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) be the second derivative of -52*m**3/3 - 2*m - 290. Let z(c) = -9*c**2. What is x(z(g))?
936*g**2
Let t = 3332 - 3329. Let n(q) be the third derivative of 1/6*q**t + 0 + 1/24*q**4 - 26*q**2 + 0*q. Let i(r) = 2*r. Determine n(i(y)).
2*y + 1
Let t(h) be the first derivative of 59*h**6/360 - 10*h**3 - 7. Let d(b) be the third derivative of t(b). Let f(z) = z. Determine f(d(v)).
59*v**2
Let s(u) be the first derivative of -u**4/4 + 99*u + 66. Let b(v) be the first derivative of s(v). Let y(i) = -23*i - 1. Give b(y(f)).
-1587*f**2 - 138*f - 3
Suppose 0 = s - 2*s + j + 4, -4*s + 14 = -5*j. Let v(r) = s*r + 12791 - 12791. Let x(c) = 22*c**2 + 15*c**2 - 35*c**2. What is v(x(b))?
12*b**2
Let x(l) = -3*l - 7. Let u(f) = -9*f**2 + 10360*f. Calculate x(u(k)).
27*k**2 - 31080*k - 7
Let y(s) = -4*s**2. Let w(v) be the first derivative of -v**2 + 133. Let d(u) = -2*u. Let p = 11 - 8. Let h(k) = p*w(k) - 2*d(k). What is h(y(o))?
8*o**2
Let s(c) = -c**2 + 23*c + 54. Let w be s(25). Let u(i) = w*i**2 + 85*i - 162*i + 77*i. Let t(z) = 20*z. Calculate t(u(g)).
80*g**2
Let c(o) = -1118*o - 21 + 1115*o + 8 - 10. Let i(b) = -4*b. Determine c(i(z)).
12*z - 23
Let y(m) = 40*m + 2*m**2 - 40*m - 153. Let s(f) be the third derivative of f**4/24 - 284*f**2 + 1. What is y(s(l))?
2*l**2 - 153
Let b(k) = 1214*k**2. Let f(l) = -l. Let h(j) = -9*j. Let x(m) = -7*f(m) + h(m). Calculate x(b(y)).
-2428*y**2
Let u(l) = 5*l + 10. Let y(t) = -t - 1. Let f(o) = u(o) + 4*y(o). Let v(w) = 3*w + 11. Let a(d) = -11*f(d) + 6*v(d). Let z(m) = -m**2. What is a(z(g))?
-7*g**2
Let j(t) be the third derivative of 9*t**5/20 + t**2. Let o(l) be the third derivative of l**5/20 - 91542*l**2. Give o(j(n)).
2187*n**4
Let p(i) = 2*i. Let t(d) = 3303208*d. What is t(p(y))?
6606416*y
Let y(o) be the second derivative of o**4/12 + 67*o - 6. Let k(j) = 6*j - 47. Give y(k(q)).
36*q**2 - 564*q + 2209
Let k be 465180/135 + (-2)/(-9). Let f(v) = -v**2 + 3446*v - k*v. Let m(h) = -330*h**2. Determine m(f(j)).
-330*j**4
Let j(g) be the third derivative of g**4/8 - 5*g**2. Let u(b) = -61*b**2 - 59*b**2 - 56*b**2 + 175*b**2. Calculate u(j(i)).
-9*i**2
Let c(n) = 522079*n**2. Let t(g) = 236*g**2. Determine c(t(s)).
29077711984*s**4
Let t(c) = 142*c**2. Let f(a) be the third derivative of -a**5/60 + 59*a**3/6 - 33*a**2 - 1. Let u(k) be the first derivative of f(k). What is t(u(w))?
568*w**2
Let i be 2 - 4 - 10/(-5). Let d(b) = -3*b + 6*b + i*b. Let f(l) = 210*l**2 - 422*l**2 + 202*l**2. Give d(f(y)).
-30*y**2
Let m(b) = b. Let u(d) = d**2 + 76*d - 5756. Determine m(u(y)).
y**2 + 76*y - 5756
Let d(m) = -m**2. Suppose -w + 4*r + 10 = 0, -r - 6 = -w - 2. Suppose 5*a - 6*a - x = -94, -a + 3*x + 78 = 0. Let t(h) = 10*h**w - 90*h + a*h. What is d(t(y))?
-100*y**4
Let b(n) = 1138*n**2 + n + 242. Let d(t) = -40*t. What is b(d(u))?
1820800*u**2 - 40*u + 242
Let w(i) = -371 + 2*i**2 - 361 + 732 - 5*i**2. Let x(r) = 1118*r. Determine w(x(g)).
-3749772*g**2
Let x(j) = 158*j + 12. Let t(b) = 135*b + 10. Let u(z) = 7*t(z) - 6*x(z). Let i(n) = 1. Let y(l) = -l - 3. Let o(f) = -12*i(f) - 4*y(f). What is u(o(p))?
-12*p - 2
Let g(s) = 9957286*s**2. Let l(z) = -z. What is l(g(i))?
-9957286*i**2
Let f(i) = i - 8. Let d(j) = -296*j + 585. Let u(n) = -222*n + 450. Let k(v) = 10*d(v) - 13*u(v). Calculate f(k(o)).
-74*o - 8
Let y(k) = -1263*k + 1906*k - 987*k. Let v(z) = 7*z. Determine y(v(h)).
-2408*h
Let h(v) = -4*v. Let r(u) = -2553057*u. Calculate h(r(t)).
10212228*t
Let h = -46 + 57. Let w(x) = -11 - 2*x**2 - 7*x**2 + h. Let p(b) = -b + b**2 + b. Determine p(w(k)).
81*k**4
Let h(m) = -12*m**2 + 1625*m. Let o(y) = 147*y. Determine o(h(l)).
-1764*l**2 + 238875*l
Let b(q) = -q + 8. Let o be b(6). Let r(z) = 0 + 4*z**o + 0. Let s(a) = 4*a + 1. Let c(x) = 5*x**2 - 20*x - 5. Let d(u) = -c(u) - 5*s(u). Determine d(r(f)).
-80*f**4
Let c(o) = 158*o - 2 + 152*o - 479*o + 157*o. Let m(x) = 61*x + 11. Let n = -2 - -13. Let i(a) = n*c(a) + 2*m(a). Let g(p) = p**2. What is i(g(l))?
-10*l**2
Let b(s) = -8*s + 20. Let r(y) = 13*y - 32. Let q(t) = 8*b(t) + 5*r(t). Let d(p) = -857*p**2. Give q(d(j)).
-857*j**2
Let f(q) = -5*q**2 - 4. Let b be ((-476070)/63)/((-1)/3). Let y(n) = 22670*n - 4*n**2 - b*n + 5*n**2. Determine f(y(l)).
-5*l**4 - 4
Let f(c) be the first derivative of c**2 - 26. Let a = 22 + -22. Let w(v) = 2*v**2 - 7*v**2 - 3*v**2 + a*v**2. Determine f(w(g)).
-16*g**2
Let f(b) = 9*b**2 + 29*b + 120. Let r(d) = 11*d**2 + 36*d + 119. Let t(l) = 5*f(l) - 4*r(l). Let y(o) = 2*o. Calculate y(t(h)).
2*h**2 + 2*h + 248
Let b(s) be the second derivative of s**3/6 + 280*s. Let g(c) = -43*c**2 + 1. Calculate b(g(q)).
-43*q**2 + 1
Let s(l) = 92*l + 435870. Let i(q) = -3*q. Calculate i(s(p)).
-276*p - 1307610
Let l(t) = 2*t**2 - 8*t - 12. Let k(y) = 4*y + 6. Let i(r) = 2*k(r) + l(r). Let x be 9/15 + 96/15. Let d(b) = b**2 + x*b**2 - 6*b**2. Determine d(i(a)).
8*a**4
Let l(v) = -2*v**2. Let f(b) = -120*b**2 + 20371*b. What is f(l(y))?
-480*y**4 - 40742*y**2
Let l(k) = -55*k**2 - 72*k**2 - 72*k**2 - 67*k**2 + 269*k**2. Let d(q) = 5 - 5 + 9*q**2. Determine d(l(j)).
81*j**4
Let k(j) = 17*j**2 + 8*j - 4. Let s(t) = 30*t**2 + 14*t - 7. Let a(q) = 7*k(q) - 4*s(q). Let b(c) = 947*c + 3. Determine a(b(v)).
-896809*v**2 - 5682*v - 9
Let t(m) = 2*m**2. Let f(l) be the second derivative of -215*l - 1/2*l**2 + 0 + 269/6*l**3. Give f(t(w)).
538*w**2 - 1
Let x(z) = -124*z**3 - 5*z**2 + z - 6. Let l be x(-4). Let u(h) = h**2 - l*h + 7846*h. Let q(c) = 10*c - 1. Determine u(q(k)).
100*k**2 - 20*k + 1
Let v(s) = -s**2 - 10*s - 5. Let x be v(-8). Suppose 9 = -2*d + x. Let i(l) = -d + l + 1 + 0. Let h(u) = u - 11. Determine i(h(y)).
y - 11
Let m(i) be the third derivative of -i**5/60 - i**3 - 602*i**2. Let d(b) = 0*b**2 - 2*b + 2*b + 2*b**2. What is d(m(j))?
2*j**4 + 24*j**2 + 72
Let o(h) = -4*h. Let y(v) be the first derivative of v**5/15 - v**2 - 27*v + 127. Let a(b) be the second derivative of y(b). Give a(o(n)).
64*n**2
Let j(g) = 22*g. Let u(c) = c**2 - 2*c + 1. Let o(i) = 98*i**2 - 294*i + 147. Let s(v) = -o(v) + 147*u(v). What is j(s(z))?
1078*z**2
Let j(s) = -202904*s + 100617*s + 97656*s. Let g(k) = -2*k. Determine g(j(u)).
9262*u
Let w(f) = -57453 - 6*f**2 + 57453. Let k(j) = 281*j - 2*j**2 - 281*j. What is w(k(i))?
-24*i**4
Let g(o) be the first derivative of 13*o**3 + 8 - 1 - 5*o**3 - 7*o**3. Let d(s) be the second derivative of -19*s**4/6 + 285*s. What is g(d(t))?
4332*t**4
Let t(l) be the first derivative of -l**3/3 + 1. Let g(o) be the first derivative of -156*o**3 + 75*o**3 + 278 + 83*o**3 - 7*o. Give t(g(h)).
-36*h**4 + 84*h**2 - 49
Let n(k) = -3*k. Let b(l) = 21558862*l. What is b(n(v))?
-64676586*v
Let g(a) = -a. Let f(r) = 242*r**2 - 697246. Give g(f(i)).
-242*i**2 + 697246
Let m(a) = a**2 - 3*a + 4. Let b be m(-7). Let u = -71 + b. Let x(n) = -12 + u + 9 - 10*n**2. Let s(o) = -o. Determine s(x(r)).
10*r**2
Let a(g) = g**2. Let s be 6*(2 - -3 - (-7)/3). Let v(k) = -103*k**2 + s*k**2 - 69*k**2 - 20*k**2. Determine v(a(z)).
-148*z**4
Let w(b) = 0*b + 0 + b + 3*b - 19. Let o be w(6). Let j(r) = 5 + 3*r - o. Let u(s) = 5*s**2. Determine j(u(a)).
15*a**2
Let n(x) = 9*x. Let z(m) = 217405 - 57*m - 217405. Determine z(n(t)).
-513*t
Let c(w) = -w**2. Let d(y) = -98607115*y. What is c(d(x))?
-9723363128623225*x**2
Let d(g) = -5*g + 3. Let u(w) = 561*w - 363. Let k(p) = 242*d(p) + 2*u(p). Let z(f) = 5*f**2. What is z(k(o))?
38720*o**2
Let a(p) = -p + 1074. Let u(q) = 207*q. Let g(r) = -166*r. Let d(y) = -5*g(y) - 4*u(y). Determine a(d(c)).
-2*c + 1074
Let k(u) = 67*u**2. Let t(z) = -4*z**2 + 182*z + 25. Give t(k(s)).
-17956*s**4 + 12194*s**2 + 25
Let l(m) be the second derivative of 20*m - 1/15*m**5 + 0*m**3 + m**2 + 0 + 0*m**4. Let r(t) be the first derivative of l(t). Let p(q) = -2*q. Give p(r(v)).
8*v**2
Suppose 10*y - 5738 = 1042. Let h(p) = -y*p - 667*p + 1352*p. Let a(u) = 3*u**2. Give h(a(z)).
21*z**2
Let u(h) = 14441*h**2 - 2*h - 1. Let w(r) = r. Determine w(u(j)).
14441*j**2 - 2*j - 1
Let c(z) = 1486*z. Let f(x) = 3*x**2 - 115*x - 10. Let n(m) = 5*m**2 - 184*m - 16. Let a(w) = 8*f(w) - 5*n(w). What is a(c(d))?
-2208196*d**2
Let m(v) = -624*v. Let g(l) = -189719883 + 4*l + 189719883. Determine m(g(n)).
-2496*n
Let c(p) = -11*p**2. Let h(n) = 64802*n | {
"pile_set_name": "DM Mathematics"
} |
949
What is the third derivative of -2*z**4 + 5456*z**3 - 3*z**2 + 1088 wrt z?
-48*z + 32736
Differentiate 2262*j**2 - 14*j - 21649 with respect to j.
4524*j - 14
Differentiate -10*l*q*z - 1658*l*z**2 + 2*q*z**2 + 4*q*z - z**2 - 453 with respect to l.
-10*q*z - 1658*z**2
Find the third derivative of 2*g**6 + 452894*g**5 - 2*g**2 + 2*g + 612569 wrt g.
240*g**3 + 27173640*g**2
What is the third derivative of 369*b**2*i**3 - 2*b**2*i**2 - 4025*b*i**4 + 1102833*b*i**2 wrt i?
2214*b**2 - 96600*b*i
Find the second derivative of -29072*l**4 + 4*l**3*s + 12250*l + s wrt l.
-348864*l**2 + 24*l*s
What is the third derivative of 2*g**3*n - 8764*g**3 + g**2*n - g**2 + 69*n + 14 wrt g?
12*n - 52584
Find the second derivative of -210424*p**2 + 65*p + 8 wrt p.
-420848
Find the first derivative of 2*a*i*l**2 - 61650*a*i - 3*i*l**2 + 159*i*l wrt a.
2*i*l**2 - 61650*i
What is the second derivative of -26203*g**2*k*n**2*t + 21*g*k*n**2 - 2*g*k*n*t - 3*g*k - g*n - 2*n**2 + 6*n*t wrt g?
-52406*k*n**2*t
What is the third derivative of 392*y**4 - 1747*y**3 + 3443720*y**2 wrt y?
9408*y - 10482
What is the derivative of 45443*b**2*z - b**2 - 30*b + 247*z - 1600 wrt b?
90886*b*z - 2*b - 30
Find the second derivative of 75*q**2*u**2 + 207*q**2*u + 7*q**2 + 467*q*u - 1077*u**2 wrt q.
150*u**2 + 414*u + 14
Differentiate -3175921*f*w - 57673*w + 3 with respect to f.
-3175921*w
What is the derivative of k**2*l + 58720*k**2 + 19567*k*l wrt l?
k**2 + 19567*k
Find the third derivative of 77371*q**3 - q**2 - 21*q - 215 wrt q.
464226
What is the second derivative of -25445*b**2*w**2 + 34204*b**2*w + w**4 - w wrt w?
-50890*b**2 + 12*w**2
What is the second derivative of -16*u**5 - 2*u**4 - 91*u**2 + 3805*u - 4?
-320*u**3 - 24*u**2 - 182
Differentiate 84*z**3 + z**2 - 10556*z - 3389960 with respect to z.
252*z**2 + 2*z - 10556
Find the third derivative of 1709*g**2*y**3 - g**2 - g*y**2 + 92*y**3 + 212*y - 136 wrt y.
10254*g**2 + 552
Differentiate 30114*j**2 - 26131 with respect to j.
60228*j
Find the second derivative of 118*h**3*k + 5*h**2*k - 54*h**2 + 8*h*k - 2*h - 2*k + 10079 wrt h.
708*h*k + 10*k - 108
Find the third derivative of 14805*j*k**3*v - 2*j*k*v - j*k + 887*j + 9*k**3*v + 2*k**2 wrt k.
88830*j*v + 54*v
What is the third derivative of -5*s**4*w + 108*s**4 + 490*s**3 + 3*s**2*w - 963*s*w - 2*s - 5*w wrt s?
-120*s*w + 2592*s + 2940
What is the second derivative of 995*l*n**2*o**2 - 3*l*n*o**2 + 32*l*n*o + 10*l*o**2 + 70*n**2*o**2 + 2*n*o**2 + 6*n*o wrt n?
1990*l*o**2 + 140*o**2
What is the derivative of 3*j**4 - 3*j**3 + 156*j + 116186 wrt j?
12*j**3 - 9*j**2 + 156
Find the third derivative of -2282*g**5 - 4560*g**2 + 5 wrt g.
-136920*g**2
Differentiate 2118060*a**2 + a + 3278761 with respect to a.
4236120*a + 1
What is the second derivative of -20252*j**4 - 102*j + 377?
-243024*j**2
Find the third derivative of -203*p**4*w - 5342*p**4 + p**3*w - 176*p**2*w - 6*p**2 + p*w - 10*p - w wrt p.
-4872*p*w - 128208*p + 6*w
Differentiate -21*k**4 - 1159*k*p**3 - 39642*p**3 wrt k.
-84*k**3 - 1159*p**3
Differentiate -31486*n + 32709 with respect to n.
-31486
Differentiate 1417589*f**2*h - 8*f**2 - f - 35769 wrt h.
1417589*f**2
Find the third derivative of 3*o**5 + 3*o**4*p - 1060*o**3 - 101*o**2*p + 360*o + 1 wrt o.
180*o**2 + 72*o*p - 6360
What is the derivative of 17053*a**2 + 11859 wrt a?
34106*a
Find the second derivative of -c**2*d*h**3*n - 3813*c**2*h - 3*c*d*h**3*n + 2*c*d*h**2 - 17*c*d*h*n - 2*h*n wrt c.
-2*d*h**3*n - 7626*h
Find the second derivative of -45190*m**3*u - m*u + 943*m - u + 5 wrt m.
-271140*m*u
What is the second derivative of 21773*a**3 + 46969*a?
130638*a
What is the derivative of -26449*c**2*s + 2*c*s**2*t + c*t + 14479*s**2*t - 7*s**2 wrt c?
-52898*c*s + 2*s**2*t + t
What is the derivative of -1026*q**3 - 179*q**2 - 679881 wrt q?
-3078*q**2 - 358*q
What is the second derivative of 3520931*y**2*z - 1092*y*z + 66*y - 13 wrt y?
7041862*z
Find the first derivative of 4060*d*u + 129*d - 39*u + 1802 wrt u.
4060*d - 39
Find the second derivative of -36896*h**2*s**2 - 174*h**2*s - 6*h**2 + 3*h*s**2 - s**2 + 2*s wrt s.
-73792*h**2 + 6*h - 2
Differentiate -5709*d**4 + 4*d**3 + 43166 with respect to d.
-22836*d**3 + 12*d**2
Find the first derivative of -1516421*d**2 - 979429 wrt d.
-3032842*d
Find the second derivative of 2*x**4 - 4*x**3 + 153*x**2 - 36153*x.
24*x**2 - 24*x + 306
Differentiate -9*w**3 - 3147*w + 1927189 wrt w.
-27*w**2 - 3147
Find the second derivative of 1168305*m**2*u**2 + 6*m*u**2 + 69567*m*u wrt m.
2336610*u**2
Find the third derivative of -581564*j**3 + 1093618*j**2.
-3489384
What is the third derivative of -1239996*i**5 - 35964*i**2 - 12*i wrt i?
-74399760*i**2
Find the third derivative of -2*b**2*s**3*z**2 + 5*b**2*s**2*z - 2*b**2*s**2 + 390416*b**2*s*z**3 + b*s**3*z**4 + 201*b*s**3*z**2 + 16*s**3 + 6*s**2 wrt z.
2342496*b**2*s + 24*b*s**3*z
What is the second derivative of -24*j*y**5 - 90*j*y**3 + 63*j*y - j - 2*y - 27 wrt y?
-480*j*y**3 - 540*j*y
Find the second derivative of -13*g**4*l**2 - 24406*g**2*l**3 + 2*g*l - 451*g - l**3 - 16*l**2 wrt g.
-156*g**2*l**2 - 48812*l**3
What is the derivative of -202796*g**3 - 251898 wrt g?
-608388*g**2
Find the first derivative of 40*d*h*r**3 + 17*d*h*r**2 - 3*d*r**3 - 5*d - 31*h - 16*r**3 - 168*r**2 + 2*r wrt h.
40*d*r**3 + 17*d*r**2 - 31
Find the third derivative of 96700*h**4 - 3421216*h**2 wrt h.
2320800*h
Find the third derivative of 2665*p**3*q + 7*p**3 + 43*p**2*q - 819*p**2 wrt p.
15990*q + 42
Differentiate -5599*f**3 + 2*f + 161459.
-16797*f**2 + 2
Find the second derivative of -11884*v**2 + 61772*v.
-23768
Differentiate 45018*k*m - 46414*k - 2 wrt m.
45018*k
Differentiate -2*s*w**4 + 74057*s - 59133*w**4 wrt w.
-8*s*w**3 - 236532*w**3
What is the third derivative of -115*w*x**3 - w*x**2 - 37*x**3 - 223*x**2 - 6 wrt x?
-690*w - 222
Find the third derivative of -3*b*p*q*z**3 - b*p*q - 2*b*p*z**2 - 8*b*p*z + b*q*z - 88*b*z**4 - 3*b*z**2 - 429*b*z + 78*p*q*z**3 + 10*p*q*z**2 wrt z.
-18*b*p*q - 2112*b*z + 468*p*q
Find the second derivative of -12306*i**2*k**2 + 22*i**2*k - k**5 + 63*k + 5 wrt k.
-24612*i**2 - 20*k**3
Find the third derivative of -7381*k**3 + 12*k**2 + 113*k wrt k.
-44286
What is the second derivative of -24*h**3 - 964*h**2 - 97179*h wrt h?
-144*h - 1928
Find the second derivative of -2*b**3 + 1964349*b**2*z - 19*b*z - 49305*b wrt b.
-12*b + 3928698*z
Find the second derivative of 23*j**3*o**2 + 3451*j**3*o + 2*j**3*s + 3*j**2*o*s - 3*j*o**2*s - 2*o**2*s + 7*o**2 wrt o.
46*j**3 - 6*j*s - 4*s + 14
What is the third derivative of -a**3*x**5 - 21869*a**3*x**4 + a**3*x**2 + 84716*x**2 wrt x?
-60*a**3*x**2 - 524856*a**3*x
What is the third derivative of -133*o**3*s**2 + 46*o**3*s + 5348*o**2*s + s**2 - 4 wrt o?
-798*s**2 + 276*s
What is the third derivative of 4683*j**4 - 7*j**3 - 782*j**2 + 7*j wrt j?
112392*j - 42
Find the third derivative of -81937*a**3 + 2805649*a**2 wrt a.
-491622
What is the first derivative of 107127*o**2*v - 121209*o**2 - 2*o*v wrt v?
107127*o**2 - 2*o
Find the third derivative of 70561*h**6 + 15231*h**2 wrt h.
8467320*h**3
Differentiate 2*r**4 + 33457*r**3 + 2*r - 590799.
8*r**3 + 100371*r**2 + 2
What is the second derivative of 98502*k**4*s**2 + k**3*s**2 - 123784*k*s**2 wrt k?
1182024*k**2*s**2 + 6*k*s**2
What is the second derivative of -c**3*s**2 - 100*c**3*s - 141*c**2*s + 1043717*c*s**2 - 3*c*s wrt s?
-2*c**3 + 2087434*c
Find the first derivative of 25*t*w*x**3 - 294*t*x**3 + 3*t*x**2 - 458*w*x**3 - 109*w wrt t.
25*w*x**3 - 294*x**3 + 3*x**2
What is the derivative of -33896*p**2 - 43020?
-67792*p
What is the second derivative of 3478237*n**2 - 114647*n + 3?
6956474
What is the third derivative of 5*s**6*t + 13774*s**4*t - 136*s**2 + 42*t - 3 wrt s?
600*s**3*t + 330576*s*t
Find the second derivative of 40*b**3*n + 17467*b**3 + 374*b*n - b + 10*n - 50 wrt b.
240*b*n + 104802*b
Find the second derivative of 4*a**3*v*x + 10*a**3*x**2 + 2*a**3*x - 33*a*v*x**2 - 2*a*v*x - 2*a*x**2 - 364*v wrt x.
20*a**3 - 66*a*v - 4*a
Find the second derivative of 1118*i**2*m*q**3 - 11*i**2*m - i**2*q**2 + 2*i*q**3 + 5*i*q - 2*m*q**2 - 6681*q**2 wrt i.
2236*m*q**3 - 22*m - 2*q**2
Differentiate 16016*c*h**2 - 5*c*h*p**2 + 2*c*p**2 + 307*h**2*p**2 wrt p.
-10*c*h*p + 4*c*p | {
"pile_set_name": "DM Mathematics"
} |
(h(q)).
134*q
Let l(c) = -58204799*c. Let v(t) = -5*t**2. Determine v(l(j)).
-16938993133152005*j**2
Let r = 505 - 503. Let n(y) = 6*y**2 - 8*y**r + 2*y**2 + 4*y**2. Let s(f) = -5*f**2 + 10*f. Calculate s(n(w)).
-80*w**4 + 40*w**2
Suppose -2*g - 4*k - 12 = 0, 2*g - 2*k - 20 = 2*k. Let a(d) be the first derivative of 9 + 4*d**2 - 3*d**g - 1 - 1. Let q(z) = 10*z. What is q(a(s))?
20*s
Let x(v) = 197*v**2. Let s(g) be the second derivative of -g**4/24 - 103*g**2/2 - 5*g - 8. Let h(l) be the first derivative of s(l). Determine x(h(n)).
197*n**2
Let b(l) = -113*l + 284*l + 141*l - 3. Let k be b(1). Let h(x) = -k*x + 309*x - 2*x**2. Let s(v) = -2*v. What is s(h(y))?
4*y**2
Let s(r) = -41*r + 5*r + 6*r + 32*r. Let o(a) be the third derivative of -a**4/24 - 2*a**2. Give s(o(t)).
-2*t
Let w(v) = -107*v. Let q(n) = 164717*n. Give q(w(k)).
-17624719*k
Let s(t) = 7*t. Suppose 0 = 6*q - 203 - 331. Let c(w) = -104*w - q*w + 202*w. Calculate c(s(g)).
63*g
Let w(r) = -r**2 + 6. Let u(y) = -9*y + 287. What is u(w(t))?
9*t**2 + 233
Let m(g) = -2*g. Let w(l) = -4489506*l**2 - 74925*l - 2997. Let b(d) = -5994*d**2 - 100*d - 4. Let v(c) = 2997*b(c) - 4*w(c). What is v(m(z))?
-23976*z**2
Let i(a) = -19*a. Let q(m) = 69729*m. Give i(q(v)).
-1324851*v
Let o(a) be the first derivative of -a**2 + 4. Let s(m) = -2*m. Let d(r) = -12*r. Suppose 50 = -5*i - 5*i. Let b(j) = i*s(j) + d(j). Determine b(o(k)).
4*k
Let x(s) = -s**2. Suppose -4*j = 8, 3*j + j = -5*u + 7. Let w(q) = u*q**2 - q**2 + 19*q**2. Determine x(w(p)).
-441*p**4
Let s(j) = -6*j**2 - 172. Let x(k) = -11*k**2 - 301. Let y(p) = -7*s(p) + 4*x(p). Let t(b) = -2*b**2 + 183. Give y(t(d)).
-8*d**4 + 1464*d**2 - 66978
Let v(a) = 6*a**2 - 5*a. Let m(r) = 5*r + 12 - 3*r - 13. Let b be m(0). Let f(x) = -x**2 + x. Let n(s) = b*v(s) - 5*f(s). Let w(c) = 14*c**2. Give n(w(d)).
-196*d**4
Let x(h) = 344*h**2 + 167. Let k(d) = -86*d**2 - 40. Let s(b) = 25*k(b) + 6*x(b). Let r(f) = 10*f + 10*f + 2*f - 21*f. Give s(r(g)).
-86*g**2 + 2
Let g(a) = -65177*a. Let b(c) = 5460*c. Calculate g(b(s)).
-355866420*s
Let j(v) = v. Let w(t) = 295630376*t. Give w(j(d)).
295630376*d
Let d(o) = -277*o + 1 - 44*o - 1 - 134*o. Let k(u) = -2*u. Calculate k(d(h)).
910*h
Let r(y) = -219876*y. Let o(m) = 3438*m. Give r(o(a)).
-755933688*a
Let m(j) = -2*j**2 - 25*j + 10. Let y(d) = 9*d**2 + 120*d - 48. Let s(n) = 24*m(n) + 5*y(n). Let w(p) = 2*p**2 - 12*p. Give s(w(u)).
-12*u**4 + 144*u**3 - 432*u**2
Let w(p) be the first derivative of 40*p**3/3 - 1. Let o(j) be the third derivative of -j**5/60 - 9485*j**2. Determine o(w(a)).
-1600*a**4
Let w(t) = 2 - 6*t - 2 - t. Let x be (0 + -11 + 0)/1. Let o(n) = -3*n**2 + 6. Let s(l) = 15*l**2 - 33. Let r(h) = x*o(h) - 2*s(h). Give r(w(p)).
147*p**2
Let y(w) = -61807*w - 1. Let u(p) = -1000*p**2. Calculate y(u(l)).
61807000*l**2 - 1
Let l(r) be the second derivative of -2*r**3/3 - 822*r. Let q(p) = 1125*p - 2. Calculate q(l(y)).
-4500*y - 2
Let o(h) be the third derivative of -1/10*h**5 + 0*h + 0*h**4 + 0 + 0*h**3 - 11*h**2. Let b(y) be the second derivative of -y**4/6 - 112*y. What is o(b(k))?
-24*k**4
Let x(s) = 2153*s - 56. Let n(w) = -6*w**2 - w. Determine x(n(q)).
-12918*q**2 - 2153*q - 56
Suppose 0 = m + m. Let p(n) = -7*n + n + m*n. Let t(y) = -8*y**2 - 7*y - 119. Let q(h) = -4*h**2 - 4*h - 68. Let b(d) = 7*q(d) - 4*t(d). Give p(b(s)).
-24*s**2
Let f(u) = 14*u. Let b(s) be the first derivative of s**4/6 - 98*s**2 - 106. Let t(g) be the second derivative of b(g). Give t(f(w)).
56*w
Let c(f) = f**2 - 45. Let m(k) be the first derivative of 4*k**3/3 - 3373. Give m(c(d)).
4*d**4 - 360*d**2 + 8100
Let y(o) = 6*o + 35 + 126 - 36 - 4*o. Let i(s) = 10*s**2. Determine y(i(v)).
20*v**2 + 125
Let d = 1 - -1. Let w(l) = 2*l + 0*l + d*l. Let i(x) = -x**2 + 6*x + 2. Let u(a) = 80*a**2 - 486*a - 162. Let b(k) = -648*i(k) - 8*u(k). Give b(w(m)).
128*m**2
Let s(g) = -5907363*g. Let h(f) = -8*f. Determine s(h(l)).
47258904*l
Let t(z) = -z**2. Suppose 14*v - 19*v = -105. Let x(n) = v*n + 8*n + 0*n + 8*n + n. Determine t(x(b)).
-1444*b**2
Let q(n) = n + 0*n + n. Suppose 2*v + m = 9, -2*m = 3*v - 80 + 67. Let u(i) = 9*i. Let a(o) = -o. Let t(k) = v*u(k) + 54*a(k). Give t(q(x)).
-18*x
Let i(m) be the first derivative of -m**5/60 + m**3/3 - 13*m**2 - 50. Let k(r) be the third derivative of i(r). Let h(x) = 63*x. Determine k(h(p)).
-126*p
Let d(s) = -s + 202. Let z(r) = 116 + 8*r - 67 - 49. Determine z(d(a)).
-8*a + 1616
Let u(t) be the second derivative of 499*t**4/6 - 3674*t. Let h(x) = -3*x**2. Determine u(h(j)).
8982*j**4
Let l(w) = 10428*w**2 + 10489*w**2 - 21212*w**2 + 1 - 1. Let x(z) = -13*z. Determine x(l(v)).
3835*v**2
Let j(f) = 23*f**2. Let d(z) be the second derivative of z**6/120 + z**3/6 + 44*z**2 + z - 13. Let w(s) be the second derivative of d(s). Calculate w(j(o)).
1587*o**4
Let f(j) be the second derivative of 43/6*j**3 + 13*j + j**2 + 0. Let s(u) = u. What is f(s(t))?
43*t + 2
Let c(u) = 16933420*u. Let a(f) = -2*f. Determine a(c(n)).
-33866840*n
Let n(k) = 0*k + 4 - 4 - 2*k. Let a(j) = -285*j + 55. Let z(h) = 715*h - 143. Let g(x) = 13*a(x) + 5*z(x). Give g(n(r)).
260*r
Let p(r) = -205*r**2 + 6*r - 2. Let a(o) = -2975*o. Determine a(p(l)).
609875*l**2 - 17850*l + 5950
Let h(v) = -73*v + 34*v + 42*v. Let i(k) = -3*k**2 - 346. What is i(h(p))?
-27*p**2 - 346
Let x(y) = 223*y**2. Let c(v) be the second derivative of v**4/6 - 1949*v. Give x(c(j)).
