (c/c**14*c*c*c**(-6/5))**(-3/35) assuming c is positive.
c**(183/175)
Simplify ((g/g**9)/g*g*g*g**9)/(g**(2/3)/g*g**(3/5)) assuming g is positive.
g**(26/15)
Simplify (u/((u*u**(-2/15)*u*u)/u))/((u/(u*u**(4/3)))/u) assuming u is positive.
u**(22/15)
Simplify (v**3)**14/((v**(-1/3)/v*v)/v**(-3/13)) assuming v is positive.
v**(1642/39)
Simplify (k/(k/(k*k**(-8))))/k**(-30) assuming k is positive.
k**23
Simplify (q*q**5)/q*q**(7/5) assuming q is positive.
q**(32/5)
Simplify (a/a**(2/21))/(a*a*a*(a**(3/5)/a)/a*a) assuming a is positive.
a**(-178/105)
Simplify (a**(1/7)*a*a**(3/5))/(a/(a/a**(2/5)))**(-49) assuming a is positive.
a**(747/35)
Simplify ((g/g**(-2/3))/g)**8*(g/g**(-2))/(g**(-10)/g) assuming g is positive.
g**(58/3)
Simplify (h**14)**(-5/7) assuming h is positive.
h**(-10)
Simplify (((z**(4/9)/z)/z)/(z**5/z))**22 assuming z is positive.
z**(-1100/9)
Simplify (k**(-6/11)*k**6)/(k/(k/(k/((k/(k**1*k))/k))))**(1/4) assuming k is positive.
k**(207/44)
Simplify ((o/(o**(1/2)/o*o*o))/o)**(6/13)/(o**5/((o/(o*o/(o/(o*o*o*o/(o**(3/4)*o)*o)*o)*o)*o)/o)) assuming o is positive.
o**(-465/52)
Simplify (y**(-6)*y*(y*y/y**(-1)*y)/y)/((y*y**(-1))/y)**(5/2) assuming y is positive.
sqrt(y)
Simplify p**(-13/3)*p**28 assuming p is positive.
p**(71/3)
Simplify b**(-31)/(b*(b/b**(-32))/b) assuming b is positive.
b**(-64)
Simplify z*z**(-6/5)*z*z**(-11/6) assuming z is positive.
z**(-31/30)
Simplify ((o*o**(2/29))/o)/((o**(-3)*o*o)/o)*(o/o**7)/(o*o**(1/5)) assuming o is positive.
o**(-744/145)
Simplify (l**5)**(-9) assuming l is positive.
l**(-45)
Simplify ((u**(-2/5))**(-30))**(2/7) assuming u is positive.
u**(24/7)
Simplify p**(1/7)/p*p*p/(p**(-4/5)/p)*p*p**(-1/5)/p*p**(3/2) assuming p is positive.
p**(297/70)
Simplify (p/(p/(p**(-24)*p)*p))/p**(-2/37) assuming p is positive.
p**(-886/37)
Simplify ((v*v**(-2/13))/v**13)**(-1/54) assuming v is positive.
v**(79/351)
Simplify ((h*h**(2/35))/(h**(3/4)/h))**(-33) assuming h is positive.
h**(-6039/140)
Simplify (c*c/((c**(4/7)*c*c)/c)*c)**(-18) assuming c is positive.
c**(-180/7)
Simplify b*b**(-7/6)*b*b**(-24) assuming b is positive.
b**(-139/6)
Simplify (p**(-9))**21 assuming p is positive.
p**(-189)
Simplify (c**(-2/3))**5/(c**(1/3)/(c*c**0/c)) assuming c is positive.
c**(-11/3)
Simplify (k**9)**(-26) assuming k is positive.
k**(-234)
Simplify ((a**(2/3))**24)**42 assuming a is positive.
a**672
Simplify ((u*u**(-8))/u)/((u**(2/3)/u)/u)*(u/(u/(u/((((u/(u/u**(1/4)))/u)/u)/u)))*u)/((u/(u**4*u)*u)/u) assuming u is positive.
u**(25/12)
Simplify g**(-32)*g**(35/4) assuming g is positive.
g**(-93/4)
Simplify (((t*t/((t*t**(-4))/t*t))/t)/t**(-2/9))**37 assuming t is positive.
t**(1406/9)
Simplify (n/(n/(n*n**2))*n)/(n/(n*n**4)) assuming n is positive.
n**8
Simplify (a*((a*a**(-3/13)*a*a)/a)/a)/(a*a/(a*(a**(2/19)/a)/a)*a) assuming a is positive.
a**(-525/247)
Simplify ((o**(3/2)*o)**(1/4))**(-2/45) assuming o is positive.
o**(-1/36)
Simplify (q*q**37)/(q**(4/5)/q) assuming q is positive.
q**(191/5)
Simplify (o/(o*(o*o**37/o*o)/o*o))**28 assuming o is positive.
o**(-1064)
Simplify u/u**16*u*u**(-14) assuming u is positive.
u**(-28)
Simplify (t*t**(-2)*t*t)/t**7*(t**0)**(-2/27) assuming t is positive.
t**(-6)
Simplify (u**(-7)*u)**(-6) assuming u is positive.
u**36
Simplify (n/n**38)**(-44) assuming n is positive.
n**1628
|
{
"pile_set_name": "DM Mathematics"
}
|
h term of -433, -388, -331, -274, -229, -208, -223?
