text stringlengths 270 8.19k | meta dict |
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0 + 3*g) - 973*g + 7143*g - 37*g + 3587*g - 182*g)*(-1 - 4 + 3) as a + s*g and give s.
-19088
Express (-5*f + 2*f + 4*f)*(-18149*f**2 + 36329*f**2 + 24 - 902*f + 243*f - 18178*f**2) in the form s*f + m*f**2 + w + t*f**3 and give s.
24
Express -73*z**3 - 101*z**3 + 142*z**3 + (-2 + 3*z + 2)*(8*z**2 - 36*z**2 - 3*z**2) + z**3 + 0*z**3 - 3*z**3 in the form i*z**2 + r*z + v + p*z**3 and give p.
-127
Express (x**3 - 3*x**3 + 0*x**3)*(-1461 + 2*x - 1622 + 56) + 0*x**4 + 0*x**4 + 2*x**4 in the form l*x**3 + n + b*x**4 + a*x**2 + y*x and give b.
-2
Express -3*u**3 + 3*u**3 - 6*u**4 + (-15*u**2 - 2*u**3 + 15*u**2)*(4141 - 4143 + 85*u + 113*u) in the form t + y*u**3 + h*u**4 + f*u**2 + m*u and give h.
-402
Express 2*g - 3*g + 0*g + (-1 + 0 - 1)*(-2*g - g + 4*g) - 4137*g - 13 - 8173*g + 21 - 8 in the form r*g + h and give r.
-12313
Express 1755*c - 1753*c - 1 + 92*c**4 + c**2 + 16*c**4 as u*c**2 + p*c + v + r*c**3 + j*c**4 and give j.
108
Express 8*h**3 - 367*h**2 - 19*h**3 + 16 - 11 + 7*h**3 + 3*h**3 as k*h**3 + v*h**2 + z + b*h and give v.
-367
Rearrange -2*i**3 - i**3 + 2*i**3 + (-172*i**3 - 155*i**3 - 29*i**3)*(-3 - 1 + 1) to z*i**3 + h*i**2 + d*i + g and give z.
1067
Rearrange (-7*h - 32 + 32 + (-2*h - 1 + 1)*(-3 + 1 + 3))*(84 + 111 - 37) to y*h + a and give y.
-1422
Express -202*t**2 + 4345540*t - 4345540*t - 20*t**3 in the form f*t**3 + m*t**2 + l + h*t and give h.
0
Express 11968*f + 761044 - 761044 as q*f + m and give q.
11968
Express (-266*t + 1528*t + 1311*t)*(4 - 2 + 0)*(2*t**2 - 4 - 2*t + 4) as c*t**2 + a + r*t + w*t**3 and give r.
0
Express 62 - 25*q - 193 + 208*q + 63 + 67 as k + b*q and give k.
-1
Rearrange -4*l**4 - 6*l**4 + 6*l**4 + (l**4 + 0*l + 0*l)*(-2 + 3 + 7) to the form w + n*l**4 + y*l + f*l**3 + v*l**2 and give f.
0
Rearrange -3*a + 21*a + a - 18*a - 2280 to s*a + f and give f.
-2280
Rearrange (2 + x**2 - 2)*(16 - 31 + 29 - 4 + 4 + 2 + (4 - 6 + 4)*(-3 + 4 + 0) + 0 - 4 + 3 - 3 + 1 - 2) to the form q*x + n*x**2 + y and give y.
0
Rearrange 793548*i**2 - 803485*i**2 + 0*i + 0*i to c + b*i**2 + a*i and give b.
-9937
Rearrange j**4 - 2*j**4 - j**4 + (0*j**4 + 0*j**4 + j**4)*(0 + 1 - 4) + 12816*j - 101*j**4 - 12816*j to p*j + o + b*j**4 + m*j**2 + r*j**3 and give b.
-106
Rearrange o - 3*o + 4*o + (3*o - 2 + 2)*((-3 - 1 + 2)*(24 - 54 + 24) + (0 - 1 - 1)*(3 + 0 - 4)) + 6*o + 7*o - 5*o to the form r + w*o and give w.
52
Express 0*z**4 + 0*z**4 + z**4 + (5*z**2 - z**2 - 3*z**2)*(z - 2*z**2 - z) + 3087*z**4 - 3202*z**4 + 2035*z**4 as c*z**3 + j*z + p*z**4 + l + w*z**2 and give c.
0
Rearrange (-1 - 1 + 4 - 2*a)*(-3 + 3 + 2*a**3) - 6027*a**4 + 1065*a**4 - 8294*a**4 to the form c*a**2 + d*a + z + b*a**3 + r*a**4 and give r.
-13260
Rearrange (-i**2 + i**2 + 2*i**2)*(18752 + 17529 + 6073 - 7729) to the form p*i + l + h*i**2 and give l.
0
Rearrange (9 - 2 - 3)*(-1 + 1 - 28)*(2 - 4 + 3)*(-1 - 3*f + 1) to s*f + c and give s.
336
Express (((-3 + 0 + 2)*(-2 + 4 + 0) - 38 - 1 - 1)*(3*l + 8*l - 10*l) - 2*l - 2*l + 2*l)*(-3 + 1 + 3) in the form k*l + b and give k.
-44
Express 13 - 28 - 448*x + 16 + 2*x + x - 4*x - 4*x + 6*x + 0*x + x + 0*x - 2*x + (3*x + x - 2*x)*(-4 - 2 + 4) in the form b*x + i and give b.
-452
Rearrange 2*c**3 + 30186*c**2 + 34*c**4 - c - 30184*c**2 + 6*c**3 + 2 - 2*c - 4*c**3 to the form m + t*c**3 + h*c**2 + g*c**4 + v*c and give h.
2
Rearrange 6 + 464*t + 1127*t + 2481*t - 6 to b*t + k and give b.
4072
Express -601*n + 199*n + 200*n - 11 + 11*n**3 + 200*n + 7*n**4 as b*n**2 + c*n**4 + r*n**3 + q*n + t and give c.
7
Express (44 + 15*t**2 - 44)*((-4 + 2 - 2)*(3*t + 3*t - 4*t) + 14*t - 6 + 6) as z*t + v*t**2 + w*t**3 + r and give w.
90
Express 2*u**2 - 35*u + 40*u + 52*u + 87*u as p*u + o + n*u**2 and give p.
144
Express (5 + 0 + 0 + 2)*(-4245 - 5541 - 3205)*(1 - b - 1) in the form o*b + x and give o.
90937
Express (-3 + 0 + 5)*(445 - 74 + 1115 + 343 + 5*q + 266) in the form u*q + n and give n.
4190
Rearrange (-2*i + i**3 - i**3 + 2*i**2 + 1 - 2*i**3)*(35 - 156 - 79) to the form f*i**2 + l + u*i**3 + y*i and give y.
400
Rearrange 656*c**2 - 1 - 2*c + 1 + 1300*c**2 to the form i + n*c + u*c**2 and give u.
1956
Rearrange (33*k**2 - 55*k**2 + 2*k - 93*k**2)*(20*k + 7 - 10*k - 4) to n*k**2 + a + t*k + q*k**3 and give t.
6
Rearrange 2 - 4 + 72*y + 273*y**2 + 278*y**2 - 569*y**2 - y**3 to the form q*y + t + p*y**2 + v*y**3 and give v.
-1
Rearrange 518 + 2769*x - 176 - 170 - 172 to the form i*x + v and give v.
0
Express -1 - 48*h + 41*h + h**2 - 354*h as r + w*h**2 + z*h and give z.
-361
Rearrange -128*x**2 + 391*x**2 - 122*x**2 - 143*x**2 + 910*x to a*x + m + r*x**2 and give a.
910
Rearrange 2572*s**3 - 17*s**3 + 65*s**3 + 129*s**3 + 2 to l*s + x + t*s**3 + m*s**2 and give t.
2749
Rearrange -5*s**3 - 76*s + 102 - 4*s**2 - 100 + 72*s + 0*s**2 to the form c + d*s**2 + g*s + p*s**3 and give d.
-4
Express 3670*j - 1840*j - 1833*j - 60*j**2 + 1 + 3*j**3 - 1 as i + d*j**2 + m*j + o*j**3 and give m.
-3
Express -20194*a + 2927*a - 5241*a as q + n*a and give n.
-22508
Express -3281*h - 10219*h + 745*h - 1263*h as f*h + d and give f.
-14018
Rearrange -6 + 675*j + 7 - 1 - 2358*j to the form m*j + v and give m.
-1683
Express -60 + 30 - 84 - 42*b + 33*b - 85 as c*b + v and give c.
-9
Express (12 - 129 + 16)*(-3*f**3 - 11*f**3 + 3*f**3) as r*f + k*f**2 + n*f**3 + p and give r.
0
Rearrange 19*i**2 - 17*i**3 - 24*i**3 - 27*i**2 + 9*i**2 + i + 1 + 0*i + i**4 to the form x + y*i + c*i**3 + a*i**2 + w*i**4 and give w.
1
Rearrange 3755*i + 8241*i - 2125*i - 1904*i + 10974*i to the form s*i + q and give s.
18941
Express -1665*t + 485*t**2 - 3*t**3 - 569*t**2 - 2040*t**2 + 1667*t as c*t**3 + n*t + s + p*t**2 and give n.
2
Rearrange 1 + 126*h**4 - 127*h**4 + 114*h**2 + h**3 - 3*h**3 + 25*h**2 to n*h**2 + x + b*h**3 + k*h + l*h**4 and give l.
-1
Rearrange -3*g + 86*g + 10*g - 41*g**2 + 256*g to p + q*g**2 + b*g and give b.
349
Express 2083 + 838 + 584 + 2*x as d + g*x and give d.
3505
Rearrange (13 - 6 - 6)*(430403 - 430403 - 10*m) to the form r + y*m and give y.
-10
Rearrange (2*p**2 - 33 - 24 + 48)*(1 - p - 1)*(-6 - 4 + 5)*(18 - 18 + 2*p) to k*p**4 + z*p**2 + o + l*p**3 + y*p and give k.
20
Express 4*u**3 - 135*u - 52*u + 32942*u**2 - 2*u**3 - 32938*u**2 as b*u + g*u**3 + m*u**2 + j and give j.
0
Express -40*k**4 + 67430*k - 67432*k + 0 + 2 - 2 - 12*k**3 + 2*k**2 as g*k**4 + x*k**2 + b + u*k**3 + c*k and give u.
-12
Rearrange 6*m**3 + 2911*m**2 - 5770*m**2 + 2853*m**2 + 222*m to the form j*m**3 + x + a*m**2 + s*m and give j.
6
Rearrange 27 + 232*k**3 - k**2 + k**2 - 448*k**3 + 294*k**3 to the form y*k**3 + m*k + q*k**2 + r and give q.
0
Express 2487*w + 2147*w + 1803*w - 1428*w + 225 - 226 in the form o + d*w and give d.
5009
Express -l**2 + 58*l + 4 + 1 - 3 - 5*l**4 - 1200*l - 89*l**3 + 91*l**3 as g*l**4 + k + b*l + s*l**2 + q*l**3 and give g.
-5
Express -10 - 54*h**2 + 37*h**2 + 20*h**2 + 11*h in the form q*h + p + m*h**2 and give m.
3
Rearrange -41*n**3 - 108*n**3 - 109 + 148 - 37 + 5*n**2 to h*n**3 + t*n**2 + w*n + g and give t.
5
Express (4*x + 3*x + 0*x)*(-3 + 7 + 1) + (0 + 18 + 2)*(3*x + 3*x + 7*x) as i + d*x and give d.
295
Express (59*s**3 + 24*s**3 + 348*s**3)*(-s + 2*s - 2*s) + 3*s + 2*s**4 - 3*s as v*s**4 + j*s**3 + u*s**2 + p*s + g and give u.
0
Express (-2*d + 0 + 0 + (-1 - 5 + 5)*(d + 0*d + d))*(-135 - 187 + 111)*(25 - 10 - 11) as r + p*d and give p.
3376
Express 93*u**3 - 300*u + 4*u**2 + u**4 - 90*u**3 + 6 - 3*u**2 - 2 - 6 as r*u**4 + n*u + h*u**3 + j + z*u**2 and give j.
-2
Express (-2788*x**3 + 2361*x**3 + 0*x - 3*x)*(3*x - x - 3*x) as d*x**3 + y*x**4 + k*x + s + l*x**2 and give l.
3
Express -7*c - 2*c + 11450 - 11451 + 0 + 0 - 2*c + (-5 + 2 + 1)*(-5*c + 2*c + 5*c) - 24*c + 0 + 5 - 4 as m + p*c and give p.
-39
Rearrange 2030102*o**2 + 2*o**4 + o + 1 + 50*o**3 - 2030107*o**2 - 4 to the form f*o**2 + v*o + s*o**4 + t + c*o**3 and give f.
-5
Express -1417*w**2 + 713*w**2 - 84*w**3 + 705*w**2 + 5*w**4 in the form h*w**4 + o*w**2 + s*w + p*w**3 + b and give o.
1
Express -x**3 + 820 - 2*x**4 - 449 - 369 + 103*x - 3*x**4 in the form w*x**3 + a + j*x**2 + t*x + g*x**4 and give a.
2
Rearrange -5106*c**2 - 1870*c**2 - 9452*c**2 - 3762*c**2 + 660*c**2 to h + s*c + t*c**2 and give t.
-19530
Express (-856*j**3 + 1609*j**3 - 41*j + 75*j - 855*j**3)*(3* | {
"pile_set_name": "DM Mathematics"
} |
s the second derivative of d(t) wrt t?
-1224*t**2
Let h(n) be the first derivative of -3*n**5/2 + 41*n**4/12 - 9*n - 40. Let m(z) be the first derivative of h(z). What is the third derivative of m(y) wrt y?
-180
Let o(k) = 153*k**2 - 3*k + 64. Let m(t) = 308*t**2 - 5*t + 127. Let y(i) = -3*m(i) + 5*o(i). What is the first derivative of y(b) wrt b?
-318*b
Let j(c) be the second derivative of -c**3/6 - 9*c**2/2 + c. Let s be j(-10). What is the first derivative of 3*a - s - 4 + a + 0 wrt a?
4
Find the second derivative of -4 - 1701*a**2 + 16*a + 849*a**2 + 852*a**2 - 165*a**3 wrt a.
-990*a
Let i(m) be the second derivative of -m**5/10 - 10*m**4/3 - 77*m**3/2 + m**2/2 + 271*m. What is the second derivative of i(w) wrt w?
-12*w - 80
Let p = 1 + -33. Let v be p/(-5) - 24/(-40). Let w(i) = 13*i + 21. Let h(n) = -4*n - 7. Let f(r) = v*h(r) + 2*w(r). What is the derivative of f(x) wrt x?
-2
Let t(v) = -31*v**3 + 7*v + v + 32*v**3 + 10*v**2 - 7. Let h be t(-9). Find the third derivative of 7*s**4 - 5*s**h - 8*s**4 + s - s wrt s.
-24*s
Differentiate -55 + 16*p**4 - 42 + 36*p**4 + 20 wrt p.
208*p**3
What is the third derivative of -223*s - 248*s**6 + 237*s**2 - s**5 + 272*s**6 - 235*s**2 wrt s?
2880*s**3 - 60*s**2
Differentiate 33 + 149*b + 29 - 39*b - 35 + 7 with respect to b.
110
Let p(u) be the first derivative of 73*u**3 - 34*u + 564. What is the first derivative of p(t) wrt t?
438*t
Find the second derivative of 1861*z**2 + 3*z**3 + 55*z + 4*z**4 - 1861*z**2 wrt z.
48*z**2 + 18*z
Let o(b) be the third derivative of 119*b**4/12 - 22*b**3/3 + 30*b**2. What is the first derivative of o(k) wrt k?
238
Suppose 4*v - 7 = 1. Differentiate -12 + 4*b**v - 9*b**3 - 8*b**2 + 4*b**2 wrt b.
-27*b**2
Suppose 12*s - 5*s = -0*s. Let a(p) be the first derivative of 0*p**4 - 7 - 1/2*p**2 + 0*p + s*p**3 - 1/5*p**5. What is the second derivative of a(f) wrt f?
-12*f**2
Differentiate 134*a + 137*a + 149*a**2 + 491 + 130*a + 137*a - 539*a wrt a.
298*a - 1
Suppose 4*p - 30 = -5*w + p, -p = w - 8. What is the second derivative of 5*m**5 + 32*m**5 + 3*m**5 - w*m**5 + 34*m wrt m?
740*m**3
Let q = -21 - -31. Let t = -8 + q. What is the third derivative of -11*h**t - 11*h**4 - 9*h + 9*h wrt h?
-264*h
Let j(b) = -3*b**4 - b**3 + 177*b. Let p(h) = 2*h**4 + 2*h**3 - 178*h. Let a(f) = -3*j(f) - 2*p(f). Find the second derivative of a(r) wrt r.
60*r**2 - 6*r
Let s(u) be the third derivative of 0 + 0*u + 0*u**4 + 7/60*u**5 + u**2 + 1/40*u**6 + 0*u**3. Find the third derivative of s(w) wrt w.
18
Let g(q) = -q**2 + 10*q - 21. Let p be g(6). Let i(n) = -n**2 - 11*n. Let v be i(-11). Find the third derivative of 7*o**2 + v*o**p + 3*o**3 - 2*o**2 wrt o.
18
Let j(x) be the second derivative of -115*x**3/6 - 87*x**2 + 517*x. Find the first derivative of j(r) wrt r.
-115
Let s(m) = -m**3 - m**2 - 1. Let q(j) = -175*j**3 + 3*j**2 - 56. Let b(d) = q(d) + 3*s(d). Differentiate b(k) wrt k.
-534*k**2
Suppose 0 = -4*j - 4*l + 12, -l - 3*l - 8 = -j. Find the second derivative of -j*c**4 - 21*c - c**4 + 6*c**4 wrt c.
12*c**2
Let a = 13 + -13. Let v = a + 2. Differentiate v - 4 - 3*q**2 + 0 wrt q.
-6*q
Let k(v) be the second derivative of -83*v**4/12 - 16*v**2 - 2*v - 70. What is the first derivative of k(j) wrt j?
-166*j
Let n(f) be the third derivative of 1/120*f**6 + 0*f**4 + 0*f + 0 + 0*f**5 + 4*f**2 + 4/3*f**3. Differentiate n(m) with respect to m.
3*m**2
Let u(t) = -t**2 + 4*t + 1. Let v be u(3). What is the third derivative of -12*c**4 + 19*c**2 + 41*c**v + 11*c**2 wrt c?
696*c
Let n(o) be the third derivative of 1/3*o**5 + 0 + 5/42*o**7 + 0*o**4 - 24*o**2 + 0*o**6 + 0*o**3 + 0*o. What is the third derivative of n(z) wrt z?
600*z
Let l be 0/(2/6*-3). Suppose l = k + 3 - 7. Find the third derivative of 2*u**4 + 0*u**2 + k*u**2 - 5*u**4 wrt u.
-72*u
Let v(u) be the second derivative of -u**7/14 - 31*u**4/12 - 2*u**3/3 - 21*u**2/2 - 724*u. Find the second derivative of v(f) wrt f.
-60*f**3 - 62
Let d(q) = q**3 - 8*q**2 + 10*q - 16. Let v be d(7). Differentiate -7*u**2 + 4*u**2 - v*u**2 - 2*u**2 - 8 with respect to u.
-20*u
Suppose 14*a = 16*a - 10. Find the second derivative of j**a - 29*j**2 - 27*j - 31*j**2 + 41*j**2 wrt j.
20*j**3 - 38
Let m be (-14)/21*(-3)/2. Suppose -2*q + 5 = -m. What is the third derivative of i**2 - 4*i**3 - 5*i**2 + 2*i**q wrt i?
-12
Let f(j) = 4 + 0 + 6*j**3 + 0 - 21*j**4 - 19. Let p(c) = 20*c**4 - 5*c**3 + 16. Let g(z) = -5*f(z) - 6*p(z). What is the first derivative of g(o) wrt o?
-60*o**3
Let c = 92 - 90. Find the second derivative of -21*z + 7*z + 3*z + c*z**2 + 25*z**2 wrt z.
54
Let v(j) be the third derivative of 73*j**5/60 - 61*j**3/6 - 10*j**2 + 1. Find the first derivative of v(o) wrt o.
146*o
Let c = 21 - 17. Let u be (1 - 0) + 2 + -1. Find the first derivative of 0 + g**4 - u*g**c + 1 wrt g.
-4*g**3
Let b(s) be the second derivative of 0*s**2 + 1/12*s**4 - 2*s + 11/20*s**5 + 5 - 9/2*s**3. What is the second derivative of b(a) wrt a?
66*a + 2
Let c(p) = -p**2 - 10*p - 4. Let u be c(-9). Differentiate -11*l**2 + l**2 + 6*l**2 + u with respect to l.
-8*l
Suppose 0 = -2*c - 4*j - 8, -8*c = -3*c + 3*j - 8. Differentiate 12 - 24*h + 2*h - 5 + c*h wrt h.
-18
Let r(v) = 3*v + 82. Let b be r(-17). Find the third derivative of b*o**2 + 39*o**6 + 58*o + 63*o - 121*o wrt o.
4680*o**3
Suppose -5*k + 9 = -p - 8, 11 = -3*p + 5*k. Let n be 10/4*(p - 1). Find the third derivative of -n*s**3 + 4*s**3 - 2*s**3 - s**2 + 0*s**2 wrt s.
-18
Suppose 0 = -14*m + 10*m + 16. Find the third derivative of 16*q**2 + 14*q**4 - 18*q**2 - 4*q**m wrt q.
240*q
Suppose -3 = g + 3*v, 3*g = -2*v + 5 - 0. What is the derivative of -6741 + 16*b**g + 13*b**3 + 6733 wrt b?
87*b**2
What is the derivative of 36 + 21 - 41 - 3*s + 3*s**3 + 13*s + 60 wrt s?
9*s**2 + 10
Suppose 4*i - 51 = 41. What is the first derivative of i*h**3 - 11*h**4 + 5 - 23*h**3 wrt h?
-44*h**3
Suppose 7 - 5 = i. Let b = i - -3. Find the third derivative of -2*w**b + 0*w**5 + 3*w**2 - 6*w**2 + 4*w**2 wrt w.
-120*w**2
Let k(w) be the first derivative of -4*w**7/7 - 8*w**4/3 + 7*w - 20. Let l(r) be the first derivative of k(r). What is the third derivative of l(i) wrt i?
-1440*i**2
Let b(u) be the second derivative of 5*u**7/7 + 28*u**3/3 - 10*u + 7. What is the second derivative of b(w) wrt w?
600*w**3
Let x(c) = -c**2 - c - 1. Let b(d) = -22*d**2 + 2*d + 28. Let w(q) = -b(q) - 2*x(q). What is the first derivative of w(g) wrt g?
48*g
Let y(f) be the third derivative of -3*f**4/2 + 38*f**3/3 - f**2 - 51. Find the first derivative of y(k) wrt k.
-36
Let j(p) = 24*p - 24. Let m(v) = 10 + 2*v - 14 + v + v. Let s(b) = 6*j(b) - 34*m(b). What is the derivative of s(d) wrt d?
8
Let i(w) be the first derivative of 5*w**6/6 + 85*w**3/3 + 551*w**2/2 - 661. Find the second derivative of i(a) wrt a.
100*a**3 + 170
Find the third derivative of 52*i**2 + 25 - i**4 + 8*i**6 - 56*i - 54*i**2 - 25 wrt i.
960*i**3 - 24*i
Let w be 6/15 + (-186)/(-10). Let z = 25 - w. Find the second derivative of 8*h + 5*h**2 + z*h - 2*h - 2*h wrt h.
10
Suppose -5*q = -0 - 80. Let r = 20 - q. What is the third derivative of 8*k**2 - 2*k**4 - r*k**6 + 2*k**4 + 5*k**6 wrt k?
120*k**3
Let c(l) be the first derivative of -73*l**3/3 - 26*l + 28. What is the derivative of c(r) wrt r?
-146*r
Let j = 65 + -30. What is the second derivative of 33*s - 59*s - 14*s**2 + j*s wrt s?
-28
Differentiate 547 - 47*i - 93*i - 488 - 27*i wrt i.
-167
Let x(p) = -33*p**3 - 66*p**2 - 1. Let j(o) = o**2 - 1. Let t(n) = -j(n) + x(n). What is the third derivative of t(w) wrt w?
-198
What is the third derivative of -123*l**2 + 74*l**4 - 97*l**4 + 56*l**4 wrt l?
792*l
Let g(h) be the third derivative of 7*h**5/4 + h**4/24 - 25*h**3/3 + 72*h**2. What is the second derivative of g(z) wrt z?
210
Suppose 0 = -13*q + 18*q - 25. Find the second derivative of 4*n - 26*n**q + 39*n + 37*n**5 wrt n.
220*n**3
Let c(s) = 113*s**2 + 8*s + 4. Let j(t) = 117*t**2 + 9*t + 4. Let b(o) = -5*c(o) + 4*j(o). What is the second derivative of b(x) wrt x?
-194
What is the third derivative of -5 - 36*r**2 - 11821*r**4 - r**5 + 32*r**6 + 11821*r**4 - 1 wrt r?
3840*r**3 - 60*r**2
Let y(r) be the third derivative of -21*r**5/5 - 157*r**3/6 + 304*r**2. What is the derivative of y(q) wrt q?
-504*q
Suppose d - 6 + 22 = 0 | {
"pile_set_name": "DM Mathematics"
} |
ivative of -983*h**6/30 - 463*h**2/2 + 11*h - 22. What is the first derivative of w(i) wrt i?
-3932*i**3
Let n(q) = 4 + 37*q + 124*q**3 - 143*q + 71*q. Let t(l) = -121*l**3 + 36*l - 5. Let f(o) = -5*n(o) - 4*t(o). What is the second derivative of f(j) wrt j?
-816*j
Let j = -337 + 341. What is the derivative of -41*u**j + 0*u**3 + 14 - 5*u**3 - 12*u**4 + 6*u**3 wrt u?
-212*u**3 + 3*u**2
Let b(d) be the second derivative of -751*d**5/20 - 57*d**3/2 - d**2 + 68*d. Find the second derivative of b(u) wrt u.
-4506*u
What is the second derivative of -324*d**2 + 16*d**2 - 535*d**2 + 1209*d + 77*d**2 wrt d?
-1532
Let a(f) be the first derivative of -48*f**6 - f**4/2 - 3815*f**2/2 + 624. What is the second derivative of a(i) wrt i?
-5760*i**3 - 12*i
Let h(c) be the second derivative of 36*c**7/7 - 5*c**4/12 - 26*c**2 - 2*c + 114. Find the third derivative of h(u) wrt u.
12960*u**2
Let g(j) be the first derivative of -8*j**4 - 23*j**3/3 - j**2/2 - 66*j - 1357. What is the second derivative of g(u) wrt u?
-192*u - 46
Suppose 5038 = 11*n + 990. What is the first derivative of -224 + n + 9*s**3 - 31*s**3 + 4*s wrt s?
-66*s**2 + 4
Let x(a) = -2*a + 10. Let p be x(-7). What is the derivative of 8*v**2 - p*v**2 + 18*v**2 + 72 - 45*v wrt v?
4*v - 45
Find the second derivative of 400429*k**2 - 9 + 30*k - 399358*k**2 + 36 wrt k.
2142
Let n(w) be the second derivative of -w**6/10 - 113*w**5/5 + 3*w**4/4 - 19*w**3/6 - 3297*w. Find the third derivative of n(s) wrt s.
-72*s - 2712
Let p(x) be the third derivative of -99*x**7/35 - 1385*x**4/24 + 1007*x**2 - x. Find the second derivative of p(q) wrt q.
-7128*q**2
What is the third derivative of -322347 - 923*t**3 + 161174 + 4702*t**2 + 161173 wrt t?
-5538
Differentiate 383 + 215*m - 1330*m - 565*m with respect to m.
-1680
Suppose 58*h = 50*h + 16. What is the second derivative of -1682*s**h + 1666*s**2 + 0 + s**3 - 21*s + 0 wrt s?
6*s - 32
Suppose 2*a - 4*a = -36. Suppose k = a - 1. Find the first derivative of 3*t**3 - k + 9*t**3 + t**3 wrt t.
39*t**2
What is the third derivative of 11*d**5 + 327*d**2 - 329*d**2 - 5*d**5 - 39 + 50*d**3 - 42*d**3 wrt d?
360*d**2 + 48
Let i(u) be the third derivative of 0 + 42*u**2 - 2*u - 21/8*u**4 - 31/3*u**3 + 0*u**5 - 1/120*u**6. What is the derivative of i(n) wrt n?
-3*n**2 - 63
Let h(z) = z**2 - 29*z + 83. Let s be h(27). Find the first derivative of -s + 9*c**2 + 5*c**2 + 31*c**2 wrt c.
90*c
Let t = 34 + 20. Let o = t - 52. Find the third derivative of 106*u**4 + 25*u**2 - 123*u**4 - 5*u**o wrt u.
-408*u
Let f(m) = 30*m - 93. Let g be f(4). What is the derivative of -53 + 78*i**2 - 64*i**2 - g*i**2 wrt i?
-26*i
Let u(s) be the second derivative of -s**4/6 - 1237*s**3/6 + 1185*s**2/2 - 1474*s. What is the derivative of u(i) wrt i?
-4*i - 1237
Let z(o) = 136*o + 24. Let d(c) = 331 - 250*c + 731*c - 65 + 1017*c. Let t(f) = 6*d(f) - 68*z(f). What is the first derivative of t(g) wrt g?
-260
Let g(v) = -1. Suppose -3*l + 45 = -12*l. Let u(p) = 44*p + 84. Let f(q) = l*g(q) - u(q). Differentiate f(b) wrt b.
-44
Let l(x) be the third derivative of -39*x**7/70 + x**6/8 - 855*x**3/2 + 5090*x**2. What is the derivative of l(c) wrt c?
-468*c**3 + 45*c**2
Suppose -3*u + 30 = 3*u. Let d = u - 3. Find the third derivative of -9 + 7*k**d + 9 + 3*k**3 wrt k.
18
Suppose -s - 2*s = -2*o + 4, 14 = 2*s + 2*o. Suppose -4 = s*g - 8. What is the third derivative of 88*t**2 + 81*t**2 + 6*t**5 - 158*t**g wrt t?
360*t**2
Let x(z) = -6649*z**2 - 34*z + 364. Let m(b) = 950*b**2 + 5*b - 52. Let t(a) = -41*m(a) - 6*x(a). What is the second derivative of t(s) wrt s?
1888
Let h be (-13)/(-4) + (-3)/12. Suppose -6*z = -5*z - h. Find the first derivative of -11 - 40*t**4 + 11*t**4 - z*t**4 wrt t.
-128*t**3
Let j(a) be the third derivative of 2411*a**7/210 + 271*a**5/10 - 34*a**2 + 2. What is the third derivative of j(l) wrt l?
57864*l
Find the third derivative of -2302*p**4 - 604*p**4 - 3661*p**2 + 136*p**4 + 3389*p**2 wrt p.
-66480*p
What is the second derivative of 273 - 268 + 3*y**3 - 5530*y**5 + 38*y - 404*y - 3*y**3 wrt y?
-110600*y**3
Let o = 68 - 65. Let h(l) be the first derivative of -19*l + 25 - 7*l**3 - 27 - 15 + o*l**3. What is the derivative of h(g) wrt g?
-24*g
Let g(w) = 221*w**2 - 2993*w + 28511. Let y(v) = 138*v**2 - 1996*v + 19007. Let d(f) = 5*g(f) - 8*y(f). Differentiate d(s) wrt s.
2*s + 1003
Let b(z) be the first derivative of 0*z**4 + 0*z**2 + 0*z - 7/5*z**5 - 68*z**3 - 10. What is the third derivative of b(p) wrt p?
-168*p
Let v(l) = -2*l**2 - 7*l + 8. Let h be v(4). Let i be (-216)/h - 4/26. What is the third derivative of a**4 + 2*a**4 - 3*a**4 + a**i - 24*a**2 wrt a?
24*a
Let d(i) = 1247*i**5 - 2*i**2 - 517*i + 1. Let a(r) = 2496*r**5 - 3*r**2 - 1034*r + 1. Let w(s) = 3*a(s) - 5*d(s). Find the second derivative of w(m) wrt m.
25060*m**3 + 2
Let s(h) = 3258*h**4 + 5819*h**2 + 4. Let k(z) = 6515*z**4 + 11639*z**2 + 7. Let b(x) = 4*k(x) - 7*s(x). What is the third derivative of b(v) wrt v?
78096*v
What is the second derivative of 202*k - 645*k - 199*k**3 - 177*k**3 - 601*k + 265*k**3 wrt k?
-666*k
Let r(v) = 19685*v**2 - 16*v + 26261. Let y(a) = -26247*a**2 + 22*a - 35014. Let z(g) = -11*r(g) - 8*y(g). What is the derivative of z(m) wrt m?
-13118*m
Let i(j) be the first derivative of 0*j**2 + 23 + 103/3*j**3 + 43/4*j**4 + 0*j. What is the third derivative of i(y) wrt y?
258
Let h(u) be the second derivative of 29/6*u**3 + 230*u + 0*u**2 - 137/12*u**4 + 0. Find the second derivative of h(l) wrt l.
-274
What is the second derivative of -60 - 73*m + 65*m - 1004*m**2 - 26 + 2832*m**2 wrt m?
3656
Let l(c) = 4*c + 1. Let i(h) = -299 + 8*h - h - 6*h + 298. Let b = 14 - 8. Let d(g) = b*i(g) - l(g). What is the first derivative of d(k) wrt k?
2
Let f be -61 + (6/8)/(3/12). Let w = f + 82. Find the second derivative of 21*x**3 - w*x - 4*x - 7*x - 2*x**3 wrt x.
114*x
Let v = 127 - 125. Suppose -s = -3*g + 27 + 95, -8 = -v*s. Find the second derivative of -g*w + 50*w**2 + 49*w**2 - 110*w**2 wrt w.
-22
Let u(p) be the third derivative of 2*p**7/35 + 2*p**5/15 - 571*p**4/8 + p**3/3 + 2*p**2 - 88*p. What is the second derivative of u(l) wrt l?
144*l**2 + 16
Let s(c) = 2*c**2 + 6*c + 6. Let w be s(-3). Suppose -t + 2 = d, 2*d + w*t - t = -5. Find the second derivative of d*f**2 - 38*f**2 - 8*f - 10*f wrt f.
-66
Let g(p) be the first derivative of 117/2*p**2 - 16*p + 109. What is the first derivative of g(w) wrt w?
117
Let d(r) = -5094*r + 8725. Let t(x) = 5093*x - 8754. Let n(a) = 4*d(a) + 5*t(a). Differentiate n(z) wrt z.
5089
Let y(w) = 2*w**2 - 1. Let f(i) = -4278*i**4 - 4215*i**2 - 14. Let z(a) = f(a) - 14*y(a). What is the third derivative of z(o) wrt o?
-102672*o
Let q(x) be the first derivative of 5*x**6/2 + 23*x**4/4 - x**3/3 - 144*x**2 + 4*x + 1042. What is the third derivative of q(p) wrt p?
900*p**2 + 138
Let q(l) be the third derivative of -257*l**5/6 - 515*l**3/2 - l**2 + 516. What is the first derivative of q(i) wrt i?
-5140*i
Find the first derivative of 72318 - 71855 + 334*u - 984*u wrt u.
-650
Suppose -5*d + 12 = -48. Suppose 4*i + 64 = 4*t, 4*t + 3*i - 35 - 8 = 0. What is the derivative of t - 7 + d*w**2 + 9 wrt w?
24*w
Let b(l) = -11*l**3 - 31*l**2 - 179*l + 8. Let q(n) = -11*n**3 - 30*n**2 - 178*n + 6. Let o(t) = -3*b(t) + 4*q(t). Find the second derivative of o(h) wrt h.
-66*h - 54
What is the third derivative of 107*h**4 + 71*h**4 - 7184*h**2 + 193*h**4 - 2*h**3 + 3*h**6 + 37*h**4 - 11*h**4 wrt h?
360*h**3 + 9528*h - 12
What is the derivative of -1029 - 643 + 2781*n**4 - 542 - 410 + 396 - n**3 wrt n?
11124*n**3 - 3*n**2
Let t = -259 - -264. What is the third derivative of -5*g**2 - 17*g**2 + 16*g**2 + 17*g**t - 3 wrt g?
1020*g**2
Find the first derivative of 871*k**4 + 788*k**4 + 7987 - 4477*k**4 - 1864*k**4 - 5334*k**4 wrt k.
-40064*k**3
Let u(k) = 29*k - 5. Let n be u(4). Suppose -36 = -7*q + n. What is the third derivative of 11*x**2 + q*x**5 - 14*x**2 + 25*x**2 wrt x?
1260*x**2
Let x(m) be the first derivative of 1541*m**4/2 + 8860*m - 6019. What is the derivative of x(p) wrt p?
9246*p**2
Let m = -4224 - -4323. Let u be 1 + -2 - 2*-2. Find the third derivative of c**3 - 22*c**2 - m*c**4 - c**u + 90*c**4 wrt c.
-216*c
Let l(i) be the first derivative of 2761*i**4/2 + 3748*i - 3 | {
"pile_set_name": "DM Mathematics"
} |
and 2 o when three letters picked without replacement from {w: 1, p: 1, n: 3, o: 10}.
9/91
Four letters picked without replacement from ppapzez. What is prob of picking 3 z and 1 p?
0
Three letters picked without replacement from khokfhwkofkohwk. Give prob of picking 2 w and 1 h.
3/455
Two letters picked without replacement from {l: 2, w: 3, u: 1, c: 4, y: 2, q: 2}. Give prob of picking 1 c and 1 y.
8/91
Three letters picked without replacement from {o: 2, m: 18}. What is prob of picking 2 m and 1 o?
51/190
Two letters picked without replacement from {f: 3, k: 4}. Give prob of picking 1 k and 1 f.
4/7
Calculate prob of picking 1 d and 2 o when three letters picked without replacement from oddddojjjjddoofooo.
21/136
Three letters picked without replacement from {u: 3, b: 1, q: 6, z: 5, n: 2}. Give prob of picking 3 u.
1/680
Four letters picked without replacement from {t: 1, p: 2, e: 1, u: 2, o: 1}. Give prob of picking 2 p, 1 o, and 1 t.
1/35
What is prob of picking 1 n and 1 o when two letters picked without replacement from {v: 10, n: 4, o: 3, x: 3}?
6/95
Three letters picked without replacement from {c: 1, s: 1, k: 1, r: 1, u: 2, a: 2}. What is prob of picking 1 a, 1 k, and 1 r?
1/28
Calculate prob of picking 2 n when two letters picked without replacement from {n: 7, b: 7}.
3/13
Calculate prob of picking 1 a, 1 v, and 1 r when three letters picked without replacement from {a: 8, r: 1, v: 1, i: 4, z: 3}.
1/85
Four letters picked without replacement from vvvvvv. What is prob of picking 4 v?
1
What is prob of picking 1 x and 1 g when two letters picked without replacement from xvgvvggggxvxgxxg?
7/24
Two letters picked without replacement from {o: 1, b: 2, g: 1, t: 2, a: 2, l: 1}. What is prob of picking 1 t and 1 a?
1/9
Three letters picked without replacement from {x: 9, l: 1, a: 1, d: 6}. What is prob of picking 1 a and 2 d?
3/136
Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {a: 1, g: 5, i: 3, f: 1, o: 2, x: 1}.
5/78
Four letters picked without replacement from {k: 9, e: 2}. Give prob of picking 1 e and 3 k.
28/55
Three letters picked without replacement from jjjjaqaajaaqjjjj. Give prob of picking 3 j.
3/20
What is prob of picking 1 o, 1 e, and 1 s when three letters picked without replacement from eqeopse?
3/35
Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {y: 1, m: 1, z: 2}.
1/3
Three letters picked without replacement from sxwxxxxxxksqwxxqxxs. What is prob of picking 1 s and 2 w?
1/323
Two letters picked without replacement from {k: 11, c: 3}. Give prob of picking 2 k.
55/91
Calculate prob of picking 2 x when two letters picked without replacement from ffxxx.
3/10
Four letters picked without replacement from {a: 4, n: 9, d: 1}. Give prob of picking 1 a and 3 n.
48/143
Three letters picked without replacement from {r: 2, j: 3, k: 1, a: 1, y: 1, f: 3}. Give prob of picking 1 f and 2 j.
3/55
Calculate prob of picking 3 x when three letters picked without replacement from xjxxxxjxjjxxjjxxxx.
55/204
Two letters picked without replacement from {m: 3, s: 2, v: 2, j: 4}. Give prob of picking 1 s and 1 j.
8/55
Three letters picked without replacement from eeexeeiexneniefen. Give prob of picking 1 f and 2 i.
1/680
Three letters picked without replacement from phhhphufuhpvhhuvhv. Give prob of picking 1 v, 1 p, and 1 h.
3/34
Three letters picked without replacement from {s: 1, w: 2, h: 3, z: 8, r: 1, j: 3}. Give prob of picking 1 j, 1 r, and 1 s.
1/272
Two letters picked without replacement from {c: 1, b: 2, i: 1, f: 3}. Give prob of picking 1 b and 1 i.
2/21
Two letters picked without replacement from oggoogeeggeoo. What is prob of picking 1 g and 1 o?
25/78
Two letters picked without replacement from ccgctucuuqgqggotouc. What is prob of picking 1 g and 1 c?
20/171
What is prob of picking 1 r and 3 l when four letters picked without replacement from rlqlqrlrl?
2/21
Two letters picked without replacement from nnppnynw. Give prob of picking 1 w and 1 p.
1/14
What is prob of picking 1 n and 1 z when two letters picked without replacement from sszseozssszoozszznz?
7/171
Three letters picked without replacement from {z: 14, j: 2, l: 1}. What is prob of picking 2 z and 1 l?
91/680
Three letters picked without replacement from tkttkkktkkttk. Give prob of picking 2 t and 1 k.
105/286
Two letters picked without replacement from awwca. What is prob of picking 2 a?
1/10
Three letters picked without replacement from lwwwlkwwwlkwlwwllww. What is prob of picking 2 w and 1 k?
110/969
Three letters picked without replacement from jjbbbbjbbbjbjjbjbbb. Give prob of picking 3 b.
220/969
What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, l: 2, y: 2, b: 1}?
2/15
Calculate prob of picking 4 y when four letters picked without replacement from yyyyycycyyyycc.
30/143
Two letters picked without replacement from sytwxyxsssxwwsystwz. What is prob of picking 1 y and 1 z?
1/57
Four letters picked without replacement from nenrrnnrenerenn. Give prob of picking 4 n.
1/39
Four letters picked without replacement from wwmoyyyxwyyxxxxxmyy. Give prob of picking 3 w and 1 o.
1/3876
Three letters picked without replacement from ttltbatalaaalalaaatl. Give prob of picking 2 a and 1 t.
3/19
Calculate prob of picking 3 v and 1 e when four letters picked without replacement from {e: 5, v: 15}.
455/969
What is prob of picking 2 h when two letters picked without replacement from jfjjhtjtthtth?
1/26
What is prob of picking 1 f and 1 p when two letters picked without replacement from {g: 1, e: 4, f: 2, v: 2, p: 1, b: 5}?
2/105
Calculate prob of picking 2 o when two letters picked without replacement from hkhkkhakkakaooahak.
1/153
Two letters picked without replacement from {w: 3, k: 1}. What is prob of picking 2 w?
1/2
Three letters picked without replacement from {a: 2, j: 5, w: 3}. What is prob of picking 3 w?
1/120
Three letters picked without replacement from oiiooooiooaooqo. What is prob of picking 1 i and 2 o?
27/91
Three letters picked without replacement from kkkk. Give prob of picking 3 k.
1
What is prob of picking 2 e when two letters picked without replacement from {e: 4, g: 6, v: 1, d: 2}?
1/13
Three letters picked without replacement from {k: 3, f: 7}. Give prob of picking 3 f.
7/24
Two letters picked without replacement from mmmkcckmcmcmccc. What is prob of picking 1 k and 1 m?
4/35
What is prob of picking 1 n and 1 l when two letters picked without replacement from hmhsmnhlsmnll?
1/13
What is prob of picking 2 x when two letters picked without replacement from {x: 7, z: 2, p: 1, k: 4}?
3/13
What is prob of picking 1 p and 2 r when three letters picked without replacement from {q: 1, k: 1, p: 4, g: 1, r: 2}?
1/21
Three letters picked without replacement from {q: 1, u: 3, e: 2, w: 2, y: 4, v: 3}. Give prob of picking 2 v and 1 e.
6/455
Calculate prob of picking 2 q, 1 i, and 1 c when four letters picked without replacement from qhhccnnihooq.
2/495
Two letters picked without replacement from {h: 7, l: 9}. What is prob of picking 1 h and 1 l?
21/40
Three letters picked without replacement from {s: 3, r: 4}. Give prob of picking 2 s and 1 r.
12/35
Calculate prob of picking 2 q, 1 i, and 1 o when four letters picked without replacement from {m: 4, q: 2, u: 3, o: 1, i: 1}.
1/330
Four letters picked without replacement from {f: 9, o: 4, c: 4}. What is prob of picking 2 f and 2 c?
54/595
What is prob of picking 4 w when four letters picked without replacement from {w: 6}?
1
Calculate prob of picking 3 d when three letters picked without replacement from zaazalaaalaedcd.
0
Four letters picked without replacement from xoxvvvovoovvvvvvvx. Give prob of picking 2 o and 2 x.
1/170
Three letters picked without replacement from {i: 2, x: 7, n: 9}. Give prob of picking 1 x and 2 i.
7/816
What is prob of picking 2 g and 1 v when three letters picked without replacement from gvvvgg?
9/20
Three letters picked without replacement from {b: 4, n: 3, z: 4, p: 1, r: 1}. Give prob of picking 1 b and 2 n.
6/143
Two letters picked without replacement from {u: 13, z: 5}. Give prob of picking 1 z and 1 u.
65/153
What is prob of picking 1 k and 2 e when three letters picked without rep | {
"pile_set_name": "DM Mathematics"
} |
/13)*c) assuming c is positive.
c**(-28667/3198)
Simplify ((((l*l*l**(5/3)*l)/l)/l*l**(2/9))/(l**4/l**5))**(2/95) assuming l is positive.
l**(14/171)
Simplify (d/d**12*d**(-2/21)/d)**47 assuming d is positive.
d**(-11938/21)
Simplify (m/m**(-2/11))**(-1)*(m/m**(-3))**(-12/7) assuming m is positive.
m**(-619/77)
Simplify (m**16/m)/(m/m**(-1/22)*m)*m**(3/2)/m**(1/2) assuming m is positive.
m**(307/22)
Simplify (k*k/k**6)**(-4/11)*(k**(-8/7))**(6/5) assuming k is positive.
k**(32/385)
Simplify y/(y/y**(-1/4))*y*y*y**(-12)/y*y*y*y**(2/3)*y/(y*y/(y**(2/23)/y)) assuming y is positive.
y**(-2897/276)
Simplify (o**(-18)*o**(-22))/(((o/((o/o**(-6/5)*o)/o))/o)/(o*o**(5/14)/o*o*o)) assuming o is positive.
o**(-2481/70)
Simplify (a**(2/11)*a)**(-1/17)*(a*a**(-1/10)*a)/(a*a*a**(1/2)/a) assuming a is positive.
a**(309/935)
Simplify o**(-1/4)*o**(-8)*o*o*o*o**(-1/10)*o*o**(1/2) assuming o is positive.
o**(-77/20)
Simplify (n**(6/7)*n**(14/5)*n*n)/(n**(-3/8))**(4/3) assuming n is positive.
n**(431/70)
Simplify (((o**1)**(1/7))**(-16/5))**(-3/44) assuming o is positive.
o**(12/385)
Simplify (d**(-1/7)*d**(1/25))/(d*d*d*(d*d**(-1/3)*d)/d*d*d*d)**27 assuming d is positive.
d**(-31518/175)
Simplify (((u/(u*u**2)*u)/u)/((u/(u*u**(3/8)))/u))/((u/(u*u**(5/2)))/u)**50 assuming u is positive.
u**(1395/8)
Simplify j**(-13/3)*j**14/j*j**(-23)/(j*j**(-23)/j) assuming j is positive.
j**(26/3)
Simplify (((j*j**(-4/7))/j*j*j)/(j*j*j/(j/(j/(j*j**(3/8))*j))*j*j*j)*j**7*j*j*j**(1/9))**(-8) assuming j is positive.
j**(-2477/63)
Simplify ((q**0*q)**(19/2)/(q/(q*q/((q**(-1/4)*q)/q)*q*q))**(3/7))**(-39) assuming q is positive.
q**(-11895/28)
Simplify ((d*(d/d**28)/d*d)/(d**(-24)/d*d))/(d/(((d/(d*d**(21/5)/d*d))/d)/d)*d**41*d) assuming d is positive.
d**(-256/5)
Simplify (p**6*p*p*p*p**(-2/3)*(p/(p**2*p))/(p*p**(3/2)))**17 assuming p is positive.
p**(391/6)
Simplify ((w**(2/33)*w**0*w)/(w**(-3/5))**(-2/13))**(-4) assuming w is positive.
w**(-8308/2145)
Simplify ((p*p/(p/p**(-13)*p)*p**(2/15))**(-16))**(-2/23) assuming p is positive.
p**(-6176/345)
Simplify (((p*p*p**(-2/7))/(p*(p/(p*p**4*p))/p))**16)**(-2/5) assuming p is positive.
p**(-1504/35)
Simplify (m**(-2))**(-3)*((m*((m**5*m)/m*m)/m)/m)**(-2/3) assuming m is positive.
m**(8/3)
Simplify (m/m**(2/3))/m*m**(3/4)*m**(-3)*m*m**(-17) assuming m is positive.
m**(-227/12)
Simplify ((((y**(1/4)/y)/y)/y)**(-1/7)/((y*y**(-1/3)/y)/y)**(-1/13))**(23/5) assuming y is positive.
y**(7291/5460)
Simplify (z/((z/z**(-12))/z)*z*z/(z/z**(3/23)))/((z*z**(9/8)*z)/((z*z*z/z**(-31))/z)) assuming z is positive.
z**(3681/184)
Simplify (q/(q*q**3*q))**(-6/23)*q/(q/(q/q**(-17)))*q*q/(q**(-16)*q) assuming q is positive.
q**(829/23)
Simplify ((x/x**(-8/5)*x*((x*x/(x/x**(-3)))/x*x)/x)/(x*x/(x*x*x*(x*x**(-3))/x)*x*x**(8/7)))**(29/4) assuming x is positive.
x**(-899/35)
Simplify (k*k*k**26*k)/(k/k**21)*k**(1/34)*k*k**15 assuming k is positive.
k**(2211/34)
Simplify (n**(3/4)/n*n)**(-10)*(n*n*n**(3/4)*n)/((n**(-7/5)/n*n)/n*n) assuming n is positive.
n**(-47/20)
Simplify (r/r**(-5)*r/(r*r**(-8/9)*r*r))/((r*r*r*r/r**22*r)/r**(7/2)) assuming r is positive.
r**(457/18)
Simplify (y**(-16)*(y/(y/(y/(y**(-3/7)*y)*y*y)*y))/y*y*y)/(y**(-10/11)/(y*y/y**(2/3)*y)) assuming y is positive.
y**(-2386/231)
Simplify s**(4/27)/(s*s**(1/29)*s*s)*(((s/(s**(1/16)*s))/s)/s)**(-14) assuming s is positive.
s**(162793/6264)
Simplify (v**(1/2)/v)**(-13/6)*(v*v*v**(2/45)/v)/v*(v*v*(v/(v/((v**(-1/11)*v)/v*v)))/v*v)/v assuming v is positive.
v**(6013/1980)
Simplify (d**(-3/8)*d*d*d/d**(2/43))**(10/3) assuming d is positive.
d**(4435/516)
Simplify t/(t/t**2)*t**(5/4)*t*(t**(1/4))**(-7) assuming t is positive.
t**(5/2)
Simplify (f**(-12/11))**(4/11)/((f/((f**(-18/11)/f*f)/f))/f*f)**44 assuming f is positive.
f**(-19408/121)
Simplify (h*(h/h**6)/h*h*h/(h/(h*h/h**9))*h**(1/2)/h**(-5))**(-2/69) assuming h is positive.
h**(11/69)
Simplify ((f**(-1/3)/f)/f)/f**(-5)*f**(-1/2)/(f/((f*f/(f**(-12)*f))/f)) assuming f is positive.
f**(79/6)
Simplify (((c**(6/5)*c)/(c/(c*c*c**4)))/((c/(c**(-2/5)/c))/c)**8)**(5/4) assuming c is positive.
c**(-5)
Simplify o**13*o**26*o*(o**(1/2))**3 assuming o is positive.
o**(83/2)
Simplify ((a**(-7)*a/a**(-11))/(a/a**3*a*a*a**(-13)))**(2/31) assuming a is positive.
a**(36/31)
Simplify (l/l**(3/7))**(1/51)*(l/(l/l**(1/7)))**(-7) assuming l is positive.
l**(-353/357)
Simplify (n**(-1/11)*n*n*n**(-2)*n)/(n**6)**39 assuming n is positive.
n**(-2564/11)
Simplify (t**(4/11)/t)**(-2/29)/(t**(-2/53)*t/(t*t*t**(-1/13)*t)*t) assuming t is positive.
t**(220824/219791)
Simplify ((k/(k/(k/(k*k**(-9)))))/(k**12/k))/(k*k*k*k**(-16)/k)**19 assuming k is positive.
k**264
Simplify (b*b**6*b)**(1/33)/(b*b**(-1/2)*b)**15 assuming b is positive.
b**(-1469/66)
Simplify ((((b*b/(b*b**(-6)))/b)/b*b**(-2))**38)**35 assuming b is positive.
b**3990
Simplify (u**(2/17)/u)/u**(4/13)*(u/(u**(1/8)*u)*u*u)/(u*(u*(u**(-11)*u)/u)/u) assuming u is positive.
u**(18891/1768)
Simplify (a**(3/20)/(a/(a**28*a)))/((a*a*a/a**(-35)*a*a)/a**(-31)) assuming a is positive.
a**(-857/20)
Simplify ((k**(-4/5)*k)/k**(-1)*k*k**(4/3)*(k*k*k/(k*k/((k/k**(1/10))/k)))/k*k)**(-35) assuming k is positive.
k**(-931/6)
Simplify (i**(-3/5))**(3/43)/(i**(-2/15))**(-20) assuming i is positive.
i**(-1747/645)
Simplify h/h**(-2/7)*h*((h/h**(5/4))/h*h)/h*(h**(2/5))**(9/4) assuming h is positive.
h**(271/140)
Simplify (t**(-3))**(-11/7)*t/((t*t/t**(-1/7)*t*t)/t*t)*(t/(t/(t**(-5)*t))*t)/t assuming t is positive.
t**(-17/7)
Simplify ((u*u/u**(1/7)*u)/u)**(6/35)*u**(2/11)/((u/u**(-3/4)*u)/u) assuming u is positive.
u**(-13473/10780)
Simplify (((l**6*l)/((l/((l/(l*l/l**(1/2)))/l))/l*l))/(l/l**(-1/7)*(l/(l/l**(2/25)))/l))**(-47) assuming l is positive.
l**(-70359/350)
Simplify (p**10*p)/(p*p**(-4))*(p*((p*p**(-3/7))/p)/p)**(2/89) assuming p is positive.
p**(8716/623)
Simplify (t*t**(-2/11)/t*t)**(-33)/((t**21/t)/(t**(-11)*t)) assuming t is positive.
t**(-57)
Simplify (d**10)**(-11)/((d/(d*d**(-3/8)/d))/(d/d**42*d)) assuming d is positive.
d**(-1211/8)
Simplify (i**17/(i**(-2/41)/i*i))/(i**(2/23)/i)**(-16/9) assuming i is positive.
i**(43639/2829)
Simplify (((z**(-1)*z)**(-1/10))**44)**(-8/5) assuming z is positive.
1
Simplify c**(-2/21)/c*c**(-5/4)*(c*c**(-2/7)/c*c)**35 assuming c is positive.
c**(1903/84)
Simplify (((v/v**(6/19)*v)/((v/(v/(v/(v*v*v**23))))/v*v*v))**38)**37 assuming v is positive.
v**34706
Simplify (g**(-1)/g**(2/17))/(g**(-2/31)/(g*g**(-5/3))) assuming g is positive.
g**(-2719/1581)
Simplify ((r*(r/(r*r*r**(2/17))*r)/r*r*r**11*r)/((r/((r**(-8)*r)/r*r*r)*r*r)/(r*r**(1/6))))**28 assuming r is positive.
r**(7210/51)
Simplify ((l**(2/15)*l)/l)**(1/24)/(l**(3/5))**(1/13) assuming l is positive.
l**(-19/468)
Simplify o/(o*o**(-3/4)/o*o*o)*o**15*o**(-6/23)/((o*o**(-19)*o)/o) assuming o is positive.
o**(2989/92)
Simplify (o*o**(-2/7))**(-13/5)/(o*(o*(o/(o/(o**(-1/2)*o)))/o)/o)**(2/3) assuming o is positive.
o**(-46/21)
Simplify u**4/(u/u**5*u)*((u/(u**3*u))/u*u)**26 assuming u is positive.
u**(-71)
Simplify (b**(12/13)*b*b/(b/(b**(2/33)/b)))/(b/((b/(b/b**9))/b)*b*b)**(-19) assuming b is positive.
b**(-40333/429)
Simplify (z/(z*z**(-4)/z*z))**(41/5)/(z**4*z*z**(9/4)/z) assuming z is positive.
z**(531/20)
Simplify (c**38/(c/(c*c*c**(17/3)*c*c)))**(-2/35) assuming c is positive.
c**(-8/3)
Simplify (t**(1/18)/(t**(9/4)/t))/(t**15/(t*t*t/((t/(t*(t*t/(t*t**(-4/3))*t)/t))/t))) assuming t is positive.
t**(-355/36)
Simplify ((b/(((b/b**3)/b*b)/b))/b*b*b/(b/b**(-4/5)))/(b**(1/3))**36 assuming b is positive.
b**(-44/5)
Simplify (c**(3/7)*c)**(-11/5)/((c**(-3/2)/c)/(((c/c**(2/7))/c)/c)) assuming c is positive.
c**(-27/14)
Simplify ((o**0/o)/o**(-1/5))/(o**(-1/31)/o**(1/4)) assuming o is positive.
o**(-321/620)
Simplify ((g*((g*g**28/g*g)/g)/g*g**(-4))**(-11/5))**(-41) assuming g is positive.
g**(10824/5)
Simplify (((l*l*l**(-1/13))/l**(-5))**46)**(3/19) assuming l is positive.
l**(12420/247)
Simplify (a**(-7/4)*a)/a**(1/2)*a**(-5)*a*a**7 assuming a is positive.
a**(7/4)
Simplify (t*(t/t**3*t)/t*t*t)**5*t/(t*t**(-3/8))*t*t**0 assuming t is positive.
t**(51/8)
Simplify ((s/(s**(-4/7)/s))/s*s**(4/7))/(s**(-1/4))**(-14) assuming s is positive.
s**(-19/14)
Simplify (s**(-6/5)/(s*s/s**(-14)))/(s**2)**(1/34) assuming s is positive.
s**(-146 | {
"pile_set_name": "DM Mathematics"
} |
883 (base 9) in base 8?
-546626
What is 45515a (base 12) in base 10?
1107862
Convert -1b6a9 (base 12) to base 3.
-2001212210
Convert 344331344 (base 6) to base 3.
102222202211001
What is -113220131322 (base 4) in base 16?
-5e877a
Convert 7119d9 (base 14) to base 16.
3a1a8b
1013134 (base 7) to base 6
2332521
135122 (base 6) to base 14
493c
-21054411 (base 8) to base 12
-16001a1
Convert -8671447 (base 9) to base 4.
-101233330231
-121181 (base 11) to base 4
-232312002
Convert -62360301 (base 7) to base 3.
-100212022000210
What is 400473 (base 8) in base 4?
200010323
-937b8 (base 16) to base 10
-604088
Convert -7a8699 (base 11) to base 10.
-1285249
-13053 (base 9) to base 13
-4008
21a754 (base 13) to base 12
323855
-10101110000010010000110 (base 2) to base 3
-101201201202110
Convert 330021123 (base 4) to base 2.
111100001001011011
What is 413330 (base 7) in base 2?
10001010010101010
Convert -22250302 (base 6) to base 9.
-1238332
Convert -10020230043 (base 5) to base 7.
-150255335
152363 (base 13) to base 3
222101001012
-27133 (base 12) to base 9
-81653
Convert 102220121011101 (base 3) to base 16.
6096a9
What is 3031215 (base 6) in base 3?
21022202002
-256741 (base 9) to base 5
-14442011
Convert 52140 (base 13) to base 12.
71390
-430422022 (base 5) to base 9
-3360056
1020211102202020 (base 3) to base 16
1125708
What is 2b0d6 (base 14) in base 10?
107204
-1341145 (base 7) to base 6
-3452311
1565b9 (base 15) to base 12
41a4a9
What is -37d6b (base 16) in base 15?
-47b7a
Convert -273c51 (base 13) to base 7.
-11041113
111201021112 (base 3) to base 15
54ea8
Convert -136474 (base 8) to base 16.
-bd3c
Convert 1256 (base 9) to base 6.
4210
What is -627357 (base 8) in base 16?
-32eef
What is 2258660 (base 9) in base 12?
4aa139
-201112222121 (base 3) to base 9
-645877
Convert 1110111110011110 (base 2) to base 4.
32332132
Convert -e976c (base 16) to base 8.
-3513554
Convert -3b3c64 (base 15) to base 16.
-2b74af
Convert 4413020 (base 5) to base 11.
52120
What is -419bd (base 14) in base 9?
-261172
10111011000100000 (base 2) to base 15
1d5a1
1030112122 (base 5) to base 12
898301
-1031321100 (base 4) to base 6
-10501040
2527575 (base 8) to base 12
299311
-1521252300 (base 6) to base 10
-19104876
Convert -1000000110011111001111 (base 2) to base 5.
-1020424402
Convert -404de (base 16) to base 5.
-31412030
Convert -211003242 (base 5) to base 9.
-1573788
What is 29aa225 (base 11) in base 7?
61540033
3311743 (base 8) to base 6
31023323
What is 51143 (base 6) in base 9?
10240
Convert -21200021201 (base 3) to base 14.
-3d0d9
210120211102111 (base 3) to base 15
1019104
Convert -1256541 (base 7) to base 15.
-34100
Convert -adc51 (base 14) to base 16.
-6716f
Convert -10110010010011000 (base 2) to base 14.
-253a8
1361a (base 13) to base 15
aac9
-1515112 (base 7) to base 4
-302100202
What is a7942e (base 16) in base 2?
101001111001010000101110
-3655753 (base 9) to base 12
-7b9156
Convert 101011110001111010 (base 2) to base 12.
87936
-111100000000001110111000 (base 2) to base 10
-15729592
7356c1 (base 16) to base 4
130311123001
3060070 (base 8) to base 16
c6038
Convert -1265326 (base 7) to base 13.
-5b357
Convert -140702 (base 11) to base 10.
-220464
Convert 2424433240 (base 5) to base 2.
10101110000001010110000
515267 (base 8) to base 14
462b5
Convert 14543353 (base 6) to base 10.
511413
What is -10101110110010110 (base 2) in base 15?
-1b7b4
What is -1010000011111100010 (base 2) in base 10?
-329698
b77c7 (base 13) to base 14
88836
Convert -55421264 (base 7) to base 5.
-2210402402
What is -15405 (base 6) in base 9?
-3415
What is -30233131 (base 4) in base 11?
-36235
Convert -377941 (base 12) to base 3.
-1200222112211
Convert -298a2d (base 14) to base 15.
-1d83b5
What is 1822823 (base 10) in base 9?
3377388
What is 3543 (base 14) in base 2?
10010000110111
What is -331234112 (base 5) in base 7?
-15105435
Convert 10110100011001001101001 (base 2) to base 6.
330410225
Convert -b3860 (base 16) to base 3.
-1101100200101
What is -110142 (base 8) in base 5?
-2140322
Convert cbd (base 14) to base 16.
9d7
Convert -83743 (base 10) to base 11.
-57a10
Convert -4325a2 (base 11) to base 5.
-134112011
Convert -30210110333 (base 4) to base 13.
-8b4732
Convert 2474313 (base 10) to base 5.
1113134223
-9b95e (base 15) to base 3
-221010211022
-4e3246 (base 15) to base 5
-1430210031
-36dc8 (base 14) to base 8
-406444
What is -35891d (base 16) in base 12?
-1212479
What is -30001021 (base 4) in base 11?
-33a90
Convert 369313 (base 16) to base 4.
31221030103
What is -1001001111111011 (base 2) in base 16?
-93fb
Convert 141555041 (base 6) to base 10.
2892481
Convert 8ca988 (base 13) to base 15.
45d9a4
-2011121110 (base 3) to base 14
-117dc
What is 321223211 (base 4) in base 6?
5021445
24001012 (base 5) to base 12
a6802
Convert -160132 (base 9) to base 12.
-49025
Convert -150230404 (base 6) to base 11.
-1827268
Convert -14081886 (base 9) to base 8.
-32436764
Convert 26510151 (base 7) to base 10.
2439501
What is 394988 (base 10) in base 11?
24a840
What is 975b3 (base 13) in base 12?
11228b
Convert -110001001111110110 (base 2) to base 16.
-313f6
-122555332 (base 6) to base 9
-4425782
Convert -2032000032 (base 4) to base 3.
-1002112212110
-403421444 (base 5) to base 3
-10001110211222
-71a155 (base 14) to base 3
-21012122000000
Convert 3311321243 (base 5) to base 16.
6ce24f
Convert a38023 (base 11) to base 4.
12112201102
1020202311 (base 4) to base 15
5d096
Convert 1111010011101110010 (base 2) to base 13.
147420
Convert -11203042 (base 5) to base 6.
-2052445
What is -210102 (base 8) in base 15?
-159b8
What is 6360a (base 12) in base 11?
8a033
Convert 36431 (base 13) to base 3.
12001121012
What is -112120222 (base 4) in base 14?
-255b4
What is -131232001200 (base 4) in base 5?
-3443300223
What is -105a4 (base 15) in base 8?
-145300
123132433 (base 6) to base 15
3239cc
Convert -4022343 (base 5) to base 4.
-33221202
What is 43112752 (base 8) in base 12?
3103a0a
What is b99055 (base 12) in base 15?
3d0de8
Convert 22111000201012 (base 3) to base 12.
1614905
Convert -20223032202 (base 4) to base 5.
-1040233320
Convert 5536048 (base 11) to base 14.
140c661
499593 (base 12) to base 8
4444377
What is -cb03b (base 14) in base 3?
-220221211200
What is -8816 (base 15) in base 13?
-10170
Convert -1442404 (base 9) to base 13.
-21b212
Convert 2120051 (base 6) to base 10.
103711
-21a21a (base 11) to base 8
-1254154
What is 2011066 (base 7) in base 13?
844a8
Convert -15400532 (base 7) to base 4.
-11221021310
Convert 102432141 (base 6) to base 8.
6714035
Convert -3a6811 (base 12) to base 15.
-141094
What is -100100011101111001 (base 2) in base 4?
-210131321
613b8 (base 16) to base 15
7d00e
Convert 461743 (base 8) to base 15.
3162d
Convert 14081 (base 12) to base 16.
6c61
What is aadd (base 16) in base 4?
22223131
-3a4615 (base 13) to base 8
-5300435
77a7 (base 12) to base 15
3dc1
Convert 37260 (base 12) to base 14.
1d2d2
-32434230 (base 6) to base 3
-1211020022100
Convert 11110100110101011111 (base 2) to base 15.
14c217
-10650416 (base 7) to base 5
-214432344
Convert -2508884 (base 10) to base 9.
-4643478
What is 2232243 (base 5) in base 6?
503442
Convert -c88e09 (base 16) to base 7.
-216501264
Convert 21ac70 (base 16) to base 4.
20122301300
-123025 (base 7) to base 8
-54201
-10210222010 (base 3) to base 15
-17393
What is -34331201 (base 5) in base 8?
-1132115
-8a493 (base 11) to base 12
-639a8
-1021011120010 (base 3) to base 2
-10100100001100100010
Convert -b993a (base 14) to base 8.
-1555100
What is 278833 (base 14) in base 3?
2120111201022
195e5 (base 16) to base 7
611641
What is 10451330 (base 6) in base 2?
1001101100110100110
-120131033 (base 4) to base 8
-303517
What is 12112011212 (base 3) in base 8?
324320
Convert 2202121331 (base 4) to base 10.
665213
What is 4d478 (base 14) in base 10?
190226
Convert 83183 (base 12) to base 7.
1312314
What is 7299 (base 14) in base 15?
5caa
What is -200322221 (base 4) in base 2?
-100000111010101001
Convert -563c5c (base 13) to base 4.
-13301030233
23522580 (base 9) to base 5
10414024223
38217 (base 9) to base 6
314541
Convert -13412213 (base 5) to base 14.
-38641
What is 2321552 (base 7) in base 13?
a269b
Convert 7714737 (base 8) to base 11.
1194a84
-248414 (base 11) to base 12 | {
"pile_set_name": "DM Mathematics"
} |
i(9)?
20
Let a(b) = -b + 1. Let v be a(-1). Let y = v - -7. Calculate the lowest common multiple of y and 30/7 - (-4)/(-14).
36
Let o = 958/3 + -315. Calculate the common denominator of o and -91/8.
24
Let s = -64/13 + -15/26. What is the common denominator of s and 18/10*(-200)/(-84)?
14
Let p = -3 - -1. Let h be 6/p*(-463)/1. Find the common denominator of -45/11 and h/(-54) + 4/18.
22
What is the common denominator of (20/(-5))/(20/(-22)) and 1?
5
Let i be ((-6)/15)/(2/(-20)). Suppose i = p - 6. Let g = -12 + 34. Calculate the lowest common multiple of g and p.
110
Let s = -2187/2 - -12989/12. Calculate the common denominator of 76/9 and s.
36
Find the common denominator of 19/10 and 36/35 - (-4)/10.
70
Find the common denominator of -11/63 and ((-56)/10 + 5)*(-124)/6.
315
Let r = -13963/6 - -2338. What is the common denominator of r and -107/6?
6
Suppose -20 = u + 4*u - 5*i, 0 = 2*u + 4*i - 22. Suppose u = -z + 11. What is the lowest common multiple of 1 and z?
10
Let w = -41735/24228 + 1/2692. Find the common denominator of 85/32 and w.
288
Let y(k) = 2*k. What is the lowest common multiple of 4 and y(5)?
20
Let o = -542 + 20597/38. Find the common denominator of 74/9 and o.
342
Let u be (2 + -1 - 8) + -2. Let n = u - -1. Find the common denominator of -46/5 and n/12*118/4.
15
Calculate the common denominator of -103/18 and (-15)/(-2 + -3) + (-242)/20.
90
Let a = 194723/42672 - 2/2667. Suppose -5*b + 5 = 10, 0 = -5*k + 3*b - 1067. What is the common denominator of a and (-1)/(-32)*k + 1?
16
Let l be 2/4*-2 - -1. Suppose v - 6 = -l*v. What is the lowest common multiple of 12 and v?
12
Let z be (-7158)/(-16) - (-3)/12. Let o = z + -447. Calculate the common denominator of o and 45.
8
Suppose 0 = -4*z - z + 165. Suppose 0*s - z = -s - 5*p, -4*s + 84 = 4*p. Calculate the smallest common multiple of s and 6.
18
Let f(w) = -w**2 - 22*w - 2. Calculate the lowest common multiple of f(-19) and 5.
55
Let t = 67 - 57. What is the smallest common multiple of 10 and t?
10
Let t = 3273/2 - 1601. Find the common denominator of t and (-6)/(-9) + (301/(-24))/1.
8
Find the common denominator of -15 and 58*(-3)/(-84)*-2.
7
Let q(y) be the third derivative of y**5/15 + y**4/24 + y**3/6 - 3*y**2. What is the least common multiple of q(-1) and 24?
24
Let f = 848/3 + -10945/42. Let d be 546/98 + 3 + 0. Let n = d - f. Calculate the common denominator of -79/2 and n.
2
Let p(m) = -6*m**3 - m**2 - 2. Calculate the smallest common multiple of 2 + (3 - (-13 - -2)) and p(-2).
336
Let p = 604580/8979 + 2/2993. Let r = -665/6 + p. Let k = 7171 + -71623/10. Calculate the common denominator of k and r.
10
Suppose -45 = -5*d + 90. Calculate the lowest common multiple of d and 33.
297
Let g = -2/863 + 128599/5178. Let y = -217 - -1153/6. Calculate the common denominator of y and g.
6
Let v = -113129/5262 - 2/2631. Calculate the common denominator of v and (-1)/(-4) - 174/88.
22
Calculate the common denominator of 67/22 and 70/(-15)*6/(-64).
176
Suppose 4*t = -20, 1 = 2*r + 2*t - 1. Suppose -2*l = -w - 8 - r, 2*l - 2*w = 16. Calculate the lowest common multiple of 12 and l.
12
Let o = 7 - 16. Let s = -2 - o. Calculate the least common multiple of s and 6.
42
Suppose 0*l + 4 = -l. Calculate the common denominator of ((-52)/44)/(2/l) and (114/(-16))/(2/8).
22
Let d be (2 - (7 - 2)) + -30. What is the lowest common multiple of ((-4)/(-6))/((-1)/d) and 6?
66
Let w be 602/(-948) + (-1)/(-2). Let v = w + 13073/3792. Calculate the common denominator of v and -17/16.
16
Let y = -38128/5553 - 14/617. Calculate the common denominator of 81/2 and y.
18
Let k = -1000/253 - -70/23. Find the common denominator of k and (3/6)/((-3)/46).
33
Let l = -1587 + 4801/3. Find the common denominator of l and -69/4.
12
Suppose 0 = -f - 1 + 11. What is the smallest common multiple of 16 and f?
80
Let o(t) = -2*t - 11. Let m be (-3805)/(-3) - (-1)/(-3). Let b = m + -8858/7. What is the common denominator of o(-4) and b?
7
Let g = -545 - 988. Let j be (g/15)/((-176)/(-10)). Let m = j + 35/11. Calculate the common denominator of m and 81/10.
40
Let b(c) = -c**2 - c + 12. Let f be b(-5). Calculate the common denominator of (340/18)/(-4 - f) and 109/18.
18
Suppose t + n = -1531 - 17, -3112 = 2*t - 2*n. Let b = 158/5 - 529/20. What is the common denominator of (1/32)/((-8)/t) and b?
80
Suppose -4 = 2*k - 2. Let s = k + 9. Suppose -47 = 2*w - 61. Calculate the least common multiple of w and s.
56
Let i = -5349 + 74959/14. Find the common denominator of i and -37/8.
56
Let w(q) = -q**3 - 6*q**2 + 8*q + 10. Let z be w(-7). Let p = -1 + z. Calculate the least common multiple of p and 8.
8
Find the common denominator of (-8)/(-48)*200/(-6) and 107/6.
18
Suppose -31 = u - 3*x, 7*u + 134 = 3*u + 2*x. Let c = u + 54. Calculate the lowest common multiple of 20 and c.
20
Let a = 1670799/238 + -815686603/116025. Let o = 2/975 + a. Find the common denominator of o and 81/8.
40
Let z = 28 - 14. What is the smallest common multiple of 1 and z?
14
Let u(v) = v**3 - 7*v**2 - 6*v - 8. What is the smallest common multiple of u(8) and (-1)/3 + 244/12?
40
Suppose w = -0*a - 4*a - 14, 5*w + 2*a = 2. Calculate the lowest common multiple of (8/(-5))/(w/(-5)) and (-1 + 0 + 19)/1.
36
Let r = -105 + 109. What is the least common multiple of 12 and r?
12
Let g = -27 - 51. Let d = -6/175 + 10337/350. What is the common denominator of -1 + g/(-14) + 1 and d?
14
Suppose f + 0*f - 5 = -3*h, -4*f + 34 = -2*h. Calculate the common denominator of 14/f*21/12 and 21/20.
80
Let f = 437/5 - 87. Find the common denominator of f and (-1 - 1)/(20/(-3)).
10
What is the common denominator of (2 - 2 - (-5)/4)/(-2) and -95/178?
712
Suppose 2 + 14 = 4*f. Suppose f*o - 100 = 32. Suppose 5*i - 7 = o. Calculate the least common multiple of 8 and i.
8
Find the common denominator of -21/5 and (0 + 10)*(-1 - 85/(-120)).
60
Calculate the smallest common multiple of (-2)/3 - (-29)/3 and 5/(-15) - (-22)/3.
63
Let u = 5771/10 - 574. What is the common denominator of u and 59/9?
90
Find the common denominator of ((-9)/(-4))/(36/(-39)) and 1*(-2)/4*-17.
16
Suppose x + 0*x = 11. What is the smallest common multiple of x and 9?
99
Let i(a) = -2*a**2 - 10*a - 4. Let j(q) = -q**2 + q + 6. Let y be j(0). Calculate the lowest common multiple of 26/4 - (-3)/y and i(-4).
28
Let n(o) = o**3 - 3*o**2 + 2*o - 1. Let g be n(2). Let k = 122/15 - 8/15. Calculate the common denominator of k and 135/4*g/10.
40
What is the common denominator of -1/30 and (-4160)/495 - (-8)/44?
90
Let v(d) be the second derivative of 0 - 2*d + 5/3*d**3 + 1/2*d**2. What is the least common multiple of v(1) and 3?
33
Let g = -19 - -41. What is the smallest common multiple of 20 and g?
220
Let s = -11023/110 + 1044/11. Suppose 5 = -3*k - 2*q - 19, 0 = -4*k - 3*q - 33. Find the common denominator of (226/k)/(30/(-9)) and s.
10
Find the common denominator of -41/12 and ((-51)/(-45))/((-24)/(-126)).
60
Suppose 26*i = 27*i, -m + 34 = -i. Suppose -6*g + 60 = -g. Calculate the smallest common multiple of m and g.
204
Let n(u) = -2*u + 5. Let w be n(5). What is the common denominator of ((-110)/(-16))/(w - -6) and 381/60 - (3 - 1)?
40
Let c be 15/(-2) + 8/(-16). Find the common denominator of 13/9 and ((-10)/c)/((-1)/(-18)).
18
Let i = -10544/765 - 103/170. Let t = 685 - 29741/45. Let r = i + t. Calculate the common denominator of 103/10 and r.
10
Let o(q) = -q**2 + 5*q. Let y(i) = i - 8. Let a be y(12). What is the least common multiple of 1 and o(a)?
4
Find the common denominator of -37/16 and (9/56)/((-30)/440).
112
Let c = 4556 - 18125/4. Let x be (-3365)/2*(-6)/(-20). Let q = -9953/20 - x. Calculate the common denominator of q and c.
20
Let z = 113133/10 + -11301. What is the common denominator of z and (0 - -2) + 942/(-192)?
160
Suppose -4*j + 0*s - 2*s = -42, -5*j - 3*s + 53 = 0. Let f(b) = 7*b - 35. What is the smallest common multiple of f(7) and j?
70
What is the common denominator of (-9)/24*(-536)/18 and -49/9?
18
Let i = -446/69 - -13277/1104. Find the common denominator of i and 23/11.
176
Let j = -7065 + 70571/10. Let u = 343/5 + -2249/40. What is the common denominator of j and u?
40
Suppose 4*k + 0*k - 4 = 0. Calculate the smallest common multiple of 3 and k.
3
Let b = 2/2655 + 8828/2 | {
"pile_set_name": "DM Mathematics"
} |
Let d(t) = 27*t**3 - 33*t**2 - 15*t. Let a(r) = -7*r**3 + 8*r**2 + 4*r. Let y(v) = -15*a(v) - 4*d(v). Find the third derivative of y(o) wrt o.
-18
Let b(y) be the first derivative of 28*y**5/5 + 12*y**3 - 23. Find the third derivative of b(r) wrt r.
672*r
Let z(t) be the second derivative of t**9/5040 + t**7/1260 - t**4/4 - 2*t. Let m(i) be the third derivative of z(i). What is the third derivative of m(g) wrt g?
72*g
Let k(y) = -y**2 + 5. Let n be k(0). Find the third derivative of -6*x**2 - 5*x + n*x - 3*x**3 wrt x.
-18
Suppose -2*g = -5 - 5. Let a(l) = l - 7. Let h(r) = 1 + 0 - 2. Let y(t) = g*h(t) - a(t). Differentiate y(u) wrt u.
-1
Let d(c) be the first derivative of c**10/1680 + c**6/180 - c**3/3 + 2. Let a(z) be the third derivative of d(z). What is the third derivative of a(p) wrt p?
360*p**3
Let f(r) = 11*r**4 - 5*r**3 + 2. Let p(i) = i**4 - i**3 - 1. Let n(k) = f(k) - 5*p(k). Find the first derivative of n(u) wrt u.
24*u**3
Let k be (-2 - -3)/(-5) + 1/4. Let g(f) be the second derivative of k*f**5 - f**2 - f + 0 + 0*f**3 + 0*f**4. What is the derivative of g(j) wrt j?
3*j**2
Let u = -5 + 7. Suppose -u*h + l = -3*h + 4, 2*h - 3*l - 3 = 0. Differentiate -v**2 - 3 - 2 + h with respect to v.
-2*v
Let v = 340 - 8159/24. Let d(b) be the third derivative of 1/6*b**3 + 0*b + 0 - b**2 + v*b**4. Find the first derivative of d(o) wrt o.
1
Let c = 8 + -6. What is the third derivative of -5*v**4 + 3*v**2 + 4*v**c + 0*v + 0*v wrt v?
-120*v
Suppose 2*w + u - 10 = -u, 5 = 3*w + u. Let d(f) be the second derivative of 0*f**3 - 1/20*f**5 + 2*f + 0 + 1/2*f**2 + w*f**4. Differentiate d(p) wrt p.
-3*p**2
Let k(r) = 16*r - 8. Let x(p) = -p + 1. Let y(h) = k(h) + 6*x(h). Differentiate y(f) with respect to f.
10
Find the third derivative of 0*r**5 - 2*r**5 - 10*r**2 + r**2 wrt r.
-120*r**2
Let g(p) be the first derivative of p**9/1008 + p**6/180 - 2*p**3/3 + 2. Let r(m) be the third derivative of g(m). What is the third derivative of r(j) wrt j?
180*j**2
Let r be (8 + 0)/(4 + -2). What is the first derivative of 0 + 3*k - r + 2 - k wrt k?
2
Let j(u) be the third derivative of -u**8/2240 + u**5/20 + u**4/12 + 4*u**2. Let d(r) be the second derivative of j(r). Find the first derivative of d(c) wrt c.
-9*c**2
Let o = 12 + -26. Let r = -9 - o. Find the third derivative of -1 - 3*g**r + 1 + 0 + 4*g**2 wrt g.
-180*g**2
Suppose -3*z + 15 = 5*p - 8*z, 2*z = p - 4. Suppose -f - x + p*x + 8 = 0, f + 4*x = -12. What is the first derivative of -5*i + i + 2*i - f - i wrt i?
-3
Let l be (-2)/((-2)/(-3)*-1). Suppose 0 = 4*o - 4 - 8. What is the third derivative of -3*g**2 - o*g**3 + 0*g**3 + 3*g**3 + 3*g**l wrt g?
18
Let q(p) = p**4 - p**3 - p**2 - p + 1. Let m(i) = -40*i**4 + 3*i**3 - 8*i**2 + 3*i - 3. Let c(n) = m(n) + 3*q(n). Find the third derivative of c(j) wrt j.
-888*j
Let s(p) be the third derivative of -7*p**5/60 - 5*p**4/24 + 9*p**2. What is the second derivative of s(h) wrt h?
-14
Let o(r) = -35*r**4 - 5*r**3 + 5*r + 21. Let y(f) = 140*f**4 + 21*f**3 - 21*f - 84. Let p(u) = 21*o(u) + 5*y(u). What is the first derivative of p(d) wrt d?
-140*d**3
Let m(y) = 59*y**4 + 7*y**3 - 43*y**2 + 7*y. Let v(d) = -29*d**4 - 3*d**3 + 22*d**2 - 3*d. Let u(h) = 3*m(h) + 7*v(h). Find the third derivative of u(n) wrt n.
-624*n
Let y be (-4 - -13) + (-3 - 0). What is the second derivative of -s**2 - 4*s - y*s**3 + s**2 wrt s?
-36*s
Let f(j) = -j**2 - j. Let n(s) = 22*s**2 + 5*s - 7. Let o(c) = 5*f(c) + n(c). What is the first derivative of o(g) wrt g?
34*g
Let a(i) = 61*i + 19. Let y(q) = 61*q + 19. Let r(b) = 3*a(b) - 4*y(b). Differentiate r(t) wrt t.
-61
Let t(j) be the first derivative of 3*j - 4 - 2*j - 2*j**2 + 1 + 0*j. Differentiate t(c) with respect to c.
-4
Let s(v) = v**3 - v**2 + 1. Let x(h) = 36*h**3 - 4*h**2 - 25*h + 4. Let l(g) = -4*s(g) + x(g). Find the second derivative of l(p) wrt p.
192*p
Let o(u) = 14*u - 1. Let d(z) = -99*z + 6. Let c(n) = -2*d(n) - 15*o(n). Differentiate c(f) wrt f.
-12
Let f(j) be the third derivative of 0*j**7 + 0*j**6 - 1/12*j**4 + 4*j**2 - 1/336*j**8 + 0*j**3 + 0*j + 0*j**5 + 0. What is the second derivative of f(g) wrt g?
-20*g**3
Let q(t) be the third derivative of -t**5/30 + 5*t**4/24 + 21*t**3/2 + 6*t**2 + 8*t. Find the first derivative of q(v) wrt v.
-4*v + 5
Let b(i) be the first derivative of -i**8/840 + i**4/8 + i**3/3 - 2. Let g(v) be the third derivative of b(v). Differentiate g(h) wrt h.
-8*h**3
Let b(u) be the third derivative of -3*u**2 + 0*u + 0*u**4 + 0 - 1/40*u**6 + 0*u**5 - 4/3*u**3. What is the derivative of b(j) wrt j?
-9*j**2
Let q(x) be the third derivative of 2*x**5/15 + 5*x**3/6 + 9*x**2. What is the first derivative of q(p) wrt p?
16*p
Let z be 253/55 + (-4)/(-10). Find the third derivative of h**5 - 7*h**2 - h**z + 2*h**5 + h**5 wrt h.
180*h**2
Let h(n) = 7*n**5 + 4*n + 2. Let a(i) = -29*i**5 - 16*i - 9. Let w(r) = -2*a(r) - 9*h(r). What is the second derivative of w(l) wrt l?
-100*l**3
Let l(j) be the second derivative of 53*j**5/20 - j**3/3 - j**2/2 + 27*j. Find the second derivative of l(p) wrt p.
318*p
Suppose -t - 7 = 2*x, 0*x - 5*x - 25 = 0. Find the second derivative of -15*v**t + 7*v**3 + v**2 + 6*v - v**2 wrt v.
-48*v
Let l(n) = n**2 + 2*n - 3. Let w be l(2). Let h be 10/25 - 26/(-10). Differentiate -p**4 - 2*p**4 + w*p**4 + h wrt p.
8*p**3
Let a(v) be the second derivative of -v**5/24 - v**4/24 - v**3/3 + 4*v. Let j(b) be the second derivative of a(b). Differentiate j(h) with respect to h.
-5
Let m be ((-18)/(-4))/(6/24). Suppose 2*s = g + 7, -5*g + m = s - 2. What is the second derivative of -w**3 - 3*w**2 + 3*w**2 - g*w wrt w?
-6*w
Suppose w = b - 0*w, -4*w = 0. Let f = 2 + b. What is the third derivative of -6*n**5 + n**f - 2*n**2 + 4*n**5 wrt n?
-120*n**2
Let r(w) = -6*w**2 - 14*w - 3. Let n(h) = h**2 + h + 1. Let p(o) = -3*n(o) - r(o). What is the second derivative of p(b) wrt b?
6
Let g be (-9)/(-3)*-1 + 6. What is the first derivative of 3*x**2 + 5 - 3*x**2 + g*x**2 wrt x?
6*x
Let p(u) = u - 26. Let a(h) = -9. Let c(t) = 11*a(t) - 4*p(t). Differentiate c(k) with respect to k.
-4
Let d(a) be the first derivative of 6*a**3 + 5*a**2 - 9. What is the second derivative of d(h) wrt h?
36
What is the second derivative of 22*o + 19*o + 4*o**4 - 55*o wrt o?
48*o**2
Find the second derivative of -5*z - 9*z**3 + 12*z**3 + 14*z wrt z.
18*z
Find the third derivative of -16*w**6 + 4*w**6 - 11*w**2 + 10*w**6 - 3*w**2 wrt w.
-240*w**3
Let y(c) be the first derivative of 2*c**6/15 - 5*c**2/2 - 5*c - 4. Let d(u) be the first derivative of y(u). Differentiate d(w) wrt w.
16*w**3
Let f(y) = 27*y**4 + 9*y**2 + 9*y + 47. Let h(g) = 7*g**4 + 2*g**2 + 2*g + 12. Let w(r) = 2*f(r) - 9*h(r). What is the first derivative of w(x) wrt x?
-36*x**3
Let r be (2/3 + -1)*-6. Find the third derivative of 4*b**5 + r*b**6 + 2*b**2 - b**6 - 4*b**5 wrt b.
120*b**3
Let d(v) be the second derivative of -v**9/1512 + v**5/60 - v**3/2 + 4*v. Let s(q) be the second derivative of d(q). Find the second derivative of s(f) wrt f.
-40*f**3
Let a(y) = -y - 1. Let u(n) = n - 1. Suppose 4*j = 3*i + 28, 0*j = i + 2*j - 4. Let m(v) = i*u(v) - a(v). What is the derivative of m(t) wrt t?
-3
Let d(a) be the first derivative of -43*a**5/5 - 19*a + 20. Find the first derivative of d(u) wrt u.
-172*u**3
Let z = -8 - -28. What is the second derivative of -20*p**3 + z*p**3 - 3*p + 3*p**5 wrt p?
60*p**3
Let d = 3 - 1. What is the derivative of 1 + 2*c - 3*c + 6*c + d wrt c?
5
Let x(j) be the second derivative of -1/6*j**3 + 0 + 1/6*j**4 + 3*j + 0*j**2. What is the second derivative of x(n) wrt n?
4
Suppose 0*f = -f + 2. Find the second derivative of v + v**f - 2*v + 3*v**2 - 3*v**2 wrt v.
2
Let i(k) be the second derivative of -2*k**8/7 - 7*k**4/6 - 16*k. Find the third derivative of i(o) wrt o.
-1920*o**3
Let a(z) = 2*z**2 - 7*z - 1. Let v be a(4). Let t(n) be the second derivative of 1/6*n**4 + 0*n**v - n**2 - n + 0. Differentiate t(k) wrt k.
4*k
Let c = 4 - 2. Let x = 0 + c. Find the third derivative of -2*b**6 - b**x - b**2 + 4*b**2 wrt b.
-240*b**3
Find the third derivative of 9*k**5 + 3*k**2 - 17*k + 17*k wrt k.
540*k**2
Suppose 2*k = -5*l + 26, 0*l - 2 = -2*k + l. What is the derivative of 9 + 2*f**3 + 9*f**4 + f**4 - 2*f**k wrt f?
40*f**3
Let b(u) b | {
"pile_set_name": "DM Mathematics"
} |
g r is positive.
r**(31/15)
Simplify ((t**(-3/4)*t)/t*t*t*((t/t**5)/t)/t)/(t**(-1/2))**(-38)*t/t**1*t**(-1/3)*(t**(-1/4))**(-7/2) assuming t is positive.
t**(-557/24)
Simplify d**(1/5)*d/((d*(d/(d*d/d**0))/d*d*d)/d)*d*(d/(d*d**(-2)))/d**(-1/3)*((d/(d/d**(-1/2))*d)**(-49))**8 assuming d is positive.
d**(-2872/15)
Simplify ((g*g*g/g**(-6/25))/g)**43/((g/g**(-1/11)*g)/g*g/(g*g**(24/5)/g*g)) assuming g is positive.
g**(27508/275)
Simplify ((r**4*r)**14)**(3/5)*((r/r**(2/5))**(-17))**(3/7) assuming r is positive.
r**(1317/35)
Simplify (((o**(1/57)*o)/o)/o)**(2/43)/((o*o**(2/131))/o**(5/4)) assuming o is positive.
o**(242785/1284324)
Simplify ((f**(-5)*f*f*f/(f/(f**(-25)*f*f))*f)/((f/f**37)/f*f**(5/8)))**(-2/119) assuming f is positive.
f**(-13/68)
Simplify q**(-1)*q*q**(3/5)*q*q**6*q**(6/7)*((((q*q/((q**1/q)/q))/q)/q)/q)/q*q**(-2/7)/q*(q**(1/4)/q)/q*q*q*q/(q/q**(-4))*q assuming q is positive.
q**(479/140)
Simplify ((k/((k*k**(1/4)/k*k)/k))**(1/3)*(k**(-2/3))**(-9/7))**(-1/8) assuming k is positive.
k**(-31/224)
Simplify (x**(-6)/x)/x*x**(-2)*x/x**(-1)*x**(1/4)*x/(x*x/x**(1/4))*x/x**7*x**1*x*x**5 assuming x is positive.
x**(-15/2)
Simplify ((g**(-2/7)*g)/(g/(g*g**(2/19)*g)))/(g**3/g*g/g**(1/5))*(g**(-1/4))**(-30)*g/g**7*g/(g/g**0*g) assuming g is positive.
g**(-639/1330)
Simplify q**(-12)*q*q/(q/(q/((q/((q/(q*q**8))/q))/q)))*q*(q**16*q)/(q*q**13) assuming q is positive.
q**(-15)
Simplify (b**9*b**3)**(2/85)/(b**(1/6)/b*b**(-3))**36 assuming b is positive.
b**(11754/85)
Simplify z**(-20)/z**(1/23)*z**11*z/z**(-43) assuming z is positive.
z**(804/23)
Simplify (((w*w/w**4)/w)**(2/25)*(w**(-1))**(-1/12))**(1/4) assuming w is positive.
w**(-47/1200)
Simplify (k**(4/9)*k**4*k*k**(-1/2)/k**(-1/4))/((k**2/k*k**3*k)/(k*((k/k**(-4))/k)/k*k*k**(-3/2))) assuming k is positive.
k**(133/36)
Simplify ((((k**(-1/4)/k*k)**(-43))**(-2/29))**(-5))**(-20) assuming k is positive.
k**(-2150/29)
Simplify ((d*d**(-7)*d)/d**(-5))**(-6)/(((d/(d**(6/11)*d))/d)/d**(-2))**(-2/27) assuming d is positive.
d**(10/297)
Simplify (d*d**1*d**(-1/2)*d**5/d**(-5))/(d*d/(d/d**4*d)*d/(d**0*d)*d**3*d*d*d*d**4) assuming d is positive.
d**(-5/2)
Simplify (((i/i**1)/i**(-1/11))/(((i/(i*i/(i*i/(i*i**(1/24))*i*i)))/i*i)/i*i)**(-36))**(-1/39) assuming i is positive.
i**(-1553/858)
Simplify (m/m**2)**(-13/7)*(m*m**(1/2))**28*((m/m**7)/(m*m*m**(7/3)*m*m))**(-5) assuming m is positive.
m**(2216/21)
Simplify ((x**(1/3))**(-3/8))**(-1/35)/((((((x**(-2/9)/x*x)/x)/x)/x*x)/x**(1/2))/(x**(-2/9))**(-12)) assuming x is positive.
x**(13589/2520)
Simplify ((u**(-1)*u)**(-4)*(u/u**(-1/4))/u**(-2))/((u**(-2)*u)/u*u**(2/17)/u*(u**(-2/7))**25) assuming u is positive.
u**(6319/476)
Simplify b**2/b*b/(b/(b*(b*b**(-1))/b))*b*((b/b**(2/5))/b)/b*b*(b/b**(2/9)*b)/b*(b**(-1/3))**(-19)*b**(-2/9)/b*b**5 assuming b is positive.
b**(562/45)
Simplify (j*j/(((j**(1/3)*j)/j)/j))**(-5/7)*j**(4/5)/j*(j*j**(2/9)*j)/j*j*((j/(j*j/(j*j**0)))**(2/21))**(2/89) assuming j is positive.
j**(37/315)
Simplify (y**(1/2))**(-2/95)/((y/((y/(y/(y/y**(1/5))))/y)*y*y)/(y/(y*y**(-4)/y)))*(y**(3/5)/(y*y*y/(y**(-3)*y)*y))**(-31) assuming y is positive.
y**(16073/95)
Simplify ((t*t**1)**(6/17))**41*(t**(-1/4))**(-18)/(t**0/((t*t**(1/8)*t*t)/t)) assuming t is positive.
t**(4837/136)
Simplify (((h/(h**(7/2)/h)*h**(-1))/(h**(-7)/(h*h*h**11)))**(8/5))**49 assuming h is positive.
h**1372
Simplify (((((q/(q*q*q/q**(-4)*q*q))/q)/q**(-2/11))/(q**(-2/3))**22)**(1/58))**(24/7) assuming q is positive.
q**(772/2233)
Simplify (((u/u**4*u)**(-32)*u**(2/11)*u*u**(-4)/u*u)**(9/10))**(3/19) assuming u is positive.
u**(18171/2090)
Simplify (((q**0*q*q/q**11*q*q)/(q**0)**(-6/5))**(-34))**29 assuming q is positive.
q**6902
Simplify ((((i*i*i**(-1/9))/(i*i**(2/5)))**(-10/11))**49)**(-31) assuming i is positive.
i**(6076/9)
Simplify (((g**(-3/10)/((g/(g*(g/(g*(g/((g/(g**(2/9)/g))/g))/g*g*g)*g)/g))/g*g))**39)**(-35))**37 assuming g is positive.
g**(461279/6)
Simplify ((l**(-2/7)*l*(l**(-4)*l)/l*l)/(l**6*l*l**(-3)))/((l**(2/7)/l)**(-36/11)/((l**(1/2)/l)/l)**(-1/18)) assuming l is positive.
l**(-7891/924)
Simplify (q/(q**1/q))**(16/9)*q**2*q*q**(-3/5)*q/q**6*(q/(q/((q**4*q*q)/q)))/q*(q**(-1)*q)**(-4/19) assuming q is positive.
q**(143/45)
Simplify ((j*(j/(j*j*(j**(2/3)/j*j)/j)*j)/j)**(-9)*j**(-4/3)/j**(1/3))/((j**(2/3)*j)/((j/((j**(3/5)*j)/j))/j)*j**6*j/(j*j**(-7)/j)) assuming j is positive.
j**(-314/15)
Simplify (((r/(r**(-29)*r))/(r/(r**(-21)/r)))/(r/(r**7*r)*r**19))**50 assuming r is positive.
r**(-300)
Simplify (a/(((a*a**(-1/2))/a)/a))**(-47)*(a/a**(1/2))/a*a*a/(a*a**(-30)) assuming a is positive.
a**(-87)
Simplify ((f**(-1/2))**(-29))**(5/11)/((f/((f**4/f*f)/f))/(f/f**(2/9))*f**5*f/(f*f**(-1/4))) assuming f is positive.
f**(1631/396)
Simplify (i*i/(i/(i*i**(-3/7)/i))*i**2*i**(-5)*i**(-2/11))/(i**7/(i*i**5))**(-5/3) assuming i is positive.
i**(-218/231)
Simplify ((k/k**9)/k*(k*k**(3/7))/k)**39/((k*k**8)/(k*k/k**(-2)))**(6/17) assuming k is positive.
k**(-39990/119)
Simplify (((i*i/((i**0*i)/i))**(-1/12)*((i*i*(i*i**(-7))/i)/i*i)/i*i**(-3))**(-32))**(-8/11) assuming i is positive.
i**(-640/3)
Simplify (c/(c**(-2)*c)*c**(-2)*c*c*c*(c*c*c/(c/(c/c**0)*c))**(-14))/((c**(-2/7)*c)/(c/((c**(-1/10)/c)/c)))**25 assuming c is positive.
c**(485/14)
Simplify (((p/p**(-14)*p)/p**(-5/11))/(p**18*p**(-2/15)))**(-1) assuming p is positive.
p**(233/165)
Simplify (a/(a*a*a*a*a/(a/a**(2/7))*a*a))**4*a**(-1/5)/(a**(-2/15)/a)*((a*a**(-9)/a)/(a/(a*a/(a/(a/a**(-4))))))**(-5/4) assuming a is positive.
a**(-1597/105)
Simplify ((g**(-4)/(g/(g**(-2/5)/g)))/(g**(2/5))**(-24))/((g*g*g**(-4/5)*g)/(g*g**(2/5)*g)*g**(6/5)*g**(4/7)) assuming g is positive.
g**(57/35)
Simplify ((j**4/j**(-3))/((j*j/(j**(-1)/j)*j)/j)**(-4/7))/((j/((j/(j/(j/(j/(j/(j**(-5)*j))))))/j))/j**(-2/11))**(-36/5) assuming j is positive.
j**(-4237/385)
Simplify (o*o**(-1/5))**(-4/21)*o*o**(-1/2)*o*o*o**8*(o**(-7)*o**(3/5))/((o*o/o**(-5))/(o*o*o**(-3))) assuming o is positive.
o**(-851/210)
Simplify (((r**(-2/3))**45*r**9*((r/(r/(r/(r*r**11)))*r)/r)/r*r)**40)**(-37) assuming r is positive.
r**47360
Simplify ((f**1*f)**(-6/25)/(f*f/f**0)**(-38))/(f/(f*f**(-4))*f*f**3*(f/(f/(f**(-1)/f))*f)**(13/2)) assuming f is positive.
f**(3701/50)
Simplify ((z**2*z*z**1)/(z**(-4/5)/z**5))/((z**(2/5)/z)**(15/7)*(z/z**(2/7)*z)**23) assuming z is positive.
z**(-992/35)
Simplify ((q*q/q**(-2))**(-8/9)/(q/(q**18/q)*q**(-19)/q))**(2/7) assuming q is positive.
q**(584/63)
Simplify (h**1)**30/((h/(h**(2/75)/h*h*h))/(h*h**(-2/13))) assuming h is positive.
h**(30101/975)
Simplify (((k*k**(-3/7))/(k*k**(2/9)/k*k))/(k**6*k*((k/(k/(k/(k/(k**(-1/14)*k)*k))))/k)/k*k))/((k**(-2))**(4/11))**(-1/31) assuming k is positive.
k**(-283697/42966)
Simplify ((g**(-7/6)/g*g/g**(-3/4))/(g**(11/2))**39)**(-2/117) assuming g is positive.
g**(2579/702)
Simplify (((p*p**4)/p**(-9))/((p**(-1/7)*p)/p**9))/((p**8*(p/p**(-3/7))/p)/(p**(1/6)/p*((p/(((p*(p/(p**(1/7)*p)*p)/p*p)/p)/p))/p)/p)) assuming p is positive.
p**(505/42)
Simplify ((l**7/l**(3/7))/((l/((l/l**(-2/5))/l))/l**(-6)))/((l*l**(1/4))**(-31))**(-1) assuming l is positive.
l**(-5429/140)
Simplify ((t**(-2/7))**(-45))**(-3/19)*t*t*((t/((t*t**(3/5))/t*t)*t*t)/t)/t*t/((t**5*t)/t*t)*t*t*(((t*t/(t**5/t))/t)/t*t)/(t*t/(t**3*t)) assuming t is positive.
t**(-3079/665)
Simplify (j**6*j**(-2/7))/(((j/j**(5/4))/j)/j**(-3/2))*j**3/j**(2/7)*j**0/(j/(j*j*j**(-6)/j)) assuming j is positive.
j**(61/28)
Simplify ((u/(((u/(u*u**(-1/2)))/u)/u))**34)**(3/41)*((u/(u*u*u**0*u))/u)**50/((u/u**(4/3)*u)/(u*u**(-6)*u)) assuming u is positive.
u**(-18259/123)
Simplify ((s*(s*s**(-3))/s)/s**(1/6))**(14/3)*((s/((s*s*s/((s**6/s)/s))/s))/s*s**(-7)/s)/(s**(2/13)*s**0) assuming s is positive.
s**(-1903/117)
Simplify (i**2*i*i)**19*(i*i*i/(i**(-5)/i)*i)/i**(1/12)*(i**(1/6)*i/((i*((i*(i**(9/2)*i)/i*i*i)/i)/i)/i*i))**(2/143) assuming i is positive.
i**(147305/1716)
Simplify (p**(-1/6)/p*p/(p/p**(-11))*p**(1/7)/(p/(p*p*p**11)))**(2/55) assuming p is positive.
p**(-1/1155)
Simplify (x**(-2/5))**(-1/14)*(x/x**1)**(9/10)*(x**(-4)/x)/x**(-2/5)*x**(5/4)*x/(x/x**(1/3)) assuming x is positive.
x**(-251/84)
Simplify (s**1)**(-42)*(s**1*s)**42*(s/(s/(s/(s*s**(-5)/s)*s))*s**(-6))**(13/5) assuming s is positive.
s**(223/5)
Simplify ((a**(-1/3))**(-9))**(22/9)*((a | {
"pile_set_name": "DM Mathematics"
} |
Let w(j) = 5*j - 2. Suppose -3*t + 2*y = -10, -t = t + 3*y - 11. What is t*p(a) + 7*w(a)?
-9*a - 2
Let d(c) = 0*c - 3*c - c + 8 + c. Let h(y) = -20 + 40 + 12023*y - 12024*y - 17. Calculate 3*d(p) - 8*h(p).
-p
Let u(a) = -13*a**3 + 9*a**2 - 56*a - 9. Let h(p) be the first derivative of 3*p**4/4 - 2*p**3/3 + 7*p**2 + 2*p + 690. Determine 9*h(r) + 2*u(r).
r**3 + 14*r
Let w(c) = -91*c**3 + 5*c**2 - 17*c + 2. Let d(j) = 136*j**3 - 7*j**2 + 27*j - 3. Calculate 5*d(v) + 8*w(v).
-48*v**3 + 5*v**2 - v + 1
Let t(i) be the second derivative of i**4/3 + i**3/2 - i**2 - 13*i. Let g(f) = f**2. Let o(d) = 229*d + 5272. Let l be o(-23). Give l*g(q) - t(q).
q**2 - 3*q + 2
Let u(w) = -4*w + 1. Let x(f) = -1455*f**2 - 132*f + 33. What is -132*u(z) + 4*x(z)?
-5820*z**2
Let n(l) = -6*l**2 + 8*l - 75. Let u(b) = -b**2 + b + 18. Determine n(s) + 4*u(s).
-10*s**2 + 12*s - 3
Let b(r) = -27*r**2 + 2*r. Let p(n) be the second derivative of 1089*n**4/4 - 81*n**3/2 - 26*n - 21. What is -243*b(o) - 2*p(o)?
27*o**2
Let b(c) = -10*c**2 - 26*c + 8. Let s(d) = 22*d**2 + 49*d - 18. What is -9*b(m) - 4*s(m)?
2*m**2 + 38*m
Let y = -4 + 5. Let z(s) = 2*s - 2. Let l(b) = 5*b**2 + 2. Let r(h) = -2*h**2 - 1. Let v(k) = l(k) + 2*r(k). What is y*z(d) + v(d)?
d**2 + 2*d - 2
Let a(v) = 3*v**3 - 55*v**2 - 5*v. Let d(q) = -11*q + 13*q + 27*q**2 - 136*q**3 + 48*q**3 + 48*q**3 + 39*q**3. Determine -2*a(f) - 5*d(f).
-f**3 - 25*f**2
Let i(u) = 7*u**3 + 6*u**2 - 5*u + 3. Let d(a) = -20*a**3 - 17*a**2 + 14*a - 8. Let n(w) = 41*w + 557. Let g be n(-14). Give g*i(t) - 6*d(t).
t**3 + t - 3
Let x(o) = 14*o. Let q(a) = 47*a + 61. Determine q(i) - 6*x(i).
-37*i + 61
Let j(u) = u**2 + u + 2. Let o be (38 - 37)*(6/9)/(2/3). Let n(m) = m**2. What is o*j(k) - 2*n(k)?
-k**2 + k + 2
Let a(s) = 4*s + 2. Suppose 0 = -5*r - 33 + 183. Let k = 2404 - 2401. Suppose -r = -2*f - k*f. Let g(d) = 25*d + 13. What is f*g(u) - 39*a(u)?
-6*u
Let y(w) = w**2 + w - 1. Let c(o) = 10*o**2 - 12*o - 8. Let a(b) = -b**2 + 3*b + 1. Let m(z) = -5*a(z) - c(z). What is -2*m(v) - 9*y(v)?
v**2 - 3*v + 3
Let b(r) be the first derivative of 66 + 1/4*r**4 + 1/2*r**2 + r + 0*r**3. Let c(u) = 4*u**3 + 7*u + 6. Give 6*b(h) - c(h).
2*h**3 - h
Let a(b) = 15781*b**2 + 25*b. Let j(v) = 15781*v**2 + 20*v. Determine 4*a(z) - 5*j(z).
-15781*z**2
Let w = -32162 + 32156. Let v(k) = -2*k + 2. Let n(q) = -2 + 2 + 2*q - 2. Determine w*n(p) - 7*v(p).
2*p - 2
Let n(m) be the first derivative of 9*m**4/4 - 5*m**3/3 + 4*m + 3486. Let k(z) = 19*z**3 - 11*z**2 + 9. What is 4*k(b) - 9*n(b)?
-5*b**3 + b**2
Let y(s) = 1324*s + 11 + 3*s**2 - 4*s**2 - 1323*s - 3. Let p(k) = -2*k**2 + 2*k + 17. Give 4*p(g) - 10*y(g).
2*g**2 - 2*g - 12
Let m(y) = -40*y - 6776. Let g(w) = 29*w + 5084. What is 11*g(t) + 8*m(t)?
-t + 1716
Let l(m) = m. Let t = -28 - -73. Let g(q) = -t*q - 4 + 48*q - 2*q. Calculate -g(i) + 2*l(i).
i + 4
Let v(w) = -w**2 + w - 4002. Let r(s) = -797. Give -11*r(l) + 2*v(l).
-2*l**2 + 2*l + 763
Let b(s) = 3*s**2 + s**2 + 5 - 6*s**2 - 6*s**2 - 5*s. Let m = -58 - -37. Suppose -290 + 285 = o. Let g(q) = 33*q**2 + 21*q - 21. Determine m*b(v) + o*g(v).
3*v**2
Suppose -4*w - 7 = a, 12*w = -2*a + 16*w - 14. Let z(v) = -9*v**2 - v - 9. Let n(k) = -13*k**2 - k - 13. Determine a*z(p) + 5*n(p).
-2*p**2 + 2*p - 2
Let x(m) = 4*m**3 - 4*m**2 - 11*m. Let v(l) = -14*l**2 - 56 + 12*l + 34 + 19*l**2 - 5*l**3 + 22. What is 2*v(f) + 3*x(f)?
2*f**3 - 2*f**2 - 9*f
Let k(y) = -7*y**3 + 6*y**2 + 8. Let n(w) be the second derivative of -2*w**5/5 + 7*w**4/12 + 4*w**2 - w + 1888. What is 6*k(g) - 5*n(g)?
-2*g**3 + g**2 + 8
Let l(g) = g**2 + 1. Let y(n) = 8475*n**2 + 2 - 16942*n**2 + 8470*n**2 + n**3 + n. Determine -2*l(t) + y(t).
t**3 + t**2 + t
Suppose -3*h + 11 + 7 = 0. Let q(g) = -12*g**2 - 10. Let v(x) = -19*x**2 - 15. Let i(a) = 8*q(a) - 5*v(a). Let f(j) = -2*j**2 - 11. What is h*f(c) - 13*i(c)?
c**2 - 1
Let z(l) = -22*l**2 + 7*l - 35. Let f(n) = n + 1. Calculate 5*f(o) - z(o).
22*o**2 - 2*o + 40
Let f(k) = -k - 2. Let z(u) = 1. Let r = -89 - -90. Let l = 1029 + -1027. What is l*z(b) + r*f(b)?
-b
Let t(w) = -4048590*w**3 - 16313*w. Let p(m) = -1489*m**3 - 6*m. What is 16313*p(o) - 6*t(o)?
1483*o**3
Let d(r) = -r - 3. Let c(k) be the second derivative of k**3/3 + 3*k**2 + 36*k - 25. What is -6*c(a) - 15*d(a)?
3*a + 9
Let h(s) = -s**3 - 4*s + 4. Suppose 12 = -8*v + 14*v. Let m(a) = 3*a**3 + 17*a - 17. Calculate v*m(y) + 9*h(y).
-3*y**3 - 2*y + 2
Let h(d) = -7*d**3 + 6*d**2. Let l(k) = 152*k + 3945. Let p be l(-26). Let r(b) = 8*b**3 - 7*b**2. Give p*h(a) - 6*r(a).
a**3
Let k(l) = -20*l + 1227. Let f(a) = 13*a - 817. Calculate 10*f(v) + 7*k(v).
-10*v + 419
Let r(c) = -c**2 - 159*c + 34. Let w(v) = -133*v + 35. Determine -5*r(g) + 6*w(g).
5*g**2 - 3*g + 40
Let k(v) = -3728*v - 3. Let b(l) = -7454*l - 8. What is 3*b(n) - 7*k(n)?
3734*n - 3
Let k(g) be the first derivative of -3*g**2/2 - 2*g - 2. Let r(z) = 48*z + 33. Let w = -99774 + 99768. Give w*r(m) - 99*k(m).
9*m
Let h(g) = -8*g**2 + g + 2. Let k(x) = -38*x**2 + 123*x + 8. Determine -5*h(z) + k(z).
2*z**2 + 118*z - 2
Let i(g) = g**2 + 15*g - 1431. Let n be i(-46). Let j(y) = -y**3 + 3*y**2 - 5*y - 14. Let p(q) = -q**3 + 5*q**2 - 8*q - 21. Give n*p(k) + 8*j(k).
-3*k**3 - k**2 - 7
Let w(d) = -2*d**2 + 5*d - 2. Suppose -185 - 205 = 112*n + 170. Let k(t) = t**2 - 4*t + 1. Determine n*k(r) - 4*w(r).
3*r**2 + 3
Suppose -6*f + 4*i - 12 = -9*f, 3*i + 12 = 3*f. Let x(j) = 9*j - 8*j**3 + 25*j - 1 - 29*j. Let q(v) = 7*v**3 - 4*v. Give f*x(d) + 5*q(d).
3*d**3 - 4
Let u(p) = -355*p + 12. Let o(v) = -379*v + 14. Determine 3*o(n) - 4*u(n).
283*n - 6
Let f(v) = -4*v - 10. Let m(d) = 3*d + 9. Suppose 4*h - 8 = -l, -h + 6*l + 7 = 5*l. Suppose 2*q = 5*q - 4*c - 17, 0 = -3*q + h*c + 18. Give q*m(u) + 6*f(u).
-3*u + 3
Let w(h) = 3*h**2 + 2. Let a be (-4)/12*12 + 6. Let n(l) = 30 - 13 + l - 13*l**2 - 26. Give a*n(i) + 9*w(i).
i**2 + 2*i
Let q(t) = -14*t + 1052. Let x(a) = 38*a - 3158. Determine 8*q(w) + 3*x(w).
2*w - 1058
Let q(b) = -495344*b**2 + 12*b**3 + 495344*b**2 + 4*b. Let i be (-7)/(-14) - (-3)/(-2). Let y(t) = t**3 + t. What is i*q(u) + 4*y(u)?
-8*u**3
Let o(b) = 7*b**2 + 2*b - 3. Suppose 207 - 1565 = -7*t. Let d = t + -187. Let j(g) = -13*g**2 - 4*g + 5. Calculate d*o(w) + 4*j(w).
-3*w**2 - 2*w - 1
Let y(u) = -15*u - 906. Let r be y(-60). Let m(v) = 5*v**3 - 15*v**2 - 2*v + 6. Let k(i) = -9*i**3 + 29*i**2 + 4*i - 11. Determine r*k(o) - 11*m(o).
-o**3 - 9*o**2 - 2*o
Let g(q) = 16*q**3 - 107*q**2 - 19*q + 4. Let n(x) = -79*x**3 + 533*x**2 + 105*x - 21. Calculate 11*g(c) + 2*n(c).
18*c**3 - 111*c**2 + c + 2
Let c(f) be the third derivative of f**6/120 + f**5/60 + f**4/24 - f**3/6 + f**2 - 695. Let r(b) = 19*b**3 + 5*b**2 + 5*b - 5. Calculate 5*c(i) - r(i).
-14*i**3
Suppose -6*w = -13*w + 126. Let z = 15 - w. Let h(a) = 2*a**2 + 3*a - 3. Let d(i) = 3*i**2 + 7*i - 7. Give z*d(y) + 7*h(y).
5*y**2
Let g(x) = 3*x + 3*x - x - 3*x. Let y(j) = 6*j + 1 - 1 + 0 - 2. Let h(r) = 4*g(r) - 2*y(r). Let d(k) = -2*k + 2. Give -11*d(v) + 6*h(v).
-2*v + 2
Let w(f) = 931*f**2 - 63. Let d(q) = 30*q**2 - 2. Let u(o) = -2*o**3 - 46*o**2 + 46*o - 111. Let y be u(-24). What is y*d(r) + 2*w(r)?
-28*r**2
Let s(a) = 9*a**3 - 5. Let t(l) = 58*l**3 + 6*l**2 - 8. Let g(n) = 105*n**3 + 11*n**2 - 14. Let d(j) = -6*g(j) + 11*t(j). Determine -4*d(h) + 3*s(h).
-5*h**3 + 1
Let i(m) = -m - 871. Let x(y) = y + 850. Give 2*i(d) + 3*x(d).
d + 808
Suppose -3*w + w = -2. Let v(s) = 1 + 40679315552*s - 1 + 13*s**3 - 40679315557*s. Let q(n) = n. Give w*v(d) + 5*q(d).
13*d**3
Suppose -44 = 4*y - 12, -2*o - 42 = 4*y. Let m(l) = -2*l**3 + l**2 + 5*l + 5. Let h(n) = 0*n + 1 + n**2 + n + 0*n. What is o*h(x) + m(x)?
-2*x**3 - 4*x**2
Let w(l) = 54*l**3 + 9*l**2 + 9*l. Let s(t) = -27*t**3 - 5*t**2 - 5*t. Let p(m) = 328*m + 2629. Let d be p(-8). Determine d*w(g) + 9*s(g).
27*g**3
Let x be (3/2)/(39/(-130)) + 6. Let y(m) = -6*m**2 - 2*m. Let j(s) be the third derivative of s**5/60 + s**4/24 - s**3/6 - 857*s**2. What is x*y(u) + 2*j(u)?
-4*u**2 - 2
Let n = 34496 + -34500. Let w(g) = -g**2 - g - 5. Let o(t) = 2*t**2 + 3*t + 11. What is n*o(z) - 10*w(z)?
2*z**2 - 2*z + 6
Let w(q) = 3*q**3 - 16*q**2 + 3*q + 6. Let k be w(5). Let f(b) = 2*b**3 + 4*b**2 + 4*b - 4. Let g(a) = -4*a**3 - 8*a**2 - 9* | {
"pile_set_name": "DM Mathematics"
} |
rder.
6, -20, -48796
Sort -347, 362, 2.
-347, 2, 362
Sort -9, -3, 0, -59, 76, -4 in ascending order.
-59, -9, -4, -3, 0, 76
Sort -4, 139, -2, -21, -13/5 in ascending order.
-21, -4, -13/5, -2, 139
Sort 1, 1715835, -28 in decreasing order.
1715835, 1, -28
Sort 6806, -5, -515 in ascending order.
-515, -5, 6806
Put -80884, 1, 2, -8.6, 0.2 in increasing order.
-80884, -8.6, 0.2, 1, 2
Sort 1683, 4, 9, 3, -8, 1 in descending order.
1683, 9, 4, 3, 1, -8
Sort 5, 2, 16, -2, 87, 1, -10 in descending order.
87, 16, 5, 2, 1, -2, -10
Sort -9, -6.25, -1651 in decreasing order.
-6.25, -9, -1651
Put 4, 5.8267, -5 in descending order.
5.8267, 4, -5
Sort 2024, 6, 209.
6, 209, 2024
Sort -100, -4, 0, -202, 5 in descending order.
5, 0, -4, -100, -202
Sort 53868, -9, 5.
-9, 5, 53868
Sort 3117, 216, 2.
2, 216, 3117
Put -0.5, -1/4, -21, -87/22, -9 in decreasing order.
-1/4, -0.5, -87/22, -9, -21
Sort 8, 440, -2, 21/10 in descending order.
440, 8, 21/10, -2
Put 1, 0.56, 5, -0.04, 0.6406 in decreasing order.
5, 1, 0.6406, 0.56, -0.04
Sort -7, -0.151, -0.28, 0.09 in increasing order.
-7, -0.28, -0.151, 0.09
Put -0.26, 1.2, -62, -0.03 in descending order.
1.2, -0.03, -0.26, -62
Sort -14, -2558872, -1/4, 3 in decreasing order.
3, -1/4, -14, -2558872
Sort -25665, 29, -0.03.
-25665, -0.03, 29
Sort -7, 1325, 0, -524, -5 in descending order.
1325, 0, -5, -7, -524
Sort 0.1, 355, 0.2, 2, 47, -2.
-2, 0.1, 0.2, 2, 47, 355
Put 0.1, -424950, 12 in ascending order.
-424950, 0.1, 12
Sort -5, 28/5, -255/478, 1/15, -1/4 in descending order.
28/5, 1/15, -1/4, -255/478, -5
Sort 1/48, -2/7, -3, 5, 4, -52, -2 in ascending order.
-52, -3, -2, -2/7, 1/48, 4, 5
Put -2, -4, 0, 2, 5, -15 in descending order.
5, 2, 0, -2, -4, -15
Sort 0.5, 0, -52, -16, 5, -0.03 in decreasing order.
5, 0.5, 0, -0.03, -16, -52
Sort -14213, -0.864, -0.1 in ascending order.
-14213, -0.864, -0.1
Put 2/3, -2/11, 4, 5/191, 173 in increasing order.
-2/11, 5/191, 2/3, 4, 173
Sort -4, -2.7021, -5, 7/404.
-5, -4, -2.7021, 7/404
Put 4, 108, 0.5, 0.058, -0.5, 2 in decreasing order.
108, 4, 2, 0.5, 0.058, -0.5
Sort -1, -5557, 5, -5, 6, 0 in decreasing order.
6, 5, 0, -1, -5, -5557
Sort -1, -2, 17884, 2, 6, 1 in decreasing order.
17884, 6, 2, 1, -1, -2
Put 3, -26, 8, -2323, -5, 5 in descending order.
8, 5, 3, -5, -26, -2323
Sort -3, -4, -6, 3, 1017, 14.
-6, -4, -3, 3, 14, 1017
Put 1, 5, 9422706, -2, -16 in ascending order.
-16, -2, 1, 5, 9422706
Put -2, -13, 58919, 8, 3, 4, 1 in increasing order.
-13, -2, 1, 3, 4, 8, 58919
Put 15, 3, -942, 5 in decreasing order.
15, 5, 3, -942
Sort 5, -737522, -17, 1 in decreasing order.
5, 1, -17, -737522
Sort -48, -1217, -3, 4, -4 in decreasing order.
4, -3, -4, -48, -1217
Put 1, 649922, -2 in descending order.
649922, 1, -2
Put 2, 1, -6, -3, 25887, -4 in decreasing order.
25887, 2, 1, -3, -4, -6
Sort 61544, 38, -50.
-50, 38, 61544
Put 11/27, -4, 0, 1/7, -0.3 in descending order.
11/27, 1/7, 0, -0.3, -4
Sort -1/4, 6/5, 5, 243079.
-1/4, 6/5, 5, 243079
Sort -4, -153, 4, 90, -3 in descending order.
90, 4, -3, -4, -153
Sort -8, 121, 0.2, 425, 3/7, -50.
-50, -8, 0.2, 3/7, 121, 425
Sort -5, -1, 3, 251, -383, -4, 2 in ascending order.
-383, -5, -4, -1, 2, 3, 251
Sort -2, -13, 57, -17, -30 in ascending order.
-30, -17, -13, -2, 57
Put 5, 29, -2, -606, 4 in descending order.
29, 5, 4, -2, -606
Sort 1, 0.87349, -0.07, 2.4, -2/9.
-2/9, -0.07, 0.87349, 1, 2.4
Sort -14, 2, -20, -1357 in descending order.
2, -14, -20, -1357
Put 0, 1, 73, -29, 86 in descending order.
86, 73, 1, 0, -29
Sort 2, -82, 2527089, 0 in decreasing order.
2527089, 2, 0, -82
Sort -724, -2, 14, 2, 0, -4, -2609.
-2609, -724, -4, -2, 0, 2, 14
Sort -1, 1, -113, -4, 0, -5 in descending order.
1, 0, -1, -4, -5, -113
Sort -0.48051, -1, 0.4, 0.03, -0.59.
-1, -0.59, -0.48051, 0.03, 0.4
Sort -369, 0, 11, 493 in decreasing order.
493, 11, 0, -369
Sort -5, -1/2, 10/3457, -8, -112 in decreasing order.
10/3457, -1/2, -5, -8, -112
Sort -25.4, 2/27, 5, 558.
-25.4, 2/27, 5, 558
Sort 0, -3, 210995, -6, -2 in ascending order.
-6, -3, -2, 0, 210995
Sort 1, 41, 0.1, -0.5, -12.4, 308 in decreasing order.
308, 41, 1, 0.1, -0.5, -12.4
Put 6820, 24, -4, 151 in decreasing order.
6820, 151, 24, -4
Sort 0, 9538090, 0.2 in increasing order.
0, 0.2, 9538090
Sort 6, 1, -9171692 in descending order.
6, 1, -9171692
Put -8/5, -67, -5, 3, -34, 4 in descending order.
4, 3, -8/5, -5, -34, -67
Put 3, 504, -4, -1, -3874, 1 in decreasing order.
504, 3, 1, -1, -4, -3874
Put -162, 13272, 123 in decreasing order.
13272, 123, -162
Sort -6, 4, -3, 1892, 2, 1, 0 in decreasing order.
1892, 4, 2, 1, 0, -3, -6
Put 1/2, 0, -0.02273, 1, 0.2, 3/2 in ascending order.
-0.02273, 0, 0.2, 1/2, 1, 3/2
Put 4, -4, 123, -6, -23, -11, 5 in descending order.
123, 5, 4, -4, -6, -11, -23
Put 14, -4, 5, 23, 96, 1, -3 in descending order.
96, 23, 14, 5, 1, -3, -4
Sort -1/58, 2, -2, -3/2831 in descending order.
2, -3/2831, -1/58, -2
Sort -3, -1/4, -3/2, -104, -138.2 in descending order.
-1/4, -3/2, -3, -104, -138.2
Put -0.444, -2/7, 805, -2/11 in ascending order.
-0.444, -2/7, -2/11, 805
Put 0.4, 1, 1.5, -0.86, 11, -2.2 in ascending order.
-2.2, -0.86, 0.4, 1, 1.5, 11
Sort 2, -130024, 74 in decreasing order.
74, 2, -130024
Sort -5, -3/5, 163048/59 in descending order.
163048/59, -3/5, -5
Put 2, 42, 0.4, 0.5, 4.02, 312 in decreasing order.
312, 42, 4.02, 2, 0.5, 0.4
Put 57, -2748, 1792 in decreasing order.
1792, 57, -2748
Put -2, -11, 30821.4, -1/3 in decreasing order.
30821.4, -1/3, -2, -11
Put 25, -4, 3, 1, 9, -6 in decreasing order.
25, 9, 3, 1, -4, -6
Sort -4, 0, -1, 2, -2, 4, -1492 in descending order.
4, 2, 0, -1, -2, -4, -1492
Sort -7, -4, 1, 1527, -17, 2, -5 in ascending order.
-17, -7, -5, -4, 1, 2, 1527
Sort 4, -18, -6939, -3 in decreasing order.
4, -3, -18, -6939
Put -3/49, -0.1, 5, -4.8, 70, -1 in ascending order.
-4.8, -1, -0.1, -3/49, 5, 70
Put -1, 0.5, 1/5, -41, 16, -118 in increasing order.
-118, -41, -1, 1/5, 0.5, 16
Sort 17, 85, -2, -4, 84, -5.
-5, -4, -2, 17, 84, 85
Sort 8/5, 0, 10, -2/5, -14, -0.3 in decreasing order.
10, 8/5, 0, -0.3, -2/5, -14
Sort 143, -115, -4, -5, 0 in ascending order.
-115, -5, -4, 0, 143
Sort 3, 94, -2, 0, -1, -199 in increasing order.
-199, -2, -1, 0, 3, 94
Put -1, -176, -4, -386, -12 in decreasing order.
-1, -4, -12, -176, -386
Sort 7/2, -4, -4739, 5 in descending order.
5, 7/2, -4, -4739
Sort 5/3, -5, -0.5, -3, -52, 2858 in ascending order.
-52, -5, -3, -0.5, 5/3, 2858
Put -3, 18737, 77, 18 in increasing order.
-3, 18, 77, 18737
Sort -1, -0.3, 6, -0.217, 30 in decreasing order.
30, 6, -0.217, -0.3, -1
Sort 4, -5, 3, -129, -1, -14 in descending order.
4, 3, -1, -5, -14, -129
Sort 904, 9, -7, 7 in decreasing order.
904, 9, 7, -7
Sort -4, 4, -63, -2, 1177, 6, -5 in increasing order.
-63, -5, -4, -2, 4, 6, 1177
Put -3, 43904, 1, -62, -7, -2 in increasing order.
-62, -7, -3, -2, 1, 43904
Sort 994, 0.2, -17, 2/5, 4, 5, 2 in ascending order.
-17, 0.2, 2/5, 2, 4, 5, 994
Sort -1/28, 25, -2, -3, -0.7, 5, 1 in ascending order.
-3, -2, -0.7, -1/28, 1, 5, 25
Sort -6, -3, -101, -4, -18 in decreasing order.
-3, -4, -6, -18, -101
Put -62, 5, -910, -5, 100 in descending order.
100, 5, -5, -62, -910
Sort 0.1, 0.3, 9886893.
0.1, 0.3, 9886893
Sort -34, -5, 2.12574 in descending order.
2.12574, -5, -34
Put 893, 3, 67334 in descending order.
67334, 893, 3
Put 2805, 2, -1, 48 in descending order.
2805, 48, 2, -1
Put -2/3, -581861, -1, -0.5 in increasing order.
-581861, -1, -2/3, -0.5
Sort -29, -5, -81316, 16 in descending order.
16, -5, -29, -81316
Put 1, 7, 12, 6, -93, 5, -4 in decreasing order.
12, 7, 6, 5, 1, -4, -93
Sort -4, -25, -1, -24, -10, 7.
-25, -24, -10, -4, -1, 7
Sort -4, 0, 15, -37138 in increasing order.
-37138, -4, 0, 15
Sort -10, 1008, -3, -2, 5, 1 in descending order.
1008, 5, 1, -2, -3, -10
Sort 1, -17856, 41 in decreasing order.
41, 1, -17856
Sort -1, -196959/11, -3 in descending order.
-1, -3, -196959/11
Put 2512, -417, -0.049 in decreasing order.
2512, -0.049, -417
Put 31, -4, 1154, -2, 5, 2, 4 in increasing order.
-4, -2, 2, 4, 5, 31, 1154
Put 1, -284, -4663 in decreasing order.
1, -284, -4663
Sort 0, 26, 20, 5, 30, 128.
0, 5, 20, 26, 30, 128
Sort 2312, 3, -2, -1, 0 in descending order.
2312, 3, 0, -1, -2
Put 2/29, 0.1, 113/281 in descending order.
11 | {
"pile_set_name": "DM Mathematics"
} |
vided by 15.
0
Let j = -11961 + 11985. Let i = 12 + -22. What is the remainder when 688/20 + 4/i is divided by j?
10
What is the remainder when 718 is divided by 6*-1 - (-3472)/48*(-5 - -8)?
85
Suppose -2*b + 7*b + 266 = 3*u, 4*u + 3*b = 374. Calculate the remainder when 381 is divided by u.
13
Let q be (-1 - -9) + (-8 - -2). Suppose c = -3*r + 6, 3*r - r = 2*c - 44. Suppose q*m - c = 18. What is the remainder when 71 is divided by m?
17
Suppose 1463 = 4*r + 209*u - 204*u, -3*r + 1098 = 3*u. What is the remainder when r is divided by (7/(-3) + -1)*-3?
7
Let b(y) = 202*y**3 - 29*y + 202*y**3 - 18 - 403*y**3 + 10*y**2. Calculate the remainder when b(-12) is divided by 15.
12
Let c(d) = 176*d + 18047. Calculate the remainder when c(-91) is divided by 5.
1
Suppose -38649 + 255712 = 2679*i + 140*i. Let k(h) = -4*h - 3. Calculate the remainder when i is divided by k(-4).
12
Suppose -4*i + 349 + 183 = -3*g, 2*g + 665 = 5*i. Calculate the remainder when 163 is divided by i.
30
Let g = -67 - -70. Suppose g*r - 155 + 56 = 0. What is the remainder when 130 is divided by r?
31
Suppose 5*z - 3*b + 3 = 3*z, 4*z - 4*b + 4 = 0. Suppose 4*a + 40 = 4*w, -2*w - w - 3*a = z. What is the remainder when 29 is divided by 5/w*8*1?
5
Let u(o) = 2*o - 6. Let s be (-100)/(-15) - (-2)/(-3). Let q be u(s). Suppose q*c - 18 = 5*c. What is the remainder when 69 is divided by c?
15
Let d(u) = -u**3 - 9*u**2 + 6*u - 3. Let b be d(-10). Let r = b + -23. Calculate the remainder when 6 is divided by 2/3 + 0 + r/6.
0
Suppose -1429 = 34*v - 2007. What is the remainder when 413 is divided by v?
5
Suppose 17*i = 14*i - 18*i + 3990. Calculate the remainder when 238 is divided by i.
48
Let q(x) = x**2 - x + 5. Let a be (3/(-9))/((-3)/36). Calculate the remainder when (3 - 940/(-14) - 4) + (-2)/14 is divided by q(a).
15
Suppose 21*v = 20*v. Suppose -16*t - 298 + 730 = v. Calculate the remainder when 103 is divided by t.
22
Let z(r) = r**2 + 10*r + 54. Calculate the remainder when 430 is divided by z(-9).
25
Suppose 0 = 2268*y - 2546*y + 1837024. Calculate the remainder when y is divided by 76.
72
Let w = -72 - -156. Suppose -2*h - 28 = -w. What is the remainder when h is divided by 2?
0
Let h = -146 - -177. Suppose -4*u - 2*d + 6*d + 40 = 0, 3*d + 15 = 2*u. Suppose -u*c + h = -89. Calculate the remainder when 19 is divided by c.
3
Let u = -234 - -38. Let x = u + 200. Calculate the remainder when (-10 + -1)/(1/(-2)) is divided by x.
2
Let l = 59 + -39. Suppose l*u - 8*u = 132. Calculate the remainder when 1/3 - (-53)/3 is divided by u.
7
Suppose -18*s - 4*i + 52 = -16*s, -2*i - 6 = -s. Let c be (-2)/7 + (-1280)/(-70). What is the remainder when (-695)/(-9) + (-4)/c is divided by s?
13
Let v = 11 - 7. Suppose 0 = 5*j - j - 40. Let k = 17 - j. Calculate the remainder when k is divided by v.
3
Let k(y) = -y**3 - 4*y**2 + 3*y - 106. Let n be k(0). What is the remainder when 194 is divided by -2*(n/4 + -7)?
60
Let b(o) = o**2 - 20*o + 9. Calculate the remainder when b(22) is divided by (11 - 0) + (2 - 0 - 7).
5
Let g(r) = r**2 + 18*r - 224. What is the remainder when 1442 is divided by g(-27)?
17
Let n = -30804 + 48621. Calculate the remainder when n is divided by 60.
57
Suppose -19*q + 73 + 115 = -78. What is the remainder when 1340 is divided by q?
10
Let l = -9 - -18. What is the remainder when (-2)/(8/(-62))*2/1 is divided by l?
4
Let g(z) = -z**3 - 2*z**2 - 3*z - 2. Let k = -354 + 604. Suppose -k*n + 255*n = 50. What is the remainder when n is divided by g(-2)?
2
Let o = -24 - -24. Suppose -4*l + o + 52 = 0. Calculate the remainder when 102 is divided by l.
11
Suppose 14*n - 10*n + 326 = 5*t, 2*n - 178 = -3*t. What is the remainder when 2167 is divided by t?
59
Let u = -13189 + 13358. Calculate the remainder when 646 is divided by u.
139
Let m = -4670 + 4964. What is the remainder when m is divided by 27?
24
Let w be (-1 - (2 - 2)) + -4 + 12. What is the remainder when 39 is divided by 2/w*-12*70/(-40)?
3
Let b(d) = -d**3 + 3*d**2 - 3*d + 4. Let n be b(4). What is the remainder when n/132 - (-501)/33 is divided by 3?
0
Calculate the remainder when ((-107433)/346)/((-1)/2) is divided by 37.
29
Let h = 5851 + -5826. What is the remainder when 792 is divided by h?
17
Suppose 46*g + 0*g = -92. Calculate the remainder when 47 is divided by 2/(4 + g) + (-27 - -39).
8
Suppose -1 = q + 8*f, -4*f + 764 - 822 = -2*q. What is the remainder when 563 is divided by q?
11
Suppose 4*b = -b + 25. Suppose 5*n - 530 = -b*z, z = 3*z - 4*n - 218. Suppose 147*a - 132*a = 540. What is the remainder when z is divided by a?
35
Suppose 15 = -5*i, -5*i = 5*w - 0*i - 20. Let u(t) = -3*t**3 + 21*t**2 + 6*t + 1. What is the remainder when u(w) is divided by 13?
4
Suppose 7*t - 20 = -4*u + 11*t, 2*u + t = 1. Calculate the remainder when u + -2 + 392 + (-3 - -5) is divided by 36.
34
Let d(h) = 40*h - 530. Calculate the remainder when d(16) is divided by 37.
36
Suppose -9*b = -20293 - 3305. Calculate the remainder when b is divided by 35.
32
Let b(y) = 225*y - 3912. What is the remainder when b(29) is divided by 869?
6
Let k = -25 - -36. Suppose 234 = 5*o - k. Let h(i) = 2*i + 7. What is the remainder when o is divided by h(3)?
10
Let l(u) = u**2 + 4*u + 6. Let n be l(-4). Suppose n - 4 = -x. Calculate the remainder when ((-1 - -1)/x)/2 - -56 is divided by 15.
11
Let v(q) = -q + 20. Suppose 0*z + 3*z - 33 = 0. What is the remainder when -1 + 12 + 12/(-2) - -12 is divided by v(z)?
8
Let y(f) = -f**2 - 9*f + 8. Calculate the remainder when y(-6) is divided by -4 - 60/(-7) - ((-12)/28 - 0).
1
Suppose 0 = -11*i + 647 + 1366. Let k = i - 134. Calculate the remainder when k is divided by 9.
4
What is the remainder when 7028 is divided by 64/(-48)*-12 - -63?
76
Suppose -63*c + 62*c = -83. Let b = 91 - c. Calculate the remainder when 103 is divided by b.
7
Suppose -3*a = -3, -8*r = -3*r + 3*a + 112. Let w = r + 130. What is the remainder when w is divided by 36?
35
Let g = 9 - -5. Suppose -g*s + 11*s = -285. What is the remainder when s is divided by (-6 + 10)*((-99)/(-12) + -2)?
20
Let o(v) = 11*v**2 - 443*v + 167. What is the remainder when o(65) is divided by 102?
99
Suppose 3*c - 12*c = -27*c + 95130. What is the remainder when c is divided by 17?
15
Suppose -2*l + 3*v - 914 = 7*v, v + 4 = 0. Let h = l - -461. Calculate the remainder when 332 is divided by h.
8
Let c = 101 + -95. Suppose 0 = 2*d + 5*q + 23, -3*q - 16 = -1. Calculate the remainder when (3/(-6))/((-3)/c) is divided by d.
0
Let j = 123 - 117. What is the remainder when 108 is divided by 938/112 + j/(-16)?
4
Suppose 4*z = -5*x + 4, -2*x + 3*z = -0 + 3. Let o be (x + -2)*(36 + 3/(-3)). Calculate the remainder when o/(-35) + 376/(1*2) is divided by 49.
43
Suppose -4*q - 12 = -a + 15, 41 = a + 3*q. Calculate the remainder when 588 is divided by a.
28
Let l = 70 + -56. Let m(g) be the second derivative of g**4/12 - 5*g**3/2 + 13*g**2 - 20*g. Calculate the remainder when m(l) is divided by 6.
0
What is the remainder when 2951 is divided by 1/9 + (-181384)/(-1476)?
122
Suppose -32*o + 1761 + 607 = 0. Calculate the remainder when 3180 is divided by o.
72
Let m(o) = -460*o**3 - 4*o**2 + 6*o + 3. What is the remainder when m(-1) is divided by 47?
30
Let t be ((1/3)/(4/(-12)))/(-1). Suppose -6*h + 11*h = 240. What is the remainder when h is divided by (13 + -3)*(2 - t)?
8
Let u(h) = 2*h**2 + 10*h - 995. Suppose 4*p = 8 + 8. What is the remainder when u(-25) is divided by p?
