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-54?
7*v - 82
What is the n'th term of -44, -48, -54, -62, -72, -84?
-n**2 - n - 42
What is the b'th term of -26, -57, -88, -119, -150, -181?
-31*b + 5
What is the v'th term of -121, -241, -367, -505, -661, -841, -1051, -1297?
-v**3 + 3*v**2 - 122*v - 1
What is the z'th term of -345, -690, -1033, -1374, -1713?
z**2 - 348*z + 2
What is the v'th term of 346, 348, 350, 352, 354, 356?
2*v + 344
What is the v'th term of 276, 519, 762, 1005, 1248?
243*v + 33
What is the k'th term of -57, -242, -551, -984, -1541, -2222, -3027?
-62*k**2 + k + 4
What is the o'th term of 398, 774, 1150, 1526, 1902, 2278?
376*o + 22
What is the d'th term of 23, 32, 23, -10, -73, -172?
-d**3 - 3*d**2 + 25*d + 2
What is the l'th term of -47, -234, -555, -1016, -1623, -2382, -3299?
-l**3 - 61*l**2 + 3*l + 12
What is the d'th term of 119, 116, 109, 98, 83, 64?
-2*d**2 + 3*d + 118
What is the u'th term of -7638, -7639, -7640, -7641, -7642?
-u - 7637
What is the l'th term of 249, 268, 287, 306?
19*l + 230
What is the r'th term of 28, 128, 286, 496, 752, 1048, 1378?
-r**3 + 35*r**2 + 2*r - 8
What is the f'th term of 22, 79, 174, 307?
19*f**2 + 3
What is the k'th term of -31, -63, -95?
-32*k + 1
What is the s'th term of -174, -323, -472, -621, -770?
-149*s - 25
What is the i'th term of -4089, -4091, -4093, -4095, -4097, -4099?
-2*i - 4087
What is the r'th term of -180, -190, -200, -210, -220?
-10*r - 170
What is the b'th term of 30, 63, 98, 135?
b**2 + 30*b - 1
What is the l'th term of 8, 5, -8, -37, -88, -167, -280?
-l**3 + l**2 + l + 7
What is the t'th term of -13, -37, -61, -85, -109?
-24*t + 11
What is the y'th term of -221, -226, -231, -236?
-5*y - 216
What is the k'th term of -20, 4, 76, 220, 460, 820, 1324?
4*k**3 - 4*k - 20
What is the b'th term of 216, 210, 198, 180, 156, 126, 90?
-3*b**2 + 3*b + 216
What is the k'th term of -36, -43, -56, -75?
-3*k**2 + 2*k - 35
What is the g'th term of -242, -238, -232, -224, -214, -202?
g**2 + g - 244
What is the k'th term of 234, 220, 184, 114, -2, -176, -420, -746?
-2*k**3 + k**2 - 3*k + 238
What is the l'th term of 27, 18, 9, 0?
-9*l + 36
What is the p'th term of 4, 19, 48, 97, 172, 279, 424, 613?
p**3 + p**2 + 5*p - 3
What is the g'th term of -72, -59, -52, -51, -56?
-3*g**2 + 22*g - 91
What is the g'th term of 39, -66, -171?
-105*g + 144
What is the m'th term of 39, 31, 11, -27, -89?
-m**3 - m + 41
What is the r'th term of -100941, -100942, -100943, -100944, -100945?
-r - 100940
What is the k'th term of -30, -77, -124, -171, -218, -265?
-47*k + 17
What is the h'th term of 119, 111, 101, 89, 75, 59, 41?
-h**2 - 5*h + 125
What is the i'th term of -2266, -2269, -2272, -2275, -2278?
-3*i - 2263
What is the u'th term of -58, -46, -36, -28, -22, -18?
-u**2 + 15*u - 72
What is the u'th term of -17, -9, 13, 55, 123, 223?
u**3 + u**2 - 2*u - 17
What is the f'th term of 1, -1, -13, -41, -91?
-f**3 + f**2 + 2*f - 1
What is the j'th term of 61, 34, -51, -224, -515, -954, -1571, -2396?
-5*j**3 + j**2 + 5*j + 60
What is the i'th term of 13, 78, 185, 334, 525, 758, 1033?
21*i**2 + 2*i - 10
What is the q'th term of 260, 260, 266, 284, 320?
q**3 - 3*q**2 + 2*q + 260
What is the f'th term of 162, 144, 104, 36, -66, -208, -396, -636?
-f**3 - 5*f**2 + 4*f + 164
What is the x'th term of 92, 86, 76, 62, 44, 22?
-2*x**2 + 94
What is the h'th term of -90, -98, -120, -162, -230, -330, -468, -650?
-h**3 - h**2 + 2*h - 90
What is the x'th term of 11, 15, 23, 35, 51?
2*x**2 - 2*x + 11
What is the g'th term of -64, -131, -198, -265, -332, -399?
-67*g + 3
What is the r'th term of 622, 1242, 1860, 2476, 3090, 3702?
-r**2 + 623*r
What is the r'th term of 358, 356, 354, 352, 350?
-2*r + 360
What is the h'th term of 23, 58, 99, 146, 199?
3*h**2 + 26*h - 6
What is the l'th term of 62, 124, 192, 266?
3*l**2 + 53*l + 6
What is the y'th term of 22, 67, 144, 253, 394, 567?
16*y**2 - 3*y + 9
What is the l'th term of 65, 85, 107, 131, 157, 185?
l**2 + 17*l + 47
What is the v'th term of -61, -91, -107, -103, -73, -11, 89, 233?
v**3 + v**2 - 40*v - 23
What is the b'th term of 871, 872, 873, 874?
b + 870
What is the c'th term of -12, -14, -16?
-2*c - 10
What is the w'th term of 462, 900, 1288, 1602, 1818, 1912, 1860?
-4*w**3 - w**2 + 469*w - 2
What is the w'th term of 4, 41, 132, 301, 572?
4*w**3 + 3*w**2 - 3
What is the z'th term of 29, 218, 731, 1730, 3377, 5834?
27*z**3 + 2
What is the l'th term of -74, -251, -546, -959, -1490?
-59*l**2 - 15
What is the b'th term of -101, -204, -311, -422?
-2*b**2 - 97*b - 2
What is the s'th term of 254, 263, 272, 281?
9*s + 245
What is the b'th term of 123, 118, 111, 102, 91, 78, 63?
-b**2 - 2*b + 126
What is the i'th term of -62, -119, -176, -233?
-57*i - 5
What is the v'th term of -212, -208, -204, -200, -196, -192?
4*v - 216
What is the o'th term of 1849, 1850, 1851?
o + 1848
What is the z'th term of 829, 884, 939?
55*z + 774
What is the b'th term of 1, 1, -1, -5, -11, -19, -29?
-b**2 + 3*b - 1
What is the i'th term of 31, 117, 253, 439, 675, 961, 1297?
25*i**2 + 11*i - 5
What is the h'th term of 220, 219, 218, 217?
-h + 221
What is the h'th term of 1403, 2805, 4207?
1402*h + 1
What is the f'th term of 295, 592, 889, 1186?
297*f - 2
What is the v'th term of -131, -807, -1941, -3539, -5607, -8151?
-v**3 - 223*v**2 + 93
What is the j'th term of 33, 60, 89, 120?
j**2 + 24*j + 8
What is the r'th term of -90, -30, 68, 204?
19*r**2 + 3*r - 112
What is the w'th term of 23, 87, 193, 341, 531?
21*w**2 + w + 1
What is the d'th term of -21911, -43821, -65731, -87641?
-21910*d - 1
What is the i'th term of 114, 231, 348, 465?
117*i - 3
What is the s'th term of -3484, -3495, -3508, -3523?
-s**2 - 8*s - 3475
What is the h'th term of 1, -29, -101, -233, -443, -749, -1169?
-3*h**3 - 3*h**2 + 7
What is the r'th term of -79, -149, -219, -289?
-70*r - 9
What is the d'th term of 51, 152, 319, 552, 851, 1216?
33*d**2 + 2*d + 16
What is the a'th term of -41, -94, -153, -218, -289, -366, -449?
-3*a**2 - 44*a + 6
What is the o'th term of -2183, -2185, -2187?
-2*o - 2181
What is the l'th term of 142, 160, 192, 244, 322, 432, 580, 772?
l**3 + l**2 + 8*l + 132
What is the n'th term of 409, 820, 1235, 1654, 2077?
2*n**2 + 405*n + 2
What is the j'th term of 35, 30, 11, -28, -93, -190?
-j**3 - j**2 + 5*j + 32
What is the k'th term of -16, -43, -72, -103, -136?
-k**2 - 24*k + 9
What is the v'th term of -12, -11, -8, -3?
v**2 - 2*v - 11
What is the q'th term of 16, 181, 624, 1483, 2896, 5001?
23*q**3 + q**2 + q - 9
What is the f'th term of 135, 275, 415, 555, 695?
140*f - 5
What is the t'th term of -12, -2, 60, 210, 484, 918?
6*t**3 - 10*t**2 - 2*t - 6
What is the m'th term of -1140, -1142, -1148, -1158, -1172, -1190?
-2*m**2 + 4*m - 1142
What is the t'th term of -3733, -7463, -11193?
-3730*t - 3
What is the m'th term of 5483, 5482, 5481?
-m + 5484
What is the a'th term of -10, -3, 30, 101, 222, 405, 662?
2*a**3 + a**2 - 10*a - 3
What is the q'th term of -384, -385, -378, -357, -316, -249, -150?
q**3 - 2*q**2 - 2*q - 381
What is the n'th term of 1493, 1479, 1463, 1445?
-n**2 - 11*n + 1505
What is the r'th term of -38, 1, 40?
39*r - 77
What is the j'th term of 136, 270, 404, 538?
134*j + 2
What is the g'th term of -985, -987, -989, -991, -993, -995?
-2*g - 983
What is the o'th term of -1914, -1919, -1926, -1935, -1946?
-o**2 - 2*o - 1911
What is the c'th term of -7, -15, -25, -37, -51?
-c**2 - 5*c - 1
What is the i'th term of -3, -11, -19?
-8*i + 5
What is the z'th term of -105, -209, -315, -423, -533, -645?
-z**2 - 101*z - 3
What is the a'th term of 554, 556, 558, 560, 562?
2*a + 552
What is the j'th term of -474, -1760, -3910, -6930, -10826, -15604, -21270?
-j**3 - 426*j**2 - j - 46
What is the k'th term of 157, 602, 1343, 2380, 3713, 5342, 7267?
148*k**2 + k + 8
What is the f'th term of 68, 143, 220, 299, 380, 463, 548?
f**2 + 72*f - 5
What is the n'th term of 1149, 1151, 1153?
2*n + 1147
What is the g'th term of -25, -32, -31, -16, 19, 80?
g**3 - 2*g**2 - 8*g - 16
What is the x'th term of 3412, 6819, 10222, 13621, 17016?
-2*x**2 + 3413*x + 1
What is the j'th term of 167, 332, 495, 656?
-j**2 + 168*j
What is the s'th term of 525, 1052, 1579, 2106, 2633?
527*s - 2
What is the m'th term of 207, 206, 205?
-m + 208
What is the x'th term of 91, 95, 99, 103?
4*x
|
{
"pile_set_name": "DM Mathematics"
}
|
-k**l + 0*k**2 + 2*k**2 + 3 - 2 - 2*k = 0.
1
Let i be (140/(-455))/(-1 - 3/(-9)). Factor i*w**3 + 6/13*w**2 + 2/13*w**4 + 0 + 2/13*w.
2*w*(w + 1)**3/13
Suppose 4*k + 5*i - 142 = 3*k, 586 = 4*k + 2*i. Let z = k + -437/3. Let -4/3*g + 1/3*g**2 + z = 0. What is g?
2
Let p(d) = d**2 - 17*d + 32. Let z be p(15). Factor -4/3 + 2*t**2 + 4/3*t**3 - z*t.
2*(t - 1)*(t + 2)*(2*t + 1)/3
Factor 0*c + 0 + 0*c**2 + 16/7*c**3 - 4/7*c**4.
-4*c**3*(c - 4)/7
Let v(t) = t + 5. Let d be v(-5). Let m(b) be the third derivative of -1/30*b**4 - 7/300*b**6 + 3*b**2 + 0*b**3 + 0*b + 3/50*b**5 + d. Factor m(o).
-2*o*(o - 1)*(7*o - 2)/5
Let w(z) = z**3 + 6*z**2 + 3*z - 6. Let u be w(-5). Factor 2 - 8*a + 12*a**2 - 4*a + 2 - u*a**3.
-4*(a - 1)**3
Let h(i) = 0 + 8*i**2 + 20*i + 2 - 13*i - 12*i. Let r(s) = s**2 - s + 1. Let n(z) = h(z) - 5*r(z). Suppose n(o) = 0. Calculate o.
-1, 1
Let t(h) be the second derivative of h**7/2940 - h**6/210 + h**5/35 - 2*h**4/21 - h**3/2 + 2*h. Let s(q) be the second derivative of t(q). Factor s(w).
2*(w - 2)**3/7
Let y(z) be the first derivative of 1/22*z**4 + 0*z**2 + 0*z + 2/33*z**3 + 1. Suppose y(u) = 0. Calculate u.
-1, 0
Let j be (32/(-8))/(2/(-3)). What is m in -6*m + j*m - 3*m**3 - 3*m**4 = 0?
-1, 0
Suppose 0 = -3*y + 5*y. Suppose 2*z - 2 = z. Let 1/3*g**z + 1/3*g**3 + y*g + 0 = 0. What is g?
-1, 0
Let y(s) = 8*s**3 - 6*s**2 - 6*s - 4. Let d(o) = o**3 - o**2. Let a(f) = f**2 - 2*f - 6. Let h be a(0). Let m(g) = h*d(g) + y(g). Factor m(w).
2*(w - 2)*(w + 1)**2
Find l such that -1/3*l**5 + 1/3*l + 2/3*l**4 + 0 + 0*l**3 - 2/3*l**2 = 0.
-1, 0, 1
Let j(v) = -v. Let n(s) be the second derivative of -s**4/12 - s**3/3 - 2*s. Let c = 7 + -11. Let o(i) = c*j(i) + n(i). Factor o(k).
-k*(k - 2)
Suppose -2*i - 2*x - 2*x = -20, i = 2*x - 2. Factor -3*y**2 + y**3 + 2 - 1 + 0*y - y + 3*y**i - y**4.
(y - 1)*(y + 1)**2*(2*y - 1)
Let h(p) = -p**2 + 8*p - 3. Let q be h(5). Factor -q*w**4 + 18*w**3 + 6*w - 2*w + 0*w - 12*w**2 - w + 3*w**5.
3*w*(w - 1)**4
Let v(y) be the first derivative of -14*y**3 - 3*y**4 - 6*y + 48/5*y**5 + 6 + 33/2*y**2 - 7/2*y**6. Determine f so that v(f) = 0.
-1, 2/7, 1
Let l(d) be the third derivative of -7*d**6/360 - d**5/90 + 7*d**4/72 + d**3/9 - 23*d**2. Factor l(a).
-(a - 1)*(a + 1)*(7*a + 2)/3
Let k(q) be the third derivative of -q**6/80 + 11*q**5/120 + 19*q**4/48 + 5*q**3/12 + 2*q**2. Determine l, given that k(l) = 0.
-1, -1/3, 5
Let b = 14 + -8. Factor -c + 2*c**3 + 2 + b*c**2 + 7*c + 0*c**3.
2*(c + 1)**3
Let x(u) = -2*u**3 + 29*u**2 + 16*u - 12. Let m be x(15). Solve 0 - 1/4*v**m + 1/2*v + 1/4*v**2 = 0.
-1, 0, 2
Factor -i**3 - 1/6*i**4 - 4/3*i**2 + 3/2 + i.
-(i - 1)*(i + 1)*(i + 3)**2/6
Let a(o) be the third derivative of -1/1176*o**8 + 0*o**7 + 0*o**6 - o**2 + 0*o**4 + 0 + 0*o**5 + 0*o**3 + 0*o. Factor a(f).
-2*f**5/7
Suppose 0 = 3*y - 4*y + 4. Suppose y*w - 6*w = 0. Factor 4*i**3 - 2 + w*i**4 + 0*i**3 + 2*i**4 - 4*i.
2*(i - 1)*(i + 1)**3
Let q be -8 - 4/(-2)*1. Let g = 4 - q. Solve 2*u**2 + 10 - g = 0.
0
Let s = 125 + -120. What is i in -4/3*i**4 + 2/3 + 5/3*i - 1/3*i**s - 4/3*i**3 + 2/3*i**2 = 0?
-2, -1, 1
Let p(l) be the first derivative of -10 + 2*l**3 - 2*l - 8/5*l**5 - 2*l**4 + 2*l**2. Suppose p(x) = 0. Calculate x.
-1, 1/2
Let k(p) be the first derivative of -2/5*p**5 + 2/3*p**3 + 0*p - p**2 + 1/2*p**4 - 8. Factor k(r).
-2*r*(r - 1)**2*(r + 1)
Factor 0 - 8/3*f**3 + 8/3*f**2 + 2/3*f**4 + 0*f.
2*f**2*(f - 2)**2/3
Suppose -2*z - 7*z = -18. Factor 0 - m**z - 1/4*m.
-m*(4*m + 1)/4
Let p(h) be the third derivative of 27*h**8/56 + 6*h**7/5 + 13*h**6/60 - 14*h**5/15 + h**4/3 - 7*h**2. Factor p(q).
2*q*(q + 1)**2*(9*q - 2)**2
Let o(d) be the second derivative of d**4/36 - 5*d**3/18 + 2*d**2/3 + 14*d. Factor o(v).
(v - 4)*(v - 1)/3
Let n(l) be the second derivative of l**4/48 - l**3/12 + l**2/8 - 6*l. Factor n(d).
(d - 1)**2/4
Let y(a) = -540*a**3 + 468*a**2 - 118*a + 12. Let z(f) = -180*f**3 + 156*f**2 - 39*f + 4. Let o(t) = -5*y(t) + 14*z(t). Factor o(k).
4*(3*k - 1)**2*(5*k - 1)
Let g(w) = -7*w**2 + 17*w - 12. Let y(n) = 50*n**2 - 120*n + 85. Let k(i) = -15*g(i) - 2*y(i). Find o such that k(o) = 0.
1, 2
Let l(v) be the first derivative of 5*v**4/4 + 20*v**3 + 120*v**2 + 320*v - 2. Factor l(p).
5*(p + 4)**3
Suppose -2 - 1 = -i. Factor 4*j**3 - 17*j**5 - 2*j**2 + j**i + 16*j**5 - 4*j**3 + 2*j**4.
-j**2*(j - 2)*(j - 1)*(j + 1)
Suppose 3*z = 6*z - u - 20, 5*z - 20 = -u. Determine b, given that -2*b**3 + 30*b**3 - 18*b**5 - 8*b**2 + 26*b**z - 28*b**4 = 0.
0, 1/2, 1, 2
Let o(m) be the third derivative of 0*m + 0*m**3 + 1/48*m**4 + 2*m**2 - 1/105*m**7 + 0 + 1/30*m**5 - 1/240*m**6. Let o(p) = 0. What is p?
-1, -1/4, 0, 1
Let z be -1 + 4 - 22/10. Let t = -8/5 + 2. Solve -t*p**4 + 0*p + 0*p**3 - 2/5 + z*p**2 = 0.
-1, 1
Let l(o) be the first derivative of 2*o**5/35 + o**4/7 - 2*o**2/7 - 2*o/7 - 10. Factor l(d).
2*(d - 1)*(d + 1)**3/7
Let w(g) = -g**3 - g. Let d(f) be the third derivative of f**6/60 - f**5/60 + f**4/6 + f**3/6 + f**2. Let q(a) = -2*d(a) - 6*w(a). Factor q(b).
2*(b - 1)*(b + 1)**2
Suppose 3*j - 2*n - 10 = 0, -2*n + 4 = -0*j + 4*j. Let h be -2 + -1 + 2 + 3. Factor -3*u**2 + 6*u + h + j + 0*u**2 + 5*u**2.
2*(u + 1)*(u + 2)
Suppose -4/7*p**4 + 4/7*p**3 - 2/7*p**5 - 4/7 + 8/7*p**2 - 2/7*p = 0. Calculate p.
-2, -1, 1
Let b(p) be the first derivative of -p**4/4 + 8*p**3/3 + 4*p**2 + 11*p + 3. Let w be b(9). Let w*k - k**2 - 3*k**2 - k**3 + 3*k**3 = 0. What is k?
0, 1
Let j(g) = 8*g**3 - 73*g**2 + 242*g + 3. Let a(o) = 65*o**3 - 585*o**2 + 1935*o + 25. Let i(d) = 3*a(d) - 25*j(d). Solve i(w) = 0.
0, 7
Factor -11/4*v - 1/4*v**3 - 7/4*v**2 - 5/4.
-(v + 1)**2*(v + 5)/4
Find t such that -1 - 2*t**2 + t**4 - 13 + 15 = 0.
-1, 1
Let i(q) be the second derivative of -4*q + 1/2*q**4 - 3/10*q**6 + 6*q**3 - 5/4*q**5 - 4*q**2 + 0. Factor i(p).
-(p - 1)*(p + 2)**2*(9*p - 2)
Let h(k) = 2*k**2 - k - 3. Suppose -n - n + 6 = 0. Let v be h(n). Suppose 10*a**2 + 20*a**3 + 2 + 10*a**2 + 6*a**4 + v*a + 4*a**2 = 0. What is a?
-1, -1/3
Let v = -15 - -21. Let 5*f**3 - 2 + f**3 - 4*f**3 - v*f**2 + 6*f = 0. Calculate f.
1
Let m be 0/17*(-2)/(-4). Let g(r) be the first derivative of 1 + 1/3*r**4 + m*r**2 + 1/9*r**3 + 0*r. Factor g(b).
b**2*(4*b + 1)/3
Let w(i) be the third derivative of -i**7/2520 - i**6/180 - i**5/40 - i**4/12 - 4*i**2. Let g(y) be the second derivative of w(y). Let g(s) = 0. What is s?
-3, -1
Let j = 0 - -2. Let w be j + (3 - 2) + 0. Suppose w*t + 8*t**2 - 5*t - 19*t**3 + 8*t**4 + 7*t**3 - 2*t**5 + 0*t**5 = 0. Calculate t.
0, 1
Let n(m) = m**2 - 6*m + 7. Let a be n(5). Let b = 1007/630 - -1/630. Find t, given that 56/5*t**4 + 0 - b*t**3 + 0*t + 0*t**a - 98/5*t**5 = 0.
0, 2/7
Let w be (-2)/(-2) + (-1 - -3). Suppose o - 8 = -w*o. Determine i, given that 2*i - 3*i**3 + 2 + 0*i**3 - o*i**2 + i**3 = 0.
-1, 1
Let a(i) be the third derivative of -i**6/60 - i**5/30 + 44*i**2. Factor a(f).
-2*f**2*(f + 1)
Let h = 24 - 15. Let r = h + -7. Factor 0 + 0*t + 2/7*t**r.
2*t**2/7
Let j = 49 + -1322/27. Let t(s) be the third derivative of 4/27*s**3 + j*s**4 + 0 - 2*s**2 + 1/270*s**5 + 0*s. Factor t(f).
2*(f + 2)**2/9
Let v = 4 + -1. Find f such that 2*f**2 - 7*f**2 + 6*f + v*f**3 - 4*f = 0.
0, 2/3, 1
Let 25/4*j**3 + 1 + 6*j + 45/4*j**2 = 0. Calculate j.
-1, -2/5
Suppose -4*m + 14 = 2*i, -14 = -3*i - 5*m + 5. Factor -2/5*o**4 + 2/5*o + 0 + 2/5*o**2 - 2/5*o**i.
-2*o*(o - 1)*(o + 1)**2/5
Let n = 42 + -30. Let a be 1/((-1)/3*-1). Solve 0*b**4 + 2*b**4 + 4*b - n*b - 10*b**a + 16*b**2 = 0 for b.
0, 1, 2
Find b such that -4*b - b**3 + 0*b**3 + 3*b**3 + 3*b**2 - b**2 = 0.
-2, 0, 1
Suppose -4*y - 4 = -16. Let g(z) = z**3 + z**2 + 15. Let o be g(0). Let 15*b**2 - o*b**2 + y*b**3 - 3*b = 0. What is b?
-1, 0, 1
Let j(l) = -8*l + 40. Let x be j(5). Let m(d) be the second derivative of -4*d - 1/15*d**4 + 1/75*d**6 + 0*d**3 + x + 1/5*d**2 + 0*d**5. Factor m(o).
2*(o - 1)**2*(o + 1)**2/5
Suppose 2*f + 3*p - 4 = 0, 4*f + 3*p + 4 - 12 = 0. Suppose -3*v**3 + 27*v**f + 8 - v**4 + 8*v**3 - 4*v + 0*v**4 - 33*v**2 = 0. Calculate v.
-1, 2
Let q(w) = w**3 - 4*w**2 - 6*w + 7. Let l be q(5). Solve 4/5*f - 2/5 - 2/5*f**l = 0 for f.
1
Let y(h) be the third derivative of -h**9/272160 + h**7/22680 + h**5/15 - 3*h**2. Let f(p) be the third derivative of y(p). Suppose f(n) = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
lue? (a) l (b) 5 (c) s
b
Let v = -54.1 - -54.6. Let o = -2/81 - 106/81. Which is the smallest value? (a) -1/6 (b) v (c) o
c
Let k = 18.19 - 0.19. Let p = k + -8. Let y = p - 11. What is the second smallest value in 3, -0.1, y?
-0.1
Let a = -5.5 - -5. Let k = -1.4 + 1. Let d = -312 + 310. What is the third biggest value in d, k, a?
d
Let g = -0.065 + -0.225. Let d = g + 0.19. Let q be (24/21 - 1) + 0. What is the second smallest value in d, q, 0.2?
q
Let g be 11/26 - (-1)/(-2). Let o = 0.063 - 0.063. What is the fourth smallest value in -4, -2, g, o?
o
Let t be 6/(-4) + (-184)/(-144). Which is the biggest value? (a) -3 (b) -1 (c) 1 (d) t
c
Let t = -1.4 + 1.1. Let k = 256 + -259. What is the second smallest value in -1/4, 4, t, k?
t
Let l = 338 + -326. What is the fourth biggest value in 1/2, l, 1/3, 0?
0
Let m = 150 + -150.079. Let i = 3.079 + m. Which is the second smallest value? (a) -4/3 (b) 4 (c) i
c
Let f = -36 - -36. Let k = 0.4 + f. What is the second smallest value in 1/5, -4/7, 0.02, k?
0.02
Let s = 0 - -0.5. Let g = -273.1 - -274.1. Which is the smallest value? (a) s (b) 6/11 (c) 0.3 (d) g
c
Let v = -3.7 - -3.7. Let k be (-36)/65 + (-4)/(-10). Let j = 4.7 + -5. What is the biggest value in k, j, v?
v
Let t = 0.194 - 0.054. Which is the second biggest value? (a) 2/7 (b) t (c) -0.08
b
Let v be 2/1 - (6 - -157). Let r = v + 809/5. What is the smallest value in r, -5, -1/3?
-5
Let p = -1502 + 1500. Let v = 1 + -1.2. Which is the second smallest value? (a) v (b) 0 (c) p
a
Let p = 218.2 - 233.2. Which is the third biggest value? (a) -1 (b) p (c) -0.5
b
Let l(h) = 4*h. Let s be l(3). Let j(r) = r**3 - 13*r**2 + 13*r - 8. Let o be j(s). Which is the third biggest value? (a) o (b) -1/5 (c) -2/9
c
Let h = -5993/11978 + 2/5989. Which is the smallest value? (a) -16/11 (b) h (c) 1
a
Let j be (27/(-6) - -5) + 262/(-4). Let r = j + 64. Suppose 0 = o - 3. What is the biggest value in o, 4, r?
4
Let d = 1 - 6. Let w be -1 - (-1)/((-2)/(-30)). Let z = w - 13. Which is the smallest value? (a) z (b) 2 (c) d
c
Let h = -94 - -100. Which is the second biggest value? (a) h (b) 0 (c) 5
c
Let g = -0.147 - 0.053. Which is the third biggest value? (a) 4 (b) g (c) 2
b
Let h = 42 - 39. Let f = -1 - -5. Suppose h*g = 4*g + 3*a - 3, 20 = -4*g + f*a. What is the third biggest value in g, 3/4, 2/3?
g
Let y = -30 + 26. Let z = -697/4 + 174. Which is the fourth smallest value? (a) 5 (b) y (c) z (d) -8
a
Let r = -3.8 - -0.2. Let l = -7.6 - r. What is the third smallest value in l, -0.03, -5?
-0.03
Let u = -1.3 + 1.48. Let c = 0.052 - 0.032. Let o = u + c. What is the smallest value in -0.1, o, 0.5?
-0.1
Let z(t) = t + 0*t - t - 3*t. Let f be z(0). Which is the smallest value? (a) f (b) -2 (c) -0.2
b
Let v = 122809/37425 - 34/499. Let l = v - 47/15. Which is the third smallest value? (a) -2 (b) l (c) -4
b
Let y = -0.41 + 122.41. Which is the second biggest value? (a) y (b) -0.1 (c) -1/4
b
Let y = 0.0487 - 0.8487. What is the biggest value in 2/5, -2/3, y?
2/5
Let z be -3 - -6*10/(-15). Let o be -2*(-3)/(-12)*4/z. What is the fourth biggest value in -5, o, 3/7, -0.5?
-5
Suppose -13*f = -5*f + 64. Let q be (f/12)/(-3*1). What is the third smallest value in 4, q, 0.5?
4
Let p(l) = -l**3 + 8*l**2 - 11*l - 8. Let o be p(8). Let z = o - -94. Which is the biggest value? (a) -5 (b) z (c) -0.1
c
Let s = 17 + -7. Let v be (-4)/s + 13/(-5). Let g = 6.3 - 1.3. What is the third biggest value in -5, v, g?
-5
Let h = -7.7 - -37.7. Let k = -28 + h. Which is the third biggest value? (a) -0.2 (b) k (c) 5
a
Let m = 5.33 - 8.42. What is the biggest value in -0.5, m, 0.1?
0.1
Let i = 78 - -27. Let m be 20/i*(-1)/2. Let l be 1 - 0 - (-2)/(-10). Which is the smallest value? (a) l (b) 1 (c) m
c
Let y = 32.65 - 32.15. Which is the biggest value? (a) y (b) 2/9 (c) 2/5 (d) -0.4
a
Suppose 0 = -5*u + r + 23, 3*u = -48*r + 49*r + 15. What is the second biggest value in u, 2.1, -3?
2.1
Let o(d) = -d**2 + 4*d + 12. Let r be o(6). Suppose -x + 5*w - 24 = r, 5*x + 0*w + 32 = 3*w. What is the second smallest value in x, -2, 0.1?
-2
Let j = 3 - 5. Let z be ((-2)/(-21) + 2/(-3))/((-282)/329). Which is the second biggest value? (a) 0.2 (b) z (c) -1/2 (d) j
a
Let p = -0.39 + -5.61. What is the smallest value in 3/2, p, 0, -13?
-13
Let y = -653.5 + 653. What is the second biggest value in 1/4, y, -11?
y
Let y be (-10)/(-12) + ((-10)/(-4) - 2). Suppose 3*a + g = -0*g + 11, 3*a = -5*g + 31. Let u be (a/(-3))/(10/3). What is the second biggest value in 0.03, u, y?
0.03
Let h = -4.6 - 0.4. Let u(f) = f + 8. Let g be u(-9). Which is the second smallest value? (a) g (b) 4 (c) h
a
Let x = -11602/25 + 464. Let g be (-36)/81 + 22/9. Let b be -1 - (-3 - g)/5. What is the second biggest value in b, -2/7, x?
x
Let j = -70.9 - -71. Which is the second biggest value? (a) 4 (b) -20 (c) j
c
Suppose -580 - 533 = -7*u. Let c = u + -803/5. What is the biggest value in -3/4, 0, c?
0
Let s be -2*(-3)/(-198)*-6. What is the fourth smallest value in 7, s, -3, 5?
7
Suppose 2*i = 4*g, 3*g - 20 + 5 = -i. Which is the second smallest value? (a) 3 (b) 0.04 (c) i
a
Let t = 9 + -9.5. Let p = 4 - 3. Which is the second smallest value? (a) t (b) 3 (c) p
c
Let v = 1 + -3. Let y = v + 1.9. Let g = 4634 - 4634.4. Which is the second smallest value? (a) g (b) -4 (c) y
a
Let u = 96 + -86. Let g = -9 + u. What is the second smallest value in 1/10, g, 2/3, 0.4?
0.4
Let n = -24.8 - -19.8. Let x(t) = -t - 6. Let v be x(-6). What is the second smallest value in v, n, 0.5?
v
Let y = 439 + -437. Which is the fourth smallest value? (a) -2 (b) -4/7 (c) y (d) 0
c
Suppose -g - 2*d = 0, 3*g + 4*d + 23 - 25 = 0. Which is the second smallest value? (a) g (b) 12 (c) -0.5
a
Let g = 17.4 - 15.4. Let i be 8/(-20) - (-6)/15. Which is the third smallest value? (a) -0.3 (b) 2/11 (c) i (d) g
b
Let s = 69 + -74. Which is the fourth biggest value? (a) 0 (b) 5 (c) s (d) -1/2
c
Let l = -3/29 - 23/58. Suppose 9*i - s = 6*i + 37, 2*i - 4*s - 38 = 0. Which is the third biggest value? (a) l (b) i (c) 0
a
Let y = 43.61 - 13.43. Let p = 30 - y. Let x = -0.82 + p. Which is the third smallest value? (a) 0.2 (b) -3/4 (c) x
a
Let f(p) = -22*p + 6. Let i be f(-3). Let q = -73 + i. What is the third biggest value in -2/11, q, -0.03?
q
Let j = -3.66 - -1.66. Which is the smallest value? (a) 0.2 (b) -5 (c) -0.3 (d) j
b
Let w = 0.25 + -0.05. Let h = -15 - -13. Which is the biggest value? (a) h (b) 0 (c) w
c
Let x = -4.6 - -4.96. Let m = x - -2.54. Which is the biggest value? (a) -0.4 (b) -1 (c) m
c
Let a = 2.643 + -2.6. Let u = -2.957 - a. What is the second biggest value in u, 0.07, -4?
u
Let a = -2 + 8. Suppose -2*i = -4*i - a. Let j = 380/3 - 253/2. What is the second biggest value in 0.2, j, i?
j
Let m = 45254 + -1493546/33. Let z = m - -54/11. Which is the smallest value? (a) -0.2 (b) z (c) 0.5
a
Let q be (-4 + 60/16)*2. Which is the fourth biggest value? (a) 0 (b) 1/44 (c) 1/2 (d) q
d
Let w(p) = -15*p + 89. Let s be w(6). Which is the third biggest value? (a) s (b) 0.09 (c) 3/4 (d) 0.4
b
Let w = 6.4 + -7. Let r = 1.8 - 1.9. Let p = w - r. Which is the second biggest value? (a) 7 (b) p (c) 1
c
Let y = 1591 + -11139/7. Which is the second biggest value? (a) 1 (b) y (c) 65
a
Suppose -1 = -l + 3, 2*x + 2*l - 18 = 0. Let p = -19.4 + 16. Let h = p - -3.9. What is the third smallest value in h, x, 2?
x
Let q(s) = s**3 - s**2 + 12. Suppose 4*y = -0*y. Let n(d) = -d**3 + d**2 + d. Let j be n(y). Let c be q(j). What is the third biggest value in c, 0.1, -0.2?
-0.2
Let j = 32.7 - 37.7. What is the second biggest value in j, 31, -4/9, -0.3?
-0.3
Let m = 2.01 - 0.01. Suppose 0*t + 4*t - 7 = 5*i, -t + 6 = 3*i. Suppose 30 = 2*b + 2*w, -47 - 6 = -t*b - 5*w. What is the second biggest value in m, 4/3, b?
m
Let i = -3.06 - -3. Let b = i - -0.06. Let g = b - -2. What is the biggest value in -4, g, 2/3?
g
Let g = 0.339 - 0.339. Let l = 91/20 + -33/10. Which is the third biggest value? (a) 0.11 (b) g (c) l
b
Let y be 2 - (8/(-56) + 2). What is the smallest value in -7, -0.2, 3, y?
-7
Suppose -5*w + 5 = -0*w. Let t = -5.9 + 0.9. What is the smallest value in w, 4
|
{
"pile_set_name": "DM Mathematics"
}
|
+ s + l*o**2 and give l.
-300
Rearrange (y**2 - 18*y + 15*y + 0*y**2)*(5 - 20 - 12) + (-y - 2*y + 5*y)*(2*y - 4*y + y) - 2*y**2 - 3*y**2 + y**2 to r*y + q*y**2 + j and give r.
81
Rearrange 8*c + 2*c - 3*c + (-c - 3*c + 5*c)*(141 - 50 - 530) to the form q + b*c and give b.
-432
Rearrange 73359*r + 3 - 36680*r - 36678*r - 23*r**4 + r**3 + r**2 to the form m*r**3 + n*r**2 + w*r + t + o*r**4 and give t.
3
Rearrange (-1618*i + 8598*i + 2303*i + 681*i + 3743*i + 11522*i)*(-i**2 - i + i) to h*i**3 + g*i**2 + u + p*i and give h.
-25229
Express -w**3 - 3365*w**2 - 1 - 2*w + 1130*w**2 + 1123*w**2 + 4*w**3 + 15*w**4 + 1118*w**2 in the form z*w + y + x*w**3 + f*w**2 + b*w**4 and give b.
15
Rearrange -2*c + 20*c**4 - 314*c**3 + 9*c**4 + 49*c**4 + 3*c**2 - 5*c**2 + 4 + 312*c**3 to m*c + g*c**3 + t + r*c**4 + z*c**2 and give r.
78
Rearrange (-1 + 1 - k)*(3 + 1 - 3)*(5 + 2 - 2) + (4*k + 2*k - k)*(-2 - 2 + 2) + (0 + 0 + 2)*(-5 + 5 + 9*k) to h + z*k and give z.
3
Express (4 - 6 - 4)*(1 + 407*m + 1051*m + 167*m) in the form j + f*m and give j.
-6
Rearrange ((-5 - 4 + 7)*(-2*n - 4*n - n) + n + n + 0*n)*(-2*n - n + 4*n)*(64 - 62 - 73) to the form k*n**2 + q + j*n and give k.
-1136
Express (-2 + 2 + 2)*(0*p + 0*p - p)*(-21 + 3 + 3)*(14 - 3 - 106)*(-1 + 2 + 1) as g*p + z and give g.
-5700
Rearrange (-2 + 0 + 1)*(13 - 2701*i**3 + 7267*i**3 - 17 + 5)*(1 - 2 + 0) to the form v*i**2 + m*i**3 + n*i + k and give k.
1
Express -1633*a**2 - 3262*a**2 + 258*a - 256*a as j + g*a**2 + f*a and give g.
-4895
Express (95 + 83 - 54)*(-t + 2*t + 0*t + (-3 + 3 + 1)*(-5*t + t + 2*t) + 0*t - 10*t - t) in the form f + h*t and give h.
-1488
Express 10*v**2 - 54*v + 2 + 34*v - 15*v**2 - v**4 + 3*v**2 - 3*v**3 in the form x*v**2 + w + p*v**4 + m*v**3 + l*v and give m.
-3
Rearrange -807*i - 1131 - 1121 + 2252 to the form c + r*i and give r.
-807
Rearrange -51 + 5*r**4 - 70*r**3 + 35*r**3 - 46 + 33*r**3 + 2*r - 13*r**2 + 103 to w*r**3 + v*r**4 + i*r + j*r**2 + f and give v.
5
Rearrange (-2*s + 0*s + 8*s)*(0*s - 4*s + 5*s) + 226*s**2 - 11*s**2 + 67*s**2 to d*s**2 + v + b*s and give d.
288
Express 3848 - 2628*a - 4543*a - 7661 + 3813 as i + l*a and give l.
-7171
Rearrange -73*p**3 - 4*p**4 + 45 - 46 + 73*p**3 + 3*p - 3*p**2 - 73*p to the form h*p**2 + a*p + i*p**3 + c*p**4 + k and give h.
-3
Rearrange (-j**4 - 4*j**2 + 4*j**2)*(604 + 109 - 278 + 706 + 762) to c + o*j**4 + z*j**3 + x*j + n*j**2 and give o.
-1903
Rearrange -650*l**2 + 336*l**2 + 8*l + 3 + 356*l**2 to the form n*l + z + q*l**2 and give z.
3
Rearrange (4 - 5 + 4)*(3*i**2 + 2*i**2 - 6*i**2)*(2 - 2 - 4 + (-2 - 2 + 2)*(-2 + 2 + 3)) to r + w*i + f*i**2 and give f.
30
Rearrange (-388*y**2 + 33*y**2 - 1020*y**2)*(-1 - 1 + 3) to the form q*y + b*y**2 + h and give b.
-1375
Rearrange -281*x + 6 - 2 - 330*x + 235*x - 9 to i*x + b and give i.
-376
Express (3 - 23*d - 3 + (0 + 0 - 2)*(-7*d + 2*d - d))*(4*d - 7*d - 3*d) in the form x*d**2 + c*d + f and give x.
66
Express 11*k**2 + 0*k**2 + 254*k**3 - 253*k**3 + 19*k**2 - 58 in the form w*k**2 + o*k**3 + g + j*k and give g.
-58
Express 74*g**4 - 73*g**4 + g - 4*g + 6 + 6*g - 4*g - 3*g**2 in the form t*g**4 + r*g**3 + y*g**2 + f*g + l and give f.
-1
Rearrange -583*o**3 - 3*o - 48*o**2 - 586*o**3 - 582*o**3 + 1745*o**3 to the form w + u*o**2 + f*o + n*o**3 and give f.
-3
Rearrange 6 - 6 - 4*g**2 + (333 + 286*g**2 - 333)*(3 + 0 - 5) + (-2*g - 1 + 1)*(-6*g + 3*g + g) + g - g**2 - g to k*g**2 + i*g + p and give k.
-573
Rearrange 542*u - 185*u + 1 - u**3 - 5*u**2 - 176*u - 179*u - 6*u**4 to s*u**2 + i*u + w*u**4 + a*u**3 + x and give s.
-5
Rearrange (1 - 1 - z + (-1 - 4*z + 1)*(-9 - 49 - 10))*(0 - 2 + 8) to the form j + y*z and give y.
1626
Express -10 + 1034*d + 200*d - 16 + 20 in the form p*d + f and give p.
1234
Rearrange -85*b - 2447*b - 821*b + 1 - 1 to the form u + k*b and give k.
-3353
Express 3334*c + 2364*c - 2215*c + 9280*c in the form j + w*c and give w.
12763
Rearrange -165*k**2 + 3*k**4 - 8*k**3 + 2 + 0*k**4 + 87*k**2 + 77*k**2 - 2*k + 26*k**3 to the form z*k**4 + h*k**3 + m + i*k + n*k**2 and give m.
2
Express (-1304*d - 172*d - 5*d)*(15*d - 15*d - 3*d**3) in the form n + c*d**4 + a*d**2 + q*d**3 + b*d and give c.
4443
Express (-63630 - 60241 + 10476 - 89982 - 10667 - 101799)*(2*d**2 + 4 - 4) in the form o*d + f + t*d**2 and give t.
-631686
Rearrange (8*f + 38*f - 116*f)*((-1 + 3 - 3)*(2 - 2 + 1) + 5 + 1 - 3) to z*f + v and give z.
-140
Express 6*p**2 - 4*p**2 + 16*p - 26*p - 14*p**3 + 12*p - 3*p**2 in the form u*p + r*p**3 + i*p**2 + j and give i.
-1
Rearrange (-101757 + 101757 - 341*n)*(-7 - 4 - 17) + 3 - n - 3 to z + p*n and give p.
9547
Rearrange (-5*l - l - l)*(22 - 19 - 12) + 2*l + 2 - 2 + (-l - 3*l + 2*l)*(-2 + 2 - 1 + (6 - 3 - 2)*(-4 - 3 + 0)) to x*l + n and give x.
81
Express 6*i**2 - 15*i**2 + 4*i**2 - 2123*i + 7*i**2 in the form u + o*i**2 + r*i and give o.
2
Rearrange (2 + 4 - 1)*((1 + i - 1)*(2 + 3 - 6) + 68*i - 54*i + 22*i) - 3*i + 2*i - 3*i + (-3 + 0 + 1)*(2 - i - 2) to p*i + c and give p.
173
Express (3 - v**2 - 3)*(54 + 52 - 109)*(-3 + 15*v + 3)*(-3 - 1 + 1) in the form k*v**2 + s*v + u*v**3 + j and give s.
0
Express (-28*j**3 + 193*j**2 + 84*j**3 - 55*j**3)*(4*j - 3*j - 2*j) as z*j**3 + t*j**2 + b*j + a + u*j**4 and give z.
-193
Rearrange -10*w**2 + 2 + 4358*w - 4366*w - 2*w**2 - 54*w**2 to the form z*w**2 + v*w + j and give z.
-66
Rearrange (-p + 4*p + 0*p + (0 + 1 - 3)*(-137*p + 75*p + 196*p))*(4*p**2 + 15*p**2 + 27 - 29) to the form o*p**2 + w + n*p + x*p**3 and give n.
530
Express -5405 + 1098*t**2 - 5379 + 10783 + t as a*t + g + x*t**2 and give x.
1098
Rearrange -203 + 815 - 205 - 199 + 96*n - 203 to the form h*n + s and give h.
96
Express (-2 - 4 + 2)*(18 + 19 - 39)*(-b**3 + 7*b**3 + 4*b**3) as g*b**2 + w*b + n*b**3 + f and give n.
80
Express 6*t**3 + 5*t + 4*t - 8*t - 17*t**2 - 7*t**3 - 8*t**2 in the form x*t**3 + m*t**2 + y + b*t and give b.
1
Rearrange 73*g**3 - 661 - 736 - 19*g - g**2 + 1399 to the form x*g**2 + p*g + s*g**3 + t and give t.
2
Rearrange (2 + 2 - 5)*(3 - 3 - 2*t) - 4*t - t + t + 4*t - 4*t - 2*t + 415*t + 417*t - 217*t to the form q + w*t and give w.
611
Express (1 - 38*m + 15*m + 20*m)*(-39 - 357 + 45) as h + v*m and give h.
-351
Express (20327 - 38470 + 30838)*(1 + o - 1) as g*o + k and give g.
12695
Rearrange m**3 + m**2 + 15 + 19 - 9*m + 15*m - 6*m + m + 5*m**4 to the form z*m**2 + c*m**4 + k + x*m + t*m**3 and give c.
5
Express -u - 38*u**4 - 66*u**4 + 29 - 65*u**4 - 23 + u**2 in the form v*u**2 + p*u**3 + x + t*u**4 + o*u and give v.
1
Express 3*r**2 - 842*r - 2*r**2 - 1 - 3*r**4 + 816*r - 8*r**3 + r**4 in the form f*r**4 + w*r**2 + c + o*r + j*r**3 and give w.
1
Express 13 + 13 + 1598*l + 8 - 34 - 2*l**2 in the form t*l**2 + r + b*l and give b.
1598
Express (-2*o - 5*o + 0*o)*(0 + 3 - 2) + 22*o - 4*o - o - 5*o - 11*o + 11*o + 0*o - 4*o + 2*o as y + b*o and give b.
3
Rearrange (63 - 22 + 10)*(-17 - 10 - 3*s + 22) to the form j + y*s and give y.
-153
Express (-6 - 13 - 7)*(5*l - 2*l - l)*(-l + 25*l**3 - 44*l**3 - 3*l**2 + 21*l**3) in the form n*l**2 + x*l**3 + v + a*l**4 + z*l and give x.
156
Rearrange (-6005*n**2 + 15711*n**2 + 13991*n**2)*(-5 + 5 + 3*n)*(5 + n - 5) to f*n**4 + y*n + t*n**3 + c*n**2 + d and give f.
71091
Rearrange (3 - 1 - 1)*(-17946 + 13263 + 127704 + 126621)*(0 + 0 + 2*w) to n*w + p and give n.
499284
Rearrange 3 - 3 + 107873*a - 104250*a + 0 to o + u*a and give u.
3623
Express -23852*h - 23850*h + 47701*h - 82*h**2 + 20 as o*h + g*h**2 + i and give g.
-82
Rearrange (-8*k + 14*k - 2*k - 80*k**2)*(2 + 0 - 1) to q + u*k + g*k**2 and give q.
0
Rearrange (-3*m**3 - 3*m**3 + m**3)*(-4 + 9 + 1 + 5 + (-18 - 36 - 32)*(-4 - 3 + 6)) to p*m + a + s*m**2 + o*m**3 and give o.
-485
Express 438*c - 629*c + 2 + 565*c as t + u*c and give t.
2
Express (4*y - 4*y - y + (0 - y + 0)*(2 - 2 - 2) - 1 + 1 + 2*y)*(-52*y**2 + 24*y**2 + 52*y**2) as i*y**3 + z + n*y + u*y**2 and give z.
0
Rearrange -71*j**2 - 268*j**2 - 3461 + 3453 - 89*j**2 to l*j**2 + n*j + a and give a.
-8
Express 5*q**3 + q**3 + 4*q**3 - 15*q**3 - 6*q**3 - 6*q**3 + (q**2 + 0*q**2 - 2*q**2)*(0*q + 0*q - 3*q) as y*q + t*q**2 + k + d*q**3 and give d.
-14
Rearrange -264315*a + 398*a**3 + 264315*a + (a**3 + a**3 + 0*a**3)*(5 - 2 + 0) to t*a**3 + d + m*a**2 + o*a and give o.
0
|
{
"pile_set_name": "DM Mathematics"
}
|
*c**3 - 123*c
Let y(u) = 51*u**3 + u**2 - 5*u - 5. Let i(j) = 51*j**3 + j**2 - 4*j - 4. Calculate 5*i(p) - 4*y(p).
51*p**3 + p**2
Let z(t) = -t**3 - t**2 + t + 1. Let d(k) = -6*k**3 - 500*k**2 + 5*k + 5. Give d(f) - 5*z(f).
-f**3 - 495*f**2
Let s(c) = 0*c**2 + 4*c**2 + 4 - 2*c**3 - 1 - c**2. Let a(m) = -25*m**3 + 40*m**2 + 40. Suppose -20*b + 680 = -37*b. Calculate b*s(v) + 3*a(v).
5*v**3
Let c(y) = 6*y**3 - 5*y**2 + 8*y + 5. Let w = 643 - 647. Let o(v) = -4 - 7*v - 13*v**3 + 3*v**2 + v**2 + 8*v**3. What is w*c(j) - 5*o(j)?
j**3 + 3*j
Let l(u) = 5*u + 8. Let g(y) = -14*y - 25. Determine -6*g(w) - 17*l(w).
-w + 14
Let j(t) = 83*t + 2. Let k(a) = a. Give -j(u) - k(u).
-84*u - 2
Let o(z) = -3*z + 2*z**3 + 17 - z**3 + 5*z**3. Let i(d) = -4 - 2*d**3 + 4*d - 2 - 2*d - d. What is 17*i(a) + 6*o(a)?
2*a**3 - a
Let o(h) = 4*h - 17. Let z(t) = -8*t + 34. Let y(c) = -13*o(c) - 6*z(c). Let l(w) = 11*w - 50. Calculate -6*l(n) - 17*y(n).
2*n + 11
Let f(o) = 25*o - 100. Let p(z) = -3*z + 11. Calculate -6*f(s) - 55*p(s).
15*s - 5
Let n(x) = -3*x**2 + 7*x - 7. Suppose -6 = 3*z + 51. Let i = -26 - z. Let k(b) = b**2 - 2*b + 2. Give i*k(r) - 2*n(r).
-r**2
Let m(j) = -9*j - 696. Let d(w) = -13*w - 1043. Calculate -5*d(o) + 7*m(o).
2*o + 343
Let s(c) = 9*c + 287. Let b(v) = -20*v - 579. Give 6*b(k) + 13*s(k).
-3*k + 257
Let j(l) = 155*l - 45. Let t = -44 - 46. Let d(z) = -7*z + 2. What is t*d(a) - 4*j(a)?
10*a
Let n(h) = -234*h + 1. Let v(p) = 235*p - 2. What is 4*n(w) + 3*v(w)?
-231*w - 2
Let n(s) = -2 + 2 + 3 + 185*s**2 + 8*s - 202*s**2. Let q(l) = 4*l**2 - 2*l - 1. Determine -2*n(w) - 9*q(w).
-2*w**2 + 2*w + 3
Let t(k) = 33*k**2 - 3*k - 3. Let x(y) = -y**2 - 1. Give -t(d) + 5*x(d).
-38*d**2 + 3*d - 2
Let n(l) = 376475*l**3 + 1375*l**2 + 2750*l - 1375. Let b(o) = 548*o**3 + 2*o**2 + 4*o - 2. What is 1375*b(p) - 2*n(p)?
550*p**3
Let q(x) = -x + 3. Let n(b) = -b + 7. Let i be 25/(-10)*(-21)/(-45)*12. What is i*q(h) + 6*n(h)?
8*h
Let o be (1/(-2))/(2/8). Let d(m) = -m + 2. Let j(h) = 1. Let q(p) = o*j(p) + d(p). Let r(w) = -1 + 0 + 0 + 3. Give 2*q(u) + r(u).
-2*u + 2
Let m(u) = -3*u + 23. Suppose -25*w + 40 = -35*w. Let z(j) = -j + 13. Let h(g) = 1. Let p(k) = -5*h(k) + z(k). Give w*m(o) + 11*p(o).
o - 4
Let z(a) = -8*a. Suppose 6*x + 3 + 45 = 0. Let o be (12 - 16)*(1 + 30/x). Let l(n) = -15*n. Calculate o*z(p) - 6*l(p).
2*p
Suppose -45*d = -36*d + 144. Let f = 23 + d. Let w(h) = 7*h**3 - 5*h**2 - 5*h. Let q(s) = 10*s**3 - 8*s**2 - 7*s. Calculate f*w(a) - 5*q(a).
-a**3 + 5*a**2
Let q(y) = -3*y**2 - 2*y - 3. Suppose -g + 37 - 47 = 3*w, -12 = 2*g - 2*w. Let p(o) = 4*o**2 + 6*o + 6*o**2 - 4 + 13. What is g*q(m) - 2*p(m)?
m**2 + 2*m + 3
Let w(b) = 2*b + 4. Let x(d) = -6*d - 12. Let j(q) = -7*w(q) - 2*x(q). Let s be (4 + 1)*8/10. Let n(i) = 15*i - 7*i - s*i + 7. Give -5*j(a) - 3*n(a).
-2*a - 1
Let t(c) be the third derivative of c**4/12 + 2*c**3 - 155*c**2. Let v(f) = -f - 6. Calculate -3*t(k) - 5*v(k).
-k - 6
Let q(b) be the first derivative of -b**2/2 + 2*b + 185. Let a(h) = 2. Calculate 3*a(o) - 2*q(o).
2*o + 2
Let i(u) = -u**3 + 1. Let j(a) = -7*a**3 + 2*a**2 + 12*a + 4. Give -5*i(h) + j(h).
-2*h**3 + 2*h**2 + 12*h - 1
Let d(w) = -215*w**2 + w - 8. Let f(l) = -431*l**2 + 2*l - 18. Determine 9*d(g) - 4*f(g).
-211*g**2 + g
Let z(x) = -15*x - 48. Let u be z(-7). Let k(d) = u*d + 2 - 32*d - 27*d. Let q(v) = v - 1. What is -4*k(f) - 6*q(f)?
2*f - 2
Let c(n) = -2*n**2 - 9*n - 5. Let y(r) = 267*r**2 + 5*r + 3 + 267*r**2 - 533*r**2. What is -4*c(a) - 7*y(a)?
a**2 + a - 1
Let h(u) = 2*u - 6. Suppose 14*z - 36 = 34. Let t(d) = -2*d + 5. What is z*h(x) + 6*t(x)?
-2*x
Suppose 0 = -5*u - 3*j + 11, 0*j - 6 = 4*u - 5*j. Let s = 67 - 66. Let y(d) = 2*d - 3*d + 1 + 2 - 4. Let g(t) = -t - 1. What is s*g(z) + u*y(z)?
-2*z - 2
Let o(j) = -3*j + 5. Let f(s) = 5*s - 8. Suppose 0 = 5*i, 4*g + 6*i + 16 = 2*i. Let h be (1/g)/(4/(-16)). Suppose -h = -5*k + 39. Give k*o(d) + 5*f(d).
d
Suppose 3*k - 6 = -3*x, -3*x + 0 = -k + 14. Let f(d) = -d - 1. Let u(a) = -6*a. What is k*f(p) - u(p)?
p - 5
Let o(c) = 2*c + 5. Let w(z) = -z**3 + 6*z**2 - 3*z - 7. Let n be 1/(((-4)/10)/(-2)). Let u be w(n). Let v(f) = -u*f + 4 - 3 - 8. Give 7*o(g) + 5*v(g).
-g
Let r(a) = 2*a**3 + 4*a + 8. Let q(u) = -u**3 - u - 3. Suppose 0*c + 6 = 2*c. Give c*r(m) + 8*q(m).
-2*m**3 + 4*m
Let t(m) = -m - 1. Let b(y) = y**2 + 4*y + 24. Calculate -b(i) - 5*t(i).
-i**2 + i - 19
Let t(m) = -4*m**3 + 4*m**2 - 5. Let p(x) = 9*x**3 - 6*x**2 + 12. What is 2*p(k) + 5*t(k)?
-2*k**3 + 8*k**2 - 1
Let o(h) be the first derivative of h**2/2 - 4*h - 1. Suppose -2*p = 7*p + 18. Let m = -5 - 0. Let t(a) = 2. What is m*t(x) + p*o(x)?
-2*x - 2
Let h(c) = c**3 - 23*c - 11. Let d be h(5). Let a(o) = 3*o + 3. Let g(r) = r + 1. Let j(v) = a(v) - 4*g(v). Let f(n) = -7*n - 3. Determine d*f(x) + 4*j(x).
3*x - 1
Let s(m) = m**2 - 1. Suppose 16 = 10*j - 6*j - 3*a, 2*j + 4*a = -14. Let i(w) = -6*w**2 - w + 2. Determine j*i(p) + 4*s(p).
-2*p**2 - p - 2
Let h(n) = 750*n + 8. Let y(s) = 94*s + 1. Give -6*h(l) + 51*y(l).
294*l + 3
Let r(b) = b**2 + 36*b + 4. Let x(w) = w. Give -r(v) + 5*x(v).
-v**2 - 31*v - 4
Let y(m) = -m**3 - 4*m**2 + m + 1. Let n(l) = -l - 9. Let q be n(-5). Let d be y(q). Let u(a) = a**2 + 1. Let j(z) = 8*z**2 + 7. What is d*j(s) + 21*u(s)?
-3*s**2
Let s(j) = 3*j + 2. Let p(k) be the third derivative of -k**5/120 - 3*k**4/8 + 8*k**2. Let y(f) be the second derivative of p(f). Calculate -s(i) - 2*y(i).
-3*i
Let s(g) = 10*g**2 - 25*g - 4. Let o(l) = 21*l**2 - 49*l - 7. What is 4*o(i) - 7*s(i)?
14*i**2 - 21*i
Suppose b + 42 = 3*b. Let q(r) = 51*r + 21. Let j(h) be the first derivative of 5*h**2/2 + 2*h - 80. Determine b*j(p) - 2*q(p).
3*p
Suppose -6*x = -15*x + 45. Let w(d) = -77*d + 148*d - 80*d. Let g(b) = 22*b. Determine x*g(i) + 12*w(i).
2*i
Let q(p) = -3*p - 1. Let j(u) = 38*u - 459. Let s be j(12). Let w(z) = -2*z - 1. Calculate s*q(l) + 5*w(l).
-l - 2
Let y(q) = -3*q + 7. Suppose 0 = 2*t + 4*j - 10 - 2, -2*t - 5*j + 16 = 0. Let z(g) = g - 2. Let s = -7 + 0. Determine s*z(h) + t*y(h).
-h
Let b(r) = -15*r**3 - r**2 - 9*r. Let g(a) = -7*a**3 - 4*a. Calculate -2*b(q) + 5*g(q).
-5*q**3 + 2*q**2 - 2*q
Let t(n) = -n**3 + 1. Let y(h) be the third derivative of -h**6/120 + 835*h**2. Suppose 0*b = -3*b - 3*i - 9, 4*b = -2*i - 10. Give b*t(l) + 4*y(l).
-2*l**3 - 2
Let s(y) = -25*y + 44. Let l(k) = 12*k - 21. Calculate 7*l(a) + 3*s(a).
9*a - 15
Let u(n) = n**3 - 5*n**2 + 5*n + 1. Let l(c) = c**3 - 6*c**2 + 6*c + 2. Suppose -3*s = b + 2*b - 30, 3*b = 5*s - 10. Let w = 7 + -13. What is s*l(k) + w*u(k)?
-k**3 + 4
Let y(q) = -2*q**3 + 7*q**2 - 17*q. Let t(h) = -h**3 + 3*h**2 - 8*h. Let i = -21 - 28. Let j = -58 - i. Calculate j*t(v) + 4*y(v).
v**3 + v**2 + 4*v
Let w(m) = 14*m - 7. Let d(t) be the second derivative of 7*t**3/6 - 3*t**2/2 - 19*t - 3. Give 7*d(x) - 3*w(x).
7*x
Let v(g) = -2*g**2 + 6*g. Suppose 7*m = 4*m - 3*w - 60, -4*w = -5*m - 109. Let i = 34 + m. Let z(h) = -3*h + 2*h - i + h**2 + 13. Give v(q) + 4*z(q).
2*q**2 + 2*q
Suppose -2*b = -6*b. Let x(m) = b*m + 1 - 4*m + 5*m. Let v(w) = -58*w + 0*w**3 + 117*w - 3*w**3 + w**3 - 3 - 60*w. Determine v(l) + 3*x(l).
-2*l**3 + 2*l
Let p(w) = w**2 + 19*w - 4. Let c(o) = o**2 + 5*o. Let a(z) = 2*c(z) - p(z). Let k(q) = -2*q**2 + 18*q - 7. Calculate -7*a(i) - 4*k(i).
i**2 - 9*i
Let h(o) be the first derivative of -7 - 5*o + 1/2*o**2. Let f(t) = -4*t + 28. Let n(j) = 2*j - 14. Let p(x) = -3*f(x) - 7*n(x). Calculate -8*h(v) - 3*p(v).
-2*v - 2
Let p be ((-1)/(-2))/((-5)/20). Let w(c) be the first derivative of -3*c**2/2 - c - 95. Let f(x) = -x. Calculate p*w(d) + 5*f(d).
d + 2
Let f = -403 + 405. Let c(q) be the third derivative of 0 - 1/24*q**4 + 0*q**3 + 11*q**f + 0*q. Let z(p) = 4*p + 2. Give -6*c(g) - z(g).
2*g - 2
Let i(h) = -6*h - 7. Let w(r) = -10*r - 8 + 2 + 5*r. What is -4*i(s) + 5*w(s)?
-s - 2
Let z(a) = -5*a**3 + 8*a**2 + 8*a + 2. Let l(h) = 3*h**3 - 5*h**2 - 5*h - 1. Let v = -121 - -90. Let g be (-15)/60 + v/4. Determine g*l(r) - 5*z(r).
r**3 - 2
Let s(w) = -313*w**3 - 5*w - 4. Let t(n) = -156*n**3 - 3*n - 2. What is 3*s(a) - 5*t(a)?
-159*a**3 - 2
Let l(o) = -2*o - 6. Let m be l(-4). Let z(v) be the first derivative of -5 + 9 + 2*v**2 + 13 + 3*v. Let k(g) = 5*g + 4. Give m*k(s) - 3*z(s
|
{
"pile_set_name": "DM Mathematics"
}
|
1 o and 1 g when two letters picked without replacement from ojjouuegddjude?
2/91
Two letters picked without replacement from {j: 1, i: 1, h: 5, y: 1, k: 1}. Give prob of picking 1 i and 1 h.
5/36
Four letters picked without replacement from rcorcrorrorcrrrcroc. What is prob of picking 1 r, 1 c, and 2 o?
25/323
What is prob of picking 4 u when four letters picked without replacement from {u: 4, r: 2, c: 5}?
1/330
What is prob of picking 2 v when two letters picked without replacement from vovvovoovo?
2/9
What is prob of picking 2 s, 1 c, and 1 x when four letters picked without replacement from mxsslamcaala?
1/495
What is prob of picking 1 h and 1 g when two letters picked without replacement from {y: 3, g: 3, h: 5}?
3/11
Calculate prob of picking 2 h, 1 g, and 1 c when four letters picked without replacement from {e: 1, u: 6, c: 1, h: 3, g: 1, q: 1}.
3/715
Four letters picked without replacement from anannn. What is prob of picking 1 a and 3 n?
8/15
What is prob of picking 1 z and 2 c when three letters picked without replacement from zczzzc?
1/5
Three letters picked without replacement from kkece. Give prob of picking 1 c and 2 k.
1/10
Three letters picked without replacement from ccnnpcnpncnng. What is prob of picking 1 g, 1 p, and 1 n?
6/143
What is prob of picking 2 f, 1 r, and 1 e when four letters picked without replacement from pssfrffffrrrfeeif?
6/85
Three letters picked without replacement from {s: 2, p: 1, u: 1, m: 1, o: 5}. What is prob of picking 1 u, 1 o, and 1 m?
1/24
Four letters picked without replacement from {m: 2, r: 8, l: 2, p: 1}. Give prob of picking 1 l and 3 r.
112/715
Four letters picked without replacement from {g: 1, f: 2, l: 2, h: 1}. Give prob of picking 2 l and 2 f.
1/15
Two letters picked without replacement from {w: 4, j: 2, y: 1, v: 3}. Give prob of picking 1 v and 1 w.
4/15
Calculate prob of picking 2 r and 1 q when three letters picked without replacement from {d: 1, b: 2, q: 1, l: 3, r: 8, o: 3}.
7/204
What is prob of picking 1 d and 2 a when three letters picked without replacement from aeheedhdhhehadhdhd?
5/816
Four letters picked without replacement from eeopnnxp. What is prob of picking 2 e and 2 n?
1/70
Calculate prob of picking 1 h, 2 e, and 1 q when four letters picked without replacement from {h: 2, q: 8, e: 2, g: 1}.
16/715
Calculate prob of picking 2 p when two letters picked without replacement from {p: 5, z: 10, u: 4}.
10/171
Two letters picked without replacement from {k: 1, y: 2, a: 1, w: 1, d: 1, s: 2}. What is prob of picking 1 a and 1 k?
1/28
What is prob of picking 1 f, 1 d, and 1 h when three letters picked without replacement from fdihh?
1/5
Two letters picked without replacement from {k: 4, u: 3, d: 6, h: 1}. Give prob of picking 2 d.
15/91
Calculate prob of picking 3 f when three letters picked without replacement from fffffffs.
5/8
Three letters picked without replacement from {u: 6, t: 6}. Give prob of picking 1 t and 2 u.
9/22
Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {v: 3, i: 3, t: 1}.
1/7
Three letters picked without replacement from ajafjjfjafcaqaaqcq. Give prob of picking 1 j and 2 a.
5/68
Calculate prob of picking 2 p when two letters picked without replacement from {q: 4, p: 4, h: 3}.
6/55
Two letters picked without replacement from {u: 2, e: 3, h: 1, i: 4, d: 1}. Give prob of picking 1 d and 1 e.
3/55
What is prob of picking 2 a and 2 h when four letters picked without replacement from {l: 1, n: 1, u: 1, a: 3, h: 4, f: 4}?
18/1001
Two letters picked without replacement from {c: 1, f: 1, d: 9, x: 4, m: 4}. Give prob of picking 1 x and 1 m.
16/171
Two letters picked without replacement from {f: 1, c: 7, z: 5, d: 5}. What is prob of picking 1 d and 1 f?
5/153
What is prob of picking 2 t when two letters picked without replacement from rtrqtrqqqttq?
1/11
Two letters picked without replacement from vovooovhovoxo. What is prob of picking 1 o and 1 h?
7/78
Three letters picked without replacement from hyhyfbfbyyyblylf. What is prob of picking 1 f and 2 y?
9/112
Calculate prob of picking 2 b and 1 i when three letters picked without replacement from {i: 2, d: 2, b: 2}.
1/10
Calculate prob of picking 2 u when two letters picked without replacement from {h: 2, u: 4, f: 3}.
1/6
Four letters picked without replacement from {m: 5, a: 3}. What is prob of picking 1 m and 3 a?
1/14
Calculate prob of picking 2 r and 1 n when three letters picked without replacement from {r: 5, n: 3}.
15/28
Two letters picked without replacement from {d: 1, e: 2, w: 1, c: 2, t: 4, i: 2}. Give prob of picking 1 i and 1 d.
1/33
Three letters picked without replacement from jbknjwbs. Give prob of picking 2 w and 1 s.
0
Three letters picked without replacement from {d: 5, r: 3, i: 3}. What is prob of picking 3 d?
2/33
Two letters picked without replacement from npnppnnbnbnnnbnnbnpn. What is prob of picking 2 b?
3/95
What is prob of picking 1 a and 1 b when two letters picked without replacement from ccba?
1/6
Three letters picked without replacement from {z: 1, c: 19}. Give prob of picking 2 c and 1 z.
3/20
Calculate prob of picking 2 v when two letters picked without replacement from hhhvvhh.
1/21
What is prob of picking 3 a and 1 h when four letters picked without replacement from aaaaahhahhaahhah?
21/65
Calculate prob of picking 2 u and 1 g when three letters picked without replacement from {u: 3, b: 4, x: 1, g: 2}.
1/20
Three letters picked without replacement from {e: 5, z: 8}. Give prob of picking 1 z and 2 e.
40/143
Three letters picked without replacement from {g: 5, e: 11}. What is prob of picking 2 g and 1 e?
11/56
Two letters picked without replacement from tkbwtxxfkxtkbtttt. Give prob of picking 1 t and 1 f.
7/136
Calculate prob of picking 1 f, 1 a, and 1 q when three letters picked without replacement from {o: 3, s: 1, q: 1, a: 4, h: 1, f: 2}.
2/55
Three letters picked without replacement from cxxxxcgxg. Give prob of picking 2 g and 1 x.
5/84
What is prob of picking 2 l when two letters picked without replacement from ilili?
1/10
Four letters picked without replacement from xxhxxxh. Give prob of picking 3 x and 1 h.
4/7
Four letters picked without replacement from aakasssuaas. Give prob of picking 1 a and 3 s.
2/33
Three letters picked without replacement from hxhdxhhxww. What is prob of picking 1 x and 2 w?
1/40
What is prob of picking 3 i when three letters picked without replacement from {i: 12, y: 1}?
10/13
What is prob of picking 3 a when three letters picked without replacement from qqaaqqqq?
0
Four letters picked without replacement from vpypypopvvup. What is prob of picking 1 p, 1 y, 1 u, and 1 o?
2/99
Three letters picked without replacement from {h: 2, v: 3, p: 13}. Give prob of picking 3 p.
143/408
Calculate prob of picking 1 p and 2 e when three letters picked without replacement from {g: 8, o: 1, p: 7, q: 1, e: 2}.
7/969
What is prob of picking 1 j, 1 e, and 2 p when four letters picked without replacement from jejjjpeejjepj?
28/715
Three letters picked without replacement from qocqjjjoofjjfjl. What is prob of picking 1 l, 1 q, and 1 c?
2/455
Calculate prob of picking 2 p and 1 l when three letters picked without replacement from {l: 4, h: 1, p: 2, o: 2}.
1/21
What is prob of picking 3 z and 1 w when four letters picked without replacement from {e: 1, z: 1, w: 3}?
0
Calculate prob of picking 1 r and 1 d when two letters picked without replacement from trrdrdr.
8/21
Two letters picked without replacement from juuuj. Give prob of picking 1 j and 1 u.
3/5
Three letters picked without replacement from ggzsghagahgg. What is prob of picking 1 a, 1 s, and 1 z?
1/110
Two letters picked without replacement from wnheenonnwnew. What is prob of picking 1 n and 1 h?
5/78
Calculate prob of picking 1 l, 1 p, 1 d, and 1 b when four letters picked without replacement from {l: 1, d: 1, p: 2, u: 2, r: 1, b: 2}.
2/63
Three letters picked without replacement from tttzlzstltdl. Give prob of picking 3 l.
1/220
Two letters picked without replacement from rrbosrroryo. Give prob of picking 1 r and 1 y.
1/11
Two letters picked without replacement from edvee. What is prob of picking 1 d and 1 e?
3/10
What is prob of picking 1 n and 2 j when three letters picked with
|
{
"pile_set_name": "DM Mathematics"
}
|
. Which is the second smallest value? (a) d (b) g (c) -3/5
a
Suppose -160 = -24*n - 8*n. Let u be 13/(-6) + 2/3. Which is the second biggest value? (a) u (b) -17 (c) n
a
Suppose 0 = 3*r + j + 193, r + 3*j - 136 = 3*r. Let a be (-29)/(-65) - 10/r. Let v = 0.1 - -0.1. What is the second biggest value in 1/4, a, v?
1/4
Let n = -45 + 25. What is the fourth biggest value in 1/2, -0.4, -1/2, n?
n
Let t = 80.9 + -76.9. What is the smallest value in 2.8, t, 0.1?
0.1
Let j be (-78)/(-182) + 16/(-21). Which is the third smallest value? (a) 1 (b) j (c) -1/7
a
Let u be (9 + -4)/((-4)/4). Let y(t) = -t**3 - 4*t**2 + 2*t - 12. Let n be y(u). Which is the second smallest value? (a) n (b) -0.4 (c) -2/3
b
Let r(i) = -i**3 + 7*i**2 - 7*i + 9. Let f be r(6). Let m = 47 + -12. Let y = m - 31. Which is the third smallest value? (a) f (b) y (c) 5
c
Let s = -1.25 + -82.75. Let y = s - -83.5. Which is the smallest value? (a) 1 (b) y (c) 0.1
b
Let s = 441.9 + -442. Which is the second biggest value? (a) 0.44 (b) 1 (c) s
a
Let d be (-88)/12 - -4 - (-2 + -2). What is the third biggest value in d, -3, 4?
-3
Let g = 0.454 - 0.454. Which is the second smallest value? (a) 1/2 (b) -0.1 (c) g (d) 227
c
Let i = 35.2308 + -0.2108. Let h = -35 + i. Which is the second smallest value? (a) 3/2 (b) h (c) -0.1
b
Suppose -d - 4*y = -0 - 7, 0 = -d - 5*y + 6. Which is the second smallest value? (a) -6 (b) d (c) -0.1
c
Let g = -408 - -413. Let w = 1.6 + -2. Which is the smallest value? (a) 4 (b) g (c) w
c
Let w = 1.126 + -0.126. What is the third biggest value in -12, w, 2/5, 0.1?
0.1
Let y = -3.8 + 4. Suppose 0 = 5*t + 3*s - 75, -2*t - 2*s + 6 + 24 = 0. Let g be -1 - (-32)/t - 1. What is the third smallest value in g, -1, y?
y
Let x = -2.62 - -2.52. Let a = 0.12 - 1.02. What is the third smallest value in a, 3, x?
3
Let p = 267 + -267.3. Which is the third biggest value? (a) 3 (b) -2/7 (c) -4 (d) p
d
Let f = 0.2 - 0.2. Let p be (-12 - -6)*8/12. Let w = 0.5 + -1. Which is the second smallest value? (a) w (b) p (c) f
a
Let r = -47.6 - -49.6. Which is the third biggest value? (a) r (b) -6 (c) -1.4
b
Let t = 4.03 + -3.93. What is the biggest value in t, -1/8, 0.5?
0.5
Let x(o) = o**3 + 21*o**2 + 101*o + 41. Let s be x(-14). Which is the second biggest value? (a) 42 (b) 3/2 (c) s
b
Let t be (-93)/(-124)*8/(-9). Which is the biggest value? (a) 9 (b) t (c) 2/3
a
Let q be (-1 + (-15)/(-6))*(-2)/(-24). What is the third biggest value in -97, q, 1?
-97
Suppose -3*w + 2 = -7. Suppose -4*d = -1 - w. Let m = 39568.4 + -39569. Which is the second biggest value? (a) d (b) -0.3 (c) m
b
Suppose 3*w - 5*z - 2 + 9 = 0, 0 = 4*w + 3*z - 10. Which is the smallest value? (a) -4 (b) -2/3 (c) 5 (d) w
a
Let s(m) = m**2 + 5*m + 3. Let j be s(-4). Let k = 55.2 - 55.1. What is the biggest value in j, 1, k?
1
Suppose 7*u = -6*u + 39. What is the third smallest value in -0.2, u, 2/19, -2?
2/19
Let p(l) = -l + 2. Let n = 4 - 5. Let f be p(n). Let w(o) = -o - 1. Let v be w(f). Which is the second biggest value? (a) -2/11 (b) v (c) 0.4
a
Let u = 103.65 + -106. Let m = -0.65 + u. What is the second biggest value in 1, 0.01, m, 0.1?
0.1
Suppose -13*x = x - 280. Which is the second biggest value? (a) x (b) -4/3 (c) 4
c
Let l = 1094/235 - 12/47. What is the fourth smallest value in -0.1, l, 4, 3?
l
Suppose -p - 2*r = 9, -5 + 14 = -5*p - r. Which is the biggest value? (a) -4 (b) p (c) 2/11
c
Let k = -0.201 + 6.201. Which is the third smallest value? (a) k (b) 1/2 (c) 0.6
a
Let z be ((-64)/(-798))/((-5)/75). Let u = -2991/133 - z. Let k = 21 + u. What is the biggest value in -0.5, k, 5?
5
Let h be ((12/22)/2)/1. Let d = -0.3617 - 0.0383. Which is the smallest value? (a) 2 (b) h (c) d
c
Let d = 0 - 0.3. Suppose -4*k - 8 = 0, -2*n - 9 = -5*k - 1. Let h be 1*(-2)/(-16) + n + 9. What is the second smallest value in h, -2, d?
d
Suppose 0*k + 5*k - 25 = -4*d, -25 = 3*d - 5*k. What is the smallest value in -6/7, d, -3?
-3
Let r = 96 + -119. Let q = 19 + r. Which is the second biggest value? (a) q (b) 1/10 (c) 1 (d) -1
b
Let u = 391 + -382. Which is the biggest value? (a) -0.04 (b) -0.3 (c) u (d) 2
c
Let f = -6 + 41. Let v be 2/5*f/(-1631). Let n = -480/1631 - v. What is the second smallest value in -2/3, 0.06, n?
n
Let v = 3.4 - 3.6. Let r = 2 + -7. Which is the biggest value? (a) -4 (b) v (c) r (d) 3
d
Let c be 9/18 + (-6)/(-4). Suppose 2*z + 3*f = f + 8, c*z + f = 5. What is the third biggest value in 0.4, z, 6?
0.4
Let f = -4.03 - -4. Let v = 0.27 - f. Let k = 285 + -285. Which is the third biggest value? (a) v (b) 0.1 (c) k
c
Let i = -232.6 + 283. Let o = i + -50. What is the third biggest value in o, -20, -3?
-20
Let a = 357 - 2503/7. Let m = 0.324 - 0.524. What is the smallest value in m, a, 0.2?
a
Suppose -t = -4*u + 54 - 10, -u + 125 = -5*t. Let g = t + 23. Which is the second biggest value? (a) 4 (b) g (c) 5 (d) -0.01
a
Let z = -1388/3 - -464. What is the third biggest value in z, 3, 0.6?
0.6
Let w be ((-1)/(-10))/((-2)/8). Let s = -77.014 + 0.014. Let t = s + 79. Which is the smallest value? (a) w (b) t (c) 1/2
a
Let l = 13.78 - -0.22. Let i = l + -14.4. Let s = 19 - 115/6. Which is the smallest value? (a) 3 (b) s (c) i
c
Let l be (-326)/(-9) + (-26)/117. Suppose -7*z - l = -3*z. Which is the second biggest value? (a) z (b) -0.2 (c) 4
b
Let f = -1 - -0.9. Let a be (0 - 3)/12*-18*112/42. What is the third smallest value in -0.4, f, -3, a?
f
Let h = -2.935 - 0.065. Let n = h - -3. Which is the third biggest value? (a) 2/11 (b) -1/2 (c) n
b
Let o = -36.8 + -10.2. What is the smallest value in 1, o, 1/3, 1/6?
o
Suppose -37*w = -20*w. Which is the third biggest value? (a) w (b) 5 (c) 0.4
a
Let s = -1644 + 1639. What is the biggest value in 0.5, 5/3, s, 29/6?
29/6
Let g = 1/636 - -1267/3180. What is the second smallest value in -4, g, 3, -1?
-1
Suppose 0 = 4*m - x, 3*m + 3*x - 8*x = 0. Let f be 7/3 - (m - 8/(-2)). What is the third smallest value in f, 5, 4, -5?
4
Suppose -2*u - h + 323 = 0, 4*u - 647 = -3*h - 0*h. Let i be u/56 - (2 - -1). Let w = -1.86 - 0.14. Which is the biggest value? (a) -5 (b) i (c) w
b
Let x = 188 - 187.7. Let h = 3 - -2. Which is the second biggest value? (a) 0.6 (b) h (c) 4/7 (d) x
a
Let f = -137 + 255. Which is the third smallest value? (a) -5 (b) f (c) -2
b
Let k(y) = 6*y + 8. Let f be k(6). Let n be (-2)/f*26 - (-3 - -2). What is the third biggest value in -0.1, 1/4, n, -3/7?
n
Let m = -0.004 + -7.296. Let n = 7 + m. Let p = -51.8 - -51.8. Which is the biggest value? (a) n (b) 1 (c) p
b
Let r = 30.98 - 30. Let f = r + -1.98. Let y = 103/2 - 54. Which is the second smallest value? (a) f (b) 1 (c) y
a
Let b = 5.24 + -5.24. What is the third biggest value in b, -3, -0.01?
-3
Let v(w) = -12*w - 3*w**3 + 19*w**2 - 3 + 2*w**3 - 5*w**2 - 5. Let n be v(13). What is the smallest value in 9, n, -3?
-3
Let h = -46.6 + 46. Let y = -0.9 - h. Which is the fourth biggest value? (a) -1/2 (b) 0 (c) y (d) 3
a
Let l be (-25)/45 - 8/(-36). Suppose 4*x - 3*n - 147 = 0, -4*x + 30 + 109 = 5*n. Let m be (-5)/20 - (-17)/x. Which is the smallest value? (a) 1/4 (b) m (c) l
c
Let t = 57 + -12. Let y = t + -17. Let d = y - 23. What is the third biggest value in d, 1/4, 0.2?
0.2
Let o be (-11)/(-4)*-24*2. Let s be 6/(-4) + o/(-72). Let x = -2.2 + 2. Which is the third smallest value? (a) s (b) 2/7 (c) x
a
Suppose 5*l - u = -0*u + 684, -l + 2*u = -135. Suppose l*w - 45 = 134*w. What is the third biggest value in w, -0.1, 1?
-0.1
Let o be 4/(-6)*(-13 + 19873/1530). What is the second smallest value in o, 0, -3, 4?
0
Let r = -4 + 3.6. Let l = -2357 - -219203/93. Let y = l + -101/372. What is the third biggest value in y, 1, r?
r
Let t = -2/159 + 169/795. Let w(k) = -k**2 - 3*k + 11. Let d(g) = -g. Let s(b) = -6*d(b) - w(b). Let o be s(-10). What is the third biggest value in t, 1/3, o?
o
Let t be (-348)/176 - 21/77. Which is the biggest value? (a) 2 (b) t (c) 0
a
Let g = -867/11 - -79. Which is the third smallest value? (a) -0.2 (b) 1/3 (c) g (d) -1.4
c
Let w = -3 - -6. Let t = -0.07165 + -0.02835. Let i = 10/29 - 88/87. Which is the biggest value? (a) i (b) t (c) w
c
Let m = 1.28 - 1.7
|
{
"pile_set_name": "DM Mathematics"
}
|
4/w + 2). Find the third derivative of -6*j**6 - 2*j**y + j**2 + 0*j**2 wrt j.
-960*j**3
Find the second derivative of 0*f**3 + 1644*f**5 - 10 + 0*f**3 - 2*f - 1559*f**5 wrt f.
1700*f**3
Let u(m) be the second derivative of 1/10*m**5 + 0*m**3 + 0*m**2 + 7/12*m**4 + 0 - 6*m. Find the third derivative of u(f) wrt f.
12
Suppose 5*n + 3 = 2*a - 0*n, 0 = -3*n + 15. Let j = 19 - a. Find the third derivative of 0*d**2 - j*d**4 - 8*d**2 - 6*d**5 + 5*d**4 wrt d.
-360*d**2
Let g(x) be the third derivative of 0*x**3 + 0 - 1/3*x**4 + 0*x**6 + 0*x**5 + 1/70*x**7 + 0*x + 2*x**2. What is the second derivative of g(v) wrt v?
36*v**2
Suppose -3*c - 5 = -44. What is the second derivative of 8*y**2 - c*y + 8*y + 18*y wrt y?
16
Find the second derivative of h - 11*h**4 - 204*h**4 + h**4 + 25 wrt h.
-2568*h**2
Suppose -3*t + 4*s = 2, t + 3*t - 3*s + 12 = 0. Let b be (-2)/(-3) - 38/t. What is the second derivative of b*w + 5*w**5 + 6*w - 15*w wrt w?
100*w**3
What is the third derivative of -2*f**2 + 4183*f + 3*f**4 - f**4 - 4020*f - 204*f**3 wrt f?
48*f - 1224
Let b(m) = m**3 - 10*m**2 - 10*m - 9. Let y be b(11). Find the third derivative of 4 - 11 + 2*a**4 + 7 - 15*a**y wrt a.
48*a
Let c(n) = 3*n + 30. Let l be c(-9). What is the derivative of 37 - 4*v**3 - 14 + 25*v**l wrt v?
63*v**2
Let u(p) be the second derivative of 7*p**5/5 + p**4/12 + 25*p**3/6 - 63*p - 2. Find the second derivative of u(c) wrt c.
168*c + 2
Differentiate 79 - 108*v**3 + 5*v**3 + 36*v**3 - 84*v**3 with respect to v.
-453*v**2
Find the third derivative of 2*o**5 + 4 - 61*o**2 + 5 - 15 + 10 - 4*o**3 + 43*o**3 wrt o.
120*o**2 + 234
Let m(h) be the first derivative of -1/2*h**2 + 2/3*h**3 + 23/4*h**4 + 0*h - 44. What is the third derivative of m(k) wrt k?
138
Suppose 0 = -3*i - g + 11, 5 + 12 = -4*i + 5*g. Find the third derivative of -71*h**6 - 19*h**2 - 3*h**i + 82*h**6 wrt h.
1320*h**3
Let z = -28 - -37. Find the second derivative of 2*h - 9*h**2 - z*h**2 + 13*h**2 - 6*h**2 wrt h.
-22
Let b(f) be the second derivative of -709*f**6/30 + 71*f**4/6 + f**3/2 + 637*f. Find the third derivative of b(m) wrt m.
-17016*m
Find the third derivative of 6*o**4 - 340*o**2 - 6*o**4 + 353*o**2 + 17*o**5 wrt o.
1020*o**2
Find the third derivative of 5*u + 204*u**4 - 130*u**4 + 290*u**4 + 60*u**2 + 50*u**2 - 94*u**2 wrt u.
8736*u
Let s be 6 - (-135)/(-25) - 18/(-20). Let x(k) be the first derivative of 0*k**3 - s*k**2 + 5/4*k**4 - 9 + 0*k. Find the second derivative of x(n) wrt n.
30*n
Suppose -36 = -241*f + 232*f. Let r(t) be the third derivative of -1/12*t**f + 0*t - 5/6*t**3 + 2*t**2 + 0. Find the first derivative of r(h) wrt h.
-2
Let y(t) be the third derivative of t**9/63 - t**8/112 + 49*t**5/30 - t**2 + 64. Find the third derivative of y(k) wrt k.
960*k**3 - 180*k**2
Let a be 365/11 + (-5)/55*2. What is the first derivative of -a + 4 + 4 - 13*x**4 wrt x?
-52*x**3
Find the first derivative of 55*h**3 + 51*h**3 + 156 + 29*h**3 + 28*h**3 - 15*h**3 wrt h.
444*h**2
Let o(v) be the first derivative of -v**6/24 - 5*v**5/12 + 3*v**2 + 2. Let r(t) be the second derivative of o(t). What is the third derivative of r(y) wrt y?
-30
Let b be 24/8*4/(-6). Let z = 0 - b. What is the first derivative of 12*o**3 - 6*o - z + 4 + 6*o wrt o?
36*o**2
Let z(w) = 26*w**4 - 4*w**3 + 4*w**2 + 21*w + 1. Let v(u) = -u**4 + u**3 - u**2 - u + 1. Let m(t) = -4*v(t) - z(t). What is the second derivative of m(o) wrt o?
-264*o**2
What is the first derivative of -159*f - 113*f + 11 + 343*f wrt f?
71
Let l(b) be the third derivative of -32*b**2 + 0 - 31/210*b**7 + 0*b**4 + 11/3*b**3 + 0*b**6 + 0*b + 0*b**5. What is the derivative of l(z) wrt z?
-124*z**3
Let y(l) be the third derivative of 0*l + 0 - 10*l**2 + 1/40*l**6 + 0*l**5 - 3/8*l**4 + 0*l**3. Find the second derivative of y(m) wrt m.
18*m
Let g(t) = -145*t**3 + 2*t**2 + 2*t + 394. Let w(s) = -578*s**3 + 9*s**2 + 9*s + 1577. Let y(r) = -9*g(r) + 2*w(r). Differentiate y(v) with respect to v.
447*v**2
Suppose -8*h - 5 = -3*h. Let r = h + 3. What is the second derivative of 4*l**2 - 4*l**2 + l**r + 2*l - l wrt l?
2
Let j(x) = -x**3 + 20*x**2 - 18*x - 17. Let c be j(19). Differentiate 1 + 9*l**2 + 0*l**c + 8 - 5 wrt l.
18*l
Let f(h) be the second derivative of 67*h**8/56 - 5*h**4/2 + 9*h. What is the third derivative of f(l) wrt l?
8040*l**3
Let c = -8 + 8. What is the second derivative of 0*y**4 + c*y**4 - 7*y - 12*y**4 wrt y?
-144*y**2
Let v(b) be the first derivative of 27*b**4/4 - b**2 + 120*b - 112. What is the first derivative of v(z) wrt z?
81*z**2 - 2
Let d(n) be the third derivative of -13*n**6/120 - 91*n**3/6 - 2*n**2 + 2. Differentiate d(l) wrt l.
-39*l**2
Let q(v) = -2*v - 20. Let a be q(-11). What is the third derivative of -7*t**3 - 12*t**a + 15*t**2 + 17*t**3 wrt t?
60
Let k be -49*(4 - 30/7). What is the third derivative of -2*x**5 - 25*x**2 + 19*x**2 + k*x**2 wrt x?
-120*x**2
Suppose 2*f + 2*v + 1 = 15, 3*f - 3*v + 3 = 0. Find the second derivative of f*z**2 - 5*z**2 + 27*z - 2*z + 15*z**2 wrt z.
26
Let v = 38 - 34. What is the second derivative of 6*j**4 + 4*j - 19*j + 5*j + 3*j**v wrt j?
108*j**2
Find the third derivative of -5868*i**6 + 5200*i**6 + 11 - 7*i**2 - 4 wrt i.
-80160*i**3
Let h be 0/(-3) - (-24 - 1*-2). Find the third derivative of -2*g**5 + h*g**3 - 22*g**3 + 8*g**2 - 21*g**5 wrt g.
-1380*g**2
Let i = -10 - -14. Differentiate 5*o**4 - i - 1 + 9 with respect to o.
20*o**3
Let r(k) = k - 1 + 2 + 4 - 9*k. Let s(j) = 24*j - 17. Let n(t) = -14*r(t) - 4*s(t). Find the first derivative of n(w) wrt w.
16
Let q(c) = -27*c**2 + 6*c + 10. Let v(u) = 25*u**2 - 5*u - 9. Let b(a) = 6*q(a) + 7*v(a). What is the second derivative of b(k) wrt k?
26
Differentiate 2*v - 9*v**2 - 157 - 8*v**2 + 64*v**2 + 50*v**2 with respect to v.
194*v + 2
Let s(p) be the first derivative of 17*p**5 - 67*p**2/2 - 70. What is the second derivative of s(b) wrt b?
1020*b**2
Find the second derivative of -1537*a - 9*a**5 + 9*a**3 + 1133*a - 40*a**3 wrt a.
-180*a**3 - 186*a
Let u(q) be the second derivative of 13*q + 3/4*q**5 + 0 + 0*q**4 + 0*q**2 + 8/3*q**3. What is the second derivative of u(w) wrt w?
90*w
Suppose -l - 6 = 2*l. Let x be 5/((-1)/2*l). Find the third derivative of 74*u - 74*u - 6*u**x + 9*u**2 wrt u.
-360*u**2
Let i(y) = -2*y - 11. Let r be i(-8). Find the third derivative of -44*p**3 + 4*p**2 - r*p**2 + 47*p**3 wrt p.
18
Let d(l) be the first derivative of -21*l**4/4 - l**3/3 + 25*l**2/2 - 4*l - 239. What is the second derivative of d(y) wrt y?
-126*y - 2
What is the derivative of 8*l**4 + 23*l**4 - 14*l**4 + 58 + 40*l**4 wrt l?
228*l**3
Let k(w) be the first derivative of -w**7/70 - w**5/40 - 3*w**3 - 8. Let n(v) be the third derivative of k(v). Find the second derivative of n(q) wrt q.
-72*q
Let x(t) = 103*t**4 - 6*t**3 - 132*t + 3. Let g(h) = -104*h**4 + 4*h**3 + 131*h - 2. Let q(v) = 3*g(v) + 2*x(v). Find the second derivative of q(n) wrt n.
-1272*n**2
Suppose -w + 60 = 56. Let n(q) be the second derivative of -4/3*q**3 + 0*q**2 - 1/4*q**5 + 0*q**w + 2*q + 0. What is the second derivative of n(f) wrt f?
-30*f
Suppose 5*y - 2*d - 12 = 0, 8 = -3*y + 4*d + d. Differentiate -32*c**2 + 32*c**2 - 9 - 37*c**y + 37 wrt c.
-148*c**3
Let v(z) = 75*z**4 + 2*z**3 - 6*z**2 + 2*z - 126. Let w(x) = x**3 - 3*x**2 + x - 1. Let a(y) = -v(y) + 2*w(y). What is the derivative of a(g) wrt g?
-300*g**3
What is the second derivative of -1003 - 167*r**2 + 1003 - 126*r wrt r?
-334
Suppose -l = 4*l - 45. Let a = -7 + l. Find the third derivative of 2*b + 3*b**a - 2*b - b**3 wrt b.
-6
Let p(c) = 83*c**3 - 52*c**2 + 6*c. Let m(y) = -248*y**3 + 156*y**2 - 16*y. Let r(i) = 3*m(i) + 8*p(i). Find the third derivative of r(d) wrt d.
-480
Find the first derivative of -48*k - 79 + 2*k**2 - 7*k + 94 wrt k.
4*k - 55
Let r = 28 - 8. Differentiate -2*i**4 - 56*i**3 + 56*i**3 + r with respect to i.
-8*i**3
Let c(v) = 485*v**4 - 3*v**2 + 3*v - 195. Let l(q) = 486*q**4 - 4*q**2 + 4*q - 194. Let u(w) = -4*c(w) + 3*l(w). What is the first derivative of u(m) wrt m?
-1928*m**3
Suppose -56 = -3*p - 4*b, -5*p + 65 = b - 0*b. Let n = -2 - -9. Find the second derivative of -p - n*l**3 + 12 + l wrt l.
-42*l
What is the second derivative of 24*f + 530*f**4 - 2 + 8 - 4 - 5 - 4 wrt f?
6360*f**2
Let k = 4 + -2. Let v be k/(7
|
{
"pile_set_name": "DM Mathematics"
}
|
?
3/7
Four letters picked without replacement from oooouooo. Give prob of picking 1 o and 3 u.
0
What is prob of picking 2 k and 1 o when three letters picked without replacement from mmnnmdmomkkmnnmmnm?
1/816
Calculate prob of picking 1 t, 1 x, and 1 e when three letters picked without replacement from xetxteyyqytqyqtxty.
5/136
Four letters picked without replacement from {x: 3, p: 13}. Give prob of picking 1 x and 3 p.
33/70
Two letters picked without replacement from {g: 5}. Give prob of picking 2 g.
1
Calculate prob of picking 1 l and 1 u when two letters picked without replacement from ujlllllll.
7/36
What is prob of picking 2 t and 1 m when three letters picked without replacement from mttm?
1/2
What is prob of picking 2 b when two letters picked without replacement from {b: 5}?
1
Two letters picked without replacement from ppppppppgppppppppp. Give prob of picking 1 g and 1 p.
1/9
Calculate prob of picking 1 r and 2 z when three letters picked without replacement from qamoqqqarozzoaqqqorq.
1/570
What is prob of picking 1 z and 1 c when two letters picked without replacement from qknkqnccqqqckcycnz?
5/153
Two letters picked without replacement from icxxc. Give prob of picking 1 x and 1 c.
2/5
Three letters picked without replacement from aagga. Give prob of picking 3 a.
1/10
Three letters picked without replacement from nuxnnonnuu. What is prob of picking 1 o and 2 n?
1/12
Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {s: 3, c: 6, y: 1, k: 1, q: 1}.
1/11
What is prob of picking 3 s and 1 r when four letters picked without replacement from {g: 2, v: 1, s: 5, r: 3, j: 7, c: 2}?
2/323
Four letters picked without replacement from {n: 3, z: 4, x: 6, g: 1, k: 1, r: 3}. Give prob of picking 3 x and 1 r.
1/51
Calculate prob of picking 2 k and 1 z when three letters picked without replacement from {z: 2, k: 11}.
5/13
What is prob of picking 1 o and 2 c when three letters picked without replacement from {o: 2, v: 9, f: 1, c: 7}?
14/323
Four letters picked without replacement from agmammmaamganimmjaam. What is prob of picking 2 a, 1 j, and 1 m?
56/1615
Calculate prob of picking 2 q and 1 l when three letters picked without replacement from {l: 7, y: 7, q: 2}.
1/80
Three letters picked without replacement from {a: 1, j: 1, e: 2, p: 1}. What is prob of picking 2 e and 1 p?
1/10
Two letters picked without replacement from {i: 2, b: 2, n: 2, r: 8}. Give prob of picking 2 n.
1/91
Three letters picked without replacement from eeeddeerrrdrrmd. Give prob of picking 1 m and 2 r.
2/91
Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {i: 1, n: 1, e: 1, d: 6, v: 3}.
1/22
Two letters picked without replacement from {o: 7, p: 1}. Give prob of picking 2 o.
3/4
Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {c: 1, v: 4, l: 2, a: 1}.
1/28
Two letters picked without replacement from ccgodgc. What is prob of picking 1 g and 1 c?
2/7
Two letters picked without replacement from {h: 1, m: 1, c: 1, z: 2, r: 3, n: 4}. What is prob of picking 1 h and 1 m?
1/66
What is prob of picking 1 n, 1 j, and 1 y when three letters picked without replacement from jinyjznyk?
2/21
What is prob of picking 4 g when four letters picked without replacement from {g: 7, w: 1}?
1/2
Four letters picked without replacement from {a: 9, j: 3, t: 4}. What is prob of picking 4 a?
9/130
Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {i: 4, y: 1, k: 2, p: 2}.
2/9
What is prob of picking 1 h, 2 i, and 1 f when four letters picked without replacement from gghiffigifhgfhifff?
7/170
Two letters picked without replacement from {m: 1, u: 1, w: 1, s: 1, f: 1}. What is prob of picking 1 s and 1 f?
1/10
What is prob of picking 2 k when two letters picked without replacement from {m: 4, k: 3, z: 1, g: 12}?
3/190
Two letters picked without replacement from bxcbcbxccb. Give prob of picking 1 b and 1 c.
16/45
Three letters picked without replacement from {c: 4, m: 1, v: 9, e: 3, b: 2}. What is prob of picking 1 v and 2 e?
9/323
Calculate prob of picking 1 x, 1 a, and 1 g when three letters picked without replacement from {d: 5, g: 5, x: 2, a: 2, v: 1, n: 1}.
1/28
Calculate prob of picking 1 u, 2 n, and 1 a when four letters picked without replacement from nuaanaanan.
1/7
Calculate prob of picking 2 g and 2 k when four letters picked without replacement from {g: 2, f: 2, z: 8, k: 4}.
3/910
Calculate prob of picking 1 q and 1 l when two letters picked without replacement from qblllllbq.
5/18
Three letters picked without replacement from {k: 4, j: 5, c: 7}. Give prob of picking 2 c and 1 k.
3/20
Calculate prob of picking 1 p and 1 n when two letters picked without replacement from ynyynvnyypypyn.
8/91
Two letters picked without replacement from {v: 2, u: 2, o: 4, b: 1, f: 1}. What is prob of picking 1 o and 1 b?
4/45
Calculate prob of picking 2 n when two letters picked without replacement from nyny.
1/6
Three letters picked without replacement from {v: 1, h: 2, m: 1}. Give prob of picking 1 m and 2 h.
1/4
Four letters picked without replacement from {u: 12, o: 1}. Give prob of picking 1 o and 3 u.
4/13
Calculate prob of picking 3 n when three letters picked without replacement from nnnnnnnnnn.
1
Two letters picked without replacement from jfmxb. Give prob of picking 1 b and 1 x.
1/10
What is prob of picking 3 e and 1 z when four letters picked without replacement from emzmemmnzmmemmmm?
1/910
Four letters picked without replacement from {d: 2, h: 1, q: 2}. Give prob of picking 2 q and 2 d.
1/5
Two letters picked without replacement from qqqqqqqqhqqhqqhqqhq. Give prob of picking 1 q and 1 h.
20/57
Four letters picked without replacement from jsopepojpppppp. What is prob of picking 3 o and 1 e?
0
Calculate prob of picking 1 o and 2 w when three letters picked without replacement from wortrawriiritwrtww.
5/408
Four letters picked without replacement from gttqqgtattttat. What is prob of picking 2 g, 1 q, and 1 a?
4/1001
What is prob of picking 1 y and 1 g when two letters picked without replacement from {l: 1, g: 2, p: 1, y: 1}?
1/5
Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, j: 2}.
3/10
Calculate prob of picking 1 e, 1 f, and 1 g when three letters picked without replacement from gfuehhuehguhfehf.
9/280
Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, m: 3, s: 3}.
1/28
Two letters picked without replacement from eccrbbtecbereb. Give prob of picking 1 c and 1 t.
3/91
What is prob of picking 4 q when four letters picked without replacement from qzqzzqzzzzq?
1/330
Calculate prob of picking 1 v, 1 y, and 2 j when four letters picked without replacement from {y: 6, j: 4, v: 1}.
6/55
Calculate prob of picking 1 r and 3 y when four letters picked without replacement from {y: 4, t: 1, l: 4, r: 2}.
4/165
Two letters picked without replacement from {f: 1, h: 2, a: 3, e: 5, c: 7, b: 2}. Give prob of picking 1 a and 1 h.
3/95
Two letters picked without replacement from gzzzzzzpgzpgazlgpalg. Give prob of picking 1 z and 1 a.
8/95
Calculate prob of picking 1 e, 1 o, and 1 k when three letters picked without replacement from {g: 1, s: 1, m: 2, k: 1, e: 1, o: 1}.
1/35
Calculate prob of picking 1 c and 1 l when two letters picked without replacement from lmlcxxxxxmlxmmlmm.
1/34
Three letters picked without replacement from vtgcvvggcgtgvd. Give prob of picking 1 d and 2 g.
5/182
Two letters picked without replacement from {r: 3, f: 3}. Give prob of picking 2 r.
1/5
What is prob of picking 2 o when two letters picked without replacement from {o: 3, i: 2}?
3/10
Calculate prob of picking 2 i when two letters picked without replacement from {o: 1, n: 1, b: 1, i: 3, l: 1}.
1/7
Four letters picked without replacement from afrxawfrayffrfwrw. What is prob of picking 1 x, 1 y, and 2 w?
3/2380
Three letters picked without replacement from wzymyyyyzqqlyyy. What is prob of picking 2 z and 1 y?
8/455
What is prob of picking 2 d and 2 s when four letters picked without replacement from {l: 10, s: 4, d: 6}?
6/323
Four letters picked without replacement from unlytyu. Give prob of picking 2 y, 1 u, and 1 l.
2/35
Thre
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the first derivative of 2*a**4 - 51*a**2 + 201 wrt a?
8*a**3 - 102*a
Find the third derivative of 15131*f**5 - 29*f**2 + 3*f + 47 wrt f.
907860*f**2
What is the first derivative of -n**4 + 1269*n**3 + 4002 wrt n?
-4*n**3 + 3807*n**2
Find the third derivative of -379*b**6 + b**3*r + 30*b**2*r + 4*b wrt b.
-45480*b**3 + 6*r
What is the derivative of -384*p*u**3 + 3*p*u**2 + 987*u**3 wrt p?
-384*u**3 + 3*u**2
What is the second derivative of -2313*o**5 + 833*o?
-46260*o**3
What is the second derivative of -2*k**3*p**5 - 13*k**3*p**3 + k**3*p + 2*p**2 + 28*p + 20 wrt p?
-40*k**3*p**3 - 78*k**3*p + 4
Find the third derivative of 459*z**5 + 3161*z**2.
27540*z**2
What is the derivative of 75*a**4 - 13*a**2*y + 2392*y wrt a?
300*a**3 - 26*a*y
Find the first derivative of 2820*d - 1583.
2820
What is the derivative of -2*l**3*q - 2*l**3 - 38*l**2 - 3*l + 3*q - 76 wrt l?
-6*l**2*q - 6*l**2 - 76*l - 3
Find the third derivative of -319*o**3*w - 2*o**2*w + 221*o**2 wrt o.
-1914*w
What is the third derivative of -58*a**4 - 480*a**2?
-1392*a
Differentiate -55*f + 695 wrt f.
-55
Differentiate 86*i*t**2 - 482*i + 11*t**4 + 8 with respect to t.
172*i*t + 44*t**3
Find the second derivative of -96*f**5 - 3*f**2 - 8998*f wrt f.
-1920*f**3 - 6
What is the first derivative of -5*b**3*s + 441*b**3 + 7*b**2*s - 2*s**3 wrt s?
-5*b**3 + 7*b**2 - 6*s**2
What is the derivative of -67*f**3*h**2*j - 15*f**3*h**2 - f**3*h*j - 2*f**3*h + f*j - 5*h**2 + 3 wrt j?
-67*f**3*h**2 - f**3*h + f
What is the derivative of g**2*o*s - 39*g**2*o + 2*g**2*s - 162*g**2 wrt o?
g**2*s - 39*g**2
Find the third derivative of -4085*m**4 + 2*m**2 - 55*m + 40 wrt m.
-98040*m
Find the third derivative of -172*l*n**4 - 21*l*n**2 - 5*l*n - n**5 wrt n.
-4128*l*n - 60*n**2
Find the second derivative of -2*i**2*y**2 - 3*i**2 - 2*i*y + 11*i + 9*y**5 + 13*y**4 wrt y.
-4*i**2 + 180*y**3 + 156*y**2
What is the third derivative of -2*k**6*w**2 - 1358*k**4*w**2 - 70*k**2 + 2*w**2 - w - 2 wrt k?
-240*k**3*w**2 - 32592*k*w**2
What is the second derivative of -2*x**3 + 377*x**2 + 37*x - 9?
-12*x + 754
Find the third derivative of -168*f**2*p**3 + 9*f**2*p + 3*f**2 + p**2 wrt p.
-1008*f**2
What is the third derivative of -2*c**2*g*k**3 + 2*c**2*k + 1266*c*g**2*k**3*v - 4*c*g**2*k**2 - 5*c*g*k*v - 10*g**2*k**2*v wrt k?
-12*c**2*g + 7596*c*g**2*v
What is the second derivative of -f**3*o*x**3 - f**3*o + 13*f**3*x - 3*f**2*o - 2*o*x**4 - 9*o*x**2 - 3*x wrt x?
-6*f**3*o*x - 24*o*x**2 - 18*o
Find the first derivative of 25*k*m**3 + k*m**2 + 3*k*m - 207*k + 1 wrt m.
75*k*m**2 + 2*k*m + 3*k
What is the second derivative of -2*c*d**3*f**2*n + 2*c*d**3*f*n - c*d**2*f*n + c*f*n + 13*d**3*n + 7*d**2*f**2*n wrt f?
-4*c*d**3*n + 14*d**2*n
What is the second derivative of -9*w**4*x - 44*w**4 + 2*w**2*x + 274*w*x - 13*x wrt w?
-108*w**2*x - 528*w**2 + 4*x
Find the first derivative of 22*p**2*y*z**2 + p**2*z**2 - 5*p*y*z**2 + 3*p*y - 713*p*z**2 wrt y.
22*p**2*z**2 - 5*p*z**2 + 3*p
Find the second derivative of k**4*r - 5*k**3*r**3 - 2*k**3 + 3*k*r**3 - 120*k wrt k.
12*k**2*r - 30*k*r**3 - 12*k
What is the second derivative of 533*n**2 + 645*n wrt n?
1066
Find the third derivative of h**3*t*x**3 - 4*h**3*t + 3*h**3*x**3 - 3*h**2*t*x**2 - 502*h**2*x + 2*h*t*x**3 + h*t wrt h.
6*t*x**3 - 24*t + 18*x**3
Find the third derivative of -475*c**5 - 118*c**2 wrt c.
-28500*c**2
What is the third derivative of -556*f*w**3 + 51*f*w**2 - 6*w**2 wrt w?
-3336*f
Find the second derivative of -4*d**3*x - 10*d**2*x + 10*d**2 + 2*d + x + 2 wrt d.
-24*d*x - 20*x + 20
Find the third derivative of 4*n**5 + 24*n**3 + 24*n**2 wrt n.
240*n**2 + 144
What is the derivative of 2*i**2 - 201*i*v - 36*v - 3 wrt i?
4*i - 201*v
What is the first derivative of 473*f**3 + 335?
1419*f**2
Find the second derivative of 3803*z**5 - 45*z + 9 wrt z.
76060*z**3
Find the second derivative of 459*b**5 + 216*b.
9180*b**3
Find the third derivative of 7084*d**3 + 1562*d**2.
42504
Find the second derivative of -492*f**2*i**2 + 64*f**2*i*v + 2*f*i**2*v + 2*f*i*v + 3*f*v wrt i.
-984*f**2 + 4*f*v
What is the second derivative of 2*k**5 + 51*k**3 - k**2 + 503*k + 4 wrt k?
40*k**3 + 306*k - 2
What is the first derivative of 204*b*d*p**2 + 503*b*p + 20*d*p**3 - p**3 wrt d?
204*b*p**2 + 20*p**3
What is the second derivative of -3*b**2*c**2*v - 6*b**2*c*v - b**2*v + 6*b**2 - 3*b*c**2*v + b*v + 333*c**2*v wrt c?
-6*b**2*v - 6*b*v + 666*v
Differentiate -4*h*o - 41*h - 7*o**3 + 2*o**2 + 1 with respect to o.
-4*h - 21*o**2 + 4*o
Find the first derivative of -4*i**3 + 164*i*s**2 - 571*s**2 wrt i.
-12*i**2 + 164*s**2
What is the third derivative of 103*i*m**6 + 13*i*m**2 - 2*i*m + 5*m**2 wrt m?
12360*i*m**3
Find the first derivative of 8032*a**4*m**3 - 2*a*m**3 - 719*m**3 - 7 wrt a.
32128*a**3*m**3 - 2*m**3
Differentiate -1047*s - 883.
-1047
What is the third derivative of 2*b**4*v**2 + 106*b**3*v + b**2*v + 2*b**2 + 2*v**2 wrt b?
48*b*v**2 + 636*v
What is the second derivative of -13*f*o**3 - 3*f*o**2 + 165*f - o wrt o?
-78*f*o - 6*f
Find the second derivative of -862*q**2 - 4*q - 117 wrt q.
-1724
What is the derivative of 2*a**2 - 159*a - 324 wrt a?
4*a - 159
Find the second derivative of 2*c**2*d**2*z - 5*c**2*d + d**2*z + 33*d**2 + 2*d*z + 95*z wrt d.
4*c**2*z + 2*z + 66
Find the third derivative of -k**5*m**3 + 523*k**5 - k**2*m**2 + k*m**3 + 121*k*m**2 wrt k.
-60*k**2*m**3 + 31380*k**2
What is the second derivative of -8507*l**2 + 12657*l wrt l?
-17014
What is the second derivative of 544*t**5 - 723*t?
10880*t**3
What is the second derivative of 4230*q**3 - 6506*q wrt q?
25380*q
What is the third derivative of 2*h**3*r + 160*h**3 + h**2 - 19*h*r + r wrt h?
12*r + 960
Find the second derivative of a**3*i - 3*a**3 + 4*a**2*i - 11*a*i - a + 27*i wrt a.
6*a*i - 18*a + 8*i
Find the second derivative of -5*t**5 - 57*t**3 - 416*t.
-100*t**3 - 342*t
Differentiate 1130*i**2 - 127.
2260*i
What is the second derivative of -49*i**3*s - i**3 - 2*i**2*s - 2*i*s + 270*i wrt i?
-294*i*s - 6*i - 4*s
Find the second derivative of 4*m**2*z + 204*m**2 + 3*m*z + 216*m - 3*z wrt m.
8*z + 408
Differentiate -6*a**4*z**2 - 67*a**2*z**3 - 14164*z**3 with respect to a.
-24*a**3*z**2 - 134*a*z**3
What is the first derivative of -4917*a - 23468?
-4917
Find the second derivative of -1044*j**3 - 83*j wrt j.
-6264*j
Find the second derivative of 845*i**2*n**5 + i**2 + 114*i*n wrt n.
16900*i**2*n**3
Find the third derivative of -4*b**4*x - 46*b**3*x - 2*b**2 - b*x - 40 wrt b.
-96*b*x - 276*x
Differentiate d*v*x**2 - d*v - 23*d*x**2 - 20*d + 9*v*x + 3*v + 2*x**2 with respect to d.
v*x**2 - v - 23*x**2 - 20
Find the third derivative of 2*t**5 - 2*t**4 + 949*t**3 - 5933*t**2.
120*t**2 - 48*t + 5694
What is the derivative of -4*o**3 + 22*o + 112?
-12*o**2 + 22
Find the third derivative of 11*k*r**3 - 168*k*r**2 + k*r - 10*r**3 wrt r.
66*k - 60
What is the third derivative of c**3*v**3*z**2 - 774*c**3*v**3 - 2*c**2*v**3 - 2*c*v**3*z - 2*v*z**2 + 21*v*z wrt c?
6*v**3*z**2 - 4644*v**3
What is the first derivative of n**3*r*x**2 + 45*n**3*r*x - 9*n**3*u*x**2 - 15*n**3*u*x + n**2*r*x**2 + n*r*u + n*r*x**2 wrt u?
-9*n**3*x**2 - 15*n**3*x + n*r
Find the second derivative of -60*m**5 + 4*m**3 + 2*m**2 + 556*m + 6 wrt m.
-1200*m**3 + 24*m + 4
Find the first derivative of 17*c**2*j**2 + 104*c**2 + 2*c*j**4 - 8*c*j**2 wrt j.
34*c**2*j + 8*c*j**3 - 16*c*j
Find the second derivative of -f**5 - 2936*f**2*u - 1981*f*u wrt f.
-20*f**3 - 5872*u
Differentiate 864*n*u**2 + 1017*n with respect to u.
1728*n*u
Find the second derivative of -908*d**2*h**2 - 9*d**2 - d*h**2 + 412*d*h + 3*h**4 + h**2 wrt h.
-1816*d**2 - 2*d + 36*h**2 + 2
What is the third derivative of c**4*v + 5*c**3*v + 37*c**3 + 3176*c**2*v wrt c?
24*c*v + 30*v + 222
What is the first derivative of 50*a**2*c**3*o + 6*a**2*c + 218*c**3*o + 6*c**2*o wrt a?
100*a*c**3*o + 12*a*c
What is the derivative of -2*c*g**2*h**2 - c*g**2*h*u - 17*c*g*h**2 - 4*c*g*h + 17*g*h**2*u wrt u?
-c*g**2*h + 17*g*h**2
Find the first derivative of -2*g*m*s**2 + 35*g + 50*m**2*s**3 + 12*m**2 wrt s.
-4*g*m*s + 150*m**2*s**2
Find the second derivative of 6*i**2*k**4 + i**2*k - 29*i**2*m + 3*k**4*m + 2*k**2 - 2*m wrt k.
72*i**2*k**2 + 36*k**2*m + 4
Find the first derivative of -123*f**2*p**3
|
{
"pile_set_name": "DM Mathematics"
}
|
57, 55?
-2*d + 67
What is the p'th term of 14, 85, 278, 653, 1270, 2189, 3470?
10*p**3 + p**2 - 2*p + 5
What is the r'th term of 3, 17, 29, 39, 47?
-r**2 + 17*r - 13
What is the g'th term of 14, 39, 78, 137, 222, 339?
g**3 + g**2 + 15*g - 3
What is the z'th term of -202, -264, -368, -514?
-21*z**2 + z - 182
What is the d'th term of -75, -157, -243, -333?
-2*d**2 - 76*d + 3
What is the c'th term of -604, -595, -572, -529, -460, -359, -220?
c**3 + c**2 - c - 605
What is the f'th term of -6363, -6359, -6353, -6345, -6335?
f**2 + f - 6365
What is the a'th term of -81, -167, -253, -339, -425?
-86*a + 5
What is the o'th term of 90, 86, 82, 78, 74, 70?
-4*o + 94
What is the p'th term of -1347, -1348, -1349, -1350?
-p - 1346
What is the w'th term of 935, 945, 969, 1013, 1083, 1185?
w**3 + w**2 + 933
What is the l'th term of 10, 29, 60, 109, 182, 285?
l**3 + 12*l - 3
What is the w'th term of -1, 56, 123, 206, 311, 444?
w**3 - w**2 + 53*w - 54
What is the s'th term of 550, 530, 510, 490, 470, 450?
-20*s + 570
What is the n'th term of -17, -19, -23, -29, -37?
-n**2 + n - 17
What is the u'th term of 85, 331, 741, 1315, 2053, 2955?
82*u**2 + 3
What is the z'th term of 26, 18, -4, -46, -114, -214, -352?
-z**3 - z**2 + 2*z + 26
What is the p'th term of -35, -60, -93, -134, -183, -240, -305?
-4*p**2 - 13*p - 18
What is the x'th term of 0, 11, 28, 51, 80, 115, 156?
3*x**2 + 2*x - 5
What is the y'th term of 204, 162, 98, 6, -120?
-y**3 - 5*y**2 - 20*y + 230
What is the v'th term of 34, 35, 26, 1, -46, -121, -230, -379?
-v**3 + v**2 + 5*v + 29
What is the r'th term of 19, 8, -11, -38, -73, -116, -167?
-4*r**2 + r + 22
What is the l'th term of 536, 512, 492, 476, 464, 456?
2*l**2 - 30*l + 564
What is the g'th term of -62, -64, -70, -80?
-2*g**2 + 4*g - 64
What is the t'th term of -23723, -47447, -71171, -94895, -118619?
-23724*t + 1
What is the p'th term of -706, -1411, -2116, -2821, -3526?
-705*p - 1
What is the m'th term of -35, -50, -65, -80?
-15*m - 20
What is the s'th term of 543, 1104, 1683, 2280, 2895, 3528, 4179?
9*s**2 + 534*s
What is the y'th term of -100, -124, -146, -160, -160, -140, -94?
y**3 - 5*y**2 - 16*y - 80
What is the w'th term of 17, 31, 59, 107, 181, 287, 431, 619?
w**3 + w**2 + 4*w + 11
What is the j'th term of -2105, -4250, -6405, -8576, -10769?
-j**3 + j**2 - 2141*j + 36
What is the o'th term of 469, 472, 477, 484, 493?
o**2 + 468
What is the a'th term of -8, 13, 46, 91, 148, 217, 298?
6*a**2 + 3*a - 17
What is the z'th term of -74, -291, -652, -1157, -1806, -2599?
-72*z**2 - z - 1
What is the p'th term of -20, -17, -14, -11?
3*p - 23
What is the g'th term of -33, -61, -89?
-28*g - 5
What is the l'th term of -431, -637, -1193, -2273, -4051?
-29*l**3 - l**2 - 401
What is the x'th term of -1414, -1409, -1402, -1393?
x**2 + 2*x - 1417
What is the p'th term of 24, 46, 70, 96, 124?
p**2 + 19*p + 4
What is the q'th term of 60, 112, 164, 216, 268, 320?
52*q + 8
What is the d'th term of -7, -26, -67, -142, -263, -442?
-2*d**3 + d**2 - 8*d + 2
What is the y'th term of -10, -75, -226, -505, -954, -1615, -2530?
-7*y**3 - y**2 - 13*y + 11
What is the w'th term of -37884, -37883, -37882, -37881?
w - 37885
What is the u'th term of 207, 284, 349, 396, 419, 412, 369?
-u**3 + 84*u + 124
What is the w'th term of 238, 238, 240, 244, 250?
w**2 - 3*w + 240
What is the n'th term of -431, -433, -435, -437, -439?
-2*n - 429
What is the w'th term of -6807, -13613, -20419, -27225?
-6806*w - 1
What is the k'th term of 843, 851, 861, 873, 887?
k**2 + 5*k + 837
What is the a'th term of 317, 306, 283, 242, 177, 82, -49?
-a**3 - 4*a + 322
What is the s'th term of 1500, 1497, 1496, 1497?
s**2 - 6*s + 1505
What is the y'th term of 129, 257, 385, 513?
128*y + 1
What is the m'th term of 4, 49, 148, 319, 580?
3*m**3 + 9*m**2 - 3*m - 5
What is the v'th term of -828, -3319, -7478, -13311, -20824, -30023?
-v**3 - 828*v**2 + 1
What is the y'th term of -3875, -3867, -3845, -3803, -3735, -3635, -3497, -3315?
y**3 + y**2 - 2*y - 3875
What is the x'th term of -142, -582, -1308, -2314, -3594, -5142, -6952, -9018?
x**3 - 149*x**2 + 6
What is the w'th term of -100, -128, -190, -298, -464, -700, -1018?
-2*w**3 - 5*w**2 + w - 94
What is the r'th term of -401, -397, -391, -383, -373, -361, -347?
r**2 + r - 403
What is the o'th term of 5521, 5523, 5525?
2*o + 5519
What is the k'th term of 25, 49, 119, 259, 493?
4*k**3 - k**2 - k + 23
What is the w'th term of -6128, -6133, -6140, -6149, -6160?
-w**2 - 2*w - 6125
What is the r'th term of -52, -108, -164?
-56*r + 4
What is the z'th term of -60, -78, -96, -114?
-18*z - 42
What is the k'th term of 12, 38, 76, 126?
6*k**2 + 8*k - 2
What is the s'th term of 134, 270, 406, 542?
136*s - 2
What is the j'th term of 15, 44, 97, 180, 299, 460, 669, 932?
j**3 + 6*j**2 + 4*j + 4
What is the q'th term of 14, 17, 16, 5, -22, -71?
-q**3 + 4*q**2 - 2*q + 13
What is the w'th term of 310, 308, 306, 304, 302, 300?
-2*w + 312
What is the w'th term of 266, 261, 254, 245?
-w**2 - 2*w + 269
What is the w'th term of 118, 194, 270, 346, 422, 498?
76*w + 42
What is the s'th term of 4837, 4841, 4845?
4*s + 4833
What is the u'th term of 71, 74, 77, 80, 83?
3*u + 68
What is the t'th term of -98, -86, -56, -2, 82, 202?
t**3 + 3*t**2 - 4*t - 98
What is the b'th term of 8, 39, 70?
31*b - 23
What is the q'th term of -37, -36, -23, 8, 63, 148, 269?
q**3 - 6*q - 32
What is the d'th term of 12, 86, 292, 696, 1364, 2362?
11*d**3 - 3*d + 4
What is the z'th term of 19, 50, 127, 268, 491, 814?
3*z**3 + 5*z**2 - 5*z + 16
What is the k'th term of 45, 62, 65, 48, 5?
-k**3 - k**2 + 27*k + 20
What is the q'th term of 1990, 1991, 1992?
q + 1989
What is the v'th term of 101, 103, 115, 143, 193, 271, 383?
v**3 - v**2 - 2*v + 103
What is the b'th term of -12, -15, -20, -27, -36, -47, -60?
-b**2 - 11
What is the q'th term of -36, 0, 46, 108, 192?
q**3 - q**2 + 32*q - 68
What is the d'th term of 135, 123, 109, 93, 75, 55?
-d**2 - 9*d + 145
What is the s'th term of -1955, -1953, -1951, -1949, -1947?
2*s - 1957
What is the b'th term of -20, -44, -84, -140, -212, -300, -404?
-8*b**2 - 12
What is the b'th term of -27541, -55083, -82625, -110167, -137709, -165251?
-27542*b + 1
What is the v'th term of -155, -156, -157, -158, -159?
-v - 154
What is the q'th term of -47, -46, -43, -38, -31, -22?
q**2 - 2*q - 46
What is the d'th term of -819, -817, -815?
2*d - 821
What is the z'th term of -5297, -10597, -15899, -21203, -26509, -31817?
-z**2 - 5297*z + 1
What is the x'th term of 26, 96, 150, 182, 186, 156?
-x**3 - 2*x**2 + 83*x - 54
What is the v'th term of 868, 1737, 2606?
869*v - 1
What is the y'th term of 426, 438, 438, 420, 378?
-y**3 + 19*y + 408
What is the i'th term of 24, 44, 56, 54, 32?
-i**3 + 2*i**2 + 21*i + 2
What is the u'th term of 67, 68, 69, 70, 71, 72?
u + 66
What is the x'th term of 637, 1271, 1921, 2593, 3293, 4027, 4801?
x**3 + 2*x**2 + 621*x + 13
What is the i'th term of -369, -356, -329, -282, -209, -104?
i**3 + i**2 + 3*i - 374
What is the m'th term of -1, -22, -63, -130, -229, -366, -547, -778?
-m**3 - 4*m**2 - 2*m + 6
What is the x'th term of -1359, -2716, -4073, -5430?
-1357*x - 2
What is the t'th term of 41, 151, 333, 587, 913, 1311, 1781?
36*t**2 + 2*t + 3
What is the u'th term of 3286, 3281, 3266, 3235, 3182, 3101, 2986, 2831?
-u**3 + u**2 - u + 3287
What is the i'th term of 7, 12, 23, 46, 87, 152?
i**3 - 3*i**2 + 7*i + 2
What is the z'th term of -22, -28, -60, -136, -274, -492, -808, -1240?
-3*z**3 + 5*z**2 - 24
What is the w'th term of -39, -77, -113, -147, -179, -209?
w**2 - 41*w + 1
What is the s'th term of 16, -4, -26, -50?
-s**2 - 17*s + 34
What is the t'th term of -22, -34, -46, -58, -70, -82?
-12*t - 10
What is the k'th term of -9, -63, -123, -189, -261, -339?
-3*k**2 - 45*k + 39
What is the o'th term of -4082, -4083, -4084?
-o - 4081
What is the a'th term of 84, 115, 144, 171, 196, 219?
-a**2 + 34*a + 51
What is the t'th term of 121, 142, 177, 232, 313, 426?
t**3 + t**2 + 11*t + 108
What is the y'th term of -720, -1443, -2164, -2883, -3600?
y**2 - 726*y + 5
What is the j'th term of 146, 155, 186, 251, 362?
2*j**3 - j**2 - 2*j + 147
What is the u'th term of -28, -142, -318, -550, -832?
u**3 - 37*u**2 - 10*u + 18
What is the d'th term of -33, -126, -247, -390
|
{
"pile_set_name": "DM Mathematics"
}
|
1/3, to the nearest integer?
11
What is 4120 to the power of 1/2, to the nearest integer?
64
What is the square root of 903 to the nearest integer?
30
What is 80982 to the power of 1/2, to the nearest integer?
285
What is 145685 to the power of 1/2, to the nearest integer?
382
What is 41091 to the power of 1/5, to the nearest integer?
8
What is 28826 to the power of 1/2, to the nearest integer?
170
What is the square root of 69551 to the nearest integer?
264
What is 3748 to the power of 1/6, to the nearest integer?
4
What is the eighth root of 925 to the nearest integer?
2
What is the third root of 433 to the nearest integer?
8
What is 691 to the power of 1/2, to the nearest integer?
26
What is the square root of 12666 to the nearest integer?
113
What is 17936 to the power of 1/8, to the nearest integer?
3
What is the cube root of 2000 to the nearest integer?
13
What is the sixth root of 140 to the nearest integer?
2
What is 14054 to the power of 1/2, to the nearest integer?
119
What is 775 to the power of 1/2, to the nearest integer?
28
What is the square root of 16924 to the nearest integer?
130
What is 3331 to the power of 1/3, to the nearest integer?
15
What is the eighth root of 2287 to the nearest integer?
3
What is the square root of 60380 to the nearest integer?
246
What is the third root of 11590 to the nearest integer?
23
What is the third root of 3425 to the nearest integer?
15
What is the fifth root of 43337 to the nearest integer?
8
What is 25972 to the power of 1/3, to the nearest integer?
30
What is 820 to the power of 1/4, to the nearest integer?
5
What is the third root of 9223 to the nearest integer?
21
What is the fifth root of 3321 to the nearest integer?
5
What is the third root of 546 to the nearest integer?
8
What is the tenth root of 5291 to the nearest integer?
2
What is the tenth root of 37403 to the nearest integer?
3
What is 1028 to the power of 1/2, to the nearest integer?
32
What is 10525 to the power of 1/9, to the nearest integer?
3
What is 1690 to the power of 1/3, to the nearest integer?
12
What is the cube root of 2230 to the nearest integer?
13
What is the third root of 27895 to the nearest integer?
30
What is 69545 to the power of 1/2, to the nearest integer?
264
What is the third root of 4660 to the nearest integer?
17
What is 629 to the power of 1/8, to the nearest integer?
2
What is the square root of 54171 to the nearest integer?
233
What is 37399 to the power of 1/3, to the nearest integer?
33
What is 3793 to the power of 1/3, to the nearest integer?
16
What is 4471 to the power of 1/7, to the nearest integer?
3
What is the third root of 19080 to the nearest integer?
27
What is 10780 to the power of 1/10, to the nearest integer?
3
What is 2 to the power of 1/2, to the nearest integer?
1
What is 18196 to the power of 1/2, to the nearest integer?
135
What is 99611 to the power of 1/2, to the nearest integer?
316
What is 921 to the power of 1/8, to the nearest integer?
2
What is 38713 to the power of 1/2, to the nearest integer?
197
What is 9895 to the power of 1/2, to the nearest integer?
99
What is the seventh root of 22737 to the nearest integer?
4
What is the third root of 723 to the nearest integer?
9
What is the fourth root of 3485 to the nearest integer?
8
What is the square root of 8599 to the nearest integer?
93
What is the cube root of 130137 to the nearest integer?
51
What is 26881 to the power of 1/8, to the nearest integer?
4
What is the square root of 989 to the nearest integer?
31
What is the cube root of 1808 to the nearest integer?
12
What is 2115 to the power of 1/3, to the nearest integer?
13
What is the eighth root of 20375 to the nearest integer?
3
What is 6590 to the power of 1/10, to the nearest integer?
2
What is 923 to the power of 1/10, to the nearest integer?
2
What is 4598 to the power of 1/2, to the nearest integer?
68
What is the square root of 4188 to the nearest integer?
65
What is 4461 to the power of 1/3, to the nearest integer?
16
What is the square root of 507 to the nearest integer?
23
What is 1499 to the power of 1/2, to the nearest integer?
39
What is 106979 to the power of 1/5, to the nearest integer?
10
What is the third root of 85146 to the nearest integer?
44
What is 33139 to the power of 1/5, to the nearest integer?
8
What is the cube root of 152794 to the nearest integer?
53
What is 3694 to the power of 1/2, to the nearest integer?
61
What is 16969 to the power of 1/2, to the nearest integer?
130
What is 9901 to the power of 1/8, to the nearest integer?
3
What is the fifth root of 10035 to the nearest integer?
6
What is 14086 to the power of 1/3, to the nearest integer?
24
What is 40911 to the power of 1/9, to the nearest integer?
3
What is the ninth root of 70875 to the nearest integer?
3
What is the square root of 1960 to the nearest integer?
44
What is 1378 to the power of 1/3, to the nearest integer?
11
What is 3522 to the power of 1/2, to the nearest integer?
59
What is 2018 to the power of 1/2, to the nearest integer?
45
What is 1202 to the power of 1/10, to the nearest integer?
2
What is the third root of 44834 to the nearest integer?
36
What is the fifth root of 426 to the nearest integer?
3
What is the third root of 2795 to the nearest integer?
14
What is 25359 to the power of 1/10, to the nearest integer?
3
What is 695 to the power of 1/10, to the nearest integer?
2
What is 75599 to the power of 1/2, to the nearest integer?
275
What is the square root of 4085 to the nearest integer?
64
What is 134337 to the power of 1/3, to the nearest integer?
51
What is the fourth root of 562 to the nearest integer?
5
What is the eighth root of 75603 to the nearest integer?
4
What is 528 to the power of 1/8, to the nearest integer?
2
What is the third root of 2090 to the nearest integer?
13
What is 5651 to the power of 1/3, to the nearest integer?
18
What is the square root of 28206 to the nearest integer?
168
What is the square root of 640 to the nearest integer?
25
What is 10063 to the power of 1/2, to the nearest integer?
100
What is the tenth root of 268 to the nearest integer?
2
What is the third root of 17786 to the nearest integer?
26
What is the ninth root of 25254 to the nearest integer?
3
What is the square root of 59253 to the nearest integer?
243
What is 6032 to the power of 1/10, to the nearest integer?
2
What is the cube root of 12955 to the nearest integer?
23
What is the third root of 3667 to the nearest integer?
15
What is 1046 to the power of 1/3, to the nearest integer?
10
What is 60 to the power of 1/4, to the nearest integer?
3
What is the square root of 1458 to the nearest integer?
38
What is the ninth root of 43092 to the nearest integer?
3
What is the square root of 1437 to the nearest integer?
38
What is the square root of 45498 to the nearest integer?
213
What is 19527 to the power of 1/5, to the nearest integer?
7
What is the cube root of 30301 to the nearest integer?
31
What is 27329 to the power of 1/2, to the nearest integer?
165
What is the square root of 386 to the nearest integer?
20
What is 98063 to the power of 1/2, to the nearest integer?
313
What is the eighth root of 22236 to the nearest integer?
3
What is 1606 to the power of 1/9, to the nearest integer?
2
What is 1755 to the power of 1/7, to the nearest integer?
3
What is the cube root of 9856 to the nearest integer?
21
What is 16292 to the power of 1/8, to the nearest integer?
3
What is 2194 to the power of 1/5, to the nearest integer?
5
What is the tenth root of 5197 to the nearest integer?
2
What is 1436 to the power of 1/3, to the nearest integer?
11
What is the third root of 3756 to the nearest integer?
16
What is 7747 to the power of 1/7, to the nearest integer?
4
What is the cube root of 306 to the nearest integer?
7
What is the fourth root of 6407 to the nearest integer?
9
What is 5586 to the power of 1/2, to the nearest integer?
75
What is 34074 to the power of 1/7, to the nearest integer?
4
What is the square root of 2896 to the nearest integer?
54
What is the square root of 47716 to the nearest integer?
218
What is 121404 to the power of 1/3, to the nearest integer?
50
What is 55765 to the power of 1/3, to the nearest integer?
38
What is 127 to the power of 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
g**4/10 + 1199*g**3/10 + 35880*g**2 - 36000*g = 0 for g.
-600, 0, 1
Let 380*s**2 + 1895*s - 25 = 0. Calculate s.
-5, 1/76
Factor -g**2/5 + 868*g/5 - 188356/5.
-(g - 434)**2/5
Factor -t**3 - 9*t**2 - 15*t + 25.
-(t - 1)*(t + 5)**2
Let 16*c**5 - 20*c**4 - 268*c**3 + 404*c**2 + 492*c - 144 = 0. Calculate c.
-4, -1, 1/4, 3
Factor 4*z**3 - 92*z**2 + 88*z.
4*z*(z - 22)*(z - 1)
Factor -3*r**4 - 39*r**3 + 45*r**2 + 39*r - 42.
-3*(r - 1)**2*(r + 1)*(r + 14)
Solve t**4 - 19*t**3 + 80*t**2 + 100*t = 0.
-1, 0, 10
Find w, given that 25*w**5 - 165*w**4 + 80*w**3 + 60*w**2 = 0.
-2/5, 0, 1, 6
Factor 174*x**2 + 345*x - 6.
3*(x + 2)*(58*x - 1)
Suppose -l**2 - 121*l = 0. Calculate l.
-121, 0
Determine u so that -2*u**5/9 + 4*u**4/3 + 32*u**3/9 - 148*u**2/9 + 18*u - 56/9 = 0.
-4, 1, 7
Factor -4*r**3 + 84*r**2 + 2020*r - 2100.
-4*(r - 35)*(r - 1)*(r + 15)
Suppose 5*k**2/2 - 15*k - 35/2 = 0. Calculate k.
-1, 7
Factor 2*p**2/13 - 2*p.
2*p*(p - 13)/13
Suppose -2*y**2/17 + 158*y/17 - 456/17 = 0. What is y?
3, 76
Factor 217156*y**4 - 421264*y**3 + 191256*y**2 + 12656*y + 196.
4*(y - 1)**2*(233*y + 7)**2
Suppose 5*p**5 - 1112*p**4 + 60929*p**3 + 100126*p**2 + 12992*p - 25088 = 0. Calculate p.
-1, 2/5, 112
Find j such that -4*j**2 - 4*j + 120 = 0.
-6, 5
Let 54*m**3 - 387*m**2 + 507*m/8 - 21/8 = 0. What is m?
1/12, 7
Let -16*k**4 + 52*k**3 - 44*k**2 + 8*k = 0. Calculate k.
0, 1/4, 1, 2
Factor -2*j**2 + 892*j + 2694.
-2*(j - 449)*(j + 3)
Determine r so that -3*r**2 - 29*r - 18 = 0.
-9, -2/3
Let d**4/5 - 41*d**3/5 + 36*d**2/5 + 164*d/5 - 32 = 0. What is d?
-2, 1, 2, 40
Find x, given that -2*x**5 - 14*x**4 + 38*x**3 + 14*x**2 - 36*x = 0.
-9, -1, 0, 1, 2
Let 3*h**5/4 + 5*h**4/4 - 19*h**3/4 - 17*h**2/4 + 4*h + 3 = 0. Calculate h.
-3, -1, -2/3, 1, 2
Find f, given that 2*f**3/17 + 958*f**2/17 + 224*f + 3800/17 = 0.
-475, -2
Determine w so that -21*w**4/5 - 18*w**3/5 + 84*w**2/5 + 72*w/5 = 0.
-2, -6/7, 0, 2
Factor -t**2/6 + 67*t/6 - 308/3.
-(t - 56)*(t - 11)/6
Solve 3*k**2 + 36*k - 84 = 0.
-14, 2
Solve 2*f**3 - 2*f**2 - 288*f + 288 = 0.
-12, 1, 12
Solve 2*l**3/3 - 10*l**2 - 78*l - 126 = 0 for l.
-3, 21
Factor -4*r**3 + 64*r**2 - 112*r.
-4*r*(r - 14)*(r - 2)
Factor -l**2/3 - 4*l - 11/3.
-(l + 1)*(l + 11)/3
Factor 2*v**3/15 + 38*v**2/5 + 316*v/15 - 144/5.
2*(v - 1)*(v + 4)*(v + 54)/15
Determine y so that -2*y**5/13 + 18*y**4/13 + 70*y**3/13 + 30*y**2/13 - 68*y/13 - 48/13 = 0.
-2, -1, 1, 12
Factor 3*t**3/7 + 306*t**2/7 - 135*t.
3*t*(t - 3)*(t + 105)/7
Factor -2*p**2 + 458*p + 460.
-2*(p - 230)*(p + 1)
Find q such that 5*q**4 - 258*q**3 + 148*q**2 + 258*q - 153 = 0.
-1, 3/5, 1, 51
Find m such that 3*m**2 - 636*m + 33708 = 0.
106
Let 4*l**3 - 1476*l**2 + 136896*l - 135424 = 0. What is l?
1, 184
Suppose 5*k**3 + 5*k**2 - 725*k + 715 = 0. What is k?
-13, 1, 11
Solve -2*r**2/7 + 218*r/7 - 2976/7 = 0.
16, 93
Factor -2*l**2/3 - 328*l/3 + 664/3.
-2*(l - 2)*(l + 166)/3
Solve -3*f**2/4 + 147*f/4 - 351 = 0.
13, 36
Factor 2*a**3/3 + 14*a**2 + 80*a + 200/3.
2*(a + 1)*(a + 10)**2/3
Determine z so that 7070281*z**2/6 - 10636*z/3 + 8/3 = 0.
4/2659
Determine r, given that 3*r**5/4 + 597*r**4/4 + 40377*r**3/4 + 978315*r**2/4 + 861900*r + 823875 = 0.
-65, -2
Find b, given that 3*b**4 + 27*b**3 - 48*b**2 - 180*b = 0.
-10, -2, 0, 3
Solve 3*i**3 + 150*i**2 - 309*i + 156 = 0.
-52, 1
Factor -3*b**3 - 270*b**2 - 4851*b - 24684.
-3*(b + 11)**2*(b + 68)
Find r such that r**3/4 + 985*r**2/4 + 5883*r/4 + 8811/4 = 0.
-979, -3
Solve 588*j**4/5 + 747*j**3/5 - 279*j**2/5 - 447*j/5 - 9/5 = 0.
-1, -1/49, 3/4
Factor -3*a**4 + 9*a**3 - 6*a**2.
-3*a**2*(a - 2)*(a - 1)
Factor 2*w**2/3 + 118*w/3.
2*w*(w + 59)/3
Solve 45*p**5 + 750*p**4 + 2330*p**3 + 2480*p**2 + 985*p + 130 = 0 for p.
-13, -2, -1, -1/3
Suppose s**3/2 + 257*s**2/2 + 16891*s/2 + 48387/2 = 0. Calculate s.
-127, -3
Suppose 4*a**5 - 76*a**4 + 192*a**3 = 0. What is a?
0, 3, 16
Determine y so that 140*y**2 - 415*y - 15 = 0.
-1/28, 3
Factor -k**3/2 - 117*k**2 + 475*k/2 + 354.
-(k - 3)*(k + 1)*(k + 236)/2
Solve -2*x**3/11 + 4*x**2 - 250*x/11 + 208/11 = 0.
1, 8, 13
Solve 3*x**3 - 804*x**2 - 1617*x - 810 = 0 for x.
-1, 270
Let -22*k**5/7 - 82*k**4/7 - 86*k**3/7 - 2*k**2 + 12*k/7 = 0. What is k?
-2, -1, 0, 3/11
Solve k**2/3 - 262*k/3 + 259 = 0 for k.
3, 259
Solve s**5/6 - 8*s**4/3 + 7*s**3/3 + 8*s**2/3 - 5*s/2 = 0.
-1, 0, 1, 15
Solve -2*k**4/5 + 40*k**3 - 6912*k**2/5 + 90112*k/5 - 262144/5 = 0 for k.
4, 32
Factor 2*a**3/13 - 4*a**2 + 280*a/13 + 784/13.
2*(a - 14)**2*(a + 2)/13
Suppose -7*x**5 + x**4 + 14*x**3 - 2*x**2 - 7*x + 1 = 0. What is x?
-1, 1/7, 1
Suppose c**3 - 15031*c**2 + 56490255*c - 56475225 = 0. Calculate c.
1, 7515
Factor 2*t**5/7 - 270*t**3/7 + 540*t**2/7 + 9720*t/7 - 34992/7.
2*(t - 6)**3*(t + 9)**2/7
Factor 27*f**3/2 + 2709*f**2/2 + 1788*f + 594.
3*(f + 99)*(3*f + 2)**2/2
Factor -4*d**4 - 3582*d**3/7 - 114432*d**2/7 + 8192*d/7.
-2*d*(d + 64)**2*(14*d - 1)/7
Solve 123*r**2/2 - 117*r/2 - 3 = 0.
-2/41, 1
What is b in 4*b**5 + 212*b**4 + 3464*b**3 + 17608*b**2 + 33396*b + 19044 = 0?
-23, -3, -1
Factor -18*n**2 - 22*n - 4.
-2*(n + 1)*(9*n + 2)
Factor 3*v**4 + 384*v**3 + 7182*v**2 + 48216*v + 110103.
3*(v + 7)**3*(v + 107)
Find i, given that -25*i**4 - 4340*i**3 + 1740*i**2 = 0.
-174, 0, 2/5
Factor -u**2 + 110*u - 3009.
-(u - 59)*(u - 51)
Factor -4*a**3 - 212*a**2.
-4*a**2*(a + 53)
What is n in -4*n**3 - 372*n**2 - 10080*n - 63504 = 0?
-42, -9
Factor -2*r**2 - 182*r.
-2*r*(r + 91)
Determine i so that 5*i**5 - 15*i**4 - 120*i**3 + 400*i**2 = 0.
-5, 0, 4
Determine d so that d**2 - 255*d - 774 = 0.
-3, 258
What is m in -2*m**2/11 + 14*m/11 - 24/11 = 0?
3, 4
Factor -h**2/8 - 23*h/2 - 529/2.
-(h + 46)**2/8
Determine p, given that -2*p**3 - 328*p**2 - 326*p = 0.
-163, -1, 0
Factor 4*g**3 - 12*g**2 - 16*g + 48.
4*(g - 3)*(g - 2)*(g + 2)
Let -m**4 - m**3 + 3*m**2/4 + m/2 - 1/4 = 0. Calculate m.
-1, 1/2
Factor -2*b**4/11 + 142*b**3/11 - 2448*b**2/11 - 2592*b/11.
-2*b*(b - 36)**2*(b + 1)/11
Factor -5*j**4/3 - 137*j**3/3 - 896*j**2/3 + 196*j.
-j*(j + 14)**2*(5*j - 3)/3
Determine h so that -3*h**5 - 105*h**4 - 102*h**3 = 0.
-34, -1, 0
Suppose 4*w**5 + 84*w**4 + 552*w**3 + 1192*w**2 + 1044*w + 324 = 0. What is w?
-9, -1
Let -2*c**5/5 + 12*c**4/5 - 2*c**3 - 48*c**2/5 + 72*c/5 = 0. Calculate c.
-2, 0, 2, 3
Solve 3*g**5/5 + 99*g**4/5 - 6*g**3/5 - 198*g**2/5 + 3*g/5 + 99/5 = 0.
-33, -1, 1
Solve -4*q**4/9 + 104*q**3/9 - 92*q**2/3 = 0 for q.
0, 3, 23
Factor 5*r**5 + 15*r**4 - 80*r**3 + 60*r**2.
5*r**2*(r - 2)*(r - 1)*(r + 6)
Factor -12*q**3 - 464*q**2 - 732*q + 296.