-2*b**3 + 18*b**2 + 5*b - 454
What is the b'th term of -3118, -3468, -4052, -4870?
-117*b**2 + b - 3002
What is the r'th term of -1027, -1370, -1713?
-343*r - 684
What is the t'th term of -8487, -8506, -8525, -8550, -8587?
-t**3 + 6*t**2 - 30*t - 8462
What is the r'th term of -984, -1121, -1356, -1695, -2144, -2709, -3396?
-r**3 - 43*r**2 - r - 939
What is the h'th term of -853, -3389, -7617, -13537, -21149, -30453, -41449?
-846*h**2 + 2*h - 9
What is the z'th term of 70, 168, 266, 364?
98*z - 28
What is the c'th term of 1126943, 1126944, 1126945?
c + 1126942
What is the r'th term of 306, 470, 986, 2052, 3866, 6626?
33*r**3 - 22*r**2 - r + 296
What is the a'th term of 25744, 51487, 77230, 102973?
25743*a + 1
What is the v'th term of -147385, -147379, -147371, -147361, -147349, -147335, -147319?
v**2 + 3*v - 147389
What is the q'th term of 2684, 2735, 2784, 2831, 2876?
-q**2 + 54*q + 2631
What is the r'th term of 36267, 36269, 36271, 36273, 36275?
2*r + 36265
What is the f'th term of 3119940, 3119934, 3119926, 3119916, 3119904, 3119890?
-f**2 - 3*f + 3119944
What is the v'th term of 30, -479, -1876, -4611, -9134, -15895?
-75*v**3 + 6*v**2 - 2*v + 101
What is the q'th term of 42096, 42062, 41970, 41790, 41492, 41046?
-5*q**3 + q**2 - 2*q + 42102
What is the c'th term of -1362316, -1362315, -1362314?
c - 1362317
What is the k'th term of 193, 371, 533, 679, 809, 923, 1021?
-8*k**2 + 202*k - 1
What is the h'th term of -401, -799, -1197?
-398*h - 3
What is the u'th term of -228, -960, -2178, -3882, -6072, -8748?
-243*u**2 - 3*u + 18
What is the c'th term of -1283078, -2566154, -3849230, -5132306?
-1283076*c - 2
What is the r'th term of 205, 649, 1327, 2239, 3385?
117*r**2 + 93*r - 5
What is the w'th term of -98, -137, -188, -251, -326, -413?
-6*w**2 - 21*w - 71
What is the s'th term of 127112, 254217, 381320, 508421?
-s**2 + 127108*s + 5
What is the r'th term of -114, -370, -1040, -2328, -4438, -7574, -11940, -17740?
-34*r**3 - 3*r**2 - 9*r - 68
What is the v'th term of -12, 18, 80, 180, 324?
v**3 + 10*v**2 - 7*v - 16
What is the h'th term of 4411, 17651, 39711, 70591, 110291?
4410*h**2 + 10*h - 9
What is the y'th term of 82941, 165889, 248837?
82948*y - 7
What is the k'th term of 240, 440, 614, 768, 908, 1040, 1170?
k**3 - 19*k**2 + 250*k + 8
What is the o'th term of 25059, 25046, 25033, 25020?
-13*o + 25072
What is the n'th term of -2658, -2677, -2704, -2739?
-4*n**2 - 7*n - 2647
What is the a'th term of -81, -34, 89, 324, 707?
6*a**3 + 2*a**2 - a - 88
What is the y'th term of -288, 1116, 2520?
1404*y - 1692
What is the d'th term of -169519, -339036, -508553?
-169517*d - 2
What is the p'th term of 227, 1894, 6415, 15218, 29731, 51382, 81599?
238*p**3 - p**2 + 4*p - 14
What is the d'th term of 201, 106, 13, -78?
d**2 - 98*d + 298
What is the x'th term of 160, -432, -1024?
-592*x + 752
What is the l'th term of -1481, -3002, -4597, -6302, -8153, -10186, -12437, -14942?
-6*l**3 - l**2 - 1476*l + 2
What is the n'th term of 124, 253, 364, 445, 484?
-2*n**3 + 3*n**2 + 134*n - 11
What is the f'th term of 1562, 1285, 1006, 725, 442?
-f**2 - 274*f + 1837
What is the b'th term of -319, -233, -21, 377, 1021, 1971, 3287?
10*b**3 + 3*b**2 + 7*b - 339
What is the a'th term of -2492, -2483, -2474, -2465, -2456, -2447?
9*a - 2501
What is the x'th term of 70, 238, 522, 928, 1462, 2130, 2938, 3892?
x**3 + 52*x**2 + 5*x + 12
What is the b'th term of -679, -2734, -6155, -10942, -17095, -24614?
-683*b**2 - 6*b + 10
What is the w'th term of 179, 628, 1867, 4292, 8299, 14284, 22643?
66*w**3 - w**2 - 10*w + 124
What is the t'th term of -2273, -9102, -20477, -36392, -56841?
t**3 - 2279*t**2 + t + 4
What is the j'th term of 492, 1904, 4252, 7536?