1
Let x(u) = -65*u**2 + 34*u**2 + 2 - 11*u + 34*u**2 - 4*u. Suppose 5*t = 64 - 4. Calculate the remainder when x(6) is divided by t.
8
Suppose 596*m + 3785 = 65918 + 17135. Let t(u) = -4*u + 5. Calculate the remainder when m is divided by t(-10).
43
Calculate the remainder when 481 is divided by 5/45 - 222*(-12)/81.
19
Let z(j) = 32*j - 51. Suppose 0 = -4*t - h + 6, -5*h - 4 = -t + 8. Let f(g) = 2*g**2 + 10*g - 6. What is the remainder when f(-8) is divided by z(t)?
3
Let i be (-48)/32*-2*155. Suppose 0 = 5*p - k - i, p - 2*k + 0*k = 93. Calculate the remainder when p is divided by 12.
9
Suppose 0 = 17*z - 12*z - 265. Suppose -13 = 2*p - z. Let a = 163 - 125. Calculate the remainder when a is divided by p.
18
Let z = 13 + 18. Let b(c) = -118*c**3 - 32*c**2 - c + 1. Calculate the remainder when b | {
"pile_set_name": "DM Mathematics"
} |
z = -21*z - 32. Calculate the lowest common multiple of z and q.
24
Calculate the common denominator of -93/20 and (-3411)/(-4536) + (-2)/4.
2520
Suppose -4*b - p + 4 = -6, 4*b = p + 14. Suppose 2*n + 9 = -l + 3*n, 2*l + 22 = b*n. Let a = l - -11. What is the smallest common multiple of 4 and a?
12
Calculate the common denominator of (30/80)/((-40)/(-38) + -1) and 35/24 + 2/(-6).
8
Suppose 3*o - 267 = -6*h, -5*o + 5*h = -3*o - 223. What is the least common multiple of 162 and o?
1782
Suppose 0 = 4*a - 4*x - 2240, 1136 = a + a + 2*x. Suppose a = i - 4*r, -471 = -2*i + r + 650. Calculate the common denominator of 3/(-7) + 604/i and -83/18.
180
Suppose d = -8*d + 594. What is the smallest common multiple of d and 60?
660
Find the common denominator of -1*(0 - (-71)/(-6)) and -69*(-1)/(-168)*-20.
42
Suppose u = -44 + 50. Calculate the lowest common multiple of u and 12.
12
Let i = 13 + 56. What is the smallest common multiple of (-52)/(-6) - (-4)/(-6) and i/18 - 2/(-12)?
8
Let l(j) = -j**2 + 2*j + 3. Let i be l(3). Suppose i = 4*p + 9 - 49. Calculate the least common multiple of p and 7.
70
Let o = 70 + -35. Calculate the least common multiple of 70 and o.
70
Let d = 26 - 13. Suppose -n + g = -7, 0*n + g - d = -n. What is the lowest common multiple of n and 10?
10
Suppose 540 = 2*t + 1890. Calculate the common denominator of (t/(-10))/(-9) - -4 and (-1 - 0)*(-93)/8.
8
Let t = 3038965/722136 - -1/30089. Calculate the common denominator of t and -7/9.
72
Let f be 3*(2 - 13537/(-3)). Let b = -1/6173746 - -502039764107/37042476. Let g = f - b. Calculate the common denominator of g and 57/14.
84
Suppose 8*i - 55 - 57 = 0. Let p(c) = c. Calculate the lowest common multiple of p(4) and i.
28
Let t = -1 - -4. Let y(m) = -2*m + 1. Let l be y(2). Let x(p) = 2*p**2 + 5*p + 5. What is the smallest common multiple of x(l) and t?
24
Let g(a) = a**2 - a + 4. Let n be g(-3). Suppose 8 + n = 3*d. What is the smallest common multiple of d and (-30)/(-4)*(-4 + (-80)/(-12))?
40
Let v(x) = -x - 7. Let s be v(-8). What is the common denominator of (s - (-51)/2)*-1 and 91/8?
8
Let u be 7561/(-3443)*(1 + 0). Let i = -24/313 + u. Find the common denominator of -20/7 and i.
77
Let k = 29/747 + 23/12948. Calculate the common denominator of k and 133/30.
2340
Suppose -9 = 2*f + f, -k - 3*f = 6. Let r(q) = q**2 - 3*q. Let i be r(k). Let m = -11 + i. Calculate the common denominator of 39/11 and m.
11
Calculate the common denominator of 6/(-3) - (-4)/((-1232)/(-636)) and 101/14.
154
Suppose 3*x = -3*x + 24. What is the lowest common multiple of 12 and 9 + (8/2)/x?
60
Let g = -96 - -106. What is the least common multiple of (8/g)/(-4) - 36/(-5) and 1?
7
Let j(h) = -h**2 + 15*h + 38. What is the least common multiple of 240 and j(17)?
240
Suppose -2*s = -s - 1. Let x be (s - 1) + -3 + 6. Suppose -x*k = -2*k - 2. What is the smallest common multiple of 4 and k?
4
Let c(y) = -y**2 + 11*y - 20. Suppose -5*u - 8 = -u. Let g = 1 - u. Calculate the smallest common multiple of c(7) and g.
24
Let u(g) = -g + 1. Let c be (-1 + (-40)/(-4))*-1. Let w be u(c). Suppose -3*o + w = 2*o. Calculate the lowest common multiple of 1 and o.
2
Let n = -30935 - -3217313/104. Calculate the common denominator of 19/26 and n.
104
Suppose 43 = 4*l - 4065. Calculate the common denominator of 1/(-2) - l/390 and -107/18.
90
Let s = -23 + 15. Calculate the common denominator of -52/5 and (-3)/4 + 29/s.
40
Let a = 76 - 36. Suppose -a = -7*l + 3*l. Suppose 4*c + c - 5*d = l, 0 = 4*c + d - 3. What is the least common multiple of c and 2?
2
Let a be (-3)/(182/88 - 2). Let b = 93 + a. Calculate the lowest common multiple of 11 and b.
539
Suppose -o + d - 6*d + 33 = 0, 35 = 5*o - d. Calculate the smallest common multiple of 40 and o.
40
Let a(p) = 15*p. Suppose -2*q - 12 = -18. Suppose -f + 2*z = 0, -4*f = -3*z - 7 - q. What is the least common multiple of f and a(1)?
60
Let z(n) = 16*n**2. Let t be z(-1). Suppose -3*l = -2*h + 14, 5*h + 59 = -5*l - 6. Calculate the least common multiple of -4*(-4)/t - l and 11.
99
Let l be 4/2282 - (-1 + 1/1). Let n be (-1)/4 - (-133489)/(-4564). Let h = l - n. What is the common denominator of h and -24/13?
26
Suppose 12 = q - 6*b + 4*b, 0 = -3*q + b + 61. Suppose 0*y + 20 = y + 5*s, 0 = s - 2. Let h = y + 2. Calculate the lowest common multiple of q and h.
132
Let k(c) = 7*c + 163. Calculate the smallest common multiple of 231 and k(-22).
693
Let p = 22 - 14. Suppose -2*z + 32 = -2*d - 14, 5*d = -z - 109. Let x = 31 + d. What is the least common multiple of x and p?
72
Let a(v) = -v**3 + 6*v**2 - 4*v - 3. Let r be a(5). Calculate the common denominator of 149/6 and ((-184)/(-44))/r - -3.
66
Let m be (-274)/14 + 12/(-28). What is the common denominator of 23/4 and (45/m)/(30/(-92))?
20
Let q(d) = d**3 - 2*d + 50. Let r = -5 - -5. What is the smallest common multiple of 22 and q(r)?
550
Let c(z) = z**2 + 2*z + 3. Let v be c(0). Suppose 3*h = -v*x + 426, -2*h - 4*x + 145 = -h. Find the common denominator of 91/4 and (13/(-39))/((-2)/h).
4
Let p = -2/801 - 21607/8010. Find the common denominator of p and 97/8.
40
Let k(c) = -3*c**2 + 18*c + 13. Let q be k(7). Let u = 22 - 8. Calculate the common denominator of -63/8 and (u/(-21))/(q/206).
24
Let u = 1264 - 936. Calculate the lowest common multiple of 80 and u.
3280
Let h(q) = -q**3 + 8*q**2 + 4*q - 4. Let i be h(7). Suppose 0 = 4*d - i + 1. Let y = -394 + 402. What is the smallest common multiple of y and d?
72
Let u = -329/710 + 70139/110760. Find the common denominator of 13/18 and u.
936
Let v(i) = 2*i - i - 146*i**2 + 16*i**3 + 0*i + 143*i**2. What is the lowest common multiple of v(1) and 16?
112
Suppose -y + 5*p = 17, -3*y + 7*p = 2*p + 11. Suppose 6*w - y*w - 30 = 0. Calculate the least common multiple of 22 and w.
110
Let b be (36/(-12))/((-3)/4). Suppose -5*o - 2*y + b*y = -23, 0 = -3*o + 2*y + 13. Calculate the smallest common multiple of 14 and o.
70
Let k(h) be the third derivative of h**4/8 + 5*h**3/3 - 5*h**2. Let r be k(-4). Calculate the smallest common multiple of 10 and 10/(20/8 + r).
20
Let c be (-2)/(-9) + (-15540)/66285. Let h = c - 29903/3928. Find the common denominator of h and 29/4.
8
Calculate the common denominator of -87/22 and ((-66)/(-220))/(62/30).
682
Let c = -6067 - -6076. Let v(d) = -d**2 - 3*d - 3. Let h be v(3). Calculate the smallest common multiple of c and (-51)/(-7) + 6/h.
63
What is the common denominator of ((-1521)/2886)/(21/5) and 123/70?
2590
Let l(y) = y**3 + 15*y**2 + 54*y + 46. Calculate the smallest common multiple of l(-10) and 7 + 0 + 1 + -2.
6
Calculate the common denominator of -35/6 and 5/((-840)/(-9))*(-278)/(-9).
84
Let p(c) be the third derivative of -c**4/24 + c**3/3 + 7*c**2. What is the smallest common multiple of 4 and p(-6)?
8
Let k = -21945656396/118437958485 + -11/16628706. Let o = -401/40810 + 8/583. Let g = o - k. What is the common denominator of g and 79/2?
74
Let n(q) = 52*q**3 + q**2 - 2*q + 1. Let c be n(1). Let s = -30 + c. Calculate the smallest common multiple of s and 12.
132
Suppose 5 = -5*q, 0 = -2*v + 3*q - 15 - 6. Let p(u) = -67*u + 14. What is the least common multiple of -4*(-10)/v*-3 and p(0)?
70
Calculate the lowest common multiple of 76 and (-12 - -2) + (121 - -3).
228
What is the common denominator of -59/20 and (20/25)/(16/24)?
20
Suppose 5*z + 20 = s, 10*s - 5*s + 3*z = -12. Let l = 5 + s. Suppose -l*t + 30 = -25. What is the smallest common multiple of 5 and t?
55
Let o = 3075 + -21477/7. Let k = -1217/154 + o. Calculate the common denominator of k and 97/6.
66
Let l(c) = -c + 9. Let u be l(-9). Let q be 60/u*3879/(-13). Let z = 231245/234 + q. What is the common denominator of z and 63/20?
180
Let d = 2177 + -2171. Suppose -3*m + 66 = -0*m. Calculate the least common multiple of m and d.
66
Let g be -8*2/(-8) + 12/2. Suppose 21*x = 13*x + g. What is the lowest common multiple of x and 6?
6
Let z = 14689/66 - 668/3. Calculate the common denominator of 11/42 and z.
462
Let w(n) = n**2 - n + 11. Let t be w(0). Suppose 2*u - 33 + t = 0. Let p(l) = l**2 - 29*l - 251. What is the lowest common multiple of u and p(36)?
11
Let b(p) = p**2 + p + 5. Let l be b(4). Suppose -5*q + 0*q = -l. Let v = 19 - 10. What is the least common multiple of q and v? | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from {d: 2, y: 1, q: 4}?
1/105
Four letters picked without replacement from {h: 1, w: 2, x: 2, l: 1, i: 2, y: 1}. Give prob of sequence liih.
1/1512
Four letters picked without replacement from {g: 2, m: 3, t: 5}. What is prob of sequence tmmm?
1/168
Calculate prob of sequence nd when two letters picked without replacement from {g: 4, d: 3, n: 1, e: 2}.
1/30
What is prob of sequence wxw when three letters picked without replacement from {w: 4, k: 3, x: 4, q: 3, l: 5}?
8/969
What is prob of sequence so when two letters picked without replacement from ossssosss?
7/36
What is prob of sequence rvvr when four letters picked without replacement from {v: 2, e: 2, r: 8, m: 3}?
2/585
Three letters picked without replacement from hcscscssyh. Give prob of sequence hyh.
1/360
Calculate prob of sequence jvj when three letters picked without replacement from pjjqhvvvjpqppipppv.
1/204
Two letters picked without replacement from bbkbkbpbubkbukb. Give prob of sequence ku.
4/105
Calculate prob of sequence eiai when four letters picked without replacement from {c: 4, e: 1, o: 1, i: 2, a: 3, t: 1}.
1/1980
Two letters picked without replacement from nnnnnnbbnnnnrnnbn. What is prob of sequence rb?
3/272
Calculate prob of sequence le when two letters picked without replacement from lklte.
1/10
Three letters picked without replacement from {w: 9, v: 9}. Give prob of sequence vww.
9/68
What is prob of sequence qqh when three letters picked without replacement from ahaqhqaqhaa?
1/55
Four letters picked without replacement from iczirzcziix. What is prob of sequence rzzc?
1/660
Calculate prob of sequence yjy when three letters picked without replacement from {j: 2, y: 5}.
4/21
Calculate prob of sequence os when two letters picked without replacement from {n: 4, h: 3, o: 1, x: 2, s: 2, q: 2}.
1/91
Two letters picked without replacement from rrrrrrrrrffrfrr. Give prob of sequence rr.
22/35
Calculate prob of sequence hhhh when four letters picked without replacement from {v: 3, e: 1, h: 5}.
5/126
Calculate prob of sequence pdp when three letters picked without replacement from odpoppopp.
5/126
Three letters picked without replacement from {g: 1, h: 2}. Give prob of sequence hhg.
1/3
What is prob of sequence iii when three letters picked without replacement from {i: 3}?
1
Four letters picked without replacement from ozooooozozzoozoyzo. What is prob of sequence yzoo?
11/1224
Four letters picked without replacement from brsnohrn. Give prob of sequence hnso.
1/840
Three letters picked without replacement from {e: 1, k: 1, j: 2, y: 1, z: 1, d: 1}. What is prob of sequence dey?
1/210
Calculate prob of sequence pa when two letters picked without replacement from ppooobbopaabobaa.
1/20
Four letters picked without replacement from {g: 8, x: 4, y: 1}. What is prob of sequence xygg?
28/2145
Four letters picked without replacement from fffffffqffqff. What is prob of sequence qffq?
1/78
Calculate prob of sequence uby when three letters picked without replacement from {y: 1, r: 1, o: 5, b: 2, a: 3, u: 1}.
1/858
What is prob of sequence zzz when three letters picked without replacement from {z: 6, e: 2}?
5/14
Calculate prob of sequence ek when two letters picked without replacement from {k: 2, t: 4, r: 1, e: 8}.
8/105
Four letters picked without replacement from cszzzsgzzzszgszgzgzs. What is prob of sequence zczz?
2/323
What is prob of sequence jjvj when four letters picked without replacement from {j: 6, v: 2}?
1/7
Calculate prob of sequence el when two letters picked without replacement from eeeenlleeelennnn.
1/10
What is prob of sequence bbj when three letters picked without replacement from {j: 11, b: 7, e: 1}?
77/969
Two letters picked without replacement from xbddddxdxxd. Give prob of sequence dd.
3/11
Calculate prob of sequence pjrx when four letters picked without replacement from pjxpjjjrj.
5/1512
Three letters picked without replacement from {l: 2, q: 6, f: 2, j: 2}. What is prob of sequence qll?
1/110
What is prob of sequence hc when two letters picked without replacement from bcccnczzcczznhhzzcn?
7/171
What is prob of sequence rx when two letters picked without replacement from {x: 7, r: 7}?
7/26
Two letters picked without replacement from {j: 1, n: 2}. Give prob of sequence nj.
1/3
Four letters picked without replacement from vlmvllmllvvlmmmhlllv. Give prob of sequence vvlm.
5/646
What is prob of sequence vzyv when four letters picked without replacement from tyaydvvaz?
1/756
What is prob of sequence dadt when four letters picked without replacement from tbdjjaj?
0
Calculate prob of sequence vt when two letters picked without replacement from {v: 2, t: 4, g: 1, b: 1}.
1/7
Four letters picked without replacement from ppwphhewpwzhhe. Give prob of sequence whwe.
2/1001
Four letters picked without replacement from eeeeneneeeeee. What is prob of sequence nene?
1/78
What is prob of sequence sd when two letters picked without replacement from {s: 2, d: 1, y: 2, k: 1, l: 2}?
1/28
What is prob of sequence xvv when three letters picked without replacement from uuuxuxuuxuvuvuux?
1/420
Two letters picked without replacement from {t: 8, r: 2}. What is prob of sequence tt?
28/45
Calculate prob of sequence yeye when four letters picked without replacement from {e: 15, y: 4}.
35/1292
What is prob of sequence zx when two letters picked without replacement from {x: 1, z: 1, o: 1}?
1/6
What is prob of sequence auk when three letters picked without replacement from kbbkubbab?
1/252
Calculate prob of sequence hoo when three letters picked without replacement from ooooooooohoooooooho.
16/171
Three letters picked without replacement from autaxqqvatq. Give prob of sequence qvv.
0
Three letters picked without replacement from {c: 9, a: 9}. What is prob of sequence aac?
9/68
What is prob of sequence qvyu when four letters picked without replacement from {u: 1, q: 1, y: 12, v: 1}?
1/2730
Two letters picked without replacement from jjjrrmrjrrmmrjmmrjrj. What is prob of sequence jm?
7/76
Calculate prob of sequence iyiy when four letters picked without replacement from {i: 3, y: 2}.
1/10
Two letters picked without replacement from {b: 3, z: 1, c: 1, m: 2, r: 3, t: 5}. What is prob of sequence tb?
1/14
Calculate prob of sequence kvm when three letters picked without replacement from mvmmnknmmkmkvmm.
8/455
Calculate prob of sequence mqqr when four letters picked without replacement from qqqqrmrqr.
5/252
Four letters picked without replacement from {n: 3, z: 2, v: 3}. What is prob of sequence vzzv?
1/140
Calculate prob of sequence acqa when four letters picked without replacement from cjjqcjwamjjaa.
1/1430
Four letters picked without replacement from wwwgwggglwwjgwwwgggl. Give prob of sequence gwlw.
16/1615
Two letters picked without replacement from {c: 3, b: 2, z: 1, p: 1, l: 3}. What is prob of sequence lb?
1/15
Two letters picked without replacement from {g: 2, a: 2, m: 5, k: 3}. What is prob of sequence kg?
1/22
Three letters picked without replacement from brbrgrrrguubuggrgg. Give prob of sequence uuu.
1/816
Four letters picked without replacement from rqsqcqdqqcdc. What is prob of sequence sqqd?
1/297
Calculate prob of sequence mrr when three letters picked without replacement from {r: 1, m: 5, f: 4}.
0
What is prob of sequence qb when two letters picked without replacement from ccqbqqqqqbbbqqb?
4/21
Calculate prob of sequence ss when two letters picked without replacement from {s: 7, b: 1, p: 1}.
7/12
Calculate prob of sequence ak when two letters picked without replacement from {k: 8, a: 4, r: 5}.
2/17
Calculate prob of sequence be when two letters picked without replacement from ezboa.
1/20
What is prob of sequence gss when three letters picked without replacement from sgsgsgssgsssssssss?
91/612
Calculate prob of sequence bl when two letters picked without replacement from lpb.
1/6
Four letters picked without replacement from uuuuuaaaauuuuu. Give prob of sequence aaau.
10/1001
What is prob of sequence occ when three letters picked without replacement from {o: 3, c: 2}?
1/10
What is prob of sequence bn when two letters picked without replacement from nhvvvyytvbvty?
1/156
Calculate prob of sequence aa when two letters picked without replacement from dadadddddd | {
"pile_set_name": "DM Mathematics"
} |
lve 12 = -10*m + 22*m for m.
1
Solve 1397*w - 1390*w = 7 for w.
1
Solve 0 = 426*t - 422*t - 8 for t.
2
Solve -532 + 28 = 63*r for r.
-8
Solve -15*r = -8*r - 28 for r.
4
Solve 0*a = -3*a + 11*a for a.
0
Solve 32 = 70*b + 522 for b.
-7
Solve 83 = k + 78 for k.
5
Solve -3*t = -36 + 39 for t.
-1
Solve -205*d + 203*d = 6 for d.
-3
Solve 0 = 6*v + 7 + 11 for v.
-3
Solve 11*b + 473 = 495 for b.
2
Solve 222 = 91*b - 324 for b.
6
Solve 9*w - 10 = 11*w for w.
-5
Solve 20*z = -117 - 23 for z.
-7
Solve -4*o + 7 + 5 = 0 for o.
3
Solve 262 = 4*u + 258 for u.
1
Solve 41 - 45 = -2*a for a.
2
Solve -20*d = -9*d - 11 for d.
1
Solve -623*a = -583*a - 80 for a.
2
Solve 327*c = 316*c - 110 for c.
-10
Solve 154*l = 153*l + 2 for l.
2
Solve -24*w = -18*w - 24 for w.
4
Solve -4*f + 17*f = 52 for f.
4
Solve 0 = -448*b + 451*b + 18 for b.
-6
Solve w - 2 = 3 for w.
5
Solve 5*o + 8 = o for o.
-2
Solve 13 = -9*p - 5 for p.
-2
Solve -16 = -14*j - 2 for j.
1
Solve -3*a + 12 = -6*a for a.
-4
Solve 0 = -3*g + 548 - 557 for g.
-3
Solve -8 = 8*s - 10*s for s.
4
Solve 20*w = 17*w + 15 for w.
5
Solve -11 + 23 = -4*l for l.
-3
Solve -30*n - 20 = -20*n for n.
-2
Solve 35*u - 34*u - 4 = 0 for u.
4
Solve 9*x - 44*x = 0 for x.
0
Solve 23*r + 30 = 17*r for r.
-5
Solve 5*s + 10 = 15 for s.
1
Solve 9*h - 4 = -22 for h.
-2
Solve 0 = -6*m + 5 - 11 for m.
-1
Solve -3*x = -7*x for x.
0
Solve 0 = -14*p + 6*p for p.
0
Solve 0 = -12*j + 5*j + 21 for j.
3
Solve -18*p + 5*p = -13 for p.
1
Solve -78*i - 22*i + 200 = 0 for i.
2
Solve -148 = 27*t - 418 for t.
10
Solve -18*i + 23*i = 20 for i.
4
Solve 61*z - 332 = -88 for z.
4
Solve 0 = -20*p + 23*p + 9 for p.
-3
Solve -42*p + 62 = -274 for p.
8
Solve -66*c = -80*c for c.
0
Solve -41*d + 26 = -138 for d.
4
Solve 6*z + 42 = -8*z for z.
-3
Solve 0 = -145*w + 154*w + 54 for w.
-6
Solve 15*z - 20 + 5 = 0 for z.
1
Solve -69*p + 198 = -3*p for p.
3
Solve 10 = -1052*s + 1051*s for s.
-10
Solve 0 = 22*t - 141 + 361 for t.
-10
Solve -5*o + 6 + 9 = 0 for o.
3
Solve -19*v + 12*v = 35 for v.
-5
Solve 1602*l = 1610*l + 16 for l.
-2
Solve j + 0 - 3 = 0 for j.
3
Solve 0 = -4*f - 17 - 3 for f.
-5
Solve 24*r = 27*r + 6 for r.
-2
Solve -12 - 8 = -4*q for q.
5
Solve -55*t - 981 = 54*t for t.
-9
Solve 0 = 15*h - 6 - 84 for h.
6
Solve 0 = i - 8*i + 42 for i.
6
Solve -422 = -21*o - 485 for o.
-3
Solve -8*z - 3*z = -22 for z.
2
Solve 1127 = p + 1119 for p.
8
Solve 4*w + 888 = 904 for w.
4
Solve -32*u + 112 = 16 for u.
3
Solve 0 = 17*g + 41 - 7 for g.
-2
Solve 19*h = 45 + 12 for h.
3
Solve -41*t - 182 = 105 for t.
-7
Solve -k = -0*k - 3 for k.
3
Solve 0*x - 16 = 8*x for x.
-2
Solve 4*i + 180 = 34*i for i.
6
Solve 0 = 3*t - 971 + 950 for t.
7
Solve -81 + 84 = 3*r for r.
1
Solve 8*p - 2*p = 0 for p.
0
Solve -24*x = 30 + 66 for x.
-4
Solve -5*x + 18 = 4*x for x.
2
Solve 0 = -4*p - 57 + 81 for p.
6
Solve 77 = 2*n + 75 for n.
1
Solve -2*r = 2*r for r.
0
Solve 0 = 11*l + 5*l for l.
0
Solve -3*g + 1 + 5 = 0 for g.
2
Solve 358 - 288 = 7*q for q.
10
Solve -23*n + 15 = -8*n for n.
1
Solve 2*t = 2 - 12 for t.
-5
Solve 2*v = 5*v + 15 for v.
-5
Solve 20 = 5*j + 5 for j.
3
Solve -26*v - 57 = -7*v for v.
-3
Solve -832 = 4*u - 804 for u.
-7
Solve 4*i + 12 = -2*i for i.
-2
Solve 53*q = 52*q for q.
0
Solve 18*p = -4*p + 88 for p.
4
Solve 0 = -7*p - 18 - 10 for p.
-4
Solve -5*x + 2*x = 12 for x.
-4
Solve -9*m = 213 - 240 for m.
3
Solve -9*u = -26 - 1 for u.
3
Solve 12*g = 9*g + 9 for g.
3
Solve -159*q = -177*q - 36 for q.
-2
Solve 36 = 7*z + 64 for z.
-4
Solve -32*t + 35*t + 15 = 0 for t.
-5
Solve -53*h + 59*h + 12 = 0 for h.
-2
Solve 26*n - 34*n - 48 = 0 for n.
-6
Solve -28*r = -0*r - 112 for r.
4
Solve 7*a - 51 = -114 for a.
-9
Solve 0 = -13*i + 10*i - 3 for i.
-1
Solve 27*h + 27 - 108 = 0 for h.
3
Solve 0 = v + 9 - 4 for v.
-5
Solve -4*t + 12202 = 12234 for t.
-8
Solve 0 = -29*i - 4*i - 132 for i.
-4
Solve 16*w = -14*w + 11*w for w.
0
Solve 0 = 39*s - 33*s - 6 for s.
1
Solve -4*h - h = -15 for h.
3
Solve 1852*h - 1868*h - 48 = 0 for h.
-3
Solve 13*c + 12 = -40 for c.
-4
Solve -35*f = -40*f + 30 for f.
6
Solve 0 = -2*u + 53 - 51 for u.
1
Solve -73*c - 21 = -313 for c.
4
Solve -287*q = -290*q - 15 for q.
-5
Solve 345*x + 126 = 363*x for x.
7
Solve 17 - 29 = 4*r for r.
-3
Solve a = 1 + 2 for a.
3
Solve 60*o + 400 = 10*o for o.
-8
Solve 0 = -5*s + 83 - 88 for s.
-1
Solve 10*z = -1503 + 1463 for z.
-4
Solve -7*d - 3 = -17 for d.
2
Solve 16*l - 13*l + 15*l = 0 for l.
0
Solve 4*h = 2*h + 4 for h.
2
Solve -84*g + 10 = -74*g for g.
1
Solve 9*k - 10*k = 0 for k.
0
Solve 0 = -1172*y + 1207*y + 315 for y.
-9
Solve -8*k = -28 - 20 for k.
6
Solve -8*j + 387 - 427 = 0 for j.
-5
Solve 17*b + 8 = 76 for b.
4
Solve -11*u + 9 - 42 = 0 for u.
-3
Solve 5*r - 1 = -6 for r.
-1
Solve 5*q - 360 = 50*q for q.
-8
Solve 22*p = -38*p + 420 for p.
7
Solve -102*o - 8 = -98*o for o.
-2
Solve 0 = -30*p - p - 155 for p.
-5
Solve 7*h + 1552 - 1517 = 0 for h.
-5
Solve 6*q + 2 = -10 for q.
-2
Solve -12 + 20 = -4*c for c.
-2
Solve -3164*y + 3161*y = 3 for y.
-1
Solve -4*a - 13 - 7 = 0 for a.
-5
Solve o = 368 - 365 for o.
3
Solve -136*l = -94*l - 378 for l.
9
Solve 56*s + 18 = 65*s for s.
2
Solve 0 = 50*b - 57*b + 28 for b.
4
Solve -113*f - 192 = -137*f for f.
8
Solve -8*h + 7*h - 1 = 0 for h.
-1
Solve -156*j - 10 = -154*j for j.
-5
Solve -4 + 44 = -8*o for o.
-5
Solve 8*a = 3*a for a.
0
Solve 0 = 18*w - 14*w - 20 for w.
5
Solve 19*w = 30*w for w.
0
Solve -325*r + 333*r + 48 = 0 for r.
-6
Solve -17*v = 10*v for v.
0
Solve -197*v = -199*v for v.
0
Solve -10 + 5 = 5*m for m.
-1
Solve 114 = -67*k + 48*k for k.
-6
Solve 0 = -11*i + 6*i for i.
0
Solve 103*i - 444 = 277 for i.
7
Solve -10*f = -530 + 610 for f.
-8
Solve -76 = 15*x - 46 for x.
-2
Solve 0 = -4*m - 2*m - 6 for m.
-1
Solve -76*w = -75*w - 2 for w.
2
Solve 38*i - 53*i = 30 for i.
-2
Solve 0 = -3*l + 16*l + 26 for l.
-2
Solve -161 - 82 = -27*z for z.
9
Solve -53*a = -47*a + 12 for a.
-2
Solve 112*n = 130*n + 144 for n.
-8
Solve -40 = -761*h + 769*h for h.
-5
Solve -11 = s - 9 for s.
-2
Solve 15*i = -5*i + 80 for i.
4
Solve 23*l - 5 = 24*l for l.
-5
Solve 78 = -19*c - 17 for c.
-5
Solve 2*r = r - 1 for r.
-1
Solve 42 = 84*n - 90*n for n.
-7
Solve -2*z - 16 = 2*z for z.
-4
Solve 118 = -46*c - 13*c for c.
-2
Solve 20*l = -23*l + 344 for l.
8
Solve -369*k + 375*k = -6 for k.
-1
Solve -26 = 38*x + 12 for x.
-1
Solve -3 = 5*n + 12 for n.
-3
Solve -12*v + 383 - 323 = 0 for v.
5
Solve 10*n - 40 = -10 for n.
3
Solve -40*n = -45*n + 15 for n.
3
Solve 109*r + 3 = 110*r for r.
3
Solve 0 = -6*p + 5*p - 1 for p.
-1
Solve 45 = 43*h - 52*h for h.
-5
Solve 2*y + 10 = 4 for y.
-3
Solve f - 3*f - 10 = 0 for f.
-5
Solve 0 = -55*s - 4*s - 295 for s.
-5
Solve -39*o + 35 = -82 for o.
3
Solve 13*m + 64 = -14 for m.
-6
Solve b - 2*b - 1 = 0 for b.
-1
Solve 40*b - 35*b = 30 for b.
6
Solve -269 + 371 = -17*w for w.
-6
Solve -9*k = -12*k for k.
0
Solve 0 = y - 328 + 327 for y.
1
Solve 0 = -3*t - 1939 + 1957 for t.
6
Solve -17*f - 17 = -0 for f.
-1
Solve -293*z + 288*z - 20 = 0 for z.
-4
Solve 5*m - 10 = 7*m for m.
-5
Solve -10*k + 99 = 39 for k.
6
Solve 80 - 82 = -2*z for z.
1
Solve -7*h - 7 + 21 = 0 for h.
2
Solve 2*g - 2 - 8 = 0 for g.
5
Solve 20*i + 48*i - 680 = 0 for i.
10
Solve 3*o - 4 = 2*o for o.
4
Solve 7*o = 4*o + 15 for o.
5
Solve 49 = -7*p + 14 for p.
-5
Solve 3*c = -3*c - 6 for c.
-1
Solve -2*y - 12 = -6*y for y.
3
Solve 0 = 102*c - 83*c + 114 for c.
-6
Solve 74 = 9*u + 11 for u.
7
Solve -13 = 19*i - 32*i for i.
1
Solve 94 = -5*o + 69 for o.
-5
Solve 239*j - 238*j - 5 = 0 for j.
5
Solve 0*w = w + 2 for w.
-2
Solve -30 = 4*b + 6*b for b.
-3
Solve 68 = -16*p - 28 for p.
-6
Solve -170*y = -131*y + 312 for y.
-8
Solve -4*z - 16*z - 40 = 0 for z.
-2
Solve -14*l + 42 = -0*l for l.
3
Solve -4*n = -11 + 23 for n.
-3
Solve -3*f + 72 = 63 for f.
3
Solve 6*x = -9*x - 60 for x.
-4
Solve 0 = -7*x + 13*x for x.
0
Solve -2*d = -2 + 12 for d.
-5
Solve 58 = 16*m + 122 for m.
-4
Solve -583*r + 20 = -587*r for r.
-5
Solve -4*d = 1 - 9 for d.
2
Solve 0 = -10*c + 21 - 61 for c.
-4
Solve 6 + 30 = 12*a for a.
3
Solve 14 = -10*y - 16 for y.
-3
Solve -17 + 15 = s for s.
-2
Solve 3*r + 62 - 50 = 0 for r.
-4
Solve 116*i + 60 = 128*i for i.
5
Solve -b - 17 + 13 = 0 for b.
-4
Solve 16*q - 3 - 29 = 0 for q.
2
Solv | {
"pile_set_name": "DM Mathematics"
} |
3*l**3 + 346 - 6*l**4 - 346 - 2*l**5 + (3*l - 3*l - l)*(-2*l + l**4 + 2*l) + l**5 - 2*l**5 + 3*l**5 + l**5 + 4*l**5 - 3*l**5 + 2*l**5 + l - l.
3*l**5 - 6*l**4 + 3*l**3
Expand -2*t**3 + t**3 + 2*t**3 + (t - t**2 - t)*(-t + 6*t - 2*t).
-2*t**3
Expand (0*m + 2*m - 3*m)*(6*m**3 + 2*m**3 + 3*m**3 + (4 - 3 + 0)*(2 - 2 - 2*m**3) + 0*m**3 - 5*m**3 + 4*m**3).
-8*m**4
Expand (-4*u + 1 - 1)*(u + u + 0*u - 2*u**2).
8*u**3 - 8*u**2
Expand (-2 - 5 - 3)*(6 - 4 - 4)*(o + 0*o - 2*o).
-20*o
Expand (-19*j - 12*j + 13*j)*(2*j**2 + 2 - 2).
-36*j**3
Expand 5*y**4 - 6*y**3 + 0*y**3 - 3*y**4 + (-2*y + 2 - 2)*(2*y**3 - 8*y**3 + y**3).
12*y**4 - 6*y**3
Expand (-3 + w + 3)*(-1 - 5 + 3)*(1 - 1 + 2*w)*(-8 + 10*w + 8).
-60*w**3
Expand (0 - 2*x + 0)*(1 + 2 + 4 - 2 + 2 + 1 + 4 - 1 - 5 - 2 + 2 + 2 - 6 + 4 + 0 + (0 + 1 + 0)*(0 + 0 + 1) - 1 - 2 + 1).
-10*x
Expand (-2*b + b + 3*b)*(-3 + 2 + 10)*(0*b**3 + 5*b**3 - 3*b**3) + (-2 + 3 - 3)*(2*b**4 + 0*b**2 + 0*b**2) - 3*b**4 - b**4 + 6*b**4.
34*b**4
Expand -v**2 + v**2 - 3*v**4 + (0 + 2 + 0)*(3*v**3 + v**4 - 3*v**3) - 3*v - v**4 + 3*v + 0*v**4 + v**4 + 0*v**4.
-v**4
Expand (0 + 2 - 5)*((1 + 1 - 4)*(3 + 3 - 4) + 5 - 2 - 2)*(-2*q + 3*q - 2*q).
-9*q
Expand (-4 + 1 + 1 + (-3 + 1 + 1)*(-3 + 6 - 4))*(4 - 4 + 2*y**2).
-2*y**2
Expand (-1 + r**2 + 1)*(-3 + 3 - 2*r)*(4*r - 2*r - 4*r).
4*r**4
Expand (33 - 69 + 37 - y)*(0 + 0 + 2*y).
-2*y**2 + 2*y
Expand (-3 + b + 1 - 2*b)*(-3*b**3 + 0*b**3 - 4*b**3).
7*b**4 + 14*b**3
Expand (1 - 1 + 2*c)*(3*c**2 - 4*c**2 - c**2) + 37*c - 37*c + 13*c**3 + 0*c**2 + 0*c**2 + 2*c**3 - 4 - 4*c**3 + 4.
7*c**3
Expand (-j**3 - j**3 + 3*j**3)*(-1 + 1 + 2*j)*(-1 + 4 - 1).
4*j**4
Expand (-30*u - 42 + 42 - u)*(-1 - 2 + 2).
31*u
Expand (-j**2 + j**2 + 2*j**2)*(-20*j**2 + 19 - 19 + 2*j).
-40*j**4 + 4*j**3
Expand (3*d - 3*d - d)*(-4 + 4 - d)*(-3*d + 3*d + d) - d**3 + d**3 + 2*d**3.
3*d**3
Expand (4 - 6 + 14)*(0*l + 5*l - 4*l).
12*l
Expand (-68 + 68 - 18*q)*(2*q + 3*q - 7*q).
36*q**2
Expand (2 - 5 + 1)*(-2*h**5 + 7*h**5 + 3*h**5)*(-6 + 0 + 2).
64*h**5
Expand (-l**2 - l + l)*(-l - 2*l + l)*(5 - 5 + 7*l).
14*l**4
Expand (3*b**2 - 3*b**2 - 2*b**5 - 3*b + 2*b**5 + 3*b + (-3*b**4 + 6*b**4 - 2*b**4)*(3*b + 0*b - b))*(-1 - 6 + 3)*(2 + 3 - 4).
-8*b**5
Expand (-2*y + y + 3*y)*(-2*y + y**4 + 2*y) - 10*y**5 - 6*y**5 + y**5 - 5*y**5 + y**2 + 5*y**5 - y**5.
-14*y**5 + y**2
Expand (-3*q - 4*q + 5*q)*(3 - 5 + 3)*(5*q**2 + 2*q**2 + q**2).
-16*q**3
Expand ((3 + 0 - 4)*(-2*o + 0*o - o) - 2*o - 2 + 2)*(4 + 0 - 6 - 2 + 2 + 2 + (-4 + 0 + 3)*(-1 + 1 + 1) - 2 + 3 + 1).
o
Expand (0*n**2 - 4*n**2 + 6*n**2)*(-4*n**3 + 5*n**3 + n**3) + 3*n**5 - n**5 + 2*n**5 + n**2 - n**2 - 2*n**5 - n**5 + 2*n**5 + n**5.
8*n**5
Expand 2*z + 2*z - 3*z + 3*z + z - 6*z + (2*z - 3*z + 2*z)*(-2 + 2 - 1) - 2*z - 2*z + 2*z + (0 + 0 + 2)*(-z + 2*z + z) - z + 3*z + 0*z.
2*z
Expand (0*g**2 + 7*g**2 - g**2)*(-2 - 2 + 0).
-24*g**2
Expand (1 - 3 + 6 + (-3 + 2 + 2)*(-4 + 6 + 0))*(-6*i**5 + 3*i**5 + 2*i**5).
-6*i**5
Expand (6*r**2 - 13 + 13)*(4 - r - 4) + 0*r**3 - r**3 - r**3.
-8*r**3
Expand 2*x**5 + 3*x**5 - 6*x**5 + (-x + 3*x - x)*(-4*x**4 + x**4 - x**4) - 4*x**5 - 5*x**5 + 5*x**5.
-9*x**5
Expand (-3 - 2 + 3)*(131 - 401 + 85)*(-3*g + 3*g - 2*g**2).
-740*g**2
Expand (1 - 1 + 2*g)*(0 - 1 - 1) - 4*g + 4*g + 3*g + 23 + 12*g - 23.
11*g
Expand 2*l**2 - 3 - 2*l**4 + 3 + (l**2 + l**2 - 3*l**2)*(-17*l + l**2 + 17*l).
-3*l**4 + 2*l**2
Expand (-t + 2*t + 0*t)*(-t - 3*t + 3*t - t + 4*t - 6*t + (3 - 5 + 1)*(-3*t + 0*t + t)).
-2*t**2
Expand 3*u**3 - 6*u**3 + u**3 + (4 + u - 4)*(-16*u**2 - 2*u**2 + 9*u**2) + 3*u**3 - 3*u**3 - u**3.
-12*u**3
Expand 2*w - 3*w**5 + 0*w + 4*w**5 + (w**4 + 2*w**3 - 2*w**3)*(2*w - 2*w + 3*w).
4*w**5 + 2*w
Expand -3*y**4 + 5*y**4 + 0*y**4 + (-2*y**3 + 0*y**3 + y**3)*(-4*y + 3 - 3).
6*y**4
Expand (1 - 2*u - 1)*(-19*u**2 - u + 2*u + 16*u**2).
6*u**3 - 2*u**2
Expand (2*u - 4*u + u)*(-2 + 5 + 1).
-4*u
Expand (-2*j + 5*j - j)*(2*j + 0*j + j)*(9*j + 6*j - 3*j).
72*j**3
Expand 2*k**3 + 3*k**3 + 5*k**3 + (4*k - 4*k + 2*k**2)*(0*k + 4*k - 2*k) - 2*k + 2*k**3 + 2*k.
16*k**3
Expand (-1 + 1 - 2)*(i - 2 + 2)*(-3*i + 3*i**2 - 6*i**2 + 4*i**2).
-2*i**3 + 6*i**2
Expand (10*b + b + 3*b)*(-2 + b**2 + 2).
14*b**3
Expand (3*l - l - 3*l)*(-3 + 2 + 0)*(-3 + 8 - 1) + 9 - 3*l - 9.
l
Expand -2*b + 2*b + b**2 + (-4*b + b + b)*(-2 + 2 - 2*b) + b**2 - 4*b**2 + b**2 + 26*b**2 - 24*b**2 + 12*b**2 + 2*b**2 - 6*b**2 + 2*b**2.
15*b**2
Expand -4*x**2 - 2*x**2 + 4*x**2 + 0 + 0 + x**2 + (-x**2 + 2*x**2 + 0*x**2)*(-6 + 3 + 1) - x**2 + x**2 + 2*x**2 + 22*x**2 - 5*x**2 + 3*x**2.
19*x**2
Expand (-k + k + k**2)*(3 + 0 - 1)*(-2*k - k**2 + 2*k) - 3*k**4 + 0*k**4 + 2*k**4.
-3*k**4
Expand -3*h - 4*h + 5*h + (4*h + 4*h - 7*h)*(1 + 3 + 1).
3*h
Expand (-11*f**3 + 2*f - 2*f)*(-2 - 1 + 0) + (-2 + 2 + 2*f)*(-f**2 - f**2 + f**2).
31*f**3
Expand -5*a**2 - 5*a**2 + 4*a**2 + (-3 + 2*a + 3)*(a - 2*a - a).
-10*a**2
Expand (-x**2 - 1 + 1)*(6*x - 5*x - 4*x)*(9 - 2*x + 6 - 13).
-6*x**4 + 6*x**3
Expand (-1 - 1 - 1)*(-4 + 4 + 2*j**2) - 2*j**2 + j - j + (-5*j + 2*j + 2*j)*(j + 0 + 0) - 3*j**2 + 5*j**2 - 3*j**2.
-10*j**2
Expand (3 + 0 + 1)*(-1 - 2*x**2 + 1)*(-2*x**2 + x**2 + 0*x**2) - 4*x**3 + 4*x**3 + 4*x**4 + 2*x**4 - x + x.
14*x**4
Expand (5*h**2 - 9*h**2 - 3*h**2)*(-2*h**2 - 2 + 2).
14*h**4
Expand (3*g + 0 + 0)*(6 - 3 - 1)*(-13*g**3 - 14*g**3 + 43*g**3)*(-g + 4*g - 4*g).
-96*g**5
Expand -1 - p + 1 + (-3 + 3 + p)*(-1 + 0 + 0) + (4*p - p - 6*p)*(1 + 0 + 0).
-5*p
Expand (0*t**2 + 6*t**2 - 3*t**2)*(2*t - 7*t + 3*t) + 0 + 0 + t**3.
-5*t**3
Expand 3*b**2 - b**2 + 0*b**2 + (23*b + 3*b - 7*b)*(-2*b + 2 - 2).
-36*b**2
Expand (3 - 5 + 0)*(-2 - 2*l + 2) - l + l - 2*l + l + 3*l - 3*l + (l - l + 3*l)*(5 + 1 - 3).
12*l
Expand (0 - 1 - 2)*(l - 4*l - l + (-4 + 5 + 0)*(-l - 2*l + l) - 5*l + l + 0*l).
30*l
Expand (-27*h + 32 - 32)*(0 + 3 - 1).
-54*h
Expand (-3*p + 3*p + p)*(-p + 3*p**3 + p) + 3*p**4 + 2*p**4 - 4*p**4.
4*p**4
Expand (o + 2 - 2)*(2 + 7*o - 2) - 4*o**2 + 2 - 5 - o + 6*o**2.
9*o**2 - o - 3
Expand (-6*m**3 + 9*m**3 + m**3 - 8*m**2)*(3 - 2*m - 3).
-8*m**4 + 16*m**3
Expand (5*m**4 - 5*m**2 - 4*m**4 + 69*m**3 - 70*m**3)*(-2 + 0 + 0)*(2 + 2*m - 2).
-4*m**5 + 4*m**4 + 20*m**3
Expand (0 + j + 0)*(2 + 3 - 6 + (-2 + 1 - 1)*(-3 + 1 + 4) + 0 + 5 - 3 - 4 - 3 + 5 + (2 + 3 - 3)*(1 + 8 - 5)).
3*j
Expand (0*x - 4*x + 3*x)*(-x - x - 3*x)*(-2*x**2 + x**2 - x**2).
-10*x**4
Expand (-2*q**3 + 2*q**3 + 4*q**4)*(q - 2*q + 2 + 4*q).
12*q**5 + 8*q**4
Expand (-103 - 215 + 449)*(3 - 3 + y).
131*y
Expand ((-r - 9*r + 4*r)*(2*r - 5*r - r) - 2*r**2 + 0*r**2 - 2*r**2 + 3*r**2 - r**2 - r**2)*(0 + 4 - 2).
42*r**2
Expand (-v**2 + v**2 - v**2)*(-1410 + 1410 + 56*v**3).
-56*v**5
Expand 10 - 6*u - 10 + (4 - 4 + 2*u)*(2 - 5 + 1) + u + u - 4*u + (-u + 0 + 0)*(0 - 1 - 1).
-10*u
Expand 5*z**5 - 5*z**5 + 9*z**5 + (-2*z**3 + 5*z**3 - 2*z**3)*(-4*z**2 + z - z).
5*z**5
Expand (1 - 1 - c)*((1 + 2*c - 1)*(-2 + 0 + 0) + 2*c + c - c - c + 4 - 4 + 0 - 2*c + 0 - 10*c + 61 - 61).
15*c**2
Expand (-3*z - 1 + 3*z + 2*z)*(3*z + 2 - 2 - z - 2*z + z + (0 + 2*z + 0)*(0 + 0 - 2) - 4*z + 0*z + 5*z - z - 3*z + 3*z).
-6*z**2 + 3*z
Expand -f**2 + 3*f**2 - f**2 + (-3*f + f + 0*f)*(-3*f - 2*f + 4*f) - 813*f + 29*f**2 + 813*f.
32*f**2
Expand (2*i**3 + 0*i**3 - i**3)*((-3*i + 7*i - 3*i)*(2*i - 3*i + 2*i) - 2*i**2 - 3*i + 3*i).
-i**5
Expand (4*v**3 - v**3 - 4*v**3)*(-1 - 1 + 0)*(-1 - 1 + 5) + (-6*v**3 + 2*v**3 + 3*v**3)*(0 - 4 + 6).
4*v**3
Expand (-6*l + 0*l - 4*l)*(-4 + 5 + 0 - 2*l**4).
20*l**5 - 10*l
Expand (-3*z**4 + 2*z**4 + 3*z**4)*(4*z + 3*z - 6*z) - 12*z**5 - 6*z**5 + 23*z**5.
7*z**5
Expand (10*l**3 + 3*l**3 + 2*l**3)*(0*l**2 + l**2 - 4*l**2).
-45*l**5
Expand (x**2 + 5*x**2 - x**2)*(2*x**2 + 3*x**2 + 0*x**2)*(-3*x + x + 4*x).
50*x**5
Expand (-46*m + 46*m - 2*m**2)*(m + 0*m + m) + m**3 + 0*m + 0*m + (0 - 1 + 2)*(-m + 2*m**3 + m) + 1 - 1 + m**3 - 2*m**3 + 5*m**3 - 4*m**3.
-m**3
Expand (-1 - 1 + 4)*(6*g**4 - 4*g**4 + 4*g**4).
12*g**4
Expand (2*y**2 + y**2 + 0*y**2)*(-1 + 5 - 2)*(-3 + 3 - 1)*(-y**3 + 0*y + 0*y).
6*y**5
Expand -12 - 12*v**2 + 12 + v**2 + v**2 - 4*v**2 + (-2*v + 0*v + 4*v)*(0*v + 0*v - 2*v) + 2*v**2 + 0*v**2 - 3*v**2.
-19*v**2
Expand (6 + 0 + 0)*(-3 + 4*j + 3).
24*j
Expand -2*m**5 + 2*m**5 + m**5 - m**5 + 5*m**4 - 5*m**4 + (0 - 2*m**3 + 0)*(2*m**2 - 3*m**2 + 2*m**2) - m**5 - 4* | {
"pile_set_name": "DM Mathematics"
} |
5*x**2 - 2*x**2)*(2*x**3 - 2*x + 2*x) + 2 - 2 + 2*x**5.
x**5
Expand (2*q - 4*q + 3*q)*(0 + 0 + 2) + (6*q - 4*q - q)*(1 + 13 - 4) + (0*q + 0*q - 2*q)*(-5 + 1 + 0).
20*q
Expand (22*q**3 - 11*q**3 + 10*q**3)*((2 + 1 - 2)*(-7 - 2 + 2) + 0 - 4 - 4).
-315*q**3
Expand (-5*k**2 + 2*k**2 + k**2)*(0*k - k + 0*k) + 1171*k**3 - 2337*k**3 + 1189*k**3 - 2*k**2.
25*k**3 - 2*k**2
Expand -2*u**4 + 3*u**4 + 0*u**4 + (2*u + u - u)*(19*u**3 - 9*u**3 - 41*u**3).
-61*u**4
Expand (2*j**3 - j**3 + 16*j**3)*(6 + 0 - 4) - 1 - 2*j**3 + 1.
32*j**3
Expand (1 + 634*z - 634*z + 826*z**2)*(4 - 4 + 1).
826*z**2 + 1
Expand (-3 + 2*k + 3)*(4*k + 3*k - 5*k) - 2*k**2 + 2*k**2 + 2*k**2 + (-k - 2*k + 7*k)*(-2*k + 0*k + k) - 3*k**2 - 31 + 31 + k.
-k**2 + k
Expand (-i - 2*i + i)*(3*i - 1 + 1) + (7*i**2 + 110 - 110)*(0 + 1 - 2).
-13*i**2
Expand (-4*m + 0*m + 3*m)*(-5*m**2 - m - 1878 + 937 + 946).
5*m**3 + m**2 - 5*m
Expand (4*c - c + 6*c)*(-5 + 1 + 2) - c + 0*c - c - c + 2*c + c + (1 - 1 - 2*c)*(2 - 5 + 2) - 2*c + 2*c + 2*c + 0*c + c + 5*c.
-8*c
Expand (-6*p + 25*p + 50*p)*(p + 2*p**2 - p).
138*p**3
Expand (221*a - 26 + 15 + 12)*(0*a - a - a).
-442*a**2 - 2*a
Expand (4*d**4 + 0*d**4 - 2*d**4)*(2 - 1 - 3)*(1554*d + 344*d + 639*d).
-10148*d**5
Expand (2*u - 3*u + 4*u + (0 - 1 - 1)*(0*u + u + u) + 57*u + 499 - 499)*(0 + 2 - 1).
56*u
Expand (-619 - 803 + 36 + 240)*((x**2 - x**2 - 2*x**2)*(-2 - 1 + 1) - 2*x**2 + 0 + 0).
-2292*x**2
Expand (-4 + 2*z + 4)*(-2 + 2 - z**2) + (-4*z**2 - 10*z**2 + 0*z**2)*(-12*z - 4*z + 7*z).
124*z**3
Expand (-3 - 2 + 6)*(1 - 1 + 2)*(8*g**3 + 0*g**3 - g**3) - 4*g**3 + 29*g**3 + 18*g**3.
57*g**3
Expand -3*x + 3*x - 8*x - x - 3*x + 3*x + (4*x + 4*x - 4*x)*(2 - 3 + 2) - 6 - x + 6.
-6*x
Expand (2*k**5 + 2*k**5 - 2*k**5)*(39 + 88 - 71).
112*k**5
Expand (-2*x + x + 0*x)*(4 + x**3 - 4) + 13*x**2 + 15*x**4 - 13*x**2.
14*x**4
Expand -2*v**2 + 2*v**2 + 2*v**2 + 0*v**2 + 4*v**2 - 3*v**2 + (2*v - 6*v + 2*v)*(4*v - 4*v + v) + 2*v - 2*v + 2*v**2 + 196*v**2 + 235*v**2 - 46*v**2.
388*v**2
Expand (0*q + q + q)*(1 + 0 - 3) - q + 2*q - 2*q + 0*q + 0*q + 2*q - 435 + 435 - 12*q.
-15*q
Expand (-5 - 1 + 3 + (1 - 3 + 1)*(2 - 4 + 4) - 28 - 27 + 43)*(-2*c + 4*c - c)*(-c**4 + 0*c**4 + 2*c**4).
-17*c**5
Expand (-j - 2*j + 2*j)*(-6*j - 8*j - 8*j) + (0*j**2 + 2*j**2 - 3*j**2)*(6 - 6 + 10).
12*j**2
Expand (y**3 + y**3 + 0*y**3 + (2*y**2 - 2*y**2 + y**2)*(-y + y + 5*y))*((-6*y + 3*y + y)*(3*y + 0*y - 2*y) - 8 + 8 + 3*y**2).
7*y**5
Expand (3*n + 4*n - 5*n)*(11 - 9 - 12) - 5*n + n + n + (0*n - 5*n + 6*n)*(1 - 2 - 1) + 2 - 2*n - 2.
-27*n
Expand (-2*l**3 + 3*l**3 + 3 - 6)*(-14 + 264 + 298).
548*l**3 - 1644
Expand (0*b - 4*b + 3*b + (4 - 2 - 3)*(b - b - 3*b) - b + 0*b + 3*b)*(8*b**3 + b**4 - 8*b**3).
4*b**5
Expand -j**2 - j**3 + j**2 + 8 + (6*j - 3*j + 3*j)*(2*j**2 - 2*j**2 - 2*j**2).
-13*j**3 + 8
Expand -5*s + 0*s + 3*s - 3 - s + 3 + (-1 - 2*s + 1)*(0 + 1 + 0) + s + s + 0*s - 10*s + 61 + 621 + 9*s + 0*s.
-4*s + 682
Expand 179*v**3 + 32*v**4 - 179*v**3 + (3 - 4 + 0)*(-1 + v + 1)*(4*v**3 - 2*v**3 - 3*v**3).
33*v**4
Expand (73*z**2 + 43*z**2 - 28*z**2)*(0*z + 0*z - z**2) + 0*z**4 + 2*z**4 - 3*z**4.
-89*z**4
Expand -68*b**2 + 118*b**4 + 68*b**2 + (-b - 2*b + 2*b)*(3*b**3 - b**3 - b**3) + (5 - 5 - b**4)*(2 + 0 - 4) + b**4 - 3*b**4 + b**4.
118*b**4
Expand (44*u**2 - 62*u**2 - 81*u**2)*(0*u - 2*u + 0*u).
198*u**3
Expand (16*t**3 + 55*t**2 - 15*t**3 + 22*t**2)*(3 - 3 + t) - 18*t**3 - 5*t**4 + 18*t**3.
-4*t**4 + 77*t**3
Expand (3 + 0 - 2)*(1 + 1 - 1)*(-19*h - h - 5*h)*(3*h + h - 3*h).
-25*h**2
Expand (-2 - 3*g + 7 - 3)*(-5*g**4 + 10*g**4 + 4*g**4).
-27*g**5 + 18*g**4
Expand 0 + a**5 + 0 + (2*a**5 + 2*a**5 - 2*a**5)*(11 + 19 - 5).
51*a**5
Expand (f**3 + 2*f**3 - f**3)*(-3*f**2 - 81*f + 82*f - 6*f**2).
-18*f**5 + 2*f**4
Expand (-3 - 1 + 1)*(-292 - 49*l + 292).
147*l
Expand (-h + 0 + 0 + (-1 - 2 + 2)*(h - 2*h + 2*h))*(-3*h**3 + 5 - 5)*(-15*h + 13*h - 15*h).
-102*h**5
Expand ((3 + m - 3)*(-3*m**2 + 4*m**2 - 3*m**2) + 36*m**3 + 50*m**3 - 1723*m - 85*m**3)*(4*m**2 + 0*m**2 - 3*m**2).
-m**5 - 1723*m**3
Expand (-4*v**2 - v**2 + 3*v**2)*(5*v - 6*v - 6*v)*(6 + 2 - 3)*(2 + 0 + 0).
140*v**3
Expand -5*t + 2*t + t - 2 + 22*t - 41*t + 0 + (1 + 3 - 2)*(3*t + 5*t - 6*t) - t - 3*t + 2*t + 0*t - 2*t + t.
-20*t - 2
Expand (-5*v + 6*v + 5*v)*(7*v**3 + 9*v**3 - 25*v**3).
-54*v**4
Expand (2 + c - 2)*(2*c**3 + 4*c**3 - 4*c**3) - 439*c + 2*c**4 + 439*c - 247.
4*c**4 - 247
Expand (-2*g + 0*g + 0*g)*(5*g**2 - 3*g**2 - g**2) + 17470*g - 8951*g - 8798*g + g**3.
-g**3 - 279*g
Expand -2 - a**2 + 4 - 12 - a + (a - 1 + 1)*(a - 5*a + 2*a).
-3*a**2 - a - 10
Expand (-t + 1 - 1)*(4*t - 4*t - 2*t**2) - 215 + 215 - 89*t**3.
-87*t**3
Expand (-2*l + 0*l + 3*l)*(80 - 133 - 93) + (1 - 1 - l)*(0 + 0 - 2).
-144*l
Expand (1 - 15 + 3)*(b**2 - 1 + 1) + 16*b**2 - 14*b**2 - 23*b**2.
-32*b**2
Expand (4 + 2*n - 4)*(-4*n**2 + 2*n**2 + 0*n**2) + n**3 + 0*n**3 - 2*n**3 + (864 - 478*n - 864)*(5 - 5 + 2*n**2).
-961*n**3
Expand ((-1 + l**3 + 1)*(-1 + 4 - 1) - 3*l**3 + 5*l**3 - 172 + 182)*(l - l - 2*l).
-8*l**4 - 20*l
Expand (-3*b - 4 - 4 - 2)*(-2 - 3*b**3 + 2 + (-2*b**2 - 1 + 1)*(b + 2*b - b) + 2*b**3 + 4 - 4 + 4*b**3 - b**2 + b**2).
3*b**4 + 10*b**3
Expand (-2*x + x + 0*x)*(4*x**3 + 0*x**3 - 2*x**3) + 7*x**4 + 38*x - 38*x - 3*x**4 - x**4 + 3*x**4 + (2*x**3 + 2 - 2)*(19*x - 198 + 198).
42*x**4
Expand (-v - 6*v + 3*v)*(11*v - 19*v - 57*v**2 + 8*v).
228*v**3
Expand (-146*u + 107*u - 702*u)*(-2*u + 4*u - u).
-741*u**2
Expand (3*a**2 - a**2 - a**2)*(0 - 2*a + 0) + 133*a**3 - 329*a**3 + 106*a**3.
-92*a**3
Expand (52 - 106 + 87)*(9*q - q + 2*q).
330*q
Expand -190*m**4 + 102*m**4 - 172*m**4 + (2*m + m - 5*m)*(-m**3 - m**3 + 0*m**3).
-256*m**4
Expand 22 - 33 + u - 1 + (2*u - 2*u - u)*(-4 + 0 + 3) + 2*u + 4 - 4.
4*u - 12
Expand g**5 - 2*g**2 + 2*g**5 - g**5 + (-g**2 + 3*g - 3*g)*(g + g**3 - g) + 1889*g**2 - 1889*g**2 + 102*g**5.
103*g**5 - 2*g**2
Expand -89*u**2 - 2213*u + 2213*u + (-3*u + 3*u - 3*u)*(0*u + 3 - u - 1).
-86*u**2 - 6*u
Expand (-5 + 18 + 18)*(-k - 4*k + 3*k).
-62*k
Expand (-2*p + 1 - 1)*(5 - 61 - 122).
356*p
Expand 6*v - 3*v + 7*v + (-1 - 2 - 7)*(3*v - 3*v - 2*v).
30*v
Expand w**5 + 2*w**5 + 0*w**5 + 0*w**5 + w**5 + 0*w**5 - w**5 + 2*w**2 - 2*w**2 + (0 + 2 + 0)*(-w**5 - 4*w + 4*w).
w**5
Expand (-6*f**2 - 2*f**2 + 4*f**2 + (2*f + f - 5*f)*(-f + f + f))*((f + 2*f - 2*f)*(-4 + 4 - f) - 3*f**2 - 2*f**2 + 4*f**2 - f**2 + 0*f**2 + 0*f**2).
18*f**4
Expand (-1 + 1 - k**2)*(-12*k - 3*k**3 + 4*k - 30*k).
3*k**5 + 38*k**3
Expand (-2*q**2 + 4 - 4)*(2 - 2 - 2*q**2) - 3*q**4 + 11*q - 11*q + (q**2 + q**3 - q**2)*(2 + q - 2) - 3*q**4 - q**4 + 5*q**4 - 3*q**4 + 13*q**4 + 9*q**4.
22*q**4
Expand -4*y**2 + 5*y**2 - 2*y**2 + (-6*y + 6*y + 2*y)*(-2*y + 0*y + y) + (10*y + 11*y + 0*y)*(y + y + 0*y) + (5 - y - 5)*(-3*y + 0*y + 2*y).
40*y**2
Expand (-91 - 286 + 20)*(-2*o**3 - 2*o**3 + o**3).
1071*o**3
Expand (0 + 1 + 1)*(-3*p**2 + 4*p**2 + p**2) + (4 - 2 - 1)*(2605*p**2 - 7 + 1 - 2579*p**2 + 2*p).
30*p**2 + 2*p - 6
Expand ((0 + 0 + 2*t**2)*(-1 + 0 + 2) - 15*t**2 - 39 + 39 + 29*t**2 + 5*t - 5*t)*(-2 + 2 - 2*t**3).
-32*t**5
Expand (-3*x**2 - x - 13 + 13)*(3 - 1 - 3 + (2 - 4 + 1)*(2 + 1 - 1)).
9*x**2 + 3*x
Expand (-3 - 12 + 0)*((b + 0*b + b)*(4 + 1 - 6) + 0 - 4*b + 0).
90*b
Expand ((0*o - 2*o + 4*o)*(-3 + 2 + 2) + 4*o + 0*o - 3*o - 22*o + 8*o - 6*o)*(-1 - 3 + 6).
-34*o
Expand (3*k**2 - k**2 + 3*k**2)*(3 - 6 - 11).
-70*k**2
Expand -1 - 2*y**2 + 1 + (2 - 1 - 2)*(0*y - y**2 + 0*y + (y + 0*y - 4*y)*(0 + 0 + 2*y) - 6*y**2 + 0*y**2 - 6*y**2).
17*y**2
Expand (3*s - s + s)*(-73 - 192 - 609 + 31).
-2529*s
Expand (a + a + 0*a)*(a - 3*a + 0*a) + (1570 - 1570 + 82*a)*(0*a - 2*a + a) + (-5*a + 0*a + 3*a)*(a + 0*a + 0*a).
-88*a**2
Expand (-76 + 329 - 598)*(0*n**4 - 2*n**4 + 3*n**4).
-345*n**4
Expand (3*m - 4*m + 0*m)*(0 - 2 + 3) + (-4 + 0 + 3)*(2 - 2 + m) + 70*m - 13*m + 25*m.
80*m
Expand -3*v**2 + 4*v**2 + 4*v**2 + 3 - 3 - 2*v**2 + (2*v + v - 2*v)*(2*v - v - 2*v) - 5*v**2 + 6*v**2 - 2*v**2 - 11*v**2 + 33 - 33.
-10*v**2
Expand q**2 - q - q**2 - q**4 + 191*q**4 + 205*q**4 - 41*q**4 + (0*q + q + q)*(-2*q**3 - 2*q**3 + 2*q**3) + 0*q**4 - q**4 + 2*q**4.
351*q**4 - q
Expand (-21*m + 33*m - 298 - 13*m)*(0 + 2 - 1).
-m - 298
Expand (2*c**4 - c**4 + 0*c**4)*(-6 - 6 + 3) + 94*c**4 - 37*c**4 - 148*c**4.
-1 | {
"pile_set_name": "DM Mathematics"
} |
- 38, -2*s - 249*m + 250*m - 7 = 0 for s.
2
Solve -20 = 5*t - 2*h, 1841*t + 5*h = 1843*t + 29 for t.
-2
Solve 5*f + 1736*u = 1741*u - 5, 5*u = -4*f - 4 for f.
-1
Solve 7*i - 31 = -4*z, 48*z - 20 = 45*z - 2*i for z.
6
Solve -82 + 4 = 4*a + 9*j, -2*a + 4*j + 46 = 0 for a.
3
Solve 0*m + 3*m - 2*r - 30 = 0, 8*m = -3*r - 45 for m.
0
Solve 3*s - 1124 + 1073 = 0, 2*j - 3*s + 61 = 0 for j.
-5
Solve 0 = 5*m + 5*h + 50, -m - 52 = -3*h - 94 for m.
3
Solve 0 = 24*o - 3*l + 102, 0*l - 50 - 2 = -2*l for o.
-1
Solve 0 = -5*z + 2*v + 6, 3*z = 4*v - 1 - 1 for z.
2
Solve j - 2 = -2*y - 4*j, y + 13*j - 22 = 0 for y.
-4
Solve -3*x = -2*u - 10, -2*u + 1309*x - 7 = 1313*x + 3 for u.
-5
Solve -i - 22*h + 18*h = -15, h - 5 = i for i.
-1
Solve 30 = -3*r - 6426*h + 6423*h, -5*h + 4 = -r for r.
-9
Solve 4*v - 24 = 0, -2*y - 2*v - 5 = -7 for y.
-5
Solve 4*c - 34 + 37 = -3*o, 9*o + 54 = 3*c for o.
-5
Solve -53*l + 37 = -58*l + 3*p, -4*p - 44 = 5*l for l.
-8
Solve -b = 4*l - 3, 128 = -b - 3*l + 130 for b.
-1
Solve 4*f - 30 + 36 = -3*c, 4*f + 12 = -4*c for c.
-6
Solve 1476*u - s = 1481*u - 1, 0 = -4*u - 4*s - 12 for u.
1
Solve t - 2*v - 6 = 0, 4*t = 3*v - 352 + 371 for t.
4
Solve -2*b = 7*w - 71, -19*w + 48 = 3*b - 15*w for b.
4
Solve 5*j = 5*u - 15, -2 = -814*j + 812*j for u.
4
Solve 460*o - 460*o + 4*d = 8, -2*o = 3*d + 14 for o.
-10
Solve -2*v - 8380*m - 36 = -8378*m, 2*v + 5*m + 93 = 0 for v.
1
Solve 8 = -i - 3*j, -2*i = -2*j - 10 + 2 for i.
1
Solve 0 = -4*i + 15*c - 17*c - 6, 63 = -9*c for i.
2
Solve b + 5 = y + 1, 3*b + 31 = 19 for y.
0
Solve 4*k + 22 = -x, -44*x = -62*x - 5*k - 61 for x.
-2
Solve p + 14*m - 19*m - 22 = 0, -3*m - 9 = -2*p for p.
-3
Solve 2*f = 8*t - 90, 192*f = -5*t + 191*f + 45 for t.
10
Solve -13*l + 46 = -59*i + 62*i, 0 = -l + 4 for i.
-2
Solve -y - 1402 + 1398 = -12*d, 2*d - 8 = 2*y for d.
0
Solve b + 2*v = 19, -3*b + v + 127 = 126 for b.
3
Solve 54 = 5*k - 740*w + 743*w, -2*w + 32 = 3*k for k.
12
Solve -378*g + 4*u + 4 = -381*g, 0 = 5*g + 2*u + 2 for g.
0
Solve 5*w + n + 4*n + 40 = 0, -5*w - 42 = 15*n - 11*n for w.
-10
Solve 0 = -5*j + 437*v - 444*v + 33, -2*v = -4*j - 4 for j.
1
Solve 5*s = -2*c - 5, 4*c + 8 = -124*s + 116*s for c.
0
Solve -3*p = 2*b + 1, -382 = 7*b - p - 367 for b.
-2
Solve 28*a + 13 - 82 = -5*t, 12 = -3*t + 2 + 1 for a.
3
Solve -19 = 4*f - k, 5*k = f - 1348 + 1367 for f.
-4
Solve -2*l + 1 = -3*f, 3*l - 6 = 5*f - 4 for f.
-1
Solve 5*k = 4*n, 4*k - 4*n = -7*n for k.
0
Solve 0 = -4*j + 3*z + 35, 5*j - 34*z + 35*z - 20 = 0 for j.
5
Solve 3*a - 220*j + 223*j - 18 = 0, -3*a = -3*j for a.
3
Solve -16 = 3*f + m, m + 6750 = 6749 for f.
-5
Solve 2*o - 5*q - 16 = -50, 2*o + 22 = 2*q for o.
-7
Solve 11*u - 54 = 2*b, -5*b + 6 - 39 = -2*u for b.
-5
Solve -t + 13*u - 35 = 0, 3*t = -4*u + 10 + 14 for t.
4
Solve w - 4*k = -25*k + 65, 5 = w + k for w.
2
Solve -q = 5*t + 24, -43*t = -4*q - 38*t + 29 for q.
1
Solve -3*o = 5*v - 49, -2*v + 58*o + 13 = 57*o for v.
8
Solve j = -5*s + 14, -s + 190*j = 185*j - 8 for s.
3
Solve 8221*l + 13 = 8224*l + 4*b, -4*l + 2*b = 34 for l.
-5
Solve 0 = 5*b + 5*f - 10, 48530*b - 9*f + 39 = 48532*b for b.
-3
Solve -5*v - 532 = 4*i - 517, 2*i - 12*v + 22 = 0 for i.
-5
Solve 3*s + 43 = 5*n, 3106*s + 6*n - 51 = 3109*s for s.
-1
Solve -3*l - 17 = 2*v, -4*v + 25*l = 28*l + 31 for v.
-7
Solve -7*a - 7 = -3*a + 1, 5*n - 4*a - 28 = 0 for n.
4
Solve 25 = -10*m + 7*m - 4*j, 6*j + 12 = 4*m for m.
-3
Solve -449*x + 445*x + 12 = -4*w, 5*x + 5 = w for w.
-5
Solve -172 = 41*l - 4*d, -4*l + 5*d - 30 + 4 = 0 for l.
-4
Solve -2*s - 12 = -2*f, 44 - 28 = -3*s + 2*f for s.
-4
Solve -4*v = w + 37, -3*v - 25 = 17*w - 19*w for v.
-9
Solve -2*m = -5*k - 42, 36 = 2*k - 7130*m + 7134*m for k.
-4
Solve -5*q - 20 = -5*b + 10*b, -2*q = -3*b + 8 for b.
0
Solve 2*s - 3*t = 9, -515*t + 518*t = s - 9 for s.
0
Solve -2*t = -97*h + 102*h + 7, -3 = -2*t + 5*h for t.
-1
Solve 0 = 2*n + 4*b - 12, 143*b - 144*b + 37 = 9*n for n.
4
Solve -4*n - 8 = 0, -4*n + 229 - 198 = 13*j for j.
3
Solve 5*k - 230 = 4*r + k - 491 + 229, -3*k = 18 for r.
2
Solve 0 = -462*y + 465*y - 3*t + 9, -3*t - 26 = 4*y for y.
-5
Solve -3*s - 55 = -5*t, 183*t - 187*t + 5*s = -83 for t.
2
Solve 0 = 5*l - 3*o - 11, -2*l - 424*o + 428*o = -10 for l.
1
Solve 96 - 26 = -4*a - 15*m, 0 = -a - 2*m - 7 for a.
5
Solve 0 = 3*p + p + 40, -12*p = -4*t + 5*t + 121 for t.
-1
Solve 0 = -4*s + 16, -3*i - 14*s - 14*s = -25*s - 12 for i.
0
Solve 4*s + 194*l + 20 = 190*l, 0 = -5*s + l - 19 for s.
-4
Solve 0 = -4*c - s - 41, -4*c - 95 - 15 = -22*s for c.
-11
Solve 5*x = 4*c - 21, 93 = 2*c + x + 72 for c.
9
Solve 0 = 4*b + 2*k + 96, -62712*b + 62707*b + 4*k = 94 for b.
-22
Solve 4*i - 5*r + 44 = 0, -37*i - 2*r = -33*i + 44 for i.
-11
Solve 0 = 3*s + 4*l + 14, -9658*s + 9657*s - 2*l = 2 for s.
-10
Solve 0 = -v + f - 9, 123*v + 4*f = 125*v + 32 for v.
-2
Solve n - b + 2309 = 2312, -3*n + 15 = -5*b for n.
0
Solve -2*s = -46*o + 47*o + 8, 32 = -2*o + 4*s for o.
-12
Solve -4*r = 2*i - 14, 19*r - 1 = 20*r + 2*i for r.
5
Solve 4*c = o - 2, -5*c - 18*o + 52 = 16 for c.
0
Solve 5*n - 1161*h - 23 = -1162*h, -3*h + 41 = n for n.
2
Solve 2675 = -3*y + 3*m + 2693, 6*y - 1 = -m for y.
1
Solve 11*l + 13 = 4*w, 2*l = -4*w + 27 - 53 for l.
-3
Solve -49 = 2*b + 6*m - 123, 0 = -3*m + 36 for b.
1
Solve 0 = -3*s - 3*q - 723 + 738, s - 5 = 3*q for s.
5
Solve -168*d + 16 = -164*d + 2*m, -24 = -4*d - 4*m for d.
2
Solve 7 + 53 = 2*g + 10*d, 4*g = 3*d + 5 for g.
5
Solve y - 10 = -2*p, 0 = -450*y + 454*y - 3*p + 4 for y.
2
Solve 0 = 4*v + 3*t + 36 - 7, 15 = -5*t for v.
-5
Solve -15 = 5*p - 9*m + 12, 0 = -2*p - 2*m + 6 for p.
0
Solve -c - 10 = -3*z, -5*c + 40 = 25089*z - 25086*z for z.
5
Solve -q + 122*n + 16 = 119*n, q + 5*n = -24 for q.
1
Solve -8*c = -12*c - 10*z - 40, -5*c - 27 = z for c.
-5
Solve 106*j = 54*h + 109*j + 111, 5*h - j + 9 = 0 for h.
-2
Solve 2*u + 7*n = -110 + 84, 19 = 3*u - 4*n for u.
1
Solve 5 = 49*a - 48*a - c, -100*a + 95*a + 13 = -c for a.
2
Solve -7*y - 73 = 5*i, 15 + 5 + 0 = -5*y for i.
-9
Solve -3*b + 28*o - 29*o = -1, 0 = b - 4*o + 4 for b.
0
Solve 101*r - 46*r = -y + 54*r - 4, 5*r - 96 = 24*y for y.
-4
Solve 26*w - 40 = 22*w + 4*a, -3*w + 60 = 3*a for w.
15
Solve -2*i = z - 8, -5*z + 8 = i + i for i.
4
Solve -1029*h - 4 = -1024*h - m, -2*h = 5*m + 7 for h.
-1
Solve 2*p - 3*v = 7, v = -p + 6*v for p.
5
Solve -24*s = 4*l - 23*s - 4, 0 = -4*l + 2*s - 20 for l.
-1
Solve -12 = -4*v - 2*s, -s + 54 = -2*v + 52 for v.
1
Solve -9*v - o + 39 = 0, -2*v - 3*o = -87 + 70 for v.
4
Solve 2*h = 4*y + 34, 212 = 2*y + 4*h + 214 for y.
-7
Solve 6 = 4*t - 2*x, -466*t = -457*t - 3*x - 18 for t.
3
Solve -6*h = -2*s - 4*h, -18 = -s - 5*h for s.
3
Solve -2*j - u - 5 = 0, 26*j = 27*j + 2*u + 4 for j.
-2
Solve 4*r - 2*b = 12, 6*r + 5*b = 9*r - 44 for r.
-2
Solve -10*g + 3*r = -14, -2*r - 1 = 3*g - 11 for g.
2
Solve -5*q - 24 + 33 + 26 = -z - 30, 5*z = 0 for q.
13
Solve -13*f + 13 = -10*f - l, 0 = 4*f - 2*l - 14 for f.
6
Solve -4 = -m + k, -227*m + 14 = -223*m - 2*k for m.
3
Solve 479*d - 483*d - 23 = -y + 5, -24 = 3*d for y.
-4
Solve 152*o - 14 = 2*z + 153*o, 5*z + 5*o = -45 for z.
-5
Solve -g + 1 = t, -g + 6*g = 4*t + 14 for t.
-1
Solve -33 = -5*v + 7*p - 41, 0 = -5*v - 5*p + 40 for v.
4
Solve -3*k = -t - 27, -4*k - 4*t - 217 = -237 for k.
8
Solve 72*h = 70*h - 8, -4*v = -5*h - 40 for v.
5
Solve -2*m + 2 = 0, -2*k - 111 = -m - 120 for k.
5
Solve -3*g - 9 = 0, 35 = -6*y + y - 5*g for y.
-4
Solve 2*c + b - 10 = 0, -71*c + 44 = -72*c + 3*b for c.
-2
Solve 235 - 250 = -5*n - 2*s, -s = -11*n + 6 for n.
1
Solve -3*l = 19*s + 67, -4*s - 31*l - 4 = -27*l for s.
-4
Solve 5*r - 47 = 3*b + 12*r, 4*r = -5*b - 40 for b.
-4
Solve -4079*g - 4*q = -4080*g - 33, -4*g + 3*q = 119 for g.
-29
Solve 2*a + 1918 - 1916 = r, -7 = -5*a + 4*r for a.
-5
Solve 0 = -7*r + 8*r - 4*a - 8, -2*a - 48 = 5*r for r.
-8
Solve -5*l - 633*v = -632*v + 3, l - 5*v = -63 for l.
-3
Solve -7*g - 77*i = -74*i + 15, -g - 4*i + 5 = 0 for g.
-3
Solve 4*o - 15 + 27 = -4*r, o = 4*r + 12 for r.
-3
Solve 4*p = 3*v - 31, 166*v - 158*v - 1 = -p for v.
1
Solve -3*x - 8 = 7*q, 138*x = 2*q + 141*x - 2 for q.
-2
Solve -5*q - 4*t - 245 = -257, 20 = 4*q - 2*t for q.
4
Solve -f = -4*n + 14, 0 = n + 3*f + 263 - 273 for n.
4
Solve -10*l + 14*l = -3*m - 25, 16 = -4*l for m.
-3
Solve -2*m | {
"pile_set_name": "DM Mathematics"
} |
l**6/4 - l**4/24 + 24*l**2 - 2*l. What is k(i)?
-29
Suppose 3*r - 11 = 25*m - 30*m, 5*m - 3*r = 59. Let g(i) = i**2 + 4*i - 72. Give g(m).
5
Let d(w) be the first derivative of -2 - 3*w**2 + 2*w - 1/3*w**3. Let x be (15 - 8)*(-19 - -8 - -10). Calculate d(x).
-5
Let f(d) be the second derivative of -d**4/12 + d**3 + 2*d. Let b = -124 - -228. Suppose 20 = -14*z + b. Determine f(z).
0
Let h = -13107 + 13106. Let k(f) = 26*f - 2. What is k(h)?
-28
Suppose 3*w = 10*w - 126. Suppose -w*q - 80 = -8*q. Let g(s) = -3*s + 8. Give g(q).
32
Let z(d) = d**2 + 16*d + 43. Let a(l) = -982*l - 2959. Let i be a(-3). What is z(i)?
4
Let z = 283 + -283. Suppose -6*g + 3*g - 4*x - 32 = z, 6*g = 5*x - 116. Let c(h) = -2*h - 39. Calculate c(g).
-7
Let d(m) = -555*m**3 + 3*m - 6*m**2 + 72 - 65 + 556*m**3. Let s be (-21)/(-4) + (-1)/4. Calculate d(s).
-3
Let u(p) = 2*p**2 - 738601 + 2*p**2 + 19*p + 738583. Determine u(1).
5
Let z(v) = -4*v - 1. Suppose j = -2*g + 65, -4*j + 43 = 2*g - g. Suppose -35 = -4*m - g. Give z(m).
-5
Let l(r) = -10*r + 165 - 324 + 163. Let i(n) = 2*n - 1. Let v(q) = -16*i(q) - 3*l(q). What is v(-7)?
18
Let s(y) = -y**2 + 63*y - 179. Let o be s(3). Let a(b) = -6*b - 1. Let v(i) = 7*i + 1. Let k be (-8)/(-6)*(-6)/4. Let t(q) = k*v(q) - 3*a(q). What is t(o)?
5
Let m(o) = -6*o**2 + 11*o**2 + 8*o + 14 + 9*o - 8*o**2. Let j be m(6). Let r(v) = -v**2 + 7*v + 9. Give r(j).
1
Let p(c) be the third derivative of c**4/24 - 17*c**3/3 - c**2. Let x = 46741 - 46741. Determine p(x).
-34
Let z be 0/(-2 - 1) - -14. Suppose -y + z = -1. Let x be 12*(40/y - 3). Let u(l) = -2*l - 2. Calculate u(x).
6
Let r = -76 - -399. Let w = -320 + r. Let v(q) = 4*q. Let a(d) = 7*d. Let n(y) = 6*a(y) - 11*v(y). Calculate n(w).
-6
Suppose 9*c - 4*c + 5*q - 25 = 0, 0 = -c + 2*q - 1. Let h(r) be the third derivative of 1/12*r**4 + 0 - 3*r**2 + 0*r - 2/3*r**3. Give h(c).
2
Suppose u - 78 = -q - 4*q, -4*q = u - 63. Let o = -9 + q. Let y(z) = 7*z**2 + z - o + 47*z**3 + 3*z - 46*z**3. What is y(-6)?
6
Let q(b) be the first derivative of 0*b + 1/24*b**4 + 20 + 6*b**2 + 1/6*b**3. Let h(l) be the second derivative of q(l). Calculate h(0).
1
Let l(v) = 3*v - 2 - 3*v**2 + 9*v + 2*v**2. Let b = 149952 + -149943. Calculate l(b).
25
Suppose -4 = 2*o - 2. Let q(x) = 9*x + 1. Let y(u) = u**2 - 11*u - 76. Let i be y(-5). Let s(n) = 13*n + 1. Let f(p) = i*s(p) - 5*q(p). Calculate f(o).
-8
Let z(f) be the second derivative of -f**5/20 + 5*f**4/4 - 13*f**3/6 - 6*f**2 + 263*f. What is z(14)?
2
Suppose -4*y + 3*a = -7*y + 12, -y - 5*a = 4. Suppose 66 = 10*i - 4. Let w(c) = -6 + 2*c + 4*c - 2*c**3 - i*c**2 + 3*c**3. Determine w(y).
-6
Let v = -5965 + 5964. Let f(r) = 5*r**2 + 16*r + 16. Determine f(v).
5
Let j be 31/3 + ((-8)/24 - -1). Suppose 13*d = 102 - j. Let h(s) = s**2 - 3*s + 3. Let u(z) = -z**2 + 4*z - 4. Let c(r) = 4*h(r) + 5*u(r). Calculate c(d).
-1
Let c(s) = 4*s + 96. Let q = 1549 - 1573. Give c(q).
0
Let s(m) = m**3 + 231*m - 2*m**2 - 229*m - 1 + m**3 + 3*m**3. Let v = 9 + 1. Suppose 6*y - v = -4. Give s(y).
4
Let n(o) = -166*o - 2990. Let i be n(-18). Let r(c) = -45*c - 1. Give r(i).
89
Let t(c) = -c**3 - 4*c**2 + 4*c + 5. Suppose 60*z + 15600 = 12*z. Let g = z + 320. Calculate t(g).
10
Let a(m) = -m**3 + m**2 + 10*m + 6. Let l(b) = -b**2 + 55*b - 336. Let c be l(7). Determine a(c).
6
Let w(r) = 4*r. Suppose 5*x - 162 = 2*h + 198, -3*x + 182 = -h. Let p = h + 167. Give w(p).
-12
Let a be (-116)/16*1*4. Let b = 25 + a. Let n(i) be the third derivative of i**6/120 + i**5/30 - 5*i**4/24 + i**3/3 - 25*i**2 - 1. Calculate n(b).
-10
Let n(k) = -k**3 + 5*k**2 + 10*k - 11. Let j = -373 + 387. Suppose j = 3*c - i, 5*c - 2*c - 5*i = -2. Calculate n(c).
13
Let y(s) = 2*s - 1. Let z be y(6). Suppose x + z - 10 = 0. Let i(n) = 3*n + 5. Let w(g) = 3*g + 6. Let f(l) = -7*i(l) + 6*w(l). Give f(x).
4
Let w = -5374 - -5368. Suppose 3*q + 2 + 50 = 5*h, 5*q = -20. Let s(r) = 0*r**2 + h*r + 8*r**2 + 4*r**2 + r**3 + 7 - 5*r**2. Calculate s(w).
-5
Let u(l) = -84*l**2 + 2*l + 1. Suppose 8*m + 11 = 4*q + 13*m, 4*m - 17 = 5*q. What is u(q)?
-85
Let q(a) be the first derivative of 0*a + 70 - 3*a**2 + 1/3*a**3. Determine q(3).
-9
Let g(v) be the third derivative of v**5/6 - 73*v**4/24 + 3*v**3 + 4113*v**2. What is g(7)?
-3
Let i(r) be the first derivative of r**2 - 3*r + 2321. Suppose 0*u + 10 = 5*u. Calculate i(u).
1
Let m be (1 - 3/5)/((-5)/600). Let u be ((-8)/16)/(0 - (-2)/m). Suppose b + 5 = 4*y + u, 3*y + b = 0. Let h(l) = -l. Determine h(y).
1
Let v(o) = o**3 + o**2 - 1. Let p be v(0). Let m(h) = -h + 4. Let c(i) = -i. Let t(y) = p*m(y) + 4*c(y). Let d be 2 + (-92)/14 - 468/(-819). Give t(d).
8
Let x(k) = k**3 + 19*k**2 - 40*k + 50. Let v = -21553 - -21532. Determine x(v).
8
Let l(b) be the first derivative of -1/8*b**4 - 1/3*b**3 + 0*b + 7/2*b**2 + 10. Let s(y) be the second derivative of l(y). Determine s(-3).
7
Let v(x) = 6*x + 51. Let r be v(-8). Let y be r/(9/(-12)) + 3. Let a(z) = 7*z**3. What is a(y)?
-7
Let w be 15/9*(-408)/(-20). Let l(u) = 1 + 34*u + w*u + u**3 - 66*u + u**2. Let y(v) = -v**3 - 5*v**2 - 3*v + 3. Let h be y(-4). Calculate l(h).
-1
Let c(i) = -i**3 - 22*i**2 - i - 22. Let t be c(-22). Suppose 0 = -t*y + 6*y - 30. Let k(r) = 5*r**2 + 5*r**2 - 5*r**2 - 4*r**2 - y. Give k(5).
20
Let v(o) = 18*o**2 - 217*o - 217. Let k be v(-1). Let r(q) = -q**3 + 16*q**2 + 34*q + 39. What is r(k)?
3
Let r(b) be the third derivative of -b**4/2 + 77*b**3/6 + 3*b**2 + b. Let k be r(6). Let a(v) = -v + 14. Calculate a(k).
9
Let f(k) = k + 19. Let a(g) = -g - 4*g**2 - g**3 - 7*g**2 + 0 - 13*g**2 - 32. Let i be a(-24). What is f(i)?
11
Suppose -209*g + 208*g - 8 = 0. Let t(u) = -u**2 - 9*u - 5. Let w be t(g). Let r(v) = -2*v**2 + 2*v + 4. Calculate r(w).
-8
Let b(a) = -11*a**2 - 4*a + 2. Let i be 7 - 11 - (-4 - 1). Determine b(i).
-13
Let n = 233 + -230. Suppose 0 = -2*l + 4*k + 6 + 16, 0 = -n*k - 12. Let o(h) = h + 2. Give o(l).
5
Let f be (1/1)/(21/147). Let j be (f + (-78)/12)*-6. Let s(y) = y**3 + 6 - 3*y**3 + y + 0 - 5 - 3*y**2. What is s(j)?
25
Suppose -5*h + 8*h - 48 = 0. Let r(q) = h + q + 0 - q**2 - 8 - 4. Suppose 5*z + 9 = -4*d, 0 = d - z + 1 - 10. Give r(d).
-8
Let o(c) be the first derivative of 33*c**3 + c**2 - 3*c + 2092. What is o(1)?
98
Let m(k) = 19*k**2 + 4*k + 15. Let d(s) = s**3 - s**2 - 14. Let t(w) = d(w) + m(w). Calculate t(-18).
-71
Suppose -c = 4*v - 30, -c + 4*c = 5*v - 46. Suppose -5*h + 7 = 3*u, u - 1 = 5*h + v. Let d(l) = -l**3 + 4*l**2 + 2. Give d(u).
2
Suppose 29*q - 30*q + 8 = 0. Suppose 0 = -p, -2*p + p = 2*t - q. Suppose 35 = 11*a - t*a. Let i(w) = w**3 - 7*w**2 + 4*w + 6. Give i(a).
-24
Let x(u) = u - 1. Let c(g) be the first derivative of 5*g**2/2 + 5*g + 36. Let o(p) = c(p) - 6*x(p). Calculate o(6).
5
Let f(k) = -k**3 - 3*k**2 + k - 8. Suppose -p - 4*l - 46 + 35 = 0, 4*p + 6 = 3*l. What is f(p)?
-11
Let g = 18 + 46. Let a = 66 - g. Let b(p) = -21*p**2 - 5*p - 21. Let l(i) = 4*i**2 + i + 4. Let r(v) = a*b(v) + 11*l(v). What is r(2)?
12
Suppose p = 4*h + 13 + 19, -2*p = -2*h - 28. Let q(j) be the first derivative of -j**4/4 - 7*j**3/3 - 5*j**2/2 - 9*j + 1. Calculate q(h).
-15
Let y(i) = -5*i**3 - i. Let b = 19 + -8. Suppose 0 = -6*f + b*f + 240. Let m = -47 - f. What is y(m)?
-6
Let i(f) be the third derivative of -f**7/840 - 7*f**6/360 + f**5/20 - f**4/3 + 12*f**3 + 85*f**2. Let h(p) be the first derivative of i(p). Calculate h(-8).
8
Let b(t) = t**2 + t - 17. Let v(q) = 5*q**2 - 1. Let f be v(1). Let y be b(f). Let j(g) = 9 - 15 + 6 - y*g. What is j(-4)?
12
Let t(x) = -85*x**2 - 98*x**2 - 96*x**2 + 267*x**2 + 1 + 14*x + x**3. What is t(10)?
-59
Let f(h) = -h**3 + 11*h + 7. Let v be ((-280)/(-24) - 11) + (-80)/(-24). Determine f(v).
-13
Let x(g) = g**2 + 10*g + 11. Let t(j) = 2*j + 10. Let w be ((-4)/38 + 2208/(-684))*3. Let f be t(w). Determine x(f).
11
Suppose 5*i - 19 = 2*o, 524*o - 522*o = 3*i - 17. Let u(l) be the third derivative of l**6/40 - l**5/60 + l**4/24 + l**2. What is u(i)?
3
Let c = -5 - -6. Suppose -5 = 2*s + c. Let l(o) = -2 + 5035*o + o**2 - 5035*o. Calculate l(s).
7
Let q(s) = 4*s - 6. Let j be q(-7). Let h = j + 44. Let w(p) = 2 - 9*p + 1 + h*p. Give w(0).
3
Let b(l) be the second derivative of l**3/6 - 6*l**2 + 2762*l. Suppose 2*a - 31 = -a - 2*p | {
"pile_set_name": "DM Mathematics"
} |
1.02 rounded to 2 decimal places?
1.02
Round -121 to the nearest 10.
-120
What is -582.1 rounded to the nearest one hundred?
-600
Round -2886000 to the nearest ten thousand.
-2890000
Round 1435 to the nearest one hundred.
1400
What is 703400 rounded to the nearest 100000?
700000
What is 0.00003693 rounded to 6 dps?
0.000037
Round 0.111683 to four decimal places.
0.1117
Round -31.899 to one decimal place.
-31.9
Round -6.833 to one decimal place.
-6.8
What is -0.0020553 rounded to three dps?
-0.002
Round 7.0375 to the nearest integer.
7
What is -5468870 rounded to the nearest ten thousand?
-5470000
What is -1696.2 rounded to the nearest 10?
-1700
Round 23.31 to the nearest integer.
23
What is -560 rounded to the nearest 1000?
-1000
Round 95500 to the nearest 10000.
100000
What is 0.000019091 rounded to 6 dps?
0.000019
What is -0.00034971 rounded to 6 decimal places?
-0.00035
Round -9871.4 to the nearest 1000.
-10000
Round -0.000383 to 4 dps.
-0.0004
Round 37090000 to the nearest 1000000.
37000000
What is 0.4955 rounded to two decimal places?
0.5
What is 0.00007204 rounded to six decimal places?
0.000072
Round -1647 to the nearest 100.
-1600
What is 0.003863 rounded to 4 decimal places?
0.0039
What is -5.074 rounded to the nearest integer?
-5
What is 1661000 rounded to the nearest one hundred thousand?
1700000
What is 111.66 rounded to the nearest integer?
112
Round -57209.1 to the nearest 100.
-57200
What is 2817 rounded to the nearest one thousand?
3000
Round -0.002511 to 4 decimal places.
-0.0025
What is 2.405 rounded to 1 decimal place?
2.4
Round -0.618 to one decimal place.
-0.6
Round -3474 to the nearest one hundred.
-3500
What is -0.0005674 rounded to five dps?
-0.00057
What is -223250 rounded to the nearest 1000?
-223000
What is 0.6209 rounded to 2 decimal places?
0.62
What is 0.002623 rounded to four decimal places?
0.0026
Round 131000 to the nearest ten thousand.
130000
Round 232.53 to the nearest integer.
233
Round 952260000 to the nearest one million.
952000000
Round -0.046785 to three decimal places.
-0.047
Round 0.000553 to 4 decimal places.
0.0006
Round 8.843 to 1 decimal place.
8.8
What is -1031.92 rounded to the nearest ten?
-1030
What is -1611.7 rounded to the nearest one hundred?
-1600
Round -1.843 to one decimal place.
-1.8
Round -8.276 to one dp.
-8.3
What is 43.72 rounded to the nearest 10?
40
Round 1.56015 to one dp.
1.6
Round 288031 to the nearest one thousand.
288000
Round -0.00023214 to four dps.
-0.0002
Round -23.7916 to one decimal place.
-23.8
What is -0.00003344 rounded to 6 decimal places?
-0.000033
Round -0.1727 to 2 dps.
-0.17
Round -9660 to the nearest 100.
-9700
Round 0.00006577 to 5 decimal places.
0.00007
What is 4971400 rounded to the nearest ten thousand?
4970000
Round 9760000 to the nearest 1000000.
10000000
What is -10139 rounded to the nearest one thousand?
-10000
What is -4000 rounded to the nearest one thousand?
-4000
What is -477200 rounded to the nearest 10000?
-480000
Round -19440000 to the nearest 1000000.
-19000000
What is -26440 rounded to the nearest ten thousand?
-30000
What is -8908 rounded to the nearest one hundred?
-8900
What is 604000 rounded to the nearest one hundred thousand?
600000
What is -0.00010038 rounded to 6 decimal places?
-0.0001
Round 10280 to the nearest 10000.
10000
What is 4824 rounded to the nearest 100?
4800
Round 0.000061402 to five dps.
0.00006
What is 6299 rounded to the nearest one hundred?
6300
What is 63.4267 rounded to zero decimal places?
63
What is 0.544 rounded to 1 dp?
0.5
Round 47797.2 to the nearest 100.
47800
What is -200.1 rounded to the nearest ten?
-200
What is 52.782 rounded to the nearest ten?
50
Round 0.000022992 to five dps.
0.00002
Round -190 to the nearest one thousand.
0
Round 0.02699 to 3 dps.
0.027
Round 0.000004133 to 6 dps.
0.000004
Round -0.0066305 to 3 dps.
-0.007
Round 0.000000788 to 7 dps.
0.0000008
Round -0.00001357 to 6 decimal places.
-0.000014
Round 158.347 to the nearest ten.
160
Round -0.000014676 to 5 decimal places.
-0.00001
Round 0.2173 to 2 decimal places.
0.22
Round -82040 to the nearest ten thousand.
-80000
Round 10.186 to 1 dp.
10.2
Round -0.004567 to 3 decimal places.
-0.005
What is 736000 rounded to the nearest one hundred thousand?
700000
What is 196.54 rounded to the nearest 10?
200
What is -10255800 rounded to the nearest ten thousand?
-10260000
What is 0.05186 rounded to 2 dps?
0.05
What is -0.00572 rounded to four dps?
-0.0057
Round 0.000177313 to 5 decimal places.
0.00018
Round -85579 to the nearest 10000.
-90000
Round -61.36 to 0 dps.
-61
Round 149438 to the nearest 10000.
150000
Round -0.000747 to four decimal places.
-0.0007
Round 0.2039 to two decimal places.
0.2
Round 10735000 to the nearest one million.
11000000
Round 30406 to the nearest ten thousand.
30000
What is -0.00023399 rounded to 4 dps?
-0.0002
What is -75.13 rounded to the nearest ten?
-80
Round 3333.11 to the nearest 100.
3300
Round -0.000003092 to 7 decimal places.
-0.0000031
What is 54170 rounded to the nearest one thousand?
54000
Round 731600 to the nearest 10000.
730000
Round -0.0000139082 to six decimal places.
-0.000014
Round 0.0000012191 to six decimal places.
0.000001
What is 93.58 rounded to the nearest ten?
90
What is -56.5 rounded to the nearest integer?
-57
What is -448700 rounded to the nearest one hundred thousand?
-400000
Round -5260 to the nearest one hundred.
-5300
Round 2713 to the nearest 100.
2700
Round 328000 to the nearest ten thousand.
330000
Round -0.57559 to 1 dp.
-0.6
What is 0.0007632 rounded to four decimal places?
0.0008
Round -0.0074 to 3 decimal places.
-0.007
Round -0.0005607 to four dps.
-0.0006
Round 6637000 to the nearest ten thousand.
6640000
Round -0.000003838 to seven dps.
-0.0000038
What is -0.0000038431 rounded to six dps?
-0.000004
What is -0.0000030325 rounded to 7 decimal places?
-0.000003
What is -12300 rounded to the nearest one thousand?
-12000
Round -0.0051143 to 5 dps.
-0.00511
What is 510 rounded to the nearest 1000?
1000
Round 471400000 to the nearest one million.
471000000
What is -957000 rounded to the nearest one hundred thousand?
-1000000
Round -0.0000173 to 6 decimal places.
-0.000017
What is 0.007589 rounded to four decimal places?
0.0076
Round 0.0000009852 to 7 decimal places.
0.000001
What is 130630000 rounded to the nearest 1000000?
131000000
Round -48260 to the nearest 1000.
-48000
What is 0.00000254 rounded to five decimal places?
0
What is -0.033282 rounded to four decimal places?
-0.0333
Round -0.0008968 to four dps.
-0.0009
Round 1.5386 to the nearest integer.
2
Round -4.6328 to two decimal places.
-4.63
What is 58000 rounded to the nearest one hundred thousand?
100000
What is -233 rounded to the nearest 10000?
0
Round 356199 to the nearest one hundred thousand.
400000
What is 0.0007424 rounded to four decimal places?
0.0007
What is 3944 rounded to the nearest one thousand?
4000
Round -1723900 to the nearest ten thousand.
-1720000
What is -0.06684 rounded to four decimal places?
-0.0668
Round 333281 to the nearest ten thousand.
330000
What is -0.493 rounded to 2 dps?
-0.49
Round 218800 to the nearest ten thousand.
220000
Round -1323400 to the nearest one hundred thousand.
-1300000
Round 3.4347 to 1 decimal place.
3.4
What is -0.00352 rounded to 3 decimal places?
-0.004
What is -115980000 rounded to the nearest one million?
-116000000
What is -4362110 rounded to the nearest ten thousand?
-4360000
What is -0.00006631 rounded to 4 decimal places?
-0.0001
What is 140683 rounded to the nearest 10000?
140000
What is -250.2 rounded to the nearest ten?
-250
What is 486000 rounded to the nearest one hundred thousand?
500000
Round -588600 to the nearest 10000.
-590000
What is 23.7 rounded to the nearest integer?
24
Round -45167000 to the nearest one hundred thousand.
-45200000
Round -0.000094472 to 6 dps.
-0.000094
What is -44870 rounded to the nearest ten thousand?
-40000
What is 0.10979 rounded to 2 decimal places?
0.11
Round -492 to the nearest 10.
-490
Round 0.36918 to 3 decimal places.
0.369
Round -0.0000411109 to 7 dps.
-0.0000411
What is 33793000 rounded to the nearest 100000?
33800000
What is -0.068731 rounded to three dps?
-0.069
Round 5.80452 to 1 decimal place.
5.8
What is 2893000 rou | {
"pile_set_name": "DM Mathematics"
} |
) -5 (e) 2/7
e
What is the nearest to -2 in -2, 7, 0.2, 2568, -5?
-2
What is the closest to -0.13 in -0.4, -43.5084, 2/7?
-0.4
What is the nearest to 0.1 in 2/13, -1.85, -9, 1, -0.25?
2/13
What is the closest to -15 in 3.8, 834, 5?
3.8
What is the nearest to 0.1 in -4, 0, 0.0286, -0.3, 10, -1?
0.0286
What is the closest to 2 in -5434, 34, 12?
12
What is the nearest to -671/7 in -3, -8.2, -1, 0.29?
-8.2
Which is the nearest to 2/5? (a) 48 (b) -4/39 (c) -1/6 (d) -37 (e) 4 (f) 1/2
f
What is the closest to -57 in 3, -2, 1/25, -1.54?
-2
What is the nearest to -0.2 in -5, 9718/11, 0.055?
0.055
What is the nearest to 2/5 in 1/6, 0.8, 6098, 1?
1/6
What is the nearest to -7572/319 in 0.5, 3/8, -1?
-1
What is the nearest to -1 in -1/342, 0.19, -1, -3/2, 10/9?
-1
Which is the nearest to -1704? (a) -1/54 (b) 2/3 (c) -5
c
What is the nearest to 0.2 in -3, 3/1450, 4, 1.2, -3/5?
3/1450
Which is the closest to -0.0659? (a) -0.5 (b) -4 (c) -0.2 (d) -2/61 (e) 3
d
Which is the nearest to 2? (a) 1 (b) 2/7 (c) 140 (d) 49/4 (e) -0.04
a
What is the closest to -0.04 in 7, -1, -2/23, 7/694?
-2/23
What is the nearest to 2 in -2/33, 40/3, 7, 0.5, -11?
0.5
What is the nearest to 1 in 1/2, 0.1, 724, 0.03, -1?
1/2
Which is the closest to -1/12? (a) -132 (b) 5 (c) -2/77 (d) 0.03 (e) -3
c
What is the nearest to -1 in 0.3, -5, -8, -38, 74, 0.5?
0.3
Which is the nearest to 0.8? (a) 0.5 (b) -1919 (c) 17.4 (d) -0.5
a
Which is the nearest to 57? (a) 2/7 (b) 0.1 (c) -59 (d) 6
d
What is the closest to -1/4 in 1560, -0.1, -76, 13, 0.4?
-0.1
Which is the nearest to -13? (a) -0.058 (b) 1201 (c) 0.5
a
What is the closest to 4 in -0.6, -1/2, -1, -15, 13/96?
13/96
What is the closest to 2/5 in 5.5, 2.6, -2, 996?
2.6
Which is the nearest to -1? (a) 6/11 (b) 2/1563 (c) -4 (d) 0.14
b
Which is the nearest to -0.1? (a) 3 (b) -0.5 (c) 3716 (d) -626/57
b
What is the closest to 1 in -2, -1/4, -1.3673, -5?
-1/4
What is the nearest to -0.13 in -1/2, 1764, 4, 2?
-1/2
Which is the nearest to 2/790781? (a) -4 (b) 0.1 (c) 4 (d) 0.26 (e) -2/7
b
What is the nearest to 2 in -4, -5, 0.1, -67657, 0?
0.1
What is the closest to -3/50 in 4, -1, -0.3, 297?
-0.3
Which is the nearest to -1? (a) -5 (b) 180 (c) 30141
a
What is the closest to 0.26 in 0.27, 24, -0.5, 5, -0.3?
0.27
What is the nearest to 1 in -3, -1, -6.2, -5, 236?
-1
Which is the closest to -3? (a) -67836/5 (b) -4 (c) 0
b
What is the closest to -2 in -14, 8, -2, 137, -2/9?
-2
What is the nearest to 7/8 in 1/5, -17, -3821?
1/5
What is the nearest to 50 in 128, 0.5, -4, 1, -2/11?
1
Which is the nearest to -0.1? (a) -0.4 (b) 1/2 (c) 149 (d) -0.2 (e) -13/9 (f) 6
d
Which is the closest to 1? (a) 10 (b) 0.229 (c) -7/2 (d) 0.1 (e) -0.2 (f) -3/5
b
What is the nearest to 77935 in -1/3, -3/2, 0.5, -5?
0.5
Which is the nearest to 8? (a) -634 (b) -0.4 (c) 1 (d) -0.2 (e) 0.1
c
What is the nearest to 53 in -14/5, 1/6, 2/11, -96?
2/11
Which is the closest to 0.078? (a) -1/2 (b) 1.2 (c) -2/11 (d) -2/9
c
Which is the closest to -3366? (a) 0.05 (b) 1 (c) 0.5 (d) 5 (e) 0.1
a
What is the nearest to 1.58 in 12.03, 1, -2?
1
What is the nearest to -2/7 in -71.36, 0, -3, -6/49?
-6/49
What is the closest to 0 in -13, 44, 9/10, -0.072?
-0.072
What is the closest to -49 in 3/2, 2, 2/5, 87236?
2/5
What is the nearest to 1/3 in 2/13, -475, 2/7, -2/7, -12/11?
2/7
What is the nearest to 2 in -42.3, -141/4, -4?
-4
Which is the nearest to 0? (a) 1 (b) -0.4 (c) 0.01 (d) -3/373 (e) -21/17
d
Which is the nearest to 0? (a) 83 (b) 19006 (c) 0
c
What is the closest to 12 in 8/9, -10, 9, -5, 1/30?
9
Which is the closest to 4? (a) -16355 (b) -1/2 (c) -4
b
Which is the nearest to 10? (a) -4/5 (b) -2/15 (c) 3034
b
Which is the nearest to -11? (a) -7/3 (b) -1 (c) -29 (d) -2 (e) 0
a
Which is the nearest to 0.4? (a) -3/758 (b) 20/13 (c) 0.05
c
Which is the closest to -4/23? (a) -1/5 (b) 26/5 (c) 5.9 (d) -2/9
a
What is the nearest to 2/5 in 6, 3, -2, 2302?
-2
What is the nearest to 0 in -2/11, -0.17, -4, 89, 17?
-0.17
What is the closest to 0.1 in -297, -1/9, -7.65?
-1/9
Which is the closest to 938? (a) 0.08 (b) 1/6 (c) 9/8 (d) 2
d
Which is the nearest to 2? (a) -1432184 (b) -0.1 (c) 14
b
Which is the nearest to -0.05516? (a) 0.3 (b) 0 (c) 4 (d) -0.8
b
Which is the nearest to -2/9? (a) -7 (b) 8 (c) -2/62871 (d) -6/5
c
What is the nearest to 13/4 in 4, 0, 3, -0.01, 2?
3
Which is the closest to 58.1? (a) 8/5 (b) 3/4 (c) 0 (d) -1
a
What is the closest to -357488 in -1, 1, -2, -2/9?
-2
Which is the closest to 7/4? (a) -0.6 (b) -1/11 (c) 7.48
b
Which is the closest to -17/3? (a) 1 (b) -6 (c) -2/3 (d) -18 (e) 0.04
b
What is the nearest to -5 in 5, -3, -1, 1/4643, -5/4?
-3
Which is the nearest to -3? (a) -5 (b) -16 (c) 6/757 (d) -2/7
a
What is the closest to 2 in -4, 0.5, -1/92, 0.1, -2/3?
0.5
Which is the closest to 0.2? (a) 1453/4 (b) -3 (c) 0.23
c
Which is the nearest to -0.1? (a) -5 (b) 2 (c) -313 (d) 47
b
What is the nearest to -3 in -65, -0.2, -1331?
-0.2
Which is the nearest to 1? (a) -254.3 (b) -0.4 (c) 5/12
c
Which is the closest to -1/2? (a) 0.02 (b) 0.3 (c) -315583
a
Which is the closest to 1.3? (a) 3 (b) -1319 (c) 28
a
What is the closest to 2/6547 in 2/7, 0.2, -1/7, 1/3, -0.4?
-1/7
What is the nearest to 0.2 in -9154, -2, 608?
-2
Which is the closest to 0.3? (a) -0.2 (b) -0.14 (c) -1 (d) -4/7 (e) -5865/7 (f) -2/5
b
What is the closest to 0.4 in -0.141, 3, -3/7, -0.09, -2/13?
-0.09
Which is the nearest to -57? (a) -3.6 (b) 2/27 (c) -2/7 (d) 26
a
What is the nearest to -0.0416 in -1, 0.565, 0, 3?
0
Which is the closest to -3/5? (a) -3 (b) 2 (c) 0.07 (d) 3/2 (e) -936 (f) 237
c
What is the nearest to -7 in 6, -0.5, 2/7, -3/5, 31/2?
-3/5
Which is the nearest to 56.5? (a) 0 (b) -2 (c) -3/7 (d) 3 (e) 0.02
d
Which is the nearest to 27460? (a) 16 (b) -0.4 (c) 5 (d) 2 (e) -5
a
Which is the nearest to 3/2? (a) -3 (b) -202 (c) -338/5
a
What is the closest to -19 in -323/12, -1/201, -0.3?
-323/12
Which is the closest to 5? (a) -350 (b) -1/2 (c) 4.7 (d) 4 (e) -2
c
Which is the closest to -0.3? (a) -8 (b) -55 (c) -3026 (d) 1
d
Which is the closest to -3? (a) -2 (b) -0.06 (c) 0.6 (d) -0.089007
a
What is the closest to 1/4 in -13, 20/99, 0.5, -0.42?
20/99
What is the closest to 2.2678 in -397, 5, -1?
5
What is the nearest to -109.4 in -2, -2/133, 22?
-2
Which is the closest to 1? (a) 211 (b) -0.5 (c) 120/17
b
What is the closest to -0.1 in -0.1, -0.82, 20, -1?
-0.1
What is the closest to 84 in -1/4, -6.978, -5?
-1/4
Which is the nearest to 0.2? (a) 26661 (b) -4 (c) -0.685
c
What is the closest to 3 in 12734, -3/4, 1/4, 5, -1?
5
Which is the closest to -1/27? (a) 4 (b) 0.1198 (c) 5.3
b
Which is the nearest to -0.033? (a) 4 (b) 62 (c) 0.077
c
What is the closest to 1.1 in -0.26, 4, -0.236994, 2?
2
What is the closest to -1 in 8, 2/27885, 3/5, 25?
2/27885
What is the closest to 6 in -90, -2, 263, -0.5?
-0.5
Which is the nearest to 0.1? (a) -0.036 (b) 483.5 (c) -2/11
a
Which is the nearest to 1? (a) -507/2 (b) -3/5 (c) -0.07
c
What is the closest to -1 in -0.4, 63/5, -137469?
-0.4
Which is the closest to -0.01? (a) -2 (b) 2445 (c) 436
a
Which is the nearest to -1/4? (a) 3 (b) -1 (c) -5 (d) -134/155 (e) -25
d
Which is the nearest to -8/7? (a) 2/5 (b) 43 (c) -23/3 (d) -1.2
d
What is the nearest to -2/9 in 6, -0.3, -1/8, 51, -11167?
-0.3
What is the nearest to 0.0349 in -3/4, 2/3, 44?
2/3
Which is the nearest to 2? (a) 0.053 (b) 1.091 (c) 9
b
What is the nearest to 6652 in -3, 20, -1?
20
Which is the nearest to 1? (a) 8 (b) 0 (c) -8 (d) 614 (e) 4
b
What is the nearest to -549 in -2/3, 0.03, 0.06, 1, 10?
-2/3
Which is the nearest to 2? (a) 18/11 (b) 6.71 (c) -863/4 (d) 0.2
a
What is the nearest to 0.1 in -2, -0.5, -1.13, -4, 3/7, -6/7?
3/7
What is the nearest to 5621 in -6, -53, -1, 0.1?
0.1
Which is the closest to 0.6178? (a) 51 (b) -0.5 (c) 4/3
c
Which is the closest to -439? (a) 18 (b) -1.2 (c) -5 (d) -13
d
What is the closest to -1 in 0.01, -1, -4/583, 13, 1?
-1
Which is the nearest to -1? (a) 2 (b) -2/5 (c) -101/3989
b
Which is the nearest to -0.1? (a) 0.3 (b | {
"pile_set_name": "DM Mathematics"
} |
v is divided by u?
27
Suppose 48*b - 65 + 17 = 0. What is the remainder when 77/11 - (0 + 0) is divided by b?
0
Suppose 3*l - 88 = c - 3*c, 8*c + 3*l - 334 = 0. Calculate the remainder when 145 is divided by c.
22
Suppose -2842 - 10469 = -62*i + 11*i. Calculate the remainder when i is divided by 139.
122
Suppose -3*m - 59 = -d + 139, 5*d - m = 1018. What is the remainder when d is divided by 51?
0
Let u(m) = 167*m - 2060. Calculate the remainder when u(14) is divided by 73.
59
Let c(l) = 20*l**2 + 1. Suppose 2*u - 3*u - 5*b = -21, -2*u + 27 = -5*b. Suppose 20*x = u*x + 236. What is the remainder when x is divided by c(1)?
17
Let w(a) = a**2 - 2*a + 12. Calculate the remainder when w(6) is divided by ((-85)/(-20) - 4)/((-4)/(-208)).
10
Let a be (5/((-10)/(-33)))/(3/8). Suppose -5*q + 4*h + a = -4*q, -3*h - 12 = 0. Calculate the remainder when 33 is divided by 42/3*24/q.
9
Let y = 378 - 300. Calculate the remainder when 166 is divided by y.
10
Suppose -942 = -3*o - y, 2*y = -6*o + 3*o + 939. Let p = 411 - o. Calculate the remainder when p is divided by 90.
6
Calculate the remainder when 4265 is divided by (-60)/(-50) + 1476/20.
65
What is the remainder when (537 + 18/(4 + -10))*(-60)/(-45) is divided by 208?
88
Let r(o) = -11*o + 13. Let d(u) = 3 - 3*u**2 - 5 + 2*u**2 - 7*u. Calculate the remainder when r(-2) is divided by d(-5).
3
Let i(y) = y**2 + 4*y - 2. Calculate the remainder when 720700/8100 + (-20)/(-810) is divided by i(-5).
2
Let k(h) = -h**2 + 13*h - 15. Let n be (-8)/(-10) + 648/90. What is the remainder when 49 is divided by k(n)?
24
Let l(x) = -12*x**2 - 5*x + 40. Let p be l(9). Let g = -780 - p. What is the remainder when g is divided by 29?
23
Let n(q) = -4*q + 23. Let y(k) = 2*k**2 - 3*k - 4. Let g be y(4). Suppose 2*h + g = -28. Calculate the remainder when n(h) is divided by 14.
13
Let s = -314 + 441. Suppose -712 = -13*c - s. What is the remainder when 73 is divided by c?
28
Let t = -9662 + 9792. Calculate the remainder when 10659 is divided by t.
129
Suppose -446 = 16*q - 1774. Suppose -16 = 8*o - 104. Calculate the remainder when q is divided by o.
6
Suppose -483*g = -318*g - 330. What is the remainder when 143 is divided by g?
1
Suppose -9 - 11 = -2*s. Let v(i) = 4*i - i + 30 - 8*i + 8*i. What is the remainder when s is divided by v(-9)?
1
Suppose 5*p + 3*p - 112 = 0. Let m(f) = -2*f + 16. Let r be m(6). Suppose r*w = 15*w - 451. Calculate the remainder when w is divided by p.
13
Suppose -17*h - 17 = -119. Calculate the remainder when 1/((-2620)/(-436) - h) is divided by 14.
11
Let u = -8919 + 13769. What is the remainder when u is divided by 21?
20
Let b = 15478 + -15421. Calculate the remainder when 1424 is divided by b.
56
Let m = -641 - -1235. Suppose -2*h = -192 - m. Suppose -14*y = -17*y + h. What is the remainder when y is divided by 33?
32
Let f(o) = 24*o - 18. Let h(t) = -12*t + 9. Let d(a) = 3*f(a) + 5*h(a). Let w(q) = 5*q + 81. Calculate the remainder when d(6) is divided by w(-13).
15
Suppose 4*l = 3*f - 124, 0 = -393*f + 396*f + 2*l - 100. What is the remainder when 931 is divided by f?
31
Suppose -10*q + 11*q = 2. Suppose -s = -q*y - 8, 46 + 18 = 3*s + 2*y. What is the remainder when 60 is divided by s - (-2 + 1)*-2?
12
Let n(a) = -2*a + 386. Calculate the remainder when 437 is divided by n(-19).
13
Let d(q) = 14*q**2 - 216*q + 857. What is the remainder when d(4) is divided by 17?
13
Let w = -18295 - -19146. Calculate the remainder when w is divided by 125.
101
Let r(j) = j**2 - 12*j + 29. Let x be r(6). Let i(y) = -8*y - 45. Calculate the remainder when 61 is divided by i(x).
6
Suppose -5184 = -56*w - 7*w - 99*w. What is the remainder when 703 is divided by w?
31
Let w = 4 - -6. Let m = 15405 - 15066. What is the remainder when m is divided by w?
9
Suppose m - w = 90, 13*m = 17*m - w - 375. What is the remainder when m is divided by 50?
45
Suppose -4*c - i - 20 = 50, -3*c = -2*i + 58. Let h be (-3)/18 - (219/c - -4). Suppose -176 = -h*r + 4*r. Calculate the remainder when r is divided by 23.
21
Let g = 332 + -317. Suppose -y - l = -83, g = -4*l + 11. What is the remainder when 332 is divided by y?
80
Suppose -4*a - 15*w + 14*w + 149 = 0, a = 4*w + 33. Calculate the remainder when 666 is divided by a.
0
Let w = 191 + -194. Let o(k) = -12*k - 18. Calculate the remainder when ((-5)/15)/((-4)/1908) is divided by o(w).
15
Suppose -17*p = 9*p - 16068. Suppose w = -594 + p. Calculate the remainder when 36 is divided by w.
12
Suppose -2*w = -2*p - 5717 - 4247, 19926 = 4*w - 2*p. Calculate the remainder when w is divided by 94.
93
Suppose -17 + 113 = 6*m. What is the remainder when 24 is divided by (36/(-8))/((-6)/m)?
0
Let a be 60/(-1) - (3 + -2 + -1). Let c = a + 75. Suppose -2*l + 33 = 2*i - c, 0 = 2*l. Calculate the remainder when 69 is divided by i.
21
Suppose -147*b = -4253 - 9712. What is the remainder when 303 is divided by b?
18
Suppose 0 = 2*z + 12 - 2. Let l = z - -84. What is the remainder when l is divided by (4 - 48/20)/((-6)/75*-1)?
19
Let f = -69 - -36. Let q = f - -38. Suppose 74 = -q*l + 204. Calculate the remainder when 51 is divided by l.
25
Suppose 3*x = 6*x - 21. Suppose -3*c = 4*c - 280. Suppose 2*t + a - 7 = -2, 3*a = 5*t - c. What is the remainder when x is divided by t?
2
Let y = -41 - -141. Suppose 0 = -19*f + 15*f + y. What is the remainder when 116 is divided by f?
16
Let h be 60/8*66/55. What is the remainder when 324 is divided by (-348)/(-14) + 0 + h/63?
24
Let y = 59 + -10. Let m = y + -49. Calculate the remainder when 114 is divided by 279/9 - (2 + m).
27
Suppose 0 = 4*k + 37*k - 5535. What is the remainder when 184 is divided by k?
49
Let t(u) be the first derivative of u**2 + 2*u - 29. Let y be t(7). Suppose -204 = y*m - 20*m. Calculate the remainder when m is divided by 13.
12
Let y(z) = -z**3 - 25*z**2 - 75*z + 52. Calculate the remainder when y(-22) is divided by 21.
19
Suppose 0 = -u - 54 + 50, 0 = 2*s + 3*u - 190. Calculate the remainder when s is divided by 78.
23
Let f(y) = y**2 - 21*y + 23. Let i be f(20). Let c(s) = 4 - i*s - 62*s**2 + 61*s**2 - 9*s. What is the remainder when c(-7) is divided by 10?
9
Let g = 1335 - 1323. What is the remainder when 416 is divided by g?
8
Let f(o) = o**3 + 13*o**2 - 8*o + 2. Let g be f(-11). What is the remainder when (g/6)/(14/21) is divided by 3 - -3 - ((-6)/(-2) + 36/(-4))?
11
Let a = -7149 + 7907. What is the remainder when 2281 is divided by a?
7
Let r(y) = 241*y - 1305. What is the remainder when r(9) is divided by 214?
8
Let p = 96 - 312. What is the remainder when 63 is divided by (p/(-12))/((-6)/(-9))?
9
Suppose -144*x - 315 = -153*x. What is the remainder when 270 is divided by x?
25
Let i(l) = -2*l**3 - 6*l**2 + 12*l + 14. Let g be i(-4). Let s(j) = 3*j**2 - 6*j - 10. Calculate the remainder when 40 is divided by s(g).
12
Suppose 0 = 3*c + 5*b - 7 - 100, 2*c - 5*b - 88 = 0. Calculate the remainder when (-304)/6*(4/8 + -2) is divided by c.
37
Let c = -161 - -352. Let d = -144 + c. What is the remainder when 59 is divided by d?
12
Suppose -15*p - 1098 = 1197. Let f = p - -164. What is the remainder when 30 is divided by f?
8
Let g = -499 + 985. Calculate the remainder when 75 is divided by 6/(-9)*g/(-12).
21
Suppose k + 0*k = -2*x + 56, 3*k = 3*x - 66. Let v(w) = 0*w - 1 - w - 10*w + x. Calculate the remainder when v(-5) is divided by 21.
17
Suppose 48*m = 51*m - 114. What is the remainder when 105 is divided by m?
29
Suppose -24*p + 3*p + 6009 = -123. Calculate the remainder when 1155 is divided by p.
279
Calculate the remainder when 980 is divided by 7 + (-225)/(-12) + 1 + 28/(-16).
5
Suppose 5*h - 26 = 69. Suppose -115*t = -75*t + 240. Let v = h + t. Calculate the remainder when 89 is divided by v.
11
Let k(w) = -382*w - 3541. What is the remainder when k(-16) is divided by 16?
11
Let s(a) = -19*a + 1. Suppose 17 = 3*j + 5. Suppose -j*d = 2*d - 96. Calculate the remainder when s(-4) is divided by d.
13
Suppose 70 - 5 = 13*j. Suppose 5*i + 40 = 5*r - 0*i, -i = -j*r + 36. Calculate the remainder when r is divided by 2/(-10)*4*-5.
3
Suppose 230 = 203*r - 193*r. What is the remainder when 5218 is divided by r?
20
Let l = -13 + 15. Suppose -l*o = -6, -1211 = -2*x + 9*o - 4*o. What is the remainder when x is divided by 28?
25
C | {
"pile_set_name": "DM Mathematics"
} |
+ b. What is the least common multiple of 11 and p?
110
What is the least common multiple of 8 and 488/20*(-15)/(-6)?
488
Let z(o) = -o - 4. Let n be z(-7). What is the least common multiple of 4 and -2*(-16 + n + 3)?
20
Calculate the common denominator of 89/6 and (97 - 11)*1/(-6).
6
Suppose -4*z + 67168 = 13940. Let r = z - 212985/16. What is the common denominator of r and -67/4?
16
What is the smallest common multiple of 12 and 2/((-1)/6*9/(-24))?
96
Let u = -28097/88 - -2535/8. What is the common denominator of -99/20 and u?
220
Find the common denominator of 79/4 and 52/65 - (-6)/4.
20
Let m = 6 - -8. Let y = -33 + m. Let j = -13 - y. Calculate the lowest common multiple of 20 and j.
60
Suppose -42*n + 41*n = -21. What is the common denominator of -8/9 and n?
9
Let q be 0 + -3 - (-10 - -3). Find the common denominator of 5 - q - 38/(-22) and 26/5.
55
Let r(o) = 1668*o**3 - 2*o**2 - o. Let g be r(-1). Let w be g/(-53) + 6/3. Let b = w - -1/106. Calculate the common denominator of b and -4/11.
22
Let c be ((-68)/6)/((-8)/12). Let q = c - 6. What is the lowest common multiple of q and 2?
22
Let c = 28 + -17. Calculate the smallest common multiple of c and 11.
11
Let l = -2/11159 - -613781/200862. What is the common denominator of l and (-6)/(-27) - 397/126?
126
Find the common denominator of -97/4 and -5 + 2 + (-48)/28.
28
Suppose -12 = 2*f - 6*f. Suppose -f*d + 18 = 5*t, t - 3*d - 3 - 15 = 0. What is the lowest common multiple of t and 10?
30
Calculate the common denominator of 28/3 and (602/105)/(4/3).
30
Calculate the common denominator of 2/12 + (-1825)/420 + 0 and -32/9.
252
Suppose -20 = -3*b + 4*w, -5*b - 2*w + 0 + 16 = 0. What is the smallest common multiple of b and 4?
4
Let p(s) = s + 8. Let l be p(-5). Calculate the common denominator of -59/2 and (26 - 3)*l/60.
20
Let y be 2/5 + (-192)/30. Suppose 2*l + 12 = 5*l. What is the lowest common multiple of ((-8)/y)/(10/150) and l?
20
Let r be (-14 - 1)*(-24)/18. What is the smallest common multiple of 8 and (r/7)/((-18)/(-63))?
40
Suppose -3*p = -22 - 62. Suppose -3*a + a + p = 0. What is the smallest common multiple of a and 8?
56
Let k be 49*919/(-10) - 0. Let i = k + 4495. Calculate the common denominator of i and -55/8.
40
Suppose 3*q + 1 = 2*v, -q + 4*q + 21 = -3*v. Calculate the lowest common multiple of 8 and (-35)/(-3) - 1/q.
24
Find the common denominator of -1 + 1 + 20/(-6) and -1 + 8 + (-184)/14.
21
Let z(k) = 7*k**3 - 2*k**2 + 3*k - 2. Let i be z(2). Let j = i - 30. What is the least common multiple of 20 and j?
220
Suppose -5*n - 2*i = -45, 4*n - 29 = -0*n - 3*i. Let w = n - 7. Let u = 25 - 15. Calculate the lowest common multiple of u and w.
20
Suppose 5*l - 36 = -k, l - 6 - 6 = -5*k. Let w = 2 - -2. Calculate the least common multiple of w/(-8) + 6/4 and l.
7
Let a be 284*(-4 + 3)/(-4). What is the common denominator of 45/22 and a*((-2)/(-28))/(-1)?
154
Let d = 18 + -29. Let j = 29 + d. Find the common denominator of 109/20 and 1442/72 - (-4)/j.
20
Let n = 20 - 14. Let j(k) = -9*k + 4. Let g be j(-3). Suppose 0 = -3*a - 4*i + g, 0*a - 5*i + 30 = 2*a. What is the least common multiple of n and a?
30
Let x = -236/67 + 10427/1876. Calculate the common denominator of x and 38/5.
140
Let v(t) = t**2 + 2*t + 2. Let b be v(-1). Suppose 4*y - b = 7. Calculate the lowest common multiple of 2 and y.
2
What is the least common multiple of 18 and 33*((-14)/(-3) - 4)?
198
Suppose -6*r + 9 = -3. What is the least common multiple of r and 16?
16
Let c = -21 - -31. Let t be 3/(-6) - c/(-4). Find the common denominator of (-4)/t - 32/(-7) and -97/4.
28
Let g = 19/134 - -2671/536. What is the common denominator of -59/9 and g?
72
Let q(u) = 0*u**2 - 2*u - 2*u + 1 + u**3 - u + 4*u**2. Let y be q(-5). Suppose 3*r + y = 13. Calculate the least common multiple of 10 and r.
20
Let g = 3919 - 27514/7. Let v = g + 447/35. Let d = -4074 + 44844/11. Calculate the common denominator of d and v.
55
What is the common denominator of (-106)/9*6/4 and ((-16)/10)/(3 - (-15)/(-6))?
15
Find the common denominator of (-2*2/100)/((-2)/(-265)) and -43/11.
110
Suppose j + 0*q = -4*q - 6, -3*q - 57 = -3*j. Let b(x) = -x**3 + 7*x**2 + 17*x + 12. Calculate the least common multiple of j and b(9).
42
Let d = 261433/22 - 11886. Let u = -1738 - -7001/4. Calculate the common denominator of u and d.
44
Let z = -2376 + 4661/2. Find the common denominator of z and 19/33 + (-4)/(-12).
22
Suppose -64 = 31*q - 35*q. What is the lowest common multiple of q and 20?
80
Suppose 3 = 2*z - 5*f, -z = -2*z + 3*f. Let m = 2 + z. Calculate the lowest common multiple of 2 and m.
22
Let i(j) = -j**2 - 6*j - 8. Let r be i(-13). Find the common denominator of (-60)/r*27/(-6) and 85/(-6) + 6/9.
22
Find the common denominator of -57/8 and 2 - (-12)/(-80)*86.
40
Let n = 10761694991/3189690 + 10/318969. Let x = n + -3382. Find the common denominator of x and 11/20.
20
Suppose 0 = -2*t + 5*t. Let u be ((-1 - -2) + -2)*5. What is the common denominator of 2 - (t - 11/u) and -47/5?
5
Suppose -4*a + l = -111 - 59, -5*a - 2*l + 206 = 0. Calculate the smallest common multiple of 8 and a.
168
What is the common denominator of (-79)/(-6) + (6 + -10 - -6) and 109/18?
18
Suppose 4*q + 11 = -89. Suppose 3*t + 28 = 3*m - 4*m, -5*m = -t - 36. Find the common denominator of q/8 - (-2 + 5) and t.
8
Calculate the common denominator of -91/8 and 470/116 - (-5 + 10).
232
Let w = -3826/37 + 387743/3700. Let j = 51/25 - w. Calculate the common denominator of 33/4 and j.
20
Calculate the common denominator of -87/62 and (296/(-72) + 4)/((-4)/(-186)).
186
Let l(r) = 0*r + r + 10*r. Calculate the lowest common multiple of 2 and l(1).
22
Let t = 4666 - 32610/7. Find the common denominator of t and 48/5.
35
Suppose 34 = 4*h + 2*r, h - 4*r - 4 + 18 = 0. Calculate the lowest common multiple of 18 and 0 - -12*9/h.
18
Suppose -3*o - 5 = -8*o. What is the least common multiple of 16 and o*3/2*8?
48
Let m(l) = -3*l**3 - 5*l**2 + l + 5. Let c(j) = 2*j**3 + 4*j**2 - j - 4. Let o(w) = -4*c(w) - 3*m(w). What is the smallest common multiple of o(0) and 1?
1
Let l be (-4)/6 + (-1640)/6. Find the common denominator of 3/4 + (-70)/6 and (1/2)/(18/l).
36
Let t = 17 - 13. Calculate the lowest common multiple of 4 and t.
4
Let p = -2 + 10. Calculate the lowest common multiple of 20 and p.
40
Let a be 1673/7488 - 4/18. Let v = 6759/832 + a. Let j = 4/123 + 1948/615. Find the common denominator of v and j.
40
Let b = 36 - -14. What is the least common multiple of 10 and b?
50
Let k = 53538/5 + -10658. Let j = k - 1941/35. Calculate the common denominator of 61/9 and j.
63
Let h = 7951/10 - 801. Find the common denominator of h and (-125)/(-22) + 2 - 3.
110
Suppose -4*b + 16 = 0, b + 2 = 4*t - 10. What is the least common multiple of t and 10?
20
Let m(g) = -g**2 - 6*g + 5. Let b = -69 + 75. Calculate the least common multiple of m(-5) and b.
30
Let v = -2 + 8. Let l = -3 + v. Calculate the lowest common multiple of l and 11.
33
Let m be 14 - 0*(-1 - 0). Suppose -m + 2 = -4*t. Suppose 0 = t*w - 18 - 9. Calculate the smallest common multiple of w and 5.
45
Let o = -38 - -27. Calculate the common denominator of 3/o*68/12 and 49/3.
33
Suppose 2*s = -0*s + 28. Let b be (-2)/s + (-184)/(-1533). Let i = b + -13787/438. What is the common denominator of -137/6 and i?
6
Suppose -4*x + 3*q + q = 4, 0 = -5*q + 25. Calculate the smallest common multiple of (-25)/(-3) + x/6 and ((-4)/10)/((-5)/75).
18
Calculate the common denominator of (-1)/((-95)/(-79) - 1) and -139/30.
240
Let k = 1129339/98916 + -4/8243. Find the common denominator of 2/15 and k.
60
Find the common denominator of -1/20 and 690/(-48) + -1 + 4 + -1.
40
Suppose 4*a + a - 10 = 0. Suppose -a*p - p = -66. Calculate the least common multiple of p and 22.
22
Suppose -a + 3*a = 4. Let h = -31 - -47. What is the least common multiple of a and h?
16
Let x(n) = n**3 - 6*n**2 + 6*n + 3. Suppose -3*c - 2*c + 25 = 0. What is the lowest common multiple of 14 and x(c)?
56
Suppose -d = 4*f + 57 - 299, 5*f = 25. What is the common denominator of (-6)/(-132)*d/2 and 37/22?
22
Let u be 14/(-35) - 844626/(-140). Let t = 12220 - 6180. Let l = t - u. What is the common denominator of 29/22 and l?
154
What is the lowest common multiple of 6 a | {
"pile_set_name": "DM Mathematics"
} |
19 a factor of g(-2)?
True
Let x = -1114 + 1674. Does 35 divide x?
True
Suppose -4 = -4*p, 19262 = 5*o - 7*p + 9*p. Is o a multiple of 21?
False
Let h = 4 - 1. Suppose 0 = -i - h*i + f + 10, -5*i = 3*f - 21. Suppose -i = -4*g + 85. Is g a multiple of 11?
True
Suppose -544*p - 676 = -546*p. Is p a multiple of 26?
True
Suppose -2*u + 3575 = 5*q, -3576 = -3*u + u - 4*q. Is u a multiple of 23?
False
Let z be (1044/60)/(2/10). Suppose 310 = 2*h - 5*f - z, 2*f = 4*h - 770. Is 11 a factor of h?
False
Let s(r) = -5*r**3 + 6*r**3 + r**2 - 2*r**3 + 2*r**3 + 12. Let q be s(0). Suppose 0 = 5*o - 77 + q. Is o a multiple of 13?
True
Suppose 3*g = 6*g - 24. Let v(p) = -2*p + 3. Let i be v(g). Let u = i + 25. Does 12 divide u?
True
Is 7 a factor of 72/(-33) + 2 + 695/11?
True
Suppose 5*v = 3*v + 6. Suppose -4*k + 2*t + 15 - 5 = 0, -v*k = 2*t - 4. Suppose k*n - 26 = -2*h + 6*n, 0 = -2*h - 4*n + 42. Does 6 divide h?
False
Let m(h) = -8*h - 4. Let z(t) = -8*t - 3 + 5 - 5. Let c(s) = -3*m(s) + 2*z(s). Is c(3) a multiple of 16?
False
Suppose -2*t + 4*k - 194 = 0, -3*k = -2*t - 87 - 109. Let a = 433 + t. Does 12 divide a?
False
Let m = 57 - 8. Let n = 17 - m. Is 6 a factor of (-27)/(-12)*n/(-6)?
True
Suppose -32*j - 158 = -2*y - 33*j, 4*y + 3*j - 316 = 0. Is 2 a factor of y?
False
Let j(r) = -11*r + 9. Let y(i) = 12*i - 10. Let f(o) = -5*j(o) - 4*y(o). Does 13 divide f(10)?
True
Suppose -8*a + 3*a = 265. Let w = -23 - a. Let d = w + -21. Is 8 a factor of d?
False
Suppose 0 = 4*p - s + 27, 2*s = -4*p - 24 - 6. Let g(k) = 2*k**2 + 4*k - 8. Is 9 a factor of g(p)?
False
Let j be 6/27 - 7526/(-477). Suppose -2 - 2 = -v, -2*z + 2*v + 96 = 0. Let m = z - j. Does 9 divide m?
True
Let j = -5 - 0. Let k(l) = 49*l - 62. Let y be k(1). Let t = j - y. Does 4 divide t?
True
Suppose 18 = 243*n - 234*n. Suppose 2*f = -f + 3. Is 32 - 1/(f/n) a multiple of 6?
True
Does 19 divide 6*8/(-120) - 109068/(-20)?
True
Suppose o - 2*m - 2*m + 2 = 0, -4 = -4*m. Suppose 3*d = -o*d + 940. Suppose -4*b = -2*b - d. Does 14 divide b?
False
Suppose -52*n + 128484 = 34*n. Is 18 a factor of n?
True
Suppose 4*r = 2*q - 28, 5*r + 5 = -5*q - 0*r. Suppose -3*h = -q*h - 3. Does 18 divide 14*(8 + h) - 0?
False
Let c(x) = 24*x**3 - x**2 - 16*x - 21. Let b(j) = -5*j**3 + 3*j + 4. Let h(r) = 11*b(r) + 2*c(r). Is h(-1) a multiple of 6?
True
Does 15 divide (1 + 4 - 8) + 74 + -1?
False
Let n(s) = 145*s**3 - 2*s**2 + 1. Is 2 a factor of n(1)?
True
Let y be (6/10)/(5/50). Suppose 10 = m + y. Suppose -5*x + 103 = m*z, z - 31 = -2*x - x. Is 12 a factor of z?
False
Is (24/20)/((-27)/30)*-249 a multiple of 46?
False
Let b be ((-6)/18)/(2/(-12)). Suppose b*w - 2*x - 6 = 0, -2*w + 5*w + 5*x = 9. Suppose -4 = w*u - 4*u. Does 4 divide u?
True
Suppose 0 = -4*v - 4*a + 6*a + 52, -3*a = 3*v - 30. Is v a multiple of 2?
True
Suppose -2*d = -6*d + 32. Let n(y) = 7*y**2 - 156 + 158 + 2*y**2 - y**3 - 5*y. Is n(d) a multiple of 14?
False
Suppose 0 = s - 1. Let a be s/(-3)*(-45)/(-3). Let w(d) = -8*d - 7. Does 6 divide w(a)?
False
Is 4 - 0 - (-10)/(70/3549) a multiple of 36?
False
Let g = 21 + 18. Suppose -5*t + 239 = g. Is t a multiple of 20?
True
Suppose -87 = 3*t + 147. Let j = t - -162. Does 7 divide j?
True
Does 11 divide 28/16 + ((-3051)/(-12) - -6)?
False
Let o = -44 - -46. Let u(h) = 14*h**3 - h**2 - 4*h + 2. Does 19 divide u(o)?
False
Does 4 divide (45 - -738)/(10/(-8) + 2)?
True
Suppose -66 = 9*l - 20*l. Is 6 a factor of l?
True
Let b = -7860 + 11804. Is 116 a factor of b?
True
Let v(w) = 37*w**2 + 22*w - 15. Is v(5) a multiple of 4?
True
Suppose 0 = 5*n - 30 - 590. Let s = n - 68. Does 8 divide s?
True
Let n be 8/40 + 189/5. Suppose -s - n = -122. Is s a multiple of 14?
True
Suppose -7*b + 826 = 2443. Let n = 331 + b. Is 14 a factor of n?
False
Is ((-117)/(-52))/(1/56) a multiple of 14?
True
Let v be 288/15 + (-4)/20. Suppose -5*m + 97 = 4*h - h, v = m + h. Does 10 divide m?