-4*(q + 2)*(q + 37)*(3*q - 1)
Determine z, given that -5*z**4 + 135*z**3 - 105*z**2 - 635*z - 390 = 0.
-1, 3, 26
What is d in -d**3/10 - 19*d**2/2 + 48*d/5 = 0?
-96, 0, 1
Determine y so that 2*y**3/13 - 374*y**2/13 + 20496*y/13 - 268128/13 = 0.
19, 84
Factor 2*v**3 - 456*v**2/5 - 1654*v/5 - 588/5.
2*(v - 49)*(v + 3)*(5*v + 2)/5
Suppose -39*h**5 + 111*h**4 - 21*h**3 - 123*h**2 + 60*h + 12 = 0. What is h?
-1, -2/13, 1, 2
Factor -12*y**3 + 24892*y**2 - 8296*y.
-4*y*(y - 2074)*(3*y - 1)
What is g in -4*g**5/9 - 4*g**4/9 + 16*g**3/9 + 16*g**2/9 = 0?
-2, -1, 0, 2
Find p such that 2*p**3 - 16*p**2 - 10*p + 168 = 0.
-3, 4, 7
What is p in -p**3 - 10*p**2 - 17*p + 28 = 0?
-7, -4, 1
Factor -18*m**2/5 - 2*m + 8/5.
-2*(m + 1)*(9*m - 4)/5
Solve -5*i**3 - 15*i**2 - 10*i = 0 for i.
-2, -1, 0
Determine d so that -2*d**3/21 - 2*d**2 - 66*d/7 + 242/21 = 0.
-11, 1
Find n such that n**2/4 - 13*n/4 - 7/2 = 0.
-1, 14
Factor w**5 - 24*w**4 + 210*w**3 - 784*w**2 + 1029*w.
w*(w - 7)**3*(w - 3)
Factor j**3/3 - 11*j**2/3 + 26*j/3 - 16/3.
(j - 8)*(j - 2)*(j - 1)/3
Factor -s**2/10 + 2956*s/5 - 4368968/5.
-(s - 2956)**2/10
Suppose 2*b**2/9 + 398*b/9 - 268/3 = 0. What is b?
-201, 2
Factor 4*z**4/5 - 8*z**3/5 - 12*z**2/5.
4*z**2*(z - 3)*(z + 1)/5
Solve -3*q**4/4 + 3*q**3 + 9*q**2/4 - 27*q/2 = 0 for q.
-2, 0, 3
Factor y**2 + 120*y + 3600.
(y + 60)**2
Let 3*p**2 + 432*p + 15552 = 0. What is p?
-72
Let -48*f**5 + 68*f**4 + 964*f**3 - 420*f**2 - 484*f - 80 = 0. Calculate f.
-4, -1/3, -1/4, 1, 5
Factor 2*w**5 - 8*w**4 - 20*w**3 + 56*w**2 - 30*w.
2*w*(w - 5)*(w - 1)**2*(w + 3)
Suppose -2*h**4/5 - 8*h**3/5 - 8*h**2/5 = 0. What is h?
-2, 0
Find a such that -3*a**5/7 - 3*a**4/7 + 96*a**3/7 + 408*a**2/7 + 624*a/7 + 48 = 0.
-2, 7
Suppose 3*t**3 - 105*
|
{
"pile_set_name": "DM Mathematics"
}
|
18. Let l be z(-11). What are the prime factors of 34 + l/7*(3 + -1)?
2
Suppose 6*t = -2*t + 24. What are the prime factors of (-104)/(-5)*t/(-6)*-10?
2, 13
Let o be ((-12)/(-12))/((-1)/4). Let h be 1 + 3 + o + 4. Suppose h*p - 252 = -0*p. List the prime factors of p.
3, 7
Suppose -2*i - 9 = 19. Let w be (4/i)/((-10)/70). Suppose 2*a - 28 = w. What are the prime factors of a?
3, 5
What are the prime factors of (-4)/(-8)*1750 - -2?
877
Let a = 11 + -9. Let g be a/8 + (-75)/(-20). Suppose -g*w + 43 = -13. List the prime factors of w.
2, 7
Let f(d) = -d + 3. Let g be f(0). Suppose 2*w + g*j - 5 - 106 = 0, 2*w - 106 = 2*j. Suppose w = a - 3. List the prime factors of a.
3, 19
Let v = 488 + -371. List the prime factors of v.
3, 13
Let l = 594 + -290. List the prime factors of l.
2, 19
Let b(r) = -5*r + 26. Let x(k) = 2*k - 9. Let p(u) = 4*b(u) + 11*x(u). What are the prime factors of p(7)?
19
Let l = 1537 + -478. What are the prime factors of l?
3, 353
Let m(b) = -1369*b - 105. What are the prime factors of m(-3)?
2, 3, 23, 29
Let y be (-804)/(1 - 4) - 3. Let f = y + -95. Suppose -z - 2*z + f = 5*r, -r = -z + 46. List the prime factors of z.
2, 5
Let b(h) = 2*h - 2*h + 5 - h + 1. Let u be b(3). Suppose -2*m - 27 = -u*m. List the prime factors of m.
3
Suppose 2*b - 5 = -23. Let c = 18 + b. What are the prime factors of c*(-5 + 2 + 4)?
3
Let i = 15 + -20. Let y(a) = -4*a - 18. What are the prime factors of y(i)?
2
Suppose -o + 2*o - 27 = 0. Let c = o - -12. List the prime factors of c.
3, 13
Let k = 1212 + -459. What are the prime factors of k?
3, 251
Suppose x + 3 = -2*x. What are the prime factors of 6*((2 - x) + 10)?
2, 3, 13
Suppose 2*n = 3*n + 3, 2*y - 5*n = -7. Let o(s) be the first derivative of -s**3/3 - 13*s**2/2 + 10*s + 2. What are the prime factors of o(y)?
2
Suppose -4*h + 16 = 4*f, -9 + 29 = 5*f - 4*h. What are the prime factors of 11 - (0/(-1) + f)?
7
Let d = 67 - 67. Suppose -4*l + h + 106 = -59, d = -3*h - 3. What are the prime factors of l?
41
What are the prime factors of (-4700)/(-8) - 3/(-18)*-9?
2, 293
List the prime factors of ((-72)/(-48))/(12/9736).
1217
Suppose 14*l - 1745 = 82003. List the prime factors of l.
2, 3, 997
Let a(d) = d**2 - 3*d - 2. Let x be (-4)/10 - 42/(-5). Suppose i = x - 0. List the prime factors of a(i).
2, 19
Let m = -18 - -22. Suppose -u - 20 = m. List the prime factors of 1 - 5 - -3 - u.
23
What are the prime factors of (-3694)/(-7) - ((-242)/14 + 17)?
2, 3, 11
Suppose 3*q = f - 158, -4*q - f - 119 - 101 = 0. Let j = q - -26. Let l = -5 - j. List the prime factors of l.
23
Suppose -3*p - 12 = -2*k, 2*k + 0*k - 4*p = 14. Let x = k + -1. Suppose -5*m + x*m = -63. What are the prime factors of m?
3, 7
Suppose -2*k = 2, -11 = o - 2*o + 5*k. Suppose o*f - 11*f = -90. List the prime factors of f.
2, 3
Let y(s) = 26*s. Let b be y(-1). Let h = -24 - b. What are the prime factors of 95/10*(h - -4)?
3, 19
Let f be 35/(-1)*(-34)/(-1 + 3). Suppose -4*t + 1 = -3*t, -3*v = t - f. List the prime factors of v.
2, 3, 11
Let d be 22/(-4)*(-11)/(44/(-40)). Let s = d - -88. What are the prime factors of s?
3, 11
Let p(c) = -4*c**2 + 16*c + 188. Let s be p(12). Let h = -229 - -90. Let a = h - s. List the prime factors of a.
3, 19
Suppose 2 = 5*b - 2*s - 18, -10 = 2*s. Let l be (984/20)/((-2)/(-5)). Suppose -2*r - b*d = -60, -4*r + d - 6*d + l = 0. List the prime factors of r.
3
Suppose 2*a + 2*r + 8 = 0, 2*a - 4*r - 18 + 2 = 0. Suppose a = -2*i - l + 29, 6*l = 2*i + l - 23. Suppose d - 5 = i. What are the prime factors of d?
19
List the prime factors of (-348)/(-9)*(-60)/50*-25.
2, 5, 29
Let m(l) = l**3 - 6*l**2 + 3*l + 7. Let q be m(5). Suppose -20*i + 11 = -209. Let w = q + i. List the prime factors of w.
2
Suppose 0 = -4*h - 4*f + 36, -2*h - 3 = -h - 5*f. Let t(m) = 17*m + 20. List the prime factors of t(h).
139
Let y(a) = -162*a - 11. Let s be y(-5). Suppose -4*j + f = -s, f = j - 3*f - 196. List the prime factors of j.
2, 5
List the prime factors of -6 - (6/(-15) - 88784/40).
2, 3, 41
Suppose -k = 5*y - 1676, y = 2*k + k - 5092. What are the prime factors of k?
2, 53
Let v(z) = 2*z**2 + 2*z - 2. Suppose -t = 3*i - 15, 4*i + 0 = 16. Suppose t*n + 0*w = 3*w - 18, -2*n - 18 = -4*w. What are the prime factors of v(n)?
2, 5
Let k = -1256 + 4237. What are the prime factors of k?
11, 271
Let o(r) = -7*r**3 + 3*r**2 + 3*r + 4. Let j be o(-2). Suppose -2*u + s + 47 = 6*s, -3*u = 3*s - j. Suppose -k = -8 - u. List the prime factors of k.
29
What are the prime factors of 8/(-1)*(-123)/4?
2, 3, 41
Suppose -98*u + 99*u - 5 = 0. Suppose -210 = 3*g - u*g. What are the prime factors of g?
3, 5, 7
Let m(g) = g**2 - 6*g + 3. Let n be m(5). Let b be 20 + 2 + n + 2. Let d = b + 3. List the prime factors of d.
5
Let i be (-36)/126 + (-4)/(-14). What are the prime factors of -9 + 340 + -1 + i?
2, 3, 5, 11
Let j = 346 - 676. Let k = -58 - j. What are the prime factors of k?
2, 17
Suppose 5*w + 91 = -2*w. Let h(q) = -q**3 - 11*q**2 + 17*q - 17. List the prime factors of h(w).
2, 5
Let g = 5361 - 2092. List the prime factors of g.
7, 467
Let f(c) = 24*c - 1. Let v be 0/3 - (-4 + 1). List the prime factors of f(v).
71
Let r = 643 + -495. What are the prime factors of r?
2, 37
Let m(r) = 10*r**2 + 12*r + 15. Let v be m(-8). Suppose -v - 551 = -10*x. What are the prime factors of x?
3, 37
Suppose 2*a + 55 = 3*j, -4*j - 37 - 3 = 3*a. Let m = 21 + a. List the prime factors of 9*(m + (-2)/6).
2, 3
What are the prime factors of 54999/63 - (1 + 8)?
2, 3
Let c(x) = -x**3 + 12*x**2 + 28*x. Let b be c(14). Suppose b*m - 4*y + 55 = m, 3*m - 141 = -4*y. What are the prime factors of m?
43
Suppose -12 = -4*d, 5*w + 5*d = w + 11. Let m be (w/(-2))/(3/(-48)). List the prime factors of (-6 + 1)*m/10.
2
Let v be (-18)/(-81) + 2/(-9). Suppose -3 = -v*h + 3*h. What are the prime factors of 201/12 + h/(-4)?
17
Let c(d) = -d**2 + 9*d - 4. Let y be c(8). Suppose -6*s = y*t - 11*s - 332, -5*t + 4*s = -415. List the prime factors of t.
83
Suppose 4*a = 6*k - 3*k + 31, 0 = 4*a - 4*k - 32. Let m = 10 - a. What are the prime factors of 10/(-15) - (-20)/m?
2, 3
Suppose -r + 429 = -q, 862 = 2*r - 3*q - 0*q. Suppose -165 = 5*w - r. What are the prime factors of w?
2, 13
Let n(p) = 2*p**2 + 15*p - 20. List the prime factors of n(-23).
3, 7, 11
Suppose 3*m + 352 - 8467 = 0. List the prime factors of m.
5, 541
Let u(i) = -199*i**3 - i. Suppose r + 5*j = 2 + 2, 0 = -3*r - 4*j + 1. What are the prime factors of u(r)?
2, 5
Suppose -17*q + 347 = -163. Let x = -11 + -5. Let t = x + q. List the prime factors of t.
2, 7
Let w = 34 + -28. Suppose 5*u = w*u - 71. List the prime factors of u.
71
Let f(r) = -201*r**3 + 7*r**2 - r + 4. What are the prime factors of f(-2)?
2, 821
Let k(q) = -q**3 - 34*q**2 + 33*q + 52. What are the prime factors of k(-36)?
2, 7, 13
Let g = -315 + 317. What are the prime factors of g?
2
List the prime factors of ((-25)/15)/(-1)*159.
5, 53
Let o(j) = 18*j + 78. List the prime factors of o(6).
2, 3, 31
Let q(p) = 16*p - 12. Let y be q(1). Let x(z) = z**2 - 11*z + 12. Let v be x(8). List the prime factors of (-2)/2 - v/y.
2
Let t(k) = -k**2 - 7*k - 2. Let n be t(-8). Let l be 15/(-6)*8/n. Suppose 75 = 3*w + l*j + j, 0 = 4*w + j - 97. List the prime factors of w.
2, 3
Let d = -4126 - -6235. What are the prime factors of d?
3, 19, 37
Let t(o) = -53*o - 122. What are the prime factors of t(-14)?
2, 5, 31
Suppose -13*h + 28 = -24. What are the prime factors of (-15 + h)/((-1)/8)?
2, 11
Let x(h) = 14*h**3 + 4*h**2 + 14*h - 62. What are the prime factors of x(3)?
2, 197
Let d(c) = -c + 1. Let k be d(1). Suppose k = -4*y + y + 246. Suppose 2*l - 4*a = -l + y, 2*l + 3*a - 49 = 0. What are the prime factors of l?
2, 13
Let f = 2696 + 519. List the prime factors of f.
5, 643
Suppose 1086 = 2*t - 4*r, 0 = 5*t + 3*r - 2885 + 131. What are the prime factors of t?
3, 61
Let v = 1818 + 430. List the prime factors of v.
2, 281
Suppose -2*v + 620 = -2*u, -u - 618 = u - v. What are the prime factors of u/(-9) - 12/54?
2, 17
Suppose 3*l + 5*u + 4 = 23, -57 = -5*l - 2*u. Suppose b + 4*y - 14 = 0, -2*b + l = -0*b + 3*y. List the prime factors of -6*1*(b + -3).
2, 3
Let g = -244 + 343. Suppose 259 - g = a. List the prime factors of a.
2, 5
Suppose 17*n - 11730 = 2*n. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
positive.
j**(-344/13)
Simplify (z/z**(3/5)*z*z**(2/7)*z/z**(3/11)*z*((((z/(z**9*z*z))/z)/z)/z)/z*z)**(-2/59) assuming z is positive.
z**(7382/22715)
Simplify (c/c**(-8))/c**(7/2)*c*c*c*c/(c**(-1/22)*c)*c/((c/(c/((c/(c/(c/c**(-24)*c*c)))/c)))/c) assuming c is positive.
c**(-170/11)
Simplify ((t**(-1/11)*t)/t**(-1/4)*(t*((t**(-2/9)*t*t)/t)/t)**(1/24))**(-26) assuming t is positive.
t**(-36803/1188)
Simplify k**(-2/33)/k*k**(4/11)*k*k/(k/(k/(k/((k*k**28*k*k)/k)*k))*k)*k**(-1/11) assuming k is positive.
k**(931/33)
Simplify (n**(-2/11)/n)**(-42)/(n**11/n**(-2/9)) assuming n is positive.
n**(3803/99)
Simplify ((o**(-1)*o**(2/15))**(4/17))**(-27) assuming o is positive.
o**(468/85)
Simplify (g**15)**(-39)*(g/(g**(5/2)*g))/g**28 assuming g is positive.
g**(-1231/2)
Simplify ((l*l/(l/(l/l**(1/7))))/l*l*l*l)**(2/33)/((l/l**(5/3))/((l/(l/l**(-3/7)))/l*l)) assuming l is positive.
l**(109/231)
Simplify (o/((o*o/(o/(o/(o*o*o**(-14)*o*o))))/o))**0/(o**(-12)/o*o*o**19/o) assuming o is positive.
o**(-6)
Simplify (((q**(-41)/q)/q)/q*q**18/q)**(4/33) assuming q is positive.
q**(-36/11)
Simplify k**(5/3)/(k/(k*k**(2/17)))*((k*k/k**(-2/21))/k)/k**(-3/7) assuming k is positive.
k**(1181/357)
Simplify ((((s**(-4)*s)/s*s)/s)/s)**33/(s**(1/6)/(s*(s/s**(3/8))/s*s)) assuming s is positive.
s**(-3925/24)
Simplify w**(2/19)/(w**16*w)*(w*w**(5/2))/(w*w**(-6)) assuming w is positive.
w**(-319/38)
Simplify ((t*t*(t/t**(-13))/t)/t**(-4/3))/((t/(t*t**(-5)))/t**(2/3)) assuming t is positive.
t**12
Simplify (v**(-2/7))**(4/29)*v**(2/11)*v/(v**17/v*v)*v assuming v is positive.
v**(-33177/2233)
Simplify (k/(k**2/k))**36/((k/k**10)/k**(-1/6)) assuming k is positive.
k**(53/6)
Simplify (c**(2/7))**4*c*c**(5/7)*(c/(c**(1/6)*c))/c*c assuming c is positive.
c**(113/42)
Simplify ((h**(1/5))**(-41)*(h**(-2))**43)**(-26) assuming h is positive.
h**(12246/5)
Simplify (b**2)**(5/7)/(b*b*b**0*b)**(2/5) assuming b is positive.
b**(8/35)
Simplify ((z/z**1)**33/((z*z/(z*z**(-3/5)))/(z*z**2)))**17 assuming z is positive.
z**(119/5)
Simplify (((s**12*s)/s)/s**(-1/5))/((s*(s**8*s*s*s)/s)/s**(-1)) assuming s is positive.
s**(1/5)
Simplify (h**(-19))**3/(h**(1/21)*h**11) assuming h is positive.
h**(-1429/21)
Simplify (((i*i/((i*i*i*i**(9/7)*i)/i))/i)/i)/((i/i**(-2/21))/i)*(i**(-2)/i)/i**18 assuming i is positive.
i**(-533/21)
Simplify ((n*(n/n**(-2/15)*n*n)/n)/(n/(n/(n*n**(-1/18)))))/(n**(-4))**(-21/8) assuming n is positive.
n**(-374/45)
Simplify (q*(q*q*q**5)/q*q)**45/(q*q**3*q*q**(-2)) assuming q is positive.
q**357
Simplify (i*i**0*i**(-10)/i)/(i**(1/8)/i*i**(3/20)*i) assuming i is positive.
i**(-411/40)
Simplify (r/r**(-12)*r**(-1/8))**(-24) assuming r is positive.
r**(-309)
Simplify (j*j**(-1)*j**0/j)/(j**17/j*j/(j/(j*j**(4/7)))) assuming j is positive.
j**(-130/7)
Simplify ((z**(-3)*z*z/z**2)/((z**(-3/7)/z*z)/z)**(10/3))**(-2/21) assuming z is positive.
z**(-74/441)
Simplify ((x**(-1/5))**(2/69)*(x**(-2/5))**(-47))**6 assuming x is positive.
x**(12968/115)
Simplify ((q*q**(-2/15)/q*q*q)/q)**(1/7)/(q**2/q)**(1/18) assuming q is positive.
q**(43/630)
Simplify (n/(n**4/n)*n**(2/3)*n)/(n**8*n**(-1/8)) assuming n is positive.
n**(-197/24)
Simplify u**20/(u/u**18)*u/(u/u**7)*u*u**(-18) assuming u is positive.
u**27
Simplify ((x**(-1/6)*x/(x*x/(x/x**(3/4))*x*x))**(-48))**(-1/12) assuming x is positive.
x**(-35/3)
Simplify ((o/(o**(25/6)*o))/(o/o**(-1/3)))**(-50) assuming o is positive.
o**275
Simplify (((j*j**(-3/8))/j*j)/j**1*(j**(-1/4))**(-8/7))**(-1/13) assuming j is positive.
j**(5/728)
Simplify (((l**(-1/14)/l)/l)/l**3)/(l**6*l/l**(2/13)) assuming l is positive.
l**(-2169/182)
Simplify (((q**(-2))**(-18))**(-3/10))**(-3/5) assuming q is positive.
q**(162/25)
Simplify (y*(y*y**(1/7))/y)/y**(1/30)*y/((y*y/(y/(y**(-5/7)*y)))/y)*y*y**(15/2) assuming y is positive.
y**(1084/105)
Simplify (((s*s*s**(1/18))/s*s)/s*s/(s*s**(-3))*s)/((s/(s*s**(-3/2)*s))/s**(-22)) assuming s is positive.
s**(-157/9)
Simplify (i/((i*i**(-1/15)*i)/i)*i*i/(i/((i**0*i)/i)*i))/((i/(i*(i/i**(-11))/i))/i**(14/9)) assuming i is positive.
i**(568/45)
Simplify ((q**5*q*q**4)/((q*q*q/((q/(q*q**3*q))/q*q))/(q/(q*q/(q/(q/q**(1/11)))))))**(1/5) assuming q is positive.
q**(23/55)
Simplify ((v**(-3/7)*v*v)/(v**10/v))/((v/(v/((v**13/v)/v)))/(v*v**10*v)) assuming v is positive.
v**(-45/7)
Simplify (g**(4/3))**(4/31)/(g**(-1/19)/g)**(-1/4) assuming g is positive.
g**(-161/1767)
Simplify ((v/(v*v*(v**7*v)/v))/v**(-5/4))/(v**(-2/5))**(-19/3) assuming v is positive.
v**(-557/60)
Simplify (((y/y**(16/3))/y*y*y**(-29))**(-2))**14 assuming y is positive.
y**(2800/3)
Simplify (((((j/j**(5/3))/j)/j)/((j*j*(j**13/j)/j)/j*j))/(j/(j/(j*j**(-1/7)*j))*j)**(-4/3))**(-30) assuming j is positive.
j**(2490/7)
Simplify (((l**(2/7))**(-2/45))**(-11/2))**(-17) assuming l is positive.
l**(-374/315)
Simplify ((v/(v**25*v*v)*v*v**(-20))**23)**(11/2) assuming v is positive.
v**(-11385/2)
Simplify ((r**2/r*r*((r*r**(-2/7))/r)/r)/((r/r**5)/r**7))**(1/11) assuming r is positive.
r**(82/77)
Simplify h**(-30)/h**(-20)*h**(3/13)*h*h*h*h**(-25) assuming h is positive.
h**(-413/13)
Simplify (j**(-6/5)*j**4*((j*(((j*(j*j*j**1)/j)/j)/j)/j*j)/j)**(-16/7))**47 assuming j is positive.
j**(846/35)
Simplify (l*(l**(-1/11)/l)/l)/(l*l**(-16)*l)*l**(1/26)/(l**28*l) assuming l is positive.
l**(-4591/286)
Simplify ((n**(1/2)*n)**(1/6)/(n**(-2/19)/n**6))**(-50) assuming n is positive.
n**(-12075/38)
Simplify (((v/v**(-1/5))/v**(-2))/(v/v**(-1))**(11/6))**(10/7) assuming v is positive.
v**(-2/3)
Simplify (m*m**(2/7)*m*m*m/m**(-5/3))**18 assuming m is positive.
m**(750/7)
Simplify (t**8*t*t**(1/17))/(t**(10/3)*t**(-2/11)) assuming t is positive.
t**(3314/561)
Simplify (d**(-2/9))**47*d/d**(10/9)*d**(-5) assuming d is positive.
d**(-140/9)
Simplify ((t*t**19)/t**(-26))/(t**(2/25)*t*t*t*t/(((t/(t**14/t))/t*t*t)/t)) assuming t is positive.
t**(748/25)
Simplify ((w*w**26)/(w*w/(w*w**23)*w))/(w**(-5)*w/w**(-19)*w) assuming w is positive.
w**32
Simplify (a*a**6/a*a)/a**12*a*a**(1/8)*a*a**(-9) assuming a is positive.
a**(-95/8)
Simplify (r/r**6)**(-10/3)/(r**(-4)*r)**(-45) assuming r is positive.
r**(-355/3)
Simplify (p**23*p**(6/5))**(-2/91) assuming p is positive.
p**(-242/455)
Simplify ((b/(b**24/b*b*b)*b)/b**(2/41))/(b/(b*b**(-6/11)/b)*b**13) assuming b is positive.
b**(-16955/451)
Simplify ((t*t*t**(5/2)/t)/t*t)/t*t/(t/(t/(t/(t*t**(-35)))))*t**(-10/13)*t**(-5/3) assuming t is positive.
t**(-2647/78)
Simplify (z*z**(2/9)*z/z**(-12))/((z**12*z)/z**10) assuming z is positive.
z**(101/9)
Simplify r*r/r**(-1/2)*r**(-3/10)/r*(r*r**(-2)*r)**(1/8) assuming r is positive.
r**(6/5)
Simplify ((g*(((g/g**15)/g)/g)/g)/g**(3/10))/(g/g**(1/7))**(-29/2) assuming g is positive.
g**(-271/70)
Simplify ((((w*w**2/w)/w)**(-1/32))**(-15))**(7/5) assuming w is positive.
w**(21/32)
Simplify (n*(n/n**8)/n*n**20)/((n/(n*(n/n**(-7))/n))/(n/n**(1/11)*n)) assuming n is positive.
n**(241/11)
Simplify z**21/(z/z**35*z*z*z)*(z**(-4/13))**(-46) assuming z is positive.
z**(860/13)
Simplify ((r/(((r**(-5)/r*r)/r)/r))/r**(-3))/(r/((r*r**(-3)*r*r)/r*r)*r)**(2/139) assuming r is positive.
r**(1525/139)
Simplify (b**(-21)/((b*b/b**(-5/6))/b))**15 assuming b is positive.
b**(-685/2)
Simplify (((u*u**(-16)*u*u)/u)/u**(-19))/(u**(-1)/(u**(-6/19)*u)) assuming u is positive.
u**(127/19)
Simplify ((h**(4/7))**(-4/25)/((h*h/h**(-1/4)*h)/h**3))**(-6) assuming h is positive.
h**(717/350)
Simplify (c/(c/c**(1/18))*c**(-8))/(c**(1/2))**(-34) assuming c is positive.
c**(163/18)
Simplify ((s*s/(s*s**(1/8)))/(s**8*s))/((s/(s*s**17))/s*s**(8/9)*s) assuming s is positive.
s**(575/72)
Simplify (((m/(m*m**(-2)))/(m**9*m*m*m))**(-14/9))**(-3) assuming m is positive.
m**(-140/3)
Simplify ((b*(b**(3/5)*b)/b*b)/b)/(b/(b/b**(-4/5)))*b*b**0*b/(b/(b/(b**6*b*b))*b) assuming b is positive.
b**(-23/5)
Simplify (p**(-1/3)/p)/(p/p**(-4))*p/(p*(p/p**(-8))/p*p)*p*p**(-3/4) assuming p is positive.
p**(-181/12)
Simplify ((p**(-6/13)/(p**(-13)/p))**(1/19))**(-6) assuming p is positive.
p**(-1056/247)
Simplify (w**(-13)*w)/w**(-1/4)*(w*w**(-1/10)/w)/(w*((w/((w**(2/35)*w)/w))/w)/w) assuming w is positive.
w**(-1651/140)
Simplify ((a**1)**(-3/28)*a**(-5)/(a/(a/a**11)))**(6/17) assuming a is positive.
a**(-1353/238)
Simplify p**(-11)/(p*p*p**(-3))*(p**(-7)*
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 126*a**2 - 97*a**2 to l*a + g*a**2 + u and give g.
35
Rearrange -150106*d**2 + 3 + 150108*d**2 - 201*d - 118*d to the form a*d + y*d**2 + g and give y.
2
Express -20707*k**3 - 21039*k**3 - 10*k**2 + 42040*k**3 in the form h*k**3 + j*k + u + x*k**2 and give h.
294
Rearrange -1252277 + 626134 + 626143 - 35747*i**2 to the form x*i + h + s*i**2 and give s.
-35747
Rearrange 4*d + 149212*d**2 - 5*d - 149214*d**2 - 188 to h + g*d + l*d**2 and give l.
-2
Rearrange (-13 + 38 - 20)*(16*b**2 + 14 - 14*b**2 - 27) to the form i*b + m*b**2 + z and give m.
10
Rearrange 3 + 65*h**2 - 56*h**3 + 652*h + 54*h**3 - 652*h - 4 to t*h + m*h**3 + f + j*h**2 and give f.
-1
Express 3*g**2 + 10620*g**4 + 10627*g**4 + 6*g**3 - 3 - 21251*g**4 as h + u*g**2 + a*g**3 + l*g + r*g**4 and give l.
0
Rearrange -56082*f - 2 + 258*f**2 + 3*f**3 + 112154*f - 56070*f to v*f**2 + x + o*f**3 + i*f and give v.
258
Express (274*l - 136*l + 29 - 136*l)*(-11 - 9 + 42) as k + j*l and give k.
638
Rearrange 5 + 725*l**3 - 2898*l**3 + l + 762*l**3 + 721*l**3 - l**2 + 728*l**3 to k*l**3 + s + b*l**2 + r*l and give b.
-1
Express -42*a + 41*a - 807 + 1116 + 719 + 1508 as c*a + t and give t.
2536
Express 6902*x**2 - 3278*x + 108 + 3278*x - 108 in the form n*x + k + w*x**2 and give w.
6902
Rearrange (-18*j - 3*j + j)*(-4 - j - 6*j + 16*j + 2*j**2) to the form v + x*j + r*j**3 + w*j**2 and give r.
-40
Rearrange 1738*m + 958*m + 3857*m to the form j*m + k and give j.
6553
Rearrange 2*x**2 - 27*x**4 + x + 10*x**2 + 26*x**2 + 31*x**4 - 314 + 315 to j*x**4 + h*x + d*x**3 + q*x**2 + m and give q.
38
Express 13809*f + 1510 - 3024 + 1515 as g*f + t and give t.
1
Express 2 - 4*f - 2*f**4 - 7*f + 2871*f**2 - 2875*f**2 as b*f**4 + o*f + y*f**3 + r + p*f**2 and give p.
-4
Express 210*p + 488*p + 936*p as u*p + g and give u.
1634
Express 182 + 5*u - 4*u**2 - 138*u**2 - u - 3*u - 181 as s*u + v + a*u**2 and give v.
1
Rearrange (-4815 - 11957 + 1639 + 551 - 2775)*((2 + 0 - 4)*(0*b**2 + 3*b**2 - b**2) - 2*b**2 - 2*b**2 + 5*b**2) to the form m*b + k + w*b**2 and give w.
52071
Express -78 - 2*p + 14*p**3 + p**2 + 71 + 0*p**2 + 3*p**2 in the form w*p**3 + k*p + x + c*p**2 and give w.
14
Express 527*r + 111*r + 504*r + 587*r in the form j + q*r and give q.
1729
Express -2*c**4 + 32*c**2 + 7*c**3 - 11*c**3 + 7596*c - 3 + 46*c**2 - 7596*c as h*c**4 + r + y*c**2 + a*c + z*c**3 and give y.
78
Express ((-1 + 3 + 0)*(2 - 2 - 1) - 3 + 2 - 1 + 5 + 1 + 8 - 19 - 13 - 7)*(30 + 29 - 60 + 18*j) as w + y*j and give w.
29
Express (275*g - 29*g**2 - 560*g + 289*g)*(3 + 0 - 2)*(0 - 2 - 1) as q*g + n + c*g**2 and give c.
87
Express (d**3 - d**3 + 2*d**3)*(-2 + 2 + 1) - 1738420 + 1738420 - 3156*d**3 in the form c*d**3 + i + j*d**2 + b*d and give c.
-3154
Express -6381*z + 3 - 6237*z - 6536*z + 19474*z as o*z + w and give o.
320
Express -r**3 - 51200*r**2 + 25603*r**2 + 3 - 2*r + 25599*r**2 + 0 - 3*r**4 as d*r**3 + w*r**2 + u*r + b*r**4 + q and give u.
-2
Rearrange -2492 + 30*m**2 + 2485 - 79*m - 29*m**2 to the form r*m + t*m**2 + q and give r.
-79
Express 4 - 7 - 615*x**2 + 1005*x**2 in the form g*x + n*x**2 + b and give n.
390
Express (2*s - 2*s + 2*s**3)*(2 + 2*s - 2) + 67*s**4 - 33*s**4 + 13*s**4 + 2003 - 42*s**4 in the form k + l*s**3 + a*s + j*s**4 + n*s**2 and give n.
0
Express 3*p**4 + 38618*p - 38616*p - 6*p**3 + 2*p**4 + 3 in the form l + j*p + h*p**2 + z*p**4 + c*p**3 and give z.
5
Express -1153*p - 45 - 140 + 185 as k*p + v and give k.
-1153
Express x**2 + 131*x + 30*x**3 + 120*x - 250*x in the form l + a*x + d*x**2 + r*x**3 and give l.
0
Rearrange (-1 + 75 + 2)*(-4 + 6 - 15)*(-l + 2 - 2) to the form i + x*l and give x.
988
Rearrange 8 + 415123*h**2 - 48 - 415110*h**2 to r*h + u + k*h**2 and give k.
13
Express (728 - 728 - 322*w)*(-3*w**2 + 0*w**2 + 5*w**2) - 2*w**2 + 2*w**3 + 0*w**3 + 2*w**3 in the form y*w**2 + j*w + z*w**3 + i and give y.
-2
Express -2612*y**3 + 3*y + 5250*y**3 - 2639*y**3 + 24*y**2 in the form m*y**3 + t*y**2 + k*y + q and give m.
-1
Rearrange (-3*u**3 + u**3 + 8*u**3)*(400*u - 143*u + 327*u) to the form j*u**3 + w*u**4 + p*u**2 + b + d*u and give w.
3504
Rearrange 246 - 485 - 3557*l**2 + 239 to the form i + r*l + n*l**2 and give r.
0
Express (93 - 104 - 3*s - 5*s)*(43*s - 11*s + 31*s) as q + a*s + z*s**2 and give z.
-504
Express 4*y**2 + 2360 - 2359 - 13*y**2 + 69*y - 2*y**3 + 19*y**2 as p*y + a*y**2 + j + k*y**3 and give p.
69
Rearrange (19556*q**2 - 198 + 3*q**3 - 19556*q**2)*(16 + 1 - 2) to the form j*q**2 + u*q**3 + y + t*q and give u.
45
Express 279 - 4280*c + 261 - 821 + 281 as q + m*c and give m.
-4280
Express 163*a + 239 - 227 + 6*a**2 - 2*a**3 - 85*a - 77*a as f + u*a + q*a**3 + x*a**2 and give q.
-2
Rearrange (16*c - 3 + 3)*((0 - 3*c + 0)*(-3*c + 3*c + 2*c**2) - 146*c**2 + 5*c**3 + 146*c**2) to a*c**4 + h + d*c + u*c**3 + n*c**2 and give a.
-16
Express 94*q - 707 + 13697 - 93*q as n*q + y and give y.
12990
Rearrange 2017*p + 3057*p + 1267*p + 3130*p - 1954*p to the form a + n*p and give n.
7517
Rearrange 2*t - 1539 + 252*t**2 + 764 + 770 to f*t**2 + r*t + h and give h.
-5
Rearrange -2 - 9*n + 1061*n**2 + 3 - 1049*n**2 to the form b*n + w + d*n**2 and give w.
1
Express -48*l + 56*l**4 - 2*l**2 - 54*l**4 - 3 + 0 + 5 as h*l**4 + t*l + n + q*l**2 + w*l**3 and give n.
2
Rearrange (100 + 107 - 163)*(-5 + 1 + 3)*(l + 4*l - 2*l)*(3 - 3 + 3) to the form g*l + b and give g.
-396
Rearrange 8*d**2 - 3*d**2 + 14*d - 5*d**2 - 45*d**3 + 48*d**3 to the form k + p*d + b*d**2 + c*d**3 and give p.
14
Express (-2 - 3 - 2*k + 3 + 1)*(91 + 109 + 96)*(2 + 4 - 5) in the form s + i*k and give s.
-296
Rearrange (-4*d + d + 2*d)*(-17858*d + 352 - 11506*d - 352)*(-4*d**2 + d**2 + 4*d**2) to the form p*d**3 + u*d**4 + s*d + f + j*d**2 and give j.
0
Express (6*i**4 + 3*i**4 - i**4)*(0 + 15 - 2) + 20*i**4 - 115*i + 115*i in the form s*i**2 + n + r*i + h*i**3 + j*i**4 and give j.
124
Rearrange (988*f - 496*f + 6 - 461*f)*(2 - 6 + 5) to the form s + c*f and give c.
31
Express 2 + 2587*t**3 + 2501*t**3 - 32034*t + 32033*t as s*t + l*t**2 + c + x*t**3 and give x.
5088
Rearrange m + 2*m + 5*m + (6 + 4 - 3)*(-2*m + 4*m - 4*m) + 4321 - 4321 + 230*m to n*m + y and give n.
224
Rearrange ((2 - 2 + 2)*(2*g - 2*g + 2*g) - 5*g + 5*g + 7*g - 104022 + 104022 + 476*g)*(3 - 3 + 1) to b + x*g and give x.
487
Rearrange 3557*i**4 - 898*i**4 - 895*i**4 - 895*i**4 - 3*i**3 + 2 + 3*i - 892*i**4 to the form l*i**2 + x*i**3 + h*i**4 + t*i + f and give x.
-3
Express -29*y + 2 - 7*y + y**4 + 10*y**3 - 4461*y**2 + 9*y + 4463*y**2 as i*y**4 + o*y + m + v*y**2 + l*y**3 and give l.
10
Express -11825*w - 4715 + 4715 - 1069*w in the form a + u*w and give u.
-12894
Express 32 - 1 - 104261*y + 52159*y + 51705*y in the form q + b*y and give b.
-397
Express -3 - 1985*a + 3 - 4067*a + 999*a in the form f*a + k and give f.
-5053
Rearrange 432*q - 91*q + 258*q - 2 + 1 + 104*q + (-5 + 2 + 2)*(3*q + q - 3*q) - q + 2*q + 2*q to the form c + h*q and give c.
-1
Rearrange (-1406*q - 1564*q + 1 + 2835*q)*(11*q + 7 - 7) to the form v + d*q**2 + x*q and give x.
11
Express (71425 + 71383 + 6*k - 142456)*(-3*k - k + 6*k) + (7*k - 2*k - 3*k)*(k + 0*k + k) + k**2 + 3*k - 3*k as j*k**2 + b + t*k and give j.
17
Express -360 - 373 - 2*x**2 + 1085 + 4*x - 364 as i + a*x**2 + b*x and give a.
-2
Express -9*t**2 + 5 - 140*t + 260*t - 127*t as b + f*t**2 + w*t and give w.
-7
Express -3 + 2 + 1887*u - 722*u - 877*u as t + i*u and give i.
288
Rearrange -5*f + 18 - 8*f**2 + 9*f**2 + 3*f + (4 - 9 - 8)*(15*f**2 + 0*f**2 + 14*f**2) to p*f + m*f**2 + r and give p.
-2
Express (3 + 2 - 1)*(351*x**2 - 215*x**2 + 372*x**2) as j*x + m*x**2 + i and give m.
2032
Express 8*h - 6*h - 1868*h**2 + 1482*h**2 as a*h + d + p*h**2 and give a.
2
Express -7*u**2 - 2 - 4972*u - 2*u**4 + 9945*u - 4977*u + 2*u**3 as j + y*u**2 + q*u**4 + f*u + s*u**3 and give y.
-7
Rearrange -342*x**2 - 370*x**2 + 708*x**2 - 60*x + 3 to v*x + y*x**2 + c and give v.
-60
Rearrange (5 - 5 + 14*k + (k + 2 - 2)*(-2 + 2 - 1) + 0*k - 3*k + 4*k)*(88 + 11 - 9) to the form o + u*k and give u.
1260
Rearrange (-300 - 624 - 246 + 229 - 20)*(1 + 140*m**3 + 4 - 128*m**3) to v*m**2 + c*m**3 + q*m + d and give c.
-11532
Express ((-5 + 3 + 1)*(5 + 5*g - 5) + (1 - 2 - 2)*(2*g - 3 + 1 - 4*g))*(-6*g + 17*g - 7*g) in the form h + c*g**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
.
252
Let w be (-6*3)/(27/90). Find the common denominator of 33/20 and 554/w - (-5 - -2).
60
Find the common denominator of 39/8 and (-61 + (-16)/2)/(-380).
760
Let m be (-1)/477*-1831*1. Let l = m + 38/53. What is the common denominator of -71/6 and l?
18
Suppose 2*c = -6, 2*u - 4*u - 1 = -5*c. Let z = -1/250 + 8314/375. Calculate the common denominator of z and -1 + (-110)/u + 0.
12
Let h(q) = -q**2 + 25*q - 8. Let w(y) = 24*y**2. Let u be w(1). Calculate the smallest common multiple of 18 and h(u).
144
Suppose 5*a - 6*a - z = -7, 4*a - 5*z + 17 = 0. Suppose 4*g - 34 = -a. Suppose 2*r - 3 = 25. Calculate the smallest common multiple of r and g.
56
Let h(b) = b**2 - 7*b - 8. Let k be h(8). Let m = 4 + k. Let l(d) = d**3 + 7*d**2 + 2*d + 16. Calculate the smallest common multiple of l(-7) and m.
4
Let s = 14 + -12. Suppose -3*b = -s*b - 164. Calculate the common denominator of -59/2 and (b/32)/((-1)/4).
2
Suppose 0*t + 51 = -3*t. Let a = t + 27. What is the least common multiple of (2 - 2) + 0 - -5 and a?
10
Let s(p) = -6*p + 170. Calculate the smallest common multiple of 28 and s(12).
196
Let n = 7/96 - 2891/2784. What is the common denominator of n and 11/9?
261
Let z(b) = b**3 + 6*b**2 + 4*b + 7. Let m be z(-5). Let u = -4 + m. Let c(y) = -5*y - 8. What is the smallest common multiple of c(-3) and u?
56
Let n = 12141 + -667773/55. Find the common denominator of n and -46/35.
385
Let i be 10602/(-14) - 4/6. Let l = i + 2255/3. What is the common denominator of l and -53/4?
28
Let c(q) = 2*q**2 + 3 - 3*q - 2 - 12*q**3 - q + 2*q. Let j be c(1). Find the common denominator of 321/66 + (-2)/j and 109/18.
198
Suppose 4*r - 26 - 6 = 4*s, 2*r = -3*s - 9. Calculate the least common multiple of (1 + 0)/(r/15) and 12.
60
What is the lowest common multiple of (117/(-12))/(4/(-64)) and 9?
468
Let y(m) = m**3 - 12*m**2. Let v be y(12). Suppose 5*u = 25, v = 3*i + u - 3*u + 10. What is the least common multiple of 22 and 3 + 77 + 2 - i?
902
Suppose 0 = -8*s + 214 + 42. Calculate the least common multiple of 32 and s.
32
Suppose -50 - 61 = 3*u - 3*d, -2*u - 69 = 3*d. Find the common denominator of 35/36 and (-12)/u - 131/(-18).
36
Suppose 3*n - 35 - 55 = 0. Let c(y) = 410*y - 5291. Calculate the lowest common multiple of n and c(13).
390
Let c = -19 + 38. What is the common denominator of -37/11 and 83/6 - c/38?
33
Let m(n) = -n - 1365. Let v be m(0). What is the common denominator of (-264)/(-16)*(-3 - -1) and 4/(-26) + (-1)/(v/1510)?
21
Let i = 2323535/4 - 11748149/20. Suppose 0 = -2*a + 7653 - 20685. Let l = i - a. Calculate the common denominator of 45/4 and l.
20
Suppose -5*v + 3*q + q = -92, -23 = -2*v - 3*q. Suppose 0*l - 5*l + 4*b = -92, -5*l - 2*b + 74 = 0. What is the least common multiple of l and v?
16
Let m(i) = -i**3 + 10*i**2 - 3*i + 8. Let s be m(8). Suppose u = -3*u + 4*t - s, 2*u - 4*t = -52. Calculate the least common multiple of 6*7/((-63)/u) and 10.
20
Let c = 74 - 71. Suppose 0 = r - 5*g - 33, -8*r = -c*r + g - 87. What is the least common multiple of 24 and r?
72
Let s = 4289/6 + -721. Let k be 4/(-530)*15/(-144). Let t = k + 3895/636. What is the common denominator of s and t?
24
Let b be 318135/18*4/20. Let n = b + -3557. Find the common denominator of n and 29/37.
222
Let s be (317892/24)/(2 + -2 + -4). Let u = s - -3321. Find the common denominator of -29/16 and u.
16
Let m be 8876/(-66) - (-8)/(-44). Let c = m - -4097/30. Let q = -1321/2 + 627. What is the common denominator of c and q?
10
Suppose 0 = -b + 2*r + 24, b - r - 45 = -6*r. What is the least common multiple of 15 and b?
30
Let c(y) = y**3 - 10*y**2 - 13*y - 11. Let g be c(12). Let s = g + -4. Let p = s + -927/8. What is the common denominator of p and 22/9?
72
Suppose 3*t = 5*a + 65, -2*t + 25 = -t - a. Calculate the least common multiple of 3 and t.
30
Suppose 5*r + 19 = 6*r. Let c = -22 + r. Calculate the common denominator of 42/11 and (124/7)/4 + c.
77
Suppose -5*m + 20 = 3*u - 7, 0 = 4*u + 3*m - 47. Let p(r) = -3*r + 24. What is the lowest common multiple of p(4) and u?
84
Calculate the least common multiple of 141 - 12/(-21)*(-70)/(-20) and 78.
858
Let z = 377 + -374. What is the least common multiple of 255 and z?
255
Suppose -4*g + 39 = 5*p - 26, -p - 45 = -5*g. Let c(u) = -37*u - 11. Calculate the lowest common multiple of g and c(-7).
1240
Let i = 1099 + -2281. Let f be (i/(-27))/((-2)/15). Let l = 344 + f. What is the common denominator of l and 1/6?
6
Suppose 6*h - 4 = 2. Find the common denominator of 49/16 and h + (-110)/32 + -3.
16
Let a = 11967 + -215333/18. Let k be (-10)/(-20) + (-79)/2. Find the common denominator of 10/(-24)*k/(-10) and a.
72
Suppose 0 = -2*h + 6*h - 152. Suppose h = -4*l + 2. Find the common denominator of 67*(18/(-20))/l and 91/8.
40
Suppose -2*v - k - 10 = -6*v, -3*k = 3*v. Calculate the common denominator of -3 + 345/(-100)*v and 531/12*(-2)/(-6).
20
Let a = 31 - 25. Let q = 10 + -6. Suppose -3 = q*l - 47. What is the least common multiple of a and l?
66
Let x be 8/((-62106)/62086 - -1). Let m = 24977 + x. Let w = 143 - m. Find the common denominator of -22/5 and w.
5
Let i = -9416/861 + 300/41. What is the common denominator of 4 - 98*1/6 and i?
21
Find the common denominator of ((-4)/(-66))/(((-24)/(-28))/(-3)) and -167/60.
660
Suppose -u + 29 = -3*l - 57, -2*l = 2*u - 204. What is the lowest common multiple of u and 77?
1078
Let u = 1463 + -1452. Calculate the smallest common multiple of u and ((-1)/(-2))/(1/18).
99
Let q(x) = -141*x + 8. Let s be q(6). Find the common denominator of (3 - s/(-170)) + 0 + 2 and -31/7.
595
Find the common denominator of -1 - -4 - ((-311)/(-66) + -1) and 17/6.
66
Calculate the common denominator of 71/6 and (10*(-403)/(-2145))/10.
330
Suppose s = 4*j - 6 - 40, -20 = -2*j + 2*s. Let p = 51 - 128/3. What is the common denominator of p and 3 - ((-231)/j - -3)?
12
Find the common denominator of -11/9 and 2 + 2 - (-202)/(-18).
9
Find the common denominator of (-25)/(-33) + 6/(-9) and 2/(-7) - (-1)/((-483)/(-1167)).
253
Let d = 7208141/60 - 120133. Calculate the common denominator of d and 127/6.
60
Let c be 2458/(-7) + 2/14. Find the common denominator of 0 and -2 + (c/21)/3.
7
Let l = 35 - -25. What is the smallest common multiple of 12 and l?
60
Suppose -2*v + 24 = -7*v + 3*o, 5*o - 27 = 4*v. Find the common denominator of (-2210)/(-272) + v + 0 and -73/12.
24
Let u = -478/3 - -1754/11. Calculate the common denominator of u and ((-16)/96)/((-40)/(-416)).
165
Calculate the common denominator of 147/(-27)*(9 + -10) and 179/(-15) - (-9)/15.
9
Let r be 1 + (3/(-2))/(9/(-8273)). Let h = r - 1373. Calculate the common denominator of h and (-4)/18 + (-566)/288.
48
Let j = -1997/60 + 188/15. Find the common denominator of 93/10 and j.
20
Suppose -2*p = 5*t - 34, -4*t - 11 + 49 = 2*p. Suppose -4*y + 5*v = -12 + 4, -4*y - 16 = v. Calculate the common denominator of (y - 165/(-63))*455/(-30) and p.
9
Let w = 88 - 88. Let d(i) = i**3 + 2*i + 1. Calculate the smallest common multiple of 6 and d(w).
6
Let x = -274365745/6824 - -40206. Let t = 133079/75064 + x. Let q = -327/2 - -183. What is the common denominator of t and q?
22
Let a(x) = 13 + 2 - 20 + x**2 + 2*x. Suppose 2*f - 25 = 7*f. Calculate the least common multiple of 12 and a(f).
60
Let j = 0 - 0. Suppose j = 29*k - 25*k - 24. Calculate the common denominator of 53/14 and k*(-3 + (-21)/24).
28
Suppose 13 = i - 0*i - 5*u, 0 = 5*u + 15. Let v(s) = 2*s + 3 + 2*s**2 + 2 - 7 + 1. Calculate the lowest common multiple of 3 and v(i).
3
Let k = -7 + 17. Suppose 29 = 2*g - 5*d, -4*d + 6*d + 66 = 4*g. Calculate the smallest common multiple of g and k.
170
Let y = 4/15571 - -1541465/249136. Calculate the common denominator of y and -73/38.
304
Suppose -6 = 5*n - 8*n. Suppose -n*w = -3*j + 40, j + 2*j - 3*w = 36. What is the lowest common multiple of j/20 + 12/10 and 1?
2
Suppose 4*a + 2 = 2*b - 0, a = 2*b - 17. Calculate the common denominator of 3/20 and (1/b)/((-4)/14).
220
Suppose 2*p = -2, -3*o + o + 13 = -5*p. Suppose -o*f = f + 15. What is the least common multiple of 9 and f/(-5) - 2/(-5)?
9
Suppose 15*i = 12*i + 33. Let f(m) = -15*m + 1. Let s be f(-1). Let a = s - 6. Calculate the smallest common multiple of i and a.
110
Let s = 98 + -44. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
Let t = -0.12 + 35.12. Put -5, 5/3, t in descending order.
t, 5/3, -5
Let p = 9 + -5. Put 0.2, 0, p in increasing order.
0, 0.2, p
Let x(y) = -7*y**3 + 2*y + 1. Let g be x(-1). Suppose 1 = p + g. Let u = -1 - -2. Sort 5, u, p.
p, u, 5
Let h = -4 - -3. Let r be -1*((-1 - -1) + -3). Let m(n) = -n**2 + 5*n - 4. Let c be m(r). Sort 4, c, h.
h, c, 4
Suppose 20 = 3*o + 5. Let k be (-2)/7 - (-74)/112. Sort k, o, 0.5 in increasing order.
k, 0.5, o
Let r(n) = n**2 - 9*n - 9. Let c be r(9). Let z = -4 - c. Put z, -0.05, -0.1 in decreasing order.
z, -0.05, -0.1
Let g(k) be the first derivative of -k**2/2 - k + 2. Let j be g(-2). Suppose -b + 2 - j = 0. Sort b, 0.3, 4.
0.3, b, 4
Let r = -0.36 + 0.06. Let b = -0.8 - r. Put 5, b, 6/11 in decreasing order.
5, 6/11, b
Let y(t) = t**2 - 4*t - 10. Let x be y(6). Let d be (-3)/x*(-7)/21. Sort d, -0.5, -3 in decreasing order.
d, -0.5, -3
Let r = 18 - 13. Let b = 6.91 - 7. Let m = b - 3.91. Sort r, m, 1/6 in increasing order.
m, 1/6, r
Let n = 0.25 + 0.15. Put n, -0.1, 7 in ascending order.
-0.1, n, 7
Suppose -4*n = 6*u - u - 26, 12 = 4*u + n. Suppose -2*c = -6*c. Sort -4, c, u in descending order.
u, c, -4
Suppose 3*x = 4*c + 1, -c - 3*x = 4*c + 35. Sort 4, 2, 0, c in descending order.
4, 2, 0, c
Let t(w) = 0*w**3 + 2*w**2 + 1 + 5*w**3 + 0*w**3 - 4*w**3 - 2*w. Let m be (2 - 5) + 0/(-1). Let b be t(m). Sort b, -3, -0.3 in ascending order.
-3, b, -0.3
Let o be (2/4)/(24/(-192)). Put o, -5, -1, 1 in decreasing order.
1, -1, o, -5
Let o = -8.1 + 8. Let w = -106.94 + 105. Let l = w + -0.06. Put 0, o, l in descending order.
0, o, l
Let g = 5 + -4. Let l = g - 2.6. Let k = l + 2. Sort k, -0.1, 0.3 in decreasing order.
k, 0.3, -0.1
Let c(b) = -b - 1. Let x be c(-5). Sort x, 5, -2 in decreasing order.
5, x, -2
Let b = 4 + -2. Let z be ((-2)/6)/((-1)/b). Let k = 1.2 + -1. Sort z, k, -0.4 in descending order.
z, k, -0.4
Let y = 257/9 - 85/3. Put -3/14, y, -4 in decreasing order.
y, -3/14, -4
Suppose -o = -f - 9, 5*o - f + 2*f - 51 = 0. Suppose o = -2*p - 0*p. Let a(k) = k**2 + 7*k + 6. Let r be a(-5). Put p, r, -3 in increasing order.
p, r, -3
Let c be (-10)/(-35) - (-26)/7. Let k = 1 + -1. Put c, 1, k in descending order.
c, 1, k
Let r = 1.5 + -0.7. Let l = r + 3.2. Sort 3/5, 0.1, l in descending order.
l, 3/5, 0.1
Suppose -4*l - l - 2*c + 456281 = 0, 2*l - 182513 = -c. Let h = -18616159/204 + l. Let o = -1/68 - h. Put 2/7, o, 2 in descending order.
2, o, 2/7
Let n = 16 + 1. Let u = n + -12. Let a = -6 + 6.5. Put -1/4, u, a in increasing order.
-1/4, a, u
Suppose 0*m = -2*m + 4. Suppose 2*d = -0*d. Suppose -v - 2*v - 12 = d. Sort m, v, 3 in decreasing order.
3, m, v
Let f(b) = 6*b**3 - 2*b**2 + 1. Let w be f(1). Let n(u) = 5*u + 20. Let z be n(-5). Put z, -4, w in descending order.
w, -4, z
Suppose -2*c - 3 = w - 0*c, -4*c - 16 = 0. Sort 2, w, -2 in descending order.
w, 2, -2
Let r be (-3 - -2)/2*-2. Let q = 45 + -30. Suppose q = -v - 2*v. Put v, -4, r in ascending order.
v, -4, r
Let o = -11 + 13. Let g(d) = -d - 2. Let s be g(2). Put 4, o, s in descending order.
4, o, s
Let f = -23 - -21. Sort 3, f, 4, 0 in descending order.
4, 3, 0, f
Let o = -3/37 + -25/148. Sort -4, o, -0.3.
-4, -0.3, o
Suppose z = 3*h - 0*h + 10, -4*h - 40 = 4*z. Let u = 5 - 3. Let x be (2 - 0 - 2)/u. Put 5, x, z in ascending order.
z, x, 5
Suppose -t = -0*t - 2. Let o = 26 + -22. Sort -4, o, t in increasing order.
-4, t, o
Let l be 1 - 9/6 - (-21)/(-6). Let b = -2 - -10. Suppose b + 12 = 5*r. Put -2, l, r in ascending order.
l, -2, r
Let w = -6.9 + 7.9. Let s be (4/10)/(2/10). Sort -3, s, w in decreasing order.
s, w, -3
Suppose g - 16 = -7. Let l = -11 + g. Put -5, l, 0 in decreasing order.
0, l, -5
Let w = -45.9 + 49. Let p = -3 + w. Put p, 0.5, -3 in decreasing order.
0.5, p, -3
Let p = -0.31 + 0.21. Sort 0.04, 0.5, -2, p.
-2, p, 0.04, 0.5
Suppose -b = 4*b. Let p = -2 - -3. Suppose 3*t - 2*t = -p. Put t, 4, b in descending order.
4, b, t
Let p = 0.16 + 2.84. Sort -1/5, p, 3.2 in increasing order.
-1/5, p, 3.2
Let l be (5/15)/((-1)/(-3)). Sort 2, -4, l, -1.
-4, -1, l, 2
Let u(t) = t. Let w be u(-10). Let l = w + 8. Put l, 3, 2 in ascending order.
l, 2, 3
Let w = -1.2 + 0.2. Let q = 88 - 85. Sort q, w, 0.1 in decreasing order.
q, 0.1, w
Let c = -0.2 + -0.2. Let k be (8/30)/((-18)/(-15)). Let u = -2.8 - -3. Put u, c, k in decreasing order.
k, u, c
Let g = 6.2 + -1.2. Let v = -0.11 + 3.31. Let s = 0.2 - v. Put -1/4, g, s in descending order.
g, -1/4, s
Let h = 1.1 - 4.1. Let d = 2.7 + h. Let g = -1 + 1.1. Put g, d, 1/2 in descending order.
1/2, g, d
Let x = -4 - -6. Suppose x = -f - 1. Let q = -3 - -6. Sort 2, f, q in ascending order.
f, 2, q
Let x be 123/39 - 14/91. Put 5/6, x, 6 in increasing order.
5/6, x, 6
Let n be ((-4)/(-10))/(16/20). Suppose 0*x - 28 = -2*x. Suppose 0 = -3*k - 12, 0 = -2*q + 3*k + x. Put n, q, -0.2 in increasing order.
-0.2, n, q
Suppose -5*i + c + 2 = -4*i, 5*c - 46 = -3*i. Suppose -w + 5*w = 0. Suppose 2*l - i*l - 5 = w. Sort l, 3, 1 in descending order.
3, 1, l
Let n = -61 - -64. Let g be 4/(-2) + -3 + 2. Put -4, g, n in decreasing order.
n, g, -4
Let s = -7 + 4. Put 0, s, -1 in increasing order.
s, -1, 0
Let k(v) = v**3 + 5*v**2 + 5*v + 5. Let z be k(-4). Let b be ((6/1)/3)/z. Let u be (-35)/(-7)*b/15. Put 2/9, u, 5 in decreasing order.
5, u, 2/9
Let w be (-39)/(-33) - (-2)/(-11). Sort 4, w, -2/7.
-2/7, w, 4
Suppose 1 = -2*i + 2*s - 3, -5*i + 6 = 3*s. Suppose i = -4*b - 6 - 2. Let v = 8 - 4. Sort -3, b, v in decreasing order.
v, b, -3
Let x = 193 + -197. Let a = -14875/498 + 179/6. Let s = -103/1743 + a. Sort s, x, -1 in ascending order.
x, -1, s
Let z = 95 - 951/10. Put z, 1/3, 2/17 in decreasing order.
1/3, 2/17, z
Let l = 128/171 - 10/19. Put 1, 2, l in descending order.
2, 1, l
Let x = 3 + -1. Let p = 6 + -3. Sort x, 0, p in increasing order.
0, x, p
Let p(r) = -r**3 + 6*r**2 - 4*r - 1. Let k be p(5). Let q = 5 - 9. Put k, -3, q in descending order.
k, -3, q
Let a = 3 + -3. Let o = -0.2 + a. Let l = -1.2 - o. Sort l, -0.2, 0 in increasing order.
l, -0.2, 0
Let b = -12 + 10. Let a = -2.3 - b. Sort a, -1/3, -2 in descending order.
a, -1/3, -2
Let k = 4 - 8. Let t = k + 3.9. Let v = t - -3.1. Sort -0.5, 2/3, v in decreasing order.
v, 2/3, -0.5
Let t(r) = -r**3 + 9*r**2 + 12*r - 5. Let d be t(10). Suppose -4*k + 9*k + d = 0. Put 0, k, -5 in increasing order.
-5, k, 0
Let t(v) be the third derivative of v**5/60 - 5*v**4/24 - v**3/6 - 2*v**2. Let z be t(5). Suppose -5*x - 8 = -3*x. Sort -5, z, x in ascending order.
-5, x, z
Let r = 4367/63 + 1630/9. Let m = 251 - r. Let p = 69 + -347/5. Sort 0, m, p in decreasing order.
m, 0, p
Let j = -34 - -14. Let q = j + 59/3. Put -0.4, -0.3, q in descending order.
-0.3, q, -0.4
Let t be -1 + 41/13 - (-6)/(-39). Put -2, -3, t in decreasing order.
t, -2, -3
Let g be (-1)/((-1)/(-3)*1). Suppose -36 + 20 = 4*t. Sort g, t, -0.1 in descending order.
-0.1, g, t
Let f = 2 - 2.5. Let y be 1 + (-33)/(-21) - 2. Put f, y, -1 in ascending order.
-1, f, y
Let r = 73 + -73.11. Put r, 5, -1/4 in ascending order.
-1/4, r, 5
Suppose -2*i = -6*q + 3*q + 19, 3*i + 30 = 3*q. Let k = i - -7. Sort 2, k, -0.1 in decreasing order.
2, -0.1, k
Let d = 16 - 13. Sort 2/5, d, -1/5.
-1/5, 2/5, d
Let f be (-2)/8*8/(-3). Let y = 2.3 - -0.7. Put -4/5, y, f in increasing order.
-4/5, f, y
Let o be (14 - 2)*(-5)/10. Put o, -3/7, 0.4 in increasing order.
o, -3/7, 0.4
Suppose -3*r = 3*o + 21, -20 = 4*o - 0*r - 4*r. Sort 3, o, -2 in increasing order.
o, -2, 3
Suppose -60*d + 62*d + 16 = 0. Put 0, d, -5, 1 in descending order.
1, 0, -5, d
Let w be -5*(-2)/10*0. Sort -2, w, 5, -1.
-2, -1, w, 5
Let d = 7 - 10. Let p = -47/32 - 1/32. Sort -0.5, p, d in descending order.
-0.5, p, d
Let y be -2 - ((-6)/(-3) + -1). Sort 4, y, 5, 1 in increasing order.
y, 1, 4, 5
Suppose -q - 10 = 3*h, -h + 2*q = -0*q + 15. Let l(s) = s**2 + 4*s - 3. Suppose 6 = -5*n - 19. Let d be l(n). Put h, 1, d in decreasing order.
d, 1, h
Suppose -f + 2*f = 2. Suppose t + f*t = 0. Let q be t + -2 - 11/(-7). Sort q, 0.2, 2.
q, 0.2, 2
Let o be (17 + -23)*(1 - 34/30). Sort o, -1/2, 0.9 in descending order.
0.9, o, -1/2
Let l be 18/84*(-14)/(-8). Put 4/3, l, -0.5 in increasing order.
-0.5, l, 4/3
Let v be (10/20)/((-1)/6). Put 12, v, 0 in decreasing order.
12
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*o**3 - 2*o**2 - 2
Let g(m) = -2*m**3 + m**2 + m. Let l = -16 + 9. Let t(u) = -4*u**3 + 2*u**2 + 2*u. What is l*g(p) + 4*t(p)?
-2*p**3 + p**2 + p
Let c(w) = 93*w**3 - 4*w**2 - 4. Let z(v) = -62*v**3 + 3*v**2 + 3. Give 5*c(o) + 7*z(o).
31*o**3 + o**2 + 1
Let c(x) = -798*x - 77. Let q(k) = 42*k + 4. What is -4*c(d) - 77*q(d)?
-42*d
Let j(v) = 2*v - 17. Let c(p) = 1. Determine 4*c(b) + j(b).
2*b - 13
Let s(t) = 23*t + 14. Let q(p) = -8*p - 5. Give -17*q(k) - 6*s(k).
-2*k + 1
Let f(n) = -42*n**3 + 12*n + 2. Let g(u) = -17*u**3 + 5*u + 1. What is -5*f(t) + 12*g(t)?
6*t**3 + 2
Suppose -3*n - 1 = -2*d - 6, 3*d = 15. Let x(y) = -2*y**2 - 2*y. Let a(r) be the second derivative of -r**4/3 - r**3/2 + 56*r. What is n*x(v) - 3*a(v)?
2*v**2 - v
Let b(f) = 4*f - 2. Let p(a) = -2*a + 1. Calculate -6*b(k) - 13*p(k).
2*k - 1
Let c(m) = 5*m + 5. Let l be c(-6). Let j = -36 - l. Let g(z) = z**3 - 16*z**2 + 11*z + 21. Let u(f) = 3*f**2 - 2*f - 4. Give j*u(r) - 2*g(r).
-2*r**3 - r**2 + 2
Let x(m) = 2*m**2 + 4*m + 5. Let z(w) = -2*w**2 - 3*w - 4. Suppose 0*k - 20 = -2*k. Suppose 4*d - k = -d. Determine d*x(g) + 3*z(g).
-2*g**2 - g - 2
Suppose 2*a - 30 = -a. Let w(y) = y + 2. Let x be w(2). Let m(f) = -3*f**2 - 2*f. Let z(n) = 7*n**2 + 5*n. What is a*m(t) + x*z(t)?
-2*t**2
Let h(z) = -26*z + 5. Let f(o) = 78*o - 14. Calculate 4*f(x) + 11*h(x).
26*x - 1
Let n(b) = 8*b**2. Let p(h) = -h**3 - h**2. What is -n(v) - 8*p(v)?
8*v**3
Suppose 7 + 13 = -4*i. Let z(m) = m**2 + 6*m - 3. Let c(g) = g**2 + 7*g - 4. Let d(w) = 5*c(w) - 6*z(w). Let y(n) = -n**2 - 2*n - 4. Determine i*d(a) + 3*y(a).
2*a**2 - a - 2
Let m(b) = 3*b. Let l(w) = 4*w + 15*w - 3*w. Suppose -16*p - 44 = -12*p. What is p*m(n) + 2*l(n)?
-n
Let w be -3*(-4)/30*-55. Let a be 4/(-22) - 70/w. Let z(p) = 7*p**2 + 5 - 2*p + 7 - a. Let l(s) = -4*s**2 + s - 5. Calculate 11*l(y) + 6*z(y).
-2*y**2 - y - 1
Let d(j) = 44*j. Let a(v) = -8*v. Let o be (1376/(-36))/8 + (-2)/9. What is o*d(c) - 28*a(c)?
4*c
Let u(j) = 161*j**3 - 21*j**2 - 21*j. Let k(c) = -16*c**3 + 2*c**2 + 2*c. What is 21*k(f) + 2*u(f)?
-14*f**3
Suppose -2*d + 8 = 10. Let g(y) = -y**3 - y**2 + y + 1. Let n(t) = t**2 + 5*t - 1. Let a be n(-5). Let c(v) = 2*v**3 - v**2 - v - 1. Give a*c(q) + d*g(q).
-q**3 + 2*q**2
Let b(u) = 3*u**3 + 5*u**2 + u - 6. Let f(g) = 3*g**3 + 4*g**2 + g - 5. What is -5*b(x) + 6*f(x)?
3*x**3 - x**2 + x
Let c(t) = t**2 + 2*t - 6. Let z = 2 - 0. Let f = -8 + z. Let s(n) be the second derivative of n**4/12 + n**3/3 - 5*n**2/2 - n. What is f*s(q) + 5*c(q)?
-q**2 - 2*q
Let t(f) be the first derivative of 0*f**2 + 1/3*f**3 + 1 - f. Let x = -6 - -7. Let p(w) = w + 4. Determine x*p(d) + 2*t(d).
2*d**2 + d + 2
Let f(b) = 7*b**3 - 5*b**2. Let w be 2/8 - 161/(-28). Let j = 9 - w. Let o(g) = -1 - 4*g**2 - 4 + 5 + 6*g**j. What is 4*f(n) - 5*o(n)?
-2*n**3
Let x(k) = -4*k + 3. Let q(c) = -4*c + 3. What is 6*q(i) - 5*x(i)?
-4*i + 3
Let r(q) = -q - 2. Let i(j) = j + 2. Let f(d) = -d + 9. Let s be f(0). Suppose 0 = -3*o - 0*o - s. What is o*r(v) - 2*i(v)?
v + 2
Let s(y) = 3*y**3 + 2*y**2 + 2*y - 2. Let m(v) = 3*v - 3 + 2*v**3 - 12*v**2 + 2*v**3 + 15*v**2. Calculate 2*m(u) - 3*s(u).
-u**3
Let k(g) be the third derivative of g**6/40 - 11*g**5/60 + g**4/12 - 7*g**3/6 + 5*g**2. Let q(w) = 2*w**3 - 6*w**2 + w - 4. Calculate 4*k(u) - 7*q(u).
-2*u**3 - 2*u**2 + u
Let t(g) = 2*g**2 + 3. Let b(i) = -i**2 - 11 - 2*i**2 + 7. Suppose -14*w + 13*w = -5. Determine w*t(m) + 4*b(m).
-2*m**2 - 1
Let j be 99/15 - 6/10. Suppose j*l = 4*l - 6. Let y(o) = -4*o - 3. Let b(d) = -11*d - 8. Determine l*b(n) + 8*y(n).
n
Let c(y) = 4*y. Let j(p) = -1 + 4 + 1 - 5 - 21*p. What is 11*c(l) + 2*j(l)?
2*l - 2
Let y(p) = p - p**2 - 6 + 9 + p**3 - 2. Let x(l) = 8*l**3 - 5*l**2 + 6*l + 5. Give x(n) - 5*y(n).
3*n**3 + n
Let o(q) = -7*q**2 - 7*q - 1. Suppose 15*h - 5*h = 60. Let l(t) = 8*t**2 + 8*t + 1. Give h*l(d) + 7*o(d).
-d**2 - d - 1
Let y(p) = 7 + 0 - 6*p + 0*p. Let k be y(3). Let g = -10 - -4. Let d(l) = 15*l - 4. Let x(n) = -8*n + 2. Determine g*d(w) + k*x(w).
-2*w + 2
Let l(m) = -14*m**3 - 5*m**2 - 2*m + 5. Let a(v) = -v**3 - v**2 + 1. Determine 5*a(f) - l(f).
9*f**3 + 2*f
Let h be (12/(-8))/(3/6). Let t(x) = -3*x. Let z be 4/14 - (-74)/(-14). Let v(y) be the third derivative of y**4/12 + y**2. Give h*t(w) + z*v(w).
-w
Let l(g) = -2*g + 1. Let h(j) = -2*j + 1. Let n be ((-1)/(-2))/(2/84). Suppose 0 = 3*y + 2*y + 3*z - n, -3*y = 2*z - 12. Give y*h(k) - 5*l(k).
-2*k + 1
Let n(v) = -10*v - 11. Let w(o) = -2*o - 2. Suppose 13 = -u + 17. What is u*n(c) - 22*w(c)?
4*c
Let u(z) = -3*z. Let j(i) = -7*i. Suppose 6*y + 55 = -5*y. Suppose 2*x = 4*x - 4. Calculate x*j(r) + y*u(r).
r
Let j(i) = -i + 1. Let m(u) be the second derivative of u**3 - 3*u**2/2 - 24*u. Give -3*j(q) - m(q).
-3*q
Let i = -1 - 5. Let z(w) be the first derivative of -4*w**3/3 - 13*w**2/2 - 3. Let l(b) = b**2 + 3*b. What is i*z(r) - 26*l(r)?
-2*r**2
Let z(o) = 1. Let a(k) = k + 3. Let l(d) = d + 4. Let h(t) = 2*a(t) - 3*l(t). Determine h(p) + 4*z(p).
-p - 2
Let q(n) = 14*n + 11. Let d(i) = -13*i - 9. Let c(l) = -5*d(l) - 4*q(l). Let x(g) = 4*g + 1. Calculate 3*c(j) - 7*x(j).
-j - 4
Let k(o) = 2*o**2 + 5*o + 5. Suppose -r + 7 = -7. Let i(g) = 6 - 3 + r*g + g**2 - 11*g. Calculate -10*i(h) + 6*k(h).
2*h**2
Let c(i) = -9*i + 6. Let k = 4 + -10. Let j(p) = -1 - 4 + p + 4. What is k*j(s) - c(s)?
3*s
Suppose k + 0*k = 0. Suppose -4*v + o + 21 = -k*v, v + 4*o = 1. Let a(y) = 3*y + 7. Let j(r) = 2*r + 5. Calculate v*a(w) - 7*j(w).
w
Let j(d) = 3*d**3 - 4*d**2 + 4*d + 8. Let a(k) = 3*k**3 - 5*k**2 + 5*k + 9. Give 4*a(o) - 5*j(o).
-3*o**3 - 4
Let p(v) = -2*v - 2. Let q(o) = 1. What is p(a) - 3*q(a)?
-2*a - 5
Let s(w) = -w**3 + w**2 - w + 1. Let m(u) = -u**2 + u**2 + u**2 + 3 - 4*u**3 - 2*u. Suppose 2*a = 7*a. Let p be (a - (1 - 0))/1. Determine p*m(g) + 2*s(g).
2*g**3 + g**2 - 1
Let t be (8/6)/((-20)/(-90)). Let z(g) = -5*g - 1. Let j(c) = 11*c + 2. Give t*j(m) + 13*z(m).
m - 1
Let a(y) = -77*y + 16. Let l(w) = 38*w - 7. Calculate -6*a(x) - 14*l(x).
-70*x + 2
Let l(p) = -11*p**3 + 11*p - 2. Let n(u) = 4*u**3 - 3*u + 18 - 17 - u. Determine 3*l(b) + 8*n(b).
-b**3 + b + 2
Let u(g) = -13*g + 13. Let f(v) = 3*v - 3. Determine 18*f(x) + 4*u(x).
2*x - 2
Let k(u) = 7*u**3 - 4*u + 1. Suppose 63 = -5*h - 4*i, 4*h = 3*i - 11 - 27. Let t(o) = 13*o**3 - 7*o + 2. Give h*k(v) + 6*t(v).
v**3 + 2*v + 1
Suppose -5*q + 3 + 2 = 0. Let k(t) = 0 - 2 - q + 2 + t + 2*t**3 + 3*t**2. Let n(w) = w**3 + 2*w**2 + w. What is 2*k(d) - 3*n(d)?
d**3 - d - 2
Let y(s) = 7*s - 8. Let f(h) = -8*h + 7. Determine 5*f(o) + 6*y(o).
2*o - 13
Let d(n) = -8*n**2 - 4*n - 8. Let x(a) = -a**2 - a - 1. Suppose 5*w + 0*m - 24 = -3*m, -4*m - 8 = 0. Suppose -4*p = p + 5. Determine p*d(i) + w*x(i).
2*i**2 - 2*i + 2
Let g be (-11)/((-77)/28) + 1*-1. Let n(j) = 6*j**3 - 2*j**2 - 4. Let c(w) = -7*w**3 + 2*w**2 + 5. Determine g*c(u) + 4*n(u).
3*u**3 - 2*u**2 - 1
Let a(y) = -y**3 + 5*y**2 - y + 4. Let o be a(5). Let t(n) = 1. Let g be (2 - 6/3)/(-2). Let z(m) = g*m - m + 25 - 21. Give o*z(d) + 4*t(d).
d
Suppose -2*z = -l, -2*z - 7 = -5*l + z. Let b(f) = -4 + 0*f + f - 3*f - f**l. Let o(g) = -2*g**2 - 2*g - 5. Determine -4*b(u) + 3*o(u).
-2*u**2 + 2*u + 1
Let z(g) = -10*g**3 - 4*g**2 - 1. Let v(h) = -h**3. Give -4*v(s) + z(s).
-6*s**3 - 4*s**2 - 1
Let o(c) = c**2 - c - 1. Let f(r) = -6*r + 5*r + 7 - 3*r**2 + 0*r + 4*r. Calculate f(h) + 4*o(h).
h**2 - h + 3
Let o be (-13 - -17) + (-5)/1. Let f(i) = 6*i + 2. Let r(c) = -2*c. Let k(l) = -3*l. Let p(t) = 3*k(t) - 5*r(t). Give o*f(d) + 8*p(d).
2*d - 2
Let r(n) = -10*n**2 - 10*n - 6. Let j(x) = -2*x**2 - 2*x - 1. Suppose 8*w = -42 - 86. Calculate w*j(m) + 3*r(m).
2*m**2 + 2*m - 2
Let i(b) = -5*b**3 + 5*b. Let m(c) = -4*c**3 + 4*c + 1. Give 2*i(a) - 3*m(a).
2*a**3 - 2*a - 3
Suppose 17*t - 18*t = -4. Let i(o) be the first derivative of -2*o**3 - 3*o - 2. Let w(a) = -7*a**2 - 4. Determine t*i(v) - 3*w(v).
-3*v**2
Let g(u) = -24*u**2 - u - 7. Let o(f) = -25*f**2 - f - 8. What is -6*g(n) + 5*o(n)?
19*n**2 + n + 2
Let r = 0 - 1. Let v(l) = -2*l**2 - l + 1. Let s(m) = -m**3 - m + 1. Calculate r*s(q) + v(q).
q**3 - 2*q**2
Let a(q) = -3*q**3 - 4*q**2 - q - 5. Let s(x) = x**3 + x**2 + x + 1. Determine -a(u) - 4*s(u).
-u**3 - 3*u + 1
Suppose 5*m -
|
{
"pile_set_name": "DM Mathematics"
}
|
/2 and 230/36 + 8/(-36).
6
What is the common denominator of 47/12 and (-6)/(-14) - 559/(-4004)?
132
Suppose 12 = 2*l + 3*z, -3*z + 0 = -l + 6. Suppose p - 3*p = -l. What is the least common multiple of 1 and p?
3
Let d = 197123/12 - 16439. Calculate the common denominator of -29/18 and d.
36
Calculate the common denominator of (-3)/2*(-460)/20 and 33/5.
10
Calculate the common denominator of -97/14 and (-4 + 42/(-312))*(-2)/5.
182
Suppose -2*t = 2*l - 1019 + 3209, 4350 = -4*t + 2*l. What is the common denominator of (-2)/7 + t/56 and 43/6?
12
Suppose 5*y + 3 = 33. What is the least common multiple of y and (-4)/(-14) - 26/(-7)?
12
Let d be (-23*1/30)/3. Let z = d - 2/45. What is the common denominator of z and -2/9?
90
Suppose 4*j = 5*u + 38, -5*j - 4*u + 6 = -62. Calculate the least common multiple of j and 3.
12
Let f be (-4 - (-6)/(-3)) + 1. Let c = 15 + f. What is the least common multiple of c and 7?
70
Let t = -1 + -2. Let h = 19 + t. Suppose d - 5*x = 5*d - 76, 0 = -4*x + h. What is the smallest common multiple of d and 20?
140
Suppose 0 = 11*g - 6*g - 150. Calculate the least common multiple of g and 27.
270
What is the smallest common multiple of 18 and (-182)/(-28) - 2/4?
18
Suppose d - 7 = 93. Calculate the common denominator of 55/8 and (-255)/d - (-3)/(-6).
40
Let b(c) = -c - 4. Let o(r) = -5*r + 2. Let h be o(2). Find the common denominator of b(h) and 83/10.
10
Let o be -3*43/(-45) + 3. Let a = o + -239/120. Calculate the common denominator of a and -71/2.
8
Suppose 6*u = u. Suppose u = 4*o + 6 - 38. What is the smallest common multiple of 16 and o?
16
What is the smallest common multiple of 4 and 4*7/(7/2)?
8
Find the common denominator of (-748)/(-288) + (-4)/18 and -25/18.
72
Let l = 183 + -114. Calculate the lowest common multiple of 15 and l.
345
Let z = -6 - 8. Suppose 5*i + 2*l = 133, -i = 2*i - l - 82. Find the common denominator of (2 - -17)/(i/3) and z.
9
Let l(z) = 334*z**3 - 3*z**2 - 6*z. Let f be l(-4). Let u = f - -470887/22. Let m = -491 - -3973/8. What is the common denominator of u and m?
88
Calculate the least common multiple of (2/(-6))/((-10)/120) and 14.
28
Calculate the common denominator of ((-513)/(-315))/((-1)/(-5)) and 31/5.
35
Let g(w) = w**3 - 2*w**2 - 2*w + 8. Calculate the common denominator of g(0) and 37/7.
7
Suppose p = 6*p + 135. Let g = p - -15. What is the common denominator of 89/20 and 18/g + (-107)/(-20)?
20
Let x(n) = n**3 + 3*n**2 - n + 1. Suppose 0 = -3*z - z + 36. What is the least common multiple of x(-2) and (-6)/z*(-3)/2?
7
Suppose 9 = 3*g - 3. Let v(y) = y**3 - 3*y**2 - 4. Let t be v(g). What is the common denominator of (-14)/4 - 8/t and 22?
6
Let j be (2 - 5 - 2)/(-1). Suppose d - 34 = j*s, 3*d + s = -d + 31. Calculate the smallest common multiple of d and 1.
9
Let o(n) = -2*n + 13. Let z be o(10). What is the common denominator of -59/22 and (77/z)/((-20)/22)?
110
Let l = 16594/4917 + -5/447. Suppose 25 = -5*i, -4*i - 23 = -5*b + 57. Find the common denominator of b and l.
11
Let z = 54 + -511/9. What is the common denominator of (-6)/(6/55)*1/12 and z?
36
Let m(a) = -3*a - 4. Let j be m(-3). Suppose y - j*h + 0*h - 16 = 0, -y = h - 16. Let n = 4 - 2. Calculate the least common multiple of n and y.
16
Suppose -5*b = -5*f - 5, -5*b + 11 + 2 = -f. Suppose 4*i = b*i + 4. Suppose 13 = i*d - 27. What is the smallest common multiple of d and 12?
60
Suppose 2*j - 3*z - 35 = -2*j, 0 = -3*j + z + 30. What is the least common multiple of j and 11?
11
Let r = 1 + -1. Let v = 4 + r. Suppose -v*m + 2 = -2*s, -2 = 3*s - 4*m - 1. What is the lowest common multiple of 11 and s?
11
Let s be 727161314/2436 - 2/(-7). Let m = -6268442/21 + s. Let p = 1/1218 - m. Find the common denominator of -19/5 and p.
15
Let u be (-106)/(-4) + 1/(-2). Suppose 5*p - 3*t = u, -5*t = p - t - 19. Calculate the smallest common multiple of 10 and p.
70
Let j be (12/8)/(1/2). Let l = 4 - j. Let v(b) = -b + 8. Calculate the least common multiple of l and v(0).
8
Let y(i) = -4*i + 5. What is the least common multiple of 15 and y(-7)?
165
What is the lowest common multiple of 20/15 - 26/(-3) and 8?
40
Suppose 3*g + 2*g + 25 = 2*m, -4*m + 68 = -4*g. Suppose -2*t = 2*t. Let h = m - t. What is the least common multiple of 14 and h?
140
Let x = 14941/54 + -1655/6. Calculate the common denominator of x and 8/27.
27
Suppose 2*f = -2*f - 8, -r + 12 = -f. What is the smallest common multiple of 6 and r?
30
Let d = -43 + 51. Let i be (-2 - -7) + (0 - 1). Suppose -7 = -p + 3*f, -4*p - i*f = -10 - 34. What is the smallest common multiple of p and d?
40
Let f be (3 - 2)/(3/(-39)). Let y(d) = -d - 4. What is the least common multiple of y(f) and 2?
18
Let s = -9913 - -15059. Suppose 0 = -5*q + 5*j + 25630, 0 = 3*q - 4*q - 4*j + s. Let n = 35969/7 - q. Calculate the common denominator of n and 7/8.
56
Suppose -3*q + 3 = -9. Suppose 1 + q = x. Suppose v = -2*v + 21. What is the least common multiple of v and x?
35
Let r = 112/1377 + -3176045/2754. Let l = 1150 + r. What is the common denominator of l and 48?
6
Let b(r) = -r**2 + 6*r + 5. Let l be b(6). What is the common denominator of (((-890)/12)/l)/(-3) and -29/44?
396
Let b = -98083/18 + 5451. Calculate the common denominator of -11/10 and b.
90
Let q = 27191/11 - 2469. What is the common denominator of 4/9 and q?
99
Let k = 11965/63 - 1380/7. Calculate the common denominator of k and 2 + (-30)/55 + 3.
99
Suppose 4*h - 41 - 7 = 0. What is the lowest common multiple of (-9)/h*(-23 - 1) and 14?
126
What is the smallest common multiple of 7 + -6 + 1 - 14/(-2) and 15?
45
Let z = 4000 - 40077/10. Calculate the common denominator of 67/9 and z.
90
Let b(t) = 4*t - 12. Let q(l) = l. Let v(u) = -b(u) + 5*q(u). Calculate the lowest common multiple of v(-6) and 16.
48
What is the lowest common multiple of ((-36)/21)/(1/(-7)) and (-2 - -25) + (-9 - -8)?
132
Suppose -11*o + 9*o - 26 = 0. Let m(s) = -s - 8. What is the smallest common multiple of m(o) and 3?
15
Suppose -6*r - 24 = -3*r. Let q = -550 - -6571/12. Find the common denominator of q and 8/16 + (-86)/r.
12
Let c(x) = 114*x**3 + 2*x**2 - 1. Let a be c(1). Calculate the common denominator of (-2)/(-4) - a/15 and 37/7.
42
Suppose -7*u + 15 = -3*u - 5*n, 10 = u + 5*n. Let j = -1 - -11. Calculate the lowest common multiple of u and j.
10
Suppose 3*o + 5*f - 82 = -19, -4*o + 3*f = -55. What is the lowest common multiple of o and 14?
112
What is the common denominator of -10/9 and 15/(-8)*20/15?
18
Let w = 109 + -154. Calculate the common denominator of (-4)/18 - (-266)/144 and (-93)/(-4)*(-10)/w.
24
Find the common denominator of 12/(-8) + 6/(-16) and -63/16.
16
Let l = 63/8 - 275/8. Let p(s) = -s. Let u be p(-1). Calculate the common denominator of (-10)/(u/(9/8)) and l.
4
Let w = -141280/59763 - -2/5433. Let t be (-71)/(3/141 + 0). Let x = t + 20065/6. What is the common denominator of x and w?
66
What is the smallest common multiple of 19 and (6/(-9)*5)/(4/(-12))?
190
Suppose 3 + 17 = 4*o. Let v be 56/20*5*1. Let s = v - 9. Calculate the lowest common multiple of s and o.
5
Let t = -1 - -15. What is the least common multiple of t and (-36)/(-2) - (2 + -4)?
140
Calculate the common denominator of (-4)/10 - 1064/(-160) and -41/10.
20
Let b be ((-105)/(-14))/(3/(-4)). Find the common denominator of 51/10 and (-867)/135 + (-2)/b.
90
Let j be 2/12*-3*5414. Let a = 54127/20 + j. Find the common denominator of a and (-1*1*-19)/22.
220
Let l be 106/16*1356/(-15). Let j = l - -602. Let t = -2131/114 + 48/19. Calculate the common denominator of j and t.
30
Calculate the common denominator of 184/(-12) + 6/2 + 3 and -3/11.
33
Suppose 5*a - a + 94 = 3*b, 155 = 5*b - 5*a. Let r = 77 - 35. Let u = r - b. What is the least common multiple of u and 14?
84
Let x be (-2)/(-10) + (-12542)/10. Let b = x + 2607/2. Let n = -182424/37555 + 2/5365. What is the common denominator of b and n?
14
Calculate the lowest common multiple of 106/10 + 18/(-30) and 22.
110
Calculate the lowest common multiple of 33/(-5 + 9 - 3) and 33.
33
Let y = -13412630/33309 - -732849082511/1837990620. Let p = -1/8277 + y. Calculate the common denominator of p and -93/4.
20
What is the least common multiple of 10 and (9/3)/((-15)/(-10))?
10
Let n = 24 + -18. Calculate the least c
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose -47 - 37 = 6*y. What is the remainder when 79 is divided by 7 - (-2 + 3)*y?
16
Let s be (-252)/(-66) - (-2)/11. Suppose 3*q = -5*x + 920, s*x - 651 = -3*q + 85. What is the remainder when x is divided by 17?
14
Suppose 5*o - 782 - 98 = 0. Suppose o = 3*x - 5*x. Calculate the remainder when 111 is divided by 4/22 - 1656/x.
16
Suppose 11 = -13*j + 141. What is the remainder when 108 is divided by j?
8
Let c(x) = x**3 + x**2 + 185. Let b be c(0). Let p = -179 + b. Calculate the remainder when p is divided by 3.
0
What is the remainder when 646 is divided by (-315)/(-270) + (-65)/(-6)?
10
Suppose 0 = -p - 4*m + 20, 2*p - 11 = 5*m + 16. Calculate the remainder when (-4992)/(-15) + (4 - 588/210) is divided by p.
14
Suppose 2*v - 24 = -4. Suppose -4*u + 3*h - 4*h - 771 = 0, 582 = -3*u - 2*h. Calculate the remainder when (-12)/(-20) - u/5 is divided by v.
9
Suppose 4*p + 22 = 2*k, 17*k - p = 18*k - 11. Suppose l + 1 = 4. Suppose -3*o = -5*m + 45, l*m - 5*m - 8 = 4*o. What is the remainder when k is divided by m?
5
Let c be (-2)/3*(-36)/(-8) - -693. Let a = 747 - c. What is the remainder when 204 is divided by a?
33
Let z = 239 + -237. Suppose h - 15 = p - 6, 5*p + 30 = 2*h. Suppose h*d + z*d = 406. Calculate the remainder when d is divided by 20.
18
Suppose 0 = -4*y - 2*o + 18, 3*o - 21 = -5*y - 0*o. Let t be (15/2)/((90/384)/5). Suppose 5*i = -75 + t. What is the remainder when i is divided by y?
5
Let b(c) = -3*c**2 + 75*c + 156. What is the remainder when b(0) is divided by 33?
24
Suppose 0 = 5*a - 4*r - 57, -349*r + 352*r - 6 = 0. What is the remainder when 4390 is divided by a?
9
What is the remainder when 1463/(-66) + 22 + 3607/6 + 0 is divided by 159?
124
Let w = 169 + -169. What is the remainder when 5*2/5 - (w + -8) is divided by 4?
2
Suppose -3*i + 4*i - 4 = 0. Let h(t) = 457*t + 26560. Calculate the remainder when h(-58) is divided by i.
2
Let j(r) = -r**2 - 27*r - 84. Let c be j(-22). Let v be (-340)/(-9) + 4/18. Let a = v - c. What is the remainder when 71 is divided by a?
11
Let o(u) = u**2 + 19*u + 25. Let n be o(-18). Suppose -25*j + 2272 = n*j. Calculate the remainder when j is divided by (2/4)/((-2)/(-72)).
17
Let w(l) = 39*l**2 - 172*l + 1392. What is the remainder when w(7) is divided by 100?
99
Let t(n) = 10*n - 16. Let m = 97 - 94. Suppose 4*x - 4*q + q = 13, -5*x + 18 = -2*q. Calculate the remainder when t(m) is divided by x.
2
Suppose 0 = 5*c - 3*g - 92, -80 = -4*c - 2*g - 2. Suppose -c*k = 4*k - 1104. Calculate the remainder when 190 is divided by k.
46
Let a = 47 + -51. What is the remainder when 53 is divided by a + 3 + (0 - -15*1)?
11
What is the remainder when 169/1014 + (0 - (-1013)/6) is divided by 29?
24
Suppose -2*m - 3*n + 1321 = 597, -1072 = -3*m - n. What is the remainder when m is divided by 18?
14
Let m(i) = i**3 + i**2 - i + 4. Let q be m(0). Let u(t) = 21 - 3*t + q*t + 3. Calculate the remainder when 141 is divided by u(0).
21
Let u = -55 + 58. Suppose 3*b + u*f - 24 = -0*b, 26 = 4*b + 2*f. Suppose j = -3*j + 76. What is the remainder when j is divided by b?
4
Let w = 232 - 228. Suppose -w*r + 1 = -5*o + 6, 3*r = 3*o. Calculate the remainder when 121 is divided by r.
1
Suppose -13219 - 14732 = -33*t. What is the remainder when t is divided by 171?
163
Let d be 1/((-6)/2241) - 4/8. What is the remainder when (d - -33)*(-2 - -1) is divided by 18?
17
Suppose -2*u = -3*p + 28 + 1784, -p + 591 = -5*u. Calculate the remainder when p is divided by 196.
18
Let l be -1*(5 + -1) + (-1 - -5). Suppose l = -36*m + 39*m + 18. Let c = 53 - m. Calculate the remainder when 174 is divided by c.
56
Suppose -4*a - 45 = -89. Suppose a*u - 314 + 72 = 0. Calculate the remainder when 58 is divided by u.
14
Suppose 44 = n - h + 269, 0 = -4*n + 3*h - 902. Let c = n - -297. What is the remainder when c is divided by 18?
16
Suppose l + 7*v = 8*v + 4727, l = -5*v + 4715. What is the remainder when l is divided by 34?
33
Suppose 39*c - 36*c = -2*j + 1167, 3*j - 6*c = 1698. What is the remainder when j is divided by 177?
45
Suppose 894 + 231 = 5*i. Suppose h = u + 3*u + 48, -5*h = -5*u - i. Calculate the remainder when 172 is divided by h.
40
Let w = 74 + -58. Suppose -w*j + 1134 = 206. Calculate the remainder when j is divided by 32.
26
Suppose 17*p + 102 = 23*p. Let t = 159 + p. Suppose 0 = 15*f - t + 26. What is the remainder when 22 is divided by f?
2
Let z(b) = 4*b**2 + 14*b + 15. What is the remainder when 480 is divided by z(4)?
75
What is the remainder when 134 is divided by 22/(2464/1328)*3/((-12)/(-28))?
51
Let q(u) = u**3 - u**2 - 6*u + 6. What is the remainder when q(5) is divided by (-21 - 1)/(17 + -19)?
10
Let i(s) = s**3 - 2*s**2 + s + 3. Let n be -1*2/2 + (-4 - -7). Let a be i(n). Calculate the remainder when (a*268/20)/((-2)/(-4)) is divided by 34.
32
Suppose -18 = -9*h - 0*h, -130 = -2*o - 5*h. What is the remainder when 590 is divided by o?
50
Suppose 0 = -23*x + 1502 + 982. What is the remainder when 423 is divided by x?
99
Let n be (235 - 0) + -1 + 0. Let z = 584 - n. Suppose 4*q - 442 = z. Calculate the remainder when q is divided by 50.
48
Calculate the remainder when 1669 is divided by 2682/16 - ((-83)/8 - -10).
157
Let s(i) = -i**2 - 7*i - 1. Let l be s(-8). Calculate the remainder when 78/l*-3 + -4 is divided by 10.
2
Suppose 270 - 29 = 4*u + k, 4*u - 5*k = 211. Let l = 1124 - 594. What is the remainder when l is divided by u?
58
Suppose 3*f = -14 - 1, 5*f + 217 = -3*m. Let d(y) = -y**3 + 11*y**2 + 12*y + 10. What is the remainder when (m/(-20) - (-1)/(-5)) + 24 is divided by d(12)?
7
Let n be -4 - (-10 - -4 - (-2)/(-2)). Suppose -4*t - 78 = -3*m, 2*m + 16 - 68 = n*t. What is the remainder when m is divided by 5?
1
Let c = -97 - -102. Suppose 0 = -0*r + c*r - 95. Calculate the remainder when 417 is divided by r.
18
Let j(b) = -33910*b + 43. Let n = 19 - -5. Calculate the remainder when j(0) is divided by n.
19
Let s = -6974 + 8527. Calculate the remainder when s is divided by 156.
149
Let k = 4568 - 4550. Calculate the remainder when 26062 is divided by k.
16
Suppose 253*s - 250*s - 312 = 0. Suppose 8*n - s = 120. What is the remainder when 103 is divided by n?
19
Let s(d) = 108*d + 1130. Calculate the remainder when 248 is divided by s(-10).
48
Suppose -16*m = -4*m. Suppose -745 = 2*h - 7*h. Suppose m = 3*c - 94 - h. What is the remainder when c is divided by 21?
18
Suppose 185*p + 186850 = 555*p. Calculate the remainder when p is divided by 159.
28
Suppose p - 8456 = 5*d - 2*p, -4*d - 6770 = -5*p. What is the remainder when d/240*-3 - 2/16 is divided by 8?
5
Let g = -593 - -722. What is the remainder when 399 is divided by g?
12
Let a(b) = -b**2 - b + 154. Let v be a(0). Suppose -v = -13*w - 50. What is the remainder when 34 is divided by w?
2
Let i = -984 - 116. Calculate the remainder when 369 is divided by ((-10)/(-3))/5 + i/(-15).
73
Let u(l) = -43*l + 687. Calculate the remainder when u(8) is divided by 37.
10
Suppose 3*g + 4*c + 614 = 0, -4*g + 3*c - 1012 = -185. Let s = g - -231. What is the remainder when s is divided by 13?
12
Suppose 3*v + 2*t = -1224 - 524, 5*v - t = -2896. Let z = v - -605. What is the remainder when 45 is divided by z?
20
Let q(d) = 1107 - 2*d + d - d**3 + 5*d**2 - 1085. What is the remainder when 753/12 + 1/4 is divided by q(0)?
19
Suppose -88 = -6*k + 98. Calculate the remainder when (1 + 0/(-1))/(1/83) is divided by k.
21
Let u = 3234 + -2666. Calculate the remainder when u is divided by 82.
76
Let p(n) = 3*n**2 - 99*n - 111. Calculate the remainder when p(44) is divided by 71.
63
Suppose 4*j - 140 = 16. Suppose 0 = -3*n + 10*n. Calculate the remainder when j is divided by (-2 + n)/((-14)/147).
18
Let y = -131039 + 131221. Let l(s) = -s**3 + 3*s**2 + s - 3. Calculate the remainder when y is divided by l(-3).
38
Let l = 176 - 174. Suppose -l*k - 4*i + 112 = -2*i, -3*k + 2*i = -148. What is the remainder when k is divided by 5?
2
Let z(y) = 5*y - 45. Let a be z(15). Let g = -28 + a. Suppose g*w - 145 = 119. Calculate the remainder when w is divided by 45.
42
Let p = 116 + -90. Suppose 0 = -2*h - 5*f + p, 3 = 2*f - 5. Suppose 4*l - 45 = -h*z, 2*l - 40 = -0*l + 2*z. What is the remainder when l is divided by 4?
3
Suppose -46*n + 905 = -51*n. Let r = n + 207. Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
h(w) = -38*w + 22. What is h(1)?
-16
Let g(a) = 24*a - 7. Give g(7).
161
Let n(t) = -t**3 + 14*t**2 + 29*t + 37. Give n(16).
-11
Let g(i) = -i**3 + 12*i**2 - 12*i + 20. What is g(11)?
9
Let k(j) = 3*j - 5. Calculate k(-3).
-14
Let z(g) = g**3 + 4*g**2 + 4*g + 2. Determine z(-3).
-1
Let x(j) = j**3 - 11*j**2 - 15*j + 39. Give x(12).
3
Let i(y) = 13*y**2 - 6*y + 1. Determine i(1).
8
Let d(p) = 10*p**2 - p + 1. What is d(-2)?
43
Let j(b) = -2*b + 25. Give j(12).
1
Let x(m) = -m**2 + m + 1. Determine x(-1).
-1
Let g(k) = k**3 + 8*k**2 + 2*k - 4. Give g(-6).
56
Let n(r) = -5*r - 92. What is n(-17)?
-7
Let k(c) = 3*c. What is k(-3)?
-9
Let c(l) = -l**3 + 11*l**2 - 6*l + 3. Determine c(10).
43
Let q(d) = -2*d - 2. What is q(3)?
-8
Let n(l) = -l**2 - 16*l + 11. Calculate n(-15).
26
Let c(z) = -4*z - 15. Give c(-8).
17
Let b(a) = -4*a**2 - 4*a - 4. Calculate b(-1).
-4
Let j(g) = g**3 + 27*g**2 - 29*g + 13. Calculate j(-28).
41
Let y(p) = p**3 - 7*p**2 - 7*p + 2. Determine y(9).
101
Let m(y) = -2*y**2 + 83*y - 265. Determine m(38).
1
Let c(z) = -2*z**3 + 8*z**2 + 3*z + 7. Calculate c(5).
-28
Let o(v) = v**3 + v**2 - 13*v - 3. Calculate o(-4).
1
Let o(y) = -y**3 - 12*y**2 + y + 21. What is o(-12)?
9
Let q(b) = -2*b**2 - 9*b - 13. Calculate q(-4).
-9
Let o(c) = c**3 + 4*c**2 + 6*c + 6. Determine o(-4).
-18
Let o(i) = -i**3 - 8*i**2 + 8*i + 1. Determine o(-9).
10
Let u(q) = 2*q**3 - 11*q**2 - 6*q + 2. Determine u(6).
2
Let r(l) = -9*l**2 - l. Give r(1).
-10
Let r(h) = 17*h - 27. Calculate r(-3).
-78
Let z(a) = a**3 + 3*a**2 + 3*a + 1. Give z(3).
64
Let f(m) = -m**2 + 12*m + 5. Give f(10).
25
Let c(a) = 2*a**3 + 7*a**2 + 3*a + 5. What is c(-3)?
5
Let p(h) = -h**2 + 8*h + 2. What is p(10)?
-18
Let o(i) = -i**2 - 2*i - 1. Determine o(-2).
-1
Let i(g) = g**3 + 3*g**2 - 2*g - 6. Determine i(-4).
-14
Let b(d) = -d**3 - 17*d**2 - 3*d + 22. What is b(-16)?
-186
Let a(z) = z**2 + 6*z - 3. Give a(4).
37
Let h(m) = 6*m - 16. Determine h(-9).
-70
Let m(h) = 4*h**2 - 55*h - 20. Calculate m(14).
-6
Let l(v) = 2*v**3 + 28*v**2 - 12*v - 180. What is l(-14)?
-12
Let u(g) = g**3 - 4*g**2 - 20*g - 18. Give u(7).
-11
Let t(d) = -d + 3. Determine t(14).
-11
Let f(d) = d**3 + 5*d**2 + 7*d + 1. Determine f(-5).
-34
Let t(r) = -8*r - 43. Calculate t(-6).
5
Let l(s) = s**2 + 14*s + 16. Determine l(-8).
-32
Let q(z) = -z**3 - 3*z**2 + 12*z + 48. What is q(-4)?
16
Let u(n) = -n**2 + 7*n + 64. Give u(12).
4
Let g(w) = -w**2 - 15*w + 19. What is g(-17)?
-15
Let b(r) = -3*r**3 - 4*r**2 + 3*r + 2. Determine b(1).
-2
Let u(p) = -6*p**2 - 10*p - 2. What is u(-3)?
-26
Let t(k) = k**3 + 10*k**2 - 8*k + 5. Give t(-11).
-28
Let p(z) = -2*z**2 - 24*z + 17. Determine p(-11).
39
Let w(b) = -3*b**3 + b**2 - 2*b. Determine w(1).
-4
Let o(g) = -9*g - 2. Calculate o(-1).
7
Let f(v) = v**2 - 4*v + 12. Give f(8).
44
Let o(i) = 2*i**2 - 31*i + 13. Give o(12).
-71
Let n(c) = -c**3 - 9*c**2 - 2*c + 9. What is n(-4)?
-63
Let m(d) = -d**3 + 7*d**2 - 5*d + 7. Determine m(5).
32
Let v(w) = -w**3 + 3*w**2 + 65*w - 194. Determine v(3).
1
Let i(h) = -h - 6. Calculate i(-3).
-3
Let v(p) = -p**2 + p + 9. Calculate v(-3).
-3
Let o(u) = 4*u**2 + 5*u - 6. Calculate o(2).
20
Let c(y) = -y**3 + 2*y**2 + 14*y - 8. Determine c(5).
-13
Let f(g) = 5*g - 23. Calculate f(5).
2
Let i(m) = -m**2 + 10*m + 55. What is i(14)?
-1
Let y(u) = u**3 + 7*u**2 + 9*u - 5. Determine y(-5).
0
Let v(r) = r**2 + 5*r + 8. Calculate v(-8).
32
Let n(h) = 8*h - 37. Determine n(6).
11
Let k(t) = t**2 - t + 2. What is k(-2)?
8
Let x(o) = o**3 + 52*o**2 - 48*o + 265. Calculate x(-53).
0
Let w(v) = -v**2 - 6*v + 13. Determine w(-11).
-42
Let p(b) = b**3 - 8*b**2 + 9*b - 12. What is p(5)?
-42
Let w(d) = -4*d**3 + d**2 + 6*d - 1. What is w(3)?
-82
Let s(w) = -w**3 - 15*w**2 - 17*w - 19. Calculate s(-14).
23
Let b(s) = -s**2 + s + 2. Calculate b(-2).
-4
Let x(n) = -7*n**3 - 2*n**2 + 2. Determine x(1).
-7
Let v(s) = -s**2 - 32*s + 22. What is v(-33)?
-11
Let g(m) = -2*m**2 - 4*m + 14. Calculate g(-5).
-16
Let f(m) = -4*m**2 - 5*m + 4. What is f(3)?
-47
Let k(u) = -6*u**3 - 36*u**2 + 3*u + 21. Give k(-6).
3
Let o(j) = 10*j + 187. Determine o(-23).
-43
Let u(z) = z**3 - 2*z**2 - 19*z + 12. What is u(5)?
-8
Let y(t) = -3*t**2 - 5*t - 11. What is y(0)?
-11
Let u(r) = 5*r**2 + 40*r + 70. Give u(-5).
-5
Let y(s) = 33*s**2 - 1. What is y(-2)?
131
Let c(p) = -2*p**2 + 2*p + 2. Give c(4).
-22
Let s(g) = g**3 + 17*g**2 + 65*g. Give s(-6).
6
Let u(k) = -k**2 - 4*k - 36. Give u(0).
-36
Let z(m) = 55*m + 379. Calculate z(-7).
-6
Let c(h) = h**3 + 5*h**2 - h + 2. Calculate c(-4).
22
Let a(c) = c**3 + 11*c**2 + 7*c - 13. Calculate a(-10).
17
Let s(a) = 4*a - 68. What is s(25)?
32
Let u(k) = -11*k - 15. Determine u(-6).
51
Let k(x) = -3*x**3 + 2*x - 13. Determine k(4).
-197
Let u(p) = 3*p - 33. Determine u(11).
0
Let w(u) = -u**2 - 6*u + 20. Give w(-9).
-7
Let l(z) = -z**3 + 12*z**2 + z - 28. Determine l(12).
-16
Let n(w) = w**3 + 11*w**2 + 8*w - 33. What is n(-10)?
-13
Let w(h) = -h**3 - 2*h**2 + 12*h + 15. Calculate w(-6).
87
Let l(u) = -u**2 - 10*u - 1. What is l(-9)?
8
Let z(q) = 8*q - 101. What is z(13)?
3
Let t(q) = -q**2 - 25*q + 147. What is t(-30)?
-3
Let s(d) = -2*d**3 + 13*d**2 - d - 13. What is s(6)?
17
Let z(i) = -3*i**2 - 12*i. What is z(-5)?
-15
Let i(z) = 41*z**2 - 204*z - 4. Give i(5).
1
Let p(x) = x**2 + 8*x + 14. Determine p(-8).
14
Let n(m) = 26*m + 4. Give n(-2).
-48
Let x(h) = h**3 + 4*h**2 + 3*h + 6. Calculate x(-3).
6
Let j(b) = -2*b - 9. Determine j(-6).
3
Let p(d) = 7*d - 7. What is p(7)?
42
Let q(n) = 55*n - 441. Calculate q(8).
-1
Let n(b) = 2*b**2 - 12*b - 6. Calculate n(6).
-6
Let m(d) = -d**2 - 3*d + 1. Calculate m(-3).
1
Let t(q) = 2*q + 25. Give t(-13).
-1
Let q(l) = 5*l - 21. Calculate q(3).
-6
Let n(v) = v**3 - 9*v**2 + 2*v - 21. Determine n(9).
-3
Let g(i) = i**2 + 5*i. Give g(-6).
6
Let t(c) = -16*c + 66. What is t(6)?
-30
Let p(q) = -2*q - 47. Calculate p(-24).
1
Let v(o) = o**2 + 10*o - 8. Give v(-11).
3
Let r(h) = h**3 + 3*h**2 + 1. What is r(-3)?
1
Let z(p) = -6*p**3 - 3*p**2 - 2*p + 2. Determine z(-1).
7
Let l(i) = 6*i + 19. What is l(-10)?
-41
Let v(a) = a**3 - 9*a**2 - 11*a + 6. Give v(10).
-4
Let s(f) = -f**3 + 21*f**2 - 20*f + 39. Calculate s(20).
39
Let b(l) = 2*l**2 + 4*l + 7. Give b(-1).
5
Let g(w) = w**3 - 7*w**2 - w + 14. Calculate g(8).
70
Let j(w) = w**3 - 2*w**2. What is j(3)?
9
Let h(y) = -y**3 + 43*y**2 - 45*y + 124. Determine h(42).
-2
Let m(i) = -13*i + 160. What is m(14)?
-22
Let l(b) = -b**2 - 12*b + 49. What is l(3)?
4
Let q(i) = -i**3 + 16*i**2 + 15*i + 10. What is q(17)?
-24
Let q(c) = 18*c - 132. What is q(8)?
12
Let h(n) = -n**3 + 18*n**2 - 2*n + 11. What is h(18)?
-25
Let i(z) = z**3 - 12*z**2 + 10*z + 16. Calculate i(11).
5
Let s(d) = -d**3 - 13*d**2 - 13*d - 17. Determine s(-12).
-5
Let o(j) = -j + 25. Calculate o(32).
-7
Let d(u) = -u**3 - 6*u**2 - 2*u - 4. What is d(-7)?
59
Let r(q) = -2*q**3 - 6*q**2 + 2*q - 14. What is r(-4)?
10
Let x(b) = -76*b + 2. Calculate x(0).
2
Let q(b) = b**3 + 14*b**2 + 5*b + 17. Calculate q(-14).
-53
Let g(i) = i**3 - 11*i**2 - i + 6. Calculate g(11).
-5
Let y(g) = 16*g + 151. Calculate y(-9).
7
Let d(n) = -3*n + 2. Determine d(4).
-10
Let h(z) = 6*z - 54. Calculate h(8).
-6
Let q(o) = o - 12. Determine q(0).
-12
Let y(h) = -h**3 - 12*h**2 + 12*h - 11. Calculate y(-13).
2
Let v(b) = b**2 + 2*b. Determine v(-6).
24
Let u(g) = g**2 + 14*g - 4. What is u(-7)?
-53
Let w(v) = v**3 - 11*v**2 - 11*v - 16. Determine w(12).
-4
Let r(u) = -2*u**2 - 11*u + 13. What is r(-7)?
-8
Let a(j) = -j**2 - 7*j - 9. Give a(-5).
1
Let m(t) = 46*t - 789. Give m(17).
-7
Let a(h) = -2*h + 2. What is a(5)?
-8
Let f(o) = 4*o + 6. Determine f(11).
50
Let v(h) = -h**2 - 10*h + 1. Determine v(-9).
10
Let x(t) = -2*t**3 + 2*t**2 - 2*t - 1. Give x(3).
-43
Let r(p) = -p + 11. What is r(13)?
-2
Let i(d) = -2*d**3 + 34*d**2 - 32*d + 18. What is i(16)?
18
Let j(d) = 7*d**2 - 21*d + 4. Calculate j(5).
74
Let k(y) = 4*y + 8. Give k(-3).
-4
Let r(b) = -2*b**2 + 6*b - 1. Determine r(4).
-9
Let n(b) = b**3 - 20*b**2 + 20*b - 22. Determine n(19).
-3
Let y(c) = -2*c**2 + 9*c - 7. Calculate y(5).
-12
Let d(q) = 2*q**2 - 3*q + 3. Give d(3).
12
Let g(k) = 5*k + 7. Calculate g(4).
27
Let s(t) = 3*t + 3. Calculate
|
{
"pile_set_name": "DM Mathematics"
}
|
- 810*t = -40*u + 60, -2*u - t = u + 2 for u.
1
Solve 5*k + 288 + 200 = -4*f + 621, k = 4*f - 151 for f.
37
Solve -2*h - 5*m + 2708 = 2693, -8*h - 65 = 3*h - 2*m for h.
-5
Solve r - 28 = 4*b, -5*r + 7*r = -33*b - 24*r - 94 for b.
-6
Solve 0 = -10*s + 2*u + 74, -60 = 2*s + 3*u - 85 for s.
8
Solve 2269*y - 2268*y = -4*c + 13, -2*c - 74 = 12*y for c.
5
Solve -3*u - 115 = 3*t - 31, -3*t - 56 = u + 28 for t.
-28
Solve -j - 66*n = -0*j + 386 - 54, 3*j = n - 1 for j.
-2
Solve f - 3*u - 8 = 0, 434*f - 215*f - 5*u = 218*f + 10 for f.
5
Solve 0 = 3*c + 31*i + 63, i - 13686 + 13689 = 0 for c.
10
Solve 0 = -2*r - 26*v + 28*v + 30, 27*r - 38*r - 3*v - 1 - 2 = 0 for r.
3
Solve -2*x + 6*g + 7 + 1 = 0, 11*x - 4*g = 44 for x.
4
Solve -23336 = -4*x + b - 23319, 3*x = 17*b - 8 + 37 for x.
4
Solve 5*i + 7 = 3*m - 5, 5*i - 14*m + 16 = -15*m for i.
-3
Solve -4*v - 3*h = 2*h + 20, -106414*h = v - 106415*h + 5 for v.
-5
Solve 0 = 2*g + 2*r + 51*r + 276 - 72, -4*g + 24 = -2*r for g.
4
Solve -3*p + 19*q + 165 = 0, -5*p + 2*q + 504 = 996 - 500 for p.
-2
Solve -5*c - 431*a = -427*a - 42, 5*c + 9*a = 82 for c.
2
Solve 2*m + 395 = 3*j + 389, -6*m + 5*j - 8 = -2*m for m.
3
Solve 10 = -904*w + 909*w, -10*w - 16 = -6*z for z.
6
Solve -k - 2*b = -20, 160 = 187605*k - 187597*k + b for k.
20
Solve 30372*g + 160 = -3*p + 30361*g, -p = -5*g + 10 for p.
-35
Solve 65*x = -3*k + 1009*x - 2808, -11 = -37*k + 71*k - 35*k - x for k.
8
Solve -p - 9 - 4 = -q, -3*q + 15 = -74*p + 77*p for p.
-4
Solve -4*v - 6*m + 48 = 0, 19*v - 404*v = -385*v + m - 8 for v.
0
Solve 3*v = -16*a - 183 + 737, 507*a - 250*a - 25 = -5*v + 256*a for v.
-2
Solve -2*w = -2*h + 10, w - 364 = -6*h - 327 for h.
6
Solve -z = -11*k + 14, 13*k - 18*k - 14 - 14 = 11*z for k.
1
Solve 141 = -2*x + 2*l + 201, x + 26 = -l for x.
2
Solve 0 = -2*l - b - 12, 44 = 127*l - 131*l + 3*b for l.
-8
Solve 4*d = -10461*q + 10457*q + 52, 0 = 2*q - 18 for d.
4
Solve -2*a + 31 = -2*c - 67, -116*c - 5454 = -a for a.
2
Solve -3*l + 191068*z - 191063*z + 7 = 0, l + 4*z - 8 = 0 for l.
4
Solve 0 = b + 33*v + 2049, 3*v + 3864 = 4*b + 3690 for b.
-3
Solve 4*l = 0, -4*p + 13*p + 0*l = -6*p - 2*l + 1020 for p.
68
Solve -2247*s + 3*j - 1166 = -2207*s, -5*j + 68 = -2*s for s.
-29
Solve 31*s = 2*o - 40, 2511*s + 3*o + 37 = 2509*s for s.
-2
Solve -22*w + 2 = -u + 93, 0 = 3*u - 4*w - 25 for u.
3
Solve 3 + 22 = -4*o + 3*a, a = 20090*o - 20095*o - 55 for o.
-10
Solve -j + 5 = -2*t + 18 - 26, 2*t + 8*j = 86 for t.
-1
Solve 153*g - 2*t = 157*g - 18 + 60, 7*g - 432 = 3*g + 156*t for g.
-9
Solve t + 8*b + 13 = 7*b, -160*t - 926 = -163*t + 190*b for t.
-8
Solve -3*z - 137 = -w, 5*z + 20441 = 20221 for w.
5
Solve 4*a + 4*t = -4, 5*a - 2777 = -6*t - 2783 for a.
0
Solve 0 = -u - 3*r - 6, 0 = -881*u + 886*u + 9*r for u.
9
Solve -r - 11*k - 66 = -8*k, -420 = 2*r - 10*k - 640 for r.
0
Solve -6450*u + 2*n - 32 = -6448*u, 12*n - 148 = u for u.
-4
Solve 14*i - 3*l + 6*l - 19 = 9*i, i - 4249 + 4298 = 6*l for i.
-1
Solve 2*h + 141 = -5*g, 2*g + 20*h + 71 = 34*h - 15*h for g.
1
Solve d + 2*d - 3*v = 7*d + 6, 2*d + 9*v - 21 + 72 = d for d.
3
Solve -a - 8*y + 513 = -5*y + 492, 4*a + 2*y + 2*y = 44 for a.
6
Solve -4*y - 2*c - 1 + 12 = -7, 73*y + 66 = 4*c - 51 for y.
-1
Solve -2*n - 3*q - 6 = 0, -275021*n = -275059*n - 5*q + 198 for n.
6
Solve 98*x - 2*a + 1956 + 1608 = -0*a - 2126, 5*x = -3*a - 281 for x.
-58
Solve 6*q - 7*k = 3*q - 27, -4*q + 48*k + 47*k = 91*k + 36 for q.
-9
Solve 0 = -3*u + 6*r + 45, -3480*u + 3476*u - 2*r + 40 = 0 for u.
11
Solve 5*l + 2143686*p - 32 = 2143688*p, 2*l = -3*p + 28 for l.
8
Solve 4*m + 4*j = 12, 266*m = 267*m - 134*j + 672 for m.
-2
Solve 6*y + 2*o + 3 = 3*y, 3*o + 65 - 60 = -5*y for y.
-1
Solve 87 = 5*y - 2*f, -5 = 5*y + 5*f - f + 184 for y.
-1
Solve -116 = 3*i - 5*t, -i + 848*t = 853*t + 32 for i.
-37
Solve g + x + 12 = -g, 7*x + 77 = x + 29 for g.
-2
Solve 5*h = -y + 31, 16*h = 1201504*y - 1201506*y + 92 for y.
6
Solve 5*v = -3*f + 10*v + 52, 45 = -23*f - 2*v for f.
-1
Solve -1104*p + 41 = -1083*p - w, 0 = 3*p + 8*w - 10*w - 82 for p.
0
Solve 1 = l + 2*u, l - 5*u - 42 = -64 + 16 for l.
-1
Solve -8*x = -3*s - 566, 3883*s - 3880*s + 2*x = 134 for s.
-2
Solve q = r - 6, -3*r + 654*q - 4133*q - 13819 = -3391 for r.
3
Solve -11*u = -3*t - 5*u, -117187*t + 117190*t = -3*u + 9 for t.
2
Solve 0 = -3*j + 10*m - 64, -4*j - 6 - 1 + 1 = 66*m - 68*m for j.
2
Solve -15613*p + 8 = 4*k - 15615*p, -44*k = -3*p - 50 for k.
1
Solve -2*t + 3 = -c + 24, 26*t + 24 - 1 + 57 = -5*c + 5 for t.
-5
Solve -5*l - 451*t = -217*t - 222*t - 18, 0 = 5*l + 2*t + 22 for l.
-6
Solve -17*q + 33*q - 85 = 13*q - 4*f, 64 = 3*q + 3*f - 20 for q.
27
Solve 80*q - 10*h + 8*h = 83*q - 11, -5*h + 47 = q for q.
-3
Solve -2*w = -7*v - 6*v + 5*v - 32, 0 = -5777*v + 5778*v + 4 for w.
0
Solve -3*d - 4*s = -15, d = -d + 4*s + 15 - 45 for d.
-3
Solve 2 = -2*q - 40*q - 0*f + 4*f + 80, 2*f + 60 = 0 for q.
-1
Solve 2*v + 0 + 0 = -3*a + 18, -a + 10*v = 122 for a.
-2
Solve -2*q = 40*x - 3*q + 445, 0*x - 9 = -x - 4*q for x.
-11
Solve -3*a = 1889*g - 1891*g - 22, -4*a - 24 = 4*g for g.
-8
Solve -2944*p + 5*s = -2945*p + 59, 2*p + 33*s = 257 + 114 for p.
4
Solve 4*s - 12 = 0, 4*z - 38*s + 108*s + 110*s = -90*s + 826 for z.
4
Solve -5*i - 380*n + 377*n + 48 = 0, 0 = i - 5*n - 4 for i.
9
Solve -2*v - 535 = -4*t - 587, 4*t = -48 for v.
2
Solve 3*h - 154 + 39 = -2*b, 1152*h + 2*b - 105 = 1151*h for h.
5
Solve -4*s - 5*f = -26, 6*s + 455 = 3*f - 438 + 911 for s.
4
Solve 29 = 3*y + 5*q, 4*y - 615*q = -316*q - 303*q - 4 + 24 for y.
-2
Solve -u + 4*c + 27 = 0, 12330*u + 6*c = 12323*u - 15 for u.
3
Solve 2*c - 3*u + 2*u - 11 + 35 = 13, -2*c + 9*u - 3 = 0 for c.
-6
Solve 0 = 5203*n - 5200*n - 3*t + 21, 0 = -3*n + 7*t - 33 for n.
-4
Solve 4*d = 8, o - d + 18 = -1 + 21 for o.
4
Solve 4*f + 1675*x + 240 = 1567*x, 0 = -3*f + 2*x + 69 for f.
21
Solve 0 = -11*b + 10*b - 2*j - 35, -2*j = -7*b + 2*j + 61 for b.
-1
Solve -t + 5*q + 22 = 0, 2*q - 4*q + 3*q = -3*t - 425 + 491 for t.
22
Solve -2*i - 5290 = 352*k, 8450*i - 8452*i + 2*k = -20 for i.
-5
Solve 127*j + 5*d = 123*j + 14, 0 = -35*j + 33*j + d for j.
1
Solve -5*h - 411261 = 4*a - 411396, -4*h = -2*a + 100 for a.
40
Solve 2*b = -v + 2 + 21, 8*v - 283 + 307 = 0 for b.
13
Solve i + 58 = 16*z - 38*z + 17*z + 2*i, z - 2*z + 4*i - 23 = 0 for z.
-11
Solve 128*i = 131*i + 2*n + 70, 188*i - 196*i + 3*n - 220 = 0 for i.
-26
Solve -5*i = 3*h - 19, 33459*h + 24 = -3*i + 33469*h for i.
2
Solve -66 = -24*h - 5*j, h - 71 = 64*j - 53*j - 15*j for h.
-1
Solve 2*a - 47367 = -g - 47362, 3*a - 9 = -3*g for g.
1
Solve -5*w = -10, -169*v + 333*v + w = 167*v - 1 for v.
1
Solve 5*q - 13 = -4*c, -q + 23 = 31*c - 87*c + 61*c + 12 for q.
1
Solve -2*v - 3221*p - 60 = -5*v - 3230*p, -5*v + 10*p = -125 for v.
23
Solve 1217*f - 1185*f + 128 = 0, -4*t = 7*f + 28 for t.
0
Solve 2*c + 258 - 242 = -2*y, 5*y + 2*c - 4 = -20 for y.
0
Solve 4080*z - 2*t = 4082*z + 22, -5*z - 13 = -2*t for z.
-5
Solve 7*w - 20 = 3*j, -322436 = -2*j + 4*w - 322448 for j.
-2
Solve -26*m - 19*m - 2*c + 50 = -40*m, -181*m + 1810 = -4*c for m.
10
Solve -20 = q + v, -5*q - 88 = 3*q - 3*q + v for q.
-17
Solve -50*h + 4*y + 1156 = 108*h + 614 - 726, -3*y = 2*h - 13 for h.
8
Solve -2*p = -0*p, 3*r - 4*p - 646888 = -p - 646879 for r.
3
Solve 5*d + 40*u = 3251 - 2991, -5*d + 3*u + 131 = 0 for d.
28
Solve 4*a = 10*r, -r + r + 3*r + 16*a - 12*a + 26 = 0 for r.
-2
Solve -71 = 3*r - 0*r - 7*j, -108 + 66 = 2*j - 52 for r.
-12
Solve 15*m - 20*m - 8*n = -39*n - 159, -4*n - 51 = -5*m for m.
7
Solve 3*p + 64 = -4*v + 2*v - 3*v, 0 = 19*v - 54 - 22 for p.
-28
Solve 0 = 6*n + 5*a + 62, 2*a - 84 + 36 = 2*n - 42 for n.
-7
Solve -345*a + 340*a + 65 = -3*f, -a - 2*f = -13 for a.
13
Solve 55*r = x + 56*r + 27, 2*x - r - 12 = 0 for x.
-5
Solve -2*t - 36 = 2*r, -18*t = -4*r + 439 - 115 for t.
-18
Solve 2*c - 5*k - 3971 = -3915, -2*c = -2*k - 50 for c.
23
Solve -2*t - 7303*d + 7308*d + 18 = 0, -2*d = -184*t + 740 for t.
4
Solve -4*h - 20 = 280635*n - 280631*n, 0 = -6*h - 4*n - 34 for h.
-7
Solve -i - 125*y + 120*y - 130 = 0, -100 = 4*y for i.
-5
Solve 5421*g + 4*c = 5429*g - c + 6*c + 37, -3*c = -5*g - 5 for g.
-4
Solve 5*h = 3*o - 104, -1966 = -2*h + 7*o - 1996 for h.
-22
Solve -7*f + 8*f = c - 26, 10*c - 237 = 13*c + 13*f + 21 for c.
5
|
{
"pile_set_name": "DM Mathematics"
}
|
f picking 3 w and 1 h when four letters picked without replacement from {h: 2, w: 18}.
32/95
Four letters picked without replacement from kkovolovlvlvvuvklv. What is prob of picking 1 k and 3 v?
7/204
Two letters picked without replacement from {j: 10, c: 4, l: 5}. Give prob of picking 1 c and 1 l.
20/171
Three letters picked without replacement from {c: 1, h: 1, e: 2, f: 2, o: 1}. What is prob of picking 1 f, 1 o, and 1 e?
4/35
What is prob of picking 1 o and 2 e when three letters picked without replacement from {o: 2, i: 2, e: 7}?
14/55
What is prob of picking 1 m, 1 k, and 2 u when four letters picked without replacement from lmkupgu?
1/35
Calculate prob of picking 2 j and 1 u when three letters picked without replacement from uuujuju.
1/7
Two letters picked without replacement from {e: 10, n: 3, x: 2}. Give prob of picking 2 x.
1/105
What is prob of picking 2 l when two letters picked without replacement from leeleel?
1/7
Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {l: 2, v: 5, s: 1, x: 1}.
5/18
What is prob of picking 2 i and 1 h when three letters picked without replacement from irvvihviiqrq?
3/110
What is prob of picking 1 t and 2 g when three letters picked without replacement from tttgttttttgggtgtgtg?
84/323
Three letters picked without replacement from qvcddbb. Give prob of picking 1 c and 2 b.
1/35
What is prob of picking 2 c and 2 z when four letters picked without replacement from zzzcczczczzczzzzzzz?
455/1938
Four letters picked without replacement from sbdbsbbbsdbbsbbsbbbb. Give prob of picking 2 d, 1 b, and 1 s.
13/969
What is prob of picking 3 e when three letters picked without replacement from {q: 5, e: 5, l: 2}?
1/22
Calculate prob of picking 1 h, 2 c, and 1 m when four letters picked without replacement from bmhgccsmgggbbb.
2/1001
Calculate prob of picking 2 y and 2 n when four letters picked without replacement from {n: 4, y: 2}.
2/5
Calculate prob of picking 3 u when three letters picked without replacement from kuzxkukkuuu.
2/33
Four letters picked without replacement from {d: 3, n: 9, o: 4}. What is prob of picking 1 o and 3 d?
1/455
Four letters picked without replacement from {d: 4, q: 15}. Give prob of picking 3 d and 1 q.
5/323
Three letters picked without replacement from {o: 3, g: 5, j: 2, b: 3, v: 3, u: 3}. Give prob of picking 1 o and 2 b.
3/323
Two letters picked without replacement from sjfffffffwijjswififf. Give prob of picking 1 f and 1 w.
2/19
Three letters picked without replacement from ssmmmnmenmsm. What is prob of picking 1 s, 1 m, and 1 n?
9/55
Calculate prob of picking 1 a and 1 q when two letters picked without replacement from oqoqqooqoaqaoaao.
1/6
Calculate prob of picking 3 d when three letters picked without replacement from {i: 2, d: 3}.
1/10
What is prob of picking 1 j, 1 r, and 1 e when three letters picked without replacement from eawaaajwaraaaararg?
1/272
Two letters picked without replacement from {k: 9, e: 2}. What is prob of picking 1 e and 1 k?
18/55
What is prob of picking 2 f when two letters picked without replacement from eefeefefueeheeffe?
5/68
What is prob of picking 3 y and 1 l when four letters picked without replacement from {w: 2, q: 3, y: 4, l: 6}?
8/455
Three letters picked without replacement from slbbotouuoss. Give prob of picking 1 o and 2 u.
3/220
Calculate prob of picking 1 u and 1 j when two letters picked without replacement from uujmuummkmmummummukm.
7/190
What is prob of picking 2 e when two letters picked without replacement from eekekeeeekkekkeieek?
55/171
What is prob of picking 1 m, 1 o, and 1 b when three letters picked without replacement from momxobbbobbbobbbbbb?
32/323
Two letters picked without replacement from nnqq. What is prob of picking 2 q?
1/6
What is prob of picking 2 q and 2 x when four letters picked without replacement from {q: 2, x: 4, n: 1, b: 4}?
1/55
Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {u: 2, i: 4}.
3/5
Calculate prob of picking 3 n when three letters picked without replacement from {p: 2, k: 6, g: 1, n: 3}.
1/220
Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {o: 10, i: 6, x: 1}.
3/68
What is prob of picking 1 s, 1 v, 1 d, and 1 b when four letters picked without replacement from {s: 1, b: 2, d: 1, v: 1, m: 4, l: 3}?
2/495
Two letters picked without replacement from nngiciilangn. Give prob of picking 1 l and 1 g.
1/33
Two letters picked without replacement from nbannbnnp. What is prob of picking 1 n and 1 p?
5/36
Calculate prob of picking 1 x, 1 o, and 2 q when four letters picked without replacement from oqkkkvokovkaoxkqavkk.
4/4845
Four letters picked without replacement from {h: 2, y: 1, n: 1, p: 1, o: 4, r: 3}. Give prob of picking 1 n and 3 r.
1/495
Four letters picked without replacement from {n: 3, w: 3, a: 7, d: 3, z: 4}. Give prob of picking 1 n, 1 z, and 2 a.
84/1615
Two letters picked without replacement from kfrfkfkkkkkffkr. Give prob of picking 2 f.
2/21
What is prob of picking 3 o when three letters picked without replacement from {e: 2, u: 13, o: 3}?
1/816
Four letters picked without replacement from {x: 4, e: 1, d: 8}. What is prob of picking 2 x and 2 d?
168/715
Four letters picked without replacement from oooovovovoo. Give prob of picking 2 v and 2 o.
14/55
Two letters picked without replacement from {s: 2, j: 6, o: 1, a: 9}. Give prob of picking 1 o and 1 j.
2/51
Four letters picked without replacement from itpkbki. Give prob of picking 1 i, 1 b, and 2 k.
2/35
What is prob of picking 1 u, 2 q, and 1 s when four letters picked without replacement from osqtuuqnquuonquq?
5/182
Four letters picked without replacement from yyuassasrssrsyr. Give prob of picking 2 a, 1 u, and 1 y.
1/455
What is prob of picking 2 g and 2 r when four letters picked without replacement from ghgllghrgd?
0
Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {v: 1, i: 2, e: 2, h: 1, b: 1}.
2/21
Two letters picked without replacement from qqqu. Give prob of picking 2 q.
1/2
Two letters picked without replacement from vmmlmlmmullvmv. Give prob of picking 1 m and 1 v.
18/91
Two letters picked without replacement from {s: 3, m: 4, t: 2}. What is prob of picking 2 t?
1/36
What is prob of picking 1 p and 3 g when four letters picked without replacement from {g: 4, p: 2}?
8/15
Two letters picked without replacement from {q: 1, p: 3}. What is prob of picking 2 p?
1/2
Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {s: 2, i: 11, v: 1}.
22/91
What is prob of picking 1 p and 1 q when two letters picked without replacement from {q: 4, w: 1, f: 2, p: 1}?
1/7
Calculate prob of picking 2 x, 1 k, and 1 h when four letters picked without replacement from hxxyhhbyxkyjhyh.
1/91
What is prob of picking 3 s when three letters picked without replacement from {e: 5, s: 1, d: 5}?
0
Four letters picked without replacement from {w: 1, g: 1, u: 2, l: 2, b: 1, n: 2}. Give prob of picking 1 l, 2 u, and 1 w.
1/63
Calculate prob of picking 2 v when two letters picked without replacement from avvjcavvvavcr.
5/26
Two letters picked without replacement from yhjpyh. Give prob of picking 1 j and 1 p.
1/15
Three letters picked without replacement from llllllllllllllx. What is prob of picking 1 x and 2 l?
1/5
Three letters picked without replacement from {i: 3, w: 3, s: 7, u: 1}. Give prob of picking 1 s and 2 i.
3/52
Two letters picked without replacement from {m: 2, r: 6}. What is prob of picking 1 r and 1 m?
3/7
What is prob of picking 1 p, 1 m, and 1 z when three letters picked without replacement from zzzfddfdmpdmffdvzmzd?
1/76
Calculate prob of picking 1 h and 2 s when three letters picked without replacement from zslzzzhzhzslhlzzhzh.
5/969
Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {k: 1, g: 1, b: 1, h: 4, z: 3, t: 5}.
4/105
What is prob of picking 1 s and 2 f when three letters picked without replacement from ssffsfs?
12/35
Calculate prob of picking 3 w when three letters picked without replacement from {w: 3}.
1
Four letters picked without replacement from {d: 1, t: 1, w: 2, p: 1, v: 1, q: 1}. Give prob of picking 2 v and 2 t.
|
{
"pile_set_name": "DM Mathematics"
}
|
ed by 1206?
586
Calculate the remainder when 3090585 is divided by 249.
246
What is the remainder when 4201123 is divided by 2100557?
9
What is the remainder when 5759 is divided by 1942?
1875
What is the remainder when 107773802 is divided by 9797616?
26
Calculate the remainder when 4349782 is divided by 16.
6
Calculate the remainder when 7371698 is divided by 3635.
3553
What is the remainder when 50528 is divided by 2490?
728
What is the remainder when 550227 is divided by 207?
21
Calculate the remainder when 1171677 is divided by 433.
412
Calculate the remainder when 327322 is divided by 323286.
4036
What is the remainder when 40623401 is divided by 6?
5
Calculate the remainder when 20512 is divided by 745.
397
What is the remainder when 7004292 is divided by 474?
468
Calculate the remainder when 72533560 is divided by 6044460.
40
What is the remainder when 480802 is divided by 160257?
31
Calculate the remainder when 84687 is divided by 16657.
1402
Calculate the remainder when 104132 is divided by 103673.
459
Calculate the remainder when 113845115 is divided by 154.
153
What is the remainder when 14127941 is divided by 5252?
61
What is the remainder when 38353 is divided by 301?
126
Calculate the remainder when 183797 is divided by 3406.
3279
Calculate the remainder when 3569723 is divided by 2399.
11
Calculate the remainder when 11243464 is divided by 1767.
43
What is the remainder when 2209406 is divided by 320?
126
What is the remainder when 689831 is divided by 126?
107
What is the remainder when 275886 is divided by 622?
340
What is the remainder when 5273524 is divided by 8731?
0
What is the remainder when 2287784 is divided by 847?
37
What is the remainder when 197866 is divided by 65942?
40
What is the remainder when 43942 is divided by 58?
36
What is the remainder when 3465659 is divided by 55?
54
What is the remainder when 164074 is divided by 54656?
106
What is the remainder when 131220 is divided by 464?
372
Calculate the remainder when 3272851 is divided by 28709.
25
What is the remainder when 201645 is divided by 50349?
249
Calculate the remainder when 47237247 is divided by 3149149.
12
What is the remainder when 5771258 is divided by 251?
15
What is the remainder when 118210084 is divided by 1014?
1006
What is the remainder when 438197 is divided by 770?
67
What is the remainder when 1154962 is divided by 1383?
157
What is the remainder when 4354266 is divided by 225?
66
What is the remainder when 570656 is divided by 80795?
5091
What is the remainder when 6180904 is divided by 901?
44
Calculate the remainder when 305378 is divided by 8711.
493
Calculate the remainder when 6270 is divided by 1670.
1260
Calculate the remainder when 3664677 is divided by 523524.
9
What is the remainder when 13539095 is divided by 112?
87
What is the remainder when 10442 is divided by 4355?
1732
What is the remainder when 15175005 is divided by 1071?
6
What is the remainder when 1205427 is divided by 54789?
69
What is the remainder when 4193248 is divided by 145?
138
What is the remainder when 537810 is divided by 133327?
4502
What is the remainder when 2906140 is divided by 87?
79
Calculate the remainder when 4103 is divided by 1296.
215
What is the remainder when 2483994 is divided by 620962?
146
Calculate the remainder when 29016 is divided by 592.
8
What is the remainder when 182722 is divided by 1178?
132
What is the remainder when 807043 is divided by 311?
309
What is the remainder when 355879 is divided by 24?
7
What is the remainder when 1198402 is divided by 11410?
352
Calculate the remainder when 1242082 is divided by 65372.
14
Calculate the remainder when 6594865 is divided by 1648716.
1
Calculate the remainder when 95316581 is divided by 628.
625
Calculate the remainder when 995772 is divided by 76597.
11
Calculate the remainder when 225155 is divided by 50.
5
What is the remainder when 975058159 is divided by 61?
60
What is the remainder when 36248885 is divided by 1726135?
50
What is the remainder when 58304370 is divided by 52?
46
What is the remainder when 418753 is divided by 139570?
43
What is the remainder when 12732591 is divided by 136?
135
Calculate the remainder when 378556 is divided by 126145.
121
Calculate the remainder when 555942 is divided by 10486.
184
What is the remainder when 17473907 is divided by 10?
7
Calculate the remainder when 2931481 is divided by 16561.
184
What is the remainder when 504667 is divided by 4806?
37
Calculate the remainder when 93610 is divided by 564.
550
What is the remainder when 69851781 is divided by 9483?
3
What is the remainder when 30979126 is divided by 4425589?
3
Calculate the remainder when 1930614 is divided by 643538.
0
What is the remainder when 51565 is divided by 24505?
2555
Calculate the remainder when 2267322 is divided by 39771.
375
Calculate the remainder when 2606598 is divided by 3822.
3816
Calculate the remainder when 460302 is divided by 7192.
14
Calculate the remainder when 79591 is divided by 15915.
16
Calculate the remainder when 15638093 is divided by 4639.
24
Calculate the remainder when 3507036 is divided by 219188.
28
What is the remainder when 56239 is divided by 12977?
4331
What is the remainder when 204624 is divided by 5382?
108
What is the remainder when 468002597 is divided by 434?
433
Calculate the remainder when 1249187 is divided by 1326.
95
What is the remainder when 80385 is divided by 7302?
63
Calculate the remainder when 374470 is divided by 93614.
14
What is the remainder when 884962 is divided by 3798?
28
Calculate the remainder when 12402 is divided by 11901.
501
Calculate the remainder when 17840924 is divided by 825.
299
Calculate the remainder when 15702581 is divided by 130.
11
What is the remainder when 367940 is divided by 3270?
1700
What is the remainder when 292543 is divided by 703?
95
What is the remainder when 14444411 is divided by 9?
5
Calculate the remainder when 8580 is divided by 3755.
1070
What is the remainder when 177332934 is divided by 724?
718
What is the remainder when 7213156 is divided by 153?
124
What is the remainder when 15338 is divided by 7520?
298
Calculate the remainder when 3542651 is divided by 7838.
7713
What is the remainder when 2932367 is divided by 59?
8
What is the remainder when 265630 is divided by 3241?
3109
What is the remainder when 2251874 is divided by 375288?
146
Calculate the remainder when 1533743 is divided by 7707.
50
Calculate the remainder when 327246 is divided by 477.
24
Calculate the remainder when 769266 is divided by 2735.
731
Calculate the remainder when 180597 is divided by 107.
88
What is the remainder when 44220314 is divided by 79?
64
What is the remainder when 18431615 is divided by 347766?
17
Calculate the remainder when 2855354 is divided by 1026.
1022
Calculate the remainder when 14425 is divided by 2536.
1745
Calculate the remainder when 15021 is divided by 1063.
139
What is the remainder when 10852 is divided by 9774?
1078
Calculate the remainder when 44413559 is divided by 45.
44
Calculate the remainder when 57336 is divided by 1192.
120
What is the remainder when 23169 is divided by 703?
673
Calculate the remainder when 67099291 is divided by 696.
19
What is the remainder when 73741620 is divided by 1061?
1059
Calculate the remainder when 19293036 is divided by 2854.
2850
Calculate the remainder when 2405096 is divided by 150.
146
Calculate the remainder when 20134964 is divided by 449.
8
Calculate the remainder when 3747100 is divided by 5050.
0
What is the remainder when 6130 is divided by 2009?
103
Calculate the remainder when 4685862 is divided by 2718.
30
Calculate the remainder when 12437 is divided by 9482.
2955
What is the remainder when 963983 is divided by 48?
47
Calculate the remainder when 58199 is divided by 1929.
329
Calculate the remainder when 225854 is divided by 75255.
89
What is the remainder when 1498070 is divided by 1716?
2
Calculate the remainder when 8808784 is divided by 281.
277
Calculate the remainder when 2059634 is divided by 18.
2
What is the remainder when 47846 is divided by 9567?
11
What is the remainder when 1459232400 is divided by 6743?
6742
Calculate the remainder when 164450857 is divided by 54816947.
16
What is the remainder when 1
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{
"pile_set_name": "DM Mathematics"
}
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120*a**3
Let r(w) = -45*w**3 + 3*w**2 + 5*w + 106. Let t(h) = h**3 - h**2 - h - 3. Let k(f) = -r(f) - 3*t(f). What is the first derivative of k(y) wrt y?
126*y**2 - 2
Suppose 2*t = 3*d - 4, -6*t + t + 32 = 3*d. What is the derivative of 42*y**t - 2*y**4 + 0*y**4 + 18*y**4 - 14 wrt y?
232*y**3
Find the first derivative of -x**4 - 28 - 11 + 663*x**3 - 664*x**3 wrt x.
-4*x**3 - 3*x**2
Let o(g) = -356*g - 367. Let k(t) = 353*t + 366. Let d(u) = -3*k(u) - 4*o(u). What is the first derivative of d(v) wrt v?
365
Let j = 10 + -4. What is the third derivative of -20*v**5 - j*v**2 + 3*v**5 - 2*v**5 wrt v?
-1140*v**2
Let n(i) be the second derivative of -2*i**5/5 - 99*i**2 + 283*i. Differentiate n(b) wrt b.
-24*b**2
Suppose 2*b + b - 108 = 0. Suppose 8 = -4*x + b. Find the third derivative of -x*c + 7*c + 4*c**2 + c**3 - 6*c**3 wrt c.
-30
Find the second derivative of -1849*z - 1873*z - 324*z**2 + 3579*z wrt z.
-648
Let d = -8 - -22. What is the derivative of 3 + 2*k**3 - 5 - d + 3*k**3 wrt k?
15*k**2
Differentiate 5 + 9*h**2 + 11*h**2 + 3*h**2 + 7*h - 20*h**2 with respect to h.
6*h + 7
What is the first derivative of 0*m + 805*m**2 + 0*m - 1 - 735*m**2 - 42 wrt m?
140*m
Let m(l) be the first derivative of -l**7/140 + 5*l**4/12 - 13*l**3/3 + 9. Let c(r) be the third derivative of m(r). Find the first derivative of c(u) wrt u.
-18*u**2
Let i(q) = -26*q**3 + 13*q**2 + 529*q - 9. Let x(l) = 7*l**3 - 3*l**2 - 132*l + 2. Let s(z) = -4*i(z) - 18*x(z). What is the second derivative of s(p) wrt p?
-132*p + 4
Let f(i) be the third derivative of -13*i**9/504 - i**5/15 - i**4/8 + 81*i**2. Find the third derivative of f(d) wrt d.
-1560*d**3
Let x be (-173)/(-5) - (-10)/25. Suppose -5*d - 2*z + 22 = 0, -2*z + 9 = -3*d + x. Find the third derivative of -7*c**3 - c**3 + d*c**2 - 4*c**2 + c**2 wrt c.
-48
Let q(g) be the third derivative of g**8/280 + g**5/8 + g**4/3 + 21*g**2. Let r(w) be the second derivative of q(w). What is the first derivative of r(p) wrt p?
72*p**2
Let p(m) be the third derivative of 137*m**5/60 - 31*m**3/2 + m**2 + 10*m. What is the derivative of p(j) wrt j?
274*j
What is the third derivative of -245*a**6 + 2*a**2 + 122*a**6 - 60 - 3*a**2 + 126*a**6 + 3*a**4 wrt a?
360*a**3 + 72*a
Suppose 3*d - 12 = -2*w - 3*w, -4*d + 5*w + 16 = 0. Suppose 2 - d = -l. What is the second derivative of -3*r**5 - 5*r + 4*r + l*r**2 - 2*r**2 wrt r?
-60*r**3
Let n(p) = -77*p**2 + 17*p - 60. Let x(k) = 13*k**2 - 3*k + 10. Let w = -40 + 74. Let b(t) = w*x(t) + 6*n(t). Find the first derivative of b(h) wrt h.
-40*h
Let a be (-1)/(56/20 - 3). Suppose -4*v + a*h - 3*h = -4, -5*v + 3*h + 3 = 0. What is the second derivative of 3*k**v + 4*k**3 + 6*k - k - 3*k**3 wrt k?
24*k
Let c(z) = 24*z + 216. Let u(k) = 4*k + 31. Let l(a) = 4*c(a) - 30*u(a). What is the derivative of l(y) wrt y?