468*j**2 + 8*j + 16
What is the m'th term of -230355, -921422, -2073201, -3685692, -5758895?
-230356*m**2 + m
What is the h'th term of 317, 230, 139, 44, -55?
-2*h**2 - 81*h + 400
What is the q'th term of -40934, -81844, -122754?
-40910*q - 24
What is the a'th term of 6110, 12326, 18544, 24764, 30986, 37210?
a**2 + 6213*a - 104
What is the l'th term of -364835, -729664, -1094495, -1459328, -1824163?
-l**2 - 364826*l - 8
What is the o'th term of -8115, -8116, -8117, -8118, -8119, -8120?
-o - 8114
What is the c'th term of 5047, 19742, 44235, 78526, 122615, 176502?
4899*c**2 - 2*c + 150
What is the i'th term of 52, -130, -322, -530, -760, -1018, -1310?
-i**3 + i**2 - 178*i + 230
What is the u'th term of 22575, 45137, 67699, 90261?
22562*u + 13
What is the z'th term of 125, 167, 269, 455, 749, 1175?
4*z**3 + 6*z**2 - 4*z + 119
What is the z'th term of -94788, -94804, -94834, -94884, -94960, -95068?
-z**3 - z**2 - 6*z - 94780
What is the t'th term of -424, -365, -278, -169, -44, 91, 230?
-t**3 + 20*t**2 + 6*t - 449
What is the l'th term of 4, -87, -334, -809, -1584, -2731, -4322, -6429?
-12*l**3 - 6*l**2 + 11*l + 11
What is the j'th term of -167838, -167842, -167846, -167850, -167854, -167858?
-4*j - 167834
What is the n'th term of -28375, -28377, -28379?
-2*n - 28373
What is the t'th term of 426, 282, 48, -276?
-45*t**2 - 9*t + 480
What is the m'th term of 78, 180, 308, 474, 690?
2*m**3 + m**2 + 85*m - 10
What is the h'th term of 679, 4455, 14697, 34639, 67515, 116559, 185005, 276087?
539*h**3 - h**2 + 6*h + 135
What is the s'th term of -42586, -85176, -127770, -170368, -212970, -255576?
-2*s**2 - 42584*s
What is the g'th term of -141, -574, -1305, -2340, -3685, -5346, -7329?
-g**3 - 143*g**2 + 3*g
What is the n'th term of 34, -21, -134, -305, -534?
-29*n**2 + 32*n + 31
What is the d'th term of -17383, -69542, -156473, -278176, -434651, -625898?
-17386*d**2 - d + 4
What is the y'th term of 4521, 36116, 121833, 288732, 563873?
4510*y**3 + y**2 + 22*y - 12
What is the h'th term of 1341539, 2683071, 4024589, 5366087, 6707559, 8048999, 9390401, 10731759?
-h**3 - h**2 + 1341542*h - 1
What is the i'th term of 4584, 4604, 4626, 4650?
i**2 + 17*i + 4566
What is the i'th term of -168715, -337429, -506139, -674845, -843547, -1012245?
2*i**2 - 168720*i + 3
What is the a'th term of -303, -298, -293?
5*a - 308
What is the o'th term of -1419, -1642, -1989, -2454, -3031, -3714, -4497?
o**3 - 68*o**2 - 26*o - 1326
What is the l'th term of -320808, -320810, -320812, -320814, -320816, -320818?
-2*l - 320806
What is the q'th term of -494, -530, -556, -572, -578?
5*q**2 - 51*q - 448
What is the a'th term of -1151635, -1151638, -1151643, -1151650?
-a**2 - 1151634
What is the p'th term of 19032, 19035, 19038, 19041?
3*p + 19029
What is the l'th term of 5459, 7118, 8771, 10412, 12035, 13634?
-l**3 + 3*l**2 + 1657*l + 3800
What is the o'th term of 52013, 51977, 51939, 51899?
-o**2 - 33*o + 52047
What is the n'th term of -1207, -4848, -10921, -19426, -30363, -43732, -59533?
-1216*n**2 + 7*n + 2
What is the a'th term of -2246, -2238, -2216, -2174, -2106, -2006?
a**3 + a**2 - 2*a - 2246
What is the j'th term of 1083, 1063, 1043?
-20*j + 1103
What is the i'th term of -1973, -3936, -5887, -7820, -9729, -11608, -13451, -15252?
i**3 - 1970*i - 4
What is the w'th term of -8564, -17137, -25708, -34271, -42820, -51349, -59852?
w**3 - 5*w**2 - 8565*w + 5
What is the i'th term of 20, 127, 386, 869, 1648?
12*i**3 + 4*i**2 + 11*i - 7
What is the s'th term of -163, -149, -117, -61, 25, 147, 311, 523?
s**3 + 3*s**2 - 2*s - 165
What is the p'th term of -398, -426, -454, -482, -510?
-28*p - 370
What is the u'th term of 3025, 3051, 3077, 3103, 3129?
26*u + 2999
What is the i'th term of 32398, 129607, 291622, 518443, 810070, 1166503, 1587742?
32403*i**2 - 5
What is the f'th term of 1710, 13596, 45858, 108684, 212262, 366780?
