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t**2/7 + 14478*t/7 + 10854/7 = 0.
-1809, -3, -1, 1
Let -225*w**5/4 - 1255*w**4/2 - 2290*w**3 - 6195*w**2/2 - 6215*w/4 - 175 = 0. Calculate w.
-5, -4, -1, -7/45
Find m such that -m**5/7 - 979*m**4 - 20553*m**3/7 - 20551*m**2/7 - 6850*m/7 = 0.
-6850, -1, 0
Solve -5*t**4 - 4600*t**3 - 63415*t**2 + 4600*t + 63420 = 0.
-906, -14, -1, 1
What is r in 2*r**3 + 100*r**2 - 2774*r + 14768 = 0?
-71, 8, 13
Factor -3*l**4/7 - 66*l**3/7 - 423*l**2/7 - 660*l/7 - 300/7.
-3*(l + 1)**2*(l + 10)**2/7
Factor 7*y**3 + 2948*y**2 + 3348*y - 5040.
(y + 2)*(y + 420)*(7*y - 6)
Solve -2*j**2/5 + 231872*j/5 + 695634/5 = 0 for j.
-3, 115939
Factor 6*v**2 - 12760*v + 8504.
2*(v - 2126)*(3*v - 2)
Solve -h**4/3 + 258794*h**3 - 50230750827*h**2 = 0.
0, 388191
Determine c so that -4*c**4/5 + 22764*c**3/5 - 159208*c**2/5 + 318336*c/5 - 181888/5 = 0.
1, 2, 4, 5684
Factor 3*w**2 + 48402*w - 581256.
3*(w - 12)*(w + 16146)
Factor -m**3/2 + 4149*m**2 + 16599*m/2 + 4150.
-(m - 8300)*(m + 1)**2/2
Solve -6*u**5 - 9045*u**4 + 4542*u**3 + 27123*u**2 - 31662*u + 9048 = 0.
-1508, -2, 1/2, 1
What is k in -6*k**2/7 - 364330*k/7 + 121444/7 = 0?
-60722, 1/3
Determine w so that -3*w**5 + 210*w**4 + 5103*w**3 + 26790*w**2 - 5100*w - 27000 = 0.
-10, -1, 1, 90
Let n**4 + 91*n**3 + 1807*n**2 - 8451*n + 6552 = 0. Calculate n.
-56, -39, 1, 3
Suppose 3*h**2 + 1335*h/2 - 40392 = 0. What is h?
-272, 99/2
Find z such that -2*z**4/15 + 22*z**3/15 + 262*z**2/15 + 254*z/5 + 228/5 = 0.
-3, -2, 19
Suppose 10*o**3/19 - 1196*o**2/19 - 5440*o/19 - 1984/19 = 0. What is o?
-4, -2/5, 124
Find l such that -3*l**3 + 82176*l**2 + 164361*l + 82182 = 0.
-1, 27394
Factor 3*b**3 - 16191*b**2 - 64803*b - 48609.
3*(b - 5401)*(b + 1)*(b + 3)
Let -r**3/5 - 939*r**2/5 + 3768*r/5 - 3772/5 = 0. What is r?
-943, 2
Let -1388*l**5/5 + 6944*l**4/5 - 8348*l**3/5 + 24*l**2/5 = 0. What is l?
0, 1/347, 2, 3
Suppose f**5/11 + 32*f**4/11 + 183*f**3/11 - 108*f**2 + 972*f/11 = 0. What is f?
-18, 0, 1, 3
Determine q so that 14*q**2/3 + 3646*q/3 - 696 = 0.
-261, 4/7
Suppose -2*b**4/11 + 296*b**3/11 + 3334*b**2/11 - 27780*b/11 + 45504/11 = 0. Calculate b.
-16, 3, 158
Factor 2*v**3 - 142*v**2 + 2572*v - 4592.
2*(v - 41)*(v - 28)*(v - 2)
Factor -2*p**2/13 + 36*p + 20054/13.
-2*(p - 271)*(p + 37)/13
Find r, given that 242*r**4/5 - 13398*r**3/5 - 52264*r**2/5 + 20328*r/5 - 1888/5 = 0.
-4, 2/11, 59
What is k in 3*k**5/4 + 109*k**4/2 + 2993*k**3/4 - 19471*k**2/2 - 18440*k + 7200 = 0?
-40, -2, 1/3, 9
Let -q**3/3 - 188*q**2/3 - 1279*q - 2310 = 0. What is q?
-165, -21, -2
Solve 3*p**3/4 + 458*p**2 + 3047*p/4 + 609/2 = 0 for p.
-609, -1, -2/3
Determine c so that 3*c**4/2 + 1323*c**3/2 + 14247*c**2/2 + 24537*c/2 + 5805 = 0.
-430, -9, -1
Solve 4*o**4 - 7384*o**3 + 80868*o**2 - 234992*o + 205520 = 0.
2, 7, 1835
Suppose 2*y**2/17 - 1656*y + 5827464 = 0. What is y?
7038
Solve -5*x**3/6 - 485*x**2/3 - 18055*x/6 + 9515/3 = 0.
-173, -22, 1
Determine o, given that -o**5/3 + 19*o**4/3 - 29*o**3/3 - 91*o**2/3 + 34*o = 0.
-2, 0, 1, 3, 17
Factor 4*l**2 - 780*l + 15224.
4*(l - 173)*(l - 22)
Let -r**5 - 207*r**4 + 1271*r**3 - 1497*r**2 - 1270*r + 1704 = 0. Calculate r.
-213, -1, 1, 2, 4
Suppose -z**3 - 333*z**2 + 4104*z + 6394032 = 0. Calculate z.
-228, 123
Let -2*j**3/21 - 550*j**2/7 + 53276*j/21 + 58208/7 = 0. What is j?
-856, -3, 34
Suppose m**4 + 1216*m**3 + 46913*m**2 - 149266*m + 101136 = 0. Calculate m.
-1176, -43, 1, 2
Suppose -3*r**4 + 4299*r**3 + 60627*r**2 + 212709*r = 0. What is r?
-7, 0, 1447
Find y, given that -y**5 + 19546*y**4 - 95570149*y**3 + 572893264*y**2 - 859154260*y + 381811600 = 0.
1, 4, 9770
Let 69*f**4/7 - 15390*f**3/7 - 14925*f**2/7 + 31590*f/7 - 192 = 0. Calculate f.
-2, 1/23, 1, 224
Factor -2*f**4 + 758*f**3 + 155992*f**2.
-2*f**2*(f - 527)*(f + 148)
Solve 4*u**4 + 2092*u**3 - 6328*u**2 - 8416*u = 0.
-526, -1, 0, 4
What is p in 3*p**3 + 3432*p**2 + 191487*p + 2739978 = 0?
-1086, -29
Find z, given that -2*z**4/5 - 1574*z**3/5 - 401286*z**2/5 - 6564274*z - 32421656/5 = 0.
-307, -172, -1
Determine f, given that -3*f**2/4 + 138861*f/4 - 902343/2 = 0.
13, 46274
Let 2*v**3 - 10708*v**2 + 14354050*v - 57245000 = 0. What is v?
4, 2675
What is t in -5*t**4 + 60*t**3 + 5290*t**2 + 27660*t - 33005 = 0?
-23, -7, 1, 41
Factor 55597*s**2/3 + 111197*s/3 + 2.
(s + 2)*(55597*s + 3)/3
Factor q**3/2 + 10915*q**2/2 + 87247*q/2 - 98163/2.
(q - 1)*(q + 9)*(q + 10907)/2
Factor 3*y**4/7 - 1107*y**3 + 260865*y**2/7 - 2209983*y/7.
3*y*(y - 2549)*(y - 17)**2/7
Let -4*b**2/7 - 219192*b/7 - 3002820804/7 = 0. Calculate b.
-27399
Let -d**3/3 - 1188*d**2 + 10711*d/3 + 11890 = 0. What is d?
-3567, -2, 5
Let 48*a**3 + 46*a**2 - 962*a + 40 = 0. Calculate a.
-5, 1/24, 4
Find n, given that 2*n**4/7 + 724*n**3/7 - 28008*n**2/7 + 257904*n/7 = 0.
-398, 0, 18
Find j such that -20*j**4 + 10928*j**3 + 39524*j**2 + 41776*j + 13200 = 0.
-2, -1, -3/5, 550
Let -d**4/3 - 3007*d**3/3 + 6019*d**2/3 + 3007*d/3 - 2006 = 0. What is d?
-3009, -1, 1, 2
What is r in 11*r**3 - 1076*r**2 - 13385*r - 2398 = 0?
-11, -2/11, 109
Factor 19*m**2 + 2122*m - 672.
(m + 112)*(19*m - 6)
Factor 25*m**4 - 17235*m**3 - 45009*m**2 + 20071*m - 2076.
(m - 692)*(m + 3)*(5*m - 1)**2
Factor -j**3/3 - 2435*j**2/3 - 2434*j/3.
-j*(j + 1)*(j + 2434)/3
Determine k so that k**4/3 - 3241*k**3/3 + 853880*k**2 + 105025600*k/3 - 107584000/3 = 0.
-40, 1, 1640
Factor -3*l**2/7 - 1149*l - 24102/7.
-3*(l + 3)*(l + 2678)/7
Solve -2*j**2/5 - 408*j + 2042/5 = 0.
-1021, 1
What is s in s**2/10 + 2052*s/5 - 78337/10 = 0?
-4123, 19
Solve 3*w**5 - 2850*w**4 - 2943*w**3 + 85818*w**2 - 216996*w + 159768 = 0 for w.
-7, 2, 951
What is x in -x**2 + 16512*x + 16513 = 0?
-1, 16513
Solve 2*l**2 + 6410*l - 12828 = 0 for l.
-3207, 2
Determine t, given that -3*t**4/7 + 111*t**3/7 + 1731*t**2/7 + 231*t = 0.
-11, -1, 0, 49
What is k in -k**4/7 + 16*k**3 - 221*k**2/7 + 110*k/7 = 0?
0, 1, 110
Solve -9*z**4/5 + 3120*z**3 - 36367*z**2/5 + 5540*z - 6924/5 = 0.
2/3, 1, 1731
Find u, given that -3*u**2/5 - 7203*u/5 + 5772 = 0.
-2405, 4
Let -39*a**4/4 - 591*a**3/2 - 5247*a**2/4 - 2013*a - 987 = 0. What is a?
-329/13, -2, -1
Factor 4*v**4 + 13796*v**3 + 13784*v**2 - 27584*v.
4*v*(v - 1)*(v + 2)*(v + 3448)
Factor -574564*v**3/7 + 3451932*v**2/7 - 27297*v/7 + 54/7.
-(v - 6)*(758*v - 3)**2/7
Find p such that p**3/2 - 10981*p**2/2 = 0.
0, 10981
Factor -3*i**2 - 139785*i - 698850.
-3*(i + 5)*(i + 46590)
Let -4*v**2 - 1092*v - 8480 = 0. Calculate v.
-265, -8
What is h in 15*h**5 + 978*h**4 + 7044*h**3 + 10296*h**2 = 0?
-286/5, -6, -2, 0
Suppose -t**4/8 + 85*t**3/8 + 1119*t**2/8 + 4315*t/8 + 2425/4 = 0. Calculate t.
-5, -2, 97
Suppose u**4/2 - 61*u**3/2 - 468*u**2 + 2222*u - 2336 = 0. Calculate u.
-16, 2, 73
Suppose -y**5/3 + 239*y**4/3 - 9130*y**3/3 + 49124*y**2/3 - 94504*y/3 + 61760/3 = 0. Calculate y.
2, 40, 193
Factor -2*a**3 + 1264*a**2 - 130080*a + 3686400.
-2*(a - 512)*(a - 60)**2
Factor k**4/4 + 255*k**3/4 - 3034*k**2.
k**2*(k - 41)*(k + 296)/4
Find k such that k**5/2 - 33*k**4 + 472*k**3 - 1911*k**2 - 945*k/2 + 1944 = 0.
-1, 1, 9, 48
Suppose 3*d**5 + 249*d**4 - 801*d**3 - 2241*d**2 + 6966*d = 0. What is d?
-86, -3, 0, 3
Solve -i**2/4 + 3439*i/4 + 11219 = 0.
-13, 3452
Factor -10*x**3/7 + 13488*x**2/7 - 4620114*x/7 + 48336588/7.
-2*(x - 669)**2*(5*x - 54)/7
Find m, given that -136*m**4/13 + 36986*m**3/13 - 2476424*m**2/13 - 5214494*m/13 - 225228/13 = 0.
-2, -3/68, 137
Factor 2*l**3 - 3424*l**2 - 55296*l.
2*l*(l - 1728)*(l + 16)
Let 2*j**3/3 - 212*j**2 - 12906*j - 180792 = 0. What is j?
-27, 372
Find f such that 5*f**4 - 1410*f**3 + 9695*f**2 - 19290*f + 11000 = 0.
1, 2, 4, 275
Factor -3*x**2 - 1959*x - 17388.
-3*(x + 9)*(x + 644)
Factor 5*k**2 - 495*k - 9860.
5*(k - 116)*(k + 17)
Find l such that -3*l**5 - 375*l**4 - 4059*l**3 + 1119*l**2 + 11454*l - 8136 = 0.
-113, -12, -2, 1
What is q in 3*q**3/7 + 1933170*q**2/7 + 311428854075*q/7 = 0?
-322195, 0
Suppose 3*d**3 - 264*d**2 + 7344*d - 62208 = 0. What is d?
16, 36
Factor 4*j**3 + 55128*j**2 + 55124*j.
4*j*(j + 1)*(j + 13781)
Determine s so that 4*s**2 + 1078456*s + 1078452 = 0.
-269613, -1
Solve 2*v**4/17 - 52*v**3/17 + 270*v**2/17 + 4*v/17 - 1520/17 = 0.
-2, 4, 5, 19
Suppose -52*t**5 + 2238*t**4 + 9430*t**3 + 11750*t**2 + 4422*t - 188 = 0. What is t?
-2, -1, 1/26, 47
Let -5*r**3 - 8205*r**2 - 3361995*r +
|
{
"pile_set_name": "DM Mathematics"
}
|
5*u + 0*u - 3*u)*(2 + 2*u**2 - 2) to w*u**3 + y*u + g + f*u**2 and give w.
6
Express -2*t**2 - 8 + 6 + 141*t - t**3 - 141*t as n*t + c + z*t**2 + y*t**3 and give z.
-2
Rearrange (-1 + 2 + 1)*(6 + 2 + 4)*(3 - 4 - 1)*(1 - 1 - h) to the form i + c*h and give c.
48
Rearrange (2*m**2 + 0*m**2 - 4*m**2)*(-4 - 2 + 4) - 42*m**2 + 49*m**2 + 65*m**2 + 2*m**2 - m**2 - 5*m**2 to the form h*m**2 + w*m + x and give h.
72
Express 43*j**2 + 19*j - 2 - 73*j**2 + 35*j**2 + 25*j**2 as b + n*j**2 + t*j and give t.
19
Rearrange -51*y**2 - 11*y + 4*y - 2 + 4*y to d*y**2 + f + n*y and give d.
-51
Rearrange -9844 + 5*o**2 + 0*o**2 - o + 9935 to i + g*o**2 + a*o and give g.
5
Express r - 58*r + 2*r**3 - r**3 as v*r**2 + n + a*r**3 + x*r and give a.
1
Rearrange (23 - 37 - 22 + (2 - 4 + 3)*(-1 + 1 - 2))*(-2*p**2 + p**2 + 6*p**2) to the form j*p**2 + r + d*p and give j.
-190
Rearrange (10 + 8 - 8)*(-3*m**2 + 3*m**2 + 9*m**4) + 2*m**4 - 23*m + 8*m - 2*m to the form u*m**4 + r*m**3 + t*m**2 + n + h*m and give u.
92
Rearrange -1501*m - 194*m - 202*m to w*m + r and give w.
-1897
Rearrange 19*k + 13*k - 47*k - 2*k**3 + 16*k + 1 - 56*k**2 to b*k**2 + f*k + l + m*k**3 and give m.
-2
Express (3 - 3 + m)*(15*m - 20 + 20) + (2*m - 4 + 4)*(-2 + 2 + 2*m) - 2 + 3 + 12*m**2 + 1 as g + x*m**2 + k*m and give g.
2
Rearrange u**2 - 47*u**2 - 13*u**2 + 27 + 21*u**2 to the form v*u + x + s*u**2 and give x.
27
Express (-4*u**2 + 0*u**2 + 6*u**2)*(-20*u - 141 + 141) as n + k*u + w*u**3 + o*u**2 and give w.
-40
Express 32*f + 17*f + 6*f + 64*f in the form l*f + p and give l.
119
Rearrange -125 + 126*d - 122 + 247 to the form r + y*d and give r.
0
Express (-4 + 4 + 1)*(0*b - 3*b + 0*b)*(0*b + 4*b + b) as x*b**2 + c + i*b and give x.
-15
Rearrange -76*s**2 + s - 4*s + 21*s**2 + 39*s**2 - 3*s to b*s + y + k*s**2 and give k.
-16
Express (-4 + 4 + r)*(54*r + 25*r - 22*r) + (2 - 2 - r**2)*(5 - 2 - 2) - 5*r**2 - 2*r**2 - 3*r**2 - 2*r**2 + 3*r - 3*r in the form k + i*r**2 + o*r and give i.
44
Express l**3 - 15*l**4 + 3 + 7 - 3*l - 13 + 13*l**4 as t + i*l**2 + n*l**3 + z*l**4 + k*l and give z.
-2
Rearrange 7*c**2 + c**2 + 25*c**3 + c - 12*c**2 + 1 - 2*c**4 - 23*c**3 to m*c**4 + g*c + h*c**2 + v*c**3 + p and give v.
2
Rearrange 151 - 141 + 4*w**2 + 158 + 78 to the form n*w**2 + m + h*w and give m.
246
Express -9 + 60 - 2 - 3*q in the form x + h*q and give h.
-3
Rearrange 5*q**2 + 5*q**2 - 13*q**2 + q + 5*q**2 - 205 to the form b + p*q**2 + m*q and give b.
-205
Rearrange 257*j**2 + 5 - 10*j - 3 - 2 - 228*j**2 to i*j**2 + u*j + a and give i.
29
Express 3*z**2 - 122*z - 2*z**2 - 46*z as y*z**2 + h + u*z and give u.
-168
Rearrange 2116*i**2 + i**4 + i - 2109*i**2 + 14*i**3 + 3 - 4 to z*i**2 + r*i**4 + t*i**3 + a + q*i and give q.
1
Express (v - 2 - 5 + 6)*(4*v**2 - 14 + 17 - 3*v**2) as m*v**2 + x*v + f + w*v**3 and give m.
-1
Rearrange (-499257*c + 499257*c + 638*c**2)*(c + c - 4*c)*(6*c - 4*c - 4*c) to the form h*c + d + p*c**3 + y*c**4 + i*c**2 and give i.
0
Rearrange -463 + 912 - 449 - 415*p to o + g*p and give g.
-415
Express -4 - 2 + 685*n**3 - 684*n**3 - 5 - 2*n - 2*n**2 - 3 as g*n**3 + m*n**2 + o*n + w and give m.
-2
Express -8*j + 3*j + 7*j - 2*j + 118*j**2 as g*j + l + p*j**2 and give p.
118
Express -1427*d**2 + 31 + 8 - 39 + (-3*d - 3*d + 4*d)*(-1 - 2*d + 1) in the form s + r*d + f*d**2 and give f.
-1423
Express 5 + 5*p + 9*p**3 + p**2 + 0*p - 1 - 11*p**3 as n + d*p**2 + a*p**3 + q*p and give d.
1
Express (0 + 13*v**2 + 0)*(2 - 34*v**2 - 28*v**2 - 2) in the form t*v**4 + g*v + s*v**2 + w*v**3 + i and give t.
-806
Express (-c**2 + c**2 - 4*c**2)*(-3*c + 2*c - 6*c)*(-16 - 16 + 6) in the form i + f*c + m*c**3 + b*c**2 and give m.
-728
Express 238*b + 52*b - 6*b + 26*b as r*b + y and give r.
310
Rearrange -690 + 4*a - 3*a**3 + 54*a**4 - 2*a - 2*a + 689 to n*a**2 + v*a**4 + t + j*a**3 + x*a and give j.
-3
Express -1 + 2*q**3 + 1 - 11*q**4 + 36*q**2 + 10*q**4 + 0*q**4 - 1 in the form v*q**3 + h*q**4 + j*q + n + t*q**2 and give h.
-1
Express 3 + g**3 + 3*g**2 + 3*g**3 - 11*g**3 + 0*g**3 in the form o + r*g + c*g**2 + d*g**3 and give d.
-7
Rearrange 786*k + 248*k - 378*k + 312*k to the form l*k + p and give l.
968
Rearrange 2*w**2 + 80 + 0*w**2 - 77 + w**3 + 14*w to k*w + i + h*w**3 + v*w**2 and give i.
3
Rearrange 4*h**3 - 40*h**4 + 14 - 2*h**2 + 2*h**2 - 37*h**4 - 11*h + 79*h**4 to the form a*h**4 + b + x*h + z*h**3 + y*h**2 and give a.
2
Rearrange -16*k**2 + 9*k - 36*k**2 + 54*k**2 to t + y*k + o*k**2 and give y.
9
Rearrange -111 + 57 - m**4 - 27*m**4 + m + 56 - 2*m**3 to z*m**2 + i*m**4 + c*m + x + w*m**3 and give w.
-2
Rearrange (869 - 186 + 397 + 39)*(-a + 5*a - 2*a) to s + c*a and give c.
2238
Express -410*r**2 + 49*r**2 - 377*r**2 + (2*r - 2*r - r**2)*(-2 + 1 - 1) as x + l*r + s*r**2 and give s.
-736
Express 27 - 2 + 139*l - 29 in the form c + v*l and give c.
-4
Express 482*b**2 - 3*b**3 - 481*b**2 + 5*b**3 + 54*b in the form j*b**2 + z*b**3 + t*b + c and give t.
54
Rearrange 2 - 258*i + 0 - 2 to y*i + x and give y.
-258
Rearrange ((-t + 2*t + t)*(0*t + 2*t - 3*t) + (9*t**2 - 7*t**2 - 14*t**2)*(-1 + 10 + 14))*(2*t - 3 + 3) to s + v*t + y*t**2 + f*t**3 and give f.
-556
Express (-4*a - a + 3*a)*(-4 + 2*a + 4) + 2*a**2 - a**2 + a**2 + 2*a**2 + 0*a**2 - 4*a**2 - 4*a**2 + 2*a**2 - 7*a**2 as s + o*a + k*a**2 and give k.
-13
Rearrange -2*f - 9*f**4 - 663*f**3 + 3*f + 661*f**3 - 3*f**2 + 14*f**4 to w*f**2 + i*f + h*f**4 + y + d*f**3 and give w.
-3
Express (-30 + 30 - 195*n**2)*(-1 - 3 + 1) in the form s*n + v*n**2 + d and give v.
585
Express 32*i**2 - i**2 - 5*i + 116*i**3 + 4*i - 70*i**3 - 44*i**3 + 2 in the form p*i**3 + n*i + v + u*i**2 and give p.
2
Rearrange -13 - 83*z - 80*z + 154*z - 5*z - z + 3*z + (3 - 5 + 1)*(-4*z + 4*z + 2*z) to the form f*z + k and give f.
-14
Rearrange (3 - 3 - 3*r**2)*(6 - 1 + 0) + (4 - 2*r - 4)*(r + r - 3*r)*(0 + 7 - 1) to the form x*r + f*r**2 + p and give p.
0
Express -74*f**3 + 30*f**3 + 6 + 2*f**2 + 39*f**3 - 5*f as m*f + i*f**3 + a + d*f**2 and give i.
-5
Express 27*o - 4*o - 4*o - o + 11*o - 6*o + (0*o + 4*o - 2*o)*(-2 + 5 - 2) - 2*o + 3*o + 0*o - o + o - 2*o - 3*o + 2*o + 2*o as g*o + v and give g.
25
Rearrange 0*h + 0*h + 19*h**3 + (-3*h**3 - 14*h**2 + 13*h**2 + 42*h**3)*(1 + 3 - 2) to the form c*h + b*h**3 + a + p*h**2 and give b.
97
Express 529 + 776*q - 1058 + 529 - q**2 in the form t*q**2 + s*q + v and give t.
-1
Rearrange -3*r**3 - 9588 + r - 2*r**3 + 9580 + r - 35*r**4 + 2*r**3 to the form b*r + s + l*r**4 + p*r**3 + a*r**2 and give b.
2
Express (0*y + y + y)*(7*y**3 + 24*y**3 + 2*y**3 + (3*y**2 - y**2 + 0*y**2)*(-y + 6*y + 0*y)) as r*y**2 + b + n*y**4 + o*y + k*y**3 and give n.
86
Rearrange -483 - 484 + 1813*y + 1452 - 485 to the form w*y + c and give w.
1813
Rearrange (-q - 6*q + 4*q)*(-1638*q - 17 + 1697*q - 6 + 4) to the form t*q**2 + h + k*q and give t.
-177
Express (11 - n - 11)*(2*n + 3 - 3)*(-84 + 107 + 61) as m*n + f*n**2 + y and give f.
-168
Rearrange (2*m**2 - 5*m**2 + m**2)*((-2*m - 3 + 3)*(58 + 39 - 86) - 4*m + 2*m + m) to u*m**2 + d + b*m**3 + s*m and give b.
46
Rearrange (-2*k - 3*k + 3*k)*(-4080*k**3 - 1464*k**3 - 1496*k**3 + 111*k - 111*k) to f*k**4 + p + a*k**2 + i*k**3 + s*k and give f.
14080
Rearrange 2*w + 11*w**2 - 2 + 15*w - 11*w**2 + 3*w**2 to z*w**2 + h + p*w and give z.
3
Rearrange 4*q + 2*q**3 + 107*q**2 - 821 - q**3 + 819 - 23*q**2 - 2*q to v*q + j + m*q**2 + n*q**3 and give m.
84
Rearrange (-8 + 14 + 14)*(17 - 27 + 12 - o) to the form q + n*o and give n.
-20
Rearrange (-5*s + 5*s - 4*s**2)*(-36*s**2 + 2*s**2 - 23*s**2) to x + m*s + k*s**2 + v*s**4 + r*s**3 and give r.
0
Rearrange (-u + 2*u + 3*u)*(109 + 68 - 33) to the form b*u + v and give b.
576
Express -110*t**3 - 79*t**2 - 104*t**3 + 2*t + 212*t**3 in the form h*t + a*t**3 + g*t**2 + c and give a.
-2
Rearrange -9*z + 10*z**3 + 26*z - 17*z + 5 + 6*z**3 to c + k*z**2 + w*z**3 + v*z and give w.
16
Rearrange -8*m**3 + 0*m**3 - 2*m**3 + (3 + 0 - 1)*(2*m**3 - 4*m**3 - 2*m**3) + 6*m**3 + 2*m**3 + m**3 to l*m + g*m**2 + x*m**3 + r and give g.
0
Express (-4 + 1 + 2)*(7*c - 7 - 18*c + 9*c) + 0 + 0 + c as v + o*c and give o.
3
Express 39*g + 2*g**2 + 14*g - 2*g**3 - 8*g - 8*g as l*g**3 + a + b*g + q*g**2 and give l.
-2
Rearrange 5 + 2*c**2 - 534*c**3 - 527*c**3 + 1054*c**3 to the for
|
{
"pile_set_name": "DM Mathematics"
}
|
/4 (d) -0.07
d
What is the closest to 1 in -5/4, -4, -1, -3/2?
-1
What is the nearest to 0 in 1/14, -3, -1/2, -0.3?
1/14
What is the closest to 2/7 in 0.4, 1.14, 1/7?
0.4
What is the nearest to -2 in -3, 2, -41?
-3
Which is the closest to 2? (a) 16 (b) -1 (c) -3
b
What is the closest to -1 in -0.1, 1.6, -4/7, -4?
-4/7
Which is the closest to -3? (a) 0.3 (b) -0.14 (c) -14
b
Which is the nearest to 1? (a) 0.3 (b) -4 (c) 5 (d) 2
a
Which is the nearest to 0.1? (a) 5 (b) -5 (c) -1/2 (d) 1
c
What is the closest to 0.2 in -0.16, 3, -5?
-0.16
What is the closest to -2 in -207, 3/4, 0.1, -4?
-4
What is the closest to 2 in -1/8, -0.3, -1, -4?
-1/8
What is the nearest to 2 in 2/11, -2/7, 0, 0.2?
0.2
Which is the closest to -0.1? (a) 5 (b) 3/14 (c) -2/5 (d) 68
c
Which is the closest to -1? (a) 2/5 (b) -0.34 (c) -2/15
b
What is the closest to -1/2 in -2, -2/5, 2/5, 1/6?
-2/5
Which is the nearest to 0.1? (a) -1030 (b) 3/5 (c) -4
b
Which is the nearest to 1? (a) -0.03 (b) -3 (c) 18 (d) 2
d
What is the closest to 0.2 in -2, -13, -24, -3/10?
-3/10
Which is the nearest to -1/4? (a) -2.5 (b) -4 (c) 0.2
c
What is the nearest to 2/3 in 0, 22/9, -2/11, -0.4?
0
What is the nearest to -3 in 2.3, -3/5, 2?
-3/5
What is the nearest to 12 in -10/9, 1, 1/3, -1/5?
1
Which is the nearest to -1? (a) 2 (b) 2/5 (c) 0.03 (d) 4/3
c
Which is the nearest to 24? (a) 4 (b) 11 (c) 0.7
b
What is the nearest to -1 in 1.7, 16, -4?
1.7
Which is the nearest to 13? (a) 5 (b) -1 (c) -0.2
a
Which is the closest to 1? (a) -2/9 (b) -4 (c) 15 (d) -108
a
What is the closest to 32 in 0.3, -3, -1?
0.3
Which is the closest to -2? (a) -2/3 (b) 0 (c) 3/16
a
What is the closest to 0 in -10, -3, 0.08, -0.3?
0.08
What is the closest to -1 in -0.039, -1/7, 4?
-1/7
What is the nearest to -2/3 in -1.188, -5, -1, -0.3?
-1
What is the closest to 1/2 in 2/11, 2/5, -0.4, 1?
2/5
What is the closest to 1 in 8, -0.3, -0.075, -2/9?
-0.075
What is the closest to -1/3 in -15, 0.5, 5?
0.5
Which is the closest to -1? (a) 52 (b) 0 (c) -5
b
Which is the nearest to -2? (a) 2/113 (b) -4 (c) -0.7
c
Which is the closest to -1/4? (a) -0.1 (b) 2 (c) -3
a
What is the closest to -1 in 3/8, 25/2, -1/7, -5?
-1/7
Which is the closest to 0.1? (a) -2 (b) -5/2 (c) -6/13
c
Which is the nearest to 1? (a) -5 (b) 6/7 (c) 1/4
b
Which is the nearest to -3? (a) -7 (b) 19/5 (c) 4
a
What is the closest to 0 in 0.06, -5, 1, -1/3?
0.06
Which is the closest to -2/9? (a) -37 (b) -5 (c) 0.3 (d) -1/4
d
Which is the closest to 0? (a) -0.1 (b) 0.55 (c) 3
a
What is the nearest to 1 in -1, -8, 0.6?
0.6
What is the closest to -1 in 1, 1/11, 0.5?
1/11
Which is the closest to 0.2? (a) 0.01 (b) -2/11 (c) 2
a
What is the closest to -1/2 in 7, 12, -5, -4?
-4
Which is the closest to -0.1? (a) -1.3 (b) -17 (c) 0.4
c
Which is the closest to -1/16? (a) -0.05 (b) -4 (c) 0
a
Which is the nearest to 3/7? (a) 2 (b) 5 (c) 3 (d) -5
a
What is the nearest to 2 in 0, 3, 46?
3
What is the nearest to 7 in 1, -2/7, 4?
4
Which is the nearest to 2/3? (a) 5 (b) -1/4 (c) -1 (d) -3/4
b
What is the closest to -2/3 in -5, 1, 0.3, -1.2?
-1.2
What is the nearest to -3/2 in 1/3, -0.3, -4?
-0.3
Which is the nearest to -1/6? (a) -853 (b) -3 (c) -2/5
c
What is the nearest to 0.2 in -0.4, -0.1, 189?
-0.1
What is the nearest to 0 in -0.058, -3/2, -0.2?
-0.058
What is the closest to -96 in 1, -4/3, 0?
-4/3
What is the closest to 0.1 in 27, -5, -297?
-5
What is the closest to 0.1 in -4, 0.5, -4/7?
0.5
Which is the nearest to -0.1? (a) 0.5 (b) 0.4 (c) 2 (d) 29
b
What is the closest to -2 in 4, -7, -10, 1/11?
1/11
What is the closest to -32 in 2, -4, -2.2?
-4
What is the nearest to -2/5 in 0.25, 4, -4, 0.1?
0.1
Which is the closest to -1? (a) 0.2 (b) 17 (c) 5
a
Which is the nearest to -0.9? (a) 1/2 (b) -3 (c) -5 (d) -0.04
d
Which is the nearest to 1? (a) -2 (b) 17 (c) -0.23 (d) -0.3
c
What is the closest to -2/7 in -2, 1/2, -0.5, -3/10?
-3/10
What is the nearest to 0.1 in 4, -2/13, 0.14, -1?
0.14
What is the closest to -0.2 in 5, -0.5, 4, 3/2?
-0.5
What is the nearest to 0.1 in -4, -2, 0.5, -2/3?
0.5
What is the nearest to 2 in 1, 0.4, 10, 0.2?
1
What is the nearest to -1 in 1/5, -15, -4/7?
-4/7
What is the nearest to 6 in -2/3, -1/2, -13?
-1/2
Which is the nearest to -16? (a) 0 (b) 2/5 (c) 1 (d) -1
d
What is the closest to 2 in -3, 2/17, 0.2, -0.4?
0.2
What is the closest to 1/4 in 0.095, -4/7, -0.2, -1/3?
0.095
What is the closest to 2 in -1/5, -1, 0.2?
0.2
Which is the nearest to 1? (a) -4 (b) 0.1 (c) 0.855 (d) -5/4
c
Which is the nearest to -0.1? (a) 65/4 (b) 0 (c) 1.25
b
What is the nearest to -1 in 2, 0, -14?
0
What is the closest to -3 in -2, 0.3, -2/9, 8?
-2
What is the closest to 3 in -1.4, -6, 3, 0.5?
3
What is the nearest to -1/3 in -7, -3, 0.1?
0.1
What is the nearest to 8 in 2, 164, 1, 2/3?
2
Which is the closest to 2? (a) 2/1511 (b) -3 (c) 1
c
What is the nearest to -0.1 in -5.7, 6/5, 5?
6/5
Which is the nearest to 0? (a) -0.4 (b) -2/27 (c) 0 (d) -0.066
c
Which is the closest to -0.1? (a) -1 (b) 188/9 (c) 0.1 (d) 0.2
c
Which is the nearest to -6? (a) 1 (b) -0.2 (c) -1/2 (d) 0.15
c
Which is the closest to -5? (a) -0.04 (b) -0.5 (c) 2/3
b
Which is the closest to 0.2? (a) 0.1 (b) -4/9 (c) -4
a
What is the closest to -1 in 0.2, -3/14, -1/3, -0.1?
-1/3
Which is the nearest to -0.031? (a) 1 (b) -0.4 (c) 5
b
Which is the closest to 2/9? (a) 4 (b) 4/7 (c) 0.4
c
Which is the nearest to -0.2? (a) -0.12 (b) 4 (c) -0.06
a
Which is the nearest to -2/23? (a) 0 (b) 2 (c) -2 (d) -4
a
Which is the nearest to -0.1? (a) -0.1 (b) -6 (c) 0.2 (d) -2/9
a
Which is the closest to 2/5? (a) -1 (b) -3 (c) 4 (d) -609
a
Which is the nearest to 2/7? (a) 2.2 (b) 4 (c) -1/4 (d) 2
c
What is the closest to 0.0738 in -1, -0.5, 1/7?
1/7
Which is the nearest to 3? (a) -3 (b) 1/5 (c) -12/23
b
What is the nearest to -4 in 1, -2, -0.2, 9?
-2
Which is the closest to -33? (a) -0.4 (b) -5 (c) 2/7
b
Which is the closest to -2? (a) -0.5 (b) -2 (c) 1/8
b
What is the nearest to -1/3 in 3, -0.5, -5/12, 2?
-5/12
Which is the closest to 2/3? (a) 12/47 (b) 1 (c) 3 (d) 5
b
What is the closest to 4 in 0.3, -3, -1/3?
0.3
Which is the nearest to 0? (a) -6 (b) 2 (c) 2/13 (d) 0
d
Which is the closest to 36? (a) 2 (b) 0.1 (c) -4
a
What is the nearest to 2 in 2/109, -3/4, 0.14?
0.14
What is the nearest to -0.1 in -5, 5/6, -2, 0.5?
0.5
Which is the closest to -0.012? (a) 0.3 (b) 5/4 (c) -2/3 (d) 9
a
Which is the closest to 2/3? (a) -0.14 (b) 3/91 (c) -0.4
b
What is the closest to 0.1 in 3, 1/4, -3, 500?
1/4
Which is the closest to 7? (a) 0 (b) -2 (c) -330
a
Which is the nearest to -13? (a) 6 (b) -0.1 (c) -0.5 (d) 3
c
Which is the closest to 2/7? (a) -8 (b) -2 (c) 0
c
What is the nearest to -2 in 1/194, 3, 3/8?
1/194
Which is the closest to 4? (a) 1/8 (b) 0.2 (c) -0.4 (d) 12
b
What is the nearest to -59 in -2/7, -4, 0.5, -1/4?
-4
What is the closest to -0.1 in 2, 3, 5, 15?
2
Which is the nearest to -0.1? (a) 1 (b) 1/2 (c) -3 (d) 49
b
Which is the nearest to 0.055? (a) 12 (b) -4 (c) 4
c
What is the closest to -0.1 in -0.8, -4, 4?
-0.8
What is the closest to -0.3 in -41, -1, -0.01?
-0.01
What is the nearest to 23 in 1/2, 0.1, 3, -3/2?
3
What is the nearest to 1/4 in 2, -0.1, 3, -5?
-0.1
Which is the closest to -0.1? (a) -1/5 (b) -1/18 (c) -11
b
Which is the nearest to 0.033? (a) -0.4 (b) -0.1 (c) -0.05
c
What is the nearest to -19 in 1, 0, 4/3, 0.2?
0
What is the nearest to -2/47 in -5, -0.3, -0.065, -0.1?
-0.065
What is the nearest to 0.2 in -3/4, -2/15, 5/7, 0.2?
0.2
Which is the nearest to -1? (a) -3 (b) -4028 (c) 0.2
c
Which is the closest to -2? (a) -1 (b) 2 (c) 303 (d) -1/7
a
Which is the closest to 0.2? (a) 1/8 (b) -2 (c) -10
a
Which is the closest to -18/7? (a) 4 (b) -41 (c) 16
a
What is the closest to 2/21 in 2/5, 5, 6?
2/5
Which is the closest to -1/19? (a) -1 (b) 0 (c) 0.01
b
What is the nearest to 2 in 1/5, 3, 24?
3
Which is the nearest to 0.1? (a) -0.5 (b) -4 (c) -5 (d) -2
a
Which is the nearest to -13? (a) -0.5 (b) 2/65 (c) 4 (d) -3
d
What is the closest to 1 in 0.2, 15, 2/3, -3?
2/3
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to -0.3? (a) -35/2 (b) -3/2 (c) 4
b
Which is the closest to -2? (a) -3/8 (b) -2/119 (c) -0.5 (d) 1/4
c
Which is the nearest to 0? (a) 0 (b) -5 (c) 0.5 (d) 3/5
a
Which is the nearest to 0.2? (a) -1/2 (b) 3 (c) 1.9 (d) 2
a
What is the closest to 5/3 in 0.5, 0.4, -5?
0.5
Which is the closest to -0.3? (a) -12 (b) 5 (c) 1/10
c
Which is the closest to 1? (a) 3/7 (b) 3/5 (c) 8 (d) -9
b
What is the nearest to 21 in -0.1, -5/8, -3?
-0.1
Which is the nearest to -1? (a) 23 (b) -3 (c) 3/4 (d) -6
c
Which is the nearest to -1/4? (a) -2/157 (b) -1/9 (c) 8 (d) 2
b
Which is the closest to 3? (a) 1.06 (b) -2 (c) 1
a
Which is the nearest to -2? (a) -10/3 (b) -1/2 (c) 69 (d) -2/7
a
Which is the closest to -1/14? (a) 0.01 (b) -5 (c) 3
a
Which is the nearest to 1? (a) 4/9 (b) -1 (c) 5
a
Which is the closest to -1? (a) 0.1 (b) -5 (c) 0.4 (d) 509
a
Which is the closest to -35? (a) -4 (b) -5 (c) 1
b
What is the nearest to -2/11 in 0.3, 3, 2?
0.3
What is the nearest to 0.5 in 2/11, 2, -7?
2/11
Which is the closest to 1? (a) 18 (b) 6/7 (c) -2 (d) 0.5
b
What is the closest to -1/5 in 5, -235, -0.2, -4?
-0.2
Which is the nearest to 1? (a) 7 (b) 5 (c) -2/5 (d) 0
d
Which is the nearest to 1? (a) -1/3 (b) -2/17 (c) 25 (d) 0.5
d
Which is the closest to 4/17? (a) 2/5 (b) -5 (c) 2
a
What is the closest to 0.3 in 0, 0.4, 17, -0.07?
0.4
What is the nearest to -2/5 in -5, 1/4, -6, 3/5?
1/4
Which is the closest to -0.1? (a) 2/5 (b) -27 (c) -1
a
Which is the closest to 6.2? (a) 4 (b) -4 (c) 2
a
Which is the nearest to 4? (a) 2/5 (b) -3 (c) 2/7
a
What is the nearest to -2 in 0, -1/13, -2, 1/5?
-2
What is the nearest to -1/5 in -20, -2/9, -5?
-2/9
Which is the nearest to 1? (a) -5 (b) -3 (c) -4 (d) -255
b
Which is the closest to 1? (a) -0.09 (b) -2/5 (c) 2 (d) 3
c
Which is the closest to 0? (a) 0 (b) 492 (c) 0.5
a
Which is the closest to 0.01? (a) 2 (b) 1/4 (c) -24 (d) -2
b
Which is the closest to 0? (a) 1/13 (b) -1/2 (c) -8
a
Which is the nearest to 1? (a) -33 (b) 4 (c) -4 (d) 2/3
d
Which is the nearest to 0? (a) -5 (b) -3 (c) 0
c
Which is the closest to 0? (a) -5 (b) 203 (c) 0.3
c
What is the nearest to 0.48 in -5, 3/4, -2/3, 0.2?
3/4
What is the nearest to 0.5 in 4, 2/5, 2, 0?
2/5
What is the closest to -4/5 in 2/3, 3, 29/2, -4?
2/3
Which is the closest to 11/2? (a) 0.3 (b) -1/4 (c) 0.1 (d) 3/5
d
Which is the closest to 4? (a) -0.12 (b) -1/2 (c) -12 (d) 3
d
What is the closest to 0.1 in 3/5, 2/13, 8/13?
2/13
Which is the closest to -1? (a) -2/3 (b) 1.39 (c) -3 (d) 2/15
a
What is the closest to -2/5 in -0.3, 27, -5/21?
-0.3
Which is the closest to 17? (a) 0.2 (b) -1/3 (c) 0 (d) -30
a
What is the closest to -0.06 in -0.5, 1, -3?
-0.5
Which is the closest to 3? (a) -0.5 (b) -4/5 (c) 2/7 (d) -1/5
c
Which is the closest to 2? (a) -3 (b) 1 (c) -5
b
Which is the closest to 11? (a) 1/4 (b) 0.1 (c) -7 (d) -1/2
a
What is the closest to 0 in 0, -4, -2, -0.4?
0
Which is the closest to -4? (a) 0.4 (b) 0.5 (c) -6/11 (d) 3
c
Which is the nearest to 0? (a) -5 (b) 4/3 (c) -3 (d) 1/7
d
What is the nearest to -1 in 4, -1/11, 1?
-1/11
Which is the closest to 5? (a) -2/7 (b) -1/7 (c) -5
b
Which is the nearest to -1? (a) 0.1 (b) -49 (c) -1 (d) -2/11
c
Which is the closest to -1? (a) -0.48 (b) -2/7 (c) 3 (d) 12/5
a
What is the nearest to 0.3 in -2, -0.051, 2/19, 0.3?
0.3
What is the nearest to -1.86 in -2/17, -2/3, 1/2?
-2/3
What is the nearest to 1.3 in -0.1, -1, -4?
-0.1
Which is the closest to -2? (a) 17 (b) -1 (c) -1/2
b
What is the closest to -8 in 4, -1/5, -1/3?
-1/3
What is the closest to -5 in -1/8, 1/5, -5, -1/4?
-5
Which is the closest to 0.1? (a) -4 (b) -0.06 (c) -24 (d) -1/8
b
What is the nearest to 26 in 3, 2/13, -25?
3
What is the closest to 2/3 in -1, 0.3, 4, -25?
0.3
What is the nearest to 0.1 in 2/13, 3, 2, -1?
2/13
Which is the closest to 0.9? (a) -0.2 (b) -0.7 (c) -2/3
a
Which is the nearest to -1/3? (a) 0.1 (b) 3/5 (c) -4 (d) -0.9
a
Which is the nearest to -2? (a) 0 (b) 2/3 (c) 1 (d) -2
d
What is the closest to 1 in 2, 5, -1/7, -0.2?
2
Which is the nearest to 0? (a) 6 (b) -5 (c) 14
b
Which is the nearest to -0.1? (a) 0.4 (b) -266 (c) -1
a
Which is the closest to -1? (a) -12 (b) 2 (c) -1/3 (d) 0.11
c
Which is the nearest to 0.2? (a) -1/3 (b) 2/15 (c) -4 (d) 9
b
What is the closest to -2 in 0.5, 3, -0.5, -3?
-3
What is the closest to -15 in 5, -1/4, 3/5?
-1/4
Which is the closest to -4? (a) 5/6 (b) 1/2 (c) -2/11 (d) 2/9
c
Which is the closest to 0.1? (a) 2/23 (b) 1/85 (c) 1/2 (d) -0.1
a
Which is the closest to -2? (a) 0.5 (b) -5 (c) -102
a
Which is the closest to 0.19? (a) 0 (b) -3 (c) 0.3
c
Which is the closest to 1/4? (a) 3/5 (b) 0 (c) 5 (d) 525
b
What is the nearest to 0.2 in -1, 0.06, -26, -4/7?
0.06
What is the nearest to 0.1 in -0.5, 2/45, -0.02?
2/45
Which is the nearest to -1? (a) 1/3 (b) 1/53 (c) -0.5 (d) -2
c
What is the nearest to -1 in 2/3, 0.3, 50, -10?
0.3
Which is the nearest to 4? (a) -4 (b) 2 (c) -0.06
b
Which is the nearest to 0.178? (a) 0.3 (b) 1 (c) 0.02
a
What is the nearest to 1 in 2, -5, -1/2, -0.3?
2
What is the closest to 0 in -0.1, -16, 2/11, 0?
0
What is the closest to -0.1 in -4, 0.003, 0?
0
Which is the closest to -0.1? (a) 1/2 (b) 3 (c) 5 (d) 1/68
d
Which is the closest to -0.1? (a) -1 (b) -4 (c) 0.3 (d) 2/19
d
What is the closest to -4 in -2, -1.6, -0.1, -4?
-4
What is the closest to -44 in -18, 2, 4?
-18
Which is the nearest to 5/7? (a) 2 (b) 2/7 (c) 2/5 (d) -5
c
What is the closest to 0.1 in 7/4, 5, -2?
7/4
Which is the nearest to 3? (a) -0.4 (b) 15 (c) 3 (d) -0.2
c
Which is the closest to -1/3? (a) -3 (b) 1/32 (c) -2/5
c
What is the nearest to 1/4 in -3, -33/4, 4/5, -0.1?
-0.1
What is the closest to 2/11 in -0.5, -2, 4, -0.4?
-0.4
Which is the nearest to 1? (a) -4 (b) -2/11 (c) 2 (d) -7/9
c
What is the closest to 18 in 1/2, 5, 0.2, -3?
5
Which is the closest to -0.2? (a) 0.4 (b) 0.5 (c) 1 (d) -2
a
Which is the nearest to -1? (a) -1 (b) -0.5 (c) 18 (d) -5
a
Which is the nearest to 0? (a) 5 (b) 2/3 (c) -36.6
b
What is the nearest to 0.1 in -1/8, -4, -1/72, 6?
-1/72
Which is the closest to -12? (a) 0.1 (b) -2/3 (c) 2
b
Which is the nearest to 2/17? (a) 5 (b) 8 (c) -3/7
c
What is the nearest to 264 in -3, -50, -1/3?
-1/3
What is the nearest to 0.1 in 2/5, -0.5, -2/57, -0.1?
-2/57
Which is the closest to 1/3? (a) -0.2 (b) 15 (c) 1 (d) 3
a
What is the nearest to 3/4 in -0.5, 3, 226?
-0.5
What is the nearest to -70 in 2, -0.6, -3?
-3
What is the closest to -4 in -4, 2, -2/19?
-4
Which is the closest to 1? (a) -5 (b) 0.1 (c) -1/358 (d) 1/2
d
Which is the closest to 3? (a) -2/7 (b) 3 (c) 0 (d) -0.1
b
What is the closest to 1/3 in 4/11, -4, 5?
4/11
Which is the nearest to -2? (a) 0.17 (b) 4 (c) 1/4
a
Which is the nearest to 0.2? (a) -0.3 (b) 157 (c) -5
a
What is the nearest to -5.8 in 2/21, -0.5, -2/43?
-0.5
What is the nearest to -87 in -3/8, -0.1, -1/4?
-3/8
Which is the nearest to -1? (a) -4/5 (b) 5/6 (c) 2/35
a
Which is the closest to -1/2? (a) -244 (b) -2/41 (c) 4
b
Which is the nearest to -0.09? (a) -3 (b) -11 (c) 2
c
What is the nearest to 3/4 in -0.4, -96, 1?
1
Which is the nearest to 1/4? (a) -5 (b) -23 (c) 2/3 (d) -1
c
Which is the closest to -2/53? (a) -9/5 (b) 1.2 (c) -0.3
c
What is the closest to -414 in -0.3, -2/7, 2, 0.4?
-0.3
What is the closest to 10 in 0.3, 2/11, 2/9, -0.5?
0.3
Which is the closest to 1/5? (a) 6 (b) -0.5 (c) 1/6 (d) -1/7
c
What is the nearest to -4/3 in 2/5, 4, 1/2?
2/5
What is the closest to 0.4 in -2, 2, -5?
2
Which is the nearest to -3? (a) 7 (b) -7 (c) 2/7
c
What is the closest to -0.4 in 4, -0.1, 14/15?
-0.1
Which is the closest to 1? (a) -2/7 (b) 0.5 (c) 4 (d) -11
b
Which is the nearest to 1? (a) -10 (b) -0.4 (c) 4 (d) 2/3
d
Which is the nearest to 2/217? (a) 2 (b) -4 (c) -87 (d) -3/8
d
What is the nearest to 1/2 in 0.04, -2/5, -0.6?
0.04
What is the closest to 2 in 3, 4/5, 1/3, 0.2?
3
What is the nearest to -0.4 in -20, 1/2, 1?
1/2
Which is the closest to 1093? (a) -1 (b) -5 (c) 5/3
c
Which is the closes
|
{
"pile_set_name": "DM Mathematics"
}
|
3*r**2 - 84865*a**2*b*r**3 - 8*a*b**3*r - 2*a*b**3 - b**2*r**3 - 7*b*r**2 - 12*r**3 wrt a.
-4*b**3*r**2 - 169730*b*r**3
Find the first derivative of -858*h**4 - 2*h**3 - h**2 - 15*h - 391733.
-3432*h**3 - 6*h**2 - 2*h - 15
Find the first derivative of -195*a**2 - 389*a + 143610.
-390*a - 389
What is the third derivative of -184924*f**3 - 260527*f**2?
-1109544
Find the third derivative of -128839*w**3 + 65*w**2 - 3*w + 22.
-773034
What is the second derivative of -44689*p**2 - 2990*p - 7 wrt p?
-89378
What is the first derivative of 124840*f**2 - 139483 wrt f?
249680*f
Find the third derivative of -19381*j**4 - 7*j**3 - 231195*j**2.
-465144*j - 42
What is the third derivative of -2*t**4 + 266183*t**3 - 7*t**2 + 40395*t?
-48*t + 1597098
Find the first derivative of -13*k**2*u - 19*k*u**2 + k*u + 189*k - 3490*u**2 + u - 64 wrt k.
-26*k*u - 19*u**2 + u + 189
What is the first derivative of 14862*n + 64092 wrt n?
14862
Find the third derivative of -234180*q**5 + 6057*q**2 - 24.
-14050800*q**2
What is the second derivative of -3*c*o**2*v + 2*c*o**2 + 25*c*o*v - 2*c + 14*o**2*v - 51*o**2 + 50*o*v wrt o?
-6*c*v + 4*c + 28*v - 102
Differentiate 107771*y**2 + 1052252 wrt y.
215542*y
What is the second derivative of -3*c**2*q**4 - 2*c**2 + 2*c*q**3 - 326*c*q**2 + 6*c*q - 2*q - 1 wrt q?
-36*c**2*q**2 + 12*c*q - 652*c
What is the second derivative of 606241*s**2 - 5*s - 120766?
1212482
What is the derivative of 7868*l*o - 52170*l - 9*o + 4 wrt o?
7868*l - 9
What is the third derivative of -32931*i**6 - 33062*i**2 wrt i?
-3951720*i**3
Differentiate 6932*n**4 + n - 8597 wrt n.
27728*n**3 + 1
Find the third derivative of 1703882*k**5 - 1126*k**2 + 157*k + 1.
102232920*k**2
What is the second derivative of k**2*z**4 - 52*k**2*z + 2560*k*z**4 - 117*k*z wrt z?
12*k**2*z**2 + 30720*k*z**2
Find the second derivative of 24037*t**4 - 39383*t wrt t.
288444*t**2
Find the third derivative of 829*l**5 - 2*l**4 - 45*l**3 + 40203*l**2.
49740*l**2 - 48*l - 270
Differentiate 2*h*j**2 + 1057*h*j*u - 3*h*j - 1015*j**2*u + j + 3*u with respect to h.
2*j**2 + 1057*j*u - 3*j
What is the second derivative of -110*k**3 + 501*k**2 - 1881488*k wrt k?
-660*k + 1002
Find the third derivative of 357547*i**5 + 1658*i**2 + 38 wrt i.
21452820*i**2
Differentiate -12*g**2 + 989*g - 76602 with respect to g.
-24*g + 989
Find the second derivative of -39*i**3*x - 244*i**3 + 3*i**2 + 1246*i*x - 10*x wrt i.
-234*i*x - 1464*i + 6
What is the first derivative of -132904*b**2 - 94991?
-265808*b
What is the second derivative of 21645*d**5 + 2*d + 19524?
432900*d**3
What is the second derivative of 225*d**2*h - 72*d**2 + 28*d*h + 2*d + 2*h + 3 wrt d?
450*h - 144
What is the first derivative of -28*g**4*q + 1941*g**3*q - g*q - 439792*q wrt g?
-112*g**3*q + 5823*g**2*q - q
Find the third derivative of -891354*m**3*p**2 - 2342*m**2 - 12*m*p**2 - p**2 wrt m.
-5348124*p**2
What is the first derivative of 1184297*y + 191131 wrt y?
1184297
What is the third derivative of -347*d**5 - d**4 - 44*d**3 - 54*d**2 - 1265 wrt d?
-20820*d**2 - 24*d - 264
Differentiate -72250*j**2 + 2*j + 321826 wrt j.
-144500*j + 2
Differentiate -84063*k**3 + 71508 with respect to k.
-252189*k**2
What is the first derivative of -2*k*w**2 - 5536*k*w + k - 192*w**2 + 17*w - 15 wrt k?
-2*w**2 - 5536*w + 1
What is the derivative of 2*a**2*f + 105*a**2 - 313*a - 10383*f wrt f?
2*a**2 - 10383
Differentiate 30*b*l*y + 14*b*l - 4894*b*y + 3*b + 2*l*y - 9*l - 22 wrt y.
30*b*l - 4894*b + 2*l
What is the second derivative of -8*i**5 + 682*i**4 - 152710*i?
-160*i**3 + 8184*i**2
Differentiate 40050*o**4 + 131992 wrt o.
160200*o**3
What is the second derivative of 2053261*p**2*s**2 - 6*p*s**2 + 8*p - 11878*s**2 wrt p?
4106522*s**2
What is the first derivative of -119788*t*z**3 + 2*t - 616744*z**3 wrt t?
-119788*z**3 + 2
Find the second derivative of 6038124*r**2 + 12617*r - 10 wrt r.
12076248
What is the first derivative of 17731*i**3*r - 2*i*r**2 - 3*r**2 + 37374 wrt i?
53193*i**2*r - 2*r**2
Find the second derivative of 1933*k**2*u**2 + 9509*k**2*u - 2*k**2 - k*u**2 - 1 wrt u.
3866*k**2 - 2*k
Differentiate -1453096*n - 716906.
-1453096
Differentiate -4*k*q**2 - 1624058*k + 303*q**3 - 2*q with respect to q.
-8*k*q + 909*q**2 - 2
What is the third derivative of -70964*t**6 + 10*t**4 - 565567*t**2 + t wrt t?
-8515680*t**3 + 240*t
Differentiate -1096699*p*q + 2328*p - 119 with respect to q.
-1096699*p
What is the second derivative of 205887*z**2 - 434343*z wrt z?
411774
What is the second derivative of -569*b**3*t**3 - 37758*b**3*t + 20*b**2*t**4 - 2*b*t wrt t?
-3414*b**3*t + 240*b**2*t**2
What is the third derivative of -3177*q**3 + 46424*q**2?
-19062
Find the second derivative of 2*d**4 + 5775*d**2 + 93758*d.
24*d**2 + 11550
What is the third derivative of 27678*x**4 + x**3 - 2592*x**2 + 11 wrt x?
664272*x + 6
Find the second derivative of -73336*z**5 + 3*z**2 + 282*z - 1064.
-1466720*z**3 + 6
What is the second derivative of -2*b**2*g**2 + 11*b**2*g - b*g**2 - 2*b*g + 1688*b - 206342*g**2 + 2*g + 3 wrt g?
-4*b**2 - 2*b - 412684
What is the second derivative of -d**5 - 34492*d**3 + 19963*d?
-20*d**3 - 206952*d
What is the second derivative of -2046771*o**3 - 40855*o - 35 wrt o?
-12280626*o
What is the derivative of -18942*a**4*y**2 - 49*y**2 + 55*y - 3 wrt a?
-75768*a**3*y**2
Find the third derivative of -142513*a**3*f**2 + 407653*a**2 - a*f**2 wrt a.
-855078*f**2
Differentiate 84848*f + 50673 wrt f.
84848
Find the third derivative of -133*m*s**4 + 2*m*s - 2*m - 23*s**5 - 15*s**3 - 4*s**2 - 2635*s + 2 wrt s.
-3192*m*s - 1380*s**2 - 90
Find the third derivative of -1567225*r**5 - 3787674*r**2.
-94033500*r**2
What is the third derivative of 567*x**5 - 172*x**3 + 5*x**2 + 543*x - 7?
34020*x**2 - 1032
Differentiate -129904*m**2 + 647448 with respect to m.
-259808*m
Find the third derivative of 6123*k**5 + 20*k**3 + 998184*k**2.
367380*k**2 + 120
What is the second derivative of -432*b**4*z - 11*b**2*z**3 + b**2*z - 56*b - 4*z**3 - 121*z wrt b?
-5184*b**2*z - 22*z**3 + 2*z
Find the second derivative of -2*q**5 - 60774*q**4 - 6*q + 650.
-40*q**3 - 729288*q**2
Find the third derivative of -1055*v**4 - 28*v**2 + 836*v - 1.
-25320*v
Find the second derivative of 9*g**5 + 2177*g**2*z + 3*g*z + 103678*g wrt g.
180*g**3 + 4354*z
Differentiate 53164*j**3*t + 2*j**3 - 2*j**2*t + 4*t - 17970 wrt j.
159492*j**2*t + 6*j**2 - 4*j*t
Find the first derivative of 18*a**2 + 2304*a + 140786 wrt a.
36*a + 2304
Find the third derivative of -303*a**6*v - 28*a**3*v + a**2 - 115*a*v + 65*a wrt a.
-36360*a**3*v - 168*v
Find the second derivative of -12*u**4 + 2228*u**3 - 2*u**2 + 496070*u.
-144*u**2 + 13368*u - 4
What is the third derivative of 2670*h*p**5 + 2*h*p**2 - 517*h*p - 8*h + 2*p**5 + 2*p**3 - 2*p**2 wrt p?
160200*h*p**2 + 120*p**2 + 12
Differentiate 25042*d - 276963.
25042
What is the second derivative of -961*q**4 + 14*q**3 - 1338689*q wrt q?
-11532*q**2 + 84*q
Find the second derivative of -114434*s**2 - s + 103621.
-228868
What is the second derivative of 29*r**3 - 377*r**2 - 92230*r?
174*r - 754
What is the third derivative of 195681*b**4 + b**2 + 4*b - 6941 wrt b?
4696344*b
What is the second derivative of -13040*v**2 - 1114*v wrt v?
-26080
What is the third derivative of -823*o**3*r**3 + 5*o**3*r**2 - o**3 + 936*o**2*r**3 + 27*o*r**3 wrt o?
-4938*r**3 + 30*r**2 - 6
Differentiate -17825*f - 32090 with respect to f.
-17825
What is the second derivative of 19*s**4 + 1824*s**2 - 5*s - 37981 wrt s?
228*s**2 + 3648
What is the third derivative of -11222*o**3*s**2 + 80513*o**2*s**2 wrt o?
-67332*s**2
Find the second derivative of 2742*f**4*m**3 - 19*f**4 - f*m**2 - f*m + 13*f + 202*m**3 wrt f.
32904*f**2*m**3 - 228*f**2
Find the first derivative of -65*a**3 - 9053*a**2 - 2*a + 4349034 wrt a.
-195*a**2 - 18106*a - 2
Find the third derivative of -d**2*j**3 - 9*d**2*j**2 - 1197*d**2 - d*j**2 + 155*j**3 wrt j.
-6*d**2 + 930
Find the first derivative of 2531*g**2 - 34*g + 148269 wrt g.
5062*g - 34
Differentiate 29194*a*s**2*w - 1212*s**2 - 2*s*w - 9 with respect to a.
29194*s**2*w
What is the first derivative of -88*b*f - b*m - 2383*b*p + 2*f*m*p - 2*f*m - 8*f + m wrt p?
-2383*b + 2*f*m
Differentiate -134048*n**4 + 161971 with respect to n.
-536192*n**3
Find the fir
|
{
"pile_set_name": "DM Mathematics"
}
|
25)).
-4*sqrt(5) + 1
Simplify (sqrt(7)*-2)**2*5 + (sqrt(98)/sqrt(2) + sqrt(49))/sqrt(7).
2*sqrt(7) + 140
Simplify (sqrt(81)/(sqrt(9)*1))/(sqrt(18)/sqrt(6)*-2).
-sqrt(3)/2
Simplify sqrt(72) + 1 + -3 + sqrt(72) + (sqrt(72) - (-1 + sqrt(72)))**2 + -4.
-5 + 12*sqrt(2)
Simplify -3 + (5*sqrt(1008)*2 + 1 + -1*sqrt(1008))**2.
216*sqrt(7) + 81646
Simplify sqrt(56)/(sqrt(8) + -3*sqrt(128) + sqrt(8)).
-sqrt(7)/10
Simplify ((sqrt(363) - -6*(-1 + sqrt(363))) + (sqrt(363) - (0 + sqrt(363))*1) + sqrt(363))**2.
-1056*sqrt(3) + 23268
Simplify -5*(-3 + -2*sqrt(1900)).
15 + 100*sqrt(19)
Simplify ((sqrt(22) + sqrt(22)*-2)*5)/sqrt(11) + -4.
-5*sqrt(2) - 4
Simplify (4 + (sqrt(50))**2)*-5.
-270
Simplify (-1 + sqrt(200) + -2 + 0)**2 + 1.
-60*sqrt(2) + 210
Simplify (sqrt(4)/sqrt(2)*5)**2 + -3 + sqrt(162).
9*sqrt(2) + 47
Simplify (-6*(sqrt(704) + 2) - sqrt(704))**2 + 5.
1344*sqrt(11) + 34645
Simplify 0 + (sqrt(2299) - (sqrt(2299)*2 - sqrt(2299)))**2 - sqrt(2299) - ((-6*-2*sqrt(2299))**2 + sqrt(2299) - sqrt(2299)).
-331056 - 11*sqrt(19)
Simplify (sqrt(119)*-2*4)/sqrt(7).
-8*sqrt(17)
Simplify (sqrt(242) + -1)**2 - (sqrt(18) + -1).
-25*sqrt(2) + 244
Simplify -4 + (sqrt(320) - (sqrt(320)*-1)**2) + sqrt(320) - (1 + sqrt(320) + sqrt(320)*-1).
-325 + 16*sqrt(5)
Simplify (sqrt(152)/sqrt(4))/sqrt(2) + sqrt(209)/(sqrt(22)/sqrt(2)).
2*sqrt(19)
Simplify 3 + -4*(sqrt(475)*-1)**2.
-1897
Simplify (1 + sqrt(700)*-1 - sqrt(700))**2.
-40*sqrt(7) + 2801
Simplify (sqrt(13) + 3 + 0 + sqrt(13) + -1*(sqrt(13) + 0 + sqrt(13) - sqrt(13)) + -2)**2.
2*sqrt(13) + 14
Simplify 1 + -4*((1 + sqrt(11))**2 + -1).
-43 - 8*sqrt(11)
Simplify 4*(sqrt(1100) + 3 - sqrt(11)) + -5.
7 + 36*sqrt(11)
Simplify -3*(sqrt(612) + sqrt(612)*-1 - (-2 + sqrt(51)/sqrt(3)))**2.
-63 + 12*sqrt(17)
Simplify -6*sqrt(63)/(-3*sqrt(9)).
2*sqrt(7)
Simplify (3 + sqrt(1539)*3)*-4.
-108*sqrt(19) - 12
Simplify (-2*(sqrt(11) + sqrt(275))*-2)**2.
6336
Simplify ((sqrt(180)/sqrt(5))/sqrt(9))/sqrt(2).
sqrt(2)
Simplify (sqrt(384)/sqrt(4))/(sqrt(150)/sqrt(3)).
4*sqrt(3)/5
Simplify (sqrt(22)/(sqrt(11)*2))**2 + -5 + -1*sqrt(2).
-9/2 - sqrt(2)
Simplify ((sqrt(216) - sqrt(24))*-1)/((sqrt(12) - sqrt(192))*-3).
-2*sqrt(2)/9
Simplify -2 + sqrt(40)/(2*sqrt(8))*-4.
-2*sqrt(5) - 2
Simplify 4 + (sqrt(12)/sqrt(6))**2 + sqrt(2) - sqrt(16)/sqrt(2).
-sqrt(2) + 6
Simplify (1*sqrt(13) + -3 - (sqrt(39)/sqrt(3) + 1)) + 5 + (sqrt(13) - sqrt(65)/(sqrt(10)/sqrt(2))).
1
Simplify (sqrt(18)/(sqrt(18)/sqrt(2)) + sqrt(2) + sqrt(2) - ((sqrt(2) - sqrt(8)/sqrt(4)) + 4)**2) + -3.
-19 + 3*sqrt(2)
Simplify 1*sqrt(60)/sqrt(432).
sqrt(5)/6
Simplify ((sqrt(2057) + 0 - sqrt(2057)) + 1)**2.
1
Simplify (1 + sqrt(242))*-1 - (sqrt(242) + -5*(sqrt(242) - (sqrt(242) + sqrt(242) + -1)))**2.
-8738 + 649*sqrt(2)
Simplify 6*(4*(-1 + sqrt(13)))**2*1.
-192*sqrt(13) + 1344
Simplify (3 + sqrt(448)*-2)**2.
-96*sqrt(7) + 1801
Simplify sqrt(44)/(sqrt(576)*1 - sqrt(4))*6.
6*sqrt(11)/11
Simplify (1*sqrt(156)/(sqrt(84)/sqrt(7)))**2.
13
Simplify sqrt(14)/(-4*(sqrt(2) + sqrt(2)*1)) - sqrt(42)/(sqrt(18)/sqrt(3)*5).
-13*sqrt(7)/40
Simplify (-4 + (sqrt(3) + -1*sqrt(3) - sqrt(3)))**2*-1.
-19 - 8*sqrt(3)
Simplify (sqrt(3) + (2*(0 + sqrt(3)) + sqrt(3))**2 + (-2*sqrt(27))**2)*1.
sqrt(3) + 135
Simplify 3 + (sqrt(1539) - (sqrt(1539) + 1)*-6)**2.
756*sqrt(19) + 75450
Simplify (2*sqrt(600))/(sqrt(162)/sqrt(9)).
20*sqrt(3)/3
Simplify 5*sqrt(76)/sqrt(4) - -2*sqrt(76).
9*sqrt(19)
Simplify (1*(1 + sqrt(425)))**2.
10*sqrt(17) + 426
Simplify (sqrt(2) - (-4 + sqrt(10)/sqrt(5)))*-3.
-12
Simplify 0 + 5 + (-1 + sqrt(7))**2.
-2*sqrt(7) + 13
Simplify ((5*(sqrt(170)/sqrt(5) + sqrt(34)))/(2*sqrt(2)*2 + sqrt(2)))**2.
68
Simplify (1*sqrt(3264))/(sqrt(27)/sqrt(81)).
24*sqrt(17)
Simplify sqrt(252)*-1 + (sqrt(343)*-1)**2 + sqrt(7).
-5*sqrt(7) + 343
Simplify ((sqrt(304) + 2 + sqrt(19) - sqrt(19)) + 2)**2.
32*sqrt(19) + 320
Simplify 1*sqrt(243)*1.
9*sqrt(3)
Simplify (1*sqrt(77)*4 + sqrt(77))/((sqrt(28) + sqrt(56)/sqrt(2))/sqrt(4)).
5*sqrt(11)/2
Simplify ((sqrt(2448) + -1 + sqrt(2448) + 4 + sqrt(2448) - (2*sqrt(2448) + 3 - sqrt(2448)))*2)**2.
39168
Simplify (-1*(sqrt(304) - 1*sqrt(304)) + -2 + sqrt(304) + -1)**2*1.
-24*sqrt(19) + 313
Simplify sqrt(33)/sqrt(12) + sqrt(11) + (0 + sqrt(11))*-5 + -1.
-7*sqrt(11)/2 - 1
Simplify 0 + (sqrt(1152) - ((sqrt(1152)*1 - sqrt(1152)) + sqrt(1152)) - sqrt(1152))/(sqrt(81)*6).
-4*sqrt(2)/9
Simplify sqrt(704)/sqrt(4) + -3 - (5 + (sqrt(11)*1)**2 - (1 + sqrt(11))*4).
-15 + 8*sqrt(11)
Simplify sqrt(243) + -4 - 5*sqrt(18)/sqrt(6).
-4 + 4*sqrt(3)
Simplify ((0 + sqrt(50) + -3)*1*6)**2.
-1080*sqrt(2) + 2124
Simplify sqrt(34)/(sqrt(2) - sqrt(8)*-2).
sqrt(17)/5
Simplify sqrt(325) + (-1*sqrt(325) + sqrt(325) + 1)**2 + 2.
3 + 5*sqrt(13)
Simplify (sqrt(17) + sqrt(272) + 0)**2*6 + (sqrt(187) - (sqrt(187) + 1*sqrt(187)*1 - sqrt(187) - sqrt(187)))/sqrt(11).
sqrt(17) + 2550
Simplify -4*(sqrt(176)*1 + -4).
-16*sqrt(11) + 16
Simplify (-1*(sqrt(99) - sqrt(99)*1) - sqrt(99))/((sqrt(324)*1 - sqrt(324)) + sqrt(9)).
-sqrt(11)
Simplify 2*(-2*(-1 + sqrt(5)) + (0 + sqrt(605))**2).
-4*sqrt(5) + 1214
Simplify ((sqrt(20) + (-2*sqrt(80))/sqrt(4))/(sqrt(100) - sqrt(100)*-2 - sqrt(4)))**2.
5/196
Simplify (-1 + 3 + -4*sqrt(1539))**2.
-144*sqrt(19) + 24628
Simplify (2*sqrt(112) + 5)**2.
80*sqrt(7) + 473
Simplify (2 + 3 + -2*sqrt(5))**2 + (sqrt(180)*1*-1 + sqrt(180) + sqrt(180))**2.
-20*sqrt(5) + 225
Simplify -4 + -6*(5 + (sqrt(2) - (sqrt(2) - sqrt(8)/sqrt(4)))).
-34 - 6*sqrt(2)
Simplify sqrt(36)/sqrt(300) + 0.
sqrt(3)/5
Simplify (sqrt(171)/sqrt(3)*1)/(2*sqrt(108)).
sqrt(19)/12
Simplify (-4 + -2*sqrt(2) - sqrt(24)/sqrt(108))**2.
56*sqrt(2)/3 + 242/9
Simplify 4 + (2*sqrt(13) + sqrt(13))**2 + 1.
122
Simplify (-5*(sqrt(88) - sqrt(88)*-1))/(sqrt(968) - (sqrt(968) + sqrt(968) + (sqrt(968) - sqrt(968)*2)) - sqrt(8))*3.
30*sqrt(11)
Simplify (sqrt(32) + -2)**2 + sqrt(72)*-6.
-52*sqrt(2) + 36
Simplify sqrt(12)/(1*sqrt(12)/sqrt(3)).
sqrt(3)
Simplify (sqrt(120)/(sqrt(8)*1))/(3*sqrt(10)/sqrt(2) + sqrt(5) + sqrt(5)).
sqrt(3)/5
Simplify (sqrt(95) - 2*sqrt(95)*-1)/((sqrt(90)/sqrt(3))/sqrt(6)).
3*sqrt(19)
Simplify (sqrt(242) + -1 - sqrt(242))**2 - ((sqrt(32))**2 + 0).
-31
Simplify sqrt(325) - 6*(sqrt(325) - (sqrt(325) + sqrt(325) + -1 + sqrt(325))**2).
-205*sqrt(13) + 17556
Simplify -3*(2 + sqrt(63) - (sqrt(56)*1)/sqrt(8))**2.
-96 - 24*sqrt(7)
Simplify ((6*sqrt(132)*-1 - sqrt(132)) + sqrt(132))/(1*sqrt(972)) + 3.
-2*sqrt(11)/3 + 3
Simplify (-1*sqrt(847))**2 + -5.
842
Simplify -1*sqrt(55)/sqrt(5) - (5 + 2*sqrt(11)).
-3*sqrt(11) - 5
Simplify (sqrt(22) - (sqrt(22) + (sqrt(22) - sqrt(44)/sqrt(2))*3 - sqrt(22)))/(sqrt(121)/sqrt(99)).
3*sqrt(2)
Simplify -1*sqrt(50)/(-2*sqrt(1440)).
sqrt(5)/24
Simplify (0 + sqrt(117))**2 + 4.
121
Simplify 1 + sqrt(343) + sqrt(7) + -1 + -2.
-2 + 8*sqrt(7)
Simplify (sqrt(12) + (sqrt(432)*1 - sqrt(12)))/(sqrt(28)/(sqrt(28)/sqrt(4))).
6*sqrt(3)
Simplify (1*sqrt(405) - sqrt(405) - sqrt(405)) + -4 - sqrt(450)/sqrt(90).
-10*sqrt(5) - 4
Simplify (sqrt(204) + (sqrt(204)*-1 - sqrt(204))*4)/(sqrt(84)/(sqrt(21)/sqrt(3))).
-7*sqrt(17)
Simplify -2 + -2 + sqrt(2) + 1 + sqrt(8).
-3 + 3*sqrt(2)
Simplify (6*sqrt(847))**2 - (sqrt(21) + sqrt(168)/sqrt(8))/sqrt(3).
-2*sqrt(7) + 30492
Simplify 1 + (sqrt(133)/sqrt(7))**2 + (sqrt(114)/sqrt(6))**2 + -5.
34
Simplify (-2 + (sqrt(180)/sqrt(6))/sqrt(6))**2.
-4*sqrt(5) + 9
Simplify -1*(sqrt(133) - (sqrt(133) + (sqrt(133) + (sqrt(133) + 3*sqrt(133) + sqrt(133))*6 - sqrt(133))))/sqrt(7).
30*sqrt(19)
Simplify 3 + sqrt(152)/sqrt(8) + 2.
sqrt(19) + 5
Simplify ((sqrt(13) - (1 + sqrt(13)*-2))*-4)**2.
-96*sqrt(13) + 1888
Simplify sqrt(13) + ((sqrt(65)*2)/sqrt(5))**2 + (sqrt(13) - ((sqrt(130)*-1)/sqrt(10))**2).
2*sqrt(13) + 39
Simplify (4 + 1*sqrt(567) + (sqrt(567) - (4 + 1 + sqrt(567))))**2.
-18*sqrt(7) + 568
Simplify (sqrt(720)*-2)**2*-4.
-11520
Simplify sqrt(75) - (sqrt(75)*1)**2 - -2*(sqrt(3) - sqrt(75)).
-75 - 3*sqrt(3)
Simplify -2 + (1*1*sqrt(13) - (sqrt(208))**2*-5).
sqrt(13) + 1038
Simplify (((-2*sqrt(68))/sqrt(2))/sqrt(2))**2.
68
Simplify (-6*(1 + sqrt(833)))**2 + sqrt(34)/(sqrt(2)*-1 - sqrt(2)) + 4.
1007*sqrt(17)/2 + 30028
Simplify sqrt(143)/(sqrt(33)/sqrt(3)*4) - ((2*sqrt(78))/sqrt(6) - (2*sqrt(208) + sqrt(13))).
29*sqrt(13)/4
Simplify (sqrt(384) - (-2*sqrt(384) - sqrt(384)))/(sqrt(48)/(sqrt(12)
|
{
"pile_set_name": "DM Mathematics"
}
|
, 3
Suppose -7*w + 1 = -825. What are the prime factors of w?
2, 59
Let u(m) be the first derivative of m - 1 + 1/2*m**2. What are the prime factors of u(2)?
3
Let s = 67 + -25. What are the prime factors of s?
2, 3, 7
Let w(n) = n**3 - 16*n**2 - 8*n - 7. What are the prime factors of w(17)?
2, 73
Let d(p) = 2*p + 9. Let a be d(-9). What are the prime factors of a/6*-2*1?
3
Let l(u) be the third derivative of u**4/24 - u**3 + 2*u**2. Let v be l(11). Suppose 14 = -v*r + 79. What are the prime factors of r?
13
Suppose -2*o + h + 18 + 3 = 0, -5*h + 16 = o. Let j(l) = l**2 - 9*l - 6. What are the prime factors of j(o)?
2
Let m = 10 + -8. What are the prime factors of (-15)/m*(-2)/3?
5
Let y(r) = 30*r + 3. What are the prime factors of y(7)?
3, 71
Let a(f) = f**3 - 6*f**2 - 5*f - 4. Suppose -y + 17 = -2*k - 0*k, -4*y = -k - 33. Let w be a(y). Let d = -6 + w. What are the prime factors of d?
2
Let h = -14 + 23. Let u(r) = -r**3 + 8*r**2 + 11*r - 11. What are the prime factors of u(h)?
7
List the prime factors of ((-1)/(-2))/(3/(-1350)*-3).
3, 5
Let k = 12 + -10. Suppose 0 = -k*a + 5*a - 6. What are the prime factors of 20 + (1 - a)*1?
19
What are the prime factors of 140/7*(-48)/(-15)?
2
Let r = 274 - 131. List the prime factors of r.
11, 13
Suppose -5*j + 23 = 13. Suppose -3*z + j*z = -5*b - 54, -2*z - 5*b + 93 = 0. What are the prime factors of z?
7
Let g(y) = -y**2 - 9*y + 3. Suppose 2*x + 10 = -0. What are the prime factors of g(x)?
23
Let s(j) = -2*j**3 - 8*j**2 - 5*j - 3. Let d be s(-5). Suppose 2*v + 2*i = 7*i + 23, 5*v + 2*i - d = 0. Suppose 1 - v = -n. What are the prime factors of n?
13
Suppose -2*d + 30 = -o - 3*o, -5*d + 68 = -3*o. Let m = 32 - d. What are the prime factors of m?
19
Let j be (-12)/10*(-5)/2. Suppose -j*h = h - 24. List the prime factors of h.
2, 3
Let r(v) = 14*v - 7. List the prime factors of r(8).
3, 5, 7
Suppose -3*r = 2*q + r - 246, -2*q = -5*r - 210. Suppose -3*v = 2*v - q. List the prime factors of v.
23
Let b(a) be the first derivative of -a**4/4 + 5*a**3 + 17*a**2/2 - 4*a - 2. List the prime factors of b(16).
2, 3
Let r(l) = -4*l**2 + 34*l + 5. List the prime factors of r(5).
3, 5
Let g(q) = -q**3 + q - 1. Let d be g(2). Let t = d + 0. What are the prime factors of (t*(-1)/(-1))/(-1)?
7
Suppose 0 = -k + 15 + 18. List the prime factors of k.
3, 11
Suppose 3*d + d = 256. List the prime factors of d.
2
Let g(l) = 2*l + 18. What are the prime factors of g(0)?
2, 3
Let h(b) = -b + 4. Let k be h(5). List the prime factors of 3 + (-1)/(k/7).
2, 5
Let n be 1/(-4) + (-18)/(-8). Suppose -22 = -n*w - 4*p, -w - 2*w + p = -19. What are the prime factors of w?
7
Suppose 4*s = -0*s - 16. Let y = s + 24. What are the prime factors of y?
2, 5
Let a(x) be the third derivative of x**6/120 + x**5/12 + x**4/12 - x**3/2 - x**2. Let c be a(-4). List the prime factors of (c + (2 - 2))*2.
2, 5
Let i(o) = -20*o - 12. What are the prime factors of i(-4)?
2, 17
Let x = 16 - -4. Suppose 0 = -5*f + 110 + x. What are the prime factors of f?
2, 13
Suppose -5*j = -3*j + 2*n - 136, -2*n - 214 = -3*j. What are the prime factors of j?
2, 5, 7
Suppose 25 = -4*n - n. Let t = 1 - n. What are the prime factors of t?
2, 3
List the prime factors of (-8)/56 + 422/14.
2, 3, 5
List the prime factors of 20 + (3 - (-4)/4).
2, 3
Let y = -4 + 6. List the prime factors of 2*6*y/4.
2, 3
Let q be (-3)/(-18) - (-3 + 273/18). Suppose -83 = 3*n - 5*y, 4*n = 2*y - 123 + 31. Let s = q - n. List the prime factors of s.
3
Suppose 5*p - 8 = 4*p. Suppose p*g = 11*g - 60. List the prime factors of g.
2, 5
Let i(w) = -3*w + 3. Let q be i(3). Let f be q/(-5)*(-120)/18. Let p = f - -15. List the prime factors of p.
7
Let j = 11 - -3. List the prime factors of j.
2, 7
Let j(x) = x**3 + x**2 + 2. Let i be j(-2). Suppose 5*z = 4*k - 52, 4*z = -0*k - 3*k + 8. Let b = k - i. List the prime factors of b.
2, 5
Let h = -393 - -640. What are the prime factors of h?
13, 19
Suppose 0 = 9*d - 7*d. What are the prime factors of 18 - (-1 - (d - -2))?
3, 7
Suppose d + j + 1 - 27 = 0, -5*d = -4*j - 157. What are the prime factors of d?
29
Suppose 4 = -q - q. List the prime factors of (-1)/(30/16 + q).
2
Suppose 4*n = -2*t - 3*t - 50, 2*n = -3*t - 28. Let p = t + 53. Suppose p + 13 = 5*d. List the prime factors of d.
2, 3
Let h = 47 - 8. List the prime factors of h.
3, 13
Suppose 0*b = -2*b + 238. List the prime factors of b.
7, 17
Let t be (-1 - 3)*(-9)/12. Suppose -2*m = -3*q + 80, -4*m - 74 = -t*q + m. What are the prime factors of q?
2, 7
Suppose 2*b = 4*g - 840, 4*g + 0*g = -2*b + 848. What are the prime factors of g?
211
Let s be (-2 - 0) + 2 + -2. Let o be 0*(s + 3 + -2). Let x(j) = -j + 4. List the prime factors of x(o).
2
What are the prime factors of (75/(-9))/((-4)/24)?
2, 5
List the prime factors of 170*1 - (9/(-1) - -7).
2, 43
Suppose 3*c + 0*w - 4*w - 17 = 0, -10 = 5*w. Let z(u) = 2*u**3 - 3*u**2 - 5*u + 2. List the prime factors of z(c).
2, 7
Let t be (0 + 8)/(6/3). Let b be 1/t + 42/(-8). Let a(z) = z**2 + 2*z - 5. What are the prime factors of a(b)?
2, 5
Let o be (-1)/(4/5 + -1). Let r(m) = m**2 + m - 1. Let w(s) = -5*s**2 + s - 2. Let n(l) = -4*r(l) - w(l). List the prime factors of n(o).
2, 3
Suppose 0 = 5*v - 2*p - 97, -4*v = -9*v - 5*p + 90. Suppose 2*k - v = 47. List the prime factors of k.
3, 11
Suppose 2*q = -4*c + 166, -4*q + 332 = -0*c + 2*c. List the prime factors of q.
83
Let r(k) = k**3 - 15*k**2 + 20*k + 19. List the prime factors of r(14).
103
Suppose 0*w = 4*a - 3*w - 8, -2*w = -a + 2. Suppose -a*c + 4 = -2. Suppose 3 = -c*z, -i + 2*z + 1 = -6. What are the prime factors of i?
5
Let b = 259 + -168. List the prime factors of b.
7, 13
Suppose 0 = -2*o - t + 21, -5*o - 4*t + 19 + 41 = 0. List the prime factors of o.
2
Let n = 12 - 18. Let m = 10 + n. What are the prime factors of (-1)/((8/(-10))/m)?
5
Suppose 12*x = 9*x + 18. List the prime factors of x.
2, 3
Let g be (-1 - 0)*(-4 + 1). Suppose -g*r = x - 7, -2*x = r + 2*x + 16. Suppose l = -r - 1, 2*a = l + 33. What are the prime factors of a?
2, 7
Suppose 123 = 4*k - 37. What are the prime factors of k?
2, 5
Let f(a) = a**3 - 6*a**2 - 4*a + 3. Suppose 5*n - 14 - 21 = 0. What are the prime factors of f(n)?
2, 3
Suppose 2*l - 30 = -b + 3*b, 4*b - l = -60. Let u be (-6)/b + 16/10. Suppose 0 = 5*j - j - 2*k - 14, -u*k + 1 = -j. What are the prime factors of j?
5
Suppose -2*t + 24 = 3*h + t, 2*h - 46 = 4*t. Let d = 19 - h. What are the prime factors of d?
2, 3
List the prime factors of (-12)/(-28) + (-1024)/(-28).
37
Suppose 26 = -3*h - 91. Let f = h + 57. What are the prime factors of f?
2, 3
Let s = -1 - -4. Suppose -46 = -4*t + s*r, -t - 5*r + 24 = 1. Let i = t - 2. What are the prime factors of i?
11
List the prime factors of 109 + ((-1 - 1) + -2)*-1.
113
Let y = -114 + 193. What are the prime factors of y?
79
Let s(m) = -m**3 - 8*m**2 + m - 11. List the prime factors of s(-9).
61
Let k(g) = 2*g + 20. What are the prime factors of k(-9)?
2
Let h(l) = -l**3 + 3*l**2 + l - 3. Suppose -30 = -4*n - n + 5*i, 3*n - 4*i - 21 = 0. Let q be h(n). Let f = 13 - q. List the prime factors of f.
13
Let b(y) = -y**3 + y. Let t(m) = -6*m**2 - 2*m + 6. Let w(d) = -b(d) + t(d). Let o be w(7). Let u = -22 + o. What are the prime factors of u?
2, 3
Let f(h) = -2 + h + 7 - 3 + 6. Let v be f(-6). Suppose 6*r - 48 = v*r. What are the prime factors of r?
2, 3
Let d = 5 - 2. Suppose d*g - 20 = -g. What are the prime factors of g?
5
Let i be 2 + (-6)/3 - 2. Let m be i/(-5) + 26/10. Suppose n + 0*n = m. List the prime factors of n.
3
Let u be 0 + 2 + 0 + -2. Suppose 0 = 2*z + 4*p + 4, 0*z - 2*z - 2*p = u. Suppose 13 = 2*a - 5*g, 0*g + z*g + 6 = a. List the prime factors of a.
2
Suppose -1 + 85 = 3*c. List the prime factors of c.
2, 7
Let z be 84/10 - (-2)/(-5). Let b = z + -4. Let j(k) = -k**2 + 6*k - 1. List the prime factors of j(b).
7
List the prime factors of -9*(-4)/12 - -24.
3
Let x = -2 + 1. List the prime factors of (1 - x) + 6/6.
3
Let z(v) = 3*v + 1. Suppose -3*k = -2*k - 5. Let n(a) = -3*a - 2. Let u(h) = k*z(h) + 4*n(h). List the prime factors of u(6).
3, 5
What are the prime factors of ((-2)/2)/(2 + (-2664)/1328)?
2, 83
Let o(h) = 1. Let n(m) = -10*m - 6. Let a(k) = -n(k) - 6*o(k). Let j be a(2). Suppose 3*d = 7*d - j. Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
. Is m at least -2?
False
Suppose 4*k + 5*l - 110 = -25, 2*l = 5*k - 98. Suppose k = 5*v + 5*p, -4*v - 1 = 3*p - 14. Let y = 1 - 1. Which is smaller: v or y?
y
Let t(o) = o**2 + 5*o - 6. Let b be t(-6). Which is bigger: b or -7/6?
b
Let m = 1889/5525 + 4/221. Is -1 greater than m?
False
Let n = -235/2 + 120. Let u = -3 + n. Let j be -1 - (1 + (1 - 1)). Is u at most j?
False
Let s = 1 + 4. Let o = s - 9. Let b = -3 - -2.8. Is o != b?
True
Suppose 43 = 5*g - 17. Let j be (-288)/(-27) - 1/(-3). Is g != j?
True
Let s = -0.003 - -0.103. Which is smaller: 0.19 or s?
s
Let o = -19 - -21. Is o at least as big as 2?
True
Suppose -a - 8 = -6. Which is smaller: a or -12/11?
a
Let f = -3 - -5. Let u = 0.08 - 0.04. Let v = u + -0.14. Which is smaller: f or v?
v
Let q(i) = i**3 - 3*i**2 - 4*i + 2. Let w be q(4). Suppose 5*k + 26 = 4*g, 2*g = -w*g - k + 14. Which is bigger: g or 3?
g
Suppose -5*r - 3*h = h + 22, -4*r - 5*h - 23 = 0. Let d = -62 - -2789/45. Let v = d - 259/495. Is r <= v?
True
Let k be (105/(-9))/(5/15). Is -34 <= k?
False
Suppose 5*p - 11 = 3*b + p, b + p - 8 = 0. Suppose -5*q - 22 = 2*r, -q + b*r + 23 = -6*q. Which is bigger: -3 or q?
-3
Let o = 27 + -26. Which is greater: -4/17 or o?
o
Let i be ((-14)/28)/((-3)/2). Is i <= 16?
True
Let x(m) = 3*m - 1. Let u be x(1). Let p = 13 + 3. Let k be u/5*(-4)/p. Is k at least -1?
True
Let w be (1 + -6 + 3)/7. Let p(o) = 4*o + 1. Let c be p(1). Suppose 25 = c*k, 15 = 3*y + 2*y + 3*k. Is y equal to w?
False
Let z be 15/(-2) + 2/(-4). Suppose 8*t + 39 = -4*m + 5*t, 2*m + 17 = t. Which is smaller: m or z?
m
Let l be 0 - (100/44 - 1). Let y = l - -53/33. Is y less than or equal to -1/3?
False
Suppose 5*a - 7*a = -5*s - 20, 5*s = -3*a + 5. Let r be ((-6)/(-8))/(3/24). Let k(l) = l - 7. Let n be k(r). Is s < n?
True
Let u be (-90)/(-21) - (-2)/(-7). Suppose 4*t = -2*k + 146, -u*k - 4*t = -3*t - 299. Let l = k - 451/6. Is l != 0?
True
Let r(b) = 0*b + b + 1 - 1 - 5. Let c be r(5). Let x = -1/125 - 119/750. Is c > x?
True
Let q(j) = -2*j**2 - 2*j - 5. Let w be q(-4). Let a = 146/5 + w. Which is bigger: a or -2?
a
Let p(l) = -7*l**2 - 4*l + 2. Let t be p(3). Let u be -1 + t/(-18) + -3. Is -1 at least as big as u?
False
Let d = -970 - -3019/3. Let a = d - 37. Suppose -v = -5*s - 39 + 14, -20 = v + 4*s. Is a at most v?
True
Let i be (0 - -1 - -2) + -5. Which is greater: i or -3/5?
-3/5
Let z = -33/238 - 5/34. Which is greater: 3/14 or z?
3/14
Let d be (0 - -1)*(-3 + 2). Let v(m) = 2*m - 12. Let x be v(6). Which is smaller: d or x?
d
Let d = -120 + 961/8. Let a = 222 - 224. Is d at least a?
True
Let t = -29 - -27. Which is greater: -5 or t?
t
Suppose 0*w - 3*w - 6 = 3*s, 4*w - 34 = 2*s. Let u = -6 - s. Which is smaller: u or -3/7?
-3/7
Let l be ((-588)/10)/((-5)/(-50)). Let k = l + 7638/13. Which is smaller: 0 or k?
k
Suppose 5*r = -38 + 8. Which is greater: r or -11?
r
Let r(x) = 3*x - 5. Let f be r(5). Let z(h) = -h**2 + 11*h - 12. Let b be z(f). Which is bigger: 1 or b?
1
Let c be -2*(-2 + 3)/(-2) - 70. Is -68 greater than or equal to c?
True
Suppose -9*p + 236 = 83. Is 33/2 at least p?
False
Let p be 2 + -8*8/30. Is p <= -12?
False
Let d = 0.05 - 0.25. Let z = 0 - -3. Suppose 0 = -z*u - 2*a - 3, -4*a + 2 = 2*u + 12. Which is smaller: d or u?
d
Let s = 751/36 + -208/9. Let y = s + 3/4. Suppose 0 = 4*u + 12, 0 = -2*d + 4*u - 0 + 6. Are y and d unequal?
True
Let j = -20 - -25. Suppose 5*h + j*u = 50, -4*h = -2*h - 2*u. Is 7 != h?
True
Let d be -15*(2 - (-32)/(-12)). Does d = 19/2?
False
Suppose 3*s = 3*u + 190 - 532, -3*u + 327 = 2*s. Let x be u/105 - 1/(-7). Which is bigger: x or 1?
x
Let r = -0.04 + 0.01. Let c = 0.23 - 0.3. Let v = c + r. Which is bigger: -7 or v?
v
Suppose 5*m = 2*m - 2*n - 11, 2*m - 3*n + 29 = 0. Is m < -8?
False
Let b be 1/(-3) - (-4)/3. Let h = -7/16 + 19/16. Is b >= h?
True
Suppose 0 = 5*a - 19 + 49. Let y = a + 5. Which is bigger: y or 1/4?
1/4
Let l = -3093 + 349507/113. Are l and -1 unequal?
True
Let u be (-1)/(-4) + 81/(-276). Which is greater: u or -1?
u
Let h(j) = j - 2. Suppose -2*s - d = -0*d - 8, -5*d = -5*s + 20. Let l be h(s). Suppose -2*m - m - w - 7 = 0, 0 = 3*m + l*w + 5. Is m less than -3?
False
Let k(m) = m + 8. Let s be k(-11). Let b = -1 - s. Suppose v + v + b = 0. Is -1/2 at most as big as v?
False
Suppose 0 = -3*u + 5*b + 18, 3*b + 8 = u - 2. Suppose -f + 0 - u = 0. Which is smaller: 0.1 or f?
f
Let p be -3*(2 - 1)*-69. Suppose 3*r + 39 = p. Suppose 4*u - r = 5*t, -t = -u - 0*t + 13. Do u and 10 have different values?
True
Let g be (-51)/6*-1*-2. Let y = 21 + g. Which is greater: 0 or y?
y
Let m = -58 + 59. Is m smaller than 5/14?
False
Let g = -12 + 11.95. Is g equal to 0?
False
Suppose -m + 30 = 2*n, n - 13 = -4*m + 9. Which is bigger: 16 or n?
16
Let c be 4 + -2 + (-1 - -3). Suppose 0 = -w - 3*s - 15, -c*s - 28 = -2*w + 6*w. Is w equal to 2/5?
False
Let y(x) = -4*x + 4. Let t be y(6). Let s = t + 22. Let a(n) = -n**3 + 3*n**2 - 1. Let z be a(1). Is z less than s?
True
Suppose d + 7 = -3*i - 0, -2*d - 5*i = 17. Is -17 < d?
True
Suppose -78*s = -77*s - 17. Is 17 > s?
False
Let j = -10 - -2. Let n be 18/(-27) + j/(-6). Which is bigger: n or 7?
7
Let c be ((2 - -1 - 4)*3)/(-1). Let r be 2/2*11 - 0. Suppose -c*v + r = -4*n, n = -4*v - 2*n - 27. Which is smaller: -2 or v?
v
Suppose 0 = -2*q + 10, 67 = 3*m - 0*m + 5*q. Let f = m - 6. Suppose 2*k = -2*k - f. Which is greater: 0 or k?
0
Let y = 0.44 + 0.06. Let q = 2.5 - y. Which is greater: q or -3?
q
Let x = -534/5 - -110. Let o = 23 + -20. Which is smaller: o or x?
o
Let r be 4/4 - (-10)/(-8). Suppose -3*m - 2*v - 10 = 0, -3*m = -0*m - 3*v + 15. Let w be m/(-10)*10/14. Which is bigger: w or r?
w
Let j = 26 + -12. Which is smaller: j or 13?
13
Suppose 6*w - 2*n + 47 = w, 0 = 5*w - 3*n + 43. Let l be 7/3 + (w - -9). Suppose 2*t = -0*t + 2. Is l at least as big as t?
False
Suppose 4*c - 3 = 7*c. Is 4/9 smaller than c?
False
Let j be ((-3)/(3/(-2)))/(42/(-12)). Which is smaller: 0 or j?
j
Let a = -66047/101780 - -155/727. Let f = 3/20 + a. Let n(i) = -i**2 + 8*i + 10. Let p be n(9). Does p = f?
False
Suppose -n - 96 = 2*n. Let r = n + 259/8. Which is greater: 0 or r?
r
Suppose -2*d - 2*b + 14 = 2*b, -5*d + 2*b = -23. Let g = d + -4. Suppose 4*j + 0 = 8. Is j != g?
True
Suppose 2*x + 0*x = -10. Let k be (-1)/(-5)*x/4. Is k bigger than -1?
True
Suppose 0 = -0*r - r - 6. Is r less than -6?
False
Let y = -8 + -2. Let g = 12 + y. Suppose -2*v + 6*v = 0. Is g > v?
True
Let n = -0.35 - 26.65. Let v = -25.05 - n. Let p = -0.05 - v. Which is smaller: p or 0.1?
p
Suppose p + 1 + 2 = 0, i + 5*p + 14 = 0. Let n be (-3 + i)*-1 + 1. Suppose 4*a + 0*j = -j - n, -5*a = -3*j + 25. Is a > -2?
False
Suppose 0*w = 2*w - 4. Let y = 8 + -6. Suppose y*u - 5 + 1 = 0. Is u at least w?
True
Let g = -52 + 33. Are -19 and g non-equal?
False
Let f be -2 - (2 - 8) - 2. Is f <= 1?
False
Let a(c) = -2*c + 9. Let x be a(-4). Which is bigger: x or 16?
x
Let f be 6/3 + (1 - -1). Let y = f - 2. Let h = 1 - 3/2. Which is smaller: y or h?
h
Let c be ((-2)/(-2))/(11/572). Which is bigger: 53 or c?
53
Suppose 0 = 4*d - 16, 2*z + 18 = d + 4*d. Let f(g) = -g**3 - 4*g**2 + 3*g - 1. Let m be f(-5). Let t be 12/m*z/(-4). Which is smaller: 0 or t?
t
Let r(k) = -k**2 + 12*k - 26. Let m be r(9). Suppose 3*g - 2*g = 4. Suppose -2*l = 2*l - g. Is m at most l?
True
Let s(p) = p**2 - 3*p - 8. Let u be s(6). Let z be u/(-5)*1/(-2). Let n be (-2)/(-3)*3/(-11). Which is greater: n or z?
z
Let n = 82832/55 + -1506. Which is smaller: n or -1?
-1
Suppose 2*f - 1500 = -3*f - 2*c, f = -5*c + 277. Let a = 896/3 - f. Which is bigger: -3 or a?
-3
Suppose -s = -4*y + 8, 6*s - s - 29 = -3*y. Suppose 2*b + 10 = -y*b. Let r be b - 1*(-3 - -2). Is r != 0.2?
True
Let a be -2 - -1 - (-72)/60. Suppose 2*w = w + 3. Suppose -3*m + 10 = -4*l, 3*l + 4*m = 2 + w. Does a = l?
False
Let f = 23 + -8. Let y = 16 - f. Are 2 and y nonequal?
True
Suppose d = -3*r - 7, 2*r = -2*d + 6*d - 14. Which is bigger: r or -4?
r
Let b = -56 + 396/7. Let o = 6/35 - b. Let g be 3*-1*2/6. Which is bigger: o or g?
o
Suppose 8 = d + 2*v, -2*d + 3*v - 12 = -0*d. Let i(k) = -26*k - 12. Let y be i(-12). Let r = y - 5102/17. Is r bigger than d?
False
Let m = 1 - 6. Is m greater than -3?
False
Let v = -4 + 2. Let x = -30
|
{
"pile_set_name": "DM Mathematics"
}
|
32)).
-14
Evaluate 91 + (-151 - -66 - -17).
23
Calculate -83 + -9 + (-479 - -557).
-14
What is -13 + (22 - 7) - -16?
18
What is the value of 1 + 6 + 13 + -17 + -4 - (2 - 7)?
4
23 + -97 + -3 - -40
-37
What is -47 + 1 - (-53 + 37 + 5) - 3?
-38
Calculate (23 - 11) + 11 + -6 - (1 + -4).
20
Calculate -48 + (17 + -32 - -73) + 89 + 1.
100
Calculate (1 - 1 - 76) + -6 + 30 + -10.
-62
What is (-11 - (-14 - (86 + -19))) + -31 + 21?
60
What is (2013 - 1997 - ((1 - -22) + 1)) + -33?
-41
What is -65 + (-539 + 533 - (0 + (0 - 26)))?
-45
-100 + 178 + (-67 - 63)
-52
Evaluate (-2 - (3 + 23)) + (35 - (37 - (3 - 8))).
-35
((-5 - 3) + (-7 - (-22 + -7)) - -86) + -14
86
Calculate (0 - 7) + (1 - 31) + (-71 - -113).
5
What is 7 + (13 - 5) + (2 - -16) + -15?
18
17 - (28 - ((-44 - -13) + 14 + 2))
-26
Calculate 18 + (-15 - -13) - (38 - 4) - 8.
-26
Calculate 85 + (7 - 0) + (6 - 4 - 16) + -7.
71
Calculate 76 - (1 - 14 - (1949 + -1996)).
42
Calculate (-13 - ((1 - -32) + (143 - 147))) + 8.
-34
Calculate 1 + -6 + (18 - (5 - -10)) + -2.
-4
25 - (167 - 172 - (-2 - -19))
47
-34 - -39 - (27 - 19) - 30
-33
What is (1 + -5 - 3) + (24 - (16 - -35))?
-34
Evaluate (64 - -1) + (185 - 344).
-94
Calculate -4 + 84 - 57 - 18.
5
What is the value of -1 - (-12 - -2 - (-6 - 15 - -29))?
17
Evaluate 28 + -1 - (6 + -15 + -2).
38
Calculate -206 + 249 + 1 + -36.
8
What is the value of (1 - -7 - -9 - 3) + 33?
47
1 + -5 + -3 - (8 + (-70 - -21))
34
What is the value of ((-19 - 2) + (33 - 5) - (4 - -2)) + 98?
99
Evaluate (-57 - ((-2 + -2 - 0) + (-536 - -547))) + -12.
-76
What is the value of -35 - (-21 + 12) - (-259 - -314)?
-81
Calculate -136 + 72 - (5 - (0 + -9 - (-9 + 5))).
-74
-152 + 82 - -67 - (0 - 4)
1
Evaluate (-238 - -146) + -3 + 36 + 2.
-57
24 + (29 - 17 - -28) + -4
60
Evaluate (13 - (96 + -41)) + 44.
2
What is -24 + (0 - -1) + -5 + -15 + 8 + 9?
-26
Calculate 3 - (-13 + 23) - 8 - -48.
33
What is the value of -13 - (-1 + -12 + -17) - -18?
35
What is the value of -27 + 68 + -34 + 46?
53
Evaluate (-2 - (-57 + -3)) + -18 + 47 + -28.
59
What is the value of 123 + (-13 - -54) + -123?
41
What is (2 + 36 - 3) + (22 + -46 - -29)?
40
Evaluate -22 - (5 + -8) - (-12 - (-35 - -36)).
-6
What is 7 + 9 + 14 + (4 - (7 + 1)) + -70?
-44
What is ((9 - 21) + -1 - (12 - 33)) + -120 + -5?
-117
What is the value of (-14 + 29 - 46) + 38 + 98?
105
What is -158 + 83 + (-3 + -1 + -2 + 4 - -2)?
-75
What is the value of 16 - (143 - (-34 + -2 + 9))?
-154
Calculate (-11083 - -10968) + (28 - 0).
-87
What is 321 - 324 - (0 + 79)?
-82
What is 17 - ((29 - 27) + 21)?
-6
What is (30 - 89) + 86 + -73?
-46
What is the value of 113 - ((-114 - -36) + 132)?
59
What is 711 + -742 + 0 + 39 + 36?
44
What is the value of 2 - -12 - (-47 + 66 - (-3 + 21)) - 9?
4
Calculate -89 + (12 - (23 - -5)) + 44.
-61
Calculate 28 + 69 + 15 + 30 - (5 + -1 + -5).
143
What is (-6 - (-2 + -5)) + (14 - 12) + -70 - -7?
-60
What is the value of -42 + -4 + (8 - (49 + -38 + (-4 - -2)))?
-47
What is (-1 + (14 - 17) - (2 - 19)) + 61?
74
What is -2 + (12 - (-4 - (4 + -12)) - 10)?
-4
14 + -11 + (9 - (15 - 12)) - -47 - -9
65
170 - (83 + -190 + 153)
124
What is -15 + 8 - -12 - (-3 + -4 + 12 + 26)?
-26
Evaluate (-1 - (0 + -1) - 73) + (-58551 - -58556).
-68
Calculate -221 + 283 + (-54 - -4).
12
34 + 94 + -40 - 26
62
(70 - 59 - ((1 - 2) + 16)) + -2 + 10
4
Evaluate -6 + 4 + (4 - 6) + -58 + 2 + 19.
-41
Calculate -2 + 47 - (86 + -128).
87
What is 1 - 20 - (124 - -17 - (104 - 41))?
-97
-31 + 14 + (-6 - (8 + -2 + -5)) + -2
-26
What is the value of (-139 - (18 - 64)) + 43?
-50
What is (1 - 2) + 78 + (70 - (111 + -54) - -2)?
92
Calculate 14 + 3 + (-10 - 20) - (-10 - 4 - -5).
-4
What is the value of 7 + 2 + (-3 - (-4 - 0) - (84 - 108))?
34
Evaluate 9 + (-98 + 118 + (-7 - 2) - (-16 - -1)).
35
51 + (4 - 48) + -39
-32
Evaluate 6 - (-1 + -8) - (19 - (-5 + 14)) - -106.
111
Calculate (144 - -4) + -91 + 15.
72
What is the value of -52 + 4 - (-9 + -3)?
-36
27 - (-48 + 76) - (-4 + (-9 + 6 - -24))
-18
What is 7 + -1 + 5 - (17 + (25 - -22))?
-53
What is (46 - 13) + -45 - (-4 - (99 + 1) - 1)?
93
-29 - (25 - (6 + 11)) - -25
-12
What is (-13 - 1) + 7 + 2 + (9 - 5) + -36?
-37
Calculate -11 - (-39 + ((-11 - (2 - 3)) + -8 - -13)).
33
Evaluate -4 + (20 + (-19 - 19) - -21).
-1
Calculate 1 - 0 - (139 - 55) - (3 + 15 - 30).
-71
What is 620 + -635 - (0 - -30)?
-45
What is the value of -58 + -2 + -73 + 196?
63
Calculate 0 - -31 - (-2631 - -2673).
-11
Evaluate -17 - (-43 - 1) - -7.
34
(3 - (29 - 1)) + -10 + 27
-8
Calculate -5 + 82 + 26 + (6 - -5) + 0 + -1.
113
What is (-25 - -48) + 6 - ((-13 - -7) + -15)?
50
Evaluate (9 - -3) + (-2 + 10 - 11) + 84 + 6.
99
Calculate -24 - (-2 - (-488 + 477 - (1 - 14))).
-20
What is the value of 3 + -91 + 1 - (8 - (-150 + 137))?
-108
What is the value of 10 + (0 + 0 - (113 - 88))?
-15
5 + -145 + 105 + 6
-29
What is the value of -11 + (-15 - -12) + (-27 - (2 - -4))?
-47
Calculate 20 + -28 + -64 + -16 + 4 + -5.
-89
(-45 - (4 - (4 + 7))) + 13 + -1
-26
What is the value of -51 + -12 - (0 + -37 + 20)?
-46
9 + -4 + 1 + -9 + 379 + -383
-7
36 + 26 + (-30 - 63)
-31
Calculate -2 - (11 - 18) - (-25 + 18 + -9).
21
Evaluate (-22 - -55) + 49 + -191.
-109
-29 - ((-20 - (15 + -29 + 5)) + (-2 - -9))
-25
What is -18 - (-17 + 6 + 18 + 12)?
-37
What is the value of 16449 + -16406 + (-2 - -1) + -4?
38
What is the value of 3 - 0 - ((-68 - (-12 - 5)) + 7 + 21)?
26
328 + -208 + -130 - (103 + -1 + 0 + -1)
-111
Calculate -160 - (-157 - -86) - 5.
-94
Calculate -80 - (-69 + 15 - 92).
66
Evaluate (-204 - -51) + (4 - (-35 + 18)).
-132
(-366 - -387) + (35 - 3)
53
What is the value of 10 + -9 - (17 + -31) - 19?
-4
Calculate (13 - -2) + 2 + -7 + 42 + -1 + -25.
26
(-15 - ((-44 - -1) + -577 + 600)) + -4
1
Evaluate (4 + -38 - -19) + (-17 + 3 - -3).
-26
What is (-28 - (20 - 12)) + 30?
-6
What is 16 - (-8 - -49) - -53?
28
Calculate -36 + 7 - (17 + -5).
-41
What is 7 + (43 - 18 - 8) - (-66 + 1)?
89
4 + -111 + (149 + -156 - (-18 - 0)) + -8
-104
Calculate -39 + 4 - (57 + 100 + -274).
82
What is the value of 6 + (11 - 68) + 10?
-41
Calculate 24 + (53 - 8 - (47 + -15)).
37
What is -111 - -93 - (0 - 5) - -2?
-11
Evaluate -28 - (2 + 13 - (40 + -17)).
-20
Calculate 6 + 50 + -20 + 11.
47
What is the value of (5 - -11) + (-142 - 33) + 25?
-134
What is -41 + 81 + (-65 - -20)?
-5
(35 - (1 - -38)) + 1 + -12 + 2 + -11
-24
9 + 11 + 21 + -1 + -21
19
Evaluate 5 + 42 + (-72 - -71) + (-11 - -2).
37
Evaluate -9 - (1 + 1 + -11 - (313 - 312)).
1
52 + -14 + 6 + -2 + 3 + 2
47
What is the value of (9 - (7 + -5)) + 3 + 1 + -74?
-63
What is -22 + (89 - 57) - -33?
43
Evaluate 5 + 0 - (1 - (18 + (-2 - -4))).
24
Calculate -23 - (-29 - (7 - 5)) - 18.
-10
Evaluate 295 + -108 - 86 - 128.
-27
What is -10 + -3 + 21 + -60 - (-6 - 2)?
-44
Calculate (-801 - -836) + -6 + -1 + -5.
23
What is the value of (3 + 15 - 5 - -6) + (-376 - -378)?
21
What is 23 + 286 + -298 + 10 + (-5 - -4)?
20
What is the value of (-1 + 5 - (-2 + (3 - -8))) + -34?
-39
680 + -34 + -655 + -1 + (11 - 0)
1
What is (1 - (1 - 13)) + (66 - -166 - 248)?
-3
Calculate (-62 - (-42 - 7)) + -48.
-61
What is the value of -16 + -1 + 14 + (17 + -22 - 8)?
-16
420 + -384 - (4 + 9)
23
What is -14 - (18 + -27 - (16 - 23))?
-12
(-19 - -3) + (287 - 371) + (-1 - 2)
-103
What is the value of 12 + (-22 - -12) - (85 + -8 + -8) - -4?
-63
What is (-112 + 234 - 246) + 221?
97
Calculate (24 - ((24 - 46) + 56)) + 5 - 101.
-106
2 - (1 + 36 - (-17 + 2 + (14 - -3)))
-33
Evaluate -2 + -62 + 90 + -10.
16
15 + 34 - (2 + -17) - 22
42
What is the value of 8 - (7 - -8 - 6) - (-4 + -6 - -5)?
4
61 - 98 - (-20 - -1) - -74
56
Calculate 107 - (150 + 74 + -115).
-2
-4 + 1 + (-1 - 54) + -43 + 52 + 20
-29
-62 + 28 + 57 + 18 + 0
41
What is 69 + (21 + -49 + 22 - -8)?
71
20 - 111 - (137 - 291)
63
-14 + 40 + -28 - ((5 - 4) + 0)
-3
What is the value of (14 - 17) + 4 - 18 - (-5 - -1)?
-13
What is the value of 110630 + -110520 - ((34 - 0) + 0)?
76
What is the value of -15 + 6 - (1 + 12 + -16)?
-6
What is the value of -380 + 401 - (-2 - -1) - 15?
7
Evaluate 31 + 1 - (-3976 - -4021).
-13
What is the value of 2 + -16 - 6 - (15 + -10 - -5)?
-30
Calculate (-95 + 20 - -46) + (-7 - 0 - 2).
-38
-491 + 500 + (5 - (1 + 2 + (148 - 8)))
-129
Evaluate -60 + 110 - (2 + -2 - (29 + -29)).
50
What is -20 + (-1 - -4) + (2 - -3 - -5)?
-7
W
|
{
"pile_set_name": "DM Mathematics"
}
|
hdhdhdhhh.
1/91
What is prob of sequence kzez when four letters picked without replacement from {z: 9, k: 7, e: 1, t: 2}?
7/1292
Two letters picked without replacement from {r: 1, n: 1, b: 1, i: 2}. Give prob of sequence in.
1/10
Calculate prob of sequence hsrh when four letters picked without replacement from vkrsjjkhkjkh.
1/5940
What is prob of sequence xeef when four letters picked without replacement from {h: 1, l: 4, j: 2, e: 2, f: 5, x: 1}?
1/3276
Calculate prob of sequence tx when two letters picked without replacement from {t: 3, x: 4, r: 1, g: 4, s: 1}.
1/13
Two letters picked without replacement from {g: 1, s: 1, w: 2, f: 2, v: 4}. What is prob of sequence sv?
2/45
Calculate prob of sequence okcx when four letters picked without replacement from {r: 4, k: 4, c: 1, x: 2, i: 2, o: 1}.
1/3003
Calculate prob of sequence ggg when three letters picked without replacement from sagargarsrssg.
1/286
What is prob of sequence dtd when three letters picked without replacement from {p: 12, h: 1, t: 1, v: 2, d: 2}?
1/2448
Four letters picked without replacement from {z: 3, x: 3}. Give prob of sequence zxzz.
1/20
What is prob of sequence hgu when three letters picked without replacement from huhegpp?
1/105
Four letters picked without replacement from {p: 1, h: 5, c: 2, y: 3, b: 6}. Give prob of sequence cpch.
1/5712
Two letters picked without replacement from zzzzjnjujnu. What is prob of sequence zz?
6/55
Calculate prob of sequence kkjk when four letters picked without replacement from bbjjbkjbbbjbbjjbjb.
0
What is prob of sequence qsqs when four letters picked without replacement from llsscqqsqsq?
1/55
What is prob of sequence rrrr when four letters picked without replacement from {r: 4, o: 3, t: 6}?
1/715
Four letters picked without replacement from {s: 2, l: 7}. Give prob of sequence llss.
1/36
What is prob of sequence ldl when three letters picked without replacement from {l: 13, d: 5}?
65/408
What is prob of sequence ll when two letters picked without replacement from {e: 2, s: 2, o: 2, l: 2, y: 4, n: 2}?
1/91
Calculate prob of sequence yaha when four letters picked without replacement from aahaahyyaaaaaaaya.
33/2380
Calculate prob of sequence ifj when three letters picked without replacement from {j: 2, f: 9, i: 5}.
3/112
Four letters picked without replacement from {v: 1, b: 1, r: 11, c: 1, j: 1}. Give prob of sequence vrbc.
11/32760
Calculate prob of sequence jmm when three letters picked without replacement from {m: 2, j: 9}.
1/55
Three letters picked without replacement from uggogougvvuu. What is prob of sequence ovu?
2/165
Four letters picked without replacement from qpqqkkkkqqkqqkqpqqq. Give prob of sequence pkpq.
11/7752
What is prob of sequence cf when two letters picked without replacement from ccf?
1/3
What is prob of sequence ttac when four letters picked without replacement from cacctttta?
1/42
Three letters picked without replacement from {v: 2, j: 7}. What is prob of sequence vvj?
1/36
Four letters picked without replacement from xxkkhkkkhxxhk. Give prob of sequence xxkh.
9/715
What is prob of sequence nen when three letters picked without replacement from ennepnpnnnnnn?
12/143
Three letters picked without replacement from xffxxfx. Give prob of sequence xxx.
4/35
Four letters picked without replacement from {u: 5, z: 5}. Give prob of sequence uzzu.
5/63
Three letters picked without replacement from {i: 1, d: 1, e: 2}. What is prob of sequence eed?
1/12
What is prob of sequence kl when two letters picked without replacement from lkkkkkkkkl?
8/45
Three letters picked without replacement from apguupga. What is prob of sequence aga?
1/84
Four letters picked without replacement from {v: 3, x: 3, j: 3, e: 1, c: 2, u: 4}. Give prob of sequence uxvv.
3/1820
Calculate prob of sequence eyr when three letters picked without replacement from yygekkkkggggrggrre.
1/408
What is prob of sequence ozz when three letters picked without replacement from zoozzzooooo?
14/165
Four letters picked without replacement from {z: 2, j: 4, a: 2, q: 1, e: 3, p: 6}. Give prob of sequence aazj.
1/4590
Four letters picked without replacement from wwkkafyawkkagkkgg. Give prob of sequence aywa.
3/9520
Calculate prob of sequence mt when two letters picked without replacement from {q: 2, t: 3, g: 9, n: 1, m: 1, c: 2}.
1/102
Three letters picked without replacement from wwywywww. Give prob of sequence www.
5/14
Two letters picked without replacement from {i: 3, q: 2, g: 1, x: 1, t: 1, e: 4}. What is prob of sequence xt?
1/132
What is prob of sequence ffff when four letters picked without replacement from {f: 4, k: 15}?
1/3876
What is prob of sequence ssbe when four letters picked without replacement from {s: 2, j: 1, p: 1, b: 1, e: 2}?
1/210
Two letters picked without replacement from vttgggttvvvvvvgvv. Give prob of sequence vv.
9/34
Calculate prob of sequence em when two letters picked without replacement from emmmmme.
5/21
Four letters picked without replacement from {u: 2, q: 11, g: 6}. What is prob of sequence guqu?
11/7752
Calculate prob of sequence cej when three letters picked without replacement from {x: 4, i: 3, e: 4, k: 1, c: 1, j: 1}.
1/546
Calculate prob of sequence ddff when four letters picked without replacement from {p: 1, f: 14, d: 5}.
91/2907
Calculate prob of sequence fd when two letters picked without replacement from dfvffvvf.
1/14
What is prob of sequence wg when two letters picked without replacement from {w: 9, n: 1, g: 10}?
9/38
Four letters picked without replacement from glolgliclc. Give prob of sequence occg.
1/1260
What is prob of sequence gggh when four letters picked without replacement from gggghghgggggg?
3/26
Three letters picked without replacement from {x: 1, r: 1, z: 1, q: 6}. Give prob of sequence zxq.
1/84
Two letters picked without replacement from {q: 1, c: 2, a: 2, w: 1, k: 12}. Give prob of sequence kk.
22/51
Four letters picked without replacement from {k: 3, f: 1, j: 4}. Give prob of sequence fjkj.
3/140
Calculate prob of sequence psp when three letters picked without replacement from {b: 3, s: 4, p: 2}.
1/63
What is prob of sequence di when two letters picked without replacement from zdi?
1/6
Two letters picked without replacement from debvhvhhbh. What is prob of sequence vh?
4/45
Three letters picked without replacement from llkkekkleklk. What is prob of sequence lll?
1/55
Four letters picked without replacement from {e: 3, b: 6, m: 2, c: 2, n: 2}. What is prob of sequence cene?
1/1365
Two letters picked without replacement from {m: 2, w: 1, l: 1, s: 2}. What is prob of sequence ss?
1/15
Two letters picked without replacement from {p: 7, e: 1, q: 1}. Give prob of sequence qp.
7/72
Calculate prob of sequence nn when two letters picked without replacement from {i: 7, f: 3, n: 2}.
1/66
Calculate prob of sequence ac when two letters picked without replacement from {a: 17, c: 3}.
51/380
Two letters picked without replacement from {u: 7, k: 5, a: 4}. Give prob of sequence uk.
7/48
Four letters picked without replacement from cxgcewa. Give prob of sequence xcex.
0
Two letters picked without replacement from xnxinxixkpwnxpxip. Give prob of sequence pw.
3/272
Calculate prob of sequence dxgb when four letters picked without replacement from iicddbgxxgci.
1/1485
Three letters picked without replacement from {j: 1, u: 1, t: 1, s: 2, w: 1, e: 1}. Give prob of sequence ssj.
1/105
Three letters picked without replacement from lddlllllllll. What is prob of sequence ldl?
3/22
Three letters picked without replacement from jxjca. Give prob of sequence acj.
1/30
Two letters picked without replacement from {s: 1, p: 1, y: 1, f: 1, d: 1, e: 2}. Give prob of sequence yd.
1/42
Calculate prob of sequence om when two letters picked without replacement from {o: 1, m: 1, r: 1}.
1/6
Calculate prob of sequence yy when two letters picked without replacement from {y: 4, m: 1, u: 3}.
3/14
What is prob of sequence dk when two letters picked without replacement from {k: 12, d: 7}?
14/57
What is prob of sequence rgv when three letters picked without replacement from xgtxrtvd?
1/336
Three letters picked without replacement from {r: 2, b: 6, k: 4, p: 3, v: 4, j: 1}. Give prob of sequence rvk.
4/855
Four letters picked without replacement from {w: 4, m: 4
|
{
"pile_set_name": "DM Mathematics"
}
|
culate the highest common factor of 70388976 and 48.
48
Calculate the highest common factor of 75 and 4548525.
75
Calculate the highest common divisor of 3115 and 301603645.
3115
Calculate the greatest common factor of 2524926 and 110038.
2974
Calculate the greatest common factor of 19 and 2755747.
1
What is the highest common divisor of 8 and 5082548?
4
What is the highest common factor of 8725 and 1843069?
349
What is the greatest common divisor of 368 and 465474?
46
Calculate the highest common divisor of 31652 and 2849452.
772
What is the highest common divisor of 62695186 and 8194?
482
What is the highest common factor of 21589605 and 1805?
1805
Calculate the highest common divisor of 34998 and 566466.
114
Calculate the highest common divisor of 367158346 and 158.
158
What is the highest common divisor of 16 and 656068784?
16
Calculate the greatest common divisor of 662548 and 400843.
73
What is the greatest common divisor of 132827885 and 255?
85
Calculate the greatest common factor of 4530 and 229230.
30
Calculate the greatest common divisor of 1885 and 3014260.
145
Calculate the highest common factor of 449508 and 558924.
564
Calculate the greatest common factor of 2462516 and 19096.
868
Calculate the greatest common divisor of 6202028 and 4508.
196
Calculate the highest common factor of 164292 and 1868.
4
What is the greatest common divisor of 36 and 464974614?
18
Calculate the highest common factor of 20772 and 1021632.
12
What is the highest common divisor of 304 and 1029698?
2
What is the greatest common divisor of 4926 and 11515346?
1642
Calculate the highest common divisor of 327500 and 208028.
524
Calculate the greatest common factor of 147419285 and 555.
185
What is the greatest common factor of 16238 and 7641391?
353
What is the highest common factor of 49 and 4407893?
49
Calculate the highest common divisor of 74767938 and 2550.
102
What is the greatest common factor of 217649 and 138851?
23
Calculate the greatest common divisor of 110044 and 2966678.
902
What is the greatest common factor of 1875 and 362150625?
1875
What is the highest common factor of 55128 and 186?
6
Calculate the highest common divisor of 5584 and 4096562.
698
What is the greatest common divisor of 48 and 603001428?
12
Calculate the greatest common factor of 8805 and 353515.
5
What is the greatest common divisor of 112942155 and 13491?
4497
Calculate the greatest common divisor of 17757389 and 403.
403
What is the greatest common factor of 255140 and 6400?
20
Calculate the highest common factor of 1279200 and 134004.
156
What is the greatest common factor of 28416 and 3936?
96
What is the highest common divisor of 3049664 and 11968?
1088
What is the greatest common factor of 4088128 and 528?
176
Calculate the greatest common divisor of 2070 and 323317440.
2070
What is the highest common divisor of 4212 and 600860?
52
What is the greatest common divisor of 1140156 and 98739?
1863
Calculate the greatest common divisor of 6647140 and 978.
326
Calculate the highest common divisor of 25318236 and 474.
474
Calculate the highest common factor of 2050 and 6119425.
25
Calculate the highest common divisor of 75 and 139341525.
75
What is the greatest common factor of 766 and 15071816?
766
What is the greatest common factor of 572 and 81438643?
143
What is the highest common divisor of 222604 and 27782?
58
Calculate the highest common divisor of 1849496 and 64.
8
What is the greatest common divisor of 114 and 10509166?
38
What is the highest common divisor of 164 and 36304?
4
Calculate the greatest common factor of 24738334 and 515.
103
What is the highest common divisor of 121 and 13192025?
121
What is the highest common divisor of 83439563 and 214?
107
Calculate the greatest common factor of 17 and 48782061.
17
Calculate the greatest common factor of 171 and 24956136.
9
Calculate the highest common factor of 849648 and 213156.
372
Calculate the highest common factor of 2961 and 968172975.
2961
Calculate the greatest common factor of 468 and 36974340.
468
What is the highest common divisor of 5649545 and 35695?
3245
What is the highest common factor of 46 and 69952522?
46
Calculate the greatest common factor of 277109008 and 11.
11
What is the greatest common divisor of 46676 and 84938?
14
What is the highest common factor of 22794 and 469626?
174
Calculate the greatest common divisor of 90064801 and 193.
193
What is the greatest common factor of 465267 and 1518?
759
Calculate the greatest common factor of 11000 and 1375528.
88
What is the greatest common divisor of 1548 and 3096258?
258
What is the greatest common divisor of 32 and 32104024?
8
Calculate the greatest common divisor of 8085 and 917455.
385
What is the greatest common divisor of 192052847 and 413?
413
What is the greatest common divisor of 766395 and 175?
35
Calculate the greatest common factor of 1206 and 19223037.
603
Calculate the highest common factor of 10000 and 2950.
50
What is the greatest common divisor of 299968137 and 487?
487
Calculate the highest common factor of 486167 and 5000215.
2519
Calculate the greatest common factor of 8701792 and 968.
88
Calculate the greatest common factor of 3866 and 15574181.
1933
Calculate the highest common factor of 96524 and 28433680.
1636
What is the greatest common divisor of 7384 and 2131136?
568
What is the highest common divisor of 746924 and 1019524?
5452
What is the highest common divisor of 250509 and 3318?
1659
Calculate the greatest common factor of 1152 and 121312764.
36
Calculate the greatest common factor of 212 and 58175927.
53
Calculate the highest common divisor of 225 and 451419030.
45
What is the greatest common divisor of 165801197 and 1087?
1087
What is the greatest common divisor of 30843648 and 4608?
2304
What is the greatest common factor of 863949232 and 7088?
7088
What is the highest common divisor of 5675887 and 269339?
2471
Calculate the highest common divisor of 8167800 and 2400.
600
Calculate the highest common divisor of 65900259 and 9.
9
What is the highest common factor of 9 and 9607239?
9
What is the greatest common factor of 24597442 and 2082?
694
Calculate the greatest common divisor of 296036 and 2808.
52
What is the greatest common factor of 8246740 and 820?
820
What is the greatest common divisor of 18493518 and 816?
102
Calculate the greatest common divisor of 9405201 and 2073.
2073
Calculate the greatest common divisor of 64 and 32880472.
8
Calculate the greatest common divisor of 1541 and 6254316.
67
What is the greatest common factor of 92114 and 24062?
106
What is the highest common factor of 124980080 and 111?
37
What is the greatest common divisor of 42 and 34287771?
21
Calculate the greatest common factor of 7777 and 1632463.
707
What is the highest common factor of 4559 and 308557?
97
What is the greatest common divisor of 3912 and 64111812?
1956
Calculate the greatest common factor of 581647 and 1538240.
4807
What is the highest common factor of 4040 and 11681330?
10
Calculate the highest common factor of 640 and 30038880.
160
What is the highest common divisor of 364 and 1301321?
7
Calculate the highest common divisor of 1873924060 and 20.
20
What is the highest common divisor of 194190589 and 67?
67
Calculate the highest common divisor of 7940 and 5016492.
1588
What is the greatest common factor of 5127 and 324?
3
Calculate the highest common divisor of 4059921 and 198843.
2517
What is the greatest common divisor of 27178 and 144780?
254
What is the highest common factor of 698 and 706440914?
698
Calculate the greatest common divisor of 103653888 and 104.
104
What is the highest common factor of 16836 and 46069?
23
What is the greatest common factor of 151148 and 7124804?
5212
Calculate the highest common divisor of 306955195 and 1877.
1877
Calculate the greatest common factor of 5709723 and 957.
87
What is the greatest common divisor of 37284 and 28011756?
2868
What is the highest common factor of 18430 and 48694?
194
Calculate the greatest common divisor of 92393 and 360707.
197
Calculate the greatest common divisor of 64512 and 12306.
42
What is the highest common divisor of 5109012 and 11484?
36
Calculate the greatest common divisor of 112 and 11215288.
56
Calculate the highest common factor of 125
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4 for o.
5
Let r(v) = 3*v - 38. Let o(d) = d - 13. Let w(h) = 11*o(h) - 4*r(h). Let f be w(4). Let u be ((-5)/3)/(f/(-15)). Solve 7 = -u*s - 3 for s.
-2
Let u be 12/((-20)/4 - 23/(-5)). Let q be 306/63 + u/35. Solve 0 = q*r - 6*r + 10 for r.
5
Let n = -19315 - -19338. Solve -48*j = -n*j + 150 for j.
-6
Let f be 1/4*-1 + (-966)/(-184). Let c be (f/(75/(-6)))/((-4)/60). Solve -n + c = n for n.
3
Let b = 4364 + -4332. Solve -6*s + b = 38 for s.
-1
Let y(z) = -z**3 + 22*z**2 - 89*z + 980. Let s be y(20). Solve -22*c + 183 - 227 = s for c.
-2
Let m = -3164 + 3204. Solve -17*s = -7*s + m for s.
-4
Let s be (-2 + 14)*-3*(-42)/56. Let h(x) = -2*x + 63. Let q be h(s). Solve 0 = 4*r - q*r for r.
0
Let z = -4913 + 4981. Solve 35*y + z = 18*y for y.
-4
Let x(c) = 8*c - 65. Let j be x(25). Suppose -5*w - j = -10*w. Solve 35 = -4*g + w for g.
-2
Let w be (10/25)/((9/(-20))/(-9)). Solve 48*a = 392 - w for a.
8
Let c = 287 - 280. Suppose -z - 2*x - 8 = -22, -c = -3*z + x. Solve v - 9 = z*v for v.
-3
Let i = 6962 - 6925. Solve p + i = 38*p for p.
1
Let s = 11948 + -11934. Suppose -5*a + 4*c + 11 = 0, 0 = 2*c - 2. Suppose -2*j + x = -2, 2*j - 7 = -3*x + a. Solve 4*l - j + s = 0 for l.
-3
Suppose -489*q = -481*q - 2680. Let x be -4 + (-300)/(-78) - q/(-65). Solve 0*p = x*p + 25 for p.
-5
Let g(h) = 6*h**2 + 4*h + 49. Let u be g(-5). Solve -173 + u = m for m.
6
Suppose -115 = -13*z - 11. Let v be -6*(4/z)/(18/(-12)). Solve 4*m - 4 = v*m for m.
2
Let d be ((-77)/(8316/162))/(2*(-6)/368). Solve 40*c - d*c = 30 for c.
-5
Suppose 3*n + 365 - 54 = v, n - 291 = -v. Solve v - 316 = 4*i for i.
-5
Let n(i) be the first derivative of 4*i**3/3 + i**2/2 - 7*i + 12. Let l be n(-2). Solve 1 - l = -6*c for c.
1
Let n be (-2 - -7) + 3*-1 + 18. Let t be (364/112)/((1/n)/1). Let g = t + -63. Solve -g - 6 = 4*w for w.
-2
Let u be 4 - (-2 + 4/4). Suppose 10*r + u*r = 3*r. Suppose k - 3 = 2. Solve r = d - k*d for d.
0
Let o(a) = -a**3 + 8*a**2 - 33*a + 62. Let n be o(0). Solve -397*q + n = -366*q for q.
2
Suppose 2*m = -u - 6, -4*u + 3 - 2 = 3*m. Let h be 111/(-74)*16/(-6). Suppose 0 = -3*a - h*b + 10, 3*a = 3*b + 19 + 5. Solve u - a = -q for q.
2
Let t be (-21)/(-14)*(0/(-2) - -34). Let a = -77 + t. Let g = -26 - a. Solve g = -4*h + 3 + 9 for h.
3
Let a(w) = -17*w**2 + 299*w - 162. Let x be a(17). Solve 179*r - 177*r + x = 0 for r.
-4
Let h(n) be the second derivative of n**5/20 + 5*n**4/6 - 11*n**3/6 + 3*n**2 + 78*n. Let i be h(-11). Solve 2*t = i*t - 4 for t.
1
Let k(g) = g**3 + 10*g**2 - 10*g + 15. Let l be k(-11). Let a be (0 - 21/(-28))*l. Solve s = a - 2 for s.
1
Suppose 3132 = -19*j + 73*j. Solve -15*t - 14*t = -j for t.
2
Let l = 165 - 16. Solve 4*m + l = 145 for m.
-1
Suppose 1075*q - 2167*q + 1083*q = -1404. Solve -34*m = 5*m - q for m.
4
Let y = 4037 + -4037. Solve y = -5*n + 5 + 20 for n.
5
Let s = 6220 - 6188. Solve -35 = s*l - 163 for l.
4
Let q(l) be the second derivative of -l**3/2 - 3*l**2/2 - 17*l. Let g be q(-3). Suppose 4*r - 9 = -t, 5*r - g*t - 27 = -2*t. Solve r*w + w + 4 = 0 for w.
-1
Suppose 215 = 2*y + 2*h + 3*h, y = -2*h + 106. Let w = y - 82. Solve 0 = 4*t - 10*t - w for t.
-3
Suppose 0 = 5*f - 10 - 5. Suppose 2*i - 2 = 4*i, 13 = k - f*i. Solve k*p = 5*p for p.
0
Suppose -4254*g = -4265*g. Solve g = 4*n + 31*n + 35 for n.
-1
Suppose -2*u - 24 + 14 = 0. Let h be ((-12)/(-32)*4)/(u/10). Let l(r) = -2*r**2 - 8*r - 4. Let c be l(h). Solve -n + 0*n = -c for n.
2
Let s(o) = -4*o - 32. Let i be s(-9). Suppose 3*j + 5*y = -5, 0 = 2*j + 2*y - 6*y - i. Solve -g = -j*g for g.
0
Let x(r) = 7*r + 68. Let u be x(-9). Suppose -3*g - 2*a = -2, u*g - 34*a + 38*a = 4. Solve -2*i - 4 = -g for i.
-2
Let t(p) = 3*p**2 + 13*p - 14. Let a be t(-8). Suppose a*r = 65*r + 126. Solve -13*l = -r*l - 3 for l.
-3
Suppose -24*w - 19 = -43*w. Let j(b) = 12*b - 138. Let f be j(12). Solve 0 = -t - w + f for t.
5
Let h be 7/13*(-3 - -16). Solve -h = -x - 7 for x.
0
Let q(y) = 18*y**3 - 125*y**2 - 3*y - 10. Let b be q(7). Solve 0 = b*s + 9 + 63 for s.
-4
Let n be 28 - 4 - (-2 - -1). Suppose 4*v + 3*g = -64, g = -2*v - n - 7. Let j be (-126)/(-24) - (-4)/v. Solve j*k = 1 - 6 for k.
-1
Let g be -1 + 1 + (17/((-51)/(-27)) - 8). Suppose 2*b + 11 = 3*b. Solve -4*i + g = -b for i.
3
Let c be 0 - 4 - (5 + 0 + -11). Suppose 3*y - 5*m = c + 11, 2*y - 7 = 5*m. Solve 0 = n - y*n - 10 for n.
-2
Suppose 5*d - 4*n - 30 = 0, 5*d = 6*d - 5*n - 6. Solve d*o + 60 = 18*o for o.
5
Let k(a) = a**2 - 15*a + 64. Let m be 0 + 1 + (4*8)/4. Let u be k(m). Solve 3*b + 2*b = u for b.
2
Suppose q + 298 - 175 = 0. Let b be 0 + 124 - (4 + -11 - -4). Let t = q + b. Solve t = -5*k + 9 for k.
1
Let n(g) = g**2 - 27*g - 936. Let f be n(-20). Suppose -4*z + 20 = 0, z - 11 = -4*q + 2*z. Suppose q = 3*t + 1. Solve 3 = f*w - t for w.
1
Let m be 1796/(-14) - (-4 - (-182)/49). Let p = m + 128. Suppose -10 = 4*k + 5*z, 7*k - 3*k + 4*z + 8 = p. Solve k*f - 16 = 4*f for f.
-4
Let r = -1 - -1. Let k = 7061 + -7061. Solve -s - 3 + k = r for s.
-3
Let o = -2245 + 2304. Solve -88 = -49*x + o for x.
3
Let i be (-25)/(-275) + (-13890)/(-33). Let c = i - 419. Solve -c = -3*y + 1 for y.
1
Let g(u) be the first derivative of -1/2*u**2 - 11 - 1/4*u**4 + 0*u**3 + 6*u. Let w be g(0). Solve o + w = -2*o for o.
-2
Suppose -45*j - 2817 = -55*j - 937. Solve -196*f = -j*f + 40 for f.
-5
Let m be (9/5)/(-8 + (-3220)/(-400)). Solve 17*o + o = m for o.
2
Let s = 4 - 2. Let a = 813 + -792. Suppose 0 = a*m - 2*m + 4*m. Solve -s*n + 0*n + 10 = m for n.
5
Let i(j) = 14*j - 6*j - 18 - 3*j. Let z be i(4). Suppose 2*m = z*t + 14, 2*t + 8 = -2*t. Solve 0 = -2*d + m + 3 for d.
4
Suppose 40862 = 32*l + 2014. Solve l*g = 1207*g + 35 for g.
5
Let r = 7907 + -7905. Let z be 24/(-8)*(-4)/3. Suppose 2*c + z*q - 38 = 8*q, 5*c + 4*q = 53. Solve c*y + r = 14*y for y.
2
Suppose 5*a = 3*y - 2, -4*y - 9 = -a + 6*a. Let m be (-1 - (-6 - -5))/(y + 2). Suppose -9*q + 2 = -8*q. Solve m*h = q*h + 8 for h.
-4
Let n = -10871 - -10913. Solve n = -182*v + 189*v for v.
6
Let t = -50 - -49. Let w(q) = -32*q**3 + 2*q + 2. Let g be w(t). Let a = -29 + g. Solve u - 2*u - a = 0 for u.
-3
Suppose 3*h = 12*h. Let z(i) = i**2 - 25*i + 49. Let u be z(23). Suppose -7*s + 2*s + 15 = 0. Solve h = u*f - 2*f + s for f.
-3
Let u = 295 + -285. Suppose -5*g + 6*g - 1 = 0, -2*o = -4*g - u. Solve 3*x + 5 = -o for x.
-4
Let o(l) = -l**2 + 228*l - 9091. Let x be o(176). Solve 177 - x = -29*v for v.
-4
Let j(m) = 811*m + 1416. Let n be j(5). Solve n*s = 5473*s - 16 for s.
8
Let r be (-4 - -2)/((6 - 514/85)/2). Solve 3*i - r = -73 for i.
4
Let c(v) = -v**2 - 2*v + 4. Let x be c(-3). Suppose -17*p = 23 - 6. Let z be (0 + p/x)*-1. Solve l - 6 = -z for l.
5
Suppose 3*v - 77 + 65 = -2*g, 0 = -5*g + 4*v + 7. Solve 0 = -5*f + 13 - g for f.
2
Suppose -8*h + 22 = -202. Suppose -32 = -6*z + h. Solve 5*x - z + 5 = 0 for x.
1
Let w = -1 + 1. Suppose w*l = -4*l + 16. Suppose -5*t + 2*y + 18 = 4*y, -2*t + l*y = 12. Solve -6 = v + t*v for v.
-2
Let m(p) = -p**3 + 15*p**2 + 101*p - 8. Let b be m(20). Solve -i + 52 = b*i for i.
4
Let o = 6980 - 6744. Solve -228*j + o*j - 40 = 0 for j.
5
Let p = 5756 + -5719. Solve p*r - 183 = 39 for r.
6
Let q(j) = -j**3 - 5*j**2 - 3*j - 6. Let d be q(-4). Let b = -7 - d. Suppose 122*x - 24 = 116*x. Solve -b + 7 = x*k for k.
1
Suppose -s - 39 = 4*z, 5*z - s = -6*s - 60. Let p(b) = 8*b + 22. Let n be p(z). Let j = n + 54. Solve 5 + j = -3*t for t.
-3
Let x be 7 + 10/(-4)*14/(-210)*-18. Solve 19 = x*d + 3 for d.
4
Suppose -l - 21 = -3*b, 0 = -2*b - 4*l - 0*l. Solve 5*z - 11 = -b for z.
1
Let b(d) = 3*d - 79*d**2 - 4*d + 1 + 81*d**2. Let h be b(3). Let z be ((h/(-10))/(-2))/(6/15). Solve -3*i - 10 = z for i.
-4
Let i(z) = 188*z**2 - 166*z + 671. Let a be i(4). Solve a*h - 3012*h = -9 for h.
-3
Suppose 17 = u - 3*j, 8*u - 2*j - 20 = 3*u. Solve 0 = -4*w - 6 - u for w.
-2
Let c(i) = 3*i + 3 + i - 9 - 5*i. Let k be c(-10). Let g be (-6)/k*(-5 + 4/(-12)). Solve 3*s - g = s for s.
4
Suppose -22 - 11 = -2*y - 5*n, 3*n = 2*y - 25. Let u(k) = 2*k**2 - 26*k - 26. Let r be u(y). Solve r*z = -z for z.