True
Let l(s) = s**3 + 14*s**2 + s + 3. Let v be l(-14). Let p = v - -29. Is p a multiple of 9?
True
Suppose -22 = 12*g - 10*g. Let t = g + 16. Suppose -2*f = t*q - 19, -4*f = f + 5*q - 85. Is 4 a factor of f?
False
Let v = -80 + 82. Suppose 0 = v*m - 69 - 101. Is m a multiple of 36?
False
Let a be (-15)/6*52/(-10). Let m(k) be the third derivative of -k**6/120 + 13*k**5/60 + k**4/24 - 4*k**3/3 + k**2. Is m(a) a multiple of 5?
True
Let c(n) = n**3 + 11*n**2 + 18*n + 3. Let z be c(-9). Let u(b) = 32*b - 12. Does 28 divide u(z)?
True
Let l be 0 - 1 - (-2 + 0). Suppose -73 = -g + s, -2*s - 5 = -l. Does 16 divide g?
False
Suppose -c + i - 15 = 0, -3*c + i + 105 = -8*c. Does 3 divide (12/(-20))/(4/c)?
True
Let q = 2790 + -1726. Is 50 a factor of q?
False
Let u = 382 + -338. Is 11 a factor of u?
True
Let u(j) = -3*j - 8. Let q be u(-4). Let y be 3*(q/3 - 1). Is (2 + (76 - -3))*y a multiple of 15?
False
Let a = 12 - -2. Does 6 divide (-6)/42 - (-296)/a?
False
Is 26 a factor of 4604*(8 - (-248)/(-32))?
False
Let r(s) = s + 2. Let y be r(-4). Let d be y/2*6/(-3). Suppose d*c = 144 - 0. Is c a multiple of 24?
True
Let g = 194 - 174. Is 7 a factor of g?
False
Let z(n) = 2*n**2 - 4*n + 4. Suppose -3*i + 4*v = 2*i - 6, 3*i + 3*v = 9. Let l be z(i). Suppose -j - 5*q = -22 - 50, l*q + 36 = j. Is 13 a factor of j?
True
Let r = 8 - 12. Let k = r - -4. Suppose k = -q + 16 + 44. Is 20 a factor of q?
True
Suppose 397*u - 403*u = -894. Is 15 a factor of u?
False
Suppose 0 = 4*a + 938 - 2410. Is a a multiple of 16?
True
Let m(r) = -r + 9. Let d be m(9). Suppose d = g - 5*c - 23, -4*g + c + 0*c = -111. Does 17 divide g?
False
Let c(t) = -61*t**3 - 17*t**2 + 3*t + 13. Let v(j) = 15*j**3 + 4*j**2 - j - 3. Let d(u) = 2*c(u) + 9*v(u). Is 12 a factor of d(2)?
False
Let h be 2/((-45)/(-23) - 2). Suppose -13*k = -5*k - 608. Let x = h + k. Does 6 divide x?
True
Suppose -101 = 7*u - 731. Does 15 divide u?
True
Suppose -2*y = 0, 2*m - 2*y - 78 = -0*m. Let r be 1 + 13/(m/360). Suppose 3*a = o - 35, 4*o - r = -o - 3*a. Is o a multiple of 26?
True
Let w = -817 - -1666. Does 35 divide w?
False
Let n(j) = 32*j + 8. Let t be n(6). Let w = 4 + -1. Suppose t = c + w*c. Is 10 a factor of c?
True
Suppose -3050 = -4*z - z. Let s = -420 + z. Is 38 a factor of s?
True
Let q = -904 - -1665. Suppose 0 = 4*b - q + 173. Is b a multiple of 18?
False
Suppose 0*p = -5*p. Suppose 0 = 5*r - k - 23, -3*r - 5*k + 1 - 4 = p. Is r a multiple of 4?
True
Suppose -15*p = -17585 + 2345. Is p a multiple of 8?
True
Suppose 2*u + f - 4424 = 0, 3*f + 11060 = 5*u - 0*u. Is u a multiple of 49?
False
Let c(z) = -9 + z - 20 - z - 9*z. Does 34 divide c(-7)?
True
Let u = -319 - -361. Does 21 divide u?
True
Suppose 0 = -3*x + 4*t + 6, -6*x + 2*x = 2*t - 8. Let p = 7 + x. Let l = 37 - p. Is 28 a factor of l?
True
Suppose 3*s + 0*v + 2*v + 160 = 0, 0 = -3*v + 3. Let l be 312/(-8)*(-2 + 16/6). Let b = l - s. Does 14 divide b?
True
Let k = 17 + -17. Suppose 4*g - 19 - 37 = k. Does 2 divide 0 + 0 + (g - 12)?
True
Let m = 1127 - 1829. Let c be (-2)/5 - m/(-45). Let y = c + 27. Is 11 a factor of y?
True
Suppose -4*x - s + 225 = -6*s, 0 = 4*x + 3*s - 217. Suppose 0 = -n + l + 92, 3*l - 37 = -n + x. Let a = -27 + n. Is a a multiple of 19?
False
Let p(r) be the first derivative of -12*r**2 - 3*r + 2. Does 11 divide p(-2)?
False
Suppose 5*n = 3*n + 14. Is 356/28 - (-2)/n a multiple of 3?
False
Is (-250)/(-150) - (13240/(-3))/4 a multiple of 85?
True
Is 17 a factor of (-1605)/10*-1*2?
False
Let q(h) = h + 1. Let z(d) = 11*d + 42. Let r(l) = -4*q(l) + z(l). Is 16 a factor of r(6)?
True
Suppose 278 = 11*k - 9*k. Is 15 a factor of k?
False
Suppose f = -5*g + 639, -2*g - 2*f + 176 = -86. Suppose -51 = -3*l + 108. Suppose 5*y - g - l = 0. Does 12 divide y?
True
Let w = 1139 + -810. Suppose -w = -4*g - 81. Does 8 divide g?
False
Suppose 8 = 3*z + z. Suppose -z*i = -3*k - 83, 0 = 2*i - i + k - 34. Is i a multiple of 37?
True
Let k be (-1 - (1 - 2)) + 47. Suppose u + 3*j = k - 14, -u + 2*j + 28 = 0. Does 6 divide u?
True
Let t be 8/(3 - 33/12). Let n be (-26)/(-8) + (-8)/t. Is 1*(3 - n) + 42 a multiple of 21?
True
Suppose 0 = 11*u + 80 + 30. Does 20 divide (1 - 2194/u) + (-16)/40?
True
Let x be 8/(-3)*(1 - 655/10). Suppose -x - 143 = -3*g. Is 15 a factor of g?
True
Let f = -175 + 239. Is 32 a factor of f?
True
Suppose -2*h + h + 4 = 0. | {
"pile_set_name": "DM Mathematics"
} |
*o - 5*j, 4*o = -3*j - 12. Suppose o = -0*l - l + 4. Solve -l*u - u = v for u.
-2
Let l be (-14)/(-6 - -4)*3/(-1). Let h be (-175)/(-49) + 12/l. Solve 10 = -h*d + d for d.
-5
Suppose -6*x - 405 = 195. Let o = x + 104. Solve o*i = i + 6 for i.
2
Let l = 561 - 508. Solve 0 = -5*t - 43 + l for t.
2
Suppose 4*m + 4*r = 6*r + 4, -6 = 2*m - 3*r. Suppose m*z + 3*z = 30. Solve -z*b + 1 = 16 for b.
-3
Let f = 1 - -1. Suppose f*z - 6 = -86. Let j = -30 - z. Solve 0 = 3*y - 8*y - j for y.
-2
Let b be (-94)/(-10) + (-244)/610. Solve 8*f - b = 15 for f.
3
Suppose 0 = 5*n - 7*n + 10. Suppose n*h - 1 = -z, 0 = 2*z - 2*h + 4 - 6. Solve -5*v + 4 = -z for v.
1
Let y(b) be the second derivative of b**3/2 - 3*b**2 - 2*b. Let g be y(8). Let r = -16 + g. Solve -r*w = -w + 3 for w.
-3
Let g = 34 + -14. Suppose -11 = -5*z - 1. Suppose -1 = -z*q - 3*c, 2*c = q + 6*c + 7. Solve -j = -q*j + g for j.
5
Suppose 8 = 4*j - 8. Let n be 1/(-11) + (-552)/(-264). Solve j*p + n = 6 for p.
1
Let i = -1 - -2. Suppose 2 + 8 = 10*c. Solve c = -m - i for m.
-2
Suppose -134 = 3*m - m. Let d = -65 - m. Solve -d*s + 13 - 5 = 0 for s.
4
Let l be (9/(-4))/((-38)/16 + 2). Let s be -2 + (l - (1 + (3 - 5))). Solve s = 2*r + 1 for r.
2
Let f(a) = -19*a - 206. Let h be f(-11). Solve 2*q - h*q - 2 = 0 for q.
-2
Suppose 4*d + 22 = t + 108, -3*t + 3*d - 222 = 0. Let g = -50 - t. Solve 0*y - 4*y + g = 0 for y.
5
Let w(a) = -a**3 + 13*a**2 + 32. Let f be w(13). Let j = f - 25. Solve -3*v = -j*v - 12 for v.
-3
Let d be -3*(-3)/((-9)/(-19)). Solve d*a = 4*a for a.
0
Suppose -130*c = -128*c - 8. Solve -c*w = -7*w - 9 for w.
-3
Let b(t) = t**3 + 4*t**2 + 1 + 6*t + 3*t**3 - 5*t**3. Let y be ((-5)/3)/(4/(-12)). Let v be b(y). Solve -2 + v = -c for c.
-4
Let k be 0 + 0 - (2 - 5 - 1). Solve k*h = -0*h - 16 for h.
-4
Let b = -45 + 52. Suppose b*t = 24 + 4. Solve 2*x = t + 2 for x.
3
Suppose 4 = -4*s - 4*c, 5*s + 2*c - 3 + 5 = 0. Let i(h) = h**2 - h + 10. Let q be i(s). Solve 2*u - 7*u = -q for u.
2
Let k(p) = -p**2 + 16*p - 27. Let q be k(16). Let b be 2/3*q/(-6). Solve -2*z + b = z for z.
1
Suppose -4*n = -2*n - 2*l, -16 = n - 5*l. Let y be 3 - ((-13)/4)/(1/n). Solve -y = -k - 3*k for k.
4
Let o(g) = -g**3 + 6*g**2 + 7*g + 3. Let m = 38 - 31. Let b be o(m). Suppose 0 = b*c + c. Solve c = t - 0*t for t.
0
Let f be 40/(-5 + 14/2). Solve -f*s = -19*s - 3 for s.
3
Let z be (-136)/748 + -2*(-2)/22. Solve 0*j - j + 4 = z for j.
4
Let g(p) = -7*p - 13. Let s be g(-3). Suppose -187*m + s = -185*m. Solve 5 = -m*k + 3*k for k.
-5
Let s(d) = d**2 + 3*d - 16. Let t be s(-6). Solve 0 = 3*n - n - t for n.
1
Let c(a) = -6*a - 40. Let x be c(-7). Solve 0*d - x*d - 6 = 0 for d.
-3
Suppose -p - 10 = 5*r, 15 = 4*r - 9*r. Let l be 24/20*p/2. Solve -l*x + 5*x + 10 = 0 for x.
-5
Suppose -7 = -4*p + 13. Suppose -3*l + 5*n = 5, l = -2*n + 1 + 1. Solve p*w + l - 5 = 0 for w.
1
Let i be ((-1)/2)/(7*3/(-798)). Solve -19 - 38 = i*q for q.
-3
Let m be 6/(-9) - 11/(-3). Suppose b = m*o + 14, -b + 5 = -2*o - 6. Suppose 2*l - 7*l + 20 = 0. Solve -15 = -l*v + b for v.
5
Suppose z + q = 3 + 5, -3*z - 4*q = -24. Solve z*b - 6*b = 8 for b.
4
Suppose -39*k + 12*k + 81 = 0. Suppose 5*c = h + 4*h + 20, 0 = 2*h + 4. Suppose 0*v = -c*t - 2*v + 10, k*t - 3*v + 3 = 0. Solve t*q + q = 0 for q.
0
Let v = 66 + -56. Let o be ((-45)/(-25))/(6/v). Solve -o*c = c - 8 for c.
2
Let y be 680/(-85) - -4*6. Solve -7*o + y = 23 for o.
-1
Let b = -73 + 82. Let w be (21/(-12))/(b/(-72)). Solve 11 = 5*o - w for o.
5
Suppose 3*t - 5*q - 20 = 0, q - 1 + 5 = -5*t. Suppose t*g = 2*g - 12. Solve r = g*r for r.
0
Let x be (3 - 5)*(1 + 15/(-5)). Solve -4*v + 24 = x for v.
5
Let x be (5 - -8) + (3 - 2) + -1. Solve 0 = -4*r - 9 + x for r.
1
Suppose 60 = -35*x + 50*x. Solve 0 = -x*z + 4 - 8 for z.
-1
Let c(m) = -m**2 - 6*m + 1. Let r be c(-6). Let q = r - -5. Suppose h = 2*h - 5*g + q, h = 2*g. Solve -3*s + h*s = 1 for s.
1
Let o(u) = u**3 - u**2 + 5*u + 4. Let q(s) = 5*s**3 - 3*s**2 + 20*s + 15. Let w(l) = 9*o(l) - 2*q(l). Let k be w(-4). Solve k*z = -3*z for z.
0
Let b(s) = -s**3 + 10*s**2 - 8*s - 4. Let j be b(9). Suppose x + 20 = j*x. Suppose 2*g + 4*v = -2*g - 12, -x*g - 4*v = 12. Solve 0 = -f - g*f for f.
0
Let k be 0*(9/36)/(-1 + 2). Solve -4*o + o = k for o.
0
Let c = 44 - 31. Solve -4*v + c = 9 for v.
1
Let u be ((-28)/(-6))/(6 - (-35)/(-6)). Solve 3*p + u = 16 for p.
-4
Let l(y) = y**3 - 6*y**2 + 5*y + 4. Let m be l(5). Suppose 0 = -26*c + 7*c. Solve c = -b - b - m for b.
-2
Let z = 35 - 33. Let a(h) be the first derivative of -h**4/4 + 5*h**3/3 + 3*h**2 + 6*h - 1. Let j be a(6). Solve r - j = -z*r for r.
2
Let y(n) = 33*n + 350. Let v be y(-10). Solve -v = 7*b - 3*b for b.
-5
Suppose q - 5 + 3 = 0. Suppose q = 5*b - 8. Let v = 107 + -107. Solve v*n + 6 = -b*n for n.
-3
Let m(z) = 2*z + 20. Let g be m(-15). Let y be (-42)/35*g/3. Suppose -y*c + 6 = -2. Solve -c*q - 12 = -5*q for q.
4
Let t(s) = s**2 - 2*s - 3. Let h be t(-2). Suppose 7*k = 2*k - h, 5 = -5*g - 5*k. Suppose g = -2*d - 2*d + 12. Solve 15 = d*i + 3 for i.
4
Suppose -60 = -3*s - s. Let o = 17 - s. Suppose 0 = -3*j + 3*g + 9, -2*j - o*g - 1 = -3. Solve -j*v + 0 = 8 for v.
-4
Let z = 35 + -15. Suppose -z + 5 = -3*w. Solve -w*j = -j for j.
0
Let g(k) = k - 22. Let v be g(18). Let o be 1/v*0*1. Suppose o = 27*w - 30*w. Solve -m = -w*m - 2 for m.
2
Suppose 0 = -4*m + 14 - 10, 3*m = -4*p + 191. Solve -p*c - 12 = -50*c for c.
4
Suppose 0 = 5*i + 3*j - 21, -5*i - 2*j - 3*j = -15. Suppose 0 = z + 2 - i. Solve z*m + 6 = -14 for m.
-5
Let r(c) = c**3 + c. Let o = -29 - -29. Let n be r(o). Solve n = -4*y + 3 - 11 for y.
-2
Suppose a + 0*a - 37 = -3*m, 3*a = -5*m + 59. Suppose -14*k + 9 = -m*k. Solve 0 = 4*g - g + k for g.
-3
Suppose -9*d + 13*d - 24 = 0. Let g = d - 23. Let s = -12 - g. Solve -18 - 7 = s*w for w.
-5
Let p be (5 - 2) + 0 + 4. Suppose p*l = 4*l + 24. Solve -2 = 5*d + l for d.
-2
Suppose 0 = 4*y - 9 - 15. Suppose -2*m + i - 17 = -y*m, -m - i + 8 = 0. Solve 2*c = m*c for c.
0
Let m(l) = 2*l**3 - l**2 - l. Let n be m(2). Let a = -2 - n. Let y be (-3)/(4 - (-57)/a). Solve -o = 3*o + y for o.
-1
Let b(v) = 4*v**2 + 3*v. Let x be b(2). Let n be (-9)/(-18)*(-2 - -6). Solve -4*g - x = -n for g.
-5
Suppose -17 = -2*u + 5. Let r(x) = -x + 14. Let v be r(u). Suppose v*g = 10 - 1. Solve 0 = 2*n + g - 1 for n.
-1
Let i be (-11)/(-3) + -3 - 16/(-12). Let o be ((-8)/12)/(2/(-36)). Solve -5*y = -o + i for y.
2
Let j(i) be the first derivative of -i**2 - 22*i + 12. Let t be j(-11). Solve t - 5 = -d for d.
5
Let v(n) = -n**2 + 11*n - 15. Let t be v(6). Suppose -5*d - 5*w - 25 = -2*d, -5*d - t = 3*w. Solve -5*b + 4*b = d for b.
0
Suppose -25 = -11*a + 6*a. Let t = -1 - -9. Solve -t = a*w + 2 for w.
-2
Suppose -25 = -4*p + m + 2*m, 4*p = 4*m + 24. Solve -p*f - 4*f = 0 for f.
0
Let z = 254 - 243. Solve -z*s = -14*s + 12 for s.
4
Let f(k) = -2*k + 34. Let l be -2 + 57/(3 - 0). Let c be f(l). Let s be (-2)/(-2) - (-3)/1. Solve c*n - s = -4*n for n.
1
Let l(i) = i**3 - 2*i**2 - i - 1. Let y be l(3). Suppose -3*x + p = -17, -5 = -y*p - 0. Let w = 338 - 336. Solve -4*j = -w + x for j.
-1
Let h be 1 + -2*(-1)/2. Let x = -604 + 605. Suppose d = x, 3*s - 98 = -h*s + 2*d. Solve 3*j + s = -j for j.
-5
Let d = -16 + 19. Suppose -d*w = -5*u - 12, 4*w + 0*u - 2*u - 16 = 0. Solve 4 = w*i - 0 for i.
1
Let i be (7 + (-6)/(72/78))*0. Solve i = -4*s + 21 - 17 for s.
1
Let r(z) = -11*z**3 + 13*z**2 + 31*z + 21. Let q(p) = 5*p**3 - 7*p**2 - 15*p - 11. Let d(m) = -9*q(m) - 4*r(m). Let k be d(12). Solve -2*h = 7 - k for h.
-2
Let r = 34 + -24. Let a = 9 + -16. Let o be (-11)/22 - a/2. Solve o*c + r = -2*c for c.
-2
Let o = -308 + 191. Let v = o + 125. Solve 6*g = 2*g + v for g.
2
Let x be (2/(-4) + 1)*-18. Suppose 0 = -i + 3*i - 24. Let j = x + i. Solve -o - j*o - 20 = 0 for o.
-5
Suppose 2*a - 6 = 4*a. Let p be 6*((-1)/a - (-2 + 2)). Solve -5*r = -4*r + p for r.
-2
Let l(t) = t**2 + 5*t + 1. Let n be l(-4). Let c be (4 - 3) + -4 - n. Solve q + 0 - 4 = c for q.
4
Suppose 5*d - 22 = 3. Suppose -16 - 4 = -d*m. Let w(o) = o**2 - 20*o + 66. Let p be w(16). Solve p*j = j - m for j.
-4
Let t be 96/10 - (-8)/20. Let m = 54 + -45. Solve -t*w = -7*w + m for w.
-3
Let g(k) = -k**2 - 13*k + 8. Let c be g(-14). Let y = c - -9. Solve -y*x = -x for x | {
"pile_set_name": "DM Mathematics"
} |
-2*s**4/11 + 1184*s**3/11 - 166908*s**2/11 + 1562976*s/11 - 1397250/11 = 0?
1, 9, 207, 375
Find z such that -134925*z**5 + 1898095*z**4 + 4189560*z**3 - 292500*z**2 + 320*z = 0.
-2, 0, 2/1799, 1/15, 16
Let -2*c**2 + 64300*c - 2504658 = 0. What is c?
39, 32111
Let -2*l**4 - 1472*l**3 - 43510*l**2 + 140864*l - 95880 = 0. Calculate l.
-705, -34, 1, 2
Factor 33*u**2/7 + 3407961*u/7 + 265554.
3*(u + 103271)*(11*u + 6)/7
Find n such that -5*n**5 - 237575*n**4 - 2823162935*n**3 - 25394926225*n**2 - 67709351680*n - 56420500900 = 0.
-23753, -5, -2
Find q such that -2*q**5/9 + 40046*q**4/9 - 200560310*q**3/9 + 1001160074*q**2/9 + 3208965472*q/9 - 16028812960/9 = 0.
-4, 4, 5, 10009
Let 3*w**3 - 91707*w**2 + 735456312*w - 522272268720 = 0. What is w?
785, 14892
Factor 2*u**3/5 + 4704592*u**2/5 - 28227606*u/5 + 42341436/5.
2*(u - 3)**2*(u + 2352302)/5
Let -2*h**3 + 1334818*h**2 - 222942133120*h + 74979981461504 = 0. Calculate h.
337, 333536
Factor l**2/2 - 30350920*l + 460589172423200.
(l - 30350920)**2/2
What is q in 1012479*q**2/2 + 1012547*q + 136 = 0?
-2, -136/1012479
Find q, given that q**3/4 - 40875*q**2/2 + 418201875*q - 20859031250 = 0.
50, 40850
Suppose -8*l**2 + 308*l + 52480 = 0. What is l?
-64, 205/2
Let g**2/4 - 80*g - 2289/4 = 0. What is g?
-7, 327
Factor -5*u**2 - 78996105*u + 157992230.
-5*(u - 2)*(u + 15799223)
Let p**4/5 - 11339*p**3 + 56694*p**2/5 = 0. What is p?
0, 1, 56694
Let -4*u**3 + 36376216*u**2 - 72752420*u + 36376208 = 0. What is u?
1, 9094052
Factor p**4/3 + 26306*p**3/3 + 170421500*p**2/3 - 34059125000*p/3.
p*(p - 194)*(p + 13250)**2/3
Factor 2*j**2/3 - 1156136*j/3 - 1156138/3.
2*(j - 578069)*(j + 1)/3
Let -21*b**2/5 + 34518096*b/5 - 6903615 = 0. Calculate b.
1, 11506025/7
Find x such that -x**3 - 17067052*x**2 - 72821065992676*x = 0.
-8533526, 0
Factor -363*f**3 + 1498992*f**2 - 1535443200*f - 24952320000.
-3*(f + 16)*(11*f - 22800)**2
Find a, given that -a**2/8 + 9167675*a/4 - 84046264905625/8 = 0.
9167675
Suppose -2*j**4/5 + 1014*j**3/5 - 17316*j**2/5 - 140832*j/5 = 0. What is j?
-6, 0, 24, 489
Factor y**2/2 + 681669*y + 464672625561/2.
(y + 681669)**2/2
Factor -25*g**2 - 3416615*g - 46461340.
-5*(g + 136651)*(5*g + 68)
Solve 2*t**4 - 450*t**3 - 15086*t**2 - 54414*t - 39780 = 0 for t.
-26, -3, -1, 255
Factor -2*s**2/15 + 250*s/3 + 158004/5.
-2*(s - 891)*(s + 266)/15
Suppose -120*g**5/7 - 3946*g**4/7 - 3662*g**3 + 113292*g**2/7 - 71928*g/7 - 11664/7 = 0. What is g?
-18, -2/15, 1, 9/4
Factor 128*u**2/9 - 2098400*u/9 + 8600161250/9.
2*(8*u - 65575)**2/9
Factor 2*t**2/9 + 591694*t/9 - 6508876/9.
2*(t - 11)*(t + 295858)/9
Factor 2*z**2 + 312922*z + 625836.
2*(z + 2)*(z + 156459)
Factor -3*b**2 - 25953576*b - 56132342265648.
-3*(b + 4325596)**2
Determine i, given that -3*i**2/5 - 15369*i - 18620100 = 0.
-24340, -1275
Determine d so that 16*d**4 - 14819*d**3 + 32106*d**2 + 216261*d - 41580 = 0.
-3, 3/16, 5, 924
Factor -14*w**3/9 + 2299984*w**2/9 - 94463628568*w/9 + 53978465312/9.
-2*(w - 82142)**2*(7*w - 4)/9
Let -4*o**4 - 3979536*o**3 + 39795760*o**2 = 0. Calculate o.
-994894, 0, 10
Determine l, given that -2*l**2 - 48702*l - 1702120 = 0.
-24316, -35
Find t, given that 3*t**5 + 1416*t**4 + 100092*t**3 + 2393424*t**2 + 14135040*t - 101606400 = 0.
-392, -30, -24, 4
What is b in 2*b**2/3 + 28263164*b/3 + 99850804911362/3 = 0?
-7065791
Suppose -4*t**5 - 195276*t**4 - 58419260*t**3 - 174086164*t**2 - 173695632*t - 57833456 = 0. Calculate t.
-48518, -298, -1
Factor 2*r**3 - 926482*r**2 + 6485300*r - 11117616.
2*(r - 463234)*(r - 4)*(r - 3)
Factor -2*u**2/3 + 297088*u/3 - 297086/3.
-2*(u - 148543)*(u - 1)/3
Solve -5*y**5 + 98620*y**4 + 98625*y**3 = 0 for y.
-1, 0, 19725
Determine y so that -7*y**5 - 5*y**4 + 2802*y**3 + 17708*y**2 - 53336*y + 13728 = 0.
-13, -12, 2/7, 2, 22
Determine p, given that -4*p**3/7 - 154780*p**2/7 - 213889376*p + 213911488 = 0.
-19348, 1
What is y in 5*y**5 - 270*y**4 - 1467900*y**3 - 282123250*y**2 - 280655625*y = 0?
-295, -1, 0, 645
Determine h so that 25*h**5 + 8690*h**4 + 548270*h**3 + 2723200*h**2 - 4681935*h + 1401750 = 0.
-267, -75, -7, 2/5, 1
Determine k, given that 4*k**5 - 1224*k**4 + 122672*k**3 - 5023000*k**2 + 70841100*k + 75988000 = 0.
-1, 40, 55, 157
Solve -2*y**3/5 - 2716*y**2/5 - 138570*y - 679320 = 0 for y.
-1020, -333, -5
Determine m so that -5*m**4 + 3900*m**3 - 347565*m**2 - 742130*m + 2843400 = 0.
-4, 2, 105, 677
Determine r so that -r**2/6 + 37388513*r/3 - 1397900904351169/6 = 0.
37388513
Factor -2*w**3/19 - 4424212*w**2/19 - 2446702053400*w/19 + 4893421803664/19.
-2*(w - 2)*(w + 1106054)**2/19
Determine v, given that -4*v**3 - 23449440*v**2 - 34367288219028*v - 68734482640328 = 0.
-2931179, -2
Let 2*d**2/3 - 556221424*d/3 + 38672784064573472/3 = 0. What is d?
139055356
Let -4608*n**5 + 118182*n**4/7 - 132278*n**3/7 + 53390*n**2/7 - 7018*n/7 - 20/7 = 0. Calculate n.
-5/1792, 1/3, 1, 2
Suppose -r**3/2 - 395*r**2/2 + 4341*r - 11232 = 0. What is r?
-416, 3, 18
Let s**2/4 - 1755*s/2 + 2430389/4 = 0. What is s?
949, 2561
Let -s**4/2 - 142171*s**3 - 10106580958*s**2 - 40424475629*s - 60636073683/2 = 0. What is s?
-142169, -3, -1
Determine q, given that 2*q**4/3 - 97468*q**3/3 - 53966624*q**2 = 0.
-1608, 0, 50342
Determine u so that -u**4 + 1920398*u**3 - 921976358389*u**2 - 5531910001188*u - 8297890927236 = 0.
-3, 960202
Suppose -4*k**2 - 146246320*k + 584985344 = 0. Calculate k.
-36561584, 4
Factor 45*k**3 + 15815*k**2 + 38430*k + 13960.
5*(k + 2)*(k + 349)*(9*k + 4)
Suppose -25*g**4 - 1252770*g**3 - 3507545*g**2 + 751620*g = 0. What is g?
-50108, -3, 0, 1/5
Factor m**2/2 + 1963*m/2 - 40060.
(m - 40)*(m + 2003)/2
Factor -28*i**2 - 393356*i - 168576.
-4*(i + 14048)*(7*i + 3)
Suppose r**5/7 + 7530*r**4/7 - 196796*r**3 + 78666360*r**2/7 - 210783872*r + 1246922880 = 0. Calculate r.
-7710, 14, 76
Suppose -3*h**3/2 - 9201*h**2/2 + 1652607*h - 41237100 = 0. What is h?
-3394, 27, 300
Determine w so that -w**5/3 + 2230*w**4 + 499243*w**3/3 + 8748664*w**2/3 - 6340604*w + 9767216/3 = 0.
-38, 1, 6764
Let -5*q**3 + 6765*q**2 - 959560*q = 0. What is q?
0, 161, 1192
Let -36*h**5 + 1134*h**4 - 530*h**3 - 130478*h**2 - 64490*h + 36000 = 0. Calculate h.
-9, -5/6, 1/3, 16, 25
Suppose -84*k**4/5 - 1120636*k**3/5 + 18056184*k**2/5 - 33125136*k/5 + 2991968/5 = 0. Calculate k.
-13357, 2/21, 2, 14
Find y, given that -4*y**3 + 603716*y**2 + 603728*y - 1207440 = 0.
-2, 1, 150930
Factor -3*s**4/5 - 13934511*s**3/5 - 21574510756569*s**2/5 - 11134453979889964917*s/5.
-3*s*(s + 1548279)**3/5
Find h such that -2*h**2/3 + 3880672*h/3 - 3880666 = 0.
3, 1940333
Solve 2*x**5 - 8292*x**4 - 9472832*x**3 - 3252253172*x**2 - 362252536002*x + 365514270296 = 0.
-329, 1, 5132
Factor -w**2/6 - 14790497*w/3.
-w*(w + 29580994)/6
What is a in 4*a**3 + 810392*a**2 + 810380*a - 1620776 = 0?
-202597, -2, 1
Factor 2*s**2/11 + 9793444*s/11 + 11988943172642/11.
2*(s + 2448361)**2/11
Factor 3*c**4/5 - 1953*c**3/5 - 338328*c**2/5 + 56516016*c.
3*c*(c - 508)**2*(c + 365)/5
Find q such that q**3/5 - 9898*q**2/5 + 79127*q/5 - 13846 = 0.
1, 7, 9890
Factor 4*r**2 + 12839544*r.
4*r*(r + 3209886)
Suppose 35*c**5 + 9895*c**4 + 74615*c**3 + 100105*c**2 - 74650*c - 110000 = 0. What is c?
-275, -40/7, -2, -1, 1
What is z in -z**2 + 12199*z + 1118390 = 0?
-91, 12290
Suppose -3*v**3 + 50145*v**2 - 32021241*v + 5214077211 = 0. Calculate v.
329, 16057
Solve -4*m**5 - 1460*m**4 - 140064*m**3 - 1761712*m**2 + 2189248*m + 3812352 = 0 for m.
-204, -146, -16, -1, 2
Determine d so that -5*d**5 - 660*d**4 - 7845*d**3 + 164750*d**2 - 208080*d - 1127520 = 0.
-116, -27, -2, 4, 9
Solve -795*y**4/4 + 3139857*y**3/4 + 10980225*y**2/4 + 4779087*y/4 + 177885/2 = 0 for y.
-3, -2/5, -5/53, 3953
Factor -4*j**2/5 - 173872*j/5 + 36192996.
-4*(j - 1017)*(j + 44485)/5
Factor 5*b**3 + 17195*b**2 + 14791995*b + 14774805.
5*(b + 1)*(b + 1719)**2
Let -t**2 + 579928*t - 1739775 = 0. What is t?
3, 579925
Determine g, given that -g**3/4 + 15881*g**2/4 - 285615*g/4 + 1284903/4 = 0.
9, 15863
Solve -6216338*h**5/9 - 161681204*h**4/9 - 144442718*h**3/9 + 309516004*h**2/9 + 2817856*h/9 + 6400/9 = 0.
-25, -2, -8/1763, 1
Suppose 16*h**2/7 + 67446*h/7 - 25308 = 0. Calculate h.
-4218, 21/8
Factor 29*c**3 - 4614*c**2 + 182887*c - 18870.
(c - 85)*(c - 74)*(29*c - 3)
Solve -16*c**5/5 + 8444*c**4 | {
"pile_set_name": "DM Mathematics"
} |
be (-2156)/(-21)*(-6)/4. Let h be 1/(-4) + n/(-8). Suppose -l + 40 = 2*f, f = -l + 57 - h. Does 18 divide l?
True
Suppose -i - 27 = 4*i + 2*z, 5*z = i. Is 16 a factor of i/(-10) + (-174)/(-4)?
False
Let k(h) = h**3 + 11*h**2 + 11*h - 5. Is 39 a factor of k(-6)?
False
Suppose 0 = -0*h - 5*h + 30. Let t be 2/(-3) - (-16)/h. Suppose -4*j - 4*i = -116, -3*i = t*i + 5. Is j a multiple of 10?
True
Suppose 2*f = 4 - 0. Let v be (-6)/(-1 + 0) - f. Suppose -s - v = -18. Is s a multiple of 14?
True
Suppose 5*u - 283 = 2*j, -5*j + 176 = 4*u - 24. Is 22 a factor of u?
False
Suppose -4*v = -324 + 108. Is v a multiple of 17?
False
Suppose -4*n + 0*t + 2*t = 12, -14 = 3*n + t. Let z = 2 + n. Is 3 a factor of (z - 0)*-3*1?
True
Let c = 1 + 3. Let t be 23/(-3)*(c + -1). Let l = 0 - t. Does 15 divide l?
False
Let j be -20*(-2 + (-9)/(-6)). Does 8 divide (1 - 16)*(-6)/j?
False
Let y(w) = -w**2 - 13*w + 24. Is y(-14) a multiple of 10?
True
Let s(b) = b**3 + b**2 - b + 4. Let f be s(0). Suppose 0 = -0*k + 4*k. Suppose f*l - 114 - 2 = k. Is l a multiple of 10?
False
Suppose -7*j = -3*j. Suppose -2*z + j*z - 5*k = -513, 5*z - 4*k = 1200. Is 9 a factor of 4/14 - z/(-28)?
True
Let d(g) = 2*g**3 - 3*g**2 + g - 2. Let q be d(2). Suppose -93 = -4*o - q*w - 13, -2*w = -4*o + 80. Let a = o + 4. Is a a multiple of 12?
True
Let i = -25 + 49. Let w(d) = 3*d**2 + d - 4. Let m be w(3). Suppose 0 = 2*j - m - i. Is 15 a factor of j?
False
Suppose 100 = 3*z - 98. Is z a multiple of 21?
False
Let i(t) = -t**3 - t**2 - 3. Let s be i(-3). Suppose -3*r + 0*r = 3*n - s, 11 = 3*r + 4*n. Does 3 divide r?
True
Suppose -3*f = f + 5*d - 57, 0 = d - 1. Is ((-2)/(-6))/(f/1482) a multiple of 19?
True
Let b be (-880)/(-12) + (-2)/(-3). Let a = b + -52. Does 6 divide a?
False
Let o = 96 - 51. Is 16 a factor of o?
False
Let f(d) = 8*d**3 + 2*d**2 - 2*d + 3. Is 36 a factor of f(2)?
False
Suppose -k - 12 = -2*z + z, 0 = -4*k + z - 33. Let l = k + 1. Let o = 6 - l. Does 12 divide o?
True
Suppose 3*j + 4*h - 61 = 0, h + 4 = j - 21. Is 14 a factor of j?
False
Let f(b) = b**2 + 8*b + 10. Suppose 6*n = 2*n. Suppose n = 4*q + 20, -4*q = 2*x - 0*x + 36. Is 5 a factor of f(x)?
True
Suppose 4*z - 148 = -4*j, z - 38 + 5 = j. Does 35 divide z?
True
Let x(z) = 7*z + 127. Is x(0) a multiple of 42?
False
Let x = -136 + 196. Is 10 a factor of x?
True
Let u be (-78)/(-18) + 2/3. Suppose 9 = u*w - 11. Is 2 a factor of w?
True
Let i(z) = 4*z + 16. Does 10 divide i(11)?
True
Let o = -4 + 80. Is o a multiple of 17?
False
Suppose -2*n - 15 = n. Does 21 divide ((-21)/n)/((-3)/(-15))?
True
Let a = 53 + 13. Is a a multiple of 16?
False
Let z(u) be the third derivative of u**7/2520 + u**6/120 + u**5/20 + u**4/24 + 2*u**2. Let c(k) be the second derivative of z(k). Is c(-8) a multiple of 11?
True
Let k be (-5 - -4)/(1/(-2)). Suppose -k*y + 3*m = -61, -m - 9 = 3*y - 84. Is 13 a factor of y?
True
Suppose 5*b - 875 = 625. Does 15 divide b?
True
Is ((-2)/2)/((-8)/608) a multiple of 19?
True
Let p be 15/10*(-50)/(-3). Suppose 5*g - 2*g - 3 = 0, p = t + 4*g. Is 21 a factor of t?
True
Suppose -5*q + 14 = -6. Is q even?
True
Is 5/((-30)/(-9))*20 a multiple of 10?
True
Let g be 3/1 + -3 - -33. Suppose 2*p = 5*p - g. Does 11 divide p?
True
Let s(d) = 40*d. Suppose 3*x - 4*x + 11 = f, 3*x + 5*f - 35 = 0. Let b(g) = -g**2 + 10*g + 1. Let q be b(x). Does 11 divide s(q)?
False
Let x(d) = -5*d - 1. Let h be x(-1). Suppose -h*p + 15 = 3. Is 3 a factor of p?
True
Let m = 5 - 2. Does 8 divide 6/(-9) - (-65)/m?
False
Let w be 120/8*(-2)/(-6). Suppose -w*t = -10*t. Suppose t = 4*y - 17 - 3. Is 2 a factor of y?
False
Let c(v) = 7*v - 13. Let u(r) = -11*r + 20. Let h(s) = -8*c(s) - 5*u(s). Let y be h(6). Does 14 divide (y - 0)/((-4)/62)?
False
Does 30 divide (-1136)/(-5) + 1/5*-1?
False
Let q = 7 + -10. Let k = 6 + q. Suppose 0 = -k*f - 15, -3*y = -3*f + 11 - 44. Does 6 divide y?
True
Let v = 10 - 2. Let t = -5 + v. Let y(k) = 4*k + 2. Is y(t) a multiple of 7?
True
Is 18 a factor of (-18)/3 + 2 - -77?
False
Let s = 71 - 7. Does 17 divide s?
False
Let c(k) = -46*k - 2. Let r be c(-2). Suppose -3*i = 2*u - 60, 5*i = 3*u + i - r. Does 5 divide ((-2)/(-6))/(2/u)?
True
Suppose -2*b + 5 = -b. Suppose 5*g - 2*j - 101 = 0, b*g = 4*g + j + 19. Is 21 a factor of g?
True
Let a(c) = -4*c**3 + 12*c**2 - 6*c - 1. Let l(z) = -5*z**3 + 13*z**2 - 6*z - 1. Let f(y) = 4*a(y) - 3*l(y). Does 5 divide f(8)?
True
Let y(u) = u**2 + 9*u + 6. Let d = -34 + 22. Does 21 divide y(d)?
True
Let j = -6 - -8. Suppose 27 = j*x - x. Is x a multiple of 19?
False
Suppose w - 136 = -2*d - 0*d, -2*d = -3*w + 376. Is (1/2)/(4/w) a multiple of 6?
False
Let y(l) = 20*l**2 + l + 1. Is y(-1) a multiple of 5?
True
Suppose 13*i - 9*i - 184 = 0. Is 18 a factor of i?
False
Suppose -4*s - 105 = -9*s. Does 16 divide 42*(-4 - (-120)/s)?
False
Suppose 4*v - 5*v = -52. Is v a multiple of 13?
True
Let u be 5/(-1*4/(-56)). Suppose -3*b - z = 98, z + 2*z = 12. Let g = u + b. Is 12 a factor of g?
True
Suppose 3*w = -5*c + 1303 - 186, -2*c + 10 = 0. Is w a multiple of 58?
False
Let n(y) = 3*y - 4. Is n(4) a multiple of 4?
True
Let i = 75 - 39. Does 9 divide i?
True
Suppose -2*n + 458 = -2*t, -n + 0*t + 219 = t. Does 25 divide n?
False
Let a be 752/18 + (-2)/(-9). Let k = 6 + a. Let w = -12 + k. Is w a multiple of 13?
False
Let u(m) = 2*m**2 - 3*m + 3. Suppose 4*z - 5*y = -2, -5*z + 15 - 7 = -y. Suppose 0 = -z*n - 3*n + 15. Is 12 a factor of u(n)?
True
Let t(p) = -p**2 - 13*p + 3. Let w be t(-11). Suppose w = -4*l + 81. Is 4 a factor of l?
False
Let z(t) = -2*t + 40. Does 10 divide z(9)?
False
Is 20 a factor of 15/(-20)*-4 - -157?
True
Suppose 171*x + 588 = 173*x. Is x a multiple of 35?
False
Let w be 5/15 + 5/3. Is (w*17)/1 - -2 a multiple of 18?
True
Suppose -63 - 18 = -3*s. Let a = s + -9. Is a a multiple of 7?
False
Let l(b) be the second derivative of b**5/10 - b**4/3 + b**3/3 + b**2/2 + 4*b. Is l(3) a multiple of 6?
False
Suppose i = 4*i - 3*c - 15, -5*c - 25 = 4*i. Suppose -2*u + i = -2. Does 9 divide 36*(u + 1/(-2))?
True
Suppose 2*g - 4*g = -20. Let z be (5/g)/((-2)/(-24)). Let i(b) = b**3 - 5*b**2 - 2*b - 1. Does 15 divide i(z)?
False
Let f be 52 - (-2 + 0/3). Suppose 2*o = -o + f. Does 9 divide o?
True
Suppose -1 = -z - 0*z, -4*x = 2*z - 50. Suppose -3*m - 78 = -5*c, 2*c - 3*m + x = 3*c. Let g = c - 7. Is g a multiple of 3?
False
Let m(p) = p**2 - 2*p - 5. Is m(-5) a multiple of 30?
True
Is 10 a factor of (20/(-3))/(4/(-42))?
True
Suppose 3*d - 8 = -4*l + 4*d, -20 = -4*l - 2*d. Suppose -u = l*z - 40 + 8, -z = -u - 8. Is z a multiple of 10?
True
Let p be -3*(-1 - -2) - -6. Suppose -p*a - 176 = -4*a. Does 4 divide a/12 - 2/(-6)?
False
Let s(b) = b**3 - 5*b**2 - 3*b + 7. Let i be s(7). Suppose i - 3 = 5*c - 3*p, 2*c - 2*p = 34. Does 4 divide c?
False
Suppose 0 = 2*t + t - 150. Is t a multiple of 19?
False
Let s be ((-98)/4)/(1/(-2)). Let o = s - 15. Does 14 divide o?
False
Let n(s) = s**3 + 4*s**2 + 2. Let v be n(-4). Is 28 a factor of v*(1 + -2) - -86?
True
Let h be 1/7 + 318/(-21). Let f = -10 - h. Is 5 a factor of f?
True
Let o(i) = 2*i**3 - i**2 + 7*i - 8. Does 18 divide o(5)?
True
Let k(z) = 21*z**3 + z**2 - z. Does 15 divide k(1)?
False
Let u(n) = n**3 + 8*n**2 + 8*n + 9. Let h be u(-7). Suppose -h*j = -4*d + 148, 4*d - 80 - 60 = -2*j. Does 12 divide d?
True
Suppose 0*d + 2*d - x - 21 = 0, -x - 29 = -3*d. Does 6 divide d?
False
Does 16 divide 3 - 3/((-9)/231)?
True
Let t(q) = q + 2. Let m = -13 + 27. Let l = m + -6. Is t(l) a multiple of 10?
True
Let b(c) = -c**2 - 5*c - 1. Let x be b(-4). Let w = -5 + 7. Suppose 5*j = -20, -x*g - w*j - 47 + 153 = 0. Does 14 divide g?
False
Let o(r) = r**3 - 7*r**2 + r + 2. Let g be o(7). Suppose -5*v - 4*a - g = -233, -4*v - 4*a + 176 = 0. Is 24 a factor of v?
True
Suppose -5*h = 4*p - 88, 8*h - 3*h + 3*p = 91. Let l = -68 + 120. Let w = l - h. Does 16 divide w?
True
Suppose -5 + 27 = 5*u + n, -9 = 3*n. Let i be 80/(-25) - (-1)/u. Does 14 divide i - -2 - (-17 + 0)?
False
Let k be 4/(-12) + (-26)/(-6). Suppose t = -2*b + 5, 5*b = -t + k*t - 15. Suppose 41 = d - b*d. Does 19 divide d?
False
Suppose 0 = -0*c + 4*c - 40. Is c a multiple of 3?
False
Suppose -5*o = 3*v + 53, -v - 3*v + 3 = o. Let x = o - -21. Is x a multiple of 3?
False
Let n(r) = -r**2 + | {
"pile_set_name": "DM Mathematics"
} |
?
False
Is 13777 a prime number?
False
Is 33591 composite?
True
Is 114299 prime?
True
Is 72213 prime?
False
Is 24953 a prime number?
True
Is 206699 a prime number?
True
Is 90941 a prime number?
False
Is 110743 a prime number?
False
Is 36589 composite?
True
Is 38111 composite?
True
Is 9897 a composite number?
True
Is 298669 composite?
True
Is 83 composite?
False
Is 2129 a composite number?
False
Is 269617 a composite number?
False
Is 188323 a composite number?
False
Is 4876849 a prime number?
True
Is 1854563 a composite number?
False
Is 36523 composite?
False
Is 1901 composite?
False
Is 1636439 a prime number?
False
Is 510841 composite?
True
Is 425071 composite?
False
Is 26671 a composite number?
True
Is 39289 a prime number?
False
Is 92405 a composite number?
True
Is 47471 composite?
True
Is 11057 prime?
True
Is 850933 prime?
True
Is 10279 a prime number?
False
Is 27043 a prime number?
True
Is 482435 a composite number?
True
Is 49103 composite?
False
Is 2631 a composite number?
True
Is 2941 a prime number?
False
Is 28001 a prime number?
True
Is 22009 prime?
False
Is 4111 a prime number?
True
Is 797 composite?
False
Is 198863 composite?
True
Is 11185 a composite number?
True
Is 1393835 composite?
True
Is 23 prime?
True
Is 50277 prime?
False
Is 9587 composite?
False
Is 3049 a prime number?
True
Is 822581 a prime number?
True
Is 391247 a prime number?
True
Is 1123 a prime number?
True
Is 25537 a prime number?
True
Is 161771 a composite number?
False
Is 82591 a composite number?
False
Is 16921 prime?
True
Is 66835 a prime number?
False
Is 7283 a prime number?
True
Is 210437 composite?
False
Is 25697 prime?
False
Is 834817 composite?
True
Is 8779 a prime number?
True
Is 22609 a composite number?
True
Is 112433 a prime number?
False
Is 16658 a composite number?
True
Is 904987 composite?
False
Is 211 prime?
True
Is 7003 a prime number?
False
Is 12827 a composite number?
True
Is 270527 a prime number?
True
Is 7159 prime?
True
Is 3639 prime?
False
Is 8605 a prime number?
False
Is 81761 prime?
True
Is 3953 a composite number?
True
Is 21685 prime?
False
Is 21767 a prime number?
True
Is 621211 composite?
True
Is 12603 composite?
True
Is 259253 prime?
False
Is 2302 prime?
False
Is 7593 a composite number?
True
Is 43391 a prime number?
True
Is 1649393 composite?
False
Is 1276451 a prime number?
False
Is 13001 a composite number?
False
Is 601529 composite?
True
Is 1658137 a composite number?
True
Is 352862 prime?
False
Is 152753 a composite number?
False
Is 85663 a composite number?
True
Is 11281 a composite number?
True
Is 4419353 a composite number?
False
Is 14969 a composite number?
False
Is 678811 prime?
False
Is 438279 composite?
True
Is 9598 a composite number?
True
Is 19957 a prime number?
False
Is 618595 prime?
False
Is 675391 a prime number?
True
Is 136319 prime?
True
Is 601943 a composite number?
False
Is 15299 a prime number?
True
Is 4727 a composite number?
True
Is 121981 prime?
False
Is 67801 composite?
False
Is 18191 composite?
False
Is 13094 composite?
True
Is 4857 a composite number?
True
Is 224335 composite?
True
Is 80363 a composite number?
False
Is 72809 a prime number?
False
Is 10831 a prime number?
True
Is 17551 composite?
False
Is 2863 a prime number?
False
Is 11957 a prime number?
False
Is 145261 prime?
False
Is 67951 composite?
True
Is 329045 composite?
True
Is 90634 a prime number?
False
Is 257245 composite?
True
Is 4547 a prime number?
True
Is 67223 prime?
False
Is 115831 a prime number?
True
Is 746101 a composite number?
False
Is 3691 prime?
True
Is 33961 prime?
True
Is 1099817 composite?
False
Is 1897 composite?
True
Is 3909 a composite number?
True
Is 84691 prime?
True
Is 30029 a prime number?
True
Is 551339 composite?
False
Is 16781 a composite number?
True
Is 330983 a prime number?
True
Is 545795 prime?
False
Is 97949 composite?
True
Is 2407 a prime number?
False
Is 8147 prime?
True
Is 545243 a prime number?
False
Is 706723 a prime number?
False
Is 40231 prime?
True
Is 12689 prime?
True
Is 517255 composite?
True
Is 53203 prime?
False
Is 335021 a composite number?
False
Is 289907 a composite number?
True
Is 110419 a composite number?
False
Is 138053 prime?
True
Is 27143 a prime number?
True
Is 731501 composite?
False
Is 73153 a composite number?
True
Is 25879 composite?
True
Is 178661 a prime number?
False
Is 16729 a composite number?
False
Is 19777 composite?
False
Is 21355 a composite number?
True
Is 36658 a composite number?
True
Is 282259 a prime number?
False
Is 9895 prime?
False
Is 69097 a composite number?
True
Is 505877 a composite number?
False
Is 24317 a composite number?
False
Is 84401 a prime number?
True
Is 41579 composite?
False
Is 59003 a prime number?
False
Is 5197 prime?
True
Is 63577 prime?
True
Is 12361 a prime number?
False
Is 57413 composite?
False
Is 190049 composite?
True
Is 95339 prime?
True
Is 24437 a composite number?
True
Is 15049 a prime number?
False
Is 895 prime?
False
Is 32831 composite?
False
Is 74653 a composite number?
False
Is 62423 composite?
False
Is 536021 prime?
False
Is 52879 prime?
True
Is 49507 a prime number?
False
Is 22199 prime?
False
Is 143779 prime?
True
Is 27623 a composite number?
True
Is 50983 prime?
False
Is 31643 composite?
False
Is 219423 composite?
True
Is 158737 a prime number?
False
Is 11009 composite?
True
Is 17693 a composite number?
True
Is 65973 prime?
False
Is 2437 a prime number?
True
Is 1003 a prime number?
False
Is 70349 a prime number?
False
Is 1596767 prime?
True
Is 67593 prime?
False
Is 194573 a prime number?
False
Is 192161 a prime number?
True
Is 249 a prime number?
False
Is 10903 composite?
False
Is 27631 a composite number?
False
Is 2263 a composite number?
True
Is 469069 prime?
True
Is 207559 a prime number?
False
Is 14107 prime?
True
Is 1280033 a prime number?
False
Is 73223 a composite number?
True
Is 57779 composite?
True
Is 341423 a prime number?
True
Is 108239 a prime number?
False
Is 6159 prime?
False
Is 49451 a composite number?
False
Is 680263 composite?
False
Is 3899 a composite number?
True
Is 3821 prime?
True
Is 6373 prime?
True
Is 265774 prime?
False
Is 134569 prime?
False
Is 5223907 composite?
True
Is 9107 a composite number?
True
Is 5407 composite?
False
Is 3011027 composite?
False
Is 13523 composite?
False
Is 2459 composite?
False
Is 28639 composite?
True
Is 627773 a composite number?
False
Is 948601 a prime number?
False
Is 719 a composite number?
False
Is 1797277 prime?
True
Is 20095 prime?
False
Is 4109 prime?
False
Is 10799 a prime number?
True
Is 119661 a prime number?
False
Is 13901 composite?
False
Is 124121 composite?
False
Is 54941 prime?
True
Is 190945 a composite number?
True
Is 14351 prime?
False
Is 149629 prime?
True
Is 138157 a composite number?
False
Is 14077 a prime number?
False
Is 57779 composite?
True
Is 1783591 a composite number?
True
Is 16413 composite?
True
Is 206179 a composite number?
False
Is 90353 composite?
False
Is 392871 prime?
False
Is 4421 prime?
True
Is 85109 a composite number?
False
Is 22217 a prime number?
False
Is 296117 a prime number?
True
Is 55043 composite?
True
Is 1190423 a composite number?
True
Is 5923 composite?
False
Is 225257 prime?
True
Is 45001 composite?
True
Is 715529 composite?
True
Is 80593 composite?
True
Is 16183 composite?
False
Is 13085 composite?
True
Is 149 a composite number?
False
Is 47213 composite?
True
Is 24385 a composite number?
True
Is 6007 a composite number?
False
Is 64951 composite?
False
Is 108787 a composite number?
True
Is 13751 a composite number?
False
Is 2063 a composite number?
False
Is 366127 composite?
False
Is 139169 a composite number?
False
Is 887 a composite number?
False
Is 47623 composite?
False
Is 144703 a prime number?
False
Is 29641 composite?
False
Is 78907 a prime number?
False
Is 2459 composite?
False
Is 4577 prime?
False
Is 398037 a prime number?
False
Is 53681 a composite number?
False
Is 40483 prime?
True
Is 1455185 prime?
False
Is 235 a prime number?
False
Is 193253 prime?
False
Is 10589 a prime number?
True
Is 227615 prime?
False
Is 24713 a composite number?
True
Is 578167 composite?
False
Is 253709 a composite number?
True
Is 21211 composite?
False
Is 867431 a prime number?
True
Is 70765 a composite number?
True
Is 3022 composite?
True
Is 5047 | {
"pile_set_name": "DM Mathematics"
} |
ue? (a) 4/3 (b) 2.2 (c) -0.02 (d) -4
a
What is the biggest value in 0.02, 2/3, -4, 2?
2
Which is the biggest value? (a) 8 (b) -29 (c) -1
a
What is the biggest value in 5, -20, 3, 5/6, -2?
5
What is the smallest value in 2, -55, -3, 1/5?
-55
What is the fourth biggest value in -2, 1.1, 0.2, 1/6?
-2
What is the second smallest value in 3/8, -3/8, 2703?
3/8
Which is the fourth biggest value? (a) -5 (b) -0.12 (c) 0.4 (d) -2 (e) -1/5
d
Which is the second biggest value? (a) 1/4 (b) -26 (c) 2
a
What is the fifth smallest value in 281, 5, 2/7, -0.4, 1?
281
What is the second smallest value in -1/5, -5, -49, -25, 4?
-25
Which is the fourth biggest value? (a) 6 (b) -5 (c) 0.4 (d) 0.2
b
What is the biggest value in 4, -5, 6?
6
What is the biggest value in 11, 4/9, 1/4?
11
What is the biggest value in -1, -4/9, -1.38?
-4/9
Which is the second smallest value? (a) 2 (b) 31 (c) 1 (d) 1/8
c
Which is the biggest value? (a) -0.012 (b) 2/3 (c) -0.4
b
What is the biggest value in -783, -1, 1?
1
What is the third smallest value in 0.3, 0.5, -600, 0?
0.3
What is the fourth smallest value in 0.16, -0.5, 2/7, 2?
2
Which is the third biggest value? (a) -1/2 (b) 1 (c) -0.3 (d) 126/11
c
Which is the smallest value? (a) 0.4 (b) 0.5 (c) -6 (d) -0.1 (e) 0
c
Which is the third smallest value? (a) 2 (b) -1 (c) 2/59
a
What is the second biggest value in 3/4, -2/9, -4/29, 0.2, -2?
0.2
Which is the second smallest value? (a) -2/5 (b) 12/19 (c) -3
a
What is the third smallest value in 3, -2/5, 1.26?
3
What is the biggest value in 1/7, -25/11, 0.2, 1?
1
Which is the second smallest value? (a) 1/4 (b) -0.3 (c) 39 (d) -2
b
Which is the fourth smallest value? (a) -7 (b) -0.03 (c) 5/4 (d) 1.8
d
What is the biggest value in -2/11, 14, -0.1, -39/5?
14
Which is the second biggest value? (a) -10 (b) 0.1 (c) 2/7
b
What is the second biggest value in -2/3, 0.07, -6, 1, -0.5?
0.07
Which is the fourth biggest value? (a) 5/7 (b) -29 (c) -4 (d) -0.3
b
What is the smallest value in -2, 2/9, 4, 1/3, -1/17?
-2
Which is the second biggest value? (a) -0.17 (b) -4 (c) -0.5 (d) -1 (e) -0.6
c
Which is the biggest value? (a) -5 (b) 1/30 (c) -0.2
b
What is the third smallest value in 1.1, 4, -2/7, -33, -2/5?
-2/7
What is the biggest value in -0.2, 0.2, 6/13?
6/13
Which is the second smallest value? (a) -0.6 (b) 24/13 (c) -5 (d) -2
d
What is the fourth smallest value in -0.2, 1, -3, -0.03, -1?
-0.03
Which is the second smallest value? (a) -2 (b) -1/8 (c) 0.1 (d) 0.055
b
Which is the fourth smallest value? (a) 3 (b) 0.4 (c) 39/7 (d) 1
c
What is the third biggest value in 3/2, -36, -1/10?
-36
What is the smallest value in 3, -1/7, -556?
-556
What is the smallest value in -1/9, 1, -32?
-32
What is the third biggest value in -364/25, -2, 0?
-364/25
Which is the third smallest value? (a) 0 (b) 0.1 (c) -0.168
b
Which is the third smallest value? (a) -5 (b) 0 (c) 39 (d) -34 (e) 2
b
What is the smallest value in -0.8, 0, -1?
-1
What is the third biggest value in -0.3, -3/2, 0.78, -2/15?
-0.3
Which is the third smallest value? (a) -5 (b) 5/2 (c) -0.14 (d) 1/7 (e) 0.4
d
What is the third biggest value in 0.07, -0.3, 3/4?
-0.3
What is the biggest value in 2/19, -0.2, 4?
4
Which is the smallest value? (a) 1 (b) -1 (c) 0.2
b
What is the smallest value in 5, -86, -0.2?
-86
What is the smallest value in 4, 6/7, 66?
6/7
What is the second biggest value in -12, 5/14, 2?
5/14
Which is the fifth biggest value? (a) -0.022 (b) 3 (c) -4 (d) 0.2 (e) -1/2
c
Which is the third smallest value? (a) 2 (b) 0.3 (c) 0.115
a
What is the third smallest value in 0.1, 2/3, -0.41?
2/3
Which is the second smallest value? (a) -2/1855 (b) 0 (c) 5
b
What is the third smallest value in 5, 2/29, 3, 0.4, -2?
0.4
What is the fourth smallest value in 5, -3, -6, -3/4, -0.03?
-0.03
Which is the second smallest value? (a) 2 (b) 0.4 (c) 111
a
Which is the third biggest value? (a) -0.2 (b) 16 (c) -5/13 (d) -2/13 (e) -3
a
Which is the second biggest value? (a) -1 (b) -48 (c) 17
a
What is the fourth biggest value in -0.648, -0.1, -4, 11?
-4
What is the second biggest value in 3/2, -0.9, 16?
3/2
What is the biggest value in 5, 0.6, -0.4, -1?
5
What is the biggest value in -1/6, -4, -6?
-1/6
Which is the fourth smallest value? (a) -0.213 (b) 2 (c) -9/2 (d) -3
b
Which is the second biggest value? (a) 7 (b) 6 (c) 3
b
What is the smallest value in -75, 5, -4?
-75
Which is the second smallest value? (a) 0.2 (b) 1/3 (c) -0.2 (d) 0 (e) -1035
c
Which is the second biggest value? (a) -2 (b) 1.2 (c) -5 (d) 1/3
d
What is the third smallest value in 6, 626, -5?
626
Which is the smallest value? (a) 0.6 (b) 1 (c) -0.06 (d) -1 (e) -4/3
e
What is the second biggest value in -0.05, 3, -0.5?
-0.05
Which is the fourth smallest value? (a) 120 (b) 0.36 (c) -0.3 (d) 1/2
a
Which is the second biggest value? (a) 10 (b) -3 (c) -0.09 (d) 1 (e) 4
e
Which is the second smallest value? (a) -3 (b) 3 (c) -35
a
What is the third smallest value in -4/5, -4, 0.46?
0.46
What is the third biggest value in -0.016, -2/13, -1?
-1
Which is the biggest value? (a) -2/85 (b) 5 (c) -1/3 (d) -1/7
b
What is the biggest value in -6, -0.4, 4/3, 0.4?
4/3
What is the fifth biggest value in -3, 3, -16, -0.2, -2?
-16
Which is the second smallest value? (a) -0.05 (b) -1/7 (c) 5 (d) 1/5 (e) 137
a
Which is the biggest value? (a) 3/7 (b) -5 (c) 95 (d) 4
c
What is the biggest value in 0.2, 3, -1, 2/7?
3
What is the second smallest value in 2/17, -2/171, -3/4?
-2/171
Which is the second biggest value? (a) -4 (b) -4/3 (c) 0.02 (d) -0.3 (e) 0.3
c
Which is the third biggest value? (a) -221 (b) -0.2 (c) -0.5
a
What is the second smallest value in 10, 0, 2, 0.3?
0.3
Which is the smallest value? (a) -0.1 (b) -0.14 (c) 1 (d) 129
b
What is the fourth biggest value in 6, 1.34, -3, -4/7?
-3
Which is the second biggest value? (a) 0 (b) -4/3 (c) -9/5 (d) 3
a
What is the second smallest value in 99, -1/4, 2, -0.4?
-1/4
Which is the third smallest value? (a) 0.3 (b) -10 (c) 0.7 (d) 2
c
What is the second smallest value in 2, -1/4, -2/557?
-2/557
What is the third smallest value in -0.5, 1, 10.96?
10.96
What is the third biggest value in 7, 2, -0.4, -0.024?
-0.024
Which is the fifth biggest value? (a) 0.4 (b) 3/5 (c) -2/5 (d) 1.69 (e) 1
c
Which is the second biggest value? (a) 0.1 (b) 9 (c) 2/7 (d) 2/5
d
What is the second biggest value in 2, -2/5, 0.5, 317, 1?
2
Which is the smallest value? (a) -2/21 (b) 5 (c) 13
a
What is the biggest value in 0.3, 5, 0.7, 56, -1/4?
56
Which is the third smallest value? (a) 2 (b) -2 (c) 3/7 (d) 2/21
c
What is the third smallest value in -19, -0.06, -3, 0.1?
-0.06
What is the fourth biggest value in -0.3, 18, -6/11, 0?
-6/11
Which is the fourth smallest value? (a) -5/3 (b) 0.3 (c) -0.4 (d) -31
b
Which is the third smallest value? (a) -4 (b) -20 (c) 0 (d) -2/27
d
Which is the fourth smallest value? (a) -3 (b) -0.5 (c) -0.1 (d) 1/7
d
Which is the second smallest value? (a) -2/3 (b) 0.2 (c) -12 (d) -0.1
a
What is the biggest value in -0.06, 30, 3/2, 5?
30
Which is the second biggest value? (a) -2/7 (b) -32.2 (c) 0
a
Which is the fourth smallest value? (a) -2/3 (b) 4142 (c) 2 (d) -2/15
b
What is the third biggest value in -0.2, -7, -5?
-7
What is the biggest value in -1/30, 2/7, 2?
2
Which is the smallest value? (a) 1/30 (b) -34 (c) -3
b
What is the biggest value in -32, 3/2, -2/19, 1?
3/2
What is the third smallest value in 0.09, -4, -2, -3?
-2
What is the second biggest value in -5, 2, 43, 14?
14
Which is the biggest value? (a) 0.3 (b) 135 (c) -4 (d) 0.5
b
What is the third biggest value in 0.3, 0.4, -1/4?
-1/4
Which is the second biggest value? (a) 0.2 (b) 35 (c) -1
a
What is the second biggest value in -3.4, 0, -1/9, -5?
-1/9
Which is the third biggest value? (a) 6/25 (b) 3 (c) 0.5
a
Which is the third smallest value? (a) 1/7 (b) -0.2 (c) 0 (d) -0.16
c
Which is the smallest value? (a) -1 (b) -0.4 (c) -0.2 (d) -0.07 (e) 2/29
a
Which is the second smallest value? (a) 5 (b) 2 (c) 1 (d) -4
c
What is the third smallest value in 18, 3, -1/2?
18
What is t | {
"pile_set_name": "DM Mathematics"
} |
by 135.
-1281743
635971 divided by 110
635971/110
0 divided by 244501
0
Divide 161919534 by 53973178.
3
Calculate -379 divided by -228706.
379/228706
Calculate -38721025 divided by 31609.
-1225
Calculate 5 divided by 318473.
5/318473
Divide 489 by -11573.
-3/71
Calculate -10612205 divided by 2122441.
-5
Calculate 48961881 divided by -3187.
-15363
Calculate -297181624 divided by -4.
74295406
-39357826 divided by -934
42139
Calculate 83301492 divided by -7019.
-11868
Calculate -833571 divided by -6777.
123
48 divided by 21096
2/879
Calculate 14382 divided by 993.
4794/331
Calculate 291938960 divided by 85.
3434576
37775906 divided by 5396558
7
Divide 321816298 by 74374.
4327
Divide 183300850 by -27815.
-6590
Divide -4382721 by 7.
-626103
What is 1537776 divided by 192222?
8
Calculate -13482064 divided by -1685258.
8
What is -31428632 divided by 15714316?
-2
Calculate 1324919064 divided by 4.
331229766
Calculate -3126566 divided by -157.
3126566/157
What is -5 divided by 6148130?
-1/1229626
1829014 divided by -108
-914507/54
What is 4 divided by -176194276?
-1/44048569
-67 divided by 729477
-67/729477
Divide 2057034 by -1.
-2057034
Calculate -285189096 divided by 6.
-47531516
What is -11332266 divided by -5666133?
2
14585537 divided by 9
14585537/9
What is 44512408 divided by 8?
5564051
Divide -16957666 by -121.
140146
Calculate 5 divided by 2866983.
5/2866983
Divide 1581919083 by -3.
-527306361
Calculate 16 divided by -4728645.
-16/4728645
Calculate 2089852 divided by 3.
2089852/3
Calculate 6838 divided by -10261.
-6838/10261
-37156238 divided by 27361
-1358
-5 divided by 1239529
-5/1239529
What is -801951035 divided by -5?
160390207
Calculate 12008304 divided by 55594.
216
Calculate 945 divided by 5823.
105/647
-243776 divided by -60944
4
15 divided by -1590164
-15/1590164
41 divided by 109797
41/109797
Divide -5665374 by 279.
-20306
Calculate -7 divided by -485672.
7/485672
Calculate 495120 divided by 15.
33008
Divide -7248 by 211.
-7248/211
What is -410396 divided by 6?
-205198/3
Calculate -377809512 divided by -31484126.
12
Divide -3324671 by -11347.
293
Divide -1 by 549181.
-1/549181
Divide 40354654 by 4.
20177327/2
8282106 divided by 9
920234
Calculate 29 divided by 200874.
29/200874
What is 600152 divided by 107?
600152/107
What is -385601374 divided by -192800687?
2
Divide 55720896 by 158298.
352
What is -90432342 divided by 693?
-130494
Calculate -101707388 divided by 11521.
-8828
Divide -60818345 by -8688335.
7
Calculate -6601100 divided by -35300.
187
What is 81907815 divided by 27302605?
3
What is -37287 divided by 44?
-37287/44
Calculate 25316655 divided by -5.
-5063331
Divide -1891 by -23925.
1891/23925
Divide -5338882 by 2.
-2669441
What is 56552368 divided by -5?
-56552368/5
Divide -716413 by 5.
-716413/5
-1139252004 divided by -379750668
3
4 divided by 63559996
1/15889999
-7324714 divided by 6
-3662357/3
Divide 10023778 by 17.
589634
Divide 46202578 by -34949.
-1322
What is 942798 divided by -3?
-314266
What is 1472090 divided by 294418?
5
-292724205 divided by 97574735
-3
What is -625 divided by -211?
625/211
-159339860 divided by -460
346391
341999358 divided by -6
-56999893
-3 divided by -126748
3/126748
What is -3612184 divided by -4?
903046
Calculate 2620919 divided by 35903.
73
Calculate 5 divided by -7432326.
-5/7432326
Calculate 57 divided by -106399.
-57/106399
Divide 3 by -29167181.
-3/29167181
-13295877 divided by 633137
-21
-35314065 divided by 35314065
-1
What is -325 divided by 5137?
-325/5137
-40079 divided by -656
40079/656
Calculate 51451597 divided by -43273.
-1189
Calculate 812136300 divided by 560094.
1450
What is 396150431 divided by 6?
396150431/6
Divide -54353 by 1449.
-54353/1449
128389 divided by 1810
128389/1810
Calculate -16965600 divided by 3.
-5655200
Divide 49992532 by 1.
49992532
-1009 divided by 15
-1009/15
What is 38371731 divided by 12790577?
3
Calculate 5 divided by -29232575.
-1/5846515
Divide -4361901 by -1453967.
3
Divide -21357606 by -3.
7119202
-11641228 divided by -4
2910307
-334 divided by -304
167/152
What is 5 divided by -2797949?
-5/2797949
What is -112863 divided by 1008?
-37621/336
What is -41235572 divided by -6431?
6412
Divide -2742336 by 1242.
-2208
Calculate -30704040 divided by 1479.
-20760
Divide -39341001 by 2293.
-17157
Calculate 3400 divided by -18164.
-850/4541
-164063649 divided by 54687883
-3
What is 11429 divided by -319?
-1039/29
Calculate 71342 divided by 14.
35671/7
79525 divided by 12015
15905/2403
Divide -6800111 by -1709.
3979
4 divided by -284406
-2/142203
What is 4 divided by -18705653?
-4/18705653
-479904850 divided by -95
5051630
Calculate -80 divided by 84988.
-20/21247
What is 214 divided by 889973?
214/889973
Divide 38781 by 1308.
12927/436
Calculate 37461540 divided by -17.
-2203620
Calculate -77689264 divided by -8.
9711158
Divide -9804 by -5058.
1634/843
Divide 2 by -5758482.
-1/2879241
Calculate -21582820 divided by -19892.
1085
Calculate -212836764 divided by -106418382.
2
Calculate -87209012 divided by -11.
7928092
What is -15483 divided by 241?
-15483/241
Divide -5194890 by -2955.
1758
Calculate 146476736 divided by 105152.
1393
Calculate -156 divided by -951810.
26/158635
What is 17075739 divided by -5691913?
-3
Calculate -26317353 divided by 3.
-8772451
Calculate 15454 divided by -1569.
-15454/1569
-3513371515 divided by 5
-702674303
Divide -175 by 23625.
-1/135
Divide -698968410 by -23298947.
30
37 divided by -89436
-37/89436
Calculate -12720084 divided by 163078.
-78
-1841 divided by 1734
-1841/1734
What is -77 divided by 486005?
-77/486005
75294720 divided by 132096
570
-2446220 divided by 346
-7070
Divide 9899921 by -2.
-9899921/2
-7 divided by -572841
7/572841
Divide -676753 by -9.
676753/9
Divide -1 by -112524982.
1/112524982
Calculate 14 divided by -768420.
-7/384210
What is 633 divided by -1006?
-633/1006
What is 419655990 divided by -32281230?
-13
Calculate 12954867 divided by -12954867.
-1
What is -160471900 divided by 4?
-40117975
What is -7887196 divided by -4?
1971799
What is 98120640 divided by -4?
-24530160
What is -264317585 divided by -77399?
3415
What is -15 divided by -435113?
15/435113
What is -149972 divided by 39?
-149972/39
Calculate -8055565 divided by 2065.
-3901
-3923234 divided by -817
4802
What is 6 divided by -1605791?
-6/1605791
Divide -132 by 38881.
-132/38881
35273680 divided by 542672
65
292063233 divided by -97354411
-3
What is 37298520 divided by -113715?
-328
Divide -21300165 by 705.
-30213
What is -4 divided by -18017757?
4/18017757
1344 divided by 29248
21/457
Calculate 295651359 divided by -2291871.
-129
-15093556 divided by -44788
337
963807154 divided by -13024421
-74
7 divided by 30027489
7/30027489
Divide -436334 by -261.
15046/9
Calculate 18281 divided by 21575.
18281/21575
Divide -758995 by -1.
758995
56100 divided by -428
-14025/107
Divide 52422860 by 4340.
12079
What is -23093160 divided by 11546580?
-2
What is 2207252 divided by 8?
551813/2
Divide -14753128 by 344.
-42887
-382902520 divided by 524524
-730
What is -5 divided by -22553922?
5/22553922
-22461375 divided by -5
4492275
-15958984 divided by -17032
937
What is 179466 divided by -614?
-89733/307
Divide 29507007 by -87.
-339161
Calculate 2 divided by 40205260.
1/20102630
Divide 14 by 58384.
7/29192
Calculate -277 divided by 2523434.
-277/2523434
Divide -243276 by -1007.
12804/53
Calculate 7088695 divided by 9389.
755
Calculate -21 divided by -10503137.
21/10503137
What is -132501 divided by -944?
132501/944
Calculate -97608 divided by 814.
-48804/407
-2 divided by 32532470
-1/16266235
Calculate 11 divided by -17654398.
-11/17654398
Divide 3279148 by 819787.
4
What is -93 divided by 141295?
-93/141295
What is -4019085 divided by 34?
-4019085/34
Calculate 67176296 divided by -1.
-67176296
What is -8962836 divided by -4?
2240709
Calculate 91043 divided by 447.
91043/447
What is 1881 divided by -6216?
-627/2072
58 divided by 96278
29/48139
Calculate 47944064 divided by 11986016.
4
Calculate -1 divided by 278636.
-1/278636
2 divided by 1260826
1/630413
Calculate 478606561 divided by 19.
25189819
Divide -91419 by 31.
-2949
What is -200128 divided by 64?
-3127
Calculate -141 divided by -11429.
141/11429
Calculate 777772283 divided by 767791.
101 | {
"pile_set_name": "DM Mathematics"
} |
s the nearest to 1/4? (a) 3 (b) u (c) v
b
Suppose 13 = -3*t - 2*k + 3*k, -4*k = -4. Let u = -5 + 6. Which is the nearest to u? (a) t (b) -0.4 (c) 3
b
Let u = -2 - -10. Which is the nearest to u? (a) 0.3 (b) -1/6 (c) -1/3
a
Let p = 0.3 - 0.4. Let g be -2 - -1 - 4/(-3). What is the closest to p in -3, g, 2/7?
2/7
Let y = -0.5 - 0. Let r = 3.129 + -0.129. What is the closest to 1 in y, r, 2?
2
Let p(h) = 5*h. Let d be p(1). Let x = -1.4 + 0.4. What is the nearest to x in 1/3, -0.2, d?
-0.2
Let i be ((-85)/(-33))/5 + 1/(-3). Which is the closest to -4? (a) i (b) 4/3 (c) 1/4
a
Let j be (1 + 1)*(-3)/54. Let o = 59/217 + -4/31. Which is the closest to -1/4? (a) j (b) 0 (c) o
a
Suppose -3*s + 2*s + i + 4 = 0, -5*i = 4*s - 7. Let n be 2/4 + s/(-10). Let h = 85/28 - 23/7. Which is the nearest to 1? (a) 2 (b) h (c) n
c
Let d be (-14)/(-4) + 3/6. Let g be -6*(-3)/18*3. Suppose -d*q = -3*s + 11, q + g*s - 17 = -q. Which is the nearest to -1/3? (a) -1/8 (b) q (c) -3
a
Suppose -4 + 0 = -g. Let q = 2/3 + -4/15. What is the nearest to 0 in q, g, -5?
q
Suppose -4*r = -4*n + 32, -4*r = 2*n + n + 4. Let i = -0.4 + 5.4. What is the closest to 1 in 2/9, n, i?
2/9
Let r be 2/(-2) - (-14)/18. Let l = -0.6 + 2.6. Let c = l - 4. What is the nearest to 0.1 in 5, c, r?
r
Let g = -1/7 + 10/21. Let s = 0.5 + -1. Let d = -22 - -21. What is the closest to g in s, d, -0.4?
-0.4
Let i = 2/43 + -47/86. Which is the nearest to 3? (a) i (b) 5 (c) -2
b
Let t = -35/2 - -16. Let s = 0 - 1. What is the closest to s in t, 2, -1?
-1
Suppose 0 = 2*n + 5 - 11, 5*i = -4*n + 12. Let v be 1/3*0 + 3. Let g be i + 2/(-9)*v. What is the nearest to -0.1 in 1/2, -2, g?
g
Let v = 166/57 - 30/19. Which is the nearest to 1? (a) 3 (b) 2 (c) v
c
Let d be -1 + 1*(88/20 - 3). Which is the nearest to d? (a) -1/6 (b) 0.2 (c) 5
b
Suppose 4*x - 696 = -3*s - x, -464 = -2*s - 4*x. Let d = -2086/9 + s. Let o be 42 - 37 - 7/(-1)*-1. Which is the nearest to d? (a) o (b) 4 (c) -0.4
c
Suppose -5*s + 5*p - p = -14, -5*p + 3 = 4*s. Which is the nearest to -3? (a) s (b) 0 (c) -2/7
c
Let z = 28 - 17. Let k = -9 + z. What is the closest to -6 in -1/9, k, 0.2?
-1/9
Let l = 0.35 + -0.05. What is the closest to -0.1 in 1, 0.5, l?
l
Let f = 0.2 - 0.2. Let k be 18/207 + 75/(-69). Which is the nearest to f? (a) 2/7 (b) 0.1 (c) k
b
Let d = -1/43 - 41/86. Let r = -686 - -680.91. Let x = r - -0.09. Which is the closest to d? (a) 5 (b) -3 (c) x
b
Let g be (4/(-2))/(4/10). Suppose -s - 1 + 2 = 0. Which is the closest to 2? (a) -5/4 (b) s (c) g
b
Let b(n) = -2*n**3 - 12*n**2 - 12*n - 7. Let k be b(-5). What is the nearest to -2/9 in k, -2/5, -3?
-2/5
Let l be 72/4 - 1/1. Suppose -3*z = -5*w + l, 4*w + 0*z + z - 17 = 0. Which is the nearest to -1? (a) w (b) -0.5 (c) -0.3
b
Let y = 0.3 - -2.7. Let f = 2 - y. Which is the closest to 0? (a) -4 (b) 2/3 (c) f
b
Let s = 3/70 - 111/140. What is the nearest to -2 in 2/15, s, -1/7?
s
Let j = 0.005 - -3.895. Let v = j - 4. Which is the nearest to v? (a) 0 (b) -5 (c) -4
a
Let d = -25 - -24.56. Let l = 2.96 + -3. Let j = d - l. Which is the nearest to 0? (a) -0.3 (b) -3 (c) j
a
Let t = -6 - -19/3. Which is the closest to -0.4? (a) -0.3 (b) 0.1 (c) t
a
Suppose -2*h = -2 - 6. Let d(t) = -t**3 + 7*t**2 + 6*t + 10. Let j be d(8). Let i be (h/j)/((-1)/(-6)). What is the closest to 2/5 in i, 2/5, 0.2?
2/5
Let h be (2/(-42))/(5/(-30)). Which is the closest to h? (a) 3 (b) -2/11 (c) 9
b
Let k = 1.6 + -1.8. Which is the closest to 5? (a) 5 (b) -0.1 (c) k
a
Suppose 9 + 6 = -5*o. Let p be o/((-3)/(-2)) - -1. Let y be 0 + p/((-11)/(-2)). Which is the closest to -0.1? (a) y (b) -3 (c) 2/15
a
Let k be (-4)/3 - (-3 - -2). Let h be (-2)/(-12)*18/(-4). Let c be 12/(-8) + (-6)/(-4). What is the closest to c in k, h, -0.5?
k
Let n = -32 + 129/4. What is the closest to -1 in 5, n, -6?
n
Let k = 0.34 + -1.74. Let h = -0.35 - 0.05. Let f = k - h. Which is the nearest to f? (a) -1 (b) -1/2 (c) -5
a
Let p = 0 - 0.1. Let q = p - 0.2. Let m = 48 - 49. Which is the closest to m? (a) -0.1 (b) 0.2 (c) q
c
Let v = 22.09 - 22. Let y = v + -5.09. Let k = -4 - y. Which is the closest to 0.1? (a) 3 (b) -5 (c) k
c
Suppose -2*v = -z - 0*z + 6, v + 9 = -z. Let s be ((3 + -4)*1)/z. What is the closest to -1 in -2, s, -0.3?
-0.3
Let l = -84 - -84.4. Which is the closest to 2/9? (a) 7 (b) l (c) -0.5
b
Let h = 0.049 + -0.249. Let o = -1 + 0. What is the closest to o in 0.5, h, -1/3?
-1/3
Let h be (1 - 1) + -1 + 1. Let u be 0*((-2)/(-4) - h). Which is the closest to u? (a) -3 (b) 0.3 (c) 1/5
c
Let a = -4.919 + -0.081. What is the nearest to 1/2 in -2/5, a, -2/73?
-2/73
Let u = 0.19 + -3.19. What is the closest to 1 in u, -2/3, 0?
0
Let r = -9.09 - -9. Let n = r + -0.01. Which is the nearest to -1/2? (a) 2 (b) n (c) -0.2
c
Suppose -17 = -5*g + 3*h, -4*h + 6 = g - 2*h. Let z = -4.4 + 4. Let p = -2/7 + 25/14. What is the nearest to -1 in p, z, g?
z
Let v = 14/17 - 36/85. What is the nearest to v in -2/17, -3/4, -2?
-2/17
Let p = -8 - -7.91. Let o = p - 3.91. What is the closest to 2/5 in 3, o, 0?
0
Let j = -16 - -17. Let v be (j/4*-2)/(-1). What is the nearest to -1 in -3, v, 2/5?
2/5
Suppose -3*z + 16 = z. Let q = 0.5 - 0.3. Let u = 0 + q. Which is the nearest to -2/7? (a) z (b) u (c) 5
b
Let x = 563/378 + 2/189. Which is the nearest to 1/4? (a) -2/13 (b) x (c) -0.3
a
Let z(o) = o**3 + 3*o**2 + o - 2. Suppose 0 = 3*x + 2*x + 15. Let c be z(x). Let h be (-3)/(-36) + (-1)/(-4). What is the closest to 0.1 in -0.1, h, c?
-0.1
Let a(c) = c**3 - 6*c**2 - 8*c + 9. Let k be a(7). Suppose -k*n - 2*n = 12. What is the closest to -0.1 in 2, n, -0.1?
-0.1
Let x = -0.02 - -0.92. Let r = x - 1.9. Which is the closest to r? (a) -2 (b) -0.5 (c) -3/4
c
Let l = 0.47 + -0.07. Which is the nearest to -2/5? (a) 2/3 (b) -2/11 (c) l
b
Let t = 3 - 2.99. Let v = t + 2.99. Which is the nearest to -2? (a) 0 (b) 1/9 (c) v
a
Let f = 15 - 15. Let z = 0.2 - 0.3. Which is the nearest to z? (a) -2 (b) 4 (c) f
c
Let j = -4 + 3.8. Let p = 7.8 + -7. Let l = p + 0.2. What is the closest to -1/2 in j, l, 3?
j
Let g = -8 - -10. What is the nearest to -0.2 in 0.2, -0.2, g?
-0.2
Let d = -2 - -1. Let j be 2 + 8/26*-5. Let n = 27/26 + j. Which is the closest to 0.2? (a) n (b) 0 (c) d
b
Let n = -5 + 1. Let p = 4.1 + n. Let g = 0.4 + p. What is the nearest to -2/7 in 3/4, 2, g?
g
Let y = -3/4 - -2. Let p = 0.52 - 0.52. What is the nearest to 1 in p, -3, y?
y
Let l = -18/37 - -272/407. Which is the nearest to -1/4? (a) -1/2 (b) 4 (c) l
a
Let s be 2/(-4) - 0 - (-14)/44. Which is the closest to -0.1? (a) 0.2 (b) -2 (c) s
c
Let i = -4 - -3.5. What is the closest to 1/6 in i, -1, -2/7?
-2/7
Let f = 151 + -150.97. Which is the nearest to 0.1? (a) 1/4 (b) -1/2 (c) f
c
Let n = -2 - -1. Let s be (-5)/(-3)*39/(-2). Let d = -33 - s. Which is the nearest to -0.1? (a) d (b) 5 (c) n
a
Let y(p) = -p**3 + 2*p**2 + p + 5. Let u be y(0). What is the nearest to 0.1 in 0.4, u, 1/2?
0.4
Let r = 2/9 - 68/225. What is the closest to r in -0.1, 0.2, -1/6?
-0.1
Let n be 14/4*(-12)/(-6). Let m = n - 8. What is the nearest to 3 in 2/17, m, -0.5?
2/17
Let w = -0.4 + -1.6. Let b = w + 3. What is the nearest to b in 0, -0.4, 5?
0
Let w = -240 + 965/4. What is the nearest to 2 in 3, -0.4, w?
w
Let p be -2 + 1 + 30/26. Let g be 2/(-3) + 1/2. What is the closest to -2/7 in p, 2, g?
g
Let i = -0.3 + 0.1. Which is the nearest to i? (a) -2/7 (b) 0.2 (c) 3
a
Let r(g) = -g**2 + 6*g + 5. Let x be r(6). Suppose 0 = x*p - 0 - 5. Which is the closest to p? (a) 2/3 (b) -2/7 (c) -0.2
a
Let a = -8.7 - -9.2. What is the nearest to -3/5 in -1/2, 2/15, a?
-1/2
Let o = -0.2 - 0.2. Which is the nearest to 0? (a) o (b) -1/6 (c) -0.1
c
Let i = -63217 - -443501/7. Let s = i + -140. Let n = -116 - -116.4. Which is the closest to s? (a) -2 (b) n (c) -5/3
b
Let x = 0.36 + -2.36. What is the nearest to 3 in -0.5, 0.1, x?
0.1
Let w be -4*(-2)/(-12)*60/8. What is the nearest to 2/3 in -0.5, 0, w?
0
Let s(x) = x**2 + 6*x - 3. Let p be s(-6). Let o = 2/271 + -283/1626. Which is the closest to 1? (a) -5 (b) p (c) o
c
Let l = -1.59 + 0.59. Which is the nearest to 0.1? (a) 2.4 (b) l (c) 0.2
c
Let p = - | {
"pile_set_name": "DM Mathematics"
} |
- 2*z - 129 = 2*m. Let b be 2/9 + (-560)/m. Is b at least as big as 9?
False
Suppose -g = -4*i + 7, -4*g - 3*i + 16 = -13. Suppose 25 = -g*d - j + 3*j, 0 = 5*d + 2*j + 25. Let h(o) = -o**3 - 6*o**2 - 4*o + 7. Let z be h(d). Does 1 = z?
False
Let v(x) = -2*x**2 + 7*x + 4. Let u be v(4). Which is bigger: u or 1/18?
1/18
Suppose 5*i = p + 4, 0 = -2*p - i - i + 16. Is p at least as big as 5?
True
Let a = 2 + -1. Let x = 5 + -3. Let m = 1 - x. Is m at least as big as a?
False
Let b(y) = y**2 + 4*y + 3. Let w be b(-2). Let v = -1/350 + 103/1050. Is v at least as big as w?
True
Let k = 0 + 0. Let r be -1*231 + (2 - 1). Let o = r - -1613/7. Are o and k nonequal?
True
Let n(t) = -t + 10. Let v be n(10). Let a be -1 + 1 - (-4)/6. Which is greater: v or a?
a
Let j(r) = -r**2 - 4*r + 5. Let u be j(-5). Let p = -1 - -1. Suppose p*n - n = u. Which is bigger: -0.1 or n?
n
Let q = 0 - 0. Let p = q + 0. Suppose p*u - 5 = 5*u. Which is bigger: u or 0?
0
Let a = 8 + -12. Which is smaller: -7/2 or a?
a
Suppose 0 = t - 4*z + 17, -2*t = -z + 9 + 4. Is -50/9 < t?
True
Suppose 5*k = k. Suppose k = 3*w - 16 + 1. Let q = -2 - -1. Which is smaller: q or w?
q
Let m = -1 + 6. Let t = 3 - m. Let a = t - -1. Is -0.06 greater than a?
True
Let m be (5 + -1)*2/(-4). Let t be (7/14)/(1/(-6)). Let f be 1 + (m - 4/t). Which is bigger: f or 1?
1
Let t = -27 - -63. Let l(y) = y**3 - 5*y**2 + 5*y - 5. Let n be l(4). Let x be 17/t - n/(-4). Which is smaller: x or 0?
0
Let u = 176.1 + -176. Which is greater: -28 or u?
u
Let f = -11 + 12. Is -2/59 >= f?
False
Let o = -2/27 - 4/27. Let p = 55/3936 + 1/96. Let z = 85/123 - p. Which is greater: o or z?
z
Let j be (-1)/3 - 2/(-15). Let n be (-2)/(-7) - 8/(-70). Is j equal to n?
False
Let b(k) be the first derivative of -k**4/4 + 5*k**3/3 + 3*k**2 + 4*k + 1. Let d be (-8)/24 - (-38)/6. Let s be b(d). Is 5 at most as big as s?
False
Let u be (10/(-6) + 3)*(-21 + 0). Is u at most -27?
True
Suppose -5*p + 3 + 27 = 0. Let n be 2/(-8)*-4 - p. Is -6 < n?
True
Let q = 2433/28 + -2408583/27748. Let w = -40109/202164 - q. Let x = w - -2/51. Is x smaller than 1?
True
Suppose 4*g + 3*g + 42 = 0. Is -6 less than or equal to g?
True
Let j(r) = r**3 - 5*r**2 - 2*r + 6. Let m be j(5). Let i be 5/(-25)*(-1 - 1). Which is smaller: m or i?
m
Let g(t) = -2*t + 1. Let q be g(-2). Let j = q + 0. Suppose -6*d - j = -7*d. Which is bigger: 6 or d?
6
Let d be 8/((-15432)/3861) + 2. Let k = d + -4497/2572. Does k = -3?
False
Suppose 0*s + 5*u + 55 = -3*s, 2*s - 2*u = -10. Let x be (-6 + 5)/((-2)/s). Does x = -5?
True
Let q be (0 + (0 - 2))*-2. Let f(i) = i**3 - 3*i**2 - 4*i + 2. Let p be f(4). Which is bigger: p or q?
q
Suppose v = -1 - 2. Let y(h) = 10*h**2 + 5*h + 16. Let o(f) = -3*f**2 - 2*f - 5. Let t(k) = 7*o(k) + 2*y(k). Let z be t(v). Which is greater: 1/4 or z?
1/4
Suppose 0 = -3*k + n - 4*n - 12, -4*k + 4*n = 0. Let i = 1 + k. Which is bigger: i or -4/3?
i
Let x = 0.04 - 0.07. Let w = x + 1.03. Let k = 0 + w. Which is bigger: -0.2 or k?
k
Let t be (-3)/1 - -6 - 5. Let p(f) = -3*f**2 + 1. Let u(k) = k**3 + 4*k**2 - 1. Let m(j) = 4*p(j) + 3*u(j). Let l be m(-1). Is t > l?
False
Let z = 2.1 - 2. Suppose 3*i - 9 = 0, 2*w + 5*i = i + 14. Which is smaller: z or w?
z
Let m(t) = t**3 + 7*t**2 + 5*t - 6. Let y be m(-6). Is y >= -2/17?
True
Let t = 4 + -14. Is t <= 1?
True
Let n be (-1 - (-33)/18) + -1. Let x(p) = -p**2 - 4*p - 2. Let c be x(-3). Which is greater: n or c?
c
Suppose -5*u - 90 = -10*u. Suppose -4*x + 3*r = 0, -4*x + u = 2*r - 2. Is x bigger than 3?
False
Let n = -4 - -12. Suppose -n = -k - k. Let o be 2/(-7) + k/14. Which is smaller: o or 1?
o
Let w = 8 + -16. Let o = w - -13. Suppose -10 = 4*d + p + 2*p, d = -2*p - o. Is 2/9 greater than d?
True
Let v = -12 - -12.1. Which is greater: -3/7 or v?
v
Suppose 5*l = 4*r - r - 16, 4*r = -4*l. Suppose -2*s = r*s - 20. Suppose 0 = -5*v + s. Is v greater than or equal to -1?
True
Let a = -2365 - -357113/151. Is 0 not equal to a?
True
Let i be 0/(-2*(0 - 8/4)). Which is smaller: i or 5/14?
i
Let p(f) = f**3 - 6*f**2 + 7*f - 4. Let m be p(4). Let r be (9 + -12)*m/(-6). Which is greater: r or -6?
r
Let k(y) = -y**2 + 2*y + 12. Let u be k(0). Let b be ((-22)/18)/((-4)/u). Which is bigger: 4 or b?
4
Let j = 0.05 - -1.55. Let c = 2.5 + j. Let a = c + -4. Which is bigger: -4 or a?
a
Suppose h - 3*t + 11 = 0, -3*h + 5*t - 9 = 8. Suppose 0 = 2*z - 1 - h. Let a = 43/4 - 32/3. Which is greater: z or a?
z
Let h(k) = k**2 - 2*k - 2. Let c(m) = -m - 1. Let l(d) = 3*c(d) + h(d). Let f be l(6). Is -1/2 greater than f?
False
Let s be -2 - (2 - 6/2). Do s and 4 have different values?
True
Let f(x) = -5*x + 3. Let r be f(3). Is r greater than or equal to -13?
True
Suppose -2*n + 5*i - 18 = -4, 0 = n + 3*i - 15. Let u = 10 + -7. Is n < u?
False
Let i = 36 + -10. Suppose 2*x = 2*q + 3*q + 38, i = -3*q + 2*x. Suppose l + 3 = -3. Is q at most as big as l?
True
Suppose -k + 700 = 3*u, -u + 2*u + 4*k = 226. Let j = 2108/9 - u. Is -6 at least as big as j?
False
Let d be (-21)/34 + (-16)/(-136). Which is greater: -2 or d?
d
Let m be 27/(-36) - (-2)/(16/(-10)). Let l(z) = -2*z + 7. Let a be l(5). Is a smaller than m?
True
Let f be (-11)/(-4) - (-5)/20. Suppose j - 20 = 5*j. Let l be 2/6 + j/(-3). Is l at least as big as f?
False
Let v(q) = -q + 11. Let u be v(8). Let g be 2 - -1 - (-9)/(-11). Is u > g?
True
Let w = 3.68 - 3. Let j = -0.08 + w. Let q = 0.1 - j. Is 0 at most q?
False
Let m = 217 - 217.2. Suppose 0 = -5*y - 3*q - q - 9, y = -3*q + 7. Which is smaller: y or m?
y
Let n be 1 + 1 - (-38)/(-20). Suppose 0 = 5*x - 3*a + 14, -2*x - 5*a + 15 - 2 = 0. Which is smaller: n or x?
x
Let x = -1.1 + 0.1. Let i = -7.08 - -0.08. Let z = i - -6.3. Is z at least x?
True
Let x be (12/18)/(2/3). Let y = 7 + -6.1. Let s = -0.1 - y. Which is smaller: x or s?
s
Let h be -2 + 2 - 2/(-1). Let v(u) be the first derivative of u**4/4 - 2*u**3/3 - u**2/2 + 2*u - 7. Let o be v(h). Are o and 1/3 equal?
False
Let l = 4 - -12. Let r be (12/l)/(2/8). Is r equal to 4?
False
Suppose -45 = -4*r + 7*r. Which is smaller: -14 or r?
r
Let j be 2/(-5) - (-824)/2160. Suppose -w - 3*z = -2*w + 12, 0 = -2*w - 2*z - 8. Which is greater: j or w?
w
Let y = 22 - 18. Which is smaller: 0.3 or y?
0.3
Let a = -589 + 24147/41. Is -1 at most as big as a?
True
Let m be (2/(-3))/(8/(-18)). Suppose 7*u = 19 - 5. Which is smaller: m or u?
m
Let f(m) = m**3 - 4*m**2 + m + 2. Let y = -2 - -5. Let u be f(y). Is -6 > u?
False
Let p(i) = -i**3 - 8*i**2 + 10*i + 11. Let s be p(-9). Suppose 0 = 3*d - 2*d - s. Let u be 0*((-15)/6 + d). Which is greater: 2/13 or u?
2/13
Let f = 17 - 0. Suppose 4*t = f - 5. Suppose 4*z + 3*h - 1 = 0, 4*z - h = t*h + 8. Are -1 and z nonequal?
True
Suppose z + 4*z + 23 = 2*k, 4*k - 6 = 2*z. Let n be (0 + (-3)/30)*-1. Which is smaller: k or n?
k
Let p = -144 - -869/6. Is -2 less than p?
True
Let a = 241 + -3855/16. Is 2 > a?
True
Let k = 4 + 3. Let o be -16*1/k - -2. Suppose -4*z = -4 + 8. Are z and o nonequal?
True
Let s be (-4)/14 - (-303)/7. Suppose -2*v - 8 = -0*t + 3*t, -s = 3*t - 5*v. Let r be (-2)/t - (-57)/(-90). Which is smaller: 0 or r?
r
Let t(u) = -u**2 + 5*u - 2. Let x be t(3). Suppose 2*m = 3*m + 5*q - 17, -x*q = -5*m - 2. Is m bigger than 3?
False
Let g = 4 - 0.4. Let t = 4 - g. Let b = t + 0.6. Is 0 at most as big as b?
True
Suppose -5*f - 28 = -n + 2*n, 3*f = -n - 18. Let u = 13 + f. Is 6 >= u?
False
Let s(z) = -2*z - 45. Let a be s(-16). Does a = -27/2?
False
Suppose 2 = -3*x - x + u, -x + 4 = 2*u. Is x greater than or equal to 0.13?
False
Let l(m) = 3*m**2. Let x be l(1). Suppose 0 = 5*s + x + 2. Is 0 <= s?
False
Let z = 12 - 12. Is z bigger than -1?
True
Suppose -z = 3*k + 4, 3*k - 2*k - z = 0. Which is greater: 0 or k?
0
Let u = -21 - -22. Which is smaller: 19/4 or u?
u
Let c = -25 + 24. Let d = -2.2 + 3. Let m = d + c. Which is smaller: 1 or m?
m
Let k = 0.004 - 0.704. Are -1 and k equal?
False
Let h = -57 - -87. Which is greater: h or 31?
31
Let j(k) = -20*k + 3. Let u be j(1). Which is smaller: u or 2?
u
Let v be (-2)/(-3) - 1221/9. Let n = v + 677/5. Let s = -1 - -2. Is n at most as big as s?
True
Suppose 0 = 2*l - 1 - 1. Let h(z) = -z**3 - z**2 - z + 4. Let u be h(0). Let f be (-2 - (-6)/u)*0. Does l = f?
False
Suppose 10 = 5*h - 1 | {
"pile_set_name": "DM Mathematics"
} |
divided by -4?
865
Divide 0 by -124.
0
Calculate 13 divided by -2222.
-13/2222
Calculate 142 divided by -71.
-2
Calculate -9168 divided by -3056.
3
3 divided by 262
3/262
256 divided by -2
-128
What is 21 divided by 12?
7/4
What is 72 divided by 24?
3
Calculate 1188 divided by 99.
12
Calculate -3 divided by -262.
3/262
12 divided by 859
12/859
Calculate -4158 divided by -594.
7
Divide 360 by -5.
-72
-23983 divided by 3
-23983/3
Calculate 2076 divided by 4.
519
-2430 divided by -6
405
69 divided by 3
23
What is -21027 divided by -163?
129
What is -449 divided by 7?
-449/7
Calculate 4 divided by 409.
4/409
Divide -5 by 8.
-5/8
Divide 0 by 164.
0
What is 24686 divided by 2?
12343
What is 9788 divided by 4894?
2
1908 divided by -6
-318
-18 divided by -214
9/107
Calculate 736 divided by -32.
-23
Divide -153 by -51.
3
0 divided by -642
0
Divide 1552 by 97.
16
What is 468 divided by -18?
-26
Calculate 597 divided by -199.
-3
Calculate 17 divided by 6.
17/6
What is 0 divided by 18?
0
Calculate -191 divided by -1.
191
Divide 104 by -10.
-52/5
What is -168 divided by -2?
84
-34 divided by 226
-17/113
What is 1119 divided by -3?
-373
Calculate -3633 divided by 3.
-1211
16284 divided by -92
-177
Divide -15 by 17.
-15/17
8418 divided by -122
-69
-2 divided by 23
-2/23
Divide -20 by -186.
10/93
Calculate 1286 divided by -3.
-1286/3
What is -5 divided by 83?
-5/83
Calculate 41 divided by 62.
41/62
What is -121 divided by -58?
121/58
Calculate -3 divided by -96.
1/32
Calculate 85 divided by 3.
85/3
What is 5 divided by -24?
-5/24
What is 907 divided by 1?
907
Calculate -1189 divided by -1.
1189
Divide 1 by 272.
1/272
-1 divided by 795
-1/795
Calculate -116 divided by 11.
-116/11
Divide 229 by -6.
-229/6
What is -1222 divided by -1?
1222
Divide -34724 by 2.
-17362
Calculate 37 divided by 1.
37
Divide -33092 by 1.
-33092
Divide -4926 by -1642.
3
What is -813 divided by -3?
271
-30 divided by -6
5
Calculate -5 divided by -94.
5/94
1467 divided by -163
-9
-141 divided by 141
-1
Divide 333 by -4.
-333/4
3 divided by -2236
-3/2236
What is -22723 divided by 733?
-31
What is 95 divided by 19?
5
What is -75 divided by 3?
-25
11 divided by -126
-11/126
Divide 19 by -1.
-19
What is 1763 divided by -1763?
-1
64 divided by 2
32
Calculate 134 divided by -2.
-67
-201 divided by 5
-201/5
-1870 divided by 2
-935
Divide -3 by 6748.
-3/6748
What is -1 divided by -1286?
1/1286
Divide -1 by 107.
-1/107
Divide -3083 by 5.
-3083/5
-89 divided by -5
89/5
What is 650 divided by 65?
10
-460 divided by -46
10
-41 divided by 3
-41/3
What is -4689 divided by -3?
1563
7 divided by -7
-1
Divide -1440 by 360.
-4
290 divided by 2
145
What is -85 divided by -2?
85/2
What is 3333 divided by -3?
-1111
-926 divided by -10
463/5
Calculate 13314 divided by -6.
-2219
Calculate 1565 divided by 5.
313
What is -64 divided by 5?
-64/5
-1 divided by -61
1/61
2028 divided by 507
4
Calculate 1 divided by -661.
-1/661
-343 divided by -11
343/11
Calculate -349 divided by -1.
349
What is 405 divided by 81?
5
-108 divided by -3
36
Divide 561 by 3.
187
96 divided by 48
2
What is 1785 divided by -85?
-21
Calculate 5664 divided by 4.
1416
Divide 763 by -13.
-763/13
-1260 divided by -252
5
Divide 85 by -85.
-1
Calculate 156 divided by -78.
-2
What is 200 divided by 25?
8
Divide -8420 by -10.
842
Divide 8136 by 678.
12
Divide 5 by -330.
-1/66
-613 divided by -7
613/7
Divide 216 by 12.
18
What is 2485 divided by 1?
2485
Calculate 1 divided by -88.
-1/88
What is 7 divided by 2069?
7/2069
Calculate -4 divided by -1121.
4/1121
Divide 104 by 2.
52
Divide 2 by 74.
1/37
Calculate 6516 divided by 12.
543
What is 1698 divided by -6?
-283
-4160 divided by 32
-130
Divide -4 by 25.
-4/25
What is 750 divided by -1?
-750
What is 1710 divided by 3?
570
Calculate 1 divided by 1852.
1/1852
85150 divided by 5
17030
What is -681 divided by 2?
-681/2
Calculate 536 divided by -2.
-268
Divide -80 by -16.
5
Calculate 303 divided by -4.
-303/4
What is 3 divided by 758?
3/758
-365 divided by 5
-73
What is -16905 divided by -7?
2415
Divide -1288 by 184.
-7
What is 4 divided by -41?
-4/41
What is -61 divided by 211?
-61/211
3720 divided by -1240
-3
37 divided by 242
37/242
What is 798 divided by -38?
-21
Calculate 61 divided by 4.
61/4
What is 316 divided by 2?
158
Divide -960 by -15.
64
Divide 1659 by 5.
1659/5
22 divided by -1
-22
2 divided by -2755
-2/2755
What is 2090 divided by -5?
-418
Calculate 1044 divided by 2.
522
Calculate -1136 divided by -4.
284
-30 divided by 8
-15/4
Divide 725 by -25.
-29
2 divided by 2774
1/1387
What is 16752 divided by 4?
4188
Calculate 1 divided by -27.
-1/27
Calculate 37 divided by -73.
-37/73
Divide 12 by -3.
-4
Calculate 339 divided by 1.
339
Divide 32640 by -340.
-96
328 divided by 82
4
-1600 divided by -320
5
Calculate -158 divided by -158.
1
Calculate 1040 divided by 104.
10
Divide -93 by -3.
31
Calculate 7 divided by 36.
7/36
Calculate 3 divided by -72.
-1/24
28368 divided by 3546
8
Divide -3100 by 2.
-1550
Calculate 90 divided by 30.
3
What is 42 divided by -69?
-14/23
Divide -351 by 24.
-117/8
4151 divided by 6
4151/6
3 divided by -136
-3/136
Divide 696 by -24.
-29
-2312 divided by 578
-4
459 divided by -4
-459/4
What is -5 divided by -163?
5/163
Calculate -5868 divided by 163.
-36
What is 5 divided by 103?
5/103
Divide 1469 by -13.
-113
2196 divided by -1
-2196
-8 divided by 25
-8/25
-3 divided by 134
-3/134
172 divided by 1
172
Divide -153 by 3.
-51
Divide 65 by 105.
13/21
Calculate 13 divided by 22.
13/22
Divide 516 by -8.
-129/2
Calculate -4 divided by -8.
1/2
Calculate -2 divided by 2.
-1
-103056 divided by 4
-25764
Calculate 3 divided by 2433.
1/811
What is -26 divided by -2?
13
3800 divided by 95
40
What is 214 divided by 128?
107/64
-2594 divided by 1
-2594
What is 1 divided by -1782?
-1/1782
What is -9684 divided by -3?
3228
Divide 131 by -1.
-131
What is -336 divided by -112?
3
Calculate 1068 divided by -4.
-267
Calculate -6960 divided by 464.
-15
1037 divided by 2
1037/2
-506 divided by -253
2
Calculate 230 divided by 48.
115/24
Divide 82 by -92.
-41/46
Calculate 2 divided by 2002.
1/1001
Divide 192 by -48.
-4
Divide -485 by -97.
5
Calculate -1794 divided by 23.
-78
Divide -1593 by 27.
-59
Calculate -240 divided by -4.
60
Calculate 121 divided by -11.
-11
Divide -1070 by -5.
214
Divide 805 by -12.
-805/12
What is 84 divided by 42?
2
What is 1 divided by -1333?
-1/1333
Calculate 175 divided by -5.
-35
-5 divided by 123
-5/123
Calculate -948 divided by 1.
-948
Divide -306 by 9.
-34
Calculate 0 divided by -30.
0
What is 35 divided by 3?
35/3
Divide 660 by 6.
110
Calculate -50 divided by 3.
-50/3
What is -1016 divided by 2?
-508
Calculate -21365 divided by 4273.
-5
Divide 306 by 3.
102
2367 divided by 2
2367/2
504 divided by 9
56
-186 divided by -62
3
What is -456 divided by 6?
-76
Calculate -176 divided by 44.
-4
Divide 4 by -392.
-1/98
102 divided by -9
-34/3
What is 5 divided by -1173?
-5/1173
Divide -18444 by -3.
6148
Divide 0 by -32.
0
What is 1976 divided by -38?
-52
Calculate -7 divided by 53.
-7/53
Calculate 4 divided by 224.
1/56
What is -43430 divided by 5?
-8686
What is 487 divided by -2?
-487/2
-8360 divided by -2
4180
82 divided by 41
2
-5 divided by 322
-5/322
Calculate 14 divided by -1309.
-2/187
What is -1116 divided by 2?
-558
228 divided by -7
-228/7
Divide -261 by 1.
-261
What is 72 divided by -2?
-36
Calculate -2849 divided by 259.
-11
What is 0 divided by -1035?
0
Calculate 7 divided by -58.
-7/58
3 divided by 42
1/14
What is -260 divided by 5?
-52
What is -575 divided by 115?
-5
What is -869 divided by 5?
-869/5
2622 divided by -874
-3
Calculate 81 divided by 27.
3
-138 divided by 16
-69/8
What is 24 divided by 40?
3/5
Divide -96 by 6.
-16
1 divided by 1078
1/1078
What is 0 divided by -25?
0
Divide -1 by -39.
1/39
-148 divided by -1
148
Divide -75 by 12.
-25/4
Calculate 8463 divided by -13.
-651
873 divided by -1
-873
Calculate 1264 divided by 4.
316
Calculate -3 divided by -790.
3/790
What is 1455 divided by 5?
291
Calculate 30 divided by -6.
-5
What is 6086 divided by 2?
3043
Divide 72 by -6.
-12
Calculate -1 divided by 1245.
-1/1245
What is -26 divided by 777?
-26/777
-884 divided by -52
17
3759 divided by -1
-3759
Divide -1185 by 395.
-3
Calculate 0 divided b | {
"pile_set_name": "DM Mathematics"
} |
9.7 + z. Let a = 0.108 - 0.108. What is the biggest value in a, j, 0.5?
0.5
Let m = -0.1025 - -0.1125. Let y = 5/6 + -7/12. Which is the third smallest value? (a) y (b) -1/5 (c) m
a
Let o = 52.974 + -53. Let z = o + -22.974. Let d = -27 - z. What is the biggest value in -5, d, -2, 4?
4
Let a be (3/6)/(645/(-258)). Let w(y) = -y**3 - 3*y**2 - 1. Let o be w(-3). What is the second smallest value in -2/9, o, a?
-2/9
Let v = 54 + -54.5. Suppose -14*c + 12*c = -6. What is the fourth biggest value in 1, v, 0.09, c?
v
Let j = -315.626 - -316. Let o = j - 0.774. Which is the fourth biggest value? (a) 0.03 (b) o (c) -1/4 (d) 1
b
Let t be -15*(-6 + (2 + 1)/((-335)/(-804))). Which is the third biggest value? (a) 0.07 (b) -1 (c) t
c
Let f = -0.002 - 10.498. Let u = f + 7.4. Let c = u + 2.1. What is the second biggest value in 3, -2, c?
c
Let b = -935/2 - -455. Let v = 7.665 - 7.265. What is the smallest value in v, b, 2?
b
Let y = 55/4 + -14. Let o = 165 + -417. Let k = o + 1762/7. Which is the second smallest value? (a) k (b) -4 (c) y
a
Let p = 6816 - 6827. Which is the biggest value? (a) p (b) -13/3 (c) -1 (d) -2/5
d
Let x = -0.2 - -0.3. Let y = 2303.6 - 2304.1. Which is the biggest value? (a) 1.2 (b) x (c) y
a
Let k be (2 + 16/(-3))/((-16)/24). Let s be k/((-1300)/(-8))*(-4 - 1). Which is the fourth biggest value? (a) s (b) 0.3 (c) -16 (d) 3
c
Let b = -2635 - -2640. What is the second biggest value in 15, b, -36?
b
Let w = 1.2 - 1.4. Suppose 0 = -16*u + 11*u + 25. Suppose m - 7 = -u*j + 13, 4*m = -20. What is the smallest value in j, 2, w?
w
Let k = 48073 - 48073. Let i = 8 + -4. What is the second biggest value in -0.4, i, k, 11?
i
Let p = -7816.8 - -7817. What is the fifth smallest value in p, -0.06, 96/5, -5, 0.3?
96/5
Let h = 0.2 + -0.3. Let j = -369 + 16604/45. Let l = 47/90 + j. Which is the third biggest value? (a) l (b) h (c) -2/9
c
Let z = 233 - 564. Let v = z - -330.7. Suppose -3*o - 8 = 4*h, 6*h - 3*h + 1 = -o. What is the third biggest value in -1, v, o?
o
Let u = -17.5 - -18.03. Let z = u - 4.53. Which is the second biggest value? (a) 5 (b) -0.12 (c) z
b
Suppose 0*m = -2*p + m - 13, -4*m = 3*p + 14. Let h be (-2)/p*2/6. Let n = 15062.5 + -15063. Which is the third biggest value? (a) n (b) h (c) 6
a
Let t = 109 + -106. Suppose n = t*n + 6. What is the third smallest value in n, -12, -0.2?
-0.2
Let c = 571 + -2283/4. Let t = 449/3 - 150. What is the biggest value in 0, t, 0.5, c?
0.5
Let g = -4663 - -4663. Let x(p) = -2*p + 13. Let l be x(5). Which is the second smallest value? (a) l (b) g (c) 0.4
c
Let r be (9548/55)/(-31) + 20. Which is the fifth biggest value? (a) 1 (b) -4 (c) 0.1 (d) 0 (e) r
b
Suppose 1219*m - 1210*m - 9 = 0. Suppose 0 = -27*r + 32*r. Which is the second smallest value? (a) 0.5 (b) r (c) m
a
Let q = -327/5 - -65. Let z = -1.18 + 3.05. Let h = 1.37 - z. Which is the smallest value? (a) h (b) -0.2 (c) q
a
Let w = 61/2 + -675/22. Let h = -0.29 + 0.18. Let k = h - -4.11. Which is the third biggest value? (a) w (b) k (c) -1/3
c
Let s = 11833.3 - 11833. What is the third smallest value in -7/241, 0.2, s?
s
Let o(n) = n**3 + 3*n**2 - 14*n - 10. Let v be o(-5). Suppose -608*q - v = -613*q. Let r = 1352/9 + -150. What is the second smallest value in q, r, 6, 2/7?
2/7
Let h = 0.3 + -0.1. Let f = 2/460835 + -1843354/3225845. Which is the third biggest value? (a) 0.3 (b) f (c) h (d) 4
c
Let g = -3757 + 3752. Which is the third biggest value? (a) -2840 (b) g (c) 0.5
a
Suppose -923 = 4*l - 851. Let p be (l/15)/(16/20). What is the third biggest value in -0.11, -3, 0, p?
p
Let i = 5.4246 + -2.4246. Let h = 4.96 - -0.04. What is the smallest value in h, 0.09, i?
0.09
Let f(p) = -p**3 - 59*p**2 + 50*p - 601. Let j be f(-60). Let y be (2/6)/(4/3). Which is the second smallest value? (a) j (b) y (c) 19/2
b
Let t = 3254 + -3252. Which is the biggest value? (a) 1/9 (b) 1/18 (c) t (d) 2/37
c
Let w = 3.9241 - -0.0759. What is the third biggest value in 0.1, -2/7, -4, -6.7, w?
-2/7
Let z = 27/142 + -25/6106. What is the second smallest value in -4, -3, z?
-3
Let t = 17474 - 17478. What is the biggest value in t, -1/3, -3?
-1/3
Let m = 2402/21 + -26464/231. Which is the third biggest value? (a) -5 (b) -2/905 (c) m
a
Suppose -3*n + 352 = 5*a + 41, 4*a - 2*n - 262 = 0. Let i = -64 + a. Let z = 3.25 - 0.25. What is the biggest value in i, -4, z?
z
Let d = 544.2 - -10.8. Let f = d - 555.4. Which is the smallest value? (a) -3 (b) f (c) 523
a
Let d = 3.925 + -6.425. What is the biggest value in d, 56, 2/11?
56
Let y = 0.1238 - -0.0762. What is the second biggest value in y, 8/5, -0.4, -5, 0.6?
0.6
Let k = -8.8 - -5.8. Suppose -4*t + r = -10, -4 + 0 = 2*r. Let x be (t/3)/(8/6). What is the fourth smallest value in k, 3, 0, x?
3
Let z = 32.5 - 32. Let n be 3/(-4*3) - (-59)/(-4). Let v be 0/(n/9*3). Which is the third smallest value? (a) v (b) z (c) -4 (d) -0.03
a
Let r be (-14442)/(-783) + -3*6. Which is the smallest value? (a) -5/2 (b) -1.6 (c) r (d) -3
d
Let d = 12.62 - 10.62. What is the biggest value in d, -0.5, -0.4, 17?
17
Let t = -2.6036 - 1.3964. What is the second biggest value in 2/7, t, -378, 3?
2/7
Let n = -22717 - -22712. Suppose q - 7 = 1. Which is the third biggest value? (a) -3 (b) q (c) n (d) -2/17
a
Let v = -0.05 + 0.59. Let n = -1.04 + v. What is the biggest value in 12, n, 0.3, -4?
12
Let y = -4302.55 - -4303. Which is the second biggest value? (a) -2/5 (b) -2 (c) 2 (d) y (e) 3
c
Let l = 266/9 - 584/9. Which is the third biggest value? (a) l (b) -1 (c) -2
a
Let z be (-2)/(2 - (-1)/(-3)). Let n = -165 + 164.9. Let o be 1 + 5 + 125/(-20). What is the smallest value in n, z, 0, o?
z
Let q = -275 + -59. Let v = -334.1 - q. Let h = 1.4 + 0.6. Which is the second biggest value? (a) h (b) 0.2 (c) -1.1 (d) v
b
Suppose -1564 = -14*r + 1418. Let f = r + -208. Let l be (-1)/((-3)/(-6)*7). Which is the second biggest value? (a) 3/5 (b) f (c) l
a
Let x = -2283.3 - -2194. Let g = 89 + x. Which is the second smallest value? (a) 26 (b) g (c) -1/4
c
Let t = 28163.94 + -28164. What is the biggest value in -0.1, -1, t, 8/5?
8/5
Let k = 5511 - 5514. Let z be (3 - 0)/(21/2). Which is the third smallest value? (a) 0.1 (b) k (c) z
c
Let t be 3/(-8)*40/90. Suppose 5*p - 34 = 3*m, 60 = 4*m - 5*p + 97. Which is the third smallest value? (a) t (b) -0.17 (c) m
a
Let o = 349 + -254. Suppose 31 + o = 42*p. Which is the second smallest value? (a) -3/8 (b) 10/3 (c) p (d) 4
c
Suppose -j = -5*b + 3, -4*b - j + 0 = 3. Suppose b = h - 0*h + 4*m + 13, 5*h = 5*m - 15. Let c = 9/2 + h. What is the smallest value in c, -2, -14?
-14
Let z = -2.4 + 2. Let w be 130/(-6) + 32/((-352)/(-231)). What is the third smallest value in -10, z, w?
z
Suppose 305 - 103 = -4*z - 5*l, 140 = -3*z + 2*l. Let q be (10 + 488/z)*4/6. What is the second smallest value in 0.2, -2, q?
q
Let d = -4518 - -4539. What is the second biggest value in d, 1, -3?
1
Let n(g) = -19*g**2 - 127*g - 84. Let t be n(-6). Which is the third smallest value? (a) 4.4 (b) 0.3 (c) t
a
Let v = 167.9 + -168. Suppose -2 = -6*l + 4*l. Let h be 1 - 2 - (l - 0). Which is the second smallest value? (a) v (b) -0.4 (c) -3 (d) h
d
Let o = 75.5 + -161. Let t = 85 + o. What is the second smallest value in -0.2, t, 1?
-0.2
Suppose -w + 3*z = -16, 340*z - 8 = w + 343*z. What is the second biggest value in -1.7, 0.1, w, -0.1?
0.1
Let d = -14.14 + 7.12. Let i = 1.02 + d. Let x = 1.7 + -2. Which is the third smallest value? (a) x (b) 0.5 (c) i
b
Let r = -201.2 - -24.2. Let t = -181 - r. What is the smallest value in 0, -6/11, t?
t
Let t = -7 - -2. Let w be ((-30)/(-105))/((-66)/(-42)). Which is the third smallest value? (a) -0.1 (b) w (c) t
b
Let b = 318 + -332.7. Let d = 15 + b. Let i be 0 - -2*(-12)/264. What is the third smallest value in 3, i, d?
3
Let k be -4 + 1 - ((-4939)/990 + 2). Which is the biggest value? (a) k (b) -0.2 (c) 2
c
Let u = -4.77 - -3.919. Let i = u + 0.841. Which is the third biggest value? (a) -3/2 (b) i (c) -3/5 (d) 3
c
Let j be 2 - (2 - 25/10)/(7 - 8). Let q = 0.1 + 0. Let p = q - 0.4. Which is the second smallest value? (a) p (b) 2/7 (c) j
b
Let h be (-1 - 22/(-26))/(388/( | {
"pile_set_name": "DM Mathematics"
} |
175))**2*2.
20*sqrt(7) + 352
Simplify (-2 + sqrt(1008)*2)**2*-1.
-4036 + 96*sqrt(7)
Simplify 2*(0 + sqrt(176))**2.
352
Simplify sqrt(12)/sqrt(216) - sqrt(16)/(sqrt(24)/sqrt(3) + sqrt(8)).
-sqrt(2)/3
Simplify -3*2*sqrt(5) + 1 - (-4 + 2*sqrt(5) - (2*sqrt(35))/sqrt(7)).
-6*sqrt(5) + 5
Simplify 5 + -1*sqrt(612) - (sqrt(612) + 0 + sqrt(612)*-1)**2.
-6*sqrt(17) + 5
Simplify ((sqrt(133) - sqrt(133)*1)*2 - sqrt(133))/(-2*sqrt(14)/sqrt(2)).
sqrt(19)/2
Simplify (-4*-2*sqrt(76) + 1)**2 + 0.
32*sqrt(19) + 4865
Simplify -3 + (sqrt(19) - ((sqrt(19) - sqrt(475)) + 1)) + sqrt(19).
-4 + 6*sqrt(19)
Simplify -5 + (-2 + sqrt(13) + sqrt(1053) + 0)**2.
-40*sqrt(13) + 1299
Simplify (3 + sqrt(6)/(sqrt(432) + (sqrt(432) + sqrt(432) + 2*sqrt(432) + sqrt(432) - sqrt(432)) - sqrt(432) - sqrt(432) - sqrt(432)))**2.
sqrt(2)/4 + 2593/288
Simplify sqrt(19) + sqrt(76)/sqrt(4) + 1 - (3 + sqrt(19) + sqrt(76)).
-sqrt(19) - 2
Simplify 4 + ((sqrt(30) + sqrt(120) + sqrt(30))/sqrt(6) - (sqrt(5) + -3 + sqrt(10)/sqrt(2)))**2.
12*sqrt(5) + 33
Simplify sqrt(15)/(sqrt(5) + 1*sqrt(5) - sqrt(5)) + -1.
-1 + sqrt(3)
Simplify (sqrt(39)*-2*-5)/(sqrt(600)/sqrt(8) + sqrt(3)).
5*sqrt(13)/3
Simplify (-2 + (sqrt(125) - sqrt(125)*3))**2.
40*sqrt(5) + 504
Simplify -4 + (sqrt(252) + -5 + sqrt(252)*1 + sqrt(252))*3.
-19 + 54*sqrt(7)
Simplify sqrt(50)/(sqrt(490) + (sqrt(490) - sqrt(490)*-2) - sqrt(490)) + -1.
-1 + sqrt(5)/21
Simplify 1 + sqrt(114)/((sqrt(6) + sqrt(18)/sqrt(3))*-3).
-sqrt(19)/6 + 1
Simplify -5*sqrt(1053)*-1 + 0.
45*sqrt(13)
Simplify (-4 + sqrt(684)*-3)**2.
144*sqrt(19) + 6172
Simplify (2 + 6*sqrt(300))**2.
240*sqrt(3) + 10804
Simplify (sqrt(128) - (sqrt(128) + sqrt(128)*1*-2))**2 + -4.
508
Simplify (2*sqrt(32) + sqrt(2) - sqrt(2) - (-3*sqrt(10) + sqrt(10))/sqrt(5))**2.
200
Simplify ((sqrt(18) - (sqrt(18) + 1*sqrt(18)))*1)/(4*sqrt(18)/sqrt(2)).
-sqrt(2)/4
Simplify (sqrt(5) - sqrt(25)/sqrt(5))*2 + sqrt(5)*-4*-3.
12*sqrt(5)
Simplify 2*1*(-5 + sqrt(7) + -5).
-20 + 2*sqrt(7)
Simplify ((sqrt(156) - (sqrt(156) + (sqrt(156)*3 - sqrt(156) - sqrt(156))))*-4)/((sqrt(60)*-3)/sqrt(5)).
-4*sqrt(13)/3
Simplify 1*(-5 + sqrt(19) + -1).
-6 + sqrt(19)
Simplify (-4 + (sqrt(637) - (1 + (sqrt(637) - (sqrt(637) + -2*sqrt(637))) - sqrt(637))))**2.
25
Simplify (0 + (sqrt(19) + 1)*6*5)**2.
1800*sqrt(19) + 18000
Simplify ((sqrt(68) + -4*(((sqrt(68)*-1 - sqrt(68)) + sqrt(68) + sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68)) - sqrt(68)) + sqrt(68))/sqrt(4).
-3*sqrt(17)
Simplify sqrt(156)/((sqrt(48)*-5)/sqrt(4) - sqrt(12)).
-sqrt(13)/6
Simplify 1*(-4 + (2*sqrt(17) - sqrt(17))**2*1).
13
Simplify ((-2*sqrt(76))/sqrt(4))**2 - (sqrt(19) - (sqrt(19) + 0))*3.
76
Simplify (sqrt(204)*2*1)/((sqrt(96)*-3)/sqrt(8)).
-2*sqrt(17)/3
Simplify (sqrt(19) - sqrt(228)/(2*sqrt(12)) - ((sqrt(19) - ((sqrt(171)*2)/sqrt(9) + sqrt(19) - sqrt(19))) + sqrt(19)))**2.
19/4
Simplify 3*(6*sqrt(128) + sqrt(128))**2.
18816
Simplify (sqrt(272) + (-1 + sqrt(272))*2 + sqrt(272) - sqrt(272))**2.
-48*sqrt(17) + 2452
Simplify (sqrt(1800) + -1 + -4 + sqrt(50)*2)**2.
-400*sqrt(2) + 3225
Simplify -4*sqrt(38)/sqrt(2) + 4.
-4*sqrt(19) + 4
Simplify (sqrt(128) + 2)**2.
32*sqrt(2) + 132
Simplify ((sqrt(190)/(sqrt(80) - sqrt(5)))/(4*sqrt(8)/sqrt(4)))**2.
19/144
Simplify ((3 + sqrt(325))*4)**2.
480*sqrt(13) + 5344
Simplify -4 + (sqrt(11) - (sqrt(33)/(sqrt(3) - sqrt(3)*-3))**2).
-75/16 + sqrt(11)
Simplify (sqrt(33) - sqrt(1188)*2)/sqrt(11).
-11*sqrt(3)
Simplify -4 + ((sqrt(2268) + -1 - sqrt(2268)) + sqrt(2268))**2 + sqrt(63).
-33*sqrt(7) + 2265
Simplify sqrt(108) + -3*(sqrt(108) + (sqrt(108) - (0 + sqrt(108)) - sqrt(108)))**2.
6*sqrt(3)
Simplify 5*(-3*(sqrt(4)/sqrt(2) + 5) + -2).
-85 - 15*sqrt(2)
Simplify -4*(-6*sqrt(147) - sqrt(3)).
172*sqrt(3)
Simplify (sqrt(84)/(sqrt(12) + sqrt(2352)))**2.
7/225
Simplify (sqrt(240)/sqrt(6))/sqrt(8)*-4.
-4*sqrt(5)
Simplify 5*(sqrt(2) + -2)**2 - (4*(sqrt(2) - 1*sqrt(2)))**2.
-20*sqrt(2) + 30
Simplify ((sqrt(68) + 1)*1)**2.
4*sqrt(17) + 69
Simplify (-4 + 1 + sqrt(704) + sqrt(704))**2.
-96*sqrt(11) + 2825
Simplify (sqrt(7) - sqrt(1008)*-4)**2 + 5.
16812
Simplify (4 + 6*(-5 + 2*sqrt(18)))**2.
-1872*sqrt(2) + 3268
Simplify -3 + (4*sqrt(19)*-2)**2.
1213
Simplify (sqrt(33) + sqrt(132)*-1)/(sqrt(22)/(sqrt(4)/sqrt(2))) + 0.
-sqrt(3)
Simplify (sqrt(27) + sqrt(675))/sqrt(9) + sqrt(24)/(sqrt(8) + sqrt(8)*-3 + sqrt(8)).
5*sqrt(3)
Simplify (6*sqrt(18)/(sqrt(1089) + sqrt(1089) + -1*sqrt(1089) + sqrt(1089) + sqrt(1089) + sqrt(1089)))**2.
9/242
Simplify (sqrt(208) + -2*sqrt(208))**2 - (-2*sqrt(1872) + sqrt(1872)) - (-5 + sqrt(13)*2 - (sqrt(39)/sqrt(3) + -4)).
11*sqrt(13) + 209
Simplify -2*(-3 + sqrt(2)*-2).
4*sqrt(2) + 6
Simplify sqrt(104)/(sqrt(288)*3).
sqrt(13)/18
Simplify ((sqrt(8208)*-2 - sqrt(57))/(-6*sqrt(12)/sqrt(4) + sqrt(3) + sqrt(3)))**2.
11875/16
Simplify 1*sqrt(112) + 1.
1 + 4*sqrt(7)
Simplify (sqrt(88) - (sqrt(88) + -5*(sqrt(88)*1 - sqrt(88)) + sqrt(88)))/(sqrt(512)*2).
-sqrt(11)/16
Simplify 0 + (2 + sqrt(612))*3.
6 + 18*sqrt(17)
Simplify ((sqrt(99) - (-1*-2*sqrt(99) - sqrt(99)))/(4*sqrt(18)/sqrt(2)))**2.
0
Simplify sqrt(24)/sqrt(3)*-4.
-8*sqrt(2)
Simplify -1 + -1*((3*sqrt(8)/sqrt(4))**2 + -5).
-14
Simplify (sqrt(2) - sqrt(32)*2)*-4.
28*sqrt(2)
Simplify ((sqrt(300) + -2)*-6 - sqrt(300))**2.
-1680*sqrt(3) + 14844
Simplify -1 + sqrt(720)*3.
-1 + 36*sqrt(5)
Simplify ((sqrt(7) - (-2 + sqrt(7))) + 0)**2 - (sqrt(35)/(sqrt(5) - sqrt(80)))**2.
29/9
Simplify sqrt(3) + 4 + sqrt(48) - (sqrt(243) + -2).
-4*sqrt(3) + 6
Simplify (-2 + 1*sqrt(18) + sqrt(18))**2 - (1 + sqrt(72)/sqrt(4) + sqrt(18)).
-30*sqrt(2) + 75
Simplify sqrt(57)/sqrt(3)*-1 - sqrt(684)*2.
-13*sqrt(19)
Simplify (sqrt(13)*-1*-4 + 2*sqrt(1300))**2 - (sqrt(39)/sqrt(3) + 5)*5.
-5*sqrt(13) + 7463
Simplify sqrt(44) + -2 + -5.
-7 + 2*sqrt(11)
Simplify 2 + (sqrt(19) + -4 + sqrt(19))**2*-2.
-182 + 32*sqrt(19)
Simplify -3 + (sqrt(72)*-2 + 4)**2.
-96*sqrt(2) + 301
Simplify sqrt(136)/(sqrt(72)/(sqrt(36)/sqrt(4))) + -3*((sqrt(17) + -1)*3)**2.
-486 + 55*sqrt(17)
Simplify ((sqrt(125)*-3 + sqrt(125))/sqrt(5))/((sqrt(60)*-3)/sqrt(12)).
2*sqrt(5)/3
Simplify (-4*-4*(sqrt(2) + -2))**2.
-1024*sqrt(2) + 1536
Simplify -6*((sqrt(76) - (sqrt(76) + ((sqrt(76) - (sqrt(76) + sqrt(76) + 0)) + sqrt(76))*3 - sqrt(76))) + (-2*sqrt(76))**2*-3).
-12*sqrt(19) + 5472
Simplify (sqrt(270)/sqrt(96))/(sqrt(9) + sqrt(441) + 2*sqrt(441)).
sqrt(5)/88
Simplify -1*sqrt(19) + 4 + sqrt(190)/sqrt(90).
-2*sqrt(19)/3 + 4
Simplify (2*sqrt(80))**2*4 - ((sqrt(80)*-1)**2 + 5).
1195
Simplify (5*2*(sqrt(448) - sqrt(448)*-2))**2.
403200
Simplify (3*(sqrt(13) + sqrt(13) + sqrt(832) + -1))**2.
-180*sqrt(13) + 11709
Simplify (sqrt(17) + (sqrt(34)/sqrt(32) - sqrt(17)))*-4.
-sqrt(17)
Simplify sqrt(272) + 1*sqrt(272)*-1.
0
Simplify -3*(sqrt(3) + (0 + sqrt(30)/sqrt(10) - sqrt(3))**2).
-3*sqrt(3)
Simplify (sqrt(2057)*-1 + sqrt(2057))*4.
0
Simplify (-2*(sqrt(325) + sqrt(325) + 0 + -1))**2.
-80*sqrt(13) + 5204
Simplify (-1 + (sqrt(1377) - 2*sqrt(1377)))**2.
18*sqrt(17) + 1378
Simplify ((sqrt(10)*2)/sqrt(2))**2 + -4.
16
Simplify (sqrt(24)/(sqrt(8) - (1*sqrt(8) - sqrt(8))) + -1)*5.
-5 + 5*sqrt(3)
Simplify sqrt(4)/(1*sqrt(2)*4)*3.
3*sqrt(2)/4
Simplify 4*-1*(3 + sqrt(3) - sqrt(3)).
-12
Simplify ((sqrt(2268) - (sqrt(2268) - (sqrt(2268) + -2*sqrt(2268)))) + sqrt(2268) + sqrt(28))/((sqrt(32)*1)/sqrt(8)).
sqrt(7)
Simplify sqrt(325) + 0 + (sqrt(13) - sqrt(143)/(sqrt(44)/sqrt(4)))**2.
5*sqrt(13)
Simplify (-1*sqrt(171)*-2)/(-3*sqrt(144)).
-sqrt(19)/6
Simplify (-5*3*sqrt(363)*-4)**2.
1306800
Simplify (1*(2 + sqrt(891)) + 3*sqrt(891) + -5)**2.
-216*sqrt(11) + 14265
Simplify (sqrt(32)*-3 + -1 + (2*sqrt(2) + sqrt(2) - sqrt(2) - sqrt(2)))**2.
22*sqrt(2) + 243
Simplify (sqrt(11) - (sqrt(11)*1 - sqrt(11)) - sqrt(11))**2*4 + sqrt(11) - (sqrt(176) + 1 - sqrt(176) - sqrt(11))**2.
-12 + 3*sqrt(11)
Simplify (4*(sqrt(95) + sqrt(95)*-1))/sqrt(5) - (sqrt(228)/(sqrt(24)/sqrt(2)))**2*4.
-76
Simplify ((-2*sqrt(336))/(sqrt(1575)/sqrt(9) - sqrt(7)))**2.
12
Simplify (6*-2*sqrt(22))/sqrt(11).
-12*sqrt(2)
Simplify (sqrt(171)*-1 + sqrt(171))*4 + ((sqrt(171) - (sqrt(171)*2 + sqrt(171)))*5 - sqrt(171))**2.
20691
Simplify (sqrt(22)/sqrt(32))**2 - (-1 + sqrt(44)).
-2*sqrt(11) + 27/16
Simplify sqrt(63) - sqrt(63)*1 - sqrt(21)/sqrt(108).
-sqrt(7)/6
Simplify (1 + sqrt(245))**2*-6*-6.
504 | {
"pile_set_name": "DM Mathematics"
} |
Let c be (-4)/(-1) - (1 + (-10)/5). Suppose 96 = 4*v + 3*d - 80, 5*d + 255 = c*v. Does 26 divide v?
False
Let f(x) be the third derivative of -x**4/24 + 4*x**3 + 11*x**2. Is f(0) a multiple of 12?
True
Let g(i) = -2*i**3 + 12*i**2 + 13*i - 54. Is 19 a factor of g(5)?
False
Let k be 333/(-12)*(-32)/(-12). Let c = 122 + k. Is 3 a factor of c?
True
Suppose 8*o - 152 - 352 = 0. Does 7 divide o?
True
Let i = -38 - -19. Let a = i + 13. Is (34*-2)/(a + 4) a multiple of 17?
True
Suppose -5*p + 10 = -10. Let b(g) = -9*g + 2. Let f be b(p). Is f/(-3) - 6/(-9) a multiple of 12?
True
Suppose -5*v + 814 = 59. Does 15 divide v?
False
Let s(c) be the second derivative of -c**4/12 - 3*c**3/2 + 9*c**2 + 18*c. Is 9 a factor of s(-9)?
True
Suppose -8*v + 9*v - 5 = 0. Let w = 1 + -1. Suppose w = 5*l - v*i - 81 - 154, 2*l - i - 93 = 0. Does 14 divide l?
False
Suppose n - 5 + 3 = 2*a, -14 = -3*n + 4*a. Suppose n*y = 5*y + 670. Is 23 a factor of y?
False
Let n(l) be the third derivative of -l**6/120 + 11*l**5/60 - l**4/3 + 2*l**3/3 + 8*l**2. Is 24 a factor of n(7)?
True
Suppose -4314 - 1521 = -5*t + 3*b, 3*t - 2*b - 3500 = 0. Is t a multiple of 78?
True
Let y(l) = l**3 - 24*l**2 + 22*l + 26. Let d be y(23). Suppose 2*n - 145 = c, -d*c = -4*n - 0*n + 285. Is 15 a factor of n?
True
Suppose u + 4*t = 4*u + 14, 5*t - 31 = -3*u. Let m(c) = -2*c + 6*c + 7 + 0*c**u + c**2. Is 23 a factor of m(4)?
False
Suppose -246 = -4*p + 114. Let n be -8 + 7 - 106/2. Let r = n + p. Does 18 divide r?
True
Let v = -388 + 728. Is v a multiple of 28?
False
Let w(v) = -11*v + 15. Let y be (0 - 0) + (-35)/7. Is w(y) a multiple of 23?
False
Let y be 1 - (-3 - (1 - 2)). Let w be (-7)/y - (-9)/27. Is 16 a factor of (-2 - w) + 2 + 31?
False
Let j(l) = l**3 - 8*l**2 + 2*l - 12. Let u be j(8). Let p(c) = 1 + c**2 + 7 - 5 - u*c. Is 12 a factor of p(7)?
True
Let k(l) = 49*l + 88. Is k(30) a multiple of 19?
True
Suppose 4*v = 3*l + 564, 4*v = v - 2*l + 440. Suppose 7*s = 4*s + v. Does 24 divide s?
True
Let a = -6 + 6. Suppose -2*o + 35 + 5 = a. Does 14 divide o?
False
Let p(f) = -f + 13. Suppose 4*j = -2*j + 60. Let c be p(j). Is 17*1*3/c a multiple of 17?
True
Let m(p) = 3*p**2 + 20*p + 19. Let r(o) = -o**2 - o. Let d(n) = -m(n) - 2*r(n). Does 19 divide d(-14)?
False
Suppose 6*g + 2362 = f + 4*g, 4*f - 2*g = 9466. Is f a multiple of 74?
True
Let t = 23 + -19. Suppose r = -p - 3*p + 24, t = 2*p. Is 8 a factor of r?
True
Suppose -44*m + 223354 = -11210. Is m a multiple of 23?
False
Let u(p) = 23*p + 10. Does 20 divide u(10)?
True
Let c(a) = -8*a + 1. Let g be c(-1). Let h(v) be the third derivative of v**4/8 - v**3/6 - 23*v**2. Does 13 divide h(g)?
True
Suppose -9*c = -6*c + 393. Let x = -51 - c. Does 16 divide x?
True
Let g(t) = -t**3 + 7*t**2 + 14*t - 91. Let f be g(6). Let c(r) = r**3 - r + 4. Let z be c(0). Suppose -z*j - f = -133. Does 13 divide j?
True
Let w(f) = 5*f + 11. Let j be w(-7). Let c = j - -3. Is (-14)/c + 318/9 a multiple of 8?
False
Let p(o) = 17*o + 93. Is 9 a factor of p(21)?
True
Suppose 107 + 101 = 4*l. Suppose -2*a = u - l + 11, -174 = -4*u - 3*a. Is 9 a factor of u?
True
Let y = -33 + 39. Suppose 0 = -3*k - 5*v + 448, k - 4*v + 764 = y*k. Is k a multiple of 39?