1698*f**3 + 12
What is the p'th term of 3363, 12721, 28309, 50121, 78151?
-p**3 + 3121*p**2 + 2*p + 241
What is the b'th term of 10367, 20793, 31213, 41627, 52035, 62437, 72833?
-3*b**2 + 10435*b - 65
What is the k'th term of 15, 80, 175, 300?
15*k**2 + 20*k - 20
What is the q'th term of -216, -192, -164, -132, -96, -56, -12?
2*q**2 + 18*q - 236
What is the c'th term of 480, 496, 522, 558, 604, 660, 726?
5*c**2 + c + 474
What is the s'th term of -29416, -58808, -88200?
-29392*s - 24
What is the l'th term of -1305, -1334, -1385, -1458, -1553, -1670?
-11*l**2 + 4*l - 1298
What is the n'th term of 31, 116
|
{
"pile_set_name": "DM Mathematics"
}
|
9*b - 18 = 0. What is the units digit of s(b)?
6
Let a(o) = -4*o + 13. Let l be a(2). Suppose l*y = 4*y + 1. What is the units digit of ((-54)/24)/(y/(-52))?
7
Let i be 1*((-32)/4*1 + 1). What is the tens digit of 2/i + 118650/245?
8
Let j(l) = 5*l + 2. Let r be j(7). Suppose -a + 3*a - 386 = -5*w, 392 = 5*w + 4*a. Suppose 2*d = -4*b - 2*d + w, -d = -3*b + r. What is the units digit of b?
4
Suppose -3*q = 4*z - 61, -4*q = -5*z + 84 - 0. Suppose 4*b = -h + 632, -h = -5*h + z. What is the hundreds digit of b?
1
Let q(h) = 23*h - 3 + 8 + 24*h - 33*h. What is the tens digit of q(18)?
5
Suppose 2*p - 30478 = -2*z, 5*p = -3*z + 34444 + 11281. What is the tens digit of z?
3
Let t(w) = 2*w**3 - 35*w**2 - 39*w + 8. Suppose 0 = 29*g - 300 - 280. What is the hundreds digit of t(g)?
2
Let a(n) = n**3 + 54*n**2 + 162*n - 28. What is the hundreds digit of a(-46)?
4
Suppose 3*p = -3*t + 42042, -41*t + 37*t = -3*p + 42063. What is the hundreds digit of p?
0
Let m(y) = 1456*y**2 - 17*y + 28. What is the units digit of m(2)?
8
Let f = 232 - 224. Suppose 0 = f*b - 12*b + 3400. What is the hundreds digit of b?
8
Suppose -3*b = -4*i - 328, 12 = -4*b + b. Let p = i + 90. Suppose 3*w + 86 = p*w. What is the units digit of w?
3
Suppose -102*c - 3*i = -107*c + 101643, 2*i + 121978 = 6*c. What is the hundreds digit of c?
3
Suppose -5*w - 3*w - 200 = 0. Let j = w - -57. Let c = j - 31. What is the units digit of c?
1
Let f(r) = 29*r**2 + r + 3. Let b be f(-2). Let i = 232 - b. Let t = i + -44. What is the tens digit of t?
7
Suppose 158 = -3*z + 29. Let v = z + 40. What is the tens digit of 3 - (v - (73 + -2))?
7
Suppose 0 = 3*m + 12 - 18, m + 6 = 2*z. Suppose 4*n - 399 = -5*a + 2*n, 4*a = -z*n + 324. What is the tens digit of a?
7
Suppose 0 = -11*p - 0. Suppose -3*t + 70 + 35 = p. Let a = 12 + t. What is the tens digit of a?
4
Suppose -3*x - 3 = 0, 0 = s - 0*x + x - 4. Let n be (0/(s + -2))/((-3)/3). What is the units digit of 4 - (-13 + 0 - n)?
7
Let o = 56 + -49. Let j(n) = 69*n - 152. What is the hundreds digit of j(o)?
3
Let p = 3859 - 992. What is the units digit of p?
7
Let a(b) = -b**2 + 37*b + 1. Let u be a(33). Suppose -u*n = -152*n + 18164. What is the units digit of n?
6
Let n = -47 - -16. Let l = 31 + n. Suppose y + 299 = 5*h, l = 3*y - y + 8. What is the units digit of h?
9
Suppose 0 = -4*u - 5*u + 324. Suppose -7*p + u = 2*p. What is the units digit of p?
4
Let h be (1/(-2) + 0)*-18. Let t = 8 - h. What is the units digit of 15*80/(-25)*t?
8
Let z be 15*((-8)/(-20) - -2). Suppose 6*f - z = -6*f. Suppose -d + f*v - 5*v + 105 = 0, v = 4. What is the tens digit of d?
9
Suppose 0 = -7*r + 5565 + 14833. What is the thousands digit of r?
2
Let k = -34970 + 121441. What is the ten thousands digit of k?
8
Let d be (14/(-4))/(2/4). Let g be (-5287)/d + -2 + 24/14. Suppose -8*u + g = 179. What is the tens digit of u?
7
Let p(r) = 19*r**2 + 7*r - 183. Let g be p(18). Suppose -6102 = -5*a + 14*b - 16*b, b + g = 5*a. What is the tens digit of a?