-24
Let u(h) be the second derivative of 0*h**6 + 0*h**3 - 5/21*h**7 + 0 - 5/6*h**4 + 0*h**2 - 9*h + 0*h**5. Find the third derivative of u(d) wrt d.
-600*d**2
Let n(w) be the second derivative of -13*w**5/5 - 31*w**4/12 + w + 93. What is the third derivative of n(p) wrt p?
-312
Let o(z) = 8*z**2 - z + 75. Let d(a) = 31*a**2 - 3*a + 301. Let u(h) = -2*d(h) + 9*o(h). What is the first derivative of u(t) wrt t?
20*t - 3
Suppose 3*w + 21 = 5*p - 0, 3*p + 5*w = -1. What is the third derivative of 3*z**2 - 8*z**3 + 18*z**p - 5*z**2 wrt z?
60
Suppose 3*n - 4*d - 12 = 0, 3*d - 5 = 5*n - 25. What is the third derivative of -17*p**n - 87*p**3 + 8*p**2 + 87*p**3 wrt p?
-408*p
What is the first derivative of 412 - 243*d + 119*d + 54*d - 260*d - 200*d wrt d?
-530
Let l(w) = 5 - w**3 - 10*w**2 + 15*w - 24*w + 0*w**2. Let v be l(-9). What is the second derivative of 5*u**v - 23*u + 0*u**5 - 4*u**5 + 26*u wrt u?
20*u**3
Let d(f) = 0*f + f + f - 8 - 13*f**2. Let p(j) = 3 - j + 0 + 770*j**2 - 766*j**2. Let b(q) = 3*d(q) + 8*p(q). What is the second derivative of b(n) wrt n?
-14
Let j be (3/4)/((-2)/(-8)). Suppose 0*m - 24 = -5*z + 3*m, -j*z + 21 = -4*m. Find the first derivative of -5 - z*i - 6*i + 2*i + 2*i wrt i.
-5
Let w be 2 + (-64)/(-28) - (-2)/(-7). Find the second derivative of -13*q**4 + 16*q**w + 19*q**4 + 23*q wrt q.
264*q**2
Let a(p) be the first derivative of 125*p**6/6 + 83*p**2/2 - 95. What is the second derivative of a(u) wrt u?
2500*u**3
Let l(s) be the first derivative of -8/3*s**3 + 48*s + 0*s**2 - 11. What is the first derivative of l(c) wrt c?
-16*c
Let n(j) be the third derivative of -197*j**8/336 - 127*j**4/24 - 193*j**2. Find the second derivative of n(i) wrt i.
-3940*i**3
Let x(d) be the first derivative of 2*d**5 - 7*d**4/4 + 65*d**3/3 - 205. Find the third derivative of x(m) wrt m.
240*m - 42
Let y = -10 - -13. Let p = y - 0. Find the second derivative of 21*k - 19*k - 4*k**3 - k**p wrt k.
-30*k
Let j(o) be the third derivative of 1/12*o**6 - 5*o**2 + 0*o**3 + 0 + 1/15*o**5 + 0*o + 0*o**4. Find the third derivative of j(k) wrt k.
60
Let f(u) be the second derivative of 2*u**7/21 + 4*u**5/5 + 113*u**4/12 - u - 10. What is the third derivative of f(k) wrt k?
240*k**2 + 96
Find the third derivative of g + 6*g**4 + 567*g**3 - g - 192*g**2 - 575*g**3 wrt g.
144*g - 48
Let h be -4 - (-1 - -1 - 4). Suppose 13*j - 15*j + 6 = h. What is the derivative of 2*p**3 - 10*p**3 + 1 + 5*p**j + 0 wrt p?
-9*p**2
Let x(k) = 107*k**3 + 6*k**2 + k. Let t(l) = 106*l**3 + 7*l**2 + 4*l. Let f(a) = 5*t(a) - 6*x(a). What is the third derivative of f(q) wrt q?
-672
Let i(g) be the first derivative of -2*g**9/189 + g**6/60 - 5*g**3/3 - 23. Let c(n) be the third derivative of i(n). Find the third derivative of c(r) wrt r.
-1920*r**2
Let r(p) = p - 1. Let k(n) = 7*n**2 - n - 82. Let t(v) = -k(v) - 4*r(v). Find the first derivative of t(d) wrt d.
-14*d - 3
Let p(k) = k**2 + 2*k - 5. Let z be p(-5). Find the third derivative of 12*y**2 - 6*y**4 + 6*y - z*y**2 - 6*y wrt y.
-144*y
Let y(w) be the third derivative of 125*w**9/252 - 2*w**5/15 + 7*w**3/6 - 17*w**2. What is the third derivative of y(z) wrt z?
30000*z**3
Let b(d) be the first derivative of -d**4/2 + 9*d**3 + 585*d - 650. Differentiate b(i) with respect to i.
-6*i**2 + 54*i
Let d(z) = -4*z - 5. Let i be d(-2). What is the derivative of 214*h**3 - 6 - 8 - 235*h**i wrt h?
-63*h**2
Let l be (-3)/5 + 196/35. Differentiate l - 14 + 11*r**3 + 8 wrt r.
33*r**2
Let u(g) = 720*g**2 + 14*g - 30. Let d(b) = -720*b**2 - 12*b + 29. Let m(z) = 5*d(z) + 4*u(z). Find the second derivative of m(o) wrt o.
-1440
Let a(t) be the first derivative of 2*t**6/5 + 15*t**2/2 + 3*t + 7. Let j(l) be the first derivative of a(l). Differentiate j(g) wrt g.
48*g**3
Let f(i) = -221*i - 156. Let q(z) = 444*z + 312. Let j(d) = -13*f(d) - 6*q(d). What is the derivative of j(b) wrt b?
209
Suppose -2*l + 5*i + 8 = -5, 0 = -4*l - 2*i + 14. Find the third derivative of 142 - 142 - y**3 + 41*y**2 + 16*y**l wrt y.
384*y - 6
Let k(u) = 159*u**4 - 9*u**3 - 9*u**2 + 9*u + 72. Let z(v) = -80*v**4 + 5*v**3 + 5*v**2 - 5*v - 36. Let r(w) = -5*k(w) - 9*z(w). Differentiate r(x) wrt x.
-300*x**3
What is the third derivative of -46*m**3 + 119*m**3 + 20*m + m**4 - 46*m**3 - 2*m**2 wrt m?
24*m + 162
Differentiate -37681*p**2 + 2*p + 37681*p**2 - 14*p**4 + 129 wrt p.
-56*p**3 + 2
What is the derivative of -97 - 632*a + 226*a - 269 - 256 - 154*a wrt a?
-560
Let x = 18 - 32. Let o be (-18)/63 + (-46)/x. What is the second derivative of 4*g + g**3 - 5*g**3 + 5*g**3 - 4*g**o wrt g?
-18*g
Let v(d) be the first derivative of -517*d**5/5 + 455*d + 722. What is the first derivative of v(s) wrt s?
-2068*s**3
Let p(k) be the first derivative of k**9/28 + 3*k**5/10 - 6*k**2 - 2. Let f(v) be the second derivative of p(v). Find the third derivative of f(h) wrt h.
2160*h**3
Let a(u) = u - 3. Let t be a(17). Differentiate -7*l**2 + 50 + 6 - t wrt l.
-14*l
Suppose 3 = 4*l + 2*t - 55, 4*t - 32 = -2*l. Find the third derivative of -8*m**3 + 61*m**2 - 26*m**2 - l*m**5 + 8*m**3 wrt m.
-840*m**2
Let p(d) be the third derivative of d**4/24 - 8*d**2. Let q(n) = 2*n**2 - 5*n + 32. Let u(g) = 6*p(g) - q(g). What is the derivative of u(t) wrt t?
-4*t + 11
Let s(c) = 58*c**3 - 7*c + 114. Let g(f) = -38 + 29*f - 49*f + 22*f - 19*f**3. Let m(l) = -7*g(l) - 2*s(l). What is the derivative of m(z) wrt z?
51*z**2
Let c(h) = 25*h**4 - 15*h. Let
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{
"pile_set_name": "DM Mathematics"
}
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1 in decreasing order.
1, l, -5, -19
Let k be (124/(-4) + 38 + (-44)/6)*(1 + 98). Let w = 6 - 4. Sort k, -3, w in decreasing order.
w, -3, k
Suppose -2*j + 29 = -29. Let u = 230 + -198. Suppose u*r - 6 = j*r. Sort 0, r, 6 in descending order.
6, r, 0
Let g be ((-188)/(-28) - (19 - 12))/(1/(-7)). Sort -12, g, 12, -2 in ascending order.
-12, -2, g, 12
Let s = -59 - -59.09. Let m = 52 - 32. Let v = -19 + m. Sort 2/7, s, v, -3/7 in ascending order.
-3/7, s, 2/7, v
Let r(k) = k**3 - 4*k**2 - 10*k + 8. Let b be r(7). Suppose 23*i = 6*i - b. Let g = -58 + 60. Put -4, i, 31, g in ascending order.
i, -4, g, 31
Let i = 141.06 + -141.46. Sort i, 0.3, 5.49 in ascending order.
i, 0.3, 5.49
Suppose 26 = -2*y - 3*g, -18*g + 21*g = -18. Sort y, 2, 15 in decreasing order.
15, 2, y
Let n = -10179 - -20351/2. Put 13, 1, n, 3 in ascending order.
n, 1, 3, 13
Suppose 4*k - 1 - 7 = 0. Suppose 3*d = 5*r - 36 - 162, -d = -r + 40. Suppose -5*i - 9 = -r. Sort i, 1, -4, k in decreasing order.
i, k, 1, -4
Suppose -5*u + 3*z + 20 - 171 = 0, 4*u + 119 = 3*z. Let a = -15 - u. Let o be 39/(-15) + 3 + a/(-5). Sort 4, -5, o in decreasing order.
4, o, -5
Let f = -0.02 - -0.1. Let l = -85358 + 85362. Sort l, -4/3, f.
-4/3, f, l
Suppose -5*y - 14 = 1. Let a(x) = -980*x + 27444. Let m be a(28). Put m, y, 9 in ascending order.
y, m, 9
Suppose -4*g - 3*c = 24, -2*g - 2*c = 6 + 4. Let r = g + 13. Let q be (-21)/(-15) + (-3)/(-5). Sort r, 0, q.
0, q, r
Let z = 119.46 - 121.46. Put -3, -1/8, z in ascending order.
-3, z, -1/8
Let f = -10.7 + 10.504. Let d = f - -0.016. Put -4, -1/2, d in decreasing order.
d, -1/2, -4
Suppose -3*k - 15 = f, k + 16 = -5*f - 3. Suppose -3*q = -4*q + 32. Put f, -5, q in descending order.
q, f, -5
Suppose -4*g + 553 - 82 = -5*r, 4*g + 2*r = 506. Put 6, g, 1 in decreasing order.
g, 6, 1
Let a = -9071 - -9067. Sort -1, a, -92, 1, 5 in ascending order.
-92, a, -1, 1, 5
Let w = 225/8 + -1287/56. Let q = -993.4 - -993. Sort q, -3, 0.1, w in decreasing order.
w, 0.1, q, -3
Let m = 3627 + -3626. Sort m, 2, -2, -8 in decreasing order.
2, m, -2, -8
Let u = -6 - -3. Let t = u + 0. Let h(r) = r**3 + 2*r**2 - 4. Let l be h(-2). Sort -2, l, t, 4 in decreasing order.
4, -2, t, l
Let r(l) = l**2 + 13*l - 90. Let u be r(-18). Suppose u = -72*t + 60*t + 36. Put -4, 11, t in descending order.
11, t, -4
Let h be (-81 - (8/2)/2)*(-76 + 77). Sort -6, 3, -5, h in descending order.
3, -5, -6, h
Let i be (-6)/(((-64)/80)/((-4)/(-10))). Let z(g) = -5*g + 15. Let w be z(i). Put w, -0.5, -2/15, 4 in increasing order.
-0.5, -2/15, w, 4
Let b = -3.746 + 5.746. Let h = 0.4 + -1.2. Sort h, -5, b.
-5, h, b
Let m = 0.1 - -0.1. Let p = 117 - 117.248. Let x = -0.548 - p. Sort x, -35, m in increasing order.
-35, x, m
Let c be (-4 - (-3 + 1))/(34/68). Sort 4, c, -365.
-365, c, 4
Suppose -615*z + 627*z = -36. Put -2, z, 38 in decreasing order.
38, -2, z
Let n = -3979.3 - -3979. Sort 0.4, -1, n, 2/19, 9 in decreasing order.
9, 0.4, 2/19, n, -1
Let h(m) = m**3 - 22*m**2 + 91*m - 1021. Let y be h(20). Sort -39, 0, -3, 3, y.
-39, -3, y, 0, 3
Let d = -674 + 752. Sort -2, 2, d, 0 in ascending order.
-2, 0, 2, d
Let n = 10779.1 - 10779. Let g be (-51)/(-34)*4/45. Let k = -2 + -3. Sort k, n, g, -1/9.
k, -1/9, n, g
Let q = -3422 + 3440. Put q, -97, -1 in decreasing order.
q, -1, -97
Let r = 4125 - 4124. Sort r, -4, 3, 14 in decreasing order.
14, 3, r, -4
Suppose 59 = -y + p, 2*y - 3*p + 1 + 116 = 0. Sort 0, 5, y in increasing order.
y, 0, 5
Let g = -100.74 - -155.74. Sort g, -1, -4 in increasing order.
-4, -1, g
Let r(a) = -a**3 + 7*a**2 - 18*a + 41. Let z be r(5). Put -3, -31, 7, z in decreasing order.
7, z, -3, -31
Let y = 538778.4 - 538778. Let b be (-1)/(-3) + 0 + 1. Sort b, -1/9, -2, y in increasing order.
-2, -1/9, y, b
Suppose -19 = -3*j - 10. Suppose 3*d + 5*b = 76, 0*d - 82 = -j*d + b. Sort -4, -3, d.
-4, -3, d
Let m = 5244 - 2904. Let u be (m/480)/(3/2). Sort u, -7/3, -0.1, -4 in decreasing order.
u, -0.1, -7/3, -4
Let n be -7*-4*((77/14)/11)/14. Sort n, 28, -73 in ascending order.
-73, n, 28
Suppose 3*y - 21 = -24. Let c(p) = -1. Let u(g) = -g - 2. Let a(r) = 5*c(r) - u(r). Let x be a(0). Sort y, 8, x, 3 in descending order.
8, 3, y, x
Let o be (-1 - -2) + (-2)/2. Suppose -2*z = -11*z + 1278. Suppose 150 = 4*k + z. Put o, -1, k, 1 in decreasing order.
k, 1, o, -1
Suppose 3*j = -9 + 3. Let s(i) = i**2 - 40*i - 199. Let f be s(-6). Suppose -f*q = -90*q + 52. Sort j, -4, q in descending order.
q, j, -4
Suppose 6*q + 187 = 7*q + d, 371 = 2*q + d. Sort q, 1, -5 in ascending order.
-5, 1, q
Let v(h) = -h**2 - 31*h + 70. Let a be v(-33). Suppose -k + 5 = 2*n, -a*n + 30 = -5*k - 15. Sort 4, 61, n in increasing order.
4, n, 61
Let i(t) = -t + 1. Let w be i(-4). Suppose -278*s = 167*s - 92*s + 1412. Let o be (3 + -2)/((-1)/(-2)). Put o, -2, s, w in descending order.
w, o, -2, s
Let g(k) = -8 + 399*k**2 + 1 - 389*k**2 + k - k**3. Let t be g(10). Sort 1, t, -175 in increasing order.
-175, 1, t
Let t(q) = 26*q + 361. Let d be t(-14). Put -6, 0, -2, d in ascending order.
-6, d, -2, 0
Let l be (-20 + -1)*(-32)/112. Let j be (-24)/(-2) - (2 - l). Suppose -21*g + 2*g = 38. Sort g, j, 5, -5 in ascending order.
-5, g, 5, j
Let b = -20077 - -20076.6. Put b, -1, -0.1, 1/122, 1 in descending order.
1, 1/122, -0.1, b, -1
Suppose 4*x = h - 4*h + 31, -1 = -4*x + 3*h. Let v(g) = -g**2 - 3*g - 4. Let m be v(-3). Sort x, m, -28 in ascending order.
-28, m, x
Suppose 2*j - 4 = -2*z, 4*z - 3*j + 19 + 1 = 0. Let r = 143 - 140. Suppose -8 = -r*k - q, -2*q - 3 - 3 = -5*k. Sort 6, z, k, 0 in ascending order.
z, 0, k, 6
Let u = -23 - -28. Suppose 4*k = -3*r - u, -k - 10 = 3*r - 2*k. Let o be (-3)/(-12)*(2 - -8)*2. Sort 4, r, -2, o in decreasing order.
o, 4, -2, r
Let n = -33.2 + 33. Suppose -8*y - 25 = 7. Put 5/7, 0.9, n, y in increasing order.
y, n, 5/7, 0.9
Let l = -5527 - -5542. Put 3, 4, l, 2, -3 in descending order.
l, 4, 3, 2, -3
Let t be (-276)/(-1395) - ((-532)/210)/(-19). Let p = 0.6 - 0.3. Put p, t, -2, 1 in decreasing order.
1, p, t, -2
Let r be (-102)/(-221) - (28/(-52) - -5). Put 0.4, 4, -8, 0, r in decreasing order.
4, 0.4, 0, r, -8
Suppose -471 + 109 = -7*b + 4*q, -191 = -4*b - 3*q. Sort 0, b, -1, 6 in decreasing order.
b, 6, 0, -1
Let r = 1621.5 - 1626.5. Sort 3, r, 0.129, 5 in decreasing order.
5, 3, 0.129, r
Let k = -210 - -455. Let f = k - 246. Sort -2/5, -2, f in decreasing order.
-2/5, f, -2
Let o = 694503.8042 + -694574. Let s = 0.0042 - o. Let p = s + -70. Sort 1/6, 2/9, p in increasing order.
1/6, p, 2/9
Let x = 118 - 114. Suppose 4*l = -4*f + 8, -3*l - 6*f + 16 = -f. Suppose 4*q - a = 18, 0 = -4*q - 2*a - 1 + 25. Sort q, l, x in decreasing order.
q, x, l
Let r = 97 + -65. Let u = r + -28. Let o = -179.8 + 180. Sort 2/5, o, u, -1/2 in descending order.
u, 2/5, o, -1/2
Suppose 5*b = c - 22, c = -b - b - 13. Suppose -81*r - 3480 = -41*r. Put c, 3, r in descending order.
3, c, r
Let m(x) = x + 2. Let g be m(-7). Let z(y) be the third derivative of -y**4/24 - 2*y**3/3 + 82*y**2. Let u be z(-6). Put 4, g, u, -2 in decreasing order.
4, u, -2, g
Suppose -3 = 3*p - 2*z, -21 = 3*p + 5*z - 4*z. Sort -41, 4, 1, p, 0 in ascending order.
-41, p, 0, 1, 4
Suppose 4*l + 3*j + 9 = 0, 7 + 0 = -2*l + j. Let i(h) = -3*h + 25. Let v be i(18). Let r = v + 32. Put r, l, 1, -2 in decreasing order.
r, 1, -2, l
Let c be (3/2)/(-19 + 779/38). Let z = -59 - -78. Put c, z, -0.4 in ascending order.
-0.4, c, z
Let i = 157/12 - 53/4. Put 8, 1, 0.4, i, 13 in ascending order.
i, 0.4, 1, 8, 13
Let z = 20587 + -20595. Sort -3, z, -4, 2, -10 in descending order.
2, -3, -4, z, -10
Let p be (-4)/(-6)*(2*(-6)/8 + 0). Sort 0, -2, 2, p, -5 in decreasing order.
2, 0, p, -2, -5
Let u = 5710 + -5709. Put -2/243, 3, u, -2 in descending order.
3, u, -2/243, -2
Let y = -3808 + 3810. Sort y, -4, 1, 114, 11 in descending order.
114, 11, y, 1, -4
Let k(x) = -27*x - 2094. Let z be k(-78). Put -5, z, -2/15, -2/17 in decreasing order.
z, -2/17, -2/15, -5
Let w be (-16)/(-20) - 192/(-60). Sort 3, 70.1, w.
3, w, 70.1
Let d be (57/(-9))/((-3)/(-9)). Let l = -60480 - -60485. Sort d, l, 4 in decreasing order.
l, 4, d
Suppose 4*c + 31*z = 35*z - 16, -2*z = 2*c + 8. Sort -5, -94, 4, c.
-94, -5, c, 4
Suppose -779*o + 782*o - 6 = 0. Sort -38, o, -7.
-38, -7, o
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
t(h) = 4*h + 1. Let z(u) = 8*u + 3. Let n(y) = -5*t(y) + 2*z(y). Let i(c) = -c + 6. Let f be i(8). Determine n(f).
9
Let t(q) be the first derivative of -q**4/2 - q**2 - q + 1. Suppose 3 = -j + 2. Calculate t(j).
3
Let q be 1*(5 - 2)/(-3). Let c(o) = -13*o**2 - 1. What is c(q)?
-14
Let o(q) be the first derivative of q**4/4 + 5*q**3/3 - 7*q**2/2 - 4*q + 10. What is o(-6)?
2
Let m(v) = v - 3. Let c be m(-4). Let s(k) = k**2 + 8*k + 8. Determine s(c).
1
Let t = 7 + -10. Let n(u) = u**3 + 1. Let w be n(1). Let i(z) = -2*z - w + 0*z - 1. Calculate i(t).
3
Let m be 18/(-4) - 1/(-2). Let g(n) be the second derivative of n**4/24 + 5*n**3/6 + n**2 - 3*n. Let d(h) be the first derivative of g(h). Determine d(m).
1
Let q(m) be the second derivative of m**6/180 + m**5/120 - m**4/3 - m. Let y(v) be the third derivative of q(v). Let t be 1 - (-1)/(1/(-2)). What is y(t)?
-3
Let v(h) = -h. Let w(x) be the second derivative of -x**4/3 + 3*x. Let p be w(1). Give v(p).
4
Let h = 4 + -2. Let y be 0*1/3 - -4. Let r(d) = 2 - 3*d - 2*d + y*d. Calculate r(h).
0
Let w(r) = r - 2 - 4 + 10. Suppose 2*i + 6 = 2*y, -2*y = -4*i + i - 9. What is w(y)?
4
Let g(b) = 2*b**2 - 5*b + 2. Let d(x) = x**2 - 10*x - 8. Let z be d(11). What is g(z)?
5
Let n(q) = 9*q**2 + 12*q + 17. Let m(g) = 5*g**2 + 6*g + 9. Let y(f) = 7*m(f) - 4*n(f). Let v be y(-4). Let i(b) = -b**3 + 2*b**2 + 3*b - 1. What is i(v)?
-1
Let t(d) = 5*d**3 + 6*d + 4. Let w(q) = 4*q**3 - q**2 + 5*q + 3. Let r(m) = 3*t(m) - 4*w(m). Let p be -3*1/(-3 - -2). Suppose p*s + 0*s = 9. Give r(s).
3
Let p(b) = 2*b - 4. Let g(s) = 0 - 3*s - 17*s + 0 - 1. Let h be g(1). Let q be (-70)/h + (-1)/3. Calculate p(q).
2
Let u(g) = -2*g + 6 - g**2 + 3*g**2 - 4. Suppose 7*b = 3*b + 8. Suppose 0 = -b*l - 3*l + 10. What is u(l)?
6
Let w = -48 + 42. Let q(r) = -r**3 - 5*r**2 + 6*r - 5. What is q(w)?
-5
Let n(o) = o**2 - 16. Let f(q) = q**2 - 9*q + 20. Let d be f(5). What is n(d)?
-16
Let g(v) = -5*v**2 - 1. Let m be 30 + -1 + (-1 - 1). Suppose -4*w - f + 16 = 0, 2*w - m = -5*f - 1. Suppose 0 = 3*a + w. Calculate g(a).
-6
Let t(p) = p**2 - 8*p + 4. Let b(u) = 3*u + 6. Let c be b(5). Suppose -5*m + c = -2*m. What is t(m)?
-3
Let f(g) = 8*g**2 + 1. Suppose -y + h = 0, y + 0 - 1 = 2*h. Determine f(y).
9
Let t(h) = h**3 + h**2 - 1. Let g(m) = 6*m**3 + m**2 - m - 2. Let w = 2 + -2. Suppose -2 = -w*r + r. Let n(i) = r*t(i) + g(i). What is n(-1)?
-4
Let u(m) = 3*m**3 - 38*m**2 - 4*m + 3*m - 30*m**2 + 67*m**2. What is u(2)?
18
Let q(p) = 4*p + 8. Let u be q(-6). Let k = 11 + u. Let y(z) be the second derivative of -z**3/6 + 2*z**2 + z. Determine y(k).
9
Suppose -21 = -3*g - 3*a, 7 = g - 0*g - a. Let w(u) = -u + 7. Let q be w(g). Let p(t) = -t**3 - t - 1. Calculate p(q).
-1
Let v be 8*-1*(-2)/4. Let r(n) = -3*n**3 + 19*n**2 - 10*n + 16. Let o(h) = h**3 - 6*h**2 + 3*h - 5. Let y(d) = 7*o(d) + 2*r(d). Determine y(v).
1
Let c = 6 - 10. Let d = c + 5. Let s = d - 3. Let l(k) = -k - 4. Determine l(s).
-2
Let g(u) = -u + 0*u - 8 + 12. Let t(x) = x**2 - x + 8*x + 1 + 6. Let l be t(-5). Determine g(l).
7
Let j(a) be the first derivative of 5*a**2/2 - a - 1. Let s be 3 + 0 + -1 - -1. Suppose 5*l = -s*p - 7, -1 = 5*p + 2*l - 2. Calculate j(p).
4
Suppose -5*q = 13 + 12. Let t(x) = -x**2 - 5*x - 2. Calculate t(q).
-2
Let x(j) = j**2 + 2*j - 12. Let n be x(5). Let t(w) = -2*w - 22*w**3 - w**2 + w + n*w**3. Suppose 3 - 11 = -4*p. Calculate t(p).
2
Let l be (-2 - 6/(-9))*21/14. Let b(z) = -2*z**3 - z**2 + z - 2. Give b(l).
8
Suppose -2*f = -7*f + 10. Suppose f*d + d - 12 = 0. Let i(z) be the third derivative of z**6/120 - z**5/20 - 5*z**4/24 + z**3/3 + z**2. What is i(d)?
-2
Let g(h) = -h - 3. Let l be g(-6). Let s(q) = q + 1. Let k(v) = 12*v + 16. Let b(w) = -2*k(w) + 28*s(w). Determine b(l).
8
Let d(m) be the first derivative of m**2/2 + 4*m - 43. Calculate d(4).
8
Let h(w) = w**3 + 4*w - 5*w**2 + 0 + 0 - 1. Let i(k) = -k**3 - 7*k**2 - 8*k - 8. Let s be i(-6). Calculate h(s).
-1
Suppose -y = -3*b + 18, 4*y + 1 + 11 = 2*b. Suppose -3*n - 3*h + 24 = 0, h + 1 = b. Let k(z) = 3*z**3 - z**n + 0 - 1 - z. Determine k(-1).
-2
Let s(l) be the third derivative of l**8/20160 - l**7/5040 - l**6/144 + l**5/30 - 9*l**2. Let m(v) be the third derivative of s(v). Give m(0).
-5
Let q(v) = -4*v - 5. Let f be 10/6*(-5 - -2). What is q(f)?
15
Let c = -320 + 19201/60. Let v(m) be the third derivative of 0*m**3 + 0*m + 1/24*m**6 + c*m**5 + 0*m**4 + 0 - 2*m**2. What is v(-1)?
-4
Suppose l = 2*l - 1. Suppose 2*a + 5*t + l = -0, -a + 7 = -5*t. Let b(v) = 8 - 4*v - v**2 + v + 0*v - a*v. Determine b(-6).
2
Let h(n) = n**3 - 5*n**2 + 4*n + 5. Suppose 2*z - 12 = -2*z. Let l(u) = -2*u - 4*u**2 + 1 + 3*u**2 + 2*u**2. Let i be l(z). Determine h(i).
5
Suppose -t + 4*m = 9, -4*t - 3*m + m = 0. Let p(r) = -r**3 - r**2 + r + 1. Give p(t).
0
Let c be (-2)/4*(-3 + 7). Let n be c*1/2*2. Let i(o) = -o**3 - 4*o**2 - 4*o - 2. Calculate i(n).
-2
Let i be (-6)/1 + -1 + -1. Let n = i - -5. Let s(g) = -g**3 - g**2 + g + 1. Let a(d) = -5*d**3 - 7*d**2 + 6*d + 3. Let f(t) = a(t) - 4*s(t). Determine f(n).
-7
Let a(c) = -3*c**3 + c**2 - 9*c - 12. Let r(o) = o**3 - o**2 + 5*o + 6. Let h(f) = -2*a(f) - 5*r(f). What is h(-4)?
6
Let f be 2*(-1)/(-2) + 2. Suppose 2*y = -f + 15. Let s(d) = -d**3 + 7*d**2 - 5*d - 8. What is s(y)?
-2
Let h(n) = 3*n**3 + 8*n**2 - 5*n + 6. Let m(o) = o**2 - o + 1. Let g(d) = -h(d) + 6*m(d). Determine g(-1).
2
Let m(a) = -a**2 + 7*a + 1. Suppose -5*d = -2*d - 6. Let t(g) = g**2 - 6*g - 2. Let v(f) = d*m(f) + 3*t(f). Let i be -1 + 9 - (-1 - -4). Give v(i).
1
Let a(h) = -30*h - 1 + 21*h + 10*h. Let c = 7 + -2. Suppose -2*m - 3*u - 2 = -c, 0 = 5*m - 4*u - 19. Determine a(m).
2
Suppose -2 = -4*h - 2*t + t, -2*t = -3*h - 4. Suppose 17 = -5*l + 27. Let k(z) = -2*z + 0*z**3 + 2 + z**3 + h*z - 3 - 3*z**l. Give k(2).
-9
Let y(m) be the third derivative of -m**5/60 + m**4/24 - m**3/3 + 35*m**2. What is y(1)?
-2
Let l(r) be the second derivative of -r**3/6 + r**2/2 + r. Let g = -6 - -6. Suppose 20 + g = 4*m. Calculate l(m).
-4
Let w(f) be the first derivative of f**4/4 - 5*f**3/3 + 3*f**2/2 + 5*f - 19. Give w(5).
20
Let k be 3*12/9 + -4. Let m(r) = -r - 11. Calculate m(k).
-11
Let k(d) = d**3 + 4*d**2 - 5*d. Suppose 11 = g + 4. Suppose -4*o = g + 13. What is k(o)?
0
Let u(h) = -5*h. Let g be u(-4). Suppose -g = -3*s - 5. Let c(d) = -d**2 + 5*d + 2. What is c(s)?
2
Let o(p) = 5 - 16*p + p**2 - 5 + 7*p + 8. Give o(7).
-6
Let j(r) be the third derivative of -r**4/12 - r**3/3 - 8*r**2. Determine j(5).
-12
Let l(q) = q**3 - q + 4. Let f = -2 + 7. Suppose f*b = 7*b. Calculate l(b).
4
Let j = 22 + -24. Let h(o) = 2*o**2 + 3*o + 3. Give h(j).
5
Let c be ((-18)/8)/(5/20). Let a = c - -15. Let u(s) = s**3 - 5*s**2 - 5*s - 2. Give u(a).
4
Suppose 6*j - 2*j - 4 = 0. Let b(q) = -4*q**2 + 5*q + 7. Let a(z) = 2*z**2 - 3*z - 4. Let f(n) = 5*a(n) + 3*b(n). Give f(j).
-1
Let c(h) = -5*h**3 + 7 + 1 - 4*h**2 + 2*h**2 - 3 - h. Let v(l) = -l**3 - l**2 + 1. Let x(k) = c(k) - 6*v(k). Give x(-4).
3
Let l = -3 + 2. Let j(f) = f**2 - 1 + 1 - 4*f**3. What is j(l)?
5
Let c(s) = -s**3 + 16*s**2 + 14*s - 9. Let r(w) = -2*w**3 + 31*w**2 + 28*w - 17. Let a(q) = 5*c(q) - 3*r(q). Calculate a(14).
6
Let b(o) = o + 6 - 3 - 1. Determine b(-7).
-5
Let b(o) be the third derivative of o**8/6720 + o**7/2520 - o**6/240 + o**5/60 - o**4/8 + 4*o**2. Let l(r) be the second derivative of b(r). Calculate l(2).
8
Let j(c) = 2*c + 6. Let y = 0 - -4. Let l be 16/6*(-6)/y. Let g(k) = k**3 + 5*k**2 + 4*k - 5. Let m be g(l). What is j(m)?
-4
Let v(l) = l**3 + 2*l**2 + 2*l + 2. Let q(b) = -5*b**3 - 11*b**2 - 11*b - 9. Let r(o) = -2*q(o) - 11*v(o). What is r(0)?
-4
Suppose 0*s - 2*s - 5*o + 3 = 0, -4*o = 2*s - 4. Let y be (8/(-3))/(s/12). Let l = 13 + y. Let d(i) = 2*i - 5. What is d(l)?
5
Let h be (-3)/2*(-4)/3. Let a(i) be the second derivative of i**4/12 - 2*i**3/3 + i**2 - 2*i. Let u be a(h). Let d(y) = 2*y + 2. Calculate d(u).
-2
Let p(u) = u**3 - u**2 + 1. Let i(r) = 7*r**3 - 9*r**2 + r + 6. Let n(z) = i(z) - 6*p(z). What is n(2)?
-2
Let w(g) = -g**2 - g - 3. Suppose 5*l + 48 = l. Let t = 9 + l. Calculate w(t).
-9
Suppose -2*v + 26 = m, 1 = -v + 2*m + m. Let n = v + -17. Let o(g) = g**2 + 4*g - 5. Give o(n).
7
Let h(a) = -a**2 - 6*a + 4. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest 100.
600
Let x = 5.03 - 5. Let b = 0.63 - x. Let i = 0.5968 - b. What is i rounded to 3 dps?
-0.003
Let g = -1989538 - -1989538.799979. Let z = -0.8 + g. Round z to five decimal places.
-0.00002
Suppose l = u + 3170001, 6340003 = 2*l + 2*u - 5*u. What is l rounded to the nearest one million?
3000000
Let g = 43 - 43.00000063. What is g rounded to 7 decimal places?
-0.0000006
Let i(j) = 16*j**3 - 14*j**2 - 10*j - 40. Let l be i(-16). Round l to the nearest ten thousand.
-70000
Suppose -k = 4*k + 240. Round k to the nearest ten.
-50
Let t = 358412 - 28412. What is t rounded to the nearest 100000?
300000
Let a = -7.11 + 0.01. Let b = a - -8.31. What is b rounded to one dp?
1.2
Let y be (-4)/(-22) + 140968/44. Suppose j = 5*q - y, -q - j + 1276 = q. What is q rounded to the nearest 100?
600
Let y = 23 - -35. Let a = -36 + y. Suppose -2*i + 31 = 3*t, -i = -4*t - a - 10. Round i to the nearest 100.
0
Let j = -260 + 288.4. Let n = 25 - j. What is n rounded to the nearest integer?
-3
Let y(o) = -3*o**2 + o + 1. Let p be y(2). Let i = p - -10. What is i rounded to the nearest integer?
1
Suppose -19109 = 8*x + 9371. Round x to the nearest 1000.
-4000
Let q = -18 + 18.0102. What is q rounded to 3 decimal places?
0.01
Let f = -127072390.8243542 + 127072420. Let g = 28.78564 - f. Let x = g + 0.39. Round x to 6 decimal places.
-0.000006
Suppose -3*s - s = -4*z - 53668744, -3*s = -4*z - 40251557. Suppose s = -j + 917189. Let t be (-4)/10 + j/5. What is t rounded to the nearest one million?
-3000000
Let t(s) = -5 - 2 + 8*s - s**3 - 2*s**2 - s**2. Let a be t(-8). Suppose 331 = -c - a. What is c rounded to the nearest 100?
-600
Let j = -23.89 + 24. Let f = j + 8.89. Let i = f - 9.048. Round i to 2 decimal places.
-0.05
Let y = 45.4 - 5.4. Let b = 40.29 - y. Let i = -0.3036 + b. What is i rounded to three dps?
-0.014
Let s = -45.5 - -43.832. Let k = 1.6 + s. What is k rounded to two decimal places?
-0.07
Let s be (-2)/(-5) + 36/(-15). Let o(y) = 249*y**3 - 3*y**2 - y + 2. Let k be o(s). What is k rounded to the nearest ten thousand?
0
Let o(n) = -n**3 - n**2 + 74899998. Let u be o(0). Let c be (-8)/28 - u/7. What is c rounded to the nearest one million?
-11000000
Let a = 0 + 0. Let w(d) = 15*d**2 + 2*d + 4799987. Let r(q) = 7*q**2 + q + 2399994. Let y(u) = 13*r(u) - 6*w(u). Let x be y(a). Round x to the nearest 1000000.
2000000
Let g = 25921.04 - 26896. Let q = g + 972.95965. Let w = 2 + q. Round w to four decimal places.
-0.0004
Let x = -1964 + 1893.09. Let q = 63.90968 + x. Let t = q + 7. What is t rounded to 4 dps?
-0.0003
Let g = -94.792 - -94. Let u = 0.8 + g. Round u to 2 dps.
0.01
Let i = -50.4 + 42. Let c = i - -9.53. What is c rounded to 1 decimal place?
1.1
Let x = -11.5 - 59.5. Let i = x - 20. Let r = -90.999926 - i. Round r to five dps.
0.00007
Let u(b) = 4386*b**2 + b + 1. Let q be u(-1). Let n(i) = -i - q*i**2 + i - 3114*i**2. Let w be n(-4). Round w to the nearest 10000.
-120000
Let d = -5.3 - -35.3. Let s = d + -48. Let z = s + 17.972. What is z rounded to two decimal places?
-0.03
Let d = -9.07 + 9. Let y = -0.085 - d. Round y to two dps.
-0.02
Let q = 12 + -33. Let g = q + 12. Let l = 9.00000026 + g. What is l rounded to 7 decimal places?
0.0000003
Let p = 61.9999969 + -62. What is p rounded to six decimal places?
-0.000003
Let v = 44 + -27. Let m = v - 16.99918. Round m to four dps.
0.0008
Let n = 4 + 1. Let i = n - 4. Let y = -1.0000038 + i. Round y to six dps.
-0.000004
Let j = -17 - -16.99928. Round j to 4 dps.
-0.0007
Let d(j) = -23*j + 12. Let y be d(6). Round y to the nearest ten.
-130
Let m = -12332765.09999824 + 12332766. Let q = m + -0.9. What is q rounded to seven dps?
0.0000018
Let d = -5.4 - -3.3. Let q = d - -16.1. Let j = q - 14.057. Round j to two decimal places.
-0.06
Suppose 0 = -2*n + 5*o - 4*o - 93997, 0 = 5*n + 2*o + 235006. What is n rounded to the nearest ten thousand?
-50000
Let a = -1 - -1.001. Round a to 4 dps.
0.001
Let x = 25.1 - 25.09883. What is x rounded to three decimal places?
0.001
Let r = 0.002033 - 0.002. Round r to 5 dps.
0.00003
Let p be 2 - 4 - (0 - 4). Suppose p*g + 19 + 10 = -i, -70 = 5*g + 2*i. Round g to the nearest 10.
-10
Suppose 5*r = -4*w + 2074, 2*r - r + 5*w = 398. Suppose 2 = -0*g + g, 3*n - r = -2*g. What is n rounded to the nearest ten?
140
Let v = 250.43 + -250.3690059. Let b = 0.09 + -0.029. Let z = b - v. What is z rounded to six decimal places?
0.000006
Let b = -0.2 + 0.3. Let r = 0.125 - b. What is r rounded to two decimal places?
0.03
Let b = -9.77 + -0.23. Let d = -9.995 - b. Round d to 3 dps.
0.005
Let u = -0.1155 - -0.21553. Let k = u - 0.1. What is k rounded to five decimal places?
0.00003
Let j be 14/(-35) - (-174)/10. Let v be (j + -1 - 1) + -3. Suppose 0*f = 5*g + 5*f - 290015, v = 4*f. Round g to the nearest 10000.
60000
Let g = -2 - -1.92. Let y = g + -0.12. Let x = 0.20000006 + y. What is x rounded to 7 decimal places?
0.0000001
Let s be ((-16)/(-12))/((-2)/(-6)). Let n = 3 + s. Let g be n/(-2)*(-24 - 0). Round g to the nearest ten.
80
Let m = -0.164 + -21.796. Let p = 21 + m. Let w = p + 0.95999953. What is w rounded to seven decimal places?
-0.0000005
Let i = -10 - -10.5. Let q = i + -0.438. Round q to two dps.
0.06
Let i = -2331.1313 - -2331. Let c = 28.13 - 28. Let z = c + i. Round z to 3 dps.
-0.001
Let y = -237499674149.3499932 - -237499718345. Let n = y + -44196. Let w = -0.35 - n. What is w rounded to six dps?
-0.000007
Let o = -1.899984 - -1.9. What is o rounded to six dps?
0.000016
Let z(m) = -2*m**3 - m**2 - 7. Let b be z(-4). Round b to the nearest ten.
110
Let o = 0 + -2. Let a = o - -3. Let j = -0.99999964 + a. Round j to seven decimal places.
0.0000004
Suppose -508609 = -2*d + 5*n, 2*d + 0*d = -3*n + 508569. Suppose -d - 445708 = -s. What is s rounded to the nearest one hundred thousand?
700000
Let r be 6/(-12) - (-2399997)/(-6). Round r to the nearest one million.
0
Let q = -15.99892 + 16. Round q to 4 decimal places.
0.0011
Let b(r) = 7749*r + 4. Let z be ((-4)/5)/(6/(-30)). Let s be b(z). Round s to the nearest ten thousand.
30000
Suppose 4*n - 5*t = 25, -n - 4*t = -2*n + 9. Let w(v) = 7*v + 5 + 5 - 3*v + 119*v**2 - 5. Let r be w(n). What is r rounded to the nearest one thousand?
3000
Suppose -3*t + i + 422 + 1321 = 0, -1162 = -2*t + 3*i. Suppose -166 + t = 5*g. Round g to the nearest ten.
80
Suppose -17028043 + 5348075 = -4*i. Suppose 4*t + i = 4*b, 2*t - 1459990 = 4*t - 5*b. Round t to the nearest 100000.
-700000
Let r = -2.5 + 1.8. Let q = r - -0.4. Let a = -0.29999964 - q. Round a to 7 dps.
0.0000004
Let i = -15.0003 - -15. Round i to 3 dps.
0
Let z(t) = -599*t + 2. Let b = -7 + 5. Let f be (1/((-2)/(-8)))/b. Let u be z(f). Round u to the nearest one hundred.
1200
Let g = 4529834 - -3470166. What is g rounded to the nearest one hundred thousand?
8000000
Let x(j) = -176*j**2 + j - 9. Let q be x(-4). Let s = -9829 - q. What is s rounded to the nearest one thousand?
-7000
Let l(z) = -5 + 1290*z - 716*z + 907*z. Let g be l(5). Round g to the nearest 1000.
7000
Let y = -8.3 - -8.30134. Round y to four dps.
0.0013
Suppose 5*s = 2*u - 16015, 4*s + 9410 + 6602 = 2*u. Round u to the nearest 1000.
8000
Suppose k = -2*j - j + 18, -3*j + 2*k + 9 = 0. Suppose j*a + 802 = -4*t, a - 4*t + 214 = 44. Let d = a - -79. Round d to the nearest 10.
-80
Let d(k) = -23*k**3 + 15*k**2 - 8*k. Let t be d(-12). Suppose -5*b + a + 2*a + t = 0, -42000 = -5*b - 3*a. Round b to the nearest one thousand.
8000
Let o = -138.000000163 - -138. Round o to seven decimal places.
-0.0000002
Let v = 0.05 - -0.55. Let m = v + -0.59999928. What is m rounded to seven dps?
0.0000007
Let o(m) = m. Let x be o(12). Let g(w) = -621*w**3 - 3*w**2 - 4*w - 2. Let h be g(-2). Let f be (-3)/x - h/(-8). What is f rounded to the nearest one hundred?
600
Suppose 3*y + 140000 = 2*y. What is y rounded to the nearest 10000?
-140000
Let q be 43*41 + 4 + -2. Let l = q - 1025. Round l to the nearest one hundred.
700
Let w = 12 - 20. Let l(g) = -2208*g**3 - 9*g**2 - 9*g + 8. Let i be l(w). What is i rounded to the nearest one hundred thousand?
1100000
Let x = -0.44 - -0.44092. What is x rounded to four decimal places?
0.0009
Suppose -2*a - a = 4*x - 15, 0 = 4*x - 3*a - 9. Suppose i + 0*b - 3*b = 8, 0 = -
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{
"pile_set_name": "DM Mathematics"
}
|
6)/21. Let j be 5 + t - -2 - 0. Put 2, j, 0 in ascending order.
0, 2, j
Let f = -0.08 - -0.18. Let b be 4/(-10) - 96/(-165). Let c = 1.05 + -0.05. Sort b, c, f in ascending order.
f, b, c
Suppose -4*l = 4*q - 4, -2*q + 6*q - l + 6 = 0. Let n = -32 + 5. Let t = -36 - n. Put -3, q, t in ascending order.
t, -3, q
Let t = 1725 - 1722. Put t, 2, 127 in increasing order.
2, t, 127
Let s be (-3)/12*(-1)/(-3)*2. Let k = 36 + -109/3. Sort -2/3, k, s, -2/9 in decreasing order.
s, -2/9, k, -2/3
Let k(d) = d + 3. Let f be k(-3). Suppose f = -4*c - z + 16, -z = c - 2 - 2. Suppose 2*o = n - 6, o - 11 = 3*n - c. Sort -3, 3, o in descending order.
3, -3, o
Suppose 0 = 5*z + 25, 5*n + 5*z + 1287 = 7. Sort n, -3, -1 in descending order.
-1, -3, n
Let y = -59 - -62. Suppose -o - 16 = y*o. Put 3, 1/8, -10/7, o in increasing order.
o, -10/7, 1/8, 3
Suppose -3*n = 2*n - 95. Let d = -14 + n. Let z = 72 + -74. Sort 0, z, d in decreasing order.
d, 0, z
Suppose -5*l = -0*l + 20. Suppose 4 + 20 = 12*m. Sort l, 9, m.
l, m, 9
Let k = 75.33 - 76. Let w = k - -1.67. Sort -3, 1/4, w in ascending order.
-3, 1/4, w
Let b = 1 + -2. Let v(f) = -f - 5. Let x be v(0). Put x, b, -6 in decreasing order.
b, x, -6
Let q = 19 - -17. Suppose q = -3*h - h. Let u be 1 - 0 - (-27)/h. Sort 0, u, -3 in ascending order.
-3, u, 0
Let f = 3.1 + -3.9. Let m be -6 - (1 + -1 + -1). Suppose 6*n = 4*n + 2. Sort m, f, n in increasing order.
m, f, n
Let y = 21/424 - -4/53. Let o = -147 - -169. Put -5, y, o in increasing order.
-5, y, o
Suppose -y - 42 = y. Let c be 1*2 - (-49)/y. Let d = 27.3 - 27. Put c, -2/15, d in increasing order.
c, -2/15, d
Let z be (-149)/2 + (-2)/4. Let m be (-1020)/25 - (-8)/10. Let g be ((-2)/m)/(10/z). Sort -2, g, -1 in decreasing order.
g, -1, -2
Let x = 71.65 - 1.65. Let v = x - 69.7. Sort v, 0.2, 1 in decreasing order.
1, v, 0.2
Suppose 5*m = -186*a + 183*a - 5, -3*m + 8 = 4*a. Let q = 7 + -11. Put a, 48, q in decreasing order.
48, a, q
Let t be 4/132*(0 + 2 + 16). Put -2/7, 3/89, t in decreasing order.
t, 3/89, -2/7
Suppose 4*a = -34*s + 37*s + 15, -4*a = -2*s - 10. Sort -2/53, a, 0.2, 5 in increasing order.
-2/53, a, 0.2, 5
Let j be 5/(-6)*116/(-22765). Sort 2, j, -2/5 in ascending order.
-2/5, j, 2
Let p = -0.3 - -0.1. Let b be (49/196)/(2 - (-18)/(-8)). Let j = 1 + -6. Sort j, p, b in decreasing order.
p, b, j
Suppose 0 = 5*i - 4*z - 85, 4*z - 68 = -4*i - z. Suppose 0 = -3*x - 4*a + i, 24 = 4*x + 5*a + 2. Put x, 2/11, -2/9 in ascending order.
-2/9, 2/11, x
Let s = 0.4347 - -4.6073. Let j = 0.042 - s. Put j, 1, 0.4 in descending order.
1, 0.4, j
Let d(u) = -3*u**3 - 14*u**2 + 4*u - 4. Let c(w) = -4*w**3 - 15*w**2 + 3*w - 4. Let a(n) = 4*c(n) - 5*d(n). Let h be a(9). Sort h, 4, -3 in decreasing order.
h, 4, -3
Let u = -0.2 + -0.2. Suppose 84*b + 163 + 257 = 0. Put u, b, -4 in descending order.
u, -4, b
Let s = -5 + -62. Let g = 55 + s. Sort -1, 1, g in decreasing order.
1, -1, g
Let w = -10.5 + 5.1. Let i = 2.4 + w. Sort 0.4, i, -4 in increasing order.
-4, i, 0.4
Suppose -2*d = 6, -2*d = 2*q + 2*q + 14. Let y = 464 + -465. Suppose 3*v = -r - 1, -2*r + 0*v - 1 = 5*v. Put y, q, r in increasing order.
q, y, r
Suppose -4*w + 7*w = -3. Let k = 90 - 87. Suppose k*f + 17 = -4*s, -f + 16 = -5*s - 3*f. Sort s, 14, w in increasing order.
s, w, 14
Let v = -14 + 12. Let i be v + 5 + (-4 - 0). Let j(r) = r**2 + 6*r - 5. Let p be j(-6). Sort p, i, 2.
p, i, 2
Let x(i) = -5*i + 187. Let u be x(38). Put u, -4, -241 in increasing order.
-241, -4, u
Suppose -2*p = 3*p. Suppose 2*s = -5*g + 65, -3*s + 63 = -s + 3*g. Suppose -8*h = -10*h + s. Sort -1, h, p.
-1, p, h
Let d(z) = -z**2 + 0 + 6*z + 2*z - 4. Let f be d(7). Sort -4, f, -2/11.
-4, -2/11, f
Let k be 2/12*3/(-2). Let n = 15 + -11. Suppose s = -2*i - n, 3 - 19 = 4*i + 4*s. Sort k, i, 1/3 in decreasing order.
1/3, i, k
Let f(a) = -4*a**2 - 4*a - 24. Let n(b) = b**2 + b + 6. Let c(m) = 2*f(m) + 9*n(m). Let d = -588 + 588. Let v be c(d). Sort -3, v, -2 in increasing order.
-3, -2, v
Let a = 520 + -518.973. Let q = a + -0.027. Let g = 1757/13 + -135. Sort q, g, -3 in descending order.
q, g, -3
Suppose 3*a = -8*a - 77. Let t be a/(-4)*(-1)/(-7). Suppose 1 = 2*g - 9. Put 1/9, g, t in increasing order.
1/9, t, g
Suppose -2*q = 5*q + 14. Let l be q*(-4)/8 - 1. Sort -2, 4, l, -1 in increasing order.
-2, -1, l, 4
Let m be (-1)/(77/803) + 9. Suppose 4*y = 2*u + 2*y + 2, 5*u - 3*y = -11. Suppose 0 = -f - f + 4. Put m, f, u in increasing order.
u, m, f
Let p(o) = 5*o - 67. Let d be p(14). Sort d, -1, 5, 1/5 in increasing order.
-1, 1/5, d, 5
Let i = 472 + -471.95. Sort i, 3, 5/4, 0 in increasing order.
0, i, 5/4, 3
Let c = -111 - -109. Sort c, 0, 28 in descending order.
28, 0, c
Let l = 2.03 - 0.03. Let v = -1.7 + l. Sort -1, 19, v in descending order.
19, v, -1
Let u = 704 - 3503/5. Sort u, 0.2, -4 in descending order.
u, 0.2, -4
Let m = 55 - 6. Let h = 49 - m. Let i = 4 - 9. Put -3, i, h in descending order.
h, -3, i
Let o = -129 - -131. Suppose -5*k + o*d + 8 = 0, 4*k = -0*d + d + 4. Put -25/8, k, 0.4 in decreasing order.
0.4, k, -25/8
Let l be (-6)/(-2)*2/((-5256)/170). Let z = -2/73 - l. Let r = 0.9 + -0.4. Sort 0.06, r, z in descending order.
r, z, 0.06
Let f(g) = g**3 + 22*g**2 + 40*g + 6. Let u be f(-20). Suppose -2*j - 8 = u*j. Sort 5, j, 8 in increasing order.
j, 5, 8
Let t = -761 - -760.902. Sort t, 2, -4/7 in descending order.
2, t, -4/7
Let r = -3/338 + 1373/2366. Sort 4, r, -1/2, -4.
-4, -1/2, r, 4
Let h be -5*(2/(-10) - -1). Let y = 2346 + -2346.5. Sort y, -10, -0.3, h in increasing order.
-10, h, y, -0.3
Let q = -6.3 - -6. Let b = -3.1 - -0.1. Suppose 0 = 308*x - 314*x + 12. Sort q, b, x in increasing order.
b, q, x
Let m(q) = q. Let o be m(-3). Suppose 23*a = 21*a + 18. Put o, 1, a in descending order.
a, 1, o
Let l be 10/25*1 - (-117)/45. Put -5, 4, l, -19 in ascending order.
-19, -5, l, 4
Let v be (-6)/((-6)/(-5)) - (-99)/18. Put 3, -1/2, 1/36, v in decreasing order.
3, v, 1/36, -1/2
Let s = 41.72 - 41. Let o = s + -0.22. Let u = -0.5 - -0.2. Sort o, 0, u.
u, 0, o
Let c = 8231 + -8229. Suppose -y = -2*u - 3, -3*y = -2*u + 5*u - 45. Let a = y - 16. Put c, a, 0 in decreasing order.
c, 0, a
Let o = -203 + 204. Put 1/4, -1, 2, o in increasing order.
-1, 1/4, o, 2
Let p be 2 + (1/3)/((-9)/(-54)). Put 0, p, 16 in ascending order.
0, p, 16
Suppose 2*t - 5*d = 21, -5*t - 8*d = -10*d. Sort -49, t, -5 in descending order.
t, -5, -49
Suppose -4*l + 6 - 54 = g, 3*l = -g - 37. Let z = -8 - l. Suppose z*f + f + 16 = 0. Put f, -0.7, -5 in decreasing order.
-0.7, f, -5
Let s = 57/7 + -8. Let b be ((-1)/4)/(303/4). Let t = b + 1217/1515. Put t, 0.1, s in decreasing order.
t, s, 0.1
Suppose -20*c - 14*c = -1802. Sort 0.03, c, -4, -2 in increasing order.
-4, -2, 0.03, c
Let a = 453 + -458. Sort a, -8, 4, -1 in decreasing order.
4, -1, a, -8
Suppose -45*n - 108 = 27. Sort 0, -4, 4, n.
-4, n, 0, 4
Suppose o - 4 = 3*o, -2 = 2*r - 5*o. Let t = 5.1 + -0.1. Put t, r, -1 in decreasing order.
t, -1, r
Let l = 34 - 38.3. Let g = l + 0.3. Let v = -0.4679 + -0.0321. Put v, g, 2 in descending order.
2, v, g
Let r = -10.3 + 11.21. Let f = 0.71 - r. Sort 0.2, -0.4, 0.4, f.
-0.4, f, 0.2, 0.4
Suppose -112 = 2*k + 5*k. Let p be (-4 + k/(-3))/(2/(-3)). Put 1, 4, -1, p in decreasing order.
4, 1, -1, p
Let d be -5 + 11 - (-39)/(-6). Let j = 1.3 - 0.8. Let p = j - 0.6. Sort -4, d, p in ascending order.
-4, d, p
Suppose -9*o + 73*o = -2944. Put -5, o, 5 in increasing order.
o, -5, 5
Let a(b) = 2*b**2 + 5*b + 4. Let x be a(-10). Let g be (-7)/(x/15) + 3/6. Let n = -5 + 8. Sort n, 0, g in descending order.
n, 0, g
Suppose -6*c = 9*r - 10*r - 11, 3*c = -5*r + 11. Let k(u) = u**3 - u**2 - 3. Let j be k(0). Sort -4, c, j, -1 in descending order.
c, -1, j, -4
Suppose 5*x - 18 = -2*h, 5*x + 7 = 3*h + 30. Sort h, -22, -4.
-22, -4, h
Let w = -3/91 - 67/728. Let u = -0.2 + 0.5. Let g = 1.3 - u. Put w, g, 1/5 in decreasing order.
g, 1/5, w
Let j = 5 + -4. Let b = -14 - -15. Suppose -o + 0*o = b. Put j, o, -3 in descending order.
j, o, -3
Let z(k) = 2*k**3 - 4*k**2 + k + 2. Let m be z(2). Let b be -1*(-2 - 4 - -3). Let a(p) = -p**2 + p + 3. Let u be a(3). Put b, m, u in descending order.
m, b, u
Suppose -d - 3*z - 1 = 1, -3*z + 28 = -5*d. Let r(s) = s**2 + 5*s - 2. Let x be
|
{
"pile_set_name": "DM Mathematics"
}
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6, -43, -56, -65?
2*w**2 - 23*w - 5
What is the q'th term of 76, 82, 92, 106, 124, 146?
2*q**2 + 74
What is the z'th term of 3864, 3867, 3872, 3879, 3888, 3899, 3912?
z**2 + 3863
What is the h'th term of -13, -32, -61, -100, -149, -208?
-5*h**2 - 4*h - 4
What is the w'th term of 12, -32, -110, -228, -392, -608?
-w**3 - 11*w**2 - 4*w + 28
What is the g'th term of -40966, -40968, -40972, -40978, -40986, -40996, -41008?
-g**2 + g - 40966
What is the g'th term of -1494, -1492, -1490, -1488, -1486, -1484?
2*g - 1496
What is the m'th term of -22, -44, -94, -184, -326, -532, -814?
-2*m**3 - 2*m**2 - 2*m - 16
What is the s'th term of 12, 32, 50, 66, 80?
-s**2 + 23*s - 10
What is the r'th term of 7, 49, 127, 247, 415?
r**3 + 12*r**2 - r - 5
What is the m'th term of -5298, -5294, -5280, -5250, -5198, -5118, -5004?
m**3 - m**2 - 5298
What is the l'th term of -80, -323, -728, -1295, -2024, -2915?
-81*l**2 + 1
What is the k'th term of -56, -114, -172, -230, -288?
-58*k + 2
What is the f'th term of 58, 113, 170, 229, 290?
f**2 + 52*f + 5
What is the g'th term of 53, 100, 147, 194, 241, 288?
47*g + 6
What is the o'th term of -1292, -1294, -1296, -1298?
-2*o - 1290
What is the y'th term of 3302, 6605, 9908, 13211, 16514, 19817?
3303*y - 1
What is the d'th term of 16525, 16529, 16541, 16567, 16613, 16685?
d**3 - 2*d**2 + 3*d + 16523
What is the g'th term of -71, -117, -161, -203?
g**2 - 49*g - 23
What is the a'th term of -92, -168, -246, -326?
-a**2 - 73*a - 18
What is the j'th term of 108, 167, 180, 147, 68, -57?
-23*j**2 + 128*j + 3
What is the r'th term of -24, -30, -36, -42?
-6*r - 18
What is the s'th term of -85, -86, -89, -94, -101, -110, -121?
-s**2 + 2*s - 86
What is the z'th term of 685, 1373, 2061, 2749?
688*z - 3
What is the k'th term of 388, 746, 1104, 1462?
358*k + 30
What is the o'th term of -3, 6, 17, 30, 45?
o**2 + 6*o - 10
What is the o'th term of -8, -28, -66, -122, -196?
-9*o**2 + 7*o - 6
What is the l'th term of 26, 37, 58, 95, 154, 241?
l**3 - l**2 + 7*l + 19
What is the m'th term of 6451, 12905, 19361, 25819?
m**2 + 6451*m - 1
What is the t'th term of 509, 1015, 1521?
506*t + 3
What is the y'th term of 350, 703, 1058, 1415?
y**2 + 350*y - 1
What is the d'th term of -284, -389, -484, -563, -620, -649?
d**3 - d**2 - 109*d - 175
What is the o'th term of 30, 21, 6, -15, -42, -75, -114?
-3*o**2 + 33
What is the l'th term of -16, -28, -32, -22, 8, 64?
l**3 - 2*l**2 - 13*l - 2
What is the u'th term of -13, -15, -27, -55, -105, -183, -295, -447?
-u**3 + u**2 + 2*u - 15
What is the r'th term of 35, 117, 267, 497, 819?
2*r**3 + 22*r**2 + 2*r + 9
What is the w'th term of -3098, -3097, -3096?
w - 3099
What is the m'th term of -7, -47, -113, -205, -323, -467, -637?
-13*m**2 - m + 7
What is the i'th term of 814, 816, 816, 814, 810, 804, 796?
-i**2 + 5*i + 810
What is the z'th term of 95, 338, 743, 1310, 2039?
81*z**2 + 14
What is the u'th term of 98, 185, 256, 305, 326, 313, 260, 161?
-u**3 - 2*u**2 + 100*u + 1
What is the z'th term of 245, 242, 239?
-3*z + 248
What is the m'th term of -17, -61, -133, -233, -361?
-14*m**2 - 2*m - 1
What is the c'th term of 165, 328, 505, 702, 925, 1180?
c**3 + c**2 + 153*c + 10
What is the g'th term of 17811, 17806, 17789, 17754, 17695, 17606, 17481?
-g**3 + 2*g + 17810
What is the i'th term of 43, 43, 47, 55, 67?
2*i**2 - 6*i + 47
What is the k'th term of 716, 691, 666, 641, 616?
-25*k + 741
What is the c'th term of -644, -705, -814, -977, -1200?
-c**3 - 18*c**2 - 625
What is the k'th term of 34190, 34191, 34192?
k + 34189
What is the x'th term of 252, 263, 282, 309?
4*x**2 - x + 249
What is the a'th term of -12, -6, 20, 78, 180?
2*a**3 - 2*a**2 - 2*a - 10
What is the y'th term of -7, -9, -9, -7?
y**2 - 5*y - 3
What is the u'th term of 723, 724, 725, 726, 727?
u + 722
What is the s'th term of 455, 912, 1367, 1820, 2271?
-s**2 + 460*s - 4
What is the v'th term of 2548, 5070, 7594, 10120, 12648, 15178, 17710?
v**2 + 2519*v + 28
What is the y'th term of 78, 209, 342, 477?
y**2 + 128*y - 51
What is the j'th term of 19, 5, -9, -23, -37, -51?
-14*j + 33
What is the k'th term of -29, -68, -107, -146, -185?
-39*k + 10
What is the j'th term of -212, -211, -210?
j - 213
What is the m'th term of -898, -3585, -8062, -14329?
-895*m**2 - 2*m - 1
What is the h'th term of 1175, 1151, 1119, 1085, 1055?
h**3 - 10*h**2 - h + 1185
What is the h'th term of 12, -13, -104, -297, -628, -1133?
-6*h**3 + 3*h**2 + 8*h + 7
What is the r'th term of -465, -478, -495, -516?
-2*r**2 - 7*r - 456
What is the k'th term of 27, 31, 23, -3, -53, -133, -249, -407?
-k**3 + 11*k + 17
What is the s'th term of 36, 21, 2, -21?
-2*s**2 - 9*s + 47
What is the d'th term of 19, -21, -153, -425, -885, -1581, -2561, -3873?
-8*d**3 + 2*d**2 + 10*d + 15
What is the l'th term of 0, -34, -128, -312, -616?
-5*l**3 + l + 4
What is the v'th term of -24, -127, -324, -633, -1072?
-3*v**3 - 29*v**2 + 5*v + 3
What is the p'th term of -112, -924, -3136, -7450, -14568?
-117*p**3 + 2*p**2 + p + 2
What is the i'th term of -32, 0, 32, 64, 96, 128?
32*i - 64
What is the c'th term of -121, -194, -253, -292, -305?
c**3 + c**2 - 83*c - 40
What is the v'th term of -58, -65, -84, -121, -182, -273, -400?
-v**3 - 57
What is the a'th term of -46, -54, -62, -70, -78?
-8*a - 38
What is the u'th term of 10, 11, 0, -35, -106, -225?
-2*u**3 + 6*u**2 - 3*u + 9
What is the h'th term of -4, -26, -76, -166, -308?
-2*h**3 - 2*h**2 - 2*h + 2
What is the o'th term of 5, -5, -23, -55, -107, -185?
-o**3 + 2*o**2 - 9*o + 13
What is the r'th term of -5, 8, 21, 34?
13*r - 18
What is the k'th term of 2060, 2061, 2064, 2069, 2076, 2085, 2096?
k**2 - 2*k + 2061
What is the n'th term of -12, -91, -288, -657, -1252, -2127?
-9*n**3 - 5*n**2 - n + 3
What is the v'th term of 38, 43, 44, 41, 34, 23?
-2*v**2 + 11*v + 29
What is the b'th term of -1079, -1094, -1109, -1124, -1139, -1154?
-15*b - 1064
What is the s'th term of 3, 29, 65, 105, 143, 173, 189, 185?
-s**3 + 11*s**2 - 7
What is the q'th term of 67, 140, 217, 298?
2*q**2 + 67*q - 2
What is the k'th term of -27, -20, -19, -30, -59, -112, -195, -314?
-k**3 + 3*k**2 + 5*k - 34
What is the d'th term of 142, 232, 322, 412, 502, 592?
90*d + 52
What is the g'th term of -162, -174, -194, -222, -258, -302, -354?
-4*g**2 - 158
What is the o'th term of 3, 25, 69, 141, 247, 393, 585?
o**3 + 5*o**2 - 3
What is the t'th term of 0, -30, -62, -96?
-t**2 - 27*t + 28
What is the s'th term of -81, -62, -43, -24?
19*s - 100
What is the v'th term of -5, -15, -25?
-10*v + 5
What is the d'th term of -2020, -2003, -1986, -1969, -1952?
17*d - 2037
What is the i'th term of 79, 161, 243, 325, 407, 489?
82*i - 3
What is the i'th term of 147, 274, 375, 438, 451, 402, 279?
-2*i**3 - i**2 + 144*i + 6
What is the b'th term of 92, 104, 116?
12*b + 80
What is the v'th term of -439, -879, -1319, -1759, -2199, -2639?
-440*v + 1
What is the k'th term of -74, -141, -204, -263, -318, -369?
2*k**2 - 73*k - 3
What is the g'th term of -110, -113, -116, -119, -122?
-3*g - 107
What is the z'th term of -870, -873, -880, -891, -906, -925?
-2*z**2 + 3*z - 871
What is the d'th term of 18, 44, 92, 168, 278, 428, 624, 872?
d**3 + 5*d**2 + 4*d + 8
What is the t'th term of -3, -135, -279, -441, -627?
-t**3 - 125*t + 123
What is the r'th term of -504, -869, -1250, -1653, -2084, -2549, -3054, -3605?
-r**3 - 2*r**2 - 352*r - 149
What is the l'th term of 32, 58, 94, 140, 196?
5*l**2 + 11*l + 16
What is the z'th term of 3, 0, -21, -66, -141?
-z**3 - 3*z**2 + 13*z - 6
What is the v'th term of -23, -36, -49?
-13*v - 10
What is the z'th term of -376, -362, -344, -328, -320, -326, -352, -404?
-z**3 + 8*z**2 - 3*z - 380
What is the v'th term of 703, 1406, 2109, 2812, 3515?
703*v
What is the f'th term of 41, 281, 907, 2111, 4085, 7021, 11111?
32*f**3 + f**2 + 13*f - 5
What is the d'th term of -61, -95, -197, -403, -749, -1271?
-6*d**3 + 2*d**2 + 2*d - 59
What is the n'th term of 297, 610, 933, 1272, 1633, 2022?
n**3 - n**2 + 309*n - 12
What is the j'th term of -85, -161, -237?
-76*j - 9
What is the g'th term of 34, 23, -2, -47, -118?
-g**3 - g**2 - g + 37
What is the q'th term of 8461, 8460, 8459, 8458, 8457?
-q + 8462
What is the k'th term of 112, 238, 366, 496?
k**2 + 123*k - 12
What is the j'th term of 5, 3, 5, 11,
|
{
"pile_set_name": "DM Mathematics"
}
|
*i - 24, 4*i = 4*w. Suppose 0*d = 5*d - 5. Solve o + d = w for o.
3
Suppose z + 4 = 0, 5*q - 1 = -4*z - 17. Suppose f = -0*f. Let o be f/((-1 - -4)/3). Solve q = h - o - 2 for h.
2
Let r(z) = -z**2 - 13*z - 11. Let o be r(-12). Let d(y) = 21*y**2 + y - 1. Let n be d(o). Suppose -6*i + n*i = 12*i. Solve i*p = 4*p for p.
0
Let g be 4/(-8)*(-2 + 2). Let w = 192 + -194. Let a be w/(-13) - (-1140)/195. Solve -a*f + f - 20 = g for f.
-4
Suppose 3*v + 0 = -21. Let x(n) = -n - 5. Let t be x(v). Suppose 16 = 5*g - w, 0 = -t*g + 3*w + 2*w + 11. Solve -3*r = g + 6 for r.
-3
Let h be (-14)/(-4)*(-2)/(-7). Suppose z - 41 = -5*q - 2*z, 5*q - 29 = 3*z. Suppose 0 = -q*l + 23 + 12. Solve 3*f - l - h = 0 for f.
2
Let c = -2197 + 2197. Solve 35*j - 256 + 81 = c for j.
5
Let x = 5382 + -5374. Solve -50 = 2*k + x*k for k.
-5
Let b be 22 + (-1)/(-5 - 45/(-10)). Let y be 6/16 + b/(-64). Solve 4*v + 20 = -y*v for v.
-5
Let q(j) = 5*j - 16. Let z(o) = -5*o + 17. Let t(f) = 5*q(f) + 4*z(f). Suppose 6 = a + a. Let x be t(a). Solve 0 = x*g - 2 - 10 for g.
4
Let g be -7 - (-158 - (17 + -21)). Solve g*a - 161*a = 42 for a.
-3
Let x(a) = -4*a - 1. Let n be x(-1). Suppose 4*v - 57 = -0*v - n*o, 2*o + 30 = 3*v. Suppose 0 = v*y - 17*y + 25. Solve 0 = y*w - 10*w for w.
0
Suppose 3*w = 2*x - 4*x - 21, 7 = -w + 3*x. Let h be ((-28)/(-8))/w*-74. Solve -40*a + h*a = 3 for a.
-1
Suppose 2*i + 3*u = 28, 5 + 7 = i + u. Let y(b) = -b**3 + 10*b**2 - 11*b - 5. Let q be y(i). Solve 10*p + q = 3*p for p.
-5
Let y be (3/(-12))/((-200)/(-560)*2/(-40)). Solve 0 = -y*m + 39*m - 125 for m.
5
Let l(h) = -142*h + 16616. Let j be l(117). Suppose 5 = 3*d - 5*f - 5, -f + 11 = 2*d. Solve j - 12 = d*g for g.
-2
Let q be (616/165 + 4/60)*(2 + 3). Solve -q*y = -24*y + 15 for y.
3
Let r be 4/(-6) + (-2090)/(-66). Suppose -4 = r*w - 35*w. Solve -k + w + 4 = 0 for k.
5
Let u be 1202/(-10) - (-8)/40. Let v be 125/(-20)*u/25. Solve 0 = 8*d - 2*d - v for d.
5
Suppose -24 = -2*a - 3*w, 3*a - 178 = -w - 149. Let z(o) = o**2 + 6*o + 7. Let v be z(-5). Solve 0 = -v*g - g - a for g.
-3
Let b(f) = -f**2 + 3*f. Let h be b(0). Suppose 5*i - 19 = -2*a, h = -3*a + 5*a - 4. Solve 5 - 2 = -i*s for s.
-1
Let f(g) be the second derivative of 0 - 5/2*g**2 + 48*g + 1/6*g**3. Let s be f(6). Solve r - s = -4 for r.
-3
Suppose 3*v - 21 = -0*j - 3*j, -j = -4*v + 3. Solve 22*r = -j - 17 for r.
-1
Suppose -5*o - 14 = -4*b + 21, 0 = -3*b + 3*o + 24. Suppose 2*x = 7*x - b. Solve 5*j - x = 4 for j.
1
Suppose 0 = 841*a - 855*a + 224. Let z = 44 + -28. Let k = z - a. Solve k*s + s + 4 = 0 for s.
-4
Suppose -5*j - 3*w + 130 = 0, 0 = 22*j - 20*j + 3*w - 61. Solve -7*s + 90 = j*s for s.
3
Let x(y) = -5*y**3 + 46*y**2 + 62*y - 164. Let c be x(10). Solve c*f - 54*f - 10 = 0 for f.
5
Let k(z) = 5*z**2 + 19*z - 21. Let u be k(-5). Solve u*y = 23 + 31 for y.
6
Let c = 6 + -1. Let x(j) = 3*j - 113. Let i be x(38). Solve -i = v - c for v.
4
Suppose 2*b = 5*o - 441 - 130, -2*o + 240 = 5*b. Let r = o - 100. Solve q - r = -2*q for q.
5
Let s = -17515 - -17738. Solve -257*y + s*y - 272 = 0 for y.
-8
Suppose 2*j = -63 + 47. Let s be 33*(j/(-12))/(-1). Let f(z) = -z - 22. Let l be f(s). Solve -6 + l = 3*o for o.
-2
Let y(s) = s**2 - 12*s + 24. Let h be ((-3)/(-1 - -2))/(12/(-20)). Suppose h*j - 54 + 4 = 0. Let r be y(j). Solve 4*l + 16 = r for l.
-3
Let l = -35961 - -35988. Solve 9*b = l - 90 for b.
-7
Suppose -204*k + 463 = -536 - 225. Suppose 4*u = -3*x + 27, 3*u - x - 3*x - 14 = 0. Solve 5*f + u = k for f.
0
Let h = -2 + 0. Suppose -65 = 9*f - 29. Let u be f*(-5)/((-20)/h). Solve d + d = u for d.
1
Let q = 935 - 922. Solve 0 = -q*z + 14 + 25 for z.
3
Let a = 31735 + -31732. Solve -30 = -a*d - 3 for d.
9
Suppose 0 = -9*n - 1 + 1. Suppose -28 = -4*x - 2*i, n*x + 4*x + 4*i - 20 = 0. Suppose 0 - 6 = -3*u. Solve p + x = -u*p for p.
-3
Suppose 2*k = k + 5, 5 = -3*r + k. Let o = -231 - -302. Suppose r = 9*x + 26 - o. Solve -z - 16 = -x*z for z.
4
Suppose 5*x - y - 15 = -4, -y = 1. Let w = -269 - -290. Suppose 19*d + 6 = w*d. Solve 3*j = x*j - d for j.
-3
Let n(d) = -d**3 + 74*d**2 + 82*d - 176. Let h be n(75). Solve -h*p + 15 = -346*p for p.
5
Let a be ((-121)/(-44))/(6/48). Solve 22 = -10*w + a for w.
0
Suppose -8*v = y - 43, 31*y - 6 = 34*y - 3*v. Let j = 5 + 1. Solve -j = -y*c - 15 for c.
-3
Let u be 12 + 0 + (9*7/7 - 3). Solve -896*r + 899*r = -u for r.
-6
Suppose 31*a - 5 = 26*a. Let o be (-34)/(-255) + ((-146)/(-30))/a. Solve -o*i = -4*i - 5 for i.
5
Suppose 0 = -4*u + 2*b + 400, -2*u + 3*b = -127 - 61. Solve 133*x + 180 = u*x for x.
-6
Let i be (-3 - 4) + 8 - -14. Let h(u) = -u**2 + 13*u + 30. Let v be h(i). Solve v*t - 4 = 2*t for t.
-2
Let j(w) = -w**2 + 9*w - 6. Let t be ((-48)/15)/(6/(-45) + 0). Let o be (-2 - (-3)/1)/(3/t). Let n be j(o). Solve n*x = -x + 6 for x.
2
Let r = 21 - 22. Let x = r + -4. Let o = 6 + x. Solve -o + 4 = 3*y for y.
1
Let d(s) = 9*s - 6. Let y(q) = 9*q - 7. Let x(r) = 3*d(r) - 2*y(r). Let g = 13 + -11. Let m be x(g). Solve 0 = -3*v + 1 + m for v.
5
Let l(i) be the first derivative of -i**2/2 + 2*i + 33. Let f be l(-17). Suppose -4*x - 4*h = -0*x - 28, 2*x - f = -3*h. Solve 7*d - x*d = 0 for d.
0
Suppose 3*j = -2*j + 15. Suppose -4*q + 15 + 4 = i, 15 = 3*q. Let p be -6*(0 + i/j). Solve 0 = v - p for v.
2
Suppose -6*j + j + 8 = 3*n, 3*j - 28 = 4*n. Suppose 12 = j*d + 3*z - 2, 5*d = 3*z + 31. Solve -27*t + 28*t = -d for t.
-5
Let z = -5656 + 5684. Solve 550*v + z = 543*v for v.
-4
Let i(b) = -b**3 + 9*b**2 - 8*b + 2. Let y be i(8). Let t(g) = 20*g + 6. Let m be t(-4). Let d = m - -75. Solve -d - 1 = -y*c for c.
1
Let d = -172 + 154. Let k be -1 + (12/d)/((-6)/9). Solve -a + 5*a + 8 = k for a.
-2
Suppose -205 = -12*w + 11. Suppose -5*i - 3*x = -i - w, -2*i - 3*x = -6. Solve 0*k + 12 = i*k for k.
2
Suppose -122*v + 7570 + 15488 = 0. Solve -24*b - 45 + v = 0 for b.
6
Let m(u) = 3*u**3 + 15*u**2 - u + 7. Let k be m(-5). Solve -k = -12*o + 24 for o.
3
Let i = 287 + -226. Suppose 0 = i*g - 53*g. Solve 11*d - 9*d + 8 = g for d.
-4
Suppose -70*f - 111*f - 64*f + 69825 = 0. Solve 283*r = f*r - 10 for r.
5
Let d be (-6)/4 + 92/8. Suppose 726*k - 21919 + 5221 = 0. Solve 11*y + d = -k for y.
-3
Let t = 52 - 118. Let y = t + 80. Solve y = -3*g + 2 for g.
-4
Let x be ((-9)/(-6))/(-3)*14. Let k be (5 + x + 5)/(3/4). Solve -k = 2*f + 2*f for f.
-1
Suppose 0 = -2*i + 9*i - 378. Let u = 2 - i. Let x be 30/8 - (-39)/u. Solve 5*v - x = 2*v for v.
1
Suppose 34*y - 43*y = -4 - 41. Let c be 4/(-12) + (-4)/6. Let w = c - -3. Solve j + w - y = 0 for j.
3
Let v be (29/4)/(14/224). Solve 0 = 2*k + v - 126 for k.
5
Suppose 1014*m - 982*m - 5416 = -904. Solve -m = 32*g - 13 for g.
-4
Let k be (-2)/(-67) - 29988/(-938). Suppose -q + 3*q = 16. Let b be q/k + (-78)/(-8). Solve b*p - 5*p - 5 = 0 for p.
1
Suppose -250 = -5*m - 92*m - 28*m. Let n(o) = o**3 - 5*o**2 - 7*o + 8. Let w be n(6). Solve w*i = -m*i for i.
0
Suppose 37*g = 49*g - 108. Let m be 5 - g/21 - 6/(-14). Let q be (-6)/(-12)*(0 + 18). Solve -m*d + q*d = 0 for d.
0
Suppose 0 = -25*k + 22*k + 9. Let w be (5/2 - k)*(-9 - -1). Suppose 27*c = 17*c + 20. Solve w = -3*g + c*g for g.
-4
Let k(g) = -g**2 - 6*g + 5. Let f(l) = -l**2 + 15*l + 11. Let t be f(16). Let d be k(t). Let a be (2 - 1)*(0 + d/5). Solve -a*x + 0*x + 10 = 0 for x.
5
Let i = -58 - -90. Let a = -19 + i. Solve 0 = 2*r + 3 - a for r.
5
Suppose -1572 = 8*x - 1988. Solve 0 = 24*t - x - 44 for t.
4
Suppose -5*i + 98*j + 25 = 93*j, -5*i = -3*j - 21. Suppose -4 = 2*b + 3*v + 5, -4*v - 17 = b. Suppose 0 = z + b*z. Solve z*a = -a - i for a.
-3
Let v be (-5)/(6/4 - 2). Suppose -32 = -25*z + 9*z. Solve 3*p = -z*p + v for p.
2
Let h be (-132)/(-88)*14/3. Solve h*m = 261 - 212 for m.
7
Let k be 0/(-1) + 1 + 1. Suppose -5*m + 11*y - 1 = 12*y, 0 = -5*m + 2*y + 2. Solve k*w - 1 - 1 = m for w.
1
Let c be (2 - (-15)/((-450)/(-880)))*3. Solve -3*r - 73 = -c for r.
7
Suppose -321*j + 316*j + 13884 = 2*k, -2*j + 27816 = 4*k. Solve 9*h - k = -6921 for h.
4
Let a(z) = -19*z - 15. Let u be a(17). Let k = u - -340. Solve k*w = -w for w.
0
Let i be 36*11/((-330)/(-20)). Solve b + i*b = -50 for b.
-2
Let n(i) = -i**3 - 5*i**2 + 7*i + 9. Let t be n(-6). Let s be (-17)/(51/18) - -8. Suppose 49 + 55 = 5*l - s*u, -2*u + 76 = 4*l. Solve -l = 8*z - t*z for z.
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by 434.
355
Calculate the remainder when 1535 is divided by 54.
23
Calculate the remainder when 1677 is divided by 8.
5
What is the remainder when 1221086 is divided by 8?
6
Calculate the remainder when 159710 is divided by 114.
110
Calculate the remainder when 3126 is divided by 199.
141
Calculate the remainder when 16718 is divided by 4.
2
Calculate the remainder when 9164 is divided by 416.
12
Calculate the remainder when 3834 is divided by 18.
0
What is the remainder when 3535 is divided by 318?
37
What is the remainder when 20778 is divided by 801?
753
What is the remainder when 36042 is divided by 15?
12
Calculate the remainder when 18551 is divided by 45.
11
Calculate the remainder when 1754 is divided by 415.
94
Calculate the remainder when 8973 is divided by 191.
187
What is the remainder when 1427 is divided by 711?
5
What is the remainder when 2498725 is divided by 231?
229
Calculate the remainder when 590574 is divided by 1530.
1524
What is the remainder when 17075 is divided by 150?
125
What is the remainder when 25494 is divided by 56?
14
What is the remainder when 113 is divided by 62?
51
What is the remainder when 45915 is divided by 47?
43
Calculate the remainder when 299341 is divided by 193.
191
What is the remainder when 10145 is divided by 181?
9
What is the remainder when 206460 is divided by 68?
12
Calculate the remainder when 64106 is divided by 369.
269
What is the remainder when 662 is divided by 246?
170
Calculate the remainder when 801 is divided by 53.
6
Calculate the remainder when 21583 is divided by 839.
608
Calculate the remainder when 15511 is divided by 10.
1
What is the remainder when 34438 is divided by 41?
39
What is the remainder when 181815 is divided by 60603?
6
What is the remainder when 14792 is divided by 13?
11
Calculate the remainder when 6729 is divided by 6707.
22
Calculate the remainder when 6150 is divided by 515.
485
What is the remainder when 15012 is divided by 3002?
2
Calculate the remainder when 721240 is divided by 146.
0
What is the remainder when 997540 is divided by 87?
85
What is the remainder when 85147 is divided by 226?
171
What is the remainder when 18842 is divided by 11?
10
Calculate the remainder when 7318 is divided by 106.
4
Calculate the remainder when 1354 is divided by 578.
198
What is the remainder when 243844 is divided by 118?
56
What is the remainder when 29863 is divided by 393?
388
What is the remainder when 726 is divided by 428?
298
Calculate the remainder when 692 is divided by 140.
132
What is the remainder when 1866 is divided by 138?
72
What is the remainder when 56456 is divided by 43?
40
What is the remainder when 1354 is divided by 400?
154
What is the remainder when 938641 is divided by 33?
22
What is the remainder when 68438 is divided by 204?
98
Calculate the remainder when 30357 is divided by 30347.
10
Calculate the remainder when 455098 is divided by 3992.
10
Calculate the remainder when 16232 is divided by 1466.
106
Calculate the remainder when 881011 is divided by 105.
61
Calculate the remainder when 1370706 is divided by 13.
12
Calculate the remainder when 11018 is divided by 408.
2
What is the remainder when 83646 is divided by 8?
6
What is the remainder when 43261 is divided by 14356?
193
Calculate the remainder when 1357 is divided by 266.
27
What is the remainder when 28719 is divided by 383?
377
Calculate the remainder when 160635 is divided by 653.
650
What is the remainder when 28849 is divided by 9558?
175
What is the remainder when 112688 is divided by 56340?
8
What is the remainder when 121768 is divided by 15220?
8
Calculate the remainder when 500353 is divided by 100062.
43
Calculate the remainder when 6469 is divided by 165.
34
Calculate the remainder when 55216 is divided by 282.
226
What is the remainder when 69707 is divided by 124?
19
What is the remainder when 13886 is divided by 3280?
766
Calculate the remainder when 43749 is divided by 497.
13
What is the remainder when 12225 is divided by 111?
15
What is the remainder when 98645 is divided by 152?
149
What is the remainder when 5662 is divided by 6?
4
What is the remainder when 76711 is divided by 112?
103
Calculate the remainder when 1016 is divided by 58.
30
Calculate the remainder when 349 is divided by 180.
169
What is the remainder when 57477 is divided by 1741?
24
What is the remainder when 8917 is divided by 67?
6
Calculate the remainder when 6724 is divided by 29.
25
Calculate the remainder when 43671 is divided by 14514.
129
What is the remainder when 5022 is divided by 195?
147
Calculate the remainder when 58406 is divided by 98.
96
Calculate the remainder when 13256 is divided by 143.
100
Calculate the remainder when 38991 is divided by 104.
95
Calculate the remainder when 47646 is divided by 823.
735
Calculate the remainder when 26077 is divided by 126.
121
Calculate the remainder when 20692 is divided by 75.
67
What is the remainder when 6349278 is divided by 28?
26
What is the remainder when 8407 is divided by 8396?
11
What is the remainder when 4200 is divided by 81?
69
Calculate the remainder when 488691 is divided by 649.
643
Calculate the remainder when 401466 is divided by 16.
10
What is the remainder when 1859 is divided by 33?
11
Calculate the remainder when 20073 is divided by 3.
0
Calculate the remainder when 198858 is divided by 1282.
148
Calculate the remainder when 1867 is divided by 13.
8
Calculate the remainder when 12053656 is divided by 847.
846
What is the remainder when 6462 is divided by 6451?
11
What is the remainder when 15403 is divided by 7701?
1
Calculate the remainder when 104275 is divided by 1655.
10
Calculate the remainder when 26630 is divided by 2048.
6
What is the remainder when 93705 is divided by 46852?
1
Calculate the remainder when 9144 is divided by 5.
4
What is the remainder when 135386 is divided by 68?
66
Calculate the remainder when 1073 is divided by 367.
339
Calculate the remainder when 1317 is divided by 177.
78
What is the remainder when 1179 is divided by 1040?
139
Calculate the remainder when 33079 is divided by 8262.
31
Calculate the remainder when 15860 is divided by 1132.
12
Calculate the remainder when 598539 is divided by 448.
11
What is the remainder when 3280 is divided by 82?
0
Calculate the remainder when 27678 is divided by 160.
158
Calculate the remainder when 176397 is divided by 525.
522
Calculate the remainder when 2509 is divided by 803.
100
What is the remainder when 223677 is divided by 111826?
25
Calculate the remainder when 4310 is divided by 150.
110
Calculate the remainder when 2001 is divided by 508.
477
Calculate the remainder when 2953 is divided by 184.
9
What is the remainder when 37570 is divided by 3128?
34
Calculate the remainder when 8733 is divided by 121.
21
What is the remainder when 19594 is divided by 223?
193
What is the remainder when 1340 is divided by 580?
180
Calculate the remainder when 1837 is divided by 485.
382
What is the remainder when 3311 is divided by 24?
23
What is the remainder when 176367 is divided by 72?
39
Calculate the remainder when 31419 is divided by 3483.
72
What is the remainder when 3485 is divided by 437?
426
Calculate the remainder when 29462 is divided by 254.
252
What is the remainder when 11236 is divided by 46?
12
Calculate the remainder when 2550 is divided by 205.
90
Calculate the remainder when 193486 is divided by 16.
14
Calculate the remainder when 106556 is divided by 53277.
2
Calculate the remainder when 13832 is divided by 417.
71
Calculate the remainder when 21323 is divided by 74.
11
What is the remainder when 2506 is divided by 274?
40
Calculate the remainder when 1526723 is divided by 173.
171
What is the remainder when 2362 is divided by 18?
4
What is the remainder when 24309 is divided by 165?
54
What is the remainder when 189717 is divided by 408?
405
What is the remainder when 2816833 is divided by 5?
3
What is the remainder when 87890 is divided by 409?
364
Calculate the remainder when 47283 is divided by 184.
179
What is the remainder when 156167 is divided by 13?
11
What is the remainder when 15818 is divided by 881?
841
Calculate the remainder when 8857 is divided by 354.
7
What is the remainder when 32781 is divided by 23?
6
|
{
"pile_set_name": "DM Mathematics"
}
|
t s(h) be the first derivative of -1/2*h**2 + 4*h - 3. What is s(l)?
0
Suppose -30 = -14*x + 9*x. Let r(t) = t + 1. Determine r(x).
7
Let k be ((-1)/(-2))/(3/(-18)). Let z(l) = 11*l - 12. Let t be -6*(0 - 1)/1. Let i(x) = 2*x - 2. Let m(c) = t*z(c) - 34*i(c). Calculate m(k).
2
Let u(m) = -4*m**2 + m**2 + 6 + m**3 - 2 - 4*m + 2. Give u(4).
6
Let b(v) = -2*v**2 + 3*v - 3. Suppose -6*i + 1 = -11. What is b(i)?
-5
Suppose -1 - 15 = -4*d. Let r(o) = o**2 + 4*o - 5. Let s be r(2). Let c(f) = -s + 3 + d*f + 3 + 5*f. Calculate c(1).
8
Let m(z) = z**3 + 2*z**2 - 2*z - 3. Let f(n) = -n + 0 + 1 - 4*n + 1. Let b be f(1). Calculate m(b).
-6
Let x(s) = -11*s + 6. Let l(t) = 5*t - 3. Let w(q) = 9*l(q) + 4*x(q). Suppose -3*d + 20 = 4*o, 3*o + 2*d - 5*d = -6. Determine w(o).
-1
Let r(b) = -12*b**3 - b - 1. Let t(i) = -i**3 - 3*i**2 - i + 2. Let g be t(-2). Suppose g = -2*x - 2. Calculate r(x).
12
Let l(b) = 2*b**2 + 3*b. Let o be (-144)/63 - (-2)/7. What is l(o)?
2
Let q(l) = -2*l**2 - 4*l + 3. Let p be 2/16 - (-328)/(-64). Give q(p).
-27
Let f(i) = -6*i + 12. Let n(z) = 4*z - 8. Let h(d) = 5*f(d) + 8*n(d). Determine h(6).
8
Let r(m) = 3*m**2 + m - 6. Suppose 9 = -0*j + j - 2*h, -j - 4*h - 3 = 0. Let u(q) = -5*q**2 - 2*q + 9. Let t(s) = j*u(s) + 8*r(s). Calculate t(-2).
-3
Suppose 3*r - 18 + 3 = 0. Let w(k) = -6*k**3 - 4*k**2 + 2*k + 7. Let g(n) = -n**3 - n + 1. Let i(v) = r*g(v) - w(v). Calculate i(-5).
8
Let n(f) be the first derivative of -f**3/3 + f**2/2 + f - 5. What is n(3)?
-5
Let l(z) = -z. Let t(k) = -3*k + k - 2 - 9 + 3. Let a(h) = 3*l(h) - t(h). Determine a(5).
3
Let w(y) = -2*y - 1 + 2 + 3*y**2 + 1. Let m(z) = z**2 - z + 1. Let b(a) = 2*m(a) - w(a). What is b(1)?
-1
Let u(o) = o - 1. Let l be -1*(2 - 1)*0. Suppose -4*s - s - 15 = l. Determine u(s).
-4
Let n(g) = g**2 + 5*g. Suppose 18 = -4*w + 2*o + 8, o = -3*w - 20. Calculate n(w).
0
Suppose -j = 5*p + 1 - 21, -4*p + 7 = -j. Let c(n) = n**2 - 8*n + 4. Give c(j).
-11
Suppose -8*d = -3*d - 10. Let c(g) = -1 + 1 + 5*g**d - g. Let i = -2 - -1. Determine c(i).
6
Let s(j) = -4 + j + 4 + j**2 + j**3. Suppose 7*a + 8 = 1. Determine s(a).
-1
Let k(j) = j**2 - 2*j + 12. Let v(o) = o**2 + o + 1. Let s(z) = k(z) - 2*v(z). Give s(-7).
-11
Let b(m) = 2*m - 3. Let w be b(2). Let t(o) = -o + 5*o + 2*o**2 - o**2 - w. Let j(r) = -r**2 + 7*r - 5. Let n be j(7). Calculate t(n).
4
Let q(l) be the first derivative of -l - 2/3*l**3 + l**2 + 3 - 3/4*l**4. Suppose 0 = -3*k + 2 + 1. Give q(k).
-4
Let k(z) = -5*z**3 + 2*z**2 + 7*z + 4. Let b(m) = 9*m**3 - 4*m**2 - 13*m - 8. Let h(v) = 4*b(v) + 7*k(v). Calculate h(3).
-4
Let t(w) = 5*w**3 + 2*w**2 + 2*w + 1. Let a be 0 + 3 + (0 - 1). Let f = 22 - 16. Suppose -4*i + a = f. What is t(i)?
-4
Let u(k) = -6*k**2 + 7 + 2*k - k + 5*k**2 + 6*k. Let a be u(7). Let j(c) = 2*c - 8. Calculate j(a).
6
Let g = 188 - 187. Let k(o) = -8*o**2 + 1. Calculate k(g).
-7
Let h(j) be the second derivative of -j**5/20 - j**4/4 + j**3/3 - j**2/2 - j. Give h(-3).
-7
Let c(z) = -6*z**2 - 2*z + 1. Let k be -1 + (-2)/10 + 110/50. Determine c(k).
-7
Let w(v) = 2*v**3 + 8*v**2 + v + 7. Let b(u) = 3*u**3 + 15*u**2 + u + 14. Let l(r) = -3*b(r) + 5*w(r). Determine l(5).
3
Let q(o) be the third derivative of o**4/24 - o**3/3 + 31*o**2. Calculate q(-5).
-7
Let w(r) = r**2 - 2*r**2 - 1 + 6*r**2 + 2*r. Let f(t) = -t**3 - 9*t**2 + 11*t + 14. Let u be f(-10). Suppose -4*h = n + h - 1, h + 4 = u*n. Calculate w(n).
6
Let l = 77 - 75. Let n(g) = -3*g + 1. What is n(l)?
-5
Let y be 8/(-12)*3/(-2). Let z(s) = -s**3 + 2*s**2 - s. Let q be z(y). Let h(w) = w - 1 + 0 + q. Determine h(4).
3
Suppose 3*t + 12 = -0*t. Let x = t - -8. Let m(a) = -a**3 + 3*a**2 + 5*a - 6. What is m(x)?
-2
Suppose -5*p - 4 = 2*d - 33, -p - 4*d + 13 = 0. Let u(b) = -4*b**2 + 2*b. Let c(v) = 2*v**2 - v. Let f(a) = p*c(a) + 2*u(a). Give f(2).
6
Suppose 2*n - 4 = -2*n. Let g(t) be the first derivative of -t**6/45 + 2*t**3/3 + 1. Let i(q) be the third derivative of g(q). What is i(n)?
-8
Let i(c) = 2*c + 4. Let j = 67 + -70. Give i(j).
-2
Let x(k) = 14*k**3 - 8*k**2 + 2*k - 7. Let z(q) = q**3 - q**2 - 1. Let u(s) = x(s) - 6*z(s). Determine u(1).
7
Let s(f) = -f**3 - 2*f**2 + f + 1. Suppose 5*d + 30 = 5*x, -2*x + 0*x - 16 = 5*d. Suppose v = -4*v + 20. Suppose x = j + 2*z - 0*z, v*j = -4*z. Determine s(j).
-1
Let n(l) be the first derivative of 5 - 9/2*l**2 - l. Give n(1).
-10
Let t(g) be the third derivative of 0*g**3 + 0*g + 0 - 3*g**2 - 1/24*g**4. What is t(5)?
-5
Let j(x) = 2*x. Suppose 8*a = 11*a + 6. Determine j(a).
-4
Let c(o) = -o**2 - 3*o + 1. Let h be c(-2). Suppose -3*p + 2*d = -13 + 2, -5*p + 17 = -2*d. Let k(q) = -4 - q**2 - q**p + 3*q**2 + 5*q + 0. Determine k(h).
2
Let s(d) = 16*d - 10. Let y(n) = 11*n - 7. Let r(l) = 5*s(l) - 7*y(l). Let v = 2 + -4. Give r(v).
-7
Suppose -d = -2*d + 2. Let f be d/(-3) + (-51)/(-9). Let y(o) = -6 + 2 - 6*o + 0*o**2 + o**3 - f*o**2. Calculate y(6).
-4
Let u = -16 + 28. Suppose -2*x - 12 = d, -4*x + 0*d = -d + u. Let y(a) = a**2 + 8*a + 5. Determine y(x).
-11
Let t(q) = -2*q**3 - 19*q**2 - 11*q. Let u(w) = w**3 + 9*w**2 + 5*w. Let p(o) = -4*t(o) - 9*u(o). Suppose 23 = -3*j + 3*h + h, -4*h = -j - 13. Calculate p(j).
5
Let m(r) = -5*r**3 + r**2 - r - 1. Let t be m(-1). Let g(n) = n - 2*n + 0*n + 0 - t. Determine g(-5).
-1
Let t be -2 + 5/(15/(-9))*1. Let c(j) = -j**2 - 6*j - 1. What is c(t)?
4
Let g(a) = a**2 - 3*a - 2*a**3 + a**3 + 4*a + 7. Let i = -14 - -11. Let m be 0*1/i*-3. What is g(m)?
7
Let u(o) = -8*o**2 + 4*o**2 - 6 - o**3 - o**2 + 5*o. Let k(c) = c**2 - 5*c. Let z be k(4). Let i(q) = q**2 + 6*q + 2. Let p be i(z). Calculate u(p).
0
Suppose 3*y = 3*j + 4*y + 2, j - y = 2. Suppose j = -10*u + 7*u + 3. Let p(k) = -k**3 + k. Give p(u).
0
Let j(q) be the third derivative of -q**6/120 + q**5/60 - q**4/24 + 5*q**3/6 - q**2. Let n = 6 + -4. Suppose -4*h - 16 = 4*v, h = -n*v - 4 - 0. Give j(v).
5
Let l be 12*2*3/12. Let i = l + -10. Let c(a) = -a - 7. Determine c(i).
-3
Let k be 20/6*(-156)/(-130). Let s(o) = -4*o + 6. What is s(k)?
-10
Let r(a) = -7*a**2 + 7*a + 1. Let f(j) = 13*j**2 - 14*j - 1. Let g(s) = 6*f(s) + 11*r(s). Calculate g(4).
-7
Let r = -25 + 30. Let u(o) = 3*o - 5. Determine u(r).
10
Let l(w) be the third derivative of -w**4/12 + w**3/3 + 3*w**2. Give l(5).
-8
Suppose -4*m + 0*m = -8. Suppose 0 = s + m + 2. Let i(r) = r**3 + 4*r**2 - r - 4. Give i(s).
0
Let d(t) = -t**3 + 5*t**2 - 2. Let b = 108 - 104. What is d(b)?
14
Suppose 5*w = 4*i - 36, -3*i - 5*w - 5 = 3. Suppose f = -i*f + 25. Let b = f - 3. Let p(n) = 3*n**2 - 3*n + 1. What is p(b)?
7
Let o(y) be the third derivative of y**6/120 - y**5/15 - 7*y**4/24 + y**3/2 + y**2. Suppose 0 = -4*t - 5*w + 37 - 7, -5*w - 10 = -4*t. Determine o(t).
-7
Let v(d) be the third derivative of d**4/12 + d**3/6 - 9*d**2. Let g(k) = k + 2. Let l be g(-10). Let x = 11 + l. Determine v(x).
7
Let u(t) = t. Let l(b) = -b + 8. Let s(f) = l(f) + 2*u(f). Let q be s(-6). Let m(p) = 3*p + 3*p + 0*p - 3. Calculate m(q).
9
Suppose m = 3*m + 8. Let b = m + 2. Let o(c) = c - 5 + 3 + 3 - c**2. What is o(b)?
-5
Let r be (-24)/28*1*-7. Let u(f) = r + 6*f**3 - 8*f - 4*f**3 + 5*f**2 - 3*f**3 + 4*f**2. Determine u(8).
6
Let g be -1 - (2 + 36/(-3)). Let i(p) = 15*p + 0*p**2 - 3 - p**2 - g*p. Give i(5).
2
Let r(w) = w + 5. Let x = 6 + -6. Let s be 2*(-1 - x) + 6. What is r(s)?
9
Let t(c) be the second derivative of c**3/6 - 5*c**2/2 - 5*c. Let x be t(5). Let v(r) = -r + 1. Let k(q) = 7*q + 6. Let j(s) = -k(s) - 6*v(s). Give j(x).
-12
Let z = 6 + -8. Let b be 4*(-1)/z + -7. Let i(k) = -1. Let u(h) = h. Let q(g) = 2*i(g) + u(g). What is q(b)?
-7
Let n be (6*1)/(6/(-4)). Let c(s) be the third derivative of s**5/60 + s**4/24 - 2*s**3/3 + 49*s**2 + 1. Give c(n).
8
Let r be (1 - 1) + (-6)/4*-6. Let a(z) = -z**3 + 9*z**2 + z - 4. Determine a(r).
5
Let o(k) = k**2 - 8*k + 7. Let t = 0 - -6. Calculate o(t).
-5
Let k(x) = -x**2 + 4. Let a be k(3). Let j(w) = -w**2 - 5*w + 3. Determine j(a).
3
Let j(g) = -g**3 + g**2 + g + 1. Suppose -15 + 6 = 5*x - 2*u, 0 = u - 2. Give j(x).
2
Let x(u) be the first derivative of -3*u**4/2 - 2. Determine x(-1).
6
Let j be -4*(-2 + 15/20). Let f(r) = r**2 - r - 6. Calculate f(j).
14
Suppose v + 5*u + 19 = 0, 2*v + 3*u = 2*u - 11. Suppose j + 5*p - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
= 6*z + 16. Calculate q(10).
76
Let n(i) = 4*i - 8. What is n(8)?
24
Let j(o) = o + 18. Calculate j(-11).
7
Let t(p) = 15*p**2 - p + 1. Give t(1).
15
Let y(j) = -7*j - 85. Give y(-12).
-1
Let q(o) = -o**3 + 12*o**2 - o + 12. Calculate q(12).
0
Let g(o) = 68*o + 5. Calculate g(-3).
-199
Let o(u) = -u**3 - 13*u**2 - 11*u. Give o(-12).
-12
Let h(m) = -7*m + 69. Determine h(11).
-8
Let j(t) = -t**2 - 8*t - 6. Calculate j(-4).
10
Let t(h) = -3*h. Calculate t(-2).
6
Let h(z) = z**2 + 3*z - 6. What is h(-8)?
34
Let d(u) = u**3 - 10*u**2 - 11*u - 9. What is d(11)?
-9
Let o(s) = -s**3 - 4*s**2 + 11*s + 29. What is o(-4)?
-15
Let b(m) = m**2 + 6*m + 9. Calculate b(-5).
4
Let z(k) = -k**2 + k + 24. Calculate z(7).
-18
Let s(a) = a + 8. What is s(-7)?
1
Let o(w) = -4*w - 39. What is o(-11)?
5
Let g(j) = -j**3 + 6*j**2 - 6*j + 26. Give g(5).
21
Let c(r) = r**3 - 11*r**2 + 14*r - 8. What is c(10)?
32
Let r(w) = 56*w + 390. Calculate r(-7).
-2
Let d(c) = 2*c**2 - 46*c + 48. Give d(22).
4
Let r(g) = g**2 + 11*g + 56. Calculate r(-9).
38
Let z(i) = -i. Determine z(-11).
11
Let y(m) = 8*m + 28. Determine y(-9).
-44
Let y(f) = 32*f - 640. Calculate y(20).
0
Let f(h) = -h**2 + 5. Determine f(-4).
-11
Let b(u) = 2*u**2 + 6*u - 3. Calculate b(-6).
33
Let g(a) = -a**3 - 8*a**2 - 5*a + 10. Give g(-7).
-4
Let r(u) = u**2 - 4*u + 6. Determine r(6).
18
Let t(c) = 4*c**3 + 6*c**2 + 8*c + 8. What is t(-2)?
-16
Let o(b) = -b**3 + b**2 + 4*b + 1. Determine o(3).
-5
Let p(y) = -4*y**3 + 3*y**2 + 3*y. Give p(-2).
38
Let q(w) = w - 6. Give q(13).
7
Let l(f) = -f**2 - 2*f - 1. Give l(-1).
0
Let l(p) = -16*p - 45. Determine l(-7).
67
Let z(r) = 11*r + 30. What is z(-2)?
8
Let m(c) = 2*c**2 - 6*c. Determine m(4).
8
Let j(x) = -x**2 - 3*x + 20. Calculate j(-6).
2
Let a(u) = -18*u - 5. Determine a(1).
-23
Let x(c) = c**2 + 9*c. Determine x(-6).
-18
Let d(t) = -t**2 - 2*t. Determine d(2).
-8
Let k(g) = -g**3 + 2*g**2 + g - 3. Determine k(0).
-3
Let c(a) = -a**2 + 7*a - 4. Determine c(3).
8
Let g(t) = -t**3 - 4*t**2 + 4*t + 1. Calculate g(0).
1
Let q(p) = p**2 + 15*p + 1. What is q(-14)?
-13
Let b(j) = j**3 + 2*j**2 + j - 2. Calculate b(2).
16
Let b(r) = -r**3 - 12*r**2 - 13*r - 28. Calculate b(-11).
-6
Let y(c) = -c**3 - 10*c**2 - 9*c + 17. What is y(-9)?
17
Let j(g) = g**2 + 2. Give j(3).
11
Let c(f) = -11*f - 13. Determine c(-6).
53
Let y(s) = -140*s + 416. Calculate y(3).
-4
Let a(w) = w**3 + 5*w**2 + 2*w + 1. Calculate a(-4).
9
Let t(j) = -5*j**2 - 7*j + 5. What is t(-3)?
-19
Let n(x) = -25*x + 75. Give n(5).
-50
Let h(j) = j**3 + 6*j**2 + 3*j + 21. Give h(-6).
3
Let i(o) = o**2 - 11*o + 10. Give i(7).
-18
Let x(v) = v**3 - 7*v**2 + 9*v + 1. Give x(4).
-11
Let a(m) = -2*m**2 - 10*m - 7. What is a(-6)?
-19
Let i(u) = -u**3 + 12*u**2 - 14*u - 14. What is i(11)?
-47
Let w(g) = -6*g - 7. Determine w(4).
-31
Let q(z) = -z**2 + 11*z - 15. Determine q(9).
3
Let c(h) = 3*h**2 + 4*h - 40. Calculate c(-6).
44
Let z(v) = -27*v + 165. Calculate z(6).
3
Let i(q) = -6*q + 1. Calculate i(6).
-35
Let j(b) = b**2 - 2*b + 23. Give j(0).
23
Let o(j) = j**3 + 5*j**2 + j + 1. Determine o(-4).
13
Let f(c) = c + 18. What is f(-13)?
5
Let f(l) = -l**3 + 5*l**2 - 6*l. Give f(4).
-8
Let z(d) = d**2 + 25*d + 48. Give z(-21).
-36
Let b(j) = -2*j**2 - 2*j + 6. Give b(-3).
-6
Let t(b) = b**3 + 20*b**2 - 22*b - 49. Calculate t(-21).
-28
Let c(u) = u + 4. Calculate c(7).
11
Let b(i) = -3*i**2 + 7*i + 10. Determine b(-2).
-16
Let w(s) = 2*s**2 + 8*s + 8. Give w(-5).
18
Let b(h) = 16*h + 1. What is b(2)?
33
Let d(a) = 2*a - 5. Give d(6).
7
Let s(u) = -4*u + 55. What is s(13)?
3
Let m(a) = -3*a**3 + 10*a**2 - 11*a - 4. What is m(2)?
-10
Let j(d) = -d**2 - 16*d - 32. Give j(-13).
7
Let p(x) = 8*x - 41. Give p(4).
-9
Let a(q) = q**2 - 12*q + 4. Determine a(12).
4
Let m(r) = -2*r**2 + 10*r + 8. Give m(6).
-4
Let u(b) = -b**2 - 5*b + 6. Give u(-5).
6
Let g(n) = -n**3 + 17*n**2 + 2*n - 42. Determine g(17).
-8
Let k(h) = 4*h**2 + 2*h - 27. Calculate k(5).
83
Let y(u) = -27*u**2 + 2*u. Calculate y(-1).
-29
Let p(f) = 4*f**2 + 2*f + 9. Calculate p(-3).
39
Let n(r) = 4*r**2 + 4*r - 1. Give n(-3).
23
Let f(o) = -o**3 - 5*o**2 - 2*o + 3. Give f(-2).
-5
Let b(y) = -y - 11. Determine b(-3).
-8
Let b(g) = g**2 - 7*g - 29. What is b(10)?
1
Let d(i) = i**2 - i + 2. Give d(0).
2
Let h(p) = -6*p + 2. Give h(4).
-22
Let i(f) = f**3 - 7*f**2 - 5*f + 10. Determine i(8).
34
Let q(z) = 7*z + 165. What is q(-31)?
-52
Let y(f) = 4*f**2 - 33*f + 4. What is y(8)?
-4
Let h(z) = -z**3 + 4*z - 7. Determine h(-3).
8
Let b(m) = m**3 + 3*m**2 + m + 1. Calculate b(-2).
3
Let f(n) = 41*n + 6. Calculate f(2).
88
Let f(i) = i**3 + 13*i**2 + 13*i + 16. Determine f(-12).
4
Let z(x) = x**3 - 3*x + 2. Give z(-3).
-16
Let z(l) = -l**3 - 6*l**2 - 5*l - 7. Calculate z(-5).
-7
Let a(i) = i**2 - 15*i + 15. What is a(14)?
1
Let g(y) = -2*y**3 + 5*y**2 + y + 8. What is g(3)?
2
Let z(i) = -i**3 + 9*i**2 + 2*i - 12. Determine z(9).
6
Let f(t) = -t**2 + 5*t - 1. Determine f(6).
-7
Let s(y) = y**3 + 5*y**2 - 11*y - 4. Calculate s(-7).
-25
Let j(p) = -p**2 - 9*p + 71. Determine j(5).
1
Let i(c) = c**3 - 8*c**2 - 3*c - 2. Determine i(8).
-26
Let x(f) = 6*f - 196. Determine x(32).
-4
Let t(x) = x**2 - 9*x + 5. Calculate t(8).
-3
Let a(s) = 11*s - 10. Calculate a(0).
-10
Let u(d) = d**3 - d**2 - 1. Calculate u(0).
-1
Let h(x) = -5*x + 32. Give h(-7).
67
Let p(i) = -i**3 - 4*i**2 + 36*i + 30. Calculate p(-8).
-2
Let d(k) = -4*k - 25. Give d(0).
-25
Let i(l) = -5*l + 3. Determine i(4).
-17
Let q(p) = 15*p**2 + 22*p + 1. Determine q(-1).
-6
Let y(k) = k**3 + k**2 - 7*k + 57. Give y(-5).
-8
Let b(a) = a. What is b(-10)?
-10
Let g(k) = 3*k**3 - 2*k**2 - 6*k + 19. Give g(4).
155
Let h(l) = 6*l**2 + 5*l - 20. Calculate h(3).
49
Let b(x) = -4*x**2 + 8*x + 6. Give b(3).
-6
Let l(u) = -2*u + 22. Give l(13).
-4
Let q(a) = a**2 + 4*a - 5. Determine q(3).
16
Let t(d) = 50*d + 1. Determine t(-1).
-49
Let b(q) = 2*q - 45. Calculate b(-8).
-61
Let c(y) = -y**2 + 13. Give c(0).
13
Let o(m) = -5*m + 15. What is o(-10)?
65
Let l(c) = -c**2 - 27*c + 36. Calculate l(-28).
8
Let o(k) = -29*k - 88. Determine o(-6).
86
Let i(k) = -k + 12. Calculate i(7).
5
Let t(z) = 13*z + 2. Give t(1).
15
Let m(u) = 11*u + 5. Calculate m(-5).
-50
Let d(s) = s**2 - 7*s + 18. Calculate d(3).
6
Let i(c) = -c**2 + 22*c - 50. Give i(19).
7
Let y(d) = 2*d**3 + 3*d**2 - 2*d + 5. What is y(-3)?
-16
Let i(h) = h**3 + 3*h**2 - 5*h + 10. What is i(-5)?
-15
Let a(o) = -o**3 - 9*o**2 - 9*o + 6. What is a(-7)?
-29
Let i(h) = -h**3 - 14*h**2 - 12*h + 8. Determine i(-13).
-5
Let a(w) = 6*w + 41. Determine a(-10).
-19
Let x(z) = 2*z**2 + 16*z + 5. Calculate x(-8).
5
Let o(t) = 12*t - 44. Calculate o(3).
-8
Let a(l) = -16*l - 23. Give a(-6).
73
Let q(o) = 3*o - 5. Give q(3).
4
Let g(d) = 2*d - 4. Calculate g(9).
14
Let w(c) = c**2 + 3*c + 7. What is w(-4)?
11
Let m(u) = 3*u**3 - 3*u**2 + 3. Determine m(2).
15
Let d(g) = -g**2 + 9*g - 17. Determine d(8).
-9
Let s(l) = 16*l + 2. Determine s(-1).
-14
Let u(i) = -4*i**2 + 4*i + 3. Calculate u(-1).
-5
Let p(m) = 32*m + 88. Determine p(-3).
-8
Let h(s) = -35*s + 222. Determine h(6).
12
Let l(w) = -w - 12. Give l(5).
-17
Let j(o) = o + 19. Determine j(-5).
14
Let o(i) = -i**3 - 11*i**2 + 28*i + 21. Determine o(-13).
-5
Let o(r) = -3*r**2 - 2*r - 2. Calculate o(3).
-35
Let o(b) = -5*b - 3. Give o(5).
-28
Let g(r) = r**3 + 28*r**2 - 30*r - 21. Give g(-29).
8
Let r(u) = -u**2 + 3*u + 24. Calculate r(7).
-4
Let t(z) = z**2 - 3*z - 11. Give t(5).
-1
Let l(n) = 6*n - 15. Determine l(-7).
-57
Let c(r) = r - 2. Calculate c(5).
3
Let s(k) = -2*k**2 + 27*k + 35. Determine s(14).
21
Let w(n) = 3*n - 15. Calculate w(-9).
-42
Let b(n) = n**2 + 7. Determine b(3).
16
Let s(p) = -p**3 + 12*p**2 + 19*p - 59. What is s(13)?
19
Let t(z) = -2*z**2 - 32*z - 21. Give t(-15).
9
Let b(l) = 3*l**3 - l**2 - l - 1. Determine b(-2).
-27
Let o(q) = -q**3 - 27*q**2 - 23. Determine o(-27).
-23
Let o(g) = g**3 - 12*g**2 + 2*g - 7. Give o(12).
17
Let y(t) = -8*t**2 - t + 3. Calculate y(-2).
-27
Let b(s) = s + 10. Calculate b(-6).
4
Let m(a) = a**2 - 4*a + 6. Calculate m(3).
3
Let h(b) = -b**2 + 10*b - 5. Give h(10).
-5
Let n(q) = -q**3 - 3*q**2 - 2*q + 1. Determine n(-2).
1
Let r(p) = 9*p**2 + 4*p + 3. What
|
{
"pile_set_name": "DM Mathematics"
}
|
alse
Let k(m) = 13*m**2 + 371*m + 175. Is k(-84) composite?
True
Suppose 2*g + 36*z = 31*z + 147334, 3*z + 220959 = 3*g. Is g prime?
False
Let u(t) = -253*t**3 - 2*t - 1. Let c(i) = -4*i**2 + 20*i + 1. Let k be c(3). Let z = -26 + k. Is u(z) prime?
False
Suppose 2865492 - 6494905 = -76*f + 4413591. Is f composite?
False
Let h be 12/8 + (-3)/((-6)/719819). Suppose 108976 = -15*j + h. Is j a prime number?
True
Let l = -2387 + 1239. Let i = -535 - l. Is i a composite number?
False
Let j = 369 - 368. Let a(k) = 2479*k + 75. Is a(j) a composite number?
True
Let i = 60 + -58. Suppose -i*f = 8*f - 27600. Suppose 5*v - 835 - f = 0. Is v a composite number?
False
Let a = -27 + 45. Suppose -a*o + 59308 = -55046. Is o a prime number?
True
Is 449292569/242 + 60/440 a composite number?
False
Let u(t) = 4*t**2 - 18*t + 7. Let i(h) = h**2 + h - 1. Let v(b) = 3*i(b) + u(b). Let x be v(-11). Let f = 1803 - x. Is f composite?
False
Suppose -5713031 = 22*r - 50*r + 1128125. Is r prime?
False
Let f(b) = 47*b**3 - 25*b**2 + 84*b - 183. Is f(16) composite?
False
Suppose -b + 5*v + 22719 = b, -5*v - 15 = 0. Suppose 0 = m - i - b, 7*m + i = 3*m + 45403. Is m prime?
True
Let u = -12718 - -16071. Is u a prime number?
False
Suppose 47*r - 83*r + 205596 = 0. Is r composite?
False
Let z(u) = 61*u**2 - 855*u + 56. Let h be z(14). Suppose -7*o = -2*o - 1050. Is 24650/h - (-20)/o a prime number?
True
Let y(c) = 1104*c**2 + 16 - 3 - 297*c**2 + 4*c. Is y(4) a composite number?
False
Suppose 3*w = 4*p - 2*w - 6423, -2*w = -4*p + 6414. Let s(t) = -61*t**2 + 6*t - 9. Let o be s(4). Let d = o + p. Is d a prime number?
True
Suppose 95*u - 1226065 = 4835980. Is u composite?
True
Let u = 21 - 19. Suppose -3*k - 712 = -u*i - 5*k, -1448 = -4*i + 4*k. Is i a composite number?
False
Let k(u) = 2520*u + 11. Let j(h) = 5*h - 3. Let g be j(1). Is k(g) composite?
False
Let p(a) = 143*a**3 + 3*a**2 + 2*a + 3. Let d be p(-3). Let t = d + -4221. Is (-10)/4*t/85 composite?
True
Let m = 347783 + -237516. Is m a prime number?
False
Suppose 0 = -7*o + 4*o + 2271. Suppose 0 = 24*m + 41 - 161. Suppose -m*t = -6*t + o. Is t prime?
True
Suppose 5*t = 5*b + 977990, 5*t + 0*t - 4*b = 977993. Is t a composite number?
True
Is (-8 + 7)/(-4) + (-13449855)/(-20) a composite number?
False
Let d be (-1 + 0)/((-42)/(-42)). Let r(n) = 5979*n**2 - 5*n - 3. Is r(d) composite?
False
Suppose 20 = -3*q + 116. Let l be -2 + (-8)/(q/12). Is (3202/10)/(l/(-25)) a composite number?
False
Is ((-59)/354)/(2/(-18))*(-1149014)/(-3) composite?
False
Is (2434305/(16 + -1))/(-2 - -3) composite?
False
Let u(v) = -132*v + 88. Let i be u(-8). Let l = i + -231. Is l composite?
True
Suppose -207*p = -74*p - 1707853. Is p a composite number?
False
Is ((-299)/78)/((-4)/218046) - (-1)/4 a prime number?
True
Let x be 5*(-1 + -2)*(-5)/15. Suppose 4*o = -c + 6325, 0 = -x*o + c + 4*c + 7925. Suppose -6*p = -4*p - o. Is p prime?
False
Let u = -3 - -8. Suppose -u*i + 5*q + 7334 = 59, 5*q + 1471 = i. Suppose 2*j - i = 1671. Is j prime?
False
Let p(u) be the second derivative of -u**5/20 + 13*u**4/6 - u**3/6 - 43*u**2/2 + 19*u. Is p(25) prime?
True
Let g(u) = 6*u - 47. Let p be g(6). Let c = p - -2. Is (-14)/(-21) - (40917/c - 0) prime?
True
Suppose 3*d - 4*r - 66460 - 6299 = 0, -5*d + 2*r + 121279 = 0. Is d a prime number?
False
Let c(f) be the first derivative of -347*f**4/4 - f**3/3 - 3*f**2/2 - 2*f - 225. Let r be (-2)/(-1 + (0 - -3)). Is c(r) prime?
True
Suppose 3*v + 4 = 5*r - 8, -r = 2*v + 8. Suppose -72*y + 75*y - 10167 = r. Is y a composite number?
False
Let k = -87 - -1174. Let u = k + 852. Is u a composite number?
True
Is ((-665)/(-70) - 9)*(3178564*1)/2 prime?
True
Let s = -9 + 9. Suppose y = -s*y + 15110. Suppose 3*b - y = -5*o, o + 12066 = 5*o - 2*b. Is o prime?
True
Let k = 9891 + -13888. Let h = -48 - k. Is h prime?
False
Suppose -23*f = -172 - 196. Suppose f*z = 47*z - 226951. Is z a composite number?
False
Let h = 5105 + -22. Suppose -l + h = -1452. Is l composite?
True
Suppose u + i - 108793 = 0, 22*i = 4*u + 19*i - 435214. Is u prime?
True
Let u be (-3)/((-4)/6*(-36)/(-125544)). Suppose -u = -3*z + 4*c, z = -z - 3*c + 10445. Is z composite?
False
Let z be (1*(-24)/14)/((-2)/14). Suppose -3*m + z = -5*a, -a = -4*a + 3*m - 12. Is (a - -263) + 0/(-9) a composite number?
False
Suppose 0 = v + 8*v - 372700 - 356741. Is v a composite number?
False
Let t = 17 - 12. Suppose 5*g - 5*o + 4*o = 8844, -5*o - 8840 = -t*g. Suppose g = -9*x + 9932. Is x a prime number?
True
Let r = 3 + -11. Let a = 12 + r. Suppose 5*b + 2511 = 2*u, -a = 2*b + 2*b. Is u a composite number?
True
Let t = 59032 + 31347. Is t prime?
True
Let i(w) = -850*w - 23. Let g be i(-34). Suppose -8*l + 93157 = g. Is l a prime number?
False
Suppose -37*l - 5*j = -35*l - 227162, j = -5*l + 567951. Is l composite?
False
Let d(k) be the second derivative of k**5/20 - k**4 - k**3 + 3*k**2 - 16*k. Let a be d(12). Let o = a - -157. Is o prime?
False
Suppose 2*z = -0*z + 60. Let p = -10 + z. Suppose -p = -4*m, 426 = -4*w - m + 1027. Is w a composite number?
False
Let k(x) = -x - 2. Let t be k(6). Let h be 2/30 - 23883/(-855). Is t/h - 8222/(-14) a prime number?
True
Suppose 4*k = -k. Suppose k = -0*g + 5*g + 12830. Is ((-7)/(-14))/((-1)/g) a prime number?
True
Suppose -56*w = -284*w + 2920452. Is w a prime number?
True
Let x = 54 - 75. Is (45/x - (-2)/14) + 573 a prime number?
True
Suppose 450*b - 448*b = 584354. Is b composite?
True
Let o = 18292 + -12057. Suppose 8*h - o = -1827. Suppose -10*x - h = -11*x. Is x composite?
True
Suppose -6*o + 8*o - 208825 = 116689. Is o composite?
True
Is (-4)/38 - -4*(-57831336)/(-1824) prime?
True
Let j = 715985 - 342232. Is j a prime number?
True
Let n(j) = j**2 - 13*j + 30. Let r be n(10). Suppose r = 120*f - 119*f - 38017. Is f a prime number?
False
Suppose 4*o = -v + 84532 + 1049, 2*v + 3*o - 171167 = 0. Is v composite?
True
Let t = 54448 - 15941. Is t composite?
True
Let f = 3015 - -7145. Let x = 15141 - f. Is x a composite number?
True
Let n(c) = 1638*c**3 + c**2. Suppose r = -2*r + 15. Suppose -3 = -r*z + 2. Is n(z) a composite number?
True
Suppose -3*d = 11*d - 353710. Let w = d - -1534. Suppose -w = -7*k + 4*k. Is k a prime number?
True
Let k(u) = u**2 - 11*u - 26. Let w be k(13). Suppose w = 14*p - 1644 - 8030. Is p composite?
False
Let l(n) = 3*n**3 - 18*n**2 - 3*n - 7. Let t = 74 - 36. Suppose -8*b + 26 = -t. Is l(b) composite?
False
Let u be 574/28*(-18)/((-6)/2). Is 6 - u/21 - (-59562)/7 a composite number?
True
Let x be ((-1)/4*-2)/((-2)/(-8)). Let j be (0/x)/(-3 + 0 + 1). Suppose 2*m + 4*h - 193 = -43, j = m + 5*h - 81. Is m prime?
True
Is 147*(-4)/(-28) + 153038 a prime number?
True
Suppose -176 = 4*f + 4*a, -7*f + 3*f - 212 = -5*a. Let w = -46 - f. Suppose w*j = -2*j + 332. Is j a composite number?
False
Suppose 58*l - 84550 = 8*l. Is l a composite number?
True
Suppose -14*g - 2*g = 144. Is (-5 + g)*-1*(-1324)/(-8) a composite number?
True
Let r(t) = t**3 + 8*t**2 + 7*t - 4. Let h be r(-7). Suppose 3*k - 2*n + 41 = 5, 24 = -2*k + 2*n. Is (-9474)/h + 2 + k/8 a prime number?
False
Let o(w) = -10*w**3 + 7*w**2 + 7*w + 13. Let a(q) = 5*q**3 + q**2 + q. Let f be a(-1). Is o(f) a prime number?
False
Let p(z) = z**2 - 9*z + 8. Let b be p(8). Suppose -28*n + 16*n + 23076 = b. Is n a composite number?
True
Let t(w) = -2*w - 12. Let u(r) = -2*r**3 + 4*r**2 + 4*r - 1. Let c be u(3). Let o be t(c). Suppose -3*i + o*d = -3487, 3*i + d - 2027 = 1463. Is i prime?
True
Let m(c) = 3*c + 115. Let l be m(-10). Let r(i) = -i**3 + 5*i**2 - 5*i - 1. Let n be r(-7). Let t = n + l. Is t composite?
True
Suppose 5*n = -s + 68350, -42*s = n - 40*s - 13679. Is n composite?
False
Let n(p) = 48*p**2 + 2*p + 2. Let w be n(-3). Let x = -45 + 47. Suppose -u + 413 = -2*i, 3*i - w = u - x*u. Is u a prime number?
True
Suppose 0 = 5*k + 5*k + 15180. Let b = 3057 + k. Suppose b = 2*n - 191. Is n a prime number?
False
Let q = 59245 - 10558. Is q prime?
False
Suppose 12*p - 7*p = -100. Let t = p + 26. Suppose 5*m = -4*g + 1919, 5*g = -2*m + t*m + 2409. Is g a composite number?
True
Suppose -76*i + 298*i = 97*i + 37685875. Is i a prime number?
True
Let y = -139275 + 208742. Suppose -19*f + y = -342890. Is f prime?
False
Suppose -55*v = 6027046 + 15801904. Is v
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is -21220 - -134?
-21031
In base 10, what is 29856 - -25?
29881
In base 3, what is -122200200 - 10?
-122200210
In base 7, what is -1060416 + -1?
-1060420
In base 16, what is -1b11 - -5?
-1b0c
In base 3, what is 12 - -121022221?
121100010
In base 12, what is -a6689 - 3?
-a6690
In base 9, what is -5482 + -72?
-5564
In base 8, what is 2 + 33402?
33404
In base 5, what is -4141 + 1112?
-3024
In base 15, what is 219 + -b7?
152
In base 10, what is -40355 - -48?
-40307
In base 7, what is 10230 - -3?
10233
In base 15, what is 3a5c5 - 2?
3a5c3
In base 9, what is -611872 - -3?
-611868
In base 9, what is 1182 - -1442?
2634
In base 12, what is -12 + -1024?
-1036
In base 5, what is -3 - -244321?
244313
In base 15, what is -707 - -2?
-705
In base 8, what is -1 + 442507?
442506
In base 4, what is -11 - -101302133?
101302122
In base 15, what is 191 - -85d?
9ee
In base 15, what is -751 + 4?
-74c
In base 8, what is 141 + 16330?
16471
In base 9, what is -2 - 202516?
-202518
In base 14, what is -ab0 + -c?
-abc
In base 6, what is 3000432 + 2?
3000434
In base 5, what is 4441 - -10244?
20240
In base 16, what is -d80f - 2?
-d811
In base 2, what is -1110010 - 10111000?
-100101010
In base 5, what is 41 + 3441?
4032
In base 11, what is -1042696 + 1?
-1042695
In base 16, what is 3 + 35d0?
35d3
In base 4, what is -113311113 - -2?
-113311111
In base 5, what is -10 + 413303?
413243
In base 11, what is -168a + 4a?
-1640
In base 3, what is 121 - 22011000?
-22010102
In base 8, what is -115326 - 11?
-115337
In base 16, what is -8fb - 4d3?
-dce
In base 14, what is dcd0 + -15?
dcb9
In base 10, what is -21 + -2446?
-2467
In base 7, what is 1 - -26446?
26450
In base 4, what is -3 - 3220301?
-3220310
In base 16, what is 10174 + -1?
10173
In base 3, what is 12202 - -111111?
201020
In base 2, what is 10 + -101010100001011000?
-101010100001010110
In base 13, what is -1b9 - ac?
-298
In base 14, what is 9495 - -3?
9498
In base 10, what is 4 + 3137?
3141
In base 9, what is 8108 + -72?
8026
In base 3, what is -1121201102 - -10?
-1121201022
In base 3, what is -22211 + -10221?
-110202
In base 15, what is 13 + 786d0?
786e3
In base 8, what is 2 - 145347?
-145345
In base 5, what is 0 + -3332302?
-3332302
In base 8, what is 764 - -111?
1075
In base 6, what is 0 - 211304?
-211304
In base 6, what is -2523 + -1120?
-4043
In base 15, what is 4a7 - -14a?
602
In base 14, what is -3 + -2440?
-2443
In base 5, what is 4 - 30034324?
-30034320
In base 2, what is -10011010 - 10010101?
-100101111
In base 6, what is 1 + 15000?
15001
In base 14, what is -1409 - -235?
-11b4
In base 14, what is 3351a + 1?
3351b
In base 4, what is 233 - -1323021?
1323320
In base 10, what is -2654 - -156?
-2498
In base 2, what is -1001100000 - -1110110?
-111101010
In base 8, what is 172522 + 15?
172537
In base 15, what is -3b - -4da?
49e
In base 4, what is 103011 + -221?
102130
In base 12, what is 1045 + -36?
100b
In base 8, what is 15506051 + -2?
15506047
In base 13, what is 15b7 + 3?
15ba
In base 6, what is -1355 - 451?
-2250
In base 14, what is 4 - -1bbac8?
1bbacc
In base 16, what is 15a38 + -f?
15a29
In base 10, what is 2595495 - 1?
2595494
In base 5, what is 4 + 11102032?
11102041
In base 2, what is 1101100101 + 1?
1101100110
In base 5, what is 1134 + -21203?
-20014
In base 6, what is 325 - 3315?
-2550
In base 4, what is 312 + 12212030?
12213002
In base 10, what is -318 + -123?
-441
In base 10, what is -46 + -6346?
-6392
In base 11, what is -a3 - -1322?
122a
In base 15, what is -1258 - 1c?
-1275
In base 2, what is 10 + 1000001100100110?
1000001100101000
In base 14, what is 4a0 - 1c?
482
In base 14, what is 5a9 - -52?
61b
In base 12, what is -12194a - 0?
-12194a
In base 8, what is -14 + -1423154?
-1423170
In base 10, what is 4 - -12276?
12280
In base 13, what is -213 - -15?
-1cb
In base 4, what is 1020 + -23223?
-22203
In base 13, what is 20c7 + -65?
2062
In base 5, what is 22 - 2104?
-2032
In base 7, what is 0 + -1111?
-1111
In base 7, what is -3445546 + 3?
-3445543
In base 9, what is 362 - 32026?
-31554
In base 15, what is -56 - 269?
-2c0
In base 7, what is 11 - 216510?
-216466
In base 13, what is -31 + -b26?
-b57
In base 8, what is -146 - 2273?
-2441
In base 7, what is 2 + -1066?
-1064
In base 2, what is -100110110 - -10011010111?
1110100001
In base 8, what is 54060 + 4?
54064
In base 4, what is 21100 - -2031?
23131
In base 10, what is -2 - -43523?
43521
In base 2, what is -1000010 + -1000011010000100?
-1000011011000110
In base 5, what is 1100 - 231121?
-230021
In base 12, what is -4 - 1ba38?
-1ba40
In base 14, what is 5 + c1323?
c1328
In base 5, what is 33100 + -132?
32413
In base 2, what is 111001111001001 + 10?
111001111001011
In base 5, what is 3 - 1114221?
-1114213
In base 9, what is -506261 + -5?
-506266
In base 10, what is 2806 + -68?
2738
In base 13, what is 0 - 116c7?
-116c7
In base 3, what is -11 + -201221102?
-201221120
In base 9, what is -102323 + 18?
-102304
In base 15, what is -37 - -33e4?
33ac
In base 6, what is 1 + 213303?
213304
In base 14, what is 58 - -19?
73
In base 14, what is 10c + -13b8?
-12aa
In base 10, what is -2 + 43230?
43228
In base 9, what is -1454 - -1100?
-354
In base 4, what is 3031301210 - 10?
3031301200
In base 5, what is -10 - 2000011?
-2000021
In base 15, what is -d99 - -11?
-d88
In base 14, what is -39a + -19?
-3b5
In base 9, what is -7084 + 88?
-6885
In base 15, what is -d72a7 + 2?
-d72a5
In base 11, what is 5 - 562?
-558
In base 12, what is 1 - 88157?
-88156
In base 15, what is 3 + -16607?
-16604
In base 5, what is 24 - -121434?
122013
In base 13, what is -3 + -24467?
-2446a
In base 12, what is -1 - -728629?
728628
In base 8, what is 2 - -42763?
42765
In base 10, what is 10927 + 2?
10929
In base 15, what is -1617e7 - 3?
-1617ea
In base 8, what is 1143 + -17260?
-16115
In base 7, what is 144203 - 5?
144165
In base 11, what is 3532 + 28?
355a
In base 5, what is 112003114 - 4?
112003110
In base 14, what is 76 - 30c?
-276
In base 10, what is 705135 - 1?
705134
In base 5, what is -11 + 344441?
344430
In base 15, what is 0 + 4e96?
4e96
In base 15, what is 13d9 + -60?
1379
In base 15, what is -41 + 658?
617
In base 2, what is 110110011011101100 - 100?
110110011011101000
In base 9, what is 255 + -214?
41
In base 6, what is -22430 + -3521?
-30351
In base 16, what is -5 + -7e57?
-7e5c
In base 3, what is -2 + -220011021?
-220011100
In base 16, what is 42f1 + -5?
42ec
In base 6, what is 11 - 335013?
-335002
In base 6, what is -10301012 + 0?
-10301012
In base 14, what is -9c0 - -267?
-757
In base 15, what is -2a - -556?
52b
In base 7, what is -1462 + -15?
-1510
In base 4, what is 0 + -210223201?
-210223201
In base 10, what is 3649 - 83?
3566
In base 2, what is 100100001111 - 101010?
100011100101
In base 14, what is 5 + -1db4d?
-1db48
In base 11, what is 4a549 + 4?
4a552
In base 12, what is -86 - -1002?
b38
In base 8, what is -3646274 - 3?
-3646277
In base 11, what is -449 - -97?
-362
In base 15, what is 2c94 + 0?
2c94
In base 3, what is 201110 + 110002120?
110211000
In base 13, what is 5 + -3552?
-354a
In base 13, what is 0 + 13a93?
13a93
In base 9, what is -62720 - -5?
-62714
In base 6, what is -5532443 + -4?
-5532451
In base 11, what is -854a + -3?
-8552
In base 10, what is -5740 - -153?
-5587
In base 13, what is -1988 - -2?
-1986
In base 6, what is 12 - 4235450?
-4235434
In base 9, what is 55037 - 42?
54885
In base 13, what is 88b - -3b5?
c73
In base 5, what is -3213332 - 2?
-3213334
In base 10, what is 3 - -6277?
6280
In base 5, what is 40110001 - 11?
40104440
In base 3, what is -101212211 - 1122?
-101221110
In base 16, what is 4f1 - 331?
1c0
In base 7, what is 535 + -11201?
-10333
In base 7, what is -16206 - -213?
-15663
In base 13, what is 16c - -95?
234
In base 4, what is -11 - -10011321?
10011310
In base 16, what is 11ec21 - 4?
11ec1d
In base 8, what is 6 + -3337?
-3331
In base 12, what is 5 + 7b74?
7b79
In base 15, what is -78ba - -1?
-78b9
In base 11, what is -1240 + -547?
-1787
In base 15, what is 1464 - 5?
145e
In base 6, what is 3300015 + 3?
3300022
In base 8, what is 2 - -202435?
202437
In base 10, what is -12 - -290?
278
In base 7, what is -1 + 106305?
106304
In base 10, what is -3240 - 492?
-3732
In base 7, what is 1144 + -305?
536
In base 13, what is -396 + -1524?
-18ba
In
|
{
"pile_set_name": "DM Mathematics"
}
|
0 + 1. Let z = 514/7 - i. What is the biggest value in 2/3, c, z?
2/3
Let x = -3.75 - -7.8. Let u = 0.05 - x. Suppose 15 = 6*w - 3*w. Which is the third smallest value? (a) w (b) -2/7 (c) u
a
Let t be -1 - (3 + (-75)/20). What is the second biggest value in 0.1, -3, t?
t
Let d = 1.17 + -1.57. Which is the second biggest value? (a) 4 (b) 1/7 (c) d
b
Suppose -2*m = -3 + 1. Let c = 1 - m. Suppose 0*i + 3*i + 9 = c. What is the second biggest value in 1/3, i, 3?
1/3
Suppose 0*l = -4*l + 72. Suppose 2*q = -q + l. Let d be (-2)/(-3) + (-16)/q. What is the biggest value in 0.4, d, -2/7?
0.4
Let a = 271.9 - 259. Let w = 13 - a. What is the second smallest value in 0.3, w, 3?
0.3
Let w = -2.21 - -2.4. Let r = w - -0.01. What is the second biggest value in -2/7, -1, r?
-2/7
Let x be (-8)/(-21) - 16/(-56). Let p = 4.3 - 4. Let v = -10 - -12. What is the biggest value in v, x, p?
v
Let u = -32 - -30. Which is the second smallest value? (a) 4 (b) u (c) 0.3
c
Let t = 0.019 - 0.219. What is the third smallest value in -2/5, 2/7, t?
2/7
Let d = -1.5 - -1.1. Let i = 2.4 + -3. Let a = i - d. What is the second smallest value in a, -0.4, -0.1?
a
Let g = -0.75 + -2.25. Let s = -6 + 4. Which is the smallest value? (a) s (b) 0.7 (c) g
c
Let u = -0.11 - 0.19. Let p be 2/(-1*(-6)/(-3)). Let k be (-4)/(-2) + (1 - p). Which is the biggest value? (a) k (b) 0 (c) u
a
Let n = 58 - 55. Which is the third biggest value? (a) n (b) -8 (c) 1
b
Let y = -2.12 + 2.1. Which is the biggest value? (a) -2 (b) y (c) -0.4 (d) -1
b
Let p = -7918/11 + 720. Let b = -19/36 + 7/9. What is the third smallest value in b, p, 0.1?
b
Let n = 1.2 + -3.2. Which is the third biggest value? (a) n (b) 4 (c) -4
c
Let m = 18 - 13. Let u = 1.96 + 0.04. What is the smallest value in u, m, 1?
1
Suppose 2*g - 5*j = 0, 3*j = -5*g + j - 29. What is the second biggest value in g, 2/9, -4, 7?
2/9
Let f(w) = -w**2 + 6*w + 2. Let x be f(7). Which is the biggest value? (a) 1 (b) 3 (c) x
b
Let l be 6 - ((3 - 2) + -1). Let f be (l/18)/(1/(-3)). Let u = 2/17 + -44/85. What is the third smallest value in f, 1, u?
1
Let l(r) = -8*r - 3. Suppose 2*h - 3 = 3*h. Let v be l(h). Let f be 8/(-3) - (-14)/v. Which is the third smallest value? (a) f (b) -5/3 (c) 0
c
Let u = -1.3 + 0.9. Let n = u - -0.2. Which is the second biggest value? (a) 0.2 (b) -4 (c) n
c
Let p = 2.2 + -0.2. Let y = 32 - 31. Suppose 0 = -0*k - k - 1. What is the biggest value in k, y, p?
p
Let p = -0.11 - 0.19. Which is the second smallest value? (a) p (b) -3/2 (c) 0.2
a
Let s = -27 + 18. Let j = s + 10. Which is the second smallest value? (a) j (b) 1/2 (c) -0.5
b
Let n = 1 + -1. Let s = -31.81 + 31.8. Which is the second smallest value? (a) s (b) n (c) 5
b
Suppose 3 = t - 1. Let s be (t/(-14))/((-36)/28). Which is the third biggest value? (a) -5 (b) -3 (c) s
a
Let u = 67/132 - 1/132. Which is the second biggest value? (a) 0.4 (b) -3/4 (c) 4 (d) u
d
Let i = 13 - 5. Let g be 2/i - 27/60. Which is the biggest value? (a) g (b) -5/2 (c) 4
c
Let m = -10.16 - -0.16. Let i = m - -10.1. Which is the second smallest value? (a) i (b) -1 (c) -5
b
Let p = -8.15 + 0.15. Let w = 7.7 + -0.1. Let x = w + p. What is the third biggest value in 2/11, x, 0.2?
x
Let n = 36.2 - 32. Let j = n + -4. Which is the second smallest value? (a) -3/2 (b) j (c) -1/4
c
Suppose -4*r = 31 - 87. Let i be (-4)/r + 18/14. Let n be (i/(-6))/(2/9). Which is the smallest value? (a) n (b) 1 (c) 0.3
a
Let k = 1 - 15. Let f be k/(-20) + 3/(-6). Which is the biggest value? (a) 0 (b) -0.2 (c) f
c
Let l = 27 - 107/4. Let z be (0 + 0 + 0)/(-1). Let v be (-5)/(-3) + -3 - (-17)/6. Which is the biggest value? (a) v (b) z (c) l
a
Let g = -29.4 + 29. What is the second smallest value in 0.08, 3/7, g, 1/5?
0.08
Let v(f) = -5*f. Suppose 2*d + 2 = -0. Let n be v(d). Suppose n*r + 12 = 37. Which is the smallest value? (a) 2/7 (b) -3 (c) r
b
Let n = -0.04 + -0.16. Which is the biggest value? (a) 3 (b) n (c) -2
a
Let y be 16/30 - 2/6. Let n = -2 + 0. Which is the second smallest value? (a) y (b) n (c) 1
a
Let t = -3 + 0. What is the third biggest value in -5, t, 2?
-5
Let u = 15 + -15. Which is the biggest value? (a) 1/4 (b) u (c) 2/21
a
Suppose -y + 2 = 7. Which is the second biggest value? (a) y (b) -1/11 (c) -0.5
c
Let k = 7297399595/41 + -178001744. Let w = k + 354093467/21607. Let u = w - -2/1271. Which is the biggest value? (a) u (b) 0.5 (c) -0.4
b
Suppose 5*n = 20, -5*j - 8*n + 3*n + 25 = 0. Let y = 8 + -3. What is the biggest value in j, y, 0.5?
y
Let n = 0.03 + 0.37. Let o = 0.6 - 3.6. Let k = o + 3. What is the biggest value in n, k, 3?
3
Let p = -8 - -4. Let t = p - -10. Let h = 11/13 - -43/26. Which is the second smallest value? (a) 0 (b) t (c) h
c
Let v = -12 + 11. Let m be (-26)/(-8) - v - 3. What is the third biggest value in 2/7, m, 0.4?
2/7
Let a = -1.9 - -2. Let k = -3.8 + 4.3. What is the smallest value in k, a, -0.1?
-0.1
Let i = 4285/2 + -2187. Let k = i - -46. Which is the second smallest value? (a) 3 (b) k (c) -0.3
b
Suppose -3*s + 0*s - b - 1 = 0, 0 = s + 2*b + 2. Let t be s/(4/(4/(-2))). Let l = -4 + t. What is the second smallest value in l, -1/4, -2?
-2
Let b = -507 - -7603/15. Let x be 3/((6/(-4))/1). What is the smallest value in b, 5, x?
x
Let d(i) = -3*i**2 - 10*i + 4. Let z be d(-4). Let q(o) = -o**2 - o. Let g be q(0). Which is the smallest value? (a) g (b) z (c) 2/11
b
Suppose -5*d + 32 = i, -5*i + 2*d + 32 = -4*i. What is the biggest value in -0.5, i, -0.2?
i
Let u = -0.2 + 0.2. What is the second smallest value in 2/15, u, 0.1?
0.1
Let z(h) be the second derivative of -h**4/2 + h**3/6 - h. Suppose 0*m = 5*m - 5. Let x be z(m). Which is the second biggest value? (a) x (b) -4/3 (c) -3
c
Let d = 0.3 - 0. Let y(x) = x**2 - 3*x - 5. Let q be y(4). What is the third biggest value in d, q, -0.1?
q
Let x = -0.3 + -2.7. Let l = -1 - -1.4. What is the smallest value in 3/4, l, x?
x
Let r = 11 + -21. Let l = r + 6. Let i = -13/18 + 2/9. What is the third smallest value in i, -3, l?
i
Let w be (-437)/483 + 8/14. Which is the second biggest value? (a) w (b) -0.2 (c) -3 (d) 0.1
b
Let g = -1961/7 + 281. What is the biggest value in g, 2/7, 0.3?
g
Let s(o) = o**3 + 9*o**2 - 3. Let g be s(-9). Which is the second smallest value? (a) g (b) 1 (c) 3/8
c
Let n = 1.27 - 0.27. Which is the third smallest value? (a) n (b) 7 (c) 2/11
b
Let g be (-1)/2 - (2 - 18). Let a = 15 - g. Let y = -0.06 + 3.06. What is the third biggest value in a, y, 4?
a
Let k = 63 - 67. Which is the biggest value? (a) k (b) -1/9 (c) 1/11
c
Let b = -0.09 - 0.05. Let v = -0.44 - b. Let z be (-1*(-1 - 0))/3. What is the second smallest value in v, z, 0.3?