0
Suppose -a + 125 = 2*y, 11*y = 6*y + 4*a + 280. Solve 0 = 5*x + 15*x - y for x.
3
Let c(f) = -96*f + 3193. Let x be c(33). Solve -10 - x = 5*o for o.
-7
Suppose 162 = 340*j - 1086 - 2152. Solve -j
|
{
"pile_set_name": "DM Mathematics"
}
|
x + 3, -x + 1 = 0. Calculate the remainder when k is divided by t.
8
Let x(q) = -q - 2. What is the remainder when x(-9) is divided by 2?
1
Suppose -5*y = -10, -3*f + 2*y = 4*y - 91. What is the remainder when f is divided by 16?
13
Suppose 0 = 2*b - 41 + 15. Suppose m + h + b = 0, 0 = 2*m - 2*h - 3 + 13. Let w = 19 + m. Calculate the remainder when 39 is divided by w.
9
Let h = 29 - -75. Calculate the remainder when h is divided by 21.
20
Suppose 0 = 5*l + 3*o - 40, 4*l + 2*o - 3*o = 32. Calculate the remainder when 36 is divided by l.
4
Suppose -4 = 3*p + 2. Let v(c) = 11*c - 4. Calculate the remainder when v(3) is divided by 1/p - (-84)/8.
9
Suppose 0 = -a - 9 - 14. Let p = 56 + a. What is the remainder when p is divided by 9?
6
Suppose -f - 3*u + 0*u + 22 = 0, 5*f - 2*u = 25. Calculate the remainder when f is divided by 16/6 + 4/(-6).
1
Let k = -5 - -8. Suppose -4*y + 18 = -k*y. Calculate the remainder when 34 is divided by y.
16
Suppose 353 = 3*q + 77. Let d = -52 + q. What is the remainder when d is divided by 14?
12
Let t be (-1 - -2)*0/(-4). Suppose -4*r - 4 = -3*r, 0 = q + 5*r + 4. Calculate the remainder when 54 is divided by (-2 + t)*1 + q.
12
Let z = 53 + 22. What is the remainder when z is divided by 26?
23
Let w(m) = 69*m + 2. What is the remainder when w(1) is divided by 36?
35
Let v(b) = 3*b + 3. Let r = -71 + 122. Calculate the remainder when r is divided by v(5).
15
Let b = 5 + -4. Suppose i - 14 - b = 0. What is the remainder when i is divided by 8?
7
Let m(x) = 2*x**2 - 7*x + 5. Calculate the remainder when 26 is divided by m(4).
8
Let z be (-1)/(-4 + (1 - -2)). Let g(c) = 5*c**2. Let j be g(z). Suppose j = i + 2. What is the remainder when 5 is divided by i?
2
Let m = 29 - 17. Let l(r) be the second derivative of -11*r**3/3 + 3*r. What is the remainder when l(-1) is divided by m?
10
Let z(m) = m**3 + 10*m**2 - 13*m. What is the remainder when z(-11) is divided by 5?
2
Suppose 0 = 2*b + h + h - 76, 149 = 4*b + h. Suppose 8 = m - 3*m, 3*z = 3*m + 9. Calculate the remainder when b is divided by (z/(-3))/((-1)/(-39)).
11
Suppose 4*n + 42 = 2*f, -23 = -4*f + n + 89. Let j(o) = 2*o - 4. What is the remainder when f is divided by j(7)?
9
Let n(v) = 2*v**3 - 4*v**2 + 5*v - 5. What is the remainder when 7 is divided by n(2)?
2
Let o be (-1)/(((-6)/(-5))/(-6)). What is the remainder when (-2)/(o/(610/(-4))) is divided by 21?
19
Let v = 30 - 16. What is the remainder when 53 is divided by v?
11
Let g = -7 - -10. Suppose g*i - 5*i = -32. What is the remainder when 30 is divided by i?
14
Let g be (-4)/22 + (-92)/(-22). Let y be g*(0 + 51/12). Let m = y - 5. Calculate the remainder when 22 is divided by m.
10
Let v(h) = 16*h**3. Let u(z) = 3*z**2 - z. Let g be u(2). Suppose r = -5*s + g, 2*r - 9 = -0*s + s. What is the remainder when 47 is divided by v(s)?
15
Suppose 0 = -2*x + 5*z + 52, -7*x - 4*z - 92 = -10*x. What is the remainder when 140 is divided by x?
32
Suppose 3*n - 68 = -4*f - n, 4*n = 3*f - 86. Calculate the remainder when 83 is divided by f.
17
Let l(j) = j**2 + 9*j + 2. Calculate the remainder when 2 is divided by l(-9).
0
Suppose -3*a + 23 + 7 = 0. Calculate the remainder when 47 is divided by a.
7
Let m = -14 - -47. Let k = 26 - 14. What is the remainder when m is divided by k?
9
Let s(p) = p**3 - 15*p**2 - p + 17. Let j = 14 - -1. Calculate the remainder when 9 is divided by s(j).
1
Calculate the remainder when 63 + -4 + 6/3*-1 is divided by 15.
12
Let h = -6 + 8. Let k be 221/51 - 2/6. Suppose 4*v + 76 = k*f, 5*v + 38 = h*f + 9. What is the remainder when f is divided by 12?
10
Let w = -28 + 59. What is the remainder when 121 is divided by w?
28
Suppose 0 = -5*h + 6 + 4. Suppose h*y + 2*y = 0. Let m(k) = -k**2 - k + 26. What is the remainder when m(y) is divided by 14?
12
Suppose 0 = 5*d - d - 8. Suppose -d*w = w + 4*c - 122, 4 = -c. Calculate the remainder when w is divided by 24.
22
Suppose -8*l + 4*l - 3*y = -208, 5*y = 5*l - 225. Suppose -51 = -0*v - 3*v. What is the remainder when l is divided by v?
15
Suppose 6 = 3*b - 39. What is the remainder when 41 is divided by b?
11
Let d = -66 + 114. Calculate the remainder when d is divided by 17*(-1 + 3 + -1).
14
Suppose -1756 + 1666 = -3*g. What is the remainder when g is divided by -11*(2/(-1) - -1)?
8
Let x(d) = -2*d**3 - 4*d**2 - d + 2. Let s = -8 + 6. Let m = 32 + -22. Calculate the remainder when m is divided by x(s).
2
Let x(f) = -4*f**3 + f**2 - f - 1. Let a be x(-1). Suppose d + 4*d + a = 5*y, 0 = -3*d - 4*y + 11. What is the remainder when d is divided by 1?
0
What is the remainder when 276/20 + (-1)/(-5) is divided by 3?
2
Let f be -4*(44/(-16) + 2). Suppose 2*w - z - 89 = 0, 0 = f*w - 4*z - 64 - 82. What is the remainder when w is divided by 11?
9
Let j = -33 - -20. Let z = j - -18. Suppose -9 + 135 = 4*x - 5*u, 2*x - z*u - 68 = 0. Calculate the remainder when x is divided by 8.
5
What is the remainder when 62 is divided by 639/72 - (-2)/16?
8
Suppose 0 + 20 = 4*n. Suppose 37 = 13*c - 93. Let g = n + c. What is the remainder when g is divided by 4?
3
Calculate the remainder when 10/(-2) - 56/(-1) is divided by 14.
9
Let c(h) = 7*h + 3. Let y(j) = -3*j - 2. Let f(b) = 3*c(b) + 5*y(b). Calculate the remainder when f(5) is divided by ((-24)/16)/((-1)/10).
14
Let i be 3*-16*(-3 + 2). What is the remainder when 23 is divided by (i/(-9))/((-2)/3)?
7
Let i(l) = -l**3 + 7*l**2 + 9*l - 1. What is the remainder when i(8) is divided by 4/2 + -1 + 1?
1
Suppose -2*v + 39 = 9. Let y = -61 - -97. Suppose y = u - 8. Calculate the remainder when u is divided by v.
14
Let d(r) = -11*r**3 - r**2. Calculate the remainder when 39 is divided by d(-1).
9
Suppose -6*l + 5*l = -14. Suppose -g + 30 - 5 = 0. What is the remainder when g is divided by l?
11
Let x = -41 - -53. Let s = 7 + 0. What is the remainder when x is divided by s?
5
Suppose 18 = -2*f + 4*f. What is the remainder when 24 is divided by f?
6
Suppose -31 - 9 = -8*o. What is the remainder when o is divided by 3?
2
Let l = 33 + -9. What is the remainder when l is divided by (-1)/(-3) + 38/3?
11
Suppose c = -3, -2*q + 3*q - 2*c = 137. What is the remainder when q is divided by 11?
10
Suppose 2*v + a = 36, -5*a = -v + 3*v - 44. What is the remainder when 29 is divided by v?
12
Suppose -5*i + 45 = 2*y - 18, 123 = 3*y - 2*i. Calculate the remainder when 75 is divided by y.
36
Let o(f) = -2*f**2 + 16*f + 7. What is the remainder when 12 is divided by o(8)?
5
Let t(q) = 2*q - 4. Let c be t(-3). Let b be 32/(-6)*(-15)/c. Let l = -5 - b. Calculate the remainder when l is divided by 2.
1
Let h(k) = 2*k**2 - 5*k - 3. Let o be h(5). What is the remainder when ((-10)/(-4))/(2/24) is divided by o/(-4 - -6*1)?
8
Let a(u) = -u**2 - 25*u - 12. Calculate the remainder when a(-13) is divided by 37.
33
What is the remainder when (-2*9)/(-9 + 7) is divided by 3?
0
Let c(g) = 7*g. Let h = 31 + -7. Let l = -19 + h. Calculate the remainder when c(2) is divided by l.
4
Calculate the remainder when 4 is divided by (0 + (-3)/(-9))*9.
1
Let j(m) = -2*m**2 + 41*m - 5. Calculate the remainder when 95 is divided by j(20).
5
Let r = 7 + -8. What is the remainder when (-1 - 74)/3*r is divided by 14?
11
Calculate the remainder when 44 is divided by 7/(-35) - 152/(-10).
14
Suppose -2*u = -y + 10, 0*y - 2*y = -u - 17. Calculate the remainder when 13 is divided by y.
5
Let f be 31/2 - 1/(-2). Suppose -3*h - h = -f. Suppose h*o = 11 + 5. Calculate the remainder when 5 is divided by o.
1
Suppose -3*g - 24 = -3*a - 0*g, -2*a = -3*g - 21. Let b = a - -18. Calculate the remainder when b is divided by 6.
3
Suppose -3*k + 48 = -0*k. Let g = 8 - 6. Suppose 0 = -g*o + 63 - 1. What is the remainder when o is divided by k?
15
Let m(g) = g**3 - 3*g**2 + 5*g - 2. What is the remainder when 25 is divided by m(3)?
12
Suppose 0 = 2*m - 5*r - 3, 4*r + 1 = m + r. What is the remainder when m is divided by 3?
1
Let m(n) = -2*n**3 - 3*n**2 + 2*n - 7. What is the remainder when 124 is divided by m(-3)?
12
Let a = 51 + -50. Let d = -8 - -18. Let l = d - a. What is the remainder when 24 is divided by l?
6
Let t(z) = 3*z + 4. What is the remainder when 36 is divided by t(3)?
10
Suppose d + 0*d = -5. Suppose -s = -6*s - 120. Let p = d - s. What is the remainder when 37 is di
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose c + 3*x + 1 = 0, -3*c - 4*x = -14 + 2. Let t(b) = 10*b + 9. Let o be t(2). Solve -2*p + 2*n - 2 = 0, -c*n + o = p - 3*n for p.
4
Let o(q) = -10*q - 60. Let p be o(-6). Solve -y + 4*i = -0*y + 11, p = -3*i + 12 for y.
5
Let u(z) = z**2 + z - 1. Let g be u(1). Suppose -q = g, 5*q = 3*h - 0*q - 11. Solve 4*f = -4*a + 20, -3*a + 8 = h*f - 3 for f.
4
Let d = 22 + -19. Solve -3*k - k = -12, -d*k = -4*w - 1 for w.
2
Let p be (-14)/49 + 2/7. Let f = 4 - p. Solve -v - 4*i - 6 = 0, -12 = -v - v + f*i for v.
2
Let d(y) = -y**3 + 4*y**2 + 2*y - 4. Let a be d(4). Solve 3*k + a*u = 3 - 1, 0 = -3*k - 5*u + 1 for k.
2
Let d(n) = 2*n**3 - 4*n**2 + 3*n - 2. Let u be d(2). Solve -12 = -u*l - 4*z, 2 = z - 1 for l.
0
Suppose 0 = -7*b + 6*b + 5. Solve 3*s = y - 4*y - 6, 0 = b*s + 4*y + 7 for s.
1
Let a = -105 - -109. Solve -d - 20 = a*d - 2*i, -4*d - 16 = -3*i for d.
-4
Let w be (3/6 - 3)*54/(-15). Solve 4*a - m + 3 = 0, m + w + 0 = -2*a for a.
-2
Let m(c) be the first derivative of -c**2 + 2 + 2*c + 1/3*c**3. Let s be m(3). Solve 3*h = s*h + 3*q + 19, 4*q + 22 = -2*h for h.
-5
Let q(z) = 2*z + 2*z - 5*z + 5*z**2 + 1 - z. Let b be q(1). Suppose 3*j - b = 2. Solve 2*a - 4 = -j*v, 6 = -v + 5*a - 10 for v.
-1
Let o(y) = -10*y. Let l be o(-2). Solve j = -4*v - l, 8*v = 3*v - 20 for j.
-4
Let u be (5 + 1)/(3/(-2)). Let w be u/5*25/(-10). Solve 2*a = 3*a - 2*c - 12, 0 = 5*a + w*c - 12 for a.
4
Let v be 2 + (-22)/88 + 2/8. Solve v*f = -5*z - 0*f + 5, -2*f + 12 = -2*z for z.
-1
Let q(l) = l**2 + l + 3. Suppose 2*v + 2*v = 0. Let b be q(v). Suppose i = -3*m, 0 = -0*i + 2*i + 2*m - 4. Solve 4*p + 27 = 4*g + i, 12 = -b*p + g for p.
-3
Let q be (-3 - -2)/3*-9. Let x be 2 - q/(12/(-8)). Solve 0 = x*h + 3*n + 23, 2*n - 9 = -3*h + 5*n for h.
-2
Let u(m) = -m**3 + 6*m**2 + m - 2. Let y be u(6). Suppose y*d = -d. Let j be d + -4*10/(-4). Solve -5*s - k + j = -0*s, -10 = 2*k for s.
3
Suppose 6 = -3*s + 3*l, 4*l = 3*s + 4 + 6. Solve -4*b = p + 11, s*b - 6*p + p = 11 for b.
-2
Let f = -29 + 11. Let s = -13 - f. Solve 3*k = -a + s, k - 5 = -a - a for a.
2
Let c = -16 + 16. Suppose -j + c + 5 = 0. Solve 5*n = -2*k + 14, -n + j*k + 3 = 11 for n.
2
Let r be -18*(5 - 2)/(-3). Suppose 4*q + 2 = r. Solve 3*b = q*u + 5, 3*u + 6*b - 2*b = -35 for u.
-5
Let i(z) = -z**2 + 4*z + 1. Let r = -2 - -5. Let p be i(r). Solve -17 = -a - 0*a + p*q, a + 18 = -3*q for a.
-3
Let z(p) = -p**3 + 3*p**2 - 2*p + 3. Let x be z(2). Suppose -2 = -x*f + 10. Solve -3*n + 2*g - 4 = 0, n + 20 = f*g + 2 for n.
2
Suppose 3 + 15 = 6*s. Suppose -2*b + 5*b - 9 = -s*z, 0 = -2*b + 5*z + 20. Solve -b*h = -6*h - 4*l - 13, 4*h - 5 = 3*l for h.
-1
Suppose 0 = 5*c - c + 16. Let a = 12 + c. Solve 3*v + a = -r, -2*r - v - 9 = -2*v for r.
-5
Let d = 0 + 4. Suppose -j = 5*t - 2*j - 19, 0 = 2*t - 4*j - d. Solve 4*h + 4 = t*p, -4*h = -8 - 0 for p.
3
Suppose -3*q = -10 - 2. Suppose -4*n + 0*g = -5*g - 7, -3*n + q*g + 5 = 0. Suppose -1 = 4*t - 17. Solve 4*x = -4, x = -n*u + t*u - 3 for u.
2
Suppose 3 = -b - 2*g, -3*g + g = 5*b - 1. Let n be (b - 0)*2*1. Solve -4*m + 2*h + n = -0, -4*h + 4 = 0 for m.
1
Let x be (-26)/65 - 17/(-5). Solve 3*k + 6 = d, 0 = -5*k - x*d + d + 1 for k.
-1
Suppose -13*g = -12*g - 7. Let o = -1 - -3. Let y be ((-20)/15)/(o/(-15)). Solve -5*r - x - y = 0, g*r + 2*x = 3*r - 14 for r.
-1
Let y be 18/(-3)*(-6)/4. Let r be -4*(y/6 + -2). Solve -2*x - 13 - 7 = -r*s, -s = x for x.
-5
Suppose -3*l = l - 112. Suppose -4*q + l = 8. Solve 0 = -4*u + 5*x + 31, 0*x - 23 = -q*u + x for u.
4
Let d(k) = k**3 - k**2 - k - 2. Let w be d(2). Suppose 2*b + 5*g - 49 = w, 3*g - g - 70 = -5*b. Solve -16 = 3*z - 4*j, 2*z + 0*j = -3*j + b for z.
0
Suppose 4*a - 3*s = 64, 0 = -2*a - a - 4*s + 48. Let p = a - 11. Suppose 2*u - 5*f = 71, f - 59 = -3*u + 22. Solve 0 = j - i, 0 = p*j + i + u - 4 for j.
-4
Let c be (2/3)/(1/6). Let z = -18 + 12. Let o be 72/4 - z/(-2). Solve c*t + o = 5*k, -2*k - 3*t = -3 + 20 for k.
-1
Let y be (2 - 3) + 70 - 2. Let o = y + -46. Solve 1 + 2 = 4*c + 5*g, -3*c + 4*g - o = 0 for c.
-3
Suppose -50 = -0*w - 5*w. Let b = 9 - 9. Suppose 0*u - 2*u = b. Solve -3*g + 2*g = -4*v - 15, u = -v - g - w for v.
-5
Suppose 4 = 3*p - 2*p. Suppose -y = p*y. Solve 3*w + 3*g - 21 = 6, 5*w - 4*g = y for w.
4
Let s = -66 - -85. Suppose 8 = 2*a + 8*g - 4*g, 0 = -3*a + 4*g + 2. Solve a*u - s = -3*z, -2*u - u = -5*z for z.
3
Let c be (-5)/3*(19 + -1)/(-6). Solve -2*v + 18 = -2*h, 2*h - c*v + 48 = 18 for h.
-5
Suppose 4*b - 3*b = -5*w - 2, -4*w + 2 = -b. Solve 5*x + l = -10, w = -3*l + 5 - 20 for x.
-1
Suppose 4*c + 6 = 26. Solve -3 = 4*y + 1, c*k + 20 = -5*y for k.
-3
Let y = -2 - 1. Let m = y - -7. Suppose -k = -m*k + 6. Solve 2 = -4*t + k*d + 12, -3*t + 5*d + 4 = 0 for t.
3
Suppose 0*g = -g - 2, -w + 3 = g. Solve -3*p - w = 2*n, -5 = 5*n - 6*n for p.
-5
Let h = -6 + 4. Let a be 5/(-3)*6/h. Solve 4*x = k - 2*k + 12, -2*k + 18 = a*x for k.
4
Suppose 0 = 5*l - 2*l + 6. Let d = 5 + l. Solve 3*z - 15 = -d*m, 3*m + z + 1 - 10 = 0 for m.
2
Suppose 0 = -24*n + 18*n + 12. Solve -22 = -5*y + 3*f, -n*f - 8 = -y - y for y.
5
Let x be (-1 + 3)/((-2)/(-4)). Let t be 3/1*x/3. Let l = 27 - 22. Solve -3*z - z = l*i - 17, 2*i = -t*z + 14 for z.
3
Suppose -4*n - o + 4 = 3*o, 0 = o + 3. Let b(d) = 3*d**2 + 1. Let w be b(1). Solve 0 = -5*h + 3*p - 24 + 5, -w*h = -n*p + 20 for h.
-2
Let b = -5 + 9. Let p = 4 - 2. Suppose -4*a + 6*a = -3*z + 10, -p*z + 4*a + 12 = 0. Solve 0 = -q - 0*q - 2*f - 7, 24 = -b*q - z*f for q.
-5
Let r(i) = i**2 - 5*i - 9. Let v = -2 - -1. Let j be (v*1)/((-4)/28). Let f be r(j). Solve f = -5*c + k, -c = 4*k + k + 1 for c.
-1
Let r = 6 - 4. Suppose 0 = 3*c + 5*g + 4, -4*c - 3*g = 2*g + r. Solve -4*o + 20 = -c*d, 0 = -3*d + o - 5*o + 10 for d.
-2
Let x be 4 - (1 - -6*3/6). Solve x = -4*m - 4*r + 8, -3*m - 3*r - 2*r = -16 for m.
-3
Let w = -6 + -12. Let l = w + 23. Solve -v + 25 = -l*b, 3*v = -4*b - 14 - 6 for v.
0
Suppose 3*v + 1 + 5 = 3*h, -3*h + 2*v = -7. Solve -3*p = -7*p - h*t + 14, p = -5*t - 5 for p.
5
Suppose -2 = 2*i - i. Let k be 21/(-6)*(i + 0). Let h(y) = -y**3 + 7*y**2 - y + 7. Let g be h(k). Solve -z - 2 - 3 = 4*b, g = 2*z + 2 for b.
-1
Suppose -4*y = -6 + 2. Suppose g + y = 6. Solve v - 19 = g*t - 0, -2*v + 3*t + 10 = 0 for v.
-1
Let h(b) = -b**3 + 6*b**2 + 2. Let i(z) = -7*z - 1. Let s be i(-1). Let j be h(s). Solve 4*q - 2*q + 2*n = 0, 2*q - j*n = 0 for q.
0
Let v(w) = 5*w**2 - w - 4. Let r be v(2). Solve 5*f - r = -a + 13, 4*a - 4*f = -12 for a.
2
Suppose 3 = v, 21 = -0*k + 4*k + 3*v. Solve -3*n + 8 = -k*c - 10, -12 = c - 3*n for c.
-3
Let h(d) = -d**3 - 5*d**2 + 4*d - 7. Let u be h(-6). Let o = -1 + u. Solve 12 = 4*a, c + 5*a - 3 = o*c for c.
4
Suppose -13*f = -16*f. Solve f = 3*q + 5*h + 23, h + 3 = 4*q - 3*q for q.
-1
Let k = -23 + 3. Let g be ((-35)/k)/(2/40). Solve -3*q - 3*m - 32 = q, 3*q + g = -5*m for q.
-5
Let k = 6 + -8. Let j be -1 + (-1 - k - -3). Solve -2*t = -6*t, j = 3*c - 4*t for c.
1
Let s(w) = -w**2 + 28*w - 37. Let q be s(26). Solve -3*d - 17 = -6*n + n, q = 3*n + 3*d for n.
4
Suppose -5*q + 30 = 4*m, 0*q + q + 3*m - 17 = 0. Solve -2*u + 7*u = -5, 4*k - q*u + 2 = 0 for k.
-1
Let n = 4 - -1. Let r be 1 - n/((-10)/68). Let w(i) = -i - 3. Let j be w(-7). Solve -j*p + 5*b = 0, -3*p + 0*b - r = 5*b for p.
-5
Let o(m) = m**3 + 3*m**2 + m + 5. Let s be o(0). Solve 2*p - 10 - 7 = 5*f, p + s*f = -14 for p.
1
Suppose 3*m - 12 = -0*m. Suppose 14 = -2*g + m*g. Solve 3*r - 2*w - 19 = -g*w, 5*r = w - 15 for r.
-2
Suppose -5*h + 4 + 11 = 0. Suppose w + h - 24 = 0. Solve 0*y - 18 = -3*a - 3*y, 2*a + 5*y - w = 0 for a.
3
Let w(l) = l**2 + 8*l + 7. Let d be w(-7). Solve -b - 4*x + 15 = d, 0*b - 2*b + 10 = 4*x for b.
-5
Suppose -4*u = -5*u + 6. Solve -3*p + 3*h = 7*h + 15, -3*h = -3*p + u for p.
-1
Suppose 12 = z + 5*z. Solve o + z = x, -2*o - 2 = 2*x + 14 for x.
-3
Let h(q) = -3*q**3 + 2*q**3 - 2*q + 3*q - q**2. Let p be h(0). Suppose -5*u = -2*x + 30, p = -5*u + 4 - 24. Solve x*g - 3*g = 4*a - 2, 0 = 4*g + 2*a + 24 for g.
-5
Let r be 10/(-3) + (-1)/(-3). Let p be (3/(-1))/(r - -2). Let k be 3 - p*(-1)/(-3). Solve 3*l - l = 6, -2*t - 12 = -k*l for t.
-3
Suppose -5*u = 5*l - l - 21, 11 = 4*l - 5*u. Let m be (10/l)/(1/2). Solve 0 = 3*r + 2*o + 3, -2*r = 2*o - m*o - 11 for r.
1
Suppose 0 = g - 2 - 1. Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
36445, -109295562?
-21859117*y + 23
What is the r'th term of -87969, -89904, -91839, -93774, -95709?
-1935*r - 86034
What is the c'th term of -924292, -924327, -924362, -924397, -924432, -924467?
-35*c - 924257
What is the x'th term of -6597, -14661, -22725, -30789?
-8064*x + 1467
What is the v'th term of -7267, -7260, -7251, -7240?
v**2 + 4*v - 7272
What is the m'th term of 895, 3751, 8587, 15403, 24199?
990*m**2 - 114*m + 19
What is the y'th term of -1919, -7521, -16851, -29915, -46719, -67269?
-y**3 - 1858*y**2 - 21*y - 39
What is the q'th term of -16240713, -16240746, -16240801, -16240878?
-11*q**2 - 16240702
What is the s'th term of 316, 620, 1448, 3064, 5732, 9716, 15280?
44*s**3 - 2*s**2 + 2*s + 272
What is the p'th term of 181240, 181151, 181062, 180973, 180884?
-89*p + 181329
What is the v'th term of -254803, -259115, -263427, -267739, -272051, -276363?
-4312*v - 250491
What is the i'th term of -58026, -57552, -56754, -55626, -54162, -52356?
i**3 + 156*i**2 - i - 58182
What is the t'th term of -43237, -86706, -130185, -173680, -217197, -260742, -304321, -347940?
-t**3 + t**2 - 43465*t + 228
What is the q'th term of 839, 6686, 22525, 53354, 104171, 179974, 285761, 426530?
833*q**3 - 2*q**2 + 22*q - 14
What is the k'th term of 1399223, 1399186, 1399125, 1399040, 1398931, 1398798?
-12*k**2 - k + 1399236
What is the h'th term of 38984, 36657, 34326, 31991, 29652, 27309?
-2*h**2 - 2321*h + 41307
What is the y'th term of 472577, 945149, 1417727, 1890317, 2362925, 2835557?
y**3 - 3*y**2 + 472574*y + 5
What is the o'th term of 8246, 32940, 74078, 131666, 205710?
o**3 + 8216*o**2 + 39*o - 10
What is the t'th term of -827593, -1655140, -2482679, -3310204, -4137709?
t**3 - 2*t**2 - 827548*t - 44
What is the h'th term of -59078108, -59078100, -59078092, -59078084?
8*h - 59078116
What is the c'th term of 54452790, 54452787, 54452784, 54452781, 54452778, 54452775?
-3*c + 54452793
What is the q'th term of -234, 2, 530, 1446, 2846, 4826?
16*q**3 + 50*q**2 - 26*q - 274
What is the x'th term of 155281065, 155281064, 155281063, 155281062?
-x + 155281066
What is the o'th term of 3157649, 3157653, 3157657, 3157661, 3157665, 3157669?
4*o + 3157645
What is the c'th term of -5729042, -5729029, -5729016, -5729003, -5728990?
13*c - 5729055
What is the d'th term of 16556, 16571, 16616, 16691, 16796, 16931, 17096?
15*d**2 - 30*d + 16571
What is the w'th term of -23488954, -23488954, -23488952, -23488948, -23488942?
w**2 - 3*w - 23488952
What is the y'th term of 117054855, 117054851, 117054847?
-4*y + 117054859
What is the x'th term of 517, 3133, 9855, 22699, 43681?
336*x**3 + 37*x**2 + 153*x - 9
What is the b'th term of 447650, 1791324, 4031020, 7166744, 11198502?
b**3 + 448005*b**2 - 348*b - 8
What is the g'th term of -6226917, -6226930, -6226943, -6226956?
-13*g - 6226904
What is the k'th term of 92, 204, 358, 578, 888, 1312?
4*k**3 - 3*k**2 + 93*k - 2
What is the h'th term of -809, -1582, -2255, -2828, -3301, -3674, -3947?
50*h**2 - 923*h + 64
What is the b'th term of 926, 805, 610, 341?
-37*b**2 - 10*b + 973
What is the s'th term of 37303, 38208, 39113?
905*s + 36398
What is the c'th term of -1685, -3878, -6047, -8186, -10289, -12350, -14363, -16322?
c**3 + 6*c**2 - 2218*c + 526
What is the v'th term of -190863, -191338, -191811, -192282, -192751, -193218, -193683?
v**2 - 478*v - 190386
What is the y'th term of -1528, -3459, -5794, -8533, -11676, -15223?
-202*y**2 - 1325*y - 1
What is the q'th term of 408375, 819652, 1230917, 1642164, 2053387, 2464580, 2875737, 3286852?
-q**3 + 411284*q - 2908
What is the j'th term of -80206469, -80206471, -80206471, -80206469, -80206465, -80206459?
j**2 - 5*j - 80206465
What is the o'th term of 5760, 22495, 50196, 88857, 138472, 199035, 270540?
-o**3 + 5489*o**2 + 275*o - 3
What is the b'th term of 12802106, 25604218, 38406330?
12802112*b - 6
What is the m'th term of 301380238, 602760483, 904140730, 1205520979, 1506901230, 1808281483, 2109661738?
m**2 + 301380242*m - 5
What is the y'th term of 150106725, 150106727, 150106729, 150106731?
2*y + 150106723
What is the c'th term of -27277, -54952, -82627, -110302?
-27675*c + 398
What is the l'th term of -481, -4054, -13801, -32824, -64225, -111106, -176569?
-517*l**3 + 15*l**2 + l + 20
What is the c'th term of -3626679, -3626680, -3626681, -3626682, -3626683, -3626684?
-c - 3626678
What is the a'th term of 132798, 133372, 134332, 135678, 137410, 139528?
193*a**2 - 5*a + 132610
What is the v'th term of -156, -225, -112, 279, 1044?
16*v**3 - 5*v**2 - 166*v - 1
What is the v'th term of 5834847, 5834840, 5834833?
-7*v + 5834854
What is the k'th term of 6358, 10157, 13956, 17755?
3799*k + 2559
What is the s'th term of -55247, -441878, -1491269, -3534800, -6903851, -11929802?
-55230*s**3 - 21*s + 4
What is the b'th term of 47774, 47977, 48180, 48383, 48586?
203*b + 47571
What is the i'th term of 7586, 29386, 65718, 116582, 181978, 261906?
7266*i**2 + 2*i + 318
What is the n'th term of -54002, -54017, -54042, -54077?
-5*n**2 - 53997
What is the n'th term of -10157274, -20314544, -30471814, -40629084, -50786354?
-10157270*n - 4
What is the v'th term of -402317, -804577, -1206837, -1609097?
-402260*v - 57
What is the m'th term of -1942, -6430, -13450, -22996, -35062, -49642?
m**3 - 1272*m**2 - 679*m + 8
What is the c'th term of -13193568, -13193569, -13193570, -13193571, -13193572, -13193573?
-c - 13193567
What is the t'th term of -68318311, -68318307, -68318301, -68318293, -68318283, -68318271, -68318257?
t**2 + t - 68318313
What is the b'th term of -5560820, -22243307, -50047448, -88973237, -139020668, -200189735, -272480432, -355892753?
b**3 - 5560833*b**2 + 5*b + 7
What is the p'th term of -424445, -1697745, -3819895, -6790883, -10610697, -15279325, -20796755?
2*p**3 - 424437*p**2 - 3*p - 7
What is the p'th term of 453079131, 453079128, 453079123, 453079116, 453079107?
-p**2 + 453079132
What is the r'th term of 26820, 50905, 74990?
24085*r + 2735
What is the n'th term of 12680, 11626, 10572, 9518?
-1054*n + 13734
What is the x'th term of 564, 334, 108, -114, -332, -546?
2*x**2 - 236*x + 798
What is the v'th term of 64726006, 64726004, 64726002?
-2*v + 64726008
What is the d'th term of -936, -13209, -25482, -37755?
-12273*d + 11337
What is the k'th term of -3011492, -3011614, -3011736, -3011858, -3011980, -3012102?
-122*k - 3011370
What is the g'th term of 19269, 38456, 57643, 76830, 96017?
19187*g + 82
What is the s'th term of -860150, -860679, -861564, -862805?
-178*s**2 + 5*s - 859977
What is the t'th term of -164448393, -328896784, -493345175, -657793566, -822241957?
-164448391*t - 2
What is the i'th term of 1479, 2892, 4333, 5796, 7275, 8764, 10257?
-i**3 + 20*i**2 + 1360*i + 100
What is the z'th term of -45605, -91292, -136973, -182648, -228317, -273980?
3*z**2 - 45696*z + 88
What is the l'th term of -194841, -193264, -190637, -186960?
525*l**2 + 2*l - 195368
What is the l'th term of 203780, 203764, 203738, 203702, 203656?
-5*l**2 - l + 203786
What is the s'th term of 169039, 338312, 507585, 676858, 846131, 1015404?
169273*s - 234
What is the b'th term of 3300, 3057, 2652, 2085, 1356, 465?
-81*b**2 + 3381
What is the j'th term of -8528435, -8528434, -8528433, -8528432?
j - 8528436
What is the k'th term of 1923, 7795, 17629, 31425, 49183, 70903?
1981*k**2 - 71*k + 13
What is the g'th term of -126008, -251952, -377912, -503894, -629904, -755948, -882032?
-g**3 - 2*g**2 - 125931*g - 74
What is the s'th term of -22, -467, -1790, -4447, -8894, -15587?
-76*s**3 + 17*s**2 + 36*s + 1
What is the i'th term of 30173, 121104, 272651, 484814, 757593, 1090988?
30308*i**2 + 7*i - 142
What is the x'th term of -9984755, -9984741, -9984727, -9984713?
14*x - 9984769
What is the g'th term of -1805, -7022, -15655, -27704, -43169, -62050?
-1708*g**2 - 93*g - 4
What is the w'th term of 9344, 22631, 44770, 75755, 115580?
-w**3 + 4432*w**2 - 2*w + 4915
What is the t'th term of 8444, 22791, 37138, 51485, 65832, 80179?
14347*t - 5903
What is the u'th term of 1487200, 2974382, 4461564, 5948746, 7435928?
1487182*u + 18
What is the m'th term of 326988, 326978, 326968?
-10*m + 326998
What is the b'th term of -36263118, -36263109, -36263100, -36263091, -36263082?
9*b - 36263127
What is the g'th term of 5
|
{
"pile_set_name": "DM Mathematics"
}
|
picked without replacement from {b: 1, y: 1, h: 2, s: 1}.
1/10
What is prob of sequence dd when two letters picked without replacement from {j: 2, i: 3, w: 1, p: 5, d: 2, x: 6}?
1/171
Calculate prob of sequence ogoo when four letters picked without replacement from ggoooo.
2/15
Calculate prob of sequence ourg when four letters picked without replacement from {r: 5, g: 1, b: 6, o: 1, u: 1, s: 3}.
1/11424
Three letters picked without replacement from zzyzqzzgbq. Give prob of sequence qbg.
1/360
Three letters picked without replacement from {a: 2, z: 10, t: 4, l: 1}. What is prob of sequence aza?
1/204
What is prob of sequence ng when two letters picked without replacement from angnzagnnnznngna?
1/10
What is prob of sequence mmmk when four letters picked without replacement from {w: 7, m: 5, p: 2, k: 4}?
1/306
Calculate prob of sequence ui when two letters picked without replacement from {m: 3, i: 4, a: 4, u: 3}.
6/91
What is prob of sequence ae when two letters picked without replacement from {w: 7, a: 7, e: 2}?
7/120
Three letters picked without replacement from wwwwwwwiwwwiiww. What is prob of sequence wii?
12/455
Two letters picked without replacement from {f: 3, d: 1, p: 3, t: 8, v: 1, n: 2}. Give prob of sequence fn.
1/51
Two letters picked without replacement from {y: 3, a: 1, e: 1, c: 8, h: 4}. What is prob of sequence ah?
1/68
Calculate prob of sequence xcc when three letters picked without replacement from {c: 11, x: 9}.
11/76
Three letters picked without replacement from {j: 1, h: 2, d: 1, o: 3, l: 4, w: 4}. What is prob of sequence lwh?
16/1365
Four letters picked without replacement from asssssassss. What is prob of sequence aass?
1/55
Two letters picked without replacement from cmqoawqacoomoc. What is prob of sequence qm?
2/91
Four letters picked without replacement from biogobxxxioxgxee. Give prob of sequence gixg.
1/2184
Calculate prob of sequence ymio when four letters picked without replacement from yffitmfmmito.
1/1980
What is prob of sequence gk when two letters picked without replacement from gkk?
1/3
Three letters picked without replacement from {g: 1, m: 1, u: 1, h: 2, x: 2}. What is prob of sequence mmg?
0
Four letters picked without replacement from {y: 2, p: 2, c: 1, j: 1}. Give prob of sequence yjyj.
0
Calculate prob of sequence dege when four letters picked without replacement from eoorceecgeceedcdc.
1/952
What is prob of sequence hz when two letters picked without replacement from hhzzzzhzzhzh?
35/132
What is prob of sequence us when two letters picked without replacement from jjsspsdpduas?
1/33
What is prob of sequence pff when three letters picked without replacement from fffppppfpf?
5/36
Four letters picked without replacement from {a: 8, j: 3, d: 5}. What is prob of sequence jdjj?
1/1456
Two letters picked without replacement from {r: 6}. What is prob of sequence rr?
1
What is prob of sequence ss when two letters picked without replacement from {s: 7, b: 7}?
3/13
Calculate prob of sequence rut when three letters picked without replacement from uuuuutruuttttrtudc.
1/51
Calculate prob of sequence shjs when four letters picked without replacement from {s: 4, m: 2, j: 2, h: 6, q: 2, w: 1}.
3/1190
Four letters picked without replacement from {y: 3, w: 7, t: 2, k: 3, g: 5}. What is prob of sequence gttk?
1/3876
Three letters picked without replacement from uaffuuf. Give prob of sequence fuu.
3/35
What is prob of sequence tk when two letters picked without replacement from {v: 7, t: 3, k: 3}?
3/52
Calculate prob of sequence om when two letters picked without replacement from {l: 4, m: 5, o: 4, h: 2}.
2/21
What is prob of sequence ju when two letters picked without replacement from {x: 5, k: 3, u: 7, j: 3, t: 2}?
21/380
What is prob of sequence oaao when four letters picked without replacement from aaooaaaaaaoa?
2/55
Two letters picked without replacement from ppoopppp. Give prob of sequence po.
3/14
What is prob of sequence gsss when four letters picked without replacement from sssgsssssssggggssss?
455/3876
Four letters picked without replacement from {a: 5, v: 2, z: 4, n: 2}. Give prob of sequence vvnn.
1/4290
Four letters picked without replacement from ppfinninipnn. Give prob of sequence nppf.
1/396
Three letters picked without replacement from {y: 7, s: 9}. Give prob of sequence sss.
3/20
What is prob of sequence ctxv when four letters picked without replacement from {x: 1, p: 1, c: 2, t: 1, f: 1, v: 2}?
1/420
Two letters picked without replacement from pvtptuqttvvvqq. Give prob of sequence qt.
6/91
Calculate prob of sequence wwww when four letters picked without replacement from wwwwwww.
1
Calculate prob of sequence st when two letters picked without replacement from {m: 2, t: 1, b: 1, u: 10, s: 2}.
1/120
What is prob of sequence ww when two letters picked without replacement from awvavvwaaa?
1/45
What is prob of sequence rn when two letters picked without replacement from oarmnfn?
1/21
Calculate prob of sequence yy when two letters picked without replacement from {h: 9, y: 9}.
4/17
Two letters picked without replacement from dddddjdddjdjdddddjdd. Give prob of sequence jj.
3/95
What is prob of sequence zee when three letters picked without replacement from ezezzezzez?
1/10
What is prob of sequence qcg when three letters picked without replacement from {q: 12, g: 4, e: 3, c: 1}?
2/285
Three letters picked without replacement from {i: 2, f: 1, l: 2, p: 1, r: 2, d: 1}. What is prob of sequence rdl?
1/126
Two letters picked without replacement from {u: 2, n: 5, e: 1, f: 3, r: 1}. Give prob of sequence ef.
1/44
Three letters picked without replacement from {l: 2, v: 2, h: 1, b: 2, d: 1}. What is prob of sequence hbv?
1/84
What is prob of sequence cce when three letters picked without replacement from exmmememmmccmxxm?
1/560
Two letters picked without replacement from pprrprdrdrkkrpdriudi. Give prob of sequence ri.
7/190
Three letters picked without replacement from wfafawfafwaaaaaawaa. What is prob of sequence wwf?
8/969
Two letters picked without replacement from {d: 1, a: 1, o: 4, q: 5, j: 9}. What is prob of sequence jj?
18/95
What is prob of sequence zj when two letters picked without replacement from {j: 12, z: 1, m: 1}?
6/91
Four letters picked without replacement from {j: 5, p: 9}. Give prob of sequence jjjj.
5/1001
What is prob of sequence syy when three letters picked without replacement from yssssyssyys?
14/165
Calculate prob of sequence vsv when three letters picked without replacement from sgv.
0
Calculate prob of sequence xss when three letters picked without replacement from {w: 1, n: 1, s: 2, x: 3}.
1/35
Four letters picked without replacement from ccvvvcvvcvvvvvvc. Give prob of sequence cvvc.
55/1092
Four letters picked without replacement from {l: 2, y: 1, q: 4, i: 3, k: 1}. What is prob of sequence llki?
1/1320
Two letters picked without replacement from {e: 3, r: 5}. Give prob of sequence er.
15/56
What is prob of sequence kkwb when four letters picked without replacement from {g: 2, k: 4, b: 2, w: 1}?
1/126
What is prob of sequence kggk when four letters picked without replacement from {k: 3, p: 11, g: 4}?
1/1020
Four letters picked without replacement from {v: 8, t: 5, p: 3}. Give prob of sequence pptv.
1/182
Two letters picked without replacement from {e: 4, o: 7}. What is prob of sequence oe?
14/55
Three letters picked without replacement from jjppvepjjeppecf. What is prob of sequence pcp?
2/273
Two letters picked without replacement from {k: 1, s: 1, v: 1, f: 3, h: 1}. What is prob of sequence sk?
1/42
Calculate prob of sequence dnnn when four letters picked without replacement from nddndndnnn.
2/21
What is prob of sequence uu when two letters picked without replacement from xouuaouuuouodoouoaa?
7/57
Three letters picked without replacement from {z: 3, j: 1, k: 5}. Give prob of sequence kkk.
5/42
What is prob of sequence mo when two letters picked without replacement from omotootmooooomooo?
9/68
Two letters picked without replacement from vzzvvvvvxzvzazzzzzaz. Give prob of sequence xa.
1/190
Calculate prob of sequence nhhh when four letters picked without replacement from {h: 10, n: 4}.
120/1001
What is prob of sequence fbk when three letters picked without replacement from zkzyzkzkbzzkkzzkf
|
{
"pile_set_name": "DM Mathematics"
}
|
0001
What is -20479400 rounded to the nearest one hundred thousand?
-20500000
What is -112235 rounded to the nearest 1000?
-112000
Round 0.006823066 to six decimal places.
0.006823
Round -27020.985 to the nearest 1000.
-27000
What is -21602.49 rounded to the nearest one hundred?
-21600
Round 0.11100938 to 4 decimal places.
0.111
Round -0.1941882 to three decimal places.
-0.194
Round 7300300 to the nearest 10000.
7300000
Round -4191200 to the nearest ten thousand.
-4190000
What is 0.0002335836 rounded to 7 decimal places?
0.0002336
What is -34441.4 rounded to the nearest one hundred?
-34400
What is -18758930 rounded to the nearest 100000?
-18800000
Round 19783.425 to the nearest ten.
19780
Round 0.06682058 to five decimal places.
0.06682
Round 234.5555 to zero decimal places.
235
Round -0.0803132 to 2 dps.
-0.08
Round 0.00007529913 to 6 dps.
0.000075
Round -632.7785 to 1 decimal place.
-632.8
Round -267421.2 to the nearest one hundred.
-267400
Round 630358 to the nearest 10000.
630000
Round 1544.494 to the nearest one hundred.
1500
Round -21958550 to the nearest ten thousand.
-21960000
What is -0.0001934896 rounded to six decimal places?
-0.000193
Round -679695.44 to the nearest 100000.
-700000
What is 0.0000960756 rounded to 6 decimal places?
0.000096
Round -1232.4144 to the nearest ten.
-1230
Round 2258.0982 to the nearest integer.
2258
Round 1333.818 to 0 decimal places.
1334
What is -0.0000011715619 rounded to six decimal places?
-0.000001
What is 94692.33 rounded to the nearest 100?
94700
What is 39.410997 rounded to 2 decimal places?
39.41
What is 33152.38 rounded to the nearest 100?
33200
What is -6797439 rounded to the nearest one million?
-7000000
Round -0.000014528688 to seven decimal places.
-0.0000145
What is -273.462 rounded to zero decimal places?
-273
What is -8.55698 rounded to 0 decimal places?
-9
What is 0.42744926 rounded to 2 decimal places?
0.43
What is 0.000684581 rounded to six dps?
0.000685
What is 0.007691101 rounded to five dps?
0.00769
Round 0.0000108987 to seven dps.
0.0000109
What is -0.0000181947 rounded to 7 dps?
-0.0000182
Round -185653.49 to the nearest 1000.
-186000
Round -4615.677 to the nearest 10.
-4620
Round -0.0947789 to two dps.
-0.09
What is -8747796.4 rounded to the nearest 10000?
-8750000
What is 31369190 rounded to the nearest one million?
31000000
What is 2565.3443 rounded to the nearest one thousand?
3000
Round -0.00000048748 to six decimal places.
0
Round -162332.9 to the nearest 1000.
-162000
Round -28347600 to the nearest one hundred thousand.
-28300000
What is -3402777 rounded to the nearest one thousand?
-3403000
What is -0.00231917 rounded to 5 decimal places?
-0.00232
Round -6.7939617 to one decimal place.
-6.8
What is 6.67771 rounded to two dps?
6.68
What is 0.000000809355 rounded to six dps?
0.000001
What is -503484 rounded to the nearest one hundred thousand?
-500000
Round -0.0012836702 to four decimal places.
-0.0013
What is 156186.74 rounded to the nearest 10000?
160000
Round 0.8065106 to two dps.
0.81
Round 2360915 to the nearest one thousand.
2361000
What is -0.0233529 rounded to two decimal places?
-0.02
What is -0.00953404 rounded to five decimal places?
-0.00953
Round 0.0020885 to 3 dps.
0.002
What is 0.022338891 rounded to 5 decimal places?
0.02234
What is -307555 rounded to the nearest 100000?
-300000
What is 0.00001690277 rounded to seven decimal places?
0.0000169
Round -0.0184667 to 2 decimal places.
-0.02
Round 26514.063 to the nearest ten.
26510
What is 48246840 rounded to the nearest one million?
48000000
What is 3955.87 rounded to the nearest one hundred?
4000
What is 0.000007457329 rounded to 7 decimal places?
0.0000075
Round -2755468.5 to the nearest 1000.
-2755000
What is -0.0000011332115 rounded to seven dps?
-0.0000011
Round 17.8986 to zero decimal places.
18
Round -0.00000082566875 to 7 decimal places.
-0.0000008
Round 0.0000191792 to 6 dps.
0.000019
Round 6.00715 to the nearest integer.
6
What is -4390510 rounded to the nearest one hundred thousand?
-4400000
Round 1954.7 to the nearest 10.
1950
What is 0.0018473 rounded to four decimal places?
0.0018
What is 1034187000 rounded to the nearest 1000000?
1034000000
What is 0.37376395 rounded to four dps?
0.3738
Round 0.000308023 to four dps.
0.0003
What is 3146423 rounded to the nearest ten thousand?
3150000
Round 1253.598 to the nearest one hundred.
1300
Round -13618.146 to the nearest one thousand.
-14000
Round -1415.017 to the nearest 10.
-1420
Round -4.611714 to 2 decimal places.
-4.61
What is -14487400 rounded to the nearest one million?
-14000000
Round 386.08391 to 1 dp.
386.1
What is 0.000504592 rounded to 6 decimal places?
0.000505
What is -0.0001549134 rounded to four decimal places?
-0.0002
What is -0.012568643 rounded to 4 decimal places?
-0.0126
Round -0.000262489 to six dps.
-0.000262
Round -0.02039506 to 3 dps.
-0.02
Round -667.78 to the nearest 100.
-700
What is 0.2873886 rounded to 1 dp?
0.3
What is 6935700 rounded to the nearest one hundred thousand?
6900000
Round -0.00038906 to six decimal places.
-0.000389
What is 0.01153315 rounded to 5 dps?
0.01153
What is -0.3084367 rounded to two decimal places?
-0.31
Round -0.0019726495 to six decimal places.
-0.001973
What is -15.03942 rounded to two dps?
-15.04
Round -24594.426 to the nearest 1000.
-25000
What is 7666.67 rounded to the nearest one thousand?
8000
What is 4.20579 rounded to one decimal place?
4.2
Round 13679.216 to zero dps.
13679
What is -0.816594 rounded to 3 decimal places?
-0.817
Round -27.12364 to two dps.
-27.12
Round -736014.91 to the nearest one hundred thousand.
-700000
Round -0.01079592 to 3 decimal places.
-0.011
Round -5246195 to the nearest one thousand.
-5246000
Round -3404.9686 to the nearest one hundred.
-3400
Round -2033.925 to the nearest ten.
-2030
Round 1243287.3 to the nearest 1000.
1243000
Round 4.535824 to one dp.
4.5
What is 3851.55 rounded to the nearest 100?
3900
What is -0.00006896382 rounded to seven decimal places?
-0.000069
Round -0.03184288 to 4 dps.
-0.0318
What is -0.00000124978 rounded to 6 decimal places?
-0.000001
Round -907079.2 to the nearest 100000.
-900000
What is 0.0001067407 rounded to six dps?
0.000107
Round -66898.8 to the nearest one hundred.
-66900
What is 3971.75 rounded to the nearest 1000?
4000
What is -0.00006680508 rounded to five dps?
-0.00007
Round -31493660 to the nearest one hundred thousand.
-31500000
What is 48.4619 rounded to the nearest ten?
50
What is 0.0005892124 rounded to four dps?
0.0006
What is -4583.781 rounded to the nearest one thousand?
-5000
What is 0.0032559893 rounded to six dps?
0.003256
What is 68833000 rounded to the nearest 100000?
68800000
Round 2.245907 to one decimal place.
2.2
What is -3080180 rounded to the nearest one million?
-3000000
What is 0.0000092245 rounded to 6 dps?
0.000009
Round -77787350 to the nearest 10000.
-77790000
What is 0.00009972344 rounded to six dps?
0.0001
Round 275163300 to the nearest one million.
275000000
What is 0.0000011726247 rounded to seven decimal places?
0.0000012
What is 0.1691921 rounded to 2 dps?
0.17
What is 843.778 rounded to the nearest one hundred?
800
What is -8719074800 rounded to the nearest one million?
-8719000000
Round -0.00247199 to 3 decimal places.
-0.002
What is -174.136 rounded to the nearest integer?
-174
Round -2.480471 to 2 dps.
-2.48
Round -9762.24 to the nearest 1000.
-10000
Round -10.5088 to the nearest 10.
-10
What is -0.0000172536 rounded to seven decimal places?
-0.0000173
Round -0.003718543 to 6 dps.
-0.003719
Round -4530.259 to the nearest 10.
-4530
Round 11323580 to the nearest 100000.
11300000
What is -1.6547782 rounded to one dp?
-1.7
Round -0.91439 to 1 decimal place.
-0.9
What is 1126.924 rounded to the nearest integer?
1127
What is 3111965.6 rounded to the nearest 1000?
3112000
What is -18.121643 rounded to one dp?
-18.1
What is -559466.5 rounded to the nearest 100000?
-600000
What is -0.0000013788212 rounded to 7 dps?
-0.0000014
Round -22705870 to the nearest one hundred thousand.
-22700000
Round 46121390 to the nearest one hundred thousand.
46100000
Round -4.14797 to one decimal place.
-4.1
What is -0.00005302758 rounded to 6 dps?
-0.000053
What is 0.0292891 rounded to three dps?
0.029
Round -7
|
{
"pile_set_name": "DM Mathematics"
}
|
*v.
-v**3
Collect the terms in 10*z**2 + 19*z**2 - 26*z**2.
3*z**2
Collect the terms in 46187*h**3 - 46186*h**3 - 2 + 2.
h**3
Collect the terms in 691*y**2 + 34*y**2 + 105*y**2.
830*y**2
Collect the terms in -130 - 4*i + 130.
-4*i
Collect the terms in 2 + 1 - 3 + 125*c**2.
125*c**2
Collect the terms in -3*g - 269 + 574 - 305.
-3*g
Collect the terms in 381*p**3 - 92*p**3 - 97*p**3 - 93*p**3 - 97*p**3.
2*p**3
Collect the terms in 573*m**3 + 574*m**3 - 1150*m**3.
-3*m**3
Collect the terms in 8*k - 4*k + 2*k + 6*k.
12*k
Collect the terms in 1368 - 1368 - 54*c**2.
-54*c**2
Collect the terms in 377 - 377 - 4*o.
-4*o
Collect the terms in 213*s**3 + 379*s**3 + 397*s**3.
989*s**3
Collect the terms in -13*o**2 - 13*o**2 - 2*o**2.
-28*o**2
Collect the terms in -7 + 1 + 6 - 9*z.
-9*z
Collect the terms in 139*o + 141*o - 407*o + 142*o.
15*o
Collect the terms in 1 - 4*g**2 + 6*g**2 - 1 + 603*g.
2*g**2 + 603*g
Collect the terms in -d - 7 + 0*d - 3*d.
-4*d - 7
Collect the terms in 0*d**2 + 141 - d**2 - 141.
-d**2
Collect the terms in 3*k - 3*k + 224*k**2.
224*k**2
Collect the terms in 6*k**3 - 19*k**3 + 26*k**3 + 1.
13*k**3 + 1
Collect the terms in 5*g**3 - 32*g + 32*g.
5*g**3
Collect the terms in 2*u + 0*u - 3*u - 29*u.
-30*u
Collect the terms in 3*g + 3*g**2 + g**2 - 18*g**2 - 6*g**2.
-20*g**2 + 3*g
Collect the terms in 5*r + 8*r + 8*r + 5*r - 21*r.
5*r
Collect the terms in 2 - 4 - 25*p**3 - 62*p**3 + 12*p**3.
-75*p**3 - 2
Collect the terms in -7*d**2 + 2*d - 22*d**2 - 20*d**2 - 3*d.
-49*d**2 - d
Collect the terms in 0*r**3 - 3*r**3 + 9*r**3.
6*r**3
Collect the terms in 741 - 8*r**3 - 741.
-8*r**3
Collect the terms in -9*p**3 - 15*p + 15*p.
-9*p**3
Collect the terms in 10*d**2 - 22084*d + 22084*d.
10*d**2
Collect the terms in 52*j**3 + 24*j**3 - 406*j**3.
-330*j**3
Collect the terms in 3*g**2 - 9*g**2 - 6*g**2.
-12*g**2
Collect the terms in 4 - 12 + 6 - 9*d.
-9*d - 2
Collect the terms in -46*f**2 + 24*f**2 + 0*f**2 + 21*f**2.
-f**2
Collect the terms in -2 + 2 - 2 + 37*z + 119*z.
156*z - 2
Collect the terms in 24*r**3 - 5*r**3 - 5*r**3 - 11*r**3.
3*r**3
Collect the terms in 15*j + 67*j - 9*j.
73*j
Collect the terms in 5*p**3 + 4*p**2 + 0*p**2 + 0*p**2.
5*p**3 + 4*p**2
Collect the terms in 990*f**3 + 1 - 1.
990*f**3
Collect the terms in 24*k + 19*k - 68*k + 24*k.
-k
Collect the terms in -101 + g + 101.
g
Collect the terms in -1568*d + 0 + 1591*d + 0.
23*d
Collect the terms in 2*p**3 + p**3 - 2*p**3.
p**3
Collect the terms in 29*v - 52*v - 48*v + 70*v.
-v
Collect the terms in 3*w**3 - 43*w**3 + 41*w**3.
w**3
Collect the terms in -3*d + 31*d + 3 - 3.
28*d
Collect the terms in -3*a - 4*a - 4*a + 4*a.
-7*a
Collect the terms in 606 - 304 - r - 302.
-r
Collect the terms in 1 - 44*s - 1 - 17*s.
-61*s
Collect the terms in 20*b**2 + 10*b**2 + 16*b**2 - 39*b**2.
7*b**2
Collect the terms in 2 + 69*f**2 - 2.
69*f**2
Collect the terms in 7 - 3 - 72*z - 4.
-72*z
Collect the terms in -3*x + 248*x**3 - 493*x**3 + 3*x + 242*x**3.
-3*x**3
Collect the terms in -27 + 27 + 392*m.
392*m
Collect the terms in 222*n - 222*n + 22*n**3.
22*n**3
Collect the terms in -6*f**2 + 11*f**2 + 2 + 10*f**2 - 2.
15*f**2
Collect the terms in 7*c - 16*c**2 - 7*c + 68*c**2.
52*c**2
Collect the terms in -4*r - 4*r + 8*r - 86*r**2.
-86*r**2
Collect the terms in -112*z - 51*z - 115*z.
-278*z
Collect the terms in -7*v**3 - 7*v**3 + 7*v**3 - 2*v**3.
-9*v**3
Collect the terms in 67*u - 33*u - 26*u + 0*u.
8*u
Collect the terms in 99*z**2 - 295*z**2 + 104*z**2 + 96*z**2.
4*z**2
Collect the terms in 45*h**2 + 43*h**2 + 47*h**2.
135*h**2
Collect the terms in 4*u**3 - u**3 + u**3 - 2*u**3.
2*u**3
Collect the terms in -22*x + 0*x + 4*x + 3.
-18*x + 3
Collect the terms in 8*t**3 + t**3 + 16*t**3.
25*t**3
Collect the terms in -87*t - 116*t + 42*t.
-161*t
Collect the terms in -483*g + 486*g + 23 - 9 - 14.
3*g
Collect the terms in 2227*i + 2227*i - 4412*i.
42*i
Collect the terms in 0 + 3 - 3 + y.
y
Collect the terms in 4*i**2 - 4*i**2 + 5*i**2 - 5*i**2 - i**2.
-i**2
Collect the terms in -c - 606 + 7*c - 2*c - 5*c.
-c - 606
Collect the terms in -10*d**3 + 33*d**3 - 8*d**3 - 21*d**3.
-6*d**3
Collect the terms in 218 + n + 222 - 666 + 226.
n
Collect the terms in -55*z + 13*z - 7*z**3 + 20*z + 22*z.
-7*z**3
Collect the terms in -2*p**2 + 4*p**2 - 6*p**2.
-4*p**2
Collect the terms in 25*a - 36*a + 29 - 29.
-11*a
Collect the terms in 49*z - 2 + 3 - 12*z.
37*z + 1
Collect the terms in 220*k**2 + 213*k**2 + 220*k**2 - 651*k**2.
2*k**2
Collect the terms in -2 + 31 + 2*k + 22 - 3*k.
-k + 51
Collect the terms in 4 - 4 - 523*f**3.
-523*f**3
Collect the terms in 15*c**2 + 0 + 2 - 16*c**2 - 2.
-c**2
Collect the terms in 49*t**3 - 100*t**3 - 2*t**2 + 54*t**3.
3*t**3 - 2*t**2
Collect the terms in -3*z**3 + 0*z**2 - 5*z**2 + 5*z**2.
-3*z**3
Collect the terms in 12*j**2 - j**3 - j**3 + 6*j**2.
-2*j**3 + 18*j**2
Collect the terms in -233*n**2 + n + 0*n + 0*n.
-233*n**2 + n
Collect the terms in 159*x**2 - 76*x**2 - 79*x**2.
4*x**2
Collect the terms in 213*a - 12*a**3 + a**3 - 425*a + 212*a.
-11*a**3
Collect the terms in 20*m**3 + 15*m - 15*m.
20*m**3
Collect the terms in -1356*u**2 + 1356*u**2 - u**3.
-u**3
Collect the terms in -461 - 19*j + 461.
-19*j
Collect the terms in 11*x**2 + 12*x**2 - 30*x**2.
-7*x**2
Collect the terms in -9*p**2 + 0*p**2 + 9*p**2 + 2*p**3.
2*p**3
Collect the terms in -16 + l**2 + 16 - l + l.
l**2
Collect the terms in 152*r - 13*r + 58*r.
197*r
Collect the terms in 18*j**3 + j**3 + 12*j**3.
31*j**3
Collect the terms in 7*m**2 - 3*m**2 - m**2 - m**2.
2*m**2
Collect the terms in 6*v**3 + 3*v**2 - v**2 + 2*v - 2*v**2.
6*v**3 + 2*v
Collect the terms in -71*h - 74*h + 145*h + 56*h**3.
56*h**3
Collect the terms in -33610*u + 33610*u - 3*u**2.
-3*u**2
Collect the terms in -6*j + 12 + 0*j + 5*j - j.
-2*j + 12
Collect the terms in -5*k**3 + 381623*k**2 - 381623*k**2.
-5*k**3
Collect the terms in 6*f - 8*f + 2*f - 284*f**3.
-284*f**3
Collect the terms in 27*z - 83*z + 28*z + 26*z.
-2*z
Collect the terms in 10*m + 7*m - 23*m.
-6*m
Collect the terms in -147*o**3 + 21*o**2 - 21*o**2.
-147*o**3
Collect the terms in -4*o**3 + 74*o**2 - 74*o**2.
-4*o**3
Collect the terms in 8*o**3 + 1211 - 1211.
8*o**3
Collect the terms in -27 - 14*k**3 - 4*k**3 + 27.
-18*k**3
Collect the terms in 5641*r**2 - 11285*r**2 + 5644*r**2 - 6*r**3.
-6*r**3
Collect the terms in 31*s**2 + 34*s**2 + 26*s**2 - 105*s**2 + 23*s**2.
9*s**2
Collect the terms in 1094556 - 1094556 + 8*h**3.
8*h**3
Collect the terms in i**3 - 309*i**2 + 309*i**2.
i**3
Collect the terms in -50511 + 101024 + n**3 - 50513.
n**3
Collect the terms in 2*h + 0*h + 159*h**2 + 56*h**2.
215*h**2 + 2*h
Collect the terms in -70 + 3 + 67 - 7*n.
-7*n
Collect the terms in 14*m**2 + 2*m**2 - 3*m**2 - 13*m**2 - m**3.
-m**3
Collect the terms in -8*t**3 + 0*t**2 - 3*t**3 - 4*t**2.
-11*t**3 - 4*t**2
Collect the terms in 4 + 1 - 4*o**3 - 3.
-4*o**3 + 2
Collect the terms in 0*j - j + 8*j.
7*j
Collect the terms in -26*r - 48821 + 48821.
-26*r
Collect the terms in -c**3 + 4*c**3 - 6*c**3 - 4*c**3.
-7*c**3
Collect the terms in 203 + 202 - 3*k - 405.
-3*k
Collect the terms in -2168*v**2 + 4335*v**2 - 2169*v**2.
-2*v**2
Collect the terms in -18*q**2 + 17*q**2 - 81*q + 39*q + 42*q.
-q**2
Collect the terms in 2*b + 0*b + 5*b**2 - 2*b.
5*b**2
Collect the terms in -3*w**3 - 16289 + 16289.
-3*w**3
Collect the terms in -6*z - 5*z**2 - 4*z + 10*z.
-5*z**2
Collect the terms in -87 - 86 + 56*j + 173.
56*j
Collect the terms in -5*k - 10*k - 4*k.
-19*k
Collect the terms in a + 11*a + 17*a.
29*a
Collect the terms in -110*u - 118*u + 227*u.
-u
Collect the terms in -4*f**2 + 22*f**2 + 0*f + 0*f.
18*f**2
Collect the terms in 4*p**2 - 212*p**3 - 4*p**2 - 713*p**3.
-925*p**3
Collect the terms in -18*a**2 + a**2 - 4*a**2.
-21*a**2
Collect the terms in -12*d + 0*d + 11*d.
-d
Collect the terms in -g**2 + 2*g**2 + 0*g**2 + 0*g**2.
g**2
Collect the terms in 3004 + 8*a**2 - 3004.
8*a**2
Collect the terms in 3*z + 16*z - 10*z - 4*z - 3*z.
2*z
Collect the terms in -62*o - 60*o + 177*o - 45*o.
10*o
Collect the terms in 0 - 112*j**3 + 0.
-112*j**3
Collect the terms in -12*k**2 - 18*k**2 - 18*k**2 + 14*k**2.
-34*k**2
Collect the terms in 101 + 108 + 4*y - 209.
4*y
Collect the terms in -90*q**3 + 74*q**3 + 25*q**3.
9*q**3
Coll
|
{
"pile_set_name": "DM Mathematics"
}
|
-1 - 1 + 0) + (-5 + 0 + 2)*(0 + 2*c + 0) as o + l*c and give l.
-12
Rearrange (-2*j**2 + j - j)*(4 - 2*j - 4) + (46*j - 46*j - 17*j**2)*(1 + j - 1) to the form h + c*j**3 + a*j + r*j**2 and give c.
-13
Rearrange 2*w - 2*w + 2*w + (0*w - 11*w + 2*w)*(0 + 5 - 2) + 2*w - 5*w + 2*w to o*w + a and give o.
-26
Express 5*o + 17*o - 8*o + 0 + 0 - o + (-4 + 2 + 0)*(-2*o + 0*o + 4*o) + 2*o + 0*o - 4*o as f*o + x and give f.
7
Rearrange -6*t - 4*t + t + 4*t to s + u*t and give u.
-5
Rearrange 6*n**2 + 17*n**3 - 8*n**2 + 22*n - 25*n to the form l*n**3 + i*n + v*n**2 + s and give i.
-3
Rearrange -21 - 3*m**3 + 24 - 3*m**3 to the form z*m**2 + k*m**3 + y*m + o and give k.
-6
Express (-2*l**3 - l**3 + 2*l**3)*(-4 + 2 + 1) + 38*l**3 + 6*l**3 - 12*l**3 as y + z*l**3 + q*l**2 + g*l and give z.
33
Rearrange -47*q - 1 + 22*q + 42*q to the form u + b*q and give u.
-1
Rearrange -8*l + 0*l**2 + 4*l**2 - l**3 + 3*l + 2*l to b*l**3 + z*l + d*l**2 + o and give b.
-1
Express h**4 + 5*h**2 + 385*h + 6*h**2 - 383*h as k*h**2 + d*h**4 + f*h**3 + j + x*h and give d.
1
Rearrange (4*m - m - 4*m)*(0*m + 5*m - 3*m) + (-1 + 1 + m**2)*(2 + 1 - 5) to n*m + f*m**2 + z and give f.
-4
Express (18*k + 40*k**2 - 41*k**2 + 6*k)*(4*k + 0*k - 2*k) as d*k**2 + v*k**3 + o + r*k and give v.
-2
Express 7 + 4*t**3 - 4*t**3 - t**3 as m*t**2 + k*t**3 + v*t + u and give u.
7
Express -8 - 13*y + 13*y + 2*y**2 as o*y**2 + x + j*y and give o.
2
Express (-5*a - 10*a + 6*a)*(-a + 1 - 1) - 3*a**2 - 7 + 7 in the form m + i*a**2 + n*a and give i.
6
Rearrange (-3*a - 6 + 6)*(0 - 5 + 4)*(1 + 4*a - 1) to the form i*a**2 + q + b*a and give i.
12
Express 38*h - 18*h - 30*h in the form u*h + j and give u.
-10
Rearrange (69 + 18*o - 69)*(-3 - 3*o + 3)*(-3*o + 3 - 3) to the form d*o + k*o**2 + n*o**3 + b and give n.
162
Rearrange (2*i + i + 2 + 0)*(2*i**2 + i - i) to the form g*i**3 + y + k*i + j*i**2 and give g.
6
Rearrange (18 + 13*a - 18)*(1 + 0 + 1) + 2*a + a - 2*a + (3 + 1 - 2)*(-2*a + 0 + 0) to the form i + o*a and give o.
23
Express -25*o**2 + 14*o**2 - 3*o**2 in the form p*o**2 + f + h*o and give p.
-14
Rearrange -4*y**2 - 32235*y**3 + 32235*y**3 - 2*y**4 + y to m*y + c + g*y**2 + z*y**4 + b*y**3 and give m.
1
Rearrange -3 - 2 - 1 - 4*j + 0 to the form b + o*j and give o.
-4
Express (3 + n - 4 - 14*n)*(-10*n + 10*n + 11*n) as x + o*n**2 + v*n and give v.
-11
Express -7*f - 2*f**2 + f**3 - 2 + 7*f + 3 in the form i*f**3 + w*f + s + d*f**2 and give i.
1
Rearrange -3*d**4 + d**3 - 3*d + 8*d + 14*d**4 to the form p*d**4 + b + c*d**3 + g*d + q*d**2 and give p.
11
Express n**2 - 16*n**2 + 2*n**2 in the form o + s*n**2 + i*n and give s.
-13
Rearrange -11*r - 15*r + 4*r to the form p + j*r and give j.
-22
Express -1 - q - 285*q**2 + 299*q**2 + q as y*q**2 + m + w*q and give y.
14
Rearrange 2*c**4 - c - 33*c**3 - 8 + 14*c**3 + 19*c**3 to f*c**3 + i*c**2 + q*c**4 + o*c + h and give o.
-1
Express -18*u**2 + 31*u**2 + 42*u**2 + 4*u**2 in the form m*u**2 + i + w*u and give m.
59
Rearrange -h**2 - 3*h - 2*h + 0*h + 2*h to w*h**2 + m*h + z and give m.
-3
Express 15*x**3 + 2*x**2 + 8*x**2 + 2*x - 10*x**2 in the form v*x + n + w*x**2 + m*x**3 and give v.
2
Express -4 + 39*l + 57*l - 71*l in the form z + o*l and give o.
25
Express (-y - 3*y + 2*y)*(22 - 17 - 5 + 719*y**2) in the form k*y**3 + d*y**2 + m*y + o and give k.
-1438
Rearrange 4*n - 7*n**4 - 1458 + 1459 + 0*n**4 to u + f*n**4 + h*n + d*n**2 + a*n**3 and give f.
-7
Express 5*p**4 + 0*p - 4*p**2 - p + 2*p**3 + 2*p + 2*p**2 as n*p + y*p**4 + c + j*p**3 + r*p**2 and give y.
5
Rearrange 5*i**2 + 24*i**2 + 5*i**2 + 24*i**2 to a + k*i + j*i**2 and give j.
58
Express (-30*r + 44*r + 71*r)*(-r**3 + r**3 + r**3) as j*r**2 + b + i*r**3 + d*r**4 + x*r and give d.
85
Express -6 - 24*i + 3 + 4*i in the form x*i + a and give a.
-3
Express 3*k - 3 + 3 + (k + 5*k - 4*k)*(-2 + 0 + 0) + 3*k - k + 0*k + 0*k - k - 3*k - 1 in the form b*k + u and give b.
-3
Express (-4 + 4 + 2*j + (-4 + 2*j + 4)*(-3 + 3 + 1))*(-9 - 10 - 5) as w*j + t and give w.
-96
Express (1 + 5 - 5)*(5*i**2 + i**2 - i + 0*i**2) as y*i + g + f*i**2 and give f.
6
Express 0*b - 11*b**3 - 2*b**4 + 5*b**3 - 1 - b as m*b**4 + j*b**2 + y*b + f*b**3 + r and give f.
-6
Express -u + 123*u**4 + u**2 - 117*u**4 + u**2 - 3*u**2 in the form q*u**3 + l + v*u**2 + k*u + a*u**4 and give v.
-1
Express (-2*d**2 + 0*d**2 + 5*d**2)*(-1206 - 2*d + 1206) in the form q*d**3 + o*d**2 + b + r*d and give q.
-6
Rearrange (-8 + 37 + 20)*(-2*s + 4*s - 3*s) to the form u*s + r and give r.
0
Express -4*k**3 - 100*k + 102*k + 10*k**3 + 3*k**4 in the form f*k**3 + z*k + g + i*k**2 + n*k**4 and give f.
6
Rearrange 3 - 4*d**4 - 4*d**2 - 4 + d**3 + 3*d**4 + 2*d**2 to the form h*d**4 + g*d**2 + s*d**3 + c*d + b and give s.
1
Rearrange -2*k - 6*k + 5*k**2 + k + 3*k to j*k + a + f*k**2 and give f.
5
Rearrange (-2 + 2 + 3*v)*(-v - 2 + 2) + (-9*v + 2*v - 6*v)*(-v - 2 + 4*v - 2*v) to the form p + h*v + z*v**2 and give h.
26
Rearrange (-6*x + 2*x + 35*x)*(-2*x**2 + 2*x**2 - x**2 + (-4*x + x + x)*(-3*x + x + 0*x)) to the form c*x + d + a*x**2 + n*x**3 and give n.
93
Rearrange -q - 2*q**4 + q + (3 - 3*q**2 - 3)*(3*q**2 - 10*q**2 - 10*q**2) to the form h*q**2 + k + r*q + g*q**4 + d*q**3 and give g.
49
Express (-3*j**2 - 4 + 4)*(17*j + 2*j - 5*j)*(4 - 4 + 2 + 2*j) in the form x*j**3 + a*j**2 + t*j**4 + k*j + n and give t.
-84
Express (2*n**2 + 2 - 2 + (0 - 2 + 0)*(n**2 + 3*n**2 - 2*n**2))*(-1 + 1 + 2) in the form f*n**2 + r*n + d and give f.
-4
Express 10*v**2 - 2*v + v + v as d*v**2 + x*v + q and give d.
10
Rearrange (0*t**3 - 3*t**3 + 6*t**3)*(-2 + 2 + t) + 0*t**4 - 2*t**4 + t**4 to a + w*t**3 + q*t**4 + s*t**2 + y*t and give q.
2
Rearrange 7*k**2 + 5*k**2 + 21*k**2 + 2*k**2 to the form j + a*k + n*k**2 and give n.
35
Express (5*i**2 - 3*i**2 - 10*i**2)*(-4*i**2 + i**2 - 4*i**2) + 2*i**4 - i**2 + i**2 in the form w + s*i**3 + c*i**2 + f*i**4 + o*i and give f.
58
Rearrange 0*a**3 + 4*a**3 + 5*a**2 - 6*a**2 - a**3 - 4 to b*a**2 + i*a**3 + r + m*a and give r.
-4
Rearrange (-3*b - 2*b + 0*b + (0 - 1 + 0)*(4*b + 2*b - 4*b))*(-1 + 1 + 5*b**3) to the form d*b**4 + p + r*b**2 + k*b + y*b**3 and give d.
-35
Express (9*y - 30 + 30)*(1 + 2*y - 1 + 4) in the form s + w*y**2 + b*y and give b.
36
Rearrange -m - 38 + 38 + 15*m**2 to c*m**2 + b*m + o and give b.
-1
Express s**3 - s + 0*s**3 - s + (2*s**3 + 2*s**3 - 5*s**3)*(0 - 4 + 2) + 53*s - 53*s + 6*s**3 as r*s**2 + q*s + h + j*s**3 and give j.
9
Rearrange -4*a**3 + a**2 + 330 - 331 + 10*a**3 to z*a**3 + o*a**2 + p*a + b and give b.
-1
Rearrange (4*j**3 - 22*j**3 - 4*j**3)*(2*j - j + j) to g*j**4 + i*j**2 + z + h*j + a*j**3 and give g.
-44
Rearrange -i - 2*i**2 + i**2 + 0*i + (1 + 2 - 1)*((i**2 + 0 + 0)*(-3 + 5 + 1) + 3 - 3 - 5*i**2) to v + k*i**2 + c*i and give k.
-5
Rearrange o**3 - 3*o**3 - 3*o + 4*o**4 + 3*o**4 + 2*o to the form z*o**4 + t*o**3 + k + q*o + r*o**2 and give q.
-1
Express (-k - k + k**2 + k**2 + (-2 + k + 2)*(-24*k + 22*k + 30*k))*(0*k**2 + 2*k**2 - k**2) in the form f*k + l*k**4 + c + w*k**3 + j*k**2 and give l.
30
Express (4 - 2 - 3)*(5*j - 7*j + 4*j) - 8 + 8 - 2*j + (1 - 2*j - 1)*(2 - 3 + 2) in the form q + l*j and give l.
-6
Express -31*b**2 - 8*b**2 + 13*b**2 as u + n*b**2 + c*b and give u.
0
Rearrange (2*q + 2*q - 5*q)*(-2*q + 0*q + 3*q) + (5 - 5 - 6*q)*(-12 - 18*q + 12) to the form x*q**2 + k + g*q and give x.
107
Rearrange 0 + 0 - 2*b**2 + (-b + b - 2*b)*(5 - 5 + b) - 39 + 3*b**2 + 39 to q*b + p + h*b**2 and give h.
-1
Rearrange -17*l**3 - 14*l**2 - 2 - 2*l**4 + 33*l**2 - 17*l**2 + 4*l**3 to the form i + z*l + u*l**4 + m*l**3 + q*l**2 and give m.
-13
Rearrange 0*y - 3*y - 1 - y**3 + 5*y to the form v*y**3 + n*y + p*y**2 + i and give i.
-1
Express 4*w + 0*w**2 - 5*w**3 + 4*w**3 + w**2 + w**4 as j + g*w**4 + u*w**2 + v*w**3 + n*w and give n.
4
Rearrange (4*l - 3*l - 3*l)*(6*l + 0*l - 3*l) - 3*l**2 + 131 - 131 to k*l**2 + n + w*l and give k.
-9
Rearrange (-j + 0 + 0)*(0*j - 2*j + j) + 3*j**2 - 4*j**2 + 0*j**2 + (3 - 3 - 3*j)*(-3*j + 0*j + j) to w*j + v*j**2 + b and give v.
6
Express -52*i - 57*i + 122*i as b + w*i and give w.
13
Express (-12*r + 5*r - r)*(3 + 10 - 18) as g*r + i and give g.
40
Rearrange 3 - 2*a**3 - 2*a - 1 + 2*a**3 - 2*a**3 to o + m*a**3 + k*a**2 + w*a and give m.
-2
Rearrange
|
{
"pile_set_name": "DM Mathematics"
}
|
g + 282*g**3 - 137*g**3 + 2*g**2 - 4215 wrt g?
48*g**2 + 4*g - 61
Let k(n) be the second derivative of 20*n**4 + n**3/6 + 137*n**2/2 + 1253*n. Find the second derivative of k(h) wrt h.
480
Let i(a) be the first derivative of 117 + 27*a + 37/2*a**2. Differentiate i(x) with respect to x.
37
Suppose -7*m = -8*m + 3*n + 11, n = m - 5. What is the third derivative of -5*d**5 + 124*d**2 - 210*d**m + 0*d**3 + 5*d**3 wrt d?
-300*d**2 + 30
Let w(g) be the third derivative of 59/24*g**4 + 0*g**3 + 0*g + 0*g**5 + 89*g**2 - 7/24*g**6 + 0. Find the second derivative of w(c) wrt c.
-210*c
Suppose 0 = -m - 10*l + 7*l - 9, 2*m - 5*l - 26 = 0. What is the third derivative of 4 - m*t**2 - 7*t**4 + 6 - 2*t**6 - 14 - 13 - 7 wrt t?
-240*t**3 - 168*t
Let g = 215 + -191. Let j be 7/28 + 189/12. What is the third derivative of -4*x**2 + j*x**5 - g*x**5 - 25*x**5 + 17*x**2 wrt x?
-1980*x**2
Let h(x) be the first derivative of -68 + 43/3*x**3 + 0*x**2 - 58*x. Differentiate h(y) wrt y.
86*y
Let a be -76 - -84 - (-29)/1. What is the second derivative of -a*z**4 - 286*z + 66*z**4 + 71*z**4 wrt z?
1200*z**2
Let q(f) = 2*f - 10. Let v be q(5). Suppose 6*o - 4*o - u = 15, v = -3*o + 5*u + 19. Find the third derivative of -13*r**6 + o*r**2 + 72 - 72 wrt r.
-1560*r**3
Let c(w) = 2230*w + 1813. Let p(u) = -1118*u - 907. Let h(r) = -6*c(r) - 13*p(r). Find the first derivative of h(i) wrt i.
1154
Let l(g) be the first derivative of 5027*g**4/4 - 2*g**3/3 - 55*g**2/2 + 1191. What is the third derivative of l(v) wrt v?
30162
Let v(z) be the third derivative of 13*z**7/5 - 250*z**3 + 3172*z**2. What is the first derivative of v(l) wrt l?
2184*l**3
Let h(t) be the first derivative of -1734*t**2 - 3404*t - 2852. What is the first derivative of h(z) wrt z?
-3468
Let i(t) = -23*t**3 - t**2 - 7*t - 5. Let g be i(-2). What is the second derivative of 79*b - 36*b - g*b + 80*b**2 wrt b?
160
Differentiate 1370 - 1026 + 4175*f**2 - 2453 - 541 wrt f.
8350*f
What is the second derivative of -141321*u**3 - 1053*u + 2732*u**4 - 141321*u**3 + 282642*u**3 wrt u?
32784*u**2
Let g(n) = -37*n - 145. Let b be g(-4). Find the second derivative of 2*c + 528 + 34*c**2 - b*c - 517 - 4*c**3 wrt c.
-24*c + 68
What is the third derivative of -83 + 69*p**2 + 485*p**6 + 5*p**4 + 2*p - 70*p**2 - 53 - 2*p wrt p?
58200*p**3 + 120*p
What is the first derivative of 720 + 2267 + 2188*n + 368 wrt n?
2188
Let k = 9 + -4. Let x(b) = b**3 - 3*b**2 - 9*b + 4. Let n be x(k). What is the first derivative of -8 - n*q + 3*q + q wrt q?
-5
Let r be 7 + -2 + -1 + -1. Suppose -i = r*a - 261, -3*i + 421 = 5*a - 6*i. What is the third derivative of -9*x**2 - 86 + a - 37*x**3 wrt x?
-222
Let b be (6/9)/((-14)/(-105)). Suppose -8 = -4*c, -5*m + 2*c = -21 + b. What is the third derivative of 109*k**m - 187*k**4 - 10*k**2 + 99*k**4 - 39*k**2 wrt k?
504*k
Let u(k) = 6*k**2 + 13*k + 1 - 14*k + 6*k**2. Let v be u(1). Find the third derivative of -v*b**2 - 9 + 9 - 17*b**3 wrt b.
-102
Let l(g) = 24*g + 29 - 9*g - 298*g**2 + 299*g**2. Let r be l(-13). What is the second derivative of -12*o**5 - 118*o**r - 15*o + 118*o**3 wrt o?
-240*o**3
Let l(h) be the first derivative of 16 - 9/4*h**4 + 0*h**3 + 0*h**2 - 48*h. What is the first derivative of l(z) wrt z?
-27*z**2
Suppose 3*f - 45 = 48. Let o = f + -29. What is the third derivative of 12*p**o + 4*p**2 - 12*p**6 - 6*p**2 wrt p?
-1440*p**3
Let y = -44 + 49. Suppose -6*i - 8 = -32. What is the first derivative of -y + h**4 - 2 - 2*h**i + 0 wrt h?
-4*h**3
Let x(v) be the first derivative of -1185*v**2/2 + 376*v + 886. Find the first derivative of x(s) wrt s.
-1185
Let t(n) be the first derivative of -n + 0*n**3 - 117 + 1/5*n**5 - 7/3*n**6 + 0*n**4 + 10*n**2. Find the second derivative of t(a) wrt a.
-280*a**3 + 12*a**2
Let l(r) be the first derivative of 6945*r**2/2 - 6806*r + 7334. Find the first derivative of l(j) wrt j.
6945
Let i(b) be the second derivative of -1/2*b**4 + 0*b**3 - b**2 + 82*b + 0. Differentiate i(x) wrt x.
-12*x
Find the first derivative of 38*h**2 - 2*h**3 + 1997 + 119*h**2 + 7*h**3 + 31*h**2 - 6*h**3 wrt h.
-3*h**2 + 376*h
Let n = -171 - -177. What is the third derivative of -11*c**6 + 18*c**n - 19*c**2 - 4*c**2 - 16*c + 15*c wrt c?
840*c**3
Let w(o) be the first derivative of -77/6*o**6 + 0*o**4 + 0*o**2 - 68 + 0*o**5 + 0*o + 35/3*o**3. Find the third derivative of w(p) wrt p.
-4620*p**2
Suppose 4*n - 21 = 27. Suppose -4*i = -2*a - 34 - 64, i - n = -2*a. Find the second derivative of -22*z + 15*z**5 + 3*z - i*z**5 + 18*z**5 wrt z.
220*z**3
Let x(u) = 11*u**2 - 4*u - 23. Let r be x(-3). What is the first derivative of -117 + 72*b**3 + 110 - b**3 + r wrt b?
213*b**2
Find the second derivative of -297*h**2 + 91*h - 1 - 385*h**2 - 446*h**2 - 603*h**2 - 198*h**2 wrt h.
-3858
Let d(n) be the first derivative of 1975*n**2/2 - 6925*n + 5000. What is the first derivative of d(r) wrt r?
1975
Let c be (2997/(-5) + -2)/((-22)/110). Find the second derivative of 67*z + c*z**2 + 49*z - 3231*z**2 wrt z.
-448
Find the third derivative of -17 + 1 + 273283*l**5 - 273281*l**5 + 556*l**6 + 13*l**2 wrt l.
66720*l**3 + 120*l**2
Let q(f) be the third derivative of 10*f**3 + 0 + 0*f**4 - 61/210*f**7 + 0*f**5 + 0*f**6 + 0*f + 29*f**2. Find the first derivative of q(b) wrt b.
-244*b**3
Let i(l) be the third derivative of -203*l**5/20 - 277*l**3/6 - 168*l**2 + 3. Find the first derivative of i(w) wrt w.
-1218*w
What is the third derivative of -1662*j**2 + 1494*j**3 + 1477*j**3 - 549*j**3 wrt j?
14532
Suppose -r + 4*b = -10, -b - 67 = -5*r + 2*b. What is the second derivative of -46*w - r*w - 57*w - 2*w - 111*w + 26*w**2 wrt w?
52
Let u(w) be the second derivative of 45*w**4 + 281*w**3/3 + 1497*w. Find the second derivative of u(g) wrt g.
1080
Let n(z) be the first derivative of 17*z**4/4 - 71*z**2 + 110*z + 34. Let j(o) be the first derivative of n(o). What is the derivative of j(r) wrt r?
102*r
Let n(b) be the second derivative of 357*b**8/8 - 599*b**4/12 - 3016*b - 2. Find the third derivative of n(d) wrt d.
299880*d**3
Let g(z) be the third derivative of 301*z**6/10 + 1871*z**3/2 - 21*z**2 - z - 7. Differentiate g(q) wrt q.
10836*q**2
Let x(c) be the first derivative of -1/3*c**3 + 9/2*c**6 - 151 + 0*c**5 + 21*c**2 + 0*c + 0*c**4. What is the third derivative of x(o) wrt o?
1620*o**2
Find the second derivative of 5*b**2 + 6*b**2 - 11*b + 35 + 23 - 10*b**2 + 27 wrt b.
2
Let d(m) be the third derivative of m**8/112 - 49*m**6/15 + m**5/30 + 135*m**4/8 - 7674*m**2. What is the second derivative of d(t) wrt t?
60*t**3 - 2352*t + 4
Let a(m) be the third derivative of 89*m**8/12 - 41*m**4/24 + m**3/3 + m**2 - 778*m. Find the second derivative of a(s) wrt s.
49840*s**3
Find the third derivative of 661*u - 661*u - 1787*u**6 - 83*u**2 + 312*u**6 wrt u.
-177000*u**3
Let a(v) be the first derivative of 47*v**2 - 7*v**2 - 21*v - 24 - 9*v**2 + 5*v. Find the first derivative of a(h) wrt h.
62
Suppose -5*f - 4*o + 7*o + 520 = 0, o = -4*f + 416. Differentiate 11 + 22*r**2 - 152*r**2 - 43 - f*r**2 - 13 with respect to r.
-468*r
Suppose 3*t = 3*r + 66, -3*r + 4 = 2*t - 30. Suppose -6*b = -2*b - t. Find the third derivative of -22*m**2 + 6*m**b + 6*m**2 - 2*m**5 wrt m.
240*m**2
Let g be 3068/60 - (-2)/(-15). Suppose -40 - g = -7*y. Find the third derivative of -26*l**2 - 18*l**6 - y*l**6 + 7*l**6 wrt l.
-2880*l**3
Suppose 77 = 3*t + 71. Differentiate -29 + 37 + 49 - t*b - 7*b**2 wrt b.
-14*b - 2
Let l(p) be the third derivative of 116*p**2 + 0*p + 197/120*p**6 - 41/30*p**5 + 0 + 0*p**4 - 1/3*p**3. Find the third derivative of l(n) wrt n.
1182
Suppose 546 = 6*s + 20*s. Differentiate 23*u**4 - s*u**4 - 55*u**4 + 153 - 101*u**4 + u**4 wrt u.
-612*u**3
Let r(l) be the first derivative of -2*l**7/7 - 41*l**6/3 - 37*l**5/5 + 400*l**3/3 - l**2/2 + 1224. Find the third derivative of r(t) wrt t.
-240*t**3 - 4920*t**2 - 888*t
Let b = -100 + 102. What is the second derivative of 10*x + 10*x + 7*x - 27*x**b - 13*x**2 wrt x?
-80
Let x(p) = -1330*p + 931. Suppose 125*l - 130*l - 10 = 0. Let o(d) = -43*d + 30. Let g(i) = l*x(i) + 63*o(i). What is the derivative of g(j) wrt j?
-49
Let x be 4 + (-4 - -2) + -1 + 13. Find the second derivative of -9*i + x*i + 17*i + 68*i**2 wrt i.
136
Suppose 3*q - 480 + 145 = -2*a, -555 = -5*q
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate prob of picking 1 t and 2 y when three letters picked without replacement from {y: 3, t: 2}.
3/5
Calculate prob of picking 1 k and 1 z when two letters picked without replacement from zvvvzzzzkkzkvzk.
4/15
Two letters picked without replacement from {f: 8, e: 7, h: 3}. Give prob of picking 2 e.
7/51
Two letters picked without replacement from {p: 7, l: 1, t: 1}. Give prob of picking 1 l and 1 t.
1/36
Two letters picked without replacement from {l: 4, u: 3}. Give prob of picking 1 u and 1 l.
4/7
Two letters picked without replacement from ggggggg. What is prob of picking 2 g?
1
Calculate prob of picking 1 j, 1 i, 1 a, and 1 h when four letters picked without replacement from {r: 1, j: 1, a: 4, h: 4, b: 4, i: 1}.
16/1365
Three letters picked without replacement from {d: 1, w: 1, t: 1, i: 6, j: 4}. What is prob of picking 1 t, 1 i, and 1 d?
3/143
What is prob of picking 2 x when two letters picked without replacement from xuxpuuupuupuuuxuuuxu?
3/95
Calculate prob of picking 1 r and 1 h when two letters picked without replacement from rrhrrhhhchrhhhllrhl.
6/19
Calculate prob of picking 1 f and 1 q when two letters picked without replacement from iiiiiqiif.
1/36
Calculate prob of picking 1 w and 1 e when two letters picked without replacement from wwwwwwewewbwb.
3/13
Four letters picked without replacement from aaaiddidd. Give prob of picking 1 i and 3 d.
4/63
What is prob of picking 2 e when two letters picked without replacement from xevvveevwekkvkeeekek?
14/95
Calculate prob of picking 1 h, 2 m, and 1 b when four letters picked without replacement from {f: 2, m: 3, b: 2, h: 4}.
4/55
Calculate prob of picking 3 o when three letters picked without replacement from oeoooooooeoooooooooo.
68/95
What is prob of picking 1 g and 3 k when four letters picked without replacement from kggkkkgkkkkgkkgkgk?
22/51
Four letters picked without replacement from {j: 14, v: 1}. What is prob of picking 1 v and 3 j?
4/15
Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {b: 7, c: 2}.
7/18
Two letters picked without replacement from fjcjjjjjjdxpjjjj. What is prob of picking 1 j and 1 d?
11/120
Calculate prob of picking 1 w and 2 o when three letters picked without replacement from {o: 2, w: 5, d: 5}.
1/44
What is prob of picking 4 f when four letters picked without replacement from rfrfrrrrefrerfrrree?
1/3876
What is prob of picking 1 w, 1 m, and 2 j when four letters picked without replacement from jyvmmjtw?
1/35
Calculate prob of picking 1 q and 1 y when two letters picked without replacement from yqyyyqyyyt.
14/45
What is prob of picking 2 z and 1 f when three letters picked without replacement from {x: 4, z: 6, o: 1, f: 2, v: 7}?
1/38
Calculate prob of picking 2 z and 1 o when three letters picked without replacement from {k: 2, z: 7, o: 5}.
15/52
What is prob of picking 2 y when two letters picked without replacement from {t: 2, y: 10}?
15/22
What is prob of picking 1 j and 1 x when two letters picked without replacement from {b: 4, j: 1, a: 4, p: 2, d: 1, x: 3}?
1/35
What is prob of picking 1 n and 2 f when three letters picked without replacement from nnnnnfnfnnnnnnnnnn?
1/51
Two letters picked without replacement from nneennnuueeounooenee. Give prob of picking 2 n.
21/190
What is prob of picking 2 s, 1 l, and 1 m when four letters picked without replacement from lszzgssgsmgzzssssbzb?
28/4845
Four letters picked without replacement from rbssbrssrbbsrr. What is prob of picking 1 b, 2 s, and 1 r?
200/1001
Three letters picked without replacement from {a: 3, f: 3}. What is prob of picking 3 a?
1/20
Three letters picked without replacement from {s: 1, r: 1, o: 1, m: 2, j: 1, w: 1}. Give prob of picking 2 m and 1 w.
1/35
What is prob of picking 3 l when three letters picked without replacement from {l: 3}?
1
Four letters picked without replacement from eewrreerrmg. What is prob of picking 2 w and 2 m?
0
What is prob of picking 1 i and 2 p when three letters picked without replacement from iiiiiiipiipi?
1/22
Four letters picked without replacement from uiihtioi. Give prob of picking 1 h, 1 i, 1 t, and 1 o.
2/35
Calculate prob of picking 1 h and 1 g when two letters picked without replacement from lglllcgchhggl.
4/39
Two letters picked without replacement from {z: 16, a: 1, e: 3}. Give prob of picking 2 e.
3/190
Two letters picked without replacement from {j: 2, k: 1, z: 2, s: 4, x: 10}. Give prob of picking 2 j.
1/171
What is prob of picking 1 y and 1 c when two letters picked without replacement from sqsyqyxkyssccqy?
8/105
What is prob of picking 3 s when three letters picked without replacement from bbbsybybsybssbsybsb?
20/969
Three letters picked without replacement from {g: 2, h: 7}. What is prob of picking 3 h?
5/12
Two letters picked without replacement from {y: 6, e: 6}. Give prob of picking 1 y and 1 e.
6/11
Calculate prob of picking 1 p and 2 c when three letters picked without replacement from pohhhhhhpcrchppr.
1/140
Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {m: 2, e: 1, i: 1}.
1/6
What is prob of picking 3 y when three letters picked without replacement from uuuqqquyquuquuyyyy?
5/408
Four letters picked without replacement from xczxwzxxjzwwzdwxcx. Give prob of picking 1 z, 2 c, and 1 d.
1/765
What is prob of picking 3 t when three letters picked without replacement from otttoto?
4/35
What is prob of picking 1 h and 1 i when two letters picked without replacement from hie?
1/3
Four letters picked without replacement from {n: 1, t: 4, i: 6, c: 2, y: 3, a: 4}. Give prob of picking 2 a and 2 c.
2/1615
What is prob of picking 3 q and 1 n when four letters picked without replacement from qqnnnnnnnnnq?
1/55
Three letters picked without replacement from {d: 2, r: 2, a: 2, x: 2, n: 7}. Give prob of picking 3 n.
1/13
Four letters picked without replacement from jyujmmjmym. What is prob of picking 4 m?
1/210
Calculate prob of picking 2 c when two letters picked without replacement from ccstcscs.
3/14
What is prob of picking 1 i and 1 t when two letters picked without replacement from iiistittiisiiii?
2/7
Four letters picked without replacement from {w: 5}. What is prob of picking 4 w?
1
Calculate prob of picking 2 a and 1 f when three letters picked without replacement from {f: 2, y: 2, a: 3, i: 6}.
3/143
Calculate prob of picking 1 q, 1 o, and 2 d when four letters picked without replacement from loooddqdqdlgolooo.
3/85
Two letters picked without replacement from {w: 5, v: 15}. What is prob of picking 2 w?
1/19
Four letters picked without replacement from rrrlwyylrrlr. Give prob of picking 1 r, 2 y, and 1 l.
2/55
Two letters picked without replacement from {y: 5, a: 3}. What is prob of picking 1 y and 1 a?
15/28
Three letters picked without replacement from bbttbbtbtbb. Give prob of picking 2 b and 1 t.
28/55
What is prob of picking 1 l, 1 i, and 2 o when four letters picked without replacement from iioionilroi?
1/22
Calculate prob of picking 1 z and 3 f when four letters picked without replacement from ffzzfffzffffff.
45/91
Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {q: 14, c: 2, p: 1}.
7/34
Calculate prob of picking 1 q, 1 u, and 2 v when four letters picked without replacement from {u: 2, q: 2, v: 6, x: 8}.
1/51
Two letters picked without replacement from jjdzhdjzdzd. What is prob of picking 2 d?
6/55
Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {w: 1, r: 2, i: 2, o: 2, n: 1}.
1/14
What is prob of picking 1 z, 1 a, and 2 e when four letters picked without replacement from {z: 5, w: 1, a: 1, e: 2}?
5/126
Calculate prob of picking 2 z when two letters picked without replacement from {e: 4, z: 3, l: 1}.
3/28
Two letters picked without replacement from {g: 4, l: 2, q: 1}. What is prob of picking 2 l?
1/21
What is prob of picking 3 j when three letters picked without replacement from wwjswwjswsjjswwj?
1/56
Two letters picked without replacement from mdddmmdmmmmmmmmmmmmm. Give prob of picking 2 m.
12/19
Two letters picked without replacement from hhuuuguglhgggguuhg. What is prob of picking 1 u and 1 h?
8/51
Calculate prob of picking 1 i, 2 p, and 1 r when four letters picked without replace
|
{
"pile_set_name": "DM Mathematics"
}
|
erm of 2894282, 2894522, 2894762?
240*u + 2894042
What is the s'th term of 6723, 6191, 5661, 5133?
s**2 - 535*s + 7257
What is the g'th term of -428, -4014, -13812, -32924, -64452, -111498, -177164, -264552?
-517*g**3 - 4*g**2 + 45*g + 48
What is the r'th term of -65661, -65656, -65663, -65694, -65761?
-2*r**3 + 6*r**2 + r - 65666
What is the a'th term of -1664, -12150, -40614, -96044, -187428, -323754, -514010?
-1498*a**3 - a**2 + 3*a - 168
What is the u'th term of -7377188, -7377187, -7377186, -7377185, -7377184, -7377183?
u - 7377189
What is the i'th term of -147466, -294867, -442268?
-147401*i - 65
What is the l'th term of -272239, -272251, -272267, -272287?
-2*l**2 - 6*l - 272231
What is the a'th term of 7806, 16207, 24608, 33009?
8401*a - 595
What is the p'th term of 29496564, 58993107, 88489638, 117986151, 147482640?
-p**3 + 29496550*p + 15
What is the q'th term of -9091147, -9091149, -9091151, -9091153, -9091155, -9091157?
-2*q - 9091145
What is the x'th term of -118695, -474848, -1068437, -1899462, -2967923, -4273820?
-118718*x**2 + x + 22
What is the u'th term of 5381, 5379, 5357, 5315, 5253, 5171?
-10*u**2 + 28*u + 5363
What is the h'th term of 61765008, 61765010, 61765012?
2*h + 61765006
What is the f'th term of -213023, -213076, -213129?
-53*f - 212970
What is the o'th term of -3785, -15332, -34569, -61496, -96113, -138420?
-3845*o**2 - 12*o + 72
What is the z'th term of 3707, 3765, 3845, 3941, 4047, 4157, 4265?
-z**3 + 17*z**2 + 14*z + 3677
What is the k'th term of -999, -3599, -6199, -8799, -11399?
-2600*k + 1601
What is the y'th term of -11614, -13839, -16064, -18289, -20514?
-2225*y - 9389
What is the l'th term of 233, 588, 1031, 1442, 1701?
-20*l**3 + 164*l**2 + 3*l + 86
What is the p'th term of -12202, -38057, -91226, -185365, -334130, -551177, -850162?
-2276*p**3 - p**2 - 9920*p - 5
What is the u'th term of -115, 956, 2743, 5246?
358*u**2 - 3*u - 470
What is the w'th term of 114979, 230629, 346291, 461971, 577675, 693409, 809179?
w**3 + 115643*w - 665
What is the r'th term of 1023989, 2048166, 3072343, 4096520, 5120697?
1024177*r - 188
What is the l'th term of 15114, 30857, 46612, 62379?
6*l**2 + 15725*l - 617
What is the p'th term of 6848011, 13696022, 20544033, 27392044, 34240055, 41088066?
6848011*p
What is the j'th term of -6031947, -6031941, -6031935?
6*j - 6031953
What is the s'th term of 7003958, 7003952, 7003942, 7003928, 7003910, 7003888?
-2*s**2 + 7003960
What is the i'th term of 332, 681, 1050, 1445, 1872, 2337?
i**3 + 4*i**2 + 330*i - 3
What is the p'th term of 549638, 549607, 549576, 549545, 549514, 549483?
-31*p + 549669
What is the t'th term of -361, -463, -577, -703, -841, -991?
-6*t**2 - 84*t - 271
What is the x'th term of 1575774, 6303058, 14181850, 25212150?
1575754*x**2 + 22*x - 2
What is the k'th term of -383050, -383099, -383178, -383287, -383426, -383595?
-15*k**2 - 4*k - 383031
What is the z'th term of -856527, -856056, -855585?
471*z - 856998
What is the c'th term of -7789, -6924, -6059, -5194?
865*c - 8654
What is the c'th term of -8876, -17745, -26602, -35441, -44256, -53041?
c**3 - 8876*c - 1
What is the c'th term of 19809, 19073, 17077, 13191, 6785, -2771?
-105*c**3 - c + 19915
What is the d'th term of 502236, 502475, 502714, 502953?
239*d + 501997
What is the k'th term of 11461, 91940, 310391, 735802, 1437161, 2483456?
11498*k**3 - 2*k**2 - k - 34
What is the k'th term of -5186, -10207, -15112, -19901?
58*k**2 - 5195*k - 49
What is the b'th term of -240199932, -480399869, -720599804, -960799737, -1200999668?
b**2 - 240199940*b + 7
What is the y'th term of -450386, -900777, -1351168, -1801559?
-450391*y + 5
What is the u'th term of -40861, -39738, -38615, -37492, -36369, -35246?
1123*u - 41984
What is the o'th term of -165, -170, 127, 876, 2227, 4330, 7335?
25*o**3 + o**2 - 183*o - 8
What is the k'th term of 2533862, 2533852, 2533842, 2533832, 2533822?
-10*k + 2533872
What is the w'th term of -19, -153, -523, -1243, -2427, -4189, -6643, -9903?
-19*w**3 - 4*w**2 + 11*w - 7
What is the o'th term of 182546, 365089, 547632, 730175, 912718, 1095261?
182543*o + 3
What is the j'th term of 14204, 28634, 43062, 57488, 71912, 86334, 100754?
-j**2 + 14433*j - 228
What is the x'th term of -2691, -4752, -6185, -6990, -7167, -6716?
314*x**2 - 3003*x - 2
What is the h'th term of 5547, 4951, 4407, 3939, 3571, 3327, 3231, 3307?
4*h**3 + 2*h**2 - 630*h + 6171
What is the c'th term of -115913, -231787, -347619, -463409, -579157, -694863, -810527?
21*c**2 - 115937*c + 3
What is the s'th term of 9181, 26055, 42923, 59785, 76641, 93491?
-3*s**2 + 16883*s - 7699
What is the a'th term of 261, -32, -725, -2010, -4079, -7124?
-32*a**3 - 8*a**2 - 45*a + 346
What is the l'th term of 14156, 28112, 42042, 55940, 69800?
-l**3 - 7*l**2 + 13984*l + 180
What is the t'th term of 24837, 25614, 26391?
777*t + 24060
What is the k'th term of 803548, 803562, 803586, 803620, 803664, 803718?
5*k**2 - k + 803544
What is the k'th term of 58535, 58364, 58083, 57692, 57191, 56580?
-55*k**2 - 6*k + 58596
What is the t'th term of -34860, -35363, -35866, -36369, -36872, -37375?
-503*t - 34357
What is the v'th term of 17587, 28711, 39831, 50947, 62059?
-2*v**2 + 11130*v + 6459
What is the x'th term of -1679, -12967, -43313, -102245, -199291?
-1588*x**3 - x**2 - 169*x + 79
What is the r'th term of 847127, 847094, 847061, 847028, 846995?
-33*r + 847160
What is the o'th term of -16127640, -16127649, -16127658, -16127667, -16127676?
-9*o - 16127631
What is the m'th term of -2267, -8191, -18065, -31889, -49663, -71387?
-1975*m**2 + m - 293
What is the a'th term of 14184, 31789, 61138, 102237, 155092, 219709, 296094?
a**3 + 5866*a**2 + 8317
What is the v'th term of -28428, -113046, -253856, -450858, -704052, -1013438, -1379016?
-28096*v**2 - 330*v - 2
What is the p'th term of 109145, 109026, 108907, 108788, 108669?
-119*p + 109264
What is the m'th term of 54038, 52226, 50428, 48650, 46898?
m**3 + m**2 - 1822*m + 55858
What is the n'th term of 22002, 22035, 22060, 22071, 22062, 22027?
-n**3 + 2*n**2 + 34*n + 21967
What is the i'th term of -4202, -4225, -4290, -4421, -4642, -4977, -5450, -6085?
-4*i**3 + 3*i**2 - 4*i - 4197
What is the l'th term of -152619, -305094, -457575, -610062, -762555, -915054, -1067559?
-3*l**2 - 152466*l - 150
What is the r'th term of 5432, 6003, 6574, 7145, 7716, 8287?
571*r + 4861
What is the t'th term of 106007, 105211, 104415, 103619, 102823?
-796*t + 106803
What is the b'th term of -53452705, -53452706, -53452707, -53452708?
-b - 53452704
What is the o'th term of 197177, 394424, 591697, 789008, 986369?
2*o**3 + o**2 + 197230*o - 56
What is the a'th term of -9224627, -9224611, -9224595?
16*a - 9224643
What is the a'th term of 1790, 12486, 23182, 33878, 44574, 55270?
10696*a - 8906
What is the p'th term of -51366, -102452, -153538, -204624, -255710?
-51086*p - 280
What is the j'th term of -17237, -34353, -51451, -68525, -85569?
j**3 + 3*j**2 - 17132*j - 109
What is the x'th term of 8874, 73264, 248664, 590580, 1154518, 1995984, 3170484, 4733524?
9251*x**3 - x**2 - 364*x - 12
What is the r'th term of 2072, 3343, 5528, 8633, 12664, 17627, 23528, 30373?
r**3 + 451*r**2 - 89*r + 1709
What is the x'th term of -17, -746, -2729, -6584, -12929?
-103*x**3 - 9*x**2 + 19*x + 76
What is the s'th term of -8579, -35206, -79583, -141710?
-8875*s**2 - 2*s + 298
What is the r'th term of 4226, 5819, 7412, 9005, 10598, 12191?
1593*r + 2633
What is the i'th term of 3337, 13226, 29691, 52744, 82397, 118662, 161551?
2*i**3 + 3276*i**2 + 47*i + 12
What is the v'th term of -1877215, -1877194, -1877151, -1877080, -1876975, -1876830?
v**3 + 5*v**2 - v - 1877220
What is the b'th term of -6087835, -6087833, -6087831, -6087829, -6087827, -6087825?
2*b - 6087837
What is the y'th term of -1452, -6073, -13866, -24837, -38992, -56337, -76878?
-y**3 - 1580*y**2 + 126*y + 3
What is the t'th term of 288870, 288947, 289076, 289257, 289490?
26*t**2 - t + 288845
What is the c'th term of -510, -454, -408, -408, -490, -690?
-6*c**3 + 31*c**2 + 5*c - 540
What is the p'th term of -84198, -336623, -757334, -1346331?
-84143*p**2 + 4*p - 59
What is the k'th term of 1116035, 4464034, 10044025, 17856008, 27899983?
1115996*k**2 + 11*k + 28
What is the i'th term of -1
|
{
"pile_set_name": "DM Mathematics"
}
|
f -j**5/60 + 7*j**4/24 - j**3/6 + 13*j**2. Calculate l(q).
5
Suppose 0 = -2*o + 4*o - 4. Suppose o*l = 7*l - 10. Let h(u) be the third derivative of u**5/60 - u**4/12 + u**3/3 + 376*u**2 + 3*u. What is h(l)?
2
Let w(p) = p**2 - 6*p + 10. Suppose -2*c + 30 = 30*h - 25*h, 30 = 5*h - 4*c. Determine w(h).
10
Let m(a) = -44*a - 2421. Let x be m(-55). Let j(i) = -13*i - 10. Give j(x).
3
Let d(h) be the first derivative of 2*h**3/3 - 13*h**2/2 - 38*h + 50. What is d(9)?
7
Let t = -7 - -3. Let r(n) be the second derivative of -n**3/2 + n**2 - 3153*n. What is r(t)?
14
Let q be 19482/(-24) + 3/(-12) + 5. Let j = 799 + q. Let l(i) = -2*i**2 - 16*i - 4. Calculate l(j).
-4
Let d(w) be the first derivative of w**2/2 - 5*w + 8. Suppose -4*z = -3*l - 16 - 22, 0 = 2*l - 2*z + 24. Let b(i) = 6*i + 63. Let j be b(l). What is d(j)?
-2
Let s(g) = 17*g**3 - 10*g**2 - 32*g + 2. Let p(u) = 37*u**3 - 19*u**2 - 65*u + 1. Let h(n) = -6*p(n) + 13*s(n). Calculate h(-14).
-8
Let g(d) be the second derivative of -4/3*d**3 + 5*d**2 + 0 - 31*d + 1/12*d**4. Let v be g(6). Let i(r) = -4*r - 3. Determine i(v).
5
Let t(o) = o**3 - o + 1. Suppose -7*x = 2*x + 17*x. Suppose -71*i - m + 8 = -68*i, x = -i + 4*m + 7. What is t(i)?
25
Let k(a) = a**2 - 254*a - 6968. Let r be k(-25). Let j(m) = -3*m**2 + 25*m - 12. What is j(r)?
16
Let q = 349/588 + -1/98. Let i(t) be the second derivative of 1/2*t**2 + 0*t**3 + q*t**4 - 16*t + 0. Calculate i(1).
8
Suppose -18*l + 764 + 208 = 0. Suppose -119*b - l = -110*b. Let a(p) = p**3 + 6*p**2 - 6*p - 7. Calculate a(b).
29
Let v(i) = 3*i**2 - 11*i - 5. Let t be v(6). Suppose -t*u = -29*u - 8. Let b(g) = -5 - u - g**3 - 9*g - 6*g**2 + 8*g. Give b(-6).
0
Let t(z) = 3*z**2 - 117*z - 113. Let k be t(40). Let j(v) = -v**3 + 6*v**2 + v + 35. Calculate j(k).
-7
Let f(p) = -2*p + 2. Let w = -72 - -114. Suppose 2*r - w = -2*j, r + 3*r = 4. Suppose c = -14 + j. Give f(c).
-10
Let b(q) = -q**2 + 3*q - 1. Let a(j) be the second derivative of 3*j**3/2 + 2*j**2 + 13*j. Let w be a(-1). Let f be (4/(-3))/(w/15). What is b(f)?
-5
Let p(w) = w**2 + 10*w + 22. Let g be p(-8). Let y(f) = 9 - 18 + g - 2*f. Let n = -23 + 18. Calculate y(n).
7
Let u(d) be the third derivative of d**4/8 + 3*d**3/2 + 17*d**2 - 38. What is u(-6)?
-9
Let h = 15065 - 15047. Let x(f) = 2*f**2 - 33*f - 3. Determine x(h).
51
Let p(g) = -g**2 + 8*g + 10. Let n(i) = -i**3 + 13*i**2 - 28*i - 12. Let f be (-152)/(-8) + (-8 - 1). Let l be n(f). What is p(l)?
10
Let d be 45/(-60) + 94/8. Suppose 30 = -d*t + 8. Let z(k) be the third derivative of -k**5/15 - k**3/6 - k**2. Calculate z(t).
-17
Let h = 5971 + -5949. Let y(g) be the first derivative of 2*g**2 + g**3 - h - 1/4*g**4 + g. Calculate y(3).
13
Let i(g) = 16*g + 4. Let d be ((-28)/63*1)/(26/117). Give i(d).
-28
Let o be 2/(2 - (-5)/(-2)). Let t be -10*(18/(-4) - o). Suppose 3*p = -k - 2 + 18, t*k + 3*p = 20. Let q(s) = s**3 - s**2 + s - 1. Give q(k).
0
Let w(t) = 24*t**3 + 74*t**2 - 13*t - 110. Let j(r) = -11*r**3 - 34*r**2 + 7*r + 55. Let v(s) = 11*j(s) + 5*w(s). Give v(-4).
7
Let s(p) = -58*p**2 + 63*p + 5. Let y(q) = -151*q**2 + 158*q + 13. Let u(j) = 13*s(j) - 5*y(j). What is u(-2)?
-54
Let u be 1*15 - (0 - 0 - -6)/2. Let j(q) = 6*q**2 - 70*q - 22. Determine j(u).
2
Let x(q) be the third derivative of -q**5/60 + q**4/4 - 2*q**3/3 + q**2 + 6*q. Let a be 2 - 4/(-2)*2. What is x(a)?
-4
Let h(x) be the first derivative of 5/2*x**2 + 0*x + 22. Calculate h(-3).
-15
Let n(y) = 5*y + 102. Let x(j) = 2*j**2 + 68*j + 394. Let t be x(-26). Calculate n(t).
-8
Let n = 41 - 37. Suppose -4*v + 32 = -4*o, -5*v - 1 = 4*o + n. Suppose 4*s - 15 = -t, 0 = 3*s - 5*t - v - 14. Let x(k) = -k**3 + 4*k**2 - 3*k - 1. Give x(s).
-13
Let m(k) = 8*k - 2. Let r(o) be the second derivative of 17*o**3/6 - 3*o**2/2 + 3*o - 14. Let c(v) = -13*m(v) + 6*r(v). What is c(5)?
-2
Suppose 3*k = -3*s - 66 + 252, 5*s - k - 304 = 0. Let h = s - 59. Let l(c) = -4*c**h + 12*c**2 + 247*c - 247*c. Calculate l(1).
8
Let q(p) = -85655*p + 171584*p + 2 - 85928*p. Suppose -4*y - 10 = y + 2*j, 20 = -y - 4*j. Suppose 0*a - a - 6 = y. What is q(a)?
-4
Let f(g) be the third derivative of g**5/60 - 5*g**4/12 - 61*g**3/2 - 4*g**2 - 749*g. What is f(-9)?
-12
Let g(d) = d**2 + d - 4. Suppose -3*b - 2*c = 1133, -4*b + 216 = 4*c + 1724. Let j = b + 381. Give g(j).
2
Let h(t) = -t**3 - 5*t**2 + 2*t + 5. Let p be h(-6). Let w(z) = 5*z**2 - 1 + p*z**3 - 5*z - 30*z**3 - 1 - 1. Give w(4).
-7
Let q(h) = 34*h**3 - 4*h**2 - 3*h - 1. Suppose 0 = 134*r + 64 + 70. What is q(r)?
-36
Let l(p) = 101*p**2 + 32*p + 26. Let m(w) = 63*w**2 + 21*w + 17. Let r(d) = 5*l(d) - 8*m(d). Determine r(8).
-6
Let f(i) = -2*i - 36. Let r(t) = 4*t + 72. Let y(d) = -5*f(d) - 2*r(d). Let o be y(-17). Let m(x) = 4 - 12*x**2 + 4*x + 0 + 13*x**o. What is m(-5)?
9
Let p(t) = -5*t + 74. Suppose -8 = -4*d + 26 + 22. Calculate p(d).
4
Let g = -8613 - -8602. Let r(a) = -6*a + 23. What is r(g)?
89
Suppose 0*y - 12 = -4*n - 4*y, -3 = -n - 4*y. Suppose -3*j - n*h = -21, -2*j + 0*h = -5*h + 7. Let c(t) = t + 3. Give c(j).
7
Let i(q) = q**3 - 8*q**2 - q + 7. Let o(n) = 10*n - 80. Let j be o(6). Let k = -12 - j. What is i(k)?
-1
Suppose 5*s - 5*u + 6*u - 813 = 0, -s + 161 = u. Let t = s + -253. Let g = t - -90. Let c(r) = -r**3 - r. Give c(g).
0
Let j(z) = z**3 - 4*z**2 - 25*z - 53. Let y be j(8). Let p(o) = 12*o - 43. Determine p(y).
-7
Let z(y) = 2*y**2 + 6*y + 2. Suppose -57 = -17*x + 113. Suppose 7 - x = f. Calculate z(f).
2
Let n(w) = w**2 + 11*w - 13. Let i(g) = -g**2 - 10*g + 29. Let b(s) = 2*i(s) + 3*n(s). What is b(-13)?
19
Let f = -95 + 97. Suppose -22 = -f*v - 30. Let t(j) be the third derivative of j**5/30 + 5*j**4/24 - j**3/6 - j**2. Determine t(v).
11
Suppose 0 = -2116*d + 2122*d - 378. Suppose -d*z + 54*z + 18 = 0. Let r(q) be the second derivative of q**4/6 + q**3/6 + q**2/2 - q. Determine r(z).
11
Suppose 3374*g - 246 = 3333*g. Let h(x) = x + 1. Let m(w) = -2*w + 23. Let t(a) = 2*h(a) - m(a). What is t(g)?
3
Let t be (-8 + 385/44)/(3/(-16)). Let h(i) = -25*i - 91. Give h(t).
9
Suppose 3 - 43 = 4*t. Let i = -6 + t. Let v be i/4 - (0 + 0). Let b(h) = h**3 + 5*h**2 + 4*h - 2. Calculate b(v).
-2
Suppose 4*k - 21 = -4*z + 3*k, -6 = 2*k. Let q(x) = 0*x - 12*x - 2*x**2 + x**2 + x + z - x. Give q(-11).
17
Let i(j) = j**2 + 4*j + 4. Let f(x) = -x**3 - 13*x**2 - 14*x - 22. Let t be f(-12). Let u(a) = -t*a + 5*a - 315 + 292. Let h be u(6). Give i(h).
9
Let x be 0 - 4 - (0 + (4 - 120/12)). Let a = 69 + -30. Let s(j) = a - 39 + j**2 - j. Determine s(x).
2
Let i(w) be the second derivative of w**4/6 - 49*w**3/6 - 75*w**2 - 3309*w. What is i(-3)?
15
Let w(j) = 56 + 5*j - 104 + 32 - 127 - j. Determine w(36).
1
Let g = 27 + -29. Let u(r) = -10*r**2 - 4*r + 4. Let l(k) = 9*k**2 + 4*k - 3. Let v(w) = 7*l(w) + 6*u(w). Calculate v(g).
7
Let w(k) = k**3 + 13*k**2 + 16*k + 2. Let d be w(-2). Let g(c) = -c**2 + 12*c - 11. What is g(d)?
-39
Let u(b) = b**3 - 5*b**2 - 9*b - 40. Let w be u(7). Let p = -33 - -35. Let g(j) = 3 - 3*j - j**3 - 6*j**p - j + 2. Calculate g(w).
0
Suppose -k + 1 = 0, -4*k = -m - 0*m. Let u(i) = 8*i**2 + i**3 - m*i + 10*i**2 - 35*i**2 + 17*i**2. Suppose -2*q - 2 = -4*o, 0 = 3*o - q - 5 + 1. Give u(o).
15
Let j(v) = 7*v - 10. Let i(b) = -b + 2. Let n(l) = -6*l + 13. Let u(w) = 40*i(w) - 5*n(w). Let m(x) = 7*j(x) + 5*u(x). Determine m(9).
-4
Let w = 10 - 25. Let r be 3/(-5) + (-39)/w. Let o(k) be the second derivative of k**4/12 - 2*k**3/3 + k**2 + 668*k - 3. Give o(r).
-2
Let n(y) = -222*y**2 + 9*y + 9. Let f be n(-2). Let c = f + 896. Let j(q) = 22*q**2 + 2*q + 1. What is j(c)?
21
Suppose 0 = 2*p + 2*s - 10, 3*p + 0*p + 1 = 5*s. Let c(d) = -p - 9 + 0 + 0*d + d. Let q be c(5). Let l(k) = -k**2 - 4*k + 10. Determine l(q).
-11
Let q(h) = -2*h**2 + 110*h + 91. Let g(n) = n**2 - 36*n - 32. Let s(l) = 8*g(l) + 3*q(l). Determine s(-21).
17
Let l(n) = 141. Let f(v) = -v - 196. Let q(r) = 5*f(r) + 7*l(r). Calculate q(-2).
17
Let n(j) = -5*j + 9. Let t(f) = 3*f - 4. Let x(l) = 6*n(l) + 13*t(l). Suppose 10*r - 40 - 20 = 0. Let m be r/3 - (-16)/(-4). Calculate x(m).
-16
Let j(q) be the third derivative of -q**4/24 - 4*q**3/3 - 14*q**2 - 88. Suppose 0 = -5*d + 1 + 14. Suppose c = -0*x - d*x - 15, 0 = 2*x + 4*c. What is j(x)?
-2
Let x(r) = 3*r
|
{
"pile_set_name": "DM Mathematics"
}
|
r be (-10)/(-3) - 0 - 3/9. Let o = -1 + r. Find the second derivative of -1100*d**o - 9*d**4 + 1100*d**2 - 3*d wrt d.
-108*d**2
Find the second derivative of -478*n**4 + 1080*n**4 + 1431*n - 485*n**4 + 1769*n**4 wrt n.
22632*n**2
Let f(s) be the third derivative of 0*s + 282*s**2 + 35/2*s**3 - 11/12*s**5 + 0 - 1/12*s**4. Differentiate f(l) with respect to l.
-110*l - 2
Let k(i) be the first derivative of -1259*i**3/3 + 1841*i - 6340. What is the first derivative of k(g) wrt g?
-2518*g
Let m(s) be the first derivative of s**6/8 + 50*s**3/3 - s**2 - 11*s + 6. Let i(d) be the second derivative of m(d). What is the first derivative of i(c) wrt c?
45*c**2
Let l(s) be the third derivative of s**7/70 + 1081*s**6/120 - 11*s**5/20 - 167*s**3/6 + 2638*s**2 + s. Find the third derivative of l(t) wrt t.
72*t + 6486
Let j(v) = v**2 - 6*v + 2. Suppose -4*i = -3*i - 6. Let u be j(i). Find the second derivative of -u*p**4 + 6*p**4 + 3*p**4 + 8*p wrt p.
84*p**2
Let n(r) be the second derivative of 664*r**6/15 - r**3/3 - 67*r**2 - 284*r. Find the second derivative of n(k) wrt k.
15936*k**2
Let x(p) be the third derivative of 73*p**7/5040 - p**6/15 + 31*p**5/60 + 62*p**2. Let v(z) be the third derivative of x(z). Differentiate v(b) wrt b.
73
Let i(w) = 7*w**3 - 85*w + 3. Let u = -84 - -87. Let d(l) = -l**4 + l**3 + 1. Let o(x) = u*d(x) - i(x). Find the second derivative of o(b) wrt b.
-36*b**2 - 24*b
Let q(u) be the first derivative of 4561*u**7/7 - 59*u**3/3 - 2*u - 2788. Find the third derivative of q(p) wrt p.
547320*p**3
Let x(u) be the third derivative of 10*u - 193/24*u**4 + 0*u**3 + 0*u**5 + 0 + 101/120*u**6 - 1/210*u**7 + 10*u**2. What is the second derivative of x(d) wrt d?
-12*d**2 + 606*d
Let b(d) be the first derivative of 63*d**5/20 + 34*d**2 + 24*d + 26. Let s(j) be the first derivative of b(j). What is the first derivative of s(g) wrt g?
189*g**2
Find the third derivative of 47077919 - 3932*i**3 + 3462*i**2 - 47077919 wrt i.
-23592
Let a(d) = 10*d**2 - 2*d + 1. Let t be a(-2). Find the first derivative of -t + 74*n - 5 - 8 - 5 wrt n.
74
Let r(l) be the first derivative of -168/5*l**5 + 0*l**3 - 135*l + 174 + 0*l**2 + 0*l**4. Find the first derivative of r(u) wrt u.
-672*u**3
Let g(c) = 5526*c**2 + 4871*c + 2. Let f(k) = -5519*k**2 - 4867*k - 2. Let a(x) = 3*f(x) + 2*g(x). Find the second derivative of a(s) wrt s.
-11010
Let y(q) be the first derivative of 5 + 128/3*q**3 + 0*q + 0*q**2 - 97/4*q**4. Find the third derivative of y(l) wrt l.
-582
Let x(n) be the second derivative of -n**6/10 - 319*n**5/20 - 283*n**4/12 - n**3/6 - 23*n + 1. What is the third derivative of x(h) wrt h?
-72*h - 1914
Let y(s) be the second derivative of -211*s**7/14 - 709*s**4/12 - 812*s. Find the third derivative of y(t) wrt t.
-37980*t**2
Let p(x) = 24*x**3 - 15*x - 45. Let v(u) = u**3 - 2*u + 1. Let m(q) = 2*p(q) - 14*v(q). What is the derivative of m(b) wrt b?
102*b**2 - 2
Let k(w) be the first derivative of -1799*w**6/6 + 2*w**3/3 - 525*w**2 - 703. Find the second derivative of k(j) wrt j.
-35980*j**3 + 4
Suppose 29 - 3 = 2*s. What is the second derivative of -2*l**4 + 4 - 2 + s*l - 15*l + 5*l**4 - l**3 wrt l?
36*l**2 - 6*l
Let c(d) be the first derivative of -77/4*d**4 + 65 - 1/2*d**2 + 97*d + 0*d**3. Find the second derivative of c(r) wrt r.
-462*r
Let l(c) = 11*c - 63. Let b be l(6). What is the second derivative of -b*k - 15*k - 6*k**2 + 4*k - 26*k - 2 wrt k?
-12
Let a(s) be the first derivative of 31/5*s**5 + 0*s**2 + 72 + 1/4*s**4 + 0*s - 158/3*s**3. Find the third derivative of a(d) wrt d.
744*d + 6
Let u(p) = 3*p**2 - 3*p - 7 + 1496*p**3 - 1523*p**3 - 20. Let s(t) = t**3 - 2*t**2 + t + 1. Let j(o) = 2*s(o) + u(o). Find the second derivative of j(i) wrt i.
-150*i - 2
Let m(h) be the first derivative of 4568*h**3/3 - 769*h - 4239. Differentiate m(z) wrt z.
9136*z
Let x(p) be the second derivative of 69*p**5/10 + p**4/3 - 1013*p**3/6 - 475*p. Find the second derivative of x(k) wrt k.
828*k + 8
Let y(l) = 2*l**2 - 17*l. Let z(c) = 1102*c**2 + 2888*c. Let r(b) = -6*y(b) - z(b). What is the second derivative of r(u) wrt u?
-2228
Let n(u) = 340*u**2 - 2827*u + 6. Let l(g) = 681*g**2 - 5658*g + 10. Let b(j) = 3*l(j) - 5*n(j). Find the second derivative of b(m) wrt m.
686
Suppose -10*y = 977 - 2777. Find the first derivative of -56*i**2 + 5 + 0 + 9 + y*i**2 wrt i.
248*i
Let r = 218 - 217. Let j(d) = d**5 - 2*d**2 + 1. Let k(w) = 22*w**5 - 3*w**3 - 45*w**2 - 3. Let b(q) = r*k(q) + 3*j(q). Find the third derivative of b(h) wrt h.
1500*h**2 - 18
Suppose -2*z - 40 = 2*n + 74, 111 = -2*n + z. Let p be (-192)/n + (-3)/7. What is the third derivative of -8*v**6 + 11*v**6 + p*v**2 + 2*v**2 - 14*v**6 wrt v?
-1320*v**3
Differentiate 11459 - 4457 - 5788 - 427*q**3 wrt q.
-1281*q**2
Let z be (-91)/(-7) - (-12)/(-2). Find the second derivative of -z*l**5 + 4*l**3 + 24*l - 2 + 23*l - 49*l wrt l.
-140*l**3 + 24*l
Let y(s) be the third derivative of 0*s**3 + 0 + 11*s**2 + 1/30*s**5 - 1/35*s**7 + 0*s**6 - 1/3*s**4 + 3*s. Find the third derivative of y(q) wrt q.
-144*q
Let a(d) = -212 - 228*d**3 - 73 - 34*d**3 - 27. Let y(r) = 260*r**3 + 314. Let l(s) = -5*a(s) - 6*y(s). Find the first derivative of l(u) wrt u.
-750*u**2
Find the third derivative of -162*d**4 + 29*d**4 - 1871*d**2 + 199*d**2 + d**5 + d**5 - 152*d**4 wrt d.
120*d**2 - 6840*d
Let h(i) be the second derivative of -57*i**4/2 + 305*i**3/3 - 20*i. What is the second derivative of h(a) wrt a?
-684
Let g = 395 - 289. Find the third derivative of 2 - 13*o**2 - 68*o**3 - g*o**3 + 7*o**2 - 65*o**3 wrt o.
-1434
Let f(b) = -733*b**4 - 6*b**3 + 6*b + 185. Let s(d) = -1466*d**4 - 11*d**3 + 11*d + 370. Let u(t) = 11*f(t) - 6*s(t). Differentiate u(c) with respect to c.
2932*c**3
Find the third derivative of 1024*y**2 - 60*y**4 - 1208*y**2 - 79*y**3 - 2401*y**2 + 43*y**4 wrt y.
-408*y - 474
Suppose 4*c + 2*c - 18 = 0. Suppose c*j = 2*j - 0*j. Find the third derivative of 15*p**2 + j*p**4 - p**4 + p**4 + 19*p**6 wrt p.
2280*p**3
Find the first derivative of 17*h + 108 - 59*h - 1398*h**4 + 28 + 42*h wrt h.
-5592*h**3
What is the derivative of -983*p**3 - 158 - 46 + 36 - 1181*p**3 - 164 wrt p?
-6492*p**2
Let x(j) = -15*j**3 - 4*j**2 - 12*j + 29. Let g(s) = s**3 - 2*s - 2. Let q(b) = 3*g(b) - x(b). What is the second derivative of q(d) wrt d?
108*d + 8
Let o(u) be the third derivative of 221*u**7/42 - 103*u**3 - 346*u**2. Differentiate o(r) with respect to r.
4420*r**3
Let o(a) be the first derivative of 42*a - 63 - 49/2*a**2. Differentiate o(s) with respect to s.
-49
Suppose 0 = 43*s + 146 + 26. Let b(d) = -23*d + 126. Let f(t) = -t**2 - 24*t + 125. Let g(r) = s*b(r) + 3*f(r). Find the first derivative of g(z) wrt z.
-6*z + 20
What is the third derivative of 3*x**6 - 4*x**6 + 161*x + 2*x**5 + 2*x**2 - 131*x - 164*x**4 - 2*x**5 wrt x?
-120*x**3 - 3936*x
Let g(p) be the second derivative of -38*p**7/3 - 3*p**4 - p**3/6 + 14*p - 22. Find the third derivative of g(k) wrt k.
-31920*k**2
Find the first derivative of 259 + 330 + 38*s - 941*s**3 + 947*s**3 wrt s.
18*s**2 + 38
Let q be 2*(-2)/6*-24. What is the derivative of q + 25 + w**2 - 6*w**2 + 55*w**2 wrt w?
100*w
Let f = 45 - 43. Suppose f*b = 4*y - 18, 7 = 2*y + 5*b + 28. What is the third derivative of -2*p**4 + 30*p**2 + 13*p**y + 40*p**6 + 2*p**4 wrt p?
4800*p**3
Let o(d) be the first derivative of 1028*d**7/7 + d**6/6 - 95*d**3/3 + 2*d**2 - 3579. What is the third derivative of o(g) wrt g?
123360*g**3 + 60*g**2
What is the third derivative of -549*l**3 + 117 + 420 - 1517*l + 755*l + 765*l + 2*l**2 - 4503*l**3 wrt l?
-30312
Let u(q) be the first derivative of 86*q**4 + 10*q**3/3 - q**2/2 + 4237*q - 9964. Find the second derivative of u(n) wrt n.
2064*n + 20
Let j(y) = -66*y**2 + 20*y + 343. Let m(z) = 32*z**2 - 10*z - 171. Let i(v) = 4*j(v) + 9*m(v). What is the first derivative of i(r) wrt r?
48*r - 10
Let y(v) be the first derivative of -322*v**3 + 831*v**2 + 1139. Find the second derivative of y(x) wrt x.
-1932
Let w = -24452 + 24452. Let u(x) be the third derivative of w + 4*x**3 - 1/12*x**6 + 0*x + 0*x**4 + 0*x**5 - 23*x**2. What is the derivative of u(h) wrt h?
-30*h**2
Let x(l) = -24*l**3 - 23*l - 18. Let n(p) be the second derivative of p**2 - 54*p. Let b(g) = -18*n(g) - 2*x
|
{
"pile_set_name": "DM Mathematics"
}
|
v (c) -0.1
b
Let d = -23755 - -23756. What is the closest to d in -244, -1/3, -4, 2?
2
Let b = 1.74 + 5.16. Let g = b - 6.5. Let d be ((-13 - -7) + 6)/(-1 + 0). What is the nearest to 0.1 in -3, d, g?
d
Let n = -2.8 + 3. Let m = 20.12 - 233.32. Let x = 215.2 + m. What is the closest to n in 0.4, x, -1/3?
0.4
Let l = 94.1102 + -0.2102. Let o = -94 + l. Let k = 0.09 + 0.01. Which is the closest to o? (a) -0.2 (b) -1 (c) k
a
Let h = -35 + 59.5. Let w = -25 + h. Let i = -31 + 34. Which is the nearest to 7? (a) i (b) w (c) 1
a
Suppose -24*o = -138*o + 71*o + 43. What is the nearest to o in 6, 3/4, -11?
3/4
Let y = 58 - 58. Let r = -1032 - -1033. Let u = -2/331 + -508/25487. Which is the nearest to u? (a) -0.5 (b) y (c) r
b
Let n be -6 + 0 + 6732/1089. What is the nearest to -263 in n, -2, 2/7, 0.4?
-2
Suppose 5*o - 33 + 28 = -5*i, -2*i - 4*o + 4 = 0. Which is the closest to 2? (a) -0.13 (b) -2 (c) i (d) -2/5
c
Let v(d) = d**3 - 10*d**2 + 6*d + 28. Let w be v(9). Let t = 549 + -579. Which is the nearest to 1? (a) t (b) w (c) 0.4
b
Let r be 3*8/(-18) - 88/33. Let h = -17/56 + 1231/4424. Which is the nearest to h? (a) 0.5 (b) r (c) -2
a
Let w = -0.8932 - 2.1068. What is the closest to -1 in 191, w, 2/7, -0.1?
-0.1
Let v = -258 - -433. Let g = v - 171. Suppose 0 = 3*s - s + 6. What is the nearest to -1 in g, s, 1/2?
1/2
Suppose 2*g + 7*t - 6*t = -10, 5*g - 3*t + 25 = 0. Which is the nearest to 0.1? (a) g (b) 3 (c) -1
c
Let f = -0.0468 + -0.2532. What is the nearest to 1 in -2, f, -3.19?
f
Let u = -187744/13 + 14442. What is the closest to -3 in u, 1.2, -16?
u
Let m be (-12)/(-64)*-4 - -7*(-4)/16. Which is the closest to 1/87? (a) -0.5 (b) 1/5 (c) 2 (d) m
b
Let a(x) = -x**3 + 18*x**2 - 19*x + 40. Let h be a(17). Let l be (2/h)/((-20)/45). What is the closest to 1 in 0, 5, l?
0
Let j = 0.0807 - -0.0193. What is the nearest to j in -0.05, -0.4, 0.2, -2?
0.2
Let n = 20892 + -20893.9. Which is the nearest to 6? (a) -1 (b) -25 (c) n
a
Let k = -2.1453 + 2.4453. Which is the closest to k? (a) -1/80 (b) 4 (c) -1/4
a
Suppose 0 = 5*i - 14*i - 522. Let t = 63 + i. What is the nearest to 0.1 in 1/8, t, -1?
1/8
Let y = 7425 + -7424.1. What is the nearest to -1/4 in y, 2/11, -2?
2/11
Let w = -0.593 - 278.407. Let x = -282 - w. Which is the closest to 1? (a) -0.1 (b) -4/5 (c) x
a
Suppose -6*i + 10 = 22. Let w be ((-2 - i) + 2)*-7. Let j be w/3 - (-1 - 3). What is the nearest to j in -1, 2, 0?
-1
Let d = 0 + 0.4. Suppose -1956*h = -1886*h - 2730. What is the closest to -1/2 in 5, d, h?
d
Let b = 0.05495 + -0.05495. What is the closest to b in 5, -4, -9, 0?
0
Let f = -1.09729 - -0.09729. Which is the nearest to f? (a) -2 (b) 5 (c) 0.4 (d) 1
a
Let q = 17.8 - 17.6. Let z = -226 - -226.1. Which is the nearest to q? (a) -2 (b) z (c) 2 (d) -5/2
b
Suppose -3 = 3*i - 6*i. Let y = -122.14 - -118. Let p = y - -4.14. Which is the closest to 0.4? (a) p (b) i (c) -1
a
Let m = 233 + -234. Let x be (-7)/(-21)*m*27/6. What is the closest to -3 in x, -0.2, -5, 2?
x
Let o be (-126)/8*156/117. Let q be (-5 - -1) + 6 + o/3. Let k = 0.2 - 0.3. Which is the closest to -6? (a) k (b) 0.1 (c) q
c
Let g = 453 - 452.8. Which is the closest to -0.1? (a) g (b) 4 (c) -0.025
c
Suppose 0 = 4*u - 2*z + 58, 3*z - 4 = -3*u - 7. Which is the closest to 0.1? (a) u (b) 1/15 (c) -0.01 (d) -5
b
Let f(n) = -8*n + 20. Let w be f(2). Let k = w + -32/7. Which is the closest to 0? (a) 0.5 (b) k (c) 2/3
a
Let w = 3680/11039 + -1/33117. What is the closest to 6 in w, 6, 25?
6
Let u = 5843.5 - 5844. Which is the closest to 7/2? (a) 3 (b) u (c) 0.5
a
Let b = 129/56 - 757/280. What is the closest to b in 14, -0.2, -0.4?
-0.4
Let v = -2/283 + -1122/1415. Let t = 1.1 + -6.1. Let r be 45/(-6)*(560/(-42))/20. What is the nearest to -4 in r, v, t?
t
Let n = 243 + -254. Which is the closest to -1/3? (a) 0.1 (b) n (c) -4 (d) -2
a
Let w = -94.3 + 94.2382. Let l = w - -0.0518. What is the nearest to 0.2 in l, -5, -1/4?
l
Let j = 4193 - 4193.3. Which is the nearest to 4/25? (a) -3 (b) -4 (c) j
c
Let g(o) = 2*o - 10. Let z be g(10). Let k(l) = 11*l + 40. Let n be k(-4). Which is the nearest to 1/2? (a) -0.2 (b) z (c) n
a
Let g = -895/91 + 126/13. Which is the nearest to -3? (a) g (b) 4 (c) -0.06 (d) 3
a
Let g = -252 + -75. Let u = g + 332. Which is the closest to 1/2? (a) 0.4 (b) u (c) -0.5 (d) -1
a
Let i = 392.907 + -393.907. Let h = 3 - 2.5. What is the closest to 2/5 in h, 0.1, -0.1, i?
h
Let z = 98.95 + -98.35. Which is the nearest to 2? (a) -2/11 (b) -2/7 (c) z
c
Let s be 68/20 - (-12)/20. Suppose 0 = -s*h - 143 + 207. Let n be -1*-4*(-4)/h. What is the nearest to n in 0, -12, 0.2?
0
Let g(v) = v**3 - 19*v**2 + 38*v - 58. Let s be g(17). Let x be 10/(-28)*(-18)/225*s. What is the closest to -2 in 0, 2/23, 0.1, x?
0
Let k be 163/42 + 80/96. Let o = k - 5. Let v be (((-12)/(-9))/2)/(-3). Which is the nearest to 3? (a) o (b) v (c) 0.3
c
Let u = 172 - 67. Let k = 105 - u. Which is the closest to k? (a) -0.5 (b) -4 (c) 1
a
Let c = 463.3 + -450.9. What is the nearest to 3/2 in c, 3, -1, -5?
3
Let r(w) = w**3 + 10*w**2 + 6*w - 16. Let h be r(-9). Let d = -0.342 - -0.842. Which is the nearest to h? (a) -4 (b) d (c) 0
b
Let z = 187/5 + -37. Let l = -20 + 19. Let r be (2 - 1)*2/l*-1. What is the closest to z in r, 5, -3/5?
-3/5
Let y = -3/16 + 7/16. Let m = -1227/1604 + 6/401. What is the closest to y in -1/3, -37, -0.3, m?
-0.3
Suppose 6*u = 102 + 36. Let n = u - 21. Suppose -4*x + 8 = -w, 3*x = 4*w - n*w + 11. Which is the closest to 3? (a) w (b) 5 (c) 0.3
b
Let y = 4 - 1. Suppose -p + 14 = 8*g - y*g, -3*p + 3 = 2*g. Let o = -843011/5 + 168602. Which is the closest to p? (a) o (b) 0.3 (c) -2/37
a
Let o = -14975 - -14974.92. What is the nearest to 231 in o, 4, 5?
5
Let w = -10520 + 10521. Which is the closest to 2/5? (a) -4 (b) 1/3 (c) 28/9 (d) w
b
Let m = 0.319 + -183.319. Let t = m - -182.8. Which is the closest to 2? (a) 5 (b) t (c) 10
b
Let i = 6989 - 6990. What is the closest to -1/3 in i, -5, -1/3, -67?
-1/3
Let q be (32/360)/((-14)/(-21)). What is the closest to -0.8 in q, -4, 4, -0.3?
-0.3
Suppose 21*k = 8*k. Suppose k = -3*g - 5 + 2, 5*o - 3*g - 23 = 0. What is the nearest to -0.6 in o, 3, -9?
3
Let i = -0.06 - -0.26. Let y be 12/16*(-4)/(-12). Let z = 5 + -29/6. What is the nearest to y in i, 0, z?
i
Let z(j) = -j**3 - 2*j**2 + 21*j + 7. Let f be z(0). Which is the closest to f? (a) 3/4 (b) -1 (c) -26 (d) 5
d
Let z = 0.5 - -4.5. Let t = 701.9743 - 702. Let a = -0.1743 + t. What is the closest to -1 in a, 0, z?
a
Let o = 1951 + -1952.1. Suppose 3*t = 2*m - m + 11, 2*m + 5*t = 22. What is the nearest to m in -0.5, -2/5, o, 5?