2
Let a be (-18)/6 + 1*(-1 - -7). Let q be a - 2 - -45 - 4. What is the units digit of (1 + q/(-10))/((-48)/1200)?
0
Let c be 3/((-4)/660*3). Let a = c - -266. What is the units digit of a?
1
What is the ten thousands digit of -43 - (-723920)/24 - (14/6 + -1)?
3
Let n be ((-10)/3)/(4/186). Suppose i = 2*t + 5*i + 536, -4*t - 1083 = -3*i. Let y = n - t. What is the tens digit of y?
1
What is the units digit of ((-10)/(-4))/((-1863302)/143332 - -13)?
5
Suppose 250*s + 13635066 - 13287187 = 24929629. What is the hundreds digit of s?
3
Suppose q = -3*f + 4*q - 15, 3*f + q = -27. Let j(k) = -13*k + 58. What is the hundreds digit of j(f)?
1
Suppose y - 15 = -2*y, 2 = -s + y. Suppose z - s*z + 14 = a, 0 = -5*a + 4*z. Suppose 0 = -a*n + 5*u + 257, -n + 4*u - u = -73. What is the units digit of n?
8
Suppose 2*t - 1841 = w, -86*w = -2*t - 87*w + 1839. What is the tens digit of t?
2
Let d be 2/(-3)*(-38529)/(-18). Let n = -714 - d. What is the units digit of n?
3
Suppose -17064*o + 2114912 = -16958*o. What is the thousands digit of o?
9
Let k(s) = 292*s**3 + 4*s**2 + s - 42. Let a be k(6). What is the tens digit of a/39*-6*(-6)/45?
9
Suppose 4*h = 132 - 80. Suppose -13340 = 3*s - h*s. What is the units digit of s?
4
Let u be -4 + 7 - (1 - 2). Let l = -74 - -154. Suppose 3*h = -j + 95, 2*h + 0*j - l = -u*j. What is the tens digit of h?
3
Suppose 5*l = 4*w + 55066, -3*l - 2*w = -22245 - 10799. What is the units digit of l?
4
Let l(v) = -v**2 + 17*v - 33. Suppose 2*m = 4*m + 16. Let h be m/28 - 360/(-35). What is the units digit of l(h)?
7
Suppose 0 = 32*m - 38*m + 78. Suppose m*h + 2875 = 36*h. What is the hundreds digit of h?
1
Suppose 5*v - 13165 - 4147 = 3*v. What is the tens digit of v?
5
Let y(t) = 20*t + 1. Let j(u) = -34*u - 8. Let f(i) = -3*j(i) - 6*y(i). Let x = -17 - -10. What is the hundreds digit of f(x)?
1
Let r(q) be the second derivative of -29*q**3 - 31*q**2 + 121*q. What is the units digit of r(-2)?
6
Suppose -5*p + 364*a - 368*a - 93 = 0, 3*p + 59 = -4*a. Let q be 28/5 - 4/(-10). What is the tens digit of q*(-1 - p/6)?
1
Let a(c) = -410*c**3 - 6*c**2 - 17*c - 5. What is the units digit of a(-3)?
2
Let x(y) = 2*y**2 - 6*y - 2. Let h be x(5). Suppose 5*j - h*j = -117. What is the units digit of 2*(-130)/(-12) - (-3)/j?
2
Let r be ((-76)/10)/(44/(-19030)). Suppose -4*v - r = -3*u, -57*v + 1099 = u - 55*v. What is the tens digit of u?
9
Let l = -5873 + 16952. What is the hundreds digit of l?
0
Let t = 8 + 0. Let q(b) = -2*b**3 - 11*b**2 - 4*b - 14. Let o(a) = 3*a**3 + 21*a**2 + 6*a + 29. Let y(x) = 3*o(x) + 5*q(x). What is the units digit of y(t)?
1
What is the ten thousands digit of 314101/18 + ((-584)/144 - -4)?
1
Suppose 0 = -9*j - 291 + 318. Let k(h) = h + 10. Let b be k(-8). Suppose p = j*p, 3*d - 330 = -b*p. What is the tens digit of d?
1
Let s(z) = 11*z + 25. Let t be s(-5). Let h be ((-62)/6)/((-5)/t). What is the tens digit of 12 - 9 - (1 + h)?
6
Let s(z) = -175*z + 1102. What is the thousands digit of s(-49)?
9
Let k = 32369 - -17285. What is the thousands digit of k?
9
Let d(a) = 7*a - 101. Let g(k) = 2*k - 51. Let q(f) = 2*d(f) - 5*g(f). What is the tens digit of q(5)?
7
Suppose 6 = 2*n, -n = -2*y - 17 + 70. Suppose 0 = 5*u + m - 2805, 2*u - 5*m - y = 1121. What is the tens digit of u?
6
Suppose -3*o - 2*o + 3*c - 3 = 0, 0 = 3*o + 4*c + 25. What is the units digit of 6/o*(-14 + -221)?
0
Let v be (0 - (-3)/(-6))*2. What is the units digit of (9/36*4)/(v/(-138))?
8
Let d be 2*381/6*-1. Let w = d + 46. Let m = w - -164. What is the units digit of m?