0.3
Let a = -118 - -280. Let w = a + -227. Let m = -197/3 - w. What is the second smallest value in 0.2, m, 2?
0.2
Let u(s) = -s - 10. Let g be u(-9). Let r = -6.4 - -6. Let o = -0.06 - 0.24. What is the third smallest value in g, o, r?
o
Let s be 3/(-15) + 59/(-5). Let d be s/(-54) + 15/54. Which is the second smallest value? (a) 0 (b) d (c) 5/2
b
Let s(a) = a**3 + 5*a**2 - 6*a - 2. Let f be s(-6). Let i = -131 - -130. What is the third smallest value in 2, i, f?
2
Let m = 0.28 - -0.18. Let g = 9 + -9.04. Let p = m - g. Which is the third smallest value? (a) p (b) -4 (c) -2/7
a
Let o = 89/3 + -29. Let i = 0 + 2. Let s = -31/39 + 6/13. What is the second biggest value in o, i, s?
o
Let z = 5 - 1. Let o = z - 1. Let m = 0.08 - -0.22. Which is the second smallest value? (a) -1 (b) o (c) m
c
Let r be 38/(-40) - (13/4 - 4). What is the smallest value in 2/5, r, -4?
-4
Let v = -4.87 + -0.13. What is the smallest value in v, 3, 2/19?
v
Suppose 2*k + 120 = 5*k. Let p be (-6)/k - (-15)/20. Which is the smallest value? (a) -4 (b) p (c) 1/7
a
Let p = 0.08 + -4.08. Let m be (1/(-2))/(18/(-24)). What is the biggest value in 4, m, p?
4
Suppose 4*m = -m + 15. Suppose 4*w - m*w = -5. Which is the smallest value? (a) w (b) 0.1 (c) 3/5
a
Let l be (-23)/(-55) + (-1)/(20/12). Which is the third biggest value? (a) l (b) -2 (c) -4 (d) 2/3
b
Let n be 2/8 - 9/132. Let g be (-4)/6 - (-420)/(-18). Let j be g/15 + (-6)/(-10). Which is the biggest value? (a) n (b) 3/7 (
|
{
"pile_set_name": "DM Mathematics"
}
|
6274. Give n(7).
-121
Let n(g) = -6058*g + 14937. Give n(3).
-3237
Let a(j) = 1454*j + 265945. What is a(-183)?
-137
Let x(f) = -f**2 + 117*f + 25028. Give x(-110).
58
Let o(l) = l**2 - 219*l - 14905. Calculate o(274).
165
Let q(p) = 7336*p - 344795. Calculate q(47).
-3
Let w(s) = 758*s - 15915. Determine w(21).
3
Let t(z) = 7494*z + 269770. Determine t(-36).
-14
Let f(g) = -50*g**2 + 60*g - 20. Determine f(1).
-10
Let q(m) = 37695*m + 866973. Calculate q(-23).
-12
Let y(r) = 19*r**2 - 4603*r - 3450. Calculate y(243).
-48
Let f(o) = o**3 - 1129*o**2 - 39542*o + 31. Calculate f(-34).
31
Let h(b) = b**2 + 201*b - 18327. Give h(67).
-371
Let w(z) = 733560*z + 6602041. Give w(-9).
1
Let v(p) = -p**3 - 36*p**2 + 14*p - 868. What is v(-37)?
-17
Let b(j) = 86*j**2 + 2662*j + 223. Calculate b(-31).
347
Let f(l) = l**2 + 14403*l - 187123. Calculate f(13).
285
Let n(d) = d**3 + 89*d**2 + 167*d - 583. Calculate n(-87).
26
Let g(l) = -16*l - 3540. What is g(-221)?
-4
Let f(a) = -9067*a + 344548. Calculate f(38).
2
Let t(p) = -2*p**3 - 55*p**2 + 4228*p + 117585. What is t(-28)?
-15
Let w(d) = -931*d - 21405. Determine w(-23).
8
Let w(v) = -v**3 + 1506*v**2 + 18252*v + 389. Calculate w(-12).
-43
Let a(m) = m**2 - 940*m + 27234. Calculate a(30).
-66
Let i(s) = 10*s**2 + 1467*s + 23149. Determine i(-16).
2237
Let j(m) = 21*m**2 + 392611*m - 392612. Give j(1).
20
Let w(i) = 3*i**2 - 19153*i - 596621. Give w(-31).
5
Let b(p) = -p**2 - 1998*p - 507997. Calculate b(-299).
4
Let t(i) = 19153*i - 210678. What is t(11)?
5
Let m(u) = -3*u**3 - 121*u**2 - 993*u + 1125. Give m(-28).
-79
Let k(x) = -50339*x - 5386283. Determine k(-107).
-10
Let u(f) = f**3 + 57*f**2 + 114*f + 118. Give u(-55).
-102
Let d(k) = -2*k**2 - 124*k - 1488. What is d(-59)?
-1134
Let h(j) = 51*j**2 - 441*j - 166. Determine h(9).
-4
Let l(u) = -u**3 + 41*u**2 + 21*u - 119. What is l(42)?
-1001
Let m(v) = 4980*v - 567583. What is m(114)?
137
Let i(m) = m**3 + 65*m**2 - 118*m + 917. Calculate i(-67).
-155
Let a(n) = -n**3 + 43*n**2 + 1426*n + 102. Calculate a(65).
-158
Let k(b) = b**2 - 10*b + 64. Determine k(47).
1803
Let g(t) = -6*t**2 - 105*t + 545. Give g(5).
-130
Let j(v) = -v**2 - 140*v + 19038. Determine j(87).
-711
Let x(m) = 89079*m + 4008545. Give x(-45).
-10
Let r(l) = l**2 - 1662*l - 23347. Determine r(-14).
117
Let j(m) = 119772*m - 1317499. Calculate j(11).
-7
Let j(c) = c**3 + 141*c**2 - 2771*c - 13449. Calculate j(-158).
-19
Let r(q) = 9669*q + 87074. Give r(-9).
53
Let c(r) = r**3 + 78*r**2 + 1222*r + 62568. Determine c(-73).
7
Let s(f) = f**3 - 481*f**2 + 3325*f - 3324. Calculate s(474).
-6
Let g(h) = -4*h**2 - 1017*h + 17160. What is g(-270)?
150
Let t(h) = -486086*h + 2430456. Calculate t(5).
26
Let a(t) = -2*t**2 + 151*t + 15277. Give a(133).
-18
Let q(j) = -1025*j + 111783. Determine q(109).
58
Let k(a) = -10933*a**2 + 10970*a - 43. Calculate k(1).
-6
Let h(l) = -562*l + 702. What is h(-2)?
1826
Let p(q) = 25*q**3 + 152*q**2 + 17*q - 1. Calculate p(-6).
-31
Let o(l) = 658*l - 3274. Determine o(5).
16
Let t(u) = -u**3 - 189*u**2 - 7648*u + 2726. What is t(-130)?
-134
Let s(u) = -3*u**3 + 7*u**2 - 6393*u + 12784. Determine s(2).
2
Let h(g) = -2*g**3 + 49*g**2 + 1021*g - 8856. Give h(7).
6
Let i(y) = y**3 + 183*y**2 + 912*y + 132844. What is i(-182)?
-16
Let m(f) = f**3 - 294*f**2 - 3674*f + 4113. What is m(-13)?
-8
Let b(f) = -845*f - 24767. What is b(-29)?
-262
Let i(n) = 12147*n + 205292. What is i(-17)?
-1207
Let x(k) = 436*k + 27616. Calculate x(-67).
-1596
Let a(q) = 1788*q + 12371. Calculate a(-7).
-145
Let c(o) = -250*o**2 - 4230*o - 124. Give c(-17).
-464
Let a(x) = x**3 - 54*x**2 + 161*x + 70. What is a(51)?
478
Let x(l) = 3*l**2 - 2262*l - 30028. Determine x(-13).
-115
Let t(n) = n**2 + 233*n - 266708. Calculate t(413).
90
Let y(b) = -3500*b + 26978. Calculate y(8).
-1022
Let d(n) = -46*n**3 + 47*n**2 - 212*n + 212. Calculate d(1).
1
Let p(c) = -17310*c + 1419442. Determine p(82).
22
Let b(n) = n**2 + 145*n - 19865. Give b(-231).
1
Let d(a) = -a**2 + 5542*a + 44420. Give d(-8).
20
Let r(y) = -11*y**2 - 100*y - 1007. Calculate r(-10).
-1107
Let t(a) = a**3 - 44*a**2 - 146*a + 1992. Determine t(46).
-492
Let f(q) = q**3 - 85*q**2 - 840*q - 499. Calculate f(94).
65
Let a(c) = 29*c - 6674. Calculate a(231).
25
Let o(g) = 32918*g + 230441. Give o(-7).
15
Let f(z) = -1916*z - 159007. What is f(-83)?
21
Let h(p) = 17*p**2 + 385*p + 1066. Determine h(-22).
824
Let u(s) = 3*s**2 - 244*s - 2326. What is u(93)?
929
Let z(c) = c**3 + 7*c**2 - 15*c + 29. Give z(-9).
2
Let c(y) = -69*y + 3009. Give c(24).
1353
Let h(c) = c**3 - 37*c**2 + 206*c - 19. Calculate h(30).
-139
Let n(z) = 44*z**2 + 713*z + 2860. Calculate n(-9).
7
Let a(h) = 26416*h - 158426. Determine a(6).
70
Let v(l) = -l**3 - 123*l**2 + 103*l - 2609. What is v(-124)?
-5
Let v(t) = -t**3 - 60*t**2 + 34*t - 1588. What is v(-61)?
59
Let b(v) = 650*v + 3362. What is b(-6)?
-538
Let x(r) = -r**3 - 8*r**2 + 194*r - 2465. Determine x(-22).
43
Let q(d) = -3893*d - 225763. Determine q(-58).
31
Let y(m) = -m**3 + 107*m**2 - 1343*m - 3206. Calculate y(17).
-27
Let c(s) = 10329*s + 1466709. Determine c(-142).
-9
Let v(p) = -858*p + 23146. What is v(27)?
-20
Let g(r) = -r**3 - 6*r**2 - 716262*r - 2865027. Give g(-4).
-11
Let t(v) = -1322113*v + 3966367. Determine t(3).
28
Let p(v) = -114*v - 53335. What is p(-468)?
17
Let t(f) = -2*f**3 - 224*f**2 - 1017*f + 5655. What is t(-107)?
-16
Let h(p) = 2*p**3 - p**2 - 349*p + 1835. Give h(6).
137
Let l(z) = -1968*z - 55069. Determine l(-28).
35
Let v(s) = 6*s**2 + 163*s + 693. Give v(-5).
28
Let z(o) = -2*o**3 + 40*o**2 - 137*o - 557. Determine z(13).
28
Let g(t) = 330323*t + 330472. What is g(-1)?
149
Let t(w) = w**2 - 2475*w + 463286. Determine t(204).
2
Let c(s) = 4963*s - 2352446. Calculate c(474).
16
Let r(g) = -21*g**3 + 2974*g**2 + 2976*g. What is r(-1)?
19
Let n(z) = 14*z**2 - 436*z + 986. Determine n(29).
116
Let f(o) = -o**2 - 55623*o + 11108585. Give f(199).
7
Let a(g) = 27225*g - 462759. Give a(17).
66
Let f(i) = 3*i**2 - 12*i + 2025. Give f(20).
2985
Let a(h) = -7479*h + 74538. Give a(10).
-252
Let u(f) = 3*f**3 + 161*f**2 - 230*f - 233. Determine u(-55).
317
Let w(z) = -200*z + 8545. What is w(44)?
-255
Let w(q) = -50*q**2 + 125*q + 504. Give w(-5).
-1371
Let b(r) = -r**3 + 275*r**2 + 592*r - 10259. Determine b(277).
267
Let r(l) = -l**2 + 3784*l - 205111. Calculate r(55).
-16
Let c(q) = -q**3 + 28*q**2 + 845*q + 300. What is c(-18)?
-6
Let g(b) = -4*b**3 - 34*b**2 - 67*b - 401. Determine g(-8).
7
Let k(i) = 12765*i + 21700508. What is k(-1700)?
8
Let i(q) = -3*q**3 + 89*q**2 - 47*q - 2352. Calculate i(28).
252
Let j(b) = 60*b**2 - 5253*b - 2343. Calculate j(88).
33
Let n(s) = s**2 + 224*s + 11813. Give n(-85).
-2
Let u(x) = -137*x + 14511. Give u(98).
1085
Let r(x) = -31105*x - 279928. What is r(-9)?
17
Let c(t) = -7*t**3 - 42*t**2 + 129*t + 6. Give c(3).
-174
Let p(z) = -z**2 + 448*z - 7379. What is p(17)?
-52
Let p(z) = 3*z**3 - 1112*z**2 + 5129*z - 1970. Calculate p(366).
-140
Let x(k) = 110764*k - 1329171. Calculate x(12).
-3
Let c(i) = -2*i**3 + 95*i**2 + 970*i + 16. Calculate c(56).
1024
Let o(x) = 1235*x + 207541. What is o(-168)?
61
Let s(d) = -d**2 + 2782*d + 1436046. Determine s(-445).
31
Let w(l) = -l**2 + 37267*l - 298126. Give w(8).
-54
Let a(u) = -u**2 - 108*u + 5886. Calculate a(49).
-1807
Let g(d) = d**3 + 162*d**2 + 589*d - 5439. Calculate g(-158).
1355
Let r(v) = 1105*v - 12073. Calculate r(12).
1187
Let z(a) = -a**3 - 129*a**2 - 264*a - 1175. Calculate z(-127).
95
Let u(y) = 2672*y - 56033. Determine u(21).
79
Let p(z) = z**2 - 84*z - 1368. Determine p(96).
-216
Let w(l) = 2*l**2 - 231*l - 3089. Calculate w(-12).
-29
Let g(w) = 483*w + 8168. What is g(-17)?
-43
Let g(j) = j**2 - 229*j - 85770. Determine g(-200).
30
Let o(k) = -131687*k + 1316882. Give o(10).
12
Let w(d) = d**3 + 420*d**2 + 18532*d + 11820. Calculate w(-370).
-20
Let g(b) = -13*b**2 - 158*b - 606. Calculate g(-6).
-126
Let t(h) = 59*h**2 + 1299*h + 5655. Calculate t(-16).
-25
Let t(o) = 698*o - 20941. Give t(30).
-1
Let z(f) = -5609*f + 409417. Calculate z(73).
-40
Let x(u) = -2706*u**2 + 78476*u - 55. Calculate x(29).
3
Let j(o) = 3*o**3 + 24*o**2 + 2*o - 196. Determine j(5).
789
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
What is prob of sequence vt when two letters picked without replacement from vvtt?
1/3
What is prob of sequence roc when three letters picked without replacement from crkkkos?
1/210
Calculate prob of sequence uqqu when four letters picked without replacement from gqqlulgglubbqqqqg.
1/952
Three letters picked without replacement from {o: 2, f: 2, c: 2, i: 1, w: 1}. What is prob of sequence fcf?
1/84
Calculate prob of sequence vw when two letters picked without replacement from {z: 1, w: 1, v: 1}.
1/6
Four letters picked without replacement from {k: 1, m: 1, s: 1, g: 7, f: 3, n: 7}. What is prob of sequence nmsg?
49/116280
Two letters picked without replacement from {j: 3, w: 12}. What is prob of sequence ww?
22/35
What is prob of sequence zqe when three letters picked without replacement from ezeeeeeeq?
1/72
What is prob of sequence hh when two letters picked without replacement from hvvvvhzzhihvvvv?
2/35
What is prob of sequence wesy when four letters picked without replacement from ssyeseeeeywy?
1/264
Four letters picked without replacement from raorrrooooaoo. Give prob of sequence rrro.
7/715
Four letters picked without replacement from {l: 1, h: 1, g: 1, m: 1, t: 1}. Give prob of sequence hgth.
0
Two letters picked without replacement from {t: 6, o: 12}. What is prob of sequence tt?
5/51
Two letters picked without replacement from {l: 12, h: 7}. What is prob of sequence ll?
22/57
Two letters picked without replacement from {m: 4, f: 3, i: 2, u: 1, g: 4, h: 1}. Give prob of sequence hf.
1/70
What is prob of sequence ggii when four letters picked without replacement from {g: 4, p: 7, i: 4}?
2/455
Two letters picked without replacement from {m: 1, y: 1, g: 1, k: 1, v: 1}. What is prob of sequence yk?
1/20
Three letters picked without replacement from mmammmmmmamm. What is prob of sequence mam?
3/22
Four letters picked without replacement from kkiikkkkkkkkikkk. Give prob of sequence ikki.
3/140
What is prob of sequence uuu when three letters picked without replacement from usuuussususss?
10/143
Calculate prob of sequence sg when two letters picked without replacement from qgtqsghw.
1/28
Two letters picked without replacement from {r: 3, q: 2}. What is prob of sequence qr?
3/10
Three letters picked without replacement from pvppvvvbppppvvvpvvb. What is prob of sequence pvv?
32/323
What is prob of sequence pigo when four letters picked without replacement from giogpgpghgig?
1/495
What is prob of sequence ot when two letters picked without replacement from {m: 6, v: 1, h: 3, n: 5, t: 3, o: 1}?
1/114
Two letters picked without replacement from {i: 7, k: 7}. Give prob of sequence ii.
3/13
What is prob of sequence lyly when four letters picked without replacement from {l: 12, y: 6}?
11/204
What is prob of sequence vl when two letters picked without replacement from vvvvvrrrrvl?
3/55
Two letters picked without replacement from dddgrdrggrr. Give prob of sequence dr.
8/55
What is prob of sequence xit when three letters picked without replacement from tciooxh?
1/210
What is prob of sequence aa when two letters picked without replacement from aazuzzauaz?
2/15
Two letters picked without replacement from {y: 2, t: 1, r: 1, l: 2}. Give prob of sequence yr.
1/15
What is prob of sequence xzc when three letters picked without replacement from yxycydxzzxff?
1/220
Calculate prob of sequence unre when four letters picked without replacement from {n: 6, e: 5, u: 1, r: 1, f: 2}.
1/1092
Two letters picked without replacement from {g: 2, p: 2, h: 1, k: 2, m: 1, j: 1}. Give prob of sequence hp.
1/36
Calculate prob of sequence gz when two letters picked without replacement from gagkaaazkgz.
3/55
What is prob of sequence iy when two letters picked without replacement from iiyiizzziziciiizczc?
1/38
Calculate prob of sequence uuu when three letters picked without replacement from {d: 8, u: 5}.
5/143
What is prob of sequence gr when two letters picked without replacement from {g: 1, v: 5, r: 7, u: 2, d: 3}?
7/306
Two letters picked without replacement from {a: 1, c: 1, f: 2, e: 4}. Give prob of sequence af.
1/28
What is prob of sequence mnmx when four letters picked without replacement from nnnmnnmlmrx?
1/264
Three letters picked without replacement from {g: 2, i: 3, k: 4}. What is prob of sequence kkg?
1/21
Four letters picked without replacement from klagnbk. What is prob of sequence lgkn?
1/420
Two letters picked without replacement from {u: 4, r: 4, g: 1, k: 7, s: 1, e: 1}. What is prob of sequence rs?
2/153
What is prob of sequence idm when three letters picked without replacement from {m: 1, q: 5, d: 1, i: 4}?
2/495
Calculate prob of sequence fn when two letters picked without replacement from mnfmneeemneendi.
2/105
Two letters picked without replacement from pfrfhyhrrfryrfhrf. Give prob of sequence py.
1/136
Calculate prob of sequence kp when two letters picked without replacement from {k: 8, p: 5}.
10/39
Three letters picked without replacement from {k: 3, r: 1, a: 2, p: 3, m: 1, n: 3}. What is prob of sequence nna?
1/143
Two letters picked without replacement from {s: 1, d: 2}. What is prob of sequence dd?
1/3
Two letters picked without replacement from klskk. What is prob of sequence sk?
3/20
Calculate prob of sequence huj when three letters picked without replacement from peeuewupeejuhp.
1/728
Four letters picked without replacement from {n: 2, y: 1, f: 1, w: 1}. What is prob of sequence wnyn?
1/60
Two letters picked without replacement from lhllhdplldll. What is prob of sequence pd?
1/66
Calculate prob of sequence oooo when four letters picked without replacement from {c: 1, o: 19}.
4/5
Three letters picked without replacement from {d: 3, c: 2, j: 3}. What is prob of sequence dcj?
3/56
What is prob of sequence pppi when four letters picked without replacement from {q: 2, i: 5, p: 8}?
2/39
Calculate prob of sequence kk when two letters picked without replacement from kfklllfkffl.
3/55
Two letters picked without replacement from oommmooomomoo. What is prob of sequence om?
10/39
What is prob of sequence gjgs when four letters picked without replacement from {s: 9, g: 1, j: 9}?
0
Calculate prob of sequence cdd when three letters picked without replacement from cdvcndd.
2/35
What is prob of sequence vrtf when four letters picked without replacement from {v: 1, f: 1, g: 1, t: 1, r: 1}?
1/120
What is prob of sequence wx when two letters picked without replacement from wiwxxwxxi?
1/6
Three letters picked without replacement from yzyyyzyyyyyyzyzz. Give prob of sequence yzy.
55/336
What is prob of sequence ep when two letters picked without replacement from ggegpggnpgegegnp?
3/80
What is prob of sequence mgg when three letters picked without replacement from {i: 3, g: 2, d: 3, a: 3, m: 2}?
1/429
Two letters picked without replacement from {d: 4, c: 7, f: 4, s: 1, o: 1}. Give prob of sequence cd.
7/68
What is prob of sequence ckoy when four letters picked without replacement from kpycpow?
1/840
Calculate prob of sequence ff when two letters picked without replacement from feevfvveeev.
1/55
Three letters picked without replacement from xxsxyyyxxt. What is prob of sequence tyx?
1/48
Four letters picked without replacement from eejjjejejjejjecjjccc. Give prob of sequence ceej.
10/969
What is prob of sequence zf when two letters picked without replacement from {j: 1, s: 3, d: 3, z: 3, f: 5}?
1/14
Calculate prob of sequence fy when two letters picked without replacement from {f: 2, y: 3}.
3/10
Calculate prob of sequence fhl when three letters picked without replacement from {h: 6, l: 9, f: 2}.
9/340
Three letters picked without replacement from {f: 1, l: 1, d: 10, k: 2, t: 2}. Give prob of sequence ktl.
1/840
What is prob of sequence www when three letters picked without replacement from wwwwwww?
1
Three letters picked without replacement from {j: 5, t: 2}. Give prob of sequence tjt.
1/21
What is prob of sequence jj when two letters picked without replacement from {j: 11, u: 5}?
11/24
What is prob of sequence ln when two letters picked without replacement from nllyllnylyyyyylygly?
7/171
Two letters picked without replacement from mmvvmvm. What is prob of sequence vv?
1/7
Calculate prob of sequence bsbv when four letters picked without replacement from {b: 3, o: 4, s: 12, v
|
{
"pile_set_name": "DM Mathematics"
}
|
u = 241 + -231. Solve 2*c + 18 = 2*h, h + 4*c + 6 = -u for h.
4
Let d(s) = s**3 - 9*s**2 - 9*s - 8. Let o be d(10). Suppose 7 = 3*k - o. Suppose -r + k*r = 4. Solve -m - 4*u + 6 = 0, r = -m + 3*u + u for m.
2
Suppose -4*b + 5*m = 811, 642 = -5*b - 4*m - 382. Let y = -118 - b. Let w be y/4 - 8/16. Solve -9 = -5*d + 2*d + 3*g, 2*d - 5*g - w = 0 for d.
-2
Let m be 0 + 0*(-1)/3. Suppose -s + 2 = -m. Suppose 2*a = -5*r + 3*a + 20, -2*r + s*a = -8. Solve 6*t = t - r*i - 1, -4*t - 3*i = 0 for t.
3
Let z = 526 - 518. Solve 0 = -2*b + 2*q + 14, 4*b - 2*b = -q + z for b.
5
Let n(b) = 26*b + 135. Let a be n(-5). Solve -a*l = -t + 13, t - 7 = -4*l - 4*t for l.
-2
Let k(p) = -3*p**3 + 4*p**3 - 3 + 0*p + 5*p - 5*p**2. Let i be k(4). Let t = -21423 + 21428. Solve -5*f - 2*d = i, -6*f + d = -3*f + t for f.
-1
Suppose -3*h - 5*o = -22, -3*h + 7*o - 2*o = -2. Solve 5*r = -2*y - 16, -4*r = -h*y + 7 + 17 for r.
-4
Let d(i) = -i + 8. Let t be d(6). Suppose 0 = -54*v - 4494 + 4548. Let x = -1 + 5. Solve -f + t*f = -v, 5*y = f - x for y.
-1
Let z be (3/(-4))/(4 + 330/(-80)). Solve 5*d + r - z = 8, 2*r = 5*d - 17 for d.
3
Suppose -173 - 157 = 10*n. Let u = n - -35. Suppose 0 = 2*l + 2*l + 4*p + 12, -5*l + 6 = -2*p. Solve l = 2*d - u*v + 2, 0 = -5*d - v - 5 for d.
-1
Let s = 3 - -25. Suppose 64*c = 71*c - s. Solve c*a = 8, -4*p + 2*a + 10 = -a for p.
4
Let v be -1 + (8/20)/((-1)/(-10)). Solve -u + 2 = -2*h, v*h + 4*u + 13 = 8*u for h.
1
Suppose 20 = 23*k - 13*k. Solve 10 = -k*f, 0*o - f + 3 = -2*o for o.
-4
Let q(f) = -f**2 - 9*f - 7. Let p be q(-8). Suppose -p = 3*m - 13. Suppose o + 2*o - 8 = u, -10 = -o + 4*u. Solve o*n - n + d - 3 = 0, -m*n + 5*d = 15 for n.
0
Suppose 0 = -3*z - 886 + 892. Solve -12 = -4*s + 7*p - 3*p, 3*p = -z*s + 6 for s.
3
Let u be (-15)/5 + (-1 - -3) + -3. Let j be (-800)/(-130) - u/(-26). Solve 0 = q - v - 4, q + 0*q + 4*v = -j for q.
2
Let c be (-1)/(-3 + -3*(-2)/3). Suppose -2*v - c = -45. Solve 0 = 4*n - 9*n - 5*b + 20, 5*b = -3*n + v for n.
-1
Let r be 3 + 38/(2/(-1)). Let u = r - -20. Solve -2 - 6 = -4*h + n, n = -u*h for h.
1
Suppose -4 = -3*b + 5. Suppose 9 = w + w - 5*i, -w = 5*i + 3. Let y be (-2 - w) + (2 - -4). Solve -y*q = -b*q - 2, -4*q = 4*a for a.
2
Let j = 68 - 45. Suppose 2*m - 2*y = 2, 0 = 2*m - y + 6*y - j. Solve -30 = m*v + 5*k, -3*k = -3*v - k - 11 for v.
-5
Suppose -2*j - 5*j = 0. Suppose -s + 6*s - 60 = j. Solve s - 4 = 5*r + 2*d, r - 4*d = -16 for r.
0
Let k be (-36)/(-14)*28/3. Let z = -19 + k. Solve z*j = 5*w + 25, 2*j = -5*w - 2*j - 16 for w.
-4
Suppose -19*c = -17*c - 4. Solve 0 = q + 2*x - 1, -3*x + 11 = c*q + 7 for q.
5
Let m(t) = t**2 + 3*t + 9. Let v be m(-2). Let y = 13 + -10. Suppose -y*s - 15 = -21. Solve v*x - 20 = 3*x + 2*d, s*d = -x + 5 for x.
5
Suppose -2*l = 3*r - 6 - 21, 0 = 3*r + 3. Suppose -2*g = 5*b - 10, -3*g + 2*b - 4*b + l = 0. Solve -3 + 1 = w - g*q, 2*w - 5*q + 4 = 0 for w.
-2
Suppose -4*c - 72 + 206 = 3*g, 0 = 2*c + 8. Suppose 0 = 5*h - 5*u - g, -2 - 11 = -h + 2*u. Solve -s - b - 1 = h, 5*s = 5*b + 10 for s.
-3
Let c = -36 - -41. Solve 16 = 4*f, h + c*f - 20 = -5 for h.
-5
Suppose 14 - 146 = -6*x. Solve -13 = -4*k - 5*n + x, -k + 5*n = 10 for k.
5
Suppose -2*m = 4*h - 30, -h = -m + 19 + 11. Solve -2*d = -4*w - 10, -2*w + 5*d - m = -w for w.
0
Suppose -3*v - 4 = -10. Let q be (1/(-3))/(v/(-24)). Solve 5*o = -2*g - 23, 4*g - 3*o + q*o + 19 = 0 for g.
-4
Let m = -93 - -77. Let f be (1 + m)*112/(-48). Solve 4*x = 4*r + 12, -5*x - 6*r + f = -r for x.
5
Suppose q + 3*q - 3*b = -1, 4 = 5*q - 2*b. Let l(t) = t**2 + 7*t + 3. Let n be l(-7). Solve 5*a - 5*m - 30 = 0, 2*a + q*m = -n - 1 for a.
2
Let x be (-4)/3 - 230/(-69). Solve -4*h + 4*n + 16 = 0, 3 = -x*h - 4*n - 19 for h.
-1
Let l be 1 + 0 - (1 + -1). Suppose -h + 5 = -l. Let s be 2/(40/(-25))*(-1 + -3). Solve -s*k = -2*u + 35, -5*k - 34 = -3*u + h for k.
-5
Suppose g + 2*g = -4*f, 2*g = -5*f. Suppose -6*w = -g*w - 24. Solve -w*a - 15 = -3*m, 0 = -m - 0*m - 5*a + 5 for m.
5
Suppose 196 = 100*b - 93*b. Solve 0 = -2*w + 3*g - 20, -3*w + b = -8*w + 2*g for w.
-4
Suppose 3*f + 2*q - 107 = 41, 4*q = 8. Let n be 21/(-49) - f/(-14). Let y = 8 - n. Solve 5*s = 5*d - 40, 0 = 5*s + y*d + 12 - 2 for s.
-5
Let k(p) = -p**3 + 7*p**2 + 16*p + 22. Let h be k(9). Solve -h*m = -3*x + 31, -4*x = -5*x - 2*m - 3 for x.
5
Suppose 3*x + 9 = 5*a, -5 + 2 = -a. Solve 0 = x*u + 2*h + 8, 6*h - 2*h = u - 16 for u.
0
Suppose 0 = 13*f + 20 - 72. Solve 0 + 8 = 4*y - n, -3*n = -2*y + f for y.
2
Suppose -48 = 5*z - 21*z. Solve 0 = -h - z*g + 1, 0 = -4*h - 2*g - 4 - 12 for h.
-5
Let g = 8 + -22. Let u = -9 - g. Solve u*d + f - 12 = 0, d + 2*f = -3 - 0 for d.
3
Suppose 9*m - m = -264. Let w = m - -36. Solve -16 = 2*z + 3*q + w, -q = -5*z - 22 for z.
-5
Suppose f + 5*x = -0*x + 28, -4*f = 4*x - 48. Suppose -5*s - 10*z + 108 = -f*z, 3*z = -s + 32. Solve 5*w - s = 0, -2*w = a - 0*w - 6 for a.
-2
Suppose 0 = 4*i - 14 - 2. Let k = i + -2. Solve 5 = -y - d, -3*y - 25 = k*y - 2*d for y.
-5
Let y be (-4 - (-61)/1) + -2. Let g = y - 55. Solve 9 = v + a - 3*a, g = 3*v + 3*a - 9 for v.
5
Suppose -a - w = 0, 64*w - 59*w = -15. Solve 4*v + 2*q - 4*q = -8, 4*v - a*q + 4 = 0 for v.
-4
Suppose 74*a = 97 + 273. Solve 0 = -z + a*s - 5 - 5, -4*z = 4*s - 32 for z.
5
Let r = -10 + 25. Let t be -1 - 4/((-12)/r). Solve 0 = -2*n - 3*z + 21, t*n + 2*z - 27 = -z for n.
3
Suppose 0 = 237*f - 243*f. Suppose q + 0*q - 3 = f. Let c(a) = a - 4. Let i be c(4). Solve 0 = -b + 2*s, i*s - q*s = -b + 1 for b.
-2
Suppose 4*y - 22 = -5*s - 0*s, -s - 1 = -y. Solve g = -y*p - 1, 0 = -2*g + 4*p - 0 - 2 for g.
-1
Let a(c) = c**2 + 6*c + 3. Let x be 10*((-54)/(-15))/3. Suppose 0 = -y - y - x. Let i be a(y). Solve -2*t = 4*d, i*d - 2*d - 22 = 5*t for t.
-4
Let k be (-8)/(-7)*147/42. Solve -3*b + 14 = -k*h - 6, -5*b = -5*h - 30 for b.
4
Let q(a) be the first derivative of a**2 - 7*a - 1. Let x = -4 + 9. Let d be q(x). Solve d*u = -g + 5*g + 28, -36 = 4*g - 5*u for g.
-4
Suppose 80*v = 82*v - 38. Solve -4*l + k - 11 = 0, 5*l = 2*k - 6*k - v for l.
-3
Let i(p) = 12*p - 7. Let t be i(3). Let x = t - 15. Let y be 0 - (-24)/(6 - 2). Solve r = 4*z - x, 8*z = 3*r + 5*z + y for r.
2
Suppose 26*w = 27*w. Suppose w = -0*a - 4*a - 5*b + 39, 39 = 5*a + 3*b. Solve 3 = -r - f - 2, 2*r + f = -a for r.
-1
Let y = -14 + 10. Let d be 4 + (2 - (6 + y)). Solve -v + 3 = -d*u - 2, 0 = 3*v - 5*u - 1 for v.
-3
Let q = 10 - 6. Suppose 0 = 5*h - q*h + 25. Let y be (h/(-20))/(1/4). Solve 4*c - a - 3 = 5*c, 2*a + y = -3*c for c.
1
Let h be (360/6)/((-3)/2). Let q = 42 + h. Solve 2*i = -3*n + q, -3*i + 0 = 5*n - 2 for i.
4
Suppose -3*p = 2*f, p - 2 = -2*f + 6. Let q be 2/(4 - 20/f). Let s be q/9 + 1/(-3). Solve -2*w = 3*c + 4 - s, -3*c + 2*w = 20 for c.
-4
Suppose -216 = -60*o + 24*o. Solve -4*p = c + o, 3*p - 5*c + 12 = -4 for p.
-2
Let a(i) = i**2 + 14*i - 12. Suppose -l = -3*l + 2. Let f be (l/2)/((-14)/420). Let h be a(f). Solve 2*g - 3*m = -7, -2*m = -h*g + 3*m - 10 for g.
-5
Let p = 189 + -179. Solve 0*c - 2*c - 6 = 0, -2*i - 4*c = p for i.
1
Suppose -14*q - 35 = -21*q. Suppose -q*c + 33 - 2 = 3*y, 0 = -4*y + 2*c - 2. Solve -4*z + 2 = 2*l, -l - y*l - 2 = z for l.
-1
Let y(z) = z - 1. Let j be y(6). Let m be (j - (-1 - -2))/1. Let b(l) = -l**2 - 21*l - 101. Let a be b(-13). Solve -23 = -4*w + a*v, -v = -m*v - 3 for w.
5
Let a = 27 + -21. Let o = 9 - a. Let g(n) = -n**2 - n + 5. Let w be g(0). Solve 0 = k - x - o*x + 20, -k + x = w for k.
0
Let h(k) = 3*k**2 + 5*k - 17. Let u be h(2). Solve -3*z + 1 = 2*c + 2, u*z = -4*c - 3 for c.
-2
Suppose 45 + 27 = 4*s. Suppose -4 = -2*z, 0*w = -4*w + 4*z. Suppose -f - s = -5*c, -2*f + 4 = -0*c - w*c. Solve 4*q - 19 + f = 4*v, 4 = q - 2*v for q.
2
Let p be (-18)/5*7/((-42)/20). Suppose -p = -f - 9. Solve -5*u - 32 = f*s, -u = 5*s - 2*s + 16 for u.
-4
Let a = 210 + -185. Solve 0*y - 2*y - 19 = 3*c, 5*y + 3*c = -a for y.
-2
Let n be (-27)/2*228/(-9). Suppose -g - n = -5*b + g, 71 = b - 3*g. Suppose v + b = 5*v. Solve 5*d - 4*s + v = -2*s, 0 = 5*d + 5*s + 10 for d.
-3
Let t be 1/((4/1)/16). Suppose 4 = -6*u + 40. Solve t*q = 5*f + 35, -5*f - 5*q + 4 + u = 0 for f.
-3
Let f(v) = -2*v**2 - 36*v + 4. Let u be f(-18). Suppose 11*l - 8*l - 48 = 0. Solve -u*i - 2 = -2*n, -l = -4*n + 3*i - 7*i for n.
3
Suppose -5*s + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
.65
Product of -0.8 and 81.9.
-65.52
227*-180.0345
-40867.8315
What is 5 times 172214?
861070
Multiply 151992 and -2.4.
-364780.8
-46*2995763
-137805098
What is the product of -77 and 0.45684?
-35.17668
Calculate -11378009*-0.12.
1365361.08
What is -27 times 32013?
-864351
242.22 times -32.8
-7944.816
0.4*7.7653
3.10612
-41731 times 3.889
-162291.859
-304862*-31.5
9603153
What is 11.5 times 0.384?
4.416
Calculate 1504067*0.5.
752033.5
Work out 501 * -2551.
-1278051
Product of -0.079144 and -65.
5.14436
What is the product of 3411719 and -0.5?
-1705859.5
-2 times 295167.6
-590335.2
What is the product of -9420473 and -28?
263773244
-6389.698 * -0.056
357.823088
What is the product of 2424 and 1793?
4346232
Work out 753.43 * -18.7.
-14089.141
What is -0.08297 times -98.9?
8.205733
-0.4 * 185460017
-74184006.8
What is 4 times 4.401284?
17.605136
What is -32.09113 times -1?
32.09113
Work out 120.4852 * 0.02.
2.409704
0 times -489441
0
What is 9.1666 times -163?
-1494.1558
Calculate 1.2*-12633.
-15159.6
Product of 81 and -429.94.
-34825.14
-9507566 * -10
95075660
What is 0.0238 times 9.71783?
0.231284354
11720493 times -0.3
-3516147.9
Product of 248363261 and 3.
745089783
-699.68 * -115
80463.2
What is the product of -0.08 and 172.526?
-13.80208
-12.52*-1.233
15.43716
Work out -1 * 0.008844941.
-0.008844941
Product of -1.236 and -20317.
25111.812
What is the product of -17103.87 and 5?
-85519.35
Multiply 0.11 and 3272.46.
359.9706
5 * -7963496
-39817480
Calculate -834*0.004034.
-3.364356
Multiply -29761519 and 1.
-29761519
-0.022 times -7103.3
156.2726
What is -1276455 times 4?
-5105820
What is -0.09 times -1441056?
129695.04
1373 * 6625
9096125
-35019*-295.1
10334106.9
-11.5 * -5272261
60631001.5
-41919.7719 * 0.3
-12575.93157
Work out 33.4 * 197511.
6596867.4
1.4906453 times -1
-1.4906453
Calculate -15050*0.02.
-301
-7189.274 * -3
21567.822
What is 24.88 times 126006?
3135029.28
What is the product of 0.018 and -77305?
-1391.49
-1.2 times -30194778
36233733.6
-602 * -0.5018
302.0836
Work out 9.71 * -0.3642.
-3.536382
What is the product of 16 and -438285?
-7012560
-33621 * 83.4
-2803991.4
0.01 * 3542908
35429.08
What is -533450.44 times -1?
533450.44
-1234 times -1394.83
1721220.22
106.4 times -36568
-3890835.2
What is the product of -0.07370668 and -158?
11.64565544
Work out 2.03 * -854.479.
-1734.59237
Multiply 9665.4 and -0.1231.
-1189.81074
Product of -5.457 and 6797.
-37091.229
841 times 27.062
22759.142
24339.467*-1
-24339.467
Calculate -0.027534*-6.302.
0.173519268
16218*3549
57557682
Work out -9 * -2186.7941.
19681.1469
What is -4.792619 times -0.02?
0.09585238
Work out -0.081842 * 4.1.
-0.3355522
1501.8*162
243291.6
-116786 times -309.2
36110231.2
Product of -236215 and 0.12.
-28345.8
Multiply 474306 and -10.01.
-4747803.06
0.32628*0.8029
0.261970212
2078 times -4437
-9220086
Product of -92.4028 and -0.0188.
1.73717264
9703184*8
77625472
-0.2 * -4151586
830317.2
Product of 1 and 961895.
961895
Work out -590.2 * 5.11.
-3015.922
-32.64 times -2973
97038.72
Multiply 4463524 and 6.
26781144
Product of 194 and -170.631.
-33102.414
What is -114160 times -2100?
239736000
Product of -3.23906 and 60.
-194.3436
Work out -3815017 * -0.5.
1907508.5
Product of 294 and 947374.
278527956
0.0501249*-14.7
-0.73683603
0.041122 * -12823
-527.307406
4381*0.036
157.716
Calculate -1361.4*2437.
-3317731.8
0*45.00028
0
-0.2 * -345135061
69027012.2
-0.2095*-430
90.085
What is the product of -29005079 and 1?
-29005079
What is 455851 times 5?
2279255
Work out -0.2 * -1359464.
271892.8
Product of -7132679 and -2.
14265358
-1.51 times 26666
-40265.66
Product of -900 and -7338.
6604200
What is 135856 times 1188?
161396928
-0.8 times 0.067413
-0.0539304
Product of -1.489505 and -0.5.
0.7447525
Work out -0.3 * 293.8782.
-88.16346
What is 1422.9 times -33810?
-48108249
Multiply 11.4 and -199271.
-2271689.4
What is the product of -0.5 and -4460.0736?
2230.0368
Work out 245146 * 0.18.
44126.28
What is -65 times 1673853?
-108800445
What is 39 times -16521504?
-644338656
What is -3763.52 times 33?
-124196.16
0.5 * 1.12948067
0.564740335
Calculate -0.103*-164514.
16944.942
35 times 3157691
110519185
What is the product of 166153 and 2072?
344269016
What is the product of 2206432 and -8?
-17651456
775426.3 times 1
775426.3
Calculate 77.2*29.229.
2256.4788
-5671.4461 * 0
0
12 times 222238
2666856
964*895
862780
-12321913 times -0.1
1232191.3
What is the product of 7404 and 598.3?
4429813.2
What is the product of -0.46 and -3304405?
1520026.3
Product of -0.4 and -14014033.
5605613.2
121 times 7171223
867717983
What is -166437 times -2.6?
432736.2
What is the product of -442061 and -5?
2210305
Multiply 1071720 and -13.
-13932360
0.5*-0.4362851
-0.21814255
-14578208*-3.3
48108086.4
-5734801*5
-28674005
Product of -0.136 and 0.40428.
-0.05498208
Multiply -0.3 and -2.850368.
0.8551104
What is the product of 0.091 and -30237.32?
-2751.59612
What is the product of -0.8180407 and 0?
0
What is the product of -0.3 and -2485.40092?
745.620276
Calculate 0.04*-6.025.
-0.241
What is the product of -315 and 400065?
-126020475
-2452 times -0.2606
638.9912
411.704 times -0.798
-328.539792
-92351.6 times 2
-184703.2
-9*-82081.04
738729.36
Multiply -11288812.2 and 0.3.
-3386643.66
Product of 23213850 and -0.2.
-4642770
43*4383566
188493338
5776452.6 times -0.2
-1155290.52
Work out 1 * -130012943.
-130012943
Multiply 75499257 and 0.5.
37749628.5
35.9858 * 7
251.9006
Product of 614645641 and -0.5.
-307322820.5
Calculate 27*-74102.2.
-2000759.4
-4132813 * -1
4132813
88444785 * 1.3
114978220.5
Product of 0.1 and -0.066290317.
-0.0066290317
Work out 7.984 * 0.1089.
0.8694576
Calculate -98136*-9.408.
923263.488
62355423 times -0.03
-1870662.69
4601.2553*0.3
1380.37659
Work out -104 * 96.5976.
-10046.1504
Product of 1 and 140589329.
140589329
-1445597 * 3
-4336791
Calculate 0.6188*-0.02242.
-0.013873496
-43266877*-3
129800631
What is 47254908 times 5?
236274540
What is the product of -0.1722 and 571.4?
-98.39508
What is the product of 2 and -0.005537783?
-0.011075566
Calculate 3725244*0.2.
745048.8
What is the product of 21.9011 and 5?
109.5055
What is the product of 0.0130868 and 79?
1.0338572
Calculate 0.4174119*-0.1.
-0.04174119
What is the product of -0.1 and -23.1697271?
2.31697271
0.2 times 205430
41086
Calculate -6529106*1.
-6529106
Calculate -0.04702*448.2.
-21.074364
Work out -0.3 * -13.493564.
4.0480692
43.7 * -871
-38062.7
Multiply -86774597 and -0.3.
26032379.1
What is -0.42409 times -3284?
1392.71156
Calculate 1835*3.3532.
6153.122
Multiply 27740 and -203.
-5631220
What is the product of -32214911 and -4?
128859644
999 * -0.16064
-160.47936
Product of 0.5 and -14244981.
-7122490.5
Multiply 9067618 and -5.
-45338090
Work out -0.14 * -2194.6058.
307.244812
Work out -0.4 * -2588683.
1035473.2
Product of 25184 and 3.63.
91417.92
What is -0.04 times -4035749?
161429.96
Work out -4483 * -28470.
127631010
Multiply 1.4 and -95747.
-134045.8
What is the product of 29 and -455754?
-13216866
-300934.13 * 0.5
-150467.065
What is the product of 13400322 and 5?
67001610
Product of 378142 and 181.
68443702
5 * -1502372
-7511860
Calculate -1.39193*0.313.
-0.43567409
What is -44 times -1282170?
56415480
-77 times -80.3163
6184.3551
Product of -29675 and -9153.
271615275
Work out 6 * 25.8334.
155.0004
-164.9 times 101.8079
-16788.12271
Calculate 712765*-1.3.
-926594.5
Multiply -9.6 and 332.31.
-3190.176
-2.55 * 84301
-214967.55
Multiply -25.964546 and 0.
0
-125.24643*-15
1878.69645
-536.70498 times 1.1
-590.375478
Multiply 121775 and -4057.
-494041175
What is the product of 1 and -1824195?
-1824195
-171774 times -2.34
401951.16
What is the product of -5 and -4765202?
23826010
Calculate 2*-0.538776.
-1.077552
What is the product of 5162412 and 0.5?
2581206
-0.1 times 48307.438
-4830.7438
Multiply 2 and -1040209.8.
-2080419.6
What is the product of 6 and 0.08663739?
0.51982434
What is the product of 2 and -1957133?
-3914266
161123*63
10150749
What is the product of 0.08 and -9199.727?
-735.97816
Work out -23110953 * -2.
46221906
Product of 0.357 and -428683.
-153039.831
Product of 0.0421 and -34.05.
-1.433505
Work out 5 * 516636.
2583180
-0.44 times 2782.089
-1224.11916
-22 times 4550263
-100105786
0.875
|
{
"pile_set_name": "DM Mathematics"
}
|
Is 4 a factor of 3336?
True
Is 8584 a multiple of 4?
True
Is 2711 a multiple of 87?
False
Is 156 a factor of 18382?
False
Is 39 a factor of 30498?
True
Is 90 a multiple of 45?
True
Is 17 a factor of 680?
True
Is 57 a factor of 627?
True
Is 15 a factor of 105?
True
Is 2636 a multiple of 61?
False
Does 113 divide 4197?
False
Is 5016 a multiple of 88?
True
Is 16623 a multiple of 32?
False
Does 26 divide 1717?
False
Does 86 divide 1892?
True
Is 17 a factor of 2601?
True
Does 33 divide 645?
False
Does 31 divide 558?
True
Is 26588 a multiple of 5?
False
Is 18 a factor of 504?
True
Does 18 divide 284?
False
Does 17 divide 323?
True
Is 38 a factor of 14402?
True
Is 492 a multiple of 5?
False
Does 66 divide 3564?
True
Does 7 divide 4753?
True
Is 90 a factor of 5139?
False
Does 163 divide 13637?
False
Is 738 a multiple of 4?
False
Is 4 a factor of 261?
False
Is 111 a factor of 2025?
False
Is 61 a factor of 8784?
True
Does 14 divide 41846?
True
Does 150 divide 18957?
False
Is 23 a factor of 552?
True
Does 97 divide 39479?
True
Does 47 divide 954?
False
Is 1096 a multiple of 2?
True
Is 81 a factor of 41553?
True
Does 57 divide 720?
False
Is 45 a factor of 1710?
True
Does 23 divide 1229?
False
Is 1104 a multiple of 92?
True
Does 27 divide 637?
False
Does 34 divide 102?
True
Is 4233 a multiple of 51?
True
Is 11203 a multiple of 14?
False
Is 173 a multiple of 4?
False
Does 28 divide 6636?
True
Is 17 a factor of 4539?
True
Is 35599 a multiple of 97?
True
Is 3177 a multiple of 7?
False
Does 16 divide 12576?
True
Does 10 divide 120264?
False
Is 4419 a multiple of 20?
False
Is 74600 a multiple of 30?
False
Does 38 divide 682?
False
Is 5959 even?
False
Is 44 a factor of 992?
False
Is 9 a factor of 3789?
True
Does 69 divide 751?
False
Is 21 a factor of 11748?
False
Is 141 a multiple of 4?
False
Is 64 a factor of 23040?
True
Is 781 a multiple of 33?
False
Is 356 a multiple of 6?
False
Does 9 divide 54216?
True
Does 2 divide 53?
False
Is 173 a factor of 10202?
False
Is 319 a factor of 28710?
True
Is 29904 a multiple of 21?
True
Is 264 a multiple of 7?
False
Does 32 divide 1454?
False
Is 7 a factor of 7602?
True
Does 7 divide 29378?
False
Is 8 a factor of 64?
True
Is 42 a factor of 282?
False
Does 7 divide 7295?
False
Does 16 divide 5564?
False
Does 10 divide 170?
True
Is 47 a factor of 470?
True
Does 99 divide 83889?
False
Is 2599 a multiple of 15?
False
Does 101 divide 1010?
True
Is 130 a factor of 50830?
True
Is 18260 a multiple of 55?
True
Is 35 a factor of 131?
False
Is 21 a factor of 3556?
False
Is 35507 a multiple of 38?
False
Does 26 divide 728?
True
Does 28 divide 1525?
False
Is 4410 a multiple of 18?
True
Does 10 divide 92270?
True
Does 12 divide 47422?
False
Is 219 a factor of 14317?
False
Is 4453 a multiple of 61?
True
Is 7 a factor of 184?
False
Is 260 a multiple of 10?
True
Does 3 divide 159?
True
Is 3841 a multiple of 7?
False
Is 23 a factor of 6901?
False
Is 16455 a multiple of 12?
False
Does 12 divide 1018?
False
Is 24 a factor of 1643?
False
Is 132 a multiple of 6?
True
Is 25149 a multiple of 18?
False
Does 7 divide 98647?
False
Does 14 divide 10360?
True
Is 13 a factor of 2795?
True
Is 3180 a multiple of 60?
True
Is 34 a factor of 1075?
False
Does 22 divide 11212?
False
Is 55 a multiple of 3?
False
Is 29 a factor of 3857?
True
Is 90 a multiple of 15?
True
Is 74376 a multiple of 9?
True
Is 40 a factor of 9160?
True
Is 8305 a multiple of 11?
True
Is 97750 a multiple of 25?
True
Does 59 divide 4838?
True
Does 212 divide 1484?
True
Is 5142 a multiple of 63?
False
Does 4 divide 3760?
True
Is 27560 a multiple of 265?
True
Is 37 a factor of 4565?
False
Is 274 a factor of 28590?
False
Is 8 a factor of 498?
False
Does 66 divide 4422?
True
Is 52 a factor of 15184?
True
Is 35721 a multiple of 27?
True
Is 13280 a multiple of 418?
False
Is 12 a factor of 772?
False
Is 1872 a multiple of 30?
False
Does 127 divide 6261?
False
Is 98 a factor of 392?
True
Does 22 divide 36784?
True
Does 4 divide 232?
True
Is 45442 a multiple of 11?
False
Is 7743 a multiple of 29?
True
Is 239 a multiple of 7?
False
Does 57 divide 7809?
True
Is 704 a multiple of 22?
True
Is 8034 a multiple of 129?
False
Does 31 divide 799?
False
Is 192 a factor of 23604?
False
Is 32934 a multiple of 15?
False
Does 32 divide 1216?
True
Is 4 a factor of 1440?
True
Is 3 a factor of 425?
False
Does 35 divide 773?
False
Is 11 a factor of 2306?
False
Is 5 a factor of 2232?
False
Does 9 divide 13374?
True
Does 5 divide 13017?
False
Is 62 a factor of 12028?
True
Is 37970 a multiple of 54?
False
Does 30 divide 60?
True
Is 1512 a multiple of 63?
True
Is 3788 a multiple of 6?
False
Does 39 divide 34827?
True
Is 2175 a multiple of 10?
False
Does 33 divide 551?
False
Does 16 divide 454?
False
Does 20 divide 1066?
False
Is 37538 a multiple of 19?
False
Is 156 a factor of 7437?
False
Is 200 a multiple of 14?
False
Is 77762 a multiple of 255?
False
Is 1373 a multiple of 137?
False
Does 12 divide 67?
False
Does 33 divide 807?
False
Does 59 divide 472?
True
Is 1275 a multiple of 85?
True
Does 2 divide 6980?
True
Is 9 a factor of 10507?
False
Is 792 a multiple of 8?
True
Does 7 divide 294?
True
Is 1445 a multiple of 17?
True
Does 118 divide 44722?
True
Is 6 a factor of 253?
False
Is 4154 a multiple of 62?
True
Is 41 a factor of 4510?
True
Is 3 a factor of 1336?
False
Does 49 divide 26852?
True
Does 33 divide 4131?
False
Does 21 divide 462?
True
Is 10 a factor of 2285?
False
Is 9028 a multiple of 122?
True
Is 936 a multiple of 52?
True
Is 7285 a multiple of 7?
False
Is 75 a factor of 44521?
False
Is 38 a factor of 1824?
True
Is 115 a factor of 11270?
True
Does 21 divide 29463?
True
Is 39382 a multiple of 31?
False
Is 9492 a multiple of 12?
True
Does 29 divide 11107?
True
Is 81 a multiple of 15?
False
Does 14 divide 5012?
True
Is 1565 a multiple of 25?
False
Is 1018 a multiple of 100?
False
Is 14 a factor of 924?
True
Does 15 divide 12617?
False
Is 6 a factor of 6558?
True
Is 14 a factor of 34549?
False
Does 3 divide 3304?
False
Is 56 a factor of 280?
True
Does 4 divide 1148?
True
Is 14 a factor of 21770?
True
Is 96 a factor of 12000?
True
Does 45 divide 25650?
True
Is 14015 even?
False
Does 41 divide 516?
False
Does 23 divide 65?
False
Is 21 a factor of 147?
True
Does 10 divide 3050?
True
Is 2587 a multiple of 20?
False
Does 65 divide 977?
False
Is 29 a factor of 99997?
False
Is 10432 a multiple of 12?
False
Is 6266 a multiple of 51?
False
Does 5 divide 2512?
False
Is 332 a multiple of 4?
True
Is 12 a factor of 11988?
True
Is 81491 a multiple of 19?
True
Is 23 a factor of 759?
True
Is 1569 a multiple of 2?
False
Does 4 divide 67?
False
Does 19 divide 84?
False
Is 194 a factor of 9118?
True
Is 122 a factor of 2080?
False
Is 1759 a multiple of 3?
False
Does 34 divide 4614?
False
Is 7011 a multiple of 9?
True
Is 1368 a multiple of 38?
True
Is 661 a multiple of 25?
False
Is 9771 a multiple of 23?
False
Does 15 divide 1935?
True
Is 1088 a multiple of 32?
True
Does 15 divide 18747?
False
Does 57 divide 16652?
False
Does 2 divide 8147?
False
Is 32326 a multiple of 38?
False
Does 40 divide 8648?
False
Is 184 a factor of 6072?
True
Is 38 a factor of 1194?
False
Does 13 divide 3081?
True
Is 6073 a multiple of 45?
False
Does 113 divide 12317?
True
Does 3 divide 3744?
True
Is 9 a factor of 585?
True
Is 9795 a multiple of 15?
True
Does 5 divide 2215?
True
Does 8 divide 409?
False
Is 413 a multiple of 62?
False
Is 8 a factor of 89?
False
Is 16 a factor of 508?
False
Is 65 a factor of 323?
False
Does 13 divide 13?
True
Does 143 divide 113971?
True
Does 5 divide 28809?
False
Is 1274 a multiple of 91?
True
Is 198 a multiple of 3?
True
Is 29988 a multiple of 153?
True
Does 6 divide 4682?
False
Does 51 divide 6213?
False
Is 24043 a multiple of 33?
False
Is 1053 even?
False
Is 2 a factor of 2?
True
Does 279 divide 15066?
True
Is 20 a factor of 568?
False
Is 9 a factor of 35?
False
Does 71 divide 118934?
False
Is 54 a factor of 2214?
True
Does 131 divide 4707?
False
Is 35710 a multiple of 90?
False
Is 14784 a multiple of 308?
True
Is 19 a factor of 632?
False
Is 3 a factor of 122?
False
Does 16 divide 17456?
True
Is 81 a factor of 1782?
True
Is 11 a factor of 142?
False
Is 18108 a multiple of 25?
False
Does 16 divide 19664?
True
Is 11
|
{
"pile_set_name": "DM Mathematics"
}
|
Round -1261 to the nearest 100.
-1300
What is -0.000021925 rounded to six dps?
-0.000022
What is 25299 rounded to the nearest one hundred thousand?
0
What is 0.07797 rounded to 3 dps?
0.078
What is 3.2 rounded to the nearest 10?
0
Round 1.3274 to the nearest integer.
1
What is -0.25 rounded to 0 dps?
0
Round -0.0000463432 to five dps.
-0.00005
Round 9.53 to zero dps.
10
What is 0.000000475 rounded to seven decimal places?
0.0000005
What is 0.9522 rounded to one decimal place?
1
Round 0.00478 to three decimal places.
0.005
Round 0.46157 to three dps.
0.462
Round 3704.5 to the nearest one hundred.
3700
Round 980650 to the nearest 1000.
981000
Round 0.288804 to 3 dps.
0.289
What is -99100 rounded to the nearest 1000?
-99000
What is -0.00031808 rounded to 6 decimal places?
-0.000318
Round 308.4 to the nearest ten.
310
What is 15587.5 rounded to the nearest one hundred?
15600
Round 0.001634 to 4 decimal places.
0.0016
What is -0.000146 rounded to four decimal places?
-0.0001
Round -790000 to the nearest ten thousand.
-790000
What is -0.00000341 rounded to 7 decimal places?
-0.0000034
Round 6030000 to the nearest 100000.
6000000
What is 257395000 rounded to the nearest 1000000?
257000000
Round -39352500 to the nearest 100000.
-39400000
Round 0.1908 to two decimal places.
0.19
What is -0.526 rounded to 1 dp?
-0.5
What is 1456.85 rounded to the nearest one hundred?
1500
Round 7753 to the nearest 1000.
8000
Round -0.58991 to 1 decimal place.
-0.6
What is -19593000 rounded to the nearest one hundred thousand?
-19600000
What is 0.0014523 rounded to five decimal places?
0.00145
Round -10655 to the nearest one thousand.
-11000
What is 1470000 rounded to the nearest one million?
1000000
Round -131280 to the nearest one thousand.
-131000
Round -5683100 to the nearest one hundred thousand.
-5700000
What is 1.28179 rounded to 2 decimal places?
1.28
What is 0.00004551 rounded to 6 dps?
0.000046
What is -4021.59 rounded to the nearest one hundred?
-4000
Round 1204990 to the nearest one hundred thousand.
1200000
Round 2.93616 to the nearest integer.
3
Round 1332200 to the nearest ten thousand.
1330000
What is 0.00000636 rounded to five decimal places?
0.00001
What is 0.00002835 rounded to five decimal places?
0.00003
What is -0.000382 rounded to 5 decimal places?
-0.00038
Round -0.00000043 to seven dps.
-0.0000004
Round 17517 to the nearest 1000.
18000
Round 0.000298589 to six decimal places.
0.000299
Round 12977.9 to the nearest one thousand.
13000
Round 82.65 to the nearest 10.
80
What is -0.00070566 rounded to four decimal places?
-0.0007
What is 64700 rounded to the nearest one thousand?
65000
Round 25.576 to the nearest integer.
26
What is -14958.9 rounded to the nearest 100?
-15000
Round -0.023412 to 4 dps.
-0.0234
Round 0.0000109 to six dps.
0.000011
Round -0.009961 to four dps.
-0.01
What is -0.00003596 rounded to five dps?
-0.00004
What is 60.15 rounded to the nearest integer?
60
Round -57495600 to the nearest 100000.
-57500000
Round -1.28 to the nearest 10.
0
What is 2.157 rounded to 1 dp?
2.2
Round -4510000 to the nearest one million.
-5000000
What is 0.00002708 rounded to 6 dps?
0.000027
What is -0.009321 rounded to three dps?
-0.009
What is 0.65209 rounded to 1 decimal place?
0.7
Round -0.0000016371 to seven decimal places.
-0.0000016
What is 31010 rounded to the nearest 10000?
30000
What is -98637000 rounded to the nearest one million?
-99000000
Round 29.1757 to 1 dp.
29.2
Round -0.000009905 to seven dps.
-0.0000099
Round 0.0623 to two decimal places.
0.06
What is -0.000040155 rounded to 6 dps?
-0.00004
Round -0.002227 to four decimal places.
-0.0022
What is -0.116 rounded to 1 dp?
-0.1
What is 0.00000522 rounded to six dps?
0.000005
Round -15.562 to one dp.
-15.6
Round -278084 to the nearest 1000.
-278000
Round -747.55 to the nearest ten.
-750
Round -28.506 to 1 decimal place.
-28.5
What is 0.0011425 rounded to 4 decimal places?
0.0011
What is 27.08 rounded to the nearest integer?
27
What is -61495000 rounded to the nearest one million?
-61000000
What is -0.495 rounded to zero decimal places?
0
What is -966370 rounded to the nearest 10000?
-970000
Round -0.000291964 to 5 decimal places.
-0.00029
What is 19.9479 rounded to 0 decimal places?
20
Round -0.0009393 to 4 dps.
-0.0009
What is -73700000 rounded to the nearest 1000000?
-74000000
What is 0.00000525 rounded to six dps?
0.000005
What is -1209.1 rounded to the nearest 100?
-1200
Round 2.0796 to two dps.
2.08
Round -0.9299 to 2 dps.
-0.93
Round -307.3 to the nearest one hundred.
-300
What is 34.161 rounded to the nearest integer?
34
Round 604000 to the nearest one hundred thousand.
600000
Round 0.0019626 to 5 decimal places.
0.00196
Round -0.00135056 to 5 dps.
-0.00135
Round 0.017342 to 4 decimal places.
0.0173
What is 0.0019685 rounded to four decimal places?
0.002
Round -0.127764 to three dps.
-0.128
What is 6.14 rounded to 1 dp?
6.1
Round -0.00709 to three decimal places.
-0.007
What is -18140 rounded to the nearest 1000?
-18000
Round -999 to the nearest 100.
-1000
What is 0.011822 rounded to 3 dps?
0.012
What is 999200 rounded to the nearest ten thousand?
1000000
What is 761000 rounded to the nearest 100000?
800000
What is -3912300 rounded to the nearest 100000?
-3900000
Round 0.57 to the nearest integer.
1
Round 0.003235 to 4 dps.
0.0032
Round -24.522 to one dp.
-24.5
What is -0.04972 rounded to three dps?
-0.05
Round -686200 to the nearest 10000.
-690000
What is -59823.3 rounded to the nearest one thousand?
-60000
Round 2209 to the nearest 1000.
2000
What is 76.346 rounded to the nearest integer?
76
Round 3438.6 to the nearest one hundred.
3400
Round 90.3 to 0 dps.
90
What is -142.07 rounded to the nearest integer?
-142
What is 181.49 rounded to zero decimal places?
181
Round -2002.2 to the nearest one hundred.
-2000
Round 61900 to the nearest 1000.
62000
Round 13394 to the nearest one hundred.
13400
What is 0.00007682 rounded to 4 decimal places?
0.0001
Round -0.0657 to 2 dps.
-0.07
Round 743800 to the nearest ten thousand.
740000
Round -0.0003596 to four decimal places.
-0.0004
What is 315430000 rounded to the nearest 1000000?
315000000
What is -0.00034768 rounded to six decimal places?
-0.000348
Round 0.0010483 to three decimal places.
0.001
Round -0.37597 to 3 dps.
-0.376
Round 1629 to the nearest 100.
1600
Round 0.000004991 to seven decimal places.
0.000005
Round -7085000 to the nearest 1000000.
-7000000
What is -52009000 rounded to the nearest one hundred thousand?
-52000000
Round -0.03569 to three decimal places.
-0.036
What is 0.005877 rounded to three decimal places?
0.006
Round -76600 to the nearest one hundred thousand.
-100000
What is -752300 rounded to the nearest ten thousand?
-750000
Round 16908 to the nearest 1000.
17000
Round -3400.5 to the nearest 10.
-3400
What is -65304 rounded to the nearest 1000?
-65000
Round -0.0000227 to 4 decimal places.
0
Round -361300 to the nearest one hundred thousand.
-400000
What is -507500 rounded to the nearest 10000?
-510000
What is -0.0002607 rounded to 4 dps?
-0.0003
What is -37958 rounded to the nearest one hundred?
-38000
Round -0.0000551 to five dps.
-0.00006
Round -600 to the nearest 10.
-600
What is 1460 rounded to the nearest one thousand?
1000
What is 0.001794 rounded to 4 dps?
0.0018
What is 2011000 rounded to the nearest one hundred thousand?
2000000
What is -0.0000251 rounded to six decimal places?
-0.000025
What is 327500 rounded to the nearest ten thousand?
330000
Round 0.0000017 to five dps.
0
What is -4139900 rounded to the nearest one million?
-4000000
What is -0.000218848 rounded to 6 dps?
-0.000219
Round -4.8498 to the nearest integer.
-5
What is -20180 rounded to the nearest one thousand?
-20000
Round -10100000 to the nearest one million.
-10000000
Round -140.883 to the nearest integer.
-141
What is 50310 rounded to the nearest one thousand?
50000
What is -0.01159 rounded to 3 decimal places?
-0.012
What is 730000 rounded to the nearest one hundred thousand?
700000
Round 95400 to the nearest 10000.
100000
What is -671.6 rounded to the nearest 10?
-670
What is -6414.6 rounded to the nearest one hundred?
-6400
What is 209860000 rounded to the nearest one million?
210000000
What is -0.00046467 rounded to five decimal p
|
{
"pile_set_name": "DM Mathematics"
}
|
149, 389, 56093
What are the prime factors of 2976454959?
3, 4481, 221413
What are the prime factors of 1440225551?
53, 1031, 26357
List the prime factors of 1288441840.
2, 5, 7, 31, 74219
What are the prime factors of 64089409?
64089409
What are the prime factors of 3322631869?
55229, 60161
What are the prime factors of 92291032?
2, 11536379
List the prime factors of 2271684722.
2, 1135842361
List the prime factors of 53125678.
2, 26562839
What are the prime factors of 355757834?
2, 43, 4136719
List the prime factors of 59630111.
547, 109013
List the prime factors of 2990069843.
19, 479, 328543
What are the prime factors of 2777955303?
3, 53, 83, 210499
List the prime factors of 20760201.
3, 7, 11, 29, 1033
List the prime factors of 465108505.
5, 19, 59, 82981
List the prime factors of 4264268419.
43, 1033, 96001
List the prime factors of 1831997448.
2, 3, 25444409
List the prime factors of 75481900.
2, 5, 13, 31, 1873
What are the prime factors of 3669839186?
2, 13, 311, 453851
What are the prime factors of 6428011680?
2, 3, 5, 101, 193, 229
What are the prime factors of 3754345183?
3754345183
What are the prime factors of 1306638677?
3347, 390391
What are the prime factors of 252286808?
2, 233, 135347
List the prime factors of 244083725.
5, 263, 37123
List the prime factors of 3306760013.
17047, 193979
What are the prime factors of 38835577?
11, 3530507
List the prime factors of 325063720.
2, 5, 8126593
List the prime factors of 2463401358.
2, 3, 11, 12441421
What are the prime factors of 21609792?
2, 3, 37517
What are the prime factors of 67545031?
29, 103, 22613
What are the prime factors of 2070507?
3, 751, 919
What are the prime factors of 940311664?
2, 58769479
What are the prime factors of 225431155?
5, 43, 1048517
List the prime factors of 347694917.
347694917
List the prime factors of 302814907.
302814907
List the prime factors of 127406620.
2, 5, 11, 761
List the prime factors of 591780202.
2, 13, 23, 76123
List the prime factors of 360648437.
29, 47, 264599
What are the prime factors of 355956917?
355956917
List the prime factors of 88910030.
2, 5, 11, 673, 1201
List the prime factors of 16829138.
2, 1867, 4507
List the prime factors of 510531866.
2, 13, 19635841
List the prime factors of 95108145.
3, 5, 11, 113, 5101
What are the prime factors of 111533812?
2, 13, 593, 3617
What are the prime factors of 4033190?
2, 5, 7, 8231
What are the prime factors of 222037640?
2, 5, 11, 504631
List the prime factors of 1417920444.
2, 3, 727, 18059
List the prime factors of 303477453.
3, 271, 124427
What are the prime factors of 270625919?
270625919
List the prime factors of 1111931301.
3, 13, 1511, 18869
What are the prime factors of 739867572?
2, 3, 20551877
What are the prime factors of 10712483?
10712483
List the prime factors of 985640097.
3, 13, 419, 60317
What are the prime factors of 711857987?
127, 5605181
What are the prime factors of 501417437?
501417437
What are the prime factors of 171176428?
2, 607, 70501
What are the prime factors of 5043577?
7, 11, 17, 3853
List the prime factors of 3307821543.
3, 13, 3141331
What are the prime factors of 113146271?
7, 17, 950809
What are the prime factors of 146583991?
23, 6373217
What are the prime factors of 46485535?
5, 883, 10529
List the prime factors of 516102092.
2, 11, 19, 127, 4861
What are the prime factors of 1083618?
2, 3, 6689
List the prime factors of 21159450.
2, 3, 5, 13, 3617
List the prime factors of 515115796.
2, 13, 839, 11807
List the prime factors of 52250257.
29, 1801733
What are the prime factors of 59134452?
2, 3, 13, 2243
List the prime factors of 44766681.
3, 14922227
What are the prime factors of 1918483186?
2, 30011, 31963
List the prime factors of 17918219.
11, 23, 70823
What are the prime factors of 4343279036?
2, 229, 1223, 3877
List the prime factors of 66417964.
2, 16604491
What are the prime factors of 1359303677?
1359303677
What are the prime factors of 313379122?
2, 7, 17, 19, 37, 1873
List the prime factors of 3070025316.
2, 3, 85278481
What are the prime factors of 3807184466?
2, 1903592233
What are the prime factors of 142408013?
11, 12946183
List the prime factors of 159578347.
23, 6938189
What are the prime factors of 23050681?
3001, 7681
What are the prime factors of 341372815?
5, 7, 227, 42967
List the prime factors of 276503642.
2, 138251821
What are the prime factors of 1631219442?
2, 3, 31, 569, 15413
What are the prime factors of 1426215068?
2, 17, 2609, 8039
What are the prime factors of 2003655184?
2, 19, 6590971
What are the prime factors of 7160437891?
113, 251, 252457
What are the prime factors of 86533146?
2, 3, 7, 229, 2999
What are the prime factors of 59623667?
433, 137699
What are the prime factors of 1229177292?
2, 3, 7, 313, 46751
List the prime factors of 313689847.
23, 2963, 4603
List the prime factors of 306134895.
3, 5, 11, 17, 109139
List the prime factors of 927515133.
3, 31, 181, 18367
What are the prime factors of 321710458?
2, 1361, 118189
List the prime factors of 50986030.
2, 5, 59, 103, 839
List the prime factors of 4591599.
3, 29, 89, 593
What are the prime factors of 1790942752?
2, 55966961
What are the prime factors of 1024759277?
349, 2936273
List the prime factors of 27749218.
2, 7, 1982087
List the prime factors of 1060037331.
3, 353345777
What are the prime factors of 431295128?
2, 11, 79, 62039
List the prime factors of 271676860.
2, 5, 7, 13, 113, 1321
What are the prime factors of 1059095099?
23, 113, 407501
What are the prime factors of 18381108?
2, 3, 73, 20983
List the prime factors of 205383854.
2, 13, 103, 271, 283
List the prime factors of 15546741.
3, 7, 740321
What are the prime factors of 8349849?
3, 337, 2753
What are the prime factors of 2181838690?
2, 5, 223, 978403
What are the prime factors of 367816724?
2, 11, 8359471
What are the prime factors of 93112148?
2, 41, 59, 9623
What are the prime factors of 90156162?
2, 3, 593, 25339
What are the prime factors of 4890289176?
2, 3, 827, 82129
List the prime factors of 116025076.
2, 71, 408539
What are the prime factors of 1477854684?
2, 3, 367, 111857
What are the prime factors of 232426811?
232426811
What are the prime factors of 46480388?
2, 29, 41, 337
What are the prime factors of 145135507?
11, 1199467
What are the prime factors of 152783856?
2, 3, 317, 3347
What are the prime factors of 8040483228?
2, 3, 1117, 599857
List the prime factors of 76326627.
3, 13, 23, 85091
What are the prime factors of 335028773?
335028773
What are the prime factors of 436822646?
2, 13, 16800871
List the prime factors of 3550097426.
2, 23, 77176031
What are the prime factors of 7529512028?
2, 109, 1579, 10937
List the prime factors of 565791569.
7, 17, 4754551
List the prime factors of 1424525253.
3, 61, 431, 18061
List the prime factors of 83553226.
2, 71, 588403
List the prime factors of 30992813.
607, 51059
What are the prime factors of 3071269008?
2, 3, 1163, 6113
List the prime factors of 152042631.
3, 13, 31, 67, 1877
List the prime factors of 1150683621.
3, 383561207
List the prime factors of 46382400.
2, 3, 5, 3221
What are the prime factors of 5257625810?
2, 5, 525762581
What are the prime factors of 55438359?
3, 18479453
List the prime factors of 526024504.
2, 29, 43, 67, 787
What are the prime factors of 82779155?
5, 16555831
What are the prime factors of 5000677059?
3, 7, 149, 1598171
What are the prime factors of 88670939?
7, 601, 3011
List the prime factors of 637723399.
637723399
List the prime factors of 2319990896.
2, 19, 31, 173, 1423
What are the prime factors of 59994803?
11, 181, 30133
What are the prime factors of 94546908?
2, 3, 101, 26003
List the prime factors of 2193624647.
2193624647
What are the prime factors of 1235012748?
2, 3, 102917729
List the prime factors of 1190711001.
3, 149, 2663783
List the prime factors of 5251395.
3, 5, 350093
What are the prime factors of 1203709840?
2, 5, 15046373
What are the prime factors of 103227096?
2, 3, 7, 191, 3217
What are the prime factors of 1606469285?
5, 19, 16910203
What are the prime factors of 702619796?
2, 175654949
What are the prime factors of 464352174?
2, 3, 11, 13, 13877
What are the prime factors of 173804072?
2, 13, 127, 13159
What are the prime factors of 210030295?
5, 241, 1742
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Collect the terms in -107603 + 107603 + 9*s.
9*s
Collect the terms in -1556*a**2 - 284*a**3 + 1556*a**2.
-284*a**3
Collect the terms in 4 - 2 + 2303*n**3 - 2314*n**3.
-11*n**3 + 2
Collect the terms in -44*r - 10*r + 15*r - 62*r.
-101*r
Collect the terms in 112*j - 39*j - 112*j**2 - 36*j - 37*j.
-112*j**2
Collect the terms in -409 + 409 + 82*w**2 - 38*w**2.
44*w**2
Collect the terms in -86*n**3 - 243*n**3 + 326*n**3.
-3*n**3
Collect the terms in 354*h - 4*h - 328*h - 24*h.
-2*h
Collect the terms in 2240*n**3 - 1119*n**3 - 1129*n**3.
-8*n**3
Collect the terms in -269*n - 193*n + 456*n - 149*n.
-155*n
Collect the terms in -v**2 + 0*v - 2*v - 5*v + 7*v.
-v**2
Collect the terms in -24*s + 161*s - 40*s + 2.
97*s + 2
Collect the terms in -7029*i - 23*i - 4387*i.
-11439*i
Collect the terms in 39*l**2 - 31*l + 98*l - 34*l - 36*l + 22*l**2.
61*l**2 - 3*l
Collect the terms in -38*y**3 - 34*y**3 - 52*y**3 + 135*y**3.
11*y**3
Collect the terms in 16*x + 5*x - 2*x - 8*x + 13*x + 2*x.
26*x
Collect the terms in -60 - 48 - u**2 - 55 + 175 - 42.
-u**2 - 30
Collect the terms in -8535*o**2 - 8533*o**2 + 17068*o**2 + 109*o**3.
109*o**3
Collect the terms in 2602*f**3 + 2618*f**3 - 5244*f**3 + 5*f - 5*f.
-24*f**3
Collect the terms in 2 + 169*s - 35*s + 85*s - 89*s**2.
-89*s**2 + 219*s + 2
Collect the terms in 30289*z**2 - 15141*z**2 - 15148*z**2 - 4*z**3.
-4*z**3
Collect the terms in -2607*d**3 - 32*d**3 + 51*d - 51*d.
-2639*d**3
Collect the terms in -2*w**2 - 121 + 49 + 72 + 23*w.
-2*w**2 + 23*w
Collect the terms in -134*p**3 - 5 - 9*p + 5 + 9*p - 10*p.
-134*p**3 - 10*p
Collect the terms in 573*t - 325*t - 247*t.
t
Collect the terms in 10205*t + 318*t**3 - 10205*t.
318*t**3
Collect the terms in -2 + 1603*o - 1 + 2*o**2 - 4110*o.
2*o**2 - 2507*o - 3
Collect the terms in 156*o**2 - 222264*o + 61*o**2 + 222264*o.
217*o**2
Collect the terms in -43*j**2 + 86*j**2 - 38*j**2 - 7*j.
5*j**2 - 7*j
Collect the terms in -2489*q + 2489*q - 255*q**2.
-255*q**2
Collect the terms in u - 70*u**3 + 290*u**3 + 18*u**3 + 124*u**3.
362*u**3 + u
Collect the terms in 88*s**3 + 59*s**3 + 20*s**3 - 20*s**3 + 20*s**3.
167*s**3
Collect the terms in -8*g + 1831 + 1794 - 3625.
-8*g
Collect the terms in 44*s**2 - 3986*s**3 - 44*s**2.
-3986*s**3
Collect the terms in -2900*n**3 + 7055*n**3 + 4381*n**3.
8536*n**3
Collect the terms in 19712*b**2 - b - 19709*b**2 - 2*b.
3*b**2 - 3*b
Collect the terms in d + 9 - 297817*d**2 - d + 297815*d**2.
-2*d**2 + 9
Collect the terms in 1638*h**3 + 1728*h**3 - 90*h**3 - 3*h + 3*h.
3276*h**3
Collect the terms in -3*v**2 - 21555670 + 21555670.
-3*v**2
Collect the terms in 7*k - 64 + 268*k**2 + 64.
268*k**2 + 7*k
Collect the terms in 138 - 18*r - 256 + 118.
-18*r
Collect the terms in 37*a - 26 - 15 + 41.
37*a
Collect the terms in 2669*r**3 + 5*r**2 - 2*r**2 - 2673*r**3 - 3*r**2.
-4*r**3
Collect the terms in 102*l + 27*l**2 - 14*l**2 - 11*l**2 - 9.
2*l**2 + 102*l - 9
Collect the terms in 263864*j**3 - 131899*j**3 - 131963*j**3.
2*j**3
Collect the terms in 4453 - 8914 - 13*x**3 + 4461.
-13*x**3
Collect the terms in -n**3 + 617574*n**2 + 6*n**3 - 2*n**3 - 617574*n**2.
3*n**3
Collect the terms in 912 - 413 + 48*y - 499.
48*y
Collect the terms in -56*l - 225*l**2 - 108*l + 164*l - 75*l**2.
-300*l**2
Collect the terms in -20*g + 45*g - 175 - 23*g.
2*g - 175
Collect the terms in -105*a**3 + 567*a**2 + 111*a**3 - 567*a**2.
6*a**3
Collect the terms in -637*l**3 - 731*l**3 + 2137*l**3 - 679*l**3.
90*l**3
Collect the terms in -1439*b**3 + 4282*b**3 - 1429*b**3 - 1435*b**3.
-21*b**3
Collect the terms in -280*y**3 + 70*y**3 + 70*y**3 + 71*y**3 + 68*y**3.
-y**3
Collect the terms in 1 - 2 - 2 - 13*k + 1 + 0.
-13*k - 2
Collect the terms in 21*i**2 - 370*i + 370*i - 13 + 11*i**2.
32*i**2 - 13
Collect the terms in -579*q**2 - 977 + 494 + 582*q**2 + 483.
3*q**2
Collect the terms in -2*x**2 + 8*x**2 + 462*x**3 + 8*x**2 + 831*x**3.
1293*x**3 + 14*x**2
Collect the terms in 48*k - 90*k + 44*k - 123.
2*k - 123
Collect the terms in 176*d + 205*d - 381*d - 520*d**2.
-520*d**2
Collect the terms in -79*p**3 + 874*p**3 + 532*p**3.
1327*p**3
Collect the terms in 1145*b**2 + 1327*b**2 - 2130*b**2.
342*b**2
Collect the terms in -7*y - 212*y**3 + 74*y**2 - 12*y - 76*y**2.
-212*y**3 - 2*y**2 - 19*y
Collect the terms in -377*a**3 - 5*a + 7*a + 913*a**3 - 2*a.
536*a**3
Collect the terms in 24 + 36*l**2 - 4*l**2 - 38 + 14.
32*l**2
Collect the terms in 105*p + 59*p + 103*p + 101*p - 370*p.
-2*p
Collect the terms in 2*v + 35*v**2 - 2*v - 2633336 + 2633337.
35*v**2 + 1
Collect the terms in 41*v**2 + 187*v**2 - 76*v**2.
152*v**2
Collect the terms in -67 + f**3 + 141 - 218 + 144.
f**3
Collect the terms in -18 - 2*o + 63 - 5 + 103.
-2*o + 143
Collect the terms in 165*l - 3 + 3 - 54*l - 45*l.
66*l
Collect the terms in 46 - 95 - 1347*m**3 + 1336*m**3 + 49.
-11*m**3
Collect the terms in 304*a**2 + 79*a**2 - 107*a**2.
276*a**2
Collect the terms in -6 - 96*v + 2*v**2 + 7 - 1.
2*v**2 - 96*v
Collect the terms in -61*r + 79*r + 9*r + 3*r.
30*r
Collect the terms in -8 + 27 - 19 + 12*j + 19*j - 23*j.
8*j
Collect the terms in 30*i - 12*i - 16*i - 34*i**2 + 48*i**2.
14*i**2 + 2*i
Collect the terms in -334*d - 323*d - 334*d - 18*d**2 + 991*d.
-18*d**2
Collect the terms in -347*i**3 - 25*i**3 - 179*i**3 - 479*i**3.
-1030*i**3
Collect the terms in -91781*x - 17202*x + 20202*x.
-88781*x
Collect the terms in 4*l - l + 9*l + 14*l - 42*l.
-16*l
Collect the terms in 13110*g**2 - 6562*g**2 - 6561*g**2.
-13*g**2
Collect the terms in 849*w**2 + 849*w**2 + 852*w**2 + 848*w**2 - 3399*w**2.
-w**2
Collect the terms in 181*n + 267*n - 36*n - 67*n.
345*n
Collect the terms in -77*s**3 + 231*s**3 - 77*s**3 - 78*s**3 - 13*s**2.
-s**3 - 13*s**2
Collect the terms in -24 + 5*r - 8*r + 24 + 10*r**2.
10*r**2 - 3*r
Collect the terms in 2065 + 17645*r**3 - 2065.
17645*r**3
Collect the terms in -287*y + 849*y - 277*y - 288*y.
-3*y
Collect the terms in -3*g**3 - 912022*g**2 - 912024*g**2 + 1824046*g**2.
-3*g**3
Collect the terms in -64*o**2 - 88*o**2 + 5*o**3 + 244*o**2 - 92*o**2.
5*o**3
Collect the terms in 29*y + 13*y - 107*y.
-65*y
Collect the terms in 413*p - 788*p + 8*p**2 + 375*p.
8*p**2
Collect the terms in 9132 + 15*v**3 - 3048 - 3042 - 3042 - 8*v**3.
7*v**3
Collect the terms in 434*a**3 + 61 - 61.
434*a**3
Collect the terms in 966*u + 1333*u**2 - 966*u.
1333*u**2
Collect the terms in -4*l**3 - 135 - 62 - 21 + 2*l.
-4*l**3 + 2*l - 218
Collect the terms in -59*n**2 - 50*n**2 - 46*n**2 - 42*n**2 + 198*n**2.
n**2
Collect the terms in 432 + 457 + 461 + 454 + 8*p - 1804.
8*p
Collect the terms in -557623*g**2 + 557626*g**2 - 12*g - g.
3*g**2 - 13*g
Collect the terms in -14*o - 9*o + 15*o**3 - 7*o**3 + 4*o - 7*o**3.
o**3 - 19*o
Collect the terms in 345339 + 298*r**2 - 295*r**2 - 345339.
3*r**2
Collect the terms in -2319*u + 1844*u + 473*u.
-2*u
Collect the terms in 324566*d - 52 + 52.
324566*d
Collect the terms in -2*m**3 - 10*m**3 - 65*m**3 + 1 - 30*m**3.
-107*m**3 + 1
Collect the terms in 189*y**3 + 179*y**3 + 189*y**3 + 190*y**3 - 761*y**3.
-14*y**3
Collect the terms in -x**2 + 8*x + 34*x - 89 - 13*x.
-x**2 + 29*x - 89
Collect the terms in -146*m - 154*m + 601*m - 152*m - 153*m.
-4*m
Collect the terms in 2*x**2 + 14*x**2 + 13*x**2 - 24*x**2 + 10*x**2 + 0*x**2.
15*x**2
Collect the terms in 0*w - 15*w**3 + 3*w**3 + 2*w**3 + 2*w + 7*w**3.
-3*w**3 + 2*w
Collect the terms in 59*u**3 - 25*u**3 - 31*u**3 - 5*u**3.
-2*u**3
Collect the terms in 6*y + 125*y - 137*y.
-6*y
Collect the terms in 30*p - 3 - 15*p + 3 - 18*p + 23*p.
20*p
Collect the terms in -48*z**2 + 102*z**2 - 44*z**2.
10*z**2
Collect the terms in -a**3 + 175 - 285 - a**3.
-2*a**3 - 110
Collect the terms in -28*x - 12215834 + 12215834.
-28*x
Collect the terms in -549*h**2 - 4*h - 3 - 1218*h**2 + 3*h + 2.
-1767*h**2 - h - 1
Collect the terms in -7883*r**2 - 3 + 4 + 7881*r**2 - 4 + 3.
-2*r**2
Collect the terms in 52*w + 54*w + 44*w - 147*w.
3*w
Collect the terms in -7046*p**2 + 7046*p**2 - 10*p**3.
-10*p**3
Collect the terms in 10774*n - 10774*n + 136*n**2.
136*n**2
Collect the terms in -135*a**3 - 135*a**3 - 132*a**3 + 416*a**3.
14*a**3
Collect the terms in -17225443 - 25*h + 5*h + 17225443.
-20*h
Collect the terms in 361*h - 491*h + 17 - 17.
-130*h
Collect the terms in 124*c**2 - 229
|
{
"pile_set_name": "DM Mathematics"
}
|
0.06?
a
Let d = 0.6 + -0.6. Let w = 0.6 + -0.3. Let q = w - d. Which is the biggest value? (a) q (b) 2/11 (c) 1
c
Let p = -1 + 3. Let u be (10/4)/((-2)/(-20)). Suppose 4*n = 3*a - u, -26 = -2*a - 0*n + 5*n. What is the third biggest value in a, -2/3, p?
-2/3
Suppose 0*t = -2*t + 6. Let h = t + -2. Let k = -1/79 - 151/553. Which is the second biggest value? (a) h (b) -5 (c) k
c
Let w = -9.99 + -0.01. Let p = 3119/8 - 390. Which is the second smallest value? (a) p (b) 1 (c) w
a
Let q(f) = f**3 - 4*f - 3. Let g be q(-2). Let w = 2.5 + -3. Let d be 20/(-6)*12/10. Which is the third biggest value? (a) g (b) w (c) d
c
Let x = 0.18 - 12.18. Let s = -11.9 - x. Suppose 0 = 3*d + 1 + 5. Which is the third smallest value? (a) s (b) -5 (c) d
a
Let q = 49/180 + -1/20. Let f = -2/83 - -188/913. Which is the smallest value? (a) q (b) 1/4 (c) f
c
Let s = -31099/8640 + -1/1728. Which is the biggest value? (a) -0.1 (b) -0.5 (c) s
a
Let f = -0.38 - 4.62. Suppose 0*r = r - 3*s + 5, r - 4*s = -6. Let o be (-1)/r + 3 + -4. Which is the smallest value? (a) f (b) -1 (c) o
a
Let m = 320/1169 - -2/167. Let q be 2/(-2)*(-5 + 5). Suppose q = -0*u + u - r + 2, 1 = -5*u - 4*r. Which is the third biggest value? (a) m (b) -2/11 (c) u
c
Let o be (17/(-51))/(1/(-6)). Which is the biggest value? (a) -0.2 (b) o (c) -1/4
b
Let o = -1.9 - 2.1. Which is the second biggest value? (a) o (b) -0.3 (c) 0.6
b
Suppose 0 = 2*p + t + 3, -2*p + p - 1 = t. Let n = -177/5 - -35. What is the third smallest value in n, 1/9, p?
1/9
Let n be (-3)/6*(-6)/(-9). Let x = 144/5 - 28. What is the second smallest value in n, x, 0.4?
0.4
Let u be (-2)/(-3)*54/12. Suppose 31 = 4*x + x + u*o, -3*x + 39 = -5*o. Which is the second biggest value? (a) x (b) -1 (c) 1
c
Let h = 5.8 + 2.8. Let g = h + -9. What is the smallest value in g, -3/7, 0?
-3/7
Suppose 22 + 13 = 5*j. Let s(w) = -w**3 + 7*w**2 + w - 3. Let p be s(j). Which is the third smallest value? (a) p (b) 3 (c) -2/13
a
Suppose 0 = 4*o + 4*z - 10 - 22, -4*z = -20. Suppose 4*q - 16 = 3*s - 2*s, o*q + 4*s = 12. What is the smallest value in q, -4, 1/5?
-4
Suppose 0*u - 2*u = -2*p + 112, -2*p - 2*u + 112 = 0. Let n be (-8)/28 + 2/p. What is the smallest value in n, -3, -1/8?
-3
Let c be 1/2 + 9/6. Let y = 0.9 - -0.1. What is the third smallest value in c, y, 0.3?
c
Let b = -3 + 5. Let h = b - 1.8. What is the smallest value in h, -4, 2/11?
-4
Let k = -0.1 - -0.2. What is the biggest value in -4, -2/3, k?
k
Let x = 3066/13 - 236. Which is the second smallest value? (a) -3 (b) 0.2 (c) x (d) -2
d
Let i = -2 - -8. Let f = 1 - i. What is the biggest value in f, -1/2, 5?
5
Let s = 92 - 98.3. Let y = s - -6. Let n = -2 + 6. What is the third biggest value in n, 1, y?
y
Let q = -64/3 - -22. Which is the second smallest value? (a) q (b) -0.3 (c) 0.5
c
Let t = 0.077 - -0.923. What is the second smallest value in -1/15, t, -2/7?
-1/15
Let m = -8/11 + 126/143. Let h(g) = g**3 + g**2 + 173. Let j be h(0). Let u = 1213/7 - j. What is the second smallest value in 4, m, u?
u
Let f = 6 - 3. Let l = -32 + 63/2. What is the second biggest value in l, f, -1/4?
-1/4
Let p = 41 - 40.59. Let g = p - -0.09. Which is the third smallest value? (a) -1/7 (b) 2 (c) g
b
Let p = 0.141 + 7.859. What is the third smallest value in -2/3, p, 0.3?
p
Let j = 15 + -19. Which is the third biggest value? (a) -5 (b) -1/6 (c) 0.3 (d) j
d
Let t = 2 - 3/2. What is the second smallest value in t, -1, 2?
t
Let v(w) = w**2 + 4*w + 2. Let x be v(-2). What is the third smallest value in -8, 3, x, -4?
x
Let a = 61/130 + 2/65. What is the smallest value in 0.2, 3/2, a?
0.2
Suppose 2*q + q + 18 = 0. Let u(g) = 2*g + 8. Let v be u(q). Let l = -6 - -6.3. What is the third biggest value in v, l, 2?
v
Let o = -0.16 + 0.14. What is the second biggest value in -1, o, 0.2?
o
Let o = -0.5 + 0.5. Let p be 5/(-10) + (-2 - 42/(-20)). Which is the second smallest value? (a) p (b) 6/5 (c) o
c
Let j = -23/20 - -3/4. What is the second smallest value in 4/7, j, 0.5?
0.5
Let j = 8 - 12. Let m = -5 - j. What is the smallest value in -0.5, 4, m?
m
Let t be ((-4)/(-28))/((-2)/(-6)). What is the second biggest value in 1/4, -1, t?
1/4
Let n be (-2 + 0)/((-20)/(-4)). Let i be (-3)/(-6)*(-1 - -9). Let v = i - 2. Which is the smallest value? (a) n (b) v (c) -5
c
Let z be 10/3 - 1 - 3. Which is the third smallest value? (a) z (b) 4 (c) 3/4
b
Let y = -30 - -28. What is the third biggest value in 0.3, y, 4?
y
Suppose 3 + 3 = 3*y. Let r be 0 - (-5 + 4 + -1). Suppose -y*h - n = -1, r*h = -2*n - 1 + 7. What is the third biggest value in 2, h, 0.2?
h
Let v = 4.6 + -5. Let i be -2*(75/10)/15. Which is the biggest value? (a) i (b) v (c) 2/11
c
Let n = -114.6 + 114. Which is the third biggest value? (a) n (b) -2 (c) 0.6
b
Let z = -4 + 2. Suppose -t = -5 + 3. What is the second biggest value in z, -5, t?
z
Let n = -1.5 + 6.5. Which is the second biggest value? (a) 4 (b) -5 (c) n (d) 4/5
a
Let z = 588/5 - 118. What is the second biggest value in 0.4, z, -2, 1/6?
1/6
Let y(v) = 2*v**2 + 4*v - 16. Let a be y(3). What is the third smallest value in -1, -4/3, -0.4, a?
-0.4
Let r = 75 - 68.6. Let b = 6 - r. What is the smallest value in 1/6, -3, b?
-3
Let i = 0.33 - 0.03. Let h = -35.4 + 35. Let s = h + -3.6. Which is the second biggest value? (a) 5 (b) s (c) i
c
Suppose u + 52 = 4*o, u = -5*o + 24 - 76. Let k = u - -76. Let n be 2 + -4 - k/(-11). What is the third smallest value in 0, -1, n?
n
Let h = -6.2 - -6. Which is the smallest value? (a) h (b) 0.2 (c) -5
c
Let d be ((-2)/(-8))/(2/12). Let h = -0.07 + -0.93. Which is the smallest value? (a) -2 (b) d (c) h
a
Let b = -0.5 - -2.5. Let s = 0.6 + -0.1. Let d = 28 - 80/3. What is the second smallest value in s, d, b?
d
Let v = 992/7 + -142. What is the biggest value in v, 5, -2, -0.1?
5
Suppose 2*f - 5 - 3 = 0. Let g = 5.5 + 0. Let y = 5 - g. Which is the smallest value? (a) f (b) -5 (c) y
b
Let y(k) = -k**2 + 10*k - 11. Let z be y(10). Let o = z + 12. Let m = -0.1 - 0.9. What is the third smallest value in m, 3, o?
3
Let h = 3 - 4. Let k = -2.32 + 0.32. Which is the biggest value? (a) h (b) -4 (c) k
a
Let k be (3*3/9)/(-1). Let i be 3 + (-2 - (-12)/4). Which is the third smallest value? (a) k (b) -0.5 (c) i
c
Let h = -0.33 + 0.09. Let j = h + 0.3. Let l = j - -3.94. Which is the third biggest value? (a) -1/8 (b) l (c) 0.3
a
Let t = 0.2 + 0. Let m be 4/(-8)*(-12)/(-18). Which is the biggest value? (a) t (b) m (c) 1
c
Let d = 0.07 - -0.4. Let m = d - -0.03. What is the third smallest value in m, 1/5, 0.4?
m
Let c = -23 - -18. Let g = 2.9 - -8.1. Let s = g + -6. What is the third smallest value in c, -1, s?
s
Let h(r) = -r**3 + r**2 + 7. Let i be h(0). Which is the smallest value? (a) -2 (b) i (c) 5
a
Let v = -3.4 - -0.4. Let r be (-6)/9*(-18)/(-20). Which is the third smallest value? (a) -4 (b) v (c) r
c
Let n = -9.5 - -7.5. What is the smallest value in -0.4, n, 0.4?
n
Let v = 10 - 12.6. Let f = -1.8 - v. Which is the second smallest value? (a) f (b) -2/13 (c) -0.3
b
Let s = 76 + -76. Which is the third smallest value? (a) s (b) 4 (c) 0.2 (d) 1/10
c
Let j be -2 + 4 - 1*-1. Let w(x) = x - 3. Let n be w(j). Let t = -313/7 + 45. What is the biggest value in t, n, 4/7?
4/7
Let r be 0 - -1*2/(-9). Let u = -21.5 - -35. Let i = 14 - u. Which is the third biggest value? (a) -5 (b) r (c) i
a
Let q = 2 + -2.1. Suppose u + 5 = -3*u + c, 3 = -5*u - 2*c. Let t = u + 6. What is the third smallest value in 1, q, t?
t
Let r = 3.9 + -7.9. What is the third biggest value in r, 3, -10?
-10
Suppose 0 = p + 4*b + 18, -3*p + 2*b + 21 = 5. Let f be p*(6/(-10))/(-3). Let l = -3.5 + 3. What is the third biggest value in -2, f, l?
-2
Let t = 10 + -10.4. Let b = -927/7 - -132. What is the third smallest value in t, -2/11, b?
-2/11
Let l be (-45)/(-12) - 5/(-20). Suppose 3 = 3*z - 3. Which is the second biggest value? (a) -4 (b) z (c) l
b
Let q = 24 + -23.7. Which is the fourth biggest value? (a) q (b) 2/25 (c) 0.1 (d) 5
b
Let h = 3/8 + -37/56. Which is the third biggest value? (a) -2/5 (b) h (c) 6 (d) -2/11
b
Let s = -5 + 3. Let r = s + -3. Which is the second biggest value? (a) r (b) 0 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
1917*c + 4*a - 46 - 2 = -21919*c for c.
0
Solve 9*t - 8*t + 16 = -t + d - 0*d, 51 = -7*t + 3*d for t.
-3
Solve 6472*t = -p + 6475*t + 8, 0 = 3*p + 2*t - 79 for p.
23
Solve 28*c + 511*y - 3071 = 16*c + 11*c, 4*y - 14 = 2*c for c.
5
Solve 4125*z + 3*k - 55 = 4120*z, z - 2*k = -2 for z.
8
Solve 3*g + 27*c - 147 - 244 = 98, -4*g + 4*g - 53 = -4*c + 19 for g.
1
Solve -2*q - 37*s + 21*s - 40 = -21*s, -4*q + 32 = -q - 0*q + 4*s for q.
0
Solve l = -3*m - 23, -18*l - 24*m + 371 = 665 for l.
-11
Solve -u - 21*a - 219 = 17*a - 52, u - 4*a + 2*a - 33 = 0 for u.
23
Solve y = -7*j - 23, -2*y + 9338 = y - j + 9319 for y.
5
Solve -6060*r + 12123*r = c + 6064*r + 4, 0 = -3*r - 3 for c.
-3
Solve 4*q - 99*z = -579 + 124, -20*z + 22*z + 30 = 4*q for q.
10
Solve -2608431*y + 2608434*y + 17 = 5*b, -11 = -3*b + 2*y for b.
1
Solve a + 1259*k = 1249*k + 59, -22 = -2*a + 4*k for a.
19
Solve 16*y + 44*y = 4*x - 8, -2*x - 11 + 41 = 4*y - 8 for x.
17
Solve 5*q + 2*t - 81 = 0, 17*q + 13722*t = 13723*t + 252 for q.
15
Solve 3*k - 9 - 16 = -6*f + 4*f, 0 = 15*k - 3*f - 19*f - 157 for k.
9
Solve 4*q - l + 148 = 2*l + 35, 201*q + 15*l = 198*q - 171 for q.
-32
Solve -2*c + 4*r = c - 31, -30*r + 34*r + 181 = -47*c for c.
-3
Solve 4*r - 100 = 7*j, 15060*j - 15058*j + 32 = 0 for r.
-3
Solve 0 = 2*n + 4*z + 76, -4*n + 163097*z - 102 = 163095*z for n.
-28
Solve -32*c + 49*c - 4*z = 28*c + 74, 4*c + 5*z = -73 for c.
-2
Solve -4*l + 12 = -4*k, 17*l - 81 = 139547*k - 139545*k for k.
2
Solve -40 = 11*g + 13*g - 23*g + 5*b, 4*g + 110*b = -970 for g.
5
Solve 8*l - t + 26 = 11*l, 0 = 23*l - 5*t - 136 for l.
7
Solve 0 = -3*j + 6*c - 45, 0*j = -3*j - 653*c + 658*c - 38 for j.
-1
Solve 5*y - 16 = -6*l + 23, -10*y + y + 4*l + 11 = 0 for y.
3
Solve 0 = 2*s - h - 1 - 1, 26 - 16 = -2*s + 4*h - 0*h for s.
3
Solve -15714*l - h = -15705*l + 110, h - 12 = 2*l + 10 for l.
-12
Solve 2*u = 3*c + 4 + 29, -2*c + 2*c - c = 9 for u.
3
Solve -22*k = -19*k + 5*f + 23, 28*f - 89 = 2*k - 11 for k.
-11
Solve 7*l + 4*p - 2*p - 24 - 7 = -28, 33 = -8*l + 5*p for l.
-1
Solve 0 = 4*y - 165*h + 160*h + 241, -4*h + 122 = -2*y for y.
-59
Solve -69*i - 288 = -18151*y + 18147*y, 2 = 2*y + i for y.
3
Solve 52*u + a - 91 = 177, -2*u = 83*a + 87*a - 169*a - 18 for u.
5
Solve -3*n = -2*c + 206, 5*c + 563*n - 553*n = -745 for c.
-5
Solve -2*c - 1 = -3*c - a, 20 - 2 = -7*c - 2*a for c.
-4
Solve -167*x = l + 844, -69 = -358*x + 370*x + l for x.
-5
Solve 0 = -3*h + 6, 4*s + 9*h - 5*h - 61 + 45 = 0 for s.
2
Solve -2*f + s = 3 - 18, 107*f - s = 4*f - 0*s + 520 for f.
5
Solve 5*i - 258 + 532 = -3*h - h, i = 7*h - 86 for i.
-58
Solve -4*h + 9*f = 179, h - 2822 = 2*f - 2862 for h.
-2
Solve 5 = -74*q + 36*q + 36*q + 1, 8*j = 5*q - 342 for j.
-44
Solve -2*b + 64*h = 55*h - 6, -11 = b + 4*h + 3 for b.
-6
Solve 5*g + 2*v = 5*v + 11, -5*g - v = -3*v + 92 - 101 for g.
1
Solve -4*l - 4*n + 37575 - 37603 = 0, 0 = 4*l + 25*n + 154 for l.
-1
Solve 10*t + 3 = 2*z - 3*z, 5*t = 3189*z - 3193*z - 82 for t.
2
Solve 0 = 16*f - 12*f - 8*b + 1 - 41, 5*f + 22 = -2*b for f.
-2
Solve -x - 25 = w, 766694*w - x + 1 = 766694*w for w.
-26
Solve 0 = 4*b - 3*t - 1, b + 23*t - 98*t = -77*t + 3 for b.
1
Solve -2*y + 495 = -9*a + 652, 0 = -5*y + 2*a - 331 for y.
-65
Solve 3*m + 3*g = 3*g - 6*g + 126, 0 = 5*m - 4*g - 154 for m.
34
Solve 11*i + 2*u + 152 = 8*i + 129, 3*i + 28 = -u for i.
-11
Solve 4*z + 703*d - 695*d - 2 - 8 = 10*z, 4*z - 3*d + 12 = -z for z.
-3
Solve -14*s + 10*q = -6*s + 158, -11 - 12 = 2*s + 22*q - 19*q for s.
-16
Solve 45 = 5*m - 5*d, 21*m + 7*d = -20*m + 44*m - 63 for m.
0
Solve 310195*z = 8*t + 310196*z + 42, -4*z - 28 = 4*t for t.
-5
Solve -2*t = 10, 587*t + 29 = -13*q + 588*t - 18 for q.
-4
Solve 2*r = -15*o + 696, o = -9*r - r + 9*r + 49 for r.
3
Solve 10*z - 37 = -0*s + 3*s + 8*z, -3*s - 408 = -56*z + 547 for s.
-1
Solve -2 = 2*r - 3*y, -235*r + y + 3*y = -479*r + 241*r + 14 for r.
2
Solve 0 = -3*y - 33, -53*c + 4*y + 9 + 2 = -50*c + 3*y for c.
0
Solve -m + 6 = -5*t + 16, 10*m - 77 = 14*m - 7*m - 10*t - 7 for m.
10
Solve 0 = 6808*y - 6809*y - 3*s - 35 - 0, 22 = -2*s for y.
-2
Solve -27025*o = -27023*o - 8, 3*f + 11*o - 95 = 0 for f.
17
Solve -9*g - 53 = -10225550*n + 10225545*n, -n = 3*g - 25 for g.
3
Solve -3*s + 2*a + 4 = 0, -s + 139 = 2*a + 151 for s.
-2
Solve -18*m = 3*g + 3*m + 192, g + 8410*m = 8412*m + 17 for g.
-1
Solve 145 = -3*a - 2*x, a - 2*x + 198907 = 199064 for a.
3
Solve -38*i = -t - 147, 0 = 2*t - 33*i + 28*i + 10 for t.
5
Solve 6 = -2*u, 3 = 10629*o - 10630*o - 0*u - u for o.
0
Solve 2*c = -4*m - 268, -1762*c + 369 = -5*m - 1756*c for m.
-69
Solve 0 = -28*b + 5*s + 219, -3*b - 3*s + 211 - 95 - 89 = 0 for b.
8
Solve -2*u = -u + 3*u, 3*u - 4*u = 5*f + 14 - 4 for f.
-2
Solve 3*v - 9 = -2*b, 4*v = 82*b - 79*b - 56 for b.
12
Solve 0*h + 4*h - 50 = -13*n, 3*h - 47 = -117*n + 112*n for h.
19
Solve -134 = -5*g - 18*f - 8*f, 1640*g - 5*f + 38 = 1643*g for g.
6
Solve -2859*y + 2855*y = 4*q - 4, -q - 5 = 65*y - 61*y for q.
3
Solve -1754*x + 873*x - q = -870*x + 240, -5*q - 78 = 4*x for x.
-22
Solve -32428*g + 32427*g + 27 = s, 2*s - 42 = 2*g for s.
24
Solve 3*p - 2*n = -1, -1387*n = -4*p - 1390*n + 27 for p.
3
Solve 5*j + 17 = 2*p, -17*j - 2*p - 2 = -16*j + j + 2*p for j.
-3
Solve 4*j + 5*r - 112 - 21 = 0, -11*j = -r + 3 for j.
2
Solve 4*b + 15 = 9*x, 3*b - 746*x - 21 = 746*x - 1496*x for b.
3
Solve 197*k + 5*o - 1007 = -204, -o = 5*k - 23 for k.
4
Solve 54*s + 4*o + 186 = 0, s - 3*s + 3*o + 10 = -2 for s.
-3
Solve -4*d = -76, -4*y - 3456768*d + 115 = -3456763*d for y.
5
Solve -5*f = 7*b + 14, 3*b - 42 = -30489*f + 30480*f for f.
7
Solve -6*t - u + 16 = -30, 0 = 2*u + u + 6 for t.
8
Solve 11*i = -3*a - 80, -18354*a = 4*i - 18352*a + 50 for i.
-1
Solve -3*x - 3*f = -21, -15*x - 5*x - 3*f - f = -23*x + 35 for x.
9
Solve 0 = 3*h + 2*x - 14, 460 = 9*h + 5*x + 428 for h.
-2
Solve -5*b + 10*b + 8 = 7*b, -55*x = -3*b - 153 for x.
3
Solve 2*w + 4*v + 12 = 2*w, -2*w + 6*v - 9 = 11*v for w.
3
Solve 3*l + 97 = 2*h + 80, -l - 7*h - 2 + 4 = -23 for l.
-3
Solve 1065*v - 24*l + 76 = 1061*v, -13*v + l = 247 for v.
-19
Solve -3*u = -5*x + 8, -4*x - 56 = -1167*u - 1168*u + 2343*u for x.
-2
Solve 381*z - 380*z + 253*o = 1024, -2*z + 4 = -5*o for z.
12
Solve x = 13023448*n - 13023452*n - 0*x + 16, -2*x = -8 for n.
3
Solve n + 214 = -71*i, 2*i + 68*n + 4 = 70*n for i.
-3
Solve -10*y - 5*v + 20 = 0, 3*v - 1 - 3 = -y + 3 - 0 for y.
1
Solve n + 196*o + 13 + 10 = 201*o, 21 = n + 6*o for n.
-3
Solve -76*k + 79*k - 92 = 4*o, -6*o - 119 - 19 = -2*k for o.
-23
Solve 2*h + 4*r - 10 = 0, 3*h - 3*h + 9*h = 4*r - 21 for h.
-1
Solve 16*k = 560 - 592, 24 = -0*m - 2*m + 5*k for m.
-17
Solve 5*d + 5*q - 255 = 0, -230*q = 3*d - 231*q + 55 for d.
-1
Solve 4932 = 5*v + 4*d + 4883, 4*v - 5*v - 4*d + 13 = 0 for v.
9
Solve -5*x = 4*h - 26, 38*h + 26*h - 6 = 68*h - 3*x - 48 for h.
9
Solve 14*s - 9*s - z - 14 = 0, -4*s + 6*z + z = -3*z + 2*z + 32 for s.
4
Solve 3*i - 53 = -7343*p - 7342*p + 14684*p, -p = -0*i + i - 53 for p.
53
Solve 2*f - 571 = -7*t - 593, -f - 2*t = 14 for f.
-18
Solve -7*s + 16*b - 12*b + 76 = 0, 3*s + 5*s - 4*s + 3*b + 5 - 22 = 0 for s.
8
Solve t + 11*v - 50 = 0, 5*v + 28852 - 28877 = 0 for t.
-5
Solve -71*w + 3343*f - 3346*f - 141 = 0, -w - 27 = -f for w.
-3
Solve 3*t - 100*a + 101*a = -20, 3*t + 4*a + 18 = -17 for t.
-5
Solve 2*f - 4*w = -2, 2*f + 24 - 25 = w for f.
1
Solve 12*b - 3*b - 41*k + 13 = 10*b, 2*k = b - 13 for b.
13
Solve -14981*z + 14976*z - o + 106 = 0, -5*o + 1 = z - 1 for z.
22
Solve 0 = 2*j - 74*a + 212, 23203*j - 12 = 23203*j - 4*a for j.
5
Solve -5*x = 4*j + 210, -11*j - 171 = -34*x + 31*x - 8*j for x.
2
Solve -q - 2*o = 20 - 9, -4*q + o - 24 = -o for q.
-7
Solve 2*x - 140*z + 143*z = -2*x - 30, -z + 85 - 108 = -3*x for x.
3
Solve -3 = -13738*o + 13741*o, -w + 0*o + 2*o = -14 for w.
12
Solve -5*h - 130 = 141*k - 146*k, 4*k + 78 = -3*h for k.
0
Solve 29 = -9*w + 2*w - 11 - 2, -5*w - 42 = -4*a for a.
3
Solve 0 = -v - 5*s + 6*s + 11, 0 = -3060*v + 3059*v + 7*s + 35 for v.
7
Solve -5*l - 4*g = -39, 1434021*l - 5*g + 52 = 1434024*l for l.
-1
Solve 163669*a + 3*c = 163677*a + 182, 0 = a - c + 24 for a.
-22
Solve -2*u - 4*k + 8 = 12, -u - k + 4 = -6*k + 9*k + 8 for u.
0
Solve -10*j = -10, 9*x - 3*x - 2*j = x + 4*x - 5*j - 9 for x.
-12
Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
xt term in -1460, -1492, -1538, -1604, -1696, -1820?
-1982
What comes next: -51907, -51915, -51935, -51973, -52035, -52127, -52255, -52425?
-52643
What is next in -643, -627, -589, -529, -447, -343?
-217
What is the next term in -19, -75, -175, -319, -507, -739?
-1015
What is the next term in -106820, -106818, -106814, -106808?
-106800
What comes next: 800, 845, 920, 1025, 1160?
1325
What is next in 47943, 191754, 431437, 766992, 1198419, 1725718?
2348889
What comes next: 4976, 4995, 5014, 5033, 5052?
5071
What is the next term in 93, 412, 945, 1692, 2653, 3828?
5217
What comes next: 29715, 29716, 29717, 29718, 29719, 29720?
29721
What comes next: -55929, -55927, -55923, -55917, -55909, -55899, -55887?
-55873
What comes next: -5265, -5466, -6013, -7080, -8841, -11470?
-15141
What is the next term in -17877, -17952, -18077, -18252?
-18477
What is the next term in -1077, 21, 3003, 8811, 18387, 32673?
52611
What is next in 2261, 2270, 2303, 2372, 2489, 2666, 2915, 3248?
3677
What is the next term in 1586, 1874, 2164, 2456?
2750
What comes next: 723, 1419, 2115?
2811
What is the next term in 687, 587, 483, 375?
263
What is the next term in -559, -1115, -1673, -2233, -2795, -3359, -3925?
-4493
What is next in 1333, 2343, 3353, 4363, 5373, 6383?
7393
What is next in -16541, -33080, -49617, -66152, -82685?
-99216
What is the next term in -41, -443, -1491, -3491, -6749, -11571, -18263?
-27131
What comes next: 424344, 424345, 424346?
424347
What is the next term in -169, -395, -763, -1261, -1877, -2599?
-3415
What is the next term in -4593, -8347, -12101, -15855, -19609?
-23363
What comes next: -4848, -9710, -14570, -19422, -24260, -29078, -33870?
-38630
What comes next: 10146, 20304, 30462, 40620, 50778, 60936?
71094
What comes next: 150, 125, 84, 21, -70?
-195
What comes next: -8285, -16575, -24865?
-33155
What is the next term in -145769, -291539, -437309, -583079, -728849, -874619?
-1020389
What comes next: -998, -1527, -2056?
-2585
What comes next: 2839, 2975, 3099, 3205, 3287, 3339, 3355, 3329?
3255
What is next in 152, 663, 1512, 2699, 4224, 6087?
8288
What is the next term in 1563, 3111, 4659, 6207, 7755, 9303?
10851
What is next in -121, -949, -2319, -4225, -6661, -9621?
-13099
What is the next term in 3103, 6233, 9361, 12487, 15611, 18733?
21853
What is the next term in 189, 346, 511, 684, 865?
1054
What is next in -3703, -3713, -3729, -3751?
-3779
What comes next: 757, 2823, 6265, 11083?
17277
What is next in 61, 112, 159, 208, 265, 336?
427
What is next in -6612, -26467, -59560, -105891?
-165460
What comes next: -2421, -9649, -21693, -38553?
-60229
What is the next term in 441, 368, 295, 222, 149?
76
What is next in 37441, 37439, 37437?
37435
What is next in 658, 747, 872, 1015, 1158?
1283
What comes next: -23709, -23727, -23763, -23823, -23913, -24039?
-24207
What comes next: 78, 187, 366, 651, 1078, 1683?
2502
What is the next term in 302, 1544, 3606, 6482, 10166, 14652?
19934
What is the next term in 672642, 1345276, 2017910, 2690544?
3363178
What is next in 1010716, 1010715, 1010714?
1010713
What is the next term in 4270, 8553, 12832, 17107, 21378, 25645?
29908
What comes next: -5701, -22690, -50959, -90514, -141361, -203506, -276955, -361714?
-457789
What comes next: 3239, 3226, 3205, 3176, 3139, 3094, 3041?
2980
What is the next term in -2117, -4239, -6379, -8543, -10737, -12967, -15239, -17559?
-19933
What is next in 231, 257, 293, 339?
395
What is the next term in 1220, 2439, 3660, 4883, 6108, 7335?
8564
What comes next: -280002, -280015, -280042, -280089, -280162?
-280267
What comes next: -274765, -549526, -824287, -1099048?
-1373809
What comes next: 92332, 369354, 831052, 1477420, 2308452, 3324142?
4524484
What is the next term in -114, -1108, -3830, -9144, -17914, -31004?
-49278
What is the next term in -2555, -3080, -3605, -4130, -4655, -5180?
-5705
What is next in -2444, -2481, -2532, -2603, -2700, -2829, -2996, -3207?
-3468
What comes next: 145428, 145429, 145432, 145437, 145444, 145453?
145464
What comes next: -3042, -12165, -27370, -48657?
-76026
What is next in 10481, 10479, 10477, 10475?
10473
What is the next term in -153454, -153448, -153440, -153430, -153418, -153404?
-153388
What is the next term in -735, -1446, -2157, -2868, -3579?
-4290
What comes next: -87, -192, -287, -372, -447?
-512
What comes next: -116, -397, -862, -1511, -2344?
-3361
What is the next term in 25763, 25774, 25785?
25796
What is next in -300, -205, 560, 2331, 5444, 10235, 17040?
26195
What is next in -2282, -2500, -2732, -2984, -3262?
-3572
What is the next term in -5, 26, 123, 322, 659, 1170, 1891, 2858?
4107
What comes next: 1071, 1040, 999, 942, 863?
756
What is next in 3179, 3149, 3103, 3035, 2939?
2809
What is the next term in 556, 1051, 1514, 1927, 2272?
2531
What is the next term in 160, 93, -98, -479, -1116, -2075, -3422?
-5223
What is the next term in -35127, -70253, -105377, -140499, -175619, -210737?
-245853
What is next in -20, -32, -42, -50, -56, -60, -62?
-62
What comes next: 53, 141, 233, 281, 237?
53
What is the next term in -27, 95, 217, 339?
461
What comes next: 26, 50, 76, 104, 134, 166, 200?
236
What is the next term in 25, 96, 163, 226, 285?
340
What is the next term in -127852, -127850, -127846, -127840, -127832, -127822, -127810?
-127796
What is next in 116, 231, 394, 629, 960, 1411, 2006, 2769?
3724
What comes next: 240, 433, 626, 819, 1012?
1205
What is the next term in 2904, 11637, 26192, 46569?
72768
What comes next: -206, -178, -140, -98, -58?
-26
What comes next: -2384, -4740, -7096, -9452?
-11808
What is the next term in 412, 1589, 3502, 6115, 9392, 13297, 17794?
22847
What comes next: -311, -383, -501, -665, -875, -1131?
-1433
What comes next: 303710, 607418, 911126, 1214834, 1518542?
1822250
What comes next: 2094, 4183, 6232, 8235, 10186?
12079
What comes next: -63, -184, -305, -426, -547, -668?
-789
What is next in 1042, 2064, 3070, 4048, 4986?
5872
What comes next: -213, -457, -731, -1035, -1369, -1733, -2127?
-2551
What is the next term in -1111, -1131, -1153, -1177, -1203, -1231?
-1261
What is the next term in -1122, -2387, -3652?
-4917
What comes next: -78, -211, -374, -573, -814, -1103, -1446, -1849?
-2318
What comes next: 908, 1817, 2726, 3635?
4544
What is the next term in 756, 821, 948, 1167, 1508?
2001
What is next in -47626, -47631, -47640, -47653?
-47670
What is next in -395497, -790982, -1186467, -1581952, -1977437, -2372922?
-2768407
What is the next term in -48890, -97782, -146674, -195566, -244458, -293350?
-342242
What comes next: -2638, -2643, -2648, -2653, -2658, -2663?
-2668
What is the next term in -45, -68, -85, -78, -29, 80?
267
What comes next: 121, 104, 61, -20, -151, -344, -611?
-964
What is the next term in 854525, 854526, 854527?
854528
What comes next: -761, -793, -837, -887, -937, -981, -1013, -1027?
-1017
What is the next term in -289, -639, -1105, -1747, -2625, -3799, -5329?
-7275
What is next in -6279, -25116, -56513, -100470?
-156987
What is next in -3527, -3259, -2813, -2189, -1387?
-407
What is next in -238, -427, -564, -649, -682, -663, -592?
-469
What comes next: -1318, -313, 1368, 3731, 6782, 10527, 14972?
20123
What comes next: -34, 148, 742, 1952, 3982, 7036, 11318, 17032?
24382
What is next in -383, -1288, -2735, -4676, -7063, -9848, -12983, -16420?
-20111
What is the next term in 36, -46, -174, -360, -616?
-954
What is the next term in 60, 150, 232, 306, 372, 430?
480
What is next in 1027, 937, 789, 583?
319
What is the next term in -315870, -631734, -947598?
-1263462
What is next in 29151, 58314, 87477, 116640?
145803
What comes next: -413, -489, -569, -653, -741?
-833
What comes next: -20087, -20092, -20097, -20102, -20107?
-20112
What is the next term in -1705, -1633, -1569, -1513, -1465, -1425, -1393?
-1369
What comes next: -484, -897, -1224, -1465, -1620?
-1689
What is next in -1726, -1871, -2006, -2125, -2222, -2291?
-2326
What is the next term in -2691, -5290, -7887, -10482, -13075?
-15666
What comes next: -205, -568, -1171, -2014?
-3097
What comes next: 147, 1344, 3347, 6162, 9795, 14252, 19539?
25662
What is next in -351, -755, -1173, -1599, -2027?
-2451
What comes next: -9220, -9209, -9198, -9187, -9176, -9165?
-9154
What is the next term in 868, 524, -58, -
|
{
"pile_set_name": "DM Mathematics"
}
|
p(f) = f**2 - 29*f - 270. What is p(-6)?
-60
Let i(v) = -268464*v + 2953097. What is i(11)?
-7
Let q(b) = -b**3 - 150*b**2 - 58*b - 9253. Determine q(-150).
-553
Let d(v) = 39*v + 477. Determine d(-2).
399
Let t(o) = -o**2 + 52376*o - 261817. Calculate t(5).
38
Let b(v) = 25*v**3 + 197*v**2 + 36*v + 493. Determine b(-8).
13
Let h(d) = -2*d**2 - 3609*d + 602. Give h(0).
602
Let b(o) = 36712*o - 1138062. What is b(31)?
10
Let r(w) = -66*w**2 - 629*w + 110. What is r(-9)?
425
Let p(c) = -6071*c - 67105. Calculate p(-11).
-324
Let f(b) = -11*b**2 + 1140*b + 284. Calculate f(104).
-132
Let l(t) = -444*t - 24905. What is l(-55)?
-485
Let n(o) = -64*o**2 + 5625*o + 36713. Determine n(94).
-41
Let q(n) = 265*n - 11613. Give q(49).
1372
Let g(j) = 17*j**2 + 5462*j - 5467. What is g(1)?
12
Let s(r) = 5*r**3 - 97*r**2 - 507*r - 9. What is s(-5)?
-524
Let o(v) = v**2 - 4321*v + 21661. What is o(5)?
81
Let q(t) = t**3 - 572*t**2 - 5230*t + 558. Calculate q(581).
-23
Let n(z) = 446*z - 36582. Give n(82).
-10
Let r(s) = -31833*s + 63869. Give r(2).
203
Let o(k) = 2*k**2 + 431*k + 17647. Calculate o(-56).
-217
Let g(o) = -126*o - 567. What is g(2)?
-819
Let t(c) = -519438*c - 8310998. Calculate t(-16).
10
Let k(m) = -854264*m + 25627923. What is k(30)?
3
Let t(g) = 79600*g + 2228744. Calculate t(-28).
-56
Let r(k) = -2*k**3 - 14*k**2 + 1189*k + 8250. Give r(-7).
-73
Let o(w) = -37793*w - 340189. What is o(-9)?
-52
Let a(v) = -3*v**3 + 5*v**2 + 15*v - 124. What is a(5)?
-299
Let v(p) = 3*p**2 + 101*p + 691. Calculate v(-24).
-5
Let u(g) = -g**2 - 1662*g + 30208. What is u(18)?
-32
Let f(w) = w**3 - 26*w**2 + 7447*w - 51210. Determine f(7).
-12
Let d(o) = -2372*o + 75825. Calculate d(32).
-79
Let g(t) = 7*t**3 - 908*t**2 - 12250*t + 5403. What is g(142)?
7
Let w(v) = 3285*v**2 - 4329*v - 4331. Calculate w(-1).
3283
Let m(w) = 5131*w - 164232. Give m(32).
-40
Let b(f) = -101*f**2 - 36*f - 70. Calculate b(-3).
-871
Let h(i) = 2657*i - 18478. Give h(7).
121
Let s(q) = -3794*q + 15132. Calculate s(4).
-44
Let b(s) = 166*s**2 + 150*s - 76. Determine b(0).
-76
Let k(u) = 3*u**2 + 187*u + 2690. Give k(-22).
28
Let m(j) = j**3 - 86*j**2 - 11*j + 8161. Give m(85).
1
Let q(c) = -c**2 + 79*c + 3071. What is q(-28)?
75
Let o(x) = -151*x**2 + 31285*x - 5796. Determine o(207).
0
Let f(i) = 8*i**2 + 10672*i + 74314. What is f(-7)?
2
Let f(u) = 81469*u - 81406. Calculate f(1).
63
Let m(l) = l**3 + l**2 - 25*l + 235. What is m(-7)?
116
Let a(b) = -b**3 - 24*b**2 - 50*b + 121. Calculate a(-4).
1
Let a(o) = -13*o**2 - 1268*o + 38798. What is a(-122)?
2
Let w(t) = -t**2 + 5029*t + 819612. What is w(-158)?
66
Let i(r) = -19*r**2 + 1789*r + 3601. What is i(96)?
241
Let b(p) = 12*p**3 + 456*p**2 - 50*p - 141. Give b(-38).
1759
Let g(o) = -5*o**2 - 524*o - 3921. Determine g(-8).
-49
Let z(g) = 2*g**2 + 1115*g - 13719. Give z(12).
-51
Let b(n) = -2*n**3 + 508*n**2 + 24859*n + 1474. Give b(296).
-6
Let f(j) = -56*j - 4285. Calculate f(-62).
-813
Let y(x) = x**3 + 199*x**2 + 1511*x - 3270. Give y(-191).
-23
Let c(d) = 2*d**2 + 1067*d + 88020. Give c(-102).
-6
Let o(i) = -i**3 - 62*i**2 - 130*i - 129. Determine o(-2).
-109
Let j(v) = -25*v**2 - 122*v - 445. Calculate j(-8).
-1069
Let p(w) = -7740*w + 7672. Determine p(1).
-68
Let a(d) = 5267*d - 105340. What is a(20)?
0
Let d(t) = 4*t**2 + 689*t - 113039. Determine d(-275).
-14
Let t(r) = -2*r**2 + 6437*r - 83830. What is t(13)?
-487
Let r(o) = -5*o**2 + 142*o + 624. Determine r(24).
1152
Let u(l) = -l**3 + 124*l**2 - 2954*l + 423550. Determine u(127).
5
Let j(a) = -3645*a - 47624. Give j(-13).
-239
Let t(w) = -w**3 + 8*w**2 + 1731*w + 15387. What is t(-10)?
-123
Let d(t) = 2*t**3 - 154*t**2 - 149*t - 145. Give d(78).
401
Let n(d) = -8545*d - 5603. What is n(-1)?
2942
Let v(z) = 3*z**2 - 108*z - 2267. Give v(-23).
1804
Let d(o) = -8*o + 635. Determine d(10).
555
Let k(x) = 9*x**3 - 70*x**2 + 338*x - 80. Calculate k(4).
728
Let d(h) = -1621*h + 8126. Determine d(5).
21
Let t(y) = 84*y + 9821. What is t(-118)?
-91
Let l(t) = 2639*t**3 + 44867*t**2 + 73*t + 81. Calculate l(-17).
-4
Let q(c) = c**2 + 1287*c - 1447721. Calculate q(721).
47
Let d(v) = 253701*v - 1268508. What is d(5)?
-3
Let n(i) = -226*i - 6795. Give n(-30).
-15
Let i(q) = -21*q**3 - 6*q**2 + 237*q + 948. Calculate i(-4).
1248
Let l(o) = o**3 + 295*o**2 + 2017*o + 359. Give l(-288).
71
Let q(h) = 16865*h + 83634. Give q(-5).
-691
Let v(k) = -1974*k + 7219. Give v(3).
1297
Let c(k) = -828*k**3 - 3*k**2 + 5*k + 7. What is c(-1)?
827
Let v(i) = 2*i**3 - 84*i**2 - 63*i - 999. Determine v(43).
-10
Let y(k) = 576*k + 46258. What is y(-80)?
178
Let p(d) = -21751*d + 239416. Give p(11).
155
Let f(d) = -2*d**3 - 15*d**2 - 115*d - 922. Calculate f(-10).
728
Let i(z) = -3*z**2 + 281*z - 632. Calculate i(74).
3734
Let h(o) = -10162*o - 223480. Calculate h(-22).
84
Let k(d) = 2*d**3 + 184*d**2 - 358*d - 673. Give k(-94).
-2365
Let g(z) = z**3 + 329*z**2 - 6983*z - 1043. What is g(-349)?
4
Let q(r) = 27*r**3 - 195*r**2 - 642*r + 4704. Calculate q(7).
-84
Let w(m) = -m**3 - 212*m**2 - 634*m - 1452. Determine w(-209).
11
Let c(i) = i**3 - 10*i**2 + 37*i - 285. Determine c(14).
1017
Let g(z) = z**2 + 1740*z + 412324. Determine g(-283).
-7
Let g(a) = 42*a**3 + 4993*a**2 - 571*a + 2853. What is g(-119)?
-3
Let i(v) = 6*v**2 + 304*v - 9515. Give i(26).
2445
Let h(k) = k**2 - 182*k + 7883. Give h(113).
86
Let q(m) = m**3 + 19*m**2 - 1329*m + 279. Determine q(28).
-85
Let c(a) = 73*a - 3788. Determine c(36).
-1160
Let x(y) = -46369*y - 278064. Determine x(-6).
150
Let z(u) = -854*u**2 - 6565*u - 4125. Determine z(-7).
-16
Let i(t) = -t**2 - 27164*t - 15808550. Calculate i(-595).
5
Let h(d) = -20*d**3 - 660*d**2 - 51*d - 1689. Calculate h(-33).
-6
Let z(r) = -r**2 - 44725*r + 715849. Determine z(16).
-7
Let k(r) = 225*r + 67615. Determine k(-301).
-110
Let p(m) = 3592*m - 1081198. Calculate p(301).
-6
Let d(g) = -125*g - 4635. Determine d(-39).
240
Let o(s) = -5*s**2 + 23*s + 212. Determine o(5).
202
Let t(q) = q**2 - 8*q - 340. Give t(-21).
269
Let c(u) = u**3 + 54*u**2 + 168*u + 739. Calculate c(-51).
-26
Let m(n) = -175*n + 7579. Calculate m(40).
579
Let a(c) = -448669*c - 4038018. Determine a(-9).
3
Let m(f) = -3*f**3 + 23*f**2 + 257828*f - 2062565. Give m(8).
-5
Let i(l) = 26684*l - 80060. Give i(3).
-8
Let t(i) = 2473*i - 318448. Determine t(129).
569
Let r(m) = m**3 + 11*m**2 - 1908*m - 13496. Give r(-7).
56
Let y(u) = -u**3 + 38*u**2 + 822*u + 2885. What is y(-12)?
221
Let i(o) = o**2 + 254*o + 15469. Give i(-154).
69
Let o(k) = -6*k**3 + 329*k**2 - 2693*k + 25. Calculate o(10).
-5
Let x(r) = -734*r + 12079. Give x(18).
-1133
Let d(j) = 24644*j - 1971527. Give d(80).
-7
Let v(u) = 1232*u - 798365. What is v(648)?
-29
Let m(q) = 2*q**3 + 233*q**2 - 3627*q - 235. Calculate m(14).
143
Let h(l) = 71996*l - 71656. Calculate h(1).
340
Let r(z) = -2194*z - 24108. Calculate r(-11).
26
Let u(m) = 425*m - 15278. Determine u(36).
22
Let w(u) = 5312*u**2 - 2653*u + 2652. Calculate w(1).
5311
Let f(v) = -1648*v + 349372. Give f(212).
-4
Let y(o) = -2*o**3 + 175*o**2 + 55*o + 2984. Determine y(88).
80
Let c(u) = -94883*u + 379529. What is c(4)?
-3
Let g(p) = -11*p**2 - 245*p - 69. What is g(-22)?
-3
Let y(f) = 67*f**3 + 18*f**2 + 38*f + 18. What is y(-3)?
-1743
Let x(j) = 97*j**2 + 81*j - 2019. What is x(-5)?
1
Let v(s) = -s**3 + 149*s**2 - 282*s - 1785. Give v(147).
-21
Let v(z) = -785*z - 8601. Determine v(-11).
34
Let y(u) = -u**3 - 46*u**2 + 122*u - 1337. Calculate y(-51).
5446
Let l(w) = 14364*w + 316014. Calculate l(-22).
6
Let j(w) = -w**3 - 1768*w**2 - 92555*w + 50. Give j(-54).
-4
Let u(t) = 9*t**2 - 624*t + 7344. What is u(12)?
1152
Let x(q) = -704*q - 5246. Calculate x(-7).
-318
Let c(s) = 142906*s + 1286155. Calculate c(-9).
1
Let u(o) = -176*o + 8802. Calculate u(50).
2
Let a(g) = 15*g**2 - 404*g - 12188. Give a(45).
7
Let l(f) = 718*f + 1614. Calculate l(-3).
-540
Let u(l) = 242*l**2 - 8948*l + 6. Determine u(37).
228
Let g(k) = -11969*k - 646330. What is g(-54)?
-4
Let g(p) = -219*p - 2857. Give g(-27).
3056
Let v(b) = 12093*b + 1390702. Determine v(-115).
7
Let r(x) = -3*x**2 + 195*x - 311. Give r(64).
-119
Let s(p) = -992*p - 103. Determine s(0).
-103
Let m(i) = 625448*i + 625452. C
|
{
"pile_set_name": "DM Mathematics"
}
|
94. Suppose 3*f - k = 2*j, -29*j + 27*j + 38 = 4*f. Solve -10 + f = r for r.
-3
Let q be (12 + 86/(-8))*20. Solve -81 = 14*n - q for n.
-4
Let q be (-12)/(-10)*(-3)/((-54)/10770). Suppose -414 = 16*p - q. Solve 10 = p*z - 24*z for z.
-2
Suppose 539 = 40*j - 941. Solve j = 6*a + 13 for a.
4
Let d be 71/8 + 76/352 + (-5)/55. Solve -d*v + 5*v = 0 for v.
0
Let s(a) = 11*a**3 - 3*a**2 - a + 3. Suppose -5*o + 6 = -4*k, -2*k = -6*k + 2*o. Let m be s(k). Solve -m*t + 3 = -13*t for t.
-1
Suppose -c + 12 = -2*m, 4*c = -2*m - 5 + 3. Suppose c*i = -i - i. Suppose 5*r = -j + 6*r + 5, i = -4*r + 4. Solve -j*x = -3*x - 9 for x.
3
Let s(m) = 2*m**2 + 26*m + 24. Let w(l) = 3*l**2 + 39*l + 35. Let o(p) = -7*s(p) + 5*w(p). Let g be o(-13). Solve -2*u + g*u = 25 for u.
5
Let y be (2/8 + -6*4443/(-24))/1. Solve -1104*b + y*b + 7 = 0 for b.
-1
Let y(p) = 170*p**2 - 3*p**3 - 8*p + 2*p**3 - 12 - 177*p**2. Let n be y(-6). Solve -o = -n*o for o.
0
Let y = -3439 - -3452. Solve -y = n - 15 for n.
2
Let g be 2/3*693/154. Let x be 47/(-141) - (-49)/g. Let d be -1 + (-3 - (-12)/3). Solve 8*n - 12*n - x = d for n.
-4
Let f(b) = b + 2. Let g be f(-2). Let c(a) = -a**2 + a + 16. Let w be c(4). Suppose -w*t + 2*k + 16 = 0, 2*k + 1 = -t - 0*k. Solve 9 + g = t*r for r.
3
Let j(t) = -118*t**3 - 4*t**2 - 3*t - 2. Let c be j(4). Let i be c/(-91) + (8/26)/2. Let k be 3/((i/(-16))/(-7)). Solve 0*u - 16 = -k*u for u.
4
Suppose h = -j + 8, 0*j = 2*j - 2*h. Suppose 4*t = 5*k - 25, -2*t + k + 13 = -3*t. Let a be 5*((-16)/40 - 14/t). Solve a*i + 16 = -j for i.
-4
Suppose 0 = 4*w - 3*y - 1252, -2607*w + 2612*w + 3*y = 1538. Solve 311 = q + w for q.
1
Suppose 0 = -0*v + 4*v - 4. Let m(w) = -w + 15. Let x = -44 + 52. Let p be m(x). Solve 4*t = -v - p for t.
-2
Let i be ((-5)/(-20))/(2/16). Suppose -i*s = -7*s - 2*p, 0 = -2*s + 5*p. Solve s*j = 2*j for j.
0
Suppose p = -5*c + 2, 4*c - 2 - 11 = 3*p. Solve 6*u - c + 7 = 0 for u.
-1
Suppose -3*i + 3*a + 0*a = -24, -8 = -4*i - 2*a. Let y = -72 + 72. Suppose 2*t = p - y*t + 9, 4*t - 23 = -3*p. Solve p + i = u for u.
5
Suppose 26 - 91 = -13*d. Suppose -928*s - d = -929*s. Solve s*v + 7*v = -48 for v.
-4
Let x = -37 - -39. Let c(v) = 9*v - 10. Let a be c(x). Let u = a + 2. Solve -3*y + u = -y for y.
5
Let w = 378 + -374. Suppose w*l - 2*v = 10 - 0, 2*l + 4*v = -20. Solve l = 5*i - 5 + 25 for i.
-4
Let i = 10145 - 10138. Solve 0 = 33*r + i - 205 for r.
6
Let c be 8/(-3)*48/1408*-11. Let g = -13 + 8. Let q(x) = x**3 + 5*x**2 - x. Let l be q(g). Solve 0 = -p + l - c for p.
4
Suppose 0 = 4*f + 4*k - 208, -5*k = 264 - 269. Solve -33 - f = -14*z for z.
6
Let z(v) = v - 2. Let u be z(2). Let o = 81 - 145. Let c = -59 - o. Solve 2*k - 1 + c = u for k.
-2
Let n = 5 - 0. Suppose 5*v = 2*d - 8, 8 = 3*d - d. Suppose -20*j + 16*j + 4*a + 12 = v, -3*j + 4 = 2*a. Solve -j*l - 12 = -n*l for l.
4
Suppose 39*h + 47*h = 10750. Solve 0 = -7*v + 104 - h for v.
-3
Suppose -5*d + 7 + 12 = 2*j, -3*j = -4*d + 6. Let f(i) = -i**3 + 4*i**2 - i - 3. Let n be f(d). Solve n*z = 12 + 3 for z.
5
Let w = 68 - 66. Let t be 6/21 + (-30)/7 - (-1794)/138. Solve t - 5 = -w*m for m.
-2
Let s(y) = 2*y**3 - 4*y**2 + y + 3. Suppose 7*p = 12*p. Suppose 5*a + 0 - 10 = p. Let d be s(a). Solve 0 = r - d for r.
5
Suppose -4*g - 5*r = -484, -15*r - 516 = -4*g - 12*r. Solve -117*p = -g*p - 36 for p.
-4
Let o(y) = -y**3 + 16*y**2 - 16*y + 11. Let p be o(15). Let u be -5*-2*((-444)/15)/p. Let j = 81 - u. Solve -5*t - j + 27 = 0 for t.
4
Suppose 0 = 5*z - 5*u - 45, -5*u - 5 - 4 = -z. Solve -36*q = -z*q for q.
0
Let v(x) = x**2 - 4*x. Let u be v(4). Let b = -614 - -609. Let g be b/((-4)/8*5). Solve u = c - 0 - g for c.
2
Let n = 131 + -129. Suppose 2 = -2*g, -4*g - 33 = -n*t - g. Solve t = 4*k - 9*k for k.
-3
Let d(t) = t**3 + 5*t**2 - 7*t - 2. Let q be d(-6). Let o be (-74 - -41)*(-2)/22. Let k(u) = 2*u**3 - 12*u**2 + 2. Let b be k(6). Solve -q = b*r - o*r for r.
4
Suppose -4*n - 3*x + 37 = 0, -n - 3*x + 8 + 8 = 0. Suppose 53*q - 24452 = 19909. Let c = -835 + q. Solve -n = 5*g - c for g.
-1
Suppose -105 - 65 = -10*h. Suppose -2*t = -17 + h. Solve t = -5*j - 39 + 24 for j.
-3
Let j = -191 + 178. Let l(g) = -4*g - 38. Let p be l(j). Solve -p = -2*c - 10 for c.
2
Suppose 4*m + h = -58, -2*m + 7*m + 3*h = -69. Let s be (-1)/(0 - (-3)/m). Solve 0 = -s*v + 10*v - 10 for v.
2
Let x(h) = -h**2 - 5*h + 12. Let b be x(-5). Suppose -2*t = 4*t - b. Suppose -y = -3*y - 2, -4*m + t*y + 2 = 0. Solve m*q = 3*q + 3 for q.
-1
Let f(n) = 6*n + 41. Let m be f(-15). Let h = 53 + m. Let w(k) = -k**3 - 11*k**2 + 11*k - 12. Let o be w(-12). Solve 2*x + o = h for x.
2
Let a(x) = -x + 42. Suppose m - 45 = -3*i, 2*i - 39 = -i - 3*m. Let k be a(i). Solve -k = -8*q + 14 for q.
5
Suppose 4*s = 3*u - 72, -u + 6 = -2*s - 18. Solve -6*d - 18 + u = 0 for d.
1
Let w be (10*-7)/(-6 + 208/39). Solve 0 = 100*i - w*i - 25 for i.
-5
Suppose g = 2*g - 6*g. Let u = 28 + -28. Solve g = p - u*p for p.
0
Let y(a) = -154*a**3 + 5*a**2 + 4*a + 3. Let i be y(-1). Let g = i + -156. Solve -g = p - 0 for p.
-2
Let b be (66/18*-6)/((-4)/2). Let m(y) = -y**3 + 10*y**2 + 10*y + 36. Let z be m(b). Solve 10*p - z = 15*p for p.
-5
Let v = -2312 + 2337. Solve 11*a + 108 = -v*a for a.
-3
Suppose z + 4*p = 3*z - 58, 0 = -3*p + 3. Let n = 66 - z. Let t be (-2)/14 + 22/n*5. Solve t*c + 14 = 5 for c.
-3
Let p = 9 - 5. Let g(w) = -w**2 - 18*w**2 + 3 - w - 22*w**3 + p*w**2 + 21*w**3. Let s be g(-15). Solve -s = -5*f - 3 for f.
3
Let j be (-43)/2*(5 + 11). Let s = j + 347. Solve 0 = s*z + 8 + 4 for z.
-4
Let k be (2 + 0)/(4/18). Let g be 3/k - 238/(-6). Let d = g + -39. Solve 0 = -3*j + 2 + d for j.
1
Suppose -2*j - 8 + 8 = -16. Solve -16*o - 8 + j = 0 for o.
0
Suppose 2*o + 58*o - 1215 = -75*o. Solve -34 = -o*f - 97 for f.
-7
Suppose -11*k - 77 = -121. Let w be (-98)/(-8) - 1/4. Suppose -2*r = k*j + 16, w = -5*j - 13. Solve 5*s + r = -3 for s.
-1
Let i be 8/(-20)*(-2 - -3*4). Let q be (-16)/(-88) - (96/(-11))/i. Let h be (q/7 + 10/(-14))/(-1). Solve n + 3 + h = 0 for n.
-4
Let q(d) = 9*d**2 - 2*d + 2. Let g be q(4). Let j = -415251 - -415253. Solve -j = -136*s + g*s for s.
-1
Suppose 11*v - o + 22 = 15*v, v - 2*o = 1. Solve -v = 13*b - 5 for b.
0
Let q be 5 + 32/(-24) - (-2)/(-3). Suppose -35*b + 75 = -10*b. Solve 6 = -q*k - b for k.
-3
Let y(u) = 23*u**2 + 120*u - 118. Let o be y(1). Solve 3*v = 8*v - o for v.
5
Let i be (98/2744 + 166/56)/((-3)/(-8)). Solve -9*b + i - 35 = 0 for b.
-3
Let q(g) = 2*g**2 - 17*g + 72. Let u be q(17). Let j = -346 + u. Solve -6*i + i = j for i.
-3
Suppose -3*t - p = -31, t + 3*p - 3 = 2*t. Let c = t + -9. Suppose -27 = -c*v - 9*v. Solve -v*g = 8 + 1 for g.
-3
Let m(x) = x**3 + 19*x**2 - 45*x - 47. Let n be m(-21). Suppose n*p = 11*p - 3*g + 20, 4*p - 16 = -3*g. Solve 16 = -0*v + p*v for v.
4
Let h be -2*(-1)/3*60. Suppose 3*s - 5 = h. Suppose -o - 11*n + 16 = -7*n, -4*o = 4*n - 28. Solve o*d + 5 = -s for d.
-5
Let o(a) = -a - 21. Let n be o(-22). Suppose -2*k + 4*s + n = -k, 5*s = -3*k + 20. Solve k*j - 7 = 8 for j.
3
Suppose -4*b = b - 5*c - 120, -16 = 4*c. Suppose -7*t = -b*t. Solve -2*g - 5 - 1 = t for g.