-2/5
Suppose 29*z + 1914 = 7*z. Let i be ((-10)/(-18))/((-145)/z). Which is the closest to -3/5? (a) -1/7 (b) i (c) -4/7
c
Let y = 127.05 + -127.13. Let w = 0 - 0. What is the closest to w in 3, y, -5?
y
Let x = -0.0649 + -0.3351. What is the closest to 14.7 in x, 2/7, 4, 3?
4
Let m = 242.61 + -269.61. What is the closest to -4 in -1, -0.01, -4, m?
-4
Let p be (-14)/(-161) - 20/230. Let w = 695.9 - 696. What is the closest to w in -2, -0.3, p, 1/3?
p
Let s = 3144 + -3141. Which is the nearest to -0.2? (a) -2 (b) s (c) 1/27
c
Let p = -243.639 - -0.639. Let b = 242 + p. What is the closest to b in 0.8, 1, 4?
0.8
Let j = 16 + -17. Suppose -b = 0, -4*q + 4*b + 1 = -7. Suppose q*u + 4*p - 12 = 0, -4*p + 3 = -u - 3. What is the closest to j in -2, 1, u?
-2
Let q = 66 + -67. Let p(r) = r**3 + 10*r + 1. Let j be p(0). What is the nearest to 1/8 in -5, -2/19, q, j?
-2/19
Let h = 477 - 270. Let z = 207.2 - h. Which is the closest to -1? (a) -3 (b) -0.5 (c) z
b
Let j = 115.166 - 115. Let k = j - 0.366. What is the nearest to k in 0.01, 4, -0.4?
-0.4
Let x = -420 + 424. Let d = -41 - -39. Let o = -1 + 0. What is the nearest to o in x, d, -5?
d
Let p be (4/40)/(2/(-4)). Let w = 178412.5 - 178412. What is the closest to 0.1 in 2, w, p, 3?
p
Let s = -1.06 - -0.06. Which is the closest to -4/5? (a) 1/5 (b) s (c) 0.053 (d) 2/11
b
Let n = -22102/3 + 7368. What is the nearest to n in -4, -3, -17, 2/5?
2/5
Let w = 18.677 - 23.677. What is the closest to 0.1 in 4/3, -1/16, w?
-1/16
Let o be 10/(-38
|
{
"pile_set_name": "DM Mathematics"
}
|
1/93
Let m = -4252.8 + 4253. What is the nearest to 4 in -84, 0.3, 0, m?
0.3
Let r be 2/1 - (-26)/(-10). Let x = 246.7 + -246.72. What is the nearest to x in r, -3/4, 3/5?
r
Let x = -45121/77 + 586. Let u = -34/77 + x. Let z = u + 45/56. What is the closest to 0 in z, 3/4, -5?
z
Let r be 154/(-49) - (-6 + (-3)/(-1)). Let d = 9/35 - r. Let w = -4 - -6. Which is the closest to d? (a) 2/21 (b) w (c) -1/6
a
Let n be (2244/(-16))/(-17) + -8. Let i be (2650/135)/(1/6). Let h = 118 - i. What is the nearest to h in n, -5/2, -1?
n
Let j(r) = -r**3 + 13*r**2 + 18*r - 18. Let h be j(14). Suppose 3*n = 8 - h. Let p be (-2)/n + 8*(-3)/45. Which is the closest to -7? (a) 4 (b) -2 (c) p
b
Let j be 7/(-1 + (-9)/(-6)). Let t = 0.24 - 0.74. Let u = 693 + -693. What is the nearest to u in 1/5, t, j?
1/5
Let t be (26 - 412/16) + 34/(-72). What is the closest to 0 in -4, 21, -16, t?
t
Let g = -2.148 - -2.648. Which is the closest to 1/8? (a) 3 (b) -253 (c) g
c
Suppose -5*i = -r + 15, -2*i - i - 3*r - 9 = 0. Let t be (0 - i/(-2))*154/(-231). Which is the nearest to -145? (a) t (b) -1 (c) 0.3
b
Let n = 4.457 - 4.657. Let d = -10 + 10. Which is the nearest to n? (a) 0.3 (b) 0.8 (c) d
c
Let m = 757/3861 - 5/351. What is the nearest to -2 in -2.5, 0, m, -2/5?
-2.5
Let x = -0.9945 + 1.4945. What is the nearest to 2 in -0.5, 5, x, 0.4?
x
Let x = 0.4 + -0.4. Let d = 1 - x. Let t(y) = -y**3 + 6*y**2 + 2*y - 39. Let q be t(4). What is the closest to d in 0.3, q, 3?
q
Let u = 2439/13 - 187. Let o = -2/39 - u. Suppose 0 = 298*y - 332*y + 68. What is the closest to o in 0.1, 3/2, y?
0.1
Suppose -102*m + 199*m - 88 - 106 = 0. Which is the nearest to m? (a) 25/2 (b) 4/7 (c) 9/4
c
Let g = 1324/385 + -114/35. Which is the nearest to -49? (a) g (b) -1 (c) -0.4 (d) -0.5
b
Let u = -23.31 + 23.51. What is the nearest to 2/253 in 2, u, 2/7?
u
Let w = -1.3 - 0.7. Let j = 2.3 + w. Let s = 273 + -269. Which is the closest to s? (a) j (b) 1/10 (c) -5
a
Let x be 6 - (-20)/8*(-104)/50. Let z = 3.8 + -4. Which is the nearest to -1? (a) z (b) 4 (c) x
a
Let s = 0.051 - -0.949. Suppose -257*i = -260*i. What is the closest to 0 in i, 2/3, -5, s?
i
Suppose 4*f = -0*f. Let p = -40.76 + 42.76. Which is the nearest to 2? (a) 0.2 (b) p (c) f
b
Suppose -3 = 3*u - 30. Let s(q) = -q**3 + 8*q**2 + 7*q + 21. Let z be s(u). Suppose z*d = -d + 8. What is the closest to d in 13, -3, -0.5?
-0.5
Let w = -4.89 - 0.11. Let j = -117 - -305. Let t = j + -751/4. Which is the nearest to t? (a) -0.3 (b) -0.4 (c) w
a
Let r = 1564.4 + -1563.4. What is the nearest to -409 in 1/11, -0.5, r, 0.1?
-0.5
Let r = -1291 + 1855. Let m = 564.4 - r. Which is the closest to -4/7? (a) -0.5 (b) 2/23 (c) -2 (d) m
a
Let k = 0.227 + -0.427. Which is the nearest to -1? (a) 1/5 (b) k (c) 15 (d) 5
b
Let j = 8 + -8.1. Let z be (-2)/11*(5 + -6). Let v be (-4 + -3 - -6)*6. What is the closest to v in -2/19, z, j?
-2/19
Let p = 1637 - 1636.5. What is the nearest to 4 in -11, -2, 0.2, p?
p
Let g be 7*3/(-18)*8/(-14). Let z = -2598/13 + 200. What is the nearest to -2 in g, -0.01, z?
-0.01
Let w = -0.25 + -0.05. Let v = -0.1 + w. Let l = -120935 + 120938. What is the nearest to 0.2 in l, 4, v?
v
Let i = -3.86 - -4.36. What is the nearest to i in -1/9, 7, 4, -1?
-1/9
Let q = -18/1139 + 3507/5695. What is the nearest to 0.1 in q, 3, -0.05?
-0.05
Let v = 32.6 - 32.5. Which is the closest to 0? (a) -1 (b) v (c) -3/4 (d) 6
b
Suppose -170 = 2*k + 118. Let q = k + 155. Which is the closest to -1/2? (a) q (b) 2/5 (c) 0.1
c
Let s = 12714 + -12713. Let f = -9/32 + 141/160. Which is the nearest to 7/5? (a) -2 (b) s (c) f
b
Let j = -2.948 + -0.052. Let a be ((-24)/(-80))/((-30)/(-25)). What is the nearest to 1 in j, a, 2/21?
a
Let k = -20.3 + 21.3. Let i = 10.5 + -9.2. What is the closest to k in i, 3, -3/7?
i
Let t(d) = d**3 - d**2 - 2*d + 1. Let f be t(0). Let j = 0.19 + -1.79. Let a = j - -1.4. What is the closest to -2/3 in 0.2, f, a?
a
Let v be 64/(-160) + 2/(-5) - (-484)/330. Which is the closest to v? (a) -6/5 (b) -0.4 (c) 0.3 (d) -19
c
Let t = -0.07 + 1.07. Let s(n) = 4*n - 72. Let u be s(22). Let m be 0 - 86/u - -5. Which is the closest to t? (a) -4 (b) -2/11 (c) m
b
Let x be 4 - 0 - (14 + -14). Suppose -d - 2*i + 5*i + x = 0, 4 = d + 2*i. Suppose -7*f + d = 11. Which is the closest to -1? (a) 1.6 (b) -2 (c) f
c
Let m be 2/9 - (-92)/72. Let p = 19.012 + -19.612. What is the closest to 0 in 1, m, p?
p
Let f = -0.124 + -40.876. Let r = 41.4 + f. Let h = 3.1 - 0.1. Which is the nearest to -1.5? (a) h (b) r (c) 0.2
c
Let h = 6.442 + -3.442. Which is the nearest to -0.15? (a) h (b) 0 (c) 5 (d) 11
b
Let l = -94 - -94. Let x = -0.567 - -0.967. Let r be 4/(-14) + 26/42. Which is the closest to r? (a) -4 (b) x (c) l
b
Let h = -1.302 - -71.002. Let s = h - 70. Let q = 1 + -3. Which is the nearest to 2? (a) q (b) s (c) -0.1
c
Let q = -62 - 46. Let t = -110 - q. What is the nearest to t in -7, -2, -0.2, -3?
-2
Let f be 1/3 - (-376)/141. Let g = 55 + -51. Let x be (-2)/(-4) - (-21)/(-6). Which is the closest to x? (a) -3 (b) g (c) f
a
Let h = -14 - -12. Let u = 89 + -89. Suppose 4*j - 2 - 4 = 2*f, u = -2*j. Which is the closest to -1? (a) h (b) f (c) -0.03
c
Let q = 1/6399 - -3641024/44793. Let s be -5 - 228/((-3)/(-1)). Let f = q + s. Which is the closest to -2/7? (a) -2 (b) f (c) -2/5
c
Let w = -23 - -38. Let p be (-27)/w + 2 + 0. Let i = 99.8 + -100. Which is the nearest to p? (a) i (b) 4/5 (c) 0
c
Let f be 3 + 2185/(-627) - (-6)/(-33). What is the closest to f in 337, 2/7, 3?
2/7
Let d = 0.044 + -3.044. Let s = d - 45. Let q = s - -44. Which is the closest to 0.3? (a) 0 (b) -0.2 (c) q
a
Suppose 11*g = 2010 + 4975. Let t = g - 631. Which is the nearest to -2? (a) 0 (b) -2/11 (c) t (d) 17
b
Let v = 309542 + -309542. Let w = 4.04 + -0.04. Suppose 8 = 4*f + 5*l, 5*l = l + 16. What is the closest to w in -1, v, f?
v
Let y be (12/14)/(75/35). Which is the closest to y? (a) -1/4 (b) 1/9 (c) -15/2
b
Let h = -10135/1743 + 36/83. Let n = h + 17/3. Let i = -4 + 4.2. Which is the nearest to n? (a) 0.5 (b) i (c) -0.1
b
Let w be 24/(-63)*(-81)/(-108). What is the nearest to -3 in 2/3, -8/5, w?
-8/5
Let s be 4/(-6) - 140/(-30). Let j = -2.59 - -3.29. Which is the closest to 2? (a) s (b) -0.5 (c) j
c
Suppose -4*k + 19 = q, k = -3*q + 19 - 6. Let l be (5 - (-26)/(-6))*60/(-160). What is the nearest to 0 in l, 0.3, q?
l
Suppose -1824*h = -1831*h - 161. What is the nearest to 0 in -3, 0.3, h?
0.3
Let p = 0.12 - 0.22. Let t be -56*14/(-224) + -5. What is the nearest to -0.1 in p, t, 0.5?
p
Let q be (-7)/20 - (-7)/(-28). Which is the nearest to q? (a) -2 (b) -920 (c) -2/9
c
Let h = 1300 - 1299. Let j be (-2)/(-8)*8/17. Which is the nearest to h? (a) j (b) 0.3 (c) -4/3
b
Suppose -7*w = 11*w - 18. Let g be ((-2)/(-133))/(5/((-105)/9)). Which is the nearest to 1? (a) -0.1 (b) w (c) g
b
Let g(h) = 2*h**3 - 25*h**2 + 6*h + 74. Let l be g(12). What is the closest to l in -2/9, 2, 1/8, 5?
2
Let x = -7/20 - -1/10. Let f = 5506.2 - 5506. Which is the closest to 1? (a) f (b) x (c) 2/23
a
Let y be 212/44 + 6/33 + (-342)/63. What is the nearest to 5/2 in 6/7, y, -1, -4?
6/7
Suppose w + 43 = 3*k - 4*w, 3*k - 4*w = 44. Suppose -2*x - 12 = x + 2*c, 4*x = -4*c - k. Let m = -20.684 - -24.684. What is the closest to -0.1 in x, 1/6, m?
1/6
Let i = -144 - -244. Let y = 2215.3 + -2215. What is the closest to 0.1 in 0, i, y?
0
Let x be -2 + (-1)/((-3)/(-2)). Let o = 49352 + -49351.8. Which is the nearest to -5? (a) o (b) x (c) -0.1
b
Let f = 0.9111 - -0.0889. Which is the nearest to -0.1? (a) -0.2 (b) 6 (c) 2/81 (d) f
a
Suppose -4*w - 30 = -5*h, 0 = 71*w - 70*w + 5. Which is the nearest to h? (a) 4 (b) -4 (c) 1/13
c
Let u be 8/6*3/18. Let d = 2 - 0. Let y = -9188.6 - -9188. What is the closest to -1 in y, d, u?
y
Let j = 26 - 16. Suppose -27 = -j*r + 23. Which is the closest to 0? (a) -4 (b) r (c) -0.1
c
Let i(v) = v**3 - 29*v + 138. Let p be i(-7). Which is the nearest to -85/6? (a) 3 (b) p (c) -29
b
Let i = -471 - -57. Let b = i - -415. What is the closest to b in -4, -0.3, 0.4?
0.4
Let n be (-102)/(-25) - 220/2750. Which is the closest to 9/101? (a) n (b) -1 (c
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 7193
Simplify ((sqrt(98)*-1*-5)/sqrt(2))/((-1*sqrt(567) + sqrt(567) - sqrt(567))*6 + sqrt(567) - sqrt(567)).
-5*sqrt(7)/54
Simplify (-4*(sqrt(200) - (sqrt(200) + (-1 + sqrt(200) - sqrt(200)))) + 4)**2 + sqrt(200)*-2*-4 + sqrt(200) + -1 + -5.
-6 + 90*sqrt(2)
Simplify (-1*sqrt(130)/((-1*sqrt(90) - sqrt(90))/sqrt(9)))**2*-5.
-65/4
Simplify 3 + (sqrt(4032)*-3)/sqrt(9) + sqrt(49)/(6*sqrt(252)).
-863*sqrt(7)/36 + 3
Simplify ((-1 + 0 + sqrt(208) - sqrt(208) - sqrt(208))*-3)**2 - ((sqrt(208)*1 - sqrt(208))**2 + 2 + 2).
72*sqrt(13) + 1877
Simplify (sqrt(260)/(sqrt(5) - sqrt(80) - sqrt(5)) - -2*sqrt(4212))/(sqrt(196) + ((sqrt(196) + sqrt(196)*1 + sqrt(196))*-6 - sqrt(196)) - sqrt(196)).
-71*sqrt(13)/532
Simplify (-6*sqrt(300)/sqrt(10))/(sqrt(1000) + (sqrt(1000) + sqrt(1000)*2 + sqrt(1000) - sqrt(1000)) + sqrt(1000) - sqrt(1000)).
-3*sqrt(3)/20
Simplify (4 + sqrt(192) + -1 + 4 - 1*((sqrt(192) - (-4 + sqrt(192)*1)) + sqrt(192)))**2.
9
Simplify ((sqrt(405)*2 - sqrt(405)) + sqrt(45) + sqrt(45)*-2*1)/(4*(4*sqrt(81) + sqrt(81) + sqrt(81) - sqrt(81))).
sqrt(5)/30
Simplify (-5 + (0 + sqrt(2448) - -6*(sqrt(17) - sqrt(153))))*-2 + 3.
13
Simplify (3*(sqrt(65) + (sqrt(65) - -4*sqrt(65)*-2 - sqrt(65))))/(-1*sqrt(20)*4).
21*sqrt(13)/8
Simplify (5*((sqrt(1584) - (sqrt(1584)*-3 - sqrt(1584))) + sqrt(11) + 4 + 2*sqrt(176)*-2))**2.
9000*sqrt(11) + 557275
Simplify (((-1*sqrt(605) - sqrt(605)) + sqrt(605) + 1)**2 - sqrt(605) - ((sqrt(605)*1 - sqrt(605)) + sqrt(605))**2*5) + ((sqrt(605) - -6*sqrt(605)*2) + 0)**2.
-33*sqrt(5) + 99826
Simplify (sqrt(2268) - (sqrt(2268) - (-1 + sqrt(2268)))*6 - (sqrt(2268) - (-1 + sqrt(2268))*-2))**2*3.
864*sqrt(7) + 27264
Simplify 4*1*(sqrt(49)/sqrt(7) + 3)*-6*5.
-360 - 120*sqrt(7)
Simplify sqrt(78)/(sqrt(36)/sqrt(96)) + (sqrt(91)*2*-5)/sqrt(7).
-6*sqrt(13)
Simplify -4*((sqrt(242) - (sqrt(242) + sqrt(242)*-1)) + 3 - sqrt(242))**2 + 0.
-36
Simplify ((sqrt(133) - (sqrt(133) + 2*sqrt(133)*-2)) + -3*sqrt(133)*-1)/(2*(3*sqrt(847) + sqrt(847))).
7*sqrt(19)/88
Simplify (-4 + (sqrt(17)*1 + sqrt(17))**2)*3 - (-1 + (sqrt(2057) + 0 - sqrt(2057))**2).
193
Simplify (((-2*sqrt(110) - sqrt(110)) + sqrt(110))*5)/(sqrt(640)/sqrt(4)) + 0.
-5*sqrt(11)/2
Simplify ((sqrt(396) - (sqrt(396)*4 + sqrt(396)))/sqrt(9))/((sqrt(64)/sqrt(4))/sqrt(4)).
-4*sqrt(11)
Simplify (-1*(sqrt(504)/sqrt(9) - sqrt(56)))/(sqrt(8) + sqrt(8) + sqrt(80)/sqrt(40) + sqrt(8)).
0
Simplify ((sqrt(240)*1 - sqrt(240) - sqrt(240))/sqrt(10))/sqrt(12) + (1 + sqrt(2)*-2 - (sqrt(200) + 1))**2.
-sqrt(2) + 288
Simplify (-1*sqrt(99)*-3*3)/(sqrt(72)/(sqrt(8) - (sqrt(8) - 2*sqrt(200)))).
90*sqrt(11)
Simplify ((sqrt(204) - (-3*3*sqrt(204) + sqrt(204)))/(sqrt(60)/sqrt(5)*-6) + 5)**2.
-15*sqrt(17) + 253/4
Simplify 3*(-3 + sqrt(1053)) + (-5 + -1*sqrt(13))**2*-4.
-161 - 13*sqrt(13)
Simplify -1*(-1*sqrt(484))/(sqrt(10)/(sqrt(15)/sqrt(3))).
11*sqrt(2)
Simplify ((-1*(sqrt(6) - sqrt(150)))/(sqrt(2) - (sqrt(22)*6)/sqrt(11)) + 1)**2.
-8*sqrt(3)/5 + 73/25
Simplify 5 + (3 + sqrt(108) - sqrt(3) - ((sqrt(3) + 1 - sqrt(3)) + -5))**2*-1*-6.
420*sqrt(3) + 749
Simplify ((sqrt(75) + -3)**2 - sqrt(30)/(sqrt(10)*1)) + 4*sqrt(30)/(-2*sqrt(10)).
-33*sqrt(3) + 84
Simplify ((sqrt(1216) + (sqrt(1216) + sqrt(1216)*4 + sqrt(1216))*-4)*-3 + (-4*2*sqrt(1216) - -5*(sqrt(1216) + -1*sqrt(1216) + sqrt(1216))))**2.
5296896
Simplify -1 + (-3 + (2*sqrt(1088))**2 + (-5 + 0 + sqrt(1088) - sqrt(1088)))*-1.
-4345
Simplify 2 + ((sqrt(126) + 6*sqrt(126))/sqrt(6))/(sqrt(3) - (1*sqrt(432) + sqrt(3)) - sqrt(3)).
-7*sqrt(7)/13 + 2
Simplify (4*3*(sqrt(385)/(sqrt(7) + -2*sqrt(7)))/(sqrt(60)/(sqrt(12)*2)))**2.
6336
Simplify ((sqrt(462)*2)/sqrt(11) + sqrt(42))/(-3*sqrt(6)*1) + 2.
-sqrt(7) + 2
Simplify -4 + -4*(sqrt(11) + sqrt(132)/sqrt(300) + ((sqrt(891) - (-2 + sqrt(891))) + sqrt(891))**2).
-3584 - 744*sqrt(11)/5
Simplify 3*-2*sqrt(19)*5 + 4 + (0 + sqrt(76))**2 + 0.
-30*sqrt(19) + 80
Simplify (sqrt(108)/sqrt(4) - sqrt(27)) + -2 + 6*(sqrt(36)*1)/sqrt(12).
-2 + 6*sqrt(3)
Simplify 3*(sqrt(98) + -2 + 3)**2 - ((sqrt(98) + 2 + 2)**2 + sqrt(98) - (0 + sqrt(98) + 0)).
-14*sqrt(2) + 183
Simplify sqrt(242) + sqrt(242) + ((sqrt(242) - (sqrt(242) + 0))**2 - sqrt(242)) + 0 - (1 + sqrt(242))*-6 - ((-4 + sqrt(162) + -1 + sqrt(162))**2 + 1).
-668 + 257*sqrt(2)
Simplify (sqrt(448) - (sqrt(448) + -5 + sqrt(448))*-5 - (2 + 1*sqrt(448)))**2.
-4320*sqrt(7) + 45529
Simplify (sqrt(48)/sqrt(400))/(sqrt(256) - (sqrt(256) + 3*sqrt(256)*-6)).
sqrt(3)/1440
Simplify (sqrt(13) + -1)*6 + (1*sqrt(130) + sqrt(130))/sqrt(10) + sqrt(26)/(sqrt(24)/(sqrt(12) + (sqrt(12) - sqrt(24)/sqrt(2)))).
-6 + 9*sqrt(13)
Simplify (2*sqrt(27)*5)/((sqrt(360)/sqrt(8))/sqrt(5)).
10*sqrt(3)
Simplify 2*sqrt(117)*4 + (sqrt(26)/sqrt(32) + sqrt(39)/sqrt(3)*2)**2.
1053/16 + 24*sqrt(13)
Simplify 2*((sqrt(208) + 2*sqrt(208) + sqrt(208) + sqrt(208) + sqrt(208) - sqrt(208) - sqrt(208))/sqrt(4))/(1*(sqrt(4) - -1*sqrt(4))).
4*sqrt(13)
Simplify (sqrt(616)/sqrt(11))/sqrt(8)*-2 + sqrt(21)/(sqrt(18)/sqrt(6)) + (sqrt(175) + sqrt(175)*-1)**2.
-sqrt(7)
Simplify (6*-3*sqrt(176)*-5*-3)**2.
12830400
Simplify ((-2*sqrt(112))**2*-4 - sqrt(112)) + 1 + -5.
-1796 - 4*sqrt(7)
Simplify ((sqrt(12) + -1)*-6 + (sqrt(3) + 1 + sqrt(3) + sqrt(3) + -4 - sqrt(192)*-2))**2.
42*sqrt(3) + 156
Simplify (-2 + 3 + -2 + -3*sqrt(72) + sqrt(72))**2.
24*sqrt(2) + 289
Simplify ((0 + sqrt(672)/sqrt(6) - sqrt(42)/(sqrt(600)*-2)) + -2)**2.
-81*sqrt(7)/5 + 47527/400
Simplify ((sqrt(11) + 2 + sqrt(11) + -3 + sqrt(11) + 1*sqrt(99))*3*6)**2.
-3888*sqrt(11) + 128628
Simplify (-1 + 3 + (sqrt(891)*-3 - sqrt(891)) + 4 + sqrt(891)*-1 + -4)**2.
-180*sqrt(11) + 22279
Simplify sqrt(27)*2 + (-1*sqrt(432) + sqrt(432))**2 + (((sqrt(45)*-1)/sqrt(3))/sqrt(5))**2.
3 + 6*sqrt(3)
Simplify (4*sqrt(1280))/(sqrt(4)*-2*5)*-2.
32*sqrt(5)/5
Simplify ((0 + sqrt(363) - 4*(sqrt(3) + sqrt(15)/sqrt(5) - sqrt(3) - sqrt(3))) + -4)**2.
-88*sqrt(3) + 379
Simplify (sqrt(5) - (sqrt(80) - (sqrt(80) + sqrt(80)*-3))**2) + 0 - (sqrt(5) + sqrt(60)/(4*sqrt(12)) + -5)**2.
-12045/16 + 27*sqrt(5)/2
Simplify ((-1*sqrt(68) - sqrt(68) - (-1 + sqrt(2448))) + (sqrt(170) - sqrt(170)*2)/sqrt(10)*-5)**2.
-22*sqrt(17) + 2058
Simplify (6*sqrt(108)*2 + 6*(1 + sqrt(108)))**2*1*2.
2592*sqrt(3) + 70056
Simplify -5 + (5 + (sqrt(32) + sqrt(512) + -2)**2)*-1.
-814 + 80*sqrt(2)
Simplify 6*(-2*sqrt(28)/sqrt(4) + 5 + (sqrt(448)*2*2)**2).
-12*sqrt(7) + 43038
Simplify (-2*sqrt(2160))/(sqrt(9)/sqrt(3)*4).
-6*sqrt(5)
Simplify 1*(-1 + (sqrt(252) - -2*sqrt(252)) + (sqrt(252) + (sqrt(252) + -1)*-4)**2 - (sqrt(252)*-1 + 4 + 0)).
-120*sqrt(7) + 2279
Simplify ((sqrt(132) + -6*1*sqrt(132) - sqrt(132)) + sqrt(132) + sqrt(132)*-1*-3)/(3*2*sqrt(1452)).
-sqrt(11)/33
Simplify ((sqrt(200) + 2 - sqrt(200))**2 + 0 - (sqrt(200) + sqrt(200) + 2)**2*6) + 2.
-4818 - 480*sqrt(2)
Simplify ((sqrt(77) + -2*sqrt(77)*3 + sqrt(77) + 6*sqrt(77)*2)/(sqrt(110)/(sqrt(20)/sqrt(2)) - sqrt(99)*1) + -5)**2.
40*sqrt(7) + 137
Simplify (-6*(sqrt(209)*3*5 + sqrt(209) + sqrt(209)))/(sqrt(275)*2*2).
-51*sqrt(19)/10
Simplify ((sqrt(25) - 2*sqrt(2500) - -3*1*sqrt(25))/(-1*sqrt(80)))**2.
80
Simplify (-1*5*sqrt(540))/(sqrt(300)*3).
-sqrt(5)
Simplify ((1 + -1*(sqrt(3) + -3) + sqrt(3) + sqrt(3))*5)**2*1.
200*sqrt(3) + 475
Simplify (5 + 5*(((((sqrt(847) - (sqrt(847) + sqrt(847) + sqrt(847)*-2 + sqrt(847))) + sqrt(847))*2 - sqrt(847)) + sqrt(847) - sqrt(847)) + sqrt(847)) + 4)**2.
1980*sqrt(7) + 84781
Simplify (-5 + sqrt(1584) + 2)**2 + 0 + sqrt(66)/sqrt(6) + -2.
-71*sqrt(11) + 1591
Simplify (3*(((sqrt(68) - (2*sqrt(68)*-3 + sqrt(68) - sqrt(68) - sqrt(68))) + sqrt(68))/(sqrt(40)/(-2*sqrt(10))) + 3))**2.
-972*sqrt(17) + 49653
Simplify (6*2*sqrt(10)*-3)/(sqrt(12)/sqrt(24) + 2*sqrt(32)).
-72*sqrt(5)/17
Simplify (sqrt(36) - 1*sqrt(900) - sqrt(36))/((sqrt(300) - sqrt(300)*3)*-3).
-sqrt(3)/6
Simplify (-2*-2*(6*-3*sqrt(80) + sqrt(80)))**2.
369920
Simplify (sqrt(1296) - (sqrt(1296) + sqrt(1296)*-2) - ((sqrt(1936) + sqrt(1936)*-2 - sqrt(1936)) + sqrt(1936)))/((sqrt(40)*-2)/sqrt(5) - sqrt(8)*2*1).
-29*sqrt(2)/4
Simplify ((sqrt(637) + (sqrt(637) - (sqrt(637) - ((0 + sqrt(637))*-3 + sqrt(637)) - sqrt(637))))**2 - sqrt(637)) + -1*(sqrt(52)/sqrt(4)*-4 - sqrt(13)) + -5.
-2*sqrt(13) - 5
Simplify -2*(sqrt(1575)*1*-2 + (0 + sqrt(1575))*-6)**2.
-201600
Simplify ((-3*sqrt(325))**2 + 4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
.
3
Let t be (-3 + (-135)/(-12))/((-2)/(-32)). Suppose 128*o = t*o. Solve o = 2*f + 2*s + 2, 0 = -2*f + 3*f + 4*s + 16 for f.
4
Let m(s) = 4*s**2 - 35*s + 75. Let c be m(3). Solve c = 2*q, -3*k - 5*q + 6*q = 0 for k.
1
Let m be (16/(-12))/(2/(-21)). Suppose 0 = u + 206 - 373. Suppose -u*l - 40 = -175*l. Solve 3*s - l*k = -22, 2*s - 2*k + m = k for s.
-4
Suppose 0*h + 5*h - 30 = 0. Let v be (2 - h) + 1 + 3 + 3. Suppose -9 = -3*q - v*p, -q + 4*p + 13 = -0*p. Solve 3*o + 16 = q*g, 0 = -5*o + 5*g - 2*g for o.
3
Let u = -4259 - -4260. Solve 0 = l + u, 0 = 5*s - 0*s + 2*l + 27 for s.
-5
Suppose 0 = -l + 3*k + 12, 0 = 4*l + k - 3*k - 18. Suppose -652*x + 61*x = 197*x. Solve u = -0*u - l, x = -4*t - 3*u + 7 for t.
4
Let a be 785/195 - (-76)/(-2964). Solve 36*c + a*v + 29 = 31*c, c = 5*v for c.
-5
Let t(u) = 10*u + 73. Suppose 5*o + 40 = -0*h - 5*h, -4*h - 18 = 2*o. Let j be t(o). Let q = 4 + 1. Solve -j*f + g - q = -3*g, -3*g + 5 = -f for f.
1
Let d be 3*(3 + (-20)/15) - 0. Let k(o) = o**3 + 37*o**2 + 39*o + 112. Let w be k(-36). Solve d*s = -3*c + 1, 3*s + 0*c + 6 = -w*c for s.
2
Let b be ((-150)/(-15)*1)/2. Solve -g - 3*g = 4*z - 20, g = -4*z + b for z.
0
Suppose 3*y + 3*o - 15 = 0, -2*o = -4*y - 33 + 41. Solve -y*g = -5*i + 17, 28*g - 26*g - i = -9 for g.
-4
Let o(m) = m + 12. Let r be o(-6). Suppose -r*y - 2 = -7*y. Let v = 355 + -350. Solve -y*g + 2 = -4*i, -v*i + 0 - 1 = -4*g for g.
-1
Suppose 3*d - 3*f - 15 = 0, -421 + 411 = -2*d - 5*f. Solve d*b + 15 = -5*y, -3*b + y - 3*y - 6 = 0 for b.
0
Suppose 5*j - 7*w + 10*w = 1274, 3*j - 5*w = 744. Let n = -250 + j. Solve n*q = -g + 7*q + 23, -2*q = -4*g + 22 for g.
3
Suppose -63*r - 114*r + 1520 = -25*r. Solve 2*h - r + 18 = -k, -17 = 5*h + 4*k for h.
-5
Suppose -36*y + 25*y = -44. Suppose 11*z = 9*z + y. Suppose -5*h + 4*f = -10, -2*h - 4*f = -8 + 4. Solve h - 8 = z*b + 4*l, -12 = 4*b - l for b.
-3
Let o = 18332 - 18332. Solve o = 5*w - 43*h + 40*h + 17, 5*h + 21 = -4*w for w.
-4
Suppose -c - 268 = -4*a, -c = -0*a - 3*a + 264. Let v = c + 252. Solve n + 3 = v, -2*g - 2*g = 4*n + 28 for g.
-4
Let p(w) = -w**2 + 47*w + 931. Let q be p(62). Solve -4*a + 4 = 2*z, -3*a - 2*z + 3 = q for a.
2
Let x be 6/8 + (-26256)/192. Let t = 140 + x. Solve 2*i = 3*o - 5, -4*i + t*o - 2 = 2 for i.
2
Let x(v) = 12*v**2 + 31*v + 28. Let q be x(-11). Suppose 6*y - 1151 = -q. Solve -25 = -4*c + 3*h, -h - h + 2 = y*c for c.
4
Let g = -586 - -606. Let y be 2*190/g + -8. Solve 3*r - d + 2*d = y, 5*d - 22 = -4*r for r.
3
Let j = 25 + -45. Let v be (j/8)/(2/(-8)). Let l be 3 + (-7)/(0 - -7). Solve -3*y - c = 3*c - v, 0 = -5*y - l*c - 2 for y.
-2
Let u(a) = a**2 + a - 138. Let p be u(-13). Solve -o - 4*w = -11, 8*w - 3*w - p = 3*o for o.
-1
Suppose 14 = 61*o - 3158. Solve 0 = -4*t - 2*q + 4, o*t - 54*t - 14 = 5*q for t.
3
Let q(w) = -3*w**2 + 4. Let h(k) = -2*k**2 + k + 4. Let l(z) = 4*h(z) - 3*q(z). Let d be l(-2). Solve 4*c - 16 = d, -5*i + 5*c - 22 = 2*c for i.
-2
Let m(h) = -h**3 - 31*h**2 - 19*h - 13. Let d be m(-30). Let u = -334 - d. Solve n = -2*g + u, 0 = 4*n + 2*g - 4*g - 16 for n.
5
Let d = 30916 - 30916. Solve -2*l - h - 7 = d, -3 = 8*h - 7*h for l.
-2
Suppose -5*c + 3*d = 933, 3*d - 2*d + 760 = -4*c. Let j = -96 - c. Suppose -j = q - 97. Solve 15 = 2*f + f + 5*w, 0 = q*f + 4*w - 20 for f.
5
Let o(h) = 2*h**2 + 843*h - 1687. Let d be o(2). Solve 4*c + n = -10, 8*c - d*c = n - 5 for c.
-3
Let g(y) = -121*y + 3996. Let q be g(33). Solve 6*a - 2*a + 40 = 5*c, -a + q*c - 17 = 0 for a.
-5
Let f(c) = 4*c**2 - 2*c. Let r be f(1). Let o be 231/(-1)*-1*r/6. Let w = o + -73. Solve 4*j - w = -3*y - y, 5*j - 17 = -2*y for j.
5
Suppose -15 = -5*j + k, 4*k = 4*j + 3*k - 13. Let u be 135/(2 - 1/j). Let p = -86 + u. Solve -o + 3*y + p = -1, 4*y = 4*o - 4 for o.
-1
Let a(d) = 472*d - 3301. Let l be a(7). Solve 0 = -5*i + 5, 9*g + i - l = 8*g for g.
2
Let f = 272 + -216. Suppose f*v - 51*v - 10 = 0. Suppose -2 = -s + 3. Solve z - s*m - 16 = 0, -4*z + 0*m = v*m + 24 for z.
-4
Let n = -4512 - -4516. Solve -8*j - 4*y = -n*j + 12, 5*j = -2*y - 9 for j.
-1
Let o(w) be the second derivative of 2*w**4/3 - 22*w**3/3 - w**2 - 2*w + 29. Let s be o(6). Solve -3*t + 3*g = -6, 2*t - g = -5*g + s for t.
5
Let b = 59 + -55. Suppose -2*n - 18 = -5*j, 0 = j - 0*j - 2*n - 2. Solve 4*q = a + b, -j*a - a - 20 = -4*q for q.
0
Let d(h) = -h**3 + 13*h**2 - 3*h + 41. Let c be d(13). Solve -c*p = 3*i + 2, -43*i - 6 = -40*i for p.
2
Suppose -m + 3 - 1 = 0. Suppose m*n - 35 = -5*n. Suppose -5*g - 2*b + 74 = 0, -4*g + 5*b - 3*b = -70. Solve 4 = 4*i - g, 20 = n*v + i for v.
3
Let r(f) = 964*f - 5779. Let y be r(6). Solve -11*h - 2*m + y = -14*h, m - 4 = 2*h for h.
-3
Let d(i) = -i**3 - i**2 - i. Let g be d(0). Suppose -3*k = -g*k - 42. Suppose -4 = 2*q - 14. Solve z = 3*s - q*s + 13, 2*z = -s + k for z.
5
Let c be (-1 + 2/(-6))*-3. Let k(x) = -x**2 - 4*x - 2. Let h be k(-2). Suppose v + 1 - 21 = -f, -46 = -h*f - 4*v. Solve 4*q + z = 17, -2*z - f = -3*q + c for q.
5
Let l = -34 - -4. Let p = -99 - l. Let u = p + 71. Solve 4*s + 12 = u*w - 18, 0 = s + w for s.
-5
Let u = -35606 - -35611. Solve -11*s - 2*x - 15 = -10*s, x = -u for s.
-5
Suppose -2*c + 15 = 4*n - 13, 0 = -c + 4. Suppose -1169*h - 12 = -12. Solve n*d + 4*m - m - 3 = h, -26 = -2*d + 5*m for d.
3
Let j = 16 + -11. Suppose -3*w = -8 + 2, -70 = -j*h - 5*w. Suppose -6*u + 5*u = -5. Solve 2*z + 5*x + 2 = -4, -h = -u*z + x for z.
2
Let a be 6/1 + 0 + -2. Let l(f) = -6 + 3 - 9 + 10*f - 11*f. Let c be l(-12). Solve -2*o + 10 = -a*j, j + 3*o + c = 15 for j.
0
Suppose 2*t - 181 = 3*j + 214, 4*t - 805 = j. Let n = t - 199. Solve 4*i = 3*s + n + 3, 5*s - i - 7 = 0 for s.
2
Let o = -3647 - -3653. Solve o*b = 10*b + v - 15, 0 = -5*b + 2*v + 9 for b.
3
Let j = -14027 - -14029. Solve -3 = -5*u + 4*a, 4*u - 4 = j*a + 2 for u.
3
Let h(b) = b**3 - 17*b**2 + b - 6. Let g be h(17). Let v be 36/15*20/8. Let y be 10/v + 8/(-12). Solve t = 4*j + g, -2*t - y = 4*j - 5*t for j.
-4
Let j = 26864 + -26861. Solve 0 = -5*c + b + j, -244*c + b = -242*c - 3 for c.
0
Suppose -y + 18 = 5*y. Let z be (y + -4)*(1 - 84). Let p = z - 73. Solve -i + 6*i - 16 = -3*h, -2*i - 3*h + p = 0 for i.
2
Suppose k = 6*k - 20. Suppose 2*h - 1 = 6*c - 3*c, 0 = -3*h + k*c + 3. Solve -5*i = -h*b, 4*i + 40 = -2*b - 2*b for i.
-5
Suppose -16*l - 448 = -20*l. Suppose 17*u - 9*u + l = 0. Let x = u + 16. Solve -5*d - x*w = 28, 2*d - 5*d = -4*w - 4 for d.
-4
Let v = -378 - -354. Let x be 8/6*(-36)/v + 2. Solve 5*s + 3*j - x = 4, 2*s + 1 = 3*j for s.
1
Let c(m) = -2*m - 19. Let i be c(-23). Let q = i - 28. Let b(x) = -6*x - 3. Let n be b(q). Solve -n*a + 3*s + 5 = -4*a, -13 = -3*a + 5*s for a.
1
Let p be (8/(-2))/(-4 - (-2 + -1)). Let n = -6 - -10. Let j(r) = 48*r - 24. Let u be j(1). Solve f - u = n*i + 5*f, -2*i = p*f + 18 for i.
-3
Let b(a) = -a**3 - 6*a**2 - 2*a - 9. Let w be b(-6). Suppose -s - 5 = -46. Let n = s + -32. Solve -3*k + 0*v + w*v - n = 0, 5*k + 13 = 4*v for k.
-1
Suppose 106 = -8*h + 6*h. Suppose -11*q - 724 = -119. Let l = h - q. Solve t - 13 = l*t + 5*f, 0 = 2*f + 6 for t.
2
Let h be (2/(-3))/(118/(-708))*(-25)/(-5). Solve -3*w - 4 = 5*v - h, 4*v = 3*w + 29 for v.
5
Let r be 1370/(-8)*(-3 - (-2 + 3)). Let c = -685 + r. Solve c*l - 5*b = 3*l - 6, -2 = -l - 3*b for l.
2
Let y = -67 + 70. Suppose 25*p - 471 = 204. Solve 4*o = -y*x + p, 0 = -3*o - 0*x - 2*x + 19 for o.
3
Let i be -1 + 3 + -3 + 3. Let h be 4/(-10)*240/8 - 0. Let v = h + 15. Solve 7 = i*a - v*d, -3*a = 2*d + 30 - 8 for a.
-4
Suppose -4*n = 15*n + 13*n. Suppose 7*s - 131 + 110 = n. Solve 3*c + 15 = s*r, -4*r + 3*r - 25 = 5*c for r.
0
Let c = -919 - -480. Let x = c + 442. Solve 5*u = 2*n - 1, 2*u + 5 = x*n - 2 for u.
1
Let n be (-2)/(-12) + 500/24. Suppose -68*z + 16 = -120. Solve 0 = 4*r - o + n, 5*r - z = 5*o - 32 for r.
-5
Suppose 0 = 10*n - 25 - 25. Suppose -4*s + 16 + 0 = n*o, 8 = 2*s + 4*o. Solve w - s*c - c + 10 = 0, 4*c + 21 = -5*w for w.
-5
Suppose 3*a = 5*p - 22, 18*p - 3*a - 16 = 16*p. Suppose p*q + 3*b = -3, -b = -5*q + 26 + 9. Solve 0 = 3*y - 4*s + 1 - 22, -y + q = -s for y.
3
Let m = 7168 + -7163. Solve 0 = -m*z + 4*p - 33, 0*z - 2*z + 3*p = 16 for z.
-5
Let w(x) = -3*x**2 + 15*x + 3. Let f be w(5). Suppose -3*t + 49 = -3*u + 4*u, -2*t + 51 = -f*u. Solve -3*g + t = 2
|
{
"pile_set_name": "DM Mathematics"
}
|
))/o)/o)/(o*o**(12/7)*o)*(o**(1/7))**(1/3) assuming o is positive.
o**(1/3)
Simplify n/n**(-19)*n*n*n*n**(-17)*n*n**13*n**(1/18)*n assuming n is positive.
n**(379/18)
Simplify (d**18)**(-29/2)*d**31/(((d/d**29)/d*d)/d) assuming d is positive.
d**(-201)
Simplify c**(-8/5)*c/(((c*c**19)/c)/c*c)*(c*c/(c/(c*c/c**(-4))))/c**(-3) assuming c is positive.
c**(-48/5)
Simplify ((m**3/((m**6/m)/m))/(m**8*m**4*m))**(3/16) assuming m is positive.
m**(-21/8)
Simplify (k**(1/2)*k)**(-22)/((k**5/k)/(k/(k**(-8)*k*k))) assuming k is positive.
k**(-30)
Simplify (((k*k**(14/5))/k)/k**(-7))/((k**(5/4)/k*k)/k)**25 assuming k is positive.
k**(71/20)
Simplify (i**(2/21))**(-5/19)*(i**(-24)/i)**(-48) assuming i is positive.
i**(478790/399)
Simplify (p**(-2/5))**(-10/11)/((p/(p/p**(-2/35))*p)/(p**9/p*p)) assuming p is positive.
p**(3242/385)
Simplify (u*u**(-2/69)*(u*u**22/u)/u)**(1/78) assuming u is positive.
u**(758/2691)
Simplify ((u*u**(1/5))/u**0*u*u**(-2)*u*u**(-4/5)/u*u)**(-16) assuming u is positive.
u**(-32/5)
Simplify (q**(-7/2))**14/(q**(1/13)*q**(-7/3)) assuming q is positive.
q**(-1823/39)
Simplify (d**(7/3)*d**4/d*d*d*d**(-1/4)*d*d*d*(d*d/d**(5/3)*d)/d)**(4/5) assuming d is positive.
d**(25/3)
Simplify (p*p**2)**(-46)*((p/p**(2/21))/p*p)/p**5 assuming p is positive.
p**(-2984/21)
Simplify (b*b**(3/7))/(b**4/b)*(((b/((b*b*b**14)/b))/b)/b)/(b*b**0) assuming b is positive.
b**(-130/7)
Simplify ((y**(-4/7)*y)/y)**43*y*y**(2/17)/y*y*y/y**4 assuming y is positive.
y**(-3148/119)
Simplify (((f/(f/f**0))/f**(-3))**(-8/5))**49 assuming f is positive.
f**(-1176/5)
Simplify (r**(-7/4))**17/(r**(1/4)*(r**11*r)/r*r) assuming r is positive.
r**(-42)
Simplify a**(3/4)/a*a*a**11*a*a**(2/7)/a*a**(2/11) assuming a is positive.
a**(3763/308)
Simplify ((o*o/o**(-33)*o)/o**(-10))**29 assuming o is positive.
o**1334
Simplify z**(-10/9)*z*z**(4/5)*((z/(z*z**(3/8)))/z)**3 assuming z is positive.
z**(-1237/360)
Simplify (q**(-2/9)*q**(-1))/(q**(4/3)*q)**(-1/2) assuming q is positive.
q**(-1/18)
Simplify (q**(-2/17)*q**(-14/9))**(-8/3) assuming q is positive.
q**(2048/459)
Simplify ((h**0/h)**(-9)*(h**(-2)/h)/h**(1/4))**(-48) assuming h is positive.
h**(-276)
Simplify i*i/i**(-2)*i*i/(((i/i**(-14/5))/i)/i)*(i/i**(5/8))/(i*(i/i**(9/4))/i) assuming i is positive.
i**(233/40)
Simplify (z/z**5)/z**(-2/25)*(z*z*z*z**(1/13)*z)/z**(-6/11) assuming z is positive.
z**(2511/3575)
Simplify ((t*t*t**(-5)/t)/(t*t*t**7)*(t*t**(6/7))/(((t/t**(-6/5))/t)/t))**(-1/3) assuming t is positive.
t**(397/105)
Simplify (((x**(4/13)/x*x)/(x*x/x**(8/3)))**25)**(-33) assuming x is positive.
x**(-10450/13)
Simplify (((h**(-11)/h)/(h*h/h**(6/5)))**47)**(-18) assuming h is positive.
h**(54144/5)
Simplify ((g**3*g)/g*g**(1/4)*((g*g**7)/g)/g*g*g/(g/g**(1/6))*g)**(2/13) assuming g is positive.
g**(137/78)
Simplify u**(3/7)*u*u**(1/13)*(u*u*u**15*u)/u**(1/2) assuming u is positive.
u**(3459/182)
Simplify (((n/(n**(-2)/n))**(-2/47))**(-1/46))**(-2/55) assuming n is positive.
n**(-8/59455)
Simplify (x/((x**(3/7)*x)/x))/x**(22/5)*(x**(5/6)*x)**(-14) assuming x is positive.
x**(-3097/105)
Simplify w**3/((w/w**(2/55))/w)*(w**(-1/4))**50 assuming w is positive.
w**(-1041/110)
Simplify (h/(h/(h*h**(-2/7)*h))*h**(2/11)*(h*h*h**3*h)/(h/(h*h*h/h**(2/9))))**(2/3) assuming h is positive.
h**(13408/2079)
Simplify (c/c**18)/((c**15*c)/c)*(c/c**(11/2))/c**(-1/3) assuming c is positive.
c**(-217/6)
Simplify ((f*f**2)**(-6))**14 assuming f is positive.
f**(-252)
Simplify ((o**5*o**(6/7))**(7/4))**(-42) assuming o is positive.
o**(-861/2)
Simplify ((i*i*i/((i**0/i)/i)*i)**(-1/11)*i/(i**(5/6)*i)*i*i*i**1*i*i)**(2/17) assuming i is positive.
i**(239/561)
Simplify ((q**0)**(-10)/((q**(-1/4)*q*q)/q**(-1/4)))**(-21) assuming q is positive.
q**42
Simplify (y**(-1/30)*y*(y/(y/((y*y/y**(-4/5))/y)))/y*y)/(y*y/y**(-8)*y*y**(-3/10)) assuming y is positive.
y**(-119/15)
Simplify (k**(-2)*k*k*(k*k**(-9))/k*k*k**(-4)*(k/(k**(-3)/k)*k)/k)**(7/3) assuming k is positive.
k**(-49/3)
Simplify (((h**10*h)/(h*h**(-20)/h))**(-1/2))**(-16) assuming h is positive.
h**248
Simplify (((h*h**(-3/7)*h)/h)**(-24)/((h*h**6)/(h**(-9)*h)))**(4/11) assuming h is positive.
h**(-804/77)
Simplify ((x**(-5)/x*x/x**(-3/5))**40)**1 assuming x is positive.
x**(-176)
Simplify ((j*j**(-1)*j)**(-44)*j/((j/((j/(j*j/(j*j**(1/3)/j)))/j))/j*j)*j**(1/3))**(1/14) assuming j is positive.
j**(-68/21)
Simplify s*s**(-8)*s**11*(s**(-1))**(19/2) assuming s is positive.
s**(-11/2)
Simplify (r*r**3*r/(r**(-1/46)*r))/((r**(-13)/r)/r)**(-49) assuming r is positive.
r**(-33625/46)
Simplify j**(6/7)/j*j**(-10)*(j/j**11)/(j**(-2/31)/j) assuming j is positive.
j**(-4140/217)
Simplify ((q*q**(-2)*q)/((q/q**(-2/11))/q))/(q/(((q/(q*q**0*q*q))/q)/q)*q*q)**(2/71) assuming q is positive.
q**(-296/781)
Simplify c**3*c*c*c**(1/5)*(c/c**(1/9))**(20/9) assuming c is positive.
c**(2906/405)
Simplify (q/(q/((q/(q/(q**(-1/5)*q)*q))/q)*q)*q*q/(q*q*q/(q*q*q**(5/4))*q))/(q**16)**43 assuming q is positive.
q**(-13779/20)
Simplify (((k/k**(-1))/k*k)/k)**(-1/28)/(k**(-1/3))**(5/7) assuming k is positive.
k**(17/84)
Simplify ((w*w**(2/11)*w*w**(1/4))/(w**(-10/9)/w*w**(-2/5)))**(-9) assuming w is positive.
w**(-9787/220)
Simplify ((j/j**(-6/13))**(-28))**40 assuming j is positive.
j**(-21280/13)
Simplify (n*n**(-4))**(7/2)/((n*n*n*n*n**(-12)/n)/n*n)**(1/29) assuming n is positive.
n**(-591/58)
Simplify (g/(g**(7/3)*g)*g)**(3/7)*g/(g*g**(-9/4)*g)*g*g**(-2/7) assuming g is positive.
g**(39/28)
Simplify ((o*o**(-5)/o*o*o*o*(o/(o**(-5)*o))/o)/(o**2*o**(-2)))**(11/9) assuming o is positive.
o**(22/9)
Simplify (j/(j**(-2/57)/j)*(j/(((j/(j/j**(-9/4))*j)/j)/j))/j)**50 assuming j is positive.
j**(30125/114)
Simplify ((u/u**(3/5)*u**3)/(u**4*u*u**4))**(1/12) assuming u is positive.
u**(-7/15)
Simplify (y**(-3/7)/y)**(-17/5)*(y/y**6)/(y/y**(-12)) assuming y is positive.
y**(-92/7)
Simplify (((w**(1/8)*w)/(w**6/w))/(w**(-3/4)*w**(-5)*w))**(5/8) assuming w is positive.
w**(35/64)
Simplify (a**(-29)*a**(2/17))/(a**24*a*a*a/(a/(a**(5/9)/a*a))*a) assuming a is positive.
a**(-8635/153)
Simplify (u**(5/13)/(u*u**(-22)*u*u))**(-44) assuming u is positive.
u**(-11088/13)
Simplify ((y*y/(y**12/y)*y)/y)**5/(y**(-9/4)/(y/y**18)) assuming y is positive.
y**(-239/4)
Simplify l**4/l*l/((((l*l*l**(-6/7))/l)/l)/l)*(l/l**(-3))/(l*l**(-11)) assuming l is positive.
l**(139/7)
Simplify (g**(-11)*g/g**(-12))/(g/(g*g**(1/2)))**(2/59) assuming g is positive.
g**(119/59)
Simplify (h**(-3/8))**(7/6)/(h/(h/h**18*h*h)*h**(2/129)) assuming h is positive.
h**(-33959/2064)
Simplify (m**(-11)*m)**34/(m**2)**(2/61) assuming m is positive.
m**(-20744/61)
Simplify (f/(f*f*f/f**2)*f/(f**16*f))/(f/((f*f**(-21)*f)/f)*((f/f**(2/3))/f)/f) assuming f is positive.
f**(-106/3)
Simplify ((k/(k/k**2))**17/(k/(k/(k*k/(k**(-3/2)/k*k*k))))**(-3/4))**(1/25) assuming k is positive.
k**(287/200)
Simplify ((w/((w**13/w)/w))/w)/(w*w**(-10))*((w**23/w*w)/w)**33 assuming w is positive.
w**724
Simplify ((s**(1/21))**(-5/8))**(-16/3) assuming s is positive.
s**(10/63)
Simplify (j*j**23/j*j*j**(-1/8)*j*j)/(j**(-1/2)*j/j**(-2/15)) assuming j is positive.
j**(3029/120)
Simplify ((g*g**(-2)*g*g**(-3))**(-44))**(-7) assuming g is positive.
g**(-924)
Simplify (z/((z/(z*z/(z**(-3)*z)))/z))**35*z**(-2/9)/z**2 assuming z is positive.
z**(1555/9)
Simplify ((n/(n**(2/5)/n)*n/n**(-1))/(n**(2/3))**(-28))**(-2/83) assuming n is positive.
n**(-668/1245)
Simplify (v*v/v**2)**49*((v*v**(-1/4))/v)**17 assuming v is positive.
v**(-17/4)
Simplify ((l**(2/3))**(-4/5)*((l/((l*l*l**3)/l))/l)/l*l**(-3))**(-2/3) assuming l is positive.
l**(256/45)
Simplify (c**8*c**(-2/3)/c*c)/(c*c**(-2/3)*c*(c/((c/c**(-23))/c))/c) assuming c is positive.
c**29
Simplify ((((w*w**(2/9)/w)/w)/w)**(-5/2))**(-43) assuming w is positive.
w**(-1720/9)
Simplify (((p/(p/(p**(1/6)/p)*p))/p*p**(-2/9)*p*p)/((p**(2/11)/p)/((p*p**(-2/3))/p)))**38 assuming p is positive.
p**(-3401/99)
Simplify (l**18*l*l**(-1/6))/(l/(l*(l/((l/(l*l**(4/5)*l))/l)*l)/l)*l**(-2/23)) assuming l is positive.
l**(15677/690)
Simplify ((s/(s*s*s**(1/8)))/s)**(-4/43)/(s**(2/13)/s)**(3/16) assuming s is positive.
s**(3187/8944)
Simplify (r**(-2))**(5/7)/((r*(((r*r**(-16))/r)/r)/r)/r*r*r*r*r**(6/25)*r) assuming r is positive.
r**(2158/175)
Simplify (((o*(o/((o
|
{
"pile_set_name": "DM Mathematics"
}
|
be r(i). What is the units digit of 0 + (-2)/(-3) - t/6?
4
Suppose 8*j = 6 + 2. What is the thousands digit of (1 + j)*9149/14?
1
Let d = 26036 + -17919. What is the hundreds digit of d?
1
Let h(d) = 2*d**2 + 9*d - 9. Let o be ((-8)/(-5)*-1)/(2/10). Let u be h(o). Suppose u - 209 = -2*w. What is the units digit of w?
1
Suppose -3*l - 5*d + 30 = 0, d + 15 = -2*l + 42. Let r = 198 - l. What is the tens digit of r?
8
Suppose 2138 = 4*l + 4*p - 438, -1944 = -3*l + p. Let f = 1471 - l. What is the units digit of f?
4
Suppose -n - 5*g + 21450 = -2*g, 2*n - 42909 = 3*g. What is the ten thousands digit of n?
2
Let q = 317 + -312. Suppose -4*v - q*v + 6642 = 0. What is the tens digit of v?
3
Let o(n) = n**3 + 23*n**2 - 22*n - 39. Let k be o(-21). Let c = k + -877. Suppose 0 = -2*l + c + 150. What is the tens digit of l?
8
Let b be (-48)/(-18) - (-1)/3. Suppose 3 + 3 = -2*p, 0 = 2*m + 3*p + 5. Suppose m*j + 0*j = 3*a + 136, -5*j + 361 = b*a. What is the units digit of j?
1
Suppose -6*v + 39 - 3 = 0. Suppose -4440 = v*h + 6*h. Let w = h - -520. What is the tens digit of w?
5
Let t be 2/8*1 + (-486)/(-72). Suppose -t*j + 1326 = 6*j. What is the tens digit of j?
0
Suppose x = -2*n + 7, -7*n - 5*x - 4 = -10*n. Suppose -n*i + 4*q + 69 = 7*q, 0 = -5*i + q + 127. What is the units digit of i?
5
Let n(i) = -i**3 + 25*i**2 + 22*i + 8. Let r = 83 + -57. Let w be n(r). Let f = -86 - w. What is the tens digit of f?
1
Let w(x) = -7*x - 18 + 146*x**2 - 147*x**2 - 2*x. Let h be w(-5). Suppose -c = 2*m - 96, -c + 472 = 4*c + h*m. What is the tens digit of c?
9
Let t(n) = n**2 - 7*n + 3. Let c be t(6). Let d(a) = a**2 + 42*a + 94. Let q be d(-32). What is the tens digit of q/c + (-18)/(-27)?
7
Suppose 1336*r - 1338*r = -34224. What is the ten thousands digit of r?
1
Suppose -2*u + 983 + 1947 = 0. Suppose -13*c = -8*c - u. Suppose -4*j + 2*b + c = -b, 3*b = -j + 92. What is the tens digit of j?
7
Suppose -10 = 5*j - 10. What is the hundreds digit of 1540/4 - (j + 3)?
3
Suppose 147*k - 64369 = 144*k + 4*z, 3*k - 64374 = 3*z. What is the tens digit of k?
6
Let b be 3 - (228/(-108) + 2/18). Suppose 725 = 9*c - b*c + 3*u, 5*c - 889 = 2*u. What is the tens digit of c?
7
Let f be (-3)/(-2)*(-136)/(-6). Let m(q) = -58*q - 723. Let h be m(-13). Suppose 357 = f*v - h*v. What is the units digit of v?
9
Let p(i) = i**2 - i. Let x(v) = -5*v**2 - 8*v + 25. Let u(o) = -6*p(o) - x(o). Let d be u(11). What is the units digit of 407/2 - ((-52)/d - -5)?
5
Suppose 5*m - 306 = 2*m. Let q = -29 + m. Let h = 138 - q. What is the units digit of h?
5
Suppose -2*h = -3*s, 0*h + 3*s = -3*h. Suppose h*c = -18*c + 3564. What is the tens digit of c?
9
Suppose 78220 = 5*n - 3*t - 18429, 2*n + 4*t = 38618. What is the hundreds digit of n?
3
Let k = 332 - 323. What is the units digit of 2/k - (-712)/36?
0
Suppose -14*u = -8*u - 126. Suppose 3*i + 906 = 3*c, u*c - 18*c + 5*i = 938. What is the tens digit of c?
0
Let g = 1081 + -726. Suppose -2*u + 6*u = 3*i - 615, 5*u = 4*i - 768. Let c = g + u. What is the tens digit of c?
9
Let c = -50 - -45. Let b(o) = -o**3 - 3*o**2 + 13*o + 21. Let x be b(c). Suppose x*z = 8*z - 458. What is the units digit of z?
9
Let u = 390 + -344. What is the units digit of (-35)/(-2) - 23/u?
7
Suppose 160 = 17*p - 231. Suppose s + s = 2*q + 6, 4*q = 5*s - 20. Let r = s + p. What is the units digit of r?
1
What is the units digit of 4769425/426 + (-2)/(-12)?
6
Suppose -10*x = 5*v - 18*x - 99363, -2*v = 4*x - 39774. What is the hundreds digit of v?
8
Let l = -25 - -37. Let x be (12 - l)*((-1)/2)/1. Suppose x = -6*o + 3*o + 219. What is the tens digit of o?
7
Let y(x) = -3*x**2 + x + 8. Let m be ((20/3)/(-2))/(58/(-87)). Let u(b) = -4*b**2 + 8. Let r(v) = m*y(v) - 4*u(v). What is the units digit of r(0)?
8
Let x(k) = -k**3 + 2*k**2 + k + 1. Let n(t) = 5*t**3 + 11*t**2 + 7*t - 5. Let d(v) = -n(v) - 4*x(v). What is the tens digit of d(-19)?
1
What is the hundreds digit of (-11 - (-24 + 14)) + (-114420)/(-3)?
1
Let y = 43 + -46. Let f(a) = -47*a - 9. Let w be f(y). Let m = -79 + w. What is the units digit of m?
3
Let n = 35 - 28. Suppose -3*v - o = -13, -v = 3*o - 0 - 7. Suppose -r + v = -n. What is the tens digit of r?
1
Suppose -4 = -2*b, 8 = -z - 5*b - 3. What is the hundreds digit of (-3)/(z/308)*16?
7
Suppose 3*b + 4*b - 35 = 0. Suppose b*m = -8*m + 5096. What is the hundreds digit of m?
3
Let t be (-339)/(-15) + 7/5. Suppose 4*s - 2*d - 176 = 0, -t = -3*s + 2*d + 108. What is the tens digit of s?
4
Suppose -29*s + 39*s = 44*s - 111350. What is the tens digit of s?
7
Let n(z) = -25 + 16*z**2 + 10*z**2 + 28 - 101*z. What is the units digit of n(4)?
5
Let u be 3/((-3)/4)*6/(-12). Suppose -3*b + u = -13. Suppose -s - 164 = -b*s. What is the units digit of s?
1
Let j(s) = -s**3 - 14*s**2 - 12*s + 12. Let k be j(-13). Let h = k - 5. Let o(z) = 2*z**3 + 13*z**2 - 4*z - 2. What is the units digit of o(h)?
8
Let s = 645 + -1089. Let y = s + 982. What is the tens digit of y?
3
Suppose 0 = -23*m + 56*m - 10*m - 662607. What is the ten thousands digit of m?
2
Suppose 17 - 9 = 2*r. Suppose 7*a - r*a - 45 = 0. Let v(x) = -2*x**2 + 36*x - 16. What is the tens digit of v(a)?
7
Let j(o) = o**3 + 27*o**2 - 30*o - 59. Let z be j(-28). What is the tens digit of ((-4)/(-6)*z)/((-8)/1728)?
3
Suppose 0 = u + 3*x - 76909, 61104 = u - 2*x - 15795. What is the units digit of u?
3
Let y(a) be the third derivative of a**4/6 + 42*a**2 + a. What is the units digit of y(6)?
4
Suppose 154*w + 3008411 = 250*w - 1224613. What is the tens digit of w?
9
What is the hundreds digit of 69882/8*(-9)/(108/(-16))?
6
Let n(x) = 2*x**3 + 30*x**2 - 154*x + 11. What is the thousands digit of n(10)?
3
Let x(a) = 9*a + 510. Let c(o) = 7*o + 509. Let y(j) = 4*c(j) - 3*x(j). What is the hundreds digit of y(0)?
5
Suppose -2*t = 1929 - 7157. Suppose -12*g + 1598 = -t. What is the units digit of g?
1
Let s = -36 + 6. Let y = s + 33. Suppose 164 = -2*b + 3*b - y*i, 830 = 5*b - 5*i. What is the hundreds digit of b?
1
Suppose 3*k - 8*k + 50 = 0. Let a be k/(1 + (-2 - -3)). Suppose 2*n = u - 6*u + 300, n + 285 = a*u. What is the units digit of u?
8
Suppose 4*d = 232*f - 236*f + 25492, 6367 = f - d. What is the hundreds digit of f?
3
Suppose -2024640 = 445*s - 482*s. What is the ten thousands digit of s?
5
Suppose -6*s + 8*s - 48618 = -7*s. What is the tens digit of s?
0
What is the hundreds digit of 123195/10*8/12?
2
Suppose -52 = -8*y - 36, 0 = -4*r - y + 9674. What is the hundreds digit of r?
4
Let i = 21717 - -29813. What is the tens digit of i?
3
Let q(r) = 63*r - 5. Let l be (-6)/((-36)/21)*12/21. Suppose 0 = a + 3*d + 2*d - 28, -3*a + l*d = 1. What is the units digit of q(a)?
4
What is the units digit of (-17 + 16)/(26382/5277 - 5)?
9
What is the hundreds digit of (48/15)/((-6)/10*(-32)/26256)?
3
Suppose -3427 = 16*k - 12931. What is the tens digit of k?
9
Let u(i) = 59*i + 3. Suppose -5*y = -0*y + 35. Let z(l) = 2*l**2 + 12*l - 13. Let k be z(y). What is the units digit of u(k)?
2
Let w = -19472 + 33313. What is the ten thousands digit of w?
1
Suppose m = 4*m - 3. Let s(p) = -30*p**2 - 4*p - 3. Let n be s(3). What is the hundreds digit of (-1 - 8/m)/(19/n)?
1
Let a(b) = 6*b**2 - 27*b - 295. What is the units digit of a(-10)?
5
Let r(f) = -65*f + 203. Let x be r(-13). Suppose 5*z - x = -3*n, -18*z = 5*n - 19*z - 1756. What is the hundreds digit of n?
3
Suppose 3*c - 42 = -3*g, -5*g + 4*c = 8*c - 75. What is the tens digit of (-238)/(-3)*(22 - g)?
3
Let y = 218 + -222. What is the units digit of (-66)/(-33)*(-922)/y?
1
Let d be (0 + -1)*-4*(-2748)/(-8). Suppose -d - 99 = -3*j. What is the tens digit of j?
9
Suppose -39315 = -20*k - 8075. What is the hundreds digit of k?
5
Let s be 9932/(-5) + 26/65. Let p = -1249 - s. What is the tens digit of p?
3
Suppose -13*j - 58*j + 477555 = 22*j. What is the tens digit of j?
3
Suppose -846 = 9*v + 144. Let y be 7/(-1)*(3 + -2). Let x = y - v. What is the units digit of x?
3
Let r(p) = -p**2 - 16*p + 25. Let w be r(-17). Let s(u) = -4*u**3 + 5*u**3 + u + u - 3*u**2 - 5*u**2 + 13. What is the units digit of s(w)?
9
Let y(r) = 4*r**3 + 3*r**2 + 2*r - 4. Let b be y(1). Let v(p) = 279*p - 6. What is the hundreds digit of v(b)?
3
Let t(d) = -106*d + 28. Let i be -7 + -2 + (-2 - -5). What
|
{
"pile_set_name": "DM Mathematics"
}
|
rs of b?
3, 23
Let n be 112/10*(-180)/(-9). Suppose 2*t - n = 2*x - 46, -3*t + 266 = -2*x. What are the prime factors of t?
2, 11
Let k(u) = -1. Let a(d) = -3*d + 2. Let s(q) = a(q) + 6*k(q). Let j be s(-3). Suppose -2*t - g - 3*g - 12 = 0, 0 = -j*g - 20. What are the prime factors of t?
2
Suppose 4*c = p - 1175, 0 = -2*c - 0 - 10. What are the prime factors of p?
3, 5, 7, 11
What are the prime factors of -8 + ((-34524)/(-168))/(3/8)?
2, 3, 5
Let h(b) = -b + 15. Let s be h(11). Let c be s/30 - 928/(-15). Suppose 3*m - c - 19 = 0. What are the prime factors of m?
3
Suppose 0 = 6*r - 2*r + 16. Let c be r/(-28) - (-26)/14. What are the prime factors of (c - -1)/((-5)/(-45))?
3
Suppose 3*z - 1 = -2*g + 3*g, 2*g - 2*z = 2. Let a(m) = -19 + 44 - 14 + m**g + 0*m**2. List the prime factors of a(0).
11
Suppose 13*k = -4936 + 31092. List the prime factors of k.
2, 503
What are the prime factors of (-1 - -3)/(6/2445)?
5, 163
Suppose -8*a - 222 = -2*a. Let r = 15 - a. List the prime factors of r.
2, 13
Let m(o) = -o**3 - 5*o**2 - 3*o + 4. Let i be m(-4). Let y = 92 - 64. Let v = i + y. List the prime factors of v.
2, 7
Let q(d) = -d**3 + 21*d**2 - 39*d + 12. List the prime factors of q(17).
5, 101
List the prime factors of 30/35 - (-38246)/182.
211
Suppose -2*l + n = 5*n - 1172, -2*l = -4*n - 1140. What are the prime factors of l?
2, 17
Let j = 78 + -76. Suppose -j*w - 2*c = -360, -4*c + 544 = 3*w - 2*c. What are the prime factors of w?
2, 23
List the prime factors of (-44361)/(-53) - 11/1.
2, 7, 59
Suppose 75064 - 1936 = 33*x. List the prime factors of x.
2, 277
Let x(j) = j**3 - j**2 + 5*j + 6. Let m be x(6). Let d = m - 135. What are the prime factors of d?
3
Suppose -3*f = -4*o - 1668, 1117 = -0*f + 2*f - o. Suppose -7*t + 903 + f = 0. What are the prime factors of t?
11, 19
Suppose 0 = -3*g - 13 + 88. Let h(j) = j**2 + 21*j + 24. Let u be h(-20). Suppose g + 3 = u*v. What are the prime factors of v?
7
List the prime factors of 8/(-6)*927/(-6).
2, 103
Suppose 0 = -0*k + k + 2*r + 10, 3*r - 11 = 5*k. What are the prime factors of 2/k + (-462)/(-28)?
2
Suppose 6 = -6*b + 3*b. Let x be -7 + (-2)/(-4)*b. Let a(p) = -p**2 - 9*p + 4. What are the prime factors of a(x)?
2, 3
Suppose v + 16 = 5*v. Let w be ((-8)/3)/(v/(-6)). Suppose -w*j + 8 + 0 = 0. List the prime factors of j.
2
Let k = -1736 + 2007. What are the prime factors of k?
271
Suppose -x = -s - 2*s + 44, 0 = -2*x + 2. Suppose s = 2*u - 5*u. What are the prime factors of 1200/28 + u/(-35)?
43
Suppose 5*j - 5*d = -10, -5*d + 2 + 2 = -4*j. Let g = 63 + j. What are the prime factors of g?
3, 19
Suppose 0*b = -5*b + 5. Let y = 8 + b. Suppose 3*j + y = 6*j. What are the prime factors of j?
3
Let r(y) be the first derivative of 28*y**3/3 + 7*y**2/2 - y + 23. What are the prime factors of r(2)?
5
Suppose -15 = 5*h, -932 = -3*z - 2*h + 1336. List the prime factors of z.
2, 379
Suppose -3*j - 50 = -5*y - 21, 3*j + 1 = -2*y. List the prime factors of 149 + (2 - 4 - j).
2, 3, 5
Let x(k) = -4*k**3 + 13*k**2 - 2*k - 12. Let m(h) = 7*h**3 - 25*h**2 + 4*h + 25. Let t(d) = 6*m(d) + 11*x(d). What are the prime factors of t(-6)?
2, 3, 31
Suppose 5*d + 66 = -0*d + 3*t, -3*d - 34 = t. Let x be d*2/(-4) - 0. Suppose -3*c + 3*g + 111 = 0, c - 5*g + x = 31. What are the prime factors of c?
2, 5
Let k be 3/((-4)/(-4)) + -3. Suppose -5*j = -5*s - 41 - 104, 2*s + 4*j + 28 = k. Let v = s - -52. What are the prime factors of v?
2, 7
Suppose j - 119 = -4*k, -3*k + 2*j + 94 = -2*j. Suppose 9 + k = b. What are the prime factors of b?
3, 13
Suppose 1149 + 4541 = 2*i. What are the prime factors of i?
5, 569
List the prime factors of (20 + -222)/(-1 + -1).
101
Let y(g) = 2*g**3 - 5*g**2 - g + 4. Let l(u) = -u**3 - 23*u**2 + 24*u + 5. Let f be l(-24). List the prime factors of y(f).
2, 31
Suppose 4*z - 1801 + 387 = -2*c, 5*z - 695 = -c. What are the prime factors of c?
5, 11, 13
List the prime factors of (-64)/20*3955/(-14).
2, 113
Let g(c) = -c**2 - 7*c - 6. Let h be g(-5). Let d(k) = 3 - k**2 + 0 - 2*k + 3*k + h*k. What are the prime factors of d(4)?
7
Suppose x = 2*w + 22, w = -w + 3*x - 30. Let f = 57 + w. List the prime factors of f.
2, 3
Let p be ((-8)/10)/((-5)/(-25)). Let i = p - -8. Suppose 5*d + 0*n + 3*n = 6, i*n = -4*d. List the prime factors of d.
3
Let h = -3 + 4. Suppose 1579 + 21 = 4*u. What are the prime factors of -3*u/(-15)*h?
2, 5
Suppose 3769 - 509 = 10*n. Let c = -218 + n. List the prime factors of c.
2, 3
Let x(t) = -8*t**2 - 182*t + 20. What are the prime factors of x(-20)?
2, 5, 23
Suppose 5*z + 2 = 22. Suppose z*y - 6 - 2 = 0, -5*j + 2*y + 276 = 0. What are the prime factors of j?
2, 7
Suppose 112 = 35*p - 27*p. Suppose v + 0*v = -3*m + 126, -511 = -4*v - 5*m. Suppose -p*a + 11*a = -v. List the prime factors of a.
43
Suppose -3*x = -3*j + 1812, j + 5*x + 37 = 641. List the prime factors of j.
2, 151
Let k(y) = 4*y - 34. Let f(n) = -n**2 + 5*n + 34. Let o be f(7). What are the prime factors of k(o)?
2, 23
Let h(x) = -17*x + 193. What are the prime factors of h(-25)?
2, 3, 103
Let a(z) = -z**3 - 12*z**2 + 13*z + 4. Let c be a(-13). Suppose h + m - 3*m = 31, -5*h + 167 = -c*m. List the prime factors of h.
5, 7
Let g = -1 - -1. Suppose t + 3*t - 16 = g. Suppose 19 + 1 = t*z. List the prime factors of z.
5
Let i(d) = 2*d - 5. Let s be i(3). Let h be (-1 - s) + 2 - -2. Suppose h*q = -3*q + 45. List the prime factors of q.
3
Let f(v) = 37*v**2 - 22*v - 99. List the prime factors of f(-10).
3821
Suppose -y = 3*z - 8*z - 148, -3*z + 12 = 0. What are the prime factors of y?
2, 3, 7
Suppose 4*q = -4*m + 1574 - 422, -3*m - 5*q + 864 = 0. What are the prime factors of m?
2, 3
Let q(t) = t**3 + 35*t**2 + 55*t - 85. List the prime factors of q(-33).
2, 139
Suppose 30 = 4*j - 78. Suppose -4*v + 19 = 4*w - 9, -v + j = 5*w. Suppose -w*b - b + 156 = 0. List the prime factors of b.
2, 13
Let x = 23 + -6. Let q be 8/(-68) + (-678)/x. What are the prime factors of 4/(0 - 4/q)?
2, 5
Let h = 432 + -413. What are the prime factors of h?
19
Let d(f) = -2*f - 3. Let h be d(-2). Suppose p = 1 + h. Suppose a = -2*o + o + 11, 0 = p*a + 8. List the prime factors of o.
3, 5
Suppose 2*b - 2*t - 18 = 6, -2*b + 3*t = -24. Let w be 2/(-4) + (-114)/b. Let h(p) = p + 13. List the prime factors of h(w).
3
Let w = -64 - -40. Let l = 75 + w. List the prime factors of l.
3, 17
Let y(w) = 3*w**2 + 5*w - 4. Let v(h) = -7*h**2 - 10*h + 9. Let f(x) = -6*v(x) - 13*y(x). List the prime factors of f(-5).
2, 7
Let s = 1092 - -337. List the prime factors of s.
1429
Let g = 1660 - 960. List the prime factors of g.
2, 5, 7
Let z = -2500 - -3361. What are the prime factors of z?
3, 7, 41
Let y(m) = -m**2 + 24*m - 31. Let v be y(22). What are the prime factors of (2 + v)*(-40)/(-6)?
2, 5
Let p = -386 - -1174. What are the prime factors of p?
2, 197
Suppose 0*v = -3*v - w - 80, 0 = 3*v + 2*w + 82. Let n = 21 - v. List the prime factors of n.
47
Let d(g) = 2*g**3 + 34*g**2 + 19*g - 12. Let j = -31 - -15. What are the prime factors of d(j)?
2, 7
Let i = -3 + 5. Let h(t) = -2*t**3 - 13*t**2 + 5*t - 12. Let b be h(-7). Suppose -j = 0, -i*r + 3*j = b - 16. List the prime factors of r.
7
Let c(d) = -d**3 + 8*d**2 + d - 14. List the prime factors of c(7).
2, 3, 7
Suppose u - 5*a = 5*u - 27, 0 = 3*u + a - 23. Suppose 2*s - 2 - u = 0. Let c(q) = 7*q - 12. List the prime factors of c(s).
23
Let g(y) = -y**3 + 47*y**2 - 57*y - 197. List the prime factors of g(44).
29, 107
What are the prime factors of (-15160)/(-8)*(0 + 3 + -2)?
5, 379
Let s be ((-7)/3 - -2)/(3/(-387)). Suppose s = 9*l - 974. List the prime factors of l.
113
Let t(g) be the second derivative of 0 - 5*g + 1/2*g**2 + 3/2*g**3. List the prime factors of t(3).
2, 7
Let y be ((-5)/(-4))/((-4)/(-192)). Suppose y*f = 56*f + 496. What are the prime factors of f?
2, 31
Let w = 317 - 220. What are the prime factors of w?
97
Let g = 422 - 205. Suppose x - g = -3*c, -63 = -4*c + 2*x + 233. What are the prime factors of c?
73
Let l(b) = -2*b. Let h be l(-2). Let r = 53 - 48. Suppose i - h = -3*m, 5*i + 50 = r*m + 170. List the prime factors of i.
19
Let y = -1322 - -2495. List the prime factors of y.
3, 17, 23
Let u be -94*7/(15 - 1). Let d be ((-79)/2)/((-2)/4). Let b = d + u. List the prime factors of b.
2
Let v
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let g(d) be the second derivative of d**4/12 + 5*d**3/6 - 2*d + 58. Calculate g(a).
6
Let i = -19 + 39. Let w(h) = 13 + i - 35 + h. Determine w(6).
4
Let i(t) = 11*t**2 - t. Let l(q) = -44*q**2 + 5*q. Let v(b) = -9*i(b) - 2*l(b). Suppose 15*m - 7 = 22*m. Calculate v(m).
-10
Let u(a) = 5*a - 2. Let q be (-6)/8*-2*8/6. Determine u(q).
8
Let v(u) = -u**2 - 13*u - 1. Let m(c) = 4*c**2 + 40*c + 4. Let k(n) = -2*m(n) - 7*v(n). What is k(10)?
9
Let t(r) be the second derivative of -3*r**5/20 - r**4/12 + r**2/2 - 8*r. What is t(-1)?
3
Suppose -4*h - 2*k = 4, 2*h - 3*k + 2 = -0. Suppose -5*n = 5*d - 10, -d + 1 = -3*d + 3*n. Let v be (-16 - h)*d/(-3). Let b(r) = -r**2 + 5*r - 2. Calculate b(v).
-2
Let v(r) = r**2 + 4*r - 7. Let c be v(-5). Let i(d) = -d**3 + 2*d**2 + 3*d. Calculate i(c).
10
Let s(w) = w + 1. Let l be s(-5). Let m(n) = 2*n + 5. What is m(l)?
-3
Let c be 8/(-5) - 21/(-35). Let x(g) = -2*g**3 - 2*g**2 - 2*g - 1. Determine x(c).
1
Let u(i) = i**2 + 6*i - 4. Let j(r) = 3*r**2 + 12*r - 8. Let k(x) = -2*j(x) + 5*u(x). Give k(4).
4
Let t be -3 + 1 - 8/(-2). Let o(n) = 2*n**3 + 4 + 2*n + 5*n**t - n**3 + 0*n. Give o(-5).
-6
Let y(d) be the second derivative of -d**5/20 - d**4/3 + 7*d**3/6 + 3*d**2/2 - 11*d. Determine y(-5).
-7
Suppose -12*r - 12 = -9*r. Let z(m) = 6*m - 3. Give z(r).
-27
Suppose -20 = 5*u - u. Let y(x) be the first derivative of -7*x + 5/3*x**3 + 1/4*x**4 - 3 - x**2. Give y(u).
3
Let h(a) = a**2 + 6*a + 5. Let g(u) = -3*u**2 - 13*u - 11. Let i(n) = -2*g(n) - 5*h(n). Let j(b) = -b + 2. Let m be j(6). Let y = 1 - m. Calculate i(y).
2
Let p(k) be the second derivative of -k**5/20 + k**4/2 - k**3/3 - 5*k**2/2 + k - 27. Calculate p(5).
10
Let t(f) = -4 - 4*f - f**2 + 7 - 7 + 0. Give t(-3).
-1
Let v = 6 + -1. Let y(d) = -d**3 - 7*d**2 + 9*d + 11. Let j be y(-8). Let t(s) = j - 4*s - 4 - s**2 + 2*s**2. Give t(v).
4
Suppose 3*v = d + 9, 5*v - 14 = -2*d + 1. Let k = 8 - 4. Suppose -19 + 3 = 4*w + v*t, 0 = k*w - 2*t + 16. Let p(b) = -b**2 - 4*b + 4. What is p(w)?
4
Suppose 17*l - 6*l = 88. Let b(s) = s**2 - 8*s + 8. Determine b(l).
8
Let z = 11 - 7. Suppose k = -z*k. Suppose 10 = -4*c - 2*b, -2*b - 2 = -k*c + 2*c. Let s(n) = -n + 4. Determine s(c).
8
Let o(m) = 3*m - 4*m - 2*m**2 + m**2 + 5*m + 7. Determine o(6).
-5
Let d = 0 + 2. Let z(v) = 2*v**3 - v + 0*v + 3 - 3*v. Calculate z(d).
11
Suppose -2*q + 4*q - h - 2 = 0, -5*h - 25 = 5*q. Let w(v) = -5*v + 3. Let n(z) = -15*z + 8. Let j(k) = 4*n(k) - 11*w(k). Calculate j(q).
4
Let j = 13 + -10. Let p(i) = i**3 - 5*i**2 + 3*i - 4. Determine p(j).
-13
Let s(r) = 3*r - 1. Let t(d) = -6*d + 2. Let a(n) = -11*s(n) - 6*t(n). What is a(3)?
8
Let q(l) be the first derivative of l**4/4 + l**3/3 - l**2 + l + 3. Let v = 1 + 8. Let r be 6/v - 2/(-6). Determine q(r).
1
Let k(a) = -a**3 + 7*a**2 - 6*a + 2. Let s be k(6). Let m(d) = 3*d + 63*d**2 - 5 + d - 62*d**s. Determine m(-4).
-5
Let t(c) = 2*c**2 + 3*c + 2. Suppose -5*j = -0*j - 10. Suppose 2*l + 1 = -3*k + j, 0 = l + 2*k. Suppose -3*v = l*v + 10. Calculate t(v).
4
Let u be -1 - (-3)/(6/8). Suppose 0 = -5*r + 3*t + 16, 4 = -3*t - 2. Let y(n) = n - 4*n + 3 - 2 + r*n. Determine y(u).
-2
Suppose -1 = -5*j + 4. Let m = 3 - j. Let p be (1 - 6/m) + 7. Let x(a) = -a**2 + 5*a + 3. Calculate x(p).
3
Let r(w) = w - 2 + 2. Let k(s) = 4*s**2 + 6*s + 3. Let p(z) = -z**2 - z - 1. Let l(u) = -k(u) - 3*p(u). Let g be l(-4). What is r(g)?
-4
Suppose 0 = -d + 5*d - 8. Let f(x) = -3*x - x + 3*x + 4 + d. Calculate f(3).
3
Let f(q) be the second derivative of 1/2*q**2 + q + 0 - 1/6*q**3. Calculate f(0).
1
Let z(y) = -2*y**3 - 2*y + 2 + 521*y**2 - 524*y**2 + y**3. Calculate z(-2).
2
Suppose w + 3*n + 19 = 2*w, 4*w - 36 = 2*n. Let d(v) = v**2 - 4*v - 6. Determine d(w).
15
Suppose 1 = j - 0*j. Let m be (3/(-6))/(j/(-2)). Let u(q) = 4*q**3 - q**2 + 1. Determine u(m).
4
Let k(b) = 9*b**3 - b**2 - 12*b + 14. Let c(m) = 5*m**3 - 6*m + 7. Let v(s) = -7*c(s) + 4*k(s). Let q be (25/10)/(1/2). Give v(q).
2
Let i(f) be the third derivative of -f**5/60 - 7*f**4/24 - f**3 - 3*f**2. Let h be i(-6). Suppose l + 2*l + 6 = h. Let p(b) = b**2 - 1. Determine p(l).
3
Let h = 6 - 1. Let q(s) be the third derivative of s**6/120 - s**5/15 - 5*s**4/24 - 5*s**3/6 + 40*s**2. What is q(h)?
-5
Let b(u) = 11*u**3 + 18*u**2 + 15*u - 9. Let a(m) = 4*m**3 + 6*m**2 + 5*m - 3. Let s(v) = 8*a(v) - 3*b(v). Determine s(-5).
3
Let l be 39/12 + 2/(-8). Suppose 0 = 4*a + 3*s + 4, -l*a - 2 - 1 = -4*s. Let v(n) = -n**2 - 2*n - 1. Calculate v(a).
0
Suppose 0*y - 5*o = 2*y - 9, -4*o - 4 = -4*y. Let p(q) = q**3 - 4*q**2 - q + 2. What is p(y)?
-8
Let o(c) = 1. Let y(w) = w**2 - 6*w + 1. Let i(g) = -5*o(g) - y(g). Determine i(6).
-6
Let a(h) = -h**2 - 2*h + 4. Suppose -r + 5*f - 1 = -4*r, 5 = -5*r - 5*f. Determine a(r).
1
Let t(o) = -o**3 + 3*o**2 + o - 3. Let p be (3 + 0)*2/(-6). Let a = p - -4. Determine t(a).
0
Let k be (-35)/(-20) + (-1)/(-4). Suppose k*q - 3 = 2*z + 9, 4*z - q + 15 = 0. Let a(m) = 3*m + 4. What is a(z)?
-5
Suppose -5*i - 3*c + 13 = -i, -3*i + 4*c = 9. Suppose p = 1, 5*p + 6 = 4*u - i. Let y(s) = -s**3 + 0*s**u + 0*s**3. What is y(0)?
0
Let x(a) = -a**2 - 8*a - 7. Let b be (-96)/(-10) + 2/5. Suppose -k - 11 = 2*k - 5*q, 5*q + b = 0. Determine x(k).
0
Let a(l) = -l - 6. Let z(j) = j + 5. Let m(t) = 5*a(t) + 6*z(t). Suppose -3*q - u = -0*q - 9, 0 = 5*q + 2*u - 15. Calculate m(q).
3
Let u = -4 + 3. Let j(p) = 7*p**3 - p**2 + p + 1. What is j(u)?
-8
Let t(w) be the second derivative of w**5/24 - w**4/24 - w**3/6 + 10*w. Let i(u) be the second derivative of t(u). Calculate i(-2).
-11
Let x(j) = -j**3 + 3*j**2 + 2*j - 3. Let k(u) = -2*u + 10. Let q be k(3). Give x(q).
-11
Let n(y) = 3*y + 1. Let p be 5 - (2 + -2 - -1). Let k(u) = -4 - 11*u - 2*u + p*u. Let q(i) = 2*k(i) + 7*n(i). Calculate q(-1).
-4
Let k(z) = 2*z**2 + z + 2. Suppose 4*d + 16 = 2*a, 5*a - 2 - 11 = d. Calculate k(d).
17
Suppose 0 = 4*t - 4*f + 4, 1 = 5*t - f - 2. Let n = 3 - t. Suppose -n*m + 1 + 1 = 0. Let v(a) = -5*a**2 + a. Determine v(m).
-4
Let i(o) = -o**2 - o - 11. Let n be 6*1*(-5)/(-10). Suppose 2*c + n*c = 0. Give i(c).
-11
Let b(a) be the first derivative of -1 - a**2 + 6 - 3*a + 0*a + 2. What is b(-4)?
5
Let y(j) be the second derivative of -1/20*j**5 - 3/2*j**2 + 3*j + 0 - 1/4*j**4 - 5/6*j**3. Calculate y(-3).
12
Let c be 1/(-2)*24/(-2). Let g(u) = 3*u**2 + 2*u + 1. Let x be g(-1). Let z(f) = 9*f - 3*f - f + 4 - f**x. Give z(c).
-2
Let p be 2/(-8) - (-26)/8. Suppose -3*j + 3 = s, -p*j + 8*s = 3*s - 3. Let u(h) = 27*h + 7. Let v(q) = 13*q + 3. Let o(c) = -2*u(c) + 5*v(c). Calculate o(j).
12
Let m(k) be the first derivative of k**5/60 + k**4/4 + k**3/3 + k**2 - 1. Let q(s) be the second derivative of m(s). Let h = 6 + -11. What is q(h)?
-3
Let p = -3 - -2. Let t(o) = 4*o**2 - 3*o**2 + 4*o - o + 4*o**3 - 2*o. What is t(p)?
-4
Let b = 0 - -2. Suppose -4*x - 2*f + 3*f - 9 = 0, 4*x + 18 = -b*f. Let k(y) = -y**2 - 3*y + 1. Determine k(x).
1
Suppose -3*g = -8*g - 2*r + 11, -5*g + 7 = 4*r. Let w(d) = -g*d + 1 + d**3 + 5*d + 3*d**2 - 2*d**2. Let n = 8 - 9. What is w(n)?
-1
Let o be ((-24)/(-18))/((-1)/(-3)). Let y(a) = 4*a + o - 4*a + 2*a - a. Determine y(-5).
-1
Let d(n) = 2*n**3 - 3*n**2 + 3*n - 1. Suppose -10 = -5*h + 2*g + g, 2 = h - 4*g. Determine d(h).
9
Let c(z) = z**2 + 12*z + 15. Let s be c(-10). Let y(f) = f**2 + 5*f - 2. What is y(s)?
-2
Suppose 14 = -9*x + 2*x. Let u be 6/8 - (-2)/8. Let j(n) = u - 5 + 3 + n. Give j(x).
-3
Let z(l) = -1 + 12*l - 7*l + 5*l. Suppose -4*f - 5 + 20 = -v, 5*v = -2*f + 13. Calculate z(v).
9
Let n = -1 - -5. Suppose -3*l = -5*l - n. Let g(i) be the second derivative of -i**4/6 - i**3/6 + 3*i. Calculate g(l).
-6
Let x = -2 + 2. Let d(k) = 4 + x - 1 + k. Let p be (-150)/90*1*3. Calculate d(p).
-2
Let z = 5 - 2. Let j(y) = -y - 1. Let g(i) = -4*i - 6. Let r(q) = 3*g(q) - 16*j(q). What is r(z)?
10
Let a(r) = -2*r. Let t be a(0). Let o(p) be the third derivative of 4*p**2 + t*p - 1/6*p**3 + 0 - 1/4*p**4. Give o(-1).
5
Let l(t) = t**2 + 4*t - 3. Suppose 3*u - 3*h = -0*u - 18, 4*u - 8 = -4*h. Let n(k) = -k**2 + 2*k + 3. Let o be n(u). Calculate l(o).
2
Suppose 5*j = 10, 5*f + 4 + 8 = -4*j. Let z(v) = -v. Give z(f).
4
Let x(t) = 6*t. Let z(i) = 5*i. Let o(d) = 3*x(d) - 4*z(d). Let a = -2 + 0. Let g
|
{
"pile_set_name": "DM Mathematics"
}
|
= 5069/2 - 2534. Let z be 1 - 0/(3/(-1)). What is the third smallest value in 0, 3, z, p?
z
Suppose 15 = -4*t - u + 1, -5*t + 4*u = 7. Let n = 4.057 + -0.057. Which is the second biggest value? (a) t (b) n (c) 2/43
c
Let l = -8 + 8. Let f = 94 + -94.4. Which is the second biggest value? (a) f (b) l (c) 0.02
b
Let s = 595 + -600. What is the second smallest value in -4, s, 1/2?
-4
Let l be (2 + 0)*1/(-5). Let v = -0.613 - -0.65. Let h = -0.237 + v. What is the third biggest value in h, -2/7, l?
l
Suppose 2*s - 8*s + 30 = 0. What is the second biggest value in -81, s, -3?
-3
Let t = 1/2704 - -1351/2704. What is the smallest value in 2/21, t, -4/3, -0.4?
-4/3
Let s = 0.7 + 2.3. Let c(u) = -u**3 - u**2 - u + 2. Let v be c(0). Let a be v/(-3)*15/(-30). What is the third biggest value in s, -1, a?
-1
Let u = -586.5 + 587. Let t = -0.3 + 0.5. Which is the second biggest value? (a) u (b) t (c) 2
a
Let z = 951 + -11401/12. What is the third smallest value in -1/3, z, 1?
1
Suppose 17 = 5*n - 2*m, -2*m - 12 = -3*n - 1. Let k be (1 - 2)/(2/(-30)). Let t be (k/6)/(-1) + n. Which is the second smallest value? (a) 1/4 (b) -1 (c) t
a
Let b = 486 + -481. What is the second smallest value in -4, -3, b?
-3
Let w = 149 + -210. Let y = w + 66. Which is the biggest value? (a) -5 (b) 2.6 (c) y
c
Suppose -3*q + 0*m + 2*m = -54, -q - 3*m = -18. Suppose 0 = -4*z + z + q. Let j = 817 + -816.8. What is the third smallest value in 0, z, j?
z
Let l = -12.12 + 12.1. Which is the third smallest value? (a) 0.3 (b) -2 (c) 12 (d) l
a
Suppose j - 3*d + 8 = 0, -9 + 1 = -5*j - d. Let z = -2 - -1. Let w = 0 + z. What is the smallest value in -1/4, w, j?
w
Suppose -s + 5*m = -7, 10*m + 1 = 3*s + 5*m. Which is the third biggest value? (a) -1/6 (b) 0.3 (c) 1.3 (d) s
a
Let s be (-2)/24 + (-3)/((-3960)/638). What is the third biggest value in -0.4, -3/2, s, 0.57?
-0.4
Let g = -0.8 - -0.5. Let h be (-228)/(-44) + (-7)/((-63)/(-45)). Which is the fourth biggest value? (a) -3 (b) 0 (c) h (d) g
a
Let q = 0.6 - 8.6. Let g = q + 8. What is the smallest value in g, -2/13, 1/2?
-2/13
Let x = -740 - -744. What is the third biggest value in 2, 0, x, -5?
0
Let n = -97 - -67. Let w = 30.1 + n. Suppose 2*z - 35 = -31. Which is the second biggest value? (a) z (b) -3 (c) w
c
Suppose 436 = -48*s - 140. Let x = 0.09 + -2.09. Which is the fourth biggest value? (a) x (b) s (c) -4 (d) -4/5
b
Let m = -61 + 67. Let o = -8 + 10. Let u = o + 2. Which is the second biggest value? (a) 0 (b) m (c) u
c
Let m = -1.63 - 1.37. Which is the third smallest value? (a) m (b) -16 (c) 0.3
c
Let p = -1/159 + -103/477. What is the fourth smallest value in 5, p, 1/4, 1/3?
5
Suppose -3*i - 840 = -51. Let a be ((-1)/3)/(2/i). Let v = a + -44. What is the biggest value in -0.4, v, -0.3?
v
Suppose -4*x + 3*j = 1, 13*x + 3 = 16*x - 3*j. Which is the smallest value? (a) 1 (b) -0.1 (c) x (d) -1
c
Let w = -1447.6 - -1448. Let k = 0 + 0. Let z = k + -1. Which is the second smallest value? (a) w (b) z (c) -2/3
c
Let t = -90 + 89.8. What is the second smallest value in -2, t, -0.5, -0.1?
-0.5
Let h(l) = l**2 - 14*l - 9. Let s be h(15). Suppose 0 = s*d - 0*d + 30. Which is the third smallest value? (a) d (b) 4 (c) -6
b
Let k = -0.2 - 0. Let b(u) = -u**2 - 9*u + 5. Let r be b(-10). What is the second smallest value in 0.1, k, r?
k
Let t = -38/65 - 8/13. What is the third biggest value in -17, -0.5, t?
-17
Let w = -168 - -187. What is the third biggest value in -0.03, w, -5, 5?
-0.03
Suppose 52 = -4*o + 5*r, 0 = o - 5*o - 4*r - 16. Let j be (-5)/(-15)*o*9/6. Which is the third smallest value? (a) -1 (b) -4/3 (c) j
a
Let d be -7 + 2 - 555/(-105). Let n be ((-4)/(-10))/(60/50). What is the second smallest value in n, 5, d?
n
Let l = -3.3 + 4. Let f = 107.7 - 162.4. Let x = 55 + f. Which is the biggest value? (a) 0 (b) l (c) x
b
Let x = -305 - -303. What is the second smallest value in 2/7, x, 5, 0?
0
Let j be 6/24 - (-3)/(-7). Let i = j - 4/7. What is the third smallest value in -0.04, 1, i?
1
Let p = -2.4 + 0.6. Let q = p + 2. Let j = 308 + -307.5. Which is the biggest value? (a) 1/6 (b) q (c) j
c
Let y = -2.25 - -0.25. Let b = 14 + -10. Let f = 2 - 1. What is the third biggest value in b, f, y?
y
Let w(c) = 3*c - 68. Let f be w(22). What is the third smallest value in f, 3/4, 17.9?
17.9
Let v = 2.3 + -1.7. Let m = v - -0.1. Let q = m + -0.2. Which is the third smallest value? (a) -1/6 (b) q (c) -1/2
b
Suppose 560 = -12*k + 4*k. Let t = 279/4 + k. What is the second smallest value in t, 2, 2/3, -0.1?
-0.1
Let d = 0.192 - -77.808. Let q = d + -80. Let j = 316/165 - 26/15. Which is the third biggest value? (a) -1 (b) q (c) j
b
Let n = -0.11 + -0.49. Let g = 216/133 + -20/19. Let y = 171/106 - 6/53. What is the biggest value in g, n, y?
y
Suppose -1 = -4*i + 7. Suppose -i*c - c = -k, 2*c - 2*k + 4 = 0. Let m be -1 - ((-1 - 6) + 2). What is the second smallest value in m, -0.01, c?
c
Let f = -0.1408 - -2.1408. What is the third biggest value in -14, f, 1/2?
-14
Let p = 1.2 + -48.2. Let z = p - -48. Let r = 1 + -1. What is the third smallest value in 0.1, r, z?
z
Let t = 0.009 + -0.029. Let a = t - -0.12. Let v(s) = 4*s. Let d be v(1). What is the third smallest value in 2/19, a, d?
d
Let i = 7 + -3. Let q be ((17 - 2)*-2)/(-1). Let j be (3/q)/((-3)/(-6)). Which is the second smallest value? (a) i (b) -0.3 (c) j
c
Let l = 895/44 - 210/11. Let i = -85 + 85.4. What is the smallest value in i, l, 1?
i
Let p be (-1)/(-3) - ((-1191)/261 - -5). Let y = -35/58 - p. What is the second biggest value in y, 3/5, 21?
3/5
Let y = -1075 + 1074.7. Which is the second biggest value? (a) 2/1087 (b) -1/11 (c) y (d) -0.5
b
Let y = -0.2531 + -0.1469. Which is the second smallest value? (a) y (b) 1/2 (c) -1/5 (d) 0.1
c
Let a = 691 - 694. Let d be (4/(-6))/(1/(-6)). Let v(k) = -k**2 + 6*k - 4. Let u be v(d). What is the second biggest value in a, u, -6?
a
Let h = -0.2 + -0.2. Let k be ((-8)/(-7))/2*(2646/(-140))/(-27). What is the second smallest value in h, k, -0.6?
h
Let k be 0/1 - (-4)/10. Let p = 10 + -5. Let z = 3.9714 - -0.0286. What is the second smallest value in k, p, z?
z
Let f be (2/3)/(2/6). Let q = -89.66 - -90.36. Which is the second smallest value? (a) f (b) q (c) 0.1
b
Let j = -104.7 - -109.69. Let w = -0.01 - j. Let i = w - -5.1. Which is the third smallest value? (a) 3 (b) -2 (c) i
a
Let m be (-53)/(-106)*(-172)/14 + 6. Which is the second smallest value? (a) m (b) -0.1 (c) -0.85 (d) -0.3
d
Suppose 1 = -i - 2*a + 7, -2*i + 4*a = 4. Suppose 3 = -3*v - 3. Let o be (v/1)/(1/i). What is the third smallest value in -2, -3, o?
-2
Let o = -241 + 242. What is the third biggest value in -2, -1/2, 1/3, o?
-1/2
Let r be (-2)/(-4) + (0 - 1). What is the third smallest value in r, 0.4, -35?
0.4
Let r = 3 + -11. Let m = -17 + 8.8. Let q = r - m. What is the smallest value in q, 2, -0.2?
-0.2
Let j = -618 + 618.028. Which is the biggest value? (a) j (b) -3/5 (c) 2/13 (d) -3
c
Suppose 2*m = 2*f + 14, -m - 5*f = 2 + 9. Suppose 5*d - 3*k - 3 = 0, -m*d = -0*d + 4*k + 4. Which is the biggest value? (a) d (b) 1/3 (c) -2
b
Let t = 2474 - 2471. Let l = -1 + 4. Let r = l - 6. Which is the third biggest value? (a) 2/13 (b) t (c) r
c
Let h = -2/283 - 1411/566. What is the fourth smallest value in -12, h, 0, -5?
0
Let i = 0.31 - 0.3. Let j = i - -0.05. Let f = j - 0.36. Which is the biggest value? (a) f (b) -3/2 (c) 5
c
Let p = -11.6 - -20.8. Let f = p + -4. What is the biggest value in 1, 0.5, f?
f
Suppose -42 = -36*o - 222. Which is the second biggest value? (a) o (b) 2/5 (c) -16
a
Let f = -34 - -19. Let r be ((-2)/6)/((-50)/f). Let c = -11.8 - -12. What is the third smallest value in r, c, -0.9?
c
Let r(z) = z**3 - 8*z**2 + 2*z - 9. Let q be r(8). Suppose q*j - 16 = 11*j. Which is the third biggest value? (a) 0.03 (b) j (c) 3/7 (d) 0
d
Let m = 0.13 + 0.07. Let f = 991/7 - 142. What is the third biggest value in m, f, -5?
-5
Let r = 1027 + -1088. Which is the second smallest value? (a) -0.2 (b) r (c) -2
c
Let v = -818/77 + 120/11. Which is the third biggest value? (a) -0.01 (b) 2/5 (c) -4 (d) v
a
Let s be (-121)/6 + (-1 - -1)*-1. Let g be 2 + -3 - (-907)/42.
|
{
"pile_set_name": "DM Mathematics"
}
|
302816 to the nearest integer?
12
What is the fourth root of 1073135 to the nearest integer?
32
What is 273580 to the power of 1/2, to the nearest integer?
523
What is the tenth root of 4038579 to the nearest integer?
5
What is the fifth root of 37642433 to the nearest integer?
33
What is the cube root of 733894 to the nearest integer?
90
What is 3780655 to the power of 1/3, to the nearest integer?
156
What is 1301008 to the power of 1/9, to the nearest integer?
5
What is 75023 to the power of 1/4, to the nearest integer?
17
What is the square root of 309681 to the nearest integer?
556
What is the third root of 242556 to the nearest integer?
62
What is 12045774 to the power of 1/2, to the nearest integer?
3471
What is the fifth root of 11500718 to the nearest integer?
26
What is 6507366 to the power of 1/2, to the nearest integer?
2551
What is 360973 to the power of 1/4, to the nearest integer?
25
What is 770936 to the power of 1/2, to the nearest integer?
878
What is the square root of 4271824 to the nearest integer?
2067
What is the square root of 2857686 to the nearest integer?
1690
What is 74943 to the power of 1/8, to the nearest integer?
4
What is 784554 to the power of 1/3, to the nearest integer?
92
What is the cube root of 208294 to the nearest integer?
59
What is the third root of 335043 to the nearest integer?
69
What is the cube root of 2335107 to the nearest integer?
133
What is 21305 to the power of 1/2, to the nearest integer?
146
What is 2027426 to the power of 1/2, to the nearest integer?
1424
What is the cube root of 56895 to the nearest integer?
38
What is the square root of 26787973 to the nearest integer?
5176
What is the third root of 296041 to the nearest integer?
67
What is 34342795 to the power of 1/2, to the nearest integer?
5860
What is the fourth root of 6396833 to the nearest integer?
50
What is 80743 to the power of 1/2, to the nearest integer?
284
What is 868206 to the power of 1/10, to the nearest integer?
4
What is the square root of 13104829 to the nearest integer?
3620
What is the third root of 763449 to the nearest integer?
91
What is the square root of 13776046 to the nearest integer?
3712
What is 5070225 to the power of 1/3, to the nearest integer?
172
What is the cube root of 11102154 to the nearest integer?
223
What is the square root of 12412992 to the nearest integer?
3523
What is the square root of 141305 to the nearest integer?
376
What is the third root of 372092 to the nearest integer?
72
What is 798379 to the power of 1/10, to the nearest integer?
4
What is 608655 to the power of 1/2, to the nearest integer?
780
What is 29547252 to the power of 1/5, to the nearest integer?
31
What is 3226071 to the power of 1/2, to the nearest integer?
1796
What is 7553096 to the power of 1/2, to the nearest integer?
2748
What is 334775 to the power of 1/3, to the nearest integer?
69
What is the square root of 451776 to the nearest integer?
672
What is the square root of 8466699 to the nearest integer?
2910
What is the square root of 5916811 to the nearest integer?
2432
What is the fourth root of 16516158 to the nearest integer?
64
What is 429318 to the power of 1/2, to the nearest integer?
655
What is 664522 to the power of 1/2, to the nearest integer?
815
What is the third root of 68215 to the nearest integer?
41
What is the square root of 6950469 to the nearest integer?
2636
What is 936204 to the power of 1/5, to the nearest integer?
16
What is the tenth root of 2537121 to the nearest integer?
4
What is the fourth root of 944791 to the nearest integer?
31
What is 1887886 to the power of 1/2, to the nearest integer?
1374
What is 1828881 to the power of 1/6, to the nearest integer?
11
What is 101678 to the power of 1/9, to the nearest integer?
4
What is the cube root of 90496 to the nearest integer?
45
What is 4779102 to the power of 1/4, to the nearest integer?
47
What is the square root of 14414092 to the nearest integer?
3797
What is the eighth root of 2216678 to the nearest integer?
6
What is 9925202 to the power of 1/3, to the nearest integer?
215
What is the square root of 11430714 to the nearest integer?
3381
What is 15943775 to the power of 1/7, to the nearest integer?
11
What is 340978 to the power of 1/7, to the nearest integer?
6
What is the square root of 2319437 to the nearest integer?
1523
What is 152765 to the power of 1/6, to the nearest integer?
7
What is the third root of 1600918 to the nearest integer?
117
What is the square root of 266150 to the nearest integer?
516
What is the square root of 4612906 to the nearest integer?
2148
What is 3336844 to the power of 1/3, to the nearest integer?
149
What is 1924341 to the power of 1/10, to the nearest integer?
4
What is the square root of 2088860 to the nearest integer?
1445
What is 522931 to the power of 1/3, to the nearest integer?
81
What is the third root of 5367329 to the nearest integer?
175
What is 12802679 to the power of 1/6, to the nearest integer?
15
What is the cube root of 21116 to the nearest integer?
28
What is the fifth root of 199970 to the nearest integer?
11
What is the cube root of 9223036 to the nearest integer?
210
What is 79820 to the power of 1/2, to the nearest integer?
283
What is the ninth root of 834802 to the nearest integer?
5
What is the square root of 1386910 to the nearest integer?
1178
What is 178594 to the power of 1/6, to the nearest integer?
8
What is the eighth root of 216018 to the nearest integer?
5
What is 1997631 to the power of 1/3, to the nearest integer?
126
What is 995297 to the power of 1/6, to the nearest integer?
10
What is 255565 to the power of 1/2, to the nearest integer?
506
What is the square root of 620586 to the nearest integer?
788
What is 1015052 to the power of 1/10, to the nearest integer?
4
What is the tenth root of 4705 to the nearest integer?
2
What is 9493322 to the power of 1/2, to the nearest integer?
3081
What is the square root of 1342715 to the nearest integer?
1159
What is 531892 to the power of 1/2, to the nearest integer?
729
What is 235269 to the power of 1/3, to the nearest integer?
62
What is 13710472 to the power of 1/2, to the nearest integer?
3703
What is the square root of 623894 to the nearest integer?
790
What is 1296366 to the power of 1/2, to the nearest integer?
1139
What is the square root of 758317 to the nearest integer?
871
What is 298283 to the power of 1/9, to the nearest integer?
4
What is the square root of 839054 to the nearest integer?
916
What is 460622 to the power of 1/3, to the nearest integer?
77
What is the third root of 1644017 to the nearest integer?
118
What is 24070639 to the power of 1/3, to the nearest integer?
289
What is the sixth root of 134325 to the nearest integer?
7
What is the square root of 11850095 to the nearest integer?
3442
What is 524904 to the power of 1/3, to the nearest integer?
81
What is the fourth root of 136975 to the nearest integer?
19
What is 2056858 to the power of 1/3, to the nearest integer?
127
What is 46822 to the power of 1/2, to the nearest integer?
216
What is the square root of 703735 to the nearest integer?
839
What is 4119362 to the power of 1/3, to the nearest integer?
160
What is the cube root of 2649193 to the nearest integer?
138
What is 362765 to the power of 1/2, to the nearest integer?
602
What is 9522970 to the power of 1/4, to the nearest integer?
56
What is 236019 to the power of 1/4, to the nearest integer?
22
What is the square root of 1649730 to the nearest integer?
1284
What is the square root of 587184 to the nearest integer?
766
What is the cube root of 3221825 to the nearest integer?
148
What is 8877319 to the power of 1/4, to the nearest integer?
55
What is the tenth root of 671483 to the nearest integer?
4
What is 784799 to the power of 1/5, to the nearest integer?
15
What is the fourth root of 103861 to the nearest integer?
18
What is 1368755 to the power of 1/5, to the nearest integer?
17
What is the square root of 503687 to the nearest integer?
710
What is 3080109 to the power of 1/2, to the nearest integer?
1755
What is 305231 to the power of 1/5, to the nearest integer?
13
What is the square root of 50457 to the nearest integer?
225
What is 2148905 to the power of 1/2, to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) -3
d
Which is the third smallest value? (a) 5/6 (b) -5/2 (c) 0.474 (d) 4 (e) -1/5
c
Which is the third smallest value? (a) -2/24815 (b) 0 (c) 5 (d) 2 (e) -3 (f) -2
a
What is the sixth biggest value in 1, -2, 0.3, -2568, -1/8, -3?
-2568
Which is the third biggest value? (a) -1/3820 (b) -4 (c) 2/5 (d) 4 (e) -2/25
a
What is the second biggest value in -30, -12, 0.0088?
-12
What is the second smallest value in -17, 407, -0.5, 0.125, 3?
-0.5
Which is the biggest value? (a) 3 (b) -4.89 (c) 2.54
a
What is the biggest value in -5, 0, 4922, 25?
4922
What is the third biggest value in -1/2, -3/5, 1, 57, 0.08, -2/7?
0.08
Which is the second biggest value? (a) 2/7 (b) 12 (c) -3431
a
Which is the third smallest value? (a) -4/9 (b) 23/6 (c) -30411/2
b
What is the second smallest value in -4, 18, -1, 0?
-1
What is the third biggest value in -7, 1, 18.81?
-7
Which is the smallest value? (a) -325/8 (b) 2 (c) 7/4 (d) 0.2 (e) 0
a
What is the biggest value in -17, -4, 0.032564?
0.032564
What is the fifth smallest value in 7, -1, -6, -46, -2/19?
7
Which is the fifth biggest value? (a) 4 (b) 0.5 (c) -2 (d) 0.06 (e) -9 (f) -127
e
What is the fourth smallest value in -10, 6, -0.6, -5, -7, 32?
-0.6
Which is the smallest value? (a) -18 (b) -3 (c) -141
c
What is the fourth smallest value in 0.2, 0.4, -2/190483, -0.2?
0.4
Which is the fifth smallest value? (a) 0 (b) -114 (c) 2/3 (d) 2/7 (e) -4 (f) -2
d
What is the third smallest value in 89/5, -1, -53?
89/5
Which is the biggest value? (a) 121 (b) 3 (c) 2/13 (d) -153
a
What is the third biggest value in 0.29, 5, 0.04, -0.7?
0.04
What is the smallest value in 2603, 5, 0.4, 2, -1.5, -5?
-5
Which is the smallest value? (a) 0.361 (b) -0.2 (c) 1/8 (d) -4/5 (e) 3 (f) -1/2
d
Which is the second biggest value? (a) 102 (b) -13667 (c) -0.3
c
Which is the second biggest value? (a) -1/2 (b) 0.044464 (c) -3 (d) 0
d
Which is the fourth smallest value? (a) 3/11 (b) 1 (c) 2 (d) -82 (e) -3/2
b
Which is the second biggest value? (a) 14/13 (b) 1/2 (c) 1 (d) -0.5
c
Which is the fourth biggest value? (a) -2.5 (b) 0.4 (c) 5 (d) 2/11 (e) 2236 (f) 4/9
b
Which is the second biggest value? (a) 3 (b) 41 (c) -2 (d) 2/19 (e) -74 (f) 0.06
a
Which is the smallest value? (a) 1/4 (b) -7 (c) 3 (d) 2.09
b
Which is the smallest value? (a) -5 (b) 0.2 (c) -13/36 (d) -1 (e) 0.02
a
What is the third smallest value in 1/4, -5, 15, -2.5, 7/4?
1/4
Which is the second smallest value? (a) 0.11 (b) 0.4 (c) -3/2 (d) -0.1
d
What is the fifth smallest value in 1, 5, 0.1, 483, 8/17?
483
What is the third biggest value in 158327, -5, -1?
-5
What is the fifth biggest value in 0.1, -1200/19, -1/2, 0.2, 2?
-1200/19
Which is the third biggest value? (a) 2/5 (b) 0 (c) 2 (d) -549
b
Which is the second smallest value? (a) 52 (b) 2938 (c) -3
a
Which is the second biggest value? (a) 1 (b) 0.1 (c) -363 (d) -0.119 (e) 1/6
e
What is the third smallest value in -169, 1/5, 1.8?
1.8
What is the biggest value in -2, 2/41, 1/2, 70, 1/3?
70
What is the third smallest value in -18, 9/61, -26?
9/61
What is the smallest value in -44645, 2, -9?
-44645
Which is the third biggest value? (a) 0.2 (b) 13 (c) -5 (d) 2 (e) 5 (f) 2/17
d
Which is the sixth biggest value? (a) 7 (b) 2/9 (c) 0.13 (d) -1 (e) 0.1 (f) -3
f
Which is the biggest value? (a) 7/5 (b) 78 (c) -2.1
b
Which is the third smallest value? (a) -0.5 (b) 0.7 (c) -2 (d) 5 (e) 35 (f) -0.4
f
Which is the second biggest value? (a) 6/11 (b) 0.2 (c) 38/35519
b
Which is the third smallest value? (a) -2.771 (b) -2/11 (c) 36
c
What is the smallest value in 0.03465, -3, -7, 0.4?
-7
Which is the sixth biggest value? (a) 4 (b) -7 (c) 1 (d) -0.038 (e) -26 (f) 2/11
e
Which is the third biggest value? (a) -0.01 (b) 430 (c) 5 (d) -17
a
Which is the fourth smallest value? (a) 2/15 (b) 6 (c) 0 (d) -1 (e) -1/1162
a
Which is the smallest value? (a) 2 (b) 23 (c) -1 (d) -5 (e) 0.3 (f) 14
d
What is the third smallest value in 0.5, 3, -2/159, 0.05, 16?
0.5
What is the fourth smallest value in -2/11, -51/4, 13, 3/5, -3/8, -1/2?
-2/11
What is the third biggest value in 54/7, -1/4, 50?
-1/4
What is the biggest value in -1, 1.34, -0.006?
1.34
Which is the smallest value? (a) 2/9 (b) -5 (c) -209 (d) 2 (e) 9
c
What is the third biggest value in 0.539, 2, 1/6, 0.2, -2, -0.2?
0.2
What is the fourth biggest value in -5, -2/3, 0.953, 2, 3?
-2/3
Which is the third smallest value? (a) -2/9 (b) 1606 (c) 2/313
b
Which is the fourth biggest value? (a) 1 (b) -14/5 (c) -2/3 (d) 0.1 (e) -5
b
What is the biggest value in -17, 16, -4?
16
What is the second smallest value in -2, -14/41, -0.4?
-0.4
What is the second biggest value in -1/5, 0, 4/7, 2/5675, -2/11, 1/4?
1/4
What is the smallest value in -4, 6, 5276, 1/4, -0.4?
-4
What is the fourth biggest value in 5, -0.1, 28, 75, -62, 1?
1
Which is the smallest value? (a) -0.1 (b) 3 (c) 70/31 (d) -1/175 (e) -2/5 (f) -1
f
Which is the fourth smallest value? (a) 3 (b) 8/7 (c) -581 (d) 4
d
Which is the third biggest value? (a) 0.38 (b) -5 (c) 3/5 (d) 494
a
Which is the fifth biggest value? (a) 21 (b) -1 (c) -3 (d) 3 (e) 16
c
Which is the third biggest value? (a) -17523 (b) -2 (c) -0.4
a
Which is the third biggest value? (a) -5.5 (b) 1/2 (c) -3728
c
What is the smallest value in -43, 61, -1.5, 18?
-43
Which is the fourth biggest value? (a) 3/4 (b) 1 (c) 0.4 (d) 0 (e) -13.3
d
What is the fifth biggest value in 1/22, -2, -110, -1.1, 1?
-110
Which is the sixth biggest value? (a) 0.06 (b) -1/171 (c) -3 (d) 1 (e) 3 (f) -4
f
What is the second biggest value in -112.27, -2, 0?
-2
What is the second smallest value in -0.03, 1/10, -0.1, 1/6?
-0.03
Which is the biggest value? (a) -368 (b) 12/101 (c) 0.4
c
Which is the second biggest value? (a) 1/6 (b) -1930 (c) 0.0919
c
What is the second biggest value in 7, -1/3, -4384?
-1/3
What is the sixth smallest value in 0.02057, 0.3, -1, -0.2, 2, -0.5?
2
What is the biggest value in 3/8080, 0.07, 5?
5
What is the smallest value in 21, -2/2463, 5?
-2/2463
Which is the fourth smallest value? (a) 4 (b) 5 (c) -19 (d) -6 (e) -0.5 (f) 0.1025
f
Which is the third biggest value? (a) -5 (b) 10 (c) 1/5 (d) 42
c
Which is the second biggest value? (a) 1 (b) -140 (c) 0.05 (d) 48
a
Which is the sixth biggest value? (a) -3 (b) -0.37 (c) 4 (d) -0.5 (e) -1 (f) 0.2
a
Which is the third smallest value? (a) 4 (b) 2/3 (c) 1512 (d) 0.4 (e) -6
b
What is the fifth biggest value in 0, 1, -2, -5, -259?
-259
Which is the smallest value? (a) -4/5 (b) -801 (c) -2
b
What is the fourth smallest value in -4, 2, 0.02, 30, 2/9?
2
Which is the sixth smallest value? (a) 14/9 (b) 0.1 (c) -0.2 (d) -2.5 (e) 2 (f) -2
e
Which is the second smallest value? (a) -0.2 (b) 1.54 (c) 2/709 (d) -1/2 (e) -2/9
e
What is the biggest value in 263.8, -2/5, 129?
263.8
Which is the fifth biggest value? (a) -5/2 (b) 10 (c) 1/2 (d) 0.145 (e) 2.7
a
Which is the third smallest value? (a) -2/19 (b) -1419 (c) -2 (d) 253
a
What is the biggest value in 2, 1/4, 13, 1, 5, 3970?
3970
Which is the second biggest value? (a) 1 (b) 0 (c) -0.6 (d) -5 (e) 0.3 (f) 1/2
f
What is the third smallest value in 2/21, -101, -339?
2/21
Which is the fourth biggest value? (a) -4 (b) 2/3 (c) 2 (d) -19 (e) 5 (f) -22
a
Which is the third smallest value? (a) -0.1 (b) 65/2 (c) -1
b
Which is the biggest value? (a) 5 (b) 3/2 (c) -149/16
a
What is the third biggest value in -0.2, -790, 57?
-790
Which is the third biggest value? (a) -4/11 (b) -2 (c) 7 (d) 2 (e) 38.3 (f) -0.1
d
What is the third smallest value in 0.4, 0, 4, 1, -37/4, 2/11?
2/11
What is the fourth biggest value in -3/2, 2/19, -0.4, 0.04, 29/4, 0?
0
Which is the second smallest value? (a) -432 (b) -14 (c) -4
b
What is the third smallest value in -10, -3, 25/38?
25/38
What is the third smallest value in -2/21, 0.77, 4?
4
What is the second biggest value in 2375, 3, 8.8, -3?
8.8
What is the biggest value in -3, -2.24, 3/38, -4?
3/38
What is the smallest value in -13, 6, 3, 0.1, 0.07?
-13
What is the biggest value in -1/2, -5/2, -163/3, 0.1?
0.1
W
|
{
"pile_set_name": "DM Mathematics"
}
|
28*a - 4. Let z be i(5). Let m = -436 - z. What are the prime factors of m?
11, 23
List the prime factors of 7858 - 363 - 4*2/4.
59, 127
Suppose 7*i + 10 = 5*i. Let d(n) = n**3 + 7*n**2 + 10*n - 2. Let t be d(i). List the prime factors of (-5 - -9 - t)*(-16)/(-6).
2
Suppose -28178*x + 537510 = -28163*x. List the prime factors of x.
2, 19, 23, 41
Let s = 3638 - 863. List the prime factors of s.
3, 5, 37
Suppose 5*x - 20 = -10. Suppose 0*o - 18 = -4*o - x*v, 4*v = -3*o + 16. What are the prime factors of -4 + (8 - o) + 117?
3, 13
Suppose 5*s - 323421 = 3*i, 5*s - 323453 = -88*i + 87*i. List the prime factors of s.
3, 21563
Let w be 32150/8 - 90/120. Suppose -5*n = -d - 4022, 0 = 5*n + 6*d - 5*d - w. List the prime factors of n.
2, 3, 67
Suppose -247*k - 26*k = -2634512 + 1081688. List the prime factors of k.
2, 3, 79
Suppose -y - 9 = -48. Let o be (-104)/y - ((-1)/(-3) - 1). Let g(h) = -h**3 - h**2 - 6*h - 5. List the prime factors of g(o).
11
Let g = 24953 - 14270. What are the prime factors of g?
3, 1187
Let v be (20/24*524)/((-3)/(-9)). Suppose -11*r - v = -21*r. What are the prime factors of r?
131
Let k = -73 + 91. Suppose 0 = 8*w + k + 6. What are the prime factors of w*(-3)/9 - -32?
3, 11
Suppose -5*d + 72 + 211 = 2*r, -d + 55 = 2*r. Let p be (1 + 0)/(-1) - (-6 + d). Let u = p + 74. List the prime factors of u.
2, 11
Let r be 44/3*((-6)/12 - -5). List the prime factors of (-109)/((24/(-4))/r).
11, 109
Let g(n) be the third derivative of 0*n - 1/8*n**4 + 2*n**2 - 7/3*n**3 + 0. List the prime factors of g(-7).
7
Let u be (4 - -13)/(0 + -2 + 1). List the prime factors of (-1942)/(-4) + 6/(u - -29).
2, 3
Let z be ((-10)/(2/2))/(6 + -8). Let u be (5 - z/(-1))*(-4)/10. Let y = u - -20. List the prime factors of y.
2
Suppose -6880 = -2*g - 4*k, 4*g - 7*k - 13790 = -5*k. What are the prime factors of g?
2, 1723
Let r(k) = -74 - 30*k + 82 + 32*k**2 + 23*k. List the prime factors of r(-3).
317
Let v(m) = -6*m**2 - 6*m + 12. Let a be v(6). Let y = a - -514. What are the prime factors of y?
2, 137
Let r = 1273 + 29897. List the prime factors of r.
2, 3, 5, 1039
Let i be (6/(-2))/(2/((-64)/12)). Suppose -i + 6 = -f. Let b(w) = 20*w**2 + 2*w. List the prime factors of b(f).
2, 3, 7
Let a be (-36)/8 + 5/10 + 0. List the prime factors of a/9 + 12508/36.
347
Suppose -3*o + 9 = 0, 0 = -2*r + 4*o - 5*o - 3. Let t(v) = 34*v**2 - 5*v + 2. List the prime factors of t(r).
17, 19
Let f = -158 + 1333. Suppose 5*j - 2939 = -4*r, f = 2*j + 3*r - 2*r. What are the prime factors of j?
587
Suppose -112 = 7*z - 3*z. Let s be -4*6/(216/51)*-15. Let w = z + s. List the prime factors of w.
3, 19
Let d = -2451 + 24957. What are the prime factors of d?
2, 3, 11, 31
Let f(y) = y**3 - y**2 - y + 5. Let o be f(0). Suppose -o*l + 22 = -h, 0 = -h + 4*l - 9 - 8. List the prime factors of 82/h - (-3 + 20/6).
3
Let o(c) = 97*c**2 + 215*c - 846. List the prime factors of o(4).
2, 3, 29
List the prime factors of 730/(-1168) + (-508346)/(-16).
31771
Suppose 4*i + 96 = p, -148 = 3*p - 2*i - 466. Let w be ((-6831)/p)/(1/4). Let r = w + 386. What are the prime factors of r?
7, 19
Let j(g) = 14*g + 124. Let c be j(-7). Suppose c*a - 1010 = 25*a. List the prime factors of a.
2, 5, 101
Let g(t) = -50 - 53 - 39 + 176 + 6*t - 49. Let h(z) = z**3 + 6*z**2 + 7*z + 5. Let n be h(-4). List the prime factors of g(n).
3, 13
What are the prime factors of ((-460)/(-110) - 4) + (-3406)/(-22)?
5, 31
What are the prime factors of (11 + 0)*1/(77/143857)?
20551
Let f(q) = 75*q**2 + 168*q + 45. What are the prime factors of f(6)?
3, 139
Suppose 5*i = -0*i + 3*a + 2061, a + 413 = i. Let o = i + -148. What are the prime factors of o?
263
Let f(y) = 93*y**2 - 3*y - 18. Let x be f(-5). Suppose -7*i + x = -191. What are the prime factors of i?
359
Let c(z) = -133*z + 1012. List the prime factors of c(-66).
2, 5, 11, 89
Let x = 639 - -3872. Let o = -2722 + x. List the prime factors of o.
1789
Let z(y) be the second derivative of y**4/6 - y**3/2 + 8*y**2 - 189*y. List the prime factors of z(4).
2, 3
Suppose 17*u = 19*u - 1010. Let q = u - 398. List the prime factors of q.
107
Let j = -4468 + 4618. Suppose -4*l - 254 = -1342. Let y = l - j. List the prime factors of y.
2, 61
Let q(x) = 1682*x**2 - 32*x + 68. List the prime factors of q(2).
2, 3, 11, 17
Suppose -392 = 32*y - 39*y. Suppose -y*l + 552 = -54*l. List the prime factors of l.
2, 3, 23
Let w(d) = d**3 - 9*d**2 + 9*d - 6. Let k be w(8). Suppose -y + 806 = -5*t + y, 0 = -4*t - k*y - 652. What are the prime factors of (t/(-4))/(7/14)?
3
Let f(w) = w + 13. Let a = -48 + 35. Let g be f(a). What are the prime factors of 58/2 - g/3?
29
Suppose 2*r + 13 = -q + 2*q, 2*q = -4*r - 14. Suppose 4*l = 5*d - 5125, q*l = 2*l. List the prime factors of d.
5, 41
Let y be ((-5)/(-15))/(1/81). Let p be -2*15/18*-3. Suppose -268 = -p*r + y. List the prime factors of r.
59
Suppose 12 = -2*i - 2. Let s(j) = 4*j**2 - 7*j - 11. Let z(o) = 5*o**2 - 8*o - 12. Let p(c) = 4*s(c) - 3*z(c). What are the prime factors of p(i)?
3, 23
Let o = -1042 - -1042. Suppose 2 = -4*f + 2*f, -2*w - 2*f + 138 = 0. Suppose o = 12*z + w - 850. What are the prime factors of z?
5, 13
Let g(z) = 20*z**2 - 5*z + 2. Suppose -i - 7 = -2*t, t + 0*i + 1 = -i. Let c be g(t). What are the prime factors of (6 - 8)/(c/74 + -1)?
2, 37
Let b(i) = 5*i**3 - 10*i**2 - 10*i - 1. Let x be b(-5). Let s = x + 1393. List the prime factors of s.
3, 7
Let j be ((-12)/24)/(1/(-26)). Suppose -j*k + 336 = -12*k. What are the prime factors of k?
2, 3, 7
Let m(j) = 12*j**2 - 21*j + 642. List the prime factors of m(18).
2, 3, 173
Let o(j) = 6*j**3 - 5*j**2 + 10*j - 26. Let y(b) = -8*b**2 + 81*b - 4. Let w be y(10). What are the prime factors of o(w)?
2, 5, 23
Suppose -26*x = -125*x + 764181. What are the prime factors of x?
3, 31, 83
Let t = 24231 - 7008. What are the prime factors of t?
3, 5741
Let m(r) = 2*r**2 + 2*r - 8. Let x be m(-3). Suppose -111 = -x*j + 121. What are the prime factors of j?
2, 29
Let o(b) = 160*b + 20. Let l = 246 - 245. What are the prime factors of o(l)?
2, 3, 5
Suppose -3*v + 19 = 5*j - 4*v, j - 11 = 2*v. Suppose -25 = -5*s, -10*q + j*s = -11*q + 435. List the prime factors of q.
2, 3, 5, 7
Let f(n) = -n**3 + 11*n**2 + 12*n - 21. Let j be f(12). Let h be 1 + j/15 + 26/(-10). Let o = h - -34. What are the prime factors of o?
31
What are the prime factors of -2 + (-16)/4 + 9871 - -9?
2, 4937
Let c be (-14)/(-4)*(-124)/217. Let y(z) = -197*z**3 - z**2 + z + 5. List the prime factors of y(c).
3, 5, 7
Suppose 54*j - 391851 - 980127 = 0. List the prime factors of j.
3, 941
Suppose -207*n - 69750 = -212*n - b, 0 = 5*n + 2*b - 69755. List the prime factors of n.
13, 29, 37
Let p(m) = 1 - 4*m**2 - 8*m + 6*m + 7*m**3 + 4*m**2. Let x be p(1). List the prime factors of 78/(-65)*(-220)/x.
2, 11
Let d = 1611 - 1661. Let s(h) = h**2 - 3. Let c be s(-6). Let v = c - d. What are the prime factors of v?
83
Let q be ((-3)/9)/(-6 - (-2541)/423). Let o = q - -131. What are the prime factors of o?
2, 3, 7
Suppose -65*y + 75*y = 5030. Let b = y - 316. What are the prime factors of b?
11, 17
Suppose -9*v + 60728 = -4*v + a, -3*a - 36444 = -3*v. List the prime factors of v.
2, 6073
Let n = 980 - 1723. Let k = -4 - -6. What are the prime factors of k/(-13) - n/13?
3, 19
Let a(u) be the second derivative of -u**3/3 + 131*u**2 + u - 97. List the prime factors of a(-41).
2, 43
Let a(c) = c**2 + 6*c + 11. Let t be a(-3). Suppose 4*q = 3*m - 8, -4 = 3*q + 2*m + t. List the prime factors of (141 - 5)*q/(-4).
2, 17
Let z = 5 - 8. What are the prime factors of (-6)/(-18) + ((-1984)/(-6) - z)?
2, 167
Suppose 47 = -k + 51, g = -3*k + 2523. List the prime factors of g.
3, 31
Suppose 18*i - 69483 - 1573827 = 0. List the prime factors of i.
5, 19, 31
Let t(i) = 79*i**2 + 79*i + 1005. What are the prime factors of t(-22)?
3, 463
Let s = 1046 + 1246. Suppose 134*t - 130*t = s. What are the prime factors of t?
3, 191
Let o(n) = n**2 + 10*n + 12. Let c be o(-9). Suppose 5*v - c*s = 977, -4*v + 592 = -v + 4*s. What are the prime factors of v?
2, 7
Let d(o) = -o**3 + 114*o**2 - 256*o - 792. List the prime factors of d(111).
3, 5, 11, 47
Suppose 2*v = 2, -5*v = 86*q - 87*q - 1. Suppose o - 5734 = -q*h - 1956, 2*h - 2*o = 1884. What are the prim
|
{
"pile_set_name": "DM Mathematics"
}
|
s the highest common divisor of 14078999 and 1602?
89
Calculate the greatest common factor of 2208 and 4916784.
48
What is the greatest common factor of 5 and 2248420?
5
What is the highest common factor of 4401568 and 10460?
2092
Calculate the greatest common divisor of 77490329 and 133.
7
Calculate the greatest common divisor of 175910 and 88375.
35
What is the greatest common factor of 3324 and 23933908?
1108
What is the highest common factor of 3743 and 19526509?
19
What is the highest common divisor of 81 and 252399402?
81
Calculate the greatest common divisor of 35927873 and 59.
59
Calculate the highest common divisor of 9005670 and 50.
10
Calculate the greatest common divisor of 1726252 and 2068.
44
Calculate the highest common divisor of 467129411 and 3605.
721
What is the highest common divisor of 4814 and 3955282?
166
Calculate the greatest common factor of 38 and 292125570.
38
Calculate the highest common divisor of 25132 and 194829547.
6283
What is the highest common divisor of 11093546 and 2247?
107
What is the highest common factor of 24136 and 48772?
4
What is the highest common divisor of 1358 and 74256798?
1358
What is the highest common factor of 6 and 3111258?
6
What is the greatest common factor of 3821670 and 2430?
90
Calculate the highest common factor of 558920 and 1449895.
785
What is the greatest common factor of 54 and 66466926?
54
What is the greatest common factor of 195 and 150747?
3
What is the greatest common factor of 102 and 5534367?
51
What is the greatest common divisor of 2333392285 and 35?
35
Calculate the greatest common factor of 47465 and 70023820.
4315
Calculate the greatest common divisor of 513 and 321366.
57
What is the greatest common factor of 10020 and 975?
15
What is the highest common factor of 5 and 27017?
1
What is the highest common divisor of 319196 and 3658724?
1604
Calculate the greatest common divisor of 4820 and 58174990.
2410
What is the highest common divisor of 1075040 and 3520?
160
Calculate the greatest common divisor of 616 and 193032.
56
Calculate the highest common divisor of 10800 and 6098800.
400
What is the highest common divisor of 4785 and 72232620?
435
Calculate the greatest common divisor of 58005233 and 42328.
5291
Calculate the greatest common factor of 376 and 758336.
8
What is the greatest common factor of 660 and 1744800?
60
What is the greatest common factor of 114 and 240233169?
57
What is the highest common factor of 1497213 and 189?
9
What is the highest common factor of 416 and 4234919?
13
Calculate the highest common divisor of 3914 and 57429710.
206
What is the highest common factor of 3830045 and 388?
97
Calculate the highest common factor of 3400930 and 1560.
130
What is the greatest common factor of 57942686 and 6339?
2113
Calculate the highest common divisor of 1117250 and 58.
2
Calculate the greatest common factor of 48 and 67862016.
48
What is the highest common divisor of 3415417 and 87?
29
Calculate the greatest common factor of 63 and 981301104.
63
What is the highest common factor of 65 and 1051621740?
65
What is the greatest common divisor of 920 and 993416?
184
Calculate the greatest common factor of 22926577 and 7688.
961
What is the greatest common factor of 208814541 and 159?
159
What is the highest common factor of 105906 and 355281?
57
Calculate the highest common divisor of 81344 and 2214.
82
What is the highest common divisor of 742182 and 1043?
7
What is the greatest common factor of 8 and 79215?
1
Calculate the highest common divisor of 8736145 and 2337320.
4115
What is the greatest common factor of 141 and 1129749?
3
What is the highest common factor of 792 and 14816472?
264
Calculate the highest common factor of 583 and 1906509.
11
Calculate the highest common divisor of 1212 and 1490154.
606
What is the greatest common divisor of 1768 and 9312124?
68
Calculate the greatest common divisor of 1956 and 92376338.
326
What is the greatest common divisor of 59228 and 15881060?
884
Calculate the greatest common factor of 25602830 and 110.
110
What is the greatest common factor of 107293 and 5719?
19
Calculate the highest common factor of 2100 and 1096295200.
700
Calculate the greatest common divisor of 20148048 and 432.
432
What is the highest common factor of 9336 and 61539411?
1167
What is the highest common divisor of 303 and 8836591?
101
Calculate the highest common divisor of 570766 and 34071828.
9674
What is the greatest common divisor of 637830 and 126?
18
What is the highest common divisor of 3475875 and 18975?
1725
What is the greatest common factor of 62899 and 1974217?
2029
Calculate the highest common divisor of 19733012 and 976.
244
Calculate the greatest common factor of 2378270 and 128750.
1030
What is the greatest common factor of 91874871 and 8613?
8613
What is the highest common divisor of 11 and 105337177?
11
What is the greatest common factor of 1078 and 108661322?
1078
Calculate the highest common divisor of 9693 and 60362619.
1077
What is the greatest common divisor of 11031 and 5711?
1
Calculate the highest common factor of 44948 and 74392.
68
What is the greatest common factor of 9264 and 1833?
3
Calculate the greatest common divisor of 12110945 and 28160.
55
Calculate the greatest common divisor of 170791 and 81350450.
8989
What is the highest common divisor of 117975 and 858?
429
What is the highest common factor of 134 and 10876?
2
Calculate the greatest common divisor of 27392 and 1440.
32
Calculate the greatest common factor of 3131303 and 559.
43
Calculate the greatest common divisor of 64009495 and 577.
577
What is the highest common divisor of 37732600 and 675?
25
Calculate the greatest common divisor of 16774356 and 4887.
543
What is the greatest common factor of 1012698 and 612?
18
Calculate the highest common divisor of 5 and 63183655.
5
What is the greatest common factor of 37348122 and 6606?
2202
Calculate the highest common divisor of 379537927 and 23.
23
What is the greatest common factor of 1195442 and 814511?
3097
Calculate the highest common divisor of 31599906 and 2652.
1326
What is the greatest common divisor of 29892681 and 1243?
113
Calculate the greatest common divisor of 579 and 202836824.
193
Calculate the greatest common divisor of 45593 and 21082.
127
What is the highest common divisor of 11401 and 24713?
13
What is the greatest common divisor of 68 and 162883069?
17
Calculate the highest common factor of 304756 and 244.
244
What is the greatest common divisor of 38813753 and 11?
11
What is the greatest common divisor of 81 and 559161?
9
Calculate the greatest common factor of 65726 and 633778.
118
Calculate the highest common factor of 1140 and 8821605.
285
Calculate the greatest common divisor of 63 and 5490597.
21
Calculate the highest common divisor of 1031681 and 192983.
133
What is the greatest common divisor of 381 and 39949374?
381
Calculate the highest common divisor of 8274 and 2055892.
394
What is the highest common divisor of 11833460 and 540?
20
What is the highest common factor of 7795 and 1080207715?
7795
Calculate the greatest common divisor of 129515456 and 1344.
448
Calculate the greatest common factor of 8283 and 51249.
33
What is the greatest common divisor of 1196976 and 13728?
528
Calculate the highest common divisor of 70 and 279037255.
35
What is the highest common divisor of 9022660 and 3582?
398
What is the highest common divisor of 6239 and 25075?
17
Calculate the highest common divisor of 2771 and 937669.
17
What is the greatest common divisor of 45 and 18674793?
9
Calculate the greatest common factor of 2607389 and 76627.
2071
What is the highest common divisor of 119 and 51571625?
119
What is the greatest common divisor of 4927 and 3614819?
13
Calculate the highest common divisor of 1703024 and 304.
16
Calculate the greatest common factor of 1 and 3017447.
1
Calculate the greatest common divisor of 97800 and 159414.
978
What is the greatest common factor of 4781573 and 749564?
1241
Calculate the greatest common divisor of 115376 and 34000.
16
Calculate the greatest common factor of 5493419149 and 13597.
13597
Calculate the highest common factor of 3000 and 115400.
200
What is the greatest common divisor of 653940 and 27270?
270
What is the greatest common fact
|
{
"pile_set_name": "DM Mathematics"
}
|
r and 1 f.
1/969
Calculate prob of picking 2 z, 1 n, and 1 m when four letters picked without replacement from {z: 3, a: 3, j: 6, m: 3, n: 2}.
9/1190
Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {b: 1, u: 1, g: 1, f: 1, v: 1}.
1/10
Four letters picked without replacement from sssmssssssssssssss. What is prob of picking 1 s and 3 m?
0
Four letters picked without replacement from kkks. What is prob of picking 1 s and 3 k?
1
Four letters picked without replacement from mddmmmxkhhkdmhxmhn. Give prob of picking 1 m, 1 d, 1 n, and 1 h.
2/85
Calculate prob of picking 1 n and 1 t when two letters picked without replacement from tyyonn.
2/15
Two letters picked without replacement from {y: 2, a: 3, n: 12}. Give prob of picking 2 y.
1/136
Three letters picked without replacement from bjmbwbbbbwmw. Give prob of picking 1 j, 1 b, and 1 w.
9/110
Four letters picked without replacement from tssststsssttstst. What is prob of picking 4 t?
1/52
Two letters picked without replacement from njittjhtjnthaanjjhj. What is prob of picking 1 i and 1 j?
2/57
Two letters picked without replacement from jczzjjjrjjr. Give prob of picking 1 c and 1 j.
6/55
Calculate prob of picking 2 c and 2 p when four letters picked without replacement from {p: 2, c: 8}.
2/15
Calculate prob of picking 3 m when three letters picked without replacement from mwmmmmwwmm.
7/24
Three letters picked without replacement from {f: 2, d: 3}. Give prob of picking 1 d and 2 f.
3/10
Three letters picked without replacement from exje. Give prob of picking 1 e, 1 x, and 1 j.
1/2
What is prob of picking 1 c and 1 r when two letters picked without replacement from kwwkkkwcrkwwcic?
1/35
Three letters picked without replacement from {m: 1, l: 1, d: 2, p: 2, b: 1}. Give prob of picking 1 d, 1 m, and 1 l.
2/35
Two letters picked without replacement from {h: 3, x: 7}. Give prob of picking 2 h.
1/15
Two letters picked without replacement from {w: 1, v: 1, q: 1, m: 5, i: 1}. Give prob of picking 1 v and 1 w.
1/36
What is prob of picking 2 t and 1 d when three letters picked without replacement from {i: 3, d: 1, s: 3, r: 2, t: 6}?
3/91
Three letters picked without replacement from {j: 1, f: 3, u: 1, c: 6, e: 2, q: 2}. Give prob of picking 1 j and 2 e.