3
Let v be (1 - -9566)*(-1 + 15/9). Suppose -9*b = -3*b - v. Suppose -2*s - 5*p = -474, -4*s + 2*p + b = 67. What is the units digit of s?
7
What is the tens digit of (-8 - -6)*11/((-88)/3048)?
6
Let c = -11031 + 39850. What is the ten thousands digit of c?
2
Let b(l) be the first derivative of 53*l**2/2 + 32*l - 1. What is the hundreds digit of b(8)?
4
Let y(i) = 4. Let p(k) = -142*k + 138. Let z(j) = -p(j) - 6*y(j). What is the units digit of z(5)?
8
Let r = -43 + 50. Suppose -r*h + 2079 = -5558. What is the thousands digit of h?
1
Let y = -1106 + 639. Let t = 827 + y. What is the hundreds digit of t?
3
What is the tens digit of 862/((340/(-90))/(-17))?
7
Suppose -t - 1669 - 14 = c, 3*t - 8415 = 5*c. What is the hundreds digit of 4*(c/(-60))/(-11)*-175?
7
Let g(a) = -11*a - 30. Let v be g(-12). What is the units digit of (30/16)/(51/340)*v?
5
Let m be (-25)/(-5)*(-1)/(5/(-384)). Suppose 0 = 13*o - 21*o + m. Suppose t - o = 64. What is the units digit of t?
2
Let z = -239 + 225. Let i(n) = 3*n**2 + 40*n + 5. What is the tens digit of i(z)?
3
Suppose -18*b + 57119 + 12631 = 0. What is the hundreds digit of b?
8
Let z(n) = -30*n - 17. Let g be z(-6). Let y(o) = -g + 126 + o + 2*o**2 + 0*o. What is the units digit of y(-11)?
4
Let m(t) = 11*t**2 + 588*t + 193. What is the units digit of m(-69)?
2
Let u(l) = l**3 + 3*l**2 - 4*l + 3. Let n be u(2). Let q(p) = p**3 + 14*p**2 - 11 - 2*p**3 + 25*p + 0*p**3 - 3. What is the tens digit of q(n)?
3
Let n(a) be the second derivative of a**5/20 + 7*a**4/12 - 3*a**2 + 2*a. Let j be n(-13). What is the hundreds digit of (j/(-45))/(2/15)?
1
Let y(o) = 194*o**2 - 4*o + 9. Let v(b) = b**2 + 2*b. Let l(a) = 6*v(a) + y(a). What is the te
|
{
"pile_set_name": "DM Mathematics"
}
|
ue
Let a(k) = 8*k**2 - 17*k + 7. Let d = 1 - -10. Let i be a(d). Is 6/33 + i/22 a multiple of 14?
False
Suppose 71 = 4*n - 61. Let t = n + -23. Suppose -t*b + 7*b + 78 = 0. Is b a multiple of 13?
True
Suppose -4*h + 614 - 5166 = -3*v, 5*h - 6090 = -4*v. Does 16 divide v?
True
Suppose -4*u = -67 - 9. Let s = u + -12. Suppose 2*i - 65 = s. Is 9 a factor of i?
True
Let r(l) be the third derivative of l**6/120 + l**5/12 - l**4/4 + 2*l**3/3 - 5*l**2. Let u be r(-6). Suppose -5*g = -26 - u. Is 5 a factor of g?
False
Is 30/2*(-2842)/(-294) a multiple of 12?
False
Suppose 25*n - 20*n = 0. Suppose n = -6*h + 4*h + 78. Does 13 divide h?
True
Let y be (-4)/(-2)*(-7 + 8). Suppose -y*x + 27 = 5*b - 26, 3*x + 5*b = 67. Does 7 divide x?
True
Let h(a) = -a**2 + a + 3. Let s(t) = -1. Let p(f) = -h(f) + 5*s(f). Is 17 a factor of p(11)?
True
Suppose 3*w - 33 - 30 = 0. Suppose -y + 43 = -w. Is 8 a factor of y?
True
Suppose 0 = 3*y - 892 - 368. Suppose 4*u + 0*u - y = 0. Is 21 a factor of u?
True
Let f(w) = 3*w**3 - 16*w**2 - 8*w - 24. Does 5 divide f(8)?
False
Suppose 0 = -5*c - 5*t + 334 + 51, 0 = -4*c + t + 313. Does 11 divide c?
False
Let k = 717 + -484. Suppose 0*a + 3*a + k = 2*w, a = -w - 81. Let d = 155 + a. Is d a multiple of 24?
False
Let s(y) = y**2 - y + 1. Let n(f) = -f**2 + 14*f - 6. Let w(o) = -n(o) + 2*s(o). Is 10 a factor of w(6)?
True
Let i(b) be the second derivative of b**4/4 + 11*b**3/6 + 8*b**2 - 15*b. Does 9 divide i(-7)?
False
Let t = -735 - -3169. Does 14 divide t?
False
Suppose 6 = 4*y - 2*u, y - 2*u - 4 = -10. Let i be (-452)/(-14) - (-4)/(-14). Suppose f - 6*f - 5 = -5*a, 0 = -2*a - y*f + i. Is a a multiple of 5?