True
Let m be 981*(2 - (-15)/(-9)) - -3. Suppose 44*f = 41*f + m. Is f a multiple of 11?
True
Suppose 19*g - 18*g - 2 = 0. Is 1 - ((-1)/(g - 3) + -165) a multiple of 33?
True
Let v be (4/8)/((-1)/(-6)). Suppose 5*x = v*b - 71, b + x + 4*x - 17 = 0. Suppose -4*i = -334 + b. Is 27 a factor of i?
False
Let x = 2 - -6. Let i(g) = g**3 - 9*g**2 + 8*g + 5. Let u be i(x). Suppose m + 105 = u*r - 2*m, 0 = -5*r - 3*m + 135. Is r a multiple of 6?
True
Suppose -4*d - 12 = -2*d. Let s(q) = 2*q**2 + 5*q - 1. Let b be s(d). Suppose -4 - b = -x. Does 15 divide x?
True
Let t be 46/(-3)*(62 - 65). Let u(p) = -p**2 + 6*p - 5. Let w be u(4). Is t - (w + -8 - -1) a multiple of 25?
True
Suppose f + 5 = -4*f. Suppose 7*j + 10 = 12*j. Is 6 a factor of j - (-22 + 0) - f?
False
Let n be (2/(-3))/(-1)*3. Suppose r - n*x = -r + 62, -r - 5*x + 55 = 0. Does 14 divide r?
False
Let r = -2154 + 5634. Is 40 a factor of r?
True
Is 21 a factor of ((-49)/(-4))/((-4)/(-432))?
True
Does 117 divide (-6)/21 - -2*(-22122)/(-63)?
True
Let n = 70 - 119. Suppose -4*o + 2*v = -394, -3*o + 6*o + 2*v - 313 = 0. Let u = o + n. Does 10 divide u?
False
Let h = -356 + 524. Is h a multiple of 7?
True
Suppose 6*l - 24 - 30 = 0. Suppose 1150 = l*z - 389. Is z a multiple of 19?
True
Let c(r) = -r**3 + 20*r**2 - 50*r + 17. Does 3 divide c(15)?
False
Let k be (0 - (-4)/(-12))*-21. Suppose k*u - 5*u = 0. Suppose -4*v = j - 34, -5*v = 3*j - u*v - 116. Is j a multiple of 26?
False
Suppose 9*l = 4*l + 10. Let i(n) = 36*n - 3. Is 10 a factor of i(l)?
False
Suppose 0 = -2*m - 2565 - 2101. Let i = m - -776. Does 8 divide i/(-54) + (-1)/(-6)?
False
Let d be (-18)/4 - (-2)/(-4). Let c = -1 - d. Suppose -25 = -c*q + 19. Is q a multiple of 11?
True
Let o(f) = 2*f**3 - 3*f**2 + 5*f - 3. Does 12 divide o(6)?
False
Let y(v) = -20*v - 95. Is y(-9) a multiple of 37?
False
Let a(u) = 2*u**2 - 50*u + 92. Is 7 a factor of a(30)?
True
Let k be 12/(-12)*42/(-1). Suppose 3*b = 2*r + b - k, 4*r = 2*b + 74. Does 4 divide r?
True
Suppose 51 = 2*l + 4*q - 19, 5*q + 75 = 4*l. Suppose -6*a = -a - l. Suppose -2*c = 0, a*m + 2*c - 35 - 5 = 0. Does 4 divide m?
True
Let k = -9 + 15. Is (k/10)/(14/350) even?
False
Let g = -236 - -589. Is 10 a factor of g?
False
Let p be 0 - 2 - (0 + 2). Let d = -4 - p. Let q(h) = h**3 + 8. Is 8 a factor of q(d)?
True
Does 3 divide 3/(-3)*29/(-1)?
False
Suppose 3*q - 948 = -192. Suppose 4*v - q = -4*b, v = 3*b - v - 169. Does 15 divide b?
False
Let h be 5*1*58/5. Suppose 6 = -5*a + 3*a - 3*r, -a - 2*r - 3 = 0. Is a/(-9) + h/6 a multiple of 10?
True
Is 10 a factor of (-7 - (-4 - -2)) + (36 - -295)?
False
Suppose 9 + 19 = 4*f - 4*q, 0 = -3*f - 2*q + 6. Is (-1)/(-3*f/588) a multiple of 49?
True
Let f be (-1)/(-3) - 14560/(-42). Suppose -2*r = -t + 5*t - 476, f = 3*t - r. Suppose -5 = 4*m - t. Is m a multiple of 14?
True
Let g(v) = -13*v - 6*v - 19 + 0*v - v**2. Is 6 a factor of g(-13)?
False
Let t be ((-3)/(18/4))/(14/(-861)). Let f = t + 67. Does 12 divide f?
True
Let z = -4969 - -7324. Does 12 divide z?
False
Let i(w) = 9*w**2 - 25*w - 6. Let d(r) = 6*r**2 - 17*r - 4. Let s(q) = -7*d(q) + 5*i(q). Is s(4) a multiple of 4?
False
Let v be (-2 + 156/15)*-5. Let p = v + 15. Is (3 + p/6)*-4 a multiple of 6?
True
Let l be (-3)/(-4) - 10/(-8). Suppose 5*s - 17 + 397 = 5*a, l*s = -3*a + 238. Is 26 a factor of a?
True
Let x(o) = -6*o - 5. Let c be x(13). Let k = 22 + -147. Let t = c - k. Does 10 divide t?
False
Let o = 384 + -333. Is o a multiple of 2?
False
Let d(n) = 10*n**2 + 7*n + 109. Is 69 a factor of d(-11)?
True
Let g(w) = 5*w**2 - 2*w - 3. Let s(c) = 2*c**3 - 2*c**2 - c + 1. Let n(j) = j**3 + j**2 + 1. Let k(x) = n(x) - s(x). Let t be k(3). Is g(t) a multiple of 12?
True
Let h(s) = 152*s**2 - 43*s + 81. Does 67 divide h(2)?
True
Let s(h) = h**3 + 26*h**2 + 10*h + 103. Does 7 divide s(-24)?
True
Let c be -3*(-4)/(-3) - 64/(-8). Does 29 divide 2/c - 11466/(-36)?
True
Suppose 3*a - 25 = -4*c + 120, 20 = 5*c. Let h = a - -33. Is 17 a factor of h?
False
Suppose 5*t + 5*s - 10 = 0, t - 2*s + 12 = 2. Is 20 a factor of -2 + t + 3 + 61?
True
Let y be 0/(7/((-7)/(-2))). Let r(b) = -2 + 10 - b + y*b + 2*b. Is r(6) a multiple of 7?
True
Is 24 a factor of ((-3288)/9)/((-3)/27)?
True
Let u(b) = -b**3 - 7*b**2 + 16*b + 14. Let l be u(-7). Let p = -49 - l. Is p a multiple of 6?
False
Suppose -4*u + 0*u = 2*g + 22, -3*u + 2*g = 34. Let r be -3 + -2 + 7 + u. Is 11 a factor of r*(0 + (-33)/9)?
True
Let k be ((-16)/(-10))/(6/(-15)). Does 8 divide (66/k)/(4/(-8))?
False
Suppose c + 3*f = 16, -c + 3*f + 4 - 18 = 0. Suppose -c = 5*g - 4*g. Is (9 - (g - -4)) + 1 a multiple of 3?
False
Suppose 2*m = -529 + 1617. Suppose -v + 47 = 5*p - 104, -4*v - 5*p + m = 0. Is 7 a factor of v?
False
Suppose 2*l = 3*m + 22, -4*l = 2*m - 3*m - 24. Suppose 6*w + 230 = -l*y + 3*w, w + 48 = -y. Let d = y + 87. Is 22 a factor of d?
True
Let x be (180/8 + 4)/((-1)/(-6)). Suppose 0 = 5*u - 3*b - 560, -3*u - x + 495 = b. Is 14 a factor of u?
True
Is (1 - 3140/8)*(-112)/84 a multiple of 21?
False
Let v(g) = g**2 + 13*g + | {
"pile_set_name": "DM Mathematics"
} |
) to base 3.
122110220
What is -68 (base 9) in base 2?
-111110
Convert 244 (base 15) to base 14.
28a
Convert -2300132 (base 4) to base 9.
-16438
Convert 14 (base 10) to base 5.
24
Convert -350 (base 7) to base 3.
-20202
What is -1132 (base 4) in base 9?
-114
-4ce (base 16) to base 13
-738
What is -101011000110010 (base 2) in base 5?
-1201231
1c1 (base 16) to base 14
241
Convert 200211010 (base 3) to base 5.
414334
What is -2320 (base 4) in base 9?
-224
What is -8de (base 15) in base 3?
-2202102
-102663 (base 8) to base 14
-c68b
-22318 (base 13) to base 8
-171134
What is 162a (base 14) in base 2?
111101110110
Convert 6663 (base 7) to base 3.
10021210
What is 138 (base 13) in base 2?
11011000
Convert -107b5 (base 12) to base 16.
-5579
Convert 36199 (base 12) to base 10.
72837
-1110111 (base 2) to base 5
-434
-4011430 (base 5) to base 13
-22ac3
3440344 (base 5) to base 12
2ba46
26770 (base 10) to base 7
141022
What is 2145 (base 6) in base 13?
2c3
35434 (base 6) to base 10
5134
What is -14365 (base 7) in base 3?
-12102221
What is 10201 (base 4) in base 2?
100100001
What is -1252 (base 8) in base 10?
-682
What is -110020212 (base 3) in base 15?
-29a8
-526 (base 9) to base 5
-3204
6305 (base 7) to base 8
4242
1110110001011000 (base 2) to base 14
1809a
Convert 46a2 (base 12) to base 11.
5a30
1645 (base 7) to base 6
3034
c3d (base 16) to base 12
1991
Convert 1081 (base 9) to base 2.
1100100010
1b07c (base 13) to base 14
15379
Convert -1d38 (base 14) to base 6.
-40422
Convert -2021 (base 6) to base 3.
-121111
Convert 9770 (base 14) to base 6.
321050
-220221 (base 3) to base 16
-2a1
What is -260536 (base 8) in base 5?
-10343322
What is a12b (base 13) in base 14?
8120
Convert -729 (base 12) to base 6.
-4453
What is 4d48 (base 16) in base 14?
72d2
Convert -43387 (base 9) to base 3.
-1110102221
What is 89 (base 15) in base 5?
1004
-14049 (base 10) to base 14
-5197
Convert -31 (base 11) to base 9.
-37
What is -2003 (base 4) in base 8?
-203
What is 296b (base 13) in base 4?
1131310
Convert -4881 (base 13) to base 4.
-2200011
What is -120541 (base 7) in base 15?
-673d
Convert 2a (base 14) to base 3.
1102
What is 1111110 (base 2) in base 6?
330
What is -324100 (base 6) in base 8?
-64304
Convert 2026 (base 12) to base 11.
268a
What is -6af (base 16) in base 14?
-8a3
What is 5a5 (base 14) in base 11?
933
-10312 (base 5) to base 11
-593
What is a5 (base 14) in base 9?
171
What is -1301 (base 5) in base 15?
-d6
-ed4 (base 16) to base 8
-7324
-11120120 (base 3) to base 9
-4516
Convert 110323 (base 6) to base 10.
9195
-210002 (base 4) to base 11
-1807
Convert -1568 (base 13) to base 4.
-300320
What is -dd (base 14) in base 2?
-11000011
What is -2223 (base 4) in base 5?
-1141
-52580 (base 9) to base 11
-24112
Convert 12011120 (base 3) to base 2.
111010111000
-2702 (base 11) to base 5
-103021
What is -1000 (base 3) in base 15?
-1c
Convert 150200 (base 6) to base 15.
43a3
323 (base 6) to base 11
102
Convert 5c4 (base 13) to base 3.
1101020
Convert 43774 (base 8) to base 16.
47fc
What is 748 (base 13) in base 10?
1243
What is 77e (base 16) in base 3?
2122001
What is 395 (base 14) in base 8?
1317
-821 (base 14) to base 12
-b11
3714 (base 13) to base 14
2ba7
Convert -2aa (base 11) to base 6.
-1402
What is 4200 (base 5) in base 13?
334
-1241133 (base 6) to base 12
-331a9
What is 1555 (base 8) in base 10?
877
Convert 15a6 (base 12) to base 8.
5016
Convert -242 (base 15) to base 8.
-1000
-1a81 (base 11) to base 16
-a46
What is 1202212 (base 3) in base 13?
785
57ac (base 13) to base 14
46b4
Convert -1434002 (base 5) to base 6.
-353114
Convert 13874 (base 13) to base 3.
1212012112
What is -15116 (base 7) in base 15?
-1388
Convert -2031001 (base 4) to base 10.
-9025
3ca7 (base 14) to base 4
2213223
Convert -10169 (base 11) to base 16.
-39f5
What is 11e (base 15) in base 11?
211
What is 2220 (base 7) in base 5?
11143
229 (base 14) to base 8
655
What is 102 (base 12) in base 2?
10010010
-102043 (base 5) to base 14
-134a
-4260 (base 12) to base 16
-1c68
What is -533 (base 9) in base 4?
-12303
What is -1118 (base 12) in base 11?
-1470
Convert -7a2e (base 15) to base 16.
-653f
34123 (base 5) to base 12
1491
71b (base 14) to base 4
111311
Convert -11254 (base 7) to base 6.
-21201
-2100022 (base 3) to base 4
-122231
-5554 (base 6) to base 4
-110032
16226 (base 8) to base 4
1302112
346 (base 10) to base 6
1334
What is -11312323 (base 4) in base 13?
-abca
Convert -240a (base 14) to base 8.
-14212
What is 34880 (base 12) in base 2?
10001001011100000
What is 270 (base 9) in base 13?
144
Convert 1500 (base 8) to base 5.
11312
What is b5 (base 16) in base 8?
265
What is 10000110010000111 (base 2) in base 7?
404263
-162446 (base 8) to base 11
-4008a
What is -30211102 (base 4) in base 10?
-51538
Convert -851 (base 16) to base 5.
-32004
What is 53451 (base 6) in base 11?
553a
Convert -637 (base 11) to base 4.
-23332
-71 (base 8) to base 3
-2010
What is 65 (base 13) in base 7?
146
What is -303033 (base 4) in base 2?
-110011001111
-30121 (base 4) to base 13
-490
-4034101 (base 5) to base 13
-23705
What is -90a8 (base 12) in base 6?
-200332
Convert -4eb (base 15) to base 9.
-1475
5154 (base 6) to base 10
1150
2651 (base 16) to base 2
10011001010001
Convert 23112 (base 4) to base 9.
886
What is -34f2 (base 16) in base 4?
-3103302
185 (base 15) to base 10
350
-27b (base 13) to base 9
-538
What is -31102 (base 5) in base 6?
-13215
-121 (base 4) to base 14
-1b
-100476 (base 8) to base 5
-2024321
Convert 120 (base 5) to base 11.
32
-11111101 (base 3) to base 9
-4441
What is -111101010011 (base 2) in base 15?
-1268
What is 50432 (base 7) in base 6?
132332
-1000113 (base 4) to base 5
-112434
What is 4b5 (base 15) in base 9?
1418
Convert -14034 (base 5) to base 13.
-6a0
286 (base 16) to base 14
342
What is -1001100010111100 (base 2) in base 8?
-114274
Convert -11000 (base 3) to base 6.
-300
-4 (base 10) to base 11
-4
-188 (base 14) to base 12
-224
What is -101000011110 (base 2) in base 7?
-10360
8e72 (base 16) to base 11
25441
Convert -497 (base 14) to base 6.
-4125
Convert -1211212100 (base 3) to base 8.
-106777
Convert -13971 (base 13) to base 15.
-ad60
-122120 (base 3) to base 5
-3344
-430525 (base 6) to base 3
-1210021022
Convert 6201 (base 16) to base 13.
b55c
-1011101001110101 (base 2) to base 15
-e223
Convert 278 (base 11) to base 5.
2302
What is a438 (base 13) in base 3?
1011010111
-11003 (base 4) to base 10
-323
-30070 (base 9) to base 12
-b516
78b9 (base 12) to base 7
54015
Convert 1011021 (base 3) to base 16.
34c
What is 131 (base 11) in base 12?
10b
What is 1035 (base 8) in base 11?
452
What is -11414 (base 5) in base 14?
-455
What is -1014211 (base 6) in base 2?
-1011111011111111
Convert 617 (base 13) to base 11.
860
What is 32312 (base 6) in base 14?
188c
What is 6065 (base 8) in base 12?
1985
-1475 (base 8) to base 9
-1121
What is -6fe (base 16) in base 12?
-1052
Convert 625 (base 12) to base 10.
893
11341 (base 7) to base 8
5550
1216a (base 11) to base 7
102010
Convert 33113 (base 8) to base 14.
50cb
What is -1ab (base 16) in base 2?
-110101011
Convert 10104 (base 6) to base 15.
5e1
-853b (base 12) to base 2
-11100011111111
Convert -104152 (base 6) to base 16.
-2204
Convert 42 (base 13) to base 12.
46
-10303 (base 6) to base 3
-1221010
Convert -55732 (base 10) to base 4.
-31212310
-44223 (base 9) to base 5
-1414333
Convert -1223 (base 10) to base 7.
-3365
-21f (base 16) to base 3
-202010
4367 (base 8) to base 11
17a7
Convert 63 (base 8) to base 5.
201
Convert 13144 (base 5) to base 9.
1385
Convert 503 (base 7) to base 14.
13a
Convert 11050 (base 6) to base 9.
2103
Convert 182 (base 13) to base 15.
135
-a7 (base 15) to base 3
-12211
What is -1220231 (base 4) in base 16?
-1a2d
355 (base 9) to base 11
247
What is -15436 (base 9) in base 14?
-3bc7
What is -779 (base 13) in base 7?
-3512
23224 (base 7) to base 13
2926
2982 (base 11) to base 15
1211
Convert 8ad (base 14) to base 5.
23341
What is -3132231 (base 4) in base 10?
-14253
460 (base 9) to base 10
378
Convert 38715 (base 9) to base 16.
65f0
Convert 71405 (base 9) to base 16.
b789
-6fe2 (base 16) to base 3
-1110021211
1192 (base 12) to base 15
8c2
What is -32616 (base 7) in base 14?
-2db6
-1013113 (base 4) to base 6
-33051
Convert | {
"pile_set_name": "DM Mathematics"
} |
ppose -12300 + m = -9*o. Is o a composite number?
False
Suppose 0 = 2*g + 16, 11*p - 8*p = -4*g + 66949. Is p a composite number?
True
Let n(z) = -2*z + 7. Suppose 4*p - 2*v + 27 = 9, -3*p + v - 15 = 0. Let y be n(p). Suppose -y*t - 6964 = -23*t. Is t composite?
False
Let r(j) = -17*j + 9. Let n be r(15). Let a = 367 + n. Let v = 270 - a. Is v composite?
False
Let z be ((-1480)/(-4))/(1/6). Let h = -1526 + z. Let x = 1281 - h. Is x prime?
True
Suppose 3*n = 5*r + 173920 - 20118, 2*n = 2*r + 102540. Suppose -n = -7*a - 12977. Is a a composite number?
False
Let o(d) = -289*d + 7. Suppose -9*c + 48 = -c. Let x be 3*(-2)/c - 3. Is o(x) a prime number?
True
Suppose -2*l - 7 = -3. Let k be 3639 + (1/l + 1)*4. Suppose 5*g + k = 16*g. Is g composite?
False
Let v be ((-15)/40 - 21/8) + -7130. Let q = v + 22362. Is q a prime number?
False
Suppose -s + 74845 = 3*x - 29306, 3*s - 34717 = -x. Is x prime?
False
Is (-20 + 12 - (-17)/(-2))*(-88318)/3 composite?
True
Suppose 44*x = 3*i + 41*x - 129348, -2*i + 3*x = -86231. Is i a composite number?
False
Let d(w) = 568*w**3 - 41*w**2 + 170*w - 51. Is d(10) a composite number?
False
Let b(l) = -182*l + 190*l - 2 - 1. Let q be b(1). Suppose -2*v - 3*z + 107 = 0, v - 4*z = -q*z + 55. Is v prime?
False
Let s = -52 - -91. Suppose 9*u = -s + 390. Is ((-13)/u)/(1/(-117)) prime?
False
Let q = 83 + -77. Let o(u) = 2*u**2 - 6*u + 33. Let r be o(q). Suppose 4*c = -0*c - g + 361, c = 4*g + r. Is c a prime number?
True
Let y(v) = 902*v**2 - 7*v - 140. Let d be y(13). Suppose 16*w - d = -44511. Is w a prime number?
False
Suppose 5*u = 138 + 232. Is u a prime number?
False
Let u = 334111 - 220454. Is u a prime number?
True
Suppose -11*d + 7*d + 44 = 0. Let b = d + -11. Is (b - 1)*(-3494 + (-3 - -6)) prime?
True
Suppose 139*x = 45*x + 66*x + 1272796. Is x composite?
True
Suppose 1105*s = 1108*s - 119451. Is s a prime number?
False
Suppose -2*d + 3711 = -10441. Let t = d - 987. Is t a prime number?
True
Suppose -2*h = -19*h + 656863. Is h prime?
True
Is 33*9/33 - -543268 composite?
True
Suppose w = -3*q - 2990 + 52500, -5*w = 2*q - 247563. Is w composite?
True
Suppose 3*d - 7161 + 551 = -5*v, -1330 = -v + d. Let j = v + 564. Is j a composite number?
False
Let k = -353 - 129. Let q = -75 - k. Let j = q + -174. Is j a composite number?
False
Let c = 5 - -192. Let g = c - 83. Suppose -11*x + 17*x = g. Is x prime?
True
Let y = 1977843 - 954116. Is y composite?
True
Is (13 + (-189)/14)*-721082 prime?
True
Is (36 - 37) + 0 + 4510 + -2 a composite number?
False
Is (18 + 272/(-16))*(10032 - -1) a composite number?
True
Let x be 0/((-7)/(42/18)). Suppose x = -2*z + 550 + 2496. Is z a prime number?
True
Let y be 3 + (1 - 1)/(-2). Suppose y*p - 528 = p. Suppose -3*q + p = 3*w, -5*w = -5*q - 0*q + 410. Is q a composite number?
True
Let y(w) = 6243*w - 3818. Is y(43) a prime number?
True
Let c(h) = -h**3 - 39*h**2 - 50*h - 35. Let k be c(-30). Suppose 5*x + 26553 = 5*w + 78708, 52149 = -5*w + 3*x. Let p = k - w. Is p prime?
True
Suppose 3*m - 1427 = 5*q, q - 461 = -m - q. Suppose 4*r + 3*v = 1314, -v + m = 3*r - 514. Let l = -164 + r. Is l a composite number?
False
Let d(g) = g**2 - 23*g + 21. Let k be d(21). Is (-79578)/(-6)*(-7)/k a composite number?
False
Suppose 311*l + 11313391 = 332*l + 3061042. Is l composite?
False
Let g(i) = 74*i + 13. Let d(c) = -2. Let n(w) = 15*d(w) - 3*g(w). Is n(-15) composite?
True
Let r be (-5)/((-3)/(-3 + 6)). Let d(a) = -a**3 + 5*a**2 + a - 5. Let i be d(r). Suppose 4*j - 1599 - 2569 = i. Is j composite?
True
Let t = -8139 - -60148. Is t composite?
False
Let g = 1381699 + -194268. Is g prime?
False
Suppose 26*r = 29*r + 990. Let a be 2 + -3*2 + 2 + r. Is (a/(2 + -4))/((-20)/(-70)) composite?
True
Let f = -57982 - -98045. Is f composite?
False
Suppose -3*j = -k + 6, 0 = -5*k + j + 4*j + 30. Let x(b) = 447*b**2 - 5 - k*b - 27*b**2 - b. Is x(-2) a prime number?
False
Suppose 0 = -66*o + 70*o - 384. Suppose -h + 95 = -o. Is h a composite number?
False
Let m be (147/7 - -6)/((-3)/(-17132)). Suppose 69*p = 81*p - m. Is p a prime number?
False
Suppose 9 = 3*y + 5*z, -4*y + 3*y + 3*z = -17. Suppose -4*n - 19130 + 6976 = -5*c, -y = -2*n. Suppose -c = -j - j. Is j a prime number?
True
Let d(i) = -i**3 + 27*i**2 - 25*i - 3. Let b = -463 + 486. Is d(b) a prime number?
False
Let i(p) = 147*p**2 - 14*p + 66. Let d be i(15). Let y = d - 17860. Is y composite?
True
Let i(q) = 8*q**2 + 35*q + 252. Let l be i(-25). Let y = l - 1324. Is y prime?
False
Suppose -4 = o, 3*o - 11 = 2*m - 19. Let q be m - (-3 - (-2 - -3)). Suppose 0 = -12*j + q*j + 1910. Is j composite?
False
Suppose -31 = -2*j + 6*k - k, -2*j = 3*k + 9. Suppose z + j*i - 8612 = -3*z, i = 0. Is z composite?
False
Let i = -2472 - -9543. Suppose -3*r = t - i - 7275, 2*r - 9547 = 5*t. Is r a composite number?
True
Let p = 2804 - 1506. Suppose -p + 178 = -5*s + 5*m, 5*s - 1102 = -m. Let n = s - 118. Is n composite?
False
Suppose -1089011 + 85673 = -18*f. Is f composite?
True
Suppose 5 = -12*u + 11*u. Is 42/(-2)*((-7180)/(-12))/u composite?
True
Let g = 46192 - 24125. Is g composite?
False
Let w be 22659/7 - (7 + (2 - 5)). Let m = 5194 - w. Is m a prime number?
False
Suppose u = -3*l + 1028, 0 = -2*u + 14 - 16. Suppose 14*r - 15*r + 4*v = -l, 0 = -4*v + 12. Is r a prime number?
False
Let v(o) = 12141*o + 18. Let b be v(2). Let y = 37181 - b. Is y a composite number?
True
Let f(o) = o**2 + 11*o + 9. Let r = -40 - -33. Let w(p) = -3*p**2 - 22*p - 19. Let n(m) = r*f(m) - 4*w(m). Is n(12) a prime number?
False
Let y be (-2 - -2)/(-2 + (-10)/(-2)). Suppose -9*a + 14*a - 4*m - 3677 = y, 742 = a - 3*m. Is a composite?
False
Is (1/4)/(-21*25/(-1794405900)) prime?
True
Suppose -12*i - 8 = -8. Suppose -j + 19 + 650 = i. Is j a prime number?
False
Is (3772561 - -12)*3/21 a composite number?
False
Let k(c) = 8301*c + 2401. Is k(28) a prime number?
False
Let l = 37 + -32. Suppose -2*u + 3*u = b, -30 = -l*b - u. Suppose b*y + 4*f = 173, 3*f + 146 + 11 = 4*y. Is y a prime number?
True
Suppose -10*k + 16626019 = 9*k + 10*k. Is k a composite number?
True
Let a = 108 - 65. Suppose -49 = 4*n + a. Let z = 186 + n. Is z a prime number?
True
Suppose 3*h = 157 - 145, 147813 = d - h. Is d a prime number?
False
Suppose -4*m + 3*a + 9 = 0, -a - 7 = 27*m - 29*m. Suppose m*z = 38*z - 168544. Is z a prime number?
False
Let o = -152 + 279. Suppose o*s = 122*s + 5585. Is s a composite number?
False
Suppose 13*m = 393 + 127. Let t be (-2)/10 - 83352/m. Is (6/(-24))/(1/t) prime?
True
Suppose -4*n - n + 7132945 = -6*p, -4*n - 4*p + 5706312 = 0. Is n a composite number?
False
Suppose -3*j - 10813 = 6647. Let n = -2033 - j. Is n prime?
False
Suppose -211*m + 107*m - 20965994 = -118*m. Is m prime?
True
Let d = 27219 + 58618. Is d a prime number?
True
Suppose 2*x = 3*y + 407456, 611205 = -180*x + 183*x - y. Is x a prime number?
False
Let i(m) = -7*m - 16. Let f be i(-3). Suppose 2*n = -r + 11547, f*r - 38824 = 5*n + 18866. Is r a prime number?
False
Suppose c - 8 - 3 = -5*w, 0 = 5*w + 3*c - 3. Suppose -2*v - 2*v - 3*g = -17546, v - 4379 = w*g. Is v a prime number?
False
Suppose -406*s + 34003049 - 6255322 = -3094875. Is s composite?
False
Let x(n) = -34*n - 314. Let f be x(-11). Is -9582*((-8)/6 - (-70)/f) composite?
False
Let i = -11 + 14. Let p be (-8 - 16) + i + -2 + 2. Let v(l) = 2*l**2 + 19*l - 40. Is v(p) a prime number?
True
Is (-72)/(-39) + -2 - (-1163962445)/2171 a composite number?
False
Suppose 0 = 5*x - 3*d - 1445734, 2814*x - 4*d - 867447 = 2811*x. Is x a prime number?
False
Let o(d) = 161*d**2 - 377*d - 159. Is o(-46) composite?
False
Let w(q) = -q - 11. Let j be w(-14). Let z = j + 14. Is (z + -19)*(-1 + (-687)/2) a prime number?
False
Suppose 6*r + 510 = 3*r. Let y = 639 - r. Is y a composite number?
False
Suppose -10767983 = -253*p + 163811378. Is p composite?
False
Let j be (-2078736)/(-27) + 36/(-162). Suppose 22*o - 337712 = -j. Is o a composite number?
True
Let i(b) = 8601*b + 517. Let n(z) = 100*z + 6. Let c(p) = -6*i(p) + 517*n(p). Let f(o) = -o**3 - 7*o**2 - o - 6. Let y be f(-7). Is c(y) composite?
True
Suppose 3*p + 990 = -4*z, 0*z - 3*z - 5*p = 748. Let t = -105 - z. Is t a composite number?
True
Let l(a) = -2*a**3 - 45*a**2 - 15*a - 407. Is l(-50) composite?
True
Let n(l) | {
"pile_set_name": "DM Mathematics"
} |
ommon divisor of z and 14?
14
Let z = 43 + -31. Suppose d - z = -2*d. Suppose -56 = -5*c - 0*i - 2*i, 4*c = -4*i + 40. Calculate the highest common divisor of c and d.
4
Let q be (55/10 - 3)*10. Calculate the highest common divisor of q and 50.
25
Let r(p) = 6*p - 15. Let a be r(4). Suppose 5*b - 45 = 4*b. What is the highest common divisor of b and a?
9
Suppose -2*y - y + 30 = 5*t, 3*y - 27 = -4*t. Calculate the highest common divisor of t and 3.
3
Let s = 68 - 61. What is the highest common factor of 35 and s?
7
Let x(i) = i + 7. Let j be x(-4). Suppose 0 = 2*a - 1 - 5. Suppose -2*u + 0*y = a*y - 42, -74 = -3*u + y. What is the greatest common factor of u and j?
3
Let v be -2 + 6 - 2 - -4. Calculate the highest common divisor of 18 and v.
6
Let w = -18 + 52. Calculate the greatest common factor of 17 and w.
17
Suppose -2*d - 8 = 2*d. Let h be ((-9 - d)*14)/(-2). Let v be 2/9 - (-122)/18. Calculate the highest common factor of h and v.
7
Suppose 7*m = 2*m + 5*o + 40, 18 = 2*m - 3*o. Let v be -4*(-18)/15*5. Calculate the greatest common factor of v and m.
6
Suppose -20 - 20 = -5*b. What is the greatest common divisor of b and 24?
8
Let d(l) = -l + 2. Let n be d(-10). Suppose -2*y = 3*c - 42 - 4, c - 14 = -y. What is the greatest common divisor of n and c?
6
Suppose 0 = -5*t + 3*n + 765, 2*t - t + n = 145. Calculate the greatest common factor of t and 30.
30
Let h = 0 + 25. Suppose -h = -3*u - 7. Let j be (2 - 1)*7 + 2. Calculate the highest common divisor of u and j.
3
Suppose -5*o = -78 - 122. Let w(c) = 6 - 5*c**2 - 4 + c**3 + 3. Let h be w(5). What is the highest common factor of h and o?
5
Let h(n) = -n**3 - 7*n**2 - n + 2. Let a be h(-7). What is the highest common factor of 6 and a?
3
Let k = 20 + -8. Suppose 5*m - 2*m - k = 0. Let w(z) = 3*z**2 + 6*z - 1. Let y be w(-5). What is the greatest common factor of y and m?
4
Let m(j) = -j**3 - 5*j**2 + 8*j + 4. Let d be m(-6). Let h be ((-68)/3)/(d/12). Calculate the highest common divisor of 85 and h.
17
Suppose 4*i = -0*i + 2*g + 94, 0 = i + 2*g - 16. What is the highest common factor of i and 22?
22
Let b(n) = n**3 - n**2 + 3*n - 2. Let s be b(3). Suppose 0*h - h = -175. What is the greatest common factor of h and s?
25
Let h = 35 + -26. What is the highest common divisor of 1 and h?
1
Suppose 0 = u - 18 + 10. Let c be (((-144)/2)/1)/(-1). What is the greatest common divisor of u and c?
8
Suppose -19 = -5*z - 3*a, -a = -3*z - 7 + 24. What is the highest common divisor of 20 and z?
5
Let m(k) = k**3 + k + 245. Let a be m(0). Let c = -165 + a. What is the highest common divisor of 16 and c?
16
Suppose -5*q + 20 = -25. Calculate the highest common factor of q and 63.
9
Let n(x) = -x**2 + 11*x + 1. Let r be (2 - 5)/(3/(-10)). Let m be n(r). What is the greatest common divisor of 1 and m?
1
Let f be 3514/26 - (-10)/(-65). Calculate the greatest common factor of f and 54.
27
Let w(a) = a**2 - a + 5. Let x = -1 + 5. Let r be w(x). Let l = r - 7. What is the highest common divisor of 20 and l?
10
Let v = -7 + 12. Let m = 9 - v. Let l = 4 - 2. Calculate the highest common factor of l and m.
2
Let t be ((-10)/(-8) - 2)/((-1)/360). What is the highest common factor of 27 and t?
27
Let o(b) = 5*b**2 + b. Let u be o(-2). What is the highest common divisor of 27 and u?
9
Suppose -3*c + l + l = -48, -3*l = -3*c + 51. What is the greatest common divisor of 14 and c?
14
Let k be 2/(-4) - 141/(-2). Let j be -2*(-2)/(-4) - 8. Let i = j - -16. What is the highest common divisor of i and k?
7
Let d = -24 + 66. Suppose -3*c = c, -3*n = -c - d. Suppose -4*l + 2*y = -n, -2*l + 5*y - 7 = -6*l. What is the highest common factor of 21 and l?
3
Suppose 0 = -2*r - 5*q + 14, -2*r + 6*q - q + 54 = 0. What is the highest common divisor of r and 51?
17
Suppose -17 = -v + 10. Calculate the greatest common divisor of 3 and v.
3
Let z = 136 - 91. What is the highest common divisor of z and 5?
5
Suppose 0 = -5*q + 37 - 7. Let x(y) = -y**3 + 5*y**2 + 6*y + 6. Let p be x(q). What is the highest common divisor of 48 and p?
6
Let i = -3 - -6. Suppose 0 = 2*g - i*g + 8. Suppose -23 - 25 = -3*n. Calculate the greatest common divisor of g and n.
8
Suppose -5*m - 2*y + 2460 = 0, -m - m - 2*y = -978. Let p = m - 274. What is the greatest common divisor of 20 and p?
20
Suppose -5*t + 65 = 5*m, -5*m - 55 + 138 = -t. What is the greatest common factor of 24 and m?
8
Suppose 0 = -d + 2*q + 12, 2*q + 0 + 6 = -2*d. What is the highest common factor of 2 and d?
2
Let p(u) be the second derivative of u**4/12 - 5*u**3/6 + u**2 - 2*u. Let f be p(7). Let l = f - 4. What is the highest common divisor of l and 12?
12
Let b = -3 + 2. Let l be (-26 + 3/(-3))*b. Calculate the greatest common divisor of 9 and l.
9
Let z be (-20)/50 - 164/(-10). What is the greatest common factor of z and 4?
4
Let v = 2 - 0. Let w be (-2)/4 + 3/6. Let c = w + v. What is the highest common factor of c and 1?
1
Let l(d) = -d**3 - 7*d**2 + 11*d - 18. Let z be l(-9). What is the highest common divisor of 5 and z?
5
Let g be (-3)/((-2)/152*6). Let j = g - 23. What is the highest common factor of j and 135?
15
Let j(a) = 2*a + 28. Let v be j(-11). Calculate the highest common divisor of 54 and v.
6
Suppose -42*y + 40*y + 32 = 0. What is the greatest common divisor of 4 and y?
4
Suppose -3 = j - 4*j. Let g = 15 - 2. Let w = g + j. What is the greatest common divisor of w and 112?
14
Let m(d) = d**2 + 4*d - 3. Let z be m(-6). What is the greatest common factor of 63 and z?
9
Let t be 5/(1 - (-8)/(-12)). What is the greatest common divisor of 6 and t?
3
Suppose -2*r - 3*r = -55. Let a = 15 - 191. Let z be (a/40)/((-4)/10). What is the greatest common factor of r and z?
11
Let r(z) = 2*z**2 - 2*z - 4. Let n be r(-6). Suppose 1 - 11 = 2*h. Let g(j) = j**2 - j + 2. Let v be g(h). What is the greatest common divisor of n and v?
16
Let x(v) = -v + 8. Let c be 63/12 - (-2)/(-8). Let y be x(c). Suppose -3*p + y = -9. What is the greatest common divisor of p and 28?
4
Suppose -3*d + 5*w + 48 = 0, -6*w + w - 64 = -4*d. Let i(h) = -h**2 - 9*h + 4. Let z be i(-5). Let l = z - 8. What is the highest common divisor of l and d?
16
Let s = 178 + 144. What is the highest common divisor of 46 and s?
46
Let g = 127 - 115. What is the greatest common factor of 3 and g?
3
Suppose n + 3*i = -0*n - 12, 3*i = -15. Suppose -2*g - 2*o + 40 = 0, n*g - g - 5*o = 54. Calculate the highest common divisor of 242 and g.
22
Let i(v) = -v + 5. Let u(l) = l**2 + 2*l - 4. Let x be u(-4). Let j be i(x). Suppose -2*b = 3*b - 15. What is the highest common factor of b and j?
1
Let h = -7 - -4. Let v = 6 + h. What is the greatest common divisor of v and 15?
3
Let g be (-2981)/(-44) - (-2)/8. Calculate the highest common divisor of g and 34.
34
Suppose y - 94 = -22. Let h = 24 - 15. What is the greatest common factor of y and h?
9
Suppose 0 = 4*z + 2*c - 1330, -1327 = -4*z - 4*c - c. What is the highest common factor of 37 and z?
37
Let a(q) = 2*q + 4. Suppose 2*f + 5*x - 31 = 0, -3*x = 4*f - 13 - 14. Let j be a(f). Let v = 1 + j. Calculate the greatest common divisor of v and 121.
11
Let i be (1/2)/(2/4). Suppose -2*f + 4*f - 3*l - 5 = 0, 2*l - 10 = 0. Let y(c) = c + 1. Let p be y(f). What is the highest common divisor of p and i?
1
Let w be (-8)/44 + 312/22. Let f = 11 - 7. Suppose -4*q - f*u + 88 = 0, 3*u = 4*q - q - 60. What is the greatest common divisor of w and q?
7
Suppose -z - n = -4, -4*n - n + 5 = 2*z. Suppose -2*t = t + 5*x - 21, 0 = z*t - 5*x + 5. Calculate the highest common factor of 1 and t.
1
Let s be 21 + 273 - (-5)/1. What is the highest common divisor of s and 23?
23
Suppose -3*u + 4 = -u. Suppose -2*x - 3*x = -4*i - u, -2*x - i = -6. Calculate the highest common factor of 2 and x.
2
Suppose 2*p = 6*p - 12. Suppose 0 = -p*a - 2*a + 405. What is the highest common factor of a and 9?
9
Let t = -29 - -43. Suppose 2*h - 4*o - 180 = 0, 0 = h + 2*o - 41 - 65. What is the highest common divisor of t and h?
14
Let a be (9/6)/((-3)/(-32)). Suppose 3*x = -i + 11 + 7, 4*i = 4*x - 8. Suppose 0 = -4*w + x*w - 16. What is the highest common divisor of a and w?
16
Let s be (2/3)/(8/228). Let i = s + -8. What is the greatest common factor of i and 1?
1
Let r be (-2)/3 + 22/6. Let c = -4 - -6. Let h be ((-6)/ | {
"pile_set_name": "DM Mathematics"
} |
ne j(b(o)).
102434*o
Let q(i) be the third derivative of i**6/240 - 3*i**4/8 + 6*i**2. Let u(t) be the second derivative of q(t). Let n(j) = 3*j. Calculate u(n(p)).
9*p
Let h(j) be the first derivative of j**5/30 + 13*j**3/3 - 1. Let m(u) be the third derivative of h(u). Let p(t) = -5*t**2. Give p(m(v)).
-80*v**2
Let t(d) = 7*d**2. Let w be 90*1 + (2 - -2). Let i(c) = w + 4*c - 94. What is i(t(g))?
28*g**2
Let o(m) = 3*m - 545. Let n(p) = 8*p**2. Calculate n(o(i)).
72*i**2 - 26160*i + 2376200
Let k(g) = 53*g**2 - 48*g**2 - 25 + 23. Let n(i) = 2*i. What is n(k(m))?
10*m**2 - 4
Let d(h) = -5*h**2. Let s(k) = 14296*k. Calculate s(d(b)).
-71480*b**2
Let r(q) = 19*q + 8. Let y(a) = 145*a - 49*a - 48*a + 2*a**2 - 48*a. Give r(y(n)).
38*n**2 + 8
Let k(r) = 4*r. Let z(f) = -11*f + 12. Let y(h) = -h + 2. Let t(c) = 8*y(c) - z(c). What is t(k(p))?
12*p + 4
Let i(q) = 26241*q**2 + 3. Let c(a) = -3*a**2. Determine i(c(t)).
236169*t**4 + 3
Let y(p) = -76802*p + 15. Let g(s) = s**2. Determine y(g(t)).
-76802*t**2 + 15
Let o(x) = -294*x**2 + 94*x**2 + 94*x**2 + 104*x**2. Let l(m) = 65*m + 9. Let i(v) = 98*v + 13. Let k(p) = 5*i(p) - 7*l(p). Calculate k(o(n)).
-70*n**2 + 2
Let l(s) = 8*s**2 - 31*s. Let y(q) = q + 939. Determine l(y(x)).
8*x**2 + 14993*x + 7024659
Let s(c) = 46695*c + 1. Let n(a) = -a**2. Give s(n(d)).
-46695*d**2 + 1
Let k(w) = -17335*w - 7. Let v(p) = p. Calculate k(v(l)).
-17335*l - 7
Let q(j) = 2*j. Let t(w) = 2*w - 2. Suppose -x = -2 + 4, -4*c + 2 = 3*x. Let r(a) = 6*a - 7. Let f(d) = c*r(d) - 7*t(d). Determine f(q(h)).
-4*h
Let n(q) = q. Let p(y) be the first derivative of -3*y**2 + 5 + 2*y**2 + 3*y - 2*y**2. Let o(a) = -a + 1. Let r(l) = 3*o(l) - p(l). Give r(n(x)).
3*x
Let j(d) = -d**2 - d - 1. Let h(i) = 4*i**2 + 5*i + 5. Let q(l) = -h(l) - 5*j(l). Let z(b) be the third derivative of -b**4/8 - 2*b**2 - 36*b. What is z(q(y))?
-3*y**2
Let q(y) = -y**2 + 9*y - 8. Let t be q(7). Let z(b) = 18*b**2 - 39*b. Let r(m) = m**2 - 2*m. Let o(f) = t*z(f) - 117*r(f). Let n(w) = w**2. Determine o(n(d)).
-9*d**4
Let a(j) be the third derivative of 11*j**4/24 - 3*j**2. Let t(i) be the first derivative of i**3/3 - 26. Calculate t(a(u)).
121*u**2
Let p(g) = 2*g**2. Let o(t) = -45795*t. What is o(p(s))?
-91590*s**2
Let n(r) = 0*r - r + 5*r - 2*r. Let q(c) = 4*c. Determine q(n(v)).
8*v
Let k(y) = y - 1. Let t(h) = -8*h + 7. Let z(p) = 28*k(p) + 4*t(p). Let x be (3/2)/((-9)/(-42)). Let d(g) = 0*g**2 - 11*g**2 + x*g**2 + 7*g**2. What is z(d(j))?
-12*j**2
Let z(g) be the second derivative of g**6/120 + g**3/2 + 10*g. Let h(m) be the second derivative of z(m). Let s(v) = -v**2 + 3*v**2 - 4*v**2. Give h(s(q)).
12*q**4
Let u(m) = -7*m. Suppose -q - 5 - 3 = -2*o, 5*o + 3*q - 42 = 0. Let i(v) = 6*v - o*v - 2*v + 3*v. Determine u(i(x)).
-7*x
Let m = -128 - -162. Let s(i) = -m*i**2 + 23*i**2 + 20*i**2. Let g(p) = -8*p**2. What is g(s(q))?
-648*q**4
Let d(x) = -x**2 + 2*x**2 + 0*x**2 + 13 - 13*x. Let i(t) = t**2 - 6*t + 6. Let l(v) = -6*d(v) + 13*i(v). Let f(m) = -2*m. Calculate f(l(y)).
-14*y**2
Let d(t) = -t**2 + 9*t + 3. Let n be d(9). Let z(f) = n*f - 5*f - 5*f + 2*f. Let i(y) be the second derivative of y**3/6 + 3*y. What is i(z(r))?
-5*r
Let q(s) = -9*s**2 + 4*s - 4. Let f(j) = 425*j**2 - 187*j + 187. Let i(x) = -4*f(x) - 187*q(x). Let d(b) = -6*b**2. Determine i(d(o)).
-612*o**4
Let c(x) = -5*x. Let i(h) = 11*h + 0 - 1 - 25*h. Let b(d) = -8*c(d) + 3*i(d). Let a(y) = -y - 1. Let o(t) = 3*a(t) - b(t). Let q(w) = w. Calculate o(q(p)).
-p
Let i = 59 + -42. Let p(z) = -i*z - 12*z + 30*z. Let x(j) = -3*j. What is x(p(r))?
-3*r
Let m(d) be the third derivative of 2*d**4/3 - d**3/2 - 4*d**2 + 22*d. Let g(c) = -2*c**2. Determine m(g(t)).
-32*t**2 - 3
Suppose -9*g = -4*g - 10. Let i(m) = 3 + 4*m**2 + 3*m**2 - 4 + g*m**2. Let w(o) = -o. What is w(i(k))?
-9*k**2 + 1
Let s(y) be the first derivative of -19*y**2/2 + 44. Suppose -2*z = -7*z. Let b(u) = z*u - 3*u + 4*u. Calculate b(s(c)).
-19*c
Let k(i) be the first derivative of i**2/2 - 581. Let c(a) = 3*a + 3*a - a. Give c(k(z)).
5*z
Let g(b) = 65 - 14 + 15*b**2 - 51. Let p(m) be the second derivative of -m**3/3 - 2*m. What is p(g(w))?
-30*w**2
Let f(o) = -86655*o. Let n(t) = t. Determine n(f(r)).
-86655*r
Let y(i) = 1. Let v(k) = 2*k + 6. Let c(z) = v(z) - 6*y(z). Let s(u) = 49*u. Calculate s(c(d)).
98*d
Let g be 8 + 4 + -5 - (1 + -1). Let j(k) = -22*k + 9*k + 5*k + g*k. Let v(y) = -23*y**2 + 2*y. Give j(v(w)).
23*w**2 - 2*w
Let n(x) be the first derivative of -x**3/3 + 1. Suppose 0 = 4*f - 9*f + 35. Let m(h) = 9 - f*h - 9. Calculate n(m(o)).
-49*o**2
Let r(h) = h - 5. Let m be r(5). Suppose 0 = -m*p + 5*p. Let w(j) = p + 10*j**2 + 0 - 7*j**2. Let n(b) = b. What is n(w(k))?
3*k**2
Let w(v) = 3*v. Let j(x) = -55443*x. Give w(j(r)).
-166329*r
Let g(p) = p + 4. Let x(r) be the second derivative of r**3/6 + 3*r**2/2 + 13*r. Let n(m) = 3*g(m) - 4*x(m). Let s(y) = -19*y**2. Calculate n(s(a)).
19*a**2
Let z(m) = 5*m**2 + 6. Let v(o) = -11*o**2 - 13. Let s(n) = -6*v(n) - 13*z(n). Let i(h) = -2*h**2 - 4. Determine s(i(t)).
4*t**4 + 16*t**2 + 16
Let f(a) be the first derivative of a**2 + 1. Let w(m) be the first derivative of 0*m + 37 + 5/2*m**2. Give f(w(d)).
10*d
Let j(t) = -69*t**2. Let k(s) = s**2 - 3. Let w(f) = -2*f**2 + 4. Let u(d) = 4*k(d) + 3*w(d). Calculate u(j(a)).
-9522*a**4
Let b(x) = 2*x + 7. Let u(v) = 469*v. Give u(b(d)).
938*d + 3283
Let f(g) = -5*g. Let w(h) = -97*h + 5 + 194*h - 94*h - 5. Calculate f(w(i)).
-15*i
Let f(g) = g**2 - 16. Let c(l) = 141*l**2 + l. Give c(f(q)).
141*q**4 - 4511*q**2 + 36080
Let n(c) = c. Let g(o) = -7*o**2 + 224*o + 5. What is g(n(i))?
-7*i**2 + 224*i + 5
Let x(q) = -6*q. Let c(w) = -4*w - 4. Let k(l) = -8*l - 9. Let b(j) = 9*c(j) - 4*k(j). Determine b(x(m)).
24*m
Let g(a) = -4*a + 119. Let d(b) = -34*b. Determine g(d(v)).
136*v + 119
Let i(a) be the third derivative of a**4/12 + 3*a**2. Let w(p) = -4*p + 11*p + p + 7*p + 3*p. Determine w(i(l)).
36*l
Let z(r) = -5*r. Let w(p) = 158655*p. Determine w(z(d)).
-793275*d
Let p(x) = -18*x**2. Let k(n) be the second derivative of 2*n**4/3 - 123*n. Give p(k(r)).
-1152*r**4
Let n(v) = 7*v**2. Let f(c) = -778*c. Calculate n(f(u)).
4236988*u**2
Let m be (-12)/(-20)*(6 - 1). Let k(j) = m*j - 2*j + 3*j - 2*j. Let p(z) = 30*z - 25. Let o(x) = 5*x - 4. Let d(a) = 25*o(a) - 4*p(a). Calculate d(k(t)).
10*t
Let b(g) = -2*g + 258. Let p(v) = -7*v**2 + 4. Calculate b(p(l)).
14*l**2 + 250
Let t(l) = 5*l**2. Let k(q) = q - 3. Let y be k(12). Suppose -3*n = f - 2, -y = 5*n - 5*f + 1. Let h(g) = -g - 2 + 2 + n. What is h(t(p))?
-5*p**2
Let w(i) be the second derivative of 0 + 0*i**2 + 1/6*i**3 + 6*i. Let r(d) be the first derivative of 5*d**2 - 3. Calculate w(r(h)).
10*h
Let r(x) = 661981*x**2. Let f(v) = 2*v. What is f(r(t))?
1323962*t**2
Let i(w) be the first derivative of w**6/72 + w**3/3 + 4. Let g(c) be the third derivative of i(c). Let v(k) = -4*k + 4*k + 3*k**2 + 0*k. What is v(g(q))?
75*q**4
Let p(h) = -h. Let j(x) = 76*x - 15*x - 15*x. Calculate p(j(b)).
-46*b
Suppose 0 = -k + 3 + 2. Let l(d) = -2*d - 2. Let o(m) = -4*m - 5. Let h(u) = k*l(u) - 2*o(u). Let b(x) = -4*x + x - 4*x. Determine h(b(f)).
14*f
Let o(g) = -841*g**2. Let u(a) = -44*a**2. What is o(u(q))?
-1628176*q**4
Let k(w) = -5*w - 6. Let u(t) = -t - 2. Let b(c) = -k(c) + 3*u(c). Let a(j) = -32*j. Give b(a(s)).
-64*s
Let q(u) = 69*u. Let p(f) = 4073*f**2. Calculate p(q(k)).
19391553*k**2
Let o(s) be the second derivative of 0*s**2 - s + 0 + 1/3*s**3. Let n(b) = -16*b**2 + 79429 - 39711 - 39718. What is o(n(r))?
-32*r**2
Suppose 0 = 10*z - 11*z + 3. Let t(m) = z*m + 0*m - 9*m. Let j(y) = 4*y**2. Determine j(t(u)).
144*u**2
Let l(u) = 3*u. Let z be 40/10 - (20 - 1). Let w be (46/10)/((-3)/z). Let v(r) = -w - 5*r + 23. What is v(l(f))?
-15*f
Let t(a) = -7*a + 3167. Let v(x) = 2*x**2. Calculate t(v(k)).
-14*k**2 + 3167
Let g(u) = -3*u**2. Let l(f) be the third derivative of 7*f**4/4 + f**3/6 - 266*f**2. Give g(l(c)).
-5292*c**2 - 252*c - 3
Let t(l) = -395*l**2 + 14*l - 1. Let f(s) = -13*s. Determine t(f(c)).
-66755*c**2 - 182*c - 1
Let u(v) = -18*v. Let k(b) be the third derivative of 11*b**4/24 + 2*b**2 + 12. Give u(k(d)).
-198*d
Let g(v) be the third derivative of -v**6/80 - v**4/3 - 1 | {
"pile_set_name": "DM Mathematics"
} |
rrrrjrrrrjrrr?
55/78
What is prob of picking 1 b, 1 j, and 1 x when three letters picked without replacement from {z: 1, x: 1, b: 3, m: 4, j: 1, r: 4}?
3/364
What is prob of picking 1 v and 3 n when four letters picked without replacement from {n: 15, v: 5}?
455/969
Four letters picked without replacement from ecaecauhaca. Give prob of picking 1 e, 2 c, and 1 h.
1/55
Calculate prob of picking 2 x when two letters picked without replacement from mamxaaamaxmamxamma.
1/51
What is prob of picking 1 z and 1 g when two letters picked without replacement from {z: 1, a: 2, g: 1}?
1/6
Two letters picked without replacement from rvvrk. What is prob of picking 1 v and 1 k?
1/5
Two letters picked without replacement from dqdqqnnccdncn. Give prob of picking 1 n and 1 d.
2/13
Three letters picked without replacement from {r: 3, l: 1}. What is prob of picking 3 r?
1/4
What is prob of picking 2 l when two letters picked without replacement from {l: 6}?
1
Two letters picked without replacement from ddddddddeddeedd. Give prob of picking 2 e.
1/35
What is prob of picking 2 h and 2 g when four letters picked without replacement from {h: 3, g: 2}?
3/5
Calculate prob of picking 2 h, 1 j, and 1 s when four letters picked without replacement from hlhjsjly.
1/35
What is prob of picking 1 r and 1 i when two letters picked without replacement from jrjjrrrxrxxjxjirj?
3/68
What is prob of picking 1 v and 1 l when two letters picked without replacement from yvxldva?
2/21
Four letters picked without replacement from qqpqpqqqppqqqq. What is prob of picking 1 q and 3 p?
40/1001
Calculate prob of picking 2 h and 1 s when three letters picked without replacement from {m: 4, h: 2, s: 2, i: 1}.
1/42
Two letters picked without replacement from {q: 2, a: 4, s: 3, n: 6}. Give prob of picking 2 s.
1/35
Four letters picked without replacement from gggrggrrgrrrgrggggg. Give prob of picking 3 r and 1 g.
35/323
What is prob of picking 1 x, 1 d, and 1 n when three letters picked without replacement from gnndnddhdnxd?
1/11
Three letters picked without replacement from bxtejyy. What is prob of picking 1 x, 1 y, and 1 j?
2/35
Calculate prob of picking 1 w and 1 l when two letters picked without replacement from ctcccctlcgtcgwcclg.
2/153
Two letters picked without replacement from ovooaxa. Give prob of picking 2 o.
1/7
Four letters picked without replacement from dzzzzzdzzzdzzzzzzz. Give prob of picking 3 z and 1 d.
91/204
Calculate prob of picking 4 h when four letters picked without replacement from hhhhh.
1
Calculate prob of picking 3 w when three letters picked without replacement from {w: 7}.
1
Calculate prob of picking 2 a when two letters picked without replacement from {h: 8, a: 2, q: 2}.
1/66
Two letters picked without replacement from {b: 2, u: 7}. Give prob of picking 2 b.
1/36
Calculate prob of picking 1 w and 1 o when two letters picked without replacement from wwwwowowwwwowwwwww.
5/17
Two letters picked without replacement from {d: 1, b: 3, m: 5, r: 2, a: 1}. What is prob of picking 1 r and 1 b?
1/11
What is prob of picking 1 e and 1 l when two letters picked without replacement from {h: 6, l: 2, e: 8, r: 2}?
16/153
Calculate prob of picking 1 z and 1 l when two letters picked without replacement from pludizuululdud.
3/91
What is prob of picking 1 a, 1 i, and 1 d when three letters picked without replacement from {a: 4, d: 2, i: 1, v: 2, g: 1, q: 7}?
1/85
Calculate prob of picking 1 z and 2 g when three letters picked without replacement from {y: 6, g: 7, z: 2}.
6/65
Three letters picked without replacement from tutttu. Give prob of picking 2 u and 1 t.
1/5
What is prob of picking 2 d and 2 v when four letters picked without replacement from vvdvd?
3/5
Three letters picked without replacement from {c: 2, z: 1, e: 3, x: 1, y: 7}. Give prob of picking 1 e, 1 x, and 1 z.
3/364
Two letters picked without replacement from {y: 7, u: 5}. What is prob of picking 1 u and 1 y?
35/66
Calculate prob of picking 2 r when two letters picked without replacement from qqrrrrq.
2/7
What is prob of picking 1 r, 1 d, 1 n, and 1 x when four letters picked without replacement from rwxnrxrwnjxxjrrxdxxn?
7/323
Four letters picked without replacement from yyyyyy. Give prob of picking 4 y.
1
Four letters picked without replacement from ffpeppfpfpcpc. What is prob of picking 1 e, 1 f, and 2 p?
12/143
Calculate prob of picking 1 e, 1 d, and 2 u when four letters picked without replacement from {n: 1, u: 9, d: 3, e: 6}.
54/323
Four letters picked without replacement from ehenhhetnteethutu. What is prob of picking 1 n, 2 t, and 1 u?
6/595
Four letters picked without replacement from {d: 9, b: 4, h: 4}. Give prob of picking 4 h.
1/2380
Two letters picked without replacement from {m: 2, r: 2, w: 4, d: 1}. Give prob of picking 1 w and 1 d.
1/9
Calculate prob of picking 4 p when four letters picked without replacement from {p: 4, x: 4, f: 2}.
1/210
Two letters picked without replacement from {s: 1, r: 4, y: 1, m: 1, q: 3, n: 6}. What is prob of picking 1 q and 1 s?
1/40
What is prob of picking 2 g, 1 s, and 1 o when four letters picked without replacement from lgpppooplpsgptpoll?
1/1020
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {o: 4, v: 5, t: 3}.
2/11
What is prob of picking 2 d when two letters picked without replacement from pdpppppppppppdpppp?
1/153
Calculate prob of picking 2 e, 1 k, and 1 v when four letters picked without replacement from {u: 1, k: 8, b: 3, v: 1, e: 4}.
12/595
Three letters picked without replacement from pwpgwpgpggw. What is prob of picking 3 p?
4/165
What is prob of picking 2 n and 1 b when three letters picked without replacement from nbbnbqbqnqnnbqnn?
3/16
Two letters picked without replacement from kkqkkqqkkq. What is prob of picking 2 q?
2/15
Four letters picked without replacement from dsbsbbdbsbbbbbb. Give prob of picking 2 b and 2 d.
3/91
Three letters picked without replacement from {a: 8, i: 2, v: 1, d: 6, x: 1}. Give prob of picking 3 a.
7/102
Calculate prob of picking 1 e and 1 k when two letters picked without replacement from kkgjeejssfkgeek.
16/105
Two letters picked without replacement from hkukckkbu. What is prob of picking 2 k?
1/6
Calculate prob of picking 1 q, 1 o, and 1 y when three letters picked without replacement from {l: 6, o: 4, y: 1, q: 7, e: 2}.
7/285
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {l: 6, x: 2}.
3/7
Four letters picked without replacement from {d: 6, k: 6}. Give prob of picking 3 d and 1 k.
8/33
Four letters picked without replacement from {l: 9, j: 5}. What is prob of picking 2 l and 2 j?
360/1001
Two letters picked without replacement from {m: 2, u: 2, n: 3, b: 4, z: 1}. Give prob of picking 1 m and 1 b.
4/33
Three letters picked without replacement from euubb. Give prob of picking 1 b and 2 u.
1/5
Calculate prob of picking 1 o, 2 q, and 1 c when four letters picked without replacement from yqqcbabqqaoobya.
4/455
Two letters picked without replacement from squssqzsuiq. What is prob of picking 2 s?
6/55
Two letters picked without replacement from pnnprewknep. What is prob of picking 1 n and 1 p?
9/55
Calculate prob of picking 2 j and 1 a when three letters picked without replacement from {p: 2, j: 2, a: 4, s: 4}.
1/55
Calculate prob of picking 2 k and 1 w when three letters picked without replacement from {w: 4, b: 3, n: 1, j: 1, k: 2}.
4/165
Three letters picked without replacement from vvzvudvvuzvvdvh. What is prob of picking 1 u, 1 h, and 1 d?
4/455
What is prob of picking 1 o and 1 l when two letters picked without replacement from {k: 2, h: 1, o: 3, p: 3, z: 3, l: 1}?
1/26
Two letters picked without replacement from kgggkygnykiggdk. Give prob of picking 1 i and 1 y.
2/105
Four letters picked without replacement from ffifffrffrirffffri. What is prob of picking 4 f?
11/102
Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {u: 1, n: 2, m: 1, w: 1, b: 2, c: 1}.
1/14
Two letters picked without replacement from yfrjf. What is prob of picking 1 y and 1 r?
1/10
What is prob of picking 1 e and 1 a when two letters picked without replacement from ueazree?
1/7
Two letters picked without replacement from aaakpppa. What is pr | {
"pile_set_name": "DM Mathematics"
} |
?
-2
Let y = -5250 + 5249. What is the biggest value in -40, 0.4, 0.12, y?
0.4
Let y = -294.11 - 4.89. Let f = -312 - y. Suppose n - 2*k = -4, 0*n + 6 = n + 3*k. Which is the third biggest value? (a) 1 (b) f (c) n
b
Let u = 0.2686 - 0.0176. Let f = -0.251 + u. Which is the fourth biggest value? (a) -9 (b) 0.01 (c) 3 (d) f
a
Let o = -57.37 + 57. Let l = 0.022 + 0.848. Let r = o + l. What is the third biggest value in 1/4, r, 0, -4?
0
Let y = -308.9 - -307.9. What is the second smallest value in y, -207, 3?
y
Let l be (-7 + 1)*(-170)/(-1020) + 10. Suppose 0 = -0*w + 4*w - 8. Which is the third smallest value? (a) 3 (b) w (c) l
c
Let i = 98993 - 98999. Let f = 103/3 + -34. Which is the second biggest value? (a) f (b) i (c) 0.1
c
Let i = 58 - 62.55. Let k = -4.46 - i. Which is the fourth biggest value? (a) k (b) 1/2 (c) -10/7 (d) -0.1
c
Let z = 2929 - 2928.7. What is the second biggest value in 152, -1, z?
z
Let d = 120.93 - 120.93. What is the fourth smallest value in d, 5/14, -0.1, 2?
2
Let t = -518 - -508. Let m = 29 + 5. Let k = m + -34. What is the third biggest value in k, -0.5, -0.2, t?
-0.5
Let r = 476.442 - -18.558. Which is the third biggest value? (a) 1/3 (b) r (c) -5
c
Suppose -75*p - 32 = -91*p. Let z be -1*(36/30)/((-6)/(-20)). Which is the fourth smallest value? (a) -5 (b) z (c) 1/7 (d) p
d
Suppose 0 = i - 8 - 0. Let o(l) = 2*l - 14. Let j be o(i). Suppose h + 0 = j. Which is the fourth biggest value? (a) h (b) -3/5 (c) 4/5 (d) 0.1
b
Let h = 0.04 + -2.94. Let o = 14 - 16.5. Let m = o - h. What is the second smallest value in 1/5, -1/5, m?
1/5
Let x = 13.99 - 14. Let l = x - 0.043. Let w = l + -2.947. Which is the second smallest value? (a) 3 (b) 0.1 (c) 1 (d) w
b
Suppose 0 = -5*h - 15, -3*h = 2*o - 6*h - 7. Let x = -797.3 + 796.8. Which is the biggest value? (a) x (b) o (c) 2/11
c
Let y = -10454 + 10456. What is the second smallest value in 2/469, y, 5?
y
Suppose -103*r = -102*r + 14. Let l = -2.988 - 0.012. Which is the third biggest value? (a) l (b) r (c) -1
b
Let a = -4.89 - 0.51. Let s = -369 - -374. Let b = s + a. What is the third smallest value in 4, -1, -2/7, b?
-2/7
Suppose 0 = -0*y + 3*y - 15. Let o = 524 - 523.92. What is the third biggest value in y, o, 2/11?
o
Let d = -2320 - -2318. What is the second biggest value in 2, d, 20, -0.6?
2
Let q = -114.06 + 114.1. Let i = -288 + 2307/8. Let u = 9.7 + -10. Which is the second biggest value? (a) u (b) i (c) q
c
Let p = -0.25272 - 2.74728. What is the third smallest value in p, -1/4, -0.11, 5, -1?
-1/4
Let j = -23 + 1. Let i = 23 + j. Let o = 910/3 - 304. Which is the second smallest value? (a) 5 (b) i (c) o
b
Let w = -4.996 - -5. Let v = -0.0761 + 0.1801. Let j = w - v. Which is the fourth smallest value? (a) 0.5 (b) j (c) -0.08 (d) -2/9
a
Let j = -0.31 - 0.06. Let g = 0.37 + j. Let f = -241 + 243. What is the third smallest value in g, 2/13, f, 1/2?
1/2
Let l = 16.15 - 0.15. Let j(k) = 12*k - 66. Let o be j(7). Let d be 2/20*o/(-3). Which is the second biggest value? (a) l (b) 3 (c) d
b
Let r(q) = -45*q + 37. Let f(l) = 11*l - 9. Let a(h) = 9*f(h) + 2*r(h). Let y be a(-5). What is the biggest value in -2, y, -0.2?
-0.2
Let h = -117.0237 - -117. Let q = h + 0.4237. Which is the third biggest value? (a) 45 (b) -2/7 (c) q
b
Let o = 134.05 - 134.1. Let k = -1.3 + 2.3. Which is the third smallest value? (a) -5 (b) o (c) k (d) -4
b
Let q = -182/3 - -62. Suppose 43*p = 32*p + 77. Let g be 82/48*4 - p. What is the fourth smallest value in 4, g, q, -1/2?
4
Let o = 3216 + -3220. What is the third smallest value in -0.4, 5, o, 4, 6?
4
Suppose -46*k + 33*k = 30 + 35. Which is the third biggest value? (a) -0.5 (b) -0.3 (c) k (d) -73 (e) -0.4
a
Let n be 3/(-216)*1254/(-8). Let k = 5/32 + n. What is the second biggest value in k, 0.4, -2/7?
0.4
Let n = -8041 + 8043. What is the third smallest value in -2/7, -0.61, 0.09, n, 5?
0.09
Let t = 13740.9 + -13741. What is the fifth biggest value in -1/11, 17, t, -1, 0.7?
-1
Let j = 185.6 - 160. Let r = j - -3.4. Let n = 24 - r. Which is the smallest value? (a) n (b) -3 (c) -11
c
Let w = -6.11 + -0.89. Let y = -73.5 + 73. What is the third smallest value in w, y, 2, 5?
2
Let u = -1.26 - 78.74. Let i = -82 - u. What is the biggest value in i, -4, 0.09?
0.09
Let v = -66 + 87. Let w = v - 20. Let o = 222 + -221.8. Which is the smallest value? (a) 8 (b) o (c) w
b
Let u = 23291/8 + -2911. Which is the biggest value? (a) 2/11 (b) 0.3 (c) u (d) 17
d
Let l = -136 + 134. Let u = -22.311 - -22.2. Let p = 1.889 - u. Which is the second biggest value? (a) -4 (b) l (c) 0 (d) p
c
Let x be ((-9)/(-16)*(-5 - (-34)/6))/(-3). Let r = -4 - -3. Let v = -0.56 - -0.06. Which is the third biggest value? (a) v (b) x (c) r
c
Let n = -9508/66677 - -48/299. What is the smallest value in -5, 0.4, n?
-5
Let b = -0.9029 + -12.0971. What is the second smallest value in 7, -6, -3, b?
-6
Let z = -22.8673 + -0.0327. Let c = 2.9 + z. Let m = -22 - c. What is the second smallest value in m, 0.04, 2/5, -0.3?
-0.3
Let p be 11880/(-2412) - (-1 - 4). Let i = -221/268 + p. What is the second biggest value in -2, -0.3, i, -19?
i
Let p = -1 - -0.5. Let m be -18 + 53/3 - 2/(-10). Let g = -13 + 18. Which is the third smallest value? (a) m (b) p (c) -0.3 (d) g
a
Let u = -2510 - -10041/4. What is the smallest value in 1/108, 3/4, u?
1/108
Suppose -27*q = -43*q + 80. Let j be (4 - 8 - 0) + 9. Suppose 5*o = j*s, -2*s = 2*o - q*o - 5. What is the biggest value in 5, s, 0.4?
5
Let p = -29530 - -147647/5. What is the second biggest value in 114, 8, p?
8
Let z(x) = -2*x**2 + 9*x - 6. Let n be z(3). Let y = 1069 - 1224. What is the smallest value in n, y, -1/3?
y
Let k = -45.36 + 44.76. What is the fifth smallest value in 5/6, 0.8, 4, k, 3/5?
4
Let t = 0.467 - -0.533. What is the fifth biggest value in 0.5, -16, 10/13, 0.4, t?
-16
Let n be ((-16)/(-252))/(10/3). Let h = n - -46/35. Let s = -52832 - -52837. Which is the biggest value? (a) -2 (b) h (c) s
c
Let w = -11.379 - -10.879. Which is the fifth biggest value? (a) 2 (b) -7/6 (c) -0.3 (d) w (e) -0.1
b
Let o = -2015 + 2008. Which is the second biggest value? (a) -5 (b) 4 (c) o
a
Let v = -3.283 + 0.023. Let k = v - -3.76. Which is the third biggest value? (a) 0.3 (b) k (c) 68
a
Suppose 2*h - 3*l = 18, -39*h - 5*l - 5 = -34*h. What is the smallest value in h, 2, -48?
-48
Let p(j) = 3*j + 7. Let d be p(5). Let x = -121999 + 121998.9. What is the third smallest value in -0.5, x, d?
d
Let g be 1/(6/4 + -1). Let r = 179/284 - 787/1136. Which is the smallest value? (a) -5 (b) 2/9 (c) g (d) r
a
Let a = 3.272 - 12.272. What is the fourth smallest value in -0.4, -2, -1/6, a, 0?
-1/6
Let n = -41/182 + 1/14. Let g = 406/17 - 24. Which is the biggest value? (a) n (b) g (c) -3 (d) 70
d
Let d = -0.7 + -0.3. Let r = -46.2 + 45.8. Let o be (84/20 - 4)/(8/50). What is the third biggest value in r, o, d?
d
Let h = 14.381 - -69.619. Which is the third biggest value? (a) -0.5 (b) h (c) -1/4
a
Let r = 559/3642 - -8/607. Which is the third biggest value? (a) r (b) -35/4 (c) -21 (d) -1 (e) -1/3
d
Let w be -3 + -2 + 12/(48/20). Let r = -12.1 + 12. Which is the fourth biggest value? (a) r (b) 1/2 (c) w (d) 1/5
a
Let s = -99 - -104. Let t = -39 - -34. Let p = 3.7 - 4. What is the second biggest value in s, t, p?
p
Suppose -4*m - r = 12, -7*m + 5*r + 30 = -12*m. What is the third smallest value in 20, -3/10, m?
20
Let v = 41 - 24. Let d be (v/51)/(2/6). Suppose 4*r = -j + 4 + 1, -j + 5 = 0. What is the fourth biggest value in 0.5, r, -5, d?
-5
Let h = -6237 - -6237.2. Which is the third smallest value? (a) 4 (b) 5 (c) 4/13 (d) h
a
Let q = -5.7536 + -0.0664. Let f = 2.82 + q. What is the third biggest value in -2, f, 4, 2?
-2
Let v = 321 - 330. Let w be 1/(-3)*v/6. Let f = -2.3 + -0.7. Which is the third biggest value? (a) w (b) f (c) 19
b
Let u(w) = -7*w + 20*w - 7 - 13*w - 3*w. Let p be u(-1). Which is the second biggest value? (a) 3 (b) 0 (c) p
b
Let p = 2.8 + -3. Let u = 0.7577 + -0.8377. Let w = 0.14 - -2.86. What is the fourth biggest value in p, w, 0, u?
p
Suppose -41 = -9*s + 5*s - 37. Let f = 0.5 - 0.78. Which is the biggest value? (a) 0 | {
"pile_set_name": "DM Mathematics"
} |
98. Which is smaller: -253/17 or d?
d
Suppose -3*q + 988 = 3*r + 1471, -21 = 3*r. Let g = -65335/426 - 28/213. Is q < g?
True
Let a be (2265/50)/(39/65). Which is smaller: 76 or a?
a
Let k = 4 + -2. Let t(s) = -6*s**2 + 22*s + 7. Let o be t(4). Let j be k/(-10) + 176/130 + o. Which is smaller: j or 1?
j
Let v = 46.9 + 19. Let z = -179 - -113. Let p = z + v. Which is smaller: -0.45 or p?
-0.45
Let k be 1/(0 + 2/(-94)). Let g = 294 + -247. Let x = k + g. Do x and 0 have the same value?
True
Let l(i) = i**2 - 3*i - 284. Let c be l(0). Let r be (-4)/((-836)/c - 3). Is r at least as big as 71?
True
Let b = 2 - 5. Let r = 151 - 139. Suppose -r*h + 14*h + 4 = 0. Which is bigger: b or h?
h
Suppose t = 5, -4166*p + 25 = -4162*p + 5*t. Is -2754 > p?
False
Suppose 7*j + 105 = 4*j. Suppose 0 = -15*l + 10*l - 150. Let i = j - l. Is -3 > i?
True
Let o = -115.6 - -312.8. Let u = o + -197. Which is smaller: 7.1 or u?
u
Let g = -7900 - -434502/55. Suppose 0 = 2*l - 7*l - 5. Which is greater: l or g?
g
Suppose -x + 10212 = 2*x. Let b be x/850 + (-16 - -12). Is b greater than -1?
True
Suppose -2047*i + 2026*i = 33999. Is -1616 at most as big as i?
False
Suppose 62*c = 61*c + 16988. Which is greater: 16987 or c?
c
Let d = -3297778/5 - -659556. Let m = 77 - 47. Is m less than or equal to d?
False
Let v be -1 + (-3601)/(-4488) - (-1)/3. Let r = v + -2/187. Suppose 15*c = 12*c - 3. Which is smaller: r or c?
c
Let k = -17858 + 17858. Is k < 14714/5?
True
Suppose 3*u - 2 = -g, 5*g = 32*u - 29*u + 82. Suppose -g*h + 15428 = -42*h. Which is smaller: -550 or h?
h
Let x = 1256 + -1099.7. Let v = x + -165. Let d = -8.6 - v. Which is bigger: -1.1 or d?
d
Suppose 80*n + 256 = 88*n. Suppose 0 = n*l + 1655 + 265. Suppose -8*o + 3*o = 300. Is o at least as big as l?
True
Let z be 0 - -8 - (8 - (-42)/3936). Is z at most -1?
False
Let h be 4/10 + (-12)/(-20). Let x be (-66)/6 - 3*h. Let s(u) = -967*u + 3850. Let k be s(4). Is x at least k?
True
Let i be 2/(-8) - 2/(-4). Let l = -893 + 422. Let k = 469 + l. Do k and i have different values?
True
Let o be (117 + -135)*(-1)/((-11)/4 + 2). Is 12 at least o?
True
Let y = -7 + -384. Let l = 391 + y. Is l less than 134?
True
Let q be 9/(-6)*(-1)/((-3)/10184). Let x = -972574/191 - q. Is x less than -1?
False
Let z = 455 - -612. Let k = z + -1082. Let i = -34 - -21. Is k smaller than i?
True
Let l be (46/4 - -5)*4. Suppose 0 = 12*s - l + 18. Suppose 0 = -2*i - 4*m - 28, s*m - 3*m + 5 = 0. Which is smaller: i or -7?
-7
Let a = -1004/7 - -10960/77. Suppose 0 = 4*c - 19 + 23. Is c != a?
True
Let k be (-155 - -209) + (1 - 0)*6. Let b = -106 - -70. Let f be k/b + (-242)/6. Are f and -41 equal?
False
Let y be 7/24*(66 + -62). Which is bigger: y or 12.6?
12.6
Suppose 105 = -156*j - 97 + 202. Is -4/3029 smaller than j?
True
Let v(i) = 3*i - 2. Let k = 10 - 8. Let d be v(k). Suppose 0 = b - d*s - 3, 10*b = 5*b + s - 4. Is b greater than or equal to 3/2?
False
Let i = -74 - -76. Suppose -7 = -i*l - k, -2*l + k - 3*k = -10. Suppose j + 3*t = 4, -2*t = -5*j + t + l. Are j and -1/19 non-equal?
True
Let q = -74 - -152. Suppose -55 = -3*m - 2*c + 9, -4*m + c + q = 0. Suppose w - 4*r = -0*w + m, w + 2*r = -10. Is w greater than -74?
True
Let y = -41 - -44. Let q be (-2 - -31)*24/y. Is q smaller than 232?
False
Suppose 93 = 2*t - q, t - q - 11 = 37. Let a(h) = 156*h**2 - 1087*h + 9. Let m be a(7). Which is smaller: t or m?
m
Let a(l) = -121*l**2 + 451*l. Let b be a(5). Is b < -773?
False
Let z = 374 - 99. Which is bigger: z or 271?
z
Let b = 289 + -287. Let h = -8 + 12. Suppose h*r - 40 - 4 = 0. Which is greater: r or b?
r
Let m(u) = 16*u + 64. Suppose 5*x = -f - 25, 7 + 5 = -4*f + 2*x. Let j be m(f). Which is smaller: j or -13?
j
Let k = 300.4 + -520.4. Which is smaller: -4 or k?
k
Let o = 31.031 - 0.031. Let h = -45.1 + 0.1. Let n = 44 + h. Are o and n nonequal?
True
Suppose 8*s = -146*s - 188*s - 1230516. Which is bigger: -3599 or s?
s
Let q = 4865 - 4865. Are q and 18/115 nonequal?
True
Let v = -19 - 15. Let w(x) = x**2 + 3*x + 2. Let j be w(-3). Which is smaller: v or j?
v
Suppose 17585 = 4*m + 3*y, -9*m + 19*y - 18*y + 39543 = 0. Is m greater than 4394?
False
Let q(a) = -6*a + 8. Let p(z) = -25*z + 31. Let g(o) = 2*p(o) - 9*q(o). Let u be g(21). Let c be 6/((-3)/(-1))*(-2)/u. Is -1 greater than c?
False
Let t(v) be the second derivative of -v**5/20 - v**4/3 - v**3/6 - 2*v**2 - 96*v. Let a be t(-4). Let s be (4/(-4))/(2/90). Which is bigger: s or a?
a
Let v = 604 + -604. Suppose v*c - 2*q - 1169 = 5*c, 0 = 4*c + 3*q + 938. Which is greater: -235 or c?
c
Let o(y) = -y**2 - y + 56. Let a be o(-8). Let f be (24/8)/(a - (60 - 2)). Are 1 and f nonequal?
True
Let r be (21/6342)/(36/(-600)). Which is smaller: -1 or r?
-1
Let y(j) = 21*j - 266. Let z be y(12). Let d be 0*(z/120 - 14/105). Is -2/33 < d?
True
Let b(w) = -22*w - 175. Let o be b(-28). Suppose -479 - o = -8*s. Do s and 115 have the same value?
True
Let f be (-15 + -13573)*((-18)/8 - -2)*-1. Are f and 2 equal?
False
Suppose 0 = 5*k - 10, 0 = -5*z - 5*k + 3*k + 2424. Let o = z - 106966/221. Which is bigger: 0 or o?
0
Let d(n) = -13*n - 262*n**2 - 32 + 135*n**2 + 129*n**2. Let l be d(-3). Which is smaller: l or 165/7?
165/7
Let f(h) = -73*h**2 - 32*h - 35. Let x be f(-1). Are x and -38 non-equal?
True
Let d = -0.8 + 3.8. Let r = 9 - d. Let n = -4930 - -4931. Is n at most as big as r?
True
Let w = -20.07 - -20.848. Which is smaller: w or 2/7?
2/7
Suppose 3*u + 24*u - 540 = 0. Suppose r = -u*r - 1638. Which is bigger: r or 2?
2
Let d = -22.4 + -33.6. Let v = d - -53. Is 20/13 at most v?
False
Let l = -9637 - -20384. Which is bigger: l or 10748?
10748
Let y be (-90)/(-1883)*(-6552)/1404. Is y at most as big as 1?
True
Let o = -3.12 - -2.01. Let t = o - 1.89. Is -23 at least t?
False
Let l = 0 + -146. Let s = l - -145.59. Let a = -21 + 43/2. Is s >= a?
False
Let n = 53.2211 - 0.0211. Let p = 28 - -25. Let h = n - p. Is h at least as big as -2?
True
Let x = -101 - -105. Let a be -1 - (-1)/(x*2/8). Is -5/14 < a?
True
Let t(k) = 5*k**3 - k**2 - 3*k + 4. Let o be t(1). Suppose 65 = -o*v - 0. Which is greater: -8 or v?
-8
Let j = -2.26 - -162.26. Let u = 139 - j. Let v be (2 + 0)*(-1)/2. Which is smaller: u or v?
u
Let l = 3 - 2. Let z be -14 - (-15 - 1172/(-1170)). Is z bigger than l?
False
Let b(j) = 17*j - 20. Let w be b(-2). Let r be (-675)/w*16/5. Which is smaller: 46 or r?
r
Suppose -12*i + 16146 = -246*i. Is -40 greater than i?
True
Suppose -d = -0 - 3. Let l(g) = -5*g + 17. Let a be l(d). Suppose -3*f = 5*t - 18, 4*f - t - a = -f. Which is bigger: -2/123 or f?
f
Let s(a) = 2*a**2 + 3*a - 105. Let u be s(9). Let y = u + -84. Which is bigger: y or 10/9?
10/9
Let y be 0/((-6)/(-5) + (-1197)/285). Is 29/46 bigger than y?
True
Let a = 195 - 257. Let t be (1/1)/(31/a). Is -3/5 bigger than t?
True
Let j be 4 + 12/426 - 4. Let c = 4994 + -4994. Which is greater: c or j?
j
Let m = 11 - 9. Let f = -4 - m. Let u = -4134/161 + 446/23. Which is bigger: u or f?
f
Let c(h) = 4*h**2 + h + 4. Suppose -2 = 3*r + 10. Let k be c(r). Let a = k - 64. Which is smaller: 2 or a?
a
Let y = -0.056 + 0.19. Let k = -1.866 - y. Are k and -0.2 nonequal?
True
Suppose -z + 4 = -r, 0 = -2*z - 55*r + 53*r - 16. Is z != -22?
True
Suppose -114 = -35*v - 110*v + 321. Does v = 111/26?
False
Let c be 6 - ((-4635)/(-63) + 13)*21/201. Which is bigger: -3 or c?
-3
Let t(b) = 6*b**3 + b**2 + 4*b + 8. Let v(q) = q**3 + q. Let i(z) = -t(z) + 5*v(z). Let l be i(0). Suppose -989 + 975 = 2*o. Which is smaller: l or o?
l
Suppose 43*f = -0*f + 129. Suppose 0 = f*z - 5*s - 731, 3*z - 41 = s + 674. Is z less than 238?
True
Suppose -16 = -2*r + 14*t, 3*r - 47*t = -46*t + 4. Let w be (23/(-3))/(2/750). Let j = w - -330623/115. Which is smaller: j or r?
j
Let a = 2 + -1. Let z be (-96)/(-32)*((-1186)/114 + 11). Which is smaller: a or z?
a
Let q = 15977 + -15891. Is q equal to -29?
False
Suppose 0 = 72*v - 38604 + 170004. Which is greater: v or -1824?
-1824
Suppose r - 2 + 3 = -2*y, 0 = 4*y - 2*r - 10. Suppose 0*s = 13*s. Let o be s + 3 + (-32 - -26). Which is smaller: o or y?
o
Let z = 71503.03 + -71503. Let p be 2 - ((-264)/46)/(-3). Which is bigger: p or z?
p
Suppose -73*v = -95*v + 40*v + 8226. Which is smaller: -486 or v?
-486
Let v = -512002/13 | {
"pile_set_name": "DM Mathematics"
} |
73 tonnes in nanograms?
1530173000000000
What is 3/25 of a millennium in months?
1440
Convert 74271.34 kilometers to micrometers.
74271340000000
Convert 2.365591 milligrams to kilograms.
0.000002365591
What is 47/4 of a litre in millilitres?
11750
Convert 8.924569 nanometers to kilometers.
0.000000000008924569
How many micrometers are there in eleven tenths of a millimeter?
1100
Convert 0.140416ug to nanograms.
140.416
What is 0.2206359 millilitres in litres?
0.0002206359
How many decades are there in 688.0283 centuries?
6880.283
What is 505713.5mm in nanometers?
505713500000
What is 8854.833g in nanograms?
8854833000000
How many nanograms are there in 3/25 of a microgram?
120
How many millilitres are there in eighty-one halves of a litre?
40500
Convert 3719.574m to kilometers.
3.719574
How many seconds are there in four fifteenths of a day?
23040
How many decades are there in 48/5 of a millennium?
960
Convert 158.1368 millennia to months.
1897641.6
How many millilitres are there in 13/4 of a litre?
3250
What is seventy-three quarters of a decade in months?
2190
What is 1/5 of a day in minutes?
288
How many weeks are there in 14585073.3s?
24.11553125
How many years are there in one fifth of a decade?
2
How many grams are there in 19/4 of a kilogram?
4750
How many years are there in 1/4 of a millennium?
250
What is 5979.85 decades in centuries?
597.985
What is 13/4 of a tonne in kilograms?
3250
What is 6.467919ml in litres?
0.006467919
How many years are there in 11/10 of a century?
110
How many millilitres are there in 13/8 of a litre?
1625
How many days are there in 8072.3115ns?
0.00000000009342953125
How many millilitres are there in 41.1967l?
41196.7
How many years are there in 1/4 of a century?
25
What is 0.3680219 centimeters in meters?
0.003680219
Convert 34.78987l to millilitres.
34789.87
What is 585.8294 litres in millilitres?
585829.4
How many millilitres are there in one quarter of a litre?
250
Convert 830.8651 weeks to nanoseconds.
502507212480000000
Convert 0.9884254g to milligrams.
988.4254
What is 757.7165 years in centuries?
7.577165
Convert 0.0008841 decades to months.
0.106092
What is 7/4 of a millennium in months?
21000
What is 7/4 of a milligram in micrograms?
1750
How many months are there in 5/4 of a century?
1500
What is 21.40243 tonnes in kilograms?
21402.43
What is 21/5 of a litre in millilitres?
4200
How many micrograms are there in 7/2 of a milligram?
3500
How many millilitres are there in 52477.74l?
52477740
Convert 68.01219 grams to milligrams.
68012.19
What is one tenth of a milligram in micrograms?
100
Convert 215.3712 tonnes to milligrams.
215371200000
What is 92.8856g in micrograms?
92885600
How many litres are there in 716070.8 millilitres?
716.0708
How many microseconds are there in 369.8416 milliseconds?
369841.6
Convert 1546.086 nanoseconds to milliseconds.
0.001546086
What is 17/2 of a milligram in micrograms?
8500
What is one fifth of a millennium in decades?
20
How many minutes are there in 13/9 of a day?
2080
Convert 559.773 meters to centimeters.
55977.3
What is 98/5 of a litre in millilitres?
19600
How many days are there in 588.91212 microseconds?
0.0000000068161125
Convert 894.3026 meters to centimeters.
89430.26
What is fifty-one fifths of a kilogram in grams?
10200
What is 7/4 of a centimeter in micrometers?
17500
What is 11/8 of a kilogram in grams?
1375
Convert 0.5838448 litres to millilitres.
583.8448
What is 6153.398 nanometers in meters?
0.000006153398
Convert 4.90055 kilometers to centimeters.
490055
What is one sixteenth of a millisecond in nanoseconds?
62500
How many microseconds are there in 0.722134 minutes?
43328040
What is seven thirds of a hour in seconds?
8400
How many centimeters are there in 8463.033 meters?
846303.3
How many days are there in 1979958.6us?
0.0000229161875
How many micrograms are there in 445964.2 kilograms?
445964200000000
How many nanograms are there in 3/5 of a microgram?
600
How many kilograms are there in 37/5 of a tonne?
7400
How many years are there in 750.3003 centuries?
75030.03
Convert 570634.3 decades to months.
68476116
What is 29/5 of a tonne in kilograms?
5800
How many millilitres are there in 21/4 of a litre?
5250
Convert 80.290863ns to hours.
0.0000000000223030175
How many micrograms are there in 27/2 of a milligram?
13500
How many nanograms are there in 21/5 of a microgram?
4200
What is 0.198279 decades in months?
23.79348
What is one fifth of a milligram in micrograms?
200
How many months are there in fourty-three halves of a year?
258
How many minutes are there in 266.85804us?
0.000004447634
What is 5967.738mg in grams?
5.967738
How many nanoseconds are there in seven halves of a microsecond?
3500
How many litres are there in 17913.01 millilitres?
17.91301
What is three tenths of a tonne in kilograms?
300
How many months are there in 3/50 of a millennium?
720
How many millilitres are there in 3/5 of a litre?
600
How many centimeters are there in 37/2 of a meter?
1850
Convert 0.8233541 centuries to decades.
8.233541
What is 4/3 of a minute in seconds?
80
How many years are there in 761.3543 millennia?
761354.3
What is 13/5 of a century in decades?
26
What is 9378.739 centuries in decades?
93787.39
How many decades are there in twenty-one fifths of a millennium?
420
What is 19.66986 milliseconds in hours?
0.00000546385
How many centuries are there in 10147.33 millennia?
101473.3
Convert 12281.02 millilitres to litres.
12.28102
How many decades are there in 45/4 of a millennium?
1125
What is 55/4 of a meter in centimeters?
1375
Convert 84727.32 years to millennia.
84.72732
How many micrograms are there in nine tenths of a milligram?
900
How many litres are there in 98.7553 millilitres?
0.0987553
What is 6937.48um in centimeters?
0.693748
How many decades are there in 594.1269 centuries?
5941.269
How many minutes are there in 6/5 of a week?
12096
What is 2.750462 millennia in decades?
275.0462
What is 970882.8 weeks in hours?
163108310.4
How many millilitres are there in 1.658059 litres?
1658.059
What is 624.1318mg in kilograms?
0.0006241318
Convert 4762.09 micrometers to kilometers.
0.00000476209
How many millilitres are there in three eighths of a litre?
375
Convert 9750.546 months to years.
812.5455
How many months are there in eleven halves of a decade?
660
Convert 683.9857um to millimeters.
0.6839857
How many millennia are there in 688.6859 decades?
6.886859
How many nanoseconds are there in 7.41217 minutes?
444730200000
What is one sixth of a week in hours?
28
What is 5823.831 nanograms in tonnes?
0.000000000005823831
How many millilitres are there in 75/2 of a litre?
37500
How many years are there in 3/50 of a century?
6
How many millilitres are there in thirteen quarters of a litre?
3250
What is 3/5 of a micrometer in nanometers?
600
How many years are there in 732930.9 months?
61077.575
What is 6.764451cm in kilometers?
0.00006764451
How many minutes are there in 52/5 of a day?
14976
How many hours are there in 59.857713us?
0.0000000166271425
Convert 237650.5 years to months.
2851806
What is 37859.12l in millilitres?
37859120
What is twenty-seven quarters of a meter in centimeters?
675
What is seventeen tenths of a microgram in nanograms?
1700
Convert 2401.671 centimeters to kilometers.
0.02401671
What is 0.3029715 years in millennia?
0.0003029715
How many meters are there in 7/8 of a kilometer?
875
How many months are there in 6/5 of a century?
1440
What is twenty-one halves of a microsecond in nanoseconds?
10500
What is six fifths of a litre in millilitres?
1200
What is 19/4 of a litre in millilitres?
4750
Convert 93.80189 millilitres to litres.
0.09380189
What is eleven quarters of a litre in millilitres?
2750
Convert 465385.3 decades to months.
55846236
What is 5/4 of a millennium in months?
15000
What is twenty-one fifths of a litre in millilitres?
4200
How many kilograms are there in fifty-four fifths of a tonne?
10800
Convert 385.8787 nanograms to tonnes.
0.0000000000003858787
What is 1/6 of a decade in months?
20
What is twenty-seven quarters of a litre in millilitres?
6750
What is 8.137548ns in hours?
0.00000000000226043
How many months are there in 51/4 of a year?
153
How many nanoseconds are there in 0.0949771ms?
94977.1
What i | {
"pile_set_name": "DM Mathematics"
} |
uming a is positive.
a**(-19198/4275)
Simplify ((o*(o/o**(2/25))/o)/o**(-1/22)*(o**9/o)**(-10))**47 assuming o is positive.
o**(-2043043/550)
Simplify (y**(3/8)/y*y*y*y**(2/7)*y*y*y*y/(y/(y**(-1/5)*y))*(y**(-2/17)*y)/y)/(((y/(y*y**(-2/7)))/y)**(1/47)*y**5/((y*y**0/y)/y)) assuming y is positive.
y**(-143569/223720)
Simplify (y/(((y*(y*y*y**0)/y*y*y)/y)/y))**35*y**(-1/3)/(y*y**(2/7))*y**(2/17)*y*y**(-4)*y**(-8/5)*(y/y**(-4/3))/y assuming y is positive.
y**(-23662/595)
Simplify ((a**(9/8)*a**(-40))**(-2/49))**(-29) assuming a is positive.
a**(-9019/196)
Simplify (a**(2/7)/a)/(a**2*a)*(a*a/a**2)/a**(-2/3)*(a**(1/4)/(a*(a*a**12)/a))**35 assuming a is positive.
a**(-37741/84)
Simplify ((r/((r*(r*(r*r*((((r*r**6)/r)/r)/r*r)/r)/r)/r)/r)*r)/(r**(-3/2)*r))**(-1/83)/(r**(-1/10)/(r*r**1/r*r*r)*r**(-1/3)*r**(5/3)*r) assuming r is positive.
r**(992/1245)
Simplify ((s**(-19)*s**(-14))/(s**(-2/11)*s/s**(-21)*s))**(4/27) assuming s is positive.
s**(-2456/297)
Simplify (x/x**6*x*x/(x/x**10))**27/((x*x**(-2)/x)/(x*x**(-2/9)/x))**(12/7) assuming x is positive.
x**(3466/21)
Simplify (((q*q**(2/7))/q)**(-6/5))**(-4/15)*(q**(-8)/(q/(q/((q/q**(-2/9))/q))))**(2/19) assuming q is positive.
q**(-23164/29925)
Simplify ((p**(-8)/p*p**(-4))/(p/(p*p*p**(-3/2)/p)*p*(p**(-4)/p)/p))/((p**0/((p*p*p*p**(1/2))/p))/((p**(4/9)*p)/((p/p**(-1/2))/p))) assuming p is positive.
p**(-109/18)
Simplify (((x/(x**1*x*x)*x*x)/x)**23)**(5/4)*((x*x*((x**2/x)/x)/x)**(1/3))**(6/25) assuming x is positive.
x**(-2867/100)
Simplify q/(q*q/(q*q**(1/16)*q)*q*q)*q/q**(1/2)*(q**(-2/25)/q)/(q**(1/4)/q*q)*(q/q**0)/q**(-1/9)*q**(-7)/q*q**9/q*q assuming q is positive.
q**(1237/3600)
Simplify (((i**1*i)/i)**(-2/3))**(-43)/(((i/(i*i**(-3/7))*i)/i**(-3))/(i*(i**(-1/3)*i*i)/i)**(-2/13)) assuming i is positive.
i**(6547/273)
Simplify (((m/(m/m**(-4)))/(m/m**(-2/17)))/(m**(-1/3))**(19/4))/((m**(-3)/m**(-6))/(m**3*m*m*m/m**(-3))) assuming m is positive.
m**(503/204)
Simplify ((r/(r/r**20*r)*r**(5/4))**(-25))**32 assuming r is positive.
r**(-16200)
Simplify ((f/(f**(-2/5)*f))**21*(f/f**(-1))**(3/13))/(f/(f*f**(-3)*f*f)*f*f*f**(-9/2))**(-5/12) assuming f is positive.
f**(4283/520)
Simplify ((i/(i**(2/11)*i))/i**(1/15)*i**(-25)*((i/(i/i**(-3/2)))/i)/i)**(-28) assuming i is positive.
i**(132818/165)
Simplify (u*u**(-6/11)*u*u**(1/7))**(-3/8)*(u*u**0*u)**9/(u**(2/11)/((u/(u*u/(((u*u*u*u/u**(4/3)*u)/u)/u)))/u)) assuming u is positive.
u**(31205/1848)
Simplify ((m/m**(2/57))/(m*m*m**31)*(m/(m/(m/(m*m*m*m*m**(-9)*m))))**11)**43 assuming m is positive.
m**(56287/57)
Simplify (j**6*j/j**(-6))**(-33)*((j*j**1)**12)**45 assuming j is positive.
j**651
Simplify ((p**8/p*p)/(p**29/p*p)*(p*(p/(p/p**(-25)))/p)/(p/(p*p/p**(3/10)*p*p)))**14 assuming p is positive.
p**(-3031/5)
Simplify ((w**0)**44/(((w*w/((((w**(1/2)/w)/w)/w)/w))/w)/w**(-1)))**(-36) assuming w is positive.
w**198
Simplify ((d**(-18)*d)**(-3/29)*(d**(-4/7))**(-1/13))**(2/109) assuming d is positive.
d**(9514/287651)
Simplify (w*(w/w**(-11))/w*w*w**11*(w**(-1/7))**(-43))**33 assuming w is positive.
w**(6963/7)
Simplify ((v**(-1/4))**(2/7)/(v*v/((v**(-1)/v)/v)*v*v)**(-1/54))/((v**0*v)**(-1/7))**29 assuming v is positive.
v**(794/189)
Simplify ((s*s/(s/s**(-1))*s/s**6)/((s**(1/4)/s*s)/s**(-1/5)))/((s**(-2))**(-14)*(s*s**(-2/3))**(-7)) assuming s is positive.
s**(-1867/60)
Simplify (((((((g**(-2/29)*g)/g)/g)/g)/(g/g**(-3/8)))/(g**5/g*g/(g**(-2/11)/g)))**(-1/17))**(-9/4) assuming g is positive.
g**(-13005/10208)
Simplify ((y**(-2/23)/((y*y*y/y**(-1/2)*y*y)/y))/(y/y**(-2))**(-1/33))/((y*y*y**(-2/5))**(17/5)/((y*y**(-1)*y)/(y/y**7))) assuming y is positive.
y**(-37141/12650)
Simplify (((c*c**0/c)/c)**22)**(1/2)/(c**(1/2)/(c/c**6))**(-9/4) assuming c is positive.
c**(11/8)
Simplify (b/(b/(b/b**(-6/11)*b))*b**8)**(-35)*(b*b**(-2/7)*b*b/(b/(b/(b*b*b*(b/(b*b**(-2/19)))/b*b))))**(-41) assuming b is positive.
b**(-516528/1463)
Simplify l**(-2/43)/(l/(l/(((l*l*l**(-7/5)*l)/l*l)/l)))*(l**(-18)/l)**45 assuming l is positive.
l**(-183964/215)
Simplify (q*q**7*q*q**(1/8)*(q/(q**(1/3)*q))**(-6/5))/((q**(2/7)*q**(-1/7))/(q**1/q)**(-5/4)) assuming q is positive.
q**(2627/280)
Simplify ((c**0)**(1/6)/(c**1)**(14/11))/(c**(-3/4)/c**(-1/3)*c**(-2/5)*c/(c**(-2/7)*c)) assuming c is positive.
c**(-3427/4620)
Simplify (((f**31*f*f*f**(-20))**(-9))**10)**42 assuming f is positive.
f**(-49140)
Simplify (i*i/(i*(i/(i/(i*i/(i**(-3)/i))))/i)*i**(-5)/i)**20*((i*i/i**1)/i)**40/(i**0/i)**(-2) assuming i is positive.
i**(-202)
Simplify ((p**8/p**(-2/9))/(p**(2/3))**(-33))/(((p/(p*p**3/p*p))/(p/p**(3/8)))/(p**5*p*p**(-2/5))) assuming p is positive.
p**(14201/360)
Simplify ((h**1)**29/((h*h*h*h**(7/2)/h*h*h)/(h*h*h*h*h/((((h**7/h)/h)/h)/h)*h*h)))/((h**(-7)/(h/h**(-1/5)))/(h**0*h)**(-1/19)) assuming h is positive.
h**(6393/190)
Simplify (r**(-23))**18*r*r*r**26/r*r*r**9 assuming r is positive.
r**(-377)
Simplify ((a**33/a)**(8/3)/(a**(1/30)/(a*a/(a**(-33)*a)*a)))**(2/75) assuming a is positive.
a**(401/125)
Simplify ((((p/p**(2/17))/p*p)/p**(-8))**46)**(2/39) assuming p is positive.
p**(13892/663)
Simplify ((p*p**31*p*p**26)/(p/(p*p*p**(-11/5)))**(4/23))**(3/8) assuming p is positive.
p**(20283/920)
Simplify ((d**(-4)/(d/(((d/(d/(d**0/d)))/d)/d)))/(d**4/(d/d**(-2/5)*d)))/((((d/(d*d/d**(1/4)))/d)/d)/(d/(((d**1*d)/d)/d)))**27 assuming d is positive.
d**(1833/20)
Simplify (v**(-4)*v*v**11)/(v**(2/35)*v/(v**22*v)) assuming v is positive.
v**(1048/35)
Simplify ((k**27*(k/((k**(3/5)*k)/k))/k)**13)**41 assuming k is positive.
k**(70356/5)
Simplify (s**(-6)*s)**(-6/17)*s**(-1/6)/(s**(-35)/s) assuming s is positive.
s**(3835/102)
Simplify (i**(-8/3)/i**(-1/4))**(-12/11)/(i/(i/(i/i**(-1)))*i**(5/2)*i*(i**(-1)*i)/(i*i*i**(-5)*i)) assuming i is positive.
i**(-107/22)
Simplify ((r**(-19)/((r*r**23*r)/r))/(r/(r*(r**(-10/7)*r)/r*r)*r)**(-23))**(-1/4) assuming r is positive.
r**(71/28)
Simplify (((d**6*d)/d)/d*((d**(-2)*d)/d)/d*d**(-3)*d**2/d*d)/((((d/(d*d/(d**0*d)*d))/d)/d*d)**28*d**(-1/4)/d*d/d**(-1/3)*d) assuming d is positive.
d**(671/12)
Simplify ((j*j*j**(-5))/j**6*(j**(-8)/j)/j*j**(-8))/((j/j**(1/14)*(j*j**(-1/15))/j)/((j*j**(2/3))/j**(2/7))) assuming j is positive.
j**(-5561/210)
Simplify (l**(-2/5))**(-7/4)/((l*l**1/l)/(l/l**6*l))*(l*l*l/(l/(l/(l/l**(-2/11)*l*l*l*l)))*l)/l**(-1/4)*((l*l**0)/l)**(-45) assuming l is positive.
l**(-1151/220)
Simplify ((n*n**(-1/3))**(-20))**(-20)/(n**3/n*(n/(n/(n*n**(-4/9))*n)*n)/n)**(2/11) assuming n is positive.
n**(26372/99)
Simplify ((q**1)**(2/31)/(q*q**(2/17)*q**(-1/4)))/((q/(q/(q/(q**(-2/7)*q))))**(8/19)/(q*q**(-2/7))**(14/5)) assuming q is positive.
q**(301831/280364)
Simplify (d*d/(d*d**(-6/11))*d*d/((d**(5/8)*d)/d*d)*d)/((d/d**5)/(d/(d*d**(3/26)))) assuming d is positive.
d**(7785/1144)
Simplify (j**(-24)/(j**14*j)*(j**41)**(-26))**(-3/4) assuming j is positive.
j**(3315/4)
Simplify (((m**(2/3)/m)/m)/m**3)/(m/(m/(m*m*m*m**(1/5)/m*m))*m/m**(-7))*(m**(6/7)*m*m*m/m**(-5))**(2/107) assuming m is positive.
m**(-172657/11235)
Simplify ((z**(5/4)*z*(z*z*z/(z/(z*z*z**(3/14))))/z*z)/(z**(-34)*z/z**(-32)))**(-1/23) assuming z is positive.
z**(-209/644)
Simplify ((m**(2/7)/m)**(-37)*(m**(-2/7))**(-1/5))/((((m/(m/(m/(m/(((m*(m*m**2)/m)/m)/m)))))/m)/m**(-6/7))/((m**(-6)/m)/(m**(8/5)/m))) assuming m is positive.
m**(631/35)
Simplify ((r*r/(r/(r*r**(-20)/r*r*r)))/(r/(r/r**24*r*r))*r**(-33)*r/(r/r**(2/13)))**(-13/2) assuming r is positive.
r**467
Simplify (((k*k**(-2)/k)**(-48)*((k**(-2/3)*k)/k)**(7/6))**(16/5))**(-1/26) assuming k is positive.
k**(-6856/585)
Simplify ((t**31*t*t**(1/19))/((t**39/t*t)/t)**(1/17))**(2/17) assuming t is positive.
t**(19262/5491)
Simplify (q**(-3/2)/(q**(-5)/q))**(8/3)/((q**(-1))**(1/12)/((q*q/(q/(q*q**(-3))))/(q**8/q*q))) assuming q is positive.
q**(37/12)
Simplify ((g/(g**(-1/10)*g*g)*g)/(g/g**(-1)*g)*g/(g**(-1)/g)*g**4)/((g*g**(1/4)*g)**(-10/11)*g*g*g**(-1/7)*g*g/g**6) assuming g is positive.
g**(3191/385)
Simplify (d*d**(2/5)*((d**17*d)/d)/d*(d/((d*(d/(d**(1/7)*d))/d)/d))**(-5))**(-47) assuming d is positive.
d**(-10998/35)
Simplify h/((h/(h**(-1/3)*h*h*h))/h)*h*h**0*h*((h/((h/(h*(h/(h**(1/2)/h))/h*h))/h*h))/h*h)**18*((h**(-3/5)*h)/h**9)**(-3/16) assuming h is positive.
h**(12547/240)
Simplify ((b*b*b/(b**(-3)/b)*b*b/((b*b**(-1))/b))/(b/(b*b**(-1/2) | {
"pile_set_name": "DM Mathematics"
} |
68.21 to the nearest 1000.
4554000
What is -939522.23 rounded to the nearest one hundred thousand?
-900000
What is -597381.292 rounded to the nearest 100000?
-600000
What is 0.00029365858 rounded to five decimal places?
0.00029
What is -1889.832366 rounded to the nearest 10?
-1890
Round 4815.861119 to the nearest one thousand.
5000
Round -685.3283587 to one decimal place.
-685.3
Round -17879566.63 to the nearest one hundred thousand.
-17900000
Round -47670.2 to the nearest 100000.
0
Round -64920573 to the nearest ten thousand.
-64920000
What is -5258.8467 rounded to the nearest 100?
-5300
Round 962272.575 to the nearest 10000.
960000
Round 0.001225299173 to six dps.
0.001225
Round -168556.82423 to 0 decimal places.
-168557
Round -0.14666623727 to 6 dps.
-0.146666
Round 0.00000086366425 to 7 decimal places.
0.0000009
Round 0.000040537761 to 6 dps.
0.000041
What is -57320189.8 rounded to the nearest 1000?
-57320000
Round -4.73534639 to 3 dps.
-4.735
Round -117971664 to the nearest 10000.
-117970000
Round 0.926055627 to one dp.
0.9
What is -0.03434180461 rounded to six decimal places?
-0.034342
Round 115181.16 to the nearest ten thousand.
120000
What is -22.68946816 rounded to one dp?
-22.7
Round 95.218555 to 1 decimal place.
95.2
What is 0.1202443415 rounded to two decimal places?
0.12
Round -6290.153681 to the nearest 100.
-6300
Round 0.0000219439418 to 6 decimal places.
0.000022
Round -46348657.2 to the nearest one million.
-46000000
What is -10.1400954 rounded to 3 dps?
-10.14
What is 1970333.44 rounded to the nearest 1000?
1970000
Round -1638.92267 to the nearest one hundred.
-1600
Round 0.00875992339 to three decimal places.
0.009
Round -662.8663773 to two dps.
-662.87
What is -0.29584689 rounded to 2 dps?
-0.3
What is -0.00328040955 rounded to seven dps?
-0.0032804
What is 1.548219225 rounded to 5 dps?
1.54822
What is 0.0000177100822 rounded to seven decimal places?
0.0000177
Round 0.86557428 to 1 decimal place.
0.9
What is -0.0000455689561 rounded to 7 decimal places?
-0.0000456
Round 167731.9797 to the nearest 10000.
170000
Round 668.92306 to 0 dps.
669
Round -0.0000213295597 to 5 dps.
-0.00002
Round 2607743337 to the nearest one million.
2608000000
What is -1298589.35 rounded to the nearest one hundred?
-1298600
What is -28.15924903 rounded to the nearest 10?
-30
Round 0.0482208838 to six dps.
0.048221
Round 0.2050178636 to four dps.
0.205
What is -0.000021153161 rounded to 5 decimal places?
-0.00002
Round -25794.412 to the nearest one hundred.
-25800
What is -585342.649 rounded to the nearest 100?
-585300
What is 1.3671085 rounded to the nearest integer?
1
What is 6742744.4 rounded to the nearest one million?
7000000
What is 3425160570 rounded to the nearest one million?
3425000000
What is -500155.9746 rounded to the nearest ten thousand?
-500000
Round 173204888 to the nearest one million.
173000000
Round -14619.6259 to the nearest 1000.
-15000
What is -0.0000506205255 rounded to 5 decimal places?
-0.00005
Round 828092.52 to the nearest 100.
828100
Round -0.2126504611 to four decimal places.
-0.2127
Round 877.893634 to 1 dp.
877.9
What is -0.0305160116 rounded to four decimal places?
-0.0305
What is -275.356944 rounded to the nearest ten?
-280
What is 0.0005876285664 rounded to 4 dps?
0.0006
What is 0.0282556868 rounded to 5 decimal places?
0.02826
Round -40.6513965 to 1 decimal place.
-40.7
Round -0.004623837051 to 4 dps.
-0.0046
What is -169320.2351 rounded to the nearest 10?
-169320
Round 1623.496555 to the nearest ten.
1620
What is -106712165 rounded to the nearest one hundred thousand?
-106700000
What is 9588.79352 rounded to the nearest one thousand?
10000
Round 0.0184990181 to six dps.
0.018499
Round 0.048868884 to two dps.
0.05
Round 1.8650826 to 0 decimal places.
2
Round -23.118123 to 2 decimal places.
-23.12
What is 4.3394512 rounded to 2 decimal places?
4.34
Round 250.0234159 to one dp.
250
What is 155418725.7 rounded to the nearest 10000?
155420000
What is -0.02131893862 rounded to two decimal places?
-0.02
Round -27.8447229 to 3 dps.
-27.845
Round 0.004028183 to 3 decimal places.
0.004
What is -1338.838535 rounded to the nearest ten?
-1340
Round 0.06019540885 to six decimal places.
0.060195
What is 0.0935140798 rounded to two dps?
0.09
Round -0.00000310788724 to seven dps.
-0.0000031
Round 0.729406494 to three dps.
0.729
Round 276114.79 to the nearest ten thousand.
280000
Round 1.06343778 to 1 decimal place.
1.1
What is 79.9236463 rounded to the nearest integer?
80
What is 55285.1072 rounded to the nearest ten thousand?
60000
What is -0.00138815192 rounded to 6 decimal places?
-0.001388
Round 0.0028695458 to 5 dps.
0.00287
Round 6.320641 to one decimal place.
6.3
Round 10.461657 to one dp.
10.5
What is 8693722420 rounded to the nearest one million?
8694000000
What is 5557478.23 rounded to the nearest one hundred?
5557500
Round -346780.231 to the nearest one hundred.
-346800
Round 80618.30419 to the nearest 10.
80620
What is -0.58228233 rounded to 1 dp?
-0.6
Round -1.36043766 to four dps.
-1.3604
Round 0.7980548 to 3 dps.
0.798
Round 134471.86741 to the nearest one hundred.
134500
What is -607702.4339 rounded to the nearest one hundred?
-607700
What is -3155088.4 rounded to the nearest 10000?
-3160000
What is -5.8056462 rounded to two decimal places?
-5.81
What is 0.000107012829 rounded to seven dps?
0.000107
Round 61.41987475 to 3 dps.
61.42
Round -13162.89137 to 0 dps.
-13163
What is -3.151207874 rounded to 2 decimal places?
-3.15
Round -1122455.92 to the nearest 1000.
-1122000
Round 0.126345455 to one decimal place.
0.1
Round -7.62610813 to three dps.
-7.626
What is -24.53570909 rounded to zero dps?
-25
What is -3.01454719 rounded to 1 decimal place?
-3
What is -0.00054786863 rounded to 4 dps?
-0.0005
Round -6103455051 to the nearest one hundred thousand.
-6103500000
Round 0.0002472904653 to seven dps.
0.0002473
What is 0.0000001895321534 rounded to 7 dps?
0.0000002
What is 18751.3704 rounded to the nearest 10?
18750
What is 5535248.1 rounded to the nearest one million?
6000000
Round 422.004726 to the nearest one hundred.
400
What is 111001538.6 rounded to the nearest one million?
111000000
Round 0.1816725256 to 3 decimal places.
0.182
Round 0.907538 to 4 decimal places.
0.9075
What is 56949235.1 rounded to the nearest 10000?
56950000
What is 0.0000004283213869 rounded to seven dps?
0.0000004
What is 38527068 rounded to the nearest 10000?
38530000
Round 1225559.16 to the nearest 100.
1225600
Round 17346294.6 to the nearest 100000.
17300000
Round -380097.057 to the nearest 10000.
-380000
What is 10995.9722 rounded to the nearest one hundred?
11000
Round -0.212297111 to 3 decimal places.
-0.212
What is 0.146297423 rounded to five decimal places?
0.1463
Round -35.4647996 to the nearest 10.
-40
Round -20119010 to the nearest 10000.
-20120000
What is -56.5564239 rounded to the nearest integer?
-57
Round -0.00001086784516 to six decimal places.
-0.000011
What is 0.001092569654 rounded to 7 dps?
0.0010926
What is -29788262.978 rounded to the nearest 1000?
-29788000
What is 0.2200113398 rounded to 2 dps?
0.22
Round -0.000008324372176 to 6 dps.
-0.000008
Round 665.095477 to one decimal place.
665.1
What is -2585949.64 rounded to the nearest 10000?
-2590000
Round 0.00004220771 to seven decimal places.
0.0000422
Round 3222614.31 to the nearest ten thousand.
3220000
What is 0.0023743407 rounded to four decimal places?
0.0024
Round -18850336.396 to the nearest 100.
-18850300
Round 0.00006945648884 to five decimal places.
0.00007
Round 0.0000033873718 to 7 decimal places.
0.0000034
What is -24098427 rounded to the nearest one million?
-24000000
Round -0.002243992403 to 7 decimal places.
-0.002244
What is 740433.96 rounded to the nearest one hundred?
740400
Round -412.09116 to 2 dps.
-412.09
Round -2317754.432 to the nearest ten.
-2317750
What is -54.15966745 rounded to two decimal places?
-54.16
What is -0.000103186306 rounded to 7 decimal places?
-0.0001032
What is 3.1869163 rounded to the nearest integer?
3
What is 2100.586451 rounded to the nearest 10?
2100
What is 2597.9923 rounded to the nearest one hundred?
2600
Round 0.207485645 to 4 decimal places.
0.2075
What is -2.772072906 rounded to two dps?
-2.77
Round 0.098578908 to | {
"pile_set_name": "DM Mathematics"
} |
*(2 + (-20)/6). Let s be (-7)/(-15) - (-4)/(-6). Which is the nearest to 0? (a) 2/5 (b) s (c) k
b
Let i(b) = b**2 + 8*b + 2. Let h be i(-8). Suppose r - h = 3*r. Let f = 1/74 + -155/518. What is the closest to r in 2/7, 1, f?
f
Let n be (-3)/(-6)*(-3)/(-2). Let x = -4.32 - -4.52. Which is the nearest to 0? (a) x (b) 0.5 (c) n
a
Let m = 4.16 - 0.16. What is the closest to 8 in m, 3, -0.5?
m
Let n be 13 + -13 - (-4)/(-1). Let k be (n - -3)*(-2)/8. Suppose 3*b - 4*s + 16 = 0, 0 = 2*b + 3*s - 0 - 12. What is the closest to b in k, -4/3, -0.2?
-0.2
Suppose -6*u + 7*u + 34 = 3*o, 4*o + 2*u - 52 = 0. Which is the closest to 0? (a) 1 (b) 3/2 (c) -2 (d) o
a
Suppose -3*n = -5*c + 13, 0*c + 5*c - 10 = 0. Suppose 2*g - 10*g = -8. What is the nearest to n in g, 2/11, 4?
2/11
Suppose -15*c = -14*c - 1. What is the nearest to 3 in 1/7, -2, c?
c
Let s = -191 - -574/3. Which is the nearest to -5? (a) 2/3 (b) 0.5 (c) s (d) -4
d
Let x = -64653/5 - -13001. Let r = -70 + x. Which is the closest to r? (a) 2/15 (b) 0 (c) 0.1
a
Let n = -2.26 + 2.36. Let u be -3 + -1*(-147)/51. Which is the nearest to -1/3? (a) 5 (b) n (c) u
c
Let v = 59/10 - 37/5. Let k(s) = -9*s - 14. Let f(p) = -19*p - 28. Let o(l) = -6*f(l) + 13*k(l). Let g be o(-7). Which is the closest to 0? (a) 0 (b) v (c) g
a
Suppose 22*x - 30 = 32*x. Which is the closest to 0? (a) -0.3 (b) x (c) 124/7
a
Let p be (-147)/(-30) + (-243)/54. What is the nearest to p in 0.2, -3, 1/15, 1/7?
0.2
Let y = 14 - 9. Let j = 5.79 + -5.39. Suppose -1 + 4 = 2*d - 3*s, 2*d + 5*s = -21. What is the nearest to 0.1 in y, j, d?
j
Let g = 406 + -405. Let h = 6 + -10. What is the nearest to h in g, 5, -4?
-4
Let v = 902.9 - 903. Which is the closest to -0.1? (a) 2/7 (b) v (c) -10/9 (d) -0.2
b
Let v be 1/(-2) + (-2)/(-4). Let l be (2 - 0) + v - (6 + -11). Which is the closest to -1? (a) 4 (b) 3 (c) l
b
Let n be (-50)/(-12) + -19 + 33 + -18. Which is the closest to -1/10? (a) 10 (b) 1/3 (c) n
c
Let i be (0 + -1)/(12/((-240)/(-35))). Which is the closest to -2? (a) i (b) 0 (c) -0.3 (d) -1
d
Let q = 1249 + -1249.2. Which is the closest to q? (a) -29 (b) 0.1 (c) -3/7
c
Suppose 0 = -0*b - 2*b. Let c be (-2)/(-12) - (-154)/(-24). Let t = 267/44 + c. What is the closest to 2/3 in t, b, 4?
b
Let k(j) = -j**3 - 19*j**2 - 39*j - 105. Let o be k(-17). Which is the nearest to -1? (a) 1/6 (b) o (c) 0
c
Let i be 5 - 13/12*4. Let j = 4.6 - 5. Let s = -0.2 + 0.3. What is the closest to s in i, j, 3/7?
3/7
Let z = 4 - -126. Let k = z - 781/6. Which is the nearest to 8? (a) k (b) -0.2 (c) 0.5
c
Let s be (-19)/57 + 2/4. Let j be (42/140)/(9/4). Let x = 6 - 5.8. Which is the nearest to 2/5? (a) j (b) x (c) s
b
Let b = -10 - -8. Let f = -7.5 + 7. Let v be (-14)/6*(-34)/(-357). What is the nearest to v in b, 2, f?
f
Let m = -717 + 13621/19. Which is the nearest to -0.1? (a) m (b) 0 (c) -36
a
Let y = 1.8 + 11.2. Let w = y + -15. Which is the closest to 0? (a) 1 (b) 0.3 (c) w
b
Let x = -54.5 - -54.6. Which is the closest to -0.1? (a) -2/7 (b) x (c) -0.13 (d) -0.1
d
Let y be 29/9 - (280/(-36) - -8). What is the closest to -0.1 in y, 3/4, -5, -3/103?
-3/103
Let p(f) = -f**3 - 13*f**2 - 2*f - 21. Let q be p(-13). Which is the closest to 12? (a) 0.4 (b) q (c) -5
b
Let q(x) = -x**3 + 5*x**2 + 8*x + 3. Let v be q(6). Suppose 11*k = 14*k + v. Suppose 0 = 3*y + y. What is the closest to -1/5 in k, 0.3, y?
y
Let j be 93/(-4)*18/(-27). Let s be (-100)/6 - 2/(-3). Let w = s + j. Which is the closest to 2/3? (a) w (b) -2 (c) 3
a
Let o = 83 - 93. What is the nearest to -0.1 in o, -0.1, 1?
-0.1
Let d = -41111/524 + -104/131. Let u = 79 + d. Which is the closest to 2? (a) 1 (b) -0.2 (c) u
a
Let d be (1 + 0)/((-13)/26*3). What is the closest to d in -13, -2/7, 1/5?
-2/7
Let m = -11 - -89/8. Which is the nearest to 2.7? (a) -4/3 (b) m (c) 4
c
Suppose 5*y = -4 - 1. Let t be y - 1*14/(-10). Let s be (1/(-7))/(1/(-2)). Which is the closest to s? (a) 2 (b) t (c) 1/3
c
Suppose -8 = 3*m - 2. Let r = 6.417 + -0.417. Which is the nearest to 0.1? (a) m (b) 5 (c) r
a
Let l = 524 + -9958/19. Which is the closest to -1/6? (a) 0 (b) 0.3 (c) l (d) 2
c
Let u(n) = -n**3 + 5*n**2 - 5*n - 2. Let h be u(2). Which is the closest to 9? (a) h (b) -5 (c) 4 (d) -3
c
Let g = -107 + 108. Suppose g = -6*x - 23. Which is the nearest to 2? (a) 3 (b) x (c) 15
a
Let o(x) = -x**3 - 8*x**2 - 5*x - 10. Let k be o(-8). Let n be ((-27)/k)/((-24)/(-10)). Let b = 5/8 + n. What is the nearest to b in 5, 0.4, -3/5?
0.4
Let o = 3 - 5. Let l = -0.183 - -0.183. Which is the nearest to -2/9? (a) -2/7 (b) l (c) o
a
Let d be ((-8)/(-6))/((-440)/(-180)). Let x = -0.3 - -0.26. Let g = x - -5.04. Which is the nearest to 0? (a) g (b) -2 (c) d
c
Let k = -2.8 - 0.2. Let f = 5.26 - 15.26. Let d = 165 + -1487/9. What is the nearest to 2/5 in f, k, d?
d
Let q = -1.3 + 0.8. Suppose 0 = -0*o - 3*o - 3. Which is the closest to o? (a) 1 (b) 0.4 (c) q
c
Let r be 23/14 - (-3 - 54/(-12)). Which is the closest to 0.1? (a) -0.4 (b) -2 (c) r
c
Let x be (1/3)/((-25)/45). Let n = 1/10 + x. Which is the nearest to -1? (a) -2 (b) 0.12 (c) n
c
Let d = 0 + 0.4. Let r = d + 0.1. Let z be 3/((-10)/2 - (-8)/2). What is the nearest to 0.1 in z, r, 0?
0
Let d be (-2 + (-4)/(-2))*1/(-1). Let u be (-4 + 19)/3 + -1. What is the closest to d in u, 3, 2/25?
2/25
Suppose -9*z = 14 - 5. Let w be -2*1 + 13*z/(-5). Which is the nearest to 0? (a) -2/3 (b) w (c) -1/6
c
Let g(x) = x**3 + 47*x**2 - 4*x - 191. Let h be g(-47). Let o = 12.94 - 13. Let l = -0.2 - -0.3. Which is the nearest to l? (a) h (b) -0.3 (c) o
c
Let c = -4.11 - -4.3. Let k = c + 0.11. What is the closest to -3/2 in -1, k, 1?
-1
Let k = -36.1 + 36.1. Which is the closest to k? (a) 1.3 (b) 0.5 (c) -1
b
Let t be (0 + 2)*1/7. Let u be 684/(-2520) - 3/(-42). What is the closest to t in -4, 2, u?
u
Let i = -2.73 + 2.6. Let o = -5.13 - i. Which is the nearest to 0? (a) -1/2 (b) 0 (c) o
b
Let l = -62.2 + 52.2. What is the closest to l in -2/5, 3, -0.02, 1?
-2/5
Let h = 13/42 + -1/6. Which is the nearest to 1? (a) -2/7 (b) -3 (c) h
c
Let t = 31 + -31.2. What is the closest to 1/5 in 2, t, -1?
t
Let u = 21.6 - 14.6. What is the nearest to u in 3/7, -2, 0?
3/7
Let r = 48 + -48. Let t = -1 + 1.4. Let u = t - -0.6. Which is the nearest to 0? (a) r (b) u (c) -2/7
a
Let h = 101045/4 - 25401. Let n = h + 139. Let k = 194 - 1549/8. Which is the nearest to 2? (a) k (b) 2/3 (c) n
b
Let d = 3 + -4. Let p = 156 + -784/5. Let q = 0.9 - -4.1. Which is the closest to d? (a) p (b) q (c) 2/19
a
Let a = 24 + -23.9. Let d = -9.02 - -0.02. Let p = d + 12. What is the closest to 0 in a, p, 2/17?
a
Suppose 4*t - 4*b + 0 - 8 = 0, 0 = 3*t - b. Let o = -3.33 - -3.33. What is the nearest to 2 in 1/8, o, t?
1/8
Let q = -0.325 - -0.325. Let i = -5 - -4.4. Let r = i - -0.5. Which is the closest to 0.3? (a) 1 (b) q (c) r
b
Let v be ((-66)/55 - (-102)/(-15)) + -3. Which is the closest to 0.1? (a) -5 (b) v (c) 4
c
Suppose -5*u = -u. Suppose -4*j - 3 - 7 = -2*z, -2*j - z + 1 = u. Let d be (-5 - -1)*((-207)/42 - -5). What is the closest to j in 1, d, 0?
d
Let g = 24 + -23.7. Let z = 3.3 - g. Let y = 0.55 + -0.05. Which is the closest to -1? (a) y (b) -0.01 (c) z
b
Let k = -833/338 + -6/169. Let y = 0.04 - 0.34. Let o = 0.1 - 0.2. What is the closest to o in y, k, -2/3?
y
Let l be 2 - (-5)/(30/(-9)). Let v = -7.85 - 0.15. Suppose 3*h + 3*s + 24 = 0, -24*s = 2*h - 27*s - 4. What is the nearest to 0.1 in v, l, h?
l
Let k be (9/(-21))/(3/2). Let z(n) = n**2 - n - 2. Let g be z(0). Let j be 5/g - 3/(-2). What is the closest to -1/4 in 5, j, k?
k
Let p be 1512/495*170/4. Let k = 130 - p. Let m be 26/(-4) - 1/2. What is the closest to 0 in -4, k, m?
k
Let h = 22/7 + -65/14. Let p = -1.73 + -0.27. Which is the nearest to 0.2? (a) p (b) h (c) 2
b
Let u = -145 + 94. Let p = u - -50.5. What is the nearest to -2/3 in 18, p, 0.5?
p
Let d = -0.9 - 0.1. Let m = 2.741 + 0.259. Which is the nearest to d? (a) -3 (b) -3/2 (c) m
b
Suppose 3*f = 10 + 2, 0 = u + 5*f - 15. Let t = 15 + u. Let p be (6/(-9))/(t/15). What is the closest to -2 in -0.1, -5, p?
p
Let m = 1.25 - 1.15. Which is the closest to m? ( | {
"pile_set_name": "DM Mathematics"
} |
is the tens digit of g?
2
Let d be (-4)/18 + 266/63. Suppose -d*o - 2*t = 42 - 152, -4*t = -5*o + 170. What is the tens digit of o?
3
Let k be (6 + 1)/(1/3). Suppose -12 = -o + m - 3*m, -3*o = 3*m - k. What is the units digit of (-50)/(-6) + o/(-6)?
8
Suppose 4*v - a = 4*a + 73, 3*a = -2*v + 31. What is the tens digit of -4 + v + (-6)/2?
1
Let p be (-2)/((-2)/7) + 1. Let r be p/36 - 86/(-18). Suppose -v - 5*o - 8 = -3*v, v - 2*o - r = 0. What is the units digit of v?
9
Let v be 24/9 + 4/(-6). Suppose 3*r - v*g - 38 = 0, -g - 15 - 10 = -2*r. What is the tens digit of r - (-1 - (1 + -2))?
1
Suppose 0 = 5*f - w - 373, -4*w + 1 + 7 = 0. Let n = f + -54. What is the tens digit of n?
2
Suppose -4*x + 56 = -0*x. Let y = 2 + x. What is the tens digit of y?
1
Let q = 36 - 0. Suppose -5*y = -q - 19. What is the tens digit of y?
1
Let w = 8 - 11. Suppose 0 = -5*x - 4*g - 120, 6*x + 48 = 5*x + 4*g. What is the tens digit of w/(90/x - -3)?
1
Suppose 2*c - 26 = 5*x, 5*x + 1 = 4*c - 31. What is the units digit of 23 + (3 + x - 0)?
2
Let m = 10 + -5. Suppose 2*c - x = c + 25, 4*c - 64 = -m*x. What is the tens digit of c?
2
What is the tens digit of (-11)/(-11) + (-236)/(-1)?
3
Let j = -232 - -473. What is the tens digit of j?
4
Let i = -8 + 13. Suppose i*k - 10 = -0. What is the units digit of k?
2
What is the units digit of 42/9 - 3/(-9)?
5
Suppose 5*m + 2*l = 682, -3*m - 38 + 441 = -5*l. What is the tens digit of m?
3
Let v = 15 + -10. Suppose -v*l + 86 = -149. What is the units digit of l?
7
Let r(d) = -d**2 - 9*d + 3. Let p be r(-9). Suppose p*a + 5*h - 29 = -0*a, -20 = -5*h. Suppose -3*q = 0, 0 = -5*i + a*q - 1 + 6. What is the units digit of i?
1
Suppose -10*g = -1751 + 361. What is the units digit of g?
9
Suppose 4*y - 1359 = -5*y. What is the hundreds digit of y?
1
What is the hundreds digit of (4/7 - (-88)/(-56)) + 137?
1
Let d = -45 + 89. Suppose -t - 15 + d = 0. What is the units digit of t?
9
Suppose 0*b - 5*b = 170. Let t be 4/(-6) - b/6. Suppose 4*x - 8 = 5*p, -3*x + 3 = -t*p + 2. What is the units digit of x?
7
Suppose -2*n + 2*r + 218 = 0, 2*n - 2*r = -4*r + 226. What is the hundreds digit of n?
1
Let l(h) = 3*h - 3*h + 2*h - h + 1606. Let z be l(0). What is the units digit of (-4)/18 - z/(-99)?
6
Let f = -57 - -85. Let w = -7 + f. Suppose -6*b + 3*b + w = 0. What is the units digit of b?
7
Let i(o) = o + 1. Let t be i(5). What is the units digit of 1 - t*(-6)/4?
0
Let x be ((-3)/2)/((-3)/2). Suppose d - 4 + x = 0. Let m = 3 + d. What is the units digit of m?
6
Let l(j) = -j**2 + 5*j + 4. Suppose -19 = -z + 4*p + 4, 3*z + 3*p = -6. What is the units digit of l(z)?
0
Suppose 3*u - 15 = -3*d, 2*u = -5*d + 8 + 2. Suppose -3*i + 6 + 3 = d. What is the units digit of i?
3
Let l(a) = -4*a**2 + 12*a - 6. Let r(g) = g**2 - 1. Let k(v) = l(v) + 3*r(v). What is the units digit of k(11)?
2
Let m(v) = 4*v + 3 - v - 1 - 4*v. What is the units digit of m(-6)?
8
What is the units digit of 35*2*(-7)/(-14)?
5
Suppose 0*v + 4*v = 76. Let g = v + 15. What is the units digit of g?
4
Let i = 48 - 10. Suppose -5*y + 158 - 23 = 4*o, y - i = -3*o. What is the tens digit of y?
2
Suppose -i - 1824 = -9*i. What is the hundreds digit of i?
2
Let a = 13 - 33. What is the tens digit of (a/3)/(2/(-6))?
2
Suppose 15 = y + 3*t, 3*t - t - 10 = -y. Suppose 0 = w + 3*w + b, -4*w + 3*b - 16 = y. Let u(x) = -6*x + 1. What is the units digit of u(w)?
7
Let j = 28 - 23. Suppose 0*n - 2*u = -2*n + 24, u - 2 = -n. Suppose f + n = -2*s + 20, -60 = -5*f - j*s. What is the tens digit of f?
1
Suppose -5*m - 13 + 3 = 0. What is the units digit of (m + -1 - -4)*8?
8
Suppose 106 = 3*d - 68. What is the tens digit of d?
5
Let o(q) = 6*q**3 - q**2 + q - 1. Let n be o(-2). Let a = -33 - n. Let c = a - 10. What is the tens digit of c?
1
Let b(f) = f**3 - 2*f**2 - 9*f + 12. What is the units digit of b(5)?
2
Let z = 183 - -25. What is the hundreds digit of z?
2
Suppose p + 10 = -r, 3*r - 5*p - 2 = 8. Let x(m) = m**2 + m - 4. What is the tens digit of x(r)?
1
Suppose -5*n + 2*f = -299, -173 - 61 = -4*n - f. Let d = n - 35. Suppose -6*a = -2*a - d. What is the units digit of a?
6
Let c(u) = u**2 + 6*u - 1. Let t be c(-6). Let w(z) = -31*z - 1. What is the units digit of w(t)?
0
Let c = 1 + 8. Let x(q) = -q + 1. Let r be x(4). Let j = c + r. What is the units digit of j?
6
Let y(a) = 7*a - 7. Let j = -13 + 20. What is the tens digit of y(j)?
4
Suppose -3*d - 27 = -1215. What is the hundreds digit of d?
3
Suppose -3*n - 45 + 159 = 0. What is the units digit of n?
8
Suppose -60 + 237 = 3*t. What is the tens digit of t?
5
Let u(p) = -2*p - 3. What is the units digit of u(-5)?
7
Suppose -3*r - 4*k - 10 = k, -2*r = 4*k + 4. Let y = r + 14. What is the units digit of y?
4
Let b = -3 - 1. Let o = b + -3. Let i = o + 11. What is the units digit of i?
4
Suppose -3*c - 13 = -5*k, -3*k + c + 10 = -3*c. Let d be (1 + -11)*k/(-4). Let y(g) = 2*g + 4. What is the tens digit of y(d)?
1
Suppose 2*v - 4*u + 3*u - 791 = 0, 797 = 2*v - 3*u. What is the hundreds digit of v?
3
Let z(m) = m**2 - 1. What is the units digit of z(10)?
9
Suppose 0 = -3*b + b. Suppose z = -y + 10, 2 = y - b*z - z. What is the units digit of y?
6
Let r(l) = l**3 + 5*l**2 - 6*l + 2. Let v be r(-6). Suppose -4*t = -v*t - 70. What is the units digit of t?
5
Suppose -6 = -2*b + 4*i, 4*b + i = -b + 15. Suppose 0*t + 24 = b*t. Let s = 15 - t. What is the units digit of s?
7
Let f be ((-50)/(-4))/(1/6). Suppose -4*x + 1 + 19 = -4*z, -5*x - 5*z = -f. What is the units digit of x?
0
Let j(l) = -l**2 + 8*l - 3. Let d be j(6). Let c = 1 - -12. Suppose 0 = 5*m + 4*p - c, 6*m = 3*m - 3*p + d. What is the units digit of m?
1
Let j = 9 + -6. Suppose 2*s - j = -s. What is the units digit of s?
1
Let b be (2/(-6))/(5/345). What is the units digit of (b/3)/(5/(-15))?
3
Let m(l) be the second derivative of l**4/6 - l**3/2 - 3*l**2/2 - 2*l. Let i(u) be the first derivative of m(u). What is the units digit of i(2)?
5
Suppose 0 = -3*r + r + 24. Suppose -j + 5*n - 4*n = -3, -2*j = 4*n + r. Suppose -3*m + j*m + 12 = 0. What is the units digit of m?
4
Let u = 3 - 8. Suppose 0 = -2*s + 5*z - 61, z + 3*z = 2*s + 60. What is the units digit of s/u - (-4)/10?
6
Let g(i) be the third derivative of i**6/120 + i**5/20 - i**4/24 + i**3/3 + 2*i**2. What is the units digit of g(-2)?
8
Let y(a) be the first derivative of a**3/3 + 9*a**2/2 - 3. What is the units digit of y(-13)?
2
Let i = 19 + -2. What is the units digit of i?
7
Let a(t) = -5*t - 11. Let g(p) = -11*p - 22. Let f(i) = -13*a(i) + 6*g(i). Suppose 0 = -5*d + s + 20, -5 - 10 = d - 4*s. What is the units digit of f(d)?
6
Suppose -8 = -4*c + 12. Suppose c*p - 3*p = 14. What is the units digit of p?
7
Let q(j) = 3*j**2 - 18*j - 8. What is the tens digit of q(8)?
4
Let k be (-4)/18 - (-282)/54. Suppose 5*h = u + 4, -4*u + 17 = -2*u - k*h. What is the units digit of u?
1
Let s(u) be the second derivative of u**4/12 + u**2/2 - u. Let o be s(2). Suppose 0*z - 2*z - 14 = -2*h, 4*z = -o*h + 35. What is the units digit of h?
7
Let p = -10 - -7. Let v(z) = -4*z - 2. What is the tens digit of v(p)?
1
Let s(c) = 2*c**2 + 5*c. Let j be s(5). Suppose -5*u = -z + j, 4*z = -5*u + u + 324. Let d = z + -57. What is the units digit of d?
3
Let n = 39 - 16. What is the units digit of n?
3
Let q be 2 - 3/((-9)/6). Let d(v) = -v + 9. Let m be d(4). Suppose q*u = -5*r + 11, u + r - m = -2. What is the units digit of u?
4
Let k(u) = u**2 + u + 23. Let f be k(0). Let v = f + -6. What is the tens digit of v?
1
Let h(u) = u**2 - 4*u - 2. What is the tens digit of h(6)?
1
Let k(h) = 253*h**3 + h**2 + 4*h - 5. What is the tens digit of k(1)?
5
Let y = -3 - -3. Suppose 4*d - 2 - 6 = y. Suppose -d*c - 4*x - 4 + 12 = 0, c = 2*x. What is the units digit of c?
2
Let c(w) = w - 6. Let j be c(6). Let q = j + 16. What is the units digit of q?
6
Suppose -7*t + 4879 = 10*t. What is the hundreds digit of t?
2
Let b(k) = -5*k - 2. Suppose 4*v + 6 = 2. What is the units digit of b(v)?
3
Let z(k) = k. Let b(d) = 3*d - 12. Let c(f) = -b(f) + 4*z(f). Let n be c(-9). Suppose 5*w = n*x + 2*w, 15 = 5*w. What is the units digit of x?
3
What is the units digit of (138/18)/(2/6)?
3
Suppose -7*f = -4*f - 6. Suppose -3*i + 17 + 10 = 3*b, -22 = -3*b - 2*i. Suppose - | {
"pile_set_name": "DM Mathematics"
} |
= -o**3 - 9*o**2 - o + 8. Give p(r).
17
Let b(r) be the third derivative of r**5/30 + r**4/24 + 5*r**2 + r. Let q(p) = -2*p - 15. Suppose -2*w = 7 + 7. Let c be q(w). Give b(c).
1
Suppose 2*v = -2*s + 28, 50*v - s = 49*v - 4. Let w(q) = -2*q**2 + 19*q - 13. Let h(u) = u**2 - 9*u + 6. Let k(n) = -5*h(n) - 2*w(n). Determine k(v).
6
Let r(k) = -244*k**2 + 245*k**2 + 431 + 141 + 62*k. Calculate r(-51).
11
Let n(u) = 5*u + 47. Let g(v) = -5*v - 48. Let w(b) = -4*g(b) - 5*n(b). Determine w(-17).