892*j**4
Let g(m) = m**2. Let n(q) = -q**2 + 7*q - 4. Let z be n(5). Let x(v) = 167*v - 165. Let f be x(1). Let y(b) = 11*b**2 - 2*b**f + z*b**2. Calculate g(y(h)).
225*h**4
Let a(p) = -p**2 + 6. Suppose 205 = 95*k - 90*k. Let u(n) = -20*n - 20*n + k*n. Calculate a(u(l)).
-l**2 + 6
Let x(z) = 9065*z. Let i(y) = -y - 33. Let r(b) = -11*b - 330. Let p(l) = 10*i(l) - r(l). Give x(p(g)).
9065*g
Let w(i) = i. Let n(y) = -37946095*y**2. Give w(n(o)).
-37946095*o**2
Let k(w) = 664*w**2. Let z(r) = 6*r + 65. Let i(s) = -8*s - 78. Let p(d) = 5*i(d) + 6*z(d). Give k(p(l)).
10624*l**2
Let j(f) = 18237540*f**2. Let h(q) = 5*q**2. What is j(h(n))?
455938500*n**4
Let o(v) = -46*v**2. Let d(i) = 218280*i. What is o(d(u))?
-2191723286400*u**2
Let y(q) = -q. Let x(k) = -27*k - 135*k**2 - 12*k + 64*k - 26*k - 3293*k**2. Give x(y(l)).
-3428*l**2 + l
Let p = 6605 - 6579. Let y(i) be the third derivative of p*i**2 + 0*i**4 + 0*i - 1/30*i**5 + 0*i**3 + 0. Let o(w) = 23*w. Give o(y(j)).
-46*j**2
Let b(i) = -8945821*i. Let x(m) = 3*m. Calculate b(x(n)).
-26837463*n
Let f(d) = -188*d**2. Let g(a) = 135491*a**2. Determine g(f(z)).
4788793904*z**4
Let h = -153 - -155. Let y(d) = -18*d + 25*d - 7*d + d**h. Let u(b) be the third derivative of 5*b**4/8 + b**2. Give y(u(g)).
225*g**2
Let o(r) = -8591334*r**2 + 36138*r + 72276. Let t(y) = 951*y**2 - 4*y - 8. Let s(d) = -2*o(d) - 18069*t(d). Let j(z) = 2*z**2. What is s(j(n))?
-3804*n**4
Let j(k) = 30*k - 9. Let r(f) = 8 - 24*f - f + 2*f - 6*f. Let z(n) = -6*j(n) - 7*r(n). Let l(y) be the second derivative of y**3/3 + 96*y. Give z(l(c)).
46*c - 2
Let s(f) = -f + 1. Let u(j) = -j - 5. Let q(m) = -6*s(m) + 3*u(m). Let o(k) be the first derivative of -2*k**3/3 + 1055. Calculate o(q(i)).
-18*i**2 + 252*i - 882
Let t(g) = -5*g. Let p(k) = 2466526*k**2. Determine p(t(u)).
61663150*u**2
Let k(s) = -737*s. Let t(x) = -4*x**2 - 50. Let u(h) = h**2 + 15. Let c(m) = 3*t(m) + 10*u(m). Calculate k(c(j)).
1474*j**2
Let t be (5 - 3)*3/2*1. Let x(f) = -9*f + 2*f + t*f. Let z(h) = 11*h**2 + 13. Let y(r) = -5*r**2 - 6. Let q(n) = -13*y(n) - 6*z(n). Determine x(q(m)).
4*m**2
Let q(c) = -22119259*c**2. Let x(h) = -2*h**2. Determine q(x(i)).
-88477036*i**4
Let f(x) = 14*x - 9*x - 3*x - 3*x. Let o(b) = 2*b + 19. Let t be o(-5). Let z(d) = 14 - 5 - t + 36*d**2. Determine z(f(c)).
36*c**2
Let j(v) be the second derivative of 43*v**3/6 + v**2 - 45*v + 1. Let k(m) = 303*m + 15. Let r(s) = -15*j(s) + 2*k(s). Let w(g) = g**2. Calculate w(r(d)).
1521*d**2
Let m(j) = -5*j. Let r(k) = -16*k**2 - 1 - 10 + 36*k + 31 - 29. Let n(i) = -4*i**2 + 8*i - 2. Let d(u) = -9*n(u) + 2*r(u). What is d(m(p))?
100*p**2
Let z(h) = -62*h + 9. Let x(b) = -41*b + 6. Let s(c) = 3*x(c) - 2*z(c). Let o(p) = 5761*p - 2. What is o(s(n))?
5761*n - 2
Let h(b) = 22*b - 50*b - 10 + 30*b. Let u(p) = -p + | {
"pile_set_name": "DM Mathematics"
} |
ulate the smallest common multiple of p and d.
357
Let g be (-2 - (-310)/144)/(28/213996). Let m = -8144/7 + g. Calculate the common denominator of m and (-74)/66*(-9)/(-2).
264
Let g(n) = 40 - n - 2*n + 6*n - 12. Calculate the smallest common multiple of 16 and g(2).
272
Suppose 0 = 3*i + i - 3*p - 372, -5*i - 4*p + 465 = 0. Let v = 250 + -247. What is the smallest common multiple of i and v?
93
Suppose 25 + 20 = -9*r. Calculate the lowest common multiple of 5/(10 + r)*8 and 6.
24
Suppose 0 = -5*t + 20, 26 = a + 4*t - 0. Calculate the common denominator of 222/(-42) - -5 - (-526)/(-1148) and ((-36)/a)/(64/(-880)).
82
Suppose 239*d = -101*d + 69*d + 631701. Calculate the least common multiple of 2331 and d.
2331
Suppose o - 165 = 4*t, -280 = -2*o - 3*t + t. Suppose -5356*u + 5365*u = -90. Calculate the least common multiple of 16 and 1 + (-312)/u + (-29)/o.
32
Let c = -1864617577/690056 - -1/86257. Let a = c - -2708. Calculate the common denominator of a and -85/192.
192
Let m = -27 + 15. Let r(g) = g + 24. What is the least common multiple of (50/(-30))/(10/(-36)) and r(m)?
12
Calculate the common denominator of (1 + 5/(-3))*16/((-1920)/1635) and -125/3804.
3804
Suppose 3*c = 2*y - 16, 4*y - c - 32 = -0*y. Let o be 102475/27500 + 2/y. Let f = o + 19/275. What is the common denominator of f and -73/20?
220
Let w be 2/7 + 180/(-42). What is the lowest common multiple of (28/8)/((-7)/(-14)) and (w/(-6))/((-35)/(-21) + -1)?
7
Let l(v) = -21*v + 25 + 12*v + 6*v. Calculate the least common multiple of l(7) and 40.
40
Let v be 2/(-2 - 0) + -28. What is the lowest common multiple of v/(-2) + (-1)/2 and (-16)/32 - -10*(-6)/(-8)?
14
Let m(b) = 10*b - 42. Let z be m(3). Find the common denominator of 61/8 and 1/((-44)/30) + (-18)/z.
88
Suppose 0 = 6*m + 4*m - 3*m. Let z(o) = -12*o + 2. What is the lowest common multiple of 30 and z(m)?
30
Calculate the lowest common multiple of 54/(-2 - ((-2268)/282 + 6)) and 138.
58374
Let u = -12749 + 18017. What is the lowest common multiple of 15 and u?
26340
What is the least common multiple of 3*(9 + (-110)/15) and (-3)/24 + (-1250)/(-16)?
390
Let y = 48143 + -25178810/523. Calculate the common denominator of y and 149/6.
3138
Let n be ((-2)/(-18))/((52/(-10968))/(-13)). Let y = n + -3869/12. Find the common denominator of 31/10 and y.
20
Let k = 3369 + -6759/2. Find the common denominator of k and 119/7920.
7920
Let s = 7/41 + -659/738. Let x = -779439/20 + 38972. Find the common denominator of s and x.
180
Suppose n + 5*z = 1002, 3*z + 44 = -5*n + 4856. What is the least common multiple of 174 and n?
1914
Let m = -16 + 22. Calculate the common denominator of -3 + 2 + 55/(-30) and (-4)/m*(-312)/(-160).
30
Suppose 5*o - 7 - 3 = 0. Suppose 34*y + 3*r = 35*y - 29, -r - 23 = -y. Calculate the lowest common multiple of o and y.
20
Let m(z) = 2*z**3 - 41*z**2 - 48*z + 3. What is the smallest common multiple of m(22) and 21?
399
Let b = 48 + -44. Suppose -b*p = p - 480. Calculate the lowest common multiple of p and 9.
288
Suppose -4*u + 2*k + 222 = 0, u = k - 3*k + 68. Let t = 51 - u. Let g = 21 + t. What is the lowest common multiple of g and 8?
56
Find the common denominator of (-10)/65 + 1159/(-156) + 3 and 42/(-24) - 2/(-5).
60
Let r(s) = -20*s + 2924. What is the lowest common multiple of 148 and r(135)?
8288
Let m(d) = 1366*d. Let q be m(-1). Suppose 0 = 147*s - 153*s + 24. Find the common denominator of -113/12 and q/(-1044) + (-1)/(18/s).
348
Let p be 548/(-20) - (-3)/(-5). Let c be 3420/(-7931) - 12/p. Let g = c + 69131/6798. Find the common denominator of g and 23/33.
66
Let x be (132/24 - (4 + 1))*-606. Let k = -291 - x. What is the least common multiple of 33 and k?
132
What is the common denominator of 660/250*(9 - -1)/(6/(-2)) and 44/75?
75
Suppose -28*i = -93*i - 42*i + 21935. What is the least common multiple of 1066 and i?
5330
Let s = -21409/8 - -2683. Suppose -20 = -78*b + 79*b. What is the common denominator of 2 + (15/20 - 99/b) and s?
40
Let j = -169 - -167. Calculate the lowest common multiple of 2 and (-3)/(3/j) - (2 + -2).
2
Let j = -282111593/804 + 350885. What is the common denominator of -79/28 and j?
5628
Suppose 5*v + 3*c = 7, -1 = 3*c - 2*c. Suppose 27*z - 104 - 490 = 0. What is the least common multiple of z and (-8)/16 - (-13)/v?
66
Calculate the common denominator of (((-4)/(-300))/((-102)/(-18105)))/((-400)/6) and 47/4.
2000
Calculate the common denominator of 30 and (-4 + (-36615)/(-9155))*(-45)/3.
1831
Let d = -941979/40 + 23552. Find the common denominator of -38/5 and d.
40
Let r = 183 + -169. What is the smallest common multiple of r and 616?
616
Let m(b) = -b + 9. Let p(g) = g - 8. Let j(y) = -2*m(y) - 3*p(y). Let z(h) = 706*h - 9156. What is the lowest common multiple of z(13) and j(-8)?
154
Suppose -2*x + 2*o - 9010 = 0, 2*x = -4*o + o - 9035. Let t = x + 2929. Find the common denominator of t/210 - (-6)/(-15) and 125/18.
126
Let n = -1623/14 - -117. What is the common denominator of -53/1650 and n?
11550
Let n be (-91)/(-14) + -7 - 162/(-4). Let f be (10/n)/(-1 + 108). Let o = f - -24821/1284. Find the common denominator of o and -47/81.
81
Let l(v) = v**2 - v + 6. Let h be l(3). Find the common denominator of (1022/h)/(-7)*-1 and -20 + 23 + (-2 - (-162)/(-32)).
48
Let z = -2/393 - 649/1179. What is the common denominator of z and (-3)/11*(9 + (-232)/72)?
99
Suppose -69 = 16*o - 3237. Calculate the lowest common multiple of 1188 and o.
1188
Suppose i - 4*i + 4*i = 0. Let s be (i - 1)*-4 + 0/(-4). Suppose s*n + 5 = 41. Calculate the least common multiple of n and 6.
18
Find the common denominator of 899/(-1827)*(-3)/77 and -1/693.
4851
Let j = -331247/58 - -5711. Calculate the common denominator of 45/46 and j.
1334
What is the lowest common multiple of 21 and 1044/406*(-147)/(-6)?
63
Let m(t) = 1. Let i(u) = -3*u - 34. Let j(o) = i(o) + 4*m(o). Suppose -p - b = -9, 3*p - 8*p - 4*b + 45 = 0. What is the lowest common multiple of j(-11) and p?
9
Let m = -17968/424457 - 2/9031. Find the common denominator of m and 107/6.
282
Let b(o) = 11*o**2 + o + 1. Let g = -339 - -349. Suppose -g*c + 9*c = -1. What is the lowest common multiple of b(-1) and c?
11
What is the lowest common multiple of 375 and ((-14)/252*-6)/(-2 + (-4503)/(-2250))?
750
Let k(u) = u**2 - 5*u - 12. Let b be k(-2). Suppose b*t = 7 - 3. Calculate the lowest common multiple of t and 123.
246
Let u = -1463 + 399. Calculate the common denominator of (-4)/10 + -5 + u/(-180) and -77/18.
90
Suppose 2*v - 84 = -4*m, v - 233 = -3*m - 173. Let d = 250 + -151. What is the least common multiple of d and m?
198
Suppose -22 - 8 = -3*a. Let w = 298 - 280. What is the lowest common multiple of a and w?
90
Let h = -6241 - -10779. What is the common denominator of 8/(53088/h) + (-6)/14 and 65/14?
3318
Let d = -2/2652671 + 55735217/38630847773. What is the common denominator of d and -9/5?
72815
Let k be (2 - 308673) + (-5 - (4 + -8)). Let x = -182116437/590 - k. What is the common denominator of -97/16 and x?
4720
Let y = 3562 + -81910/23. Let v = 36691 - 47918449/1306. Let g = v - 41133/2612. Calculate the common denominator of g and y.
92
Calculate the least common multiple of 13398/28 - 12/(-8) and 3.
480
Let a(y) = -41 + 53 - 69*y**2 + 11*y - y**3 + 74*y**2. Suppose 2*r - 46 = 20. What is the smallest common multiple of a(-2) and r?
198
Suppose -b - 4*b + 5*i + 105 = 0, i + 41 = 2*b. Let o(a) = -a**3 + a**2 + 5*a - 69. Let t be o(0). Let d = t + 83. What is the least common multiple of b and d?
140
Let w be (-30*(-5)/(-40))/(4/32). What is the common denominator of -43/27 and (-65)/(-15)*w/162?
81
Let z = 80 + -152. What is the common denominator of (-126 - 1)*12/z and (-10)/80*9*2?
12
Let f = -2603921/21 - -123965. Let m = f + 27731/840. What is the common denominator of -1/2 and m?
40
Let h(d) = d**3 - 5*d**2 - 42*d - 2. Let v be h(-5). Find the common denominator of -69/4 and v/(-147) - -2*(-163)/896.
64
Let y = 200542/3 + -65830. Let s = y - 18371/18. What is the common denominator of (109/(-18))/1*-1 and s?
18
Let x = -1843521 + 6172108187/3348. Calculate the common denominator of x and 79/465.
16740
Let v(d) = -d + 2*d**3 - 4*d + 13*d + 6 + 11*d**2 - 3*d. What is the lowest common multiple of 4 and v(-5)?
12
Let j(l) | {
"pile_set_name": "DM Mathematics"
} |
e
Is 253703 a prime number?
True
Is 5971 a composite number?
True
Is 389219 composite?
False
Is 62459 a composite number?
False
Is 95813 a composite number?
False
Is 2149 a prime number?
False
Is 56299 prime?
True
Is 208061 a prime number?
False
Is 541 a prime number?
True
Is 60563 prime?
False
Is 27299 prime?
True
Is 47363 prime?
True
Is 3761 a prime number?
True
Is 315411 a prime number?
False
Is 77951 composite?
False
Is 39707 a prime number?
False
Is 3909755 a composite number?
True
Is 11369 a composite number?
False
Is 520099 a prime number?
False
Is 199607 composite?
True
Is 317887 prime?
True
Is 172394 a composite number?
True
Is 449 a composite number?
False
Is 63197 a composite number?
False
Is 1361017 a composite number?
True
Is 30617 a prime number?
False
Is 14957 a composite number?
False
Is 1170689 a prime number?
False
Is 28511 a composite number?
True
Is 83543 prime?
False
Is 101009 a prime number?
True
Is 79603 a composite number?
True
Is 1007 a prime number?
False
Is 37735 composite?
True
Is 4729 composite?
False
Is 1515857 a prime number?
False
Is 517 prime?
False
Is 1801 a prime number?
True
Is 8147 a prime number?
True
Is 136009 prime?
False
Is 122099 a prime number?
True
Is 12301 prime?
True
Is 2161 a composite number?
False
Is 92507 composite?
False
Is 49019 a prime number?
True
Is 8651 prime?
False
Is 437027 composite?
True
Is 35521 a composite number?
False
Is 26405 composite?
True
Is 7901 a composite number?
False
Is 14023 a composite number?
True
Is 4831 prime?
True
Is 3449 composite?
False
Is 346639 a composite number?
False
Is 7901 composite?
False
Is 7201 a prime number?
False
Is 12197 prime?
True
Is 618739 composite?
True
Is 3352957 composite?
False
Is 2503 prime?
True
Is 58817 prime?
False
Is 28738 a composite number?
True
Is 54973 a composite number?
False
Is 276841 composite?
True
Is 1154199 prime?
False
Is 3631 composite?
False
Is 1769281 a composite number?
False
Is 1305637 a composite number?
False
Is 39133 prime?
True
Is 97141 composite?
True
Is 116131 composite?
False
Is 2498971 composite?
False
Is 602753 a composite number?
False
Is 1022167 prime?
True
Is 716327 a prime number?
False
Is 15343 prime?
False
Is 7393 composite?
False
Is 809 composite?
False
Is 2076791 a prime number?
True
Is 30283 a prime number?
False
Is 245963 prime?
True
Is 686197 a composite number?
False
Is 38113 a prime number?
True
Is 145994 prime?
False
Is 21283 a composite number?
False
Is 18743 a prime number?
True
Is 403099 prime?
False
Is 785383 a composite number?
True
Is 6117 a prime number?
False
Is 189841 prime?
False
Is 50741 prime?
True
Is 1744007 a prime number?
True
Is 17201 a prime number?
False
Is 24657 composite?
True
Is 153607 a composite number?
False
Is 8641 a composite number?
False
Is 274441 composite?
False
Is 2309 prime?
True
Is 37753 composite?
True
Is 12895 a composite number?
True
Is 265079 prime?
True
Is 33997 prime?
True
Is 7981 a prime number?
False
Is 156481 a composite number?
True
Is 18623 a prime number?
False
Is 19529 prime?
False
Is 3949 a composite number?
True
Is 5731 composite?
True
Is 153247 composite?
False
Is 64982 composite?
True
Is 16049 composite?
True
Is 1477 a composite number?
True
Is 1739 a prime number?
False
Is 63741 a composite number?
True
Is 279691 a prime number?
False
Is 61441 a composite number?
False
Is 28261 prime?
False
Is 30059 a composite number?
False
Is 118029 prime?
False
Is 49561 a composite number?
True
Is 1039 a composite number?
False
Is 11027 a prime number?
True
Is 14179 prime?
False
Is 248573 a composite number?
True
Is 5167587 composite?
True
Is 3459029 prime?
False
Is 46073 a prime number?
True
Is 1963187 composite?
False
Is 126199 composite?
False
Is 40519 a prime number?
True
Is 277477 a prime number?
False
Is 34057 prime?
True
Is 5328217 a composite number?
False
Is 1177493 a prime number?
False
Is 15031 prime?
True
Is 670471 a prime number?
True
Is 294629 a composite number?
False
Is 56299 a composite number?
False
Is 4258 a composite number?
True
Is 162209 a composite number?
False
Is 11177 a composite number?
False
Is 81709 composite?
True
Is 14583 a composite number?
True
Is 278387 a composite number?
False
Is 10237 composite?
True
Is 29917 composite?
False
Is 282757 a composite number?
True
Is 632959 prime?
False
Is 8677 composite?
False
Is 1116809 a prime number?
True
Is 99967 a composite number?
True
Is 18155 prime?
False
Is 160967 a composite number?
False
Is 67047 prime?
False
Is 1906 a composite number?
True
Is 1873331 composite?
True
Is 83531 a prime number?
False
Is 91909 a composite number?
False
Is 750377 a composite number?
True
Is 13231 composite?
True
Is 1181 a composite number?
False
Is 21 prime?
False
Is 19347 prime?
False
Is 102013 composite?
False
Is 929 a composite number?
False
Is 46753 prime?
False
Is 12661 prime?
False
Is 199559 prime?
True
Is 39099 a prime number?
False
Is 84809 a composite number?
False
Is 177091 a composite number?
False
Is 9521 composite?
False
Is 39523 a prime number?
False
Is 38897 composite?
True
Is 2897 composite?
False
Is 81749 a prime number?
True
Is 381 composite?
True
Is 51411 composite?
True
Is 13885 prime?
False
Is 1889 a composite number?
False
Is 3643 prime?
True
Is 958 composite?
True
Is 24554 a prime number?
False
Is 56263 composite?
False
Is 8549 a prime number?
False
Is 9763 a composite number?
True
Is 1244729 a prime number?
True
Is 87773 composite?
True
Is 2025689 a composite number?
False
Is 10259 a composite number?
False
Is 102359 a composite number?
False
Is 1119947 a composite number?
False
Is 56891 a composite number?
False
Is 78341 a composite number?
False
Is 27791 composite?
False
Is 5601 a composite number?
True
Is 385967 a composite number?
False
Is 4201 a prime number?
True
Is 59141 prime?
True
Is 28277 a composite number?
False
Is 124633 a prime number?
True
Is 56237 a prime number?
True
Is 10441 prime?
False
Is 824155 prime?
False
Is 4467 a prime number?
False
Is 105217 a composite number?
True
Is 59431 a composite number?
True
Is 21433 a prime number?
True
Is 8609 a prime number?
True
Is 965629 a composite number?
True
Is 42511 a composite number?
True
Is 3433 a composite number?
False
Is 26311 composite?
True
Is 117677 composite?
True
Is 439273 composite?
False
Is 8651 prime?
False
Is 5914 a prime number?
False
Is 35771 a prime number?
True
Is 91209 a composite number?
True
Is 488731 prime?
False
Is 689551 a composite number?
False
Is 6007 a composite number?
False
Is 249943 a prime number?
True
Is 8561 composite?
True
Is 139423 prime?
True
Is 290698 a composite number?
True
Is 7373 a prime number?
False
Is 47327 prime?
False
Is 239929 a composite number?
False
Is 2210881 composite?
False
Is 3557 prime?
True
Is 6769 composite?
True
Is 111845 a composite number?
True
Is 274579 prime?
True
Is 53453 prime?
True
Is 65867 composite?
False
Is 2985365 prime?
False
Is 399353 a composite number?
False
Is 830729 prime?
True
Is 70823 composite?
False
Is 1877609 composite?
False
Is 8674 a prime number?
False
Is 105583 prime?
False
Is 1511 a composite number?
False
Is 213677 a composite number?
True
Is 6353 prime?
True
Is 995003 prime?
False
Is 55163 a composite number?
False
Is 403181 a prime number?
True
Is 735133 composite?
True
Is 45641 prime?
True
Is 147481 prime?
True
Is 26309 a prime number?
True
Is 390361 prime?
False
Is 2179 prime?
True
Is 33595 a composite number?
True
Is 458729 prime?
True
Is 154891 prime?
False
Is 482939 a composite number?
True
Is 1635889 a composite number?
False
Is 78823 composite?
False
Is 8939 prime?
False
Is 19297 a prime number?
False
Is 49081 a prime number?
True
Is 33541 composite?
True
Is 8419 prime?
True
Is 6295 composite?
True
Is 4429 a composite number?
True
Is 5667 composite?
True
Is 981227 a composite number?
True
Is 630659 a prime number?
True
Is 15907 composite?
False
Is 195677 composite?
False
Is 694 a prime number?
False
Is 92581 a composite number?
False
Is 64979 prime?
False
Is 391243 a composite number?
True
Is 422 composite?
True
Is 124841 a composite number?
True
Is 4645 prime?
False
Is 37781 a composite number?
False
Is 641279 a prime number?
True
Is 48641 a composite number?
True
Is 33109 a composite number?
True
Is 268091 prime?
True
I | {
"pile_set_name": "DM Mathematics"
} |
c*n*t**2 + 2*n*t**3 wrt c.
6*c*n + 18*c - 6*n + 4*t**3
What is the derivative of 17*i**3 + 28*i + 11270?
51*i**2 + 28
What is the second derivative of -507*h**3*r**2 - h**2*r**3 + 170*h*r + r**3 - 2*r**2 wrt h?
-3042*h*r**2 - 2*r**3
What is the third derivative of -307*g**3*x**3 + 38*g**3 - 2*x**2 + x wrt x?
-1842*g**3
What is the third derivative of -843*r**4 - 3*r**3 + 4*r**2 + 2*r + 323 wrt r?
-20232*r - 18
What is the second derivative of 7*f**2*v**3 - 1152*f**2 + 33*v**3 + 2*v wrt v?
42*f**2*v + 198*v
What is the third derivative of 247*w**6 + 59*w**2 - 3 wrt w?
29640*w**3
Find the first derivative of 3*h**3*i*v**3 + 103*h**3*i*v - 3*h**3*v**3 - 7*h**3*v**2 - h**3 wrt i.
3*h**3*v**3 + 103*h**3*v
What is the second derivative of -92*b**3*s**2 - b**3*s + 4*b**2*s**2 + 2*b*s**2 + b*s + 29*s - 6 wrt s?
-184*b**3 + 8*b**2 + 4*b
What is the derivative of 90*k + 773 wrt k?
90
Differentiate 1006*d*h*m**3 + 548*d*m**3 + d*m**2 - h*m**3 wrt h.
1006*d*m**3 - m**3
What is the third derivative of -5*h**3*n**3*z + 210*h**3*n*z + h**2*n**3 - 3*h**2*n**2*z + 2*h**2*z - 83*n wrt h?
-30*n**3*z + 1260*n*z
Differentiate 96*c**4 + 55.
384*c**3
What is the first derivative of -24703*w - 9644 wrt w?
-24703
What is the third derivative of 3928*z**6 + 163*z**2 - 3*z wrt z?
471360*z**3
What is the derivative of -53*t**4 + 78*t + 6776 wrt t?
-212*t**3 + 78
What is the third derivative of -463*g**3*v**3 - 4*g**2*v + 13*v**3 wrt g?
-2778*v**3
Find the third derivative of -1640*c**5 - 1610*c**2.
-98400*c**2
Find the second derivative of 9*j**5*u**3 + j**5 + 4*j*u**3 - 12*j*u + j wrt j.
180*j**3*u**3 + 20*j**3
Find the second derivative of 702*v**5 - 5*v**4 + 210*v - 19.
14040*v**3 - 60*v**2
Find the third derivative of 5466*w**3 - w**2 - 170*w + 3.
32796
Find the first derivative of -100*h**3*o**4 - h**3 - 4*h**2*o**4 + 444 wrt o.
-400*h**3*o**3 - 16*h**2*o**3
Find the second derivative of -a**3*l**2 - a**3 - 30*a**2*l**2 + 70*a**2*l wrt l.
-2*a**3 - 60*a**2
Find the first derivative of -60*c**2*d - 5*c**2*r + 2*c*d - d*r - 16*d - r wrt c.
-120*c*d - 10*c*r + 2*d
What is the third derivative of -1055*l**3 + 7667*l**2?
-6330
What is the derivative of -2*d**2*o + 52*d**2 + 9*o wrt o?
-2*d**2 + 9
Find the third derivative of -226*f**6 + f**4 + 649*f**2.
-27120*f**3 + 24*f
Differentiate 1985*h - 2291 with respect to h.
1985
What is the third derivative of 15125*z**3 + z**2 - 3*z + 175 wrt z?
90750
Find the third derivative of 45*u**4*w + 41*u**3*w**3 - 2*u**2*w**3 + 7*u**2*w**2 - 3*u**2 wrt u.
1080*u*w + 246*w**3
What is the second derivative of 668*v**2 + 240*v + 2?
1336
Find the second derivative of -126*i**5*k**2 + i**2*k**3 + i*k**2 - 51*k**3 + k wrt i.
-2520*i**3*k**2 + 2*k**3
Find the second derivative of 14598*l**5 + 10434*l.
291960*l**3
What is the second derivative of -2759*b**4 - 4481*b?
-33108*b**2
What is the third derivative of r**3*t**2 + r**3*t*v - 5*r**3*v - 87*r**2 - 9*r*t**2*v + 2*t**2*v wrt r?
6*t**2 + 6*t*v - 30*v
Find the third derivative of 12*f*u**6 - f*u**5 - 2*f*u**2 + 13*f + u**3 wrt u.
1440*f*u**3 - 60*f*u**2 + 6
What is the first derivative of -3*a*x**3 + 7*a*x**2 - 730*x**3 wrt a?
-3*x**3 + 7*x**2
What is the third derivative of 381*k**3 + 26*k**2 + 3*k?
2286
What is the third derivative of -27*q**4 - q**3 - 2*q**2 - 6*q wrt q?
-648*q - 6
What is the second derivative of 10*o**4 - 73*o**3 - o + 60?
120*o**2 - 438*o
Find the second derivative of -5*h**2*u**3 - 178*h**2*u - 2*u**4 - 4*u**3 + 25*u wrt u.
-30*h**2*u - 24*u**2 - 24*u
Find the second derivative of 8*j*n**3*r**2 - j*n**3*r + 5*j*n**3 - 64*j*n**2*r**2 - 6*j*n*r - 10*n**3 wrt r.
16*j*n**3 - 128*j*n**2
What is the third derivative of -263*t**4 + 2*t**3 + 9*t**2 + 2*t + 13?
-6312*t + 12
What is the third derivative of -9*a*o**5 + a*o**3 - 690*a*o**2 + 5*o**5 wrt o?
-540*a*o**2 + 6*a + 300*o**2
What is the second derivative of 2*t*w**2 + t*w - 19*w**2 - 79*w wrt w?
4*t - 38
What is the first derivative of -31*j**2 + j - 180 wrt j?
-62*j + 1
Find the third derivative of -1768*o**3 + 628*o**2 wrt o.
-10608
Differentiate 40*f**2 - 531 wrt f.
80*f
Differentiate -88*r + 232.
-88
Find the second derivative of 2*j**4 + 2*j**2 + j + 74.
24*j**2 + 4
Find the third derivative of -3*f*g*h**3 - 4*f*g*h + 3656*g*h**3 + 13*g*h**2 - 6*g*h wrt h.
-18*f*g + 21936*g
What is the first derivative of -2761*y**4 - 1317 wrt y?
-11044*y**3
What is the third derivative of 611*z**4 + z**2 - 59*z?
14664*z
Find the third derivative of -93*o**4 + 117*o**2.
-2232*o
Find the first derivative of -2*b*l*t**2 - 11*b*t**2 - 2*l*t - 35*t**2 wrt b.
-2*l*t**2 - 11*t**2
What is the first derivative of 27*j**2 - 3*j - 225?
54*j - 3
What is the third derivative of -3*a**6 - 40*a**5 + 2*a**2 + 143?
-360*a**3 - 2400*a**2
What is the derivative of -237*o**4 - 64 wrt o?
-948*o**3
What is the first derivative of 110*h**3 + h*v + 6*h - 1293*v - 1 wrt h?
330*h**2 + v + 6
Find the third derivative of -14*b**4*s**3 + 625*b**3*s + 4329*b**2*s**3 - 2*b*s**3 wrt b.
-336*b*s**3 + 3750*s
Find the first derivative of -5*a**2 + 675*a - 9426.
-10*a + 675
Find the second derivative of j**5*o**3 - 88*j**2*o**3 + j*o**3 - 110*j wrt j.
20*j**3*o**3 - 176*o**3
What is the derivative of 22*a**3 + 14*a*r + 325*r + 1 wrt a?
66*a**2 + 14*r
Find the third derivative of 3*f*h**2 + 11*f*h*w**3 + 5*h**2*w**3 + 5*h**2 - 2*h*w**3 + h*w**2 wrt w.
66*f*h + 30*h**2 - 12*h
What is the first derivative of 5*r*w - 57*r - 3*w - 3 wrt w?
5*r - 3
What is the derivative of -329*o + 479?
-329
What is the third derivative of 77*a**3*b**2 - 5*a**3*b + 4*a**2 + 21*a*b**2 wrt a?
462*b**2 - 30*b
Differentiate -110*t**3*u**2 - 172*t**3 - 4*t**2*u**2 with respect to u.
-220*t**3*u - 8*t**2*u
Find the second derivative of -7653*a**3 - 340*a + 1.
-45918*a
Differentiate -356*t**2*x**4 + 221*t**2 - 2*x**4 - 1 wrt x.
-1424*t**2*x**3 - 8*x**3
What is the first derivative of 6*h*i*q**3 - 2*h*i*q**2 - 9*h*q**3 + 10*i*q - 3*q**3 + 10 wrt h?
6*i*q**3 - 2*i*q**2 - 9*q**3
Find the first derivative of -3*k**2*r**2*s**2 + k**2 + 863*r**4*s + 1726*s**2 wrt r.
-6*k**2*r*s**2 + 3452*r**3*s
What is the third derivative of -3283*j**5 - 7*j**2 - 109 wrt j?
-196980*j**2
What is the derivative of 112*m**3 - 5*m - 6455?
336*m**2 - 5
Find the third derivative of 11709*h**6 - 12183*h**2.
1405080*h**3
What is the derivative of 2*h*p*s*t**2 - 4*h*s*t**2 - 5*h*s + 12*p*s + 5*p*t**2 + 2*s*t**2 wrt h?
2*p*s*t**2 - 4*s*t**2 - 5*s
Find the third derivative of 9148*x**3 + 2*x**2 + 1491*x + 1.