-3
Let t = 798 - 795. Suppose 3*c = -5*o - 10 + 44, 30 = t*c + 3*o. Solve 3*i - c = 11*i for i.
-1
Let g be -2*(-3)/4*(-120)/(-18). Let j be 5/(g/(-15) + 1). Solve 3 - j = -4*s for s.
3
Let p = 226 - 33. Let j = -190 + p. Let d be 1*1/2*0. Solve j*x = -6 - d for x.
-2
Let d be 15/8 + (-7)/(-56). Let c be 2*(-93)/(-14) - 2/7. Let v = c + 3. Solve v = 6*m - d*m for m.
4
Suppose -3 = 3*j - 0*n - n, 5*n = 5*j + 15. Suppose 5*d + 2*i - 8 = 3*d, -i + 1 = j. Let z be (-1)/(2/(-4)) + 0. Solve d = o + z*o for o.
1
Suppose 2*o = 5*o - 54. Let s(m) = -150*m - 448. Let f be s(-3). Solve f*p - o + 24 = 0 for p.
-3
Suppose -8*w + 10*w = 0. Let j be 3/(-2)*(-6 - w - -4). Solve -12 + 0 = j*c for c.
-4
Suppose 2*x = 5*k - 68, 4*k - k = 6. Let n = 32 + x. Suppose -o = 3*d - 5*o - 22, -4*d - o = -23. Solve 0 = -n*m + m - d for m.
-3
Suppose 13*m - 624 + 104 = 0. Let f = 25 + -10. Let w(i) = -i**2 - 10*i - 4. Let b be w(-9). Solve -b*j + f = m for j.
-5
Suppose 5 = -4*f + 9. Let b be ((-48)/(-40))/(f/(-10)). Let p = 12 + b. Solve -y + p = -3 for y.
3
Suppose -q + x + 2 = 0, 0*q + 3*x = -5*q + 10. Suppose 8*r = 22*r - 8*r. Suppose r = 10*j + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
2*b, b - 54 = -h - 4*b. Suppose 0 = -11*f + h - 4. Calculate the remainder when f is divided by 3.
2
Let w(t) = -142*t + 935. What is the remainder when w(3) is divided by 81?
23
Let b = -15091 + 18377. Calculate the remainder when b is divided by 30.
16
Suppose 11*l = 16*l - 65. Suppose 0 = -17*z + l*z + 104. What is the remainder when 154 is divided by z?
24
Let v be (((-805)/(-14))/(-5))/(2/(-4)). Let w = -22 + v. Calculate the remainder when 125 is divided by (-6)/2 - -17*w/1.
13
Let p = 6634 + -6452. Calculate the remainder when 581 is divided by p.
35
Calculate the remainder when 4238/6 - (-2)/(-6) is divided by (-147125)/(-2475) + (-1 - (-10)/18).
57
Suppose r + 2*r - 72 = 0. What is the remainder when 7 + 0 + 8*(-300)/(-15) is divided by r?
23
Suppose 21*y - 6*y = 27004 + 14006. Calculate the remainder when y is divided by 36.
34
Suppose -u = -2*w + 194, 2*w + 151 = -5*u - 771. Let k = -178 - u. Calculate the remainder when 13 is divided by k.
5
Calculate the remainder when (69 - 10) + 2*9/(-6) is divided by (30/4)/((-6)/(-12)).
11
Let b(x) = 35*x + 1438. What is the remainder when b(-16) is divided by 147?
143
Suppose 2*z = 3*m + 52, -22 = 4*m - 6. What is the remainder when 175 is divided by z?
15
Let k(r) = -29*r - 46. Let l be k(-3). Suppose 0 = -20*f + l + 499. What is the remainder when 106 is divided by f?
25
Let s = -83 - -81. Calculate the remainder when 101 is divided by -5*(-3 + -1) + (-4 - s).
11
Suppose y - 1832 = -3*d - 1623, -3*y - 5*d = -599. What is the remainder when 747 is divided by y?
183
Let i be (-246)/82*584/(-6). Let p = i + -213. Calculate the remainder when p is divided by 20.
19
Suppose 13*p - 16*p = -36. Let b(n) = 3*n**2 + 4. Let m be b(-3). Calculate the remainder when (3 - 2)*(0 + m) is divided by p.
7
Suppose 8 - 194 = -3*x. Let l be 1*(0 + (-16)/4). Calculate the remainder when x is divided by (-38)/l + (-27)/18.
6
Suppose 262 = 2*b - 4*i - 90, -12 = -2*i. Calculate the remainder when 546 is divided by b.
170
Suppose -23 = -3*z + r, 5*r + 3 - 8 = 0. Calculate the remainder when 24 + 5/(10/4) is divided by z.
2
Suppose 4*o = 499 + 373. Let b = 229 - o. What is the remainder when 45 is divided by b?
1
Suppose 5*k - 9*k = -96. Suppose 48*h - k = 46*h. Calculate the remainder when h/((-2)/(-28)*4) is divided by 9.
6
Calculate the remainder when (7 - (-2076)/(-18))/(1/(-3)) is divided by 38.
21
Let o = 24 - 25. Suppose -458 - 60 = -14*x. What is the remainder when x is divided by (-8)/((8/20)/o)?
17
Let i(l) = -6*l**2 + 407*l + 110. Calculate the remainder when 2974 is divided by i(68).
34
Suppose a - 2*k - 8 = 3, 5*k = -15. Suppose 5*c - 15 = a. What is the remainder when 17 is divided by c?
1
Calculate the remainder when 408 is divided by 3 + 44 + -3 - (7 - 9).
40
Let t(g) = g**2 + 2*g - 13. Let l be t(-8). Suppose 3*d - 8*d - 125 = -5*w, 2*w = -3*d + l. Calculate the remainder when 130 + (-1 - 0) - -2 is divided by w.
21
What is the remainder when (-1 + 3)*((-3351275)/(-50))/37 is divided by 125?
123
Suppose 271*k + 1378 = 297*k. Calculate the remainder when 152 is divided by k.
46
Suppose 2*j + 2620 = 5*t, -28*j + 24*j = 5*t - 2620. Suppose 6*v - 578 = -t. What is the remainder when 26 is divided by v?
8
Let v = -5432 - -5461. Let z(c) = -6*c**2 + 2*c - 1. Let l be z(1). Let s = l - -13. Calculate the remainder when v is divided by s.
5
Suppose t = 5*t + 120. Suppose -98*q = -46*q - 22152. What is the remainder when q/5 - ((-42)/t)/7 is divided by 11?
8
What is the remainder when 777 is divided by (-5432)/(-63)*(-3)/(-10) + (-2)/(-15)?
23
Let c be (-51)/(-21) + -3 + (-18)/(-7). Suppose -5*n - 9 = v - 39, -4*n = c*v - 30. Suppose -10*u = -n*u - 60. What is the remainder when u is divided by 5?
2
Suppose -5*o + 53 = 4*x, -3*o + 5*x + 39 - 22 = 0. Suppose 0 = 3*y + o, 0 = 4*j - 24*y + 29*y - 45. What is the remainder when 16 is divided by j?
1
Let g(i) = -2*i**2 + 5*i + 7. Let y be g(3). Suppose d - 6*d - q = -200, -y*d + 2*q = -174. Calculate the remainder when 77 is divided by d.
36
Suppose 0 = -12*p + 25 + 119. Suppose i - 4*i - 63 = 0. What is the remainder when 106 is divided by p/(-28) - 261/i?
10
Let v = 146 + -99. Suppose -5*w - j - 4 = -39, 4*w = 3*j + v. What is the remainder when 82 is divided by w?
2
Let k(c) = 7*c + 5. Let r be k(10). Suppose -r = -h - 2*h. Let p = h + 3. What is the remainder when p is divided by 16?
12
Suppose -4*q - 5 = -5*q. Suppose 2*g + 21 = -q*g. Calculate the remainder when 30 is divided by (g + 44/16)*(-68 - 0).
13
Let i(m) = -m**2 + 100*m - 395. Calculate the remainder when i(52) is divided by 91.
8
Let q = -409 + 1131. Let r = q - 690. Calculate the remainder when 133 is divided by r.
5
Let f = -55 + 59. Let o(c) = -5*c**2 + 7*c - 2. Let s(i) = 14*i**2 - 20*i + 7. Let y(v) = f*s(v) + 11*o(v). What is the remainder when 39 is divided by y(4)?
9
Suppose 5*f - c - 134 = 0, -18*f + 19*f - 2*c = 16. Calculate the remainder when 1091 is divided by f.
27
Suppose 2*z = -5*d + 3142, -3*d + 5*d = -2*z + 3130. What is the remainder when z is divided by 129?
13
Suppose -8 = 91*o - 645. Suppose 4 = -4*x, 0*x + 226 = 5*n - x. What is the remainder when n is divided by o?
3
What is the remainder when 728 is divided by (497/35)/(4/(-10))*-2?
18
Let t(b) = 3*b - 2. Suppose 23 = -2*j + 97. Let w = j - 30. What is the remainder when t(7) is divided by w?
5
Let d(a) = 4*a**2 - 8*a + 9. Let k be d(1). Suppose 0 = 10*o - k*o - 2415. Calculate the remainder when o is divided by 18.
15
Let b(z) = z**2 + 15*z - 55. Suppose 2*j - 2*p + 50 = 0, -4 - 6 = -2*p. Let w = j + 32. What is the remainder when b(4) is divided by w?
9
Let h(m) = m**2 + 6*m + 1 - 4 - 10. Let q be h(-8). What is the remainder when (-238)/(-17) + q/1 is divided by 5?
2
Let u(i) = -3*i**2 - 68*i - 20. Let z be u(-31). Let c = -750 - z. Let d(g) = -g**3 + 7*g**2 - 6*g. Calculate the remainder when c is divided by d(4).
21
Let w(y) = y**3 + 58*y**2 + 52*y - 233. Calculate the remainder when 216 is divided by w(-57).
8
Let f be (-1)/(0 + (-6)/(-12)*-2). Suppose 0 = a - 10 - f. What is the remainder when 41 is divided by a?
8
Let n be -4*3/30*-5. Let a(u) = -u**2 - 2*u**2 - 217 + 214 + n*u + 8*u**3. Calculate the remainder when 207 is divided by a(2).
48
Suppose -338 = -2*m - 3*k, 2*m - 452 = 3*k - 138. Calculate the remainder when m is divided by 34.
27
Suppose 2*i - 1489 = -4*p + 669, 4*i = -28. What is the remainder when p is divided by 6?
3
Let j(y) = -y**2 + 26*y - 94. Let n be j(5). Suppose 0 = -n*w + 158 + 194. What is the remainder when w is divided by 5?
2
Let z be (-2)/14 + (-122)/(-14)*-53. Calculate the remainder when 549 is divided by (2/6)/((-14)/z).
10
Calculate the remainder when 70 is divided by (5 - -32) + 4 + (-21)/3.
2
Calculate the remainder when 455 is divided by 1 - 1 - 15*16/240 - -65.
7
Suppose -2*d + 2*h = 600 - 690, -5*h = 0. What is the remainder when 854 is divided by d?
44
Suppose -70*v + 2898 - 518 = 0. What is the remainder when 312 is divided by v?
6
Calculate the remainder when 33587 is divided by 11 - 57/((-399)/112).
26
Let g(r) = -19*r**2 + r**3 - 24*r**2 + 29*r**2 - 28*r - 11. Suppose 4*w - 27 = 3*w. What is the remainder when g(16) is divided by w?
26
Let n(w) = w**2 - 39*w - 277. What is the remainder when n(-53) is divided by 78?
75
Let o be (-26)/65 - 1337/(-5). Suppose 0 = o*d - 263*d - 2508. Calculate the remainder when d is divided by 30.
27
Let k = -5120 + 5187. Calculate the remainder when 481 is divided by k.
12
Let t(p) = -p**3 - 14*p**2 - 82*p - 692. Let u = -19 + 35. Calculate the remainder when u is divided by t(-12).
0
Let m = 18810 + -18615. Calculate the remainder when 2137 is divided by m.
187
Let c(n) = -n**3 - 6*n**2 - n + 6. Let w = -3730 - -3841. What is the remainder when w is divided by c(-6)?
3
Suppose 442 = 24*o + 346 - 1152. Suppose -672 = -4*q + 4*b, 3*q - 7*q = -5*b - 677. What is the remainder when q is divided by o?
7
Let j = -2209 + 2243. What is the remainder when 309 is divided by j?
3
Suppose 3*a - 2*u = 14, 15*u - 20 = -4*a + 17*u. What is the remainder when (-11)/((-88)/736) + 0 is divided by a?
2
What is the remainder when (-78)/10*(11 + -26) is divided by (-15)/((3/(-5))/((-12)/(-30)))?
7
Let q(m) = 7*m**2 - 651*m - 163. What is the remainder whe
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 2*z + 3. Determine j*i(a) - 2*m(a).
2*a**3 - a**2 - 1
Let a(r) = 4*r**3 - 5*r - 7. Let t(n) = -12*n**3 + 14*n + 20. Let z = 73 - 81. Let o = z + -6. Calculate o*a(w) - 5*t(w).
4*w**3 - 2
Suppose -10*b + 4*b = 0. Let a(v) = -2 + 18*v + b + 5*v**2 - 20*v. Let r(d) = 51*d**2 - 21*d - 21. Calculate 21*a(q) - 2*r(q).
3*q**2
Let v(r) = 5*r + 11. Let o(k) = -16*k - 44. Calculate -2*o(i) - 9*v(i).
-13*i - 11
Let b(k) = 9*k**2 - 4*k - 3. Let z(r) = 8*r**2 - 3*r - 2. What is 4*b(j) - 5*z(j)?
-4*j**2 - j - 2
Let i(g) = g**3 - 3*g**2 - 7*g + 3. Let u(v) = v**3 + 2*v**2 + 7*v - 2. Calculate 2*i(c) + 3*u(c).
5*c**3 + 7*c
Let l(u) = 4*u**3 + 5*u**2 - 11. Let y(r) = r**3 + 2*r**2 - 4. Let n be (24/(-32))/(1/4). Give n*l(m) + 8*y(m).
-4*m**3 + m**2 + 1
Let q(t) = 5 + 5*t + 2 - 2. Let y(d) = 1. Suppose 11*m = 7*m - 20. Give m*y(z) + q(z).
5*z
Let j(f) = -f**2 + 2 + 3*f - 8 + 3*f. Let u(x) = 4 + 0 - 5 + x. Let t = -3586 + 3580. What is t*u(q) + j(q)?
-q**2
Let j(z) = 4*z**2 - 56*z + 52*z - 2*z**2 - 5*z**2. Let w(o) = 12*o**2 + 15*o. Let h = 10 + -6. Give h*w(f) + 15*j(f).
3*f**2
Let d(w) = -13*w**2 + 6*w + 33. Let c(m) = -m**2 + m + 1. What is 6*c(n) - d(n)?
7*n**2 - 27
Let i(k) = -k**2 - 6*k. Let r(j) = 41*j**2 + 10*j. Determine 2*i(x) + r(x).
39*x**2 - 2*x
Let k(j) be the second derivative of j**3/2 + 2*j**2 + 2*j - 21. Let c(v) = -1. Let n be -4 + 3 + 0 + 0. Determine n*k(y) - 6*c(y).
-3*y + 2
Let m(l) = -l + 2. Let k(f) be the second derivative of 2/3*f**3 + 3/2*f**2 - 8*f + 0. Let a be k(2). Let g(j) = -6*j + 11. Determine a*m(u) - 2*g(u).
u
Let w(f) = -5*f - 2. Let v(o) = -7*o - 5. Let p(z) = z + 1. Let k(g) = -3*p(g) - v(g). What is 3*k(x) + 2*w(x)?
2*x + 2
Let k be 30/360 - (-85)/(-12). Let c(b) = -24*b**2. Let v(f) = -12*f**2. Calculate k*v(n) + 4*c(n).
-12*n**2
Let k(p) = -p**2 - 4*p - 2. Let n(b) = -b - 1. Let s = -245 + 244. Calculate s*k(g) + 3*n(g).
g**2 + g - 1
Suppose -156*k + 42 = -150*k. Let d(p) = 5*p**2 + 7*p - 13. Let w(s) = -3*s**2 - 4*s + 7. What is k*w(l) + 4*d(l)?
-l**2 - 3
Let n(u) = 16*u**2 - 35*u - 15. Let f(m) = -14*m**2 + 32*m + 14. What is 7*f(p) + 6*n(p)?
-2*p**2 + 14*p + 8
Suppose y - 2*y + 2*c - 20 = 0, -2*y + 3*c = 40. Let r(g) = -6*g**2 - 5*g. Let x(b) = -b**2 - b. Determine y*x(d) + 4*r(d).
-4*d**2
Let m(i) be the third derivative of i**4/24 - 6*i**2. Let z(u) = 3*u - 1. Suppose 0 = c - 1. What is c*z(q) - m(q)?
2*q - 1
Let a be (1/(-3))/((7 - 5)/6). Let w(f) = f - 2. Let t(y) = -y. Give a*w(l) - 4*t(l).
3*l + 2
Let q(k) = -9*k - 7. Suppose 3*y = 5*t + 51 - 23, -3*t + 12 = 3*y. Let u(h) = h + 1. Give y*u(f) + q(f).
-3*f - 1
Let q(s) = -18*s - 1. Let g(u) = u. Determine 10*g(z) + 2*q(z).
-26*z - 2
Let z(y) = -y - 147. Let v(n) = -n - 146. What is -5*v(b) + 4*z(b)?
b + 142
Let g(y) be the second derivative of y**4/3 - 5*y**3/6 - y**2 - 23*y + 1. Let z(s) = 9*s**2 - 11*s - 4. Give 5*g(m) - 2*z(m).
2*m**2 - 3*m - 2
Let o(p) = 17*p**2 + p + 2. Let t(x) = 2*x**2 + x + 1. Give o(k) - t(k).
15*k**2 + 1
Let d(j) = 3*j**3 + 4*j**2 - 2*j - 4. Let k be (-88)/20 - (-10)/25. Let a(q) = -q**3 - q**2 + q + 1. Determine k*a(f) - d(f).
f**3 - 2*f
Let q(n) = 29*n**2 + 3*n + 160. Let p(b) = 10*b**2 + b + 53. Determine -11*p(d) + 4*q(d).
6*d**2 + d + 57
Let z(f) = -47*f**3 - 9*f**2 - 6*f - 5. Let b(t) = -94*t**3 - 19*t**2 - 13*t - 11. Give 6*b(w) - 13*z(w).
47*w**3 + 3*w**2 - 1
Let l(m) = 10*m**2 + 9*m + 1. Let v(z) = 11*z**2 + 11*z + 3. Calculate 5*l(c) - 4*v(c).
6*c**2 + c - 7
Let a(h) = 7*h + 3. Let o(t) = -8*t - 5. Let i(l) = 4*a(l) + 3*o(l). Let n(y) = -44*y + 32. Determine -32*i(g) - 3*n(g).
4*g
Let j(s) = -4*s**3 - 6*s**2 - 2*s - 5. Let d(k) = -3*k**3 - 5*k**2 - k - 4. Calculate -3*d(y) + 2*j(y).
y**3 + 3*y**2 - y + 2
Let m(q) = 28. Let h(z) = 47. Let r(u) = -3*h(u) + 5*m(u). Let g(p) = -p + 6. Give -g(s) - r(s).
s - 5
Let r(b) = 2. Let c(n) be the third derivative of -n**4/24 - 5*n**3/6 - 78*n**2. Calculate 2*c(s) + 6*r(s).
-2*s + 2
Let g be ((-33)/44)/((-6)/24). Let r(s) = -9*s**2 - 7*s + 7. Let k(j) = 5*j**2 + 4*j - 4. Determine g*r(c) + 5*k(c).
-2*c**2 - c + 1
Let l(j) = -15*j + 3. Let m(r) = 28*r - 7. Determine 11*l(v) + 6*m(v).
3*v - 9
Let x(y) = -171*y + 86*y + 86*y. Let g(n) = -n - 1. Calculate -3*g(v) - 7*x(v).
-4*v + 3
Let y(f) = -2*f**2 + 6*f - 4. Let v(u) = -u + 1. Suppose 6*n - 60 = 3*n. Suppose -7*o + n - 62 = 0. Calculate o*v(g) - y(g).
2*g**2 - 2
Let f(w) = w**3 + 2*w**2 - 3*w + 1. Let j(g) = -g**3 + 3*g**2 + 3*g - 6. What is -f(n) + j(n)?
-2*n**3 + n**2 + 6*n - 7
Let n(j) = -2*j + 1. Let h be 12/8*2/3. Let s = -408 + 404. Let b(r) be the third derivative of -r**4/24 - r**2. What is h*n(w) + s*b(w)?
2*w + 1
Let i(r) = -3*r**3 - 9*r - 5. Let t(u) be the second derivative of -u**5/20 - 2*u**3/3 - u**2 + 2*u - 23. What is -2*i(h) + 5*t(h)?
h**3 - 2*h
Let u(s) = 5*s + 5. Let v = 987 - 993. Let a(i) = 6*i + 5. Determine v*a(z) + 7*u(z).
-z + 5
Let s(i) = -i + 6. Let o = 1305 + -1309. Let a(x) = 2*x - 7. Determine o*s(n) - 3*a(n).
-2*n - 3
Let b(i) = -5*i + 3. Let o(c) = -c - 1. Let m = 30 - 29. What is m*b(f) - 3*o(f)?
-2*f + 6
Let u(d) = 5*d**2 + 2*d + 6. Let m(x) = 11*x**2 + 4*x + 13. Calculate 6*m(o) - 13*u(o).
o**2 - 2*o
Let b(k) be the third derivative of 13*k**5/60 + k**4/6 + 7*k**3/6 - 117*k**2. Let w(i) = -4*i**2 - i - 2. What is -2*b(c) - 7*w(c)?
2*c**2 - c
Let t(v) = 5*v**2 + 4*v - 1. Let o(g) = -14*g**2 - 11*g + 2. Suppose 0 = -10*c + 5*c, c - 15 = 5*b. Determine b*o(h) - 8*t(h).
2*h**2 + h + 2
Let l(q) = 6*q**3 + 7*q + 5. Suppose 2*d - 7*j = -2*j + 12, -4*d - 3*j = 28. Let p(h) = 17*h**3 + 20*h + 14. Calculate d*p(m) + 11*l(m).
-2*m**3 - 3*m - 1
Let u(y) = 4*y**2 + 2*y + 1. Let t(g) = -24*g**2 - 12*g - 45. Let w(j) = -12*j**2 - 6*j - 21. Let a(k) = -6*t(k) + 13*w(k). What is 4*a(m) + 11*u(m)?
-4*m**2 - 2*m - 1
Let n(q) = 10*q - 3. Let k be (-6 + 5)*-7 + (-4)/(-1). Let u(t) = -29*t + 8. Calculate k*n(d) + 4*u(d).
-6*d - 1
Let f(m) = -3*m**2 + 14*m - 4. Let j(v) = -6*v**2 + 30*v - 7. Give -7*f(s) + 4*j(s).
-3*s**2 + 22*s
Let n(j) = -j + 1. Let h(c) = 3*c**2 + 5*c - 14. Let i = 2 + -7. Let s(k) = i*n(k) - h(k). Let r(l) = 1. Suppose 2*f = -2*f + 4. Calculate f*s(b) - 9*r(b).
-3*b**2
Let j(l) be the first derivative of 2/3*l**3 - 4*l - 3*l**2 + 36 - 1/2*l**4. Let t(f) = 0*f**3 - 3 + f**2 - 5*f + 0*f - f**3. Calculate -3*j(v) + 4*t(v).
2*v**3 - 2*v**2 - 2*v
Let m be 153/(-34)*(-4)/9. Let l(s) = 1 + s + 18*s**m + 10*s**2 - 27*s**2. Let g(v) = v**2 - 2. Give -g(i) - 2*l(i).
-3*i**2 - 2*i
Let a = 8 - 11. Let o(m) = 5*m**3. Let r(p) be the first derivative of p**4/2 - 1191. What is a*o(x) + 8*r(x)?
x**3
Let n be (-11)/((2/(-2))/1). Let m(c) = -c**2 + 0*c - 5*c + 16*c**2 - 6*c. Let r(l) = 3*l**2 - 11*l**2 + 6*l + 0*l. What is n*r(b) + 6*m(b)?
2*b**2
Let c(k) = -118*k - 1. Let t(u) = 121*u + 1. Give 2*c(v) + 3*t(v).
127*v + 1
Let a(j) = j**2 + j - 2. Let o(x) = -53 + 171 - 3*x + x**2 - 58 - 59 + 2*x. Determine a(p) + o(p).
2*p**2 - 1
Let q(g) = -304*g**2 + 13*g - 7. Let z(h) = 203*h**2 - 9*h + 5. Calculate 5*q(t) + 7*z(t).
-99*t**2 + 2*t
Let p(q) = -10*q + 16. Let u(v) = -11 + 16 + 2*v + 5. Let w be u(-8). Let x be -4 + -2 + 3 - w. Let m(g) = -2*g + 3. Calculate x*p(c) - 16*m(c).
2*c
Let m(f) = -2*f + 1. Suppose -384 = 31*y - 136. Let g(s) = -6*s + 3. Let j = -1 + 4. Calculate j*g(v) + y*m(v).
-2*v + 1
Let i(m) = -260*m**3 - 117*m - 117. Let a(d) be the second derivative of -9*d**5/20 - 2*d**3/3 - 2*d**2 - 436*d. Give -117*a(r) + 4*i(r).
13*r**3
Let z(n) be the first derivative of -5*n**4/4 - 4*n**3/3 - 4*n + 59. Let y(t) = -t**2 - 1. Determine -4*y(u) + z(u).
-5*u**3
Let k(o) = 7 - 3*o - 7*o - 3*o. Let q(w) = -w + 1. Let s(c) = k(c) - 2*q(c). Let r(g) = 4*g - 2. Determine -8*r(a) - 3*s(a).
a + 1
Suppose m - 13 = 2*y, -2*m + 5*m = 2*y + 23. Let q(o) = 9*o - 4. Let z(g) = -8*g + 3. Let x(n) = 56*n + 779. Let d be x(-14). Give d*z(s) + y*q(s).
4*s + 1
Let b(q) = -8*q + 11. Let l(u) = -u + 2. Let z(g) = b(g) - 6*l(g). Let a(d) = -1. Calculate -2*a(k) + z(k).
-2*k + 1
Let n(s) = 9*s + 5. Let w(g) = -2*g. Let d(r) = -6*r + 2. Let c(y) = -2*d(y) + 10*w(y). Let l = -19 + 12. Calculate l*c(a) - 6*n(a).
2*a - 2
Let u(h) = h. Let n(y) = -2*y**2 + 2. Let p(t) = 9*t**2 + 4*t - 8. Let c(f) = 4*n(f) + p(f). Give -c(m) - 6*u(m).
-m
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{
"pile_set_name": "DM Mathematics"
}
|
Solve 5*r**2 + 2*r - r**2 + 20*r**3 - 18*r**3 = 0.
-1, 0
Let j be -1*(1/(-1) - -1). Let w(z) = z**3 - 4*z**2 - 2*z - 6. Let m be w(5). Let j - 9*g**3 + 3*g**2 - 1/3*g + m*g**4 = 0. Calculate g.
0, 1/3
Let w(a) be the first derivative of 2*a**3/15 - 2*a**2 + 18*a/5 - 23. Suppose w(t) = 0. Calculate t.
1, 9
Let l(v) = 6*v - 31. Let y be l(6). Let o(a) be the third derivative of -2*a**2 + 0*a**3 + 0*a**4 + 0*a + 0 - 1/30*a**y. Factor o(s).
-2*s**2
Suppose 11 = 2*p + 1. Factor 4*d**p - 4*d**3 + 2 + 3*d**2 - 9*d**2 + 6*d**4 - 2*d**2.
2*(d - 1)*(d + 1)**3*(2*d - 1)
Let x(z) be the first derivative of z**3/7 - 3*z**2/14 - 18*z/7 - 44. Suppose x(m) = 0. What is m?
-2, 3
Let w = 18 + -11. Find y, given that -3*y**4 - 6*y**2 - w*y**3 + 9*y**3 + 7*y**3 = 0.
0, 1, 2
Let g(r) be the third derivative of 1/180*r**5 + 0*r**3 + 1/1008*r**8 - 1/630*r**7 + r**2 - 1/360*r**6 + 0*r + 0*r**4 + 0. Determine m so that g(m) = 0.
-1, 0, 1
Let t(h) be the third derivative of -h**8/28 - 3*h**7/70 + h**6/8 + 3*h**5/20 - h**4/8 + 8*h**2. Determine p, given that t(p) = 0.
-1, 0, 1/4, 1
Suppose 2 - 2/3*g**2 + 4/3*g = 0. What is g?
-1, 3
Factor -8*x**2 - 8*x**2 + 5*x - 2*x + 13*x**2.
-3*x*(x - 1)
Let p(z) be the second derivative of -2/7*z**2 + 2/21*z**4 + 0 + 3/70*z**5 + 6*z - 1/21*z**3. Factor p(r).
2*(r + 1)**2*(3*r - 2)/7
Let n(c) = c**3 + 3*c - 2*c**4 + c + 5*c**2 + 7 + 0*c**4. Let f(d) = -3*d**4 + d**3 + 7*d**2 + 6*d + 10. Let t(m) = -5*f(m) + 7*n(m). Factor t(o).
(o - 1)*(o + 1)**3
Let z(v) be the second derivative of v**4/12 - 5*v**3/6 + 2*v**2 - 4*v. What is b in z(b) = 0?
1, 4
Let a = -14 - -16. Solve 2/7*g**a - 2/7 + 0*g = 0 for g.
-1, 1
Let m be (-4)/(-7) - (-72)/21. Find y, given that 20*y**m - 48*y + 48*y**3 - 2 - 1 - 13 - 4*y**2 = 0.
-2, -1, -2/5, 1
Let x(m) = -20*m**3 + 33*m**2 - 3*m + 5. Let c(v) = -60*v**3 + 100*v**2 - 8*v + 16. Let q(l) = 5*c(l) - 16*x(l). Factor q(z).
4*z*(z - 1)*(5*z - 2)
Suppose 1 = 6*h - 17. Let y(m) be the third derivative of 0*m + 0*m**h + 1/480*m**6 + 1/120*m**5 + 0 - 1/280*m**7 + 2*m**2 + 0*m**4. What is x in y(x) = 0?
-2/3, 0, 1
Suppose -2/9 + 4/9*o**3 + 2/3*o**4 - 2/3*o + 2/9*o**5 - 4/9*o**2 = 0. Calculate o.
-1, 1
Let f(x) be the third derivative of -x**6/540 + x**5/135 + 7*x**4/108 + 4*x**3/27 - 5*x**2. Factor f(r).
-2*(r - 4)*(r + 1)**2/9
Let r = 8/23 + -10/161. Let u = -1/28 + r. Determine y so that 1/4*y**2 - 1/4 - 1/4*y + u*y**3 = 0.
-1, 1
Let j = 1 + 1. Find y such that 11*y**j + 3 + 0*y**2 - 3*y**3 - 15*y + y**2 + 3 = 0.
1, 2
Suppose 16 = -4*z + 6*z. Suppose w = 5*w - z. Factor 3/4*u**w + 3/4 - 3/2*u.
3*(u - 1)**2/4
Let h(j) = -j**2 - 6*j + 5. Let i be h(-7). Let l(d) = 3*d**3 - 24*d**2 - 27*d + 9. Let q(p) = p**3 - 6*p**2 - 7*p + 2. Let z(m) = i*l(m) + 9*q(m). Factor z(u).
3*u*(u - 3)*(u + 1)
Suppose 2*n = 2*r - 2*n + 12, 3*n = 2*r + 12. Let g(o) = 2*o**2 + 3. Let q(p) = 3*p**2 + 5. Let h(l) = r*q(l) + 10*g(l). Factor h(z).
2*z**2
Let o(d) be the first derivative of -d**6/24 + 3*d**4/16 + d**3/6 + 7. Solve o(b) = 0 for b.
-1, 0, 2
Let k(t) be the third derivative of -t**6/180 - t**5/15 - t**4/3 + t**3/3 + 2*t**2. Let u(d) be the first derivative of k(d). What is z in u(z) = 0?
-2
Let h = 4 + -3/2. Let r = -58 + 60. Solve -5/2*m**5 - 1 + 5*m**3 + 2*m**r - m**4 - h*m = 0.
-1, -2/5, 1
Let h(k) be the third derivative of 1/1800*k**6 + 1/6*k**3 - 1/600*k**5 + 2*k**2 + 0*k**4 + 0 + 0*k. Let o(v) be the first derivative of h(v). Solve o(c) = 0.
0, 1
Let p be -3 - (-2 + -4) - -1. Factor 23*y**3 + 99*y**2 - 60*y**3 - 6*y**3 + 48*y**p + 3 - 77*y**3 - 30*y.
3*(y - 1)**2*(4*y - 1)**2
Let j(r) be the first derivative of 3*r**5/5 - 9*r**4/4 + r**3 + 9*r**2/2 - 6*r + 46. Factor j(z).
3*(z - 2)*(z - 1)**2*(z + 1)
Suppose 22*i = 20*i. Let n(g) be the second derivative of -3*g + 0 + 1/60*g**6 + 0*g**2 + i*g**3 + 1/24*g**4 - 1/20*g**5. Solve n(y) = 0.
0, 1
Let v(m) be the second derivative of -5*m**7/42 - m**6/2 - 3*m**5/4 - 5*m**4/12 + 16*m. Let v(i) = 0. What is i?
-1, 0
Suppose 0*h**2 + 1/2 + 1/4*h**3 - 3/4*h = 0. What is h?
-2, 1
Let h be (-2)/(-7 + 3)*0. Let w(i) be the first derivative of 2 + h*i**2 + 1/6*i**3 - 1/2*i. Factor w(y).
(y - 1)*(y + 1)/2
Suppose 2*t - 6 + 50 = 0. Let v be (-4)/(-6)*(-24)/t. Factor 2/11*i**3 - v*i**2 + 10/11*i - 4/11.
2*(i - 2)*(i - 1)**2/11
Let u(f) be the first derivative of f**3 - 3*f**2/2 - 6*f - 6. Let u(a) = 0. What is a?
-1, 2
Factor 1/5 - q + 6/5*q**2 + 3/5*q**5 - 7/5*q**4 + 2/5*q**3.
(q - 1)**3*(q + 1)*(3*q - 1)/5
Let z = -1 - -3. Suppose 3*y = z*y + 3. Factor 0*n**2 + 6*n**y - 4*n**2 - 4*n**3 + 2*n.
2*n*(n - 1)**2
Let k(x) = -x - 4. Let n be k(-6). Let b be 120/(-20) + (-60)/(-9). Factor -4/3*z**n + 2/3*z + 0 + b*z**3.
2*z*(z - 1)**2/3
Let d(q) = q + 8. Let r be d(-5). Find o, given that -3 + o**3 + 15*o**2 - 1 + 3*o**r + 12*o = 0.
-2, 1/4
Let a(h) be the third derivative of -1/15*h**4 + 0*h + 2*h**2 - 4/75*h**5 + 3/20*h**6 + 0*h**3 + 0. Suppose a(z) = 0. Calculate z.
-2/9, 0, 2/5
Let i(p) be the third derivative of p**6/56 + 11*p**5/20 + 25*p**4/14 + 2*p**3 + 19*p**2. Let i(u) = 0. What is u?
-14, -1, -2/5
Let v = 11 - 8. Suppose v*o + 11 = 5*j, 5*j = -4*o + 2*j + 24. Factor -6*k + 2*k**4 - 2 - 8*k**2 + 3*k + k**5 - 4*k - 2*k**o.
(k - 2)*(k + 1)**4
Determine n so that 0*n - 2/7*n**3 + 2/7*n**4 + 0 + 0*n**2 = 0.
0, 1
Suppose -18 = -3*n - 0. Let c(d) be the first derivative of -4/5*d**5 + 0*d - 1/3*d**n + d**2 + 1 + 4/3*d**3 + 0*d**4. Suppose c(j) = 0. Calculate j.
-1, 0, 1
Factor 2 + 0 + 9*h + 2*h**2 - 5*h.
2*(h + 1)**2
Let h be (-5)/(-15) + (-28)/(-6). Let g = -1 + 3. Suppose 3*r**2 - 3*r**3 + 0*r**g + 3*r - 8 + h = 0. What is r?
-1, 1
Let t(r) = -38*r - 378. Let u be t(-10). Factor 2/7*j**u + 8/7 + 8/7*j.
2*(j + 2)**2/7
Let b be 14/(-16)*8/(-28). Find s, given that b*s + 1/4*s**3 + 0 + 1/2*s**2 = 0.
-1, 0
Let l(p) = 5*p**4 + 13*p**3 - 32*p**2 - 56*p + 8. Let z(g) = -2*g**4 - 4*g**3 + 11*g**2 + 19*g - 3. Let r(s) = -3*l(s) - 8*z(s). Factor r(m).
m*(m - 4)**2*(m + 1)
Suppose 8*i = 6*i + 6. Let c(m) be the third derivative of -9/175*m**7 + 9/25*m**6 + i*m**2 - 24/25*m**5 - 16/15*m**3 + 4/3*m**4 + 0*m + 0. Factor c(k).
-2*(k - 2)*(3*k - 2)**3/5
Let s(v) = -v**2 + v + 1. Let o(d) = 4*d**3 + 7*d**2 - 12*d - 7. Let u(k) = 5*o(k) + 40*s(k). Determine h, given that u(h) = 0.
-1, 1/4, 1
Let g(s) = -3*s - 15. Let p be g(-5). Find h such that 0 - 2/13*h**2 + 2/13*h**4 + 0*h**3 + p*h = 0.
-1, 0, 1
Suppose -170*a**4 - 21*a + 6*a**2 + 20*a**2 + 5*a + 14*a**2 - 100*a**5 + 84*a**3 = 0. Calculate a.
-2, -1/2, 0, 2/5
Suppose 0 = -4*d - 4*p - 8, 2*d + 4*p + 8 = 3*d. Determine t so that d - 1/2*t**2 + 1/4*t**3 + 1/4*t = 0.
0, 1
Let b(l) be the third derivative of 0 - 1/120*l**5 + 4*l**2 + 0*l + 0*l**4 - 1/240*l**6 + 0*l**3. Suppose b(h) = 0. What is h?
-1, 0
Let y = 1/47 + 137/188. Factor 9/4*g**3 + y*g**4 - 3/2 + 3/4*g**2 - 9/4*g.
3*(g - 1)*(g + 1)**2*(g + 2)/4
Suppose -2*a - 2*n = -6*a, 0 = -5*a + 2*n. Let x(g) be the first derivative of a*g + 2/9*g**3 - 2/3*g**2 + 1. Determine w, given that x(w) = 0.
0, 2
Let u(x) be the third derivative of -x**5/6 + x**4/24 + x**3/3 - 5*x**2. Let u(r) = 0. What is r?
-2/5, 1/2
Let i(w) = -26*w**5 - 14*w**4 + 24*w**3 + 2*w - 14. Let q(y) = -9*y**5 - 5*y**4 + 8*y**3 + y - 5. Let a(v) = 5*i(v) - 14*q(v). Suppose a(u) = 0. Calculate u.
-1, 0, 1
Let z(n) = -11*n - 25*n + 4 + 46*n - 5*n**2. Let w(a) = -2*a**2 + 5*a + 2. Let c = -22 + 31. Let x(l) = c*w(l) - 4*z(l). Solve x(o) = 0 for o.
-2, -1/2
Let a(w) = -2*w - 15. Let p be a(-14). Suppose -2 = -s + 3*l + p, 5 = -s - l. What is n in s + 1/3*n**3 + 0*n**2 - 1/3*n = 0?
-1, 0, 1
Let q(f) be the first derivative of -f**3/3 - 10. Factor q(h).
-h**2
Let k(v) = 6 - 2*v + 3*v + 0*v. Let a be k(-4). Factor c - 2 - 2*c**2 + 2*c**2 + 3*c**a.
(c + 1)*(3*c - 2)
Suppose -5*m = 64 - 84. Suppose 0*b = -4*b. Factor 0 + 0*g + 2/7*g**5 + 0*g**m + b*g**2 - 2/7*g**3.
2*g**3*(g - 1)*(g + 1)/7
Let q(g) = -13*g**4 - 5*g - 5. Let w(n) = 6*n**4 + 2*n + 2. Let x(t) = 2*q(t) + 5*w(t). Solve x(c) = 0 for c.
0
Suppose -c + 1 = 0, -c = 3*t + c - 11. Suppose -i - 4*i = -3*j + 54, 0 = -t*i. Factor 0 - 2/3*w**4 + 6*w**3 - 18*w**2 + j*w.
-2*w*(w - 3)**3/3
Let n be ((-4)/30 - 0)*(-2)/8. Let c(m) be the third derivative of 0*m**3 - n*m**5 - 1/6*m**4 - m**2 + 1/60
|
{
"pile_set_name": "DM Mathematics"
}
|
asing order.
g, h, -2
Let i be 252/(-105) + (0 - -2). Sort 1/5, i, 0.22 in descending order.
0.22, 1/5, i
Let o be (2 - 5)/((-54)/(-36)). Sort -0.4, o, -29, 0.1.
-29, o, -0.4, 0.1
Let d = -27.5 + 28. Sort 2/11, 1, d in increasing order.
2/11, d, 1
Let c be (-12)/(-30) - 72/105. Put -3, c, 0 in increasing order.
-3, c, 0
Let c = 18 + 19. Suppose -5*u = 4*d + c, -4*u - 7 = d + 16. Put 0, d, -2 in increasing order.
d, -2, 0
Let r = -4 + 4.4. Let j = -0.05 - 1.45. Let l = -1 - j. Sort 3, r, l in ascending order.
r, l, 3
Let z = 27 - 24.4. Let m = z - -0.4. Let b = 5.05 + -0.05. Sort m, 0.1, b in increasing order.
0.1, m, b
Let h(j) = j + 2. Let b be h(2). Let o be ((-2)/3)/((-4)/(-15)). Sort b, -1, o in ascending order.
o, -1, b
Suppose 3*d - 5*n = 56, 2*n - 52 = 2*d - 7*d. Sort 2/11, d, -5 in increasing order.
-5, 2/11, d
Let b = 0.22 + -0.11. Let t = 0.19 + b. Sort -0.1, -0.03, t in ascending order.
-0.1, -0.03, t
Let i = -0.0888 + 0.0491. Let z = i - -2.1097. Let w = 0.07 - z. Sort 5, w, 0.5.
w, 0.5, 5
Let r = 1 - -3. Suppose -h = 0, -10*h - 3 = -3*c - 6*h. Sort 3, c, r in ascending order.
c, 3, r
Let b = -1.2 + 1.2. Put -1/5, b, -2 in descending order.
b, -1/5, -2
Let o = -0.3 + 0.1. Let m be (-3)/20 - (-3)/(-5). Sort 5, o, m in descending order.
5, o, m
Let w(v) = v - 8. Let m be w(11). Let g be m*(-2)/(-3) - -2. Suppose 4*n + 5*t = n - 35, 0 = -5*n + g*t - 9. Sort 4, 3, n in ascending order.
n, 3, 4
Let f be 111/18 - (100/24 + -4). Sort -5, f, -2, 1.
-5, -2, 1, f
Suppose 5*w + 16*w = 105. Put w, -2, -18, 3 in increasing order.
-18, -2, 3, w
Let p be (9/(-6))/((-3)/8). Sort p, 6, 2 in increasing order.
2, p, 6
Let j = 19 + -22. Sort j, 1, 0.
j, 0, 1
Let q = 0 - 1. Let b = 1.1 - -0.2. Let m = b - -3.7. Sort -0.1, m, q.
q, -0.1, m
Let m = -58 + 172/3. Sort m, 5/6, -1 in descending order.
5/6, m, -1
Let f(z) = -z - 3. Let h be f(-4). Let t be -1 - (1 + (h - 0)). Put -1, t, 0 in descending order.
0, -1, t
Let t(m) = -2*m - 7. Let z be t(-5). Suppose -7*g = -6*g - z. Put -4, g, -1 in descending order.
g, -1, -4
Let b(g) be the first derivative of -g**2 - 7. Let x be b(-2). Sort -3, x, 0 in decreasing order.
x, 0, -3
Suppose -6*k + 4*k + 4 = 0. Suppose 0 = 2*r + k*r + 20. Let b = 3 + -6. Put 3/2, b, r in descending order.
3/2, b, r
Let j = 20.33 - 0.33. Let v = j - 25. Sort v, -3/8, 4/7 in descending order.
4/7, -3/8, v
Let n = -5/69 + 164/1311. Put 4/7, 0.2, n in descending order.
4/7, 0.2, n
Let h(a) = -a**3 + 7*a**2 - a - 6. Let v be h(6). Suppose 2*o + v = -2*o. Put 2, o, 0 in descending order.
2, 0, o
Suppose -10*m = -7*m. Sort m, 4, 1.
m, 1, 4
Let s = 44 - 29. Let a = s + -11. Sort -5, 3/7, a in increasing order.
-5, 3/7, a
Suppose 3*h - h + 35 = 5*b, 10 = -3*b - 5*h. Suppose 0*q = -g - 3*q + 9, 3*g = 3*q + 27. Let d = 6 - g. Sort b, d, -4 in descending order.
b, d, -4
Let p = 1.882 - -0.078. Let m = -0.04 - p. Let k = 0 - -1. Put k, -0.5, m in increasing order.
m, -0.5, k
Let t(i) = -i**3 - 5*i**2 - 5. Let y be t(-5). Let q = -29.18 + 29. Let f = 0.82 - q. Put y, f, 3 in decreasing order.
3, f, y
Let l = 2 + -3. Let d(u) = -u + 0*u - 1 + 2*u**2 + 0*u. Let c be d(-1). Put l, -4, c in descending order.
c, l, -4
Let i(m) = -m**3 - 17*m**2 + 18*m - 2. Let b be i(-18). Sort b, 13, -1/4.
b, -1/4, 13
Let b be 0*-1*(-2)/2. Suppose b = -q + 3*w + 12, 5*q = w - 6*w. Put 5, 4, q in descending order.
5, 4, q
Suppose -2*d + 7 = -1. Suppose -6 = -x - 2. Suppose d*y - 12 = -l, l + x = 5*y - y. Sort l, -4, -5 in decreasing order.
l, -4, -5
Let m = -201 - -169. Put -4, 2, m in ascending order.
m, -4, 2
Let x be ((-6)/(-9)*-3)/(-2). Put 5, -3, x in descending order.
5, x, -3
Let v(r) = -r**3 - 10*r**2 - r - 11. Let j be v(-10). Sort 4, j, 2 in ascending order.
j, 2, 4
Let z be (2/(-6))/(-3 - -1 - -3). Let h = -0.02 + -1.98. Sort h, z, -0.2 in descending order.
-0.2, z, h
Let z = -12 + 7. Let a = 4.95 + z. Let r = 0.05 - a. Sort -3, -0.4, r in descending order.
r, -0.4, -3
Let c = -143/2256 - -1/48. Let b be 149/(-470)*(-10)/4. Let v = c + b. Put -1/2, 2, v in decreasing order.
2, v, -1/2
Suppose 0 = 9*p - 15*p. Sort -3, 24, p in decreasing order.
24, p, -3
Let j = -5 - -7. Let z = -3 - -4. Let p = 6 - 8. Sort j, p, z.
p, z, j
Let h(c) = c**2 + 3*c + 5. Let q(o) = 3*o**2 + 9*o + 14. Let n(j) = 8*h(j) - 3*q(j). Let g be n(-2). Let k be 1/(4 + (-3 - 0)). Put 3, g, k in ascending order.
g, k, 3
Let z = 2/177 - 40/59. Put -4, 2/17, z, 6 in decreasing order.
6, 2/17, z, -4
Let k be ((-9)/6)/(6/56). Let n = 11 + k. Put n, -2, 1 in ascending order.
n, -2, 1
Let m be (12/(-308))/(9/6). Let d = m + -148/231. Sort d, 0, -3/4 in descending order.
0, d, -3/4
Suppose -3*m = 3*b + 24, -5*b - 10 = -2*m + m. Sort 3, b, 0 in descending order.
3, 0, b
Let i = -10 + 21. Let d be 4*(-2 + (i - -2)). Let c = d + -175/4. Sort 3, 2/3, c.
c, 2/3, 3
Let k(w) = -w**2 + 6*w - 4. Let s be k(6). Let g = s - -8. Put 5, -2, g in ascending order.
-2, g, 5
Let y = -4 + 7. Let z = y - 1. Let w = -1.96 + -0.04. Put -2/3, z, w in increasing order.
w, -2/3, z
Let b(a) = 3*a + 20. Let n be b(-8). Sort n, -2, 3 in increasing order.
n, -2, 3
Suppose -5 - 20 = x - 5*g, -2*g + 10 = 2*x. Put -1, x, 2/7, 2 in descending order.
2, 2/7, x, -1
Let a = -0.09 + 0.12. Let i = 0.03 - a. Sort 2/3, i, -5 in decreasing order.
2/3, i, -5
Let c be 3/9*(-9)/12. Let t = -13 + 12.93. Let y = -0.33 + t. Sort y, c, -3 in increasing order.
-3, y, c
Suppose 0 = -5*l - 5, -425 = -5*u + 2*l + 3*l. Let g = u + -254/3. Let x = 7 - 11. Sort g, -0.4, x in decreasing order.
-0.4, g, x
Let a(b) = -b**2 - 10*b - 9. Let g be a(-9). Suppose -5 + g = t. Let l = -6 - -11. Sort t, l, -3 in descending order.
l, -3, t
Let u = 7.7 + -8. Let x be (-1 - -2) + (-20 - 1). Let d be 30/(-56) + (-5)/x. Put -1, d, u in descending order.
d, u, -1
Suppose 0*i = -3*i + 6. Suppose -i*t + 33 = 5*p, -4*p = -3*t + t - 12. Sort t, 0, 1.
0, 1, t
Let m = -17 - -18. Let z be 6/2 + m + -4. Sort z, -4, 5 in descending order.
5, z, -4
Let h be (2/4)/(3/(-189)). Let x = -32 - h. Sort x, 3, -2.
-2, x, 3
Let j = 44 - 49. Put 3, 5, j in increasing order.
j, 3, 5
Let b = 1 - 1. Let j(p) = p**2 - 1. Let q(y) = y**3 + 8*y**2 - 4*y + 3. Let m(n) = 4*j(n) - q(n). Let w be m(-5). Sort w, 4, b.
w, b, 4
Let u(v) = v**3 + v**2 - 1. Let l be u(1). Suppose 0 = -x + 4*x + 3. Sort x, 2, l in decreasing order.
2, l, x
Let x = 3 + -10. Let o(l) = -l**3 - 8*l**2 - 8*l - 8. Let z be o(x). Let b = z - 2. Sort 0, -4, b in ascending order.
-4, b, 0
Suppose 3*o + 8 = v, -o - 3 = -v - 1. Suppose -1 = 2*z - 5*i, 0 = 5*z + 5*i + 11 + 9. Sort -2, z, v in descending order.
v, -2, z
Let l = -7 - -10. Let j = 0.2 + -1.2. Let x = -0.09 - -1.09. Put j, l, x in decreasing order.
l, x, j
Let p be (4 - 1) + (0 - -1). Let d(u) = 7*u - 4 - u**2 + 0*u**2 - u + 9. Let l be d(6). Sort 1, l, p.
1, p, l
Let d = -0.03 - 0.17. Let p = 30 + -30.4. Sort p, d, -1/3 in descending order.
d, -1/3, p
Let z be (-1 - -1) + -4 + 4. Let t = -2 - z. Let v = -1 - -2. Sort t, v, -4.
-4, t, v
Let w be 2*(-4)/(-8)*-3. Sort w, -2, 0 in ascending order.
w, -2, 0
Suppose 13 = 3*h + 1. Let w(m) = m - 6. Let o be w(3). Put -5, o, h in descending order.
h, o, -5
Suppose -m + 5 = -3. Suppose 2*b + 2*b = -m. Sort -1, 6, b in decreasing order.
6, -1, b
Suppose 11 = 5*v - 4. Suppose 0*l + s = l + 1, -v*l = -4*s + 6. Suppose l*c = -0*c. Put 1, -4, c in increasing order.
-4, c, 1
Let b(z) = z**3 + 3*z**2 + 2*z + 3. Let u be b(-3). Put -4, u, 5 in descending order.
5, u, -4
Let d = -7 + 6.5. Sort 0, 2/7, d in descending order.
2/7, 0, d
Suppose s + 0*s = -2*n - 7, 3*n + 9 = -3*s. Let x be 3/(9/(-7))*-3. Sort x, s, 5 in increasing order.
s, 5, x
Suppose -10 = -i - 5. Sort 0, 4, i, -2.
-2, 0, 4, i
Suppose -5*o + 2*o = g + 5, 0 = -g - 5*o - 11. Suppose -l = s + s + 1, -8 = 4*s - 4*l. Put s, g, -4 in increasing order.
-4, s, g
Suppose -2*m = -2*q, 3 - 2 = -2*q + m. Let a = -4 + q. Suppose -28*c + 32*c = 8. Sort 4, c, a in descending order.
4, c, a
Let a = -1 + 6. Let p = -111/82 - 6/41. Sort -0.5, p, a in descending order.
a, -0.5, p
Let t be 3/2 + 2/4. Suppose -4*p = -0*h - 4*h - 8, -4*h = -8. Let i = 61 + -60. Put p, i, t in descending order.
p, t, i
Let k be (-4)/3*148/(-8). Let m = -24 + k. Let b be 4/8 - (-6)/(-9). Put -3/4, b,
|
{
"pile_set_name": "DM Mathematics"
}
|
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-31391
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37764
What is next in -10250, -37813, -83744, -148037, -230686, -331685?
-451028
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62276727
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117968
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46719
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-9949540
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1178154
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-1762927
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56538
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-22584
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764
What comes next: 25559, 92086, 202965, 358196, 557779, 801714, 1090001?
1422640
What is next in -15603, -16661, -18421, -20877, -24023, -27853, -32361, -37541?
-43387
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270
What is the next term in 3343, 12456, 27583, 48718, 75855, 108988?
148111
What is the next term in -152232, -304459, -456682, -608901, -761116, -913327, -1065534?
-1217737
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4691
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7967396
What comes next: 126644704, 253289407, 379934108, 506578807, 633223504?
759868199
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804156
What is next in -15078019, -30156041, -45234063, -60312085, -75390107, -90468129?
-105546151
What is the next term in -72176, -71621, -71066?
-70511
What is the next term in 2800, 5300, 7574, 9622?
11444
What is next in -1817, -1771, -1637, -1373, -937, -287, 619, 1823?
3367
What is the next term in 13394, 53109, 119158, 211541, 330258, 475309, 646694?
844413
What is next in -39543606, -39543608, -39543610, -39543612?
-39543614
What is next in -20026, -19839, -19652, -19465, -19278?
-19091
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34066
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1093998
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-46194383
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5497734
What comes next: -2432, -1481, 1082, 6061, 14260, 26483, 43534, 66217?
95336
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150020
What is the next term in 213, 140, 13, -180, -451?
-812
What is the next term in 42076, 42152, 42228, 42304?
42380
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17719
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359929062
What is the next term in -168256, -168207, -168166, -168139, -168132, -168151, -168202, -168291?
-168424
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-6045693
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37716
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142051
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104248
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-92359
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-39267
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10195069
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-242941
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-119232
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1968596
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897564
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21553789
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25211
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7232275
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-66675
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783520
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39231
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-316954
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6761275
What is the next term in -10168, -18628, -23666, -23572, -16636, -1148, 24602, 62324?
113728
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3142230
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5583296
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133395544
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5247796
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1409548
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-210005
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2442984
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-33278
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-504564365
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9077
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2588308
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-978
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-2053747
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40857
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14159333
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15054347
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-4212238
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102675366
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-3793884
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1132
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-10099192
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-48436
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-1199881
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51629298
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1274471
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4711898
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-49765680
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407207
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11080
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-357941
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71172
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-2358
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-23947
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-1200
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67679420
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112269430
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50172459
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4093776
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440615
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-8769667
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3346929
What comes next: -5421800, -5421802, -5421802, -5421800, -5421796, -5421790
|
{
"pile_set_name": "DM Mathematics"
}
|
23))/(p/(p/(p*(p**(-2)*p)/p))*p/(p**(-4)*p))*(((p**(1/4)/p)/p*p)**(7/3))**(-3/14) assuming p is positive.
p**(1005/184)
Simplify ((d**(-1)*d)**(-5/3)*d**(-2)*d**(-1/2))/(((d/((d*d**(-2/5)/d)/d))/d)**(-43)/(d/d**6*d**(2/9))) assuming d is positive.
d**(4763/90)
Simplify (((z*z**30*z*z*z)/z*z)/(z/(z*z/z**29))*(z/(z*z**(-23)*z)*z)**(-12))**(29/3) assuming z is positive.
z**(-2610)
Simplify (((o**(-26)*o)/(o/o**21))/(o**(9/11))**(-14/13))**(-28) assuming o is positive.
o**(16492/143)
Simplify ((n/n**(-3/2)*n)/(n*n/(n*n**0/n)*n*n)*(n**(1/2))**(-38))/((n/((n/n**(-10)*n)/n)*n)/n**7)**(5/4) assuming n is positive.
sqrt(n)
Simplify ((h*h*h*(((((h**(-4)/h)/h)/h)/h)/h)/h*h)/(h**(-6)*h))/(((((h**(-4)/h)/h)/h)/h)/(h*h*h**(2/19)*h))*((h*h**(1/2))**(9/7))**34 assuming h is positive.
h**(10065/133)
Simplify ((t/t**(-2/13)*t)/t**(9/8)*(t**(1/11)*t)**(-1/10))**(-6) assuming t is positive.
t**(-15783/2860)
Simplify ((q**2*q)**(2/7))**(15/4)/(q**(-1)/q*q*q*q**3*q)**(-3/25) assuming q is positive.
q**(1293/350)
Simplify ((l**8/(l*l/(l/(l**9/l*l)*l)*l*l))/((l**(-4/3)*l*l)/l**(1/7)))/((l/l**(-2)*l*l)**(1/76)/((l*(l*l*l**1*l)/l*l)/l**(1/3))) assuming l is positive.
l**(573/532)
Simplify (j*j/(j*j**0)*j*j*j*j**(1/3)*j)**(-27)/(((j*j**3)/j*j/((j**(2/17)/j*j)/j))/(j*j*j*(j/(j/j**(1/2)*j*j))/j*j)**28) assuming j is positive.
j**(-1817/17)
Simplify ((h/(h**(7/3)*h)*h)/((h/(h/(h/h**(-2))*h))/h*h))**(-1/6)*(h*(h/h**(-2/3))/h)**(-15)*(h/(h/(h/(h*h**(1/3)/h))))**(2/31) assuming h is positive.
h**(-6808/279)
Simplify ((o**(-1/3))**(-33)/(((o**(-3)/o)/o)/(o/(o*o**4))))/((o**(2/3))**21*((o*o**(-2/9)/o*o*o)/o)/((o**(-2/9)/o)/o)) assuming o is positive.
o**(-5)
Simplify ((v/v**(2/5))**(18/11)/(v**2*v*(v/(v**1/v))/v*v))/(v*v**(-2/19)*v**(-1/5)*v**(-2/11)/((v/((v/(v*v**(2/25))*v)/v))/v)) assuming v is positive.
v**(-18032/5225)
Simplify (b**(-1/3)*b**(-5))**(4/7)*((b**(-2/19)*b)/(b/b**0))**(-32) assuming b is positive.
b**(128/399)
Simplify ((i**1*i)**(13/4)/(i**(-4/3)/(i/(((((i**(-2/3)/i*i)/i*i)/i)/i*i)/i))))/((i**(1/4))**(4/9)*i*i*i/i**(-8)*i**4) assuming i is positive.
i**(-65/18)
Simplify (y**(-4)*y*y*y/(y*y**0/y*y))**(-1/31)*((y**(-2/13)/y)/y*y/y**(1/5))/((y*y*y**7*y)/y**5) assuming y is positive.
y**(-12673/2015)
Simplify (k**9*k**(1/3))**(-4)*(((k**(2/7)*k)/k)**11)**(-34) assuming k is positive.
k**(-3028/21)
Simplify (p**4*p**(2/7)/p*(p**(-1))**(-34))/((p**(-1)/p)**(1/19)/((p**(-2/11)*p)/(p*p*(((p/p**3)/p)/p)/p*p*p*p*p))) assuming p is positive.
p**(54437/1463)
Simplify q**(-1/7)*q*q**15*q**(-24)/q**10 assuming q is positive.
q**(-127/7)
Simplify (b/(b**(5/11)*b))**(-36)/(b/(b/b**(-4/19))*b**(1/8)*b) assuming b is positive.
b**(25831/1672)
Simplify ((f/f**(2/5)*f)/(f*f**(2/3)))/(f*f*f**4*f/((f**(-8)*f)/f))*((f/(f/(f/f**(1/4))*f))/(f**(-3)/f))/(f**(-7)*f**(-2)) assuming f is positive.
f**(-139/60)
Simplify ((b*b**(-1/3)*b)**(-12)*b**2*b*b*b**(-9)*b*b)**(-3/25) assuming b is positive.
b**(69/25)
Simplify ((m**(1/2))**(-7)*(m**(-4)*m)/(m**0*m))/((m**(-4)/m)/((m**1*m)/m))**24 assuming m is positive.
m**(273/2)
Simplify ((t*t*t**2)**10/(t**(-2/9)/t)**(3/14))/(t**4*t/(t*t*t/(t*t**(10/3)*t)))**(-2/27) assuming t is positive.
t**(46273/1134)
Simplify (((a**(-11)*a)/(a/a**(-4/3)))/(a*a/(a**3*a)*a)**0)**18 assuming a is positive.
a**(-222)
Simplify ((m*m**(-21))/m**22*(m/(m/(m*m*m/m**(1/3)*m*m*m)))**(-1/37))**(-1/22) assuming m is positive.
m**(4679/2442)
Simplify ((k/k**(1/3))**(-39))**20*((k/k**0*k)**44)**(-11/2) assuming k is positive.
k**(-1004)
Simplify ((f**(-2/29)*f*f**(1/6)*f*f)/((f*f**(-3))/f**(-1/2)))**49 assuming f is positive.
f**(19600/87)
Simplify (((v/v**(-6))/v)/v*v*v*v**(-1/7))**21/(v**(5/6)*v**(-1/10))**(2/25) assuming v is positive.
v**(53978/375)
Simplify ((a**(-1/3))**(-1/45))**(-19)/(a**(-4)/a*a*a**(-3/7))**(-3/41) assuming a is positive.
a**(-18008/38745)
Simplify (r/(r**(-9/2)*r*r)*r**(2/13)*(r**14/r)/(r**(13/2)/r*r*r))**(10/11) assuming r is positive.
r**(1190/143)
Simplify (q*(q*q/q**(1/2))/q*q**(-5))**(1/5)*q**(-2/7)/(q*q**(-5/2))*(q*q/q**(2/7))**(18/11) assuming q is positive.
q**(1278/385)
Simplify ((z*z*z**(2/9)*z)**(-12))**(-6)*z**(1/8)/z**(-1/9)*(z**(2/7))**45 assuming z is positive.
z**(123527/504)
Simplify ((i**(1/3)/i)/(i**(-1/3)/i))/((i*i**2*i)/(i/((i**(-2/5)*i)/i)))*(i/i**(1/4)*(i*i**(-2/3))/i)/(i**(-1))**24 assuming i is positive.
i**(443/20)
Simplify (b**7/b**(2/15))/((b/b**(-2/17)*b)/(b/(b/b**1)))*(b**1*b**(-4)/b*b)/((((b/b**(1/7))/b)/b)/(b*b*(b*b*b/b**(3/8))/b)) assuming b is positive.
b**(107341/14280)
Simplify ((v*v/(v*v/(v/v**(-5/2))*v))**33/(v*v/v**(-9/4)*v/v**(-1)))**(-2/13) assuming v is positive.
v**(-305/26)
Simplify (((p*p**(-14))/p*p**(-23))/((p**(-9)/p)/(p**(-14)*p)))**(-4/33) assuming p is positive.
p**(160/33)
Simplify r**(2/31)/((r**7*r)/r)*(r*r**1*r)/((r/r**(-1))/r)*(r**(-2))**(-1/11)*r**(-1)/(r/(r*r**(3/4))*r) assuming r is positive.
r**(-8189/1364)
Simplify k**40*k/k**(-12)*(k**27/k)**(1/3) assuming k is positive.
k**(185/3)
Simplify (u*u*u**(-1/6)*u**(-3)*u)**(-3/17)/(u/u**(-2)*u/(u/(u**2/u))*u**(-3/2)*u*u**(2/9)) assuming u is positive.
u**(-565/153)
Simplify (((j*j*j/(j/(j/j**6)))/(((j**(-3/14)*j)/j)/j*j))/(j/j**(2/23))**7)**32 assuming j is positive.
j**(-47280/161)
Simplify ((u**(-3)/(u**(-2/9)*u))/(u**5*u**(5/4)))/((u/u**(-1))**(3/2))**(1/46) assuming u is positive.
u**(-8357/828)
Simplify ((d/(d/(d*d/((d*d/d**(-4))/d))*d)*d)**38*(d**(-2/3)*d*d)**(-7/4))**(-27/5) assuming d is positive.
d**(3141/5)
Simplify ((h*h**(-1/4))**(17/3))**(2/43)/(h**3*h**(-6)*(h**(-2/9)*h)/(h**(-4/5)/h)) assuming h is positive.
h**(2399/3870)
Simplify (g*g*g/g**0)**(-26)*(g*g**1*g)**(16/7)*(g/(g*g*g/g**(-2/3)))**(-4/7)*((g*g*g/(g**(-6/7)*g))/g)/(g*g/(g**(2/11)/g*g)*g) assuming g is positive.
g**(-16304/231)
Simplify (((((v**(-2/11)/v)/v*v)/v)/(v**(1/6)/v))/(v**6/v)**(1/21))**(-1/5) assuming v is positive.
v**(733/2310)
Simplify ((n/n**(4/7))/(n**(-1/5)*n))**47*n/(n/n**(-4/7))*n*n/(n/(n*n**(3/5)*n))*(n/(n**0*n))**(-30) assuming n is positive.
n**(-101/7)
Simplify (n**2)**4*n**(-6)/n**(1/5)*((n*n**(-2)/n)/n*n)/(n*n**(-1/12))*n*n**(-3/4)*n**(-1)/n assuming n is positive.
n**(-43/15)
Simplify (k**6*(k**(5/4)*k)/k*k**(-1/7)*k**(-1))/(k**(-4)/(k/k**(-1/10))*k**7*k*k**3) assuming k is positive.
k**(29/140)
Simplify ((b/b**(-7))/((b/b**(-12))/b))**(-9)/(b*b/((b/(b/(b*b**(-13))))/b)*b/((b*b*(b/(b*b/(b/b**(-3/2)))*b)/b*b)/b))**(-36/11) assuming b is positive.
b**(846/11)
Simplify r**(-3/2)/r**(3/2)*r**2*r/(r/(r**(7/3)*r))*(r**(5/4)*r*r*r*r/r**1)/(r*r**(1/4)*r*r/(r**(2/15)/r)) assuming r is positive.
r**(37/15)
Simplify ((i**(-2/17)/(i*i*i**(-1/3)))/(i/(i*i**1/i*i))**(-28))/(((i/(i**(-1/3)/i))/(i**(3/7)/i))/(i*i*i/(i*i*i**(2/3)))**(7/8)) assuming i is positive.
i**(-92527/2856)
Simplify (h**(2/69)*h*h*h*h**(2/5)*h*h)/(h*(h**4*h)/h*(h*h**(-2/63)*h*h)/h*h) assuming h is positive.
h**(-18397/7245)
Simplify (((c/(c**(-2/5)/c)*c)**(-25)*(((c**13*c)/c)/c)/(c/(c/c**1)*c))**(-33))**45 assuming c is positive.
c**111375
Simplify ((t/(t/(t*t**(-5/7))))**(25/3)*(t**(-2/9))**(1/32))**(-27) assuming t is positive.
t**(-7179/112)
Simplify ((d/(d*d/(d**(-1/4)*d)*d))**(-10/9)*d**13*d**(2/23))**(5/8) assuming d is positive.
d**(29965/3312)
Simplify ((b*b*b**(4/5))**(1/16)/((b*b**(-5/8))/b**6))**32 assuming b is positive.
b**(928/5)
Simplify ((n**(1/3)*n**(-1))/(n**(-2/11)/n**(-1)))/(n/n**(-4)*n*n**(-4/5))**(-2/75) assuming n is positive.
n**(-1851/1375)
Simplify (c**(2/7)/c*c*c*c*c**(-1/13)*c*c*(c/((c**(-1/18)/c)/c))/c**(-2/7))**(1/21) assuming c is positive.
c**(12367/34398)
Simplify ((a*a**(2/7))**(-2/23)/(a*a/((a/(a/(a**(-1)*a)))/a))**(-31))/((a*a/a**(-9/5))/(a/(a/(a*a**(1/6)/a)*a)))**(-33) assuming a is positive.
a**(395719/1610)
Simplify (m/m**(2/29))**(-2/35)/(m**(2/7)/(m**(-10/3)/m)) assuming m is positive.
m**(-14227/3045)
Simplify ((((w**19/w)/w)/w*w/w**11)/((w/(w*w*w**(-22)/w*w*w*w))/(w*w**1)))**6 assuming w is positive.
w**(-66)
Simplify ((z/(z**23*z))/z**(-31))/(z**(-3/5)*z**(-8)) assuming z is positive.
z**(83/5)
Simplify ((n**1/n)**(4/35)*n**(-1/4)*n**(1/5))/((((n**(-4)*n)/n*n)/n)**(-47))**(13/4) assuming n is positive.
n**(-12221/20)
Simplify (y**(-1/3))**(-29)/((y*y**(2/11)*y)/(y**(-5/4)*y))*(y/(y*(y/(y*y**7*y*y))/y*y)*y)/(y**(-3/2)/y)*y*(y**2/y)/y*(y/y
|
{
"pile_set_name": "DM Mathematics"
}
|
factors of a.
2, 5
Let o(d) = -13*d + 4. Let r(n) = -26*n + 9. Let y(v) = 7*o(v) - 3*r(v). Let c be y(1). What are the prime factors of c/16*12/(-1)?
3
Suppose 3*s = p - 287, 4 = 2*s - 6. What are the prime factors of p?
2, 151
Let k = 148 + -102. What are the prime factors of k?
2, 23
Let b = -29 - -69. List the prime factors of b.
2, 5
Suppose 3*i - 9 = 15. List the prime factors of i.
2
Let c = -2 - -1. Let d(f) = -14*f**2 + 2*f - 1. Let v be d(1). Let g = c - v. List the prime factors of g.
2, 3
List the prime factors of 4/((-12)/(-855)) - (-11 + 7).
17
Suppose 0*l - 3*l + 6 = 0. Let c = 12 - l. List the prime factors of c.
2, 5
Suppose 5*o - 12 = o. Suppose -j + 26 = 3*m - 5, -21 = -o*m - 3*j. What are the prime factors of m?
2, 3
Suppose 15 = 3*s - 9. Let k be (-1)/((6/s)/(-3)). Suppose 5*a - r + 3*r = 105, 4*a = k*r + 84. List the prime factors of a.
3, 7
Suppose -24*x + 21*x = -57. List the prime factors of x.
19
Suppose -4*z = 3*k - 56, k + 80 = 4*z - 2*k. List the prime factors of z.
17
Let y be (-4 - (-1 - 1))*2. Let q(u) = u**2 + u - 1. List the prime factors of q(y).
11
Let r(h) = -1 + 1 + 1 + h**2 + h. Let g(x) = -x**2 + 7*x - 8. Let v be g(6). List the prime factors of r(v).
3
Suppose 7*b + 5 = 8*b. What are the prime factors of b?
5
Let t = -11 + -7. List the prime factors of (t/8)/((-6)/16).
2, 3
Let n(f) = 51*f**2 + f. List the prime factors of n(1).
2, 13
Let w = 8 - 6. Let g be 11*(1 + w) + -1. Suppose -2*f + g = 3*x, -4*f - 5*x = -2*x - 58. What are the prime factors of f?
13
Let h(u) be the first derivative of -u**3/3 + 7*u**2/2 - u + 3. List the prime factors of h(5).
3
Let p be -4*2*(-4)/(-8). Let v = 35 - p. What are the prime factors of v?
3, 13
Suppose 5*o = o + 80. Suppose 3*n - r = o, 10 = 2*n + 2*r - 6. List the prime factors of n.
7
What are the prime factors of 9*8/12*12?
2, 3
Let a(f) be the second derivative of f**3/6 + 2*f**2 - f. Let m be a(-6). Let k = m + 7. List the prime factors of k.
5
Let j(g) = g**3 + 3*g**2 - 6*g - 4. Let p be j(-4). Suppose -z = -p*z + 9. Suppose 5*y + 15 = 0, z*y - 1 = 2*o - 3*o. List the prime factors of o.
2, 5
Let l(i) = -3*i + 5. What are the prime factors of l(-18)?
59
Let m(w) = -w. Let v be m(-2). Suppose -18 = -z - 4*k, 0 = -3*z + z + v*k + 6. List the prime factors of z.
2, 3
List the prime factors of 65/(-3)*(-5 - -2).
5, 13
Let n(x) = -x**3 - x**2 + 7. What are the prime factors of n(-5)?
107
Let f = 6 + -4. Let l = f - -2. List the prime factors of l.
2
Let o(v) = -9*v + 2. Let m(l) = -l - 1. Let n be m(-3). Let s be o(n). Let d = s + 24. What are the prime factors of d?
2
Suppose 4*x + 46 = w + 3*x, x = -w + 56. List the prime factors of w.
3, 17
Let z(p) = -p + 2. Let l be z(-2). List the prime factors of l/16*4*19.
19
Suppose 6*v - 592 + 190 = 0. What are the prime factors of v?
67
Let f be (-3 + 2)/((-2)/4). Suppose -f*b - 2 = -3*b. Suppose -6 = -b*t + 12. What are the prime factors of t?
3
Let r = 56 - 9. What are the prime factors of r?
47
Suppose 5*a + 19 = 29. List the prime factors of a.
2
Suppose 673 - 16 = 9*g. List the prime factors of g.
73
Let w be (2/(-2))/2*0. Suppose w = -g - 0*g + 7. List the prime factors of g.
7
Let r(f) = -f**2 + 10*f - 5. Suppose -3*g + 2*g = -4. List the prime factors of r(g).
19
What are the prime factors of ((-124)/28 - 5)*-7?
2, 3, 11
Let l = 1 + 1. Let g = 25 + -16. Suppose -3*h - l = -5*q + g, -q - 11 = -5*h. What are the prime factors of q?
2
Let d(t) be the second derivative of t**4/12 + 11*t**3/6 + 5*t**2 - 7*t. List the prime factors of d(-11).
2, 5
Let x(t) be the first derivative of -8*t - 3 - 5/2*t**2. What are the prime factors of x(-6)?
2, 11
Let p(z) = z + 16. Let y be p(-11). Suppose y*i = 68 + 17. List the prime factors of i.
17
Suppose 5*b - 58 = -3*p, p + 2*p - 67 = 4*b. What are the prime factors of p?
3, 7
Suppose -4*s = 4*a - 92, 0 = 5*a - 5*s + 72 - 227. What are the prime factors of a?
3
Let m(z) = z**2 - 2*z - 15. What are the prime factors of m(9)?
2, 3
Suppose 4*m - 1344 = -4*j, -15*m + 654 = -13*m - 4*j. List the prime factors of m.
3, 37
Let s(b) = -2*b**2 + b. Let r be s(2). Suppose 4 - 2 = 2*j. List the prime factors of r/(j/4 + -1).
2
Suppose -2 - 5 = p + 4*u, -3*p = -2*u - 7. Suppose 63 = 4*s - p. What are the prime factors of s?
2
Let b(h) = -h**2 - h + 2. Let w be b(0). Suppose -20 = -w*j - u, 5*u + 0*u = -20. List the prime factors of j.
2, 3
Let o = -35 + 58. List the prime factors of o.
23
Suppose 56 = -2*j + 192. What are the prime factors of j?
2, 17
Suppose 9 + 0 = -3*m. Let p be m*1/(-3)*4. Suppose 27 = p*j - 1. List the prime factors of j.
7
Let z = -28 + 44. List the prime factors of z.
2
Suppose 0 = 4*x + 3*j - 2, -3*j = x - 6*x + 16. Let t be (0/(-1))/(3 - x). Suppose -38 = -3*g - 4*q, 3*q - 26 = -2*g - t*q. What are the prime factors of g?
2, 5
Let v be -10*((-3)/6 - -1). Let p(k) = -12*k. Let g be p(v). Suppose 5*l = -n + 52, 5*l + 7*n = 2*n + g. List the prime factors of l.
2, 5
Suppose y + 188 - 22 = 4*r, -3*y = 4*r - 158. List the prime factors of r.
41
List the prime factors of ((-6)/(-4))/(5/130).
3, 13
Let l = -86 + 425. List the prime factors of l.
3, 113
Let y be (12/5 - 2)*10. Let h(d) = 3*d**2 - 6*d + 5. What are the prime factors of h(y)?
29
Let m(h) = 3*h**2 + 2*h - 1. Let j = -11 - -7. Let d be m(j). Let n = -27 + d. List the prime factors of n.
2, 3
Let t(n) = -n**3 - 6*n**2 - n - 6. Let l be t(-6). Suppose -a - 1 + 2 = 3*h, -3*h + 2*a - 2 = l. Let u = h - -2. What are the prime factors of u?
2
What are the prime factors of ((-3)/(-18))/((-3)/(-9))*74?
37
Let c(b) = 41*b**2 + 2*b - 1. List the prime factors of c(1).
2, 3, 7
Suppose 7*k - 520 = 2*k. Suppose k = 2*w + 4*n + 2, -4*w - 4*n = -184. List the prime factors of w.
41
Let q = -7 + 14. Let t(g) = -g**3 + 7*g**2 - 2*g - 2. Let o be t(q). Let a = -2 - o. List the prime factors of a.
2, 7
Let s = 63 - 44. What are the prime factors of s?
19
Let i(z) = 2*z**2 + z + 2. Let j be i(-3). Let w = 31 - j. What are the prime factors of w?
2, 7
Suppose -q = -3 - 27. What are the prime factors of q?
2, 3, 5
Suppose -85 = -3*k - 31. Let d be 9*1/1*-1. Let p = k + d. What are the prime factors of p?
3
Let z(m) = m**3 - 3*m**2 + 4*m - 7. List the prime factors of z(6).
5
Suppose -2 = j + 26. Let i = j + 39. Let b = i + -7. List the prime factors of b.
2
Let l(q) = -q - 6. Let t be l(-9). Suppose 16 = t*k - 17. List the prime factors of k.
11
Suppose -3*f = 40 - 115. What are the prime factors of f?
5
Let x(u) be the second derivative of u**4/12 + u**3/3 - 7*u**2/2 + 3*u. What are the prime factors of x(-6)?
17
Let i(g) = 58*g**3 - g**2 + 2*g - 1. Suppose -4*t + 3*c = -0*c + 2, -5*t = 5*c - 15. List the prime factors of i(t).
2, 29
Suppose h - 11 = -3*c + 4, -4*h = -4*c + 4. Suppose 3*f + 8 = 2*s, 6*s = -5*f + 2*s + 16. Let q = h + f. List the prime factors of q.
3
Suppose 3*x = 2*p - 91, -3*x = -3*p - 4*x + 164. What are the prime factors of p?
53
Suppose 286 - 28 = 6*b. What are the prime factors of b?
43
Let s(w) = -w - 1. Let g be s(-6). Let c be 388/14 - 2/(-7). Suppose m = g*m - c. List the prime factors of m.
7
Let i(x) = -x**2 - 9*x - 6. Let j be i(-8). Let l(k) = -3*k**2 + 4*k**j + k**2. List the prime factors of l(-3).
2, 3
Let v = -34 - -24. List the prime factors of (-27)/2*v/15.
3
Suppose 3*u = 5*a - 2024, 5*u = -4*a + 727 + 907. List the prime factors of a.
2, 7, 29
Let f = 16 - -16. What are the prime factors of f?
2
Let k(b) = -b**2 + b. Let n = 0 + 0. Let g be k(n). Suppose g = -2*p + 6*p - 32. List the prime factors of p.
2
Let o(r) = 6*r**2 - 2*r + 1. Let z be o(1). Suppose z*d - 8 = 12. Suppose 3*l = d*a + 41 + 9, 2*l + 2*a - 38 = 0. What are the prime factors of l?
2, 3
Suppose 3*l = 2*j + 25, 5*j + 139 - 19 = -4*l. What are the prime factors of 2*-10*j/16?
5
Let a be (4/(-5))/(2/(-10)). Suppose -a*h + 4 = u + 21, 3*h = -4*u - 3. Let s = u - 0. List the prime factors of s.
3
Suppose g = -4*i + 215, -15 = -9*g + 4*g. What are the prime factors of i?
53
Let d = -13 - -7. Let n = d - -9. List the prime factors of n.
3
Let l = -4 + 41. Let k = 59 - l. What are the prime factors of k?
2, 11
Let u(t) = 2*t**2 + 9*t - 15. List the prime factors of u(8).
5, 37
Suppose -r = -u - 2*r, u - 15 = 4*r. Suppose u*k - 5
|
{
"pile_set_name": "DM Mathematics"
}
|
et s = -79 - -397/5. Suppose -3*u + 5*u + 10 = 0. Let d = 0.6 + -2.6. Which is the smallest value? (a) s (b) u (c) d
b
Let z = 9 - 8.6. Let j be 2*(9/(-4) - -2). Let x be (-2)/(-4) - (-3)/6. Which is the third biggest value? (a) x (b) j (c) z
b
Let z = 0.04 - -0.01. Let u = 4.05 - z. Which is the third smallest value? (a) u (b) -2/5 (c) 5
c
Let d be ((15/(-18))/5)/(-1). Let p = -23 + 27. Let q(j) = -j**2 + 4*j + 3. Let g be q(4). Which is the biggest value? (a) d (b) g (c) p
c
Let f = -9.84 - -10. Let l = 1.64 + f. Let q = l + -2. Which is the second smallest value? (a) 0.3 (b) q (c) -0.5
b
Let y = 19 - 4. Let o = -18 + y. Let v = -0.3 - -0.8. What is the third biggest value in v, -0.5, o?
o
Let v = 49 - 49. Which is the biggest value? (a) -0.03 (b) 2 (c) v
b
Let s = -8.6 - -4.6. What is the second smallest value in -0.4, 8, s, 0.6?
-0.4
Suppose -3*p - 3 = -h, -5*p - 10 = -0. Which is the biggest value? (a) h (b) -0.3 (c) 7/8
c
Let i = 2.4 - 7.4. What is the second smallest value in -6, i, 1?
i
Let y = -15 - -10. Let v = -3/5 - -14/15. Let q = -130/259 - -8/37. Which is the biggest value? (a) v (b) y (c) q
a
Suppose 2*z - 6 = 3*a, -3*a - 10 = 2*z + 8. What is the third smallest value in -0.05, z, -4/9?
-0.05
Let y = -10 + 14. Suppose -7 = -4*h - 3*i - 27, -4*i - 16 = 0. What is the second biggest value in y, -1/2, h?
-1/2
Let l(z) = -z**3 - 4*z**2 - 5*z - 4. Let q be l(-3). Suppose 3*g - 4*g - 7 = -2*s, 2*s + 2*g = -q. Which is the second biggest value? (a) 4 (b) s (c) 0.1
b
Let g = -0.02 + -0.08. Let u = -2.1 - g. Which is the second biggest value? (a) 0.1 (b) 3/2 (c) u
a
Let g = 393 + -1138/3. Let s = 161/12 - g. Let z = -7 - -4. Which is the smallest value? (a) s (b) -4 (c) z
b
Let g = 0.03 + -0.23. What is the third biggest value in 7, -1, g?
-1
Suppose -17 = -5*f - 167. Let n be 5/f*1*-4. What is the third biggest value in 1/5, -5, n?
-5
Let f = -5.12 + 0.12. Let o = 0.74 - 0.8. Let p = -0.44 + o. Which is the third smallest value? (a) p (b) 2 (c) f
b
Let o = -23 - -22.7. What is the third smallest value in 2, o, 1/10, 4?
2
Let w be 3 - (-1 + 108/26). Let x = -695/7 - -99. What is the second biggest value in -2, w, x?
x
Let s = 411/1414 + -1/202. Suppose 5*t = -2*i - 33, 5*i + 2 + 3 = 3*t. Which is the smallest value? (a) s (b) t (c) -3/4
b
Let w = 0 - 0.2. Let j(o) = -2*o - 2. Let x be j(-2). Suppose 3*i = -4*r + 4, -x*i + 7 = 4*r - 1. Which is the second biggest value? (a) w (b) i (c) -5
b
Suppose -10 = -4*u - 30. What is the third biggest value in -4, u, 0.4?
u
Let v = -6356/17 + 374. What is the smallest value in -1, 0.5, v?
-1
Let f = 0.08 - -0.92. Suppose -2*u - 9 = u. Let m = u + 1. Which is the biggest value? (a) 0.4 (b) m (c) f
c
Let g(k) = k**2 - k - 6. Let w be g(8). Let q = w - 199/4. Which is the second smallest value? (a) q (b) 2/7 (c) 0.3
b
Let f = 0.9 - 1. Let u be (-2)/(-15)*5/4. Let x = -0.2 + -0.8. Which is the third biggest value? (a) f (b) u (c) x
c
Let n = -1/5537 + -19263218/27685. Let y = n - -693. Let t = y - -192/65. Which is the second biggest value? (a) 4 (b) -4 (c) t
c
Let f(o) = o + 7. Let y be f(-4). Let m = 38.3 + -40. Let s = m - 1.3. What is the biggest value in y, s, -5?
y
Let v = -6 + 3. Let z = v + 2.9. Let f = z - -0.3. What is the second smallest value in 4, f, 2/11?
f
Suppose -4*u + 12 = 3*v, 0 = 2*v - 8. Let l = 0 + u. What is the smallest value in -0.1, 3, l?
-0.1
Let t = -5/9 - 2/45. Which is the fourth smallest value? (a) t (b) -0.3 (c) -3/2 (d) 2
d
Let x = -3 - -7. Let m = -4.1 + -0.4. Let p = x + m. What is the third biggest value in -2, p, -3?
-3
Let s = -0.34 - 2.66. Which is the biggest value? (a) -0.1 (b) s (c) -4
a
Let h(w) = -14*w. Let u be h(-3). Let q = -121/3 + u. Let m = 0.1 - 0.1. Which is the third biggest value? (a) q (b) 5 (c) m
c
Let n = -34.07 + 33. Let y = -6 + 5.93. Let g = y - n. Which is the third biggest value? (a) 2 (b) g (c) 1/7
c
Let x = 5 - 1. Let i = -0.5 + 0. Let k = i - -2.5. What is the second biggest value in -2, k, x?
k
Let u = 2/303 - 1222/1515. What is the biggest value in 0.1, u, 5?
5
Let a = 730/7 - 104. What is the third biggest value in 1/2, a, 0.01?
0.01
Let u(k) = k**2 + 9*k + 10. Let z be u(-7). Let t = 4 + -5. Which is the smallest value? (a) 2/5 (b) z (c) t
b
Let s = -23 - -22.8. Which is the fourth smallest value? (a) 0 (b) 0.5 (c) 9 (d) s
c
Let b be (1/3)/(3/(-3)). Suppose -i + 11 = 5*d - 4, -2*i - 10 = 2*d. Let l = 12 + i. What is the third smallest value in l, 4/5, b?
l
Let r = 8.949 - -0.051. Which is the third smallest value? (a) 0.2 (b) -2 (c) -0.1 (d) r
a
Let x = 70 - 281/4. Which is the second biggest value? (a) -1/2 (b) x (c) 0.5
b
Suppose -1 = -4*j - 17. Suppose 0 = i - 3*g + g + 28, i - 5*g + 43 = 0. Let k = 35/2 + i. Which is the third biggest value? (a) -3 (b) k (c) j
c
Let r = 0.18 + 1.12. Let l = r + -1.3. What is the smallest value in l, -6, 5?
-6
Let m = -0.08 - -0.38. Which is the third biggest value? (a) m (b) 0.2 (c) 5
b
Let l = 37/30 + -4/3. What is the third smallest value in l, 3/5, -0.4, 0.1?
0.1
Let n(z) = z**2 - 8*z + 3. Let d be n(7). Suppose -y = 6 - 3. Which is the second smallest value? (a) d (b) 0.1 (c) y
c
Let f(t) = -t**2 + 5*t - 3. Suppose -5*g + 16 = 1. Let k be f(g). Let v = 3 - k. Which is the second biggest value? (a) v (b) -5 (c) -0.1
c
Let m = 4.1 + -4.1. Which is the third smallest value? (a) m (b) 10 (c) -3
b
Suppose r = 4*r - 6. Let m = -3284/11 + 298. What is the third biggest value in r, m, 1/7?
m
Let a be 1*-3*6/63. Suppose 2 = -4*b + 14. What is the second biggest value in a, 4/9, b?
4/9
Let j = 0.02 + 1.98. Let a be ((-76)/(-8))/(2/(-4)). Let z = 18 + a. What is the second smallest value in z, 1, j?
1
Let x = -5.46 - -0.46. What is the third biggest value in 4, x, -0.3, -4?
-4
Let y = 0.057 + -0.157. Let w = -3.6 - -0.6. What is the third biggest value in w, y, 1?
w
Suppose -2*y + 14 = 2*a - 2, -20 = -4*a. What is the third smallest value in 1, -3, y, 4?
y
Suppose 5*g = 3*v - 13 - 7, 2*v + 20 = -5*g. Suppose v = w - 5*w + 8. Let o be (6 - 4) + (w - 2). Which is the second smallest value? (a) -3 (b) 0.1 (c) o
b
Let w = -24.36 - -21.3. Let s = w + 0.06. Which is the second smallest value? (a) 0 (b) s (c) -4
b
Let d = -166 - -326. Let x = d + -637/4. Let c = -0.4 + 0.2. What is the third biggest value in -0.5, c, x?
-0.5
Let k = 22 - 16. Let l be (k/(-10))/(5/(-25)). Which is the third biggest value? (a) 2 (b) 1/6 (c) l
b
Let k = 3 + -3. Suppose k = -3*y + 2*y + 5. What is the third biggest value in y, -5, -4?
-5
Let d = 1.4 + -1.3. What is the third biggest value in 1, -31/5, d?
-31/5
Let h = -57 + 58.1. Which is the second biggest value? (a) h (b) 1/5 (c) -1
b
Let h = -22.2 - -22. Which is the biggest value? (a) h (b) 0.07 (c) -1
b
Let m = -0.48 - -0.58. What is the second biggest value in -0.2, 4, -0.5, m?
m
Suppose -5*a - 7 - 8 = 2*q, 0 = -2*a - 2*q. What is the smallest value in 3, a, -0.4?
a
Let w = 0.07 - -0.23. Let l = w - 1.3. Let o = 0.4 - 0.1. What is the second smallest value in o, 1/5, l?
1/5
Suppose g = -0*g. Which is the third biggest value? (a) 1/4 (b) g (c) -0.5
c
Let j = -470/723 - 4/241. Let z = -8/5 + 17/20. Which is the biggest value? (a) j (b) 1/6 (c) z
b
Let a = 70.3 - 77. Let g = -7 - a. What is the biggest value in 1/3, 5, g?
5
Let z = 6/47 - 312/235. Let x = -32828 + 1805616/55. Let p = z + x. Which is the second smallest value? (a) -0.3 (b) p (c) 4
b
Let y = -1291/22 + 117/2. Which is the second smallest value? (a) 0.1 (b) y (c) 1
a
Let u = 1.52 + 1.48. Let y be (3/(-2) - -1)/3. What is the second smallest value in u, y, -4?
y
Let n = 4 - 2. Let d = 0.14 - -1.46. Let y = d - n. Which is the second biggest value? (a) -1 (b) -2 (c) y
a
Let h = -0.5 - -0.6. Let c = h + -0.3. Let i = 66/115 + -4/23. What is the second smallest value in i, 1, c?
i
Suppose -2*u - 4 = -k - 5, 0 = 4*k - 2*u - 8. Suppose 0 = -3*d + k + 12. Let i = -2 - -3. Which is the third biggest value? (a) -4 (b) d (c) i
a
Let n = -1.67 - -1.77. Let z = 6 - 8. Let k be -1*22/(-10) + z. Which is the biggest value? (a) k (b) n (c) 2/11
a
Suppose 5*x + 0 = 5. Let s = x + -1. What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
suming r is positive.
r**(397/35)
Simplify ((v**(-14)/v*v**(-2/13)/v)/(v**(1/8))**13)**2 assuming v is positive.
v**(-1849/52)
Simplify ((q**(2/15)*q*(q*q**(10/9))/q)/(q**(-14)/(q*q**(2/29))))**(14/9) assuming q is positive.
q**(316316/11745)
Simplify ((f*f**(-1))**0*f/(f*f*f**(2/13)*f*f)*f*f**(-2)*f)**(-15/8) assuming f is positive.
f**(615/104)
Simplify ((x**(-7/5)/x)/(x*x*x**(-4/11)*x)*(x*x/(x*x*x**(-3/13)))/(x**(9/8)*x*x))**(1/7) assuming x is positive.
x**(-45363/40040)
Simplify (((y*y*y**(-3/7))/(((y*(y**6/y)/y)/y)/y))/((y**(-3)*y*y)/y**(2/23)))/(y*y/y**(4/5)*y/(y/(y*y*y**5))*y)**(-27) assuming y is positive.
y**(199687/805)
Simplify (b/(((b*b*b/b**(6/7))/b)/b*b))**(1/6)/(b**(-37)*b**(-30)) assuming b is positive.
b**(2813/42)
Simplify g**(-2/17)/(g*(g/(g/g**(-2/7)*g))/g)*g**0*g*g**(-3)*(g**(-3)*g**5)/(g*(g*((g**4/g)/g)/g)/g*g*g*g*g**(-4)) assuming g is positive.
g**(20/119)
Simplify ((((l*l**(-1))**22)**(-46))**8)**(24/11) assuming l is positive.
1
Simplify ((l/((l*l**32/l)/l*l)*l/l**12)/(l*l*l**(-2/31)*l*l/l**(-19)*l))**(2/9) assuming l is positive.
l**(-4088/279)
Simplify (r*r**(-43)/r)**46*(r**(-4/35))**(-1/3) assuming r is positive.
r**(-207686/105)
Simplify (o**(-5/3)/(o/(o**(-2/19)*o)*o))/(o**(1/22)*(o**(-1)/o)/o) assuming o is positive.
o**(229/1254)
Simplify ((l/((l/l**(-2)*l*l)/l))/l*l**(-3))**(-7/11)/(l**(-1/7)*l*(l/(l*l**(1/2)))/l*l*l*l**0*l*l*((l/l**(2/5))/l)/l) assuming l is positive.
l**(1923/770)
Simplify ((z**(-1/2)*z)**49/(z**2)**15)/(z**(-2/47)/z**(-2/3))**(-46) assuming z is positive.
z**(6545/282)
Simplify (q/q**(1/2)*q**(-4)*(q*q**4)**(-1/59))**(-39) assuming q is positive.
q**(16497/118)
Simplify (k**(-9)*(k/(k/(k**(-1/4)/k*k)*k))/k)**18/(((k/(k*k**(-1/2)))/k**(1/5))/(k**(-1/5)*k)**(3/2)) assuming k is positive.
k**(-1008/5)
Simplify (((v**15/v)/v**14)/(v**(2/9))**(-9/5))**(-8/11) assuming v is positive.
v**(-16/55)
Simplify (((z*z**8/z)/z*z/(z/z**(2/7)))/(z**(-2/11)*z*z**(-7)))/((z**(1/19)*z)/(z**(-5/4)/z))**(10/13) assuming z is positive.
z**(415643/38038)
Simplify i**(-2/9)*i*(i*i**(-4))/i*i*i**(-1/4)/(i/(((i*i/i**2)/i)/i))*i**6/(i/i**(-1/5))*(i/i**6)/(i/((i**(-1/3)/i)/i*i*i*i*i)) assuming i is positive.
i**(-901/180)
Simplify ((n**13/n)**(-4)/(n/(n**(-8)/n))**(-29))**(1/16) assuming n is positive.
n**(121/8)
Simplify ((j*j**3)/(j**(-7)/j)*(j**(-3/5)/j)**(-2/55))**(5/4) assuming j is positive.
j**(829/55)
Simplify ((p/(p**1*p*p))**(8/5))**(-1/10)/((p/(p**(1/12)*p))/p**(2/3)*p/(p*p**(1/6)*p*p)*p*p**(-3/2)/p) assuming p is positive.
p**(1421/300)
Simplify (((n*((n**(-20)/n)/n)/n*n*(n**19*n)/n)**(2/33))**27)**(-6) assuming n is positive.
n**(216/11)
Simplify ((b*b/(b/(b**1*b))*b)**(5/14)*b/b**(-6)*b/b**(-2/7))/((b*b**6)/b**(-3)*(b**(-1/3)/b)**(-2/13)) assuming b is positive.
b**(-134/273)
Simplify ((z/(z/(z*z*z**0*z)))**(2/9)*(z**(1/5)*z)/z**(-1))/(((z*z**(1/3)*z*z)/z**1)/(z*(z*(z/(z**(-1/3)/z)*z)/z)/z*z)**(-24)) assuming z is positive.
z**(-1552/15)
Simplify (i/(i/(i*i**(-7/2)))*i**(-7))/(i**(-2/5))**(-22)*((i**(-5)/i)/i**(1/2))**6 assuming i is positive.
i**(-573/10)
Simplify ((p**(-23)/p*p*p**(7/6)*p)/(p*p*p/p**(-2/9)*p*p**13))**(-1/3) assuming p is positive.
p**(685/54)
Simplify ((((g/(g/((g**(2/21)/g)/g)*g)*g)/g*g**(-1))/(g*g*g*g/(g/((g*g**(-5)*g)/g))*g/(g*g**(-4))))**(-19))**(-3/7) assuming g is positive.
g**(-2755/49)
Simplify ((j**9/j)**(3/23)/(((j**(6/7)/j)/j*j*j*j)/(j/(j/((j/(j*j/((j*j**(2/51))/j))*j)/j)))))**(-34) assuming j is positive.
j**(29140/483)
Simplify (b**(-10/9)*b/(b*b/(b/(b**5*b*b)*b)*b)*b*b**(-14)/b*b**(-6/11))**37 assuming b is positive.
b**(-82991/99)
Simplify ((u**(-2/7))**30)**(2/83)*((u/u**7)/(u/(u**(-1/14)/u*u*u)*u))**11 assuming u is positive.
u**(-90627/1162)
Simplify ((f/f**15*f)/f**(-2/13))**34*(f**(-1/4)*f**(3/5)/f)**43 assuming f is positive.
f**(-120827/260)
Simplify ((q**(-1/3))**(-2/19))**(1/10)/(q**5*(q/q**(-2/31)*q*q)/q)**(-34/3) assuming q is positive.
q**(707401/8835)
Simplify (a**(-2/5)*a/(a/(a/a**(-1))))/(a/((a*(a/a**(2/5))/a*a)/a)*a**(-5)/a)*(a**1/a*a*a)**9*(a*a**(-2/5))/a**4 assuming a is positive.
a**(109/5)
Simplify (v**(-5)*v**6*v**7*v*v**7)/(v**(1/2)*v**0*v*v**(-4)/(v/(v*v**(-6)))) assuming v is positive.
v**(49/2)
Simplify ((y/y**(-2/5)*y)**42/(y**0)**(1/2))/((y*y**(1/9))/y**0*y*y*y**(-6/5)*y**(-2)) assuming y is positive.
y**(908/9)
Simplify (((s*s**(-5)*s*s**3)/(s*s/s**(2/11)*s)**(-1/7))**(2/23))**(-22/3) assuming s is positive.
s**(-124/483)
Simplify (u*u**(-1/2)*u)**9/(u**(1/14)*u**(-3/5))*(u/(u*u/(u**(2/7)/u*u))*u*u**(-3))**(-14/9) assuming u is positive.
u**(5749/315)
Simplify (((g*g/(g/g**10))/g*g*g**(-12))/(g/g**(-2/3)*g**(9/2)))**25 assuming g is positive.
g**(-1075/6)
Simplify ((m**1)**(-2)*((m*m*m/(m/m**(-2/7))*m)/m)**24)/(((m*m/m**(2/13))/(m**(1/11)*m))/((m*m*m**(-2/7))/(m*m**(-2/7)))) assuming m is positive.
m**(39427/1001)
Simplify ((w**(5/6)*w)/w**(1/5)*(w*w**(-1/2))/((w/w**5)/w))/((w*w/((w**3*w)/w))/(w/w**(-6/11)))**45 assuming w is positive.
w**(20077/165)
Simplify (n/n**(-2/7)*n*n*n**(1/7))/(n/n**(-2/3)*n)**(-36)*((n/n**1*n)/(n/n**(2/7)))/((n/(n*(n/(n*n**4))/n*n))/n*n*n**(-3/8)) assuming n is positive.
n**(5381/56)
Simplify (z**(-1/4))**(-47)*z**(-5)/z*z**(-4)*(z*z**5*z**(4/7))**36 assuming z is positive.
z**(6673/28)
Simplify ((s*s**(-2/13)*s**(-6))/(s**(-3/11)*s*s*s/s**(1/7)))/(s**(-2/15)/s*s**(5/6))**27 assuming s is positive.
s**(3621/10010)
Simplify ((((q/((q*q**(-2))/q))/q)/q)**(4/13))**(-20)*((q**(6/5)*q*q)/(q*q*(q/q**(3/5))/q))**(3/14) assuming q is positive.
q**(-5249/910)
Simplify (t**(2/13)*t*t**(2/39))**24*((t/t**(-1/7))/t**7)**14 assuming t is positive.
t**(-690/13)
Simplify ((g**(-17)*g**(-26))/((g*g*g**7/g)/(g/(g/g**28))))**17 assuming g is positive.
g**(-391)
Simplify ((f**(-2/3)/(f/f**(-5/6)))/(f**(-1/6))**20)**(-6/7) assuming f is positive.
f**(-5/7)
Simplify (((i**(-1/32)*i)/(i*i/((i*i**(-1/5))/i)*i))/(i**(-2/7)/i**(-4/11)))**(-34/7) assuming i is positive.
i**(483633/43120)
Simplify (g**(-1)/g**(-3))**19*((g/g**(1/2)*g)**(16/9))**24 assuming g is positive.
g**102
Simplify (((s*s/s**(5/3)*s)/s*s)/(s/(((s*s/s**(1/2)*s*s)/s)/s*s)*s))**(-2/51)/((s**(2/3))**(-35)*(s*((s/s**0)/s*s)/s*s)**18) assuming s is positive.
s**(-1949/153)
Simplify (h*h**(-1/5)*h)/h*(h*h**5)/h*h*h*(h**1)**(-6/25)*((h*h**(-1/8)/h)/(h*h**6))/(h*h**(-1/6)*h*h**7) assuming h is positive.
h**(-5039/600)
Simplify ((u/u**(-3))/(u*u**(-10)))**(2/13)/((u/u**(-4))/(((u*u**1)/u*u*u)/u))**(-4) assuming u is positive.
u**14
Simplify ((j/(j/(j**(-3/2)/j)))**32/((j*j**(-5/8)*j)/j**(-2/51)))**(-1/17) assuming j is positive.
j**(33217/6936)
Simplify (((c**(5/2)/c*c*c**(5/6)/c)/(c**(-4)/(c/c**(-8)*c*c*c)))**19)**37 assuming c is positive.
c**(38665/3)
Simplify ((o/(o/(o**9*o))*o*o/o**(-15))/((o*o/(o/o**(1/2)))/o**21))**(-10) assuming o is positive.
o**(-465)
Simplify (((p/p**6)/p)/((p/p**6)/p)*(p/p**(-1/2))**(20/9))/((p**(1/5)*(p*p/(p**(-5/2)/p*p)*p*p*p)/p)/(p/(p**(-1/2)/p))**(-18)) assuming p is positive.
p**(-1451/30)
Simplify (w**(2/39))**(-23/4)*(w**(-5/6)/w*w)/w*w*w/w**(-14) assuming w is positive.
w**(541/39)
Simplify (q**(4/9)/q*((q/(q*(((q*q/q**9)/q)/q)/q))/q)/q*q)/(q**0)**(-3/2)*((q**(2/43)*q)/q*q**(-2/11))**(1/19) assuming q is positive.
q**(682436/80883)
Simplify ((f*f**(4/3)*f)/(f/(f*f**(-2/7))))**(1/16)*(f**(-5)/(f/(f**(-5)/f)))/(f/f**(-2/3))**3 assuming f is positive.
f**(-353/21)
Simplify ((((t/t**(-3/2))/t)/t)**36*(t**(5/4))**(-25))**(-3/2) assuming t is positive.
t**(159/8)
Simplify ((y**(2/3)*y**4*(y**1/y*y)**(-10/13))**(1/11))**25 assuming y is positive.
y**(3800/429)
Simplify (g*g*g*g/(g/(g**37*g)*g)*g*g*g*g/(g*g*g**(-3/20)/g*g)*g*(g/((g/g**17)/g*g))/g*(g*g/((g**(1/34)/g*g)/g))/g)**13 assuming g is positive.
g**(270153/340)
Simplify (p*p**(3/7)*p/(p**(1/3)*p))**7*(p/(p/p**(1/3))*p/p**(-8))/((p*(p/(p**1/p))/p)/(p*p**(2/15)/p)) assuming p is positive.
p**(242/15)
Simplify ((z**(3/14))**14*z/z**(-3/2)*(z/z**(-6/17))/z)**(-3/32) assuming z is positive.
z**(-597/1088)
Simplify (w/(w/(w**4*w)))/w**(1/3)*(w*w/(w*w**(8/3)))/w**(-3/4) assuming w is positive.
w**(15/4)
Simplify (((r**(-1/4))**(-8)/(r**(-6)*r**(4/5)))**(-9/2))**(-50) assuming r is positive.
r**1620
Simplify ((z/z**(-1/2))**(-24)/(z*z**(2/3)*z**(-2/3)))/((z*z**(2/5)/z)**21*(z**(-2/7))**(12/5)) ass
|
{
"pile_set_name": "DM Mathematics"
}
|
u(12).
-45
Let r(g) = 4523*g - 85932. Calculate r(19).
5
Let i(f) = -296*f + 598. Calculate i(2).
6
Let x(a) = 3*a**3 + 35*a**2 + 17*a - 25. Determine x(-11).
30
Let d(w) = w**2 - 371*w + 2554. What is d(7)?
6
Let p(u) = -8*u**2 - 54*u + 10. Calculate p(-8).
-70
Let o(k) = 29*k**2 + 89*k - 6. What is o(-3)?
-12
Let r(v) = 185*v - 1283. Give r(6).
-173
Let u(y) = y**3 + 13*y**2 + 28*y + 1. Calculate u(-8).
97
Let u(l) = -l**2 + 20*l + 268. Determine u(-10).
-32
Let t(o) = -o**3 - 8*o**2 + 6*o + 18. Give t(-8).
-30
Let w(x) = 18*x**2 - 25*x - 19. What is w(2)?
3
Let h(a) = -10279*a + 71953. Determine h(7).
0
Let n(p) = -2*p**2 - 107*p - 1432. Calculate n(-29).
-11
Let d(f) = -f**3 + 7*f**2 - 7*f - 39. Calculate d(5).
-24
Let j(u) = -2*u**3 - 6*u**2 - 239*u + 244. Determine j(1).
-3
Let m(f) = 47*f + 52. Calculate m(0).
52
Let j(c) = c**3 + 24*c**2 + 12*c + 365. Determine j(-24).
77
Let k(v) = -200*v + 6588. What is k(33)?
-12
Let t(n) = 942*n + 21677. What is t(-23)?
11
Let q(w) = w**3 - 9*w**2 - 27*w + 199. Give q(9).
-44
Let i(j) = 2*j**3 - 24*j**2 + 17*j + 41. Calculate i(12).
245
Let j(x) = 3*x**2 - 70*x + 291. Give j(18).
3
Let q(y) = -158*y - 6007. What is q(-38)?
-3
Let p(l) = -3*l**3 + 17*l**2 + 70*l. Determine p(-4).
184
Let c(l) = -105*l - 1073. What is c(-10)?
-23
Let w(z) = -3140*z + 28264. Calculate w(9).
4
Let d(q) = 5*q**2 + 17*q - 19. What is d(-7)?
107
Let o(l) = -l**3 - l**2 - 2*l + 14. Determine o(-4).
70
Let a(o) = -32*o**2 - 223*o - 133. What is a(-7)?
-140
Let a(d) = -d**3 - 4*d**2 + 75*d + 240. What is a(-3)?
6
Let t(f) = f**3 + 17*f**2 + 23*f + 26. What is t(-6)?
284
Let p(y) = y**3 + 19*y**2 + 73*y + 31. Calculate p(-14).
-11
Let n(o) = 19*o**3 + 510*o**2 - 83*o - 61. Determine n(-27).
-7
Let f(n) = 586*n + 759. Give f(-2).
-413
Let r(f) = 4*f + 18. Determine r(9).
54
Let o(q) = q**3 - 51*q**2 - 109*q + 150. Determine o(53).
-9
Let x(y) = y**2 + 32*y + 20. Calculate x(-8).
-172
Let o(w) = -8*w + 57. What is o(24)?
-135
Let d(z) = 55*z + 3735. Calculate d(-68).
-5
Let g(n) = 81*n + 3531. What is g(-43)?
48
Let o(g) = 12*g + 273. Give o(-22).
9
Let u(t) = -t**3 + 25*t**2 + 28*t + 114. What is u(26)?
166
Let y(o) = o**3 + 14*o**2 + 33. Give y(-12).
321
Let m(a) = -a**3 - 20*a**2 - 598*a - 11956. Give m(-20).
4
Let c(l) = -118*l**2 - 10*l - 1. What is c(1)?
-129
Let g(a) = 101*a - 27. Determine g(6).
579
Let b(h) = 4*h**2 - 27*h - 193. Give b(11).
-6
Let c(l) = -l**2 + 1671*l + 28707. Calculate c(-17).
11
Let v(x) = -109*x - 98. Determine v(3).
-425
Let i(j) = -j**2 + 25*j + 1234. Determine i(-22).
200
Let c(i) = -5*i**2 - 55*i + 36. Calculate c(-12).
-24
Let z(v) = -16*v**2 - 181*v - 71. Determine z(-11).
-16
Let y(n) = n**3 - 28*n**2 + 53*n + 23. What is y(26)?
49
Let u(p) = -p**3 - 14*p**2 + 8*p + 370. Calculate u(-12).
-14
Let m(t) = -t**3 + 25*t**2 - 55*t - 1294. What is m(18)?
-16
Let m(j) = -42*j + 519. Determine m(12).
15
Let h(f) = f**3 + 136*f**2 - 2771*f + 140. Calculate h(-154).
-14
Let k(u) = -u**3 + 16*u**2 + 44*u - 16. Calculate k(18).
128
Let s(d) = 30*d + 1169. Calculate s(-39).
-1
Let j(v) = -11*v - 439. Calculate j(-36).
-43
Let q(g) = 40*g + 98. What is q(-4)?
-62
Let t(z) = 7*z**3 - 13*z**2 - 59*z + 121. Determine t(2).
7
Let q(j) = j**3 + 34*j**2 - 2*j - 102. Calculate q(-34).
-34
Let i(r) = -4058*r - 64902. Give i(-16).
26
Let j(a) = -280*a - 18238. Give j(-65).
-38
Let b(x) = 52*x**3 + x**2 - 5*x + 7. What is b(1)?
55
Let m(g) = 5*g**3 + 14*g**2 + 8*g - 3. What is m(3)?
282
Let y(l) = l**3 - 2*l**2 - 100*l + 1. What is y(0)?
1
Let q(x) = 413*x**2 - 1998*x - 334. Give q(5).
1
Let u(w) = -2*w**2 - 20*w - 43. What is u(-10)?
-43
Let f(d) = d**3 + 17*d**2 - 420*d + 430. Determine f(-31).
-4
Let s(j) = -j**3 - 53*j**2 - 43*j + 502. Calculate s(-52).
34
Let f(z) = -z**3 - 2*z**2 - 53*z - 53. What is f(-7)?
563
Let h(k) = k**3 - 5*k**2 - 17*k - 10. Determine h(8).
46
Let a(m) = -2*m**2 + 173*m - 3481. What is a(55)?
-16
Let j(t) = 1008*t + 105827. Calculate j(-105).
-13
Let t(b) = -b**3 - 45*b**2 - 39*b + 212. Calculate t(-44).
-8
Let r(u) = -u**2 + 12*u + 79. Determine r(15).
34
Let s(v) = -v**3 + 13*v**2 - 20*v - 29. Calculate s(11).
-7
Let g(w) = -2*w**3 + 17*w**2 + 79*w - 794. Determine g(8).
-98
Let j(x) = -14*x + 310. What is j(6)?
226
Let i(v) = v**2 - 16*v - 414. Determine i(-14).
6
Let a(h) = 6*h**3 + 5*h**2 + 11*h + 4. What is a(-3)?
-146
Let m(f) = -3*f**3 - 17*f**2 + 52*f + 309. Give m(-5).
-1
Let o(d) = -99*d - 845. Calculate o(-8).
-53
Let g(j) = -10*j**2 + 39*j - 13. Determine g(4).
-17
Let f(y) = -5*y**3 - 161*y**2 - 32*y + 13. Calculate f(-32).
13
Let o(s) = s**2 + 6560*s - 45965. Determine o(7).
4
Let d(p) = 2*p**2 - 5*p + 2. What is d(5)?
27
Let d(o) = -28*o - 98. Give d(-5).
42
Let n(v) = -4*v**2 - 26*v + 118. What is n(-10)?
-22
Let k(x) = -11*x - 13. What is k(-5)?
42
Let c(d) = d**2 + 6*d - 135. Give c(8).
-23
Let b(i) = 7*i + 51. Calculate b(-13).
-40
Let j(o) = o**3 - 18*o**2 - 6*o + 576. Determine j(7).
-5
Let w(v) = 2*v**3 + 29*v**2 - 50*v - 501. Determine w(-15).
24
Let p(z) = -z**3 - 21*z**2 + 57*z + 1613. What is p(-20)?
73
Let m(b) = -96*b + 964. What is m(10)?
4
Let x(b) = -2*b**2 + 115*b + 542. What is x(64)?
-290
Let c(y) = y**2 + 3*y - 46. What is c(-15)?
134
Let a(n) = -5*n**2 - 38*n + 145. Calculate a(14).
-1367
Let v(d) = -14*d + 583. Give v(47).
-75
Let b(o) = 10*o**2 - 1492*o + 3237. Determine b(147).
3
Let a(s) = 29*s + 173. Determine a(-8).
-59
Let w(l) = -9*l + 245. Give w(26).
11
Let o(r) = -39*r**3 - r**2 - 10*r + 10. Calculate o(1).
-40
Let k(c) = -294*c + 4409. Calculate k(15).
-1
Let u(y) = y**3 - 213*y**2 - 162*y + 34509. What is u(213)?
3
Let c(w) = w**3 + 15*w**2 - 2*w - 85. Determine c(-12).
371
Let g(z) = -z**3 + 31*z**2 + 6*z - 143. Give g(31).
43
Let q(a) = -2*a - 94. What is q(-31)?
-32
Let l(j) = -73*j + 2051. What is l(28)?
7
Let x(u) = 3*u**3 - 3*u**2 - 34*u + 60. Determine x(2).
4
Let j(u) = -8*u**3 + 36*u**2 + u - 1. Give j(2).
81
Let y(h) = -6*h**2 + 47*h + 909. Calculate y(-9).
0
Let a(i) = -i**3 + 199*i**2 - 3581*i + 15. Calculate a(20).
-5
Let v(w) = 3*w**3 + 9*w**2 - 404*w - 834. What is v(-2)?
-14
Let k(r) = -33*r**2 + 459*r + 35. Calculate k(14).
-7
Let v(d) = d**3 - 18*d**2 + 8*d - 26. Calculate v(18).
118
Let o(t) = -t**3 + 4*t**2 - 56*t + 317. Give o(5).
12
Let f(y) = y**2 + 12*y + 28. What is f(-5)?
-7
Let r(u) = u**3 - 31*u**2 - 18*u + 70. Calculate r(31).
-488
Let g(o) = -23*o + 302. Give g(17).
-89
Let p(c) = 644*c - 10329. Determine p(16).
-25
Let v(h) = -h**2 - 115*h - 3143. Determine v(-45).
7
Let x(i) = -10*i**2 + 473*i - 108. Give x(47).
33
Let d(u) = u**2 + 402*u + 40326. Give d(-192).
6
Let r(p) = p**3 - 29*p**2 - 251*p + 5. Determine r(36).
41
Let p(m) = 1110*m - 5546. Calculate p(5).
4
Let o(b) = b**2 + 117*b + 1925. What is o(-97)?
-15
Let y(g) = g**3 - 50*g**2 + 5*g + 2166. Determine y(49).
10
Let t(r) = -5*r - 117. Determine t(5).
-142
Let a(f) = f**2 - 17*f + 73. What is a(7)?
3
Let j(o) = 5*o**2 + 68*o - 172. Calculate j(-16).
20
Let z(u) = -114*u**2 - 24*u - 4. What is z(-1)?
-94
Let w(s) = 31*s - 196. Give w(8).
52
Let y(v) = -v**2 - 101*v + 639. What is y(-107)?
-3
Let y(h) = -h**3 + 7*h**2 + 156*h - 12. Calculate y(-9).
-120
Let s(k) = 2*k**2 + 231*k + 1410. Give s(-109).
-7
Let z(l) = -l**3 + 6*l**2 - 31*l + 5. Give z(7).
-261
Let p(g) = 6*g**3 + 15*g**2 - 41*g - 11. Determine p(-4).
9
Let y(c) = 129*c**3 + c**2 - c - 8. Calculate y(2).
1026
Let f(c) = -c**3 + 12*c**2 - 36*c - 5. What is f(4)?
-21
Let n(f) = -30*f + 2014. Give n(67).
4
Let p(r) = -2*r**3 + 22*r**2 + 8*r - 103. What is p(11)?
-15
Let z(u) = -178*u**2 + 4*u + 8. Calculate z(-2).
-712
Let p(c) = -11*c + 703. Give p(67).
-34
Let x(a) = -102*a**3 - 2*a**2 - 5*a - 4. Determine x(-1).
101
Let m(k) = -86*k**2 + 351*k - 13. Give m(4).
15
Let g(a) = a**3 + 130*a**2 + 503*a - 132. Give g(-126).
-6
Let y(n) = 2*n**2 - 43*n + 587. Give y(11).
356
Let y(p) = -2*p**2 - 23*p - 13. What is y(-15)?
-118
Let k(v) = -2499*v + 127448. Give k(51).
-1
Let t(o) = -10*o**3 + 4*o**2 - 2*o - 10. What is t(0)?
-10
Let z(s) = s**3 - s**2 - 6*s - 5. What is z(-3)?
-23
Let g(d) = -86*d - 1891. Determine g(-22).
1
Let u(g) = 223*g - 1335. Determine u(6).
3
Let k(d) = 354*d -
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of -c**5/60 + c**3/3 - 3*c**2/2 - 3*c. Let a(w) be the first derivative of x(w). Find the first derivative of a(u) wrt u.
-2*u
Suppose -3*n - 3 = -3*j, 0 = 5*j + 6*n - 4*n + 2. Let z = 1 + j. Find the first derivative of 1 - 6*c**4 + 8*c**4 + z wrt c.
8*c**3
Let m(h) be the third derivative of -5*h**2 + 0 + 1/8*h**4 + 0*h**3 + 0*h - 1/60*h**5. Find the second derivative of m(f) wrt f.
-2
Let n(g) = -g**3 - 10*g**2 + 10*g - 2. Let x be n(-11). Find the second derivative of -5*w**2 + 2*w - x*w + 7*w**2 wrt w.
4
Suppose 2 = 4*i - 2. What is the third derivative of 2*b**2 - 6*b**3 + 4*b**3 - 1 + i wrt b?
-12
Let v(g) = 20*g**4 - g**3 + g - 32. Let b(t) = -t**3 + t - 1. Let j(w) = -b(w) + v(w). What is the first derivative of j(r) wrt r?
80*r**3
Let f(d) = -19*d**5 + 6*d**4 + d + 6. Let l(m) = -18*m**5 + 5*m**4 + 2*m + 5. Let x(q) = 5*f(q) - 6*l(q). What is the second derivative of x(o) wrt o?
260*o**3
Let m be (1/(-2))/(1/2). Let a = 0 - m. Differentiate 2*r + 2*r**2 + a - 2*r wrt r.
4*r
Let a(l) = l**3 + 3*l**2 - 2*l - 2. Let v be a(-2). Let z = -3 + v. Differentiate -3*t**4 - 3 + z*t**4 - 3*t**4 + 0*t**4 with respect to t.
-12*t**3
Let f = -31 + 53. Suppose 0 = 4*k + f - 6, -3*i - 5*k = 11. What is the derivative of -i + 3*g - 2 + 3 wrt g?
3
Suppose -5*q = 3*v - 29, 3*v = q - 0*v + 5. Suppose l + q*l = 15. What is the derivative of -y**l + 2 - y**3 + 0 wrt y?
-6*y**2
Let b(q) be the first derivative of q**6/15 - 5*q**4/12 + q + 4. Let a(c) be the first derivative of b(c). Find the third derivative of a(t) wrt t.
48*t
Let o(z) = z**3 - 11*z**2 + 9*z + 8. Let l be o(10). Let d(w) = w**2 + w. Let x be d(l). Find the third derivative of -3*q + 3*q**2 - x*q**5 - 3*q + 6*q wrt q.
-120*q**2
Let s be 4 - (-1 + 0 + 3). Suppose 2*a - 7*a - 5*h + 5 = 0, 4*h = 2*a - 8. Differentiate s*i - 2 - 3*i**a - 2*i + 3 wrt i.
-6*i
Let d(q) be the second derivative of q**5/20 + 5*q**4/12 - q**3/6 - 3*q**2/2 + 2*q. Let b be d(-5). Differentiate 0*f + 0*f - 2*f**b + 1 with respect to f.
-4*f
Find the third derivative of 7*a**4 + 9*a**4 - 34*a**4 + 13*a**4 - 20*a**2 wrt a.
-120*a
Suppose -2*s - 10 = 4*m, 2*s + m = 2*m + 10. What is the derivative of g**4 - 10*g**4 - 2 + 9 + s*g**4 wrt g?
-24*g**3
Let w(f) be the second derivative of f**5/5 + f**3/3 - 7*f. What is the second derivative of w(t) wrt t?
24*t
Let v(o) be the second derivative of 3*o**6/10 - o**4 + 9*o. Find the third derivative of v(n) wrt n.
216*n
Let u(p) be the second derivative of -11*p**6/30 + p**2 - 3*p. Find the first derivative of u(c) wrt c.
-44*c**3
Suppose 0 = 5*d - d. Suppose d = -5*n + n + 16. What is the third derivative of 0*x**4 + 0*x**n + 0*x**2 + 2*x**2 + x**4 wrt x?
24*x
Let p(h) be the third derivative of -13*h**7/210 + 5*h**3 - 2*h**2 - 17*h. Find the first derivative of p(o) wrt o.
-52*o**3
Let q be ((-234)/30)/3 + 3. Let f(b) be the first derivative of 0*b**3 - 1 + q*b**5 + 3*b + 0*b**4 + 0*b**2. Find the first derivative of f(r) wrt r.
8*r**3
What is the second derivative of 17 + m - 20*m**2 + 19 - 18 wrt m?
-40
Let u(v) be the first derivative of -6*v**5/5 - 2*v**3 - 9. Find the third derivative of u(a) wrt a.
-144*a
What is the third derivative of 6*m**6 + 4*m**2 - 8*m**6 - 2*m**2 - m**2 wrt m?
-240*m**3
What is the third derivative of -7*o**2 - 22*o**4 + 33*o**4 - 3*o**2 wrt o?
264*o
Let d(j) = 4*j**2 - 5*j - 3. Suppose m - 2*m - 5 = 0. Let t(i) = i + 1. Let f(v) = m*t(v) - d(v). What is the first derivative of f(s) wrt s?
-8*s
Suppose 4*p = p + 12. Suppose 3*x + 4*v = x - 12, p = -v. What is the second derivative of m**3 + m**x - m - m**2 wrt m?
6*m
Let l(b) be the second derivative of b**5/5 + 9*b**2/2 - 9*b. What is the derivative of l(p) wrt p?
12*p**2
Let f be ((-3)/(-6))/((-1)/(-4)). Suppose 5*v - 8 - 2 = 0. Find the third derivative of -h**6 - 16 + 16 - f*h**v wrt h.
-120*h**3
Suppose 5 = 5*u, -x + 0*x - 1 = -3*u. What is the second derivative of 5*p + 2*p - p + 7*p**x wrt p?
14
Let o(j) = -2*j**3 - 3*j**2 + 3*j + 3. Let b(g) = -8*g**3 - 13*g**2 + 13*g + 12. Let s(d) = -6*b(d) + 26*o(d). Find the first derivative of s(m) wrt m.
-12*m**2
Let j(p) be the third derivative of 0*p + 4*p**2 + 7/24*p**4 + 4/105*p**7 + 0*p**6 + 0 + 0*p**3 + 0*p**5. Find the second derivative of j(b) wrt b.
96*b**2
Let a(q) = -q**2 + 6*q + 3. Let z be a(6). What is the third derivative of -1 + j**z + 2*j**3 - j**2 + 1 wrt j?
18
Let v(f) be the first derivative of 7*f**5 - 15*f**2 - 21. Find the second derivative of v(c) wrt c.
420*c**2
Let f(b) be the first derivative of 1/2*b**2 + 2*b + 2 - 1/6*b**3. Let d(s) be the first derivative of f(s). Differentiate d(p) with respect to p.
-1
Let u be (11/2)/(1/2). Let i(k) = 3*k**3 - 2. Let r(z) = 16*z**3 - 9. Let p = 4 - 6. Let q(y) = p*r(y) + u*i(y). What is the first derivative of q(s) wrt s?
3*s**2
Let q(v) be the third derivative of v**5/30 - 13*v**3/6 + 13*v**2. What is the derivative of q(m) wrt m?
4*m
Find the third derivative of 26*v - 26*v - 9*v**2 - v**3 - 4*v**3 wrt v.
-30
Find the third derivative of -18*c**2 - 6*c**2 - 22*c**3 - c**2 - c**2 wrt c.
-132
Let v(z) be the third derivative of -2/3*z**3 + 0*z**4 + 0 + 0*z - 3*z**2 - 1/10*z**5. Differentiate v(c) wrt c.
-12*c
Let p be (-1)/(1 + -3)*4. Let y be 2 + -4 + (4 - p). Find the third derivative of -2*v**2 - v**2 - 3*v**4 + y + 0 wrt v.
-72*v
Let v = -19 - -21. Let m(x) be the first derivative of 0*x - 1/2*x**v + 1/3*x**3 + 2. What is the second derivative of m(g) wrt g?
2
Let r be (-6)/(-21) - (-26)/7. Let a(j) = j + 8. Let w be a(-6). What is the second derivative of r*z + 2*z**2 + 0*z**w - 2*z wrt z?
4
Let i(g) be the second derivative of g**10/7560 + g**7/504 - g**4/3 + 2*g. Let v(d) be the third derivative of i(d). Find the third derivative of v(h) wrt h.
240*h**2
Differentiate 7*h + 6 - 6 - 2 wrt h.
7
Let s(q) = q**3 + q**2 - q. Let v(p) be the first derivative of 3*p**4 + p**3 + p**2 - 10. Let u(x) = 3*s(x) - v(x). Find the second derivative of u(o) wrt o.
-54*o
What is the third derivative of -18*d**2 - 3*d**2 - 6*d**5 - 13*d**2 - 2*d**5 wrt d?
-480*d**2
Suppose -2*o + 4*o - 18 = 0. Find the first derivative of -p - o - 2*p + 10*p wrt p.
7
Let l be (-4 + -1 - -3) + 5. Differentiate 0 - l*b**4 - 2 + 0 wrt b.
-12*b**3
Let i(v) be the second derivative of v**6/10 + v**5/20 - 9*v**4/4 + v**3/3 - 36*v. What is the third derivative of i(n) wrt n?
72*n + 6
Let m(v) = 4*v**2 - 4 + 2 + 6 - 1 + 6*v. Let r(h) = -h**2 - h. Let z(f) = m(f) + 6*r(f). Differentiate z(s) wrt s.
-4*s
Let v(m) = m**2 + 3*m + 4. Let r be v(-3). Find the second derivative of -3*p + 2*p - r*p**4 - p**4 wrt p.
-60*p**2
Let m(c) = c**3 + 3*c**2 - 47*c - 3. Let w(j) = -2*j**3 - 5*j**2 + 71*j + 5. Let h(z) = -8*m(z) - 5*w(z). What is the second derivative of h(i) wrt i?
12*i + 2
Suppose -4*i - 3*h + 15 = -20, 0 = 4*h - 20. Let v(u) = u**3 - 3*u**2 + 2. Let f be v(3). Find the third derivative of 2*z**i - 3*z**5 + 0*z**2 + 2*z**f wrt z.
-60*z**2
Let i(r) be the third derivative of 17*r**7/210 + 3*r**4/4 + 2*r**2. Find the second derivative of i(t) wrt t.
204*t**2
Let r be (-2)/4 - (-12)/8. What is the derivative of -3 - r + 5 - y**2 wrt y?
-2*y
Let n(t) = t**3 - 17*t**2 + 5*t - 5. Let k(j) = 4*j**3 - 52*j**2 + 16*j - 16. Let m(s) = -5*k(s) + 16*n(s). What is the third derivative of m(q) wrt q?
-24
Let p(r) = 22*r**2 + 7*r - 52. Let f(b) = -11*b**2 - 4*b + 26. Let a(k) = -7*f(k) - 4*p(k). What is the derivative of a(w) wrt w?
-22*w
Let m(a) be the second derivative of -4*a**2 + a + 0*a**3 + 1/6*a**4 + 0. Differentiate m(z) with respect to z.
4*z
Suppose 4*x = -1 - 3. Let b(j) = -3*j**2 + 4*j - 6. Let y(r) = -r**2 + r - 1. Let d(s) = x*b(s) + 4*y(s). Find the first derivative of d(i) wrt i.
-2*i
Let n(r) = -3*r**3 + 9*r + 3. Let v(w) = w**3 - 4*w - 1. Suppose 14 = 4*b - 2. Let q(i) = b*n(i) + 9*v(i). What is the derivative of q(h) wrt h?
-9*h**2
Let v(i) = i - 1. Let u be v(4). Find the second derivative of -2*y - 2*y**4 - u*y + 2*y wrt y.
-24*y**2
What is the second derivative of 3*s**2 + 7*s**2 + 0*s - s - 3*s wrt s?
20
Let y(x) be the second derivative of x**5/20 + x**4/8 - 2*x**2 + 5*x. Let n(m) be the first derivative of y(m). Find the second derivative of n(w) wrt w.
6
Let q(t) be the first derivative of -5*t**7/7 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
156)*40/(-2)*(-50)/(-125).
-4/3
Evaluate (15*25/135)/(((-1476)/41)/(-108)).
25/3
6/4*20/(-1040)*1136/(-3621)
2/221
What is the value of 35/10*(-438)/(-1533)?
1
Evaluate ((-3)/(-9)*-3)/(68/(-136)*4/78).
39
What is (12/(-16))/((-466)/(-1165))?
-15/8
Calculate (40/32*(-24)/40*1)/((-630)/(-35)).
-1/24
What is the value of ((-12)/63)/((22816/3726)/(-124))?
27/7
What is 84/(29820/71)*1095/3?
73
Calculate (2392/(-2760))/((-39)/(-18))*5*33.
-66
(-2255)/205*(-50)/110
5
Evaluate (-2)/(8/(-7))*-2*98280/5292.
-65
What is ((-1760)/48*6*(-2)/(-10))/(2*7)?
-22/7
What is ((-369)/(-144))/(56/448)*1*2/2?
41/2
Calculate (-414)/(-24)*(392/(-588))/((-1)/(-6)).
-69
Calculate ((-3)/(-168)*6)/(39*(-40)/(-27300)).
15/8
((-1784)/(-2230))/(9/30*32/(-744))
-62
What is (-41)/2*(96/(-120))/((-102)/(-255))?
41
Calculate ((-97)/(-145015)*-65)/((-3)/1).
1/69
What is (6/8)/((-57456)/16128)?
-4/19
Calculate (-1)/3*(-9393)/(-25048).
-1/8
Evaluate 36/(-136)*(-1649)/(-2910).
-3/20
Calculate -11*(-408)/(-45441)*36/48.
-2/27
320/20*93/(-620)
-12/5
Evaluate (-4900)/343*(-1281)/305.
60
((-1)/(-4))/((87/(-406))/(405/63))
-15/2
Evaluate (-81)/45*1*(-10)/7*287/(-41).
-18
What is (14160/37760)/((18/16)/3)?
1
Evaluate ((192/172)/(-4)*953/7624)/(1/2).
-3/43
Calculate ((-98)/(-3136)*928)/((-4)/8).
-58
What is the value of (((-315)/12)/7)/(21/1680*-15)?
20
What is the value of 48/2940*(-140)/120?
-2/105
Evaluate ((-60)/6)/(140/49*21/72).
-12
What is the value of ((38304/(-4224))/133)/((-63)/(-33))?
-1/28
Evaluate (((-64)/24)/8)/(((-154)/14)/(-561)).
-17
Calculate (-158*(-140)/60830)/((-4)/682).
-62
Calculate ((41/(-82))/((-965)/10))/(6/(-12)).
-2/193
Calculate 13/((-30)/(-5670)*273).
9
Evaluate ((-17)/34)/((2/(-854))/((-70)/(-245))).
61
Calculate (1889360/339)/(-304)*(-15)/11.
25
Calculate ((-555)/20)/((-9)/7*(14875/(-300))/85).
-37
What is the value of ((112/(-384))/((-5)/10*1))/((-15)/12)?
-7/15
Evaluate 18/160*(-11360)/(-3408).
3/8
What is the value of (2*6/(-8))/((-38)/(3268/(-3)))?
-43
What is the value of (3/12)/(8/93600*65)?
45
((-2)/(-21))/((-6590)/(-83034))
6/5
What is the value of (10/(-20))/((-144)/2208*(-1)/(-12)*2)?
46
Evaluate 12/14*1*3314/(-182270)*140/6.
-4/11
What is the value of (11/(-198)*20)/(544/(-4896))?
10
What is the value of (-18)/(-54)*(135/(-1287))/(-5)?
1/143
What is (44814/539)/97*(-14)/(-54)?
2/9
(-1)/3*((-125400)/44)/(-19)*1/(-14)
25/7
((-9)/(-6))/((-7)/(-28)*-8*(-3)/(-25))
-25/4
What is the value of 4*1/((-240)/(-20))*-1?
-1/3
Evaluate (1/(1/2))/(463650/(-3091)).
-1/75
What is (-165)/20*(-6424)/(-438)?
-121
Evaluate ((338/26)/(-13))/(6/132).
-22
What is the value of 991/(-12883)*26/(-166)*1/1?
1/83
What is -26*(-35)/(-455)*(9/2)/3?
-3
(22/(-22))/((-17)/(102/36))
1/6
Evaluate (18/(-14))/(16353/(-18170))*49/2.
35
What is the value of 4*(((-1)/12)/((-280)/(-6888)))/(-1)?
41/5
(-219)/(-2482)*-18*(-30)/(-405)
-2/17
What is ((-3)/(-15)*33)/(49152/(-10240))?
-11/8
What is the value of 24*((-14)/336*-88)/((-1760)/(-64))?
16/5
Evaluate (((-500)/820)/(-25))/(((-15)/40)/(9/(-12))).
2/41
What is ((-621)/(-3))/(-47*21/(-329))?
69
Calculate (-5)/(-4)*2*2/26*(-12714)/(-4890).
1/2
What is (47965/7240)/(7/(-56))?
-53
What is the value of -18*4/8*-17*(-3016)/(-7956)?
58
Evaluate ((20/14)/(717/5019))/(2/28*-5).
-28
173/((-52938)/(-96))*6/(-8)
-4/17
Calculate ((-9215)/570)/(5/(-30)).
97
Evaluate ((10/(-50))/((-18)/((-6048)/8)))/((-4)/50).
105
What is the value of 6/((-2088)/66)*76/(-209)?
2/29
Evaluate (15912/(-6120))/(416/(-15)).
3/32
What is (11/(-2))/((-20)/24*(-567)/(-1890))?
22
What is (72/(-4))/(44/(-3300)*-25)?
-54
Calculate (11/(-165))/(((-5)/60)/((-21)/28)).
-3/5
What is 41*(-243)/3321*(-226)/6?
113
What is -84*4/658*47?
-24
(-4428)/(-144)*13/(117/12)
41
What is 29/(-29)*((-261)/(-522))/(-1*2/(-268))?
-67
(2/(((-144)/(-84))/(8/(-7784))))/((-17)/68)
2/417
Calculate 21/(-6)*(-375)/(-875).
-3/2
What is the value of 4002/(-644)*(-196)/42?
29
Calculate 57/(7866/184)*6/768*1*-9.
-3/32
What is (12/(-204))/(243/20655)?
-5
What is (-1729)/(-182)*256/912?
8/3
What is (1572/(-6812))/((-5)/130)?
6
Calculate -2*36/(-56)*189/(-567).
-3/7
Calculate 225260/(-45052)*107*2/(-10).
107
What is the value of (2124/(-8968))/((-9)/(-8))?
-4/19
Evaluate ((-385)/11)/(12/12).
-35
What is the value of (20/5)/((-70)/(-55)*(-231)/(-84))?
8/7
Evaluate (-377)/(-87)*(-378)/(-234).
7
Calculate ((-20)/(-36)*567/(-189))/(1/(-45)).
75
483/(-1794)*(-1638)/294
3/2
150/225*(-3)/2*10/(2/1)
-5
What is 3*(657*(-14)/(-252))/(((-459)/18)/(-17))?
73
(-1177)/33*(1092/(-28))/(-13)
-107
Calculate 113/(47912/1590)*(-144)/20.
-27
What is ((-4368)/(-252))/(16/(-12))?
-13
What is (726/3872)/((-36)/(-3)*(-3)/(-160)*-2)?
-5/12
Calculate 6/(-4)*((-11350)/(-2724))/((-2)/24*-3).
-25
(-10)/4*93*(69/2070)/(1/(-4))
31
(12/3)/(4182/(-23001))
-22
Evaluate 3/((-42)/(-416))*(-53816)/15376.
-104
((-1398)/(-31455))/((-1)/3)
-2/15
(30*(-2)/8*4/(-40))/(30/(-360))
-9
Evaluate ((-148603)/(-2275))/23*-25.
-71
Calculate ((-29)/((-319)/(-3)))/((42/858)/(-7)).
39
Evaluate 2*21*17*((-216)/(-3672))/(2/(-2)).
-42
Evaluate (13/(-2))/((-71058)/131184).
12
What is the value of -8*(-14)/224*8/(-2)*7/(-14)?
1
Calculate 11*(-24)/(-176)*(-185)/444*136.
-85
(-59*4/16*(-16)/6)/(594/(-891))
-59
What is (-3)/(-12)*209520/(-31428)?
-5/3
Calculate 70/(-3)*26325/(-20475).
30
Calculate ((-1634)/258)/(2/10)*2/((-18)/27).
95
What is the value of ((-12)/2)/(-2)*(1/12)/((-8)/(-352))?
11
(-36)/(-22)*(-105)/945
-2/11
What is the value of (5/260)/(4386/722228)?
19/6
((-15)/(-2280)*40)/(1/76*8)
5/2
What is the value of 944/(-1947)*(-42)/(-336)?
-2/33
What is (-48)/(-2)*(-570)/(-76)*(-2)/(-84)*-7?
-30
Calculate ((87/406)/((-330)/55))/(1/(6/2)).
-3/28
What is (-3640)/(-1040)*(-150)/14*16/10?
-60
What is 60/(-8)*((-1)/(-3)*-2)/(1620/(-5832))?
-18
What is (19/1596*4)/(8/(-16)*8/(-36))?
3/7
Calculate (10*3/(-9))/((-30600)/192780).
21
What is 27/495*-3*(-24)/(-108)*-25?
10/11
Evaluate (-3)/((-18)/153*442/(-312)).
-18
Calculate (-9666)/1253*(-161)/(-46).
-27
Calculate (117/26)/(1083/7942).
33
Evaluate (-11799)/3105*(-20)/(-50)*50.
-76
What is the value of ((-3)/1)/(((-480)/(-310))/(-16))?
31
What is (1989/(-13))/((-675)/150)?
34
Calculate ((-8)/10)/((-19)/(5700/85)*-8).
-6/17
What is 2772/1980*(-5)/3?
-7/3
What is ((-48)/(-480))/((-192)/(-108)*(-36)/240)?
-3/8
Calculate 24/168*(13566/4)/(-19)*1.
-51/2
What is the value of (2/12*(-696)/(-580))/((-40)/550)?
-11/4
Evaluate (3/((-12)/5))/((-572)/(-8448)*40).
-6/13
Calculate ((-9)/15)/((-43)/(-72670)*-26).
39
What is 1*-39*7/(-56)*1760/(-330)?
-26
Evaluate (-2)/(-30)*(-975)/(-1365).
1/21
Calculate (91/(2275/150))/((-1)/((-96)/(-22))*-4).
72/11
Evaluate 3/(-15)*2/13*365/(-14016)*32.
1/39
Evaluate 35/182*(-48)/(-40)*13*(-44)/(-3).
44
What is (219/((-134904)/(-7040)))/(20/168)?
96
What is the value of (52/(-6))/2*2907/(-323)?
39
What is 69/253*(-22)/60*20/8?
-1/4
Calculate (250/(-15))/(-10)*((-656)/(-6888))/(4/(-7)).
-5/18
Evaluate (66/114)/(((-580)/551)/(-10)).
11/2
What is ((57950/(-75))/(-19))/((-3)/(54/(-12)))?
61
What is the value of (-100*(-64)/(-80))/2?
-40
Calculate 4*64/(-816)*((-630)/(-20))/21.
-8/17
What is the value of ((-2)/4)/1*((-36)/264)/(180/110)?
1/24
What is ((-59)/(-150096)*106)/(2/6)?
1/8
(-72)/3*(1026/1368)/((189/(-48))/7)
32
Calculate ((-3287)/1211)/((2/(-42))/(525/(-225))).
-133
What is (-8208)/(-3591)*(-42)/360?
-4/15
What is the value of (3*1/666)/(((-38)/95)/(312/390))?
-1/111
Calculate ((8/10*7)/((-224)/560))/(44/11).
-7/2
What is the value of (22/((-484)/66))/2*(-224)/(-6)?
-56
Evaluate ((-26)/351*-18)/((-482)/(-5061)).
14
Calculate (-16*20/(-1760))/(35/11).
2/35
(1/((-24)/(-15)))/((-20)/8)*-328
82
68/(-17)*246/41
-24
17/((-6188)/294)*768/(-336)
24/13
What is ((68931/(-18))/(-207))/(1/4)?
74
Evaluate 144/(-672)*-63*-4*1/3.
-18
Evaluate (1388/(-2082))/(6/(-3015))*1/(1*5).
67
Evaluate (3/((-45)/28))/(58/((-8526)/(-49))).
-28/5
What is the value of (39/39)/(12/(-90)*5*(-9)/(-228))?
-38
What is (318/(-11130))/(2/14)*(-4)/24*3?
1/10
Evaluate ((-9)/(-2))/(1302/(-3224))*1120/(-240).
52
What is (201344/13728)/(48/9)?
11/4
1/2*3*93366/(-6156)*(-6)/14
39/4
Evaluate (-11)/1*(-24)/(-48)*(-4)/((-32)/(-4)).
11/4
What is 91/26*(675/70)/45*16/(-2)?
-6
What is the value of ((318/1)/6*1)/((-29)/(580/20))?
-53
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
nd (1 + 0 + 1)*(-18*v**2 - 7*v + 7*v)*(18*v + 9*v - 14*v).
-468*v**3
Expand (-2*o - 2 + 2)*(-2 + 2 - o) + (47 - 47 + 27*o)*(o + 1 - 1) + 3*o**2 + o**2 - 8*o**2.
25*o**2
Expand (7*s**4 - 7*s**4 - 2*s**4 + s**4 - 6*s**4 + 3*s**4 + (2*s**2 - s + s)*(3*s**2 + s**2 + 0*s**2) + 2*s**4 - 3*s**4 + 3*s**4)*(-s + 2*s - 3*s).
-12*s**5
Expand ((6*h - 4*h + 0*h)*(4 - 2 - 1) + 2*h + 4 - 4)*(1 - 1 - h) + 82 + 8*h**2 - 82.
4*h**2
Expand (2 - o - 2)*(-2*o + o + 2*o) + (o - 4*o + 2*o)*(o - 8*o - 9*o).
15*o**2
Expand 2*o - 2*o - 4*o**2 + 2*o**2 + 0*o**2 + 2*o**2 + o**2 + 0*o**2 + o**2 + (2 - 4 + 3)*(-1 + o**2 + 1) + 4*o**2 - 5*o**2 + 0*o**2 - 80 - 3*o + 80 + 4*o**2.
6*o**2 - 3*o
Expand (-1 - 3*v + 3 + v)*(6*v**4 + 11*v**4 + 14*v**4).
-62*v**5 + 62*v**4
Expand -2*f + 3*f + f + (12 - 5 + 3)*(2*f - 6*f + 3*f).
-8*f
Expand (2*p**4 - 3*p**4 + 0*p**4)*(-3 + 3 + p) + 0*p**5 - 3*p**5 + 2*p**5 - p**5 - 4 + 4 - 2*p**2 + 2*p**2 + p**5 + 973*p**4 - 6*p**5 + 13 - 972*p**4 + 7.
-8*p**5 + p**4 + 20
Expand (0*p - 15902 + 15910 - 62*p - 24*p)*(p**3 + 3 - 3).
-86*p**4 + 8*p**3
Expand (-341*x - 25754 - 43*x + 25758)*(4 + 1 - 3).
-768*x + 8
Expand 34*y**4 - 13*y**4 - 69*y**4 - 140*y**4 + (2*y**2 - 6*y**2 + 3*y**2)*(y**2 - 1 + 1).
-189*y**4
Expand (30*r**5 - r - 33*r**3 + 33*r**3)*(0 - 10 - 1).
-330*r**5 + 11*r
Expand (-482*d**4 - 236*d - 129*d**4 + 236*d + 11*d**4)*(3*d - 2*d - 5*d).
2400*d**5
Expand (z + 1 - 1)*(z - 5*z + 3*z) + (3*z - 6*z + 2*z)*(41 + 49*z - 41).
-50*z**2
Expand (-3*n + 0*n - 2*n)*((6 - 2 - 2)*(0 + 0 - 2*n) + 0*n + 0*n + 2*n).