42
Let x(b) = b**2 - 6*b - 1. Let i = 256 - 224. Suppose -2*s - 15 = -h - 1, 5*s = 2*h - i. Determine x(h).
-1
Suppose -3*p - 4*n + 46 = 0, -12*p - 4*n + 32 = -10*p. Let l(w) = -33 - p*w + 36*w + 32. Give l(1).
21
Let f(j) be the second derivative of 1/20*j**5 - 4/3*j**3 - 8*j + 0 - 5*j**2 + 7/12*j**4. Suppose -64*m - 21*m = 680. Give f(m).
-10
Let k(n) = 8*n + 53. Let m be (2 - (-45)/30)/(((-5)/10)/1). Calculate k(m).
-3
Let t = -4 + 7. Let r(i) = -18*i**3 + 0 + 3*i**t - 2*i + 1 + i**2. Suppose 29*j - 12 = 17. Determine r(j).
-15
Let u(j) be the first derivative of -j**3/6 - 13*j**2 + 20*j + 102. Let d(k) be the first derivative of u(k). Give d(-22).
-4
Let p be (-1060)/(-3)*8/((-96)/18). Let z = p - -532. Let k(j) = 4*j**2 - 4*j + 3. Calculate k(z).
11
Let z be (-3)/(-2) - 3915/(-90). Let s(j) = 81*j + 6 - z*j - 37*j. Calculate s(5).
1
Let z(n) = -2*n**2 - 24*n + 18. Suppose -452 = -3*b - j - 485, 0 = b + 4*j - 11. What is z(b)?
-8
Let n(h) = -h + 15 - 31 + 11*h. Let p be n(4). Let u(f) = p + f + 2*f - 23 - f. What is u(-2)?
-3
Suppose 571 = -h - 38. Let c = h - -606. Let p(y) = 2*y + 4. What is p(c)?
-2
Let q = -26 + 29. Suppose 0 = 5*m, -1 = -p + q*m + m. Let w(j) = 49*j**2 + 5*j + 3. Let z(f) = 24*f**2 + 3*f + 2. Let g(y) = 3*w(y) - 5*z(y). Determine g(p).
26
Suppose -57*r + 60*r - 4*x = 8, -r = -5*x - 10. Let q(t) = 11*t. Give q(r).
0
Let w(p) = -2*p**2 + 7*p + 1. Let o be -90*(30/(-12))/5. Let a = -39 + o. Determine w(a).
-29
Let t be (9/36)/((-23)/276). Let f(n) = -n + 1. Let d(h) = -2*h + 2 + 0*h - 2*h. Let r(j) = -2*d(j) + 7*f(j). Calculate r(t).
0
Let f(x) be the first derivative of -x + 1/4*x**4 - 7/3*x**3 + 3 + 4*x**2. Suppose h + 433 = 439. What is f(h)?
11
Suppose 0 = 2*q + 32 - 36. Suppose -2*n - 2*n - q*j + 28 = 0, n = -5*j + 7. Let b(h) = 0 + 3 - 7*h**2 + h**3 + 5 + 0. Calculate b(n).
8
Let r(g) = -4*g**3 + 265*g**2 + 56*g + 13. Let b(n) = n**3 - 59*n**2 - 13*n - 3. Let p(t) = 9*b(t) + 2*r(t). Suppose 9 + 3 = 3*s. Calculate p(s).
27
Let a(b) = 35*b**2 + 47*b - 543. Let i(h) = 18*h**2 + 1. Let k(l) = -a(l) + 2*i(l). What is k(21)?
-1
Let x(p) = -632*p - 632*p - 619*p - 631*p - 2 + 2481*p. What is x(-1)?
31
Suppose -4*n = n + 30. Let l(s) = s**2 + 86*s - 3. Let f(g) = -g**2 - 127*g + 5. Let m(q) = 2*f(q) + 3*l(q). What is m(n)?
13
Let j(z) be the second derivative of -1/3*z**3 + 27*z - 3*z**2 + 0. Let t be j(0). Let u(v) = v + 1. What is u(t)?
-5
Let m(c) = -5*c + 2*c - 8 + 5*c + c + 6. What is m(-6)?
-20
Let h(u) = -u**3 + 25*u**2 + u - 25. Let x = 689 - 664. Determine h(x).
0
Suppose -40*a + 747 = 43*a. Let l = 2 + 9. Suppose l = -2*g + a. Let c(i) = -5*i - 1. Determine c(g).
4
Let o(t) be the second derivative of -t**3/3 - 5*t**2 + 12*t - 4. Let u be (-18)/15*(-10)/4. Let i = u - 11. What is o(i)?
6
Let z(f) = f**3 + 9*f**2 - 3*f + 12. Suppose 116 - 256 = 52*m + 224. Give z(m).
131
Let b(k) be the first derivative of k**4/4 + 14*k**3/3 + 15*k**2/2 + 25*k - 163. Let v be b(-13). Let w(y) = -8*y**2 - 2*y - 1. Give w(v).
-7
Let d(t) = -1 + 3*t**2 + t**3 + t + 0 - 2*t**2. Let f be d(1). Let o(g) be the second derivative of -7*g**3/6 + g + 16. Give o(f).
-14
Let q(d) = -8*d**3 - 2*d**2 - 5*d + 3. Let w be q(-2). Let s(g) = -w*g - 71*g + 4 + 139*g - 3. Calculate s(9).
-8
Let r(a) = a**3 - 7*a**2 - 5*a + 58. Let j(x) = 400*x + 14404. Let b be j(-36). Give r(b).
-10
Let i be (-36)/72*(-2 + 16) - -10. Let u(j) be the first derivative of 10*j + 5 - 7/3*j**i + 1/4*j**4 - 3/2*j**2. Calculate u(7).
-11
Suppose -3*r - 2*g + 241 = 0, -3*g + 5*g + 174 = 2*r. Let b(l) = -66*l**2 + 4*l - l - 2*l + r*l**2. Calculate b(1).
18
Let w(p) = 2*p - 10. Let c(r) = -2*r**2 + 35*r + 14. Let f be c(18). Let s be (-9)/(-18) + 30*(-1)/f. Determine w(s).
6
Let g = -55 - -106. Let o = -45 + g. Let x(n) = 6*n - o*n - 2*n - 13 + 3*n. What is x(0)?
-13
Let w(t) = 4*t. Suppose 5*v = -2*f + 9, -5*v = -0*f + f - 7. Let u be v*-3 - (-33 + 40). Calculate w(u).
-40
Let n(z) = -z**3 + 7*z**2 - 6*z + 1. Suppose 5*w - 67 - 183 = 0. Let d = 66 - w. Suppose -4*l - 3*q + q + 28 = 0, -3*l + q + d = 0. Give n(l).
1
Let m(l) = -7*l + 175. Let o be m(24). Let q(u) = 8*u - 72*u**2 + 22*u**2 - 4 + 20*u**2 + 29*u**2. Determine q(o).
3
Suppose -2*m = 3*m + 5. Let d(b) = b**3 - b**2. Let s(f) = 3*f**3 + 68 - f**2 + 67 - 2*f**2 - 134. Let a(x) = -2*d(x) + s(x). Give a(m).
-1
Let y(j) = 10*j - 3. Let a(t) = t - 1. Let x(m) = 3*a(m) - y(m). Let h be (-1)/(-8) - (7 + 906/(-48)). Let c be 6/h - 18/(-12). Give x(c).
-14
Let y(a) = -2*a**3 - 2*a**2 + 1. Let n(c) = 16*c**3 + 9*c**2 + 3*c - 3. Let r(k) = -n(k) - 7*y(k). Calculate r(2).
-6
Let j be (30/8)/(560/1344). Let n(w) = -j + 134*w + 135*w - 270*w. Give n(9).
-18
Let x(s) = -s**3 + 2*s**2 + 2*s + 1. Let g(u) = 4*u**2 - 13*u - 10. Let q be g(4). What is x(q)?
5
Let n(p) = -8*p**2 + 9*p - 19. Let r(a) = 7*a**2 - 9*a + 18. Let t(b) = -6*n(b) - 7*r(b). Suppose -4*y - 3*c + 26 = -9, -3*c - 29 = -4*y. Give t(y).
-4
Let j(k) = k**2 + 10*k + 9. Suppose 2*f - l + 31 = 688, 2*f - 653 = -3*l. Suppose -f = -0*d + 41*d. Determine j(d).
-7
Let a be 4 + -6 + 8 + 1. Let s(g) = -21*g + 11*g - 7 - 3 - 3*g. Let p(h) = -5*h - 5. Let k(u) = 5*p(u) - 2*s(u). Determine k(a).
2
Let i(z) = z**2 + 10*z + 11. Suppose -36*k - 26*k - 546 = 12. Give i(k).
2
Let o(v) = -v**3 - 4*v**2 + 2*v + 4. Let j = 33 + -31. Let g(f) = 0 + 6*f**j + 2 - 7*f**2 + 15*f + 10. Let a be g(16). Give o(a).
-4
Let d(y) = -15*y**3 - y**2 - y - 1. Let g = 75 - 67. Let i = 108 + -109. Let m be (i/(-2))/((-4)/g). Give d(m).
14
Let y(x) be the first derivative of x**2/2 - 4*x + 6. Let z(u) = -u**3 - 90*u**2 + 95*u + 359. Let j be z(-91). Calculate y(j).
-9
Let a(m) be the third derivative of -1/3*m**3 + 0*m - 1/12*m**4 + 0 - 8*m**2. Suppose -2 + 5 = -b. Give a(b).
4
Let f(s) = -2278 - 2*s - 4*s + 5*s - 2284 + 4559. Let g = 0 + 5. Suppose -g*m - 7 = y, -m + 6*m = -10. Give f(y).
-6
Let b(o) = 0 - o**3 + 0 + 4*o**2 + 0 + 5*o. Let u = -466 - -471. Give b(u).
0
Let h(g) = -g**3 + 40*g**2 + 84*g + 24. Suppose 3*y - 5*c - 156 = 0, -33*y = -30*y - 3*c - 144. Calculate h(y).
24
Let l = -3 - -9. Let k(y) be the first derivative of -y**3/3 + 4*y**2 - y - 8474. Calculate k(l).
11
Let g = -932 + 936. Let r(j) = -j**3 + 5*j**2 + j - 32. Determine r(g).
-12
Let p(i) be the second derivative of -i**5/20 + 7*i**4/12 + 3*i**3 - 8*i**2 + 89*i + 9. Give p(8).
64
Let j(t) be the first derivative of -t**4/12 + 5*t**3/6 - t**2/2 + 71*t + 76. Let l(d) be the first derivative of j(d). Determine l(5).
-1
Let i be 2*(-5 + 25/10). Let f(k) = 4*k - 4 - 4 + 3*k - 9*k. Determine f(i).
2
Suppose -39 = -4*c + 21. Suppose -c*r = -17*r + 90. Let k = r + -50. Let b(n) = n**2 + 4*n + 1. Calculate b(k).
6
Let v(y) = -2*y**2 - y + 17. Suppose 13*t + 161 - 77 = -t. Give v(t).
-49
Let y(w) = 4*w + 36. Let f(j) = -j + 7. Let p(d) = -15*f(d) + 3*y(d). Give p(3).
84
Let s = -11 - -6. Let d = s + 9. Let m(b) = b**3 - 7*b**2 + 4*b + 3. Let h(w) = -2*w**3 + 15*w**2 - 9*w - 8. Let y(k) = -3*h(k) - 7*m(k). Determine y(d).
-1
Suppose 2*s - 24 = 4*u, 0 = 3*s + 5*u + 3 - 6. Let z(m) = s*m + 26 + 1 + 2*m - 7*m. What is z(-20)?
7
Suppose 11 = i - 5*q - 4, 0 = -3*i - q + 93. Let u(y) = 2*y**2 - y. Let j be u(-2). Suppose -j*o = -5*o - i. Let h(w) = -w**3 + 7*w**2 - 9*w + 2. What is h(o)?
-16
Let c be ((-276)/(-6))/1*(-9)/6. Let n be (c + 1)*(4 + 204/(-48)). Let l(a) = -a**2 + 17*a + 9. What is l(n)?
9
Let f(x) = 2 + 84*x - 7 - 83*x + 5 - 5. What is f(5)?
0
Suppose 3*z + 403 = 217. Let c be 1/((93/z)/((-6)/4)). Let j(t) = 9*t + 2. Determine j(c).
11
Let u = -5632 - -5636. Let c(n) = n**3 - 4*n**2 - 4*n + 1. What is c(u)?
-15
Let m(g) = 42*g + 183. Let j(s) = -s**3 - 6*s**2 - 98*s - 592. Let d be j(-6). What is m(d)?
15
Suppose 0 = -4*r + 5*t - 44, -2*r + | {
"pile_set_name": "DM Mathematics"
} |
l**(-4)/l*l)/l)/l*l)*l))/(l**0*l*l**(-1/2)) assuming l is positive.
l**(-59/18)
Simplify i*(i/i**(-3/2))/i*i**(-2)/i assuming i is positive.
1/sqrt(i)
Simplify t/t**(2/11)*t**(6/11) assuming t is positive.
t**(15/11)
Simplify ((b**(3/10)*b)/b*b*b**(-4/5))/(b**(-7)*b**(-1/4)*b) assuming b is positive.
b**(27/4)
Simplify (m**(-2/5)*m**(-1/6))/(m**(-1)/m*m**5/m*m*m) assuming m is positive.
m**(-137/30)
Simplify (v/(v*v*(v*v*v**(-2/19)*v)/v*v*v)*v)/(v**(-1/2)/v)*v**4*v*v**(2/5) assuming v is positive.
v**(571/190)
Simplify (((t**5*t)/t*t)/t**(-10))/(t*t**(3/2)/t*t)**(-2/7) assuming t is positive.
t**(117/7)
Simplify m**4*m**(-7)/m*(m*m*m/(m**(-1)*m))/(m**(-3/5)*m) assuming m is positive.
m**(-7/5)
Simplify ((w/(w/w**2))/w**2)/(w/(w/w**(-2/3)))**(1/99) assuming w is positive.
w**(2/297)
Simplify (f**(-5)/(((f*f*f/f**2)/f)/f))/((f/(f/(f**(-4)/f*f)))/f*f**(-3)*f) assuming f is positive.
f**3
Simplify ((r/(r*r*r**(-1/2)))**(-11/4))**42 assuming r is positive.
r**(231/4)
Simplify a**1*a**27 assuming a is positive.
a**28
Simplify w**(-9)/(w/((w/w**(-1/11))/w)) assuming w is positive.
w**(-109/11)
Simplify ((g**(-1/8)/g)**(-21))**(1/11) assuming g is positive.
g**(189/88)
Simplify (h**(-3/8)*h/h**(-3)*h)/(h**(3/4)/(h/(h**1/h))) assuming h is positive.
h**(39/8)
Simplify (f**(-3/4)*f**(-5))**(-10) assuming f is positive.
f**(115/2)
Simplify ((y*y/y**(2/35))/y)**(-7/8) assuming y is positive.
y**(-33/40)
Simplify (y*y**20)/y**(-12) assuming y is positive.
y**33
Simplify (d**(1/3)*d**(-2/13))**(-50) assuming d is positive.
d**(-350/39)
Simplify t/t**(-17)*t*t**2/t*t assuming t is positive.
t**21
Simplify (((p**0/p)/p)/((p/p**(-2/13))/p*p))/(p**(1/3)/p*p*p**(1/7)*p) assuming p is positive.
p**(-1264/273)
Simplify (y/(y*y**(2/5)))**(4/35)*y**(-1)/y**5 assuming y is positive.
y**(-1058/175)
Simplify (b**(2/3)/(b*(b*b*b**4)/b))/(b**0)**(-2/3) assuming b is positive.
b**(-16/3)
Simplify (f**0/f)/(f*f**2)*(f*f**1)/f**(-5) assuming f is positive.
f**3
Simplify s/s**(-9)*s**(2/11) assuming s is positive.
s**(112/11)
Simplify (n/((n/n**(-6)*n*n)/n))**(-27) assuming n is positive.
n**189
Simplify c**(1/3)*c*c/(c/((c/c**11*c)/c)) assuming c is positive.
c**(-26/3)
Simplify f/(f/((f**(-1/4)/f)/f))*f*(f/((((f/(f*f*((f*f*f/f**16)/f)/f*f*f*f))/f)/f)/f))/f assuming f is positive.
f**(-37/4)
Simplify ((j*j**(2/15))/(j**5/j))/(((j/j**(2/7))/j*j)/j**(3/5)) assuming j is positive.
j**(-313/105)
Simplify (o**3)**(-1/2)/(o*o**(-2/3)/o)**(36/7) assuming o is positive.
o**(27/14)
Simplify (((q*q*(((q*q/(q*q**(3/13)))/q)/q)/q)/q)**(1/12))**18 assuming q is positive.
q**(-24/13)
Simplify z/(z/(z**6/z))*z*z**(-1/4)*((z/(z*(z/((((z/(z**5*z))/z)/z)/z))/z))/z)/(z*z*z*z**(5/3)*z*z*z) assuming z is positive.
z**(-131/12)
Simplify p**(2/9)/p**(-1)*(p/((p/(p/(p*p/p**3)))/p*p))/((p**(-1/4)*p)/p) assuming p is positive.
p**(125/36)
Simplify ((w*(w**(4/9)/w)/w)/(((w**(2/3)/w)/w)/w))/(w**1)**(2/17) assuming w is positive.
w**(254/153)
Simplify m**(-9)/(m**14*m) assuming m is positive.
m**(-24)
Simplify l*l**21*l**(-10/13) assuming l is positive.
l**(276/13)
Simplify x**(3/8)/x**12 assuming x is positive.
x**(-93/8)
Simplify ((r/r**(-1))**(-41))**(2/189) assuming r is positive.
r**(-164/189)
Simplify (k**(20/9)/k)/(k*k**(6/23)/k) assuming k is positive.
k**(199/207)
Simplify (m**(-1/9)*m*m*m*m**(-7)/m)**(7/4) assuming m is positive.
m**(-161/18)
Simplify ((o/(o**(-2/5)/o))/o*o*o**(-4))/((((o**(-5)*o)/o)/o)/((o**(3/10)*o)/o*o)) assuming o is positive.
o**(57/10)
Simplify q**12/q*q*q**(-6) assuming q is positive.
q**6
Simplify (l*l*l**1)**20/(l*l**(-2/3))**(-2/11) assuming l is positive.
l**(1982/33)
Simplify u*u/(u*u**8/u)*((u**(-4/19)/u)/u)/u assuming u is positive.
u**(-175/19)
Simplify (((t*t**(-3))/t)/t**2)/(t/(t/(t*t**(-2/7)*t)))**(-10) assuming t is positive.
t**(85/7)
Simplify (m**(-5/6))**(-2/75) assuming m is positive.
m**(1/45)
Simplify l**(15/2)/l**(-12) assuming l is positive.
l**(39/2)
Simplify i**10*i*i**(-16/7) assuming i is positive.
i**(61/7)
Simplify ((i**(-3/5)*i*i)/i**0)**41 assuming i is positive.
i**(287/5)
Simplify ((x/(x*(((x/(x/((x*x**(-3))/x))*x)/x)/x)/x)*x)/x*x*x/(x/((x**(-2/7)*x)/x)*x))/(x**(1/6)*x*x*(x**(1/5)*x)/x) assuming x is positive.
x**(493/210)
Simplify ((y**(-13/2)/y)/y)/y**(1/5) assuming y is positive.
y**(-87/10)
Simplify (s**(-1/50)/s)/((s*s**(-5))/s) assuming s is positive.
s**(199/50)
Simplify ((h*h*h**(-4))/h**(-6))/(h**4*h/h**(-4)) assuming h is positive.
h**(-5)
Simplify (r**(-10)*r**(-6/11))/(r**2/r**(-3/4)) assuming r is positive.
r**(-585/44)
Simplify (l**(-1))**(38/3)*(l*l*l**(-1))**(8/5) assuming l is positive.
l**(-166/15)
Simplify ((z*z**1*z)**(7/6))**(-13) assuming z is positive.
z**(-91/2)
Simplify (w**(1/3)/(w*w**(-4/3)/w*w))**(-2/5) assuming w is positive.
w**(-4/15)
Simplify (a/(a*a/(a*a**0*a)))**(-39)/(a/(a*a/(a/((a/(a/(a**6*a)))/a)))*a**(4/7)) assuming a is positive.
a**(-235/7)
Simplify (((h**(-11)/h*h)/h)/h*h)**50 assuming h is positive.
h**(-600)
Simplify (((d*(d/(d**(2/5)*d))/d*d)/d)/((d/((d**(-2/9)/d)/d*d))/d))**(-12/13) assuming d is positive.
d**(292/195)
Simplify (i/(i/(i/(i*i**(-1/4)*i*i))))/i*(i/(i/(i**(6/11)/i)*i))/i*i**(-1/7)/i*i**2 assuming i is positive.
i**(-1339/308)
Simplify (s*s**(-10/7)*s)/((s/s**(-13))/s) assuming s is positive.
s**(-87/7)
Simplify (f**(-5/2)/f)/f**(-23) assuming f is positive.
f**(39/2)
Simplify (x/(x*x/x**(2/5)))**(4/23)/(x**(-2/27)*(x**0*x)/x) assuming x is positive.
x**(-94/3105)
Simplify (y**(12/11)/y)/(((y**1*y)/y)/y*y) assuming y is positive.
y**(-10/11)
Simplify x/(x**5*x)*x*x*x*x**(1/5)*((x**(1/2)/x)/x)**(-31/5) assuming x is positive.
x**(15/2)
Simplify ((p*p**(3/7))/(p*p/((p**(-15/7)*p*p*p)/p)*p*p*p*p))**(-42) assuming p is positive.
p**198
Simplify k*k**0*(k*k/k**(-5/3)*k)/k*k assuming k is positive.
k**(17/3)
Simplify (h**(-2/5)/h)**(-3/13)/((h/((h*h**1)/h))/h)**(2/41) assuming h is positive.
h**(991/2665)
Simplify (v**(1/3)*v*v*v**(-2))**(19/2) assuming v is positive.
v**(19/6)
Simplify (j**(1/9)*j)/j**(-23/4) assuming j is positive.
j**(247/36)
Simplify (z/z**2)**49/(z*z*z**(2/5)*z*z)**49 assuming z is positive.
z**(-1323/5)
Simplify (n/(n/n**6))/(n/(n*n*n*n/(n**(-1/3)/n)*n)*n)*((n/(n**(-1)/n*n))/n)**(-39) assuming n is positive.
n**(-86/3)
Simplify (j**(-10))**(-3/13) assuming j is positive.
j**(30/13)
Simplify (s/(s/((s*s**11/s)/s*s)))/(s*s**(-5)) assuming s is positive.
s**15
Simplify ((d**(2/35)*d*d)/d)/((d**34*d)/d) assuming d is positive.
d**(-1153/35)
Simplify (t*(t*t/t**(-3)*t)/t)/(t/(t/((t*t*t*(t**(-2/13)*t)/t)/t)))*t**3*t*t**7/t assuming t is positive.
t**(184/13)
Simplify (h**(-2/3)/h)**(-25/2)/(h/h**(1/4))**(-21/5) assuming h is positive.
h**(1439/60)
Simplify m**3*((m/m**(-2/17)*m)/m*m)/m*m*m**(-1/10)*m*m/m**(-1/2) assuming m is positive.
m**(639/85)
Simplify (j/j**(2/25))**(-3) assuming j is positive.
j**(-69/25)
Simplify (p**(1/2))**(-2/9)*(p/((p*p**(-3))/p)*p)/(p*p**2*p) assuming p is positive.
p**(8/9)
Simplify ((b*b/(b/(b**(-4)/b)))/b**5)**(4/13) assuming b is positive.
b**(-36/13)
Simplify g*g/g**(2/5)*g/(g/g**6)*g*g assuming g is positive.
g**(48/5)
Simplify (u/(u*u**(15/2)*u))/u**6 assuming u is positive.
u**(-29/2)
Simplify (g/((g/(g/g**(-2/5)*g))/g*g)*(g*g*g/g**(1/8))/g)/((((((g/(g**7/g))/g*g)/g)/g)/g)/(g/(g*g**(-3/7))*g)) assuming g is positive.
g**(3837/280)
Simplify (i/((i/(i/(i*i**0/i*i)))/i))**34 assuming i is positive.
i**34
Simplify ((a**(1/12)/a)/a**17)**(-5/4) assuming a is positive.
a**(1075/48)
Simplify (m**(1/7))**(-40) assuming m is positive.
m**(-40/7)
Simplify (z**(1/4))**(-4/13) assuming z is positive.
z**(-1/13)
Simplify g/(((g*g**(6/5))/g)/g)*g*g**(-4/5) assuming g is positive.
g
Simplify (w**(-1/13)*w)/(w/(w/(w/w**(-10/9)))*w) assuming w is positive.
w**(-256/117)
Simplify (m**(2/19)*m)**49 assuming m is positive.
m**(1029/19)
Simplify ((t*(t**28/t*t)/t)/t)/t*t*t*(t/(t/(((t**(-21)*t)/t)/t)))/t assuming t is positive.
t**5
Simplify x**(-12)/(x*x*x**(2/9)/x) assuming x is positive.
x**(-119/9)
Simplify ((m**9/m*m)/(m*m**10))/((m*m**3*m*m)/m**(1/4)) assuming m is positive.
m**(-31/4)
Simplify (f**(1/4)*f)**(-7/2)*(f**(1/6))**(1/21) assuming f is positive.
f**(-2201/504)
Simplify h**4/(h*h**(-9)) assuming h is positive.
h**12
Simplify (((p*p**(- | {
"pile_set_name": "DM Mathematics"
} |
50 = -27*i. What is the greatest common divisor of i and 30?
10
Let v = 90 + -52. Suppose 5*x - 175 = -2*m, -4*x + 0*x - 297 = -3*m. What is the highest common divisor of v and m?
19
Let y = -9 + 10. Suppose -n + y = -2. What is the greatest common factor of 24 and n?
3
Suppose 0 = -4*n - 2*k + 4, -2*k = 3*n - 0*n - 5. Let o = n + 4. What is the highest common factor of 2 and o?
1
Let b = -561 - -840. Suppose -5*m = 0, -4*k - 88 = -2*m - 852. Let y = b - k. What is the greatest common factor of y and 11?
11
Suppose -4*j + 8 = 3*w, w = 2*j - j - 9. What is the greatest common divisor of j and 1?
1
Let n(s) = -s - 3. Let c be n(-7). Let j = 45 + 2. Suppose -41 - j = -c*d. What is the highest common factor of 55 and d?
11
Let w = 56 + -28. Suppose 0 = -t + 3*t - w. Calculate the greatest common factor of t and 56.
14
Let d(f) = f**3 + 11*f**2 + 9*f + 17. Let q be d(-9). Calculate the greatest common factor of 28 and q.
14
Suppose 4*q + 5 - 1 = 0. Let n(s) = -10*s - 1. Let z be n(q). What is the highest common divisor of z and 99?
9
Suppose -5 = 5*w - 0. Let j be 15/6*(1 - w). What is the highest common factor of j and 25?
5
Let d = 41 + 64. What is the highest common factor of 15 and d?
15
Suppose -3*m + 28 - 9 = 4*b, -m + 19 = -5*b. What is the highest common factor of m and 18?
9
Suppose n = 7 + 3. Calculate the highest common divisor of 4 and n.
2
Let o = 6 + 12. Calculate the greatest common divisor of o and 12.
6
Suppose -1 = -2*v - 3. Let d(w) = 2*w + 12. Let a be d(-8). Let z = v - a. Calculate the greatest common divisor of z and 12.
3
Let p(x) = -2*x**3 - x**2 + 2. Let t be p(-2). Calculate the highest common divisor of t and 35.
7
Suppose -3*d = y - 97, -2*y = 6*d - d - 195. Suppose 5*f - 125 = -3*l, 173 = 4*l + 3*f + 10. Calculate the highest common divisor of y and l.
20
Let u = -52 - -107. Let y(v) = v**3 + 14*v**2 + 10*v - 28. Let a be y(-13). Calculate the greatest common divisor of a and u.
11
Let n be 10/3 - (-2)/3. Suppose -3*y - 1 = -4, v - n*y - 7 = 0. Let q(l) = 2*l**2 - 8*l + 9. Let t be q(6). Calculate the greatest common divisor of t and v.
11
Suppose 2*z - 505 = -5*u, -2*z - 102 + 508 = 4*u. Suppose v = -4*q - 0*v + u, -2 = 2*v. Calculate the greatest common factor of q and 10.
5
Let y = 14 - 12. Suppose 2*d + y*d - 32 = 0. Calculate the greatest common factor of d and 12.
4
Let c be 1448/20 - 12/30. What is the highest common divisor of 9 and c?
9
Let w be 2/(-9) - (-11)/9. Suppose 3*d - 8 = w. Let a = 13 - 10. Calculate the greatest common divisor of a and d.
3
Suppose 4*y - r - 39 = 0, -3*y + 4*r = -5*y + 24. Let h be 38/8 - 2/(-8). Suppose 2*d - h = -3*d. Calculate the greatest common factor of d and y.
1
Suppose -6*r = -83 - 133. Calculate the highest common divisor of r and 48.
12
Let i = -83 + 151. Let v be -1 + 4/(16/i). Calculate the greatest common divisor of 176 and v.
16
Let z be 1/(-4) + (-37)/(-4). Let a(t) = t. Let b be a(-3). Let y be (9 - (-6)/b) + 2. What is the highest common divisor of z and y?
9
Let n = -2 + 0. Let b be (n/4)/(2/(-60)). Suppose -7*x + 0 = -105. Calculate the highest common factor of b and x.
15
Suppose -2*s - 14 = -0*t + 3*t, -3*t + 5*s - 49 = 0. Let c = t + 26. Calculate the highest common divisor of c and 2.
2
Suppose 0 = 3*m - 58 - 152. Let t(y) = -y**3 - 8*y**2 - 9*y. Let w be t(-7). Calculate the greatest common factor of w and m.
14
Let a(s) = s + 29. Let d be a(-22). Calculate the highest common divisor of 77 and d.
7
Suppose -4*k + 104 = -2*h, 4*k + h - 113 + 21 = 0. What is the greatest common factor of k and 60?
12
Let j(r) = r**3 + 2*r + 1. Let c be j(0). Let w(y) = -2*y**3 - 3*y**2 - 2*y - 1. Let z be w(-2). Calculate the highest common factor of c and z.
1
Let a(z) = z**3 + 13. Let m be 0 - 0 - (9 + -9). Let p be a(m). What is the highest common factor of p and 39?
13
Let v be (8/(-3))/((-6)/153). Suppose -4*m + 31 + 41 = -4*f, 5*m + 3*f - 82 = 0. What is the greatest common factor of m and v?
17
Suppose -d + 1 = -5. Let r be (-77 + -1)/(d/(-4)). Suppose 2*v - 24 = -o, 0*o - 4*o = 4*v - 44. Calculate the highest common divisor of r and v.
13
Let n = 16 + -9. Calculate the highest common divisor of n and 49.
7
Let c = -1 - -5. Let v = 72 - 36. Calculate the highest common divisor of v and c.
4
Let l be ((-9)/(-15))/((-3)/(-75)). Suppose 0*g - 240 = -2*g. What is the greatest common divisor of g and l?
15
Let q = -5 + 13. Let x = 2 + q. What is the greatest common divisor of 25 and x?
5
Let c = -3 - -3. Let f = c - -3. Suppose -5*v = f*x + 4, -9 = -4*x + 5*v + 44. Calculate the greatest common factor of 1 and x.
1
Suppose 5*t - 1 = 29. Calculate the greatest common factor of t and 30.
6
Suppose 0 = -3*s + 5 + 37. Calculate the highest common factor of s and 14.
14
Let t = 154 - 69. Suppose 42 + 60 = 6*k. What is the highest common divisor of t and k?
17
Let h = -7 - -12. Suppose 27 = h*p - 2*p. What is the greatest common factor of p and 1?
1
Suppose 5*a - 4 = 11. Let y = 33 - 18. What is the highest common divisor of y and a?
3
Suppose 2*t - 120 = -3*t. Suppose 2*g - 262 = -2*p, -5*g + 627 = -p - p. Let r = -67 + g. Calculate the highest common factor of r and t.
12
Let d(y) = -5*y**3 + y + 1. Let t be d(-1). Suppose 206 = t*j - 34. Calculate the greatest common factor of 16 and j.
16
Let a(q) = 7*q**2 - 9. Let p be a(-3). Calculate the highest common divisor of 6 and p.
6
Let y be (4/(-6))/(1/(-105)). Calculate the highest common divisor of y and 10.
10
Suppose 0 = -5*m + 4*h + 3, -m = -5*m + 3*h + 3. Let b be 11 + (-9)/m + -3. Suppose 0 = -0*x + b*x - 180. What is the highest common factor of 12 and x?
12
Suppose 4*j = -5*r - 21 + 61, -4*r + j + 11 = 0. What is the greatest common divisor of r and 36?
4
Let s(m) = -m**3 - m**2 - m - 1. Let y be s(-2). Suppose -3*o - 3*q = -9, -2*q = y*o - q - 31. Let h = 58 + -37. What is the highest common factor of o and h?
7
Let l = -11 - -13. Suppose 2*k - 9 - 4 = 3*j, 5*k - 1 = -3*j. Calculate the highest common factor of k and l.
2
Suppose -4*i - 3*t + 85 = -6, -3*t + 34 = i. Suppose -5*s + 56 = -324. Calculate the highest common divisor of s and i.
19
Suppose -2*f + 5*s = -f - 15, -f + 2*s = -6. Suppose -r - 7 + 52 = f. Calculate the highest common factor of r and 5.
5
Let s be -2 - (0/(-2))/2. Let h = 3 + -5. Let w be s/(-4)*h*-11. What is the highest common factor of w and 33?
11
Suppose -18*n = -17*n - 72. Let l = 146 + -98. What is the highest common factor of l and n?
24
Let q(g) = g**2 - 4*g + 1. Let m be q(6). Let y = -53 + 92. Calculate the greatest common divisor of m and y.
13
Suppose -3*r - 52 = -7*r. Calculate the highest common factor of r and 117.
13
Let s = -131 - -155. Calculate the highest common divisor of s and 56.
8
Let m(d) = -d**2 - 6*d - 2. Let p be m(-5). Calculate the greatest common factor of 27 and p.
3
Let c(b) = 9*b - 6. Let z be c(7). Let a = -17 - -31. Let l = 33 - a. What is the greatest common factor of l and z?
19
Let o(j) = -2*j + 4. Let t(z) = -z**2 + z - 1. Let f be t(2). Let h be o(f). Suppose s - 5 = 10. What is the highest common factor of h and s?
5
Suppose 0 = -2*w - 3*w + 130. Let u = w - 18. Calculate the greatest common factor of u and 4.
4
Let x(p) = 9*p - 24. Let s be x(3). Let l = -59 - -83. What is the highest common divisor of s and l?
3
Let t be (17 - 5)*26/3. Let f(g) = 2*g + g**2 + 4 + g - 9. Let c be f(-6). What is the greatest common factor of c and t?
13
Suppose -3*k = w - 4, 2*w + 3 = 3*k + 2. Let g = 4 + -1. What is the highest common divisor of g and w?
1
Suppose 1 = -3*q + 4. Let d be (-5)/(2/4 - q). Suppose d = 4*s + s. What is the greatest common divisor of 22 and s?
2
Let z = 5 - -7. Suppose -z = -l - 6. What is the highest common divisor of l and 30?
6
Let s(p) = -154*p**3 + p**2 + p. Let l be (-3)/(-9)*3*-1. Let g be s(l). What is the greatest common factor of 14 and g?
14
Let a be ((-24)/20)/((-6)/20). Suppose 2*m - a*m + 4 = 0. What is the greatest common divisor of m and 1?
1
Suppose -24 = -5*t - 4*q, -4*t + 19 = q - 9. Let u(n) = -n**2 - n - 2. Let s be u(0). Let p = t + s. Calculate the highest common divisor of p and 15.
3
Let f = 32 - 63. Let z = f + 70. Calculate the greatest common factor of z and 26.
13
Let b be 2/(-1) + 190/19. Let n(r) be the first d | {
"pile_set_name": "DM Mathematics"
} |
93
What is 659026 to the power of 1/2, to the nearest integer?
812
What is the cube root of 4588775 to the nearest integer?
166
What is 263846 to the power of 1/6, to the nearest integer?
8
What is the eighth root of 1092048 to the nearest integer?
6
What is 195157 to the power of 1/2, to the nearest integer?
442
What is the square root of 1122567 to the nearest integer?
1060
What is the ninth root of 172359 to the nearest integer?
4
What is the square root of 178638 to the nearest integer?
423
What is the seventh root of 10675717 to the nearest integer?
10
What is 11228464 to the power of 1/9, to the nearest integer?
6
What is 209854 to the power of 1/5, to the nearest integer?
12
What is 35854712 to the power of 1/2, to the nearest integer?
5988
What is the third root of 7878342 to the nearest integer?
199
What is 3813979 to the power of 1/2, to the nearest integer?
1953
What is the square root of 36163 to the nearest integer?
190
What is the third root of 441808 to the nearest integer?
76
What is 36545577 to the power of 1/2, to the nearest integer?
6045
What is 486496 to the power of 1/3, to the nearest integer?
79
What is the cube root of 170696 to the nearest integer?
55
What is 1955175 to the power of 1/9, to the nearest integer?
5
What is the ninth root of 28466331 to the nearest integer?
7
What is the sixth root of 607534 to the nearest integer?
9
What is 902009 to the power of 1/8, to the nearest integer?
6
What is the ninth root of 8395841 to the nearest integer?
6
What is 59659 to the power of 1/9, to the nearest integer?
3
What is the cube root of 69932 to the nearest integer?
41
What is 11681634 to the power of 1/2, to the nearest integer?
3418
What is the square root of 3644338 to the nearest integer?
1909
What is 334927 to the power of 1/9, to the nearest integer?
4
What is the ninth root of 295474 to the nearest integer?
4
What is the square root of 2914579 to the nearest integer?
1707
What is the ninth root of 831851 to the nearest integer?
5
What is 172131 to the power of 1/10, to the nearest integer?
3
What is the ninth root of 4476821 to the nearest integer?
5
What is the square root of 5284638 to the nearest integer?
2299
What is the square root of 496429 to the nearest integer?
705
What is the square root of 1294068 to the nearest integer?
1138
What is the eighth root of 25299537 to the nearest integer?
8
What is the square root of 199570 to the nearest integer?
447
What is the third root of 9614926 to the nearest integer?
213
What is 10302131 to the power of 1/3, to the nearest integer?
218
What is 2085869 to the power of 1/2, to the nearest integer?
1444
What is the sixth root of 1710448 to the nearest integer?
11
What is 2234921 to the power of 1/2, to the nearest integer?
1495
What is the square root of 406286 to the nearest integer?
637
What is the square root of 11243023 to the nearest integer?
3353
What is the tenth root of 3672527 to the nearest integer?
5
What is 63078 to the power of 1/6, to the nearest integer?
6
What is 20227318 to the power of 1/3, to the nearest integer?
272
What is 268108 to the power of 1/3, to the nearest integer?
64
What is 565759 to the power of 1/2, to the nearest integer?
752
What is the third root of 1779625 to the nearest integer?
121
What is the cube root of 15918537 to the nearest integer?
252
What is the seventh root of 556693 to the nearest integer?
7
What is the square root of 12005745 to the nearest integer?
3465
What is the square root of 4969899 to the nearest integer?
2229
What is 4395950 to the power of 1/3, to the nearest integer?
164
What is 46058 to the power of 1/9, to the nearest integer?
3
What is 173271 to the power of 1/9, to the nearest integer?
4
What is the sixth root of 3570411 to the nearest integer?
12
What is the third root of 175990 to the nearest integer?
56
What is the square root of 818854 to the nearest integer?
905
What is 2605555 to the power of 1/2, to the nearest integer?
1614
What is 3185530 to the power of 1/3, to the nearest integer?
147
What is the seventh root of 506470 to the nearest integer?
7
What is 4858075 to the power of 1/8, to the nearest integer?
7
What is 2210332 to the power of 1/2, to the nearest integer?
1487
What is 27667141 to the power of 1/6, to the nearest integer?
17
What is the third root of 12990283 to the nearest integer?
235
What is the sixth root of 389584 to the nearest integer?
9
What is 2683586 to the power of 1/2, to the nearest integer?
1638
What is 18749398 to the power of 1/3, to the nearest integer?
266
What is 1015316 to the power of 1/3, to the nearest integer?
101
What is the third root of 1275139 to the nearest integer?
108
What is the square root of 698340 to the nearest integer?
836
What is the square root of 605228 to the nearest integer?
778
What is 195358 to the power of 1/5, to the nearest integer?
11
What is 700779 to the power of 1/10, to the nearest integer?
4
What is the eighth root of 8281507 to the nearest integer?
7
What is the third root of 107992 to the nearest integer?
48
What is the third root of 17113708 to the nearest integer?
258
What is the third root of 3174216 to the nearest integer?
147
What is 211689 to the power of 1/4, to the nearest integer?
21
What is 10478332 to the power of 1/2, to the nearest integer?
3237
What is 3477375 to the power of 1/2, to the nearest integer?
1865
What is the seventh root of 21669291 to the nearest integer?
11
What is 15421083 to the power of 1/3, to the nearest integer?
249
What is 7463936 to the power of 1/7, to the nearest integer?
10
What is the third root of 5698582 to the nearest integer?
179
What is 14602181 to the power of 1/2, to the nearest integer?
3821
What is 200541 to the power of 1/3, to the nearest integer?
59
What is 452747 to the power of 1/3, to the nearest integer?
77
What is 141492 to the power of 1/9, to the nearest integer?
4
What is 2425055 to the power of 1/2, to the nearest integer?
1557
What is the cube root of 2547389 to the nearest integer?
137
What is 260174 to the power of 1/3, to the nearest integer?
64
What is the ninth root of 16598 to the nearest integer?
3
What is the square root of 3118416 to the nearest integer?
1766
What is 4886239 to the power of 1/5, to the nearest integer?
22
What is the cube root of 72342 to the nearest integer?
42
What is 231686 to the power of 1/3, to the nearest integer?
61
What is the ninth root of 1519200 to the nearest integer?
5
What is the cube root of 6115045 to the nearest integer?
183
What is 4822220 to the power of 1/3, to the nearest integer?
169
What is 248866 to the power of 1/2, to the nearest integer?
499
What is the fourth root of 26981054 to the nearest integer?
72
What is the cube root of 198721 to the nearest integer?
58
What is the square root of 7298080 to the nearest integer?
2701
What is 9903716 to the power of 1/2, to the nearest integer?
3147
What is 166763 to the power of 1/4, to the nearest integer?
20
What is the seventh root of 150335 to the nearest integer?
5
What is the cube root of 3075282 to the nearest integer?
145
What is the ninth root of 2370451 to the nearest integer?
5
What is 340957 to the power of 1/3, to the nearest integer?
70
What is the cube root of 1892641 to the nearest integer?
124
What is 2899930 to the power of 1/3, to the nearest integer?
143
What is 13981820 to the power of 1/2, to the nearest integer?
3739
What is the square root of 1392067 to the nearest integer?
1180
What is 32127 to the power of 1/5, to the nearest integer?
8
What is the third root of 10393094 to the nearest integer?
218
What is 4622316 to the power of 1/2, to the nearest integer?
2150
What is 14113 to the power of 1/2, to the nearest integer?
119
What is 212439 to the power of 1/2, to the nearest integer?
461
What is the sixth root of 205310 to the nearest integer?
8
What is 73622 to the power of 1/8, to the nearest integer?
4
What is the seventh root of 190345 to the nearest integer?
6
What is 1072356 to the power of 1/2, to the nearest integer?
1036
What is the third root of 4702078 to the nearest integer?
168
What is the square root of 2213434 to the nearest integer?
1488
What is the square root of 187495 to the nearest integer?
433
What is the sixth root of 100 | {
"pile_set_name": "DM Mathematics"
} |
ts digit of (2 - z/24)*6?
7
Suppose -5*r + 2*i = -36, -21 = r - 6*r - 3*i. Let s be 314/r - (-2)/3. What is the units digit of (0 - -1) + 0 + s?
4
Let n be 2*(-3 - 38/(-4)). Suppose 3 = 3*i, -n = 4*b + 4*i + 7. What is the units digit of (4 - -2)*(-2)/b?
2
Suppose -u + 0 = 5. Let t = 153 - 154. What is the units digit of t/u - 40/(-50)?
1
Suppose 21 = 7*h - 0*h. Let m(t) = -t**2 + 4*t. What is the units digit of m(h)?
3
Let k = 4023 - 2291. What is the thousands digit of k?
1
Suppose -3*q = 36*q - 7761. What is the hundreds digit of q?
1
Suppose h + 5*v - 522 = 0, -57*h + 4*v = -62*h + 2694. What is the tens digit of h?
4
Let n be (-4)/14 - 2/21*-3. Suppose 9*q - 96 - 372 = n. What is the tens digit of q?
5
Let d(l) = -3*l - 1. Let z be d(-1). Let q(i) = -i - z + i**2 + 2. What is the units digit of q(3)?
6
Suppose 7*k - 4*k - 2*z - 10163 = 0, k = -4*z + 3397. What is the tens digit of k?
8
Let h(p) = -p. Let i be h(-5). Suppose 2*v - 5*a = 3, 3*v - 2*a + 24 = i*v. Suppose -4*t = -v - 123. What is the tens digit of t?
3
Let d = 3038 + -1918. What is the tens digit of d?
2
Suppose 7*h - 210 = 2*h. Suppose h = -5*k - 48. Let o = k + 31. What is the tens digit of o?
1
Suppose 9*m - 93 = -462. Let s = m - -105. What is the units digit of s?
4
Suppose 3*q = 10*a - 11*a + 4903, a + 6549 = 4*q. What is the thousands digit of q?
1
Suppose -4*n - 5*x = -829, 4*n - 2*x + 1032 = 9*n. What is the tens digit of n?
0
Suppose -1 = -c, 5*c - 3935 = -8*y + 3*y. What is the units digit of y?
6
What is the units digit of (-20512)/(-24) + 1/(-12)*-4?
5
What is the units digit of (-3)/(9/(-3053)) - 15/(-45)?
8
Suppose -3*t + 5*t = -5*o - 17, -3*t + 9 = -4*o. Let z(c) = -2*c**3 + 3*c**2 - 2*c + 1. What is the units digit of z(o)?
8
Let k = -449 - -1068. What is the hundreds digit of k?
6
Suppose -5*j - 23 = t + 17, 2*j + t + 16 = 0. What is the tens digit of j/(-10)*(95 + 10)?
8
Suppose -29657 = -10*p + 3083. What is the tens digit of p?
7
Let j = 2 - 4. Let f be (j - 3) + 2 + 171. What is the tens digit of (12/16)/(3/f)?
4
Suppose -10 = -5*q + 5. Suppose 10*c + q*k = 5*c + 87, 0 = -4*c - k + 64. What is the tens digit of c?
1
Let w = 1029 - 504. Suppose 0 = -3*h + w + 6. What is the hundreds digit of h?
1
Let o = 27 + -14. Suppose o*f = 14*f - 56. What is the tens digit of f?
5
Let z = -182 - -274. Let f = 160 - 110. Let b = z - f. What is the tens digit of b?
4
Suppose 4*f + 5*o = 523, -6*o + o - 5 = 0. Suppose -f = -5*g - g. Let x = 74 - g. What is the units digit of x?
2
Let v(b) = -3*b**2 - 5*b + 4. Let p be v(-4). What is the units digit of (16/p)/(2/(-21))?
7
Suppose -3*n - 5*j + 578 = 0, 5*j = -12*n + 11*n + 206. What is the hundreds digit of n?
1
Suppose 2*r = -3*r + 25. Suppose -3*s + 2*m = -11, -r*s + 0*m = m - 40. Let b = s - 0. What is the units digit of b?
7
Suppose 0 = -9*v + 1003 + 2615. Suppose 93 = 5*q - v. What is the tens digit of q?
9
Let w(s) = 26*s**2 + 4. Let o be w(6). Suppose o = 4*k + k. What is the units digit of k/8 + 6/(-4)?
2
Let x(v) = -v**3 + 9*v**2 - 9*v + 10. Let k(b) = b**2 - b - 4. Let z be k(4). Let t be x(z). What is the units digit of 4*t*(-1)/(-8)?
1
Let p = 14 + -16. What is the units digit of -1 + 48 - -1 - p?
0
Let z be (-1 - 107) + 6 + -4. Let u = 76 + z. Let h = -15 - u. What is the tens digit of h?
1
Suppose 5*h + 516 + 429 = 0. Let d = -71 - h. What is the units digit of d?
8
Suppose 4 = d, 6*i + 5*d = 4*i + 1448. What is the tens digit of i/15 + (-1)/15*-6?
4
Let x = 104 - 107. Let y(p) = -30*p + 35. What is the units digit of y(x)?
5
Let o(i) = i**2 + 2*i - 3. Let u(m) = -m**3 + 8*m**2 - 6*m - 3. Let g be u(7). Let j be o(g). Let w = 13 + j. What is the units digit of w?
4
Let r(q) = q**3 + 4*q**2 - 6*q + 1. Let p be r(-5). Let d = 10 - p. Suppose -d*n + 3*z = -15, 24 = 5*n + 4*z - 6*z. What is the units digit of n?
6
Suppose 1007 = 12*c - 385. What is the units digit of c?
6
Let r(o) be the first derivative of -o**4/12 - o**3/6 + o**2 - 5. Let k(l) be the second derivative of r(l). What is the units digit of k(-5)?
9
Suppose 3*g + 0*r - 8 = r, -2*r + 17 = 5*g. Suppose n - 5*n + 5*w = -4, -5*n - g*w + 5 = 0. Let a = 15 + n. What is the units digit of a?
6
Let h(y) = -y + 2. Let d be h(6). Let t be 1 + 2*(d - -3). Let p = t - -20. What is the tens digit of p?
1
Suppose -4*f - 5 = -5*f. Let y be (-157)/f - (-16)/40. Let a = -8 - y. What is the tens digit of a?
2
Suppose -31352 = 15*f - 93932. What is the hundreds digit of f?
1
Let o(z) = -z - 2. Let d be o(-9). Suppose d*c - 448 = 3*c. What is the hundreds digit of c?
1
Suppose t - 818 = 2*r, -2*t - 2*r = -2063 + 415. What is the hundreds digit of t?
8
Suppose 2*x = -2*u + 18, 4*u - 2*u = 2*x - 18. Suppose 0 = g - 3*g - 8. What is the units digit of 3/(g*x/(-48))?
4
Let k = 113 - 43. Suppose -3*u - 19 = -k. What is the tens digit of u?
1
Let r = 10 - 4. Let v(b) = b. Let i be v(r). What is the units digit of ((-2)/i)/((-19)/627)?
1
Suppose -5*m = -l - 1310, 0 = -4*m + 3*l + 689 + 370. Suppose 0 = -2*s, 2*n - 3*s = -n + m. What is the tens digit of n?
8
Let t = 16 - 2. Let k(c) be the third derivative of -c**6/120 + 7*c**5/30 + c**4/6 + 7*c**3/3 + c**2 + 23. What is the tens digit of k(t)?
7
Suppose -5 = -j - 2, -4*j = -2*a + 1228. What is the tens digit of a?
2
Let r(u) = -3*u**2 - u - 2. Let n(z) = -z**2. Let g(d) = -4*n(d) + r(d). Let t be g(2). What is the units digit of t - -1 - 3*-2?
7
Suppose -3*r + 76 = o, -4*r = 5*o - 0*o - 347. Let h = o - 34. Let a = 52 - h. What is the units digit of a?
9
Let a be (2/2)/((-4)/(-60)). Let x = 8 + -5. Let i = x + a. What is the tens digit of i?
1
Let s(w) = -14*w + 6. Let y be s(-8). Let g = 268 - y. What is the hundreds digit of g?
1
Let c be (-32)/12*3/(-1). What is the tens digit of (-212)/6*(-12)/c?
5
Let g(r) be the second derivative of -r**5/20 - r**4/4 + 3*r. Let j be g(-3). Suppose 3*f + 2*s = 67, j*f = f + 4*s - 9. What is the units digit of f?
5
Let n = -4 - 10. Let v = n - -16. Suppose -v*w + 4*w = 24. What is the tens digit of w?
1
Let l(b) = 102*b - 492. What is the hundreds digit of l(17)?
2
Let r = -601 + 1059. What is the hundreds digit of r?
4
What is the thousands digit of -1 - (1 + 0) - (-5772 - -1)?
5
Suppose 0*y - 4*y + 8 = 0. Suppose y*s = -5*o + 2*o + 30, 5*o - 50 = 4*s. What is the units digit of o?
0
Let v(d) = -23*d**3 + 2*d + 1. Let u be v(-1). Suppose -3*w - 3*l = -l - 14, -5*w - 3*l = -u. What is the tens digit of (-1)/((-6)/81)*w?
2
Let b(j) be the second derivative of -23*j**3/3 + 9*j**2/2 + 12*j. What is the tens digit of b(-3)?
4
Let g(c) = 53*c - 198. What is the hundreds digit of g(17)?
7
Let h = 6249 - 2019. What is the thousands digit of h?
4
Suppose 54*t - 58*t + 176 = 0. What is the units digit of t?
4
Suppose -7*s = -126 - 119. What is the tens digit of s?
3
Let g(b) = -3*b + 2. Let y be g(-16). What is the units digit of (-61)/(-5) + 40/y?
3
Let h(i) = 5*i**2 - i + 1. Let t(v) = -v**2 - 8*v - 10. Let f be t(-7). What is the units digit of h(f)?
9
Suppose -22610 = 757*b - 771*b. What is the units digit of b?
5
Let w(q) = 33*q + 6. Let n(f) = -f. Let h(b) = 18*n(b) + w(b). What is the units digit of h(5)?
1
Suppose 3*z - 2*z - 13 = 0. Let l = z - 8. Suppose -5*s = l*w - 3*s - 34, 2 = -w + 4*s. What is the units digit of w?
6
Let q be ((-546)/(-63))/((-2)/(-12)). Let v = q - 12. What is the tens digit of v?
4
Let n(x) = 126*x - 177. What is the hundreds digit of n(4)?
3
Suppose 3*b - 115 = -3*y + 80, b - 70 = -2*y. Suppose -3*t - 12 = -b. Suppose 2*d + t = 6*d. What is the units digit of d?
4
Let w be 87/29*(-68)/3. Let u = -42 - w. What is the tens digit of u?
2
Suppose 10*l + 2101 = 6181. What is the tens digit of l?
0
Let o(i) = i**3 - 24*i**2 + 6*i + 109. What is the hundreds digit of o(25)?
8
Let a(y) = 5*y**2 + 2. Let c be a(-3). Suppose 100 + 36 = 4*t. Suppose 4*g + 3*j - c - t = 0, -2*g + 39 = j. What is the units digit of g?
8
Let g = -62 + -156. What is the tens digit of (2/4)/((-655)/g + -3)?
0
Suppose -4*n - d - 1 = 0, -29 = -4*n + 4*d + d. Let j be (-8)/2 + 3 + n. Suppose 2*z + 2*z - 120 = j. What is the units digit of z?
0
Let d = 3951 + 152. What is the hundreds digit of d?
1
Suppose 3*x = -5*c + 6, 8 = 2*x + 2*x + c. Suppose -5*q + 3*m + 165 = -m, -4*m = -x*q + 66. Wh | {
"pile_set_name": "DM Mathematics"
} |
1
What comes next: -1218079, -1218080, -1218081, -1218082, -1218083, -1218084?
-1218085
What comes next: 1077, 1097, 1127, 1173, 1241, 1337, 1467, 1637?
1853
What is the next term in -600, -578, -574, -600, -668, -790?
-978
What is the next term in 174063, 348128, 522193, 696258, 870323?
1044388
What comes next: 23561, 23558, 23555, 23552, 23549?
23546
What comes next: 13423, 26838, 40255, 53680, 67119, 80578, 94063?
107580
What is next in -2931, -5857, -8783, -11709, -14635, -17561?
-20487
What is the next term in -407, -812, -1219, -1628, -2039?
-2452
What comes next: 4445, 4515, 4585, 4655, 4725?
4795
What is the next term in 186, 154, 142, 162, 226, 346, 534, 802?
1162
What is the next term in -13315, -53285, -119909, -213193, -333143?
-479765
What is next in -151, -319, -499, -691, -895, -1111?
-1339
What is next in 120266, 240532, 360798?
481064
What is the next term in 3811, 7597, 11373, 15139, 18895?
22641
What comes next: -101085, -404559, -910357, -1618485, -2528949?
-3641755
What is the next term in -154, -1734, -6028, -14392, -28182, -48754, -77464?
-115668
What comes next: -6249, -6900, -7551, -8202, -8853?
-9504
What comes next: 86255, 86265, 86265, 86249, 86211?
86145
What is the next term in -26, 64, 138, 190, 214, 204?
154
What is the next term in -44, -134, -270, -452, -680, -954?
-1274
What is the next term in -16008, -32163, -48316, -64467?
-80616
What is the next term in -4843, -4816, -4789, -4762, -4735, -4708?
-4681
What comes next: -9148, -9308, -9470, -9634, -9800, -9968?
-10138
What is next in 2225, 2182, 2123, 2042, 1933, 1790, 1607, 1378?
1097
What comes next: 2288, 2349, 2410, 2471, 2532?
2593
What is next in -238, -343, -530, -811, -1198?
-1703
What is the next term in 124525, 249053, 373581?
498109
What comes next: -11590, -11572, -11536, -11476, -11386, -11260, -11092, -10876?
-10606
What is the next term in -29453, -58905, -88347, -117773, -147177, -176553, -205895?
-235197
What comes next: -123, -221, -321, -423, -527, -633?
-741
What is the next term in -16204, -32449, -48694, -64939, -81184?
-97429
What comes next: 176, 369, 562?
755
What comes next: 550, 1010, 1774, 2842, 4214?
5890
What is next in 55, 279, 659, 1195, 1887, 2735, 3739?
4899
What is next in -7658, -7667, -7698, -7763, -7874, -8043?
-8282
What is next in 540, 481, 376, 219, 4, -275, -624, -1049?
-1556
What is the next term in -108, -390, -830, -1428, -2184, -3098, -4170?
-5400
What is the next term in -186906, -186901, -186892, -186879, -186862, -186841, -186816?
-186787
What is next in -127004, -254034, -381046, -508034, -634992?
-761914
What comes next: -79678, -79675, -79672, -79669, -79666, -79663?
-79660
What is the next term in 177, 360, 549, 744?
945
What is next in -257, -2100, -7101, -16844, -32913, -56892, -90365, -134916?
-192129
What is the next term in -325, -1333, -3015, -5365, -8377, -12045, -16363?
-21325
What is next in 621, 2327, 5175, 9165, 14297, 20571, 27987?
36545
What is next in 75034, 150064, 225094, 300124, 375154, 450184?
525214
What comes next: 436, 399, 370, 355, 360, 391, 454, 555?
700
What is the next term in 10905, 43614, 98137, 174480, 272649, 392650?
534489
What is the next term in 12, 116, 370, 846, 1616?
2752
What comes next: -7093, -7458, -8067, -8920, -10017?
-11358
What is next in -1322922, -1322921, -1322920, -1322919, -1322918?
-1322917
What comes next: 445, 887, 1327, 1765, 2201?
2635
What is the next term in -574, -523, -456, -367, -250, -99, 92, 329?
618
What is the next term in 728, 576, 388, 164, -96, -392?
-724
What comes next: 205, 411, 611, 805, 993, 1175, 1351?
1521
What comes next: 1456, 2924, 4392?
5860
What is the next term in 129, 232, 317, 384, 433, 464, 477?
472
What is the next term in -7544, -30172, -67892, -120710, -188632, -271664?
-369812
What is the next term in 498, 830, 1156, 1476, 1790, 2098, 2400?
2696
What comes next: 233569, 233546, 233523?
233500
What is next in -497, -1519, -2541, -3563?
-4585
What comes next: -1991, -4045, -6099, -8153?
-10207
What is the next term in 224604, 224615, 224626?
224637
What is the next term in 165, 1272, 4259, 10062, 19617, 33860?
53727
What comes next: -2413, -4809, -7205, -9601, -11997, -14393?
-16789
What comes next: 5406, 5416, 5440, 5484, 5554?
5656
What is next in 11088, 22203, 33316, 44427, 55536, 66643, 77748?
88851
What is next in 10649, 42556, 95719, 170138, 265813, 382744?
520931
What is next in -12121, -12123, -12125, -12127, -12129?
-12131
What comes next: -149158, -149139, -149108, -149065, -149010, -148943?
-148864
What comes next: -11993, -12204, -12415, -12626?
-12837
What comes next: -78831, -157660, -236489, -315318?
-394147
What is the next term in -8447, -8363, -8223, -8027?
-7775
What comes next: -2122, -16871, -56904, -134863, -263390, -455127?
-722716
What comes next: 616, 2428, 5446, 9664, 15076, 21676, 29458, 38416?
48544
What is next in -1802, -1688, -1498, -1232, -890?
-472
What is next in -3488, -7344, -11198, -15050, -18900, -22748, -26594?
-30438
What is next in -347, -479, -695, -989, -1355?
-1787
What comes next: -79890, -159763, -239626, -319473, -399298?
-479095
What is the next term in -481007, -481011, -481015, -481019?
-481023
What is next in -163, -1355, -4561, -10789, -21047, -36343, -57685, -86081?
-122539
What is next in -641876, -641888, -641910, -641948, -642008, -642096, -642218, -642380?
-642588
What is next in 4012, 4001, 3990, 3979?
3968
What comes next: 1981, 1907, 1835, 1765, 1697, 1631?
1567
What is next in 7066, 7157, 7384, 7807, 8486, 9481?
10852
What is the next term in -360, -756, -1156, -1560, -1968?
-2380
What is next in -15214, -15208, -15188, -15148, -15082, -14984, -14848?
-14668
What is the next term in 555, 2183, 4875, 8631?
13451
What is next in -903, -3621, -8149, -14487, -22635?
-32593
What is next in 67897, 135790, 203681, 271570, 339457?
407342
What comes next: -12098625, -12098629, -12098635, -12098643, -12098653, -12098665, -12098679?
-12098695
What is next in -555, -1137, -1723, -2313, -2907, -3505?
-4107
What comes next: -115892, -231766, -347642, -463520?
-579400
What is the next term in -213, -1914, -6541, -15558, -30429, -52618, -83589?
-124806
What is the next term in 72, 278, 578, 936, 1316?
1682
What is the next term in -7111, -14175, -21179, -28117, -34983, -41771, -48475, -55089?
-61607
What is next in 1399, 1425, 1449, 1471, 1491, 1509, 1525?
1539
What is next in 687, 1437, 2187?
2937
What is the next term in 273, 446, 619, 792, 965, 1138?
1311
What comes next: -100438, -200905, -301372, -401839?
-502306
What is next in 690, 1348, 1888, 2250, 2374, 2200, 1668, 718?
-710
What comes next: -387, -649, -913, -1179, -1447, -1717?
-1989
What is next in -3232, -6441, -9648, -12853?
-16056
What is the next term in 13264, 13087, 12910, 12733, 12556?
12379
What is next in 22819, 45654, 68487, 91318, 114147, 136974?
159799
What is next in 845840, 845841, 845842?
845843
What is the next term in -550280, -550277, -550274, -550271, -550268?
-550265
What comes next: 52484, 104968, 157452, 209936, 262420?
314904
What is the next term in 39906, 79805, 119704?
159603
What is next in -1032, -2142, -3332, -4608, -5976, -7442, -9012?
-10692
What is next in 10037, 20076, 30115, 40154, 50193, 60232?
70271
What is the next term in -1047936, -1047942, -1047948, -1047954, -1047960?
-1047966
What is the next term in 23621, 23632, 23643?
23654
What comes next: -6821, -13390, -19971, -26570, -33193, -39846, -46535?
-53266
What is the next term in -7, -77, -207, -397, -647, -957?
-1327
What is the next term in -60378, -60382, -60396, -60426, -60478, -60558, -60672?
-60826
What comes next: -24917, -49848, -74779, -99710?
-124641
What comes next: -102, -159, -192, -195, -162, -87, 36?
213
What is the next term in 96, 252, 440, 660, 912, 1196?
1512
What is next in -587, -4814, -16287, -38630, -75467, -130422, -207119, -309182?
-440235
What is next in 163405, 163407, 163409?
163411
What comes next: -302, -302, -300, -296, -290?
-282
What is the next term in -13234, -26464, -39694, -52924?
-66154
What is next in -2695, -2714, -2745, -2788, -2843?
-2910
What comes next: -780806, -1561617, -2342430, -3123245, -3904062, -4684881, -5465702?
-6246525
What comes next: 76, -68, -298, -608, -992, -1444, | {
"pile_set_name": "DM Mathematics"
} |
.
44
Let i = -174343/151704 + -66/2107. Find the common denominator of (-6)/(-21) - (79/(-42) - 2) and i.
72
Let s = 2002 - 1980. What is the lowest common multiple of s and 11?
22
Calculate the common denominator of -97/50 and (-15)/(-5) + (-321)/120 + 2.
200
Let n be -40 + 4 + (-1 - -2). Let d = n - -317/9. Calculate the common denominator of d and 139/18.
18
Let a(x) = x**2 + 5*x + 14. Calculate the lowest common multiple of 368 and a(0).
2576
Let l = -304 - -328. Calculate the least common multiple of 20 and l.
120
Suppose -127*g + 120*g = -21. Calculate the least common multiple of g and 22.
66
Let g(y) = -2*y**2 + 15*y + 10. Let u be g(8). What is the common denominator of 58/40 + 35/(-10) + u and 67/14?
140
Suppose -4 = -4*c - 2*r, -c - 3*r + 9 = 2*c. What is the common denominator of (-3)/c + (-100)/21 and -29/15?
105
Let s be (-66)/8*(-562)/117. Let w = s - 760/13. Calculate the common denominator of -2 + -1 - ((-712)/16 + 4) and w.
6
Let p be 141 - (-7 + 8 + -4). Suppose -3 - 2 = 5*t. Find the common denominator of 111/14 and 2*((-4)/t)/p.
126
Suppose 57 = -2*j + 31. Let o be (1 + -23)/(-1) - -1. Let a = o + j. Calculate the lowest common multiple of 20 and a.
20
Suppose -2*p + 2*q - 371 - 9 = 0, 5*q = -p - 202. Let j be 0/3 + (-24)/(-2). What is the common denominator of (p/(-45))/(8/j) and 9/11?
55
Suppose 3*y + 3*y = -24. What is the common denominator of (-1166)/(-154)*(-14)/y and -51/22?
22
Let y = 33399205/245686092 - 1/457516. What is the common denominator of y and 23/6?
1074
Let p = -34 - -41. Suppose 5*o + 2*g - 1 - 1 = 0, g = -4*o + 4. Suppose 12 = 5*r + 4*u - 43, 4*r - o*u - 18 = 0. Calculate the least common multiple of p and r.
7
Let p = 854 + -840. What is the smallest common multiple of 22 and p?
154
Suppose -12 = -4*w + 5*y, 34 = 5*y + 14. Let a(v) = v**2 - 6*v - 9. Let r be a(8). Let d = 3 + r. Calculate the smallest common multiple of w and d.
40
Let s = -105 + 116. Calculate the smallest common multiple of s and -2*-9*(-1)/(-2).
99
Let r = -1670 + 1686. Let m = 1 - -1. What is the lowest common multiple of r and m?
16
Let d = 19758583/10 + -1977608. Let w = d - -1756. What is the common denominator of w and (-176)/308 + 1558/(-140)?
10
Let j be 145/(-11) + (-6)/(-33). Let w = j - -17. Calculate the smallest common multiple of w + -1 - (-4)/2 and 6.
30
Let v = -7689 + 92215/12. Let c be 73948/(-72) - (3 - 6). Let u = -1025 - c. Find the common denominator of v and u.
36
Let r(a) = a**2 - 14*a + 11. Let o be r(13). What is the least common multiple of ((-11)/(-22))/((-1)/(-2)) and 3*(-1 + (-4)/o)?
3
Let l = -1/865 - 25079/5190. Let c = 7/212 - -14269/4452. Calculate the common denominator of c and l.
42
Let p(h) = 30*h - 483. What is the smallest common multiple of p(27) and 15?
1635
Suppose -2 + 30 = 2*v. Let f(g) = g**2 - 25*g + 9. Let s be f(18). Let d = 133 + s. Calculate the smallest common multiple of d and v.
112
Let n = -231028783/642 + 359858. Find the common denominator of n and -81/16.
5136
Suppose 8 = -2*n, -1079*j + 1084*j - 5*n - 200 = 0. Calculate the smallest common multiple of (-11)/(-1 - (-1)/2) and j.
396
Let l = -2/15519 + 688013/31038. Let t be 283/666 - 4/18. Let m = 1003/111 - t. Find the common denominator of l and m.
6
Suppose -4*y + 5*c + 717 = 0, -4*y + 716 = -0*y - 4*c. What is the common denominator of -1 - (-1)/(4/y) and 8/9?
18
Let z = -9 - -25. Suppose 7*u = z - 2. Let i(d) = 3*d + 1. What is the least common multiple of u and i(1)?
4
Let z be (-5 + 4)/((-1)/(-39)). Calculate the common denominator of -27/14 and 15/(-15) - z/(-16).
112
Suppose -10 = 3*s - 1. Let c be 1/(1*(-1)/s). Suppose 2*o = c + 37. What is the lowest common multiple of 8 and o?
40
Let v = 4/643 + -27713/10288. Let h(n) = 4*n**2 + 8*n + 7. Let w be h(-5). Calculate the common denominator of -11 + 11 + w/(-8) and v.
16
Let i(t) = 2*t**2 - 19*t - 4. Let r(u) = u**3 + 5*u**2 - 7*u - 5. Calculate the smallest common multiple of i(10) and r(-6).
6
Let f = 31/812 - 51643/3451. Let w be 4/6 + -1*(-721)/714. Let l = f + w. What is the common denominator of -37/6 and l?
12
Let s(m) = 3*m - 12. Let z be s(6). Let t = -4 - z. What is the smallest common multiple of (-6)/t + 444/60 and 8?
8
Let g be (2 + 4/(-3))*24. Let z = 17 - 10. What is the smallest common multiple of g/48 + 52/6 and z?
63
What is the common denominator of 97/108 and (-60)/(-105) - (-118)/(-84)?
108
Suppose -m = -5*h - 163, 2*h = 28*m - 31*m + 472. What is the least common multiple of m and 4?
316
Suppose 4*i + 0*r - 16 = -4*r, 3*i - 4*r = 26. Let c be (-9)/i*(-2)/3. Let h = 7 + c. What is the least common multiple of 10 and h?
40
Let h(d) = -d**3 - 17*d**2 - d + 4. Suppose 10 = -b - 7. Calculate the smallest common multiple of 21 and h(b).
21
Suppose -62*v = -52*v - 50. Calculate the smallest common multiple of v and 34.
170
Let n(w) = -2*w**2 - 67*w - 87. Calculate the least common multiple of 66 and n(-32).
198
Suppose 2 = c - 20. Suppose 5*v = -9 + 119. Let p(i) = -i**2 + 22*i + 14. Calculate the smallest common multiple of p(v) and c.
154
Let i be 3*(-2)/24*-28. Let t(a) = -a**2 + 8*a - 4. Let h be t(i). What is the least common multiple of 8 and 8*(3 - (h - 1))?
8
Let d(o) = -o**2 - 4*o + 7. Let c be d(-7). Let u be ((-7)/c)/((-1)/(-2)). What is the common denominator of 28 and u/(-3) + 385/30?
2
Let a(i) = 2*i + 9. Let d be a(-18). Calculate the common denominator of (-3)/(d/(-82)) + 6/3 and 131/30.
90
Calculate the common denominator of -13/8 and -2 - -1 - (3135/2)/(-33).
8
Let v = 15040/11 - 542309/396. Suppose -r - r = -4250. Let o = r - 29735/14. What is the common denominator of o and v?
252
Let t = 41/2 + -13. Let r = -44 - -28. What is the common denominator of t and (140/r)/(1/(-4))?
2
Let c(t) = 5*t**2 - t - 2. Let q be c(-1). Suppose -9*o - q = -11*o. Calculate the common denominator of -83/4 and (o/8)/(42/644).
12
Let a = -426 - -444. What is the smallest common multiple of 30 and a?
90
Let l(m) = 2*m + 12. Let i be l(-4). Suppose 4*s + 3*w - i = -w, s + 3 = w. What is the common denominator of 1/(-36)*(-194)/s and -83/6?
18
Let u = -5263/10 + 2121/4. Find the common denominator of -3 - ((-118)/(-8) + -2) and u.
20
Let t be (16 - 15)/(2/96). Find the common denominator of -56/33 and (132/9 + -2)/(t/30).
132
Let g = 2542 + -38111/15. What is the common denominator of -79/165 and g?
165
Let y = -520503/22 - -23655. Calculate the common denominator of (1 - -1)*(-26)/96 and y.
264
Let u = 6 - -2. Let m be 0 + (-6)/12*2416. What is the common denominator of ((-3)/u)/(18/m) and -53/10?
30
Let h be (15/81)/(1/21057). Let o = -7807/2 + h. Calculate the common denominator of o and (1 - 2) + (-6)/44.
198
Let p be ((-2923739)/(-18))/13 - 0. Let s = -12498 + p. What is the common denominator of -103/6 and s?
18
Let d be (-8)/(-36) - (-14713)/9. Let o = 3343/2 - d. Find the common denominator of 53/9 and o.
18
What is the common denominator of (312/(-160))/(2/(-5)) and ((-21)/392)/(12/(-602))?
16
Let o = 2449 + -2465. Let d = -9/53 + 4153/424. Calculate the common denominator of o and d.
8
Let i(s) = -2*s. Suppose -75 = -24*f - 3. What is the lowest common multiple of i(-2) and f?
12
Let z = -3636 + 80059/22. Suppose -7*g = -11*g - 48. Calculate the common denominator of z and (-8)/(-56)*(-161)/g.
132
Let b = -558622/105 + 106389/20. Let t = b + 1/105. What is the common denominator of t and 99/2?
4
Let m = 7 + 15. Let f = 100 - 54. Calculate the lowest common multiple of m and f.
506
Let l = -13 + 16. Suppose -l*y = 2*y. Suppose v - i = -2, -8*v + 4*v - i + 17 = y. Calculate the lowest common multiple of 9 and v.
9
Let y(i) = i**2 + 11 - 10*i**2 + 2*i**3 - 15*i**2 + 5*i**2 + 9*i. What is the lowest common multiple of 9 and y(9)?
99
Let b = 7 + 0. Let y = b - 13. Find the common denominator of 115/6 and 9 + y - 14/4.
6
Let o = -8 - -6. Let u be ((-44)/o)/(40/(-1812)). Let h = -84516/85 - u. Find the common denominator of 19/3 and h.
51
Let o = 195 + -179. Calculate the lowest common multiple of 9 and o.
144
Suppose 0 = -42*k + 15 + 69. Calculate the smallest common multiple of k and 3.
6
Let m = 58 - 33. Suppose -11*u = 25*u + 504. Let j = m + u. What is the lowest common multiple of 11 and j?
11
Let c(t) = t**3 + 18*t**2 - 11*t + 12. What is the | {
"pile_set_name": "DM Mathematics"
} |
000). Round m to the nearest one hundred thousand.
1400000
Let r = 0.072082 + -0.072. Round r to five dps.
0.00008
Let y = -36.2442 - -59.159. Let x = y + -0.0148. Let t = x - 21.87. Round t to 1 decimal place.
1
Suppose -3*u - 4*q = -0*q + 23, 5*u + q = -10. Let g(c) = -24502*c**2. Let j be g(u). Let k be j/(-7) + (-4)/14. What is k rounded to the nearest one thousand?
4000
Let m = -226360.499991 - -226359.1. Let x = 37 + -35.6. Let g = m + x. Round g to six dps.
0.000009
Let z = -7.8488 + -0.2072. Let a = z - -8. Let t = a - -0.056137. What is t rounded to 5 dps?
0.00014
Let j(v) = -2*v**2 - 40*v - 24. Let r be j(-16). Round r to the nearest 10.
100
Let g = 12.25 + 1.45. What is g rounded to the nearest integer?
14
Let w = 60 + -60.029. What is w rounded to three dps?
-0.029
Let u = -0.3500024 + 0.35. Round u to 6 dps.
-0.000002
Let h(n) = -n**2 - n - 12862900. Let k be h(0). Suppose -5*r - 32814485 = -5*v, 5*v = 3*r - 0*r + 32814491. Let j = k + v. Round j to the nearest one million.
-6000000
Let a = -65015729.000017 + 65015696. Let y = 33 + a. What is y rounded to five decimal places?
-0.00002
Let r = -0.18100086 + 0.181. Round r to seven dps.
-0.0000009
Let z(q) = q**3 + q - 93. Let l be z(0). Round l to the nearest ten.
-90
Let r = -236.99859 - -237. Round r to four dps.
0.0014
Suppose -2*h + 1988 = -6098. Let r = h - 7143. What is r rounded to the nearest one thousand?
-3000
Let q = -0.025553 + 0.0253. What is q rounded to five decimal places?
-0.00025
Suppose 0 = -2*y - 5*r - 16, 4*y - 6*y - 8 = r. Let a be (-929)/((1*-3)/y). Let w = 429 + a. What is w rounded to the nearest one thousand?
-1000
Suppose -4*w = w. Suppose 5*g - 15 = -w. Let b be g/9 + 436/6. What is b rounded to the nearest 10?
70
Let w = -4549 - -2449. What is w rounded to the nearest 1000?
-2000
Let l(m) = -2*m - 181372*m**2 - 5 - 396405*m**2 + 4. Let k be l(3). Round k to the nearest one million.
-5000000
Let w = 34 - 33.99969. Round w to 4 decimal places.
0.0003
Let r = -5 + 4. Let b = -0.91 - r. What is b rounded to one dp?
0.1
Let a = -388 - -257. Let f = 14998092 - 14997960.99882. Let c = a + f. Round c to four dps.
0.0012
Let n = 50777 - 50776.74997. Let z = -0.25 + n. What is z rounded to four dps?
0
Let b = -52 + -14. What is b rounded to the nearest ten?
-70
Suppose -5*o - 77004 = -g, g = -0*o + 3*o + 46204. Round o to the nearest 1000.
-15000
Suppose -3*d = 3*c - 6, -3*d + 0*d + 10 = 5*c. Suppose 4*z - 152980 = -c*s - s, 5*z = 5*s - 255025. What is s rounded to the nearest ten thousand?
50000
Let x = 2238.06 - 2243.86109. Let d = 5.8 + x. Round d to 4 dps.
-0.0011
Let v = 1.39476 + -1.594702. Let x = -2.2 - -2. Let y = x - v. What is y rounded to five dps?
-0.00006
Let z = -4850525 - -4850525.10000068. Let o = -0.1 + z. Round o to seven dps.
0.0000007
Let s = 3.94 + -4. Let d = -619327 - -619327.06000104. Let n = d + s. Round n to seven dps.
0.000001
Let q = 52 - 77. Let g = 7 + q. Let w = -18.00000022 - g. What is w rounded to 7 decimal places?
-0.0000002
Let o(d) = 3 + 24*d**2 - 2*d - 7 + 35*d**2. Let r be o(-7). Suppose -t - r - 4199 = 0. What is t rounded to the nearest 1000?
-7000
Let w(l) = -31999*l + 2. Let f be w(-2). What is f rounded to the nearest 10000?
60000
Let q = -263 + 402. Let p = 2657688409.40000061 - 2657688548.4. Let z = p + q. Round z to seven decimal places.
0.0000006
Let g = -12.0000003 + 12. Round g to six dps.
0
Let t = 219.5 + -213. Round t to the nearest integer.
7
Let b = 178 - 42. Let d = b + -135.9999881. Round d to six dps.
0.000012
Let h(i) = -2*i. Let p(q) = 2*q + 1. Let n(v) = -3*h(v) - 4*p(v). Let o be n(-2). Round o to six decimal places.
0
Let u = 1.01 - 0.62. Let h = u - 0.352. Round h to 2 dps.
0.04
Let k = -0.15449 - -0.156. Round k to 4 decimal places.
0.0015
Let l(c) = -599*c**3 - c. Let y be l(-1). Suppose n - y = 2*n. What is n rounded to the nearest one thousand?
-1000
Let m = 12905.26 - 9011.93. Let w = m - 3917. Let n = w + 25.5. Round n to one dp.
1.8
Let z = 0 - 0.1. Let d = 9.0975 - 9. Let p = z + d. Round p to 3 dps.
-0.003
Let q be (2/(-2))/3*-3. Let f(n) = -5400001*n**2 + 2*n - 1. Let h be f(q). Round h to the nearest 1000000.
-5000000
Let i = -0.09999965 + 0.1. Round i to 7 decimal places.
0.0000004
Let j = -2.26 + -0.34. Let f = -16423.4037 + 16426. Let l = f + j. Round l to three decimal places.
-0.004
Let b be (-288000016)/48 - (-2)/6. Round b to the nearest one million.
-6000000
Let u = -0.01 + -0.19. What is u rounded to 0 dps?
0
Let r = 24037692 - 14237692. What is r rounded to the nearest 1000000?
10000000
Let r = -6 - -7. Suppose t = -r - 1. Let z(a) = -876*a**3 - 2*a**2 - a - 2. Let c be z(t). Round c to the nearest ten thousand.
10000
Let q = 32.21 + 0.79. Let m = q - 39.7. What is m rounded to the nearest integer?
-7
Let a = -8.84 + -0.16. Let m = 8.99995 + a. Round m to 4 decimal places.
-0.0001
Suppose 158 = 4*y - 5*y - n, 0 = -2*y + 3*n - 311. Let k = 33 - y. What is k rounded to the nearest ten?
190
Let x = 36.5 + -22. Let b = 12 - x. Let i = b + 2.5086. What is i rounded to three dps?
0.009
Suppose 0 = 3*h - 4*i - 12, 2*h + 4*i = -h + 12. Suppose 4*y - 40 - 36 = 0. Let t be (y/(-2))/((-2)/h). Round t to the nearest ten.
20
Let t = -71.99999971 + 72. Round t to seven decimal places.
0.0000003
Let a(j) = -6887*j + 9. Let i be a(-9). Suppose 4*h + i = y, 0 = -h + 3*h - 4. Suppose -6*b - y = -4*q - b, b = -q + 15500. Round q to the nearest 1000.
16000
Let y(v) = 5 - 4 - 1 + 16*v - 4. Let q be y(4). Round q to the nearest 10.
60
Let m = -0.09 - -0.154. What is m rounded to two dps?
0.06
Let a(f) = -f**3 + f**2. Let l(u) = -u**3 + 8*u**2 + 3*u + 2. Let n(m) = 2*a(m) - l(m). Let g = 12 - 15. Let k be n(g). Round k to the nearest 10.
-20
Let h = -0.009 - -0.008999682. Round h to seven dps.
-0.0000003
Let v = 0 + -0.4. Let x = -0.1 - v. Let g = -0.2972 + x. What is g rounded to three dps?
0.003
Let n = -6 + 3. Let a be (-8)/n - (-6)/18. Suppose -a*t - 190 = -t. What is t rounded to the nearest ten?
-100
Let w = 59.1 + -65. Let m = w - -6. What is m rounded to two decimal places?
0.1
Let k(m) = -m - 14. Let g be k(-14). Suppose -2*n + 0*n + 114000 = g. What is n rounded to the nearest ten thousand?
60000
Let c = 14 - 9. Suppose 5*u - 4*v + 339996 = 3*u, -u - 170005 = c*v. What is u rounded to the nearest one hundred thousand?
-200000
Let x be 2 - 0/(-5 + 2). Suppose 27 - 139 = -x*p. What is p rounded to the nearest 10?
60
Let x = 236 - 259.4. Let i = 4.4 + x. Let v = -19.000052 - i. Round v to 5 dps.
-0.00005
Let g = -0.97 - -1. Let c = -363134 + 363133.96999984. Let k = c + g. Round k to 7 decimal places.
-0.0000002
Let q = -150 - -150.00139. What is q rounded to 4 decimal places?
0.0014
Let k = 21 + -20.75. What is k rounded to 1 dp?
0.3
Suppose -14 = 3*a + 4. Let q(o) = -172459*o. Let c be q(a). Suppose -13965246 = 3*x + c. Round x to the nearest one million.
-5000000
Suppose g - 63 = -0*g. What is g rounded to the nearest 10?
60
Let s = 4598.58864 - 4599. Let c = s - -0.41. What is c rounded to 4 decimal places?
-0.0014
Let m = 19 + -14. Suppose 0 = -u - 4*u + q + 1226, m*u - 1227 = 2*q. What is u rounded to the nearest 10?
250
Let f = 31 + -12. Let x = f + -12. Let o(p) = 7*p**2 + 2*p - 7. Let q be o(x). What is q rounded to the nearest one hundred?
400
Let p be -128999 + -6 - (1 + -6). What is p rounded to the nearest 10000?
-130000
Suppose -4*p = -6 + 26. Let b be (-2)/p - 3156/15. What is b rounded to the nearest 100?
-200
Let s be (-4 - -1)/(-1) - 2. Let h be (269993*s - -2) + 1. Suppose 5*a + 2*x = -h, -a - 3*a - 215994 = 3*x. What is a rounded to the nearest 10000?
-50000
Let y = 0.1 - 0.1024. What is y rounded to three decimal places?
-0.002
Let f(u) = -1 + u**2 + 750*u**3 - 5 + 5. Let j be f(1). Let s be (4/(-3))/(4/j). Round s to the nearest 100.
-300
Let q = -0.952 + 0.599. Let n = -81.063 - -81. Let f = n - q. What is f rounded to one decimal place?
0.3
Let v = 0.2 - 0.20031. What is v rounded to four decimal places?
-0.0003
Let x = -0.07 - -0.87. Let j = x - 0.8000065. Round j to six dps.
-0.000007
Suppose 0 = -5*v + 3*t, -3*v - 2*v + 25 = 2*t. Let b(a) = 5005*a**3 + 11657*a**3 + 2245*a**v + 3*a**2. Let m be b(-4). What is m rounded to the nearest 100000?
-1200000
Let b be 0/(- | {
"pile_set_name": "DM Mathematics"
} |
-1
Let p(v) = -3762*v - 22569. Determine p(-6).
3
Let s(a) = a**3 + 4*a**2 - 20*a - 70. What is s(-6)?
-22
Let t(p) = 67*p - 374. Calculate t(0).
-374
Let o(z) = -8*z**3 - 88*z**2 - 16*z - 38. What is o(-11)?
138
Let s(t) = 115*t + 194. Determine s(-4).
-266
Let i(r) = -233*r + 574. Calculate i(3).
-125
Let l(y) = 2*y**3 - y**2 + 2*y + 120. Calculate l(0).
120
Let f(i) = -15*i**2 - 233*i - 747. Determine f(-11).
1
Let n(l) = 199*l + 13000. Determine n(-65).
65
Let m(f) = -44*f - 3838. Give m(-87).
-10
Let j(n) = -39*n - 3263. What is j(-84)?
13
Let g(o) = -o**3 + 7*o**2 + 91*o - 641. Give g(10).
-31
Let j(v) = -22*v + 1863. Give j(85).
-7
Let c(p) = -63*p**2 + 3466*p - 57. Determine c(55).
-2
Let c(t) = -238*t + 948. Give c(4).
-4
Let w(h) = 20*h + 391. What is w(-22)?
-49
Let h(y) = -56*y - 283. Calculate h(-5).
-3
Let v(q) = -q**3 + 24*q**2 - 101*q - 1. Give v(6).
41
Let h(u) = -20*u**3 - 82*u**2 - 7*u + 9. Determine h(-4).
5
Let c(z) = -110*z + 988. What is c(9)?
-2
Let c(z) = 2*z**3 + 110*z**2 + z + 36. Calculate c(-55).
-19
Let c(f) = 37*f**3 + 2*f**2 + 6*f + 5. Calculate c(-1).
-36
Let a(j) = 3203*j + 9620. Give a(-3).
11
Let r(i) = -i**3 - 4*i**2 + 10*i + 26. What is r(-5)?
1
Let l(i) = -i**2 + 2658*i + 34710. What is l(-13)?
-13
Let k(g) = -13*g**2 + 274*g - 19. Calculate k(23).
-594
Let x(s) = 4*s**2 + 90*s + 44. Calculate x(-22).
0
Let b(j) = 14*j**2 - 28*j + 14. Give b(6).
350
Let v(g) = 5*g**2 + 210*g + 221. Give v(-41).
16
Let o(u) = -u**3 - 11*u**2 - 2*u - 13. Give o(-8).
-189
Let b(g) = g**3 - 11*g**2 - 3*g + 17. Determine b(11).
-16
Let t(c) = -4*c - 28. Calculate t(-1).
-24
Let b(k) = -k**3 - 35*k**2 + 550*k - 660. Determine b(-47).
-2
Let d(c) = -c**3 + 7*c**2 - 26*c + 160. Calculate d(7).
-22
Let r(l) = 121*l**3 + 2*l**2 - 24*l + 22. What is r(1)?
121
Let l(v) = -6*v**2 - 159*v - 690. Calculate l(-21).
3
Let c(l) = 5*l + 28. Give c(1).
33
Let z(l) = l + 79. Determine z(-10).
69
Let o(y) = -1430*y - 60058. What is o(-42)?
2
Let b(w) = -w**2 + 9*w - 17. Determine b(5).
3
Let j(s) = 306*s + 1847. Give j(-6).
11
Let i(v) = 144*v**2 - 26*v + 44. Determine i(2).
568
Let h(n) = 3*n**3 - 119*n**2 + 76*n + 79. What is h(39)?
1
Let a(k) = k**2 - 19*k + 79. Calculate a(16).
31
Let j(y) = 69*y + 74. Determine j(7).
557
Let r(w) = -2*w**2 - 27*w - 59. Give r(-3).
4
Let p(g) = -g**2 + 104*g - 488. Calculate p(5).
7
Let w(i) = i**2 - 105*i + 479. Give w(5).
-21
Let t(c) = 3*c**2 - 10*c - 25. What is t(6)?
23
Let n(x) = 5*x**3 - 157*x**2 + 66*x - 127. Determine n(31).
-3
Let j(l) = l**3 - 25*l**2 + 25*l + 26. What is j(24)?
50
Let y(f) = f**2 + 84*f + 19. Determine y(0).
19
Let y(b) = 3*b**3 + 37*b**2 + 12*b + 9. What is y(-12)?
9
Let j(g) = g**3 - 110*g**2 + 996*g - 227. Calculate j(100).
-627
Let s(y) = 3*y**3 + 15*y**2 - 42*y - 14. Calculate s(-7).
-14
Let o(s) = -s**3 - 5*s**2 + 568*s + 2280. Give o(-4).
-8
Let t(f) = -2*f**3 + 60*f**2 - 58*f - 3. What is t(29)?
-3
Let l(g) = -8*g**2 + 445*g - 444. What is l(1)?
-7
Let t(b) = -991*b + 5. Calculate t(0).
5
Let d(g) = 15*g + 148. What is d(-5)?
73
Let r(l) = -l**3 + 84*l**2 - 88*l + 404. Give r(83).
-11
Let s(x) = -66*x**2 - 6346*x - 959. Determine s(-96).
1
Let h(z) = -z**3 - 62*z**2 + 130*z - 16. Give h(2).
-12
Let m(d) = d**3 + 48*d**2 + 592*d + 1925. Calculate m(-12).
5
Let y(r) = -6*r + 25. Give y(6).
-11
Let o(t) = t**3 + 10*t**2 + 29*t + 15. Determine o(-7).
-41
Let s(g) = -5*g**2 - 235*g - 72. Give s(-46).
158
Let x(s) = -2*s**2 + 23*s + 756. Calculate x(26).
2
Let v(i) = i**3 - 13*i**2 - 17*i + 61. Determine v(14).
19
Let d(b) = 391*b + 3975. Calculate d(-10).
65
Let v(c) = c**3 + 33*c**2 - c + 205. Determine v(-33).
238
Let z(h) = -h**2 + 37*h - 167. Determine z(29).
65
Let r(w) = -w**3 + 29*w**2 - 152*w - 12. What is r(7)?
2
Let z(p) = 172*p - 2023. Give z(10).
-303
Let j(x) = x**3 + 15*x**2 - 36*x - 33. What is j(-13)?
773
Let m(r) = 44*r**3 + 3*r**2 + 35*r + 37. Determine m(-1).
-39
Let g(f) = -6*f**3 - 26*f**2 - 43*f + 19. What is g(-2)?
49
Let c(p) = p**3 - 10*p**2 - 42*p - 6. Calculate c(13).
-45
Let l(f) = 3*f**3 + 6*f + 562. Determine l(0).
562
Let o(g) = g**3 + g**2 + 6*g + 33. Calculate o(-3).
-3
Let x(p) = 53*p**3 + p**2 + 3*p + 1. Give x(-1).
-54
Let t(i) = -i**2 + 32*i - 99. What is t(31)?
-68
Let m(r) = r**3 + 2*r**2 - 211*r - 1153. Calculate m(-6).
-31
Let w(i) = 15*i**3 + 2*i**2 + 2*i - 1. Calculate w(1).
18
Let b(y) = -9*y**2 + 273*y + 192. What is b(31)?
6
Let u(w) = 482*w - 487. Give u(1).
-5
Let o(x) = 304*x + 1236. What is o(-5)?
-284
Let t(g) = g**3 - 35*g**2 + 66*g - 2. Calculate t(33).
-2
Let z(y) = y**3 + 7*y**2 - 33*y - 177. What is z(-6)?
57
Let v(l) = -l**3 - 3*l**2 - 13*l - 16. Calculate v(-4).
52
Let n(q) = -814*q - 16302. Calculate n(-20).
-22
Let g(b) = 36*b**3 - b**2 + 65*b - 125. Determine g(2).
289
Let l(r) = 2*r**2 - 284*r + 9442. Give l(89).
8
Let o(z) = 63*z - 671. What is o(11)?
22
Let x(s) = 29*s + 7. Calculate x(5).
152
Let h(o) = 16713*o + 33414. Calculate h(-2).
-12
Let x(c) = -c**3 - 26*c**2 + 289*c + 1902. Calculate x(-33).
-12
Let f(v) = -v**3 - 14*v**2 - 7*v + 91. Determine f(-11).
-195
Let i(f) = f**3 + 11*f**2 - 30*f - 73. Give i(-11).
257
Let a(p) = -3*p**3 - 3*p**2 - 4*p + 3. Calculate a(-5).
323
Let u(s) = -3*s**2 - 194*s + 474. What is u(-65)?
409
Let s(q) = 2*q**2 + 237*q + 1961. Give s(-8).
193
Let c(j) = -127*j**3 - 2*j**2 + 3*j + 4. Calculate c(-1).
126
Let w(x) = -10*x**2 + 124*x - 57. Calculate w(12).
-9
Let f(q) = 7*q**3 + 247*q**2 + 71*q + 27. What is f(-35)?
-8
Let v(p) = 405*p + 2037. What is v(-5)?
12
Let v(d) = d**2 + 41*d + 140. Calculate v(-4).
-8
Let y(p) = -p**2 + 278*p - 18031. Give y(175).
-6
Let l(c) = c**2 + 3*c + 1. Give l(-2).
-1
Let z(p) = -4*p**3 + 9*p**2 - 30*p + 50. Calculate z(3).
-67
Let z(o) = 705*o + 4189. Give z(-6).
-41
Let t(i) = -35*i**2 + i - 19. Give t(3).
-331
Let p(c) = c**2 + 259*c + 6866. What is p(-30)?
-4
Let n(h) = -33*h**3 + 8*h**2 - 22*h + 13. Determine n(1).
-34
Let c(r) = 52*r + 1602. Determine c(-30).
42
Let i(s) = s**3 - 5*s**2 + 21*s - 69. Give i(5).
36
Let c(i) = 5*i**3 + 7*i**2 + 5*i - 7. Give c(3).
206
Let n(u) = -7*u + 430. Give n(63).
-11
Let s(m) = -3*m**3 - 14*m**2 - 16*m - 5. Give s(-5).
100
Let b(t) = 57*t**3 + 2*t**2 - 7*t - 9. Give b(-1).
-57
Let l(d) = -2*d**2 + 12*d + 97. Calculate l(18).
-335
Let r(x) = 3*x + 72. Give r(-22).
6
Let x(a) = a**3 + 734*a**2 + 2194*a + 13. Give x(-3).
10
Let k(a) = 167*a + 8. What is k(-1)?
-159
Let q(u) = u**2 + u + 7. Calculate q(8).
79
Let x(m) = -m**3 + 16*m**2 + 216*m + 232. Give x(25).
7
Let y(c) = -38*c - 3092. What is y(-81)?
-14
Let f(t) = 1055*t - 24249. Give f(23).
16
Let h(o) = -424*o + 17391. Calculate h(41).
7
Let o(w) = -2*w**3 - 12*w**2 - 68*w - 416. What is o(-6)?
-8
Let y(x) = x**3 - 6*x**2 - 11*x + 62. Give y(8).
102
Let o(x) = -3*x**3 - 110*x**2 + 9*x - 1022. Calculate o(-37).
14
Let k(h) = h**3 + 14*h**2 - 7*h + 127. Calculate k(-15).
7
Let k(w) = -412*w + 1535. Give k(5).
-525
Let d(y) = -174*y + 1701. Calculate d(10).
-39
Let o(z) = z**2 + 1216*z - 14735. Calculate o(12).
1
Let d(q) = q**2 + q - 5. What is d(-4)?
7
Let q(m) = -4*m + 143. Calculate q(22).
55
Let h(s) = -13920*s + 264484. Give h(19).
4
Let z(c) = c**3 + 58*c**2 + 2*c + 90. Calculate z(-58).
-26
Let i(c) = -60*c + 6909. Calculate i(115).
9
Let t(k) = 142*k + 1003. Determine t(-7).
9
Let z(n) = n**3 + n**2 - 8*n + 2. What is z(2)?
-2
Let g(s) = -5*s**2 - 83*s + 9198. What is g(-52)?
-6
Let s(p) = 2*p**3 - 318*p**2 + 1829*p + 1082. Determine s(153).
11
Let b(s) = -85*s - 1699. Give b(-20).
1
Let z(f) = -f**2 + 60*f + 534. What is z(68)?
-10
Let z(k) = -k**2 + 35*k + 194. Give z(-5).
-6
Let s(v) = 13*v**2 - 245*v + 25. Determine s(19).
63
Let f(t) = 333*t - 3002. Determine f(9).
-5
Let q(a) = -3*a**3 + 19*a**2 + 24*a - 60. Calculate q(7).
10
Let a(c) = -15*c - 283. Calculate a(-14).
-73
Let d(i) = -3*i + 143. What is d(42)?
17
Let u(o) = -o**3 + 12*o**2 - 24*o - 65. What is u(10)?
-105
Let l(a) = -5*a**2 - 34*a + 55. What is l(-8)?
7
Let a(b) = b**2 - 45*b + 321. What is a(23)?
-185
Let y(q) = -6*q**2 + 39*q + 302. Determine y(-5).
-43
Let k(w) = -3*w**2 + 73*w - 288. What is k(5)?
2
Let j(f) = -12*f**3 + 13*f**2 + 18*f - 4. Calculate j(1).
15
L | {
"pile_set_name": "DM Mathematics"
} |
-5
Sort -17, -0.1, 294.
-17, -0.1, 294
Sort -475, 2, 16.
-475, 2, 16
Sort -57, -0.1, 4, -5/28 in ascending order.
-57, -5/28, -0.1, 4
Sort 42, 3, -1, -4, 765, -5.
-5, -4, -1, 3, 42, 765
Sort -4, -2, 524, 5, -184 in descending order.
524, 5, -2, -4, -184
Sort -3107, -6, -4 in ascending order.
-3107, -6, -4
Put 1, 2, 0, 2/41, -361 in decreasing order.
2, 1, 2/41, 0, -361
Put 96, -3, 2, 3, -4 in descending order.
96, 3, 2, -3, -4
Sort -2, 26, 12, 5, -4 in descending order.
26, 12, 5, -2, -4
Sort -0.08, -0.4, -4/5, 0.09889, -3 in descending order.
0.09889, -0.08, -0.4, -4/5, -3
Put -4, 4, -383774 in descending order.
4, -4, -383774
Sort 9/7, 3/5, -4, -3, -3/5 in decreasing order.
9/7, 3/5, -3/5, -3, -4
Sort 4, 10, -2, 1348, -5.
-5, -2, 4, 10, 1348
Put -2, 57, 0, 1, -39 in decreasing order.
57, 1, 0, -2, -39
Sort 5, 31, 0, 13.
0, 5, 13, 31
Sort -1, -29045, 4.
-29045, -1, 4
Sort -0.5, 23, -1/3, -4/3, -14 in descending order.
23, -1/3, -0.5, -4/3, -14
Sort -5160, -3, -164 in decreasing order.
-3, -164, -5160
Put -4, 0.2, 8, -3/5, 5 in increasing order.
-4, -3/5, 0.2, 5, 8
Sort 16, 2, 9, 0, 43, 1 in decreasing order.
43, 16, 9, 2, 1, 0
Sort -1, -5, 0.4, 8, -3/5, 3/2.
-5, -1, -3/5, 0.4, 3/2, 8
Sort -5, -488, -3 in descending order.
-3, -5, -488
Put -2231, -4, 2/11, -4/5, 34/7 in ascending order.
-2231, -4, -4/5, 2/11, 34/7
Sort 21, -2748, 2.
-2748, 2, 21
Sort 4, 518, 8.
4, 8, 518
Put 4, -13/674, 1.4, 1/5 in ascending order.
-13/674, 1/5, 1.4, 4
Sort -6, 3, -5, -25, 19 in decreasing order.
19, 3, -5, -6, -25
Put -3, 27, -770 in descending order.
27, -3, -770
Sort 0, -3, -5869 in increasing order.
-5869, -3, 0
Put -2/5, 18/11, 0.4, -0.164 in increasing order.
-2/5, -0.164, 0.4, 18/11
Sort 5, -0.061, 2/5, -1928 in descending order.
5, 2/5, -0.061, -1928
Sort 1, -82, -1224, 2 in increasing order.
-1224, -82, 1, 2
Put 1/12, -2, 0.0498 in decreasing order.
1/12, 0.0498, -2
Sort -21, 1/3, -10, -1/2, 0.6, 4/7 in increasing order.
-21, -10, -1/2, 1/3, 4/7, 0.6
Put 1, 2, 4, -21, -63 in decreasing order.
4, 2, 1, -21, -63
Sort 15/7, 7, -1/3, 2/9, -9 in ascending order.
-9, -1/3, 2/9, 15/7, 7
Sort 10, 2, 4, 23, 0, -4 in descending order.
23, 10, 4, 2, 0, -4
Sort -3/10, 0.4, -2/15, 1, 4 in ascending order.
-3/10, -2/15, 0.4, 1, 4
Sort 1, 3, -20, 141 in decreasing order.
141, 3, 1, -20
Sort -1, 7, 2, -5, 1, 6211.
-5, -1, 1, 2, 7, 6211
Put -3/55, -6, 11, 0.1 in descending order.
11, 0.1, -3/55, -6
Sort -6, -4, -2/7, 905, -2 in ascending order.
-6, -4, -2, -2/7, 905
Sort -6, 74, 5, 3, 0, 7.
-6, 0, 3, 5, 7, 74
Sort 5, -5, 3, -4, 2, 2019 in decreasing order.
2019, 5, 3, 2, -4, -5
Sort 1, -4, -5, -28, 3.
-28, -5, -4, 1, 3
Sort -1/40, 1.1, 0.2, -2/7, 2 in decreasing order.
2, 1.1, 0.2, -1/40, -2/7
Sort -93, 19, -24, 5.
-93, -24, 5, 19
Put -2, 7, 1, 1408 in increasing order.
-2, 1, 7, 1408
Sort 166, 1, 4, 7, -3, 0.
-3, 0, 1, 4, 7, 166
Put -2/11, 6/5, -469/2 in increasing order.
-469/2, -2/11, 6/5
Put 5, -0.5, 0.07, 6/23, -1 in ascending order.
-1, -0.5, 0.07, 6/23, 5
Sort -2, -4, -32, -1, 74, 1 in increasing order.
-32, -4, -2, -1, 1, 74
Sort 143, 5, -2.
-2, 5, 143
Put 2, 1, -29, -20, 4, -1 in descending order.
4, 2, 1, -1, -20, -29
Put 272, 3, -1, -3, -103 in decreasing order.
272, 3, -1, -3, -103
Put 4, 3, -0.3, -3, 1/2, -129 in decreasing order.
4, 3, 1/2, -0.3, -3, -129
Sort 1951, -3, -5.
-5, -3, 1951
Put -49, -11, -245 in descending order.
-11, -49, -245
Put -60, 18, 53 in descending order.
53, 18, -60
Put 3/2, -2/1229, 1370 in decreasing order.
1370, 3/2, -2/1229
Sort -3/13, 1/2, 1/9, -6.
-6, -3/13, 1/9, 1/2
Sort -4, 3, 301, -2 in increasing order.
-4, -2, 3, 301
Put 0, 19, -20, -2, -62, 2 in ascending order.
-62, -20, -2, 0, 2, 19
Put -3495, 1, -7 in decreasing order.
1, -7, -3495
Put 0, -2, 4, -3948 in increasing order.
-3948, -2, 0, 4
Sort 44, -2, -0.079 in increasing order.
-2, -0.079, 44
Put 332, 4, -1435, -4 in increasing order.
-1435, -4, 4, 332
Sort 3, -2, -8, -29, 77.
-29, -8, -2, 3, 77
Sort 2, 5, 1, 136, -645 in ascending order.
-645, 1, 2, 5, 136
Sort -0.4, -0.5, -3/5, -128/205 in ascending order.
-128/205, -3/5, -0.5, -0.4
Sort -35859, 7, -9.
-35859, -9, 7
Sort 769, -3, 3, 25, -5 in increasing order.
-5, -3, 3, 25, 769
Sort -2, -11, 1, -1, 5, 59 in increasing order.
-11, -2, -1, 1, 5, 59
Put -4, -7, 2, 6, 4, -17 in descending order.
6, 4, 2, -4, -7, -17
Put -1/2, 2/7, 1, 2/11, 92, 4 in ascending order.
-1/2, 2/11, 2/7, 1, 4, 92
Put -6, -3, -313, 13 in descending order.
13, -3, -6, -313
Sort 3, 100, -1, 6.
-1, 3, 6, 100
Put -1516, 4/11, -0.2, 3/5, 0.4 in decreasing order.
3/5, 0.4, 4/11, -0.2, -1516
Put -33, 3, -7, -3, -50 in descending order.
3, -3, -7, -33, -50
Put 7, -0.1, 13/4, 0, -2/11, 0.2 in decreasing order.
7, 13/4, 0.2, 0, -0.1, -2/11
Sort -3, 54, -12, 5, 28 in decreasing order.
54, 28, 5, -3, -12
Sort -5, -3, 53, 3, 1, 0 in decreasing order.
53, 3, 1, 0, -3, -5
Sort 8/21, -1, -12, -1/4 in ascending order.
-12, -1, -1/4, 8/21
Sort -2/143, 2, -0.2, 0, 2/57.
-0.2, -2/143, 0, 2/57, 2
Sort -4, -8, -25, 4, 3, -5.
-25, -8, -5, -4, 3, 4
Sort 1, -10, 2, -1, 129, 5.
-10, -1, 1, 2, 5, 129
Sort 2, 0.03, 0.31 in descending order.
2, 0.31, 0.03
Put -5, -2/3, 0.3, -0.8, 5/3 in descending order.
5/3, 0.3, -2/3, -0.8, -5
Sort 37, 21, 1, -834 in descending order.
37, 21, 1, -834
Put 10451, 5, 0.8 in descending order.
10451, 5, 0.8
Put -0.0986, -4, -1 in decreasing order.
-0.0986, -1, -4
Put 1/2, -0.6, -14/125, 2 in ascending order.
-0.6, -14/125, 1/2, 2
Put -4, 0.4, 1.33, 4/15, -5 in ascending order.
-5, -4, 4/15, 0.4, 1.33
Put 0, 3, 20854 in decreasing order.
20854, 3, 0
Sort -2, 5, -3, -32000 in decreasing order.
5, -2, -3, -32000
Put -9, -0.5, 9, -19, 6, -6 in decreasing order.
9, 6, -0.5, -6, -9, -19
Sort -2, -6, 0.03, 11, -4, -128.
-128, -6, -4, -2, 0.03, 11
Put -1, -2/3, 56307 in increasing order.
-1, -2/3, 56307
Sort -3, 105, -44, 0, 4, -5 in descending order.
105, 4, 0, -3, -5, -44
Sort 1, 3, -2877, 2 in ascending order.
-2877, 1, 2, 3
Put 22/5, 9, 2/3, -0.4, -61 in increasing order.
-61, -0.4, 2/3, 22/5, 9
Sort -1087, 2/9, -1/4, 0.2, 2 in increasing order.
-1087, -1/4, 0.2, 2/9, 2
Put 2, -362, -4, 5, 9, 19 in decreasing order.
19, 9, 5, 2, -4, -362
Put -4, 2, 5, -1/5, -59.8, 0.2 in decreasing order.
5, 2, 0.2, -1/5, -4, -59.8
Sort -5, 17, -2, -49, -1 in ascending order.
-49, -5, -2, -1, 17
Sort -2, 5, 8, -23, -418, 2 in decreasing order.
8, 5, 2, -2, -23, -418
Put 2/117, 3/28, -1, 5 in ascending order.
-1, 2/117, 3/28, 5
Sort -5, 12, 0, 4, -6, -9 in increasing order.
-9, -6, -5, 0, 4, 12
Put 1, -3750, -4 in descending order.
1, -4, -3750
Sort -0.3, -1530/13, -89 in increasing order.
-1530/13, -89, -0.3
Sort -221, 0.1, -459.
-459, -221, 0.1
Put -54938, -1/4, -2 in ascending order.
-54938, -2, -1/4
Sort -1/6, 53, -99, 0.3, 5, -3 in increasing order.
-99, -3, -1/6, 0.3, 5, 53
Put 3/2, 5, 842.32, 0.1 in increasing order.
0.1, 3/2, 5, 842.32
Sort -4/3, -5, 2/321, -0.03, -3 in ascending order.
-5, -3, -4/3, -0.03, 2/321
Sort -3, -16, 3, 107, 4 in decreasing order.
107, 4, 3, -3, -16
Put -10, 4, -5, 35, -16, -2 in increasing order.
-16, -10, -5, -2, 4, 35
Sort 4/3, 7888, 1.4 in ascending order.
4/3, 1.4, 7888
Put -13399, -3/7, -1, 4/5 in increasing order.
-13399, -1, -3/7, 4/5
Sort 4, 81, 0.2, -4/3, 0.08 in ascending order.
-4/3, 0.08, 0.2, 4, 81
Put 27, 1, -62864 in increasing order.
-62864, 1, 27
Put -0.4, 14, -12, 3, -2/19, -0.2 in increasing order.
-12, -0.4, -0.2, -2/19, 3, 14
Put 4/95, -3/8, -5, 0.3, 2/9 in descending order.
0.3, 2/9, 4/95, -3/8, -5
Put -5, -69, 0.7, 4, 0.8 in increasing order.
-69, -5, 0.7, 0.8, 4
Sort -326, -1, 0, 2, 3 in ascending order.
-326, -1, 0, 2, 3
Put 0, -2, 16867 in ascending order.
-2, 0, 16867
Put 23, -7, -5, -4, -10 in descending order.
23, -4, -5, -7, -10
Put -2, 5, 20, -19, -23 in decreasing order.
20, 5, -2, -19, -23
Sort 1610/11, 0.2, -14.
-14, 0.2, 1610/11
Put 40/11, 41, 2, -2/7, 1/5 in increasing order.
-2/7, 1/5, 2, 40/11, 41
Sort -4, 2, -3/7, 22/9.
-4, -3/7, 2, 22/9
Put 0, 302, 2, 4, -7, -2 in increasing order.
-7, -2, 0, 2, 4, 302
Sort -8, 102, -1, -16.
-16, -8, -1, 102
Put -5, 3, 32, 15 in decreasing order.
32, 15, 3, -5
Sort -4, -0.2, -7, 2/11, 77, 2/89 in descending order.
77, 2/11, 2/89, -0.2, -4, -7
Put | {
"pile_set_name": "DM Mathematics"
} |
ng 1 n and 2 r.
3/55
Calculate prob of picking 1 m, 1 t, 1 f, and 1 v when four letters picked without replacement from {t: 4, m: 2, i: 9, v: 4, f: 1}.
32/4845
Three letters picked without replacement from aawawwawwwwaa. Give prob of picking 3 a.
10/143
Calculate prob of picking 2 f and 1 u when three letters picked without replacement from {f: 5, t: 8, u: 3}.
3/56
Two letters picked without replacement from rrr. Give prob of picking 2 r.
1
Two letters picked without replacement from {u: 16, y: 4}. Give prob of picking 2 y.
3/95
Calculate prob of picking 1 c and 1 t when two letters picked without replacement from ccocctoooooocooocoo.
2/57
Two letters picked without replacement from tdtdtdttftdddt. What is prob of picking 1 f and 1 t?
1/13
Calculate prob of picking 1 y and 3 o when four letters picked without replacement from soyddvddosvsovvdov.
1/765
Two letters picked without replacement from {m: 2, q: 5, v: 5}. Give prob of picking 1 q and 1 m.
5/33
Calculate prob of picking 2 n when two letters picked without replacement from {n: 15, j: 5}.
21/38
Three letters picked without replacement from hjrrd. What is prob of picking 1 d, 1 h, and 1 r?
1/5
What is prob of picking 1 o and 1 l when two letters picked without replacement from lokvvjvoolvjvvjk?
1/20
Four letters picked without replacement from {v: 3, y: 4, n: 3, s: 1}. Give prob of picking 3 n and 1 v.
1/110
What is prob of picking 1 y, 1 n, and 1 w when three letters picked without replacement from {g: 2, n: 4, o: 2, y: 1, w: 1}?
1/30
Calculate prob of picking 1 v and 2 t when three letters picked without replacement from tgjvgtjtgtjgt.
5/143
Two letters picked without replacement from {e: 4, t: 1, l: 2}. What is prob of picking 2 e?
2/7
Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {q: 1, c: 2, j: 1}.
1/3
Calculate prob of picking 2 o when two letters picked without replacement from {o: 9, n: 7}.
3/10
Four letters picked without replacement from {n: 1, a: 7, p: 2, v: 3, t: 1}. Give prob of picking 1 v, 1 a, and 2 p.
3/143
Calculate prob of picking 1 g, 1 j, and 1 z when three letters picked without replacement from {g: 1, z: 3, j: 1, e: 2}.
3/35
Three letters picked without replacement from xsggsssqxsgqgsx. What is prob of picking 1 x and 2 s?
9/91
What is prob of picking 2 a when two letters picked without replacement from {a: 2, n: 1}?
1/3
Calculate prob of picking 1 o and 3 l when four letters picked without replacement from lollllllllollllllo.
91/204
What is prob of picking 1 a and 1 n when two letters picked without replacement from naz?
1/3
Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {j: 1, y: 3, a: 2, d: 1, m: 1, k: 3}.
1/55
Calculate prob of picking 2 o, 1 r, and 1 e when four letters picked without replacement from {h: 1, v: 2, e: 1, r: 1, o: 9, b: 1}.
12/455
Calculate prob of picking 2 w when two letters picked without replacement from wwkwkwkwkwwwkkwk.
3/10
Calculate prob of picking 4 v when four letters picked without replacement from vvfvmncv.
1/70
What is prob of picking 1 j and 3 q when four letters picked without replacement from jqqqj?
2/5
Two letters picked without replacement from pspws. Give prob of picking 2 s.
1/10
Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {q: 3, b: 1, s: 5, i: 2, c: 5}.
1/24
Two letters picked without replacement from {i: 12, l: 7}. What is prob of picking 2 l?
7/57
Four letters picked without replacement from {o: 1, z: 2, d: 7}. Give prob of picking 1 z and 3 d.
1/3
Calculate prob of picking 1 h and 1 t when two letters picked without replacement from htotoohoh.
1/6
Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {h: 1, k: 1, c: 2, z: 2, e: 1, y: 1}.
1/56
Calculate prob of picking 1 f, 1 q, and 1 t when three letters picked without replacement from {t: 3, y: 10, q: 2, v: 1, h: 2, f: 1}.
2/323
Calculate prob of picking 1 y and 1 r when two letters picked without replacement from rrryrrrrrkrkkyrkrrk.
8/57
What is prob of picking 1 v, 1 p, 1 x, and 1 g when four letters picked without replacement from {h: 1, j: 2, p: 1, g: 1, x: 1, v: 1}?
1/35
What is prob of picking 1 c and 1 t when two letters picked without replacement from cctcccccccqccc?
12/91
Two letters picked without replacement from oereoreofooo. What is prob of picking 1 e and 1 r?
1/11
Calculate prob of picking 3 d and 1 t when four letters picked without replacement from tdsddsds.
2/35
What is prob of picking 1 v and 2 o when three letters picked without replacement from oocbbbbocbobvbbkb?
3/340
Four letters picked without replacement from hssjshjjs. Give prob of picking 3 s and 1 h.
4/63
Four letters picked without replacement from sssiiisisiiisiis. What is prob of picking 4 s?
1/52
Two letters picked without replacement from efvsfvgggg. What is prob of picking 1 g and 1 e?
4/45
Three letters picked without replacement from uuuuu. Give prob of picking 3 u.
1
Calculate prob of picking 3 v when three letters picked without replacement from {v: 9, m: 1, g: 1}.
28/55
What is prob of picking 1 x and 1 q when two letters picked without replacement from qxx?
2/3
Calculate prob of picking 2 n and 2 a when four letters picked without replacement from {n: 2, c: 1, d: 1, a: 2}.
1/15
What is prob of picking 1 p and 1 b when two letters picked without replacement from {b: 2, n: 1, p: 1, s: 1}?
1/5
Calculate prob of picking 3 a when three letters picked without replacement from aaa.
1
Four letters picked without replacement from {q: 2, u: 1, z: 3, o: 3, p: 6}. What is prob of picking 1 p, 1 z, and 2 o?
18/455
Calculate prob of picking 2 b when two letters picked without replacement from {c: 1, b: 17}.
8/9
What is prob of picking 2 b and 1 a when three letters picked without replacement from {b: 2, t: 8, a: 3, h: 4}?
3/680
Three letters picked without replacement from ynmmhmynzm. What is prob of picking 1 n, 1 y, and 1 m?
2/15
Calculate prob of picking 1 o, 2 d, and 1 v when four letters picked without replacement from wovgvdugwogwdv.
6/1001
Calculate prob of picking 3 x when three letters picked without replacement from {u: 7, x: 1}.
0
Three letters picked without replacement from {n: 12, j: 3, d: 2}. What is prob of picking 2 d and 1 n?
3/170
Calculate prob of picking 1 v, 1 s, and 1 d when three letters picked without replacement from {s: 3, v: 6, w: 3, d: 2, a: 1}.
36/455
Calculate prob of picking 1 j and 2 y when three letters picked without replacement from {j: 2, r: 3, y: 1, u: 4, t: 1, p: 1}.
0
Two letters picked without replacement from hjjhccbhnhnhnbjnbn. What is prob of picking 1 n and 1 b?
5/51
Four letters picked without replacement from {d: 1, l: 2, k: 6, j: 3, p: 2, g: 1}. What is prob of picking 1 d, 2 p, and 1 l?
2/1365
Calculate prob of picking 1 q, 1 c, and 1 f when three letters picked without replacement from {s: 1, m: 2, f: 2, c: 1, i: 1, q: 8}.
16/455
Calculate prob of picking 2 x, 1 q, and 1 u when four letters picked without replacement from {x: 9, q: 1, u: 5, z: 1}.
9/91
Calculate prob of picking 1 x and 1 n when two letters picked without replacement from nnnnnnnnnnnxnnnnnn.
1/9
Two letters picked without replacement from lllellllleellll. What is prob of picking 2 e?
1/35
Calculate prob of picking 1 z, 1 r, and 2 c when four letters picked without replacement from {z: 1, n: 1, r: 3, c: 2}.
3/35
Four letters picked without replacement from lvlclbsslbb. What is prob of picking 1 s, 1 l, and 2 b?
4/55
Calculate prob of picking 1 z, 2 c, and 1 k when four letters picked without replacement from {k: 4, r: 6, z: 3, c: 1}.
0
What is prob of picking 1 z and 2 x when three letters picked without replacement from xzddvzddxddddvvdddv?
2/969
Three letters picked without replacement from {c: 8, k: 3, m: 4, j: 2}. Give prob of picking 2 k and 1 j.
3/340
Two letters picked without replacement from ncozrzfc. Give prob of picking 1 n and 1 z.
1/14
Three letters picked without replacement from {w: 1, u: 6, e: 3, x: 7}. What is prob of picking 2 e and 1 x?
21/680
Four letters picked without replacement from {x: 3, l: 1, h: 5, t: 8, w: 1, d: 2}. Give prob of picking 2 x, 1 w, and 1 h.
1/323
Calculate prob of picking 1 l | {
"pile_set_name": "DM Mathematics"
} |
z**7 - 1 + 0*z + 0*z**5 - 4/15*z**6 + 61/12*z**4 - 16*z**2. Find the second derivative of l(p) wrt p.
-12*p**2 - 192*p
Let z(d) = -8*d**4 + 125*d**3 - 280*d**2 + 6. Let n(f) = -2*f**4 - f**3 + 2. Let s(r) = 3*n(r) - z(r). Find the third derivative of s(c) wrt c.
48*c - 768
Let i(b) = -b**3 + 31*b**2 + 33*b - 28. Let o be i(32). Find the third derivative of -7*s**4 + 27*s**2 + 7*s**4 + 32*s**o - 2*s**3 wrt s.
768*s - 12
Let q(w) = -173*w**3 - 7*w**2 - 170*w + 2. Let p(o) = -174*o**3 - 5*o**2 - 171*o + 1. Let l(m) = 3*p(m) - 2*q(m). Find the second derivative of l(s) wrt s.
-1056*s - 2
Let t(k) be the first derivative of 13/2*k**2 - 11 + 31*k + 2/3*k**3. Differentiate t(m) wrt m.
4*m + 13
Let r(w) be the second derivative of 3563*w**4/6 + 9211*w**2/2 - 42*w. Find the first derivative of r(t) wrt t.
14252*t
Suppose 12*r - 418 = 242. Differentiate -r*i**3 - i**4 + 5*i**2 + 17*i**3 + 38*i**3 + 59 with respect to i.
-4*i**3 + 10*i
Suppose 2*w = -5*z + 15, -3*z + 9 = -3*w - w. Suppose -5*n + 4*b = w, -3*b = 5*n - 0*n. What is the first derivative of 12*a + 3 - 4 + n wrt a?
12
Let d(r) = -11*r - 174. Let j be d(-16). Differentiate 108 - 3*v**2 - 3*v**j - 65 - 2*v**3 + 78 with respect to v.
-6*v**2 - 12*v
Let j(m) be the third derivative of -157*m**7/35 - m**4/12 + m**3/6 - 2353*m**2. Differentiate j(h) wrt h.
-3768*h**3 - 2
Let d(k) be the third derivative of -79*k**6/8 + 85*k**4/6 - 33*k**2 + 2*k. What is the second derivative of d(c) wrt c?
-7110*c
Suppose -4 + 16 = 4*p. What is the second derivative of -p*o**2 - 1 - 1186*o**5 + 2319*o**5 - 4*o - 1169*o**5 wrt o?
-720*o**3 - 6
Suppose 0 = -26*t - 79 + 1. Let s(b) = 117. Let z(p) = -p**3 - p**2 + 235. Let m(g) = t*z(g) + 5*s(g). Find the first derivative of m(h) wrt h.
9*h**2 + 6*h
What is the third derivative of 3*d - 35 - 2*d**4 - 266*d**2 + 860*d**3 + 61*d**2 + 35 - 43*d**2 wrt d?
-48*d + 5160
What is the third derivative of 102 + 930*x**3 + 55*x**2 + 89 - 190 wrt x?
5580
Let r(q) be the second derivative of -135*q**5/2 + q**3/6 - 299*q**2/2 - 1574*q. Find the second derivative of r(o) wrt o.
-8100*o
Let w(z) be the first derivative of 1462*z**5/5 + z**2/2 + 3959*z + 14230. Find the second derivative of w(a) wrt a.
17544*a**2
What is the second derivative of 1914*o**2 + o**4 - 358 - 4753*o**2 + 3*o**4 - 7*o**4 + 2107*o**2 - o wrt o?
-36*o**2 - 1464
Let c(v) be the second derivative of 59*v**6/2 + 6784*v**3/3 - 10832*v. What is the second derivative of c(q) wrt q?
10620*q**2
Let r(t) be the first derivative of 79*t**8/1680 + 31*t**4/12 + 27*t**3 - 49. Let q(g) be the third derivative of r(g). What is the derivative of q(i) wrt i?
316*i**3
Let n(w) be the first derivative of -129 - 81 + 4*w**5 + 117*w**3 - 55*w - 23 + 34 - 116*w**3. Differentiate n(v) wrt v.
80*v**3 + 6*v
What is the first derivative of 0*s**2 + 164*s**3 + 0*s**2 + 5*s + 168*s**3 - 8*s + 6656 wrt s?
996*s**2 - 3
Let n(b) be the third derivative of 2*b**7 + 3*b**4 - 175*b**2 + 3. What is the second derivative of n(j) wrt j?
5040*j**2
Suppose -35 = -17*a + 10*a. Find the third derivative of -3812*m**3 + 3749*m**3 - m**2 + a*m**2 wrt m.
-378
Let o(h) = 2*h - 6. Let l be o(-4). Let r = -12 - l. Differentiate 1 - 9*p**3 + r + 0 + 29*p**3 with respect to p.
60*p**2
Let w(d) = -456*d**2 + 1242. Let q(s) = 1368*s**2 - 3721. Let j(g) = -2*q(g) - 7*w(g). What is the first derivative of j(f) wrt f?
912*f
Let i(a) be the first derivative of 677*a**6/6 - 10*a**3 + 11*a**2/2 + 517. What is the third derivative of i(q) wrt q?
40620*q**2
Let x be (6/(-4))/(-3*(-12)/(-48)). What is the second derivative of 2 + 0*a**2 - 94*a**2 + 243*a + 4*a**x - 15*a**2 wrt a?
-210
Find the second derivative of -278*a**2 - 9*a**4 - 312*a + 5*a**4 - 66*a + 2*a**4 wrt a.
-24*a**2 - 556
Find the third derivative of -4539*m**6 - 271495*m**5 + 2300*m**2 + 271495*m**5 + 2*m - 3524*m**6 wrt m.
-967560*m**3
Let g(y) be the third derivative of 413*y**6/40 - 1267*y**4/24 - 51*y**2 - 8*y. Find the second derivative of g(a) wrt a.
7434*a
Let t = 39 + -4. Let o = t - 31. What is the derivative of 3714*a - 3714*a + 33 - 8*a**o wrt a?
-32*a**3
Let z(p) = -2*p**3. Let m be (-4 - -4 - -3)/(-1)*-1. Let r(s) = 5*s**3 + 4*s + 73. Let b(i) = m*z(i) + r(i). Differentiate b(y) with respect to y.
-3*y**2 + 4
Let l(s) be the second derivative of -583*s**4/6 - 328*s**3/3 + 5*s**2/2 + 1332*s + 1. What is the second derivative of l(o) wrt o?
-2332
Let i(h) = -2236*h**2 - 2*h - 2289. Let z(u) = 13443*u**2 + 13*u + 13735. Let g(l) = -19*i(l) - 3*z(l). What is the second derivative of g(d) wrt d?
4310
Let w be -4 + 17 + (-4 - -1). Differentiate 9*v + 102 + 50 + w wrt v.
9
Suppose -4*x + 102 = 5*t, 4*t + 36 = 5*x - 112. Suppose 0 = -i + x - 22. Find the third derivative of -27*p**2 + 516*p**i - 485*p**6 - 7*p**2 wrt p.
3720*p**3
Let b(z) be the second derivative of -56*z**6/15 - z**5/5 + z**4/2 - 28*z**2 - 34*z - 31. What is the third derivative of b(r) wrt r?
-2688*r - 24
Let d(c) be the first derivative of 11*c**6/30 - 13*c**2/2 + 53*c + 21. Let q(w) be the first derivative of d(w). Differentiate q(y) wrt y.
44*y**3
Find the third derivative of 293*p**2 - 86*p**3 + 2*p**4 + 3938141*p - 923*p**3 - 3938151*p wrt p.
48*p - 6054
Find the second derivative of -1 + 78*u + 3 + 2089*u**2 + 1368*u**2 - 1240*u**2 wrt u.
4434
Let r be ((-18)/(-4))/(3/2). Suppose 0*b + 4*y - 8 = r*b, -5*y + 13 = -3*b. What is the second derivative of -7*i - 7*i**4 - i**b - 5*i wrt i?
-96*i**2
Let u(a) be the first derivative of 2549*a**4/2 + 3*a**3 + 62*a - 3699. Find the third derivative of u(z) wrt z.
30588
Let u(z) be the first derivative of z**3/3 - 5*z**2/2 + 9*z + 19. Let i be u(4). Differentiate i + 3 + 6 + 5 - 44*c**2 wrt c.
-88*c
Let x(k) be the second derivative of -25*k - 2 + 1/30*k**6 - 95/2*k**2 + 0*k**4 + 0*k**5 - 91/6*k**3. Find the first derivative of x(h) wrt h.
4*h**3 - 91
Let k(j) = 2*j + 24. Let r be k(-12). Suppose 0 = -s - 5*t - 17, -3*s + t + 7 + 6 = r. Find the second derivative of o + 5*o**2 + s*o**2 + 0*o - 2*o wrt o.
16
Let n(d) be the second derivative of 1373*d**3/3 + 54*d**2 - 118*d + 30. Differentiate n(z) with respect to z.
2746
Let j be 12 + -18 + 8*1. What is the derivative of -1350 + 631 - 149*r**j + 623 wrt r?
-298*r
What is the second derivative of 127 + 410*n**2 - 45 - 318*n**2 - 777*n**2 + 42*n - 402*n**2 wrt n?
-2174
Let d(r) = 101*r + 77. Let x(o) = -1. Let s(k) = 304*k + 225. Let i(a) = -s(a) + 5*x(a). Let q(y) = -8*d(y) - 3*i(y). Differentiate q(m) with respect to m.
104
Suppose -3*f - 2*f + 2*o = -507, f + o - 107 = 0. Let t = -70 + f. Find the third derivative of -4*k**2 - t*k**3 + 42*k**3 + 22*k**2 wrt k.
54
Let z(t) be the third derivative of 59/24*t**4 + 20*t**2 + 0 + 0*t - 17/30*t**5 + 1/3*t**3. Find the second derivative of z(k) wrt k.
-68
Let h(f) be the third derivative of 0*f**3 + 0*f + 0 + 0*f**4 + 236*f**2 + 0*f**6 - 29/105*f**7 + 101/60*f**5. What is the third derivative of h(t) wrt t?
-1392*t
Suppose -12 = 4*r - 7*r. Suppose 0 = -k - 2*c + 6, -5*k - r*c - 6 = -24. What is the first derivative of 0 + k - 7*g - 3*g - 12 wrt g?
-10
Let a(o) be the second derivative of -2003*o**4/4 - 5*o**3/6 + 139*o**2/2 - 18*o - 2. Find the second derivative of a(q) wrt q.
-12018
Let y be ((-90)/((-3)/1))/1. What is the second derivative of -6*g + 76*g**2 + 24*g + y*g wrt g?
152
Let v(t) be the third derivative of -1/6*t**4 - 6*t**2 - 1/3*t**5 + 0 + 91/6*t**3 + 2*t. What is the first derivative of v(x) wrt x?
-40*x - 4
Find the second derivative of 4*u**2 - 2992*u + 0*u**2 + 9*u**3 + 347 - 349 - 6*u**5 + 8*u**3 + 424*u wrt u.
-120*u**3 + 102*u + 8
Suppose -2*x - 5*u = 55, -2*x + 3*u = -5*x - 60. Let q be (-1)/(1/(-3)) + (-15 - x). What is the third derivative of 3*m**6 - 2*m**2 + q*m**2 + 5*m**2 wrt m?
360*m**3
Let m(h) = 12*h**2 + 13*h + 3711. Let w(q) = -13*q**2 - 2*q - 3710. Let o(p) = -3*m(p) - 2*w(p). Differentiate o(a) with respect to a.
-20*a - 35
Suppose -164 = 422*c - 463*c. Let w(h) be the third derivative of 0*h + 0 - 9/8*h**c + 23/6*h**3 + 26*h**2. Differentiate w(m) wrt m.
-27
Let j(x) = 2*x - 6. Let w be j(7). Suppose -115 + w = -3*l - 4*t, -l = 3*t - 34. Find the third derivative of 29*u**6 - 2*u**2 - l*u**6 - 10*u**2 wrt u.
-960*u**3
Let v(u) = -u**3 + 2*u. Let r(z) | {
"pile_set_name": "DM Mathematics"
} |
5837
Is 55 != 220?
True
Which is smaller: 7397 or 7398?
7397
Is -394 at most as big as -0.13?
True
Is 0.4 less than -1/6?
False
Are -43 and -214/5 unequal?
True
Which is smaller: -8 or 59?
-8
Which is bigger: 205 or 8?
205
Which is bigger: -6564 or -6565?
-6564
Which is smaller: 23 or 27?
23
Which is bigger: 0 or -122/343?
0
Which is smaller: 0 or 1/62?
0
Is -2/23 at most as big as -85?
False
Is 809/6 less than or equal to 135?
True
Which is greater: 0 or -1/10386?
0
Is -1 at least -86?
True
Is 256 < 256?
False
Which is greater: 971 or 972?
972
Which is bigger: 91 or 86?
91
Which is bigger: -497 or -496?
-496
Is 11255 less than 11255?
False
Is -1/2 less than -2398?
False
Which is bigger: -0.1 or 2081?
2081
Is -3384 at least as big as -3386?
True
Which is smaller: 14 or 1/30?
1/30
Is 18 at least as big as -7?
True
Is -17 less than -17?
False
Which is bigger: -80 or 0.118?
0.118
Is -1 at most as big as -430/11?
False
Is 1/4 < -6/17?
False
Which is smaller: 1/20438 or -1?
-1
Is 0 < 92/149?
True
Which is bigger: -2976 or -2977?
-2976
Which is greater: -21/8 or -0.12?
-0.12
Which is greater: -382/9 or -43?
-382/9
Which is smaller: 2 or 0.0696?
0.0696
Which is greater: 398 or 405?
405
Which is bigger: -1 or 3/64?
3/64
Are -3 and -1 non-equal?
True
Is -4/41 at least as big as 1?
False
Is -26 greater than -2/9?
False
Are 1 and -4/2175 unequal?
True
Which is smaller: 149 or 150?
149
Which is greater: 2 or 111/38?
111/38
Which is bigger: 2 or 459?
459
Is -3952 bigger than -19754/5?
False
Which is greater: -25 or -34?
-25
Which is smaller: 0 or 1/27402?
0
Which is smaller: -4/7 or 8/7?
-4/7
Which is bigger: -10576 or 3?
3
Is -0.5 at least as big as 169/3?
False
Is -16 > -480/29?
True
Which is greater: -22199 or -22200?
-22199
Is 285 bigger than 283?
True
Which is smaller: 0 or 22784?
0
Is -35/16 at least as big as -3?
True
Which is bigger: -15 or -27/2?
-27/2
Is -172 bigger than -70?
False
Is -86/7 < -11?
True
Is 1309 > 5231/4?
True
Are 1 and -937 equal?
False
Which is bigger: -15 or -0.1?
-0.1
Which is greater: -4023 or 0?
0
Is 1229 greater than or equal to 1228?
True
Does -457 = -456?
False
Is 116 > 113?
True
Is -0.4041 at most -6?
False
Which is smaller: 78 or 74?
74
Are 4/5 and -3346 unequal?
True
Do -5/6 and -2/281 have the same value?
False
Which is bigger: 211 or 213?
213
Which is bigger: -1 or 2/9009?
2/9009
Are -2/1869 and -1 unequal?
True
Which is smaller: -69 or -54?
-69
Which is smaller: 241/8 or 29?
29
Which is smaller: 889 or 884?
884
Which is smaller: 11/1410 or 1?
11/1410
Is -215 less than -2?
True
Is 1 < 2/1465?
False
Which is greater: -3/2246 or 0?
0
Which is smaller: 1 or 1/60?
1/60
Which is greater: -113 or -112?
-112
Is 686/9 not equal to 75?
True
Is -3002 at most -3000?
True
Which is greater: -1 or 2657?
2657
Which is greater: -4 or 3.901?
3.901
Is -67 greater than or equal to -2/3?
False
Are 0.1 and -28.2 unequal?
True
Which is greater: 2/8543 or 1?
1
Which is greater: -101/5 or -21?
-101/5
Which is greater: -5200 or 0.01?
0.01
Is -37 smaller than -36?
True
Is 1 less than 118/127?
False
Are 1 and -5/2912 equal?
False
Is 0.15 > 42?
False
Is 0 bigger than 3/1544?
False
Are 84 and 83 non-equal?
True
Which is greater: 6/4379 or 1?
1
Is -598 greater than or equal to -598?
True
Do 272 and 1362/5 have the same value?
False
Which is bigger: 0 or 1/1666?
1/1666
Which is greater: 2896 or 2892?
2896
Are 0.02 and -30 nonequal?
True
Which is bigger: 186 or 1123/6?
1123/6
Which is smaller: 2/5 or 0.07?
0.07
Is -5 > 0.125?
False
Which is smaller: -1/1116 or 1?
-1/1116
Which is bigger: -931 or -930?
-930
Is -33 bigger than -225/7?
False
Which is smaller: 0.105 or 5/46?
0.105
Is -2.2 greater than or equal to -0.139?
False
Do -4000 and -4004 have the same value?
False
Which is bigger: -5593 or -5594?
-5593
Is 211/3 <= 1?
False
Which is bigger: 0.1 or 2916/7?
2916/7
Which is bigger: 75 or 0.5?
75
Which is bigger: -1 or 5?
5
Is -1 at least as big as -5/16752?
False
Are 236 and 221 nonequal?
True
Which is bigger: -7 or -60?
-7
Which is bigger: -15 or -8?
-8
Which is greater: -39 or -42?
-39
Which is bigger: -3/13 or -0.12?
-0.12
Which is greater: -11 or -251/21?
-11
Is 1 smaller than 170?
True
Is 2/567 > 1/5?
False
Which is smaller: -7928 or 0.4?
-7928
Does -2 = -158?
False
Is 318 at least as big as 318?
True
Which is bigger: 9 or -35?
9
Do -11177 and -11177 have the same value?
True
Which is smaller: -25 or 5/3?
-25
Is 1 bigger than -2/235?
True
Does 985 = -3?
False
Is 277 at least as big as 277?
True
Are 2 and -591 equal?
False
Which is greater: -34 or 20?
20
Which is smaller: 101 or 104?
101
Is -167 equal to -167?
True
Is 0 greater than 2/3437?
False
Which is smaller: 2 or 33/13?
2
Is 119 less than or equal to 3/5?
False
Is -196 != -196?
False
Which is greater: 141 or -2/7?
141
Is -0.2 > 174?
False
Which is bigger: -22/43 or 0?
0
Do 5893 and 5892 have the same value?
False
Which is bigger: 421 or 423?
423
Which is greater: 8 or 493/52?
493/52
Is 169 at least 169?
True
Does 24 = 379?
False
Is 2/5 >= 1/90?
True
Is -0.22924 at most as big as -1?
False
Is 2274/19 greater than or equal to 121?
False
Is 19 at least -3?
True
Which is bigger: 4053 or 4052?
4053
Which is smaller: -3/737 or 7?
-3/737
Is 11963 > 1/4?
True
Do 1 and -1/832 have different values?
True
Is -153.5 less than or equal to -0.1?
True
Are 0 and -1/135 nonequal?
True
Is 111 not equal to 107?
True
Is 55/3 >= 18?
True
Which is bigger: 76/169 or -1?
76/169
Is -343 smaller than -353?
False
Which is greater: 905/12 or 75?
905/12
Which is bigger: -235 or -237?
-235
Is 42794 at least as big as -0.1?
True
Which is smaller: -49 or -1148/23?
-1148/23
Which is bigger: 1 or 64.03?
64.03
Which is smaller: 319 or 317?
317
Is 2/78303 <= 0?
False
Which is smaller: -39 or -188/5?
-39
Is 20/1551 greater than -1?
True
Is -159/4 <= -41?
False
Which is smaller: 1/4 or 1/109?
1/109
Which is bigger: 56 or 58?
58
Is -1/9 <= -122?
False
Is 5/91 >= 2/7?
False
Is -5436/11 < -494?
True
Which is smaller: -3 or 2/11?
-3
Is 7/16 at least 1?
False
Which is smaller: 68 or 63?
63
Do -9 and -7 have the same value?
False
Which is greater: 24 or 9?
24
Is -8/63 <= -1?
False
Are 30 and 2/15 equal?
False
Is -742 > -738?
False
Which is smaller: 74 or 72?
72
Which is smaller: -0.5 or 41?
-0.5
Which is greater: -1/5 or -34?
-1/5
Which is greater: 29 or -13?
29
Which is smaller: 2/65 or 0?
0
Is 6/869 greater than 0?
True
Which is smaller: 888 or 893?
888
Which is greater: -1/212 or 20?
20
Are 206 and 207 equal?