54888
Find the second derivative of 7430*j**4 - 118*j - 2 wrt j.
89160*j**2
Find the first derivative of i**4 + 85*i**2 + 245.
4*i**3 + 170*i
Find the second derivative of 2*g**3*r**4 + 8*g**3*r**3 - 39*g**3*r + 2*r**2 wrt r.
24*g**3*r**2 + 48*g**3*r + 4
Find the second derivative of -18673*n**2 - n + 2141 wrt n.
-37346
What is the third derivative of -k**6*p**2 + 119*k**3*p**2 - k**2*p**2 + 10*p**2 wrt k?
-120*k**3*p**2 + 714*p**2
Find the second derivative of -408*d**4 + 2*d + 293.
-4896*d**2
Differentiate -3*f*v**3*x - 2*f*v**2*x + 8*f*v**2 + 25*f*x + f + v**3 with respect to x.
-3*f*v**3 - 2*f*v**2 + 25*f
What is the second derivative of -3*b**3*z**3 + 83*b**3*z**2 - 2*b**3*z + 16*b*z - 6 wrt z?
-18*b**3*z + 166*b**3
What is the third derivative of 5*b**4*q - 7*b**4 - 2*b**3*q + 20*b**3 - 45*b**2 + 7*q wrt b?
120*b*q - 168*b - 12*q + 120
Find the second derivative of 14457*d**3 - 4045*d - 1.
86742*d
What is the first derivative of -41*m**3*s - 2*m**2*s**2 + 2*m*s + 49*s**2 wrt m?
-123*m**2*s - 4*m*s**2 + 2*s
What is the first derivative of -737*y**4 + 3*y - 7757 wrt y?
-2948*y**3 + 3
Find the first derivative of -2150*g*r**2 - 1117*r**2 wrt g.
-2150*r**2
What is the first derivative of 844*f**4 + 235 wrt f?
3376*f**3
Find the second derivative of -5*d**5 + 8*d**2 - 1350*d.
-100*d**3 + 16
Find the second derivative of 3072*x**2 + 7047*x.
6144
Find the second derivative of 12*j*p**3 + 55*j*p**2 + 7*j*p - 154*p wrt p.
72*j*p + 110*j
What is the second derivative of -15*p**4*q + 35*p**2*q**2 + 234*p*q**2 wrt p?
-180*p**2*q + 70*q**2
What is the first derivative of c**3*k**2*m + 2531*c**3*k**2 + c**2*m - k**2*m - 24*m wrt m?
c**3*k**2 + c**2 - k**2 - 24
What is the first derivative of -362*j*s**2 - 287*j wrt s?
-724*j | {
"pile_set_name": "DM Mathematics"
} |
ue
Suppose -386*z = -389*z + 33. Let y(h) = 3*h**3 - 6*h**2 - 2. Is y(z) prime?
False
Let k(q) = 114*q**3 + 17*q**2 + 226*q - 111. Is k(14) a prime number?
True
Let x(u) = 11*u - 6. Let h be x(1). Is (-78)/130 - (-15818)/h prime?
True
Suppose 5*v = 3*z - 6105, -2*z + v = -4*z + 4057. Let f = z - -1329. Is f prime?
True
Is 30745 - (56/10 + 64/160) a composite number?
True
Suppose 2*g - 949458 = 1201*o - 1207*o, -3*o + 2*g + 474747 = 0. Is o a composite number?
True
Let m(w) = w**3 - 26*w**2 + 27*w - 50. Let k be m(25). Let g(x) = 25*x + 8751. Is g(k) prime?
False
Suppose -4*z - 3*g = 14 - 34, 2*z - g = 0. Suppose -3*n + 5*x = -6, -8*n + z*x = -7*n - 2. Is (-1)/((-3198)/1598 + n) a prime number?
False
Is (0 + -35)*2694448/(-3248) composite?
True
Let g = -3 + 14. Suppose -3*b = g + 1. Is (22/b - -4)*-358 composite?
True
Let g = -6 + 6. Suppose -f - b + 51 = -80, 5*f = 4*b + 673. Suppose g*s = 7*s - f. Is s composite?
False
Let y = 870709 - 545528. Is y composite?
False
Let o(w) = 7*w - 23. Let d be o(4). Suppose 6*z = d*z + 2101. Is z prime?
False
Let c(y) = -13*y - 6. Let m be c(-6). Let s = m - 65. Suppose 859 = j - 5*o, -10 = 2*o - s*o. Is j a prime number?
False
Let x be (1 - 3)*1/(-2). Let k be (-3)/(-5)*(6 - x). Suppose -c = -k*n - 0*n - 100, 4*n - 405 = -5*c. Is c prime?
False
Let y be 10/4*(-13)/(455/(-14)). Is -2 - -641 - ((-14)/y)/7 a prime number?
True
Let j(i) = -81*i**3 - 15*i**2 + 11*i - 39. Let n be j(-8). Suppose n + 33678 = 11*m. Is m a prime number?
True
Let m(c) = -2047*c**3 + 14*c**2 + 10*c + 11. Is m(-2) a prime number?
False
Suppose -47976970 + 142096093 = 357*v. Is v a composite number?
True
Is ((-14 - -204821) + -2)/1 a composite number?
True
Let q(i) be the third derivative of -i**6/120 - i**5/60 + 5*i**4/12 + 7*i**3/6 - 19*i**2. Is q(-6) a composite number?
False
Suppose f + 15 = -2*g, f - 5*g + 4*g + 3 = 0. Let a(s) = -s**2 - 9*s - 4. Let k be a(f). Suppose -9*t = -k*t + 719. Is t a composite number?
False
Suppose -2*v - 13 = -3*v - 2*i, 2*v + 5*i - 31 = 0. Suppose v*n - 116430 = -7*n. Is n composite?
True
Suppose 2*r - 4*d + 16 = 3*r, 0 = -2*d. Suppose 3*t + 21*b = r*b + 1432, 4*t - 1915 = -b. Is t prime?
True
Suppose 5*p + g - 522642 = 0, -4*g + 522607 = 5*p - 8*g. Is p a composite number?
False
Is (3 - ((-4 - -3) + 10)) + 352668/12 composite?
False
Let l = -83208 - -246311. Is l a composite number?
True
Let s = 4014 + 44. Let y = s - -2073. Is y a composite number?
False
Let j(i) = 1025*i - 90. Let k be j(6). Let f = k - -4487. Is f prime?
False
Let m = 10693 - -12042. Is m prime?
False
Let p be (-1)/(-3*5/240). Let k be 2/(-4) - (-1160)/p. Let l = k + 167. Is l a prime number?
True
Let x = 72636 + -49715. Is x a prime number?
True
Let n = -13276 + 28665. Suppose 0 = -u - 10*u + n. Is u prime?
True
Let j(b) = 47*b**2 + 393*b - 869. Is j(90) a composite number?
False
Let p(a) = 12*a**2 - 9*a + 46. Let x = -68 - -75. Is p(x) a composite number?
False
Suppose -2*u - 4*u = 174. Let b = u + 43. Is 4/b + -3 + 9160/35 a composite number?
True
Suppose -4*o = -o - 3*l - 7257, -4*o + l = -9676. Let w be 6/(-3) + (-5 + 2 - -5). Suppose t + o = 3*j + 5*t, w = -j - 2*t + 805. Is j prime?
True
Let s(m) = 140*m - 9. Let w be s(-6). Let y = w + 1821. Suppose -174 + y = 6*t. Is t a prime number?
False
Suppose 37*v + 84 = 43*v. Suppose v*j + 353 = 15*j. Is j a composite number?
False
Let p(n) = -4*n + 275. Let u(h) = h + 2. Let b(z) = -p(z) - 3*u(z). Let x be b(0). Let d = x - -1348. Is d prime?
False
Let k(m) = -m**3 - 8*m**2 - 4*m - 2. Let p be (26/39)/((-4)/(-30)). Let g be -6 - -1 - 20/p. Is k(g) prime?
False
Let u = -23679 + 30484. Is u composite?
True
Let q = -218 + 517. Let c = 801 - q. Is c a prime number?
False
Let n(i) = -12601*i - 17. Let b be n(-3). Is 1/(-1) + b/2 + 3 composite?
True
Let w = -30684 + 78587. Is w a prime number?
True
Is (56 - -579337) + (62/8 - (-9)/36) a composite number?
True
Suppose -46*y + 5650657 = 76*y - 1815377. Is y prime?
False
Suppose 0 = m - 2*p - 13, 76 = 2*m + 2*m - 2*p. Is (m + -4)/(1/7) composite?
True
Let f be 21/8 + (-48)/(-128). Suppose f*j - 1057 = 1604. Is -3 + 3 + j + 0 composite?
False
Let x(f) = 253318*f**2 + 14*f + 3. Is x(-1) a prime number?
True
Let n(f) = 4532*f + 37. Let g be n(6). Suppose -20*b - 2049 = -g. Is b prime?
True
Let l be (-28)/(-2*1) + (0 - 0). Let p(u) = -6 + 2*u**2 + 13*u + 1 - 6. Is p(l) prime?
True
Let o be ((-140)/42*(-99)/(-5))/(-2). Suppose -30*c + o*c = 3369. Is c a composite number?
False
Let d(u) = u**2 + 17*u - 79. Let g be d(4). Suppose 2*f - 20573 = g*k, 11*k - 20583 = -2*f + 6*k. Is f a composite number?
False
Let p(q) = -2 + 0 + 3018*q + 9455*q. Let u be p(-2). Is u/(-16) + 1/(-4) a prime number?
True
Let n be 9/2*((-15)/(-9) - 1). Suppose n*l - 9 = -3. Suppose 2*p - 738 = -2*i, -l*p = p + 2*i - 1111. Is p composite?
False
Let a(i) = 8*i - 20. Let p be a(4). Let m be 4/p + 0 - 481/3. Let h = 453 + m. Is h a composite number?
False
Let u(l) = -l - 2. Let f be u(-2). Suppose 2*n = 120 + 6. Suppose 2*h = 2*w + n - 19, 3*w + 9 = f. Is h a composite number?
False
Let z(h) be the second derivative of h**4/12 + 191*h**3/6 - 3*h**2/2 + 22*h. Let c(f) be the first derivative of z(f). Is c(0) composite?
False
Let t(j) = 54*j - 70. Let d be t(-6). Let x = 237 - d. Is x prime?
True
Let x(g) be the first derivative of 24*g**5/5 + g**4/12 + g**3/2 - 5*g**2/2 - 7*g + 12. Let m(y) be the first derivative of x(y). Is m(3) composite?
True
Let f = 218268 - -325655. Is f composite?
True
Suppose 179107 = 4*u + 3*i - 61965, 4*u + 5*i - 241064 = 0. Is u composite?
False
Let a be (0 + 1 - 2)*-11. Suppose 67 = 2*t - a. Suppose 3*r = 45 - t. Is r prime?
True
Suppose -33*g = 164*g - 19725807. Is g a composite number?
True
Suppose -1097*v - 4*o - 60066 = -1099*v, 4*o = -24. Is v prime?
False
Suppose -17*p - 75880 + 232909 = 0. Suppose -2*l + a = -p, -5*l + a = -10705 - 12395. Is l prime?
True
Suppose -26 = 4*p - 5*u + 13, 5*u + 3 = -3*p. Is p/(-4)*56686/63*3 a composite number?
False
Suppose 0 = -q + 24149 + 26244. Suppose 0 = 15*x + 8*x - q. Is x prime?
False
Suppose -7*o + 25 = -2*o. Suppose 4*q = o*r + 10, -8*r + 5*q = -4*r + 8. Let g(b) = -330*b - 1. Is g(r) prime?
True
Suppose 75*w - 1966349 - 1088476 = 0. Is w a composite number?
True
Let b(y) be the third derivative of 1223*y**4/24 + 3*y**3 + 12*y**2. Let w be b(10). Is 4/(-22) + w/88 a prime number?
True
Let i be (-2)/((-24)/(-3860))*(-36)/12. Suppose -964*h + i*h = 1139. Is h a composite number?
True
Suppose 0 = -4*s - s + 5*u + 58265, 0 = 4*s - u - 46609. Suppose 4*a - s = 5*m - 2*m, 0 = 5*a - 3*m - 14562. Is 2/6*(-8)/((-16)/a) a composite number?
True
Suppose -2*a + a - 5*o - 16 = 0, 0 = 2*o + 8. Let b be (-596)/8 - (-6)/a. Is b/(-1) - 3/(-3*1) composite?
True
Let c = -53 - -56. Is c + -2 - -3 - (5 - 998) composite?
False
Let m be -5 + (-132)/(-28) + (-3257)/(-7). Suppose -3*t - m = -2331. Is t a prime number?
False
Let s(o) = 443*o**3 + 2*o**2 + o - 4. Let a be s(2). Let m = a - -11814. Is (-6)/(-10) + m/10 a prime number?
False
Let m(j) = 36*j**2 - 11*j - 11. Let o be m(-1). Suppose -109895 = -o*q + 5*q. Is q a prime number?
False
Let l(s) = -42*s**2 + 6 - 5 + 10*s + 132*s**2 + 20*s**2. Is l(8) a prime number?
True
Suppose 8161*g - 8131*g + 51960 = 0. Suppose 4*z - 24472 = -4. Let t = g + z. Is t a composite number?
True
Suppose -26521 = -22*f + 149127. Suppose 8*g - 8440 = f. Is g prime?
True
Let j = 41638 - 24861. Let d = j - 11253. Suppose -37*r + 33*r = -d. Is r composite?
False
Let a(m) = m**3 + 17*m**2 + 5*m - 39. Let c(t) = -t**3 + 16*t**2 - 7*t - 25. Let q be c(15). Let o = 81 - q. Is a(o) prime?
True
Let a(h) be the third derivative of 9*h**4/8 - 28*h**3/3 + 202*h**2. Is a(5) a composite number?
False
Let y(g) = g**2 - g - 42. Let a be y(-6). Suppose -2*c = -2 - 8. Suppose a*h + 3*x - 683 = -2*h, -h = -c*x - 309. Is h prime?
False
Let t = 1459379 - 1003752. Is t composite?
False
Suppose -2*z = -2*v - 42, -7*z + 2*z = 2*v - 112. Suppose -z*i = -18*i - 11476. Is i a composite number?
True
Suppose -11*l + 846483 = 46418 - 15486. Is l a prime number?
False
Let m(j) = -31*j - 11. Let d(k) = -30*k - 11. Let a(z) = -2*d(z) + 3*m(z). Let r be a(-3). Let t = 71 + r. Is t prime?
False
Suppose -a = 3, 2*x + 3*x + | {
"pile_set_name": "DM Mathematics"
} |
). Let m be 2/(-6)*w*-3. What is the biggest value in m, k, -0.3?
-0.3
Let n(i) = -i**3 + i - 1. Let b be n(-2). Suppose 3*w + 55 = 8*w. Suppose -w - 14 = b*j. What is the third biggest value in -0.2, 1, j?
j
Let u = -22 + 15. Let h = -7.6 - u. Which is the second smallest value? (a) 4 (b) -5 (c) h
c
Let p = 173 - 1214/7. What is the third smallest value in 5, -0.6, p?
5
Let c be (4/252)/((-1)/5). Let f = -2/9 - c. What is the third smallest value in -1, f, -4/5?
f
Let o be (-11)/55*10/(-14). Which is the second biggest value? (a) 4 (b) 2/63 (c) o
c
Let k = 211/4 + -337/4. Suppose -4*i - 4*m - 143 = m, 2*m = 4*i + 122. Let q = k - i. Which is the third smallest value? (a) -0.3 (b) -1 (c) q
c
Let q = -0.04 - -5.04. Let c = -9 + 9.3. What is the second biggest value in c, q, -0.2?
c
Suppose 4*l + 9 = -11. Let s = -7 - -4. What is the second smallest value in 2/5, s, l?
s
Let x = -126 + 122. Which is the third smallest value? (a) 5 (b) -9/4 (c) x
a
Let h = 2/181 - -348/1267. Let c = -0.2 - -0.1. Let y = c + -0.1. What is the biggest value in y, 1, h?
1
Let y = -2755/16 - -172. Let o = -11/16 - y. Let g = 1.2 + -0.2. What is the third biggest value in -2, g, o?
-2
Let f = -8 - -14. Suppose -5*a - 2*g - 15 = 0, -2*a + f*g + 18 = 2*g. What is the second biggest value in 0, 5, a?
0
Let n = -3 + 2. Let l = -16 - -17. What is the biggest value in l, 1/4, n?
l
Let k be -3 + 0 - 23/(-7). Let l = -0.07 - 0.03. Let q = 0 + l. Which is the smallest value? (a) q (b) k (c) 1
a
Let y = -16/8095 - -2237212/1513765. Let m = -22/17 + y. Which is the second smallest value? (a) 4 (b) m (c) -2
b
Let f = 41.5 - 41.4. Let k = 0.03 - -0.37. Let t = k + -3.4. Which is the third smallest value? (a) 3 (b) t (c) f
a
Let c = -21/8 + 41/8. What is the second biggest value in 0.2, c, -2, -1?
0.2
Let s = 0 - 0. Let g = s + -0.1. Let y = 0.4 + -0.1. What is the smallest value in -0.5, y, g?
-0.5
Let g be 4/5*(-12)/(-16). Let z be 2/(-11) + 3 - 3. Which is the third smallest value? (a) z (b) g (c) -3
b
Let w = -24.6 - -25. What is the second biggest value in 1/5, -1/7, w?
1/5
Let s = 1431/82 - 35/2. Which is the third biggest value? (a) s (b) -2/5 (c) -2
c
Let a = -382/5 + 76. What is the biggest value in 4, 4/7, 0.1, a?
4
Let m = -126 - -507/4. Let t = -66 + 65.9. Let h be (3 - 2)/5*4. What is the smallest value in m, t, h?
t
Let f = -0.5 + 1. Let n = 0.9 + 0.1. What is the third smallest value in n, -3/4, f?
n
Let v = 2/89 - -253/623. Let m be 2/7 - (-18)/378. Let z = 2.15 + -0.15. What is the third biggest value in m, v, z?
m
Let r = 6.6 - 3.9. Let d = r + -2.5. Which is the second smallest value? (a) -1/6 (b) 3/4 (c) d
c
Let z = 12 - 12.8. Let o = z - 2.2. What is the biggest value in o, -0.3, 0.2?
0.2
Let n = 2/17 + 28/51. Let z = -0.6 - 2.4. What is the biggest value in n, -0.1, z?
n
Suppose -p = 4*p - 5*c + 35, -3*c + 13 = -p. What is the third biggest value in 3, 2, p?
p
Let s = 222/3967 + 15951944/59505. Let c = s - 268. What is the third biggest value in c, 5, -0.5?
-0.5
Let r = -0.04 - 0.76. Let l = r - -1. Let z be (-1)/28 - (-3)/(-12). Which is the third biggest value? (a) l (b) 2/9 (c) z
c
Let x = -9.21 - -0.21. Let n = 1.3 + 8.1. Let i = n + x. Which is the third smallest value? (a) -3 (b) i (c) 0.5
c
Let u = 0.05 + 2.95. Let p = 0 - u. Let j = -19 + 22. What is the third biggest value in -4, p, j?
-4
Let r = -37.5 + 37.6. Suppose 3*q = 3*f, 2*q - f + 1 = -2. Let p = q - -7. What is the third biggest value in r, -4, p?
-4
Suppose 0 = 2*r - 7*r - 55. Let i = r - -16. Let j = -2 - -4. Which is the third biggest value? (a) i (b) j (c) -0.5
c
Let d be ((-8)/3)/(4/(-30)). Suppose 4*h = -3*g - g - d, -3 = g. Let s = -10/39 + -155/156. Which is the second biggest value? (a) 0.4 (b) s (c) h
b
Let t be (-7)/22 + 1/2. Let f be 4*5/280*(-7 + 1). Which is the third smallest value? (a) f (b) 1/3 (c) t
b
Let s(z) = 4*z**3 + z**2. Let r be s(-1). Let f = 0.5 + -0.4. Which is the smallest value? (a) 0.5 (b) r (c) f
b
Let t = 5.84 + 0.16. Let i = 6.8 - 1. Let s = i - t. What is the third smallest value in 1, 0, s?
1
Let t = 3.988 - -0.012. What is the third biggest value in -1, 0, t, -1/25?
-1/25
Suppose 10 + 0 = 5*m. Let x = 4.5 - 5. What is the smallest value in -3, x, m?
-3
Let k = 64 + -62. Which is the second smallest value? (a) 4 (b) 1/3 (c) k (d) -0.4
b
Let g = -0.02 - -0.02. What is the smallest value in -3, -4, g?
-4
Let u = 7.065 + -0.065. Which is the third smallest value? (a) -0.2 (b) u (c) -0.1 (d) 0.2
d
Let b be (-1)/(-2) - 417/42. Let p = b - -10. What is the second biggest value in p, -2, 4?
p
Let j = -53.1 - -53. Which is the second smallest value? (a) j (b) 4 (c) 0.54
c
Let k = 989480 - 565978. Let v = k - 5510035/13. Let t = v + 347. Which is the second smallest value? (a) -1/5 (b) 0 (c) t
b
Let t = 0.38 - 0.78. Which is the biggest value? (a) -3/2 (b) -2/7 (c) 6/7 (d) t
c
Let f = -9 - -6. Let l be (2 - (1 - -1))/(-1). Let d be 6/5 - (1 + l). What is the second biggest value in -4, f, d?
f
Let p = 78.2 - 72. Let x = 6 - p. Let k be 0 + -3 + (-3 - -2). What is the second smallest value in k, -2/5, x?
-2/5
Let n be 24/33 - (1 - -1). Let t = n + 111/44. Let w(o) = -o**3 - 5*o**2 + 5*o - 7. Let y be w(-6). What is the third biggest value in y, t, 3?
y
Let m = 1.62 + -0.62. Suppose -2 = -2*c + r, -6 = c - r - 3*r. Suppose -10 = 3*h + c*q, 4*h + 2*q = -0 - 10. What is the biggest value in 2, h, m?
2
Let d = 6.4 - 6.5. What is the smallest value in d, -1/5, -0.4?
-0.4
Let v = -118 + 113. Which is the fourth smallest value? (a) -1 (b) 0.2 (c) v (d) 2
d
Let k be (-4)/(-10) + (-20)/175. Let t be 1/5 + (-155)/25. Let s = -10 - t. What is the second biggest value in k, -3, s?
-3
Suppose 3*v + 14 = 2. Let t be v/(-12) - (-13)/(-21). Let s = 7 + -5. Which is the second biggest value? (a) -3/4 (b) s (c) t
c
Let i = 1.4 + -2.4. Which is the second smallest value? (a) 0.2 (b) i (c) 9
a
Let i = 10 + -10. Let m = 0.5 - i. What is the third smallest value in -0.5, -0.1, m?
m
Let u = 92 - 365/4. What is the second smallest value in u, 0.3, 1/2, -1?
0.3
Suppose -2*w - 2*w - 256 = 0. Let o be 3 + 0 - w/(-20). Let i(j) = j**3 + 2*j**2 - 2*j. Let q be i(-2). What is the biggest value in q, -2, o?
q
Let s = 97 - 681/7. Which is the fourth smallest value? (a) -0.4 (b) -0.5 (c) 4 (d) s
c
Let j = 0.07 + -0.47. Let z = -39/5 + 371/45. Which is the smallest value? (a) j (b) 2/11 (c) z
a
Let q be 1/((-3 - 0)/(-12)). Suppose y + 0 = q. Which is the third smallest value? (a) -0.5 (b) -4 (c) y
c
Let b = -124 + 129. What is the smallest value in 0, -5, b, -2.2?
-5
Let r = 3.3 + -0.3. Let s = r - 3. Let q = 7.1 + -7. Which is the third biggest value? (a) s (b) -0.2 (c) q
b
Let n be 8/(-28) + (-20)/(-21). Which is the second biggest value? (a) n (b) -3 (c) -2/17
c
Let l(x) = x**2 - 3*x + 6. Let p be l(6). Let y be (p/16)/((-27)/(-4)). Which is the third biggest value? (a) y (b) 0.3 (c) -0.3
c
Let w = -5.6 - -3.6. Which is the third smallest value? (a) w (b) 0.1 (c) 1/3
c
Let w be (1 + 1)/42*(5 - 3). Let a = 1172/7 + -168. What is the smallest value in w, a, 0.4?
a
Let t = 0.13 - 3.13. Let s = t - 2. What is the third smallest value in s, -0.2, -0.3?
-0.2
Let m = -0.132 + -0.168. Let z = -1.6 + -0.2. Let i = z + -0.2. Which is the second biggest value? (a) i (b) m (c) 0.4
b
Let k(j) = -j**2 - 2*j. Let i be k(-2). Let y = -0.4 - 0.1. Which is the smallest value? (a) 2/13 (b) y (c) i
b
Let h = -0.07 - -0.13. Let i = h + -0.06. Suppose 0*o = o + 2. Which is the second biggest value? (a) i (b) 5 (c) o
a
Let y = -1372/15249 + 2/663. Which is the second smallest value? (a) 1/4 (b) y (c) -2
b
Let l = 0.29 + -0.49. Let q = 0.06 + 2.44. Let z = q - 2. Which is the third biggest value? (a) l (b) z (c) 1
a
Let q = 0.06 - 0.09. Let o = q + 0.33. Which is the biggest value? (a) -2 (b) o (c) -8
b
Let w(o) = o**3 + 9*o**2. Let l be w(-9). Let g = l + 0. Which is the third biggest value? (a) g (b) 5 (c) -0.4
c
Let l(n) = 2*n + 3. Let g be l(-3). Which is the second biggest value? (a) -4/9 (b) g (c) -2/21
a
Let x(o) = -1 + 2*o + 0 + 11. Let g be x(-7). Let v(l) = l**3 + 4*l**2 - 4. Let h be v | {
"pile_set_name": "DM Mathematics"
} |
-166846.8?
-13/6
What is the second biggest value in 7783, 0.19, -1.23?
0.19
What is the second biggest value in -9.5, -2/13, -848, 2/5, -4?
-2/13
Which is the third biggest value? (a) 36844 (b) -280 (c) -1/5
b
Which is the seventh biggest value? (a) 2 (b) -3 (c) -15/16 (d) 2/7 (e) 0.4 (f) 95 (g) 1/8
b
Which is the second smallest value? (a) -5849 (b) 1/13 (c) 10
b
Which is the third biggest value? (a) -0.1 (b) 251 (c) -0.01425
a
Which is the second smallest value? (a) -9/2 (b) -17 (c) 179 (d) -8 (e) 0 (f) 6 (g) -1
d
What is the fifth smallest value in -304, 4, -15, -12, 3/4?
4
What is the third smallest value in -271, 5.875, 4?
5.875
What is the second smallest value in 0.5, -19.2, -2/9, -5, 0, 24?
-5
Which is the second biggest value? (a) -14768/7 (b) 2 (c) 739
b
What is the second smallest value in 4, -5, -4, -62, -21?
-21
What is the second biggest value in 6580, -2, 0.7, -432?
0.7
Which is the fifth smallest value? (a) 0.1 (b) -1.8 (c) -5.9 (d) 1/2 (e) -1/6
d
What is the fourth biggest value in -7/3, -0.2, 0.5, -2, 0.9, -1/4, 29.8?
-0.2
Which is the sixth smallest value? (a) -1/6 (b) -1/2 (c) 0 (d) 45 (e) 5 (f) 2.29
d
Which is the third biggest value? (a) -3 (b) -7/3 (c) 5 (d) 174.1
b
What is the biggest value in 0.2, 6601, -3/2, -0.3?
6601
What is the third smallest value in -11/5, -26, -3/2, -1.3, -5, -0.036, -2?
-11/5
What is the smallest value in -2, -47792, 1, -2/3, 2/185?
-47792
What is the fifth biggest value in -0.5, 0.5, -2, -19151, 1/9, 0.3, -6?
-2
Which is the third smallest value? (a) -2 (b) -4 (c) -0.4 (d) -3 (e) 5741 (f) 0.3 (g) 4
a
Which is the second smallest value? (a) 0.11 (b) 47/274 (c) -1/4
a
Which is the second smallest value? (a) -26 (b) -54/25 (c) -1/3 (d) -2/5
b
What is the third biggest value in 4, 12, 3/2, -59, 0, -374?
3/2
Which is the fourth smallest value? (a) -1/5 (b) -4/3 (c) -8 (d) 0 (e) 54 (f) 2/9 (g) 0.006
d
What is the second biggest value in 2/15, -57770, -4?
-4
What is the third smallest value in -1, -1/4, 16020, 0, 1, 0.05?
0
What is the biggest value in -1/6, -6, 1759909?
1759909
What is the fourth biggest value in 4127, -57, 0.02, 2.4?
-57
What is the fourth biggest value in 0.4, -2085, -4, -28?
-2085
What is the third biggest value in 2/15, 15, -42.5, 0.04, -1/3?
0.04
What is the biggest value in 904, -5, -9.21, 0.4, 0.5?
904
Which is the fourth biggest value? (a) 21 (b) 1 (c) 0.05 (d) 0.3 (e) -1.5 (f) 4/25
f
Which is the second biggest value? (a) 1347 (b) -3/5 (c) -17
b
Which is the fifth smallest value? (a) 3 (b) -1/107 (c) -0.2 (d) -0.3 (e) -3/25 (f) -2/3 (g) -7.8
e
Which is the sixth biggest value? (a) -5 (b) 0.5 (c) -3/5 (d) -10 (e) -12 (f) 4
e
What is the sixth biggest value in -553, -2, -5, 0.2, -3, -0.3?
-553
Which is the fourth smallest value? (a) 1/11 (b) -3 (c) 0.1 (d) 6059 (e) -0.05 (f) 4
c
What is the biggest value in -1/2, -3/4, -0.2, 0.55387?
0.55387
Which is the third smallest value? (a) -0.0299 (b) -10 (c) 2/17 (d) 8/25 (e) 1
c
What is the second biggest value in -3/4, 1, -406, -2/13, 2, 165?
2
What is the second biggest value in 1.2, 47, 592, -0.3?
47
Which is the second smallest value? (a) -3075.3 (b) 2/9 (c) -3.3
c
Which is the third biggest value? (a) 1/5 (b) -1081 (c) -1.543
b
What is the second biggest value in -373, 0.3, 433, -1, 1?
1
What is the sixth smallest value in -16/9, -3, -1, 0.1, 12/11, -2/13, -5?
0.1
Which is the third smallest value? (a) -4 (b) 4595 (c) 3/8
b
Which is the second smallest value? (a) 41 (b) 0.1 (c) 342.86
a
What is the fifth smallest value in 0.24, -104, -5, -2/5, 23.4?
23.4
What is the second smallest value in 1.51, -203.5, 21?
1.51
Which is the third smallest value? (a) -42 (b) 3 (c) 0.2628
b
Which is the third biggest value? (a) -3/4 (b) 4 (c) 0.18 (d) -419683
a
What is the smallest value in -24, -0.2677, 289?
-24
What is the fourth biggest value in 25, 0.4, -12009, -3, 0?
-3
Which is the second biggest value? (a) 0.4 (b) 25.66 (c) 2/37 (d) -352
a
What is the second smallest value in 0.7123, 0, 4, -9/8?
0
What is the sixth smallest value in -0.1, -1/36, 0, 36, -2/9, 117?
117
What is the smallest value in -1849, 3/13040, -15?
-1849
Which is the fourth biggest value? (a) -2 (b) -4 (c) -1 (d) -0.1 (e) 10 (f) -102184
a
Which is the second smallest value? (a) -1/47 (b) 8/7 (c) 77 (d) -2/3 (e) -1/10
e
Which is the second smallest value? (a) -1/2 (b) 2 (c) -4 (d) 3118 (e) -8 (f) -13
e
What is the smallest value in -0.2, -3177594, -14, -4/5?
-3177594
Which is the third smallest value? (a) -5 (b) 0.4 (c) 0.38 (d) -4 (e) -1/48
e
Which is the second biggest value? (a) 0.5 (b) -90 (c) 4 (d) 0.4 (e) 64/7 (f) 111
e
What is the biggest value in -5, 0.1, 2/7953, -5/3?
0.1
What is the smallest value in -12, -54062, 1/60?
-54062
Which is the third smallest value? (a) -0.4 (b) -1.09 (c) -20 (d) 1/6 (e) -2 (f) -15 (g) 2/11
e
What is the second biggest value in -6, -3008, 0.04?
-6
What is the second smallest value in -0.5, 0, -35426, 20?
-0.5
What is the second biggest value in -11/3, 2/7, -3352.54?
-11/3
Which is the biggest value? (a) 1/7 (b) -1.52 (c) 34065/8 (d) 0.3
c
Which is the smallest value? (a) 25158 (b) 0.3 (c) 10613
b
Which is the second smallest value? (a) -1759 (b) -35/4 (c) 0.7 (d) 2
b
Which is the smallest value? (a) -5152 (b) 42 (c) -4 (d) -7
a
Which is the second biggest value? (a) -1 (b) -55833/17 (c) -1/5 (d) -1/2
d
Which is the fourth biggest value? (a) 2/7 (b) 0.1 (c) -5124 (d) 1525
c
What is the third biggest value in -1/21, -4, -225048?
-225048
What is the second biggest value in 4, -0.03, -23099?
-0.03
What is the second biggest value in 5, -5374/5, -0.4, -0.03, 14/11, -3/7?
14/11
What is the smallest value in -4, -0.2, -114809, -124, -1/9?
-114809
What is the sixth biggest value in -1/4, -9.43, 1/7, -4/27, -81, 2/5?
-81
What is the fourth smallest value in 4, 0.5, -4, 2/4009, -18, 2/17?