10*n**2
Expand -4*p**2 - 6*p + 6*p + (3 + 4*p - 3)*(-3*p + 0 + 0) + 3 + p**2 - 3 + (3 - 4 + 0)*(-2*p + 2*p + 2*p**2) + 2*p**2 + p**2 + p**2.
-13*p**2
Expand (3 + 2 - 1)*(-4*a**2 - 2*a**2 - 5*a**2)*(0 + 2 - 3) - 6*a**2 + 12*a**2 - 2*a + 4*a**2.
54*a**2 - 2*a
Expand (-r**2 + 3*r**2 - r**2)*(3 + 2 - 3) - 446 - 361*r**2 + 724*r**2 - 361*r**2.
4*r**2 - 446
Expand (4 + 6*v**3 + 9*v**3 - 14*v**3)*(-32 + 6*v**2 - 4*v**2 + 30).
2*v**5 - 2*v**3 + 8*v**2 - 8
Expand (d - 3*d**2 - d)*(43*d + 3*d + 10*d) + (-3 + 3 + d**2)*(5*d - 3*d - 3*d).
-169*d**3
Expand (1 + 1 - 4)*(3 - 3 + 2*v) + 4*v - 6*v + 0*v - v - 2*v + v + 0*v - v + 3*v - 112*v - 913 + 913 - 134*v.
-252*v
Expand (3 + 1 - 6)*(w**2 - w**2 - w**2)*(223*w - 3622 + 3622).
446*w**3
Expand (-2*a - a + 0*a)*(-310*a + 16*a**2 + 310*a).
-48*a**3
Expand 5*x**2 - 5*x**2 - x**2 + 2*x**2 + 0*x**2 + 5*x**2 + (0*x + x - 2*x)*(6 + 0 - 1)*(4*x - 4*x + x).
x**2
Expand (-29*i**4 + 861*i**3 - 861*i**3)*(4 - 4 - i).
29*i**5
Expand 1 + u - 1 + 2*u**2 + (-47*u + 133*u + 87*u)*(2*u - u + 0*u) - u**2 + 0*u**2 + 2*u**2.
176*u**2 + u
Expand 567*p**3 + 23*p**5 - 567*p**3 + (-3*p**5 + p**5 - p**5)*(0 + 1 + 1).
17*p**5
Expand (1 - 2*z**3 - 3 + 5)*(-112 - 76 - 7).
390*z**3 - 585
Expand (-s**2 + s**2 + 3*s**2)*(-4*s**2 - 4*s**2 + 0*s**2) + 3*s**4 - s**4 - s**4.
-23*s**4
Expand -4 - 2*x + 3*x + 6 + (2*x - 4*x + 0*x)*(-1 - 1 + 3).
-x + 2
Expand (47*n - 112 - 14*n + 112)*(5 - 3 - 3)*(-4 - 12 + 1).
495*n
Expand (-2*w**3 + 2*w**3 + w**3)*(-w - 2*w + 0*w) - 4*w**4 + 0*w**3 + 0*w**3 - 249*w - 1 + 2*w**4 - w**3 + 249*w + 4*w**2.
-5*w**4 - w**3 + 4*w**2 - 1
Expand (-21 - 4 - 1)*(-4 + 3 + f - 1).
-26*f + 52
Expand (-17*l + 7*l + 6*l)*(2*l + 0*l + 3*l) - l**2 - 3*l**2 + 5*l**2.
-19*l**2
Expand -2*z**2 + 3*z**2 - 2*z**2 + (2 - 2 + 2*z)*(-2*z + 0*z + z) + 5 - 5 - z**2 - 2*z**2 + 2*z**2 - 2*z**2 - 337 - 24*z + 171 - 2*z**2 + 168.
-8*z**2 - 24*z + 2
Expand ((p - p + p)*(-2 + 2 + 2) + 2*p + 6*p - p)*(2 - 2 + 25*p**3).
225*p**4
Expand (-n**2 - 2*n**2 + n**2)*(2 + 2*n - 2) - 9*n**3 - 13*n**3 + n**3 + (n + 4 - 4)*(3*n - 3*n + n**2) + (3 - 1 - 4)*(2*n**3 - 4*n**3 + n**3).
-22*n**3
Expand (-u**2 - u**2 + u**2)*(49 - 74 - 292).
317*u**2
Expand (2*y - 2*y + 2*y)*(y - y**3 - y) + 25*y**4 - 3*y**3 + 0*y**3 - 55*y**4.
-32*y**4 - 3*y**3
Expand (33 - r**2 + 3*r**2 + 36)*(3*r + 0*r - 2*r).
2*r**3 + 69*r
Expand (-3*l + 0*l - 4 + 3 + (4*l + 0*l - 3*l)*(3 - 4 + 3)*(-3 - 2 + 2))*(-9*l - 7*l**2 + 9*l).
63*l**3 + 7*l**2
Expand (-43*m + 37*m - 68*m - 93*m)*(3*m**2 + 3*m**2 - 3*m**2).
-501*m**3
Expand (5*r**2 + 2*r**2 - 5*r**2 + (-3*r - 2*r - 3*r)*(2*r + 0 + 0))*(0*r**3 + 2*r**3 + 5*r**3).
-98*r**5
Expand (-3*t**3 + 3*t**3 + t**3)*(-3 + 3 - 2*t) - 105*t**4 - 78*t**4 + 48*t**4 + (-2*t + 5*t - 2*t)*(-2*t**3 + 3*t**3 - 3*t**3).
-139*t**4
Expand (-5 + 5 + b)*(49*b**3 + 148*b**3 - 42*b**3).
155*b**4
Expand (1 - d - 1)*(458*d**2 - 178*d**2 + 592*d**2).
-872*d**3
Expand (y**2 - y**2 - y**2)*(225*y**2 - 333*y**2 - 81*y**2).
189*y**4
Expand (-4*p - 5*p**4 + 4*p)*(3*p - 2*p - 5*p - 2).
20*p**5 + 10*p**4
Expand (-j - j + j)*(-6*j - 2*j + j)*(-21 - 3 - 8).
-224*j**2
Expand (u - 2*u + 3*u)*(0 + u + 0) - 11*u**2 - 5*u**2 + 4*u**2 - u + 6*u**2 + u.
-4*u**2
Expand s**5 - 4*s**5 + 4*s**5 + (-2*s**3 - 2*s**3 + 2*s**3)*(-1 + s**2 + 1 + (s - s + s)*(-s + 4*s - 2*s) - s**2 - s**2 + s**2).
-s**5
Expand (25*d + 194*d - 18*d)*(-4 + 0 + 1).
-603*d
Expand (6 + 2 - 6 + (4 - 5 - 1)*(-1 + 0 - 1))*(2*d**3 - d**3 - 2*d**3).
-6*d**3
Expand (5*z + z - 4*z)*(3*z + 33 - 33)*(-19477 - 240*z + 19477).
-1440*z**3
Expand -3*k**5 + 0*k**2 + k**2 - 4*k**5 + (-5*k**3 + 5*k**3 - k**4)*(2 - 2*k - 2) + k**5 + 2*k**2 - 2*k**2 + (9 + 3 - 20)*(k**5 + 0*k**5 + k**5).
-20*k**5 + k**2
Expand (q**2 + 17 - 17)*(-37 + 15 - 8) - q**2 - q**2 + 3*q**2.
-29*q**2
Expand 4*r + 0*r - 3*r + (0 - 1 + 0)*(0*r - r - r) + 0*r + 0*r + r - 24 + 24 - 15*r + r - 2*r - r + r + 7*r - 4*r.
-9*r
Expand (-1 - 1 + 1)*(-4*v + 3*v - v) + (2 + 0 - 1 + (-4 + 1 + 2)*(1 - 7 + 4) - 3 + 6 - 1)*(25*v + 14*v - 2*v).
187*v
Expand 3343*f - 1723*f - 1690*f + 7 + (-3*f + 5*f - 4*f)*(-1 + 3 - 1).
-72*f + 7
Expand ((18 - 2 - 6)*(0 + 0 - 2*l) + 5*l - 2*l - 2*l)*(-243*l**2 + 118*l**2 + 138*l**2).
-247*l**3
Expand (-5 - 1 + 4)*(2 - 9 + 10 + 5)*(-5*v**3 + 103 - 103).
80*v**3
Expand (16*s**4 - 16*s**4 - 21*s**5)*(3 + 1 - 5) + (-8 + 8 - 3*s)*(-s**4 + 4*s**4 - s**4).
15*s**5
Expand 21 + 13*b - 2*b - 23 + (0*b + b - 5*b)*(3 - 2 + 2)*(-5 + 2 + 1).
35*b - 2
Expand (3 - 2 + 1)*(4 + 3 - 5)*(-3*s - 3*s + 4*s + (-2 + 1 + 2)*(-4*s + 2*s + s) + s - 4*s + 2*s).
-16*s
Expand (0*u + 0*u + 2*u)*(-4 - 4 + 2)*((0 + 2 - 1)*(3 + 3 - 4) + 5 - 1 - 3).
-36*u
Expand (p - 7*p - 3*p + (-6*p + 5*p + 2*p)*(-1 + 2 + 2))*(5*p + 3 - 7*p + 1).
12*p**2 - 24*p
Expand (6*t - t + 0*t)*(t**2 - 2*t**2 - t**2) - 4*t**3 + 3*t**3 - t**3 + 7*t**3 - 15 + 20 + t**3.
-4*t**3 + 5
Expand (-10 + 10 - 17*d)*(-2 + 2 - 3) + (0 + 2 - 1)*(0*d - 2*d + 4*d) + 0*d - 3*d + 5*d.
55*d
Expand (-3621*u + 11*u**2 + 3621*u)*(-13*u + 26*u**2 - 11*u**2 + 15*u).
165*u**4 + 22*u**3
Expand (3*s**2 - 5*s**2 - s**2)*((6 - 1 - 2)*(2 - 2 + 18*s) - s + 4*s - 2*s).
-165*s**3
Expand 6*s**2 + 98*s**5 - 4*s**2 - s**2 + (-3*s**2 + 3*s**2 - 2*s**2)*(-2 + s**3 + 2).
96*s**5 + s**2
Expand (-2 + 4*w + 2 - w + 2*w - 2*w + w - w - w + 0*w - 4*w + 2*w + (-2*w - 4 + 4)*(3 - 2 + 0) - w + w - w + w + 3 - 3)*(7 + 4 - 6)*(16 + 53 - 7).
-620*w
Expand (-c + 2*c - 8*c)*(-10*c**3 - 4*c**3 + 29*c**3)*(-1 - 3*c + 1 + 1).
315*c**5 - 105*c**4
Expand (-5 + 1 + 0)*(-1837 + 1837 + 44*o**2).
-176*o**2
Expand (6*b + 3*b + 17*b)*(-7*b**3 - 9*b**3 + 21*b**3).
130*b**4
Expand (4 - 2 + 0)*(-125*g - 95*g + 89*g) - 6*g - 4*g + 3*g - 2*g + 3*g + 0*g + (-1 - 2 + 1)*(2 - 2 + g) + 0*g - 4*g + 2*g.
-272*g
Expand (-2 + 2 - 3)*(3*x - 6*x - 9*x + (-1 - 1 + 0)*(2*x - 4*x + 3*x)) + 0*x - x + 3*x.
44*x
Expand 1 - 231*o**3 - 16857*o**2 + 16857*o**2 + (-3 + 2*o + 3)*(o**2 + 3*o**2 - 2*o**2) + 2*o**3 - 5*o**3 + o**3 - 5*o**3 + 2*o**3 + o**3.
-231*o**3 + 1
Expand -f**2 + 3*f**2 - f**2 + ((f - f - f)*(-19 + 41 - 20) + f - 2 + 2)*(-3*f - 3*f + 5*f)*(-5 + 4 - 2).
-2*f**2
Expand (-3 - 4 + 5 - 10*o)*(-7 + 8 + 7) + o - 1 + 1 + 2 - 2 - o + (1 + 2*o - 1)*(2 + 1 - 2).
-78*o - 16
Expand (3 - 4 + 3)*(-4 + 3 + 0)*(0 - a + 0)*(-30 + 40 - 27)*(1 - 6 - 1).
204*a
Expand (a + 1 - 1)*(4 - 3 - 2) - 2382 - 2376 + 4756 - 621*a.
-622*a - 2
Expand (28*y**3 + 5*y**3 - 8*y**3)*(2*y**2 - 2*y**2 + 2*y**2).
50*y**5
Expand (1 + 2*j - 1)*(2 - 1 + 1) - j + j - j + (9*j - 4*j + 3*j)*(-7 + 4 + 5).
19*j
Expand (2 + 0 - 1)*(-a - 16 + 16 + 0*a + 0*a - 2*a + (-a - a + 3*a)*(5 - 4 + 6)).
4*a
Expand (47 - 25 + 82)*(-2*q**2 + q**2 + 3*q**2 - 2*q**3).
-208*q**3 + 208*q**2
Expand w**3 + 1 - 1 + (-2*w - 8 + 8)*(0*w*
|
{
"pile_set_name": "DM Mathematics"
}
|
j = 10673 - 74720/7. Sort 0, h, 2/3, j in ascending order.
j, 0, h, 2/3
Let q be -5 + 3 + 21 + -17. Put 1, q, 153, -5, 3 in decreasing order.
153, 3, q, 1, -5
Let l = -3 + 0. Let h = 5550329/63 - 616683/7. Sort h, 3, l in increasing order.
l, h, 3
Let g = -7 - -11. Let f be (-1314)/990 + (-3)/(-5). Let z = -126/143 - f. Put 0.3, g, z in descending order.
g, 0.3, z
Let h = -336 - -690. Let x = -354 + h. Suppose 4*v + 7 = -1. Sort 1, x, -5, v in decreasing order.
1, x, v, -5
Let c = 1 - -3. Let h = 52/3 + -205/12. Let g be (1 + 34/(-24))*4. Sort c, h, g in descending order.
c, h, g
Let b = -15 + 11. Let a = 87.286 + -87.6. Let l = 1.314 + a. Sort 8, b, l in decreasing order.
8, l, b
Let o = 269 + -265. Suppose -5*d + 75 = -4*b, 2*b = -3*d + 3 + 42. Sort -2, 0, d, o.
-2, 0, o, d
Let t be ((-273)/(-14))/((-305)/122 + 1 + 1). Sort -5, 1, 0, t, 4 in decreasing order.
4, 1, 0, -5, t
Let n = 488 + -353. Let s be (-2)/4*(-15)/(n/18). Sort s, 3/5, 0.2 in ascending order.
0.2, 3/5, s
Let u = 21388 + -21385. Let t = 1.1 - 1.2. Put u, -0.21, t in descending order.
u, t, -0.21
Let x = 229/441 + -20/49. Put -2/27, -0.1, 4, x, -1/4 in increasing order.
-1/4, -0.1, -2/27, x, 4
Suppose 161*f + 5*r = 159*f - 39, -f + 4*r = -39. Sort f, 2/41, -4, -0.2 in decreasing order.
f, 2/41, -0.2, -4
Let s be 2 - (-140 + (4 - 0)). Suppose -3*g = 4*g + 994. Let i = s + g. Put i, 0.5, -3, 1 in descending order.
1, 0.5, -3, i
Let j = 0.02 - -0.38. Let q = -22/7 - 17/28. Let t = -173/44 - q. Sort t, -1/7, j in descending order.
j, -1/7, t
Suppose 2*k + 6 = c, 2*c - 1 = 7. Suppose 16*o - 1660 = 404. Let a be 3/(-8) + o/24. Sort a, k, -2 in descending order.
a, k, -2
Let k = 4.15 - 0.15. Let w be (-5)/(75/(-2))*((-8)/8 + -4). Put -1/3, 7, w, k in decreasing order.
7, k, -1/3, w
Let k(t) = 21*t - 40. Let j be k(2). Suppose -3*d + j*d - 52 = 4*s, 3*d = -2*s - 16. Put -2, -5, 0, s in increasing order.
s, -5, -2, 0
Let r(u) = 4*u**3 + 98*u**2 - 54*u - 104. Let f be r(-25). Put f, -2, -223, 0 in descending order.
0, -2, f, -223
Let n be (-5 - (-8 + 3))/(-1). Sort 16, 5, 31, n.
n, 5, 16, 31
Suppose -7*w = -u - 3*w - 20, 12 = 2*u + 5*w. Let l = -45639 - -45642. Put -12, u, l, 0 in descending order.
l, 0, u, -12
Let x be (-36)/(-54) - (-4)/(-6). Suppose -8 = -x*n - 2*n. Let f be 1 - 3/((-6)/(-8)). Put n, f, -6, 1 in descending order.
n, 1, f, -6
Let r = -66 + 120. Let p = 170 - r. Let y = 353/3 - p. Put 0.8, -2, y in increasing order.
-2, 0.8, y
Let o = -5.24 - 71.76. Let l = o + 73.3. Sort l, 0.2, -0.1 in ascending order.
l, -0.1, 0.2
Let g = -389 + 397. Suppose y + 3*y + 32 = -4*u, 0 = -u - 4*y - g. Sort u, -3, 8 in descending order.
8, -3, u
Suppose -58*y + 55*y - 18 = 3*x, -4*y + x - 4 = 0. Sort 1, 4, y, -1 in increasing order.
y, -1, 1, 4
Let p = 32.71 + -32. Let i be (28/(-5) + 4)*(-10)/(-4). Put p, 3, i in descending order.
3, p, i
Let t = -93 + 97. Suppose 5*k = -5*g, -5*g - t - 6 = 3*k. Let n be (-2 + -6 - g)*10/6. Put 4, 2, n in descending order.
4, 2, n
Let s = 29366 - 29370. Put 1.026, 0, -1/4, s in descending order.
1.026, 0, -1/4, s
Let p = -0.0409 - 0.7591. Let i = p - -222.8. Sort 4, 2, i in decreasing order.
i, 4, 2
Let t = 4 + 1. Let a = -113 + 108. Sort t, a, 3, 2.
a, 2, 3, t
Let j(t) = -3*t**2 - t - 1. Let v be j(-1). Let g = -5899 - -5877. Sort g, -1, v in decreasing order.
-1, v, g
Let k = -6018 - -6019. Sort 64, 0.3, -4, k, -3.
-4, -3, 0.3, k, 64
Suppose 3 + 2 = v. Suppose -32 = -29*p + 84. Let i(j) = 11*j - 43. Let y be i(p). Sort y, -3, v, 3 in decreasing order.
v, 3, y, -3
Let k be (2 + -2 + -5 - -5)/2. Suppose 26*d + 4 - 82 = k. Sort 65, d, -4 in descending order.
65, d, -4
Let r = 167.1 + -167. Let y = -0.3 - r. Sort 0.4, y, -1/9, -5.
-5, y, -1/9, 0.4
Let r = 2012 - 2015. Put 0.846, -0.4, r in descending order.
0.846, -0.4, r
Let d be (3/(-8 - 4))/(-2). Suppose 2*r - 12 = -0*r. Let s = r - 17/3. Sort s, d, 3 in descending order.
3, s, d
Let c = -18083 - -18084. Sort 0.4, c, -0.5, 4/5.
-0.5, 0.4, 4/5, c
Let d be (3 + -1)/((-13)/(1326/187)). Sort -2, d, -0.4, 3/17, 1 in increasing order.
-2, d, -0.4, 3/17, 1
Let d be (-204)/(-26) + 5/((-1105)/(-34)). Let k be 21/(-7)*26/6. Let h = 18 + k. Put d, h, -2 in ascending order.
-2, h, d
Suppose -2*z = -3*r + 44, -41 = 2*z - 4*r + 7. Let g(q) = 3*q**2 + 46*q - 19. Let v be g(z). Sort v, -5, 5 in increasing order.
-5, 5, v
Let m be (3 + -2)/((-2)/4). Let z(i) = 33*i - 44. Let k be 3*(-2)/(-36) + (-175)/(-210). Let q be z(k). Sort m, q, 1 in descending order.
1, m, q
Let h = 28251 - 28255. Let p = -0.7 + 0.2. Let r = -1 - p. Put h, -2/11, 1, r in descending order.
1, -2/11, r, h
Suppose -27 = -44*t - 27. Sort 266, -2, t.
-2, t, 266
Let r = 22 - 6. Let i = -21 + r. Let g = -3962 + 3960. Sort 4, i, 0, g in decreasing order.
4, 0, g, i
Let a be (-30)/3 - (-73 + 58). Sort -3/95, -0.4, a in ascending order.
-0.4, -3/95, a
Let s be ((-16)/(-14)*(-1687)/(-1446))/(4/(-6)). Put s, 0, 13, 7, 1 in ascending order.
s, 0, 1, 7, 13
Suppose -i = -3*c - 8, 5*i + 8 = -5*c + 28. Let n be -1*((i - 1) + -8) + -3. Sort -6, n, 4, -4 in increasing order.
-6, -4, n, 4
Let c = 2 - 0. Let z = 6 - c. Let w = 0.24871 + -0.54871. Put w, 0.2, z in decreasing order.
z, 0.2, w
Let s = -1009.42 + 990. Let l = -0.42 - s. Let i = l + -19.1. Put i, 2, -7 in ascending order.
-7, i, 2
Let v = -2512 - -2478. Sort 1, v, -2, 2 in descending order.
2, 1, -2, v
Let m be 4/7 + ((-5)/(-2))/(861/(-1230)). Sort 13, m, 3, 5, -4 in increasing order.
-4, m, 3, 5, 13
Let t = -780 + 777. Sort t, 51, -14 in increasing order.
-14, t, 51
Suppose -2*s = -3*x + 4*x + 17, -5*x = -4*s - 27. Let w be (-205)/(-40) - 2/16. Suppose 0 = -10*f - w - 5. Sort s, f, -5.
s, -5, f
Let q = 4.41621 + -0.41621. Put 2/5, 0.02, 0.16, q, -0.1 in decreasing order.
q, 2/5, 0.16, 0.02, -0.1
Let i(f) = -f**2 + 7*f - 5. Let r be i(7). Let d(a) = -a**2 + 6*a + 2. Let x be d(6). Suppose -x*v = -5*l - 4, -8 = 4*v + 4. Put l, -1, r in ascending order.
r, l, -1
Let a be 4*2/(-2)*-1 + -6. Let d be 14/49 - (a - (2 + -4)). Sort 29, d, 0.1 in ascending order.
0.1, d, 29
Let p be 315/36*4 + 2/(-2). Suppose p = 4*i - 3*m - 29, m = 3. Sort -4, i, 0 in decreasing order.
i, 0, -4
Let m(y) = 3*y - 20. Let p be m(6). Let u be 3 + 4 + -9 + 5. Sort 4, u, p.
p, u, 4
Let v be (6264/(-15))/(-18) - (-4)/5. Suppose -19*g = -7*g. Sort -2, g, 3, v in descending order.
v, 3, g, -2
Suppose 373 = -6*r + 85. Let s = r - -35. Let i = 15 + s. Sort -2, 3, i.
-2, i, 3
Let y = 94 - 134. Let h = 159/4 + y. Let p = -4930 - -4933. Sort h, -2/7, p in increasing order.
-2/7, h, p
Let d = 6.51 + 0.49. Let r = -33728/5 - -6745. Put d, r, 1/5 in decreasing order.
d, 1/5, r
Let u(g) = -2*g. Let k be u(1). Suppose -3*l + 258 - 63 = 0. Suppose 25 - l = 4*y. Put k, -5, 3, y in decreasing order.
3, k, -5, y
Suppose 798 = 130*n + 358*n - 1642. Let t be 2/5 - 12/(-20). Let z = -1 + t. Put z, -2, -0.1, n in decreasing order.
n, z, -0.1, -2
Let q = -769.4 - -882. Let s = q - 113. Put s, -5, -0.2 in decreasing order.
-0.2, s, -5
Let h = 15.9 - 15. Let v = 0.02691 - 0.42691. Put v, h, 1, 5 in ascending order.
v, h, 1, 5
Let j be 0 - 10*((-15)/6 - -2). Suppose j = k + 2*r + 2*r, k - 4*r = 5. Sort -1, k, 2.
-1, 2, k
Suppose -28*c + 54 = -25*c. Let q be (2 + 45 + 1)*9/c. Let t be (1*-4)/(q/(-6)). Put -4, 0, t in ascending order.
-4, 0, t
Let h be 16/(-14)*19740/(-752). Put -2, -27, h in descending order.
h, -2, -27
Suppose -2*n + 2 = 3*r, 3*n - 4 - 2 = -3*r. Suppose 8*d - n = 10*d. Let y = -161.6 + 162. Sort -13, d, y in increasing order.
-13, d, y
Let u = -13/12 - -23/36. Put u, 14, -5, 4 in descending order.
14, 4, u, -5
Suppose -3 + 11 = 4*o. Let p = 32 - 20. Suppose -5*k + p = -k. Sort k, -3, -18, o.
-18, -3, o, k
Let f(n) = n**2 - 93*n - 3. Let a be f(0). Put a, 15, -5, -1 in decreasing order.
15, -1, a, -5
Let p = 21649 + -21648. Sort -3, p, -0.11, -1/6, 0.3 in increasing order.
-3, -1/6, -0.11, 0.3, p
Let p = 2 + 0.5. Let r = 3.3 - p. Let c = 973 + -970. Sort c, 2, r, -3 in decreasing order.
c, 2, r, -3
Let w be (-5)/((-10)/156) + (2 - 6). Put w, 9, 1 in increasing order.
1, 9, w
Let k = 8 + -8.2. Let g = 231 - 225.8. Let x = k + g. Put x, -2/9, -0.1 in increasing order.
-2/9, -0.1, x
Let f be (-1 - -5) + (-1 - (1 - 3) - 3). Sort -22, f, 3, -2
|
{
"pile_set_name": "DM Mathematics"
}
|
y + 1)/3
Determine q, given that 4 - 11*q**4 + 37*q**3 + 39*q + 28*q**4 + 3*q**5 - 70*q + 39*q**2 + 51*q = 0.
-2, -1, -2/3
Let d(m) be the first derivative of -6*m - 7 + 1/2*m**3 + 3/16*m**4 - 3/2*m**2. Factor d(w).
3*(w - 2)*(w + 2)**2/4
Let p(f) be the second derivative of f**6/5 - 13*f**5/10 + 13*f**4/6 - f**3 - 4*f. Factor p(d).
2*d*(d - 3)*(d - 1)*(3*d - 1)
Solve 4/5*q + 8/5 - 4/5*q**3 + 4/5*q**4 - 12/5*q**2 = 0.
-1, 1, 2
Let b(f) be the third derivative of f**6/360 - f**5/20 + 3*f**4/8 - 3*f**3/2 - 10*f**2. Factor b(v).
(v - 3)**3/3
Let m(a) = a + 1. Let g be m(1). Let r(v) be the first derivative of -1/3*v**g - 1/3*v**3 - 3 - 1/12*v**4 + 0*v. Let r(q) = 0. What is q?
-2, -1, 0
Factor -1 + 1/5*y**2 + 4/5*y.
(y - 1)*(y + 5)/5
Let r = 5 + 2. Suppose -i**4 - 14*i**3 - 3*i**2 + 4*i**3 - i + r*i**3 = 0. What is i?
-1, 0
Let o(v) be the third derivative of -2197*v**6/660 - 169*v**5/55 - 13*v**4/11 - 8*v**3/33 + 3*v**2. Factor o(d).
-2*(13*d + 2)**3/11
Let v(b) be the second derivative of 21*b**5/100 - 43*b**4/60 + 2*b**2/5 + 2*b. Factor v(c).
(c - 2)*(3*c - 1)*(7*c + 2)/5
Let m(a) = -a**3 + a - 1. Let p(b) = -3*b**2 + 3*b - 3. Let r be 2/(-10) - 6/(-5). Let h(o) = r*p(o) - 3*m(o). Determine u so that h(u) = 0.
0, 1
Let g = -13 + 16. Let o be 4/12 + 1/3. Factor -2/9*z**4 + 0 + 2/3*z**g + 2/9*z - o*z**2.
-2*z*(z - 1)**3/9
Suppose 5*h - 16 = 2*p, p + 0*h - 18 = -4*h. Let d(v) be the first derivative of -14/9*v**3 - 4/3*v - 2 + 3*v**p. Factor d(c).
-2*(c - 1)*(7*c - 2)/3
Let u(y) be the first derivative of y**5/10 + 3*y**4/8 + y**3/2 + y**2/4 - 23. Factor u(b).
b*(b + 1)**3/2
Let d(h) = 2*h**3 + 4*h**2 - 5*h - 4. Let x(p) = 3*p**3 + 7*p**2 - 8*p - 7. Let n(z) = -5*d(z) + 3*x(z). Solve n(t) = 0.
-1, 1
Let j(f) be the second derivative of f**6/105 + 3*f**5/70 + f**4/42 - f**3/7 - 2*f**2/7 + 14*f. Find r, given that j(r) = 0.
-2, -1, 1
Let i(l) be the third derivative of l**6/300 + l**5/50 - 4*l**3/15 + 11*l**2. Factor i(f).
2*(f - 1)*(f + 2)**2/5
Let x(p) be the first derivative of -p**3/9 + p/3 - 1. Find q such that x(q) = 0.
-1, 1
Let o(v) = -v**2 - v + 1. Let x(a) = 2*a**2 - 6*a + 9. Let k(j) = o(j) + x(j). Determine f, given that k(f) = 0.
2, 5
Let k(d) = -d**2 + 15*d + 4. Let r be k(15). Let j(c) be the first derivative of 0*c**3 + 0*c + 0*c**r + 0*c**2 + 1/21*c**6 - 1 - 2/35*c**5. Factor j(u).
2*u**4*(u - 1)/7
Let u(z) be the first derivative of z**6/100 - z**5/30 + z**4/30 + 4*z**2 + 6. Let a(t) be the second derivative of u(t). Determine k, given that a(k) = 0.
0, 2/3, 1
Factor -5*s**3 + 157 - 225*s + 2*s**3 + 0*s**3 + 45*s**2 + 218.
-3*(s - 5)**3
Let h(a) = -a - 1. Let t(g) = -4*g**3 + 4*g**2 - 3*g - 3. Let p(f) = 3*h(f) - t(f). Find v such that p(v) = 0.
0, 1
Let g(v) = 2*v**3 + 17*v**2 - 3*v. Let a(k) = -5*k**3 - 50*k**2 + 8*k. Let b(u) = 3*a(u) + 8*g(u). Solve b(r) = 0 for r.
0, 14
Let y(n) be the first derivative of n**4 - 10*n**2 + 4*n**3 - 4/5*n**5 + 8*n + 7. Factor y(a).
-4*(a - 1)**3*(a + 2)
Let -y**4 + y**2 - 1/3*y**5 + 1/3*y**3 + 0*y + 0 = 0. Calculate y.
-3, -1, 0, 1
Let l be ((-6)/5)/((-2)/5). Solve -4*o**l - 4*o**2 - 5*o**5 - 5*o**3 + o - 13*o**4 + o + 5*o**2 = 0.
-1, 0, 2/5
Suppose -22*x = 40*x - 124. Factor -4/9*n**3 + 10/9*n**x - 4/9*n + 0.
-2*n*(n - 2)*(2*n - 1)/9
Factor 2/5*o**4 - 8/5*o + 16/5 + 2/5*o**3 - 12/5*o**2.
2*(o - 2)*(o - 1)*(o + 2)**2/5
Let k(j) be the second derivative of -j**6/120 + j**4/8 + j**3/3 + 2*j**2 - 6*j. Let i(h) be the first derivative of k(h). Determine p, given that i(p) = 0.
-1, 2
Let v be (-10)/15 - 64/(-6). Let q be ((-3)/v)/((-1)/5). What is t in -4*t**4 + q*t**5 + 0 + 0*t**2 - 1/2*t + 3*t**3 = 0?
-1/3, 0, 1
Let o(y) = -y**2 + 7*y. Let z(w) = w**2 - 8*w. Let t(v) = v**3 - 5*v**2 + v - 4. Let d be t(5). Let s be d*6*(-3 - -2). Let m(q) = s*z(q) - 7*o(q). Factor m(x).
x*(x - 1)
Let u(l) be the second derivative of l**6/120 + l**5/80 - l**4/48 - l**3/24 - 4*l. Solve u(t) = 0 for t.
-1, 0, 1
Factor 12*f**2 - 4*f + 18*f**3 - 22*f**3 - 5*f + f.
-4*f*(f - 2)*(f - 1)
Let x(s) be the third derivative of s**6/540 + s**5/18 + 25*s**4/36 + 125*s**3/27 + s**2. Let x(r) = 0. What is r?
-5
Let z be 6/(-9) + (-5)/(-5). Let f(k) be the first derivative of 2/9*k**3 - z*k**2 - 1 + 0*k. Find q such that f(q) = 0.
0, 1
Factor -48/13*r**3 - 2/13*r + 0 - 20/13*r**2.
-2*r*(4*r + 1)*(6*r + 1)/13
Suppose 0 = -488*x + 485*x + 9. Solve -8/11*v - 2/11*v**4 + 0 + 0*v**2 + 6/11*v**x = 0.
-1, 0, 2
Let i = 2158/7 - 308. Factor i*s**2 + 4/7 + 6/7*s.
2*(s + 1)*(s + 2)/7
Let v = 41 + -41. Let g = 64 + -190/3. Solve v + 0*n**2 - 2/3*n**4 + 0*n - g*n**3 = 0 for n.
-1, 0
Let b(d) = d**3 + 4*d**2 - 10*d + 12. Let l be b(-6). Let k(o) be the first derivative of 0*o**3 + 0*o - 1/7*o**4 - 2 + l*o**2 - 2/5*o**5. Factor k(n).
-2*n**3*(7*n + 2)/7
Let p(h) be the first derivative of -h**4/4 + h**3/3 - 2. Let v(g) = -8*g**3 + 9*g**2 - g. Let q(o) = -14*p(o) + 2*v(o). Find l such that q(l) = 0.
0, 1
Let o(p) be the first derivative of -2*p**5/35 + 5*p**4/14 - 2*p**3/3 + 3*p**2/7 - 6. Factor o(t).
-2*t*(t - 3)*(t - 1)**2/7
Let c(r) be the third derivative of r**5/60 + r**4/8 + r**3/3 + 25*r**2. Solve c(q) = 0 for q.
-2, -1
Let i(b) = 10 + 17*b**3 + 4*b**2 - 31*b - 15 - b**4 + b**2 - 20. Let m(t) = t**4 - 8*t**3 - 2*t**2 + 16*t + 13. Let k(q) = -4*i(q) - 7*m(q). Factor k(u).
-3*(u - 1)*(u + 1)**2*(u + 3)
Suppose 5*s + 36 = 4*r, 2*s = -4*r - 2*s. Suppose -2*i + r*y = 8, -5 = 5*i - 5*y - 0*y. Factor u**3 + 2*u**2 + 3*u**3 - i*u**3.
2*u**2*(u + 1)
Let b(x) be the second derivative of -x**4/4 + x**3 - 3*x**2/2 + 2*x. Factor b(j).
-3*(j - 1)**2
Let b(d) be the third derivative of 0*d**4 - 1/105*d**7 - 1/168*d**8 + 1/30*d**5 + 1/60*d**6 + 0 - d**2 + 0*d + 0*d**3. Factor b(u).
-2*u**2*(u - 1)*(u + 1)**2
Solve -1/5*u**2 - 1/5*u + 2/5 = 0 for u.
-2, 1
Let v = -3 - -7. Suppose 3*y - 2*y - 2*n = 10, 2*y = -2*n - v. Solve -4/3*b + 1/3*b**y + 4/3 = 0 for b.
2
Let y(s) be the third derivative of s**7/525 + s**6/450 + 14*s**2. Let y(i) = 0. Calculate i.
-2/3, 0
Let b(f) be the second derivative of -f**5/40 + f**4/48 + f**3/12 - f**2/8 + 22*f. Determine q, given that b(q) = 0.
-1, 1/2, 1
Let h(r) be the third derivative of 0*r + 1/60*r**5 - r**2 + 0 + 1/6*r**4 + 1/2*r**3. Determine g, given that h(g) = 0.
-3, -1
Let g be 1 + -1 - 0 - (37 - 40). Factor g*v**2 + 15/4*v + 3/4.
3*(v + 1)*(4*v + 1)/4
Let o(q) be the second derivative of -q**6/120 + q**5/16 - q**4/8 - q**3/6 + q**2 - 14*q. Factor o(i).
-(i - 2)**3*(i + 1)/4
Suppose 5*n - 4*c + 0*c = 3, 3*c = -n + 12. Solve -2*x + n*x**2 + 4*x + 3*x**2 + 1 - 5*x**2 = 0 for x.
-1
Let i(l) be the first derivative of l**5/20 + l**4/4 + l**2 - 1. Let g(n) be the second derivative of i(n). Determine y, given that g(y) = 0.
-2, 0
Let v = -118 - -118. Let a(f) be the third derivative of 0*f + 0*f**3 + 1/40*f**4 + 1/100*f**5 + v + 3*f**2. Factor a(w).
3*w*(w + 1)/5
Let w(v) be the third derivative of 2*v**7/315 + v**6/90 - v**5/45 - v**4/18 - 12*v**2. Factor w(h).
4*h*(h - 1)*(h + 1)**2/3
Suppose -43 = -2*i - o, -i + 11 = 2*o - 5*o. Let z be ((-2)/i)/((-4)/32). Factor z + 2/5*t**2 - 6/5*t.
2*(t - 2)*(t - 1)/5
Let n be (-14)/2*(-6)/7. Let u(j) be the second derivative of 3/10*j**5 + 0 - 2*j + 1/5*j**n + 0*j**3 + 0*j**2 + 1/6*j**4 + 1/21*j**7. Factor u(d).
2*d**2*(d + 1)**3
Factor 28 - 2*k - 30*k - 44*k**2 - 43*k**2 + 91*k**2.
4*(k - 7)*(k - 1)
Let a be -4 + 1 - (76/(-12) + 3). Let h(z) be the second derivative of a*z**4 + z**2 - 3/2*z**3 + 0 - 3*z. Suppose h(m) = 0. What is m?
1/4, 2
Suppose 6 = 4*t - 5*y, 0*t = -2*t - 3*y + 14. Factor -7*f**t + 11/2*f - 1 - 12*f**2 + 13*f**3 + 3/2*f**5.
(f - 1)**4*(3*f - 2)/2
Let j = -59 + 64. Let l(z) be the third derivative of 1/6*z**3 - z**2 + 1/60*z**j - 1/12*z**4 + 0*z + 0. Suppose l(y) = 0. What is y?
1
Let k(a) be the first derivative of a**3/3 + 2*a**2 + 4*a + 12. Suppose k(z) = 0. What is z?
-2
Let i(y) be the second derivative of -2*y**6/15 - y**5/5 + y**4 + 2*y**3/3 - 4*y**2 - 9*y. Factor i(z).
-4*(z - 1)**2*(z + 1)*(z + 2)
Let a = 6/19 + 110/133. Suppose 0 = -6*j + 11*j. What is d in -2/7*d**3 + 8/7*d**2 - a*d + j = 0?
0, 2
Factor -136 - 10*l**3 - 40*l**2 + 216 + 5*l**4 + 10*l**3.
5*(l - 2)**2*(l + 2)**2
Let u(j) be the second derivative of j**7/3780 + j**6/540 + j**5/180 +
|
{
"pile_set_name": "DM Mathematics"
}
|
8 + 6 - 11) - (-1 - -5)
-3
What is the value of -8 + -3 + (-1 - -1) + -51 + 51?
-11
What is the value of (43 - 1) + -23 + -26?
-7
What is 13 + -42 + (6 - -3) + 13?
-7
Evaluate (18 - 2) + -11 + -7 + (-2 - -14).
10
What is 5 - (4 + (12 - 7) - 3) - -5?
4
What is the value of (5 + 7 - 17) + 8?
3
What is the value of (8 - -11) + -21 - -6?
4
What is the value of (10 - (14 - 6)) + 6 + -15?
-7
Evaluate 15 + -3 + -4 - (-9 + 9).
8
What is the value of -15 + -27 + (58 - 18)?
-2
Evaluate (-8 - -16) + (0 - (4 + -1)) - 13.
-8
0 + (-9 - (9 + 1 + 3 - 3))
-19
What is the value of 274 - 302 - (-10 + 1)?
-19
What is the value of 26 + -47 + (5 - (16 + -7))?
-25
Calculate -14 + -20 - (-9 - 2) - -12.
-11
Calculate -2 - 6 - (-17 + (1 - -16)).
-8
Calculate (11 - 13) + 13 + 1.
12
(-16 - (16 - (25 - -10))) + (1 - -9)
13
What is (-212 - -209) + (2 - (3 + 0) - -25)?
21
What is the value of 1 + 1 - (-15 + 18) - (16 + -2)?
-15
What is 7 + 4 - (-8 + 4 - -7)?
8
Calculate 20 - (8 + -25 + 33 + 18).
-14
Calculate 14 - 16 - (0 - 11).
9
What is 38 + 2 + -22 + (25 - 2) + -13?
28
Evaluate -10 - (-46 + 1 + 15 + -2).
22
What is (-2 - (-5 - (9 - 15))) + 13?
10
What is -1 + -18 - (21 + -4 - 25)?
-11
Calculate -86 - -80 - (1 - (0 + 1) - -1).
-7
What is 22 - (-8 + 13) - (0 - 2 - -10)?
9
Calculate -2 + (1 + 3 - -2) + -3.
1
What is 5 - (49 - (0 - -8)) - -3?
-33
-6 - ((-16 - 9) + 9)
10
What is the value of (-3 - -11) + (-9 + 15 - 6) + -26?
-18
Calculate (-1 - 1) + 23 + (-27 - 20 - -26).
0
What is the value of 15 + -1 - (-81 + 77)?
18
What is (-53 + 23 - 2) + 18?
-14
What is the value of 56 + -38 - (4 + (5 + -10 - -6))?
13
Evaluate 1 + -3 - 16 - (-4 + 5 + -1).
-18
Calculate 21 - (-24 + 47) - (2 + 5 + -2).
-7
Calculate -20 + -14 + (-9 - -43 - 4).
-4
Evaluate -23 - (-9 - (42 + -44 + (-4 - 2))).
-22
Calculate 0 - -8 - (14 - (-22 + 56)).
28
Evaluate 4 + (-20 - -27 - 8).
3
What is the value of 1 + (-11 - -15) - (9 + 0)?
-4
What is 193 - 203 - (-6 - 0)?
-4
14 - (-4 + -2 - -8 - -1)
11
Evaluate 1 + 13 - (50 - (87 - 79)).
-28
38 + (18 - (36 - -12))
8
Calculate -2 + (14 - 0) - (26 - 20).
6
-36 - (-99 + (42 - 11))
32
Calculate -5 + 6 - 5 - -1 - (10 - 19).
6
What is the value of -18 + 5 + 12 + 12?
11
What is (9 - (15 + (-7 - 5))) + -4?
2
Calculate 5 + (-1 - (-8 + 6 + 6)).
0
What is the value of (30 + -6 - 17) + 6?
13
Calculate 6 + (-1 - (-4 - (1 - -10))).
20
What is 4 - (17 + -10 + (0 - 3))?
0
Calculate -4 + (-40 - -30) + -6.
-20
Calculate (-121 - -121) + 4 + 2.
6
Evaluate -5 + -18 + 19 + 3.
-1
Calculate -1 + 9 + -1 + 3.
10
(-21 + 16 - (2 + -1)) + -2 + 5
-3
Calculate (-23 - 2) + 5 + -3 - -7.
-16
What is -13 + 1 + (-608 - -612)?
-8
Evaluate (-44 + 13 - -28) + (1 - (-14 + 1)).
11
Evaluate 21 - (50 - (34 - 22)).
-17
What is 42 + -36 - (-2 - (-2 + 2) - -11)?
-3
Calculate 19 - (-15 + 18 + 6).
10
What is (6 - (3 + -7 - 6)) + (-1 - -2)?
17
Evaluate (31 + 16 - 5) + (-9 - 1).
32
What is the value of 3 + (8 - 17 - -10)?
4
Evaluate 37 - (34 - (41 + -29)).
15
What is the value of -1 + 18 + -14 + -36?
-33
What is the value of -72 + 99 + -39 + -18?
-30
What is the value of -242 + 250 - (1 - -15)?
-8
Calculate 25 - (70 + -33 + 17).
-29
Evaluate -4 - (13 + -23 + 22).
-16
Evaluate 12 + (10 - (59 - 28)).
-9
Calculate (-902 - -907) + (-1 - (0 - -1)).
3
5 - -10 - (-254 + 291)
-22
Evaluate -18 + 3 - -8 - -12 - -1.
6
Evaluate (-4 - -14 - 5) + -4 + 5.
6
Evaluate -8 + 8 + -17 + 22.
5
What is 9 - 10 - -8 - (16 - -4)?
-13
Evaluate (1 - 20) + (239 - 213).
7
Evaluate 2 + 0 + 97 + -110.
-11
Evaluate (-4 - (-8 - -5)) + (-1 - -8) - 7.
-1
What is -11 + (-42 - (-33 + 4))?
-24
Calculate 31 + (-16 - -6) + (-5 - 0) + 4.
20
Evaluate -1 + (-20 - (-39 - -20)) + 2 + -2.
-2
What is 1 - -32 - (6 - -38 - 30)?
19
Calculate 1 - 1 - (-8 + 2 + 40 + -29).
-5
What is the value of -17 - (-29 + 8) - (4 - (4 - 13))?
-9
Evaluate (-1 + 3 - -3) + -21 + (51 - 36).
-1
What is the value of -36 - -7 - -34 - (-1 - 2)?
8
What is 12 + (-7 - -2) + 1 - 3?
5
What is (-14 - -11) + -10 + -7 + -9?
-29
Evaluate (11 - (16 + -3)) + 2.
0
Calculate -12 - (-6 + 1 - (3 + (-18 - -11))).
-11
-3 + 1 + (-10 - (1 + -5) - -9)
1
What is the value of (3 - (-2 + 23)) + (-40 - -25 - -9)?
-24
-11 + (1 + -14 - -10) + 46
32
-28 + (-1 - -1) + -5 + 15
-18
10 + -6 + -7 + 9 - 17
-11
What is -15 - (-14 - -6) - (2 + -15)?
6
What is the value of (-11 - 0) + (-347 - -341)?
-17
What is the value of 5 + (-3 - -7) + -1 - (-110 - -108)?
10
8 - 2 - -7 - (17 + 0)
-4
9 + (1 - 2) + -3 + -5
0
What is the value of 20 + (7 - 19) + -2 + -7 + 3?
2
Calculate -16 + (-5 - 0) + 12 + -6 + 4.
-11
What is the value of -3 - (-17 + 10) - -17?
21
Evaluate -33 - ((-24 - -22) + 6 + -7).
-30
Calculate -13 + (-2 + 0 + 1 - (77 - 84)).
-7
0 + (-3 - -4) - (-10 - (2 - 3))
10
What is the value of (1 + 8 - 12) + -2 + -10?
-15
What is (8 + 0 - 7) + -2 + -3?
-4
Calculate (-282 - -284) + (1 - (-2 - -12)) + 19.
12
6 - (-24 + 15 + 14 + (-2 - 0))
3
9 + -3 - -1 - (28 - (-38 + 83))
24
Calculate 18 + -65 + (2 + -1 - -11).
-35
6 + (-9 - 1) + 6 + 1 - 4
-1
What is -8 - (-4 + 4 + 2 + -1 + 8)?
-17
What is 70 + -69 - (7 + 3)?
-9
Evaluate 1 + -9 + 3 + -1 + (-758 - -754).
-10
Calculate -3 - (20 + -28 - (-1 + -4)).
0
What is (45 + -47 - 46) + 15?
-33
9 + (13 - 1 - 10 - -6)
17
(5 - (18 - 10 - -5)) + 12
4
What is the value of -27 + (22 - 4) + -9 + 7 - -4?
-7
Calculate 7 + (9 + 6 - 16).
6
-36 - (5 - 24) - 12 - 4
-33
Evaluate -7 - (-22 - (-13 - -11 - 7)).
6
Calculate (-5 - 1) + (5 - (6 + 2) - -11).
2
What is -4 + 2 - (-15 + (7 - -7)) - 8?
-9
Evaluate -1 - -2 - -1 - 1 - (-121 - -114).
8
Calculate -11 - -10 - 6 - -8.
1
Evaluate 9 - (-5 - 2 - -10).
6
What is ((10 - 8) + -7 - -2) + (-4 - -9)?
2
Evaluate 3 - (16 - 28 - -23).
-8
Calculate (-5 - (-4 - (6 + -25))) + 7.
-13
Calculate 1 - ((5 - 3) + -4 - -6) - 6.
-9
Evaluate -46 - (-32 + -13 - -4).
-5
Calculate (-68 - -37) + 28 + -1 + 12.
8
5 + 5 - ((17 - 2) + -8)
3
What is 7 - (10 + -1 + -6 - -7)?
-3
Evaluate -10 - (-49 + -17 + 26).
30
What is (53 - 2) + -45 + 14 + -3?
17
Calculate -6 + 3 - -6 - (1 - 24 - -13).
13
What is (-9 - (-9 + 12 + -5)) + 7 - 1?
-1
(-2 + 5 - 0 - -2) + -4
1
What is the value of 1 - 8 - (4 - 7) - (1 + 11)?
-16
What is 4 + -34 + 2 + 10?
-18
What is -21 + 2 + 1 + 33?
15
-10 - (-20 - -6 - -1) - -4
7
Calculate (0 - (7 - 10)) + 10 + -23.
-10
What is the value of 42 - (83 + -58) - (7 + (-1 - 0))?
11
What is 23 + (9 + -2 + -1 - (-23 + 34))?
18
What is the value of 19 + (28 - 36 - 17)?
-6
Evaluate -34 + 28 + -15 + -4.
-25
What is 5 + 1 + (-16 - -26) + -4 + -4?
8
Evaluate (0 - 14 - 3) + 0 + 1 + -1.
-17
-27 - ((20 - 53) + 30)
-24
What is (2 - -4) + -13 + -1 + (-5 - -1)?
-12
Calculate -2 + -7 + -18 + (17 - 9).
-19
Calculate -48 + 40 + (-1 - (-10 + 5)).
-4
What is the value of 1 - 3 - (20 - -18 - 62)?
22
-4 + -1 + (-16 - -2 - (162 + -176))
-5
(-8 - -4) + -36 + (25 - 8)
-23
Calculate -44 + 25 - (-4 - 12).
-3
What is the value of 16 + -13 - 21 - 7?
-25
Evaluate (-31 - -48 - 5) + -41.
-29
(-28 - -1 - -5) + (-2 + 13 - 2)
-13
-1 + 25 - (214 - 205)
15
What is the value of -5 - ((4 + 0 - -5) + -1 - 11)?
-2
What is the value of 12 - (-1 + -1 + 4) - (-9 + 5)?
14
What is the value of (-1 - 4) + 3 + 2?
0
Calculate (1 + -6 - (-3 + -1 + 0)) + -11.
-12
What is (5 - 2) + 2 - (7 + -4 + -11)?
13
Evaluate 7 - (-6 + (-6 - -12)).
7
What is the value of (19 - 3) + (-14 - 20)?
-18
What is (4 - 21) + (-16 - -4 - -1) + 15?
-13
Calculate (7 - 14) + 4 + 20 + -14.
3
What is the value of -1 + (-5 - (-10 + 12)) + (1 - -7)?
0
What is the value of (3 - 1) + -19 + 31 + -8?
6
Calculate 12 - 14 - (-5 - -3 - 1).
1
Evaluate -2 + 13 + 5 + -4 + -4.
8
What is the value of -44 - (-27 - 5) - (3 + 0 + 6)?
-21
Calculate (4 - 0 - -1) + (843 - 833).
15
Evaluate -34 + -1 + -265 + 326.
26
What is 0 + 5 + 7 - 20 - 2?
-10
Evaluate -13 + 30 + -10 + (-12 - -12).
7
Evaluate 3 - (17 - (0 + 20)).
6
What is the value of -6 - (25 + -36 + 3)?
2
12 + 2 - (0 - -2) - (-304 + 306)
10
(2 - -2) + (-31 - -8 - -15)
-4
Calculate -14 + (8 - (8 - 15 - -9)).
-8
Calculate 1 - (-1 + (-9 + -1 - (10 - 12))).
10
What is -36 + (17 - (-47 - -37))?
-9
Calculate -28 + (36 - 1) - (-5 - -1).
11
What is (-37 - -31) + 12 + -1?
5
(15 - -1) + 204 + -201
19
Calculate -3 + -8 + 4 - -15 - (-38 - -33).
13
What is the value of -39 + 28 + -22 + 21?
-12
What is (2 - (9 - (-11 - -11)))
|
{
"pile_set_name": "DM Mathematics"
}
|
15, 136, 157, 178?
199
What is next in 215, 219, 227, 239, 255, 275, 299?
327
What is the next term in -80, -67, -54?
-41
What is next in 7, -21, -99, -251, -501, -873, -1391, -2079?
-2961
What is the next term in -928, -932, -936, -940, -944, -948?
-952
What is the next term in -7, -2, 5, 14, 25?
38
What is next in 3, 214, 575, 1092, 1771?
2618
What is next in 49, 141, 285, 487, 753?
1089
What is the next term in -1062, -1064, -1066, -1068?
-1070
What is next in -415, -831, -1247, -1663?
-2079
What is the next term in -36, -159, -284, -411, -540?
-671
What is the next term in 7109, 7110, 7111, 7112, 7113?
7114
What is next in 141, 123, 105, 87, 69, 51?
33
What is next in 0, -12, -38, -84, -156, -260, -402?
-588
What is next in 466, 933, 1400, 1867, 2334, 2801?
3268
What is the next term in 218, 392, 560, 728, 902, 1088, 1292?
1520
What comes next: 75, 150, 223, 294, 363, 430, 495?
558
What comes next: 8, 28, 60, 104, 160?
228
What comes next: -188, -328, -454, -560, -640, -688, -698?
-664
What is next in 1, 11, 25, 43?
65
What comes next: -77, -71, -63, -53?
-41
What is next in 46, 111, 184, 265, 354?
451
What is next in -1432, -1433, -1422, -1393, -1340, -1257, -1138, -977?
-768
What is next in -51, -105, -159, -213, -267?
-321
What is next in 67, 132, 197, 262?
327
What comes next: 20, 13, -4, -31, -68, -115, -172?
-239
What is next in 56, 100, 144, 188, 232?
276
What comes next: -3093, -3091, -3089, -3087?
-3085
What is the next term in -100, -195, -286, -373, -456, -535?
-610
What is next in 11, 23, 39, 59, 83, 111, 143?
179
What is the next term in -63, -227, -509, -915, -1451, -2123, -2937, -3899?
-5015
What is the next term in 8, -2, -34, -100, -212, -382, -622, -944?
-1360
What comes next: 136, 128, 108, 70, 8, -84, -212, -382?
-600
What comes next: 32, 172, 406, 734, 1156, 1672, 2282?
2986
What comes next: 143, 145, 147, 149, 151?
153
What comes next: -34, -73, -112, -151, -190, -229?
-268
What is the next term in 28, 46, 62, 76, 88?
98
What is the next term in 2344, 4692, 7040, 9388?
11736
What comes next: -145, -141, -135, -127, -117?
-105
What is the next term in -105, -213, -321, -429, -537?
-645
What comes next: 21, 65, 135, 231?
353
What is next in 20, 70, 148, 254, 388, 550?
740
What is the next term in 1017, 2042, 3069, 4098, 5129?
6162
What comes next: -6045, -6043, -6041, -6039?
-6037
What comes next: 14, 14, 18, 26, 38, 54, 74?
98
What is the next term in 523, 1047, 1571, 2095?
2619
What is next in -8, -5, -2?
1
What comes next: 77, 151, 231, 323, 433?
567
What comes next: 2, 12, 42, 98, 186?
312
What comes next: -74, -314, -720, -1298, -2054, -2994, -4124, -5450?
-6978
What is the next term in -235, -236, -237, -238?
-239
What is next in 13, 0, -29, -80, -159, -272, -425, -624?
-875
What is the next term in -17, 1, 47, 133, 271, 473, 751, 1117?
1583
What is the next term in -102, -103, -104, -105?
-106
What is next in 174, 310, 446, 582, 718?
854
What comes next: -150, -275, -386, -477, -542, -575, -570, -521?
-422
What comes next: 2415, 2419, 2425, 2433, 2443, 2455?
2469
What is the next term in 148, 144, 146, 160, 192?
248
What comes next: -446, -1794, -4040, -7184?
-11226
What comes next: -140, -142, -144, -146, -148, -150?
-152
What is next in 1025, 1023, 1021, 1019, 1017?
1015
What is next in 138, 136, 134, 132?
130
What is the next term in 25, 22, 17, 10, 1, -10?
-23
What is next in 858, 1704, 2550, 3396, 4242, 5088?
5934
What is next in -1020, -1023, -1028, -1035, -1044?
-1055
What is the next term in 21, 67, 165, 339, 613?
1011
What comes next: -387, -392, -399, -408, -419, -432, -447?
-464
What comes next: -474, -939, -1404, -1869, -2334, -2799?
-3264
What is the next term in -70, -318, -722, -1276, -1974, -2810, -3778, -4872?
-6086
What is the next term in -115, -140, -235, -436, -779, -1300, -2035?
-3020
What comes next: -93, -99, -103, -105?
-105
What is the next term in 309, 312, 329, 366, 429?
524
What comes next: -2144, -2145, -2146, -2147?
-2148
What is next in 42472, 42473, 42474?
42475
What comes next: -7, 8, 37, 86, 161, 268, 413, 602?
841
What comes next: 1553, 1565, 1577, 1589, 1601?
1613
What is next in -52, -102, -152, -202?
-252
What is the next term in -10, -49, -130, -265, -466?
-745
What is the next term in -81, -86, -91, -96?
-101
What comes next: -5, -4, 5, 22, 47?
80
What is the next term in -17, -23, -33, -47, -65, -87?
-113
What is the next term in 4, -23, -46, -47, -8, 89, 262?
529
What is the next term in -13, 10, 33?
56
What is the next term in -108, -139, -190, -261?
-352
What is next in 985, 986, 987, 988?
989
What comes next: -59, -61, -63, -65, -67, -69?
-71
What comes next: 4, -6, -22, -44, -72, -106, -146?
-192
What comes next: -12, -42, -72, -102?
-132
What comes next: -31, -13, 9, 35?
65
What is the next term in 483, 472, 457, 438, 415, 388?
357
What is the next term in 10, 10, 16, 34, 70?
130
What is next in -42, -40, -36, -30, -22, -12, 0?
14
What comes next: -11, -114, -385, -908, -1767?
-3046
What comes next: 307, 305, 301, 295, 287, 277, 265?
251
What comes next: 28, 16, -94, -350, -800, -1492, -2474, -3794?
-5500
What is the next term in -29, -152, -489, -1148, -2237, -3864, -6137?
-9164
What comes next: -13713, -13714, -13715, -13716, -13717?
-13718
What is next in 22, 17, 12, 7?
2
What is next in 25, 14, -11, -56, -127, -230, -371?
-556
What is the next term in 368, 323, 278, 233, 188?
143
What is the next term in 1063, 1037, 1001, 949, 875?
773
What is next in -120, -436, -962, -1698, -2644, -3800?
-5166
What is the next term in 27, 23, 19?
15
What comes next: 307, 299, 279, 241, 179, 87?
-41
What comes next: -59, -82, -105, -128, -151, -174?
-197
What is next in 337, 336, 333, 328, 321, 312, 301?
288
What is next in 11, -47, -105, -163, -221?
-279
What is the next term in 5, 41, 139, 329, 641, 1105, 1751?
2609
What comes next: 16, 40, 52, 28, -56, -224, -500?
-908
What comes next: 27, -12, -81, -186, -333, -528, -777, -1086?
-1461
What is next in -9, -6, 5, 30, 75, 146, 249?
390
What comes next: -175, -173, -169, -163, -155, -145, -133?
-119
What comes next: -817, -813, -797, -763, -705, -617?
-493
What is next in 17, 88, 195, 332, 493, 672, 863, 1060?
1257
What is next in -668, -2583, -5774, -10241, -15984, -23003?
-31298
What comes next: -57, -63, -69, -75?
-81
What is next in -134, -105, -78, -53?
-30
What is the next term in -11, -65, -159, -293, -467, -681, -935?
-1229
What is next in -255, -510, -765, -1020, -1275, -1530?
-1785
What is next in 244, 978, 2200, 3910, 6108, 8794, 11968?
15630
What is the next term in 20, -151, -610, -1501, -2968, -5155, -8206?
-12265
What is the next term in 2, 17, 36, 59, 86, 117?
152
What is next in -1510, -1514, -1518, -1522, -1526, -1530?
-1534
What is the next term in 679, 681, 683, 685, 687?
689
What is next in 41, 58, 93, 152, 241?
366
What is next in 30, 33, 38, 45?
54
What comes next: -53, -103, -153?
-203
What is the next term in -32, -80, -138, -206?
-284
What comes next: 90, 69, 18, -75, -222, -435, -726, -1107?
-1590
What is the next term in 104, 205, 294, 365, 412, 429, 410, 349?
240
What is next in -453, -905, -1357, -1809?
-2261
What is the next term in 117, 226, 327, 420?
505
What comes next: -15, -22, -29?
-36
What comes next: -58, -69, -74, -67, -42, 7?
86
What comes next: -886, -893, -900, -907, -914, -921?
-928
What is the next term in 39, 17, -25, -93, -193, -331, -513, -745?
-1033
What is the next term in -24, -91, -204, -363, -568, -819, -1116?
-1459
What is the next term in -18, -17, -16?
-15
What comes next: 95, 89, 83, 77, 71?
65
What is next in 13, 22, 25, 22?
13
What comes next: -131, -300, -471, -644?
-819
What is next in 32, 22, -6, -58, -140?
-258
What is the next term in 3325, 3335, 3347, 3361, 3377, 3395, 3415?
3437
What comes next: -41, -42, -43, -44, -45, -46?
-47
What is the next term in 10, 7, 0, -11?
-26
What comes next: -3475, -6951, -10427, -13903, -17379, -20855?
-24331
What comes next: 458, 1804, 4048, 7190, 11230, 16168?
22004
What comes next: -26, -46, -66, -86, -106?
-126
What comes next: 101, 200, 299, 398?
497
What is the next term in 19, 41, 69, 109, 167, 249?
361
What is the next term in 796, 1584, 2372, 3160?
3948
What is the next term in -77, -72, -69, -74, -93, -132, -197?
-29
|
{
"pile_set_name": "DM Mathematics"
}
|
{q: 1, v: 2}.
1/3
Calculate prob of sequence yh when two letters picked without replacement from yhyh.
1/3
What is prob of sequence gf when two letters picked without replacement from {c: 1, z: 1, f: 5, g: 1, q: 1}?
5/72
Calculate prob of sequence avus when four letters picked without replacement from vzzuzuhszzzvvzuah.
3/19040
Calculate prob of sequence kncn when four letters picked without replacement from {k: 1, c: 3, n: 3}.
3/140
Two letters picked without replacement from sraqrfsqsfqffoqrassq. Give prob of sequence ff.
3/95
Two letters picked without replacement from ydjhu. What is prob of sequence uj?
1/20
Two letters picked without replacement from jhjhjjhhjhhj. What is prob of sequence hh?
5/22
What is prob of sequence ddv when three letters picked without replacement from {n: 5, v: 2, z: 6, s: 3, d: 2}?
1/1224
Two letters picked without replacement from {k: 5}. Give prob of sequence kk.
1
Calculate prob of sequence ynyh when four letters picked without replacement from qhhqnyhhyqyhhhqhhhhh.
1/1615
What is prob of sequence jjj when three letters picked without replacement from jjjjjj?
1
Two letters picked without replacement from ccqqqzdzqa. What is prob of sequence dz?
1/45
Four letters picked without replacement from arllylcayrbacrarc. What is prob of sequence bcar?
1/1190
What is prob of sequence xrx when three letters picked without replacement from xxrkokxkoxxxkxxrkxo?
8/323
What is prob of sequence xb when two letters picked without replacement from {x: 1, b: 1, h: 3}?
1/20
What is prob of sequence kkk when three letters picked without replacement from {k: 1, s: 6, u: 2, n: 3, a: 4}?
0
Four letters picked without replacement from ataataaataa. Give prob of sequence ttaa.
7/165
Two letters picked without replacement from qqeqqeq. What is prob of sequence qq?
10/21
What is prob of sequence hrf when three letters picked without replacement from mhflrhfrfhhhfhmfm?
1/68
Two letters picked without replacement from {a: 1, f: 2}. What is prob of sequence af?
1/3
Three letters picked without replacement from {a: 5, q: 2, n: 2, t: 1, h: 1, o: 2}. Give prob of sequence nqo.
2/429
Three letters picked without replacement from vidniididiidiiddi. What is prob of sequence ini?
3/170
Two letters picked without replacement from yyyyyyy. What is prob of sequence yy?
1
Calculate prob of sequence ll when two letters picked without replacement from cllllllc.
15/28
Four letters picked without replacement from {a: 3, j: 1, g: 3, q: 2, f: 1, n: 1}. Give prob of sequence qajf.
1/1320
Calculate prob of sequence ytx when three letters picked without replacement from ybbaabbbxyabyxtyt.
1/255
Calculate prob of sequence rsrr when four letters picked without replacement from sssrssrssrssssss.
1/560
Four letters picked without replacement from {w: 3, z: 3, q: 6, r: 3}. Give prob of sequence qqww.
1/182
Calculate prob of sequence iqq when three letters picked without replacement from ttffftififfffqfqqt.
1/408
What is prob of sequence ib when two letters picked without replacement from eeiiibiieitirebrs?
7/136
Two letters picked without replacement from {b: 1, v: 3, d: 13}. What is prob of sequence vb?
3/272
What is prob of sequence kkpp when four letters picked without replacement from kpppkpppppkpppppkppk?
35/969
Two letters picked without replacement from {f: 2, p: 8}. Give prob of sequence pp.
28/45
Calculate prob of sequence bq when two letters picked without replacement from qwqbw.
1/10
What is prob of sequence ax when two letters picked without replacement from xaxxxxxaaxxanxaxnax?
11/57
What is prob of sequence ur when two letters picked without replacement from uuruuuuuuuuruhuhuh?
13/153
Three letters picked without replacement from {f: 5, z: 2}. Give prob of sequence zzf.
1/21
Calculate prob of sequence gub when three letters picked without replacement from jabuguab.
1/84
Three letters picked without replacement from {e: 4, y: 2, j: 5, f: 4}. What is prob of sequence fye?
16/1365
Three letters picked without replacement from mzruezvr. What is prob of sequence ezm?
1/168
Four letters picked without replacement from {c: 9}. Give prob of sequence cccc.
1
Two letters picked without replacement from {f: 14, y: 1}. What is prob of sequence ff?
13/15
Calculate prob of sequence bbb when three letters picked without replacement from ccbbbcbebecbcbb.
8/65
Four letters picked without replacement from ntvthhvtffvnhntt. Give prob of sequence nvvh.
9/7280
What is prob of sequence cllo when four letters picked without replacement from coccllccl?
5/504
Calculate prob of sequence zp when two letters picked without replacement from {l: 2, p: 1, y: 1, e: 5, z: 2, i: 2}.
1/78
What is prob of sequence hsn when three letters picked without replacement from {o: 2, n: 2, f: 1, h: 2, s: 13}?
13/1710
Three letters picked without replacement from {m: 4, z: 2, k: 7}. What is prob of sequence mmm?
2/143
Four letters picked without replacement from {f: 4}. Give prob of sequence ffff.
1
Three letters picked without replacement from wdyywywwydygdwy. What is prob of sequence www?
2/91
Three letters picked without replacement from ivjigoojgppgpii. What is prob of sequence jpj?
1/455
Four letters picked without replacement from {p: 8, t: 4, b: 2}. Give prob of sequence pbbt.
8/3003
Three letters picked without replacement from {f: 7, q: 6}. Give prob of sequence fff.
35/286
Three letters picked without replacement from cgggcggc. What is prob of sequence ccg?
5/56
Three letters picked without replacement from {u: 2, k: 1, i: 4}. Give prob of sequence iii.
4/35
Calculate prob of sequence jjj when three letters picked without replacement from jjjjj.
1
Two letters picked without replacement from cnnonccsnncnnnnon. What is prob of sequence co?
1/34
What is prob of sequence nn when two letters picked without replacement from nnnniinnninnnninnnnn?
12/19
Four letters picked without replacement from rrjsbrrsrbrbs. Give prob of sequence jsbs.
3/2860
Three letters picked without replacement from syy. What is prob of sequence ysy?
1/3
Four letters picked without replacement from {n: 1, y: 4, q: 2}. What is prob of sequence qqyy?
1/35
Four letters picked without replacement from {v: 3, d: 1}. What is prob of sequence dvvv?
1/4
Four letters picked without replacement from {m: 2, a: 2, f: 2}. What is prob of sequence amma?
1/90
Calculate prob of sequence xpkk when four letters picked without replacement from {z: 2, p: 2, b: 4, k: 8, x: 3}.
7/1938
Two letters picked without replacement from ffiysffy. What is prob of sequence fy?
1/7
What is prob of sequence tttt when four letters picked without replacement from ttttt?
1
Calculate prob of sequence ggg when three letters picked without replacement from gggggg.
1
Three letters picked without replacement from {h: 3, n: 5, y: 1, k: 4, u: 5, p: 2}. Give prob of sequence ypn.
1/684
Two letters picked without replacement from ccicxxccxcccacccx. What is prob of sequence ca?
11/272
Four letters picked without replacement from xldcllxqlxqdlddldd. What is prob of sequence lxld?
1/136
Three letters picked without replacement from {o: 2, l: 1, v: 1, w: 1, r: 7, f: 2}. Give prob of sequence rfo.
1/78
What is prob of sequence kkdi when four letters picked without replacement from dkainbadkad?
1/1320
Calculate prob of sequence zdnd when four letters picked without replacement from nxhdcdzzcznxdcdcn.
9/4760
Four letters picked without replacement from {l: 3, d: 2}. What is prob of sequence ldll?
1/10
Three letters picked without replacement from mmmm. What is prob of sequence mmm?
1
What is prob of sequence uvuu when four letters picked without replacement from {v: 1, n: 6, u: 4}?
1/330
Four letters picked without replacement from {f: 1, u: 1, r: 2, x: 2, d: 1, h: 1}. Give prob of sequence dxux.
1/840
Three letters picked without replacement from {f: 2, o: 4, t: 5}. What is prob of sequence fft?
1/99
Four letters picked without replacement from ndccdcnddc. What is prob of sequence cdnc?
2/105
Calculate prob of sequence xaa when three letters picked without replacement from {a: 2, j: 4, r: 4, x: 1}.
1/495
What is prob of sequence zs when two letters picked without replacement from szszzzzmmszmszm?
2/15
What is prob of sequence bb when two letters picked without repla
|
{
"pile_set_name": "DM Mathematics"
}
|
/7, 91, 2, 0.5?
4/7
What is the third smallest value in 7/5, 2, -3, -0.4, -0.7?
-0.4
What is the second biggest value in -1, -59777, -2/11, -0.4?
-0.4
Which is the second smallest value? (a) -2 (b) 7 (c) -22 (d) -10
d
What is the smallest value in -1/6, 1/10, 0.5, -2, -1/7, 5/3?
-2
Which is the third smallest value? (a) -0.4 (b) 0.2775 (c) 0
b
What is the smallest value in -8, 1, 5, -4, -5/6?
-8
What is the second smallest value in 8/11, -20, 0, -1, 3?
-1
Which is the third smallest value? (a) -2/5 (b) 40.89 (c) 28
b
What is the biggest value in -0.3, -3944, 0.5?
0.5
What is the second biggest value in -4/7, 4, 4/7, -2, 21.5?
4
What is the sixth smallest value in -1, -0.3, 990, -2/9, 19, -3?
990
Which is the third smallest value? (a) -0.39 (b) -4.63 (c) 2
c
What is the smallest value in 2, -2, 11, 0.35, -3, 8?
-3
What is the third biggest value in 3, -64, 326?
-64
Which is the third biggest value? (a) -1 (b) -2/13 (c) -4 (d) 5 (e) -309 (f) -2/11
f
What is the fifth smallest value in 4, -13, 5, -0.04, 3?
5
What is the third biggest value in 0.1, -6, -3/4, 12, 5?
0.1
Which is the fourth biggest value? (a) -13411 (b) 3 (c) 2/19 (d) -2/19 (e) 0.5
d
What is the biggest value in -1/18, 5, -0.38, -0.002?
5
Which is the fourth biggest value? (a) 0.1 (b) 0.8 (c) 5 (d) 0.7 (e) -0.04
a
What is the third biggest value in 24779, -70/3, 0?
-70/3
Which is the third biggest value? (a) 2/7 (b) -45.71 (c) -2 (d) 20
c
Which is the fourth smallest value? (a) 0.05 (b) 2/19 (c) 0.4 (d) 4/5 (e) -1.4 (f) 1/10
b
What is the fifth biggest value in -2, 4598, 3/5, 0.3, -1/2?
-2
Which is the fifth biggest value? (a) -37/3 (b) 0.1 (c) 2 (d) 10 (e) -3/4
a
Which is the fourth smallest value? (a) -35 (b) -2/5 (c) -1 (d) 4 (e) 4/7
e
Which is the fourth smallest value? (a) -3/10 (b) -3 (c) 1 (d) 1/3 (e) 22
c
What is the smallest value in 131, 5, 3, -4?
-4
Which is the third smallest value? (a) -0.3 (b) -2/11 (c) -6 (d) -9500
a
Which is the second smallest value? (a) -9 (b) -0.8 (c) -25
a
What is the second biggest value in -122, 3/5, 1/5, -2?
1/5
What is the biggest value in -392/5, 7/3, -0.5?
7/3
Which is the second biggest value? (a) 56 (b) 2 (c) -1 (d) 4 (e) 0.5 (f) -4.6
d
Which is the fourth smallest value? (a) -146 (b) 0.08 (c) -3 (d) -0.4
b
What is the third biggest value in 20, 0.2, -0.07, 2/21, -5?
2/21
What is the smallest value in -1/4, -304.03, 0.32?
-304.03
What is the third biggest value in 1, 0.32036, 1/4, 1/6, -1/4?
1/4
Which is the third smallest value? (a) -255 (b) 7 (c) 1 (d) 9
b
Which is the fourth smallest value? (a) -2/13 (b) 4 (c) -4 (d) 297 (e) -22 (f) 0.2
f
Which is the second smallest value? (a) -0.047929 (b) -0.5 (c) -1 (d) -0.2
b
What is the second smallest value in -2/21, -213, 0.5, 107, -3/8?
-3/8
Which is the fifth biggest value? (a) 3 (b) 75 (c) -2/13 (d) 3/2 (e) -15
e
What is the third smallest value in 3, -2/17, 0.1, -2, -12, 15/46?
-2/17
Which is the fifth biggest value? (a) 5/2 (b) -5 (c) 0.1 (d) -2/7 (e) -2127 (f) 0
b
What is the second smallest value in -4.2, 2/55, 9?
2/55
Which is the smallest value? (a) -4 (b) 75/47 (c) 3 (d) 2 (e) -3 (f) -2
a
Which is the second smallest value? (a) 10 (b) -1/9 (c) -18 (d) -4
d
What is the smallest value in 80, -11.3, 15?
-11.3
Which is the second smallest value? (a) -2/3 (b) 145 (c) 10 (d) 0 (e) 3/4 (f) -12
a
Which is the biggest value? (a) 0.85379 (b) -1 (c) 5
c
Which is the second biggest value? (a) -0.05 (b) -80/19 (c) -1.3
c
Which is the third smallest value? (a) 0.03 (b) -2/17 (c) -3 (d) 16 (e) 338
a
What is the fourth smallest value in 2527, 3/5, -1, -0.02, 1/4, 0?
1/4
Which is the biggest value? (a) 15/8 (b) 4 (c) -0.075
b
Which is the third smallest value? (a) 22.98 (b) -25/3 (c) -3
a
Which is the fifth biggest value? (a) -112.5 (b) -1/5 (c) 3/4 (d) 1 (e) -5
a
Which is the fourth smallest value? (a) 1/4 (b) 2/5 (c) 1 (d) 12 (e) -1/9 (f) -182
b
Which is the second biggest value? (a) -542 (b) 10/47 (c) -1/8
c
What is the fourth smallest value in -2, 5211, 3/4, 5?
5211
Which is the third smallest value? (a) 20588 (b) -1 (c) 2
a
What is the fourth biggest value in -3/7, 5, -0.1, -4562?
-4562
What is the third smallest value in 0.2, 6, -9, 0.6, -41?
0.2
Which is the second smallest value? (a) -3 (b) 2/215 (c) 3/8 (d) 27
b
Which is the biggest value? (a) -5 (b) -9 (c) 10 (d) 1/2 (e) 2
c
What is the second smallest value in 5.45625, 0.5, -0.5, 4?
0.5
Which is the fourth smallest value? (a) 0.5 (b) 317 (c) -1.1 (d) 1 (e) -1
d
Which is the fourth biggest value? (a) -8 (b) 0.1 (c) -1 (d) -0.38
a
Which is the smallest value? (a) 64.4 (b) 2/447 (c) 1
b
Which is the smallest value? (a) 1/2 (b) 2.566 (c) -3/2 (d) 2
c
Which is the third smallest value? (a) -0.014 (b) 61 (c) -1 (d) 0.2
d
Which is the fourth smallest value? (a) 3/5 (b) -5 (c) 2 (d) 1088 (e) 5
e
Which is the fifth smallest value? (a) -6 (b) 3 (c) 2/51 (d) 5 (e) -5 (f) -1/5
b
What is the third smallest value in -1.3, -2534/13, -0.8?
-0.8
What is the third biggest value in 2/7, -1, 3/167, -0.01?
-0.01
What is the third smallest value in 1, 0.2, 0.186, 0.5, 5, -30?
0.2
What is the third smallest value in 0.3, 1/2, 177731?
177731
What is the fourth smallest value in 2.6, -2, 0.4, -2/11?
2.6
What is the second smallest value in -0.4, -94, 2/11, 32.3, 1, 0.2?
-0.4
Which is the biggest value? (a) 5 (b) 1/6 (c) -4 (d) -3/7 (e) -3 (f) -0.34
a
Which is the smallest value? (a) 2 (b) -2/15 (c) 23 (d) 0.5 (e) -1 (f) -17
f
What is the sixth smallest value in 4, 1/56, 1/2, -0.3, -4, 0.6?
4
Which is the smallest value? (a) 116 (b) -0.3 (c) 0.4 (d) 787
b
Which is the fourth biggest value? (a) -4/7 (b) 7 (c) 1/6 (d) 16 (e) 0.5
c
What is the third smallest value in -82, -0.3, -0.06406?
-0.06406
Which is the third smallest value? (a) 0.1 (b) -321 (c) -312
a
Which is the fourth smallest value? (a) 2 (b) -0.3 (c) -7/6 (d) -117 (e) 4
a
What is the third smallest value in 49, 3/4, -0.01, 0.11, 3, 3/7?
3/7
What is the second smallest value in 4, -2489/5, 0.07, 1/4?
0.07
What is the second smallest value in -0.245, 4, 1202?
4
Which is the fourth smallest value? (a) -0.02 (b) 1 (c) 1/102 (d) -12
b
Which is the second smallest value? (a) -4 (b) -54.6 (c) -1.89
a
What is the third biggest value in 0, 158, -5, -9?
-5
What is the third biggest value in -5, -0.3, 210560?
-5
What is the sixth smallest value in -92, 2/7, -5/6, -28, 5, 0.1?
5
Which is the third smallest value? (a) -12/5 (b) 15/14 (c) 63 (d) 1/6
b
Which is the fifth biggest value? (a) -2 (b) -1/3 (c) 2/77 (d) 0.6 (e) -294
e
What is the second biggest value in 5, 4/115951, -2/3?
4/115951
Which is the second smallest value? (a) -78 (b) 0.3 (c) -5/4 (d) -897
a
Which is the second biggest value? (a) 0 (b) 6 (c) -21 (d) -6/13 (e) 0.3 (f) -1/6
e
Which is the third biggest value? (a) -2/2129 (b) 3 (c) 5
a
Which is the second smallest value? (a) 2 (b) 1 (c) -0.5 (d) 5 (e) -26 (f) 2/3
c
Which is the second biggest value? (a) 0 (b) -4 (c) -1.1 (d) 704/9
a
What is the smallest value in -4, 1.9, -6, -0.1, 3/4?
-6
What is the sixth biggest value in 3, -1, -2/9, -0.4, 17, -14?
-14
Which is the third biggest value? (a) -2/13 (b) -1 (c) 4 (d) 22.98 (e) -0.2 (f) -4/9
a
What is the fourth smallest value in -11, -0.01, 2/9, -107, 1, 2/15?
2/15
What is the fourth biggest value in -4.9, -0.3, -5, -1.09?
-5
What is the second biggest value in 0.01, 1/3, 6564?
1/3
Which is the fourth biggest value? (a) -5 (b) 0.4 (c) -0.04 (d) 4943
a
Which is the fourth smallest value? (a) 7 (b) -1/11 (c) -0.5 (d) -4 (e) 4 (f) 0.0241
f
Which is the second biggest value? (a) 299/7 (b) 0.5 (c) 7 (d) -1 (e) 3 (f) -1/4
c
Which is the fourth smallest value? (a) 1/5 (b) -1/3 (c) 105 (d) 2/9 (e) 0.22
d
Which is the second smallest value? (a) 1/2 (b) 4 (c) 19 (d) -50.68
a
Which is the second smallest value? (a) 0.2 (b) -5/32 (c) 10 (d) -84
b
What is the third smallest value in 1/5, -2/11, -5, 0, 12, 0.017?
0
What is the smallest value in -2/7791, 2, 4/23?
-2/7791
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
centimeters?
0.8839626
What is 58251.63 days in milliseconds?
5032940832000
How many millilitres are there in one twentieth of a litre?
50
What is 21/5 of a gram in milligrams?
4200
What is 7.012789 litres in millilitres?
7012.789
Convert 2166.657t to grams.
2166657000
Convert 4.501824 months to millennia.
0.000375152
Convert 0.1523453 minutes to seconds.
9.140718
How many months are there in 620824.9 millennia?
7449898800
What is three eighths of a millimeter in micrometers?
375
How many kilometers are there in 0.3763277m?
0.0003763277
How many centuries are there in 7539.521 years?
75.39521
What is 0.5431414 tonnes in grams?
543141.4
What is 167.593 meters in kilometers?
0.167593
What is 57416.13ng in micrograms?
57.41613
What is 0.7180182 weeks in seconds?
434257.40736
How many milliseconds are there in fifty-one fifths of a second?
10200
What is fifty-three quarters of a kilometer in meters?
13250
How many millilitres are there in 9/10 of a litre?
900
How many litres are there in 119.1286 millilitres?
0.1191286
How many minutes are there in 7/3 of a hour?
140
What is 4.348145 kilograms in grams?
4348.145
What is thirteen quarters of a century in years?
325
Convert 55.9704l to millilitres.
55970.4
What is fourty-six fifths of a microsecond in nanoseconds?
9200
How many millilitres are there in seventeen halves of a litre?
8500
Convert 4412.085km to micrometers.
4412085000000
What is 1.571826 decades in millennia?
0.01571826
Convert 9.26552g to nanograms.
9265520000
What is 1/6 of a day in minutes?
240
What is three fifths of a litre in millilitres?
600
What is 3/5 of a day in seconds?
51840
What is 79.09034 weeks in minutes?
797230.6272
What is 1340.315g in micrograms?
1340315000
What is 9/10 of a meter in centimeters?
90
What is five quarters of a millennium in years?
1250
What is five eighths of a decade in months?
75
How many nanograms are there in 49/5 of a microgram?
9800
What is 6031.751m in nanometers?
6031751000000
Convert 2.102443 millennia to centuries.
21.02443
What is 30917.82 millilitres in litres?
30.91782
What is seventeen tenths of a millennium in centuries?
17
How many months are there in 23/3 of a decade?
920
What is 9111.688 nanometers in micrometers?
9.111688
What is seventeen quarters of a kilogram in grams?
4250
What is thirty-three fifths of a tonne in kilograms?
6600
What is twenty-seven quarters of a kilogram in grams?
6750
How many nanometers are there in 4595.857um?
4595857
How many milligrams are there in 8.13981 grams?
8139.81
Convert 434853.7us to milliseconds.
434.8537
How many months are there in 4/75 of a millennium?
640
What is 0.2447309l in millilitres?
244.7309
How many millilitres are there in 6/25 of a litre?
240
How many minutes are there in 0.6253447 hours?
37.520682
What is 5.559295 weeks in milliseconds?
3362261616
How many millimeters are there in 49/4 of a meter?
12250
Convert 2.772444 tonnes to micrograms.
2772444000000
What is 180.8025km in centimeters?
18080250
What is 0.1344358um in kilometers?
0.0000000001344358
What is 95812.04ml in litres?
95.81204
How many nanograms are there in 847406.5 micrograms?
847406500
What is 372.5622ml in litres?
0.3725622
How many months are there in 1/6 of a year?
2
Convert 0.934156ml to litres.
0.000934156
What is 336.06666s in hours?
0.09335185
What is one quarter of a litre in millilitres?
250
How many months are there in 3/8 of a decade?
45
How many hours are there in 67.290345 seconds?
0.0186917625
How many litres are there in 330751.3 millilitres?
330.7513
How many months are there in 7803.923 years?
93647.076
Convert 0.1965586 litres to millilitres.
196.5586
How many decades are there in one quarter of a millennium?
25
What is three tenths of a micrometer in nanometers?
300
How many grams are there in 61/2 of a kilogram?
30500
What is 11/2 of a decade in months?
660
What is twenty-seven quarters of a gram in milligrams?
6750
What is one sixteenth of a meter in micrometers?
62500
What is 1/10 of a millennium in decades?
10
What is one quarter of a litre in millilitres?
250
How many years are there in 65298.34 millennia?
65298340
What is 4.588547l in millilitres?
4588.547
What is 8.538083l in millilitres?
8538.083
What is 0.9291075 years in decades?
0.09291075
How many millilitres are there in 18/5 of a litre?
3600
Convert 0.991508 decades to centuries.
0.0991508
What is twenty-nine halves of a millisecond in microseconds?
14500
What is 1/5 of a micrometer in nanometers?
200
What is six fifths of a kilometer in meters?
1200
How many seconds are there in fourty-five halves of a hour?
81000
Convert 83.29178l to millilitres.
83291.78
What is 6.697728 microseconds in hours?
0.00000000186048
How many nanograms are there in twenty-three eighths of a microgram?
2875
What is 67/5 of a litre in millilitres?
13400
What is 863.5522 millennia in centuries?
8635.522
Convert 828018.2ml to litres.
828.0182
How many years are there in 0.3131642 decades?
3.131642
How many micrograms are there in 3240.83 nanograms?
3.24083
Convert 61224.3l to millilitres.
61224300
What is 75.225645 minutes in days?
0.05224003125
Convert 97964.39 litres to millilitres.
97964390
What is 1700.2 litres in millilitres?
1700200
What is 3/25 of a litre in millilitres?
120
What is 0.5459956m in micrometers?
545995.6
What is twenty-seven quarters of a litre in millilitres?
6750
How many centuries are there in 3/5 of a millennium?
6
How many seconds are there in five sixths of a minute?
50
What is 47/4 of a century in years?
1175
What is 0.4801442 weeks in microseconds?
290391212160
What is 72/5 of a litre in millilitres?
14400
What is thirteen fifths of a micrometer in nanometers?
2600
Convert 360214.2 kilometers to millimeters.
360214200000
How many seconds are there in 6/5 of a hour?
4320
How many months are there in three tenths of a millennium?
3600
How many minutes are there in 327.54 days?
471657.6
What is 4099.49 decades in centuries?
409.949
What is six fifths of a decade in months?
144
How many millilitres are there in seventeen halves of a litre?
8500
Convert 37.14788 centuries to decades.
371.4788
How many micrograms are there in 15/4 of a milligram?
3750
What is 3/40 of a milligram in nanograms?
75000
What is 21/8 of a litre in millilitres?
2625
What is 272264.5 millennia in years?
272264500
What is 8.565182 milligrams in nanograms?
8565182
How many meters are there in fourty-six fifths of a kilometer?
9200
What is 357.962mm in micrometers?
357962
How many millimeters are there in fourty-seven quarters of a meter?
11750
What is 18/5 of a century in months?
4320
How many grams are there in 7/2 of a kilogram?
3500
Convert 1667669.85ns to days.
0.000000019301734375
Convert 75066.71 milliseconds to nanoseconds.
75066710000
What is eleven halves of a milligram in micrograms?
5500
What is 5/8 of a meter in millimeters?
625
How many centuries are there in 28.75398 decades?
2.875398
What is 9/10 of a millimeter in micrometers?
900
What is 0.5711232 kilometers in meters?
571.1232
How many years are there in 2.1879495 months?
0.182329125
Convert 0.1423261 litres to millilitres.
142.3261
How many millilitres are there in twenty-seven halves of a litre?
13500
What is 6.905124 nanograms in milligrams?
0.000006905124
How many millilitres are there in 1/4 of a litre?
250
How many grams are there in 729143.1 tonnes?
729143100000
How many micrometers are there in 27/4 of a millimeter?
6750
How many minutes are there in thirty-seven halves of a hour?
1110
How many millilitres are there in 7/4 of a litre?
1750
What is 15/4 of a second in milliseconds?
3750
How many minutes are there in 1/24 of a week?
420
How many decades are there in 17/10 of a millennium?
170
How many kilograms are there in five eighths of a tonne?
625
What is thirteen quarters of a gram in milligrams?
3250
What is nine tenths of a milligram in micrograms?
900
Convert 0.586396t to micrograms.
586396000000
What is 599.8902 months in years?
49.99085
How many centimeters are there in 53/5 of a meter?
1060
How many millennia are there in 353.2003 years?
0.3532003
Convert 38.67615 millilitres to litres.
0.03867615
How many micrograms are there in 0.1357241 grams?
135724.1
How many milliseconds are there in 3/8 of a minute?
22500
What is 8
|
{
"pile_set_name": "DM Mathematics"
}
|
than or equal to 0.2?
False
Which is smaller: -781831 or -781832?
-781832
Do 1/49639 and 0 have the same value?
False
Is -3 less than or equal to -418?
False
Are 2485 and -5 equal?
False
Which is bigger: -576 or -127?
-127
Is 5428/5 greater than 1086?
False
Which is bigger: 2/7 or 2/1051483?
2/7
Which is bigger: -4/192089 or 1?
1
Does -10/9881 = 1?
False
Is 0 < 1/131403?
True
Which is greater: -510 or 0.29?
0.29
Which is smaller: -21/913 or -1?
-1
Which is smaller: -50/24859 or 1?
-50/24859
Is -2/5548937 != 0?
True
Which is smaller: 272 or -398/3?
-398/3
Is 1 > -2/62059?
True
Is -3370210 less than or equal to -3370209?
True
Which is bigger: -844/339 or -1?
-1
Is -6529/8 >= -815?
False
Are 5675/994 and 6 unequal?
True
Which is smaller: 0 or -42/7741?
-42/7741
Which is bigger: -15954 or -15889?
-15889
Which is smaller: 0 or -26/97901?
-26/97901
Which is smaller: 7232/3 or -83?
-83
Which is smaller: 0.9 or 164.564?
0.9
Which is greater: 0 or 473/7624?
473/7624
Which is bigger: 413 or 387?
413
Which is smaller: -790116 or -790119?
-790119
Are 1 and -50/437673 non-equal?
True
Is -113 greater than or equal to 98?
False
Is -0.2 smaller than 4448?
True
Which is smaller: -378912 or -378909?
-378912
Is 0 less than 300/509?
True
Is -88/177831 != 0?
True
Which is smaller: 1/4783 or -1/2?
-1/2
Are 40584 and 40586 non-equal?
True
Which is smaller: 1179/211 or 6?
1179/211
Is 1 at most -6/520229?
False
Is 3976388 >= 3976388?
True
Which is bigger: 327043 or 327046?
327046
Which is smaller: 85882 or 944696/11?
944696/11
Is 10/84473 at least 1?
False
Is 0 at most 62/192241?
True
Which is smaller: -93812 or -93813?
-93813
Which is bigger: 1709273 or 1709272?
1709273
Does 2/3 = 686?
False
Is 22425/34 >= 660?
False
Which is smaller: -4/4435 or 0.38?
-4/4435
Is -7/128000 at most 0?
True
Is -2004286 less than -2004287?
False
Is -383573 at most as big as -3?
True
Are -41496 and -41494 non-equal?
True
Does -611404 = -611405?
False
Which is smaller: 7766 or 7805?
7766
Is 452132 less than 452132?
False
Is -185/13504 greater than or equal to 0?
False
Is -255305 less than or equal to -255305?
True
Is 6309 at most -0.807?
False
Which is smaller: 0 or -138/845?
-138/845
Which is greater: 173 or 2071/12?
173
Is 0 > 6/19693?
False
Which is bigger: 7/5 or -83.01?
7/5
Is -84501 at least as big as -84506?
True
Do -13267 and -145940/11 have different values?
True
Is 7/72916 at most 1?
True
Which is bigger: 0 or -9388?
0
Which is bigger: -5430/833 or -7?
-5430/833
Which is bigger: 13599 or 13600?
13600
Is 229262 bigger than 1?
True
Do -1 and -1014731 have different values?
True
Is -35/35334 at least as big as 0?
False
Which is smaller: -1.4139 or -653?
-653
Which is greater: -69 or 28631?
28631
Which is smaller: -708/13 or 5/12?
-708/13
Which is greater: 412 or 29723/72?
29723/72
Is 1/13275 <= 0?
False
Which is smaller: -1499744 or -1499743?
-1499744
Is 1 less than or equal to -1788/2525?
False
Is 40391 at least 40392?
False
Is -2/121941 bigger than -1?
True
Which is bigger: 1/37053 or 0?
1/37053
Is 48818 != 48841?
True
Which is smaller: 2/2745 or -1?
-1
Which is greater: 1 or 1/45338?
1
Which is smaller: -3627833 or -3627834?
-3627834
Which is smaller: 5828 or 5795?
5795
Which is smaller: 0.3351204 or -1?
-1
Which is smaller: -3911 or -0.24?
-3911
Which is smaller: -20 or -0.41299?
-20
Do -113189 and -113183 have the same value?
False
Do 52 and 1.071 have the same value?
False
Is -21187 smaller than -21180?
True
Which is smaller: -1/5944 or -175?
-175
Which is smaller: -1 or 11/35422?
-1
Which is smaller: -68240/59 or -1157?
-1157
Is -205 greater than -4706/23?
False
Which is smaller: -1816037 or -1816036?
-1816037
Which is smaller: 0 or 3/10475?
0
Which is smaller: 16622/33 or 503?
503
Is -25727 greater than 2/5?
False
Which is smaller: 1505/103 or 15?
1505/103
Is 60/66719 at most 1?
True
Is -81 at least as big as -42044?
True
Is -2/25 at most 2/1687?
True
Is -80 at least -2349?
True
Does -8/21043 = -0.06?
False
Is 2/7 > 0.004594?
True
Which is smaller: 36549 or 36535?
36535
Which is smaller: -4 or -33.361?
-33.361
Which is smaller: -170 or -210?
-210
Is 0 > -50676?
True
Which is smaller: -3819 or -403?
-3819
Which is smaller: -4455 or -22282/5?
-22282/5
Do -8049 and -8591 have different values?
True
Which is smaller: 1 or 2/5643885?
2/5643885
Which is smaller: -11790 or -11787?
-11790
Is -180337 greater than or equal to -180336?
False
Are 31/19959 and -1 non-equal?
True
Which is bigger: -1 or -12/100969?
-12/100969
Is -1 at most as big as -18021?
False
Which is bigger: -52050 or 2?
2
Which is smaller: 139950 or 139953?
139950
Is 193.81 at least -27.2?
True
Is -376211 at least -376209?
False
Do 312580 and 312580 have the same value?
True
Is -6301/180 greater than -34?
False
Which is smaller: 19/685391 or 1?
19/685391
Does 734209 = 1?
False
Which is smaller: -25/6 or -3/16?
-25/6
Is -602 less than -0.26?
True
Which is greater: 731/339 or 1?
731/339
Is 4 bigger than 1176/311?
True
Which is greater: -0.3 or -3805?
-0.3
Is 2313 smaller than 2313?
False
Is 0 equal to 378/6355?
False
Which is smaller: -4978 or -0.25?
-4978
Is -944/1031 > -1?
True
Is 1 < 7994.18?
True
Do -500 and 53 have different values?
True
Which is bigger: 2002 or 87?
2002
Which is smaller: -5/1672 or 24/11?
-5/1672
Is 1 < 1569/2903?
False
Which is smaller: -16 or -784/47?
-784/47
Is 1225 < 1209?
False
Which is smaller: 1382446 or 1382445?
1382445
Are 2600672 and 2600673 equal?
False
Which is smaller: -151089 or 1/2?
-151089
Is -47 >= -3431/74?
False
Are -2085 and -0.59 nonequal?
True
Which is smaller: -28640 or -28641?
-28641
Which is greater: 162544 or 162541?
162544
Which is smaller: 614 or 9?
9
Are 9 and -178647 equal?
False
Which is smaller: 2/402107 or 0?
0
Which is greater: 2/17739 or -1?
2/17739
Which is smaller: 382694 or 382689?
382689
Which is bigger: 2/33 or -24915?
2/33
Which is greater: 0 or -2/17689?
0
Which is greater: -71444/7 or -10205?
-10205
Is 2962 >= 2991?
False
Which is smaller: -82121/11 or -7465?
-82121/11
Which is bigger: 2248/209 or 12?
12
Which is smaller: -3/23 or 0.1?
-3/23
Which is smaller: 170235 or 170236?
170235
Is 11/6857 at least 1?
False
Is -102627 at least -0.6?
False
Is -8/21781 smaller than 1?
True
Is 98687/14 < 7049?
False
Which is bigger: -6 or 2.1?
2.1
Is -318 greater than -244?
False
Which is greater: -0.3 or 45814?
45814
Is -76 at least -8915/116?
True
Which is smaller: 4343890/13 or 334146?
4343890/13
Is 9 greater than -1741/8?
True
Is 3058 greater than or equal to 2932?
True
Are 0.063 and 112.01 equal?
False
Which is smaller: -1286 or -0.13?
-1286
Which is bigger: 0 or -980182?
0
Which is bigger: -1 or 51070/17?
51070/17
Is -8/1147831 at least as big as 0?
False
Do -1 and -4/268393 have different values?
True
Is -72217 less than -72216?
True
Is -30002/9 greater than -17?
False
Is 77/1329 < 1?
True
Which is smaller: 2/9 or 44207?
2/9
Is -578 >= 153?
False
Is -83299 < -83302?
False
Is 16693 > 16690?
True
Which is bigger: 4882 or 4873?
4882
Is 8 at least 4321/568?
True
Is -241/111 less than or equal to -1?
True
Which is smaller: -210/403 or -74?
-74
Which is bigger: -6.2 or -5/382?
-5/382
Is 2224 greater than or equal to 254?
True
Which is smaller: 17/111796 or 0.2?
17/111796
Which is smaller: -237 or -222?
-237
Which is greater: -2913 or -11653/4?
-2913
Which is greater: 532/747 or 1?
1
Is -1/260761 <= 1?
True
Which is smaller: -3426 or 27?
-3426
Is -29398 bigger than -29398?
False
Is -9005 not equal to -9007?
True
Which is greater: 12112 or 12108?
12112
Which is smaller: -3183 or -3120?
-3183
Which is smaller: -713885 or -713884?
-713885
Does -280 = -193?
False
Which is smaller: -916 or -367?
-916
Is 7126 greater than 7136?
False
Which is smaller: -7343 or 253?
-7343
Does 2 = 297/227?
False
Is 1 >= -15/41387?
True
Which is smaller: -5744/183 or -32?
-32
Is -56 less than -0.887?
True
Is 174099 greater than 174100?
False
Which is smaller: 7726 or 7756?
7726
Is -19 at least 28/1569?
False
Are -700629 and -4203767/6 unequal?
True
Which is smaller: 1/58609 or -1?
-1
Does 1/6 = 3?
False
Does 23086 = 23073?
False
Which is smaller: 6708 or 6701?
6701
Is 1 bigger than 186/2083?
True
Which is bigger: -10801 or 7?
7
Which is smaller: -8085 or -8059?
-8085
Which is greater: -1
|
{
"pile_set_name": "DM Mathematics"
}
|
t(936))*-4 - sqrt(936)) + sqrt(936)))/(1*3*sqrt(288)).
10*sqrt(13)/3
Simplify sqrt(300)*2 + -2 + 1 - (-1*(sqrt(300) + sqrt(300) + -2) + -1).
-2 + 40*sqrt(3)
Simplify ((-6*((sqrt(343) - 3*sqrt(343)) + sqrt(343)) + sqrt(343))/sqrt(7))/(5*2*sqrt(7)*2).
7*sqrt(7)/20
Simplify -3 + (sqrt(3)*1*6 + sqrt(3) + ((-4 + sqrt(3) - sqrt(3))**2 + 2 - sqrt(3)))*-4.
-75 - 24*sqrt(3)
Simplify (sqrt(85)/(sqrt(5) - sqrt(5)*3) + sqrt(68)/sqrt(196))*-5.
25*sqrt(17)/14
Simplify ((sqrt(120)/(sqrt(24)/sqrt(3)) - (-2*sqrt(15) - sqrt(15))*-5)/(sqrt(243) + 5*sqrt(243)*2 + sqrt(243) - sqrt(243)))**2.
980/9801
Simplify sqrt(931) + ((sqrt(931) + 3*sqrt(931)*-6 - sqrt(931)) + sqrt(931))**2 + (sqrt(1900) + sqrt(1900) + sqrt(1900) + (-2 + sqrt(1900) - sqrt(1900)))**2 + 4.
-113*sqrt(19) + 286167
Simplify (((4*sqrt(96)*2)/sqrt(12))/(sqrt(4) + -2*sqrt(100) + sqrt(4)*1*-1))**2.
32/25
Simplify -4 + (-5 + ((sqrt(1900) - (sqrt(1900) + 1 + 3)) + 4)*-5)**2.
21
Simplify (3*(sqrt(325) + -1)*-6 - (-1 + sqrt(325) + -2 + sqrt(325)*1))**2.
-4200*sqrt(13) + 130441
Simplify -4 + (sqrt(1008) + (sqrt(1008) + 1)**2 - sqrt(1008)) - sqrt(63)/(sqrt(9) + (sqrt(576) - 1*sqrt(576)) + sqrt(9)).
47*sqrt(7)/2 + 1005
Simplify ((-1 + sqrt(931))*-2 + -3 - (-4*(sqrt(931) - (sqrt(931) + -1)) + 0))**2.
-84*sqrt(19) + 3733
Simplify (-5*sqrt(325) + -4)**2 + (-1*sqrt(91))/sqrt(7) + -2.
199*sqrt(13) + 8139
Simplify sqrt(832)*-2 + (sqrt(3328) - 2*sqrt(3328))**2 + (sqrt(3328) - (1 + (1 + sqrt(3328) + sqrt(3328))**2)) + -4.
-9990 - 64*sqrt(13)
Simplify (-1 + sqrt(1377)*-2 + (-1 + 1*sqrt(1377) - sqrt(1377)))**2.
72*sqrt(17) + 5512
Simplify (sqrt(588)/(sqrt(84)/sqrt(7)))/(sqrt(252)*-6).
-sqrt(7)/36
Simplify (5*(sqrt(1573) + 2 + sqrt(1573) + -5)*-5)**2.
-82500*sqrt(13) + 3938125
Simplify -3*(sqrt(484) + 5*(sqrt(484) - (-1*sqrt(484) + sqrt(484))) - sqrt(484))/(sqrt(11)*-2*2).
15*sqrt(11)/2
Simplify (-1*(-1 + sqrt(2299)))**2 + (sqrt(2299)*-1 + 2 - sqrt(2299)) + sqrt(2299) - ((sqrt(2299) - (-1 + sqrt(2299) + sqrt(2299))) + -3 + sqrt(2299) + 4)**2.
-33*sqrt(19) + 2298
Simplify ((3 + sqrt(448)*2 + 0)**2 - (2*sqrt(448) + 0 + sqrt(448))*6)*-2.
-3602 + 96*sqrt(7)
Simplify -5*(0 + (-3 + (sqrt(72)*1*-3)**2)*3).
-9675
Simplify -2*((sqrt(343) + sqrt(343) + -4*sqrt(343)*-2 + sqrt(343) - sqrt(343))**2 + sqrt(343) - (1*sqrt(343)*-3)**2).
-62426 - 14*sqrt(7)
Simplify (0 + (-1 + sqrt(25)/(sqrt(125) - sqrt(5)))*4 + 4)**2*-2.
-10
Simplify -2*1*(sqrt(475) - (sqrt(475) - (-2 + sqrt(475))**2))*-2*2*6.
-960*sqrt(19) + 22992
Simplify (sqrt(242)*1)**2 + 2 + 1 - -4*((sqrt(242)*-1)**2 + 2).
1221
Simplify ((6*sqrt(684)*-2)**2 - (sqrt(684) + 1)*2) + -3.
-12*sqrt(19) + 98491
Simplify (sqrt(1800)*-2)/(sqrt(80)/(sqrt(16)/sqrt(2)))*-2.
24*sqrt(5)
Simplify -4*(sqrt(45) - -6*sqrt(180))/(sqrt(1296) - -1*sqrt(1296)).
-13*sqrt(5)/6
Simplify 3 + (sqrt(18) - -3*sqrt(18) - sqrt(2))**2 + 5*(1*(-2 + sqrt(2)))**2.
-20*sqrt(2) + 275
Simplify (sqrt(288) + 0 + -5)*-3*-1 + 5.
-10 + 36*sqrt(2)
Simplify (-2*(sqrt(76) + (sqrt(76) - -2*sqrt(76)) - sqrt(76) - sqrt(76)) + sqrt(76)*-1*3)/(((sqrt(308) - (sqrt(308) + 3*sqrt(308)))/sqrt(7))/sqrt(11)).
7*sqrt(19)/3
Simplify (6*-2*sqrt(135))/(sqrt(189)/sqrt(112)).
-48*sqrt(5)
Simplify (2 + 3*sqrt(700)*-2 + (-3*(sqrt(700) + (1 + sqrt(700) - sqrt(700))) - sqrt(700)) + sqrt(700) + 1 + sqrt(700) + -5)**2*-6.
-268950 - 4800*sqrt(7)
Simplify sqrt(7) + (sqrt(7) + 3*sqrt(448))**2 + -1 - sqrt(63)/(2*sqrt(36)).
3*sqrt(7)/4 + 4374
Simplify (5 + -2*sqrt(637) - sqrt(637))**2 + sqrt(117)*-1*4.
-222*sqrt(13) + 5758
Simplify 2*(1*sqrt(66)*1)/(sqrt(12)/sqrt(2)*5).
2*sqrt(11)/5
Simplify (-6*(sqrt(847) + sqrt(847) + sqrt(847) + (sqrt(847) + 4 + sqrt(847))*3 + sqrt(847) + -5))**2.
55440*sqrt(7) + 3050964
Simplify ((sqrt(78) + 4*sqrt(78)*-1)/sqrt(3))/((sqrt(6) + 4*sqrt(54))/sqrt(3)).
-3*sqrt(13)/13
Simplify (sqrt(931)*-1*-1)**2 - (sqrt(19) + -1 + sqrt(684))*3.
-21*sqrt(19) + 934
Simplify ((sqrt(210) + 2*sqrt(210))/sqrt(5) + -1*sqrt(4200))/(4*(sqrt(294) + sqrt(294)*2 + sqrt(294))).
-sqrt(7)/16
Simplify ((sqrt(24)/sqrt(4)*6)/(sqrt(432)*4 + sqrt(432)))**2.
1/50
Simplify 5*(4*-1*sqrt(9)/sqrt(3) + sqrt(432) + 1*sqrt(432)*1)**2.
6000
Simplify -5*(-2 + -6*(sqrt(72) + sqrt(72)*-4 - sqrt(72))).
-720*sqrt(2) + 10
Simplify (-5*((5*sqrt(288) - sqrt(288) - sqrt(288)) + sqrt(288) + sqrt(2)*3*-4))**2.
64800
Simplify (2 + sqrt(252)*5)**2 + -2 + sqrt(252)*-3.
102*sqrt(7) + 6302
Simplify (5 + 3*3*(1 + sqrt(891) + (sqrt(891) - sqrt(891)*1)))**2.
2268*sqrt(11) + 72367
Simplify 2*(1 + sqrt(245))**2 + sqrt(245) + 3 + (sqrt(5) + (2*sqrt(55))/sqrt(11) - sqrt(5))**2.
35*sqrt(5) + 515
Simplify ((-6*(sqrt(30) + sqrt(210)/(sqrt(14)/sqrt(2))))/(4*sqrt(2940)/sqrt(10)))**2.
45/49
Simplify 0 + ((sqrt(114) - sqrt(114)*1)*-6 + sqrt(114))/((sqrt(60)*-2)/sqrt(10)).
-sqrt(19)/2
Simplify ((sqrt(456) + (sqrt(456) + -2*sqrt(456) - sqrt(456)))/sqrt(12) + (sqrt(304)/(sqrt(16)/sqrt(2)) - sqrt(38)))/(sqrt(128) - 1*sqrt(128)*6).
sqrt(19)/40
Simplify (-5*-1*sqrt(98)*2 + (sqrt(98)*2 + 3)**2*4)*-1.
-1604 - 406*sqrt(2)
Simplify (3*-2*sqrt(130))/(sqrt(10) + (sqrt(10) - (sqrt(270)/sqrt(3) + sqrt(10)))).
3*sqrt(13)
Simplify (6*sqrt(36)*3)/(sqrt(33)/(-2*sqrt(11) + sqrt(11)) - (sqrt(3) - sqrt(243)*-1)).
-36*sqrt(3)/11
Simplify -6*(sqrt(11) + sqrt(33)/(sqrt(9)/sqrt(3)) + sqrt(176) + -5 + ((sqrt(11) + 5*sqrt(11)*-1)**2 - sqrt(33)/sqrt(3)*5)).
-1026 - 6*sqrt(11)
Simplify 3 + (-1*sqrt(125) + -3 + -1 + sqrt(125) + 0 + sqrt(125) + sqrt(125))**2.
-80*sqrt(5) + 519
Simplify ((sqrt(275)*-5)**2 - (-2*(sqrt(11) + -1) + sqrt(11))) + -5 + 5.
sqrt(11) + 6873
Simplify 5*1*(sqrt(18)/(2*sqrt(6)*6))**2.
5/48
Simplify -4*(sqrt(1539)*4 - sqrt(1539)) + (-2*(sqrt(1539) + 1))**2.
-36*sqrt(19) + 6160
Simplify (-4 + 5 + -2 + sqrt(567) + 0 + 4)*2.
6 + 18*sqrt(7)
Simplify (sqrt(50)/(sqrt(24)/(sqrt(48)/sqrt(4))))/(5*1*sqrt(245)).
sqrt(5)/35
Simplify ((-3 + sqrt(19) + -1)*6 + 1*1*-1*sqrt(19))**2.
-240*sqrt(19) + 1051
Simplify -4*(-3 + (sqrt(110)*6*4)/sqrt(10)).
-96*sqrt(11) + 12
Simplify -6*-1*((sqrt(1375)*1)/sqrt(5) + (sqrt(11)*2*-4 - (sqrt(11) + -1 + -5)))**2.
-288*sqrt(11) + 1272
Simplify -1*(((sqrt(13) + -3)*-2)**2 + -4)*-3.
-72*sqrt(13) + 252
Simplify 0 + ((4*-1*sqrt(288))/sqrt(8))/((-5*-1*sqrt(120) + sqrt(120))/sqrt(10)).
-2*sqrt(3)/3
Simplify (sqrt(1088) - ((sqrt(1088)*1 + sqrt(1088))*1)**2) + -2*sqrt(1088)*4 + 4.
-4348 - 56*sqrt(17)
Simplify (-3*(sqrt(99) - sqrt(99)*-2))/(sqrt(45)/sqrt(20)).
-18*sqrt(11)
Simplify ((-1*sqrt(136))/sqrt(8) - (sqrt(833) + -1)) + (sqrt(170)*-3*-3)/sqrt(10).
1 + sqrt(17)
Simplify (sqrt(1900)*4 + 5 + -1 + sqrt(1900) + sqrt(1900) + 1 + sqrt(1900) + sqrt(1900))**2.
800*sqrt(19) + 121625
Simplify ((-4*4*sqrt(136))/(6*sqrt(72)/sqrt(9)))**2.
1088/9
Simplify (sqrt(540) - sqrt(540)*-3*1)/(1*(2*sqrt(180) + sqrt(180))).
4*sqrt(3)/3
Simplify (((2*sqrt(128))/sqrt(8))/sqrt(8))**2 + (sqrt(800)*-1)**2.
808
Simplify ((sqrt(18) + (sqrt(18) - (sqrt(18) + sqrt(72)/sqrt(4) + sqrt(18))*-6))/sqrt(2))/(-2*2*sqrt(3)*-2).
5*sqrt(3)/2
Simplify (0 + ((1 + sqrt(1300))*5*-5 - (3 + sqrt(1300) + sqrt(1300)*1 + 2)))**2.
16200*sqrt(13) + 948600
Simplify (2 + sqrt(208) - (-1 + sqrt(832))**2 - (sqrt(13) - (sqrt(52) + -2 - sqrt(13)))*1) + 1.
-832 + 20*sqrt(13)
Simplify ((sqrt(144)/sqrt(3)*5)/sqrt(2))/(sqrt(32) + -1*sqrt(2592)).
-5*sqrt(3)/16
Simplify -4*(3 + sqrt(704)) - (((sqrt(99)/sqrt(3) - sqrt(33))/sqrt(3))**2 - ((sqrt(176) - (sqrt(176) - (sqrt(176)*2 + sqrt(176)))) + sqrt(176) + sqrt(176))**2).
-32*sqrt(11) + 4388
Simplify (sqrt(70) + -4*sqrt(70)*-1)/(sqrt(640)*1 + sqrt(10)).
5*sqrt(7)/9
Simplify ((-4*(sqrt(275) - -3*sqrt(275)))/sqrt(5))/(-2*-2*sqrt(80)).
-sqrt(11)
Simplify 0 + (1*(sqrt(192))**2 + sqrt(12) + (sqrt(12) - (sqrt(108) + -1))**2)*-5.
-1205 + 30*sqrt(3)
Simplify ((2*sqrt(352))/(6*sqrt(4)/sqrt(2) - sqrt(2)) + 2)**2.
32*sqrt(11)/5 + 804/25
Simplify 0 + (6*sqrt(156)*2)/(sqrt(48)/(sqrt(4)*5 + sqrt(4))).
72*sqrt(13)
Simplify 5 + ((sqrt(275) + 0 + sqrt(275))*2)**2 + 2 + -2 + sqrt(275)*-2 + (-1 + sqrt(275) + sqrt(275))**2 + -5.
-30*sqrt(11) + 5501
Simplify 3 + 3 + sqrt(147) + (sqrt(3) - -1*sqrt(75))**2 + -4.
7*sqrt(3) + 110
Simplify ((5 + -1*sqrt(304) + 2 + 0)*3 + 3)**2.
-576*sqrt(19) + 3312
Simplify (sqrt(136) - (sqrt(136) - sqrt(136)*-1*1) - sqrt(136) - -2*(-1*sqrt(136) - sqrt(136)))/(sqrt(968) + sqrt(968) + sqrt(968
|
{
"pile_set_name": "DM Mathematics"
}
|
(-2 + 3)). What is q rounded to the nearest 100?
-700
Let q = -9.5932 + 9.6. Round q to 3 dps.
0.007
Let z = -0.06 + 0.835. Let u = 4 - 4.7. Let m = u + z. What is m rounded to two decimal places?
0.08
Let y = -147 - -954. Let w = y + -1607. Round w to the nearest one hundred.
-800
Let q = 1.8 - 1.3. Let c = 3.9 + q. What is c rounded to zero dps?
4
Let a = -51.9999897 - -52. Round a to 6 decimal places.
0.00001
Let v(y) = -13*y**2 - 7*y + 4. Let f be v(-5). Round f to the nearest ten.
-290
Suppose -8*i = -4*i - 840. Round i to the nearest 100.
200
Let b = -6 - -2. Let l(y) = 6*y**2. Let q be l(1). Let h be b/q - (-420)/9. What is h rounded to the nearest ten?
50
Suppose -2*n + n = -3. Let t(r) = -90*r**2 + 2*r + 4. Let l be t(n). What is l rounded to the nearest 1000?
-1000
Let u = 603 - 191. Suppose 6 = k - 5*q + 109, 4*k - 4*q + u = 0. What is k rounded to the nearest 10?
-100
Suppose 5*y = -15, -l + 6*l + 3*y = -424. What is l rounded to the nearest ten?
-80
Let d = -97 - -99.7. Round d to one decimal place.
2.7
Let l be (-16)/(-6) - (-2)/(-3). Suppose l - 4 = -f. Let k be ((-15)/2)/(f/800). Round k to the nearest 10000.
0
Let h = -9.094 - -9. Let t = -0.18 - h. What is t rounded to two dps?
-0.09
Let l = -259 - -259.0133. Round l to three decimal places.
0.013
Suppose 0*c - c - 4*t + 1510 = 0, 7460 = 5*c + 2*t. What is c rounded to the nearest 1000?
1000
Let i = -6028.115 + 6058. Let p = i + -30. Round p to two decimal places.
-0.12
Let f be (-250)/4*(-2752)/40. What is f rounded to the nearest one thousand?
4000
Let g = -1.12 - 14.98. Let d = 792648.10093 - 792632. Let o = d + g. What is o rounded to 4 decimal places?
0.0009
Let g(s) = -2*s**2 + s + 4. Let r be g(0). Let h be 10 - -1 - 12/r. What is h rounded to the nearest integer?
8
Suppose 0 = -5*c + 4*n - 38, -4*c - 15 = n + 7. Let g be c/(-2*(-2)/(-36000)). Round g to the nearest 10000.
50000
Let c = 55.00000078 - 55. Round c to 7 decimal places.
0.0000008
Let p = 0.2321 + -0.25. Round p to three decimal places.
-0.018
Let i = 0.03 + -0.029924. Round i to five dps.
0.00008
Let n = 2.1 - 0.6. Let d = -0.1 - n. Let v = 1.6072 + d. Round v to 3 decimal places.
0.007
Let c = -2.01 + 0.01. Let z = c - -2.00036. What is z rounded to four decimal places?
0.0004
Let i = -25.8 - -579.8. Let o = -308 + i. Let g = 245.899 - o. Round g to 2 decimal places.
-0.1
Let z = 0.77179 + -0.07169. Let v = -0.7 + z. Round v to four dps.
0.0001
Let y = -4 + 7. Suppose 0*s + 13796 = -y*s - 4*x, -3*x = -4*s - 18403. What is s rounded to the nearest one thousand?
-5000
Let y(q) = -q**3 + 6*q**2 - q + 4. Let x be y(7). Let h be (x - -2)/(4/13600). What is h rounded to the nearest one hundred thousand?
-200000
Let a = 0.08 + 0.12. Let n = 0.2002 - a. What is n rounded to 4 decimal places?
0.0002
Suppose 3*t = -5*f + 21, -2*f = 5*t - 17 + 1. Suppose 3*a + 185 = 3*w - a, -w = -t*a - 59. What is w rounded to the nearest ten?
70
Let s be -2000*((12/16)/(-1) - 3). What is s rounded to the nearest 1000?
8000
Let f = -11.82 + 12. Let u = 39352.88 + -39352.6999957. Let n = f - u. What is n rounded to 6 decimal places?
-0.000004
Let s = 622.00000431 - 622. What is s rounded to 6 decimal places?
0.000004
Suppose 2*d - 3*x = 46591, 116415 = 5*d - x + 6*x. Let y = d + -84496. Let o = y + 19208. What is o rounded to the nearest 10000?
-40000
Suppose 0 = -3*i + 3*c - 126 - 171, -2*c + 392 = -4*i. Let a be i + 2/(-2) + -2. What is a rounded to the nearest one hundred?
-100
Suppose -5*b + 44815675 = t + 4*t, -4*b = -5*t + 44815675. Suppose 3*h + 21936865 + t = 0. What is h rounded to the nearest 1000000?
-10000000
Let w = -234 + 87. Let m = 147.00000119 + w. Round m to 7 decimal places.
0.0000012
Let a = -0.04 - 19.96. Let t = 20.000124 + a. What is t rounded to five decimal places?
0.00012
Let h = -3.4 - -3.399212. What is h rounded to 4 dps?
-0.0008
Let f be ((-20)/1)/((-13)/21385000). Round f to the nearest one million.
33000000
Let j = 0.195 - -0.046. Round j to two decimal places.
0.24
Let q be 952 - (-1 + (-1 - -1)). Let j = q - 463. Round j to the nearest 100.
500
Suppose 150 = 9*p - 6*p. What is p rounded to the nearest ten?
50
Let i(y) = -83*y**3 - y**2 + 2*y - 6. Let v be i(-7). What is v rounded to the nearest 10000?
30000
Let p = 54 + 14. Let l = -68.0039 + p. Round l to three dps.
-0.004
Let w = 99.1 + -81. Let h = w - 18.0999893. What is h rounded to 6 decimal places?
0.000011
Let l be 9/(-18) - (-11)/2. Suppose 4*g - l*a + 63999995 = 0, 2*g + 24919785 = 3*a - 7080212. What is g rounded to the nearest one million?
-16000000
Suppose -7*f = -9*f - 80. What is f rounded to the nearest one hundred?
0
Let m = -2276.497433 + 2471.4974213. Let s = -195 + m. Round s to six decimal places.
-0.000012
Let i = -0.06 - -0.16. Let n = 18 - 16.7. Let c = i - n. Round c to zero dps.
-1
Let x = 640.44 - 667. Let c = 27 + x. What is c rounded to one dp?
0.4
Let g = -2.1 - -2.1000205. Round g to 6 dps.
0.000021
Let c be (-8)/2 + -1 + 3. Let t be (-3 - c)/(1/178). Let w = -119 - t. Round w to the nearest 10.
60
Suppose 5*r - 1315361 = 3134639. What is r rounded to the nearest one hundred thousand?
900000
Let h = 1.296 - 1.19. Let m = 0.159 - h. Let p = m - 0.05300023. Round p to seven dps.
-0.0000002
Let u = 65958519.9999988 + -65958508. Let t = u - 12. What is t rounded to 6 dps?
-0.000001
Let r = -912.9396704 + 0.6762704. Let s = r + 912. Let m = -0.27 - s. Round m to 3 dps.
-0.007
Suppose -z + 0*z = 2*u - 3, -5*z = 3*u - 1. Let i = u - -2. Let v be i/6 - 1800012/18. Round v to the nearest one hundred thousand.
-100000
Let a = -99 - -99.061. What is a rounded to 2 dps?
0.06
Let i = -12.59749 - -12.6. Round i to 4 dps.
0.0025
Let d = 289652 - 191652. What is d rounded to the nearest 10000?
100000
Let t be (3/(-2))/((-3)/6). Suppose h + 2*h = t. Let k be ((-4)/8)/(h/(-16600000)). What is k rounded to the nearest one million?
8000000
Let r = 12.9000148 - 12.9. Round r to 6 dps.
0.000015
Let v = -112203 + 218203. Suppose -2*y = -0*y - v. What is y rounded to the nearest ten thousand?
50000
Let c = -25 + 16. Let o = c - -14. Suppose 4*f + 5*d = -168, 3*d - 201 = o*f + 7*d. Round f to the nearest ten.
-40
Let q = -3027538.93693837 - 0.06306163. Let i = -3027541.999998 - q. Let m = -3 - i. Round m to six dps.
-0.000002
Let u = -68 - -42. Let r = 40 + u. Let j = r + -14.65. What is j rounded to 1 decimal place?
-0.7
Suppose -4*i + q = 3*q - 10, -5*i - q + 5 = 0. Suppose 4*c - 2*f + 2050 = 0, -c - 4*f + f - 495 = i. Round c to the nearest 100.
-500
Let w(s) = -3 + 844444*s + 0 + 5 + 2. Let y be w(9). What is y rounded to the nearest 1000000?
8000000
Let b = -14396059668020 - -14396068348280.999993. Let a = b + -8680255. Let x = a - 6. What is x rounded to 5 decimal places?
-0.00001
Let s(a) be the third derivative of 0 + 0*a + 1/120*a**6 + 3*a**2 + 0*a**5 - 1/6*a**3 + 0*a**4. Let h be s(1). Round h to one dp.
0
Let d = -4 - -3.9999392. What is d rounded to six dps?
-0.000061
Let n(m) be the third derivative of -580*m**6/3 - m**4/24 - 5*m**3/6 + 5*m**2. Let p be n(-5). Round p to the nearest one million.
3000000
Let b = -5 - -5. Suppose -5*f + 9*f + 5480000 = b. Round f to the nearest one hundred thousand.
-1400000
Let u = -4.936 - 3.036. Let s = -8 - u. Round s to two decimal places.
-0.03
Let p be (91579/2)/((-1)/2). Let l = 179579 + p. What is l rounded to the nearest 10000?
90000
Let t = -615.04 - -589. Let c = 25.9999976 + t. Let d = c - -0.04. Round d to six dps.
-0.000002
Let z = 9485795 - 2485795. Round z to the nearest one million.
7000000
Let u = -173.28 + 168. Let x = 4.7 + 0.3. Let y = u + x. Round y to one decimal place.
-0.3
Suppose 18*g - 117 = 15*g. What is g rounded to the nearest 10?
40
Suppose 2*f - 4*f = 3*l - 8006, f + 3*l = 4006. What is f rounded to the nearest one thousand?
4000
Let f = -2.6000048 + 2.6. Round f to six dps.
-0.000005
Let c = 13 + -11.9. Let s = 251.0944 - 250. Let a = s - c. Round a to 3 decimal places.
-0.006
Let l = -12132757.7604358979 - -3764.2604377979. Let y = 12128995 + l. Let t = y + -1.5. Round t to 6 decimal places.
0.000002
Let t = -0.12 + 0.1152. Round t to 3 decimal places.
-0.005
Let i = 401851504.675079 + -398297118.64507974. Let y = -3554386 + i. Let m = y + -0.03. Round m to 7
|
{
"pile_set_name": "DM Mathematics"
}
|
/2 - 40785*j**2 - 11652*j = 0.
-3884, -1, -2/3, 0
Factor -5*t**2 + 2233430*t - 249410478245.
-5*(t - 223343)**2
Suppose -n**2 - 56326*n = 0. What is n?
-56326, 0
What is x in -6*x**3/5 - 1904*x**2/5 - 93154*x/5 - 6168 = 0?
-257, -60, -1/3
Determine b so that -34*b**4/7 - 3006*b**3/7 + 21120*b**2/7 - 15968*b/7 - 72960/7 = 0.
-95, -24/17, 4
Determine f, given that 3*f**4 - 78291*f**3 - 3*f**2 + 78291*f = 0.
-1, 0, 1, 26097
Solve 2*v**2/13 + 2534*v/13 - 28116/13 = 0 for v.
-1278, 11
Factor -2*h**2/3 + 5438*h/3 - 43376/3.
-2*(h - 2711)*(h - 8)/3
Factor -2*j**3 + 118*j**2 + 1618*j - 16422.
-2*(j - 69)*(j - 7)*(j + 17)
What is d in -3*d**3/8 - 25275*d**2/8 + 12642*d - 25287/2 = 0?
-8429, 2
Suppose r**4/5 + 123*r**3/5 - 1798*r**2/5 - 816*r = 0. Calculate r.
-136, -2, 0, 15
Let g**2/2 + 199*g/2 + 3822 = 0. What is g?
-147, -52
Solve 3*t**3 - 156*t**2 - 1203*t - 2124 = 0.
-4, -3, 59
Suppose q**3 - 336*q**2 - 3460*q = 0. What is q?
-10, 0, 346
Determine g so that -g**5 + 6230*g**4 - 9690744*g**3 - 38918826*g**2 + 87216777*g + 349764804 = 0.
-4, -3, 3, 3117
Suppose -4*g**2 + 6832*g - 2917264 = 0. Calculate g.
854
Factor c**2/4 + 3*c/4 - 1829/2.
(c - 59)*(c + 62)/4
Find g such that -25*g**4 + 4905*g**3 - 10680*g**2 + 1940*g = 0.
0, 1/5, 2, 194
Suppose g**4 - 202*g**3 - 3343*g**2 + 18868*g + 49476 = 0. Calculate g.
-19, -2, 6, 217
Let -2*r**4/13 + 4456*r**3/13 - 1575840*r**2/13 + 201538144*r/13 - 8787091808/13 = 0. What is r?
134, 1826
Suppose -5*n**4 + 335*n**3 + 187350*n**2 - 19238560*n + 19050880 = 0. Calculate n.
-206, 1, 136
Factor 2*i**2/3 - 239732*i/3 + 7183928978/3.
2*(i - 59933)**2/3
Suppose 46812964*v**4 - 340758968*v**3 + 621204324*v**2 - 3984320*v + 6400 = 0. Calculate v.
1/311, 40/11
Factor -w**3/3 + 334*w**2/3 + 335*w/3.
-w*(w - 335)*(w + 1)/3
Factor k**2/5 + 563304*k/5 + 79327849104/5.
(k + 281652)**2/5
Factor 4*h**3 + 510092*h**2 + 16262370572*h + 16261860484.
4*(h + 1)*(h + 63761)**2
Factor 2*d**3/9 + 362*d**2.
2*d**2*(d + 1629)/9
Suppose -6*h**5/7 - 2556*h**4/7 - 77160*h**3/7 - 594960*h**2/7 + 308736*h/7 + 2420736/7 = 0. What is h?
-394, -16, -2, 2
Find g such that g**5/7 + 65*g**4/7 - 6600*g**3/7 + 112500*g**2/7 = 0.
-125, 0, 30
Find x such that -x**2/4 - 1588*x - 145567/4 = 0.
-6329, -23
Factor -2*v**2/21 - 2930*v/21 - 275528/21.
-2*(v + 101)*(v + 1364)/21
Suppose o**3/4 - 53*o**2/4 + 767*o/4 - 2635/4 = 0. What is o?
5, 17, 31
Factor -4*v**2 - 2744*v + 128480.
-4*(v - 44)*(v + 730)
Suppose 5*t**2 + 877455*t - 877460 = 0. What is t?
-175492, 1
Factor -2*c**2/5 + 2532*c/5 + 209664/5.
-2*(c - 1344)*(c + 78)/5
Find r such that -r**4 + 974*r**3 - 4844*r**2 - 974*r + 4845 = 0.
-1, 1, 5, 969
Find x, given that x**4 - 205*x**3 + 4749*x**2 + 10117*x + 5162 = 0.
-1, 29, 178
Determine y, given that -4*y**3 + 220*y**2 + 7252*y - 412972 = 0.
-43, 49
Factor 4*n**3 - 29896*n**2 - 299260*n - 748400.
4*(n - 7484)*(n + 5)**2
Factor 5*f**2 + 238270*f + 2838629645.
5*(f + 23827)**2
Factor -4*f**4/5 - 824*f**3/5 - 46356*f**2/5 - 80752*f - 192080.
-4*(f + 5)**2*(f + 98)**2/5
Determine z so that -z**2/2 + 163*z - 11984 = 0.
112, 214
Factor -2*p**2/11 + 45296*p/11 - 90584/11.
-2*(p - 22646)*(p - 2)/11
Suppose 25*r**4 - 1204585*r**3 - 4336770*r**2 - 2891260*r + 1927480 = 0. Calculate r.
-2, 2/5, 48187
Solve -2*k**3 - 1194*k**2 + 1196*k = 0.
-598, 0, 1
Let 4*d**3 - 4512*d**2 + 109836*d + 511792 = 0. What is d?
-4, 29, 1103
Factor -4*h**4 - 36484*h**3.
-4*h**3*(h + 9121)
Determine d, given that -2*d**3 + 676*d**2 - 10270*d - 10948 = 0.
-1, 17, 322
Determine b so that -3*b**2/5 + 46971*b/5 = 0.
0, 15657
Solve -v**4/5 - 132*v**3/5 - 5147*v**2/5 - 12084*v + 13140 = 0 for v.
-73, -30, 1
Factor -4*p**3 - 35404*p**2 + 141664*p - 141680.
-4*(p - 2)**2*(p + 8855)
Determine r so that 2*r**2/5 + 70894*r/5 + 567024/5 = 0.
-35439, -8
Solve 21*b**5 + 1632*b**4 + 10116*b**3 + 7098*b**2 - 25257*b + 6390 = 0 for b.
-71, -5, -3, 2/7, 1
Find n, given that 5*n**2/2 + 7355*n + 10819205/2 = 0.
-1471
Determine t so that 4*t**2/3 - 60296*t/3 + 227225476/3 = 0.
7537
Suppose 2*b**5/9 - 248*b**4/9 + 9754*b**3/9 - 127756*b**2/9 + 176384*b/3 - 75712 = 0. What is b?
3, 14, 52
Factor -3*h**2 + 6381*h + 908922.
-3*(h - 2261)*(h + 134)
Factor 2*k**2/3 - 16826*k/3.
2*k*(k - 8413)/3
Solve 5*z**3/4 - 250271*z**2/4 + 3131803699*z/4 - 626350729/4 = 0 for z.
1/5, 25027
Factor -4*h**5 + 8224*h**4 - 4259904*h**3 + 33685504*h**2 - 67108864*h.
-4*h*(h - 1024)**2*(h - 4)**2
Factor 5*y**3 - 4633695*y**2 + 1073554150800*y + 1073558784500.
5*(y - 463370)**2*(y + 1)
Find g, given that 2*g**5/3 - 250*g**4/3 + 1356*g**3 - 7848*g**2 + 15408*g = 0.
0, 6, 107
Suppose -3*t**3 + 267*t**2 - 4248*t + 7452 = 0. Calculate t.
2, 18, 69
Determine x, given that 4*x**5 + 174*x**4 + 1446*x**3 - 10052*x**2 + 4800*x + 16128 = 0.
-24, -1, 2, 7/2
Suppose -12*n**5 + 568*n**4 - 4136*n**3 + 9392*n**2 - 7372*n + 1560 = 0. Calculate n.
1/3, 1, 2, 5, 39
Determine w so that -2*w**3 + 438*w**2 + 29232*w - 7811208 = 0.
-129, 174
Solve 3*n**4/8 - 165*n**3/8 - 426*n**2 = 0 for n.
-16, 0, 71
Let -63597*f**4/7 - 122692*f**3/7 - 54601*f**2/7 + 4486*f/7 - 8/7 = 0. Calculate f.
-1, 4/2193, 2/29
Determine m, given that 3*m**4/5 + 129*m**3/5 + 1239*m**2/5 + 2103*m/5 + 198 = 0.
-30, -11, -1
Suppose -3*s**2 + 27852*s + 139335 = 0. What is s?
-5, 9289
Suppose -2*k**5/11 + 2*k**4/11 + 42*k**3/11 - 82*k**2/11 + 40*k/11 = 0. What is k?
-5, 0, 1, 4
Factor -2*f**3/9 + 236*f**2/9 + 47950*f/9 - 1951976/3.
-2*(f - 137)**2*(f + 156)/9
Factor -2*l**2/9 - 14200*l/9 - 239666/3.
-2*(l + 51)*(l + 7049)/9
Factor -2*i**3/3 - 554*i**2/3 - 20336*i/3 + 914464.
-2*(i - 51)*(i + 164)**2/3
What is k in -30*k**5 + 365*k**4 + 30*k**3 - 1155*k**2 + 910*k - 120 = 0?
-2, 1/6, 1, 12
Let -594075*s**3/8 + 602085*s**2/4 - 8037*s/2 + 27 = 0. What is s?
6/445, 2
Factor 2*v**4 + 12*v**3 - 72*v**2 - 368*v - 384.
2*(v - 6)*(v + 2)**2*(v + 8)
Find x, given that -4*x**3 - 1400*x**2 + 17376*x = 0.
-362, 0, 12
Suppose -28*i**5 + 404*i**4 - 1148*i**3 + 1036*i**2 - 264*i = 0. Calculate i.
0, 3/7, 1, 2, 11
Solve -2*z**3/5 + 5998*z**2/5 - 166768*z/5 + 1164632/5 = 0 for z.
14, 2971
Determine h so that -h**2/5 + 554*h - 2769/5 = 0.
1, 2769
Find g such that 2474*g**4/5 - 7418*g**3/5 - 22278*g**2/5 - 12406*g/5 - 4 = 0.
-1, -2/1237, 5
Let 14*x**5/5 + 276*x**4/5 + 1474*x**3/5 + 2076*x**2/5 - 144*x = 0. What is x?
-12, -5, -3, 0, 2/7
Determine f, given that -f**2/8 + 1469*f/8 + 10381/4 = 0.
-14, 1483
Determine f, given that 1250*f**5/3 + 2050*f**4/3 - 18172*f**3/3 - 44984*f**2/3 + 6032*f/3 + 53824/3 = 0.
-58/25, -2, 1, 4
Find r such that r**2/5 + 327*r/5 + 2538 = 0.
-282, -45
Suppose 522242*s**2/11 + 813512*s/11 + 316808/11 = 0. Calculate s.
-398/511
Factor -4*i**3 + 2134484*i**2 - 284750304396*i - 284752438884.
-4*(i - 266811)**2*(i + 1)
Solve -4*i**2 + 3801728*i - 903320986624 = 0.
475216
Determine d so that -d**2 - 521*d - 6604 = 0.
-508, -13
Suppose 9120*n**3 + 3224*n**2 - 652*n + 8 = 0. Calculate n.
-1/2, 1/76, 2/15
Solve 50*w**4/9 + 134*w**3/3 + 256*w**2/3 - 352*w/9 - 256/3 = 0 for w.
-4, -1, 24/25
Factor 4*d**4 - 2396*d**3 + 357592*d**2 + 364800*d - 720000.
4*(d - 300)**2*(d - 1)*(d + 2)
Find a, given that 272*a**2/7 - 46084*a - 4744/7 = 0.
-1/68, 1186
Factor 4*w**4 - 2704*w**3 + 49272*w**2 + 137803952*w + 10388909476.
4*(w - 451)**2*(w + 113)**2
Determine v so that -10*v**4 + 1605*v**3 + 10775*v**2 + 13335*v + 4175 = 0.
-5, -1, -1/2, 167
Find r, given that 2*r**2/7 - 16364*r/7 - 2338 = 0.
-1, 8183
What is f in f**3/3 + 48196*f**2/3 - 96401*f + 144606 = 0?
-48202, 3
Let -40*k**3 - 402*k**2 + 420*k + 22 = 0. What is k?
-11, -1/20, 1
Solve -2*p**2/7 + 15424*p - 208162304 = 0.
26992
Determine i, given that 5*i**3 - 335*i**2 + 3235*i + 25175 = 0.
-5, 19, 53
Find z, given that -z**4/7 + 124*z**3/7 - 1835*z**2/7 + 1712*z/7 = 0.
0, 1, 16, 107
Determine r so that 4*r**3 - 620*r**2 + 28288*r - 402288 = 0.
34, 87
Suppose -4*a**5 - 44*a**4 - 60*a**3 + 140*a**2 + 304*a + 144 = 0. Calculate a.
-9, -2, -1, 2
What is m in -5*m**2/3 + 156140*m/3 - 1218984980/3 = 0?
15614
Let 4*i**5/3 + 3340*i**4/3 + 705508*i**3/3 + 3451108*i**2/3 + 1351240*i/3 - 5511200/3 = 0. Calculate i.
-415, -4, -2, 1
Factor -6*g**5/7 - 14058*g**4/7 - 42138*g**3/7 - 6018*g**2 - 14040*g/7.
-6*g*(g + 1)**3*(g + 2340)/7
Determine v so
|
{
"pile_set_name": "DM Mathematics"
}
|
v**3 - 4*v**2 + v - 3. Let w(i) = 2*i**2 - 2*i**2 + i**3. Let a be (2/(-8))/(3/(-12)). Let l(d) = a*q(d) + 6*w(d). Determine l(-3).
-15
Let z(k) be the first derivative of k**2 - 6*k - 5. Suppose -33*t = -23*t - 60. Give z(t).
6
Suppose -5*o - 4*z + 55 = 0, -2*o + 3*z - 24 + 69 = 0. Let s(c) = -c**3 + 16*c**2 - 16*c + 12. Determine s(o).
-3
Let v(d) be the second derivative of -d**4/12 - 3*d**2 - 125*d. Determine v(5).
-31
Let v(h) = 66*h + 11. Let i(p) = -17*p - 3. Let u(t) = -11*i(t) - 3*v(t). What is u(3)?
-33
Let b = 32 - 32. Suppose -3*h + 2*q = -7, 0 = 5*q + 13 - 3. Let i(o) = 6 + 52*o - 51*o - h. Give i(b).
5
Let a(r) = -4*r - 40. Let x(m) = 12*m + 110. Let z(t) = -17*a(t) - 6*x(t). Calculate z(7).
-8
Let s be 10/3 - (-1)/(-3). Let t(d) = -2 + d - 1 + d**s + 2. What is t(0)?
-1
Let q(h) = -3*h + 2. Let j(y) = -y + 1. Let x(p) = -5*j(p) + 2*q(p). Let o = 281 + -282. Give x(o).
0
Let i(r) = -r**3 + 4*r**2 + 5*r + 2. Let d = -24 + 29. Let q be i(d). Let l(f) = f**3 - 3*f + 2. Calculate l(q).
4
Let b(o) = -15 + 4*o**2 - 731*o + 8*o**2 + 742*o + o**3. What is b(-11)?
-15
Let r(j) = -7*j + j**2 + 86 - 170 + 83. Let o(n) = -3*n. Let u be o(-2). Determine r(u).
-7
Let k(p) = 4*p - 106. Suppose 49*b - 55*b = -150. What is k(b)?
-6
Let y(s) be the first derivative of 3 - 3/2*s**2 + 1/4*s**4 + 1/3*s**3 + 3*s. What is y(2)?
9
Let q(s) be the second derivative of -s**4/12 - 5*s**3/6 - 2*s**2 + s. Let o be (32/(-24))/(2/(-27)). Suppose -o = 10*n - 4*n. Determine q(n).
2
Let c(y) = -y**3 - 6*y**2 - 6*y - 3. Let h be (20/(-3))/(4/6 + -1). Suppose 3*r + h = -r. Determine c(r).
2
Let u = 14 - 10. Let v(m) = -m**3 + 29*m**2 + 29*m + 32. Let r be v(30). Let s(a) = -r*a + a - a + u*a + 1. Determine s(1).
3
Suppose 0 = -19*d + 15*d + 24. Let z(v) = -6*v**3 - 8*v**2 + 4*v + 6. Let g(m) = 7*m**3 + 9*m**2 - 5*m - 7. Let j(q) = d*z(q) + 5*g(q). Give j(-3).
4
Suppose 5*y + 5*f - 10 = 0, 12*y - 7*y = 3*f + 18. Let j(w) = w + 4. Calculate j(y).
7
Let i = 2572 - 2574. Let b(m) = -23*m + 1. Determine b(i).
47
Let w(j) = 1 - 7*j**3 + 3*j**3 + 2*j**3 + 0. Let y(d) = -2*d**2 - 9*d + 57. Let s be y(-8). What is w(s)?
-1
Let m(f) = -f**3 - 39*f**2 - 38*f - 24. Let l be m(-38). Let a(c) = -c - 30. Calculate a(l).
-6
Let s(c) = -2*c + 4*c + 4*c + 22 - 4*c. Let b be s(-10). Let f(p) = 3*p - 2 + 6*p**2 - 2*p**2 - 4*p. Determine f(b).
12
Let g(d) = -d**3 - 6*d**2 - 6*d - 4. Let k be (-1254)/(-21) + 4/14. Suppose -j = j - k. Suppose -j = -t + 4*t + 5*s, 3*s - 16 = 5*t. Calculate g(t).
1
Let d = 320 + -190. Let a = 132 - d. Let c(w) = -2*w**3 + 2*w**2 + w + 1. What is c(a)?
-5
Let j(c) = -2*c**2 - 2*c + 2. Let p be ((-126)/56)/(1/4). Let s(l) = l**3 + 9*l**2 + l + 11. Let o be s(p). Suppose 5*u = o*u - 6. What is j(u)?
-2
Suppose -4*p - 2*s - 18 = 0, -6 = -p - 3*s - 13. Let k(h) = h. Let i(b) = 3*b - 6. Let j(o) = p*k(o) + i(o). What is j(-8)?
2
Let j(z) = 5*z + 1. Suppose 2*y - 3 = 3*m + 101, -2*m = 5*y + 44. Let g = m + 31. Calculate j(g).
-4
Let k(r) = r**3 + r**2 - 6*r + 3. Let z be k(0). Suppose l - 4 = z. Let p(a) be the first derivative of -a**2/2 + 8*a - 1. What is p(l)?
1
Let i(w) = w - 4. Let q be i(-4). Let m = q - -2. Let s(j) = 16 + 3*j - j**3 - 6*j**2 - 8 - 2*j. Give s(m).
2
Let m(o) = -3*o - 6. Let l(c) = c**3 + 8*c**2 - 9*c + 1. Let a be l(-9). Suppose 4*n + 5*w + 16 - a = 0, n + 3*w = -2. Determine m(n).
9
Let q(t) = -11 + 8 - t + 0. Let x(k) = -3. Let m(n) = 3*q(n) - 2*x(n). Calculate m(-3).
6
Let y = 161 - 116. Let r(l) = 50 - 94 + 2*l + y. Determine r(-5).
-9
Let i(v) = -v**3 - 3*v**2 + 4*v - 4. Suppose 2*d - 8 = 2*m, 4*d - 22 = 2*m - 4. Suppose 20 = -d*s + 4*k, 2*k = k. Give i(s).
-4
Suppose -4*y = -8, 0 = -5*k + 3*y + 16 - 7. Let q(a) = 5 - a**k - 7*a**2 + 18*a**2 + 8*a - 8*a**2 + 4*a**2. What is q(8)?
5
Let a(i) = -i + 3. Let c be a(-6). Let b(d) = -2*d - c - d**2 + 6 + 2*d**2 - 2*d**2. Determine b(-3).
-6
Let c = 5 - 4. Let z(p) = -p**3 + 7*p**2 - 7*p + 9. Let a be z(6). Let g(f) = 7*f - 10*f - a*f. Determine g(c).
-6
Let w(v) = -5*v**3 - v**3 - 4 + 3*v + 3*v**2 + 5*v**3. Let i(u) = -u**3 - 4*u**2 + 10*u + 19. Let j be i(-5). Let r be 3/(-2)*(j/1 + 4). Give w(r).
5
Let b = -59 + 61. Let f(q) = 0*q**b + q**2 - q**2 - q**2. What is f(1)?
-1
Let j be ((-5)/(-3))/(105/(-126)). Suppose 4*g - 5*q = -25, -3*g + 3*q + 0*q = 15. Let z(p) = 1 + g + 2*p - p**2 + 2. Determine z(j).
-5
Let w(t) = 3*t**2 - 18*t + 9. Let v(a) = 7*a**2 - 37*a + 21. Let p(b) = 4*v(b) - 9*w(b). Give p(-14).
3
Let q(m) = -2*m + 4. Let n(l) = 5*l - 21. Let b be n(5). Suppose d = -0*d + y + b, 10 = 3*d - 5*y. What is q(d)?