1/455
Three letters picked without replacement from dddffdddfdd. What is prob of picking 2 d and 1 f?
28/55
Four letters picked without replacement from {t: 6, n: 2, d: 1, k: 5, g: 2}. Give prob of picking 1 d, 2 k, and 1 t.
3/91
What is prob of picking 1 t, 2 e, and 1 r when four letters picked without replacement from ftrfefeueu?
1/70
What is prob of picking 2 o and 1 d when three letters picked without replacement from {o: 3, g: 1, d: 3}?
9/35
Four letters picked without replacement from axaaxxxaxaxax. Give prob of picking 2 x and 2 a.
63/143
What is prob of picking 2 d and 1 h when three letters picked without replacement from {b: 1, o: 3, k: 1, d: 2, h: 3}?
1/40
Three letters picked without replacement from lcdjldcllll. Give prob of picking 3 l.
4/33
Four letters picked without replacement from iigkuec. Give prob of picking 1 e, 1 k, 1 c, and 1 i.
2/35
Calculate prob of picking 3 n and 1 f when four letters picked without replacement from {k: 5, n: 4, f: 2}.
4/165
What is prob of picking 1 h and 1 s when two letters picked without replacement from shasvxlshlxaxs?
8/91
What is prob of picking 1 v and 3 d when four letters picked without replacement from dduddddyydvvdd?
24/143
What is prob of picking 1 g and 1 r when two letters picked without replacement from {r: 9, g: 3}?
9/22
What is prob of picking 2 a when two letters picked without replacement from laaaaaaajaa?
36/55
What is prob of picking 1 v and 2 u when three letters picked without replacement from uvu?
1
Two letters picked without replacement from oogooooooooooooooooo. What is prob of picking 1 g and 1 o?
1/10
Three letters picked without replacement from {k: 3, j: 9}. What is prob of picking 3 j?
21/55
Four letters picked without replacement from gtohhohjhhojohog. Give prob of picking 1 t and 3 h.
1/91
Two letters picked without replacement from qpwwwwqpwqppwwwwww. What is prob of picking 1 q and 1 p?
4/51
Three letters picked without replacement from bbbskstktkbbksbkbbk. What is prob of picking 2 t and 1 s?
1/323
What is prob of picking 1 w and 2 x when three letters picked without replacement from {x: 3, m: 6, w: 2, q: 1}?
3/110
What is prob of picking 1 m and 1 g when two letters picked without replacement from cccomccccccg?
1/66
Three letters picked without replacement from {y: 2, z: 1, c: 2, x: 9}. Give prob of picking 1 c, 1 x, and 1 y.
9/91
Two letters picked without replacement from {g: 4}. Give prob of picking 2 g.
1
What is prob of picking 1 j, 1 x, and 1 z when three letters picked without replacement from {v: 1, k: 2, z: 3, j: 1, x: 3}?
3/40
Calculate prob of picking 3 d and 1 q when four letters picked without replacement from zdzddqdzzdzoddqzz.
1/34
Four letters picked without replacement from {b: 2, i: 16}. Give prob of picking 1 b and 3 i.
56/153
Calculate prob of picking 1 v and 2 h when three letters picked without replacement from ehevchhhh.
5/42
Two letters picked without replacement from {d: 5, w: 8, p: 1, v: 2, l: 3}. Give prob of picking 2 w.
28/171
Two letters picked without replacement from ccizdzcwdziz. Give prob of picking 1 d and 1 z.
4/33
Calculate prob of picking 2 a when two letters picked without replacement from pmppppppmmpppaa.
1/105
What is prob of picking 1 c and 1 h when two letters picked without replacement from shcss?
1/10
Two letters picked without replacement from {k: 2, x: 1, l: 1, g: 1, p: 1, s: 1}. Give prob of picking 2 k.
1/21
Three letters picked without replacement from {x: 4, c: 6, e: 3, i: 1, g: 1}. Give prob of picking 2 x and 1 g.
6/455
Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {f: 5, y: 1, p: 2, t: 5, e: 3}.
1/12
Two letters picked without replacement from ijjijvjqmbvjjjmji. Give prob of picking 2 v.
1/136
Four letters picked without replacement from {e: 2, p: 5, g: 2, v: 7, s: 2}. Give prob of picking 1 s, 1 e, and 2 v.
7/255
Four letters picked without replacement from {n: 3, d: 13}. Give prob of picking 1 d and 3 n.
1/140
Four letters picked without replacement from {n: 12, p: 1}. Give prob of picking 4 n.
9/13
Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {a: 2, y: 5}.
10/21
Calculate prob of picking 2 l, 1 y, and 1 s when four letters picked without replacement from {l: 8, s: 1, y: 8}.
8/85
Two letters picked without replacement from {i: 3, j: 9}. What is prob of picking 2 i?
1/22
What is prob of picking 1 a and 1 m when two letters picked without replacement from wmmomomnaaaxaoaam?
15/68
Two letters picked without replacement from httttthttttthttththt. What is prob of picking 2 t?
21/38
Calculate prob of picking 2 d when two letters picked without replacement from dssswwwsdwswdwwwd.
3/68
Calculate prob of picking 1 p and 3 x when four letters picked without replacement from pbppxxpxppx.
4/55
Calculate prob of picking 2 d and 1 z when three letters picked without replacement from {s: 1, z: 1, d: 2}.
1/4
Two letters picked without replacement from sfffs. Give prob of picking 1 f and 1 s.
3/5
Two letters picked without replacement from {q: 1, m: 1, g: 1, o: 1, l: 1}. Give prob of picking 1 l and 1 o.
1/10
Four letters picked without replacement from {b: 5, v: 7}. What is prob of picking 4 v?
7/99
Two letters picked without replacement from dvvvvvdddd. What is prob of picking 2 v?
2/9
What is prob of picking 1 t and 2 h when three letters picked without replacement from {f: 1, t: 2, h: 4}?
12/35
Four letters picked without replacement from {p: 4, b: 2, s: 1, r: 1}. Give prob of picking 1 r, 1 s, and 2 p.
3/35
What is prob of picking 1 q and 3 m when four letters picked without replacement from mmmmommokcqmmmmwkmo?
55/1292
What is prob of picking 1 z and 1 c when two letters picked without replacement from ggzzzvvgggzgggggcgc?
8/171
What is prob of picking 1 n, 1 q, and 1 x when three letters picked without replacement from {c: 2, n: 1, q: 1, j: 2, x: 1}?
1/35
What is prob of picking 2 p when two letters picked witho
|
{
"pile_set_name": "DM Mathematics"
}
|
base 14
-b
-77 (base 10) to base 16
-4d
8 (base 11) to base 10
8
-5 (base 15) to base 10
-5
Convert -20 (base 4) to base 2.
-1000
Convert 35 (base 16) to base 2.
110101
What is -a9 (base 11) in base 2?
-1110111
What is -2110 (base 3) in base 11?
-60
What is 111 (base 3) in base 13?
10
10 (base 6) to base 12
6
32 (base 13) to base 15
2b
-1 (base 10) to base 6
-1
What is 1 (base 9) in base 14?
1
101 (base 2) to base 13
5
Convert -20 (base 5) to base 12.
-a
311 (base 6) to base 16
73
49 (base 12) to base 2
111001
Convert 2c (base 16) to base 14.
32
-c (base 14) to base 7
-15
1 (base 12) to base 16
1
-2 (base 3) to base 9
-2
Convert -2 (base 10) to base 4.
-2
What is -1111 (base 3) in base 6?
-104
Convert -262 (base 10) to base 7.
-523
What is 433 (base 5) in base 10?
118
Convert 7 (base 14) to base 10.
7
5 (base 14) to base 13
5
-1202 (base 3) to base 14
-35
1 (base 3) to base 2
1
Convert 16 (base 14) to base 10.
20
30 (base 12) to base 13
2a
18 (base 9) to base 5
32
-62 (base 7) to base 4
-230
Convert 6 (base 14) to base 13.
6
-2 (base 5) to base 4
-2
Convert -6 (base 16) to base 12.
-6
103 (base 5) to base 7
40
What is 50 (base 7) in base 8?
43
-10 (base 15) to base 5
-30
Convert 2 (base 4) to base 2.
10
Convert -1000011 (base 2) to base 6.
-151
132 (base 6) to base 10
56
Convert 2 (base 15) to base 5.
2
What is b9 (base 16) in base 2?
10111001
What is -81 (base 10) in base 4?
-1101
What is 48 (base 9) in base 2?
101100
-4 (base 12) to base 11
-4
Convert 6 (base 8) to base 13.
6
-1001001 (base 2) to base 15
-4d
3 (base 6) to base 7
3
Convert -2 (base 9) to base 16.
-2
Convert 1 (base 5) to base 3.
1
What is -15 (base 13) in base 12?
-16
What is 3 (base 7) in base 10?
3
What is -1a (base 15) in base 8?
-31
0 (base 6) to base 10
0
Convert 20 (base 6) to base 14.
c
What is 0 (base 14) in base 16?
0
What is -9 (base 11) in base 15?
-9
3 (base 11) to base 12
3
Convert 10 (base 7) to base 5.
12
What is 98 (base 10) in base 15?
68
What is -32 (base 11) in base 2?
-100011
What is -32 (base 7) in base 12?
-1b
-21 (base 9) to base 13
-16
Convert 58 (base 15) to base 5.
313
What is 241 (base 6) in base 15?
67
Convert 30 (base 9) to base 3.
1000
161 (base 9) to base 3
12001
What is -82 (base 9) in base 16?
-4a
Convert -2 (base 7) to base 10.
-2
What is 10 (base 12) in base 8?
14
-3 (base 13) to base 12
-3
Convert -10 (base 3) to base 6.
-3
6 (base 14) to base 12
6
What is -1 (base 2) in base 16?
-1
-22 (base 4) to base 2
-1010
What is -31 (base 7) in base 16?
-16
-361 (base 7) to base 2
-10111110
What is -278 (base 10) in base 16?
-116
10 (base 8) to base 15
8
What is -11 (base 4) in base 13?
-5
2322 (base 4) to base 11
15a
Convert -11 (base 4) to base 13.
-5
Convert 0 (base 15) to base 9.
0
What is 5 (base 8) in base 15?
5
Convert 2020 (base 3) to base 16.
3c
Convert 3 (base 9) to base 13.
3
21102 (base 3) to base 15
d5
Convert b (base 14) to base 15.
b
0 (base 8) to base 14
0
Convert 84 (base 10) to base 3.
10010
173 (base 9) to base 10
147
What is -9 (base 12) in base 6?
-13
Convert -2 (base 11) to base 14.
-2
94 (base 10) to base 9
114
Convert -2 (base 16) to base 3.
-2
Convert 3 (base 8) to base 13.
3
Convert 2 (base 15) to base 6.
2
What is 13 (base 7) in base 5?
20
Convert 11110010 (base 2) to base 4.
3302
536 (base 7) to base 10
272
1242 (base 5) to base 15
d2
What is 8 (base 14) in base 8?
10
What is -100 (base 6) in base 3?
-1100
Convert -6 (base 10) to base 6.
-10
76 (base 12) to base 11
82
8 (base 9) to base 7
11
153 (base 7) to base 4
1113
What is 10 (base 3) in base 10?
3
What is 3 (base 14) in base 11?
3
What is -15 (base 10) in base 15?
-10
What is -38 (base 9) in base 15?
-25
Convert 41 (base 13) to base 3.
1222
What is -432 (base 5) in base 2?
-1110101
Convert 1 (base 16) to base 9.
1
What is -2c (base 16) in base 6?
-112
-3 (base 15) to base 6
-3
What is -515 (base 6) in base 2?
-10111111
Convert -1 (base 2) to base 8.
-1
24 (base 5) to base 16
e
Convert 1000110 (base 2) to base 16.
46
What is 0 (base 12) in base 7?
0
Convert 1 (base 5) to base 4.
1
1010 (base 2) to base 13
a
What is -2 (base 11) in base 15?
-2
0 (base 2) to base 15
0
Convert 6 (base 7) to base 10.
6
Convert 14 (base 5) to base 16.
9
What is -9 (base 11) in base 9?
-10
What is -a6 (base 16) in base 5?
-1131
1 (base 3) to base 10
1
What is 101 (base 5) in base 8?
32
Convert 251 (base 7) to base 11.
112
-3 (base 4) to base 11
-3
Convert -77 (base 15) to base 3.
-11011
-10 (base 14) to base 3
-112
What is 0 (base 2) in base 3?
0
-2 (base 15) to base 10
-2
What is 14 (base 10) in base 6?
22
What is -146 (base 9) in base 4?
-1323
What is -140 (base 5) in base 15?
-30
What is -9 (base 15) in base 6?
-13
24 (base 5) to base 10
14
4 (base 14) to base 10
4
3 (base 12) to base 9
3
-120 (base 3) to base 14
-11
What is -71 (base 16) in base 4?
-1301
-11 (base 14) to base 6
-23
Convert 33 (base 6) to base 16.
15
Convert -50 (base 10) to base 15.
-35
What is 0 (base 7) in base 6?
0
Convert -110212 (base 3) to base 2.
-101011011
What is 300 (base 6) in base 13?
84
-99 (base 10) to base 16
-63
a (base 16) to base 5
20
-28 (base 10) to base 8
-34
16 (base 10) to base 5
31
Convert -bd (base 15) to base 9.
-217
What is 441 (base 7) in base 10?
225
Convert 1 (base 7) to base 3.
1
10001 (base 3) to base 16
52
What is -2 (base 7) in base 9?
-2
40 (base 7) to base 6
44
Convert 4 (base 11) to base 9.
4
What is 47 (base 14) in base 10?
63
What is 1 (base 13) in base 2?
1
-5 (base 16) to base 3
-12
Convert -1a (base 12) to base 11.
-20
What is 131 (base 13) in base 16?
d1
What is 14 (base 6) in base 12?
a
Convert 5d (base 14) to base 12.
6b
Convert -67 (base 16) to base 15.
-6d
What is 6 (base 9) in base 16?
6
-553 (base 6) to base 14
-113
-102 (base 3) to base 14
-b
Convert 3 (base 9) to base 14.
3
What is 432 (base 7) in base 8?
333
2421 (base 5) to base 15
191
What is -1 (base 11) in base 4?
-1
18 (base 14) to base 10
22
-205 (base 8) to base 13
-a3
What is -11 (base 14) in base 15?
-10
-14 (base 7) to base 8
-13
-142 (base 5) to base 15
-32
What is -39 (base 15) in base 4?
-312
What is -22 (base 14) in base 8?
-36
10 (base 2) to base 8
2
What is -20 (base 3) in base 12?
-6
-4 (base 11) to base 3
-11
What is -3 (base 8) in base 6?
-3
Convert -1210 (base 3) to base 10.
-48
What is 103 (base 12) in base 2?
10010011
6 (base 14) to base 2
110
Convert -3 (base 15) to base 7.
-3
Convert -12222 (base 3) to base 8.
-241
What is 23 (base 4) in base 11?
10
-120 (base 4) to base 9
-26
0 (base 8) to base 2
0
Convert 51 (base 10) to base 15.
36
-11 (base 16) to base 10
-17
What is 136 (base 12) in base 16?
ba
Convert 100 (base 2) to base 5.
4
Convert 48 (base 10) to base 8.
60
Convert -2 (base 15) to base 10.
-2
-4 (base 11) to base 6
-4
Convert 111011 (base 2) to base 14.
43
221 (base 3) to base 4
121
-105 (base 6) to base 13
-32
What is -143 (base 7) in base 14?
-5a
-9 (base 14) to base 6
-13
What is -4 (base 8) in base 13?
-4
What is 112 (base 3) in base 10?
14
28 (base 13) to base 11
31
Convert 204 (base 6) to base 7.
136
What is -2e (base 16) in base 4?
-232
2 (base 10) to base 12
2
Convert -10 (base 11) to base 9.
-12
Convert 13 (base 5) to base 3.
22
Convert 28 (base 15) to base 5.
123
1c (base 16) to base 11
26
Convert 2 (base 16) to base 3.
2
Convert 2 (base 15) to base 7.
2
Convert -1 (base 3) to base 15.
-1
20 (base 9) to base 15
13
11111 (base 3) to base 6
321
Convert 10012 (base 4) to base 16.
106
What is -103 (base 8) in base 12?
-57
What is -156 (base 7) in base 8?
-132
What is -303 (base 6) in base 5?
-421
Convert 11 (base 11) to base 7.
15
Convert -243 (base 9) to base 2.
-11001001
Convert -1111 (base 2) to base 13.
-12
What is -306 (base 10) in base 6?
-1230
Convert 5 (base 15) to base 13.
5
What is -1001 (base 2) in base 8?
-11
What is 12 (base 11) in base 2?
1101
What is 30 (base 7) in base 3?
210
1 (base 6) to base 12
1
Convert 117 (base 15) to base 3.
100011
Convert 25 (base 11) to base 4.
123
What is 10 (base 8) in base 12?
8
Convert -2 (base 8) to base 13.
-2
-46 (base 8) to base 6
-102
b4 (base 12) to base 7
253
Convert 1 (base 10) to base 16.
1
-3 (base 12) to base 7
-3
What is 1 (base 7) in base 11?
1
10 (base 2) to base 13
2
2 (base 7) to base 10
2
What is 0 (base 7) in ba
|
{
"pile_set_name": "DM Mathematics"
}
|
389*a**4 + 0).
135*a**5
Expand (-14 - 2 - 1)*(4*p**2 - p**2 - p**2).
-34*p**2
Expand (-484 + 8*v**2 + 484)*(v + 2*v - v).
16*v**3
Expand 18*u**5 - 4*u**5 + u**5 + (4*u**3 - 3*u**3 - 2*u**3)*(2*u**2 + u**2 - 4*u**2) - 5*u**5 + u**5 + 2*u**5 + 14*u - 14*u + 4*u**5.
18*u**5
Expand (3*q + 2*q - 4*q)*(-4 - 3 + 2 + (0 + 2 - 3)*(0 - 3 + 1) + 0 - 2 + 1 + 1 + 3 - 3) + 0 + q + 0.
-2*q
Expand (13*w + 11*w**2 - 25*w + 15*w)*(-2*w**2 + 0*w**2 + 0*w**2).
-22*w**4 - 6*w**3
Expand (a + a + 3*a)*(-2 + 2 + 1) + 2 - 2 - a - 2 - 2*a + 2.
2*a
Expand (-h**2 - 2*h**2 + 5*h**2)*(-h + 3*h + 17 + 2).
4*h**3 + 38*h**2
Expand (-4*v**2 - 6 + 6)*(-7 - 6 - 1)*(3 - 5 + 4).
112*v**2
Expand (0 - 1 - 1)*(-3*w + 2*w - w) + (-2 + 2 + 4)*(5 - 5 + 3*w).
16*w
Expand (-2*i**2 + i**2 - i**2)*(-16 - 4 - 4)*(-i + 1 - 1).
-48*i**3
Expand (10*f - 11 + 11)*(4*f + f - 3*f)*(2 - 5 - 1).
-80*f**2
Expand (-2*q**2 + 2*q**2 - 2*q**5)*(2 - 4 + 3).
-2*q**5
Expand (14*y**2 - 25 + 25)*(0*y**2 + y**2 - 2*y**2 - 2*y**2 + 7*y**2 - 4*y**2 + (-2*y + 0*y + 4*y)*(y + 0*y + y) + y**2 - 4*y**2 + 4*y**2).
70*y**4
Expand (-4 + 6*g + 4)*(3 + 8 - 5).
36*g
Expand 2*t**3 - 7*t**3 - t**4 + t**3 + (1 + t - 1)*(t**3 + 4*t**3 - 3*t**3).
t**4 - 4*t**3
Expand 0*h**4 - 2*h**4 + h**4 + (0 - 2 + 1)*(-h**4 + h**4 + h**4) + h**4 - 4*h**4 + h**4 + h**4 - h**4 + 2*h**4 + 0*h**4 - 6*h**4 + 3*h**4 - 2 + 3 - 8*h**4 + 0.
-13*h**4 + 1
Expand (0*u + 0*u - 3*u)*(3*u**4 + 0*u**2 - 3*u**2 - u**4).
-6*u**5 + 9*u**3
Expand (-b**2 + 3*b**2 - b**2)*(-42*b**2 + 21*b**2 - 4*b + 3*b).
-21*b**4 - b**3
Expand -11*p**2 - 2*p**3 + 8 + 11*p**2 + (-p - 1 + 1)*(p**2 + p**2 - p**2).
-3*p**3 + 8
Expand (1 - 1 - 2*k)*(14*k**4 + 7*k**3 - 7*k**3).
-28*k**5
Expand (1 - 5 - 2)*(-w + w - 2*w).
12*w
Expand (-1 + 3 - 4)*(-l**5 + l**5 + 2*l**4 + l**5).
-2*l**5 - 4*l**4
Expand (-3*q + 2*q + 2*q + (2*q - q + q)*(0 + 2 + 1) - 3*q + q + 0*q)*(4 + 3*q**2 - 4).
15*q**3
Expand (2 - 1 + 0)*((-2 + 2 - 2)*(3*s + 2*s - 3*s) + 0*s - s + 2*s + 2*s - 2*s - s).
-4*s
Expand 5*k**3 - 3*k**3 - k**3 + (0*k**2 - 4*k**2 + 3*k**2)*(2*k + 0 + 0) + 7*k**3 - 12*k**2 - 6*k**3 - 3*k**3.
-3*k**3 - 12*k**2
Expand (1 - 4 + 5)*(3 - 3 - v)*(0*v - 3*v + 6*v).
-6*v**2
Expand (0*x + 2*x - 3*x)*(2*x - 20*x**2 - 3*x - 1 - 1).
20*x**3 + x**2 + 2*x
Expand (2*t**3 - 3*t**2 + 3*t**2)*(-3*t**2 + 2*t**2 + 3*t**2) - t**5 - 2*t + 2*t + 3*t**5 + 3*t**5 - 4*t**5 + (4*t**3 - 6*t**3 - t**3)*(-2*t - t**2 + 2*t).
8*t**5
Expand (-1 + 2 + y - 3*y)*(y - 4 + 4).
-2*y**2 + y
Expand (-1 + 1 - 2)*(-4 + 2*t**2 + 4) + 4 - 4 + 30*t**2.
26*t**2
Expand (b**2 - 4*b**2 + b**2)*(20 + 11 - 20)*(-3 + 4 + 0).
-22*b**2
Expand (2 - 2 + x)*(-1 - x + 1).
-x**2
Expand -5 - m + 5 + (3*m - 4*m - m)*(0 + 1 - 3) + 2*m - 2*m - 2*m + (2 + 2 - 3)*(0*m - 3*m + m) + 0*m - m + 2*m + 5*m + 0*m - m - 25 + 25 - 7*m.
-3*m
Expand (4 + 2 - 3)*(4*n - 3*n**2 - 4*n) - 2*n**2 + 3 - 3 + (-n + n + n)*(2*n - 2*n - n).
-12*n**2
Expand (-26*x - 15*x + 6*x)*(3*x - 2*x**2 - 3*x).
70*x**3
Expand (z - 6*z + 0*z)*(-4 + 2*z + 4) + (-2*z + 2*z - 2*z)*(-2*z + 3*z + z) + 2*z**2 - 4*z + 4*z.
-12*z**2
Expand -q**4 - q**4 + 0*q**4 + (0 + 0 + q**2)*(q + q**2 - q) + 0*q**3 + 0*q**3 - 2*q**4 + (-4*q**4 - 2*q**4 + 0*q**4)*(0 + 3 - 4).
3*q**4
Expand (-j**2 + 4*j**2 - 4*j**2)*(9*j - 13*j + 32*j)*(-2 + 2 - 2*j).
56*j**4
Expand (2 - 2 - 4)*(2 + 10*s - 7 - 7*s).
-12*s + 20
Expand (-10 - 17 + 18)*(-w**5 - 2*w**5 + 5*w**5).
-18*w**5
Expand (2*u**3 + 34*u - 34*u)*(u + 5*u - u).
10*u**4
Expand (6*l - 4*l - 3*l)*(l**4 - 3*l**4 + 0*l**4) + (3*l**2 - 3*l**2 - 2*l**5)*(6 - 4 - 4).
6*l**5
Expand -2*l**4 + 3 - 3 + (0*l + 2*l - 4*l - 3*l - l + 5*l + (-1 + 0 - 1)*(-l + 2*l + 0*l) - 2*l - 3 + 3 - 3*l - l - 3*l)*(4*l**3 + 0*l**3 - 5*l**3).
10*l**4
Expand (-2*l**2 + 3*l**2 - 2*l**2)*(15*l**3 + 5*l**3 - 6*l**3).
-14*l**5
Expand (q**3 - q**3 - 2*q**4)*(-2*q + 3*q - 2*q) + q**3 + 2*q**5 - q**3 + 2*q**5 + 9*q**5 - 3*q**5.
12*q**5
Expand s**2 - 2*s**2 + 2*s**2 + (3*s + s - 2*s)*(2 - 2 - s) - 7*s**2 - 15*s**2 + 2*s**2.
-21*s**2
Expand (-3 + 0 + 2)*(-1 + 1 - 2)*(-17*x - 32*x + 16*x)*(0 + 0 + 1).
-66*x
Expand (-2*q**3 + q**3 + 3*q**3)*(1 + 2 - 2)*(6 - 5 + 5).
12*q**3
Expand (-34 + 138*v - 4 - 137*v)*(2 - 6 + 3).
-v + 38
Expand (-6 + 1 + 4 - 2*n**2)*(-4 - 8 + 7).
10*n**2 + 5
Expand (3*i**2 + 0*i**3 - 4*i**3 - 1 + 2*i**3)*(0 + 8 - 1).
-14*i**3 + 21*i**2 - 7
Expand (3*o - o - 4*o)*(-2 - o + 2) - 3*o**2 + 4*o**2 + 6*o**2.
9*o**2
Expand (-1141 - 64*j**2 + 1141)*(4*j - j - j)*(-5 - 1 + 5)*(0*j - 3*j + 2*j).
-128*j**4
Expand (-17 - 4 + 7)*(-i**3 - i**3 + 3*i**3 + (3 - 2*i**2 - 3)*(0 + 0 + 2*i) - 6*i**3 + 2*i**3 + 2*i**3 - 1 + 2*i**3 + 1).
42*i**3
Expand (2 - u**2 + 2*u**2 + 2*u**2)*(9*u**2 + 2*u**3 - 9*u**2).
6*u**5 + 4*u**3
Expand ((z + 4 - 4)*(5*z - 2*z - 2*z) - 2*z**2 - 3*z**2 - z**2)*(0 - 5 + 2).
15*z**2
Expand (4 + 0 - 2)*(-n + 6*n - 2*n)*(-3 + 1 - 1)*(-1 - 2 + 5).
-36*n
Expand (0*u**2 - 3*u**2 + 4*u**2)*(-5*u**3 - 1 + 1 - 2).
-5*u**5 - 2*u**2
Expand -2*s**4 + 2*s**4 + s**4 + (-s**3 + s**3 - s**3)*(-5*s + 5*s - s) + 2*s - 1 + 1 + s**4.
3*s**4 + 2*s
Expand 3*y - y + 0*y + 5 + 0*y - 4 + 4*y + y + 0*y + y + y - y - y + (-3 + 2 - 1)*(-1 + 1 + y).
5*y + 1
Expand (f + f + 0*f)*(4*f - f - 4*f)*(f + f - 3*f).
2*f**3
Expand 4*y**2 + 3*y**2 + 2*y**2 + (1 + 3 - 2)*(2*y - 3*y**2 - 2*y).
3*y**2
Expand (-2 - 3 + 4)*(5*w**2 - 2*w**2 - 5*w**2).
2*w**2
Expand 2*l**4 + 2*l**4 - 3*l**4 + (9*l + l + 6*l)*(0*l**3 - 2*l**3 + l**3).
-15*l**4
Expand (-5*b + 2*b + 2*b)*(8*b**2 + 2*b**2 + 5*b**2 + (0*b - 3*b + b)*(2*b + 1 - 1)).
-11*b**3
Expand (318 - 13*d**2 - 318)*(0 + 0 - 2).
26*d**2
Expand (-1 + 0 - 1)*(0 + 1 + 1)*(2 + 15*d**2 + d**2 - 8*d**2).
-32*d**2 - 8
Expand (2*l**2 - l + l - 3*l + 3*l + 2*l**2 + (-l**2 + 0 + 0)*(-3 - 1 + 2))*(3*l**3 + 12*l**3 + 3*l**3).
108*l**5
Expand (-6 + 4 + 4)*(-f - 46 + 46)*(0*f**2 - 4*f**2 + 2*f**2).
4*f**3
Expand (3*w**2 - 2*w**2 - w + 3*w)*(3*w - 4*w + 7*w).
6*w**3 + 12*w**2
Expand (8*k**3 - 17*k + 17*k)*(0*k**2 - 3*k**2 + 4*k**2) - k**4 + k**4 + 2*k**5.
10*k**5
Expand (-6*i + 2*i - 7*i + 2)*(i - i**2 - i).
11*i**3 - 2*i**2
Expand (2*q - 5*q + 2*q)*(0 + 0 + q) - 3 - 8*q**2 + 3.
-9*q**2
Expand (-9*p + 10 - 10)*(2 - 7 + 3)*(-3*p - 3*p + 4*p) + (-3*p - 3*p + 5*p)*(-4*p + 0*p + 3*p).
-35*p**2
Expand -c**5 - 3 - 2*c**5 + 2 + (-c + 2*c + 0*c)*(c**3 - c**3 - 5*c**4 + 2*c**4 - 4*c**4 + 4*c**4 + (c**2 - c**2 + 2*c**3)*(-3 - c + 3) - c**3 - 2*c**4 + c**3).
-10*c**5 - 1
Expand -f**4 + f**4 - 2*f**5 + (2 + f - 2)*(34*f - 2*f**4 - 34*f) + 0*f**2 + 2*f + f**2 + 0*f**2 - 2*f**5.
-6*f**5 + f**2 + 2*f
Expand (g + 3*g - 2*g)*(1 + 0 + 5)*(4 + 0 - 3)*(-2 + 3 + 0).
12*g
Expand (-2*u**3 + 2*u**3 + u**3 + 4 - 2*u**3 - 4 + 2*u**3 - 3*u**3 + 3*u**3 + (5 - 2 - 4)*(-u**3 - 3*u**3 + 2*u**3))*(2*u**2 + 11 - 11).
6*u**5
Expand 27*l**4 - 17*l**4 - 25*l**4 + (3*l + 0*l - 2*l)*(-3*l**3 + l**3 + l**3) + (-l**3 - 2 + 2)*(-2*l + 5*l - l).
-18*l**4
Expand ((-y + y + 2*y)*(0 + 2 - 5) + 3*y - 6*y + y)*((-3 + 1 - 1)*(0*y - y**3 + 0*y) - 6*y**3 + 3*y**3 + 2*y**3).
-16*y**4
Expand (5 - 3 - 4)*(-5*b**3 - 3*b**3 + 4*b**3) + 33*b - 33*b + 3*b**3.
11*b**3
Expand 1 - 1 - 2*j**3 + (3*j - 2*j**2 - 3*j)*(-2*j + 3*j - 6*j).
8*j**3
Expand 0 + y + 0 - 2*y + 2*y - y + (5 - 4 - 3)*(2 + y - 2) + y + 0*y - 3*y - 4*y - y + 4*y - 2 + 2 + y + 13*y - 5*y + 4*y + 2.
8*y + 2
Expand (-2*r + 5*r - 4*r)*(530*r**2 + 19*r**3 - 530*r**2).
-19*r**4
Expand -k**2 + 0*k**2 + 2*k**2 + (-6*k + 2*k + 2*k)*(0*k + 3*k - 2*k) + k**2 - 4*k**2 - k**2.
-5*k**2
Expand (2*a - a + 2*a)*(3 - 3 - 3*a)*(-3 + 3 + 1)*(-1 + 0 - 2).
27*a**2
Expand 13*r**4 - 7*r**4 + 11*r**4 + 0*r**4 + 2*r**4 - r**4 + (-3 + 3 - 2*r**4)*(4 - 5 + 0).
20*r**4
Expand (17*h + 5*h**2 - 17*h)*(3 - 4 + 0).
-5*h**2
Expand (1 + 2*a - 1)*(-2*a**2 + a**3 + 3*a**3 + a**2).
8*a**4 - 2*a**3
Expand (-2 + 9 + 0)*(2*y + 0*y - y)*(0 - 1 + 2).
7*y
Expand (2 - 2 + 8*z)*(-2*z + 2*z - z) + 0*z**2 + 0*z**2 + 2*z**2.
-6*z**2
Expand (-3 + 6 - 5)*(2*b**3 + 2*b**3 - 5*b**3) + (-1 - b**2 + 1)*(b + 0*b - 2*b) + (1 - 1 - 2)*(0*b**3 + 0*b**3 - b**3) + 4*b**3 - 4*b**3 + 2*b**3.
7*b**3
Expand (3*z**2 + z**2 - 3*z**2)*(-z**2 - 3*z**2 + 5*z**2) + (-4*z**3 + 4*z**3 - z**3)*(-z - 2*z + 0*z).
4*z**4
Expand (-3*s**2 - s + s)*(-22*s**2 - 84 + 41 + 45).
66*s**4 - 6*s**2
Expand (-4*d**3 - d**3 + 6*d**3)*(3 - 1 - 1)*(-2 - 3 + 3)*(3 - 2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
e thousands digit of 5485?
5
What is the tens digit of 71088?
8
What is the hundreds digit of 3266?
2
What is the hundreds digit of 13428?
4
What is the tens digit of 44615?
1
What is the units digit of 39719?
9
What is the hundreds digit of 280?
2
What is the thousands digit of 7534?
7
What is the thousands digit of 11518?
1
What is the hundreds digit of 8043?
0
What is the units digit of 12095?
5
What is the tens digit of 2349?
4
What is the ten thousands digit of 18166?
1
What is the units digit of 5240?
0
What is the tens digit of 88525?
2
What is the units digit of 3341?
1
What is the units digit of 4327?
7
What is the units digit of 1452?
2
What is the thousands digit of 5772?
5
What is the hundreds digit of 3622?
6
What is the units digit of 1595?
5
What is the units digit of 27553?
3
What is the hundreds digit of 403?
4
What is the thousands digit of 1990?
1
What is the thousands digit of 21535?
1
What is the hundreds digit of 46310?
3
What is the thousands digit of 2681?
2
What is the tens digit of 20044?
4
What is the tens digit of 5874?
7
What is the tens digit of 1143?
4
What is the hundreds digit of 105239?
2
What is the tens digit of 19277?
7
What is the thousands digit of 58910?
8
What is the hundreds digit of 390?
3
What is the units digit of 10712?
2
What is the hundreds digit of 6310?
3
What is the tens digit of 782?
8
What is the units digit of 1016?
6
What is the ten thousands digit of 29234?
2
What is the tens digit of 3044?
4
What is the hundreds digit of 1591?
5
What is the tens digit of 6723?
2
What is the tens digit of 171?
7
What is the thousands digit of 46864?
6
What is the tens digit of 546?
4
What is the tens digit of 81845?
4
What is the hundreds digit of 11208?
2
What is the thousands digit of 2031?
2
What is the tens digit of 1057?
5
What is the hundreds digit of 1603?
6
What is the tens digit of 2703?
0
What is the thousands digit of 2541?
2
What is the tens digit of 480?
8
What is the units digit of 1013?
3
What is the hundreds digit of 1459?
4
What is the tens digit of 564?
6
What is the units digit of 9120?
0
What is the units digit of 2446?
6
What is the thousands digit of 12207?
2
What is the units digit of 3055?
5
What is the thousands digit of 15876?
5
What is the tens digit of 70121?
2
What is the tens digit of 71027?
2
What is the units digit of 1606?
6
What is the tens digit of 1302?
0
What is the hundreds digit of 301?
3
What is the hundreds digit of 3603?
6
What is the hundreds digit of 29006?
0
What is the thousands digit of 8954?
8
What is the thousands digit of 4694?
4
What is the thousands digit of 120604?
0
What is the thousands digit of 1388?
1
What is the tens digit of 10122?
2
What is the ten thousands digit of 24138?
2
What is the ten thousands digit of 137054?
3
What is the tens digit of 3612?
1
What is the tens digit of 5046?
4
What is the tens digit of 891?
9
What is the tens digit of 9266?
6
What is the tens digit of 1106?
0
What is the thousands digit of 21239?
1
What is the units digit of 9805?
5
What is the tens digit of 15995?
9
What is the tens digit of 35134?
3
What is the hundreds digit of 967?
9
What is the hundreds digit of 8665?
6
What is the hundreds digit of 1635?
6
What is the thousands digit of 35143?
5
What is the tens digit of 9402?
0
What is the thousands digit of 36854?
6
What is the tens digit of 10243?
4
What is the ten thousands digit of 192519?
9
What is the hundreds digit of 2068?
0
What is the hundred thousands digit of 158705?
1
What is the units digit of 1820?
0
What is the hundreds digit of 5947?
9
What is the tens digit of 1062?
6
What is the units digit of 2533?
3
What is the units digit of 2173?
3
What is the thousands digit of 21462?
1
What is the thousands digit of 78928?
8
What is the tens digit of 468?
6
What is the tens digit of 928?
2
What is the hundreds digit of 110273?
2
What is the tens digit of 1073?
7
What is the units digit of 5056?
6
What is the units digit of 102?
2
What is the ten thousands digit of 74451?
7
What is the hundreds digit of 3145?
1
What is the tens digit of 197?
9
What is the units digit of 494?
4
What is the units digit of 29687?
7
What is the hundreds digit of 207?
2
What is the thousands digit of 5099?
5
What is the hundreds digit of 15744?
7
What is the tens digit of 93613?
1
What is the tens digit of 24456?
5
What is the ten thousands digit of 34622?
3
What is the thousands digit of 3972?
3
What is the tens digit of 4393?
9
What is the hundreds digit of 3370?
3
What is the hundreds digit of 9505?
5
What is the units digit of 35?
5
What is the thousands digit of 104321?
4
What is the thousands digit of 1208?
1
What is the thousands digit of 38240?
8
What is the units digit of 4460?
0
What is the units digit of 22375?
5
What is the tens digit of 29430?
3
What is the thousands digit of 1211?
1
What is the hundreds digit of 1028?
0
What is the tens digit of 1511?
1
What is the hundreds digit of 8157?
1
What is the hundreds digit of 21339?
3
What is the tens digit of 487?
8
What is the tens digit of 3953?
5
What is the thousands digit of 6065?
6
What is the units digit of 98931?
1
What is the tens digit of 2491?
9
What is the units digit of 4559?
9
What is the ten thousands digit of 106152?
0
What is the tens digit of 538?
3
What is the hundreds digit of 1838?
8
What is the hundreds digit of 280?
2
What is the hundreds digit of 4002?
0
What is the thousands digit of 23328?
3
What is the thousands digit of 6686?
6
What is the ten thousands digit of 14684?
1
What is the tens digit of 62489?
8
What is the tens digit of 750?
5
What is the units digit of 842?
2
What is the ten thousands digit of 34201?
3
What is the tens digit of 1901?
0
What is the units digit of 1161?
1
What is the units digit of 31020?
0
What is the tens digit of 8857?
5
What is the tens digit of 2550?
5
What is the hundreds digit of 1874?
8
What is the thousands digit of 9032?
9
What is the units digit of 2441?
1
What is the ten thousands digit of 29483?
2
What is the hundreds digit of 51653?
6
What is the thousands digit of 4638?
4
What is the hundreds digit of 4874?
8
What is the thousands digit of 1846?
1
What is the tens digit of 1539?
3
What is the hundred thousands digit of 176971?
1
What is the units digit of 129152?
2
What is the hundreds digit of 341?
3
What is the tens digit of 727?
2
What is the units digit of 381?
1
What is the units digit of 39846?
6
What is the hundreds digit of 813?
8
What is the thousands digit of 30720?
0
What is the thousands digit of 117387?
7
What is the thousands digit of 3878?
3
What is the units digit of 11883?
3
What is the tens digit of 588?
8
What is the tens digit of 3612?
1
What is the units digit of 1535?
5
What is the thousands digit of 1685?
1
What is the thousands digit of 138109?
8
What is the thousands digit of 6655?
6
What is the hundreds digit of 22375?
3
What is the units digit of 271?
1
What is the thousands digit of 122989?
2
What is the units digit of 6839?
9
What is the units digit of 66448?
8
What is the units digit of 29428?
8
What is the units digit of 363?
3
What is the hundreds digit of 4793?
7
What is the tens digit of 430?
3
What is the tens digit of 102570?
7
What is the tens digit of 5170?
7
What is the tens digit of 7837?
3
What is the units digit of 3871?
1
What is the tens digit of 905?
0
What is the ten thousands digit of 14139?
1
What is the units digit of 3023?
3
What is the units digit of 129?
9
What is the hundreds digit of 1047?
0
What is the hundreds digit of 4309?
3
What is the hundreds digit of 3657?
6
What is the hundreds digit of 152?
1
What is the hundreds digit of 2085?
0
What is the hundreds digit of 53462?
4
What is the units digit of 10203?
3
What is the hundreds digit of 8643?
6
What is the tens digit of 965?
6
What is the thousands digit of 1363?
1
What is the ten thousands digit of 31279?
3
What is the units digit of 24?
4
What is the thousands digit of 4846?
4
What is the hundreds digit of 495?
4
What is the thousands digit of 17586?
7
What is the ten thousands digit of 18170?
1
What is the units digit of 14351?
1
What is the thousands digit of 5756?
5
What is the tens digit of 56496?
9
What is the units digit of 114?
4
What is the tens digit of 7605?
0
What is the hu
|
{
"pile_set_name": "DM Mathematics"
}
|
'th term of 3027, 3025, 3023, 3021?
-2*z + 3029
What is the n'th term of 194, 203, 212, 221, 230, 239?
9*n + 185
What is the z'th term of -41239, -41241, -41245, -41251?
-z**2 + z - 41239
What is the j'th term of -21, -41, -61, -81?
-20*j - 1
What is the s'th term of -31, -141, -325, -583, -915?
-37*s**2 + s + 5
What is the j'th term of 24, 50, 80, 114, 152?
2*j**2 + 20*j + 2
What is the m'th term of 27, 48, 81, 132, 207, 312?
m**3 + 14*m + 12
What is the x'th term of -1, -21, -53, -97?
-6*x**2 - 2*x + 7
What is the d'th term of -41, -75, -97, -101, -81, -31, 55?
d**3 - 41*d - 1
What is the v'th term of -2350, -2340, -2330, -2320?
10*v - 2360
What is the y'th term of -82, -111, -140?
-29*y - 53
What is the p'th term of 47, 182, 401, 698, 1067?
-p**3 + 48*p**2 - 2*p + 2
What is the t'th term of -58, -115, -172?
-57*t - 1
What is the l'th term of 145, 135, 111, 67, -3, -105?
-l**3 - l**2 + 147
What is the w'th term of 30, 58, 90, 126?
2*w**2 + 22*w + 6
What is the c'th term of 8, -7, -40, -97, -184, -307, -472?
-c**3 - 3*c**2 + c + 11
What is the p'th term of 1843, 1842, 1843, 1846?
p**2 - 4*p + 1846
What is the b'th term of 28, 55, 100, 169, 268, 403?
b**3 + 3*b**2 + 11*b + 13
What is the a'th term of -388, -773, -1158, -1543?
-385*a - 3
What is the f'th term of -19, -44, -69, -94, -119?
-25*f + 6
What is the s'th term of -22, -28, -24, 2, 62, 168?
2*s**3 - 7*s**2 + s - 18
What is the n'th term of 232, 239, 246, 253, 260?
7*n + 225
What is the x'th term of 24, 152, 506, 1200, 2348, 4064?
19*x**3 - x**2 - 2*x + 8
What is the q'th term of 328, 330, 340, 364, 408?
q**3 - 2*q**2 + q + 328
What is the h'th term of -71, -148, -231, -320, -415, -516, -623?
-3*h**2 - 68*h
What is the d'th term of 57, 47, 37, 27, 17?
-10*d + 67
What is the m'th term of 3, 10, 25, 54, 103?
m**3 - 2*m**2 + 6*m - 2
What is the l'th term of -102, -211, -320?
-109*l + 7
What is the n'th term of -62, -123, -184, -245?
-61*n - 1
What is the f'th term of -18, -63, -132, -219, -318, -423, -528?
f**3 - 18*f**2 + 2*f - 3
What is the k'th term of -169, -367, -579, -811, -1069, -1359, -1687, -2059?
-k**3 - k**2 - 188*k + 21
What is the h'th term of 3, 2, 1, 0, -1, -2?
-h + 4
What is the c'th term of 3, 2, -1, 0, 11, 38, 87, 164?
c**3 - 7*c**2 + 13*c - 4
What is the q'th term of -4, -21, -52, -97, -156, -229?
-7*q**2 + 4*q - 1
What is the l'th term of -23490, -46981, -70472, -93963?
-23491*l + 1
What is the n'th term of 3, -13, -43, -93, -169, -277?
-n**3 - n**2 - 6*n + 11
What is the b'th term of -159, -325, -503, -699, -919?
-b**3 - 159*b + 1
What is the b'th term of 24, 6, -30, -90, -180?
-b**3 - 3*b**2 - 2*b + 30
What is the z'th term of -204, -200, -196?
4*z - 208
What is the p'th term of -20, -15, 48, 199, 468?
5*p**3 - p**2 - 27*p + 3
What is the w'th term of -22, -6, 32, 98, 198, 338, 524?
w**3 + 5*w**2 - 6*w - 22
What is the f'th term of -3775, -3773, -3769, -3763, -3755, -3745?
f**2 - f - 3775
What is the p'th term of -195, -180, -165?
15*p - 210
What is the j'th term of -987, -963, -923, -861, -771, -647, -483?
j**3 + 2*j**2 + 11*j - 1001
What is the h'th term of -42, -169, -382, -681, -1066, -1537?
-43*h**2 + 2*h - 1
What is the z'th term of -56, -71, -96, -137, -200, -291, -416, -581?
-z**3 + z**2 - 11*z - 45
What is the t'th term of 2, 15, 60, 155, 318, 567?
3*t**3 - 2*t**2 - 2*t + 3
What is the d'th term of 1192, 2391, 3590?
1199*d - 7
What is the g'th term of 62, 66, 72, 80, 90, 102, 116?
g**2 + g + 60
What is the n'th term of -991, -987, -981, -973, -963, -951, -937?
n**2 + n - 993
What is the w'th term of 3502, 3503, 3504, 3505, 3506?
w + 3501
What is the g'th term of 168, 674, 1520, 2706?
170*g**2 - 4*g + 2
What is the h'th term of -682, -680, -678, -676, -674, -672?
2*h - 684
What is the b'th term of 798, 3177, 7138, 12681, 19806, 28513, 38802?
791*b**2 + 6*b + 1
What is the f'th term of 115, 99, 73, 37, -9, -65, -131?
-5*f**2 - f + 121
What is the d'th term of 69, 145, 225, 309, 397?
2*d**2 + 70*d - 3
What is the u'th term of 560, 1115, 1670, 2225, 2780?
555*u + 5
What is the h'th term of -6349, -6342, -6333, -6322, -6309?
h**2 + 4*h - 6354
What is the r'th term of -56, -52, -46, -38?
r**2 + r - 58
What is the t'th term of -1710, -3436, -5162, -6888?
-1726*t + 16
What is the p'th term of 8, -22, -98, -244, -484, -842?
-4*p**3 + p**2 - 5*p + 16
What is the l'th term of 5, 13, 33, 71, 133, 225, 353?
l**3 + l + 3
What is the n'th term of -9149, -9152, -9157, -9164, -9173, -9184?
-n**2 - 9148
What is the b'th term of -1780, -3566, -5350, -7132, -8912, -10690, -12466?
b**2 - 1789*b + 8
What is the m'th term of 18, 113, 374, 885, 1730, 2993, 4758, 7109?
14*m**3 - m**2 + 5
What is the l'th term of -11, -8, -3, 4, 13, 24?
l**2 - 12
What is the v'th term of -119, -117, -115, -113, -111, -109?
2*v - 121
What is the w'th term of -22, -44, -90, -172, -302, -492, -754?
-2*w**3 - 8*w - 12
What is the h'th term of 1186, 1313, 1426, 1519, 1586?
-h**3 - h**2 + 137*h + 1051
What is the a'th term of -1559, -1570, -1585, -1604, -1627, -1654, -1685?
-2*a**2 - 5*a - 1552
What is the g'th term of 992, 1986, 2980, 3974, 4968, 5962?
994*g - 2
What is the n'th term of 594, 1187, 1780, 2373, 2966?
593*n + 1
What is the m'th term of -30, -77, -138, -213, -302, -405, -522?
-7*m**2 - 26*m + 3
What is the m'th term of -69, -124, -179?
-55*m - 14
What is the r'th term of -13, -24, -35, -46, -57?
-11*r - 2
What is the z'th term of 1605, 1604, 1603, 1602, 1601?
-z + 1606
What is the y'th term of -37, -76, -115, -154, -193, -232?
-39*y + 2
What is the r'th term of -120, -149, -188, -243, -320?
-r**3 + r**2 - 25*r - 95
What is the s'th term of -10, 56, 172, 344, 578, 880, 1256, 1712?
s**3 + 19*s**2 + 2*s - 32
What is the r'th term of 5420, 5418, 5428, 5456, 5508, 5590?
r**3 - 9*r + 5428
What is the k'th term of -4394, -8784, -13162, -17522, -21858?
k**3 - 4397*k + 2
What is the s'th term of 51, 58, 65, 72?
7*s + 44
What is the h'th term of 4, 26, 46, 52, 32, -26, -134, -304?
-2*h**3 + 11*h**2 + 3*h - 8
What is the j'th term of -9, -6, -3?
3*j - 12
What is the f'th term of -25, -39, -53, -67, -81, -95?
-14*f - 11
What is the n'th term of 27, 48, 59, 60, 51, 32, 3?
-5*n**2 + 36*n - 4
What is the i'th term of 32, 45, 74, 125, 204, 317?
i**3 + 2*i**2 + 29
What is the u'th term of -16, -19, -24, -31, -40, -51?
-u**2 - 15
What is the n'th term of -187, -720, -1595, -2806, -4347, -6212, -8395, -10890?
n**3 - 177*n**2 - 9*n - 2
What is the u'th term of 3164, 3158, 3140, 3104, 3044, 2954, 2828, 2660?
-u**3 + u + 3164
What is the b'th term of -333, -667, -1001, -1335, -1669, -2003?
-334*b + 1
What is the x'th term of 101, 100, 99, 98, 97?
-x + 102
What is the v'th term of -2, 42, 116, 220, 354, 518, 712?
15*v**2 - v - 16
What is the m'th term of 20, 38, 54, 68, 80, 90?
-m**2 + 21*m
What is the n'th term of 35, 67, 101, 137, 175, 215?
n**2 + 29*n + 5
What is the i'th term of -423, -425, -427, -429, -431, -433?
-2*i - 421
What is the t'th term of 135, 126, 117, 108?
-9*t + 144
What is the y'th term of 1292, 1295, 1300, 1307, 1316?
y**2 + 1291
What is the j'th term of 1690, 6793, 15290, 27175, 42442?
-j**3 + 1703*j**2 + j - 13
What is the r'th term of 8470, 8469, 8468, 8467?
-r + 8471
What is the c'th term of 180, 368, 556, 744, 932?
188*c - 8
What is the i'th term of -108, -94, -76, -54, -28?
2*i**2 + 8*i - 118
What is the n'th term of 35, 37, 39?
2*n + 33
What is the o'th term of 2446, 2446, 2456, 2482, 2530?
o**3 - o**2 - 4*o + 2450
What is the h'th term of 338, 299, 242, 173, 98, 23, -46?
h**3 - 15*h**2 - h + 353
What is the a'th term of 792, 791, 790, 789, 788?
-a + 793
What is the c'th term of 858, 854, 848, 840, 830, 818?
-c**2 - c + 860
What is the v'th term of -34, -135, -298, -517, -786?
v**3 - 37*v**2 + 3*v - 1
What is the f'th term of 181, 361, 543, 727?
f**2 + 177*f + 3
What is the n'th term of 1985, 1992, 2011, 2048, 2109?
n**3 + 1984
What is the b'th term of -20, -24, -32, -44, -60, -80?
-2*b**2 + 2*b - 20
What is the b'th term of 1164, 2332, 3500, 4668, 5836?
1168*b - 4
What is the x'th term of -64, -81, -98, -115?
-17*x - 47
What is the t'th term of -3, -19, -53, -111, -199, -323, -489?
-t**3 - 3*t**2 + 1
What is the c'th term of 77, 78, 83, 92, 105, 122, 143?
2*c**2 - 5*c + 80
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
2688397207?
77.1688397207
What is -1881.56 + 123793.05?
121911.49
Calculate 0.07715232 - -0.07648.
0.15363232
Put together -13852483668313 and 0.4.
-13852483668312.6
What is -0.121 - -61924990869?
61924990868.879
What is -0.1131695 plus 78963.596?
78963.4828305
Sum -49 and -4936806267.
-4936806316
Calculate 1819507 - 58878911.
-57059404
What is -29129972306 plus -0.8637?
-29129972306.8637
What is -0.05 - -10413.98889?
10413.93889
What is 8242182.93 less than -1628?
-8243810.93
-337+145271504.6
145271167.6
Add together -0.2436 and 327246899.
327246898.7564
What is 1665936.702 minus -97681?
1763617.702
Add 10101206 and 1165.37.
10102371.37
What is -159 take away 258088.73722?
-258247.73722
Add together 850.6470264 and 0.1.
850.7470264
Calculate 29.8 + 2259838961.
2259838990.8
What is the difference between 0.994151778 and -1959?
1959.994151778
Subtract -332770136 from -35369.
332734767
What is the difference between -3959.3 and 4468281.2?
4472240.5
40226.71 + -19.725
40206.985
What is the distance between 5178 and 10806.339?
5628.339
What is -10.89944 minus 0.05320318?
-10.95264318
Work out -0.851 + -66768.5735.
-66769.4245
Subtract -735160577 from -302.
735160275
What is -0.163 plus -37523496660?
-37523496660.163
What is 0 - 44924913.2?
-44924913.2
Work out -2172414534178 + 0.2.
-2172414534177.8
Work out 554201658850 + -0.8.
554201658849.2
What is -3.286 + 52.05517?
48.76917
What is the distance between -7.396556 and -0.08089?
7.315666
What is 3.68 take away -233584819658.4?
233584819662.08
Calculate 2 - 25768.123066292.
-25766.123066292
What is the distance between -93.16866674 and -0.0353?
93.13336674
What is -0.01 minus 644.520347254?
-644.530347254
What is -19299737.5 minus -0.1017?
-19299737.3983
Work out 11.42 + -1118231559.
-1118231547.58
Put together 0.09423907 and 0.39706.
0.49129907
Subtract 4813681 from -16800276.
-21613957
What is 1072900172941 minus -4?
1072900172945
What is 1.2 take away -3.2192499964?
4.4192499964
Sum 24 and -4.2162117651218.
19.7837882348782
What is -1.8 plus 141129706590?
141129706588.2
What is -2.9381 plus -22145917?
-22145919.9381
Work out -300 + 1737565067.
1737564767
2.79 - -0.62622355192
3.41622355192
Subtract 2.9656 from -1296729.
-1296731.9656
19125268.41+-44190
19081078.41
8722634.834 - -0.287
8722635.121
Sum -2 and 8347330271369.
8347330271367
Add together 82604505 and -3541.
82600964
Put together -43524521 and -13703.8.
-43538224.8
What is -12035.6 less than -20345406?
-20333370.4
Add together -89662504 and 464.42.
-89662039.58
Calculate -0.4 + -66838.533008.
-66838.933008
What is 9.713 take away 93.76378?
-84.05078
Work out 1034.887 + -31036.
-30001.113
Work out 2.353679989 + 100.9.
103.253679989
Add together -0.02 and 15436713997.
15436713996.98
Add together -1014886 and -1349259.
-2364145
Put together -379752746161 and 0.
-379752746161
Put together 21587.3 and -1828442949.
-1828421361.7
3152161540+62
3152161602
-44786350712974 - 2.4
-44786350712976.4
Subtract -63635 from -8490079.
-8426444
What is 6131791 minus -12940?
6144731
Calculate 951.11 - 15726992.1.
-15726040.99
Add together 0.0348 and -104094.64994.
-104094.61514
Subtract -1 from -348496062609315.
-348496062609314
What is the difference between -1626 and -13.6167431132?
1612.3832568868
0.0806764953 - 76289
-76288.9193235047
What is the distance between 350.400027 and -76120?
76470.400027
What is -24 plus 280954497509?
280954497485
Calculate -663.738136 + 53.8467.
-609.891436
What is the distance between 1711139222.743 and 78?
1711139144.743
What is the distance between 314556267408 and 4?
314556267404
737 + -13.340982
723.659018
Calculate -25 + 1509834170433.
1509834170408
Calculate -25562 + -342531487.
-342557049
Calculate -1504432083 + 170.
-1504431913
6 - -1838382790
1838382796
Add -3.87 and 0.3882752428.
-3.4817247572
What is the distance between 247196140 and 0.920097?
247196139.079903
What is -1972022 - -712548.2?
-1259473.8
Sum 5 and -3720981639536.
-3720981639531
Total of 3.077 and -2064.303636.
-2061.226636
Calculate -26.923 - 2388437429.
-2388437455.923
Calculate 10981969 + -101670554.
-90688585
Calculate 2 + 0.371315005923.
2.371315005923
What is 12020346589 + -3.4?
12020346585.6
What is -0.0822 plus -0.04311455032?
-0.12531455032
What is the difference between -33.2589484 and -2401?
2367.7410516
Work out -2 - -18121529182705.
18121529182703
What is -9942578 minus -0.2896681?
-9942577.7103319
Work out -520217 - -115839.
-404378
Put together -0.4 and -11489613487904.
-11489613487904.4
What is -25 take away 72924796447?
-72924796472
Add -979.2539 and -5.869.
-985.1229
What is -38.68505 less than 2606?
2644.68505
What is -198 - -489.8676987125?
291.8676987125
What is the distance between -0.0370372 and -56.3502726?
56.3132354
What is 0.21412335 minus 9107.9?
-9107.68587665
Calculate 23244448 - -34.27.
23244482.27
Calculate 1103 - 5167.6186.
-4064.6186
-1.16 + -15.663014031
-16.823014031
Work out 0.2 + -2758596954846.
-2758596954845.8
Add together 371377175.359 and 136.
371377311.359
Put together -737821892 and 1743.
-737820149
What is the difference between -0.309 and 30900130?
30900130.309
-15336.137828697 - 15
-15351.137828697
What is the difference between -1755803828 and -361?
1755803467
Subtract 298.763 from 2805612.06.
2805313.297
Add 384242883 and 0.2201.
384242883.2201
What is 4189616 - 16239?
4173377
What is the distance between -390188783 and -165.1?
390188617.9
Add 26020588910 and -38.93.
26020588871.07
-0.06 - 4193744.959306
-4193745.019306
What is the difference between 1447643778 and -145?
1447643923
What is -6405638 less than -237526?
6168112
What is -12.5194744427 minus -0.02?
-12.4994744427
What is 2759.444844415 take away -0.4?
2759.844844415
What is -2290941 minus -5769463?
3478522
-2114.138426 + -0.4
-2114.538426
What is -3595077810 less than 14347?
3595092157
What is -1 take away -474460.097326?
474459.097326
0.3456+-155.76
-155.4144
What is 739534194.907 plus 0.8?
739534195.707
What is -11059373269482 plus 1?
-11059373269481
What is 572484 take away -238.4674?
572722.4674
Add 1288457.24 and 193948.
1482405.24
-588284 + 0.30495
-588283.69505
Calculate 0.1 - 20688928614183.
-20688928614182.9
Work out 29 - -533824573341.
533824573370
514624628+-4.012
514624623.988
206.852166067 - -3
209.852166067
What is the difference between -0.4 and 10818142628.543?
10818142628.943
Calculate 494 - 16.047966803.
477.952033197
Calculate -29937916552 + -24.7.
-29937916576.7
Calculate -1.2 + -63760702.556.
-63760703.756
Sum 6 and -27735607717.
-27735607711
Add -0.204 and -270742.33213.
-270742.53613
-89.6 + -18227539037
-18227539126.6
Work out -5968.32139 + 1927376.
1921407.67861
Sum 3 and 4146048582992.
4146048582995
What is 0.356406677 plus 0.0668?
0.423206677
Work out -41073683284.44 - -0.3.
-41073683284.14
What is the difference between -193287 and 1216826?
1410113
What is 4.339401408875 plus -2.2?
2.139401408875
Sum -5 and 523213285.551.
523213280.551
What is 0.3 - 194351639024722?
-194351639024721.7
Total of 21 and 3727517.76164.
3727538.76164
What is -2538179409048 minus 0.009?
-2538179409048.009
29.9+-13676585.9023
-13676556.0023
Sum -1.248 and 26802711348.
26802711346.752
0.1 - -103240.860579995
103240.960579995
What is -73964423699 less than -2.7?
73964423696.3
What is 13 plus 15311278.203?
15311291.203
What is the distance between 34225.522392 and -32.7?
34258.222392
What is 94513283 less than 76?
-94513207
Put together 127136.5 and 462271721.
462398857.5
-23928939 - 399714
-24328653
Calculate -0.2 - -658635.423182.
658635.223182
What is the distance between -4790 and 41201.04181?
45991.04181
581419 - -21918.646
603337.646
Work out 47316960552 + -0.4.
47316960551.6
Add together -5608 and 4092270968.
4092265360
5818.0057823757 + 2.3
5820.3057823757
What is 0.2 - -4005085313776?
4005085313776.2
Work out 941 - 0.0470355139.
940.9529644861
Add 1 and 129.498997626198.
130.498997626198
What is -0.064 minus -33.0724568867?
33.0084568867
What is the distance between -254148971185 and 2.02?
254148971187.02
Total of -0.11 and -25495364923.5.
-25495364923.61
What is 0.068864854 less than 1.4482?
1.379335146
Work out -1610.86 - -0.05043052.
-1610.80956948
What is the difference between -1860.37 and 217332385.5?
217334245.87
Pu
|
{
"pile_set_name": "DM Mathematics"
}
|
digit of v?
7
Let c = -179 - -249. What is the units digit of c?
0
Let m = 21979 - 11880. What is the units digit of m?
9
Suppose 0 = -27*p + 26*p. Suppose p = -4*b - 2*o + 1146 + 3160, -b + 5*o + 1082 = 0. What is the hundreds digit of b?
0
What is the units digit of 100/30*(-3)/2*-1694?
0
Let h be ((-4376)/(-3))/4*3. Let n = h - 771. What is the hundreds digit of n?
3
Suppose -45*a - 318516 + 1206411 = 0. What is the thousands digit of a?
9
Let p = -1241 + 3597. Suppose 10*b = 14*b - p. What is the tens digit of b?
8
What is the hundreds digit of ((-2560)/25 - -6)*(-220)/8?
6
Suppose 474702 = -196*z + 106406 + 1988824. What is the thousands digit of z?
8
Let a(r) be the first derivative of r**2/2 + 23*r - 66. What is the units digit of a(-17)?
6
Suppose v + 6 = -0*b - 4*b, 0 = -3*v + 5*b + 33. Let d be ((-24)/9)/4*27/v. What is the tens digit of (-1)/d + 264/18?
1
Let o(c) = -10*c**3 - 2*c**2 + 2*c + 57. Let i be o(-8). Suppose -i = -2*l - 1267. What is the hundreds digit of l?
8
Suppose 3 + 3 = 3*h. Suppose -34*c = -99*c - 29*c + 658. Suppose c*x = h*x + 555. What is the units digit of x?
1
Let p be (-2)/(-2 - (-9)/6). Suppose 2 = -s + 2*l + 5, s - 3 = -p*l. Suppose s*r = r + 5*w + 195, -w = 4*r - 335. What is the units digit of r?
5
Let x = -7834 + 15491. What is the thousands digit of x?
7
Let d(n) = 12*n**2 - 425*n + 11. What is the thousands digit of d(-21)?
4
Suppose 8*o = -0*o + 168. Let z = o + -17. Suppose q - 4*l = 257, -z*q = -6*q + 5*l + 526. What is the units digit of q?
3
Let s = 21 - 19. Suppose s*f = -28 + 620. What is the units digit of f?
6
Let s(w) = w**2 + 3*w + 5. Let p be s(-3). Suppose 3*o + 2*t = 820, p*o - 1364 = -0*o - 4*t. What is the units digit of o?
6
Let n = -38 - -18. Let y be 2067/(-15) + (0 - (-4)/n). Let b = 308 + y. What is the units digit of b?
0
Let k = 21211 + -15695. What is the thousands digit of k?
5
Let b = -109 - -65. Let m be b/7 - (-2)/7. Let l(u) = -u**3 - 4*u**2 + 5*u - 9. What is the tens digit of l(m)?
3
Suppose -37 = -5*d - b, -20 = -2*d + b - 8. Suppose 9*z = d*z + 108. What is the tens digit of (-3)/(81/6) + 8112/z?
5
Suppose -c + 3*y = 0, 5*c + 5*y - 21 + 1 = 0. What is the tens digit of (-177)/(-1*1/(c/3))?
7
Let d = 15156 - 4632. What is the tens digit of d?
2
Suppose -2*u - 51023 + 6421 = -r, -178408 = -4*r + 3*u. What is the ten thousands digit of r?
4
Suppose -4*i + 3*j - 4*j = -20, -3*i + 32 = 5*j. Suppose -i*v = 4*z + 13 - 1369, 2*v - 687 = -5*z. What is the tens digit of v?
3
Let t = 1880 + 5366. What is the units digit of t?
6
Let d(h) = h + 16. Let j be d(-18). What is the hundreds digit of (2 + 43)*8 + (-4)/j?
3
What is the thousands digit of (13 - (29 - 12)) + 8793?
8
Suppose 320 = 7*b + 285. Suppose -b*w + 2944 = o + 1069, 0 = 2*o - 4*w - 3750. What is the thousands digit of o?
1
What is the hundreds digit of (-67)/(1340/360)*(2 - 1216)?
8
Let b = -93 - -96. Suppose 2*l - 1106 = 2*c, 2*l + 2*l - 2213 = b*c. What is the hundreds digit of l?
5
Let r(m) = 8*m + 1171. What is the units digit of r(37)?
7
Let o(y) = y**2 + 12*y + 26. Let v be o(-11). Suppose i = 4*m - 12, 5*m + 0*m - v = i. Suppose -z - 34 = -d, m*z + 0*z = -6. What is the units digit of d?
2
Suppose -3*b - 5*d + 6*d = 50, 0 = 5*d - 25. What is the thousands digit of ((-1187)/5)/(836/(-55) - b)?
1
What is the hundreds digit of 17850/(-510)*1047/(-1)?
6
Suppose -k + 400 = -5*g, 7*g = 12*g + k + 400. What is the hundreds digit of 232/((g/(-56))/5)?
8
Suppose -17423 + 93345 = 22*h. What is the hundreds digit of h?
4
Let x = -274 - -50. Let v = x + 975. What is the hundreds digit of v?
7
Suppose 2*g + 2*n + 443 - 15267 = 0, -3*n = 3. What is the tens digit of g?
1
Suppose 260 = 30*z + 20. What is the tens digit of 6096/z + -4 - -4?
6
Suppose h - 10574 = -k, -2*k - k + 4*h = -31764. What is the tens digit of k?
8
Let m = -224 + 1018. Let t = m + -13. What is the tens digit of t?
8
Let t = 7366 - 3680. What is the thousands digit of t?
3
Let u(y) = -11*y + 8. Let v be u(5). Let r = v - -55. Suppose -3*j - r = -293. What is the tens digit of j?
9
Let n(w) = w**3 - 15*w**2 + 18*w - 48. Suppose 55 = 5*f + 7*v - 4*v, 2*f = 5*v + 53. What is the units digit of n(f)?
8
Let f(r) = r**3 + r**2 - r + 1. Let d(t) = 4*t**3 - 4*t**2 - 13*t - 7. Let i(q) = -d(q) + 3*f(q). Let o be i(9). Let h = o - -123. What is the units digit of h?
1
Let a(l) = l**3 - 6*l**2 - 3*l + 8. Let u be a(6). Suppose 10*q - 45 = -3*n + 5*q, 3*n = 5*q + 15. What is the tens digit of (-174)/u + -2 - n/25?
1
Suppose 18*s - 2 = 20*s + y, 0 = -4*y + 16. What is the units digit of ((-2748)/8)/(s/6)?
7
Let x = 2334 + 7733. What is the ten thousands digit of x?
1
Suppose 9*s - 8*s - 4*h - 63 = 0, -5*s + 3*h = -264. What is the tens digit of (s/102)/((-2)/(-1292))?
2
Let p = 20734 + -16566. What is the hundreds digit of p?
1
Let f(u) = 27*u - 159. Let j(c) = -109*c + 636. Let m(k) = -9*f(k) - 2*j(k). What is the tens digit of m(-12)?
5
Suppose 2*y = 12*y - 220. Let n = -28 + y. What is the tens digit of (-8)/(16/(-6))*(-94)/n?
4
Let r = 20366 - 12800. What is the units digit of r?
6
Let l(y) = 59*y - 1184. Let r(i) = 30*i - 593. Let n(w) = -4*l(w) + 7*r(w). What is the hundreds digit of n(0)?
5
Suppose 0 = 7*d + 63 - 119. What is the hundreds digit of d + (-450)/55 - 11288/(-11)?
0
Suppose -22*g = 4*g - 25714. Suppose -2 = u, -3*a - u - g = -6*a. What is the units digit of a?
9
Let g = 187 + -99. Let b = 507 - g. What is the tens digit of b?
1
Suppose -18*f + 18234 = -19944. What is the hundreds digit of f?
1
Let k be -4 + -1 - (-12)/(-6). Let m(s) be the third derivative of -11*s**4/12 + 3*s**3 - 2*s**2. What is the units digit of m(k)?
2
Suppose 6*o + 603 = -3*o. Let j = 67 + o. Suppose 5*b + i - 66 = j, 4*i + 48 = -2*b + 6*b. What is the units digit of b?
3
Suppose 2*u = 2*s - 23398, 44825 = 5*s + 2*u - 13614. What is the units digit of s?
1
Suppose -3*i + a = -2*i + 2275, 2*i + 4532 = -4*a. What is the units digit of -3 + i/(-5) + 42/70?
2
Suppose -2*v = -7*v - 2*j - 3, 5*j - 1 = -4*v. Let i be 1 + v/((-4)/(-1020)). Let w = i + 432. What is the units digit of w?
8
Suppose -2*k = -9*k - 952. Let b = k + 484. Let d = -112 + b. What is the tens digit of d?
3
Let l = -44 + 47. What is the tens digit of l/(-5) - 32112/(-120)?
6
Let j(u) = 3905*u**3 - 3*u**2 - 3904*u**3 - u + 19*u**2 + 15*u - 32. What is the hundreds digit of j(-10)?
4
Suppose 7 = 4*y + 3, -3*k - 3*y + 8274 = 0. What is the thousands digit of k?
2
Let h = 20 + 6. What is the hundreds digit of 512/12*429/h?
7
What is the ten thousands digit of ((-52)/(-12)*-17)/((-10)/9510)?
7
Suppose -34 - 26 = -10*s. Let t(f) = 7*f + 19. Let i(r) = -6*r - 18. Let b(n) = -5*i(n) - 4*t(n). What is the units digit of b(s)?
6
Let h be (-2)/(-6) + (-776)/24. Let g = h - -35. Suppose 0 = -5*q + 4*i - 0*i + 453, -5*q - g*i = -474. What is the tens digit of q?
9
Let l(r) = 2*r**3 + r**2 - 4*r + 15. Let i be l(8). Let f = 1518 - i. What is the tens digit of f?
4
Let j = -45 + 40. Let v = j + 21. Suppose 2*y + 4*l = 18, l - v = -2*y - 4*l. What is the tens digit of y?
1
Let y be (-13 - -11)/(2/(-32)). Let c = 37 - y. Suppose 0 = -c*p + 2*z + 420 - 54, -5*z = 2*p - 129. What is the units digit of p?
2
Suppose 21 = 4*d + 9. Suppose -h + 2*z + 289 = 0, -d*z - 2*z + 911 = 3*h. Let b = h - 177. What is the hundreds digit of b?
1
Suppose -91*l - 74 = -89*l. Let h = l - -661. What is the units digit of h?
4
Let s(y) = y**3 - 7*y - 2. Let w be s(3). Suppose -3*v + 1435 = w*n, -6*n = -n + 3*v - 1796. What is the units digit of n?
1
Suppose 14*m + 301034 - 967658 = 0. What is the thousands digit of m?
7
Let b(m) = m**2 + 1. Let a(n) = 3*n**2 + 2*n - 10. Let h be (-4)/(-2) - (0 - 2/1). Let r(g) = h*b(g) + a(g). What is the tens digit of r(2)?
2
Let d be 2/((-1603)/(-534) + 16 + -19). Suppose 2*n + 3*j = d + 65, -n - 2*j + 566 = 0. What is the hundreds digit of n?
5
Let p(r) = -27*r + 346. Let i(g) = g**3 - g**2 + 6*g - 6. Let d be i(1). What is the units digit of p(d)?
6
Let c(k) = 216*k**2 + 23*k - 94. What is the tens digit of c(5)?
2
Let s be ((-4)/2 - -1)/(4/4). What is the hundreds digit of (-10428)/(-33) + s*(-1 + 2)?
3
Let z(l) = 2*l**3 + 108*l**2 - 300*l + 17. What is the tens digit of z(-35)?
6
Suppose -3*d + 6 = 0, -14*d
|
{
"pile_set_name": "DM Mathematics"
}
|
d the second derivative of -3 + 2*n**5 + 2*n**5 + 18*n**c - 3*n**5 + 25*n - 7*n**5 + 5*n**5 wrt n.
-20*n**3 + 108*n
Let i(h) be the third derivative of -31*h + 0 - 13*h**3 + h**2 + 91/12*h**4. What is the first derivative of i(p) wrt p?
182
Let r(b) be the first derivative of 1023*b**4/2 + 71*b**3 + 3*b**2/2 - 1291. What is the third derivative of r(c) wrt c?
12276
Let j(z) be the third derivative of 1057*z**5/30 + 2*z**4/3 - 10*z**3/3 - z**2 + 756*z. Find the second derivative of j(d) wrt d.
4228
Let t = 53 - 50. What is the first derivative of 33*l + 28*l + 35 + 29*l - t*l wrt l?
87
Let f(n) = n**3 + 4*n**2 - 124*n - 699. Let p be f(-7). Suppose 2*u = -u + 66. Differentiate 330 - 317 - p*c**3 - u*c**3 with respect to c.
-132*c**2
Let c(w) be the second derivative of 269*w**8/28 - 363*w**4/4 + 3*w - 74. What is the third derivative of c(f) wrt f?
64560*f**3
Let t(b) = 2*b**2 + 2*b - 3. Let m(n) = 340*n**2 + 13*n + 1451. Let y(c) = -m(c) + 6*t(c). Differentiate y(p) with respect to p.
-656*p - 1
Suppose -33*c - 8 = -37*c. What is the derivative of 1031*z**2 - 55 + 1030*z**c + 21*z - 2058*z**2 wrt z?
6*z + 21
Suppose -4*p - u + 14 - 2 = 0, 0 = -2*p - u + 8. Let y(h) be the first derivative of 0*h - 21/2*h**p + 5/3*h**3 + 16. Find the second derivative of y(l) wrt l.
10
Let b(z) be the third derivative of 2*z**2 + 3*z + 0 + 0*z**3 - 1/15*z**5 + 1/40*z**6 + 11/12*z**4. Find the second derivative of b(m) wrt m.
18*m - 8
Let v(k) be the first derivative of -1444*k**5/5 - 2*k**3/3 - 33*k - 158. What is the third derivative of v(g) wrt g?
-34656*g
Let k(h) be the third derivative of -289*h**4/12 + 2173*h**3/6 + 3607*h**2. What is the first derivative of k(r) wrt r?
-578
What is the third derivative of -500*n**3 - 2071*n + 45*n**3 + 3*n**2 - 4*n**2 - 316*n**3 wrt n?
-4626
Let u(p) = 1154*p**2 + 8*p + 220. Let z(k) = -2*k - 5. Let o(m) = -u(m) - 4*z(m). Find the first derivative of o(q) wrt q.
-2308*q
Let f(v) be the first derivative of 0*v + 69/4*v**4 + 0*v**3 - 67 - 23*v**2. Find the second derivative of f(z) wrt z.
414*z
Let y = 14 - 10. What is the second derivative of 54*h**4 - 8*h - 6*h - y*h - 2*h wrt h?
648*h**2
Suppose -2*t - 2 + 2 = 0. Suppose 0 = 2*a + 2*o - 10, t = 6*a - a + 3*o - 27. What is the derivative of 9*r**3 - a - 4*r**3 + 21 + 1 wrt r?
15*r**2
Suppose 62 = 8*s - 2. Suppose -5*j + s*j = 0. What is the first derivative of -2*i**4 + j*i**4 - 5 + 5 - 8 wrt i?
-8*i**3
Suppose 0 = 5*w - 3*i - 1049, 5*w = 11*i - 9*i + 1051. Find the second derivative of 425*h - w*h + 8*h**2 - 92*h**2 - 190*h wrt h.
-168
Let a(x) be the first derivative of 5 - 5/6*x**4 + 0*x**3 - 7/2*x**2 + 26*x. Let w(q) be the first derivative of a(q). Differentiate w(u) wrt u.
-20*u
Suppose -x = -0*x + 3*t - 14, 80 = 4*x + 4*t. What is the second derivative of x*g**3 + 22*g**3 + 46*g + 76*g - 15*g**3 wrt g?
180*g
Let v(o) be the second derivative of 352*o**4/3 - 1213*o**3/6 + 1113*o. What is the second derivative of v(t) wrt t?
2816
Let s(w) = w - 1. Let h(k) = -8*k - 7*k + 18*k**3 + 6 + 23*k - 5 - 10*k. Let x = -8 - -6. Let n(u) = x*s(u) - h(u). What is the derivative of n(o) wrt o?
-54*o**2
Let d(i) = i**2 - 17*i - 14. Let x be d(18). Suppose x*s + 2 = 5*s. Find the third derivative of -3*j**3 - 35*j**2 + 46*j**s - 22*j**2 wrt j.
-18
Let a = 93 + -27. Let m = a + 9. Differentiate -12*d**2 + m*d - 16 - 75*d + 2 with respect to d.
-24*d
Let d(q) = 2*q**2 - 11*q - 61. Let l be d(9). What is the third derivative of 2 - 44*m + 6*m**2 + 50*m + 11*m**2 - l - 118*m**3 wrt m?
-708
Let b(m) = -58*m**3 + m**2 - 4*m - 4. Let o be b(-1). What is the third derivative of -2 - 21*u**6 - 2*u**5 + 0*u**5 + u**4 - o*u**2 - 5*u**4 + 2*u**5 wrt u?
-2520*u**3 - 96*u
Let t be (-15)/(5 - 2) - -7. What is the derivative of 341*n - 127*n**t - 341*n + 8 wrt n?
-254*n
Let v(u) be the first derivative of -1/3*u**6 + 0*u**4 + 0*u**2 + 0*u**5 + 0*u + 18 - 32/3*u**3 + 33/7*u**7. What is the third derivative of v(c) wrt c?
3960*c**3 - 120*c**2
Let u(p) be the third derivative of 0*p**4 - 11/40*p**6 + 0*p + 8*p**2 + 0*p**3 + 1/30*p**5 + 0. Find the third derivative of u(r) wrt r.
-198
What is the first derivative of 627 - 2468179*k**2 + 9*k**3 - 11*k + 2468179*k**2 wrt k?
27*k**2 - 11
Find the third derivative of -2031*h**6 - 77*h**2 + 3211*h**6 - 209*h**2 wrt h.
141600*h**3
Suppose 4*l = -5*k - 26, -2*l + 6*l - 2*k + 12 = 0. Let n be 14/l*-2 + -2. What is the third derivative of 24*p**2 - n*p**6 - 3*p**2 + 4*p**2 wrt p?
-600*p**3
Let t(h) = -912*h**3 + h**2 - 245*h - 4. Let s(i) = -2737*i**3 + 2*i**2 - 739*i - 12. Let j(n) = -3*s(n) + 8*t(n). What is the second derivative of j(x) wrt x?
5490*x + 4
Let h(i) = -5*i + 90. Let l be h(14). Find the third derivative of 8*k**5 + 12*k**4 - 22*k + l*k - 13*k**4 + 84*k**2 wrt k.
480*k**2 - 24*k
Let h(r) be the second derivative of -479*r**5/4 - 4*r**4/3 - 29*r**3/6 - 4*r + 74. Find the third derivative of h(n) wrt n.
-14370
Find the third derivative of -26 - 59*c**2 - 202*c - 7*c**5 + 56*c**2 - 114*c**3 + 26 wrt c.
-420*c**2 - 684
Let n(a) = -103*a - 51. Let k(b) be the first derivative of -104*b**2 - 101*b + 88. Let s(h) = -3*k(h) + 7*n(h). Find the first derivative of s(l) wrt l.
-97
Let r(m) = 1944*m**3 + 4*m**2 - 4*m - 839. Let t(z) = -1945*z**3 - 5*z**2 + 5*z + 844. Let p(c) = -5*r(c) - 4*t(c). Find the first derivative of p(q) wrt q.
-5820*q**2
Let y(n) be the first derivative of 1149*n**2/2 + 478*n - 574. Find the first derivative of y(s) wrt s.
1149
Let p = 623 - 619. Find the third derivative of 901*i**p - 1141*i**4 + 3*i**2 + 14*i - 2*i**2 wrt i.
-5760*i
Find the second derivative of 1275*m + 104*m**2 - 456*m**2 - 441*m - 303*m**2 + 487*m wrt m.
-1310
Let d(j) = 194*j + 90. Let s(g) = -582*g - 268. Let x(v) = 6*v - 23. Let l be x(3). Let r(o) = l*s(o) - 16*d(o). What is the first derivative of r(y) wrt y?
-194
Let y(i) be the second derivative of -550*i**7/21 + i**3/3 - 353*i**2/2 - 1153*i. What is the second derivative of y(w) wrt w?
-22000*w**3
Let j(z) = -5*z**3 - 2*z**2 + z + 1. Let u(f) = -5377*f**3 - 6*f**2 + 3*f + 4106. Let c(l) = 3*j(l) - u(l). What is the first derivative of c(h) wrt h?
16086*h**2
Let l(u) be the second derivative of 5/6*u**3 + 0*u**4 - 139/42*u**7 + 0*u**5 + 0*u**6 - 19/2*u**2 - 114 - 2*u. What is the second derivative of l(d) wrt d?
-2780*d**3
Suppose 8*l = 7*l + 129. Let c be 0 + -4 + 128 + -1. Find the third derivative of 2*j**5 + c*j**2 + 3*j**5 - l*j**2 wrt j.
300*j**2
Let t(i) = 383*i**3 - 19*i**2 + 2*i + 4168. Let x(a) = 191*a**3 - 10*a**2 + a + 2076. Let u(v) = 3*t(v) - 5*x(v). What is the second derivative of u(y) wrt y?
1164*y - 14
Suppose -11*v + 5*v = 0. Suppose v = 3*c + 3*d - 3, -c - 2*d + 1 = 5. What is the first derivative of -10 + c - 3 - 15*x**3 wrt x?
-45*x**2
Let v = -88 + 33. Let f = v + 82. What is the derivative of 2*i**4 + f - 5 + 0 wrt i?
8*i**3
What is the second derivative of 329*n - 2435*n**2 - 335*n - 1 + 480*n wrt n?
-4870
Let x be ((-153)/102)/(4 + 9/(-2)). Let c(a) be the second derivative of 13*a + 5/2*a**2 + 0 + 19/6*a**x. Find the first derivative of c(y) wrt y.
19
What is the first derivative of -8 + 94 - 22 + 106 - 1363*s**2 wrt s?
-2726*s
Let y(h) be the first derivative of 0*h**3 + 0*h**2 + 114 - 1/4*h**4 - 17/5*h**5 + 118*h. Differentiate y(c) with respect to c.
-68*c**3 - 3*c**2
Suppose -4*k - 20 = 0, 2*j = j + 2*k + 14. Differentiate -55*c**j - 49 + 4054*c - 4054*c with respect to c.
-220*c**3
Let w(a) be the second derivative of -19*a**7/210 + 8*a**3 - 11*a**2 - 2*a. Let j(n) be the first derivative of w(n). Differentiate j(v) with respect to v.
-76*v**3
Let w = -174 + 176. Find the third derivative of -204*y**2 + 163*y**2 - 16*y**4 + 2*y**3 - 5*y**3 + w*y**3 wrt y.
-384*y - 6
Suppose -l + 2*y + 9 = 0, -5*y - 28 + 9 = l. Let n be -1*(3 + l) + (21 - 13). What is the third derivative of 17*c**4 + 7*c**n - 31 + 31 - 5*c**2 wrt c?
576*c
Suppose -2*h + 6*h + 3*m - 13 = 0, -2 = 2*m. What is the third derivative of -27*o**2 + 104*o**h + 32 + 70*o**2 - 32 wrt o?
2496*o
What is the third derivative of 951065*i + 3*i**2 - 16*i**3 + 1643*i**4 + i**5 + 18*i**3 - 949290*i wrt i?
60*i**2 + 39432*i + 12
Suppose -32*v + 1922 + 1662 = 0. What is the first derivative of 0 - 111 - v + 200*p wrt
|
{
"pile_set_name": "DM Mathematics"
}
|
e j(-148).
-10
Let n(o) = 23*o - 981. Calculate n(-23).
-1510
Let o(h) = -27*h**3 + 45*h**2 - 39*h + 34. Calculate o(1).
13
Let h(k) = k**2 - 19525*k - 7077650. Determine h(-356).
-14
Let n(f) = 853*f - 164648. Calculate n(193).
-19
Let g(b) = b**3 + 31*b**2 - 4574*b - 152043. Calculate g(-34).
5
Let u(t) = -2*t**3 + t**2 - 155*t - 569. Determine u(-4).
195
Let b(o) = -927*o - 197447. Give b(-213).
4
Let d(h) = -697*h + 46637. Determine d(67).
-62
Let i(f) = 134*f + 103. Give i(-7).
-835
Let o(x) = 40*x**2 + 306*x - 61. Give o(-10).
879
Let g(d) = -71*d**2 + 26211*d - 4202. Give g(369).
226
Let l(k) = 2444*k + 12578. Give l(-6).
-2086
Let l(n) = 23*n**2 + 6387*n + 12684. Give l(-2).
2
Let f(d) = 823*d + 6099. What is f(-7)?
338
Let i(b) = -193*b - 4235. Give i(-27).
976
Let y(g) = -6*g**2 + 1827*g - 133033. Calculate y(184).
-1
Let z(q) = 3*q**2 + 1314*q + 23848. What is z(-419)?
-35
Let y(n) = -51*n**3 + 170*n**2 + 278*n - 992. Determine y(3).
-5
Let v(y) = 607*y - 71012. Determine v(117).
7
Let s(g) = 266*g + 3124. Calculate s(-10).
464
Let m(w) = -3*w**3 + 146*w - 893. What is m(0)?
-893
Let y(d) = 1557*d + 53611. Calculate y(-32).
3787
Let h(n) = 15*n**2 - 566*n + 2480. What is h(5)?
25
Let j(o) = 5*o**3 - 3237*o**2 + 1185*o + 70521. Give j(647).
-2
Let d(h) = -228*h + 18783. Determine d(77).
1227
Let b(x) = 53*x**2 - 3709*x - 3709. Calculate b(-1).
53
Let y(j) = -45911*j - 1193671. Give y(-26).
15
Let n(q) = -416*q - 28327. Give n(-68).
-39
Let f(y) = -y**3 + 58*y**2 + 34*y - 2129. What is f(58)?
-157
Let o(q) = -4*q**3 - 16*q**2 + 633*q + 1275. Determine o(-2).
-23
Let a(c) = c**3 + 106*c**2 - 221*c - 614. What is a(-108)?
-74
Let s(f) = -7*f**2 - 5172*f + 5173. What is s(1)?
-6
Let z(y) = -10*y**3 + 1049*y**2 + 58*y + 4950. Give z(105).
15
Let h(v) = 5*v**2 + 3148*v - 27191. Determine h(-638).
-395
Let i(a) = 24*a**2 - 1054*a - 11505. What is i(53)?
49
Let b(h) = -160305*h - 258. Calculate b(0).
-258
Let s(n) = 2*n**2 + 58*n + 480. Give s(-26).
324
Let y(x) = -x**3 - 50*x**2 + 687*x + 857. Determine y(-61).
-119
Let f(h) = -380803*h + 761610. Give f(2).
4
Let g(r) = -543*r - 118839. What is g(-219)?
78
Let g(b) = b**2 + 3*b - 75. Calculate g(16).
229
Let d(f) = -8*f**2 - 9170*f + 82433. Give d(9).
-745
Let g(m) = -95617*m + 1051782. Calculate g(11).
-5
Let v(y) = 18310*y + 567137. What is v(-31)?
-473
Let u(c) = -2612*c - 57472. What is u(-22)?
-8
Let q(j) = 35*j**2 + 1448*j + 11329. What is q(-31)?
76
Let q(t) = 15*t**3 + 554*t**2 - 69*t - 1173. Determine q(-37).
11
Let f(x) = -41*x**3 + 27*x**2 - 103*x + 13. What is f(4)?
-2591
Let m(t) = 4*t**2 - 789*t + 8952. Give m(12).
60
Let o(u) = -2*u**3 - 8*u**2 + 273*u + 3147. Calculate o(-11).
1838
Let h(w) = 108*w + 594. Determine h(-10).
-486
Let v(d) = 17570*d - 87627. Give v(5).
223
Let k(a) = 372*a - 9052. Determine k(23).
-496
Let t(j) = 92*j**2 - 1044*j + 4154. Calculate t(4).
1450
Let j(f) = -64*f**3 - 2109*f**2 + 96*f - 110. Give j(-33).
-11
Let q(x) = 11947*x + 53461. Calculate q(-4).
5673
Let x(n) = 7813*n + 789099. Give x(-101).
-14
Let g(k) = 61*k**3 + 547*k**2 + 2*k + 12. What is g(-9)?
-168
Let o(u) = 7589*u - 3589592. Determine o(473).
5
Let a(h) = 1635*h + 67005. Give a(-41).
-30
Let a(z) = -2*z**3 - 268*z**2 + 547*z + 571. Calculate a(-136).
163
Let i(n) = 43*n**2 - 11743*n + 1168. What is i(273)?
76
Let u(n) = -47*n**3 - 1086*n**2 - 37*n + 34. Calculate u(-23).
-1760
Let r(m) = -635*m + 9689. Give r(19).
-2376
Let p(j) = -8*j**2 - 159*j + 2213. Calculate p(11).
-504
Let z(l) = 961*l + 14580. Calculate z(-15).
165
Let g(c) = 2*c**3 + 62*c**2 - 88*c + 1376. What is g(-33)?
-76
Let o(t) = -298*t**2 - 9*t + 47. What is o(0)?
47
Let k(m) = 4*m**3 + 27*m**2 - 5*m + 253. Determine k(-8).
-27
Let d(r) = r**3 - 65*r**2 - 84*r + 1165. What is d(66)?
-23
Let c(j) = 4*j**2 + 701*j - 5822. Calculate c(8).
42
Let j(d) = d**2 - 7035*d + 28112. Give j(4).
-12
Let i(b) = -2629*b + 891230. What is i(339)?
-1
Let y(s) = 40*s**2 - 84369*s - 234431. Calculate y(2112).
1
Let k(x) = 2*x**3 - 859*x**2 + 3103*x - 51571. What is k(426)?
-25
Let b(y) = 3*y**2 - 1074*y - 6442. Calculate b(-6).
110
Let o(q) = 270*q + 2126. Calculate o(-8).
-34
Let r(w) = -33*w**2 - 431*w + 1548. Determine r(-16).
-4
Let n(s) = s**3 + 29*s**2 - 246*s - 723. Calculate n(-33).
3039
Let z(w) = -33*w**3 + 893*w**2 - 53*w - 16. What is z(27)?
11
Let l(o) = -50*o**2 - 9146*o + 620. What is l(-183)?
-112
Let o(g) = -2*g**2 - 273*g - 4392. Determine o(-19).
73
Let p(h) = -19*h**3 + 16*h**2 - 36*h + 37. What is p(1)?
-2
Let k(l) = -131*l**3 - 130*l**2 - 117*l - 120. Give k(-1).
-2
Let m(y) = 26*y**3 - 8*y**2 + 66*y + 154. Calculate m(-2).
-218
Let z(p) = 17*p - 4015. What is z(234)?
-37
Let g(q) = q**2 - 2914*q + 229470. Calculate g(81).
-3
Let s(l) = 5*l**3 - 907*l**2 - 547*l + 159. Calculate s(182).
-23
Let v(x) = -3062*x + 132164. Calculate v(43).
498
Let o(c) = -c**3 + 11*c**2 + 1032*c - 7454. Give o(7).
-34
Let q(u) = -5*u**2 - 804*u + 11725. What is q(15)?
-1460
Let f(p) = 31*p**3 + 9*p**2 - 81*p - 78. Calculate f(-1).
-19
Let t(i) = -i**2 - 465*i + 11725. What is t(24)?
-11
Let a(y) = -1112508*y + 10012568. What is a(9)?
-4
Let p(g) = 2*g**2 - 63*g - 14100. Determine p(101).
-61
Let w(n) = -469*n - 17731. Calculate w(-38).
91
Let f(s) = 2*s**3 - 327*s**2 - 2220*s + 554. What is f(170)?
-1146
Let i(r) = -501*r - 2435. Determine i(-5).
70
Let t(w) = -7*w**3 - 2*w**2 - 18*w + 58. Calculate t(6).
-1634
Let g(m) = 4*m**2 - 1231*m + 4885. Calculate g(4).
25
Let h(u) = -18*u - 169. What is h(93)?
-1843
Let m(r) = -2*r**3 + 202*r**2 - 205*r + 566. Calculate m(100).
66
Let n(r) = -3*r**3 - 78*r**2 + 7*r - 94. Give n(-26).
-276
Let i(h) = -2*h**2 - 4495*h + 377223. What is i(81)?
6
Let z(o) = -20*o**2 - 288*o - 339. What is z(-15)?
-519
Let x(m) = -2644*m**2 + 182433*m + 221. Calculate x(69).
14
Let x(q) = -5*q**2 + 1556*q + 14039. What is x(-9)?
-370
Let o(k) = -6*k**3 - 2*k**2 + 68*k + 356. Give o(-5).
716
Let s(b) = -13222*b + 766557. What is s(58)?
-319
Let c(s) = -40*s - 1066. What is c(-21)?
-226
Let k(a) = 950*a**2 + 58*a - 151. What is k(2)?
3765
Let m(j) = -j**3 - 6*j**2 + 37*j + 406. Calculate m(-8).
238
Let r(k) = -10*k**2 - 633*k + 4363. Give r(7).
-558
Let j(w) = -5690*w - 1951621. What is j(-343)?
49
Let w(s) = 77*s**2 + 17*s - 9. Determine w(-3).
633
Let r(i) = -121*i - 3486. Determine r(-18).
-1308
Let t(o) = 3*o**3 + 29*o**2 - 289*o + 188. Determine t(6).
146
Let l(q) = q**3 + 110*q**2 + 28*q - 8908. Give l(-109).
-79
Let v(w) = -7219*w + 2764948. What is v(383)?
71
Let d(m) = -189*m - 22491. What is d(-122)?
567
Let j(c) = -2*c**2 - 68*c - 146. Give j(-27).
232
Let g(m) = m**3 - 11*m**2 - 4080*m + 40925. Give g(10).
25
Let b(i) = 467*i + 5404. Determine b(-13).
-667
Let n(x) = -45*x + 2707. Determine n(58).
97
Let j(n) = -274*n + 4675. What is j(17)?
17
Let z(p) = -933*p - 21448. Calculate z(-23).
11
Let d(h) = h**2 + 113*h - 2308. Give d(17).
-98
Let l(y) = 2*y**3 + 577*y**2 - 9102*y - 58. Give l(15).
-13
Let i(n) = 46452*n - 92767. What is i(2)?
137
Let x(m) = 35*m**3 + 767*m**2 - 56*m + 8. Give x(-22).
-212
Let z(k) = 7*k**2 - 15781*k - 110794. Give z(-7).
16
Let q(k) = -22*k**2 - 23*k + 31. What is q(-6)?
-623
Let o(w) = 2088*w - 286129. Determine o(137).
-73
Let o(y) = -y**3 + 38*y**2 + 21636*y - 698502. Give o(32).
-6
Let z(c) = -6*c**2 + 318*c - 2798. Give z(11).
-26
Let j(x) = 16694*x + 383970. Determine j(-23).
8
Let a(t) = 10640*t + 84266. Give a(-8).
-854
Let w(b) = -16073*b - 3680721. Determine w(-229).
-4
Let d(n) = -210*n**2 + 1058*n + 4. Determine d(5).
44
Let n(z) = -22*z**3 + 161*z**2 - 588*z + 8. Give n(4).
-1176
Let a(k) = -3*k**3 + 16*k**2 - 86*k + 663. Determine a(7).
-184
Let a(i) = -87*i - 2279. Give a(-21).
-452
Let v(z) = 51*z + 484. What is v(-9)?
25
Let d(q) = -9115*q - 2005322. Give d(-220).
-22
Let f(x) = -84*x**3 - 87*x**2 - 173*x + 18. Determine f(-2).
688
Let y(n) = -n**3 - 181*n**2 - 533*n + 108. What is y(-178)?
-70
Let o(l) = -16*l**2 - 810*l - 5993. Calculate o(-9).
1
Let w(q) = -q**3 - 10*q**2 + 131*q + 677. Give w(-17).
473
Let s(h) = -8430*h + 118027. What is s(14)?
7
Let t(n) = n**2 + 69551*n - 834752. What is t(12)?
4
Let g(i) = -i**2 + 1504146*i - 22561962. What is g
|
{
"pile_set_name": "DM Mathematics"
}
|
rest ten?
0
Let d = 7.5 - 7.49776. What is d rounded to 4 dps?
0.0022
Let i = 5.9 + -5.8999985. What is i rounded to six decimal places?
0.000002
Let u = 6479.1 - 6481.9049. Let m = u - -2.8. What is m rounded to three decimal places?
-0.005
Let g = 61.87 + -104.04. Let m = g + 42. Let o = 0.1699945 + m. Round o to 6 decimal places.
-0.000006
Suppose 2*b - b + 40000 = 0. What is b rounded to the nearest one hundred thousand?
0
Let k = 63.06773 + -63. Let o = -0.068 + k. Round o to 4 decimal places.
-0.0003
Let k(w) = 8*w**2 - 13*w - 24. Let n(i) = -3*i**2 + 4*i + 8. Let u(v) = 4*k(v) + 11*n(v). Let y be u(-6). Suppose y*c - 150 = 2*c. Round c to the nearest 10.
80
Let k = 0.027 - 0.257. Let l = 0.07 - k. Round l to 1 decimal place.
0.3
Let j be (-9)/(36/(-116800))*250. Round j to the nearest one million.
7000000
Let m(p) = 2*p + p**2 - 29 + 22 + 14 + 6*p. Let s be m(-7). What is s rounded to 7 dps?
0
Let t = 3.4 - 3.351. Round t to two dps.
0.05
Let l = -1 + 1.011. Let r = -73 + 72.9844. Let p = l + r. What is p rounded to three decimal places?
-0.005
Let z be 3 + -3*(-1)/(-3). Let k be -2250*((-640)/(-3))/z. What is k rounded to the nearest 100000?
-200000
Let k be 1/(-2) + 3767/(-2). Let l be -3072*(k/9 - -1). Round l to the nearest 100000.
600000
Let o(g) = -5 + 5 + g - 18 - 8. Let z be o(0). Round z to the nearest 10.
-30
Let y be 1100008 + -12 + 4*1. What is y rounded to the nearest 100000?
1100000
Let d = 248.113 + -248. What is d rounded to 2 dps?
0.11
Let t = -0.8 + 1.19. Round t to one dp.
0.4
Let a = 83937 + -117577. Let l = 33593.937 + a. Let r = 46 + l. Round r to 2 decimal places.
-0.06
Let w = -286.9821 - -287. Round w to three dps.
0.018
Let o = -1209897589.2 - -1209897589.09720896122. Let b = -54.10279060878 - o. Let m = b + 54. What is m rounded to seven dps?
0.0000004
Suppose -4*y = -2*r + 12, -5*r = 4*y - 8*y - 12. Let m be (-3 - -4)/(y/(-339)). Round m to the nearest ten.
110
Suppose 89627 = -4*i + 815147. Let d be (222/8)/(3/90960). Let b = i - d. What is b rounded to the nearest 100000?
-700000
Let m = -3624.54 + 3624.839999. Let b = -2 - -2.3. Let g = m - b. What is g rounded to 7 dps?
-0.000001
Let v = 814332.5 - 528444. Let c = v + -285885.299942. Let m = 3.2 - c. Round m to 5 decimal places.
-0.00006
Let a = 49.9938 - 50. What is a rounded to 3 decimal places?
-0.006
Let d = -0.98232 - -0.98. What is d rounded to 4 dps?
-0.0023
Let r be 1943997/12 - 7/(-28). What is r rounded to the nearest ten thousand?
160000
Let a = 16165 + -58278. Let l = a - -42147.858. Let f = -35 + l. Round f to 2 decimal places.
-0.14
Let m = 1275 - 485. What is m rounded to the nearest 100?
800
Let l = 817783 + -817782.6700046. Let c = 6.63 - 6.3. Let r = c - l. What is r rounded to 6 decimal places?
0.000005
Let x = 2.35 + -2. Let g = 1891.54947 + -1891.2. Let v = x - g. What is v rounded to four decimal places?
0.0005
Let a = -13860.6600056 - -13859.96. Let o = -0.7 - a. What is o rounded to 6 decimal places?
0.000006
Let i(t) = -9*t**3 - 3*t**2 + t - 6. Let q be i(-3). What is q rounded to the nearest ten?
210
Let r = 2 + -3. Let d = r - 0. Let w(c) = -1061*c - 1. Let x be w(d). What is x rounded to the nearest one hundred?
1100
Let r = 0 + 2. Suppose 2*b - 4 = -r*l, -2*b + 3*l - 2 + 6 = 0. Suppose -5*z + b*z - 90 = 0. Round z to the nearest ten.
-30
Let p = -0.7 - -42.7. Let g = p + -96. Let k = g - -59.3. What is k rounded to the nearest integer?
5
Let a = -1.45 - -0.7. Round a to one dp.
-0.8
Let v = -14908660 + 14908654.2000062. Let r = v - -5.8. Round r to 6 decimal places.
0.000006
Let q = 243 - 204.4. Let k = q - 0.6. Let t = 37.9958 - k. Round t to three dps.
-0.004
Let n(g) = g + 6044555. Let s be n(0). Let j(f) = 2128911*f. Let q be j(5). Let d = s - q. Round d to the nearest one million.
-5000000
Suppose -x - 2 = 1. Let i(y) = 5*y**3 + 2*y**2 + 3*y - 3. Let j be i(x). What is j rounded to the nearest ten?
-130
Let q = 4035 - 135. What is q rounded to the nearest 1000?
4000
Let h be -2 - 1 - (0 + -215). Suppose 0 = -4*c - 5*s + h, -2*c + 78 = -c - 5*s. Round c to the nearest 10.
60
Let k(h) = 86899*h + 15. Let o be k(-6). Let d = -258621 + o. Round d to the nearest one hundred thousand.
-800000
Suppose -20 = -5*g, -2*u - 3*g = -11 - 5. Let v be -2*(7/2 - u). What is v rounded to the nearest 10?
0
Let a be (-36)/(-16) + (-1)/4. Suppose -a*s = 2*s + 131180. Let u = s + 99795. Round u to the nearest 10000.
70000
Let b = -0.032 + -0.02. Round b to 2 dps.
-0.05
Let n be 4*2/8 + -4331. Let c = n + -45670. What is c rounded to the nearest one hundred thousand?
-100000
Let o = -340 + 340.0597. Let m = -0.057 + 0.126. Let i = o - m. What is i rounded to three decimal places?
-0.009
Let s = -0.5 - 0.3. Let p = s - -0.21. What is p rounded to one dp?
-0.6
Let k = 29016.24966 + -29016. Let g = k + -0.25. What is g rounded to 4 decimal places?
-0.0003
Suppose -37 = -4*v - 5*r, -r - 16 = 5*v - 6*v. Suppose -8 = 11*l - v*l. Let n(x) = 2655*x**3 + 6*x**2 - 3*x - 4. Let m be n(l). Round m to the nearest 100000.
200000
Let k = 29365470987142 + -29365460069792.0000056. Let u = 10917345 - k. Let r = 5 + u. What is r rounded to 6 decimal places?
0.000006
Let i = 110.99859 + -111. What is i rounded to four dps?
-0.0014
Let t = 50.8000257 + -50.8. Round t to 5 decimal places.
0.00003
Let x = -9.9332 + 0.0192. Let t = -0.114 - x. Round t to 0 dps.
10
Let b = 6 + -6. Suppose b = -2*o - 0*o - 4*k - 1939996, -3*o - 2910001 = -k. Round o to the nearest one hundred thousand.
-1000000
Suppose -375010 = -v - 2*m, 0 = 5*v - 5*m - 863308 - 1011667. Round v to the nearest ten thousand.
380000
Let i = 16702.00042 - 16674. Let q = i - 28. Round q to four decimal places.
0.0004
Let d = 760 - 400. What is d rounded to the nearest one hundred?
400
Let o(v) = v**3 + 12*v**2 + 12*v + 5. Let l be o(-5). What is l rounded to the nearest 100?
100
Let l = 1262 - 662. Round l to the nearest one hundred.
600
Let d = 1.11765 + 9.88855. Let y = 18 + -7. Let n = d - y. Round n to 3 decimal places.
0.006
Let d = -80.725372 + 65.0253887. Let z = -15.7 - d. Round z to 6 dps.
-0.000017
Let n = -921156 - -1791156. What is n rounded to the nearest 100000?
900000
Let f = -13.678 - -13.8. What is f rounded to 2 dps?
0.12
Let n = -0.06 - 1.02. Let v = -10.2 - -11. Let y = n + v. Round y to one decimal place.
-0.3
Let t = 10 + -6. Let h be -1 - 0 - t*6. Let f be (-2)/5 + 107490/h. Round f to the nearest one thousand.
-4000
Let n = 8 - 0. Let k = -1 - n. Let u = k - -8.9999993. What is u rounded to 6 dps?
-0.000001
Let g = 37 + -127. Round g to the nearest ten.
-90
Let a(u) be the first derivative of -2504*u**2 - 1. Let h be a(-1). Let f = h - 2508. Round f to the nearest 1000.
3000
Let c = -1 + 0.4. Let h = 7.4 - c. Let o = 8.0022 - h. What is o rounded to 3 dps?
0.002
Suppose -6 = -5*m + 69. Let h be 1/(-3) + 239510/m. Let i = h - 10067. What is i rounded to the nearest one thousand?
6000
Suppose 0 = -5*j + 26 - 1, -4*o = -3*j - 1083985. What is o rounded to the nearest one hundred thousand?
300000
Let u = -1549811 + 609811. What is u rounded to the nearest 100000?
-900000
Let p = -307 + 1277. Suppose -6308 = w + 2*s, -s - p = 4*w + 24234. Round w to the nearest 1000.
-6000
Suppose 3*o - 3 = 6. Suppose -o*s - 390258 = 209742. Round s to the nearest 1000000.
0
Let n = -143294.654 - -143483. Let c = 188 - n. Let x = c - -0.056. Round x to one dp.
-0.3
Let n = -7.986 + 8. Round n to two decimal places.
0.01
Let y = -5.1 + 5.1216. What is y rounded to three decimal places?
0.022
Let u = -2671.661 - -2673. Let p = u + -0.019. Round p to 1 dp.
1.3
Let n = 261 - 146. Let q = 12402698.699909 + -12402813.7. Let a = n + q. What is a rounded to 5 dps?
-0.00009
Let m = -34.657 + 34.5. What is m rounded to 2 decimal places?
-0.16
Suppose 4*w - 1517774 = 7482226. Round w to the nearest one hundred thousand.
2300000
Let z = 2049.175 + -2048.6749943. Let b = -0.5 + z. Round b to six dps.
0.000006
Let z = 94 + -93.99999923. Round z to 7 decimal places.
0.0000008
Let j(z) = 2036*z**3 + 7*z**2 - 8*z + 20. Let h be j(6). Round h to the nearest 100000.
400000
Let r(x) be the first derivative of 17*x**3 - x**2/2 - 12*x + 4. Let k be r(-6). What is k rounded to the nearest one hundred?
1800
Let b = 5.3298
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*v. Suppose -v = l + l. What is c(l)?
-5
Let f(p) be the third derivative of -p**4/24 + 7*p**3/6 + 5*p**2. Let d be f(5). Let n(k) = 3 + k - 3*k + 2*k - k - k**d. What is n(-3)?
-3
Let n be (99/(-18))/((-2)/(-4)) + 5. Let f(l) be the second derivative of l**5/20 + l**4/2 - l**3/6 + l. Give f(n).
6
Let m(b) = -b**3 - 6*b**2 - 7*b - 5. Suppose 2*z + 0 = 20. Let g be 52/(-10) + 2/z. What is m(g)?
5
Let p(d) = -d**2 - 4*d - 2. Let g be p(-2). Let l(f) = 1 - f - 1 - g*f. Give l(-1).
3
Let l(o) = 5*o - 1. Let v(n) = 4*n. Let s(q) = 3*l(q) - 4*v(q). What is s(-4)?
1
Let k(m) = 3*m**2 - m. Let a be k(-1). Let v(h) = 2 - a*h**2 + h**3 - 1 - 2*h**3 - h + 2. Calculate v(-4).
7
Let k(i) = 4*i + 13. Let c be k(-5). Let f(t) = t**2 + 10*t + 3. Determine f(c).
-18
Let n(a) = 2*a**2 - 10*a + 12. Let z(h) = h**2 - 5*h + 6. Let d(s) = 3*n(s) - 5*z(s). Suppose 4*g - 3 = 9. Let v be g/12 + 19/4. Give d(v).
6
Let v(g) = 9*g**2 + 10*g - 8*g + 3 - 4*g - 2. Determine v(1).
8
Suppose -2 = z + 3. Let d(k) = k**3 + 5*k**2 - k - 6. What is d(z)?
-1
Let c(w) = -w**3 - w + 13. Let h(y) = y**3 + y**2 - 14. Let v(n) = -7*c(n) - 6*h(n). Suppose a - 5 = -0*a. Calculate v(a).
3
Let g(p) be the second derivative of 7*p**3/6 + 3*p**2/2 + 11*p. What is g(-2)?
-11
Let m = -3 + 5. Suppose -2*x - m*x + 52 = 0. Let v(k) = -6 - 2*k + 3*k + x. Calculate v(-4).
3
Let r(k) = -k**3 + 9*k**2 - k + 11. Let z be (-4)/8 + 38/4. Let v be r(z). Let p(s) = 0 + v - s - 2. Determine p(0).
0
Let c = -6 - -12. Suppose c*h = 5*h. Let p(a) = a + 2. What is p(h)?
2
Let l = 29 + -41. Let q = l - -12. Let c(b) = -b - 3. Calculate c(q).
-3
Suppose -x + 0*x = -3. Let p(n) = n**2 - x + 5 + n**3 + 2*n - 5*n. Give p(-3).
-7
Let p = -3 - -5. Let q be (-5 + p)*(-4)/(-6). Let i(d) = d**3 + d**2 - 4*d - 3. Give i(q).
1
Let o(k) = -35*k - 34*k - 33*k + 103*k. Determine o(3).
3
Let i(s) = -s**2 - 3*s + 4. Suppose -3*o - 29 - 28 = 0. Let f = -10 - o. Let q be ((-4)/2)/(6/f). Calculate i(q).
4
Let b(x) be the third derivative of 0*x - 1/6*x**3 - 8*x**2 + 0 - 1/20*x**5 - 1/12*x**4. Calculate b(-1).
-2
Let k(y) = -4*y + y**3 - 3 + 1 + 6*y + 4*y**2. Let t(q) = 2*q**2 - 3*q + 1. Let w be t(2). Suppose w*r - 7*r = 12. Determine k(r).
1
Let z = 56 - 51. Let d(t) = -t**3 + 6*t**2 - 8*t + 3. Calculate d(z).
-12
Let y(q) = 16*q - 6. Suppose 0 = -3*n - 2 - 4. Let t(r) = -3*r + 1. Let s(x) = n*y(x) - 11*t(x). Calculate s(-6).
-5
Let l = -16 - -22. Let q(j) be the third derivative of -j**5/60 + 5*j**4/24 + j**3/6 + 3*j**2. Give q(l).
-5
Let f(n) = -n**3 + 5*n**2 - 3*n. Let i = -4 - -2. Let s = 0 + i. Let o be s/9 + 29/9. Give f(o).
9
Let k(v) = 5*v + v**3 + 4 + 4*v**2 - 3*v - 6 - 2. Suppose 0 = -2*b - 5 - 1. Calculate k(b).
-1
Let a = 12 + -10. Let j(f) = f**2 + 1. Determine j(a).
5
Let k(q) = q**2 + q. Let y be k(-1). Let b(c) = -c**2 + c + 6. Give b(y).
6
Let c(s) be the third derivative of -s**6/360 + s**5/40 + s**4/12 - 3*s**2. Let y(a) be the second derivative of c(a). Suppose -10 - 2 = -3*l. What is y(l)?
-5
Let p(d) = 2*d**3 + 3*d + 2 - 3*d - 3 - 3*d. Give p(-2).
-11
Let m(t) = -97 - 2*t + 100 - 2*t. Let s be 3 + 0/1 - 0. Determine m(s).
-9
Let l(w) = w - 7. Let c be l(7). Suppose c = 5*r - 9 - 11. Let v(y) = -y**2 + 4*y - 2. Give v(r).
-2
Let t = -5 - -7. Suppose a - 15 = -3*f + 2, -2*a - f + 9 = 0. Let j(g) = -2*g**3 + 2 + g**3 + 3*g**a - 2*g**2. Give j(t).
-2
Let j = 2 - -2. Let f(s) = 0 + 6 - 1 - j*s. Give f(4).
-11
Suppose 0 = -6*c + 2*c. Suppose c*t = -t. Let s(b) = b + 2*b**3 - 3*b**3 - 2*b**3 + 2*b**3 + 5. Give s(t).
5
Let h(v) be the first derivative of -v**2/2 - 6*v - 8. Calculate h(-7).
1
Let o(k) = -k**2 - 4*k + 5. Let l(a) = a - 5. Let d be l(8). Suppose -2*p + 12 = -d*p. Let t be -3 - p/(-3) - -3. Give o(t).
5
Let m(k) = k**2 + 11*k + 2. Let q be m(-11). Let l(i) = -i**3 + i**2 + 1. Determine l(q).
-3
Let m(a) = 7*a**2 + 7*a - 7. Let g(k) = 3*k**2 + 3*k - 3. Let q(f) = 9*g(f) - 4*m(f). Let o(t) = t + 19. Let j be o(-18). Calculate q(j).
-1
Let x(d) = d**3 + 5*d**2 - 4*d + 6. Let y = 35 - 41. What is x(y)?
-6
Let o(w) = -w**2 - 5*w + 5. Let r(q) = q**2 + 4*q - 4. Let a(p) = -5*o(p) - 6*r(p). Suppose 12*g - g - 11 = 0. What is a(g)?
-1
Let t(z) = -8*z**2. Let l = 27 + -28. What is t(l)?
-8
Let k(y) = 7*y**3 + 4*y**2 - 9*y - 8. Let c(w) = -w**3 - w**2 + w + 1. Let q(j) = -6*c(j) - k(j). Suppose -22 = 6*x - 40. Determine q(x).
2
Let r(q) = -q**3 + 2*q**2 + 2*q - 2. Let i(p) = 9*p - 9. Let o(d) = -5*d + 5. Let f(g) = -6*i(g) - 11*o(g). Let y be f(4). Determine r(y).
-5
Let d = 12 + -18. Let i(x) = -2*x**2 - 14*x - 7. Let m(h) = -h**2 - 7*h - 4. Let b(t) = -3*i(t) + 5*m(t). Calculate b(d).
-5
Let v(f) = -f**2 + f - 4 + 4 + 1 - f**3 + 2*f**2. Let i(p) = -7*p**3 + 9*p**2 + 7*p + 7. Let c(x) = -i(x) + 6*v(x). Give c(2).
-7
Let h(v) be the first derivative of -v**4/4 - 7*v**3/3 - 3*v**2/2 - 5*v + 4. Determine h(-7).
16
Let h(z) = z**3 + 3*z**2 - 2*z - 2. Let o be h(-3). Let v be 1*-3 + (-12)/o. Let i(b) = -b**2 - 6*b + 1. Determine i(v).
1
Let v(x) be the third derivative of 0 + 4*x**2 + 0*x - 5/6*x**3 - 1/24*x**4. Give v(-4).
-1
Let j(i) = 7*i**3 + 9*i**2 - 3*i + 4. Let z(s) = -20*s**3 - 26*s**2 + 8*s - 12. Let x(g) = 17*j(g) + 6*z(g). Determine x(-3).
5
Let x(k) be the first derivative of -k**6/360 - k**5/20 - k**4/4 - k**3 - 1. Let v(p) be the third derivative of x(p). Calculate v(-6).
-6
Let t(r) = r**2 - 3*r - 2. Suppose 0 = 4*b + b - 70. Let k = -10 + b. Determine t(k).
2
Suppose 3*q - 3 = 0, -4*a + 5*q - 1 = -0. Let u(s) = -1 - a - s + 5. Calculate u(2).
1
Let a(l) = -l**2 - 8*l - 4. Let m be (2/5 - 57/5) + 3. Calculate a(m).
-4
Let d(i) be the first derivative of -i**2/2 - i + 2. Give d(-10).
9
Let r(t) be the first derivative of t**3/3 - t**2/2 - 2. Let q be r(1). Suppose -4*u = -q + 12. Let k(y) = -y**2 - 2*y + 4. Calculate k(u).
1
Suppose 5 = 3*r - 1. Let q(a) = a**2 + 5 + 0*a - 3 + r*a + a**2. Determine q(-2).
6
Let p(c) = c - 3. Let f be p(8). Let w be (-2 + f)/3 + -2. Let h(s) = 7*s**3 + 1. What is h(w)?
-6
Let c(n) = 17*n**3 - 2*n**2 + 11*n - 11. Let h(t) = -9*t**3 + t**2 - 6*t + 6. Suppose 2*s + 12 = -0. Let v(b) = s*c(b) - 11*h(b). Give v(1).
-2
Suppose -s = 4*s - 25. Let f(m) = -m**3 + 5*m**2 + 2*m - 2. Give f(s).
8
Suppose 0 = -3*l + 9 - 3. Let d(z) = -l - 4 + 10 - z. What is d(5)?
-1
Suppose -5*y - 2*m + 17 = 0, 2*m = 5*y - m - 12. Suppose -y*j - 6 = -j. Let k(z) = 1 + 1 + 2 + 4*z + z**2. Determine k(j).
1
Let k(o) be the first derivative of -o**4/12 + 9*o**2/2 + 4*o - 4. Let i(r) be the first derivative of k(r). Determine i(0).
9
Suppose -3*j = -4*j + 6. Let l(w) = w + 1. Determine l(j).
7
Let v(h) = h**3 - 8*h**2. Let t(s) = s**3 - 9*s**2. Let k(g) = 3*t(g) - 4*v(g). What is k(5)?
0
Let l = -69 - -72. Let f(p) = -p**2. Let q(j) = 3*j**2 + 3*j + 2. Let b(t) = 4*f(t) + q(t). Calculate b(l).
2
Suppose 0 = 3*g + 6, 0*j + 3*g = -j - 3. Let i(a) = -17*a**2 + 12*a + 21. Let c(b) = 4*b**2 - 3*b - 5. Let v(m) = 9*c(m) + 2*i(m). What is v(j)?
6
Let m(f) = -8*f - 3. Let s(x) = 17*x + 7. Let j(i) = 13*m(i) + 6*s(i). Suppose -4*y = -119 + 23. Suppose o = 5*p + y, p + 5 = 2*o - 7. Determine j(o).
-5
Let y(h) = -h**3 - 7*h**2 + h + 7. Let k be y(-7). Suppose -5*u + 2*u + 9 = 3*j, 0 = j - 4*u - 18. Let b(q) = -3*q + k*q + j*q + 3. Calculate b(-3).
-6
Let n(t) = -t**3 + 4*t**2 + 2*t. Suppose 8 = -21*r + 23*r. Determine n(r).
8
Let z(w) = w**3 - 7*w**2 + 6*w + 4. Let p = 58 + -52. What is z(p)?
4
Let b(u) = 11*u**3 - 16*u**2 + 26*u + 38. Let r(s) = 7*s**3 - 11*s**2 + 17*s + 25. Let w(n) = -5*b(n) + 8*r(n). Give w(7).
3
Let k = -64 - -59. Let q(w) = -w - 1. Calculate q(k).
4
Let c(r) = -2*r**2 - r - 1. Suppose j + 6 = 4*j. Suppose -j*i = -13 - 9. Suppose 0*l = 3*l + 5*k + i, 4*l + 2*k + 10 = 0. Determine c(l).
-7
Let q be (-4 - -2)*(-3)/2. Let x(l) = -2 + 3*l + l**q + 1 + 3*l**2 + 3. Let c be (4 - 2) + (-8)/2. Give x(c).
0
Let q(g) = -7*g**3 + 3*g**2 + g. Let w(a) = a**3 - a**2. Let j(r) = -q(r) - 6*w(r). Calculate j(-3).
3
Let f(g) = -g**2 - 4*g + 7. Let h be f(-5). Let z(w) = 2*w + 1. Determine z(h).
5
Let c(s) be the second derivative of s**4/12 - 2*s**3/3 + 3*s**2/2 + 3*s. Calculate c(3).
0
Suppose 0 = d - 3*d + l, 4*d - 20 = -3*l. Suppose -8 + d = -3*w. Let k(t) = w*t**2 + t + 1 + t**2 - t**2. Give k(-1
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 11*x - 60 = 6*x + 5*c, 3*c = -5*x + 52. Suppose x*a = i*a - 5*u - 38, -4*a + 3*u + 237 = 0. What is the tens digit of a?
6
Let s(j) = -25*j - 46. Let q be s(-2). Suppose 3*r - 11 = 19. Suppose -r - q = -2*t. What is the units digit of t?
7
Let t(u) = 2*u + 26. Suppose 3*k + 12 = 0, -k + 42 = 5*b + 6. Let r = b - 13. What is the units digit of t(r)?
6
Let x(j) = -4*j - 13*j**3 - 5*j + 8*j**2 + 14*j**3. Let q be x(-9). Suppose q = 11*g - 7*g - 392. What is the units digit of g?
8
Let h = 1574 + -1594. Let v be (73/(-2))/(2/(-20)). What is the hundreds digit of (8/h)/(-1)*v - 3?
1
Let j(i) = -3*i**3 - 2*i - 1. Let y(u) = -503*u**3 + u**2 + 11*u + 5. Let d(x) = 5*j(x) + y(x). What is the units digit of d(-1)?
8
Suppose -4*q - 4*f = -8*f - 6612, -3*q = 3*f - 4941. What is the units digit of q/4 - 6/4?
1
Let k(t) = 27 + 30 - 79 + 21 - 21*t. Suppose -5*o + 5*i - 24 = 1, o - 4*i = -14. What is the units digit of k(o)?
1
Let j(h) = 2*h**2 + 34*h - 66. Let t be j(-24). Let c = -96 + t. What is the hundreds digit of c?
1
Let b(z) be the third derivative of 109*z**5/60 + z**4/12 - 5*z**3/2 + 210*z**2. What is the units digit of b(3)?
2
Suppose -f = -2*t - 149, 0 = 3*t - 3 + 6. Suppose -2*y = 3*m - 219, -2*y = -2*m - f - 57. What is the hundreds digit of y?
1
Let d = -44621 + 65259. What is the tens digit of d?
3
Suppose 5*f = -3*d + 5261, 19*f = -4*d + 23*f + 7036. What is the tens digit of d?
5
Let w be (-2)/4 - (-190862)/28. Suppose 9*i = w + 1599. What is the hundreds digit of i?
9
What is the units digit of ((-20)/12)/(205/(-1556934))?
8
Suppose 4*k - 210243 = -3*n, -10253*k + n = -10256*k + 157676. What is the thousands digit of k?
2
Suppose 4*n = -n + 10. Suppose -t = n*t - 204. Suppose -i = -0*i - t. What is the units digit of i?
8
What is the tens digit of (-5 - (-1896)/(-60))/((44/40)/(-11))?
6
Let y(q) = -254*q + 104. Let u be y(-3). Let w = u + -218. What is the units digit of w?
8
Suppose 50*h - 43*h - 43722 = 0. What is the thousands digit of h?
6
Let v = -14 - -17. Let t(n) = -n**2 - n + 6. Let c be t(v). What is the tens digit of ((-39767)/(-42))/19 + (-1)/c?
5
Suppose 0 = 3*l + 4*q - 36770, 12*q + 20 = 7*q. What is the thousands digit of l?
2
Let p = -619 - -623. Suppose 2*v + 10 = 0, 7*v = -w + p*v + 463. What is the units digit of w?
8
What is the hundreds digit of 489 - ((-30)/(-35))/((-5)/(-175)*-5)?
4
Let g be 11/5 + (-8)/(-10). Let v be -10 - -1*(g - 6). Let w(f) = -5*f + 5. What is the tens digit of w(v)?
7
Let z(b) = -7*b - 39. Let d(o) = -o**3 - 6*o**2 + o + 18. Let g be d(-6). Let p be ((-22)/(-12) - 2)*4*g. What is the tens digit of z(p)?
1
Suppose 3*m - 544 = -154. Let h = -340 + 603. Suppose 2*l - 3*o - h = 0, 3*o = -l + 6*o + m. What is the units digit of l?
3
Suppose 0 = -30*b + 433289 + 915121. What is the ten thousands digit of b?
4
Suppose 2*b - 5*a = 22, -26 + 2 = -3*b + 3*a. Suppose -b*r + 609 = -261. What is the tens digit of r?
4
What is the units digit of 513/(-6)*(-4)/(-8)*(4 - 260)?
4
Suppose -657 = 2*t - 3*t. Let q = t + -382. Suppose q + 30 = 5*f + 3*v, -2*f = -3*v - 122. What is the tens digit of f?
6
Let r be (-10)/((2 - 1) + -3). Suppose -13*h = r*h. Suppose -7*p + 502 = 2*a - 5*p, h = 2*p. What is the units digit of a?
1
Let k(y) = -y**3 - 2*y. Let j(h) = -207*h**3 + 2*h**2 - 12*h - 4. Let c(p) = j(p) - 4*k(p). What is the tens digit of c(-2)?
3
Suppose -72 = -77*b + 74*b. Let k = 31 - b. Let t(j) = -j**3 + 10*j**2 - 2*j - 15. What is the hundreds digit of t(k)?
1
Let y be 5 - (-86)/(-18) - (-70)/9. Suppose 3*z - 19 = y. Suppose 946 = z*i + 127. What is the tens digit of i?
9
Suppose 70*h - 186*h = 127*h - 1532844. What is the units digit of h?
8
Suppose 60*q = 55*q + 97280. Suppose q = -3*p + 19*p. What is the hundreds digit of p?
2
Let b(u) = -u**3 + 11*u**2 - 11*u + 22. Let z be b(8). Suppose -133*s + 8799 = -z*s. What is the tens digit of s?
5
Let b(t) = 280*t**3 - 3*t**2 - 19*t + 61. What is the tens digit of b(3)?
3
Suppose -2*o + 16 = -5*v, 6*o - o - 2*v = 61. Let a(k) = -6*k**2 + 25*k - 3*k**2 + 2*k**2 + 6*k**2 + 4 - 3. What is the hundreds digit of a(o)?
1
What is the units digit of (-35399)/(-3) - ((-88)/264)/((-2)/4)?
9
Suppose 0 = -4*o + 5*z + 20252, 20248 = -71*o + 75*o - 4*z. What is the tens digit of o?
5
What is the ten thousands digit of ((-14659)/(-411))/(1277/(-1278) - -1)?
4
Let h(w) = 34266*w**3 + 13*w**2 - 5*w + 6. What is the tens digit of h(1)?
8
What is the units digit of (843/18*2)/(19/2679)?
7
What is the units digit of 16266 + 1 + -47 + 34?
4
Let n be (-2)/(-2) - (8 + -10)*1. Suppose 3*j - 930 = -5*i, n*i - 6*i + 552 = 3*j. What is the tens digit of i?
8
Let y(s) = 13*s**2 + 7*s + 22. Let k be y(8). Suppose 3*i = -11*i + k. What is the units digit of i?
5
What is the units digit of ((-76)/190)/(4/(-40)*1/2308)?
2
Let n = 1022 - 528. Suppose -5*s + i + i = -2482, s + 2*i = n. What is the units digit of s?
6
Let j be (13 - 5) + (-2 - 2). Suppose -1606 = -j*v - 394. What is the tens digit of v?
0
Let y = 897 - -5061. What is the tens digit of y?
5
Suppose -88*l - 10057 = -201950 - 326867. What is the thousands digit of l?
5
Let p = -14117 - -34616. What is the thousands digit of p?
0
Suppose -2*p + 4*p + 438 = z, 2*z = p + 870. Suppose 9*s - 3359 + z = 0. What is the units digit of s?
5
Suppose 6*x - 3*x - 52 = -5*k, 0 = x - k - 4. Let i = 15 - 12. Suppose -t - 15 = -i*v, v + 4*t - x = 3*t. What is the units digit of v?
6
Let c(l) = 0 - 13*l + 8 + 9*l + 3*l. Let i be c(6). Suppose i*p + 2*u - 57 = -u, 4*p = 3*u + 159. What is the tens digit of p?
3
Suppose -138 + 2 = -8*o. Suppose 4*y = 5*b - 27, -2*b + o*y = 22*y - 24. What is the units digit of b?
7
Let v be 429 + 2 + (-1 - 2). Let f = -715 + v. Let a = -187 - f. What is the tens digit of a?
0
Let k = 195 + -193. Suppose -m + 5*q = -1401, 5*q + k = -18. What is the tens digit of m?
8
Let y(q) = 21*q**2 + 3*q + 8. Let n(t) = -2*t**2 + 6*t + 6. Suppose 5 = 3*w - 7. Let d be n(w). What is the tens digit of y(d)?
8
Let z = 375 - 618. Let d = z + 482. Suppose d + 115 = 6*p. What is the tens digit of p?
5
Let d be 2/2 - 1 - 3. Let r(b) = -124*b + 1. Let q be r(d). Suppose 2*p - 4*p + 142 = -2*s, 5*p + s - q = 0. What is the units digit of p?
4
Let w(a) = 2 - 8 + 342*a - 11 - 4. What is the tens digit of w(1)?
2
Let q = 221 - 206. Suppose q*m - 25037 + 7637 = 0. What is the thousands digit of m?
1
Let y = 264 + -264. Suppose 232*v - 228*v - 5100 = y. What is the hundreds digit of v?
2
Let j be 4*((-1)/(-2) + 2) + -2. Suppose 4*m = j*m - 644. What is the tens digit of m?
6
Let g be 4 - (54 - 0) - -1. What is the tens digit of (2 + -5)*(g - (2 + -2))?
4
Suppose 5*z - w = 3*w - 274, -2*w = 3*z + 182. Let x = z - -44. What is the units digit of 77/x*-1*(-18)/(-1)?
9
Let i be (-146372)/814 + (24/(-11) - -2). Let x = i + 250. What is the units digit of x?
0
Suppose -4*y + 96 = -5*y. Suppose z - 5*v = 154, 4*z - 4*v - 113 = 439. Let o = z + y. What is the units digit of o?
8
What is the ten thousands digit of (-161125)/(-5) - ((-108)/6)/6?
3
Let j be ((-160)/(-25) - 6) + 11464/(-10). What is the units digit of j/2*(-11 - -10)?
3
Let t(y) = 13 - 25*y - 11*y - 4*y. Let w be t(-5). Suppose -3*h - w = -2*c, -3*c - h = 2*h - 297. What is the units digit of c?
2
What is the units digit of (18 + 15280/(-100))*-10?
8
Let d(q) = -q**2 - 14*q + 82. Let x = 96 - 113. What is the units digit of d(x)?
1
Let w = -7 - -7. What is the hundreds digit of (10 + w - (9 - 12))*25?
3
Let a(j) = 8*j + 340 - 5*j + 52 - 109 - 96*j. What is the hundreds digit of a(-8)?
0
Suppose 0 = 2*f - a + 14, -3*f = 2*a + 14 - 7. Let m(o) = 5*o + 3 + 4*o**2 + 2*o**2 - 4*o**2. What is the units digit of m(f)?
8
Let t be (-210)/4*(154/(-21) + 6). Let b = t - 70. Let k(z) = -z**2 + z + 6. What is the units digit of k(b)?
6
Suppose -4*b = -3*h - 34, -h + 5*b - 8 = 7. What is the units digit of ((-65)/(-26))/(h/(-8))*18?
6
Suppose 3*c - 7*c + 9377 = -3*v, 4 = 4*v. Suppose 7*g = 2*g + c. What is the hundreds digit of g?
4
Let w(d) = 4*d**2 - 90*d - 11. What is the units digit of w(52)?
5
Let m(z) = 255*z + 65. Let u be m(-9). Let r = u + 3434. What is the tens digit of r?
0
Let q be 6/(-2)*-10 + 0 - -1. Let l = q - 20. Suppose s = 3*c - l, -3*s + 0*c - 4*c + 32 = 0. What is the u
|
{
"pile_set_name": "DM Mathematics"
}
|
16). Solve z - 3*q = -f, 19*z - q + 4 = 18*z for z.
-1
Let y = 3248 - 3246. Solve 2*r = -5*s - 8, y*r + 5 = -3*s - 3 for r.
-4
Let l(n) = -n**2 + 20*n + 1930. Let a be l(55). Solve -4*v + 16 = -4*o, 9 - 5 = -a*v + o for v.
-2
Let p(t) = t**2 - 341*t + 1360. Let c be p(4). Solve 2*q + l + 4 = 0, -c*l + 13*l - 20 = 4*q for q.
-4
Suppose 4*n - 3*u = -n + 16, 3*u = -6. Suppose -4*j = -n*j + 6*j. Suppose -8*g + 38 + 2 = 0. Solve 3*v - 15 = -d, j = -5*v + 5*d + g for v.
4
Suppose 78 = -137*h + 147 + 479. Solve p = -h*k + 2*k - 9, 3*p + 24 = -5*k for k.
-3
Suppose -306*l + 214 = -1316. Solve 5*o + 78*h - 76*h - 35 = 0, -10 = 3*o - l*h for o.
5
Let k = 77 - 32. Let t = -45 + k. Suppose -o + 3 + 1 = t. Solve 3*f - 2 = 5*v, -5*f - 5 + 17 = -o*v for f.
4
Suppose 25 = 5*q + 5*w, q - 5*w = -23 + 10. Let y(b) = -b + 4. Let c be y(5). Let v be -6*(c/q - 0). Solve -v*g - 3*p = -6, -2 = -4*g - p + 3 for g.
1
Let q = 289214 - 289212. Let c(g) = 2*g**2 - 3*g + 3. Let p be c(2). Solve -u + p*l = -12 - 3, 3*l + 16 = q*u for u.
5
Suppose -14*y + 15*y + 2*n - 30 = 0, y = 4*n + 6. Solve -4*t + 11*v - 4 = 15*v, -4*v - y = -2*t for t.
3
Let t(d) = 9*d**2 - 289*d + 51. Let f be t(32). Solve 11 = -10*z + 9*z + 4*u, -5*z + 2*u - f = 0 for z.
-3
Suppose -2*f - 6 = 3*w, -2*w - 2*f - 6 = 2*w. Let s(m) = -13*m + 185. Let c be s(14). Solve 0 = -2*a + x - 11, 3*a + w*a + 3 = -c*x for a.
-4
Let d be (-49 - -50)*(1 + 4). Let g be (-2)/8*-4 - -2. Suppose 3*w = -g*u - 9, 0*u = d*u + 15. Solve w = -5*h + 4*m - 3*m + 17, -3*h - m + 15 = 0 for h.
4
Suppose 4*x = -2*h, 15 + 30 = 5*h + x. Suppose 0 = -4*l - p - 457, -3*l - 414 + 75 = -3*p. Let w = 116 + l. Solve 2*z = w*s - 4, 2*s + 3 = 3*z + h for s.
-1
Let k(f) = -f**3 - 20*f**2 - 20*f - 19. Let n be k(-19). Suppose x + 3*s - 4*s - 14 = n, 4*s = -8. Solve z + x = -5*m - 1, m = -2 for z.
-3
Suppose 1985*m = 1981*m + 52. Solve w - 4 = -a, 0 = -4*w + 2*a + 9 + m for w.
5
Let q = -2742 + 2744. Solve 6 = z - 4*y + 2*y, -q*y = 3*z + 6 for z.
0
Suppose 4*j = 5*n + j + 507, -3*n + 3*j = 303. Let l = -97 - n. Solve 25 = -l*c + 2*f, -2*c - 25 = -2*f - 9 for c.
-3
Suppose 2*x - 4*s - 8 = 0, -2*s - 34 = 2*x + 2*x. Let v be ((-9)/2)/(x/8). Let b = -444 + 447. Solve 0 = -2*g - b*m + 5, -v*g - 7 = -g + m for g.
-2
Let u(s) = s**3 + 10*s**2 - 5*s - 29. Let i be u(-10). Suppose 6*o - 33 = -i. Solve 2*v - 3*v = 1, -5*v + 3 = o*d for d.
4
Let y be (4 - (-6)/(-18)*12)/2. Suppose 15*w + 26 - 26 = y. Solve -j + 2*u = -w*j + 8, 3*j = -2*u for j.
-2
Suppose i + 2 + 29 = 0. Suppose 114 = -3*c + 3*h, 0*c + 4*h - 47 = c. Let f = i - c. Solve 28 = f*v - 5*n - 7, 0 = v - 4*n - 17 for v.
5
Let y = 2206 + -2203. Solve -5*c + 0*c + 2*x = 25, 2*x + 15 = -y*c for c.
-5
Let p = -355 - -372. Solve -l + 4*h + 3 + p = 0, 2*l + 5 = -h for l.
0
Let u = -368 - -340. Let n(a) = -a**2 - 29*a - 28. Let f be n(u). Solve f*d - 20 = 4*d, 2*d + 2 = 4*r for r.
-2
Let y = -205 + 189. Let f be -8*(5 - (-94)/y). Suppose -4*x = -3*x - 12. Solve 3*v = x, q - 1 = -2*v + f for q.
0
Suppose -3*s + 3 = -2*s. Let b(p) = -11 + 4*p - 11 - 14 + 27. Let k be b(s). Solve -k*y = -5*d - 37, -3*y + 11 = d + y for d.
-5
Suppose 2*h = -4*f + 12, -22*h = -19*h + 8*f - 24. Let c be (-60)/(-8)*(-4)/(-6). Solve -2*r - 20 = -2*g + 7*g, h = -2*r + c*g for r.
-5
Suppose 6*c + 35 = 11*c. Let y(h) = 2*h + 32. Let o be y(c). Let i = o + -26. Solve p = 5*f + 4*p + 21, -4*p = 4*f + i for f.
-3
Let c = 4 - -15. Suppose 0 = 351*y - 481*y + 260. Solve g + 5*s = -c, 0*s - 7 = -y*g + 5*s for g.
-4
Suppose -14*p - 10 = w - 12*p, 0 = w + 4*p + 20. Solve -2*c - 3*i = 19, w = -2*c + 6*i - 10*i - 24 for c.
-2
Suppose 8 = 4*f, -7*f - 10 = -5*t - 2*f. Let r be (21 - 7 - 13)*-2*15/(-6). Solve -12 = -t*n, -5*g = -4*n + 7 + r for g.
0
Let b(j) = -j - 22. Let n be b(12). Let o be (-76)/(-646) + (-30)/n. Solve -2*c - 14 = 4*d, 0*c - d = -c - o for c.
-3
Let h be (-1005 - -1002)*(-2)/3*(-3)/(-2). Let s(b) = b**2 + 7*b + 9. Let p be s(-6). Solve 2*d + h*y + 7 = 0, -y + 2 = -4*d - p*y for d.
1
Suppose -4*y = -129 + 1. Let l = y - 26. Suppose 55 + 83 = l*q. Solve 3*w + 5*o + 0 = -9, 5*o = 4*w - q for w.
2
Let s(g) = -24*g - 18. Let o be s(0). Let y be 27/o*(-14)/3. Solve -3*a = 2*v - y, -11 = -v - 5*a + 3 for v.
-1
Let l(s) = s + 23. Let u(t) = -5*t + 36. Let a be u(8). Let q be l(a). Solve 2*m + 2 = 2*y, -5*y + q = 5*m - 6 for m.
2
Suppose -960 = -15*f + 7*f. Let l = f - 100. Solve 6*p - m + l = p, 0 = 5*p - 3*m + 20 for p.
-4
Let j be (-10)/2 - 2/2*(16 - 23). Solve -2*f - 5*d = j, -62*d = -5*f - 58*d + 28 for f.
4
Suppose -14*r - 12 = -18*r + 4*s, -9 = -3*s. Let y = 11 + r. Solve -u - y = -3*u + 3*j, -5*u = 2*j + 5 for u.
1
Let u = -202 + 211. Let s = 34 + -9. Suppose -u*r = -14*r + s. Solve 2*g + 2*m = r*g - 6, g - 4*m = 12 for g.
0
Suppose 13*m - 17 = 22. Let h be -3 + 4 + 11 - -2. Solve -35 + h = 2*c + 5*d, -m*c - 3 = -2*d for c.
-3
Suppose 27 + 1 = 3*u - 20. Solve -7 + u = -j + 4*y, -5*y + 20 = -3*j for j.
-5
Let y(j) = -83 + 0*j + 3*j**3 - 83 - 2*j**3 - 6*j - j**2 + 168. Let m be y(3). Solve i + 5 = 9, 0 = -m*l - 4*i + 12 for l.
-2
Let r be ((-2828)/21)/((-3)/9). Let y = r + -401. Solve -4*c = -2*i - 6, -4*i - y + 5 = -c for c.
2
Suppose l - 16 = -3*l. Suppose -5*j + t = 22 - 12, 3*j - 5*t = -28. Let b(c) = 18*c + 30. Let u be b(j). Solve -5*s = 2*k - 12, 5*s - l*s + u = -4*k for s.
4
Suppose -3*u = 3*u - 198. Suppose -11 + u = 11*v. Let l be (-3)/((2 - -1) + -4). Solve -4 = 2*f - k, -8 = 4*f - l*k - v for f.
-3
Let b = -5 - -4. Let u be b/((-4)/3 + 1). Suppose 4*j - 4*a = -10 - 6, 22 = 2*j + 3*a. Solve o - u = -2*y + j*o, -2*o - 7 = -5*y for y.
1
Let l(p) = -135*p - 673. Let t be l(-5). Solve q = -h - t, 0*q = -q + 2*h + 7 for q.
1
Let h(q) = 3*q**2 + 166*q + 88. Let b be h(-55). Solve 0*r + b = 5*i - 4*r, -4*i + 3*r + 26 = 0 for i.
5
Let u be (24/28)/((-4)/(-14)) + 2. Solve -k - 2*d = 11, -2*d + u*d + 3 = 3*k for k.
-3
Suppose -27*s + 30 = -12*s. Suppose j + s*h = 10, h - 2*h + 20 = 2*j. Solve -d = -5*f + 2, -d + j = 5*f - 6*d for f.
0
Let x = -4110 + 4118. Solve 3*g = 2*l - x, -5*g - 18 = -28*l + 27*l for g.
-4
Suppose -138*k = -39*k - 495. Solve -21 = 5*u + 2*w, 13 + 14 = -k*u + w for u.
-5
Let g be (-20)/55*(-451)/82. Solve 12 = -2*t + 2*f, 16*t - 15*t + g*f = 6 for t.
-2
Let k(o) = -o**2 + 42*o - 336. Let n be k(11). Solve n*z = 2*p + 13, -4*p = -5*z + 39 - 28 for z.