2/17
Which is the second smallest value? (a) 112542 (b) -0.1 (c) 67
c
What is the fourth biggest value in -0.1, 2/15, 0.049, -1/4, -9/7, -3, 0?
-0.1
What is the smallest value in -48, -1/4, 43030?
-48
What is the fourth smallest value in 83/4, -12/13, -0.3, -2, -24, 3/7, 0.2?
-0.3
Which is the second smallest value? (a) -228/37 (b) -5/4 (c) -2/7
b
Which is the smallest value? (a) 2.3 (b) -2/11 (c) 77437 (d) 6
b
What is the fourth biggest value in -78, -606, -0.03, 1/4?
-606
What is the second smallest value in 988, 4, 0.3, -0.3, 122.4?
0.3
What is the smallest value in 1/8, -0.2, 32/9, 0.1416127?
-0.2
What is the smallest value in -22733/20, -5, 20?
-22733/20
Which is the biggest value? (a) -11/7 (b) 173 (c) -0.4 (d) 2/5 (e) -1 (f) -3
b
What is the fifth biggest value in 0.2, 25, -5, -69.682, -0.1?
-69.682
Which is the fifth biggest value? (a) -4 (b) -9 (c) -0.4 (d) -1/149 (e) -119/5 (f) 8
b
What is the third biggest value in 0.4, 2787, 5554?
0.4
Which is the fourth smallest value? (a) -70 (b) -9/4 (c) 43 (d) 50
d
What is the second biggest value in -3, -21/131, 3/2, -2076?
-21/131
What is the fourth smallest value in -2.412, 3, -14, -1/4, -20?
-1/4
Which is the smallest value? (a) 939.09 (b) 152 (c) 1
c
What is the third biggest value in 0.0444, 0, 0.9, 0.3, -47, -3?
0.0444
What is the fifth smallest value in -8, -5, 0.2, 0.1, 0.4, 14, -0.3?
0.2
What is the smallest value in -0.4, 1/2, -1.4, 2/9, -27, -11?
-27
What is the sixth biggest value in -1/5, 0.06, -5/113, -2, -0.1, 1/4, 25?
-1/5
Which is the second biggest value? (a) 0.07 (b) -4 (c) 177.5 (d) 2/5 (e) 23 (f) 8
e
What is the second smallest value in -0.4, -7, 1780.876?
-0.4
Which is the second smallest value? (a) 30 (b) 0.5 (c) 0.1 (d) -52 (e) 7 (f) 5 (g) -2/9
g
Which is the sixth smallest value? (a) 126 (b) 306 (c) -5 (d) 1/4 (e) -0.1 (f) 3 (g) 2
a
What is the fifth smallest value in -43, -1, 4, -10, 5, -8/3?
4
Which is the second biggest value? (a) 625 (b) -0.021 (c) -2 (d) -0.4 (e) -3 (f) -0.1 (g) 0.4
g
Which is the second biggest value? (a) -28169 (b) -2632 (c) -1/9
b
Which is the second biggest value? (a) -4224/17 (b) 2 (c) 2.59
b
Which is the third bigges | {
"pile_set_name": "DM Mathematics"
} |
96*y - 100*y + 37656. Suppose -17*j + y + 11309 = 0. Is j a composite number?
True
Suppose -14*d + 203177 = 21471. Is d prime?
True
Let w(p) = -p**2 + p + 2. Let k be w(-2). Let f be k - (-2 + 3)*-7. Is -30*(2/f + -1) composite?
True
Let y(n) = 5227*n**3 + 2*n**2 + 6*n - 9. Is y(2) composite?
True
Let d = -12319 + 18288. Is d a prime number?
False
Suppose 3*l - 4*g - 530 = 0, -4*l + 443 = -g - 268. Let h = l + 145. Is h a prime number?
False
Let t = -8664 - -15381. Is t composite?
True
Let i = 4466 - 2149. Is i composite?
True
Suppose -5*d + 74568 = 4*f, 5*f - 2*d - 21437 = 71740. Is f a composite number?
False
Let h be (-4)/6 + (-12624)/(-9) + -2. Is 4/(-6) + h/30 a prime number?
False
Let w = -13 - -8. Let a = -12 - w. Is (-6)/42 - 848/a a prime number?
False
Let r(g) = g**3 + 17*g**2 - 9*g + 12. Let x be r(-11). Let o = x + -76. Is o prime?
True
Let t = 367 + 52. Is t a composite number?
False
Let m(q) = 6*q**2 - 13*q - 11. Let t be m(17). Suppose -2*r - 2*b = -t, 0 = 5*r + 2*b + 287 - 4048. Is r a prime number?
False
Let t = -36 + 39. Suppose 2*v = -t*v + 480. Let b = 257 - v. Is b a prime number?
False
Let i(r) = 227*r - 268. Is i(21) a composite number?
True
Is 2 + (-2)/(-7) + (-243416)/(-56) prime?
True
Let m = -3977 - -9714. Is m composite?
False
Let x = -47 + 37. Let f(o) = -46*o + 39. Is f(x) composite?
False
Is (3511/(-3))/((-9)/27) prime?
True
Suppose -7*b + 2639 + 12488 = 0. Is b a prime number?
True
Suppose -35*v = -38*v + 23097. Is v a composite number?
False
Let t(k) = 37*k**2 + 3*k + 13. Let w = 40 - 43. Is t(w) a prime number?
True
Let h(r) = -150*r**3 - 3*r**2 + 4*r - 6. Is h(-5) prime?
False
Let j be (-169)/(((-2)/3)/2). Suppose j = 3*q - 5*g + 6*g, 845 = 5*q - 2*g. Is q prime?
False
Let u = -8976 - -14015. Is u a composite number?
False
Let k be (-15 - -3)/(-3) + -2. Suppose 1 = q - k. Suppose q*z + z = 1028. Is z a prime number?
True
Is ((-52)/(-39))/((-8)/(-2274)) prime?
True
Let x(m) = 12*m**3 + 4*m**2 + m + 3. Let o be x(4). Suppose -2*n - 3*n + 2517 = 3*w, o = w + 5*n. Is w composite?
False
Let z(s) = -s**2 + 17*s. Let u be z(7). Is 20517/u + 1/(-10) composite?
False
Let w be (-10)/((-6)/(-9)*-1). Let l = w - 11. Suppose 2*y + 2*k = 110, k = -l*y - 0*k + 220. Is y a composite number?
True
Suppose -3*g + 2*s = 215, -4*g - 3*s - 68 = -3*g. Let l = 517 + g. Is l prime?
False
Suppose 32*a = 19*a + 138749. Is a composite?
True
Let w(c) be the third derivative of -c**6/120 + c**5/12 + c**4/24 + c**3/3 + 8*c**2. Is w(3) prime?
True
Suppose -96018 = -11*c + 29503. Is c a composite number?
False
Let g(n) = 7*n**2 - 4*n + 4. Let v = -11 - -9. Let h(d) = -d**3 + 2*d - 1. Let j be h(v). Is g(j) composite?
True
Suppose -6 - 3 = d. Is 3/d*564/(-4) a prime number?
True
Let p be (-5 - (-60)/(-4))/(4/(-10)). Let j = p - -161. Is j a composite number?
False
Let z be 0*(3 - 20/8). Suppose z = -3*w + 5*f - 51, w + w = -3*f - 15. Is 4042/12 - 2/w prime?
True
Let b(u) be the third derivative of -557*u**4/12 - 14*u**2. Is b(-1) a composite number?
True
Suppose 7468 + 2267 = 15*h. Is h a prime number?
False
Suppose 4 + 1 = 2*y - u, -3*y - 5*u = -14. Suppose -8*o + 28 + 4 = 0. Let w = o + y. Is w a composite number?
False
Let o be (10 + -9)/(2/14624). Is (-2 + -1)/(4*(-12)/o) a prime number?
True
Let k = -2614 - -7691. Is k composite?
False
Let n = -139 + 38. Let z = 318 - n. Is z prime?
True
Let d be (-1 + 2)*(1 + -2)*-3. Suppose -2*i + 412 = -d*p, 839 = 4*i + p + 29. Is i prime?
False
Let p(m) = 4*m**3 - 13*m**2 + 12*m + 61. Is p(14) a prime number?
False
Suppose 10*f = 111 - 321. Is ((-27105)/f - -2) + (-2)/(-7) prime?
False
Let d(n) = n**3 + 9*n**2 + 13*n - 3. Let u be d(-7). Suppose -s + u*s = 447. Is s composite?
False
Suppose 2*k - 46 + 10 = 0. Is (1076/36*3)/(2/k) a prime number?
False
Let t(l) = -231*l**3 - l**2 + 3. Is t(-2) a prime number?
True
Is ((-86685)/(-12))/((-11)/(-44)) a prime number?
False
Suppose 2*r + 3*q - 6098 = q, -5*r = -q - 15215. Suppose x - r - 452 = 0. Suppose -3*k = 5*k - x. Is k composite?
True
Let o(y) = 37*y - 6. Suppose 5*z - 4*c + 18 = 6, -5*z - 5*c + 15 = 0. Suppose -p + 17 = -6*l + 3*l, z = 4*l + 16. Is o(p) prime?
True
Suppose -l + 4*g = -24, -l = 4*g + 8 + 8. Suppose -l = d - 1, -5*d = -3*b + 2124. Is b composite?
True
Let b(u) = -36*u**2 + 5*u + 4. Let l be b(6). Let j(s) = s**2 - 33*s + 121. Let f be j(44). Let d = f - l. Is d prime?
True
Suppose -4615 + 504 = -f. Is f a prime number?
True
Let y be 4 - 1 - 5*(-3)/(-5). Suppose y = -2*k + 148 + 46. Is k a composite number?
False
Suppose 0 = -5*h + 6 + 9. Is 2 + 555/h - -4 prime?
True
Let z(q) = 12*q**2 + 66*q - 57. Is z(21) prime?
False
Let y be (-3)/((-12)/1720)*-2. Let i be 4/4 - y - -3. Let j = 1211 - i. Is j a composite number?
False
Let t = -26 + 22. Let k(z) = 14*z**2 + z + 2. Let x be k(t). Suppose -u + x = u. Is u composite?
True
Let k(r) = -3*r + 31. Is k(-8) a composite number?
True
Let n be (-6333)/(-13) + 4/(-26). Let h(f) = -5*f**2 + 3*f - 4. Let q be h(7). Let l = q + n. Is l composite?
True
Let m(p) = -4*p**3 - 1 + 13*p + 3*p**3 - 7*p + 9*p + 12*p**2. Let x = 26 + -20. Is m(x) composite?
True
Let p(o) = 10*o**2 - 103*o - 88. Is p(37) composite?
False
Suppose 4*x - 1707 - 995 = -5*b, x - b - 671 = 0. Is x prime?
True
Let h(d) = -d**3 + 3*d**2 + 3*d. Let a be h(4). Let c be (2 + 24)*34/a. Let t = 312 + c. Is t a composite number?
True
Suppose 18*d = 166379 + 168727. Is d a prime number?
True
Let a(h) = -h**3 + 4*h**2 + 3*h - 1. Let f be a(5). Is (f - -1872) + (-2)/((-2)/(-3)) prime?
False
Let n be 10/5 + 0/(-1). Suppose n*u - 2*b - 328 = 0, 5*u - 813 = -4*b + 2*b. Is u prime?
True
Suppose -3*c + 10694 = -6925. Is c composite?
True
Suppose -p - 6788 = -6*p - 3*a, 5429 = 4*p + a. Is p prime?
False
Let j = 145868 - 81747. Is j a composite number?
True
Let b = 53 + 326. Is b prime?
True
Suppose 3*m + 3*b + 7 = 55, 3*b = m. Suppose 19*l = 27*l + 25408. Is (-6)/4*l/m composite?
False
Suppose -2*t - 4*q + 1372 = -2278, t + 3*q = 1826. Is t a prime number?
True
Suppose 0 = 1631*t - 1625*t - 54882. Is t a composite number?
True
Suppose 0 = -2*n - 3*n + 10. Suppose n*q = 7*q. Suppose 0*y + 5*y + 143 = 4*a, q = a + 5*y - 42. Is a a composite number?
False
Suppose -5*d - 3*b - 8196 = -8*d, -b = 3*d - 8192. Is d a prime number?
True
Let j = 16 - 109. Let q = -75 - -185. Let r = q - j. Is r a prime number?
False
Let j be -1 + 1*(3 - 3). Let y be 12/24 - j/2. Is (3 - -50)*1/y a prime number?
True
Let b be (17 + -1274)*(-4)/(-3). Let g = b + 4519. Is g prime?
True
Let p = -56 - -61. Suppose 3*c = p*g + 328, -c + 3*g + 218 = c. Is c a composite number?
True
Suppose -9*o - 230 + 3209 = 0. Is o a prime number?
True
Let l = 17 - 17. Suppose -2*g = -l*g + 56. Let d = 50 + g. Is d prime?
False
Suppose 19*j - 42545 = 5582. Is j prime?
False
Is -3 + 5 + 1 - (-15 + -4240) a prime number?
False
Is 157*(-12)/(120/(-710)) prime?
False
Is 3/(-6) + 7083/2 a prime number?
True
Let l(v) = 1052*v**2 - 9*v + 11. Is l(2) a composite number?
False
Is 15867/4 - (-2 - 7/(-4)) prime?
True
Let u = 134546 - 75889. Is u a composite number?
False
Let u(r) be the second derivative of 7*r**5/20 + r**4/12 - 2*r**3 + 5*r**2/2 - 4*r + 3. Is u(6) a composite number?
False
Suppose -i = -p - 2358, 16*p + 5 = 15*p. Is i a prime number?
False
Let h = 9504 + -6719. Is h prime?
False
Let a be (-2)/6 + (-3)/(-9). Suppose a = p - 2. Is 134 - 3*p/6 prime?
False
Suppose -37*j = -36*j + 2, -2*r = 4*j - 2294. Is r a composite number?
False
Let w = 8717 - 5218. Is w a prime number?
True
Let d(v) = 304*v - 14. Let b be d(9). Suppose 0 = 4*p + u - 5472, 0*u - b = -2*p + 3*u. Is p prime?
True
Is 2*(-8)/(-48)*20409 a prime number?
True
Let t(n) = n**3 + 3*n**2 - 2*n + 1. Let g be t(-4). Let a(h) = -h**3 + 14*h**2 + 2*h - 26. Let v be a(14). Let s = v - g. Is s a prime number?
False
Let y = -89 - -91. Let l be -1*1/(-1) - -296. Suppose 0 = y*q - 205 - l. Is q composite?
False
Let v be (1 - -2)*45/(-5). Is -1438*(4 + v/6) a composite number?
False
Suppose 0 = 5*p - 5*j - 5308 - 11957, 10357 = 3*p - 4*j. Suppose h = 3*y - p, 0 = -2*y - 0*h - 3*h + 2296. Is y a composite number?
False
Let o(f) = -f**3 + 5*f**2 + 6*f - 1. Let l = -3 + 9. Let k be o(l). Is (5 - 4)/(k/(-43)) composite?
False
Let k = 11111 | {
"pile_set_name": "DM Mathematics"
} |
*h**2 - 245304*h + 2736864 = 0.
-8772, -13, -3, 2
What is h in -2*h**3/9 + 33266*h**2/9 - 136497526*h/9 - 15276053738/9 = 0?
-109, 8371
Factor -3*y**2 - 1490652612*y - 185170434138535212.
-3*(y + 248442102)**2
Solve -30*x**5 + 1282*x**4/11 - 58*x**3 - 2034*x**2/11 + 1168*x/11 + 952/11 = 0.
-1, -17/33, 7/5, 2
Determine p so that p**4/6 - 2179*p**3/6 + 49247*p**2/6 + 735559*p/6 - 130438 = 0.
-11, 1, 33, 2156
Find l, given that l**4/5 - 145*l**3 + 109337*l**2/5 + 4951877*l/5 - 1012098 = 0.
-37, 1, 291, 470
Determine l, given that -l**4/5 + 363*l**3 - 850998*l**2/5 + 24719104*l/5 - 4773984 = 0.
1, 30, 892
Solve -x**3 + 10794*x**2 - 29899584*x + 4138366496 = 0.
146, 5324
Find h such that -h**3 + 268845*h**2 - 1613043*h + 2419551 = 0.
3, 268839
Determine n, given that -3*n**5 + 44727*n**4 - 166775679*n**3 + 498404613*n**2 + 5663668854*n + 7998798096 = 0.
-3, -2, 8, 7453
Determine m, given that 5*m**4 + 49550*m**3 - 5842980*m**2 + 228469410*m - 2973958065 = 0.
-10027, 39
Find p such that -40*p**5 + 26125*p**4 + 761855*p**3 - 1730040*p**2 + 204300*p = 0.
-30, 0, 1/8, 2, 681
Factor -2*s**3/17 - 4893086*s**2/17 + 24465480*s/17.
-2*s*(s - 5)*(s + 2446548)/17
What is f in 2*f**5 - 8440*f**4 + 392350*f**3 - 367040*f**2 - 767832*f = 0?
-1, 0, 2, 46, 4173
Factor 7*l**2/3 - 109746520*l/3 + 31356148/3.
(l - 15678074)*(7*l - 2)/3
Determine s, given that 2*s**5/17 + 8844*s**4/17 + 10095422*s**3/17 + 696731436*s**2/17 - 2999850424*s/17 - 3686495280/17 = 0.
-2174, -78, -1, 5
Factor 3*l**3 + 14802534*l**2 + 18259584401763*l.
3*l*(l + 2467089)**2
Factor -2*s**2 - 445776*s + 891560.
-2*(s - 2)*(s + 222890)
Determine c so that -2*c**4/3 - 9452*c**3/3 - 3536350*c**2 + 1336372400*c/3 + 1346972000/3 = 0.
-2420, -1, 115
Factor -28*g**3 - 132284*g**2 + 529184*g/7 - 10800.
-4*(g + 4725)*(7*g - 2)**2/7
Let y**5/9 + 1184*y**4/9 - 185716*y**3/3 + 30762766*y**2/9 + 63201707*y/9 + 3542290 = 0. Calculate y.
-1555, -1, 67, 306
What is v in 4*v**3/5 + 175356*v**2/5 + 70140*v + 175348/5 = 0?
-43837, -1
Factor -3*q**3 - 3195942*q**2 + 6391893*q - 3195948.
-3*(q - 1)**2*(q + 1065316)
Let 2*y**5/11 - 2460*y**4/11 - 236262*y**3/11 - 1764016*y**2/11 - 2829096*y/11 - 118080 = 0. Calculate y.
-82, -6, -1, 1320
Determine g, given that 4*g**2 - 220492540*g = 0.
0, 55123135
Find a, given that -2*a**2 - 12300*a + 870800 = 0.
-6220, 70
Factor -3*n**2 + 33324510*n - 92543580561675.
-3*(n - 5554085)**2
Suppose 2*i**5/3 - 123952*i**4/3 - 371870*i**3/3 - 247916*i**2/3 = 0. Calculate i.
-2, -1, 0, 61979
Determine t so that -4*t**5 - 1144*t**4 + 50832*t**3 - 436256*t**2 - 1084928*t = 0.
-326, -2, 0, 16, 26
Find r such that 2*r**3 - 2410*r**2 + 423718*r + 426130 = 0.
-1, 215, 991
Determine u so that -32*u**5/7 + 3076*u**4/7 - 82440*u**3/7 + 296224*u**2/7 + 4335232*u/7 + 929280 = 0.
-4, -15/8, 14, 44
Factor -2*s**2/7 + 3241076*s/7 - 1313071704722/7.
-2*(s - 810269)**2/7
Factor 11555*v**2 + 34643*v - 66.
(v + 3)*(11555*v - 22)
Let 2*l**2/9 + 59837260*l/9 + 59837258/9 = 0. What is l?
-29918629, -1
Factor 3*x**4 - 1901466*x**3 + 301404209043*x**2 - 33739384528080*x + 944535832363200.
3*(x - 316855)**2*(x - 56)**2
Determine t, given that -1052*t**5 - 2974*t**4 - 506*t**3 + 3338*t**2 + 1558*t - 364 = 0.
-2, -1, 91/526, 1
Factor -2*s**2/17 - 792522*s/17 + 77686364/17.
-2*(s - 98)*(s + 396359)/17
Factor 4*u**5/7 - 584872*u**4/7 + 28505881444*u**3/7 - 463087544978480*u**2/7 - 926260609940800*u/7 - 463144558496000/7.
4*(u - 48740)**3*(u + 1)**2/7
Factor -2*z**2/3 - 354872*z/3 - 1182840.
-2*(z + 10)*(z + 177426)/3
Factor -2*h**2 + 69908*h + 2449230.
-2*(h - 34989)*(h + 35)
Factor g**3/7 - 17453*g**2/7 + 11045173*g - 1446009705.
(g - 8659)**2*(g - 135)/7
Factor o**3 - 8468882*o**2 - 16937767*o - 8468884.
(o - 8468884)*(o + 1)**2
Factor -w**2/2 - 4852*w - 508694.
-(w + 106)*(w + 9598)/2
Factor u**2/8 - 317*u/8 - 62905/4.
(u - 547)*(u + 230)/8
Find i, given that -2*i**2/3 - 11784*i - 882550/3 = 0.
-17651, -25
Solve 338*i**3 - 170786772*i**2 + 52549752*i - 4042288 = 0.
2/13, 505286
What is j in -2*j**4/5 - 4532356*j**3/5 - 13597056*j**2/5 - 13597052*j/5 - 906470 = 0?
-2266175, -1
Suppose 3764*d**4 + 30000*d**3 + 25452*d**2 - 784*d = 0. What is d?
-7, -1, 0, 28/941
Determine m, given that -m**4/4 - 4169*m**3/4 - 1732227*m**2/4 - 36600971*m/4 - 49636378 = 0.
-3704, -443, -11
Factor w**2/3 - 55033*w/3 + 348422.
(w - 55014)*(w - 19)/3
What is s in -4*s**5 - 184*s**4 + 22076*s**3 + 411696*s**2 - 1428480*s = 0?
-93, -20, 0, 3, 64
Factor -v**2/6 + 215267*v/6 + 3121792/3.
-(v - 215296)*(v + 29)/6
Solve 5*h**4 - 5121015*h**3 + 1311175716480*h**2 + 32782593624500*h = 0 for h.
-25, 0, 512114
Factor -23427605*i**2 - 70282825*i - 30.
-5*(i + 3)*(4685521*i + 2)
Let -4*x**5/3 - 4790096*x**4/3 - 1434073310716*x**3/3 - 5736211811504*x**2/3 + 1434073310720*x/3 + 5736216601600/3 = 0. What is x?
-598760, -4, -1, 1
Determine h so that 4*h**2 + 35392*h - 106212 = 0.
-8851, 3
Factor 4*x**3 + 187012*x**2 + 7847768*x + 14947520.
4*(x + 2)*(x + 40)*(x + 46711)
Factor i**2/4 - 420205*i/4 - 420209.
(i - 420209)*(i + 4)/4
Determine u, given that u**5/5 + 6382*u**4/5 + 1931916*u**3 - 337895640*u**2 = 0.
-3270, 0, 158
Find o such that -o**5 + 13599389*o**4 - 46235865692409*o**3 + 138707501881519*o**2 - 92471649788498*o = 0.
0, 1, 2, 6799693
Factor n**3/7 - 778583*n**2.
n**2*(n - 5450081)/7
Find a such that a**3/7 + 669086*a**2/7 + 111920357009*a/7 + 447670722724/7 = 0.
-334541, -4
Factor -2*z**2/11 - 132800*z/11 - 12730368/11.
-2*(z + 96)*(z + 66304)/11
Suppose w**4/8 - 595*w**3 - 33531*w**2/2 + 35910*w = 0. Calculate w.
-30, 0, 2, 4788
Suppose -j**2 - 5356481*j - 16069434 = 0. What is j?
-5356478, -3
Solve 3*v**3 - 330360*v**2 + 17170761*v - 16840404 = 0 for v.
1, 51, 110068
Let 2*v**2 + 312202764*v - 312202766 = 0. What is v?
-156101383, 1
Factor -3*t**3 - 112722*t**2 - 1036182315*t + 428191107300.
-3*(t - 396)*(t + 18985)**2
Factor -3*k**2/5 + 1509842*k/5 - 201312.
-(k - 503280)*(3*k - 2)/5
Determine g so that 4*g**5 - 1224*g**4 + 15292*g**3 + 308520*g**2 + 292000*g = 0.
-10, -1, 0, 25, 292
Solve -4*h**3/7 + 62724*h**2/7 - 4251360*h/7 + 72194512/7 = 0.
34, 15613
Factor 2*q**2/11 + 2719668*q/11 + 10878640/11.
2*(q + 4)*(q + 1359830)/11
Factor 5*h**3 + 119950*h**2 - 3963795*h.
5*h*(h - 33)*(h + 24023)
Determine y so that -1154*y**5/15 + 64552*y**4/15 - 952634*y**3/15 + 374772*y**2/5 + 453600*y + 139968/5 = 0.
-2, -36/577, 4, 27
Determine p so that -p**4 - 5845*p**3 - 1613348*p**2 + 23386031020*p - 93517936176 = 0.
-3754, 4, 1659
Suppose 335*y**5 - 12065*y**4 - 24945*y**3 - 12355*y**2 + 190*y = 0. Calculate y.
-1, 0, 1/67, 38
Solve -2*t**3/7 - 6600*t**2/7 + 5688*t + 476064/7 = 0 for t.
-3306, -6, 12
Factor -b**2/6 + 3565*b/2 - 10693/3.
-(b - 10693)*(b - 2)/6
Factor 2*a**2 - 418834*a + 4606932.
2*(a - 209406)*(a - 11)
Factor -4*o**3 + 320*o**2 + 43900*o + 403000.
-4*(o - 155)*(o + 10)*(o + 65)
Let 4*d**5/3 - 181496*d**4 + 18696299900*d**3/3 - 3782434625800*d**2 - 6232099968*d + 3782434807296 = 0. Calculate d.
-1, 1, 618, 67752
Factor 4*j**2 - 17520*j - 1047604.
4*(j - 4439)*(j + 59)
Let 2*l**3/13 + 740*l**2/13 - 61166*l/13 - 256376/13 = 0. Calculate l.
-439, -4, 73
Solve 560320*h**4 + 4202410*h**3 + 1681035*h**2 - 1961090*h - 35 = 0.
-7, -1, -1/56032, 1/2
Factor 2*t**3 - 100984*t**2 - 504970*t.
2*t*(t - 50497)*(t + 5)
Factor -2*m**2 - 1847326*m - 3694644.
-2*(m + 2)*(m + 923661)
Suppose u**5 + 284654*u**4 - 1992611*u**3 + 4554564*u**2 - 3415932*u = 0. Calculate u.
-284661, 0, 2, 3
Suppose -3*z**2/4 + 57993*z/4 - 144945/2 = 0. Calculate z.
5, 19326
Find l, given that 2*l**2/9 + 369227536*l/9 + 17041121667578912/9 = 0.
-92306884
Solve 768*j**4 - 1246462*j**3 - 4999086*j**2 - 3761618*j - 9762 = 0 for j.
-3, -1, -1/384, 1627
Let -6*o**4 + 14870595*o**3 - 7435296*o**2 = 0. What is o?
0, 1/2, 2478432
Factor -106*f**2 + 392966*f - 88968.
-2*(f - 3707)*(53*f - 12)
Factor -4*q**2 - 1773760*q - 5321244.
-4*(q + 3)*(q + 443437)
Factor -3*o**3 - 144*o**2 + 135525*o + 271602.
-3*(o - 191)*(o + 2)*(o + 237)
Find f such that f**4/3 + 82*f**3/3 - 5980*f**2/3 - 53896*f/3 + 43680 = 0.
-126, -10, 2, 52
Find y, given that 2*y**3/7 - 276660*y**2/7 + 9555964146*y/7 + 114950612376 = 0.
-84, 69207
Find m, given that 22*m**5/7 - 2850*m**4/7 + 24044*m**3/7 + 2520576*m | {
"pile_set_name": "DM Mathematics"
} |
-15574, -31123, -46642, -62125, -77566, -92959, -108298, -123577?
-138790
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29137
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-69990
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12585
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479290
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-167779
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64414
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-11120974
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-1275663866
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187307
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26407
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168072650
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67480198
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17901294
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-2060127
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-124365
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1304189
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-4644931
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88195
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-182365
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115067
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-30388
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1742840
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-17343674
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194435
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3078767
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-26848
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-5675
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-1020179
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-621278
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-1901705
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-230278
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20905866
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-3802649
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489125
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121376
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-436478
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16740
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-2221739
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-2439744
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-751782
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-39046
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-38528
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-730570
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980342
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-9688
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-24404275
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339248
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-10549
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-116425
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18056
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-5190
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3028375
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8373328
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1742
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-837191161
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518709591
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-1879732
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-776
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77270
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-199200
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347746
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1670378
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3075333
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13336
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1044631
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297
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-45373
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383122090
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12619
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102347
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-686902
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974211725
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1782073
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-150
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388095
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295326
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-10429647
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21366
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248151835
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12517
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-8157
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13308038
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-3573138
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100 | {
"pile_set_name": "DM Mathematics"
} |
2*q(n) + 14*y(n). What is v(d(f))?
8*f**2
Let r(l) = 539*l**2. Let v(w) = 0*w**2 + 3*w**2 + 5*w**2 - 3*w**2 - 7*w**2. Determine v(r(b)).
-581042*b**4
Let l(c) = 5*c**2 - 18*c**2 - 11*c - c + 12*c. Let r(j) = 26*j. Calculate r(l(b)).
-338*b**2
Let g(r) = 41463*r**2. Let z(q) = -2*q. Determine z(g(n)).
-82926*n**2
Let y(a) be the first derivative of -3*a**3 + a**3 - 7 - 2. Let f(m) = -5*m. Calculate y(f(x)).
-150*x**2
Let x(y) = -2*y + 9. Let h(i) = -2*i + 3*i - 11*i + 8*i. Give h(x(l)).
4*l - 18
Let z(c) = -c. Let p(i) be the first derivative of i**5/30 + 13*i**2/2 + 13. Let m(j) be the second derivative of p(j). Give z(m(u)).
-2*u**2
Let z(k) = k. Let x(g) = 2*g. Let f be ((-2)/6)/(2/30). Let y(c) = f*z(c) + 4*x(c). Let j(q) = 2*q**2 + 4*q**2 - 2*q**2 + 4*q**2. What is y(j(u))?
24*u**2
Let b(w) = w**2 + 0*w**2 - 6*w**2 + 8*w**2 + w - w**2. Let t(x) = 2*x**2. What is b(t(d))?
8*d**4 + 2*d**2
Let m(y) = 17*y. Let x(h) = -87*h. Let w(k) = -11*m(k) - 2*x(k). Let c(o) = -2*o**2. Calculate c(w(z)).
-338*z**2
Let q(p) = 2*p**2. Let x(o) = 3*o - 5. Let h be x(3). Suppose 30 = 5*r + h*a, 0*a + 15 = 3*a. Let m(w) = -w**2 + 3*w**2 - 6*w**2 + 9*w**r. What is q(m(z))?
50*z**4
Let u(y) = -y**2. Let k = -16 + 28. Suppose 0 = -3*x - k. Let c(h) = h + 1. Let b(f) = -f - 3. Let w(t) = x*b(t) - 12*c(t). What is w(u(m))?
8*m**2
Let l(x) = -3*x + 0*x - x + 5*x. Let b(t) = 169*t. What is b(l(v))?
169*v
Let o(g) be the third derivative of -g**5/15 + 165*g**2. Let c(s) = -s**2 - 33*s. Determine o(c(u)).
-4*u**4 - 264*u**3 - 4356*u**2
Let b be (-4)/4*(-1 + -1). Let u be ((-48)/36)/((-2)/3). Let c(n) = -n**b + 0*n**2 - n**u. Let l(g) = 2*g. Calculate l(c(i)).
-4*i**2
Let c(g) be the first derivative of -2*g**3/3 + 1. Let j(o) be the third derivative of 0 + 5*o**2 + 0*o - 1/8*o**4 + 0*o**3. Give c(j(k)).
-18*k**2
Let l(x) = -5*x + 3*x + 4*x - x. Let p(h) = -89*h. Give l(p(o)).
-89*o
Let b(g) be the first derivative of -7*g**3/3 - 1. Let f(k) be the second derivative of -k**4/12 - 1577*k. What is b(f(s))?
-7*s**4
Let v(k) = 5*k**2. Let y(t) = -36*t - 5. Let h(a) = 2*a**2 + 43*a - 17. Let i be h(-22). Let x(q) = -522*q - 72. Let c(p) = i*x(p) - 72*y(p). Calculate c(v(b)).
-90*b**2
Let s(l) = -l. Let j(n) = 14*n - 128. Let g(o) = -5*o + 42. Let z(x) = 17*g(x) + 6*j(x). Determine z(s(d)).
d - 54
Let n(x) = 8*x + 116. Let v(p) = -3*p**2. Give v(n(g)).
-192*g**2 - 5568*g - 40368
Let b(y) = 3*y. Let c(w) = 1917*w - 4. Determine c(b(j)).
5751*j - 4
Let a(k) = -2*k. Let g = 1 - -15. Let z(n) = -g*n - 103 + 103. Determine a(z(p)).
32*p
Let y(d) = -9*d**2 - 51. Let a(n) = -n**2 - 17. Let c(q) = 3*a(q) - y(q). Let x(m) = -m. Let i(r) = 10*r. Let u(g) = -i(g) - 5*x(g). Give u(c(h)).
-30*h**2
Let p(i) = -16*i**2. Let a(u) = 7821*u. Give p(a(l)).
-978688656*l**2
Let h(t) = -2*t. Let n(a) be the first derivative of -4*a**2 + 7 + 1 + 3*a**2. What is n(h(z))?