-6
Let a(p) be the first derivative of -5*p**4/24 - 8*p**2 - 2. Let c(i) be the second derivative of a(i). Suppose -2*r + r = w + 6, 0 = -4*r - w - 9. Give c(r).
5
Let x(t) = -4*t**3 + t**2 + t - 1. Suppose -6*i + 7 = i. Give x(i).
-3
Let l(g) be the second derivative of -g**5/20 + 5*g**4/12 - 2*g**3/3 + 7*g**2/2 + 81*g. Give l(5).
-13
Let v(d) = -16*d**3 - d**2 - d - 1. Let n(a) = 15 - a**2 - 3*a + 3*a**2 - a**2 + 13*a. Let g be n(-8). What is v(g)?
15
Let r(u) = -3*u**2 + 6*u - 8. Let s(d) = 12*d**2 - 2*d + 2*d - 13*d**2. Let i(w) = r(w) - 4*s(w). Calculate i(-6).
-8
Suppose -2*u = -0 - 12. Let v(o) = o + 9. Let y be v(-6). Suppose -9 + u = -y*z. Let w(t) = 8*t**3 - t**2. Give w(z).
7
Suppose 16 = 3*b + t, -b - 3*t + 13 = b. Let p(x) be the second derivative of 0*x**2 - 7*x + 0 - 1/6*x**3. Calculate p(b).
-5
Let r be (2/(-3))/(5/(-90)*3). Let b(w) = w**2 - 1. Let c(x) = 6*x - 8. Let q(v) = -2*b(v) + c(v). Calculate q(r).
-14
Let i(w) = -w**2 - 5*w + 3. Let h be -11 + 15 + (0 - -3). Suppose 9 = 4*l - h*l. What is i(l)?
9
Let g(i) = -3*i. Let c(p) = -9*p**2 + 7*p + 2 + 6*p - 5*p + p**3. Let x be c(8). Calculate g(x).
-6
Suppose 21 = -2*a + 3*a. Suppose -4*z - a = -7*z. Let r(u) = -u**3 + 8*u**2 - 7*u + 1. What is r(z)?
1
Let p(s) = s + 28. Let v be 2 + 33/(-21) - 12/28. Determine p(v).
28
Suppose -5*h + 10*h = n + 7, -n + 5 = h. Suppose k + 19 - 7 = -n*y, 4*k - 2*y + 6 = 0. Let d(a) = a**2 - 2. What is d(k)?
7
Let r = -21 + 25. Suppose -2*x + r = -x. Let h(s) = 1 + x - s - 1. What is h(5)?
-1
Suppose 97*n = 94*n + 9. Let v(k) = -2 + 11*k - 2 - 4*k + n. Suppose 4*t + x + 4*x + 16 = 0, -3*t + 23 = -5*x. Calculate v(t).
6
Suppose h - 35 = o, -o - 133 = -4*h - 4*o. Let m(x) = 20*x - h*x + 12*x. Calculate m(1).
-2
Suppose -3*z = -2*k + 24, 4*k = -z + 94 - 60. Let w(b) = b**2 - 4*b - 19. What is w(k)?
26
Let m(a) = -a + 1. Let o = 17 - 38. Let f = o + 14. Let w be 6/21 + (-26)/f. Give m(w).
-3
Let i(n) be the third derivative of n**5/60 - n**4/3 - n**3/2 - n**2. Suppose -6*o = 6*o - 1008. Let a be (-1)/(-3*4/o). Determine i(a).
-10
Let a(f) be the second derivative of f**6/720 + f**5/120 + f**4/3 + f. Let p(x) be the third derivative of a(x). Let r be 22/(-8) + 3/4. Calculate p(r).
-1
Let w be ((-6)/4 + 2)*2. Let p(r) = 5*r - 11. Let x(n) = 5*n - 9. Suppose 3*o + 4*g = 5*o - 28, -o + 18 = -3*g. Let s(k) = o*x(k) - 5*p(k). What is s(w)?
6
Let d(v) be the first derivative of -3*v**2/2 + 40*v + 530. Calculate d(12).
4
Let l = 1164/7 - 23273/140. Let s(p) be the second derivative of 0*p**2 + 1/4*p**4 + 0 + 6*p - l*p**5 + 1/6*p**3. Calculate s(2).
6
Let g(d) be the second derivative of d**5/20 - 2*d**4/3 + 11*d**3/6 - 3*d**2 - 5*d + 10. Determine g(7).
22
Let r(x) = 18*x. Let w(b) = 2*b**2 + 6*b - 10. Let p be w(1). What is r(p)?
-36
Let c(v) be the third derivative of 0*v + 8*v**2 - 1/24*v**4 + 0 - 1/6*v**3. What is c(4)?
-5
Let t = 24 + -28. Let m(l) = -32*l + 5 - 6 + 35*l. Calculate m(t).
-13
Let b(j) = -2*j**2 + 1. Suppose 3 = 3*n + w, -4*n + 62*w - 63*w = -5. What is b(n)?
-7
Let g(t) be the first derivative of 0*t**2 + 4*t + 29 + 1/3*t**3. Calculate g(-3).
13
Let v(c) = -c**3 + 4*c**2 + 2*c - 2. Let u be 188/(-235) + (-48)/(-10). What is v(u)?
6
Let d = -9 - 31. Let j be (10/d)/((-2)/40). Let c(r) = r**3 - 6*r**2 + 5*r - 2. Give c(j).
-2
Let z(v) = -4*v**3 + v**2 - 3*v - 6. Let f(k) = -3*k**3 + 2*k**2 - k - 6. Let n(a) = 3*f(a) - 2*z(a). Let t be -2*(-2)/4 + 3. Calculate n(t).
6
Let b(n) = 3*n**3 - 4*n**3 + 57*n + 6 - 58*n - 7*n**2. Let h be (-10)/(-25) + (-32)/5. Give b(h).
-24
Let f(i) = 25 - i - 34 + 2*i - 2*i + 23. What is f(6)?
8
Let u(o) = -19*o**3 + 2*o**2 - 1. Let m
|
{
"pile_set_name": "DM Mathematics"
}
|
t the prime factors of (-6)/(-21) + 108/o.
2
Suppose 5*v + 0*v = 90. Let a = -13 + v. What are the prime factors of a?
5
Suppose -8 = q - 1. Let o = -4 - 1. Let f = o - q. List the prime factors of f.
2
Suppose -5*p - 7 = -32. Let t(y) = 3*y**2 - 7*y + 1. List the prime factors of t(p).
41
Let t be 1*(-1 + 8/(-4)). Let k be (-46)/(-6) - (-2)/6. Let j = k + t. List the prime factors of j.
5
Let h be 2/(-10) + (-64)/(-20). List the prime factors of 1 - (h + -3 + -16).
17
List the prime factors of ((-6)/(-15))/((-1)/(-20)).
2
Let t(v) = -36*v + 2. Suppose 0*c = -4*c - 4. List the prime factors of t(c).
2, 19
Suppose 0*b - 24 = -4*b. Let q(f) = f**2 - 3*f + 7. List the prime factors of q(b).
5
Suppose 3*w + 4*g - 12 = -0*w, -w - 6 = -2*g. Suppose -3 = -2*q + 1. Suppose q*s = -w*s + 4. What are the prime factors of s?
2
Suppose 7*t - 30 = 6*t. Let q = -15 + 35. Let y = t - q. List the prime factors of y.
2, 5
Suppose w = -0*n + n - 2, -w - 4*n = -23. Suppose -3*s - 3*d + 15 = -6*d, -12 = -w*s + 2*d. List the prime factors of (-1*s)/((-4)/22).
11
Let v(h) = 4*h + 22. What are the prime factors of v(9)?
2, 29
Let v be 2/4 - (-30)/(-12). What are the prime factors of 184/10 - v/(-5)?
2, 3
Let d(p) = p**2 - 5*p + 1. Let t be d(5). Let w = 41 - 43. Let x = t - w. List the prime factors of x.
3
Let u be 16/(-1*(1 - 3)). Let p = -2 + u. Let v = p + 4. List the prime factors of v.
2, 5
Let d be (-4)/6 + (-7)/3. Let n(t) = -t**2 - 12*t - 13. Let i be n(-12). Let g = d - i. List the prime factors of g.
2, 5
Let c(v) = v + 1. List the prime factors of c(8).
3
Suppose 5*b - 37 = -2*r, 7*b = 2*r + 2*b + 13. What are the prime factors of r?
2, 3
Suppose 0 = -2*j + 61 + 1. List the prime factors of j.
31
Suppose -2*k - 2*c = c - 113, 4*k = 5*c + 215. List the prime factors of k.
5, 11
Let x(c) = -2*c**3 - 4*c**2 - c + 4. What are the prime factors of x(-5)?
3, 53
Suppose 0 = 3*k + 82 - 325. List the prime factors of k.
3
Suppose 0 = -2*y - 5*g + 181, 487 - 23 = 5*y + g. What are the prime factors of y?
3, 31
Let c = 216 + -88. Let v = -69 + c. List the prime factors of v.
59
Suppose 4*q - 3*n - 10 = -8*n, -3*q = 4*n - 8. Suppose q = 3*j - 28 + 7. List the prime factors of j.
7
Suppose 5*f - 3*o - 13 = 0, 5*f = 3*f - 2*o + 2. Suppose -f*r = r. Suppose 60 = 5*z - r*z. What are the prime factors of z?
2, 3
What are the prime factors of (-5)/(-4)*960/12?
2, 5
List the prime factors of (-5819)/(-33) + 0 + (-4)/(-6).
3, 59
Let u be (12/15)/(3/(-15)). List the prime factors of 4/(u/5 - -1).
2, 5
Let x(o) = -o**3 + 5*o**2 - 4*o + 3. Let v be (-14)/(-3) - (-10)/(-15). Let f be x(v). Suppose 0*j - 13 = -2*j - m, f*m + 49 = 5*j. List the prime factors of j.
2
Let j(k) be the first derivative of -k**3/3 - 4*k**2 - 3*k - 4. Suppose -2*t - 5*d = 17 + 10, 3*d = 2*t + 3. List the prime factors of j(t).
3
Let w(s) be the second derivative of 3*s + 5/12*s**4 + 0 + 1/20*s**5 - 1/2*s**2 + 1/3*s**3. What are the prime factors of w(-3)?
11
Suppose -7 + 21 = -2*v. Let x = v + 25. What are the prime factors of x?
2, 3
Let l = 77 + -24. What are the prime factors of l?
53
Let g be -53*(0/(-2) + -1). Suppose -5*f + g - 8 = 2*j, j = -5*f + 30. What are the prime factors of j?
3, 5
Let l be (-3)/9 - 26/(-6). Suppose l*r - 15 = r + 2*o, 3*r + o - 15 = 0. What are the prime factors of r?
5
Let z = -7 + -23. List the prime factors of -1 - z - 3/1.
2, 13
Suppose -1 - 19 = 5*d, 4 = 4*j + 4*d. Suppose -j*m + 1 = -24. List the prime factors of m.
5
Let u(t) = -t**2 - 4*t - 3. Suppose -5*l + l - 2*v = 12, -6 = 2*l - 3*v. Let z be u(l). Let w(o) = -o**3 + o**2 + 8. List the prime factors of w(z).
2
Let a = 414 - 257. What are the prime factors of a?
157
Let o(g) = 5*g - 7. List the prime factors of o(11).
2, 3
Suppose 161 + 541 = 3*z. What are the prime factors of z?
2, 3, 13
Let w(p) = -21*p - 31. List the prime factors of w(-12).
13, 17
Suppose -4*i + 2 = 2*b - i, -4*i = -3*b + 37. Let n(g) = -g + 9. Let s be n(b). Suppose -s*a - a = -5*c - 58, -2*a + 12 = 2*c. What are the prime factors of a?
11
Suppose -2*i + 0*i = -42. List the prime factors of i.
3, 7
Suppose -64 - 1 = -13*a. Let y(d) be the first derivative of -d**4/4 + 4*d**3/3 + 7*d**2/2 - 7*d + 1. What are the prime factors of y(a)?
3
Suppose 2*b - 4 = -2*b. Let o = 11 + b. What are the prime factors of o?
2, 3
Suppose k - 67 = -5*b + 94, 0 = 4*b - k - 136. What are the prime factors of b?
3, 11
Let k(j) = -5*j**3 - 14*j. Let o(r) = 6*r**3 + r**2 + 15*r + 1. Let z(x) = 7*k(x) + 6*o(x). List the prime factors of z(-7).
13
Let s(x) = x**2 - 3*x - 5. Let h(w) = w + 5. Let c be h(-3). Suppose c*b - 11 + 1 = 0. What are the prime factors of s(b)?
5
Suppose 2*t = -0*t + 90. Suppose x - t = -2*x. List the prime factors of x.
3, 5
Suppose -4*n - 2 - 2 = 0. What are the prime factors of n/2 - (-25)/2?
2, 3
Suppose 3*y - 81 - 114 = 0. What are the prime factors of y?
5, 13
Let h be 3/(-18)*-2*3. Let b = -9 - h. List the prime factors of (-2)/5 - 84/b.
2
Suppose 3*d = -2*v + 74, -2*v + 82 = -0*v - d. Suppose 5*s - 5*m = -v, -3*s + s + 4*m - 24 = 0. List the prime factors of (-30)/s + (-4)/8.
7
Suppose -6*o = -o. Suppose -3*k - 4*z + 16 = o, 2*k + 2*z - 6 = 4*z. List the prime factors of k.
2
Let c(y) = -5*y + 11 - 5 - 6. What are the prime factors of c(-2)?
2, 5
Let c be (3 - 4)*(-1 + 1). Suppose 2*k + 20 = 4*v, k = 2*v - 6*v + 32. Suppose c*o - o = -v. List the prime factors of o.
7
Let j = 7 - 5. List the prime factors of (-3 + j)/(3/(-6)).
2
Suppose -3*n + 2 = -3*y - 28, -y - 3 = 0. What are the prime factors of n?
7
What are the prime factors of (7*(-4)/6)/(2/(-3))?
7
Let q = -3 + 8. Suppose -2*k = -q*k - 12, -20 = -5*p - 5*k. What are the prime factors of p?
2
List the prime factors of 6/(-2)*1 + 37.
2, 17
Let l = -12 - -146. List the prime factors of l.
2, 67
Suppose 943 - 87 = -4*w. Let z be w/9 + (-4)/18. Let u = -15 - z. List the prime factors of u.
3
Suppose -4*n + 117 = 3*a, 3*a - 3*n = -13 + 109. Let l = a + -21. List the prime factors of l.
2, 7
Let a(m) = -m**3 + 4*m**2 - 2*m. Let y be a(4). What are the prime factors of (-95)/(-4) + 6/y?
23
Suppose -b - 3*y + 84 = -0*y, -4*b = 3*y - 327. What are the prime factors of b?
3
Let l(g) = -36*g + 1. Let o be l(1). Let i = -25 - o. List the prime factors of i.
2, 5
Suppose 30 + 42 = 2*q - z, 5*q - 177 = z. What are the prime factors of q?
5, 7
Let v(j) = -j**2 + 6*j + 4. Let o be v(6). Suppose o*p - 165 = 3*m, p - 24 = -0*p - 5*m. Suppose p = 2*d + d. What are the prime factors of d?
13
Let n = -10 - -14. Suppose 0 = -n*d - 0*d + 16. Suppose -d*l = x - 5*l - 1, -3*x - 4*l + 10 = 0. List the prime factors of x.
2
List the prime factors of ((-16)/12)/((-3)/90).
2, 5
Suppose -2*m + 2 + 14 = 0. Let h = -4 + m. What are the prime factors of 19/h - 2/(-8)?
5
Let l(y) = 6*y + 8. List the prime factors of l(2).
2, 5
Suppose -4*f - 13 = -5*f + 4*n, -2*f + 20 = -5*n. What are the prime factors of f?
5
Suppose 3*i = -3*a + 8 + 22, -4*i = -3*a - 5. Suppose l = -4*f - 3 + 59, 5 = -f - a*l. List the prime factors of f.
3, 5
Suppose b - 546 = -5*b. List the prime factors of b.
7, 13
Let i(s) = -s**3 + 17*s**2 - 16*s + 24. What are the prime factors of i(16)?
2, 3
Let f = 8 - 5. Suppose 3*j - 43 = -4*l, j - l = 9 + f. What are the prime factors of j?
13
Let s(o) = o**2 + 11*o + 9. What are the prime factors of s(-11)?
3
List the prime factors of 191 - 4*5/10.
3, 7
Suppose -2*m + 5*m - 15 = 0. Suppose -m*r - 6 = -2*r. Let p = 4 + r. List the prime factors of p.
2
Let k be (2/2)/((-4)/(-12)). Let x(l) = l**2 - 2*l + 1. Let n be x(k). Suppose -n*z = 3*a - 10, 5*z + 40 = 2*a + 3*a. What are the prime factors of a?
2, 3
Suppose 2*u + 101 = h, -3*h = -8*h - 3*u + 518. Let s = h - 55. Suppose -s = -7*v + 3*v. List the prime factors of v.
2, 3
Let i = 97 + -51. List the prime factors of i.
2, 23
What are the prime factors of (16/6)/2*51?
2, 17
Let a(l) = -l**3 + 5*l**2 + 6*l + 2. Let j be a(6). Suppose 0 = -j*n + 3*y - 3, 4*n + 0*n + 4*y - 44 = 0. List the prime factors of n.
2, 3
Let j be (40/(-3))/((-1)/(-3)). Let o = 57 + j. What are the prime factors of o?
17
Suppose 0*f + 186 = 6*f. What are the prime factors of f?
31
Let z(r) = r**3 + 2*r**2 - 3*r + 2. Let d be z(-3). Suppose 4*x - 56 = -d*c, 0 = -c - 1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
))/(3/(-6)). Suppose -x + 2*m = -b*m + 13, -m - 1 = -2*x. Let w be x - (3 + 0) - 4. Put w, -3, 3 in decreasing order.
3, -3, w
Let x be (-4)/(-22) + 4/(-22). Suppose 0 = -0*q + 4*q - 20. Suppose -q = -o + 3*w, -o + 3 - 4 = -w. Sort -2, o, x.
o, -2, x
Let p = 4 - 1. Suppose -f + p - 5 = 0. Suppose 27 = 4*v - 5*y - 0*y, -3*v - y = -6. Sort v, f, -3.
-3, f, v
Let v = -224/3 + 74. Let a = 1 + -1. Put 3, a, v in descending order.
3, a, v
Let s = -1 - -45. Suppose -3*l + 2*l = s. Let v be l/36 + (-2)/(-9). Sort v, 3, 1 in descending order.
3, 1, v
Let f be (-2)/12 - (5 - 610/60). Let z be 4/6 - 10/(-3). Put f, -4/3, z in increasing order.
-4/3, z, f
Let i(c) = c**3 + 5*c**2 - 7*c - 5. Let t be i(-6). Let h = t - -3. Suppose -3*d - 16 = -h*w, -d = -4*w - 0 + 8. Put -1, w, -2 in ascending order.
-2, -1, w
Let f = -26 - -30. Sort -2, -1, f, 5.
-2, -1, f, 5
Suppose 30 = -0*y + 10*y. Sort 2/5, 14/5, -1/4, y in descending order.
y, 14/5, 2/5, -1/4
Let o = -8 - -4. Let r be -3*o/6 - -2. Suppose -7*c = 3*t - 2*c, 12 = -3*t - c. Put t, -1, r in decreasing order.
r, -1, t
Let s = 11 - 5. Put -3, -1, s in descending order.
s, -1, -3
Let u = 0.3 - 1.3. Let w = 60.3 - 60. Sort u, -2/7, w in increasing order.
u, -2/7, w
Let x = 0.06 - 0.36. Let j = -1 + 1.5. Sort -5, j, x.
-5, x, j
Suppose i = -4*g, -5*i - 5*g = -10*g - 25. Suppose 0 = i*z - 2*z + 4. Sort 3, 7, z.
z, 3, 7
Suppose 4*n - n - 3 = 0. Let g(o) = -o**2 - 4*o + 5. Let b be g(-5). Let c = -33 - -36. Sort n, b, c in descending order.
c, n, b
Suppose 5*o + 34 = 3*h, 3*h + 2*o - 30 = 5*o. Let n(z) = -6*z - 1. Let d be n(2). Let t = d + h. Put 4, 5, t in decreasing order.
5, 4, t
Let l = -6 - -7. Let y be -1 + l + -4 + 2. Sort 2, 0, y.
y, 0, 2
Let a be (-2)/(-10) + 18/10. Let c = 2 + a. Sort -3, 5, c in decreasing order.
5, c, -3
Let c = 0.7 - -0.3. Let v = 1 - c. Let h = 5 + -2. Put v, 0.5, h in decreasing order.
h, 0.5, v
Let m = -24 + 22. Sort -4, 1, m in increasing order.
-4, m, 1
Suppose -t = 3*i - 18, -4*t - i + 37 = 4*i. Let f = -4 + 7. Let l = -2 + f. Put t, l, 2 in ascending order.
l, 2, t
Suppose 5*z = -5 - 5. Let f = z + -3. Put 5, f, 1 in descending order.
5, 1, f
Let b be -1*1/(-2)*0. Let n(j) = j**3 + 9*j**2 + 8*j + 9. Let s be n(-8). Suppose s*t + 13 = 4*t - 4*a, -a = -t + 1. Put 4, b, t in decreasing order.
4, b, t
Let r be (24/(-20))/(3/(-20)). Suppose -5*f - 21 = -4*n - r, -9 = -2*n + 3*f. Put n, 5, -4 in descending order.
5, n, -4
Suppose 2*t = 4*w - 0*w - 16, 12 = -2*t + 3*w. Let m = -7 - -11. Sort 1, m, t in ascending order.
t, 1, m
Let u(m) = -m - 6. Let k be u(-6). Suppose -2*o + 0 = 6. Let y = 18 - 13. Put k, y, o in increasing order.
o, k, y
Let p = 2.94 + 0.06. Sort -5, -6, p.
-6, -5, p
Suppose -5*f = -3*h, 7 = -f + 4*h - 2*h. Suppose -2 = x + f. Sort 5, -2, x in decreasing order.
5, -2, x
Let f = -0.4 - -0.3. Let q = 677 + -680.07. Let w = q - -0.07. Put w, -2/5, f in increasing order.
w, -2/5, f
Suppose 3 = h - 2. Sort 3, h, -4 in decreasing order.
h, 3, -4
Suppose -5*n = r + 26, 24 = r - 0*n - 5*n. Let o be (-2)/(-4) - (-47)/2. Suppose -5*c - 3*q - o = 0, 2*c + 6*q - 3*q + 15 = 0. Sort 0, r, c in decreasing order.
0, r, c
Suppose 0 = 3*q - b - 13, 1 = 2*q - 2*b - 13. Sort 0.6, -0.2, q in ascending order.
-0.2, 0.6, q
Suppose 3*z - 2 = z. Sort 2/7, -0.3, -0.2, z in descending order.
z, 2/7, -0.2, -0.3
Let h = 5 + 0. Let a be 2/5 + (-17)/h. Suppose 5*j = 3*r + 13, -3*j + r - 3 = -14. Sort a, j, 3.
a, 3, j
Let v be ((-2)/(-12))/(6/(-9)). Let l = -3 - -1. Put l, -2/3, v in descending order.
v, -2/3, l
Suppose -34*d + 39*d + 20 = 0. Sort -7, d, -6 in ascending order.
-7, -6, d
Let u(k) = k + 14. Let s be u(-10). Sort 0.5, s, 1/12, -1/5 in decreasing order.
s, 0.5, 1/12, -1/5
Let c be (3/6 + -1)*4. Sort c, 0.16, 4.
c, 0.16, 4
Let u = 2.7 + -1.78. Let g = u + 0.08. Let j be 2/4 + 3/(-2). Put 5, g, j in increasing order.
j, g, 5
Let i = -71.6 + 72. Sort i, -37, 0.1.
-37, 0.1, i
Let j = -0.7 - -5.7. Let k be (-14)/18 - (2 - 3). Sort k, j, 1 in descending order.
j, 1, k
Let p = 0.8 + -1.8. Let o = p - -2. Put 0.2, o, -3/4 in descending order.
o, 0.2, -3/4
Suppose m = -4*o + 3, 12 = -m + 5*m. Suppose o = -3*z + b + 10, 0 = -0*b - 3*b - 3. Sort 4, z, -3 in decreasing order.
4, z, -3
Suppose 0 = t - 0 - 2. Let g be 1/(-4) - 125/(-20). Let v = g - 6. Sort t, v, -5.
-5, v, t
Let r be ((-6)/54)/((-1)/2). Sort r, 4, -1 in descending order.
4, r, -1
Let t = 17 - 65/4. Let n = 5.8 + -1.8. Put t, n, -4 in decreasing order.
n, t, -4
Let b be 5/2*(-42)/(-35). Suppose 2*d = -1 - b. Put 1, d, -3 in descending order.
1, d, -3
Suppose -5*k + 14 = 4. Put -5, 3, k in ascending order.
-5, k, 3
Let a = 2.05 + -2. Let i = -16.45 + 16. Let s = i + a. Sort -2, s, 2.
-2, s, 2
Suppose -12 = -5*n - n. Sort 5, n, -1, -2 in descending order.
5, n, -1, -2
Let g = -137/91 - -14/13. Sort 0.1, g, 5/3 in decreasing order.
5/3, 0.1, g
Let r(w) = -3*w - 2*w + 6*w - 1. Let b be r(3). Sort -4, b, -1 in decreasing order.
b, -1, -4
Let g = 2.075 - 0.075. Put -2, -4/5, 3, g in decreasing order.
3, g, -4/5, -2
Suppose 0 = -r - r - 2. Let z(h) = -h**2 + 6*h + 8. Let n be z(7). Put n, -2, r in increasing order.
-2, r, n
Let k = -2.11 + 1. Let t = k - -0.11. Let b = 3 - 2.5. Sort b, 1, t in decreasing order.
1, b, t
Let k(z) = z + 6. Let i be k(-5). Let l be (4/62)/(i + 0). Let a = l - -19/186. Put -0.2, a, 0 in ascending order.
-0.2, 0, a
Let x = 38.63 + -39. Let v = -0.03 + x. Put v, -3, 0.5 in decreasing order.
0.5, v, -3
Let j(n) = n + 4. Let y = -17 + 11. Let h be j(y). Let v be 3 + 10/h + 3. Put -1, -5, v in decreasing order.
v, -1, -5
Let m = 0.73 + -0.23. Let n = -1 - -4. Put -1, n, m in ascending order.
-1, m, n
Let l(r) = -r**2 - 8*r - 8. Let f be l(-6). Sort 1, 5, -4, f in descending order.
5, f, 1, -4
Let v be (-4)/18 - 130/225. Let s = 8 + -7.7. Put -1/4, v, s in ascending order.
v, -1/4, s
Let h = 8 - 9. Sort 2/7, 1, h in increasing order.
h, 2/7, 1
Let q(g) = g**3 + 2*g**2 + 2*g - 5 - 4*g - g + 2. Let w be q(-2). Put w, 5, 4 in ascending order.
w, 4, 5
Suppose -6*z + 2*z + 24 = -2*h, -5*z = 3*h - 8. Let m be (z/(-8))/((-2)/(-16)). Sort 4, -5, m in increasing order.
-5, m, 4
Let b = -5/91 - -237/1001. Sort 0.2, -5, b in descending order.
0.2, b, -5
Let n = 6 + -4. Suppose -n*g - 12 = 4*z, 3*z + 2*g + 2 + 6 = 0. Sort 0.5, z, -1.
z, -1, 0.5
Suppose k = -3*a + 2*k - 71, 0 = 4*k + 4. Put 2, a, 1, 4 in decreasing order.
4, 2, 1, a
Let y(w) = -w**2 + 5*w - 8. Let a(q) = 2*q**2 - 10*q + 15. Let h(l) = 6*a(l) + 11*y(l). Let n be h(5). Put n, 4, 5 in decreasing order.
5, 4, n
Let u be (-4)/2 + (-9 - -9). Let a = 1 + -7/5. Let t be 4/(-30) + (-3)/(-9). Put t, u, a in decreasing order.
t, a, u
Let x = 0.9 + 3.1. Let r = 44 - 39.9. Let l = r - x. Sort l, -5, 4 in increasing order.
-5, l, 4
Let l(h) = 2*h**2 - 14*h. Let w be l(-7). Let m = 1375/7 - w. Sort 0, m, -3 in ascending order.
-3, 0, m
Let g = 91 + -90.8. Sort 3, g, 0.5, 2/7 in decreasing order.
3, 0.5, 2/7, g
Let m = 791/19214 - 2/739. Let q = -41106 - -5343837/130. Let x = m - q. Sort x, 0, 3 in decreasing order.
3, 0, x
Let f = -0.148 + -3.852. Put -0.16, -2, f, 1/5 in increasing order.
f, -2, -0.16, 1/5
Let b be (-4)/10 + (-2)/((-10)/7). Sort b, 4, 2 in ascending order.
b, 2, 4
Let u = -8 - -14. Let g = u + -9. Let n = 1.8 - 2. Sort g, 3/4, n.
g, n, 3/4
Suppose 2*a + 70 = 7*a. Suppose 5*p - 2*u + 4*u = 12, -a = -5*p - 4*u. Let l = 2.99 + 0.01. Put l, 0.4, p in decreasing order.
l, p, 0.4
Let l = 3 - 2.5. Sort 2, -2, l in descending order.
2, l, -2
Suppose -5*m + h = 106, -m - 4*h - 55 = -17. Sort -4, -3, m in descending order.
-3, -4, m
Let u = -0.33 - 0.67. Put 7, u, -0.2 in decreasing order.
7, -0.2, u
Suppose 0 = -u + 7 - 2. Suppose -12 = -5*l + 4*d, 3*l = d - 2 + u. Let f be l/(-1*(2 - 1)). Put f, 2, 4 in decreasing order.
4, 2, f
Let p be 3/2 + (-15)/(-80)*8. Sort 10, -4, p in decreasing order.
10, p, -4
Let b be (-19)/(-7) + (-12)/(-42). Put b, 4, 0 in increasing order.
0, b, 4
Let k = -1.9 + 0.9. Put -4/23, 1/2, k in descending order.
1/2, -4/23, k
Let o = 2.9 - -10.1. Let g = -10 + o. Sort g, -5, -1 in decreasing order.
g, -1, -5
Suppose -5*u - 4*j + 86 + 35 = 0, 3*j = -u + 22. Suppose 2*f + 5 = 2*p - 1, -5*p = 3*f + u. Sort -0.3, p, -2/5 in decreasing orde
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{
"pile_set_name": "DM Mathematics"
}
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Let j(g) = 15*g - 5. Let c(n) = -3*j(n) - 2*s(n). Find the first derivative of c(o) wrt o.
-17
Let l(c) be the first derivative of -38*c**3/3 - 35*c + 31. Find the first derivative of l(w) wrt w.
-76*w
Let w(b) = 5*b**2 + 7*b - 5. Let f(i) = i**4 - i**2 + 1. Let x(u) = 5*f(u) + w(u). Find the second derivative of x(c) wrt c.
60*c**2
Let h(l) = -73*l**2 + 37*l - 9. Let z(b) = -36*b**2 + 18*b - 4. Let k(r) = 4*h(r) - 9*z(r). What is the second derivative of k(o) wrt o?
64
Let p = -3 - -6. Differentiate -2*i**3 - 2*i**p + 4*i**3 + 2 - 3*i**3 with respect to i.
-9*i**2
Differentiate -9 + 0 - 3 - 8*m**2 wrt m.
-16*m
Let a(m) be the second derivative of -10*m**7/7 + 11*m**4/12 + 2*m**2 - 16*m. Find the third derivative of a(r) wrt r.
-3600*r**2
Find the second derivative of -5*h**5 + 14*h**4 - 14*h**4 + 6*h - 7*h**5 wrt h.
-240*h**3
Let s(i) be the third derivative of -i**4/24 - i**3/3 - 8*i**2. Differentiate s(c) wrt c.
-1
Let f be (-8)/(-12)*(-5 + -1). Let p = f - -7. What is the derivative of 3 + c**2 - 3*c**2 + p*c**2 - 3*c**2 wrt c?
-4*c
Let f = 9 - 5. Find the third derivative of x**f - x**2 + 2*x**2 - 2*x**2 - 2*x**4 wrt x.
-24*x
Suppose -6*z - 5*v = -2*z + 17, 0 = 5*z + v - 5. What is the second derivative of -3 + 0*u**2 + 3 - 6*u**z - 7*u wrt u?
-12
Let w(s) be the first derivative of -2*s**6/3 - 10*s**3/3 - 12. What is the third derivative of w(u) wrt u?
-240*u**2
Let a = 4 + -10. Let n be (-2 - a - -2) + -2. What is the first derivative of -1 + m**n + 6*m - 6*m wrt m?
4*m**3
Let a be -4*(-12)/8 - 2. Find the second derivative of 1 - 7*i**a - 2*i - 1 + i**4 wrt i.
-72*i**2
What is the second derivative of 0*n - n**4 + 0*n - 3*n wrt n?
-12*n**2
Let d(l) = l**3 + l**2 + l. Let z(f) = -10*f**3 - 3*f**2 - 5*f. Let p(k) = -5*d(k) - z(k). What is the third derivative of p(w) wrt w?
30
Let b(m) = -m**2 + 6*m + 3. Let a be 2/(-7) + 92/28. Let g(l) = 1 + a + 7*l + 0 - 2*l**2. Let i(d) = -4*b(d) + 3*g(d). Find the second derivative of i(k) wrt k.
-4
Suppose 5 = 2*m - 3*m. Let i = -3 - m. Find the third derivative of -2*h**6 + 19*h**i - 16*h**2 - h**6 wrt h.
-360*h**3
Let r(s) = -41*s**3 - 10*s**2 + 3*s + 3. Let j(l) = l + 1. Let u(m) = 3*j(m) - r(m). What is the third derivative of u(p) wrt p?
246
Let t(y) = -y**4 + y**3 + y**2 + y - 1. Let z(n) = -7*n**4 - 2*n**3 - 2*n**2 - 2*n - 20. Let q(p) = 2*t(p) + z(p). Differentiate q(x) wrt x.
-36*x**3
Let v(y) = y**2 + 7*y + 5. Let c be v(-7). Suppose 0 = 2*w + 4, c*l - 3*w - 73 = 63. What is the second derivative of -l - 2*t**4 + 26 - 3*t wrt t?
-24*t**2
Suppose 27 = 5*f - 2*f. Let u = -3 + f. Find the third derivative of -2*i**5 - 4*i**2 + 0*i**5 + u*i**2 wrt i.
-120*i**2
Let a(i) = -i - 4. Let n(m) = -6*m - 21. Let z(j) = 11*a(j) - 2*n(j). Let c be z(4). What is the second derivative of 2*q**5 + q + 5*q**2 - 5*q**c wrt q?
40*q**3
Let o(s) be the first derivative of -18*s**7/7 + 11*s**3/3 + 17. Find the third derivative of o(z) wrt z.
-2160*z**3
Let h(c) be the first derivative of 3*c**4 + c**2/2 + 11. What is the second derivative of h(m) wrt m?
72*m
Let i(w) = 6*w**2 + 3*w - 3. Let k(g) be the third derivative of g**5/60 - g**3/6 + 3*g**2. Let d(b) = i(b) - 3*k(b). Find the second derivative of d(j) wrt j.
6
What is the third derivative of 83*y**2 + 3*y**3 - 3*y**3 + 5*y**6 - 74*y**2 wrt y?
600*y**3
Let x(k) = 9*k**4 + 3*k**2 + 7*k + 3. Let i(r) = 10*r**4 + 4*r**2 + 8*r + 4. Let m(o) = -3*i(o) + 4*x(o). What is the second derivative of m(h) wrt h?
72*h**2
Let w(u) = u**3 - 9*u**2 + 7*u + 10. Let h be w(8). Find the third derivative of -3*k**2 + k**5 - 4*k**2 - h*k**5 wrt k.
-60*k**2
Suppose -3*a + 4*a = 6. Find the first derivative of -3*w**2 + a + 5*w**2 + 6 - 6 wrt w.
4*w
Differentiate 0*l + 0*l + 43*l**3 + 36 wrt l.
129*l**2
Let c(b) be the third derivative of b**7/70 - b**4/6 + 6*b**2. Find the second derivative of c(z) wrt z.
36*z**2
Suppose -2 = -4*x + 3*x - 2*k, 4*x - 4*k = 8. What is the derivative of 4 - x*t + 2*t + t - 2*t wrt t?
-1
Let y(j) = 16*j**4 + 8*j**2 + 24. Let v(b) = b**4 - b**2 + 1. Let a(n) = 8*v(n) + y(n). What is the first derivative of a(d) wrt d?
96*d**3
Let r = -35 - -35. Let i(f) be the third derivative of r*f + 0 + 1/2*f**3 + 1/12*f**4 + 3*f**2. Differentiate i(n) with respect to n.
2
Find the second derivative of 3*l + 15*l**5 + 10*l - 19*l**5 - 27*l**5 wrt l.
-620*l**3
Let k(j) = j + 2. Let a be k(3). Find the third derivative of -71*r**4 - 4*r**a + 2*r**2 + 71*r**4 wrt r.
-240*r**2
Let p(s) = s - 10. Let k(q) = -11. Let j(d) = 2*k(d) - 3*p(d). Differentiate j(t) wrt t.
-3
What is the second derivative of -51*g**4 + 51*g**4 + 24*g - 43*g**4 - 73*g wrt g?
-516*g**2
Let w(a) be the first derivative of -22*a**2 + 48*a - 31. Differentiate w(d) with respect to d.
-44
Find the third derivative of v**4 + 8*v**5 - 4*v**5 - 17*v - 6*v**2 + 8*v**2 + 0*v**2 wrt v.
240*v**2 + 24*v
Let y(s) = 4*s**3 - 2*s**2 + 6. Let f(z) = 2 - 3*z**2 + 2*z**2 - 2 + 1. Let m(x) = -2*f(x) + y(x). What is the first derivative of m(q) wrt q?
12*q**2
Let r(c) = 6*c**3 - 5*c**2 - 8. Let k(y) = 3*y**3 - 3*y**2 - 4. Let w be 2*4/(-8)*3. Let a(g) = w*r(g) + 5*k(g). Differentiate a(p) wrt p.
-9*p**2
Let i(k) = -46*k**4 + 3*k + 44. Let m(a) = -47*a**4 + 2*a + 45. Let u(j) = -2*i(j) + 3*m(j). Differentiate u(z) wrt z.
-196*z**3
Let k = 5 + -4. Let x be ((-10)/(-4))/(k/2). Find the second derivative of x*q**3 - q**4 + 2*q - 5*q**3 wrt q.
-12*q**2
Let s = -5 - -7. What is the third derivative of -q**6 - q**s - 2*q**2 - 3*q**6 wrt q?
-480*q**3
Let j(y) = -4*y**2 - 5*y + 6. Let l be (-1)/3 - 38/3. Let c(q) = -9*q**2 - 11*q + 13. Let u(o) = l*j(o) + 6*c(o). What is the second derivative of u(s) wrt s?
-4
Differentiate -9 + 5*n + 2 + 0*n + 3*n wrt n.
8
Let n be (-14 + 0)*5/(-10). Suppose -t = q - n, -2*q - 1 = -2*t + 1. Differentiate 2 + 2 + 2*z**q - 3 wrt z.
6*z**2
Let x(h) be the first derivative of -9*h**4/4 - 13*h**2/2 + 1. What is the second derivative of x(o) wrt o?
-54*o
What is the third derivative of -11*s**6 - 24*s**6 - 19*s**2 - s**6 wrt s?
-4320*s**3
Let j(y) = -y**3 + 6*y**2 - 3*y - 5. Let u be j(5). Suppose 0 = -4*d, u*l - l - 12 = -d. Find the third derivative of 2*n**l - 1 - 4*n**3 - n**2 + 1 wrt n.
-12
Let m be (-4)/2 - 12/(-3). Differentiate 3*u**2 + 0 - 5 + m - 1 wrt u.
6*u
Let z(b) be the first derivative of -3*b**4/2 - 10*b - 12. What is the derivative of z(c) wrt c?
-18*c**2
Let g(h) = -h**5 + h**3 + h + 1. Let z(d) = 4*d**5 - 12*d**3 + 12*d**2 - 12*d - 12. Let u(j) = -12*g(j) - z(j). What is the third derivative of u(r) wrt r?
480*r**2
Let i(g) be the third derivative of -8*g**7/105 - 5*g**4/12 - 3*g**2. What is the second derivative of i(b) wrt b?
-192*b**2
Find the third derivative of 5*u**5 + 0*u**6 - 12*u**2 + 5*u**6 - 5*u**5 wrt u.
600*u**3
Let s(h) be the third derivative of 1/105*h**7 + 0 + 3/2*h**3 + 0*h**6 + 0*h**4 + 10*h**2 + 0*h**5 + 0*h. Differentiate s(v) with respect to v.
8*v**3
What is the second derivative of 19*g**5 + 19*g**5 - 5*g**5 + 12*g wrt g?
660*g**3
Differentiate 10 - 5*z**4 + 3*z**4 + 0*z**4 + z**4 with respect to z.
-4*z**3
What is the first derivative of 110*j**2 - 210*j**2 + 44 + 131*j**2 wrt j?
62*j
Let z(w) be the third derivative of w**6/60 + w**4/12 + 7*w**2. Find the second derivative of z(l) wrt l.
12*l
Find the second derivative of 3*i + 0*i**5 - 4*i - 4*i**5 - 3*i**5 wrt i.
-140*i**3
Let f(o) = o**2 + 1. Let l(q) = -6*q**2 - 3. Let a(w) = -12*f(w) - l(w). Differentiate a(g) wrt g.
-12*g
Let w(b) = -b**3 + 4*b**2 - b + 2. Let y be w(4). Let q be y + (-2 - -1) - -6. Find the third derivative of s**5 + 2*s**5 - 3*s**5 + q*s**5 - s**2 wrt s.
180*s**2
What is the third derivative of 6*c**4 - 10*c**4 + c**2 - 9*c**2 wrt c?
-96*c
Let n(p) be the second derivative of 5*p**3/3 - p**2 - 11*p. Differentiate n(t) with respect to t.
10
Find the first derivative of 7 - 10 + 2*l**3 - l**3 wrt l.
3*l**2
Let y(f) = 3*f**2 - 1. Let t be y(-1). What is the third derivative of 2*d**5 - 4*d**t - 4*d**5 + 3*d**2 wrt d?
-120*d**2
Let a(n) be the first derivative of n**7/105 - n**3/2 + 3*n**2/2 + 1. Let q(i) be the second derivative of a(i). Find the first derivative of q(x) wrt x.
8*x**3
Let f(a) = 3*a**3 - 2*a**2 + 2. Let r(d) = d**3 - d**2. Let o(b) = f(b) - 2*r(b). What is
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{
"pile_set_name": "DM Mathematics"
}
|
5, 4, y, 1 in decreasing order.
5, 4, 1, y
Let j(w) = 5*w**3 - 2*w**2 + 3. Let l be j(2). Sort 5, l, 0, 4 in increasing order.
0, 4, 5, l
Suppose 2*w = w + 4*w. Suppose -d - 3*d - 8 = 0. Put w, -4, d in descending order.
w, d, -4
Let u = 15 + -5. Let a = u + -8. Sort a, 0.5, 0.1 in increasing order.
0.1, 0.5, a
Let x = -1.9 + 0.9. Let z = x + 1.5. Sort 4, z, 0.1 in decreasing order.
4, z, 0.1
Let t = 23 + -14. Let w be t/(-2)*12/45. Let z = w + 8/5. Put 3/7, 0.3, z in increasing order.
0.3, z, 3/7
Suppose -g - 55 = -5*i, 5*i + 19 = -3*g + 74. Let o = 8 - i. Let y = 5 + -2. Put o, y, 0 in descending order.
y, 0, o
Let r = 1 + 2. Let v(p) = -p**3 + 3*p**2 + 3*p - 4. Let l be v(r). Sort 2/3, l, 4 in increasing order.
2/3, 4, l
Let c(a) = -2*a - 4. Let m be c(-3). Suppose -n = -f + 4, -6*n + 4*n = 5*f - 34. Suppose m*s - f*s = 0. Sort -1, s, 4 in descending order.
4, s, -1
Suppose 0 = -w - 2 + 1. Put 0, w, -5 in decreasing order.
0, w, -5
Let z(g) = g + 1. Let b be z(-5). Let w(m) = -m**3 + 6*m**2 - 4*m - 6. Let y be w(5). Put y, b, 2 in increasing order.
b, y, 2
Let s(q) = q**2 - 7*q - 9. Let i be ((-4)/(-2))/(2*-1). Let w(f) = 1. Let t(b) = i*s(b) + 4*w(b). Let h be t(9). Sort 5, 3, h in descending order.
5, 3, h
Let j(o) = -4*o**3 + o. Let v be j(-1). Let c be (-3)/((-1)/(-3)*v). Put 0, c, -2 in increasing order.
c, -2, 0
Let s(x) = -x**3 + 11*x**2 + x - 8. Let b be s(11). Let a = 1 - -3. Sort a, b, -3.
-3, b, a
Suppose 3*c = 2*l - 19, 2 = 4*l - 3*l. Sort c, 42, -3 in decreasing order.
42, -3, c
Suppose 0 = -i - 3*i. Let o = -9 - -15. Let k be (-2)/(20/o)*5. Put 1, k, i in ascending order.
k, i, 1
Let p = 13 + -15. Put p, 5, -4 in ascending order.
-4, p, 5
Let x = 10 + -15. Suppose 0 = 5*d - 3*i - 34, 0*d + 1 = 2*d + 3*i. Suppose d*s = -0*s. Sort 1, x, s.
x, s, 1
Let i be -2 + (-42)/(-11) - 26/(-143). Put -4, i, 0, -1 in decreasing order.
i, 0, -1, -4
Let i(s) = -s**3 - 5*s**2 - 5*s - 5. Let x be i(-2). Sort x, 3, 2.
x, 2, 3
Let r be (117/(-70))/(-9) - (-10)/(-35). Sort 4, -1, -5, r in decreasing order.
4, r, -1, -5
Let f(n) = -10*n - 23. Let u be f(-3). Put u, 1/6, -0.2 in descending order.
u, 1/6, -0.2
Suppose 0*i = 2*i - 5*n + 29, -2*i = 3*n - 11. Let v = 1 + -2. Let s = v - -1. Put -0.2, s, i in increasing order.
i, -0.2, s
Let p(w) = w**3 - 5*w**2 - 5. Let t be p(5). Let c = 0 - -1. Let u = -0.5 + c. Put u, t, -2 in decreasing order.
u, -2, t
Let k(a) = a**3 - 4*a**2 - 5*a + 4. Let r be k(5). Suppose 0*y = 5*u + 2*y + 23, r*u + 17 = -3*y. Put u, 5, -1 in descending order.
5, -1, u
Suppose 0*p + 3*p - 4*a + 23 = 0, 4*p + 3*a = -14. Let b be 1/(-60)*-39 - (-3)/(-12). Sort p, 4, b in increasing order.
p, b, 4
Let i = 3.5 + -3. Let t = -0.2 + -0.3. Suppose 4 = -4*f + 2*f. Put t, i, f in descending order.
i, t, f
Let r be (1 - 2)/(-4 + 2). Sort -4/7, r, -2 in descending order.
r, -4/7, -2
Let n(g) = g**3 - 3*g**2 - 6*g + 4. Let r be n(4). Suppose -4*v + 3 = -1, -v + 31 = -3*b. Let w = b + 9. Sort w, r, 4 in ascending order.
r, w, 4
Let h = 14 - 14.06. Let o = 0.46 + h. Let u = -2 + 4. Sort o, u, 1 in increasing order.
o, 1, u
Let o(j) = -j - 7. Let q be o(-5). Let g be 19 + -22 - (-43)/15. Put q, g, 0.5 in ascending order.
q, g, 0.5
Let n = -6 + 9. Let i = -1 - 4. Suppose v + u + 4 = 1, 15 = -5*u. Sort i, n, v.
i, v, n
Suppose 0*u = -u - 1. Let s be ((-10)/15)/(4/30). Suppose 3*k - 12 + 0 = 0. Put s, u, k in descending order.
k, u, s
Let m = 12721/23 - 553. Put -10, m, 0.3 in decreasing order.
0.3, m, -10
Let z = -24 - -24.2. Put -0.3, 5, z, -0.2 in decreasing order.
5, z, -0.2, -0.3
Let x be 2 + (3 - 1)/(-2). Suppose -2*q - v = 4*v - 9, -2 = -3*q + 4*v. Sort q, -5, x in decreasing order.
q, x, -5
Let b = 54.6 - 60. Let o = b - -5. Let f = 6.7 + -7. Sort f, 0.2, o in decreasing order.
0.2, f, o
Let b = 0 - -3. Let a = b + -3. Put 3, 1, a in decreasing order.
3, 1, a
Let g = -9.3 - -9. Let j = -0.2 + 1.2. Let u = -1 + j. Sort 5, g, u.
g, u, 5
Let m be (-8)/(-3) + (-4)/6. Suppose -2*o + 0*j = -j, -j + m = -o. Sort -3/8, o, -2 in increasing order.
-2, -3/8, o
Let d = -0.09 + -0.31. Let a = -0.1 + d. Sort 3, -2/5, a in ascending order.
a, -2/5, 3
Let a = 1.5 - 9.5. Let k = 5 + a. Let q = 2.8 + k. Put 5, q, -1 in ascending order.
-1, q, 5
Suppose 0 = 4*k - 2*k. Suppose k = -3*a - 5*n, -4*a + 5*n + 29 = 2*n. Sort a, 0.2, 2.
0.2, 2, a
Suppose c - 8 = -3*c. Suppose 3*t - w = 4*t - 25, -3*t = -c*w - 50. Suppose n - 5*i - t = 0, 0*n + 4*n = -i + 17. Sort 3, -1, n in decreasing order.
n, 3, -1
Suppose -4*l = 3*b - 12, -5*l - 2*b = -5 - 3. Sort l, 2, 5 in ascending order.
l, 2, 5
Let s be 1*(-2 + -3 + 5). Sort 0.3, s, 0.4 in ascending order.
s, 0.3, 0.4
Let g(l) = -l. Let q be g(-4). Suppose -4 = -3*c + a - 0, -3*c + 2*a + 2 = 0. Sort c, q, -6 in ascending order.
-6, c, q
Let p be (-96)/(-165) + (-2)/5. Put -1, p, -0.2 in decreasing order.
p, -0.2, -1
Let x be -3 + (-2 - (-3 - 1)). Let t(s) = s**3 + s**2 + s + 9. Let a be t(0). Suppose -r + 5*n - a = 0, 2*n + 1 = -r + 6*r. Sort r, x, -4 in descending order.
r, x, -4
Let j be ((-14)/(-10) - 16/40) + 4. Suppose -s = 3*s. Sort 3, j, s in decreasing order.
j, 3, s
Let h = -3.6 + 0.6. Let z = 0.06 + -0.06. Put z, h, 3 in decreasing order.
3, z, h
Suppose -3 = -t + 3. Let g = -2 + t. Sort g, -0.2, -5.
-5, -0.2, g
Suppose 0 = -2*v - 0 - 2. Let k be v/(-4) + (-18)/40. Sort -3, k, 2.
-3, k, 2
Let n = -0.8 + 0.4. Let w = n - -1.4. Sort w, -1, -0.5 in descending order.
w, -0.5, -1
Let k = -11 + 16. Let c(o) = o - 7. Let q be c(8). Sort q, k, 3 in decreasing order.
k, 3, q
Let j(h) = -4*h**2 + 4*h + 4. Let f be j(-1). Sort -2, -8, f in descending order.
-2, f, -8
Let y = 2.1 + -0.1. Let d(t) = -t**3 - 5*t**2 - 2*t + 4. Let q be d(-4). Sort -2, q, y in ascending order.
q, -2, y
Let k = -0.15 + 14.15. Let b = 13 - k. Let u = 1/2 + -3/8. Sort u, b, 2/9 in ascending order.
b, u, 2/9
Let n(a) = 10*a - 2*a**2 + a**3 + a**2 - 9*a**2 - 13. Let v be n(9). Sort v, 0.5, -2 in decreasing order.
0.5, -2, v
Let o be 4/2*(-6)/(-12). Let q(k) = -3 + 4*k**2 + o + 3. Let h be q(1). Sort h, -1, -4 in increasing order.
-4, -1, h
Let k = -0.42 - -0.02. Let j = k + 0.5. Let y = -0.5 + 0.3. Sort -1/3, y, j.
-1/3, y, j
Let q = 3.7 + -4. Let w = q + 0.1. Sort -1, w, -3 in ascending order.
-3, -1, w
Let i = -32 + 33. Put i, 4, 0.5 in increasing order.
0.5, i, 4
Let m = -4.5 - -4. Let z = 4 + -6. Let y = 0 - z. Sort m, y, -3 in ascending order.
-3, m, y
Suppose 3*q = -15, -5*q = -3*j + 1 + 30. Put j, 4, -7 in ascending order.
-7, j, 4
Let z(w) = -4*w**3 + w + 1. Let i = 1 + -2. Let n be z(i). Let k(j) = j**3 + 2*j**2 - 2*j + 1. Let l be k(1). Sort -2, n, l in descending order.
n, l, -2
Let i = -13.3 + 14. Let n = -0.19 - 1.01. Let h = n + i. Sort -3/5, 0, h in decreasing order.
0, h, -3/5
Let a = -0.26 + -2.74. Let d be ((-2)/(-28))/(2/(-4)). Sort d, a, 3.
a, d, 3
Let t = -9 - -4. Put t, 5, 0 in ascending order.
t, 0, 5
Let f(o) = -o. Let b be f(0). Suppose 2*l = z, 4*l + b*z - 24 = -4*z. Let d be -3 - (4/2 + -3). Sort l, 1, d in ascending order.
d, 1, l
Let y = 77 - 305/4. Let v = -0.08 - 4.92. Sort y, v, 0.1 in decreasing order.
y, 0.1, v
Let s = 0.07 - 3.07. Let x = s + 3.4. Sort x, 0.1, -0.3.
-0.3, 0.1, x
Let y be 7 - (-6)/(-1 + -2). Suppose -5*k + w + 92 - 27 = 0, 0 = -w - y. Let l = k + -7. Sort -2, l, -5 in descending order.
l, -2, -5
Let y = 2.3 + -2. Let b = -28.3 + 28. Put y, -3, b in decreasing order.
y, b, -3
Suppose 5*i = -2*g + 17, 8 = 3*i + 2*g - 3*g. Let q be 4 + (-2)/((-6)/(-3)). Suppose -4*l + q*l + 4 = 0, -4*l + 12 = y. Sort i, 4, y in decreasing order.
4, i, y
Let s(w) = -w**2 + 11*w - 13. Let f be s(10). Sort -5, 0, f.
-5, f, 0
Let t(b) = -b**2 - 6*b + 1. Let q be t(-7). Let g be 1/(-1)*(q - -7). Let l be (8/(-20))/(2/10). Sort 2, g, l in increasing order.
l, g, 2
Let y(u) = 5*u**3 - 2*u**2 + 12*u - 4. Let i(w) = -w**3 + w**2 - w + 1. Let m(h) = 6*i(h) + y(h). Let o be m(5). Let c = o + -7. Put 4, c, 3 in ascending order.
c, 3, 4
Suppose 9*d - 5*d - 16 = 0. Suppose 0 = d*c - 2*c + 2. Sort c, 4, -2 in decreasing order.
4, c, -2
Let x(m) = m**2 + 3*m - 5. Let q be x(-4). Sort 10, q, 1, 4.
q, 1, 4, 10
Let c = -17 + 12. Put c, 3, 1/6 in descending order.
3, 1/6, c
Let o = 25 - 178/7. Sort o, -1/4, -2/5, 2/11 in decreasing
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m = -39 + q. Suppose -4*f + m = -3. What is the units digit of f?
3
What is the thousands digit of 4*(-370489)/(-56)*(40/(-28))/(-5)?
7
Let z(b) = b + 2. Suppose 2*v + f = -2*f + 8, -3*v + 5 = f. Let y be z(v). Suppose 86 - 671 = -y*n. What is the hundreds digit of n?
1
Let b be -6 + 0 + 3320 + (5 - 9). Suppose 4*f + 2*d + d - b = 0, -3*d = -3*f + 2472. What is the tens digit of f?
2
Suppose 5*p - 2*p = i + 2252, 1500 = 2*p - i. Let u = -9 + p. What is the tens digit of u?
4
Let d = -10481 - -68122. What is the ten thousands digit of d?
5
Suppose -7617*i + 7668*i = 3982794. What is the units digit of i?
4
Suppose q + 132 = j - 2*q, 5*q + 130 = j. Let b = j + -5. What is the hundreds digit of b?
1
Let v(s) = 32*s + 66. Let z be v(-2). Suppose 0 = 7*l - 3*l - 468. Suppose 5*p = -z*k + 72, -2*k - k - 3*p = -l. What is the tens digit of k?
4
Let f(t) = -6*t**3 + 12*t**2 - 13*t + 59. What is the units digit of f(-10)?
9
Let z(n) = 67*n**2 - 20*n - 231. What is the hundreds digit of z(-14)?
1
Let s be (-1)/((-123)/(-737) - 10/55). Let b = 79 - s. What is the tens digit of b?
1
Suppose 52*j = 22*j - 11*j + 256947. What is the hundreds digit of j?
2
What is the units digit of (-1279473)/(-234) + 4/((-24)/5)?
7
Let a be ((-18)/(-4) + 0)/(6/(-8)). Let i(p) = -3*p**3 - 8*p**2 + p - 14. What is the tens digit of i(a)?
4
Let j(q) = 46*q - 3. Let o be j(2). Suppose 5*g - p = -343, 10*g - 5*g - 3*p + 339 = 0. Let d = g + o. What is the tens digit of d?
2
Let w(o) = -467*o + 3982. What is the hundreds digit of w(-108)?
4
Let k be (-1*(187 - 4))/(-1) - 3. Let f(d) = -89*d + 7. Let h be f(-3). Let o = h - k. What is the units digit of o?
4
Suppose 3*g = -2*b + 6*b - 2601, -5*g - b = 4358. Let t = -24 - g. What is the tens digit of t?
4
Suppose 2*a - 1231 + 335 = 0. Suppose -3*i + 5*l - a = -4*i, -i + 2*l = -413. What is the tens digit of i?
2
Let n = 19122 + -9034. What is the thousands digit of n?
0
Suppose 5*i + 2*d - 2715 = 7*d, 0 = 5*i + d - 2697. Suppose -3*l + 3*m = -0*l - i, 723 = 4*l - 3*m. What is the tens digit of l?
8
Suppose 7*y - 43 = -3*t + 12*y, 2*t = y + 31. Suppose -t*p = -18*p + 2406. What is the tens digit of p?
0
Suppose -3*s = -3, 3*q + 30 + 83 = -s. What is the units digit of (q - -36)/((-2)/613)?
3
Suppose -15*m = 47*m - 147994. Suppose 5*j - 8448 = -2*u, -3*j = -3*u - 2686 - m. What is the tens digit of j?
9
Suppose -13*i = -14*i - 4*f + 86, f = -2*i + 200. What is the tens digit of (12274/i)/(2/6) - 2?
5
Let h(p) = 22*p - 70. Let t(u) = -3*u + 64. Let i be t(16). What is the units digit of h(i)?
2
Let v = 745 - 748. What is the tens digit of v/6*(-15 + -3143)?
7
Suppose -15 = -3*c - 3*p, 2 = c - p + 1. Suppose 3*i + 3*r + 492 = 7*i, -5*i + 588 = c*r. What is the units digit of i?
0
Let k(y) = -y + 19. Let f = 42 - 26. Let x be k(f). What is the units digit of (6/8)/(x/(-600)*-2)?
5
Let z be 0 + (-2)/6 - (-5212)/12. Let i = -36 + 41. Suppose -5*r = -5*q + 8*q - z, -2*r = i*q - 698. What is the tens digit of q?
3
Suppose 3*i - 13821 = u, -124*i - 5*u = -120*i - 18447. What is the tens digit of i?
0
Let z be ((-112)/10)/(8/40). Let b(q) = -q**2 - 7*q - 1. Let g be b(-10). Let k = g - z. What is the units digit of k?
5
What is the hundreds digit of 188388880/5868 - (1/(-18) - 1/(-2))?
1
Suppose 1109 = 5*q - 1761. Let w = -79 + q. What is the tens digit of w?
9
Suppose 856758 + 3335650 = 31*b + 40*b. What is the thousands digit of b?
9
What is the thousands digit of -12 - 1079/(-91) - (-23059)/7?
3
Let a = 207 - 407. Let l be (2/4*-2)/(8/a). Suppose l + 731 = 7*z. What is the units digit of z?
8
Suppose -30*i + 47889 = -26211. What is the units digit of i/(-39)*(1 + 5/(-2))?
5
What is the units digit of (-2)/(-9)*2169*8?
6
Let c(h) = 2*h**3 + 14. Let l be c(0). Let d(s) = 44*s - 13. What is the units digit of d(l)?
3
Suppose -4*b + 5*t = -369656, -3679*b = -3680*b - 3*t + 92397. What is the ten thousands digit of b?
9
Let i(v) be the second derivative of v**4/12 - v**3/6 - 121*v**2/2 + 141*v. What is the tens digit of i(-11)?
1
Suppose 7*t = 9*t - 4. What is the units digit of (1 - 1340/8 - t)*-2?
7
Let z = 35 - 43. Let i be 4/z - ((-213)/6 + -3). Suppose 0 = 2*g - 3*d - 141, -g + 0*d + i = 5*d. What is the tens digit of g?
6
Let j(w) = -5*w**2 + 23*w + 14. Let p(r) = 4*r**2 - 21*r - 13. Let l(q) = -3*j(q) - 4*p(q). What is the tens digit of l(7)?
6
Let g(x) = -24 - 21*x - 22*x + 40*x - 9*x. What is the hundreds digit of g(-20)?
2
Let q be 955*(12/(-30))/(-2). Suppose z - 3*o = q, 2*o + 0*o - 820 = -4*z. What is the units digit of z?
3
Suppose -387330 - 311983 = -471*b - 53101. What is the tens digit of b?
7
Suppose y - 4*h + h = 11, y - 5*h - 17 = 0. Suppose -y*q - 3*q - 300 = 0. Let s = 5 - q. What is the units digit of s?
5
Let b(c) = 9*c + 3. Let p be 140/42*(-3)/(-2). Suppose -1 - p = 5*d - 4*h, 20 = 2*d + 4*h. What is the units digit of b(d)?
1
Suppose -b + 94 = -542. Let u = b + -426. What is the units digit of u?
0
Let l(x) = -183*x - 4080. What is the hundreds digit of l(-26)?
6
What is the units digit of ((-2024)/(-3))/((-24)/972*15/(-5))?
8
Let y(r) = 5*r**2 + 46*r + 40. Let m be y(-15). Let n(b) = -22*b - 7. Let p be n(-5). Suppose p = -4*s + m. What is the units digit of s?
3
Suppose -13330 = -6*v - 25*v. Let j = 114 + v. What is the units digit of j?
4
Let p = 8473 + -7154. What is the units digit of p?
9
Let a be 2586/(-2)*(-16)/48. Let z = -272 + a. Suppose n - z + 34 = 0. What is the hundreds digit of n?
1
Let q(b) = 1349*b + 239. What is the thousands digit of q(4)?
5
Let i be -34*6/16 - (-6)/8. What is the hundreds digit of 18/i + (-1134)/(-4) + 2?
2
Let m(s) = -69458*s**3 - 30*s**2 - 30*s. What is the hundreds digit of m(-1)?
4
Let m = 13338 - -5321. What is the tens digit of m?
5
Let z = -3 - 11. Let q(b) = -14*b**2 - 9 + 2*b**2 + 15*b + 13*b**2 + b**2. What is the hundreds digit of q(z)?
1
Let n(d) be the first derivative of 5*d**3/3 - 9*d**2/2 - 402. Let r(y) = -y**2 - 5*y + 4. Let g be r(-5). What is the units digit of n(g)?
4
Let l be ((-280)/(-7) + 1)*4. Suppose -6*x + 232 = -l. What is the tens digit of x?
6
Let u be 13/(-546)*7 + 16814/12. Suppose 547*a + u = 550*a. What is the hundreds digit of a?
4
Let c(b) = 152*b**2 - 7*b - 6. Let d be c(3). Let k = d + -887. What is the units digit of k?
4
Suppose 5*m + 21 - 86 = 0. Let q(f) = 8*f**2 - 25*f - 46. Let i be q(-2). Suppose -m*r = -9*r - i. What is the units digit of r?
9
Suppose 0 = 10*w - 37103 - 19037. What is the thousands digit of w?
5
Suppose -2*x + 2*f + 15 = 9, 5*x - 4*f = 12. Suppose x = -3*d + 2004 - 480. What is the tens digit of d?
0
What is the ten thousands digit of (39/4)/(-3)*-10*454?
1
Let q(h) = h**3 - 6*h**2 + 5*h + 3. Let f = 81 - 76. Let g be q(f). Suppose -1 = -g*a + 35. What is the tens digit of a?
1
Let v(u) = 6*u**2 - 8*u + 256. Suppose -5 = -6*l + 73. What is the units digit of v(l)?
6
Let l be 7 - -1 - (-4)/(-2). Let h(w) be the second derivative of -w**5/20 + 2*w**4/3 + 2*w**3/3 - 5*w**2/2 - 9*w. What is the units digit of h(l)?
1
Let h(t) = t**3 + 2*t**2 + 7*t + 35. Let v be h(-3). Suppose v*d - 5 = 0, q - 205 + 9 = -3*d. What is the tens digit of q?
9
Suppose -1880401 = -157*v - 526590. What is the tens digit of v?
2
Suppose -214829 = -279*p + 1757661 + 2787250. What is the ten thousands digit of p?
1
Let v = -143 + 167. Let r = -16 + v. What is the tens digit of (-1)/((-12)/r*4/1284)?
1
Let h(l) = l**3 - l**2 - l + 556. Let q be h(0). Suppose 3*s + s = 40. What is the units digit of q/s + 8/20?
6
Suppose -2*i - i + 54 = 0. Let o = i - 22. What is the tens digit of (-195)/(-13) + o/(-2)?
1
What is the ten thousands digit of (512/768)/(2/33531)?
1
Let m be (-45)/9 + 81/(-1). Let g = -84 - m. Suppose p - 708 = -3*w, -g*p - 3 = -p. What is the tens digit of w?
3
Let s(a) = a**2 + 15*a + 20. Let v be s(-7). What is the units digit of (v/8 - -3)*(-1608)/9?
8
Suppose 5*m + 4*p = 17217, -10314 = -3*m - 2*p + 5*p. Suppose -2319 - m = -8*o. What is the hundreds digit of o?
7
Let y = 511 + -503. Suppose y*c - 1655 = 409. What is the hundreds digit of c?
2
Suppose 5*u + 24 = q, -3*q - 20 = -4*q + 4*u. Let y be (q/6)/(12/27)*4. Suppose y*t - 1225 = 77. What is the hundreds digit of t?
2
Let j = -1 - 9. Let m be (6*-1)/(15/j). Suppose i
|
{
"pile_set_name": "DM Mathematics"
}
|
et b = -183 - -179. Let i be (-36)/21 - 4/14. Let f be (-1)/(-3) + 2 + i. What is the third biggest value in -5, f, b?
-5
Let x = -322.2 + 322. Let l = -2.1 + 2. Let r = 0.38 - -0.02. What is the second smallest value in x, r, l?
l
Let w = -23.6 + 29.6. Which is the biggest value? (a) 3/8 (b) -2/7 (c) 0.3 (d) w
d
Let w(v) = -4*v - 27. Let r be w(-8). Let b be r/(-50)*3/(6/(-4)). What is the second smallest value in b, -3, 2/9?
b
Let v = 1.3 - 0.8. Suppose -o = -6*k + 3*k - 6, -5*k = -5*o + 50. Let g be ((-9)/o)/(3/(-8)). What is the smallest value in v, g, 2/15?
2/15
Let m = -1.342 + -13.658. What is the second smallest value in 4, 0.03, m?
0.03
Let x = -4.1 - -4. Let l be (-10)/75*(-16 + 19). Which is the second biggest value? (a) l (b) 1/4 (c) 0.1 (d) x
c
Suppose -11 = 5*x + p - 56, -p + 18 = 2*x. Let j(y) = y**2 - 9*y - 5. Let k be j(x). What is the second biggest value in -0.3, -2, k, 3?
-0.3
Let w = -2.66 + -3.34. What is the biggest value in 0.05, w, -12?
0.05
Suppose 5*g + x - 12 = 0, -x - 4 = 2*g - 5*g. Suppose 0 = -o - g, 0 = 2*j - 4*o - 0*o. Which is the fourth smallest value? (a) j (b) 2 (c) -0.1 (d) -3/7
b
Let s = 565.6 + -566. Which is the biggest value? (a) s (b) -4 (c) -2/11 (d) -6
c
Let b = 5.47 - 6.47. Let k = 43/2 - 23. What is the second smallest value in b, 0, -3, k?
k
Let s = 435.5 - 435. Which is the third biggest value? (a) s (b) 2 (c) -1/3
c
Let s = 908 - 1817/2. What is the second smallest value in -26/9, -2, s?
-2
Let x = -971/7 - -139. What is the second biggest value in 2, x, -3?
x
Let b be 2 - 3 - 23/(-21). Suppose 6*t - 3*t - 180 = 0. Let d be 2/(-6) + (-16)/t. What is the third biggest value in b, d, 1/10?
d
Suppose 0 = -6*m + m - 15. Let c = -519 - -519. What is the second biggest value in -5/4, m, c?
-5/4
Let o = -6383396/1156703325 + -1/375675. Let l = 980654/280189 - o. Let j = l + -40/13. What is the biggest value in -1, j, 5?
5
Let t = 10 + -15. Suppose -c + 20 = 4*c. Let b = -1405 - -1405.7. What is the biggest value in t, c, b?
c
Let x be (-10)/(-24) + 1/4. Let o = -335 - -333.61. Let j = 1.79 + o. Which is the second smallest value? (a) x (b) j (c) 2
a
Let g = 0.97 - -0.03. Let o = 22 - 23.7. Let w = o + 2. Which is the third smallest value? (a) g (b) 4 (c) w
b
Let i = -75 + 65. What is the third biggest value in -0.1, 0, i, 2?
-0.1
Let j = -71 - -41.1. Let r = j - -30. Which is the second biggest value? (a) 1/3 (b) r (c) 5
a
Let o = -93 + 92.5. Which is the second biggest value? (a) -5 (b) 2 (c) 2/17 (d) o
c
Let h be (-5)/(-7) - ((-28)/(-4) - 6). Let j = -8014/11 - -728. What is the second smallest value in j, h, 2/21?
h
Let t = 47/3 + -16. Let k = 544 - 549. Which is the third smallest value? (a) k (b) -0.04 (c) 3/2 (d) t
b
Let v = 19.8 + -31.8. Which is the second smallest value? (a) v (b) 3/2 (c) 6
b
Let o be (-2 + -1)*(-5)/5. Suppose -o*m - p + 18 = 0, 2*m - 3*p = 3*m - 14. Let a = -0.06 + 3.06. What is the second smallest value in -0.5, m, a?
a
Let u be (2 + -4)*(-4 - (-342)/84). Suppose -7*i + 2*i + 25 = 0. Suppose 2*o - 11 = -i*b, 3*o - 12 = -4*b + 1. What is the biggest value in 2, b, u?
2
Let n = 62 + -68.1. Let w = n + 6. Which is the second smallest value? (a) w (b) -5 (c) 0.4 (d) -4
d
Suppose 0 = x - 3*v - 93, 5*x - 7*v = -3*v + 421. Let b = x - 80. What is the second biggest value in -6, -4, b, -3?
-3
Let i = 892 + -893.963. Let y = i - 0.037. Let s = -2/3 - 0. Which is the smallest value? (a) y (b) s (c) -2/7
a
Let q = 90 + -88.6. Let r = -2.3 - -1.1. Let y = q + r. Which is the smallest value? (a) -2 (b) y (c) -3
c
Let x = 671/3 - 223. What is the third biggest value in x, 0.09, -4?
-4
Let g = -24 - -23. Let k = g - 2. Which is the second smallest value? (a) k (b) 0.4 (c) -0.4 (d) 0
c
Let v = 70 - 75. Which is the third smallest value? (a) 3/2 (b) -18 (c) 5 (d) v
a
Let h = 0.23 - 0.29. Let y = 0.14 - h. What is the second smallest value in 3, -1/9, y?
y
Let m = 1.5 - 2. Let u = -1233 + 1241. Let i = 4 - 3. Which is the third biggest value? (a) m (b) i (c) u
a
Let g = -0.163 + 0.563. Which is the third biggest value? (a) g (b) -0.8 (c) 3
b
Let u = -53 - -211/4. Suppose 2*l = -5*d + 7, 3*l - 6 = -5*d + 2. Which is the biggest value? (a) u (b) l (c) 3/4
b
Let q = 78 + -31. Let w = -47 + q. Suppose r = 4*j - 9 + 24, 4*r + 2*j + 12 = 0. Which is the second biggest value? (a) r (b) 1/6 (c) w
c
Let w be 4 + -1 + ((-84)/(-5))/(-6). Which is the smallest value? (a) 157 (b) 1 (c) 5 (d) w
d
Suppose 6 = -g - g. Let j = 153.7 + -154. What is the second smallest value in -2/3, g, j, 8?
-2/3
Let u = 675 - 677. Which is the fourth biggest value? (a) -0.5 (b) -1 (c) 2/297 (d) u
d
Let s be -8 - -2 - 1*-11. What is the second biggest value in s, -3, -0.2, 2?
2
Let k = -0.1 + -0.4. Let q = -162 + 162.83. Let m = -0.33 + q. Which is the second smallest value? (a) m (b) k (c) 11
a
Let i = 27 + -30. What is the smallest value in 2/11, -2.9, -2, i?
i
Let w(i) = i. Let m be w(3). Suppose 0 = m*x - 5*z - 12, x + 11 = -4*x - 2*z. Let h = 498 - 497. What is the third smallest value in -2, x, h?
h
Let z = -10/153 + 152/765. Let p be 0 - (1 - (-5)/(-2)). What is the third biggest value in 2/9, z, p?
z
Let j = -324 + 316. What is the fourth smallest value in j, 0.2, -0.06, -1?
0.2
Let w = 0.2 - 0.2. Let s = -5 + w. Let g = 64/9 + -311/45. Which is the second smallest value? (a) -4 (b) s (c) g
a
Let w = -2979.7 + 3016.818. Let q = 0.118 - w. What is the biggest value in 0.4, -3/7, q?
0.4
Let d(j) = j**2 + 8*j - 6. Let i be d(-9). Suppose -4*m + 4*h = 2*h - 4, 4*m + i*h = 24. Let x = -160.9 + 161. Which is the smallest value? (a) 6 (b) m (c) x
c
Let y = -8 - -10. Suppose -4*x - 4 = -5*x - 5*i, -5*x + 20 = -4*i. What is the third smallest value in x, y, 1/2?
x
Let w = -1244/91 + 174/13. Let h = 17 - 19. What is the third biggest value in h, -0.07, 0, w?
w
Let k = 377/36 - 41/4. Let j = 331 + -339. What is the second biggest value in 1/2, j, k?
k
Let t = -2.26 - -2.56. What is the third smallest value in 2/5, t, -0.5, -4?
t
Suppose 4*i - 10*i = 0. Let a = -129/65 + 5/13. What is the smallest value in 2/7, 3, a, i?
a
Suppose -2*o = -5*f, 0*o + 5*o - 2*f = 0. Suppose -5*i + 2*y - 16 = o, -2 = -6*i + i - 4*y. What is the smallest value in i, 4, 0, -3/2?
i
Let f = 16.85 - 17. Let d = f - -8.15. Which is the smallest value? (a) d (b) 2 (c) -0.2
c
Let z = -678 - -2713/4. Let u = -17.1 + 15. Let i = -2 - u. Which is the third biggest value? (a) -2/13 (b) z (c) i
a
Let p = -0.13 + 4.13. Suppose 2*m = -2*m + 8. Which is the biggest value? (a) 1.1 (b) p (c) m
b
Let p be ((-6)/3)/(110/35). Let s = -23/33 + p. Which is the biggest value? (a) -2/9 (b) s (c) 2/3
c
Let j be (1/(-52))/(1 - 0). Let f = 15/104 + j. Let d be 2 - (2 - 2) - 0/(-86). Which is the smallest value? (a) f (b) -1 (c) d
b
Let q = -15 - 0. Let o = q + 10. What is the second biggest value in o, -1, 0.4?
-1
Let d = 0.03 - 0.13. Let q = -10 - -7. Let r = q + 8. Which is the second smallest value? (a) 1/5 (b) r (c) d
a
Let f = -816 - -4084/5. Which is the fourth smallest value? (a) -3/8 (b) 0.1 (c) 3/7 (d) f
d
Let c = -360 + 359.7. What is the biggest value in -5, -4, c?
c
Let r = 0.9168 + -1.9168. Suppose -12 = -7*j + 4*j. Which is the fourth biggest value? (a) 11 (b) r (c) -0.5 (d) j
b
Let v be 117/(-24) + (-2)/16 - -3. What is the second biggest value in -2/7, -3/17, v?
-2/7
Let l = -1 + 1.9. Let o = -32 + 8. Let p = -23.9 - o. Which is the third smallest value? (a) l (b) 1/6 (c) p
a
Let z be ((-12)/36)/((-5)/(-2) + -3). Which is the smallest value? (a) z (b) 2 (c) 144
a
Let i = -1892 - -1891.7. Let j(z) be the first derivative of z**3/3 + 2*z**2 + 3*z - 1. Let k be j(-4). Which is the biggest value? (a) 0 (b) k (c) i
b
Let w = 926 - 4631/5. Which is the third smallest value? (a) 0.0465 (b) -1 (c) w (d) 3/8
a
Let p = 1611/35 + -318/7. Let q be (-9)/(-3)*8/(-6). Which is the third biggest value? (a) -2 (b) p (c) q (d) 0.5
a
Let i(z) = z**3 + 9*z**2 - 288*z - 46. Let y be i(-22). What is the third biggest value in 3/4, -0.29, -5, y?
y
Let w(t) = -5*t**2 + 18*t + 18. Let i be w(-1). Which is the third biggest value? (a) i (b) 5/4 (c) -3/
|
{
"pile_set_name": "DM Mathematics"
}
|
95?
False
Is 152 a factor of 50626944?
True
Does 1746 divide 42771464?
False
Is 505361393 a multiple of 1568?
False
Is 36986560 a multiple of 1046?
True
Does 33 divide 29387061?
True
Is 56 a factor of 495862847?
False
Is 64576046 a multiple of 598?
False
Is 15 a factor of 38275995?
True
Is 11 a factor of 974110687?
True
Is 279198616 a multiple of 2584?
True
Is 1463685267 a multiple of 33?
True
Is 247791887 a multiple of 98?
False
Is 176 a factor of 34275455?
False
Does 5 divide 579351641?
False
Does 128 divide 14628096?
True
Does 342 divide 1664777340?
True
Does 95 divide 178462277?
False
Is 77 a factor of 1438535?
False
Does 3469 divide 600207393?
False
Does 383 divide 37720904?
True
Does 57 divide 65226515?
False
Is 277 a factor of 186208818?
True
Does 16 divide 9678506?
False
Is 2002107 a multiple of 7?
False
Does 71 divide 372323322?
False
Is 8 a factor of 63436382?
False
Is 103 a factor of 541265?
True
Is 42461130 a multiple of 3651?
True
Is 196196473 a multiple of 2978?
False
Is 2463 a factor of 589477179?
True
Is 23 a factor of 46228790?
False
Is 4313348487 a multiple of 11169?
False
Does 527 divide 625394?
False
Is 7785087 a multiple of 950?
False
Does 384 divide 244454400?
True
Does 21 divide 77798922?
False
Does 21 divide 25827984?
True
Is 3 a factor of 102859185?
True
Is 17548370 even?
True
Does 10 divide 320352582?
False
Does 840 divide 23945491?
False
Is 19 a factor of 14251730?
False
Is 114486924 a multiple of 49?
False
Is 98 a factor of 30056499?
False
Is 313 a factor of 832525939?
False
Is 300012523 a multiple of 388?
False
Does 14 divide 24264567?
False
Is 170454879 a multiple of 441?
True
Is 45332031 a multiple of 2527?
False
Is 7296 a factor of 1950461568?
True
Does 154 divide 1951026?
True
Is 239 a factor of 136285448?
True
Is 2625 a factor of 120148875?
True
Is 1672357610 a multiple of 35?
True
Is 1266586560 a multiple of 32?
True
Is 161641239 a multiple of 364?
False
Does 14168 divide 1018650864?
True
Is 36265773 a multiple of 11?
False
Does 1017 divide 164576025?
True
Is 62 a factor of 39524501?
False
Is 180 a factor of 1299959460?
True
Is 754704689 a multiple of 3?
False
Does 18 divide 143120412?
True
Is 596 a factor of 51342420?
True
Is 20762346 a multiple of 479?
False
Is 62 a factor of 38002193?
False
Does 2716 divide 47019861?
False
Is 394 a factor of 12158688?
False
Does 5285 divide 247940490?
True
Is 42 a factor of 300617506?
False
Is 207416102 a multiple of 89?
True
Is 13 a factor of 2717424788?
True
Is 8449333 a multiple of 692?
False
Does 325 divide 301727075?
True
Is 15 a factor of 3812480727?
False
Does 601 divide 614818793?
True
Does 135 divide 1248438690?
True
Does 28 divide 418592250?
False
Does 544 divide 1218158528?
True
Is 16 a factor of 84994224?
True
Does 12 divide 33181200?
True
Is 27 a factor of 70523289?
False
Does 121 divide 678452503?
False
Is 155 a factor of 30108814?
False
Is 23162484 a multiple of 474?
True
Does 8 divide 236799960?
True
Is 856216982 a multiple of 39?
False
Does 6 divide 34308702?
True
Does 16 divide 299006240?
True
Is 707942142 a multiple of 1399?
False
Is 9768276 a multiple of 3186?
True
Is 19089336 a multiple of 332?
True
Is 6339 a factor of 354331625?
False
Is 4396199 a multiple of 547?
False
Is 80 a factor of 13983440?
True
Is 12 a factor of 18268128?
True
Is 6 a factor of 133376040?
True
Is 873795966 a multiple of 278?
False
Is 114481700 a multiple of 74?
True
Is 365202046 a multiple of 6?
False
Is 137341659 a multiple of 7?
True
Does 469 divide 1175599152?
True
Is 47488980 a multiple of 20?
True
Does 202 divide 24187076?
True
Is 95 a factor of 1363562289?
False
Is 971 a factor of 42087078?
False
Does 529 divide 82054148?
False
Is 693645372 a multiple of 5628?
True
Is 50456624 a multiple of 2481?
False
Does 842 divide 228613509?
False
Does 642 divide 53513268?
True
Is 35 a factor of 16850666?
False
Does 6 divide 62203320?
True
Is 2819499 even?
False
Is 3286 a factor of 59101996?
True
Is 52970019 a multiple of 1387?
False
Is 55016506 a multiple of 622?
False
Is 637 a factor of 900385486?
True
Does 1208 divide 25261301?
False
Does 13 divide 1659216819?
True
Does 22 divide 465513422?
True
Is 8 a factor of 371776464?
True
Is 93322537 a multiple of 28?
False
Does 385 divide 133648900?
True
Is 40704112 a multiple of 46?
True
Is 19651600 a multiple of 4?
True
Does 919 divide 810297923?
True
Is 456988434 a multiple of 129?
True
Does 38 divide 17384734?
True
Is 135308638 a multiple of 303?
False
Is 105631665 a multiple of 100?
False
Does 255 divide 429968250?
True
Is 11 a factor of 55809017?
True
Does 2286 divide 67638168?
True
Does 54 divide 24846659?
False
Is 63 a factor of 59083479?
True
Does 196 divide 16822680?
True
Does 467 divide 79392802?
True
Is 58041464 a multiple of 1229?
False
Does 16 divide 1043963472?
True
Is 290 a factor of 80090460?
True
Does 310 divide 19549193?
False
Is 376095010 a multiple of 74?
True
Is 325 a factor of 892803024?
False
Is 3935769 a multiple of 235?
False
Is 28 a factor of 867022485?
False
Is 10 a factor of 2337000?
True
Is 1857682820 a multiple of 6460?
True
Is 642162608 a multiple of 62?
False
Does 462 divide 706127268?
True
Does 272 divide 106075376?
True
Does 27 divide 20759780?
False
Does 6369 divide 610080141?
True
Is 180 a factor of 313423740?
True
Does 55 divide 478818118?
False
Is 5705 a factor of 129969449?
False
Is 215600076 a multiple of 486?
False
Is 41 a factor of 294993893?
True
Does 869 divide 272308327?
False
Is 62 a factor of 1855403816?
True
Is 339 a factor of 5255944?
False
Does 128 divide 158052480?
True
Is 16 a factor of 9900080?
True
Does 103 divide 34713781?
True
Is 88283390 a multiple of 1222?
True
Does 109 divide 115325182?
False
Does 10 divide 740858506?
False
Is 48732165 a multiple of 135?
True
Is 138 a factor of 4624242?
True
Is 203000384 a multiple of 4?
True
Does 1165 divide 237302610?
False
Is 119739994 a multiple of 11?
True
Is 823 a factor of 94154071?
False
Does 76 divide 2116781295?
False
Does 3153 divide 5695282818?
True
Is 4914 a factor of 348083190?
True
Is 42979781 a multiple of 323?
False
Is 37 a factor of 118196463?
True
Is 73617549 a multiple of 500?
False
Is 10061 a factor of 2989635408?
False
Is 229 a factor of 27623640?
False
Does 19 divide 268727565?
False
Is 584 a factor of 609797965?
False
Is 353 a factor of 51121704?
False
Is 15 a factor of 1051727010?
True
Is 4142 a factor of 118080136?
True
Is 25452504 a multiple of 154?
True
Is 32 a factor of 120981920?
True
Is 68146610 a multiple of 5?
True
Does 434 divide 614923502?
False
Is 39156045 a multiple of 1024?
False
Is 10 a factor of 9427290?
True
Is 7922408 a multiple of 52?
True
Is 52757460 a multiple of 2380?
True
Is 90 a factor of 18509697?
False
Is 139656185 a multiple of 20?
False
Is 2 a factor of 113211335?
False
Does 11259 divide 2314356240?
False
Is 6941704 a multiple of 118?
True
Does 18 divide 303177153?
False
Is 33 a factor of 21927065?
False
Does 3 divide 330248244?
True
Is 987377365 a multiple of 19?
False
Is 42708344 a multiple of 1673?
True
Does 316 divide 905434168?
True
Does 875 divide 26559750?
True
Is 983299050 a multiple of 15?
True
Does 167 divide 1183470550?
True
Is 36973445 a multiple of 5?
True
Does 2526 divide 627824670?
True
Is 2317799 a multiple of 43?
False
Does 45 divide 60009030?
True
Is 212835457 a multiple of 3156?
False
Is 1906 a factor of 106465348?
True
Is 310718559 a multiple of 771?
False
Does 1468 divide 20425752?
True
Does 678 divide 1977774138?
True
Does 93 divide 18247251?
True
Does 65 divide 55075995?
True
Is 1051735 a multiple of 3?
False
Does 33 divide 2596197285?
True
Does 2095 divide 1233607230?
True
Does 109 divide 3280027?
False
Does 215 divide 81127978?
False
Does 175 divide 684758278?
False
Is 41 a factor of 236157069?
False
Is 173296095 a multiple of 21?
True
Is 90900521 a multiple of 3499?
True
Is 108887351 a multiple of 589?
False
Does 5 divide 6943410?
True
Is 118 a factor of 124687296?
True
Is 27 a factor of 93826161?
True
Is 133079232 a multiple of 481?
True
Is 29832315 a multiple of 184?
False
Does 3 divide 10890187?
False
Does 179 divide 12717055?
True
Is 49398195 a multiple of 209?
True
Is 24629338 a multiple of 16?
False
Is 109962887 a multiple of 281?
True
Is 145272867 a multiple of
|
{
"pile_set_name": "DM Mathematics"
}
|
(base 7) to base 13
63c
What is 32201011 (base 4) in base 9?
100507
What is -1012 (base 13) in base 5?
-32322
What is 33301 (base 4) in base 10?
1009
Convert -252642 (base 7) to base 14.
-12dc9
What is 10021 (base 6) in base 7?
3550
5718 (base 9) to base 6
31325
What is -838 (base 15) in base 10?
-1853
Convert 12231 (base 5) to base 16.
3ad
What is -5942 (base 12) in base 5?
-304421
Convert -4196 (base 13) to base 3.
-110110022
What is 101101 (base 2) in base 12?
39
Convert 200210 (base 3) to base 11.
421
Convert 205 (base 15) to base 13.
290
-62d1 (base 15) to base 12
-10114
56436 (base 7) to base 12
8326
Convert 339 (base 14) to base 13.
3a2
What is 1078 (base 11) in base 6?
10320
23061 (base 7) to base 14
21d8
What is 3478 (base 9) in base 14?
d26
What is -9430 (base 10) in base 9?
-13837
What is -102346 (base 7) in base 13?
-8077
What is 1956 (base 11) in base 5?
34411
Convert -1111100 (base 2) to base 3.
-11121
What is 57b (base 14) in base 16?
441
-203 (base 4) to base 5
-120
Convert 3c71 (base 13) to base 14.
3263
Convert 1420214 (base 5) to base 16.
72fa
-11817 (base 11) to base 6
-210302
Convert -4555 (base 11) to base 16.
-1765
aaa (base 12) to base 2
11000100010
12013130 (base 4) to base 11
17905
-681c (base 14) to base 10
-18058
What is 723 (base 8) in base 16?
1d3
Convert -11300 (base 4) to base 3.
-111122
-17680 (base 9) to base 11
-9201
Convert 8f01 (base 16) to base 13.
13881
-8419 (base 10) to base 7
-33355
Convert -140 (base 13) to base 2.
-11011101
593 (base 14) to base 6
5045
What is -9b69 (base 13) in base 2?
-101010011010111
-b0 (base 15) to base 11
-140
What is -710 (base 9) in base 7?
-1452
Convert -2102212000 (base 3) to base 13.
-18b0a
Convert 292 (base 14) to base 16.
208
1033314 (base 5) to base 12
a487
What is 549 (base 10) in base 2?
1000100101
What is 24212 (base 7) in base 16?
1889
Convert 1 (base 11) to base 7.
1
-21134 (base 6) to base 3
-10221011
Convert -53 (base 11) to base 12.
-4a
What is -2594 (base 11) in base 12?
-1b4a
Convert -18269 (base 15) to base 14.
-206bc
What is -1212200 (base 4) in base 8?
-14640
Convert 57651 (base 10) to base 14.
1701d
15ac (base 13) to base 14
1236
-90 (base 10) to base 12
-76
What is -14757 (base 9) in base 11?
-7649
Convert -2201 (base 9) to base 4.
-121111
525 (base 6) to base 3
21022
883 (base 14) to base 9
2270
What is 13330 (base 4) in base 3?
200211
Convert 2c6 (base 13) to base 14.
27a
Convert -3153 (base 8) to base 6.
-11335
Convert 4332 (base 6) to base 9.
1322
Convert 6010 (base 12) to base 4.
2202030
74 (base 14) to base 10
102
-1461 (base 11) to base 2
-11101011010
-3909 (base 10) to base 3
-12100210
What is -15792 (base 10) in base 3?
-210122220
14b3e (base 15) to base 2
10000010001100011
What is 194d0 (base 14) in base 4?
33221032
112102201 (base 3) to base 10
10522
What is -345210 (base 6) in base 11?
-20323
-1707 (base 9) to base 6
-10011
What is 11532 (base 6) in base 2?
11010110000
What is 611 (base 10) in base 8?
1143
Convert 1325 (base 6) to base 15.
17b
What is 3402 (base 9) in base 14?
cb7
What is -202212 (base 3) in base 11?
-472
What is 1451 (base 10) in base 8?
2653
Convert 3131 (base 4) to base 16.
dd
-1032122 (base 4) to base 6
-35122
Convert -2623 (base 13) to base 15.
-1927
26322 (base 7) to base 12
4093
Convert -100001000001 (base 2) to base 12.
-1281
What is 1413 (base 8) in base 3?
1001212
-289e (base 15) to base 5
-234244
What is -2a4a (base 12) in base 7?
-20305
-471 (base 8) to base 10
-313
What is -1615 (base 7) in base 10?
-649
Convert 255a (base 13) to base 4.
1103002
What is -493 (base 16) in base 7?
-3262
Convert -264d (base 14) to base 11.
-5071
What is 100202102 (base 3) in base 5?
211422
Convert -1cd6 (base 15) to base 3.
-22121110
Convert -71716 (base 9) to base 7.
-254502
Convert -62 (base 10) to base 6.
-142
What is -aa9 (base 16) in base 5?
-41404
2a1 (base 11) to base 15
188
Convert 13b5 (base 15) to base 14.
1776
Convert 238 (base 14) to base 4.
12322
What is -11100000 (base 2) in base 13?
-143
What is 245 (base 9) in base 8?
313
Convert -2417 (base 12) to base 5.
-112201
Convert 4a7 (base 11) to base 5.
4401
Convert 6b7 (base 13) to base 6.
5220
2332 (base 7) to base 4
31120
-5882 (base 14) to base 16
-3c2a
What is 135 (base 9) in base 10?
113
What is -5aa (base 15) in base 3?
-1202121
Convert -40085 (base 9) to base 11.
-18859
Convert -4143103 (base 5) to base 16.
-10bb0
Convert 11101100001011 (base 2) to base 16.
3b0b
What is -829 (base 12) in base 15?
-540
6d0 (base 15) to base 3
2010020
What is cac (base 15) in base 7?
11226
b81 (base 12) to base 6
11441
What is 848 (base 11) in base 14?
52c
Convert 1011220111 (base 3) to base 6.
255404
What is -25 (base 7) in base 2?
-10011
3537 (base 8) to base 4
131133
What is 111220222 (base 3) in base 8?
23647
Convert 10000102021 (base 3) to base 4.
32133121
15374 (base 13) to base 7
225023
What is 6542 (base 8) in base 9?
4626
What is 1344 (base 5) in base 9?
268
What is 102004 (base 5) in base 10?
3379
What is 635 (base 10) in base 11?
528
What is -51876 (base 9) in base 12?
-179a3
What is 4986 (base 15) in base 9?
23420
Convert -104 (base 6) to base 16.
-28
Convert 11110001001 (base 2) to base 14.
9bb
Convert -54030 (base 7) to base 16.
-3456
What is -1602 (base 8) in base 3?
-1020021
Convert -250 (base 11) to base 16.
-129
Convert -80198 (base 10) to base 14.
-21326
What is -2461 (base 8) in base 6?
-10053
Convert 3007 (base 10) to base 9.
4111
What is -6783 (base 9) in base 3?
-20212210
62a6 (base 12) to base 15
32dc
Convert -541c (base 14) to base 6.
-151134
What is -163753 (base 8) in base 4?
-32133223
What is 202122 (base 3) in base 8?
1055
What is -302114 (base 5) in base 7?
-40106
What is 956 (base 12) in base 14?
6d4
Convert -19714 (base 12) to base 16.
-91c0
3466 (base 7) to base 14
66d
What is -10132 (base 4) in base 7?
-556
What is -4817 (base 11) in base 9?
-8581
-b97 (base 14) to base 3
-10010210
Convert -13 (base 4) to base 14.
-7
Convert 342202 (base 6) to base 16.
715a
What is 1041 (base 5) in base 9?
172
Convert 1b3d8 (base 14) to base 3.
10112011120
2214a (base 12) to base 7
245401
-216 (base 15) to base 8
-727
Convert -1167 (base 11) to base 5.
-22100
What is -1012100122 (base 3) in base 7?
-125525
2331 (base 6) to base 7
1426
What is -392 (base 12) in base 4?
-20132
What is 14563 (base 8) in base 6?
50055
What is -3288 (base 13) in base 14?
-27cd
Convert -411200 (base 6) to base 4.
-13332300
What is -12522 (base 13) in base 14?
-c484
What is 11113 (base 5) in base 6?
3343
What is 1a7e (base 15) in base 9?
7782
-10000101010101101 (base 2) to base 7
-403015
Convert 110010111000101 (base 2) to base 4.
12113011
Convert -16170 (base 11) to base 13.
-a50a
What is 31223 (base 4) in base 13?
524
What is -1100202022 (base 3) in base 11?
-19147
What is -221 (base 10) in base 14?
-11b
What is -33010 (base 4) in base 16?
-3c4
What is 43783 (base 10) in base 2?
1010101100000111
-150164 (base 7) to base 3
-1110122122
What is -949 (base 12) in base 15?
-603
4d7 (base 16) to base 10
1239
424 (base 8) to base 12
1b0
Convert -1eb (base 15) to base 8.
-676
What is -203321 (base 4) in base 10?
-2297
18a2 (base 11) to base 3
10022022
Convert -9906 (base 11) to base 7.
-53055
What is 31755 (base 9) in base 15?
636e
Convert 1031030 (base 4) to base 15.
16e5
20413 (base 5) to base 4
111032
What is 308 (base 14) in base 13?
36b
Convert -220 (base 6) to base 15.
-59
What is -151a (base 15) in base 14?
-1913
Convert 4236 (base 13) to base 16.
23d3
Convert 3467 (base 12) to base 11.
4429
Convert 1310 (base 13) to base 16.
a9d
What is -8a9 (base 13) in base 2?
-10111010011
What is 812e (base 15) in base 12?
13945
-1c3 (base 16) to base 15
-201
885 (base 13) to base 4
112311
Convert 1112202 (base 3) to base 9.
1482
What is -4206 (base 9) in base 13?
-1533
-701 (base 10) to base 12
-4a5
-101101011110100 (base 2) to base 8
-55364
-314413 (base 6) to base 9
-38150
What is -1302 (base 6) in base 14?
-194
Convert -2042 (base 12) to base 7.
-13136
-20275 (base 8) to base 11
-632a
-11210002 (base 3) to base 2
-110110011101
What is -215504 (base 6) in base 16?
-46c0
What is -6542 (base 7) in base 6?
-14445
Convert -2a1b (base 15) to base 2.
-10001101000010
Convert 6122 (base 7) to base 15.
96
|
{
"pile_set_name": "DM Mathematics"
}
|
ivided by 16?
13
Suppose -868*m - 150 = -878*m. Calculate the remainder when 64 is divided by m.
4
Let y be 8/4*(-6)/(-4). Let p(b) = 5*b. What is the remainder when 15/5 - 1*-39 is divided by p(y)?
12
Let g(s) = s**3 - s**2 + 4*s - 1. What is the remainder when g(4) is divided by ((-423)/(-282))/((-3)/(-32))?
15
Let q(g) be the second derivative of -g**3/6 - 4*g**2 + 2*g. Let s = -8 - -12. What is the remainder when s is divided by q(-11)?
1
Let v(t) = 37*t**2 + 7*t + 4. Let d = 28 + -8. Calculate the remainder when v(-2) is divided by d.
18
Suppose 7*w = 2*w + 20. Suppose w*q + 22960 = -0*q. What is the remainder when ((-4)/(-5))/((-56)/q) is divided by 28?
26
Let c(n) = -n**3 + 11*n**2 - 20*n + 1. Calculate the remainder when 111 is divided by c(8).
12
Suppose 0*y + 12*y - 432 = 0. Suppose 5*s - y = 204. What is the remainder when s is divided by 13?
9
Suppose -51*w + 23*w + 3276 = 0. Calculate the remainder when w is divided by (2*-1)/(3/(-36)).
21
Suppose -5*x = -2*a - 85, -x + 17 = 5*a - 0. Suppose 7*u - 3*u - 48 = 0. Let l = u + -2. What is the remainder when x is divided by l?
7
Let d = -54 - -37. Let q = 51 + d. Calculate the remainder when q is divided by 7.
6
Let d(t) = 19*t + 178. Calculate the remainder when 90 is divided by d(-7).
0
Let v(p) be the third derivative of -p**6/120 - p**5/6 - 11*p**4/24 - 2*p**3 - 4*p**2. What is the remainder when 23 is divided by v(-9)?
5
Let w be 2168/3 + (-50)/75. Suppose 0 = 4*s + 194 - w. What is the remainder when s is divided by 27?
24
Let q = 66 - 63. Suppose q*h - 99 = 3*f, -2 = -4*f + 6. Suppose 3*i - 6*i = -30. Calculate the remainder when h is divided by i.
5
Let l = -53 - -58. Let d(w) = w**3 - 3*w**2 - 10*w + 4. What is the remainder when 37 is divided by d(l)?
1
Suppose 10*x - 89 = 2011. What is the remainder when x is divided by 57?
39
Suppose 17*s - 21*s + 12 = 0. Let n(u) = u**3 - 4*u**2 + 3*u + 2. Calculate the remainder when 7 is divided by n(s).
1
Let k = -88 + 148. Suppose -4*j - 2*j = -k. Calculate the remainder when 56 is divided by j.
6
Let a be (6/(-6))/((-1)/(-159)). Let l = -109 - a. Calculate the remainder when l is divided by 17.
16
Suppose 19*q - 18*q = j + 538, 0 = -5*q + 3*j + 2684. What is the remainder when q is divided by 60?
55
Let d(s) = 2*s**2 + 2. Suppose 134*m - 130*m - 20 = 0. Suppose 2*v - 16 = -0*u - 2*u, m*u = v - 32. What is the remainder when d(-4) is divided by v?
10
Suppose -4*t + 3*t = -26. Suppose s - 22 = -5*a + 5*s, 5*a - t = 2*s. Suppose a = g + 4*l - 8, 4*g - 4*l = -4. Calculate the remainder when g is divided by 2.
0
Let l be (2/6)/(2/474). Let s = l - 23. Let p(r) = -r**3 - 33*r**2 - 34*r - 44. What is the remainder when s is divided by p(-32)?
16
Let b be 229/(-11) + 10/165*-3. Let s(y) be the first derivative of -3*y**2 + 19*y - 2. Calculate the remainder when s(b) is divided by 37.
34
Let z = -23 + 36. Let m(l) = l**2 - 20*l + 63. Calculate the remainder when m(19) is divided by z.
5
Let m = -14 - -26. Let l = 26 + m. What is the remainder when l is divided by 22?
16
Suppose -7*q - 4*s = -2*q - 99, 0 = -2*q + 2*s + 36. Let v(i) = -9*i - 1. What is the remainder when q is divided by v(-1)?
3
Calculate the remainder when 122 is divided by (-11)/(22/(-76))*(1 + 0).
8
Suppose -4*f = 2*m + 2 - 32, 4*m - 30 = -2*f. Suppose m*t = 118 + 87. What is the remainder when t is divided by 11?
8
Suppose 3*d = -5*y - 8 - 15, -3*y = 2*d + 14. Let w = y - -23. Let a = 2238 + -2203. What is the remainder when a is divided by w?
16
Suppose 4*b + 176 = -5*o + 539, 3*o = -2*b + 217. Suppose 0*p - 5*p + 150 = 0. Let l = p - 6. Calculate the remainder when o is divided by l.
23
Let k(s) = -s**3 - s + 429. What is the remainder when k(0) is divided by 12?
9
Let p = -151 - -243. What is the remainder when 133 is divided by p?
41
Calculate the remainder when 114 is divided by ((-3232)/(-40) - -9) + 1/5.
24
Suppose -6 = c - 4*c. Suppose 0 = -c*a + 4*v + 66, 2*a = 3*a + 4*v - 51. Suppose -a = -3*s - 0. Calculate the remainder when 25 is divided by s.
12
Let l = 49 - 23. Suppose -2*w + 18 = -0*w. Calculate the remainder when l is divided by w.
8
Let u(p) = -2*p**2 + 21*p + 42. What is the remainder when (-1)/(2*(-1)/122) is divided by u(11)?
30
Suppose 2*m - 2*n + 5*n = 49, -3*m + 78 = 3*n. Calculate the remainder when 113 is divided by m.
26
Let o(g) = g**2 + 11*g + 80. What is the remainder when o(-13) is divided by 93?
13
Suppose 5*i + 0*i = 3*u + 10, 3*u - 6 = -3*i. Suppose d - 5 = -3*x + 13, u = x + 5*d - 6. What is the remainder when 101 is divided by 144/x + (4 - 2)?
23
Suppose 0*n + 2*n = 5*k - 22, -4*n - 68 = 2*k. Let z = n + -5. Let a = z - -46. Calculate the remainder when 46 is divided by a.
21
Let m(o) be the first derivative of o**3/3 - o**2/2 - 2*o + 3. What is the remainder when m(10) is divided by 23?
19
Let v(h) = -5*h + 251. What is the remainder when (-4)/1 + (3 - -43) is divided by v(48)?
9
What is the remainder when (-9506)/(-21) + 4/(-6) is divided by 91?
88
Let n(a) = -97*a + 121. What is the remainder when n(-2) is divided by 19?
11
Suppose 0 = 2*t + 29 - 133. Calculate the remainder when t is divided by 19.
14
Let s be -4 - 14/(-2) - 2. What is the remainder when 59 is divided by (-3 - 2)*(-3)/s?
14
Suppose 26*r - 31*r = -30. Suppose -2*j = i - 28, r*i + 4*j - 146 = i. What is the remainder when i is divided by 8?
6
Suppose 3*c = -4*w + 66, -3*c + 6*c - 2*w = 66. Suppose -c = -2*g - 28. Calculate the remainder when 17 is divided by (30/(-12))/(g/6).
2
Suppose -10*g - 1260 = -24*g. What is the remainder when 271 is divided by g?
1
Let i(z) = -3*z - 1. Let f(t) = -t**3 + 5*t**2 - 1. Let v be f(5). Let w(c) = -c**2 + 2*c + 2. What is the remainder when w(2) is divided by i(v)?
0
Suppose o + 2 - 114 = 0. Let d = 141 - o. What is the remainder when d is divided by 140/18 + 4/18?
5
Suppose -9*q = 5*q - 3878. What is the remainder when q is divided by 35?
32
Let f(l) = -l**3 - 5*l**2 + 1. Let y be f(-3). Let b = y - -32. Let a = 82 + -41. Calculate the remainder when a is divided by b.
11
Let s(z) = -6*z + 1. Let f = -41 + 45. Suppose -2*a - f*a + 54 = 0. Calculate the remainder when s(-4) is divided by a.
7
Let r(f) = 3 + f**2 - 7*f + 16*f - 9. Let g be r(-10). Suppose 4*k + 60 - 24 = 4*m, g*m = -2*k + 36. Calculate the remainder when 25 is divided by m.
7
Let x(d) = -2*d. Let f be x(2). Let o be -3 - (4 + -1 + f). Let g = 5 - o. What is the remainder when 11 is divided by g?
4
Let q be 1/3 + 156/(-9). Let v = 90 + q. What is the remainder when v is divided by 37?
36
Suppose 3*i - 34 + 7 = 0. Calculate the remainder when 24 is divided by (-4)/(-12)*3*i.
6
Let p = 1 + 9. Let v = 17 + 77. Suppose -76 = 3*t - v. What is the remainder when p is divided by t?
4
Let k = 224 + -217. Let n(f) be the second derivative of f**5/20 - 3*f**4/4 + 2*f**3/3 - 11*f**2/2 + f. Calculate the remainder when n(9) is divided by k.
4
Let o be (2/7)/(3/21). Suppose 20 = o*l - 2. What is the remainder when 21 is divided by l?
10
Suppose 3*g + 2*g = 3*y + 379, -3 = y. Calculate the remainder when g is divided by 17.
6
Let t(z) = -3*z + 74. What is the remainder when t(-40) is divided by (-298)/(-6) - (-4)/(-6)?
47
Suppose 10 = 4*t - 2*f, f + 0 + 1 = t. What is the remainder when 25 is divided by t?
1
Suppose 0 = 2*v - 5*k + 5, -v + 21 - 7 = 3*k. Let d(y) = y - 4. What is the remainder when v is divided by d(7)?
2
Suppose 6 = -2*g + g. Let p = 17 + g. Let v(j) = j**3 + 5*j**2 - 3*j + 6. Calculate the remainder when v(-5) is divided by p.
10
Let o be -65*(2 + 39/(-15)). Suppose m = 2*m - o. Let n(r) = -r**3 - 6*r**2 + 14. Calculate the remainder when m is divided by n(-6).
11
Let b be 9*(-6)/(0 - 18) + 4. Let z(c) = 4*c + c + 2 - 4*c. What is the remainder when 24 is divided by z(b)?
6
Calculate the remainder when 418 is divided by (-14)/7 - (-14 + -2).
12
Suppose 7*s - 316 = -127. Let a(b) = 214*b**2 + b + 1. Calculate the remainder when a(-1) is divided by s.
25
Let m(z) = z**2 - 5*z + 8. Suppose 3*b - 7 = -13. Calculate the remainder when (0 + 1)/((-327)/165 - b) is divided by m(6).
13
Suppose -5*x - 10 = 8*t - 3*t, 3*t = -6. Suppose -4*k - 42 - 34 = x. Let y = k + 28. Calculate the remainder when 15 is divided by y.
6
Suppose -11*x + 19*x - 400 = 0. Suppose a + 4*a - x
|
{
"pile_set_name": "DM Mathematics"
}
|
r n.
0
Suppose -4*x + 1012 = -4*u, 11*u - 7*u + 1002 = 2*x. Let v = u + 250. Solve v = 5*m - 23 for m.
5
Suppose 2*b - 5*s - 68 = 0, 0 = 4*b - 90*s + 94*s - 192. Solve -10*d = -b*d - 136 for d.
-4
Let r be 2 - 16/(-4) - 2/(-14)*0. Solve r*i = 110 - 122 for i.
-2
Let j = -1072 - -1098. Solve -3*z = -j*z for z.
0
Suppose -3*v = -4*l - 5, -2*l + 17 + 12 = 3*v. Solve 175*g = 168*g + v for g.
1
Let o be -3 - (-1 + -1 + 12). Let y(r) = r**2 + 9*r - 50. Let b be y(o). Solve -4 = b*s + 2 for s.
-3
Let k(s) = -s + 5. Let n be k(0). Let b(l) = l**3 - 38*l**2 - 79*l - 42. Let o be b(40). Let d be (-2 - o)/(n - 2). Solve -2*y = -d*y - 4 for y.
2
Let d(a) = 3*a**2 + 2*a + 3. Let s be d(3). Suppose -b = -17 - 10. Let h = s - b. Solve 4*j - j = -h for j.
-3
Let q = 38 + -27. Suppose 35 - q = 2*a - 5*b, -5*a + 5*b = -30. Suppose 5*z = 5*w - 20 - 10, -2*w - 5*z = a. Solve 3*j - w = 7*j for j.
-1
Let v(j) = j**3 + 6*j**2 - 15*j + 10. Let r be v(-8). Suppose -4 = -4*w, 2*w - r = -l + 4. Solve 1 = l*h - 7 for h.
2
Let v = 1987 + -1982. Solve v = -83*c + 78*c for c.
-1
Let s = -262 + 265. Let k = -4 + 12. Solve 0 = -s*l - l + k for l.
2
Suppose 6*x - 5*x - 26 = 5*z, -z - 22 = -3*x. Suppose 3*u + 5*k = x*u - 30, -2*k + 14 = 4*u. Solve u*l = l for l.
0
Let r be (-15)/(-1) - (-3 + 1). Let u be (-3)/10*(7 - r). Solve 5*m + u = 6*m for m.
3
Suppose -3*k + 4 = 1. Let o = 2 - k. Let f(q) = 5*q**3 + q**2 - q - 1. Let y be f(o). Solve 0 = y*z + 2 + 2 for z.
-1
Let u(y) = 5*y - 85. Let f be u(17). Suppose f = i + 20*i. Solve i*l - 5 = -l for l.
5
Let d(y) = 29*y**2 + y. Let s be d(1). Let m be (s/4 + -7)*(1 + -1). Solve m*o + 3*o + 12 = 0 for o.
-4
Let r be 11 - (-3 + 4)*6. Suppose 4*x + 3*l + 7 = 0, -7*x - r*l - 33 = -11*x. Solve 0 = -q - x*q - 3 for q.
-1
Let x(j) be the first derivative of j**2 - 27*j + 2. Let t(h) = 2*h**3 - 22*h**2 - 26*h + 39. Let d be t(12). Let v be x(d). Solve s = 4*s - v for s.
1
Suppose 413*w - 217*w = 209*w - 1079. Solve w*n - 86*n - 15 = 0 for n.
-5
Suppose -78*r + 50 + 436 = 84*r. Solve -r = 483*v - 480*v for v.
-1
Suppose 13*w = 2*p + 71, -3*w + 21 - 10 = -p. Solve 0 = -n - 13 + p for n.
-3
Let i(k) be the first derivative of -k**2/2 + 2*k + 79. Let y = 13 - 15. Let t be i(y). Solve 12 + 4 = t*c for c.
4
Let x(y) = 69*y**2 - 16*y + 30. Let a be x(3). Let n = 607 - a. Solve 4*t + 0*t = n for t.
1
Let x be (5*(-24)/(-200))/((-3)/(-75)). Let m = 116 + -84. Solve -m*z = -35*z - x for z.
-5
Let f(z) = -z**2 + z - 13. Let x be f(8). Let v = x - -125. Let t = v + -56. Solve -p - 2 + 0 = t for p.
-2
Let g be (-4)/140*-515 + 2/7. Let a = g + -45. Let k = a + 34. Solve -k = 2*f + 6 for f.
-5
Let u be (-672)/105*3/((-18)/15). Suppose u*c - 23*c + 70 = 0. Solve -c*p = -5*p + 10 for p.
-2
Let a be (313 + 7)/(2/2). Suppose 7*c - a + 250 = 0. Solve -3*d + c = -d for d.
5
Let o be 6/(3 + -19 + 19). Suppose 5 = -2*v - 3. Let i(x) = x**2 + 4*x + 1. Let y be i(v). Solve w = y + o for w.
3
Let r(f) = -f**2 - 14*f - 42. Let t(s) = 9*s + 9. Let y be t(-2). Let x be r(y). Solve -2*z + 7 = -x for z.
5
Suppose 11*n = -16 + 38. Let j(h) = -9*h**3 + 2*h + 1. Let u be j(-1). Let c be 20/u*12/10. Solve n = p + c for p.
-1
Suppose 6*u - 39 = -447. Let g = -63 - u. Solve 12 + 3 = g*c for c.
3
Suppose -129 = 924*a - 967*a. Suppose 0 = 4*k - 5*k + 19. Solve -a = -4*g - k for g.
-4
Let s = 1 - -2. Let y(i) = -i**3 - 5*i - 5. Let h be y(-1). Let d(v) = 12*v**2 - 4*v + 2. Let t be d(h). Solve -t = -s*p + p for p.
5
Let d = 687 + -447. Suppose d = -2*v - 10*v. Let m be 14/10 + 8/v. Solve 0 = -2*u + m - 5 for u.
-2
Let h be (264/(-28))/((-20)/70). Solve 34*a = h*a + 5 for a.
5
Let p(g) = 32*g + 12. Let l be p(6). Let u be (-2 + 5)/((-18)/l) - 2. Let i = u - -38. Solve 3*k - 4*k = -i for k.
2
Let h = -3 - -3. Let y(a) = -21*a**2 - 18*a - a**3 + 2 + 47*a + 17*a. Let i be y(-23). Solve h = o - i*o - 4 for o.
-4
Let h = -99 + 239. Suppose -3*m + h = 131. Solve -m*j - 22 = -7 for j.
-5
Let p(x) = 8*x + 146. Let n be p(-18). Solve n*d - 7*d = -15 for d.
3
Let f = 8134 - 8119. Solve 246 = -f*v - 26*v for v.
-6
Let l(j) = -j**3 + j**2 + 2*j + 3. Let t be l(0). Solve 0 = t*w - 41 + 35 for w.
2
Let g be 57/(-76)*(1 - -3)*-1. Suppose 4*l + 20 + 2 = 3*d, 4 = -4*d - g*l. Solve 7 = -d*p + 9 for p.
1
Let u be 2 - 20/11 - (-490)/(-154). Let p be (-24)/(-6)*(u + -2)*-2. Solve 5 = -p*f + 39*f for f.
-5
Let v(d) = -477*d + 2912. Let c be v(6). Solve -c = 19*l + 26 for l.
-4
Let w be (-18)/(-1 - 2) + -6. Let a(c) = -c**2 + 3 - c**2 - 3*c**2 + 7*c**2 - 4*c + c**3. Let i be a(1). Solve 2*y + i + 2 = w for y.
-2
Let h be (-2 + 11)*((-38)/(-9) - 4). Suppose 20 = -4*o, h*o = -5*f + 11 + 4. Solve f = 2*n + 1 for n.
2
Let h(g) = 6*g**2 + 14*g + 28. Let y(d) = -7*d**2 - 14*d - 28. Let t(w) = 6*h(w) + 5*y(w). Let q be t(-14). Let f be (-4)/4*0 - -4. Solve q = -f*m + 8 for m.
-5
Let y(x) = 2*x**3 - 9*x**2 + 10*x + 6. Let m be y(6). Suppose 14*q - m + 118 = 0. Solve 5*h - q - 11 = 0 for h.
3
Let u(v) = v**2 + v - 5. Let p be u(-4). Suppose 0 = 4*f + 2*d + 10 - 18, f - 12 = -3*d. Solve f = 7*o - 0 - p for o.
1
Let c be 61/549 - 1466/(-9) - 9. Solve -49*k - 7 + c = 0 for k.
3
Let l(y) = 3*y**2 - 8*y + 15. Let a(p) = -4*p**2 + 7*p - 16. Let g(v) = 2*a(v) + 3*l(v). Let q = -106 + 115. Let r be g(q). Solve -j + r = j for j.
2
Suppose -163*k - 183*k = -332*k. Solve 8*z - 28*z + 100 = k for z.
5
Let c be (-4)/6 + 2944/384. Solve -c*p - 3*p = 3*p for p.
0
Suppose 3*b + 4*v = 23, 5*b - 4*v - 3 = 78. Solve 15*x - b = -43 for x.
-2
Let h = 1 - 1. Suppose -2*b + 0 + 6 = h. Suppose -7*j = -563 + 280 + 262. Solve 9 = b*l - j for l.
4
Let y(n) = 3*n + 58. Let t be y(4). Let g = t - 66. Solve 3*z - 7 = -g*z for z.
1
Suppose -23*m + 26*m - 2*o - 23 = 0, -m - 2*o = -21. Solve -m*x = x - 48 for x.
4
Let z be (-3 - (2 + -2)) + 20. Let s be (4/3 + (2 - -2))*3. Let m = z - s. Solve -a = m - 0 for a.
-1
Suppose 0 = h + 5*t + 9, -h - 4*t + 20 - 26 = 0. Suppose 2*s - 1 - 5 = 0. Solve s*w = h*w for w.
0
Let f = 76 - 71. Suppose f*j = 60 + 20. Let t = j - 8. Solve -t - 7 = 3*x for x.
-5
Let o(m) = m**3 + 13*m**2 + 32*m - 12. Let l be o(-5). Solve -59*k + l = -90 for k.
2
Suppose -4*y = -27*m + 28*m - 2, 4*m = -2*y + 8. Solve 7*l - 1289 + 1310 = y for l.
-3
Let q(n) = -n**3 + 63*n**2 - 339*n - 169. Let p be q(57). Solve 0 = -p*z - 0*z - 8 for z.
-4
Suppose 0*v = -v + 11. Suppose 87 = v*k - 1. Solve 0 = -2*a - 2*a + k for a.
2
Let o(u) = 2*u**2 + 98*u + 180. Let h be o(-49). Solve h = 24*g + 6*g for g.
6
Let j be 960/35 - 40/(-70). Let n be ((-84)/(-98))/(12/j). Solve l + n - 3 = 0 for l.
1
Let k be (1/(-3))/((-25)/30*12/3030). Solve -k*j + 102*j - 1 = 0 for j.
1
Let x(u) = u**3 - 92*u**2 + 9*u - 771. Let a be x(92). Solve 41*m = a*m + 64 for m.
-4
Suppose 2*k = -4*n + 7*k + 28, 0 = -4*k. Suppose 2*c + 3*c = -5. Let h = c + n. Solve 0 = 5*x - 2*x + h for x.
-2
Suppose -4*a + 33 = 4*p + 121, 0 = -4*a - 3*p - 91. Let u = -1 - a. Let r = u - 9. Solve -4*d + r = d for d.
3
Suppose -1264 = -153885*h + 153877*h. Solve 7 = 55*r - h for r.
3
Let o be 1*((-15)/(-12))/((-3)/(-36)). Suppose o*g + 1 = 61. Solve -9 + 5 = -g*l for l.
1
Let h = 22944 + -22897. Solve h*a - 133 = 55 for a.
4
Let a(u) = 4*u**2 + 142*u + 678. Let p be a(-5). Solve -83*x = -100*x + p for x.
4
Let k(b) = -17*b + 1883. Let t be k(6). Solve 0 = -t*q + 1770*q - 44 for q.
-4
Let q(l) = -l**3 - 5*l**2 + 60*l + 293. Let y be q(-8). Solve -y*g = 16 + 14 for g.
-6
Let g be ((-88)/448*-8)/(5/35). Solve g*z = -146 + 223 for z.
7
Suppose -4723*t = -4721*t + 2*d - 86, 2*t - 62 = d. Suppose -5*v = -v - 24. Solve v*m = -m + t for m.
5
Suppose -4*p - 15 = 5*v - 24, -4*v + 12 = 2*p. Solve -4 + 29 = -v*i for i.
-5
Let y(i) = 3*i**2 + 113*i + 351. Let t(r) = 2*r**2 + 76*r + 234. Let v(s) = -8*t(s) + 5*y(s). Let f be v(-40). Let p = -4 + 11. Solve -f = -2*u + p for u.
5
Suppose 25*i = 30*i - 10. Suppose -i*q + 0*p + p = -103, 0 = q + p - 56. Let h = 56 - q. Solve -2*n - h*n = 5 for n.
-1
Let v = -3053 - -3223. Solve -105 = -13*k - v for k.
-5
Suppose 2*i + 3*u + 4 = 0, 4*u - 1 = -3*i - 9. Let y be ((-24)/(-28))/(i/(-434))*-2. Let x = 98 + y. Solve 3 = -2*n - x for n.
-4
Let h = -313 + 345. Let w be 0*(15/(-12) - (-24)/h). Let r be (-52)/(-14) - 4/(-14). Solve w = r*g - 2*g for g.
0
Let m(s
|
{
"pile_set_name": "DM Mathematics"
}
|
) + 1378
Simplify (2*sqrt(143)*6)/(1*sqrt(176)).
3*sqrt(13)
Simplify 1 + (3*(sqrt(792) + sqrt(22)) - sqrt(22))/sqrt(2).
1 + 20*sqrt(11)
Simplify ((sqrt(975)*4)/sqrt(3))**2.
5200
Simplify ((2 + sqrt(684) - sqrt(684)) + (sqrt(19) + sqrt(57)/sqrt(3))*-1)**2.
-8*sqrt(19) + 80
Simplify ((sqrt(288)*-3)/(sqrt(225)*-3 - sqrt(225)))**2.
18/25
Simplify (sqrt(85)/(-2*sqrt(605) - sqrt(5)))**2.
17/529
Simplify sqrt(45) + sqrt(360)/(sqrt(8) + sqrt(8)*3).
15*sqrt(5)/4
Simplify 3*(4 + sqrt(1700)*-1)**2*4.
-960*sqrt(17) + 20592
Simplify (1*sqrt(240))/(sqrt(48)/sqrt(4)*-2).
-sqrt(5)
Simplify -2*sqrt(3)*6 + sqrt(3) + sqrt(3)*-2*2.
-15*sqrt(3)
Simplify (sqrt(2940)/sqrt(12) + sqrt(5) - sqrt(5)) + (-3*sqrt(60))/sqrt(12).
4*sqrt(5)
Simplify -3*(sqrt(17) + 2 + sqrt(17)) + -5.
-6*sqrt(17) - 11
Simplify (sqrt(1088) - (-3 + (2 + sqrt(1088) - sqrt(1088))))**2.
16*sqrt(17) + 1089
Simplify (sqrt(1300) + 4)**2*-5.
-6580 - 400*sqrt(13)
Simplify 2 + (sqrt(12)*-2)/sqrt(6) + 6*(sqrt(50))**2.
-2*sqrt(2) + 302
Simplify (-4*(sqrt(5) + 0 - sqrt(5))*-2)**2.
0
Simplify 5 + 2*sqrt(13) + 4.
2*sqrt(13) + 9
Simplify (sqrt(38)/sqrt(50) - ((sqrt(209)*-2 + sqrt(209) + sqrt(209) + sqrt(209))/sqrt(11))**2) + -1.
-20 + sqrt(19)/5
Simplify -1 + (sqrt(704) + 1)**2*-1.
-706 - 16*sqrt(11)
Simplify (5*(sqrt(2448) + 0) + sqrt(2448))*-6.
-432*sqrt(17)
Simplify sqrt(49)/(sqrt(567)*5).
sqrt(7)/45
Simplify sqrt(448) - 4*(sqrt(448) + 2) - sqrt(448) - -4*(-2 + sqrt(448)).
-16
Simplify sqrt(15)/(sqrt(40)/(sqrt(8) + (sqrt(8) - sqrt(16)/sqrt(2)))).
sqrt(3)
Simplify -4 + (sqrt(11) - (sqrt(11) - sqrt(77)/(sqrt(7) + sqrt(21)/sqrt(3)))).
-4 + sqrt(11)/2
Simplify 4*-1*(-5 + sqrt(11)*1).
-4*sqrt(11) + 20
Simplify sqrt(13) + -2*(-1*sqrt(13))**2 + 0.
-26 + sqrt(13)
Simplify sqrt(242) + (1 + 3 + sqrt(242) + sqrt(242))**2.
187*sqrt(2) + 984
Simplify (3 + sqrt(1377)*-1*-6)**2.
324*sqrt(17) + 49581
Simplify -2*(sqrt(104)/(sqrt(8) - sqrt(128)) + sqrt(143)/(sqrt(33)/sqrt(3))).
-4*sqrt(13)/3
Simplify ((sqrt(77) - -2*sqrt(77))/sqrt(7) - sqrt(11))*3.
6*sqrt(11)
Simplify ((-2*sqrt(76) + sqrt(76))*-3 - sqrt(76))**2.
304
Simplify (sqrt(8))**2 + 5 - (sqrt(80)/sqrt(4))/sqrt(10).
-sqrt(2) + 13
Simplify (-6*(-4*sqrt(28) + sqrt(112)*-1))**2.
36288
Simplify -4 + sqrt(14)/(sqrt(2) - sqrt(4)/(-3*sqrt(2))).
-4 + 3*sqrt(7)/4
Simplify (((sqrt(72) - (sqrt(72) - (sqrt(72) + 1))) + 5)**2 + -1)*-2.
-214 - 144*sqrt(2)
Simplify (0 + sqrt(117) + sqrt(117) - sqrt(117)) + 4 - sqrt(117).
4
Simplify sqrt(77)/(sqrt(63) + sqrt(504)/sqrt(8)).
sqrt(11)/6
Simplify (-1 + (sqrt(190) - sqrt(190)*-5*-4)/sqrt(10))**2.
38*sqrt(19) + 6860
Simplify (-2 + sqrt(931) + 0)*-3*-4.
-24 + 84*sqrt(19)
Simplify ((sqrt(11) - (sqrt(11) + -1 + 2 + sqrt(11))) + sqrt(704)/sqrt(4))**2.
-6*sqrt(11) + 100
Simplify -4*(sqrt(5) + 0) - (-4 + 0 + sqrt(5))**2.
-21 + 4*sqrt(5)
Simplify (-2*sqrt(2178) - sqrt(2178))/sqrt(9).
-33*sqrt(2)
Simplify (sqrt(34)/sqrt(2) + 3 + -3*sqrt(153))**2.
-48*sqrt(17) + 1097
Simplify -6*sqrt(6)/sqrt(3) + sqrt(288) + 1.
1 + 6*sqrt(2)
Simplify sqrt(13) + sqrt(52)/sqrt(4)*-3 - ((2*sqrt(13) - sqrt(13))*-6)**2.
-468 - 2*sqrt(13)
Simplify ((-4*(sqrt(133) + (sqrt(133)*-2 - sqrt(133))))/(2*sqrt(7)*3)*-3)**2.
304
Simplify 1*(sqrt(112) - (sqrt(112) + 3))**2.
9
Simplify -3 + (sqrt(180)*-2)**2.
717
Simplify (3 + sqrt(425) + 0)**2.
30*sqrt(17) + 434
Simplify sqrt(11) + 1*(sqrt(11) + -1)**2 + sqrt(11) + sqrt(11) + -2.
sqrt(11) + 10
Simplify (sqrt(539)*-1 + 2)**2.
-28*sqrt(11) + 543
Simplify ((sqrt(252) - (0 + sqrt(252))) + sqrt(252) + -3 + 2)**2.
-12*sqrt(7) + 253
Simplify (sqrt(40)*2*-1)/sqrt(8).
-2*sqrt(5)
Simplify 1*(-2*(sqrt(2) + sqrt(2) + 0)**2*4 + 0).
-64
Simplify (sqrt(1584) + 1)**2 + 0 + -3.
24*sqrt(11) + 1582
Simplify sqrt(468) + 0 + 5 - (sqrt(91) - 1*(sqrt(91) + -1*sqrt(91)))/sqrt(7).
5 + 5*sqrt(13)
Simplify -1*sqrt(847) + -5 - (sqrt(70)/(-2*sqrt(90) + sqrt(10) + sqrt(10)))**2.
-11*sqrt(7) - 87/16
Simplify (sqrt(143) + sqrt(143) + (sqrt(143) - (sqrt(143)*-2 - sqrt(143)))*-3 + sqrt(143))/(sqrt(11) + (-1*sqrt(11)*-3 - sqrt(11))).
-3*sqrt(13)
Simplify (-1*(-3*sqrt(121) - sqrt(121)))/sqrt(11).
4*sqrt(11)
Simplify ((sqrt(63) - (sqrt(63) + sqrt(126)/sqrt(2)))*-6)/(-6*sqrt(9)*-2 + sqrt(9)).
6*sqrt(7)/13
Simplify (sqrt(22) - -2*sqrt(2662))/sqrt(450).
23*sqrt(11)/15
Simplify -6*((-2*sqrt(176) - sqrt(176))/sqrt(11))/(-1*sqrt(72) - sqrt(8)).
-9*sqrt(2)/2
Simplify (sqrt(117) + -4 + 0 + sqrt(117))**2 + sqrt(117).
-45*sqrt(13) + 484
Simplify (sqrt(208) - (sqrt(208) - ((sqrt(208) - -2*sqrt(208)) + 4)))**2.
96*sqrt(13) + 1888
Simplify (sqrt(2100)*1)/(sqrt(48)*-6 + sqrt(3)).
-10*sqrt(7)/23
Simplify -4*((sqrt(39)/(sqrt(12)/sqrt(4)))**2 - (sqrt(13) + sqrt(26)/sqrt(2)*-5)).
-16*sqrt(13) - 52
Simplify (-1*(sqrt(70) + sqrt(70) + -3*sqrt(70)))/(sqrt(110)/(2*sqrt(11)) - sqrt(10)).
-2*sqrt(7)
Simplify (-5*(sqrt(152)*-1 - sqrt(152)))/(sqrt(24)/sqrt(3)*1).
10*sqrt(19)
Simplify 5*(sqrt(294)/sqrt(6))/sqrt(7).
5*sqrt(7)
Simplify (sqrt(108)/sqrt(6)*-6)/sqrt(9).
-6*sqrt(2)
Simplify -5*sqrt(5)*-1*-5.
-25*sqrt(5)
Simplify 6*sqrt(117)/sqrt(441).
6*sqrt(13)/7
Simplify (-2 + -2 + sqrt(99) + (sqrt(5324)*1)/sqrt(4))**2.
-112*sqrt(11) + 2172
Simplify (((3*sqrt(832) + 1 - sqrt(832)) + sqrt(832))*-2)**2.
192*sqrt(13) + 29956
Simplify (-3 + 1*6*(-2 + sqrt(8)/sqrt(4)))**2.
-180*sqrt(2) + 297
Simplify 2*(-5 + sqrt(128) + sqrt(2) + 2)**2.
-108*sqrt(2) + 342
Simplify (sqrt(2) - (sqrt(98) + 0)) + 0.
-6*sqrt(2)
Simplify 3 + (-3*((sqrt(156) - (sqrt(156) + 2*sqrt(156) + sqrt(156))) + sqrt(156) - sqrt(156)))/((sqrt(144)*2)/sqrt(12)).
3 + 9*sqrt(13)/2
Simplify -2*-5*(-3 + sqrt(55)/sqrt(5)).
-30 + 10*sqrt(11)
Simplify (((sqrt(2) + -1)*2)**2 + 1*sqrt(2) + 5)*-5.
-85 + 35*sqrt(2)
Simplify (sqrt(448)*-1*-4)**2 + sqrt(448) + 2.
8*sqrt(7) + 7170
Simplify (sqrt(4)/(-2*sqrt(2)) + -3)**2.
3*sqrt(2) + 19/2
Simplify -3*(0 + sqrt(13) + 1).
-3*sqrt(13) - 3
Simplify (sqrt(228)/(sqrt(12)*3) + sqrt(19) + sqrt(76)/(sqrt(4) - sqrt(16)))**2.
19/9
Simplify -4*(-1*sqrt(85))/sqrt(5) + -4 + 2*sqrt(612).
-4 + 16*sqrt(17)
Simplify ((sqrt(208)/sqrt(4))/sqrt(4) - (sqrt(13) + (sqrt(143)*2)/sqrt(11))) + (5 + (-1 + sqrt(13))*3)**2.
10*sqrt(13) + 121
Simplify (-3*(sqrt(68)*2 - sqrt(68)))/(sqrt(64)*-3 + sqrt(4))*3.
9*sqrt(17)/11
Simplify -5 + sqrt(26)/sqrt(2) - (2*sqrt(91))/sqrt(7).
-5 - sqrt(13)
Simplify sqrt(114)/(sqrt(48)/(sqrt(8)*-3 - sqrt(8)) - sqrt(6) - sqrt(6)).
-4*sqrt(19)/9
Simplify -2*2*(sqrt(18))**2*4.
-288
Simplify ((sqrt(190) + sqrt(190)*3*-2)/(sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(90)))*-5))**2.
475/16
Simplify (3*-1*sqrt(468) + sqrt(468))**2.
1872
Simplify (sqrt(56)/(sqrt(4)/sqrt(2)))**2 + -1.
27
Simplify ((-1*(sqrt(60) - sqrt(15)))/sqrt(3))**2.
5
Simplify (3 + -1 + sqrt(19))**2 - (2 + (-1 + sqrt(19))**2 + sqrt(19)).
1 + 5*sqrt(19)
Simplify 1 + (-1*sqrt(125))**2.
126
Simplify sqrt(10)/(-1*sqrt(5)) - (sqrt(98) + sqrt(98) + 0 - sqrt(2) - sqrt(2)).
-13*sqrt(2)
Simplify ((sqrt(468) - -4*(sqrt(468) + 1))**2 + (-2*sqrt(468)*-1)**2)*1.
240*sqrt(13) + 13588
Simplify sqrt(1872) - (-4*(sqrt(1872) - 3*sqrt(1872)))**2.
-119808 + 12*sqrt(13)
Simplify sqrt(180)/(sqrt(196)*6).
sqrt(5)/14
Simplify 3*(0 + sqrt(19) - sqrt(19))*-2.
0
Simplify (6*sqrt(9)*-1)/sqrt(3).
-6*sqrt(3)
Simplify -5 + (sqrt(75))**2 - (2*sqrt(15))/sqrt(5).
-2*sqrt(3) + 70
Simplify 1*(sqrt(52)/sqrt(4) + 3).
3 + sqrt(13)
Simplify (5 + ((1*sqrt(121) + sqrt(121) - sqrt(121))*-5)/sqrt(11))**2.
-50*sqrt(11) + 300
Simplify (sqrt(150)/(sqrt(3)*-1))/(sqrt(10) + (sqrt(80)*3)/sqrt(8)).
-sqrt(5)/4
Simplify sqrt(15)/(sqrt(55)/sqrt(99)).
3*sqrt(3)
Simplify (5*(sqrt(171) + sqrt(171) + 0)*-4)**2.
273600
Simplify -2*sqrt(171)*-6.
36*sqrt(19)
Simplify ((sqrt(209) - (sqrt(209) + (-1*sqrt(209) - sqrt(209))) - sqrt(209))*-3 + sqrt(209) + sqrt(209))/(sqrt(11) - sqrt(1584)*2).
sqrt(19)/23
Simplify (-1*sqrt(126))/((sqrt(12)/sqrt(3))/sqrt(2)).
-3*sqrt(7)
Simplify (1*sqrt(19) + -3)**2 - (sqrt(19) + 2 + sqrt(76)/sqrt(4)).
-8*sqrt(19) + 26
Simplify (sqrt(891) + 0 + 4)**2.
72*sqrt(11) + 907
Simplify sqrt(14)/(-2*sqrt(18)).
-sqrt(7)/6
Simplify (6*(sqrt(112) + sqrt(112) + (sqrt(112) + -1*sqrt(112) - sqrt(112))) - (-4 + sqrt(112)*-1 + sqrt(112)))**2 + 4.
192*sqrt(7) + 4052
Simplify -5 + (sqrt(112))**2 + -2 + (5*(sqrt(28) + 1))**2.
100*sqrt(7) + 830
Simplify sqrt(25)/(sqrt(15)/(sqrt(30)/sqrt(10))).
s
|
{
"pile_set_name": "DM Mathematics"
}
|
65*c - 45528. Calculate r(-2).
2
Let k(a) = -a**3 - 22*a**2 + 956*a - 512. What is k(-44)?
16
Let w(n) = -n**3 - 552*n**2 - 557*n - 3234. What is w(-551)?
72
Let n(v) = -25726*v + 102938. What is n(4)?
34
Let c(h) = 280*h + 7333. Determine c(-28).
-507
Let m(j) = -j**3 - 321*j**2 - 315*j + 1579. Determine m(-320).
-21
Let h(f) = 22*f**3 - 133*f**2 + 3*f - 14. Determine h(4).
-722
Let z(r) = -r**2 - 8*r - 726. Give z(32).
-2006
Let h(l) = -12*l**3 - 64*l**2 + 171*l + 11. What is h(3)?
-376
Let t(i) = 4*i**2 - 1739*i - 244965. Calculate t(-112).
-21
Let p(w) = 3*w**2 - 179*w + 1029. What is p(53)?
-31
Let t(w) = -182*w**2 - 109012*w + 3777. Give t(-599).
183
Let y(l) = -8*l**3 + 107*l**2 - 171*l. Determine y(12).
-468
Let f(u) = -u**3 + u**2 - 13858*u + 41578. What is f(3)?
-14
Let i(a) = a**3 - 4*a**2 - 129*a - 38. Give i(15).
502
Let b(l) = 89391*l + 33342851. Calculate b(-373).
8
Let z(n) = 2*n**3 + 2*n**2 + 96*n - 51. Calculate z(5).
729
Let v(c) = -c**2 + 337*c + 140095. Give v(579).
-23
Let u(f) = -3*f**2 - 606*f + 1238. Determine u(-204).
14
Let w(h) = 3*h**2 - 164*h + 386. What is w(53)?
121
Let x(n) = 195*n**2 + 12163*n + 4545. Determine x(-62).
19
Let p(y) = 10586*y + 95294. What is p(-9)?
20
Let f(s) = 2705*s - 59562. Calculate f(22).
-52
Let u(a) = -a**3 - 254*a**2 + 5775*a + 131. What is u(-275)?
131
Let q(m) = -25777*m - 309074. What is q(-12)?
250
Let v(c) = -35762*c + 393390. Determine v(11).
8
Let j(p) = -p**3 - 25*p**2 - 42*p - 1789. Give j(-25).
-739
Let u(b) = 1835*b - 25415. What is u(14)?
275
Let p(n) = n**3 + 23*n**2 - 11663*n - 165053. Determine p(-14).
-7
Let h(b) = b**3 - 118*b**2 + 4475*b - 19545. Give h(5).
5
Let a(g) = -g**3 + 31*g**2 + 1130*g - 1984. Determine a(52).
-8
Let v(l) = l**3 - 19*l**2 + 61*l + 201. Give v(13).
-20
Let j(b) = b**3 + 3*b**2 - 112*b - 663. Determine j(-5).
-153
Let c(t) = -533*t - 9098. Calculate c(-17).
-37
Let x(v) = 89*v**2 - 1912*v + 4. Determine x(0).
4
Let x(n) = -n**2 + 48071*n + 1683724. What is x(-35)?
14
Let y(c) = -7*c**3 - c**2 - 24*c + 67. Determine y(3).
-203
Let u(f) = 29*f + 6263. Give u(-236).
-581
Let w(g) = -168345*g + 1010064. What is w(6)?
-6
Let c(v) = -3*v**2 - 101*v - 3790. Determine c(-45).
-5320
Let j(b) = -25*b**2 + 1169*b + 5869. Give j(-5).
-601
Let v(s) = -4479*s - 12838. What is v(-3)?
599
Let x(i) = -2*i**3 - 37*i**2 + 945*i + 2593. Calculate x(-32).
1
Let q(r) = 13254*r + 675895. Calculate q(-51).
-59
Let r(g) = 209*g**2 - 24664*g + 220. Determine r(118).
-16
Let q(r) = 132*r + 6846. Determine q(-37).
1962
Let f(k) = -61*k**2 - 9887*k + 39660. Determine f(-166).
-14
Let t(f) = 7*f**3 + 103*f**2 - 413*f - 19. What is t(-18)?
-37
Let t(v) = -v**2 + 413*v - 39938. Give t(165).
982
Let q(b) = 20*b**3 + 4281*b**2 - 185490*b - 246. Determine q(-251).
5
Let g(d) = 13*d**3 + 6277*d**2 - 954*d + 5794. Determine g(-483).
-2
Let f(h) = 2*h**3 + 226*h**2 + 1492*h + 67. Determine f(-7).
11
Let m(a) = a**3 + 642*a**2 + 4382*a - 40008. What is m(-635)?
-3
Let q(d) = 242*d - 10413. Give q(43).
-7
Let l(b) = -b**3 - 516*b**2 - 25036*b - 40645. Give l(-462).
11
Let v(p) = 158*p + 2521. Give v(-15).
151
Let z(r) = -r**2 + 288*r + 89690. What is z(-188)?
202
Let i(s) = -6510*s**3 + 13*s**2 - 17*s - 3. Determine i(1).
-6517
Let m(g) = 313*g**2 + 555*g - 218. Determine m(-2).
-76
Let v(d) = -4*d**3 - 46*d**2 - 501*d - 5249. What is v(-11)?
20
Let t(l) = 108649*l - 5432465. What is t(50)?
-15
Let h(k) = 493*k + 629. Determine h(-2).
-357
Let t(o) = -35*o**3 - 666*o**2 + 65*o + 1635. Determine t(-19).
39
Let r(l) = 14307*l + 600910. Determine r(-42).
16
Let u(v) = 13656*v + 27787. What is u(-2)?
475
Let k(t) = 4*t**3 - 106*t**2 + 2*t - 782. Give k(0).
-782
Let a(q) = 5*q**3 + 144*q**2 + 561*q - 353. Give a(-24).
7
Let b(a) = -139*a + 6478. What is b(50)?
-472
Let v(h) = 249605*h + 6240156. Calculate v(-25).
31
Let i(p) = 1576*p + 389277. Determine i(-247).
5
Let o(v) = 2015*v + 3909. Give o(-2).
-121
Let t(v) = -179666*v - 718452. Calculate t(-4).
212
Let q(l) = l**3 - 12*l**2 - 1622*l + 11421. What is q(7)?
-178
Let n(j) = -j**3 - 90*j**2 - 77*j + 911. Determine n(-89).
-157
Let z(m) = -11*m**2 - 41*m + 86. What is z(-10)?
-604
Let m(j) = 201797*j - 2219748. Calculate m(11).
19
Let v(n) = 324*n + 11972. Determine v(-37).
-16
Let m(c) = -622*c - 196357. Give m(-316).
195
Let k(o) = -259*o**2 - 99975*o - 385. Give k(-386).
1
Let k(z) = 3552*z + 1442. Give k(-1).
-2110
Let p(f) = 6*f**3 + 1165*f**2 + 1353*f + 467. Determine p(-193).
81
Let j(z) = 3*z**3 + 20*z**2 + 1263*z + 10182. Give j(-8).
-178
Let h(l) = 34*l**3 - 176*l**2 - 141*l - 158. Calculate h(6).
4
Let s(c) = 5307*c + 63644. Determine s(-12).
-40
Let x(w) = -8*w**3 - 3*w**2 + 123*w + 84. Calculate x(0).
84
Let n(x) = 156*x - 11681. Determine n(74).
-137
Let w(g) = -g**3 + 144*g**2 + 230*g + 31265. Give w(147).
248
Let f(t) = -110047*t - 57004353. What is f(-518)?
-7
Let g(l) = 6586*l - 26210. Determine g(4).
134
Let y(w) = w**2 + 4785*w - 125066. Calculate y(26).
20
Let u(l) = -2*l**2 - 277*l + 8788. Give u(-165).
43
Let z(s) = -s**2 - 20079*s + 120503. What is z(6)?
-7
Let s(g) = -3312*g + 1222133. Give s(369).
5
Let i(p) = -2*p**3 - 74*p**2 - 65*p - 451. What is i(-36)?
-703
Let s(g) = 233*g + 16064. Determine s(-68).
220
Let n(j) = -3*j**2 + 4543*j - 27086. Give n(6).
64
Let g(r) = -689501*r + 689574. Calculate g(1).
73
Let v(r) = 4*r**3 + 379*r**2 - 16*r - 27923. What is v(-94)?
89
Let f(m) = -m**3 - 5*m**2 - 97*m - 119. Calculate f(0).
-119
Let y(d) = -395*d**3 - 5*d**2 + 42*d - 47. Calculate y(1).
-405
Let p(i) = 2*i**3 + 42*i**2 + 207*i - 185. Determine p(-10).
-55
Let s(u) = -32800*u + 393559. Calculate s(12).
-41
Let d(m) = -m**3 - 6*m**2 - 179*m - 353. Determine d(-2).
-11
Let a(k) = k**3 + 334*k**2 + 22564*k + 348. Calculate a(-94).
-28
Let r(k) = -6*k**3 - 290*k**2 + 461*k + 26678. Determine r(-48).
-58
Let s(x) = 12493*x - 1823973. Give s(146).
5
Let v(d) = -d**3 - 328*d**2 + 15140*d + 4075. Give v(-369).
16
Let t(v) = 20460*v + 306853. Calculate t(-15).
-47
Let g(r) = -665*r + 136319. What is g(205)?
-6
Let v(h) = -2*h**3 + 33*h**2 - 110*h + 10. Calculate v(6).
106
Let z(t) = 2*t**2 + 17250*t + 1856480. What is z(-109)?
-8
Let g(l) = 6963*l - 48764. What is g(7)?
-23
Let r(d) = 104246*d + 13760476. Determine r(-132).