False
Which is bigger: 355 or 356?
356
Which is smaller: -178 or -173?
-178
Is 2/3 at least as big as -4955?
True
Which is greater: -1056 or -1057?
-1056
Which is smaller: 2.5353 or 2/5?
2/5
Which is bigger: -0.1 or -554?
-0.1
Is -2/1777 >= -1?
True
Which is greater: -176 or -178?
-176
Which is smaller: 340 or 341?
340
Which is greater: -1 or 9/133?
9/133
Which is bigger: -7 or -88/15?
-88/15
Is 2292/29 != 78?
True
Is -2/1849 bigger than 1?
False
Is 83/6 < 15?
True
Which is smaller: -1 or -21/10?
-21/10
Which is bigger: 0 or 6/563?
6/563
Which is greater: -1/3 or 4991?
4991
Is -20/571 at least 0?
False
Is -8/1711 >= 0?
False
Which is smaller: 10159 or -1/2?
-1/2
Is 248 > 1243/5?
False
Is -647 less than 2/25?
True
Which is smaller: -210 or -18?
-210
Which is bigger: 19 or -295?
19
Which is bigger: -2/3117 or 0?
0
Which is smaller: -0.01 or 1/4?
-0.01
Which is smaller: -71 or -44?
-71
Which is smaller: 31/9 or 3?
3
Which is smaller: -15 or -1/18?
-15
Is -7/68 at least 0?
False
Which is smaller: 101 or 1120/11?
101
Are -1 and -5/16 unequal?
True
Which is smaller: 0 or 1/608?
0
Which is greater: -0.0177 or 0?
0
Which is smaller: -32 or -29?
-32
Which is smaller: 25/32 or 0?
0
Which is smaller: -0.1 or 1/7963?
-0.1
Which is smaller: 825 or 829?
825
Which is greater: -28 or -82/3?
-82/3
Does 0 = 465?
False
Is 718/55 equal to 12?
False
Which is greater: 14 or 16?
16
Are -1 and 4/435 non-equal?
True
Is -20/143 < 1?
True
Is 10333 at least as big as -1?
True
Which is smaller: 110/9 or -2/95?
-2/95
Which is smaller: -2 or -12.301?
-12.301
Are 3216 and 3217 equal?
False
Which is smaller: -2804 or -9?
-2804
Is -3.6 != -1/7?
True
Is 141 < 0.5?
False
Is -464 at least -0.01?
False
Which is bigger: 304 or 908/3?
304
Is -9/16 at most -2? | {
"pile_set_name": "DM Mathematics"
} |
1 PM?
8:20 AM
How many minutes are there between 8:26 PM and 2:26 AM?
360
How many minutes are there between 11:21 AM and 5:49 PM?
388
What is 693 minutes before 2:53 PM?
3:20 AM
How many minutes are there between 9:05 PM and 2:46 AM?
341
What is 6 minutes before 7:25 AM?
7:19 AM
How many minutes are there between 2:00 AM and 2:27 AM?
27
What is 703 minutes after 11:04 PM?
10:47 AM
What is 662 minutes after 8:25 AM?
7:27 PM
How many minutes are there between 9:25 PM and 8:26 AM?
661
What is 689 minutes after 4:10 AM?
3:39 PM
How many minutes are there between 10:06 PM and 11:23 PM?
77
What is 320 minutes before 12:38 PM?
7:18 AM
What is 209 minutes before 4:48 AM?
1:19 AM
What is 669 minutes after 1:00 AM?
12:09 PM
How many minutes are there between 1:48 AM and 2:24 AM?
36
What is 456 minutes after 3:54 PM?
11:30 PM
How many minutes are there between 1:41 AM and 3:38 AM?
117
What is 703 minutes after 9:25 AM?
9:08 PM
How many minutes are there between 11:13 AM and 12:57 PM?
104
What is 325 minutes before 7:24 AM?
1:59 AM
How many minutes are there between 3:40 AM and 9:56 AM?
376
How many minutes are there between 6:49 PM and 11:04 PM?
255
How many minutes are there between 2:10 AM and 12:07 PM?
597
How many minutes are there between 7:49 PM and 5:25 AM?
576
What is 655 minutes after 3:15 AM?
2:10 PM
How many minutes are there between 4:20 PM and 7:21 PM?
181
How many minutes are there between 1:22 PM and 1:05 AM?
703
What is 528 minutes after 10:00 AM?
6:48 PM
How many minutes are there between 12:00 PM and 1:11 PM?
71
How many minutes are there between 9:54 AM and 2:59 PM?
305
What is 149 minutes before 7:03 AM?
4:34 AM
What is 160 minutes before 4:35 PM?
1:55 PM
How many minutes are there between 6:35 PM and 4:44 AM?
609
How many minutes are there between 5:02 PM and 12:25 AM?
443
How many minutes are there between 4:43 AM and 9:07 AM?
264
What is 398 minutes after 3:22 AM?
10:00 AM
How many minutes are there between 7:29 AM and 8:25 AM?
56
What is 446 minutes before 6:36 PM?
11:10 AM
How many minutes are there between 5:45 AM and 1:35 PM?
470
How many minutes are there between 11:57 PM and 12:48 AM?
51
What is 517 minutes after 7:45 AM?
4:22 PM
What is 360 minutes before 7:52 PM?
1:52 PM
How many minutes are there between 10:23 AM and 2:26 PM?
243
What is 493 minutes after 1:08 PM?
9:21 PM
What is 293 minutes before 2:32 AM?
9:39 PM
How many minutes are there between 4:07 PM and 3:24 AM?
677
What is 556 minutes before 6:40 AM?
9:24 PM
How many minutes are there between 9:48 PM and 2:53 AM?
305
What is 418 minutes before 5:15 PM?
10:17 AM
How many minutes are there between 8:22 PM and 4:38 AM?
496
How many minutes are there between 6:56 PM and 10:56 PM?
240
How many minutes are there between 8:52 AM and 6:43 PM?
591
How many minutes are there between 10:44 AM and 1:22 PM?
158
What is 688 minutes before 7:27 PM?
7:59 AM
How many minutes are there between 2:19 AM and 4:16 AM?
117
What is 664 minutes after 12:05 AM?
11:09 AM
How many minutes are there between 7:50 AM and 10:14 AM?
144
What is 443 minutes after 5:47 AM?
1:10 PM
How many minutes are there between 6:03 AM and 5:05 PM?
662
How many minutes are there between 11:45 PM and 11:47 PM?
2
How many minutes are there between 3:46 AM and 5:02 AM?
76
How many minutes are there between 8:32 PM and 1:25 AM?
293
What is 279 minutes after 9:15 AM?
1:54 PM
What is 643 minutes before 2:15 PM?
3:32 AM
How many minutes are there between 11:37 PM and 10:57 AM?
680
What is 639 minutes after 2:00 AM?
12:39 PM
What is 148 minutes before 11:02 AM?
8:34 AM
How many minutes are there between 5:10 AM and 6:40 AM?
90
How many minutes are there between 9:10 AM and 3:48 PM?
398
What is 42 minutes after 12:54 PM?
1:36 PM
How many minutes are there between 8:02 PM and 4:18 AM?
496
What is 610 minutes after 5:36 AM?
3:46 PM
How many minutes are there between 10:15 PM and 9:47 AM?
692
What is 697 minutes after 11:23 AM?
11:00 PM
What is 325 minutes after 9:07 PM?
2:32 AM
How many minutes are there between 5:34 PM and 7:58 PM?
144
What is 11 minutes after 5:44 PM?
5:55 PM
What is 400 minutes before 6:47 AM?
12:07 AM
What is 676 minutes before 11:16 PM?
12:00 PM
What is 605 minutes after 11:08 AM?
9:13 PM
What is 251 minutes after 10:17 PM?
2:28 AM
How many minutes are there between 11:50 AM and 12:57 PM?
67
How many minutes are there between 5:14 PM and 10:27 PM?
313
How many minutes are there between 3:20 AM and 6:05 AM?
165
How many minutes are there between 3:58 PM and 1:31 AM?
573
What is 564 minutes after 3:07 AM?
12:31 PM
What is 19 minutes before 2:25 PM?
2:06 PM
What is 91 minutes after 10:38 PM?
12:09 AM
How many minutes are there between 4:06 PM and 12:19 AM?
493
How many minutes are there between 11:11 PM and 3:54 AM?
283
How many minutes are there between 4:10 PM and 2:38 AM?
628
How many minutes are there between 11:39 PM and 3:54 AM?
255
What is 664 minutes before 10:36 AM?
11:32 PM
How many minutes are there between 3:03 PM and 5:06 PM?
123
What is 588 minutes after 12:59 AM?
10:47 AM
How many minutes are there between 2:09 AM and 9:52 AM?
463
How many minutes are there between 1:07 PM and 1:55 PM?
48
How many minutes are there between 9:41 PM and 7:36 AM?
595
What is 235 minutes after 4:09 PM?
8:04 PM
What is 38 minutes after 8:00 PM?
8:38 PM
How many minutes are there between 1:08 PM and 6:06 PM?
298
What is 610 minutes after 3:46 PM?
1:56 AM
What is 366 minutes before 4:41 PM?
10:35 AM
What is 142 minutes after 1:15 AM?
3:37 AM
How many minutes are there between 3:18 AM and 11:29 AM?
491
What is 535 minutes before 2:26 AM?
5:31 PM
How many minutes are there between 3:47 PM and 9:07 PM?
320
How many minutes are there between 5:57 AM and 5:41 PM?
704
What is 354 minutes before 9:13 PM?
3:19 PM
How many minutes are there between 4:51 PM and 2:42 AM?
591
How many minutes are there between 7:57 PM and 1:52 AM?
355
How many minutes are there between 4:03 AM and 12:31 PM?
508
What is 676 minutes before 3:27 AM?
4:11 PM
How many minutes are there between 8:31 PM and 11:55 PM?
204
How many minutes are there between 6:48 PM and 12:01 AM?
313
How many minutes are there between 8:40 AM and 5:03 PM?
503
What is 344 minutes before 11:23 AM?
5:39 AM
How many minutes are there between 2:31 PM and 12:54 AM?
623
How many minutes are there between 8:54 PM and 12:11 AM?
197
How many minutes are there between 10:08 AM and 9:23 PM?
675
What is 277 minutes after 3:46 PM?
8:23 PM
What is 681 minutes before 10:05 AM?
10:44 PM
What is 6 minutes before 6:34 PM?
6:28 PM
What is 207 minutes before 2:43 PM?
11:16 AM
How many minutes are there between 1:00 AM and 4:37 AM?
217
What is 485 minutes before 8:44 PM?
12:39 PM
How many minutes are there between 1:07 PM and 12:08 AM?
661
How many minutes are there between 11:33 AM and 12:33 PM?
60
What is 145 minutes before 5:12 AM?
2:47 AM
What is 677 minutes after 12:45 PM?
12:02 AM
How many minutes are there between 12:51 PM and 10:09 PM?
558
What is 657 minutes after 7:23 PM?
6:20 AM
How many minutes are there between 4:24 AM and 10:49 AM?
385
What is 128 minutes before 11:21 PM?
9:13 PM
What is 35 minutes before 8:05 AM?
7:30 AM
How many minutes are there between 8:35 PM and 1:56 AM?
321
What is 490 minutes after 12:37 AM?
8:47 AM
What is 76 minutes before 12:00 PM?
10:44 AM
What is 148 minutes before 6:34 PM?
4:06 PM
What is 56 minutes after 7:39 PM?
8:35 PM
How many minutes are there between 12:22 PM and 2:50 PM?
148
How many minutes are there between 3:43 PM and 4:31 PM?
48
What is 374 minutes before 2:48 PM?
8:34 AM
How many minutes are there between 2:06 AM and 9:53 AM?
467
What is 371 minutes after 2:35 AM?
8:46 AM
What is 552 minutes after 9:25 PM?
6:37 AM
What is 691 minutes after 9:55 AM?
9:26 PM
What is 549 minutes after 8:30 AM?
5:39 PM
What is 466 minutes after 1:48 PM?
9:34 PM
How many minutes are there between 12:27 AM and 7:35 AM?
428
How many minutes are there between 2:29 PM and 5:20 PM?
171
How many minutes are there between 2:45 AM and 8:40 AM?
355
What is 300 minutes before 1:30 PM?
8:30 AM
How many minutes are there between 3:29 PM and 1:56 AM?
627
What is 110 minutes before 11:04 AM?
9:14 AM
What is 404 minutes before 9:07 PM?
2:23 PM
How many minutes ar | {
"pile_set_name": "DM Mathematics"
} |
ivative of j**5/12 + 5*j**4/6 + 10*j**3/3 - 6*j**2. Factor v(w).
5*(w + 2)**2
Factor 2*z**2 + 4*z**3 + 1 + 2*z**2 - z - 5 - 3*z.
4*(z - 1)*(z + 1)**2
Determine g, given that 0*g**3 + 1/2*g**4 - 1/2*g**2 + 0*g + 0 = 0.
-1, 0, 1
Let j be 3/(-9) - 30/(-9). Suppose -5*y = -3*g + g + 4, -j*y = 3*g - 6. Determine d so that 0*d + 0*d**2 - 1/3*d**3 + y = 0.
0
Suppose 0*w - 1 = 2*w - u, 5*w + 2*u - 11 = 0. Let y = 4 - w. Find a such that -2*a**5 + 2*a**y - 4*a**3 + 4*a**3 = 0.
-1, 0, 1
Let k(t) = 3*t**3 - t**2 + 1. Let q = 3 + -2. Let l be k(q). Factor -8/9*x**l + 0*x**2 + 0 + 0*x - 70/9*x**5 + 16/3*x**4.
-2*x**3*(5*x - 2)*(7*x - 2)/9
Suppose -79*x + 2*z = -78*x - 2, 3*x = -z + 20. Find l, given that 22/3*l**4 + 4/3*l**3 + x*l**5 + 0*l + 0 + 0*l**2 = 0.
-1, -2/9, 0
Let i(f) = -7*f**4 + 53*f**2 - 22*f - 8. Let s(c) = 2*c**4 - 18*c**2 + 7*c + 3. Let z(w) = 3*i(w) + 8*s(w). Factor z(j).
-5*j*(j - 1)**2*(j + 2)
Let u(y) be the third derivative of -y**5/540 + 11*y**4/108 - 121*y**3/54 - 24*y**2. Factor u(j).
-(j - 11)**2/9
Let x(y) be the first derivative of y**5/20 - y**4/2 + 2*y**3 + 3*y**2/2 - 7. Let h(z) be the second derivative of x(z). Factor h(a).
3*(a - 2)**2
Let z = -25 - -25. Factor 4/11*o - 4/11*o**3 + z*o**2 - 2/11 + 2/11*o**4.
2*(o - 1)**3*(o + 1)/11
Let f(n) = -n**3 - 8*n**2 - 3. Let w be f(-8). Let a = 5 + w. Factor -3*q**3 + a*q**3 + q**2 + 0*q**5 + q**5 - q**4.
q**2*(q - 1)**2*(q + 1)
Let b(j) = j**3 - 5*j**2 - 5*j - 2. Let n be b(5). Let i be 0 + (-2)/(30/n). Factor i + 6/5*s + 1/5*s**2.
(s + 3)**2/5
Let k(a) be the first derivative of -3/5*a**5 + 0*a - 6 + 5/6*a**6 + 0*a**2 - 1/2*a**4 + 0*a**3. Factor k(l).
l**3*(l - 1)*(5*l + 2)
Let l(f) be the third derivative of f**6/280 - f**5/210 - f**4/168 - 2*f**2. Suppose l(y) = 0. What is y?
-1/3, 0, 1
Suppose -3*r**2 + 0*r**2 + 4*r + 0 - r**2 + 8 = 0. Calculate r.
-1, 2
Factor 4*t**3 + 0 + 16/11*t - 56/11*t**2 - 10/11*t**4.
-2*t*(t - 2)**2*(5*t - 2)/11
Suppose 5*a + 279 + 891 = 0. Let t be (-4)/(-18) - 767/a. Determine r so that -7/4*r - 7/4*r**5 + t*r**3 - r**2 + 1/2 + 1/2*r**4 = 0.
-1, 2/7, 1
Factor -o - 4*o**2 - o + 0*o - 2*o**3.
-2*o*(o + 1)**2
Factor 0*g**2 + 3*g**2 - 857*g + 902*g.
3*g*(g + 15)
Find b such that 5/8*b**2 - 1/8*b**3 - 1/2*b + 0 = 0.
0, 1, 4
Let j be (-2)/(-11) - (-1840)/44. Let h = j - 25. Factor -16*w + 4*w**2 + 2*w**4 + 1 + 3 - 11*w**3 + h*w**2.
(w - 2)**2*(w - 1)*(2*w - 1)
Suppose 0*j + 9 = 3*j. Let r = 1 + 1. Suppose -j*i**2 - 1 + i**4 + 2 + i**r = 0. What is i?
-1, 1
Let c = -7 + 9. Factor -b**2 - 3*b + b**2 - 5*b**c + 2*b**2.
-3*b*(b + 1)
Suppose 65*j**2 - 75*j**2 + 5*j**5 - 5*j - j**4 + 11*j**4 = 0. What is j?
-1, 0, 1
Let p be 1/(-165)*9195/(-10). Let l = -43/10 + p. Solve -l*w**2 + 18/11*w - 4/11 = 0 for w.
2/7, 1
Suppose -2*o - 8 = -6*o. Let p be o/8 + 21/12. Let 0*n**2 + n**4 + 0*n**4 + 3*n**3 + 4*n**p - 2*n**2 = 0. What is n?
-2, -1, 0
What is k in -4/3 - 2/3*k**2 + 2*k = 0?
1, 2
Let y = 974/2497 + -6/227. Let b = 3/22 + y. Find n such that 1/4*n**3 + 0*n**2 + 1/4*n**5 + 0 - b*n**4 + 0*n = 0.
0, 1
Let d(k) be the first derivative of 1/7*k**3 - 1/70*k**5 + 2 + 0*k**4 - 2*k + 2/7*k**2. Let g(y) be the first derivative of d(y). Factor g(t).
-2*(t - 2)*(t + 1)**2/7
Let a(i) = -10*i**5 - 10*i**4 + 4*i**3 - 20*i**2 + 12*i. Let j be 4/(-2) - 56/(-4). Let o(d) = d**5 + d**3 + d**2 - d. Let y(f) = j*o(f) + a(f). Factor y(s).
2*s**2*(s - 2)**2*(s - 1)
Let r(f) be the first derivative of -f**6/360 - f**5/60 - f**4/24 + f**3 + 3. Let t(v) be the third derivative of r(v). Determine c so that t(c) = 0.
-1
Let z = -3 + -2. Let t(r) = -2*r - 7. Let m be t(z). Suppose -2*j**2 + m - 1 + 0 = 0. What is j?
-1, 1
Let t(y) be the first derivative of y**4/42 - 2*y**3/7 + 9*y**2/7 - 3*y + 2. Let z(g) be the first derivative of t(g). Factor z(o).
2*(o - 3)**2/7
Let x(m) be the third derivative of 0 + 5/24*m**4 + 1/3*m**3 + 1/15*m**5 + 0*m + 1/120*m**6 - 6*m**2. Factor x(k).
(k + 1)**2*(k + 2)
Let b(x) be the first derivative of -1/2*x**4 + x + 1/12*x**6 - 1/3*x**3 + 0*x**5 + 3/4*x**2 + 5. Suppose b(q) = 0. What is q?
-1, 1, 2
Let o(s) be the first derivative of -s**5/10 + 5*s**4/8 - s**3/2 - 5*s**2/4 + 2*s + 12. Let o(w) = 0. Calculate w.
-1, 1, 4
Let -18/7 + 3/7*a**3 - 15/7*a + 6/7*a**2 = 0. What is a?
-3, -1, 2
Factor 4/5*n + 3/5 + 1/5*n**2.
(n + 1)*(n + 3)/5
Factor 20/19*f + 0 + 2/19*f**2.
2*f*(f + 10)/19
Let a(n) be the first derivative of 7*n**4/2 - 4*n**3/3 - 7*n**2 + 4*n - 44. Solve a(l) = 0 for l.
-1, 2/7, 1
Determine u, given that 14/5*u**5 - 4/5*u**2 + 4/5*u**4 - 14/5*u**3 + 0*u + 0 = 0.
-1, -2/7, 0, 1
Suppose -2/17*h**5 - 2/17*h**4 - 2/17 + 4/17*h**2 + 4/17*h**3 - 2/17*h = 0. Calculate h.
-1, 1
Let z(r) be the first derivative of r**3/24 - r**2/16 + 1. Solve z(k) = 0 for k.
0, 1
Let l(j) = j**2 - j. Let g(h) = -7*h**2 + 6*h. Let m(d) = g(d) + 6*l(d). Let z(w) = -3*w**2 + 3*w + 2. Let x(p) = 4*m(p) - z(p). Factor x(r).
-(r + 1)*(r + 2)
Let w(d) be the second derivative of 2*d + 1/24*d**3 - 1/80*d**5 - 1/48*d**4 + 1/120*d**6 + 0*d**2 + 0. Determine k so that w(k) = 0.
-1, 0, 1
Determine j so that 14*j**2 - 3*j**3 + 5*j**5 - 7*j**2 - 2*j + 7*j**4 - 5*j**2 - 9*j**2 = 0.
-1, -2/5, 0, 1
Let a = 18 - 12. Let d(y) be the second derivative of 1/4*y**4 + 0*y**2 + 1/3*y**3 + 0 - 7/20*y**5 + 5/42*y**7 - 1/10*y**a - y. Factor d(w).
w*(w - 1)**2*(w + 1)*(5*w + 2)
Suppose 2/3*u**4 - 2/3*u**2 - 2/3*u**3 + 2/3*u + 0 = 0. What is u?
-1, 0, 1
Factor 16*y + 3*y**2 - 16673 + 16689 + y**2.
4*(y + 2)**2
Let i = 68 + -63. Let n(o) be the third derivative of 0*o + 7/48*o**4 + 1/60*o**i + 2*o**2 - 7/240*o**6 + 0 - 1/6*o**3. Suppose n(k) = 0. Calculate k.
-1, 2/7, 1
Let g(m) be the third derivative of m**8/1512 - 4*m**7/945 + m**6/135 + m**5/135 - 5*m**4/108 + 2*m**3/27 + 6*m**2. Determine d so that g(d) = 0.
-1, 1, 2
Solve -35*l**3 - 4*l - 3*l**3 - 40*l**4 - 6*l**4 + 2*l + 50*l**2 - 4 + 40*l**5 = 0 for l.
-1, -1/4, 2/5, 1
Let g(a) be the second derivative of -a**5/20 - a**4/4 - a**3/3 - 11*a. Factor g(c).
-c*(c + 1)*(c + 2)
Let q(r) = -57*r**2 + 57*r + 33. Let c(t) = -7*t**2 + 7*t + 4. Let l(b) = -33*c(b) + 4*q(b). Factor l(n).
3*n*(n - 1)
Let k(f) be the third derivative of -f**8/2856 - f**7/1785 + f**6/510 - 15*f**2. Solve k(b) = 0 for b.
-2, 0, 1
Let c(j) be the third derivative of j**6/840 + j**5/210 - j**4/168 - j**3/21 + 3*j**2. Factor c(i).
(i - 1)*(i + 1)*(i + 2)/7
Let c(j) = -j + 13. Suppose -5*f = -10*f - 5*o + 70, -3*f + 32 = o. Let b be c(f). Determine u, given that 4*u - 2*u**3 - 2*u**3 + 0*u**4 + 2*u**4 + 2 - b = 0.
-1, 1
Let r(i) = -3*i + 1. Let j(m) = 16*m - 5. Let a(n) = 2*j(n) + 11*r(n). Let s be a(-1). Suppose 1/4*p**s - 1/4*p - 1/2 = 0. What is p?
-1, 2
Let c(r) = 6*r**3 - 6*r**2 - 6*r - 16. Let z(o) = -o**3 + o**2 + o + 3. Let y(f) = -6*c(f) - 33*z(f). Let y(n) = 0. Calculate n.
-1, 1
Let a(h) = 2*h**2 + 2*h - 1. Let b be a(-2). Suppose -r + 2 = -b. Let 2/9*y**3 - 2/9*y**r - 2/9*y**4 + 0*y + 2/9*y**2 + 0 = 0. Calculate y.
-1, 0, 1
Let x(v) be the first derivative of -5*v**7/63 - 7*v**6/45 - v**5/15 - 4*v - 5. Let j(c) be the first derivative of x(c). Factor j(d).
-2*d**3*(d + 1)*(5*d + 2)/3
Let h(v) be the third derivative of -v**7/2940 + v**5/420 + v**3/3 + 3*v**2. Let a(g) be the first derivative of h(g). Solve a(f) = 0.
-1, 0, 1
Let w(c) be the second derivative of 25*c**7/42 - 17*c**6/3 + 249*c**5/20 - 31*c**4/3 + 10*c**3/3 + 13*c. Factor w(v).
v*(v - 5)*(v - 1)*(5*v - 2)**2
Let a(b) = b**2 + 9*b + 6. Let v be a(-8). Let p be v/(-2*(2 - -1)). Factor -1/3*c**2 + 1/3*c**4 - 1/3*c**3 + 0 + p*c.
c*(c - 1)**2*(c + 1)/3
Let k be 2/3 + 28/12. Factor -r**3 - 10*r**5 + 2*r**k + 9*r**5.
-r**3*(r - 1)*(r + 1)
Let h(r) be the second derivative of -r**8/3080 + r**7/2310 + r**3/6 - 2*r. Let c(z) be the second derivative of h(z). Suppose c(f) = 0. What is f?
0, 2/3
Suppose 2*r = -3*r. Let n(x) be the third derivative of 1/120*x**6 + 1/24*x**4 + 0*x + r + 0*x**3 - 1/30*x**5 - x**2. Factor n(a).
a*(a - 1)**2
Let d be ((-130)/(-39))/(2/3)*1. Let j(w) be the second derivative of 0 + 3*w + 0*w**2 - 1/9*w**3 + 1/90*w**6 + 0*w**d - 1/12*w**4. Factor j(g).
g*(g - 2)*(g + 1)**2/3
Let y be 33/198*(17 + 1)*1. Let a(r) = r**2 - 5*r. Let g be a(5). Factor 0*s + 1/4*s**y + g - 1/2*s**2.
s**2*(s - 2)/4 | {
"pile_set_name": "DM Mathematics"
} |
d) -1 (e) 0.44 (f) 1311
b
What is the third smallest value in -42/13, 8, 1/3, 7, -1, 4, 0.1?
0.1
Which is the fifth smallest value? (a) -5 (b) 2 (c) 11/2 (d) -15 (e) -355 (f) 1/3
b
What is the second biggest value in 0.1, 2, 272, 1, 7, -142, -0.3?
7
Which is the third biggest value? (a) -3 (b) 811/2 (c) 2442.68
a
Which is the smallest value? (a) -1/2 (b) 12.3 (c) 80 (d) -1
d
What is the biggest value in 0.12, 0, 210791?
210791
What is the second smallest value in 5, 576457, -4?
5
What is the fourth smallest value in -5042, 12, -0.2, -0.1?
12
Which is the second smallest value? (a) -1460657 (b) 1/5 (c) 11 (d) -0.3
d
What is the biggest value in 45.7, 0.018414, -0.3?
45.7
What is the sixth smallest value in 20462, -2/15, 3/8, -5, 3, 5, -3?
5
What is the biggest value in 0, -503, -563?
0
Which is the fourth biggest value? (a) 0.5 (b) 0.1 (c) 49 (d) -1 (e) 20638 (f) -0.2 (g) 0
b
Which is the second biggest value? (a) -0.07 (b) -162742 (c) 0.19
a
What is the fifth biggest value in 5, 1.4, 3/10, 19.4, 0.2, 1?
3/10
Which is the third biggest value? (a) 194.49 (b) -17735 (c) 2/17
b
Which is the third smallest value? (a) 0.4 (b) -0.6 (c) -14 (d) -0.2 (e) -44
b
What is the smallest value in -6, 2, 22, -328, 0.5?
-328
What is the fifth smallest value in 13, 5, -2.6, 0, 1, -9/2?
5
What is the biggest value in 0.076, 1/7, 8/2759?
1/7
What is the fifth smallest value in 6, -0.2, 0.6, -96, -1/209?
6
What is the third biggest value in 2, -16297, 0.021?
-16297
What is the seventh smallest value in -2, -3, 0.2, 178, 0, 2/9, -15?
178
Which is the second biggest value? (a) 0.086 (b) 0.5 (c) 150 (d) 3 (e) 15
e
Which is the second biggest value? (a) -74 (b) -0.3 (c) -7/6 (d) -2/19 (e) -3 (f) -9
b
Which is the third biggest value? (a) -4 (b) -5 (c) -0.5 (d) 11/3 (e) 2/17
c
Which is the second smallest value? (a) 0.544 (b) 1/3 (c) 0.1 (d) 7773 (e) 0.5
b
Which is the fifth biggest value? (a) -2/5 (b) 57376 (c) 0.4 (d) 0.29 (e) -0.5
e
Which is the third biggest value? (a) 188 (b) 1 (c) 0.9 (d) -15 (e) 0 (f) 5
b
What is the fifth smallest value in -10954, -0.2, -1, -2, -3, 0.15?
-0.2
Which is the seventh smallest value? (a) 2/11 (b) -3 (c) 18 (d) -0.3 (e) 2/537 (f) 4 (g) 1.3
c
Which is the fifth biggest value? (a) -1/4 (b) 568 (c) -2 (d) -1781 (e) -16
d
What is the fifth biggest value in -1/3, 1, -48631, 2/3, -3, -0.1?
-3
What is the fourth smallest value in 6, -10.9, -2/27, 87/11?
87/11
Which is the third biggest value? (a) 71 (b) -41 (c) -1876
c
Which is the fourth biggest value? (a) -2/7 (b) 3/25 (c) 17/4 (d) -51 (e) -2 (f) -1/3
f
What is the biggest value in -13, 43, 378, 1/2?
378
What is the third smallest value in -2, -0.1, -223071, 2/119?
-0.1
Which is the biggest value? (a) 1145 (b) -138 (c) -19
a
What is the third smallest value in -0.6, -0.1, 6, 77875/4, -0.4?
-0.1
Which is the third biggest value? (a) 22.7 (b) -4/5 (c) -89510
c
What is the third smallest value in 0.3, -24, -180722?
0.3
What is the fifth biggest value in -72, 6, -1, -2/9, 5226?
-72
What is the second smallest value in -270/7, 3, 0, -7, 0.5, 4/17?
-7
Which is the smallest value? (a) -0.05 (b) 5 (c) 0.05 (d) 4 (e) -0.8 (f) 2/3
e
Which is the biggest value? (a) -6537 (b) -25/4 (c) 2.2
c
Which is the smallest value? (a) 0.4 (b) -12 (c) -1424 (d) 0.1091
c
What is the second smallest value in 34, 17, -4/3, -139, -7?
-7
Which is the second biggest value? (a) 2/7 (b) -1607551/4 (c) 1/21
c
Which is the second biggest value? (a) -17.7 (b) -5 (c) -0.23338
b
Which is the second smallest value? (a) 2/9 (b) -2/3 (c) -12/17 (d) 1529 (e) -14
c
Which is the second biggest value? (a) -4/9 (b) -7 (c) -2/9 (d) -371 (e) 0.3 (f) -0.2 (g) 10
e
What is the third smallest value in 5, -11/9, 0.11988?
5
What is the fourth smallest value in -3/7, 18843, -138.9, -1?
18843
What is the third smallest value in 0.5, 1, 0.31, -0.56, 9?
0.5
What is the biggest value in -1/981, 274, -298.6?
274
What is the third biggest value in 1/2, 0.6, -60, -5/3?
-5/3
Which is the third biggest value? (a) 113/78 (b) 4/11 (c) 0 (d) 4
b
What is the second smallest value in 1, 5, -0.1, -106, 0.6, -0.0502?
-0.1
Which is the second smallest value? (a) -2/207 (b) -114043 (c) -2/7 (d) -11
d
Which is the second smallest value? (a) 315 (b) 14 (c) 4 (d) 0.11 (e) 3 (f) -2 (g) -4
f
Which is the second smallest value? (a) -2 (b) 0.5 (c) -221.92 (d) 4 (e) 0.1
a
Which is the biggest value? (a) -3/23 (b) 227 (c) 205 (d) 2.5
b
Which is the third biggest value? (a) 1 (b) -12 (c) -0.3 (d) 54 (e) 4/3 (f) -0.1
a
What is the biggest value in 5/4, -10102189, 3?
3
What is the second biggest value in -3, -1.4, -6.9, -0.087?
-1.4
Which is the biggest value? (a) -4 (b) 0.2 (c) 26/7 (d) 292 (e) -459
d
What is the smallest value in 237, 11668, -0.4?
-0.4
Which is the fourth smallest value? (a) -2/7 (b) -0.89 (c) -49 (d) -21.27 (e) 3 (f) 4/5
a
Which is the smallest value? (a) -4 (b) -70/19 (c) 0.765
a
Which is the biggest value? (a) 4/3365 (b) 0.01 (c) 1/5
c
What is the fifth smallest value in 1/6, -0.3, 293, 5/4, -1/7, 2, -2?
5/4
What is the third biggest value in -115, -16/9, 2/9, 7, 926?
2/9
What is the biggest value in 0, 2/11, -1/7, 1, -4685?
1
What is the smallest value in 2.64, -89, 13.4?
-89
Which is the fifth smallest value? (a) -5/3 (b) -3354 (c) -0.5 (d) 3/7 (e) -0.1
d
Which is the fifth smallest value? (a) -1/2537 (b) 3/4 (c) -8 (d) 8 (e) 0 (f) 0.3
b
Which is the fourth biggest value? (a) 198 (b) 2.5 (c) -5/6 (d) 5 (e) -0.2 (f) 4/7
f
Which is the third smallest value? (a) 680892 (b) 4/3 (c) -0.3
a
Which is the second biggest value? (a) -0.53 (b) 2 (c) 1 (d) -534/7
c
What is the third biggest value in 27, 5, -1660, -0.4?
-0.4
Which is the fourth smallest value? (a) -8 (b) -0.06 (c) 41 (d) -11 (e) -4 (f) 5 (g) -0.3
g
Which is the second smallest value? (a) 3 (b) 0.010007 (c) -15 (d) -0.04 (e) -1/4
e
What is the fourth smallest value in -5/6, 96, -8169, -2?
96
What is the fourth smallest value in 3/2, 2/3, -0.04, 1/4, 389.3, -0.12?
2/3
What is the sixth biggest value in 41, -2/13, -0.5, 2, -1, -13?
-13
What is the biggest value in 43, -91, -1543/2?
43
Which is the third biggest value? (a) 7 (b) 5 (c) -2/823485 (d) -1/4
c
Which is the smallest value? (a) 0.23937 (b) 9/2 (c) -0.011
c
What is the third biggest value in -5/7, 3, 0.302, 1434.8?
0.302
Which is the sixth smallest value? (a) -3/8 (b) -1/8 (c) -2/7 (d) -0.27 (e) -17 (f) -4.3 (g) 76
b
What is the fifth smallest value in 23, 51, 1/4, 201, -3?
201
What is the smallest value in -0.4, 15752, 2/21, 3?
-0.4
What is the fifth biggest value in -13.4, -3, -0.4, -0.2, 1/11, 3/11, 197?
-0.4
What is the fourth smallest value in 1/4, -0.4, 2.1, 22198, -5?
2.1
What is the smallest value in -9.6, 0.2, -3/8, 1/12, 39, -2?
-9.6
Which is the third biggest value? (a) -1/3402 (b) 3 (c) -0.9 (d) -0.03 (e) -2/3
d
What is the sixth biggest value in 0.1, -8/131, 0.3, 0, -0.609, -0.4, -4/7?
-4/7
Which is the second smallest value? (a) 27 (b) -1 (c) -4.3 (d) 0 (e) 1/51
b
What is the fifth biggest value in 22, 26042, 5, 6, 2?
2
Which is the second smallest value? (a) -1/4 (b) 79 (c) 413 (d) 5 (e) -4 (f) -0.3
f
What is the smallest value in 0.2, -2/15, -0.3, 5.7, -5, 24.326?
-5
What is the second biggest value in 6/11, 0.1, 4.7, -1080, 8, -3?
4.7
Which is the smallest value? (a) -3 (b) 6 (c) 0 (d) -0.3 (e) 118769 (f) -1/3
a
Which is the sixth biggest value? (a) 0.1 (b) -2 (c) -0.0275 (d) 0.04 (e) 7/2 (f) 2 (g) 3/2
c
Which is the third biggest value? (a) -323 (b) -1/11 (c) 4 (d) 0.04 (e) -3/43 (f) -1 (g) 2/13
d
Which is the third smallest value? (a) -0.01 (b) 0.3 (c) -543.44 (d) 3/19
d
Which is the biggest value? (a) -0.3 (b) 500 (c) 7/2 (d) -10 (e) -1 (f) -1/4
b
What is the biggest value in -5, 15056, -0.05, 10/7?
15056
Which is the second biggest value? (a) 286.9 (b) 4/27 (c) 6/5
c
What is the third smallest value in -0.2, 161834, -3, -0.1, 2/7?
-0.1
What is the third smallest value in 0.01, 5, 0.0612, 4, 1/2, 3?
1/2
Which is the fourth biggest value? (a) -25 | {
"pile_set_name": "DM Mathematics"
} |
-198*c. What is the least common multiple of 48 and f?
96
Calculate the common denominator of 31/294 and (-32)/((-34560)/(-546)) - 3/10.
1764
Let o = 257380175/2738 + -94003. Find the common denominator of o and 43/592.
21904
Let p(o) = 610*o**2 + 19*o - 5. Let j be p(-6). Let v = -9876 + j. Let r = 287113/24 - v. Find the common denominator of 31/36 and r.
72
Let a = 5495 - 38505/7. Calculate the common denominator of a and -32/1135.
7945
Let i(g) = -g**2 - 4*g + 7. Let t be i(-5). What is the common denominator of (-9)/((-207)/115) + (-110)/36 and (235/34 - t) + -2?
306
Let w = -3450 + 117345/34. What is the common denominator of w and 41/294?
4998
Let c = -430390821/5861 - -73433. Let i = 697315/105498 - c. What is the common denominator of i and -101/838?
7542
Let v(r) = r**3 + 3*r**2 - 2*r - 3. Suppose h - 22 = -22. Suppose -5*u - 4*f = -h*u - 16, -7 = -2*u - f. Calculate the least common multiple of u and v(-2).
20
Suppose 101 + 4 = -5*y. Calculate the common denominator of (-68)/(-50)*1/2 and (3/y)/(1/(-32)).
175
What is the common denominator of (-14096)/25088 - (-1)/2 and 101/588?
4704
Let x(c) = -c**3 + c**2 + 15*c - 6. Let n be x(-3). Calculate the common denominator of -1/9 and n/9*130/25.
9
Let q(h) = 48*h - 283. Let d be q(6). What is the smallest common multiple of ((-96)/(-320))/((-3)/(-4))*d and 2?
2
Suppose 26*r + 1346 = 33638. Let a = r - 22373/18. Calculate the common denominator of a and -1/93.
558
Suppose -4*d + 175 = 3*r, 3*r - 155 = -4*d + 4*r. Let y = 562 + -560. What is the least common multiple of y and d?
40
Suppose -2*x - 5*m = -90, -4*m - 154 = -4*x - m. What is the smallest common multiple of 4/26 - 300/(-78) and x?
40
Suppose 0*a - 4*a + 4331 = -w, -w - 5414 = -5*a. What is the least common multiple of 5 and a?
5415
Find the common denominator of 41/741 and (8/78)/(197/(-310) + 16/(-248)).
5187
Let o(j) = -437*j - 52. Calculate the lowest common multiple of o(-2) and 3.
822
Suppose 9*z = 12*z + 69. Find the common denominator of 2/(-12) - -5*z/12 and (243/(-60))/((-10)/(-25)).
8
Let h = 1706899/378 - 4516. Calculate the common denominator of -23/1386 and h.
4158
Let q = 2058/11 + -261036/1397. Calculate the common denominator of q and 57/4.
508
Let l(k) = -k**3 - 23*k**2 - 4*k - 4. Let i be l(-23). Let q = i - 103. What is the common denominator of -91/12 and ((q - 4)*1)/((-6)/9)?
12
Let k be 791*(108/(-14) - -8). Let z = -206 + k. Calculate the lowest common multiple of 9 and z.
180
Let u be 430/129*(2551/5 + 1). Let l = u - 30691/18. Find the common denominator of 59/20 and l.
180
Find the common denominator of -109*(11/(-308))/((-243)/6) and -13/1890.
5670
Let n = 1104657/294448 + -872/239. Find the common denominator of n and 23/1232.
1232
Let z = 46 - 36. Let g be (-2)/z + 13595/15975. Let a = g + 9/71. Find the common denominator of 15/4 and a.
36
Let l = -14103/340 + 638/17. Let b = -80 - -73/2. What is the common denominator of l and b?
20
Suppose 3*d + w - 51 - 85 = 0, 0 = -3*w + 12. What is the lowest common multiple of 608 and d?
6688
Suppose -3*k - 2*k = d - 10, -2*d + 76 = -4*k. Suppose d*g = 44*g - 560. What is the least common multiple of g and 35?
280
Let s = -7742279941/3640 + 2127000. Calculate the common denominator of s and -47/8008.
40040
Let r = -356/171 + -28/19. Let x = 16717/6 + -2806. What is the common denominator of x and r?
18
Suppose 0 = -6*k + 207 + 1413. Let s(p) = p**3 - p**2 - 3*p. Calculate the least common multiple of s(3) and (k/(-12))/((-2)/4).
45
Suppose 27*t = -0*t - 648. Calculate the lowest common multiple of 388 and t/10*((-304)/24 + 6).
1552
Suppose 3004*u - 83 = 3003*u. Calculate the smallest common multiple of 11 and u.
913
Suppose 6*x + 2862 = 786. What is the common denominator of (-20)/(-5) + 33/(-60) and (-5 - x/40)*-2?
20
Suppose -2*u = 10 + 12. Let f = -6 - u. Calculate the common denominator of 3 - f - (-285)/10 and -9.
2
Find the common denominator of (-1)/(198/(-55)) + -8 and -17/50.
450
What is the smallest common multiple of 528 and (-68)/(-2) + 45 + -49?
2640
Let c = -12883 - -8644491/671. Let j = -6007/10736 + c. What is the common denominator of j and 95/188?
752
Suppose -3*a = -12, -f = 4*f - 2*a - 12. Let t be f*15/20 - 3024/1010. Let n = -24778/5555 + t. What is the common denominator of 91/16 and n?
176
Suppose 1 = -5*f - 9, -2*y + f = -8. Suppose -y*x + 231 = 4*r, -12*r + 10*r + 132 = -4*x. Calculate the least common multiple of 24 and r.
120
Suppose 0 = 5*k + 2*k - 5*k. Let y(a) = 2*a**2 + 2*a. Let p be y(k). Suppose 4*b + d + 79 = 0, b + 3*d + p*d = -17. Find the common denominator of b and -33/8.
8
Suppose 0 = 4*z - 937 - 1543. What is the common denominator of 143/30 and 1829/z + 2/(-6)?
60
Let t(p) = 70. Let i(v) = v + 142. Let b(h) = 3*i(h) - 5*t(h). Find the common denominator of 64/111 and b(-25).
111
What is the lowest common multiple of (-1 - -3)/(34/204) and 204?
204
Let z = -30 + 145/4. Calculate the common denominator of 111/494 and z.
988
Suppose -1350 = 284*k + 272*k - 565*k. What is the least common multiple of 180 and k?
900
Suppose 5*b + 3*y = 7*y + 1092, y + 218 = b. What is the common denominator of 138/56 - 2/8 and 230/b - (2 - 3)?
154
Suppose 0 = 25*i - 1035 + 160. Suppose -32*g - 162 = -i*g. Calculate the least common multiple of g and 22.
594
Let m = 82/7 - 746/35. Let p = -1169/3 - -395. What is the common denominator of m and p?
15
Let l = -5409 - -10189. Let i = l + -28567/6. What is the common denominator of 20/63 and i?
126
Suppose 103*i - 120 - 912 = 1028. Let p(b) = 37*b**2 - 3*b + 4. What is the least common multiple of i and p(-4)?
3040
Let y = -544/305 + -1/61. Let l = -18337319/6 + 45751479109/14970. Let u = -2/499 - l. Calculate the common denominator of y and u.
5
Let q = 4584/211 - 12752957/586791. Find the common denominator of q and -11/324.
33372
Let o = -1742 - -31337/18. Calculate the common denominator of ((-529137)/1386)/227*-1*1/8 and o.
1584
Let h(y) = 4*y**2 + 56*y + 747. What is the least common multiple of 2 and h(-23)?
3150
Let w(x) = x**2 + 13*x + 18. Let k be w(-12). Suppose -z = 5*m + 129, -4*z + 3 = -m - k. Find the common denominator of (m/(-10))/5*-81 and 67/18.
18
Suppose 4*h + 4*s = 0, -3*h - 2*s + 6 = 3*s. Find the common denominator of 37/32 and 1/h - 66/8.
96
What is the common denominator of 54/540 + (-3 - -4 - 2129/2030) and 98/1305?
9135
What is the least common multiple of 21 and 162/(-729) - (-102070)/45?
2268
Suppose -3*v - 2*x = 10, 0*v + 4*v + x = -15. Calculate the common denominator of (3/4 - 1) + (-94)/v and 8/5*(-28)/(-49).
140
Let b = 121222202 + -175773457. Let m = b + 37094839301/680. Let t = -203/10 - m. Calculate the common denominator of t and 85/8.
136
Let c = -5592 + 257249/46. Find the common denominator of 67/224 and c.
5152
Let d = -17 - -19. Let s = 682/27 + -3655/108. What is the common denominator of ((-18)/81)/(29/13 - d) and s?
108
Suppose 926 = 79*l + 19*l - 838. Let a = 423 - 233. Calculate the smallest common multiple of a and l.
1710
Suppose -3*r + 2*g = -490, 5*r + g - 294 - 501 = 0. Let y be ((-902)/5)/((r/75)/(-8)). Let l = y - 634. Find the common denominator of l and -49/16.
16
Let p = -6551 + 7036. What is the least common multiple of p and 35?
3395
Let t = -4020901/99 - -40616. What is the common denominator of -47/9 and t?
99
Let j = -24625/9 + 2740. Find the common denominator of j and -32/2441.
21969
Let x be (-5)/(-6 + 2463/411). Let p = 863 - x. What is the lowest common multiple of p and 8?
712
Let p = -954 - -956. Calculate the common denominator of 2/(-8) - (-32)/(-10) and (p/(-2) + 2)*(-3145)/(-222).
60
Suppose 14 = 2*s - 2*d, 22 = s + 9*d - 7*d. Suppose -3*k = -6 - 12. Suppose -2*v = -2 - k. Calculate the least common multiple of s and v.
12
Let m = -7388034639 + 157217377060481/21280. Let n = -13/665 + m. What is the common denominator of 139/84 and n?
672
Suppose 2*w - 4 = -0. Let t(n) = -9*n + 4 - 11*n**2 + 10*n**w - 3. Calculate the lowest common multiple of t(-9) and 18.
18
Suppose -2*g + 0*g = -4992. Let v = 35232 - 35212. What is the lowest common multiple of g and v?
12480
Let i be 2822/(-288) - 2/(-9). Let u = -104/9 - i. Calculate the common denominator of u and 33/40.
240
Let x = -2609 - -2705. Let t(l) = l**3 - 10*l**2 + 8 | {
"pile_set_name": "DM Mathematics"
} |
-n = 2*n + 21. Calculate the least common multiple of o(-15) and t(n).
44
Let m = 100 - 72. Suppose m = 8*k - k. What is the lowest common multiple of 10 and k?
20
Let x = -201827 - -107775545/534. What is the common denominator of -73/3 and x?
534
Suppose -q - 3 + 7 = 0. Let i(g) = -g**3 + 16*g**2 + 22*g - 544. What is the smallest common multiple of q and i(15)?
44
Let r(k) = -4*k - 13. Suppose 3*l + 2*j = 3*j - 16, 8 = -3*l + 5*j. Calculate the lowest common multiple of 2 and r(l).
22
Suppose -4*c + 5*l - 4 = 0, -4*c - c - l = 5. Calculate the common denominator of c/((-20)/(-3))*765/(-18) and 30/(-11) + (2 - 1).
88
Suppose k + 229 = 715. What is the lowest common multiple of k and 21?
3402
Let j = 62378/9 + -6938. Find the common denominator of j and -73/9.
9
Let n = 83 + -35. Find the common denominator of (178/n)/(15/(-45)) and -1 - 23*3/12.
8
Suppose -327 - 69 = 4*y. Let t = y + 878/9. Find the common denominator of -25/13 and t.
117
Let j be ((-2)/(-6))/((-1)/949). Let b = -9319/30 - j. Find the common denominator of b and (-124)/(-22) - (1 - 0).
110
Let k be -12*1*3/(-9). Calculate the common denominator of (6/90)/(10/(-1185)) and -2 + 71/k + 0.
20
Suppose -o - 2 = 0, 2*t + 2*t = -o + 10. Let j(z) = -5*z**2 + 6*z + 69. Calculate the lowest common multiple of j(-3) and ((-3)/2)/(t/(-8)).
12
Suppose -1524 = -14*k + 2172. Calculate the smallest common multiple of k and 16.
528
Suppose f + 1 - 19 = 0. Let g be f/(-99) + (-24)/(-11). Suppose 0 = -2*b - d + 18, -2 = b - 7*d + g*d. What is the least common multiple of 4 and b?
8
Let m = 3807605/66 - 57689. Calculate the common denominator of m and 93/16.
528
Let c be -3*(16060/(-6150) - (-1)/3). Let w be 528/(-574) - 4/(-14). Let s = w + c. Find the common denominator of s and -1/7.
35
Suppose -4*s = 3*n + 15 - 58, -n - s = -15. Let v = -8 + n. Calculate the smallest common multiple of v and 24.
72
Let n(r) = 506*r**2 - 3*r - 6. Let l be n(-5). Let i = l + -227723/18. Find the common denominator of 254/36 - (1 + -1) and i.
18
Find the common denominator of 61/3 and ((-12)/50)/(255/400).
255
Let b be 5/5 + (-2477)/6. Let z = 423 + b. Calculate the common denominator of -15/8 and z.
24
Let z = 56605/11 - 5150. Let m be (-8)/16 - 545/(-58)*1. Let c = -1555/174 - m. What is the common denominator of c and z?
66
Calculate the common denominator of -7 + 3 + 4543/1320 and 13/72.
360
Let h = -20 - -20. Suppose h = -4*q - 6 - 146. Let m = q - -41. Find the common denominator of m and -12/7.
7
Calculate the lowest common multiple of 36 and (-57)/(-38) + 93/2.
144
Let i = -733/8 - -92. Let a = -1881 + 71469/38. Calculate the common denominator of i and a.
152
Let u(b) = b**3 + 2. Let t be u(0). Suppose -18 = -2*p - 2*x, -t*p + 7*x - 3*x = -12. What is the lowest common multiple of p and 10?
40
Let b = 19 - 37. Let t(o) = o**3 + 17*o**2 - 20*o - 24. Suppose -20 = -p - p. Calculate the least common multiple of t(b) and p.
60
Let b = -3292 - -559513/170. Calculate the common denominator of 48/187 and b.
1870
Let o = 39/88 - -3/8. Find the common denominator of 47/11 and o.
11
Let h = 3/2185 - -128891/17480. Find the common denominator of h and -67/46.
184
Let k(m) = -7*m + 120. Let l(x) = -x**3 + 6*x**2 + 7. What is the least common multiple of l(6) and k(16)?
56
Let y = 1033 - 1012. What is the smallest common multiple of y and 3?
21
Let a = -4381 - -2131. Let o be 4/(-12) + 26809/12. Let f = a + o. What is the common denominator of f and -119/20?
20
Calculate the common denominator of -92/315 and ((-116)/(-1450))/((-84)/2055).
630
What is the least common multiple of ((-120)/18)/((-1)/3) and -1*2*(-16 + 7)?
180
Let u = -381/37 + 9441/518. What is the common denominator of 3*((-41)/18 - 4) and u?
42
Let g = 115 - 92. Let a(i) = -i - 1. What is the least common multiple of a(-7) and g?
138
Let n = 25/197 + -19903/3152. Calculate the common denominator of n and 59/18.
144
Let s = -140/9 + 2339/144. Let n = -27325/6 - -4538. What is the common denominator of n and s?
48
What is the lowest common multiple of (-24)/14*(-112)/72*6 and 856?
1712
Let d be 1 + 3 + 1 + -3. Suppose -90 = -3*v - 4*j, -4*j + 0*j - 80 = -d*v. What is the least common multiple of (8/10)/(2/5) and v?
34
What is the common denominator of -20/11 and 26/(-4) - -35*5/(-25)?
22
Calculate the common denominator of (2*(-10)/(-72))/((-20)/(-25)) and 97/18.
72
Calculate the common denominator of -1/9 and (6/378)/(-4 + (-1972)/(-492)).
63
Let c = -10 + 30. Let t = c + -15. What is the lowest common multiple of 2 and t?
10
Let u(l) = l**2 - 3*l + 4. Let d(m) = m**3 + m**2 - m + 3. Let t be d(0). Let s(c) = -223*c + 229. What is the lowest common multiple of u(t) and s(1)?
12
Suppose 3 = -b + 23. Calculate the least common multiple of b and -4 + 5 + -1 + 4.
20
Suppose 5*z - 46 = -n, 0*z - z + 2 = 2*n. Let b(p) = -9*p - 3*p**2 + 2*p**2 + 7 - 3*p + 12. Calculate the lowest common multiple of b(-13) and z.
30
Let t(w) = 2*w + 6. Let p be t(-2). Let m = -2716 - -43477/16. Find the common denominator of m and (p/3)/(48/(-738)).
16
Let z = -10544 - -295139/28. Calculate the common denominator of -127/140 and z.
140
Let k = -141/5 + 2114/75. Find the common denominator of k and -69/2.
150
Let l(o) = o - 2. Let n be l(9). Suppose n*z - 5 = 9. Calculate the lowest common multiple of 4 and z.
4
Suppose -v = -5*v + 40. Suppose -w = 7 - v. Suppose 3*c = -w*c + 108. Calculate the least common multiple of c and 4.
36
Let i = -8 + 19. Let g be ((-2)/(-4))/(2/20). Suppose -g*b + 39 = -i. Calculate the smallest common multiple of 5 and b.
10
Let s = -56 - -7. Let m = 16423 + -230607/14. Let v = m - s. Find the common denominator of v and -21/16.
112
Let x = 1913 + -1911. What is the smallest common multiple of x and 1956?
1956
Let j = 7550/4257 + 2/473. Find the common denominator of (-6)/18*150/(-22) and j.
99
Suppose 3*j - 4*j - 13 = 4*o, 5*o + 5 = -5*j. Calculate the common denominator of -55/108 and (2/8)/(o + 1746/444).
540
Let j = 18 - 14. Suppose -8 - 6 = -5*v + 2*k, j*v + 5*k = -2. What is the lowest common multiple of (3 - 1/(-1))/v and 18?
18
Let a(i) = -i**3 - 12*i**2 + 8*i - 12. Let m be a(-9). What is the common denominator of m/(-6)*(-5)/30 and -13/3?
12
Suppose 3*l = 5*w + 70, -3*l + w + 66 = -20. Suppose -5*z = 5*p + l, -10 = z + 3*p - 0*p. What is the common denominator of ((-34)/(-11) - z) + -4 and -31/20?
220
Let y = -15091 + 324. Let k be 4/6*y/6. Let p = k - -1637. What is the common denominator of -121/10 and p?
90
Let k(n) = -n**2 + 1. Let v(x) = 7*x**2 + 2*x - 6. Let y(c) = -6*k(c) - v(c). Calculate the smallest common multiple of y(-1) and 10.
10
Let s be (3/(-3))/((-1)/5). Let v be (1 + 10/(-8))*0. Suppose s*r + 20 = v, -4*a + 126 = a - 4*r. Calculate the least common multiple of 6 and a.
66
Let p = 32/9328205 - -12819388329841/485066660. Let l = p - 26427. What is the common denominator of -81/10 and l?
260
Suppose -40*x + 55*x - 360 = 0. Calculate the least common multiple of 333 and x.
2664
Let w be 4/6*(-18)/(-1). Find the common denominator of (-7)/175*(-365)/2 and 17/(-5) + (-6)/w.
10
Let b(t) = -15*t + 3. Let z(c) = -c**2 + 10*c - 18. Let f be z(8). Let y be b(f). Let j = -21 + y. Calculate the smallest common multiple of 10 and j.
60
Let b(g) = -2*g + 3*g - 4 + 2. Let p(r) = 2*r**2 + 1. What is the least common multiple of b(4) and p(-1)?
6
Let j be 240/((-5 - -9)/(-4)). Calculate the common denominator of j/102 - -2*2 and 67/2.
34
Let n(y) = 9 - y - y + y. Suppose 97*x - 204 = 63*x. Calculate the smallest common multiple of x and n(4).
30
Let j = 18329/70 - 1779/7. Calculate the common denominator of 10/109 and j.
1090
Suppose q = -5*w + 424, -5*w + 23 = -4*q - 381. Calculate the smallest common multiple of 8 and w.
168
Suppose q = -5*r - 16, -5*q - 3 = -5*r - 43. Find the common denominator of (-5)/(-6) + 6/9 and (-46)/r*(-12)/30.
10
Let j(m) = -6*m**2 + 5*m - 4. Let z be j(2). Let w = 23 + z. Suppose -3 = w*a - 63. Calculate the least common multiple of 14 and a.
84
Suppose -4*t = 2*l - 40, -l + 4*l - 35 = -t. Suppose -l = 20*x - 21*x. Calculate the lowest common multiple of 2 and x.
10
Suppose 6*l - 21 = 3*l. Let f = -45 - -64. What is the least common multiple of l and f?
133
Let t = -51 - -121. What is the smallest comm | {
"pile_set_name": "DM Mathematics"
} |
divided by 320.
316
What is the remainder when 36953 is divided by 3686?
93
What is the remainder when 9416158 is divided by 168140?
318
What is the remainder when 58468497 is divided by 71?
68
Calculate the remainder when 413617 is divided by 1137.
886
Calculate the remainder when 11189758 is divided by 248.
246
Calculate the remainder when 72299 is divided by 896.
619
Calculate the remainder when 361351 is divided by 28.
11
What is the remainder when 5976835 is divided by 1287?
7
Calculate the remainder when 397716 is divided by 191.
54
What is the remainder when 22031174 is divided by 310298?
16
What is the remainder when 124811206 is divided by 1116?
1114
Calculate the remainder when 1000345 is divided by 712.
697
What is the remainder when 280052 is divided by 93349?
5
What is the remainder when 13668227 is divided by 4556069?
20
Calculate the remainder when 10150671 is divided by 3051.
3045
Calculate the remainder when 10046492 is divided by 16.
12
What is the remainder when 415267 is divided by 59?
25
Calculate the remainder when 18045742 is divided by 15.
7
Calculate the remainder when 986518 is divided by 3008.
2902
Calculate the remainder when 18781 is divided by 5622.
1915
Calculate the remainder when 84409 is divided by 888.
49
Calculate the remainder when 904675 is divided by 301171.
1162
What is the remainder when 4295065 is divided by 23?
22
What is the remainder when 990748 is divided by 43?
28
Calculate the remainder when 21457710 is divided by 5921.
6
Calculate the remainder when 20855260 is divided by 160425.
10
What is the remainder when 140588 is divided by 17459?
916
What is the remainder when 1882620 is divided by 941294?
32
What is the remainder when 1287606 is divided by 25?
6
Calculate the remainder when 3159245 is divided by 1053073.
26
Calculate the remainder when 162754 is divided by 4068.
34
What is the remainder when 34003470 is divided by 26?
20
Calculate the remainder when 2678024 is divided by 1339001.
22
Calculate the remainder when 69695 is divided by 269.
24
Calculate the remainder when 108494 is divided by 36121.
131
What is the remainder when 1096998 is divided by 36566?
18
Calculate the remainder when 178213 is divided by 771.
112
Calculate the remainder when 479511 is divided by 53277.
18
What is the remainder when 78052 is divided by 11126?
170
What is the remainder when 34705035 is divided by 323?
300
Calculate the remainder when 810724 is divided by 1682.
0
What is the remainder when 18840819 is divided by 1906?
9
What is the remainder when 7816659 is divided by 815?
809
Calculate the remainder when 11288430 is divided by 76.
74
What is the remainder when 6055624 is divided by 14698?
48
What is the remainder when 206667 is divided by 1033?
67
What is the remainder when 99645 is divided by 32477?
2214
What is the remainder when 4570952 is divided by 2149?
29
What is the remainder when 305177 is divided by 116?
97
Calculate the remainder when 352466 is divided by 70479.
71
Calculate the remainder when 12082 is divided by 5983.
116
Calculate the remainder when 645849 is divided by 31.
26
Calculate the remainder when 2068980 is divided by 406.
4
What is the remainder when 303156509 is divided by 34?
31
What is the remainder when 389109 is divided by 8268?
513
What is the remainder when 1231943 is divided by 102659?
35
Calculate the remainder when 1443947 is divided by 44.
43
What is the remainder when 7194781 is divided by 3597373?
35
What is the remainder when 138694 is divided by 133925?
4769
Calculate the remainder when 39343 is divided by 2291.
396
What is the remainder when 1101135 is divided by 364195?
8550
What is the remainder when 120700410 is divided by 1432?
1426
What is the remainder when 858961 is divided by 286275?
136
What is the remainder when 11004400 is divided by 897?
4
Calculate the remainder when 230414 is divided by 17721.
41
What is the remainder when 1138234 is divided by 72?
58
What is the remainder when 76174 is divided by 1873?
1254
Calculate the remainder when 593672 is divided by 79.
66
Calculate the remainder when 140409 is divided by 2007.
1926
What is the remainder when 1753916 is divided by 870?
866
What is the remainder when 3871395 is divided by 6?
3
Calculate the remainder when 210299 is divided by 1945.
239
What is the remainder when 209398368 is divided by 122?
8
Calculate the remainder when 441555 is divided by 1322.
7
Calculate the remainder when 22013075 is divided by 646.
625
Calculate the remainder when 1712806 is divided by 309.
19
What is the remainder when 7985509 is divided by 3319?
3314
Calculate the remainder when 276780 is divided by 4854.
102
What is the remainder when 3315733 is divided by 1105236?
25
What is the remainder when 65582 is divided by 21523?
1013
Calculate the remainder when 47583 is divided by 14211.
4950
Calculate the remainder when 349357 is divided by 519.
70
Calculate the remainder when 12794906 is divided by 1204.
1202
What is the remainder when 3337047 is divided by 7085?
12
What is the remainder when 4291619 is divided by 238422?
23
What is the remainder when 352708 is divided by 121?
114
What is the remainder when 1263154 is divided by 157891?
26
Calculate the remainder when 155496 is divided by 154077.
1419
Calculate the remainder when 55259 is divided by 2298.
107
Calculate the remainder when 70753974 is divided by 23.
17
Calculate the remainder when 355488 is divided by 128.
32
Calculate the remainder when 3696107 is divided by 19.
18
What is the remainder when 4862935 is divided by 1620978?
1
Calculate the remainder when 103176 is divided by 33409.
2949
What is the remainder when 331157 is divided by 2207?
107
What is the remainder when 265107 is divided by 19?
0
Calculate the remainder when 449834 is divided by 11223.
914
What is the remainder when 30787976 is divided by 17735?
16
Calculate the remainder when 197279 is divided by 1996.
1671
Calculate the remainder when 17743664 is divided by 548.
520
Calculate the remainder when 284226 is divided by 293.
16
What is the remainder when 340856 is divided by 15493?
10
What is the remainder when 1438941 is divided by 79938?
57
Calculate the remainder when 34631444 is divided by 88.
12
Calculate the remainder when 74753440 is divided by 27.
25
What is the remainder when 14054680 is divided by 184?
24
What is the remainder when 217956 is divided by 54?
12
What is the remainder when 60085 is divided by 60048?
37
Calculate the remainder when 3625243 is divided by 906304.
27
What is the remainder when 51717393 is divided by 18083?
13
What is the remainder when 108471 is divided by 8232?
1455
What is the remainder when 28137926 is divided by 67?
3
Calculate the remainder when 505972 is divided by 411.
31
Calculate the remainder when 258614 is divided by 8916.
50
What is the remainder when 10002274 is divided by 418?
370
Calculate the remainder when 10134048 is divided by 205.
78
What is the remainder when 14764531 is divided by 44741?
1
What is the remainder when 29267518 is divided by 38?
32
Calculate the remainder when 2494756 is divided by 70.
26
Calculate the remainder when 55415334 is divided by 1185.
1179
What is the remainder when 8943355 is divided by 104?
83
Calculate the remainder when 14031554 is divided by 215870.
4
Calculate the remainder when 103974555 is divided by 3637.
3636
What is the remainder when 5150272 is divided by 2341?
72
What is the remainder when 1235901 is divided by 15043?
2375
Calculate the remainder when 1638798 is divided by 331.
17
Calculate the remainder when 1401749 is divided by 623.
622
Calculate the remainder when 3324586411 is divided by 8549.
8546
What is the remainder when 7976167 is divided by 121?
89
Calculate the remainder when 30823597 is divided by 4404.
1
What is the remainder when 34139546 is divided by 76546?
30
Calculate the remainder when 2332809 is divided by 139.
111
Calculate the remainder when 5026262 is divided by 1675416.
14
Calculate the remainder when 1844114 is divided by 36882.
14
What is the remainder when 53663935 is divided by 8943988?
7
Calculate the remainder when 559820 is divided by 2856.
44
Calculate the remainder when 257222 is divided by 5818.
1230
What is the remainder when 27634304 is divided by 42?
26
What is | {
"pile_set_name": "DM Mathematics"
} |
2*i**2 - 3*i - 1. Let h be o(-1). Let y be 119/(-245) - 2/h. Which is the smallest value? (a) -0.5 (b) y (c) 4
a
Let l = -0.0504 - 0.2496. Which is the third biggest value? (a) -16 (b) -0.5 (c) l (d) 0.5
b
Let c = 1.239 + -1.539. What is the third biggest value in 3.8, -0.1, c?
c
Let h = -2734/5 - -550. Suppose 0 = -7*b - 3*b - 30. Let u = b + h. What is the third smallest value in -0.3, u, 5?
5
Let u = 0.064 - 5.764. Let b = u - 1.3. Let h = b - -9. What is the third biggest value in -0.4, h, -6/7?
-6/7
Let m = -36.94 + -0.06. Let s = 42 + m. What is the biggest value in 3, s, 1/7?
s
Let x = -1.26 - -0.06. Let q = 1 + x. Let u = -8006 + 8001. Which is the third biggest value? (a) q (b) u (c) 0
b
Suppose 3*t + 4*i - 2*i = -197, 2*t = -5*i - 146. Let y be 2 - ((-51)/t - 8/(-6)). What is the fourth biggest value in y, -2/7, -1/2, 0?
-1/2
Suppose -5*b + b = 16. Let k(v) = -v + 6*v - v - 1 - 2*v. Let o be k(1). What is the smallest value in 5, o, b?
b
Suppose 3*g - 1 = 11. Let r = -97 - -100.2. Which is the second smallest value? (a) -5 (b) g (c) r
c
Suppose 5*o - 9*u + 5*u - 20 = 0, 10 = 4*o - 2*u. What is the third smallest value in -9, -4/15, o?
o
Let v = 6 + -6.04. Let h = 128 - 131. Which is the smallest value? (a) -1 (b) h (c) v
b
Let g = -9.9142 - 0.0858. Which is the smallest value? (a) g (b) -4 (c) -3
a
Let f = -816 + 8978/11. Which is the second smallest value? (a) f (b) -1 (c) 2 (d) 170
a
Let l = 14 + -11. Let z be (3 - (-34)/(-20)) + l/15. Let n = 3.1 + -3. Which is the smallest value? (a) n (b) -1/6 (c) z
b
Let x = 26 - 30. Let k = -6.2 + 4.2. What is the third biggest value in k, 21, x?
x
Let u = -15.12 - -13.9. Let o = 1.1 + u. Let d = o - -0.42. Which is the smallest value? (a) d (b) 0.2 (c) 3
b
Let d = -12.79 - -13. Let c = -0.51 + d. What is the third smallest value in -8/7, 1/5, c?
1/5
Let m = 612.7 - 553. Let z = m - 60. Let j = -7 + 4. What is the second smallest value in -1, z, j?
-1
Let j = 19 - 136. Let r be (-2)/((-4)/(-4)) + j. Let s = r + 353/3. Which is the second biggest value? (a) -3 (b) -2/9 (c) s
c
Let r = 6500 - 6499.6. Let q be 33/(-4) - (-4)/16. Which is the third biggest value? (a) 0.3 (b) r (c) q
c
Let z be (-6105)/(-74)*(-4)/(-6). Suppose 20 = z*d - 59*d. Let t = 4 - 4.08. Which is the third biggest value? (a) 1/3 (b) t (c) d
c
Let w = 5/23 - -8/69. Which is the third smallest value? (a) -7 (b) -1/4 (c) 5/2 (d) w
d
Let h = 3.6 - 8.6. Let n = 0.3 + -0.15. Let x = 4.15 - n. Which is the third smallest value? (a) -0.03 (b) x (c) h
b
Let l = -1.4 + 1.4. Suppose 11 = -5*g + 4*k, -8 = 3*g - 3*k + 1. Let n be (g/(-3))/1*(4 + -2). Which is the biggest value? (a) n (b) 1/2 (c) l
b
Let u = 5 + -3. Let m = -5.57 + 50.97. Let n = m + -45. Which is the biggest value? (a) 1 (b) u (c) n
b
Suppose 3*q + 4*f - 27 = 2*q, 5*q = 3*f + 89. Suppose -i = 2*x + q, -3*i - 50 = 2*i + x. What is the second biggest value in -5, -0.03, i?
-5
Let h = -561.7 - -562. What is the smallest value in 0.02, h, -2?
-2
Suppose -15 = s - 5*h, 9*s + h - 45 = 5*s. What is the biggest value in s, -2, -3?
s
Let w = 51 - 23. What is the third smallest value in 0.1, 4, w?
w
Let i be -6 - (-17)/2 - 27/6. What is the fourth smallest value in 0.5, i, 6/11, -0.5?
6/11
Suppose h + i + 90 = 0, -3*h = -5*i + 342 - 64. What is the second biggest value in h, -1/3, 0.3?
-1/3
Let o be -6 + (414/48 - 3). What is the second biggest value in 1, o, -5?
o
Let o = -19899 + 19895. Let z be 74/160 + 4/(-10). Which is the fourth biggest value? (a) 0.2 (b) o (c) -2 (d) z
b
Let f = -65 - -37. Let o = -26 - f. Let w = 2.3 - o. Which is the third smallest value? (a) w (b) 0.4 (c) 1.3
c
Let m = 64.1 + -63.7. What is the second biggest value in m, 0, 61/6?
m
Let u = 8.1 - -2.9. Let i = u + -16. Let k = i + 5.2. Which is the second biggest value? (a) -1/2 (b) -4 (c) k
a
Let f = 714 + -710. What is the second biggest value in 3, 5, f, -3/2?
f
Let d = -67.7 - -0.7. Let i = -67 - d. Which is the biggest value? (a) 1 (b) -1/4 (c) i
a
Let i = -13.908 + -0.092. Let v = 0.217 + 13.733. Let t = v + i. Which is the biggest value? (a) 2/3 (b) t (c) 1/2
a
Let j = -277 + 277.3. Which is the third biggest value? (a) j (b) -2/7 (c) 0.4 (d) 2/15
d
Let a = 0.73 + -30.73. Let c = -48 - a. Let d = 0.1195 + 4.8805. What is the biggest value in c, 4, d?
d
Let i = 0.1 + 0.4. Let v be 2367/(-2808) + 4/(-6). Let f = 18/13 + v. Which is the biggest value? (a) f (b) i (c) -2/3
b
Let t = 15 + -11. Let w = 16/5 + -4. What is the fourth smallest value in w, t, -1, 3?
t
Let q = -0.8 - -0.4. Suppose -4*f - 25 = -9*f. Let r be 12 + (-180)/42 + -8. What is the biggest value in f, r, q?
f
Let k = 155/18 - 64/9. What is the second smallest value in k, -2.6, 4/9?
4/9
Let q = 0.17 - 0.07. Let u = -245 - -2203/9. Which is the biggest value? (a) q (b) u (c) 7
c
Let l be (3/(-4))/(19/(760/(-75))). What is the fourth smallest value in 2/3, -1/6, 2, l?
2
Let w be 1*(-26)/91 + 8/126. What is the fourth biggest value in -4, 3/5, w, 5/2?
-4
Suppose -22 = -12*p + 26. What is the biggest value in -0.5, p, 0.14?
p
Let s = -10/27 + 28/27. What is the smallest value in -2/5, -5, s, 0.1?
-5
Let i = 2.89 + 16.11. Let y = -11 + -13. Let a = y + i. What is the third biggest value in a, 1, -1?
a
Let i = 2704 - 2720. Which is the third biggest value? (a) -1 (b) i (c) -2/3 (d) -3/4
a
Suppose 43*s = 25*s. Suppose -3*l + 49 = -20. Suppose 3*d + l = 2*w, -2 = 2*w + 4*d + 10. Which is the third biggest value? (a) w (b) 3 (c) s
c
Let o = -174 - -1216/7. Let w = 3.3 - 7.3. What is the fourth smallest value in w, -3, o, 0.4?
0.4
Let o = -353 + 352. What is the second biggest value in 0.07, o, -32?
o
Let v be (5/(-3))/(135/(-486)). Let t be 22/(-99)*(-1 + 15/v). What is the smallest value in -4, t, 1?
-4
Let m = 243 - 1943/8. What is the second biggest value in -2, 2/3, -5, m?
m
Let m(y) = -y - 8. Let o be m(-7). Let x = -75.4 - -54. Let z = 21 + x. What is the biggest value in z, -1/8, o?
-1/8
Let l = -2 - -23. Let v = -17 + l. Which is the biggest value? (a) -10 (b) -5 (c) v
c
Let x = 12.98 - 13. Let j = x - -0.01. Let g = j - -0.51. Which is the biggest value? (a) -2/17 (b) g (c) 4/3
c
Let w be 6/14 - ((-92)/14 - -2). Let n be 2/(-8) + (-42)/(-40). What is the second biggest value in w, 4, n?
4
Let n = 18.3 + -3.3. Let v = 0.58 - -15.42. Let w = v - n. Which is the biggest value? (a) w (b) 0.1 (c) -1
a
Let l = 9 - -2. Let m = 10.34 - -0.46. Let r = l - m. Which is the biggest value? (a) r (b) -4 (c) 2/9
c
Let u = -6 + 3. Let m = -13.1 - u. Let t = -10 - m. Which is the third smallest value? (a) -0.1 (b) t (c) 5/3
c
Let x = 39 - 38. Let z = 1357/3576 + -2/447. Which is the second smallest value? (a) -0.1 (b) x (c) z (d) -4
a
Let r = 22 - 19. Suppose r*k + 15 = 3*l, 0 = -8*k + 3*k - 5*l + 25. Let y be 3/(-2)*(-8)/6. Which is the biggest value? (a) 3 (b) y (c) k
a
Let p = -3.84 - -3.54. Which is the biggest value? (a) -2/5 (b) p (c) 0 (d) 3
d
Let n = 4 - 0. Suppose 23*o = 14*o - 18. Let v be 1 + o*(-21)/(-36). Which is the third smallest value? (a) n (b) v (c) -4/7
a
Let i = 8 - -13. Let v = -7 - i. Let d be 1/(4/(32/v)). Which is the second biggest value? (a) -0.2 (b) d (c) -2/3
b
Let h(u) = -u**3 + u**2 + 39*u - 102. Let m be h(4). Which is the fourth smallest value? (a) 4 (b) m (c) 29 (d) -4
c
Let m be -2*(-4 - (-5)/2). Suppose m*w = -3*a + w - 12, -2*w - 16 = 5*a. What is the second biggest value in -5, a, 3?
a
Let r = 425.5 + -426. What is the biggest value in r, 1, 7?
7
Let a = 87 - 59. Let y = a + -25. Let v = -1.2 - -0.2. What is the third smallest value in y, v, 2?
y
Let z = -9 + 9. Let r = -607 + 609. What is the fourth smallest value in -5, r, 0.5, z?
r
Let s = -20.2 + 35.5. Let g = 0.7 - -14.3. Let x = s - g. Which is the third smallest value? (a) -0.1 (b) x (c) -0.2
b
Let l = -57 + 57.1. Let x = -2 - -2.2. What is the fourth smallest value in x, 0.03, l, -1/5?
x
Let q(c) = c**2 + 8*c - 7. Let l be q(-9). Suppose -b - 3 - l = 0. What is the smallest value in 1, -1, b?
b
Let b = 0.232 - 0.632. What is the third smallest value in b, 3/2, -3, 2?
3/2
Let g be 58/203 + 39/21. What is the second smallest value in | {
"pile_set_name": "DM Mathematics"
} |
is divided by 30?
21
Calculate the remainder when 1448570 is divided by 961.
343
Calculate the remainder when 8945083 is divided by 344041.
17
Calculate the remainder when 40951260 is divided by 3602.
122
What is the remainder when 625018 is divided by 2881?
2722
Calculate the remainder when 478977974 is divided by 801.
800
Calculate the remainder when 277618 is divided by 778.
650
Calculate the remainder when 106639587 is divided by 27.
9
Calculate the remainder when 72543948 is divided by 481.
9
What is the remainder when 23474 is divided by 21510?
1964
Calculate the remainder when 709115 is divided by 4297.
110
What is the remainder when 286258 is divided by 1322?
706
Calculate the remainder when 51390 is divided by 10213.
325
What is the remainder when 1789667 is divided by 119?
26
Calculate the remainder when 13900839 is divided by 6950078.
683
Calculate the remainder when 782485 is divided by 5472.
5461
Calculate the remainder when 566865 is divided by 105.
75
Calculate the remainder when 11426269 is divided by 88.
85
What is the remainder when 2119412 is divided by 1479?
5
Calculate the remainder when 195883 is divided by 64983.
934
What is the remainder when 55802 is divided by 23466?
8870
Calculate the remainder when 5304014 is divided by 2727.
2726
Calculate the remainder when 47547173 is divided by 2796891.
26
What is the remainder when 2425750 is divided by 8853?
28
Calculate the remainder when 130303 is divided by 1776.
655
Calculate the remainder when 211145 is divided by 873.
752
What is the remainder when 10228414 is divided by 2045679?
19
What is the remainder when 747351 is divided by 1271?
3
What is the remainder when 432593 is divided by 3326?
213
What is the remainder when 63554960 is divided by 253207?
3
What is the remainder when 927262 is divided by 18922?
84
What is the remainder when 93433638 is divided by 31144542?
12
Calculate the remainder when 19965 is divided by 2707.
1016
What is the remainder when 88297 is divided by 446?
435
What is the remainder when 383039 is divided by 47014?
6927
What is the remainder when 7870490 is divided by 160622?
12
What is the remainder when 2792320 is divided by 595?
580
Calculate the remainder when 8014750 is divided by 667895.
10
Calculate the remainder when 1856872 is divided by 14737.
10
Calculate the remainder when 21120693 is divided by 718.
5
Calculate the remainder when 1036253 is divided by 115138.
11
Calculate the remainder when 7179323 is divided by 421.
10
Calculate the remainder when 88020 is divided by 1301.
853
What is the remainder when 23438 is divided by 250?
188
Calculate the remainder when 259002 is divided by 7.
2
Calculate the remainder when 5643 is divided by 2771.
101
What is the remainder when 85179 is divided by 515?
204
Calculate the remainder when 5835 is divided by 867.
633
Calculate the remainder when 3401168 is divided by 532.
92
What is the remainder when 42753190 is divided by 4028?
4026
Calculate the remainder when 2157668 is divided by 22953.
86
What is the remainder when 12906099 is divided by 193?
189
Calculate the remainder when 4546268 is divided by 378844.
140
What is the remainder when 15053133 is divided by 1447?
1439
What is the remainder when 1808966 is divided by 634?
164
Calculate the remainder when 950887 is divided by 949281.
1606
What is the remainder when 7455575 is divided by 1900?
1875
Calculate the remainder when 9484386 is divided by 4742175.
36
What is the remainder when 1227770 is divided by 231?
5
Calculate the remainder when 12424038 is divided by 153383.
15
Calculate the remainder when 287395 is divided by 13038.
559
What is the remainder when 12457 is divided by 6132?
193
What is the remainder when 3720524 is divided by 43?
35
What is the remainder when 143617140 is divided by 2503?
6
Calculate the remainder when 1503763 is divided by 1488.
883
What is the remainder when 1339204 is divided by 1339197?
7
Calculate the remainder when 1583907 is divided by 217.
24
What is the remainder when 264603230 is divided by 131?
129
What is the remainder when 3323446 is divided by 558?
556
What is the remainder when 9289688 is divided by 194?
192
What is the remainder when 281049 is divided by 70249?
53
What is the remainder when 36104832 is divided by 1900254?
6
Calculate the remainder when 36406294 is divided by 17.
12
What is the remainder when 443416 is divided by 29534?
406
What is the remainder when 4241087 is divided by 315?
242
Calculate the remainder when 360224 is divided by 119993.
245
What is the remainder when 91308 is divided by 3990?
3528
What is the remainder when 135894 is divided by 67774?
346
Calculate the remainder when 866742 is divided by 2.
0
What is the remainder when 29295564 is divided by 951?
9
Calculate the remainder when 3689349 is divided by 103.
95
Calculate the remainder when 387264 is divided by 817.
6
What is the remainder when 41428 is divided by 4471?
1189
What is the remainder when 1012251 is divided by 27?
21
Calculate the remainder when 17674504 is divided by 11425.
29
What is the remainder when 226517 is divided by 256?
213
Calculate the remainder when 10669236 is divided by 53885.
6
What is the remainder when 20196363 is divided by 10806?
10755
Calculate the remainder when 4362710 is divided by 750.
710
Calculate the remainder when 1732775 is divided by 1994.
1983
Calculate the remainder when 508153775 is divided by 1392.
1391
What is the remainder when 47262333 is divided by 501?
498
What is the remainder when 30554407 is divided by 4364914?
9
Calculate the remainder when 5866280 is divided by 409.
402
What is the remainder when 437289 is divided by 217939?
1411
Calculate the remainder when 7569911 is divided by 628.
627
What is the remainder when 1562723 is divided by 306?
287
Calculate the remainder when 25490 is divided by 3922.
1958
What is the remainder when 267269 is divided by 3560?
269
Calculate the remainder when 580783 is divided by 6879.
2947
Calculate the remainder when 880067 is divided by 145.
62
Calculate the remainder when 3016217 is divided by 1508108.
1
What is the remainder when 101104 is divided by 5042?
264
Calculate the remainder when 275535 is divided by 5838.
1149
What is the remainder when 23195995 is divided by 217?
214
Calculate the remainder when 171588145 is divided by 537.
535
What is the remainder when 741114 is divided by 1229?
27
Calculate the remainder when 987598 is divided by 881.
878
What is the remainder when 11107083 is divided by 11?
9
Calculate the remainder when 106492 is divided by 484.
12
Calculate the remainder when 56902 is divided by 58.
4
Calculate the remainder when 12109583 is divided by 158.
147
What is the remainder when 23861641 is divided by 18077?
1
Calculate the remainder when 1138305 is divided by 398.
25
What is the remainder when 3903872 is divided by 1001?
973
What is the remainder when 14242 is divided by 11420?
2822
Calculate the remainder when 8220 is divided by 1438.
1030
What is the remainder when 1276526 is divided by 89?
88
What is the remainder when 810266 is divided by 9?
5
Calculate the remainder when 215808 is divided by 107888.
32
What is the remainder when 310888 is divided by 62140?
188
Calculate the remainder when 41861 is divided by 6751.
1355
What is the remainder when 2350873 is divided by 1401?
1396
Calculate the remainder when 10804328 is divided by 240096.
8
Calculate the remainder when 39839671 is divided by 95.
91
Calculate the remainder when 21628 is divided by 3521.
502
Calculate the remainder when 265638 is divided by 12404.
5154
What is the remainder when 124689 is divided by 166?
23
Calculate the remainder when 342686 is divided by 114142.
260
Calculate the remainder when 1475855 is divided by 1475829.
26
Calculate the remainder when 2244668 is divided by 290.
68
What is the remainder when 29107 is divided by 1058?
541
What is the remainder when 5900504 is divided by 3475?
3429
What is the remainder when 146300 is divided by 72933?
434
What is the remainder when 2182765 is divided by 727581?
22
Calculate the remainder when 29825181 is divided by 7.
1
Calculate the remainder when 66187 is divided by 416.
43
Calculate the remainder when 34302166 is divided by 60.
46
Calculate the remainder when 404146 is | {
"pile_set_name": "DM Mathematics"
} |
rrange 6*f**2 + 5*f**3 + 3*f**4 - 2*f**2 - 10*f**3 - 21*f + 48*f - 25*f to the form j*f**3 + w + r*f + p*f**2 + g*f**4 and give r.
2
Express -10563*z + 4804*z + 3136*z + 8114*z in the form q + f*z and give f.
5491
Express 439*j**3 - 2 + 3*j**4 - 440*j**3 - 1091*j**2 + 403*j**2 in the form c*j**4 + g + x*j**3 + k*j + u*j**2 and give u.
-688
Express (-18 + 18 - 71*w)*((3*w + w - 2*w)*(-5*w + 4*w + 3*w) - 8*w**2 + w**2 - 2*w**2 - 2*w**2 + 0 + 0) as u*w**2 + p*w**3 + a + q*w and give p.
497
Express (90*h**2 - 9*h**2 - 3*h**2)*(-3 - 9 + 3)*(-15*h + 21*h + 1 + 16*h**2 - 8*h) as c*h + j*h**2 + z*h**3 + g + v*h**4 and give z.
1404
Rearrange -2*a**3 + 1228*a**2 - 6*a**3 - 1193*a**2 + 4 + 0 to t*a**3 + u + c*a**2 + v*a and give c.
35
Rearrange (-30010 + 2364*a + 30010 + (1 + 0 + 1)*(a + 0*a - 2*a))*(-2 + 2 - 1) to the form y*a + t and give t.
0
Express -117*n - 54*n + 5*n**3 + 144*n in the form w + z*n**3 + y*n**2 + m*n and give m.
-27
Rearrange -4*i - i + 4*i + (-71 - 1826 + 434)*(3*i - 5*i - i) to the form l*i + y and give y.
0
Rearrange (-4 - 3 + 5)*(48*o - 6*o - 713130*o**3 + 712341*o**3) to the form d + m*o**3 + b*o + s*o**2 and give b.
-84
Express -146*t - 87 + 42 - 678*t + 42 as q + p*t and give p.
-824
Express -22*t**2 + 14 - 28 + 72*t**4 + 36*t**2 + 2*t**3 + 12 - 25*t**2 as m*t**2 + k*t + z*t**3 + o*t**4 + b and give z.
2
Rearrange (5*a**3 - 2*a**2 + 2*a**2)*(-2 + 1 + 4 + (1 + 2 + 0)*(-4 - 1 + 3))*(5*a + a + 0*a) to the form z + s*a**2 + p*a**3 + y*a**4 + t*a and give y.
-90
Rearrange 11 - 59*p**2 + 15 - 3*p - 9 to c*p**2 + o*p + x and give x.
17
Express -976 + 5*r**2 + r**3 - 3*r**3 + 488 - 13*r**4 + 484 in the form m*r**4 + g*r**3 + b + h*r + p*r**2 and give g.
-2
Rearrange 105*q + 17*q - 5*q**2 - 124*q + 1510 - 111 to v + b*q + n*q**2 and give v.
1399
Express (5 + 1 - 3)*(-12*n - 9*n + 6*n)*(3 - 5 + 0) + 36*n + 13*n - 15*n in the form b + f*n and give f.
124
Rearrange -784*u - 11 - 768*u + 2355*u - 779*u to the form k + a*u and give a.
24
Express 4*c**3 - 234 + 7*c**3 + 236 + 12*c**2 - 6*c**2 as j*c + t*c**2 + x*c**3 + y and give x.
11
Rearrange -309 + 86 + 83 + 98 - 42*x + 55 to s + d*x and give d.
-42
Rearrange -44 - 307*a + 154*a + 156*a + (-2*a + 0*a - a)*(1 - 3 + 5) + 2*a + 7*a - 3*a + (-2*a - 1 + 1)*(-1 - 3 + 2) to the form q + y*a and give y.
4
Rearrange (1987 - 5429 - 3658 - 1565)*(12*c**3 + 3*c**3 - 4*c**3) to g*c + f + i*c**2 + v*c**3 and give g.
0
Express -630*l + 2708*l + 4546 + 874*l - 4546 as c + j*l and give j.
2952
Rearrange 11*o**3 - o + 4*o + 29*o + 8*o to c*o + a*o**2 + w*o**3 + l and give w.
11
Rearrange (7 - 4 - 1)*(-2830 + 2830 - 3381*j) to b + u*j and give u.
-6762
Rearrange (-13*r**3 + 6*r**2 + 13*r**2 + 15*r**3)*(-10*r + 4*r - 4*r) to i*r**2 + k*r**3 + c + v*r**4 + z*r and give v.
-20
Express 553*o - 9 + 21 - 7 - 11 in the form c + n*o and give c.
-6
Express -9*z**2 + 14 + 24*z + z**4 - 25*z + 12*z**3 + z**4 - 12 as t*z**4 + c + b*z**3 + i*z**2 + x*z and give c.
2
Express -2*k + 0 - 2 - 2 + 5868*k**2 - 5871*k**2 in the form v + u*k**2 + l*k and give l.
-2
Rearrange (d + 2*d**4 - 2*d**4 - 2 - d**4)*(-15615 + 9832 - 335 - 40782) to i + f*d**3 + k*d**2 + y*d**4 + j*d and give j.
-46900
Express -3*m - 3*m - 117 + 3*m + 30 in the form j*m + d and give j.
-3
Rearrange 33695 - 16848 - 16847 + 714*u to h + p*u and give p.
714
Express -85315515 + 105*w**2 + 85315515 - 27*w as v*w + b + f*w**2 and give v.
-27
Express ((3*n + n - 6*n)*(5 - 5 - 1) + (4*n - 2*n - 7*n)*(0 - 7 + 20))*(4*n**2 + 5 - 4*n**2 - 3*n**2) in the form o + t*n**2 + f*n**3 + x*n and give x.
-315
Express -376*y**2 - 99*y**3 + 0*y**4 - 926*y**2 + y**4 + 93*y**3 in the form h*y**4 + a*y + p*y**2 + x + f*y**3 and give f.
-6
Rearrange -192*b**2 + 11 - 145*b**3 + 147*b**3 + 106*b**2 - 101*b**2 to l*b**3 + x*b + d*b**2 + f and give f.
11
Express 1565*s**3 - 3*s - 3123*s**3 + s**2 - 79 - 2*s**2 + 19 + 1556*s**3 in the form k*s + u*s**3 + z*s**2 + j and give k.
-3
Express 0*b**3 + b**3 - 2*b + 115 + 4*b**2 + 0*b - 151*b**4 - 113 in the form z + y*b**2 + k*b + h*b**3 + n*b**4 and give n.
-151
Express -m + 4*m - 6*m + (m - m + m)*(1084 - 630 + 1384) as o*m + w and give o.
1835
Rearrange (-13*t - 34*t - 30*t)*(2 - 3 - 3)*(2 - 6 + 5) to k + j*t and give j.
308
Express 9011*w + 1892*w - 4776*w + 12314*w + 9848*w in the form t + n*w and give n.
28289
Rearrange (27*i - 154*i - 472*i)*(-4 + 0 + 3 + (1 - 2 + 0)*(4 + 0 - 5) + (0 + 3 - 1)*(-5 + 3 + 1) - 3 + 1 + 3) to the form b + c*i and give c.
599
Rearrange -250*d**2 - 3*d**3 + 0*d**3 - 248*d**2 + 6 + 750*d**2 - 3*d - 254*d**2 to the form r + k*d**2 + s*d**3 + w*d and give w.
-3
Express -4 + 4 - 2 + 2*o**2 + (277*o + 758*o + 269*o)*(4*o - 2*o - 6*o) in the form y*o + l + t*o**2 and give t.
-5214
Express (-2 - 1 + 2)*(0*x - 2*x + x) + (0 + 3 - 5)*(43*x + 98 - 98) - 3*x - 1 + 1 as w*x + f and give w.
-88
Express -4*s**3 + 8*s**3 - s**3 - 8*s**4 - 138*s**2 - 5*s**3 + 5*s**4 as h*s**3 + x*s**4 + j*s + q*s**2 + o and give h.
-2
Rearrange -17 + 3 + 4 + 3 + 6 - 1083*o**2 to s + t*o + p*o**2 and give s.
-1
Rearrange (1 - 3 + 3)*(1005 - 998 - 1526 - 1114)*((2 + 3 - 2)*(2 + 2*g - 2) + 18 - 7*g - 18) to q + f*g and give f.
2633
Rearrange (1209*w**3 - 1973*w**3 - 254*w**3 - 3097*w**3)*(w + 9*w - w) to n*w**2 + z*w**3 + g*w + y + s*w**4 and give s.
-37035
Express -19*p - 2*p**2 - 48*p + 3*p**2 + 2367 - 2345 - 2*p**2 as o*p + l*p**2 + s and give s.
22
Express 1767 - 1764 - 213*p**2 - 47*p**3 + 45*p**3 - 4*p in the form i + z*p**2 + q*p**3 + u*p and give u.
-4
Rearrange -2*w**3 + 3*w**2 - 25391*w + 2 - 4*w**4 + 332*w**4 + 25391*w to c*w + d*w**3 + v + t*w**4 + h*w**2 and give h.
3
Rearrange 6 + 5 + 38 + 366*q**2 - 48 to x*q**2 + v*q + b and give b.
1
Rearrange (-5*p + 2*p - p)*(2 + 0 - 5 - 1 + 0 + 0 + 1 + 1 + 5 + (1 + 1 + 1)*(2 + 2 + 2)) to b + d*p and give d.
-84
Rearrange (24 - 2 + 6)*(136*w + 1658*w + 139*w) to h*w + s and give h.
54124
Rearrange (2 - 4 + 1)*(-27349*k**2 - 27324*k**2 + 54641*k**2 - 4*k**3 - k + 3) to v*k**2 + f*k + o + t*k**3 and give t.
4
Express 271*f - f**4 + 190*f**2 - 188*f**2 + 9 - 270*f + 9*f**3 in the form q*f**4 + s*f + g*f**2 + d + c*f**3 and give d.
9
Express (-154 + 69 - 348)*(-36 + y**3 + 64 - 2*y - 40 - 2*y**2) as f*y**2 + j*y**3 + i*y + s and give f.
866
Rearrange 21 + 1103*c + 0*c**2 - 28*c**3 + 18*c**3 - 1103*c - 2*c**2 to the form z + u*c + s*c**2 + t*c**3 and give t.
-10
Express 27*r**2 - 3 - 3*r**4 - 2 + 104*r**3 - 22*r**2 - 6*r**2 as o*r + c*r**4 + k*r**3 + q + u*r**2 and give q.
-5
Express (h**2 - h + 5 - 4 - 4 + (0 + 0 - 2*h)*(8*h + 9*h - 3*h))*(13*h**2 - 25*h**2 + 45*h + 11*h**2) in the form a*h**4 + v*h + z + b*h**2 + w*h**3 and give b.
-42
Express 17 - 41930*p**3 - 2*p + 24*p**2 + 41934*p**3 - 13*p**2 in the form g*p + n + u*p**3 + t*p**2 and give n.
17
Rearrange (4 - 2 - 4 + (-14 + 102 + 10)*(6 - 3 - 1) - 3 - 3 - 1)*(-2*i + 0*i + 0*i) to d*i + p and give d.
-374
Rearrange 136 + 8*o**3 - 2*o**3 - 21*o**3 - 135 - 285*o**4 to the form j*o + k*o**4 + m + i*o**2 + r*o**3 and give r.
-15
Express (-11568*i - 65 - 26 - 25 + 116)*(-4*i**2 + 2*i**2 - 2*i**2) as k + s*i**3 + f*i + l*i**2 and give s.
46272
Express -1365 + 685 + 681 + 185*v + 48*v + 2*v**2 in the form z + l*v**2 + i*v and give i.
233
Express -4*d**3 + 511*d**4 + 2*d**2 + 2 + 4*d**3 - 41*d**4 - d as p*d**2 + j*d + s*d**3 + o*d**4 + t and give p.
2
Rearrange (2 - 1 + 0)*(0*q + 130117646*q**3 - 130109125*q**3 + 0*q) to the form f*q**3 + m + n*q**2 + s*q and give f.
8521
Express (4 + 5 - 1)*(-3 + 4 + 0)*(0 - 6 + 2)*(-2*g + 0*g - 2*g)*(3 + 0 + 1) as u*g + j and give j.
0
Express 3027*l**2 + 2*l - 2423*l**2 - 6*l + 2*l in the form p*l + d*l**2 + b and give b.
0
Express (10068*b - 5662*b - 5272*b)*(-1 - 3 + 2)*(-3 + 4 - 2) - 5*b - 14 + 14 in the form r + a*b and give r.
0
Rearrange -q**2 - q**2 + 1 - 2 + (13 + 5*q - 13)*(2 - q - 2) - 12*q**2 - 12*q**2 - 6*q**2 to the form k*q**2 + i*q + p and give k.
-37
Rearrange 11*b**2 + b**3 + 11*b + 64 + 0*b**3 - 3*b**3 - 3*b**4 - 62 + 2*b**4 to the form t*b**2 + f*b + z*b**4 + m*b**3 + k and give k.
2
Express 2 - 38*b**2 + 12*b**2 - 693*b - 735*b + 1452*b in the form v*b**2 + o + n*b and give o.
2
Rearrange ((347 + 111 + 904)*(5*s - s - 2*s) - 5 + 5 + 2*s)*(5*s + 0*s - 3*s) to a*s**2 + k*s + p and give a | {
"pile_set_name": "DM Mathematics"
} |
03 AM?
7:22 AM
How many minutes are there between 5:33 PM and 4:19 AM?
646
How many minutes are there between 9:41 AM and 10:25 AM?
44
What is 176 minutes after 11:43 AM?
2:39 PM
What is 532 minutes before 4:10 PM?
7:18 AM
What is 135 minutes before 6:36 AM?
4:21 AM
What is 702 minutes after 8:50 AM?
8:32 PM
How many minutes are there between 12:44 PM and 11:48 PM?
664
How many minutes are there between 2:29 AM and 3:46 AM?
77
What is 678 minutes after 4:03 PM?
3:21 AM
What is 655 minutes after 9:43 AM?
8:38 PM
How many minutes are there between 9:52 PM and 4:40 AM?
408
What is 254 minutes before 3:54 AM?
11:40 PM
What is 691 minutes before 8:50 PM?
9:19 AM
What is 583 minutes before 9:36 PM?
11:53 AM
How many minutes are there between 2:14 AM and 1:17 PM?
663
What is 62 minutes before 8:16 PM?
7:14 PM
How many minutes are there between 4:21 AM and 12:09 PM?
468
What is 76 minutes after 4:06 PM?
5:22 PM
What is 485 minutes before 9:46 AM?
1:41 AM
What is 418 minutes before 12:53 AM?
5:55 PM
What is 332 minutes before 4:33 AM?
11:01 PM
What is 677 minutes after 11:46 PM?
11:03 AM
How many minutes are there between 4:54 PM and 2:42 AM?
588
How many minutes are there between 2:15 PM and 11:28 PM?
553
How many minutes are there between 11:58 AM and 11:37 PM?
699
How many minutes are there between 11:29 AM and 8:14 PM?
525
How many minutes are there between 2:42 PM and 2:21 AM?
699
How many minutes are there between 4:20 PM and 6:20 PM?
120
How many minutes are there between 11:37 PM and 6:05 AM?
388
What is 467 minutes after 2:04 PM?
9:51 PM
What is 609 minutes before 8:24 AM?
10:15 PM
How many minutes are there between 12:26 PM and 6:10 PM?
344
How many minutes are there between 10:55 AM and 11:58 AM?
63
How many minutes are there between 8:19 AM and 10:51 AM?
152
How many minutes are there between 3:24 PM and 7:19 PM?
235
How many minutes are there between 4:39 AM and 11:37 AM?
418
What is 652 minutes after 8:06 PM?
6:58 AM
What is 128 minutes before 5:13 PM?
3:05 PM
What is 309 minutes before 2:13 PM?
9:04 AM
What is 97 minutes after 5:22 PM?
6:59 PM
How many minutes are there between 5:04 PM and 1:52 AM?
528
How many minutes are there between 12:55 PM and 9:53 PM?
538
How many minutes are there between 10:36 PM and 3:22 AM?
286
What is 546 minutes after 2:35 PM?
11:41 PM
What is 296 minutes before 5:17 PM?
12:21 PM
How many minutes are there between 5:47 PM and 5:16 AM?
689
How many minutes are there between 5:33 PM and 3:22 AM?
589
What is 432 minutes before 10:25 PM?
3:13 PM
What is 636 minutes after 11:55 PM?
10:31 AM
How many minutes are there between 1:45 AM and 3:26 AM?
101
How many minutes are there between 7:23 PM and 11:34 PM?
251
What is 36 minutes after 6:56 AM?
7:32 AM
How many minutes are there between 3:34 PM and 7:11 PM?
217
What is 688 minutes before 12:19 AM?
12:51 PM
What is 667 minutes after 8:15 AM?
7:22 PM
How many minutes are there between 5:12 PM and 5:54 PM?
42
What is 181 minutes after 11:49 PM?
2:50 AM
How many minutes are there between 8:37 PM and 2:02 AM?
325
What is 130 minutes after 3:46 PM?
5:56 PM
How many minutes are there between 12:54 AM and 1:54 AM?
60
How many minutes are there between 6:04 PM and 8:04 PM?
120
How many minutes are there between 3:46 AM and 8:10 AM?
264
How many minutes are there between 3:39 PM and 11:27 PM?
468
What is 237 minutes after 8:42 PM?
12:39 AM
How many minutes are there between 8:32 PM and 11:00 PM?
148
How many minutes are there between 3:11 PM and 3:46 PM?
35
How many minutes are there between 1:05 AM and 3:26 AM?
141
How many minutes are there between 8:48 PM and 7:50 AM?
662
What is 41 minutes after 3:33 PM?
4:14 PM
What is 217 minutes after 10:31 AM?
2:08 PM
How many minutes are there between 2:39 AM and 1:48 PM?
669
How many minutes are there between 4:23 PM and 8:21 PM?
238
How many minutes are there between 9:08 AM and 1:47 PM?
279
How many minutes are there between 4:12 PM and 9:17 PM?
305
How many minutes are there between 11:51 AM and 1:28 PM?
97
What is 107 minutes before 1:55 AM?
12:08 AM
What is 419 minutes after 12:16 PM?
7:15 PM
What is 172 minutes before 12:57 AM?
10:05 PM
What is 283 minutes after 2:15 PM?
6:58 PM
How many minutes are there between 10:33 AM and 12:57 PM?
144
What is 418 minutes after 10:41 AM?
5:39 PM
What is 38 minutes after 6:59 AM?
7:37 AM
What is 313 minutes after 10:41 PM?
3:54 AM
What is 52 minutes after 11:58 AM?
12:50 PM
How many minutes are there between 4:55 AM and 2:51 PM?
596
What is 599 minutes before 6:38 PM?
8:39 AM
What is 318 minutes after 9:35 AM?
2:53 PM
What is 458 minutes before 6:57 PM?
11:19 AM
How many minutes are there between 11:42 AM and 9:53 PM?
611
What is 167 minutes before 4:50 PM?
2:03 PM
What is 111 minutes after 11:28 AM?
1:19 PM
How many minutes are there between 7:55 PM and 12:15 AM?
260
What is 517 minutes before 11:28 AM?
2:51 AM
What is 144 minutes after 12:34 PM?
2:58 PM
How many minutes are there between 8:39 AM and 6:26 PM?
587
What is 148 minutes after 3:12 PM?
5:40 PM
How many minutes are there between 5:42 AM and 9:55 AM?
253
How many minutes are there between 4:57 AM and 4:30 PM?
693
What is 582 minutes after 10:29 AM?
8:11 PM
How many minutes are there between 5:07 PM and 9:58 PM?
291
What is 588 minutes after 9:37 AM?
7:25 PM
What is 322 minutes after 12:18 AM?
5:40 AM
What is 408 minutes before 8:22 AM?
1:34 AM
What is 472 minutes after 9:57 PM?
5:49 AM
How many minutes are there between 7:23 AM and 8:51 AM?
88
What is 2 minutes after 12:58 PM?
1:00 PM
What is 703 minutes before 7:47 PM?
8:04 AM
What is 296 minutes after 9:20 PM?
2:16 AM
What is 454 minutes before 11:23 PM?
3:49 PM
How many minutes are there between 9:09 AM and 12:14 PM?
185
What is 101 minutes before 2:57 AM?
1:16 AM
What is 589 minutes before 7:23 AM?
9:34 PM
How many minutes are there between 2:03 PM and 9:50 PM?
467
What is 185 minutes after 3:26 AM?
6:31 AM
What is 235 minutes after 3:40 AM?
7:35 AM
What is 51 minutes after 9:35 PM?
10:26 PM
What is 421 minutes after 5:17 AM?
12:18 PM
What is 51 minutes before 10:17 PM?
9:26 PM
How many minutes are there between 12:42 PM and 9:40 PM?
538
What is 605 minutes before 5:05 AM?
7:00 PM
How many minutes are there between 12:23 PM and 4:14 PM?
231
How many minutes are there between 6:41 AM and 8:41 AM?
120
What is 202 minutes after 4:58 PM?
8:20 PM
What is 620 minutes after 2:49 PM?
1:09 AM
How many minutes are there between 11:33 PM and 12:40 AM?
67
How many minutes are there between 8:55 AM and 12:50 PM?
235
How many minutes are there between 2:29 PM and 7:39 PM?
310
What is 238 minutes after 1:24 AM?
5:22 AM
How many minutes are there between 7:33 AM and 3:09 PM?
456
How many minutes are there between 12:43 PM and 7:46 PM?
423
What is 305 minutes after 11:05 AM?
4:10 PM
How many minutes are there between 3:32 PM and 5:33 PM?
121
What is 576 minutes before 4:05 PM?
6:29 AM
How many minutes are there between 4:45 AM and 12:23 PM?
458
How many minutes are there between 11:32 PM and 10:24 AM?
652
What is 625 minutes before 2:38 AM?
4:13 PM
What is 207 minutes before 12:51 PM?
9:24 AM
How many minutes are there between 8:24 PM and 10:32 PM?
128
What is 466 minutes before 9:24 AM?
1:38 AM
How many minutes are there between 2:34 AM and 3:12 AM?
38
How many minutes are there between 9:37 PM and 4:23 AM?
406
How many minutes are there between 11:45 AM and 10:45 PM?
660
How many minutes are there between 2:27 AM and 1:57 PM?
690
How many minutes are there between 3:47 AM and 11:10 AM?
443
How many minutes are there between 1:37 AM and 2:54 AM?
77
How many minutes are there between 8:15 PM and 8:01 AM?
706
What is 496 minutes after 6:37 AM?
2:53 PM
What is 54 minutes after 5:29 AM?
6:23 AM
How many minutes are there between 8:00 AM and 2:31 PM?
391
How many minutes are there between 1:58 AM and 4:51 AM?
173
What is 38 minutes after 6:25 PM?
7:03 PM
What is 41 minutes after 6:42 AM?
7:23 AM
How many minutes are there between 3:04 AM and 7:59 AM?
295
What is 597 minutes after 7:35 AM?
5:32 PM
What is 400 minutes before 8:15 PM?
1:35 PM
How many minutes are there between 1:02 AM and 12:22 PM?
680
How many minutes are there between 4:48 PM and 5:59 PM?
71
What is 402 minutes before 7:47 P | {
"pile_set_name": "DM Mathematics"
} |
se 5*p - s = p. Calculate the smallest common multiple of p and 14.
154
Let q = -3 + 8. What is the smallest common multiple of q and 9?
45
Let j = 152 - 119. Calculate the lowest common multiple of 33 and j.
33
Let b = 27/73829 - -1972784493/590632. Let a = b + -3345. Find the common denominator of -69/4 and a.
8
Let o = 2/33899 + 3288131/1220364. What is the common denominator of -65/4 and o?
36
Let o = 2/825 - -2839/1100. Let n be (197674/(-8))/(-1 + -3). Let k = n - 6171. What is the common denominator of k and o?
48
Let m(t) = t + 19. Calculate the lowest common multiple of m(-3) and 12.
48
Let t = 8537/5 - 1700. Calculate the common denominator of 22 and t.
5
Let s(d) = -d**2 - 2*d - 5. Let h be s(6). What is the common denominator of -25/6 and 6/10*h/12?
60
Suppose 5*m = -k + 135, 5*m - 95 = 3*k - 400. Suppose -2*g - 4*h = k - 398, 4*g = -h + 548. Let j = g + -2149/16. Find the common denominator of -95/12 and j.
48
Suppose -2*f = -6*f + 56. Let o(r) = 15 - 13 + 17*r**2 + 8 + 0*r**3 - r**3. Calculate the smallest common multiple of o(17) and f.
70
Let x = -2 - -5. Find the common denominator of 273/(-9)*x/(-22) and 85/4.
44
Let j = 13 + 23. Find the common denominator of (154/(-6))/((-120)/36) and -1 + -1*(-393)/j.
60
Let z(a) = -a**2 + 9*a - 16. What is the smallest common multiple of z(4) and 12?
12
Let w be 8*1 - (2 - 3). Let f be (w/9)/(1/(-3)). Calculate the common denominator of -73/3 and 6/f - (-34)/14.
21
Let a = 63413/10 + -6336. Let w = -10/3 - -37/12. Calculate the common denominator of w and a.
20
Suppose 50 = x + 4*x. Let b = 1 - -3. What is the lowest common multiple of x and b?
20
Let l = -47429/10 - -4747. What is the common denominator of l and 64/3?
30
Let t(s) = -5*s + s - 4 + 3*s. Let j be t(-2). Calculate the smallest common multiple of 9 and (5 - j/2) + -2.
36
Suppose 0 = m + 6. Let b be (-122)/m - 4/(-6). Suppose 0 = -3*g - 12, -j + 2*g = -3*g - b. Calculate the smallest common multiple of j and 4.
4
Let c(m) = 3*m**2 - 3*m + 3. Calculate the least common multiple of 11 and c(2).
99
Let t = -1/454 - -18843/908. What is the common denominator of 102/90*5 + 2/2 and t?
12
Let b(f) = f**3 - 3*f**2 - 3*f + 2. Let w(v) = v - 1. Calculate the lowest common multiple of b(4) and w(13).
12
Let x = 20 - 18. Calculate the lowest common multiple of x and 14.
14
What is the lowest common multiple of 1*(-1 - (1 + -7)) and 2?
10
Suppose -2*b = -2*f - 20, 5*b - b - 36 = 2*f. Suppose b*h = 3*h + 10. What is the smallest common multiple of 12 and (-3 + h)*-12 - 0?
12
What is the lowest common multiple of (-1)/(-1) - 7/(21/(-69)) and 33?
264
What is the common denominator of (-142)/(-4)*5/10 and -31?
4
Let k = -37 + 22. What is the common denominator of ((-151)/(-2))/(k/5) and -37/16?
48
Let q(r) = -r**3 + 5*r**2 - r - 4. Let a be q(4). Suppose 3*h - 8 = -2*f, 3*h + a - 19 = -5*f. What is the lowest common multiple of h and 4?
4
Let n = 1921/6 - 312. Let w = -2537/130 - -307/13. Calculate the common denominator of w and n.
30
Let z = -2006 + 7953/4. Let a = -22007/18 + 1228. What is the common denominator of z and a?
36
Let w = 5/249 - -9661/2490. Let h be (3 + (-78)/10)*-65. Find the common denominator of h/(-18) - (3 - 2) and w.
30
Calculate the common denominator of (-1)/8*-2 - 18 and (-657)/(-180) + (-1)/((-10)/6).
4
Let j = 75 - 11. Calculate the common denominator of -2 - (4/j + -1) and -61/14.
112
Let u = 7 - -3. Suppose 3*q - u + 4 = 0. What is the lowest common multiple of 7 and q?
14
Suppose 4*o = o + 27. Let g(i) = -i**2 + 8*i + 12. Let d be g(o). Suppose r + d*h - 9 = -0*r, -5*r - 5*h = -35. Find the common denominator of r and 39/5.
5
What is the common denominator of 51/14 and 63/(-120)*(-24)/(-4)?
140
Let t = -11 - -9. Let o be (t + 2*-8)*1. Find the common denominator of (-146)/(-24) + o/(-24) and -125/6.
6
Let x be (9/21)/((-1)/(-7)). Suppose -x*b = -b - 36. Calculate the smallest common multiple of b and 16.
144
What is the lowest common multiple of 22 and (-111)/(-8) + 7/56?
154
Let u = 4 - 0. Suppose u*s = 2 + 6. Calculate the smallest common multiple of s and (4/6)/2*3.
2
Let w(v) = -7*v - 15. Calculate the least common multiple of w(-6) and 33.
297
Let f(u) = 2*u**2 - 2*u + 2. Let l be f(2). Calculate the common denominator of -91/10 and l/27 + 143/18.
30
What is the common denominator of ((-2)/(-70))/(8/(-20)) and -83/2?
14
Let q = 11/145 + -5119/580. What is the common denominator of 1/20 and q?
20
Let u(b) = -b**2 + 9*b + 5. Calculate the common denominator of 11/8 and u(11).
8
Let w = -1343/2 + 624. Let m = 349/7 - 271/14. Calculate the common denominator of w and m.
2
Let b = 0 - -3. Let n be 141*b/9*1. Calculate the least common multiple of 10 and n/5 - 6/(-10).
10
Let s(n) = 0 + 1 + 1 + 5*n - n. Suppose 0 = 2*z + 4*a + 6 + 10, 0 = -2*z - 5*a - 21. What is the least common multiple of s(z) and 16?
80
Let r = -7 - -5. Find the common denominator of 99/8 and (-3 - -2)*r/14.
56
Let q(c) = -c**2 - 23*c + 2. Calculate the least common multiple of 24 and q(-21).
264
Suppose 0 = d - 6*d - 4*m + 36, 5*m - 40 = -5*d. What is the common denominator of 0 + 1 - (-126)/d and 0 + (-128)/6 + -8 + 5?
6
Let n = -373/92 - 25/69. Find the common denominator of 22/9 and n.
36
Calculate the common denominator of 19/2 and 159/27*(-2 + 0 - -1).
18
Calculate the common denominator of ((-2)/12)/((-2)/(-212)) and (-294)/48*3/3.
24
Suppose 73 + 26 = 3*t. Calculate the lowest common multiple of t and 15.
165
Let f = -397 + -21790. Let p be 79901*3/(-108)*10. Let x = f - p. What is the common denominator of x and 11/8?
72
Let p = -18696863/24 - -778918. Let f = -95441/120 + p. Let c = -923 - f. What is the common denominator of c and -3/2?
10
Let n = -3887 + 31157/8. Find the common denominator of -45/4 and n.
8
Let s = -72 - -87. Calculate the smallest common multiple of 21 and s.
105
Let k = 3814 - 23009/6. Calculate the common denominator of k and (-178)/40 - 2*3/6.
60
Let g(f) = f**2 - 2. Let j be (-3 - 0) + 5 + -2. Suppose 2*u - 3*u + 11 = j. Calculate the least common multiple of g(-2) and u.
22
Let c = -26431/8 - -3298. Let r = -207/5 + -21/10. Calculate the common denominator of r and c.
8
Let a = -7 - -12. Suppose 0 = -2*z + 73 + a. Find the common denominator of -41/2 and z.
2
Suppose -81 = -5*u + 19. Suppose -1 - 11 = 2*k. Calculate the lowest common multiple of u and (20/3)/((-2)/k).
20
Suppose 5 = -3*p + 5*s - s, -2*p + 3*s - 3 = 0. Suppose -6 = -d - 0. What is the least common multiple of 4/(-2)*p/d and 1?
1
Let j(o) = -8*o - 27. Calculate the smallest common multiple of j(-9) and 10.
90
Let u = 1473 + -5947/4. Let l = 2/7571 + 355813/90852. What is the common denominator of l and u?
12
Let v = -1 + 6. What is the smallest common multiple of 7 and v?
35
Suppose -2*y = b + 2*b - 12, 2*y - 10 = -2*b. What is the smallest common multiple of 28 and y?
84
Suppose -h - 10 = -6*h. Let n = h - -1. Suppose -q - 5*l - 11 = n, l = q - 10. What is the least common multiple of q and 16?
48
Find the common denominator of -107/20 and (5/9)/(32/(-48)).
60
Suppose -2 = a + 4*b + 2, -b + 41 = -5*a. Let p = -4 - a. Calculate the least common multiple of p and 18.
36
Let v = 14/43 + 875/86. What is the common denominator of v and 0 - (-339)/18 - 1?
6
Suppose 11 = -5*a - 19. Let s(k) = -5*k. Calculate the lowest common multiple of s(-4) and 2/6 + (-10)/a.
20
What is the lowest common multiple of 20 and (-36)/(-10) - (-14)/35?
20
Suppose -3*n + 1 = -80. Let g be 66/n*(-53)/(-30). Let h = 40/27 + g. Calculate the common denominator of 7/12 and h.
60
Let w be 3*(1 - -1)/(-6). Let l = 0 - w. Suppose 3*p + 2*k - 11 = 0, 2*k - 5 = 33*p - 34*p. Calculate the least common multiple of l and p.
3
What is the lowest common multiple of ((-27)/12)/(6/(-16)) and 8?
24
Find the common denominator of 38/5 + (-5)/(-25) and -17/2.
10
Let p(m) = m**2 + 9*m + 16. Calculate the least common multiple of 16 and p(-8).
16
What is the common denominator of ((-490)/(-56))/(0 - 33/4) and -107/12?
132
Let t = -4153/6003 + -1/261. What is the common denominator of t and 49/11?
253
Let h = -1045/14 + 73. Calculate the common denominator of h and 73/3.
42
Let i be 1 + -1 + (-4)/(-2). Suppose 0*j = -i*j + 20. What is the smallest common multiple of j and 1?
10
Let a b | {
"pile_set_name": "DM Mathematics"
} |
et o = n + -43. Does 17 divide 951/o + (-2)/9?
False
Let w be 4/6 + 176/(-12) + 0. Does 14 divide (-15 - -9)/(2/w)?
True
Let h(r) = 4*r + 24. Let z be h(-5). Does 36 divide ((-126)/(-8))/(z*12/128)?
False
Suppose -a - 5*x - 20 = -4*a, -4 = -5*a + x. Suppose -2*j + 13 - 3 = a, p + 4*j = 23. Suppose b - 2*m - 36 = 0, p*m = 3*b + 30 - 129. Is 10 a factor of b?
True
Suppose 2*n - 678 = -2*a, -3*a = -2*a - 3. Is n a multiple of 12?
True
Let y = -75 - -135. Let g be 2*21*y/(-70). Is (-567)/g + 1/4 a multiple of 13?
False
Let d(f) = f**2 - 2*f + 12. Let y(b) = b**2 - 11*b + 8. Let o be y(12). Let n be (45/o)/(6/16). Is 5 a factor of d(n)?
False
Let r = -634 - -950. Does 79 divide r?
True
Let i(s) = -s**2 - 21*s - 15. Is 7 a factor of i(-11)?
False
Let x(w) = 16*w + 18. Let i be -6*(-1 + (-7)/(-6) + -1). Does 14 divide x(i)?
True
Let f(q) = 4*q + 37. Let t be f(-10). Let o(w) = -15*w + 11. Is 28 a factor of o(t)?
True
Suppose -2*d = -k + 296, 168*k - 167*k - 3*d - 291 = 0. Is k a multiple of 102?
True
Suppose -7*w - 2*z + 58 = -6*w, -3*z + 255 = 5*w. Let f be (45/12)/((-6)/w). Let m = f + 86. Does 25 divide m?
False
Suppose -5*z = z - 6. Does 37 divide z*143 - (4 - 2)?
False
Let z be (-506)/6 + (-2)/3 + 0. Let t(j) = -8*j**2 - 2*j + 1. Let m be t(1). Let a = m - z. Is 23 a factor of a?
False
Let s be (-4)/(-8)*4 - 6/(-2). Suppose r - 293 = -d, 0*d = d - s*r - 317. Does 33 divide d?
True
Let v = 10 + -84. Let x = 112 + v. Is 28 a factor of x?
False
Suppose 5*v - 893 = 4*n, 2*n - 5*n + 525 = 3*v. Suppose -2*c + v = -2*m + 5*m, -5*m + 3*c + 276 = 0. Does 19 divide m?
True
Let x be (0/(-1))/(6/(-3)). Suppose b - h - 8 = 0, 4*h + x*h = 3*b - 22. Does 6 divide b?
False
Let p = -123 - -396. Is p a multiple of 39?
True
Let g(s) = -s - 1. Let i be g(3). Let l = -13 + i. Let h = l + 28. Does 5 divide h?
False
Suppose 134 = 3*d + 4*u, -5*d + 110 = 4*u - 108. Let q = d + -30. Is q a multiple of 6?
True
Suppose -36 = 4*t - s - 3, 5*t - s = -42. Let z be t*1/(3/(-2)). Is 26 a factor of z/39 - (-1103)/13?
False
Is 34 a factor of 5709/4 + 6*10/80?
True
Let x = 801 + -596. Does 18 divide x?
False
Is 9 a factor of 0 + 596/14 + (-234)/(-546)?
False
Let z = 147 + -145. Does 8 divide (z/(28/(-21)))/((-3)/26)?
False
Suppose c - 5*k = 43, -3*c - 3*k + 39 = -0*k. Let s(d) = 3*d**2 + 12*d - 4. Let n be s(-6). Suppose c = h - n. Does 25 divide h?
True
Let b = 8 - 6. Suppose -b*l = -4*l + 98. Is 21 a factor of l?
False
Let x(t) = 2*t**3 + 2*t**2 - t + 8. Let y(i) = -3*i**3 - 3*i**2 + 2*i - 8. Let j(z) = 4*x(z) + 3*y(z). Does 44 divide j(-6)?
True
Suppose 4*c - 20 = -0*c. Suppose 0 = -5*o + l + 159, -c*o - 4*l = -165 + 26. Does 24 divide (o/(-4))/(10/(-80))?
False
Let k(q) = -2*q**3 - 5*q**2 + 3. Let y be k(4). Let s = y + -515. Is 15 a factor of s/(-21) + 4/(-14)?
False
Let o(w) = w**3 + 30*w**2 - 51*w - 24. Is 40 a factor of o(-31)?
False
Suppose -5*f + 4*g + 323 = 81, 0 = -f - 4*g + 58. Is 10 a factor of f?
True
Suppose -9*u = -506 + 101. Does 5 divide u?
True
Suppose 28348 = 11*t + 27*t. Is 18 a factor of t?
False
Let f(k) = 5*k + 2. Let j be f(-1). Let i be 8/j*(-189)/36. Suppose -i*m + 260 = -9*m. Does 13 divide m?
True
Let y be (-4 - (-32)/4) + -11. Let l(q) = -q**3 - 4*q**2 + 8*q - 4. Let p be l(y). Let i = p + -7. Does 12 divide i?
False
Is (21 + -16 + 1 + -4)*550 a multiple of 11?
True
Let u = 623 + -29. Is u a multiple of 22?
True
Suppose 2*h = -0*h + 496. Suppose 2*m + 88 = -h. Is 2/(-4) - m/16 a multiple of 4?
False
Let v = 1457 + 271. Does 6 divide v?
True
Suppose -3*a = -3*n + 18, 3*a + 36 = 8*n - 11*n. Suppose -4*o + c = -27, -5*c - 9 = -2*o + 18. Is o*(2 + a/6) a multiple of 3?
True
Suppose 15 = t + 3*g, 0*t - 4*g + 24 = 2*t. Suppose 4*q - 2*j + t = 4, 8 = -q + 2*j. Is 20 a factor of 2 + (40 - q) - 0?
True
Let h(w) = w**2 - w - 81. Let i be h(0). Let c = -29 - i. Is 10 a factor of c?
False
Suppose 12*z - 16 = 16*z. Let j be (z/(-8))/((-1)/24). Is 6 a factor of 0 + 0/4 - j?
True
Suppose 30*q - 2458 = 842. Is 22 a factor of q?
True
Suppose -4352 = -11*p - 6*p. Is 31 a factor of p?
False
Is 3 a factor of (-2)/(4 - 1/(116/472))?
False
Suppose m + 3*h - 243 = -87, m - 2*h - 171 = 0. Suppose -5*l = -5, 4*l = -5*q - l + m. Is (q/6)/((-3)/(-9)) a multiple of 13?
False
Suppose -606 - 42 = -3*m. Let w = m + -125. Is w a multiple of 13?
True
Suppose -75 = -18*d + 69. Suppose -2*n - d = -2*g, -4*g - n + 25 = 9. Does 4 divide g?
True
Suppose -4*j = -540 - 6972. Is 9 a factor of j?
False
Let u(p) = -p**2 + p + 1 + 14*p**2 - 2*p**2. Let m be (-6)/12 - 9/(-6). Is u(m) a multiple of 13?
True
Let j be 3/(-18) + (-207)/54. Let n = 0 - j. Let r = 8 + n. Is r a multiple of 12?
True
Suppose 3*t + u - 322 = 0, -4*t + u = 2*u - 430. Suppose -3*f + 504 = t. Let s = f + -56. Is s a multiple of 25?
False
Let r(p) = 36*p**3 + p**2 + 2*p. Let t be r(-2). Let c = t + 476. Suppose -3*u + 7*u = c. Does 22 divide u?
False
Let s = -1594 - -2286. Is s a multiple of 23?
False
Suppose -28 = 4*l - 6*z + 2*z, -5*l = 4*z + 17. Let i(c) = c**2 - 3*c - 18. Is i(l) a multiple of 11?
True
Let g(l) = 76*l**2 + 4*l + 10. Let r be g(-2). Let x = r - 187. Does 17 divide x?
True
Suppose 55 = 5*m - 3*c, 0 = -m - 4*c + 3 + 8. Suppose 0 = -7*s + m*s - 448. Is 17 a factor of s?
False
Let y(r) = r**2 - 3*r + 4. Let o be y(3). Suppose -5*d = -o*d + 9. Let w = d + 30. Does 7 divide w?
True
Let t = 3 - 0. Suppose 8*i = 2*i. Suppose t*o + o - 206 = 3*z, 3*o + 3*z - 165 = i. Does 22 divide o?
False
Let s = -8 + 11. Suppose 3*j - s*g - 7 = 2*g, -4*g - 16 = -5*j. Suppose -4*n = -3*u + 68, -j*n + 8 = 2*u - 4. Is 8 a factor of u?
True
Suppose 0 = -4*l + 8*l + 24. Is (-77 - l)/(-2 + 1) a multiple of 17?
False
Let z(g) = 7*g**2 - 7*g + 11. Let i be z(5). Let u = 309 - i. Is u a multiple of 25?
False
Suppose 15 = -3*z + 8*z. Suppose z*m + i - 24 = -2*i, -4 = i. Is m a multiple of 9?
False
Suppose d + 2*d = -5*y + 140, 0 = 3*d. Let r = -65 + y. Let j = r + 73. Is j a multiple of 12?
True
Let b be ((-15)/6)/((-6)/12). Suppose 3 = -z, -b*g + 119 = -2*z - z. Is 11 a factor of g?
True
Let g(v) = v**2 - 3*v - 3. Let i be (-150)/(-14) - (-10)/35. Let l = i + -6. Is 7 a factor of g(l)?
True
Suppose 8*b + 0*b = -1200. Let n = -92 - b. Does 18 divide n?
False
Suppose -34 = 5*r - 169. Does 2 divide r?
False
Let m = 11 - 11. Suppose m*o - o = -60. Does 22 divide (-1)/(-4) - (-3945)/o?
True
Let m(n) = -7 - 9 - 6 - 5*n + 15. Suppose -4*c - 17 = 11. Is 7 a factor of m(c)?
True
Let i be 46/1 - (-8)/(-2). Let u = i + 3. Is u a multiple of 15?
True
Let z(p) = -p**2 - 11*p + 2. Let j(a) = -a**3 + 5*a**2 - 4*a + 3. Let c be j(4). Suppose c*b + 40 = -b. Does 4 divide z(b)?
True
Is 26 a factor of (0 - 1) + (750 - 4) + -12?
False
Let u = 32 + -27. Suppose -23 = -2*j + 2*k - u*k, 0 = -3*j - k + 45. Does 16 divide j?
True
Let b = -416 + 641. Is b a multiple of 29?
False
Is 4/(8/206) - -3 a multiple of 53?
True
Let v(n) = -10*n + 2*n**2 - 169 - n**2 + 196. Is v(7) a multiple of 6?
True
Let j be 0 + (-2 + 1 - 75). Suppose -3*l = 5*a - 2*l - 809, 5*a = 5*l + 785. Let o = j + a. Does 19 divide o?
False
Let m(t) = -2*t**3 + 43*t**2 - 17*t + 42. Is 18 a factor of m(21)?
True
Let b(h) = h**2 - 2. Let z(f) = -2*f + 1. Let x be z(2). Let m be b(x). Suppose -d + 28 + m = 0. Is 13 a factor of d?
False
Let r = 3357 - 1369. Is r a multiple of 14?
True
Let d = 30 + -61. Let j = -7 - d. Is 11 a factor of j?
False
Suppose 186 = f - 5*h, 0 = 12*f - 11*f + 2*h - 200. Is 49 a factor of f?
True
Suppose 2*w + w = 9. Let o be 1/(20/(-16))*-5. Suppose 5*c - w*c + d - 1 = 0, o*c = -d + 7. Is 2 a factor of c?
False
Let k = 6573 - 3245. Is k a multiple of 85?
False
Let s = 3037 - 2482. Is 34 a factor of s?
False
Let s = 1467 - 942. Is 40 a factor of s?
False
Let d be 2/(-4) + 475/10. Let w = 13 + d. Does 10 divide w?
True
Let k = 50 + 1999. Is 105 a factor of k?
False
Suppose y + 10 - 71 = 0. Let j = y - 19. Is 14 a factor of j?
True
Let p(o) = -o**3 + 3*o**2 + 2*o - 2. Suppose 0 = -2*c - 2*y + 8, 4*c - y - 2 = 2*c. Let h be p(c). Let s = h + 8. Is s a multiple of 7?
True
Let f be (88 + 3 + 1)/(-1). Let m = -23 - f. Is m a multiple of 31?
False
Suppose -1910 = 5*w + 4*i, 0 = -i + 3*i + 10. Let b = 659 + w. Does 28 divide b?
False
Suppose -45*a + 42432 = -28*a. Is a a mult | {
"pile_set_name": "DM Mathematics"
} |
f picking 1 h and 2 m?
12/35
Three letters picked without replacement from {s: 2, d: 1, o: 2, q: 1, t: 2}. What is prob of picking 1 q, 1 t, and 1 s?
1/14
Calculate prob of picking 1 u and 2 z when three letters picked without replacement from {l: 3, z: 3, u: 2}.
3/28
Calculate prob of picking 2 j when two letters picked without replacement from jjjjj.
1
Two letters picked without replacement from {g: 3, z: 2}. What is prob of picking 1 z and 1 g?
3/5
Four letters picked without replacement from {j: 4, a: 14}. Give prob of picking 4 a.
1001/3060
Four letters picked without replacement from ssqnbxnsnqqstxt. Give prob of picking 2 t, 1 x, and 1 n.
2/455
Three letters picked without replacement from pfqdfdfddf. Give prob of picking 2 f and 1 q.
1/20
What is prob of picking 1 i and 1 n when two letters picked without replacement from inyyyyiiiyyyyxyx?
1/30
Three letters picked without replacement from kmyssksnns. Give prob of picking 1 y and 2 n.
1/120
Three letters picked without replacement from {y: 6, d: 2, u: 7}. What is prob of picking 1 d, 1 y, and 1 u?
12/65
Calculate prob of picking 2 o when two letters picked without replacement from voxoooxoxoowvk.
3/13
What is prob of picking 2 p when two letters picked without replacement from {i: 4, s: 1, p: 2}?
1/21
What is prob of picking 2 j and 1 m when three letters picked without replacement from {j: 2, m: 1, i: 1, f: 1}?
1/10
What is prob of picking 1 f, 2 y, and 1 i when four letters picked without replacement from {f: 1, i: 3, y: 5, q: 6, p: 2}?
3/238
Calculate prob of picking 1 c, 1 a, and 2 j when four letters picked without replacement from jjcajajcjcajjccj.
3/13
Calculate prob of picking 2 m and 2 n when four letters picked without replacement from mffmfmlfnmfmffnmmmmm.
3/323
Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {q: 4, n: 3, f: 11}.
44/153
Three letters picked without replacement from bwwwbwwwwwaaw. What is prob of picking 2 a and 1 b?
1/143
Four letters picked without replacement from ffaafdfd. Give prob of picking 1 a, 1 d, and 2 f.
12/35
Three letters picked without replacement from zzzzzzzzzqzzzzzzzz. Give prob of picking 3 z.
5/6
What is prob of picking 1 t and 1 m when two letters picked without replacement from mat?
1/3
What is prob of picking 2 t and 2 d when four letters picked without replacement from dttttdtdtttttttttdd?
455/1938
Calculate prob of picking 1 j and 1 t when two letters picked without replacement from tjbbvtxa.
1/14
Four letters picked without replacement from {m: 2, s: 6}. Give prob of picking 4 s.
3/14
Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 4, y: 2, k: 4, l: 6, t: 1}.
2/17
Calculate prob of picking 1 y, 2 r, and 1 w when four letters picked without replacement from ryywryyd.
2/35
Four letters picked without replacement from {u: 5}. Give prob of picking 4 u.
1
Three letters picked without replacement from wfwpwpphwhpww. Give prob of picking 1 f, 1 h, and 1 p.
4/143
Two letters picked without replacement from ddddddddd. What is prob of picking 2 d?
1
Three letters picked without replacement from {k: 4, h: 1, y: 11, x: 3}. Give prob of picking 2 k and 1 h.
2/323
Three letters picked without replacement from ffffzfzfzzffzzyffzzz. What is prob of picking 3 f?
2/19
What is prob of picking 2 d when two letters picked without replacement from {d: 19, e: 1}?
9/10
Two letters picked without replacement from kfbfbbbbfbbfbsbfbkff. Give prob of picking 2 b.
9/38
Two letters picked without replacement from qqccpqciqqpqicccggi. What is prob of picking 2 c?
5/57
What is prob of picking 2 w when two letters picked without replacement from llwlwllw?
3/28
Two letters picked without replacement from edeeeeeeeeeeeeedeee. What is prob of picking 2 e?
136/171
What is prob of picking 1 r and 1 v when two letters picked without replacement from uruszzvw?
1/28
What is prob of picking 1 p and 2 q when three letters picked without replacement from nnpnqnnpnppnnnqnnnnp?
1/228
Three letters picked without replacement from oomjmxmomjo. Give prob of picking 1 j, 1 x, and 1 o.
8/165
What is prob of picking 1 f and 2 k when three letters picked without replacement from {k: 6, f: 7}?
105/286
Three letters picked without replacement from {v: 8, n: 5, t: 4}. Give prob of picking 2 v and 1 t.
14/85
Calculate prob of picking 1 i and 3 y when four letters picked without replacement from yyyyiyytv.
10/63
Three letters picked without replacement from {y: 2, k: 2, q: 8, h: 2}. What is prob of picking 2 k and 1 q?
2/91
Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, r: 8}.
3/55
Four letters picked without replacement from {e: 2, g: 1, y: 1, q: 7, r: 3}. What is prob of picking 1 e, 1 y, and 2 r?
6/1001
What is prob of picking 2 j and 2 c when four letters picked without replacement from ujjujucuc?
1/42
What is prob of picking 1 q, 1 b, 1 k, and 1 v when four letters picked without replacement from {b: 1, k: 1, v: 7, q: 4, c: 1, d: 4}?
7/765
Calculate prob of picking 2 w and 1 b when three letters picked without replacement from tmmtmttttmtwmtbtmwr.
1/969
Three letters picked without replacement from srsiigssiiriisrss. Give prob of picking 2 s and 1 r.
63/680
Two letters picked without replacement from {m: 6, j: 1, v: 1, l: 1, b: 1, r: 1}. Give prob of picking 1 m and 1 v.
6/55
What is prob of picking 1 a, 1 q, and 2 u when four letters picked without replacement from {u: 2, q: 1, a: 2}?
2/5
Two letters picked without replacement from bluul. Give prob of picking 1 l and 1 b.
1/5
Four letters picked without replacement from {c: 7, a: 7}. What is prob of picking 4 c?
5/143
What is prob of picking 1 t and 1 f when two letters picked without replacement from fttmmct?
1/7
Calculate prob of picking 2 f and 1 e when three letters picked without replacement from afffaae.
3/35
Four letters picked without replacement from {a: 4, t: 3}. Give prob of picking 2 t and 2 a.
18/35
What is prob of picking 2 v and 2 b when four letters picked without replacement from ttttvvbvb?
1/42
What is prob of picking 1 a and 1 o when two letters picked without replacement from oaookakoakaa?
10/33
Two letters picked without replacement from {v: 4, c: 7, h: 1, u: 2, o: 2}. What is prob of picking 1 o and 1 v?
1/15
Four letters picked without replacement from {b: 8, r: 4, e: 2, k: 1}. Give prob of picking 1 b, 1 k, and 2 e.
8/1365
Four letters picked without replacement from hnpshhrhhs. What is prob of picking 1 p, 1 h, 1 s, and 1 n?
1/21
Two letters picked without replacement from mhfymmmya. Give prob of picking 1 a and 1 h.
1/36
What is prob of picking 2 s when two letters picked without replacement from {t: 9, r: 1, q: 2, u: 3, s: 2}?
1/136
What is prob of picking 4 w when four letters picked without replacement from {j: 6, w: 7}?
7/143
Calculate prob of picking 4 z when four letters picked without replacement from {a: 3, z: 7}.
1/6
Three letters picked without replacement from uwuuuwuu. Give prob of picking 2 u and 1 w.
15/28
Two letters picked without replacement from auauaaa. Give prob of picking 2 u.
1/21
Two letters picked without replacement from {t: 8, o: 5}. What is prob of picking 1 t and 1 o?
20/39
What is prob of picking 2 q when two letters picked without replacement from nbpbssnqnspsbn?
0
Two letters picked without replacement from {v: 1, y: 6, r: 1, a: 2, n: 5}. What is prob of picking 1 n and 1 y?
2/7
What is prob of picking 2 e and 1 c when three letters picked without replacement from {m: 1, c: 1, o: 4, i: 1, e: 2}?
1/84
Three letters picked without replacement from bebbbebbbbbpbebbbbpb. What is prob of picking 2 b and 1 p?
7/38
Three letters picked without replacement from kkekkkkkkkekkkkkekkk. What is prob of picking 3 k?
34/57
Four letters picked without replacement from {e: 3, c: 4, u: 1}. Give prob of picking 3 c and 1 e.
6/35
What is prob of picking 1 u, 2 c, and 1 s when four letters picked without replacement from ucccvcccccuscu?
108/1001
Two letters picked without replacement from gbbdkinidkik. What is prob of picking 1 n and 1 d?
1/33
Two letters picked without replacement from {e: 2, i: 4, s: 2, d: 4}. What is prob of picking 2 i?
1/11
Two letters picked without re | {
"pile_set_name": "DM Mathematics"
} |
*i**2 + 4*f*i**3 + 26*g**2*i**3 + 2*g**2 wrt i?
-18*f*g**2 + 24*f + 156*g**2
What is the third derivative of 12196*t**3 + 786*t**2 wrt t?
73176
Find the first derivative of 58*l**4 + 10*l - 724.
232*l**3 + 10
What is the third derivative of 5*k**3*m**3*t + k**3*t**2 - 173*k**3 - 53*k**2*m**3*t - 2*k**2*t + 3*m**2*t**2 wrt k?
30*m**3*t + 6*t**2 - 1038
What is the second derivative of f**5*r + f**3 - 330*f**2*r + 2*f**2 + 3*f*r - 2*f + 58*r wrt f?
20*f**3*r + 6*f - 660*r + 4
What is the first derivative of 563*c**3*p + 289*c**3*r**2 - 8*p*r**2 + 4*p wrt r?
578*c**3*r - 16*p*r
Find the third derivative of -2*b**6 + 82*b**4 - 18*b**2 wrt b.
-240*b**3 + 1968*b
Find the third derivative of 2*f**3*k**3*z + f**3*k*z - 2*f**2*k**2 + f**2*z**2 - 296*f*k**3*z**3 + 2381*f*z**3 wrt k.
12*f**3*z - 1776*f*z**3
Differentiate 20*s**3 - 60*s**2 + 5799.
60*s**2 - 120*s
Find the third derivative of 189*h**4 - 10*h**3 - 5568*h**2 wrt h.
4536*h - 60
What is the derivative of 2336*c*j**3 + 1374*j**3 wrt c?
2336*j**3
What is the third derivative of 5021*q**4 + 2483*q**2?
120504*q
Find the first derivative of -11270*v + 13721.
-11270
What is the third derivative of -2*l**5 - 2*l**4 + 301*l**3 + 4949*l**2 wrt l?