3
Suppose 5 + 3 = -2*l, 5*m - 18 = 2*l. Suppose 56*x = 438 - 158. Solve -z - 3*b = 13, -x*z = b - 7 + m for z.
2
Let f be -3 + -9 - (-364)/30 - 58/(-15). Solve 5*z = 2*b + 3*b + 40, -4*b - f*z = 0 for b.
-4
Let a(s) = 149*s - 1017. Let o be a(7). Solve -5*i - 2 = o*u - 28*u, -i = 3*u - 3 for u.
1
Suppose -5*z + 0*o - 2*o + 708 = 0, 2*z + 4*o - 280 = 0. Suppose 2 = -20*s + z. Solve 4*x = -d - 20, s = -2*x - 3 for d.
0
Let n be (436/18 - (-10)/(-45)) + -4. Suppose -4*c + n = 3*f, 0*c + 2*f = -c + 5. Suppose 0 = -c*r + 4 + 16. Solve 0 = 4*x - 4*d + 16, 16 = 4*d + r for x.
-1
Let i = 297 + -165. Suppose -63 + i = 23*n. Solve -3*y + n*g - g - 7 = 0, -3*g = -y for y.
-3
Suppose -14*r = 152 - 54. Let g be (-6)/(19 + r)*-8. Solve -3*a + g*q = q + 9, -4*a = -2*q + 14 for a.
-4
Let z be -18 + 1 - 4/(-2). Let h be 3 + (-2)/((-6)/z*-1). Suppose 4*k = -5*q + 36, -3*q - q + h = -2*k. Solve q*v + 10 = 4*t - 7*t, 12 = -2*t - 4*v for t.
2
Suppose -3*k = -4*h + 124, 0 = 2*h - 4*k - 17 - 55. Let a be 8/28 + (-177)/7. Let i = a + h. Solve 0*n + 18 = i*s - n, 0 = -4*s - 4*n + 8 for s.
5
Suppose -4*p + 239 = q, -47*q = -45*q - 4*p - 502. Suppose -q = -31*i - 92. Solve 2*y + 5*a = i, y - 5 - 2 = 2*a for y.
5
Let q be 0*5/25*(-2)/(-4). Suppose 3*k - 41 = -r, 3*k + 2*r - 3*r - 31 = q. Solve 3*b = k, 0 = 2*t - 0*b + 4*b - 8 for t.
-4
Suppose -l + 5*m - 5 = 0, 5*l + m - 27 = -0*l. Suppose u - 5*t = 31, l*t = 4*u + 6*t - 19. Solve d + 12 = -3*j - u, -2*d = -5*j - 19 for d.
-3
Let v be 713/310 - 27/90. Solve 9 = -o + 3*x, v*o = -2*x + 3 + 3 for o.
0
Suppose -10 = -2*y + 2*t, 0*y - 3*y - 4*t + 1 = 0. Suppose -2*x = -4*l + 2, -139*l + 136*l + 2*x = -2. Solve -14 = -k + 3*c, -3*k + 2*c + 4 + y = l for k.
-1
Suppose 0 = -5*c + 4*y + 25, -5*c = -2*c - y - 15. Let d(i) = -c*i + 1 + 1 - 2*i**2 - 8*i + i. Let t be d(-6). Solve -10 = -v + 3*x, -x = -v - t*v + 14 for v.
4
Let t = -11951 + 119
|
{
"pile_set_name": "DM Mathematics"
}
|
- 85*p - 583. Give c(-18).
-25
Let g(i) = -404*i**2 - 1651*i - 6. What is g(-4)?
134
Let c(s) = 1151*s**2 - 188*s + 158. Calculate c(1).
1121
Let n(g) = g**2 + 919*g - 89798. Determine n(89).
-86
Let p(o) = -3*o**2 + 144455*o - 288906. Determine p(2).
-8
Let m(o) = -7*o**3 + 3881*o**2 - 1788*o + 69798. Determine m(554).
-6
Let y(b) = 1705*b + 56387. What is y(-33)?
122
Let f(c) = c**3 - 271*c**2 + 9990*c - 454. Calculate f(227).
0
Let p(t) = 2*t**3 - 36*t**2 - 1855*t + 34550. What is p(19)?
27
Let l(a) = -8*a**2 + 35*a + 296. What is l(-9)?
-667
Let f(t) = t**3 - 34*t**2 + 135*t - 287. Determine f(29).
-577
Let i(u) = u**2 + 84*u + 422. Give i(-8).
-186
Let m(u) = -44*u - 2686. Give m(-40).
-926
Let o(k) = 2*k**3 + 112*k**2 - 665*k - 31413. Calculate o(-57).
-6
Let w(m) = -1305*m + 18160. What is w(14)?
-110
Let j(k) = 2*k**3 - 207*k**2 + 1967*k - 1309. Determine j(93).
-7
Let m(d) = 8*d**3 + 60*d**2 + 100*d + 503. What is m(-7)?
-1
Let h(p) = 23*p**2 - 9263*p + 6843. Give h(402).
9
Let r(j) = 5*j**2 + 15*j + 106. Give r(20).
2406
Let v(r) = -8*r**2 - 104*r + 1513. Give v(9).
-71
Let a(t) = 117*t**3 + 30*t**2 - 14*t - 213. Calculate a(3).
3174
Let v(i) = -i**3 + 12*i**2 - 118*i - 23. Calculate v(7).
-604
Let g(y) = -y**3 - 146*y**2 - 801*y - 912. Calculate g(-4).
20
Let i(z) = 18693*z + 18684. Determine i(-1).
-9
Let g(w) = -19*w**2 - 331*w - 329. What is g(-1)?
-17
Let j(c) = -3*c**2 + 283*c - 1200. Calculate j(91).
-290
Let y(q) = -q**2 - 154*q - 9310. Calculate y(-60).
-3670
Let c(b) = 355*b + 7163. Calculate c(-20).
63
Let v(y) = -y**3 + 17*y**2 - 61*y - 929. What is v(-5)?
-74
Let x(d) = 72*d**3 - 26497*d**2 + 366*d + 689. What is x(368)?
-47
Let c(o) = 39*o**3 - o**2 - o + 881. Calculate c(0).
881
Let r(o) = -4*o**3 + 256*o**2 - 1303*o + 66220. What is r(63)?
7
Let h(x) = -375*x - 157877. Calculate h(-421).
-2
Let m(j) = 1998*j - 12045. What is m(6)?
-57
Let l(w) = -w**2 + 29897*w + 209330. Give l(-7).
2
Let o(i) = -228*i**3 - i**2 - 64*i - 64. What is o(-1)?
227
Let j(f) = 66199*f - 290. Calculate j(0).
-290
Let k(s) = -1384835*s - 5539412. Give k(-4).
-72
Let m(r) = -r**3 - 220*r**2 - 2133*r - 6919. What is m(-210)?
11
Let h(r) = -r**2 + 431*r + 4381. What is h(-10)?
-29
Let i(l) = -7368*l - 346300. Give i(-47).
-4
Let h(b) = -2*b**2 + 219*b + 1316. Give h(-6).
-70
Let m(k) = 15*k**3 - 7*k**2 - 4*k + 6. Give m(2).
90
Let a(p) = -6*p**3 - 483*p**2 - 232*p - 112. Determine a(-80).
-752
Let c(k) = -791*k + 2275. Give c(5).
-1680
Let f(s) = -4758*s**2 + 107*s + 7. Calculate f(0).
7
Let k(r) = 9407*r - 234663. Determine k(25).
512
Let i(u) = -u**2 + 5353*u - 64100. Determine i(12).
-8
Let x(o) = -o**3 - 536*o**2 - 37228*o - 2. Calculate x(-82).
-2
Let a(v) = -26*v**2 + 9676*v - 1512. Calculate a(372).
-24
Let c(u) = -u**2 - 298*u - 16156. Calculate c(-227).
-39
Let m(w) = -466*w**2 - 14*w - 3. Calculate m(2).
-1895
Let h(p) = -2*p**2 + 31598*p + 63203. Calculate h(-2).
-1
Let o(t) = -19458*t + 972884. What is o(50)?
-16
Let p(a) = -21*a**3 - 2624*a**2 + 74*a - 6366. Calculate p(-125).
9
Let i(k) = -35*k**2 + 71150*k - 284620. What is i(4)?
-580
Let z(c) = 2*c**3 - 449*c**2 + 2490*c - 17735. Determine z(219).
4
Let t(b) = -1872*b**2 - 13109*b - 29. What is t(-7)?
6
Let a(l) = -14*l**3 + 991*l**2 + 198*l + 1007. Give a(71).
-58
Let m(u) = -3578*u - 218270. Determine m(-61).
-12
Let g(w) = 54*w**2 - 173*w - 220. Give g(-1).
7
Let w(g) = -22*g**2 - 9089*g + 17005. Calculate w(-415).
-10
Let j(u) = -27956*u - 44533896. What is j(-1593)?
12
Let x(y) = -y**2 - 162*y + 159063. Give x(326).
-25
Let m(o) = 14983*o - 92322. Calculate m(6).
-2424
Let l(t) = -106058*t + 2121164. Determine l(20).
4
Let o(g) = -g**3 + 882*g**2 + 3514*g + 26575. Calculate o(886).
-5
Let u(c) = -2*c**3 - 183*c**2 - 134*c - 3888. Calculate u(-91).
25
Let l(v) = 255*v**2 - 37741*v + 189. What is l(148)?
41
Let g(n) = 430640*n - 4306564. Determine g(10).
-164
Let r(c) = 1531*c - 10675. Determine r(7).
42
Let m(o) = -o**3 - 402*o**2 - 386*o + 6818. What is m(-401)?
803
Let l(r) = -75*r**2 + 1053*r + 1067. Calculate l(15).
-13
Let i(x) = -1023*x - 6403. Give i(-6).
-265
Let i(c) = -c**2 - 340*c - 24402. What is i(-103)?
9
Let y(k) = -k**2 + 44*k + 1402. Give y(70).
-418
Let o(y) = -y**3 + 5*y**2 + 12210*y - 85314. Determine o(7).
58
Let w(y) = 4*y**3 - 29*y**2 + 3*y - 21. Give w(10).
1109
Let m(p) = -43*p**2 + 378*p + 140. Give m(9).
59
Let a(g) = -59*g - 7664. Determine a(-139).
537
Let w(f) = 1937*f - 65277. Determine w(34).
581
Let d(y) = 8*y**3 + 295*y**2 + 275*y + 873. Give d(-36).
45
Let p(j) = -159*j - 3924. Determine p(-25).
51
Let l(y) = -2*y**2 + 22187*y - 155294. Determine l(7).
-83
Let g(i) = 2223*i + 106671. Give g(-48).
-33
Let o(j) = -138197*j + 18242003. Calculate o(132).
-1
Let l(a) = 4088*a - 8176. What is l(2)?
0
Let s(p) = -p**3 + 42*p**2 - 426*p - 521. Give s(24).
-377
Let s(t) = 158*t**2 - 2147*t + 4476. Calculate s(11).
-23
Let w(c) = 4*c**3 - 566*c**2 - 361*c + 10942. Give w(142).
8
Let n(t) = 6*t**3 - 11*t**2 - 143*t + 153. What is n(1)?
5
Let f(m) = -60620*m - 1091148. Give f(-18).
12
Let g(f) = -20551*f - 2712715. Calculate g(-132).
17
Let g(z) = 64*z**2 - 189*z - 3476. Give g(9).
7
Let n(z) = 34792*z - 382704. Calculate n(11).
8
Let w(p) = 107*p - 41007. Calculate w(342).
-4413
Let d(z) = z**3 - 17*z**2 - 63*z + 115. Calculate d(22).
1149
Let u(l) = -31*l**2 + 19*l + 505. Calculate u(-7).
-1147
Let j(g) = -144*g - 4854. What is j(-33)?
-102
Let w(k) = 5*k**2 + 635*k + 3055. Determine w(-122).
5
Let w(i) = -i**3 + 7*i**2 + 160*i - 221. What is w(16)?
35
Let k(g) = -g**3 - 18*g**2 + 314*g - 11. Determine k(9).
628
Let n(x) = -x**3 + 39*x**2 + 321*x + 497. Give n(46).
451
Let v(d) = 253*d**2 - 615*d + 218. Calculate v(2).
0
Let a(b) = 52*b + 3387. Calculate a(-70).
-253
Let y(z) = -14*z**2 + 5715*z - 1303. What is y(408)?
-79
Let z(x) = -x**2 - 376*x - 26626. Give z(-96).
254
Let w(d) = 6*d**3 - 10*d**2 + 32*d - 108. Calculate w(6).
1020
Let y(b) = 8340*b + 75050. Determine y(-9).
-10
Let h(t) = 3*t**2 + 1269*t - 40743. Give h(31).
1479
Let j(h) = -4*h**2 - 389*h - 528. Give j(-101).
-2043
Let y(i) = 5*i**2 - 97*i + 282. Give y(3).
36
Let t(g) = g**3 - 33*g**2 + 69*g + 2490. What is t(27)?
-21
Let b(r) = 13*r**3 - 8023*r**2 + 1220*r + 8738. What is b(617)?
100
Let w(c) = -c**3 - 220*c**2 + 38073*c + 343. Determine w(114).
1
Let t(w) = -w**3 - 228*w**2 - 7445*w + 2994. Give t(-40).
-6
Let y(g) = g**2 - 240*g - 15230. Calculate y(-52).
-46
Let t(l) = 3*l**2 - 464*l + 1029. What is t(154)?
721
Let g(c) = c**2 - 21114*c + 1074182. Determine g(51).
-31
Let v(f) = -2*f**2 + 13261*f + 132530. Calculate v(-10).
-280
Let j(i) = 36400*i - 291211. Calculate j(8).
-11
Let f(s) = -136*s**2 - 41208*s - 133. Determine f(-303).
-133
Let c(z) = 25*z**3 + 400*z**2 - 42*z + 13. Give c(-16).
685
Let k(b) = -583*b + 176. What is k(1)?
-407
Let s(h) = -8*h**3 - 50*h**2 + 9*h - 58. Give s(-7).
173
Let g(u) = 11*u**2 + 667*u - 6306. Determine g(-69).
42
Let b(h) = h**3 - 26*h**2 - 45*h - 655. What is b(29)?
563
Let q(m) = 52992*m + 476696. Give q(-9).
-232
Let n(p) = -1000*p - 118995. Determine n(-119).
5
Let g(c) = 94079*c - 1599306. What is g(17)?
37
Let c(j) = 8*j**2 - 5*j + 2. Determine c(2).
24
Let i(x) = x**2 + 6734*x + 492906. What is i(-74)?
66
Let o(j) = 2*j**3 - 29*j**2 - 15707*j + 204708. What is o(13)?
10
Let t(k) = 1282469*k - 1282443. Calculate t(1).
26
Let n(f) = 12*f**2 + 1183*f + 3070. Give n(-96).
94
Let c(t) = 4*t**2 + 1704*t - 22853. Calculate c(13).
-25
Let v(b) = b**2 - 525*b - 49076. Give v(606).
10
Let b(m) = -190*m + 6609. Calculate b(35).
-41
Let g(c) = -c**2 + 2004*c - 975109. Give g(832).
-5
Let t(x) = -3*x**3 + 103*x**2 + 64*x - 1808. Determine t(33).
4660
Let i(b) = -4*b**3 + 227*b**2 - 198*b - 15. Calculate i(1).
10
Let m(f) = 2*f**3 - 19*f**2 - 40*f + 96. Calculate m(-3).
-9
Let g(c) = -c**3 + 701*c**2 - 27059*c + 51. Give g(41).
92
Let u(f) = -286*f + 123003. Calculate u(430).
23
Let c(n) = -30059*n + 60123. Give c(2).
5
Let x(m) = -5*m**2 - 1333*m - 11138. Determine x(-258).
-44
Let i(q) = 5*q**3 - 15*q**2 - 14498*q + 28995. Calculate i(2).
-21
Let j(t) = -25*t**2 - 55*t + 219. Determine j(0).
219
Let b(j) = -2457*j + 8101. Calculate b(4)
|
{
"pile_set_name": "DM Mathematics"
}
|
.3 (b) 80 (c) 1/4 (d) 5 (e) -19/5 (f) 58/7 (g) -3
a
Which is the third biggest value? (a) -0.2 (b) -25656.7 (c) 32
b
What is the fifth biggest value in 6/5, 8, 7190, -0.3, 2, -0.5, 9?
6/5
What is the third smallest value in 4, 12, -3, -2/5, 1, 3.0364?
1
Which is the third smallest value? (a) 4 (b) -4 (c) -2074939 (d) 8.2
a
Which is the second biggest value? (a) 3 (b) 0 (c) -4/57 (d) -170.1 (e) 2/3 (f) -2/23
e
What is the third biggest value in 160383, 1/2, -3?
-3
Which is the third smallest value? (a) 5 (b) -311 (c) -300/19 (d) -2 (e) 50
d
Which is the second smallest value? (a) -0.6 (b) 5/7 (c) -342
a
What is the fourth smallest value in -751, 9, 6, 0.1, 4, 0.4, -3?
0.4
What is the third biggest value in 0.5, 2/5, -0.142, -28, 0.6?
2/5
What is the third biggest value in -27280/23, 0.5, -3, 0.1, -0.3?
-0.3
Which is the second smallest value? (a) 6/7 (b) 3211087 (c) -6
a
Which is the second smallest value? (a) -360 (b) 0.18 (c) -2/437
c
Which is the fifth smallest value? (a) 1/10 (b) 0 (c) -0.1 (d) -0.2 (e) 65 (f) -2 (g) 0.023
g
Which is the sixth smallest value? (a) 17 (b) 0.2593 (c) 3/5 (d) 0.4 (e) 0.3 (f) -0.2
a
What is the third smallest value in -42, 1.66939, 0.1?
1.66939
Which is the fourth smallest value? (a) -0.1 (b) -3 (c) 1.84345 (d) -66
c
What is the biggest value in -13/21, -2/13, 0.01517, -1?
0.01517
Which is the seventh smallest value? (a) 11 (b) -35.7 (c) 2/7 (d) -2 (e) -12 (f) 5 (g) 3
a
What is the third smallest value in -28/3, 0.3, -34, 0.017, 0?
0
What is the smallest value in 1.3, -54, 1.9?
-54
Which is the fifth biggest value? (a) 0.5 (b) -5 (c) 2/7 (d) 0.1 (e) -33 (f) 0.273
b
What is the fifth biggest value in -3/5, 4, 6/415, -1/5, 23/2?
-3/5
What is the biggest value in -3, -946202/19, -0.07?
-0.07
Which is the third smallest value? (a) -4 (b) -0.1329 (c) 0 (d) 0.15 (e) 26
c
Which is the fifth smallest value? (a) -874 (b) -3 (c) 1/15 (d) -2/11 (e) -3/2 (f) -5
d
What is the seventh smallest value in 1/5, -4, 43.842, 1, -3/5, -3/7, -2/11?
43.842
Which is the fourth biggest value? (a) 4/289 (b) -4 (c) 0.3 (d) 0.43 (e) -0.1
e
What is the fourth smallest value in 2/9, -1/101, -0.4, 5, -200, 3, 7?
2/9
Which is the fourth biggest value? (a) -17.13 (b) 4/7 (c) 0.079 (d) 3
a
Which is the biggest value? (a) 15/11 (b) -0.09 (c) -8 (d) -7.61
a
Which is the biggest value? (a) -2 (b) -170/47 (c) 545
c
Which is the third smallest value? (a) -9/7 (b) 154 (c) 7/4 (d) 0 (e) -0.061 (f) -1
e
What is the second biggest value in -0.3, 568, -2, 1?
1
Which is the biggest value? (a) -4 (b) 0 (c) 776 (d) 2/63 (e) 9
c
Which is the second biggest value? (a) -6327 (b) 1 (c) -1 (d) -2208
c
What is the smallest value in -45/22, -4, 10, -1/4, 4, 683?
-4
Which is the second smallest value? (a) -0.2824 (b) 16 (c) -17.5
a
What is the fourth smallest value in 25, 2, -2/15, -44, -0.4, 0.514, -5?
-2/15
Which is the second smallest value? (a) -7/31 (b) -44 (c) -77.01
b
Which is the third smallest value? (a) -1/17 (b) 18 (c) -0.5 (d) -3/8 (e) 20 (f) -3/5 (g) 2
d
Which is the biggest value? (a) 0.37 (b) -109 (c) 3 (d) 1.538 (e) 4/9
c
Which is the second biggest value? (a) 14/9 (b) -1 (c) 3.252547
a
Which is the biggest value? (a) 1 (b) -11066 (c) 90
c
Which is the fourth smallest value? (a) 17 (b) -0.4 (c) 0 (d) -47 (e) 120/11 (f) -11
c
Which is the third smallest value? (a) -1/8 (b) 74.5005 (c) 1 (d) 1/2
c
Which is the second biggest value? (a) -0.028 (b) 0.027 (c) -1 (d) 71 (e) -0.1
b
Which is the fifth smallest value? (a) 13/11 (b) -1/5 (c) -3/10 (d) 2 (e) -0.05
d
Which is the third smallest value? (a) 6/19 (b) 3/12754 (c) 4
c
What is the smallest value in 3.88, 174839, 7?
3.88
Which is the fifth biggest value? (a) -1/3 (b) -1/13 (c) 44 (d) 25 (e) -3 (f) -0.033 (g) 5
b
What is the biggest value in 1/1406, -12.3, 5, -1/4?
5
Which is the third smallest value? (a) -3 (b) 61 (c) 19/5 (d) 4 (e) 0.069
c
What is the third smallest value in -14, -8/9, -1/9, -0.1, -291, 6/7?
-8/9
What is the fourth smallest value in -5.2, -2, -3, -46, 288?
-2
What is the second smallest value in -1/6, -2, -6/6311, 2/3, 2/21?
-1/6
What is the biggest value in -0.4, -2, 53595.6, 3/14?
53595.6
Which is the smallest value? (a) 195 (b) 6/829 (c) 1/4 (d) -2/5 (e) 5/2 (f) -5
f
What is the third smallest value in 2, -0.1, -1, -2/23583, 2/9?
-2/23583
What is the second biggest value in 0.5, 17, 4, -587432/3?
4
What is the fourth biggest value in 0, 1/3, 535/4, 3345?
0
Which is the fifth biggest value? (a) -5 (b) 3 (c) 0.4 (d) 1/3 (e) -189 (f) 2/141 (g) -0.1
g
What is the fourth smallest value in 3, 2/9, -19, 0.01, 5545/2?
3
Which is the biggest value? (a) 2/13 (b) -6 (c) -3/16 (d) -2/287 (e) -165 (f) 5 (g) -2
f
What is the sixth biggest value in -2, 3, -1200, 5, 6/29, 0.4?
-1200
What is the second biggest value in 1, 0.4, 0.13, 3659?
1
What is the second biggest value in 8, -1941373, -6?
-6
What is the smallest value in -1/5, -0.03, -68/9?
-68/9
Which is the fifth smallest value? (a) -14 (b) 11 (c) 46579 (d) 0.01 (e) -3 (f) -5
b
What is the fifth biggest value in -45, 3, 20, 5, 7/5?
-45
What is the third biggest value in 8, -5, -142.4?
-142.4
What is the sixth biggest value in -0.1, -82.4, -10, -414, -2/13, -4?
-414
Which is the fourth smallest value? (a) 8580 (b) 1 (c) 0.03 (d) 2/7 (e) 2/11 (f) 0 (g) -0.3
e
What is the third smallest value in -2/125, -0.5, 0.3219, 4?
0.3219
What is the second biggest value in 2/15, -1770092, -1/2, -27?
-1/2
Which is the fifth smallest value? (a) 2/7 (b) 53 (c) 1/4 (d) -1/2 (e) -0.1 (f) 1119
b
What is the second smallest value in -1/3, 27, 950/4607?
950/4607
What is the third biggest value in 1, 2/7, 5, 7.191, -3, 6/7?
1
Which is the fourth smallest value? (a) -23.462 (b) -2/7 (c) 4 (d) 0.3 (e) 2 (f) -2
d
What is the sixth smallest value in 0.2, -4/7397, 0.1, -1/2, 1/2, 88/3?
88/3
What is the fourth smallest value in 2/3, 15069, 102, 27/2?
15069
What is the fourth biggest value in 0.2, 989/7, 5, -1/10, 2, -2/7, 2/5?
2/5
Which is the third smallest value? (a) -5 (b) -1 (c) 54 (d) 3/8 (e) -20
b
What is the third biggest value in 35, 305, 0.1, -0.1, 0, -1065?
0.1
What is the smallest value in -1/5, 153, 0.1, -2, 5/27?
-2
Which is the third smallest value? (a) 0.92033 (b) -1/5 (c) -4/7 (d) 7
a
Which is the biggest value? (a) 0.2 (b) -33823 (c) 3231
c
Which is the biggest value? (a) -2/3 (b) -0.69 (c) 0 (d) -3/2 (e) -214 (f) 2/35
f
Which is the third smallest value? (a) 96 (b) -2/9 (c) 0.064 (d) 1/7 (e) 3 (f) -138
c
What is the biggest value in -2/1093, 6/17, 20.38?
20.38
Which is the third smallest value? (a) 182 (b) -1431 (c) 99 (d) 0.3
c
What is the fourth smallest value in 128, 143, -0.1429, -2/3?
143
What is the third smallest value in 5, -13, -432539?
5
What is the fifth smallest value in -1, -2/9, 101, -10, -3872/7?
101
What is the second biggest value in 2, -4, 4/31, -2, -1/6, -1/4, -2.461?
4/31
What is the second biggest value in -3, 53, -2, 1, -0.3, 0.2, 1/2?
1
What is the smallest value in -1.90595, -0.057, 4?
-1.90595
What is the second smallest value in -1, -2/9, -3, -4, 1/5, 0.819?
-3
Which is the smallest value? (a) 5978/19 (b) -2 (c) -0.24 (d) 3 (e) -0.4
b
Which is the third smallest value? (a) 4208 (b) 0.3 (c) -26 (d) 1/3 (e) 2
d
Which is the smallest value? (a) 722 (b) 8 (c) -4/5 (d) -833 (e) 1/5
d
Which is the biggest value? (a) -5 (b) 0.5 (c) 190.8 (d) 1 (e) -2 (f) 143
c
What is the smallest value in 5885, -1/8, -1/2, -7, -1?
-7
Which is the fourth biggest value? (a) 0.41 (b) 2 (c) 1271.51 (d) 3/7
a
What is the fifth smallest value in 2, -3/2, -2101, 1, -0.5, -0.4, -0.547?
-0.4
What is the fourth smallest value in -0.095, 1, -451, -0.04?
1
Which is the third biggest value? (a) -39 (b) 5/2 (c) 1/2 (d) 35462
c
What is the third smallest value in -117, 0.7, 3/2, -0.3, 8?
0.7
What is the fourth smallest value in -2, -5, -1/7, -4067/9, -3, 15?
-2
Which is the fifth smallest value? (a) -7 (b) 23539 (c) -2/3 (d) -3 (e) -0.2
b
Which is the second biggest value? (a) -15 (b) -201 (
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 44?
38
In base 2, what is -110 - -100001001?
100000011
In base 2, what is -11011111010 - 100?
-11011111110
In base 12, what is 2 + -502?
-500
In base 5, what is 13022 - 2?
13020
In base 6, what is -1153 - -2?
-1151
In base 8, what is 0 - -1201?
1201
In base 7, what is 52 - 4?
45
In base 12, what is -1 + 2b9?
2b8
In base 7, what is 0 - 124?
-124
In base 3, what is 20 + 1122?
1212
In base 8, what is 4643 + -4?
4637
In base 12, what is 22 + 6a?
90
In base 9, what is -1480 - 0?
-1480
In base 2, what is 10001 - -110010100?
110100101
In base 14, what is 81 - 4?
7b
In base 3, what is -10 + -1121?
-1201
In base 10, what is -168 - 64?
-232
In base 11, what is -389 - -2?
-387
In base 3, what is -2002121 + -12?
-2002210
In base 4, what is 13303 - 132?
13111
In base 5, what is 14224 - -4?
14233
In base 3, what is -1 - -2122?
2121
In base 7, what is -12 + 1266?
1254
In base 3, what is -21 + -22202?
-100000
In base 15, what is 18 + -a0?
-87
In base 10, what is 0 + 21?
21
In base 2, what is 1010111 + -10100?
1000011
In base 12, what is -4 + -894?
-898
In base 10, what is -13 + 13?
0
In base 15, what is -17e + 9?
-175
In base 10, what is -77 + 8?
-69
In base 7, what is -3 - 164?
-200
In base 2, what is 0 - -10000010011?
10000010011
In base 8, what is 0 + 115?
115
In base 7, what is 40 - -141?
211
In base 13, what is 974 + 1?
975
In base 2, what is -111011110 + 100011?
-110111011
In base 2, what is -11 + -1100111110011?
-1100111110110
In base 16, what is -5 + -2e?
-33
In base 4, what is 30 - -1100?
1130
In base 3, what is -10 - 10211?
-10221
In base 11, what is -6 + -5353?
-5359
In base 7, what is -4 + 11006?
11002
In base 2, what is 100001100111111 + -11?
100001100111100
In base 5, what is -2 + 2432?
2430
In base 4, what is 3 - 101?
-32
In base 4, what is -202 - 1020?
-1222
In base 12, what is 1 - 203?
-202
In base 5, what is 2010 - -1?
2011
In base 12, what is 592 - -1?
593
In base 11, what is 1 - 158a?
-1589
In base 10, what is 678 - 1?
677
In base 6, what is -334 + 5?
-325
In base 12, what is -10 + 91?
81
In base 4, what is 1032033 + 2?
1032101
In base 16, what is 100 - b?
f5
In base 5, what is 113 + -13?
100
In base 16, what is -5 + 605?
600
In base 3, what is 110 - -102021?
102201
In base 4, what is -11 - -212?
201
In base 9, what is -14 - -3?
-11
In base 11, what is 37 - -18?
54
In base 7, what is 63 - 106?
-13
In base 8, what is 174 + 2?
176
In base 12, what is -1 + a7?
a6
In base 16, what is 4 + -25?
-21
In base 8, what is 15 - 5?
10
In base 16, what is 435 - 5?
430
In base 12, what is 5 + 2440?
2445
In base 11, what is 1 - 127?
-126
In base 10, what is 249 - 8?
241
In base 5, what is -40130 + 1?
-40124
In base 5, what is -300221 - 2?
-300223
In base 8, what is 3 - -1?
4
In base 12, what is 2b7 - 4?
2b3
In base 15, what is -3 + -e9c?
-ea0
In base 15, what is -c6 + 4?
-c2
In base 8, what is 4 + 16?
22
In base 5, what is -11 + 4?
-2
In base 7, what is 0 - -42?
42
In base 14, what is -7d - 0?
-7d
In base 10, what is -465 - -3?
-462
In base 2, what is -10 + -1000?
-1010
In base 14, what is 34 + -22?
12
In base 11, what is a9 + 6?
104
In base 14, what is -bb - 7?
-c4
In base 5, what is 30 - 2?
23
In base 2, what is 100 - -11?
111
In base 7, what is 25 + -253?
-225
In base 15, what is 177 + -18?
15e
In base 16, what is fc + 6?
102
In base 9, what is -5168 + -2?
-5171
In base 16, what is 8 + 1?
9
In base 2, what is -10 + -11111010?
-11111100
In base 6, what is 1 - -245?
250
In base 14, what is -11c3 - -3?
-11c0
In base 9, what is -4 - -88?
84
In base 14, what is c5dc + -1?
c5db
In base 5, what is -321 + 0?
-321
In base 2, what is 101111 + 0?
101111
In base 11, what is 196 + 5?
1a0
In base 5, what is -4 - 10?
-14
In base 2, what is 110000 - 101?
101011
In base 14, what is -a + 1835?
1829
In base 4, what is -11210 + 11?
-11133
In base 7, what is -113 - 2?
-115
In base 8, what is 2 - 42?
-40
In base 7, what is -1112 + 3?
-1106
In base 6, what is 432 + -3?
425
In base 16, what is 2 - -1?
3
In base 6, what is -11 - 143?
-154
In base 11, what is 490 - -3?
493
In base 14, what is -16c + 3?
-169
In base 3, what is 1011021 + -10?
1011011
In base 12, what is -5 - 32?
-37
In base 4, what is -3 + -302?
-311
In base 8, what is -2261 - 1?
-2262
In base 6, what is 0 + 123?
123
In base 12, what is -82 + -4?
-86
In base 5, what is 24 + 40?
114
In base 12, what is -3b + 3?
-38
In base 2, what is -10 + 101000011?
101000001
In base 9, what is -833 - -15?
-817
In base 13, what is 3 + -258?
-255
In base 9, what is -2 - -3856?
3854
In base 9, what is -5 + -17?
-23
In base 3, what is 11121 - 0?
11121
In base 12, what is -11 + -108?
-119
In base 5, what is -44 + 244?
200
In base 2, what is 101010100000 + -10?
101010011110
In base 8, what is 257 - 5?
252
In base 13, what is 1 - 66?
-65
In base 3, what is -210 - 2?
-212
In base 7, what is -2 - -403?
401
In base 5, what is -242 - -143?
-44
In base 3, what is 1011 - -12?
1100
In base 5, what is 1012 + 4?
1021
In base 14, what is 26b - -b?
278
In base 6, what is -121 - -111?
-10
In base 3, what is -12102020 - -12?
-12102001
In base 8, what is -10343 - 3?
-10346
In base 2, what is 11 + -11010?
-10111
In base 3, what is 21 + 100?
121
In base 3, what is 1100002 - -1?
1100010
In base 12, what is 149 - -9?
156
In base 7, what is 3 - -645?
651
In base 6, what is -1 + -214?
-215
In base 4, what is -1321 + -2?
-1323
In base 14, what is -4 - 1031?
-1035
In base 12, what is -4 - -20?
18
In base 3, what is 0 + 11100?
11100
In base 2, what is -11110 - -10?
-11100
In base 4, what is 2 + -1333?
-1331
In base 6, what is 1342 + 4?
1350
In base 2, what is 1010000101 + 1011?
1010010000
In base 6, what is -30 - -1?
-25
In base 15, what is -311 + -4?
-315
In base 16, what is 24 - 28?
-4
In base 16, what is 4 + 11?
15
In base 10, what is 58 - 5?
53
In base 12, what is 19 - -20?
39
In base 10, what is -52 - 3?
-55
In base 4, what is -1 - -30?
23
In base 10, what is 11 - 6?
5
In base 12, what is -345 + 7?
-33a
In base 13, what is -4668 + 1?
-4667
In base 5, what is -10 + 441?
431
In base 5, what is -3 - -12013?
12010
In base 7, what is 2 - 425?
-423
In base 5, what is 14 + -342?
-323
In base 11, what is 4 + 274?
278
In base 16, what is -4 + f?
b
In base 12, what is 5 + -1764?
-175b
In base 15, what is 4 - 6e?
-6a
In base 8, what is 1 - -1203?
1204
In base 5, what is -4 - -1232?
1223
In base 16, what is 68b + 4?
68f
In base 14, what is 89dc - -4?
8a02
In base 11, what is 35 - -8?
42
In base 11, what is 1 - -10?
11
In base 7, what is 2324 + 4?
2331
In base 2, what is -1000 + 1001010001?
1001001001
In base 4, what is -3 + -12113?
-12122
In base 15, what is -2d + 8?
-25
In base 4, what is -1001 + 10213?
3212
In base 11, what is 1 + -126?
-125
In base 14, what is -497 - 3?
-49a
In base 9, what is 653 - 0?
653
In base 13, what is 1c - -9?
28
In base 13, what is 89 - -7?
93
In base 12, what is 1 - 65?
-64
In base 5, what is -230 + 141?
-34
In base 14, what is d + 4?
13
In base 3, what is -1 - 101?
-102
In base 15, what is -13a + -1?
-13b
In base 5, what is -2102 - 4?
-2111
In base 9, what is -5 + -82?
-87
In base 11, what is 609 + -5?
604
In base 14, what is -10 - -25?
15
In base 8, what is 42 - -5?
47
In base 11, what is -8 - 54?
-61
In base 8, what is -46 + -21?
-67
In base 9, what is 5 - -6?
12
In base 3, what is -2021 - 11?
-2102
In base 3, what is -122112 + 22?
-122020
In base 11, what is 3 + -2a7?
-2a4
In base 7, what is -1 + -3154?
-3155
In base 14, what is -26 - -7?
-1d
In base 5, what is 13 - -311?
324
In base 9, what is 20 - 3?
16
In base 12, what is -5b5 - 4?
-5b9
In base 6, what is 3 + -21353?
-21350
In base 7, what is -225 + 22?
-203
In base 2, what is -1111 - -1?
-1110
In base 7, what is -4 - -40?
33
In base 15, what is -be - 4?
-c3
In base 6, what is 255 + -12?
243
In base 14, what is -5 + 136d?
1368
In base 2, what is -110 - 111000111?
-111001101
In base 14, what is -6 + -8?
-10
In base 12, what is 13 - 19?
-6
In base 8, what is -4 + 61?
55
In base 7, what is 4123 + 1?
4124
In base 7, what is 5 - -4153?
4161
In base 15, what is -2 + 549?
547
In base 8, what is -16 - 24?
-42
In base 3, what is 12 - -201021?
201110
In base 7, what is -42 - -34?
-5
In base 8, what is -134 - -46?
-66
In base 7, what is -136 + 4?
-132
In base 10, what is 150 + -21?
|
{
"pile_set_name": "DM Mathematics"
}
|
e factors of 3711236569.
103, 739, 48757
What are the prime factors of 8110522?
2, 7, 167, 3469
What are the prime factors of 190847634?
2, 3, 31807939
List the prime factors of 2890632082.
2, 13, 111178157
List the prime factors of 2539063440.
2, 3, 5, 109, 32353
List the prime factors of 477576502.
2, 13, 1051, 17477
What are the prime factors of 60840710?
2, 5, 7, 869153
List the prime factors of 3735342846.
2, 3, 691, 300317
List the prime factors of 92222191.
101, 139, 6569
List the prime factors of 2872395.
3, 5, 21277
What are the prime factors of 143307920?
2, 5, 7, 255907
List the prime factors of 1607360521.
13, 53, 179453
What are the prime factors of 10481452?
2, 17, 9067
List the prime factors of 63743957.
63743957
List the prime factors of 1054625952.
2, 3, 31, 354377
What are the prime factors of 2418353234?
2, 11, 109925147
What are the prime factors of 166713869?
7, 1061, 22447
What are the prime factors of 1341665299?
13, 89, 823, 1409
List the prime factors of 57907497.
3, 19, 59, 67, 257
What are the prime factors of 577046260?
2, 5, 7, 47, 87697
What are the prime factors of 79100880?
2, 3, 5, 329587
What are the prime factors of 698963562?
2, 3, 11, 103, 34273
List the prime factors of 69881690.
2, 5, 6988169
List the prime factors of 105290388.
2, 3, 7, 139273
What are the prime factors of 245198954?
2, 7, 11, 13, 122477
What are the prime factors of 22168035?
3, 5, 29, 16987
List the prime factors of 795653211.
3, 265217737
What are the prime factors of 366574681?
11, 61, 659, 829
List the prime factors of 41972620.
2, 5, 233, 9007
List the prime factors of 855834619.
53, 16147823
List the prime factors of 61792149.
3, 20597383
What are the prime factors of 26852214?
2, 3, 17, 263257
List the prime factors of 104693348.
2, 431, 60727
List the prime factors of 71754564.
2, 3, 7, 19, 44959
List the prime factors of 1922979925.
5, 107, 718871
What are the prime factors of 10129421?
227, 44623
List the prime factors of 4416681213.
3, 7, 137, 511723
List the prime factors of 3127216065.
3, 5, 43, 383, 12659
List the prime factors of 5312078383.
17, 1613, 193723
List the prime factors of 24399286.
2, 12199643
What are the prime factors of 691422892?
2, 691, 250153
List the prime factors of 57630787.
59, 61, 67, 239
List the prime factors of 1193073710.
2, 5, 23, 5187277
List the prime factors of 1101695.
5, 7, 31477
List the prime factors of 40450285.
5, 8090057
What are the prime factors of 2566317450?
2, 3, 5, 17, 223, 4513
What are the prime factors of 365396444?
2, 7, 151, 86423
List the prime factors of 1575545131.
1575545131
List the prime factors of 4680575.
5, 187223
What are the prime factors of 4832285499?
3, 178973537
What are the prime factors of 2530155192?
2, 3, 4591, 22963
List the prime factors of 1981455325.
5, 503, 157571
What are the prime factors of 214439883?
3, 7, 733, 13931
What are the prime factors of 345308101?
31, 197, 56543
What are the prime factors of 3619139?
19, 67, 2843
What are the prime factors of 29722459?
13, 31, 131, 563
What are the prime factors of 30439793?
61, 569, 877
What are the prime factors of 60358849?
60358849
What are the prime factors of 543544863?
3, 13331, 13591
What are the prime factors of 130275289?
23, 73, 77591
List the prime factors of 680198103.
3, 13, 29, 307, 653
List the prime factors of 767391209.
13, 19, 3106847
List the prime factors of 365549298.
2, 3, 1031, 59093
List the prime factors of 266742053.
17, 181, 86689
List the prime factors of 43056993.
3, 7, 2050333
List the prime factors of 704206263.
3, 1523, 154127
What are the prime factors of 116525435?
5, 13, 31, 57829
List the prime factors of 491055157.
37, 13271761
What are the prime factors of 128757944?
2, 7, 2299249
What are the prime factors of 1455466524?
2, 3, 121288877
What are the prime factors of 85604098?
2, 42802049
List the prime factors of 37186108.
2, 71, 127, 1031
List the prime factors of 86282640.
2, 3, 5, 293, 409
What are the prime factors of 12931058?
2, 7, 19, 173, 281
What are the prime factors of 6013080392?
2, 11, 68330459
What are the prime factors of 582763509?
3, 64751501
What are the prime factors of 220729215?
3, 5, 7, 2102183
List the prime factors of 1920321072.
2, 3, 29, 459847
List the prime factors of 233214543.
3, 25912727
List the prime factors of 361744728.
2, 3, 631, 23887
What are the prime factors of 30498785?
5, 2393, 2549
What are the prime factors of 1990316669?
11, 41, 4413119
List the prime factors of 1870426808.
2, 233803351
What are the prime factors of 553730877?
3, 7, 2929793
What are the prime factors of 388542235?
5, 77708447
List the prime factors of 18758515.
5, 3751703
What are the prime factors of 18355998?
2, 3, 61, 50153
List the prime factors of 135639966.
2, 3, 7, 11, 61, 4813
What are the prime factors of 3566437?
7, 577, 883
List the prime factors of 370537266.
2, 3, 11, 5614201
List the prime factors of 1344221345.
5, 71, 3786539
List the prime factors of 2717567789.
59, 4931, 9341
What are the prime factors of 4145708468?
2, 11, 17, 326023
List the prime factors of 9013350098.
2, 233, 19341953
List the prime factors of 20282646.
2, 3, 3380441
What are the prime factors of 1103388366?
2, 3, 17, 1699, 6367
What are the prime factors of 391552094?
2, 195776047
What are the prime factors of 110093750?
2, 5, 13, 271
List the prime factors of 502373934.
2, 3, 83, 112087
List the prime factors of 8495051703.
3, 41, 69065461
List the prime factors of 28914135.
3, 5, 233, 8273
What are the prime factors of 26470248?
2, 3, 7, 157561
What are the prime factors of 292240513?
43, 79, 86029
List the prime factors of 15721244.
2, 7, 11, 51043
What are the prime factors of 3549045?
3, 5, 223, 1061
What are the prime factors of 2223428332?
2, 71, 1237, 6329
What are the prime factors of 4324773000?
2, 3, 5, 1441591
What are the prime factors of 4480717155?
3, 5, 439, 680443
What are the prime factors of 4367209001?
607, 1291, 5573
List the prime factors of 2470913300.
2, 5, 43, 574631
List the prime factors of 804651998.
2, 613, 656323
List the prime factors of 101067399.
3, 3743237
What are the prime factors of 21182299?
21182299
What are the prime factors of 1910644948?
2, 31, 1231, 12517
List the prime factors of 9135769545.
3, 5, 7, 2017, 4793
List the prime factors of 5971027.
5971027
What are the prime factors of 94340313?
3, 1783, 5879
List the prime factors of 2828175132.
2, 3, 235681261
What are the prime factors of 778251174?
2, 3, 127, 1021327
List the prime factors of 4237058659.
29, 53, 2756707
List the prime factors of 21207824.
2, 11, 41, 2939
What are the prime factors of 43820922?
2, 3, 911, 8017
List the prime factors of 21031634.
2, 13, 101, 8009
What are the prime factors of 1086654976?
2, 11, 61, 3163
What are the prime factors of 384935177?
11, 34994107
What are the prime factors of 629297730?
2, 3, 5, 193, 36229
List the prime factors of 85242386.
2, 17, 439, 5711
What are the prime factors of 356070441?
3, 509, 233183
What are the prime factors of 219814122?
2, 3, 11, 373, 8929
List the prime factors of 515276187.
3, 171758729
What are the prime factors of 3353342589?
3, 1367, 272563
What are the prime factors of 284747001?
3, 7, 11, 112061
List the prime factors of 189395186.
2, 94697593
What are the prime factors of 3065093?
757, 4049
What are the prime factors of 63104339?
19, 73, 45497
List the prime factors of 99877378.
2, 1709, 29221
What are the prime factors of 4263783551?
29, 43, 61, 56053
What are the prime factors of 120789359?
120789359
List the prime factors of 6522091927.
13, 223, 2249773
What are the prime factors of 73365851?
13, 41, 59, 2333
What are the prime factors of 3842866003?
67, 149, 384941
List the prime factors of 694677249.
3, 7, 47, 78203
List the prime factors of 16148354.
2, 37, 47, 4643
What are the prime factors of 1092488836?
2, 273122209
List the prime factors of 768880559.
197, 751, 5197
What are the prime factors of 33344809?
29, 31, 1279
List the prime factors of 131605305.
3, 5, 13, 19, 35521
List the prime factors of 1713042196.
2, 17, 2011, 12527
List the prime factors of 49759172.
2, 277, 44909
What are the prime factors of 353819616?
2, 3, 31, 118891
List the prime factors of 122921261.
|
{
"pile_set_name": "DM Mathematics"
}
|
3*b + 891. Give z(21).
-12
Let w(n) = 4*n**2 + 543*n + 905. Determine w(-134).
-33
Let x(b) = 8*b**2 - 10*b + 26. What is x(6)?
254
Let d(v) = 431*v + 3495. Determine d(-8).
47
Let i(o) = 7*o**2 + 24*o - 55. Determine i(2).
21
Let r(o) = 2*o**3 + 13*o**2 + 65*o + 356. Give r(-6).
2
Let d(o) = -4*o**2 + 247*o + 6219. Determine d(81).
-18
Let f(u) = u**3 + 14*u**2 + 8*u + 21. Determine f(-6).
261
Let r(m) = -m**2 - 35*m - 651. Determine r(-25).
-401
Let a(l) = 3*l**2 + 826*l + 5671. What is a(-7)?
36
Let s(m) = 9*m + 32. Calculate s(2).
50
Let z(l) = -3*l**3 - 4*l**2 - 18*l - 113. Calculate z(-5).
252
Let v(y) = -287*y - 12918. Give v(-45).
-3
Let i(b) = -6*b**3 - 2*b**2 + 84*b - 81. What is i(1)?
-5
Let x(f) = -f**3 - f**2 + 24*f + 48. Calculate x(-4).
0
Let l(z) = 2*z**2 + 22*z - 819. Give l(18).
225
Let b(f) = 3*f**2 + 1002*f + 2008. Calculate b(-2).
16
Let w(t) = 3*t**2 + 45*t - 2. Give w(-17).
100
Let z(m) = m**2 + 189*m + 1098. Calculate z(-183).
0
Let a(q) = -1585*q - 9581. Give a(-6).
-71
Let j(m) = 32*m + 77. Give j(-5).
-83
Let v(g) = -170*g + 1537. What is v(9)?
7
Let x(a) = -9*a**2 + 40*a + 40. What is x(-1)?
-9
Let c(z) = -43*z + 1986. What is c(52)?
-250
Let q(i) = i**2 - 11*i + 113. Determine q(17).
215
Let v(c) = -361*c - 751. Give v(-2).
-29
Let h(n) = -25*n - 2212. Give h(-88).
-12
Let c(d) = 993*d**2 - 6948*d - 22. Determine c(7).
-1
Let w(u) = 78*u + 1172. What is w(-15)?
2
Let q(f) = -f**2 + 119*f - 1325. Calculate q(15).
235
Let b(x) = x**2 + 13*x - 154. Give b(8).
14
Let r(t) = -t**3 + 31*t**2 - 122*t + 2746. What is r(30)?
-14
Let a(s) = -s**2 + 30*s + 74. Determine a(30).
74
Let q(c) = 483*c - 4352. Calculate q(9).
-5
Let l(h) = h**3 - 8*h**2 + h - 29. Give l(8).
-21
Let k(h) = -6*h**2 + 27*h + 347. Calculate k(-7).
-136
Let w(m) = -29*m**2 + 176*m - 20. Give w(6).
-8
Let z(d) = 14946*d + 89657. Calculate z(-6).
-19
Let r(m) = 6389*m - 140553. Determine r(22).
5
Let r(a) = 9*a - 1055. Determine r(-7).
-1118
Let o(b) = -3*b**2 - 80*b + 250. What is o(3)?
-17
Let u(b) = 5*b**2 - 3*b - 109. What is u(6)?
53
Let w(p) = -4*p**3 + 130*p**2 - 64*p - 1. Determine w(32).
-1
Let d(a) = -37*a - 1018. Calculate d(-27).
-19
Let g(n) = 103*n - 962. Determine g(9).
-35
Let c(b) = -9216*b + 55274. Determine c(6).
-22
Let g(t) = t**2 + 326*t + 1909. Determine g(-6).
-11
Let n(h) = -46*h**2 + 552*h - 8. Calculate n(12).
-8
Let f(m) = 419*m**3 + 2*m**2 + m - 1. Determine f(-1).
-419
Let g(t) = -20*t**2 + 231*t + 73. What is g(12)?
-35
Let d(r) = -2*r**3 + 16*r**2 - 13*r + 75. Determine d(7).
82
Let p(b) = 1010*b - 1000. Give p(1).
10
Let f(c) = 2*c**3 - 50*c**2 + 259*c - 99. Determine f(18).
27
Let q(x) = 64*x**3 + 7*x**2 - 8*x + 1. What is q(1)?
64
Let x(d) = 285*d + 292. Give x(-1).
7
Let d(z) = -71*z**2 - 32021*z - 2. Give d(-451).
-2
Let u(w) = -2*w**3 + 44*w**2 - 117*w + 66. Calculate u(19).
9
Let g(t) = -2*t**2 + 30*t + 2. Give g(15).
2
Let k(w) = 2*w**2 - 27*w - 94. Determine k(-5).
91
Let h(q) = -236*q - 3. What is h(-1)?
233
Let l(a) = -a**3 - 2*a + 10. Calculate l(0).
10
Let t(a) = 601*a + 32416. Determine t(-54).
-38
Let s(a) = -9*a**2 + 300*a - 1712. Determine s(26).
4
Let h(k) = k**3 + 34*k**2 + 23*k - 237. Calculate h(-33).
93
Let f(y) = y**2 + 11234*y + 134662. What is f(-12)?
-2
Let m(i) = 2*i**2 - 874*i + 44604. What is m(378)?
0
Let b(a) = 167*a - 474. What is b(3)?
27
Let y(z) = -3*z**2 + 2*z + 17. Give y(-9).
-244
Let t(s) = -s**3 + s**2 + 6*s + 11. Calculate t(5).
-59
Let o(h) = h**3 + 57*h**2 - 2848*h - 14. Determine o(-89).
-14
Let f(q) = q**3 + 21*q**2 - 135*q - 124. What is f(-26)?
6
Let x(a) = -386*a + 8855. What is x(23)?
-23
Let z(a) = 42*a - 652. Calculate z(19).
146
Let g(x) = 147*x + 2058. Give g(-15).
-147
Let m(a) = a**3 - 5*a**2 - 13*a - 16. Determine m(7).
-9
Let s(n) = -2*n**3 - 5*n**2 - 6*n - 6. What is s(2)?
-54
Let f(x) = -9*x**3 + 1143*x**2 + 2*x - 255. Calculate f(127).
-1
Let p(a) = -75*a + 4. Give p(3).
-221
Let a(f) = 11*f + 488. Determine a(-39).
59
Let j(s) = -s**2 + 101*s - 1487. Calculate j(18).
7
Let d(j) = -3*j**3 + 589*j**2 + 395*j - 195. Determine d(197).
2
Let j(o) = o**2 - 973*o + 5781. Give j(6).
-21
Let a(f) = 16*f**2 + 39*f + 6. Give a(-8).
718
Let z(h) = 2152*h + 12911. Calculate z(-6).
-1
Let y(f) = -18*f**3 + 2*f**2 - 10*f - 12. What is y(-2)?
160
Let y(w) = 3*w**3 + 26*w**2 + 17*w + 35. What is y(-8)?
27
Let w(d) = d**2 + 15*d - 326. What is w(15)?
124
Let x(c) = 36*c - 1195. Give x(33).
-7
Let u(n) = -n**3 + 28*n**2 - 169*n + 173. What is u(20)?
-7
Let w(j) = j**3 + 13*j**2 + 24*j - 16. Calculate w(-11).
-38
Let l(y) = -3*y**2 + 43*y - 48. Calculate l(13).
4
Let l(b) = -b**3 - 13*b**2 - 35*b - 20. What is l(-4)?
-24
Let s(y) = -2*y**2 + 166*y - 3267. Give s(32).
-3
Let b(s) = -s**2 + 42*s - 199. What is b(5)?
-14
Let m(o) = -o**3 - 45*o**2 - 12*o - 543. Determine m(-45).
-3
Let r(d) = d**3 - 71*d**2 + 169*d - 2139. Calculate r(69).
0
Let k(s) = s**2 + 29*s + 12. What is k(-8)?
-156
Let p(z) = 2*z**3 - z**2 + z - 149. Calculate p(0).
-149
Let v(h) = 2788*h + 8309. Give v(-3).
-55
Let z(d) = -8*d + 515. Calculate z(45).
155
Let y(s) = -276*s - 69294. Give y(-251).
-18
Let x(q) = q**3 - q**2 - q + 7. What is x(2)?
9
Let l(w) = w**3 + 10*w**2 + 13*w + 98. Determine l(-9).
62
Let s(l) = l**3 + 14*l**2 - 22*l + 37. Determine s(-16).
-123
Let d(o) = -2*o + 20. Calculate d(22).
-24
Let z(m) = -1101*m + 6611. Determine z(6).
5
Let y(v) = -v**3 + 6*v**2 - 2*v - 17. Calculate y(5).
-2
Let c(p) = -p**3 + 6*p**2 - 5710*p + 22801. What is c(4)?
-7
Let v(g) = -46*g + 87. Calculate v(4).
-97
Let q(n) = -56*n + 6775. Calculate q(121).
-1
Let l(c) = 23*c**2 - 435*c - 38. What is l(19)?
0
Let r(c) = 2*c**2 + 123*c + 108. Determine r(-60).
-72
Let t(p) = -28*p + 12. Calculate t(-3).
96
Let r(m) = -35*m + 21. Determine r(4).
-119
Let a(l) = 24*l - 733. Calculate a(30).
-13
Let v(c) = c**3 - 15*c**2 + 5*c - 4. Determine v(15).
71
Let t(i) = -i**3 - 9*i**2 + 13*i + 31. Determine t(-11).
130
Let t(z) = -50*z**2 + 526*z + 27. Determine t(11).
-237
Let o(q) = -54*q - 764. Give o(-14).
-8
Let x(n) = -n**3 + 4*n**2 + 9*n - 23. What is x(4)?
13
Let v(w) = -30*w**2 - 37*w + 44. Give v(1).
-23
Let y(m) = 9*m**2 - 37*m + 28. Calculate y(4).
24
Let b(n) = -44*n - 252. What is b(-6)?
12
Let n(h) = 3*h**2 + 55*h + 136. What is n(-17)?
68
Let m(w) = 1095*w - 20816. What is m(19)?
-11
Let r(f) = -f**2 - 168*f - 940. Determine r(-6).
32
Let z(u) = -39815*u - 119435. Give z(-3).
10
Let k(r) = -r**3 - 9*r**2 + r + 297. What is k(0)?
297
Let l(g) = 27*g**2 - 834*g - 85. Give l(31).
8
Let g(w) = w**2 + w - 201. Calculate g(15).
39
Let v(o) = -15*o**3 + 510*o**2 + 17*o - 576. Calculate v(34).
2
Let f(h) = -83*h - 1008. Give f(-11).
-95
Let w(c) = 93*c - 1967. Determine w(15).
-572
Let a(i) = i**2 - 105*i - 552. Calculate a(-5).
-2
Let u(l) = 2*l**3 + 26*l**2 - 18*l - 240. Determine u(-13).
-6
Let k(r) = -r**2 + 31*r + 207. What is k(-6)?
-15
Let d(g) = -g**3 + 78*g**2 - 81*g + 315. Give d(77).
7
Let w(c) = 903*c + 4517. Determine w(-5).
2
Let r(o) = -3*o**2 + 87*o - 4. Determine r(29).
-4
Let h(l) = 2*l**3 + 82*l**2 + 5*l + 190. Give h(-41).
-15
Let l(f) = 3*f**2 - 62*f + 98. Calculate l(16).
-126
Let r(n) = 8*n + 190. Give r(-21).
22
Let n(b) = 2*b**2 + 54*b - 502. What is n(-34)?
-26
Let j(h) = 277*h - 20792. Determine j(75).
-17
Let g(m) = -13*m + 168. Determine g(-33).
597
Let u(p) = 69*p + 2280. What is u(-33)?
3
Let r(p) = -2*p**2 + 338*p - 3743. Give r(157).
25
Let h(f) = -3*f**2 + 126*f - 91. Calculate h(41).
32
Let z(y) = 3*y**3 + 15*y**2 + 5*y + 11. Calculate z(-5).
-14
Let j(n) = n**3 + 40*n**2 - 42*n - 10. Determine j(-41).
31
Let a(b) = 2*b**2 - 52*b - 218. What is a(-4)?
22
Let a(f) = -5*f**3 - 22*f**2 - 2*f - 17. Give a(-4).
-41
Let z(q) = -q**3 - 10*q**2 + 23*q + 36. What is z(-10)?
-194
Let l(k) = 1963*k - 17666. Give l(9).
1
Let i(u) = -15*u - 353. Give i(-27).
52
Let g(b) = 17*b**3 - 2921*b**2 - 517*b + 179. Determine g(172).
7
Let v(l) = 63*l - 1571. Determine v(24).
-59
Let s(v) = v**3 + v**2 + 4*v - 143. Calculate s(0).
-143
Let q(t) = 3*t**2 - 39*t - 1370. Give q(28).
-110
Let y(g) = -g**3 - 49*g**2 - 586*g - 203. Determine y(-29).
-29
Let h(b) = b**3 + b**2 + 2*b - 92. Calculate h(0).
-92
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
92/9. Which is the second biggest value? (a) 1/11 (b) -7 (c) q
a
Let d = -232 + 467/2. Let j = 3 + -4. What is the smallest value in -0.03, j, d?
j
Let v = 388 - 3500/9. Which is the second smallest value? (a) 6 (b) v (c) -2 (d) 5
b
Let z = 226.67 + -227. Let v = -0.4 + 0.74. Let j = v + z. Which is the smallest value? (a) j (b) -2/3 (c) -3/5
b
Let k = 1744 - 1739. What is the smallest value in -3, -12/5, k?
-3
Let y be 46 - ((-24)/(-40))/(2/10). Let m = 47 - y. What is the second smallest value in m, 0.1, -2, -0.1?
-0.1
Let i = -2725 + 2735. Which is the second smallest value? (a) -2/5 (b) 5 (c) i (d) -1
a
Let j = -15.68 - -15. Let o = -0.13 - j. Let z = o - 0.15. Which is the third biggest value? (a) z (b) 1/7 (c) 0
c
Let l = 568.89 - 569. Let i = -7.5 - -7.11. Let q = l + i. What is the third biggest value in 0.09, q, 0?
q
Let c = 376.3 - 376. What is the second smallest value in 7/3, 5, 0.1, c?
c
Let j = -0.3 - -0.5. Let l = 22.9 - 31.9. What is the biggest value in j, 3, l?
3
Suppose 0 = -r + 3*r - 10. Suppose 0 = -8*x + 13*x. Suppose x = -3*q - r*m - 1 + 2, 0 = -5*q - 5*m - 5. What is the second biggest value in q, -3/7, -1?
-1
Let n = -498 - -494. What is the biggest value in n, -5, 1/300, 3?
3
Let c = 6.94 - 7. Let g = c + 0.46. Let j = 2503/4 - 626. What is the smallest value in j, -4, g?
-4
Let u = -33 - -33.44. Let a = u - 0.54. What is the biggest value in -4, -2, a?
a
Let i = 23 + -20. Let x(g) = 12*g + 3 + 5*g**2 - 6*g + 0*g - 2*g**i + 3*g**3. Let m be x(-4). Which is the third biggest value? (a) 0.2 (b) m (c) 0.1
b
Let g be (-7)/(1260/(-296)) + 0. Let i = g - 28/15. Which is the third biggest value? (a) -0.1 (b) i (c) -0.3 (d) 0.4
b
Let s be (-7)/(-6)*68/(-357). Which is the fourth biggest value? (a) -12 (b) 2 (c) -1/4 (d) s
a
Let r = -0.21 + 1.51. Let n = r + -4.3. What is the third biggest value in -1/3, 0.2, n?
n
Let z be (-2)/(0/(-3) - 1). Suppose -z*g + g = -2*r - 16, 0 = g - 4. Let y be ((-9)/90)/((-1)/r). Which is the biggest value? (a) y (b) -2 (c) -3
a
Let z be 24/(-20)*18/(-36). Which is the second smallest value? (a) z (b) 2 (c) -3.9 (d) 0.3
d
Let k = -164 + 80. Let b = k + 83.8. What is the fourth biggest value in 19, 1/9, b, 1?
b
Let f = -405 - -7697/19. Which is the third smallest value? (a) f (b) -0.3 (c) 3/4 (d) 0.4
d
Let v = -4/46417 + -4906936/46417. Let j = -153 + 47. Let r = j - v. Which is the second smallest value? (a) r (b) -0.04 (c) -1/5
c
Let w(s) = -s**3 - s**2 + s - 4. Let m be w(0). Let t = -178/217 - -21/31. Let j = 3 - 5. What is the third biggest value in m, t, j?
m
Let t(m) = -13*m - 6. Let h be t(7). Let z = h + 385/4. What is the second biggest value in -0.4, 0, z?
-0.4
Let y be (22/(-6) + 5)*6/(-14). Which is the second biggest value? (a) -0.4 (b) y (c) -0.048
a
Let q = -83.1 - -9.1. Let c = -52 - q. Let j = c - 24. What is the third biggest value in 5, j, 0.3?
j
Let s be 1 + 4/(-3) - 1. Let j = 23 - 25. Let v be (1/(-7))/(j/8). Which is the biggest value? (a) -1/4 (b) v (c) s
b
Let s = 0.5 + -0.4. Let w = -0.375 + 0.175. Which is the third smallest value? (a) 3 (b) w (c) s
a
Let s = 347.18 + -347. Which is the second biggest value? (a) -2 (b) -0.3 (c) s (d) 1
c
Let k be 16/12 - 2/(-3). Let n be 16/((-1)/(-1)) + k. Let s = -17 + n. What is the second biggest value in 3/4, -5/2, s?
3/4
Let u be 651/(-186)*(2/(-28) - 0). Let f = -26 - -20.1. Let c = -0.9 - f. What is the second biggest value in u, c, -2/3?
u
Let z = 41 - 68. Let x be (z/(-6))/((-1)/2). Let y = x + 4. Which is the biggest value? (a) -2 (b) 2/9 (c) y
b
Let h = -92.6 - -105. Let y = h + -12. Let x = -8 + 7.97. Which is the third biggest value? (a) x (b) y (c) -5
c
Let m = 791 - 791.5. Which is the second smallest value? (a) 1 (b) -0.3 (c) m (d) 3
b
Let p(i) = i**3 - 4*i**3 + 5 - 6*i + i**3 + i**3 + 9*i**2. Let w be p(8). Let o = w + -21. Which is the second smallest value? (a) -0.1 (b) -2 (c) o
a
Let x be (-30)/(-495)*(2 - -1). What is the second biggest value in 0, 4/5, 1/5, x?
1/5
Let d = -148/7 - -289/14. What is the third biggest value in d, 2/19, -0.2?
d
Let p be -6 - (-91)/14 - (-14)/4. Which is the third smallest value? (a) -0.2 (b) 5/7 (c) p (d) 1
d
Let r be 2/5 - (-1422)/(-405). Let d = 382/117 + r. What is the biggest value in 0.14, d, -3?
d
Suppose -3*q = -5*k + 10*k + 1, -3*k + 4*q - 18 = 0. Let w = 0.1 + 0.3. Let b = -0.2 + -0.1. What is the third biggest value in b, k, w?
k
Let r be -4*(-4 + 105/28). What is the third biggest value in r, -25/13, 1/2?
-25/13
Let m = -609 - -625. What is the biggest value in m, -1/2, -0.3?
m
Let j = -10.361 - -10.3. Let w = 1.101 + j. Let q = 0.04 - w. What is the third smallest value in q, -2, -5?
q
Let j = 89/370 - 3/74. Which is the third biggest value? (a) -2/13 (b) 3/11 (c) j
a
Suppose 2*l - 5*x = l - 208, l + 176 = -3*x. Let u = l - -184. Let y = 8 - 13. Which is the second smallest value? (a) y (b) 0.07 (c) u
c
Let y be (-1 + 2)*(3 - (-3 + 1)). What is the biggest value in -3/4, 1/23, y?
y
Let f = 0.99 + 15.61. Let h = f + -17. Which is the second biggest value? (a) 2/7 (b) h (c) -2/9
c
Let q be (7 + 220/(-28))*(-2)/(-4). Which is the smallest value? (a) 5 (b) q (c) -5
c
Let i = -717 - -717.4. What is the second smallest value in -0.6, 0, i?
0
Suppose -3*t + 15 = 2*t. Let z = -78 + t. Let j = -227/3 - z. What is the biggest value in 3, j, -8?
3
Let l = 177284/43 - 4124. What is the third smallest value in l, 1, -0.2?
1
Let l = -0.0746 - 3.9254. Let t be (10/(-25))/(1/5). What is the biggest value in l, t, 0?
0
Suppose -43*x = 132 + 83. Let i be (2/(-5))/((-3)/(-15)). Which is the smallest value? (a) x (b) 0.03 (c) i
a
Let t = -8 - -6. Let q = 38 + -43. Which is the fourth biggest value? (a) t (b) 0.3 (c) -0.2 (d) q
d
Let x = -27.95 + 28.1. What is the biggest value in -5, 2, -0.01, x?
2
Let o = -14.1 + 14.159. Let i = o + -3.159. Let m = i - 0.9. Which is the second smallest value? (a) -0.3 (b) m (c) -2/5
c
Let i = -6 + 6.05. Let y = i + -0.01. Let m = 228 + -226. What is the third biggest value in -0.5, y, m?
-0.5
Let m be 4/8 - 140/(-8). Let w = m + -16. Which is the second biggest value? (a) 3/4 (b) w (c) -0.23
a
Let o = 436 + -435. Which is the fourth biggest value? (a) -1/5 (b) o (c) -4 (d) -0.3
c
Let h = 48.9 + -49.1. Let j = 0.4 - 0.3. Suppose 5 = -2*w + 15. Which is the third smallest value? (a) h (b) j (c) w
c
Let u = -14.7 + 15.2. Let h = -1549/4850 + 17/50. Let m = 188/291 + h. Which is the biggest value? (a) -3 (b) m (c) u
b
Let y = -6 + -9. Let h = -10 - y. Let r = 0.39 + -0.09. What is the third biggest value in r, -0.1, h?
-0.1
Let v = 0.18 + 14.82. Let f = -14.4 - -4.4. Let w = v + f. Which is the third smallest value? (a) 0.1 (b) w (c) 2/7
b
Let w = 1.394 + -0.394. What is the biggest value in 15, w, 4?
15
Let q = 0.298 - -0.702. What is the smallest value in 0.1, q, -0.7?
-0.7
Let w = -113 + 163. Let k be (w/15)/((-1)/(-12)). Let m be (16/k)/(1/10). What is the third biggest value in m, 5, -1/5?
-1/5
Suppose -4*z - 133 = 3*r, 3*z + 5*r = -2*z - 165. Which is the biggest value? (a) z (b) -3/2 (c) 1/6
c
Let g = -3.03 + 6.03. Let z = -6.1 - -0.1. What is the third smallest value in z, g, 4?
4
Let y = -247 - -743/3. Let l = -0.1 + 0.4. Which is the third smallest value? (a) 2 (b) l (c) y
a
Let z(y) = -y + 2. Let k be z(5). Let h = 21 - -21. Let c be 4/(-16) - h/(-8). What is the second biggest value in k, 0, c?
0
Let m = -67 - -78.8. Let o = -12.4 + m. Which is the second biggest value? (a) 3 (b) 0 (c) o (d) -4
b
Let y = -2.1 + 0.6. Let q = -2 - y. Let w = 14.57 + -12.57. Which is the third smallest value? (a) q (b) w (c) 0.2
b
Let g = 4.9 + -4. Let r = g - 1. Let i = 0.8 - 1.3. What is the biggest value in r, -1/8, i?
r
Let f = 3701/4 + -925. Which is the smallest value? (a) 4 (b) 0.21 (c) 0 (d) f
c
Let k = 1280.5 + -1280. Which is the second smallest value? (a) k (b) -0.4 (c) 4 (d) -2/9
d
Let k = 77.05 - 0.55. Let n = -77 + k. Which is the fourth biggest value? (a) -1.2 (b) 0.3 (c) 3 (d) n
a
Let z = 0.84 + 8.56. Let t = -9.39 + z. Let p = -1 + 4. Which is the biggest value? (a) t (b) p (c) 1
b
Let n = -0.15 + 1.55. Let f = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
48))/(x/(-9)). Which is the second biggest value? (a) y (b) -4/5 (c) p
b
Let a be 10/(-8) + 1 + 0. What is the smallest value in -4, -0.3, a?
-4
Let l = 4 + -3.7. Suppose -w - 3*w = 0. Which is the third biggest value? (a) -2 (b) l (c) w
a
Let h = -30 + 43. Let x = 12.91 - h. Let c = x - 0.01. What is the second smallest value in 4, c, -4?
c
Let f = -23 - -49/2. Let p = 0 + 0.2. Which is the third smallest value? (a) -2 (b) f (c) p
b
Let a be (3 - 1) + (-96)/51. Let o = 223.3 + -223. What is the third smallest value in -0.5, a, o?
o
Let w be (-1)/3 - (-42)/(-9). Let n be (-2*3/(-8))/((-90)/(-16)). Which is the biggest value? (a) 1/9 (b) n (c) w
b
Let d = 5 - 10. Which is the smallest value? (a) 4 (b) d (c) -0.2
b
Let n = -0.2 + 2.6. Let h = n + -2.9. Which is the third biggest value? (a) -0.3 (b) 4 (c) h
c
Let s = 0.568 + -0.028. Let i = s + -0.04. Let v = 0 + -0.4. What is the second biggest value in i, v, 5?
i
Let n = 0.07 + 5.93. Which is the second smallest value? (a) 3 (b) -2/15 (c) -4 (d) n
b
Let x = 3.9 + -4. Let l = -7 + 4. Which is the smallest value? (a) 0.4 (b) x (c) l
c
Let n(u) = u**2 + 3*u + 1. Let y be n(-2). Let o be (14/(280/(-15)))/(6/(-16)). Suppose -4*i - 1 = -5*i. What is the smallest value in i, o, y?
y
Let x = 16 - 13. What is the biggest value in -0.4, 2/5, x?
x
Let o(c) = c - 3. Let b be o(6). Let p = 4 + -10. Let f be ((-5)/(-15))/((-1)/p). What is the second smallest value in -1/6, b, f?
f
Let n(u) = -3*u**3 + 31*u**2 - 9*u - 8. Let o be n(10). Let y = 11 + -7. Let d = -0.3 - 0.2. Which is the second biggest value? (a) o (b) d (c) y
a
Suppose 1 + 7 = -2*l. Which is the smallest value? (a) -2/17 (b) -5 (c) l
b
Let h be (-4)/(-3)*(-294)/(-28). Let q be -3 + (-7)/(h/(-4)). Which is the smallest value? (a) -5 (b) 1/5 (c) q
a
Let x = 527/5 - 105. Let d = -157 + 781/5. What is the third biggest value in x, 1, d?
d
Let r = 1.02 - 1.52. Which is the second biggest value? (a) 4 (b) r (c) -2
b
Let a = -12 + 12. What is the smallest value in 4, -5, a?
-5
Let f = 418/5 + -84. Let g = -2.06 + 2. Let b = -1.94 + g. What is the second smallest value in b, f, -3?
b
Let n = -0.06 - -0.06. Let h = 0.5 - n. Which is the second biggest value? (a) -0.4 (b) h (c) 1
b
Let u = 719 + -10771/15. Let j = u + -11/10. Let t = 0.02 - 0.42. Which is the second smallest value? (a) t (b) j (c) -2
a
Let d(g) = -2*g**2 + 11*g + 17. Let y be d(7). Which is the third biggest value? (a) -2/7 (b) -0.068 (c) y
c
Let y(d) = 4*d**3 - 2*d**2 - 4*d - 3. Let m be y(-1). Which is the biggest value? (a) 4 (b) -0.2 (c) m
a
Let s = 0.57 - -3.43. What is the third smallest value in -2/3, 1/2, s?
s
Let b be (0 + (-3)/(-16))*-4. Let f = 11 - 11. What is the third biggest value in f, -2/5, b?
b
Let u = 2.4 - 0.4. Let r = u + -3. Let x(t) = -t - 1. Let y be x(4). Which is the third biggest value? (a) y (b) 5 (c) r
a
Let t = 0.247 - 0.047. Which is the third biggest value? (a) 3/4 (b) t (c) -4 (d) -0.4
d
Let f = -21 + 16. Which is the second biggest value? (a) -0.2 (b) -4 (c) f
b
Let c = -11 - -14. Let h(n) = n**2 - 5*n - 6. Let z be h(6). Let f = 4.01 + -0.01. What is the smallest value in z, c, f?
z
Let m = 136 + -132. Let p = -0.6 - -0.2. Let q = 1 - 1. Which is the third smallest value? (a) m (b) p (c) q
a
Let m = -5.3 + 1.3. What is the smallest value in -2, 3, m?
m
Let n = 11.5 + -11.5. Let o = -0.6 - -1. What is the third biggest value in 0.1, n, o?
n
Let y = 5 + -4.7. Let o = y + -0.4. Let p be (-2)/6 + (-11)/(-33). Which is the smallest value? (a) o (b) p (c) 4
a
Let l = 0 - 0.2. Let r = l - -0.4. Let s = 55/144 - 1/144. What is the second biggest value in 0.3, s, r?
0.3
Let t be 32/30 + 14/(-21). Suppose -3*d = -3*m - 12, -2*m + 5 = d + 16. What is the biggest value in m, 0.1, t?
t
Suppose 0 = -12*f + 18 + 30. Let u = -12 + 11.93. What is the third biggest value in u, f, 5?
u
Let v = 0.27 - 0.27. Which is the third smallest value? (a) -5 (b) v (c) 0.3
c
Let u(o) = -o**3 + 6*o**2 - 3*o - 5. Let h be u(5). Let r = 3.7 + -3. Let p = 0.7 - r. Which is the third smallest value? (a) p (b) 0.5 (c) h
c
Let d be 46/(-36) + 4/(-18). Let v = -0.4 - 0.1. Which is the third biggest value? (a) d (b) v (c) -1/6
a
Let y = 1.3 + 3.7. Let v(m) = -m + 7. Let f be v(7). Let k be 3 + -1 + f - 1. Which is the biggest value? (a) k (b) -0.4 (c) y
c
Let t = -3 - -4. Suppose -13 = -4*h - t. Which is the third biggest value? (a) h (b) 5 (c) -0.4
c
Let j = 8.9 - 9. What is the second smallest value in 0.2, 3/2, -0.03, j?
-0.03
Let l be 6/7*(-1 - (-15)/8). What is the third smallest value in 3, -1/4, l, 4/5?
4/5
Let h = -1.66 + -0.34. Which is the smallest value? (a) 2/11 (b) h (c) 0.4 (d) -4
d
Let i(p) = -p + 11. Let o be i(9). Let s be (5/(-1085))/(o/(-4)). Let y = s - 233/1736. Which is the biggest value? (a) 0.4 (b) y (c) -1
a
Let f = -17.6 - -18. Which is the smallest value? (a) 2 (b) f (c) -1/10
c
Suppose 56 = -4*y + 4*p - 2*p, -50 = 4*y - 5*p. Let b be (-12)/y + (-108)/110. What is the biggest value in 2/9, b, 3/5?
3/5
Let o = 2 - -3. Let m = -5.4 + o. Let z = 5.4 + m. What is the biggest value in 4, 0.4, z?
z
Suppose -3*s - 40 = -8*s. Let u be ((-3)/s)/((-18)/(-12)). Which is the third smallest value? (a) -1 (b) u (c) 0.1
c
Let f be ((-27)/(-15) - 3) + 1. Let t = -9 + 6. Let u = t - -6. Which is the second smallest value? (a) u (b) f (c) 1/8
c
Let t = 0.211 - 0.011. Which is the second biggest value? (a) t (b) -0.4 (c) 2/5 (d) -0.1
a
Let w = -17 + 13. Let d = 77 - 387/5. Which is the biggest value? (a) d (b) w (c) -3/7
a
Let b = 0.1 - -0.9. Let d = b - 2. Let y = d + -3. What is the third smallest value in y, 0.4, -0.1?
0.4
Let v be (-1)/(-2) + (-110)/20. Which is the third biggest value? (a) -17 (b) 5 (c) v
a
Let l = -1.97 + 2. Let g be (-1)/(4 - (-21)/(-9)). Which is the smallest value? (a) g (b) -1/11 (c) l
a
Let q = 71 - 351/5. Which is the smallest value? (a) 3 (b) q (c) 0.9
b
Let t = 7 - 7.3. Which is the biggest value? (a) t (b) -1 (c) 3
c
Let v = 10 + -7. What is the third biggest value in 6, 2, v, -2/7?
2
Let i be (1 + (-26)/28)*288. Let p = i + -20. Suppose 4*h - 16 = 0, -4*s = -0*h + 5*h - 24. Which is the smallest value? (a) s (b) -3/2 (c) p
b
Let l(i) = -4*i**2 + 12*i**2 - 1 + 0*i - i**3 + 5 - 7*i. Let j be l(7). Suppose 0 = j*v - f + 7, 2*v - f = 2*f + 9. What is the smallest value in -5, -0.1, v?
-5
Let f = -40 + 43.2. Let v = -3 + f. Let j = -0.2 + 0.1. What is the third biggest value in -2/9, v, j?
-2/9
Let q = -43 - -43.5. Which is the third smallest value? (a) 5/4 (b) 4/7 (c) q
a
Let w = 18 + -11. Let z = 6.5 - w. What is the third smallest value in -0.1, -4/3, z?
-0.1
Let g = -151 - -457/3. What is the fourth biggest value in 4, -0.3, g, 0.5?
-0.3
Let k = -4.746 - -0.046. Let a = k - -5. Let h = a + 0.2. What is the third biggest value in -4, 3, h?
-4
Suppose -5 = 2*j - 1. Let y(d) = d**2 + 3*d + 2. Let t be y(j). Let u = 3 + -4. Which is the biggest value? (a) u (b) t (c) -2/7
b
Let m = 2/439 + -1774/3951. Which is the biggest value? (a) 3/5 (b) 0.5 (c) m (d) -5
a
Let v = -1 - 2. Which is the third biggest value? (a) 2 (b) 0.05 (c) v
c
Let j(v) = -8*v - 29. Let o be j(-3). Which is the third biggest value? (a) -0.3 (b) -2/7 (c) 2 (d) o
a
Let h = 22 - 40. Let l = h - -17. Suppose v + 20 = -3*v. Which is the second biggest value? (a) l (b) -2/5 (c) v
a
Suppose 18 - 3 = 3*s. Suppose -m = s, -19 = 3*v + m + m. Which is the third biggest value? (a) -4 (b) v (c) -0.2
a
Let n be (-3)/2*(-22)/(-120). Let g = 1/8 - n. Which is the second biggest value? (a) -1/3 (b) -1/2 (c) g
a
Let z = 44 + -40. Let t = -0.3 - -0.4. Which is the smallest value? (a) -5 (b) t (c) z
a
Let f = 0.484 + 0.016. What is the second smallest value in 0.1, f, 5?
f
Let f = -5.04 + 0.04. Let d be 2/(-16)*(-1 + 3). Which is the third biggest value? (a) d (b) f (c) -1/3
b
Let o = 47 - 49. Which is the second biggest value? (a) 3 (b) o (c) 13
a
Let n(x) = -x**3 + 2*x**2 + 2*x + 1. Let s be n(-1). Let h = 2 + -2.3. Which is the second smallest value? (a) h (b) s (c) 1/5
c
Let t = -3.046 - -0.046. Which is the third biggest value? (a) t (b) -2/
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let k = i - w. Calculate the greatest common divisor of 70 and k.
14
Let r(i) = -i**3 - 9*i**2 - 12*i - 8. Let d be ((-3)/4)/(7/84). Let b be r(d). Suppose 0*n + b = 2*n. Calculate the highest common factor of 10 and n.
10
Suppose -2*n + 7*n + 1285 = 0. Let q = n - -154. Let d = -67 - q. What is the highest common divisor of d and 4?
4
Suppose 46 = z - v, 3*z - 128 = v + 8. Suppose -d - z = -6*d. What is the greatest common divisor of d and 1?
1
Suppose -2*s + 10 = -0*s + 4*w, -5*w + 17 = 4*s. What is the highest common factor of 21 and s?
3
Let s be 174/8 - 1/(-4). Suppose -3*g + m + 103 = 0, -g + 41 = -2*m - 0*m. Calculate the highest common divisor of g and s.
11
Let f be (-1)/(-3) + (-222)/(-9). Let m be 3 + -1 + f + 0. What is the highest common divisor of 18 and m?
9
Let a(x) = -x**2 - 22*x + 21. Let w be a(-22). Suppose -3 = -3*v - 0*v - 2*n, -3*n = -5*v + 24. Calculate the highest common factor of v and w.
3
Let c = -32 - -35. Suppose 0 = 3*z - 31 - 62. Let l = -22 + z. Calculate the greatest common divisor of l and c.
3
Let v(w) = w**3 - 6*w**2 - 2*w + 5. Let j be v(7). Let t = -9 - -15. Let a = t + 4. Calculate the greatest common factor of a and j.
10
Suppose 0 = 4*j - 2*j - 12. Suppose -j = c + 2*p, -10 = -0*c + 2*c + 3*p. Let m be (-3)/6 + (-61)/c. What is the highest common factor of m and 10?
10
Suppose -2*v - 4*d + 368 = 0, 4*v - 3*d = -2*d + 700. Let h be (-3 + 119/35)/((-2)/(-110)). Calculate the highest common factor of h and v.
22
Let i(a) = -a**2 - 6*a. Let d be i(-5). Let u be (8 - 58)*2/(-5). What is the highest common factor of u and d?
5
Let c(k) = 9*k**2 - k - 1. Suppose -y - 6 = -5. Let v be c(y). Let x(n) = n**2 - 4*n + 15. Let j be x(6). Calculate the highest common divisor of j and v.
9
Suppose 4*k = 2*n + 4, -k = 2*n - 5*n - 11. Let a be (3 - 0)/(k/(-3)). Suppose -297 = -2*p - p. Calculate the greatest common factor of p and a.
9
Let v(t) = 3*t - 6. Let d(l) = l**3 - 2*l**2 - 2*l - 2. Let w be d(5). Let y be (w/(-3))/(-3) - 1. Let z be v(y). What is the highest common factor of 12 and z?
12
Let i be ((-8)/10)/(4/(-50)). Let o = -267 + 272. Calculate the greatest common factor of i and o.
5
Suppose a = 6*a + 100. Let i = -6 - -7. Let s be ((-72)/a)/(i/55). Calculate the highest common divisor of 18 and s.
18
Suppose 0 = -2*l + 5 + 7. Suppose -i + l*i = 10. Suppose 0 = 3*p + i*k - 7*k - 49, -69 = -5*p + 2*k. Calculate the greatest common divisor of p and 91.
13
Let a = -117 + 143. What is the greatest common divisor of 65 and a?
13
Suppose w = 5*q - 13, 5*w - 49 = 5*q - 14. Suppose 5*j = 4*j - 13. Let v(p) = p**2 + 10*p + 9. Let r be v(j). What is the greatest common divisor of r and w?
12
Suppose -k + j + 10 = -6, -2*k = -3*j - 37. Let f = 121 + k. Calculate the highest common factor of 12 and f.
12
Let q(w) be the third derivative of 89*w**5/60 + w**3/6 + w**2. Let s be q(-1). Let r = s - 27. What is the highest common divisor of 7 and r?
7
Suppose -3*s + 104 = -2*s. Let q(n) = 5*n - 1. Let b be q(-3). Let a = 29 + b. Calculate the highest common divisor of s and a.
13
Let c be -3*(0 + -3 - 5/3). What is the greatest common factor of 14 and c?
14
Let q = -48 - -51. Calculate the greatest common divisor of 39 and q.
3
Let r be 428/3 - (-12)/(-18). Suppose 3*x = 4*f + 94, 5*f + r - 53 = 3*x. Calculate the highest common factor of 95 and x.
19
Let m be (-1)/(-2 - (-21)/12). Suppose -3*l + m = -11. Calculate the greatest common divisor of 20 and l.
5
Let x be (-2)/5 - 37/(-5). Let r be 6/(-21) - (-428)/28. Let m = 13 + r. What is the greatest common divisor of x and m?
7
Suppose -3*l - 37 = -127. Calculate the highest common factor of 15 and l.
15
Let v(o) = o**3 - 6*o**2 - 10*o - 9. Let h be v(8). Let b(c) = -c**3 + 4*c**2 + 3*c + 1. Let j be b(4). What is the highest common divisor of h and j?
13
Suppose 2*h - 30 = -5*p, -p + 9 = -h - 4. Let t = p + 9. What is the highest common factor of t and 17?
17
Let x = 92 + 12. Let f = -13 - -53. Let d = f - 27. Calculate the highest common divisor of x and d.
13
Let q(v) = 0 - 2*v + 3 + 4 + 7*v - v**2. Let g be q(5). What is the highest common divisor of 14 and g?
7
Let r be 21/2*(-12)/(-9). Suppose 5*n = 3*n + r. Suppose -5*g = -102 - 213. What is the greatest common divisor of n and g?
7
Suppose 7*p = 5*p + 418. What is the greatest common factor of p and 19?
19
Suppose 4*m - 15 = 3*p + 37, -12 = -2*m - 2*p. What is the highest common divisor of 5 and m?
5
Let h be (1 - (-1 + -1)) + -83. Let x = -48 - h. What is the greatest common divisor of 48 and x?
16
Let l(g) = g + 6. Let f be l(6). Calculate the highest common divisor of f and 132.
12
Let v(j) = -2*j**2 + 60*j + 28. Let g be v(30). What is the highest common factor of g and 42?
14
Let u(i) = i**2 + 8*i + 12. Let l be u(-8). What is the highest common divisor of l and 96?
12
Suppose d = 5*f - 219, 0 = -2*f - 2*d - d + 91. Calculate the greatest common divisor of f and 11.
11
Let h(x) be the third derivative of 3*x**4/8 + x**3 - 2*x**2. Let o = 20 - 12. Let d be h(o). Calculate the highest common divisor of d and 13.
13
Suppose 18*r - 11*r = 35. Suppose -f + 3*o + 3 = -4*f, -2*f + 2*o = -10. Calculate the greatest common factor of r and f.
1
Suppose -11*q + 8*q + 189 = 0. What is the highest common factor of 18 and q?
9
Let y(a) = 2*a**2 + 6*a. Let q be y(-5). Let b be 6*(-1)/(-2)*5. Suppose -5*i - b = -f - 0*i, 3*i = f - 13. Calculate the highest common factor of q and f.
10
Let l(x) = -x**3 + 6*x**2 + 16. Let s be l(6). What is the highest common divisor of s and 12?
4
Let i(r) = -299*r. Let m be i(-2). Let n = -388 + m. What is the greatest common divisor of 30 and n?
30
Suppose 3*s - 16 = 14. Let i = -8 + s. Suppose -i*k + k = -24. What is the greatest common divisor of k and 3?
3
Let y = -12 - -5. Let v(w) = w**2 + w - 2. Let j be v(y). Suppose -5 = 2*u - 3*n, -3*u - 4*n + 9*n = 10. What is the highest common divisor of u and j?
5
Let s be -2 + -1 + (5 - -1). Suppose 4*o + 51 = 3*x, -8*o - 67 = -4*x - s*o. Calculate the highest common divisor of x and 78.
13
Suppose -5*d + 4*p + 15 = 0, 2*d - 3 = d + 4*p. Let y = 6 - d. Calculate the highest common divisor of 21 and y.
3
Suppose 506 = 12*t + 11*t. Calculate the highest common factor of t and 2.
2
Suppose 0 = -5*f - 3*p + 21, -2*p - 4 = -4*p. Suppose 0 = -3*j + f + 3. Let o = 6 - 4. Calculate the highest common factor of j and o.
2
Suppose 5*n + 660 = -0*o + 5*o, -2*o + 252 = -5*n. What is the greatest common factor of 17 and o?
17
Suppose -12*x + 5 = -127. What is the highest common factor of 55 and x?
11
Suppose t - 3 = 5*j, 5*j = -t - 4 - 3. Let c be 1 - (1 + (-1 - t)). Let r be (105 + c)*4/8. Calculate the highest common factor of r and 13.
13
Suppose 0 = h + 4*h - 20. Suppose -3*n - 4*w + 18 = -7*w, -5*w = -h*n + 19. What is the highest common divisor of 55 and n?
11
Suppose -u + 5*k = -68, 0 = 5*u - 0*k + 2*k - 205. Calculate the highest common factor of 387 and u.
43
Suppose -g = -3*d - 7, -2*d = -4*g + 2*d + 4. Let r be g*(-1)/2*1. Suppose -r + 7 = 2*p. Calculate the highest common factor of p and 15.
3
Let i(n) = 2*n - n + n + 1. Let u be i(1). Let v = 8 + -6. What is the greatest common divisor of v and u?
1
Let w = 156 - 146. What is the greatest common divisor of w and 290?
10
Suppose 0 = 2*q + v - 53, 4*q + 0*q + 3*v = 111. Calculate the greatest common divisor of q and 36.
12
Let v = 24 + 88. What is the greatest common divisor of v and 16?
16
Let y(a) = -6*a**3 - 4*a**2 - 3*a - 2. Let g be y(-2). Let j = 30 + g. Let z = j - 12. What is the highest common divisor of z and 6?
6
Let u be 8*(-2 - (-14)/4). Suppose 0*s + 5*q = s - 24, 4*q = -u. Calculate the highest common divisor of 72 and s.
9
Let t be (-8)/(-28) - (-150)/14. Calculate the greatest common divisor of 11 and t.
11
Let i(o) = 4*o**2 + 7*o**2 + 3 + 2*o**2 - o**3 - 4*o**2 - 7*o. Let y be i(6). Calculate the greatest common divisor of y and 46.
23
Suppose 0*u = -5*u + 45. Let f(z) = z + 7. Let m be f(2). What is the greatest common factor of m and u?
9
Let i be -18*(4 - (-16)/(-3)). What is the greatest common divisor of i and 8?
8
Suppose 5*t = -4*z + 17, 7*z - 4*z - 9 = -3*t. Suppose 2*b - t*s - 21 = b, -9 = 3*s. Calculate the highest common factor of b and 30.
6
Let u be ((-5)/(-2)
|
{
"pile_set_name": "DM Mathematics"
}
|
/84*k**4 - 1/84*k**6 + 0*k + 0 - 2/105*k**5 + 0*k**3. Factor j(x).
-2*x*(x + 1)*(5*x - 1)/7
Suppose -4*t - 21 = 3. Let b be 1/(2/4) + (t - -44). Solve -2*n**3 - 3*n**5 + 46*n**2 + n**5 - b*n**2 - 6*n**4 + 4*n = 0.
-2, -1, 0, 1
Factor -10/11*c**3 - 86/11*c**2 + 202/11*c - 106/11.
-2*(c - 1)**2*(5*c + 53)/11
Let i = -697/597 + 7367/4776. Let o = 18 + -71/4. Factor -o - i*g - 1/8*g**2.
-(g + 1)*(g + 2)/8
Let w(a) be the third derivative of -a**6/280 - 3*a**5/28 + 25*a**4/14 + 2*a**2 + 27*a - 20. Factor w(j).
-3*j*(j - 5)*(j + 20)/7
Let k(s) = -s**3 - 22*s**2 + 41*s - 168. Let t be k(-24). Let y be t/(-2) - 24/(-6). What is d in -6/13*d**y + 20/13*d**3 - 8/13*d**2 + 0 - 16/13*d = 0?
-2/3, 0, 2
Let v(x) = 11*x**2 + 83*x + 930. Let y(z) = 8*z**2 + 84*z + 920. Let a(j) = 2*v(j) - 3*y(j). Solve a(b) = 0 for b.
-25, -18
Suppose -4*h = 32, -96*x + 91*x - 4*h = 12. Factor -4/7*i**2 + 0*i + 2/7 + 0*i**3 + 2/7*i**x.
2*(i - 1)**2*(i + 1)**2/7
Let r(z) be the third derivative of z**7/70 + 3*z**6/40 - 9*z**5/4 + 77*z**4/8 - 18*z**3 + 4042*z**2. Solve r(h) = 0.
-9, 1, 4
Let z(o) be the second derivative of -19*o**10/6048 - o**9/144 - o**8/672 + 239*o**4/12 + 10*o - 2. Let p(l) be the third derivative of z(l). Factor p(v).
-5*v**3*(v + 1)*(19*v + 2)
What is a in 4*a - 1/2*a**4 - 15/2*a**2 + 8 - 4*a**3 = 0?
-4, -1, 1
Let l = 16 - 0. Let a be (l/10)/(-2)*-5. Find k, given that -k**3 + 0*k**5 - 4*k**5 + 9*k**3 - a*k = 0.
-1, 0, 1
Let t(w) = 3*w + 401. Let n(d) = -11*d - 399. Let a(l) = 2*n(l) + 3*t(l). Let h be a(31). Factor 6*b**h + 48/5*b + 24/5 + 6/5*b**3.
6*(b + 1)*(b + 2)**2/5
Let w(l) be the second derivative of -2/11*l**2 - 1/165*l**6 - 3/22*l**4 - 4*l - 7/33*l**3 - 1/22*l**5 + 1. Factor w(d).
-2*(d + 1)**3*(d + 2)/11
Let b(o) = 74*o + 150. Let v be b(-2). Solve -17*h**2 - 8*h**2 + 40*h + 33*h**v - 4*h**2 = 0 for h.
-10, 0
Determine w, given that w**4 - 1053*w**2 + 22953*w + 31695*w**3 - 87880 - 4870*w - 31694*w**3 = 0.
-40, 13
Let g(t) be the first derivative of 0*t - 2/35*t**5 + 35 + 1/14*t**4 + 0*t**2 - 1/21*t**6 + 2/21*t**3. Factor g(m).
-2*m**2*(m - 1)*(m + 1)**2/7
Let z be -19 - (-4 - -6) - 169747/(-7677). Find f, given that 0*f - 4/9*f**2 - 2/9*f**5 - z*f**3 - 8/9*f**4 + 0 = 0.
-2, -1, 0
Let p(r) be the first derivative of 3*r**2 - 12*r - 1/4*r**3 - 66. Solve p(a) = 0 for a.
4
Let r(f) be the first derivative of -f**8/168 - f**7/105 + f**6/60 + f**5/30 - f**2 - 10*f + 13. Let i(d) be the second derivative of r(d). Factor i(n).
-2*n**2*(n - 1)*(n + 1)**2
Let h(m) be the third derivative of -m**5/60 + 167*m**4/24 - 83*m**3/3 - 1950*m**2. Let h(u) = 0. What is u?
1, 166
Let d be (-2 - (12/30 + -2))*-60. Let w be 1 - (8/d + -1 + 1). Solve 4/3*b + w*b**2 - 2 = 0 for b.
-3, 1
Let g = -644525/6 - -107421. Factor -g*z**4 - 1/6*z**3 - 10/3*z + 0 + 8/3*z**2.
-z*(z - 2)**2*(z + 5)/6
Let 105*t**2 + t**3 + 5*t**3 - 216 + 954*t - 840*t - 9*t**3 = 0. Calculate t.
-2, 1, 36
Solve 83/4*a**2 - 169/4*a + 1/4*a**3 + 85/4 = 0 for a.
-85, 1
Let r be (-10)/(-85) + (-542)/(-17). Suppose 36 = -29*g + r*g. Factor 6*p**2 + 3*p**5 + g*p**4 - 75*p**3 + 0*p + 90*p**3 + 0*p.
3*p**2*(p + 1)**2*(p + 2)
Solve -4040/3 + 3370*v - 25/3*v**2 = 0 for v.
2/5, 404
Let d(t) be the second derivative of -1/3*t**3 + t**2 - 1/24*t**4 - 32*t + 0 + 1/40*t**5. Factor d(n).
(n - 2)*(n - 1)*(n + 2)/2
Let c be -1 + (-2)/6*-57. Suppose -4*m - f = -c - 3, 4*f = 4. Factor -6*r**3 - r**5 + 3*r**5 + r**m + 3*r.
3*r*(r - 1)**2*(r + 1)**2
Let d be 28264/24 + 5*1/(-3). Let k be 553/d - (-10)/(-105). What is p in k - 21/4*p + 147/8*p**2 = 0?
1/7
Let p be ((-50)/6 + 8)/(2/(-146)). Let l(x) be the first derivative of -p*x**3 - 30 + x**4 - 81*x + 171*x**2. Factor l(o).
(o - 9)**2*(4*o - 1)
Solve -204/7*f + 3/7*f**2 - 60 = 0.
-2, 70
Let a = 2622267/10 - 1581031/6. Let j = 1279 + a. Let -6/5*v**5 - j*v**3 - 8/3*v**4 + 12/5*v**2 + 4/15 + 26/15*v = 0. What is v?
-1, -2/9, 1
Let n be 807/538 - (2 + -1 + -2). Let v(a) be the second derivative of 0*a**2 + 1/4*a**5 + n*a**4 + a + 15/2*a**3 + 0. Factor v(x).
5*x*(x + 3)**2
Determine o, given that -18*o**5 + 108716 + 56*o**4 - 148*o**3 + 124*o**4 - 91*o**2 - 108752 - 53*o**2 + 166*o = 0.
-1, 1/3, 2/3, 1, 9
Let a(r) = -r**3 - 45*r**2 - 434*r + 2. Let f be a(-31). Factor 0 - 3/5*j**f + 3/5*j.
-3*j*(j - 1)/5
Let f = 17087/3666 - -7/1222. Suppose f*b**3 + 56*b + 40/3 + 34*b**2 = 0. What is b?
-5, -2, -2/7
Let p(c) be the first derivative of -c**3 - 1098*c**2 - 401868*c + 193. Factor p(u).
-3*(u + 366)**2
Let i be (-12)/27 - 5/(-126)*-6206. Let z = i - -247. Suppose z*s**2 + 162/7 + 36/7*s = 0. Calculate s.
-9
Factor -86*r - 2*r + 1015 + 37*r - 58*r - 89*r - r**2.
-(r - 5)*(r + 203)
Let w be 80605/(-1645) - 51/(-1). Factor 75/2 + 9/2*l**w + 114*l.
3*(l + 25)*(3*l + 1)/2
Let h(w) be the second derivative of -w**6/540 + 11*w**5/180 - 2*w**4/3 - 149*w**3/6 + 77*w. Let i(l) be the second derivative of h(l). Factor i(z).
-2*(z - 8)*(z - 3)/3
Let q(g) = g**2 - 17. Let y(z) = 7*z**2 - 160*z + 214. Let n(j) = 6*q(j) - y(j). Determine k so that n(k) = 0.
2, 158
Let j(m) = 2*m**2 - 72*m - m**2 - 7 + 37*m + 3 + 34*m. Let z(v) = -20*v**2 - 25*v + 225. Let x(l) = 25*j(l) + z(l). Suppose x(q) = 0. Calculate q.
5
Let d(c) be the first derivative of -c**3/3 + 39*c**2 - 1521*c + 2812. Factor d(f).
-(f - 39)**2
Let j(g) = g**3 + 90*g**2 - 96*g - 455. Let i be j(-91). Let m(a) be the first derivative of 9 - 2/27*a**3 + i*a**2 + 8/9*a. Factor m(o).
-2*(o - 2)*(o + 2)/9
Let r = 10792/68965 + -14/5305. Let -3034/13*m + 6724/13 - 160/13*m**2 - r*m**3 = 0. What is m?
-41, 2
Let x(i) be the first derivative of -i**5/25 - 7*i**4/10 - 44*i**3/15 - 4*i**2 - 1278. Let x(g) = 0. What is g?
-10, -2, 0
Let g(h) = h**4 - 3*h**3 - 2*h**2 + h + 1. Let i(u) = 4*u**4 + 23*u**3 - 83*u**2 + 41*u + 5. Let k(j) = 10*g(j) - 2*i(j). Let k(q) = 0. Calculate q.
0, 1, 36
Let y be ((-172)/(-12))/((-2)/5988*-2). Factor 3*g**2 - 21460*g**4 - 18*g + 18*g**2 + y*g**4.
-3*g*(g - 2)*(g - 1)*(g + 3)
Let i(b) be the second derivative of 17/3*b**3 - 7/6*b**4 - 2 - 130*b - 9*b**2 - 1/10*b**5. Determine f, given that i(f) = 0.
-9, 1
Let s be (-8)/(-14) - 3850/1078 - (-34)/16*2. Let -s*j**3 + 0*j - 1/4*j**5 - j**4 + 0 - 1/2*j**2 = 0. What is j?
-2, -1, 0
Let t(d) = -3*d**3 + 948*d**2 + 1867*d + 930. Let v(h) = 23*h**3 - 6642*h**2 - 13068*h - 6508. Let p(r) = 30*t(r) + 4*v(r). Let p(y) = 0. What is y?
-934, -1
Find x such that -940/13*x + 118/13*x**2 - 32/13 = 0.
-2/59, 8
Let f(w) be the second derivative of 0 + 1/10*w**6 + 3/20*w**5 + 0*w**2 - 200*w - 9/2*w**3 - 9/4*w**4. Let f(q) = 0. What is q?
-3, -1, 0, 3
Solve 8 + 2*z**5 - 10*z**2 - 2*z**3 - 8*z**3 - 81146*z**4 + 8*z + 81148*z**4 = 0 for z.
-2, -1, 1, 2
Suppose -2*o - 4*f + 4 = 0, -o - 3*f = -0*f - 4. Let h be 1 + o - 11/(-11). Let h - 5/2*l**2 + l = 0. What is l?
0, 2/5
What is x in -215 - x**2 + 2*x**2 - 579*x + 2*x**2 + 215 = 0?
0, 193
Let s(j) be the first derivative of -3*j**5/5 + 33*j**4/2 - 140*j**3 + 327*j**2 - 297*j - 1335. Let s(u) = 0. Calculate u.
1, 9, 11
Suppose 4*v + 5*z + 5 = -12, -3*v = z - 1. Let a = 33 - 31. Factor -47*g**a - g**3 + 10*g - 10*g - g**4 + 53*g**v.
-g**2*(g - 2)*(g + 3)
Let y = -7/162 - -527/4698. Let z = y - -222/145. Factor -6*a**2 + 9/5*a**3 + 28/5*a - z.
(a - 2)*(3*a - 2)**2/5
Factor 22179461*m**3 + 3*m**2 + m**2 - 22179457*m**3 - 48*m.
4*m*(m - 3)*(m + 4)
Let o be ((-1)/1)/(3/(-12) - 0/23). Let f(k) be the second derivative of -1/24*k**6 - 1/4*k**5 - 37*k - 25/48*k**o - 5/12*k**3 + 0*k**2 + 0. Factor f(u).
-5*u*(u + 1)**2*(u + 2)/4
Let v(g) be the first derivative of g**7/210 + g**6/6 - 7*g**5/20 + 5*g**2 + 12*g - 210. Let o(s) be the second derivative of v(s). Find y such that o(y) = 0.
-21, 0, 1
Let q be -5 + 8 - (0 - 1)/1. Determine p, given that 144*p + 24*p**3 + 28*p**3 + q*p**4 + 1609*p**2 - 1417*p**2 = 0.
-6, -1, 0
Let k(h) be the third derivative of 3*h**7/385 - 19*h**6/330 + 14*h**5/165 + h**4/6 - 7*h**3/11 + 2*h**2 + h + 2. Solve k(q) = 0 for q.
-7/9, 1, 3
Let t(q) = 4*q**3 + 26*q**2 - 340*q - 2109. Let y be t(-6). Let 281216/7 - 2/7*g**y - 16224/7*g + 312/7*g**2 = 0. Calculate g.
52
Let 115 + 34 - 200*g - 31 + 8*g**3 + 10*g**2 - g**4 + 96 + 161 = 0. What is g?
-5, 3, 5
Let d(u) = -6*u**2 + 247*u + 273. Let a(n) = -3*n**2 + 124*
|
{
"pile_set_name": "DM Mathematics"
}
|
4 = 5*v. Let q(r) = r - 2. Determine s*p(m) + v*q(m).
m
Let k(x) = -299*x**3 - 6*x**2 + 6. Let r(a) = -a**3 + a**2 - 1. Determine -k(p) - 6*r(p).
305*p**3
Let i be (2 + 1)/(15/10). Suppose -4 = 6*t + i. Let w(h) = 2*h - 4. Let m(r) = 1. Determine t*w(u) - 4*m(u).
-2*u
Let w(r) be the third derivative of 1/6*r**3 - 9*r**2 + 0*r + 0. Let j(h) be the second derivative of h**5/20 - h**2 + h. What is 2*j(v) + 4*w(v)?
2*v**3
Let n = -179 - -180. Let d(o) = 5*o**2 - 3*o + 4. Suppose -t = 2*t - 9. Let b(r) = -r**2 + r - 1. Determine n*d(v) + t*b(v).
2*v**2 + 1
Let g(o) = -2*o - 5. Suppose -3*m - 2*b = 0, -5*b = -2*m - 0*b + 19. Suppose -m*l - 10 + 0 = 0. Let s(f) = 2*f + 4. Give l*g(h) - 6*s(h).
-2*h + 1
Let k(p) = -1. Let l(n) = -2. Let f(q) = -5*k(q) + 3*l(q). Let i(t) = 2*t - 3. Let j(o) = -o - 2. Let y be j(-3). Give y*f(h) - i(h).
-2*h + 2
Let x(p) = -3*p**3 + p**2 + 5*p - 13. Let a(q) = -6*q**3 + 2*q**2 + 9*q - 24. What is -3*a(u) + 5*x(u)?
3*u**3 - u**2 - 2*u + 7
Let h be 3*(-10)/(-15) + 0. Let u(d) = -3*d**2 + 2*d - 3. Let k(y) = -12*y**2 + 9*y - 13. Give h*k(x) - 9*u(x).
3*x**2 + 1
Let k(a) = 3*a**2 - 69*a - 4. Let l(r) = -8*r**2 + 208*r + 10. Calculate -11*k(h) - 4*l(h).
-h**2 - 73*h + 4
Let p(s) = -6*s + 178. Let b(i) = -i + 4. What is 10*b(a) - 2*p(a)?
2*a - 316
Suppose 5*a - 39 = -44. Let x(l) = l**2 + l. Let u(k) = 5*k**2 + 5*k**2 + 6*k + 0*k. Determine a*u(z) + 6*x(z).
-4*z**2
Suppose 20 = 2*l + 3*l. Let v(j) = 3. Let o(d) = -d + 17. Let p(z) = -o(z) + 6*v(z). Let n(a) = -a - 4. Let s be (-1)/(2/(-1 - 1)). Calculate l*p(h) + s*n(h).
3*h
Let i(s) = -22*s**3 - 14*s**2 + 71*s - 8. Let h(u) = 8*u**3 + 5*u**2 - 24*u + 3. Calculate 8*h(v) + 3*i(v).
-2*v**3 - 2*v**2 + 21*v
Let a(c) = -5*c + 6. Let k(l) = -6*l + 7. Let z(o) = -o**2 - 14*o - 7. Suppose -d + 2*d + 27 = -2*q, -4*d = -4. Let m be z(q). Determine m*a(j) + 6*k(j).
-j
Let x(p) = -p**2 + 2. Let g(a) = 3*a**2 - 4. Let r(c) = -c**2 + 9*c - 21. Let m be r(6). Calculate m*g(f) - 7*x(f).
-2*f**2 - 2
Let i(b) = -15*b + 15. Let h(n) = 2*n - 2. Let d(f) = -25*h(f) - 3*i(f). Suppose 3*p - 2*p + 7 = 4*a, a - 13 = 4*p. Let x(t) = -2*t + 2. Give p*d(m) + 7*x(m).
m - 1
Let o(y) = y**3 + y**2. Suppose 4*q = -2*a - a + 14, 3*q - 21 = 3*a. Let b(z) = -3 + 2 - 3*z**2 - 3*z**3 - 1. What is a*o(k) - b(k)?
k**3 + k**2 + 2
Let o(l) = 1. Let v(h) = -8*h - 4. Let n = 178 + -177. What is n*v(q) + 4*o(q)?
-8*q
Let v(j) = j**2 + 4*j - 4. Suppose 4*q - 32 = -48. Let b(h) be the first derivative of h**3/3 + 3*h**2/2 - 3*h + 9. Calculate q*b(k) + 3*v(k).
-k**2
Let o(w) = 2*w - 3. Let p(d) = 2*d - 4. Let j be 30/25*60/9. Let s be (j/6)/(22/(-33)). Give s*p(x) + 3*o(x).
2*x - 1
Let l(j) = -2*j**2 + 26*j + 6. Let w(x) = x**2 - 13*x - 3. Give 4*l(k) + 9*w(k).
k**2 - 13*k - 3
Let q(b) = 3*b**2 + 3*b + 64. Let t(c) = -14*c**2 - 13*c - 255. Give -18*q(d) - 4*t(d).
2*d**2 - 2*d - 132
Let v(u) = u**3 + 11*u**2 + 4*u + 2. Let a(j) = 5*j**3 + 44*j**2 + 18*j + 9. What is 4*a(l) - 18*v(l)?
2*l**3 - 22*l**2
Let q(r) = -2*r - 6. Suppose -3*u = 2 + 1. Let g = 2 - u. Let v(t) be the third derivative of -t**4/24 - 5*t**3/6 + 2*t**2 - 17*t. Give g*q(c) - 4*v(c).
-2*c + 2
Let s = -29 + -9. Let p = s + 27. Let z(f) = 5*f**2 + 10*f + 11. Let j(w) = -w**2 - 2*w - 2. Give p*j(x) - 2*z(x).
x**2 + 2*x
Let h(n) = -n. Let p(t) = -t**2 - 4*t. Let g = 479 + -493. Determine g*h(v) + 2*p(v).
-2*v**2 + 6*v
Let k(x) = x. Let w = 282 - 276. Let j(s) = 4*s. Give w*j(b) - 21*k(b).
3*b
Let h(d) = d + 3. Let q(g) = -3*g + 20. Determine -4*h(r) + q(r).
-7*r + 8
Let i(z) = -z**2 - z. Let q(s) = 3*s - 32. Let r be q(-7). Let g = r + 47. Let c(a) = 5*a**2 + 7*a - 2. What is g*i(v) - c(v)?
v**2 - v + 2
Let h(m) = -8215*m**2. Let a(b) = 4*b**2. Calculate 6360*a(f) + 3*h(f).
795*f**2
Let o(f) = -2*f. Let w(s) = -7*s + 127. Determine 3*o(h) - w(h).
h - 127
Let r(v) = -7*v - 8. Let h(t) = 12*t + 15. Give -4*h(y) - 7*r(y).
y - 4
Let q(w) = w**3 - 17*w**2 + 2*w + 2. Let r(d) = -2*d**3 + 18*d**2 - 2*d - 3. Calculate 6*q(f) + 4*r(f).
-2*f**3 - 30*f**2 + 4*f
Let m(r) = 249*r - 496*r + 244*r + 3. Let c(d) = -4*d + 3. Calculate -4*c(t) + 5*m(t).
t + 3
Let c(q) = 4*q + 334. Let x(r) = 5*r + 336. Determine -7*c(t) + 6*x(t).
2*t - 322
Suppose 0 = -r - 2*r + 15. Let u(z) be the third derivative of -z**6/60 - z**5/10 + z**4/12 + 121*z**2. Let p(y) = 2*y**3 + 5*y**2 - 2*y. Give r*u(f) + 6*p(f).
2*f**3 - 2*f
Suppose 9*n = 13 + 68. Let x(g) = 5*g**2 - 2*g. Let r(o) = -21*o**2 + 8*o - 1. Determine n*x(m) + 2*r(m).
3*m**2 - 2*m - 2
Let t be 3 + (1 - 1 - -1). Suppose 5 = -24*g + 29*g. Let c(h) = 6*h**3 - 2*h - 4. Let z(u) = -u**3 + u + 1. Determine g*c(j) + t*z(j).
2*j**3 + 2*j
Let n(o) be the third derivative of o**4/12 + o**3/2 + 27*o**2. Let x(f) = -13*f - 17. Calculate 34*n(k) + 6*x(k).
-10*k
Let c(v) = -v + 1. Let n(m) = -11*m + 2. Suppose -583*t + 573*t - 10 = 0. What is t*n(z) + 2*c(z)?
9*z
Let m(c) be the first derivative of -5*c**4 + 22*c**3/3 - 22*c - 220. Let k(g) = g**3 - g**2 + 1. Give 88*k(t) + 4*m(t).
8*t**3
Let u(q) = -q + 868. Let w(v) = 217. Give -2*u(t) + 9*w(t).
2*t + 217
Let g(j) = 3*j - 5. Let t(i) = 4*i - 29. Let m be (30/(-12))/((-1)/(-2)). Let d(q) = -2 - 12 - 5 + 3*q. Let v(w) = m*t(w) + 8*d(w). Give 7*g(p) - 5*v(p).
p
Let y(z) = -4*z**3 - 3*z**2 + 2*z - 1. Let s(h) = -17*h**3 - 13*h**2 + 9*h - 5. Let m(d) = 2*d**2 - 75*d - 40. Let j be m(38). What is j*s(w) + 9*y(w)?
-2*w**3 - w**2 + 1
Let t(d) = d**2 + d + 1. Let w = 100 - 90. Suppose 11*s + 1 = w*s. Let i(x) = -x**2 - x - 2. What is s*i(p) - 2*t(p)?
-p**2 - p
Let h(t) = -82*t**3 + 5*t - 2. Let w(n) = 41*n**3 - 3*n + 1. Calculate 3*h(z) + 5*w(z).
-41*z**3 - 1
Let f(j) = -1. Let m(h) = 131*h + 6. Determine 6*f(n) + m(n).
131*n
Let d(g) = -3*g**3 - 4*g**2 + g + 3. Suppose 0 = v + 48 - 50. Let n(y) = y**v + 4*y**3 - 4*y**3 + y**3 - 1. Determine -d(i) - 4*n(i).
-i**3 - i + 1
Let o(s) = 28*s - 79*s - 2 + 27*s + 23*s. Let h(g) = g. Let d(t) = -t**2 + 5*t + 1. Let w be d(5). What is w*o(j) + 4*h(j)?
3*j - 2
Let d(l) = -16*l**2 + 11*l + 2. Let j(f) = -24*f**2 + 18*f + 3. What is -8*d(a) + 5*j(a)?
8*a**2 + 2*a - 1
Let c(q) = -3*q**2 + 29*q + 14. Let r(p) = -6*p**2 - 3*p - 5. Let n(y) = -5*y**2 - 4*y - 5. Let u(h) = 7*n(h) - 6*r(h). Determine -6*c(f) - 17*u(f).
f**2 - 4*f + 1
Let f(s) = -s**2 - s + 1. Let w = 40 - 22. Suppose 3*a + 3*a - w = 0. Let h(l) = -2 - 2 - 4*l**2 + 8 + 0 - a*l. What is -5*f(v) + h(v)?
v**2 + 2*v - 1
Let q(v) = 15*v**2 + 3. Let i(c) = 14*c**2 + c + 4. Give 3*i(n) - 4*q(n).
-18*n**2 + 3*n
Let m(a) = 5*a**2 - 32*a + 2. Let i(r) = 2*r**2 - 11*r + 1. Give -8*i(w) + 3*m(w).
-w**2 - 8*w - 2
Let c(j) = -j**3 - 5*j**2 + 26*j + 12. Let u be c(-8). Let m(z) = z**2 - z + 1. Let t(y) = 8*y**2 - 4*y + 3. Determine u*m(b) + t(b).
4*b**2 - 1
Let w(r) = 8*r**2 + 12*r - 4. Let y(p) = p**2 + p + 1. Determine -w(x) + 12*y(x).
4*x**2 + 16
Suppose 3*u + u = -20. Let o(j) = -4*j - 37*j**2 + 56*j**2 + 2*j**3 + 9*j - j**3 - 22*j**2. Let k(n) = -n**3 + 2*n**2 - 3*n. Give u*k(w) - 3*o(w).
2*w**3 - w**2
Let v(z) = -z**3 - 3*z**2 - 4*z - 3. Let d be v(-2). Let m(q) = -13*q - 1. Let f(c) = -c. Let r(j) = 8*f(j) - m(j). Let g(o) = -o. Give d*r(s) + 6*g(s).
-s + 1
Let n(u) = -u - 2. Let g(j) = -3 - 9*j + 17*j + 2 - 10*j - 2. Determine -4*g(i) + 5*n(i).
3*i + 2
Let s(l) = 3*l + 27. Let g(t) = -4*t - 26. Determine 5*g(y) + 6*s(y).
-2*y + 32
Let u(h) = -119*h**2 + 33*h - 25. Let c(m) = 24*m**2 - 6*m + 5. Calculate -11*c(a) - 2*u(a).
-26*a**2 - 5
Let j(r) = 8*r + 3. Suppose -28*h - 292 - 16 = 0. Let l(z) = -23*z - 9. Calculate h*j(w) - 4*l(w).
4*w + 3
Let v(t) = 2*t - 6. Let y(u) = -1. Suppose 1 - 21 = -5*q. Let j = 97 + -95. Let d = j - 3. Calculate d*v(h) + q*y(h).
-2*h + 2
Let u(c) = -16*c - 5. Let w(y) = -3*y - 1. Let r(m) = 2*u(m) - 11*w(m). Let x(a) = 2*a**2 - 6*a + 2. Determine 6*r(t) + x(t).
2*t**2 + 8
Suppose 5 = 3*w - 8*w. Let v(r) = r - 2. Let c(z) be the third derivative of -z**3/6 + 6*z**2 + 2. What is w*v(a) + 5*c(a)?
-a - 3
Let k(u) = -237*u + 7. Let b(y) = -238*y + 8. Determine -6*b(m) + 7*k(m).
-231*m + 1
Let t(l) = -390*l - 2. Let n(q) = 1562*q + 9. Give 2*n(w) + 9*t(w).
-386*w
Let x be -4 + (3/(-12))/((-11)/88). Let l(s) = 10*s - 26. Let u(p) = 2*p - 5. What is x*l(g) + 11*u(g)?
2*g - 3
Let s be -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 - 4*z**2 - 2*z**2 - 3*z**2 as d + p*z**2 + y*z and give d.
1
Express (1 - 3 + 3 + (2 - 9 + 2)*(-2 + 1 + 3))*(61*m - 2 - 101*m + 64*m) as r + i*m and give i.
-216
Express 62*r - 49 + 27 + 22 in the form m*r + p and give m.
62
Rearrange 318*q**3 - 316*q**3 + 6*q - 4*q + 16*q**2 + 24*q**2 to the form j*q + c + v*q**2 + k*q**3 and give v.
40
Express 4*v**2 - 8*v**2 + 3*v**2 - 2*v**2 + 3*v**2 - 2*v**2 + (-v - 1 + 1)*(-3*v - 3*v + 4*v) + (-1 + v + 1)*(-6*v - v + 2*v) as n*v**2 + o*v + p and give n.
-5
Rearrange -5*n - 3*n**4 + 5*n + 14*n**4 - 8*n**2 + 8*n**2 + (-3*n**2 - n**4 + 3*n**2)*(-1 + 5 - 5) to l + g*n + u*n**2 + w*n**4 + q*n**3 and give w.
12
Rearrange -145*f**2 - 32*f**2 + 1207*f**2 to the form a*f + j + o*f**2 and give o.
1030
Express 14*m + 13*m - 36*m + 14*m + 14 - 4 as r*m + g and give g.
10
Rearrange 64*z - 130*z**2 - 137*z**2 + 266*z**2 to t*z + b*z**2 + l and give t.
64
Rearrange -15169*h**3 + 15195*h**3 + 5*h**2 - 4*h + 4*h to x*h + q + d*h**3 + o*h**2 and give o.
5
Express 440*n**4 - 430*n**4 + n + 2*n**2 + 0*n + n**3 + 0*n**3 + 2*n as o*n**2 + v*n**3 + a*n**4 + b + k*n and give v.
1
Rearrange 0*y**2 + y**2 - 17*y + 23*y - 33*y to the form i*y + g + p*y**2 and give p.
1
Express -5*u**2 - 31*u**4 + 2 - 42*u**4 + 72*u**4 - u in the form a + v*u**4 + h*u**2 + x*u**3 + z*u and give z.
-1
Express 2*f**4 + 13*f**3 - 11*f - 2*f**2 + 18 - 14 - 15*f**3 in the form r*f + y*f**3 + t*f**2 + o*f**4 + l and give y.
-2
Express 2*l**4 + 48*l**2 + 114 - 119 - 48*l**2 - l in the form c*l**4 + j + s*l**3 + y*l + k*l**2 and give c.
2
Express (-418 + 925 - 239)*(-4*p**2 + 4*p**2 - p**2) + p**2 - 2 - 2 + 3 in the form s*p + o + q*p**2 and give q.
-267
Express (o**2 - o**2 + 4*o**3)*(2*o - 3*o - 3*o)*(-7 - 1 - 6) as g + j*o**3 + f*o**2 + v*o + c*o**4 and give c.
224
Rearrange -399 + 7*q**2 - 401 + 796 - 4*q**2 to the form n*q**2 + d + t*q and give n.
3
Rearrange 93*c**2 - 46*c**2 + 52*c**2 to g*c + f + k*c**2 and give k.
99
Rearrange 52*j + 108*j - 3 - 55*j to q*j + b and give b.
-3
Rearrange (65 + 51 - 111 + 46)*(-12*b + 89 - 89) to the form p*b + t and give p.
-612
Express (-3*w + 6*w - w)*(0 - 3 + 2)*(-154 + 27 + 6) as n + a*w and give a.
242
Rearrange 1829*n + 560*n - 555*n + (-n + 0*n + 2*n)*(3 - 1 - 3) to u + y*n and give y.
1833
Rearrange -r**4 - 81 + 2*r**4 + 2*r**3 - 2*r**2 + 164 - 90 to the form n*r**4 + c + f*r**3 + u*r + k*r**2 and give c.
-7
Rearrange (0*w**4 + 3*w**4 - 2*w**4)*(15 - 6 - 5 + (4 - 4 + 1)*(5 - 4 - 3) + 0 + 0 + 1 - 6 - 6 + 2) to the form q*w**4 + i*w**2 + l*w + m*w**3 + f and give i.
0
Rearrange (-3*l**2 - 4*l + 4*l)*(-20*l + 12*l + 25*l) + (-4 - 5*l + 4)*(-3*l**2 + 10*l**2 - 3*l**2) to the form x*l**3 + t*l + u*l**2 + a and give x.
-71
Rearrange q + 5*q**3 + 20 - 17 - 3*q**3 - 4*q**3 - 31*q**4 to the form p*q + v*q**3 + f + b*q**4 + m*q**2 and give v.
-2
Express 8 + 13*t + 6 - 3*t**3 - 20*t in the form y*t**3 + f*t + z + b*t**2 and give y.
-3
Rearrange (-1 + 0 - 1)*((0 - 4 + 3)*(-25 + 25 - h) - 3*h - 8 + 8 + 2*h - 3*h - h) to the form i*h + v and give i.
8
Rearrange (74 - 136 - 302 - 342)*(a**2 - 1 + 1) to y*a**2 + x*a + m and give y.
-706
Express (-d + 2*d + 0*d - 7*d + 2*d + 2*d + (0 + d + 0)*(3 + 0 - 2))*(-68*d - 1170 + 1170) in the form u*d + n + k*d**2 and give k.
68
Rearrange 5*i + 5 - 12*i + 4*i + 9*i - 27 to the form h + y*i and give y.
6
Rearrange 2*k**4 - 5*k + 3*k - 144*k**3 - 9*k**2 - 2 + 141*k**3 to u*k + q*k**4 + g + a*k**3 + x*k**2 and give g.
-2
Express -2*a**2 + 2*a**3 - 441*a**4 + 887*a**4 - 1 - 467*a**4 in the form o*a**2 + d*a**3 + r*a**4 + z + s*a and give z.
-1
Express 88 - 88 + 41*l**2 + 3*l**2 - 2*l**2 + 3*l**2 + l**2 + 1 - 1 + (-2 + 2 + l)*(-3*l - l + 2*l) - 4*l**2 + 6*l - 6*l as z*l**2 + g*l + n and give z.
40
Rearrange 10*z + 31*z - 1 - 13*z to the form v*z + q and give q.
-1
Rearrange 319*l + 3 + 610*l + 257*l - 3 to the form p*l + q and give p.
1186
Rearrange -92*n**3 - 66*n**3 - 15*n**3 + (-2*n - 2*n + 2*n)*(0*n**2 + n**2 + n**2) + n**3 + n**3 - n**3 to u*n + d*n**3 + p*n**2 + m and give d.
-176
Rearrange (-15423*f - 56*f**3 + 15423*f)*(7*f + 12 - 3 - 8) to z + i*f + h*f**4 + d*f**2 + y*f**3 and give h.
-392
Rearrange -1 - 2*b**3 - 2*b - 3*b**3 - 218*b**4 + 2*b + b**2 + 8*b**3 to the form t*b**3 + r + n*b + y*b**4 + a*b**2 and give r.
-1
Rearrange -298*l**2 + 2308*l**2 - 136*l**2 to the form v + n*l + d*l**2 and give d.
1874
Express (136*w + 158*w - 147*w + 104*w)*(0*w - w + 4 - 5) as c*w**2 + z + k*w and give k.
-251
Rearrange 3923*t**2 + 56 + t**3 - 5*t**3 - 3921*t**2 to s*t**2 + y*t**3 + k*t + b and give b.
56
Rearrange -150*j + 67780 - 67780 to the form i + n*j and give n.
-150
Rearrange u**2 - 2 - 51*u + 24*u + u**3 + 24*u to y + a*u**2 + m*u + d*u**3 and give a.
1
Rearrange 297*v - 234*v + 286*v + 1 + 159*v + 261*v to the form h*v + a and give a.
1
Rearrange (-9567*r**2 + 34750*r - 34750*r - 4449*r**2)*(-2*r**2 + 0*r**2 + 3*r**2) to the form v*r**4 + t*r**3 + f + o*r**2 + y*r and give v.
-14016
Rearrange -5 + 6*u**3 + 2*u**3 - 11389*u**2 + 11390*u**2 to the form d*u**2 + t*u**3 + p + g*u and give t.
8
Express (17 - 19 + 30)*(1 + 1 - 4 - j + j + 4 - 4 + j - 2*j + 0*j - 2 - 2*j + 2 + (-4*j + 4*j + 2*j)*(1 + 3 - 2) + 1 + 2*j - 1) in the form u*j + v and give u.
84
Rearrange -5*b + 19*b + 5*b**3 - 4*b**3 - 1 + 0 to the form v*b + p + y*b**2 + g*b**3 and give p.
-1
Rearrange 2*f**3 - 10911*f + 10908*f + 42*f**2 + 89*f**2 to u*f**2 + p*f**3 + g + y*f and give u.
131
Express 2*v**3 - 10*v**4 + 15*v**2 + 2*v + 2 - 33*v**2 + 20*v**2 in the form i*v**4 + m + w*v + t*v**3 + a*v**2 and give m.
2
Express -528*q**2 - 1 + 513*q**2 - 7 as d + j*q**2 + n*q and give d.
-8
Express 15*l**2 + 79*l**2 + 96*l**2 + 75*l**2 - 52*l**2 as o*l**2 + w + t*l and give o.
213
Express (19 - 50 + 4*j + 20 + (-5 - 1 + 4)*(1 - 1 - 2*j) + 4*j + 0*j - 3*j)*(3*j - 5*j - j) in the form l + v*j + w*j**2 and give v.
33
Rearrange (-3*h + 4*h + 0*h)*(7 + 8 - 4) + 2334 - 58*h - 2334 to the form x + f*h and give f.
-47
Rearrange (-1473 - 1356 + 2996)*(v - 1 + 1) to the form s + z*v and give z.
167
Rearrange 2 - 1 + 116*n + 6 - 5 to m + y*n and give m.
2
Express 4*n - 88 + 46 - 168*n**4 + 39 - 4*n + n**3 in the form x*n**2 + q*n + h*n**3 + t*n**4 + b and give t.
-168
Express -a**2 - 1 - a + 21*a**3 + 38*a**3 + 76*a**3 + 28*a**3 + 2*a**2 in the form l + v*a + m*a**2 + d*a**3 and give v.
-1
Express 2*d**2 - 6*d - 3*d**3 - 117 + 60 + 2*d + 56 as i*d + z*d**2 + u + w*d**3 and give z.
2
Express -2*x**2 + x**2 + 3*x**2 + (-2*x + 0 + 0)*(2*x - 4*x + 4*x) + 1414*x - 18*x**2 - 1414*x as l*x**2 + p*x + u and give l.
-20
Express (1 - 3 + 4 + (3 + 2 - 3)*(-1 - 1 + 0))*(2*c**2 - c**2 - 8*c**2) in the form k*c + v*c**2 + y and give v.
14
Express 402*w**2 + 120*w**2 + w**2 in the form s*w + j*w**2 + p and give j.
523
Express y**2 - 2*y**2 + y + 3*y**2 - 6*y**2 + 6 + 0 as w*y**2 + i*y + x and give x.
6
Express (3 - 1 - 9*g + 12*g)*(5*g**3 - 2*g**3 - 2*g**3) - g**2 - 3*g**4 + 5*g**4 + 5*g**4 in the form w*g**4 + q*g**2 + y*g**3 + v + j*g and give y.
2
Express (-2 + 2 - 1)*(9*u - 5344 + 5344)*(0*u**2 - u**2 - 2*u**2) in the form v*u**3 + x + p*u + q*u**2 and give v.
27
Express (-3*d - 1 + 3*d + 9*d)*(-2 + 25 - 2)*(-2*d + 2 - d + 4*d) as g*d**2 + r + k*d and give g.
189
Rearrange (17*m - 16*m + 8 + 0)*(0*m**3 - 9*m**3 + 2*m**3) to the form y*m**2 + n*m + u*m**3 + g*m**4 + s and give g.
-7
Express -7*z**2 + z**2 + 2*z**2 + (-3 - 2*z + 3)*(-4 + z + 4) + 1 - 1 + 3*z**2 + 0 + 0 - z**2 in the form i*z**2 + o*z + y and give i.
-4
Express 5 + 7*n**4 + n - 2*n**3 + 2*n**3 - 9*n**4 as d*n**2 + a*n + c*n**3 + f + s*n**4 and give f.
5
Rearrange 0 - 82*d - 5*d**3 + 169*d - 3 - 85*d to the form z*d + g*d**2 + c + m*d**3 and give z.
2
Express -13*v**3 - 8*v**3 - 3*v - 24*v**2 + 25*v**2 as t*v**2 + b*v**3 + o*v + c and give t.
1
Rearrange (0*d**2 - 2*d**2 + 4*d**2)*(-2 + d + 2) + (5 - 5*d - 5)*(-d**2 - d**2 + d**2) to the form w + c*d**3 + o*d**2 + z*d and give c.
7
Express 2*m - 7 - 2*m + m - 65*m**3 - 3*m + 5 - m**2 as q*m**2 + i*m**3 + l + j*m and give l.
-2
Express 13356 + 6*u - 13356 in the form p*u + x and give p.
6
Express -279*w + 550*w + 14*w**2 - 267*w - 2*w**3 in the form z*w**3 + f*w**2 + o*w + p and give o.
4
Rearrange 2*w**2 + 2*w**3 + 29*w - 5*w**
|
{
"pile_set_name": "DM Mathematics"
}
|
is 1115 to the power of 1/3, to the nearest integer?
10
What is the third root of 7309 to the nearest integer?
19
What is 411 to the power of 1/2, to the nearest integer?
20
What is the seventh root of 744 to the nearest integer?
3
What is 20728 to the power of 1/3, to the nearest integer?
27
What is the seventh root of 2494 to the nearest integer?
3
What is 9940 to the power of 1/2, to the nearest integer?
100
What is 4621 to the power of 1/2, to the nearest integer?
68
What is the third root of 406 to the nearest integer?
7
What is the cube root of 121885 to the nearest integer?
50
What is the square root of 4914 to the nearest integer?
70
What is the fourth root of 23755 to the nearest integer?
12
What is 4030 to the power of 1/3, to the nearest integer?
16
What is 1531 to the power of 1/9, to the nearest integer?
2
What is 32506 to the power of 1/3, to the nearest integer?
32
What is the cube root of 98384 to the nearest integer?
46
What is 35649 to the power of 1/3, to the nearest integer?
33
What is 7850 to the power of 1/7, to the nearest integer?
4
What is 6489 to the power of 1/2, to the nearest integer?
81
What is the third root of 7822 to the nearest integer?
20
What is the fifth root of 355 to the nearest integer?
3
What is the cube root of 57897 to the nearest integer?
39
What is 82455 to the power of 1/3, to the nearest integer?
44
What is the fourth root of 37491 to the nearest integer?
14
What is the fourth root of 2240 to the nearest integer?
7
What is 4196 to the power of 1/2, to the nearest integer?
65
What is 71650 to the power of 1/2, to the nearest integer?
268
What is the seventh root of 30376 to the nearest integer?
4
What is the fourth root of 2854 to the nearest integer?
7
What is 592 to the power of 1/2, to the nearest integer?
24
What is 1167 to the power of 1/6, to the nearest integer?
3
What is 3278 to the power of 1/7, to the nearest integer?
3
What is the fourth root of 5861 to the nearest integer?
9
What is the cube root of 27018 to the nearest integer?
30
What is 1372 to the power of 1/2, to the nearest integer?
37
What is the square root of 41 to the nearest integer?
6
What is 53529 to the power of 1/10, to the nearest integer?
3
What is 19191 to the power of 1/3, to the nearest integer?
27
What is 2673 to the power of 1/8, to the nearest integer?
3
What is 642 to the power of 1/2, to the nearest integer?
25
What is 7818 to the power of 1/2, to the nearest integer?
88
What is the square root of 10955 to the nearest integer?
105
What is the cube root of 622 to the nearest integer?
9
What is 1516 to the power of 1/6, to the nearest integer?
3
What is the seventh root of 3886 to the nearest integer?
3
What is the square root of 6379 to the nearest integer?
80
What is the third root of 1607 to the nearest integer?
12
What is the fourth root of 26358 to the nearest integer?
13
What is 65274 to the power of 1/6, to the nearest integer?
6
What is the fourth root of 151196 to the nearest integer?
20
What is 19808 to the power of 1/2, to the nearest integer?
141
What is 1286 to the power of 1/4, to the nearest integer?
6
What is 2606 to the power of 1/7, to the nearest integer?
3
What is the square root of 1275 to the nearest integer?
36
What is 364 to the power of 1/2, to the nearest integer?
19
What is the third root of 4499 to the nearest integer?
17
What is the square root of 3429 to the nearest integer?
59
What is 2404 to the power of 1/3, to the nearest integer?
13
What is 566 to the power of 1/2, to the nearest integer?
24
What is 10050 to the power of 1/3, to the nearest integer?
22
What is the square root of 54 to the nearest integer?
7
What is 414 to the power of 1/2, to the nearest integer?
20
What is the cube root of 27894 to the nearest integer?
30
What is the eighth root of 284 to the nearest integer?
2
What is 839 to the power of 1/3, to the nearest integer?
9
What is the ninth root of 2015 to the nearest integer?
2
What is 706 to the power of 1/6, to the nearest integer?
3
What is 11971 to the power of 1/3, to the nearest integer?
23
What is the third root of 15391 to the nearest integer?
25
What is the cube root of 2986 to the nearest integer?
14
What is the seventh root of 10694 to the nearest integer?
4
What is 6733 to the power of 1/6, to the nearest integer?
4
What is the square root of 1627 to the nearest integer?
40
What is the third root of 16702 to the nearest integer?
26
What is the third root of 4486 to the nearest integer?
16
What is the square root of 195 to the nearest integer?
14
What is the cube root of 3694 to the nearest integer?
15
What is 144 to the power of 1/4, to the nearest integer?
3
What is 3066 to the power of 1/8, to the nearest integer?
3
What is the cube root of 16563 to the nearest integer?
25
What is the cube root of 7220 to the nearest integer?
19
What is the cube root of 1170 to the nearest integer?
11
What is the sixth root of 1593 to the nearest integer?
3
What is 3357 to the power of 1/2, to the nearest integer?
58
What is the eighth root of 11062 to the nearest integer?
3
What is the cube root of 1169 to the nearest integer?
11
What is 5659 to the power of 1/9, to the nearest integer?
3
What is the third root of 815 to the nearest integer?
9
What is the ninth root of 1226 to the nearest integer?
2
What is the eighth root of 23554 to the nearest integer?
4
What is 591 to the power of 1/3, to the nearest integer?
8
What is the third root of 7597 to the nearest integer?
20
What is the square root of 78 to the nearest integer?
9
What is the square root of 84606 to the nearest integer?
291
What is 5806 to the power of 1/6, to the nearest integer?
4
What is 61572 to the power of 1/3, to the nearest integer?
39
What is 18218 to the power of 1/5, to the nearest integer?
7
What is 1120 to the power of 1/7, to the nearest integer?
3
What is the square root of 20630 to the nearest integer?
144
What is 982 to the power of 1/2, to the nearest integer?
31
What is the eighth root of 30142 to the nearest integer?
4
What is the square root of 2946 to the nearest integer?
54
What is the square root of 651 to the nearest integer?
26
What is 7846 to the power of 1/2, to the nearest integer?
89
What is the sixth root of 1553 to the nearest integer?
3
What is 19647 to the power of 1/8, to the nearest integer?
3
What is the square root of 24028 to the nearest integer?
155
What is 6703 to the power of 1/7, to the nearest integer?
4
What is the ninth root of 63 to the nearest integer?
2
What is the fifth root of 7811 to the nearest integer?
6
What is the cube root of 7625 to the nearest integer?
20
What is the fifth root of 26216 to the nearest integer?
8
What is the fourth root of 4835 to the nearest integer?
8
What is the cube root of 33831 to the nearest integer?
32
What is the ninth root of 8753 to the nearest integer?
3
What is the third root of 2204 to the nearest integer?
13
What is the square root of 13708 to the nearest integer?
117
What is 1186 to the power of 1/3, to the nearest integer?
11
What is the sixth root of 2554 to the nearest integer?
4
What is the tenth root of 7024 to the nearest integer?
2
What is the third root of 98160 to the nearest integer?
46
What is 2063 to the power of 1/6, to the nearest integer?
4
What is the sixth root of 8203 to the nearest integer?
4
What is 24946 to the power of 1/2, to the nearest integer?
158
What is the third root of 2366 to the nearest integer?
13
What is the ninth root of 64428 to the nearest integer?
3
What is 12363 to the power of 1/3, to the nearest integer?
23
What is the sixth root of 85651 to the nearest integer?
7
What is the cube root of 375 to the nearest integer?
7
What is 1843 to the power of 1/3, to the nearest integer?
12
What is 38343 to the power of 1/10, to the nearest integer?
3
What is the third root of 24837 to the nearest integer?
29
What is the cube root of 3360 to the nearest integer?
15
What is the third root of 1414 to the nearest integer?
11
What is the sixth root of 5337 to the nearest integer?
4
What is 110518 to the power of 1/3, to the nearest integer?
48
What is the square root of 25856 to the nearest integer?
161
What is the cube root of 7918 to the nearest integer?
20
What is the cube root of 15
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{
"pile_set_name": "DM Mathematics"
}
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et n(m) = 8*k(m) + 8*t(m). Let b(h) = -4*h**2. Determine n(b(z)).
-736*z**2
Let y(w) = -2*w. Let o(v) = -8*v - 3827. Let l(h) = 7*h + 3818. Let c(z) = 6*l(z) + 5*o(z). Determine c(y(m)).
-4*m + 3773
Let g(p) = 80*p + 25. Let r(m) = 13*m + 4. Let s(t) = 4*g(t) - 25*r(t). Let u(n) = 4*n + 1. Let c(f) = 18*f + 6. Let h(b) = 2*c(b) - 12*u(b). What is h(s(v))?
60*v
Let v(u) = 3*u**2. Let x(m) = -353*m + 5. Let g(p) = 28583*p - 404. Let y(i) = 5*g(i) + 404*x(i). What is y(v(n))?
909*n**2
Let w(n) = 119 - 12 + 8987*n - 107. Let a(o) = -2*o. What is w(a(f))?
-17974*f
Let j(u) = -18*u**2 - 490*u. Let c(g) = -674*g. Give c(j(y)).
12132*y**2 + 330260*y
Let k(r) = 209*r + 66. Let j(x) = -47*x - 15. Let c(b) = 22*j(b) + 5*k(b). Let f(h) = h**2 - 6*h**2 + h**2. Determine f(c(o)).
-484*o**2
Let i(q) be the third derivative of 61*q**5/20 - q**3/3 + 6*q**2 + 101*q + 2. Let j(l) = -l. Calculate j(i(z)).
-183*z**2 + 2
Let p(w) = -19*w - 4. Let z(y) = -201*y - 59. Calculate z(p(s)).
3819*s + 745
Let i(y) = -76542*y. Let m(z) = -127*z**2. Give m(i(s)).
-744052076028*s**2
Let x(i) = -36*i**2 - 16*i + 4. Let n(d) = d**2 + 4*d - 1. Let o(l) = -20*n(l) - 5*x(l). Let b(w) = 3*w. Calculate o(b(s)).
1440*s**2
Let u(p) = -4*p**2 - 2*p. Let o(b) be the first derivative of -61*b**2/2 + 5527. Give o(u(q)).
244*q**2 + 122*q
Let i(j) = 12*j**2. Suppose 26 = b + 9. Let l(s) = 3*s**2 - 15*s + 32*s - b*s. Give l(i(c)).
432*c**4
Let f(w) = -17*w**2. Let m(h) be the first derivative of 11 + 1 + 2*h**2 + 2 - 30. What is f(m(t))?
-272*t**2
Let r(u) be the first derivative of 3*u**2/2 + 323. Let p(c) = 2*c**2 + 48. Calculate r(p(y)).
6*y**2 + 144
Let v(u) be the second derivative of -u**4/6 - 43*u**2/2 + 2*u + 16. Let a(f) = 2*f. Determine a(v(d)).
-4*d**2 - 86
Let z(h) = -3*h**2. Let u(r) = 107*r + 1. Let q(g) = 311883*g + 2908. Let y(x) = -q(x) + 2908*u(x). Calculate z(y(w)).
-1585587*w**2
Let i(b) = -6*b - 51. Let m(v) = v + 9. Let t(x) = -6*i(x) - 34*m(x). Let c(o) = -o**2 + 1017*o. Give t(c(a)).