False
Let t = 21 + -17. Suppose -2 = -3*d + t*n, -2*d - 1 = n - 6. Suppose -26 = -d*q + 10. Does 13 divide q?
False
Let o = 2646 - -669. Does 15 divide o?
True
Suppose 0 = g - 3*w - 29, 5*g - 2*g - 2*w - 66 = 0. Suppose -g*d - 246 = -26*d. Does 12 divide d?
False
Let p = -25 - -15. Let r be 2/13 - (-56)/(-26). Let z = r - p. Is 4 a factor of z?
True
Let s = -106 + 251. Does 29 divide s?
True
Let y(a) = -11*a - 11. Suppose 2*v - 6 = -18. Let k be y(v). Suppose 85 + k = 5*l. Is 7 a factor of l?
True
Let d(u) = -u**3 - 3*u**2 + 3*u - 4. Let a be d(-4). Suppose 4*b - 59 - 13 = a. Does 18 divide b?
True
Suppose -4*r = 5*r - 153. Suppose -b + 5*h + 15 = 36, -2*b + 5*h = r. Does 4 divide b?
True
Let k be (-2 - 1) + 1 + -4 + 1. Does 30 divide (-144)/(-2)*(k/(-4) + 1)?
False
Let u(m) = 26*m**2 + 2*m - 1. Let s be u(1). Let o = -4 - -4. Suppose o = z + 3 - s. Does 24 divide z?
True
Let b be 9/(-3) + 2/1*-1. Let v = b - -13. Does 7 divide v?
False
Let w(l) = -l**3 - 12*l**2 + 12*l - 11. Let q be w(-13). Suppose -2*u - 24 = 3*d, -q*d = -5*d + 4*u - 24. Is 2 a factor of (-2 + (-12)/d)*-14?
False
Suppose 0 = -2*a + v + 153, -5*v = -2*a + 27 + 114. Is 3 a factor of a?
True
Suppose 3*q + 28 = -5. Let m(d) = 2*d**2 + 7*d - 25. Does 28 divide m(q)?
True
Suppose 2*i + 3*w - 2020 = 6*w, 5*i = -w + 5033. Is 16 a factor of i?
False
Suppose a - 5 = -4*z + 6, 4*z = -3*a + 17. Is 16 a factor of (-10)/a*288/(-20)?
True
Let w = 1542 + -684. Does 39 divide w?
True
Let c(h) = -h**2 - 17*h + 10. Let g be c(-14). Suppose -4*o = b + g, 5*o - b + 5*b = -54. Is 76 + o + (0 - -2) a multiple of 25?
False
Let p = -15 + 15. Let f(c) = c**2 - c - 27. Let x be f(p). Let v = x - -82. Is v a multiple of 11?
True
Suppose 4*a + 4*z - 7*z = -51, 34 = -3*a - 2*z. Is ((-69)/a)/((-6)/(-24)) a multiple of 23?
True
Suppose -2*t = -2, 4*t = -5*f + 3*f + 5304. Is f a multiple of 106?
True
Let g be (-2 - 0)/((-4)/18). Let c(y) = y**3 - 8*y**2 + y + 3. Does 31 divide c(g)?
True
Suppose -2*r - 9 = -5*n - 6*r, 4*r = -16. Suppose 112 = n*m + l, 2*l = -4*m - 2*l + 96. Suppose 3*c - m = 41. Is c a multiple of 6?
False
Is 12 a factor of 192/(-15)*(-31 - -16)?
True
Let n(a) = 4 - 4 - a**3 + 6*a**2 - 7*a + 10. Let c be n(4). Is 10 a factor of (-1)/2 - (-427)/c?
True
Let t be (-45)/(-15) + 0 + 1. Suppose 0 = -n + t*n - 201. Is n a multiple of 16?
False
Suppose -8 = -4*o + 28. Is ((-6)/9)/((-3)/o) a multiple of 2?
True
Suppose -a - h + 334 = 0, -4*a = -h - 834 - 512. Suppose -4*x = 3*o - a, 5*x + o - 425 = -4*o. Is x a multiple of 13?
False
Suppose 3*g + 3*g = 642. Let q = -55 + g. Is q a multiple of 26?
True
Suppose 0 = 20*r - 15*r - 600. Is r a multiple of 20?
True
Is 30/(-35) - (-1152)/21 a multiple of 50?
False
Suppose -f = -3 + 12. Let q be f/6*12/(-9). Suppose -3*i - 23 = -d, -q*d + 3 = -d + i. Is d a multiple of 8?
True
Let x(a) = 27*a - 10. Let j be x(10). Let c = j + -136. Is 33 a factor of c?
False
Let s = -19 + 26. Let i = s + 0. Is 2 a factor of i?
False
Suppose -2*m + 8 + 0 = 0. Is m even?
True
Let k = -620 + 660. Is 10 a factor of k?
True
Suppose 0 = -3*u + q - 5, -q = -5*u + u - 5. Suppose -4 = -z - u*z. Suppose z*l - 3 = 3*l. Is l even?
False
Let y(w) = w**2 + 5*w - 11. Let s be y(-7). Suppose -s*o + 2*o + 134 = -5*t, -t = -5*o + 550. Is 25 a factor of o?