4*z
Let q(s) be the second derivative of s**4/4 - 46*s - 2. Let g(v) = 12*v - 12*v - 6*v**2. Calculate g(q(t)).
-54*t**4
Let i(n) = -n**2 + 17*n - 39. Let m be i(12). Let o(d) = -18*d - m*d + 35*d. Let y(f) = -13*f. Give y(o(c)).
52*c
Let u(s) = -2*s**2. Let d(k) = -1. Let c(q) = -13*q + 5. Suppose -4*n - v = 7, v + 6 = -v. Let o = 7 + -12. Let j(f) = n*c(f) + o*d(f). Determine u(j(g)).
-338*g**2
Let j(b) = 0*b + 0*b + 0*b - 2*b**2. Let z(q) be the first derivative of q**2 - 4. Determine j(z(y)).
-8*y**2
Let v(b) = -222*b. Let x(r) = -4*r**2 + 0*r**2 + 6*r**2 - 3*r**2. What is x(v(w))?
-49284*w**2
Let h(g) = 1625*g**2. Let l(u) = 619*u. Give l(h(j)).
1005875*j**2
Let q(b) = -b**2 + 215*b - 4. Let i(z) = 4*z**2. Determine q(i(f)).
-16*f**4 + 860*f**2 - 4
Let k(t) = -56577*t**2. Let y(j) = 2*j**2. Give y(k(u)).
6401913858*u**4
Let n(v) = 2*v**2. Let m(k) be the first derivative of -3*k**2/2 - 50*k + 651. Give m(n(r)).
-6*r**2 - 50
Let h(b) = -10*b. Let p(i) be the first derivative of i**4/12 - 23*i**2/2 + 3. Let a(j) be the second derivative of p(j). What is h(a(w))?
-20*w
Let x(r) = -15*r - 3*r**2 - 13*r + 28*r. Let q(f) be the third derivative of f**4/4 - 25*f**2. Calculate q(x(k)).
-18*k**2
Let c(p) = -3*p. Let y(h) = 301109*h. Give c(y(f)).
-903327*f
Let n(k) = -9*k**2 - 5*k - 5. Let u(m) = 8*m**2 + 4*m + 4. Let d(c) = -4*n(c) - 5*u(c). Let r(s) = 0*s**2 - 3*s**2 + s**2 + 4*s**2. Calculate r(d(q)).
32*q**4
Let r(j) = -8*j - 3. Let z(m) be the first derivative of 3*m**2/2 - 80. Give z(r(v)).
-24*v - 9
Let q(k) = -3*k - k + 6*k. Let f(b) = 4*b**2 + 3*b. Let r(p) = 16*p**2 + 11*p. Let w(v) = 22*f(v) - 6*r(v). Determine q(w(u)).
-16*u**2
Let s(b) = 52*b - 13*b - 20*b - 18*b. Let a(l) be the third derivative of -3*l**5/5 - 2*l**2. Calculate s(a(h)).
-36*h**2
Let k(j) = -160*j. Let b(v) = 5257*v**2. Calculate b(k(x)).
134579200*x**2
Let k(a) = -63*a + 12. Let t = -47 - -50. Let y(z) = -31*z + 7. Let h(f) = t*k(f) - 5*y(f). Let o(r) = 2*r. Calculate o(h(s)).
-68*s + 2
Let k(t) = -4*t**2 - 3*t. Let j(w) = 100*w**2 + 98*w**2 - 194*w**2. What is j(k(f))?
64*f**4 + 96*f**3 + 36*f**2
Let t(j) = -j. Let n(l) = 1284*l - 11. Determine n(t(i)).
-1284*i - 11
Let u be 10 - 3 - (-4 + 1). Let c(j) = 3*j + 10 - 9*j - u. Let b(x) = -35*x**2 + 12*x**2 + 9*x**2 + 13*x**2. What is b(c(t))?
-36*t**2
Let c(f) = -10*f - 7*f + 0*f. Let l(q) be the third derivative of -q**5/30 + 148*q**2. Determine c(l(t)).
34*t**2
Let k(x) = -6*x. Let m(c) = 2*c - 2155. Calculate k(m(p)).
-12*p + 12930
Let t(h) = -577267 + h**2 + 577267. Let b(r) be the third derivative of -r**4/6 + r**2. Give b(t(i)).
-4*i**2
Suppose 2*r = -5*l - 10, 3*r = l + 2*l + 6. Let t(x) = -2*x**2 + r*x**2 + 2*x**2 - x**2. Let b(h) = -h + 3*h - h. Determine b(t(m)).
-m**2
Let v(z) = -4*z**2. Suppose 0 = 25*n - 46 - 104. Let f be (-4 - 0)*17/(-4). Let u(l) = -7*l. Let c(b) = 20*b. Let x(a) = f*u(a) + n*c(a). Determine v(x(h)).
-4*h**2
Let g(o) = o**2 + 2*o - 7. Let n be g(-5). Let i = n + -6. Let v(k) = 3*k**2 - 4*k**2 + 3*k**i - 3*k**2. Let w(f) = -3*f**2. What is w(v(z))?
-3*z**4
Let b(r) = -4*r**2 - 3*r + 3. Let t(c) = c**2 + c - 1. Let z(a) = 2*b(a) + 6*t(a). Let x(k) = -3*k**2 - 2*k**2 - 3*k**2 + k**2. What is z(x(f))?
-98*f**4
Let t be 10/4*(-12)/(-15). Let m = 37 + -34. Let p(q) = t + 1 + q - m. Let n(s) = -3*s. Give n(p(a)).
-3*a
Let f(t) = -135109*t**2. Let y(z) = -z**2. Determine y(f(x)).
-18254441881*x**4
Let l(g) be the third derivative of 0*g + 0 + 34*g**2 + 0*g**3 + 0*g**4 - 1/60*g**5. Let o(j) = j + j - j + 0. What is o(l(w))?
-w**2
Let l(w) be the third derivative of -w**4/8 + 14*w**2. Let y(d) = 3*d + 5*d**2 + 6*d**2 - 3*d. Give y(l(h)).
99*h**2
Let x(l) = -l. Let j(r) be the third derivative of 31*r**6/360 + 5*r**4/6 - 28*r**2. Let q(w) be the second derivative of j(w). Calculate q(x(d)).
-62*d
Let v(j) be the first derivative of -j**2 - 625. Let k(s) be the third derivative of s**5/12 - s**2. Calculate v(k(b)).
-10*b**2
Let o(s) = -4539*s. Let c(j) = -66*j - 1. Determine o(c(b)).
299574*b + 4539
Let m be (-219)/(-45) + 4/30. Let h(y) = -9 + 9 - m*y + 13*y. Let r(c) = -4*c. Give h(r(w)).
-32*w
Let r(c) = c**2 - 1. Let h(n) = 102*n + 28. Calculate h(r(p)).
102*p**2 - 74
Let i(x) = -2*x**2. Let g(k) = -k**2 - 3*k + 7. Let b(s) = 4*s**2 + 7*s - 15. Let u(o) = -3*b(o) - 7*g(o). What is i(u(y))?
-50*y**4 - 80*y**2 - 32
Let m(g) = 8*g. Let x(r) = 4487*r**2. Give x(m(z)).
287168*z**2
Let o(k) = 2*k + 11 - 5 - 6. Let s(w) = -w. Let y(q) = -8*q. Let m(d) = -6*s(d) + y(d). Calculate o(m(l)).
-4*l
Let m(g) = -12*g. Let l(o) = -6*o - 8*o + 2*o + 2*o. Calculate m(l(w)).
120*w
Let x(w) = 42574*w**2. Let v(g) = 3*g. Give x(v(c)).
383166*c**2
Let c(z) = 2*z**2. Let v(k) = 192*k - 49. Give v(c(o)).
384*o**2 - 49
Let q(l) = l**2 + 2*l + 2. Let r(f) = f**2 - 6*f - 6. Let v(s) = -3*q(s) - r(s). Let b(x) = 6*x**2 - 4*x**2 + 0*x**2. Determine b(v(k)).
32*k**4
Let q(r) = -9*r. Suppose 2*j = -0*j - 10. Let m(s) = -4*s. Let h(i) = i. Let z = 0 - 1. Let l(y) = j*h(y) + z*m(y). Give q(l(a)).
9*a
Let a(c) = -7875*c. Let z(q) = -10*q. Calculate a(z(t)).
78750*t
Let h(v) = -3*v. Let t(p) = -131350*p + 131350*p - 39*p**2. Give t(h(q)).
-351*q**2
Let l(i) = -4027 + 4027 + 17*i**2 - 2*i**2. Let o(f) = -4*f**2. Calculate l(o(q)).
240*q**4
Let o(f) = -3*f. Let q(w) = 2 + 0 + 0. Let u(g) = 18 - 11 - 5 - 2*g**2 + g* | {
"pile_set_name": "DM Mathematics"
} |
ifths of a millennium?
4200
What is 7083.295 tonnes in nanograms?
7083295000000000000
How many centimeters are there in 72/5 of a meter?
1440
How many micrometers are there in 17/4 of a millimeter?
4250
How many millilitres are there in six fifths of a litre?
1200
How many microseconds are there in 70859.86 days?
6122291904000000
How many micrometers are there in 9/10 of a millimeter?
900
What is 4864.311ms in nanoseconds?
4864311000
What is 2268.61 centuries in decades?
22686.1
How many millennia are there in 953516.3 years?
953.5163
What is 707.961 micrometers in nanometers?
707961
What is twenty-one quarters of a centimeter in micrometers?
52500
Convert 5204.767l to millilitres.
5204767
What is 13/4 of a litre in millilitres?
3250
What is 0.5981175 millilitres in litres?
0.0005981175
Convert 12564.585 months to years.
1047.04875
Convert 4.168624 micrometers to kilometers.
0.000000004168624
How many centuries are there in 3/10 of a millennium?
3
How many milliseconds are there in 722199.4ns?
0.7221994
What is 4159.271 minutes in nanoseconds?
249556260000000
What is 1/10 of a millennium in centuries?
1
How many micrograms are there in 25/4 of a milligram?
6250
How many grams are there in 74735.38 tonnes?
74735380000
Convert 515954.9 years to millennia.
515.9549
What is 13753.72 litres in millilitres?
13753720
What is 48.6208 meters in nanometers?
48620800000
How many grams are there in 365.4955 tonnes?
365495500
What is 3/8 of a millisecond in microseconds?
375
What is twenty-seven halves of a litre in millilitres?
13500
How many millilitres are there in 78.92207 litres?
78922.07
Convert 2.366145 months to millennia.
0.00019717875
What is seventeen halves of a tonne in kilograms?
8500
How many nanometers are there in seven halves of a micrometer?
3500
How many litres are there in 0.594527ml?
0.000594527
How many millimeters are there in 0.8387918 meters?
838.7918
Convert 84524.41 years to millennia.
84.52441
What is thirty-seven halves of a litre in millilitres?
18500
What is thirteen fifths of a litre in millilitres?
2600
What is 3/50 of a tonne in grams?
60000
Convert 0.7679987 decades to years.
7.679987
How many hours are there in 0.0959976 minutes?
0.00159996
Convert 62.44111mm to kilometers.
0.00006244111
Convert 5.654197 centimeters to nanometers.
56541970
Convert 520922.4l to millilitres.
520922400
What is 844678.3mg in kilograms?
0.8446783
How many millimeters are there in 46/5 of a meter?
9200
What is 6956.76 millilitres in litres?
6.95676
What is 0.768517ns in microseconds?
0.000768517
How many nanoseconds are there in 27/5 of a microsecond?
5400
What is thirty-one halves of a litre in millilitres?
15500
What is 93625.57 litres in millilitres?
93625570
What is nineteen quarters of a decade in months?
570
Convert 2538185.1 months to decades.
21151.5425
What is 0.0047374ml in litres?
0.0000047374
What is 6/25 of a millennium in months?
2880
How many microseconds are there in 0.1720029 minutes?
10320174
What is eleven halves of a litre in millilitres?
5500
What is 17/2 of a gram in milligrams?
8500
What is 886482.7cm in kilometers?
8.864827
Convert 41.17526kg to nanograms.
41175260000000
Convert 1.018108 millilitres to litres.
0.001018108
What is 0.9440283ml in litres?
0.0009440283
What is 999881.5l in millilitres?
999881500
How many millilitres are there in 6/25 of a litre?
240
Convert 22246.101 months to years.
1853.84175
Convert 0.4540423 grams to micrograms.
454042.3
What is twenty-one eighths of a tonne in kilograms?
2625
Convert 41.037 years to months.
492.444
How many micrometers are there in 82090.55cm?
820905500
How many centimeters are there in 320631.2 millimeters?
32063.12
What is 43186.72 millennia in years?
43186720
What is thirty-two fifths of a microgram in nanograms?
6400
Convert 42.78818ms to nanoseconds.
42788180
Convert 72.6595 decades to millennia.
0.726595
What is 329577.8g in micrograms?
329577800000
What is 61.4846673 minutes in weeks?
0.006099669375
How many nanoseconds are there in 0.7862997 hours?
2830678920000
Convert 869645.8 milligrams to nanograms.
869645800000
How many litres are there in 83.36718ml?
0.08336718
What is 0.5523981l in millilitres?
552.3981
What is twenty-three eighths of a meter in millimeters?
2875
Convert 21976.03 centuries to millennia.
2197.603
What is 552.2639 centuries in millennia?
55.22639
How many centimeters are there in seven quarters of a meter?
175
What is 2/125 of a millennium in years?
16
What is 575206.3l in millilitres?
575206300
What is 1/4 of a millisecond in microseconds?
250
Convert 2942.22 millilitres to litres.
2.94222
What is 4134.6095 days in weeks?
590.6585
What is 2.1004659 nanoseconds in minutes?
0.000000000035007765
Convert 57313.09 centuries to months.
68775708
What is 4376.795 nanometers in millimeters?
0.004376795
How many millilitres are there in one twentieth of a litre?
50
How many meters are there in 86.32354 centimeters?
0.8632354
What is 99.67999 millilitres in litres?
0.09967999
How many centimeters are there in 43/2 of a meter?
2150
Convert 4.76927g to milligrams.
4769.27
How many millilitres are there in 0.0061681l?
6.1681
What is 21/8 of a kilogram in grams?
2625
How many millilitres are there in 33/5 of a litre?
6600
What is 3/5 of a century in decades?
6
How many millilitres are there in thirteen fifths of a litre?
2600
Convert 77189.99 nanograms to tonnes.
0.00000000007718999
Convert 6.749757 meters to kilometers.
0.006749757
What is 96609.51ms in days?
0.001118165625
How many minutes are there in seventy-nine thirds of a hour?
1580
What is seventy-three quarters of a microgram in nanograms?
18250
What is 1/5 of a kilometer in centimeters?
20000
What is 516.6852nm in micrometers?
0.5166852
What is twenty-five quarters of a litre in millilitres?
6250
How many tonnes are there in 128.3384 milligrams?
0.0000001283384
What is 17/4 of a kilogram in grams?
4250
What is 4/15 of a decade in months?
32
What is 26/5 of a millisecond in microseconds?
5200
Convert 0.8454742ml to litres.
0.0008454742
What is 25.983g in tonnes?
0.000025983
How many months are there in 1/4 of a year?
3
What is 8297.997 seconds in nanoseconds?
8297997000000
Convert 58.47466 nanometers to millimeters.
0.00005847466
How many millimeters are there in 1/10 of a kilometer?
100000
How many meters are there in 215.2683um?
0.0002152683
What is eighteen fifths of a decade in months?
432
What is twenty-seven fifths of a millennium in years?
5400
How many seconds are there in seventeen sixths of a hour?
10200
What is twenty-nine halves of a millennium in decades?
1450
What is 38.83271g in micrograms?
38832710
What is thirty-three fifths of a millennium in centuries?
66
How many microseconds are there in 975.2717 seconds?
975271700
What is four thirds of a hour in minutes?
80
What is five eighths of a centimeter in micrometers?
6250
How many micrometers are there in fourty-six fifths of a millimeter?
9200
What is 77.43953 decades in centuries?
7.743953
What is 11517.31 kilograms in micrograms?
11517310000000
What is 62.75115 litres in millilitres?
62751.15
What is thirteen fifths of a kilogram in grams?
2600
What is thirteen eighths of a decade in months?
195
What is 86119.93 tonnes in kilograms?
86119930
How many milliseconds are there in 0.6522693 weeks?
394492472.64
Convert 4.366649 litres to millilitres.
4366.649
What is 3/32 of a gram in micrograms?
93750
How many kilograms are there in 6266.777ug?
0.000006266777
What is 4552.604 days in milliseconds?
393344985600
How many kilograms are there in 53/4 of a tonne?
13250
How many millennia are there in 172.0767 decades?
1.720767
Convert 47673.58km to centimeters.
4767358000
What is 800.5225 nanometers in kilometers?
0.0000000008005225
What is 1613.454255ns in weeks?
0.0000000000026677484375
Convert 2180597.1 microseconds to minutes.
0.036343285
How many milliseconds are there in 70110.01 hours?
252396036000
Convert 0.7516212 millilitres to litres.
0.0007516212
What is 1.006142 years in centuries?
0.01006142
How many nanometers are there in 15/4 of a micrometer?
3750
How many millilitres are there in seventeen halves of a litre?
8500
What is twenty-five halves of a litre in millilitres?
12500
What is twenty-six fifths of a day in min | {
"pile_set_name": "DM Mathematics"
} |
) - sqrt(21))*-6))/(sqrt(21)/sqrt(3)*4 + (-2*sqrt(567) - sqrt(7) - sqrt(7))).
25*sqrt(3)/16
Simplify (1 + (sqrt(6)/sqrt(3)*-6 - (sqrt(2) + -4 + sqrt(2))*-4))**2.
-60*sqrt(2) + 233
Simplify ((-1*(5*sqrt(209)*2 + sqrt(209)))/((sqrt(704)*1 - sqrt(704)) + sqrt(704) + -2*sqrt(11)*-2))**2.
2299/144
Simplify 5*(sqrt(30) - sqrt(120)/sqrt(4))/sqrt(10) - ((1*sqrt(3) - sqrt(3))*-6 + (sqrt(192) - 2*sqrt(192)))**2.
-192
Simplify (-4*(sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114)*-2) - sqrt(114))))*1)/(sqrt(48)/((-1*sqrt(8) - sqrt(8))*-1)).
24*sqrt(19)
Simplify (2*(sqrt(136)*-2 - sqrt(136) - sqrt(136))*4)/(sqrt(128) - (sqrt(128) + -2*sqrt(128) - sqrt(128)) - (2*sqrt(8)*6 - sqrt(8))).
-32*sqrt(17)
Simplify 2*((sqrt(208) - 1*sqrt(208))**2 - sqrt(208))*-2 - (sqrt(65)/sqrt(20) + (sqrt(143)/(sqrt(11) - (sqrt(275) - sqrt(11) - sqrt(11))))**2).
-13/4 + 31*sqrt(13)/2
Simplify (-2*-1*sqrt(1344))/(sqrt(42)/(sqrt(18)/(sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(27)))) + sqrt(6))).
20*sqrt(3)
Simplify (4 + -2*-4*(3 + sqrt(4032)*2))**2.
21504*sqrt(7) + 1032976
Simplify ((0 + sqrt(242)*-3 - sqrt(242)) + (sqrt(242) - (sqrt(242) + (sqrt(242) - (3 + sqrt(242))))*3))*5.
-330*sqrt(2) + 45
Simplify -6*(2 + 4*(1 + sqrt(539) + 5)) + 5.
-168*sqrt(11) - 151
Simplify ((sqrt(243) - (1 + sqrt(243))) + 5 - sqrt(12)/(-5*sqrt(4)*-1))*-6.
-24 + 6*sqrt(3)/5
Simplify 4*(2 + sqrt(637) + sqrt(637) + 1 - (-1*sqrt(637)*-1 + sqrt(637))).
12
Simplify (-2*(-1*sqrt(704) - sqrt(704)) - (sqrt(11) + -1 + 3 - sqrt(11) - (sqrt(88)/sqrt(4) - sqrt(22))/sqrt(2)))**2.
-128*sqrt(11) + 11268
Simplify 4 + (sqrt(208) - (sqrt(208) + (-5*sqrt(208)*-3)**2)) + ((sqrt(208) + -2)*6)**2.
-39164 - 576*sqrt(13)
Simplify ((1*(sqrt(288)*2 + sqrt(288) + sqrt(288) + sqrt(288)) + sqrt(288))*-4*-5*-1)**2 + 5.
4147205
Simplify -4*(sqrt(243) + 0 + 1 + sqrt(243) - sqrt(243))*4.
-144*sqrt(3) - 16
Simplify (sqrt(90)/(sqrt(18)/sqrt(6))*1)/((sqrt(100)/(sqrt(30)/sqrt(3)) + sqrt(10))*1).
sqrt(3)/2
Simplify -2*(-1 + (-2*sqrt(22)*2)/(sqrt(150)/sqrt(3) + sqrt(2))).
2 + 4*sqrt(11)/3
Simplify (sqrt(42)/(sqrt(14)/sqrt(2))*2)/(4*(sqrt(2) + -2*sqrt(2) + sqrt(2)) - (sqrt(2) - 5*sqrt(18))).
sqrt(3)/7
Simplify 1*(((-2*sqrt(2) - sqrt(2))*1 - (sqrt(162) + 1)) + (sqrt(24)/(-2*sqrt(12)) - (sqrt(32) + 1)**2)).
-34 - 41*sqrt(2)/2
Simplify (0 + sqrt(448) + (sqrt(252) + -1 - sqrt(252)) + sqrt(252) + (sqrt(1008) + -1)*3)**2*-5 + 5.
-87575 + 2000*sqrt(7)
Simplify (-5*((sqrt(1331) + 1 - sqrt(1331))*4 + -1*(1 + sqrt(1331) + sqrt(1331)) + sqrt(1331) + -5 + (sqrt(1331) + 1)*4))**2.
3300*sqrt(11) + 299575
Simplify -4*(sqrt(40)/(sqrt(32)/sqrt(4)) - -2*sqrt(125))**2 + -4.
-2424
Simplify (-1 + -5*(sqrt(200)*1 + 0 + sqrt(200)*-1 + 4))**2 + 5.
446
Simplify ((sqrt(343) + 0)*2 - (2 + sqrt(1008) + 4)) + 2.
-4 + 2*sqrt(7)
Simplify (sqrt(684) + (-2*sqrt(684) - sqrt(684)))**2 + (sqrt(171)*-2)/sqrt(9) + (-4*(sqrt(2736) + -1))**2.
-386*sqrt(19) + 46528
Simplify (5*(-2 + sqrt(2448) + sqrt(2448)) + 2 - -4*(sqrt(1700)*-1 + 3*sqrt(272)))**2.
-2048*sqrt(17) + 278592
Simplify (-4*2*(sqrt(114) + -2*sqrt(114)))/(-6*-2*sqrt(486)).
2*sqrt(19)/27
Simplify (-1*(sqrt(21) - (sqrt(84) - sqrt(21) - sqrt(21))))/((sqrt(27) - (sqrt(27) + sqrt(243)))/sqrt(9)) + 5.
sqrt(7)/3 + 5
Simplify (2 + -2 + 5 + sqrt(27) - (sqrt(24)/(sqrt(8) + sqrt(16)/sqrt(2)) - (sqrt(42)/sqrt(2))/sqrt(7)))**2.
35*sqrt(3) + 247/4
Simplify (-2*sqrt(2304)*-3)/((1*(sqrt(48) + (sqrt(768) - sqrt(48))))/sqrt(6)).
18*sqrt(2)
Simplify (sqrt(77)*2*-5 + -2*sqrt(77)*1)/(-4*-2*sqrt(28)).
-3*sqrt(11)/4
Simplify 1*(-1*sqrt(931) + 3*sqrt(76) + 2).
-sqrt(19) + 2
Simplify ((5 + (0 + sqrt(2))*5*-6)*2 + 4)**2.
-1680*sqrt(2) + 7396
Simplify (sqrt(2662) + -1*-1*sqrt(2662))/(sqrt(88)/(sqrt(8)*-1)*-2).
11*sqrt(2)
Simplify (-2*sqrt(242)*-2 + (sqrt(242) + 0)*4 + sqrt(242) + 4)**2.
792*sqrt(2) + 19618
Simplify ((1 + sqrt(1377))*-1 + sqrt(1377))**2 + -4*sqrt(17)*5*6.
-120*sqrt(17) + 1
Simplify (-4 + (sqrt(432) - (sqrt(432) + sqrt(432) + -3 + 1 + sqrt(432) + sqrt(432) + sqrt(432))**2) + 2)*-4.
-1008*sqrt(3) + 43224
Simplify (sqrt(240)*-1)/(sqrt(432)*-6).
sqrt(5)/18
Simplify 0 + -5*(5 + sqrt(847) + 2 - -2*(sqrt(847)*1 + sqrt(847)))**2.
-106120 - 3850*sqrt(7)
Simplify 4*(-1*sqrt(567) + sqrt(567))**2 - (-1*sqrt(28)/sqrt(4)*-5)**2.
-175
Simplify -4 + ((sqrt(20) + -1*sqrt(20) + sqrt(20) + sqrt(20))*-5)/(sqrt(640)*2 - sqrt(640)) + -4.
-8 - 5*sqrt(2)/4
Simplify -6*(sqrt(5040)*-3)/(sqrt(25)/sqrt(80)).
864*sqrt(7)
Simplify (sqrt(405) + -1 + 2)**2 + 2*(sqrt(405) - (-2*sqrt(405))**2) + -2.
-2836 + 36*sqrt(5)
Simplify -6*(1 + (sqrt(68) + 1 - sqrt(68)) + 4 + (sqrt(68) + 1)**2 + -3).
-432 - 24*sqrt(17)
Simplify ((sqrt(117)*-3)/sqrt(3))/sqrt(3) - 4*-3*((sqrt(13) + 2)**2 + sqrt(13) - sqrt(13)).
45*sqrt(13) + 204
Simplify (1*sqrt(76)*2 + 4 + 1)**2.
40*sqrt(19) + 329
Simplify ((4 + (sqrt(50) - sqrt(2))*4 - (sqrt(288)*-1 + sqrt(288))*3)*-2)**2.
512*sqrt(2) + 2112
Simplify sqrt(245) + ((-2 + sqrt(245))*-3)**2 + ((-5*(sqrt(5) + 0 + sqrt(5)))**2 - (sqrt(180) + sqrt(45) - sqrt(45))/sqrt(9)) + 3.
-247*sqrt(5) + 2744
Simplify (sqrt(204)*3*4)/(sqrt(132)/(1*sqrt(11))).
12*sqrt(17)
Simplify ((sqrt(448)/sqrt(392))/(sqrt(800)*-1))**2.
1/700
Simplify (1*6*(-2 + 3 + sqrt(80) + sqrt(80) + 0 + -5))**2.
-2304*sqrt(5) + 12096
Simplify (1 + -6*(-1 + sqrt(5)) - sqrt(45)/(1*(sqrt(9) + (sqrt(9) - sqrt(81))))) + -5.
-5*sqrt(5) + 2
Simplify -2 + -5 + sqrt(1300)*3 + -4.
-11 + 30*sqrt(13)
Simplify ((sqrt(2940) - 4*sqrt(2940))*-4)/(2*sqrt(1728)*-5).
-7*sqrt(5)/10
Simplify 6*(-1 + (-1 + (sqrt(2) - (-1 + sqrt(2))))*-1).
-6
Simplify (sqrt(95)*2*-5 + -3*(sqrt(95)*1 + sqrt(95)))/(sqrt(500) + (sqrt(500) - sqrt(500)*-4)*-4 + sqrt(500) - sqrt(500)).
8*sqrt(19)/95
Simplify (sqrt(133) + 5*sqrt(133)*-2)/sqrt(7) + (sqrt(152) + sqrt(152) + (sqrt(152) - sqrt(152)*-2)*5 + sqrt(152) - sqrt(152))/sqrt(8).
8*sqrt(19)
Simplify (5*(sqrt(931) + 2 + sqrt(931))*-6 + 3)**2 + -1.
47880*sqrt(19) + 3354848
Simplify ((sqrt(784) - 4*sqrt(784)*-2) + sqrt(784))/((sqrt(80)*1*5)/sqrt(10)).
14*sqrt(2)
Simplify ((sqrt(352) + sqrt(352)*2 + sqrt(352))*-3 + sqrt(352))/(sqrt(33)/sqrt(3)*1) + 0.
-44*sqrt(2)
Simplify (3 + -5*(5*(1 + sqrt(684)) - (sqrt(684) + -1 + -3))*-4)**2.
175680*sqrt(19) + 4411089
Simplify -4*(-4*(-3*(sqrt(77) + (-1*sqrt(77) - sqrt(77)) + sqrt(77)) + sqrt(77)))/(-2*sqrt(704)*-1).
sqrt(7)
Simplify ((-1*(sqrt(242) - (sqrt(242) + 0)) + -5)*-2*4 + 3)**2.
1849
Simplify -5 + (-2*(2*sqrt(243) + -4 + 3 + sqrt(243)*-2) + 2)**2.
11
Simplify (4*(sqrt(216) + 1*sqrt(216)) - sqrt(216))/((sqrt(108) + 2*sqrt(108))*-4).
-7*sqrt(2)/12
Simplify (-4*(sqrt(132) - sqrt(132)*1*-4))/(sqrt(12) + (sqrt(24)/(sqrt(8)/sqrt(4)) - sqrt(12)) + sqrt(12) + (sqrt(12) - -1*sqrt(300))).
-5*sqrt(11)/2
Simplify ((1*sqrt(112))/sqrt(7))/(sqrt(72) + -1*sqrt(72) + sqrt(72) + sqrt(72) - sqrt(72))*-2*1.
-2*sqrt(2)/3
Simplify -1 + ((sqrt(4000) - sqrt(4000)*-1)/sqrt(4))/(sqrt(50)/(sqrt(10) - 2*sqrt(10)) + ((sqrt(5) + -2*sqrt(5))*4 - sqrt(5))).
-10*sqrt(2)/3 - 1
Simplify (2*sqrt(114) - sqrt(114))/sqrt(6) + -3 - (sqrt(19)*-2*4 - 4*(sqrt(19) + 0)).
-3 + 13*sqrt(19)
Simplify (5*(1*sqrt(1700) + sqrt(1700) + sqrt(34)/sqrt(2)*6))**2 + (3 + sqrt(2448)*-1 + -1 + sqrt(2448) + sqrt(2448) + 2*sqrt(2448))**2.
144*sqrt(17) + 309336
Simplify (-6*sqrt(20)/sqrt(64) + 2 + -2*sqrt(405))*-2.
-4 + 39*sqrt(5)
Simplify (-3*sqrt(896) + sqrt(56) - sqrt(56))/(sqrt(24)/sqrt(27)).
-36*sqrt(7)
Simplify ((sqrt(2448) - -2*sqrt(2448)*-6) + (sqrt(85)*-2*1 - sqrt(85))/sqrt(5))**2*-5.
-1549125
Simplify 4 + (-2*-4*(sqrt(117)*-2*4 - sqrt(117)*1*-6))**2.
29956
Simplify (-1*-6*1*sqrt(153))/(sqrt(18)/sqrt(2)*6 + sqrt(9) + sqrt(1296)*1 + sqrt(1296))*-6.
-36*sqrt(17)/31
Simplify -2 + -2 + sqrt(1700) - 2*2*sqrt(17)*-3.
-4 + 22*sqrt(17)
Simplify ((sqrt(75) - (-3 + sqrt(75) - sqrt(75)) - sqrt(75)) + 0 + (2*sqrt(75)*5 - sqrt(75)))**2.
270*sqrt(3) + 6084
Simplify (sqrt(36) + 1*sqrt(2304))/sqrt(12) + (-1 + sqrt(147))**2 + 5.
-5*sqrt(3) + 153
Simplify (sqrt(112) + -4)**2 + sqrt(42)/(-3*sqrt(6)) + -4 + -4.
-97*sqrt(7)/3 + 120
Simplify 6*1*((5 + sqrt(44))**2 - -1*sqrt(11)*-3)*6.
612*sqrt(11) + 2484
Simplify 3 + (sqrt(1008)*-5*5 + (sqrt(1008) + sqrt(1008) + 1 + sqrt(1008) + 5 - sqrt(1008)))**2.
-3312*sqrt(7) + 533271
Simplify (5 + 2 + 4 + ((sqrt(114) - sqrt(114)*4)*4)/sq | {
"pile_set_name": "DM Mathematics"
} |
ors of t?
2, 7
Suppose 3*u + 9 = 3*w, 5*w - 21 = 2*u - 3*u. Suppose w*v - 5*v = -11. List the prime factors of v.
11
Let a = 1 - 3. What are the prime factors of 2*(a + 27/2)?
23
Let w be (-10)/5*2/(-4). Let j = -1 + 11. Let b = j + w. List the prime factors of b.
11
Let k be (-3 + 1)*(-1)/(-2). Let j = k + 5. What are the prime factors of j?
2
Suppose -g - 5*m = -48, -3*g - 2*m - 2*m = -122. List the prime factors of g.
2, 19
Suppose -10*y = -7*y - 42. Suppose 2*x + 14 = 4*o, -o + 3*x + 2 = -4. Let b = y - o. What are the prime factors of b?
11
Let l = -82 + 136. What are the prime factors of l?
2, 3
Let g(v) = -3*v + 11. Let c(p) = -3*p + 10. Let o(s) = 4*c(s) - 3*g(s). List the prime factors of o(-3).
2
Let g(l) be the third derivative of -11/6*l**3 - 3/8*l**4 - 2*l**2 + 0*l + 0 + 1/60*l**5. List the prime factors of g(11).