-2*a**2 + 2034*a
Suppose 2*q + 1 = -3*a + 102, 0 = 3*q - 3*a - 129. Let t(y) = -37*y + 51 - 51 - q*y. Let j(i) = -i. What is j(t(u))?
83*u
Let m(h) = 20739*h. Let z(n) = 21184*n**2. Calculate z(m(g)).
9111368067264*g**2
Let f(n) = 292*n. Let s(h) be the first derivative of 0*h**2 + 0*h - 2/3*h**3 - 190. What is f(s(j))?
-584*j**2
Let j(u) = -30*u**2 - 10*u**2 + 32*u**2. Let p(c) be the first derivative of -2*c**3/3 + 5*c - 2. Let f(b) be the first derivative of p(b). Determine j(f(g)).
-128*g**2
Let o(f) = -2 - 7*f + 2. Let s(r) = 6*r**2 + 10. Let i(g) = -7*g**2 - 12. Let a be (6 - 9)/(2/4). Let x(w) = a*s(w) - 5*i(w). Give x(o(j)).
-49*j**2
Let m(s) = -13*s + 2. Let u(x) be the first derivative of -x**3/2 + 35*x + 97. Let a(j) be the first derivative of u(j). Calculate a(m(f)).
39*f - 6
Let f(r) = 4852146*r. Let y(b) = 16*b**2. What is f(y(g))?
77634336*g**2
Let i(j) = 13*j. Suppose -164*k + 161*k + 6 = 0. Let g(d) = -44*d**2 + 28*d**2 + 12*d**k. Calculate i(g(s)).
-52*s**2
Let n(q) = -q. Let t(r) = 17*r + 3292. Let w(u) = -6*u - 1096. Let a(g) = -3*t(g) - 8*w(g). Calculate n(a(x)).
3*x + 1108
Let j(z) = z**2. Let v(p) be the third derivative of 0*p - 17 + 1/6*p**3 + p**2 + 5/24*p**4. What is j(v(r))?
25*r**2 + 10*r + 1
Suppose 5*y + y - 30 = 0. Let r(j) = -7*j - y*j + 3*j + 8*j. Let o(s) = 1. Let b(z) = 19*z - 57. Let x(g) = b(g) + 57*o(g). Calculate x(r(h)).
-19*h
Let p(j) = -36*j - 46*j - 27*j + 108*j. Let h(k) = 135*k - 6. Give h(p(s)).
-135*s - 6
Let r(f) = -5481 - 4*f + 5481. Let p(u) = -3*u - 11*u + u. Let i(t) = 2*p(t) - 7*r(t). Let g(n) = 5*n. Give g(i(l)).
10*l
Let s = 2 + 18. Let u be (1 + s/(-8))/((-1)/6). Let l(w) = -7*w - 6*w - u*w + 3*w. Let f(o) = -2*o. What is f(l(d))?
38*d
Let r(y) = 244*y**2 - 30*y. Let c(a) = 245*a**2. Determine r(c(w)).
14646100*w**4 - 7350*w**2
Let v(h) = -65*h**2 - 9*h. Let q(j) = -152*j**2 - 21*j. Let b(w) = -3*q(w) + 7*v(w). Let k(l) = 5992*l**2. Calculate k(b(n)).
5992*n**4
Let g(i) = 38*i - 1. Let v(h) = -368087*h + 2. Calculate v(g(p)).
-13987306*p + 368089
Let s(a) = 24*a**2 - 12. Let g(l) be the third derivative of l**5/20 - 654*l**2. What is s(g(i))?
216*i**4 - 12
Let r(z) = 0*z + 1 - z - 5 + 6. Let d(q) = 27*q - 9*q - 5 - 15*q. Let c(n) = -2*d(n) - 5*r(n). Let f(u) = -8*u. Give c(f(p)).
8*p
Let s(r) = 38*r**2. Let d(p) = -2016*p + 242. Let g be d(-9). Let z(f) = 18388*f**2 + 0 - g*f**2 + 0. Give z(s(j)).
2888*j**4
Let y = 7 + 1. Let n(l) = -4*l + 7*l + y*l. Let a(k) = 5 - 33 + 65 - 2*k - 37. Give a(n(g)).
-22*g
Let t(u) = 31*u - 8. Let j(w) = 54*w - 14. Let b(x) = -4*j(x) + 7*t(x). Let a(h) = 776*h**2. Let n(o) = -o**2. Let p(v) = -a(v) - 388*n(v). Give p(b(g)).
-388*g**2
Let r(v) = 2*v**2. Let g(l) = -1002*l**2 - 295*l - 2. Calculate g(r(a)).
-4008*a**4 - 590*a**2 - 2
Let o(a) = -a. Let g(r) = 456*r**2 - 6*r - 5. Let z(w) = w**2 - w - 1. Let f(t) = -g(t) + 6*z(t). What is f(o(x))?
-450*x**2 - 1
Let s(n) = 34*n. Let u(i) = -62*i - 34. Let f(d) = 30*d + 15. Let z(c) = 9*f(c) + 4*u(c). What is s(z(k))?
748*k - 34
Let j(a) = 19*a + 119. Let l(x) = 2*x**2 + 327*x. Calculate j(l(c)).
38*c**2 + 6213*c + 119
Let c(s) = -s**2. Let v(b) = 114*b + 629*b - 273*b - 40*b + 572*b. Determine v(c(r)).
-1002*r**2
Let t(d) = -14*d - 1. Let g(c) be the third derivative of 0 + 0*c**3 + 206*c**2 + 0*c - 1/6*c**4. Determine g(t(h)).
56*h + 4
Let m(k) = 29*k**2. Let a = 818 + -816. Let x(z) = -a*z**2 - 5 + 2 + 8 - 5. Calculate x(m(g)).
-1682*g**4
Let m(n) = -13*n**2. Let r = -30 + 32. Suppose 5*y - 130 = -w, 7*y - r*y - 5*w - 100 = 0. Let p(o) = o**2 + y*o - 14*o - 11*o. Determine p(m(t)).
169*t**4
Let j(y) = 9*y + 5. Let s(m) = -4*m - 2. Suppose -7 = 5*t - 17. Let b(w) = t*j(w) + 5*s(w). Let d(q) be the second derivative of q**3 - 18*q. Calculate b(d(v)).
-12*v
Let t(c) = 103*c**2 - 28. Let w(z) = -243*z**2 + 66. Let n(b) = 33*t(b) + 14*w(b). Let u(o) = -17*o**2 - 6. What is u(n(m))?
-153*m**4 - 6
Let x(h) be the second derivative of -h**3/6 - 3*h. Let o(q) be the first derivative of 5*q**3 - q**2/2 + 146. Calculate x(o(y)).
-15*y**2 + y
Let c(x) = -x. Let o(f) be the second derivative of 0*f**2 - 1/3*f**4 + 0 - 21*f - 4/3*f**3. What is o(c(v))?
-4*v**2 + 8*v
Let o(v) = -5 + 15*v**2 + 5. Let u(x) be the third derivative of -x**5/5 + 60*x**2 - 33. What is o(u(q))?
2160*q**4
Let s(m) = -3*m**2 + 198. Suppose -79*k + 82*k = -z + 1747, -k - 4*z + 575 = 0. Let g(n) = k*n + 583*n - 1167*n. Determine s(g(w)).
-3*w**2 + 198
Let w(y) = 1782*y + 53. Let v(m) = 2*m**2 + 6. What is w(v(d))?
3564*d**2 + 10745
Let n(v) = -49893*v. Let m(c) = 789*c. Give m(n(r)).
-39365577*r
Let d(t) = 3*t. Let v(x) = 29*x + 8. Let q(u) = 29*u + 10. Let s = 315 + -319. Let w(p) = s*q(p) + 5*v(p). Determine w(d(y)).
87*y
Let w(s) = 83*s. Let i(q) be the first derivative of 2*q**2 + 1714. Calculate i(w(j)).
332*j
Let y(n) = 8597874*n**2. Let l(d) = 35*d**2. Give y(l(g)).
10532395650*g**4
Let m(t) = -287*t**2 + 424*t**2 - 142*t**2. Let x(n) = 2*n - 8. What is x(m(p))?
-10*p**2 - 8
Let s(t) = 4*t. Let p(z) be the first derivative of -18*z**2 - 371. Determine s(p(v)).
-144*v
Let v(m) be the first derivative of -m**2 + 2. Let r(a) = -17*a - 322. Let p(x) = 50*x + 943. Let u(h) = -14*p(h) - 41*r(h). What is u(v(j))?
6*j
Let g(b) = 161*b + 1991. Let c(i) = -5*i. Calculate g(c(a)).
-805*a + 1991
Let d(a) = -18*a. Let r be 12/(8*1/4). Let o(u) = 14 - 14 + r*u. What is o(d(g))?
-108*g
Let w(r) = 3696306*r + 1. Let a(o) = 4*o. Give w(a(n)).
14785224*n + 1
Let w(a) = -21*a**2 - 42. Let c(y) be the second derivative of -y**4/4 + 3688*y. Give w(c(l)).
-189*l**4 - 42
Let n(i) = -904*i**2. Let c(h) = 17*h**2 - 11*h - 55. Let o(w) = 3*w**2 - 2*w - 10. Let u(f) = 2*c(f) - 11*o(f). Give n(u(z)).
-904*z**4
Let b(n) = -9 + 174*n - 84*n - 87*n. Let c(l) = 1. Let r(k) = 2*b(k) + 18*c(k). Let z(a) = 4*a**2. What is r(z(t))?
24*t**2
Let n(j) = -12*j**2 - 236*j + 4. Let a(v) = -13*v**2 - 295*v + 5. Let c(d) = -4*a(d) + 5*n(d). Let f(b) = 9*b + 2. What is c(f(m))?
-648*m**2 - 288*m - 32
Let b(p) = 40*p + 1. Let r(h) = h**2 - 19217*h. Determine b(r(t)).
40*t**2 - 768680*t + 1
Let o(r) = -2*r + 2*r + r**2. Let a be (4 + 2)/(-2) + 229. Let v(c) = a*c - 97*c - 104*c. Calculate v(o(i)).
25*i**2
Let j(q) = 0*q**2 - q + 6
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{
"pile_set_name": "DM Mathematics"
}
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y is divided by q(7)?
18
Let d(o) = -o**2 + 4*o + 4. Let w = 4 + 4. Suppose j - 4*y = -w, 5*j - y - 5 = 4*y. Calculate the remainder when d(3) is divided by j.
3
Let a(v) be the first derivative of -v**3/3 + 4*v**2 + v - 5. Calculate the remainder when a(5) is divided by 10.
6
Let c = 9 + -6. Let s be (-34)/4 + c/6. Let f(y) = -5*y + 1. What is the remainder when f(s) is divided by 11?
8
What is the remainder when 201 is divided by 4 + (-189)/(-7) + -1?
21
Let a be (22/8*7)/(10/(-40)). Let n = a + 159. Calculate the remainder when n is divided by 17.
14
Let l(u) = u + 3. Let c(a) = a**3 - 3*a**2 - a - 3. Let d be c(4). What is the remainder when (-188)/(-14) - d/21 is divided by l(4)?
6
Suppose -40 = 16*o - 88. What is the remainder when 46 is divided by o?
1
Suppose 60 = -2*t + 5*t. Calculate the remainder when (-44)/8*(-13 + -1) is divided by t.
17
Calculate the remainder when 109 is divided by 5*36/(-30) + 35.
22
Let g = -6 + 10. Calculate the remainder when 11 is divided by (g/6)/(3/18).
3
Let b(g) = g**2 - 2*g - 10. Let u be b(5). Let r be -1 + 0/(-1) + u. Suppose -18 = -r*h + 14. What is the remainder when 28 is divided by h?
4
Suppose 0 = 3*u - 2*x - 342, 3*u - 4*u + 4*x = -104. What is the remainder when u is divided by 41?
34
Let p(z) = z**3 + 2*z**2 - 4. Let a be p(-3). Let t(y) = -10*y + 15. Let v be t(a). Let h = 207 - v. Calculate the remainder when h is divided by 16.
14
Suppose -l = -3*l + 4*u + 62, 5*l + u = 188. Suppose t = 5*x - 75, 4*x + 3*t - 25 = 16. Calculate the remainder when l is divided by x.
9
Suppose 0 = d + 167 - 200. What is the remainder when 113 is divided by d?
14
Suppose -86 - 399 = -5*l - 2*x, 5*l - 460 = 3*x. Let w = -3 - -8. Suppose -3*r = -0*n - w*n + l, 5*n = -3*r + 65. What is the remainder when 62 is divided by n?
14
Suppose -5*a + 15 = 0, 3*a = 4*c + 12 - 51. Calculate the remainder when 34 is divided by (-1*8/c)/((-2)/54).
16
Suppose -2*b - b + 5*z = -89, b - 2*z = 31. Let r(s) = -9*s**3 - s**2 + s + 1. Let d be r(-1). Calculate the remainder when -4 - (d/2 + -53) is divided by b.
22
Let l = 104 - 110. Calculate the remainder when 18 is divided by ((-8)/l)/((-14)/(-105)).
8
Suppose g - 16 = 3*d + d, -64 = -4*g + d. Let i = g + 35. What is the remainder when i is divided by 28?
23
Let z(i) = 28*i + 5. Let u(l) = 55*l + 10. Let k(c) = 3*u(c) - 7*z(c). Let g be k(-8). Let q = g - 171. What is the remainder when q is divided by 15?
12
Suppose -2*f = -4*f - 3*u + 19, 63 = 4*f + u. Let j(z) = -4*z + 2*z**2 - 3 + 0*z + z - 1. What is the remainder when f is divided by j(3)?
2
Suppose -2*a + 80 = 2*a. Suppose -59 = -5*f - 4. Calculate the remainder when a is divided by f.
9
Let o(h) = 17*h + 1. Suppose 0 = -3*w + 75 + 15. What is the remainder when w is divided by o(1)?
12
Let v(m) = 2*m - 17. Let n be v(21). Suppose -n*x = -23*x - 22. Suppose -2*p + l = -13, -4*l + 34 = 5*p - 8*l. What is the remainder when x is divided by p?
5
Suppose 15 = m + 2*m + 3*c, -2*m + 2*c = -10. Let b = 4 - -1. Suppose 0 = -b*f - p + 9, m*f + 2*p + 3*p - 5 = 0. What is the remainder when 5 is divided by f?
1
Let k(h) = -h + 40. Let j be k(25). Calculate the remainder when 1146/j - 3/(-5) is divided by 13.
12
Let f be (-4 - 0)/8*-10. Suppose 2*q + 2*m = 46, -124 = -f*q + 6*m - 2*m. Calculate the remainder when q is divided by 9.
6
Let u = 60 - 60. Suppose -o + 5 = u, -f - 12 = -5*o + 2. Calculate the remainder when f is divided by 6.
5
Let h = -1343 - -1519. What is the remainder when h is divided by 27?
14
Suppose 0 = 4*u + 4*m - 31 - 161, -3*m = 5*u - 246. Calculate the remainder when 454 is divided by u.
46
Let k = 10 + -3. Let r(c) be the first derivative of c**4/4 - 2*c**3 - 3*c**2 + 3*c - 8. Calculate the remainder when r(k) is divided by 3.
1
Suppose -13 = -2*f - 9. Suppose -2*h + 5*s = f*h - 113, -2*h + 4*s = -64. What is the remainder when h is divided by 8?
6
Let z = -598 + 1087. What is the remainder when z is divided by 70?
69
Let z(b) = -2*b + 2. Let v(w) = -2*w + 5. Let f be v(2). Calculate the remainder when 48/9 + f/(-3) is divided by z(-1).
1
Suppose 3*j = -2*m + 282, -m = -3*j - 56 - 85. Let k(n) = -2*n**3 + 14*n**2 - 7*n - 6. What is the remainder when m is divided by k(6)?
21
Let l(g) = g**3 - 2*g**2 - 2*g + 32. Let a be l(0). Suppose a*m - 110 = 27*m. Calculate the remainder when 63 is divided by m.
19
Let l = 10 - 13. Calculate the remainder when 1/3 + (-293)/l is divided by 20.
18
Let f(k) = -6*k - 98. Calculate the remainder when 28 is divided by f(-20).
6
Suppose 2*t - 16 = -18. Calculate the remainder when (12/(-10))/((-3 + t)/20) is divided by 4.
2
Let s(n) = -2*n - 1. Let f(y) = y**3 - 9*y**2 + 23*y + 7. Calculate the remainder when f(6) is divided by s(-3).
2
Suppose -2*x + 3*k + 22 = 0, -12 = -0*k - 3*k. What is the remainder when x is divided by 15?
2
Let n(u) = u**2 - 3*u + 2. Let x be n(-5). Let b = -74 - 6. Let v = x - b. Calculate the remainder when v is divided by 31.
29
Suppose -3*c + 1 + 29 = 0. What is the remainder when 35 is divided by c?
5
What is the remainder when 48 - (35/5 - 5) is divided by 8?
6
Let k(m) be the first derivative of m**3/3 + 3*m**2/2 + 3*m - 3. Let j be k(-3). Suppose 0 = -j*x + 16 + 2. Calculate the remainder when 17 is divided by x.
5
Let u = -1777 - -1783. What is the remainder when 328 is divided by u?
4
Let u = -14 - -13. Let f be (4 - 0) + (-2 - u). What is the remainder when (f - -1)*37/4 is divided by 20?
17
Suppose 3*b - 66 = -0*b. Calculate the remainder when 65 is divided by b.
21
Let q = -12 + 16. Suppose q*t + 90 = 5*b, -3*t + 36 = 4*b + t. Calculate the remainder when 53 is divided by b.
11
Let u(q) = -3 - q**2 + 7 + 2*q**2 - 3*q. Calculate the remainder when 8/18 - (244/(-18) + 0) is divided by u(4).
6
Let u(b) = -12*b. Let d be u(-3). Suppose -5*s = -85 - 65. Let l = d - s. What is the remainder when 47 is divided by l?
5
Let l be 2*2/(12/9). Suppose -l*m + 48 = m - 4*j, -5*j = -2*m + 18. What is the remainder when m is divided by 8?
6
Suppose 0 = -3*v - b + 781, -3*v + 2*b + 778 = -0*v. Calculate the remainder when v is divided by 29.
28
Let x = 205 - 167. Calculate the remainder when x is divided by 11.
5
Let h be 233/7 - (4 - (-52)/(-14)). Let x = 53 - h. Calculate the remainder when 79 is divided by x.
19
Suppose -l = -c + 8, -4*l - 17 - 9 = -3*c. Suppose -5*w = -c*w - 24. Let o = 26 + w. Calculate the remainder when 4 is divided by o.
0
Calculate the remainder when 7 + 15/9*339 is divided by 16.
12
Let m(t) = -26*t**3 + 13*t + 25. Calculate the remainder when m(-2) is divided by 11.
9
Suppose -817 = -6*g - 277. Suppose -30*r + 36*r = g. What is the remainder when 41 is divided by r?
11
Let v(d) = 29*d - 218. What is the remainder when v(11) is divided by 13?
10
Let s(a) = 83*a**2 + 9*a - 13. What is the remainder when s(2) is divided by 26?
25
Let a = 173 + 144. What is the remainder when a is divided by 106?
105
Let s = 335 - 316. Let x be ((-54)/(-8))/((-9)/(-24)). Suppose 4*j - 2 - x = 0. What is the remainder when s is divided by j?
4
Let n = 637 + -600. What is the remainder when 57 is divided by n?
20
Suppose -164 = -3*f - f. Let o = -18 + f. Let a(v) = v + 12. Calculate the remainder when o is divided by a(-6).
5
Suppose 200 = 3*q - 4*x, -q + 3*x + 2*x + 52 = 0. Calculate the remainder when q is divided by 38.
34
Let g(k) = -k**3 - 3*k**2 + 4*k + 8. Let x be g(-5). Let z = x - 54. Let c = 21 + z. Calculate the remainder when 19 is divided by c.
4
Suppose -3*r = 2*r + 825. Let m = -93 - r. What is the remainder when m is divided by 25?
22
Let f(z) = -z**3 - 3*z**2 - 2*z - 1. Let y be f(-3). Let k be 30/18*6/y. Suppose -k*w = -4*w + 48. Calculate the remainder when 46 is divided by w.
22
Calculate the remainder when (-4)/(-12) + 4717/159 is divided by 20.
10
Suppose -n + 5 - 1 = 0. Calculate the remainder when ((-6)/n)/(42/(-2492)) is divided by 13.
11
Calculate the remainder when 115 is divided by (-156)/(-273) - (-24)/7.
3
Let l = 74 + -34. Suppose 0*y - l = -2*y. Calculate the remainder when 5/(y/8) - -42 is divided by 15.
14
Suppose -164*g - 147 = -185*g. What is the remainder when 527 is divided by g?
2
Let r(l) = -l**3 - 11*l**2 - 12*l + 12. Let q(n) = 6*n - 1 - 8*n - 2*n + 9*n**2. What is the remainder when q(4) is divided by r(-10)
|
{
"pile_set_name": "DM Mathematics"
}
|
nator of 83*(-6)/(-18)*6/(-208) and 37/5?
520
Suppose 45*y - 1251 = 48*y. Calculate the common denominator of -2 + (-2)/228*y and 51/8.
152
Suppose 6*o - 84 = 3*o + 3*d, 4*o - 152 = -4*d. Calculate the least common multiple of o and 22.
66
Suppose m - 4*i - 11 = 0, -2*i = 2*m - 5*i - 22. Suppose z + 0 - 2 = 0. What is the least common multiple of m and ((z - 3) + 6)/1?
55
Calculate the smallest common multiple of (-96)/224 + (-2 - 5466/(-14)) and 14.
2716
Let b(i) = -100*i**3. Calculate the lowest common multiple of b(-1) and 10.
100
Let s = 12095879/60 + -810481/4. Let w = 1019 + s. Find the common denominator of -151/30 and w.
30
Let a(q) = -q**2 + 14*q - 19. Let b be a(8). Suppose 7*j - b - 13 = 0. Calculate the smallest common multiple of j and 10.
30
Let z = 34 - 13. Suppose z = 7*s - 6*s. Calculate the least common multiple of s and 18.
126
Suppose 6*v + 3*k - 18 = v, -4*v + 3*k = -36. Let w = v - 2. Calculate the least common multiple of w and 5.
20
Let b = -2109 - -2124. Let n = -22055/6 + 3688. What is the common denominator of n and b?
6
Suppose -4*m + 0*w + w = -159, 5*m + 2*w = 189. Let p = 57 - m. What is the least common multiple of (-9)/(27/12) - -24 and p?
180
Let f = 27/4 + -449/60. What is the common denominator of f and 22/51?
255
Let k be ((-78)/1989)/((-1)/(762/20)). Let i = -10617/1360 + k. Find the common denominator of -73/24 and i.
48
Let m be (-4)/6 - (-5702)/(-1104). Let y = 25/46 - m. Find the common denominator of y and 12/10*(-20)/22.
88
Let m = -21338 - -2496605/117. Calculate the common denominator of m and -13/18.
234
Let o be (2/8)/(-1) + 1314/(-24). Let r = -60 - o. What is the common denominator of r and (-2)/(-8) + 114/(-16)?
8
Suppose 2*l - 92 = 5*s, 3*s - 4*l + 48 = -l. Suppose -4*x = -3*n - 142, -158 = 7*n - 4*n + 4*x. Find the common denominator of (-158)/(-16)*s/n and 71/12.
60
Let n(g) = -g**2 + 15*g + 55. Let d be n(18). Suppose 4*z - 4*p - 92 = 0, -2*z - 3*p + 20 = -d. What is the lowest common multiple of (36/14)/(1/7) and z?
18
Find the common denominator of -93/4 and (268/8)/(12069/54).
1788
Let u(s) = -s**3 + 16*s**2 + 6*s + 3. Calculate the least common multiple of 27 and u(16).
297
Suppose -l = -5*y - 37, 4*l = l - y + 47. Suppose -k + 3 + l = 0. Calculate the least common multiple of 8 and k.
40
Let z = 107785/4 - 25525. Let a = z + -1431. Find the common denominator of a and 5/2.
4
Let t = 21607 - 5790665/268. Let a = 231096833 + -309669772379/1340. Let o = t - a. What is the common denominator of -37/10 and o?
10
Let s be (1894/(-20))/(3 - (-51)/(-15)). Let a = s - 238. Calculate the common denominator of a and -43/10.
20
Let f(q) = 2*q**3 - 9*q**2 - 11*q + 37. Let w be f(10). Let o = w + -63721/62. Calculate the common denominator of 51/14 and o.
434
Find the common denominator of 59/90 and 0 - 1/(-1) - (-415)/(-300).
180
What is the common denominator of 32/5 and 15/((-75)/20) + 194/45?
45
Let t be 1 + 38*1/2. Suppose o + 3 - 1 = 0, 5*o + t = j. Let y = 10 + 2. Calculate the lowest common multiple of y and j.
60
Let l(c) be the third derivative of c**6/120 - c**5/15 + c**4/24 + 2*c**3/3 + 2*c**2. Let q = 38 + -26. What is the lowest common multiple of q and l(4)?
24
Let c be -1*(4 + 20/(-4)). Suppose c = 5*l - 4. What is the common denominator of 89/4 and 38/8 - 3/l?
4
Let r = 37 - 35. Suppose r*x - 3*x - s = -5, -3*x + 18 = 4*s. What is the lowest common multiple of x and (-56)/(-6) - 6/(-9)?
10
Let f = -9 + 9. Suppose -4*k = -f*k. Suppose k = -2*m + 4*x + 20, -6*m + 5*x = -m - 35. Calculate the least common multiple of m and 4.
4
Suppose -5*b - 4*h = 5, 3*b - 2*b + 15 = 2*h. Let l = 215/2 + -130. What is the common denominator of 2/b + 1404/(-440) and l?
22
Let f(n) = 13*n**2 - n. Let y be ((-2)/(-6))/(2/6). Let d be f(y). Calculate the common denominator of 9/8 and 1/(-36)*(-14 + d).
72
Suppose -3*j - 2*j = -3*p + 23, -2*p + 4*j + 14 = 0. Let d(o) = -o**3 - o**2 + 7*o + 9. Calculate the least common multiple of d(-3) and p.
66
Let r(o) = -12*o**3 + 4*o**2 - o - 2. Let k be r(2). What is the common denominator of k/(-63)*(-2)/(14/33) and -20/3?
21
Let g = 2 - -7. Let x be (-1)/3*(5 - 11). Suppose 14 = x*z + 2*q + 6, -4*z = -3*q - 9. Calculate the lowest common multiple of z and g.
9
Let f = 1/1689 - -81065/11823. Find the common denominator of f and -77/4.
28
Let f = 188 - 134. Calculate the least common multiple of f and 63.
378
Let s = -1300662883121/796300005570 - 584/42145655. Let z = s + 1/15745. Find the common denominator of 46/15 and z.
30
Let n(c) = -2*c**3 - c + 2. Let t = 1446 + -982. What is the smallest common multiple of n(-2) and ((-2)/(-4))/(2/t)?
580
Suppose -4*v + 264 = 5*x, 179 = 3*v + 3*x - 4*x. Suppose -4*l + 134 = -2*g, 2*l - v = -0*g - 5*g. Calculate the least common multiple of 9 and l.
99
Let j(t) = t + 0*t + 14 + 0*t. Let q = -20 - -11. What is the least common multiple of j(q) and 5?
5
Suppose 11 + 1 = 3*w. Let c be (w - -1) + (-3 - -6). Calculate the common denominator of 47/14 and -11*((-35)/c)/7.
56
Suppose 2*y = -5*u + 15406, y - 5*u - 3127 - 4591 = 0. Let i be (117/(-182))/((-3)/(-35939)). Let f = i + y. What is the common denominator of 11/2 and f?
14
Let b = -2 + 5. Suppose 0 = -2*x + 4*i - 4, -b*x + 35 = 2*x + 5*i. Calculate the smallest common multiple of 5 and 9/6*x/6.
5
Calculate the lowest common multiple of 74/6 - (-6)/(-18) and 0 - -1 - (-1 + -3).
60
Let j = 738 + -686. Let h = 27 - 7. Calculate the lowest common multiple of h and j.
260
Calculate the lowest common multiple of (-4 - -9) + 7 - 1 and 83.
913
Let r = 401931/28 - 14357. Find the common denominator of r and (-21 + 23)*(3 - 459/120).
140
What is the common denominator of ((-113)/6)/((-140)/(-84)) and ((-2)/12)/(3/122)?
90
Let x be (-59208)/(-165) + 2/4. Let s = x - 1806/5. Calculate the common denominator of s and -5 + (-148)/(-56) - (3 + -3).
154
Let d = 613 + -1203/2. Find the common denominator of d and (-4)/48*(38 + -1).
12
Suppose 2*n = n + 3, -4*q + 4*n = 0. Let m = 8 - q. Suppose 0 = 4*l - 28 - 16. What is the lowest common multiple of m and l?
55
Let m(v) = 2*v**2 + 2*v - 4. Let h(t) = 7*t - 12. Let l be h(2). Suppose 40 = 5*g - 10. Calculate the lowest common multiple of g and m(l).
40
Suppose 3 = 17*d - 16*d. Calculate the least common multiple of 14 and ((-7)/d)/(12/(-72)).
14
Let p = -16 - -30. Let i = 23 - p. Calculate the least common multiple of (-3)/(-2) - (-1)/(-2) and i.
9
Suppose -d = 22 - 146. What is the least common multiple of 10 and d/36*3*3?
310
Suppose -12 = -3*w - 0*w. What is the lowest common multiple of (-11*2/4)/(3/(-6)) and w?
44
Let r = -285/22 + -409/44. Find the common denominator of r and (-1 - (-82)/84)/((-39)/(-3471)).
84
Let z = 1444007/36 + -40114. What is the common denominator of -43/4 and z?
36
Let r = -34/19739 + -21172331/4421536. Let f = -89/32 + r. Let p = 14468/3795 + 2/345. What is the common denominator of p and f?
77
Let k be 346/26 + -2 + 2. Let z = -1219/117 + k. Find the common denominator of 138/(-16) + 6/12 and z.
72
Let g = -305524314/211561 + 1/30223. Let r be -1438 - (4 + -4) - 3. Let i = g - r. Find the common denominator of i and 53/6.
42
What is the common denominator of -35/8 and ((-3782)/155)/((-2072)/10)?
2072
Calculate the common denominator of (206/(-4))/((-98)/(-7)) and -101/8.
56
Suppose -13 = h - 2*s + 5, -4*h - 3*s - 94 = 0. Let l = h + 20. Calculate the least common multiple of (4 + -12)/l - 1 and 10.
30
Let b be 14/21 - (-56)/(-3). Let z = b - -30. Suppose -3*i + 17 = u, 3*u - i - 69 = -2*u. What is the smallest common multiple of z and u?
84
Find the common denominator of 195/(-21)*(122/(-108) + 1) and 137/36.
108
Suppose 18 = 4*k + 2. Let b be 0/(-4 + k - -2). Suppose b = -2*o - 0*o - 2*p + 14, -2*o - 3*p + 15 = 0. What is the lowest common multiple of 22 and o?
66
Suppose 3*l + 108 = 6*l. Let x = 50 - l. What is the least common multiple of x and 4?
28
Let k(o) = -o**2 + 17*o - 10. Let n be k(14). Suppose -5*t - n = -3*m, 8 + 31 = -5*t - 4*m. Find the common denominator of -107/22 and 18/4 + t + 7.
22
Let o be 4/(-14) + (-3900)/952. Let v = 929/51 + o. Calculate the common denominator of 97/10 and v.
30
Let z(m) = 11*m**2 + 25*m + 17. Let h(o) = -3*o**2 - 6*o - 4. Let r(u) = -9*h(u) - 2*z(u). Calculate the
|
{
"pile_set_name": "DM Mathematics"
}
|
04
Round 32.9444 to two decimal places.
32.94
What is 410883 rounded to the nearest 1000?
411000
What is -0.003211874 rounded to 5 dps?
-0.00321
What is 0.0000158192 rounded to 7 decimal places?
0.0000158
What is -60.648 rounded to the nearest ten?
-60
What is 0.005012595 rounded to six decimal places?
0.005013
Round 28161.4 to the nearest 1000.
28000
What is -0.002862429 rounded to 6 dps?
-0.002862
Round 0.0001265876 to 7 decimal places.
0.0001266
Round 885.7696 to zero dps.
886
Round 0.000068023383 to 5 decimal places.
0.00007
What is 0.0001377282 rounded to seven dps?
0.0001377
Round -79.1253 to zero decimal places.
-79
Round 881399 to the nearest ten thousand.
880000
What is -1295275.8 rounded to the nearest ten thousand?
-1300000
What is -0.00128232 rounded to six decimal places?
-0.001282
Round 183.421 to the nearest 100.
200
Round 0.00000126699 to 6 decimal places.
0.000001
Round 0.0000471049 to five decimal places.
0.00005
Round -44581.48 to the nearest one hundred.
-44600
What is 0.000578229 rounded to six dps?
0.000578
Round 247.628 to the nearest 10.
250
What is 169.8343 rounded to the nearest ten?
170
Round 115.17561 to 1 dp.
115.2
Round -0.000104412 to six decimal places.
-0.000104
What is 0.00000016161 rounded to 7 decimal places?
0.0000002
Round 0.00420663 to 3 decimal places.
0.004
What is 15.385196 rounded to 2 dps?
15.39
What is -0.665977 rounded to two decimal places?
-0.67
What is 0.0851314 rounded to 3 dps?
0.085
What is 0.0000011754113 rounded to seven dps?
0.0000012
What is 10530.1 rounded to the nearest 100?
10500
Round -0.0151244 to 5 decimal places.
-0.01512
What is 0.0001865748 rounded to seven decimal places?
0.0001866
What is 0.001610263 rounded to four dps?
0.0016
Round -164852.5 to the nearest 1000.
-165000
Round -26.0195 to 1 dp.
-26
What is -20.52803 rounded to 0 decimal places?
-21
What is -0.00000528673 rounded to seven dps?
-0.0000053
What is -0.0000099650015 rounded to 6 decimal places?
-0.00001
Round -0.00575228 to 3 dps.
-0.006
What is 24.8778 rounded to the nearest integer?
25
Round 0.3810491 to two dps.
0.38
What is 311.9986 rounded to the nearest integer?
312
What is 0.009883361 rounded to 6 dps?
0.009883
What is -6278.1 rounded to the nearest one hundred?
-6300
What is 7428.664 rounded to the nearest one hundred?
7400
What is 0.000329445 rounded to 4 dps?
0.0003
Round -0.000018281216 to 7 decimal places.
-0.0000183
Round -0.00001401032 to 5 dps.
-0.00001
What is 14048951 rounded to the nearest one million?
14000000
What is 25741.035 rounded to the nearest 10?
25740
Round -3.24126 to one dp.
-3.2
What is -1.7196327 rounded to three decimal places?
-1.72
What is -1280390 rounded to the nearest 10000?
-1280000
Round -0.00000035232 to 7 decimal places.
-0.0000004
What is 105499000 rounded to the nearest 1000000?
105000000
Round -127113.767 to the nearest 100.
-127100
What is -0.7835101 rounded to 1 dp?
-0.8
What is 15246.042 rounded to the nearest 1000?
15000
What is 0.0000007898855 rounded to seven dps?
0.0000008
What is 0.00026388 rounded to 6 dps?
0.000264
Round -0.006569537 to 4 decimal places.
-0.0066
Round -0.00123861577 to four dps.
-0.0012
What is -0.004775902 rounded to four decimal places?
-0.0048
What is 619475 rounded to the nearest one thousand?
619000
What is -3032443.1 rounded to the nearest one thousand?
-3032000
What is -259107.6 rounded to the nearest 1000?
-259000
Round 0.0986778 to three decimal places.
0.099
What is 0.000006874753 rounded to 7 dps?
0.0000069
What is -6180513 rounded to the nearest one thousand?
-6181000
Round 0.2375727 to two dps.
0.24
What is -419.14 rounded to the nearest one thousand?
0
What is -589500 rounded to the nearest one hundred thousand?
-600000
What is -589286 rounded to the nearest 1000?
-589000
Round 179.21476 to 1 decimal place.
179.2
Round -3439.346 to the nearest 10.
-3440
What is -280.93291 rounded to the nearest integer?
-281
What is -255.612 rounded to the nearest ten?
-260
Round -0.000000947177 to seven dps.
-0.0000009
What is 1080.6168 rounded to the nearest one hundred?
1100
Round 0.0007978771 to five decimal places.
0.0008
What is 25558 rounded to the nearest 1000?
26000
Round 0.00125545 to 5 decimal places.
0.00126
What is 0.00015442785 rounded to six decimal places?
0.000154
What is 0.002265154 rounded to 5 dps?
0.00227
What is -0.6141547 rounded to 2 dps?
-0.61
What is -0.14101902 rounded to 4 dps?
-0.141
What is -4361100 rounded to the nearest 100000?
-4400000
What is -42178.39 rounded to the nearest 10?
-42180
Round 531.26121 to the nearest one hundred.
500
Round -231344 to the nearest one hundred thousand.
-200000
What is -0.523572 rounded to two dps?
-0.52
What is -0.0003341388 rounded to 7 dps?
-0.0003341
Round -0.00021868455 to five dps.
-0.00022
Round -102744.49 to the nearest 1000.
-103000
What is -350.0596 rounded to 0 dps?
-350
Round -5.64385 to two decimal places.
-5.64
Round -0.016702524 to 4 decimal places.
-0.0167
What is -1.0917305 rounded to one dp?
-1.1
What is -0.0491152 rounded to three dps?
-0.049
Round -0.00004418893 to 5 dps.
-0.00004
Round 26131.374 to the nearest one thousand.
26000
What is -27.010787 rounded to 0 decimal places?
-27
What is -0.1569168 rounded to 4 dps?
-0.1569
Round -0.0000012903248 to seven dps.
-0.0000013
What is 5.886854 rounded to zero dps?
6
Round -0.0002220959 to seven dps.
-0.0002221
What is -0.00029963518 rounded to 5 decimal places?
-0.0003
What is 5682.37 rounded to the nearest ten?
5680
Round 3090860 to the nearest 10000.
3090000
Round 0.2683861 to three decimal places.
0.268
Round 19.22742 to one dp.
19.2
Round 319.417 to 0 decimal places.
319
Round -0.000096738631 to seven dps.
-0.0000967
Round 370.63128 to the nearest 10.
370
Round -506.1219 to the nearest 100.
-500
What is 35847020 rounded to the nearest 10000?
35850000
Round -1.133697 to 3 decimal places.
-1.134
What is -1258.39 rounded to the nearest one hundred?
-1300
What is 110197.7 rounded to the nearest ten thousand?
110000
What is -1745.7273 rounded to the nearest integer?
-1746
Round -280701990 to the nearest 100000.
-280700000
Round -0.00155536 to four decimal places.
-0.0016
What is 2802606.8 rounded to the nearest 10000?
2800000
What is 734073000 rounded to the nearest 1000000?
734000000
What is -0.0375602 rounded to two decimal places?
-0.04
Round -21.012452 to two decimal places.
-21.01
What is 0.00000337265 rounded to seven decimal places?
0.0000034
What is 99485130 rounded to the nearest one million?
99000000
What is 1345.02 rounded to the nearest ten?
1350
Round 1975834 to the nearest 100000.
2000000
What is -8.0817 rounded to two dps?
-8.08
Round 517896400 to the nearest one hundred thousand.
517900000
What is 0.00001346466 rounded to five decimal places?
0.00001
What is -906062.7 rounded to the nearest 10000?
-910000
What is 387042.52 rounded to the nearest ten thousand?
390000
What is 6849.612 rounded to the nearest 100?
6800
Round 1.75945 to 1 decimal place.
1.8
Round -753.25 to the nearest 100.
-800
What is -0.01198869 rounded to four dps?
-0.012
Round -0.0037824974 to 5 dps.
-0.00378
What is -137709.4 rounded to the nearest one thousand?
-138000
What is -3023.433 rounded to zero dps?
-3023
What is -0.0000778278 rounded to 7 dps?
-0.0000778
Round -0.1019304 to 4 decimal places.
-0.1019
Round -524.033 to the nearest integer.
-524
What is -0.0297861 rounded to one decimal place?
0
What is 4583.124 rounded to the nearest one hundred?
4600
Round -0.007996462 to four decimal places.
-0.008
What is -201559.2 rounded to the nearest one thousand?
-202000
Round -0.000054752 to 6 decimal places.
-0.000055
What is 35.91 rounded to the nearest ten?
40
Round 1.398471 to two dps.
1.4
What is -2.673001 rounded to two dps?
-2.67
What is 7.290671 rounded to the nearest ten?
10
Round -40.113 to one dp.
-40.1
Round 68.8777 to the nearest integer.
69
What is 0.0078637 rounded to five decimal places?
0.00786
Round 2508.19 to the nearest 100.
2500
Round 0.3689 to one dp.
0.4
What is 2649.97 rounded to the nearest ten?
2650
Round 0.0927751 to 4 dps.
0.0928
What is 3651.94 rounded to the nearest 100?
3700
Round 0.2412988 to four dps.
0.2413
Round -10264681 to the nearest one hundred thousand.
-10300000
Round 940241 to the nearest 1
|
{
"pile_set_name": "DM Mathematics"
}
|
9
Suppose 22 - 94 = -2*s. Let r be 25 - 1*(1 - 0). What is the greatest common factor of s and r?
12
Let u = 19 + 3. What is the highest common divisor of 176 and u?
22
Suppose 7*z - 2*z = 0. Suppose z = -2*g + 6*g - 136. Calculate the highest common divisor of 17 and g.
17
Let i = 78 + -66. Suppose x + 5*r = -3*x + 28, -2*x + 2*r = 4. Suppose -2*v + 96 = x*v. What is the highest common divisor of i and v?
12
Let v be ((-2)/4)/(1/(-6)). Let o = 12 - v. Calculate the highest common factor of o and 36.
9
Suppose 2*s + 12 = -4*x + 7*s, -4*s = -4*x - 8. What is the highest common divisor of 1 and x?
1
Suppose -495 + 93 = -4*h - 2*l, 0 = -l + 3. What is the greatest common divisor of h and 9?
9
Suppose -2 - 4 = 3*w. Let s be ((-7)/((-14)/(-20)))/w. Calculate the highest common factor of 10 and s.
5
Let u be (-4 - -4)/(-4) - 4. Let a be u/((-64)/(-12))*-36. What is the highest common divisor of a and 9?
9
Let p(q) = 36*q + 5. Let v be p(2). Calculate the greatest common factor of v and 7.
7
Let h(t) = -2*t - 7. Let g = 9 - 14. Let p be h(g). Suppose 4*o = 4*i - 64, 2*i = -p*i - 4*o + 71. Calculate the highest common divisor of i and 10.
5
Let o = 43 + -34. Calculate the highest common factor of o and 72.
9
Let p(k) = -k - 10. Let a be p(-7). Let s = 8 + a. Suppose s*b = -2*q + 19, -2*q + b - 3*b = -34. What is the greatest common divisor of 11 and q?
11
Let h = 5 + -2. Suppose 0*s = h*s - 690. Suppose 0 = 2*k - 4 - s. Calculate the greatest common divisor of 13 and k.
13
Let i be (-5 + -17)/((-6)/9). What is the highest common divisor of i and 231?
33
Let k be 0 - 1 - (-10)/1. Let r be (-27)/2*16/(-12). Calculate the greatest common divisor of k and r.
9
Suppose -h + 3*h + 50 = 2*o, -100 = -4*o - h. Calculate the greatest common factor of 25 and o.
25
Suppose 3*a - 61 = -0*a + 5*y, 51 = 3*a - 3*y. Suppose -5*m + a = -m. Suppose -u = 3*p - p - 15, -27 = -u + 2*p. What is the greatest common divisor of u and m?
3
Suppose -3*p = -154 + 19. Let v be (3/6)/(3/(-18)). Let i = v + 8. Calculate the highest common divisor of p and i.
5
Let w = -98 + 104. Calculate the highest common divisor of 3 and w.
3
Suppose -3*f - 27 = -6*f. Let p = 6 - 0. Calculate the greatest common divisor of f and p.
3
Let t = 24 - 22. Calculate the highest common divisor of t and 2.
2
Let d(w) = w**3 - w**2 - w - 5. Let v be d(5). Suppose -2*g - 16 = -6*g. Let a = g - -6. What is the greatest common factor of a and v?
10
Let b be 5 - (-1)/(3 - 2). What is the highest common divisor of b and 48?
6
Let f = 16 - 12. Suppose 0 = -5*n - t + 837, -f*t - 14 + 2 = 0. Calculate the greatest common factor of n and 21.
21
Let v = -104 - -266. Calculate the highest common factor of v and 6.
6
Let v be ((-27)/(-18))/((-1)/(-2)). Suppose -3*j + 8*j - 75 = 5*i, -v*j + 2*i + 40 = 0. What is the greatest common factor of 110 and j?
10
Let w(b) = -b**2 + 6*b + 2. Let f be w(6). Suppose -d = -1, f*p - 86 = -p - 2*d. Calculate the greatest common factor of p and 14.
14
Let m = -1 + 0. Let k be (2*m)/((-3)/6). Suppose -3*j = -r - k*r + 36, j + 6 = r. Calculate the highest common divisor of r and 36.
9
Suppose -b + 120 = 5*q, -3*b - 320 = -6*b + 5*q. What is the greatest common factor of b and 10?
10
Let x(f) = -f + 5. Let b be x(0). What is the greatest common divisor of 5 and b?
5
Let i = 387 + -211. Calculate the greatest common divisor of i and 22.
22
Suppose 0 = o - 4*o + 45. Suppose 113 = 3*c - 112. Calculate the highest common divisor of o and c.
15
Let f = -161 - -315. What is the highest common factor of 14 and f?
14
Let m = -4 + -5. Let l be 14/(-63) + (-38)/m. Let u be 40/(-6)*(-36)/15. Calculate the greatest common divisor of l and u.
4
Suppose -7*l - 4*g + 18 = -5*l, 2*l - 2*g = -6. Calculate the highest common divisor of l and 3.
1
Suppose -9*k + 294 = 5*k. Calculate the greatest common factor of 84 and k.
21
Let f be (-70)/8 - (-3)/(-12). Let w = f - -44. Let n be 7/(-2)*(-2)/1. What is the highest common divisor of n and w?
7
Suppose 3*s + 2 = 2*f, -f - s + 7 = 1. What is the greatest common divisor of f and 2?
2
Let i = -5 + 3. Let g be 4*(21/4 + i). What is the highest common divisor of 52 and g?
13
Suppose -2 + 14 = 3*h. Suppose 2*k + k = 0. Suppose 3*x + v - 30 = -2, k = -4*x - 2*v + 36. Calculate the highest common factor of h and x.
2
Suppose -21 = -d - 2*d. Calculate the greatest common factor of 14 and d.
7
Let j = 24 + -16. Suppose g = 4*g - 48. What is the highest common divisor of g and j?
8
Suppose l = 3*v + 18, 12 = -l - 3*v - 0. Suppose u - 2 = 3*w + 9, -2*u = -l*w - 13. Let g = u - -2. What is the greatest common factor of g and 10?
2
Let z(n) = 9*n**2 + n - 1. Let b(f) = -2*f - 2. Let r be b(-2). Suppose 5*l - r - 3 = 0. Let j be z(l). What is the greatest common divisor of j and 81?
9
Suppose 0 = -0*u - u + 2. Suppose -6 = u*a + 3*q - 2, -5*a + 5*q + 40 = 0. What is the greatest common divisor of a and 1?
1
Let q be 90/(-2 + (2 - -1)). Let i = q + 42. What is the greatest common factor of i and 12?
12
Suppose z + 2 = -2*a + 4*a, 3*a - 3*z = 0. What is the highest common factor of a and 3?
1
Suppose -3*o + 4*m = 3 - 5, -4*o + 44 = 5*m. Calculate the greatest common divisor of 54 and o.
6
Let a(r) = r**3 - 9*r**2 - 10*r + 2. Let x be a(10). Suppose 0 = b - 2*q, -x*q + 55 = 3*b + 3*q. What is the greatest common factor of b and 30?
10
Suppose -5*h + 1000 = -260. What is the highest common factor of 36 and h?
36
Suppose 4 = 3*q + 4*p - 80, -2*q + 4*p + 76 = 0. Calculate the highest common factor of 16 and q.
16
Let h = -5 + 17. Let a(s) = 9*s**2 - 2*s - 4. Let o be a(4). What is the highest common factor of o and h?
12
Suppose l - 2*z = 3*z + 105, z = 5. What is the greatest common factor of 10 and l?
10
Suppose -4*p = 4*d - 0 - 4, 3*d = -5*p + 7. Suppose p*r + 2 = r. Let y be 41 - 0 - (1 + r). What is the greatest common divisor of 28 and y?
14
Suppose -2*l + 9 = -25. Let n be 2 + -2 + 0 + l. Suppose 3*z - 4 = n. What is the highest common factor of 77 and z?
7
Suppose -3*i - 23 - 14 = -2*y, -21 = -y + i. Let x = -585 + 871. Calculate the highest common factor of x and y.
26
Suppose -y + 39 = -5*j, 4*y - j - 34 = 27. Let v be 4/((-24)/(-10))*21. What is the greatest common divisor of v and y?
7
Let t = 13 + 11. What is the highest common factor of t and 6?
6
Let c = -108 - -163. What is the greatest common divisor of 10 and c?
5
Let c(b) = 2*b**3 - 6*b**2 + 3*b + 1. Let a be c(4). Suppose -s = 2*s - a. Calculate the highest common factor of s and 10.
5
Let t(r) = -2*r**2 - 4*r + 3. Let v be t(-5). Suppose -4*q + 3*i + 221 = 0, -i = -3*q + q + 113. Let s = v + q. Calculate the highest common factor of s and 16.
16
Let m(l) = -l**2 + 4*l + 6. Let s be m(6). Let u = s + 30. Let v(q) = -7*q - 6. Let x be v(-6). What is the highest common factor of u and x?
12
Suppose 4*b - 65 - 31 = 0. Let p = b + -9. Let h = -3 - -6. What is the greatest common divisor of p and h?
3
Let t = 79 - 67. What is the greatest common divisor of 96 and t?
12
Let k be 1/2*10*-2. Let w be k/(-6) + (-2)/3. Let r = 12 - 11. What is the greatest common factor of r and w?
1
Let j = 126 + 45. What is the highest common factor of 19 and j?
19
Let q = 62 - 61. What is the highest common factor of q and 17?
1
Let s = -57 - -75. Calculate the greatest common divisor of s and 27.
9
Suppose -51 = 2*k - 5*k. Let q be 2/(-1) - (-1 - k). What is the highest common factor of q and 160?
16
Suppose 2*s - 14 = 84. What is the greatest common factor of s and 7?
7
Let v be (-7 + 4)*(-56)/6. Let k be 2/(-16)*-10*v. What is the highest common divisor of 7 and k?
7
Let w(m) = m**2 + 14*m - 3. Let b be w(-15). What is the highest common factor of b and 8?
4
Let g = -144 + 260. Let t be g/8 + (-1)/(-2). Calculate the highest common divisor of 6 and t.
3
Suppose 0 = 2*a + 3*a - 30. Let b(h) = h**2 - 5*h - 8. Let r be b(a). Let y be 7 - -2*(-3 - r). What is the highest common factor of 15 and y?
5
Let m = 49 - 82. Let n be (m + 3)/(4/(-2)). Calculate the greatest common divisor of n and 75.
15
Let p be (4 + -12)*(-3)/4. What is the highest common divisor of 24 and p?
6
Suppose -4*o + 9*o - 180 = 0. Let g(b) be the third derivative of b**5/30 - b**4/12 - b**2. Let t be g(3). What is the highest common divisor of t and o?
12
|
{
"pile_set_name": "DM Mathematics"
}
|
2*a + 3*a = -3*a. Let i = -0.07 - 0.23. Let y = -0.35 - i. Is y equal to a?
False
Suppose 12*u + z + 63 = 16*u, -19 = -2*u + 3*z. Which is bigger: u or 32?
32
Let g = -106 - -1583/15. Is -2/13 at most g?
False
Let x = 10 + 12. Suppose 0*m - 8 = 2*m, 0 = k - 2*m - 29. Is x bigger than k?
True
Suppose -4*t + 3*h = 200, -2*t = 2*h + 71 + 29. Let g be (4 - (-147)/(-30))*t/12. Which is bigger: -0.1 or g?
g
Let f be 2/(-5) + 18/(-5). Let t be ((-328)/18 + 2/9)*1. Let l be (t/f)/1 - 0. Does 6 = l?
False
Let s = 0.62 - 27.62. Let n = 25 + s. Which is smaller: 7 or n?
n
Let u be (15547/1110)/1 + (-15)/75. Let q = 83/6 - u. Is -1 greater than q?
False
Let c = -2 - -9. Suppose -r = -c*r - 156. Let n = 41 + r. Is n bigger than 15?
False
Suppose -2*r + 4*t = -4, -4*r + 3*t = -t - 8. Suppose -4*y - 2 = -2*c, 3*c + r*c = -5*y + 35. Let z(b) = 2*b - 41. Let w be z(21). Which is greater: y or w?
y
Let g = 1808/11 - 19610/143. Which is greater: g or 28?
28
Let x(k) = k**3 + 9*k**2 + 12*k + 21. Let n be x(-7). Suppose 0 = -m + n - 35. Do -24/17 and m have the same value?
False
Let j be 4 + -3*381/(-45). Let d = 51 - 21. Let a = d - j. Which is smaller: a or 0?
0
Let n be 0 + (2 - 1)/1. Let h be (12/(-20))/(n/5). Let f = -41.3 + 41. Is h >= f?
False
Let n(w) = -6*w - 47. Let o be n(8). Is -95 equal to o?
True
Let b = -33 + 12. Let y be -2 + (1 - b) + -3. Let x = -16 + y. Is 3/4 greater than or equal to x?
False
Suppose 0 = 111*m - 13*m - 5194. Is 670/13 greater than or equal to m?
False
Let i(z) = -14*z**3 + 0*z + 12*z**3 + z - 4. Let u be i(2). Which is smaller: u or -52/3?
u
Let a = 0.06 + 0.06. Let h = -0.1 + a. Let l = 8362 - 8361. Which is greater: l or h?
l
Let r = 45 + -46. Which is smaller: r or -0.4?
r
Let t = -190 - -574/3. Is t equal to -8/3?
False
Let w = 23/10 - 14/5. Let s = -47.19 + 47. Let i = s - -0.17. Is i not equal to w?
True
Let o be 2 - 6/3 - -2. Suppose 36 + 74 = o*p + 2*y, -5*p + 263 = -y. Is -1 >= p?
False
Let j(v) = -v**3 - v**2 + 3*v + 7. Let t be j(-3). Let d be 2/(-5)*(-30)/t. Which is smaller: 1 or d?
d
Let c = -219.545 + 220. Which is greater: 0.1 or c?
c
Let v = 75747/4355 + 6/871. Is v less than 16?
False
Let q = -257/445 - 2/89. Let z be (-7 + 4)/(-4 - 66/(-12)). Are q and z nonequal?
True
Suppose 0 = -2*f - 2*d + 4, 4*f - 4 = -d + 4. Let a(i) = -i - 1. Let c(y) = 3*y - 8. Let q(n) = f*a(n) + c(n). Let b be q(9). Which is greater: b or -2/19?
-2/19
Let o(d) = d**3 - 29*d**2 + 29*d + 20. Let n be o(28). Which is smaller: n or 53?
n
Let c(a) = a**2 + 40*a - 335. Let o be c(-47). Which is greater: -75/13 or o?
-75/13
Let o = 233498/17 - 13740. Which is smaller: -5 or o?
-5
Let v be (-7 - -1)*(-1)/((-3)/5). Let j = 148 + -152. Are v and j equal?
False
Suppose -2*n - n = -3. Let f be (-2)/(-19) - 6*(-1105)/(-44574). Is f >= n?
False
Let y(h) = h + 1. Let k be y(-4). Let s be (-2)/k + (-28)/(-12). Suppose -s*r = 2*r. Which is smaller: r or -2?
-2
Let o = -374 + 380. Is 12 > o?
True
Let v = -7 - -9. Suppose -v*u = s + 3*s - 12, -4*u + 4*s = 0. Let c be u/(-8) - (-29)/4. Is c at least 6?
True
Suppose -6*f + 372 = 3*z, -9*f - 5*z + 44 = -8*f. Is 46 at least f?
False
Let m = 26 + -11. Let w = -27 + 25. Let o(n) = 3*n**2 - 2*n - 1. Let g be o(w). Is g at most m?
True
Suppose 5*v - 4*y = 19, 5*v - 11 = -2*y - 2*y. Suppose 2*n = 4*a + 16, n = -2*a + v*a + 8. Let z = -15 + n. Is -7 greater than z?
False
Let m = 4.5 - 0.7. Let y = m - 4. Which is bigger: y or -10?
y
Suppose -6*w = -2*m - w - 30, 0 = -5*m - w - 102. Let t be m/45 + (-4)/18. Are t and -13 nonequal?
True
Let n = -1.2 - -56.2. Let q = 58 - n. Which is bigger: q or -0.02?
q
Let u = 206 - 204. Is 38 less than or equal to u?
False
Let d be (-4 + -2 - -2)/(-4). Is d less than 1?
False
Suppose -2*i = 2*n - 14, 0*i + 2 = i + 2*n. Suppose 0 = 13*h - 513 - 59. Let f be (-33)/h - (-51)/4. Is i <= f?
True
Let f be (-254)/4*2 + 1. Let b be ((-2)/6)/((-70)/f). Do 0.3 and b have the same value?
False
Let u = 0.12 - -0.68. Let b = 1.1 - u. Let c = 13 + -13. Which is smaller: b or c?
c
Let x be 1/((-1)/10*2). Let h(p) = -p**3 + 17*p**2 + 18*p - 1. Let g be h(18). Is x > g?
False
Let d(l) = -2*l**2 + 13*l + 9. Let o be d(6). Suppose 2*c = 12 + 20. Are c and o non-equal?
True
Let w = 3415/2 + -1571. Does w = 138?
False
Suppose r = -2*r + 4*u + 76, -20 = -r - 4*u. Let c be (1/(-2))/(2/r). Let f(p) = -p**2 - 4*p - 2. Let o be f(-5). Which is bigger: o or c?
c
Let w = -1681 - -1666. Which is bigger: w or -0.28?
-0.28
Let d = -16865 - -9444397/560. Which is smaller: d or -1?
-1
Let d = -215 - -214. Are d and -82 equal?
False
Suppose -268*l = -271*l + 315. Is l >= 104?
True
Suppose -136 = -14*p - 696. Is -40 less than p?
False
Let r(g) = -g**2 - 21*g + 125. Let f be r(-32). Is -225 greater than or equal to f?
True
Let g be (1743492/(-1002))/((-2)/(-1)). Let j = -870 - g. Let v = j + -341/1169. Is -0.2 equal to v?
False
Let v = 1678 - 1721. Let u be (-6 - -9)*(-14 - 0). Which is bigger: u or v?
u
Let o = 9.05 - 9.05. Which is smaller: o or -1.1?
-1.1
Let h = -20 + 20. Which is greater: -94 or h?
h
Let d = 919 + -856. Is d bigger than 1/3?
True
Let g = 734 - 3664/5. Suppose -t = -3*t - 4. Which is bigger: t or g?
g
Let a = -26 - -23.7. Let z = a + 0.3. Is z equal to -2.5?
False
Let k be (14 - 6) + (-249)/31. Let i = 0 + 1. Let b be (0*(2 - 1))/i. Which is smaller: k or b?
k
Let x = 1.2 + -1.55. Let p = x + 2.45. Let l = p + -0.1. Which is smaller: l or 0.2?
0.2
Let a be 0*2/4 + (-984)/86756. Is 1 < a?
False
Let f = 83 - 83. Let m(o) = 2*o - 10. Let h be m(f). Which is smaller: h or -46/5?
h
Suppose 4*c = 5*c + 22. Let o = -15 - c. Suppose -4*x - 4*v + 16 = 0, 0*x = 4*x - 5*v - 43. Do x and o have different values?
False
Let m = -1.55 - -2.98. Let x = m + -0.83. Which is smaller: 5 or x?
x
Suppose 4*z - 2 = 2*b - 0*b, z + 1 = 2*b. Suppose 5*a = 2*k - 4*k + 18, 0 = -5*a - k + 19. Let w = -5 + a. Is w < z?
True
Let c = 203819/2630 + 3/1315. Is c < 77?
False
Suppose 5*a - 5*f = -225 - 545, 4*a + 3*f = -644. Which is greater: a or 1/2?
1/2
Suppose 0*k + 3 = 3*k. Suppose 3*x + 9*u - 46 = 13*u, 0 = 3*x + 2*u - 40. Is x at least k?
True
Suppose 5*i - 4*c - 1799 = 0, -11*i = -10*i + 3*c - 375. Do 362 and i have the same value?
False
Suppose 82 = 4*z - 4*m + 2*m, 5*m - 2 = z. Let j be z/((-7)/(14/40)). Let d = j - -3/4. Which is bigger: 0 or d?
0
Let f = 14.09 + -14.09. Let s = 2 - 1.8. Do f and s have the same value?
False
Suppose 12*t - 8*t = -24. Let y be 2/(((-24)/(-198))/((-4)/t)). Which is smaller: y or 8?
8
Let q = 3576/5 + -722. Suppose 0 = -5*b - 47 + 7. Which is smaller: b or q?
b
Let w = 23 - 43. Let a = -71 - -50. Let n = w - a. Is n < -0.1?
False
Let d(i) = -51*i**3 + 4*i**2 - 2*i - 1. Let c be d(1). Which is smaller: -49 or c?
c
Let a be (3 - -188) + 31 + -23. Is a at least 200?
False
Let r(w) = -11*w**3 + w**2 - 1. Let n be r(1). Let g = 1.5 + 9.5. Let t = 10 - g. Do t and n have the same value?
False
Let w be ((-2)/(-10))/(((-27)/(-5))/(-3)). Suppose -3*r - 6 = -6*r. Let u be 4/r - (-6 + 7). Which is bigger: w or u?
u
Let a = 4.4 + -4. Let x be 32/4*(-162)/8. Let v be (4/(-6))/1*x/378. Is v at most a?
True
Suppose -2*k = 3*p - 1, 0 = p + 5*k + 2 + 2. Let r be p/7 + (-44)/14. Let o(c) = c + 7. Let j be o(r). Which is greater: j or 5?
5
Let l = 638 - 892. Is -255 smaller than l?
True
Let t(h) = h + 2. Let o be t(2). Suppose -14 + 2 = -o*f. Which is smaller: 5 or f?
f
Let t(c) = -c**3 - 9*c**2 - 8*c + 2. Let u be t(-8). Let l be (-3 - -3) + 87/2. Let z = -42 + l. Which is bigger: u or z?
u
Let g be (5/(-21))/((-105)/126). Which is bigger: g or -0.21?
g
Let n be (-37)/5 - 16/(-40). Let f be ((-1)/n)/((-10)/(-35)). Let k be 8/(-14)*(-70)/20. Which is smaller: k or f?
f
Let z be 6/(-14) - (-28677)/(-462). Which is bigger: -62 or z?
-62
Let s = 159641/12 - 13094. Let p = -209 + s. Which is greater: p or -1?
p
Let v = -67.26 - 0.74. Let b = v - -69. Is -42 < b?
True
Let u be 3*(-3)/((-36)/(-4)). Is u >= 5/38?
False
Let v(q) = -q - 3. Suppose 0 = -5*h + h - 4. Let j be v(h). Let c(z) = z**3 + 4*z**2 - 3*z + 7. Let y be c(-5). Is j equal to y?
False
Let h(x) = x**2 - 11*x + 39. Let d be h(20). Is d less than or equal to 219?
True
Let w be (-7 + 1)*(-2)/4. Suppose -2*d - w*d + 10 = 0. Let l(p) = -2*p + 2.
|
{
"pile_set_name": "DM Mathematics"
}
|
)
Let m**2/4 - 173*m/4 - 1615/2 = 0. What is m?
-17, 190
Factor t**2 - 1300321*t/2 + 325080.
(t - 650160)*(2*t - 1)/2
Factor -q**2/3 - 3136*q/3 - 1045.
-(q + 1)*(q + 3135)/3
Determine t so that 2*t**2/3 - 82*t + 5320/3 = 0.
28, 95
Factor 36*h**3 - 43000*h**2 - 110172*h + 57456.
4*(h - 1197)*(h + 3)*(9*h - 4)
Factor -2*h**2 + 100*h - 282.
-2*(h - 47)*(h - 3)
Suppose -3*x**2 + 85659*x - 1284210 = 0. Calculate x.
15, 28538
Find u such that -3*u**2/2 - 14070*u - 32994150 = 0.
-4690
Factor 5*s**3/3 + 7256*s**2 + 7895979*s - 9478658/3.
(s + 2177)**2*(5*s - 2)/3
Factor -3*z**4/2 - 573*z**3 - 123327*z**2/2 - 1325922*z - 8031894.
-3*(z + 13)**2*(z + 178)**2/2
Factor p**4 - 9*p**3 - 21*p**2 - 11*p.
p*(p - 11)*(p + 1)**2
Suppose 2*f**5/15 + 81994*f**4/15 + 81992*f**3/15 = 0. Calculate f.
-40996, -1, 0
Let -3*x**4 + 9108*x**3 + 63903*x**2 = 0. What is x?
-7, 0, 3043
Factor -4*l**2 + 20112*l - 60300.
-4*(l - 5025)*(l - 3)
Find j such that -2*j**3 - 580*j**2 - 1726*j - 1148 = 0.
-287, -2, -1
Let -3*f**4/8 - 33*f**3/2 + 207*f**2/4 - 105*f/2 + 141/8 = 0. What is f?
-47, 1
Factor -2*w**3/13 - 8646*w**2/13 - 8644*w/13.
-2*w*(w + 1)*(w + 4322)/13
Let -g**3/2 + 1829*g**2/2 + 11005*g/2 + 9175/2 = 0. Calculate g.
-5, -1, 1835
Let -20*a**2 - 18168*a - 43488 = 0. Calculate a.
-906, -12/5
Suppose -4*m**3 - 15324*m**2 + 572320*m - 556992 = 0. What is m?
-3868, 1, 36
Factor 5*y**2 - 476640*y + 11359284480.
5*(y - 47664)**2
Suppose 405*s**3 + 3195*s**2 - 110350*s + 24360 = 0. Calculate s.
-21, 2/9, 116/9
Let -j**5/7 + 1842*j**4/7 - 1095888*j**3/7 + 187729280*j**2/7 + 13631542272*j/7 = 0. What is j?
-54, 0, 632
Let 5*n**2 - 20*n - 585 = 0. What is n?
-9, 13
Determine k so that -2*k**4/5 - 474*k**3/5 + 100*k**2 + 5712*k/5 = 0.
-238, -3, 0, 4
Factor 5*c**3 + 435*c**2 - 10890*c + 48600.
5*(c - 15)*(c - 6)*(c + 108)
Determine v, given that -16*v**3 + 2020*v**2 - 13858*v + 6426 = 0.
1/2, 27/4, 119
Factor -2*s**4/3 + 2000*s**3/3 - 591850*s**2/3 + 43565500*s/3.
-2*s*(s - 445)**2*(s - 110)/3
Let 219*i**2 + 417*i - 720 = 0. Calculate i.
-3, 80/73
Suppose 162*y**4 + 645660*y**3 + 358586*y**2 - 255032*y + 31880 = 0. What is y?
-3985, -1, 2/9
Factor 2*q**3 + 692*q**2 + 60770*q + 176136.
2*(q + 3)*(q + 164)*(q + 179)
Find v such that -3*v**2 - 963*v + 3900 = 0.
-325, 4
Factor b**3/2 - 151*b**2 + 4017*b/2 + 2160.
(b - 288)*(b - 15)*(b + 1)/2
Factor -5*f**2 + 47855*f - 143520.
-5*(f - 9568)*(f - 3)
Factor 3*v**2/5 + 591*v/5 + 27306/5.
3*(v + 74)*(v + 123)/5
What is p in -4*p**3 - 41796*p**2 - 83580*p - 41788 = 0?
-10447, -1
Solve -4*b**5 + 100*b**4 + 24*b**3 - 2880*b**2 = 0 for b.
-5, 0, 6, 24
Solve -4*l**5 - 188*l**4/5 + 128*l**3/5 + 2384*l**2/5 - 3456*l/5 = 0.
-8, -27/5, 0, 2
Find c such that -2*c**4 + 5702*c**3 - 4015164*c**2 - 70019352*c + 74028816 = 0.
-18, 1, 1434
Determine h, given that 2*h**4/13 + 6*h**3/13 - 354*h**2/13 + 1082*h/13 + 1440/13 = 0.
-16, -1, 5, 9
Find q, given that -4*q**4 - 1040*q**3 - 27996*q**2 + 91328*q - 62288 = 0.
-229, -34, 1, 2
Factor s**3/5 - 8*s**2 + 391*s/5 - 216.
(s - 27)*(s - 8)*(s - 5)/5
Find g such that -g**2/4 + 8581*g/4 - 25725/2 = 0.
6, 8575
Solve -p**3/3 + 1734*p**2 - 2193152*p - 486394720/3 = 0.
-70, 2636
Factor -2*y**2 - 9786*y - 675220.
-2*(y + 70)*(y + 4823)
Factor v**3 + 155*v**2 - 3521*v - 3675.
(v - 21)*(v + 1)*(v + 175)
What is k in -k**4/3 + 298*k**3 + 3*k**2 - 2682*k = 0?
-3, 0, 3, 894
Determine t, given that t**2/6 - 195209*t/6 + 97604/3 = 0.
1, 195208
Factor -m**2 - 7511*m.
-m*(m + 7511)
Find x, given that -5*x**4/3 + 2060*x**3 - 628220*x**2 - 15475360*x/3 = 0.
-8, 0, 622
Factor 2*c**3 - 18760*c**2 + 149934*c + 168696.
2*(c - 9372)*(c - 9)*(c + 1)
Solve -168*a**3 + 1989*a**2 + 330*a - 72 = 0.
-2/7, 1/8, 12
Solve -4*y**3/13 + 7990*y**2/13 + 3696*y + 72126/13 = 0 for y.
-3, 4007/2
Suppose a**5 - 74*a**4 + 933*a**3 + 16884*a**2 + 15876*a = 0. Calculate a.
-9, -1, 0, 42
Suppose -n**3/3 + 564*n**2 - 61271*n/3 + 19860 = 0. What is n?
1, 36, 1655
Factor -3*v**2/4 - 3015*v/4 - 3003.
-3*(v + 4)*(v + 1001)/4
Factor -i**3/3 + 794*i**2/3 + 3991*i/3 + 3196/3.
-(i - 799)*(i + 1)*(i + 4)/3
Factor -w**5 - 444*w**4 - 68160*w**3 - 3952144*w**2 - 51539184*w.
-w*(w + 18)*(w + 142)**3
Factor 12*z**2 + 2832020*z - 944008.
4*(z + 236002)*(3*z - 1)
Factor j**4/3 - 47*j**3/3 - 97*j**2/3 - 49*j/3.
j*(j - 49)*(j + 1)**2/3
Let 3*y**2 - 558960*y + 26036356800 = 0. Calculate y.
93160
Solve -4*n**3 + 40*n**2 - 36*n = 0 for n.
0, 1, 9
Find j, given that -3*j**4 - 54*j**3 + 216*j**2 + 582*j + 315 = 0.
-21, -1, 5
Find m such that 3*m**3 - 282*m**2 + 3315*m + 3600 = 0.
-1, 15, 80
Determine i, given that 5*i**4 - 3855*i**3 - 192230*i**2 = 0.
-47, 0, 818
Suppose -2*q**4 - 8*q**3 + 184*q**2 - 192*q - 1152 = 0. What is q?
-12, -2, 4, 6
Suppose 3*q**2 - 75*q - 9798 = 0. What is q?
-46, 71
Factor j**2 + 2552*j - 7665.
(j - 3)*(j + 2555)
Factor -5*l**4 + 140*l**3 - 975*l**2 - 140*l + 980.
-5*(l - 14)**2*(l - 1)*(l + 1)
Let -2*w**3/7 - 228*w**2 + 1602*w/7 + 3196/7 = 0. Calculate w.
-799, -1, 2
Suppose -53792*x**3/13 - 154160*x**2/13 + 512750*x/13 - 306250/13 = 0. Calculate x.
-5, 175/164
What is a in -a**2 + 344*a - 4303 = 0?
13, 331
Determine s so that -4*s**5 - 20*s**4 + 2208*s**3 - 16704*s**2 = 0.
-29, 0, 12
Solve 3*v**3 - 83322*v**2 + 166635*v - 83316 = 0.
1, 27772
Let 2*x**3/3 - 3052*x**2/3 + 389128*x - 774192 = 0. What is x?
2, 762
What is c in -24*c**4 - 940*c**3 - 3792*c**2 - 1664*c = 0?
-104/3, -4, -1/2, 0
What is m in -7*m**3 + 6292*m**2 + 7199*m + 900 = 0?
-1, -1/7, 900
Find m such that 11602*m**3 - 23198*m**2 + 11590*m + 6 = 0.
-3/5801, 1
Solve 3*d**4/2 + 5412*d**3 + 5392824*d**2 + 922204800*d + 43554240000 = 0.
-1704, -100
Factor 5*u**2 + 2520*u + 39040.
5*(u + 16)*(u + 488)
Factor 3*p**2 - 2793*p + 27630.
3*(p - 921)*(p - 10)
Find w such that 5*w**4/2 - 50*w**3 - 5*w**2/2 + 50*w = 0.
-1, 0, 1, 20
Solve 22*w**2 - 6626*w/7 + 172/7 = 0 for w.
2/77, 43
Let -5*k**5/3 + 5910*k**4 - 15646550*k**3/3 - 42026060*k**2 - 205145765*k/3 - 31577290 = 0. What is k?
-6, -1, 1777
Factor -3*r**4/7 - 24*r**3 - 324*r**2/7.
-3*r**2*(r + 2)*(r + 54)/7
Solve 5*v**3/3 + 11570*v**2 - 69440*v/3 = 0.
-6944, 0, 2
Factor -z**2/4 + 2597*z/4 - 649.
-(z - 2596)*(z - 1)/4
Let -b**4/5 - 7699*b**3/5 + 7706*b**2/5 + 9240*b = 0. Calculate b.
-7700, -2, 0, 3
Factor m**5 + 53*m**4 + 970*m**3 + 6698*m**2 + 10693*m + 4913.
(m + 1)**2*(m + 17)**3
Factor o**3/4 + 1975*o**2/2 + 4075977*o/4 + 85583943.
(o + 92)*(o + 1929)**2/4
Factor -3*s**3 + 55989*s**2.
-3*s**2*(s - 18663)
Factor -3*a**2/2 - 147*a/2 + 9309.
-3*(a - 58)*(a + 107)/2
Factor 4*q**3 - 724*q**2 + 8156*q - 7436.
4*(q - 169)*(q - 11)*(q - 1)
What is o in 46*o**5/3 + 1330*o**4/3 - 150904*o**3/3 + 2402168*o**2/3 - 1464704*o + 121344 = 0?
-79, 2/23, 2, 24
Factor 5*f**4 - 3215*f**3 + 28650*f**2 - 76160*f + 50720.
5*(f - 634)*(f - 4)**2*(f - 1)
Factor 3*i**2 - 22854*i + 43525443.
3*(i - 3809)**2
Factor -4*r**3 - 415220*r**2.
-4*r**2*(r + 103805)
Solve 4*d**4 + 56*d**3 - 7764*d**2 + 7576*d + 15392 = 0 for d.
-52, -1, 2, 37
Let 2*l**4/5 + 198*l**3/5 + 1478*l**2/5 + 1962*l/5 - 728 = 0. What is l?
-91, -5, -4, 1
Determine g, given that -3*g**4 + 45*g**3 - 141*g**2 + 99*g = 0.
0, 1, 3, 11
Find v, given that -3*v**3 + 720*v**2 + 39204*v + 75504 = 0.
-44, -2, 286
Factor -2*j**2/3 - 53699*j/3 + 26851.
-(j + 26851)*(2*j - 3)/3
Determine n so that -2*n**5/5 + 4818*n**4/5 + 5802*n**3 - 72362*n**2/5 - 212688*n/5 + 81144 = 0.
-7, -3, 2, 2415
Solve -691321849*i**5/4 - 691952881*i**4/4 - 157794*i**3 - 36*i**2 = 0.
-1, -12/26293, 0
Let -u**4/4 - 309*u**3/4 + 783*u**2/2 - 314*u = 0. Calculate u.
-314, 0, 1, 4
Let 5*k**5 - 180*k**4 + 535*k**3 + 3880*k**2 - 17040*k + 12800 = 0. What is k?
-5, 1, 4, 32
Solve -1830*p**3 - 12805*p**2 + 32975*p - 90 = 0 for p.
-9, 1/366, 2
Find k, given that 6*k**5/11 - 552*k**4/11 + 3138*k**3/11 - 3576*k**2/11 - 3144*k/11 + 4128/11 = 0.
-1, 1, 2, 4, 86
Suppose d**3/3 - 1649*d**2 + 2063101*d - 175353749/3 = 0. Calculate d.
29, 2459
Let y**3/3 + 239*y**2/3 + 1212*y - 10212 = 0. Calculate y.
-222, -23, 6
Determine g, given that -73441*g**3/4 + 8401*g**2 - 961*g = 0.
0, 62/271
Suppose -3*s**4/7 + 681*s**3/7 - 1638*s**2 + 37788*s/7 - 5016 = 0. Calculate s.
2, 14, 209
Determine n, given that -3*n**4 - 54*n**3 + 3639*n**2 - 10350*n = 0.
-46,
|
{
"pile_set_name": "DM Mathematics"
}
|
.
40*p**4
Let v(m) = m. Let j(q) be the first derivative of 29/2*q**2 - 21 + 0*q. Give j(v(o)).
29*o
Suppose -4*b = 4*k - 368, 5*b + 0*k = k + 442. Let c(z) = 89*z + z**2 - b*z. Let x(u) = 4*u**2. Calculate x(c(v)).
4*v**4
Let b(x) be the third derivative of -7*x**4/12 - 117*x**2 - 18*x. Let n = 5 + -3. Let j(a) = n*a - 3*a + 0*a. What is j(b(q))?
14*q
Let j(v) = v. Let d(b) = -6*b**2 + b**2 - 11*b**2 + 28*b + 6*b**2 + 21*b. Calculate d(j(c)).
-10*c**2 + 49*c
Let x(z) = 17*z. Let v(r) = -154*r**2. Determine x(v(h)).
-2618*h**2
Let w(v) = v**2 - 6*v. Let y(t) = 2*t**2 - 7*t. Let j(h) = -7*w(h) + 6*y(h). Let f(k) be the first derivative of k**3 - 853. Determine j(f(x)).
45*x**4
Let l(n) = -n. Let j(i) = 791*i + 33. Give l(j(p)).
-791*p - 33
Let u(h) = 3*h. Suppose -3*w + 808 = 5*w. Let n(q) = w - 13*q - 101. Determine u(n(a)).
-39*a
Let x(n) be the first derivative of 485*n**2/2 - 623. Let i(l) = -3*l. What is x(i(r))?
-1455*r
Let f(p) = -274*p**2 + 8145. Let w(x) = 2*x. Determine w(f(b)).
-548*b**2 + 16290
Let s(o) = -2*o**2 - 29*o. Let t(y) = -2209*y. Give s(t(u)).
-9759362*u**2 + 64061*u
Let t(j) = j. Let l(m) = -3*m. Let s(n) = -2*l(n) - 7*t(n). Let h(f) = -130*f + 45. Let u(c) = -3*c + 1. Let b(d) = -5*h(d) + 225*u(d). What is s(b(a))?
25*a
Let m(v) = 17*v**2 + 8. Let x(a) = 52*a**2 + 26. Let s(q) = 13*m(q) - 4*x(q). Let h(w) = 8*w**2. What is s(h(n))?
832*n**4
Let o(m) be the first derivative of -11*m**2/2 - 150. Let g(p) = -9*p. Give o(g(h)).
99*h
Let x(y) = 5*y + 7. Let r(j) = -4*j - 6. Let o(v) = 7*r(v) + 6*x(v). Let l(z) be the first derivative of -87*z**2/2 + 67. Give l(o(f)).
-174*f
Let b(a) = -41*a. Let u(d) = 12*d - 560. Give u(b(q)).
-492*q - 560
Let k(l) = l. Let r(g) = -2030*g + 67. Determine r(k(o)).
-2030*o + 67
Let t(g) = 3*g + 3*g - 4*g - g. Let w(r) = 1. Let b(h) = h**2 - 9. Let y(m) = b(m) - 2*w(m). Let a(j) be the first derivative of y(j). Give a(t(x)).
2*x
Let x(b) = 2*b**2. Let w(h) = -3*h - 4244. Calculate x(w(q)).
18*q**2 + 50928*q + 36023072
Let d(y) = 29*y**2. Let p(w) = 30*w - 44*w + 24*w. What is d(p(q))?
2900*q**2
Let k(a) = a. Let m(w) = 26*w - 19*w - 30*w - 16*w. What is k(m(i))?
-39*i
Let b(v) = -208*v. Let r(m) be the second derivative of -m**3/3 + 131*m. Determine b(r(s)).
416*s
Let j(f) = -3*f + 10. Let i(l) = l - 5. Let u(h) = 2*i(h) + j(h). Let p = 1 - 1. Let q(d) = p - 13*d + 0. Determine u(q(y)).
13*y
Let l(w) be the first derivative of -3*w**3 + 2. Let s(v) = v**3 + 12*v**2 + 31*v + 5. Let h be s(-7). Let j(f) = 33 - f - h. Determine j(l(o)).
9*o**2
Let j(l) = -2*l - 89. Let q(m) = -21. Let v(x) = j(x) - 3*q(x). Let b(h) = 13*h. Determine b(v(k)).
-26*k - 338
Let z(j) = -j + 17. Let h(f) = 96*f**2. Give h(z(p)).
96*p**2 - 3264*p + 27744
Let b(h) = -8*h**2. Let z(l) = -10*l**2 + 4*l - 2. Let f(m) = -39*m**2 + 18*m - 9. Let u(x) = -2*f(x) + 9*z(x). Calculate u(b(n)).
-768*n**4
Let b(a) = 6*a**2. Let p(d) = -5*d + 7. Let w(g) = -g + 15. Let c be w(8). Let q(n) = 2*n - 3. Let o(u) = c*q(u) + 3*p(u). Calculate o(b(f)).
-6*f**2
Let l(q) = 3*q**2. Let m(h) = -3*h**2 - 5. Let s(n) = n. Let y be s(-6). Let f(i) = i**2 + 2. Let r(v) = y*m(v) - 15*f(v). Determine l(r(b)).
27*b**4
Let d(j) = 108*j**2. Let a(u) be the first derivative of u**3/3 + 192. Give a(d(v)).
11664*v**4
Let q(l) = 2*l. Let n(w) be the third derivative of -11/24*w**4 - 5*w**2 + 0*w + 0 + 0*w**3. Calculate q(n(g)).
-22*g
Let o(s) be the second derivative of s**3/2 - 46*s. Let q(i) = i + 3. Give q(o(k)).
3*k + 3
Let j(h) = -22113*h + 22113*h - 2*h**2. Let g(m) = 15*m**2 - 3*m. Give g(j(y)).
60*y**4 + 6*y**2
Let s(p) = -419*p. Let k(n) = 187*n + 203*n - 390*n + 2*n**2 + n**2. Determine k(s(i)).
526683*i**2
Suppose 0 = q - 0*q - 2. Let n(x) = -120 - 124 - 12*x**q + 244. Let a(i) = -3*i. Calculate n(a(g)).
-108*g**2
Let c(j) = -1948*j**2 - 12. Let r(d) = 2*d. Calculate r(c(g)).
-3896*g**2 - 24
Let s(u) = -u**2. Let m(z) be the second derivative of -5*z**4/3 + 10*z. Let j(k) = 4*m(k) - 72*s(k). Let w(r) = 2*r**2. Determine w(j(h)).
128*h**4
Let m(l) be the third derivative of 0 - 7/60*l**5 - 37*l**2 + 0*l**4 + 0*l**3 + 0*l. Let w(q) = 5*q**2. What is w(m(z))?
245*z**4
Let b(u) = -8*u**2 - 1. Let w(l) be the third derivative of l**5/60 + 20*l**2 + l. What is w(b(k))?
64*k**4 + 16*k**2 + 1
Let g(c) = 7*c. Let q(r) be the third derivative of r**4/8 - r**2 - 2*r. Calculate q(g(l)).
21*l
Let o(h) = 9*h. Let r(q) be the first derivative of q**2/2 + 38. Calculate o(r(w)).
9*w
Let h(t) = -2*t - 34. Let j(o) = -2*o**2 + 38*o - 8. Determine h(j(n)).
4*n**2 - 76*n - 18
Let h(q) = q**2. Let d(g) = 96021*g. Give h(d(y)).
9220032441*y**2
Let x(c) be the first derivative of -c**3 + 5*c**2/2 - 9. Let t(j) = 2*j**2 - 3*j. Let o(a) = 5*t(a) + 3*x(a). Let g(p) = 4 - 4 - p. Determine o(g(z)).
z**2
Let l(d) = d + 0 + 0. Let h(y) = -3*y. Let a(z) = 5*h(z) + 12*l(z). Let w(u) = u + 5*u - 5*u. Give a(w(n)).
-3*n
Let o(z) = -15872*z - 12. Let v(c) = -13*c**2. What is o(v(m))?
206336*m**2 - 12
Let u(h) be the third derivative of 0 + 0*h**4 + 2/15*h**5 + 0*h + 27*h**2 + 0*h**3. Let t(x) = 8*x. Give t(u(l)).
64*l**2
Let c(m) = -4*m. Let q(g) = 4*g**2 - 20*g**2 + 288 - 288. What is q(c(d))?
-256*d**2
Let l(c) be the first derivative of -59*c**3/3 + 254. Let a(n) = 4*n. Calculate l(a(v)).
-944*v**2
Let u(p) = -4*p + 0*p + 3*p - 2*p. Let i(n) be the second derivative of -7*n**3/6 + n - 10. Give i(u(l)).
21*l
Let t(o) = -3*o. Let l(j) be the third derivative of 0*j**3 + 15*j**2 - 11/12*j**4 + 0*j + 0. Give t(l(v)).
66*v
Let j(d) = -458*d. Let q(y) = -6*y**2 + 4*y - 4. Let s(r) = -r**2 + r - 1. Let g(l) = q(l) - 4*s(l). Determine j(g(k)).
916*k**2
Let w(y) = 2*y. Suppose -7*x - 17*x = 0. Let t(i) be the second derivative of 1/6*i**4 + 0*i**3 + 0*i**2 - 4*i + x. What is w(t(m))?
4*m**2
Let w(f) = -13631*f. Let h(t) = -6*t**2. Calculate h(w(l)).
-1114824966*l**2
Let s(n) = -19 + 33 + n - 14. Let l(f) = -3*f + 13. Calculate s(l(u)).
-3*u + 13
Let q(b) = 9*b. Let d(t) = -t. Let j be (-76)/(-18) + 6/(-27). Let p(s) = -4*s. Let i(y) = j*p(y) - 14*d(y). Give i(q(l)).
-18*l
Let n(t) = 11*t**2 - 15*t. Let z(k) = -2*k - 4. Let m(y) = 2. Let l(c) = -2*m(c) - z(c). Give l(n(j)).
22*j**2 - 30*j
Let p(d) be the third derivative of -d**5/60 + 2*d**2. Let z(x) = -x + 7. Let m be z(5). Let r(o) = 5*o - m*o + 0*o - 4*o. Calculate p(r(j)).
-j**2
Let z(m) = 1. Let a(w) = 5*w**2 - 6. Let x(j) = -a(j) - 6*z(j). Let p(b) = 15*b - 43*b + 21*b. Calculate p(x(g)).
35*g**2
Let y(f) = 3*f**2. Let q(b) be the third derivative of b**8/4032 + b**5/12 - 13*b**2. Let a(d) be the third derivative of q(d). Give y(a(t)).
75*t**4
Let t(m) = -m + 80. Let h(g) = -272*g. Calculate h(t(y)).
272*y - 21760
Let x(r) = 3*r**2 - 2323. Let n(z) = 2*z**2. What is x(n(y))?
12*y**4 - 2323
Let t(n) = -2*n**2 - 24*n. Let c(l) = l - 36. Calculate c(t(p)).
-2*p**2 - 24*p - 36
Let z(n) = -36*n. Let f = -84 - -79. Let c(v) = -2*v + 2. Let o(a) = -6*a + 5. Let t(r) = f*c(r) + 2*o(r). Give t(z(p)).
72*p
Let i(x) be the third derivative of 11*x**5/20 + 2*x**2. Let y(m) = -5*m - 4. Let f(j) = 6*j + 5. Let z(k) = -4*f(k) - 5*y(k). Calculate i(z(a)).
33*a**2
Let a(b) = 2*b**2. Let f(u) = -35347*u. Calculate f(a(p)).
-70694*p**2
Let q(w) be the third derivative of -13*w**6/360 - 2*w**3/3 - w**2. Let l(o) be the first derivative of q(o). Let s(y) = y. What is s(l(v))?
-13*v**2
Let i(r) = -r + 2. Let n(f) = 27*f - 42. Let l(k) = -63*i(k) - 3*n(k). Let v(t) = -7*t**2. Give v(l(h)).
-2268*h**2
Let u(a) = -10*a**2. Suppose -20*x = -10 - 50. Let c(j) be the first derivative of -2 + 1/3*j**x + 0*j + 0*j**2. Give c(u(y)).
100*y**4
Let k(o) = o**2. Let f(m) = 73*m + 25 - 26 - 213*m. Give k(f(l)).
19600*l**2 + 280*l + 1
Let p(o) = 8814*o**2. Let r(y) = 13*y. What is p(r(v))?
1489566*v**2
Let o(m) be the third derivative of -m**8/10080 + m**5/60 - 21*m**2. Let b(z) be the third derivative of o(z). Let v(w) = -3*w. Give v(b(q)).
6*q**2
Let r(l) = 2*l**2. Suppose -6*q = -4*q - o + 16, 0 = -5*q + 3*o - 39. Let c be q/(-36) - (-59)/4. Let z(a) = 33 - c - a - 18. Determine z(r(j)).
-2*j**2
Let p(a) = 72*a. Let w be (-30)/(-40) + 2/8. Let m(h) = h. Let s(y) = w*p(y) - 15*m(y). Let x(k) = 2*k**2. Calculate x(s(i)).
6498*i**2
Let w(h) = 76 + 2*h**2 + 60 - 1
|
{
"pile_set_name": "DM Mathematics"
}
|
8. Let c(a) = -204*l(a) + 3*q(a). Determine c(m(i)).
-24480*i
Let m be 1/(-2) - (-3 - 2/4). Let y(f) = -m*f - 7*f + 25*f. Let j(d) = -d + 2. Let v(r) = -3*r + 7. Let o(n) = 7*j(n) - 2*v(n). Give y(o(l)).
-15*l
Let s(o) = -21*o - 7746. Let m(p) = 100*p - 2. What is m(s(g))?
-2100*g - 774602
Let x(l) = -5*l. Let c = -139 - -146. Suppose c*n - 397 + 26 = 0. Let y(v) = 53 - 4*v - 106 + n. Calculate x(y(j)).
20*j
Let m(n) = -38*n**2. Let v(g) = -187*g**2 + 253 + 20*g**2 - 512 + 259. Calculate m(v(q)).
-1059782*q**4
Suppose -8*y - 125 + 141 = 0. Let g(u) = -1095 + 1095 - 34*u**y. Let r(i) = -2*i**2. Calculate r(g(k)).
-2312*k**4
Let g(c) = c**3 + 33*c**2 + 89*c - 27. Let a be g(-30). Let y(n) = -46*n + 93*n - 2*n**2 - 47*n - a*n**2. Let u(o) = -35*o - 1. Calculate y(u(v)).
-6125*v**2 - 350*v - 5
Let y(g) be the second derivative of 1/6*g**3 - 6*g + 2 + 0*g**2. Let t(q) = -q**2 - 2*q**2 + 7*q**2. Determine y(t(a)).
4*a**2
Let x(v) = -2*v. Let m(f) = -f**2 - 26*f - 125. Let j be m(-7). Let b(p) = -1. Let w(l) = 8*l - 8. Let d(g) = j*b(g) - w(g). Calculate d(x(u)).
16*u
Let r(k) = 1122*k + 1112*k - 2233*k. Let x(w) = 420*w**2 - w. Determine x(r(b)).
420*b**2 - b
Let m(k) = -1 + k**2 + 0 + 1. Let i(p) be the first derivative of -p**3 + 9/2*p**2 + 27 + 0*p. Give i(m(w)).
-3*w**4 + 9*w**2
Let o(f) be the third derivative of -f**5/20 + 5*f**2 + 10*f. Let d(k) be the third derivative of -k**5/3 + 10*k**2. Determine o(d(n)).
-1200*n**4
Let q(f) = -2*f. Let z(n) = -285255 + 3811*n + 142625 + 142630. Give q(z(v)).
-7622*v
Let q(b) = -2. Let j(a) = -a - 7. Suppose 2*k - 5 = 2*t - k, 0 = -3*t + 4*k - 6. Let c(g) = t*j(g) - 7*q(g). Let p(v) = 3*v + 16. Calculate c(p(u)).
-6*u - 32
Let v(o) = o - 7. Let q(y) = -1589*y**2 - 7*y + 49. Let t(u) = -q(u) - 7*v(u). Let d(c) = -c**2. Determine t(d(s)).
1589*s**4
Let j(d) = -17*d**2. Let a(h) = 261*h**2 - 4358*h - 1. Give a(j(q)).
75429*q**4 + 74086*q**2 - 1
Let r(t) be the third derivative of -t**4/12 - 149*t**2. Let i(z) = -58*z**2 + 5*z. What is i(r(h))?
-232*h**2 - 10*h
Let s(p) = 4*p - 5. Let z(l) = -144*l + 192. Let w(q) = -192*s(q) - 5*z(q). Let h(o) = 91*o**2. Calculate w(h(t)).
-4368*t**2
Let u(p) = -5*p. Let c = -3207 + 3207. Let s(b) be the third derivative of 5/24*b**4 + 0*b**3 + c - 12*b**2 + 0*b. Determine s(u(l)).
-25*l
Let r(x) be the third derivative of x**4/8 - x**2. Let a(q) = 3309*q - 3 - 1641*q - 1671*q. What is r(a(s))?
-9*s - 9
Let g(a) = -7972425*a. Let f(j) = 3*j**2. Calculate g(f(b)).
-23917275*b**2
Let g(h) = 1234622*h. Let a(w) = -2*w. Give g(a(c)).
-2469244*c
Let m(j) = -17*j + 0*j + j**2 - 4*j**2 + 8*j + 1108 + 10*j. Let w(l) = 2*l. What is w(m(c))?
-6*c**2 + 2*c + 2216
Suppose -3217 = -179*r + 1974. Let o(t) be the second derivative of 0*t**2 - 3/2*t**3 - r*t + 0. Let g(a) = -a. What is o(g(h))?
9*h
Let b(f) = 441*f - 1252*f - 980*f - 472*f. Let z(n) = -4*n. Calculate z(b(t)).
9052*t
Let o(c) = -7*c**2. Let a(d) = -18*d + 55*d + 13*d + 81*d - 11*d. Give a(o(h)).
-840*h**2
Let q(r) = -r**2 + 2. Let h(c) = -2*c**2 + 5. Let n(w) = 2*h(w) - 5*q(w). Suppose 8*t = 7*t + 2. Let s(d) = t*d + 227*d**2 - 230*d**2 - 2*d. Calculate s(n(a)).
-3*a**4
Let c(h) be the first derivative of -49*h**2/2 - 15*h + 1. Let n(g) = -73*g - 24. Let a(t) = -8*c(t) + 5*n(t). Let o(x) = 2*x. What is a(o(w))?
54*w
Let a(w) = -31801 - 31807 + 2*w + 63608. Let g(c) = 4*c - 7. Determine g(a(r)).
8*r - 7
Let q(f) = 164362*f + 1. Let x(v) = 19*v. Calculate q(x(p)).
3122878*p + 1
Let v(f) = 2*f**2 + 16 - 17 - 31 - 33. Let q(u) = 3*u**2. Calculate q(v(a)).
12*a**4 - 780*a**2 + 12675
Let z(t) = -4*t + 3. Let x(w) = -253*w + 5 - 7 + 256*w. Let o be (1 + 2)*(-4)/6. Let g(u) = o*z(u) - 3*x(u). Let b(q) = -8*q. Calculate g(b(c)).
8*c
Let i(l) = -9*l**2 - 4*l + 4. Let w(t) = -7*t**2 - 3*t + 3. Let f(j) = -3*i(j) + 4*w(j). Let h(k) = -15950*k**2. Give f(h(p)).
-254402500*p**4
Let r(d) = 29*d - 36. Let m(z) = z - 1. Let k(x) = 6*m(x) + r(x). Let h(s) = -8*s + 10. Let n(j) = -21*h(j) - 5*k(j). Let t(w) = -11*w. Calculate t(n(f)).
77*f
Let o(r) = -136*r + 795. Let j(h) = 3*h**2 + 3*h. Calculate o(j(f)).
-408*f**2 - 408*f + 795
Let l(v) = -21*v. Let f(w) be the first derivative of -w**4/12 + 15*w**2/2 - w + 65. Let c(b) be the second derivative of f(b). Give l(c(d)).
42*d
Let d(c) = 2*c**2. Let y be (-7)/(-21) - (-2824)/6. Let o = y - 327. Let x(w) = -144 - 3*w + o. Determine d(x(i)).
18*i**2
Let m(r) = -52*r - 39*r + 190*r - 52*r - 49*r. Let c(b) be the third derivative of 13*b**4/12 - b**2. Determine m(c(a)).
-52*a
Let b(k) = 188*k. Let f(s) = 4860750*s. Calculate f(b(d)).
913821000*d
Let b(d) = 61*d**2 + 6*d + 6. Let w(z) = -117*z**2 - 11*z - 11. Let s(k) = -11*b(k) - 6*w(k). Let r(f) = 25*f. Determine r(s(u)).
775*u**2
Let j(z) = z - 3 - 4 + 7. Let k(s) = -4469*s - 9 + 2234*s + 2221*s. Determine j(k(l)).
-14*l - 9
Let b(a) = -35*a**2. Suppose -d + 4*t = -16, 6*d - 11*d = 7*t + 28. Let v(m) be the second derivative of 1/6*m**3 + d*m**2 + 0 + 21*m. What is v(b(q))?
-35*q**2
Let v(w) = -307*w**2 + 8. Let p(t) be the third derivative of -t**4/24 + 2885*t**2. Give v(p(l)).
-307*l**2 + 8
Let m(p) = -10*p**2. Let x(q) = -557*q + 2. Determine m(x(r)).
-3102490*r**2 + 22280*r - 40
Let c(m) = -11*m**2. Let y(l) be the second derivative of -89*l**3 + 57*l - 1. What is y(c(t))?
5874*t**2
Let m(w) = 2083*w. Let q(x) = 2*x**2 + 2*x + 947. Calculate m(q(f)).
4166*f**2 + 4166*f + 1972601
Let y(u) be the first derivative of 2/3*u**3 - 241 + 0*u + 0*u**2. Let f(v) = 278*v. Give f(y(o)).
556*o**2
Let n(t) = t. Let w(d) = 36*d**2 + 4565*d - 6. Determine n(w(j)).
36*j**2 + 4565*j - 6
Let j(y) = -214*y - 402. Let u(t) = -38*t**2 - 2*t. Determine j(u(f)).
8132*f**2 + 428*f - 402
Let j = -30 - -27. Let v be -1 - -2 - (-2)/(-6)*j. Let l(n) = -22*n**v - 27*n**2 + 35*n**2. Let w(k) = -2*k**2. Determine l(w(f)).
-56*f**4
Let i(u) = u**2. Suppose -3*s - 2*s = -90. Let z be (4/12)/((-3)/s*-1). Let f(m) = -7*m - 2 + 5*m + z. Calculate f(i(n)).
-2*n**2
Let k(q) = 10803*q + 5. Let d(h) = -12*h**2 - 3*h. Calculate k(d(o)).
-129636*o**2 - 32409*o + 5
Let y(b) = 2*b + 2808. Let j(d) = -51231*d**2. What is y(j(g))?
-102462*g**2 + 2808
Let k(c) = 6342*c. Let h(a) = 46036*a**2. What is h(k(x))?
1851612298704*x**2
Let j = -159 + 52. Let g = j - -51. Let x(o) = -4*o**2 + 14. Let m(y) = -1. Let s(f) = g*m(f) - 4*x(f). Let a(c) = -c**2. What is a(s(z))?
-256*z**4
Let a(b) = -2*b. Let n(f) = 4019*f**2 + 1085*f + 20. Determine a(n(m)).
-8038*m**2 - 2170*m - 40
Let f(k) be the third derivative of 1 - 166*k**2 + 0*k**4 + 0*k**3 + 3/10*k**5 + 0*k. Let w(c) be the third derivative of -c**4/8 + 2*c**2. What is f(w(r))?
162*r**2
Let z(n) be the first derivative of n**2 - 2239. Let d(j) be the second derivative of -j**3/6 + j. Give z(d(p)).
-2*p
Let l(g) be the second derivative of -g**3/6 - 21*g. Let k(o) = 10*o**2 + 5*o. Let v(p) = 10*p**2 + 4*p. Let d(n) = 4*k(n) - 5*v(n). Calculate l(d(f)).
10*f**2
Let z(f) = 2*f - 1. Let i(n) = 377*n - 59*n - 123*n - 142*n. Give z(i(d)).
106*d - 1
Let k(n) = -5*n - 106 + 45 + 61 + 102*n. Let j(q) = 13*q. What is j(k(r))?
1261*r
Let g(t) = -6*t**2 + 6*t - 19. Let k(i) = 1742*i**2 - 4*i + 4*i - 1743*i**2. Calculate g(k(p)).
-6*p**4 - 6*p**2 - 19
Let k = -25 - -27. Let a(o) = -13*o**2 - 15*o**2 + 32*o**k. Let z(r) = 2*r**2. Determine z(a(y)).
32*y**4
Let o(n) = n - 579. Let x(b) = 251*b**2 + b. Give x(o(m)).
251*m**2 - 290657*m + 84144912
Let a(p) = -136*p**2. Let h(f) = 1884091*f + 37 - 1884093*f - 1. What is a(h(s))?
-544*s**2 + 19584*s - 176256
Let p(j) = j. Let o(s) = -2*s. Let i(b) = -3*o(b) - 4*p(b). Let d(y) = -345*y. Calculate i(d(v)).
-690*v
Let s(h) = -5*h. Suppose -269*o + 1004 = 81 + 116. Let f(b) be the third derivative of -2*b + 0 - 17*b**2 + 0*b**o + 1/30*b**5 + 0*b**4. Give s(f(w)).
-10*w**2
Let f(w) = -1143*w + 10. Let u(m) = 5*m**2 - 24. Calculate u(f(x)).
6532245*x**2 - 114300*x + 476
Let t(b) = -42 + 42 + 26604*b**2 - 27142*b**2. Let x(q) = -q**2. What is t(x(y))?
-538*y**4
Let z(j) = -7*j**2. Let i = -185 + 187. Let m(q) = -12*q**2 + 0 + 0 + 8*q**i. Determine m(z(v)).
-196*v**4
Let p(g) = 13*g**2 - 2651*g + 32. Let m(y) = 19*y**2. What is p(m(d))?
4693*d**4 - 50369*d**2 + 32
Let v(z) = -2035624*z. Let q(k) = -k + 52. What is q
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 174. Suppose 5*j + 4056 = v*b, 4*b = 4*j + 1940 + 2112. Is b a prime number?
True
Let o be (10 + -2)*(7/(-2) - -4). Is 199236/(-9)*((-55)/10 + o) a prime number?
False
Suppose -3*u - 22 + 34 = 0. Suppose u*g - 5*a = 2725, 3*a = 3*g - 740 - 1300. Suppose 2*m = -x + g, -2424 = -5*m - 4*x - 735. Is m composite?
False
Suppose -1008*x + 1016*x + 15381 = 97229. Is x a composite number?
True
Suppose 572 - 50 = 9*q. Let g = 52 - q. Is 3*((-8)/(-4))/g - -1362 a prime number?
True
Suppose 3*l = -63721 + 6985. Let c = 33925 + l. Is c a prime number?
True
Let p(w) = w**3 + 10*w**2 - 3*w - 10. Let x be p(-10). Suppose -3*b + 32 = x. Suppose 3*f - 5138 = -5*c, -5*c - f + 1028 = -b*c. Is c a prime number?
False
Let a(h) = 171*h - 59. Let k(c) = c + 2. Let r(u) = a(u) - 3*k(u). Is r(24) prime?
True
Suppose -541*c + 227810950 = -247970959. Is c prime?
True
Let h(o) = -178*o - 9. Let q = -48 + 44. Let u be h(q). Let g = u - 230. Is g prime?
False
Let g = -12209 + 12473. Let n = 264 - 83. Suppose 0 = -b - f + n + 87, 5*f = -b + g. Is b prime?
True
Suppose -4 = u, -15868 = -x - 2*u + 4*u. Suppose 4*j = -g - 3*g + x, 2*g - 2*j - 7938 = 0. Is g composite?
False
Suppose 3*r = -11798 + 22292. Suppose -h = -0*h. Suppose -2*n - 4*n + r = h. Is n a composite number?
True
Let s be (-10)/(-10) + -2 + 3. Let v be 5578/9 - 26/(-117). Suppose -5*l + v = 3*h, -s*h + 257 = 3*l - 114. Is l prime?
True
Suppose -4*z + 7*z + 4*j - 5215 = 0, -5*z + 3*j = -8740. Suppose 7*c = 6*c + z. Is c a prime number?
False
Suppose 3*w = 4*g + 5*w - 42, -7 = g + 4*w. Is (23703/(-6))/(g/(-26)) a prime number?
True
Let b(l) = -106704*l**3 + l**2 - l - 3. Is b(-1) prime?
True
Let i(s) = -9*s**3 - 2*s**2 + 2*s + 2. Suppose j + 5*u = 14 + 15, -j + 4*u + 2 = 0. Suppose -j*d - 21 - 21 = 0. Is i(d) a composite number?
True
Suppose 28*n - 519277 = 17*n + 446710. Is n a prime number?
False
Suppose -32*b = -5*b. Suppose 3*u - 4050 = -y + 4*u, 3*y + 2*u - 12145 = b. Is y a prime number?
True
Suppose -4*l + 50 = 5*p, 4*p + 1 - 37 = -4*l. Suppose q = 3*y - 2855, p*y - 10*y - 3802 = -q. Is y composite?
True
Suppose 0 = -51*w + 135*w + 99*w - 5876679. Is w composite?
True
Let g(q) = -2*q**2 + 12*q + 25. Let l be g(-2). Is (7/14)/(l/(-230986)) a composite number?
True
Let t(x) = 2*x**3 + 36*x**2 + 25*x + 41. Let v(u) = -5*u**3 - 107*u**2 - 75*u - 123. Let l(s) = -8*t(s) - 3*v(s). Is l(-14) prime?
False
Suppose 2*h + 0*h - 1766 = 0. Let a = h - 564. Is a a prime number?
False
Let j(i) = 31041*i - 1027. Is j(20) prime?
True
Let t(d) be the second derivative of -13*d**3/6 + 27*d**2/2 - 38*d. Is t(-10) prime?
True
Let b = -8150 + 18492. Is b prime?
False
Suppose -4*t = 3*s - 87921, s + 4*t - 34204 = -4889. Is s prime?
True
Let z(s) = 5*s - 73. Let v be z(15). Is v/((-4)/6) + (-6 - -16342) prime?
True
Let a(z) be the first derivative of -129*z**2/2 + 143*z + 229. Is a(-14) a composite number?
False
Let c(w) = -w**3 - 16*w**2 - 17*w + 13. Let o be c(-16). Let m be o/25 + (-3)/(-5). Is (586/m)/(2 + (-55)/30) composite?
False
Let v(u) = 22*u**2 - 22*u + 128 + 124 - 275. Is v(-15) a prime number?
False
Let c(g) = 43*g**2 + 2*g + 23. Let b(y) be the third derivative of y**6/120 + y**5/12 + y**4/12 + y**3/3 + 4*y**2. Let v be b(-5). Is c(v) composite?
True
Let f(i) be the second derivative of -i**4/3 + i**3/3 + 8371*i**2/2 - 43*i + 2. Is f(0) composite?
True
Let f = -41 + 36. Is f/((-5)/1851) - 4 composite?
False
Let l(i) = 3608*i - 1185. Is l(23) a composite number?
False
Suppose -3003528 = -82*b + 3738266. Is b composite?
False
Suppose 4*s = 4*c - 93076, -4*c = s + 3353 + 19901. Let t = s + 34817. Is t prime?
True
Let w(h) = 13*h - 7. Let q(r) = r**3 + 8*r**2 + 8. Let g be q(-6). Let c be (2/12*3)/(8/g). Is w(c) prime?
False
Let x(f) = 230*f**2 + 12*f + 17. Let b be 5 + 77/(-14) + 14/(-4). Is x(b) composite?
True
Let b be 49902/(-21) - (-4 + (-52)/(-14)). Is (0 - 2 - b) + -3 composite?
False
Suppose 45*x - 23*x - 88 = 0. Suppose 1370 = 2*w - x*j, -4*w - 1080 = -2*j - 3838. Is w a composite number?
False
Suppose -2160 = p + 3*s, -1063 = p - 5*s + 1097. Let j = p + 4678. Is j prime?
False
Let c = 74 - 75. Is c/4*-1 + (-48870)/(-72) a prime number?
False
Let o(a) = 339*a**2 - 24*a - 9. Let k be o(-7). Let f = k + -8956. Is f a prime number?
False
Suppose -44*q = -4*q - 1040. Is (4/(-2))/(q/(-10673)) a composite number?
False
Let k = 11056 - 7651. Let v = -2402 + k. Is v a composite number?
True
Suppose 3*h + h + 2*o = 7276, 3*h - o - 5457 = 0. Let a = h - -4130. Suppose 7*k = a + 4418. Is k prime?
True
Let i = 1858 + 1112. Is i/4 + (-11)/(-22) a composite number?
False
Suppose 1990 = -70*m + 69*m. Let i = m + 3072. Is i a composite number?
True
Let n = -605 - -611. Is (-10 + 12)/(n/13179) a composite number?
True
Let z be -3 - -6 - (2 + 6/(-2)). Suppose 6*h + z*h = 5*h. Suppose h = m + 4, 4*m - 1576 = -3*a + 2137. Is a a composite number?
True
Let q = 294 + -184. Let x be q/25 - (13/(-5) + 3). Suppose 2558 = x*p - 3*b + 643, 2 = -2*b. Is p a prime number?
False
Let m(v) = -9*v. Let b be m(-1). Suppose -5*l + 305 = -3*a, 8*l - 159 = 5*l - 3*a. Suppose -2*d = -2*y + l, -b*y + 4*y = -2*d - 133. Is y a prime number?
False
Is (655/(-15))/(-4 + 7615/1905) a composite number?
True
Suppose -16151 + 233543 = -16*h. Let t = h + 20090. Is t a prime number?
False
Let w = 60277 + -16616. Is w composite?
False
Let m(u) be the third derivative of 7*u**6/8 + 7*u**5/60 - 3*u**4/2 - 5*u**3/2 - 156*u**2. Is m(8) composite?
True
Let c(j) be the third derivative of -77*j**4/4 - 37*j**3/6 + j**2 + 5*j. Is c(-11) composite?
True
Suppose 76235 = -8*v + 463891. Is 4/6 - v/(-3) a prime number?
False
Let n = 296 - 293. Suppose n*j - 2472 - 3297 = 0. Is j composite?
True
Suppose -r - 3*x + 12177 = 3*r, 15223 = 5*r + 2*x. Suppose 0 = -n + 1228 - 3386. Let d = n + r. Is d prime?
True
Suppose 0 = 5*r - 4*t - 30, 0*r - 4*t - 18 = r. Suppose -o + 2*o - 3*s - 344 = 0, -4*s = -r*o + 696. Let h = o + -215. Is h composite?
True
Let d = 311 - 582. Suppose 0 = -31*c - 69*c - 11000. Let v = c - d. Is v composite?
True
Suppose -411*c = -402*c - 530163. Is c a prime number?
True
Let m(z) = 5547*z + 19. Let q be m(4). Suppose -5*p - s = q, 3534 = -p - 5*s - 893. Is (-6)/(-14) + p/(-7) prime?
False
Suppose -5*z - 5*v = 105 - 345, 57 = z + 4*v. Suppose -12*a = -15*a - 9, 5*a = -m - 11. Is m/18 - (-103805)/z a composite number?
True
Suppose -2*l = -2*o - 276416, -4*o - 71 + 75 = 0. Is l prime?
True
Let y(d) = 144541*d - 810. Is y(5) a composite number?
True
Let h(b) = -18*b**3 - 54*b**2 - 32*b + 95. Is h(-22) a prime number?
False
Let b(t) = -13*t + 90. Let f be b(6). Let k(j) = 77*j + 17. Is k(f) a composite number?
False
Let h be (-20)/(-25)*(-5)/(-2). Suppose 3*w - h*q - 277 = 2*q, 2*w - 5*q = 187. Suppose 3*f - 1004 = 2*n - w, -4*n = -5*f + 1523. Is f prime?
False
Let k(h) = 4970*h**2 + 38*h - 29. Is k(8) a composite number?
True
Let s be (-6)/27 + (-14)/18. Let a(t) = -160*t**3 - 2*t**2 - 4*t - 3. Let z be a(s). Let i = z - 112. Is i a composite number?
False
Let m be 2354 + (3 - 8 - -4). Let q = m + -930. Is q composite?
False
Let v(u) = -1836*u - 2. Let n(h) = 1835*h + 2. Let m(d) = -6*n(d) - 5*v(d). Let x(y) = 2745*y + 3. Let i(a) = -7*m(a) - 5*x(a). Is i(-4) prime?
True
Suppose 0 = 77*r - 65*r - 1403436. Is r composite?
False
Let j(y) be the third derivative of 7/24*y**4 - 11*y**2 + 0*y + 3/2*y**3 + 0 + 13/60*y**5. Is j(-5) a prime number?
False
Suppose -i - 1 = 1, -5*j + 2*i = -5374. Suppose 5*s - j + 34 = 0. Suppose 3*o - s = 173. Is o a composite number?
False
Let y = 41 - 36. Suppose -f + 9 + 2 = 2*n, -25 = -2*f - y*n. Suppose -4*u + 1056 + 2527 = i, -u = -f*i - 880. Is u a prime number?
False
Let y(j) = -102*j**3 - 38*j**2 - 18*j - 37. Is y(-15) a composite number?
True
Suppose 2*b + c - 3*c - 32 = 0, 3*b - 48 = 5*c. Suppose -a = 3*a - b, 3*m = 2*a + 250. Suppose -2*o + q + 49 = 0, 4*o - 3*q = -5*q + m. Is o a composite number?
False
Let o be 1*(-674)/(-10) + 4/(-10). Let i = 130 - 70. Let f = o + i. Is f a composite number?
False
Suppose 5*k - 3472617 = o, -5*k - 1613*o = -1616*o - 3472621. Is k composite?
False
Let y be ((-6)/4)/((-12)/56). Suppose -5*b = y*b + 1596. Let m = b - -386. Is m prime?
False
Let k be (-3)/(1*2/(4 - 2)). Is ((-5048 - k)
|
{
"pile_set_name": "DM Mathematics"
}
|
ence mxxm when four letters picked without replacement from {x: 13, m: 5}.
13/306
Two letters picked without replacement from hhhxhhhhxhhh. What is prob of sequence xx?
1/66
Calculate prob of sequence ccc when three letters picked without replacement from {c: 7}.
1
Calculate prob of sequence rcc when three letters picked without replacement from {d: 2, c: 3, r: 7}.
7/220
Calculate prob of sequence ea when two letters picked without replacement from {e: 7, a: 9, d: 1, u: 2}.
7/38
Three letters picked without replacement from illllii. Give prob of sequence lll.
4/35
Two letters picked without replacement from {r: 2, n: 1, m: 1, x: 1, o: 1, k: 1}. Give prob of sequence rx.
1/21
Calculate prob of sequence njf when three letters picked without replacement from fjjnj.
1/20
Three letters picked without replacement from rrrmhmrmhhmhrmrmm. Give prob of sequence rhr.
1/34
What is prob of sequence fm when two letters picked without replacement from {f: 2, q: 7, m: 2, z: 1}?
1/33
Three letters picked without replacement from puxxxwtwxbxtt. What is prob of sequence uxb?
5/1716
Four letters picked without replacement from jjjjjjj. Give prob of sequence jjjj.
1
Two letters picked without replacement from fgpfpgfffffppgff. Give prob of sequence pf.
3/20
What is prob of sequence geg when three letters picked without replacement from {g: 9, e: 9}?
9/68
Calculate prob of sequence wh when two letters picked without replacement from {d: 2, w: 1, h: 4, r: 1, u: 1}.
1/18
Three letters picked without replacement from {a: 3, x: 1, z: 13, g: 2}. Give prob of sequence xaz.
13/1938
Three letters picked without replacement from {d: 8, n: 1, b: 4}. What is prob of sequence bdb?
8/143
Four letters picked without replacement from xxexxxddvpdxxpxexxve. Give prob of sequence eexe.
1/1938
Calculate prob of sequence zec when three letters picked without replacement from eeicccecczzzz.
5/143
Two letters picked without replacement from kivkckvkkkik. What is prob of sequence ic?
1/66
Calculate prob of sequence wzxw when four letters picked without replacement from {f: 1, r: 6, z: 1, w: 2, x: 2}.
1/2970
Calculate prob of sequence uuum when four letters picked without replacement from {u: 4, m: 10}.
10/1001
Calculate prob of sequence bn when two letters picked without replacement from begebbgbennbknbeb.
21/272
Three letters picked without replacement from {s: 6, r: 4, n: 5, b: 5}. Give prob of sequence nrr.
1/114
Calculate prob of sequence li when two letters picked without replacement from villiiiqlvqivlqviii.
16/171
Calculate prob of sequence ppg when three letters picked without replacement from ppgpgppgpppgpppppp.
91/612
What is prob of sequence anrn when four letters picked without replacement from {a: 1, r: 11, n: 7}?
77/15504
Four letters picked without replacement from hwmwwwwhwwwwwwm. Give prob of sequence mhhm.
1/8190
What is prob of sequence uuu when three letters picked without replacement from {u: 6, a: 2}?
5/14
Three letters picked without replacement from vvvvccswcvvvcvv. What is prob of sequence wcs?
2/1365
Three letters picked without replacement from mqqmypwpmpwqqqqpy. What is prob of sequence yyp?
1/510
Four letters picked without replacement from npnpnnnpnnunnupnnnp. What is prob of sequence pnuu?
5/3876
Calculate prob of sequence jsjc when four letters picked without replacement from scjcccsjjssccc.
1/143
What is prob of sequence tul when three letters picked without replacement from {u: 3, t: 3, l: 2}?
3/56
Two letters picked without replacement from {a: 1, l: 3, r: 1, e: 6, d: 1}. What is prob of sequence al?
1/44
What is prob of sequence ujrf when four letters picked without replacement from {r: 2, k: 1, u: 3, f: 2, a: 3, j: 4}?
2/1365
Four letters picked without replacement from {s: 1, y: 9, p: 2, l: 2}. What is prob of sequence splp?
1/6006
What is prob of sequence cu when two letters picked without replacement from {x: 2, u: 2, w: 1, c: 4}?
1/9
Calculate prob of sequence jd when two letters picked without replacement from odjujujjj.
5/72
What is prob of sequence jpf when three letters picked without replacement from ppjkkkpkkkpfk?
1/429
Two letters picked without replacement from {t: 1, u: 1, k: 1, l: 1, c: 1}. Give prob of sequence lu.
1/20
What is prob of sequence cqqc when four letters picked without replacement from uccuuqaaaqaa?
1/2970
Two letters picked without replacement from {q: 1, v: 2, k: 1, m: 1, y: 1, i: 2}. What is prob of sequence qm?
1/56
What is prob of sequence lr when two letters picked without replacement from {a: 2, r: 1, s: 1, g: 1, l: 2, j: 1}?
1/28
Three letters picked without replacement from cxhjconhxjjcjjjncnon. Give prob of sequence xnc.
4/855
What is prob of sequence jxjj when four letters picked without replacement from {j: 3, x: 4}?
1/35
Calculate prob of sequence ttj when three letters picked without replacement from {t: 3, j: 9}.
9/220
Calculate prob of sequence xcp when three letters picked without replacement from {x: 1, w: 5, c: 2, d: 1, p: 6}.
2/455
Four letters picked without replacement from irrri. Give prob of sequence iiri.
0
Four letters picked without replacement from {c: 4, b: 2, w: 1, z: 1, u: 2, f: 2}. Give prob of sequence ffcu.
2/1485
What is prob of sequence neoe when four letters picked without replacement from {e: 2, n: 1, o: 1}?
1/12
Calculate prob of sequence rrq when three letters picked without replacement from {q: 2, r: 1}.
0
What is prob of sequence bb when two letters picked without replacement from lllllbllbllllllllll?
1/171
Three letters picked without replacement from {z: 2, y: 1, i: 1}. Give prob of sequence yiz.
1/12
Calculate prob of sequence uy when two letters picked without replacement from uyuy.
1/3
What is prob of sequence vvmm when four letters picked without replacement from mmvmmmmmmvmvmmvv?
55/1092
Three letters picked without replacement from {t: 1, g: 2, y: 1, z: 1}. Give prob of sequence yzg.
1/30
Calculate prob of sequence lfsf when four letters picked without replacement from {l: 6, r: 2, e: 4, d: 1, f: 2, s: 4}.
1/1938
Three letters picked without replacement from mufmdvuuuhdumuf. What is prob of sequence uvf?
2/455
Four letters picked without replacement from {b: 13, w: 5}. Give prob of sequence bbww.
13/306
What is prob of sequence hkkt when four letters picked without replacement from {t: 9, h: 6, k: 4}?
9/1292
Two letters picked without replacement from doodhdodododh. Give prob of sequence hd.
1/13
Calculate prob of sequence bgbg when four letters picked without replacement from bbgggbgbbbbbggggbbgg.
45/646
What is prob of sequence zdf when three letters picked without replacement from yqfpddzyfyqqzy?
1/273
What is prob of sequence xxx when three letters picked without replacement from {x: 9, h: 7}?
3/20
Three letters picked without replacement from {y: 3, m: 3, i: 1}. Give prob of sequence miy.
3/70
Calculate prob of sequence zjz when three letters picked without replacement from {d: 2, g: 1, z: 2, j: 1, k: 1}.
1/105
Calculate prob of sequence zgg when three letters picked without replacement from {i: 1, g: 2, e: 4, j: 1, z: 2}.
1/180
Calculate prob of sequence wwx when three letters picked without replacement from xwx.
0
Two letters picked without replacement from bblbbbblbbb. What is prob of sequence ll?
1/55
Three letters picked without replacement from ngggngb. Give prob of sequence ggg.
4/35
What is prob of sequence eed when three letters picked without replacement from {e: 4, d: 15}?
10/323
Four letters picked without replacement from pbsbpbpsbsbs. What is prob of sequence bpsp?
1/99
Four letters picked without replacement from vdvokkvwowzozw. Give prob of sequence dzvo.
3/4004
Three letters picked without replacement from zzuupcwuwzzcucuuu. What is prob of sequence uzc?
7/340
What is prob of sequence yayy when four letters picked without replacement from uauyuyujuayauju?
1/1820
Two letters picked without replacement from jjjjjjjhjjjj. Give prob of sequence jj.
5/6
Three letters picked without replacement from jjjjjjjjnjn. What is prob of sequence jjj?
28/55
Two letters picked without replacement from osdduss. What is prob of sequence ss?
1/7
Three letters picked without replacement from {t: 2, b: 2, r: 1, h: 1}. What is prob of sequence rtt?
1/60
Three letters pi
|
{
"pile_set_name": "DM Mathematics"
}
|
+ o + d*k and give o.
2
Rearrange 158*a + 4*a**3 + 2*a**3 - 1 - 1 - 157*a to q + s*a + w*a**3 + u*a**2 and give q.
-2
Express 2*w**3 - w**3 + w**4 - 2*w - 2*w**2 - 2*w**4 as l*w**3 + a + g*w**4 + x*w + y*w**2 and give y.
-2
Rearrange -3*u + 2*u**2 + 3*u + 0*u to the form j*u + p + x*u**2 and give p.
0
Rearrange -2*l**3 - 1 + 3*l**2 + 5*l**3 + 10*l**4 - 6 - 9*l**4 to o*l**4 + r + y*l**2 + v*l + f*l**3 and give o.
1
Express 0*s - 2*s + s**4 + 2*s**4 + (-2 + 2 - 2*s**2)*(-6*s + 6*s + 9*s**2) in the form r*s**2 + f*s**3 + p*s**4 + b + m*s and give p.
-15
Express -1 - 8*q**2 - 11*q**2 + 7*q**2 in the form r*q**2 + j + t*q and give r.
-12
Express (-4 + 2*s + 4)*(-3*s - s + 3*s) - 1 - 5*s**2 + 1 as y + t*s**2 + h*s and give t.
-7
Rearrange 2*n + 7 + n**2 - 4 - 6 + 0*n**2 - n**2 + 0*n**2 + (5*n - 3*n + 0*n)*(0*n + n + 2*n) to the form j*n**2 + d*n + b and give b.
-3
Rearrange -4*k + 6*k - 7 + k to the form c*k + z and give z.
-7
Express 2 - 5*j - 2 + (2 - 1 + 0)*(23 - 4*j - 23) + 2*j + 2*j - 2*j in the form w*j + f and give w.
-7
Express 2*u**2 + 1 - 5*u**3 + 3 + 3*u - u + 3*u**3 in the form q*u**3 + v*u + s + z*u**2 and give q.
-2
Express -2*v + 2*v - 5*v - v in the form o*v + q and give o.
-6
Express (1 + 1 + 3)*(-d - d + 0*d) as n + c*d and give c.
-10
Rearrange (3 + 2*l - 3)*(261 - 261 + 25*l**2) + 0*l**2 - 2*l**3 + 0*l**2 - 3 - l**3 + 3 to i + u*l**2 + t*l + d*l**3 and give d.
47
Express t**2 + 2*t - 2*t - 20*t**2 + 21*t**2 + 26*t**2 - 5*t**2 + 2*t**2 + 2*t**2 + (1 - 5*t - 1)*(-4*t + 3*t + 0*t) in the form g*t + b*t**2 + j and give b.
32
Rearrange (-3*c + c + c)*(-5 + 5 - 5*c) to the form n + u*c + v*c**2 and give v.
5
Rearrange (4*a - 6*a + 4*a)*(3*a - 5 + 5)*(1 + 6 + 9) to the form k*a**2 + b*a + q and give q.
0
Express -165*j**2 + 1 + 2*j**3 + 0*j**3 + 153*j**2 as p*j**3 + q + a*j**2 + c*j and give q.
1
Rearrange (-5*a**2 + 4*a**2 - a**2)*((-2*a + 4*a - 3*a)*(1 + a - 1) - 5*a**2 + 2*a**2 + a**2) to c*a**2 + f + q*a**3 + m*a + g*a**4 and give m.
0
Express (-16 + 7 + 12)*(-c + 3*c - 5*c) as t + x*c and give x.
-9
Express 6*i**4 - 12*i**4 - 2*i**3 + 2*i**2 + 8*i + 7*i**4 as w*i + o*i**3 + f*i**2 + u*i**4 + p and give u.
1
Express 5*c**3 - 7*c + 9*c**3 - 15*c**3 as w*c + u + q*c**3 + r*c**2 and give q.
-1
Express -3*u**2 - 4 + 1 + 1 + 5 in the form q*u**2 + y*u + k and give k.
3
Express -3*l - 3*l + 0*l + (2 - 3 + 0)*(2*l - 3*l + 2*l) + (1 + 0 + 1)*(l + 2*l - l) as t + p*l and give p.
-3
Express (-7*h + 2*h + 4*h)*(5*h**3 + h**3 - 4*h**3) + 120 + 3*h**4 - 120 + 2*h**4 + 2*h**4 - 2*h**4 in the form f + z*h**4 + a*h + p*h**2 + g*h**3 and give f.
0
Rearrange -18 + 116*i - 230*i + 112*i to y*i + m and give m.
-18
Rearrange 39*a - 2*a**2 - 39*a + 12 to the form m*a**2 + c + k*a and give k.
0
Express 7*f**2 - 20*f**2 + 4 + 12*f**2 - f**3 as s*f**3 + t*f**2 + z*f + y and give s.
-1
Express -9*q + 2*q**2 - 27 - q**3 + 4*q + 30 in the form a*q**2 + y*q**3 + p*q + o and give a.
2
Express -9*f**2 + 16*f**2 - f**4 - 6*f**2 - 4*f**3 in the form p*f**2 + h*f + s + y*f**3 + q*f**4 and give y.
-4
Rearrange -13*k**2 - 24*k**2 - 81*k**2 - 70*k**2 to the form u + c*k**2 + s*k and give c.
-188
Rearrange 0*d**2 + 7*d - 2*d**2 - 3*d to g + v*d + m*d**2 and give v.
4
Rearrange (5 - 5 - l)*(-3 + 4 + 1)*(-2*l - 3 + 0*l + 1 + (3 + 0 - 1)*(-4*l + 3*l + 3*l)) to the form p + d*l**2 + h*l and give p.
0
Express 73*r**2 + r + 1 - 135*r**2 + 1 in the form w*r**2 + b*r + y and give b.
1
Rearrange -27*g - 4 - 33*g + 4 to the form u + j*g and give j.
-60
Rearrange -3 + 5*s**4 - 43*s**3 + 0*s**4 + 41*s**3 to the form c*s**2 + i + p*s**3 + q*s**4 + r*s and give i.
-3
Express -v**2 - v**2 - 3*v - 10*v in the form r + b*v + x*v**2 and give r.
0
Rearrange (-3 + 5 - 1)*(0*x**3 - x**3 - x**3) + 0*x**2 - 5*x**2 - 2*x**3 + 3*x**2 - 9*x**3 + 5*x**3 + 5*x**3 to the form r + g*x**3 + z*x**2 + s*x and give z.
-2
Rearrange -4*x**3 + x**3 + 0*x**2 + 187*x - 185*x - 2 - x**2 to the form b*x**2 + p*x**3 + u + g*x and give u.
-2
Rearrange (-6 - 4 + 12 + 2*a**3)*(1 - 4 + 0)*(1 + 1 + 0)*(-2*a + a - 2*a) to the form s + z*a**3 + d*a + g*a**4 + n*a**2 and give d.
36
Express (52*g**2 + 6 - 1 - 68*g**2)*(0*g**2 - 4*g**2 + 3*g**2) as k*g + w*g**2 + p*g**3 + v*g**4 + q and give v.
16
Rearrange -19*x**2 - 11*x**2 + 80*x**2 + x to s*x**2 + r + d*x and give r.
0
Rearrange 1 - 1 + 72*j - 31*j to h*j + k and give h.
41
Rearrange h**4 - h**3 + 10*h**3 + 3*h + 7*h**3 + 0*h**4 to the form a*h + t*h**2 + x + f*h**3 + p*h**4 and give x.
0
Rearrange (-a + 3*a - 3*a)*(100*a**2 - 137*a + 137*a) - 4*a**3 - 1 + 1 to the form f*a + r*a**2 + y + z*a**3 and give f.
0
Express -4*y**3 + 12*y**3 - 2*y - 2*y**2 - 4 - 1 - 9*y**3 as h*y + l + n*y**2 + d*y**3 and give n.
-2
Express 5 + 3 - 2 + 13*n**2 - 2 in the form i*n**2 + f*n + y and give y.
4
Express (5*a - 4 - 7 + 9)*(-4 + 0 + 6)*(3*a + a - 2*a) in the form x + v*a + k*a**2 and give v.
-8
Rearrange -q - q + q + (4 - 1 - 4)*(0 + 0 - q) + 1 - 33*q - 19*q - 3*q - 4 + q + 4 to the form v + s*q and give v.
1
Rearrange -58*j**4 - 3*j + 5*j**3 + 2*j + 60*j**4 to the form w*j + a*j**4 + q*j**2 + z + v*j**3 and give a.
2
Rearrange -b**2 - 4*b**4 + 0*b**2 + b + 9*b**4 - 2*b to the form t*b**2 + z*b**3 + v + m*b**4 + u*b and give m.
5
Express -y + 4*y - 3*y + 3*y in the form x + j*y and give j.
3
Express 5*z**3 - 35 + 5*z**2 + 34 - 3*z**3 as w*z**3 + v + g*z + h*z**2 and give v.
-1
Express o - 2*o**4 + o**4 + 2*o + 2 + 2*o**3 - 2*o**2 + o**2 in the form l*o**2 + x*o**3 + v + n*o + p*o**4 and give p.
-1
Express (-3*q - 4*q**2 + 3*q)*(0 + 6 - 2) as k*q**2 + r + n*q and give n.
0
Rearrange 1 + 1 + l**2 + 37*l**3 - 43*l**3 to the form y + b*l**2 + c*l + t*l**3 and give y.
2
Rearrange x + x + x - 14 to b + w*x and give w.
3
Rearrange -7*d + 2 - 2 - 8*d to x*d + h and give x.
-15
Express (-2*f**2 - 1 + 1)*(-2 - 1 + 2) + 3*f**2 + 3*f**2 - 5*f**2 - 2*f - 3*f**2 + 2*f + (-4 - 1 + 4)*(-1 + f**2 + 1) in the form v + p*f + g*f**2 and give g.
-1
Rearrange -6*m**3 - 6*m**4 + 4*m**4 - 2 + m**2 + 5*m**4 to the form u*m**3 + k*m**4 + a + s*m**2 + b*m and give k.
3
Rearrange 1 - 2 + 2 + 1 + 41*s to b*s + o and give b.
41
Rearrange -4*j + 11*j**4 - 3*j**2 + j**3 - 10*j**4 + 0*j**2 to b + r*j**2 + y*j**3 + n*j**4 + d*j and give d.
-4
Express (-2*n - n + 0*n)*(n**3 + 0*n**3 - 3*n**3) + (0*n**4 - 3*n**4 + 7*n**4)*(0 + 1 + 0) as g*n**3 + m*n**4 + k*n + b + h*n**2 and give m.
10
Express (-1 + 4 - 2)*(y + 28 + 80 - 7) in the form o*y + b and give o.
1
Express -15*m + 4*m - 9*m + 0*m in the form n + w*m and give w.
-20
Express -1 - 115*z - 40*z + 1 in the form a + x*z and give x.
-155
Express (-80*w + 80*w + 10*w**2)*(-3 + 3 - 2) + (-3 + 3 + 1)*(4*w**2 - w**2 - w**2) - w**2 - 3*w**2 + 3*w**2 in the form y*w**2 + a*w + o and give y.
-19
Express -505 - 105*r + 505 as w*r + s and give w.
-105
Express (115*p - 43*p**2 - 115*p)*(4 + 1 - 6) in the form t + b*p**2 + v*p and give b.
43
Express -k**2 + 5 - 5 + k**2 - 1 + 1 + (k + 4*k - 4*k)*(3*k + 0*k - k) + 0*k**2 + 2*k**2 - 3*k**2 + (-k**2 - 5 + 5)*(6 - 3 + 1) as a + l*k + r*k**2 and give r.
-3
Rearrange -24*x**2 - 7*x**2 + 13*x**2 to c*x**2 + v + l*x and give c.
-18
Express (3 + 3*y**2 - 3)*(2 + 1 - 1)*(-3*y - 1 + 1)*(3*y + 25 - 8 - 18) as a*y + h + r*y**2 + u*y**4 + c*y**3 and give u.
-54
Rearrange 0*s**3 + 16*s**3 + 4*s**3 + (-3*s**2 + 4*s**2 - 2*s**2)*(-3*s + 4*s + 0*s) to the form x*s**3 + u*s**2 + d*s + b and give x.
19
Express ((i**2 - 2*i**2 + 3*i**2)*(-6*i - 2*i + 4*i) - i + i + 2*i**3)*(0*i - i - i) as l*i**2 + x*i + r*i**4 + t + v*i**3 and give r.
12
Rearrange -286*k**2 + 147*k**2 + 142*k**2 + 20*k to the form q*k + h*k**2 + x and give h.
3
Rearrange -44 + 2*d - 2*d - 3080*d**2 + 3077*d**2 to y*d**2 + t*d + s and give s.
-44
Express y**4 - 6*y - 2 + 5*y + y**3 + 2 - 3 as p + l*y**3 + a*y + n*y**2 + d*y**4 and give l.
1
Rearrange 6 + 27*p**2 - 9*p**2 - 12*p**2 - 7*p**2 + 2*p to the form m + d*p + z*p**2 and give m.
6
Rearrange (q - 5*q + 2*q)*(-102*q**3 - 2*q + 99*q**3 + 1 - 2) to i*q + n*q**2 + t*q**4 + k + v*q**3 and give i.
2
Rearrange (0*s + 4*s - 2*s)*(1 - 3 + 4) + 2*s - s + 0*s + (0 + 2 + 4)*(s + s - s) to q*s + k and give k.
0
Express (3*b**2 + b**2 - 5*b**2 + (6*b - 3*b - 4*b)*(b + 2*b + 0*b))*(5*b**2 - 2*b**2 - b**2) as n*b**3 + q*b**4 + x*b + g
|
{
"pile_set_name": "DM Mathematics"
}
|
= -s + 1. Suppose -15 + 16 = -c. Let l be (24/9)/(3/(-9) - c). Determine v(l).
-3
Let y(z) = -17*z + 7*z + 23 + 9 + 3*z + 6*z. Determine y(16).
16
Let h(c) = 2*c**2 + 4*c + 4. Suppose f = 5*b - 25, b - 4*f + 25 = 6*b. Suppose -3*x = -k - 36, -x + k - 55 = -b*x. Let s = 9 - x. Give h(s).
20
Let w be (-1)/(1/2) - -2. Let s = -123 + 126. Let a = w - s. Let o(k) = k**3 + 4*k**2 + k + 2. What is o(a)?
8
Let o(j) = -j + 1. Let u(p) = 3 + 7*p**2 + 2*p**2 - 3*p**2 - 4*p. Let v(l) = -4*o(l) + u(l). Let x(h) = -2*h - 7. Let s be x(-3). What is v(s)?
5
Let x(d) = -33 + 53 + 13*d - 31. Let y(s) = -20*s + 17. Let o(w) = 8*x(w) + 5*y(w). Calculate o(2).
5
Suppose f - 29 = 4*o, 0 = -0*o - 2*o - 4*f + 8. Let i(j) = 11*j + 13. Let y(v) = 13*v + 14. Let s(n) = -6*i(n) + 5*y(n). What is s(o)?
-2
Let i(n) = 16*n**3 - 5*n**3 - n + 11 - 10*n**3. Let b be (-14)/77 - (-2)/11. Suppose -2*t = -b*t. Calculate i(t).
11
Let t(m) = 0*m**3 + 2*m**2 - 5*m**3 - m**2. Let w(f) = -21*f - 463. Let p be w(-22). Determine t(p).
6
Let o(h) = -h**2 - 4*h + 10. Suppose -3*z + 15 = 5*g, 32*g + 3*z = 31*g + 3. Determine o(g).
-11
Let d(a) = 6*a - 7. Let i(h) = -13*h + 14. Let o(b) = 9*d(b) + 4*i(b). Let j be ((-94)/(-376))/((-2)/(-56)). Calculate o(j).
7
Let x be (-483)/(-12) - 6/24. Let u = x - 36. Let y(q) be the second derivative of q**4/12 - 2*q**3/3 - 2*q**2 - q. What is y(u)?
-4
Let y(r) = -r**2 - 4*r + 2. Let g be y(-5). Let s(h) = -5*h - 6847 + 2286 + 2276 + 2283. Calculate s(g).
13
Let t(h) be the third derivative of 0 + 1/10*h**5 + 1/120*h**6 - 1/2*h**3 + 1/6*h**4 + 0*h - 3*h**2. Determine t(-5).
2
Let y(z) = -z**3 + 6*z**2 - 6*z + 7. Let v be y(5). Let x(p) = 74 - 11*p - p**v - 71 + 4*p. Suppose -4*r - 3*r = 49. Determine x(r).
3
Let j = 40 + -123. Let t = j - -87. Let q(b) = b**3 - 5*b**2 + 4*b + 4. Give q(t).
4
Let q be 18/6*(-5)/(-45)*6. Let u(o) = -5*o**3 - 3*o**2 + o + 1. Determine u(q).
-49
Let c(t) = -t**3 - 7*t**2 - 6*t - 1. Let n(y) = -y. Let w be n(-5). Suppose -4*s + 6*s + w = -5*x, -5*s = 2*x - 40. Let h be 8/(-20) + (-56)/s. Calculate c(h).
-1
Let d be (12/(-21))/(2/(-7)). Suppose -d*k - 12 = -6*k. Let i(j) = -4*j - 4. Give i(k).
-16
Let p(g) = -g**3 + 7*g**2 - 2*g - 6. Suppose -4*i = -6 - 18. What is p(i)?
18
Suppose 0 = 5*a + 3*w - 28, -a + 0*a - 2*w + 7 = 0. Suppose 5*u + 20 + a = 0. Let j(m) = -m**2 - 3*m + 7. What is j(u)?
-3
Let x(v) = -v**3 + 12*v**2 - 11*v + 4. Let s be x(11). Let d(u) = 0*u - u + 214 - 209. Calculate d(s).
1
Let g be (-1)/(-5) - (-330)/(-25). Let h = g + 18. Let x(f) = -h + 5*f**2 - f**2 + 13*f**3 - 12*f**3. What is x(-4)?
-5
Suppose -5*m = 6*c - 11*c, -3*m + 8 = 5*c. Let n = 3 - c. Let k(x) = 1 + n*x**2 + 0 - 11*x**2 + 2*x**2. What is k(1)?
-6
Let h(x) be the third derivative of -x**8/6720 + x**6/360 - x**5/120 - 37*x**4/24 - 11*x**2. Let y(f) be the second derivative of h(f). What is y(-2)?
3
Suppose 0 = 234*v - 242*v - 32. Let s(a) = -8*a**2 - 5 - 2*a**2 + 2*a + 11*a**2. Calculate s(v).
3
Let i(v) = -v**2 - 3*v + 3. Suppose 8*t - 14 = 26. Give i(t).
-37
Let o(f) = f**2 + 2*f + 1. Suppose 28 = -2*a + 4*i - 0*i, -i = 4*a + 74. Let u = a - -9. Let v be (6/(-27))/(1/u). Give o(v).
9
Suppose 5 = -2*q - 9. Let t(f) = 3*f**3 - 5*f + 3*f + 8*f**2 - 4 + 4*f + 3*f - 2*f**3. Determine t(q).
10
Let r(g) = 1. Let l(u) = -3*u - 43. Let k(w) = l(w) - 4*r(w). What is k(-19)?
10
Let a(o) = 25 + 6*o + 5*o - 2*o - o**2 - 31. Calculate a(7).
8
Let t = -75 - -79. Let l(f) = 3*f - 7. What is l(t)?
5
Let h(o) be the second derivative of o**5/10 - o**4/3 + o**3/3 + o**2/2 - 3*o - 44. Determine h(2).
5
Let z(y) be the third derivative of y**6/120 - 2*y**5/15 + y**4/4 + 7*y**3/6 - 72*y**2. Give z(6).
-29
Let h = -51 - -44. Let q(j) = j + 5. Let d be q(h). Let p(z) = 4*z + 1. Determine p(d).
-7
Let o(j) = -j**3 - j**2 - 74*j + 1. Let a be o(0). Let u(b) = 5*b**3 - 2*b**2 + b. Calculate u(a).
4
Let g(n) be the second derivative of n**4/12 - 2*n**3/3 + 5*n**2/2 + 5*n. Let z(f) = -11*f + 38. Let v be z(3). Determine g(v).
10
Let o(q) = -2*q + 1. Let d = 59 - 53. Let w be (-4)/d*(-36)/(-8). Give o(w).
7
Suppose 15*c = -22 + 127. Let p(y) = y**2 - y - 6. Determine p(c).
36
Let c(u) = 6 + 4*u + 2*u - 7*u. Let v be c(5). Let z(i) = 3 + 0 - 3 + v - 2*i. Calculate z(4).