4
Let m(f) = f**3 + 174*f**2 + 850*f + 782. Calculate m(-169).
-63
Let k(p) = 3*p**2 - 249*p + 5049. Calculate k(40).
-111
Let u(d) = 1356*d - 80016. Determine u(59).
-12
Let n(v) = -2053*v + 22420. Calculate n(11).
-163
Let n(c) = -131*c**3 + 152*c**2 - 21*c + 21. What is n(1)?
21
Let o(r) = 18105*r - 289672. Give o(16).
8
Let l(y) = y**3 + 83*y**2 - 1468*y + 116. What is l(-98)?
-80
Let z(o) = 360232*o - 5403474. Calculate z(15).
6
Let m(r) = -1125*r - 537792. Give m(-478).
-42
Let o(j) = 2*j**2 + 3891*j + 277034. Determine o(-74).
52
Let u(f) = -7500*f - 93533. Calculate u(-13).
3967
Let a(q) = -2890*q - 17585. Determine a(-6).
-245
Let b(c) = -5775*c + 126884. What is b(22)?
-166
Let t(v) = -3*v**3 + 792*v**2 + 4008*v + 7284. Give t(269).
21
Let o(n) = 22*n**3 - 1347*n**2 - 1369*n - 22. Calculate o(-1).
-22
Let q(c) = -326*c - 8812. What is q(-27)?
-10
Let p(j) = -50*j**2 - 7426*j + 29723. Calculate p(4).
-781
Let l(a) = -5*a**3 - 311*a**2 - 876*a + 31. Determine l(-3).
-5
Let x(c) = -3*c**3 - 20*c**2 + 27*c - 7. Determine x(-8).
33
Let q(r) = -3*r**3 - 1145*r**2 - 4172*r - 5286. What is q(-378)?
6
Let w(z) = -1288*z**2 + 12360*z + 5194. Give w(10).
-6
Let k(n) = 7*n**2 + 193*n - 7633. Calculate k(22).
1
Let i(q) = -3712*q - 29821. Calculate i(-7).
-3837
Let h(s) = s**2 + 58*s + 831. Calculate h(-24).
15
Let s(v) = 404*v + 76. Calculate s(1).
480
Let v(h) = -16016*h + 48048. Calculate v(3).
0
Let w(l) = -10595*l + 40817. Give w(4).
-1563
Let f(j) = -17682*j - 265183. Determine f(-15).
47
Let o(w) = 30*w**2 + 2302*w - 2977. What is o(-78)?
-13
Let h(j) = -j**3 + 36*j**2 + 4573*j + 299. Determine h(88).
35
Let m(u) = -889112*u + 2667330. Determine m(3).
-6
Let l(i) = i**3 + 14*i**2 - 74*i - 44. What is l(-7)?
817
Let k(q) = -773*q**2 + 74*q + 76. Give k(-1).
-771
Let l(i) = 114*i - 1147. Give l(8).
-235
Let v(m) = 2*m**2 - 340*m - 586. Give v(170).
-586
Let a(f) = f**2 - 137349*f - 1510889.
|
{
"pile_set_name": "DM Mathematics"
}
|
d**2 + 42*d + 23. Is 64 a factor of w(-12)?
False
Let j = 205 - -454. Suppose 5*g = 3*g + 6, -j = -s - 4*g. Is s a multiple of 12?
False
Let z(r) = 6*r + 4. Let f be z(-7). Let q = 15 - 59. Let b = f - q. Does 2 divide b?
True
Let g(z) = -z**3 - 7*z**2 - 7*z - 4. Let h be g(-6). Suppose -655 = -64*o - 67*o. Suppose -2*j - 5*l + 25 = 0, h*j - o*l + 8 = 63. Is j a multiple of 5?
True
Suppose 54*w - 58*w = 2*c - 18616, -3*c - 3*w = -27912. Is 124 a factor of c?
True
Suppose -13*r = -9*r + 2*k - 3576, 2*r - 1780 = -3*k. Does 3 divide r?
False
Suppose 0 = 17*t - 3 + 3. Suppose t = -d - 127 + 592. Does 8 divide d?
False
Let s(p) = -2*p - 1. Let n = 4 + -7. Let d be s(n). Suppose -4*u - 2*k + 100 = 0, -5*k - 58 = -d*u + 67. Is u a multiple of 17?
False
Let l be -114 + (3/1 - (10 - 5)). Let q = -65 - l. Is 7 a factor of q?
False
Let g be 5 - (-341)/(-55) - (-8)/(-10). Is 52 a factor of (-3635)/(-35) - g/14?
True
Let i be 43 + (54/9 - 9). Suppose h = i + 15. Is 4 a factor of h?
False
Let m be 2 + (-2)/4 + 88/16. Suppose -5*o - 22 = i, -m*i - o + 10 = -2*i. Suppose -52 = -i*c + 227. Is c a multiple of 8?
False
Suppose 0 = 15*f - 12*f - 27. Let o = 27 - f. Does 14 divide 858/o + 4/(-6)?
False
Suppose -16909 = -3*t - 13*j, -5*j = -7*t + 3*t + 22657. Is 246 a factor of t?
True
Let b(m) = 83*m - 1369. Does 47 divide b(36)?
False
Does 75 divide (11869/166)/(2/300)?
True
Suppose -4*g + 9596 = a, -1073 = -2*g - a + 3727. Does 11 divide g?
True
Let f = 414 - 491. Let y(g) = 22*g + 5. Let v be y(-6). Let x = f - v. Is x a multiple of 5?
True
Let p(n) = n**2 + n + 232. Let u(m) = 1. Let c(k) = p(k) - 5*u(k). Is 6 a factor of c(0)?
False
Let f(q) = -1464*q + 359. Let r(c) = 489*c - 120. Let y(d) = -3*f(d) - 8*r(d). Is y(2) a multiple of 41?
False
Suppose r + 2*m + 793 - 4735 = 0, r + 4*m = 3944. Is r a multiple of 5?
True
Does 9 divide -4 - ((-52290)/21)/15?
True
Is ((16/(-4))/4 - -2) + (9511 - -36) a multiple of 77?
True
Let p(f) = -14*f**2 + 3*f + 1. Let l(j) = -2*j**2. Let i(v) = 4*l(v) - 2*p(v). Is 52 a factor of i(5)?
True
Let y(l) = -l**3 + l**2 - 2*l. Let m be 8 + 2 - (2 + 1). Suppose 2*r - 10 = 0, -3*r = -3*t - m*r + 14. Is y(t) a multiple of 3?
False
Is 12/(-234) + (-154988)/(-39) + 12 a multiple of 66?
False
Let i(n) = -n**2 + 12*n - 28. Let h be i(10). Let w be (-4)/16 + (-274)/h. Suppose 3*d - 4*d = -w. Is d a multiple of 5?
False
Suppose -2*m + 2393 - 973 = 0. Suppose 0 = 25*w - 7290 - m. Is w a multiple of 20?
True
Let g(u) = 20*u - 28. Let k be 24/(-14)*10*(-21)/12. Does 26 divide g(k)?
True
Let l(m) be the first derivative of -15*m**2 + 116*m + 259. Is 56 a factor of l(2)?
True
Suppose i - 11*f + 12 = -8*f, i - 13 = -2*f. Suppose -5*z = 3*a - 1326 + 423, 3*a - i*z = 879. Is a a multiple of 36?
False
Let t(p) = -p**3 + 12*p**2 - 3*p - 40. Let j be ((-40)/(-48)*1)/((-1)/(-6)). Does 8 divide t(j)?
True
Suppose -b + 4797 = 4*f, 11*f + 19122 = 4*b + 16*f. Is 6 a factor of b?
False
Suppose -14*n = -72305 - 25289. Is 26 a factor of n?
False
Let y = 8718 + -4424. Is 113 a factor of y?
True
Let r(f) = 108*f**2 - 49*f + 305. Does 91 divide r(8)?
True
Suppose -10972 = -14*t + 51594. Is 109 a factor of t?
True
Is (-503542)/(-78) - (1/(-3) - -2) a multiple of 15?
False
Let q be ((-376)/(-282))/((-4)/(-7050)). Suppose -21*s + q = -2837. Is s a multiple of 23?
False
Let q(o) = 24*o + 1369. Does 15 divide q(84)?
False
Let r(q) = -22*q - 44. Suppose n + 8 = -2*t + 2, -30 = 5*n + t. Does 11 divide r(n)?
True
Suppose 178877 = 92*n - 129702 + 55211. Is n even?
True
Suppose 32 = 12*h - 76. Let d = -231 - -333. Suppose 5*s + d = t, h = t - s - 93. Does 17 divide t?
True
Is 10 a factor of (-12 - 464/(-24))*45?
True
Let h = 376 + 1000. Suppose -v - h = -4*v + 5*z, 2*v - 913 = -z. Is 38 a factor of v?
False
Suppose 0 = 2*v + g - 14, 5*v + 4*g - 7*g = 13. Suppose 515 + 4720 = v*y + 3*t, -5275 = -5*y + 5*t. Does 7 divide y?
True
Let q(i) = -i**3 + 2*i**2 - 9*i + 8. Let o be q(1). Suppose -9*m + 21*m - 2160 = o. Is m a multiple of 18?
True
Let v(b) = -11*b**3 - 27*b**2 + 10*b - 24. Is v(-7) a multiple of 4?
True
Is (45/(-180))/(2/7336)*-21 a multiple of 19?
False
Let x = -15849 - -24129. Suppose -3*f - x = -18*f. Is 24 a factor of f?
True
Let d(q) = -51*q - 11*q**2 + 51*q**3 - 3*q**2 - 55 - 24*q**3 - 5*q**2 - 26*q**3. Is d(23) a multiple of 24?
True
Let z(t) = 20*t**3 + 8*t**2 + 5*t - 39. Let q(y) = -11*y**3 - 4*y**2 - 3*y + 20. Let b(j) = -11*q(j) - 6*z(j). Suppose -6 = -2*r + r. Does 13 divide b(r)?
True
Suppose -3*g = g + 2*k - 48, 3*g = 2*k + 22. Suppose -g = -42*b + 40*b. Suppose 3*j + 3 = 0, 4*w + 2*j + 222 = b*w. Is 55 a factor of w?
True
Let h(j) = 1154*j - 94. Does 19 divide h(4)?
True
Let w be (-2)/(-24) + (-4935)/(-1692). Suppose 575 = 5*k - 4*k. Suppose 5*o - k = -w*s, -4*s - 947 = -9*s + 3*o. Is 10 a factor of s?
True
Suppose -4*w + 5 = 21, 4*h + 5*w = 0. Suppose h*r = 4*r + 32. Does 3 divide r?
False
Let c(f) be the second derivative of 5*f**4/6 - f**3/3 + f**2/2 + 2*f. Let s = 191 + -189. Does 13 divide c(s)?
False
Let p = -195 - -199. Suppose 2240 = u + p*u. Is u a multiple of 32?
True
Is 217 a factor of ((-9471)/(-132) + -63)/(1238/(-1240) - -1)?
True
Let y be (4556/3 - 2)/(8/24). Suppose -15*h - y = -20*h. Suppose h = 7*j + 49. Does 31 divide j?
False
Let i(n) = n**3 + 24*n**2 - 74*n + 47. Let l be i(-23). Suppose 0 = 14*j - l + 682. Is 57 a factor of j?
True
Let w(x) = 9*x**2 + 13*x + 14. Suppose 16*d - 52 = 60. Does 91 divide w(d)?
True
Let o be 30 - 23 - (-3 + -2)/(-1). Suppose 6*t - 5*t + 3*r - 399 = 0, o*t = 3*r + 753. Is 32 a factor of t?
True
Suppose -11*o + 8 = 2*j - 6*o, -3*j = -3*o - 12. Suppose -j*n - n = -15. Suppose 2*i = -q - 4*q + 275, -4*q + 197 = -n*i. Is 42 a factor of q?
False
Suppose 25*j - 108 = -2*j. Suppose -4*n + 6*n + 301 = 5*d, -251 = -j*d + 5*n. Does 4 divide d?
False
Is 12 a factor of (-31)/(-186) + ((-53038)/(-24))/((-1)/(-2))?
False
Suppose 2565 = -7*g - g + 11149. Is g a multiple of 3?
False
Suppose -366*p + 380*p = 226142. Does 5 divide p?
False
Let p be 16/7 - (-2)/(-7). Let u be (6/(-10))/(p/10) - -3. Suppose 7*j + 5*j - 396 = u. Is j a multiple of 5?
False
Suppose -4*o + 337 + 879 = 0. Let c = 479 - o. Let r = -75 + c. Is r a multiple of 20?
True
Let r = 563 + -237. Is (-10)/((-60)/(-18)) + r + 0 a multiple of 6?
False
Let h be ((-35)/(-5) - 4) + -3. Suppose h = -c - d + 255, -6*c = -3*c - 4*d - 793. Is 37 a factor of c?
True
Let i = 36 - 29. Let z(t) = -2*t**2 + 15*t - 3. Let g be z(i). Suppose h - 3*v = -h + 195, -g*v = -2*h + 200. Is 30 a factor of h?
True
Let b = -14263 + 29179. Is 11 a factor of b?
True
Let m(z) be the first derivative of 4*z**3/3 + 7*z**2/2 + 13*z - 131. Is 19 a factor of m(-5)?
False
Suppose p + 0*p + 5*c + 284 = 0, 2*p + 584 = -2*c. Let u = p - -492. Is u a multiple of 11?
True
Let t = 6557 - 1728. Is t a multiple of 16?
False
Let q = 47564 - 19637. Is q a multiple of 321?
True
Let i(x) = -2*x + 69. Let t = 42 + -40. Suppose 0 = -2*y + 5*m - 15, -4 = -t*y - 2*m + 2. Is i(y) a multiple of 23?
True
Let y = -46 - -50. Let x be ((-15)/(-4) - y)*-4. Let t = x - -73. Is t a multiple of 29?
False
Let v be (1 - -67) + -9 + 13. Suppose 5*x - 598 - v = 0. Suppose -4*k + x = 3*o, 4*o = k + 161 + 43. Is 10 a factor of o?
True
Let w be 0 - -29 - (-10)/(-5). Suppose -3*m - 9 = w. Does 27 divide (-1960)/m - (-1)/(-3)?
False
Suppose -5*l = -n + 556, -310 - 218 = -n - 2*l. Does 13 divide n?
False
Suppose 3*j = -4*u - 5, -4*u - 2 = 4*j + 2. Let v = u + 102. Is v a multiple of 25?
True
Suppose 4*t - 4*v - 4144 = 0, 2*t + 290 = -2*v + 2358. Suppose -3*g + 3*h + 3114 = t, 1374 = 2*g + 2*h. Is 46 a factor of g?
True
Suppose -3*q + 0*q = 18. Let d(x) = -9*x + 13. Let l(t) = t - 4. Let p(j) = d(j) + 6*l(j). Is 2 a factor of p(q)?
False
Suppose 18*k - 25*k = -1050. Is k a multiple of 2?
True
Is 3/(-2) + (-58266504)/(-848) a multiple of 169?
False
Is (-5 - (-7628)/20)/((-3)/(1560/(-16))) a multiple of 21?
False
Let h(v) = 6*v**2 - 12*v + 144. Does 31 divide h(24)?
False
Suppose -4*l + 28 = 4. Suppose l*v = 5*v. Suppose v = 2*y + 50 - 128. Does 10 divide y?
False
Suppose 2*j + 5*d - 70763 = 0, 4*d = -j + 43089 - 7718. Is 190 a factor of j?
False
Let c = 33 + -23. Suppose 5*h - 5*m = c, -2*h + 1 = m + 3. Suppose 5*o - 65
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the product of 6558 and 14388?
94356504
What is -5178.71 times 54?
-279650.34
Multiply -642266.3 and 135.
-86705950.5
-0.02871 * -11966.9
343.569699
What is 0.11 times 29101741?
3201191.51
0.3065031 * -4
-1.2260124
-475515 * 37
-17594055
Calculate -259068*0.034.
-8808.312
293 times 6.5506
1919.3258
-0.2121316 * 57
-12.0915012
Product of 4140.9 and -0.88.
-3643.992
-6.06193*-0.36
2.1822948
What is -113 times 1288685?
-145621405
Multiply -37877 and 2236.
-84692972
What is -25836 times -0.004?
103.344
Product of 1106340 and -0.3.
-331902
-7.458875 times 1.2
-8.95065
-89615 times 0.137
-12277.255
25379492 * 5
126897460
Multiply 183196.7 and 7.
1282376.9
Multiply 0.0364031 and 6.9.
0.25118139
What is -239.93 times 430?
-103169.9
What is the product of 9341 and -15429?
-144122289
Calculate 11603523*21.
243673983
-3471412*-0.02
69428.24
Calculate 0.2*-0.9272165.
-0.1854433
What is the product of -34548.7 and -3?
103646.1
What is 21273.65 times -0.27?
-5743.8855
6994169*0.7
4895918.3
What is the product of -3461 and 8.783?
-30397.963
What is the product of -62.2 and -0.027652?
1.7199544
Multiply -0.01105 and 128607.
-1421.10735
What is the product of 0 and 1489931?
0
Calculate -2670*0.007915.
-21.13305
40024.02 times -0.092
-3682.20984
-781*-0.06019
47.00839
What is the product of -4.1966 and -0.77?
3.231382
650882 * -384
-249938688
Product of -102.032 and -138.
14080.416
-3*-2763888
8291664
12.33988*-13
-160.41844
Work out 402860 * -1.79.
-721119.4
Product of -501842 and 12.4.
-6222840.8
Multiply -103 and 18773.
-1933619
Calculate 0.3*-66026933.
-19808079.9
-12 times -0.0775583
0.9306996
Multiply 0.035 and -987749.
-34571.215
19.4*-852572
-16539896.8
What is -31479497 times -0.3?
9443849.1
Product of 0.17 and 258485.
43942.45
Work out -23 * 891.135.
-20496.105
0 * -27079439
0
0.75 * 1.2285
0.921375
-68 times 31479
-2140572
-4.7882*78
-373.4796
What is -3294118 times -146?
480941228
0.5 * -0.132051925
-0.0660259625
Work out 269 * -35.406.
-9524.214
Work out 23714 * -3517.3.
-83409252.2
What is 0.03 times -29174?
-875.22
-4669*-61075
285159175
Work out 3 * 1029.546.
3088.638
Multiply -3817.698 and -0.01.
38.17698
Calculate 0.5*-216.47259.
-108.236295
Calculate 43*-1162.74.
-49997.82
24190244 * 0.4
9676097.6
What is the product of -4.1 and 7067724?
-28977668.4
-495186*-142.2
70415449.2
5 * 957.851
4789.255
What is 20626207 times 0.2?
4125241.4
-518.0268*-1.64
849.563952
Calculate -20*-0.420899.
8.41798
-24701552 times -3
74104656
Calculate -278447*-0.35.
97456.45
-22*-18223.34
400913.48
Work out -924595 * -7.
6472165
Multiply 30 and -10.561394.
-316.84182
Calculate -0.08*-14.406175.
1.152494
Product of 1 and -49691.86.
-49691.86
-365.9 * -3155
1154414.5
-128.0097 * -4
512.0388
What is the product of 49934333 and 0.3?
14980299.9
What is the product of -0.158878 and -61?
9.691558
Product of 49 and 0.093089.
4.561361
What is -2909.373 times -0.6?
1745.6238
What is the product of 57 and -9822?
-559854
0.1*-25315.17
-2531.517
Product of -10798559 and -16.
172776944
-190828*0.1559
-29750.0852
0.17 times -1124.602
-191.18234
Calculate -4049*0.29325.
-1187.36925
What is the product of 4190957 and -0.2?
-838191.4
Multiply 24086.2 and -8.9.
-214367.18
Calculate -5*72.022.
-360.11
38*1066475
40526050
0.0125 * -93440
-1168
Calculate -0.4*10.849.
-4.3396
Work out -9.0774 * -3470.
31498.578
0.42*784.804
329.61768
What is the product of -31716839 and 0.2?
-6343367.8
Product of -1 and -27857870.
27857870
What is the product of -0.007 and 2209539?
-15466.773
2.607532*-5
-13.03766
Work out -0.19 * -3553599.
675183.81
Product of 0.03377016 and 0.06.
0.0020262096
Multiply 0.3 and 367402.
110220.6
Calculate 24814.1*3.6.
89330.76
What is the product of 37.358 and 92?
3436.936
What is the product of -1272.086 and -0.318?
404.523348
Multiply -5.24694 and -0.6.
3.148164
95581*-178
-17013418
-8374 times 0.0718
-601.2532
What is 0.552 times 0.089577?
0.049446504
22 * -140540.4
-3091888.8
What is the product of -354 and 24836?
-8791944
What is -4 times 3922.0027?
-15688.0108
Calculate 1024116*1.3.
1331350.8
What is 1.798619 times -0.0347?
-0.0624120793
-0.3 times 391576.01
-117472.803
Calculate 2731.52*70.
191206.4
2610274 * -3
-7830822
What is -2.2 times -1202657?
2645845.4
Multiply -6556884 and 0.024.
-157365.216
Product of -65272152 and -4.
261088608
Multiply -15962935 and 9.
-143666415
-2.9 * 10.05611
-29.162719
0.1 times 48.193561
4.8193561
11.6976 times 2252
26342.9952
Work out -6798085 * -9.
61182765
What is the product of 2179 and 1695.78?
3695104.62
Multiply 1251839 and -21.
-26288619
11*-38280417
-421084587
What is the product of -0.76859987 and -0.24?
0.1844639688
Multiply 0.554 and -26194.1.
-14511.5314
-4 * -86370301
345481204
Work out -187528460 * -0.8.
150022768
What is the product of -2 and -11469.64?
22939.28
Multiply 1473.25 and 1785.
2629751.25
-0.26 * 364.1623
-94.682198
Product of 0.1476 and -22.45.
-3.31362
What is -1.203 times -0.98166?
1.18093698
-80 * -1027.476
82198.08
Product of -58639 and -115.
6743485
0.2 * -0.787242
-0.1574484
1 * -62567174
-62567174
What is 72563826 times 0.5?
36281913
Calculate -466821.2*0.5.
-233410.6
Work out -8721 * 0.309.
-2694.789
Work out -240 * -419209.
100610160
What is the product of 26.3 and -24.904?
-654.9752
What is the product of 13763.9 and -702?
-9662257.8
Product of -262552 and -43.
11289736
Work out -684027 * -0.4.
273610.8
Work out -12 * 5023927.6.
-60287131.2
Work out 7 * -9843461.
-68904227
Product of 34401 and -165.
-5676165
-0.28 times 226531
-63428.68
What is the product of -0.05 and -275377856?
13768892.8
-0.45 times 379765
-170894.25
Calculate 0.0408846*-5.
-0.204423
What is -0.5797 times -5404?
3132.6988
Multiply 2.4 and -10144386.
-24346526.4
What is 40.48 times -384.8?
-15576.704
0.108 times 2633.29
284.39532
0.3*-0.00345823
-0.001037469
Calculate -14*4190.208.
-58662.912
What is 12 times 5500698?
66008376
Calculate 0*-3665.431.
0
Calculate 0.4*-0.927598.
-0.3710392
285987258 times -3
-857961774
Product of 2 and 209866889.
419733778
-109668884 * 4
-438675536
Multiply -129362.4 and -5.7.
737365.68
Multiply 38006 and 0.176.
6689.056
What is 1.3 times -2439.84?
-3171.792
What is the product of 3 and -63141571?
-189424713
-0.027483*124
-3.407892
0.197*0.009658
0.001902626
0.01 * -2220099
-22200.99
Work out -8.813 * 0.20153.
-1.77608389
What is the product of 13.31311 and -0.236?
-3.14189396
Product of -1.65713421 and -0.1.
0.165713421
What is the product of 531.082199 and 0.2?
106.2164398
What is 1 times 15682.82?
15682.82
Product of -0.3 and -2085872.
625761.6
-0.44*7148602
-3145384.88
10368.504*0.02
207.37008
Product of 30746 and -3421.
-105182066
What is the product of 1737 and 101823?
176866551
Work out 734.15 * 561.
411858.15
Work out 6 * 7.67331.
46.03986
What is -5203 times -122978?
639854534
-69*997.13
-68801.97
Multiply 436678 and -25.
-10916950
Calculate -102.13*11473.
-1171737.49
Calculate -1124*1508.49.
-1695542.76
What is the product of -82052980 and -5?
410264900
What is the product of 0.0183249 and -43?
-0.7879707
-701808*-61
42810288
-4 times 1.7692127
-7.0768508
0.16 times -1334072
-213451.52
What is -556510 times -373?
207578230
Work out 4.6 * 12790.26.
58835.196
Multiply -49440 and -5034.
248880960
-0.3 times 32578089
-9773426.7
Calculate -1.5449*0.468.
-0.7230132
Product of 0.1138 and 106000.
12062.8
Product of -66.94 and 1370.
-91707.8
Work out -0.71 * -3197289.
2270075.19
Product of -0.4 and -27928440.
11171376
Multiply 201.91 and -168.
-33920.88
0.8*-6.8184874
-5.45478992
-0.49*0.2495
-0.122255
What is 4 times 2369338.5?
9477354
What is the product of -139868436 and 2?
-279736872
What is the product of 0.23231 and -55480?
-12888.5588
What is the product of -376713.05 and -2.6?
979453.93
13379.98 times -1.1
-14717.978
20408 times 51
1040808
-4825*-96.9
467542.5
-0.3 times -3012252
903675.6
-0.4 * -4527238
1810895.2
Product of -3 and 46200808.
-138602424
What is the product of -0.584 and -133542?
77988.528
Calculate 0.4*-8084475.
-3233790
What is the product of -8452 and -671.85?
5678476.2
Calculate 5.5*-951047.
-5230758.5
Multiply -19439500 and 6.
-116637000
Product of 0.088018 and -133.
-11.706394
Calculate 1.2*-443635.
-532362
Multiply 827 and 86.1.
71204.7
Product of -7444
|
{
"pile_set_name": "DM Mathematics"
}
|
- 378410 - 6821578. Round c to the nearest one million.
2000000
Let o = -3.38323303 + 1.25323406. Let f = -433.87 - -436. Let u = o + f. Round u to seven decimal places.
0.000001
Let h = 116.184 - 0.184. Let x = h - 116.00171. Round x to 3 decimal places.
-0.002
Let x = -25.5 + 27.23. Let w = -0.6 + x. What is w rounded to the nearest integer?
1
Let b = -18.194 - -0.094. Let o = 260.1 + b. Let i = o + -242.346. Round i to 2 decimal places.
-0.35
Let x = 2184 - -190. Let c = x - 2373.99998199. What is c rounded to 6 dps?
0.000018
Let j(f) = 11*f - 272 + 2*f + 272 - 97438*f**2 + 7*f. Let z be j(40). What is z rounded to the nearest 1000000?
-156000000
Let k = 80.1330396 - 80.13. What is k rounded to 3 decimal places?
0.003
Let h be ((20/18)/(16/(-960)))/((-4)/72330). Round h to the nearest 1000000.
1000000
Let o = 2051.0010555 - 2051. What is o rounded to four decimal places?
0.0011
Let u = 18798 - 18798.0078034. Round u to 5 dps.
-0.0078
Let q = -7417.4 + 7410.2618. Let f = q - -0.0782. Let r = f + 7.060891. Round r to four decimal places.
0.0009
Let o = -43.4550607 + 0.4549455. Let s = 43 + o. Round s to five decimal places.
-0.00012
Let i(s) = 2*s**3 - 107*s**2 + 54*s - 27. Let f be i(45). Round f to the nearest ten thousand.
-30000
Let r = -40 + 11. Let k = r + -35. Let d = k - -63.99999805. What is d rounded to seven dps?
-0.000002
Let o = 2528025 + -2527892.9919. Let f = o - 132. What is f rounded to two decimal places?
0.01
Let s = 931.9169 + -932. Let j = -0.07859 - s. Round j to four decimal places.
0.0045
Let b = 935.2 + -1031. Let i = b + 95.799597. What is i rounded to five decimal places?
-0.0004
Let t = -290372 + 290372.00120417. Round t to four dps.
0.0012
Let r = 13.73 - -3.87. Let x = 50.4 - r. Round x to zero dps.
33
Let y be (-31)/93 + (-1)/15 - (-54879)/(-15). Round y to the nearest one hundred.
-3700
Let x = -0.1214 - -0.0214. Let i = x + 0.100565. What is i rounded to four decimal places?
0.0006
Let r = -288 + 156. Let q = r + 98. Let j = -34.0000037 - q. Round j to 5 decimal places.
0
Let i = 26 + -92. Let r = 239740 + -239806.0004. Let c = r - i. What is c rounded to four decimal places?
-0.0004
Suppose 3*u + 13 = -3*g + 10, -g - 16 = 4*u. Suppose -4*w + 3*c - 4152000 = 0, g*w - c + 4152000 = -5*c. What is w rounded to the nearest one hundred thousand?
-1000000
Let h = -333.984 + 366.2. What is h rounded to the nearest integer?
32
Let a = -1145.8 - -1145.80008919. What is a rounded to five decimal places?
0.00009
Let v = 31 - 29. Suppose v*h - 90 = -h - 3*w, -w + 90 = 3*h. Suppose -h = 2*p - 0*p. What is p rounded to the nearest ten?
-20
Let a = -17 + -12. Let r = a - -31. Suppose r*b = -c + 6*b - 10799992, 2*c + b = -21600002. Round c to the nearest 1000000.
-11000000
Let y = -38483285840.0000659 - -38483284209. Let u = y + 1631. What is u rounded to six decimal places?
-0.000066
Let f = 36898.458 - 36865. What is f rounded to the nearest ten?
30
Let g = 16.3 + -28.6. Let b = g + 0.9. Let t = b - -17.7. What is t rounded to zero decimal places?
6
Let s = -71361 + 119946. Let k = s + -21065. Round k to the nearest one thousand.
28000
Let p = -2867 + -4305. Let u = -17072 - p. Round u to the nearest 1000.
-10000
Let h(t) be the first derivative of 65517*t**2/2 - t + 26. Let z be h(1). Let v = z - 95516. Round v to the nearest ten thousand.
-30000
Let d be (-18)/(-4)*(-16)/(-36). Let u be (-3321)/(d - -1)*1000. Round u to the nearest 10000.
-1110000
Let p be (-2)/(-12) + 55/30. Suppose 2251483 + 1610646 = 2*o - m, 0 = -o - p*m + 1931067. Let c = -1341065 + o. Round c to the nearest 100000.
600000
Let a = -3649 - -3656.395. Let j = -7.5 + a. Let c = j + 0.183. What is c rounded to 2 decimal places?
0.08
Let a = -757 - -512. Let w = -244.9999054 - a. What is w rounded to six decimal places?
0.000095
Let n = 538.794 - 4.194. Let k = -372.3 + n. What is k rounded to the nearest ten?
160
Let r = 30940 + -31752.04. Round r to the nearest one hundred.
-800
Let n = -0.049 - -21.049. Let r = n - 20.936. Let j = r + -0.0607. What is j rounded to 3 decimal places?
0.003
Let c = -5.3 - -103.3. Let m = -97.7742 - 0.1158. Let o = c + m. Round o to two dps.
0.11
Let w = 1189.2049 - -4907.4141. Let l = w - 6094. Let o = l - 0.019. What is o rounded to the nearest integer?
3
Let r = -79225553.998056 + 79225049. Let o = -505 - r. Round o to 4 dps.
-0.0019
Suppose -21*x + 25*x + 6340 = 0. Let b = -4195 - x. What is b rounded to the nearest one hundred?
-2600
Let k be ((-138128)/12 - 2)/((-8)/12). Suppose -7*d + k = -45605. Let n = d + -6182. Round n to the nearest one thousand.
3000
Let w = 1117491 - 2311871. Round w to the nearest 10000.
-1190000
Let f = -10 + 14. Let q = 2 - 0. Suppose -5*d - 27486 = -f*j + 2506, -q*d = j + 12002. Round d to the nearest 1000.
-6000
Let y = -60.56 - -1.56. Let a = 58.361 + y. Round a to two dps.
-0.64
Let a = 1185 + -1185.00007238. What is a rounded to 5 dps?
-0.00007
Let q = -1.0553 - -1.055293976. What is q rounded to six decimal places?
-0.000006
Let i(s) = 41922996*s**3 - s**2 + 23*s + 20. Let u be i(-1). Round u to the nearest one million.
-42000000
Let c = -25.495 + 25.5180428. What is c rounded to 3 dps?
0.023
Let v = 4.924 + -5. Let t = 1.26105477 + -1.1850554. Let y = t + v. What is y rounded to seven decimal places?
-0.0000006
Let t(v) = 46396*v. Let a = 83 + -78. Let s be t(a). Suppose -m + s = 5*x - 678019, -4*m = -x + 182004. What is x rounded to the nearest ten thousand?
180000
Suppose -4*m - 8880 = -4*h, -4*m - 3*h = -m + 6642. Let b = 1219 + m. What is b rounded to the nearest one hundred?
-1000
Let g = 733.323 - 733. Let x = g - 0.3101. Let j = -0.01289522 + x. Round j to 7 dps.
0.0000048
Let o = 6960.7 + -6961.02921. What is o rounded to 1 decimal place?
-0.3
Let a = -42 + 44. Let j be (-1000)/((-27)/(-495)*a/54). Round j to the nearest ten thousand.
-500000
Let q = 34045.3063 + -34043. What is q rounded to 2 decimal places?
2.31
Let s = 3.31 - 0.11. Let u = 54.2 - s. Let d = 51.000043 - u. Round d to 5 dps.
0.00004
Let m = -0.1743 + 1296.1743. Let u = -1321.31 + m. Round u to zero dps.
-25
Let j = 17122 - 17122.0001777. Round j to 5 dps.
-0.00018
Suppose 9 = -4*d + 5. Let m be (2*(0 + d))/((-35)/245). Suppose m*y = 1878250 - 11118250. What is y rounded to the nearest 100000?
-700000
Let m = -1618850.03 - -1620789.05086. Let q = 1939 - m. Round q to three dps.
-0.021
Let m be (1 - -2)/((-39)/(-52)). Suppose -3*y + 38 = m*h, -y + 4*h - 3*h + 1 = 0. Let r be (28/y)/(3 - 14/6). What is r rounded to zero dps?
7
Let a = 0.03593 + -0.035877357. What is a rounded to 6 dps?
0.000053
Let d = 15.362509 - 15.34. Let l = 0.0232 - d. Round l to four dps.
0.0007
Let n = -287219500.8066 + 287166591. Let k = n + 52939.5066181. Let m = k - 29.7. What is m rounded to 6 decimal places?
0.000018
Let z = 29953301 + 61046679. Suppose -g + 3*g - 10 = 0, -5*b - 4*g = z. What is b rounded to the nearest one million?
-18000000
Let h = -3262.57699496 + 3262.704. Let f = -0.127 + h. What is f rounded to 7 decimal places?
0.000005
Let h = 3900.001013 - 3900. What is h rounded to four dps?
0.001
Let l(j) = 6799*j**2 + 1. Let y be 3/9 + 4/6. Let s be l(y). Round s to the nearest 1000.
7000
Let o = 5628.140911 - 5628.41. Let i = 0.269 + o. Round i to six dps.
-0.000089
Let p = -0.027 + 0.02. Let n = 0.007118 + p. What is n rounded to five decimal places?
0.00012
Let d = -1158.626 + 1152. What is d rounded to the nearest 10?
-10
Let z = 6017 - 6016.999906035. What is z rounded to 7 decimal places?
0.000094
Suppose 0 = 20*k - 28*k + 11264. Suppose 7079 = -r + q, 22637 = -3*r - q + k. Round r to the nearest one thousand.
-7000
Suppose -380*a - 914103 = -88*a + 3446917. What is a rounded to the nearest one hundred?
-14900
Let i = -3528.7 - -3528.69970789. What is i rounded to five decimal places?
-0.00029
Let n = 1.14 - -0.21. Let g = 0.636 - n. Round g to 1 dp.
-0.7
Let d(s) = -3 + 0*s - 4*s - 4*s**3 + 0 + 5*s. Let o be d(-3). Let p be (4000/(-6))/(-4)*o. What is p rounded to the nearest 1000?
17000
Suppose -u = 4*b + 1659995, -3248458 = 5*b - 4*u - 1173438. What is b rounded to the nearest 10000?
-420000
Let h = -6 - -15. Suppose -4*i + h = -3. Suppose -59 = -i*r - m, 4*m = r + 2*r - 34. Round r to 0 dps.
18
Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
8 assuming w is positive.
w**(-148694/33)
Simplify (m**(-38))**(-3/26)*((m*(m**(-11/2)/m)/m*m)/m)**(-2/63) assuming m is positive.
m**(3760/819)
Simplify ((m*m/((m*m**(-3/13))/m*m*m))/m)**4*(m*m/(m*m/(m*m/m**25)*m))/(m*m*m**20) assuming m is positive.
m**(-638/13)
Simplify (s**(-3)/s**(-9))**0/((((s**(-2/21)*s)/s*s)/s*s)/(s/((s*s**4)/s)))**(5/4) assuming s is positive.
s**(-205/42)
Simplify ((m**(-1/26)/(m*m**(-2/7)))**(-23))**(-3/7) assuming m is positive.
m**(-9453/1274)
Simplify (x**(2/15)/(x/(x/(((((x**(1/2)*x*x)/x*x*x)/x*x)/x*x)/x)*x))*x*x**(-5)/x*x*x**6)/((x**0)**(5/3)/(x*x**(-3/4)/x*x*x**2*x)) assuming x is positive.
x**(233/60)
Simplify ((o/(o*o/((o/((o/o**2)/o))/o*o*o*o*o)))**(-1/4)*(o/o**0*o)**(-7))/((o**(2/3)*o/o**3)/(o**(-1/2)*o*o**1)) assuming o is positive.
o**(-149/12)
Simplify ((s*s**0)**45)**22/((s**8*s*s/(s*s/(s**(-8)/s))*s)/((s**(-7)/s*s)/(s**(-2)*s))) assuming s is positive.
s**984
Simplify ((d**(-1/11)/(d*d**(-2/15)))/(((d*d**(-1/2))/d)/d)**(-1))/(d*d/(d/(d*((d**0*d)/d)/d))*d**(-4/9)*(d**(-2/9))**(-10)) assuming d is positive.
d**(-5183/990)
Simplify (((q*q**(-5))/q)**(-29)*(q*q**(-3/10))/(((q**(-16)*q)/q)/q))**44 assuming q is positive.
q**(35794/5)
Simplify (((y/(y*y*y**(-1)*y*y))/y)**(1/67))**(-3/16)/((y**(-2/3)/y)/y**2*y**(-1/4)*y**(-2/7)) assuming y is positive.
y**(94793/22512)
Simplify (((x*x*x*x**(-1/20)*x*x*x)/x)**(2/83)/((x**(-21)/x)/(x*x*x*x/((x/x**(-2/39))/x*x))))**49 assuming x is positive.
x**(39761099/32370)
Simplify (n*(n/n**(-1/2))/n)**(-11/5)*(n**(-1))**(-24)*(n**(2/17)/n*n*n**(-2/9)*n)/((n/(n**6*n))/(n*n**(-5)*n)) assuming n is positive.
n**(37631/1530)
Simplify ((d/d**(1/4))**(-39)/(d**(2/3)*(d/(d*d**2*d))/d))/(d**6*d**(-6/11)*d**8/d*d*d**(2/19)) assuming d is positive.
d**(-99007/2508)
Simplify ((j*j*j*j**(-13/5)*j**3)**(-30))**(-48) assuming j is positive.
j**4896
Simplify (x**19*(x/x**(-25))/x)/((x*x*(x**19/x)/x)/x*x/(x*x**(1/51))) assuming x is positive.
x**(1327/51)
Simplify ((((((k/(k/k**5)*k)/k)/k)/k)/k)/k**(-9))**29/(((k/(k/(k**(1/2)*k)*k))/k)**(-6))**(3/11) assuming k is positive.
k**(3500/11)
Simplify (((r*r**(-15)*r)/(r/r**7))/(r**(-3/4))**(20/3))**(-46) assuming r is positive.
r**92
Simplify ((u**(-28)*u)/u**9*(u**(-4/5))**(2/53))**(11/7) assuming u is positive.
u**(-15004/265)
Simplify ((b/(b*b/((b**0/b)/b)*b*b))/b)**(-1/61)*b**(1/5)/b**0*((b/(b*b**0))**(-42))**(1/4) assuming b is positive.
b**(91/305)
Simplify ((s*s/s**6)/s)/s*s*s**(-3/2)*s**(1/2)*s*s/(s*s*s**(-6))*((s/((s**(-2/13)*s)/s*s)*s)/s**(-1))/(s*s**(-2/7)*s*s)**12 assuming s is positive.
s**(-2768/91)
Simplify (c**1/c**(-13))**21/((c**2)**(-18)*(c**(-3)*c)/c*c**(4/5)) assuming c is positive.
c**(1661/5)
Simplify (((s**(-1/5))**(-9/5)/(s/(s*s**(-2/7)))**(-3/5))**(2/127))**(-49) assuming s is positive.
s**(-1302/3175)
Simplify ((v**6*v*(v**(-8)*v*v)/v)/(v**(4/7)/v**(2/21)))/((v**1/v)**(-2/9)*v**(-1/3)*v/((v**9/v)/v)) assuming v is positive.
v**(41/7)
Simplify ((h**4/h)**(-22)/(h**6*h/(h/h**(3/7))*h))**21 assuming h is positive.
h**(-1542)
Simplify (h*h/h**(2/41))**22*(h**15)**(-10) assuming h is positive.
h**(-4390/41)
Simplify (((l/(l/(l*(l/(l*l**(-5)))/l*l)))/l*l*l*l*((l/(l**(-2)/l))/l)/l*l*((l*l**0)/l)**(-40))**(5/8))**(-18) assuming l is positive.
l**(-495/4)
Simplify (p/((p/p**(1/2))/p))**10*p**(-8)/p**(-3)*(p**(-1/2)/p*p/(p/(p**(4/5)/p)))/((p*p**(3/4))/p*p*p*p/p**(-9)) assuming p is positive.
p**(-89/20)
Simplify ((v*v**(7/2))/v**(4/9))**(2/43)*((v*v**(2/3))**(-11/2))**18 assuming v is positive.
v**(-63782/387)
Simplify ((y**(3/13)/y*((y/((y*y*y**(-17/2)*y)/y)*y*y)/y*y)/y)/(y**(-4/15)*y/y**10*y))**(2/61) assuming y is positive.
y**(6239/11895)
Simplify ((s*s**(-4)*s**5/s)/(s/s**(-1))**(-12))/((s/(s/s**(-1)))**(-28))**(-1/8) assuming s is positive.
s**(57/2)
Simplify (u*u**(2/5)*u)**(-41)/((u/u**(-1))/(u/(u*u**5/u)))*(u**(2/3)*u*u)**(-3/23)*(u/(u*u**(-1/2)))**42 assuming u is positive.
u**(-9631/115)
Simplify (a**(-5)*a*a**7*a*a)**(-18)*((a*a**(1/5))**48)**(1/3) assuming a is positive.
a**(-354/5)
Simplify q/q**2*q/(q**(8/5)*q)*q**(2/15)/q**(-2/19)*(q*q*q**(-2/5))**33*(q*(q/(q**(-1)*q))/q)**44 assuming q is positive.
q**(5383/57)
Simplify (j**1/(j/(j/(j*j/(j**(-3/7)*j)))))**(-2/43)*((j**(-1/3))**(-2/17))**(3/4) assuming j is positive.
j**(505/10234)
Simplify (r**(-2/7))**(-42)*r*r/r**(3/5)*r/(r/(r*r**(-2/9)/r))*(r**2/r*r**(-7))**(-1/21) assuming r is positive.
r**(4241/315)
Simplify ((x/(x**(-2/3)/x))**35/((x*x**(-2/13)*x)/(x**(3/5)*x)))/((x/x**(-2/3)*x)/x**(-5)*(x**2*x)/(x/(x**(-2/9)/x))) assuming x is positive.
x**(49516/585)
Simplify (((h**(-2/49))**(10/7))**(1/14))**(-2/19) assuming h is positive.
h**(20/45619)
Simplify ((((g/(g*g**(-2/7))*g)/g)**(-3/5)*g**(-4)/g*g*g/(g/g**2))**6)**(-36) assuming g is positive.
g**(16416/35)
Simplify ((x/x**20)/(x/((x*x**6)/x)*x))/(x*x/(x/((x*x**(-3/20))/x))*x**13) assuming x is positive.
x**(-577/20)
Simplify t/((t/(t/t**(2/111)))/t)*t*(t/t**(-45))/t*t**(-10)*t**(9/7) assuming t is positive.
t**(30511/777)
Simplify ((q**(-6))**(-4/21)/(q*q**2)**(-2/11))**(-39) assuming q is positive.
q**(-5070/77)
Simplify ((l/(l**1*l))**(-3/2)/(l**(1/10)/(l*l**4)))/((l/l**(-4/3))/(((l*l**(5/2))/l)/l)*(l/(l/l**6)*l)/(l*l/(l/((l/(l/l**4))/l)))) assuming l is positive.
l**(77/30)
Simplify l**14*l*l**(-4/17)/l*(l**(26/5)/l)**(-9) assuming l is positive.
l**(-2043/85)
Simplify ((n/(n*n**(-1/4)*n)*n)**(36/7))**(-3/7)/((n**(-1))**47*n**3*n*n**(-3/7)*n) assuming n is positive.
n**(2052/49)
Simplify ((p**(-2/15))**(12/7)/(p*(p/(p/(p/(p*p**10))))/p*p*p**(1/19)))**(-23) assuming p is positive.
p**(-133354/665)
Simplify ((r*r**0)/r*r)**45/(r**(-2/11)*r*r**(2/5))*r*r**(-6)*r*r**0/r*r*r*(r*r**(1/2))**(-4/27) assuming r is positive.
r**(20077/495)
Simplify (y/(y*y**2)*y*y*y**(-25)*y*y*y)/(y**(4/31)*y**(-4)/y) assuming y is positive.
y**(-531/31)
Simplify ((f*f/(f*f/f**(2/13)))/(f*f**15)*f**(3/8)/(f/f**(4/27)))**0 assuming f is positive.
1
Simplify ((((((t/(t**5*t))/t)/t*t)/t*t)**25*t**(-2)/(t/(t/(t*t**13)*t)))**(2/133))**43 assuming t is positive.
t**(-14190/133)
Simplify ((i**(-1/7)/(i**(-2/13)*i))/(i**(5/3)*i**(-2)/i))/((i**(-3/7)/i**5)/(i*i/(i**4/i)*i*i**(-1/3))) assuming i is positive.
i**(495/91)
Simplify ((y**(-2/15)*y)/y*(y**(-14)/y)/y)/(y**(-5/9))**34 assuming y is positive.
y**(124/45)
Simplify (r**(-3)*(r**7/r)/r)**(2/89)*(r*r/((((r/r**6)/r)/r)/r)*r**(-4/7)/r)/(r**(-3)*r*r**1) assuming r is positive.
r**(5902/623)
Simplify (m**(-3/13)/m**(-5/4))**17/(m**(-1/16)*m**(-2/13))**(-2/3) assuming m is positive.
m**(1787/104)
Simplify ((h/((h*h/(h**(-1)/h)*h)/h))**(-2/51)/(h**(-2/5))**(-2/3))/((h**9/h)/((h**5*h)/h))**(-1/2) assuming h is positive.
h**(689/510)
Simplify ((((b/b**(-3))/(b**(-6)*b))/(b**0/b)**21)**(-7/3))**(3/17) assuming b is positive.
b**(-210/17)
Simplify (((q/((q**(-3)/q*q)/q))/(q*q*q/(q*(q/((q/(q**28/q))/q))/q)*q))/(q**23/q*(q/q**(1/17)*q)/q))**4 assuming q is positive.
q**(412/17)
Simplify ((t**(2/7)/t)**10)**(-1/32)/((t/t**(-4))/(t/(t/t**(4/7)))*(t**(-3/4)/t)/t**(-1/3)) assuming t is positive.
t**(-937/336)
Simplify (((a*(a**(-5)*a)/a)/a)**(-46)/((a*a*a**(-1/51)*a)/a*a*a)**(-2/19))**36 assuming a is positive.
a**(2679312/323)
Simplify (o**(-14)/(o/(o*(o*o/(o**1/o))/o*o)))**18*((o/(o/(o/((o*o/(o/o**5))/o*o)*o*o)))**(-2/43))**(-5) assuming o is positive.
o**(-9318/43)
Simplify (i**(-2/21)*i*i*i*i**(-2)*i*(i**(-2/3))**20)/(i**(4/3)/i*i/(i**(-2/15)*i*i)*(i**(2/3))**(-28)) assuming i is positive.
i**(272/35)
Simplify x**(-1)/x**3*x**1*x*x*x*(x/((x*x**(-9)*x)/x))/x*((x/(x**3*x))**(-28))**(7/10) assuming x is positive.
x**(334/5)
Simplify (n**(-1/4))**(-2/111)*(n/((n**(-2/5)/n)/n)*n)**(-1/3)*(n/(n/n**0)*n*n**2)**(-17) assuming n is positive.
n**(-19411/370)
Simplify (g*((g**(1/7)/g)/g)/g*g)/g**(4/7)*g**3*g/((g/(g/(g**5/g)))/g)*(g**(-2/9)/(g/g**(-5)))/(g**(1/2)*g**(1/2)/g) assuming g is positive.
g**(-419/63)
Simplify ((((y*y**2)/y)/y*y*y)**10*(y**(-1/4))**(-4/13))/((y/y**1)**(-2/61))**(6/7) assuming y is positive.
y**(391/13)
Simplify ((v*v/v**(-2/15))/(v/(((v**(7/3)/v)/v)/v)))**(4/5)*(v**(-8)*v*v*v**1)/(v**(-2)/v**(-7)) assuming v is positive.
v**(-722/75)
Simplify ((x/(x**(-2/3)/x*x*x))/x)**(-11/5)*(x*x/x**0)**22*(x/x**0)**(-13)/((x**1/x)/(x/((x*x**(-2))/x))) assuming x is positive.
x**(521/15)
Si
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{
"pile_set_name": "DM Mathematics"
}
|
o**4/3 + 529*o**3/3 - 2*o + 5. Solve i(f) = 0.
0, 23
Let a(t) be the third derivative of t**7/420 - 7*t**6/240 + 3*t**5/20 - 5*t**4/12 + 2*t**3/3 - 18*t**2 - 5*t. Factor a(z).
(z - 2)**3*(z - 1)/2
Let y(x) be the third derivative of -x**6/600 - x**5/75 - x**4/24 - x**3/15 - 136*x**2 + 3. Factor y(i).
-(i + 1)**2*(i + 2)/5
Factor 2930*m**2 + 1571*m**5 - 3225*m - 789*m**5 - 135*m**4 - 787*m**5 - 690*m**3 + 1125.
-5*(m - 1)**3*(m + 15)**2
Let g = -128 - -132. Let z(h) be the first derivative of 3 - 5/2*h**2 - 7/16*h**g + 3/2*h**3 + 1/20*h**5 + 2*h. Factor z(p).
(p - 2)**3*(p - 1)/4
Let k(j) be the first derivative of -j**7/1960 + j**6/210 - j**5/56 + j**4/28 - 17*j**3/3 - 18. Let c(i) be the third derivative of k(i). Solve c(s) = 0 for s.
1, 2
Let t be (-94)/2209 - (-1293)/564. Suppose -3/4*x**2 + 3*x - t = 0. What is x?
1, 3
Let t(y) = -y**3 - 7*y**2 - 6*y + 8. Let x be t(-6). Suppose -7*w**3 + x*w**3 - 3*w**5 + 2*w**3 = 0. What is w?
-1, 0, 1
Factor 0 - 3/7*w**3 + 0*w + 9/7*w**2.
-3*w**2*(w - 3)/7
Factor -12 + 62/5*v - 2/5*v**2.
-2*(v - 30)*(v - 1)/5
Let n(z) be the second derivative of 3*z**5/20 + 3*z**4/2 + 9*z**3/2 + 6*z**2 - 73*z. Factor n(i).
3*(i + 1)**2*(i + 4)
Let l(n) = -1. Let a(y) = y**2 - 5*y + 9. Let m(g) = -a(g) - 3*l(g). Factor m(p).
-(p - 3)*(p - 2)
Let n(t) be the third derivative of 0*t + 9/20*t**5 - 1/40*t**6 - 43*t**2 - 15/8*t**4 + 7/2*t**3 + 0. Factor n(a).
-3*(a - 7)*(a - 1)**2
Let t(x) = x**2 - 6*x - 59. Let o be t(11). Let h be (16/102)/(o/(-6)). Determine g so that 2/17*g**2 + 2/17 + h*g = 0.
-1
Let m(g) = -g**3 + g**2 - g - 1. Let a(h) = 14*h**3 + 124*h**2 + 95*h - 29. Let b(d) = -5*a(d) - 35*m(d). Find v, given that b(v) = 0.
-18, -1, 2/7
Let o(r) be the first derivative of 3*r**4 + 20*r**3/3 + 2*r**2 - 4*r + 72. Factor o(b).
4*(b + 1)**2*(3*b - 1)
Let t(j) = 9*j**2 - 1421*j - 83539. Let y(g) = 12*g**2 - 2131*g - 125309. Let p(c) = 7*t(c) - 5*y(c). Suppose p(q) = 0. Calculate q.
-118
Let g(q) = -6*q + 3. Let i(l) = l**2 + 11*l - 6. Let c(z) = 5*g(z) + 3*i(z). Let n be 6/9 + 4/12. Let p(r) = r + 1. Let h(y) = n*c(y) + 3*p(y). Factor h(a).
3*a*(a + 2)
What is j in -368758*j**2 + 8*j - 31*j + 31 - 7*j + 368757*j**2 = 0?
-31, 1
Let c = -9346 - -18811/2. Factor -6 + 40*p - 49/2*p**3 - c*p**2.
-(p + 3)*(7*p - 2)**2/2
Let f(v) = 3*v**4 + 69*v**3 + 15. Let c(m) = m**4 + 17*m**3 + 4. Let t(g) = 15*c(g) - 4*f(g). Factor t(a).
3*a**3*(a - 7)
Let z(j) = j**2 - 5*j + 1. Suppose -4*y = 3*y - 14. Let x(s) = -s**2 + 4*s - 1. Let n(o) = y*z(o) + 3*x(o). Let n(k) = 0. What is k?
1
Let w(v) be the second derivative of -2*v**5/5 - 5*v**4/3 + 8*v**3/3 + 6*v**2 + 107*v - 1. Find l such that w(l) = 0.
-3, -1/2, 1
Let n be ((-2299)/(-133) - 17)/(-1 + (-19)/(-14)). Factor 16/5 + 1/5*o**5 + 3/5*o**4 - n*o**3 - 16/5*o**2 + 0*o.
(o - 2)*(o - 1)*(o + 2)**3/5
Let v be (16/9)/(8/12). Let w(n) be the first derivative of 0*n**2 + 0*n**4 - v*n**3 + 4/5*n**5 - 8 + 4*n. Factor w(a).
4*(a - 1)**2*(a + 1)**2
Let d = 14701/95303 + -3/7331. Factor d*f**2 + 72/13 + 24/13*f.
2*(f + 6)**2/13
Let -2/9*k**3 + 8/9*k + 8/9*k**2 - 32/9 = 0. Calculate k.
-2, 2, 4
Factor -430/3*y + 205/3*y**2 + 20/3*y**3 - 40.
5*(y - 2)*(y + 12)*(4*y + 1)/3
Let u(i) be the third derivative of 23*i**6/120 - i**5/30 - 23*i**4/24 + i**3/3 - 4*i**2 + 9. Find a such that u(a) = 0.
-1, 2/23, 1
Let l(q) be the first derivative of 4*q**5/5 + 572*q**4 + 163592*q**3 + 23393656*q**2 + 1672646404*q + 24. Factor l(y).
4*(y + 143)**4
Find u, given that -2839714/5 - 1156*u**3 - 34*u**4 - 167042*u - 19652*u**2 - 2/5*u**5 = 0.
-17
Factor 3*m**2 - 80*m + 41*m + 42*m - 2*m**2.
m*(m + 3)
Let c(b) = -35*b**2 + 15*b - 5. Let v(o) = o**2. Suppose 5*z + 342 = -u, 2*z + 3*u = -0*u - 142. Let h = z + 43. Let j(s) = h*v(s) - c(s). Factor j(g).
5*(g - 1)*(2*g - 1)
Let s = 971/24 - 297/8. Suppose -s + 25/3*r - 20/3*r**2 + 5/3*r**3 = 0. Calculate r.
1, 2
Solve 1/4*l**3 + 0*l**2 + 0*l + 1/4*l**4 + 0 = 0 for l.
-1, 0
Let q(m) be the second derivative of m**7/273 + 17*m**6/195 + 31*m**5/130 + 5*m**4/26 - 2*m - 68. Factor q(v).
2*v**2*(v + 1)**2*(v + 15)/13
Factor 0*h + 5/9*h**4 + 0 + 11/9*h**3 + 2/9*h**2.
h**2*(h + 2)*(5*h + 1)/9
Let w(k) be the third derivative of -k**8/42 + 11*k**7/105 + 19*k**6/60 - 22*k**5/15 - k**4 + 130*k**2 - 2. Determine i so that w(i) = 0.
-2, -1/4, 0, 2, 3
Suppose 0*b - 2*t = 5*b - 207, -4*t = -2*b + 102. Solve 27*z**3 + 7*z**2 + 3*z**2 - 2*z**4 + 5*z**5 + 35 - 43*z**4 + b*z**3 - 75*z = 0.
-1, 1, 7
Let o(c) = 3*c + 20. Let g be o(-5). Factor -25 + 2*r**3 + g*r - 5 - 4*r**3 - 3*r**3 + 30*r**2.
-5*(r - 6)*(r - 1)*(r + 1)
Let j(s) be the first derivative of -s**5/4 - 35*s**4/12 - 55*s**3/6 - 25*s**2/2 + 18*s - 18. Let b(p) be the first derivative of j(p). Factor b(l).
-5*(l + 1)**2*(l + 5)
Let p = -56/3 + 113/6. Let q(t) be the first derivative of 0*t + 1/9*t**3 - 1/15*t**5 + 2 + p*t**2 - 1/12*t**4. Factor q(k).
-k*(k - 1)*(k + 1)**2/3
Let a = -49 + 48. Let t(w) = w**2 - 2. Let q(v) = -20*v**2 + 28*v + 32. Let o(s) = a*q(s) - 16*t(s). Factor o(r).
4*r*(r - 7)
Solve 18 - 6*u + 1/2*u**2 = 0.
6
Let m(w) be the first derivative of w**6/3 + 32*w**5/5 + 63*w**4/2 - 32*w**3/3 - 64*w**2 - 203. Find d, given that m(d) = 0.
-8, -1, 0, 1
Let m be (-84)/(-135)*45/18. Factor -4/9 + m*n - 2/9*n**4 - 2*n**2 + 10/9*n**3.
-2*(n - 2)*(n - 1)**3/9
Let o = 8234/6171 + -2/2057. Factor 0 - o*i**3 - 4/3*i - 8/3*i**2.
-4*i*(i + 1)**2/3
Suppose -h + 3*h = -3*v + 60, -v + 21 = h. Factor -v*i**2 - 54*i**3 - 710 + 710 - 2*i - 54*i**4.
-2*i*(3*i + 1)**3
Let n(y) = -9*y**3 + 197*y**2 + 70*y - 130. Let l(r) = -10*r**3 + 199*r**2 + 71*r - 131. Let m(o) = -6*l(o) + 7*n(o). Determine t so that m(t) = 0.
-1, 2/3, 62
Let h(i) be the first derivative of 24*i**5/5 - 25*i**4 - 4*i**3/3 + 44*i**2 - 32*i + 60. Suppose h(l) = 0. Calculate l.
-1, 1/2, 2/3, 4
Let u(i) = -4*i**3 + 106*i**2 - 22*i - 145. Let y(z) = z**3 - 27*z**2 + 5*z + 36. Let r(a) = 6*u(a) + 26*y(a). Factor r(o).
2*(o - 33)*(o - 1)*(o + 1)
Let o(s) = -10 - 4*s - 6*s + 21 + 0*s**2 + s**2. Let x be o(9). Suppose x*f**2 + 1 - 2*f + 1 - 6 = 0. Calculate f.
-1, 2
Let m(r) be the third derivative of -r**6/240 + r**5/60 + r**4/16 + 163*r**2. Factor m(j).
-j*(j - 3)*(j + 1)/2
Let j(x) be the first derivative of -2 + 1/3*x + 5/6*x**4 + 5/6*x**2 + 10/9*x**3 + 1/3*x**5 + 1/18*x**6. Let j(d) = 0. What is d?
-1
Let p(i) be the third derivative of i**6/540 + 2*i**5/135 - 7*i**4/108 - 10*i**3/27 - 22*i**2 + 3. Suppose p(d) = 0. What is d?
-5, -1, 2
Let v(c) = -c**2. Let f(i) = 8*i**2 + 16*i. Let k(j) = f(j) + 12*v(j). Factor k(a).
-4*a*(a - 4)
Let p(l) = -6*l**4 - 7*l**3 - 8*l**2 + 11*l - 10. Let s(c) = -7*c**4 - 7*c**3 - 8*c**2 + 10*c - 12. Let g(q) = 6*p(q) - 5*s(q). Find i, given that g(i) = 0.
-4, 0, 1
Let j(c) be the first derivative of 0*c + 1/4*c**6 - 9/8*c**4 - 3/2*c**2 - 5/2*c**3 - 8 + 3/10*c**5. What is k in j(k) = 0?
-1, 0, 2
Let i(z) be the second derivative of 0 + 0*z**2 - 3/80*z**5 + 14*z + 1/8*z**3 + 0*z**4. Factor i(o).
-3*o*(o - 1)*(o + 1)/4
Factor -2/3*t**2 + 5/3*t - 1/3*t**3 + 2.
-(t - 2)*(t + 1)*(t + 3)/3
Let u(c) = c**5 + 442*c**4 - c**3 - 481*c**2 - 13*c + 26. Let w(q) = 74*q**4 - 80*q**2 - 2*q + 4. Let s(r) = 4*u(r) - 26*w(r). Suppose s(y) = 0. What is y?
-1, 0, 1, 39
Let v(b) be the third derivative of -2*b**3 - 14*b**2 + 0*b + 0 - b**4 + 1/70*b**7 + 1/8*b**6 - 1/112*b**8 - 1/20*b**5. Factor v(p).
-3*(p - 2)**2*(p + 1)**3
Let v = -9 + 13. Suppose -4*z + w + w = -10, v*z + 2*w = 6. Solve -j + j**2 + j - z*j - 3 = 0 for j.
-1, 3
Let c(g) be the second derivative of -1/70*g**5 + 0 + 0*g**3 - 1/42*g**4 + 0*g**2 + 38*g. Find t, given that c(t) = 0.
-1, 0
Suppose -5*g**2 + 0*g + 150 - 62*g - 3*g + 0*g**2 = 0. What is g?
-15, 2
Let k be (2/4)/(1/18). Let f = 12 - 10. Factor 3*n**3 - 6 + 13 + 7*n - 10*n**2 + 2*n**f - k.
(n - 1)**2*(3*n - 2)
Suppose -3*l = -6*l. Suppose l*y = 2*y. Factor 2/5*i**2 + y*i + 2/5*i**3 + 0.
2*i**2*(i + 1)/5
Factor 26/11*g - 24/11 - 2/11*g**2.
-2*(g - 12)*(g - 1)/11
Let t(x) be the second derivative of -x**4/6 + 4*x**3/3 + x**2/2 + 20*x. Let h(n) = -n**2 + 7*n + 2. Let g(d) = -3*h(d) + 2*t(d). Factor g(y).
-(y + 1)*(y + 4)
Let j(m) be the first derivative of m**6/900 - m**4/60 + 4*m**3 + 10. Let g(b) be the third derivative of j(b). Fin
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{
"pile_set_name": "DM Mathematics"
}
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reater than or equal to n?
True
Suppose -o = -5*o + 256. Suppose o + 64 = -4*q. Let i be (-4)/(-22) + q/(-308). Which is greater: i or 0?
i
Let p be 16/(-2)*(-36)/48. Suppose -60 = p*d - 2*d. Let w = 58 + -74. Which is smaller: d or w?
w
Let b = -1/4 + 1/36. Let i be 1 + -3 + (-15)/(-5). Is i not equal to b?
True
Let r be (2/6)/(1/12). Suppose s = r*w - 25 - 25, 18 = w - 3*s. Let a = w - 12. Is -2 greater than or equal to a?
False
Let r = 39 + -4. Suppose 14*v - 11*v = 105. Is v at least as big as r?
True
Suppose 3*w - 20 = 19. Suppose 0 = -g - 2, -4*z + g + 40 = -22. Is z bigger than w?
True
Let a be (-3 - -2)*(-3 + 9). Let j = -7 - a. Let u be -1*(-2 + 2)*j. Is 2/17 <= u?
False
Suppose j - 3 = 25. Suppose -10*s = -42 - j. Which is smaller: 8 or s?
s
Let t = -49 + -6. Let q = 57 + t. Let v = 274 - 815/3. Which is greater: v or q?
v
Let n = -12 - -12. Suppose -5*c + 5*q = -2*c - 28, 2*c - q - 28 = n. Which is greater: c or 18?
18
Let d = 1.55 - 1.4. Let f = 9.25 + -9. Let r = f - d. Does 0 = r?
False
Let h(p) = -p**3 + 12*p**2 + 5*p - 60. Let n be h(12). Which is smaller: -2/8361 or n?
-2/8361
Suppose -4*r + 5 = -15. Let d be r/35 + 3/(-7). Let a = -125/6 - -62/3. Is d not equal to a?
True
Suppose 2*b = -5*t - 0*b - 645, b - 376 = 3*t. Which is bigger: -125 or t?
-125
Let u = 1140 + -1137.23. Which is bigger: u or 3?
3
Let s = -21 + 13. Let l = 1 - s. Suppose -3*y + l = -6. Which is smaller: 6 or y?
y
Let a be (-8 - (-91)/14)*-2*1. Is a > 47/14?
False
Let l(g) = -g**3 + 8*g**2 - 13*g + 6. Let n be l(6). Let s = 10 + -6. Is s less than n?
False
Let q be (-2)/(-3 - -1) + -1. Suppose -m = 1 - q. Let k be m + 2 + 4 + -4. Which is smaller: k or -6/13?
-6/13
Let p be 3/((-1185)/775) - (-5 + 3). Is -1 bigger than p?
False
Let q = 13 - 8. Suppose c - 19 = 5*u, u = q*c - 0*c - 23. Let z be 1*(c/(-2) - 5). Which is smaller: z or -6?
z
Suppose 3*t - 5*w - 10 = 0, 99*t = 96*t + 3*w + 18. Let b(d) = -d - 5. Let h be b(-6). Does t = h?
False
Let l be 0 + ((-96)/30)/8. Let b(r) = r - 2. Let g be b(5). Suppose -g*d + 32 = d. Is d != l?
True
Suppose 45*r = 38*r - 602. Which is smaller: r or -90?
-90
Let o be (-2)/(-7)*14/16380. Is o > -1?
True
Let o = 608/21 - 29. Are -2.6 and o unequal?
True
Let b be 6/8 + (16764/2096)/(-11). Which is bigger: 1 or b?
1
Let h = 161 - 160. Let j be ((-119)/119)/(h*-1 - -2). Let b(u) = -u**3 + 3*u**2 - 3*u + 3. Let y be b(2). Are j and y equal?
False
Let t = -5 + 5. Let m = 273 + -2997/11. Which is smaller: m or t?
t
Let r(n) = -11*n - 277. Let b be r(-25). Is b at most as big as -26/9?
False
Let c = -2974 + 2974.1. Let l = -0.5 - -0.54. Let k = l + -0.1. Which is greater: k or c?
c
Let k(z) = 11*z + 53. Let u be k(-10). Suppose 53 = -f - 4*i, 3*f - 2*i = -6*i - 167. Is u at most as big as f?
True
Let h = 0.07 + -0.07. Let x = -0.4 + 0.6. Let g = x + h. Which is smaller: g or -5?
-5
Suppose 2174 = 11*l + 612. Let o be -14 + 18 + l/(-8). Is o less than -14?
False
Let w be -11 - ((-13)/65 + 28/(-10)). Which is greater: w or -2?
-2
Let j = -2330/13 - -179. Let k(m) = 5*m**3 + m**2 - m - 1. Let a be k(-1). Let r = -4 - a. Is j at least r?
False
Suppose 4*h + m = -0*m - 13, 3*h + 4*m + 13 = 0. Let t be (-2)/(h + (-15)/(-6)). Suppose c + t*c = 10. Is c smaller than 3?
True
Let v be -30*(14/(-6) - -2). Let k be 165/(-121)*(-56)/v. Which is smaller: 8 or k?
k
Suppose 0 = 4*o + 3*n - n - 974, -1204 = -5*o + 2*n. Does o = 1?
False
Let h(a) = -a**3 + 20*a**2 - 23*a + 10. Let f be h(19). Which is greater: f or -65?
-65
Let p = 4/2463 + 184693/19704. Are 8 and p equal?
False
Let d = -34.63 - 0.37. Let x = d - -35.4. Which is greater: x or -0.05?
x
Let u = 7 - 3. Let k be -4 + (-20)/(2 - u). Suppose -k*z + z - 29 = 3*y, -4*z - 16 = 0. Which is smaller: -3/2 or y?
y
Suppose -3*r + 1 = -8, -3*o + r = -12. Suppose -g + o*g - 30 = -5*n, -2*n + 19 = 3*g. Does 5 = g?
True
Let u(c) be the second derivative of c**5/20 + 11*c**4/6 + 7*c**3/2 + 8*c**2 - 3*c. Let h be u(-21). Suppose 12 = 5*l - 63. Which is bigger: h or l?
h
Suppose 4*f - 32 = -5*t, -4*f + 48 = 4*t + 16. Suppose 2*u + 5*n = f, -4*n = -0*n. Suppose -u*b + b + 40 = -2*a, -2*b = 2*a - 30. Which is smaller: 25/2 or b?
25/2
Suppose 0 = -11060*n + 11059*n + 325. Is n less than or equal to 321?
False
Let a be -6 - ((-9)/9 + -24). Are 17 and a unequal?
True
Let r = 1894.17 + -4.17. Which is smaller: -1/3 or r?
-1/3
Suppose 5*d = d + 4. Let z be (-12)/(-36) - (-740)/(-6). Let r = 3569/29 + z. Is r not equal to d?
True
Let j(y) = 2*y**3 + 70*y**2 - 17. Let b be j(-35). Which is smaller: b or -21?
-21
Let j(g) = -g + 3. Let l be j(3). Let t be (l + 9)*(12 - 13). Is t < -7?
True
Let x = -796 - -774. Which is smaller: x or -208/9?
-208/9
Let n(t) = 32*t**2 + 5*t - 21. Let q be n(6). Let z = 20911/18 - q. Is 1 <= z?
False
Let r = 18 + -12. Suppose 4*o + r = -62. Let n be (-4)/(-16) + o/100. Which is smaller: -1 or n?
-1
Let a(r) = r**2 - 16*r + 3. Let z be a(16). Suppose -z*f + 5*i - 13 = -86, -5*i + 20 = 0. Which is bigger: -1 or f?
f
Let h = -4 - -12. Let r = h + -8.2. Let w = 0.1 + r. Is -0.04 <= w?
False
Let z be 91/52 + (-1)/(-4). Suppose -z*f = -3*a + 5, 6*f + 18 = 2*a + f. Which is bigger: -6 or a?
a
Let v(n) = 2*n**3 + 15*n**2 - 15*n - 33. Let r be v(-8). Is 95/4 at most as big as r?
False
Let w = -86 - -44. Let y be (-15)/(-10) + w/32. Is 0 greater than y?
False
Let j be 1/(-4)*0*-1. Let n be j/3 + (-2)/129. Which is smaller: 0 or n?
n
Suppose -p = -0*p - 7. Let y = p - 15. Let n = 3 + -12. Is y at most as big as n?
False
Let d be ((-6)/(-444))/((-29)/2). Which is smaller: d or -1?
-1
Let d be (2 - 1)/((-2)/(-1966)). Let j = d + -42271/43. Which is greater: j or 0?
0
Let i = 10 + -7. Suppose o = i - 1. Suppose -2*f = -0*f - o. Which is smaller: -1/3 or f?
-1/3
Let i be (-10)/(-660) + (-1)/(-6). Which is smaller: i or 4?
i
Let p = 21.051 + -0.051. Let r = 19 - p. Let s = 2 + r. Is 0.1 >= s?
True
Suppose 17 = 5*y - 33. Let o(x) be the second derivative of x**4/12 - 2*x**3 + 19*x**2/2 + 3*x. Let t be o(y). Which is bigger: -2/71 or t?
-2/71
Suppose 7*k = 3*k - 8. Let b be k - ((-4)/(-7) - 1). Let s = -1 - b. Does 0 = s?
False
Let t = 1.16 + -1.3. Let k = 0.76 - t. Let h = -0.9 + k. Is h <= -1?
False
Let s = 71.2 + -76. Let j = 1.2 - s. Which is greater: j or 9?
9
Let y be -3 + 25/9 - 14/(-63). Is -17 smaller than y?
True
Let g = -949/12 + 265/4. Suppose -10*v - 13 = -9*v. Let j = g - v. Is 0 != j?
True
Let n(b) = -b**3 - 24*b**2 - 63*b - 1. Let g be n(-21). Is g <= 10/579?
True
Let l be (-4)/18 + 222/27. Let p = l + -14. Let w(s) = -2*s**2 - 5*s - 4. Let h be w(-3). Which is greater: h or p?
p
Let s = 519.765 - 522. Is 1 at most as big as s?
False
Let y = 1334.059 + -1334. Is 1.5 > y?
True
Let x(t) = 14*t - 4*t - 6*t + 6 + t**2. Let p be x(-4). Suppose p*b + b = 14. Do 4/7 and b have different values?
True
Suppose -15 = -3*o - 3*z, -3*o + 2*z + 8 = -2*o. Suppose o*p - p = 25. Suppose -p*i = -1 - 4. Is i > -16?
True
Let t = 2 - 5. Suppose 5*r - 1810 = -1820. Let f be 0/(-3 - (r + t)). Do f and 0 have different values?
False
Let t = -15 - -21. Suppose 138*d = 136*d + 6. Suppose -d - t = c. Is -9 <= c?
True
Let j be ((-5)/(10/4))/133. Let d = 0.0568 - 0.1568. Which is smaller: d or j?
d
Let c = 806/17 - 20152/425. Which is greater: 1/4 or c?
1/4
Suppose 3*d - 3 = 2*d. Suppose d*r - 10 = -2*r. Is r less than -3?
False
Let r = -1133 - -1133. Is r less than 40/31?
True
Let x(l) = -2*l**2 - 5*l + 7. Let m be x(-5). Let n(c) = -c**3 - 7*c**2 + c - 2. Let q be n(-7). Let w be ((-18)/4)/q*0. Is w bigger than m?
True
Suppose -5*k - 2*j = -17, -7*k + 4*j - 13 = -10*k. Which is smaller: k or -4/5?
-4/5
Let v = 3 + -15. Let z be ((-2)/(-21))/(v/(-9)). Let y = 31/42 - z. Which is smaller: 0.1 or y?
0.1
Let h(x) = 14*x - 48. Let d(y) = 5*y - 16. Let s(g) = 8*d(g) - 3*h(g). Let b be s(10). Suppose 4*u + 23 - 3 = 0. Which is bigger: b or u?
b
Let x(i) = i**2 + 3*i + 1. Let g be x(-3). Suppose 8*o - 172 = 51*o. Are g and o nonequal?
True
Let z = 20 + -18. Suppose z*u + 7 = w, -2*u - 2*u = -4*w + 36. Suppose o - 11 = -3*h + 4*h, 5*o - 48 = -2*h. Do w and o have the same value?
False
Let x(c) = -c**3 + 21*c**2 + 21*c + 22. Let r be x(22). Suppose r = -27*j + 32*j + 5. Which is smaller: j or 2/25?
j
Let n = 449
|
{
"pile_set_name": "DM Mathematics"
}
|
t j be (-45)/(-150)*(1 + (-5)/3). Which is the second smallest value? (a) h (b) j (c) 4
a
Let w = -17554.92 + 17555. Which is the smallest value? (a) 1/7 (b) -2/49 (c) w (d) -1 (e) -4
e
Let f = 19.693 + -16.693. Let l be 3/(-3) + (-8)/(-3). What is the third biggest value in -0.5, l, f, -4?
-0.5
Let w = 7/79 - 265/316. Which is the second smallest value? (a) 0 (b) 1 (c) -2 (d) w (e) 2
d
Suppose -11 = 3*m - 5. Let v be m*(-2)/14*49/(-14). Let w be 5/v - (-3 - -2). What is the third smallest value in w, 0, 0.1?
0.1
Let g be 9/(-7) - ((-6)/28)/(489/652). Suppose x + 2*x = 0. What is the smallest value in x, -55, g?
-55
Let u = -7.31741 + 0.01741. What is the third biggest value in -15, u, -0.2?
-15
Let j = -0.28 + -0.72. Suppose 194 = -5*u + 3*z - 25, -3*z + 177 = -4*u. Let i = 42 + u. What is the smallest value in j, 4, 0.3, i?
j
Let w(f) = -f**3 + 9*f**2 - 7*f - 6. Let i be w(8). Suppose -2123 = 29*d + 2227. Let q be 12/10*d/45. What is the second biggest value in 1/3, -2/9, q, i?
1/3
Let d = 0.3026 - 0.2026. What is the smallest value in -61, d, -7, -3?
-61
Let j = 63.5 + -64.213. Let l = -0.313 - j. What is the second smallest value in 2, l, 0.5?
0.5
Let f = 3.2 + -12.2. Let o = f - -6. What is the second biggest value in 2, o, -3/4?
-3/4
Let p = -32.1 + 34.6. Let r = -1.5 - p. What is the third biggest value in r, 1, 5/8, 2?
5/8
Let q = -8604 - -8608. What is the biggest value in 29, 0.03, q, 2, 3/7?
29
Let x = 39 - 11. Let j be 1*(9/36 - 39/x). Suppose -10 = o + 3*u, -1 = 3*u + 8. Which is the third biggest value? (a) j (b) o (c) -2
c
Let j = 282 - 93. Let o = j + -185. Which is the smallest value? (a) -3 (b) o (c) 0.1
a
Let q = 3938/9 + -19672/45. What is the fourth smallest value in -2/3, -1, -10/9, -3, q?
-2/3
Let y be ((-2)/(-4))/((-7)/(-42)). Suppose 0 = v + 3*q - 39, 185*q - 186*q + 69 = 5*v. Which is the biggest value? (a) v (b) 0.1 (c) y (d) -0.4
a
Let g = 1291.8 + -1103. Let z = g - 189. What is the third smallest value in 2, 3/2, z?
2
Let m = -221594/25 - -8864. Which is the fourth smallest value? (a) -2/11 (b) -1/5 (c) 2 (d) m
c
Let l = -416.5 + 418.5. Let u be (-30)/(-45)*6/(-40). Which is the biggest value? (a) l (b) u (c) -2 (d) -0.5
a
Let s = 1 + -6. Let x = 374 - 370.97. Let z = 2.83 - x. What is the third biggest value in z, -4, s, -2/11?
-4
Let o = -2.09836 + 0.09836. Let u = 34 + -4. What is the smallest value in u, -0.5, o?
o
Let q = 156.9 + -139.9. What is the third smallest value in 10/9, 3, q?
q
Let t = -9296 + 9294. Which is the fourth biggest value? (a) -710/7 (b) t (c) 1 (d) -0.1 (e) 5
b
Let w = 3619/7226 + -3/3613. What is the fourth smallest value in -5, -1/29, w, 0?
w
Let i = -16.03 - -2.23. Let l = i - -13.9. Which is the third smallest value? (a) l (b) 10 (c) 1/5
b
Let r(b) = 2*b + 24. Let d be r(-10). Let a be (-3 + 11/d)*1. Let j = -193 - -192.6. What is the second smallest value in 11, j, a?
a
Let k = 0.26644 - 0.16644. Which is the fourth biggest value? (a) -8 (b) k (c) 0.39 (d) -0.4
a
Let o = -14950 - -14990. Which is the second smallest value? (a) 0.4 (b) o (c) -6
a
Let v = -0.04 - 2.96. Let o(y) = 32*y**2 - 192*y + 3. Let s be o(6). Let x be (s/(-18))/((-2)/(-27)). What is the smallest value in x, -5, 5, v?
-5
Let q = 126208517/907288 - -1/47752. Let f = 139 - q. Which is the smallest value? (a) f (b) -4/29 (c) -0.2
c
Let a be -15 - 1 - (397 + -420). What is the biggest value in a, -6, -2/3?
a
Let o = 215.5 + -210.5. What is the fourth smallest value in o, 0, 3, -39/7?
o
Let u = 18923.1 + -18923. What is the second biggest value in 0, 5/3, u, 155?
5/3
Let n = -341 - -341.197. Let u = -0.358 + n. Let x = u - 0.039. What is the second biggest value in x, -2, 2/9?
x
Let s be (-2)/20*(-36)/107. Let c = 1117844/9095 + s. Let x = 123 - c. What is the third smallest value in 0, x, -3?
x
Suppose -5*o + c - 453 = -0*c, -c = 4*o + 366. Let d be (-52)/o*1*-2. Let f = 97/91 + d. What is the second smallest value in 4, -0.5, -2/13, f?
-2/13
Let m(g) = -2*g**2 + 49*g - 21. Let r be m(24). Let f be r/2 - 124/72. Which is the fourth biggest value? (a) f (b) -0.2 (c) 1 (d) -3/2
d
Let k = 1822.29 - 1822.6. Which is the second biggest value? (a) 1/6 (b) 0.08 (c) 0 (d) k
b
Let w = 111562/50211 - -2/5579. Which is the third biggest value? (a) -0.2 (b) w (c) 4/13
a
Let u = -45820 + 45820.8. What is the third biggest value in u, 4, 19?
u
Let f = 435 - 431. Which is the fourth smallest value? (a) 5 (b) 0.033 (c) -2/11 (d) f (e) -0.5
d
Let r be (-20520)/(-288) - 2*4 - (-10)/(-8). Which is the biggest value? (a) r (b) 5 (c) 0.5 (d) -4
a
Let f = -19053 + 19053. What is the fourth smallest value in -1, 3, -0.1, -1/2563, f?
f
Let v = 15.7 + -4.9. Let o = v - 10.4. What is the second smallest value in o, 7, -0.1, 5?
o
Let h = 46 + -30. Let t be 3/12 - (-4)/h. Which is the third smallest value? (a) t (b) 7 (c) -2
b
Let v = 5433 + -5415. Let t = -0.4 - -0.7. Which is the second biggest value? (a) t (b) v (c) -3/2
a
Let l = 2903/2478 + -220/177. Let j be (-2)/(-3) - 33/90. Which is the second biggest value? (a) j (b) l (c) 5
a
Suppose h + 567*f = 563*f + 23, 5*h + 46 = 3*f. Which is the third smallest value? (a) h (b) -10 (c) 0.3 (d) 1.57
c
Let o(f) = 2*f**3 - 8*f**2 + 14*f - 17. Let x be o(3). What is the third smallest value in x, 0, 106, 2/9, -5?
2/9
Let h = -581.5 - -581.9. Which is the smallest value? (a) h (b) 4 (c) -154
c
Let t = 0.04785 + 0.25215. Which is the biggest value? (a) 1 (b) 4 (c) t (d) -3/4 (e) 5
e
Let n = -12.09 - -12.19. What is the third biggest value in -2, n, -0.04?
-2
Let t = -4.859 + 5.359. Which is the smallest value? (a) t (b) -4.1 (c) -3.6
b
Let p = 105.1 - 105. Let i = -4.6579 - 0.0321. Let b = i - 0.01. What is the smallest value in p, -1/4, b?
b
Let d be 18/10 - (-567)/135. Which is the third smallest value? (a) 4/9 (b) d (c) 84
c
Let f = -45 - -49. Suppose -2*x = x + 6, 2*i + 8 = -f*x. Let q be i/3 + (-1)/(-5)*-1. Which is the second smallest value? (a) 0.3 (b) q (c) -5 (d) -0.5
d
Let c = -53 + 53.714. Let o = 0.714 - c. What is the third biggest value in -0.4, 14, 0.4, o?
o
Let y(s) = 1 - 7 + 32*s - s**2 - 42*s. Let t be y(-11). Let r = 15 + t. Which is the smallest value? (a) 1 (b) r (c) -0.1
b
Let u be 687/(27*2/232). Let q = u + -2946. Let s = 244/45 - q. What is the second smallest value in s, 8/5, -5?
s
Let p = -61.71 + 66.71. Let w = 0.3 + -1.3. Let z = 77/3 + -229/9. What is the smallest value in -4, p, z, w?
-4
Suppose -1165 = -66*a - 1429. What is the biggest value in a, 12, -0.2, -0.03, 1?
12
Let f = -127449/5 - -25490. Which is the biggest value? (a) f (b) 3 (c) -2/9 (d) 4 (e) 0.54
d
Let o = 532 - 532.4. Which is the second biggest value? (a) o (b) 5 (c) -0.3 (d) -6 (e) 1/8
e
Let u = 2.943 + 2.057. Which is the smallest value? (a) 4 (b) 2/3 (c) u (d) -0.3 (e) -28
e
Let p be (-10)/(-66) - ((-294)/(-168) - (-85)/(-44)). What is the second smallest value in -217/3, p, -0.07?
-0.07
Suppose -61814 = 39*w - 101*w. Which is the second smallest value? (a) -5 (b) -2 (c) w
b
Let r = 15.494 + 0.506. Let n = -44 - -39. What is the third biggest value in r, n, -0.2?
n
Suppose 43*v - 48*v + 10 = 0. Suppose -p + 9 = -v*k, -2*k = p - 0*p + 11. What is the second smallest value in -5, p, 1.5?
p
Let n be (21/6)/((-126)/(-72)). Let z be (-10)/1500*-55 + n/(-10). What is the fourth biggest value in -5, 5/2, -0.1, z?
-5
Let u = 251 - 247. Let z = -101 + 112. What is the fourth biggest value in z, 1/5, 2, u?
1/5
Let l be (-2*3)/(-2 - (-1 + 0)). Suppose l*i - 306 = 9*i. Let z = i + 1324/13. What is the third biggest value in -20, -3, z?
-20
Let g be ((2 - 5) + 39/21)/(-2). Let c be 9 + -2 + (-45)/6. What is the biggest value in c, -9, -3/2, g?
g
Let g = 12.0723 - 0.0973. Let r = g + 0.025. Let h = -0.1 - 2.9. What is the third biggest value in r, h, 3/8?
h
Let s = -2.231 + 2.16. Let z = s - -4.071. Suppose -2*t + 45 = 3*l, -l - 4*t + t + 8 = 0. What is the fourth smallest value in z, l, -2/11, -2/7?
l
Let r = 7.03 - 7. Let z = 121556/3 + -41003. Let p = z - -483. Which is the second biggest value? (a) -2 (b) p (c) r
b
Suppose 1892 = 96*s + 1372 - 2072. Let r = -0.2 - -0.2. What is the sm
|
{
"pile_set_name": "DM Mathematics"
}
|
(-7). Suppose p*o - 10 = 6. Suppose -j - 3*j = -o. Solve -4*n + n - w = 7, -19 = 5*n - j*w for n.
-3
Suppose g + 5*w = 4*w - 14, -2*g = w + 26. Let y = -8 - g. Solve 8 - 19 = -4*p - 3*o, -2*o = 2*p - y for p.
5
Suppose 2*v = x - 10, 0*v = 5*x - v - 5. Let j(p) = -5 + x*p - p - 2*p. Let z be j(-4). Solve 4*u + 4*k = 20, -2*k - 13 = u - z*k for u.
2
Suppose -1 = r - 3. Solve -9 = -l - 3*n, -r*l - 2*n + 7 = -l for l.
3
Suppose 0 = -2*x + 5 + 15. Let w(a) = 2*a - 5. Let y be w(4). Suppose 0 = -y*o + 6*o - 9. Solve -o*q = j - 5*j + 19, -q + 5*j - x = 0 for q.
-5
Let p = -48 - -51. Solve 4*w - 2 = p*w + 2*r, 2*w - 2*r + 2 = 0 for w.
-4
Suppose 16*z - 70 = 2*z. Solve 3*u - 3 = 0, -3 = d - 3*u - z for d.
5
Suppose 4*g = -q + 28, 3*g - 3 = 4*q - 1. Let i be (-4)/6 + (-92)/g. Let x = 2 - i. Solve w + 4*r + 12 = -w, 4*r + x = w for w.
2
Let o be (-3 + 2 - -1)/(-2). Suppose 0 = -y - 2*w, -y - 4*w + 30 = 4*y. Solve -4*q + 3*n - y = 2*n, o = -5*n - 10 for q.
-3
Let a = -5 - -3. Let o be (-8)/(-10)*(3 - a). Solve 2*y - 3*b = -2, -b + o = y - 5*b for y.
-4
Suppose -10 = -f - 7. Solve -3*n - 5*g - 25 = 0, 5*n - g - f = 2 for n.
0
Let c(p) = 3*p**2 + 3*p. Let i be c(-2). Suppose -g + i*g = 0. Solve 2*f - 4 = -f + 4*y, 5*y - 10 = g for f.
4
Suppose -5*m - 209 + 629 = 0. Let s = m + -50. Let p be (s + 0)*1/2. Solve 3*u - p = g, -5*u - 3*g = -u - 1 for u.
4
Let p(u) = u**3 + 6*u**2 + 8*u. Let n be p(-3). Solve -n*x - x = -3*c, -4*x = 5*c - 32 for x.
3
Suppose -b + 5 = 2*i, 0 = -i - 4*b + 14 + 6. Solve -p - 3*p - 2*j - 2 = 0, i = 5*p - 3*j + 30 for p.
-3
Suppose 5*x + 3*b = -b - 12, b = 2*x - 3. Solve -1 = w - 2*l - 3, w + 3*l + 3 = x for w.
0
Let q be (1 - 7/3)*9. Let f be (-8)/(-3)*(-18)/q. Suppose 4*x + 4 = -4*u, 17 = 3*u - 2*x - 5. Solve 2*b = f*i + 4, u*b - 4*i - i - 11 = 0 for b.
4
Let a(v) = 3*v - 3. Let r be a(3). Suppose -5*s + s - 12 = 0. Let k = s + r. Solve 5*j = 4*p - 2, -k*j = -2*p - 0*j for p.
3
Let x be (-2)/(-16)*14 - 18/(-72). Solve -2*w + k + 1 = 0, -5*w - k = x*k + 25 for w.
-2
Suppose -4*k + 7*k = 12. Suppose 4*c + 2*b = 10, -k*b = -4*c + 5 - 1. Solve -20 = 5*s - 3*v, c*s + 3*s - 5*v + 30 = 0 for s.
-1
Let h be (-3)/(-9)*0 - -3. Suppose 4*i - 1 = h. Solve 0 = -3*l - 2*c - 1, c = l + 6 + i for l.
-3
Let q(v) = -v + 25. Let x be q(23). Solve -w - 4*z + 32 = 3*w, 19 = 3*w + x*z for w.
3
Let u be 2/5 - (-4)/(-10). Suppose -6 = 5*t + 4*x - 34, 3*t - 5*x = 2. Solve t*k - f = -0*f - 11, u = k - 5*f + 17 for k.
-2
Suppose -g = -4*n + 176, 2*n = -2*n + 3*g + 168. Let q be n/18 - (-1)/2. Solve 9 + 3 = q*y, -5*b + y + 21 = 0 for b.
5
Let n be (1 - (-21)/(-15))*-10. Let l(s) = s**2 - 3*s - 1. Let r be l(n). Solve -3*f = -15, r*y + 4*f = -0*y + 26 for y.
2
Let c(m) = m**2 + 3*m + 4. Let t be c(-3). Solve -4*k = -2*k + r + 6, -t*k + 2*r + 4 = 0 for k.
-1
Suppose -z + 18 - 10 = 0. Solve -2*n - 2*n - 4*s = z, 0 = 3*s + 3 for n.
-1
Let w(d) = d**2 + 2*d - 10. Let f be w(-5). Solve -3*o - o - f*n = -12, 15 = 5*o + 4*n for o.
3
Let x be (3 + -2)*(-6)/(-2). Suppose n = -n - 3*h + 3, 0 = 4*n - x*h + 3. Solve -2*k = -2*f + 12, n*k + 10 = -k + 3*f for k.
-4
Suppose -x + 5*u + 18 = 3*x, 2*x = 4*u + 12. Let f be (-42)/(-4)*(-32)/(-24). Let y = -14 + f. Solve y = -2*s - 3*n - 15, -n = -2*s + x*n + 15 for s.
0
Let c = 5 + -5. Let s be c/((-1 + 4)/(-3)). Solve 0 = q - s*k - k + 4, 6 = -4*q - k for q.
-2
Suppose 3*a = 2*a - 3*a. Solve 4*z + 36 = 4*r, -z + 2*r + 7 - 20 = a for z.
-5
Suppose 2*o + 3 = 11. Solve -w = o*f - 25, f = -4*w - 2*f + 35 for w.
5
Suppose -f + 17 = 5*j - 12, 5*f = -5*j + 45. Solve 0 = -5*v - j*y, 4*v - y = 2*y + 35 for v.
5
Let n(j) = -j**3 - 4*j**2 + 2*j + 4. Let m be n(-4). Suppose 7*d - 4*d = 24. Let u = m + d. Solve -g - 23 = u*z, 3*g = z + 4*z + 16 for g.
-3
Let p = 6 + -3. Let r(h) = -h**2 + 2*h + 3. Let b be r(p). Let a be 1/5*(1 - -4). Solve -k + a = 3*w, 2*w = -2*k + 6 - b for k.
4
Let j = 18 - 19. Let l be j - -12 - 3 - 2. Solve 0 = 3*i + 3*c - 5 - 4, -2*i + l = 3*c for i.
3
Let w = 6 + -2. Solve -j = h - 2, -3*j + 4 - 1 = w*h for j.
5
Suppose 5*o + 14 - 49 = 0. Solve 7 + 1 = 2*a, 2*a = -r + o for r.
-1
Suppose 0*l - 10 = -2*l, -4*i + 3*l + 5 = 0. Let z be 29 - 1 - 15/3. Solve -3*t - i*y + 22 = 0, -5*t - z = -2*t - 4*y for t.
-1
Let l = -160 - -195. Solve -5*o + t + 30 = 0, -l = -2*o - 3*o + 2*t for o.
5
Suppose x = 5*x. Let t(j) = 5*j + x - j**2 - 1 + 2. Let z be t(4). Solve 37 = -5*y + 2*d + 2*d, z*y = -d - 22 for y.
-5
Let n be (-1)/(-5) - (-5)/(25/14). Solve 4*u - 4 = -4*m, m - n*m - 22 = -4*u for u.
4
Suppose 0 = -12*b + 14*b - 6. Solve -5*j + 13 = -5*u + b, 0 = 3*u for j.
2
Suppose 27 = -11*u + 71. Solve 0 = 4*r + u, 4*b + 2 - 17 = -r for b.
4
Let j be (-6)/((-2 + 3)*1). Let r = j - -11. Solve 0 = r*p + 2*n, 0 = -6*n + 3*n for p.
0
Let u = 3 + 0. Solve -l - 4 = -2*s - 3*l, -10 = s - u*l for s.
-1
Suppose x + 8 = 3*x. Solve 3*i = x*j - 23, 0*j + 4*i + 24 = 4*j for j.
5
Let p(s) be the second derivative of -s**5/20 + s**4/4 + s**3/3 - 3*s**2/2 - 2*s. Let a be p(3). Let q = 5 - a. Solve 5*x = 20, 19 = q*k - k + 5*x for k.
-1
Let q(l) = l**2 - l - 5. Let z be q(3). Let s be 20/(-6) + (-2)/3. Let g be ((-1)/2)/(1/s). Solve 2*m + 5 = c, 0*c + 3*c = g*m - z for m.
-4
Let u be (2/(-3))/(7/(-147)). Suppose 0 = -18*z + u*z + 16. Solve -2*f = z*k + 6, -2*f + 3*k - 7 = 8*k for f.
-1
Let f be -1*-3*(-444)/9. Let a be f/(-18) + (-4)/18. Suppose 0 = 3*w - 5*h - 25, -5*h + 3 = 5*w - 12. Solve -3*s + w*z = -4, 5*s - 3*z - a = 4 for s.
3
Let q = 8 - 2. Suppose -4*r + 3*s = -6 - q, r - 5*s = 3. Solve 5*z - 2*c = 23, -2*z + 3*c - 8 = -r*z for z.
5
Let s be 10/4*18/(-15). Let r = s + 3. Solve -2*i + 0*m - 4*m - 22 = r, 2*m = -4*i - 20 for i.
-3
Suppose 3 = 3*s - 6. Let q be 6/2 - 2/(-2). Solve -3*o - 3 = 0, 5*y + 2*o + q = s*o for y.
-1
Let d = -10 + 20. Solve -o = -3*a - 20, -4*o = -2*a - 20 - d for a.
-5
Let w be 1*(-4 + 11) - 2. Solve -g - 4*g + 17 = h, -w*h - 3 = 3*g for h.
-3
Let x = -99 - -89. Let p = 22 - 9. Let n = p + x. Solve 0 = -4*l + 20, d + 4*l - 18 = -n for d.
-5
Let r(y) = y**2 + 6*y - 3. Let h be r(-8). Solve -4*a - 2*b = 5 + h, -2*a = -2*b - 6 for a.
-2
Let y = -33 + 36. Let h be (0 - 1)*(-3 - 2). Suppose y - 8 = 5*u + h*g, -2*u + 3*g = -13. Solve -4*a + 16 = -c, c + 22 = u*a - 3*c for a.
3
Let s(t) = -t. Let f be s(0). Suppose f*k + k - 4 = -q, -4*q = k - 7. Solve -k*a + 5*a + g = -3, -g - 11 = 4*a for a.
-4
Let z(k) = k**2 + 6*k + 7. Suppose 30 = -2*w + 5*l, -2*w + 4*l - 8 - 18 = 0. Let c be z(w). Solve 0*q = 2*m - q - 13, m = c*q + 11 for m.
5
Suppose -5*q + 0*q - 10 = 0. Let l = 2 + q. Solve -t - 2*j - 2 = l, 0*t = -2*t + j - 9 for t.
-4
Let z(b) = 4*b - 13. Let o be z(4). Solve 0*n + 2*n = 2*u - 6, -4*u + 9 = -o*n for n.
-3
Let p = 9 + -3. Let t be 10/15 - (-62)/p. Solve -i + 2*u = 7, 0 = 4*i + 4*u + 5 + t for i.
-5
Let x be (-9)/12*8/(-3). Suppose p + 28 = 5*g - p, x*g = -4*p - 8. Solve 15 = -4*q + 3*j, -2*q + g*j = j + 15 for q.
0
Let v(y) = -y**3 + 2*y**2 + 3*y + 4. Let z be v(3). Suppose -l - 15 = -z*l. Let a = l + -2. Solve 4*i + 4*n = -28, -i - a*n - 1 = 12 for i.
-4
Let n(s) = s**2 - 3*s - 3. Let u be n(-3). Let x be (-1)/(-2) + u/10. Solve -5*z - 33 = -2*t, 3*z - t + 11 = -x*t for z.
-5
Let y = 18 - 16. Let p be (12/(-15))/((-2)/5). Suppose -f + 28 = m, m - 2*f - 13 = p*f. Solve 5*b + 5*a + m = 0, 2*a + 3 + 7 = y*b for b.
0
Suppose -5*a + 3*r + 2 + 14 = 0, 0 = 4*a - 3*r - 14. Let u(s) = s**3 - 2*s**2 + 2*s - 1. Let y be u(a). Solve -4*z = -2*n - n + y, -z + 5*n - 22 = 0 for z.
3
Let z be -6*(4 - -2)/(-1). Let y be ((-6)/(-9))/(6/z). Solve u - 2*u = n - 1, 5*u + 2*n = -y for u.
-2
Suppose -4*b + 0*b + 24 = 0. Let y = b - 3. Let f be ((-28)/6)/((-4)/30). Solve 2*h = 2*t, 2*t - f = -y*h - 2*t for h.
5
Let v = 11 - 16. Let w(n) = -n**2 - 7*n + 5. Let u be w(v). Solve -k + 0*k = 4*c + u, -2*k - 2*c = 0 for k.
5
Let r be (17 - 2)/((-6)/4). Suppose 5*z + 5*o + 7 = 6*o, 0 = 4*z + 4*o - 4. Let y be (z - r)/3*5. Solve 0 = -5*k - 5*u - y, 3*u + 1 = 2*u for k.
-2
Suppose 4*u = 11*u - 56. Solve 3 = 2*m + 3*o - u, 17 = -m + 3*o for m.
-2
Suppose -2*i + 5*c = -8 - 3, 0 = 2*i - 2*c - 14. Suppose 0 = 13*p - i*p - 20. Solve -4*g + 2*g + 4*r = 22, -p*g + 3*r - 19 = 0 for g.
-1
Let v = -130 - -156. Solve -4*u + v = 4*f - 2*f, 3*f = 2*u + 7
|
{
"pile_set_name": "DM Mathematics"
}
|
omposite number?
True
Is 76397 a prime number?
False
Is 3083 prime?
True
Is 526213 a composite number?
False
Is 45145 a composite number?
True
Is 17651 composite?
True
Is 115273 a composite number?
True
Is 72857 a prime number?
False
Is 8740541 a prime number?
True
Is 1073921 prime?
True
Is 27949 a prime number?
False
Is 334886 a prime number?
False
Is 50741 prime?
True
Is 2149087 a composite number?
False
Is 5293 composite?
True
Is 61627 a composite number?
False
Is 806893 a prime number?
True
Is 139609 a prime number?
True
Is 2897 a prime number?
True
Is 2890747 a prime number?
False
Is 49297 a composite number?
False
Is 138473 prime?
False
Is 14279 composite?
True
Is 8603 composite?
True
Is 7043 composite?
False
Is 45463 a composite number?
True
Is 6779 a composite number?
False
Is 1390331 a composite number?
False
Is 187 composite?
True
Is 11463 a composite number?
True
Is 65167 prime?
True
Is 995117 prime?
True
Is 2906465 a composite number?
True
Is 166142 prime?
False
Is 23801 a prime number?
True
Is 7419 composite?
True
Is 215665 a prime number?
False
Is 185947 composite?
False
Is 1987 composite?
False
Is 128543 prime?
False
Is 66835 a prime number?
False
Is 14165 a composite number?
True
Is 893567 a prime number?
True
Is 50411 a prime number?
True
Is 317 prime?
True
Is 306213 prime?
False
Is 263881 a composite number?
False
Is 13163 a composite number?
False
Is 4201 prime?
True
Is 165161 a composite number?
False
Is 1579 composite?
False
Is 448267 composite?
True
Is 24987 a prime number?
False
Is 79801 a prime number?
True
Is 274713 a prime number?
False
Is 7671 a composite number?
True
Is 173491 a composite number?
False
Is 378517 composite?
True
Is 56195 a composite number?
True
Is 801291 prime?
False
Is 6259 composite?
True
Is 391613 composite?
False
Is 97663 a composite number?
True
Is 133949 a prime number?
True
Is 173891 a composite number?
False
Is 2051 composite?
True
Is 2309 a prime number?
True
Is 271831 prime?
False
Is 46481 composite?
True
Is 38393 a composite number?
False
Is 77929 a prime number?
True
Is 324557 composite?
False
Is 63439 a prime number?
True
Is 30547 prime?
False
Is 45361 prime?
True
Is 21541 a composite number?
True
Is 19945 composite?
True
Is 80133 a prime number?
False
Is 4111 a composite number?
False
Is 59131 composite?
True
Is 57895 a prime number?
False
Is 209159 composite?
False
Is 80377 a composite number?
True
Is 4507 composite?
False
Is 1171 composite?
False
Is 14349 a prime number?
False
Is 32347 a composite number?
True
Is 1468427 a composite number?
False
Is 609947 a prime number?
False
Is 57919 composite?
True
Is 38069 a composite number?
False
Is 16423 a prime number?
False
Is 10123 a prime number?
False
Is 2551 a composite number?
False
Is 45581 prime?
False
Is 1967 a composite number?
True
Is 2111 a composite number?
False
Is 281389 a composite number?
True
Is 1363 composite?
True
Is 2743 prime?
False
Is 29441 a prime number?
False
Is 406933 composite?
True
Is 63887 composite?
True
Is 631 a prime number?
True
Is 269797 composite?
True
Is 144537 a prime number?
False
Is 1177 prime?
False
Is 3761 prime?
True
Is 14849 a prime number?
False
Is 100579 composite?
True
Is 5893 a prime number?
False
Is 253133 a prime number?
True
Is 1008773 composite?
False
Is 70157 composite?
False
Is 508237 a composite number?
False
Is 517618 a prime number?
False
Is 3433 composite?
False
Is 1501 a prime number?
False
Is 26155 prime?
False
Is 168803 a prime number?
True
Is 7283 composite?
False
Is 613831 prime?
False
Is 3779 a composite number?
False
Is 22901 composite?
False
Is 58021 prime?
False
Is 20873 a composite number?
False
Is 21467 prime?
True
Is 212777 composite?
False
Is 5519 a prime number?
True
Is 491 composite?
False
Is 15701 prime?
False
Is 260849 composite?
False
Is 1048431 prime?
False
Is 161179 composite?
True
Is 1630091 a prime number?
True
Is 134417 composite?
False
Is 4583 a prime number?
True
Is 389393 a prime number?
False
Is 9113 a prime number?
False
Is 267967 prime?
False
Is 4269 composite?
True
Is 125383 a composite number?
False
Is 4109 prime?
False
Is 28807 a prime number?
True
Is 113613 a composite number?
True
Is 27229 a composite number?
True
Is 30539 composite?
False
Is 8603 composite?
True
Is 241771 a composite number?
False
Is 34849 a prime number?
True
Is 38039 a prime number?
True
Is 1893 prime?
False
Is 667007 prime?
False
Is 381607 composite?
False
Is 84833 a composite number?
True
Is 167667 prime?
False
Is 15601 prime?
True
Is 73121 a composite number?
False
Is 7121 a prime number?
True
Is 639317 a composite number?
True
Is 1470659 a composite number?
False
Is 59523 prime?
False
Is 9469 prime?
False
Is 8521 a composite number?
False
Is 3529621 composite?
False
Is 842729 prime?
True
Is 201543 a composite number?
True
Is 33443 prime?
False
Is 6911 prime?
True
Is 125707 composite?
False
Is 12227 a prime number?
True
Is 6814 a prime number?
False
Is 147629 prime?
True
Is 38621 a prime number?
False
Is 31363 a prime number?
False
Is 16759 prime?
True
Is 740393 prime?
False
Is 214163 a composite number?
False
Is 63151 prime?
False
Is 4547 a prime number?
True
Is 1148177 a composite number?
False
Is 478027 prime?
False
Is 9781 a prime number?
True
Is 120157 prime?
True
Is 28829 composite?
True
Is 11633 a composite number?
False
Is 31573 a composite number?
False
Is 5928935 composite?
True
Is 633161 a composite number?
False
Is 76031 a composite number?
False
Is 25741 composite?
False
Is 2937779 prime?
False
Is 288367 prime?
False
Is 28127 composite?
True
Is 338119 prime?
True
Is 4111 a prime number?
True
Is 5779 a composite number?
False
Is 31877 a prime number?
False
Is 24131 prime?
False
Is 26473 prime?
False
Is 326797 a prime number?
False
Is 80633 a prime number?
False
Is 5701 composite?
False
Is 38747 a prime number?
True
Is 4547 a composite number?
False
Is 72389 a prime number?
False
Is 36557 prime?
False
Is 414985 a prime number?
False
Is 142589 a prime number?
True
Is 9521 a prime number?
True
Is 740719 a prime number?
False
Is 12841 prime?
True
Is 202295 a prime number?
False
Is 2609279 a composite number?
True
Is 340957 a prime number?
True
Is 45143 a prime number?
False
Is 7018829 a prime number?
True
Is 450491 composite?
True
Is 30983 a composite number?
False
Is 26651 a composite number?
True
Is 48731 a prime number?
True
Is 124079 a prime number?
False
Is 10817 a prime number?
False
Is 138887 a composite number?
True
Is 333253 a prime number?
True
Is 3377 a composite number?
True
Is 12047 a composite number?
True
Is 24127 prime?
False
Is 753839 a composite number?
False
Is 74387 a prime number?
False
Is 2823377 a prime number?
False
Is 141847 composite?
True
Is 9547 a composite number?
False
Is 15103 a prime number?
False
Is 321397 a prime number?
True
Is 67391 prime?
True
Is 42857 a prime number?
False
Is 1651 composite?
True
Is 12473 a composite number?
False
Is 54121 composite?
False
Is 182953 a composite number?
False
Is 87729 composite?
True
Is 330829 a prime number?
False
Is 891967 prime?
True
Is 896591 prime?
False
Is 74603 a prime number?
False
Is 325891 a prime number?
True
Is 22367 composite?
False
Is 4513 composite?
False
Is 520241 composite?
False
Is 163454 prime?
False
Is 25847 composite?
False
Is 489 composite?
True
Is 508519 a prime number?
False
Is 90353 prime?
True
Is 597743 a composite number?
True
Is 1585 composite?
True
Is 1867859 a composite number?
True
Is 35831 a composite number?
False
Is 931363 prime?
True
Is 166 a prime number?
False
Is 139021 a composite number?
False
Is 156551 a composite number?
True
Is 89619 a prime number?
False
Is 2366053 composite?
False
Is 69313 a prime number?
True
Is 1543197 a prime number?
False
Is 13519 a composite number?
True
Is 7781 a prime number?
False
Is 4751 a prime number?
True
Is 667 a composite number?
True
Is 919 composite?
False
Is 7919 a composite number?
False
Is 11293 prime?
False
Is 514 a composite number?
True
Is 42197 prime?
True
Is 92623 a prime number?
True
Is 30035 a prime number?
False
Is 629933 a prime number?
False
Is 556685 prime?
False
Is 118669 composite?
False
Is 42505 composite?
True
Is 432023 prime?
True
Is 122761 a prime number?
True
Is 464943 prime?
False
Is 11873 a composi
|
{
"pile_set_name": "DM Mathematics"
}
|
s divided by 44?
35
Calculate the remainder when (418/(-2))/((-3775)/125 + 30) is divided by 57.
19
Let q be ((-8)/(-6))/(-4) + 120/9. Suppose -307 = q*g - 827. Suppose -140 = g*k - 47*k. Calculate the remainder when 97 is divided by k.
17
What is the remainder when ((-14651)/(-46))/(10/40) is divided by 5?
4
Suppose -5*g = -5*b + 765, -b + 2*g = -68 - 80. Suppose -2*a + b = 3*p - 212, 4*p - a - 497 = 0. What is the remainder when p is divided by 42?
40
What is the remainder when 728 is divided by (15 + 234/(-126))/(4/14)?
38
Suppose 4*d + 2563 = 3*c, -5*c = -7*d + 3*d - 4285. Let y = 39163 + -39147. What is the remainder when c is divided by y?
13
What is the remainder when -13*1 + (-37558)/(-211) is divided by 17?
12
Calculate the remainder when 23 + 0 + 2 + 1 is divided by ((-16)/(-44) + -2)/((-8)/44).
8
Let y(z) = -2*z + 18. Let x be 0/(-1*((-3)/1 + 6)). Suppose -198 = -75*m + 69*m. What is the remainder when m is divided by y(x)?
15
Let b(n) = 81*n + 1266. What is the remainder when 4410 is divided by b(-15)?
24
Suppose 0 = -95*v - 571 + 15106. What is the remainder when v is divided by 146?
7
Suppose -6*t + 92 = -4*t. What is the remainder when (-48)/80*-455*2/6 is divided by t?
45
Let z be 50/(-18) + (-6)/27. Let u be (-1 - 15/(-9))/(z/(-9)). Suppose 0 = -q - 0*q - u, 4*k = -2*q + 112. Calculate the remainder when k is divided by 9.
2
Let a = 87 + 90. Let m = 3017 + -2981. Calculate the remainder when a is divided by m.
33
Suppose -2*c - 20*i + 134 = -22*i, 2*c + i - 146 = 0. What is the remainder when 267 is divided by c?
54
Suppose 3*p = -s + 146, 0 = -4*s - 5 + 1. Let g = -52 + 55. Let u(j) = 20*j - 35. What is the remainder when p is divided by u(g)?
24
Let r be ((-129)/2)/(6 + (-615)/100). Suppose -1525 + r = -5*i. Calculate the remainder when i is divided by 20.
19
Suppose 3*q - 27*q - q + 850 = 0. Suppose 2*x + g - 111 = 7, -2*x + 4*g = -98. What is the remainder when x is divided by q?
23
Let u(q) = -4703*q**3 - 8*q**2 + 2*q - 1. What is the remainder when u(-1) is divided by 120?
12
Let c(s) = 30*s - 312. Calculate the remainder when c(18) is divided by 37.
6
Calculate the remainder when 697 is divided by ((-15)/8)/5 + 14 + (-2639)/(-104).
34
Suppose -23034 = -123*u + 7593. Calculate the remainder when 12945 is divided by u.
246
Calculate the remainder when 252 is divided by 25 + 5 + -20 + 34.
32
Let p(f) = -21*f - 17. Calculate the remainder when p(-2) is divided by 5/((-35)/(-154)) + -8.
11
Let b(m) = -2*m**2 - 6*m + 7. Let i be b(4). Let z = i - -80. Let o(j) = j + 8. What is the remainder when z is divided by o(8)?
15
Let m = 239 + -234. Suppose -m*g + 23 = p, -5*g - 9 = -13*p + 10*p. What is the remainder when 614 is divided by p?
6
Let u be (2 - (-6 - 6/(-2))) + -1. Suppose n - w = w + 22, 4*n - 84 = u*w. Let c = 3 + 3. What is the remainder when n is divided by c?
2
Suppose -54*n - 125 + 1791 = 65*n. Calculate the remainder when 735 is divided by n.
7
Let h(i) = -13*i**2 + 132*i + 5. What is the remainder when 538 is divided by h(10)?
13
Let y be (-3 + 0)*(520/(-24))/13. What is the remainder when 49 is divided by 3*((4 - 6) + y)?
4
Suppose -454 + 425 = -a. Calculate the remainder when 9857 is divided by a.
26
Suppose -184 = 26*c - 3226. Calculate the remainder when c is divided by 99.
18
Suppose 561*r - 150 = 558*r. Let b = -34 + r. Calculate the remainder when b is divided by 14.
2
Suppose 154*q - 2952 = -153*q + 298*q. What is the remainder when q is divided by 43?
27
Let m(o) = 7*o**3 + 2*o**2 - 35*o + 8. Let t(z) = 15*z**3 + 5*z**2 - 70*z + 17. Let v(y) = -13*m(y) + 6*t(y). What is the remainder when 92 is divided by v(8)?
4
Let j(f) = 5*f + 136. Let h be j(-26). Calculate the remainder when 148 is divided by (-88)/(-6) - ((-95)/15 + h).
13
Suppose -d = -4*d - 0*d. Suppose -10*u + 260 = -d*u. Let a = 12 + 91. What is the remainder when a is divided by u?
25
Let o(j) = -18*j - 19. Let d = -92 + 92. Suppose 0 = 2*u + 2*b, d = 5*u + 2*b + 21 - 6. Calculate the remainder when o(u) is divided by 9.
8
Suppose -5*g = 10, -3*l - g = -3 - 34. Let y be (4 - ((-4 - -2) + 3)) + -33. What is the remainder when (-2)/12 + (-155)/y + 28 is divided by l?
7
Let z = -54 - -108. What is the remainder when ((-143)/4)/((-52)/624) is divided by z?
51
Suppose -1986 = -14*z - 894. What is the remainder when 2179 is divided by z?
73
Let m = -2763 - -2776. What is the remainder when 1025 is divided by m?
11
Suppose -2*h + 4*h = -5*v + 3477, 0 = -3*v + 2*h + 2083. Suppose 5733 = 8*t + 55*t. Calculate the remainder when t is divided by v/30 - 2/12.
22
Suppose -124*f = -231 + 19 - 160. Calculate the remainder when 261 is divided by f.
0
Let d = -22 + 22. Let p(g) = g**3 + g**2 + 2*g + 31. Let t(s) = -12*s + 8. What is the remainder when t(-7) is divided by p(d)?
30
Suppose 19676 = x + 18*x + 296. What is the remainder when x is divided by 5?
0
Let p(i) = 2*i**3 + 10*i**2 + 6*i - 11. Let n be p(-4). What is the remainder when 159 is divided by (-90)/n*(-8)/12*-1?
19
Let y = -8066 + 8472. Calculate the remainder when 2030 is divided by y.
0
Let v = 719 - 711. Let n(q) = -11*q + 116. Calculate the remainder when 71 is divided by n(v).
15
Let k = 1696 + -1434. What is the remainder when k is divided by 37?
3
Suppose -d + 3 = 0, -37*h = -38*h - 2*d + 108. Calculate the remainder when 387 is divided by h.
81
Let w = 89 - -69. Suppose -3*z + 70 = -2*s, z + 3*s = -1 + 6. Calculate the remainder when w is divided by z.
18
Let x(y) = 3*y**3 + 151*y**2 + 47*y + 59. What is the remainder when 1459 is divided by x(-50)?
205
Let u(l) = -l**3 - 16*l**2 + 17*l + 5. Let k be u(-17). Let m be (6 - k)/(1 - (-4)/(-2)). Let y = m - -14. What is the remainder when 49 is divided by y?
10
Calculate the remainder when 3956 is divided by 62 - (5 + 2/((-78)/(-18) + -5)).
56
Let c = 3055 + -3027. Calculate the remainder when 810 is divided by c.
26
Suppose -4*y - 4132 = -5*l, -y = 4*l - 1866 - 1427. What is the remainder when l is divided by 75?
74
Suppose 3*f + 335 = 8*f. Let y = 107 - f. Suppose -5*q + y + 0 = 0. Calculate the remainder when 46 is divided by q.
6
Suppose -4*l + 5*d = -91, 4*l + 4*d = 19 + 45. Suppose -8*c = -5 - l. Suppose 8 = c*t - 2*w, -2*t + 4*w - 5 = 3. What is the remainder when 81 is divided by t?
3
Let d = 884 - 262. Suppose 0 = d*w - 618*w - 472. What is the remainder when w is divided by 15?
13
Suppose 93 + 24 = 3*u - 3*g, 0 = -3*u + g + 109. Let a = -7788 - -8100. Calculate the remainder when a is divided by u.
32
Let c = -11210 - -11265. Suppose -12 - 20 = -2*z. What is the remainder when c is divided by z?
7
Suppose 16*y - 152*y - 78*y + 138030 = 0. Calculate the remainder when y is divided by 634.
11
Let g(p) = 8*p**2 + 292*p + 62. What is the remainder when g(29) is divided by 70?
68
Suppose 2*s - n + 504 = 0, -5*n - 330 - 162 = 2*s. Let w = -211 - s. What is the remainder when w is divided by 14?
12
Let k = 426 + -26. Suppose 0 = -286*r + 294*r - k. Calculate the remainder when r is divided by 6.
2
Let x be (-500)/(-25)*((-152)/(-10) - -2). Let c = -311 + x. Suppose 4*l = -2*t + 374, -l + 96 = 2*t + 10. What is the remainder when l is divided by c?
30
Suppose -5*n - 283 = 2*i - 970, 135 = n - 2*i. Let g = 12063 + -12004. What is the remainder when n is divided by g?
19
Let n(i) = i**2 - 7*i + 2. Let b be n(7). Let p(s) = s**3 - s**2 - 2. Let y be p(b). Calculate the remainder when ((y/4)/(4/(-632)))/(-1) is divided by 20.
19
Let i = -13 + 46. Suppose -9*z + 15*z - 930 = 0. What is the remainder when z is divided by i?
23
Let b be -3*8/16*-2. What is the remainder when 22 is divided by (14/(-35))/(b/(-30))?
2
Suppose -5*h + 99 = -41. Suppose -32*x + 86*x - 14541 = -77*x. Calculate the remainder when x is divided by h.
27
Let n(m) = m + 24. Let y = -674 + 690. Calculate the remainder when n(7) is divided by y.
15
Let n(o) = 7*o - 5. Let a = -192 + 421. What is the remainder when a is divided by n(4)?
22
Let v(w) = 5*w**2 - 197*w - 2412. Calculate the remainder when v(-13) is divided by 43.
5
Let i be (-16)/32*(-1055 - -1). Let w = 792 - i. Suppose 3*b - w = 38. Calculate the remainder when b is divided by 26.
23
Suppose 5*o = 2*b - 4960 + 56, 0 = 3*b + 5*o - 7406. What is the remainder when b is divided by 154?
152
Let j = -3327 - -5836
|
{
"pile_set_name": "DM Mathematics"
}
|
Let m(o) = -84*o**2. Let k(b) = -68*b**2 - 56. Let a(u) = -12*u**2 - 10. Let w(i) = -28*a(i) + 5*k(i). What is m(w(p))?
-1344*p**4
Let k(v) = 5*v**2. Let m = 106 + -100. Suppose 7 + 3 = 5*q. Let n(r) = -m*r + r + q*r + r. Give n(k(g)).
-10*g**2
Suppose 0 = -3*n + 6*n. Suppose 5*g = n, -q + 4*g + 41 = -5. Let l(j) = -46*j + q*j - 2*j**2. Let c(x) = -3*x. Give c(l(y)).
6*y**2
Let v(r) = 0*r**2 + 2*r**2 + r**2 - r**2 - r**2. Let p(w) = -68*w - 2. What is v(p(c))?
4624*c**2 + 272*c + 4
Let q(v) be the third derivative of v**5/30 + v**3/3 + 12*v**2. Let r(d) be the first derivative of q(d). Let f(g) = g**2. What is f(r(x))?
16*x**2
Let j(g) = g. Let m(t) = t**2 + 2*t - 6. Let f be m(-4). Suppose -4*b = -5*n - 24, -2*b + 6*n + 18 = f*n. Let r(v) = -4 - 2*v + b + 3. What is r(j(c))?
-2*c
Let t(w) = -1127*w. Let s(o) = 2*o - 12. Let i(l) = l - 3. Let q(n) = -4*i(n) + s(n). Give q(t(d)).
2254*d
Let s(w) = -9*w**2. Let x(i) = i**2 + 7*i. Let v(u) = -u**2 - 6*u. Let l = 18 + -21. Let y be 9*(l + 22/6). Let m(n) = y*x(n) + 7*v(n). Give m(s(z)).
-81*z**4
Let f(l) = 4*l**2. Let y(a) = 394*a**2. What is y(f(w))?
6304*w**4
Let n(u) = 6*u**2. Let g(f) = 2*f**2. Let v = 52 - 63. Let m(x) = v*g(x) + 4*n(x). Let l(t) = -47*t. What is m(l(k))?
4418*k**2
Let h(s) = 531*s + 531*s + 3 - 1063*s - 3. Let c(v) = -346*v. Give c(h(r)).
346*r
Let j(l) = 4*l. Let k(p) = -7*p**2 + 1063*p. Calculate j(k(s)).
-28*s**2 + 4252*s
Let w = -41 + 35. Let l(j) = j**2 + j - 1. Let v(i) = -5*i**2 - 3*i + 3. Let f(s) = w*l(s) - 2*v(s). Let n(m) = m**2. Give f(n(k)).
4*k**4
Let q(y) = -y. Let x(v) = 260344*v**2. What is x(q(i))?
260344*i**2
Let l(b) = 2*b. Let y(i) = -25*i. Let a be 3/2*17*-2. Let m(z) be the third derivative of -z**4/8 + 15*z**2 + 3. Let g(v) = a*m(v) + 6*y(v). Give l(g(o)).
6*o
Let t(u) = 3*u**2. Let s(c) = -2*c**2 - 7*c. Let v(w) = -2*w**2 - 6*w. Let k = 55 - 61. Let n(d) = k*s(d) + 7*v(d). Give t(n(o)).
12*o**4
Suppose 0 = i - x, 4*i - 3*x = -2*x + 6. Let b = 7 + -5. Let w(c) = 18*c**2 - i*c**b + 4*c**2. Let a(s) = 2*s**2. Calculate w(a(z)).
80*z**4
Suppose -3*t - 2*t = h - 42, -4*t + 51 = -5*h. Let i(o) = -17*o + 9. Let n(r) = 4*r - 2. Let a(m) = t*n(m) + 2*i(m). Let k(v) = 43*v**2. What is a(k(d))?
86*d**2
Let p(t) = -t**2 - 4. Let r(j) = j**2 + 3. Let o(l) = 3*p(l) + 4*r(l). Let u(v) = -3*v - 3. Calculate u(o(z)).
-3*z**2 - 3
Let g(z) = 2073*z**2 + 2 + 0 - 1620*z**2. Let n(t) = -2*t. Determine g(n(x)).
1812*x**2 + 2
Let k(i) = 3*i. Let b(p) = -6617*p. Calculate b(k(w)).
-19851*w
Let k(l) = -3*l**2. Let s = -26 - -23. Let f(w) = -w**2 + 3. Let u(c) = 4*c**2 - 16. Let q(h) = s*u(h) - 16*f(h). Determine q(k(y)).
36*y**4
Let v(l) = 5*l. Let n be (-16838)/(-8) + 17/68. Let q(f) = 3*f + n - 2105. Give v(q(d)).
15*d
Let s(u) be the third derivative of -u**4/24 + u**2 + 100. Let v(h) be the third derivative of 1/20*h**5 + 0 - 2*h**2 + 0*h + 0*h**3 + 0*h**4. What is v(s(z))?
3*z**2
Let p(t) = 6*t. Let u(q) = 11*q. Let b(m) = -9*p(m) + 4*u(m). Let j be -4 + 36/10 + (-37884)/(-10). Let w(k) = k**2 + j - 3788. What is b(w(v))?
-10*v**2
Let i(s) = 43507*s. Let x(p) = -2*p. What is i(x(g))?
-87014*g
Let p(a) = -2*a**2. Let x(n) be the third derivative of n**6/72 + 13*n**3/6 + 16*n**2. Let q(v) be the first derivative of x(v). Determine p(q(y)).
-50*y**4
Let x(r) = -112911*r**2. Let k(o) = 14*o**2. Give k(x(n)).
178484514894*n**4
Let g(u) = -2*u**2. Let t(q) be the first derivative of 3*q**2/2 - 134. What is t(g(w))?
-6*w**2
Let z(w) be the first derivative of w**2 + 1. Let i(r) = -24 - 12*r + 6*r - 41*r + 24. Give i(z(v)).
-94*v
Let w(q) = -7*q**2. Let j(x) = 23*x**2 + 271. Determine j(w(r)).
1127*r**4 + 271
Suppose -5*m - 4*i + 202 + 2742 = 0, 3*m - 1784 = 2*i. Let s(x) = 592 - x - m. Let v(k) be the first derivative of 7*k**2/2 - 4. What is s(v(t))?
-7*t
Let k(b) = b**2 - 3*b**2 + 8*b**2. Let z(t) = -28*t + 85*t - 30*t - 32*t. What is k(z(a))?
150*a**2
Let a(o) = -53*o - 2 + 2 + 45*o + 9*o. Let p(z) = -4 - 21*z**2 + 4. Calculate a(p(d)).
-21*d**2
Let a(z) = -242*z + 943. Let h(p) = -7*p. Determine a(h(s)).
1694*s + 943
Suppose 0 = -4*q + q - 3*r - 9, -r = 5. Let n(x) = -3*x + 0*x + 4*x + q*x. Let k(j) be the third derivative of j**4/6 - 54*j**2. Give n(k(m)).
12*m
Let d(h) = h**2 - h - 6992. Let s(f) = 4*f. What is s(d(c))?
4*c**2 - 4*c - 27968
Let a(b) = -3*b**2. Let u(n) = 15*n**2 + 11*n + 26. Let d(r) = -7*r**2 - 5*r - 12. Let c(g) = 13*d(g) + 6*u(g). Give a(c(p)).
-3*p**4 + 6*p**3 - 3*p**2
Let x(j) = -3. Let l(r) = r + 7. Let v(p) = 2*l(p) + 5*x(p). Let m(w) = 7*w - 3. Let y(b) = 2*m(b) - 6*v(b). Let q(z) = -11*z**2. What is q(y(f))?
-44*f**2
Let n(w) = -48*w**2 + 5. Let z(p) = 10*p - 2. Determine z(n(g)).
-480*g**2 + 48
Let y(x) = -x - 689. Let l(c) = -8 + 8 + 51*c**2 - 53*c**2. Determine l(y(z)).
-2*z**2 - 2756*z - 949442
Let f(k) = -2*k**2 - 2*k**2 - k**2. Suppose 1 = -3*q + z + 21, z + 14 = 2*q. Let h(y) = y**2 + 18*y - q*y - 12*y. Give h(f(x)).
25*x**4
Let z(h) = -17*h**2. Let q(g) be the third derivative of g**4/24 - 18*g**2 + 3*g. Determine q(z(o)).
-17*o**2
Let h(t) = -4152*t - 1. Let w(r) = 4*r. Calculate h(w(s)).
-16608*s - 1
Let i(l) = 289*l + 4. Let t(c) = -124271*c - 1722. Let z(x) = 861*i(x) + 2*t(x). Let a(n) = -n. What is z(a(u))?
-287*u
Let v = 9 + -9. Let w(p) = v*p + 3*p - 8*p. Let n(t) be the second derivative of t**3/3 + 3*t. Calculate n(w(j)).
-10*j
Let v(o) = 7*o**2 + 2. Let l(g) = -3058*g**2. Calculate v(l(r)).
65459548*r**4 + 2
Let s(v) = 13*v**2. Let w(t) = -9526*t. Give w(s(z)).
-123838*z**2
Let d(s) = s. Suppose 3*n = 6*n. Let g(r) be the first derivative of 0*r - 6 - 2/3*r**3 + n*r**2. What is d(g(b))?
-2*b**2
Let u(g) be the second derivative of 0 + 0*g**2 + 0*g**3 + 5/12*g**4 - g. Let o(y) = 8 + 2*y**2 - 8. Determine o(u(t)).
50*t**4
Let y(h) = -4*h**2. Let z(i) = -7582*i. What is z(y(j))?
30328*j**2
Let d(x) = -9*x**2. Let p(h) = -3 + 7 - 4 - 5*h**2. Determine d(p(b)).
-225*b**4
Let x(f) = f. Let s(h) = -2*h + 343*h**2 - 326 + 2*h + 326. Calculate x(s(t)).
343*t**2
Let p(f) = 10*f**2 - 16. Let t(u) = -3*u**2 + 5. Let b(l) = 5*p(l) + 16*t(l). Let y be 4*1/((-4)/(-7)). Let c(h) = h - y*h - 4*h. Calculate b(c(a)).
200*a**2
Let t(q) be the third derivative of 1/60*q**5 + 0*q**4 + 0*q + 0*q**3 - 11*q**2 + 0. Let j(h) = -9*h**2. Determine j(t(s)).
-9*s**4
Let s(w) = 0*w**2 + 2*w**2 + 17*w**2. Let h(q) = -4*q**2 + 6*q - 15. Let v(f) = -3*f**2 + 4*f - 10. Let g(a) = -2*h(a) + 3*v(a). Calculate s(g(t)).
19*t**4
Let r(p) = -2*p**2. Let t(u) be the third derivative of -u**5/60 + 13*u**4/6 - 12*u**2. What is r(t(z))?
-2*z**4 + 208*z**3 - 5408*z**2
Let z(o) = 6*o**2. Suppose -7*b + 12*b - 10 = 0. Suppose 0*k - 8 = -4*k. Let w(m) = 66*m + b*m**k - 33*m - 33*m. Determine w(z(u)).
72*u**4
Suppose 117*y = 141*y. Let x(k) be the second derivative of 1/6*k**3 + 0*k**2 + y - k. Let u(m) = -2*m. What is u(x(r))?
-2*r
Let n(m) be the third derivative of 0*m**4 + 0*m**3 + 8*m**2 + 0 + 11/60*m**5 + 0*m. Let v(f) = -2*f**2. Calculate v(n(q)).
-242*q**4
Let r(m) be the second derivative of -3*m**4/4 - 2*m + 1. Let g(h) = 4*h. Give r(g(t)).
-144*t**2
Let y(w) = -w - 5. Let c be y(-7). Let p(s) = -82 + 82 + c*s. Let n(z) = -3*z. Give p(n(g)).
-6*g
Let u(y) = -541996*y**2. Let l(r) = -2*r**2. What is u(l(o))?
-2167984*o**4
Let q(m) = 2*m. Let t(d) be the third derivative of -25*d**2 + 0*d + 0*d**3 + 0 + 17/12*d**4. Determine q(t(i)).
68*i
Let c(x) = -115*x. Let j(d) be the third derivative of -d**4/8 - 2*d**2 - 25*d. Determine j(c(h)).
345*h
Let s(t) = 17*t - 65. Let l(j) = -3*j**2. What is l(s(k))?
-867*k**2 + 6630*k - 12675
Let q(h) = -12*h. Let l(x) = 4*x - 4*x - x + 0*x. Let r(f) = -16*l(f) + q(f). Let k(b) = 14*b**2. Determine k(r(o)).
224*o**2
Let w(c) = -3*c**2. Suppose 0 = 23*s - 27*s. Let i(a) be the third derivative of 0*a**3 + 0*a + s + 1/24*a**4 - 3*a**2. Calculate w(i(m)).
-3*m**2
Let r(g) = -7*g**2 - 5*g. Let y(q) = 4*q**2 + 3*q. Let x(l) = -6*r(l) - 10*y(l). Let i(c) be the third derivative of c**4/8 + 12*c**2. Calculate i(x(v)).
6*v**2
Let l(j) = 1489673*j. Let y(a) = -2*a**2. Give l(y(w)).
-2979346*w**2
Let m(g) = 3*g - 2. Let s be m(-4). Let q be 0*(s/(-4) - 3). Let l(z) = z**2 + q*z**2 + 0*z**2. Let c(d) = 11*d. What is c(l(v))?
11*v**2
Let n(d
|
{
"pile_set_name": "DM Mathematics"
}
|
0 in ascending order.
0, 3, 7
Put 14, -4, 1, -1, 52 in descending order.
52, 14, 1, -1, -4
Put -4, 15, 1 in descending order.
15, 1, -4
Sort 1, -736, -1, 5, -2 in increasing order.
-736, -2, -1, 1, 5
Sort -10, 0, -5, 2 in increasing order.
-10, -5, 0, 2
Put 1/5, 2/13, 7, -2 in increasing order.
-2, 2/13, 1/5, 7
Sort 1/2, 3/2, -4, -0.3 in descending order.
3/2, 1/2, -0.3, -4
Sort -8, 3, -390 in descending order.
3, -8, -390
Sort 3, 5, -1, 46 in decreasing order.
46, 5, 3, -1
Sort -5, -0.12, -2/7 in descending order.
-0.12, -2/7, -5
Put 3, 149, 0, -3 in ascending order.
-3, 0, 3, 149
Put -5/6, -8, 4/5, -0.01 in descending order.
4/5, -0.01, -5/6, -8
Put 26, -4, -2 in descending order.
26, -2, -4
Put -38, 0, 5, -2, -1 in decreasing order.
5, 0, -1, -2, -38
Put -5, -3830, -3 in descending order.
-3, -5, -3830
Put 0, -7, 4, -13 in decreasing order.
4, 0, -7, -13
Sort 1, 0.1, 0.019.
0.019, 0.1, 1
Sort -4/3, 5, -1/4, -4, -34.
-34, -4, -4/3, -1/4, 5
Sort 1/4, 2/17, 0.3 in decreasing order.
0.3, 1/4, 2/17
Sort 21, 0, -5, -3/5 in descending order.
21, 0, -3/5, -5
Sort -0.01, 0.2, 2, 1, 333 in descending order.
333, 2, 1, 0.2, -0.01
Sort 3, -157, -1, 1 in decreasing order.
3, 1, -1, -157
Put 0.4, -2, 1/7, -9 in ascending order.
-9, -2, 1/7, 0.4
Sort -10, -4, 3, -3, -14 in increasing order.
-14, -10, -4, -3, 3
Sort -3, 1, -1088 in ascending order.
-1088, -3, 1
Put 7, -3, 2/9 in ascending order.
-3, 2/9, 7
Sort -0.3, -0.1, 1, 207.
-0.3, -0.1, 1, 207
Sort 1, 5, -100, -5 in increasing order.
-100, -5, 1, 5
Sort -82, -2, 0 in descending order.
0, -2, -82
Sort 0.09, -2, 1/4, -2/11 in increasing order.
-2, -2/11, 0.09, 1/4
Put -168, -1, 4 in increasing order.
-168, -1, 4
Put 0.09, -3, 0, 23 in increasing order.
-3, 0, 0.09, 23
Sort 2, -2, 37 in decreasing order.
37, 2, -2
Put -4, 0, -15, 47, -1 in decreasing order.
47, 0, -1, -4, -15
Sort -1, 3, -4, 4, 45 in increasing order.
-4, -1, 3, 4, 45
Put 5, -51, 1 in decreasing order.
5, 1, -51
Put 5, -0.5, 0.2, 13 in ascending order.
-0.5, 0.2, 5, 13
Sort 108, -4, -5.
-5, -4, 108
Sort -7, 4/3, 31, 4, 1.
-7, 1, 4/3, 4, 31
Sort 21, 1, 6.
1, 6, 21
Put 84, -1, 0, 0.2 in decreasing order.
84, 0.2, 0, -1
Sort -5, 21, 0, -87 in decreasing order.
21, 0, -5, -87
Sort -1/4, -1/8, -2/3.
-2/3, -1/4, -1/8
Sort 21, -4, 9, 3 in ascending order.
-4, 3, 9, 21
Sort 4.4, -0.5, -5 in descending order.
4.4, -0.5, -5
Sort 92, -1, 2 in decreasing order.
92, 2, -1
Put -1/2, 0.4, -30/11, 0.5, 1 in decreasing order.
1, 0.5, 0.4, -1/2, -30/11
Put -1, 4, -5, -4, 3 in ascending order.
-5, -4, -1, 3, 4
Sort 1, -1, 0, 10.
-1, 0, 1, 10
Put -0.05, 0.1, 1/2, 0.021 in increasing order.
-0.05, 0.021, 0.1, 1/2
Put -0.5, -2, -5/3, 0.2 in ascending order.
-2, -5/3, -0.5, 0.2
Put 12, 2, 6 in increasing order.
2, 6, 12
Sort -2, -6, 1, 2, 9 in decreasing order.
9, 2, 1, -2, -6
Sort 2, -21, -5, 5 in descending order.
5, 2, -5, -21
Sort 5, 8, -10 in descending order.
8, 5, -10
Put 0, 11, -1 in ascending order.
-1, 0, 11
Put 13, -1, -4, 5 in decreasing order.
13, 5, -1, -4
Put 7, 3, 5, 13, -3 in decreasing order.
13, 7, 5, 3, -3
Put 2, 2008, -5 in ascending order.
-5, 2, 2008
Sort -64, 3, 5.
-64, 3, 5
Put -5, -381, -1/10, 0.2 in decreasing order.
0.2, -1/10, -5, -381
Sort 2, -3, 5 in decreasing order.
5, 2, -3
Sort -1, -2, -4, -67.
-67, -4, -2, -1
Put 5, 14, -16 in descending order.
14, 5, -16
Sort 4, 2, -19 in descending order.
4, 2, -19
Put 0.3, -19/5, -0.5, -2 in descending order.
0.3, -0.5, -2, -19/5
Sort -1, -2, 716 in decreasing order.
716, -1, -2
Put -23, -4, -3, 3, 1 in increasing order.
-23, -4, -3, 1, 3
Put -2/89, 0.4, 1/3 in decreasing order.
0.4, 1/3, -2/89
Put 1, 15, -2 in ascending order.
-2, 1, 15
Put -3, 5, 3, 884, -4 in increasing order.
-4, -3, 3, 5, 884
Sort -2/11, 0.0289, 5.
-2/11, 0.0289, 5
Put 1/3, -1/3, -2, 187 in increasing order.
-2, -1/3, 1/3, 187
Sort -2, -3, -11, -5 in descending order.
-2, -3, -5, -11
Sort 0, 491, 5.
0, 5, 491
Sort 3, -1/75, 1, 0.12 in decreasing order.
3, 1, 0.12, -1/75
Put 0, -5, 27 in descending order.
27, 0, -5
Put 7, -1, -2 in descending order.
7, -1, -2
Sort -1, -5, -3, -2, 2.
-5, -3, -2, -1, 2
Put 2, 11, -4/5 in increasing order.
-4/5, 2, 11
Sort 2/3, 1/12, 12 in ascending order.
1/12, 2/3, 12
Sort 2, -7, 23.
-7, 2, 23
Sort 2/3, -0.01, 3/2, -2/11, -3.
-3, -2/11, -0.01, 2/3, 3/2
Sort 4, -0.1, 28/9, -0.05.
-0.1, -0.05, 28/9, 4
Put 3, 2, -4, -7, -1 in decreasing order.
3, 2, -1, -4, -7
Sort 12, -3, 6 in ascending order.
-3, 6, 12
Sort 1, 4, 0.4, 2/19, -2/7 in decreasing order.
4, 1, 0.4, 2/19, -2/7
Put -5, -2/7, 0.3, 1/93 in decreasing order.
0.3, 1/93, -2/7, -5
Put -5, -3, 16, 1, -1 in decreasing order.
16, 1, -1, -3, -5
Sort 891, 1, -3, -2 in descending order.
891, 1, -2, -3
Put -8, 2, 3 in descending order.
3, 2, -8
Put 33, -1, 1/3, -5 in ascending order.
-5, -1, 1/3, 33
Put 2, -20, -1, 5, -3 in descending order.
5, 2, -1, -3, -20
Sort 0.3, -2, 0.27, -46 in descending order.
0.3, 0.27, -2, -46
Put 2, -2, 334 in ascending order.
-2, 2, 334
Sort -1/6, -1/8, -0.01, 4, 1.2 in increasing order.
-1/6, -1/8, -0.01, 1.2, 4
Put -2/13, -0.1, 3, 18, 4 in decreasing order.
18, 4, 3, -0.1, -2/13
Sort 1, 3, 2, -214.
-214, 1, 2, 3
Sort 3, 4, 190, 0 in decreasing order.
190, 4, 3, 0
Put -1, -4, -3, -6 in ascending order.
-6, -4, -3, -1
Sort 9/5, -0.4, 5/12, 1.
-0.4, 5/12, 1, 9/5
Sort 11, -40, -3 in decreasing order.
11, -3, -40
Sort 5, 2, -7, 4 in decreasing order.
5, 4, 2, -7
Sort 2/15, -7, 4/3, 0.4 in ascending order.
-7, 2/15, 0.4, 4/3
Put -14, -1, 3 in ascending order.
-14, -1, 3
Put 5, 13, -1, 18 in increasing order.
-1, 5, 13, 18
Put 1, 4, -0.2, 0.12 in ascending order.
-0.2, 0.12, 1, 4
Put 1/4, 0.03, 0.3, -4 in increasing order.
-4, 0.03, 1/4, 0.3
Sort -1, -7, 5, 158 in decreasing order.
158, 5, -1, -7
Put -138, 1, 3 in increasing order.
-138, 1, 3
Sort 5, 2, -4, -7 in decreasing order.
5, 2, -4, -7
Put 5, -3, -11, -5, -52 in descending order.
5, -3, -5, -11, -52
Sort 8/15, 4, 2/3 in descending order.
4, 2/3, 8/15
Sort 5, -1/4, 3, -3/7 in increasing order.
-3/7, -1/4, 3, 5
Sort -2, 6, -3, 2 in ascending order.
-3, -2, 2, 6
Put 1/3, -2, 0.5, 5, 74 in decreasing order.
74, 5, 0.5, 1/3, -2
Sort -4, 5, 11 in increasing order.
-4, 5, 11
Put 33, -85, 3 in ascending order.
-85, 3, 33
Put 6, -1, 21, -5 in decreasing order.
21, 6, -1, -5
Sort 0, -14, 4, 0.5.
-14, 0, 0.5, 4
Sort -4, -1/269, 3/5.
-4, -1/269, 3/5
Sort 6, 0, -2, 3.
-2, 0, 3, 6
Sort -278, 1, -3, -4 in decreasing order.
1, -3, -4, -278
Sort 5, 26, 4.
4, 5, 26
Put -0.18, -9/5, -2, -3/2, 3 in decreasing order.
3, -0.18, -3/2, -9/5, -2
Put -2, -4, 2, 3 in ascending order.
-4, -2, 2, 3
Sort -6, 315, -2 in descending order.
315, -2, -6
Sort -2, 2/5, 0.1, -10, -5 in descending order.
2/5, 0.1, -2, -5, -10
Sort 11/5, -6, 0.2 in descending order.
11/5, 0.2, -6
Sort 2, -2, 3, 6 in ascending order.
-2, 2, 3, 6
Put 4/5, -9, 1 in ascending order.
-9, 4/5, 1
Sort -4, 0, -4/21 in descending order.
0, -4/21, -4
Put -2, -126, -4, -6 in descending order.
-2, -4, -6, -126
Put -3/2, 3, -10/3 in decreasing order.
3, -3/2, -10/3
Sort 5, 1, -267 in increasing order.
-267, 1, 5
Sort 4, -1, 1, 5, -7 in increasing order.
-7, -1, 1, 4, 5
Sort 1, -3, -4, 2, 0.
-4, -3, 0, 1, 2
Put 0, 2, -3, 483, 1 in decreasing order.
483, 2, 1, 0, -3
Sort 1/3, 1/2, -1, 149 in ascending order.
-1, 1/3, 1/2, 149
Sort -5, 4, 19, -11.
-11, -5, 4, 19
Put -3, 54, -7 in increasing order.
-7, -3, 54
Sort -4, -1, -589 in increasing order.
-589, -4, -1
Put -7, 3, -3 in descending order.
3, -3, -7
Sort 837, 3, 1, -5 in decreasing order.
837, 3, 1, -5
Put -1, 5, -0.1, -3/5 in decreasing order.
5, -0.1, -3/5, -1
Put 1/141, 0, -5, 0.4 in ascending order.
-5, 0, 1/141, 0.4
Sort 1/3, 0.5, -0.089 in decreasing order.
0.5, 1/3, -0.089
Sort -8, -0.5, 1/47 in descending order.
1/47, -0.5, -8
Put -6, 5, 25 in ascending order.
-6, 5, 25
Sort 3/4, 0.1, -17/13 in ascending order.
-17/13, 0.1, 3/4
Sort 0, 1, -39.5, 1/5, 7.
-39.5, 0, 1/5, 1, 7
Sort 1, -6/25, 2/7 in decreasing order.
1, 2/7, -6/25
Sort -106, -3, -2, 5.
-106, -3, -2, 5
Sort 0, 24, 5 in ascending order.
0, 5, 24
Sort 0, -5, 3, -10 in descending order.
3, 0, -5, -10
Sort -5, 2, -182, 3 in decreasing order.
3, 2, -5, -182
Put -0.3, -0.4, 6/7, -149 in descending order.
|
{
"pile_set_name": "DM Mathematics"
}
|
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