11
Let f(v) = -v**3 + 3*v**2 - 4*v + 2. Let y = -1 + 3. Let m be f(y). List the prime factors of (m/(-5))/(2/60).
2, 3
Let j(t) be the second derivative of 0*t**3 - 1/10*t**5 - t**2 - 1/12*t**4 + 0 + 3*t. List the prime factors of j(-2).
2, 5
Suppose -43 = -5*h + 4*h. Suppose -2 = i - h. List the prime factors of i.
41
Suppose 4*y + 28 = -3*v, 0*y + 4 = -4*y + 3*v. List the prime factors of y/5*(-70)/4.
2, 7
Suppose -4*x + 40 = -5*x. Let h = x + 57. List the prime factors of h.
17
Suppose 0 = 3*o - o + 2*w - 18, -o = -5*w + 21. Suppose -o*a + 51 = z, -a + 0*z - 2*z + 11 = 0. What are the prime factors of a?
13
Suppose 11*f - 9*f - 390 = 0. List the prime factors of f.
3, 5, 13
Let q(o) = -o**3 + 9*o**2 + 9*o + 8. Let b be q(10). Let v be -29*(-3)/(-6)*b. Let u = 43 - v. List the prime factors of u.
2, 7
Let y(q) = 2*q**2 + 7*q - 10. Let l be y(-7). Suppose -2*d - d + l = 0. What are the prime factors of d?
13
Suppose -2*x = -5*x + 21. Let i = x + -4. What are the prime factors of i?
3
Let k(f) = 3*f - 20. What are the prime factors of k(12)?
2
Suppose -3*n - 4 = 2*h, -4*n + 4*h = 11 - 39. Suppose -p + 5 = -n*u, 5*p - 2*u + u = 16. Suppose 24 = p*g - g. What are the prime factors of g?
2, 3
Let a(h) = -9*h - 1. Let i(c) = -19*c - 2. Let y(z) = -5*a(z) + 2*i(z). Let t(o) = o - 7. Let s be t(8). What are the prime factors of y(s)?
2
Let u(r) = r**2 - 2*r + 2. Let q be u(3). Suppose 2*g = 4*t + 66, 0*g - 100 = -q*g - 3*t. List the prime factors of g.
23
Suppose 2*a + 114 = 6*a - 3*x, a - 37 = 5*x. What are the prime factors of a?
3
Suppose -2 = 2*d - 20. Suppose d*q - 6*q = 45. List the prime factors of q.
3, 5
Let p(g) = g**2 + 18*g - 5. What are the prime factors of p(9)?
2, 7, 17
What are the prime factors of (73/4 - (-14)/56)*14?
7, 37
List the prime factors of (1 - 80/4)/(-1).
19
Let i(r) = -r**2 + 3*r - 3. Let m be i(3). Let x = -3 - m. Suppose x = -3*v + v + 8. List the prime factors of v.
2
List the prime factors of (5 - 7 - 4)*(-63)/2.
3, 7
Suppose -9*f = -8*f - 179. List the prime factors of f.
179
Let v = -59 - -187. Suppose -5*f + v = -f. List the prime factors of f.
2
Let f(c) = -c**3 - 6*c**2 - 4*c + 5. Let i be f(-5). Suppose i = -3*o - o. Suppose l - 4 - 6 = o. What are the prime factors of l?
2, 5
Suppose 5*g - 20 = -5*q, 0 = -g + 6*g - 3*q - 12. Let f(t) = t**3 - 3*t**2 + 3*t - 4. Let z be f(g). Suppose z*b = -0*b + 45. What are the prime factors of b?
3
Let d be 1/(-2 + 5)*9. Let w be 6*1/(-2) + d. Suppose -3*n + w*n + 48 = 0. What are the prime factors of n?
2
List the prime factors of ((-8)/10)/((-14)/805).
2, 23
Let t(h) = 2*h**2 - 3*h + 1. Let a(w) = -w - 1. Let f be a(-4). Suppose -2*x = -x - f. What are the prime factors of t(x)?
2, 5
Let r be (2 - 2)/(-2) - -4. Let p = 3 + r. Suppose -p - 1 = -4*s. What are the prime factors of s?
2
What are the prime factors of 133/2 + (-7)/14?
2, 3, 11
Suppose -4*i - i = -25. Suppose f - 2*b = 10, i*f - 62 = 3*b + b. What are the prime factors of f - (2 - 1)*-1?
3, 5
Let u(v) be the second derivative of v**4/6 - v**3 - 3*v**2 - v. What are the prime factors of u(5)?
2, 7
Let x = -4 - -3. Let b be 1*22*x - 0. Let p = -10 - b. List the prime factors of p.
2, 3
Let d(i) = 3*i - 6. Suppose -5*x = 3*f - 2, 2*x = 4*x + 2*f - 4. Let o = x + 6. List the prime factors of d(o).
2, 3
Let t be 1/2*2*4. Suppose -2*d - 8 = -d + t*z, 3*d + 2*z = 26. List the prime factors of d.
2, 3
Let s(k) = k**3 - k + 11. What are the prime factors of s(0)?
11
Let u(m) = -m**2 - 17*m + 15. What are the prime factors of u(-14)?
3, 19
Let f(p) = -p**2 - p + 6. Let n be f(-4). List the prime factors of (-1414)/(-42) - (-4)/n.
3, 11
Suppose -16 = 3*d + d. Let k = -2 + 3. Let u = k - d. What are the prime factors of u?
5
Let k(h) = -h**3 + 7*h**2 + 8*h + 10. Let m be k(8). Suppose -m = -2*a - 0*a. Suppose 11 = -5*d - 4, a*p + 3*d - 6 = 0. What are the prime factors of p?
3
Let n(w) = w**2 - 4*w + 4. Suppose -d + 20 = 5*o, 7*d - 4*d + 20 = 5*o. What are the prime factors of n(o)?
2
Let y = 2 - 0. Let n be 15/9*6/y. List the prime factors of (6/n)/((-8)/(-140)).
3, 7
List the prime factors of ((-1938)/(-10) - 5) + (-1)/(-5).
3, 7
Let h = 0 + 2. Suppose 3*j - k - 26 = j, h*j - 4*k = 20. List the prime factors of j.
2, 7
Let h(d) be the first derivative of -d**3/3 + 5*d**2 - 3*d - 4. What are the prime factors of h(8)?
13
Suppose 0*d - 18 = 3*d. Let x(w) = -w - 4. Let h be x(d). Let n(l) = 3*l**2 + 2*l - 2. What are the prime factors of n(h)?
2, 7
Suppose 0 = -4*z + 3*z. Let y(i) = i**2 - i + 18. Let t be y(z). Suppose -r - 2*v + 3 = -0*r, t = 4*r + 5*v. What are the prime factors of r?
7
Let g = -27 + 40. List the prime factors of g.
13
Let o = 293 + -107. List the prime factors of o.
2, 3, 31
Let g(y) = 118*y**3 + y**2 + 2*y - 1. List the prime factors of g(1).
2, 3, 5
Suppose 11 = 3*x - 4. Suppose n - 3*n - 44 = -x*m, -m = -n - 10. Let l = 2 + m. What are the prime factors of l?
2, 5
Let m = -20 - -33. List the prime factors of (m + -1)/((-6)/(-16)).
2
Suppose -5*t - a = -25, 2*t + 3*a = 6*t - 39. Suppose -t*j = -j - 55. What are the prime factors of j?
11
Suppose 0 = 3*n + 2*n - 10. Suppose s + 3 = 5*o, 2*s - 3 = -n*o + 3*s. Suppose o*w = w - 2. What are the prime factors of w?
2
Suppose 0 = h - 4*h + 66. Let a = -9 + h. What are the prime factors of a?
13
Let x(w) = 5*w**2 - 4*w. What are the prime factors of x(-2)?
2, 7
Let a be 68/(-18) + (-6)/27. Let h = a - -4. Suppose h = c - 5*s - 30, c + c + 3*s = 8. List the prime factors of c.
2, 5
Suppose -g + 18 = 2*g. What are the prime factors of g/9 - (-52)/3?
2, 3
Suppose -k = 71 - 204. List the prime factors of k.
7, 19
Suppose -4*r + 5*l = -0*r - 111, 3*l = -2*r + 61. What are the prime factors of r?
29
Let m = -172 + 111. Let n = -29 - m. List the prime factors of n.
2
Let j be 10*((-14)/4 - -2). Let z = -21 - j. List the prime factors of z/8*(-12 - -8).
3
Let q(r) be the second derivative of r**4/12 + 4*r**3/3 - r**2 - 2*r. What are the prime factors of q(-9)?
7
Suppose 1 = -6*k - 5. Let r(a) = 37*a**2 + a - 1. List the prime factors of r(k).
5, 7
Let h(a) = 8 + 2*a - 5*a**2 + 6*a**2 - a. What are the prime factors of h(0)?
2
Let u = 19 + -1. Suppose 0*k - k + u = 0. List the prime factors of 32/k - (-6)/27.
2
Let t = -1 - 29. What are the prime factors of (108/t)/((-1)/5)?
2, 3
Suppose -2*v + v - 4 = 0. Let x(u) = u**3 + 4*u**2 + 6*u + 4. Let t be x(v). What are the prime factors of 11/4 - 5/t?
3
Suppose -10 = 2*v + 3*w - w, 2*v - 3*w = 0. Let g be -4*((-2)/(-1) + v). Suppose 4*a + 3*l = 13, 7*a + 4*l - 1 = g*a. What are the prime factors of a?
7
Let i be 19 - (-2)/(6/9). Let x = i - 7. List the prime factors of x.
3, 5
Let s(j) = 9*j - 17. Let f(i) = 9*i - 17. Let a(z) = 6*f(z) - 5*s(z). List the prime factors of a(6).
37
Let z be 4/(-2) - (-6 + 0). Let a(d) = d - 1. Let n be a(z). Suppose 3*k - f = -k + 3, 0 = -n*k - f + 11. List the prime factors of k.
2
Let r(h) = h**3 - h**2 + 3. Let s be r(-3). Let u = 48 + s. What are the prime factors of u?
3, 5
Suppose -k + u - 2 = 0, -2*k = -k - 3*u + 10. Suppose -2*l = k*l - 72. What are the prime factors of l?
2, 3
Suppose 0 = -z + 11*z - 3470. What are the prime factors of z?
347
Let b(c) = 0 - 4*c + 0*c - 1 + c**3 - 4*c**2. Let y be b(5). Suppose x - y = 0, 2*a - 4*x - 2 = x. List the prime factors of a.
11
Let d = 8 + -6. List the prime factors of 2 + 1 + d + 10.
3, 5
Let h(q) = -4*q. Let r | {
"pile_set_name": "DM Mathematics"
} |
divide ((-8)/q)/((-2)/39)?
False
Let c(f) = 2*f + 16. Let x be c(-6). Suppose 2*v + 2 = -x, -3*w + v + 156 = 0. Does 4 divide w?
False
Suppose 0*y = 4*f - 5*y - 697, -5*y = -5*f + 865. Is f a multiple of 70?
False
Let p(z) = -z**2 - 6*z - 3. Let b be p(-6). Let x be (-1)/((-1)/b)*1. Is 15 a factor of 450/10 - (-1 - x)?
False
Suppose 138*l - 112*l = 14950. Is 103 a factor of l?
False
Let d(r) = r**2 + 9*r - 11. Suppose x = 2*t + 24 - 2, -x + 52 = -5*t. Let b be d(t). Let a = 38 - b. Does 14 divide a?
False
Suppose 28 = -a - 0*a. Is (144/a)/(2/(-35)) a multiple of 15?
True
Let p(m) = -2*m + 18. Let q be p(8). Suppose -q*a = 5*f - 67, 121 = 5*a + f - 4*f. Does 8 divide a?
False
Is 1469/(-26)*2/(-1) a multiple of 13?
False
Let s(t) be the first derivative of 1 + 7*t + 3/2*t**2. Is s(13) a multiple of 9?
False
Let w(v) = -2*v**3 + 2*v**2 - 2*v + 4. Let o be w(3). Let k = 73 + o. Does 4 divide k?
False
Let l be -2 + (3 - 0 - 1). Let g be -2 - -1177 - (l - 1). Does 14 divide g/35 + 2/5?
False
Suppose 2*t = -0*t - 112. Let d = -99 - t. Let f = -21 - d. Is 11 a factor of f?
True
Let i(c) = -3*c - 8. Let n be i(-6). Let a = 13 - n. Is -3 + (a - -2) - -28 a multiple of 19?
False
Suppose 6*z - 42 = 3*z. Suppose -906 = -20*a + z. Does 3 divide a?
False
Suppose 31 = -2*w + 3*y - 48, -5*w - 202 = -3*y. Let m = 82 + w. Let c = -26 + m. Is c a multiple of 15?
True
Let k be 4 - (-1)/((-5)/5). Suppose 5*d - 130 = -k*b, -3*b + 13 + 13 = d. Is d a multiple of 2?
True
Let y(k) = k**2 + 4*k + 4. Let i be y(-3). Let f(b) = 4*b - i + 2 - b**2 - 3*b + 57*b**2. Does 11 divide f(-1)?
False
Let a(s) = -15*s + 62. Is 5 a factor of a(-4)?
False
Let d be (51/(-34))/(6/12464). Is 16 a factor of 2 - (-8)/(-3) - d/12?
False
Suppose -4*y - 4*y + 680 = 0. Let v = y - 70. Is 3 a factor of v?
True
Suppose -3*l + l + 5*h + 20 = 0, 0 = 5*l + 5*h + 20. Suppose -2*s + 187 = 177. Suppose -3*z = l, 0 = s*i - 0*i - 5*z - 240. Does 24 divide i?
True
Let g(b) be the first derivative of 14*b**2 - 16*b + 34. Does 20 divide g(7)?
True
Suppose -3*r = -8*r + 150. Suppose -3*t + t + r = 0. Does 4 divide t?
False
Let n(a) = 3*a - 6. Let d be n(8). Let l(h) = -18 - 25*h + d*h + 14*h. Does 22 divide l(12)?
True
Let w = 240 - 90. Is w a multiple of 50?
True
Let i(h) = -h**3 + 32*h**2 + 70*h - 27. Is i(33) a multiple of 6?
True
Let d be ((-4)/10)/(2/(-140)). Let w = -2 + d. Is w a multiple of 5?
False
Let b(y) be the first derivative of y**3/3 + y**2/2 + 42*y - 1. Let k(p) = -p**2 - p. Let z be k(0). Does 13 divide b(z)?
False
Let q(n) = -5*n + 318. Is 19 a factor of q(37)?
True
Let g = 2 - 4. Let w be 31 + (108/(-45))/((-12)/20). Is 7 a factor of (w/(-2))/(1/g)?
True
Suppose 196 = -165*h + 172*h. Is h a multiple of 4?
True
Let w(s) = 2*s**2 - 48*s - 32. Does 60 divide w(-13)?
False
Suppose 3*n + 3*j = 6, 0*n - 3*n + 38 = -5*j. Does 6 divide (-70)/(-4) - n/(-9 + -3)?
True
Let w = 36 + -32. Is 6 a factor of 36/(-1 + (w - 1))?
True
Let s be (2 - 11/1) + 3. Let a be (-9)/(-2)*(-4)/s. Suppose 2*h + 56 = 4*i, a*h = 5*i - 9 - 61. Is 4 a factor of i?
False
Let i(h) = 2*h + 12. Let t be i(-5). Suppose -5*k - 4*g = -10*k + 127, -t*k + 62 = 4*g. Does 7 divide k?
False
Suppose -6*w + 2*w - 20 = 2*q, -5*q - 62 = -2*w. Let k(o) = -15*o - 25. Does 38 divide k(q)?
False
Suppose -d + 5*r = d - 857, 5 = r. Suppose 14*x + d = 21*x. Is 9 a factor of x?
True
Let m be ((-33)/4)/(3/(-16)). Let a = m - -10. Suppose -2*j + 4*s = -30 + 8, 3*j - a = -s. Is 6 a factor of j?
False
Is 4 a factor of -4*(-6 + (-9)/(-9))?
True
Let q(p) be the third derivative of p**6/120 - 17*p**5/60 - 49*p**4/24 + 3*p**3 - 19*p**2. Is q(20) a multiple of 17?
True
Let n(j) = -4*j + 10. Let g be n(4). Let s(x) = -4*x - 3. Let b(k) = -k - 1. Let l(q) = g*b(q) + s(q). Is l(6) a multiple of 6?
False
Let s be (-9 - -10)*(1 - -3). Let y be (-6)/(4*1/s). Let d(i) = i**2 + 6*i + 4. Is d(y) a multiple of 3?
False
Suppose 10*b - 4 = 96. Suppose 0 = -4*m - b*m + 672. Is m a multiple of 6?
True
Let c(n) = -36*n - 4. Does 31 divide c(-3)?
False
Let w be 0 + 2 + -2 + 8. Let g(r) = r**2 - 7*r - 3. Let x be g(w). Let s(v) = v**2 + 2*v + 7. Is s(x) a multiple of 9?
False
Let z be (4 + -3)/(1/52). Suppose -284 = -5*l - 3*w, -w - 55 = -2*l + z. Does 11 divide l?
True
Let m be (-299)/(-65) + (-3)/5. Suppose 0 = y - 7 + m. Suppose 0 = y*a - w + 13 - 119, 4 = -4*w. Is 26 a factor of a?
False
Let d(q) be the second derivative of q**4/12 - q**3/3 + q**2/2 + 2*q. Let l be d(3). Suppose 2*p - l = 2. Is p even?
False
Let j(s) = 9*s - 9. Suppose -6*z + 3 = -5*z. Let w be j(z). Suppose -w*f - 104 = -22*f. Does 4 divide f?
False
Let n(w) = -w**3 + 8*w**2 - w + 10. Let r be n(8). Suppose 2*a - 454 = -2*b, 10*b - 5*b = -r*a + 1144. Is b a multiple of 23?
True
Suppose 5778 = 21*l - 10602. Is 78 a factor of l?
True
Suppose -5*s - n - 512 = 2*n, 4*n + 416 = -4*s. Let t(g) = 2*g**2 + 40*g + 18. Let p be t(-14). Let v = s - p. Does 16 divide v?
False
Let g(i) be the first derivative of i**4/4 - 2*i**3 + i**2 - 3*i + 85. Suppose 0*w - 24 = -4*j + w, -5*j = -3*w - 30. Is g(j) a multiple of 6?
False
Let i be (-16)/32 - (-9)/2. Suppose -i*c + 4*m + 448 = 0, c + c + m - 221 = 0. Is 12 a factor of c?
False
Let s(c) = -4*c - 7. Let g be s(-3). Suppose 0*x = 4*y - 2*x - 256, -g*y + 350 = 5*x. Is y a multiple of 33?
True
Let t(o) = -o**2 - 10*o + 1600. Does 20 divide t(0)?
True
Is 13 a factor of ((-2028)/(-48))/(-3 + 25/8)?
True
Suppose -3*b = -5*a + 5073, 4*b + b = -a + 1009. Is a a multiple of 78?
True
Let u(w) = -9*w**3 + w**2 - 2*w. Let o = -6 - -8. Let m be u(o). Does 10 divide ((-14)/3)/(16/m)?
False
Let m = 669 - 629. Is m a multiple of 10?
True
Is 2 a factor of (-663*(-6)/9 + 1)*1?
False
Let o(p) = -15*p - 175. Let l(u) = -5*u - 58. Let c(g) = 7*l(g) - 2*o(g). Is 3 a factor of c(-16)?
True
Suppose 16*r = -5*a + 20*r + 2084, -4*a - 3*r = -1692. Is 28 a factor of a?
True
Suppose 12*v = 570 + 822. Is v a multiple of 6?
False
Let k = 774 - 351. Is k a multiple of 47?
True
Let v(d) = -d**2 - 7*d. Is v(-3) a multiple of 4?
True
Suppose 0 = 3*q + 4*h - 785, -q - 3*h + 6*h + 240 = 0. Suppose 2*g + 194 = -3*k, -q = 2*k + 2*k - g. Does 8 divide (-2)/8 + (-2192)/k?
False
Suppose 5*k = 9837 - 3087. Is 54 a factor of k?
True
Let h = 34 - -62. Does 15 divide h - (-7 - 1)/2?
False
Let j = -147 - -79. Let p = -39 - j. Does 11 divide p?
False
Suppose -2*r + 0*f - f = -235, 5*r = -2*f + 587. Let h = 174 - r. Is h a multiple of 19?
True
Let t(h) = -7*h - 27. Let s be t(-6). Let g be ((-26)/8 - -1)*-4. Suppose -o = -g - s. Is 4 a factor of o?
True
Suppose 3*r - 15 = -2*t, 9 = -2*r + 11. Does 2 divide t?
True
Let l(d) = d**3 - 13*d**2 + 14*d - 3. Let j be l(12). Suppose -5*i + j = 6. Suppose b = -i*b + 104. Is 13 a factor of b?
True
Suppose 1040 = 13*k - 702. Does 19 divide k?
False
Let o = 3801 - 1671. Is o a multiple of 30?
True
Suppose 4*j - 182 = 3*j. Let g = j - 112. Let q = g - 34. Is 12 a factor of q?
True
Let r(u) be the third derivative of -5*u**4/24 - 4*u**3 - 7*u**2. Let y(z) = 2*z + 4. Let p be y(-7). Does 13 divide r(p)?
True
Let c(u) = -u**3 + 11*u**2 - 10*u - 12. Let f(a) = 5*a**3 - 55*a**2 + 51*a + 60. Let s(h) = 11*c(h) + 2*f(h). Is s(10) a multiple of 4?
True
Let y(r) = -r**3 - 3*r**2 - r + 5. Let j(c) = -2*c**3 - 6*c**2 - 3*c + 10. Let f(b) = -6*j(b) + 13*y(b). Let l be f(-4). Does 12 divide ((-4)/(-5))/(l/75)?
True
Suppose -3*l - 2*i - 136 = l, -3*l - 116 = 5*i. Let v = l - -30. Let d(k) = -10*k - 2. Does 18 divide d(v)?
True
Suppose -4*g + 139 = -305. Is 3 a factor of g?
True
Let b be 3 + 0 + 6/(-3). Let h be (b - -3)*2/(-4). Let s(p) = -2*p**3 - p**2 - 2*p - 2. Is 14 a factor of s(h)?
True
Let y = 620 - 290. Suppose -150 - y = -3*p. Does 32 divide p?
True
Let p = 10 + 16. Suppose p = 7*j - 58. Does 12 divide j?
True
Suppose 6*j - 2*j + 4*w - 80 = 0, -2*w - 32 = -j. Does 37 divide 178*(-18)/j*2/(-3)?
False
Let m(l) = l**3 + 8*l**2 + 8*l + 4. Let q be m(-7). Let h be -4*(-3)/6 + q. Does 10 divide h - -1 - (-220)/11?
True
Let i(j) = -j**3 - 9*j**2 - 22. Does 6 divide i(-10)?
True
Suppose -4354 = -5*q - 944. Does 62 divide q?
True
Let x = -17 - -24. Suppose -19 = -3*i - x. Suppose 0 = i*o - 8*o + 472. Is o a multiple of 24?
False
Suppose 444 + 234 = 2*c - 5*g, 3*g = 2*c - 678. Is 39 | {
"pile_set_name": "DM Mathematics"
} |
o six decimal places.
0
Let s = 1471.29 - 1458. Let v = 14.3 - s. Let o = -0.73 + v. Round o to 1 dp.
0.3
Let f = 0.062489 - 0.0682844. What is f rounded to 5 dps?
-0.0058
Let p = -522 - -779. Let r = -99 + p. Round r to the nearest 100.
200
Let v(y) = 47*y - 39 + 103*y**2 + 45 - 18*y. Let d be v(-6). What is d rounded to the nearest 100?
3500
Let y = -8931 - -17709. Round y to the nearest one hundred.
8800
Let j = 186.5 + -137. Let q = j + -49.49998551. What is q rounded to six dps?
0.000014
Let l = -93 + -2850. Let u = l - -2942.8679. What is u rounded to 2 decimal places?
-0.13
Let u = -295.899998304 + 295.9. What is u rounded to six decimal places?
0.000002
Let s be 4/3*12/(-8). Let b be (0 - s)*(-5)/(-2). Suppose -3*r - i + 285 = 0, -b*i - 95 = -r - 0*i. What is r rounded to the nearest ten?
100
Suppose 24*o - 77040535 + 272751079 = 0. Let h = -16324606 - o. Round h to the nearest 1000000.
-8000000
Let n be (108/(-10))/(-4 + 348/90). Let z = n + -197. Let q be 1/(4 + 468/z). Round q to the nearest ten.
-30
Let r = 119532471318364.06339717 - 119557718109642.0634. Let v = r - -25246790864. Let n = v + 414. What is n rounded to 6 dps?
-0.000003
Suppose z - 1017 = -5*m + 1532, 2*m = 12. Round z to the nearest one hundred.
2500
Let m = 1113447846 - 1113447841.00000061. Let j = -5.195 + 10.195. Let k = j - m. What is k rounded to seven decimal places?
0.0000006
Let p = 350 + -168. Let n = -48 + p. Let h = n - 134.57. Round h to one decimal place.
-0.6
Let c = -6115 + 4198. Let w = 1916.998483 + c. Round w to four decimal places.
-0.0015
Suppose -9*m + 4*m = -25. Suppose 0 = -m*t + 352415 + 2622585. What is t rounded to the nearest 100000?
600000
Let z = -6554.9948371 - -6555. Round z to four dps.
0.0052
Let p = 149290811770600.8999874 + -149290879703445. Let y = 67932858 + p. Let q = y + -13.9. Round q to six dps.
-0.000013
Let i = 2.57705766 - 2.577. Round i to 6 dps.
0.000058
Let h = 36.1 - 5.1. Let d = 0.2773 + 30.3827. Let v = d - h. What is v rounded to zero decimal places?
0
Let t = -279791 + 279791.166269. What is t rounded to 2 dps?
0.17
Let b = 28971343.93718265332 - 28724.21718052332. Let o = 28942621.4 - b. Let x = 1.68 - o. Round x to 7 decimal places.
0.0000021
Let h = 11 + -8. Let y = 0.03249 + -3.03225. Let v = y + h. Round v to 4 dps.
0.0002
Let q(l) = 6*l - 36. Let t be q(7). Suppose -3*a = -t*a - c - 185700004, 5*a + 5*c = -309500020. What is a rounded to the nearest 1000000?
-62000000
Let s = -11.19 + 1338.19. Let u = -353 + s. Let w = 974.689 - u. What is w rounded to 1 decimal place?
0.7
Let l = -42811665 - 22334335. What is l rounded to the nearest one hundred thousand?
-65100000
Let q(u) = -5028*u**2 - 20*u + 112. Let o = -840 - -818. Let k be q(o). Round k to the nearest 100000.
-2400000
Suppose 5*z - 2*d = -7*d - 14805, 0 = -4*z - 3*d - 11843. Let k = z - -5108. Round k to the nearest one hundred.
2100
Let j = -5854751482.00000095 + 5854751350. Let c = -132 - j. What is c rounded to seven dps?
0.000001
Let u = -140801 + 140790.00108. Let k = -11.01 - -0.01. Let f = k - u. Round f to four dps.
-0.0011
Let v = 13691.78 - 13189. What is v rounded to the nearest ten?
500
Let z = 31 + -39.6. Let f = -2813 - -2804.606. Let l = f - z. What is l rounded to 2 dps?
0.21
Let x = -0.0097581026 - -13.0097615226. Let y = x - 13. Round y to seven dps.
0.0000034
Let t = -27.779395 + -27394931.220605. Let u = 27394817.99897 + t. Let x = u + 141. What is x rounded to four dps?
-0.001
Suppose -2*f + 345 = 13*f. Suppose 79860000 = 34*z - f*z. What is z rounded to the nearest one hundred thousand?
7300000
Let c be (-3)/(-1) + 912670111/47. Suppose -17781484 = 4*x + c. What is x rounded to the nearest 1000000?
-9000000
Let s = -13463176 + 8072676. What is s rounded to the nearest 10000?
-5390000
Let k = 424 + -495.7. Let j = -69.415 - k. Round j to one decimal place.
2.3
Let k = 134049.00055681 - 134049. Round k to 4 decimal places.
0.0006
Let l = -7 - -2. Let s = l + -25. Let z = 30.75 + s. Round z to 1 dp.
0.8
Let w = 2794.00000439 - 2794. What is w rounded to six dps?
0.000004
Let x = 744 + -744.034. Let w = -0.009 - 0.038. Let f = w + x. What is f rounded to two decimal places?
-0.08
Let a = 234.32 + -234.13141. What is a rounded to three decimal places?
0.189
Let g = 1260.06 - 1247. Let d = 13 - g. Let c = 0.1016 + d. What is c rounded to two decimal places?
0.04
Let g = 42.062 + -0.062. Let n = 41.914 - g. Let u = -0.0727 - n. What is u rounded to 3 dps?
0.013
Let w = 783.38 - 696.1. Round w to zero dps.
87
Let g = 6.13 - 4.8. Let a = g - 1.329999415. What is a rounded to 7 decimal places?
0.0000006
Let p(y) = 2*y - 10. Suppose -3*m = -a + 5*a - 30, 2*m = a + 9. Let f be p(m). Suppose 3*h - f + 47 = 0. What is h rounded to the nearest 10?
-20
Let u = 15491 + -15491.05288. What is u rounded to 2 dps?
-0.05
Let l = -2574 + 2573.999995306. What is l rounded to seven decimal places?
-0.0000047
Let i be (2 + 4435599/2)/(3/(-30)). Let g = i + 32648712. Suppose 8*m - 7849303 - g = 0. What is m rounded to the nearest 100000?
2300000
Suppose 0 = 5*r - 4*c - 5652600, -4*r + 1710*c - 1714*c + 4522080 = 0. What is r rounded to the nearest 10000?
1130000
Let h = 451 - 450.966. Let f = h - -0.1348. Round f to two decimal places.
0.17
Let z = -788032.7470799802 + 1.7587799802. Let l = -787807 - z. Let g = l + -224. Round g to 3 dps.
-0.012
Let b(z) = -12*z**3 + 13*z**2 - 18*z + 84. Let w(q) = 18*q**3 - 20*q**2 + 27*q - 126. Let n(j) = 8*b(j) + 5*w(j). Let f be n(-10). Round f to the nearest 100.
6500
Let i = -467604 + 1555604. What is i rounded to the nearest one hundred thousand?
1100000
Let a = 44.3402 - 44.3. Let o = a - -75.7598. What is o rounded to zero dps?
76
Let l = 0.06437804 + 49.93562096. Let k = -50 + l. Round k to 7 decimal places.
-0.000001
Let q = -171264711.96 + 171264475.95999926. Let k = 236 + q. What is k rounded to 7 decimal places?
-0.0000007
Let j = 1.06009599 - -0.04327141. Let y = 1.103 - j. Round y to five decimal places.
-0.00037
Let k = 1260.1 + -1200. Let t = -60.1263 + k. What is t rounded to two decimal places?
-0.03
Let q = 0.01958 + 13.32642. What is q rounded to 1 dp?
13.3
Let a = 2770216 - 2769943.9322. Let i = a - 0.0678. Let n = i - 272.0000157. Round n to five dps.
-0.00002
Let v = -28.96599 + 29.186. What is v rounded to 3 decimal places?
0.22
Let c = -10.26604653 - -10.266. What is c rounded to 5 decimal places?
-0.00005
Let s = 888.79 - 0.79. Let q = -889.122 + s. What is q rounded to one dp?
-1.1
Let d = -47592 + 47592.00043258. Round d to four decimal places.
0.0004
Let l = -802.969 - -1.969. Let i = l - -800.99999431. What is i rounded to 7 dps?
-0.0000057
Let p = 567.5 - 567.499999881. What is p rounded to seven decimal places?
0.0000001
Let w = 19444.184 + -19443. Round w to 1 dp.
1.2
Let z = 1371 - -1281. Let v = z - 2639.97. What is v rounded to 0 dps?
12
Let y = -84 - -91. Suppose y*w - 537 = 898. Round w to the nearest 10.
210
Let a(z) = -z - 5. Let u be a(-7). Let t be u/4 - (-2880012)/8. Suppose 5*p + t = d, 3*p + 5*d = 2*p - 71990. Round p to the nearest 10000.
-70000
Let u = -65905.9900088 + 65868.99. Let d = -10 - -47. Let g = u + d. What is g rounded to six decimal places?
-0.000009
Let h = 0.25 + 84.75. Let p = 196 + h. Let g = p + -280.9999746. Round g to 6 dps.
0.000025
Let v = -0.10021 + 0.100189791. What is v rounded to five decimal places?
-0.00002
Let o = 2014.8 - 2157.694. Let a = 0.106 - o. Let l = -142.695 + a. Round l to two decimal places.
0.31
Let s be 2 + -7 + 4 + -4 + -13. Let y be (-8)/(-36) + (-21020)/s. Let d = y - 2128. What is d rounded to the nearest one hundred?
-1000
Let f = 99.53 - -0.47. Let c = f + -38.85. Let m = c + -63. Round m to one dp.
-1.9
Let u = -1221467 + 1221559.00215. Let z = 7.6 + -99.6. Let q = u + z. Round q to three dps.
0.002
Let m(z) = z**2 - 6*z - 18. Let w be m(-2). Let f(i) = 384*i - 2. Let r be f(w). What is r rounded to the nearest 100?
-800
Let o = -11210 - -11204.271. Round o to zero dps.
-6
Let n = 174.68086 + -130.6818. Let x = 0.037 - -43.963. Let i = x - n. Round i to 4 dps.
0.0009
Suppose 207*w + 4540780 - 28452529 = 123184521. Round w to the nearest 1000.