False
Let y(f) = 6*f**2 - 7*f - 52. Is 8 a factor of y(7)?
False
Let j = -59 - -1451. Is 4/10 - j/(-20) a multiple of 17?
False
Let u = -8 + 14. Let o(i) = -i**3 + 9*i**2 - i - 3. Let b be o(u). Suppose 2*p - b = -p. Is p a multiple of 10?
False
Let v(n) = 3*n - 6. Let i be v(4). Let s(p) = -p**2 + 2*p + 3. Let r be s(3). Does 18 divide -118*(-3)/i - r?
False
Let d = 73 - 79. Is 10 a factor of ((-19)/3)/(d/108)?
False
Let c = 229 - 83. Suppose v + 79 = 2*q, -34 = 3*q + 5*v - c. Does 6 divide q?
False
Let s(w) = -110*w + 22. Is s(-5) a multiple of 66?
False
Is 106 a factor of -2 + (-5 - -1223) - (3 + 0)?
False
Suppose 3*a + 4*q - 259 = 0, q - 5*q + 4 = 0. Is a a multiple of 5?
True
Let p be (-40)/(-15)*9/4. Suppose x = -3, 4*b + 6*x + 27 = x. Does 11 divide (33/p)/(b/(-18))?
True
Suppose 2*h - 4 = 4. Suppose 2*s - 4*v - 140 = 0, -2*s - 100 = -4*s - h*v. Suppose -8*o = -4*o - s. Does 6 divide o?
False
Suppose -77*o + 672 = -75*o. Does 24 divide o?
True
Is 47 a factor of 12/(-168) + 51550/28?
False
Let v(z) = -z**3 + 17*z**2 + 33*z - 2. Does 20 divide v(18)?
False
Let v = 12 + -15. Is 1/(v/71*1/(-3)) a multiple of 10?
False
Let m(b) = -46*b**3 + 2*b**2 + 2. Does 7 divide m(-2)?
True
Let m(p) = -7*p**2 + 5*p - 6. Let r be m(2). Let a = r + 9. Is 20 a factor of a/(7/(112/(-6)))?
True
Is 3 + 96/72*(373 - 1) a multiple of 24?
False
Let l = 763 + -36. Does 66 divide l?
False
Suppose 290 - 1026 = -4*g. Let f = g - 61. Does 18 divide f?
False
Suppose 2*a - y - 3*y - 12 = 0, -a + 4*y + 10 = 0. Suppose -3*d + 8*d + 5*h = 330, -4*d = a*h - 260. Is d a multiple of 12?
False
Suppose 0 = 5*v + 2*n + 1, n = -1 - 2. Is 5 a factor of v/3 - (-95)/3?
False
Let c(m) be the first derivative of m**3 + m**2 + 2*m - 3. Does 21 divide c(-4)?
True
Let w(n) = -n**2 - 7*n + 18. Let c be w(-9). Suppose 15*k - 11*k - 384 = c. Does 8 divide k?
True
Suppose -w - j = -4*w + 60, -5*j = 3*w - 78. Suppose 0 = -4*f + w - 5. Is f a multiple of 4?
True
Suppose -v - 63 + 710 = 0. Does 21 divide v?
False
Let n(m) be the first derivative of -5*m**4/4 - m**3 + 3*m**2/2 + m + 6. Is n(-2) a multiple of 3?
False
Let i = 531 + -291. Is i a multiple of 12?
True
Suppose c - 41 = 3*b, -3*b + 147 = -0*c + 3*c. Let p = -1 + 4. Suppose -3*x + l = -102, -p*x + 4*l + 64 = -c. Is x a multiple of 22?
False
Suppose 11*i - 10*i + 3 = 0. Does 3 divide ((-4)/i)/((-2)/(-15))?
False
Let d(k) = -2*k**2 - 4*k + 2. Let x be d(-6). Let m = 335 + x. Is 17 a factor of m?
True
Let r(f) = 2*f + 6. Let j be r(7). Suppose x + x = j. Does 10 divide x?
True
Let q be (1*29)/(-7 + (-258)/(-36)). Is 10 a factor of (-1)/((-3)/q) - -2?
True
Let k = -1823 - -5140. Is k a multiple of 107?
True
Suppose 2*l - 4*k = -29 + 1, -3*l - 39 = -3*k. Is (-4)/2 + (-3 - -8) - l a multiple of 8?
False
Suppose 5*h - 15 = -5*t + 5, h = -5*t + 16. Let k(m) = 188*m**3 - m**2 + m - 1. Does 11 divide k(h)?
True
Does 32 divide 7/70 - (-9477)/30?
False
Let n(k) be the third derivative of -83*k**6/120 + k**5/20 + k**4/6 + k**3/3 - 10*k**2. Does 21 divide n(-1)?
True
Suppose -r - 3*p + 71 = 0, 0 = 3*r - 0*r + p - 245. Let o = r + -171. Is (o/(-10))/((-7)/(-35)) a multiple of 22?
True
Let u(c) = -c**2 - 5*c - 334. Let v(k) = k**2 + k - 1. Let a(w) = -u(w) - 2*v(w). Does 48 divide a(0)?
True
Suppose 4*o + p - 2233 = 0, 2*o - 6
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.