-7
Let a = 98 - 98. Suppose k + a = 4*b - 4, -3*k - b + 1 = 0. Let w(m) = m - 12. Calculate w(k).
-12
Let d(o) = -18*o**3 - 2*o - 1. Let s(w) = w**2 + 7*w + 9. Let j be ((-45)/25)/((-3)/15). Suppose -j*c + 12*c = -15. Let p be s(c). Calculate d(p).
19
Let d = 61 + -54. Let c(h) = 1 - h + 8*h**3 - d*h**3 - 4 - 6. Determine c(0).
-9
Suppose 5*n - 5*a = 0, -3*a = -n - 3*n - 3. Let u = n + 7. Let z(h) = 3*h + 4 - 3 - u*h + 1. Determine z(4).
-2
Let z(m) = -1 + 0*m + 2*m**2 + 0*m**2 - 2*m. Let t = 19 - 13. Let b = t - 4. Give z(b).
3
Let y(v) = -v + 5. Let m(r) = -r**2 + 15*r - 44. Let i be m(7). Calculate y(i).
-7
Let y = -34 + 35. Let w(z) = -z. Let r(o) = -2*o - 3. Let b(x) = y*r(x) - 3*w(x). Suppose 3*n - 4 = 17. What is b(n)?
4
Let p(q) = 5*q**2 - 3*q - 2. Let r(j) be the second derivative of -j**4/12 + j**3/6 + 25*j. Let i(z) = p(z) + 6*r(z). Give i(4).
-6
Let w(g) = -5*g - 76 + 26 + g + 25 + 23. What is w(-2)?
6
Let v(u) = u - 2. Let i(f) = -f + 1. Let k = 12 + -18. Let b(c) = k*v(c) - 5*i(c). Determine b(0).
7
Suppose j - 5*a - 11 = 0, 2 - 25 = -3*j + 5*a. Let u(i) = -i**3 + 5*i**2 + 4*i - 4. Calculate u(j).
-16
Let l(n) = -n**3 - n. Let v(u) be the first derivative of -7/4*u**4 - 8 + 4/3*u**3 - 7/2*u**2 - 2*u. Let x(d) = -6*l(d) + v(d). Determine x(4).
-6
Let i be 9 - (-12)/(-8)*-2*1. Suppose 0 = 2*b - b - 3*y + i, -2*b - 14 = -y. Let c(w) = -2*w - 9. Give c(b).
3
Let u(y) = -y + 1. Suppose 0 = -4*g + l - 18, 27*g - 28*g - 9 = 2*l. What is u(g)?
6
Let z(t) = -t - 10. Let y(i) = i**2 + 14*i + 20. Let h be y(-11). Let n be z(h). Let b(j) = 3*j**2 - 3*j + 2. Give b(n).
20
Suppose -5*x + 3 + 2 = 0, 3*x = i - 2. Suppose i*r = -31 - 4. Let h(g) = -3*g**2 + 2*g**2 - 207*g + 200*g. What is h(r)?
0
Let v(o) = o**2 + o - 12. Let p = -219 - -219. Calculate v(p).
-12
Let k be (-775)/(-279) - (-4)/18. Let c(l) = l**3 - 3*l - 3. What is c(k)?
15
Let t(a) be the second derivative of -5/12*a**4 - 1/20*a**5 + 0 - 26*a - 3/2*a**2 - 1/2*a**3. Calculate t(-4).
-7
Suppose -16 = 4*a + 2*c, 5*c - 5 = 5*a - 0. Let g(i) = i**2 - 12*i - 40. What is g(a)?
5
Let l(q) be the third derivative of -1/24*q**4 + 0 + 0*q + 1/6*q**3 + 5*q**2 + 1/30*q**5. Let y be (-4)/20 - (-6)/5. Determine l(y).
2
Let p(u) = u + 7. Let w(f) = 2*f + 13. Let m be -8*(-2)/4 - 10. Let r(h) = m*w(h) + 11*p(h). Determine r(0).
-1
Suppose 10*l = 9*l + 2. Let k(f) = l - 9*f - 6 - 3 + 2*f - f**2. Calculate k(-6).
-1
Let x(v) be the second derivative of v**2 - 11*v + 0 - 2/3*v**3. Let s(z) = 2*z - 6. Let i be s(4). What is x(i)?
-6
Let k(d) be the third derivative of -d**5/60 + 5*d**4/24 + d**3/3 + 19*d**2. Let r = -5 - -3. Let m = 8 + r. Determine k(m).
-4
Let t = 67 - 75. Let x(u) = -2*u - 3. Determine x(t).
13
Let p(o) be the second derivative of 11*o**3/2 - o**2/2 + 4*o + 25. Calculate p(1).
32
Let c(q) = -q**2 + 24*q + 24. Let f be c(25). Let h(z) = -10*z**2 + 2*z + 6. Let b(k) = 11*k**2 - 2*k - 7. Let w(g) = 5*b(g) + 6*h(g). Determine w(f).
-6
Let u = -1103 + 1104. Let x(k) = 9*k**2 - k + 2. What is x(u)?
10
Suppose -35*h - 130 = -48*h. Let o(v) be the first derivative of -v**2/2 + 2*v + 2. Calculate o(h).
-8
Let k be 0 + -2 + 3 + -2. Let r = -5 + k. Let s(f) = -2 - 22*f - 19*f + 69*f - 29*f. Give s(r).
4
Suppose 5*g + 0*g - 20 = 0. Suppose -g*v = -v. Suppose v*f = 3*f + 9. Let q(c) = c - 3. Calculate q(f).
-6
Let w(u) = -u**2 + 3*u + 6. Suppose 0 = -4*y + 113 - 17. Let g = 30 - y. Calculate w(g).
-12
Let v(o) = -5*o - 6 - 265*o**2 + 130*o**2 + 134*o**2. What is v(-3)?
0
Let j(o) be the first derivative of -o**5/20 - 5*o**4/12 + o**3/3 - 2*o**2 + 26*o + 9. Let u(v) be the first derivative of j(v). Determine u(-5).
-14
Let t(n) = 2*n - 6. Let k(j) = -j + 1. Let m(v) = -6*k(v) - t(v). Let c(h) = -8 - 3*h - 8*h + 3*h - h**2. Let l be c(-7). Calculate m(l).
-4
Let n = 7 - 13. Let p(q) = 39*q + 44*q + 39*q - 123*q + 2 - 7. What is p(n)?
1
Suppose -3 = b + 2. Let i(a) = 6*a + 10*a - 31*a + 8*a + 5*a. Give i(b).
10
Let k(j) = 3*j + 806. Let y(b) = 2*b + 60
|
{
"pile_set_name": "DM Mathematics"
}
|
n 0.2, r, -0.3?
-0.3
Let o be (1 + 66/(-60))*(-1 + -3). What is the third smallest value in -11, 4/9, o?
4/9
Let z be (-105)/(-54) - (42/(-12) + 5). What is the fourth biggest value in z, 0.4, 2/3, -0.04?
-0.04
Let h be 1 + (-3)/((-30)/(-16)). Suppose -46*o + 84 = -25*o. Which is the third smallest value? (a) -5 (b) h (c) o
c
Let n = 110 + -109.33. Let j = -3.67 + n. Which is the biggest value? (a) j (b) 0.5 (c) 3
c
Suppose 0 = -4*y - 20, -j + 36 = -4*y + 13. Suppose r + 1 = j. Let h be 1/1*r/(-8). Which is the second smallest value? (a) -2 (b) h (c) 3
b
Let t = 206.5 + -206. What is the fourth biggest value in t, 1/5, 4, -5/2?
-5/2
Let w = -0.03 + 0.03. Let p(k) = -19*k - 1. Let q be p(1). Let s = q + 16. Which is the third biggest value? (a) s (b) w (c) -0.5
a
Let b = 78.6 + -77. What is the third smallest value in 0.4, b, -5?
b
Suppose -3*w - 4 = w. Let p = -509 + 4075/8. What is the fourth smallest value in 1/7, p, w, 2/15?
p
Let s be 4 + 8*17/136. Let q be ((-2)/5)/((-18)/(-10)). Which is the third biggest value? (a) s (b) -40 (c) q
b
Let c = 251/287 + -30/41. What is the third biggest value in -2, -1/28, c?
-2
Let h be ((-3)/32)/(2/8). Let y = -1/40 + h. Let k = -0.264 - -0.764. Which is the third biggest value? (a) k (b) 1/9 (c) y
c
Suppose -10*h = -6*h - 36. Let j be (-3)/(h/(-2)) - 1. Which is the third biggest value? (a) 2/7 (b) -0.7 (c) j (d) 3
c
Let j = -0.039 + -0.021. What is the biggest value in 0.1, -3/2, j?
0.1
Let m = -34/11 - -305/88. Let o = -171.9 + 179.9. Which is the second smallest value? (a) m (b) o (c) 5
c
Let n = -53.9 + 54. Let s be 2/(-4) + (-19)/(-30). Which is the second smallest value? (a) n (b) 0 (c) -3/5 (d) s
b
Let q = 0.1 - 0. Let i = 1018.6 - 1018.3. What is the smallest value in q, -1/6, i?
-1/6
Let u = 0.27 + -0.27. What is the third biggest value in u, 2/3, 2, -0.3?
u
Let x = -94 + 169/2. Let t = 22 + -12. Let p = x + t. What is the second biggest value in p, 0.3, -2/5?
0.3
Let w = -74 + 90.8. Which is the third biggest value? (a) w (b) -4/9 (c) 4
b
Let n = 57.517 - -0.083. Let m = -58 + n. Which is the third biggest value? (a) m (b) 1 (c) -4/3
c
Let i = -3 - 2. Let m be (1/(-7))/(132/(-154)). What is the smallest value in i, m, 3/5?
i
Suppose 2 = 4*p - 3*p - m, 0 = 3*p - 5*m. Suppose -3*k - p*y + 11 = -5*k, 0 = 5*k - y + 16. Which is the smallest value? (a) -3/2 (b) 0.1 (c) k (d) -4
d
Let n = 7.1 - 8. Let w = n - 0.1. Which is the second biggest value? (a) 2 (b) -2/11 (c) w
b
Let y = -297 - -297.3. Which is the second smallest value? (a) y (b) -0.2 (c) 1
a
Suppose -259*u - 5400 = -57*u + 256. Suppose -3*i + o + 24 = i, i + 3*o + 7 = 0. What is the smallest value in u, 2/15, i?
u
Let l = 6/109 + -428/3815. Which is the second biggest value? (a) -0.3 (b) 0.4 (c) l
c
Let k(l) = 18*l**2 - 127*l. Let q be k(7). Which is the third smallest value? (a) q (b) 0 (c) 3 (d) 1/5
d
Let i = -1.084 + 1.044. What is the third biggest value in -24, 4/7, i, 0.3?
i
Let o be (30/75)/(6/(-5)). What is the smallest value in -0.6, o, 0?
-0.6
Let u = 6 - 8. Let a = -285 - -332.1. Let g = 47 - a. What is the smallest value in g, 1/5, u?
u
Let w = -231 - -157. Let u = 73 + w. What is the third biggest value in u, 6, 0?
u
Let o = -992/2607 + 4/237. What is the second biggest value in 5, -4, o?
o
Let n be 2/(-11) - (-44335)/242935. Let k = n - -16002740/75089. Let x = -213 + k. What is the third smallest value in -0.1, 5, x?
5
Let j = 2498 + -2494. Which is the third smallest value? (a) 1 (b) j (c) -28
b
Let q be 30*(-1)/(-6)*3. Let k be ((-1)/q)/((-4)/5). Let x = 92 + -1382/15. Which is the third biggest value? (a) k (b) 0.2 (c) x
c
Let j be 2 - 192/104 - 32/39. Let z(s) = s**3 + 2*s**2 + 4*s + 3. Let x be z(-2). Which is the biggest value? (a) x (b) j (c) 2 (d) 1
c
Let p = 298/15 + -111/5. Let f(o) = 3*o + 54. Let g be f(-17). Which is the biggest value? (a) p (b) -3/5 (c) g
c
Let y = -6.4 + 6. Let g = 99.44 + -100. Let i = g + 0.46. What is the third smallest value in 0, y, i?
0
Let s = 0.365 + -0.165. What is the second smallest value in 5, -5, s, 48?
s
Let r be 7/28 + (-49)/260. What is the smallest value in 4, r, 2?
r
Let f = -26 - -46. Let i be ((-10)/f)/((-10)/(-24)). Let u = -4/5 - i. Which is the smallest value? (a) u (b) 8 (c) -0.5
c
Suppose 0 = -4*x + 4*j + 20, -4*x + 5*j + 7 + 18 = 0. Let u = 91 + -89. Let q be 20/(-40)*(-1)/(u/20). What is the second smallest value in q, x, 2/7?
2/7
Suppose 5*c - 4*z = 1, -3 = -c + 5*z + 14. What is the fourth smallest value in -1/8, c, 6/11, -15?
6/11
Suppose -2 = -v + 2. Suppose n + 9 = v*n - 5*x, x = -n - 5. Let o = -216 - -221. Which is the smallest value? (a) -3 (b) n (c) o
a
Let g = -0.34 + -0.06. Let s be 4/18*((15 - 15) + 6). Which is the second smallest value? (a) -6/11 (b) g (c) s (d) 3/2
b
Let d = -1.47 - 2.53. What is the smallest value in 1/5, -0.5, 1, d?
d
Let o = -2 - -1.6. Let j be ((-6)/4)/(-9*3/90) - 2. What is the third smallest value in j, o, -0.1?
j
Let d = -24.9 - -3.9. What is the second smallest value in -4/3, d, 0.4?
-4/3
Let f = -166 - -165. Which is the biggest value? (a) 0.4 (b) -0.1 (c) f (d) 9/4
d
Let t = 2041 - 2040.7. Let n = 1 - 1.5. Which is the third biggest value? (a) 2/19 (b) t (c) -0.1 (d) n
c
Let c(g) = 16*g - 124. Let f be c(8). What is the fourth biggest value in -1/3, f, -4, 0.01?
-4
Let c = 40.56 + -40. Let r = 0.86 - c. What is the third smallest value in r, -0.3, 4, -5?
r
Let g be (30/(-36))/(5*10/(-30)). Let f(t) = -3*t - 4. Let r be f(-3). Which is the third biggest value? (a) 11 (b) r (c) 2 (d) g
c
Let r = -82.8 + 157.4. Which is the third biggest value? (a) 1 (b) r (c) 2
a
Let c = 517.2 - 517. What is the third smallest value in c, -6, 11?
11
Let g = 0.0003 - -0.0127. Which is the third biggest value? (a) g (b) -3 (c) -0.03 (d) 2/7
c
Let s = -823/2 + 413. Let z = -4 + 6. What is the smallest value in 2/17, z, s?
2/17
Let p = 0.3 + 54.7. Let k = -54.8 + p. Let h = -2/59 - 226/295. What is the third smallest value in 2, h, k?
2
Suppose -3*f - 3*t = -0*f + 492, -5*t = -2*f - 314. Let k be (12/f)/(4/(-6)). Which is the smallest value? (a) k (b) -2/7 (c) -0.2
b
Let v be 2/5*10/(-26). Let t = -38.7 - -39. Let d(o) = -3*o**2 + o. Let r be d(-1). What is the second smallest value in t, v, r?
v
Let f = -1.59 + -0.01. Let k = f - -6.6. Let b = -0.4 + 4.4. What is the biggest value in 2/5, b, k?
k
Let m = -0.03 - 0.01. Let k = m - -0.24. Let f = k - -0.3. Which is the third biggest value? (a) 1/5 (b) f (c) -1/2
c
Let j = -8 + 6. Suppose -2*w = 3*w - 300. Let o be w/50*(-2)/(-6). Which is the second smallest value? (a) -3 (b) j (c) o
b
Suppose s + 4*i - 36 = -4*s, -i = -4. Suppose 0 = -c + s - 6. What is the second biggest value in 2/5, c, 5?
2/5
Let h be -4*11/22*2/(-14). What is the second biggest value in 3, 7/2, h?
3
Let w = 800 - 799. Which is the fourth biggest value? (a) 0.4 (b) w (c) 114 (d) 2/15
d
Let t = -0.15 + 0.45. Let g = 203/6 + -34. Which is the fourth biggest value? (a) -0.5 (b) 2 (c) t (d) g
a
Let r = 17.32 + -19.3. Let o = -0.02 + r. What is the second biggest value in o, -2/11, -3, 3/8?
-2/11
Let u = 155 - 154. What is the second smallest value in -2.9, u, 0.2?
0.2
Suppose 4*t - 5*l = 21, 3*t - 4*l + 1 - 16 = 0. Let q be (-12)/t*3/18. What is the second biggest value in q, -4, 4?
q
Let l = 0.562 + -4.452. Let i = 0.11 - l. Let v = -3/19 - 7/76. Which is the second smallest value? (a) i (b) v (c) 5/6
c
Suppose -10*m + 11*m - 5 = 2*c, 3*c + 11 = -2*m. What is the second biggest value in -0.1, c, -6.6?
c
Let r = -2 + 2.048. Let x = 13.752 + r. Let f = 14 - x. Which is the smallest value? (a) 1/4 (b) -2/7 (c) f
b
Let h = 0.7 - -0.3. Let f = -2.742 - -3.042. Let r = 2.5 + -2. What is the second smallest value in r, f, h?
r
Let t = -992 + 1005.26. Let f = 0.26 - t. Let o = -12 - f. What is the third smallest value in 3, 0, o?
3
Let j = 17448/7 + -2493. Let v = 703/20 - 182/5. Let s = 4.8 - 5. Which is the third smallest value? (a) s (b) v (c) j
a
Let v = 4.79 - 0.89. Let k = v + -5.9. What is the second smallest value in k, -0.06, -0.4?
-0.4
Let s = -267 + 298. Which is the biggest value? (a) -4 (b) 3 (c) -1/
|
{
"pile_set_name": "DM Mathematics"
}
|
irst derivative of -16004*o**3 - o**2 + 41916.
-48012*o**2 - 2*o
Find the first derivative of 55*g*l*r**3 - 174*g*l*r**2 + 2*g*l*r - 266*g*r**2 + 15*g*r + r**3 wrt l.
55*g*r**3 - 174*g*r**2 + 2*g*r
What is the third derivative of -10976*g**5 + 6*g**3*h - 3*g**2 + 8995*g*h wrt g?
-658560*g**2 + 36*h
What is the third derivative of q*z**6 - 24070*q*z**3 - 2*q*z**2 + 79*q*z + 3*z**2 + 14 wrt z?
120*q*z**3 - 144420*q
What is the third derivative of 14*m**6 - 28*m**5 + 7*m**4 + 46*m**2 - 476*m - 21?
1680*m**3 - 1680*m**2 + 168*m
Find the second derivative of 335594*f**4 + 244377*f.
4027128*f**2
What is the first derivative of 5207*k**2*m**3 - 36*k**2 + 25351*m**3 - 3*m**2 wrt k?
10414*k*m**3 - 72*k
What is the second derivative of -2*h**3 + 2*h**2*o - 554*h**2 + 114*h*o - 8*h - o + 2 wrt h?
-12*h + 4*o - 1108
What is the third derivative of 45*c**5 - 113*c**4 + 3*c**3 - 2*c**2 - 4685*c - 4?
2700*c**2 - 2712*c + 18
What is the first derivative of 3132161*h + 722376?
3132161
Find the third derivative of 3*n**4 - 8792*n**3 + 3283*n**2 - 11.
72*n - 52752
Find the second derivative of 75676*g**2*n*r - 2*g**2*r - g**2 - 3*g + 28*n + 279*r wrt g.
151352*n*r - 4*r - 2
What is the third derivative of -1356*k**5 - 2*k**3*z + 1314*k**2 + z wrt k?
-81360*k**2 - 12*z
Find the third derivative of 104962*g**3 + g**2 + 96104.
629772
Differentiate 2*a**2*k**2*p + 2*a**2*p**3 + a**2*p**2 - 2*a**2 + 39485*a*k*p**3 + 2329*a*p**3 wrt k.
4*a**2*k*p + 39485*a*p**3
Find the third derivative of 371734*m**3*x**2 + 1790*m**2 - 206*x**2 wrt m.
2230404*x**2
What is the derivative of -115044*x**2 - 183784?
-230088*x
What is the second derivative of 33558*o**5 - o - 50250 wrt o?
671160*o**3
What is the third derivative of 311894*h**5 - 2*h**4 - 3*h**3 - 2*h**2 - 8323*h - 10?
18713640*h**2 - 48*h - 18
Find the second derivative of -d*l**2*m + 5*d*l**2 + 3*d*l*m - d*l - 2*d*m + 12176*l**2 - 5583*l*m + 2 wrt l.
-2*d*m + 10*d + 24352
What is the second derivative of -124779*x**4 + 53570*x?
-1497348*x**2
What is the first derivative of -74362*m*t - m - 4918 wrt t?
-74362*m
Find the third derivative of -3576230*i**5 + 1410*i**2 + 380.
-214573800*i**2
Differentiate -2*o**4 + 2*o**3 - 318257*o**2 - 1164592 wrt o.
-8*o**3 + 6*o**2 - 636514*o
Differentiate 4*z**4 + 88578*z**2 + 249581 wrt z.
16*z**3 + 177156*z
What is the first derivative of -335675*o - 172972 wrt o?
-335675
Differentiate -6*s**4*v**2 + 106758*s**4*v - 418346*v**2 - 1 wrt s.
-24*s**3*v**2 + 427032*s**3*v
Differentiate 17453*b + 38662 with respect to b.
17453
Find the second derivative of -6442*s**4*z**3 + 50*s**2*z**3 + 17*s - 146*z**3 - 136 wrt s.
-77304*s**2*z**3 + 100*z**3
Differentiate -322383*n**4 - n**3 + 3*n**2 + 205145 with respect to n.
-1289532*n**3 - 3*n**2 + 6*n
What is the third derivative of -58*g**6 + 245*g**3*q**3 - 101*g**2*q**3 - 27*g**2 + g*q wrt g?
-6960*g**3 + 1470*q**3
Find the third derivative of -4728*s**6 - s**5 - 2*s**3 + 4*s**2 + 2542.
-567360*s**3 - 60*s**2 - 12
Find the second derivative of -75110*b**2 + 1922*b.
-150220
What is the third derivative of 147*c*o**3 + 2*c*o**2 + 378*c*o + 221*c - 775*o**3 wrt o?
882*c - 4650
Find the second derivative of -14*u**4 - 1674*u**2 - 8*u - 291.
-168*u**2 - 3348
Find the first derivative of -32405*l*o + 3*l + 6531*o + 41 wrt l.
-32405*o + 3
Differentiate 3*j**2 - 90533*j + 321598.
6*j - 90533
What is the third derivative of -62053*n**3 + 12117*n**2 - n?
-372318
What is the third derivative of 18403*c**4*j - 24*c**4 + 654*c**2*j - 2*c**2 + 3*c*j + 2*j + 1 wrt c?
441672*c*j - 576*c
What is the third derivative of 2*j**3*l*w**2 + 37424*j**3*w**2 + 157*j**2*w - 8*j*l*w**2 - 27*l*w**2 wrt j?
12*l*w**2 + 224544*w**2
Find the first derivative of 16000*d**2 + 5*d - 1426482 wrt d.
32000*d + 5
Find the second derivative of 4*d*p**2 - 3410*d - 78853*p**2 + 4*p wrt p.
8*d - 157706
What is the second derivative of 2*w**4 + 4*w**3 - 4029*w**2 - 17*w + 1147 wrt w?
24*w**2 + 24*w - 8058
What is the third derivative of -3056*j**6 + 288*j**5 - 1479952*j**2 wrt j?
-366720*j**3 + 17280*j**2
What is the third derivative of -4*g**3*m**3 - 352*g**3*m**2 + 81*g**3*m - g**2*m**4 + 16289*g*m**3 - 3*m wrt m?
-24*g**3 - 24*g**2*m + 97734*g
Find the second derivative of 64942*h**5 + 14352*h + 32.
1298840*h**3
Find the second derivative of -8*j**5 - 54*j**4*z - 128*j*z - 6*j + 2 wrt j.
-160*j**3 - 648*j**2*z
What is the derivative of 486*a**2*o - 2*a**2 + 177*a*o - 30*a + 7020 wrt o?
486*a**2 + 177*a
What is the derivative of -21*n**2*p - 2*n**2 - 438*n*p - 2*n - 243794*p wrt n?
-42*n*p - 4*n - 438*p - 2
What is the second derivative of -22*q**4 - q**3 - 36*q**2 - 1650603*q wrt q?
-264*q**2 - 6*q - 72
Differentiate 19*f*u + 5525*f*v**3*x + f*v*x + 1365*u*v*x - v**3 - 3*v*x - 16*v wrt f.
19*u + 5525*v**3*x + v*x
What is the third derivative of -11407*r**6 - 2*r**5*y - 17*r**2*y - 27*r**2 + 21*r wrt r?
-1368840*r**3 - 120*r**2*y
Find the third derivative of -3640574*l**3 + 4589044*l**2.
-21843444
What is the derivative of 875388*u**2 + 39148?
1750776*u
What is the second derivative of 6*p**3 + 717*p**2 - 120*p + 178 wrt p?
36*p + 1434
Find the third derivative of 11*q**4 - 3012*q**3 + 32709*q**2 wrt q.
264*q - 18072
Find the third derivative of -67*n**5 - 2606*n**3 - 10*n**2 - 38*n + 1.
-4020*n**2 - 15636
What is the third derivative of -435099*f**4 + 2*f**3 - 272806*f**2?
-10442376*f + 12
Differentiate -13*j*r**2*y - 2*j*r*y + 20*j*y + 2*j - 392*r - 23*y + 1 with respect to r.
-26*j*r*y - 2*j*y - 392
Find the third derivative of -43479*s*t**3 + s*t - 14064*t**2 wrt t.
-260874*s
Find the first derivative of 3269*n**2*x**2 + 2*n**2 - 6*n*x**2 + 21*n - 314 wrt x.
6538*n**2*x - 12*n*x
What is the derivative of -2*g*m**2 - 587145*g - 11771*m**2 + 4*m wrt m?
-4*g*m - 23542*m + 4
What is the second derivative of -2*l**3 + 14342*l**2 + 34398*l wrt l?
-12*l + 28684
What is the first derivative of -1031*a*d**2*x - 3*a*d*x + 1524*a*d - 9*d**2 wrt x?
-1031*a*d**2 - 3*a*d
What is the third derivative of -159246*q**3*z**3 + 902*q**3*z + 192*z**2 wrt z?
-955476*q**3
What is the third derivative of -9564*z**5 + 12*z**2 - 221*z wrt z?
-573840*z**2
What is the third derivative of -41309*x**3 - 208*x**2 - 32*x wrt x?
-247854
What is the second derivative of -151615*n**3 + 19*n + 4178 wrt n?
-909690*n
Find the second derivative of 6*j**3 + 807*j**2 + 31616*j wrt j.
36*j + 1614
Find the third derivative of -41*c*t*z**3 - 265*c*t + 5*t**2*z**3 + 3*t**2*z**2 + t**2*z + 20*t**2 + 257*t*z**3 + t wrt z.
-246*c*t + 30*t**2 + 1542*t
Differentiate -28*b*h**2 + 2*b*h + 40387*b + 17678*h**2 - 25*h - 2 with respect to b.
-28*h**2 + 2*h + 40387
What is the first derivative of -3*a**2*h**2 - 2297*a**2*p - 3*a**2 + 2036*a*h + 4*h**2*p**2 wrt p?
-2297*a**2 + 8*h**2*p
Find the third derivative of -407136*k**3 - 185643*k**2 wrt k.
-2442816
Find the second derivative of -2*c**3*m**2 - 3*c**3*m - 297*c**2*m**2 + 2*c*m**2 - 147*c*m - 44 wrt c.
-12*c*m**2 - 18*c*m - 594*m**2
What is the second derivative of l**5 + 603*l**4 + 7*l**2 - 47070*l?
20*l**3 + 7236*l**2 + 14
Find the third derivative of 58205*g**3*w**4 - 3*g**3*w**2 - 49478*g**2*w**2 + 2*w**6 wrt w.
1396920*g**3*w + 240*w**3
What is the first derivative of -5835*h**4*u - 56*h**3*u**3 + 4*u**3 - 32344*u**2 wrt h?
-23340*h**3*u - 168*h**2*u**3
What is the derivative of 310*i**3 - 2*i**2*p**2 - 6*i*p**2 + 15435*p**2 wrt i?
930*i**2 - 4*i*p**2 - 6*p**2
Find the third derivative of 6*b*g**4 - 20*b*g**2 - b*g - 231*b - g**5 - 19833*g**3 - 18 wrt g.
144*b*g - 60*g**2 - 118998
What is the first derivative of 67*q**3*x + 201767*q**3 + 22*q**2*x**2 - q**2*x - x wrt x?
67*q**3 + 44*q**2*x - q**2 - 1
What is the third derivative of 17*j**5 - 803*j**4 - 121243*j**2 wrt j?
1020*j**2 - 19272*j
What is the derivative of -83946*y + 1447 wrt y?
-83946
What is the first derivative of 11965*c**2*s + 19*c*s - 2*s - 613787 wrt c?
23930*c*s + 19*s
What is the third derivative of -6536*b**4 + 6*b**3 - 24184*b**2 + 2*b wrt b?
-156864*b + 36
Find the third derivative of -12*q**5 + 4358*q**4 - 813525*q**2.
-720*q**2 + 104592*q
Find the second derivative of -148*i*o**3*v + 2*i*o*v - 104649*i*o + 3*o**3 - 24*o**2*v wrt o.
-888*i*o*v + 18*o - 48*v
Find the third derivative of -526*b**6*c**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
**2/4 - 964001*k/4.
k*(k - 964001)/4
Factor 4*h**2 + 4148232*h + 145183220.
4*(h + 35)*(h + 1037023)
Suppose -a**2/4 - 1651233*a/2 - 2726570420289/4 = 0. Calculate a.
-1651233
Factor -x**3/6 - 3220*x**2/3 - 443450*x/3 - 5145000.
-(x + 70)**2*(x + 6300)/6
Factor -b**3 - 32114*b**2 + 674857*b + 706970.
-(b - 22)*(b + 1)*(b + 32135)
Suppose -2*j**3 + 41508*j**2 + 1788378*j + 3410708 = 0. Calculate j.
-41, -2, 20797
Determine q so that q**3/9 + 9478*q**2/9 + 292825*q/9 - 100768/3 = 0.
-9447, -32, 1
Find p such that -12076*p**2 - 3828108*p - 5072 = 0.
-317, -4/3019
Let f**3/4 - 4495*f**2/2 + 4452*f + 377496 = 0. What is f?
-12, 14, 8988
Factor -3*w**2 - 17739*w + 26106780.
-3*(w - 1220)*(w + 7133)
Let -2*z**4 + 566154*z**3 - 40103351310*z**2 + 5243827748998*z = 0. What is z?
0, 131, 141473
Solve -3*k**4/5 - 3462*k**3/5 + 6960204*k**2/5 - 3138625626*k/5 + 88037077611 = 0 for k.
-2345, 397
Let 2*g**3 - 56168*g**2 - 1349696*g + 14391296 = 0. Calculate g.
-32, 8, 28108
Solve -g**4/4 + 1234*g**3 + 2901657*g**2/4 + 100612936*g - 101339584 = 0.
-272, 1, 5479
Factor -2*b**2 + 90003372*b - 1012575871421298.
-2*(b - 22500843)**2
Factor 2*b**2 + 57244824*b + 409621234348872.
2*(b + 14311206)**2
Find o, given that -25*o**2 - 49280*o - 4819440 = 0.
-1868, -516/5
Factor 1669*k**2 - 17981800*k - 64644.
(k - 10774)*(1669*k + 6)
Determine q so that 2*q**5/7 + 808*q**4/7 - 211332*q**3/7 - 638824*q**2/7 - 91490*q - 213744/7 = 0.
-584, -1, 183
Let -2*p**2 - 52112*p + 37623154 = 0. What is p?
-26759, 703
Determine v, given that 4*v**5 + 1501196*v**4 + 31523508*v**3 + 58543444*v**2 + 28521128*v = 0.
-375278, -19, -1, 0
Factor -312510000080*o**3 - 625027500280*o**2 - 15000285*o - 90.
-5*(o + 2)*(250004*o + 3)**2
Factor 2558*o**3/3 + 767393*o**2/6 + 4796075*o - 13125/2.
(o + 75)**2*(5116*o - 7)/6
Factor -2*b**2/7 + 267950*b/7 + 1607772/7.
-2*(b - 133981)*(b + 6)/7
Find h, given that -h**3/4 - 19827*h**2/4 - 28209384*h - 49569690015 = 0.
-11535, -4146
Solve 4*w**3 - 415788*w**2 - 142550388*w - 12198058596 = 0 for w.
-171, 104289
Find m, given that 3*m**5 - 43885536*m**4 + 160495110271611*m**3 - 641979256177446*m**2 - 1765444018711884*m - 962969608377288 = 0.
-1, 6, 7314254
Factor 4*j**2 - 2580208*j + 33542028.
4*(j - 645039)*(j - 13)
Factor i**2 + 1646089*i + 13168648.
(i + 8)*(i + 1646081)
Factor 2*n**2 - 92136*n - 645050.
2*(n - 46075)*(n + 7)
Factor -2*g**3 - 740*g**2 - 65696*g + 274752.
-2*(g - 4)*(g + 162)*(g + 212)
Suppose y**4/2 - 97*y**3/2 + 1313*y**2 - 1806*y - 202860 = 0. Calculate y.
-10, 23, 42
Factor -b**2 - 35057*b + 280520.
-(b - 8)*(b + 35065)
Factor 3*d**2/5 - 10816728*d/5 - 10816731/5.
3*(d - 3605577)*(d + 1)/5
Find j such that 2*j**2/5 + 40706*j - 5700408/5 = 0.
-101793, 28
Determine h, given that 24*h**5 + 700*h**4 + 212*h**3 - 75728*h**2 + 132528*h + 24192 = 0.
-21, -18, -1/6, 2, 8
Let 3*g**5 - 5788815*g**4/4 + 349068257943*g**3/2 - 218151651618*g**2 - 1658048356800*g - 1047193920000 = 0. What is g?
-2, -3/4, 4, 241200
Suppose -21*m**5 - 4290*m**4 - 21825*m**3 + 52620*m**2 + 16716*m = 0. What is m?
-199, -7, -2/7, 0, 2
Determine i, given that -i**5/8 + 5783*i**4/8 - 4250461*i**3/4 + 202148063*i**2/4 - 2196876021*i/8 + 3181019643/8 = 0.
3, 43, 2867
Suppose i**3/2 - 25153*i**2/2 + 160395515*i/2 - 27910605251/2 = 0. Calculate i.
179, 12487
Solve 6*f**2/7 + 97249674*f/7 - 291749076/7 = 0 for f.
-16208282, 3
Determine t, given that 21*t**3/4 + 385893*t**2 + 551259*t - 441012 = 0.
-73502, -2, 4/7
Factor -2*w**2/17 - 3090986*w/17 + 3090988/17.
-2*(w - 1)*(w + 1545494)/17
Solve -2*t**3 - 50890*t**2 - 3603384*t - 7003224 = 0.
-25374, -69, -2
Solve 4*m**4 - 4220652*m**3 + 1113379508140*m**2 - 5566808907348*m + 4453433619856 = 0.
1, 4, 527579
Solve 5*z**3 - 10555*z**2 + 1520040*z + 9501300 = 0.
-6, 162, 1955
Find s, given that -33*s**5 + 1008507*s**4 - 6874971*s**3 + 9807933*s**2 - 3024816*s - 916620 = 0.
-2/11, 1, 5, 30554
Determine i so that i**4/4 - 4209*i**3/2 - 592935*i**2/4 - 2599450*i = 0.
-35, 0, 8488
Factor -4*i**3 - 1825*i**2 + 142072*i + 35632.
-(i - 68)*(i + 524)*(4*i + 1)
Determine w, given that -w**5 + 242*w**4 + 10753*w**3 - 119294*w**2 - 191364*w + 770040 = 0.
-46, -3, 2, 10, 279
Suppose -4*f**4 + 11160*f**3 - 7938736*f**2 + 215668008*f - 1426556428 = 0. What is f?
11, 17, 1381
Factor -2*k**2/13 - 1513432208*k/13 - 286309631026469408/13.
-2*(k + 378358052)**2/13
Factor -j**3 + 1204*j**2 - 12503*j - 739660.
-(j - 1193)*(j - 31)*(j + 20)
Find x, given that -3*x**2 - 53649*x + 10740114 = 0.
-18081, 198
Let 75*z**5 - 17985*z**4 + 299652*z**3 - 730608*z**2 + 445248*z - 79920 = 0. What is z?
2/5, 2, 15, 222
Determine g so that -266450*g**3 - 147436640*g**2 + 394042968*g - 262649952 = 0.
-556, 486/365
Determine n, given that 2*n**4/9 - 67946*n**3/9 + 192394750*n**2/3 - 1730261950*n/9 - 5769804500/9 = 0.
-2, 5, 16985
What is r in 4*r**5/9 + 50266*r**4/9 - 13627054*r**3/9 + 6800960*r**2/9 = 0?
-12832, 0, 1/2, 265
Let 152*a**4/9 - 13076*a**3/3 - 26256*a**2 - 38028*a + 3168 = 0. Calculate a.
-3, 3/38, 264
Factor 2*l**2/7 - 7773884*l/7 + 7554159055682/7.
2*(l - 1943471)**2/7
Find w such that -2*w**5/5 - 329448*w**4/5 - 13545897282*w**3/5 + 1737883977148*w**2/5 - 11470542943608*w + 107862265976976/5 = 0.
-82426, 2, 63
Solve -2*t**3 + 2018*t**2 - 106622*t - 108642 = 0.
-1, 57, 953
Let 3*k**5 - 315*k**4 + 6345*k**3 + 30255*k**2 + 9612*k - 45900 = 0. Calculate k.
-3, -2, 1, 34, 75
Factor 3*b**3/4 - 84339*b**2/4 + 21084*b.
3*b*(b - 28112)*(b - 1)/4
Suppose -53926*s**3 + 107862*s**2 - 20*s = 0. Calculate s.
0, 5/26963, 2
Solve -16*u**4/9 - 1060*u**3/9 + 6760*u**2/9 + 97180*u/9 + 7952/3 = 0.
-71, -7, -1/4, 12
Suppose -m**2/2 + 10306850*m - 53115578461250 = 0. Calculate m.
10306850
Determine k, given that -2*k**3/7 + 738294*k**2/7 - 68136599502*k/7 + 340664540410/7 = 0.
5, 184571
Determine m so that 5*m**2 - 52866510*m + 139743393979005 = 0.
5286651
Solve -a**2 - 120812*a - 2295067 = 0 for a.
-120793, -19
Let 3*v**4/7 - 61533*v**3/7 + 315925461*v**2/7 - 4097375967*v/7 + 3781512036/7 = 0. Calculate v.
1, 12, 10249
Let -k**4/5 - 16828*k**3/5 + 50491*k**2/5 - 33662*k/5 = 0. What is k?
-16831, 0, 1, 2
Determine l, given that l**3 - 78893*l**2/2 + 59168*l - 39445/2 = 0.
1/2, 1, 39445
Solve x**2 + 287217*x + 287216 = 0.
-287216, -1
Factor 2*g**2/3 + 142772*g.
2*g*(g + 214158)/3
Find o such that 5*o**5 + 1381040*o**4 - 23478915*o**3 + 58007270*o**2 + 5524220*o - 77343000 = 0.
-276225, -1, 2, 14
Find t, given that 2*t**3/5 - 41954*t**2/5 - 251828*t/5 + 671456/5 = 0.
-8, 2, 20983
Factor -3*n**4 + 4872792*n**3 - 2638142576640*n**2 + 476033471388057600*n + 26666148468621312000.
-3*(n - 541440)**3*(n + 56)
What is k in 2*k**3 - 2169674*k**2 + 588484472912*k - 26477407873440 = 0?
45, 542396
What is c in 3*c**4/2 + 175173*c**3/2 + 2627145*c**2/2 + 13134975*c/2 + 10945500 = 0?
-58376, -5
Factor 4*u**2/3 + 520328*u/3 + 520324/3.
4*(u + 1)*(u + 130081)/3
Factor -3*f**3/2 + 1350741*f**2/2 - 152039744625*f/2 - 456131390625/2.
-3*(f - 225125)**2*(f + 3)/2
Factor -99*r**2 - 5345004*r + 323940.
-3*(r + 53990)*(33*r - 2)
Factor 4*c**2/9 + 87280*c/9 + 299807116/9.
4*(c + 4271)*(c + 17549)/9
Factor 9*s**3 + 589386*s**2 - 16901279*s + 121139084.
(s + 65516)*(3*s - 43)**2
Let -4*j**2/3 + 5331640*j/3 - 10663264/3 = 0. What is j?
2, 1332908
Suppose -p**4/7 + 16322*p**3/7 - 65272*p**2/7 = 0. What is p?
0, 4, 16318
Factor 3*t**3 - 8541*t**2 + 3361725*t + 4233688125.
3*(t - 1675)**2*(t + 503)
Solve -5*l**2 + 2924065*l - 140343600 = 0.
48, 584765
Factor -2*w**3 + 676*w**2 - 48550*w - 259900.
-2*(w - 230)*(w - 113)*(w + 5)
Factor -w**3 - 23911397*w**2 + 95645600*w - 95645604.
-(w - 2)**2*(w + 23911401)
Solve -2*m**3/3 + 1095560*m**2/3 - 116112506*m/3 + 1025610844 = 0 for m.
53, 547674
Factor -5*y**2 - 119045*y + 2859960.
-5*(y - 24)*(y + 23833)
Solve -3*j**5 - 72*j**4 + 147432*j**3 + 288*j**2 - 589680*j = 0 for j.
-234, -2, 0, 2, 210
Suppose u**3 + 7546*u**2 + 1124764*u + 6477144 = 0. Calculate u.
-7394, -146, -6
Let 5*s**3/4 + 114665*s**2/2 - 2064305*s/4 + 1605625/2 = 0. Calculate s.
-45875, 2, 7
Let -2*t**4 + 1710*t**3 - 342478*t**2 - 3976830*t = 0. Calculate t.
-11, 0, 351, 515
Solve -2*p**2/7 - 4906*p/7 + 1780908/7 = 0 for p.
-2774, 321
Let 3*l**2 + 18733656*l - 18733659 = 0. Calculate l.
-6
|
{
"pile_set_name": "DM Mathematics"
}
|
25 - -24) + -133 + -147.
-131
47 - ((-10 - (-5 - (7 - 3))) + 7) - 2
39
What is (11 + 12 - 17) + (-136 - 34) - -17?
-147
Evaluate 0 + 35 + 36 + (1 - 51).
21
Evaluate -53 - (17 + (56 - 118)).
-8
0 + -1 + -3 + -13 + 0 - 12
-29
What is (0 - -48) + -309 + 306?
45
-1 + -35 + (-20 - (34 - 64)) - 9
-35
(4 - 14) + (60 - 43)
7
31 + (2 - -6 - (22 + 66))
-49
What is -110 - (21 - ((-18 - 2) + (9 - -13)))?
-129
Evaluate (-3 + 1 + 0 - 42) + (-74 - -68) - -10.
-40
What is -18 + (9 - 82) + (-3 - -28)?
-66
Calculate 41 + (13 - (49 - (-12 + 28))).
21
What is (15 - (25 + -6)) + -24 + -1 + -4?
-33
What is (-2 + 2 - (17 + 0)) + -99203 + 99180?
-40
What is the value of -19 + (-121 - -126) + (3 - -4)?
-7
4 + (-86 - (2 - -26 - 9 - 8))
-93
What is the value of (1 + -5 - (-62 - -49)) + (-5 - (-4 - -3))?
5
What is 9 + (-18 - -8) + 4 + -7 + 78?
74
What is the value of -10 - (-54 + 12 + -2) - (-17 - -31)?
20
What is the value of 11 - (-10 - (10 - 7)) - (-6 + 10 - -6)?
14
Evaluate 4 - (-8 + 3 + -3 + (-117 - -175)).
-46
Calculate 24 - (32 + (41 - 23)) - 6.
-32
What is the value of -23 - (87 + -46 + 27)?
-91
What is (-5 - -39) + (16 + -20 - 10)?
20
Evaluate (2 - 1 - 29) + 0 + -49 + 40.
-37
Evaluate -22 + -2 + 1 - (-5 + 5 + -11).
-12
Evaluate -49 + (31 - 20 - (57 - 52 - (-4 - -1))).
-46
What is -45 + 89 - (125 + 28)?
-109
What is -35 - (11 - (9 + -20)) - -16?
-41
What is 42 + 34 + -58 + -4?
14
What is -20 + (65 - 72 - 51)?
-78
Calculate 101 + (55 - -1) + -230.
-73
What is 1 - (-5 + 152 - 77)?
-69
Evaluate 64 + -41 + 2 + -8 + (-24 - -35).
28
-39 - (112 - (10 + 154))
13
Calculate -1 + 59 - (-33141 - -33310).
-111
-116 - -111 - (-4 - 2) - -33
34
What is -26292 + 26282 - (-1 + -84 + -1)?
76
What is (-12 - (14 + -54)) + -54 + 4 + -3 + -9?
-34
Calculate (-260 + 256 - (1 - -14)) + 0 + 6.
-13
What is (-37 - -22 - (3 + -11 + -11)) + 16?
20
(-54 - -203) + -149 - ((1 - -49) + 1)
-51
Calculate (23 + -17 - (-37 + 9)) + -102.
-68
95 + -128 + 49 - (2 + 2 + 81)
-69
What is the value of (6 - (16 + -25)) + -43 + (11 - 24)?
-41
-37 + -14 + 15 + (16 - -72)
52
Calculate (-25 - (-3 + -1)) + (37 - (20 - -17)).
-21
Calculate -25 - -1 - (-16 + 27 + -7) - 3.
-31
Evaluate 55 + -29 + (14 - (-10 - (-6 + -6))).
38
What is 13 + (-50 - -91) + -43?
11
What is the value of 11 - (-3 + 57) - -58?
15
Evaluate -103 - (-89 - -81 - 110).
15
7 - -30 - -20 - (-5 + -4 + -3 + 11)
58
Evaluate -27 - (31 - -3 - -3 - 25).
-39
What is -37 - (-53 + 109 + -52)?
-41
23 - (42 + 35) - -31
-23
What is 58 + -40 + -29 + 53?
42
What is 50 + (-61 - 90) + 43?
-58
Calculate 14 + (-500 + 497 - (21 + -1)) - 104.
-113
What is the value of (27 - 47) + (-6 - (-1 - (2 - 5))) + 4?
-24
Evaluate (-4 + 12 - -1) + (-6 - -21 - 17) + 22.
29
What is the value of (7012 - 7124) + 19 + -1?
-94
Calculate (-109 - -150 - 39) + 20 + -1.
21
-7 - (-63 + 74 + 38 + -3) - -8
-45
What is the value of -36 + -24 + 42 + 47?
29
What is the value of -25 + -18 + 21 + 12 - (0 + -47)?
37
What is the value of 105 + (-150 - (-44 + 70))?
-71
Calculate -15 - (6 + (-11 - 40)).
30
Evaluate -6 + 25 + -27 + 17 + (-3 - -45).
51
Calculate 0 + 19 - ((112 - -74) + -186).
19
Evaluate (-90 - -6 - -4) + 8 + -23 + -2.
-97
What is -8 - (-88 + 11 + -26 + 24)?
71
What is (-1 - 2) + -4 + -26 + -27 + 0 + 1?
-59
What is 5 + (-25 - -15) - (16 - 18) - 44?
-47
67 + (-65 - (-80 + 35))
47
Evaluate -22 - (8 + (20 - 24 - 8)).
-18
Evaluate (-25 - 30) + 46 - ((-11 - -7) + 3 + -14).
6
Calculate -9651 - -9654 - (18 - (-2 + 1)).
-16
Evaluate 9 - (-8 + 10 + 3 + (-3 - 8)).
15
Evaluate -26 - (1 + (16 + -2 - (20 - -9 - 20))).
-32
What is the value of 45 - (12 + (35 + -25 - 24))?
47
What is 56 - (-54 - -80) - (0 - 1 - 2)?
33
What is the value of (18 - -1) + (317 - 330) - (-2 - (46 + 1))?
55
What is (33 - (1 + 5)) + -11?
16
What is -25125 + 25224 + (1 - 157)?
-57
(-93 - (32 - 45 - 9)) + -21
-92
Calculate 51 + -25 - 17 - 22 - -70.
57
Evaluate 200 + -131 + -18 + -21.
30
What is 13 + (4 - 16) + 0 + (2 - 8) + 12?
7
Evaluate 41 + 1 - (7403 + -7314).
-47
What is the value of 4 + (5 + (-3 - -1) - 66)?
-59
What is the value of 505 + -513 - (-120 - ((4 - 1) + -8 + 0))?
107
Calculate -59 + 0 - (6 + (18 - 15 - 8)).
-60
0 + 3 + -36 - (-44 - (-57 + 26))
-20
What is the value of 46 + 34 + -102 + (-2 - -62)?
38
Evaluate 76 - (2 - ((11 - (7 - 8)) + -10)) - 9.
67
Calculate 10 + 18 + (-21 - -15) + -3.
19
What is the value of -70 - (108 + 5 + -62)?
-121
Calculate 93 - (130 + -129) - (0 + 2 + -18).
108
What is the value of 8 + 1 + 1 + (51 - 10) + (62 - 111)?
2
What is the value of -89 + 14 + (6 - 30) + 19 + -9?
-89
Calculate -42 + -144 + -55 + 115.
-126
Calculate -40192 + 40184 + 83 + -2 + 1.
74
-4 + -7 + 3 + -6 + 20
6
What is -5 + -10 - 6 - (-151 + 6)?
124
What is -3 + 1 + 3 + 268 + -266?
3
What is 184 - 8 - (5 + 99)?
72
What is the value of -38 - 0 - (4081 + -4065)?
-54
Calculate 6 + (49 - -3 - 49).
9
Calculate 58 - (-8 - -38) - 34.
-6
What is 75 + (73 - 79 - 68)?
1
What is the value of (-64 - (108 + -156)) + 48?
32
Calculate -11 - (-94 - -42 - -47).
-6
Calculate -8 - 37 - (-8 + -14) - 17.
-40
-197 + 210 - (113 + -29 + 15)
-86
What is -26 - (-206 - -233 - (1 + 47))?
-5
Calculate 18 + -25 + 20 - (-35 - -6).
42
What is 43 + -148 + 118 + -41?
-28
-2 + 12 - (5 - (-7 - (-33 + 36)))
-5
Evaluate 26 + (-7 - ((1 - -4) + 1)) - 61.
-48
Calculate 21 - (-12 + 52 - -25).
-44
What is 81 - 101 - (5 - 18)?
-7
What is the value of 47 - 52 - (-86 - -43 - (1 + -8 + -1))?
30
-33 + -116 + 165 + -102
-86
Evaluate -62 + 27 + -78 + 204.
91
-461 + 298 + 112 - (-3 + -2 + (-2 - -2))
-46
Calculate -23 - (3 - 19) - (-8 - 35).
36
Evaluate -186 + -116 + 78 + 71.
-153
What is the value of 49 - (59 + 65 - 2)?
-73
What is the value of -69 - (-48 - -37 - 21 - (4 + -15))?
-48
Calculate 279 - 217 - (8 + 60).
-6
Calculate 33 + (4 - (-10 - (-9 + 0))) + -18.
20
Evaluate 2 + (6 + 11 + 5 - 45).
-21
What is -21 + (33 - 9) + -4 + 51 + -2?
48
What is the value of 21 - (-16 - -33) - (-3 - -4)?
3
What is the value of 42 - (-8 - -47) - -10?
13
Calculate (15 - ((24 - 8) + -15)) + -13 - -75.
76
Evaluate -73 - (-5 - -2) - (1973 - 2005) - (-1 + 12).
-49
What is -4 + -19 + -66 - 11?
-100
What is (31 - 31) + (11 - (-8 - -13)) + -9?
-3
Calculate (-3 - (-26 + 103 + -29)) + 17.
-34
What is the value of (34 - -88) + -129 + 76?
69
What is the value of -6036 + 6002 - (0 - 1 - -4 - -2)?
-39
Calculate (10 - 35) + 28 - (-4 + 28).
-21
Calculate (62 - 7) + -70 - 46.
-61
What is the value of (-10 + 78 + -22 - (1 - -1)) + 5?
49
What is the value of 22 + (-5 - -1) + -3 + 9 - -12?
36
What is the value of 9 + -4 - (-11 - 5 - (-1 + -3 + -4))?
13
What is 41 + (-2 - 8 - -3 - -11 - (-19 + 13))?
51
Calculate 119 + -46 + 25 - (-1 - -40).
59
(-6 - -3 - 27) + 545 + -533
-18
Calculate 155 + (76 - 156) - 55.
20
Evaluate 9 - 2 - -6 - (-10 - 5 - (-13 + -20)).
-5
What is 5 + 0 + 1 - (33 + (-79 - (57 - 21)))?
88
Evaluate 54 + 45 + -23 + -27.
49
What is the value of -15 + -1 - (-79 + (-95 - -169))?
-11
Calculate 27 - (-18 + 54) - -25.
16
Evaluate -4 + 9 - 28 - -28.
5
781 + -793 + (0 - ((-6 - -78) + 5 + -1))
-88
Evaluate -27 - (-55 + 56) - (-57 - 3).
32
Calculate -21 + -41 + (24 - 0).
-38
Calculate (-8 - (-16 + -3 - -12)) + 24.
23
0 - -37 - (33 - (-56 - -2))
-50
What is 13 + (-15 - 64) + 117?
51
Calculate -210 - -241 - (-1 + 46).
-14
What is the value of -6 + (1 - -3) + -9 - (-126 - -122)?
-7
Calculate -55 + -65 + 47 - -16.
-57
Evaluate 4 + 11 + (4 - 5) - (-404 - -390).
28
(-20 - (-6 + 3 + -30)) + -11
2
Calculate 44 + (35 - 31) + -39.
9
Evaluate (-2 + 34 - 25) + -10 - -33.
30
What is 9 - (0 + 9 - (16 + (5 - 22)))?
-1
What is the value of (-36 - 0) + (6 - 56 - -51)?
-35
What is the value of 32 - ((-11 + 46 - 20 - 10) + -8 + 0)?
35
What is 32 - (42 + -34) - 27?
-3
Calculate -1487 - -1437 - (6 + -177).
121
Calculate 21 + (-2 - -3) + -112 + 133.
43
Calculate -19 - (-23 + -25 + 4).
25
What is -7 - (-41 - ((-34 - -40) + 20))?
60
(-6 + -11 - -8) + (-32 - -49) - 59
-51
Evaluate 12 + (-15 + -8 - -58) + 19.
66
What is the value of ((-5 - (10 - 10)) + 1 - (2 - 13)) + 25?
32
What is the value of 25 + (16 + -18 - -11) + -7 + 1?
28
Evaluate -6 + 25 + (-34 - -17) + 0 + 49 + 8.
59
Evaluate -15 - ((35 - 23) + (-17 - -9) + -106).
87
What is -3 - 2 - (-847 + 883 + (-1 - 18))?
-22
What is -19 + -1 + 136 + (-85 - 118)?
-87
-322
|
{
"pile_set_name": "DM Mathematics"
}
|
that 5*k**5 - 495*k**4 + 11595*k**3 + 24695*k**2 + 12600*k = 0.
-1, 0, 45, 56
Factor 3*p**3 - 117996*p**2 - 472020*p - 472032.
3*(p - 39336)*(p + 2)**2
Solve j**3 + 3513*j**2 + 3087048*j + 3083536 = 0.
-1756, -1
Factor a**3/12 + 157*a**2/12 + 5399*a/12 + 5243/12.
(a + 1)*(a + 49)*(a + 107)/12
Factor 2*w**2 - 14732*w - 103222.
2*(w - 7373)*(w + 7)
Let 18*l**5/11 + 1038*l**4/11 - 1034*l**3 - 7926*l**2/11 - 1340*l/11 = 0. Calculate l.
-67, -1/3, 0, 10
Let 15*c**3 + 1811*c**2 + 33326*c - 9016 = 0. Calculate c.
-98, -23, 4/15
Factor -4*k**3 + 30908*k**2 - 59721980*k + 59691076.
-4*(k - 3863)**2*(k - 1)
Let -3*z**4 + 630*z**3 - 39951*z**2 + 662844*z + 1490580 = 0. Calculate z.
-2, 30, 91
Suppose 14400*q**5 + 661920*q**4 + 2440324*q**3 + 1732504*q**2 - 59796*q + 504 = 0. What is q?
-42, -3, -1, 1/60
Factor 2*v**2 - 106832*v + 320478.
2*(v - 53413)*(v - 3)
Let 3*k**5 + 672*k**4 + 3816*k**3 - 23424*k**2 + 26160*k = 0. Calculate k.
-218, -10, 0, 2
Let s**3/2 - 7141*s**2/8 + 16049*s/8 - 1783/4 = 0. What is s?
1/4, 2, 1783
Find g, given that 2*g**5/9 - 40*g**4/3 + 406*g**3/9 + 2560*g**2/9 - 1312*g + 8960/9 = 0.
-5, 1, 4, 56
Solve 3*h**4/4 + 303*h**3/2 - 87759*h**2 - 58569879*h/2 - 9338509815/4 = 0.
-199, 395
Find d, given that 3*d**4/5 + 741*d**3/5 + 48963*d**2/5 + 395199*d/5 + 764694/5 = 0.
-119, -6, -3
Solve -5*l**4 - 20900*l**3 + 801420*l**2 = 0 for l.
-4218, 0, 38
Factor -a**2/4 + 57*a/4 + 41789/2.
-(a - 319)*(a + 262)/4
Solve -5*l**4/3 + 80*l**3/3 - 190*l**2/3 - 80*l/3 + 65 = 0 for l.
-1, 1, 3, 13
Factor -3*b**3 - 63561*b**2 - 190644*b + 254208.
-3*(b - 1)*(b + 4)*(b + 21184)
Let 2*r**5/13 + 120*r**4/13 + 2216*r**3/13 + 960*r**2 + 1664*r = 0. Calculate r.
-26, -4, 0
Factor 2*m**3/11 - 31172*m**2/11 + 121430520*m/11 + 242985744/11.
2*(m - 7794)**2*(m + 2)/11
Suppose 4*z**5 - 376*z**4 + 1428*z**3 + 1152*z**2 - 6480*z = 0. Calculate z.
-2, 0, 3, 90
Let -r**5/3 - 24968*r**4/3 - 155900185*r**3/3 - 623326118*r**2/3 - 779051548*r/3 - 311600648/3 = 0. What is r?
-12482, -2, -1
Solve b**5/4 - 47*b**4/4 - 99*b**3/2 + 17425*b**2/2 - 386875*b/4 - 421875/4 = 0 for b.
-27, -1, 25
Solve 15*v**3 - 23845*v**2 - 613960*v + 419900 = 0 for v.
-26, 2/3, 1615
Let 5*v**3 - 40*v**2 - 10020*v + 164160 = 0. What is v?
-48, 18, 38
Factor -x**5 - 15*x**4 + 23*x**3 + 627*x**2 - 1210*x.
-x*(x - 5)*(x - 2)*(x + 11)**2
Find r, given that 5*r**4 + 5915*r**3 - 23845*r**2 - 124635*r = 0.
-1187, -3, 0, 7
Factor -o**3/3 + 3551*o**2 + 10654*o/3.
-o*(o - 10654)*(o + 1)/3
Let d**5/10 + 1481*d**4/10 - 5222*d**3/5 - 20842*d**2/5 - 2976*d = 0. What is d?
-1488, -2, -1, 0, 10
Factor 4*x**2/7 - 5640*x/7 - 16956/7.
4*(x - 1413)*(x + 3)/7
Find f such that 3*f**2 - 4083*f + 8154 = 0.
2, 1359
Solve 4*c**2 - 3508*c - 21192 = 0 for c.
-6, 883
Determine z so that 2*z**3/5 - 4452*z**2/5 - 167322*z/5 - 63364 = 0.
-35, -2, 2263
Find p such that 3*p**3 - 1629*p**2 + 9693*p - 14499 = 0.
3, 537
Factor -2*u**2/5 - 5952*u - 22141440.
-2*(u + 7440)**2/5
Determine h so that 2*h**5/9 + 608*h**4/9 + 196*h**3/3 - 5432*h**2/9 + 6658*h/9 - 808/3 = 0.
-303, -4, 1
Suppose h**5/6 + 184*h**4/3 - 312*h**3 - 1303*h**2/3 + 1871*h/6 + 373 = 0. What is h?
-373, -1, 1, 6
Factor -2*g**2 + 690*g - 1372.
-2*(g - 343)*(g - 2)
Let -y**2 - 4705*y - 9406 = 0. Calculate y.
-4703, -2
What is x in -x**5/6 - 7*x**4/6 + 3*x**3/2 + 67*x**2/6 + 8*x/3 - 14 = 0?
-7, -2, 1, 3
Factor 2*j**2/7 - 191916*j/7 + 4603968882/7.
2*(j - 47979)**2/7
Factor -3*h**2/5 + 28812*h - 345888060.
-3*(h - 24010)**2/5
Factor 3*g**3 + 15570*g**2 + 20217636*g + 40373016.
3*(g + 2)*(g + 2594)**2
Suppose -4*n**3/5 - 5499*n**2/5 - 9611*n/5 = 0. Calculate n.
-1373, -7/4, 0
Find r such that r**3/9 + 322*r**2/3 + 6719*r/9 + 1918/3 = 0.
-959, -6, -1
Suppose -546852789*v**5 + 11489695371*v**4 - 20901949236*v**3 + 220327152*v**2 - 776160*v + 912 = 0. What is v?
2/567, 2, 19
Factor -k**2/4 - 239201*k/2 - 239200.
-(k + 2)*(k + 478400)/4
Determine j, given that -3*j**5/4 + 4467*j**4/4 + 8970*j**3 + 17964*j**2 = 0.
-4, 0, 1497
Factor 6*s**3 + 10960*s**2 - 6*s - 10960.
2*(s - 1)*(s + 1)*(3*s + 5480)
Find q, given that 2*q**5/5 + 1407*q**4/5 - 20687*q**3/5 + 96714*q**2/5 - 30996*q + 77544/5 = 0.
-718, 1, 3/2, 6
Factor -2*s**2/3 + 4938*s + 14816/3.
-2*(s - 7408)*(s + 1)/3
Let 5*z**4 - 385590*z**3 + 9911976540*z**2 - 84932422979080*z = 0. Calculate z.
0, 25706
Suppose -2*r**5/5 + 66*r**4/5 + 844*r**3/5 + 708*r**2/5 - 842*r/5 - 774/5 = 0. What is r?
-9, -1, 1, 43
Let -o**3/3 - 40*o**2/3 + 4*o/3 + 160/3 = 0. What is o?
-40, -2, 2
Factor 3*u**2 + 101370*u - 202752.
3*(u - 2)*(u + 33792)
Suppose -315*a**4 + 5667*a**3 - 5301*a**2 - 51*a = 0. What is a?
-1/105, 0, 1, 17
Determine k so that -10*k**4 + 1255*k**3 + 3195*k**2 + 650*k - 1280 = 0.
-2, -1, 1/2, 128
Solve 4*i**2 + 528500*i = 0.
-132125, 0
Factor -m**4 - 36*m**3 + 80*m**2 + 144*m - 304.
-(m - 2)**2*(m + 2)*(m + 38)
Let 4*t**3 - 10628*t**2 + 10600*t + 63744 = 0. Calculate t.
-2, 3, 2656
Determine z so that 4*z**4 - 284*z**3 + 3712*z**2 + 18384*z + 19584 = 0.
-2, 24, 51
Factor 3*h**3/7 - 8724*h**2/7 + 95601*h/7.
3*h*(h - 2897)*(h - 11)/7
Factor m**2 - 821*m + 161704.
(m - 493)*(m - 328)
What is q in 28*q**4/3 + 156806*q**3/3 + 11200*q**2 = 0?
-5600, -3/14, 0
Let 3*h**2 + 661632*h + 36479741952 = 0. Calculate h.
-110272
Determine v so that -6*v**4/13 - 1292*v**3/13 - 7984*v**2/13 - 676*v - 2090/13 = 0.
-209, -5, -1, -1/3
Factor 4*i**3 - 23620*i**2 + 141612*i - 212364.
4*(i - 5899)*(i - 3)**2
What is g in g**3/2 - 39*g**2 + 797*g/2 + 1560 = 0?
-3, 16, 65
Suppose 2*m**5 - 1452*m**4 + 330628*m**3 - 18060120*m**2 - 1264476150*m - 2454043500 = 0. What is m?
-37, -2, 255
Find l such that -3*l**3/7 + 6166*l**2/7 - 2053*l/7 - 4110/7 = 0.
-2/3, 1, 2055
Factor -4*y**2/7 + 10576*y/7 + 927860/7.
-4*(y - 2729)*(y + 85)/7
Factor -2*n**3/5 - 48156*n**2/5 + 192744*n - 963920.
-2*(n - 10)**2*(n + 24098)/5
Suppose 2*j**4 + 102*j**3 - 556*j**2 + 240*j + 896 = 0. What is j?
-56, -1, 2, 4
Determine p, given that -p**5 - 395*p**4 + 11343*p**3 - 21497*p**2 + 10550*p = 0.
-422, 0, 1, 25
Factor -w**5/4 - 119*w**4/2 - 473*w**3/4 - 59*w**2.
-w**2*(w + 1)**2*(w + 236)/4
Factor -15*r**2 + 4505*r - 1500.
-5*(r - 300)*(3*r - 1)
Find r such that -38310*r**2 + 38314*r - 4 = 0.
2/19155, 1
Suppose -t**5 - 839*t**4 - 3341*t**3 - 829*t**2 + 5010*t = 0. Calculate t.
-835, -3, -2, 0, 1
Solve -3*u**4 + 246*u**3 - 2187*u**2 + 1944*u = 0 for u.
0, 1, 9, 72
Factor 48*w**2/7 - 762*w + 9324.
6*(w - 14)*(8*w - 777)/7
Determine c, given that -2*c**2/9 + 209872*c/3 - 5505782048 = 0.
157404
Factor 2*u**3/15 + 22*u**2/15 - 844*u/15 - 240.
2*(u - 18)*(u + 4)*(u + 25)/15
Find c, given that -2*c**4 - 443452*c**3 - 24582983282*c**2 - 196642581072*c - 393270972192 = 0.
-110859, -4
Solve f**3/5 + 2986*f**2/5 - f/5 - 2986/5 = 0.
-2986, -1, 1
Solve -32*t**2 - 8892*t - 8860 = 0.
-2215/8, -1
Factor -m**4 - 61*m**3 + 2852*m**2.
-m**2*(m - 31)*(m + 92)
Solve -n**2/2 - 12039*n/2 - 66154 = 0 for n.
-12028, -11
Factor -2*s**2/17 - 9966*s/17 - 29880/17.
-2*(s + 3)*(s + 4980)/17
Solve 3*t**4 - 465*t**3 + 15768*t**2 + 177612*t + 161376 = 0.
-8, -1, 82
Determine n, given that -2*n**5/13 + 388*n**4/13 + 3684*n**3/13 - 5984*n**2/13 - 21458*n/13 - 12180/13 = 0.
-10, -1, 3, 203
What is j in 2*j**5 - 20948*j**4 + 73122464*j**3 - 85016846592*j**2 - 170912001024*j + 681306743808 = 0?
-4, 2, 3492
Find u, given that -u**4/5 + 866*u**3/5 - 38013*u**2 + 222740*u - 184900 = 0.
1, 5, 430
Determine w so that -3*w**3 + 35871*w**2 - 71733*w + 35865 = 0.
1, 11955
Factor -3*p**3/5 + 21*p**2 + 618*p/5 - 144.
-3*(p - 40)*(p - 1)*(p + 6)/5
What is g in -1844*g**2/5 - 7382*g/5 - 24/5 = 0?
-4, -3/922
Suppose -t**4/4 + 184*t**3 + t**2/4 - 184*t = 0. Calculate t.
-1, 0, 1, 736
Suppose 1682*s**4/7 + 150684*s**3/7 - 62568*s**2/7 + 6480*s/7 = 0. Calculate s.
-90, 0, 6/29
Suppose -2*l**2/3 - 7090*l - 42532/3 = 0. Calculate l.
-10633, -2
Determine h so that 3*h**2/5 - 156*h/5 - 8064/5 = 0.
-32, 84
Determine u so that -u**2/3 + 191524*u - 27511081932 = 0.
287286
Suppose -169*d**5/5 - 2756*d**4/5 + 53751*d**3/5 + 27074*d**2 + 37796*d/5 + 2808/5 = 0. What is d?
-27, -2, -2/13, 13
Solve -3*d**5/5 + 10992*d**4/5 - 13294098*d**3/5 + 5144258484*d**2/5 + 197316789021*d/5 - 202447764396/5 = 0.
-36, 1, 1233
Factor 2*j**2/11 + 134*j/11
|
{
"pile_set_name": "DM Mathematics"
}
|
5.
43
What is the remainder when 3663 is divided by 1212?
27
Calculate the remainder when 139 is divided by 127.
12
Calculate the remainder when 5218 is divided by 45.
43
Calculate the remainder when 3581 is divided by 143.
6
What is the remainder when 1144 is divided by 160?
24
Calculate the remainder when 34069 is divided by 36.
13
Calculate the remainder when 416929 is divided by 865.
864
What is the remainder when 122289 is divided by 621?
573
Calculate the remainder when 2197 is divided by 2195.
2
Calculate the remainder when 13138 is divided by 692.
682
Calculate the remainder when 5862 is divided by 217.
3
Calculate the remainder when 19400 is divided by 73.
55
What is the remainder when 51081 is divided by 12764?
25
What is the remainder when 763774 is divided by 1872?
1870
Calculate the remainder when 3356 is divided by 55.
1
Calculate the remainder when 756 is divided by 194.
174
What is the remainder when 518 is divided by 6?
2
Calculate the remainder when 5060 is divided by 1111.
616
Calculate the remainder when 243936 is divided by 135.
126
Calculate the remainder when 2295 is divided by 169.
98
What is the remainder when 17634 is divided by 120?
114
Calculate the remainder when 22269 is divided by 11127.
15
What is the remainder when 585709 is divided by 24?
13
Calculate the remainder when 604 is divided by 174.
82
What is the remainder when 30610 is divided by 253?
250
Calculate the remainder when 8684 is divided by 1243.
1226
Calculate the remainder when 77822 is divided by 42.
38
Calculate the remainder when 1027647 is divided by 796.
11
Calculate the remainder when 16509 is divided by 192.
189
What is the remainder when 922 is divided by 130?
12
Calculate the remainder when 21520 is divided by 1183.
226
Calculate the remainder when 7012 is divided by 100.
12
Calculate the remainder when 10807 is divided by 4822.
1163
What is the remainder when 12317756 is divided by 520?
516
Calculate the remainder when 8707 is divided by 167.
23
What is the remainder when 7323 is divided by 334?
309
What is the remainder when 66243 is divided by 26?
21
Calculate the remainder when 98862 is divided by 14109.
99
What is the remainder when 484 is divided by 160?
4
What is the remainder when 935 is divided by 87?
65
Calculate the remainder when 142348 is divided by 20334.
10
Calculate the remainder when 21408 is divided by 1125.
33
What is the remainder when 1876 is divided by 833?
210
What is the remainder when 7060 is divided by 588?
4
What is the remainder when 4344 is divided by 272?
264
What is the remainder when 145893 is divided by 1131?
1125
Calculate the remainder when 42126 is divided by 7011.
60
Calculate the remainder when 604834 is divided by 466.
432
Calculate the remainder when 2259 is divided by 1101.
57
What is the remainder when 371402 is divided by 777?
773
What is the remainder when 1845 is divided by 1397?
448
What is the remainder when 5722 is divided by 1902?
16
What is the remainder when 377795 is divided by 52?
15
What is the remainder when 6056 is divided by 334?
44
Calculate the remainder when 151516 is divided by 179.
82
What is the remainder when 28219 is divided by 84?
79
Calculate the remainder when 283285 is divided by 30.
25
Calculate the remainder when 364590 is divided by 60765.
0
What is the remainder when 1758 is divided by 404?
142
What is the remainder when 2536 is divided by 701?
433
What is the remainder when 2769 is divided by 891?
96
Calculate the remainder when 28744 is divided by 130.
14
Calculate the remainder when 82662 is divided by 2755.
12
What is the remainder when 2625 is divided by 867?
24
Calculate the remainder when 34918 is divided by 1451.
94
Calculate the remainder when 3394 is divided by 189.
181
What is the remainder when 11705 is divided by 616?
1
Calculate the remainder when 92207 is divided by 2305.
7
Calculate the remainder when 30328 is divided by 24.
16
What is the remainder when 7463 is divided by 7455?
8
Calculate the remainder when 4009 is divided by 17.
14
Calculate the remainder when 401409 is divided by 274.
273
What is the remainder when 5097 is divided by 838?
69
What is the remainder when 72975 is divided by 17?
11
Calculate the remainder when 21142 is divided by 5283.
10
Calculate the remainder when 63386 is divided by 14.
8
Calculate the remainder when 47409 is divided by 431.
430
Calculate the remainder when 2771 is divided by 23.
11
What is the remainder when 37106 is divided by 312?
290
What is the remainder when 148331 is divided by 49428?
47
What is the remainder when 103218 is divided by 18?
6
Calculate the remainder when 10364 is divided by 24.
20
What is the remainder when 18913 is divided by 945?
13
What is the remainder when 123957 is divided by 59?
57
Calculate the remainder when 1150 is divided by 193.
185
Calculate the remainder when 1436 is divided by 38.
30
Calculate the remainder when 1170478 is divided by 20.
18
What is the remainder when 14040 is divided by 2227?
678
Calculate the remainder when 1557219 is divided by 25.
19
What is the remainder when 91099 is divided by 60?
19
Calculate the remainder when 5709 is divided by 1003.
694
What is the remainder when 7656 is divided by 984?
768
What is the remainder when 2633 is divided by 33?
26
What is the remainder when 32036 is divided by 10611?
203
What is the remainder when 44384 is divided by 44369?
15
Calculate the remainder when 787283 is divided by 112467.
14
Calculate the remainder when 23736 is divided by 3954.
12
Calculate the remainder when 251 is divided by 232.
19
What is the remainder when 28148 is divided by 2344?
20
What is the remainder when 1223 is divided by 55?
13
Calculate the remainder when 1020 is divided by 84.
12
What is the remainder when 8864 is divided by 190?
124
What is the remainder when 299662 is divided by 639?
610
Calculate the remainder when 15066 is divided by 28.
2
What is the remainder when 412525 is divided by 304?
301
Calculate the remainder when 1471 is divided by 845.
626
What is the remainder when 2231 is divided by 388?
291
What is the remainder when 32898 is divided by 555?
153
What is the remainder when 87718 is divided by 10?
8
What is the remainder when 2011 is divided by 242?
75
What is the remainder when 3872 is divided by 932?
144
Calculate the remainder when 21143 is divided by 8.
7
What is the remainder when 193323 is divided by 25?
23
Calculate the remainder when 129036 is divided by 230.
6
Calculate the remainder when 237324 is divided by 993.
990
Calculate the remainder when 310914 is divided by 20727.
9
Calculate the remainder when 7035 is divided by 1329.
390
Calculate the remainder when 5542 is divided by 1106.
12
What is the remainder when 437 is divided by 89?
81
What is the remainder when 193432 is divided by 686?
666
Calculate the remainder when 4375 is divided by 73.
68
Calculate the remainder when 1133 is divided by 741.
392
What is the remainder when 99076 is divided by 24767?
8
What is the remainder when 346949 is divided by 1285?
1284
Calculate the remainder when 11041 is divided by 746.
597
Calculate the remainder when 5383 is divided by 58.
47
Calculate the remainder when 10534 is divided by 62.
56
What is the remainder when 4798 is divided by 373?
322
Calculate the remainder when 1675 is divided by 338.
323
What is the remainder when 18150 is divided by 1393?
41
What is the remainder when 4349 is divided by 2279?
2070
What is the remainder when 752223 is divided by 88?
87
Calculate the remainder when 2248 is divided by 54.
34
What is the remainder when 560949 is divided by 49?
46
Calculate the remainder when 78729 is divided by 212.
77
Calculate the remainder when 15138 is divided by 15128.
10
What is the remainder when 25774 is divided by 173?
170
What is the remainder when 38312 is divided by 12759?
35
Calculate the remainder when 27980 is divided by 65.
30
What is the remainder when 37770 is divided by 36?
6
Calculate the remainder when 163642 is divided by 27.
22
Calculate the remainder when 49299 is divided by 54.
51
What is the remainder when 9930 is divided by 52?
50
What is the remainder when 46016 is divided by 133?
131
Calculate the remainder when 196 is divided by 32.
4
What is the remainder when 326981 is divided by 163
|
{
"pile_set_name": "DM Mathematics"
}
|
94 to 7 decimal places.
-0.0000455
What is -0.000466512 rounded to 4 decimal places?
-0.0005
What is 19571.74 rounded to the nearest 100?
19600
What is 967760 rounded to the nearest one hundred thousand?
1000000
What is -2.021844 rounded to one decimal place?
-2
What is -35.62688 rounded to one dp?
-35.6
What is -1576.068 rounded to the nearest 100?
-1600
Round -0.000000312004 to six dps.
0
What is 48812.7 rounded to the nearest one hundred?
48800
Round -0.0005675888 to 7 dps.
-0.0005676
What is -2.54568 rounded to 2 decimal places?
-2.55
Round -0.21753133 to four dps.
-0.2175
What is -0.00000814765 rounded to 6 decimal places?
-0.000008
What is 0.0000394221 rounded to seven decimal places?
0.0000394
What is 0.0085271 rounded to three dps?
0.009
What is -55944078 rounded to the nearest 10000?
-55940000
What is -0.2461043 rounded to two decimal places?
-0.25
Round -51.01881 to 1 decimal place.
-51
What is -0.2049595 rounded to two dps?
-0.2
Round 18.860529 to the nearest integer.
19
Round -804.4678 to the nearest 100.
-800
Round 8501.3 to the nearest one hundred.
8500
What is 420150 rounded to the nearest 100000?
400000
What is 0.00043826 rounded to 6 decimal places?
0.000438
What is 4684 rounded to the nearest 100?
4700
Round -90899.81 to the nearest ten thousand.
-90000
What is 0.1553068 rounded to 2 dps?
0.16
What is 24536100 rounded to the nearest 100000?
24500000
What is 500.2 rounded to the nearest ten?
500
Round 0.008443831 to 3 decimal places.
0.008
Round 45.126829 to 2 dps.
45.13
Round 0.15534541 to one decimal place.
0.2
Round -74896.5 to the nearest one thousand.
-75000
What is -49991800 rounded to the nearest 1000000?
-50000000
What is -0.00150455 rounded to three dps?
-0.002
What is -0.000259 rounded to 4 decimal places?
-0.0003
What is -0.0000003880415 rounded to 7 decimal places?
-0.0000004
Round -2389153 to the nearest 10000.
-2390000
What is 62.0072 rounded to the nearest ten?
60
Round 5381.6596 to the nearest integer.
5382
What is -6.71363 rounded to 1 decimal place?
-6.7
Round -13.35223 to the nearest integer.
-13
Round 828984100 to the nearest 100000.
829000000
What is -31280.99 rounded to the nearest one thousand?
-31000
What is -0.0078278 rounded to 4 decimal places?
-0.0078
What is 0.00000523212 rounded to 7 dps?
0.0000052
Round 8.947233 to two dps.
8.95
Round 9080.15 to the nearest one thousand.
9000
Round -0.000000100257 to seven decimal places.
-0.0000001
Round -0.0000944766 to 6 dps.
-0.000094
Round 20834200 to the nearest 1000000.
21000000
What is -0.766215 rounded to 1 decimal place?
-0.8
Round -420.29 to the nearest one hundred.
-400
Round 1.89385 to 1 dp.
1.9
Round -455.428 to the nearest 100.
-500
What is -0.000028176833 rounded to six decimal places?
-0.000028
Round -0.00008152681 to six dps.
-0.000082
Round -0.00136964 to five decimal places.
-0.00137
What is -219015.7 rounded to the nearest one hundred?
-219000
What is 754.1668 rounded to 1 decimal place?
754.2
What is -0.0000026175607 rounded to 7 dps?
-0.0000026
Round -12320030 to the nearest 1000000.
-12000000
Round -0.0000582153 to five decimal places.
-0.00006
What is -49639462 rounded to the nearest one hundred thousand?
-49600000
What is -204193.5 rounded to the nearest one hundred?
-204200
What is -2094.082 rounded to 0 decimal places?
-2094
Round 3546853 to the nearest ten thousand.
3550000
Round 0.0014983632 to four dps.
0.0015
Round 0.00451166 to 4 decimal places.
0.0045
What is -0.0000866202 rounded to five decimal places?
-0.00009
Round -1679250 to the nearest one hundred thousand.
-1700000
What is -3504610000 rounded to the nearest 1000000?
-3505000000
What is 0.0000481843 rounded to seven decimal places?
0.0000482
What is -45421450 rounded to the nearest 100000?
-45400000
Round 0.00006157 to six decimal places.
0.000062
What is 186.7567 rounded to 2 dps?
186.76
Round 57.60167 to the nearest 10.
60
What is 6883109 rounded to the nearest one hundred thousand?
6900000
Round -650.1143 to the nearest 100.
-700
What is 0.00010258919 rounded to seven dps?
0.0001026
Round -0.004403917 to three decimal places.
-0.004
Round -120.146 to the nearest ten.
-120
Round 2496.548 to the nearest 100.
2500
What is 310275 rounded to the nearest ten thousand?
310000
Round 1.63912 to 1 dp.
1.6
What is 0.0002868002 rounded to six decimal places?
0.000287
Round 0.000290794 to 5 decimal places.
0.00029
What is 71709.31 rounded to the nearest 10?
71710
Round 0.001309762 to 6 dps.
0.00131
What is -178 rounded to the nearest integer?
-178
Round -0.00000890241 to 6 dps.
-0.000009
Round 10792180 to the nearest one million.
11000000
What is -789.3197 rounded to the nearest 10?
-790
Round -210.1611 to the nearest integer.
-210
Round -83976400 to the nearest one hundred thousand.
-84000000
Round 2747920 to the nearest one hundred thousand.
2700000
Round -0.0001861528 to 6 dps.
-0.000186
What is -6459.376 rounded to the nearest 100?
-6500
Round 1553844 to the nearest one hundred thousand.
1600000
Round 0.0030298347 to four decimal places.
0.003
Round 0.000364906 to six decimal places.
0.000365
What is -0.0020050112 rounded to four dps?
-0.002
Round -120738900 to the nearest one million.
-121000000
What is 76650680 rounded to the nearest 100000?
76700000
Round -176.9663 to one dp.
-177
What is -0.000000840485 rounded to 7 decimal places?
-0.0000008
Round -0.00002265915 to 6 dps.
-0.000023
What is 852175.7 rounded to the nearest ten thousand?
850000
Round 0.002037085 to four decimal places.
0.002
Round -0.02864955 to 2 dps.
-0.03
What is 2.5339562 rounded to 3 decimal places?
2.534
What is 0.001110388 rounded to five decimal places?
0.00111
What is -2599.35 rounded to the nearest ten?
-2600
Round -0.000006340627 to 7 decimal places.
-0.0000063
What is 0.00000019809 rounded to seven decimal places?
0.0000002
Round -3.6026042 to the nearest integer.
-4
Round 412157 to the nearest 100000.
400000
What is 4.5742 rounded to 0 dps?
5
Round -1.785855 to 2 dps.
-1.79
Round 0.0070110995 to three dps.
0.007
What is -81910300 rounded to the nearest one million?
-82000000
What is -8460745000 rounded to the nearest one million?
-8461000000
Round -0.0000287189 to 5 dps.
-0.00003
Round -0.0285347 to 2 dps.
-0.03
What is 226.2114 rounded to one dp?
226.2
What is 26.7604 rounded to 2 decimal places?
26.76
Round -0.00000107392 to 6 decimal places.
-0.000001
Round 565520.9 to the nearest one hundred thousand.
600000
Round 0.00132354 to 6 decimal places.
0.001324
What is -0.8176 rounded to 1 dp?
-0.8
What is -99729100 rounded to the nearest one hundred thousand?
-99700000
Round -11061.86 to the nearest 1000.
-11000
What is 1714880000 rounded to the nearest 1000000?
1715000000
Round 424127 to the nearest one thousand.
424000
What is -52.5836 rounded to 0 decimal places?
-53
What is -0.0272296 rounded to 2 dps?
-0.03
What is -502971 rounded to the nearest one hundred thousand?
-500000
What is 2.399886 rounded to 1 dp?
2.4
What is 0.0000155814 rounded to five dps?
0.00002
What is 5349697.9 rounded to the nearest 1000000?
5000000
What is -437606 rounded to the nearest 1000?
-438000
Round -0.01072896 to 5 decimal places.
-0.01073
What is -9924000 rounded to the nearest 1000000?
-10000000
Round 7.825696 to 3 dps.
7.826
What is -0.000137688364 rounded to 6 decimal places?
-0.000138
What is -494.373 rounded to the nearest one hundred?
-500
What is 0.0003747911 rounded to 6 dps?
0.000375
What is 44101 rounded to the nearest ten thousand?
40000
Round 0.000270876 to 6 decimal places.
0.000271
Round -3.121161 to 1 decimal place.
-3.1
What is -0.00779822 rounded to three decimal places?
-0.008
Round 0.991971 to 2 decimal places.
0.99
Round -0.000007645865 to 6 decimal places.
-0.000008
Round 0.00004352389 to 5 dps.
0.00004
Round 0.000049098 to 6 decimal places.
0.000049
What is 189.0889 rounded to the nearest ten?
190
Round -1033.6913 to the nearest one hundred.
-1000
Round 1266680 to the nearest 100000.
1300000
What is 0.000003626544 rounded to 6 decimal places?
0.000004
What is 83722600 rounded to the nearest 1000000?
84000000
What is -35930550 rounded to the nearest one hundred thousand?
-35900000
Round -38242.96 to the nearest one hundred.
-38200
What is -19.25548 rounded to one decimal place?
-19.3
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
e the third derivative of z**4/12 - 2*z**2. Let r(o) be the third derivative of 0*o + 4*o**2 + 0*o**3 + 1/6*o**4 + 0. Give r(l(h)).
8*h
Let n(r) = 23*r - 22*r - 15*r. Let z(a) = a**2. Calculate n(z(g)).
-14*g**2
Let u(p) = 4*p**2 - 4*p**2 - 3*p**2. Let q(d) = 7*d**2 + 5*d. Let k(s) = 3*s**2 + 2*s. Suppose -6*n = -2*n + 20. Let z(w) = n*k(w) + 2*q(w). Give u(z(b)).
-3*b**4
Let l(q) = 3*q**2. Let u(a) = -a**2 - 3*a + 3. Let b(j) = 2*j**2 + 5*j - 5. Let i(v) = -6*b(v) - 10*u(v). Calculate i(l(o)).
-18*o**4
Let c(o) = -413*o**2 - 415*o**2 + 843*o**2. Let u(t) = -7*t**2. What is c(u(v))?
735*v**4
Let l(k) = -2*k. Let j be l(4). Let n(r) = -5*r**2 + 3*r - 3. Let x(w) = 14*w**2 - 8*w + 8. Let b(p) = j*n(p) - 3*x(p). Let z(v) = 2*v. Determine z(b(m)).
-4*m**2
Suppose 4*y - 4*z + 8 = 0, -5*y + 10 = -3*z + 2*z. Let n(i) = 0 - y*i + 5*i + 0. Let v(p) = 9*p**2. Determine v(n(f)).
36*f**2
Let d(x) = -2*x**2. Let m(k) = 760*k. Calculate m(d(l)).
-1520*l**2
Let l(a) = -a**2 + 2*a. Let s(u) = 110*u**2. Give l(s(p)).
-12100*p**4 + 220*p**2
Let d(k) = -40*k. Let t(x) = -6*x. Give d(t(m)).
240*m
Let c(k) = -174*k**2. Let z(w) = -7*w - 1. Determine z(c(o)).
1218*o**2 - 1
Let d(u) = -14*u**2 - 8. Let f(w) = 9*w**2 + 5. Let x(o) = -5*d(o) - 8*f(o). Let m(b) be the third derivative of b**5/60 + 3*b**2. Give x(m(z)).
-2*z**4
Let w(x) = 3*x**2. Let k(m) be the first derivative of 0*m**2 + 0*m - 3 - 2/3*m**3. What is k(w(v))?
-18*v**4
Let p(f) = f + 1. Let t(r) = 4*r + 3. Let o = 16 + -13. Let x(y) = o*p(y) - t(y). Let c(j) be the second derivative of -j**3/2 - j. Calculate x(c(m)).
3*m
Let o(q) = -7 - 8 - 5*q + 6. Let d(w) = -w - 2. Let b = 11 + -7. Let g(t) = b*o(t) - 18*d(t). Let p(x) = -2*x. Calculate p(g(l)).
4*l
Let k(p) = -27448*p. Let i(q) = -2*q**2. Calculate i(k(s)).
-1506785408*s**2
Let u(i) = 2*i. Let z(h) = 827*h. Give u(z(p)).
1654*p
Let v(q) = -q. Let c(s) = s - 1. Let g be ((-24)/(-4))/(0 - -2). Let k = -1 - g. Let u(m) = -m**2 + 4*m - 4. Let y(b) = k*c(b) + u(b). Determine y(v(d)).
-d**2
Let s(w) = w**2. Let t(d) = -7*d**2. Calculate s(t(j)).
49*j**4
Let d(j) = 3*j. Let o = 8 - 4. Let f(z) = 6*z**2 + 4. Let s(a) = 5*a**2 + 3. Let k(r) = o*s(r) - 3*f(r). Give k(d(x)).
18*x**2
Let w(t) = -10*t**2. Let l(n) = -14*n + 6*n + 9*n. Determine w(l(m)).
-10*m**2
Suppose 0 = 4*d - v - 13, -4*v + 3*v + 3 = 4*d. Let p(b) = b + 1. Let h(a) = 2*a + 1. Let m(k) = d*h(k) - 2*p(k). Let o(s) = -3*s**2. What is m(o(x))?
-6*x**2
Let r(t) = 2*t. Let d = 29/10 - 12/5. Let g(u) be the first derivative of 0*u - 2 - d*u**2. What is g(r(i))?
-2*i
Let h(b) be the second derivative of -b**3/3 - 2*b - 63. Let f(y) = -2*y**2 + 2*y - 2*y. Calculate h(f(q)).
4*q**2
Let l(x) be the first derivative of -2/3*x**3 + 0*x - 1 + 0*x**2. Let u(i) be the third derivative of -i**5/60 - i**2. Calculate l(u(n)).
-2*n**4
Let x(u) = -3*u. Let w(g) be the first derivative of 22*g**3/3 - 24. Give w(x(o)).
198*o**2
Let g(w) = -w**2 + 12*w. Let n(f) = 11*f. Determine n(g(y)).
-11*y**2 + 132*y
Let o(h) = -6*h**2 + 10*h + 10. Let a(j) = -2*j**2 + 3*j + 3. Let n(q) = 10*a(q) - 3*o(q). Let k(c) = -9*c. Calculate k(n(w)).
18*w**2
Let w(z) be the third derivative of -z**5/10 + 2*z**2 - 24. Let p(n) = -2*n. Give w(p(y)).
-24*y**2
Let u(h) be the first derivative of -37*h**3/3 - 3. Let p(z) = 2*z**2. Give u(p(o)).
-148*o**4
Let y(o) = -o + 3*o + o. Let x(i) = -3*i**2. Determine y(x(v)).
-9*v**2
Let g(w) be the first derivative of -2*w**2 - 65. Let c(t) = t - 1. Let v(d) = 4*d - 3. Let m(f) = 6*c(f) - 2*v(f). What is g(m(p))?
8*p
Let c(w) = -w. Let z(s) be the first derivative of 4*s**3 + 7. Determine z(c(b)).
12*b**2
Let d(r) be the third derivative of -4*r**5/15 + 32*r**2. Let i(x) = -2*x**2. Determine i(d(s)).
-512*s**4
Let a(n) = n. Let v(x) = 4*x + 5. Let y(t) = 12*t + 14. Let l(m) = -14*v(m) + 5*y(m). Determine a(l(w)).
4*w
Let n(h) = -23*h + 23*h - 7*h**2. Let o(w) = 48*w**2. Let s(p) = 27*n(p) + 4*o(p). Let a(d) = 2*d**2. Give a(s(y)).
18*y**4
Let n(d) be the first derivative of -3*d**2/2 - 14. Let a(s) = 10*s. Give a(n(x)).
-30*x
Let c = 2 - -1. Let g(r) = -c - 2*r**2 + 3. Let h(t) = 15*t. Let q(p) = 3*p. Let k(u) = -2*h(u) + 11*q(u). What is g(k(o))?
-18*o**2
Let a(f) = -f**2 - 8 + 8. Let l(z) = -2*z. Let r(c) = c. Let s(i) = 2*l(i) + 5*r(i). Calculate s(a(g)).
-g**2
Let p(d) = -2*d + 89. Let u(a) = 3*a**2. Give p(u(n)).
-6*n**2 + 89
Let a(m) = -4*m**2 - 269*m. Let q(s) = -s. What is q(a(x))?
4*x**2 + 269*x
Let r(h) = h**2. Let q(w) = w. Let f(m) = -5*m. Let g(d) = -f(d) - 2*q(d). Determine r(g(b)).
9*b**2
Let s(z) be the first derivative of 3*z + 1/6*z**4 + 0*z**3 + 0*z**2 + 3. Let i(b) be the first derivative of s(b). Let j(m) = 3*m**2. Determine i(j(q)).
18*q**4
Let h(i) = 2*i**2. Let g(a) = -5*a - 35 + 35. What is g(h(v))?
-10*v**2
Let d(u) = 67*u**2. Let p(q) = -21*q. Determine p(d(m)).
-1407*m**2
Let v(y) = 2*y**2. Let s(k) = 22*k + 22*k - 48*k. Determine s(v(w)).
-8*w**2
Let o = -2 - -4. Let p(f) = -3*f**2 + 5*f**2 - 10*f**o + 5*f**2. Let h(j) = -2*j. Determine p(h(b)).
-12*b**2
Let q(t) be the first derivative of 1 + 1/2*t**2 + 0*t. Let o(m) be the first derivative of -2*m**2 - 1. What is q(o(r))?
-4*r
Let q(f) be the second derivative of f**3/2 + 6*f. Let s(a) = 5*a**2. Determine q(s(b)).
15*b**2
Let z(w) = 2*w**2 - 128*w. Let o(n) = 3*n**2. What is z(o(h))?
18*h**4 - 384*h**2
Let k(a) = -6*a + 6. Let p(m) = -2*m**2 + 7*m. Give p(k(f)).
-72*f**2 + 102*f - 30
Let f(s) = 2*s**2. Let t(c) be the third derivative of 19*c**4/24 + 2*c**2. Determine f(t(x)).
722*x**2
Let y(q) be the third derivative of q**7/2520 + 7*q**4/24 + 8*q**2. Let g(s) be the second derivative of y(s). Let v(w) = 2*w. Determine g(v(m)).
4*m**2
Let n(s) = 2523*s. Let v(l) = 2*l**2. What is n(v(x))?
5046*x**2
Let l(i) = 7*i**2. Let t(w) = -5*w**2 + 2*w. Determine l(t(c)).
175*c**4 - 140*c**3 + 28*c**2
Let o(b) = -b**2. Let v(x) = 3*x - 28. Give o(v(m)).
-9*m**2 + 168*m - 784
Let t(m) be the first derivative of -5/3*m**3 + 4 + 0*m**2 + 0*m. Let d(q) = -2*q. Give t(d(w)).
-20*w**2
Let q(z) = 2*z**2. Let i(l) = 247*l. Determine i(q(a)).
494*a**2
Let y(l) = -50*l**2. Let m(v) = -68*v**2. What is y(m(f))?
-231200*f**4
Let v(m) = 3*m. Suppose 2*s + 6 = 0, -93 = -5*y - 3*s + 13. Let x(a) = y*a**2 - 11*a**2 - 9*a**2. Determine v(x(r)).
9*r**2
Let i(s) = -18*s - 7*s - 11*s + 40*s. Let a(c) = 9*c - 7. Let h(z) = -8*z + 6. Let n(m) = 6*a(m) + 7*h(m). Determine i(n(v)).
-8*v
Let q(d) = -d. Let w(z) = z**2 + 1. Let h(y) be the first derivative of -4*y**3/3 - 6*y + 1. Let l(i) = -h(i) - 6*w(i). Determine l(q(j)).
-2*j**2
Let x(f) = -3*f**2. Let u(q) = -4*q - 92. What is x(u(k))?
-48*k**2 - 2208*k - 25392
Let o(h) be the third derivative of 5*h**4/12 + 11*h**2. Let c(l) = -l. Determine o(c(p)).
-10*p
Let m(s) = -4*s. Let v(t) = 30*t + 1. Calculate m(v(j)).
-120*j - 4
Let x(d) be the third derivative of d**7/2520 - d**4/24 - d**2. Let g(l) be the second derivative of x(l). Let o(y) = 2*y + 12 - 12. Give g(o(w)).
4*w**2
Let d(g) = 110*g**2 - 3. Let y(q) = 10*q**2. What is d(y(a))?
11000*a**4 - 3
Let b(z) = -9*z**2. Let s(c) = 32*c**2. Give s(b(f)).
2592*f**4
Let b(y) = y. Let u(g) = 3*g**2 + 5*g + 5. Let a(k) = -k**2 - 2*k - 2. Let j be (4 + -1)*(-8)/(-4). Let w = 0 + 15. Let l(s) = j*u(s) + w*a(s). What is b(l(p))?
3*p**2
Let o(g) be the third derivative of g**4/12 - 5*g**2. Let u(i) = 2*i + 3. Let r(b) = 8*b + 13. Let z(m) = -6*r(m) + 26*u(m). Calculate z(o(f)).
8*f
Let f(q) = 0 + 0 - 2*q. Let s(l) be the third derivative of -l**6/720 + l**4/24 - l**2. Let o(t) be the second derivative of s(t). Determine f(o(w)).
2*w
Let q(x) be the second derivative of x**4/6 + 10*x. Let o(k) = -6*k**2. Calculate o(q(m)).
-24*m**4
Let m(h) be the second derivative of -h**6/360 - h**3/3 + 2*h. Let z(u) be the second derivative of m(u). Let o(w) = -2*w. Determine z(o(q)).
-4*q**2
Let c(t) = -t**2 + t + 1. Let p(u) = -5*u**2 + 2*u + 2. Let x(b) = 2*c(b) - p(b). Let q(k) = -k + k - k + 4*k. Give x(q(s)).
27*s**2
Let h(m) = -31*m. Let c(q) = -9 + 9 - 6*q. Let u(d) = 11*c(d) - 2*h(d). Let k(p) = p. Determine u(k(y)).
-4*y
Let g(d) = -d**2. Let k(q) be the first derivative of -8*q**3 + 14. Determine k(g(u)).
-24*u**4
Suppose 0 = 2*t + t. Let k(g) be the second
|
{
"pile_set_name": "DM Mathematics"
}
|
ivide 2 by -32.
-1/16
Calculate 4 divided by -47.
-4/47
Calculate -2 divided by 5.
-2/5
What is 385 divided by 1?
385
Calculate 5 divided by -85.
-1/17
Divide -1144 by 4.
-286
Calculate -37 divided by 81.
-37/81
Divide 29 by -31.
-29/31
Divide -1854 by -3.
618
Calculate 1060 divided by 530.
2
What is -164 divided by -6?
82/3
Divide 1885 by 1885.
1
Calculate -3 divided by 4698.
-1/1566
Calculate -492 divided by -4.
123
Divide -3633 by -1.
3633
What is 27 divided by -13?
-27/13
Calculate -1692 divided by 423.
-4
What is 9078 divided by -34?
-267
Calculate 8061 divided by 3.
2687
Divide 1190 by 5.
238
What is -874 divided by -437?
2
What is -694 divided by 4?
-347/2
Calculate -8 divided by 626.
-4/313
Divide 2124 by 3.
708
Calculate -819 divided by 819.
-1
-2196 divided by -6
366
Divide -4940 by -5.
988
2 divided by 34
1/17
Calculate 1320 divided by -264.
-5
-636 divided by -3
212
What is 165 divided by 33?
5
Divide 5876 by -2938.
-2
What is 120 divided by 5?
24
Divide 1584 by 132.
12
Divide 4 by 275.
4/275
-127 divided by -1
127
What is 0 divided by 29?
0
What is -650 divided by -65?
10
Calculate -5495 divided by -5.
1099
Divide -14724 by -1.
14724
Calculate 2820 divided by 60.
47
What is -14 divided by -1139?
14/1139
39 divided by -19
-39/19
Calculate 5395 divided by -13.
-415
What is 9 divided by 19?
9/19
Divide 173 by -15.
-173/15
What is 2 divided by 130?
1/65
11 divided by -78
-11/78
601 divided by -4
-601/4
What is 276 divided by -3?
-92
What is -4 divided by -31?
4/31
Divide 37 by 2.
37/2
2 divided by -144
-1/72
Calculate -37057 divided by -3.
37057/3
What is 327 divided by 4?
327/4
-361 divided by 19
-19
What is -336 divided by -2?
168
Calculate -4 divided by 126.
-2/63
96 divided by 4
24
Calculate 2185 divided by 115.
19
What is 97 divided by 7?
97/7
4 divided by -8
-1/2
4 divided by 510
2/255
Calculate -21820 divided by -5.
4364
Calculate -34060 divided by -52.
655
What is -3 divided by -15?
1/5
-9 divided by -71
9/71
Calculate -18 divided by 6.
-3
Calculate 4 divided by 105.
4/105
What is 752 divided by -4?
-188
Calculate -5 divided by -17.
5/17
Calculate -6323 divided by -2.
6323/2
2892 divided by 4
723
Divide -1436 by -359.
4
1 divided by 25
1/25
Calculate 1264 divided by 8.
158
Calculate -576 divided by -8.
72
Divide -83 by -83.
1
What is 1 divided by -1973?
-1/1973
What is 3200 divided by 5?
640
Divide 910 by 2.
455
What is -48 divided by 3?
-16
Calculate 75 divided by 25.
3
What is 0 divided by 58?
0
Calculate -25 divided by -25.
1
Calculate -19 divided by -1.
19
Divide 1255 by -251.
-5
93 divided by -6
-31/2
-1008 divided by -72
14
What is 1048 divided by 262?
4
Divide -241 by 1.
-241
5436 divided by -36
-151
Divide 12651 by -3.
-4217
Calculate 2 divided by -153.
-2/153
Divide 2 by 1678.
1/839
Divide -2478 by 3.
-826
Divide -28 by 14.
-2
What is -14 divided by -1?
14
Calculate 153 divided by -51.
-3
What is 6 divided by 157?
6/157
Calculate -5 divided by -5.
1
Calculate 0 divided by -55.
0
What is 385 divided by -11?
-35
Calculate 4 divided by -5161.
-4/5161
Divide 1061 by 4.
1061/4
Divide 8970 by -6.
-1495
Calculate 39 divided by -3.
-13
Divide 2 by -278.
-1/139
354 divided by -6
-59
Divide -2 by -582.
1/291
Calculate 470 divided by -235.
-2
Calculate 0 divided by 22.
0
What is -4 divided by 23?
-4/23
What is 0 divided by -317?
0
Divide 37 by -4.
-37/4
5229 divided by -1
-5229
Calculate -23 divided by 81.
-23/81
Divide 868 by -1.
-868
Calculate 6200 divided by -248.
-25
What is 28 divided by 16?
7/4
Calculate -264 divided by -33.
8
Divide 3482 by -8.
-1741/4
3 divided by -610
-3/610
What is 414 divided by -138?
-3
-277 divided by 1
-277
Calculate -27120 divided by 120.
-226
Divide -33930 by 3.
-11310
Calculate -956 divided by 3.
-956/3
Calculate 3 divided by 220.
3/220
What is 31 divided by -34?
-31/34
Calculate 5556 divided by 12.
463
Divide 834 by -6.
-139
21130 divided by -4226
-5
Calculate 0 divided by -243.
0
4 divided by -72
-1/18
Calculate -2163 divided by 721.
-3
Calculate 110 divided by 4.
55/2
-172 divided by 74
-86/37
What is 88572 divided by -3?
-29524
Calculate -1459 divided by 6.
-1459/6
Divide 225 by 1.
225
What is -1522 divided by -2?
761
Calculate 1206 divided by -402.
-3
Calculate 316 divided by 79.
4
-6290 divided by 1258
-5
Divide 5 by 618.
5/618
Calculate 4026 divided by 6.
671
What is 2024 divided by -1?
-2024
Divide 204 by -68.
-3
Calculate 26 divided by 27.
26/27
Calculate 45 divided by 3.
15
Divide 1400 by 2.
700
What is 0 divided by 335?
0
Calculate 20 divided by -42.
-10/21
Calculate 2498 divided by 2498.
1
Calculate 3904 divided by -488.
-8
What is -215 divided by -6?
215/6
Divide 1 by -216.
-1/216
-7072 divided by 416
-17
What is 2 divided by -1?
-2
Calculate -1 divided by -227.
1/227
Calculate 8378 divided by 118.
71
Calculate -14 divided by 566.
-7/283
What is -3 divided by -2260?
3/2260
What is -7 divided by -29?
7/29
Calculate -18 divided by -2.
9
Divide -10206 by 18.
-567
Calculate 1 divided by 95.
1/95
What is 17682 divided by 42?
421
Divide 0 by -120.
0
-185 divided by -5
37
Calculate -4 divided by 513.
-4/513
944 divided by 118
8
What is -301 divided by 1?
-301
207 divided by 3
69
Divide 290 by -58.
-5
Divide -1336 by -1.
1336
Calculate -1504 divided by -376.
4
What is 1623 divided by -3?
-541
464 divided by -16
-29
What is 13488 divided by -3?
-4496
Calculate -780 divided by 13.
-60
Calculate 0 divided by -3561.
0
Calculate 9680 divided by 880.
11
Calculate -315 divided by 105.
-3
Calculate -1134 divided by -3.
378
Calculate -1718 divided by 1.
-1718
Calculate -182 divided by 5.
-182/5
What is 71 divided by 69?
71/69
Calculate 348 divided by 3.
116
-3 divided by -135
1/45
Calculate -14 divided by 31.
-14/31
Divide 6765 by 33.
205
Calculate 0 divided by -9.
0
Divide -11388 by 12.
-949
Calculate -1884 divided by -471.
4
Divide -1 by -178.
1/178
What is 151 divided by 12?
151/12
Calculate -2627 divided by -37.
71
Calculate 103180 divided by 5.
20636
Calculate 488 divided by -244.
-2
Divide -3 by 709.
-3/709
Divide -117 by 6.
-39/2
What is -14926 divided by -878?
17
-2479 divided by -6
2479/6
Divide 15168 by -316.
-48
-978 divided by -6
163
What is 675 divided by 5?
135
What is -342 divided by -6?
57
-19818 divided by -2
9909
What is -2 divided by 832?
-1/416
Calculate 38 divided by 227.
38/227
What is -12 divided by -6?
2
-420 divided by -6
70
Divide 23 by -23.
-1
What is 5 divided by -324?
-5/324
-272 divided by -2
136
Calculate -4 divided by 1026.
-2/513
7 divided by -26
-7/26
225 divided by -25
-9
What is -375 divided by -5?
75
Calculate 2763 divided by -5.
-2763/5
What is 497 divided by -5?
-497/5
Calculate 33 divided by -3.
-11
-90 divided by 97
-90/97
What is -6112 divided by -8?
764
-3 divided by -873
1/291
Divide 232 by 116.
2
149 divided by 14
149/14
Calculate -168 divided by -28.
6
Calculate -594 divided by -6.
99
Divide -100 by -20.
5
Calculate 3 divided by 34.
3/34
What is 345 divided by 69?
5
Divide -363 by 121.
-3
4 divided by -52
-1/13
Divide -11 by 13.
-11/13
Calculate -1729 divided by 13.
-133
Calculate 5796 divided by -69.
-84
Calculate -179 divided by 2.
-179/2
Divide -74 by -37.
2
Divide 318 by -106.
-3
What is -4 divided by 51?
-4/51
What is 182 divided by 13?
14
What is 50 divided by -65?
-10/13
Calculate 240 divided by 57.
80/19
What is 12001 divided by 11?
1091
-69 divided by 3
-23
-3 divided by 3627
-1/1209
What is 32 divided by -8?
-4
Calculate 75 divided by 25.
3
Calculate 576 divided by -32.
-18
-268 divided by 30
-134/15
Divide -8 by -29.
8/29
What is -3 divided by 27?
-1/9
Divide -1 by -326.
1/326
Calculate -5810 divided by -2.
2905
9756 divided by 4
2439
172 divided by -2
-86
Calculate -58 divided by -58.
1
-90 divided by 90
-1
28 divided by 14
2
Calculate -10 divided by -10.
1
Divide -2 by 249.
-2/249
-2482 divided by -146
17
What is 21 divided by -155?
-21/155
Divide -60 by -5.
12
Calculate 513 divided by 1.
513
Divide 120 by 24.
5
Calculate 2652 divided by 78.
34
Divide 0 by 1422.
0
Divide -20 by 12.
-5/3
What is 0 divided by 39?
0
Calculate -7 divided by 749.
-1/107
Divide -9 by 3.
-3
Divide -554 by 2.
-277
Calculate 6612 divided by 6.
1102
What is -4 divided by -154?
2/77
Calculate 1216 divided by 3.
1216/3
What is 18 divided by -8?
-9/4
20 divided by -
|
{
"pile_set_name": "DM Mathematics"
}
|
= -83*f**3 - 1486*f**2 + 200*f + 1021. Give i(-18).
13
Let d(y) = 7*y**3 - 238*y**2 - 748*y - 8. Calculate d(-3).
-95
Let h(m) = 1170*m + 7487. Calculate h(-7).
-703
Let w(k) = k**3 + 52*k**2 + 301*k + 15653. Give w(-52).
1
Let k(n) = n**3 + 99*n**2 + 1750*n + 177. Calculate k(-76).
25
Let o(w) = 199*w**2 - 159*w - 25. Calculate o(2).
453
Let y(w) = -2392*w + 2298. What is y(1)?
-94
Let s(d) = -3024*d - 59. Determine s(0).
-59
Let o(s) = 1882*s - 239026. Give o(127).
-12
Let d(q) = -27*q**2 + 2180*q + 570. Determine d(81).
3
Let a(f) = -735*f - 5305. Determine a(-13).
4250
Let z(v) = v**2 - 1019*v + 203180. What is z(272)?
-4
Let p(b) = -b**3 + 47*b**2 - 33*b + 1115. Calculate p(47).
-436
Let z(v) = 225*v + 27792. Determine z(-115).
1917
Let d(z) = z**3 + 157*z**2 + 5892*z - 2824. Determine d(-94).
-4
Let u(a) = -352*a**2 - 1356*a - 1002. Determine u(-1).
2
Let s(k) = 3*k**2 + 5*k - 319. What is s(-22)?
1023
Let s(c) = 1091*c - 8079. Determine s(7).
-442
Let c(q) = 45794*q - 45804. Calculate c(1).
-10
Let w(h) = -62*h**2 + 6026*h - 1128. Calculate w(97).
36
Let n(b) = 35*b**2 - 26*b + 7. Determine n(4).
463
Let y(l) = -l**2 + 369*l + 156341. Determine y(-252).
-151
Let y(p) = -2*p**3 + 451*p**2 - 892*p - 18. Calculate y(2).
-14
Let f(z) = 2*z**3 - 138*z**2 - 164*z + 11647. Determine f(69).
331
Let u(w) = w**3 + 35*w**2 - 107*w - 1326. Determine u(-5).
-41
Let t(k) = 64*k + 6268. Calculate t(-87).
700
Let z(a) = 25*a**2 + 1198*a + 10873. What is z(-9)?
2116
Let h(b) = -b**3 - 3*b**2 + 120*b + 7. What is h(9)?
115
Let p(d) = -4*d**2 + 89*d + 3505. Calculate p(42).
187
Let t(l) = -86701*l - 1213823. Calculate t(-14).
-9
Let g(u) = -18*u**2 - 269*u + 12478. Calculate g(20).
-102
Let l(h) = 3136*h + 191611. Determine l(-61).
315
Let t(s) = 2*s**2 + 820*s - 15444. Calculate t(19).
858
Let l(o) = 2*o**3 + 17*o**2 - 1205*o + 8523. Calculate l(11).
-13
Let b(z) = 52*z**2 - 365*z + 20. What is b(5)?
-505
Let t(o) = o**2 - 38*o + 962. Give t(33).
797
Let t(k) = -3288*k - 34715. Give t(-10).
-1835
Let a(w) = -710*w**2 - 1221*w + 2445. Give a(2).
-2837
Let n(q) = 380*q - 179. What is n(3)?
961
Let l(n) = n**3 - 202*n**2 + 15*n + 37464. What is l(201)?
78
Let o(c) = 15*c**3 + c**2 - 32*c - 107. Give o(-3).
-407
Let s(y) = -3*y**2 + 41*y + 1714. Determine s(-21).
-470
Let m(s) = -4*s**3 + 69*s**2 - 261*s + 33. Give m(8).
313
Let g(b) = 11232127*b + 11232115. Determine g(-1).
-12
Let v(l) = l**3 + 80*l**2 + 128*l - 2145. Determine v(-78).
39
Let x(r) = r**3 - 18*r**2 + 116*r - 290. What is x(8)?
-2
Let f(p) = 374*p - 1955. Calculate f(6).
289
Let n(f) = -3*f**3 + 18*f**2 - 12*f - 19. Give n(8).
-499
Let v(r) = r**3 + 8*r**2 - 123*r - 897. Determine v(-10).
133
Let m(a) = -a**3 - 3*a**2 + 27*a + 52. What is m(-3)?
-29
Let n(j) = -j**3 + 919*j**2 - 6357*j - 24650. Determine n(912).
-26
Let t(x) = -22*x**3 - 43*x**2 + 131*x + 8. Calculate t(3).
-580
Let u(l) = -13*l**2 + 1023*l - 14204. Determine u(18).
-2
Let d(v) = 55652*v + 1892165. Determine d(-34).
-3
Let n(d) = -d**3 + 1390*d**2 + 3*d - 4173. What is n(1390)?
-3
Let i(p) = 3*p**3 + 60*p**2 + 40*p - 722. Give i(3).
19
Let c(w) = 466*w + 49128. Calculate c(-97).
3926
Let s(v) = 196*v + 4986. Calculate s(-28).
-502
Let f(n) = -2*n**3 + 10*n**2 - 152*n + 428. Give f(3).
8
Let x(q) = -59*q**3 - 11*q**2 - 30*q - 16. What is x(-3)?
1568
Let i(c) = -6*c**3 - 906*c**2 - 1767*c + 3135. Calculate i(-149).
6
Let z(o) = 52*o + 239. Give z(10).
759
Let t(x) = 3277*x - 16292. What is t(5)?
93
Let o(l) = -503*l - 79971. Give o(-159).
6
Let r(f) = -16*f**3 + 152*f**2 - 2*f + 68. What is r(10)?
-752
Let j(o) = 6*o**3 - 11*o**2 - 720*o + 3122. Determine j(5).
-3
Let u(g) = -g**3 - 326*g**2 + 1596*g + 307. Determine u(5).
12
Let a(v) = -10*v**3 + 16*v**2 - 14*v + 70. Determine a(2).
26
Let t(f) = 164*f - 3619. Determine t(17).
-831
Let l(j) = -2*j**3 - 83*j**2 + 427*j + 574. Calculate l(-46).
-24
Let l(s) = -s**3 + 32*s**2 - 123*s + 335. Give l(28).
27
Let m(d) = -24*d**3 - 40*d**2 - 106*d - 37. Determine m(-3).
569
Let a(h) = h**2 - 12484*h + 62352. Determine a(5).
-43
Let c(o) = o**3 - 11*o**2 - 182*o - 307. What is c(-7)?
85
Let y(g) = 2*g**3 + 49*g**2 + 162*g + 311. Give y(-21).
-4
Let h(r) = -5*r**2 - 4170*r - 33084. Calculate h(-8).
-44
Let w(t) = t**2 + 2228*t + 328979. Give w(-159).
8
Let p(a) = 72355*a - 72363. Give p(1).
-8
Let m(y) = -55619*y + 6006845. What is m(108)?
-7
Let m(o) = -2*o**3 + 128*o**2 + 2964*o - 103. What is m(82)?
881
Let o(j) = -3*j**2 + 2202*j - 210525. What is o(113)?
-6
Let t(a) = -5*a**3 + 84*a**2 - 50*a - 1820. Determine t(14).
224
Let b(t) = -t**3 - 10*t**2 + 19*t - 6. Determine b(-15).
834
Let x(j) = j**2 + 127898*j - 2174594. Calculate x(17).
-39
Let n(v) = -4231*v - 81237. Calculate n(-19).
-848
Let q(x) = -398*x + 961. Calculate q(3).
-233
Let y(d) = -124*d**2 - 3744*d - 842. Give y(-30).
-122
Let q(l) = -238260*l - 16201682. Determine q(-68).
-2
Let n(j) = 4*j**2 + 31*j - 268. Calculate n(7).
145
Let w(t) = 1556*t - 51339. Calculate w(33).
9
Let m(y) = -59*y - 17. Calculate m(0).
-17
Let f(z) = -2*z**3 - 11*z**2 + 149444*z + 1045956. Determine f(-7).
-5
Let q(x) = 26*x**2 - 159*x - 4550. Give q(-11).
345
Let d(c) = 8*c**2 - 1122*c - 1117. Determine d(-1).
13
Let w(g) = g**2 - 114*g - 16075. Give w(-82).
-3
Let q(h) = -3*h**3 + 11*h**2 + 29*h - 25. Determine q(-9).
2792
Let n(r) = -3*r**3 - 109*r**2 - 834*r - 1615. Give n(-4).
169
Let x(l) = 2*l**3 - 17*l**2 + 332*l - 78. Give x(13).
5759
Let l(q) = 13834*q - 179850. What is l(13)?
-8
Let j(c) = c**3 + 59*c**2 + 589*c - 2140. Determine j(-45).
-295
Let v(a) = 4966*a**2 - 193672*a - 52. What is v(39)?
26
Let m(k) = k**3 + 49*k**2 - 431*k - 309. What is m(8)?
-109
Let q(a) = 4*a**3 - 150*a**2 - 599*a - 13. Give q(-4).
-273
Let l(g) = 2*g**3 + 45*g**2 - 139*g - 631. What is l(-25)?
-281
Let w(h) = 55*h - 1160. What is w(46)?
1370
Let h(u) = u**2 - 249393*u + 1496332. What is h(6)?
10
Let q(s) = -17*s**3 - 52*s**2 + 93*s + 182. What is q(3)?
-466
Let h(j) = 57*j**2 - 1322*j - 8. What is h(25)?
2567
Let s(f) = -3326*f**2 - 914676*f - 7151. What is s(-275)?
-1
Let a(u) = 15*u**3 - 845*u**2 + 758*u - 26767. What is a(56)?
1
Let d(p) = -970*p**2 + 30067*p + 187. Calculate d(31).
94
Let q(k) = -97189*k - 97309. Give q(-1).
-120
Let h(v) = 236*v - 195. Calculate h(-1).
-431
Let n(c) = 568*c + 26433. Determine n(-46).
305
Let x(o) = -24397*o + 146380. What is x(6)?
-2
Let r(z) = 29*z**2 + 597*z + 1192. Calculate r(-2).
114
Let x(g) = g**3 - 26*g**2 - 72*g + 155. Determine x(28).
-293
Let c(b) = 2*b**2 + 1405*b - 68808. Calculate c(46).
54
Let c(u) = -233*u - 12143. Give c(-51).
-260
Let z(f) = -4*f**2 - 731*f + 5501. Give z(-190).
-9
Let f(w) = -1644*w + 9499. What is f(5)?
1279
Let w(d) = 6*d**3 - 135*d**2 - 157*d + 1586. Determine w(23).
-438
Let a(g) = 643*g - 26990. What is a(42)?
16
Let l(v) = 12*v**3 + 3*v**2 + 24*v + 49. Calculate l(-2).
-83
Let m(l) = 24*l**2 + 278*l + 61. Determine m(-10).
-319
Let t(b) = -18944*b - 170518. Calculate t(-9).
-22
Let z(d) = -d**3 - 106*d**2 - 1367*d - 329. Determine z(-91).
-147
Let j(u) = 14*u**3 + 248*u**2 + 719*u - 155. Calculate j(-14).
-29
Let v(x) = -28*x**3 + 147*x**2 + 1161*x - 5984. Determine v(5).
-4
Let f(w) = 588663*w - 588678. Calculate f(1).
-15
Let x(z) = -z**3 - 194*z**2 - 2*z - 832. Calculate x(-194).
-444
Let m(q) = -q**3 + 333*q**2 + 10143*q - 12638. Give m(361).
-3
Let u(x) = 4111*x + 970186. Determine u(-236).
-10
Let r(f) = -7*f**3 + 15*f**2 - 1375*f + 2741. Determine r(2).
-5
Let f(r) = -2001*r + 14500. What is f(7)?
493
Let c(b) = 16523*b - 512205. Calculate c(31).
8
Let u(o) = -2*o**3 + 946*o**2 - 393*o + 635639. Calculate u(474).
5
Let g(b) = 42*b**2 + 329*b + 1999. Give g(-6).
1537
Let o(q) = -12*q**2 - 303*q + 2270. Determine o(6).
20
Let p(a) = -a**3 + 143*a**2 + 1390*a + 23. Calculate p(-9).
-175
Let f(b) = -1547451*b + 10832180. What is f(7)?
23
Let n(y) = y**3 + 11*y**2 + 33*y - 65. What is n(-11)?
-428
Let b(l) = -56462*l + 790458. Give b(14).
-10
Let v(u) = -u**3 - 18*u**2 + 51*u + 44. Give v(-19).
-564
Let n(k) = 5*k**3 + 2316*k**2 + 458*k - 2269. Determine n(-463).
46
Let r(b) = 985*b**2 + 2895*b + 61. What is r(-3)?
241
Let p(v) = -3*v**3 - 63*v**2 + 193*v + 13. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
xpress 0*s + 8*s + 2*s**3 - 2 - 6*s + 4*s**2 in the form b*s + y*s**2 + h*s**3 + m and give m.
-2
Rearrange (6*s - 2*s - 2*s)*(34*s + 57*s + 52*s) + (2*s + 0 + 0)*(-s + 2*s - 2*s) to z + n*s + o*s**2 and give o.
284
Rearrange 17 - 25 - 8*q + 0*q + 4*q to z + d*q and give d.
-4
Rearrange (-1 - 2 + 2)*(2*i + 0 + 0) - 4*i + 9*i - 3*i + (-1 - 4 + 4)*(-2*i + 2 - 2) to the form n + u*i and give u.
2
Rearrange -2*a**3 + 3*a - a**2 - 4*a - 6*a**2 to the form u + o*a**3 + q*a + c*a**2 and give c.
-7
Express (4 - 4 - 3*j**3)*(1 + 3 + 0) as c + g*j**3 + y*j + v*j**2 and give g.
-12
Express -504 + 5*k - 2*k**3 + 504 + 2*k**4 as t*k**2 + f*k + q*k**4 + a + m*k**3 and give m.
-2
Rearrange 10*r**2 - 2 - 8*r**2 + r**3 + r**3 to h*r**3 + s*r**2 + q*r + u and give h.
2
Rearrange -88*i - 2 - 87*i + 177*i to the form o + t*i and give t.
2
Rearrange 0 + 0 + v**2 + (-2 + 4 - 3)*(v**2 - 4*v**2 + 2*v**2) + 0*v + v + 14*v**2 - 10*v**2 to o*v + m + x*v**2 and give x.
6
Rearrange (-14 - r + 6 + 10)*(-2 - 3 + 4) to d + c*r and give d.
-2
Rearrange 5*d**3 + 2*d**3 - 8*d**3 - 7 + 5*d - 3*d to w + k*d**3 + a*d + l*d**2 and give l.
0
Rearrange s - 3*s + 3*s + 62 to u*s + h and give u.
1
Rearrange 8*z - 8*z - 5*z**4 + (-4*z + 4*z - z**3)*(0 + 0 - 3*z) to w*z**3 + s*z**4 + t*z + p + h*z**2 and give s.
-2
Express (199*v**2 + 177*v**2 - 448*v**2)*(0 - 1 - 2)*(3 - 1 - 1) as t*v + q + u*v**2 and give u.
216
Express 7 - 2 - 18 - 45 - 2*g as a + j*g and give a.
-58
Express 4*o**2 - 6*o**2 + o**2 + (-7*o - 2 + 5*o + 6*o)*(-o + 0*o + 3*o) - 4*o**2 - 5*o**2 - o**2 in the form g*o**2 + f*o + u and give g.
-3
Express -16 + 5*b**2 - 3*b**4 + 0*b**3 + b**3 + 4*b**4 + 17 as c*b**2 + n + q*b**4 + f*b + w*b**3 and give q.
1
Express -10*j + 14 + 12*j - 3 as l*j + t and give l.
2
Rearrange -159*n + 96*n + 2 + 2*n**4 + 0 to k*n**2 + c*n**3 + x + m*n + s*n**4 and give x.
2
Rearrange -214*o + 3*o**3 + 214*o + 6*o**2 - 1 to d + k*o**2 + i*o + s*o**3 and give k.
6
Express 2*q**3 + q**2 - q**2 + 19*q - 19*q + 5*q**3 - 3*q + 3*q - 4*q**3 + (2 - 2 - 1)*(2*q**3 + 3*q - 3*q) in the form u + j*q**3 + w*q + r*q**2 and give u.
0
Express ((3*t + 0*t - 4*t)*(1 - 1 + 2) - t + t + t + (-3*t + t + t)*(-1 - 1 + 4))*(3*t + 2*t + t) in the form r*t + p + l*t**2 and give l.
-18
Rearrange -3 + 3*m**2 + 5 + 3*m**3 - 2*m**3 + 2*m**3 to r*m**2 + w + h*m + o*m**3 and give r.
3
Rearrange -2*s**2 + 0 + 2 + 8*s**4 + s**4 to the form p*s**3 + v + u*s**4 + a*s + y*s**2 and give y.
-2
Rearrange -7 - k**2 - 13 - 16 - 2*k - 5 to j*k + q + c*k**2 and give j.
-2
Express (-k**3 + 0*k**3 - k**3)*(-2*k - 6*k - 2*k) in the form l*k**4 + o*k**2 + s*k**3 + a*k + n and give s.
0
Rearrange (-2*h**3 - 2*h**3 + 5*h**3)*((2*h + h + 0*h)*(-1 + 3 - 4) + 4 - 2*h - 4 + 2 - 3*h - 2) to i*h + s*h**3 + c + k*h**2 + l*h**4 and give l.
-11
Rearrange -2 + 13 - 7 + h**4 + 1 + 4*h**3 + h to the form z*h**4 + v + m*h**3 + n*h + b*h**2 and give z.
1
Rearrange (10*n + 107*n - 58*n)*(0 + 0 + 2) to the form c*n + t and give t.
0
Rearrange 3*y**2 + 10 + 0*y**3 - 10 - 2*y**3 to the form g*y**3 + w*y + i*y**2 + j and give g.
-2
Express (2*u + u + 10*u)*(-1 - 2 + 1 - 3 + 5 - 1 + (2 - 2 + 2)*(4 - 3 + 1)) in the form c*u + d and give c.
39
Rearrange -5*q**3 + 4 - 4 + (4*q - 2*q**2 - 4*q)*(-2 - q + 2) + 64*q**2 + 2*q**3 - 64*q**2 to the form p*q**2 + a*q**3 + r + l*q and give a.
-1
Express -4 + 4 + 8*a + 0*a in the form y + r*a and give r.
8
Express (-4*g + 3*g - g - 2)*(2*g - 2*g + g**3 + (4 - 4 - 2*g**2)*(-3*g + g + 4*g) + g**3 - 5*g**2 + 5*g**2) as j*g**2 + r*g**3 + i*g**4 + q*g + h and give i.
4
Express (-3*u + u + 0*u)*(-u - 6*u + 6*u)*(1 - 1 + u**2) in the form h*u**2 + n*u + q*u**4 + l + x*u**3 and give q.
2
Rearrange 1791*r - 9*r**2 - 1791*r to the form t*r**2 + a*r + v and give t.
-9
Express -7*d + 20*d + 6*d in the form g + t*d and give t.
19
Rearrange 2*a + 7*a + 9*a + (-a + 0*a - a)*(-1 + 1 + 1) + (2 - 5 + 1)*(2*a + 3*a - 7*a) to the form x + s*a and give s.
20
Rearrange 3 - 2 - 1 - 22*d to the form z + a*d and give a.
-22
Rearrange (3*x - 3*x - 2*x)*(-1 - 1 + 0) + x - 4*x - 7*x to g*x + o and give g.
-6
Rearrange -3*r + r - 3*r + 6*r to the form f + a*r and give a.
1
Express 2*u**2 - u**2 + u**2 - 2*u**4 - 2*u**3 - 2 in the form s*u**3 + m*u**4 + j*u + t + k*u**2 and give k.
2
Express -2 + 2 - 4*c**2 + c**2 - 3*c**2 + 0*c**2 + (1 - 5 + 3)*(3*c**2 - c**2 - c**2) - 11 - 23*c**2 + 11 in the form z + v*c + j*c**2 and give j.
-30
Express (6 - 1 + 1)*(t**2 + 1 + t**2 - t**2) in the form s + i*t**2 + d*t and give i.
6
Rearrange -7*r**4 - 138*r**3 + 138*r**3 + 2 - 2*r to the form k*r + a*r**3 + d*r**2 + b + s*r**4 and give k.
-2
Express (-5*h**2 - 30263*h + 30263*h)*(-5 + 0 + 3) in the form x*h + l + y*h**2 and give x.
0
Rearrange 2*u**3 - 18 - u**3 - 3 - 3 to y + s*u + j*u**2 + a*u**3 and give a.
1
Rearrange -34*v**3 + 15*v - 15*v + 0*v + 0*v - 3*v**3 + (1 - 1 - v)*(2*v - 2*v - 2*v**2) to n + r*v**2 + g*v + x*v**3 and give g.
0
Rearrange 187*j - 32*j**3 - 187*j + 2*j**2 to z*j**2 + c*j + t + k*j**3 and give z.
2
Rearrange (-3 - 1 + 2)*(-c + 4*c - 5*c) + 5*c - c - 1 - c to s*c + d and give d.
-1
Rearrange -5*c + 4*c - c + (1 + 1 - 1)*(3*c + 2 - 2) to p*c + q and give p.
1
Express 3*d - 3*d - 2*d + (-3 + 4 + 1)*(-3 + 3 - 2*d) + 0 + 0 + 2*d + 4*d - 2*d - 5*d in the form m*d + i and give m.
-7
Express -5*j + 3*j + 13*j + (6*j - j - 4*j)*(-5 + 3 + 1 + 1 + 3 - 5 + (1 - 5 + 2)*(3 - 4 - 1) + 0 - 2 + 0 - 2 + 5 - 2)*(-2 - 1 - 1) as p*j + h and give h.
0
Express -c**2 - 3*c**3 - 4*c**4 + 2*c**3 + 4*c**4 + 3*c - c**4 as h*c**2 + a + r*c + l*c**4 + o*c**3 and give l.
-1
Rearrange (3 - 4*t - 3)*(-2*t + 0*t - t) - 2*t**2 + 2*t**2 + 3*t**2 + t**2 + t**2 + 0*t**2 to the form i*t**2 + h*t + c and give c.
0
Rearrange -3*m + 155 + 21*m - 157 to a*m + y and give y.
-2
Rearrange -2*v**2 - v**3 - 18*v + 0*v**2 + 19*v - 7 to the form u + o*v**2 + m*v + n*v**3 and give o.
-2
Express -5*l**3 - l**3 + 4*l**3 + (-l - 2 + 2)*(10*l - 10*l + 14*l**2) + 2 - 2 - 2*l**3 as d*l**2 + q + u*l + b*l**3 and give b.
-18
Rearrange -37*o - 33*o - 2*o**3 + 60*o to p*o + y*o**3 + n*o**2 + s and give y.
-2
Rearrange -2*v**2 - 1 + 4 + 20*v**2 - 2 to c*v + u*v**2 + o and give o.
1
Express (-1 + 3 - 1)*(-81 + 2*o + 31 + o) in the form a + i*o and give i.
3
Express (0 - 4 + 2)*(0*m + m + 0*m + m - 3*m + 0*m + (0 + 2 + 0)*(0*m + 2*m + 0*m) + (4 - 2 + 0)*(2*m - 6*m + 3*m)) in the form i + b*m and give b.
-2
Express -307 - 2*r + 307 - 3*r**2 as g*r**2 + s*r + c and give g.
-3
Express -9*p**3 + p**2 - 6*p**2 + 8*p**3 in the form h*p + i*p**2 + f + j*p**3 and give i.
-5
Rearrange -4*x - 4*x + 2*x + 0*x to a + n*x and give n.
-6
Rearrange 6 - q**3 - 31*q + 31*q + 3*q**3 to z*q**2 + u + m*q + w*q**3 and give w.
2
Rearrange -28*v + 0*v + 2*v - v to the form f*v + y and give f.
-27
Express -s - 232*s**3 + 195*s**3 + 2*s + s**2 as h + j*s**3 + g*s + q*s**2 and give j.
-37
Rearrange -158 + 0*r + 75 + 107 - r to g*r + z and give g.
-1
Express (-4 - h - 12*h**2 + 2*h + 10*h**2)*(-2*h**2 - h**2 - 5*h**2) as s*h**4 + g*h + j*h**3 + u*h**2 + w and give g.
0
Express (w + 4*w - w)*((-2*w - w - 4*w)*(-1 + w + 1) - w**2 - 4*w**2 + 4*w**2) in the form v*w + h*w**3 + r*w**2 + g and give h.
-32
Express (2 + 6 - 3)*(0*k**4 - 4*k**4 - 2*k**4) as g*k + h*k**3 + j + s*k**4 + w*k**2 and give j.
0
Express (-5*h + 3*h + 3*h)*(2 - h - 2) + (-2 + 1 - 3)*(2*h**2 - 2*h**2 - h**2)*(3 + 0 - 4) in the form u*h + w + x*h**2 and give x.
-5
Rearrange -46*m + 106*m + 78*m to y + u*m and give u.
138
Rearrange -4*l + 3*l - 3*l + 6*l to c*l + d and give c.
2
Express -62*v**3 - 1 + 2*v**2 + 1 - 1 + 2*v**4 + 64*v**3 as b*v + y*v**4 + t*v**2 + n*v**3 + m and give t.
2
Express (g + 3*g + 0*g)*(-3*g**2 + 3*g**2 + g**3)*(-4 - 2 + 7) + 0*g**4 - 2*g**4 - 4*g**4 in the form b*g**3 + l + j*g + t*g**4 + o*g**2 and give t.
-2
Rearrange (x - x + 2*x**2)*(-11*x + x + 5*x) to k*x**3 + g*x**2 + i*x + j and give k.
-10
Rearrange 102*g - g**2 - 79*g - 3*g**2 to the form o*g + h*g**2 + w and give o.
23
Express 5 - 35*z + 3*z**3 + 33*z - 4 - z**3 in the form v*z + b*z**2 + s + i*z**3 and give v.
-2
Rearrange (-2*u - 15 + 11 + 5)*(0*u - 3*u + 5*u) + (2*u + u - 5*u)*(-4*u - 5 + 5) to s*u**2 + q*u + g and give q.
2
Rearrange 2*n + 2*n**3 - 14*n**2 + 13*n**2 + n - 2*n
|
{
"pile_set_name": "DM Mathematics"
}
|
153
What is 5 divided by 227475?
1/45495
What is -785213 divided by 143?
-5491
4 divided by 1582
2/791
Divide -65793 by -5061.
13
Divide 0 by -441.
0
Divide -787 by -787.
1
What is -205635 divided by -41127?
5
-4 divided by 280662
-2/140331
1877900 divided by -75116
-25
-2 divided by -52029
2/52029
Divide 903856 by -8.
-112982
-676944 divided by 4
-169236
-369 divided by 749
-369/749
What is 561990 divided by 1703?
330
Calculate 11097189 divided by -3.
-3699063
Calculate -1 divided by -22552.
1/22552
Calculate -90588 divided by 12.
-7549
Divide -22545 by -5.
4509
2052 divided by -2
-1026
Divide -26 by -8991.
26/8991
What is -163770 divided by 6?
-27295
-9314 divided by 90
-4657/45
-2 divided by 266685
-2/266685
Divide -1489048 by -1.
1489048
Calculate 23632 divided by -1688.
-14
202300 divided by -289
-700
What is -49478 divided by 49478?
-1
What is 125877 divided by 125877?
1
2957 divided by 1
2957
-1417695 divided by -15
94513
What is -34710 divided by -3?
11570
Divide -144447 by -33.
48149/11
What is 323082 divided by 5983?
54
4746 divided by -67
-4746/67
What is -32 divided by 778?
-16/389
Calculate 2 divided by -27595.
-2/27595
Calculate 285 divided by -3617.
-285/3617
What is 8563870 divided by 1712774?
5
What is 5 divided by -92417?
-5/92417
What is -57645 divided by 5?
-11529
Calculate -5 divided by 300970.
-1/60194
What is 5 divided by -235660?
-1/47132
-23470 divided by 4694
-5
102 divided by 5794
51/2897
-385539 divided by -3
128513
Calculate -974200 divided by -194840.
5
Divide -26335 by -5.
5267
Divide 129465 by 45.
2877
What is 135520 divided by 560?
242
-13175 divided by 31
-425
Calculate 141056 divided by 1216.
116
-296684 divided by 17452
-17
What is -149125 divided by -125?
1193
0 divided by -45928
0
What is -379 divided by 275?
-379/275
Calculate -12107 divided by -3.
12107/3
Divide -7436 by 207.
-7436/207
Calculate -412470 divided by -2.
206235
Divide 238260 by 30.
7942
What is -208005 divided by 245?
-849
Calculate -313 divided by -292.
313/292
2702688 divided by 4
675672
10 divided by -440509
-10/440509
Calculate -423488 divided by 509.
-832
Calculate -1245620 divided by -10210.
122
447269 divided by 5
447269/5
1194258 divided by -3263
-366
Divide 54036 by -36.
-1501
2815026 divided by 2
1407513
Calculate 12 divided by 71717.
12/71717
Divide -227664 by -248.
918
Calculate -3 divided by -960.
1/320
What is -113994 divided by 18?
-6333
Calculate -283123 divided by 4.
-283123/4
Divide 1219932 by -7.
-174276
Divide -1219023 by 45149.
-27
Divide 621411 by 127.
4893
Divide -70 by -616.
5/44
Divide -63026 by -1.
63026
Calculate 8 divided by 622496.
1/77812
Divide 7991 by 16.
7991/16
Divide 12880 by 184.
70
What is 4 divided by -8370?
-2/4185
204904 divided by 56
3659
Calculate 12774 divided by -7.
-12774/7
-93138 divided by -3
31046
-6153 divided by -3
2051
-5599636 divided by 1
-5599636
Calculate 158959 divided by -4.
-158959/4
What is 288044 divided by 1?
288044
Calculate 358224 divided by 22389.
16
-112 divided by -12468
28/3117
What is -13 divided by 756?
-13/756
Calculate 282 divided by -138.
-47/23
-1467 divided by 409
-1467/409
What is -1196944 divided by -112?
10687
What is 176601 divided by 7?
176601/7
Calculate -33425 divided by -191.
175
What is 0 divided by 20688?
0
-103968 divided by 171
-608
Divide -30609 by 2.
-30609/2
12346410 divided by -6
-2057735
What is -80729 divided by -179?
451
58665 divided by -3911
-15
-9 divided by 191476
-9/191476
What is 3610 divided by 55?
722/11
828698 divided by 26
31873
Divide 56030 by 5.
11206
What is -4102 divided by -29?
4102/29
What is -497 divided by 129?
-497/129
What is 107 divided by -319?
-107/319
-1 divided by -468985
1/468985
What is -1498980 divided by 14276?
-105
485888 divided by -2336
-208
-5 divided by -17533
5/17533
Calculate -1 divided by 5610.
-1/5610
Calculate -5 divided by -16594.
5/16594
Divide -168 by 56.
-3
1608968 divided by 4
402242
-269 divided by 220
-269/220
Divide -3 by 446091.
-1/148697
Calculate 96099 divided by 3.
32033
Divide -265 by -614.
265/614
What is 67443 divided by 7?
67443/7
Divide -31508 by 4.
-7877
-2089450 divided by -3799
550
-42708 divided by -3559
12
Calculate 572606 divided by 286303.
2
Divide -1 by 41479.
-1/41479
Calculate 21982 divided by -758.
-29
-833625 divided by 513
-1625
34789 divided by -6
-34789/6
5 divided by -21212
-5/21212
0 divided by -530990
0
Divide 455160 by -3.
-151720
0 divided by 4852
0
Divide -50130 by -5013.
10
Divide -23 by -245824.
1/10688
1490830 divided by -10
-149083
Calculate 2341170 divided by -3915.
-598
Divide 57400 by 410.
140
-2 divided by -488034
1/244017
What is -50292 divided by 11?
-4572
Calculate 59545 divided by -6.
-59545/6
Calculate 6862 divided by -5.
-6862/5
Divide -60367 by 13.
-60367/13
What is 30765 divided by -3?
-10255
Divide -82 by 8272.
-41/4136
1793 divided by 164
1793/164
Divide -49938 by -4.
24969/2
Divide -1229 by -142.
1229/142
290 divided by 1322
145/661
What is 69930 divided by -333?
-210
47766 divided by 419
114
What is 86562 divided by 1?
86562
-10948 divided by -2737
4
-1 divided by 14549
-1/14549
What is -46 divided by 5909?
-46/5909
Calculate 125604 divided by 41868.
3
What is -2046 divided by -93?
22
Calculate -10695 divided by 465.
-23
46889 divided by -3
-46889/3
What is -54 divided by 57?
-18/19
-654608 divided by 251
-2608
Divide -3560130 by 254295.
-14
Divide -41064 by 8.
-5133
Divide -34 by 3235.
-34/3235
Calculate -2 divided by 77818.
-1/38909
Calculate -1784500 divided by -500.
3569
Calculate -1568175 divided by -104545.
15
-5 divided by 820158
-5/820158
9 divided by 229167
1/25463
What is 231 divided by 42?
11/2
What is -2 divided by -71159?
2/71159
Divide -419794 by 9.
-419794/9
-5685 divided by 95
-1137/19
-607100 divided by 5
-121420
120344 divided by -4
-30086
-75150 divided by 90
-835
254124 divided by 12
21177
Divide -5 by -7751.
5/7751
Calculate 5200 divided by -6.
-2600/3
What is -185461 divided by 185461?
-1
-44465 divided by -8893
5
What is -9393408 divided by -2416?
3888
Divide 1169 by 1.
1169
Divide 4099 by 5.
4099/5
Calculate 5149692 divided by -286094.
-18
35078 divided by -6
-17539/3
Divide -69144 by -201.
344
Calculate -57507 divided by 3.
-19169
-75606 divided by 6
-12601
Calculate 4 divided by -82516.
-1/20629
23272 divided by 2
11636
Calculate -407142 divided by -135714.
3
83 divided by -1925
-83/1925
What is -1746 divided by -17?
1746/17
Calculate 1152 divided by 96.
12
Calculate -1049570 divided by -5095.
206
-3055270 divided by -10
305527
256110 divided by -25611
-10
What is -35849 divided by -5?
35849/5
-238068 divided by -59517
4
What is 13 divided by 37721?
13/37721
Calculate -2615 divided by -93.
2615/93
Calculate -203196 divided by -101598.
2
346 divided by 4234
173/2117
26087 divided by -19
-1373
-26 divided by -196
13/98
What is 2 divided by -17120?
-1/8560
What is 134120 divided by -7?
-19160
What is -39904 divided by -2?
19952
Calculate 800 divided by 192.
25/6
Calculate 0 divided by -22050.
0
Calculate 13437 divided by 3.
4479
Divide -80214 by -3.
26738
37392 divided by -123
-304
Calculate -289316 divided by -479.