711000
Let a = 695 + -11. Let m = 599 + a. Let t = -1283.000000933 + m. Round t | {
"pile_set_name": "DM Mathematics"
} |
f 1743, 3493, 5243, 6993?
1750*f - 7
What is the q'th term of -442, -422, -396, -364, -326, -282, -232?
3*q**2 + 11*q - 456
What is the t'th term of -4147112, -4147123, -4147148, -4147193, -4147264, -4147367?
-t**3 - t**2 - t - 4147109
What is the d'th term of -20478, -40963, -61448, -81933?
-20485*d + 7
What is the o'th term of -460, -894, -1328, -1762?
-434*o - 26
What is the q'th term of -221, -886, -1993, -3542, -5533, -7966?
-221*q**2 - 2*q + 2
What is the f'th term of 1938, 3907, 5872, 7833, 9790?
-2*f**2 + 1975*f - 35
What is the i'th term of -5, 72, 173, 298, 447?
12*i**2 + 41*i - 58
What is the k'th term of -247490, -247480, -247456, -247412, -247342, -247240?
k**3 + k**2 - 247492
What is the o'th term of 133, 942, 3117, 7336, 14277, 24618, 39037, 58212?
113*o**3 + 5*o**2 + 3*o + 12
What is the p'th term of -4160, -8332, -12526, -16754, -21028, -25360, -29762, -34246?
-2*p**3 + p**2 - 4161*p + 2
What is the w'th term of 4099, 4125, 4153, 4183, 4215, 4249?
w**2 + 23*w + 4075
What is the a'th term of 6633, 26563, 59779, 106281?
6643*a**2 + a - 11
What is the b'th term of 10503, 10492, 10459, 10392, 10279, 10108?
-2*b**3 + b**2 + 10504
What is the n'th term of -70, -139, -168, -139, -34, 165, 476?
3*n**3 + 2*n**2 - 96*n + 21
What is the p'th term of 101, 421, 991, 1841, 3001, 4501, 6371?
5*p**3 + 95*p**2 + 1
What is the i'th term of 110, 220, 336, 458, 586?
3*i**2 + 101*i + 6
What is the z'th term of -353, -752, -1193, -1676?
-21*z**2 - 336*z + 4
What is the l'th term of -696, -2506, -5428, -9462?
-556*l**2 - 142*l + 2
What is the f'th term of -74, -298, -690, -1262, -2026, -2994, -4178, -5590?
-2*f**3 - 72*f**2 + 6*f - 6
What is the c'th term of -2277, -4532, -6763, -8958, -11105, -13192, -15207?
2*c**3 - 2269*c - 10
What is the r'th term of 286, 639, 992?
353*r - 67
What is the w'th term of 160, 157, 154, 151?
-3*w + 163
What is the o'th term of 75555, 151111, 226667?
75556*o - 1
What is the z'th term of 4901, 19039, 42603, 75593, 118009, 169851?
4713*z**2 - z + 189
What is the i'th term of -653, -687, -793, -1007, -1365, -1903, -2657?
-6*i**3 + 8*i - 655
What is the p'th term of -38, -110, -208, -344, -530?
-2*p**3 - p**2 - 55*p + 20
What is the b'th term of 9989, 9981, 9973, 9965, 9957?
-8*b + 9997
What is the s'th term of -1107, -1248, -1389, -1530?
-141*s - 966
What is the v'th term of -1119, -4469, -10061, -17901, -27995, -40349?
-v**3 - 1115*v**2 + 2*v - 5
What is the d'th term of -3196, -6394, -9588, -12778, -15964?
2*d**2 - 3204*d + 6
What is the h'th term of 8720, 8691, 8662, 8633, 8604, 8575?
-29*h + 8749
What is the k'th term of -77, -229, -463, -767, -1129?
2*k**3 - 53*k**2 - 7*k - 19
What is the d'th term of 2825, 3120, 3415, 3710?
295*d + 2530
What is the w'th term of 1111, 1187, 1235, 1249, 1223?
-w**3 - 8*w**2 + 107*w + 1013
What is the u'th term of -36310, -72634, -108958?
-36324*u + 14
What is the a'th term of 1104, 1222, 1418, 1692?
39*a**2 + a + 1064
What is the c'th term of 24215, 48415, 72615, 96815?
24200*c + 15
What is the a'th term of 198, -245, -984, -2019?
-148*a**2 + a + 345
What is the m'th term of -1007, -1000, -993, -986, -979?
7*m - 1014
What is the d'th term of 2364, 2371, 2366, 2349, 2320?
-6*d**2 + 25*d + 2345
What is the h'th term of -34, -131, -316, -613, -1046, -1639?
-4*h**3 - 20*h**2 - 9*h - 1
What is the p'th term of -16699, -16696, -16693?
3*p - 16702
What is the i'th term of -59, -109, -145, -161, -151, -109, -29?
i**3 + i**2 - 60*i - 1
What is the h'th term of 75, 157, 253, 369, 511?
h**3 + h**2 + 72*h + 1
What is the j'th term of -852372, -852386, -852410, -852450, -852512, -852602, -852726, -852890?
-j**3 + j**2 - 10*j - 852362
What is the g'th term of 8157, 16323, 24489, 32655, 40821?
8166*g - 9
What is the c'th term of 116, 73, 18, -43, -104, -159, -202?
c**3 - 12*c**2 - 14*c + 141
What is the q'th term of 3572, 14343, 32304, 57461, 89820, 129387, 176168?
q**3 + 3589*q**2 - 3*q - 15
What is the q'th term of -16, -81, -130, -157, -156, -121?
q**3 + 2*q**2 - 78*q + 59
What is the y'th term of -1882, -1846, -1794, -1720, -1618, -1482, -1306, -1084?
y**3 + 2*y**2 + 23*y - 1908
What is the v'th term of 29373, 58750, 88131, 117516, 146905?
2*v**2 + 29371*v
What is the t'th term of 73, 80, 41, -68, -271, -592, -1055, -1684?
-4*t**3 + t**2 + 32*t + 44
What is the v'th term of 3037, 6065, 9089, 12109, 15125, 18137?
-2*v**2 + 3034*v + 5
What is the d'th term of 64, -189, -766, -1667, -2892, -4441, -6314?
-162*d**2 + 233*d - 7
What is the u'th term of -2346, -4711, -7104, -9537, -12022?
-2*u**3 - 2*u**2 - 2345*u + 3
What is the t'th term of 168, 411, 650, 885?
-2*t**2 + 249*t - 79
What is the j'th term of 449, -86, -1543, -4384, -9071, -16066, -25831?
-77*j**3 + j**2 + j + 524
What is the o'th term of 18, -60, -158, -246, -294, -272, -150, 102?
5*o**3 - 40*o**2 + 7*o + 46
What is the h'th term of -5915, -5919, -5937, -5975, -6039, -6135, -6269?
-h**3 - h**2 + 6*h - 5919
What is the x'th term of -3242, -3251, -3260?
-9*x - 3233
What is the d'th term of -354, -689, -1012, -1323, -1622, -1909, -2184?
6*d**2 - 353*d - 7
What is the z'th term of -476615, -953222, -1429829, -1906436?
-476607*z - 8
What is the r'th term of 3384, 6812, 10240, 13668?
3428*r - 44
What is the t'th term of -953, -938, -917, -890, -857, -818, -773?
3*t**2 + 6*t - 962
What is the q'th term of -1227, -1202, -1139, -1020, -827, -542, -147, 376?
3*q**3 + q**2 + q - 1232
What is the p'th term of 393994, 787991, 1181998, 1576021, 1970066, 2364139?
p**3 - p**2 + 393993*p + 1
What is the b'th term of 1725, 3451, 5177, 6903?
1726*b - 1
What is the s'th term of -5623, -5736, -5849?
-113*s - 5510
What is the a'th term of 2748, 9883, 21782, 38451, 59896, 86123, 117138?
a**3 + 2376*a**2 + 371
What is the o'th term of 86, 415, 992, 1835, 2962, 4391?
3*o**3 + 106*o**2 - 10*o - 13
What is the q'th term of -787, -1709, -4213, -9091, -17135, -29137, -45889, -68183?
-132*q**3 + q**2 - q - 655
What is the y'th term of -6, 131, 426, 879, 1490?
79*y**2 - 100*y + 15
What is the g'th term of -2272, -4304, -6346, -8404, -10484, -12592?
-g**3 + g**2 - 2028*g - 244
What is the p'th term of 17, 83, 233, 509, 953, 1607?
7*p**3 + 17*p - 7
What is the v'th term of 17378, 17380, 17382, 17384, 17386, 17388?
2*v + 17376
What is the m'th term of 11, -7, -23, -37, -49, -59, -67?
m**2 - 21*m + 31
What is the z'th term of 2767, 5561, 8343, 11107, 13847, 16557, 19231, 21863?
-z**3 + 2801*z - 33
What is the s'th term of 55382, 110763, 166144, 221525?
55381*s + 1
What is the o'th term of 2700, 5218, 7760, 10338, 12964?
2*o**3 + 2504*o + 194
What is the q'th term of 475, 968, 1453, 1924, 2375, 2800, 3193?
-q**3 + 2*q**2 + 494*q - 20
What is the c'th term of 144879, 144880, 144881, 144882, 144883?
c + 144878
What is the u'th term of 184, 304, 464, 664, 904?
20*u**2 + 60*u + 104
What is the y'th term of -5981, -5784, -5457, -5000?
65*y**2 + 2*y - 6048
What is the o'th term of -16, -94, -298, -688, -1324, -2266, -3574, -5308?
-10*o**3 - 3*o**2 + o - 4
What is the s'th term of 935, 998, 1061, 1124, 1187?
63*s + 872
What is the w'th term of -3336, -6612, -9876, -13122, -16344, -19536, -22692, -25806?
w**3 - 3283*w - 54
What is the v'th term of 148, -185, -730, -1487, -2456, -3637, -5030?
-106*v**2 - 15*v + 269
What is the q'th term of 9955, 9977, 9999, 10021?
22*q + 9933
What is the b'th term of -269, -335, -457, -647, -917?
-2*b**3 - 16*b**2 - 4*b - 247
What is the n'th term of -92, -147, -160, -125, -36, 113, 328, 615?
n**3 + 15*n**2 - 107*n - 1
What is the j'th term of -564133, -564134, -564135?
-j - 564132
What is the s'th term of 732, 523, 314, 105, -104?
-209*s + 941
What is the b'th term of -4747, -9455, -14163, -18871?
-4708*b - 39
What is the d'th term of 100, -201, -676, -1319, -2124, -3085, -4196?
d**3 - 93*d**2 - 29*d + 221
What is the t'th term of -1159, -1109, -1035, -943, -839, -729, -619?
-t**3 + 18*t**2 + 3*t - 1179
What is the j'th term of 978, 1047, 1160, 1317, 1518, 1763?
22*j**2 + 3*j + 953
What is the m'th term of 2150, 3832, 5512, 7190, 8866, 10540, 12212?
-m**2 + 1685*m + 466
What is the c'th term of -3650, -3627, -3618, -3623, -3642?
-7*c**2 + 44*c - 3687
What is the w'th term of 473105, 473108, 473113, 473120, 473129, 473140?
w**2 + 473104
What | {
"pile_set_name": "DM Mathematics"
} |
+ 3215 = t. What is the highest common factor of h and 37?
37
Let t(u) = -13*u**3 + 3*u**2 + 2*u - 1. Let p(w) = -w**3 + 5*w**2 - 1. Let y be p(5). Let b be t(y). Calculate the highest common divisor of 1 and b.
1
Suppose 5*k - 388 = m, 3*k + k + m = 314. Suppose -2*x = -s - 20, 3*s - 30 = 5*x - k. Calculate the greatest common divisor of 156 and x.
12
Let i(r) = 45*r**2 - 5*r - 4. Let s be i(-3). Suppose 5*u - 7*u - 2*n = -160, 5*u + n = s. Calculate the greatest common factor of u and 210.
42
Let m(n) = -n**3 - 8*n**2 - 10*n + 1. Let o be m(-7). Calculate the greatest common divisor of 10648 and o.
22
Suppose 0 = -42*r + 1087 + 1433. Let c = -83 + 323. What is the highest common factor of r and c?
60
Suppose -10*v = -8*v - 10. Let x = -95 + 239. Let l be 176/18 + 32/x. What is the highest common factor of v and l?
5
Let c = 139 + -30. Suppose 5*a = -3*u + c, -u - 37*a = -33*a - 48. What is the greatest common factor of u and 8?
4
Suppose 35 = -18*u + 23*u. Suppose u*n - 456 = -n. What is the highest common divisor of n and 19?
19
Let y(w) = 4*w + 3. Let h be y(7). Suppose 132 = 87*g - 99*g. Let x = h + g. What is the highest common factor of 30 and x?
10
Let v be 235/45 - 5 - ((-92793)/27 - -3). What is the greatest common divisor of v and 34?
34
Suppose 2*b + r = 0, 5*b + 13 = 4*r + 26. Suppose 4*x = -13 + 77. What is the greatest common divisor of b and x?
1
Suppose -32 = -5*f - 3*c, -12 = -c - 2*c. Suppose 3 - 11 = -f*a. Calculate the highest common factor of a and 36.
2
Let r(g) = 2*g**3 - 2*g**2 + g + 144. Let c = -287 + 287. Let v be r(c). What is the highest common factor of v and 27?
9
Suppose -l + 121 = 3*r, 378 = -0*l + 3*l + 4*r. Let z = -22 + l. Suppose 5*n - 12 = z. What is the highest common factor of n and 60?
12
Let t(y) = -53*y - 2835. Let g be t(-55). What is the greatest common factor of g and 556?
4
Suppose -9*x + x = -768. Suppose 19*z - x = 11*z. Calculate the greatest common divisor of z and 48.
12
Let a(d) be the second derivative of -13/6*d**3 - 38*d - d**2 + 0. Let l be a(-2). Calculate the highest common divisor of 60 and l.
12
Suppose 0 = -84*w + 95*w - 2783. Calculate the greatest common factor of 66 and w.
11
Let s(m) = 9*m**2 - 2*m - 2. Let u be s(-3). Suppose 847*x = 834*x + 65. Calculate the highest common divisor of u and x.
5
Let v(a) = -6*a**2 - 4*a + 20. Let i be v(-10). Let r = i + 562. Calculate the greatest common factor of r and 814.
22
Suppose -5*n - 6 + 16 = 0. Suppose -w - 4 = n*p - 7, 24 = p - 4*w. Suppose 12 = p*k, -4*k = -7*h + 3*h + 12. Calculate the greatest common divisor of 3 and h.
3
Let v = -207 - -109. Let g = v + 97. Let m = 98 - g. What is the highest common divisor of 9 and m?
9
Let j be (535/10)/((-1)/2). Let r = 118 + j. What is the greatest common factor of r and 253?
11
Suppose 4*f - 6 = -2*k, 4*k - 4*f = -f + 56. Let n be 9*4/24 + (-26279)/(-22) - -3. Calculate the highest common divisor of n and k.
11
Let w = -209 - 162. Let d = w + 1211. Suppose 18*q - d = 6*q. What is the greatest common factor of 10 and q?
10
Let g = -969 + 1515. Let d = 564 - g. Calculate the highest common divisor of d and 12.
6
Suppose 0 = h + 8 - 2. Let d(y) = -y**2 - 8*y - 8. Let s be d(h). Suppose -x - 7 - 9 = -a, 0 = -s*x + 8. What is the highest common factor of a and 45?
9
Let h be 1*(-15)/(-20)*236. Suppose h = 4*g - 75. Calculate the greatest common divisor of g and 18.
9
Let n be (336/(-210))/((-2)/15). Let k be 8/6 - (-20)/n. What is the highest common factor of 69 and k?
3
Let t(b) = 2*b**2 - 9*b - 50. Let d be t(8). Let n be ((-4)/d)/((-20)/570). What is the greatest common factor of n and 38?
19
Suppose 5*l = -15 + 5. Let h be (-1)/(-3 + (l - -4)). Suppose 2 = 2*b + 2*s - 30, -s = -h. What is the greatest common divisor of b and 6?
3
Suppose 4*c - 154 = -142. Suppose 3*t = -l + 7*t + c, -5*t = l - 30. Calculate the highest common divisor of l and 10.
5
Let d = -1119 + 1768. What is the highest common divisor of d and 44?
11
Suppose 0 = 2*m + 4, r + 293 = -3*m + 662. What is the highest common factor of 36375 and r?
375
Let w(l) = -55*l + 34*l**2 + 1913*l**3 + 4 - 1914*l**3 - 6*l + 40. Let v be w(32). Calculate the greatest common divisor of v and 14.
14
Suppose 0 = -379*y + 12351 - 4392. Calculate the highest common factor of y and 9149.
7
Suppose -16*m + 1212 = -180. What is the greatest common factor of 9 and m?
3
Suppose 0 = 3*g - 3, -v - 12 = -g - 51. Let r = 2 + v. Calculate the greatest common divisor of r and 105.
21
Let q(j) = -2*j**2 - 14*j + 17. Let n be q(-7). Suppose 748 = 14*h - 10*h. Calculate the greatest common divisor of h and n.
17
Suppose -4*a + 28 = 2*h, -3*a - h + 0*h + 22 = 0. Let p = 115 - 100. Let g be (p/(-3))/(-10) - (-46)/4. What is the greatest common divisor of a and g?
4
Let w = 5023 - 4998. What is the greatest common factor of w and 1975?
25
Suppose 3*l - 143 = -h, 8*h - 635 = 3*h + l. Let n be h/12*(13 - 1). Calculate the greatest common divisor of 16 and n.
16
Let n(j) = -40*j + 7. Let f be n(-5). Suppose 0 = 296*w - 1069 - 580 - 684 - 2995. What is the greatest common divisor of f and w?
9
Suppose 5*x = 4 - 39. Let y = x - -19. Suppose 0 = -9*k + 771 + 201. Calculate the greatest common factor of k and y.
12
Let w be 286/4*(1 - -1). Let s be ((-832)/(-40))/(2/(-7) + 624/910). What is the greatest common factor of s and w?
13
Let p be 977/3 - (-2)/(-3). Suppose -53*q - 213 + 902 = 0. What is the greatest common divisor of p and q?
13
Let j(c) be the second derivative of c**4/4 - 2*c**3 - c + 3. Let t be j(-6). Let u = 121 + -1. Calculate the highest common factor of u and t.
60
Let u be ((-2)/6)/(20/(-540)) + -4. Suppose 98 = 4*z + 2*y, 118 = -z + u*z - 2*y. What is the greatest common factor of 135 and z?
27
Let r(s) = -12*s**2 + 9*s - 22. Let b(x) = 10*x**2 - 9*x + 21. Let p(u) = 4*b(u) + 3*r(u). Let o be p(9). Calculate the highest common divisor of 29 and o.
29
Suppose 2*n - 640 - 654 = -4*a, 0 = a + 3*n - 326. What is the highest common factor of 34561 and a?
323
Suppose 2273 - 788 = 41*y - 2205. Calculate the greatest common divisor of y and 4014.
18
Let h = -89094 + 133218. What is the greatest common factor of 12 and h?
12
Suppose o - 173 = 9*c - 12*c, -373 = -2*o + 3*c. Let m = 30 - -9. Calculate the greatest common divisor of m and o.
13
Let b be (-171 - 20)*((-1023)/8 + (-15)/120). Calculate the highest common divisor of b and 191.
191
Suppose 7*x - 14 = -56. Let o be (-5 + -1)*-22 + x. Suppose 2*q = 50 + 118. What is the highest common divisor of q and o?
42
Let p be 9/(-9)*(-1 - 14). Let j be p/(-25) - (-828)/5. Let l = -245 + 260. What is the greatest common divisor of j and l?
15
Suppose -2672 - 30 - 14308 = -42*w. Calculate the highest common divisor of 1125 and w.
45
Let n be 0*(13/52 + (-3)/4). Suppose n = 3*k + y - 96 - 72, 2*k + y - 112 = 0. Calculate the highest common factor of k and 16.
8
Let i(v) = -2*v + 12. Let n be i(4). Let p = n + -4. Suppose 2*g = 5*k - 26, p = -4*k - g - g + 10. Calculate the greatest common factor of k and 18.
2
Suppose -20*y + 9*y = -165. Let l be (-93)/155 + 2709/y. What is the highest common factor of 420 and l?
60
Let u(v) = -2*v + 62. Suppose 0 = -30*l - 10*l - 760. Let c be u(l). Calculate the greatest common divisor of 15 and c.
5
Let a(k) = 2*k - 13. Suppose 0 = -0*u + 7*u - 70. Let l be a(u). Suppose -5*f + l*f = 90. Calculate the highest common factor of 18 and f.
9
Let v = 1186 - 710. Suppose 6*k - v = 148. What is the greatest common factor of k and 156?
52
Suppose -3*w + 2*b = -80, -w = -0*w + 4*b - 50. Let z(q) = q + 14. Let i be z(-12). Suppose i*l - 4*l + 480 = 0. What is the highest common divisor of l and w?
30
Let t(y) = y**3 + 20*y**2 - 91*y + 174. Let o be t(-24). What is the greatest common factor of 88 and o?
2
Suppose 18 = 215*z - 212*z. Let x(t) = -t**2 + 14*t - 12. Let d be x(z). What is the greatest common divisor of 9 and d?
9
Let d(q) = 2*q + 0*q + 13*q**2 + 2 - 8*q**2 + 2. Let l be d(2). Let x = 52 - l. Calculate the greatest common divisor of 12 and x.
12
Let q = -25251 - -25264. Let m = -3 + 4. Let j be m - -5*(5 - 0). Calculate the greatest common divisor of q and j.
13
Let m be ((-1715)/25 - -5)/(21/(-35)). What is the highest common factor of m and 424?
106
Let a = -30368 + | {
"pile_set_name": "DM Mathematics"
} |
80526, -45720784, -60961042, -76201300?
-15240258*r - 10
What is the d'th term of -5500, -10719, -16404, -22789, -30108, -38595, -48484?
-39*d**3 + d**2 - 4949*d - 513
What is the d'th term of -121, -928, -2371, -4450, -7165, -10516?
-318*d**2 + 147*d + 50
What is the i'th term of -33533, -67041, -100549, -134057?
-33508*i - 25
What is the u'th term of 63779688, 127559374, 191339058, 255118740, 318898420?
-u**2 + 63779689*u
What is the f'th term of 4192, 10818, 17444, 24070, 30696, 37322?
6626*f - 2434
What is the d'th term of 59669, 91604, 123539, 155474, 187409?
31935*d + 27734
What is the a'th term of -103541, -207048, -310567, -414098, -517641, -621196?
-6*a**2 - 103489*a - 46
What is the q'th term of 2348, -2738, -7824?
-5086*q + 7434
What is the m'th term of -677261, -2708948, -6095099, -10835720, -16930817, -24380396, -33184463?
-m**3 - 677226*m**2 - 2*m - 32
What is the n'th term of 2902, 2801, 2676, 2527, 2354, 2157?
-12*n**2 - 65*n + 2979
What is the n'th term of -544, -4301, -8060, -11821?
-n**2 - 3754*n + 3211
What is the w'th term of 18999, 37731, 56463, 75195?
18732*w + 267
What is the u'th term of -27938239, -55876472, -83814705, -111752938, -139691171, -167629404?
-27938233*u - 6
What is the l'th term of -45248, -51105, -56962, -62819, -68676?
-5857*l - 39391
What is the t'th term of -144334, -144758, -145182, -145606, -146030, -146454?
-424*t - 143910
What is the p'th term of -4226, -8284, -12170, -15884, -19426, -22796?
86*p**2 - 4316*p + 4
What is the o'th term of -6935, -13928, -20899, -27842, -34751, -41620, -48443?
o**3 + 5*o**2 - 7015*o + 74
What is the a'th term of 1344, 6503, 15098, 27123, 42572?
-a**3 + 1724*a**2 - 6*a - 373
What is the j'th term of 7919127, 15838226, 23757315, 31676388, 39595439, 47514462, 55433451, 63352400?
-j**3 + j**2 + 7919103*j + 24
What is the q'th term of -19042669, -38085345, -57128021, -76170697, -95213373, -114256049?
-19042676*q + 7
What is the c'th term of 565223, 565240, 565259, 565280, 565303?
c**2 + 14*c + 565208
What is the c'th term of -747, -3489, -8213, -14913, -23583, -34217, -46809?
c**3 - 997*c**2 + 242*c + 7
What is the n'th term of 706572, 707627, 709386, 711849, 715016, 718887, 723462?
352*n**2 - n + 706221
What is the l'th term of -6, -615, -1624, -3033, -4842, -7051?
-200*l**2 - 9*l + 203
What is the v'th term of 1474769367, 1474769366, 1474769365, 1474769364?
-v + 1474769368
What is the w'th term of -54347, -103600, -152853, -202106, -251359?
-49253*w - 5094
What is the t'th term of -1110717, -1110723, -1110735, -1110753, -1110777, -1110807?
-3*t**2 + 3*t - 1110717
What is the f'th term of 18614, 37544, 56828, 76466?
177*f**2 + 18399*f + 38
What is the d'th term of -65189, -67682, -70175?
-2493*d - 62696
What is the r'th term of -50068, -49972, -49810, -49582, -49288, -48928?
33*r**2 - 3*r - 50098
What is the i'th term of 538620, 538571, 538522, 538473, 538424?
-49*i + 538669
What is the y'th term of -4391, -8373, -12343, -16301?
6*y**2 - 4000*y - 397
What is the x'th term of 85137, 170493, 255849, 341205, 426561?
85356*x - 219
What is the b'th term of 13801015, 13801016, 13801017, 13801018, 13801019, 13801020?
b + 13801014
What is the j'th term of -742040, -742012, -741984, -741956?
28*j - 742068
What is the x'th term of -70709763, -70709762, -70709761, -70709760, -70709759?
x - 70709764
What is the g'th term of 181, 782, 1799, 3238, 5105, 7406, 10147?
g**3 + 202*g**2 - 12*g - 10
What is the u'th term of -215981, -1728054, -5832247, -13824620, -27001233, -46658146, -74091419?
-216010*u**3 - 3*u + 32
What is the u'th term of -186475, -186463, -186445, -186421, -186391, -186355?
3*u**2 + 3*u - 186481
What is the m'th term of -52264, -59321, -66378, -73435?
-7057*m - 45207
What is the x'th term of -209970, -209984, -210004, -210030?
-3*x**2 - 5*x - 209962
What is the l'th term of -36263, -145464, -327473, -582290, -909915, -1310348, -1783589?
-36404*l**2 + 11*l + 130
What is the k'th term of 4629067, 4629051, 4629011, 4628935, 4628811?
-2*k**3 - 2*k + 4629071
What is the g'th term of -16462, -16375, -16108, -15571, -14674?
15*g**3 - 18*g - 16459
What is the b'th term of 864850, 1729667, 2594454, 3459211, 4323938, 5188635, 6053302?
-15*b**2 + 864862*b + 3
What is the b'th term of 141309, 141115, 140793, 140343, 139765, 139059?
-64*b**2 - 2*b + 141375
What is the j'th term of -278, -1332, -4240, -9944, -19386, -33508?
-157*j**3 + 15*j**2 - 136
What is the v'th term of 32722, 65470, 98240, 131032, 163846, 196682?
11*v**2 + 32715*v - 4
What is the w'th term of 35363291, 70726581, 106089871, 141453161, 176816451, 212179741?
35363290*w + 1
What is the z'th term of -14452, -16323, -18192, -20059, -21924, -23787?
z**2 - 1874*z - 12579
What is the y'th term of -51073, -50224, -48801, -46798, -44209, -41028, -37249?
y**3 + 281*y**2 - y - 51354
What is the h'th term of -8077884, -16155766, -24233648, -32311530, -40389412, -48467294?
-8077882*h - 2
What is the m'th term of 793209, 793005, 792801?
-204*m + 793413
What is the z'th term of 99022066, 198044135, 297066204?
99022069*z - 3
What is the g'th term of 291, 886, 1507, 2154, 2827?
13*g**2 + 556*g - 278
What is the s'th term of -39563, -38052, -35533, -32006?
504*s**2 - s - 40066
What is the z'th term of 5910, 5702, 5352, 4860, 4226, 3450?
-71*z**2 + 5*z + 5976
What is the n'th term of 11774, 14887, 23340, 39803, 66946?
445*n**3 - 2*n + 11331
What is the u'th term of -10376, -12513, -14640, -16757, -18864?
5*u**2 - 2152*u - 8229
What is the h'th term of 75002904, 75002887, 75002870, 75002853, 75002836?
-17*h + 75002921
What is the d'th term of 829874, 1659723, 2489498, 3319163, 4148682?
-6*d**3 - d**2 + 829894*d - 13
What is the z'th term of -5558855, -11117706, -16676557, -22235408, -27794259?
-5558851*z - 4
What is the z'th term of -889, -1828, -2841, -3958, -5209, -6624?
-5*z**3 - 7*z**2 - 883*z + 6
What is the c'th term of 13110, 13589, 14070, 14553, 15038, 15525?
c**2 + 476*c + 12633
What is the v'th term of -592911, -2371650, -5336209, -9486588, -14822787, -21344806?
-592910*v**2 - 9*v + 8
What is the o'th term of -16094, -63797, -143298, -254591, -397670, -572529, -779162, -1017563?
o**3 - 15905*o**2 + 5*o - 195
What is the d'th term of -1967363, -1967289, -1967215?
74*d - 1967437
What is the p'th term of -83467, -85080, -87763, -91510, -96315, -102172, -109075?
p**3 - 541*p**2 + 3*p - 82930
What is the l'th term of 38688, 83325, 127962, 172599, 217236, 261873?
44637*l - 5949
What is the w'th term of 52064, 52092, 52166, 52310, 52548?
4*w**3 - w**2 + 3*w + 52058
What is the x'th term of -22187079, -22187080, -22187081, -22187082, -22187083, -22187084?
-x - 22187078
What is the b'th term of 1907515, 3815034, 5722553?
1907519*b - 4
What is the h'th term of -37355, -36563, -35239, -33383, -30995?
266*h**2 - 6*h - 37615
What is the c'th term of -10933601, -10933605, -10933609, -10933613, -10933617?
-4*c - 10933597
What is the y'th term of -579657, -2318612, -5216877, -9274458, -14491361, -20867592?
-y**3 - 579649*y**2 - y - 6
What is the j'th term of -395663, -791321, -1186979, -1582637?
-395658*j - 5
What is the w'th term of 35333, 141338, 318029, 565418, 883517?
2*w**3 + 35331*w**2 - 2*w + 2
What is the h'th term of -4226, -29188, -95624, -224270, -435862, -751136, -1190828?
-3456*h**3 - h**2 - 767*h - 2
What is the f'th term of -1242, -1232, -1034, -642, -50, 748, 1758?
f**3 + 88*f**2 - 261*f - 1070
What is the f'th term of 10838, 42256, 94256, 166838?
10291*f**2 + 545*f + 2
What is the c'th term of -1135872, -1136235, -1136840, -1137687?
-121*c**2 - 1135751
What is the c'th term of -1600, -5401, -11558, -20071, -30940, -44165?
-1178*c**2 - 267*c - 155
What is the h'th term of 57523, 114871, 172245, 229645, 287071?
13*h**2 + 57309*h + 201
What is the s'th term of 713, 947, 1187, 1433?
3*s**2 + 225*s + 485
What is the a'th term of 21094, 42305, 63516, 84727?
21211*a - 117
What is the x'th term of 9240, 9180, 9032, 8760, 8328?
-6*x**3 - 8*x**2 + 6*x + 9248
What is the g'th term of 30921727, 30921737, 30921755, 30921781, 30921815?
4*g**2 - 2*g + 30921725
What is the w'th term of 3984147, 15936558, 35857243, 63746202?
3984137*w**2 + 10
What is the m'th term of 96352408, 192704816, 289057224, 385409632?
96352408*m
What is the | {
"pile_set_name": "DM Mathematics"
} |
e the first derivative of b(j). What is s in z(s) = 0?
-1, 1, 2
Suppose -2*w - 12 = -5*w. Let m be ((-1)/(-4))/(w*(-3)/(-72)). Let 9/2 + m*c**2 + 6*c = 0. What is c?
-3, -1
Suppose z - 7 = -5*f, -2*f - 3*f + 3*z = -19. Let 0 - 1/6*h**f - 1/2*h = 0. What is h?
-3, 0
Let s(j) = -j**3 + 6*j**2 - 5*j + 1. Let w be s(5). Let r be (4 + w)*((-16)/(-14))/4. Find a such that -8/7*a**2 + r*a + 2/7*a**3 - 4/7 = 0.
1, 2
Let i(h) be the third derivative of -3/56*h**4 + 0*h + 0 - 3/140*h**5 - 1/280*h**6 - 1/14*h**3 - h**2. Factor i(f).
-3*(f + 1)**3/7
Let u(a) be the first derivative of -5*a**4/3 - 172*a**3/27 + 4*a**2/3 - 235. Factor u(l).
-4*l*(l + 3)*(15*l - 2)/9
Let z(a) = -a**3 + 7*a**2 - 11*a - 1. Let u be z(5). Let r be u + 2 - (-11)/(154/63). Find g, given that -1 + 1/2*g**2 + r*g = 0.
-2, 1
Let l(d) = d**2 + 27*d + 23. Let w(n) = 26*n + 24. Let o(q) = 2*l(q) - 3*w(q). Let o(r) = 0. Calculate r.
-1, 13
Suppose 867*v - 12762 = 1977. Factor 12 - 3/2*z**2 + v*z.
-(z - 12)*(3*z + 2)/2
Suppose 13 = -i + 5*z, 18*z - 22*z = 3*i - 18. Let x(j) be the second derivative of 0*j**i + 0*j**4 + 3/20*j**5 - 2*j**3 + 0 - 11*j. Solve x(o) = 0.