-120*l**2 - 48*l + 1806
Find the third derivative of 37*x**5 - 48*x**2 - 4 wrt x.
2220*x**2
Find the second derivative of -48*k*p**5 + 1942*k*p - 6*p**5 wrt p.
-960*k*p**3 - 120*p**3
Find the second derivative of 3*z**5 - 68*z**2 + 168*z.
60*z**3 - 136
What is the second derivative of -86*s**4 + 451*s?
-1032*s**2
Differentiate 78*q**3 + 529.
234*q**2
Differentiate 8*b**3 + 36*b**2*j**2 + 9*j**2 - 11 with respect to b.
24*b**2 + 72*b*j**2
What is the second derivative of -1734*f**2 + 2*f + 994?
-3468
What is the third derivative of 24*m*r**4 - m*r**2 - 8*m - 12*r**5 + 31*r**2 wrt r?
576*m*r - 720*r**2
What is the second derivative of -76*p**3 - 16*p + 5?
-456*p
What is the second derivative of -117*v**2*y**3 + 2*v**2*y**2 - 9*v**2 - 6*v*y**3 + 2*v + 8*y**3 + y**2 wrt v?
-234*y**3 + 4*y**2 - 18
What is the second derivative of 67*a**3*c*d**2 + 2*a**3*c*d*i**3 - 3*a**3*c*i**2 + 2*a**3 - 2*a**2*c*i**3 - 3*a*c*d + 4*c*d**2*i**3 + 2*c*d**2 wrt d?
134*a**3*c + 8*c*i**3 + 4*c
Find the second derivative of 6589*d**2*f**3 - 3*d*f**3 + 4*d*f - 93*d wrt d.
13178*f**3
Differentiate 10*g**3 + 154*g - 7370 wrt g.
30*g**2 + 154
What is the derivative of 268*m*p**2 + 3023*m - 3*p wrt p?
536*m*p - 3
What is the third derivative of -5*a**5 - 737*a**4 - 6*a**2 + 804*a - 1?
-300*a**2 - 17688*a
Differentiate -b**2*q**2 + 1035*b**2 - q**2 - 71*q wrt b.
-2*b*q**2 + 2070*b
Differentiate 3*a*u**4 - 94*a*u**3 - a*u - 1205*a - 2 wrt u.
12*a*u**3 - 282*a*u**2 - a
What is the first derivative of 65*b*h - 267*b - 3*h**4 wrt h?
65*b - 12*h**3
What is the second derivative of -2*k**3*n*z + 13*k**3*n + 5*k**2*n*z - 9*k*n*z + k*z - k + 11*n wrt k?
-12*k*n*z + 78*k*n + 10*n*z
Find the second derivative of -174*w**2 + 192*w.
-348
What is the second derivative of 8*h**2*x**5 - 66*h**2*x**4 + 32*h**2*x + 49*h**2 wrt x?
160*h**2*x**3 - 792*h**2*x**2
Differentiate 1806*t + 1573.
1806
What is the second derivative of 785*n**2*o**2 - 86*n*o**2 + 3*n*o - 2*o wrt n?
1570*o**2
Find the third derivative of 7*l**4*z**2 + 12*l**3*z**3 - 78*l**2*z**2 + l*z**3 wrt l.
168*l*z**2 + 72*z**3
Find the third derivative of -1938*f*r**5 - 2*f*r**2 + 585*f*r - r**6 wrt r.
-116280*f*r**2 - 120*r**3
What is the third derivative of 2*f**3*j*o + 50*f**3*j - 4*f**3*m + 44*f**2*j*o - 3*f**2 + 4*f*j*m + 2*j wrt f?
12*j*o + 300*j - 24*m
Find the second derivative of -4*r**5 + 105*r**4 + 2*r + 145.
-80*r**3 + 1260*r**2
What is the first derivative of -109*i**2*o + 2*i*o - i - 1712*o wrt i?
-218*i*o + 2*o - 1
What is the third derivative of 221*o*s*z**4 + o*s*z**2 - 22*o + 2*s*z**2 - z**2 wrt z?
5304*o*s*z
Differentiate 3565*r*t**3 + 58*t**3 - 16 with respect to r.
3565*t**3
What is the first derivative of 801*c**3 + 1703?
2403*c**2
Find the second derivative of -6701*i**3 + 6*i - 385.
-40206*i
What is the derivative of 5*f**2 - 288*f - 444?
10*f - 288
Find the first derivative of -21197*g + 15634.
-21197
Differentiate -23*w**2 + 193*w - 2784.
-46*w + 193
What is the derivative of -t*x**4 - 9*t*x**2 + 13147*t + 126*x wrt x?
-4*t*x**3 - 18*t*x + 126
What is the derivative of -7*c*q**2*v + 14*c*q*v**3 - 13*q**2*v**2 + 2*v**3 + 5*v wrt c?
-7*q**2*v + 14*q*v**3
What is the third derivative of p**5 + 8*p**4*t**2 - 9*p**3*u + 3*p**2*t**2*u - 44*p**2*t**2 - 2*p**2*t*u + 3*u wrt p?
60*p**2 + 192*p*t**2 - 54*u
What is the third derivative of 1271*c*f**2*q**3 + c*f*q**2 + 54*c*f*q + 2*c + f**2*q wrt q?
7626*c*f**2
What is the third derivative of -2*k**3*x**4 + 23*k**3*x**3 - 2*k**3*x - 14*k**3 + 2*x**4 + 9*x**2 wrt x?
-48*k**3*x + 138*k**3 + 48*x
What is the second derivative of -3*j**3*r**3 - 2*j**3*r**2 + 2*j*r**3 + 2*r**3 + 19*r**2 wrt j?
-18*j*r**3 - 12*j*r**2
What is the second derivative of -10349*x**2 + 9737*x + 1 wrt x?
-20698
Find the third derivative of -a**6 + 83*a**4 - 16*a**2.
-120*a**3 + 1992*a
Find the third derivative of 5*r**3*z**6 - 9*r**3*z**3 + r**3*z**2 - 14*z wrt z.
600*r**3*z**3 - 54*r**3
Find the third derivative of 6520*p**3 + 205*p**2 - 2*p.
39120
Differentiate 1266*p**2 - 448.
2532*p
What is the first derivative of 953*s*v + 9051*s wrt v?
953*s
What is the derivative of -5*n**3*z**2 - 4*n**3 + 12*n**2 - 6*n*z**2 wrt z?
-10*n**3*z - 12*n*z
What is the second derivative of 19*d**3*m**2 + 2*d**3*m - 7*d**2*m**2 + 33*d**2*m wrt m?
38*d**3 - 14*d**2
What is the first derivative of 411*o + 51 wrt o?
411
What is the second derivative of -97*m**4 - 5*m**3 + m**2 + 2823*m?
-1164*m**2 - 30*m + 2
Find the second derivative of a*y**3 - a*y**2*z**2 - 4*a*y**2*z + 5*a*y*z**2 + 3*y**3*z**2 - 37*y**2*z wrt z.
-2*a*y**2 + 10*a*y + 6*y**3
Find the third derivative of 122*p**5 + 2*p**2 + 2 wrt p.
7320*p**2
Find the third derivative of 8*h**5 + h**3 + 369*h**2 wrt h.
480*h**2 + 6
What is the first derivative of 91*b**2*k*t - 3*b**2*k - 2*b**2*t + 5*b*k**2*t + 121*b*k**2 wrt t?
91*b**2*k - 2*b**2 + 5*b*k**2
Find the third derivative of -1851*i**6 + 2*i**2 - 40 wrt i.
-222120*i**3
Differentiate 382*f + 2438 wrt f.
382
What is the derivative of -47*s**4 - s**3 - 162 wrt s?
-188*s**3 - 3*s**2
Find the second derivative of 1325*v**3 - 4*v - 206.
7950*v
What is the second derivative of -6*x**4 - 173*x?
-72*x**2
What is the second derivative of -1217*g**4 + 381*g wrt g?
-14604*g**2
Find the first derivative of 2077*x**3 + 1195.
6231*x**2
Find the third derivative of -38*q**3*s**3 - 2*q**2*s**3 - 22*s**3 + 4*s**2 wrt q.
-228*s**3
Find the second derivative of 4482*c**3 + 1022*c + 2 wrt c.
26892*c
What is the second derivative of -33*s**3*t**2 - s**3 + 74*s*t - t**2 wrt t?
-66*s**3 - 2
What is the derivative of 3*h**2*t**3 + 6*h**2 + 343*h*t**3 - 5*h wrt t?
9*h**2*t**2 + 1029*h*t**2
Find the second derivative of 2*o**5 - 160*o**4 - o - 155.
40*o**3 - 1920*o**2
Find the third derivative of -20306*d*k**5 - 271*d*k**2 + 22*k**2 wrt k.
-1218360*d*k**2
What is the second derivative of -209*o**3 + 8*o - 32 wrt o?
-1254*o
What is the third derivative of 2*k*l*m*q - k*l*q**3 + 2*k*l*q**2 - 2*k*q + 49*l*m*q**5 + 2*l*m*q - 9*m*q**3 + 229*m + q**2 wrt q?
-6*k*l + 2940*l*m*q**2 - 54*m
Find the first derivative of 2451*z**2 - 4722.
4902*z
Find the second derivative of c**2*y + 12*c**2*z**2 - 37*c**2 - 4*c*y**2 + 26*c*z**3 - 2*y**2*z**2 - 5*y*z wrt z.
24*c**2 + 156*c*z - 4*y**2
Find the second derivative of -m**5 + 53*m**3 - 3*m + 31 wrt m.
-20*m**3 + 318*m
What is the second derivative of -263*i*m**2*o - i*o - 2*m**2 + 5*m*o + m wrt m?
-526*i*o - 4
What is the third derivative of j**2*m**3 + 230*j**2*m**2 - 4*j*m**2 - 2591*m**3 + m**2 wrt m?
6*j**2 - 15546
Find the second derivative of -2*u**3 + 262*u**2 + 16*u - 9 wrt u.
-12*u + 524
Find the third derivative of -455*l**6 + 6*l**5 + l**3 - 2*l**2 - 14885.
-54600*l**3 + 360*l**2 + 6
Differentiate 3*f**3*z - 7*f**2*z**3 - 15*z**3 with respect to f.
9*f**2*z - 14*f*z**3
Differentiate 1623*l**2 + 4206 wrt l.
3246*l
What is the derivative of -1963*m + 6702 wrt m?
-1963
Differentiate -182*m**4 + 5*m**3 + m**2 - 7796 with respect to m.
-728*m**3 + 15*m**2 + 2*m
What is the third derivative of 137*h**4 + h* | {
"pile_set_name": "DM Mathematics"
} |
the remainder when 72098 is divided by 345.
338
What is the remainder when 10373 is divided by 225?
23
Calculate the remainder when 1179 is divided by 564.
51
Calculate the remainder when 68110 is divided by 68108.
2
What is the remainder when 5680 is divided by 34?
2
Calculate the remainder when 20733 is divided by 68.
61
Calculate the remainder when 9330 is divided by 405.
15
Calculate the remainder when 9411 is divided by 19.
6
What is the remainder when 361 is divided by 28?
25
Calculate the remainder when 498023 is divided by 68.
59
What is the remainder when 18423 is divided by 185?
108
What is the remainder when 1532 is divided by 1514?
18
Calculate the remainder when 13474 is divided by 49.
48
What is the remainder when 1096900 is divided by 81?
79
Calculate the remainder when 5182 is divided by 2586.
10
What is the remainder when 13374576 is divided by 31?
29
What is the remainder when 7000238 is divided by 1016?
1014
Calculate the remainder when 18423 is divided by 196.
195
Calculate the remainder when 15655 is divided by 30.
25
What is the remainder when 10173 is divided by 675?
48
Calculate the remainder when 35636 is divided by 1886.
1688
What is the remainder when 710374 is divided by 355181?
12
What is the remainder when 237027 is divided by 19752?
3
Calculate the remainder when 32924 is divided by 168.
164
Calculate the remainder when 98120 is divided by 28.
8
What is the remainder when 4630 is divided by 2786?
1844
What is the remainder when 1194814 is divided by 98?
96
Calculate the remainder when 12918 is divided by 1415.
183
Calculate the remainder when 5412 is divided by 1799.
15
Calculate the remainder when 9793 is divided by 7.
0
Calculate the remainder when 84794 is divided by 43.
41
Calculate the remainder when 5898 is divided by 958.
150
What is the remainder when 44213 is divided by 220?
213
Calculate the remainder when 166052 is divided by 173.
145
What is the remainder when 70139 is divided by 662?
629
What is the remainder when 976 is divided by 799?
177
Calculate the remainder when 17412 is divided by 5800.
12
What is the remainder when 181889 is divided by 206?
197
What is the remainder when 30006 is divided by 967?
29
What is the remainder when 10350 is divided by 45?
0
Calculate the remainder when 61832 is divided by 966.
8
What is the remainder when 125648 is divided by 12?
8
What is the remainder when 1600556 is divided by 195?
191
What is the remainder when 12169 is divided by 461?
183
Calculate the remainder when 459535 is divided by 229761.
13
Calculate the remainder when 18283 is divided by 3499.
788
What is the remainder when 153910 is divided by 51303?
1
What is the remainder when 480318 is divided by 16010?
18
What is the remainder when 201 is divided by 24?
9
What is the remainder when 22797 is divided by 40?
37
Calculate the remainder when 6303 is divided by 556.
187
What is the remainder when 53076 is divided by 31?
4
What is the remainder when 90631 is divided by 364?
359
What is the remainder when 9007 is divided by 7?
5
What is the remainder when 70139 is divided by 30?
29
What is the remainder when 10734 is divided by 182?
178
What is the remainder when 423 is divided by 162?
99
What is the remainder when 313680 is divided by 47?
2
What is the remainder when 83004 is divided by 539?
537
What is the remainder when 131773 is divided by 35?
33
Calculate the remainder when 28835 is divided by 958.
95
What is the remainder when 49907 is divided by 16619?
50
Calculate the remainder when 19450 is divided by 174.
136
What is the remainder when 11613 is divided by 528?
525
What is the remainder when 8549 is divided by 71?
29
What is the remainder when 26587 is divided by 34?
33
What is the remainder when 12832 is divided by 32?
0
What is the remainder when 30758 is divided by 15373?
12
What is the remainder when 323500 is divided by 6?
4
Calculate the remainder when 6477 is divided by 3.
0
Calculate the remainder when 475929 is divided by 13.
12
Calculate the remainder when 96720 is divided by 1362.
18
What is the remainder when 15715 is divided by 3142?
5
What is the remainder when 683 is divided by 153?
71
Calculate the remainder when 727 is divided by 40.
7
What is the remainder when 13148 is divided by 6558?
32
Calculate the remainder when 661232 is divided by 220408.
8
What is the remainder when 183842 is divided by 5252?
22
What is the remainder when 27907 is divided by 63?
61
Calculate the remainder when 10233 is divided by 44.
25
What is the remainder when 20479 is divided by 85?
79
What is the remainder when 67921 is divided by 441?
7
What is the remainder when 5336 is divided by 3?
2
Calculate the remainder when 138617 is divided by 153.
152
Calculate the remainder when 20067 is divided by 979.
487
What is the remainder when 44087 is divided by 630?
617
Calculate the remainder when 27900 is divided by 109.
105
What is the remainder when 3703 is divided by 1548?
607
Calculate the remainder when 920 is divided by 887.
33
Calculate the remainder when 11758 is divided by 655.
623
What is the remainder when 7622 is divided by 332?
318
What is the remainder when 18380 is divided by 259?
250
What is the remainder when 61463 is divided by 230?
53
What is the remainder when 1252 is divided by 308?
20
What is the remainder when 2050 is divided by 14?
6
Calculate the remainder when 20419 is divided by 353.
298
What is the remainder when 220582 is divided by 156?
154
Calculate the remainder when 6218738 is divided by 220.
218
What is the remainder when 280577 is divided by 200?
177
Calculate the remainder when 4022 is divided by 563.
81
What is the remainder when 645465 is divided by 35?
30
Calculate the remainder when 4588 is divided by 1406.
370
What is the remainder when 25593 is divided by 8528?
9
What is the remainder when 376 is divided by 288?
88
What is the remainder when 3027 is divided by 525?
402
Calculate the remainder when 134275 is divided by 22373.
37
What is the remainder when 129127 is divided by 16127?
111
What is the remainder when 3463 is divided by 1718?
27
What is the remainder when 33149 is divided by 130?
129
Calculate the remainder when 70556 is divided by 10078.
10
What is the remainder when 10332 is divided by 5142?
48
Calculate the remainder when 29697 is divided by 35.
17
What is the remainder when 112448 is divided by 459?
452
What is the remainder when 9521 is divided by 1581?
35
What is the remainder when 33967 is divided by 580?
327
What is the remainder when 12915 is divided by 1838?
49
What is the remainder when 25194 is divided by 2517?
24
Calculate the remainder when 4794 is divided by 1588.
30
Calculate the remainder when 11513 is divided by 384.
377
What is the remainder when 45819 is divided by 22893?
33
Calculate the remainder when 3768 is divided by 66.
6
Calculate the remainder when 115621 is divided by 185.
181
What is the remainder when 27397 is divided by 832?
773
Calculate the remainder when 69127 is divided by 3005.
12
What is the remainder when 2010 is divided by 335?
0
What is the remainder when 1369879 is divided by 184?
183
Calculate the remainder when 189599 is divided by 1036.
11
What is the remainder when 226070 is divided by 77?
75
Calculate the remainder when 3823 is divided by 483.
442
What is the remainder when 19733 is divided by 153?
149
What is the remainder when 9216 is divided by 861?
606
Calculate the remainder when 15709 is divided by 1208.
5
Calculate the remainder when 36032 is divided by 44.
40
Calculate the remainder when 480393 is divided by 400.
393
What is the remainder when 6288 is divided by 3140?
8
Calculate the remainder when 38111 is divided by 34.
31
What is the remainder when 5673 is divided by 203?
192
Calculate the remainder when 132604 is divided by 1700.
4
Calculate the remainder when 8816 is divided by 1101.
8
Calculate the remainder when 2611 is divided by 3.
1
What is the remainder when 43956 is divided by 117?
81
What is the remainder when 109570 is divided by 735?
55
Calculate the remainder when 29731 is divided by 44.
31
Calculate the remainder when 13413 is divided by 85.
68
Calculate the remainder when 16653 is divided by 40.
13
What is the remainder when 235158 is divided by 49?
7
Calculate the remainder when | {
"pile_set_name": "DM Mathematics"
} |
0.04 - 47.96. Let b = 0.4466663 - 48.4463963. Let d = b - z. Round d to four decimal places.
0.0003
Let v = -0.98714 + 0.6805. Let b = 6.28356 - v. Let o = -6.6 + b. Round o to three dps.
-0.01
Let s = 2.49 + -0.09. Let q = -2.8 - s. Round q to the nearest integer.
-5
Let a = 119.4323 + -276.43159. Let p = 157 + a. What is p rounded to four dps?
0.0007
Let s be -138 + 0 - -2 - 1. Let k = s - -210. Round k to the nearest 10.
70
Suppose 58737 + 27257 = m - 2*k, -k = -3. What is m rounded to the nearest ten thousand?
90000
Let c = 1.48 + -3.8. Round c to the nearest integer.
-2
Let c be 4371 + -7 + -4*1. Round c to the nearest one thousand.
4000
Let q be 3*1*(-9 + 6). Let a(g) = -g**2 - 6*g + 12. Let z be a(q). Let r be -1460*(2 - z/(-6)). What is r rounded to the nearest 100?
700
Let i = 0.4 + 0.03. Round i to 1 dp.
0.4
Let a = 0.14 - 0.15225. Round a to 3 decimal places.
-0.012
Let j = 1.23 - 1.23123. What is j rounded to four decimal places?
-0.0012
Suppose -2*u + n = -5, 4*u - 4 = -3*n + 1. Suppose 0*w = -u*w + 1500000. What is w rounded to the nearest one hundred thousand?
800000
Let i = 3252423 - 3252409.999982. Let r = 13 - i. What is r rounded to 5 decimal places?
-0.00002
Let g = 450.167 + -487.1712. Let o = g + 37. What is o rounded to three decimal places?
-0.004
Suppose -2*i + 0*i + 18 = 0. Let a(b) = 701*b**3 - 12*b**2 - 7*b + 6. Let j be a(i). Round j to the nearest one hundred thousand.
500000
Suppose 3*w + 6300 = 5*u - 447, -5*u - w = -6751. What is u rounded to the nearest 100?
1400
Let y = 102 - 102.00047. What is y rounded to 4 decimal places?
-0.0005
Suppose v = -0*v - 12. Let b be ((-362500)/v)/(1/(-288)). What is b rounded to the nearest one million?
-9000000
Let t = -1.7 + 2. Let l = 0.2 - t. Let x = l - -0.099924. Round x to five decimal places.
-0.00008
Let t = 264498 - 132624. Let y = -79874 + t. Round y to the nearest ten thousand.
50000
Let j = 11.3 - 11.300000079. What is j rounded to 7 decimal places?
-0.0000001
Let x = 226145 + -226146.9999936. Let l = -0.03 + -1.97. Let n = x - l. Round n to six dps.
0.000006
Suppose 2*o = -0*o - 24. Let y be 2/(-8) + (-20745303)/o. Let k = 288775 - y. What is k rounded to the nearest one hundred thousand?
-1400000
Let u = -7914.49944 - -7916. Let b = -1.5 + u. Round b to 4 decimal places.
0.0006
Let s = -4282573 - -4282573.02104549. Let r = -2.67888751 - s. Let w = -2.7 - r. Round w to five dps.
-0.00007
Let b = 30 + -18. Let c = b - 24. Let y = 11.999912 + c. Round y to five dps.
-0.00009
Suppose -2974 = 2*f - k, -4232 = 4*f - k + 1718. Suppose 0 = 3*j + 2*y - 2734, 1703 = 3*j - 2*y - 1011. Let x = j + f. Round x to the nearest 100.
-600
Let b = 0.33 + -0.33000259. Round b to 7 dps.
-0.0000026
Let u = -7.605 - -7.1. Let c = 0.41 + u. What is c rounded to 2 dps?
-0.1
Let t = 109 + -109.000049. What is t rounded to 6 dps?
-0.000049
Let k = -156 + 271. Round k to the nearest ten.
120
Let w = 80 + -79.86. What is w rounded to one decimal place?
0.1
Let f be (-6629998)/13 + (-2)/13. What is f rounded to the nearest 100000?
-500000
Let g = 224 + -224.091. What is g rounded to 2 dps?
-0.09
Let c = -32 + 31.9999974. What is c rounded to 6 decimal places?
-0.000003
Let y = -49802.788215 + 49818.46. Let q = 16.0917 - y. Let c = 0.42 - q. What is c rounded to 5 dps?
0.00009
Let b = 2584 + -2449.7. Let k = b - -19.7. Let g = 153.99999937 - k. What is g rounded to 7 decimal places?
-0.0000006
Let k = 0.55 - 0.6. Let f = k + -0.07. Let r = f + 0.119901. Round r to 5 decimal places.
-0.0001
Let y = 0.89 - 0.88963. Round y to 4 decimal places.
0.0004
Let g = -0.3 + 0.3. Let p = 0.17 - g. Let y = p + -0.169986. Round y to 5 decimal places.
0.00001
Let k = 0.94484 + -7.94473. Let m = -0.15 + 7.15. Let h = k + m. What is h rounded to 4 dps?
0.0001
Suppose 4 = -o - 3*o. Let q = o + 9. Suppose -10799980 = -3*k - q*f + 3*f, -2*k = 5*f - 7199980. Round k to the nearest 1000000.
4000000
Let y = -4514667.200127 + 4514681. Let n = 13.8 - y. Round n to 5 decimal places.
0.00013
Let d(r) = 27602*r**2 + 10*r. Let y be d(-5). What is y rounded to the nearest one hundred thousand?
700000
Let j be ((-4000)/3)/((-7)/1260). Round j to the nearest 100000.
200000
Suppose 4*u - 60000 = 2*u. Round u to the nearest 100000.
0
Suppose -1886795 = 3*z - 8*z. Suppose l - 77359 = -z. What is l rounded to the nearest one hundred thousand?
-300000
Let q be (1/3)/((-1)/(-6)) - -3. Round q to 0 dps.
5
Let k(j) = j**3 - 3*j**2 + 3. Let f be k(3). Suppose 2*n = -z - f*n + 70015, -3*z + 210012 = 4*n. What is z rounded to the nearest ten thousand?
70000
Let x = 3.30968 - 3.34. Let b = x - -0.03. What is b rounded to four decimal places?
-0.0003
Suppose -2*w - 8 = 54. What is w rounded to the nearest 10?
-30
Let o = 1.7811 - 1.581. Let s = 3.2 - 3. Let h = s - o. What is h rounded to 3 decimal places?
0
Let v = -0.49954 - -0.5. What is v rounded to 4 dps?
0.0005
Suppose -2*t = -5*c - t + 80, 3*t + 80 = 5*c. Suppose 0 = a - 3*a + c. Suppose -a*w = -7*w - 160000. What is w rounded to the nearest one hundred thousand?
200000
Suppose -d = -2, 0*v + 2*v + 200002 = d. Round v to the nearest 1000000.
0
Suppose -1983 = 5*z + 207. What is z rounded to the nearest 10?
-440
Let l = -2.6 - -1.3. Let p = l - -1. Let f = -0.29999875 - p. Round f to 7 dps.
0.0000013
Suppose 2*g - 32 - 96 = 0. Suppose -3*b = -g - 143. Round b to the nearest 10.
70
Let h = -2.0000385 + 2. Round h to 6 dps.
-0.000039
Suppose 3*k + 3*i - 24 = -2*i, -30 = -5*k - 5*i. Suppose -6*b + k*b = -12000. Round b to the nearest 10000.
0
Let u(f) = -55*f**2 - 2*f + 2. Let x be u(-4). Let y = x - -1470. Round y to the nearest 100.
600
Let x = -508.2 + 553. Let l = 130 - 90. Let q = x - l. What is q rounded to zero decimal places?
5
Let o = -53515 - -53516.19905. Let n = 5 - 3.8. Let q = o - n. Round q to four dps.
-0.001
Let j = -72317985.70000001 - -72317986. Let g = j - 0.3. Let x = g + 0. What is x rounded to seven decimal places?
0
Let i = 0.121 - 0.06. Round i to two decimal places.
0.06
Suppose -5*t = -4*g - 45, -t - 4 = 4*g - 13. Suppose -4*j = 5*n - 5180, 0*j - 4*n = j - 1306. Let r be (j/t)/(1/(-3)). What is r rounded to the nearest 100?
-400
Let j = 3.76 - 6.79. Let b = j + 6.16. Let n = b - 3.7. What is n rounded to 1 decimal place?
-0.6
Let g be (27125/(-2))/(6/(-96)). Round g to the nearest 10000.
220000
Let f = -11.7 - -11.056. Let t = -5.896 + f. Let l = 7 + t. Round l to 1 decimal place.
0.5
Let h = 0.911 + -0.9. Let f = 5.589 + h. What is f rounded to zero dps?
6
Suppose 2*d = 7*d - 90000000. Suppose d = -h + 3*h. What is h rounded to the nearest one million?
9000000
Let m = -0.3 + -0.1. Let d = m + 0. Let y = -0.3996 - d. What is y rounded to 3 dps?
0
Let z be (-1)/4 + 131138/8. Suppose -2*b + 5*q = z - 125409, 2*b - 3*q - 109011 = 0. Let y be -1 + -1 + b*2. Round y to the nearest 10000.
110000
Let s = 2031.14324 - 2031. Let v = s + -7.143176. Let r = v - -7. Round r to 5 decimal places.
0.00006
Let m = -0.45 + 0.45000115. Round m to seven dps.
0.0000012
Let l = -852 - -345. Round l to the nearest one hundred.
-500
Let i = -55416636 - -15616636. Round i to the nearest 1000000.
-40000000
Let h = 0.03 - 0.73. Let p = h - -0.69959. What is p rounded to 4 decimal places?
-0.0004
Let a = 138 + -231. Let r = a - -87.7. Round r to zero dps.
-5
Let t = 167 + 103. What is t rounded to the nearest 100?
300
Let f = 1202220.000003 - 1202221. Let m = 1 + f. What is m rounded to five dps?
0
Let c = 12 + -12.00000115. Round c to seven dps.
-0.0000012
Let s = 1.490569 + -2.0705435. Let r = 0.0101235 - s. Let t = r + -0.59. What is t rounded to five decimal places?
0.0001
Let n = 210 + -191.6. Round n to the nearest 10.
20
Let d(x) = 599995*x + 8. Let u(l) = 599996*l + 7. Let n(k) = -5*d(k) + 6*u(k). Let f be n(-2). What is f rounded to the nearest 1000000?
-1000000
Suppose -4*p = -3*p - 2190. What is p rounded to the nearest 100?
2200
Let h = 26740 - 26751.027. Let a = h + 11. Round a to 2 dps.
-0.03
Let c = -13.6 - -19.7. Let w = -6.100039 + c. Round w to 5 decimal places.
-0.00004
Let b(n) = 503*n**3 + 2*n**2 + 7*n. Let a be b(5). Let w = a - 132695. Let z = w - -110735. What is z rounded to the nearest ten thousand?
40000
Let n = 5.37983 + -5.39. Let c = n + 0.01. What i | {
"pile_set_name": "DM Mathematics"
} |
ort o, i, -0.4 in increasing order.
-0.4, o, i
Let r = 1.458 + -0.458. Put -5, -14, r, -2/5 in decreasing order.
r, -2/5, -5, -14
Let n = 35 + -30. Let t = -0.22 - -1.02. Let p = t - 0.4. Sort -0.9, p, n.
-0.9, p, n
Let s = -210 + 206. Let h be 4/(-22) + (-2)/(-11). Let i be h + -1 - (-6)/10. Put s, 0.1, i in ascending order.
s, i, 0.1
Let i be 6/4*2/(-3). Let r = 57.6 - -6.4. Let k = r + -64.4. Sort k, i, -7 in descending order.
k, i, -7
Let i = -1097 + 1080. Put i, 4, -3 in increasing order.
i, -3, 4
Let q be (-12)/5 + 14/35. Let n be -5 - -2 - 2*-7. Suppose n = 2*t + 3. Put t, -1, q in ascending order.
q, -1, t
Let x be 1/((-1)/(-2)) + -2. Suppose 0 = -4*j + 3*l + 23, j + x*l = -2*l - 8. Suppose n = 2*n - 1. Put j, n, -2 in decreasing order.
j, n, -2
Suppose 21*w = 20*w + 4. Suppose -w*q = 4*n - 20, n - q = 3*n - 7. Put -1, 12, -5, n in increasing order.
-5, -1, n, 12
Let b = -0.93 - -1.03. Sort -0.4, -6, b, 5 in descending order.
5, b, -0.4, -6
Let n = -490 + 492. Let u(a) = a**3 + 4*a**2 + 2*a + 1. Let h be u(-3). Put h, n, 0.2, -1/8 in decreasing order.
h, n, 0.2, -1/8
Let i be (3/(-12))/((-1)/(-16)*-2). Let q be (i/16)/((-1)/(-6)). Let a = -0.6 + 0.6. Put 13, q, a in decreasing order.
13, q, a
Let k = 300/11 - 3922/143. Sort 4, k, 1/3 in increasing order.
k, 1/3, 4
Let s be (-10)/(-8)*1*4. Suppose -3*i - 5*k + 44 = 0, 12 = 9*i - 8*i + k. Put 2, i, -4, s in increasing order.
-4, 2, s, i
Suppose -455 + 501 = 46*q. Sort 97, q, -5, 0 in increasing order.
-5, 0, q, 97
Let k(y) = y**3 + 9*y**2 - 10*y - 5. Let r be k(-10). Let g(v) = v**3 + 3*v**2 - 2*v + 4. Let h be g(-4). Suppose 4*a - 15 = 1. Put a, r, h in descending order.
a, h, r
Suppose 0 = 2*m - 90 + 18. Let b = m - 32. Sort b, -2, -1 in increasing order.
-2, -1, b
Let d = 2724 - 2744. Suppose -m + 6*m - 31 = -2*h, 4*h + 2*m - 22 = 0. Put d, 0, h in decreasing order.
h, 0, d
Let f be 6/15 - (-1596)/35. Suppose -3*b - 2*l + 17 = -30, 3*b = -l + f. Sort -5, b, 1.
-5, 1, b
Suppose 0*s - 2*s - 4*i = -18, -4*i - 2 = -2*s. Suppose -5*r = -c + 4*c - 2, -5*r = 5*c. Suppose -2*m = -0*m + 8. Sort s, c, m in increasing order.
m, c, s
Let u = -243 - -243. Sort -24, u, -3.
-24, -3, u
Suppose 5*j + 144 = 2*v, v = 2*j + 99 - 26. Let l = 307/4 - v. Put l, -15/2, 3/7 in decreasing order.
3/7, l, -15/2
Let t = 13220893993/199452 - 175/16621. Let k = t + -66451. Let j = k - -165. Sort -1/8, 3/7, j in increasing order.
-1/8, j, 3/7
Let r be (32/112)/((-2)/14). Sort -1, 3, r, 7 in descending order.
7, 3, -1, r
Let r be -36 + (-1000)/(-30) - (13/3 - -1). Suppose -p + 4 + 2 = 0. Let j(i) = -i**3 + 7*i**2 - 5*i - 7. Let t be j(p). Sort r, 1/3, t.
r, t, 1/3
Let h(f) = 2*f + 13. Let i be h(-9). Let z be ((-8)/20)/(2/20). Put -7, z, i in descending order.
z, i, -7
Let y be 3*(3 + 13/(-3)). Let w = -0.233 - 0.067. Sort y, w, 0.5 in decreasing order.
0.5, w, y
Suppose 4*w + 5*n - 44 = 0, -w - 4*n = -27 + 5. Suppose -3*a + 5*a - 4 = 0. Suppose a = -5*y - 3*r + 13, -r - 23 = -5*y. Sort -2, y, w in ascending order.
-2, y, w
Let p = 1 + -0.6. Let m be (-132)/(-12) - (0 + 1). Let s be m/(-3)*(-18)/(-15). Put p, -1, s in ascending order.
s, -1, p
Let b = -0.7 - 4.3. Sort 3/5, -2/17, b, -6 in descending order.
3/5, -2/17, b, -6
Let f be (-136)/238*(-21)/6. Sort f, -11, -2 in decreasing order.
f, -2, -11
Let o(s) = s**3 + 6*s**2 + 5*s. Let u be o(-5). Suppose 2*v + 0*v = u. Sort -4, 2, v in increasing order.
-4, v, 2
Let s = -4489/7 + 641. Put s, 4/21, 0 in increasing order.
s, 0, 4/21
Let f = 96 - 96.2. Put -0.1, 0.16, f, 3 in decreasing order.
3, 0.16, -0.1, f
Suppose 0 = 3*t + 4*q - 24, -3 = 3*t - 12*q + 7*q. Suppose f = -3*f - 12. Sort t, f, -4.
-4, f, t
Let g(a) = a + 4. Let p be g(0). Let f be ((-108)/210)/9*(p - -1). Let v be (0 - (-2)/10)/1. Sort 2/3, v, f in decreasing order.
2/3, v, f
Let u(i) = i**3 - 13*i**2 - 50*i + 36. Let j be u(16). Sort 75, -2, j in descending order.
75, j, -2
Let b be (-24)/16*78/(-9). Let a = b + -16. Suppose j = -0 - 4. Put 0, a, j in ascending order.
j, a, 0
Let f(l) = -l - 6. Let q be f(-5). Let p be -1 + q/(1/3). Let r = -7 - -12. Sort p, r, 3 in decreasing order.
r, 3, p
Suppose 0 = 5*v + 2*r - 2, -2*r = -4*v + 164 - 148. Sort -5, -4, 4, v in ascending order.
-5, -4, v, 4
Suppose -3*t + t + 14 = 4*r, -3*t + 2*r = -5. Suppose 0 = 2*p - 4 - 4. Sort p, t, 1, -1 in increasing order.
-1, 1, t, p
Let r = 3 - 2. Suppose -227 = -14*n - 157. Put n, r, -5, 2 in decreasing order.
n, 2, r, -5
Suppose h - 6*h = 100. Suppose 2*p - 32 = -0. Let r = h + p. Sort r, -2, 1 in decreasing order.
1, -2, r
Let w = 15 - 11. Let i(s) = -s**3 + 3*s**2 + 5*s - 3. Let t be i(w). Put -4, t, 5 in descending order.
5, t, -4
Suppose -7*y + 30 = -145. Suppose -3*d - y = 5*c, 0*d - 4*c = 5*d + 33. Put 6, 1, d, 2 in descending order.
6, 2, 1, d
Let n(x) = -x**3 + 19*x**2 - 22*x + 72. Let q be n(18). Put -19, -1, q in ascending order.
-19, -1, q
Let b = -3.4 - -3.4. Let x = 7.3 - -1.7. Sort x, b, -0.5, -2 in increasing order.
-2, -0.5, b, x
Suppose q - 49 = 45. Let p = -64 + q. Let a = 33 - p. Sort -7, 2, a in decreasing order.
a, 2, -7
Let j = -0.2 - -0.25. Let t = 146 + -165. Let d = t + 15. Put j, d, -1 in decreasing order.
j, -1, d
Let j(k) = -k**2 - 7*k + 25. Let b be j(3). Sort b, 1, -2, -11.
-11, b, -2, 1
Let l(s) = s**2 - 6*s - 6. Let x be l(7). Let c = 0 + x. Let n = -18.3 - -14.3. Sort c, -0.1, n.
n, -0.1, c
Let x = -46 - -48. Let n = 1.01 + -1.21. Sort -0.5, -4/3, n, x in descending order.
x, n, -0.5, -4/3
Let q = 219 + -221. Put -5, q, 2, 3 in decreasing order.
3, 2, q, -5
Let o = 0.2 + -0.4. Let r = -0.2 - o. Let c = -573 - -575. Sort c, r, -1/5 in descending order.
c, r, -1/5
Let f(d) = -d**3 - 4*d**2 + 6*d + 1. Let n be f(-5). Let g be n/6*(-2)/4. Let y = 1287.7 - 1287. Sort g, y, 0.3 in descending order.
y, g, 0.3
Let y(s) = 3*s - 5. Let b be y(2). Let g be 2 + -1*4/b. Put 0.8, -4, g in ascending order.
-4, g, 0.8
Let s = 9.8 + -12. Sort 5/6, s, -5 in descending order.
5/6, s, -5
Let s(k) = k**2 + 7*k + 9. Let w be s(-6). Let x = w - -2. Let m = 80.5 + -83.5. Put 0.4, x, m in ascending order.
m, 0.4, x
Suppose 0 = -n + 4*q - 7*q + 64, -2*n = -q - 107. Let x = -53 + n. Put 5, 3, x, 0 in decreasing order.
5, 3, x, 0
Suppose 54 = 6*o + 6. Let m be (-4 - o)*(-2)/(-3). Put 2, 4, -4, m in descending order.
4, 2, -4, m
Let t = 0.0579 + 128.9421. Put 1/3, -4, t in ascending order.
-4, 1/3, t
Suppose 2*c - 2*t = 18, -8*t = 4*c - 9*t - 24. Sort -2, 2, c in decreasing order.
c, 2, -2
Let g = -0.0201 - -26.0201. Sort -0.1, -2/3, g in ascending order.
-2/3, -0.1, g
Suppose 22*a + 16*a - 152 = 0. Sort 18, -5, -3, a in decreasing order.
18, a, -3, -5
Let h = 23/42 + -8/21. Let z = 1 - -15. Suppose q = -5*f + 27, -5*q + 9 + z = 3*f. Put 0, h, q in increasing order.
0, h, q
Let y(t) = 6*t + 26. Let p be y(15). Let s = 99 - p. Sort 3, s, 1, 0 in decreasing order.
3, 1, 0, s
Let x = -1392 + 1388. Suppose 5*j + 15 = 2*j. Put j, 4, x, 5 in decreasing order.
5, 4, x, j
Suppose 2 + 6 = -4*x. Suppose 2*m - 8*m = -12. Let p be (-8 - -8)*(-1)/(-2). Sort x, p, m.
x, p, m
Let m = 0.1 + 0.2. Let t = -8.43 - -0.63. Let o = t + 11.8. Put o, m, 3 in decreasing order.
o, 3, m
Let z be 30/(-70)*63/(-27). Put 8, 0, z, 2 in decreasing order.
8, 2, z, 0
Let u = 2.9 + -3. Suppose -g + 9 = 5*c, 0 = 2*g + 5*c - 3*c - 26. Let s be 1 + (g - 12)*(-10)/4. Put 0, s, u in decreasing order.
0, u, s
Let a = -31 - -55. Suppose -174*m = -168*m - a. Put m, -1, 0 in decreasing order.
m, 0, -1
Let b = 307/6 + -51. Suppose -2*m + 3*m = 2*k + 3, 3*k + 7 = 2*m. Let x be 80/(-36) + (k - -1). Sort 2, x, b in decreasing order.
2, b, x
Let w = -51.71 - -51.8. Let j = 17 + -13. Sort w, -3/2, j in decreasing order.
j, w, -3/2
Let n = 3.9505 + 0.0495. Put n, 3/4, 0.5 in descending order.
n, 3/4, 0.5
Let j(k) = -k**2 - k + 3. Let p be j(-2). Put 2, -18, 11, p in decreasing order.
11, 2, p, -18
Suppose -91*d + 88*d + c - 4 = 0, -2*c = -2. Let b = -12 - -13. Put d, b, 4 in ascending order.
d, b, 4
Suppose -9*v - 2109 = -2145. Let a(h) = h**3 - 5*h**2 + 5*h - 6. Let w be a(4). Sort w, 5, v in descending order.
5, v, w
Suppose 16 = 6*r - 2*r - u, -r + 3*u + 15 = 0. Sort 4, r, 65 in ascending order.
r, 4, 65
Let a = -3.21 + 2.91. Let z(k) = k**3 - 5*k**2 - 5. Let | {
"pile_set_name": "DM Mathematics"
} |
Let n be 43/9 - 22/(-99). Suppose 2*x + 3*w = -x + 45, w = x - n. What are the prime factors of x?
2, 5
Suppose 0 = -3*h - 0*h + 15. List the prime factors of h.
5
Let j = -8 - -50. What are the prime factors of j?
2, 3, 7
Suppose -5 = -5*b + 15. Let p be (-6)/(-4)*b/(-6). Let f(m) = 7*m**2 - 1. List the prime factors of f(p).
2, 3
Suppose 3*v + 102 = 3*u, -u = -2*u + 3*v + 24. What are the prime factors of u?
3, 13
Suppose 5 = 4*y - 7. Suppose v + 8 = -v - 2*f, 2*v + 12 = -y*f. Suppose -2*u - 2*u + 56 = v. What are the prime factors of u?
2, 7
Let k(b) = b - 3. What are the prime factors of k(5)?
2
Let z(u) = u**3 + 5*u**2 + 2*u - 2. Let d(w) = w**2 - 12. Let y be d(0). Let i be (4/(-6))/((-2)/y). What are the prime factors of z(i)?
2, 3
Let i be (-1)/6 - (-26)/12. Suppose i*g + g - 12 = 0. List the prime factors of g.
2
Suppose -5*n - 4 = -7*n. Suppose -2*c = 3*d - 67, 4*c - 65 - 29 = n*d. List the prime factors of c.
2, 13
Let d be (-2 - -3)/1 + 24. Let o = d + -12. List the prime factors of o.
13
Let j(q) = -6*q - 7. Let b = 1 + -6. What are the prime factors of j(b)?
23
Suppose -7 + 111 = 2*l. Suppose -4*m + l = -2*m. What are the prime factors of m?
2, 13
Suppose 0 = 5*i - i - 20. Suppose -i*y - 48 + 123 = 0. What are the prime factors of y?
3, 5
Let j(d) = 33*d - 27. List the prime factors of j(9).
2, 3, 5
Let i = 75 + 19. What are the prime factors of i?
2, 47
Suppose a - 90 = -3*w, -430 + 126 = -4*a + 2*w. What are the prime factors of a?
2, 3, 13
Let z(w) = -w**3 + 2*w + 62. What are the prime factors of z(0)?
2, 31
Let p be (-1)/(-1*(-2)/(-4)). Suppose 2*f - 34 = -3*l, -5*l - f = -p*f - 61. What are the prime factors of l?
2, 3
Let d = 46 - 16. List the prime factors of d.
2, 3, 5
Suppose -5*k + 3 = -17. What are the prime factors of 15/(-2)*k/(-3)?
2, 5
Let r = 3 - 2. List the prime factors of (12/1)/(r - -1).
2, 3
Suppose -2*x = -72 + 22. Let k = 43 - x. Let a = k - 12. List the prime factors of a.
2, 3
Let x = -60 - -110. List the prime factors of x.
2, 5
Let w be ((-1)/(-2))/(1/(-12)). Let k = w - 6. Let t = -7 - k. What are the prime factors of t?
5
Let g(m) = m**3 + 5*m**2 + 4*m + 4. Let d be g(-4). Suppose -d*z = -a + 6*a - 144, 0 = 2*a. List the prime factors of z.
2, 3
Let z = 209 - 39. List the prime factors of z.
2, 5, 17
Suppose -2*j - 4*c + 5 = -61, 4*c = -4*j + 120. List the prime factors of j.
3
Let n = -5 + 9. Suppose 5*p + 3*u - 42 = 33, 60 = n*p + 2*u. List the prime factors of p.
3, 5
Suppose 3*m = -4 - 11. What are the prime factors of m/((-20)/(-12)) - -7?
2
Let q = -8 + 34. What are the prime factors of 1/(-3) + q/6?
2
Let r = -87 - -160. List the prime factors of r.
73
Suppose 110 + 46 = 4*r. Let s be r*(2/(-6))/(-1). Suppose 5*k - 17 = 4*p + s, -2*p = -3*k + 20. List the prime factors of k.
2, 5
Let p = 134 - -14. List the prime factors of p.
2, 37
What are the prime factors of (-1661)/(-99) + 4/18?
17
Suppose 0*g + 4*g = 16. Let p be (-2 - 0)*(-10)/g. Suppose 0 = -2*a, 2*l - 2*a = p + 3. List the prime factors of l.
2
Suppose -2*g = 4*i - 163 + 31, -5*g = 10. What are the prime factors of i?
2, 17
Let b(l) = 10*l - 3. List the prime factors of b(6).
3, 19
Let g = 490 - 284. What are the prime factors of g?
2, 103
Let l(i) = 2*i + 8. Let f be l(-8). Let w = 5 + f. What are the prime factors of (-3)/(w/2) - -10?
2, 3
Suppose 0*n = -4*n + 4*s + 120, -2*s = 4*n - 108. What are the prime factors of n?
2, 7
Suppose -q + 29 = -3*n, -4*n + 9 + 39 = 3*q. What are the prime factors of q?
2, 5
Let i = 15 + -11. Let o = -1 + i. Suppose -4*p = k - 49, -o*p + 12 = -5*k - 19. List the prime factors of p.
2, 3
Suppose 56 = -6*b + 8*b. List the prime factors of b.
2, 7
Let c be 36/15*(7 - 2). Suppose f + c = 2*f. List the prime factors of f.
2, 3
Suppose 3*j - 111 = s, -3*s + 42 = j - 5*s. What are the prime factors of j?
2, 3
List the prime factors of (4 - 0) + (245 - 1) + -1.
13, 19
Suppose -2*l = -0*l - 30. Let o(u) = u - 2. Let g be o(-2). Let s = l + g. List the prime factors of s.
11
Suppose 0 = 2*y - 3*y. Suppose y = -3*i - i. Let z = 9 + i. List the prime factors of z.
3
Let j = 215 + -103. What are the prime factors of j?
2, 7
Let y(g) = -2*g + 4. Let h be y(-6). Let w = h + -10. List the prime factors of w.
2, 3
Suppose -4*v = -10*v + 414. What are the prime factors of v?
3, 23
Let p be (-9)/(-21) - (-2136)/14. Let o = p + -99. What are the prime factors of o?
2, 3
Suppose 13 = a - 2*j, 5*a = 3*j + 23 + 7. Suppose -a*y + 4 = -8. List the prime factors of y.
2
Let u = -55 + 59. What are the prime factors of u?
2
Let r be (-2)/4 + 38/4. Let c = r - 4. Suppose 0 = 3*s + o - 35, s + s - 12 = c*o. What are the prime factors of s?
11
Let i be 6 - (2 - (-3)/(-3)). Suppose 0 = 2*z - 4*j + 4, -z + j - 10 = -i*z. What are the prime factors of (z - (5 - 2))*-11?
11
Suppose -5*i + 3*a - 2*a = -295, 5*a = -25. Let d = i + -32. What are the prime factors of d?
2, 13
Let d = 45 - 29. Suppose -6 = -2*b + d. What are the prime factors of b?
11
Let m = 25 - 17. What are the prime factors of m?
2
List the prime factors of 33/((-1)/2*-2).
3, 11
Let w = 147 - 67. What are the prime factors of w?
2, 5
Let z(v) = v + 1. Let a be z(0). Suppose y = a + 3. What are the prime factors of y?
2
What are the prime factors of 144 - 2/((-10)/25)?
149
List the prime factors of 2 - ((-1 - 25) + 4).
2, 3
Suppose 0 = -5*i + i + 256. What are the prime factors of i?
2
Suppose 0 = -w - 12 + 12. Let t be -1*(-5)/2*2. Suppose -t*n + 55 = -w*n. What are the prime factors of n?
11
Suppose 3*a + 240 = 3*k, 4*k + k = -4*a + 355. List the prime factors of k.
3, 5
Let n be (-304)/(-14) + 2/7. Suppose 2*u + n = -2. Let a = 28 + u. List the prime factors of a.
2
Let m(l) = l + 8 - 3 - 2*l. Let v be m(5). Suppose -3*x + 4*g + 17 = v, 0*x = x - 3*g + 1. List the prime factors of x.
11
Suppose 0*g = -4*g + 3*k + 221, -5*g + 284 = 4*k. Suppose -2*j + 2*z - 4*z - 26 = 0, 0 = -4*j - 5*z - g. Let l = -3 - j. What are the prime factors of l?
2, 3
Suppose -4*y + 28 = 6*m - m, -5*y + 26 = 4*m. Suppose -m = -s + 12. List the prime factors of s.
2
Let w(u) be the first derivative of -u**4/4 - u**3/3 + u**2/2 + 10*u + 1. What are the prime factors of w(0)?
2, 5
Suppose -12 = 3*x, -5*z - 4*x - 3 = -2. Suppose -6*m = -11*m + 4*y + 134, 0 = -4*m - z*y + 101. List the prime factors of m.
2, 13
Let a(t) be the second derivative of -3*t**5/10 - t**4/6 - t**3/3 - t**2/2 - 6*t. List the prime factors of a(-1).
5
Suppose -u - 2*h - 5 = -13, -9 = -3*u - h. Suppose 2*q - 33 = 5*j, -27 = -2*q + j - u*j. List the prime factors of q.
2, 7
Let u = 48 + -35. List the prime factors of u.
13
Let l be (-6*7)/(9/(-12)). Suppose 4*y - 4*f = 77 + 7, 0 = -4*y - 3*f + l. What are the prime factors of y?
17
Suppose -9 - 15 = 3*l. What are the prime factors of (-102)/l + (-3)/(-12)?
13
Suppose -2*l = l. Let z(c) be the first derivative of -c**3/3 - c**2/2 + 2*c - 1. What are the prime factors of z(l)?
2
Suppose -5*d + 20 = -0*d. Suppose 0 = g - d*w + 17, 0*g - w + 20 = -g. Let l = -7 - g. What are the prime factors of l?
2, 7
Let v(t) = -18*t**3 - t**2 - 7*t - 5. Let r(s) = -37*s**3 - 2*s**2 - 15*s - 11. Let x(w) = 6*r(w) - 13*v(w). What are the prime factors of x(1)?
13
Suppose -9*y + 25 = -4*y. List the prime factors of y.
5
Let j(a) = 15*a**2 + 6*a - 3. What are the prime factors of j(4)?
3, 29
Suppose k + 210 = 6*k. What are the prime factors of k?
2, 3, 7
Let l(a) = 24*a - 2. What are the prime factors of l(5)?
2, 59
Let g(d) = -d**3 + 4*d**2 - d + 2. Let t be g(3). Suppose -t*q + 32 = -6*q. Let p = q + -10. List the prime factors of p.
2, 3
Let u = -8 - -11. Suppose -2*v + 3*r + 50 + 22 = 0, -3*r = 0. Suppose -u*m + v = 6. List the prime factors of m.
2, 5
Suppose -1679 = -4*z - 555. List the prime factors of z.
281
Suppose 2*y - y - 1 = -n, 5*n + 2*y = 11. Suppose k + 58 = n*o, -4*o + 3*k + 69 = -0*o. What are the prime factors of o?
3, 7
Suppose -5*q + q + 168 = 0. What are the prime factors of q?
2, 3, 7
Suppose -2 = 3*m - 14. Suppose 0*v + 12 = m*v. Suppose -v*b + 4 + 5 = 0. What are the prime factors of b?
3
Suppose -4*k + 77 = 5. What are the prime factors of k?
2, 3
Suppose 4*x - 1 = 11. Suppose 2*d - 13 = -2*f + x*d, -5*d = f + 21. Suppose 4*p - o = 71, 0 = -f*p + 3*o + 117 - 40. Li | {
"pile_set_name": "DM Mathematics"
} |
mmon factor of o and 56.
14
Suppose -28 = -z - 6*z. What is the greatest common factor of 3 and z?
1
Suppose 0 = 3*s - 7 - 50. Let f = 51 - s. Calculate the highest common factor of f and 16.
16
Let a = 46 + -13. Let z(q) = -q**3 + 4*q**2 + 25*q - 17. Let f be z(7). Calculate the highest common divisor of f and a.
11
Let r be (-28)/10 + (-2)/10. Let z be 0 - 57 - 1/(-1). Let q be r + z/(-2) + -1. What is the highest common factor of 16 and q?
8
Let a be -4 - ((-39)/26)/(1/4). What is the highest common factor of a and 224?
2
Let u(p) = 29*p + 468. Let r be u(-12). What is the greatest common factor of r and 1140?
60
Let z = -66 + 66. Suppose -5*i + 12 = c, z = -2*i - 0*c + 4*c + 18. Calculate the greatest common factor of i and 3.
3
Suppose -200 = 62*f - 758. Calculate the greatest common divisor of 333 and f.
9
Let m = -37 - -152. Let a = -24 - -55. Let d = -8 + a. What is the greatest common factor of m and d?
23
Let m = 573 + -517. Let z = -34 + 174. Calculate the greatest common factor of m and z.
28
Let y = 266 + -255. Suppose -m - 2*d - 119 = -2*m, 607 = 5*m + 2*d. What is the greatest common divisor of y and m?
11
Let m = -216 + 219. What is the greatest common factor of m and 11?
1
Let c = 2769 + -9077. Let j be 4/(-14) - c/28. Calculate the greatest common divisor of 25 and j.
25
Let q be 4*((-5)/5 + 2). Suppose 0 = -q*p + p - 2*t + 773, 0 = 5*p + 2*t - 1295. Calculate the greatest common divisor of p and 29.
29
Let d(p) = 2*p**2 - 26*p + 1. Let r be d(14). Calculate the highest common divisor of r and 1247.
29
Let i(u) = 8*u + 168. Let m be i(-19). What is the greatest common divisor of m and 64?
16
Suppose -15 = -5*x - 2*k, 7 = 3*x - 2*k - 2. Suppose -4*z + x*z = -42. Suppose 0 = -4*g - z + 258. Calculate the highest common divisor of 18 and g.
18
Let z(l) = -l + 1. Let v be z(-4). Suppose -5*q = -4*q - 5. Suppose -421 + 146 = -q*j. Calculate the greatest common factor of v and j.
5
Suppose 2*g + 1528 = 4*n, 2*n - 3*g - 216 - 544 = 0. Suppose 2*v - 113 = n. Calculate the greatest common divisor of 31 and v.
31
Suppose -l = 4*x + 8 + 1, x - 4*l = 2. Let v(c) = 8*c**2 - 2*c - 8. Let n be v(x). What is the greatest common factor of 224 and n?
28
Suppose -2*j = -6*h + 2*h - 20, 4*h = -2*j + 52. What is the greatest common factor of 96 and j?
6
Let v be (1 - 3 - 6)*3. Let x be 64/v + 2/(-6). Let o be x/9 + 50/6. What is the greatest common divisor of 24 and o?
8
Suppose -4*w - 3*j + 187 = -276, -w - 2*j + 122 = 0. What is the greatest common factor of 14 and w?
14
Let m = 242 - 236. Let k = -22 - -46. Calculate the greatest common factor of k and m.
6
Suppose 190*w - 1120 = 186*w. Calculate the highest common divisor of 84 and w.
28
Suppose 6*i - 237 = -87. What is the greatest common factor of 5 and i?
5
Suppose 5*c - 11 = 19. What is the greatest common factor of 17 and c?
1
Let s(t) = -t**3 + 11*t**2 - 9*t - 4. Let m be 78/8 + (-1)/(-4). Let x be s(m). Suppose -x*a + 63 = -3*a. Calculate the greatest common factor of a and 7.
7
Suppose -433*p + 429*p = -16. Calculate the highest common factor of p and 1.
1
Suppose -1000 + 64 = -12*n. What is the highest common factor of n and 182?
26
Let p = -22 + 44. Suppose 0 = 24*w - p*w - 52. What is the highest common divisor of 52 and w?
26
Let q(m) be the first derivative of m**3/3 + m**2 + 2*m - 6. Let c be q(0). Suppose 21 = h + c*h. What is the greatest common factor of h and 7?
7
Let x(i) = 2*i**2 + 20*i - 522. Let n be x(-37). What is the highest common divisor of n and 41?
41
Let t be (1/(-1) - 3) + 1. Let z = 0 - t. Let b = 0 - -1. Calculate the greatest common divisor of z and b.
1
Let h = 7 + 0. Suppose w + 697 = 4*b, 4*b - 508 - 204 = -4*w. What is the highest common factor of h and b?
7
Let k(u) = 89*u - 101. Let v be k(16). What is the highest common factor of 21 and v?
21
Let n be 4/(-8)*(-2 + 72/(-4)). Suppose -5*y + 13 = 3*l, -3*l - 3*y = l - n. Calculate the greatest common factor of 1 and l.
1
Suppose 3*v = 2*y - 563, -v + 575 = 78*y - 76*y. Calculate the highest common factor of y and 44.
22
Suppose -24*p = -23*p - 20. Suppose -3*d + 3 = i - 54, i = 0. Suppose -d - 33 = -5*k - b, -k = -5*b. Calculate the greatest common factor of p and k.
10
Suppose 0 = -29*q - 69*q + 139650. Calculate the greatest common divisor of 190 and q.
95
Suppose 32*r + 3125 = 58069. Calculate the highest common divisor of r and 17.
17
Let r be ((-28)/(-10))/(2/170). What is the highest common factor of r and 70?
14
Suppose -j = -4*j - 4*y - 97, -3*j + 2*y - 91 = 0. Let k = 38 + j. Calculate the highest common divisor of 28 and k.
7
Let q(w) = w**3 + 5*w**2 + 2*w - 1. Let j be q(-3). Suppose 0 = j*l - 12*l + 6. Calculate the greatest common divisor of 48 and l.
6
Let z be 530/318 + 1/3. Let h be (-4)/14 + 44/7. Let t(n) = 2*n - 8. Let c be t(h). What is the greatest common factor of c and z?
2
Let c(i) be the second derivative of -i**4/6 + 19*i**3/6 - 6*i**2 + 10*i. Let u be c(8). What is the highest common divisor of u and 48?
12
Suppose 0 = -5*h + 2*p + 6, h - 4*p - 7 = 5. Suppose h = 3*i - 4*i + 162. What is the highest common divisor of i and 18?
18
Let b be (-81)/(-2) - (-5)/50*-5. What is the greatest common divisor of 16 and b?
8
Suppose -948 = 16*c - 22*c. Calculate the greatest common factor of 711 and c.
79
Let u be (-33)/(-5)*((-21)/91 + 417/117). Let i(a) = 32*a + 2. Let v be i(4). Let g = -75 + v. Calculate the greatest common factor of g and u.
11
Let q(s) = -2*s**2 - 22*s + 24. Let g be q(-12). Suppose -3*k + 12 = g, -3*k + 13 = h - 2*k. Calculate the greatest common factor of h and 15.
3
Suppose -4*s = 3*o - 1546, o - 490 = -0*o + 5*s. What is the highest common divisor of o and 30?
30
Let n = -825 - -905. Calculate the highest common factor of 15 and n.
5
Suppose -5*b = -0*b - 825. Let q = b + -81. Let i = -10 - -22. Calculate the greatest common divisor of q and i.
12
Let f(q) = q + 41. Let g be f(-13). Calculate the greatest common divisor of g and 266.
14
Suppose 3*g = -3*s + 195, g + g = 4*s - 278. Let o = -1538 + 1542. What is the greatest common factor of o and s?
4
Suppose -4*o = 15*o - 28*o + 144. Let d = -4 - -6. What is the highest common divisor of d and o?
2
Let r(j) = 4*j**3 + 7*j - 3 - 3*j**2 - 3*j + 1. Let m be r(2). Let k = 1269 - 1204. What is the highest common factor of m and k?
13
Let b = -21 - -33. Suppose -44 = -4*x - 3*p, 7 = 3*x - p - 13. What is the highest common divisor of x and b?
4
Suppose 5*t - 4*u = 2513, 13*t - 15*t + 5*u = -995. What is the highest common factor of 5 and t?
5
Suppose 0 = -r - 0*r + 2. Suppose 24 = 5*o - r*o. Let v be (-102)/(-2)*o/6. What is the highest common divisor of 17 and v?
17
Let t(y) = y**2 + 3*y - 30. Let d be t(-10). What is the highest common divisor of 520 and d?
40
Suppose -7*u - 1276 = -3*u. Let c = u - -506. Let t be (-102)/(-4)*(-2)/(-3). Calculate the greatest common factor of t and c.
17
Let c(m) be the first derivative of -1/3*m**3 + 84*m + 4 - 1/2*m**2. Let v be c(0). What is the highest common divisor of 21 and v?
21
Let y be 1*(-4 + 3) - -183. Suppose 7*j - 308 = y. What is the highest common factor of j and 10?
10
Suppose 2*r = -5*f + 63, -2*r + f = -75 + 6. Calculate the highest common divisor of 68 and r.
34
Suppose 1355 = 11*o - 1318. Calculate the greatest common divisor of 27 and o.
27
Let y(n) = -6*n - 2. Let u be y(-5). What is the highest common factor of u and 7?
7
Suppose -27 = -2*d + 9. Let b = d - 10. What is the greatest common divisor of b and 16?
8
Let h = -265 - -273. What is the highest common divisor of 34 and h?
2
Let c(d) = -5*d - 3. Let p be c(-5). Suppose 2*z - p - 44 = 0. Calculate the highest common factor of 66 and z.
33
Let c be 27/(-18) - (-778)/4. Suppose -194*d + 22 = -c*d. Suppose 4*h - 320 + 100 = 0. Calculate the highest common factor of d and h.
11
Let p(f) be the second derivative of f**4/12 - f**3/6 - 3*f. Let z be p(5). Let j be (-6)/(-9) - 52/(-12). Calculate the greatest common factor of z and j.
5
Let a = -80 - -168. Let k = a - 71. Calculate the highest common factor of k and 17.
17
Suppose -j - 6*j + 1400 = 0. Let p be 33*(j/6)/2. Suppose -b - 4*b + p = 0. What is the highest common divisor of 10 and b?
10
Suppose 2*n + 3304 = 3*f, n = -4*f + 5*n + 4408. Suppose -11*z | {
"pile_set_name": "DM Mathematics"
} |
ps?
-0.00006
Let b = 2285811 - 1311595. Suppose 6*o - 2*o - 4*i - b = 0, 4*o = -4*i + 974216. Suppose 4*y + o = -200446. What is y rounded to the nearest 10000?
-110000
Let o = -1120 + 1590. Round o to the nearest 100.
500
Let z = 59.4 + -59.911. What is z rounded to two decimal places?
-0.51
Let m = 0.14052253 + -193.14153253. Let g = 0.123 + -193.123. Let b = g - m. What is b rounded to 4 dps?
0.001
Suppose -g = 5*p - 17, -2*p + 4 = -0*g - g. Let i(n) = 6*n + 60*n**2 + 76*n**g - 12*n**2. Let v be i(6). Round v to the nearest one thousand.
5000
Let r = -0.35760532 - -35.35763432. Let w = r + -35. What is w rounded to five dps?
0.00003
Let j(x) = -x**2 - 6*x - 5. Let v be j(-5). Let z(f) = f**2 - 44. Let t be z(v). What is t rounded to the nearest 10?
-40
Let k = -2.04 - -0.04. Let w = -1.9 - k. Let q = w + 0.1. What is q rounded to the nearest integer?
0
Suppose 2*m = -m + 4800. What is m rounded to the nearest one thousand?
2000
Suppose -19223 = 8*c + 33977. Round c to the nearest one thousand.
-7000
Let y = 22906.021 + -22769. Let s = y - 0.021. Let o = -136.919 + s. Round o to 2 dps.
0.08
Let w = -9.4 + -44.6. Let m = 53.99999922 + w. Round m to 7 dps.
-0.0000008
Let s = 0.26 + -0.244. Round s to 2 dps.
0.02
Let l = -109 + 110.32. Round l to 1 dp.
1.3
Let x = -11 + 14. Suppose -5*g - 379995 = 2*d, -2*d = x*g - 2*g + 379999. What is d rounded to the nearest one hundred thousand?
-200000
Let b = 59.5971461 + -59.85714. Let i = b - -0.26. Round i to 6 dps.
0.000006
Let u = 350873 - 670873. What is u rounded to the nearest one hundred thousand?
-300000
Let v = 429.99533 + -430. Round v to three dps.
-0.005
Let i = 0.26 - -17.14. Let l = i + -3.6. Round l to zero decimal places.
14
Let c = -10.9 + 3. Let z = 7.90132 + c. What is z rounded to four decimal places?
0.0013
Suppose -4*o - 5200016 = 4*w, -3*w = 2*w + o + 6500004. What is w rounded to the nearest one million?
-1000000
Let z = -0.0099955 + 0.01. Round z to six dps.
0.000005
Let a = -36 - -35.612. Let v = 0.249 + a. Round v to two decimal places.
-0.14
Suppose 59*f = 62*f - 498. Round f to the nearest one hundred.
200
Let h = 9439726 - 14759726. Round h to the nearest 1000000.
-5000000
Let j = 14.25393 - 14.144. Let n = 7.85907 + j. Let h = -8 + n. Round h to 2 dps.
-0.03
Let d = -0.618 + 0.34. What is d rounded to 2 dps?
-0.28
Let b(a) be the third derivative of 1561*a**4/24 - a**2. Let c be b(1). Let r = c - 35561. Round r to the nearest 10000.
-30000
Let n(r) = 4066677*r + 31. Let p be n(-3). What is p rounded to the nearest one million?
-12000000
Let n = -1.6 - -1.4. Let b = 0.229 + n. Round b to two decimal places.
0.03
Let d = 28 - 28.55. Let q = 0.05 - d. Let l = q + -0.5988. Round l to three decimal places.
0.001
Let i = 139226438.999957 - 139226496. Let s = -63 + 120. Let p = s + i. Round p to five dps.
-0.00004
Let v = -48.63 - -49. What is v rounded to one dp?
0.4
Let y = 1.58 - 1.377. Let v = -1.5704 - -20.1674. Let k = v + y. Round k to zero dps.
19
Let g = -7 - -12. Suppose -g*k + 328 = -k. What is k rounded to the nearest ten?
80
Let f(a) = 583335*a - 10. Let i be f(6). Round i to the nearest one million.
4000000
Suppose -94200 = 2*g - 8*g. What is g rounded to the nearest one thousand?
16000
Let z = 0.62 + -0.5. Let m = -50.68 + 50.80007. Let g = z - m. What is g rounded to 4 decimal places?
-0.0001
Suppose 3*v + 2729996 = -2*r, -3*r = -0*v - v - 910006. Round v to the nearest 100000.
-900000
Let b be (60/50)/(3/10). Let a(y) = -4*y + 1. Let g be a(b). Round g to the nearest integer.
-15
Let x = -11338882556.00000202 + 11338882450. Let t = x + 106. What is t rounded to 7 dps?
-0.000002
Let t(r) = r**3 - 15*r**2 + 10*r + 14. Suppose 3*j - 48 = d, 2*d = 4*j - 51 - 13. Let i be t(j). Round i to the nearest one hundred.
400
Let x = -1.24 - -68.24. Let v = x - 172. Let g = v + 104.99999829. Round g to 7 decimal places.
-0.0000017
Let b = 0.62902 - 0.63. Round b to 4 decimal places.
-0.001
Suppose 5*i - 48 = -8. Suppose 3*v = 3*p - 1259988, -5*p - 1259984 = -i*p + 4*v. What is p rounded to the nearest 100000?
400000
Suppose 0 = 3*x - 939971 + 3909971. Round x to the nearest 100000.
-1000000
Let c = 0.80000036 + -0.8. What is c rounded to seven dps?
0.0000004
Let c = 233.9449 - 224.946. Let b = -9 + c. Round b to four dps.
-0.0011
Let q = -154220 + 218220. What is q rounded to the nearest 10000?
60000
Let p(u) = 3300000*u. Let c be p(-5). Round c to the nearest one million.
-17000000
Let r = 6 - 9. Let l = r + 3. Suppose -2*x = -l*x - 5*y - 16, y = x - 5. Round x to the nearest ten.
0
Suppose -3*h + 2*a - 5*a = 729012, -728992 = 3*h - 2*a. What is h rounded to the nearest ten thousand?
-240000
Let q = 0.07 + -0.04. Let j = q + -0.02999994. Round j to seven dps.
0.0000001
Let a(l) = -2840*l**3 - 18*l**2 + 10*l - 8. Let m be a(12). What is m rounded to the nearest 100000?
-4900000
Suppose 0 = -6*c + 4*c + 3*f - 371, -c + 3*f - 181 = 0. Round c to the nearest 100.
-200
Let i(j) be the first derivative of -77*j**2/2 - 8*j - 2. Let r be i(6). What is r rounded to the nearest one hundred?
-500
Let p = -61.0018 + 61. What is p rounded to three dps?
-0.002
Suppose -7*m - 3*m = 209000. What is m rounded to the nearest ten thousand?
-20000
Let v = -19.71 + 20. Let m = v - 0.2968. What is m rounded to 3 dps?
-0.007
Let d = -4495 + 27995. Round d to the nearest 1000.
24000
Let q = -3.95 + 4. Let a = 0.0500001 - q. Round a to seven decimal places.
0.0000001
Suppose 4*u + 4650008 = -5*i, -u + 5*u = 3*i + 2789992. Round i to the nearest 100000.
-900000
Suppose 19 = 2*x + 4*f - 3*f, 0 = -4*x - 3*f + 41. Round x to the nearest ten.
10
Let y = -65 - -116. Let q = -34 + y. Let n = -13.9 + q. What is n rounded to the nearest integer?
3
Let j = 16.79982 + -16.8. What is j rounded to four decimal places?
-0.0002
Let z = 1.707 - -0.003. What is z rounded to 1 dp?
1.7
Let o = 461 + -461.000000782. Round o to 7 dps.
-0.0000008
Let m(x) = -x**3 + 4*x**2 - x - 6. Let v be m(3). What is v rounded to the nearest 1000000?
0
Let b = -32 + 31.999963. Round b to five decimal places.
-0.00004
Suppose 2*r + a - 526 = 572, 2*r + 2*a = 1096. Suppose r = l + 4*k, -k - 101 = 4*l - 2376. Round l to the nearest one hundred.
600
Let p(w) = -w**3 + 3*w**2 + 5*w - 5. Let s be p(4). Let o = s + 1. Let c be -4 + 3 - (689999 - o). What is c rounded to the nearest one hundred thousand?
-700000
Let v = 332422.586 - 332502.5859931. Let s = -80 - v. Round s to six dps.
-0.000007
Suppose w + 6*w + 854000 = 0. What is w rounded to the nearest 10000?
-120000
Suppose -3*x + 79 = -s - 8, x = 2*s + 189. Let h be ((-25)/20)/(2/s). What is h rounded to the nearest 10?
60
Let a = 1844405916697 + -1844406407573.9700027. Let h = a + 490877. Let u = 0.03 - h. What is u rounded to 6 decimal places?
0.000003
Suppose -2*h + 3 = -h. Suppose -h*p + 0*p + 4*y = 1368, -p - 475 = 5*y. What is p rounded to the nearest 100?
-500
Let q = -261 - -284.6. Let g = q + -27. Round g to zero dps.
-3
Let j = -58.8 + 47. Let k = 8.6 + -1.6. Let w = j + k. What is w rounded to the nearest integer?
-5
Let m = 3 + -2.98. Let w = 0.095 - m. Round w to 2 dps.
0.08
Let l(q) = -q. Let c be l(-2). Suppose -c*b = -2*p + 1519994, 3*b = 4*b - 3. What is p rounded to the nearest 100000?
800000
Suppose -3*w - 239 = -t, -4 = -2*t + 6. What is w rounded to the nearest 10?
-80
Let r = 78.01 - 77. Let j = 161490.99049 - 161492. Let l = j + r. Round l to 4 dps.
0.0005
Let n = -9882496 - -5529378. Let g = n + -3507451. Let r = 2860569 + g. Round r to the nearest 1000000.
-5000000
Let n = 1.28 - -0.02. Let h = 37.7 + n. Let c = 39.00000037 - h. Round c to seven dps.
0.0000004
Let y = 2 + -6. Let u = -4.148 - y. Round u to two dps.
-0.15
Let q(z) = 293*z**3 + z**2 - 9*z - 8. Let w be 3/(((-6)/(-16))/1). Let t be q(w). Round t to the nearest 100000.
200000
Let w = -0.04 - -2.71. Round w to 1 dp.
2.7
Let r = -112.4 + 123. What is r rounded to zero decimal places?
11
Let t = -93 + 65. Let g be (-1 + 3)/((-12)/318). Let i = t - g. Round i to the nearest 10.
30
Let p = 1 + 27. Let a = p + -28.0000088. What is a rounded to 6 decimal places?
-0.000009
Let d = -0.51 - 28.49. Let c = d - -28.999971. What is c rounded to 5 decimal places?
-0.00003
Let p = 1.79 + -2.047. Let a = -36.84 | {
"pile_set_name": "DM Mathematics"
} |
re the prime factors of (15/(-3))/(-1) + g?
5
Let l be (((-6)/2)/(-3))/1. What are the prime factors of (-2 - l) + 26 + -6?
17
Let n(o) = 6*o + 78*o**2 + 3*o - 85*o**2 + o**3 - 9. Let l(x) = -x**3 + 3*x**2 + 5*x + 2. Let s be l(4). List the prime factors of n(s).
3
Let j(a) = -2*a**2 + 13*a + 11. What are the prime factors of j(7)?
2
Suppose 0 = -2*k - 0*k - 3*z + 188, -449 = -5*k + 3*z. List the prime factors of k.
7, 13
Suppose 7*f - 136 = 3*f. List the prime factors of f.
2, 17
Suppose -3*k + 32 = -13. Let j = k + 10. Suppose 2*r = 4*i - 32, -r + 0 = -3*i + j. What are the prime factors of i?
3
Let u be (-1)/(-5) + 276/(-30). List the prime factors of ((-24)/u)/((-10)/(-105)).
2, 7
Let t(y) = y**2 + 3*y + 2. Let h be t(-3). Suppose g - 14 = -h. List the prime factors of g.
2, 3
Let k(f) = 3*f + 1. Let c be k(3). Suppose 0 = -2*b - 3*b + c. What are the prime factors of b?
2
Let a(m) = -7*m + 3. Let l be a(2). Let k(d) = 6*d - 4. Let u be k(2). List the prime factors of l/(-2) + (-4)/u.
5
Suppose 0 = -3*z - 2*r + 55, 90 - 9 = 4*z - 5*r. List the prime factors of z.
19
Let n(b) be the second derivative of b**3/6 + 3*b**2 - 6*b. List the prime factors of n(6).
2, 3
Let l(b) = -3*b + 76. What are the prime factors of l(21)?
13
Let c(y) = -y. Let u(i) = -i**2 + 5*i - 16. Let m(r) = -6*c(r) - u(r). List the prime factors of m(0).
2
Let t(r) = -r**3 + 5*r**2 - 3*r - 2. Let a be -1*(-15)/3 - 1. Let o be t(a). What are the prime factors of 3 + -2 + (o - 1)?
2
Let g(x) = -3*x + 2. Let u(b) = b**2 + 6*b + 2. Let k be u(-5). List the prime factors of g(k).
11
Let r(x) be the first derivative of -x**3/3 + 8*x**2 - 7*x - 3. List the prime factors of r(12).
41
Let q be (32/6)/4*-3. List the prime factors of 2/8 + (-43)/q.
11
Let q be (-26)/(-8) + (-1)/4. Suppose 0 = d + 4 + q. Let w = d - -15. What are the prime factors of w?
2
Let u = 0 - -9. Let s = u - 4. List the prime factors of s.
5
Let y(b) = -3*b**2 + b. Let v be y(-3). Let g = v - -51. What are the prime factors of g?
3, 7
Let b = 80 - -76. Let z be (2 - (1 - 0))*2. What are the prime factors of z/(-5) - b/(-15)?
2, 5
Let s = -18 - -32. Suppose -z + 2*z = 3*k - 8, k + 4 = 2*z. List the prime factors of (-48)/(-21) - z/s.
2
Let s(t) = -2*t - 6. Let m be s(-4). Suppose m*w - 1 = 5. What are the prime factors of 5 - w*2/2?
2
List the prime factors of (7/2)/(10/40).
2, 7
List the prime factors of (-14)/(-6)*(15 - 6).
3, 7
Let n = -13 - 11. Let s = -17 - n. What are the prime factors of s?
7
Suppose 4*z = -4*d + 920, -2*d - 20 + 16 = 0. List the prime factors of z.
2, 29
Suppose d - 3*d + 88 = 0. What are the prime factors of d?
2, 11
Let z(j) = j**3 - 8*j**2 + 2*j - 7. Suppose 11 = 3*w - 13. List the prime factors of z(w).
3
Suppose 4*q = -4*c, 2*q = -q + 5*c + 16. Suppose -3*r + 260 = q*r. List the prime factors of r.
2, 13
Let l be (-2 - 21)/(2 - 3). Suppose -4*b = -2*r, 3*b - 4*b + 2*r = 0. Suppose b = -4*o + l + 25. What are the prime factors of o?
2, 3
Let m(a) = -a**3 + 3*a**2 + 4*a + 2. Let g be m(4). Suppose z = g*z. Suppose -4*u + 4 + 44 = z. What are the prime factors of u?
2, 3
Let y(w) be the third derivative of 1/8*w**4 + w**2 + 0*w + 0 + 2/3*w**3. List the prime factors of y(3).
13
Let j(k) = k**3 + 6*k**2 - 5*k + 9. List the prime factors of j(-5).
59
Let p = 186 - 272. Let b = 168 + p. Suppose 2*s + 4 = d - 2, 3*s = -5*d + b. What are the prime factors of d?
2, 7
Let t = 1 + 1. Suppose t*r = 6*r - 48. List the prime factors of r.
2, 3
Suppose -176 = -2*h + x - 13, h = 3*x + 89. List the prime factors of h.
2, 5
Suppose -5*v + 22 = -3. Suppose -4*u - v*b + 3 = 0, -6*b - 12 = -4*u - 2*b. Suppose -18 = -u*p - d, -3*d - 6 = -p - 5*d. List the prime factors of p.
2, 5
Suppose 5*x = 4*x - 5*s - 1, -3*x - 3 = -4*s. List the prime factors of (x - -2)*1 + 7.
2
Suppose 0 = -6*y + 5*y + 11. What are the prime factors of y?
11
List the prime factors of (1/2*0 - -1)*90.
2, 3, 5
Let q = 50 + 25. What are the prime factors of q?
3, 5
Let l(x) = -x**2 + 11*x - 13. Let z(g) = -2*g + 3. Let o be z(-4). Let b be l(o). Let y = -8 - b. List the prime factors of y.
5
Let i(q) = 2*q - 2. Let u be i(7). Let j = 24 - u. What are the prime factors of j?
2, 3
Let r = 2 + 0. Suppose -r*d = 6*j - j + 115, j - 2*d + 23 = 0. Let i = j - -32. What are the prime factors of i?
3
Let p = -11 - -7. Let n = p - -7. Suppose -f + 6 + n = 0. List the prime factors of f.
3
Suppose -347 = -5*j - 132. List the prime factors of j.
43
List the prime factors of -3 - (-3 + -128 - 0).
2
Let c = -20 - -14. What are the prime factors of (34/(-3))/(4/c)?
17
What are the prime factors of (-48)/(-216) - 1807/(-9)?
3, 67
Suppose 0 = 4*u + 24 + 32. Let w be 3*(u/6 + 1). Let o = w - -7. What are the prime factors of o?
3
Let h(z) = -z**3 + 8*z**2 - 8*z + 10. Let y be h(7). Suppose -48 = -4*r - y*f, r = 2*r - f - 19. List the prime factors of r.
3, 5
Suppose -t + 12 = 2*t + 3*o, 2*t - 4*o + 4 = 0. Suppose -2*d - 2*c - 82 = 0, 4*d - 4*c = t*d - 106. What are the prime factors of ((-2)/((-6)/d))/(-1)?
3, 5
Let m = 115 - 58. Suppose -4*u - 8 = -4*j, 2*j - 25 = u - 6*u. Suppose j*q - 28 = m. List the prime factors of q.
17
Let j(f) = -48*f**2 + 1. Let p be j(1). Let d = 73 + p. List the prime factors of d.
2, 13
Let g = -21 + 65. List the prime factors of g.
2, 11
Let j = -1 + 6. Suppose j = k - 4. List the prime factors of k.
3
Suppose -5*c - 25 + 0 = 0, 75 = 5*l - 2*c. List the prime factors of l.
13
Let k = -15 - -21. What are the prime factors of (k/(-9))/(6/(-81))?
3
Suppose -2*r + 5*f - 8 = -4*r, 3*f = 0. Suppose 0 = r*q - 7 - 1. Suppose -s + 13 = q*j, s + 4*s - j = 76. List the prime factors of s.
3, 5
Suppose 4*u = 5*x - 2 + 3, 2*x + 6 = -4*u. Let n = u - -1. Suppose n = 4*m - 34 + 10. List the prime factors of m.
2, 3
Let k = 35 - 19. Suppose 0 = -4*q - 6*u + 2*u - 4, 0 = -q - 4*u - k. Suppose q = 5*t - 6. What are the prime factors of t?
2
Let o(q) = q**2 + 3*q + 1. Let g be o(-4). Suppose -g*h - 39 = 2*b, 3*b + 52 = -h - 13. Let n = b + 32. List the prime factors of n.
2, 5
Let n(k) = k**3 - 7*k**2 - 9*k + 24. What are the prime factors of n(10)?
2, 3, 13
Let a be (-7)/(-2)*(-4)/2. Let m(v) = -v - 3. What are the prime factors of m(a)?
2
Let q = -8 + 4. Let b be (-2)/4 - (-526)/q. What are the prime factors of b/(-21) + (-2)/7?
2, 3
Let m(z) = -z**3 - 6*z**2 + 6*z - 5. Let y = 24 + -6. Let f be -21*3*2/y. What are the prime factors of m(f)?
2
Suppose -5*x + 5*o = 0, 2*x + 3 - 23 = -3*o. Suppose x*k + 0 = 4. List the prime factors of (-3)/k - -1 - -14.
2, 3
Let q = 8 - 10. List the prime factors of 6/9*36 - q.
2, 13
Suppose -4*p = -3*u + 86, -4*u + p + 0*p + 106 = 0. Suppose -3*c - 2*d = -2*c - 6, 2*c - 3*d = u. List the prime factors of c.
2, 5
Let m = -164 + 271. What are the prime factors of m?
107
Suppose -5*r + r + 4 = 0. Let n(m) = r - m**2 - 6 - 10*m + 3*m. List the prime factors of n(-5).
5
Let t(z) = z**3 - 8*z**2 + 9*z - 10. Let x be t(7). Let j = -18 - -70. Suppose y = -5*m - 3 - 5, x*y - m - j = 0. List the prime factors of y.
2, 3
Let x = -2 + -2. Let l = 1 - x. Suppose -l*q + 10 = -0. List the prime factors of q.
2
Let w(n) = -n**2 + 4*n + 11. What are the prime factors of w(5)?
2, 3
What are the prime factors of 3*(17 + (-2 - -6))?
3, 7
Suppose -2*x = -2*a - 8, 2*a = x + 1 - 4. Suppose 0 = -x*q + 103 - 13. What are the prime factors of q?
2, 3
Suppose v = b - 3*v - 63, -5*b + 4*v = -315. Suppose -7*n + 2*n - g = -b, -n + 4*g = 0. What are the prime factors of n?
2, 3
Suppose 4*h - 153 = -5*z, 2*z - 4*z - 3*h + 64 = 0. Let i be (1/1)/(2/36). Let a = z - i. List the prime factors of a.
11
Let o(i) = i + 7. Let p be o(-6). Let r = p - -4. What are the prime factors of r?
5
Let a(h) = 2*h - 12. Let k be a(9). Let t be (2 - 39/k)*-2. List the prime factors of (8/2)/(3/t).
2, 3
Let o(u) = 3*u**2 - u - 1. Let d be o(-1). Let w = 7 - d. List the prime factors of w.
2
Let p = -62 + 113. What are the prime factors of p?
3, 17
Suppose -q - 2 = 6. Let s = 14 + q. List the prime factors of s.
2, 3
Let z be 5*(-1 - (-2 + 2)). Let g be 19/5 - 1/z. Suppose -g*j + 27 + 17 = 0. List the prime factors of j.
11
Suppose -5*t + 2*t = -408. Suppose -5*s = -3*o - o - 170, -4*s = -4*o - t. List the prime factors of s.
2, 17
Let f(d) = d - | {
"pile_set_name": "DM Mathematics"
} |
2, 3, 391249
What are the prime factors of 169320?
2, 3, 5, 17, 83
List the prime factors of 812070.
2, 3, 5, 7, 1289
What are the prime factors of 1765192?
2, 11, 13, 1543
List the prime factors of 10801.
7, 1543
What are the prime factors of 1363224?
2, 3, 79, 719
List the prime factors of 4857558.
2, 3, 29, 27917
List the prime factors of 4955612.
2, 1238903
What are the prime factors of 554562?
2, 3, 30809
List the prime factors of 5372553.
3, 79, 22669
What are the prime factors of 31650113?
11, 2877283
What are the prime factors of 213720?
2, 3, 5, 13, 137
List the prime factors of 8948853.
3, 431, 769
List the prime factors of 731315.
5, 13, 11251
List the prime factors of 11045680.
2, 5, 138071
List the prime factors of 106322.
2, 53161
List the prime factors of 3507523.
23, 152501
List the prime factors of 14755100.
2, 5, 147551
What are the prime factors of 1770048?
2, 3, 7, 439
List the prime factors of 1275518.
2, 109, 5851
List the prime factors of 23079611.
101, 228511
What are the prime factors of 623487?
3, 37, 41, 137
What are the prime factors of 4028385?
3, 5, 101, 2659
What are the prime factors of 11713986?
2, 3, 17, 38281
What are the prime factors of 2398271?
29, 82699
List the prime factors of 966755.
5, 239, 809
What are the prime factors of 29105263?
11, 2645933
List the prime factors of 92878.
2, 46439
List the prime factors of 696433.
696433
List the prime factors of 13581.
3, 503
List the prime factors of 23284841.
977, 23833
What are the prime factors of 76000?
2, 5, 19
What are the prime factors of 344949?
3, 11, 10453
What are the prime factors of 2196421?
911, 2411
What are the prime factors of 1634032?
2, 73, 1399
What are the prime factors of 6060327?
3, 7, 13, 79, 281
List the prime factors of 1146464.
2, 11, 3257
What are the prime factors of 121078?
2, 60539
List the prime factors of 259571.
13, 41, 487
List the prime factors of 1118469.
3, 11, 33893
What are the prime factors of 622104?
2, 3, 7, 23
What are the prime factors of 10213368?
2, 3, 11, 3517
List the prime factors of 961701.
3, 13, 24659
List the prime factors of 4188578.
2, 631, 3319
List the prime factors of 901697.
17, 29, 31, 59
What are the prime factors of 10184973?
3, 293, 11587
List the prime factors of 10542091.
7, 17, 88589
What are the prime factors of 16111700?
2, 5, 11, 97, 151
List the prime factors of 2274234.
2, 3, 379039
List the prime factors of 609355.
5, 47, 2593
List the prime factors of 129803.
129803
What are the prime factors of 4607437?
31, 148627
List the prime factors of 26877593.
23, 419, 2789
What are the prime factors of 9857720?
2, 5, 59, 4177
List the prime factors of 1297183.
37, 35059
List the prime factors of 5783363.
5783363
List the prime factors of 483194.
2, 241597
List the prime factors of 1756651.
13, 163, 829
List the prime factors of 37801180.
2, 5, 41, 46099
What are the prime factors of 7229245?
5, 23, 37, 1699
What are the prime factors of 9366744?
2, 3, 390281
List the prime factors of 23343486.
2, 3, 3890581
List the prime factors of 8261357.
13, 59, 10771
List the prime factors of 254783.
254783
List the prime factors of 1520334.
2, 3, 84463
What are the prime factors of 2955738?
2, 3, 29, 16987
What are the prime factors of 152598?
2, 3, 29, 877
What are the prime factors of 241837?
257, 941
List the prime factors of 352623.
3, 117541
List the prime factors of 252201.
3, 84067
What are the prime factors of 11818?
2, 19, 311
What are the prime factors of 3301521?
3, 113, 9739
List the prime factors of 1714368.
2, 3, 8929
List the prime factors of 10916767.
10916767
What are the prime factors of 777104?
2, 17, 2857
What are the prime factors of 1391787?
3, 154643
What are the prime factors of 208779?
3, 69593
List the prime factors of 20596196.
2, 5149049
List the prime factors of 648948.
2, 3, 41, 1319
List the prime factors of 10070656.
2, 29, 2713
What are the prime factors of 2281600?
2, 5, 23, 31
List the prime factors of 528222.
2, 3, 88037
What are the prime factors of 299324?
2, 74831
What are the prime factors of 172215?
3, 5, 43, 89
List the prime factors of 4025659.
11, 365969
What are the prime factors of 179048?
2, 22381
List the prime factors of 10038765.
3, 5, 11, 5531
List the prime factors of 27201699.
3, 7, 113, 3821
What are the prime factors of 80365?
5, 16073
What are the prime factors of 391948?
2, 97987
What are the prime factors of 453850?
2, 5, 29, 313
What are the prime factors of 753279?
3, 193, 1301
What are the prime factors of 19670572?
2, 353, 13931
List the prime factors of 15301946.
2, 11, 23, 30241
List the prime factors of 1308116.
2, 17, 19237
What are the prime factors of 3117636?
2, 3, 28867
List the prime factors of 1460407.
13, 112339
List the prime factors of 3068671.
19, 373, 433
What are the prime factors of 100782?
2, 3, 11, 509
List the prime factors of 1603481.
11, 145771
List the prime factors of 2772174.
2, 3, 41, 59, 191
What are the prime factors of 71803?
59, 1217
List the prime factors of 74139.
3, 13, 1901
List the prime factors of 11148329.
149, 74821
What are the prime factors of 412214?
2, 11, 41, 457
What are the prime factors of 427301?
7, 61043
List the prime factors of 5993272.
2, 181, 4139
List the prime factors of 448946.
2, 224473
List the prime factors of 379895.
5, 75979
List the prime factors of 11675302.
2, 5837651
What are the prime factors of 1937180?
2, 5, 7, 101, 137
List the prime factors of 943109.
17, 29, 1913
What are the prime factors of 1784186?
2, 892093
List the prime factors of 5429718.
2, 3, 7, 43093
What are the prime factors of 5404670?
2, 5, 43, 12569
List the prime factors of 79153.
79153
What are the prime factors of 1929912?
2, 3, 97, 829
What are the prime factors of 460130?
2, 5, 11, 47, 89
What are the prime factors of 53149?
53149
List the prime factors of 115759.
7, 23, 719
What are the prime factors of 7922749?
131, 197, 307
List the prime factors of 4739785.
5, 113, 8389
What are the prime factors of 7516083?
3, 2505361
List the prime factors of 344670.
2, 3, 5, 11489
List the prime factors of 32049672.
2, 3, 23, 58061
What are the prime factors of 774009?
3, 109, 263
List the prime factors of 18912411.
3, 7, 89, 3373
What are the prime factors of 2723598?
2, 3, 31, 1627
List the prime factors of 18257430.
2, 3, 5, 608581
What are the prime factors of 7129358?
2, 17, 209687
What are the prime factors of 2019969?
3, 7, 32063
What are the prime factors of 16844957?
16844957
What are the prime factors of 527766?
2, 3, 87961
List the prime factors of 838196.
2, 209549
What are the prime factors of 6411374?
2, 3205687
List the prime factors of 350817.
3, 337, 347
What are the prime factors of 4741582?
2, 773, 3067
List the prime factors of 724591.
7, 17, 6089
List the prime factors of 237466.
2, 37, 3209
What are the prime factors of 1378739?
409, 3371
What are the prime factors of 22401?
3, 19, 131
What are the prime factors of 14096849?
13, 1084373
What are the prime factors of 193680?
2, 3, 5, 269
List the prime factors of 56478.
2, 3, 9413
What are the prime factors of 689668?
2, 7, 24631
What are the prime factors of 2232851?
73, 419
What are the prime factors of 53467?
127, 421
List the prime factors of 947618.
2, 7, 113, 599
List the prime factors of 760742.
2, 47, 8093
What are the prime factors of 3495376?
2, 218461
What are the prime factors of 188774?
2, 37, 2551
List the prime factors of 1978065.
3, 5, 113, 389
List the prime factors of 681062.
2, 503, 677
List the prime factors of 102915.
3, 5, 2287
What are the prime factors of 3823824?
2, 3, 29, 41, 67
List the prime factors of 823270.
2, 5, 7, 19, 619
List the prime factors of 36768.
2, 3, 383
What are the prime factors of 11276?
2, 2819
What are the prime factors of 200395?
5, 13, 3083
What are the prime factors of 26935912?
2, 3366989
List the prime factors of 20776552.
2, 661, 3929
What are the prime factors of 4385420?
2, 5, 13, 101, 167
What are the prime factors of 29267152?
2, 1829197
List the prime factors of 20423350.
2, 5, 97, 4211
List the prime factors of 134273.
19, 37, 191
List the prime factors of 54480.
2, 3, 5, 227
List the prime factors of 1166325.
3, 5, 15551
List the prime factors of 210684.
2, 3, 97, 181
List the prime | {
"pile_set_name": "DM Mathematics"
} |
7?
22494730
What comes next: 187975, 751949, 1691907, 3007849?
4699775
What is next in 3352633, 13410529, 30173689, 53642113, 83815801, 120694753?
164278969
What is the next term in -7363018, -7363016, -7363014, -7363012, -7363010?
-7363008
What is the next term in 123614, 120937, 118260, 115583, 112906?
110229
What is the next term in -432081, -432140, -432225, -432336?
-432473
What is next in 2708068256, 2708068256, 2708068258, 2708068262, 2708068268, 2708068276?
2708068286
What comes next: -1580160, -1580159, -1580156, -1580151, -1580144, -1580135?
-1580124
What comes next: -466042, -1864255, -4194618, -7457131, -11651794, -16778607, -22837570?
-29828683
What is the next term in 79068375, 79068374, 79068373, 79068372, 79068371?
79068370
What is the next term in -868132, -867814, -867284, -866542?
-865588
What comes next: -4199399, -8398823, -12598249, -16797677, -20997107, -25196539, -29395973?
-33595409
What is the next term in 447220372, 447220373, 447220374?
447220375
What is the next term in -120476, -120409, -120342?
-120275
What is the next term in -1529071, -3058141, -4587211, -6116281, -7645351, -9174421?
-10703491
What is the next term in 23669, 23705, 23759, 23843, 23969, 24149, 24395, 24719?
25133
What comes next: -658, -82, 696, 1778, 3266, 5262, 7868?
11186
What is next in -1904, -2764, -3646, -4562, -5524?
-6544
What is the next term in -2911, -2855, -2755, -2611?
-2423
What is the next term in -653694, -1307102, -1960512, -2613924, -3267338?
-3920754
What comes next: -711, -1273, -1707, -2013?
-2191
What is the next term in 18272084, 18272087, 18272090?
18272093
What comes next: -813375, -1626980, -2440585, -3254190, -4067795?
-4881400
What is the next term in 659, 960, 1513, 2318, 3375, 4684, 6245?
8058
What comes next: 1430267, 1430288, 1430309?
1430330
What is next in 2504, 2634, 2788, 2960, 3144?
3334
What is next in 17904072, 35808144, 53712216?
71616288
What is the next term in 8717, 40405, 95061, 172691, 273301?
396897
What is the next term in 898, 1556, 1768, 1330, 38?
-2312
What is next in -1823, -3318, -4827, -6350, -7887, -9438, -11003?
-12582
What is next in 2116, 5281, 7998, 10261, 12064?
13401
What comes next: -3441, -6810, -10137, -13404, -16593?
-19686
What comes next: -2916, -5899, -8886, -11877, -14872, -17871, -20874?
-23881
What is the next term in -764441, -764491, -764541?
-764591
What is next in -3293, 15539, 34371, 53203, 72035, 90867?
109699
What is next in -17186, -34488, -51838, -69242, -86706, -104236, -121838?
-139518
What is next in -5512, -5550, -5614, -5704, -5820?
-5962
What comes next: -275215, -275231, -275247, -275263, -275279, -275295?
-275311
What is the next term in -113, -172, -227, -278, -325, -368, -407?
-442
What is the next term in -4640, -9051, -13452, -17837, -22200?
-26535
What comes next: -1525162, -3050312, -4575452, -6100582?
-7625702
What is next in 65997132, 131994264, 197991396, 263988528, 329985660?
395982792
What is next in 36918, 36956, 36994, 37032, 37070?
37108
What is next in -2017939, -4035893, -6053847?
-8071801
What comes next: -34374, -60616, -86848, -113064, -139258?
-165424
What comes next: 1432, 9366, 17300?
25234
What is the next term in 49207254, 98414509, 147621764?
196829019
What is the next term in -17062, -17173, -17376, -17671, -18058, -18537, -19108?
-19771
What comes next: 1114581, 2228378, 3342177, 4455978, 5569781, 6683586, 7797393?
8911202
What is next in 172582, 689920, 1552148, 2759266, 4311274, 6208172?
8449960
What comes next: -54426, -108913, -163500, -218235, -273166?
-328341
What is next in -188357, -189205, -190053, -190901, -191749, -192597?
-193445
What comes next: 2922486, 2922235, 2921984?
2921733
What is the next term in -2446, -3550, -4768, -6106, -7570, -9166, -10900, -12778?
-14806
What is the next term in 939408, 3757640, 8454694, 15030570, 23485268, 33818788, 46031130?
60122294
What comes next: -5721, -24438, -56155, -100866, -158565, -229246, -312903, -409530?
-519121
What is the next term in -4045293, -4045294, -4045295?
-4045296
What is the next term in -1673267, -1673267, -1673259, -1673237, -1673195, -1673127, -1673027?
-1672889
What is next in 1124465, 1124457, 1124449, 1124441?
1124433
What is next in 25531, 25421, 25311?
25201
What is next in -3911299, -3911288, -3911261, -3911212, -3911135, -3911024?
-3910873
What is the next term in -4038, -8180, -12418, -16752, -21182?
-25708
What comes next: 420, 1752, 3992, 7140, 11196, 16160, 22032?
28812
What comes next: 1799326, 3598510, 5397696, 7196884, 8996074, 10795266?
12594460
What is the next term in -988258, -988285, -988312, -988339?
-988366
What is next in 10928, 14856, 18784?
22712
What comes next: 5734, 19868, 43424, 76402, 118802, 170624?
231868
What is the next term in -25715, -94457, -209025, -369413, -575615, -827625?
-1125437
What comes next: -853, -571, -129, 479, 1259, 2217?
3359
What is next in 3882, 5971, 8060, 10149, 12238, 14327?
16416
What is next in 51203, 204853, 460911, 819371, 1280227?
1843473
What comes next: -13466, -52815, -118040, -209141?
-326118
What is next in 3750974, 7501943, 11252912?
15003881
What comes next: 17909, 17789, 17655, 17501, 17321, 17109?
16859
What is next in 9505, 9453, 9391, 9319?
9237
What is next in -415460, -415435, -415392, -415331, -415252?
-415155
What comes next: -130060152, -260120299, -390180444, -520240587, -650300728?
-780360867
What is next in 17848, 71433, 160758, 285823, 446628?
643173
What is next in -48682, -48089, -47496, -46903?
-46310
What comes next: -1896631, -1896792, -1896955, -1897120, -1897287, -1897456, -1897627?
-1897800
What is the next term in 79365, 79545, 79831, 80217, 80697, 81265?
81915
What comes next: 11727, 46826, 105325, 187230, 292547?
421282
What is the next term in -31976673, -31976672, -31976671, -31976670?
-31976669
What is next in -230620, -1845102, -6227278, -14760994, -28830096?
-49818430
What is next in 3813, 7996, 12911, 18924, 26401, 35708, 47211, 61276?
78269
What is next in -1172766, -1171974, -1171182, -1170390, -1169598, -1168806?
-1168014
What is next in -494396, -494478, -494630, -494858, -495168, -495566, -496058?
-496650
What comes next: -1484, -2737, -6162, -12845, -23872, -40329, -63302, -93877?
-133140
What is next in -615859212, -615859209, -615859206, -615859203, -615859200, -615859197?
-615859194
What comes next: 9838692, 19677447, 29516202, 39354957, 49193712, 59032467?
68871222
What comes next: -720, -552, 504, 2448?
5280
What comes next: -6098, -25860, -58798, -104912, -164202?
-236668
What is next in 2775351, 5550698, 8326045, 11101392, 13876739?
16652086
What is the next term in 42282249, 42282250, 42282251, 42282252, 42282253?
42282254
What is the next term in -1056, -1130, -1328, -1662, -2144, -2786, -3600, -4598?
-5792
What comes next: -1502707, -1502707, -1502705, -1502701, -1502695, -1502687?
-1502677
What is next in 724658, 1449259, 2173884, 2898533, 3623206, 4347903, 5072624?
5797369
What is the next term in -236604, -235911, -235218, -234525?
-233832
What is the next term in -749108, -1498240, -2247372, -2996504?
-3745636
What is the next term in 4439, 17429, 38955, 69017?
107615
What is next in 9865, 9933, 10059, 10243, 10485?
10785
What is the next term in 5187, 4789, 4391, 3993?
3595
What is next in 32997874, 65995745, 98993616?
131991487
What is the next term in -77963544, -155927088, -233890632?
-311854176
What is next in -656623, -656636, -656649, -656662, -656675, -656688?
-656701
What is the next term in 8193, 8247, 8313, 8391, 8481?
8583
What is the next term in -1821673, -1821660, -1821639, -1821610, -1821573, -1821528?
-1821475
What is the next term in -35150, -140617, -316378, -562433, -878782?
-1265425
What comes next: -786693, -3146769, -7080229, -12587073, -19667301, -28320913, -38547909?
-50348289
What is the next term in 253688, 2029519, 6849640, 16236197, 31711336?
54797203
What is next in -15129, -15120, -15107, -15096, -15093?
-15104
What comes next: -302460, -604917, -907374, -1209831?
-1512288
What comes next: -3828, -9368, -18602, -31530, -48152?
-68468
What is next in 66836775, 66836774, 66836773, 66836772, 66836771?
66836770
What is next in -1923, -2049, -2183, -2325, -2475, -2633?
-2799
What comes next: 4713406, 9426826, 1414 | {
"pile_set_name": "DM Mathematics"
} |
+ 2*i + 62. What is q(0)?
62
Let o(n) = -37*n - 10. Determine o(3).
-121
Let z(d) = 3*d**3 - 4*d**2 + 2*d - 5. Give z(0).
-5
Let f(c) = -c**3 - 14*c**2 - 11*c + 8. Determine f(-13).
-18
Let o(t) = t**2 - 4*t + 6. Determine o(4).
6
Let a(x) = x**3 + 6*x**2 + 2*x - 4. Calculate a(-6).
-16
Let m(g) = -4*g - 9. Determine m(1).
-13
Let r(a) = -5*a - 10. Give r(-2).
0
Let d(x) = -7*x**3 + 2*x**2 + x + 1. What is d(-1)?
9
Let j(m) = -11*m + 69. Determine j(7).
-8
Let k(m) = -2*m + 36. Determine k(0).
36
Let f(r) = -r**3 - 26*r**2 + 54*r - 47. What is f(-28)?
9
Let z(s) = s**3 - 15*s**2 + 42*s - 7. Calculate z(12).
65
Let k(p) = -3*p - 10. Give k(-4).
2
Let k(v) = 7*v + 308. What is k(-44)?
0
Let h(y) = -y**3 - 7*y**2 + 3*y + 8. What is h(-6)?
-46
Let w(v) = v**2 - 11*v - 12. Calculate w(12).
0
Let n(g) = g**2 + 3*g + 2. Calculate n(-5).
12
Let u(z) = 3*z**2 + 82*z - 50. What is u(-28)?
6
Let l(y) = -y + 13. Determine l(3).
10
Let q(z) = z**3 + 5*z**2 - 3*z - 5. What is q(-6)?
-23
Let o(x) = -7*x**3 - 2*x**2 + 2*x. Give o(2).
-60
Let r(u) = -u**2 - 20*u - 51. What is r(-17)?
0
Let m(g) = -11*g + 4. Determine m(-3).
37
Let w(t) = 5*t + 13. Give w(-3).
-2
Let o(x) = 4*x - 78. Give o(28).
34
Let g(a) = 4*a**2 + 20*a. Calculate g(-5).
0
Let n(m) = 4*m - 14. Calculate n(1).
-10
Let i(v) = v**2 - 10*v - 3. What is i(0)?
-3
Let f(p) = -6*p + 14. What is f(5)?
-16
Let t(h) = h**3 - 9*h**2 + 14*h + 34. Calculate t(5).
4
Let c(n) = -n**2 - 3*n + 6. Give c(-6).
-12
Let r(u) = 2*u**2 - 28*u + 32. What is r(12)?
-16
Let g(h) = h**3 + 9*h**2 - 13*h - 24. What is g(-10)?
6
Let g(f) = f**3 + 7*f**2 + 6*f + 1. Determine g(-5).
21
Let o(h) = -17*h - 10. Determine o(3).
-61
Let k(y) = y**3 - 8*y**2 + 10*y + 1. Determine k(7).
22
Let m(c) = 2*c + 18. Calculate m(0).
18
Let h(y) = -y**2 - 4*y + 9. Calculate h(6).
-51
Let r(v) = 2*v**3 - 20*v**2 + 2*v - 18. What is r(10)?
2
Let b(g) = -g**2 + 21*g - 3. Determine b(21).
-3
Let p(r) = -r**3 + 7*r**2 + 9*r - 6. What is p(8)?
2
Let z(a) = a**2 - 19*a + 75. Determine z(13).
-3
Let c(g) = g**2 + 6*g - 3. Give c(-7).
4
Let h(t) = t**2 + 6*t. What is h(-8)?
16
Let b(i) = 5*i + 36. Give b(-10).
-14
Let q(c) = -3*c**2 - 51*c + 16. Determine q(-17).
16
Let m(d) = 5*d**2 + 9*d - 9. Give m(1).
5
Let o(n) = n**3 + 17*n**2 - 18*n - 4. Calculate o(-18).
-4
Let m(f) = 10*f + 139. Determine m(-14).
-1
Let j(t) = t**3 - 10*t**2 + 14*t - 10. Give j(7).
-59
Let k(x) = x + 2. Give k(1).
3
Let c(x) = x**2 + 16*x + 56. What is c(-12)?
8
Let a(m) = 51*m - 1070. Calculate a(21).
1
Let h(t) = 11*t - 2. What is h(4)?
42
Let d(s) = s**3 + 4*s**2 - 12*s - 49. Calculate d(-4).
-1
Let b(w) = -2*w**2 + 2*w + 11. What is b(5)?
-29
Let i(u) = u**3 - u**2 + 2. Determine i(0).
2
Let g(r) = 2*r**3 + 2*r**2 - 3*r - 3. Give g(-2).
-5
Let h(w) = -5*w**2 - 9*w. Calculate h(-2).
-2
Let z(u) = -u**2 + 8*u + 5. Determine z(6).
17
Let q(x) = -x**2 + 2*x - 11. Give q(8).
-59
Let a(g) = g**3 - 6*g**2 + 14*g - 7. Determine a(2).
5
Let y(d) = -4*d + 19. Calculate y(-7).
47
Let i(k) = k**2 + 16*k - 23. Calculate i(-17).
-6
Let v(k) = k**2 + 8*k - 86. What is v(-15)?
19
Let v(n) = n**2 - 53*n + 200. Determine v(4).
4
Let q(x) = 16*x - 1. Calculate q(1).
15
Let d(h) = 4*h - 28. Calculate d(9).
8
Let r(v) = -v**3 + 9*v**2 - 14*v - 24. Give r(6).
0
Let u(t) = t**3 - 8*t**2 - 17*t + 11. Determine u(10).
41
Let b(l) = 42*l - 88. Give b(2).
-4
Let u(x) = -x**3 - 18*x**2 - 23*x - 27. Give u(-17).
75
Let c(n) = 2*n**2 - 13*n + 9. What is c(5)?
-6
Let n(y) = -y**2 + 5*y - 6. Determine n(8).
-30
Let c(r) = -9*r - 17. Determine c(-6).
37
Let h(w) = -w**3 - 12*w**2 - 15*w - 2. What is h(-11)?
42
Let v(l) = -l**2 + l + 3. Give v(0).
3
Let i(f) = -8*f - 31. Determine i(-5).
9
Let f(n) = -n**3 - 10*n**2 - 18*n - 8. Give f(-8).
8
Let l(n) = -n**2 - n - 5. Calculate l(-7).
-47
Let l(p) = p**2 + 6*p + 3. What is l(-3)?
-6
Let w(r) = -3*r**3 - 3*r**2 + 3*r + 5. Calculate w(-1).
2
Let t(c) = -c**3 + 3*c**2 + 4*c + 3. Determine t(4).
3
Let x(t) = 2*t - 12. Determine x(4).
-4
Let r(f) = -f**2 - 3*f + 5. Give r(-5).
-5
Let p(w) = w**3 - 7*w**2 + 12*w - 3. Determine p(5).
7
Let o(b) = b**2 + 8*b - 1. What is o(-8)?
-1
Let c(w) = w**2 + 18*w - 6. What is c(-8)?
-86
Let i(d) = -d**2 - 9*d - 44. Calculate i(-13).
-96
Let z(j) = -j**3 + 3*j**2 + 9. What is z(3)?
9
Let q(g) = -43*g - 297. Give q(-7).
4
Let u(x) = x**3 - 13*x**2 - 89*x - 18. What is u(18)?
0
Let o(i) = 22*i + 86. What is o(-4)?
-2
Let y(u) = 4*u + 49. What is y(-8)?
17
Let o(p) = -11*p + 8. Give o(2).
-14
Let n(b) = b**3 - 8*b**2 + 6*b + 2. What is n(7)?
-5
Let f(q) = -3*q + 7. What is f(-7)?
28
Let q(w) = 4*w**3 + 31*w**2 - 8*w. What is q(-8)?
0
Let p(q) = -q**2 - 8*q - 10. Give p(-4).
6
Let y(o) = -o - 2. What is y(2)?
-4
Let n(x) = x**3 - 8*x**2 + 7*x + 7. Determine n(7).
7
Let x(k) = -k**2 - 29*k - 211. Determine x(-15).
-1
Let d(q) = 7*q**2 + 18*q - 17. Give d(-5).
68
Let x(k) = k**3 + 14*k**2 + 12*k - 23. Give x(-13).
-10
Let u(f) = f**3 + 5*f**2 - 12. Determine u(-4).
4
Let r(x) = x**2 - 7*x - 4. Calculate r(-1).
4
Let r(o) = -o - 2. Give r(0).
-2
Let k(o) = -10*o - 446. Give k(-43).
-16
Let g(c) = -3*c**3 + 6*c - 3. Calculate g(2).
-15
Let j(r) = 3*r + 3. Give j(2).
9
Let m(p) = p**2 - 4*p - 2. Determine m(-2).
10
Let v(z) = -16*z - 14. Give v(-9).
130
Let g(v) = -v**2 - 18*v + 59. Calculate g(-21).
-4
Let g(y) = y**2 - 13*y + 37. What is g(10)?
7
Let t(c) = -c**3 + c**2 + 87. What is t(0)?
87
Let m(s) = s**3 + 12*s**2 + 9*s - 16. Give m(-11).
6
Let u(d) = d - 12. Give u(-10).
-22
Let n(t) = 26*t**2 - 3*t. Calculate n(0).
0
Let a(b) = -7*b + 25. Calculate a(-11).
102
Let h(f) = -f**2 + 3*f + 2. Calculate h(2).
4
Let s(q) = -q**2 + 18*q - 31. What is s(15)?
14
Let k(p) = p**3 + 9*p**2 + 11*p + 9. Calculate k(-8).
-15
Let t(s) = -3*s - 12. Calculate t(-10).
18
Let q(f) = -5*f**3 - 2*f**2 + 5*f + 3. What is q(3)?
-135
Let s(g) = g**3 + 9*g**2 + 5*g - 7. Give s(-8).
17
Let m(f) = f**2 - 24*f + 14. What is m(23)?
-9
Let a(q) = -q**2 - 10*q - 10. Give a(-7).
11
Let g(p) = 2*p**2 - 16*p - 20. Calculate g(9).
-2
Let f(i) = i**3 + 8*i**2 - 20*i - 12. What is f(-10)?
-12
Let b(r) = -r**2 + 12*r - 12. Give b(9).
15
Let b(h) = 7*h**3 + h**2 - 4*h - 3. What is b(-1)?
-5
Let p(u) = -10*u**2 + 8. Calculate p(3).
-82
Let d(g) = 2*g**2 + 4. Give d(0).
4
Let y(g) = -3*g - 25. Determine y(12).
-61
Let x(l) = -l**3 + 2*l**2 + 5*l - 3. Give x(4).
-15
Let l(c) = c**2 + 5*c + 24. Calculate l(-3).
18
Let g(b) = 4*b. Give g(-3).
-12
Let n(a) = -7*a - 14. What is n(-6)?
28
Let a(s) = 5*s. Give a(14).
70
Let w(r) = -r**2 + 20*r - 22. What is w(13)?
69
Let f(j) = -j**3 - 4*j**2 + 29*j + 104. Calculate f(-6).
2
Let j(o) = 10*o - 60. Calculate j(6).
0
Let t(i) = i**2 - 27*i + 4. Determine t(27).
4
Let o(y) = 5*y. What is o(5)?
25
Let g(w) = -w**3 + 7*w**2 - 7*w + 3. Give g(5).
18
Let n(t) = -t**3 + 14*t**2 - 5*t - 12. Calculate n(14).
-82
Let u(f) = 67*f - 469. Determine u(7).
0
Let j(y) = y**3 + 10*y**2 + 6*y - 1. Calculate j(-9).
26
Let w(f) = 6*f**3 - 2*f + 2. Determine w(-2).
-42
Let p(s) = -4*s**2 - 17*s - 23. Give p(-3).
-8
Let t(q) = -2*q - 24. What is t(-8)?
-8
Let m(w) = -w**3 - 5*w**2 + 3*w + 5. Determine m(-6).
23
Let j(h) = -h**3 + 6*h**2 + 4*h - 10. What is j(7)?
-31
Let o(k) = k + 8. Calculate o(-10).
-2
Let b(t) = -t**3 + 5*t**2 + t - 12. Give b(5).
-7
Let i(n) = -n**2 - n + 23. Calculate i(0).
23
Let u(h) = h**3 + 3*h**2 - 3*h + 10. What is u(-4)?
6
Let l(d) = d**3 + 4*d**2 + 2*d - 12. What is l(-4)?
-20
Let c(x) = -x**2 + 6*x + 23. Determine c(-8).
-89
Let w(a) = -a**3 - 5*a**2 - 2*a - 7. Calculate w(-5).
3
Let f(y) = -2*y**3 + 10*y**2 - 13*y + 12. What is f(4)?
-8
Let k(d) = 30*d - 1. Calculate k(0).
-1
Let r(y) = y**3 + y**2 + y + 5. Give r(0).
5
Let b(j) = 2*j**2 + 42*j + 163. Determine b(-5).
3
Let k(j) = 2*j**2 - 10*j - 6. Give k(6).
6
Let m(b) = 2*b**2 - 7*b + 5. Calculate m(4).
9
Let u(o) = -o**2 + 4*o - 2. Determine u(8).
-34
Let u(n) = -n**2 + 41*n + 48. Calculate u(42).
6
Let t(v) = -v**3 - 3*v**2 + 1. What is t(-5)?
51
Let g(q) = -38*q + 29. Calculate g(1).
-9
Let y(i) = i**3 + 24*i**2 + 45*i + 21. Calculate y(-22).
-1
Let b(t) = -2*t**3 - t**2 - 3*t - 4. What is b(-2)?
14
Let n(f) = -f**3 - 3*f**2 - 3. Give n(-5).
47
Let i(s | {
"pile_set_name": "DM Mathematics"
} |
9195 or 1279194?
1279195
Which is smaller: 3/10777 or -0.1?
-0.1
Is -134620 smaller than -134604?
True
Do 1 and -34/249 have different values?
True
Which is smaller: -435 or -501?
-501
Which is smaller: -0.52 or 1933?
-0.52
Is 3033271 equal to 3033271?
True
Is -16280 != -341890/21?
True
Is 1/495472 less than or equal to 0?
False
Which is smaller: 40 or -96/767?
-96/767
Is -6432026 less than -6432026?
False
Which is bigger: 0 or 5/10136?
5/10136
Which is bigger: 874732 or 1?
874732
Which is bigger: -2/3277909 or -1?
-2/3277909
Are 1 and 2/186025 unequal?
True
Which is greater: 1 or 192/869?
1
Which is greater: -199810 or -4?
-4
Does -20/25099 = -1?
False
Which is smaller: 0 or -326/545?
-326/545
Is -292/1253 equal to -1?
False
Is -31566 less than -31566?
False
Is -598782 >= -3592687/6?
False
Is -0.11424 >= 10/7?
False
Which is smaller: -0.398 or -81?
-81
Which is smaller: -71193 or -1067902/15?
-1067902/15
Which is bigger: 122549 or 122548?
122549
Are 3/13701401 and -1 equal?
False
Which is bigger: -599932 or -599931?
-599931
Which is bigger: -1 or -41/8064?
-41/8064
Which is bigger: 4/232743 or 0?
4/232743
Which is bigger: 1 or 24/14197?
1
Which is bigger: 0 or 69/43619?
69/43619
Is -30210 > -30231?
True
Which is smaller: 1/7758715 or 1?
1/7758715
Which is smaller: -2228 or -2229?
-2229
Which is smaller: -2/35 or 1124?
-2/35
Are 3080 and 95 nonequal?
True
Are 1179943/4 and 294987 equal?
False
Which is smaller: -158 or -7941/50?
-7941/50
Is -21242 <= -21261?
False
Which is smaller: 28/3763 or 1?
28/3763
Is -1098 != -1541?
True
Is -152/889 equal to 1?
False
Is -646 greater than or equal to -695?
True
Is 6512 smaller than 332056/51?
False
Which is smaller: 1/22 or 142.78?
1/22
Is -11 smaller than -9459/802?
False
Is -20979/295 not equal to -72?
True
Is 2/874861 less than or equal to 1?
True
Which is smaller: -1 or -8/191287?
-1
Is -52510 less than or equal to -52515?
False
Which is smaller: 1 or 3/76919?
3/76919
Which is smaller: 0.76013 or 0.2?
0.2
Is -121/346 less than -0.7?
False
Which is smaller: -68138 or -0.2?
-68138
Which is smaller: -5685 or 337?
-5685
Which is smaller: -267515 or -267519?
-267519
Are -133985 and -133983 nonequal?
True
Which is greater: 28 or -23593?
28
Does 28/652847 = 1?
False
Do -392 and -785/2 have the same value?
False
Which is smaller: -82313 or 1?
-82313
Is 81812 greater than 81817?
False
Is 1066548 < 1066548?
False
Which is greater: -22600/101 or -224?
-22600/101
Is 2577 < 2291?
False
Which is smaller: 29 or 4477/157?
4477/157
Is -58/1765 > 0?
False
Which is smaller: 441567 or 441572?
441567
Is 0 < 248/32987?
True
Is -2/2279 at most -79?
False
Do -1/14 and 223922 have different values?
True
Which is smaller: 270/823 or 0?
0
Which is smaller: 1 or 1098914?
1
Is -791/3831 at least 0?
False
Which is bigger: 2/59639 or 0.1?
0.1
Which is bigger: 5462 or 0.2?
5462
Which is greater: -2 or -0.898?
-0.898
Is 12 at most 17250?
True
Which is smaller: 199 or 501?
199
Is -136162 at least as big as -136166?
True
Is -253157 bigger than -253154?
False
Is -14732 <= -14747?
False
Is -1/224181 != -1?
True
Which is smaller: -14745/41 or -361?
-361
Is -12127/16 at most as big as -758?
False
Which is greater: 17/2 or -10?
17/2
Which is smaller: 63512 or 63504?
63504
Which is smaller: -1 or 1/111491?
-1
Are -329747 and -329747 nonequal?
False
Is -0.1 at most 26917?
True
Does -23659 = -23702?
False
Which is smaller: 110849 or 110850?
110849
Which is smaller: -579601 or -579599?
-579601
Is -926 smaller than -1257?
False
Which is greater: -104/45561 or 0?
0
Is -200273 at most as big as -2?
True
Which is greater: 2740 or 2699?
2740
Which is smaller: 7 or 15185?
7
Is -57 greater than or equal to 50?
False
Which is greater: -11242/87 or -129?
-129
Is -681 equal to -769?
False
Which is bigger: 37 or -8/109?
37
Is -2834 bigger than -2398?
False
Is 376720 not equal to 376720?
False
Are 242/875 and 1 unequal?
True
Which is smaller: -660/1559 or 0?
-660/1559
Is -276634 greater than -276633?
False
Which is smaller: 146 or 147?
146
Is 2 less than or equal to 1810/787?
True
Which is smaller: 86 or 0.000614?
0.000614
Which is greater: 13/5 or 7575?
7575
Which is bigger: 9030 or 126401/14?
9030
Do -13952 and -13952 have the same value?
True
Which is smaller: 1812 or 1689?
1689
Is -89 bigger than -1007?
True
Which is smaller: -1378285 or -1378284?
-1378285
Are -3/22198 and -48 unequal?
True
Which is smaller: 4 or 686/141?
4
Which is smaller: 1753 or 1722?
1722
Is 30021 bigger than 1?
True
Which is smaller: -136 or 3/193?
-136
Are -1582/5 and 0.609 nonequal?
True
Which is smaller: 36780 or 36685?
36685
Is -0.1 equal to 1/189811?
False
Which is smaller: 10807 or 270212/25?
10807
Do 66847/20 and 3342 have the same value?
False
Is -0.21 equal to 0.45?
False
Which is bigger: -9 or -23092?
-9
Which is smaller: 190980 or 190978?
190978
Is -10023282 not equal to -10023283?
True
Is 53229 != 1?
True
Which is smaller: 0.2 or -311690.6?
-311690.6
Are 11236 and 11233 nonequal?
True
Which is smaller: -113 or 165/26?
-113
Is 2446138 greater than or equal to 2446139?
False
Which is smaller: 57218/27 or 2120?
57218/27
Are 0.1 and -582956 equal?
False
Which is smaller: -36991 or 0.4?
-36991
Which is greater: 128213 or 1666768/13?
128213
Which is smaller: 0.6 or -3218?
-3218
Which is greater: 21788 or 21791?
21791
Is -590 < -1214?
False
Is -1 > 720517?
False
Which is greater: -6/589201 or 0?
0
Are 482650/17 and 28391 equal?
False
Which is smaller: 25316 or 25317?
25316
Which is smaller: -809445 or -809447?
-809447
Is -89 at most as big as -8870?
False
Which is bigger: 156442 or 156441?
156442
Is 1 at least as big as -14/774033?
True
Which is bigger: -1 or 48219?
48219
Which is smaller: -3180 or -3208?
-3208
Is -15 at least as big as -4/1899?
False
Is 165794/29 >= 5718?
False
Is -1419 < -89?
True
Which is greater: 1659921 or 1659922?
1659922
Is -26 > 873?
False
Which is smaller: -794312 or -794308?
-794312
Is 18674.6 not equal to 0.2?
True
Which is smaller: 18631 or 18635?
18631
Is 1039024 > 1039024?
False
Is 8 >= 6668/823?
False
Is -13703/14 != -979?
True
Is 50290 at least as big as 0.3?
True
Is -36165 at most as big as -3?
True
Which is smaller: 245 or 212?
212
Is 0 greater than or equal to 674/3429?
False
Is -162106 > -162106?
False
Which is greater: 1297 or -434?
1297
Which is bigger: 3049 or 3317?
3317
Is 2 greater than or equal to 587/527?
True
Is -455485 less than -455484?
True
Do 1962 and 767 have the same value?
False
Is 1418220 != 1418223?
True
Which is bigger: -5718 or -11435/2?
-11435/2
Which is smaller: 700 or 605?
605
Which is smaller: -709261 or -2?
-709261
Is -1 != -2/43827?
True
Is 0 at least -1/17574?
True
Is 8641 not equal to 8648?
True
Which is bigger: -1/3 or -5628003?
-1/3
Is -34766 > -34722?
False
Is -0.6 <= 2/2079?
True
Which is smaller: -89674 or -896753/10?
-896753/10
Which is smaller: 270/91 or 1?
1
Which is smaller: 1 or 3/915733?
3/915733
Is -30 at least as big as -1034/35?
False
Which is smaller: 14/65 or 2?
14/65
Is -3066 at most as big as -71?
True
Which is bigger: -0.12 or 2/59853?
2/59853
Is -1 greater than 68/1369?
False
Which is bigger: 97547/8 or 12192?
97547/8
Are -1 and 789/308 unequal?
True
Which is smaller: 36160 or -9?
-9
Which is greater: -2208 or -2494?
-2208
Which is smaller: 7 or 481071?
7
Which is smaller: -572/67 or -8?
-572/67
Is 1 greater than or equal to -821/1999?
True
Which is bigger: -5495/26 or -212?
-5495/26
Is 15642 at least 172052/11?
True
Which is bigger: 169.65 or -1?
169.65
Which is smaller: -374665 or -16?
-374665
Which is greater: -6696 or -6691?
-6691
Does -1 = -241157?
False
Which is smaller: 866 or 749?
749
Is 1/2067781 at least 0?
True
Is -1267 <= 2/15?
True
Is 3737 smaller than 4261?
True
Which is greater: 0 or -3/1055450?
0
Is 1753 >= 1750?
True
Is -0.161904 <= 0.1?
True
Is -1 at least as big as 16/303?
False
Which is smaller: 14042 or 14044?
14042
Is 61578 <= 61584?
True
Is -64669 smaller than -64668?
True
Which is greater: -8264 or -8267?
-8264
Which is smaller: -2/655 or 133/2?
-2/655
Which is bigger: -842 or -22?
-22
Is 621 <= 58383/94?
True
Is 245 at least as big as 290?
False
Do -0.102 and 0.4651 have the same value?
False
Which is smaller: -0.01462 or 2?
-0.01462
Which is greater: -95/588 or 0 | {
"pile_set_name": "DM Mathematics"
} |
king 2 v and 1 s when three letters picked without replacement from nhsiivnsvhsbnvsnvvii.
2/57
Three letters picked without replacement from zbbldzlolzzjlzo. What is prob of picking 2 o and 1 j?
1/455
Two letters picked without replacement from {k: 2, v: 1, y: 2, w: 4, b: 1, z: 4}. What is prob of picking 1 y and 1 z?
8/91
What is prob of picking 1 z, 1 i, and 1 w when three letters picked without replacement from zzwrawvzaivz?
2/55
Two letters picked without replacement from {s: 12, t: 1}. What is prob of picking 2 s?
11/13
Two letters picked without replacement from aahjhahajhajhaja. What is prob of picking 1 a and 1 h?
7/24
Calculate prob of picking 4 r when four letters picked without replacement from {r: 4, f: 7}.
1/330
Calculate prob of picking 1 c, 1 y, and 1 u when three letters picked without replacement from {w: 2, y: 2, c: 1, k: 1, u: 1, m: 1}.
1/28
Four letters picked without replacement from {n: 1, g: 3, q: 3, c: 1, r: 2, v: 8}. What is prob of picking 1 v, 2 g, and 1 c?
2/255
Two letters picked without replacement from {d: 1, p: 2, j: 2, k: 2, x: 1}. What is prob of picking 2 k?
1/28
Calculate prob of picking 1 q and 2 b when three letters picked without replacement from ggbvqqgqqvgvqqqbvqg.
8/969
What is prob of picking 1 r and 2 w when three letters picked without replacement from qajwhjjwrjaa?
1/220
What is prob of picking 2 t when two letters picked without replacement from kkkkkkktktkk?
1/66
Calculate prob of picking 4 i when four letters picked without replacement from ffiiiipipfpifc.
15/1001
Two letters picked without replacement from zchc. Give prob of picking 1 h and 1 z.
1/6
Four letters picked without replacement from cllbcacccccblbca. What is prob of picking 3 b and 1 l?
3/1820
Four letters picked without replacement from vlilvi. Give prob of picking 2 i, 1 v, and 1 l.
4/15
Calculate prob of picking 1 a, 2 i, and 1 x when four letters picked without replacement from {a: 4, x: 1, c: 7, i: 8}.
112/4845
Calculate prob of picking 2 v when two letters picked without replacement from mvvmmmmvmmvmmmmmmmmv.
1/19
What is prob of picking 1 x and 1 a when two letters picked without replacement from xxxaaaaaaaaaaaaaax?
56/153
What is prob of picking 1 b and 1 j when two letters picked without replacement from jjobbzq?
4/21
Two letters picked without replacement from {a: 4, k: 16}. What is prob of picking 1 a and 1 k?
32/95
What is prob of picking 2 g when two letters picked without replacement from {l: 7, y: 8, g: 2, d: 3}?
1/190
Three letters picked without replacement from {g: 2, u: 10, j: 3}. Give prob of picking 2 g and 1 u.
2/91
Four letters picked without replacement from sjfjsssjsssjjjjjssh. Give prob of picking 1 h and 3 j.
14/969
Two letters picked without replacement from eiggzggeg. What is prob of picking 1 e and 1 z?
1/18
Two letters picked without replacement from {x: 3, v: 2, w: 3, d: 1, u: 1}. What is prob of picking 2 x?
1/15
What is prob of picking 1 f, 1 b, and 2 v when four letters picked without replacement from bqbfbfffvvv?
6/55
What is prob of picking 2 q when two letters picked without replacement from rsqrrrrrrsqq?
1/22
Calculate prob of picking 1 f and 2 g when three letters picked without replacement from ggfgggfggggfgggfgg.
91/204
Three letters picked without replacement from ntvxtcnxnxtvtnxt. What is prob of picking 2 v and 1 n?
1/140
Three letters picked without replacement from mxhhxxbphhtp. What is prob of picking 1 b and 2 p?
1/220
Four letters picked without replacement from juouuuujuuuuuujjjj. What is prob of picking 2 j and 2 u?
55/204
Three letters picked without replacement from vvvvjvvvvvvvvjj. Give prob of picking 1 j and 2 v.
198/455
What is prob of picking 2 j and 2 r when four letters picked without replacement from {j: 8, r: 4, k: 4}?
6/65
What is prob of picking 2 k and 1 m when three letters picked without replacement from pebmkkb?
1/35
Three letters picked without replacement from dnvlcqdnlqqn. Give prob of picking 2 n and 1 l.
3/110
Two letters picked without replacement from smxxsccecx. Give prob of picking 2 c.
1/15
Calculate prob of picking 2 v when two letters picked without replacement from {v: 6, f: 2}.
15/28
Two letters picked without replacement from {q: 1, y: 1, r: 13}. Give prob of picking 1 r and 1 q.
13/105
Calculate prob of picking 2 t when two letters picked without replacement from {d: 2, t: 2}.
1/6
Calculate prob of picking 2 c and 2 z when four letters picked without replacement from {x: 1, z: 2, r: 1, c: 2}.
1/15
Three letters picked without replacement from rreec. Give prob of picking 1 e and 2 r.
1/5
Calculate prob of picking 1 c, 1 n, and 1 o when three letters picked without replacement from cnconnccmcnclnocomn.
42/323
Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {a: 9, k: 5}.
45/91
Calculate prob of picking 2 x when two letters picked without replacement from {o: 9, x: 2}.
1/55
What is prob of picking 3 j and 1 q when four letters picked without replacement from {h: 3, i: 4, d: 2, q: 3, j: 6}?
1/51
Three letters picked without replacement from {j: 4, v: 5, o: 1, h: 4, f: 5}. What is prob of picking 1 o and 2 j?
2/323
Two letters picked without replacement from {l: 2, s: 7, h: 3}. What is prob of picking 1 s and 1 l?
7/33
Calculate prob of picking 1 o, 1 z, and 2 v when four letters picked without replacement from {z: 1, a: 1, o: 1, k: 2, v: 2, q: 1}.
1/70
Calculate prob of picking 1 y, 1 u, and 1 j when three letters picked without replacement from {w: 8, j: 1, z: 2, y: 2, u: 2}.
4/455
What is prob of picking 1 i and 1 f when two letters picked without replacement from fbivjwbfj?
1/18
Four letters picked without replacement from {a: 3, b: 1, h: 1}. Give prob of picking 3 a and 1 h.
1/5
Calculate prob of picking 1 n and 1 k when two letters picked without replacement from kknnkknnkknkkk.
45/91
What is prob of picking 3 y when three letters picked without replacement from cjyyyjjyy?
5/42
Two letters picked without replacement from {t: 4, l: 1, b: 2}. What is prob of picking 2 t?
2/7
Three letters picked without replacement from {j: 1, h: 3, y: 2, g: 1, t: 3}. Give prob of picking 2 y and 1 j.
1/120
Three letters picked without replacement from {a: 3, n: 1, f: 5}. Give prob of picking 3 a.
1/84
Three letters picked without replacement from {l: 1, s: 11, c: 1, q: 2}. Give prob of picking 1 s, 1 c, and 1 l.
11/455
What is prob of picking 1 i, 1 z, and 1 o when three letters picked without replacement from niifzoj?
2/35
Four letters picked without replacement from mnnnnnnymnnyynnnn. What is prob of picking 2 n and 2 m?
33/1190
Calculate prob of picking 1 f and 2 q when three letters picked without replacement from {c: 3, q: 5, j: 3, f: 2}.
10/143
Calculate prob of picking 1 m and 1 p when two letters picked without replacement from mxmmjyxyymfmypym.
1/20
Four letters picked without replacement from {a: 2, t: 2, h: 4, q: 1, e: 3}. Give prob of picking 2 a, 1 e, and 1 t.
2/165
What is prob of picking 1 n and 1 j when two letters picked without replacement from jjbjnbbbaneajbbjba?
10/153
Three letters picked without replacement from {n: 2, s: 2, f: 6, w: 1, d: 3, k: 5}. What is prob of picking 1 k and 2 n?
5/969
Two letters picked without replacement from {c: 10}. Give prob of picking 2 c.
1
Three letters picked without replacement from {z: 1, p: 1, g: 2}. What is prob of picking 1 p and 2 g?
1/4
Two letters picked without replacement from {n: 5, e: 3}. Give prob of picking 2 e.
3/28
What is prob of picking 1 g and 1 y when two letters picked without replacement from yygygggggybybggggggg?
13/38
Two letters picked without replacement from mrvdvgh. Give prob of picking 1 g and 1 d.
1/21
Calculate prob of picking 1 n and 1 b when two letters picked without replacement from unanbunnuubnbuubnu.
8/51
Three letters picked without replacement from hgpyyhogghhhpgyhdhyy. What is prob of picking 1 o, 1 h, and 1 y?
7/228
Two letters picked without replacement from {v: 5, z: 10, g: 4}. Give prob of picking 1 v and 1 z.
50/171
Calculate prob of picking 2 z and 2 t when four letters picked without replacement from {z: 4, w: 1, t: 5}.
2/7
What is prob of picking 2 l and 1 y when three letters picked without replacement from ttylltyyy?
1/21 | {
"pile_set_name": "DM Mathematics"
} |
- 1. Let p(u) = 3*u - 1. Let h be p(1). Let t(k) = -2*k**2 - 2*k - 2. Let z(m) = h*t(m) - 6*g(m). Determine z(-2).
6
Let p(i) = 7*i**3 - i**2. Let o(t) = t**2 + 4*t - 5. Let s be o(-5). Let w = 1 - s. Determine p(w).
6
Let h(f) be the second derivative of -f**7/2520 - f**6/720 - f**5/20 + f**4/12 - f. Let z(v) be the third derivative of h(v). Give z(0).
-6
Let x(k) = -1 - 4*k**2 + 9*k**3 + 7*k**2 - 2*k**2 - k**3. What is x(1)?
8
Suppose -3*d - 6 = 5*b - 1, 2*d + 4*b + 4 = 0. Let g be (d - 0)/(0 + -2). Let m(i) = i**2 + 0*i**2 + g*i**2 - 2 + 3*i + i. Determine m(-5).
3
Suppose -2*q + 10 = -3*f, 2*q + 4*f + f + 6 = 0. Let d(j) = -1 - 4*j + 11 - j**2 + q*j - 3. Determine d(-5).
-8
Suppose 0 = 3*n + c - 10, -4*n = -c - 11. Let y(k) be the second derivative of k**3/2 - k**2 + k. What is y(n)?
7
Suppose 5*t = -18 + 13. Let r(b) = b - 1. Let w(i) = -12*i + 5. Let l(u) = -5*r(u) - w(u). What is l(t)?
-7
Let k(f) = f**3 + 14*f**2 + 24*f - 5. Let w be k(-12). Let l(n) = -n**3 - 4*n**2 + 7*n + 3. Determine l(w).
-7
Let z be (-21)/(-14)*(0 - -1). Let w(v) be the second derivative of 1/3*v**3 + z*v**2 + 0 - 2*v. Calculate w(3).
9
Let c(z) be the third derivative of -z**6/10 + z**4/24 - z**3/6 + 9*z**2. Calculate c(1).
-12
Let t(a) = a + 12. Let l = 1 - 2. Let b(h) = -1. Let p(m) = l*t(m) - 5*b(m). Give p(5).
-12
Let c(r) = -7*r**2 + 6*r + 6. Let t(l) = -11*l**2 + 10*l + 9. Let u(b) = -8*c(b) + 5*t(b). Let m(o) = o**2 + 5*o. Let j be m(-4). Calculate u(j).
5
Suppose -12*j + 0*j - 60 = 0. Let w(z) = -2*z - 5. Let t(r) = 10*r + 24. Let a(x) = -2*t(x) - 11*w(x). Calculate a(j).
-3
Let r(s) = -s**2 - 6*s + 0*s + 2 - 3 + 0*s. Give r(-4).
7
Let q(l) = l. Let c(j) = 7*j + 8. Let o(f) = -c(f) + 6*q(f). Suppose -g - 4*m = 4, 2*g + 1 - 4 = 3*m. Calculate o(g).
-8
Suppose 5*i - 26 = 3*i. Let h(o) = -7*o**2 - 10*o + 4. Let m(t) = 15*t**2 + 21*t - 9. Let v(b) = i*h(b) + 6*m(b). What is v(-3)?
1
Let z(t) be the first derivative of -t**3/3 + 7*t**2/2 + 2*t + 4. Give z(6).
8
Let q = -4 - -3. Let r = -3 + q. Let x(y) = -7*y + 2. Let o(f) = 6*f - 1. Let m(d) = -5*o(d) - 4*x(d). Give m(r).
5
Suppose -3*g = 3*b - 1 - 5, -2 = -g - 3*b. Suppose -4*o = a - 0*a - g, 5*a - 10 = 4*o. Let h(s) = -s**2 + 1 - 2*s + 2*s**a + 3*s - 5*s**2. Calculate h(-1).
-4
Let j(m) = -2*m + 3. Let z be (-9)/(-4) - (-3)/(-12). Calculate j(z).
-1
Let l(y) be the third derivative of y**6/120 - 7*y**5/60 + y**4/6 + 7*y**3/6 - y**2. Suppose 2*j - 2 + 5 = -5*k, -4*j + 12 = 4*k. What is l(j)?
-5
Suppose d - 2*r = -2*d, -d + 4*r = 0. Let y be ((-2)/(-4) + 0)*d. Let n(q) = 3*q + 5. Let c(g) = 7*g + 10. Let l(z) = -2*c(z) + 5*n(z). Determine l(y).
5
Let r(x) be the second derivative of x**8/6720 + x**7/504 - x**6/720 - x**5/20 - x**4/4 + 4*x. Let u(a) be the third derivative of r(a). Calculate u(-5).
-1
Let q(v) = 4 - 4*v + 0 + 3*v - 1. What is q(4)?