604
What is -3763 divided by 107?
-3763/107
Divide 25755 by 51.
505
What is 2054550 divided by -3?
-684850
What is 19110 divided by 245?
78
Divide 6 by -33493.
-6/33493
Calculate 122 divided by -17547.
-122/17547
Divide 0 by 383365.
0
Calculate -2914 divided by -71.
2914/71
Divide -298915 by 955.
-313
2240 divided by -2
-1120
Calculate 0 divided by -1826.
0
Divide 1324631 by 77.
17203
Calculate -185638 divided by 1.
-185638
2670096 divided by 3
890032
Divide -24352 by 3044.
-8
What is -26 divided by 1491?
-26/1491
What is -27785 divided by -4?
27785/4
What is -37575 divided by -7515?
5
What is 2099520 divided by 2592?
810
1359255 divided by 1
1359255
Calculate -1 divided by -11546.
1/11546
Calculate -579468 divided by 12.
-48289
What is -28986 divided by -6?
4831
Divide 467 by 86.
467/86
150348 divided by 67
2244
What is 190656 divided by 7944?
24
Divide 66533 by -15.
-66533/15
What is 1 divided by 95188?
1/95188
Divide 1022288 by 2.
511144
What is 3312624 divided by 168?
19718
Divide -18 by -40.
9/20
What is 3036355 divided by -3?
-3036355/3
Divide 8472 by 706.
12
Calculate -336222 divided by -9.
37358
Calculate -
|
{
"pile_set_name": "DM Mathematics"
}
|
j*h, -3*h + 4*s = -12. Suppose -42 + 710 = h*w. Is w a prime number?
True
Suppose -971*g + 932*g + 8625201 = 0. Is g a prime number?
True
Let l(q) = 5*q**3 - 26*q**2 + 14*q - 186. Is l(37) composite?
False
Let o = 25145 - -31562. Is o a composite number?
True
Let s be (2/(-6))/((-14)/84). Suppose -5*n = -4*u - 2*n - 9, n + 7 = -s*u. Let z(h) = -19*h**3 + 6*h**2 - 3*h - 3. Is z(u) a prime number?
False
Let w = 104738 + -73969. Is w a prime number?
False
Let d(s) = 794*s + 5. Let h be d(-2). Let c = h - -834. Let v = -490 - c. Is v prime?
False
Let n(b) = -b**3 + 4*b**2 - 2*b - 4. Let t be n(3). Let v = 385 - 316. Is (2 + v/(-3))/t prime?
False
Is 33457/(-4)*(-223 - -219) a composite number?
False
Is 36/(-24)*(4951888/24)/(-1) prime?
True
Let v be (-6)/18 + (-5)/3 + 2. Suppose 7*c + 75 = 4*o + 2*c, v = -2*o + 4*c + 36. Let x(t) = t**3 - 18*t**2 - 19*t - 23. Is x(o) a prime number?
True
Let k = 46 + -26. Let d be (-1)/(-2)*k/2. Suppose -3*j + d*c = -12136, 4027 = j + 2*c - 0*c. Is j prime?
False
Suppose 4*o - 5*o = -42. Let a = 42 - o. Suppose 2*l = -a*l + 674. Is l composite?
False
Let p(d) = -2*d + 34. Let j be (1 + (-85)/10)*-2. Let k be p(j). Suppose 0 = -t - 4*l + 71, t + k*l + l - 66 = 0. Is t a composite number?
True
Suppose -2*r + 5*n = -2002, -2*r - 8*n + 2050 = -5*n. Suppose -3 = -3*f - z, z = f + 4*z + 7. Suppose 210 = f*s - r. Is s a prime number?
True
Let a be (((-13)/8)/(-13))/(1/16). Suppose -3*y + 4*v = -v - 9, -y + 3*v = -3. Suppose a*p - 886 = -2*h - h, -5*h - 1367 = -y*p. Is p a composite number?
False
Let c(k) be the first derivative of -k**3/3 + 6*k**2 - 5*k + 10. Let i be c(13). Is (368/48)/((-2)/i) a composite number?
True
Let t be (12/15)/(32/560). Suppose 16*s - 20630 = t*s. Is s a prime number?
False
Suppose -4*s = h - 3405008, -53*s - h = -54*s + 851247. Is s a prime number?
True
Let u be 3/((-3)/1) + 2. Suppose -3*z - 3*x - 11 = -2*z, 22 = -5*z - 4*x. Is (u/2)/((-3509)/(-1754) + z) a composite number?
False
Suppose -6*f + 4*f = 20. Let q be (-2)/f + (-16588)/65. Let n = q + 922. Is n prime?
False
Let b = -36 + 39. Suppose -b*f - 2*f = -15475. Suppose 5*s = -5*c + s + f, 0 = c - 3*s - 638. Is c prime?
False
Suppose f - 4 = 4*h, -f + 3 = 2*f - 3*h. Suppose 0 = -2*b - 4 + 18. Suppose f = -2*m + b*m - 2675. Is m a composite number?
True
Suppose 2*g + 17778 = -g + 2*h, -5*g - h = 29617. Let k = 8529 + g. Is k a prime number?
False
Suppose -20*u - 7133243 = -22*u - 21*u. Is u a prime number?
False
Is (-110845156)/(-1865) - (-3)/5 a composite number?
True
Is (-375)/(-1625)*125593*1 composite?
True
Let i(a) = -12934*a**3 + 3*a**2 + 2*a + 2. Let o be i(-2). Suppose o = 19*h - h. Is h prime?
True
Suppose -3350*c = -3326*c - 2338584. Is c a prime number?
True
Suppose 6*k + 186133 - 283446 = 495493. Is k composite?
False
Let w(n) = 481*n**3 - 4*n**2 - 3*n. Let o(v) = 1444*v**3 - 11*v**2 - 9*v. Let k(x) = 6*o(x) - 17*w(x). Is k(2) prime?
False
Let y = -121425 - -218572. Is y prime?
False
Suppose -4 = 3*r - 13. Suppose 7*a - 2*a = 25. Suppose -r*q = -4 - a, 5*q = -f + 430. Is f prime?
False
Suppose 29*k = 34*k + 425. Let c = k + 392. Is c composite?
False
Let u = 64078 - 16005. Is u composite?
False
Let z(v) = -3871*v**3 + 3*v**2 + 43*v + 139. Is z(-4) a prime number?
True
Suppose 3*y = -q + 14864, 0 = 5*q - 4*y - 1245 - 72999. Suppose 0 = -15*z + 1063 + q. Is z composite?
False
Suppose -8*r + 62*r - 45900 = 0. Is (-1715646)/(-50) - (-68)/r prime?
True
Suppose 0*n - 28 = -4*n. Let o(x) = -2*x**2 - 8*x**2 + n*x + 2*x**3 - 2*x - 12 - 2*x. Is o(11) composite?
True
Let l(p) = 19054*p**2 + 101*p + 4. Is l(3) a composite number?
False
Suppose -198 = -11*p + 110*p. Suppose -r + 3*r = -16. Is p/(r/(-12)) + 214 a prime number?
True
Let k(w) = -85*w - 147. Let r(x) = 85*x + 147. Let y(i) = 4*k(i) + 3*r(i). Is y(-10) composite?
True
Suppose -4*u - 3*p - 14 = 0, 2*u + 3 + 5 = -2*p. Let q be (u/(-5))/(1/5). Suppose -c - 11 = -q*c. Is c composite?
False
Let d(f) = 60*f**2 - 12*f - 99. Let s be d(-6). Suppose -15564 = -3*u + s. Is u prime?
False
Is -5 + (-13 - -19)*135186 a composite number?
True
Suppose 7*i + 18 = 3*i - 2*n, -11 = -2*i + 3*n. Let k(d) = 60*d**2 + 8*d + 3. Let o be k(i). Suppose 5*l + 0*a + a = 572, -a + o = 2*l. Is l a prime number?
False
Let q = 532664 - 289495. Is q a composite number?
True
Suppose -19*m + 17898 = -21*m. Let a = m - -14206. Is a a prime number?
False
Let m be (-3)/2*(-12)/9. Suppose 9*x - 10 = 7*x. Suppose p = m*p - 1, x = a - 5*p. Is a a composite number?
True
Suppose -2*m = -4*u + 92, 3*m + 12 = u - 21. Let l be -2*-46*100/24*-18. Is 3/7 - l/u a prime number?
False
Suppose -3*l - 22 = -4*l. Suppose 33 = 5*g + 4*h, 3*g - l = -g - h. Suppose 5*j - 3520 = 5*b, -g*j + 3502 = 5*b - 4*b. Is j composite?
False
Suppose 0 = -3*w + 4*u + 42325, w - 3*u - 6167 - 7943 = 0. Is w a composite number?
False
Suppose -7*m + 3167 = 2*b - 10*m, 2*m - 14 = 0. Is b a composite number?
True
Suppose -2*q + 576*z - 580*z = -281722, -2*q + 4*z + 281650 = 0. Is q a prime number?
False
Suppose -3*y - 1624 = -280. Let k = 69 - 962. Let s = y - k. Is s a composite number?
True
Let z(g) = -533*g - 19. Let o be z(-19). Let q = -2549 + o. Is q composite?
False
Suppose -34082 - 6320 = -2*k. Let y = k - 5780. Suppose -3916 + y = 5*c. Is c a composite number?
True
Let h(n) = -243*n**2 - 11*n - 27. Let k(b) = -241*b**2 - 10*b - 28. Let t(j) = -5*h(j) + 4*k(j). Is t(-9) composite?
False
Let x(a) = a**3 - 7*a**2 + 9*a - 13. Let v be x(8). Is (-344)/4*v/(-6) a composite number?
True
Suppose -3*x = -4*s - 128, 2*s - 5*x + 79 = 15. Let z(f) = -103*f - 210. Is z(s) prime?
False
Let r be (-8)/12 - (3270/(-18) - -2). Suppose r - 2940 = -11*y. Is y a composite number?
False
Suppose -147*q + 4*b - 220675 - 39463 = -149*q, 0 = -4*b. Is q prime?
True
Let a(b) = 120 - 176*b - 44*b + 55 + 2. Is a(-13) a composite number?
False
Suppose 0 = -5*q + 2*o + 18611 + 35802, 4*o - 10887 = -q. Is q a prime number?
True
Suppose -7*b + 2*b + 25 = 0. Suppose 0 = -4*z + b - 13. Is 885 + 6 + z - 0 composite?
True
Let n(z) = -z**3 + 9*z + 3. Let r be n(-4). Suppose -5*f - r - 14 = 2*g, 2*g = -2*f - 54. Is 8/((-120)/(-70187)) + 4/g prime?
True
Let v = 2 + 42. Let f = -56 + v. Is (-234)/(-10) + (f/(-20) - 1) a composite number?
False
Let a = -3062 - -4938. Suppose a = 7*d - 5*d - q, -5*q - 10 = 0. Is d a composite number?
False
Let y(a) = 130*a - 32. Let n(c) be the first derivative of 43*c**2/2 - 11*c + 12. Let v(m) = -7*n(m) + 2*y(m). Is v(-8) prime?
False
Is ((-4860506)/84)/((-6)/36) a prime number?
False
Let v = -111250 - -164164. Suppose -v = -32*j + 30*j. Is j composite?
True
Let m be 2/(3 + -4)*(-26)/(-4). Let x(y) = -305*y - 8. Is x(m) composite?
True
Suppose 4*y + z = -y + 234530, 0 = -2*y + 5*z + 93839. Is y composite?
True
Suppose 2*y = -4*i + 39010, -i + 10*y + 9750 = 11*y. Let r = -2976 + i. Is r composite?
False
Suppose 1379 = -h + 12*m - 7*m, 3*h + 3*m = -4047. Let x = h - -2531. Is x composite?
True
Let k(c) = 248*c + 57. Let r(v) = -384*v + 219*v - 5 + 4 - 37. Let b(g) = -5*k(g) - 8*r(g). Is b(9) a composite number?
False
Let v = -129 + 141. Suppose -v*s + 122778 = 21198. Is s prime?
False
Suppose -3*r = -2*r - 5. Let o(z) = -7*z + 45. Let p be o(6). Suppose r*g - 5 = 0, -u - 538 = -2*u + p*g. Is u a prime number?
True
Let n be (-4)/(-15)*-5*-3. Suppose -2*f + 17216 = 8*g - 6*g, 0 = -n*g - 5*f + 34431. Is g a prime number?
True
Suppose w - 4*u - 2 = u, w = 4*u + 2. Let n be (-6)/((w/(-328))/((-6)/(-8))). Suppose -7*h + 3*h + n = 2*o, 4*o - 1520 = 3*h. Is o composite?
True
Suppose 5*i - 13*w - 316220 = -2*w, 0 = w + 5. Is i a composite number?
True
Suppose 0 = 5*y - 4*u - 7633, -5*u + 5225 = 5*y - 2390. Suppose 4*r = -3*f + y, 0 + 4 = r. Is f composite?
False
Is 36*6573 - (28 - 9) prime?
True
Let b(m) = -m**3 + 22*m**2 + 4. Let x be b(22). Suppose -64192 = -2*n + x*k - 8662, -5*n + 5*k = -138830. Is n a prime number?
True
Let l = -57142 + 112269. Is l composite?
False
Let j = 3917 - 1509. Let t = j - 91. Is t prime?
False
Let n be (0 - (-3)/3)/((-5960251)/331126 + 18). Let v be -10*(2391/2 + 1). Let x = n + v. Is x a composite number?
True
Suppose 6*d = -0*d + 12. Suppose -d*a = 5*u - a - 104, 4*u - 76 = a. Suppose 21*m - u*m = 19. Is m composite?
False
L
|
{
"pile_set_name": "DM Mathematics"
}
|
Express ((4*i + 0*i - 5*i)*(2 - 2 - 2) - 1 - i - 2 + 5)*(-20*i - 12*i + 6*i) as u*i**2 + g + f*i and give f.
-52
Rearrange 17*k + 2 - 38*k**4 + 27*k + 44*k**4 + 8*k - k**2 to b*k + z*k**3 + x*k**4 + r + d*k**2 and give d.
-1
Express -4321 - 4318 + 1493*j + 8639 as a*j + s and give a.
1493
Express -5*d + 6 + 9 - d + 7*d as s + m*d and give m.
1
Express -48 - 4*r + 9*r**2 + 2*r + r**3 + 49 as x + c*r + m*r**3 + w*r**2 and give m.
1
Express (-3 - 3 + 5)*(185 - 112*i**2 + 110*i**2 - 128) as f*i + k + v*i**2 and give v.
2
Rearrange 3 - 1150*i - 28 + 25 to k + p*i and give p.
-1150
Express 0*g**3 - 20*g**3 + 3 + 6*g**3 - 3*g - 3*g**3 as q*g**3 + d + p*g**2 + l*g and give l.
-3
Rearrange 2*b**3 - b + b + (-b + b**3 + b)*(2 - 5 + 2) + (-3*b**2 + 4*b**2 - 2*b**2)*(6*b + 4*b - 4*b) to the form u*b**2 + t + j*b**3 + z*b and give j.
-5
Rearrange (0*y + 0*y + 2*y)*(-3707 + 153*y + 3707) to the form t*y + f*y**2 + a and give f.
306
Rearrange (-t + 2*t - 6*t)*(-1 + 0 + 2) + 41 - 2*t + 9*t - 9*t to s + f*t and give f.
-7
Express (3*b**2 - 2*b**2 - 2*b**2 - 2*b)*(-6 + 86*b**2 - 52*b**2 + 5) as m*b**2 + h*b**4 + x*b + k*b**3 + r and give h.
-34
Rearrange -646 + 244 - 5*b + 147 + 43 to l + q*b and give q.
-5
Express (0 - 1 + 2)*(0 + 0 - 3*l) + 47 - 47 - 154*l in the form v*l + z and give v.
-157
Express (1434*u + 1116*u - 1947*u)*(u**3 + u**3 - 3*u**3) as c*u**2 + t*u**4 + p*u + q*u**3 + n and give t.
-603
Rearrange 48 + 70 - s**2 - 36 to the form f + p*s**2 + g*s and give f.
82
Rearrange (0*q + 2*q - 6*q)*(1 - 1 - 2) + (-2 + 2 - 2)*(3 + 7 - 17)*(2*q + 3*q - 3*q) to the form b + j*q and give j.
36
Rearrange (-a + 0 + 0)*(-3*a + a + 0*a) + 94280 - 94280 - 444*a**2 to the form y*a**2 + k*a + p and give y.
-442
Rearrange ((-13 - 16 - 59)*(-2*j + 2 - 2) + 3 - j - 3)*(0*j + 0*j - 2*j)*(0 + 1 + 0) to l*j**2 + b*j + y and give b.
0
Express 1 - 34*g**2 + 1 + 5 - 518*g**2 - 6 in the form m + j*g + o*g**2 and give m.
1
Rearrange (-2 + 0 + 0)*(5 + 8 + 4)*((3*t - 4*t + 2*t)*(4 - 6 + 4) + 4*t + 2*t - 4*t) to the form g*t + j and give g.
-136
Rearrange -2*c**3 + 84 + 2*c - 63 + 36 + 2*c**2 to d + z*c**2 + m*c + o*c**3 and give m.
2
Express -z**2 + 24*z + 2 + 3 - 1 - 3*z**3 - 5 as r*z + f + u*z**2 + i*z**3 and give i.
-3
Rearrange 0*w**2 + 19*w**2 + 8*w**2 + (-2 + 2*w + 2)*(1 - 1 + 2*w) + 3*w**2 + 3*w**2 - 4*w**2 + (2 - 2*w - 2)*(0 + 0 + 3*w) to g + x*w**2 + o*w and give x.
27
Express ((-3 - 2*a + 3)*(1 - 9 - 4) - 7*a + 3*a + 2*a + a - a - a + (-3 + 2 + 2)*(-1 + 1 - a) + 3*a - a + a)*(a - 7*a + 4*a) as o + j*a**2 + c*a and give j.
-46
Express k**4 + 2879*k - 13*k**2 + 3 - 2879*k in the form f*k + s*k**3 + n*k**2 + t*k**4 + j and give j.
3
Express 0*y**3 - 73*y - 3*y**3 + 4*y**3 + 4*y**3 - 6*y**3 as d*y**3 + u*y + f + a*y**2 and give d.
-1
Express -206*p**2 - 13*p**2 - 129*p**2 - 182*p**2 in the form k*p + b + q*p**2 and give q.
-530
Rearrange 11*z + 1 + 1529*z**2 - 1526*z**2 + 13*z**3 + z**4 - 10*z to the form b*z**4 + k*z**3 + j*z + s*z**2 + d and give s.
3
Express -27*u**2 + 125*u**2 + 130*u**2 as j + z*u + w*u**2 and give z.
0
Rearrange (z**2 - 3*z**2 + 3*z**2)*(-3*z + 3*z - z) + (2 + z + 0 - 2*z)*(7*z**2 - 3*z**2 - 9*z**2) to the form w + r*z**2 + j*z + u*z**3 and give u.
4
Express (0*u - u - u)*(-394*u + 951*u - 367*u - 2 + 2 + u + (3*u - u - u)*(-3 - 2 + 3) + u - 2*u - 3*u) in the form y*u**2 + a*u + b and give a.
0
Express -q**3 + 3 - 34*q**2 - 6*q + 70*q**2 - 2*q**4 + 6*q in the form r + d*q + i*q**3 + s*q**2 + h*q**4 and give r.
3
Express 8*o - 66*o + 3*o**2 - 5*o**2 + o**2 in the form w*o + a + j*o**2 and give w.
-58
Rearrange -18*v**2 + v**4 - v + 26*v**2 - 8*v**2 - 4*v**3 + 7*v to c*v**3 + n + m*v**2 + y*v + u*v**4 and give y.
6
Rearrange -1306*l**2 - 1338*l**2 + 2602*l**2 to n*l**2 + d + f*l and give n.
-42
Express -61*c**3 + 5*c + 0*c - c + 111 - 113 as a + q*c**2 + o*c**3 + g*c and give a.
-2
Rearrange ((2 - 2 + 3*v)*(-1 - 2 + 0) + 77 + 14*v - 77)*(2*v**2 + 2*v**2 - 3*v**2) to the form r*v**2 + c*v**3 + t*v + f and give c.
5
Express (2 + 3 - 4)*(-6*t**3 + 5*t**3 - 3*t**3) + t**3 + 8 - 8 + (-2*t**3 - 2*t**2 + 2*t**2)*(-4 + 0 + 3) in the form q*t**2 + m + g*t + y*t**3 and give m.
0
Express 12*w**4 - 397*w**2 + w**3 + w + 373*w**2 - 3*w**3 as q*w**2 + b*w + u*w**4 + g + v*w**3 and give u.
12
Express 5*i**4 + 19 - 2*i**4 - 4*i**4 - 7 - 27*i**2 + 28*i**2 as s*i**2 + m*i**3 + y + f*i**4 + p*i and give f.
-1
Rearrange 3*k**2 - 3*k**2 - k**2 + (-k**2 + 2 - 2)*(2 + 3 - 4) + (-2795*k - 2798*k + 880*k**2 + 5593*k)*(1 + 0 - 2) to the form n*k + h + f*k**2 and give f.
-882
Express (-7*n**3 + 3 + 1 - 1)*(13*n + n - 4*n)*(-4 + 1 + 6) in the form d + a*n**3 + m*n**2 + h*n + q*n**4 and give q.
-210
Rearrange 3*h**3 + h**2 - 2*h - 20*h**3 + 8*h - h**3 to a*h**2 + x + s*h**3 + l*h and give s.
-18
Express 517*v - 1705*v + 497*v in the form t + z*v and give z.
-691
Express -3 - 25*z**2 + 13*z**2 - 2*z**4 + 21*z**3 - 19*z**3 - 1 + 2 as o*z**3 + v*z + w*z**4 + x + g*z**2 and give o.
2
Rearrange 30*f - 15*f - 15*f - 4 - 10*f - 13 to d*f + k and give k.
-17
Rearrange 191*j - 385*j + 19*j**2 + 195*j to h*j + z*j**2 + p and give h.
1
Express -8*u + 360 - 123 - u**2 - 125 - 120 in the form x + r*u + t*u**2 and give r.
-8
Express (2 - 6 + 3)*(0*r + 6*r + 3*r)*(-5 + 4 - 1)*(-12 - 36 - 36) + (-2*r + 4 - 4)*(0 + 4 - 3) - 2*r + r - r + 0*r + r + 0*r as i + g*r and give g.
-1515
Express 3278 + 1459*t - 3278 as k + u*t and give u.
1459
Express -391*z**3 - 458*z**3 + 223*z**3 + 5 - 3 as c*z**2 + j*z + m + b*z**3 and give b.
-626
Rearrange (20 + 32 + 3)*(z - 6*z + z + (-2*z - 3*z + 3*z)*(1 + 2 - 2)) to the form t*z + i and give t.
-330
Rearrange -879*l**3 + 1 - l + 442*l**3 + 13*l**2 + 436*l**3 to the form m + r*l**3 + g*l**2 + z*l and give m.
1
Rearrange 39*t + 0*t + 32*t**3 - 33*t to x*t**2 + r + i*t**3 + f*t and give f.
6
Rearrange 23*f**2 - 6*f - 1 + 5*f - 2*f + 2*f**3 + 3*f to the form n + j*f**3 + w*f + a*f**2 and give j.
2
Express 20*m**2 - 25 - 167*m + 28 + 166*m as w*m + s + n*m**2 and give s.
3
Express (-1 + 3 - 1)*(2 + 3 - 3)*(41*m + 206*m + 462*m) as a*m + x and give x.
0
Rearrange (-5*z**2 + 3*z**3 + 5*z**2 + (2 + 0 - 1)*(z - z + 2*z**3))*(18 + 14 - 2) to the form c*z + b*z**2 + r*z**3 + i and give c.
0
Rearrange -65*f**4 + 117*f - 117*f + (2*f**2 - f + f)*(-2*f**2 + f**2 - f**2) to q*f**3 + y*f**4 + s*f**2 + t + k*f and give y.
-69
Express (-44 - 20 + 28 - 21 - 70)*(-14*r - 7*r + 18*r) in the form b + y*r and give y.
381
Rearrange -y**2 - 30 - 111*y - 39 + 2*y**3 + 69 to the form d*y**3 + c + k*y + b*y**2 and give d.
2
Rearrange (-1 + 4 - 4)*(-h + 5*h - 2450*h**2 + 37 + 2452*h**2) to n*h + l*h**2 + o and give o.
-37
Express -8*a - 4*a - 53*a**2 + a + 14*a + 0*a in the form r*a + y + p*a**2 and give r.
3
Express -10*f**2 + 11*f + 30*f**2 - 9*f in the form b + k*f**2 + n*f and give n.
2
Rearrange -3*m + 0*m - 43 + 86 to h*m + p and give p.
43
Express 2*n - 2*n + 53*n**2 + 313*n**2 in the form c*n**2 + j*n + p and give c.
366
Rearrange -o**3 + 15606*o**2 + 3*o**3 + o**4 - 15605*o**2 + 6*o - 2 to l*o + d*o**2 + j + a*o**3 + x*o**4 and give j.
-2
Express q + 11*q**2 - 5*q - 659 + 661 as k + j*q**2 + l*q and give l.
-4
Express -5*x + 3*x + 3 - 10 - 12 - 2*x**2 as t*x**2 + a + i*x and give t.
-2
Rearrange (-47 + 74 + 85)*(2 - 1 - 2)*(5*g - g - 3*g) to the form x + i*g and give i.
-112
Rearrange (-2 + 3 + 1)*(-16 + 3 - 23)*(2 - 4 - 2*h + h + (4 - 2*h - 4)*(1 - 3 + 1)) to p*h + z and give p.
-72
Express (-713 + 257 + 233)*(-3*x**2 - 3*x**4 + 3*x**2) in the form w + d*x + o*x**2 + n*x**4 + a*x**3 and give n.
669
Rearrange (-76564 + 597*m + 76564)*(m - 2*m + 2*m)*(-1 + 2 - 3) to the form c*m + i*m**2 + o and give i.
-1194
Express 120*p - 2*p**3 + p**3 - 43*p**2 - 119*p in the form j*p + l*p**2 + f + a*p**3 and give l.
-43
Express (0 + 4 + 2)*(c - 3*c + 0*c)*(-17*c**3 - 2*c**3 - 4*c**3) as p + z*c**4 + u*c + r*c**3 + m*c**2 and give z.
276
Rearrange (8 - 4*l - 8)*(7 + 4*l - 7) + (0 + 0 - l)*(-5 - 2*l + 5) - 7*l + 7*l + 5*l**2 + 146 - 37*l**2 - 146 to the form k + w*l**2 + a*l and give k.
0
Rearrange (2*f**2 - 3*f**2 - f**2)*(-3*f**2 + 2*f**2 - 18 + 22) + 4*f**4 - f**4 - f**4 to the form m*f + v + x*f**2 + b*f**4 + r*f**3 and give r.
0
Express 770 - 1537 - 18*b**2 + 766 + 25*b in the form v*b
|
{
"pile_set_name": "DM Mathematics"
}
|
base 8, what is 0 + -30?
-30
In base 16, what is -8 - -1d?
15
In base 16, what is -4 + -33?
-37
In base 10, what is -18 - 7?
-25
In base 10, what is 2 - 386?
-384
In base 4, what is 1 - 203?
-202
In base 11, what is -52 + -2?
-54
In base 2, what is -10 - 110100011001?
-110100011011
In base 8, what is 225 + -15?
210
In base 4, what is 3031 + 13?
3110
In base 9, what is 78 + -5?
73
In base 12, what is -1 - -196?
195
In base 10, what is -2 + -80?
-82
In base 4, what is -112 - 131?
-303
In base 10, what is 5 + 627?
632
In base 9, what is 63 - 24?
38
In base 16, what is -1d + 5?
-18
In base 11, what is -a - 304?
-313
In base 11, what is -1a5 - -1?
-1a4
In base 9, what is 353 - 5?
347
In base 5, what is -412 - -3?
-404
In base 6, what is -2142 - -4?
-2134
In base 6, what is 4 + -1252?
-1244
In base 7, what is 116 - 43?
43
In base 10, what is 0 - 543?
-543
In base 3, what is -21 + -1020100?
-1020121
In base 8, what is -1667 + 1?
-1666
In base 10, what is -42 - 42?
-84
In base 7, what is 1366 + 5?
1404
In base 15, what is 1 + -1?
0
In base 5, what is -2100 + 3?
-2042
In base 16, what is b - -6?
11
In base 13, what is 5 - 198?
-193
In base 14, what is -37 - 156?
-18d
In base 11, what is -90 - -4?
-87
In base 5, what is 2 - 20203?
-20201
In base 5, what is 1 - 131?
-130
In base 8, what is 6 + -5627?
-5621
In base 9, what is 2 - 102?
-100
In base 2, what is 110 + 1000111?
1001101
In base 14, what is 40 - -8?
48
In base 8, what is -10 + -262?
-272
In base 4, what is 2 + 303103?
303111
In base 15, what is -7 + -12d?
-135
In base 15, what is 0 + 18d?
18d
In base 4, what is 113103 + 10?
113113
In base 9, what is 121 + -2?
118
In base 13, what is -3 + -3?
-6
In base 10, what is -401 - -4?
-397
In base 9, what is 78 - 8?
70
In base 2, what is 10 + 1000010?
1000100
In base 3, what is 1 + -10?
-2
In base 15, what is -145 + -1?
-146
In base 4, what is -132 + 32?
-100
In base 3, what is -10 - 2200?
-2210
In base 13, what is -1 - -1025?
1024
In base 14, what is 8 - 7?
1
In base 10, what is 99 + 4?
103
In base 2, what is -100 - -110111101000?
110111100100
In base 5, what is 2440 + -3?
2432
In base 13, what is 8a0 + 4?
8a4
In base 3, what is 10 + 1210?
1220
In base 4, what is 21222 - -10?
21232
In base 6, what is 33535 - 4?
33531
In base 3, what is -120 - 0?
-120
In base 11, what is 9 - 359?
-350
In base 10, what is 3 + -7?
-4
In base 8, what is -3072 - -1?
-3071
In base 9, what is 1 - 1165?
-1164
In base 12, what is 0 + 5?
5
In base 15, what is -1 + 2c8?
2c7
In base 2, what is 10 - -1001111?
1010001
In base 10, what is -25 + -136?
-161
In base 8, what is 132 - -1?
133
In base 2, what is 1 + 1101100010?
1101100011
In base 15, what is -6b - 1?
-6c
In base 8, what is -4 - -427?
423
In base 9, what is -2686 - 3?
-2700
In base 5, what is -341 - -4?
-332
In base 9, what is -444 - 5?
-450
In base 3, what is -1 - 1021010?
-1021011
In base 15, what is bc + 1?
bd
In base 12, what is -3 + 56?
53
In base 6, what is 35151 - 3?
35144
In base 16, what is d4f - 2?
d4d
In base 16, what is 331 - 27?
30a
In base 7, what is -215 + -2?
-220
In base 6, what is 22 - 4?
14
In base 11, what is 5 + 45?
4a
In base 13, what is 15 - 8c?
-77
In base 2, what is 100100 + -10111011?
-10010111
In base 9, what is -58 - 65?
-134
In base 3, what is -2 + -20002?
-20011
In base 5, what is -4 - 2022?
-2031
In base 10, what is 9 - 422?
-413
In base 8, what is 3 + 110?
113
In base 9, what is 1 - -282?
283
In base 7, what is 2661 - 0?
2661
In base 14, what is -a - -53?
47
In base 13, what is -2c + -1c?
-4b
In base 11, what is 4 - -112a?
1133
In base 12, what is 5 + 1350?
1355
In base 13, what is 0 + -88?
-88
In base 6, what is -34 - 3?
-41
In base 10, what is -10 + 55?
45
In base 9, what is 27 - -102?
130
In base 14, what is 4 - 5?
-1
In base 13, what is 16 + 2?
18
In base 14, what is -5da - -b?
-5cd
In base 3, what is 1200 + -20101?
-11201
In base 14, what is 361 - 5?
35a
In base 11, what is -24 - 4?
-28
In base 11, what is -3 - 251?
-254
In base 11, what is 6 - 8?
-2
In base 2, what is 1100111 + 10?
1101001
In base 3, what is 102100 + 200?
110000
In base 4, what is -3110232 - 11?
-3110303
In base 6, what is 3 - -102?
105
In base 4, what is -10 - 212?
-222
In base 4, what is -1020310 + 3?
-1020301
In base 16, what is 341 + -3?
33e
In base 2, what is 10 - 10100001111?
-10100001101
In base 3, what is 10222 + 1?
11000
In base 4, what is -3120 - 1?
-3121
In base 10, what is 5 - -9?
14
In base 4, what is 10 + 201200?
201210
In base 13, what is 3 - 26?
-23
In base 9, what is -5 + -58?
-64
In base 11, what is 320 - -3?
323
In base 2, what is -111110100 - 1101?
-1000000001
In base 13, what is 5 + 533?
538
In base 9, what is -515 + 2?
-513
In base 7, what is -1046 - 3?
-1052
In base 6, what is -104 + 5?
-55
In base 5, what is -30 + -103?
-133
In base 4, what is 20131 + 10?
20201
In base 6, what is -2 + 41225?
41223
In base 14, what is -10d + 3?
-10a
In base 16, what is 3 + 1c?
1f
In base 2, what is -101 - 1111010100100?
-1111010101001
In base 14, what is b + 9d?
aa
In base 6, what is 1543 - 0?
1543
In base 9, what is -65 + -15?
-81
In base 5, what is -42 + -32?
-124
In base 8, what is -2 - -57?
55
In base 9, what is 508 - 1?
507
In base 14, what is -19 - 18d?
-1a8
In base 6, what is 34 - 124?
-50
In base 2, what is 1110010 - -110101?
10100111
In base 9, what is 78 + -4?
74
In base 14, what is 264 - 5?
25d
In base 10, what is -4 - 206?
-210
In base 4, what is -11 - 1132?
-1203
In base 13, what is -1a7 + -3?
-1aa
In base 5, what is 4 + -41011?
-41002
In base 8, what is 1370 + 5?
1375
In base 7, what is 2 + 53?
55
In base 10, what is -462 + -3?
-465
In base 16, what is -a + -2ff?
-309
In base 10, what is -6 - -124?
118
In base 14, what is -21 + 6?
-19
In base 15, what is 172 + -4?
16d
In base 10, what is 169 + -8?
161
In base 9, what is 363 - -16?
380
In base 16, what is 2 - -83?
85
In base 14, what is -5 + 254?
24d
In base 11, what is -9 + -1?
-a
In base 9, what is -1010 + -11?
-1021
In base 11, what is 6524 + 3?
6527
In base 12, what is -4 - 13?
-17
In base 3, what is -1102022 + -12?
-1102111
In base 4, what is 220131 + -3?
220122
In base 12, what is -329 + 10?
-319
In base 9, what is 5 + 65?
71
In base 15, what is 1 + c3?
c4
In base 5, what is 12 + 20?
32
In base 9, what is 6 + 58?
65
In base 8, what is -14 - -10?
-4
In base 14, what is -19 + -1b?
-36
In base 4, what is -11 + -22232?
-22303
In base 15, what is 3d57 + 2?
3d59
In base 7, what is 51 - 225?
-144
In base 9, what is 0 - -31?
31
In base 13, what is -18 + 18?
0
In base 4, what is -10111 + 11?
-10100
In base 14, what is 4 + -118?
-114
In base 12, what is 9 + -1b7?
-1aa
In base 3, what is 2 - -10111?
10120
In base 3, what is -12201222 - 1?
-12202000
In base 13, what is 2 + -92?
-90
In base 14, what is -17 + -5c?
-75
In base 4, what is -22 - 1011?
-1033
In base 12, what is -12 - 14?
-26
In base 7, what is 5 + -415?
-410
In base 8, what is -1 - -11?
10
In base 16, what is 1 - 123?
-122
In base 6, what is 10 + 125?
135
In base 12, what is -7a94 + 2?
-7a92
In base 14, what is 5 + 1a?
21
In base 3, what is -2000 - 10?
-2010
In base 6, what is 4 - -1030?
1034
In base 8, what is -22 - 35?
-57
In base 8, what is -24 - -4?
-20
In base 16, what is -121 - -2?
-11f
In base 6, what is 4 + 54?
102
In base 16, what is -89 - -2?
-87
In base 9, what is -5 - 2016?
-2022
In base 10, what is -189 + -4?
-193
In base 14, what is 13 + 0?
13
In base 6, what is -2 - -145?
143
In base 13, what is -9 + -12?
-1b
In base 2, what is -1 + -11001110?
-11001111
In base 15, what is c2a - 5?
c25
In base 12, what is 966 + -2?
964
In base 13, what is 3b66 + 0?
3b66
In base 6, what is -405 + -12?
-421
In base 10, what is 25 - -71?
96
In base 8, what is -4 - 1551?
-1555
In base 12, what is -8b + 0?
-8b
In base 15, what is 21 + -1?
20
In base 2, what is 110100 - -10010001?
11000101
In base 2, what is -11010 - 101001?
-1000011
In base 8, what is 0 - -12?
12
In base 14, what is 3 - 4b?
-48
In base 5, what is 412 - -10?
422
In base 6, what is -1 - -113?
112
In base 7, what is 134446 - -1?
134450
In base 6, what is -3214 - 5?
-3223
In base 6, what is 53 + 44?
141
In base 16, what is -2 - -1f?
1d
In base 10, what is -594 + -21?
-615
In base 11, what is 4 - -238?
241
In base 10, what is 578 - 13?
5
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 349*h**q - 15*h + 3. What is f(y(u))?
-5*u**2 - 15*u
Let p(m) = 10*m**2. Let j(g) = -2411837*g. Give j(p(b)).
-24118370*b**2
Let w(v) be the second derivative of 1/6*v**3 + 0 - 20*v + 0*v**2. Let g(y) = -y - 5*y + y. Calculate w(g(q)).
-5*q
Let d(t) = -1807*t**2. Let h(y) be the second derivative of -y**3/2 - 313*y + 2. Give d(h(o)).
-16263*o**2
Let r(d) = 19*d - 7. Let c(z) = 225170*z. Determine r(c(m)).
4278230*m - 7
Let z(c) = -19*c**2 - 61*c + 21. Let j(h) = 135*h. Calculate z(j(n)).
-346275*n**2 - 8235*n + 21
Let y(b) be the second derivative of -b**4/6 + 17*b. Let q(n) be the first derivative of -5 + 13/2*n**2 + 0*n. What is q(y(d))?
-26*d**2
Let t(g) be the first derivative of 13*g**4/24 - 7*g**2/2 + 66. Let r(w) be the second derivative of t(w). Let f(q) = 4*q**2. Give f(r(k)).
676*k**2
Let c(q) be the second derivative of -q**5/30 + 82*q**2 + 8*q + 7. Let i(m) be the first derivative of c(m). Let z(a) = -2*a + 2. Give i(z(o)).
-8*o**2 + 16*o - 8
Let j(i) = 5*i**2. Let o(x) be the first derivative of x**5/40 + x**4/8 + x**3 - 8*x**2 + 28. Let m(k) be the third derivative of o(k). Give j(m(u)).
45*u**2 + 90*u + 45
Let l(s) = -28*s**2. Let i be (17/4)/1 + (-3)/12. Let b(t) = 2*t - 2*t + i*t**2. What is l(b(x))?
-448*x**4
Let a(d) = -d - 8. Let p(g) = -7*g**2 + 5*g + 5. Let l(y) = -22*y**2 + 222 - 206 + 15*y + y. Let x(q) = 5*l(q) - 16*p(q). Determine a(x(b)).
-2*b**2 - 8
Let b(r) = r**2. Let g be 24/(-16) + 2/4. Let i(d) = -2*d. Let f(v) = 7*v. Let s(h) = g*f(h) - 4*i(h). What is s(b(c))?
c**2
Let n(m) = m**2 + 9*m - 12. Let x be n(-8). Let r be 5/2*-8*2/x. Let w(d) = -r*d + 5*d - 2*d. Let c(i) = -13*i - 1. Calculate c(w(p)).
-13*p - 1
Let c(x) = -8*x - 19509. Let p(i) = 15*i. Calculate p(c(d)).
-120*d - 292635
Let n(z) = -34727*z. Let t(l) = -5*l**2 + 256. What is n(t(c))?
173635*c**2 - 8890112
Suppose -q - 2*q + 2*z = -256, -z = 3*q - 259. Let s(j) = -81*j**2 + 164*j**2 - q*j**2. Let o(h) = -2*h**2 + 2*h. What is o(s(g))?
-18*g**4 - 6*g**2
Let p(k) = -13*k**2 - 625*k + 15. Let d(i) = 6*i**2 + 250*i - 6. Let l(a) = 5*d(a) + 2*p(a). Let u(j) = 5*j - 8*j - 6*j. What is u(l(w))?
-36*w**2
Let p(w) = -79*w + 234*w - 82*w - 63*w. Let g(k) = 2*k**2 - 7*k. What is p(g(j))?
20*j**2 - 70*j
Let k(l) = -2*l**2 - 178. Let h(n) = -4*n**2 - 6*n + 2. Let u(o) = -5*o**2 - 9*o + 3. Let w(t) = 3*h(t) - 2*u(t). What is w(k(b))?
-8*b**4 - 1424*b**2 - 63368
Let z(u) = 57*u**2 - 22*u**2 + 12*u**2 + 7*u**2 + 67*u**2. Let n(p) = -29*p. Give z(n(x)).
101761*x**2
Let a(n) = 7*n. Let w(x) be the first derivative of x**3 + 3*x - 4*x - 28159 + 28276 + x. Determine a(w(j)).
21*j**2
Let v(k) be the third derivative of -39*k**4/8 + 1034*k**2. Let c(j) = -4*j. What is c(v(m))?
468*m
Let s(i) = -293338*i. Let r(g) = -g**2. Give s(r(v)).
293338*v**2
Suppose -2*u + q = 5*q - 44, -4*q + 80 = 5*u. Suppose 4 - u = -z. Let o(c) = z*c - 4*c - 4*c - 5*c. Let l(h) = -5*h**2. Determine l(o(g)).
-125*g**2
Let s(l) = -67 + 28 - 7*l + 38. Let k(x) = -3*x + 1. Let y(v) = -2*k(v) + s(v). Let p(j) = 5*j. Give p(y(c)).
-5*c - 15
Let i(p) be the first derivative of -p**5/60 - 5*p**3/3 - 3. Let j(t) be the third derivative of i(t). Let y(g) = 0 + 560*g + 0 - 557*g. Calculate y(j(s)).
-6*s
Let a(k) = -15*k - 53. Let p(m) = -53638*m. What is p(a(x))?
804570*x + 2842814
Let n(v) = -81*v - 3*v - 31*v - 101*v - 16*v. Let j(i) = i. Determine j(n(k)).
-232*k
Let x(j) be the third derivative of 37*j**5/60 + 1162*j**2. Let o(p) = -2*p - 4. Calculate x(o(v)).
148*v**2 + 592*v + 592
Let z(a) = 5*a**2. Let b(m) = -121*m + 51. Let i(j) = 3*j - 24. Let f(r) = -b(r) - 2*i(r). Calculate z(f(y)).
66125*y**2 - 3450*y + 45
Let m(s) = 2 - 4*s**2 - 24 + 2*s**2. Let x(f) = -1596769*f + 1596769*f + 3*f**2. Determine x(m(g)).
12*g**4 + 264*g**2 + 1452
Let g(k) = -5*k. Let x(f) be the third derivative of 13*f**4/24 + f**3 - 89*f**2 + f. Let v(w) = 3. Let m(h) = 2*v(h) - x(h). What is m(g(n))?
65*n
Suppose 4*i + 32 = -0*i. Let m(a) = 14*a - 16. Let h(w) = 41*w - 1016 + 509 - 46*w + 513. Let v(f) = i*h(f) - 3*m(f). Let d(n) = 7*n. Give v(d(q)).
-14*q
Let x(g) = 68*g**2 - 71*g**2 - 11 + 11 + 18. Let i(l) be the first derivative of l**3 - 5. Calculate i(x(o)).
27*o**4 - 324*o**2 + 972
Let b(y) = -9*y. Let u be (-4)/(-22) + -48*(-4)/33. Let a(c) = u + 10*c - 15 + 9. Determine b(a(w)).
-90*w
Let z(q) = 12589848*q. Let g(k) = -8*k**2. Determine g(z(d)).
-1268034181304832*d**2
Let b(a) = 408*a**2. Let w(h) = 274*h. Let l(k) = 83*k. Let x(y) = 20*l(y) - 6*w(y). What is x(b(z))?
6528*z**2
Let i(z) be the third derivative of -z**5/30 - 832*z**3/3 + z**2 + 762*z. Let q(f) = 2*f**2. Calculate i(q(d)).
-8*d**4 - 1664
Let a(d) = 4*d. Let k(h) = 7064245*h. Give a(k(l)).
28256980*l
Let z(n) = 3*n**3 - 4*n**2 - n + 2. Let k be z(3). Let c(x) be the first derivative of 0*x**2 - 39 - x**2 + k + 27. Let w(m) = 43*m. Give w(c(f)).
-86*f
Let p(u) be the second derivative of 23*u**5/30 + 14*u**2 - 64*u. Let s(d) be the first derivative of p(d). Let j(c) = 2*c**2. Calculate s(j(a)).
184*a**4
Let y(p) = 5*p - 30. Let s(c) = -3*c + 20. Let m(n) = -3*s(n) - 2*y(n). Let b(q) = 2*q**2 - 195*q. Determine b(m(a)).
2*a**2 + 195*a
Let b(n) be the first derivative of 2*n**3/3 - 20307. Let g(m) = 5*m**2 + m. Let y(j) = j**2. Let s(p) = g(p) - 4*y(p). What is b(s(t))?
2*t**4 + 4*t**3 + 2*t**2
Let s(r) = 14*r - 28. Let t(o) = -7*o + 12. Let m(g) = -3*s(g) - 7*t(g). Let b(l) = 70*l + 17. Let z be b(6). Let k(x) = -2*x - 437 + z. Determine m(k(q)).
-14*q
Let m(s) = 90*s - 31*s - 33*s - 25*s. Let j(i) = -1769*i. Calculate m(j(n)).
-1769*n
Let o(n) be the first derivative of -n**5/60 - 53*n**3/3 + 127. Let r(f) be the third derivative of o(f). Let a(c) = -c**2 + 2. Calculate a(r(p)).
-4*p**2 + 2
Let u(f) be the first derivative of 29*f**3/3 - 2065. Let c(q) = 73*q**2. Give c(u(o)).
61393*o**4
Let y(h) = -3*h - 90989. Let p(k) = 12*k**2. What is y(p(q))?
-36*q**2 - 90989
Let i(y) = 3*y**2. Let a be -2*(-5)/(20/18). Suppose 3*x = 3*v + 5*x - 63, -5*x - 63 = -3*v. Let b(g) = 38 + a*g - v - 17. What is i(b(f))?
243*f**2
Let a(i) = 31*i**2 + 5*i + 5. Let b(h) = -75*h**2 - 12*h - 12. Let y(z) = -12*a(z) - 5*b(z). Let j(u) = -u - 55. Determine y(j(w)).
3*w**2 + 330*w + 9075
Let x(l) = -11086*l. Let j(f) = 12074*f**2. What is x(j(u))?
-133852364*u**2
Let h = -7817 - -7827. Let s(f) be the first derivative of -8/3*f**3 + 0*f - h + 0*f**2. Let d(c) = -3*c. Give d(s(m)).
24*m**2
Suppose 1197 = 6*z - 2037. Let n = -285 + z. Let y(o) = -30*o**2 + n - 254. Let i(u) = 2*u. Calculate i(y(p)).
-60*p**2
Let w(o) = -2*o. Let u(y) = -y - 432979. Give u(w(c)).
2*c - 432979
Let t(j) = 38*j**2. Let v be ((-79)/6 - -14)*(-4)/(-100). Let p(b) be the third derivative of 0*b**3 + 0*b + 0*b**4 - v*b**5 + 0 - 6*b**2. Determine p(t(f)).
-2888*f**4
Let h(f) be the second derivative of -1075*f**3/2 + 8664*f. Let a(i) = -2*i. Calculate h(a(g)).
6450*g
Let u(s) = -2*s**2 - 31172*s. Let o(m) = 767*m. Determine o(u(h)).
-1534*h**2 - 23908924*h
Let n(u) = 0 + 7*u + 0. Let o be 1569/(-2)*(-14)/21. Let m(g) = o*g - 2 - 524*g + 2. Give m(n(f)).
-7*f
Let j(k) be the second derivative of 49*k**4/12 - k**3/3 + 2*k + 75. Let q(c) = 6*c. Determine j(q(x)).
1764*x**2 - 12*x
Let c(s) = -2*s**2 + 34*s + 20. Let r(d) = -788*d**2 - 797*d**2 - 797*d**2 + 2381*d**2. Calculate c(r(j)).
-2*j**4 - 34*j**2 + 20
Let f(u) = -6*u. Let t(b) be the first derivative of -5*b**2 + 25*b - 4403. What is f(t(p))?
60*p - 150
Let j(y) = 3*y**2 + 2*y - 12. Let a(h) = -13*h**2 - 9*h + 52. Let d(r) = -2*a(r) - 9*j(r). Let f(u) = 29*u**2. What is d(f(g))?
-841*g**4 + 4
Let t(q) = -13*q**2 - 12. Let u(o) = -4*o + 8. Let z(x) = x - 1. Let l(w) = -u(w) - 8*z(w). Determine t(l(i)).
-208*i**2 - 12
Let a(x) = -1986693*x. Let y(i) = 6*i**2 + 9*i. Give a(y(v)).
-11920158*v**2 - 17880237*v
Let z(x) = 301*x - 596*x + 301*x. Let w(c) = 11*c + 11. Calculate z(w(b)).
66*b + 66
Let s(n) = 22*n + 10. Let a(h) = -41*h + 34*h + 17 + 12*h + 36*h + 4*h. Let r(d) = 3*a(d) - 5*s(d). Let z(p) = p**2. Give z(r(b)).
625*b**2 + 50*b + 1
Let o(d) = -5*d + 18. Let t(x) = -96*x**2 + 294*x - 42. Let y(j) = 2*j**2 - 7*j + 1. Let w(h) = -2*t(h) - 84*y(h). What is o(w(g))?
-120*g**2 + 18
Let v(u) = 14*u**2. Let h(d) = 35*d - 5. Let q(l) = 36*l - 6. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
y) = -6*y**4 - 175*y**3 - 2*y**2 + 358. Let r(n) = -5*n**4 - 177*n**3 - 2*n**2 + 358. Let a(b) = 4*k(b) - 5*r(b). Find the third derivative of a(l) wrt l.
24*l + 1110
Differentiate -17*o**2 - 14*o - 62*o**2 + 79*o**2 - 328 - 36*o**3 with respect to o.
-108*o**2 - 14
Let a(v) = 2*v - 31. Let d be a(15). Let i(l) = l + 4. Let y be i(d). Differentiate -76*n**y - 5 + 1 + 98*n**3 with respect to n.
66*n**2
Let z(n) = 2*n**3 - 6*n**2 + 3*n + 6. Let y be z(4). Suppose c + y = 64. Find the second derivative of -c*i**2 + 3*i - 13*i - 7*i - 3*i wrt i.
-28
Let q(o) be the first derivative of -2731*o**6/3 - 252*o**3 + 3108. Find the third derivative of q(v) wrt v.
-327720*v**2
Let o = 51 + -33. Let d be ((-204)/o)/((-4)/18). What is the second derivative of 3*w**4 - 51*w**2 + d*w**2 + 12*w wrt w?
36*w**2
Suppose 2*o = 2*u + 8, 6*u = -3*o + 4*u + 12. Let n be (-30)/o*2/(-3). What is the third derivative of 0*r**4 + 0*r**4 + 2*r**4 - n*r**2 wrt r?
48*r
Let k(h) = 1509*h**2 - h + 122. Let n(o) = -1510*o**2 + o - 124. Let g(j) = 6*k(j) + 5*n(j). Find the second derivative of g(w) wrt w.
3008
Let b(o) be the third derivative of -191/120*o**6 + 0*o**5 + 0 - 191*o**2 + 0*o**4 + 0*o - 55/2*o**3. What is the derivative of b(r) wrt r?
-573*r**2
Find the second derivative of 845*c + 6*c**3 - 35*c**3 + 2*c**2 - 8*c**2 - 16*c**3 + 4*c**3 wrt c.
-246*c - 12
Let m = 54 + -77. Let r = 25 + m. What is the third derivative of -4*j + 4*j + 13*j**r - 100*j**5 + 90*j**5 wrt j?
-600*j**2
Let a(o) be the second derivative of -3*o**6/10 - 33*o**5/20 - 119*o**4/3 + 1867*o. Find the third derivative of a(g) wrt g.
-216*g - 198
Suppose -5*r + 5*q + 226 = 46, 173 = 5*r + 2*q. What is the third derivative of -d + r*d**2 + 2260*d**6 - 2311*d**6 + 0*d wrt d?
-6120*d**3
Let s(q) = 2*q**3 - 16*q**2 + 11*q + 24. Let h be s(7). What is the second derivative of 9*x**3 - 112*x**2 - 2*x**h + 102*x**2 - 9*x - 9*x wrt x?
42*x - 20
Let z(o) = -253*o**2 + 8*o + 11478. Let y(i) = -127*i**2 + 4*i + 5735. Let p(t) = 26*y(t) - 12*z(t). Find the first derivative of p(q) wrt q.
-532*q + 8
Differentiate 12*y**2 - 21*y**2 - 9*y**2 - 87*y**3 + 5370 - 24*y**2 wrt y.
-261*y**2 - 84*y
Let u = 18024 + -9545. Find the second derivative of -124*r + u*r**2 - 8479*r**2 + 38*r**5 wrt r.
760*r**3
Let a(g) be the first derivative of -7652*g**5/5 + 29*g**3/3 + 3*g**2/2 - 7*g - 5471. What is the third derivative of a(l) wrt l?
-183648*l
Let l(r) be the first derivative of 173*r**7/7 - 229*r**3/3 + 2*r - 579. What is the third derivative of l(o) wrt o?
20760*o**3
Let x be 42/105*(-175)/(-60). Let b(y) be the second derivative of 0*y**3 + 0 + 12*y**2 - x*y**4 + 34*y. What is the first derivative of b(g) wrt g?
-28*g
Let o(u) = 3389*u**3 - 5*u**2 - 484*u + 4. Let d(t) = t**2 + t. Let a(k) = -5*d(k) - o(k). What is the second derivative of a(y) wrt y?
-20334*y
Let n(z) be the first derivative of 209*z + 0*z**2 - 116/3*z**3 - 138. Differentiate n(a) with respect to a.
-232*a
Let l(i) be the second derivative of 0*i**2 - 7*i + 2 - 61/2*i**3 - 47/12*i**4. What is the second derivative of l(q) wrt q?
-94
What is the second derivative of 15674 - 31484 + 15622 + 33*n**4 + 2*n wrt n?
396*n**2
Let o = -20 - 0. Let w = -18 - o. What is the second derivative of 3*n**w + 24*n - 20*n + 9*n wrt n?
6
Let m(w) be the third derivative of -1347*w**8/112 - w**5/20 + 19*w**4/12 - w**3/3 + 2*w**2 - 2206. Find the third derivative of m(v) wrt v.
-242460*v**2
Let s(q) = 21*q - 143. Let l be s(7). What is the third derivative of -43*v**2 - 2*v**5 + 16*v**l + 1798*v - 1798*v wrt v?
-120*v**2 + 384*v
Find the second derivative of -26586*x**2 + 9 + 3 + 14 + 30282*x**2 - 7 - 46*x wrt x.
7392
Let j(b) = -596*b**2 + 10*b - 4262. Let f(k) = k**2 + 2*k + 3. Let v(d) = -5*f(d) + j(d). Find the first derivative of v(g) wrt g.
-1202*g
Let c(a) be the second derivative of 88*a**5/5 - a**3/6 - 294*a**2 - 23*a - 1. Find the first derivative of c(z) wrt z.
1056*z**2 - 1
Let r(h) be the second derivative of 4451*h**4/4 - 8*h**3/3 - 29*h**2/2 + 2507*h. Find the second derivative of r(z) wrt z.
26706
Let r(q) = -q**2 + 17*q + 7. Let c be r(16). Let z = c + -10. Differentiate 4*b**3 + z + 1 - 13*b**3 with respect to b.
-27*b**2
Let r(m) be the third derivative of m**8/168 + 85*m**6/8 - m**5/12 + 4597*m**4/24 - 15594*m**2. What is the second derivative of r(s) wrt s?
40*s**3 + 7650*s - 10
Let r(c) = -60*c - 99. Suppose -4*m + i = -64, 2 = -m - 4*i + 1. Let v(f) = 3*f - 1. Let a(w) = m*v(w) - r(w). What is the derivative of a(o) wrt o?
105
Let g be -4*2/4*-5. Find the third derivative of 2*v**5 - 24*v**2 + 5*v**3 - 57*v**2 + g*v**5 - 5*v**5 wrt v.
420*v**2 + 30
Let w(d) be the second derivative of -170*d**5 + 2807*d**2 + 10*d + 248. What is the derivative of w(o) wrt o?
-10200*o**2
Suppose 4*g - 5*k = -28, 72 = -5*g - 2*k - k. Let d = g + 20. What is the second derivative of d*b + 3*b - 2*b - 10*b**4 wrt b?
-120*b**2
What is the second derivative of -2843 + 5558*y - 101*y**3 + 1417 + 1426 - 68*y**2 wrt y?
-606*y - 136
Let x(c) be the first derivative of -1040*c**4 - 127*c**2/2 + 6*c + 4590. What is the second derivative of x(t) wrt t?
-24960*t
Let i(f) be the third derivative of -f**8/336 + 46*f**7/105 - 197*f**5/60 + f**4/24 - 451*f**2. What is the third derivative of i(z) wrt z?
-60*z**2 + 2208*z
Let m = 149 + -144. What is the derivative of -m - 55*y - y**2 + 60*y - 8 + 52 wrt y?
-2*y + 5
Let c = -87 + 95. Let w(k) = -51*k**3 - 16*k + 153. Let o(j) = -17*j**3 - 6*j + 51. Let z(u) = c*o(u) - 3*w(u). Differentiate z(h) wrt h.
51*h**2
Let k(q) be the third derivative of -2869*q**5/30 - 29*q**4/12 - 7*q**3/6 - 2*q**2 - q + 3436. What is the second derivative of k(x) wrt x?
-11476
Let c(f) = -f**2 + 17*f - 6. Let h be c(14). What is the second derivative of h*d + 7*d + 2 - 24*d**3 + 30*d - 2*d**2 - 39*d wrt d?
-144*d - 4
Suppose 5*x + 2*n - 51 = 29, 32 = 2*x - 2*n. Find the first derivative of -9 + 7 + 45*a**2 + x - a + 34*a**2 + 14 wrt a.
158*a - 1
Let z(u) = u**3 - 3*u**2 - 2*u - 3. Let m be z(4). Suppose 2*y = 4*n - 22, 6 + 2 = -n + m*y. Find the third derivative of 19*o**2 - o**6 - 7 + n - o**6 wrt o.
-240*o**3
Let i(x) = 31*x**3 - 10*x**2 - 86*x + 8078. Let k(m) = 63*m**3 - 25*m**2 - 177*m + 16156. Let a(c) = -5*i(c) + 2*k(c). Differentiate a(t) with respect to t.
-87*t**2 + 76
Suppose -70 = -35*g - 0. What is the third derivative of -65*r**2 - 62*r**3 - 33*r**2 - 30*r**g + 20*r**2 + 152*r**3 wrt r?
540
Suppose -3*p + 8 = 5*x, -4*x - 2 - 6 = 0. Let j = 3769 - 3767. Find the second derivative of j*q**2 + 62*q**4 - 58*q**4 + p*q - 2*q**2 wrt q.
48*q**2
What is the third derivative of -263*s**6 + 124*s**6 - 70*s**3 + 162*s**6 + 6*s + 40*s**2 + 37*s**2 wrt s?
2760*s**3 - 420
Let s(o) = -4039*o**3 + 2127*o**2 + 5*o. Let f(h) = 2690*h**3 - 1418*h**2 - 3*h. Let m(l) = -8*f(l) - 5*s(l). Find the third derivative of m(j) wrt j.
-7950
Let k(f) be the first derivative of 1085*f**4/4 - 609*f - 567. Find the first derivative of k(x) wrt x.
3255*x**2
Suppose -4*o = -4*o + 3*o. Suppose o*b - b + 61 = 2*j, -2*b + 4*j + 82 = 0. Differentiate 43 - 110 + b + 19*y**3 with respect to y.
57*y**2
Let r be 322084/84 + (-4)/(-6). Suppose -r = -2*p - 0*o + 5*o, 3*p - 5769 = 2*o. What is the third derivative of -p*k - 10*k**6 + 28*k**2 + 1925*k wrt k?
-1200*k**3
Suppose 3*l = -0*d - d - 4, 2*d = l + 13. Let a be ((-25)/(-10) + l)/(2/(-20)). Find the first derivative of -3*u + 5*u - 9*u + a*u + 10 wrt u.
-2
Let i = -21 + -2. Let c = -21 - i. Find the third derivative of 2*d**2 + 15*d**2 + 7*d**4 - 2*d**2 + 0*d**c wrt d.
168*d
Let h(g) = -8385*g**2 - 91*g - 107. Let n(p) = -2795*p**2 - 31*p - 35. Let k(j) = 2*h(j) - 7*n(j). What is the second derivative of k(q) wrt q?
5590
Suppose -f + 3*w = -9, -4*w = 2*f - 3*w - 18. Suppose 4*b + 1 = f. Differentiate 4*g**2 - 5 - 3*g**b + 7*g**2 + 3*g**2 wrt g.
22*g
Let r(h) = 4*h**2 + 17*h + 56. Let z be r(-6). What is the second derivative of -6*c**4 + 4*c**4 - z*c + 29*c**2 - 50*c**2 wrt c?
-24*c**2 - 42
Let i(t) be the first derivative of 121/3*t**3 - 2*t - 3/2*t**2 + 168. What is the second derivative of i(g) wrt g?
242
Let g = 61 - 56. What is the second derivative of 1 - 5*d**2 + 13*d**4 + d + 6 + g*d**2 wrt d?
156*d**2
Let j(s) = -s**3 - 6*s*
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{
"pile_set_name": "DM Mathematics"
}
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earest to -1/2 in -8, -2, 3.4, 5?
-2
Which is the closest to 1/566? (a) -4 (b) 3/4 (c) 4
b
What is the closest to 4 in -0.12, 4/9, -1/2, 0?
4/9
What is the closest to 31 in -3/8, -4/9, 5, 4?
5
Which is the nearest to -1238? (a) 1.8 (b) -4 (c) -0.2
b
What is the nearest to 0.2 in 2/37, 66, 24?
2/37
What is the closest to 218 in 2/7, -7, 3/2?
3/2
What is the nearest to 50 in -0.1, -0.5, -9/4, -32?
-0.1
Which is the closest to 380? (a) -5 (b) -0.11 (c) -0.3 (d) -0.01
d
Which is the nearest to 1? (a) -2 (b) 5 (c) -0.02 (d) 26958
c
Which is the closest to 1? (a) -4685 (b) 0.4 (c) -3/2
b
Which is the nearest to -1? (a) -1 (b) 0.4 (c) 124 (d) 2/9 (e) 23
a
Which is the nearest to 1/8? (a) -29 (b) 3 (c) -0.052
c
Which is the closest to 4? (a) 2/7 (b) -4 (c) 0 (d) -0.1
a
Which is the nearest to -0.7? (a) -3 (b) 18 (c) 1/4 (d) -32
c
Which is the closest to 2? (a) 4 (b) -1 (c) -15/8 (d) -3/2 (e) 41
a
Which is the nearest to 0? (a) -1/3 (b) 2 (c) -4 (d) 0.1162
d
What is the nearest to 0.1 in 16, 781, 0.5?
0.5
What is the nearest to 3 in -116879, -4, -1, 3?
3
What is the closest to -13376 in 0, 0.3, 0.4, -5, -4?
-5
What is the nearest to 2/9 in -5, 16.6, -4, -0.2, -106?
-0.2
What is the nearest to 0 in 1/4, -198, -0.12, 0?
0
Which is the closest to -3? (a) 4705 (b) 0.1 (c) -0.4 (d) 1/2 (e) 2
c
What is the closest to 2 in 26/7, 3, 16.8, -2/9?
3
Which is the nearest to 0.04? (a) 10 (b) 0.1 (c) 1383
b
What is the nearest to -3 in -7/3, -3/5, -0.319?
-7/3
Which is the closest to -1? (a) -116 (b) -2/5 (c) 31
b
What is the closest to -0.2 in -2/9, 3/2, -15863?
-2/9
What is the closest to -10 in 3/7, -6, 8/13, 0.1, -1/4?
-6
What is the closest to -14 in -1/5, -11, -2/21, 0.4?
-11
What is the closest to 4 in 2, -0.04, 1/9, -87, -6?
2
Which is the nearest to -5/4? (a) -0.1 (b) 0.4 (c) -16
a
What is the nearest to -0.894 in 1/4, 4, 0, 0.06, 0.1?
0
Which is the nearest to -2/5? (a) 0.11 (b) -2/7 (c) 0 (d) -2/11
b
What is the closest to 4 in 0.3, -0.1, -10138, -1?
0.3
What is the nearest to -20 in 12/25, 0.3, 0.5, -1/17?
-1/17
Which is the nearest to -99? (a) -1 (b) -3/2 (c) 1/4
b
What is the nearest to -0.1 in 0, 4, -108, -5, -1/6?
-1/6
Which is the closest to -0.03? (a) -1/6 (b) -0.13 (c) 0.2 (d) 9
b
What is the closest to -2 in 7, 0.2, -1017?
0.2
What is the nearest to 4.1 in -3/8, 10, -3?
-3/8
Which is the nearest to -1? (a) -3.2 (b) 0.2 (c) 8870
b
What is the nearest to 4 in -30, -3, -0.071, 4?
4
What is the nearest to 1 in 1, 0.5, 52, -5?
1
Which is the closest to 3/11? (a) -0.3 (b) 5 (c) 0.6 (d) 2 (e) 571
c
Which is the nearest to 3? (a) -8 (b) -36.51 (c) 0.1
c
Which is the nearest to -2? (a) -0.6 (b) 2/21 (c) -6/7 (d) 215.3 (e) 2
c
Which is the nearest to -121.59? (a) 4/3 (b) -91 (c) 0.2
b
Which is the nearest to -21/8? (a) -5 (b) 1/3 (c) -2/3 (d) 1 (e) 7
c
What is the nearest to 13 in -0.5, -1/4, 5, 4/177?
5
Which is the closest to 1? (a) -0.068 (b) -5/3 (c) 0.086 (d) 5
c
Which is the closest to -0.3? (a) 1 (b) -83 (c) 1/3 (d) 67 (e) -0.2
e
What is the nearest to -1 in -2/5, 24, -5, 0.5, -0.3?
-2/5
What is the closest to -63/5 in 0.1, -2, -7?
-7
Which is the closest to -5/2? (a) 18 (b) -0.5 (c) -2/5 (d) -2/11
b
Which is the nearest to -1? (a) -1 (b) -4 (c) -0.214 (d) 28 (e) 0.2
a
What is the closest to 0 in -31, 149, 2/9?
2/9
What is the closest to 26 in 1/11, -3, -17?
1/11
What is the closest to 61/5 in -0.1, 0.3, 0.5, -0.0079?
0.5
What is the closest to -0.8 in -2, 75, -0.053?
-0.053
What is the closest to -3 in 1.9, 5, 3.14, 3/2?
3/2
What is the nearest to 1686 in 0, 0.4, -6/5, -4?
0.4
Which is the nearest to -3? (a) 5 (b) 1/2 (c) 143/10 (d) -4 (e) 3
d
Which is the closest to 2/5? (a) -1/7 (b) -2/123 (c) 878
b
Which is the closest to -0.1? (a) -6 (b) 5/4 (c) -0.1 (d) 5
c
What is the nearest to 1 in 4/5, 0.23, 0.4, -1/10, -3?
4/5
What is the nearest to 1 in -0.1, 0, 28/19, -2?
28/19
Which is the nearest to 1106? (a) -0.5 (b) -0.2 (c) -0.3 (d) 4
d
What is the closest to 1/2 in 5, -3, 4.078, 1/11?
1/11
What is the nearest to -2 in -2/35, -8, 2/55, -2, -0.3?
-2
What is the closest to 0.92 in 0.1, -1.5, -0.4, -2/9?
0.1
What is the nearest to -4 in -0.08, 2/7, -1287, -4?
-4
What is the closest to -1 in -137, -4, 10, -2?
-2
Which is the closest to 6/5? (a) -4 (b) -1/2 (c) 1886
b
What is the closest to 1/371 in 0, 3, -5?
0
What is the closest to 0.1 in -0.2, -2/5, -4, -0.1?
-0.1
Which is the nearest to -1/4? (a) 1 (b) 88 (c) 0.2 (d) -18/5
c
Which is the nearest to 0.1? (a) 53/18 (b) 0.08 (c) -5
b
What is the nearest to 306 in 0.1, 16, -4, -2/23?
16
What is the closest to 0.2 in -0.04402, -0.5, -1?
-0.04402
What is the nearest to -0.435 in -0.4, -0.5, 31, -3, -0.28?
-0.4
What is the nearest to 1 in 1694, 0, 3, -2/5?
0
What is the closest to -3 in -12, -82, 0.1, 0?
0
What is the closest to -26 in 13, -2, -52.9, -2/3?
-2
What is the nearest to 2.5 in 0.04, 3/5, -0.3, 5, 55?
3/5
What is the nearest to -181.43 in -2, -2/5, 3, 0?
-2
What is the nearest to 62/3 in 1/6, -14, 0.4, -5?
0.4
What is the nearest to -3/4 in 0.06, -4, 0.2, 19, -0.2?
-0.2
Which is the nearest to -1? (a) 3 (b) 15 (c) 5 (d) -1 (e) -0.3
d
Which is the nearest to -8? (a) 0 (b) -4 (c) -55/171 (d) 2/3
b
What is the nearest to -2 in -0.19, -12, -4?
-0.19
What is the nearest to 2/7 in -0.36, -2/13, -1, 121.2, -2/7?
-2/13
Which is the closest to 0.2? (a) -1.495 (b) 2 (c) 11
a
What is the closest to 1 in -0.5, 5, 7, -4/177, 0?
0
Which is the closest to -1? (a) 0.99 (b) 2 (c) 2/9
c
Which is the closest to 2? (a) 7/93 (b) 5/6 (c) -4 (d) 2/7
b
Which is the closest to 0.06509? (a) 0.2 (b) 1 (c) -2 (d) 2 (e) 1/3
a
What is the closest to 2/3 in -5, 5/27, -34, -2?
5/27
What is the closest to -2/11 in -30, 15, -5?
-5
What is the nearest to -1612 in -1/2, -2/9, 0?
-1/2
What is the closest to 0 in 5/12, -1/17, -2, -1/9?
-1/17
What is the nearest to 0.05 in -3, 2, -4/19, 0.1?
0.1
What is the closest to 1.5 in 3/4, 3, -2/83, 0.2?
3/4
Which is the nearest to 0.2? (a) 2/9 (b) -43 (c) -39 (d) -4
a
What is the closest to 2/3 in 6, 2, 4, -1/62?
-1/62
Which is the closest to 10790? (a) -1 (b) 3 (c) 2/11 (d) -4 (e) -1.1
b
Which is the closest to -2/11? (a) 7801 (b) -0.1 (c) -13
b
Which is the nearest to -6? (a) 3 (b) -11392 (c) -0.2
c
What is the closest to 0.2 in 0.3468, 1, -50?
0.3468
What is the nearest to -98953 in -1/6, 1, 0.4?
-1/6
Which is the nearest to 0? (a) 4 (b) -12 (c) -1 (d) 0.5 (e) 10/53
e
Which is the closest to -4? (a) -0.3 (b) 282 (c) -2 (d) 7
c
What is the closest to 1/2 in -5778, -0.2, -0.06?
-0.06
What is the closest to -42 in -0.01, 1.4, 0.5, 1/4, 6?
-0.01
What is the closest to 18/49 in -5, 3, -3, 0.3?
0.3
Which is the closest to -37/35? (a) 5 (b) 1/8 (c) -8
b
What is the closest to 0.1 in 216, 0.8, -0.4, -1, -2?
-0.4
What is the nearest to 4 in -0.3, -2/19, -73, -0.5?
-2/19
Which is the closest to -0.1? (a) 4 (b) -567 (c) 5/4 (d) 0.4
d
Which is the closest to 2/11? (a) -2/5 (b) -0.2 (c) -275 (d) 1 (e) -0.1
e
What is the closest to -1 in 0.6, -1/3, -0.3, -2/259?
-1/3
Which is the closest to -0.1? (a) 40/3 (b) 2/21 (c) 1/5
b
What is the nearest to -332 in 4, -1, 0.2, -3, 253?
-3
Which is the closest to 5? (a) 23 (b) 0.4 (c) 2 (d) 4
d
Which is the nearest to 0.3? (a) 0.11 (b) -0.3 (c) 0 (d) -57 (e) -0.1
a
Which is the nearest to 11? (a) 0.4 (b) 1/21 (c) -6 (d) 4/7 (e) -2/9
d
Which is the nearest to -5/3? (a) 8 (b) -0.2 (c) -1 (d) 0.5 (e) -2
e
What is the nearest to 0.1 in 1/4, 46, -0.1, 0.08?
0.08
What is the closest to 1 in -31, -2/9, 0.24, -0.5, -30/7?
0.24
What is the closest to 0.1 in -3, 3/5, -3505?
3/5
Which is the closest to 1/4? (a) 46 (b) 11 (c) 2
c
What is the nearest to -1 in -0.2, -3, -5, -81, -23?
-0.2
What is the closest to -0.1 in 5/2, 9, 0.2, -115?
0.2
What is the nearest to 2 in -1/2, -5/3, -117?
-1/2
Which is the nearest to 0.05? (a) 0.0444 (b) 1/3 (c) 1/6
a
What is the nearest to -1/4 in 0.3, 0.1, -4, -2/5671, 0.6?
-2/5671
What is the closest to -7 in 2, 8/5, 9?
8/5
What is the closest to 3/5 in 10681, 5, -0.5?
-0.5
What is the nearest to 1 in -4/9, -107, 167, 2/
|
{
"pile_set_name": "DM Mathematics"
}
|
9 = -55*d. What is the biggest value in -1, 4, 5, d?
5
Suppose -4*x + 4 = -0. Suppose 2*p = 4*h - 2, h = 5*p + 4 + x. Let f be -7 - -5 - (-10)/8. What is the third biggest value in -0.4, p, f?
p
Let x = -9.8 - -10.9. Let h = 247/276 - 10/69. Which is the second smallest value? (a) h (b) x (c) -5
a
Let w = -146 - -122. Let i be (w/40)/((-24)/10). Which is the fourth biggest value? (a) -3/8 (b) -4 (c) 2/3 (d) i
b
Suppose -62 = 5*k - 6*k. Let h = 66 - k. What is the third biggest value in -0.4, 3/7, h?
-0.4
Let z = -26.3 - -26.389. Let c = -0.189 + z. What is the smallest value in c, 4/9, -0.3?
-0.3
Let w be 7/(-20) - (-3)/6. Suppose -4*u = 0, -g - u - 141 = -0*u. Let i = -281/2 - g. What is the third smallest value in i, w, -1/6?
i
Let b = -0.346135 - -0.046135. Let f = -17 + -1. Let t = 0.1 - -0.4. What is the biggest value in f, t, 1, b?
1
Let u = 7 + -9. Let y = 659.4 + -765. Let g = -108 - y. Which is the second smallest value? (a) 3 (b) u (c) g
b
Let g be ((-10)/(-20))/((-5)/418). Let j = 42 + g. Let k = -693/80 - -43/5. What is the biggest value in k, j, 0.4?
0.4
Let k be (-4)/58 - 321/(-29). What is the smallest value in 1, -2, -4, -0.3, k?
-4
Let i = -18.94 + 19. Let x = -0.1624 + -1.8376. Which is the second smallest value? (a) i (b) x (c) 3/2
a
Let j be -12 - (-1 + (-1566)/144). Which is the second biggest value? (a) 2/21 (b) 38 (c) -0.6 (d) 2/7 (e) j
d
Let w be ((-4)/2)/((-2)/(-2)). Let p = 174 - 161. Let v = -14 - -14.4. Which is the third smallest value? (a) 3 (b) w (c) p (d) v
a
Let m = 102 - 106. Let h = -8 - -16. Which is the second biggest value? (a) h (b) -2 (c) 1 (d) m
c
Let m = -9.02 - -613.02. Let t = 601 - m. What is the third smallest value in 2/11, t, -20.3?
2/11
Let t = -39 + 537. Let h = 997/2 - t. Which is the third biggest value? (a) 8 (b) -2 (c) h (d) -1
d
Let n be ((-4)/(-180))/(6/(-15)). Which is the third smallest value? (a) -2/5 (b) 0.2 (c) 15 (d) n
b
Let y = -189 - -188.145. Let u = y - -0.255. Which is the third biggest value? (a) -2/5 (b) 0.4 (c) -0.2 (d) u
a
Let v be 5 - (3 + (-11)/((-176)/28)). Let g = -58 + 57.95. What is the third smallest value in -2, g, v, 0.4?
v
Let k be 6/(-27) - (-1)/(-9). Let c be -1 + 150/39 - 3. Let z = 0.209 + -1.209. What is the third biggest value in c, 0.3, z, k?
k
Let c = 572.9 - 548. Let y = c + -24.6. Let m be (0 + 1/(-6))*-4. What is the second smallest value in 3, m, y?
m
Let h = -27 - -26.6. Let q = -60.23 - -60. Let m = q + 0.23. Which is the biggest value? (a) 1/7 (b) m (c) 0.3 (d) h
c
Let l = -778/63 + 106/9. Let q(y) = 46*y + 187. Let d be q(-4). What is the biggest value in 18, d, l?
18
Let b = -1121 + 1112. Let f = 8.78 - 9. Let s = f + 0.02. What is the smallest value in b, -1, s?
b
Let t = 10 + -11. Let d(r) = -r**3 - 6*r**2 - 9*r. Let z be d(-4). Suppose -4*w - z = -6*w. What is the smallest value in 5, w, t?
t
Let r = 1164 + -1158. Which is the third biggest value? (a) r (b) -4/9 (c) -2/3 (d) 2
b
Let a = 1479 + -1479. What is the fourth biggest value in 7.8, 3, 0.4, a?
a
Let o = 213 - 415. Let x = o - -200. Let a = 626/465 + -2/155. What is the fourth smallest value in x, 1, a, 0.1?
a
Let p be -9 + (9 - ((-6 - 1) + 74)). Suppose 107 = 3*b - 103. Let c = b + p. What is the fourth smallest value in 4, -1/6, c, 2/5?
4
Suppose -15 = -5*s - 0*s. Let z = 6516.039 + -6521. Let q = z - 0.039. What is the biggest value in q, 1/6, s?
s
Let w = -17936 + 17960. Let z be 0 + (-6)/(-39) + 180/(-325). Let k be (1/(-5))/((-6)/10). Which is the second smallest value? (a) k (b) w (c) z
a
Let d = 7439 - 7440. What is the third smallest value in d, -0.5, -0.134, 5/2?
-0.134
Suppose 27*v = 13*v - 80*v - 376. Which is the smallest value? (a) 5 (b) v (c) -3/8 (d) -1/12
b
Let d = -0.067 + 0.117. Let p = 548/21 + 81/7. Let t = -1475/39 + p. Which is the smallest value? (a) 2 (b) d (c) t
c
Let l = -18.997 - -18.497. What is the third smallest value in -2/3, l, 158, -4?
l
Let b = -11863 + 11866. What is the fourth biggest value in b, -5/33, -5, 4?
-5
Let o = 15/101 - -71/202. Suppose -2*k = -4*k + 6. Suppose 17 = 2*f - k*f. Which is the biggest value? (a) f (b) 2 (c) o
b
Let m = 4172 - 4182. Let j(l) = l**3 - 6*l**2 - 8*l + 9. Let p be j(7). Which is the third biggest value? (a) m (b) -3/2 (c) p
a
Let x = -241 + 244. Let f = -2/125 - 23/125. What is the third biggest value in -4, x, f, 2?
f
Let z = -1/3620 - -7243/10860. Which is the third biggest value? (a) 0.04 (b) 50 (c) z (d) 1
c
Let u = -68214/7 + 9746. What is the fourth biggest value in -5, 2, -3, u?
-5
Let n = 576 + -571. Which is the third smallest value? (a) -4 (b) 1 (c) 13 (d) n
d
Let i = 507 + -504.21. Let m = i + -2.79. What is the fourth biggest value in -5, 0.1, -0.4, m?
-5
Suppose 0 = -8*d + 2*d + 18. Suppose 2*o = d*o - 3. Suppose o*x = 11 - 2. What is the smallest value in 12, 1/7, x?
1/7
Let y(a) = -6*a + 81. Let h be y(14). What is the third biggest value in 3, h, -5, -2.1?
h
Let w = -908/27 + 3767/108. What is the third biggest value in 4, 2/9, w, -0.5, -3/2?
2/9
Let m be 1/1 + 3 - (-20)/(-8). Let x = -2.43 + -0.57. Which is the smallest value? (a) m (b) 1 (c) x
c
Let g = -0.0241 - -0.1241. Let d be (-4)/(-21)*(2 - (-3 + 8)). What is the smallest value in -5, g, 99, d?
-5
Suppose 3*y - 1 - 17 = -5*a, -3*a = -5*y - 38. Suppose 8 = 2*t - 5*w, -a*t + 15 = -11*t - 5*w. What is the third smallest value in -33, t, -0.3, -3?
t
Let k be (55/(-15) + 4)*(-1 - -2). Suppose 0 = 6*c - 24. Suppose 0 = 3*y - 4*x + 6, -3*x + c = y - 7. What is the third smallest value in y, k, 1?
y
Let q be 694/12*4 + -6*15/(-54). Which is the third smallest value? (a) q (b) 4 (c) -5
a
Let t = 10 + -9.88. Let r = t - -4.88. Let o be ((-640)/512)/(1/8). Which is the third biggest value? (a) o (b) -2 (c) r
a
Let u = -36744 - -36747. Which is the third biggest value? (a) -4 (b) u (c) -2/51 (d) 2/5 (e) 2/3
d
Let k = 3/1429 + 4281/2858. What is the fourth smallest value in -0.1, 24, 18/5, k?
24
Let p = -1.596 - -0.596. Suppose -12 = -7*j + 3*j. Which is the second smallest value? (a) -1/2 (b) p (c) j
a
Let i be 671/14152*29 - (-2)/(-16). What is the third smallest value in 5, i, -0.56?
5
Let p = -327.2 + 256. Let g = 68 + p. Let v be (-5 + 85/15)*(-3)/(-19). Which is the third biggest value? (a) g (b) v (c) 3
a
Suppose 0 = 2*a + 3*a + 10. Let j be 15/(-75) + (66/5)/1. Suppose -4*o = -y + 2, j = -5*o - 3*y + 2. What is the second biggest value in 0.08, 4/5, o, a?
0.08
Let h = 1105 - 2207/2. Which is the third biggest value? (a) 0 (b) h (c) -40 (d) -4
d
Suppose 0*a + 2*k - 5 = -5*a, -2*a - 4*k = 14. Let i = -6264 - -6263. What is the smallest value in i, 0.5, -13, a?
-13
Let n = -967 + 1332. Let u = -364.6 + n. Which is the fourth biggest value? (a) u (b) -0.5 (c) -2/19 (d) -1.4
d
Let v = 10 - 9.5. Let h = -174/83 - -1962/1411. What is the biggest value in v, h, -3?
v
Let v = 1378 - 1378.5. What is the second biggest value in v, -3/5, 0, -0.4?
-0.4
Let r be 1/(-2) - 1/4. Let m = 168803 + -168792. Which is the smallest value? (a) r (b) -1 (c) m
b
Let g be (91/(-104)*4)/((-147)/12). What is the fifth biggest value in -0.5, 3, 1/2, 114, g?
-0.5
Let t = -0.83 + 0.53. Let w = -0.02 - 1.98. Let g = 314 - 1573/5. Which is the fourth biggest value? (a) g (b) t (c) 5 (d) w
d
Let n = 87 + -87.288. Let h = -0.088 - n. Which is the biggest value? (a) 4/7 (b) -33 (c) h
a
Let i = 8 + -7.2. Let g = i - 0.6. Let u = 1992 - 1989. Which is the third biggest value? (a) 0.3 (b) u (c) g (d) -0.3
c
Let f = 12 - 7. Let w = -34.41 - -6.11. Let r = 28.4 + w. Which is the biggest value? (a) f (b) 2/7 (c) r
a
Let y be (-5)/95 + (-2890)/323 - (-4)/6. Which is the fourth smallest value? (a) 4/5 (b) 4 (c) 0.3 (d) y (e) -1/6
a
Let n = 83.5 - 83.4587. Let h = -0.0587 - n. Which is the fourth smallest value? (a) -0.4 (b) -0.5 (c) h (d) -4
c
Let c = 1386 + -1386.08. What is the second biggest value in c, 4, 0.4, 1?
1
Let t = -194/2805 + 64/255. What is the third smallest value in 9, 3.4, 1, t?
3.4
Let d = 12.37 + -7.37. Let s = -0.7 + 0.5. What is the fourth biggest value in d, -8/3, 1/6, s?
-8/3
Let z = -87248.3 + 87249. Let q be (-1)/2*(-8 - -3). What is the sec
|
{
"pile_set_name": "DM Mathematics"
}
|
z - 2. Calculate the highest common factor of o and z.
6
Let w be 3 - ((-20)/(-1) - 1). Let j be ((-7)/28)/(2/w). Let n be (12 + -8)*j/2. What is the highest common factor of 16 and n?
4
Let i be (1/(-3))/(5/(-30)). Suppose 14 + i = 4*r. Suppose -4 = r*s, 0 = -p - 0*p + s + 4. Calculate the greatest common divisor of 12 and p.
3
Let q = -17 + 94. Let a be 407/q - 4/14. What is the highest common divisor of 45 and a?
5
Suppose 3*c + 11 = -4*h + 398, 0 = -3*h + 2*c + 303. Let i be (-12)/(-2)*h/27. Calculate the greatest common divisor of i and 154.
22
Let h be 70 + (16 - (1 - -7)). What is the highest common divisor of 754 and h?
26
Let o(w) = 43*w**2 - 2. Let z(q) = -44*q**2 - q + 1. Let b(x) = -3*o(x) - 4*z(x). Let g be b(-1). Calculate the greatest common divisor of g and 45.
45
Suppose 0 = -2*c + 5*c - 27. Suppose -3*b - 1 = -2*d, -c = 4*b + 11. Let o be (-1)/3*d*33. Calculate the greatest common factor of o and 11.
11
Let f(p) = p**3 - 4*p**2 + 6*p - 6. Let b be f(3). Let t = -15 - -27. Calculate the greatest common divisor of t and b.
3
Let v = 226 - 222. Let b be (-46)/4*4*-1. Suppose -b = -v*k - 2. What is the greatest common divisor of 11 and k?
11
Let t be (3/(-4))/((-15)/100 + 0). Calculate the greatest common factor of 40 and t.
5
Let p(i) = -i**2 - 2*i + 8. Let s(m) = 6*m**3 - m - 1. Let u be s(-1). Let w be p(u). Let x = 18 + w. What is the greatest common divisor of 8 and x?
2
Suppose -4*a + 241 = 3*r, a - 4*r - 105 + 21 = 0. What is the greatest common divisor of a and 16?
16
Let o be 2/(-12) + 5474/84. Suppose -75 = -4*j + o. What is the greatest common factor of j and 14?
7
Suppose 33 = 2*o + o - 3*d, 5*o + d - 37 = 0. Calculate the highest common factor of o and 24.
8
Suppose -8*d + 14 = -34. Calculate the greatest common divisor of 2280 and d.
6
Let m be (1254/18 + -3)*3. What is the highest common divisor of m and 8?
8
Let n(b) = -b**2 - b + 156. Suppose -6*p - 5*p = -9*p. Let o be n(p). What is the greatest common divisor of 12 and o?
12
Suppose 26 = 21*x - 436. Calculate the greatest common divisor of 4 and x.
2
Let g = 4 - 2. Suppose 5*y + g - 92 = 0. Let r = -54 - -81. Calculate the greatest common divisor of r and y.
9
Suppose 5*b + 34 = 74. Suppose 7*s - 2*s - 320 = 0. What is the greatest common divisor of s and b?
8
Let l = 315 + -147. Let v(c) = 5*c + 1. Let k be v(4). Calculate the greatest common divisor of k and l.
21
Let m be 66 - -2 - (-1 + 11 + -5). Suppose -3*q - t = -11, 4*q - 11 - 3 = -t. Let o be (-6)/q + 11 + 0. Calculate the greatest common divisor of m and o.
9
Suppose -5*k - 140 = -19*k. Calculate the greatest common divisor of 130 and k.
10
Suppose -20 = -3*u + 2*u. Suppose 7*o - 769 = -209. What is the greatest common factor of o and u?
20
Suppose 3*m + 513 = 3*u, -844 = -5*u - 3*m + 35. Suppose -25 = -287*c + 1697. Calculate the greatest common factor of c and u.
6
Let h(q) = 10*q**2 + q. Let c be h(1). Let x(f) = 82*f - 43. Let m be x(2). Calculate the greatest common divisor of m and c.
11
Let l(r) = 4*r**2 + 22*r - 422. Let f be l(16). What is the greatest common factor of 18 and f?
18
Suppose 0 = 14*b - 1070 - 442. Calculate the highest common factor of b and 24.
12
Let v be 11 - ((-2)/5 - (-308)/70). Let b(q) = 5*q - 25. Let f be b(v). What is the highest common factor of 15 and f?
5
Suppose 27*d + 15 = 32*d. What is the highest common divisor of d and 24?
3
Let p = 205 - 139. Calculate the highest common divisor of p and 66.
66
Suppose -551 = 3*w + 190. Let c = 387 + w. Calculate the greatest common factor of 56 and c.
28
Let g(y) = -y**3 - 5*y**2 - 2*y + 2. Let q be g(-5). What is the highest common divisor of q and 60?
12
Suppose -15 = -2*q + 33. Suppose -3*a = -y - 12, 5*a = y - 0*y + 22. What is the greatest common factor of q and y?
3
Suppose 0 = -6*c - 229 + 535. Suppose 3*b + 185 - 1856 = 3*d, 3*b + 2*d - 1691 = 0. What is the highest common factor of b and c?
51
Let z(y) = -y + 9. Let a be z(-7). Suppose -4*x - j = -a, -2*x + j + j = -8. What is the highest common factor of x and 1?
1
Suppose 5*f + 4*i = 122, -2*f + 8*i + 59 = 13*i. Calculate the greatest common divisor of f and 88.
22
Suppose 22*u - 288 = 240. What is the greatest common factor of u and 8?
8
Let n be (-184)/(-18) + -2 + 12/(-54). Let y be (2 - 2) + (3 - 0). Let z be (y + 1)*(-4 + n). What is the highest common factor of z and 32?
16
Suppose -2*o + 4*i = 8*i - 2, 3*o + 2*i - 11 = 0. Suppose -2*r + 0*a + 88 = o*a, -3*r = -2*a - 94. Calculate the highest common factor of 204 and r.
34
Let x be (-6339)/(-12) - 10/8. Calculate the greatest common factor of 17 and x.
17
Let x = 178 - 136. What is the highest common factor of x and 84?
42
Let c be (2/(-4))/(29/(-6) + 5). Let m be (-5)/(112/(-36) - c). What is the greatest common divisor of m and 18?
9
Let q = 13 + -9. Suppose 7 - 1 = 2*g, -3*h - 231 = -2*g. Let p = -43 - h. What is the greatest common divisor of p and q?
4
Let g(q) = -q**3 + 13*q**2 - 14*q + 29. Let o be g(12). Suppose v - 154 = -o*r + 2*v, -v = -2*r + 64. Calculate the greatest common divisor of r and 5.
5
Let k be -3 - (1 - -1)/(-2)*129. What is the greatest common divisor of 315 and k?
63
Suppose 502*a = 481*a + 210. Calculate the highest common divisor of 1010 and a.
10
Let p(t) = t + 7. Let w be p(5). Suppose z + 7 - w = 0. Let i be 90/(-2)*2/(-2). What is the greatest common divisor of i and z?
5
Let p be -4 - (-15 + 5) - 1. Calculate the highest common divisor of p and 105.
5
Let z(h) = -6*h + 64. Let x be z(6). Let a = -6 - -5. Let m(v) = 13*v**2 - v. Let c be m(a). Calculate the highest common factor of c and x.
14
Suppose 5*h - 3 = -m, 2*m - 9 = -m + 5*h. Suppose 4*l = -11 + 23. What is the greatest common divisor of m and l?
3
Suppose -3*w + 34 = -q, 5 = w - q - 7. Let l be (w - (-2 - -1))/2. Suppose i - l*i = -55. What is the greatest common factor of 44 and i?
11
Let h be (-2)/(12/(-450)) + 6. What is the greatest common factor of 18 and h?
9
Let n be (10/24*4)/(2/6). Suppose -n*p + 40 = 5*p. What is the greatest common factor of p and 4?
4
Let l(i) = 5*i + 60. Let j be l(23). Calculate the greatest common factor of 35 and j.
35
Suppose 632 = 5*x + 92. Let i = 172 - 148. Calculate the highest common factor of x and i.
12
Let n = 1 + 1. Suppose n + 4 = 2*a, -2*i - 4*a = -18. Suppose 2*z - 3*r = 45 - 12, -i*r - 57 = -3*z. Calculate the highest common divisor of 72 and z.
24
Let o = 77 + -17. Let d be (246/30 - 7)/((-4)/(-50)). Calculate the greatest common factor of o and d.
15
Let j be 2/6 + 22/6. Suppose -j = -5*o + 36. Let f(x) = x**3 - 6*x**2 - 2*x + 9. Let u be f(o). What is the highest common divisor of 11 and u?
11
Let y(n) be the second derivative of -25*n**3/3 - n**2/2 - 7*n. Suppose 0 = 3*k - k + 2. Let v be y(k). What is the highest common divisor of v and 7?
7
Let d = -148 + 204. What is the greatest common divisor of d and 24?
8
Let i(n) = -12*n + 61. Let s be i(-5). What is the highest common divisor of 22 and s?
11
Suppose 4*f = 7*f - 30. Calculate the greatest common factor of f and 16.
2
Let v = -154 + 162. Calculate the greatest common factor of 1096 and v.
8
Let f = 825 - 678. What is the greatest common factor of f and 21?
21
Let g be 2*(-30)/(-12) + 0 + 0. Let f be g + 17 - 1*-2. Calculate the greatest common divisor of f and 72.
24
Suppose -s + 43 = -32. Let j = -83 - -133. Calculate the greatest common divisor of s and j.
25
Let p be (-210)/(-8) + 12/16. Let z(t) = -21*t. Let b be z(-9). Calculate the greatest common factor of b and p.
27
Suppose 6*q + w + 260 - 856 = 0, -5*w = -q + 120. What is the highest common divisor of q and 90?
10
Suppose -3*y + 4*y - 70 = -c, 0 = 3*c - 9. Let j = y + -27. Suppose -12*a + 298 = 17 + 41. What is the highest common divisor of a and j?
20
Let r be (-6)/(-2)*244*(-28)/(-48). Calculate the highest common factor of 7 and r.
7
Suppose -d = 6*u - 3*u + 21, 0 = -2*u + 8. Let c be ((-8)/(-2) - 7)*d. Calculate the highest common factor of 9 and c.
9
Let p = -86 + 150. Let m be 0 - -4*(-2)/(-12)*6. Suppose -m*w + 40 = w. Calculate the highest common divisor of p and w.
8
Let g be 2/14*2*(120 - 113). Suppose 0*v = -4*v - 20. Let r(d) = -d**3 - 6*d**2 - 7*d - 6. Let w be r(v). What is the highest common factor of g and w?
2
Suppose 0 = 3*w + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 4*n**2 - 2*n - 2. What is the lowest common multiple of 26 and i(-4)?
78
Let d = 129 + -102. Calculate the smallest common multiple of 12 and d.
108
Let k = 54667/16 + -3415. Let r = k + -23/80. Calculate the common denominator of 41/6 and r.
30
Suppose -9*l = -45 - 18. Calculate the lowest common multiple of l and 7.
7
Let k(s) = 3*s + 3. Let n be k(6). Suppose n = 3*l - 12. What is the least common multiple of l and (-15)/(-12) + (-2)/8?
11
Let w = 14 + -5. Let k = w - 4. Calculate the common denominator of -77/12 and -1*(605/18)/k.
36
Let p be (-8)/(-6)*912258/240. Let h = 5076 - p. Find the common denominator of -49/4 and h.
20
What is the common denominator of 5/((-100)/8) + -2 and (-460)/(-42) - 2/7?
15
Let f = 41956181 - 18964204797/452. Let v = f + 6/113. Calculate the common denominator of v and 105/(-4) - (-3)/(-12).
4
Let w = 19 - 17. What is the smallest common multiple of 5 and 2 + w + 7 + 0?
55
Let x(p) = p**2 + 1. Let o be x(2). Suppose 2*s - s - 27 = -o*z, -28 = -4*s - 4*z. What is the least common multiple of s and 10?
10
Let y(j) = -j**3 + 6*j**2 + j + 6. Let m be y(6). Suppose 0*p + m = 2*p. What is the least common multiple of p and (-1 + 22/(-14))*-7?
18
Let y = 2019/4 + -439. Let q(d) = -3*d**2 + 3*d - 2. Let c be q(-4). Let x = y + c. Calculate the common denominator of -51/11 and x.
44
Let w be -5 + 6 + (-14189)/6. Let x = -2358 - w. What is the common denominator of x and -3/20?
60
Let c be ((-12)/5)/((-2)/(-20)). What is the common denominator of 2/(0 + c/58) and (1/4)/((-3)/(-102))?
6
Let b(y) be the first derivative of y**2/2 + 5*y + 5. Let j be (1 + 13)/(2 + 0). What is the lowest common multiple of b(j) and 6?
12
Suppose -28 = -2*p + 4*t, -p - t + 19 = -4*t. Suppose -p*z + 2 = -6*z. What is the smallest common multiple of 7 and 0/3 + (0 - z)?
7
Suppose -2*n = -n - 7. Let q be -2 + (-20)/(-2) + 2. Suppose -4*h - h = -q. Calculate the lowest common multiple of h and n.
14
Suppose 6 = 4*j - 154. Suppose 3*u - j = -u. What is the least common multiple of u and 20?
20
Let d = 14 + -4. Let v(p) = -4*p - 2. Let x be v(-8). Suppose -10 = -5*l - 3*n + x, -5*l = -5*n. Calculate the lowest common multiple of d and l.
10
Let j = 50/13 - 1371/299. Calculate the common denominator of j and -25/9.
207
Find the common denominator of -22/7 and 3 + (34/(-50))/((-4)/30).
70
Let n(z) = -z + 5. Let y(u) = u**3 + 10*u**2 - 10*u + 5. Let t be y(-11). What is the smallest common multiple of n(t) and 3?
33
Suppose -h = -0*h - 4. Calculate the common denominator of 109/6 and h/16*(-70)/(-8).
48
Suppose -u + 1 + 6 = 0. Calculate the smallest common multiple of u and (4/6)/(-2 - (-224)/108).
63
Let n = 105113/38 + -16841597/6042. Let b = -7/159 + n. Calculate the common denominator of b and ((-332)/18)/(16/(-12)).
6
Suppose 0 = -6*y + 3*y + 5*z + 65, -4*y + 79 = z. Calculate the smallest common multiple of y and 2.
20
Suppose -4*d + 9 = -d. Suppose 2*l + 6 + 0 = -4*u, 2*l + 2*u = 0. What is the smallest common multiple of d and l?
3
Let s be 2/(-7) + (-18500493)/106806. Let b = 4/2543 + s. Let p = -184 - b. Calculate the common denominator of p and 33/2.
2
Calculate the common denominator of (-2)/6*315/110 and -107/18.
198
Calculate the common denominator of ((-3)/21)/((-12)/(-553)) and 93/4.
12
Let g = 40 + -31. Calculate the lowest common multiple of 9 and g.
9
Let c(m) = 3*m - 4. Let l be c(8). Suppose -j - 5*n = -2*n - 12, -n = -5*j - l. What is the common denominator of 2 + j - (-51)/(-42) and -89/18?
126
Let l be 1 - (-2 - (0 - 0)). Suppose 0 = l*z + z - 68. Suppose -2*v - z = -53. What is the least common multiple of 14 and v?
126
Let o(a) = -8*a + 3. Let w be o(-3). Suppose -l - 7 = -w. Calculate the smallest common multiple of l and 2.
20
Let x(i) = i - 3. What is the smallest common multiple of x(10) and 8?
56
Suppose 0 = f + 5*t - 17, -5*f + 41 = 4*t - t. Suppose -3*u = u - 8. Calculate the smallest common multiple of u and f.
14
Suppose 3*z + 14 = 68. Suppose -4*m - z = -l, 0*l + 3*m = l - 15. Calculate the common denominator of l and 37/5.
5
Find the common denominator of 81/16 and 404/8*(-1)/9.
144
Let a(w) = w**2 - 5*w + 4. Suppose 5*r = 20 + 10. What is the lowest common multiple of 8 and a(r)?
40
Suppose 2*j + 5*a = 42, -5*a = -4*j + 74 - 20. Suppose 3*z - 53 = -17. What is the smallest common multiple of z and j?
48
Let n = -265554791/8707 + 30499. Let x = 339533/174140 + n. Calculate the common denominator of -25/12 and x.
60
Let b = 4823 - 96349/20. What is the common denominator of (-2)/7 + 442/224 and b?
80
Suppose -152 = -4*c + 2*a, -2*c - 3*a + 92 = -0*a. Let b = c + -30. Let q = 3 + -2. What is the smallest common multiple of b and q?
10
Let v = -10 - -18. Calculate the lowest common multiple of 11 and v.
88
Suppose -v - 3 = -r - 1, -4*r + 8 = v. Suppose r*y = -y + 24. Calculate the lowest common multiple of 4 and y.
8
Suppose -4*p = -32 - 0. Calculate the least common multiple of 3 and p.
24
Let q = 31141/4383 - -3/487. What is the common denominator of 145/66 and q?
198
Suppose -g + 57 = 18*g. What is the smallest common multiple of g and 9?
9
Suppose -9 = 4*s - 29. Let b be (-1 - s)/(-3)*-2841. Let y = -56931/10 - b. Calculate the common denominator of y and 37/16.
80
Let m = 61835559/16 - 3859753. Let g = 4971 - m. Let s = g - -109/16. What is the common denominator of -131/18 and s?
72
Suppose 0 = -4*g - 2*c + 28, -5*g + 2*c + 2 = -33. Suppose 4*x + 20 = 4*b + 5*x, -3*b = -2*x - 4. What is the lowest common multiple of b and g?
28
Let x(l) = 3*l**2 - 3. Let k be x(5). Let c = -70 - k. Find the common denominator of 19/4 and (c/42)/((-4)/6).
28
Let h = -47/14 - 11/14. What is the common denominator of (-30)/(-7) + 0/(-2) and h?
7
Suppose -2*q = 12 - 172. Let n = 31 - -29. Suppose 0 = -3*a - 5*h + q, -a - 5*h = a - n. What is the lowest common multiple of a and 10?
20
Find the common denominator of (-28)/(-27)*102*4/64 and 43.
18
Suppose 12 = 2*j + 2*u - 3*u, 4*u + 12 = -j. Calculate the least common multiple of j and (36/14)/(2/14).
36
Suppose 7 = w - 5*f - 10, -5*w - 5*f - 5 = 0. What is the smallest common multiple of 8 and w?
8
Suppose -3*a - 116 = -2*r - 2*r, 5*r = 5*a + 200. Calculate the common denominator of ((-3)/a)/((-1)/6) and -31/22.
22
Find the common denominator of (-542)/(-24) + (-2)/(-12) and -61/9.
36
Let s(a) = a**3 + 7*a**2 + 6*a + 6. Let t be s(-6). Calculate the common denominator of -103/10 and ((-4)/48)/(t/(-356)).
90
Suppose 3*a - 101 = u, 42 = 2*a - 5*u - 8. Suppose 0 = 4*c - 9*c + a. Let f = 12 - c. Calculate the least common multiple of f and 2.
10
Suppose -4*a - 4 = -6*a. Suppose 6*u - 2*u - 120 = -2*p, 5*u - a*p - 168 = 0. Calculate the smallest common multiple of (7/(-14))/((-1)/u) and 14.
112
Let r(s) = s**3 - 9*s**2 + 11*s - 12. Let g be r(8). Let x(n) = n**2 - 3. What is the smallest common multiple of (6/(-4))/(g/(-80)) and x(3)?
30
Let z = 16 + -2. Suppose -3*b + 2*b + z = 0. Calculate the least common multiple of 2 and b.
14
Let x be 295*(0 - (-16)/20). Find the common denominator of (-1)/3 - (-106)/12 and (x/(-8))/((-3)/2).
6
Let t = 43 - 31. Suppose -4*u + 4*r = r - 39, -3*u + 51 = 5*r. What is the least common multiple of u and t?
12
Let f = 1270103/72 - 17639. Find the common denominator of f and -47/18.
72
Let q = 3303251/4274757 + 16626/4439. Let a = q + 4/107. Let b = -178/9 - a. What is the common denominator of b and -17/3?
3
Suppose -2*l - 6 = 2*j, -2*l - 5 = -l. Suppose 2*h - 4 = 0, -j*y + 2*h + 0 = -4. Suppose -6 = -3*i + 12. What is the smallest common multiple of y and i?
12
Let t = -3835/516 - -58/43. Calculate the common denominator of t and -13/12.
12
Suppose f + f = -4*r + 138, -51 = -r + 5*f. What is the smallest common multiple of 28 and r?
252
Let t(l) = -6*l - 2. Let y be t(-4). Find the common denominator of ((-1)/4)/(y/60) and 3/88*74*-2.
22
Suppose -w = 3*q - 5*q - 48, 0 = w - 5*q - 57. Let h = 1939 - 5765/3. Calculate the common denominator of w and h.
3
Let i be (-200)/14 - (-4)/14. Let p = i + 25. Let o = 2 - -1. Calculate the least common multiple of p and o.
33
Suppose -35 = -3*g + 8*l - 3*l, -4*g + 2*l + 70 = 0. Let w be (-68)/(-5) - 2/(-5). Calculate the lowest common multiple of g and 228/w - 4/14.
80
Suppose -4*u + 34 + 30 = 4*z, -2*u
|
{
"pile_set_name": "DM Mathematics"
}
|
at is 33200 rounded to the nearest ten thousand?
30000
Round -0.0040907 to four decimal places.
-0.0041
Round -0.00000673 to six dps.
-0.000007
Round -11276.8 to the nearest one thousand.
-11000
Round -15127100 to the nearest 10000.
-15130000
What is -0.05679 rounded to two dps?
-0.06
Round -26.48 to zero decimal places.
-26
What is -140430 rounded to the nearest 1000?
-140000
Round -0.023311 to 3 decimal places.
-0.023
Round 393100 to the nearest ten thousand.
390000
What is 507.1 rounded to the nearest 10?
510
Round 5460 to the nearest one thousand.
5000
Round 0.1516 to 2 decimal places.
0.15
What is -4.112 rounded to 1 dp?
-4.1
What is -0.0035719 rounded to five dps?
-0.00357
What is -0.000009042 rounded to six dps?
-0.000009
What is 47.52 rounded to the nearest ten?
50
What is -91.72 rounded to 0 dps?
-92
What is -15.05 rounded to zero dps?
-15
What is 40493 rounded to the nearest one hundred?
40500
What is -114.62 rounded to the nearest 10?
-110
What is 862 rounded to the nearest 100?
900
What is -1201.4 rounded to the nearest ten?
-1200
What is 85600 rounded to the nearest 1000?
86000
Round 0.034435 to four dps.
0.0344
What is -3294400 rounded to the nearest 1000000?
-3000000
Round -978.3 to the nearest 100.
-1000
Round 748.1 to the nearest 100.
700
What is -1283650 rounded to the nearest 100000?
-1300000
What is -1750000 rounded to the nearest 100000?
-1800000
What is -7.2478 rounded to 0 decimal places?
-7
What is 0.000014125 rounded to six dps?
0.000014
Round 0.40691 to two decimal places.
0.41
Round -16.3 to the nearest ten.
-20
What is 437.09 rounded to the nearest ten?
440
Round -0.000049335 to 6 decimal places.
-0.000049
Round 0.00002065 to five decimal places.
0.00002
What is 0.0736 rounded to two dps?
0.07
Round 1040 to the nearest 100.
1000
Round 14.28 to the nearest 10.
10
Round 632000 to the nearest one hundred thousand.
600000
Round -0.000020177 to 7 dps.
-0.0000202
Round -0.007605 to four dps.
-0.0076
Round -9981 to the nearest 1000.
-10000
What is -0.000021 rounded to four dps?
0
What is -131400 rounded to the nearest one thousand?
-131000
Round 74.57 to the nearest ten.
70
What is -9177 rounded to the nearest one thousand?
-9000
What is 0.0001103 rounded to 4 dps?
0.0001
Round 0.02229 to 3 dps.
0.022
Round 205000 to the nearest 100000.
200000
Round -511.43 to the nearest one hundred.
-500
Round -0.00054475 to four decimal places.
-0.0005
Round 0.00000494 to 6 dps.
0.000005
What is -3685 rounded to the nearest one hundred?
-3700
Round -1955 to the nearest one hundred.
-2000
Round 96.31 to the nearest 10.
100
What is -9096 rounded to the nearest one hundred?
-9100
What is -2219300 rounded to the nearest ten thousand?
-2220000
What is -0.00069829 rounded to 4 dps?
-0.0007
Round 0.000002014 to 7 dps.
0.000002
What is 0.02406 rounded to 3 dps?
0.024
Round 32.947 to the nearest integer.
33
Round -446.4 to the nearest one hundred.
-400
What is -0.0000202906 rounded to 7 decimal places?
-0.0000203
Round 5970 to the nearest one hundred.
6000
Round -252000 to the nearest 100000.
-300000
What is 0.1872 rounded to two dps?
0.19
What is 2293900 rounded to the nearest one million?
2000000
What is -6863100 rounded to the nearest one hundred thousand?
-6900000
Round 10.6961 to 2 dps.
10.7
Round 1.3204 to 1 dp.
1.3
Round -2285630 to the nearest 10000.
-2290000
Round 0.00001967 to five dps.
0.00002
Round 0.6131 to 1 decimal place.
0.6
What is 83820 rounded to the nearest 10000?
80000
Round -0.027269 to four dps.
-0.0273
What is -52900 rounded to the nearest 10000?
-50000
Round -1685000 to the nearest 100000.
-1700000
Round -4.66396 to 2 dps.
-4.66
What is -10570 rounded to the nearest one hundred?
-10600
Round 681.2 to the nearest 10.
680
What is -0.000010751 rounded to seven dps?
-0.0000108
Round -0.04854 to three decimal places.
-0.049
Round -427.49 to 0 dps.
-427
Round 0.000253597 to 5 decimal places.
0.00025
Round 14.27 to one dp.
14.3
Round 0.006992 to 4 decimal places.
0.007
What is -0.0005289 rounded to 5 decimal places?
-0.00053
What is -0.0053896 rounded to five decimal places?
-0.00539
What is -3920 rounded to the nearest 1000?
-4000
What is -306700 rounded to the nearest 100000?
-300000
What is 50110000 rounded to the nearest 1000000?
50000000
Round -169.13 to the nearest ten.
-170
What is 30230 rounded to the nearest 1000?
30000
What is 337400 rounded to the nearest 10000?
340000
What is -1.2334 rounded to two decimal places?
-1.23
Round -0.006667 to 3 dps.
-0.007
Round -0.04558 to three dps.
-0.046
What is 0.0003244 rounded to five dps?
0.00032
Round 0.00019725 to five dps.
0.0002
Round 10235 to the nearest one thousand.
10000
What is 6.1016 rounded to 2 dps?
6.1
Round 76.2 to the nearest 10.
80
Round -108880 to the nearest one thousand.
-109000
Round 0.00011032 to 6 dps.
0.00011
Round -0.0001315 to 6 dps.
-0.000132
What is -0.0000465737 rounded to seven dps?
-0.0000466
Round -466490 to the nearest 1000.
-466000
Round -25150000 to the nearest 1000000.
-25000000
What is -0.000013 rounded to 5 dps?
-0.00001
What is -127.7 rounded to the nearest integer?
-128
What is -7665 rounded to the nearest one hundred?
-7700
Round 0.41104 to 3 decimal places.
0.411
What is 0.1641 rounded to one decimal place?
0.2
What is 1.356 rounded to one dp?
1.4
Round -0.00000767 to 6 dps.
-0.000008
What is -18451 rounded to the nearest 100?
-18500
What is -302.1 rounded to the nearest 10?
-300
Round -115.47 to 0 dps.
-115
What is 0.1446 rounded to two decimal places?
0.14
What is -537000 rounded to the nearest 10000?
-540000
What is -0.0000015102 rounded to 6 decimal places?
-0.000002
What is -5.3481 rounded to two dps?
-5.35
Round 93700 to the nearest 1000.
94000
What is 574.4 rounded to the nearest 100?
600
Round -571.7 to the nearest 100.
-600
What is 2689000 rounded to the nearest 100000?
2700000
Round 0.00000066435 to seven dps.
0.0000007
What is -0.0002591 rounded to 5 decimal places?
-0.00026
Round -2178.6 to the nearest 100.
-2200
What is 75860000 rounded to the nearest 1000000?
76000000
Round -77960 to the nearest 1000.
-78000
Round -0.0006283 to five decimal places.
-0.00063
What is -2075000 rounded to the nearest 100000?
-2100000
What is -41900 rounded to the nearest one thousand?
-42000
What is -0.26 rounded to 2 decimal places?
-0.26
Round 129.3 to the nearest ten.
130
What is -0.06393 rounded to two dps?
-0.06
Round 0.0538 to one dp.
0.1
What is -0.0000481 rounded to six dps?
-0.000048
Round 12325000 to the nearest one hundred thousand.
12300000
Round 31000000 to the nearest 1000000.
31000000
Round 2.12612 to 1 dp.
2.1
Round -7016 to the nearest ten thousand.
-10000
Round 0.1917 to 0 dps.
0
What is -21.18 rounded to the nearest integer?
-21
What is 0.0006005 rounded to 4 dps?
0.0006
What is 11968.2 rounded to the nearest 1000?
12000
Round -8.3312 to 0 dps.
-8
Round 0.06306 to three dps.
0.063
Round 1.73826 to one decimal place.
1.7
What is 0.00170729 rounded to four decimal places?
0.0017
What is 0.0004342 rounded to 5 decimal places?
0.00043
What is 0.00076 rounded to four decimal places?
0.0008
Round -0.00753 to 3 decimal places.
-0.008
What is -0.000009665 rounded to 6 dps?
-0.00001
Round -2627200 to the nearest 10000.
-2630000
Round 0.12001 to 3 dps.
0.12
Round 0.0076908 to 3 dps.
0.008
What is 10338.4 rounded to the nearest 10?
10340
What is 447.35 rounded to the nearest one hundred?
400
Round -12.438 to zero decimal places.
-12
What is -13.56 rounded to 0 decimal places?
-14
Round 0.7051 to one dp.
0.7
Round 2.023 to one decimal place.
2
Round 0.4083 to two decimal places.
0.41
Round 0.0000005405 to seven dps.
0.0000005
Round 2409000 to the nearest 1000000.
2000000
What is -0.01393 rounded to three dps?
-0.014
What is 2.539 rounded to 1 dp?
2.5
What is 9511 rounded to the nearest one hundred?
9500
Round -350000 to the nearest 10000.
-350000
What is -11.359 rounded to one dp?
-11.4
Round -16170000 to the nearest 100000.
-16200000
Round -0.00059422 to five decimal places.
-0.00059
Round 705000 to the nearest ten thousand.
710000
What is 74806.4 rounded to the nearest 10000?
70000
What is -0.06722 rounded to three decimal places?
-0.067
What is -317720 rounded to the nearest 100000?
-300000
Round -0.00049529 to 5 decimal places.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
common factor of 7 and 4627.
7
Calculate the greatest common divisor of 234 and 546.
78
What is the highest common factor of 6 and 74?
2
Calculate the greatest common divisor of 44 and 1460.
4
What is the greatest common divisor of 22 and 2486?
22
What is the highest common factor of 133 and 2489?
19
Calculate the highest common factor of 20 and 388.
4
Calculate the highest common divisor of 220 and 99.
11
Calculate the highest common factor of 760 and 1160.
40
Calculate the highest common factor of 222 and 54.
6
What is the greatest common factor of 560 and 20?
20
What is the greatest common factor of 3 and 96?
3
Calculate the highest common factor of 770 and 42.
14
Calculate the highest common divisor of 553 and 7.
7
Calculate the highest common divisor of 28 and 8.
4
Calculate the greatest common divisor of 938 and 536.
134
What is the highest common divisor of 36 and 348?
12
Calculate the highest common factor of 86 and 301.
43
What is the greatest common divisor of 798 and 912?
114
What is the highest common divisor of 46 and 920?
46
Calculate the highest common divisor of 5 and 23.
1
What is the greatest common divisor of 346 and 14013?
173
What is the highest common divisor of 13 and 191?
1
What is the greatest common divisor of 24 and 3?
3
What is the greatest common factor of 250 and 35?
5
Calculate the greatest common factor of 22 and 12760.
22
What is the greatest common factor of 21 and 12341?
7
Calculate the highest common divisor of 29 and 783.
29
What is the highest common factor of 6496 and 1568?
224
What is the highest common factor of 110 and 430?
10
Calculate the greatest common divisor of 236 and 4.
4
Calculate the highest common divisor of 290 and 58.
58
What is the greatest common divisor of 14 and 5726?
14
Calculate the highest common factor of 3 and 277.
1
Calculate the greatest common divisor of 93 and 372.
93
Calculate the highest common divisor of 11750 and 30.
10
Calculate the highest common factor of 48 and 3408.
48
Calculate the greatest common factor of 57 and 2907.
57
What is the highest common factor of 174 and 3?
3
What is the highest common divisor of 42 and 15?
3
Calculate the greatest common divisor of 82 and 1312.
82
Calculate the highest common factor of 1628 and 66.
22
Calculate the highest common divisor of 48 and 138.
6
Calculate the greatest common divisor of 279 and 1125.
9
What is the greatest common factor of 215 and 989?
43
Calculate the greatest common factor of 4 and 996.
4
What is the greatest common divisor of 424 and 318?
106
What is the highest common divisor of 1092 and 168?
84
What is the highest common divisor of 36 and 27?
9
What is the highest common divisor of 56 and 128?
8
Calculate the highest common divisor of 764 and 20.
4
Calculate the greatest common divisor of 276 and 92.
92
What is the highest common factor of 1395 and 15?
15
Calculate the highest common divisor of 1250 and 1.
1
What is the highest common factor of 1482 and 52?
26
Calculate the greatest common divisor of 1058 and 506.
46
Calculate the greatest common divisor of 99 and 418.
11
Calculate the greatest common factor of 560 and 336.
112
Calculate the highest common factor of 114 and 8512.
38
Calculate the greatest common divisor of 1236 and 48.
12
Calculate the greatest common factor of 68 and 646.
34
Calculate the greatest common divisor of 42 and 1554.
42
Calculate the highest common divisor of 8 and 776.
8
Calculate the highest common divisor of 14 and 280.
14
Calculate the greatest common factor of 18 and 32.
2
Calculate the highest common factor of 2108 and 272.
68
What is the highest common divisor of 20 and 12230?
10
What is the highest common factor of 1147 and 851?
37
Calculate the greatest common divisor of 29 and 202.
1
Calculate the greatest common divisor of 47 and 2491.
47
What is the greatest common factor of 65 and 377?
13
Calculate the highest common divisor of 396 and 2868.
12
Calculate the highest common factor of 4176 and 87.
87
Calculate the greatest common divisor of 18882 and 18.
18
What is the highest common divisor of 2405 and 26?
13
What is the highest common factor of 26 and 91?
13
What is the highest common factor of 12 and 222?
6
What is the greatest common factor of 2373 and 168?
21
What is the highest common divisor of 688 and 1333?
43
What is the greatest common divisor of 63 and 49?
7
What is the highest common factor of 60 and 29370?
30
Calculate the greatest common factor of 300 and 4950.
150
What is the highest common factor of 208 and 12?
4
What is the greatest common factor of 479 and 20?
1
What is the highest common factor of 36 and 306?
18
What is the greatest common divisor of 123 and 28659?
123
Calculate the greatest common factor of 12 and 10236.
12
Calculate the highest common factor of 2209 and 47.
47
What is the greatest common divisor of 140 and 310?
10
What is the greatest common factor of 5 and 395?
5
Calculate the greatest common factor of 16 and 1744.
16
Calculate the greatest common factor of 1267 and 7.
7
What is the highest common divisor of 24 and 456?
24
What is the highest common divisor of 1406 and 114?
38
Calculate the highest common divisor of 247 and 209.
19
What is the highest common divisor of 1591 and 74?
37
Calculate the highest common factor of 1323 and 27.
27
Calculate the highest common divisor of 132 and 18084.
132
What is the greatest common divisor of 19 and 551?
19
What is the highest common divisor of 2407 and 83?
83
Calculate the highest common factor of 763 and 7.
7
What is the highest common factor of 35322 and 63?
21
What is the greatest common factor of 8550 and 270?
90
What is the greatest common divisor of 6105 and 45?
15
Calculate the highest common factor of 5 and 835.
5
What is the greatest common divisor of 12883 and 13?
13
What is the highest common factor of 22 and 5324?
22
Calculate the greatest common divisor of 55 and 5.
5
What is the greatest common divisor of 261 and 3683?
29
What is the highest common factor of 270 and 35?
5
Calculate the greatest common factor of 11275 and 82.
41
Calculate the greatest common factor of 70 and 70.
70
What is the greatest common factor of 237 and 79?
79
What is the greatest common factor of 23 and 368?
23
Calculate the highest common divisor of 852 and 12.
12
Calculate the greatest common factor of 475 and 25.
25
What is the greatest common factor of 923 and 13?
13
Calculate the highest common factor of 455 and 1855.
35
Calculate the greatest common factor of 1110 and 60.
30
Calculate the highest common divisor of 143 and 187.
11
Calculate the highest common factor of 299 and 637.
13
What is the highest common divisor of 9 and 219?
3
Calculate the greatest common factor of 7387 and 83.
83
Calculate the greatest common divisor of 927 and 824.
103
Calculate the greatest common divisor of 63 and 14.
7
What is the highest common factor of 32 and 968?
8
What is the highest common divisor of 64 and 928?
32
Calculate the greatest common divisor of 41402 and 489.
163
Calculate the highest common divisor of 15 and 15.
15
What is the greatest common factor of 58 and 3741?
29
Calculate the highest common factor of 4 and 26.
2
What is the highest common factor of 16686 and 162?
162
What is the greatest common divisor of 5 and 155?
5
Calculate the greatest common factor of 9 and 45.
9
Calculate the greatest common factor of 183 and 15.
3
Calculate the highest common factor of 7655 and 5.
5
Calculate the greatest common divisor of 13 and 1287.
13
What is the highest common factor of 20 and 100?
20
What is the greatest common divisor of 2 and 10?
2
What is the greatest common divisor of 1479 and 34?
17
What is the greatest common factor of 1521 and 234?
117
Calculate the greatest common factor of 28542 and 201.
201
What is the greatest common divisor of 36 and 153?
9
Calculate the greatest common divisor of 250 and 30.
10
Calculate the greatest common divisor of 416 and 160.
32
Calculate the highest common divisor of 24 and 984.
24
Calculate the highest common divisor of 520 and 390.
130
Calculate the highest common factor of 13440 and 210.
210
What is the highest common divisor of 10 and 810?
10
What is the greatest common factor of 40 and 3320?
40
Calculate the greatest common divisor of 392 and 8.
8
|
{
"pile_set_name": "DM Mathematics"
}
|
git of v(-5)?
4
Let o(y) = 2*y**2 - 8*y - 7. What is the tens digit of o(9)?
8
Suppose 0 = g - 3*s - 69, s = g - 4*s - 73. What is the units digit of g?
3
Let l(x) = -5*x**3 + 2*x**2 - 1. Let a = -3 - -2. What is the units digit of l(a)?
6
Let q = -1123 - -343. Let v(b) = b**3 - b**2 + b - 11. Let t be v(0). What is the units digit of q/(-55) + 2/t?
4
Suppose 10*a = 5*a + 25. Let r(q) = -q + 10. Let n be r(a). Suppose -21 = 2*g - n*g. What is the units digit of g?
7
Suppose -3*s - 21 = 2*a, a + 5*s + 21 = -0*s. Let f be (-6 - 1)/(-5 - a). Let h = 20 + f. What is the units digit of h?
3
Suppose 1342 = 7*o - 93. What is the units digit of o?
5
Let p be 18/4*(-2)/(-3). Suppose -2*v + p = -13. What is the units digit of v?
8
Let p(h) = -5*h - h + h**2 + h - 11. Let u = 34 - 26. What is the tens digit of p(u)?
1
Let i = -3 + 3. Suppose 3*j - 33 - 15 = i. What is the units digit of j?
6
Let y be (2/(-3))/((-4)/30). Suppose -2*j + 5 + y = 0. What is the units digit of j?
5
Suppose -12 - 8 = -5*l. Suppose l*x - 15 = x. What is the units digit of x?
5
Let k(g) = 5*g**3 + 23*g**2 - 27*g + 4. Let d(w) = -w**3 - 6*w**2 + 7*w - 1. Let r(j) = 9*d(j) + 2*k(j). What is the units digit of r(7)?
3
Suppose 0 = -4*s + 310 + 218. What is the hundreds digit of s?
1
Suppose -2*v + 20 = 3*v. Let n(z) = -2*z + 4. Let o be n(v). Let g = 0 - o. What is the units digit of g?
4
Suppose -4*r + 6*r - 4*m = 388, 615 = 3*r + 5*m. What is the hundreds digit of r?
2
Let n = 307 - 201. What is the tens digit of n?
0
Let k(s) = s**3 + 5*s**2 - s - 3. Let n be k(-5). Let v(c) = 2*c**2 - 2. Let u be v(n). Let m = u + -2. What is the units digit of m?
4
Suppose 3*r - 8*r + 28 = f, -35 = -5*f - 4*r. Let c be (0 - (-6)/(-3)) + f. Suppose 3*m - c - 5 = 0. What is the units digit of m?
2
Let q(r) = 5*r - 3 + r**2 + 5 + 7. What is the units digit of q(-8)?
3
Let r(u) = -7*u + 1. Let j be r(-6). Suppose j = 3*g - 5*s, 11 + 22 = 3*g - 3*s. Let o = g + -2. What is the units digit of o?
4
Suppose 0 = -0*v - 2*v + 22. Let p be (-15)/10*24/4. Let x = p + v. What is the units digit of x?
2
Suppose -2*c + 17 = -w, -1 = 3*c - 2*w - 28. What is the units digit of c?
7
Suppose 5*l - 210 - 70 = 0. Let y = l + -5. What is the tens digit of y?
5
Let u = -2 + 8. Suppose u*d - 100 = d. What is the units digit of d?
0
Let f(k) = 2 + 10*k - 1 - 1 + 1. What is the tens digit of f(3)?
3
Let u(o) = -10*o - 1. What is the units digit of u(-1)?
9
Let g(a) = a**3 - 6*a**2 + 7*a - 3. Suppose 0 - 1 = y. Let z be ((-4)/(-4))/(y/(-5)). What is the units digit of g(z)?
7
Let p(n) = -10*n - 56. What is the tens digit of p(-10)?
4
Let y = -11 + -3. What is the tens digit of 2/3*-3 - y?
1
Let g be (8/3)/((-6)/(-9)). Suppose 0 = 2*f + 4*k - 18 - 22, 3*f - g*k - 40 = 0. What is the units digit of f?
6
Let m = -323 - -590. What is the tens digit of m?
6
Let q = 16 - 10. Suppose -15 = 3*t - 6. What is the units digit of 45*((-16)/q - t)?
5
Let f(u) = 4*u**2 + 1. Let j be f(1). Suppose j*w - 2 = 63. What is the units digit of w?
3
Let c(i) = -i**2 - 6*i - 3. Let j be c(-3). Let z = j - -11. What is the tens digit of z?
1
Let c(a) = a**3 - 7*a**2 - 4*a + 3. Let p be c(8). Let q = -23 + p. What is the tens digit of q?
1
Let a(s) = -s**2 - 4*s + 5. Let d be a(-4). Suppose -x = -d*j - 14 + 49, 5*x = 0. What is the units digit of j?
7
Let q = 405 + -284. What is the hundreds digit of q?
1
Let p(f) be the first derivative of f**4/4 + 8*f**3/3 - f**2/2 - 6*f - 3. Let y(m) = m**2 + 8*m + 7. Let q be y(-5). What is the units digit of p(q)?
2
Let d(m) = -3*m + 1. Suppose -4*j - a = 31, j + a - 6*a - 8 = 0. What is the units digit of d(j)?
2
Let u be (3 + -8 + 2)*-1. Suppose -11 = -3*m - b, -u*b = -8*m + 3*m - 5. What is the units digit of m?
2
Let l(d) = -7*d**3 + 3*d**2 + 9*d - 13. Let q(s) = 13*s**3 - 6*s**2 - 17*s + 25. Let r(y) = 11*l(y) + 6*q(y). What is the tens digit of r(5)?
4
Let w(d) = 2*d - 1. Suppose -5 - 2 = -m + g, -4*m + 2*g + 20 = 0. Let x = -1 + m. What is the units digit of w(x)?
3
Suppose 3*l + 2*r + 3*r = 27, 3*l - 18 = -2*r. Suppose 0 = -2*h + l + 2. What is the units digit of h?
3
Suppose -2*u - 3*u + 15 = 0. Let c(x) = 2*x - 2 + 0*x + 4 + u*x**2 - 3*x. What is the units digit of c(-2)?
6
Suppose -4*a - 2*j + 742 = 0, 2*j - 381 = -2*a - j. What is the units digit of a?
3
Suppose -4*v + 46 = s, -3*v + v = -4. What is the units digit of s?
8
Let b(l) = -l**2 + 7*l + 10. What is the units digit of b(7)?
0
Let x(u) = 5*u**2 - 4*u**3 + 5*u**3 + 15*u - 5*u**2 + 18*u**2 + 11. What is the tens digit of x(-17)?
4
Let m(h) = -2*h - 1. Let u be m(-7). Let x = 21 - u. Let r = x - 4. What is the units digit of r?
4
Suppose 4*z = -18 - 22. Let u = z + 40. What is the units digit of u?
0
Suppose -4*o + 256 = 4*u, 0 = -3*o + 3*u - 128 + 314. What is the tens digit of o?
6
Suppose 4*z - 4*o = -11 - 1, -2*z = 5*o + 13. Suppose 0 = 5*k - 0*k + 30. Let n = z - k. What is the units digit of n?
2
Suppose -22*w + 21*w = -16. What is the tens digit of w?
1
Suppose -3*f - o = 2*f - 19, 3*o + 7 = f. What is the units digit of f?
4
Let f(u) = -u**2 - u + 2. Let b be f(-2). Let m = b + 1. What is the units digit of 7 + m + 0/(-2)?
8
Let t = 68 + -33. Let z be 655/t - (-4)/14. Let p = z - 13. What is the units digit of p?
6
Let w be ((-3)/2)/(1/(-2)). Suppose 3*o + 15 = -w*m, -o - 4*m = 11 + 9. Suppose o*q = -5*q + 25. What is the units digit of q?
5
Let n = -167 - -290. What is the tens digit of n?
2
Suppose 3*h - 7*h = -336. What is the units digit of h?
4
Let u be 1 + 12/(-15)*-5. Suppose 3*l = 4*l + 11. Let v = u - l. What is the units digit of v?
6
What is the hundreds digit of 42/4*(-3 - -17)?
1
Let r(v) = 3*v**3 - 7*v**2 + 5*v + 7. What is the units digit of r(4)?
7
Suppose 4*s - 95 = 3*s + 4*v, 0 = s - 5*v - 94. What is the units digit of s?
9
Let a(x) = 46*x**2 - x. What is the units digit of a(1)?
5
Let u = -2 - -5. Let a(g) = 2*g - 4. Let p be a(u). What is the tens digit of ((-85)/10)/((-1)/p)?
1
Let a = 8 - 6. Suppose 2*z - 16 = -3*o, -6 = -5*o + 3*z + 46. Suppose j + o = a*j. What is the units digit of j?
8
Suppose -3*j + 20 = -q, -j - 17 + 2 = 4*q. Suppose -j*y + 2 = -3. What is the units digit of y?
1
Let l be ((-12)/(-16))/(6/16). Suppose -46 = -4*i + l*i. What is the tens digit of i?
2
Let b(s) = s**2 - 6*s + 1. Let w be b(6). What is the units digit of ((-1)/w)/(6/(-72))?
2
Suppose 0 = c + 5*p - 38, -30 = -8*c + 7*c - p. What is the units digit of c?
8
Let n(x) = -4*x - 13. Let c = -7 + 0. What is the units digit of n(c)?
5
Let a = 17 + -12. Suppose -g - 1 = 3*u - u, 21 = a*g - 3*u. Suppose 2*k = 5*k - g. What is the units digit of k?
1
Suppose 0 = 2*l + 4*q - 16, 0*q - 21 = -3*l - 3*q. Let g(z) = -z**3 + 7*z**2 - 4*z - 7. What is the units digit of g(l)?
5
Let n be (-4)/(-10) + (-128)/20. Suppose -6 = m - 2*x, -5*m - x - 45 = 4*x. What is the units digit of n*(2 + m/3)?
4
Suppose -3*q + 136 = g, -2*q - 3*q = -g - 232. What is the units digit of q?
6
Suppose -2*a + 90 = z, -3*z + 75 = 3*a - 207. Suppose 13 = -5*p + z. What is the units digit of p?
7
Let a(z) = z**3 - 11*z**2 + 10*z - 1. Let d be a(10). Let m be (1/1)/(2/(-6)). What is the units digit of -13*(2 - m/d)?
3
What is the tens digit of ((-1)/(-3))/((-4)/(-540))?
4
Let b(x) = x**3 - 8*x**2 + 11*x - 5. Let o be b(7). Suppose -17 = -4*j + o. What is the tens digit of j?
1
Let b(c) = 23*c**2 + 6*c - 6. What is the hundreds digit of b(-3)?
1
Let v = -29 - -62. What is the units digit of v?
3
Let j(u) = -u**2 + 19*u - 5. What is the tens digit of j(15)?
5
Let s(d) = -6*d**2 - 9*d + 19. Let q(a) = a**2 + 2*a - 4. Let y(f) = -11*q(f) - 2*s(f). Suppose 20 = 6*k - k. What is the units digit of y(k)?
6
What is the units digit of (-24)/6 - (-12 - -1)?
7
Suppose -2 = -u - 8. Let q(g) = -g**2 - 6*g + 1. What is the units digit of q(u)?
1
Let f(i) = -i**3 - 5*i**2 + 2*i - 7. Suppose 2*m = -6 - 6. What is the tens digit of f(m)?
1
Suppose -2*c = -0*c. Let y(m) = 3 - 1 + 5*m - 4*m. What is the units digit of y(c)?
2
Suppose -2*c = -0*c + 20. Let k be 4 - 5 - (17 + 1). Let h = c - k. What is the units digit of h?
9
Let d = 8 + -4. Suppose -d*t - 5 = -5*k + 51, k = 5*t + 7. What is the tens digit of k?
1
Suppose 3*t = t + 4. What is the units digit of t?
2
Let f be 1 + 1 - -2
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from acacffcccapgcccca.
9/68
Three letters picked without replacement from {b: 2, h: 11}. Give prob of picking 1 b and 2 h.
5/13
Two letters picked without replacement from {s: 1, r: 1, m: 14}. What is prob of picking 2 m?
91/120
Four letters picked without replacement from rriiizrr. Give prob of picking 1 i and 3 r.
6/35
Two letters picked without replacement from {y: 3, f: 7}. What is prob of picking 2 f?
7/15
What is prob of picking 3 z when three letters picked without replacement from qbbzzzzzwzzbzzzwwbw?
40/323
Three letters picked without replacement from fzffftzp. What is prob of picking 1 t and 2 z?
1/56
What is prob of picking 1 t and 2 g when three letters picked without replacement from gggtggggggggt?
5/13
Three letters picked without replacement from {r: 2, b: 2}. Give prob of picking 1 b and 2 r.
1/2
Two letters picked without replacement from ozcoccocczcco. What is prob of picking 1 z and 1 c?
7/39
Two letters picked without replacement from iittttccttii. Give prob of picking 2 i.
1/11
What is prob of picking 1 c and 2 d when three letters picked without replacement from ddccd?
3/5
Two letters picked without replacement from kvvvkkfkkkkkkkkkfvkv. What is prob of picking 2 k?
39/95
Two letters picked without replacement from {c: 6, l: 2, m: 2, d: 3, t: 3}. Give prob of picking 1 l and 1 t.
1/20
What is prob of picking 1 e and 1 c when two letters picked without replacement from ceiry?
1/10
Calculate prob of picking 1 e and 1 a when two letters picked without replacement from eaee.
1/2
What is prob of picking 3 o when three letters picked without replacement from oooub?
1/10
Three letters picked without replacement from kmkumuukugggkmgu. What is prob of picking 2 m and 1 u?
3/112
Calculate prob of picking 1 x, 1 e, and 1 i when three letters picked without replacement from {i: 1, x: 3, k: 1, e: 3, b: 2}.
3/40
Three letters picked without replacement from lalal. What is prob of picking 2 l and 1 a?
3/5
What is prob of picking 1 l and 1 f when two letters picked without replacement from {l: 1, f: 7, a: 6}?
1/13
Three letters picked without replacement from kemcctdt. What is prob of picking 1 e and 2 c?
1/56
Calculate prob of picking 3 g when three letters picked without replacement from {k: 1, g: 6, s: 8}.
4/91
Four letters picked without replacement from ddsszczshds. What is prob of picking 1 c and 3 d?
1/330
Calculate prob of picking 2 n when two letters picked without replacement from wwnvnjmwvhmmwm.
1/91
Two letters picked without replacement from {o: 2, k: 5}. What is prob of picking 2 o?
1/21
Three letters picked without replacement from {s: 1, o: 10, m: 4, n: 2}. What is prob of picking 2 o and 1 n?
9/68
Two letters picked without replacement from {n: 1, m: 1, h: 1, t: 1, o: 1}. What is prob of picking 1 t and 1 n?
1/10
Calculate prob of picking 1 k and 2 u when three letters picked without replacement from skukkuu.
9/35
Two letters picked without replacement from {s: 2, a: 10, z: 4}. Give prob of picking 2 z.
1/20
What is prob of picking 1 h and 1 z when two letters picked without replacement from uugguuzuuuwghwgg?
1/120
Two letters picked without replacement from xxxsessxssses. What is prob of picking 1 s and 1 x?
14/39
Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, p: 2}.
10/21
Calculate prob of picking 2 p and 2 t when four letters picked without replacement from ptttp.
3/5
Three letters picked without replacement from qqqqqqqqq. What is prob of picking 3 q?
1
Four letters picked without replacement from {w: 1, m: 1, y: 1, l: 1, r: 3}. Give prob of picking 2 r, 1 w, and 1 l.
3/35
What is prob of picking 1 g and 1 n when two letters picked without replacement from {g: 2, e: 2, n: 6, m: 9}?
4/57
Four letters picked without replacement from {u: 1, r: 2, b: 4, o: 4}. Give prob of picking 3 o and 1 r.
4/165
What is prob of picking 3 a when three letters picked without replacement from {r: 11, a: 9}?
7/95
What is prob of picking 1 f and 3 y when four letters picked without replacement from {y: 10, f: 9}?
90/323
Calculate prob of picking 1 c and 2 o when three letters picked without replacement from ccocooucoccocococcc.
77/323
What is prob of picking 1 x and 1 d when two letters picked without replacement from {f: 1, x: 1, m: 1, h: 3, d: 1}?
1/21
Three letters picked without replacement from huuuihihiihuui. What is prob of picking 3 h?
1/91
Two letters picked without replacement from awararawrrdwadrawa. Give prob of picking 2 d.
1/153
Calculate prob of picking 2 m, 1 y, and 1 c when four letters picked without replacement from ycymm.
2/5
Four letters picked without replacement from nwwgngwggnwgnn. What is prob of picking 1 w and 3 g?
40/1001
Calculate prob of picking 1 i, 1 j, 1 l, and 1 q when four letters picked without replacement from {l: 2, j: 9, q: 3, i: 2, u: 3}.
9/323
What is prob of picking 1 s, 1 i, and 1 o when three letters picked without replacement from {i: 1, g: 4, s: 3, o: 3}?
3/55
Two letters picked without replacement from {u: 2, v: 6, q: 1, n: 2, t: 3}. Give prob of picking 2 q.
0
Four letters picked without replacement from cwqcwdcqwcqwqqcccd. Give prob of picking 2 q and 2 c.
7/102
Two letters picked without replacement from {u: 2, m: 1, k: 2, f: 1, l: 2}. What is prob of picking 1 u and 1 l?
1/7
Calculate prob of picking 1 r and 2 d when three letters picked without replacement from {g: 5, x: 1, r: 4, d: 3, q: 5}.
1/68
Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {c: 2, i: 8, v: 9}.
8/19
What is prob of picking 1 d, 1 g, and 1 k when three letters picked without replacement from kdlgdvgq?
1/14
What is prob of picking 2 g, 1 q, and 1 z when four letters picked without replacement from lzzpzzqzzgqlpgzqlp?
7/1020
What is prob of picking 4 a when four letters picked without replacement from {a: 4}?
1
What is prob of picking 1 d, 1 j, and 1 i when three letters picked without replacement from qjmidllmmjqlmd?
1/91
What is prob of picking 2 o and 1 m when three letters picked without replacement from {o: 2, m: 17}?
1/57
What is prob of picking 2 l when two letters picked without replacement from {l: 9, i: 2}?
36/55
Two letters picked without replacement from ccwufwyflfculf. What is prob of picking 1 y and 1 u?
2/91
Calculate prob of picking 1 a and 3 i when four letters picked without replacement from {a: 4, i: 7}.
14/33
Three letters picked without replacement from owgns. Give prob of picking 1 n, 1 o, and 1 w.
1/10
Two letters picked without replacement from {q: 2, b: 4, u: 4}. Give prob of picking 1 b and 1 u.
16/45
Four letters picked without replacement from ggpgkgssgkjpjgsp. What is prob of picking 2 k and 2 s?
3/1820
Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {t: 1, m: 5, n: 2, f: 2, b: 4}.
10/91
Three letters picked without replacement from {r: 7}. Give prob of picking 3 r.
1
Three letters picked without replacement from {g: 4, w: 10}. What is prob of picking 2 g and 1 w?
15/91
What is prob of picking 1 a and 2 m when three letters picked without replacement from {c: 2, a: 4, m: 8}?
4/13
Three letters picked without replacement from {d: 6, c: 6}. Give prob of picking 3 d.
1/11
What is prob of picking 1 v and 1 x when two letters picked without replacement from {u: 1, i: 5, v: 1, x: 2, r: 3, h: 1}?
1/39
Three letters picked without replacement from jbnjnw. What is prob of picking 2 w and 1 n?
0
Two letters picked without replacement from oeeeenhwonheeeohh. Give prob of picking 1 o and 1 h.
3/34
Two letters picked without replacement from jhsjjsshsssssggs. What is prob of picking 1 j and 1 s?
9/40
What is prob of picking 1 l, 1 r, and 1 v when three letters picked without replacement from {r: 1, n: 3, j: 1, l: 6, w: 3, v: 4}?
1/34
Two letters picked without replacement from {c: 1, l: 1, g: 9, y: 1, p: 4, k: 1}. Give prob of picking 1 p and 1 l.
1/34
Calculate prob of picking 4 p when four letters picked without replacement from ppppp.
1
What is prob of picking 2 b when two letters picked without replacement from qbbq?
1/6
Calculate prob of picking 1 q and 2 a when three letters picked without replacement from pupakapaqpap.
3/110
Four letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
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