-1
Let g be 376/(-12) + 2/6. Let x = g - -55. Let q be (-1)/(-5) + x/5. Let c(b) = b**3 - 4*b**2 - 5*b + 4. Calculate c(q).
4
Let f be 2 + -1 - (1 - 11). Let i = f + -10. Let u(d) = 13*d - 1. What is u(i)?
12
Let r(m) be the first derivative of -m**4/4 - m**3/3 - m**2/2 + 12*m + 11. Calculate r(0).
12
Let q(f) be the second derivative of f**4/12 + 5*f**3/6 - 2*f**2 + 3*f. Determine q(-6).
2
Let a(y) = y**3 + 4*y**2 + 2*y + 4. Suppose -2 = 2*d, 4*j + 17 = 3*d - 4*d. Calculate a(j).
-4
Let d(l) be the second derivative of l**4/12 + 7*l**3/6 - 4*l**2 + 19*l. What is d(-6)?
-14
Let k(y) = y**3 + 5*y**2 + 5*y. Let g(j) = 19*j**2 - j. Let f be g(-1). Suppose -10*m - f = -5*m. Calculate k(m).
-4
Let q = 3 + 0. Suppose -3*n + 4*n - m - 3 = 0, -7 = -5*n - q*m. Let z(g) = 3*g**n + 0 - 2*g - 1 + 0. What is z(2)?
7
Let h(u) = -2*u**2 + 2*u + 6 - 6. What is h(2)?
-4
Let u(t) = -9*t + 4*t - 1 + 4*t. Let k be u(-6). Let f(x) = -4*x - k*x**2 + 6*x**2 + 5*x. Determine f(1).
2
Let q(c) = 6*c**2 + c. Let r = 97 + -96. Calculate q(r).
7
Let d(z) = 2*z**3 + 12*z**2 + 5*z - 14. Let a(j) = -3*j**3 - 18*j**2 - 8*j + 21. Let w(m) = -5*a(m) - 7*d(m). What is w(-5)?
-7
Let h(r) = -r**3 + 9*r**2 - 7*r - 6. Let s(l) = 2*l. Let b be s(4). Give h(b).
2
Let l(f) = f**3 + 2*f**2 + 3*f + 2. Let q(j) = -j**3 + 3*j**2 + 2*j + 5. Let k be q(4). Calculate l(k).
-16
Let w be (-2)/3 + 23/3. Let f = -27 - -19. Let c = f + w. Let t(i) = i - 1. Calculate t(c).
-2
Let k(a) = -5*a - 3. Let o(s) = 0*s + s + 2*s + 2 + s. Let d(g) = -6*k(g) - 7*o(g). Determine d(-4).
-4
Let m = -11 + 15. Let n be 39/26 - (-2)/m. Let z(w) = -w**3 + 2*w - 2. Determine z(n).
-6
Let s(o) be the second derivative of o**6/120 + o**5/12 - o**4/24 - o**3 - 3*o**2/2 - o. Let k(m) be the first derivative of s(m). What is k(-5)?
-1
Let x(t) = t. Let k(s) = -2*s - 6. Let y = 9 + -14. Let w be k(y). Let m = w + -1. What is x(m)?
3
Let k(h) be the second derivative of h**3/2 - h**2/2 - h. Suppose 0 = 3*s - 4*s + f, 4*f = 8. Determine k(s).
5
Suppose -4*o + 2*o = 0. Suppose 2*h = -0*h + 4. Suppose o*v - v = h. Let w(y) = -y**3 - 2*y**2 - y - 1. Calculate w(v).
1
Let w(i) = i**3 + 3*i**2 + 2*i + 3. Let j be w(-2). Suppose -c + 0*c = -j. Let b(s) = -4*s + c - s**2 + 1 - s. Determine b(-5).
4
Let m be 2/8 + 1/(-4). Let n(y) be the third derivative of 0 - 1/120*y**6 - 2*y**2 + 0*y + 2/3*y**3 - 1/24*y**4 + 1/60*y**5. Determine n(m).
4
Let t(b) be the first derivative of 3 + b**3 - 1/4*b**4 - 4*b + 5/2*b**2. Let h be t(4). Let s(k) = -k**3 + k**2 - k - 6. Calculate s(h).
-6
Let x(z) = -3*z**3 + 3*z + 2*z**3 + 3 + 2*z**3 + 0*z**2 - 5*z**2. Let r be x(4). Let f(c) be the second derivative of 5*c**3/6 - c**2/2 + 2*c. Calculate f(r).
-6
Let r(c) = 5*c**3 - 2*c**2 - 2*c - 1. Let m(d) = d - 8. Let i be m(7). Give r(i).
-6
Let h(x) = 2*x**2 - 25*x + 9. Let v be h(12). Let f(k) = k**2 + 4*k. Determine f(v).
-3
Let h be (-15)/3 + 1 + -1. Let k(o) be the second derivative of o**4/12 + 7*o**3/6 + 3*o**2/2 + 18*o. Determine k(h).
-7
Let u(c) = -c**2 + 6*c - 7. Suppose 0*t - 5 = -t. Determine u(t).
-2
Let j(x) = -1 + 0*x - x + 2. Let q(g) = -9*g + 11. Let m(b) = -22*j(b) + 2*q(b). Suppose -5*y + l = 11, -2*y = -0*y + 5*l - 1. Calculate m(y).
-8
Suppose -2 = -2*a + v, -5*a - 1 = -2*v - 2*v. Let k(m) be the first derivative of 1 + 0*m**2 - m**3 + 1/4*m**4 - 3*m. Determine k(a).
-3
Let u(q) = -q**2 - 8*q - 5. Let c(z) = -z - 18. Let i be c(-12). Calculate u(i).
7
Let g(b) = b**2 + 10*b + 4. Let x be g(-10). Let y(n) = 3*n - 5*n**2 + 2 + n**3 + 4 - x. Calculate y(4).
-2
Suppose -3*l + 16 = l. Let c(b) = b**2 - l*b**2 - b**3 + 0*b**3. Let x be (6/(-10))/(8/40). Calculate c(x).
0
Let q(t) be the third derivative of -t**5/60 - t**4/4 + 5*t**3/3 + 26*t**2. Calculate q(-8).
-6
Let c(s) = s**2 - 5*s + 2. Let v(g) = -4*g**2 + 15*g - 6. Let f(r) = -7*c(r) - 2*v(r). Determine f(-5).
-2
Let f be (-12)/(-7) + -2 + 171/(-63). Let d(b) = b**3 + 4*b**2 + 5*b + 3. Calculate d(f).
-3
Let h(l) = l**3 + l**2 + l - 1. Let q be h(1). Let r be (q/5)/(1/10). Let n(o) = -o - 3. Determine n(r).
-7
Suppose 0*m - m + 7 = 5*v, 4*m - 9 = -v. Let g(w) = 0*w + 3 + w - w + m*w. What is g(-2)?
-1
Let l(y) be the first derivative of -y**2/2 + 2*y - 30. Give l(0).
2
Let m(l) be the first derivative of 2 - 1/4*l**4 + 2*l**3 + 1/2*l**2 + 0*l. Give m(6).
6
Let a = 3 + -5. Let l(z) = -5*z. What is l(a)?
10
Let l(x) = -18*x - 22*x**2 + 21*x + 18*x**2 - x**3. Let h be ((-15)/12)/((-2)/(-8)). Calculate l(h).
10
Let o(b) be the second derivative of -b**4/12 + 7*b**3/6 - 5*b**2/2 - 4*b. What is o(6)?
1
Let x(m) = m**3 - 7*m**2 - 11*m + 20. Let z be x(8). Let s(v) = -v**3 - 5*v**2 + 3. Give s(z).
-13
Let o(s) be the first derivative of -4*s + 1/3*s**3 + 0*s**2 + 1. What is o(-3)?
5
Let t(l) = -l**2 + 6*l - 3. Let j(b) = -7*b**2 + 7 - b**2 - 4*b - b**3 + 2*b**2. Let c(f) = f**3 - 6*f**2 - 5. Let a be c(6). Let v be j(a). What is t(v)?
5
Let f(m) = 0*m**3 - 7 + m**3 - 2*m**3. Suppose 3*j = 5*x, -4*x = -3*x + 3*j. Give f(x).
-7
Let f(g) = g**3 - g**2 + 8. Let d be f(0). Let p be -2*(-12)/d*1. Let l(y) = y - 2. Give l(p).
1
Let n(w) = 12*w**2 + w - 1. Let t be 2/(-2) - 5/(25/(-10)). Give n(t).
12
Let y(v) be the third derivative of -v**5/30 + v**4/3 - v**3/2 - 5*v**2. Give y(5).
-13
Let i(b) = -10*b**2 - 2*b - 1. Suppose 5 = -0*n + n. Suppose 2*x = p - x, -p + n = 2*x. Let f = 2 - p. What is i(f)?
-9
Suppose | {
"pile_set_name": "DM Mathematics"
} |
aces.
0.00012
What is -0.030973 rounded to 4 decimal places?
-0.031
Round -38705.8 to the nearest 10000.
-40000
What is 0.00005176 rounded to 5 dps?
0.00005
Round 0.00026896 to five decimal places.
0.00027
What is -75.252 rounded to the nearest 10?
-80
Round -0.000029073 to 7 decimal places.
-0.0000291
What is -744.2 rounded to the nearest 100?
-700
Round 0.000023657 to 5 decimal places.
0.00002
What is 0.00000137 rounded to 6 dps?
0.000001
Round -0.075864 to four decimal places.
-0.0759
What is -0.00150022 rounded to 5 dps?
-0.0015
What is 0.1133 rounded to three dps?
0.113
Round -16.847 to the nearest integer.
-17
What is -0.0833 rounded to three dps?
-0.083
What is -0.0000424 rounded to 6 dps?
-0.000042
What is -1.7374 rounded to two decimal places?
-1.74
Round -1.6166 to one decimal place.
-1.6
Round -221.28 to the nearest ten.
-220
Round 0.0002405 to 5 decimal places.
0.00024
Round 122.9 to the nearest ten.
120
What is -7.9644 rounded to two decimal places?
-7.96
What is 3857000 rounded to the nearest one hundred thousand?
3900000
What is -0.043064 rounded to 3 dps?
-0.043
What is 13583 rounded to the nearest one thousand?
14000
What is -0.00008078 rounded to 6 dps?
-0.000081
Round 0.0053679 to three dps.
0.005
What is -0.000001588 rounded to six dps?
-0.000002
Round 301.2 to the nearest 10.
300
Round -3.8599 to one dp.
-3.9
What is 0.0000055474 rounded to 7 decimal places?
0.0000055
What is -1870000 rounded to the nearest 1000000?
-2000000
What is -2540 rounded to the nearest one hundred?
-2500
What is 620000 rounded to the nearest 100000?
600000
Round -0.00024 to six dps.
-0.00024
Round 93579000 to the nearest 100000.
93600000
What is 714100 rounded to the nearest ten thousand?
710000
Round -57.299 to the nearest integer.
-57
What is 0.0001168 rounded to six decimal places?
0.000117
Round -294 to the nearest 1000.
0
What is 0.67083 rounded to 1 decimal place?
0.7
Round -2770 to the nearest 1000.
-3000
Round 0.000002522 to seven dps.
0.0000025
Round 0.0000102206 to 6 decimal places.
0.00001
What is 9.5685 rounded to the nearest integer?
10
Round 0.01735 to three dps.
0.017
Round -9740 to the nearest one thousand.
-10000
Round 41.4 to the nearest 10.
40
What is -0.00000682 rounded to 6 dps?
-0.000007
Round -0.0000010636 to seven dps.
-0.0000011
Round 18.72 to the nearest integer.
19
Round -213.34 to the nearest ten.
-210
What is 2.6707 rounded to the nearest integer?
3
What is 349 rounded to the nearest one hundred?
300
Round 0.003051 to four decimal places.
0.0031
Round 0.0006881 to five decimal places.
0.00069
Round -2.11 to 1 decimal place.
-2.1
Round -0.00114 to four decimal places.
-0.0011
Round -0.0613 to 2 dps.
-0.06
Round 0.03 to zero decimal places.
0
What is -19.2537 rounded to the nearest integer?
-19
Round 1.118 to the nearest integer.
1
What is 1.3986 rounded to 2 dps?
1.4
Round 0.000000719 to 6 decimal places.
0.000001
Round 6.1192 to the nearest integer.
6
What is -3.7 rounded to the nearest ten?
0
Round 4444500 to the nearest ten thousand.
4440000
Round -0.000000969 to six dps.
-0.000001
Round -0.0005578 to six decimal places.
-0.000558
Round -0.000092 to five dps.
-0.00009
Round -259.36 to zero dps.
-259
Round 934700 to the nearest one hundred thousand.
900000
What is 76300 rounded to the nearest 10000?
80000
Round 2645000 to the nearest 100000.
2600000
Round 8860000 to the nearest one million.
9000000
What is 1300.6 rounded to the nearest 100?
1300
What is -12.7701 rounded to one dp?
-12.8
Round 0.43106 to 2 dps.
0.43
What is 0.0000055336 rounded to seven decimal places?
0.0000055
What is 4.5448 rounded to 1 decimal place?
4.5
What is -0.00000021669 rounded to seven dps?
-0.0000002
Round -198370000 to the nearest 1000000.
-198000000
What is -371600 rounded to the nearest one hundred thousand?
-400000
What is 0.000020353 rounded to 7 decimal places?
0.0000204
Round 150.6 to the nearest 10.
150
What is -83.778 rounded to the nearest integer?
-84
What is -917000 rounded to the nearest one hundred thousand?
-900000
Round 0.000003071 to 6 decimal places.
0.000003
What is -51390 rounded to the nearest 1000?
-51000
What is 4250000 rounded to the nearest one million?
4000000
Round 1669000 to the nearest 100000.
1700000
What is 1333.43 rounded to the nearest ten?
1330
Round 530 to the nearest one hundred.
500
Round -0.00074231 to 4 decimal places.
-0.0007
What is -0.7591 rounded to one decimal place?
-0.8
What is 36778.8 rounded to the nearest one hundred?
36800
Round 20330000 to the nearest 1000000.
20000000
Round -13.54 to the nearest 10.
-10
Round 0.000107578 to six dps.
0.000108
Round -154340 to the nearest one hundred thousand.
-200000
What is -12100 rounded to the nearest 10000?
-10000
Round -0.00011594 to five dps.
-0.00012
Round -192800 to the nearest one hundred thousand.
-200000
What is 819860 rounded to the nearest 100000?
800000
What is -0.09817 rounded to two decimal places?
-0.1
What is -0.000006508 rounded to six decimal places?
-0.000007
What is 27780000 rounded to the nearest one hundred thousand?
27800000
Round 524250 to the nearest one thousand.
524000
Round 0.01611 to three dps.
0.016
What is 37988 rounded to the nearest 1000?
38000
Round 327900 to the nearest one hundred thousand.
300000
Round 3948 to the nearest 100.
3900
What is 388890 rounded to the nearest ten thousand?
390000
What is 0.000548 rounded to 5 dps?
0.00055
What is 0.00027337 rounded to four dps?
0.0003
Round 0.02189 to 3 decimal places.
0.022
What is 160200 rounded to the nearest ten thousand?
160000
What is -19096000 rounded to the nearest 100000?
-19100000
What is -123657 rounded to the nearest 1000?
-124000
Round -0.00004181 to 6 decimal places.
-0.000042
What is -1629100 rounded to the nearest 10000?
-1630000
What is 731 rounded to the nearest ten?
730
What is 0.04786 rounded to two dps?
0.05
Round 0.0028165 to 3 dps.
0.003
What is 0.51452 rounded to 2 dps?
0.51
Round 0.00287466 to four dps.
0.0029
What is 112.159 rounded to the nearest integer?
112
Round 0.0175 to two decimal places.
0.02
Round -12231 to the nearest 1000.
-12000
What is 0.0026627 rounded to four dps?
0.0027
What is -1025.31 rounded to the nearest integer?
-1025
What is -0.0253618 rounded to 4 decimal places?
-0.0254
Round -0.57032 to two dps.
-0.57
Round -10764000 to the nearest one million.
-11000000
What is -0.0024788 rounded to four decimal places?
-0.0025
What is -0.1349 rounded to 2 decimal places?
-0.13
What is -44.176 rounded to the nearest 10?
-40
Round -0.000017778 to 5 decimal places.
-0.00002
What is 0.445 rounded to 1 dp?
0.4
What is 93.834 rounded to zero dps?
94
What is 11847.1 rounded to the nearest 1000?
12000
Round -0.6616 to 2 dps.
-0.66
What is -0.000000439 rounded to seven decimal places?
-0.0000004
What is 4921 rounded to the nearest one hundred?
4900
Round 209630000 to the nearest one million.
210000000
Round -1.82627 to 2 dps.
-1.83
Round -0.0025344 to four dps.
-0.0025
What is 0.3677 rounded to two decimal places?
0.37
What is -99840 rounded to the nearest 10000?
-100000
What is -0.039755 rounded to two dps?
-0.04
Round 0.49 to 1 decimal place.
0.5
What is 68117000 rounded to the nearest one million?
68000000
What is -855300 rounded to the nearest 100000?
-900000
Round 0.9414 to 2 decimal places.
0.94
What is -29776 rounded to the nearest one hundred?
-29800
Round -0.01552 to one dp.
0
What is -15.36 rounded to 0 decimal places?
-15
Round -0.000019079 to 6 decimal places.
-0.000019
What is 0.000000639726 rounded to 7 dps?
0.0000006
What is -0.000000729 rounded to seven dps?
-0.0000007
Round -0.000003255 to seven dps.
-0.0000033
Round -6.9762 to one decimal place.
-7
Round 0.0000432 to 5 decimal places.
0.00004
Round 0.00218 to 3 decimal places.
0.002
Round -0.0000668 to five dps.
-0.00007
What is -14413000 rounded to the nearest one million?
-14000000
What is -0.09649 rounded to two decimal places?
-0.1
Round 0.058671 to three decimal places.
0.059
What is -360.54 rounded to the nearest integer?
-361
What is -0.00003536 rounded to six decimal places?
-0.000035
What is -0.00008987 rounded to 5 decimal places?
-0.00009
Round -16000000 to the nearest 1000000.
-16000000
What is 0.00041822 rounded to six decimal places?
0.000418
Round 11837.3 to t | {
"pile_set_name": "DM Mathematics"
} |
the terms in 2*m + 2*m**2 - 2 - 6*m**2 - 2*m.
-4*m**2 - 2
Collect the terms in -14 + 14 + 97*f.
97*f
Collect the terms in 12 - 7*t - 4*t - 4 + t.
-10*t + 8
Collect the terms in -74*s**3 + 39*s**3 + 41*s**3.
6*s**3
Collect the terms in 19114*l - 4*l**2 - 19114*l.
-4*l**2
Collect the terms in -p**3 - 6*p**3 + 14*p**3 - 6*p**3.
p**3
Collect the terms in -16*t + 43*t - 29*t - 17*t.
-19*t
Collect the terms in -6 - 3 + 50*z + 2 + 5.
50*z - 2
Collect the terms in 0*r**2 - 10 + 27 - 17 - 4*r**2.
-4*r**2
Collect the terms in 16*b - 2*b + 4*b.
18*b
Collect the terms in 106*f + 22*f + 103*f + 160*f.
391*f
Collect the terms in 2 + 0*r**2 - 4*r + 4*r - 2*r**2.
-2*r**2 + 2
Collect the terms in 7*w**2 + 216 - 216.
7*w**2
Collect the terms in 25 + 17 - m + 15 - 54.
-m + 3
Collect the terms in -5*k**2 + k**2 - 4*k**2 + 5*k**2.
-3*k**2
Collect the terms in -w + 163365 - 163365 - 2*w.
-3*w
Collect the terms in -5*w**2 + 59*w - 16*w + 0*w**2.
-5*w**2 + 43*w
Collect the terms in -6*s**3 + 16*s**3 - 6*s**3 - 11*s**3.
-7*s**3
Collect the terms in -83 - 2*g + 83.
-2*g
Collect the terms in -x - 45 + x + 4*x.
4*x - 45
Collect the terms in -603*w + 303*w + 302*w.
2*w
Collect the terms in -6*s - 14*s - 7*s + 19*s.
-8*s
Collect the terms in 248*w + 241*w + 239*w - 731*w.
-3*w
Collect the terms in -3*c + 107*c**3 - 214*c**3 + 105*c**3 + 3*c.
-2*c**3
Collect the terms in -2*g + 5*g + 7*g + 6*g.
16*g
Collect the terms in 2*k**2 - k**2 - 5*k**2.
-4*k**2
Collect the terms in 9*b - 18*b - 17*b + b.
-25*b
Collect the terms in 39*u**3 + 27*u**3 + 53*u**3.
119*u**3
Collect the terms in 9*l + 2*l + 6*l.
17*l
Collect the terms in -26*h + 11*h + 14*h.
-h
Collect the terms in 183*o**2 + 175*o**2 - 359*o**2.
-o**2
Collect the terms in 17*m**2 - 28*m**2 + 11*m**2 + 8*m**3 - 12*m**3.
-4*m**3
Collect the terms in 3*o - 2*o - 142*o**2 - o**3 - o.
-o**3 - 142*o**2
Collect the terms in 498 - 247 - 251 + 4*l**3.
4*l**3
Collect the terms in -6*z**3 + 16*z - 16*z + 8*z**3.
2*z**3
Collect the terms in 1 + 285*x - 196*x - 1.
89*x
Collect the terms in -x**3 + x**3 + 6*x**3.
6*x**3
Collect the terms in -5867*j**2 + 11771*j**2 - 5888*j**2.
16*j**2
Collect the terms in -3*n + 6*n + 15*n**3 - 3*n.
15*n**3
Collect the terms in 1 - 1 + 312*m - 367*m.
-55*m
Collect the terms in 309 - 197 - 112 - 2*a + 3*a.
a
Collect the terms in 34*t + 137 - 137.
34*t
Collect the terms in -158*x**2 + 83*x**2 + 80*x**2.
5*x**2
Collect the terms in -107 + 222 - 105 + 2*u**2.
2*u**2 + 10
Collect the terms in -12*y**3 - 14*y**3 - 20*y**3 + 45*y**3.
-y**3
Collect the terms in 3 - 1 - 2 + 5*n**2.
5*n**2
Collect the terms in -12*z**2 + 15*z**2 - 13*z**2 - 5*z**2.
-15*z**2
Collect the terms in 2*n + n - 9*n + n.
-5*n
Collect the terms in -16*h - 7*h - 12*h - 14*h.
-49*h
Collect the terms in 9*r**2 - r**2 + r**2 - 2*r**2 - 3*r**2.
4*r**2
Collect the terms in 52*y + 137*y + 158*y.
347*y
Collect the terms in 2*h - 4*h - 3*h + 8*h.
3*h
Collect the terms in 2*p**3 + 18*p**3 - 8*p**3.
12*p**3
Collect the terms in 5*x - 17*x - 4*x**2 + 9*x + 13*x**2.
9*x**2 - 3*x
Collect the terms in 1 + 5 - 6 - 17*j**2.
-17*j**2
Collect the terms in d**2 - 7*d**3 + 3*d**3 - d**2.
-4*d**3
Collect the terms in -15*s - 18*s - 4*s - 20*s.
-57*s
Collect the terms in 41*j**2 + j**3 - 69*j**2 + 28*j**2.
j**3
Collect the terms in 1 - 48*u**3 - 2 - 18*u**3.
-66*u**3 - 1
Collect the terms in -228*d + 29*d - 75*d.
-274*d
Collect the terms in -2 + 0 + 2 + 29*c.
29*c
Collect the terms in 41*l**3 - 11*l**3 + 20*l**3.
50*l**3
Collect the terms in -1 + 1 + 107*b - 3*b**3 - 34*b.
-3*b**3 + 73*b
Collect the terms in -55*z**2 - 83*z**2 - 3*z**2 + 4*z**2.
-137*z**2
Collect the terms in -72*v**2 - 76*v**2 + 4*v**3 + 5*v**3 + 148*v**2.
9*v**3
Collect the terms in 36 - 16 + 30 - n + 2*n.
n + 50
Collect the terms in 67341 - 67341 - 5*h**2.
-5*h**2
Collect the terms in 0 - 27*l + 0 + 7*l.
-20*l
Collect the terms in -103744 + 103744 - 3*z + 6*z.
3*z
Collect the terms in 20*a**3 - 52*a**3 + 38*a**3.
6*a**3
Collect the terms in j**2 + 4*j**2 + 6*j**2.
11*j**2
Collect the terms in -8*z**2 - 2*z**2 + 4*z**2.
-6*z**2
Collect the terms in 11*z**3 - 33*z**3 - 13*z**3.
-35*z**3
Collect the terms in 2*b**3 + 0*b**3 + 14 - 14.
2*b**3
Collect the terms in 4*h**2 + 1996*h - 1996*h.
4*h**2
Collect the terms in 124 + 6*v**2 - 124.
6*v**2
Collect the terms in 6*a**2 - 5*a**2 + 5 + 2*a**2 - 4*a**2.
-a**2 + 5
Collect the terms in 9*y**2 - 9*y**2 - y**2 - 5*y**2.
-6*y**2
Collect the terms in 26*c + 47*c - 14*c + 37*c.
96*c
Collect the terms in 9*q**3 - 17*q**3 + 9*q**3 + q**3.
2*q**3
Collect the terms in 16*k - 8*k - 9*k - 8*k.
-9*k
Collect the terms in 301*i**2 - 301*i**2 + 0*i**3 + 3*i**3.
3*i**3
Collect the terms in 2*s**2 + 23*s**2 + 58*s**2.
83*s**2
Collect the terms in 113*a**2 - 168*a**2 - 695*a**2.
-750*a**2
Collect the terms in 0*u - 5*u + 7*u.
2*u
Collect the terms in 19*n**2 + 15*n**2 + 4*n**2.
38*n**2
Collect the terms in -8*v**2 - 18*v**2 + 7*v**2.
-19*v**2
Collect the terms in -42*x**2 - x**3 - 8*x**3 + 42*x**2.
-9*x**3
Collect the terms in 15*x - 29*x + 8*x - 2*x + 9*x + x.
2*x
Collect the terms in -6*v**3 + 776688 - 776688.
-6*v**3
Collect the terms in 583*z - 279*z - 310*z.
-6*z
Collect the terms in -3*h - h + 14*h.
10*h
Collect the terms in 253*s - 86 + 42 - 252*s + 44.
s
Collect the terms in 147 - u + 140 - 287.
-u
Collect the terms in 6001 - 4*j**3 - 6001.
-4*j**3
Collect the terms in -2517 + 8*n**3 + 2517.
8*n**3
Collect the terms in 2*y - 19*y - 5*y - 6*y.
-28*y
Collect the terms in -19*j**3 - 22*j**3 - j**3 - 18*j**3 + 62*j**3.
2*j**3
Collect the terms in -52*o**2 + 99*o**2 - 46*o**2.
o**2
Collect the terms in 10*t - 45 + 2*t + 3*t + 41.
15*t - 4
Collect the terms in -3*a**2 + 17 - 16 + 2*a**2 - 11*a**2.
-12*a**2 + 1
Collect the terms in -906 + 3*y - 899 + 2701 - 896.
3*y
Collect the terms in -9*t**3 - 3922502*t**2 + 3922502*t**2.
-9*t**3
Collect the terms in 0 + 0 - 72*v**3.
-72*v**3
Collect the terms in 1 + 1 - 2 + 18*r.
18*r
Collect the terms in 199 - 199 + 2*t**2.
2*t**2
Collect the terms in q**2 - 339*q - 3*q**2 + 339*q.
-2*q**2
Collect the terms in -4*t - 5*t + 17*t - 5*t.
3*t
Collect the terms in 2*r**2 + 14287*r - 14287*r.
2*r**2
Collect the terms in 8*i - 3*i + 4*i.
9*i
Collect the terms in 8*t + 10*t + 188*t.
206*t
Collect the terms in 63 + 107*f - 63.
107*f
Collect the terms in -212*r**2 + 114*r**2 + 112*r**2.
14*r**2
Collect the terms in 462 + m - 151 - 159 - 152.
m
Collect the terms in -13*h**2 - 13*h**2 - 8*h**2 + 35*h**2.
h**2
Collect the terms in 74*k**3 - 151*k**3 + 85*k**3.
8*k**3
Collect the terms in -27*v**3 - 86*v**3 - 61*v**3 - 1.
-174*v**3 - 1
Collect the terms in -4 - 9*w + 4 + 57*w.
48*w
Collect the terms in -6*d**2 - 6*d**2 + 14*d**2 - 3*d**2.
-d**2
Collect the terms in 0 + 216*b**3 + 0 - 225*b**3.
-9*b**3
Collect the terms in 1148*p**2 + 1126*p**2 - 2276*p**2.
-2*p**2
Collect the terms in -a + 12*a - 7*a + 10*a.
14*a
Collect the terms in -51*s**2 + 148*s**2 - 70*s**2.
27*s**2
Collect the terms in -9*j + 19*j + 0*j.
10*j
Collect the terms in 78 - 30 - 25 - 23 + 13*m**2.
13*m**2
Collect the terms in 5941*i**3 - 1978*i**3 - 1983*i**3 - 1981*i**3.
-i**3
Collect the terms in -7*y**2 + 11*y**2 + 7*y**2.
11*y**2
Collect the terms in -17*u**2 + 0*u**2 - 5*u**2.
-22*u**2
Collect the terms in -8 - 132*z + 8.
-132*z
Collect the terms in -144*c**2 + 92*c**2 + 59*c**2.
7*c**2
Collect the terms in 0*o + 18 + 24 - 42 + 6*o.
6*o
Collect the terms in 0 + 0 - 46*j.
-46*j
Collect the terms in 32*n - 62 + 62.
32*n
Collect the terms in 5*u**3 + 3*u**3 + 6*u**3 - 6*u**3.
8*u**3
Collect the terms in 4*x**3 + 20*x**3 - 5*x**3 + 7*x**3.
26*x**3
Collect the terms in 7*h - 28*h**2 + 10*h**2 + 12*h - 22*h.
-18*h**2 - 3*h
Collect the terms in -9*s**3 - 2*s**3 - 4*s**3.
-15*s**3
Collect the terms in -242*l**2 - 4*l**2 - 119*l**2.
-365*l**2
Collect the terms in 17*i**2 + 365 - 365 - 19*i**2.
-2*i**2
Collect the terms in 105*a - 2 + 2.
105*a
Collect the terms in 12*r**2 - 126*r**2 - 8*r**3 - 60*r**2 + 10*r**3.
2*r**3 - 174*r**2
Collect the terms in -260*k**2 + 2*k**3 + 260*k**2.
2*k**3
Collect the terms in -236*j**3 - 910*j**3 - 381*j**3.
-1527*j**3
Collect the terms in -v + 7*v + 2*v + 12*v.
20*v
Collect the terms in 21*y**2 - 8*y**2 - 13*y**2 + 18*y**3.
18*y**3
Collect | {
"pile_set_name": "DM Mathematics"
} |
f**2 - 28*f + 56. Let v(x) = 11*x**2 + 5*x - 10. Let h(o) = -28*v(o) - 5*z(o). Let p(d) = 3*d. Determine h(p(w)).
-72*w**2
Let x(z) = 5*z**2. Let t(m) = 3435*m**2. Calculate t(x(o)).
85875*o**4
Let q(n) = -2*n. Let x(w) = 50*w**2 + 511*w - 511*w. What is q(x(f))?
-100*f**2
Let r(g) = -2*g**2. Let l(h) = -27*h**2 + 27. Give l(r(y)).
-108*y**4 + 27
Let q(p) = 2*p**2. Let l be (12/(-10))/((-2)/5). Let k(c) be the second derivative of 1/12*c**4 + 0*c**l + 0*c**2 + 0 + 2*c. What is q(k(s))?
2*s**4
Let h be -2 + 24/((-3)/(-1)). Let u(d) = -14*d + 9*d + h*d. Let z(v) = v**2 + 11*v - 11. Let k(n) = 2*n - 2. Let o(s) = 11*k(s) - 2*z(s). Calculate o(u(m)).
-2*m**2
Let k(y) = -7*y - 6. Let w(c) = -6*c - 5. Let b(d) = -5*k(d) + 6*w(d). Let z(f) = 3*f**2. Calculate z(b(n)).
3*n**2
Let o(n) = -n. Let f(k) = 383*k**2. Determine o(f(z)).
-383*z**2
Suppose 7*a + 2 = 5*a. Let t(f) = f. Let p(x) be the first derivative of -7*x**2/2 - 2. Let m(w) = a*p(w) - 5*t(w). Let z(i) = -2*i. What is m(z(n))?
-4*n
Let k(l) be the third derivative of 0*l**3 - 1/8*l**4 + 0*l + 0 + l**2. Let x(f) be the first derivative of -f**3/3 + 2. What is x(k(h))?
-9*h**2
Let r(k) be the first derivative of 3 + 3*k**3 - 2*k + 2*k - 2*k**3. Let a(y) = -2*y. What is a(r(p))?
-6*p**2
Let m(o) = 0*o + o - 3 + 4*o. Let w be 78/24 - (-2)/(-8). Let a(r) = -6*r + 4. Let b(v) = w*a(v) + 4*m(v). Let c(j) = -5*j**2. Calculate c(b(q)).
-20*q**2
Let x(q) = -q**3 + 2*q**2 - q. Let z be x(1). Let d(v) = 3*v + z + 0. Let l(m) be the third derivative of m**5/30 - 16*m**2. Calculate l(d(u)).
18*u**2
Let h(v) = -6*v. Let y(r) be the third derivative of r**8/20160 + r**5/60 + 5*r**2. Let i(d) be the third derivative of y(d). Give h(i(x)).
-6*x**2
Let l(h) = 5*h**2. Let z(f) = -1669*f + 1669*f + 2*f**2. Determine l(z(b)).
20*b**4
Let k(s) = -7*s**2. Let n(q) = 18*q. Let l(y) = -y. Let b(r) = 12*l(r) + n(r). Calculate b(k(j)).
-42*j**2
Let n(o) = -5*o**2 + 2*o**2 + 5*o**2. Let v(k) be the second derivative of -k**4/4 - 2*k. Give n(v(q)).
18*q**4
Let m(n) be the first derivative of n**2/2 + 3. Let w(d) be the first derivative of 3 - 7/2*d**2 + 0*d. Determine w(m(l)).
-7*l
Let l(s) = 5*s + 0*s - 8*s + 5*s. Let x(v) = 3 + v**2 - 3. Give l(x(b)).
2*b**2
Let j(k) = -5*k**2 - 10*k + 10. Let f(l) = l - 1. Let o(r) = 10*f(r) + j(r). Let m(n) = -3*n**2. Calculate o(m(z)).
-45*z**4
Let j(h) = -6*h - 5. Let t(a) = -7*a - 6. Let r(c) = -6*j(c) + 5*t(c). Let n(i) = i - 1. Let k(s) = -15*s + 11. Let y(m) = 2*k(m) + 22*n(m). Determine r(y(u)).
-8*u
Let o(i) = 2*i + 33. Let c(h) = 5*h**2. What is c(o(x))?
20*x**2 + 660*x + 5445
Let l(g) = 2*g + g**2 - 2*g. Let n(a) = -2*a - 4. Let s be n(-4). Let r(h) = h**2. Let o(y) = 2*y**2. Let z(w) = s*r(w) - o(w). Determine l(z(b)).
4*b**4
Let w = 13 + -6. Let q(d) = 11*d**2 - 7*d + 7. Let v(x) = 5*x**2 - 3*x + 3. Let m(a) = w*v(a) - 3*q(a). Let y(z) = 3*z**2. Determine m(y(k)).
18*k**4
Let a(z) = -z**2 + 0*z**2 + 2*z**2 - 3*z**2. Let f(b) be the first derivative of -b**3/6 + b - 1. Let y(u) be the first derivative of f(u). Determine y(a(m)).
2*m**2
Let s(g) = -62*g + 3*g**2 + 62*g. Let j(x) = -2*x - 4*x - 9*x. Let i(p) = p. Let k(a) = 18*i(a) + j(a). Calculate s(k(c)).
27*c**2
Let s(i) = 21*i. Let q(g) = 10*g**2. What is s(q(m))?
210*m**2
Let s(k) = k**2. Let x = 1 - 2. Let c(f) = 2*f**2. Suppose 0 = v - 3. Let z(i) = v*s(i) + x*c(i). Let h(y) = 4*y**2. Calculate h(z(r)).
4*r**4
Let a(i) = i + 1. Let o(n) = 5*n + 6. Let t(y) = 6*a(y) - o(y). Let r(v) = 4*v**2 + 4*v**2 + 4 - 4. What is r(t(k))?
8*k**2
Let p = 7 + -5. Let s(v) = 1 + p*v**2 - 1. Let l(x) = -20*x. Let n(h) = -7*h. Let z(j) = -6*l(j) + 17*n(j). What is z(s(y))?
2*y**2
Let u(p) = -5*p**2 - 2. Let t(w) = 21*w**2 + 9. Let y(b) = 2*t(b) + 9*u(b). Let j(f) = f**2. What is y(j(c))?
-3*c**4
Let j(w) = 178*w**2 + 2*w. Let z(f) = -f. Determine j(z(l)).
178*l**2 - 2*l
Let x(h) = -39837*h**2. Let b(m) = 2*m**2. Give b(x(j)).
3173973138*j**4
Let t(l) = -9*l**2. Let j(o) = -17*o**2. Let x(u) = 6*j(u) - 11*t(u). Let b(n) be the first derivative of -n**2 + 5. What is b(x(c))?
6*c**2
Let y(v) = 3*v**2. Let i(z) be the first derivative of 16*z**3/3 + 33. What is y(i(w))?
768*w**4
Let k(i) = -91*i + 26. Let b(x) = -10*x + 3. Let s(a) = 26*b(a) - 3*k(a). Let o(f) be the first derivative of -f**2/2 - 3. Calculate o(s(l)).
-13*l
Let r(j) be the third derivative of -2*j**5/15 + 8*j**2. Let i(f) be the first derivative of -f**3/3 - 1. Determine r(i(u)).
-8*u**4
Let c(l) = 2*l**2 - 71*l. Let b(o) = o. Give c(b(y)).
2*y**2 - 71*y
Let r(f) be the second derivative of -f**6/240 + 5*f**4/12 + 2*f. Let u(v) be the third derivative of r(v). Let y(z) = -3*z. What is u(y(p))?
9*p
Let u(z) = 2*z. Let o(q) be the first derivative of 0*q**2 + 1/120*q**5 - 2 - 1/3*q**3 + 0*q + 0*q**4. Let f(x) be the third derivative of o(x). Give u(f(n)).
2*n
Let y(m) = -2*m**2. Let t(r) = -400*r. Determine y(t(f)).
-320000*f**2
Let i(q) be the second derivative of -5*q**3/6 + 8*q. Let p(t) = t**2 - 3*t + 3*t. Calculate p(i(y)).
25*y**2
Let r(q) = 3*q. Let c(b) = -15*b**2 - 11*b - 11. Let a(p) = 4*p**2 + 3*p + 3. Let l(h) = -22*a(h) - 6*c(h). Determine l(r(g)).
18*g**2
Let x(j) = 130*j**2 - 2. Let f(m) = 3*m - 12. What is x(f(s))?
1170*s**2 - 9360*s + 18718
Let u(m) = 2*m**2. Suppose 2*g - 7 = 3, 0 = 5*j + 3*g - 155. Let o(h) = h + 1. Let f(w) = -6*w - 7. Let t(v) = j*o(v) + 4*f(v). Calculate u(t(s)).
32*s**2
Let i(r) = -2*r. Let k(v) = -3*v. Let o be k(-4). Suppose 2*b + 2*h = 0, 3*b - 5*h + 2*h = o. Let y(l) = b*l**2 + 0*l**2 + 0*l**2. Determine i(y(n)).
-4*n**2
Let b(x) = -2*x**2. Suppose 12*a = 11*a. Let i(r) be the third derivative of -r**2 + 0*r**3 + a*r + 0 - 1/24*r**4. Calculate i(b(p)).
2*p**2
Let h(j) = 3*j**2. Suppose -6*a + 5*a + 4 = 0. Let w(k) = 0*k - 2*k + 0*k + a*k. Give h(w(v)).
12*v**2
Let g = -6 - -10. Let y(q) be the first derivative of 3*q**2 - 2 - g*q**2 + 0. Let z(j) = j**2. What is y(z(k))?
-2*k**2
Let h(j) = 14*j**2. Let a(w) = 86*w. Calculate a(h(i)).
1204*i**2
Let l(a) = 15*a - 5*a - 8*a - 7*a. Let i(w) = 12*w. Determine l(i(m)).
-60*m
Let o(d) = -d**2 - 6. Let a(h) = -2*h**2 - 11. Let y = 1 + -7. Let i(f) = y*a(f) + 11*o(f). Let n(k) be the second derivative of -k**3/3 - 5*k. Give n(i(x)).
-2*x**2
Let o(n) = 46*n. Let h(m) = m**2. Calculate h(o(x)).
2116*x**2
Let h(t) = 2*t**2. Let f(a) be the third derivative of -11*a**4/24 + a**2. Determine h(f(w)).
242*w**2
Let f(z) = 86*z**2. Let h(g) = 2*g. Give f(h(j)).
344*j**2
Let o(d) = -7*d**2 + 5*d + 3. Let k(h) = -h. What is o(k(a))?
-7*a**2 - 5*a + 3
Let n(p) = 5*p**2 - 4. Let b(r) = 57*r**2. Give n(b(y)).
16245*y**4 - 4
Let w(z) = 6*z**2. Let r(b) be the second derivative of -b**4/12 - b**3/6 + b**2/2 + 2*b. Let s(q) = 2*q - 2. Let v(f) = 2*r(f) + s(f). Calculate w(v(p)).
24*p**4
Let u(n) = 46*n + 11. Let o(x) = 15*x + 4. Let v(b) = 11*o(b) - 4*u(b). Let c(g) = g**2. Determine v(c(i)).
-19*i**2
Suppose -2*c + 9 = c. Let v(q) = c*q**2 - 2*q**2 + 0*q**2. Let g(t) = -3*t. Let j(b) = -2*b. Let f(o) = -4*g(o) + 5*j(o). Give v(f(n)).
4*n**2
Let v(i) = i - 4. Let l(t) = t - 3. Let u(p) = 4*l(p) - 3*v(p). Let r(j) = 3*j**2 + 0*j**2 - 4*j**2. Calculate r(u(w)).
-w**2
Let a(w) = -w. Let f(l) be the first derivative of -l**4/6 - l - 1. Let x(t) be the first derivative of f(t). Determine a(x(i)).
2*i**2
Let i(b) = 18*b**2. Let w(a) = 192*a. What is w(i(g))?
3456*g**2
Let t(y) = -3*y**2. Suppose 5*u = 3*k - 6, 5*k + 5*u = -0*u + 10. Let a(z) be the first derivative of 3 + 2*z**2 + 3*z - 3*z**k - 3*z. Determine a(t(d)).
6*d**2
Let y(v) = -2*v - 3. Let j(l) = 2*l**2. What is y(j(w))?
-4*w**2 - 3
Let r(c) be the first derivative of 5*c**3/3 + 2*c - 7. Let y(f) be the first derivative of r(f). Let a(o) = o. What is y(a(n))?
10*n
Let q(b) = -2*b**2 - 3. Let k(w) = 45*w**2 + 65. Let a(v) = -6*k(v) - 130*q(v). Let t(n) = 3*n. Give a(t(x)).
-90*x**2
Let u = 25 - -19. Let d(w) = -44 + 3*w + u. Let s(h) = 0*h**2 - 3*h**2 + 5*h**2. Calculate d(s(z)).
6*z**2
Let a(r) = 5*r. Let c(s) be the third derivative of 2*s**2 + 0*s**3 + 0*s**4 + 0 - 1/60*s**5 + 0*s. What is c(a(x))?
-25*x**2
Let v(l) = 2666*l**2. Let r(j) = -3*j. Determine r(v(w)).
-7998*w**2
Let y(c) = 10*c**2. Let p(a) = -207*a. What is y(p(r))?
428490*r**2
Let | {
"pile_set_name": "DM Mathematics"
} |
3/6 - 153*u**2. What is h(-12)?
7
Suppose 2 = -3*m + m, 4*f - 4*m = -36. Let l(w) = w**3 - 5*w**2 + 7*w - 4. Let i be l(4). Let h = i + f. Let g(v) = 2*v**2 + 3*v + 2. What is g(h)?
4
Let k(i) = 3*i**2 - 17*i + 34. Let o(b) = -b**2 + 6*b - 11. Let x(u) = -2*k(u) - 7*o(u). Suppose -4*r - w = -0*w - 25, -r = -3*w - 3. Calculate x(r).
-3
Let o be (-5)/((-10)/(-8))*(-1)/4. Let d(f) be the second derivative of 3*f**5/40 + 5*f**3/6 - 4*f. Let b(h) be the second derivative of d(h). Give b(o).
9
Let i(z) = 2*z - 7. Let o(u) = u - 3. Suppose c - 8 = 5*c, -m - 4*c = 1. Let s(r) = m*o(r) - 4*i(r). Calculate s(6).
1
Let w(m) be the third derivative of 1/120*m**6 + 3*m**2 + 0*m + 1/15*m**5 - 1/6*m**4 + 0 + 7/6*m**3. What is w(-5)?
2
Let h(r) be the third derivative of -7*r**4/12 - r**3/2 + 3*r**2. Determine h(-3).
39
Let s(q) = -q**2 + q**3 - 2*q**3 - 1 + 2*q - 9*q**3. Suppose 5*j - 74 = -24. Suppose l = 3*v - 6, 2*l - j = -4*v + 4*l. What is s(v)?
-10
Let y(b) be the third derivative of b**6/120 - b**5/20 - b**4/24 - b**3/2 + 2*b**2 - 152. Give y(4).
9
Let o(z) = z**3 - 6*z**2 - z + 6. Let a be o(6). Let v(l) = 16 - 19 + 0*l + l + a*l. Give v(7).
4
Suppose -7*y = -3*y - 156. Let p(w) = -2*w - 18 + y - 14. What is p(9)?
-11
Suppose -p + 3 = -4*u, -p + 15 = 4*p + 4*u. Let o(a) = p*a + 0*a**2 + 2*a**2 - a**2 + 4. Give o(-4).
8
Suppose 29*q = 8*q + 84. Let f(g) = 125*g + 70. Let z(r) = -14*r - 8. Let a(w) = q*f(w) + 35*z(w). Let x = 1 - 2. Calculate a(x).
-10
Let q(w) = -7*w - 3. Let m(s) = -32*s - 7. Let f(n) = 8*n + 2. Let b(c) = -9*f(c) - 2*m(c). Let p(j) = -5*b(j) + 6*q(j). Give p(5).
-8
Let r(i) be the second derivative of i**7/840 + i**6/90 - i**5/120 + i**4/6 + 13*i**3/6 + 6*i. Let t(g) be the second derivative of r(g). What is t(-5)?
-16
Let c be (2/3)/((-4)/(-24)). Let t(q) = 11*q**3 + 4*q**2 + 6*q + 1. Let y(n) = -3*n**3 - n. Let i(k) = t(k) + 4*y(k). Determine i(c).
9
Let z = 47 + -43. Let t(n) be the first derivative of 4 + 0*n**3 + 0*n + 1/4*n**z - 1/2*n**2. What is t(2)?
6
Let b(l) = -8*l**2 + 8*l - 5. Let m(s) = -95*s**2 + 95*s - 60. Let v(q) = -35*b(q) + 3*m(q). Let z(y) = y**2 + 1. Let j(k) = v(k) + 4*z(k). Give j(5).
-1
Let n(j) = 4 - 3*j - j**2 + 3*j. Let q = -945 - -942. Calculate n(q).
-5
Let h = 62 + -58. Suppose -9 = -3*a - 3. Let c(y) = y**3 + y + 1. Let v(n) = -3*n**3 + 4*n**2 + 2. Let b(k) = a*c(k) + v(k). Calculate b(h).
12
Let o be 17/((-187)/264)*(-2)/4. Let t(n) = n**3 - 11*n**2 - 13*n + 14. Calculate t(o).
2
Let s(z) = z**3 + 12*z**2 + 2*z + 31. Let h be s(-12). Let u(a) = -a - 8. Determine u(h).
-15
Let z = -70 - -147. Let j = z + -77. Let g(w) = -w**3 - w - 22. Give g(j).
-22
Let f(q) = -q**3 - 2*q**2 + 2*q - 1. Let p(s) = -s**2 - 11*s + 23. Let z be p(2). Calculate f(z).
2
Let x(n) be the third derivative of n**4/12 + 2*n**3/3 - n**2. Let j(b) = 7*b - 36. Let s be j(8). Let i be (-3 + 65/s)*12. Determine x(i).
10
Let k(w) = 4*w**3 - 8*w**2 + 4*w - 4. Suppose 0 = 3*s + d - 4, 11*d = 4*s + 8*d - 14. Give k(s).
4
Let c(w) = 2*w - 4. Let q be c(4). Suppose -7 = -o - q*m, 4*o - 5 = 2*o + m. Let g(d) = -4 + 1 - d**2 + 0 + 2 - o*d. Calculate g(-4).
-5
Let d(w) = -w**3 - 7*w**2 + 5. Let x be d(-7). Let f(c) = -c + 1. Let u(r) = -r**2 + 6*r - 3. Let h(s) = -2*f(s) - u(s). Determine h(x).
6
Let j(z) = -z**2 + 4*z + 1. Let v(d) = d**2 + 16*d + 17. Let n be v(-15). Let k be (n + 1)*(-32)/(-24). Suppose k*x - x = 18. Give j(x).
-11
Suppose -i = -2*v + 13, 4*i + 43 = 4*v - 1. Let r = 15 + i. Suppose -r*o + 4*o = 2. Let t(n) = 7*n**3 + n**2. What is t(o)?
-6
Let z(t) be the second derivative of -1/3*t**3 + 5*t + 1/12*t**4 + 0 - 5/2*t**2. Determine z(4).
3
Let v(o) = -o**3 + 8*o**2 + 3*o - 15. Suppose -2*w - 5*k = -11, 2*w + 3 = -2*k + 17. What is v(w)?
9
Let a(p) = -p - 9. Let j be 27/(-6)*4/(-9). Suppose -j*n = -0*n. Suppose 2*u + 13 - 3 = n. Determine a(u).
-4
Let f(i) be the third derivative of -i**5/30 - 10*i**3/3 - 554*i**2. Calculate f(0).
-20
Suppose -2*s - 7 - 3 = 0. Let v(d) be the third derivative of -d**5/60 - d**4/6 + d**3 - d**2 + 982*d - 1. What is v(s)?
1
Suppose 4*v - 23*v - 171 = 0. Let k(z) = z**2 + 5*z + 9. Determine k(v).
45
Let r be 18/(-9)*(-6)/(4 - 1). Let l(q) = -q**2 + q + 9. Determine l(r).
-3
Let b(j) = -2*j**2 - j**2 + 3*j**2 + 4*j**2. What is b(2)?
16
Let z(b) = -6*b + 4*b + 5*b - 4*b - 3. Calculate z(-7).
4
Suppose -2*l + 2759 = 5*t, 4*l - 5*t - 4867 - 726 = 0. Let c = l + -943. Let n(a) = -c - 2*a + 448 - a**3 + 0*a - 3*a**2. Give n(-1).
-1
Let x(d) = -4*d**2 - 8*d - 5. Let u(q) = -3*q**2 - 9*q - 6. Let c(z) = 3*u(z) - 2*x(z). Calculate c(-7).
20
Let g(h) = -3*h**3 - 5*h**2 + 2. Let w(v) = -4*v**3 - 5*v**2 - v + 3. Let j(i) = 3*g(i) - 2*w(i). What is j(-5)?
-10
Suppose -5*d + 4 = -21. Suppose i + 12 = -3*i + 4*w, d*w = 2*i + 12. Let y(o) be the second derivative of 3*o**3/2 + o**2/2 - 49*o - 1. Determine y(i).
-8
Let k = 3 - -7. Suppose q = -2*g - 7, -2*g = -q + 3 - k. Let a(p) = p. Calculate a(q).
-7
Let i(o) = o - 2. Suppose -5*p + 8 + 47 = 0. Let a(f) = -10*f + 12 + f - p*f**2 - f**3 + 0*f**3. Let n be a(-10). Calculate i(n).
0
Let v(t) be the second derivative of 5*t + 0 + 1/20*t**5 + 1/3*t**3 + 1/3*t**4 + 2*t**2. Let s be v(-4). Let l(k) = k**2 + 4*k + 3. Determine l(s).
3
Let u(m) = -m**2 - 6*m + 4. Let z be 374/33*486/4. Let g be z/(-189) - 4/(-14). Determine u(g).
-3
Let r(j) = -j**3 + j**2 - j + 2. Let h be (-12)/14 + (-12)/(-14). Determine r(h).
2
Let k(f) = 5*f + 19. Let z(c) = -c + 2. Let l(x) = -k(x) - 3*z(x). Give l(-8).
-9
Let b(w) = 7*w. Let t(s) = -2*s**2 - 22*s - 59. Let p be t(-6). Give b(p).
7
Let u(h) = -h**2 - 1. Let q(a) = 3*a**2 - 9*a - 3. Let b(o) = q(o) - 4*u(o). Let c(p) = -3*p**2 + 4*p. Let n(i) = -2*b(i) - 5*c(i). Determine n(3).
1
Let z(x) = 2*x + 1. Let p(o) = o + 1. Let q(n) = -5*p(n) + 3*z(n). Calculate q(1).
-1
Let w(f) be the second derivative of f**4/12 + f**3/2 - f**2 + 42*f. What is w(-4)?
2
Let d = -5 + 11. Suppose 4*b - 14 = d. Let h(x) = -18*x**2 - 5 + 34*x**2 - 15*x**2 - 6*x + 3. Calculate h(b).
-7
Let w(z) = 13*z**2 + 3*z - 28. Let m(a) = 15*a**2 + 4*a - 29. Let b(g) = -6*m(g) + 7*w(g). Give b(7).
6
Let a(t) = -3*t - 9*t + 5*t + 18*t - 3*t - 1. Suppose -5*o = -4*d + 10 - 29, -5*d = -2*o + 11. Calculate a(d).
-9
Let y be -1 + -7*(-4 - -7). Let a = y - -27. Let o(s) = s**2 - 4*s - 2. What is o(a)?
3
Suppose 0 = -4*s - s + 25. Suppose 4*o + j - 99 = 0, 2*o = o + s*j + 30. Let z be 65/o + (-6)/(-15). Let t(m) = -m**3 + 2*m**2 + 3*m + 1. Give t(z).
1
Let p(k) = k**2 + 11*k + 4. Let o be p(-11). Suppose -b - 2*t = t + 15, -4*t - 36 = o*b. Let x(y) = 8*y - 4*y + 0 - 9 - 6*y. Give x(b).
3
Suppose 0 = 4*x + 4*g - 108, -x + 57 = -3*g - 2*g. Let r be x/(-15) - ((-124)/30 + 4). Let z(p) = p**2 + 2*p + 1. Calculate z(r).
1
Suppose -2*b + 0*x - 6 = 4*x, -4*x = -b - 9. Let c(y) = -7*y - 7. Let i(a) = 6*a + 6. Let w(z) = b*c(z) - 6*i(z). Calculate w(5).
-6
Suppose 0 = -11*y - 17 - 16. Suppose -4*m + 10 = x, x = 3*x + 2*m - 8. Let w(z) = -3*z - 3 + z**x - 4*z**2 - 1 - z**3. Give w(y).
5
Let o(a) be the first derivative of 4*a**2 + 6*a - 81. What is o(-4)?
-26
Let o(r) = -r**3 - 6*r**2 + 8*r - 9. Let m = 676 - 683. Give o(m).
-16
Let g(z) = 3*z**2 + 6*z + 54. Let i(n) = -7*n**2 - 12*n - 121. Let p(u) = -9*g(u) - 4*i(u). Let v = 2 - -2. Determine p(v).
-10
Let f(g) = -g**3 - 8*g**2 + 5*g - 37. Let d be f(-9). Let n(c) = -5*c**2 - 3*c - 1. Calculate n(d).
-3
Let q(t) = 23*t + 81. Let h(u) = -12*u - 43. Let i(o) = 11*h(o) + 6*q(o). What is i(-6)?
-23
Let a(f) = f**3 + 6*f + 15 - 9*f**2 + 6*f**2 - 6*f**2 + 0*f + f. What is a(8)?
7
Let r(b) = -2*b - 28. Let z be r(-15). Let y(p) = 1 + 5*p + 18*p**2 - 3*p - 25*p**z. What is y(-1)?
-8
Let y(s) = -54 + 116 - 3*s + 4*s - 60. What is y(-3)?
-1
Let c(w) = -w**2 - 10*w + 10. Suppose 880 = 129*v + 2170. Determine c(v).
10
Let r(v) = -v + 4. Let u be 3 + 1*(-2 + 0) + -3. Let n be (6 + -6)/((-4)/u). Determine r(n).
4
Let m = -29 + 33. Let o(j) be the first derivative of j**5/40 - j**4/12 - j**3 + 5. Let d(a) be the third derivative of o(a). Give d(m).
10
Suppose -f + 0*f + 3*v = 9, 2*f + 15 = 5*v. Let w(p) be the third derivative of -p**3 - 1/24*p**4 + 0 - 13*p**2 + 0*p. What is w(f)?
-6
Let s(j) = j**2 + 2*j + 7. Suppose -5*z + 3 = 5*r + 18, -3 | {
"pile_set_name": "DM Mathematics"
} |
Let u = t - 5. Let h = u - -11. Calculate the remainder when 2 is divided by h.
0
Suppose -5*a + 2*v = -193, 196 = 5*a - v + 2*v. Calculate the remainder when a is divided by 20.
19
Suppose -219*y + 1095 = -216*y. Calculate the remainder when y is divided by 61.
60
Suppose -d = -4, 3*y - d = 3 + 11. Suppose y*j = -13 + 67. Calculate the remainder when 26 is divided by j.
8
Let u = 277 + -138. Calculate the remainder when u is divided by 26.
9
Suppose -4*h - h + 35 = 0. Suppose -h*s + s - 90 = 0. Let b = s + 30. What is the remainder when b is divided by 9?
6
Suppose 2*w = 4*r + 18, -w + 6*w = r + 27. Suppose 39 = i - m, -w*i + 2*m + 207 = m. What is the remainder when i is divided by 15?
12
Let l be (-1575)/(-30)*4/2. Suppose 0 = j + 2*j - l. Let o = -21 + j. Calculate the remainder when o is divided by 4.
2
Let f(i) = -i + 3. Let q be f(3). Let j be 6 + (-8)/2 + 1. Let z = j + q. What is the remainder when 4 is divided by z?
1
Let w(m) = 25*m**2 - 6*m - 8. Let z be w(-6). Suppose 2*p = -6*p + z. What is the remainder when p is divided by 30?
26
Suppose 0 = -2*o - 3*p + 7, 5*o + 2*p - 22 = -p. Suppose 4*m - 341 = -o*b, -212 - 245 = -5*m + 4*b. Calculate the remainder when m is divided by 23.
20
Let f = -3 - -17. Let r = 125 - 122. Suppose 120 = d + 2*d + 3*a, 114 = 3*d - r*a. Calculate the remainder when d is divided by f.
11
Suppose -h = -3 - 2. Let s(i) = -i**3 - 9*i**2 - 5*i - 28. What is the remainder when (-5)/25 + 161/h is divided by s(-9)?
15
Let g = 66 - 40. Suppose 0 = -5*y - 2*c + 210, 0*c - 29 = -y - 3*c. What is the remainder when g is divided by (-3 + y/(-12))*(-6)/4?
6
What is the remainder when 16 is divided by (-14)/(-18) + -1 + 552/54?
6
Let g(i) = i**3 - 11*i**2 + 18*i + 14. Calculate the remainder when g(13) is divided by 31.
28
Suppose -g = -2*g + y + 45, -5*y - 78 = -2*g. Calculate the remainder when g is divided by 17.
15
Suppose 0*n = 2*n + 2. What is the remainder when 32 is divided by 11 - (-3)/(-1) - n?
5
Let p = 432 - 181. Calculate the remainder when p is divided by 42.
41
Let d(s) = 5*s**3 - s. Let v be d(1). Suppose 0 = v*k - 3*p + 159, 2*p - 4 + 2 = 0. Let h = k + 68. What is the remainder when 57 is divided by h?
28
Let f(m) = -m**2 - 2*m. Let z be f(-8). Let a = 129 + z. What is the remainder when a is divided by 28?
25
Suppose -13*z = 29 - 2551. Let d = 25 + 3. Calculate the remainder when z is divided by d.
26
Suppose 2*p = 18 - 0. Calculate the remainder when p is divided by (-69)/(-21) + 8/(-28).
0
Suppose 2*j + 20 + 28 = 2*y, 4*j - 136 = -4*y. Let l = 72 - -42. What is the remainder when l is divided by y?
27
Suppose 8*m - 18 = 6. Suppose -m*d = -2*p - 8, -3*p - 3 = -4*d + 7. What is the remainder when 6 is divided by p?
0
Suppose -13 = -8*a + 3. Suppose -2*z + z = -a*t - 167, 650 = 4*z + t. Calculate the remainder when z is divided by 33.
31
Suppose 9*b - 14*b + 4*f = -51, -4*b + 2*f = -42. Calculate the remainder when 9/6*344/12 is divided by b.
10
Suppose -3*s = -139 - 65. What is the remainder when s is divided by 10?
8
Let i = -12 - -23. Let o = 27 + -21. Calculate the remainder when (-5)/10 + 249/o is divided by i.
8
Suppose u + 2*r = 30, -22 = -2*u + 2*r + 32. Suppose -u*b + 26*b = -138. What is the remainder when b is divided by 9?
6
Let h(y) = 3*y + 38. Let a be h(-12). Let b = 9 + -6. Suppose 0 = q + 3*g - b, -3*q + 4*g = a*q - 34. Calculate the remainder when q is divided by 2.
0
Let q be (3 + 376/(-12))*-3. Let b = q + -28. What is the remainder when b is divided by 15?
12
Let x = -256 + 269. Calculate the remainder when x is divided by 8.
5
What is the remainder when 112 is divided by 4/(476/92 + -5)?
20
Let m = -103 - -188. Let o(s) = -s**2 + 30*s - 43. Let y be o(30). Let i = y + m. What is the remainder when i is divided by 11?
9
Suppose 3*c + 24 = -c. Let l(a) = a**2 - 4*a + 6. What is the remainder when 68*(-1)/(8/c) is divided by l(6)?
15
Let v = -73 + 63. What is the remainder when 88 is divided by (-6)/v - 1470/(-50)?
28
Suppose -12 = -30*m + 27*m. Let u = 18 + m. Calculate the remainder when (90 - 2) + (-2 - 0) is divided by u.
20
Suppose -3*y = 6, 9*m - 5*y = 11*m - 16. What is the remainder when 135 is divided by m?
5
Suppose -1 = -2*z + z. Let q(i) = 7*i**2 - 2*i + 1. Let y be q(z). Suppose 3*r + y = 0, 4*g - 4*r + 9 - 69 = 0. Calculate the remainder when 38 is divided by g.
12
Suppose -40*t = 6*t - 9844. Calculate the remainder when t is divided by 54.
52
Let v(x) = 2*x**2 - 35*x - 3. Let g be v(18). What is the remainder when (-76*1/(-6))/(10/g) is divided by 12?
7
Suppose -y - 8 = -2*y. Calculate the remainder when ((-150)/48 - -3)*-248 is divided by y.
7
Let l = -5 - -7. Suppose 0 + 4 = 4*x. Calculate the remainder when (7 - 8)*(-5 + x) is divided by l.
0
Let v(y) be the first derivative of y**3/3 - 3*y**2/2 - 6*y - 1. Calculate the remainder when v(5) is divided by 2/3*24/16.
0
Let h(a) = -a + 9. Let l be h(4). Suppose 80 = 6*t - 2*t + 4*u, -l*u = -5*t + 130. What is the remainder when 68 is divided by t?
22
Let v(l) = -10*l + 123. Calculate the remainder when v(8) is divided by 19.
5
Suppose 0 = -6*w - 0*w - 744. Let t be (-5 - -3)*(-67)/(-2). Let m = t - w. Calculate the remainder when m is divided by 30.
27
Let x(r) = 8*r**2 - r - 14. What is the remainder when 175 is divided by x(-3)?
53
Suppose -3*s = -5*s - 134. Let c = s - -103. Calculate the remainder when c is divided by 13.
10
Let h(b) = -6*b - 42. Calculate the remainder when 149 is divided by h(-12).
29
Let k = -84 + 90. Calculate the remainder when 53 is divided by k.
5
Let b(z) = 2*z**3 - 15*z**2 - 16*z - 19. Suppose 0 = 5*c + 3*o - 129, -3*c + 87 = -0*c - 3*o. What is the remainder when b(9) is divided by c?
26
Let g(l) = -5*l + 59. What is the remainder when g(4) is divided by 25?
14
Let d = -19 - -35. Let a(m) = -m**2 - 10*m + 25. What is the remainder when a(-7) is divided by d?
14
Suppose k = 5*k. Suppose -i = -2*q + 3*i + 166, k = 5*q + 4*i - 471. What is the remainder when q is divided by 23?
22
Suppose 15 = -5*n + a, n + n - 5*a = 17. Suppose 5*k - 59 = -3*b, 3*b = -2*k + 12 + 8. What is the remainder when k is divided by 3 - (3/4)/(n/16)?
1
Let s(j) = -j - 24. Let h(q) = 2*q + 36. Let f(v) = -5*h(v) - 8*s(v). What is the remainder when f(-21) is divided by 8?
6
Let l = -4 + 7. Suppose 0*m - 39 = -l*m. Calculate the remainder when (-45 + -31)*1*2/(-4) is divided by m.
12
Suppose 5*s - 188 = 3*s + l, 461 = 5*s + 2*l. Calculate the remainder when s is divided by 22.
5
Suppose -2*a + 16 = 2*k + k, a = -5*k + 8. Suppose 0 = -3*r + 2 - a, 0 = -4*n - r + 22. What is the remainder when -28*2/(-1*2) is divided by n?
4
Let v = 6 - -48. Suppose -2*z = 7*z - 360. Suppose 4*n = 2*f - 8, 0 = 2*f + 3*n - z - 3. Calculate the remainder when v is divided by f.
12
Let r(m) = -4*m**3 - 10*m**2 - 25*m - 2. Calculate the remainder when r(-4) is divided by 58.
20
Let y(w) = w**3 + 4*w**2 - 10*w - 8. Calculate the remainder when y(-3) is divided by 20.
11
Let j = 6 - 6. Suppose j = -2*n - 4*z - 14, 5 = 6*n - n + 2*z. Calculate the remainder when 10 is divided by n.
1
Let u be (-10)/(-20)*(1 - 1). Suppose -42 = -3*g - u*g - 3*r, 4*r = 5*g - 43. Calculate the remainder when g is divided by 2.
1
Let v(u) = -u**2 - 41. Let r be v(-9). Let z = -78 - r. Calculate the remainder when 84 is divided by z.
40
Suppose 53 = 2*x - 5. Suppose -a + 7 = -2*q, 3*a = -140*q + 144*q + 19. Calculate the remainder when x is divided by a.
4
Calculate the remainder when 123 is divided by (-2 + 3)*25/15*15.
23
Suppose s + 2*x = 27, -3*x = -0*x - 6. Let z(p) = -12*p + 4. Let w be z(3). Let k = 35 - w. Calculate the remainder when k is divided by s.
21
Let r = -202 - -216. Calculate the remainder when 21 is divided by r.
7
Let h(z) = 2*z + 4. Suppose -24 = m - 4*y - 6, 5*m + 15 = 5*y. Suppose -b + 4 + m = 2*l, 4*b - 18 = -5*l. Calculate the remainder when h(0) is divided by l.
0
Let y(w) = -22*w - 6. Let a be y(-4). Let i = a - 60. What is the remainder when 197 is divided by i?
21
Let z(k) = k - 5. Let c be z(6). Let s = 2 + c. What is the remainder when s/(-4) + 77/28 is divided by 1?
0
Let y(h) = 18*h. Let b = 34 - 32. What is the remainder when 140 is divided by y(b)?
32
Let i be 1/((-1)/17) + 2. Suppose 20*t - 225 = 5*t. Calculate the remainde | {
"pile_set_name": "DM Mathematics"
} |
3*j, 0 = -i - j + 192. What is the highest common factor of i and 56?
7
Let g(j) = -j**3 - 6*j**2 + 14*j - 1. Let d(o) = -o**3 + 5*o**2 - 8*o + 8. Let y be d(4). Let l be g(y). What is the greatest common factor of 65 and l?
5
Let f be ((-3)/(-6) - 1)*(-3 - 5). Suppose -2*u = 2*u - 268. Suppose -u = -f*m + 3*p, -21 = -m + 5*p - 0*p. Calculate the highest common divisor of 128 and m.
16
Let w = 1114 + -924. Calculate the greatest common divisor of w and 100.
10
Let i(w) = -12*w**2 - 3*w + 4. Let r be i(1). Let x be (-2)/r - 12/(-66)*395. What is the greatest common factor of 90 and x?
18
Let c = 1692 - 1428. What is the highest common factor of c and 276?
12
Let u(i) = 17*i - 4. Let o be u(1). Suppose -2*l + o*l = 968. Calculate the highest common divisor of 198 and l.
22
Let i be 1/2 + (-3565)/(-10). Let v be 2/3*i/7. Let y be v - (2/(6 - 4) - 4). Calculate the highest common factor of y and 333.
37
Suppose -i + 7131 = 3*y, 7*y - 2*y - 30 = 0. Calculate the greatest common factor of 3 and i.
3
Suppose -2*z = -14 - 54. Suppose -6*o + 11 = -3*x - 10*o, 3*x + o + 14 = 0. Let u be 2*x/(-5) - -304. What is the greatest common divisor of z and u?
34
Let z(k) = -13*k**3 - 5*k**2 + 15*k + 22. Let u be z(-4). What is the greatest common divisor of 1218 and u?
42
Let s(g) = 2*g**2 - 9*g - 30. Let f be s(8). Let c = -8 + 12. Suppose -125 - 31 = -c*h. Calculate the greatest common divisor of h and f.
13
Let a = -68 + 42. Let w be a/8*(-9348)/57. Calculate the highest common factor of 41 and w.
41
Suppose -m - 4 + 18 = 0. Suppose 6*w - m*w + 512 = 0. Let i = -47 + w. Calculate the greatest common divisor of 119 and i.
17
Let u = 936 - 521. What is the highest common divisor of u and 40?
5
Suppose 53974 + 32482 = 5*l - 4834. Calculate the highest common divisor of l and 102.
102
Let n = 444 + 3324. Calculate the greatest common divisor of n and 24.
24
Let o = 60 - 49. Suppose 0 = 2*x + 7 - 1, 2*n - o = -x. Suppose n*w - 160 = 3*w. What is the highest common factor of 5 and w?
5
Let r be (-1)/(-1)*(-86)/(-1). Let u(g) = 41*g - 1925. Let v be u(47). What is the greatest common divisor of r and v?
2
Suppose -22 - 18 = -2*z. Suppose 0 = -7*i + z + 1. Suppose 0*w + n - 454 = -5*w, -88 = -w - i*n. Calculate the greatest common factor of w and 13.
13
Let u(h) be the third derivative of h**5/20 + h**4/8 + h**3 - 12*h**2 - 1. Let n be u(5). What is the greatest common divisor of 6 and n?
6
Let l(s) = 5*s**2 + 152*s + 448. Let m be l(-3). What is the greatest common factor of m and 481?
37
Suppose 51*s + 299 - 605 = 0. Let t = 16 - 11. Suppose -t*h + 3 = -3*r, 2*h - 6*h = r - 16. What is the highest common divisor of r and s?
2
Let q be (2 + -6)/(1 + 1). Let g be q/6*4*21/2. Let w = g - -22. What is the highest common factor of w and 64?
8
Suppose 5*d = -5*l + d - 54, -4*l = -5*d + 35. Let r be ((-50)/l)/((-10)/(-4)). Let s be r - (2 + (-3 - -1)). What is the highest common divisor of s and 6?
2
Let q be (2 + -1 + 0)*11. Suppose 2*h - 118 = 284. Let w = h - 124. What is the greatest common divisor of w and q?
11
Let d be 1/(-8) - (-10 - (-722)/(-16)). What is the greatest common divisor of 671 and d?
11
Let q = 59 - 59. Suppose q = -2*j + 9*j - 119. Suppose 692 = 5*p + j. What is the highest common factor of 15 and p?
15
Let h(d) = 68*d - 1351. Let c be h(20). Calculate the highest common factor of 2799 and c.
9
Suppose 0 = -32*w - 43 + 299. Suppose 5*n + 4*a = 76, 2*a + w = 2*n - 8. What is the greatest common factor of 114 and n?
6
Let l(t) = -3 + 3 - 8*t - 9*t - 26 + 14*t**2. Let j be l(-5). Suppose -13*n = -2229 + j. What is the highest common factor of n and 20?
20
Let t be -2 - (42*-1 + 2). Let y = 2711 - 2521. What is the greatest common factor of t and y?
38
Let i = 3162 + -3111. Calculate the highest common factor of i and 147.
3
Let y = -459 - -976. Suppose 0 = -2*w + 4*u + 110, 0*u + 20 = -5*u. What is the greatest common divisor of y and w?
47
Let k be (-187341)/(-726) + (-1)/22. Calculate the highest common divisor of k and 13072.
86
Suppose -220 = 3*k - 3*j + 392, 5*j = -4*k - 780. Let c = k + 260. What is the highest common divisor of 40 and c?
20
Let d(p) = 51831*p**2 - 42*p + 43. Let c be d(1). Calculate the greatest common factor of c and 22.
22
Suppose -2*v = 4*a - 2324, 8*v - 3*v = -3*a + 5796. Suppose -5*p - 17 + 2 = 0, 5*g + 4*p - v = 0. What is the highest common factor of g and 36?
18
Let d = 4103 - 4040. What is the greatest common divisor of d and 2037?
21
Let t = 216 + -191. Let i = 46 - t. Suppose 3*s + 741 = 4*k, -5*k - 3*s - 2*s = -970. Calculate the highest common divisor of i and k.
21
Let r = -35216 - -35306. Let a be 2*-1*1 - 9. Let i = 29 + a. What is the highest common divisor of r and i?
18
Suppose 0 = -4*v - 2*g + 250, -3*v = -2*v + 3*g - 60. Let h(n) = -14*n - 38. Let o be h(-4). Calculate the highest common factor of v and o.
9
Let d(i) = -9*i - 35. Let c be d(-8). Suppose -5*s = -5*o + 555, o - 6*o + 2*s = -555. Calculate the greatest common divisor of o and c.
37
Suppose 3*v = -2*j - 368 + 406, 4*j - 40 = -3*v. What is the highest common factor of 618 and v?
6
Let c(f) = f**2 - 3*f + 7*f - 16 + 2*f. Let s be 399/49 + (-3)/21. Let d be c(s). What is the greatest common factor of d and 24?
24
Suppose 2*u - 153 = 3*s - 4*s, 4*s = 4*u + 612. Let t = s - 118. Let q = 544 + -369. Calculate the highest common divisor of q and t.
35
Let u(s) = 16*s - 4*s**3 - 2 - 3 + 3*s**3 + 3*s**2 - 3. Let h be u(-5). Calculate the greatest common divisor of 7 and h.
7
Suppose -11*i - 14*i + 2376 = -i. What is the highest common factor of 873 and i?
9
Let l = -5 - -8. Let v be 171/(3 + 228/(-80)). Let h be (v/133)/((-10)/(-28)). What is the greatest common factor of l and h?
3
Suppose -3*x + 7 = 4*h - 2, 2*h = -4*x + 12. Suppose -2885*j + 3153*j = 21708. Calculate the greatest common divisor of x and j.
3
Let i = -388 + 385. Let n be 7845/35 - i/(-21). Calculate the highest common divisor of 28 and n.
28
Suppose l = 15 + 13. Suppose -l - 7 = -7*b. Suppose -b*t = -4*o + 115, t + 2*t - 85 = -2*o. What is the greatest common factor of 35 and o?
35
Let q = 493 + -438. Suppose -154 + 1144 = q*g. Let i(p) = 2*p**3 - p**2 - 4*p - 7. Let j be i(5). Calculate the highest common divisor of g and j.
18
Suppose 3*g - 30 = 2*v + 189, -v = g - 68. Let w = 242932 + -242930. What is the highest common factor of g and w?
1
Let r be 5 - 4 - 12*56/(-21). Calculate the greatest common factor of r and 37587.
33
Suppose -2339 = -10*h + 421. Let j = 322 - h. What is the highest common divisor of 207 and j?
23
Let u = -1742 - -1763. Suppose s = 5*s - 12. Suppose -d + s*d = 12. What is the highest common divisor of d and u?
3
Suppose 0 = 5*g + x - 5937, 2137*g = 2138*g + 2*x - 1182. Calculate the highest common factor of 540 and g.
108
Let x(k) = -314*k + 1928. Let i be x(6). Calculate the highest common divisor of 52228 and i.
44
Suppose 4*y + 2*a = -y + 17998, 2*a = -2. What is the greatest common factor of 288 and y?
144
Let g = -747 - -1008. What is the highest common divisor of 279 and g?
9
Let m(y) = 812*y + 623. Let j be m(12). What is the greatest common factor of j and 7?
7
Suppose 8*p + 59 = 83. Suppose -5*k + 2*g = -275, -4*k = -p*k - g - 55. What is the highest common divisor of 275 and k?
55
Let l = -3641 - -3735. What is the highest common factor of l and 34?
2
Let g(z) = 6*z + 232. Let l be g(-38). Suppose 186 = l*n - 2*p, 9*n - 3*p = 4*n + 231. Calculate the greatest common factor of 96 and n.
48
Let u = -15875 - -46094. Calculate the greatest common factor of u and 7.
7
Let b(j) = -6*j - 6. Let a be b(-16). Let d = a + -86. Suppose -3*p + 561 = 4*g, 0 = 3*g - d*p + 5*p - 427. What is the greatest common factor of g and 18?
18
Suppose 732 = 12*i + 60. Let u(b) = -2*b**3 - 52*b**2 - 52*b - 8. Let w be u(-25). What is the highest common factor of w and i?
14
Suppose -33*a - u - 2167 = -38*a, 4*u + 1724 = 4*a. What is the greatest common factor of 248 and a?
62
Let i = 48 - 49. Let m be 5/i*(6 - 8). Suppose d + 5*j = 10, -j - 40 = -4*d - 5*j. Calculate the highest common divisor of m and d.
10
Let l be -3 + 36/14 + (-4)/7. Let q be (-1*3915/5)/l. Calculate the highest common factor of 27 and q.
27
Suppose -3*n = -76 - 122. Suppose -364790*w = -364779*w - | {
"pile_set_name": "DM Mathematics"
} |
v**2 + 3*v - 204
What is the o'th term of -45, -42, -39, -36?
3*o - 48
What is the a'th term of -68274, -68276, -68280, -68286, -68294?
-a**2 + a - 68274
What is the i'th term of -273, -272, -271, -270, -269, -268?
i - 274
What is the x'th term of -112, -236, -358, -478, -596, -712, -826?
x**2 - 127*x + 14
What is the t'th term of -98, -191, -290, -395, -506?
-3*t**2 - 84*t - 11
What is the c'th term of 57, 55, 53, 51?
-2*c + 59
What is the x'th term of 17, 80, 185, 332, 521, 752?
21*x**2 - 4
What is the s'th term of 71, 36, -59, -244, -549, -1004?
-5*s**3 + 76
What is the v'th term of -290, -310, -374, -506, -730, -1070, -1550, -2194?
-4*v**3 + 2*v**2 + 2*v - 290
What is the u'th term of -28, -74, -120, -166, -212?
-46*u + 18
What is the b'th term of -23, -148, -503, -1208, -2383?
-20*b**3 + 5*b**2 - 8
What is the q'th term of 45, 88, 131, 174, 217, 260?
43*q + 2
What is the s'th term of 47, 80, 109, 134, 155?
-2*s**2 + 39*s + 10
What is the m'th term of -185, -762, -1723, -3068, -4797, -6910, -9407?
-192*m**2 - m + 8
What is the d'th term of 473, 498, 533, 572, 609, 638?
-d**3 + 11*d**2 - d + 464
What is the y'th term of 2330, 2321, 2312?
-9*y + 2339
What is the j'th term of 100, 174, 248, 322, 396?
74*j + 26
What is the r'th term of -178, -174, -176, -190, -222, -278, -364, -486?
-r**3 + 3*r**2 + 2*r - 182
What is the h'th term of 17, 26, 39, 56, 77, 102, 131?
2*h**2 + 3*h + 12
What is the a'th term of -15, -27, -53, -99, -171, -275, -417, -603?
-a**3 - a**2 - 2*a - 11
What is the j'th term of -105, -311, -651, -1125, -1733, -2475, -3351?
-67*j**2 - 5*j - 33
What is the p'th term of 1381, 2765, 4149, 5533, 6917?
1384*p - 3
What is the n'th term of 552, 1099, 1644, 2187, 2728, 3267?
-n**2 + 550*n + 3
What is the l'th term of -38, -43, -48, -53?
-5*l - 33
What is the b'th term of 4511, 9016, 13519, 18020, 22519, 27016?
-b**2 + 4508*b + 4
What is the a'th term of 299, 602, 903, 1202, 1499?
-a**2 + 306*a - 6
What is the c'th term of -1, -15, -51, -121, -237, -411, -655, -981?
-2*c**3 + c**2 - 3*c + 3
What is the x'th term of -944, -939, -930, -917, -900, -879, -854?
2*x**2 - x - 945
What is the k'th term of -62, -102, -116, -92, -18, 118, 328?
2*k**3 + k**2 - 57*k - 8
What is the a'th term of -270, -278, -300, -342, -410, -510, -648, -830?
-a**3 - a**2 + 2*a - 270
What is the o'th term of -698, -1395, -2092, -2789, -3486?
-697*o - 1
What is the j'th term of -114, -107, -88, -51, 10, 101, 228?
j**3 - 115
What is the a'th term of -8492, -16988, -25484, -33980, -42476?
-8496*a + 4
What is the o'th term of 486, 947, 1380, 1779, 2138, 2451?
-o**3 - 8*o**2 + 492*o + 3
What is the k'th term of -140, -133, -126, -119, -112, -105?
7*k - 147
What is the g'th term of 37, 93, 247, 547, 1041?
8*g**3 + g**2 - 3*g + 31
What is the m'th term of -653, -647, -627, -587, -521, -423?
m**3 + m**2 - 4*m - 651
What is the g'th term of 26, 13, -18, -73, -158, -279, -442?
-g**3 - 3*g**2 + 3*g + 27
What is the t'th term of 636, 1316, 2006, 2712, 3440, 4196?
t**3 - t**2 + 676*t - 40
What is the u'th term of -63, -114, -167, -222, -279?
-u**2 - 48*u - 14
What is the b'th term of 7, -40, -87?
-47*b + 54
What is the w'th term of 87, 333, 743, 1317, 2055?
82*w**2 + 5
What is the l'th term of 1651, 1652, 1653, 1654, 1655?
l + 1650
What is the b'th term of -27, -9, 23, 75, 153, 263, 411, 603?
b**3 + b**2 + 8*b - 37
What is the k'th term of -120, -113, -94, -57, 4, 95, 222, 391?
k**3 - 121
What is the i'th term of -107, -398, -877, -1544, -2399, -3442?
-94*i**2 - 9*i - 4
What is the k'th term of -19, -29, -51, -91, -155, -249, -379, -551?
-k**3 - 3*k - 15
What is the x'th term of 123, 123, 125, 129, 135?
x**2 - 3*x + 125
What is the s'th term of -192, -390, -588?
-198*s + 6
What is the v'th term of -489, -492, -495, -498?
-3*v - 486
What is the n'th term of 589, 585, 579, 571, 561?
-n**2 - n + 591
What is the u'th term of 5863, 5863, 5865, 5869, 5875?
u**2 - 3*u + 5865
What is the n'th term of 165, 305, 449, 597, 749, 905?
2*n**2 + 134*n + 29
What is the g'th term of 188, 184, 180, 176, 172, 168?
-4*g + 192
What is the w'th term of 24262, 24263, 24264, 24265, 24266?
w + 24261
What is the m'th term of -245, -484, -713, -926, -1117?
m**3 - m**2 - 243*m - 2
What is the g'th term of 11, 19, 53, 131, 271, 491, 809?
3*g**3 - 5*g**2 + 2*g + 11
What is the w'th term of 117, 98, 79, 60?
-19*w + 136
What is the f'th term of -361, -652, -943, -1234?
-291*f - 70
What is the t'th term of 669, 1337, 2005, 2673?
668*t + 1
What is the n'th term of 35, 19, 3, -13, -29, -45?
-16*n + 51
What is the t'th term of 366, 729, 1090, 1449, 1806, 2161, 2514?
-t**2 + 366*t + 1
What is the q'th term of 275, 272, 267, 260, 251, 240, 227?
-q**2 + 276
What is the x'th term of 13, 22, 19, -2, -47?
-x**3 + 16*x - 2
What is the j'th term of 55, -22, -111, -218, -349, -510?
-j**3 - 70*j + 126
What is the n'th term of -2, 6, 20, 40, 66?
3*n**2 - n - 4
What is the w'th term of -11, -28, -49, -74, -103, -136?
-2*w**2 - 11*w + 2
What is the p'th term of 2, -4, -12, -22, -34?
-p**2 - 3*p + 6
What is the i'th term of -1143, -2291, -3439, -4587, -5735, -6883?
-1148*i + 5
What is the q'th term of -25, -42, -79, -142, -237, -370, -547, -774?
-q**3 - 4*q**2 + 2*q - 22
What is the l'th term of 43, -9, -115, -293, -561?
-3*l**3 - 9*l**2 - 4*l + 59
What is the h'th term of -9313, -9315, -9317, -9319, -9321, -9323?
-2*h - 9311
What is the n'th term of 1730, 1744, 1770, 1814, 1882?
n**3 + 7*n + 1722
What is the k'th term of 114, 115, 118, 123, 130, 139, 150?
k**2 - 2*k + 115
What is the a'th term of -19, -30, -47, -70, -99, -134, -175?
-3*a**2 - 2*a - 14
What is the d'th term of -1134, -2275, -3416, -4557?
-1141*d + 7
What is the z'th term of 171, 184, 193, 198, 199?
-2*z**2 + 19*z + 154
What is the a'th term of 77, 98, 119?
21*a + 56
What is the d'th term of 483, 480, 477, 474, 471?
-3*d + 486
What is the b'th term of 100, 119, 138, 157?
19*b + 81
What is the a'th term of -72, -62, -52, -42?
10*a - 82
What is the x'th term of 93, 185, 277, 369?
92*x + 1
What is the k'th term of 245, 465, 685, 905, 1125?
220*k + 25
What is the w'th term of -4, -73, -268, -655, -1300, -2269?
-11*w**3 + 3*w**2 - w + 5
What is the r'th term of 146, 151, 156, 161, 166?
5*r + 141
What is the f'th term of 138, 547, 1230, 2187, 3418, 4923, 6702?
137*f**2 - 2*f + 3
What is the h'th term of 16373, 16372, 16371?
-h + 16374
What is the h'th term of 4, -13, -54, -131, -256, -441, -698?
-2*h**3 - 3*h + 9
What is the y'th term of -600, -599, -598?
y - 601
What is the b'th term of 2843, 2841, 2839, 2837?
-2*b + 2845
What is the b'th term of -91, -162, -259, -388, -555?
-b**3 - 7*b**2 - 43*b - 40
What is the x'th term of 134, 280, 440, 620, 826?
x**3 + x**2 + 136*x - 4
What is the f'th term of -224, -438, -664, -908, -1176, -1474, -1808, -2184?
-f**3 - 207*f - 16
What is the v'th term of -17, 3, 57, 145, 267, 423, 613?
17*v**2 - 31*v - 3
What is the b'th term of 27, 35, 55, 93, 155, 247, 375, 545?
b**3 + b + 25
What is the g'th term of 87, 99, 117, 141?
3*g**2 + 3*g + 81
What is the p'th term of -1020, -2039, -3058, -4077, -5096?
-1019*p - 1
What is the f'th term of -4, -32, -88, -178, -308, -484, -712?
-f**3 - 8*f**2 + 3*f + 2
What is the k'th term of 1712, 1717, 1724, 1733, 1744, 1757, 1772?
k**2 + 2*k + 1709
What is the h'th term of 25, 48, 75, 106?
2*h**2 + 17*h + 6
What is the v'th term of 23, 103, 237, 425, 667?
27*v**2 - v - 3
What is the d'th term of 29, 105, 231, 407, 633, 909, 1235?
25*d**2 + d + 3
What is the n'th term of 154, 307, 454, 589, 706, 799?
-n**3 + 3*n**2 + 151*n + 1
What is the x'th term of -49, -144, -309, -550, -873, -1284, -1789, -2394?
-x**3 - 29*x**2 - x - 18
What is the d'th term of -17, 0, 19, 40, 63, 88?
d**2 + 14*d - 32
What is the g'th term of -11, -146, -519, -1250, -2459, -4266, -6791, -10154?
-20*g**3 + g**2 + 2*g + 6
What is the i'th term of -35, -65, -91, -113?
2*i**2 - 36*i - 1
What is the k'th term of 148, 151, 166, 199, 256, 343, 466?
k**3 - 4*k + 151
What is the c'th term of 785, 1574, 2363, 3152, 3941?
789*c - 4
What is the i'th term of 38, 16, -42, -154, -338, -612, -994?
-3*i**3 - i + 42
What is the h'th term of 16, 79, 190, 349, 556, 811, 1114?
24*h**2 - 9*h + 1
What is the y'th term of 38, 79, 170, 335, 598?
| {
"pile_set_name": "DM Mathematics"
} |
Suppose 5*m - 1 = -16. Let n be ((-15)/9)/(1/m). Suppose -1061*c + 1053*c + 112 = 0. Solve -1 = n*p - i + 22, -2*p - c = -2*i for p.
-4
Let a be (2/6)/((-2)/(-18)). Let g be -2*(-5)/(-10)*-9. Suppose -a*i + 3*t + 9 = 0, -5*i - g = -4*i + 5*t. Solve -6 = 3*c - 3*l - 0*l, -2*l + i = c for c.
-1
Suppose -411*s - 2*j = -406*s - 9, 0 = 3*s - 2*j - 15. Solve -6*h = -9*h - 2*v + 15, s*v = 4*h - 20 for h.
5
Let a be 710/26 - 916/2977. Solve -3*m = m - g - 22, 5*m - a = g for m.
5
Let w be ((200/16)/(-5))/((-15)/36) + -6. Solve 7*k = 12*k - 4*y, 3*y - 15 = w for k.
4
Let p be ((-34)/102)/((-2)/30). Suppose 2*r - 3*r - 3*q + 17 = 0, -2*r - q = -14. Solve m + 5*n + 1 = 0, r*n - 5 = p*m - 0 for m.
-1
Let h(m) = 44*m + 984. Let y be h(-22). Solve 11*s - y*s = 2*f + 9, 0 = -4*s - 12 for f.
3
Suppose 0 = -45*f - 83 + 308. Solve 0 = -5*l + l - 5*y - f, y = -1 for l.
0
Let d be 8/7*(-1211)/(-692). Solve 4*a + d*q = -22, -2*q + 6 = -4*q for a.
-4
Suppose -2*i - p - 2 = 0, -2*i - 2*p = -0*i + 2. Let l be (41 - 39)*(-10)/4*i. Solve 4*u + 30 = -5*c - 3, 4*c = -l*u - 30 for c.
-5
Suppose 0 = k + 4*f - 2, -2*k - 3*f = -8 + 14. Let i be ((-8)/k)/(-2 + (-91)/(-42)). Solve x - 2*h - 6 = 0, 2*x - 2*h + 2 = i for x.
0
Suppose -16 = -20*v + 16*v. Suppose 2*g - 7*g - 4*x + 131 = 0, 5*x = -v*g + 103. Let k be g/(-18)*2*-1. Solve k*u + 4 = -5*i - 9, -5*u + 10 = 2*i for u.
4
Let q = -3 - -3. Suppose 2 = h - 48. Let c = 53 - h. Solve c*t - 3 = 2*y, q = -0*y + 5*y - 3*t + 3 for y.
0
Let g = -97 - -109. Let r be 81/g*(-8)/(-3). Let w be 30/r*(-18)/(-5). Solve 0*q - 9 = -q - 2*v, 2*v - w = 2*q for q.
1
Suppose 90 = -3*k + 5*s - 2*s, -2*s = -3*k - 89. Let t(r) = -r**3 - 31*r**2 - 60*r - 54. Let n be t(k). Solve -h = -n*i - 4, -2*h + 16 = 2*h + 2*i for h.
4
Let a = -111 - -270. Let r = -159 + a. Solve 2*h + 5*n - 12 = 0, 2*n = -r*h + 3*h + 1 for h.
1
Suppose 168*a + 18 = 174*a. Solve -3*n - 13 = -i, -2*n = -15*i + 20*i + a for i.
1
Let m(n) = -n**2 - 16*n - 7*n + 23*n - 12 - 21*n. Let h be m(-20). Suppose -127*o = -123*o - h. Solve 2*x + 2*y - o = 0, 0*y = -2*x + y - 4 for x.
-1
Let x = -552 - -554. Suppose -3*y - q + 19 = 0, -x*y + 12 = 3*q - 10. Solve 2*u + 6 = 0, y*u - 4 + 10 = -3*s for s.
3
Suppose 182*f - 72*f = 220. Let m be (-1)/(-2) + (-14)/(-4). Let b = m + -2. Solve -f*o + 4 = -b*g, 4*g + 4*o = o + 20 for g.
2
Let q(w) = 394*w - 1573. Let f be q(4). Solve -8*k - 3 = -f*k + 2*p, 0 = 3*k - 5*p + 8 for k.
-1
Suppose -842*b = -799*b - 516. Solve 5*h + 9 = 2*d + b, h + 4 = 5*d for d.
1
Suppose 0*x = -3*x + 27. Suppose -x*j + 78 = 17*j. Solve -3*t - 35 = 5*h + 2*t, -3*h - 3 = -j*t for h.
-4
Let s(i) = 161*i + 4994. Let y be s(-31). Solve -7*w = y*j - 12*w - 19, 3*j - w = 11 for j.
3
Let v(w) = 4*w**3 - 17*w**2 + w + 13. Let m(l) = l**3 + 7*l**2 + l + 11. Let z be m(-7). Let y be v(z). Solve -j - y = -5*j - c, 1 = c for j.
0
Let m = -4 - -436. Let o = 435 - m. Solve s = -4*w - 25, -3*s = o*w - 2*w + 20 for s.
-5
Let b be (5 - -7 - 4) + -6. Solve 0 = 4*z - 2*z - 4*a + 22, -a = 3*z - b for z.
-1
Suppose p - 3 + 1 = -2*v, -18 = 4*p - 5*v. Let u be (-2 - p) + 100/2. Let f = u - 45. Solve f*l - 20 = 5*q + 10, 2*q - l + 7 = 0 for q.
-1
Let d(a) = a**2 + 29*a + 38. Let h be d(-28). Solve 11*v - 5*n = 13*v + 6, 5*n + h = 0 for v.
2
Suppose 0*x + 6 = 3*x. Let h be -24 + 22 + (-8)/(-1). Suppose -h*c - 191 + 197 = 0. Solve -5*y = v + 19, -v + c = y - x*v for y.
-3
Let s be (70/21)/((-1)/3). Let o be (88/(-40) - -1)*s/4. Solve 23 = 3*i - 2*h, -o*h - 8 - 19 = -3*i for i.
5
Let c = 11 + -7. Let b(t) = -8*t**3 - 53*t**2 - 11*t - 17. Let y be b(-7). Suppose 0 = 197*f - y*f. Solve -5*o - 2*v + 4*v - 15 = 0, f = -4*o + c*v - 12 for o.
-3
Let u(o) = -6*o - 94. Let n be u(-15). Let h be (-3*(-1)/2)/((-2)/n). Solve 2*p = -2*p - 3*w + h, p + 3 = 3*w for p.
0
Let t = 23 + -12. Let w = 1320 + -1331. Let v = t + w. Solve -5*a + 10 = 3*g, v = -0*g - 5*g + 4*a - 45 for g.
-5
Let y(s) be the second derivative of s**4/12 - 2*s**3/3 - 20*s**2 - 73*s. Let a be y(-7). Solve 0 = 3*o + 5*t + a, -4*o = t + 21 for o.
-4
Suppose 7*u - 20 = 63 + 1. Solve -u*o + 2*f = -9*o - 11, 4*f = -16 for o.
1
Suppose 0 = -1079*u + 1078*u + 25. Solve u = b - 5*z, -3*b - 2*b + z + 29 = 0 for b.
5
Let q(s) = -s**3 + 95*s**2 + 10*s - 947. Let b be q(95). Let w be (2/2)/(2/6). Solve 5*d - 12 = u, -u = -b*d - w*u + 2 for d.
2
Let u be 6/7 - (-570)/266. Suppose 5*r - 3*y = 11, 2*r + 4*y = 13 + 7. Solve 2*b = -0*t + 3*t - r, 5*b = u*t - 10 for t.
0
Let t(q) = 2*q**2 + q - 10. Let w be t(5). Let f = w + -41. Solve 2 = 4*n - f*h + 6, 0 = 2*h + 8 for n.
-5
Let x be (10 - 24)/7 + -2 + 26. Solve -8 = -j - 3*l - 0, x = 5*j - 3*l for j.
5
Let s be 7*(-18)/(-567) - (0 + 32/(-18)). Solve 0 = s*r + 5*l - 8, -4*r + 22*l - 18*l = 12 for r.
-1
Let h be (-16)/(-6)*(-12)/(-16)*(-4 - -5). Solve -4*p - 16 = -b, -8*b + 14 = -h*p - 9*b for p.
-5
Let r(s) = -2*s**3 + 12*s**2 - 9*s - 24. Let m be r(4). Solve 8*z - 4 = 4*x + 7*z, -4 = -m*x + 3*z for x.
-2
Let k(c) = 153*c**3 - 307*c**3 - 20 + 2*c - 5*c**2 + 155*c**3 - 4*c. Let r be k(6). Solve 0*j - 2*j = -r*b - 18, 0 = 5*b - 5*j + 35 for b.
-2
Let z be 7*-7*14/(-343). Solve -2 = z*y - 5*j, 0 = -10*y + 11*y - j + 1 for y.
-1
Suppose 10 = 4*m + 2. Suppose 45 = -m*r + 11*r. Solve t = -3, -y + t + t + r = 0 for y.
-1
Let w be 2/11 - 96/44. Let v be w/9 - (-6457)/99. Let o = 67 - v. Solve 4*r + 12 = 3*a - 5, -o*a + 23 = -5*r for a.
-1
Let z(c) = c**3 + 2*c**2 - 106*c - 73. Let t be z(-11). Solve 12 = 3*y + 2*j, t*y - j - 4*j - 16 = 0 for y.
4
Let r(p) = -5*p - 70. Let t be r(-14). Suppose 3*m + 2 = -2*f, -3*m + 5*m + 2*f + 4 = t. Solve -3*a + 2*o = -3, 5*o = m*a + 11 - 2 for a.
3
Let i = 27497 - 27482. Let l be 6/(((-6)/(-4))/1). Solve -l*z + i = 2*w - 7, 0 = w + 5*z - 20 for w.
5
Suppose -786*z + 788*z - 2 = 0. Suppose 11 = w - z. Solve -3*u = 3*t + w, -5*u - 3*t = -2*t for u.
1
Let d = 17 + -10. Suppose -d*c - 16 = c. Let m be -1 - -4 - 2 - c. Solve -3*p = -5*h - 3, 0*h = p + m*h - 1 for p.
1
Let j(n) = -n**2 + n + 22. Let o be j(5). Suppose -o*g + 1 = 5. Let l be (g - -2) + 1*4. Solve -40 = -5*z - l*c, 3*z - c - 22 = -3*c for z.
4
Suppose 2*w - k = w + 11, -3*w + 2*k = -31. Let n(a) = -2*a + 34. Let r be n(w). Let v = 21 - 18. Solve r = -5*x + c, 0 = 2*x + 4*c - v*c + 5 for x.
-3
Let v(a) = a**2 - 30*a + 107. Let u = 739 - 713. Let f be v(u). Solve -3*t = -f*i, -5*t - 4*i - 8 - 1 = 0 for t.
-1
Suppose 101*b - 71 = 86*b + 79. Solve -4*z - 36 = -5*x + x, -2*z + b = 5*x for x.
4
Suppose 8*t - 212 = 7*t. Let v = -211 + t. Solve 2*b = -4*j + 11 - v, -j = -4*b + 11 for b.
3
Let t(c) = -2*c - 46. Let x be t(-25). Suppose 2*l = x*l - 3*h - 20, -3*l + 4 = 2*h. Solve -l*f - 2*b = -6 - 12, 17 = 3*f - 2*b for f.
5
Let r = -6254 - -6284. Solve -2*f = -6*f + 2*m + r, 9*f - m = 50 for f.
5
Let r(s) = s**2 - 5*s + 4. Let p be r(5). Suppose -k + 3*d = -2*d - 12, -d - 10 = -p*k. Solve k*n + 2*f + 4 + 4 = 0, -16 = -2*n + 4*f for n.
0
Let b be (28920/65)/6 - (-4)/(-26). Let r = b - 69. Solve h + 3*s = -3*h, -r = 3*h + s for h.
-3
Let i(p) = p**3 + 3*p**2 + 3*p + 6. Let x be i(-2). Suppose 2*t - 17 = 2*g - 5, 0 = t - 3*g - 12. Solve -j - t*k - 2 = 0, -2*k - x = 2*j - 0*k for j.
-2
Suppose 10 = 5*o - 3*n - 288, -5*o - 10*n = -220. Solve 5*p - 5*c + 5 = 0, c - 54 = -o for p.
-3
Suppose -11456 = 582*p - 52196. Solve m = -5*x + p - 44, -16 = -m - 3*x for m.
1
Let w = -109 + 107. Let u be -10 + 15 - w/((-6)/9). Solve u*m - g + 8 = 0, -2*m + 4*g - 2*g - 8 = 0 for m.
-4
Let m = 50 - 140. Let p be ((m/(-8))/5)/((-6)/(-40)). Solve -3*g = 2*g - p, 2*y + 6 = 4*g for y.
3
Let y(x) = 11*x**3 - 4*x**3 - 5*x**3 + 1 - 11*x + 17*x**2 - 8. Let g be y(-9). Solve 2*h - q + g = 0, -3*h - h - 2*q - 2 = 0 for h.
-3
Let m(x) = 38*x - 37. Let l(w) = -w**3 - 16*w**2 - 3*w - 47. Let v be l(-16). Let j be m(v). Solve k = 2*y + 1, y + j = -3*k + 3*y for k.
-1
Let r be 4/3 + (-75)/9 + 7. Suppose p + 4*v - 10 = -r*v, 0 = 2*p - v - 2. Solve 0 = 4*w + 5*b + 31, p*w + 1 = b - 4 for w.
-4
Suppose -45*i + 1037 - 722 = 0. Solve 4*t + 20 = -5*j, 2*j = i*t - 4*t - 8 for t.
0
Suppose 0 = b + 4*l - l + 15, 5*b + 7 = 2*l. Let i be (b + 12/9)*-3. Suppose 3*d = 15, 2*p + 4*d - 14 = 14. Solve -5 = -p*h + w, 2*h = 5*h - 2*w - i for h.
1
Let u(r) = 25*r + 314. Let w(z) = | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from {g: 6, l: 13}. Give prob of sequence lg.
13/57
Calculate prob of sequence scwk when four letters picked without replacement from {k: 2, t: 1, s: 4, c: 1, w: 2}.
1/315
Four letters picked without replacement from {j: 1, z: 3, l: 8, p: 2, k: 5}. What is prob of sequence kkjl?
5/2907
What is prob of sequence sxxs when four letters picked without replacement from xstssssxosissssssxt?
11/1292
Two letters picked without replacement from rrrrrrarar. Give prob of sequence ra.
8/45
Calculate prob of sequence kjjj when four letters picked without replacement from {k: 14, j: 5}.
35/3876
Three letters picked without replacement from dfzxfijdijiz. Give prob of sequence zdx.
1/330
What is prob of sequence nm when two letters picked without replacement from {n: 8, m: 4, r: 4}?
2/15
What is prob of sequence hsd when three letters picked without replacement from {h: 7, s: 2, d: 1}?
7/360
Four letters picked without replacement from {w: 2, k: 2, q: 4, b: 3, l: 2, o: 1}. What is prob of sequence bwkl?
1/1001
Two letters picked without replacement from qkyqkccyzcyqyyk. What is prob of sequence zk?
1/70
What is prob of sequence hqh when three letters picked without replacement from {y: 3, h: 4, q: 7}?
1/26
What is prob of sequence eea when three letters picked without replacement from {a: 9, e: 7}?
9/80
What is prob of sequence cl when two letters picked without replacement from yydzlydzycyzyzd?
1/210
Calculate prob of sequence pp when two letters picked without replacement from {p: 7, o: 3}.
7/15
What is prob of sequence vw when two letters picked without replacement from {w: 3, v: 5}?
15/56
Two letters picked without replacement from {i: 12, p: 4, s: 2, d: 2}. Give prob of sequence ii.
33/95
What is prob of sequence lq when two letters picked without replacement from {q: 1, l: 1, k: 1, e: 2}?
1/20
Calculate prob of sequence ssgg when four letters picked without replacement from ggsgsggg.
1/28
Calculate prob of sequence kmr when three letters picked without replacement from {m: 1, r: 1, k: 1}.
1/6
Two letters picked without replacement from {g: 10, x: 2}. Give prob of sequence xx.
1/66
What is prob of sequence la when two letters picked without replacement from {w: 1, j: 1, k: 2, l: 1, e: 1, a: 1}?
1/42
Three letters picked without replacement from {t: 5, j: 2, u: 2, s: 1, i: 1, x: 5}. What is prob of sequence ixu?
1/336
What is prob of sequence qqgi when four letters picked without replacement from {r: 3, q: 5, g: 2, i: 2}?
2/297
What is prob of sequence lc when two letters picked without replacement from xxlc?
1/12
Calculate prob of sequence zsmt when four letters picked without replacement from sbbstbtbbzbmbs.
1/4004
Four letters picked without replacement from {w: 5, e: 4, m: 6}. What is prob of sequence mmwe?
5/273
Calculate prob of sequence cgg when three letters picked without replacement from {i: 2, g: 5, c: 3}.
1/12
What is prob of sequence lllk when four letters picked without replacement from llllkllllllllllllllk?
8/95
Calculate prob of sequence mxxq when four letters picked without replacement from {m: 1, x: 4, q: 1, t: 1, h: 1}.
1/140
Calculate prob of sequence ff when two letters picked without replacement from gfffgg.
1/5
Calculate prob of sequence rnnn when four letters picked without replacement from nrnrnnnnn.
5/36
Calculate prob of sequence rk when two letters picked without replacement from {g: 1, p: 1, k: 13, r: 1, f: 2, s: 2}.
13/380
Calculate prob of sequence tt when two letters picked without replacement from {k: 4, t: 14}.
91/153
What is prob of sequence nemg when four letters picked without replacement from niigedmieiddidid?
1/21840
Calculate prob of sequence rr when two letters picked without replacement from fffrrffffrr.
6/55
What is prob of sequence zjz when three letters picked without replacement from czjcccjzzc?
1/60
What is prob of sequence qqq when three letters picked without replacement from qqyqqyyqqy?
1/6
Calculate prob of sequence ukd when three letters picked without replacement from {u: 1, k: 1, d: 3}.
1/20
Calculate prob of sequence yu when two letters picked without replacement from {u: 1, y: 1, g: 1}.
1/6
What is prob of sequence oy when two letters picked without replacement from {o: 1, y: 2}?
1/3
Two letters picked without replacement from {u: 1, d: 3}. What is prob of sequence dd?
1/2
Calculate prob of sequence tttt when four letters picked without replacement from ttttttt.
1
What is prob of sequence ax when two letters picked without replacement from wxwxwnawnwwwawwnwwn?
2/171
Four letters picked without replacement from gbbbbbbgbbggggbggggg. Give prob of sequence bggb.
22/323
What is prob of sequence hkeh when four letters picked without replacement from {h: 3, e: 7, k: 3, o: 2, z: 3}?
7/4080
What is prob of sequence bc when two letters picked without replacement from cccbcbcbbc?
4/15
Two letters picked without replacement from uddlued. What is prob of sequence ed?
1/14
What is prob of sequence uduj when four letters picked without replacement from vuldjjulvggvgjlgj?
1/7140
Calculate prob of sequence mi when two letters picked without replacement from {m: 5, o: 1, w: 2, i: 1}.
5/72
Calculate prob of sequence wd when two letters picked without replacement from ddwtvqw.
2/21
Calculate prob of sequence ggg when three letters picked without replacement from {i: 10, h: 1, g: 4, s: 3}.
1/204
Two letters picked without replacement from vvvlkfzvk. What is prob of sequence fk?
1/36
Three letters picked without replacement from vrrrrzvvz. What is prob of sequence zrr?
1/21
Two letters picked without replacement from unpum. What is prob of sequence up?
1/10
What is prob of sequence vhg when three letters picked without replacement from {e: 1, z: 1, h: 2, v: 2, g: 2, t: 5}?
2/429
Calculate prob of sequence bb when two letters picked without replacement from {v: 2, k: 2, f: 4, l: 2, b: 4}.
6/91
Calculate prob of sequence xcxx when four letters picked without replacement from {c: 9, x: 3}.
1/220
Three letters picked without replacement from rchnhnbabnrc. Give prob of sequence hbh.
1/330
Calculate prob of sequence jhf when three letters picked without replacement from hfhhhhjhfbjhhhhh.
11/840
Two letters picked without replacement from {k: 7, r: 9}. What is prob of sequence kk?
7/40
Two letters picked without replacement from {d: 1, o: 3, a: 1, s: 5}. Give prob of sequence ao.
1/30
Two letters picked without replacement from {h: 2, y: 2, m: 1, z: 3, c: 1, t: 3}. Give prob of sequence ty.
1/22
Two letters picked without replacement from wwmwwwmwmmwwwmwrwrww. Give prob of sequence rm.
1/38
Two letters picked without replacement from {q: 11, g: 2}. What is prob of sequence gg?
1/78
Four letters picked without replacement from {j: 5, e: 5}. What is prob of sequence jeej?
5/63
Four letters picked without replacement from wywwwwuywwwwywywwyy. Give prob of sequence uywy.
5/1292
Two letters picked without replacement from {r: 1, l: 3}. Give prob of sequence lr.
1/4
Calculate prob of sequence wb when two letters picked without replacement from {w: 1, a: 2, b: 1}.
1/12
Three letters picked without replacement from {t: 8, i: 3}. What is prob of sequence tit?
28/165
Two letters picked without replacement from tgt. What is prob of sequence tg?
1/3
What is prob of sequence lcl when three letters picked without replacement from llulckkclc?
1/20
Four letters picked without replacement from {d: 1, x: 2, q: 1, e: 3, m: 7, k: 4}. Give prob of sequence emqe.
7/12240
What is prob of sequence vj when two letters picked without replacement from {j: 1, v: 3, q: 1, r: 5}?
1/30
What is prob of sequence uguk when four letters picked without replacement from kggguukupk?
3/280
Calculate prob of sequence qaaq when four letters picked without replacement from {q: 5, a: 2, y: 3}.
1/126
Four letters picked without replacement from jjttttj. Give prob of sequence jtjj.
1/35
Two letters picked without replacement from ttctcxhxxccttt. Give prob of sequence cc.
6/91
Three letters picked without replacement from jdddejejeddkd. Give prob of sequence kdd.
5/286
What is prob of sequence kkk when three letters picked without replacement from kkkkskkkkkkkkkk?
4/5
What is prob of sequence qmi when three letters picked without re | {
"pile_set_name": "DM Mathematics"
} |
when two letters picked without replacement from {z: 3, d: 4, q: 3, u: 1, x: 2, c: 2}.
2/35
What is prob of sequence xqm when three letters picked without replacement from yxshxyssyymq?
1/660
What is prob of sequence llhl when four letters picked without replacement from {h: 1, m: 1, l: 2}?
0
Three letters picked without replacement from kddkiyiffkfyid. Give prob of sequence fyk.
3/364
What is prob of sequence yiil when four letters picked without replacement from {i: 5, l: 3, y: 6, n: 3}?
3/476
What is prob of sequence qx when two letters picked without replacement from wqwqqxww?
3/56
Two letters picked without replacement from uuu. Give prob of sequence uu.
1
Two letters picked without replacement from {u: 4, s: 2}. Give prob of sequence uu.
2/5
Three letters picked without replacement from {z: 1, x: 2, c: 1, v: 1}. Give prob of sequence xxz.
1/30
What is prob of sequence lruo when four letters picked without replacement from vuluovvudrvvv?
1/5720
Two letters picked without replacement from axaa. What is prob of sequence aa?
1/2
Two letters picked without replacement from {z: 1, p: 1, g: 4, o: 5, f: 3}. Give prob of sequence oo.
10/91
What is prob of sequence ee when two letters picked without replacement from {e: 5, u: 14}?
10/171
Two letters picked without replacement from ggggg. Give prob of sequence gg.
1
What is prob of sequence ric when three letters picked without replacement from {u: 1, s: 3, r: 1, i: 1, h: 1, c: 5}?
1/264
Four letters picked without replacement from {s: 3, f: 12}. What is prob of sequence sfff?
11/91
Calculate prob of sequence eej when three letters picked without replacement from {e: 5, j: 5}.
5/36
Three letters picked without replacement from {p: 1, s: 2, g: 1}. What is prob of sequence pss?
1/12
Two letters picked without replacement from xdgjgjg. Give prob of sequence dg.
1/14
Calculate prob of sequence medg when four letters picked without replacement from {e: 1, g: 4, m: 9, d: 1}.
1/910
Calculate prob of sequence za when two letters picked without replacement from aazaaaaaaaaaaaaaaaaz.
9/95
Three letters picked without replacement from iivbiivivivqoiivis. Give prob of sequence bib.
0
What is prob of sequence fkt when three letters picked without replacement from ttktftffkttktkkf?
1/24
Four letters picked without replacement from {f: 10, m: 2, b: 4}. Give prob of sequence mbfb.
1/182
What is prob of sequence ai when two letters picked without replacement from aliyskka?
1/28
Two letters picked without replacement from pswgwgg. What is prob of sequence ws?
1/21
Four letters picked without replacement from {d: 2, y: 9}. What is prob of sequence yyyd?
7/55
What is prob of sequence bp when two letters picked without replacement from {p: 7, j: 3, b: 2}?
7/66
Two letters picked without replacement from {f: 1, b: 5, n: 1, h: 1, w: 1}. What is prob of sequence bf?
5/72
What is prob of sequence qwbb when four letters picked without replacement from qwqbjabqwqqiqq?
1/858
What is prob of sequence cfuo when four letters picked without replacement from coffuu?
1/90
Two letters picked without replacement from cisssivws. What is prob of sequence wi?
1/36
Calculate prob of sequence rewi when four letters picked without replacement from {e: 1, l: 1, a: 2, i: 1, w: 2, r: 1}.
1/840
Two letters picked without replacement from nnnnxxnnn. Give prob of sequence nx.
7/36
Calculate prob of sequence wb when two letters picked without replacement from wwbwbbbwbwww.
35/132
Three letters picked without replacement from {k: 4, c: 3, p: 7}. What is prob of sequence kpc?
1/26
Calculate prob of sequence lon when three letters picked without replacement from onololoollo.
4/165
Three letters picked without replacement from {v: 2, j: 2, z: 1, p: 1, q: 1, e: 1}. Give prob of sequence vzv.
1/168
What is prob of sequence xyxv when four letters picked without replacement from {x: 2, v: 4, y: 1}?
1/105
Two letters picked without replacement from {p: 9, o: 5, y: 3, s: 3}. Give prob of sequence yo.
3/76
Calculate prob of sequence bbu when three letters picked without replacement from {b: 2, u: 1, s: 3, i: 1}.
1/105
What is prob of sequence ehqw when four letters picked without replacement from {e: 2, g: 1, n: 1, h: 3, q: 1, w: 5}?
1/572
Four letters picked without replacement from clblcccllllylcllyll. What is prob of sequence lylc?
275/23256
Four letters picked without replacement from {z: 3, j: 4, q: 11, s: 1}. Give prob of sequence zszq.
11/15504
Four letters picked without replacement from upkffxf. What is prob of sequence ufkf?
1/140
Two letters picked without replacement from {j: 1, u: 12, e: 5, t: 1}. What is prob of sequence je?
5/342
Three letters picked without replacement from qqqqq. Give prob of sequence qqq.
1
Four letters picked without replacement from jgjjgigijjtvtjt. What is prob of sequence jtij?
1/182
Three letters picked without replacement from qsztzqrsrtttrqqwwz. Give prob of sequence szs.
1/816
Three letters picked without replacement from {f: 1, o: 1, z: 1, v: 2, a: 1, s: 2}. What is prob of sequence afs?
1/168
Three letters picked without replacement from zgzdqqdzqzqg. Give prob of sequence gdd.
1/330
What is prob of sequence wqw when three letters picked without replacement from wowdwqddwdrd?
1/110
Two letters picked without replacement from {p: 4, s: 2}. Give prob of sequence pp.
2/5
Calculate prob of sequence rprp when four letters picked without replacement from rrprp.
1/10
What is prob of sequence pyc when three letters picked without replacement from {z: 1, c: 1, p: 2, y: 1}?
1/30
What is prob of sequence gy when two letters picked without replacement from gqgqggyy?
1/7
Three letters picked without replacement from kkqkkkkk. What is prob of sequence kqk?
1/8
What is prob of sequence xxtx when four letters picked without replacement from xzxxkztxzx?
1/84
Four letters picked without replacement from {g: 2, m: 8}. Give prob of sequence gmmm.
2/15
Calculate prob of sequence rmr when three letters picked without replacement from aranmddraaddrm.
1/182
Two letters picked without replacement from sossosoosohhssssos. What is prob of sequence os?
10/51
Two letters picked without replacement from {w: 1, y: 1, s: 1, m: 2}. What is prob of sequence ws?
1/20
Calculate prob of sequence osv when three letters picked without replacement from bovfqsf.
1/210
Three letters picked without replacement from hhihihiihhih. What is prob of sequence hii?
7/66
Four letters picked without replacement from {l: 13, a: 3}. Give prob of sequence laal.
3/140
Four letters picked without replacement from lhwhwwhlwhllhhwhlh. What is prob of sequence lwlw?
5/918
Two letters picked without replacement from {y: 8, v: 5}. What is prob of sequence yv?
10/39
What is prob of sequence ia when two letters picked without replacement from aaaaaaiaaaiaaaia?
13/80
Calculate prob of sequence mvt when three letters picked without replacement from {n: 2, k: 1, v: 6, t: 1, m: 3}.
3/286
What is prob of sequence jwcp when four letters picked without replacement from {c: 1, s: 1, p: 1, w: 1, j: 1}?
1/120
Calculate prob of sequence igxc when four letters picked without replacement from {i: 1, c: 3, d: 1, x: 1, g: 1}.
1/280
Four letters picked without replacement from {b: 1, h: 9, u: 2, v: 8}. Give prob of sequence buvu.
2/14535
Three letters picked without replacement from dzdlzzbbldzabqddqqqd. What is prob of sequence azl?
1/855
What is prob of sequence jsj when three letters picked without replacement from {s: 2, j: 5, c: 5}?
1/33
Four letters picked without replacement from xxexgxxxexxxgxx. What is prob of sequence exxx?
11/182
Two letters picked without replacement from ioijspa. What is prob of sequence io?
1/21
What is prob of sequence yk when two letters picked without replacement from bhbbiibiiky?
1/110
Four letters picked without replacement from {e: 3, h: 5}. Give prob of sequence ehhh.
3/28
Four letters picked without replacement from wwvwwvvwvww. Give prob of sequence vvvv.
1/330
Four letters picked without replacement from {p: 5, t: 4, g: 3, o: 4}. Give prob of sequence oooo.
1/1820
What is prob of sequence kcck when four letters picked without replacement from {k: 7, c: 9}?
9/130
Calculate prob of sequence ze when two letters picked without replacement from {e: 1, | {
"pile_set_name": "DM Mathematics"
} |
c. Calculate the remainder when c is divided by g.
12
Suppose 21*z - 203 + 77 = 0. Let q(u) = 3*u - 6. What is the remainder when q(5) is divided by z?
3
Suppose o - 12 = -3. Let w = 14 - 11. Calculate the remainder when (-160)/10*w/(-2) is divided by o.
6
Suppose n = -2*v + 144, 4*n - 18 = 2*v - 152. What is the remainder when 209 is divided by v?
67
Let f be ((-280)/25)/(4/(-30)). Let k be 4/(-14) + (-10224)/f. Let d = -55 - k. What is the remainder when d is divided by 17?
16
Suppose 1 = g + 6, -x = 4*g + 15. Let j(h) = h**2 - 3*h + 1. What is the remainder when 4 - -1*(0 + x) is divided by j(4)?
4
Let s(a) = 17*a + 1. Let p be s(2). Let k = 6 + p. Calculate the remainder when k is divided by 11.
8
Let v be -2*(2 - (-14)/(-4)). Let w(k) = 2*k + 18. Let i be w(-6). Let r = v + i. Calculate the remainder when 14 is divided by r.
5
Let w(p) = 2*p**2 - 9*p + 8. Let n be w(5). Let a = 7 + n. What is the remainder when 77 is divided by a?
17
Let s = 18 + -16. Let g(j) = -3*j**2 + 2*j - 11. Let o(m) = 2*m**2 - m + 7. Let t(r) = 5*g(r) + 8*o(r). Calculate the remainder when s is divided by t(-2).
0
Let a = 9 - -3. Let q(n) = n**2 + 17*n + 32. Let r be q(-13). What is the remainder when a is divided by ((-7)/(-5))/((-4)/r)?
5
Suppose -4*t + 9*t - 50 = 0. Suppose -2*n - 5*u = -106, -2*u - t = 4*n - 254. What is the remainder when n is divided by 21 - 4/(-6 - -2)*1?
19
Let k = -23 + 25. Let v(j) = j**3 - j**2 + 2*j - 3. What is the remainder when v(k) is divided by 4?
1
Suppose -2297 = 29*n - 4269. Let x = 18 - 11. Calculate the remainder when n is divided by x.
5
Suppose -9426 = -49*t - 2468. Calculate the remainder when t is divided by 39.
25
Suppose -5*x - 5*h + 239 = -7*h, 5*h - 37 = -x. Calculate the remainder when x is divided by 2/3 - (-74)/6.
8
Let j(s) = -32*s - 246. What is the remainder when j(-30) is divided by 16?
10
Suppose 3*p = -3*p + 24. Suppose 9*j - p*j - 420 = 0. Calculate the remainder when j is divided by 17.
16
What is the remainder when 133 is divided by (((-1620)/(-16))/(-9))/((-9)/36)?
43
Let a(r) = r**3 + 3*r**2 - 2*r + 3. Let f(d) = 19*d - 1117. What is the remainder when f(63) is divided by a(-3)?
8
Suppose 0 = 5*h + 10, h = -8*d + 11*d - 158. Calculate the remainder when 362 is divided by d.
50
Let z(k) = 18*k**2 - 4*k - 14. Calculate the remainder when z(-3) is divided by 11.
6
Let v = 871 - 836. What is the remainder when v is divided by 14?
7
Let c be 3/9*15*1. Suppose -c*p + 0*x + 11 = -2*x, p - 5*x - 16 = 0. Calculate the remainder when 75 is divided by (p + (-7)/5)*-65.
23
Let b = -106 + 147. What is the remainder when b is divided by 25?
16
Suppose 0 = 5*y + 6*u - u - 145, y = 5*u + 29. What is the remainder when 260 is divided by y?
28
Calculate the remainder when 388 is divided by (24/(-16))/(((-38)/132)/19).
91
Let a(g) = g**3 - 11*g**2 - 2*g + 26. Let v be a(11). Suppose -128 = -3*i - v*w, -28 = i - 2*i - 5*w. What is the remainder when i is divided by 7?
6
Suppose z + 4*n = 7, 3*z - 2*n - 57 - 20 = 0. Calculate the remainder when 65 is divided by z.
19
Let o = 414 + -407. Let r(k) = 6*k**3 - k + 1. Let j be r(1). What is the remainder when j/3*33/2 is divided by o?
5
Let c(m) = -m**3 + 4*m**2 - 4*m + 3. Let n be c(3). Let w = -3 + n. Calculate the remainder when 61 is divided by 6*((-2)/w + 2).
13
Suppose -o + 50 = -15. Suppose 4*g - 192 = v, o = -g + 2*g + 4*v. Calculate the remainder when g is divided by 13.
10
Suppose -3*u + 0*s = 3*s - 783, 3*s = u - 277. What is the remainder when u is divided by 55?
45
Let q(i) = -i + 5. Calculate the remainder when (-5)/15 - 2/(-6) - -4 is divided by q(3).
0
Suppose -11*y + 8*y + 6 = 0. Let m = 13 - y. What is the remainder when 37 is divided by m?
4
Let d be 2 + 2 - (-4 + 5). Suppose d*m - 210 - 291 = 0. What is the remainder when m is divided by 57?
53
Suppose -114*s = -121*s + 665. Calculate the remainder when s is divided by 33.
29
Let n = 20 - 17. Suppose -p = -0*p - 3. Suppose 0*f = -p*s - 2*f + 121, 4*f - 119 = -n*s. Calculate the remainder when s is divided by 21.
20
Let m = 41 - 31. Suppose 4*c - c - a = 1, 5*c - 4*a = -m. Suppose -2*z + 5 = 5*j, 2*j = c*z + 7 + 9. What is the remainder when j is divided by 1?
0
Let j(v) = -7*v + 5. Let l be j(-3). Let d = 4 + 11. Let b = l - d. What is the remainder when 30 is divided by b?
8
Suppose 32 = 30*q - 448. Let x = 20 + -11. What is the remainder when q is divided by x?
7
Suppose q + c - 5 = 9, -5*c = q - 30. Calculate the remainder when 306 is divided by q.
6
Calculate the remainder when (279 - -14)/(1 - 0) is divided by 103.
87
Let l(k) = 5*k - 18. Let m be l(4). Suppose -1 = -m*g + 9. Suppose 4*d - 2*y = 48, y = g*y - 16. What is the remainder when 26 is divided by d?
12
Let w(c) = -8*c + 32. Let y be w(-5). Calculate the remainder when 225/(-6)*y/(-30) is divided by 7.
6
Suppose -4*l + 455 = -56*o + 57*o, 0 = -2*o - 10. Calculate the remainder when l is divided by 31.
22
Let r(b) = -b**3 - 4*b**2 + 7*b + 4. Suppose 4*v + 10 = 2*v. Let p be r(v). What is the remainder when (132/(-9))/(1/p) is divided by 15?
13
Let q(t) = 104*t**3 - 2*t**2 + 3*t - 1. Let i be q(1). Let u = -46 + i. Calculate the remainder when u is divided by 30.
28
Suppose -12 + 3 = -3*p. Suppose p*o - 7 - 5 = 0. What is the remainder when 4 is divided by o?
0
Let b(k) = 15*k - 74. What is the remainder when 42 is divided by b(7)?
11
Suppose -4*y + 4 = -8*y. What is the remainder when 2*(-57)/6*y is divided by 5?
4
Let z = -27 + 35. Let f(j) = -j**2 + 7*j - 3. Let y be f(6). Suppose y*q + 4*p = 3*p + 62, 5*p - 16 = -q. What is the remainder when q is divided by z?
5
Suppose 10*w + 804 = 9*w. What is the remainder when 19 is divided by -3 + 31/11 - w/66?
7
Let t(d) = -d - 2. Let x(f) = f**3 - 4*f**2 + 4*f - 5. Suppose -2*r - 4*w = -24, 4 = 3*r + 4*w - 6*w. What is the remainder when x(r) is divided by t(-7)?
1
Suppose 123 = 2*d + 4*v - 49, 3*v - 319 = -4*d. Calculate the remainder when d is divided by 6.
4
Let g be (12/14)/(3/126). Let z = g + -26. Calculate the remainder when (-1)/((-2)/104)*3/4 is divided by z.
9
Let y = -31 - -11. Calculate the remainder when ((-183)/6)/(5/y) is divided by 25.
22
Suppose 18*n + 14*n = 4032. What is the remainder when n is divided by 12?
6
Let v = 29 - 14. Let l = 7 + -1. Suppose -l*y + 2*y = -228. Calculate the remainder when y is divided by v.
12
Suppose 0 = 4*o + 3*v - 90, 2*v = -4*o - o + 109. Suppose -2*z + 555 = 347. What is the remainder when z is divided by o?
20
Let f(l) = 37 + l + l**2 - 37. Let t be f(3). Calculate the remainder when 1 + t/4 + 27 is divided by 8.
7
Suppose 0 = -19*w + 13*w + 102. Calculate the remainder when 82 is divided by w.
14
Calculate the remainder when 155 is divided by 24/(-20)*-5*2.
11
Suppose 5*t = t + 120. Let s = 58 + -53. What is the remainder when s is divided by -3*4/t*-5?
1
Let z be ((-3)/(-24)*14)/((-6)/168). Let m = z - -98. What is the remainder when m is divided by 13?
10
Suppose -s = 1 - 4. Suppose 4*x - 180 = -4*o, 5*o + s*x = -0*o + 223. Let z = o + -6. Calculate the remainder when z is divided by 20.
18
Suppose 3*m + 15 - 144 = 0. Let g = -31 + m. Calculate the remainder when g is divided by 8.
4
Let r(n) = n**3 - 3*n**2 + n + 3. Let j be r(3). Suppose j*i - 40 = i. What is the remainder when 23 is divided by i?
7
Calculate the remainder when 136 is divided by 100/70*-1*-49.
66
Suppose 25*i - 288 = -47*i. Suppose 0 = 3*q + 4 - 1, 5*k - 2*q = 72. Calculate the remainder when k is divided by i.
2
Suppose -117 = 2*r + p + 28, 5*r = 3*p - 335. Let t = 120 + r. Calculate the remainder when t is divided by 21.
8
What is the remainder when 63 is divided by 2/16 - 1143/(-72)?
15
Let k(c) = c + 28. Suppose 8*h - 54 = 2*h. What is the remainder when k(15) is divided by h?
7
Let y = 44 - 41. Suppose 0 = j - 2*c, -3*c + 2 + 43 = y*j. What is the remainder when 15 is divided by j?
5
Let s = -3 - -4. Calculate the remainder when 128 - (-3 + (-2)/s) is divided by 17.
14
Let r = 212 + -205. What is the remainder when (-4)/8*2 + 19 is divided by r?
4
Suppose -3*o = -5*i - 138, -2*o + 131 = 3*i + 20. Calculate the remainder when o is divided by (33/((-132)/(-8)))/(2/26).
25
Let w be ((-4)/(-8))/((-2)/244). Let s = w - -119. What is the remainder when s is divided by (-324)/( | {
"pile_set_name": "DM Mathematics"
} |
Which is bigger: 140/5279 or -1?
140/5279
Which is smaller: -1 or 0.0803853?
-1
Which is greater: 2159 or 2077?
2159
Which is bigger: 2 or 10.172?
10.172
Is -66406 less than 0.1?
True
Which is smaller: 2 or 163/123?
163/123
Which is smaller: 193 or 214?
193
Which is bigger: -815 or -2?
-2
Which is smaller: 73092 or 73087?
73087
Which is greater: -708229 or -708228?
-708228
Which is smaller: -2477 or -1449?
-2477
Is -5 <= -556/145?
True
Is 1 < -99825?
False
Are 449/4 and -275 non-equal?
True
Is 0.2 at most 30960/77?
True
Which is greater: 0 or -33/5024?
0
Which is smaller: 0.05 or -420/73?
-420/73
Is -1984638 at most as big as -1984638?
True
Is -4 bigger than 8/6149?
False
Is -19815 < -19844?
False
Is -832 equal to -4157/5?
False
Are -2 and -156.414 unequal?
True
Is -2/290955 < 0?
True
Are -0.05 and 903 unequal?
True
Is -1 greater than 2/30447?
False
Which is bigger: 0 or 2/2810315?
2/2810315
Is 93297 smaller than 93298?
True
Is 7/80760 greater than or equal to 1?
False
Which is greater: 0.02126 or 0.6?
0.6
Which is bigger: -1196 or -1208?
-1196
Which is smaller: 6217 or 62181/10?
6217
Which is smaller: 716934 or 0?
0
Which is greater: 2517/7 or 361?
361
Is 222684 < 222686?
True
Which is greater: 105/43 or 3?
3
Which is greater: 3919/45 or 1?
3919/45
Which is smaller: -5 or 0.013?
-5
Is 19969 greater than or equal to 19971?
False
Is 267/14761 greater than -1?
True
Is 1406/47 > -0.2?
True
Is -53284 less than or equal to -53266?
True
Is 211 > 135/7?
True
Which is greater: -52.7 or 1846?
1846
Which is bigger: -152371 or 1.6?
1.6
Is -9430/11 greater than -857?
False
Is 25232 greater than -2?
True
Is 344/7437 equal to -1?
False
Which is greater: -0.58874 or -0.1?
-0.1
Are 1016 and 966 equal?
False
Which is bigger: 21/51932 or 1?
1
Which is smaller: 498.583 or 3/4?
3/4
Is 0 smaller than 186/1775?
True
Is -6047/739 greater than or equal to -9?
True
Is 75312 not equal to 75312?
False
Which is smaller: 11997 or 11999?
11997
Which is bigger: 1 or -149/4129?
1
Which is bigger: 12148 or 36448/3?
36448/3
Which is bigger: 17 or 3547/209?
17
Which is smaller: 12 or 49560?
12
Which is bigger: 3152 or 148096/47?
3152
Is -68143 greater than or equal to -68143?
True
Is 295/9 > -15/13?
True
Which is smaller: 99 or 2875/29?
99
Which is greater: -124 or 13?
13
Which is smaller: -2/7 or 251775?
-2/7
Does 538/813 = 1?
False
Is 3543 at least 87?
True
Which is smaller: 3/19 or 1/1819?
1/1819
Which is smaller: 56052/17 or 3298?
56052/17
Are -8188 and -8187 equal?
False
Which is bigger: -0.034 or 562?
562
Which is smaller: -4756 or -4830?
-4830
Which is greater: 55/1037 or 0?
55/1037
Is -75704 at most as big as -75704?
True
Is -9 > -35/19?
False
Are -4136/265 and -15 equal?
False
Is -515423 less than or equal to -515428?
False
Are -1/292608 and 1 equal?
False
Which is greater: -45 or -19459?
-45
Is 4715/2 greater than or equal to 2359?
False
Is 30 != 353/12?
True
Is -340/8629 bigger than -1?
True
Which is smaller: -1513679 or 2/5?
-1513679
Which is bigger: 0 or -250/43127?
0
Is -2161 <= -2158?
True
Which is smaller: -59946 or -1?
-59946
Is -1049/4 > 1.1?
False
Is 0 greater than -43/13868?
True
Is 27945 at most 28080?
True
Which is smaller: 0 or -1/410988?
-1/410988
Which is greater: 28245 or 28247?
28247
Which is smaller: 60456 or 60454?
60454
Which is bigger: -10680 or -10657?
-10657
Is 0 less than or equal to 4.777?
True
Which is bigger: 161062 or 161063?
161063
Is 1038.164 < -1/2?
False
Do -155434 and -155433 have the same value?
False
Is -78 > 16?
False
Is -4072 less than -4102?
False
Is -258 greater than or equal to 605.1?
False
Is 2 at most as big as 23889?
True
Do -238 and -402 have the same value?
False
Are 644 and 21287/33 non-equal?
True
Which is smaller: -1 or -89/447?
-1
Is 1 >= 68/238737?
True
Which is smaller: -13/212965 or -1?
-1
Which is bigger: -16126 or 3?
3
Which is bigger: 2129 or 78?
2129
Which is smaller: 147/2455 or -1?
-1
Are -1/6 and -978 unequal?
True
Is 69417/5 greater than 13883?
True
Are 42741 and 128222/3 unequal?
True
Is 2265.16 greater than or equal to -4?
True
Is -62/7759 greater than 1?
False
Is 3 less than or equal to 1767/449?
True
Which is smaller: 234920 or 234921?
234920
Which is smaller: -42167 or -42128?
-42167
Which is bigger: 1 or 55/183?
1
Is -48416 equal to -8?
False
Is -43337 at least as big as -43331?
False
Is -10057 < -10062?
False
Which is bigger: -81890 or -0.1?
-0.1
Is -2/328331 equal to -1?
False
Is -1 at most as big as 2/43009?
True
Which is smaller: -61 or -279?
-279
Which is bigger: -256238 or 2/3?
2/3
Which is smaller: 53220 or 53219?
53219
Which is bigger: -105 or -95?
-95
Is -946 greater than or equal to -62.6?
False
Which is smaller: -5/563 or -1?
-1
Is 1857724 >= 1857726?
False
Is -68699/3 bigger than -22901?
True
Is -57 >= -30358/523?
True
Which is smaller: 0 or 10/4647?
0
Is -3/169 at least as big as 107?
False
Which is smaller: 39088/65 or 601?
601
Which is smaller: 3 or -0.1356?
-0.1356
Which is bigger: 1 or 205/17516?
1
Which is smaller: -19/12112 or 0?
-19/12112
Is -2/11 at least as big as -18833?
True
Which is greater: 16427 or 16424?
16427
Which is bigger: 306/9293 or 1?
1
Which is bigger: 0 or 2/266563?
2/266563
Is -3592 smaller than -3596?
False
Is 0.118 bigger than -88.8?
True
Is 154646 not equal to 154638?
True
Which is smaller: 77666 or 77664?
77664
Which is smaller: -42497 or -127487/3?
-42497
Are 1 and -4/222903 nonequal?
True
Which is smaller: -289 or -26289/91?
-289
Is -49 greater than -60?
True
Which is greater: 222.87 or 9?
222.87
Which is smaller: 4495889 or 4495888?
4495888
Is -43916 > 2/7?
False
Is -205/2 at least as big as 10?
False
Are -2916 and -2925 nonequal?
True
Is 192293 at least 192292?
True
Which is greater: 256 or 89?
256
Which is greater: -1/12818 or 0?
0
Which is smaller: 395 or 305?
305
Is 1070 >= 939?
True
Is -3017 at most -3017?
True
Which is bigger: 5700 or 170?
5700
Is 77 at least as big as 2784?
False
Which is smaller: 573 or -11?
-11
Which is greater: 1/9050 or -1?
1/9050
Is 1699097/9 bigger than 188790?
False
Which is smaller: 1 or -3/73972?
-3/73972
Which is smaller: 6350 or -9?
-9
Which is greater: 2/227 or 7345?
7345
Is 53815 not equal to 0.18?
True
Which is smaller: 6 or -3103?
-3103
Are 2/252613 and 1 equal?
False
Which is greater: 553 or 1/146?
553
Does 144 = 125?
False
Which is smaller: -460532 or -460533?
-460533
Is 54/5087 at least as big as 1?
False
Is 2/407107 greater than -2?
True
Which is smaller: -350 or 49?
-350
Are -0.2 and 53662 equal?
False
Which is smaller: 145891 or 145900?
145891
Is 0 less than or equal to 10823/4?
True
Is -78617 at most as big as 0.9?
True
Is 661642 > 661641?
True
Which is bigger: 83830 or 83829?
83830
Which is bigger: 7982725/3 or 2660907?
7982725/3
Do -12 and -97 have the same value?
False
Are -5065/111 and -47 unequal?
True
Which is smaller: 25961 or 129806/5?
25961
Which is smaller: 1132/6321 or -1?
-1
Is 1240 less than 1248?
True
Is 0.2599 > -0.2?
True
Is -2/207253 less than or equal to 1?
True
Which is smaller: -798407 or -798406?
-798407
Is -120 equal to 178?
False
Are 0 and -20/206581 equal?
False
Are -40369 and -40367 unequal?
True
Which is greater: 0 or -2419/8?
0
Is 77 at most 123?
True
Do -14 and -20/47 have the same value?
False
Is 3 < 112757?
True
Which is bigger: 188 or 4319/23?
188
Which is smaller: 23848/131 or 182?
182
Which is smaller: -46/13 or 3/100?
-46/13
Is -35 at least as big as -28?
False
Which is smaller: 41811/26 or 1609?
41811/26
Which is smaller: -7442 or 2/13?
-7442
Is -66993 < -133985/2?
True
Which is greater: -1722891 or -1722893?
-1722891
Is 0 greater than -13/70484?
True
Which is smaller: -10670/7 or -1525?
-1525
Which is smaller: -2/892469 or -1?
-1
Is 11 equal to 74?
False
Which is smaller: 21189/8 or 3/10?
3/10
Is 30767 < -11?
False
Which is smaller: 0 or 526/1961?
0
Which is smaller: 0 or 131/5386?
0
Is -16902 less than -16898?
True
Which is greater: -3138 or 89?
89
Which is smaller: -56309 or -56308?
-56309
Which is smaller: -1078 or 36?
-1078
Is 30 at most as big as 7/96?
False
Is -441131 greater than or equal to -441134?
True
Which is smaller: 180 or 227?
180
Which is smaller: 17819 or 17798?
17798
Which is greater: 7 or 1746?
1746
Which is greater: 1 or 104/58899?
1
Is -1496888 at most | {
"pile_set_name": "DM Mathematics"
} |
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