-2, 0, 2
Suppose 4*k - v = 15, 8*k + v = 4*k + 9. Let o(b) be the second derivative of 0*b**k - 3*b + 0 + 0*b**2 + 1/60*b**4. Factor o(h).
h**2/5
Let g = 9634 + -9631. Factor -3/4*f**g - 3/2*f**2 - 3/4*f + 0.
-3*f*(f + 1)**2/4
Let h(j) be the first derivative of 2*j**3 + 5*j**2/2 + 5*j - 53. Let k(r) = 1 + 17 + 4*r + 21*r**2 + 14*r. Let q(x) = 18*h(x) - 5*k(x). What is y in q(y) = 0?
0
Factor 28/9 - 2/9*g**2 + 26/9*g.
-2*(g - 14)*(g + 1)/9
Let j(r) be the second derivative of 2*r**6/135 + 43*r**5/45 + 221*r**4/9 + 8450*r**3/27 + 17576*r**2/9 + 436*r. Factor j(i).
4*(i + 4)*(i + 13)**3/9
Let z(m) = m**2 - 3*m + 14. Let d be z(4). Let c = 23 - d. Solve l**2 - l**4 - 1/3*l**3 - 1/3*l**c + 2/3*l + 0 = 0.
-2, -1, 0, 1
Let a(k) be the third derivative of k**5/630 - k**4/84 - 4*k**3/63 - 29*k**2. Factor a(f).
2*(f - 4)*(f + 1)/21
Let j(y) = 28*y**2 + 752*y + 488. Let a(r) = 9*r**2 + 251*r + 163. Let t(o) = 8*a(o) - 3*j(o). Factor t(z).
-4*(z + 20)*(3*z + 2)
Let g(r) be the second derivative of 1/80*r**5 - 1/8*r**4 + 3/8*r**3 - 1/2*r**2 + 17*r + 0. Factor g(v).
(v - 4)*(v - 1)**2/4
Factor 7*z - 8*z**3 - 2*z**2 - 18*z**2 + z + 18*z**4 + 2*z**4.
4*z*(z - 1)*(z + 1)*(5*z - 2)
Let m(u) = -3*u. Let w be m(-4). Factor -9*d**2 + 12*d**4 - 15*d**4 + w*d**3 + 7 - 7.
-3*d**2*(d - 3)*(d - 1)
Let j(l) = -l**3 + 6*l**2 - 3*l - 9. Let x be j(5). Let v be 2*((-2 - -2) + x). Factor -1/4*h**3 + 1/2*h**v + 0*h + 0 - 1/4*h**4.
-h**2*(h - 1)*(h + 2)/4
Let t = -8731/40 + 1092/5. Factor -1/4*v - t - 1/8*v**2.
-(v + 1)**2/8
Suppose 114 = j + 116. Let f be 2*(-6)/72*j. Find t such that 0*t + f*t**2 - 1/3 = 0.
-1, 1
Let l be (392/312 + -1)*24/40. Solve l*k**4 - 2/13*k**2 + 0 + 6/13*k**3 - 4/13*k - 2/13*k**5 = 0.
-1, 0, 1, 2
Suppose 2*g - 15 = -3*k, 0*g = 5*k - 2*g - 25. Factor 55*m + 92*m**3 + 156*m**3 + 135*m**k + 28*m**4 - 230*m**2 - 5 - 433*m**4 + 202*m**3.
5*(m - 1)**2*(3*m - 1)**3
Factor -16*s + 1/3*s**2 + 192.
(s - 24)**2/3
Determine t, given that 26/11*t**4 + 4/11*t**2 - 12/11*t**5 - 18/11*t**3 + 0*t + 0 = 0.
0, 1/2, 2/3, 1
Find z, given that -131/10*z - 2/5*z**3 - 109/10*z**2 - 13/5 = 0.
-26, -1, -1/4
Let f(m) = 2*m**2 - 17*m + 27. Let c be f(12). Let n be c/(-90) - (-3)/2. Factor -2/15*x**2 + n*x + 2/5.
-2*(x - 3)*(x + 1)/15
Suppose 0 + 0*q**2 + 3*q**3 + 3/2*q**4 + 0*q = 0. Calculate q.
-2, 0
Let t(v) be the second derivative of -v**4/8 - 5*v**3/8 - 3*v**2/4 - 344*v. Solve t(r) = 0 for r.
-2, -1/2
Let c(x) be the third derivative of 1/126*x**4 + 1/90*x**5 + 1/441*x**7 + 1/3528*x**8 + 0*x**3 + 1/140*x**6 - 22*x**2 + 0*x + 0. Factor c(v).
2*v*(v + 1)**3*(v + 2)/21
Let a(k) = -k**3 + 2*k**2 + 5*k - 3. Let j be a(3). Factor 2*v**2 - 8*v**j + 9*v**3 - v**4 + 0*v**2.
-v**2*(v - 2)*(v + 1)
Let r(k) be the second derivative of k**8/560 + k**7/140 - k**6/120 - k**5/20 + 7*k**3/2 - 18*k. Let u(i) be the second derivative of r(i). Factor u(s).
3*s*(s - 1)*(s + 1)*(s + 2)
Let x(s) be the second derivative of -s**4/27 + 28*s**3/27 - 26*s**2/9 - 3*s - 23. Solve x(y) = 0 for y.
1, 13
Let c be (-17)/34 - 2/((-4)/5). Factor 0*l**2 + 99 + l**2 - 6*l - 4*l**c - 90.
-3*(l - 1)*(l + 3)
Factor 19*k + 0*k - 35*k**4 + 35*k**2 - 9*k - 5*k**3 - 5*k**3.
-5*k*(k - 1)*(k + 1)*(7*k + 2)
Suppose 7*n - 3*n = 16. Let j be ((-3)/(-12))/(n/32). Let -l**2 + 4*l**j - 2*l - 4*l + 3*l**3 = 0. What is l?
-2, 0, 1
Suppose -3*s + 4 + 37 = d, -s = 5*d - 163. Let r(i) be the first derivative of -2/3*i**3 - d*i - 3 - 8*i**2. Factor r(t).
-2*(t + 4)**2
Let v(s) be the first derivative of -s**3/2 + 15*s**2/2 - 27*s/2 - 35. Suppose v(j) = 0. Calculate j.
1, 9
Let u(m) = -6*m**3 - 477*m**2 - 10098*m - 9609. Let y(r) = -3*r**3 - 239*r**2 - 5048*r - 4804. Let f(v) = 4*u(v) - 9*y(v). Let f(w) = 0. What is w?
-40, -1
Let t(v) be the third derivative of 1/30*v**6 + 0*v**3 + 0*v**4 + 11*v**2 + 0 + 0*v + 1/15*v**5 + 1/210*v**7. Factor t(u).
u**2*(u + 2)**2
Let t(a) = -4*a**3 - 3*a**2 + 3*a + 6. Let r(j) = -3*j**3 - 2*j**2 + 2*j + 4. Let c(n) = -3*r(n) + 2*t(n). Factor c(f).
f**3
Let r = -34 - -37. Factor r - 2*z**2 - 2*z - 3.
-2*z*(z + 1)
Let g be (2/(-4))/((-2)/12). Let k(j) = j**3 + 23*j**2 + 41*j - 18. Let f be k(-21). Suppose x**3 + 0*x**2 - g*x**2 - 2*x**3 + 4*x**f = 0. Calculate x.
0, 1
Let m(t) = t**4 - t**3. Let r be 23/3 + 10/(-15). Let o(j) = -3*j - 2 - r*j + 6*j + 8*j**4 + 3*j**3 - 5*j**3. Let y(a) = 6*m(a) - o(a). Factor y(d).
-2*(d - 1)*(d + 1)**3
Let s = 2/23671 - -497083/94684. Solve 3/4*f**3 + 9/2*f + 0 + s*f**2 = 0 for f.
-6, -1, 0
Suppose 38 = -18*d + 20*d. Determine t so that -t**3 - 19*t**2 - 2*t**4 - 14*t**4 - d*t**3 - 4*t**5 + 11*t**2 = 0.
-2, -1, 0
Let d(p) be the first derivative of -2*p**6/21 + 2*p**5/5 - 9*p**4/14 + 10*p**3/21 - p**2/7 + 51. Find f, given that d(f) = 0.
0, 1/2, 1
Let c(q) be the second derivative of q**4/12 + q. Let i(k) = 7 + 8*k**2 + 3*k - 5 - 2. Let o(x) = -5*c(x) + i(x). Suppose o(h) = 0. What is h?
-1, 0
Let k(g) be the first derivative of 3/4*g**4 - 15/2*g**2 - 9*g - g**3 + 10. Suppose k(a) = 0. Calculate a.
-1, 3
Let c(t) be the second derivative of t**4/96 + 5*t**3/6 + 39*t**2/16 - 79*t. Factor c(g).
(g + 1)*(g + 39)/8
Let r(j) = -j**2 - 116*j - 2631. Let l be r(-31). Suppose 24 - 136/3*q**2 - 20*q - 8/3*q**l - 20*q**3 = 0. What is q?
-3, -2, 1/2
Let p(x) be the second derivative of x**7/1365 - 7*x**6/780 + x**5/26 - 3*x**4/52 + 5*x**2 + x. Let b(m) be the first derivative of p(m). Factor b(c).
2*c*(c - 3)**2*(c - 1)/13
Let l(k) = -k**2 + 6*k - 3. Let j = 13 + -10. Let y be l(j). Factor 1 - y*i**2 + 6*i**4 - 1 + 3*i - 3*i**5.
-3*i*(i - 1)**3*(i + 1)
Let q(w) be the first derivative of 5/6*w**6 - 15/4*w**4 - 1 + 0*w + 0*w**5 - 10/3*w**3 + 0*w**2. Solve q(d) = 0.
-1, 0, 2
Let r(n) be the second derivative of -13*n**6/80 + 9*n**5/20 - 9*n**4/32 - n**3/8 + 482*n. Determine p, given that r(p) = 0.
-2/13, 0, 1
Let f(q) be the first derivative of -2*q**5/25 - q**4/10 + 4*q**3/3 - 8*q**2/5 - 220. Factor f(n).
-2*n*(n - 2)*(n - 1)*(n + 4)/5
Let k(i) = 1 - 6*i**3 + 11 - 29*i**2 + 17*i - 1 + 16*i**3. Let z(s) = -9*s**3 + 28*s**2 - 18*s - 10. Let h(f) = -4*k(f) - 6*z(f). Determine p so that h(p) = 0.
-2/7, 2
Let b be 3/(-7) + 2025/21. Solve -92 + b + 2*h - 3*h**3 - 4*h**2 + h**3 = 0 for h.
-2, -1, 1
Suppose 363/4*a + 435/2*a**2 + 213*a**3 + 33/4*a**5 + 21/2 + 84*a**4 = 0. What is a?
-7, -1, -2/11
Let n(y) be the second derivative of -2*y**2 - 20*y + 0 - 5/2*y**4 - 17/3*y**3. Determine k so that n(k) = 0.
-1, -2/15
Solve -16/5*z + 3 - 14/5*z**2 - 1/5*z**4 + 16/5*z**3 = 0.
-1, 1, 15
Suppose -34 + 12 = -11*k. Factor 3*h**2 - 6 - 3*h**2 + k*h**2 - 4*h.
2*(h - 3)*(h + 1)
Let r = 8924/93261 - 2/4441. Let i(q) be the third derivative of 0 + 0*q + 1/84*q**4 - r*q**3 + 1/105*q**5 + 7*q**2 - 1/420*q**6. Factor i(h).
-2*(h - 2)*(h - 1)*(h + 1)/7
Suppose 0 = 8*q - 83 + 67. Let u(o) be the first derivative of -6*o**q + 2 + 0*o - 4/3*o**3. Factor u(s).
-4*s*(s + 3)
Let i(v) = 15*v**2 - 70*v + 670. Let t(b) = -b**2 + 5*b - 48. Let h(k) = -6*i(k) - 85*t(k). Factor h(z).
-5*(z - 3)*(z + 4)
Let v(j) be the second derivative of -j**6/105 + j**4/42 - 362*j. Factor v(f).
-2*f**2*(f | {
"pile_set_name": "DM Mathematics"
} |
s 3*d**4 + 2*d**4 - 6*d**4 + (2*d + 3*d - 3*d)*(-3077*d**3 + 1564*d**3 + 1652*d**3) in the form p*d**2 + f*d**4 + m + i*d**3 + u*d and give f.
277
Express -2*h**3 + 2923*h**2 - 41 - 2939*h**2 + 308*h - 305*h as y*h**3 + v + d*h**2 + s*h and give d.
-16
Rearrange -69*d + 110*d - 5*d**2 + 116*d - 13*d + 213*d to the form v*d**2 + l*d + b and give l.
357
Rearrange 866*j + 459518*j**2 + 1 + 0 - 459515*j**2 to t*j**2 + w*j + y and give t.
3
Rearrange -528*o - 36 - 31 - 115*o + 65 + 37*o to the form n + f*o and give n.
-2
Rearrange 7*d**2 + 13958 + 2*d**2 - 13921 + (3 - 3 - 2)*(-2*d**2 - d**2 + d**2) - 3*d + 7*d**2 + 3*d to the form s + f*d**2 + u*d and give f.
20
Rearrange 181*z**2 - 32*z**4 - 2*z - 99*z**2 + 31*z**4 - 78*z**3 - 89*z**2 to y*z**4 + b*z + l*z**3 + h + a*z**2 and give l.
-78
Rearrange (7*q - 8*q + 9*q)*(q - 4133*q**2 + 2 + 5*q**3 - 5 + 4123*q**2) to w*q**2 + o*q**4 + g*q + i*q**3 + d and give i.
-80
Rearrange -322*r + 4*r**3 - 320*r - 321*r + 959*r + 20 - 3 to b + x*r**3 + l*r + u*r**2 and give l.
-4
Express 6*j + 310032*j**2 - 2 - 310023*j**2 - j**4 + 3*j**3 - 2*j**3 as y*j**2 + r*j**3 + m*j + v + s*j**4 and give v.
-2
Express -z + 950*z**3 + 5805 - 2*z - 11603 + 5800 in the form x + s*z**3 + w*z**2 + v*z and give x.
2
Express -52*g**2 - 8 - 11*g + 103*g**2 - 4*g - 46*g**2 in the form x*g**2 + t*g + o and give x.
5
Express (-1 + 2 + 0)*(-163*f + 1185*f + 123*f)*(-2*f**3 + 2*f**3 + f**3) as t*f**4 + u*f**3 + c + d*f + k*f**2 and give k.
0
Rearrange (-7*d - d + 4*d)*(13 + 31 + 58) to b*d + t and give b.
-408
Express (-3 - 9 - 35)*(-p + 0*p + 0*p)*(-2*p + 3*p - 3*p)*(-15*p - 35*p - 20*p) as a*p**2 + s + t*p + i*p**3 and give i.
6580
Rearrange -641*i**2 - 189*i + 90*i**2 - 187*i - 205*i + 9 + 582*i to the form h*i**2 + o*i + q and give q.
9
Express (2*w**2 - 6*w**2 + 3*w**2)*(30 - 23194*w - 23181*w + 46419*w) as a*w + i*w**3 + v*w**2 + o and give i.
-44
Rearrange -2021*g - 5259*g - 9961*g to u*g + s and give u.
-17241
Rearrange 31*p + 38*p + 45*p + 96*p**2 - 167*p + 37*p to d*p + b + u*p**2 and give d.
-16
Express -146 - q**3 + 68 - 1060*q**4 + 74 in the form h + v*q**3 + m*q**2 + t*q + z*q**4 and give z.
-1060
Express -121*t - 13*t + 7*t + (-3 + 3 + 2)*(-3*t + 7*t - 3*t) + 21 - 6*t - 21 + 0*t + t + 0*t + (t + 4*t - 3*t)*(4 - 1 + 0) as j + s*t and give s.
-124
Rearrange -3*b + 1096*b**2 + b - 3767*b**2 + 2*b to the form x*b + o*b**2 + g and give o.
-2671
Express (2*r + 0*r + 2*r)*(-2*r**2 + 2*r**2 + 5*r**2) + 183*r**3 + 206*r**3 + 860*r**3 as j*r**2 + b*r**3 + d*r + t and give b.
1269
Rearrange 57 + 16983*h**2 - 8490*h**2 - 143 + 2*h**3 - 8492*h**2 to the form b*h**3 + y + n*h + s*h**2 and give b.
2
Rearrange -4*p**2 + 251*p - 239443*p**3 + 2*p**2 + 239422*p**3 to the form o*p**2 + l*p**3 + r*p + g and give r.
251
Express 29*v + 3 - v**3 + v**4 - 45*v + 4*v**4 - 6*v + 23*v as z*v + k*v**4 + o*v**2 + g + a*v**3 and give o.
0
Rearrange (-28*s + 55*s - 56 - 28*s)*(94*s - 168 + 168) + (-4*s + 2*s + 3*s)*(-2 + s + 2) to a*s**2 + f + c*s and give a.
-93
Express (-2*t - 4 + 4)*(66 + 20 - 38) - 16*t + 33*t - 1 - 12*t as h*t + m and give h.
-91
Express 4*c**3 - 8*c**3 + 2*c**3 + 0*c**3 + 1187*c - 12 + 11 in the form b*c + j*c**3 + h + k*c**2 and give j.
-2
Rearrange 12*t**3 - 113*t + 116*t + 16*t**3 + (-2 + 2*t + 2)*(-5*t**2 - 26*t + 26*t) to v + z*t**3 + s*t + o*t**2 and give s.
3
Rearrange 39*z - 80*z - 3 + 42*z - 13*z**2 + (-1 - 7*z + 1)*(4*z - 3*z - 3*z) to the form r*z + a*z**2 + o and give o.
-3
Rearrange 6*a - 7*a - 15 + 0*a + (-1 - 4 + 4)*(2 - 2 + 2*a) + a - 22*a - 3*a to n + v*a and give n.
-15
Rearrange -3812*y + 24127 - 24127 + 393*y to a + j*y and give j.
-3419
Rearrange (0 + 1 + 0)*(-2*x**4 - 2*x**4 + x**4) - 1366*x**4 - 619*x**4 + 332*x**4 to the form d + y*x**4 + u*x**2 + v*x**3 + f*x and give y.
-1656
Express 2095*r + r**2 + 772 - 1527 + 755 as i*r + o + w*r**2 and give w.
1
Rearrange -3137*o**2 + o**3 + o**3 - 167 + 136 + 31 to the form i*o**3 + u + j*o + n*o**2 and give n.
-3137
Rearrange 1572353*t**2 - t**3 - 1572383*t**2 + 1 - 3*t + 5*t**4 - 3*t**4 to i*t**4 + d + q*t + o*t**2 + s*t**3 and give o.
-30
Rearrange (-240 - 320 - 232 + 233)*((4 - 3 + 0)*(2*o - o - 2*o) - 35*o + 15*o - 17*o) to j*o + v and give v.
0
Rearrange 57*y + 8477*y**2 + 3*y**3 - 8482*y**2 - 68*y - 10*y**4 to s + c*y**2 + u*y**4 + x*y + m*y**3 and give u.
-10
Rearrange (-2*f - 2*f + 2*f)*(14397*f + 11005*f - 9371*f + 7353*f) - 3*f**2 + 0 + 0 to the form t*f + r + p*f**2 and give p.
-46771
Express -444 + 105172*o**2 - 16 - 105177*o**2 as v*o**2 + x + f*o and give x.
-460
Express -1376*p**2 - 327*p**2 - 2409*p**2 in the form j*p + l + q*p**2 and give q.
-4112
Rearrange (-1 - 3 + 5)*(-54 - 1053 + 3911)*(0*m - m - m)*(2*m - 1 + 1) to p*m + v + f*m**2 and give f.
-11216
Rearrange -7 - 140*b**4 + 31 + 137*b**4 + (-2*b**2 + 2*b**2 + b**2)*(-8*b**2 + 12 - 12) to t*b**4 + p*b**2 + x*b + m*b**3 + i and give m.
0
Express -19*v**3 + 81*v - 186*v**2 + 185*v**2 - 85*v in the form h*v + a*v**3 + f*v**2 + k and give h.
-4
Express 26 + 69*m**2 - 70*m**2 + 2*m + 11*m**3 + 15*m**2 as c + f*m + b*m**2 + i*m**3 and give c.
26
Rearrange (-54 + 142*k + 190*k + 64)*(4 - 1 + 0) to z*k + g and give z.
996
Express (0 - 3 + 4)*(1 + 1 + 0)*(1622 + 301 + 569)*(4*h - 4*h + 2*h)*(4 - 1 - 1) as d + n*h and give n.
19936
Express (7*b - 4*b - 2*b)*(b + 3*b - 3*b)*(-2 - 2 + 1)*(-176 - 39 - 6) in the form j*b + x + p*b**2 and give p.
663
Rearrange -319 + 398 + 1267*t - 79 to the form c*t + v and give c.
1267
Rearrange 4259*s**2 + 2227*s**2 - 1275*s**2 to the form m*s**2 + f + z*s and give m.
5211
Rearrange 13*s**2 + 24*s - 25 - 11*s - 11 + 48 - 19 to the form g + x*s + h*s**2 and give h.
13
Express 13*k**3 + 15 - 50*k**3 - k**2 + 14*k**3 + 10*k**3 + 12*k**3 as z*k + p + n*k**2 + h*k**3 and give p.
15
Rearrange -3*s**2 - 203*s + 11 - 232*s + 4*s**2 + 493*s to d*s**2 + j + q*s and give d.
1
Rearrange (-26517*v + 1339 - 673 - 666)*(-2 + 0 + 1) to the form a + z*v and give z.
26517
Rearrange ((u + 2*u**2 - u)*(3*u - 6*u + u) + 18*u**3 + 57*u**3 - u**3)*(0*u - 3*u + 4*u) to a*u + t*u**2 + s + g*u**4 + l*u**3 and give g.
70
Rearrange -7 - 33*q**3 - 18*q**3 + q**2 - 2*q - 34*q**3 + 117*q**3 - 39*q**3 to the form o*q**3 + z + g*q**2 + y*q and give g.
1
Rearrange -82 + 0*k + 4*k - 581 + 301 - 20 to d*k + w and give d.
4
Rearrange -210 + r**2 + 862 + 320 to the form a*r**2 + d + y*r and give y.
0
Rearrange -3*f**2 + 7*f**2 - 23*f**2 + (62*f + 78*f - 45*f)*(f + 0*f + f) - f**2 + 3*f - 3*f to the form i*f + c*f**2 + y and give c.
170
Express -80*b**2 - b**4 + b - 3*b + 2*b**4 + 79*b**2 + 21*b**3 as o*b**2 + c + i*b**3 + d*b**4 + q*b and give d.
1
Rearrange -74*i**4 - 127*i**4 + 70*i**3 - 2*i + 188*i**4 to the form j + g*i + p*i**4 + c*i**2 + n*i**3 and give n.
70
Express q**2 + 3*q**2 - 5*q**2 + (241*q + 256*q - 428*q)*(-4*q - 8*q + 61*q) in the form m*q + o + v*q**2 and give v.
3380
Rearrange 4105*h**2 - 17*h**2 - 3563*h**2 + 5049*h**2 + 5488*h**2 to the form i*h**2 + y + n*h and give i.
11062
Express -29*n + 2*n - 5*n + (-2 + 4*n + 0*n - 3*n)*(4 - 6 - 1 + (2 + 2 - 3)*(-4 - 12 + 11))*(0 + 0 + 1) in the form i*n + s and give i.
-40
Rearrange 9 - 27*b**3 - 8 - 7*b**4 + 7*b**4 + 10*b**4 + 28*b**3 - 3*b**2 + b to g*b + j*b**2 + o*b**3 + q*b**4 + a and give g.
1
Rearrange 21*c + 9*c**3 + 12*c**3 - 40*c**3 + 10*c**3 + 11*c**3 + 11*c**2 to l*c + a + s*c**2 + g*c**3 and give l.
21
Express 6 - 17 - 475*v**4 + 474*v**4 + 21*v**2 in the form q*v**2 + y*v**3 + w + n*v + f*v**4 and give f.
-1
Express (0*t + 2*t + 0*t)*(-9*t + 23*t + 5*t) - 5*t**2 + 20*t**2 - t - 8*t**2 - 8 in the form m*t + c + w*t**2 and give c.
-8
Express -11598*r**2 + 11008*r - 21971*r + 10964*r as i + d*r**2 + o*r and give d.
-11598
Express (2182*j + 2471*j + 1157*j)*(-3*j**2 + 2*j**3 + 2*j + 0*j**2 + 5*j**2) as a*j**3 + s*j**4 + q*j + l + m*j**2 and give m.
11620
Express 35*b + 48*b + 30*b**2 - 53*b**2 + 53*b as k*b + r + m*b**2 and give m.
-23
Rearrange -1229*i**2 + 505*i**2 - 651*i**2 - 2483*i**2 - 360*i**2 to the form h*i + m + v*i**2 and give v.
-4218
Express 1522*m + 2 - 3050*m - 3*m**2 + 1538*m as d*m + g + u*m**2 and give g.
2
Express -13*s - 86*s**2 + 40*s - 16*s - 13*s - 3 + 185*s**2 as n*s + t*s**2 + v and give v.
-3
Express -p**2 | {
"pile_set_name": "DM Mathematics"
} |
ose -6*r + 11*r - j = 0. Let o = 914 + r. Is o a composite number?
True
Suppose 10*t - q - 2026125 = 0, -t - 15*q + 202633 = -11*q. Is t composite?
False
Let d be (5 - 11 - -7)*5/1. Let x(b) = 35*b**3 + 4*b**2 + 11*b + 1. Is x(d) a composite number?
True
Suppose 2*s + 985631 = 5*c, 4*c - 3392*s - 788495 = -3389*s. Is c a prime number?
False
Suppose 5*d = -l + 772875, -l - 34*d + 33*d = -772859. Is l a prime number?
False
Let y be (-1 + 67)/(-3)*(-6)/12. Suppose 0 = y*f - 9*f. Suppose f = -3*k + 1337 + 712. Is k a prime number?
True
Suppose 6*f - 3*j = 2*f + 64, 2*f = -2*j + 32. Suppose 0 = -15*z + f*z - 3273. Is z a prime number?
False
Let c = 5328 - 2998. Let f = -1276 + c. Let s = 1949 - f. Is s prime?
False
Suppose 61139 = z - 37*s + 40*s, 4*s - 305629 = -5*z. Is z prime?
True
Is (-1 + -2)/((-47)/(227520514/78)) a composite number?
False
Let x be (-2)/((-2)/13)*(-428)/(-1). Suppose -19043 = -4*p - 3*u + 3161, -p = 4*u - x. Suppose 10*n + p = 14*n. Is n composite?
True
Is (-2742)/(-1828)*(58020 - 3*2/(-9)) a composite number?
True
Let r(d) = d**3 + 6*d**2 + 3*d + 3. Let v be r(-3). Is (3 + -208)*v/(-35) a composite number?
True
Let z(f) = 140*f - 68. Let p be z(-10). Let l = -477 - p. Is l a composite number?
False
Let t(r) = 36*r**3 - 4*r**2 + 3*r + 3. Let h be t(2). Suppose -h*d + 280*d + 2333 = 0. Is d a composite number?
False
Let t = 27 - 25. Let r be ((-23328)/45)/(t/(-10)). Let p = r - 1754. Is p a composite number?
True
Let g = -16029 - -32798. Is g a prime number?
False
Let a(v) = 30789*v - 1426. Is a(3) a composite number?
True
Let c(n) = 29751*n - 56. Is c(1) a prime number?
False
Let r(d) = 235*d - 171. Let j(g) = 233*g - 174. Let w(b) = 7*j(b) - 6*r(b). Is w(19) a composite number?
False
Suppose 0*q - w = -2*q + 71, 3*q + 5*w - 113 = 0. Suppose -3*t = -5*z - 7*t + 534, 2 = 2*t. Let h = z + q. Is h a prime number?
False
Suppose -8*i = -6*i - 12. Suppose -8*k + i*k = 16. Is 15/(-10) + (-3060)/k a prime number?
False
Suppose 2*w - 3990 = 3*y - w, 2*w = -4*y - 5350. Let o = 800 - y. Let r = 3532 - o. Is r composite?
True
Suppose -729812 = -2*o - 3*q, -2*o = 306*q - 309*q - 729824. Is o prime?
True
Let v(t) = 409*t**2 - 69*t + 13. Is v(-11) prime?
True
Let m = 2972157 - 1859518. Is m prime?
False
Let v = 137 - 137. Suppose v = -j - 368 + 1587. Is j prime?
False
Suppose -5*f = 5*d - 608790, -121757 = 21*f - 22*f - 2*d. Is f composite?
True
Suppose -2*d + 13*a - 12*a = -947662, -4*d - 2*a = -1895340. Is d a prime number?
True
Let d(n) = -1359*n**3 + 12*n**2 + 21*n - 77. Is d(-7) a composite number?
True
Let d = -259 + 270. Suppose -d*z + 2648 + 13005 = 0. Is z a composite number?
False
Suppose 25*r - 618253 = -296791 + 683813. Is r a prime number?
False
Let k be 22/((13/(-455))/((-2)/(-5))). Let g = k - -2107. Is g a composite number?
True
Suppose 15*d - 1100 = 11*d. Suppose 5*l + d = 4*y, 0 = 2*l - 7*l + 5. Let r = 141 + y. Is r a prime number?
True
Suppose -b + 10 + 1079 = 5*l, 0 = l - 4*b - 201. Let w = 1182 + l. Is w prime?
True
Suppose 6*s - 253351 = 402095. Is s composite?
True
Suppose v + 5*y = 19589, -89*y + 87*y - 39250 = -2*v. Is v a prime number?
False
Suppose -28 - 12 = -4*w - 3*q, -4*w - q + 40 = 0. Suppose w*u = 2*u + 9736. Is u a prime number?
True
Let z(l) = 704*l**3 + 24*l - 77. Is z(3) a composite number?
True
Suppose -4*k + 58021 + 167383 = 0. Is k a composite number?
True
Let r be (1/3)/((-13)/94029)*-1. Suppose s - 259 - 964 = -2*t, -r = -2*s + 3*t. Is s composite?
False
Suppose 4*f = -0*f + 1924. Suppose -196*q + 666 = -193*q. Let i = f - q. Is i prime?
False
Let x(n) = -4*n + 560*n**3 + 2*n + 123*n**3 + n**2 + 4 + 16*n**3. Let l be x(2). Suppose -9*r = -13*r + l. Is r composite?
False
Is 6/57 + 0 + 19244856/152 prime?
True
Let q(o) = -10780*o**2 - o - 1. Let d be q(-2). Let l be (6/3)/((-18)/d). Suppose 1627 = -4*w + l. Is w prime?
False
Let t(m) = 207*m**3 - 17*m**2 - 40*m + 25. Is t(9) prime?
False
Let m = 184 - 180. Suppose -48931 = -m*y - 4*n - n, -6 = -2*n. Is y a prime number?
False
Is (1/(-5))/(26/65)*(-40092 - -14) a composite number?
True
Suppose 17*x = 12*x. Let u be ((-2609)/3)/((-3)/(-9)). Is (-10)/(-5 - x)*u/(-2) a prime number?
True
Suppose 80724 + 280688 = 4*r. Is r a prime number?
True
Let d(i) = -3096*i + 3607. Is d(-51) a prime number?
True
Suppose -12*q + 4*u - 36722 = -7*q, 36698 = -5*q - 4*u. Let z = 34385 + q. Is z a prime number?
True
Let z = -294650 + 2490732. Suppose -6*t = 43*t - z. Is t a composite number?
True
Suppose -3939 - 7670 = 13*h. Suppose -3*j + 5*v = 1676, 1931 = -3*j + v + 247. Let n = j - h. Is n prime?
True
Let n be (-7)/(((-14)/(-64))/7). Let l be (((-2664)/(-14))/(-2))/(48/n). Let d = l - 179. Is d a prime number?
False
Suppose i - 43 = -36. Suppose 11 = i*a - 24. Suppose a*h - 3702 = 7963. Is h a prime number?
True
Suppose -3*p - 2*t + 6 = 0, 8*p - t = 3*p - 3. Suppose 0*h - 2 = h, p = -4*q + h + 266. Suppose 61*w = q*w - 2365. Is w prime?
False
Is ((-278394)/(-6))/(-6 - (2 - 9)) prime?
True
Let b(c) = -c. Suppose 5*m - 51 = -61. Let t be b(m). Suppose 0*w + w + 5*s - 21 = 0, 5*w = -t*s + 36. Is w prime?
False
Suppose -52*r - 234231 = -55*r. Is r a composite number?
True
Let o(l) = 120*l + 61. Suppose -4*g + 71 = -9. Is o(g) composite?
True
Suppose 2*g - 3*i = 1109141, -2*i - 22 + 20 = 0. Is g a composite number?
False
Let x(k) = -1243*k - 89. Suppose -5*o - n - 24 = -o, 0 = 5*n. Is x(o) composite?
False
Let k(b) = 323*b**3 + 4*b**2 - 11*b - 7. Is k(3) a prime number?
False
Suppose 190*w - 11332824 = -39*w + 26086463. Is w a composite number?
False
Suppose -18*l + 155 = -133. Is (-3034)/(-8) - 4/l a prime number?
True
Suppose 2*z = -2*f - 0*f + 2, -f - 2*z + 6 = 0. Is 34/(-2)*(f - 79) a composite number?
True
Let f = 68658 + -7301. Is f a composite number?
False
Let i(n) = 5*n**2 + n - 77. Let l = 312 + -334. Is i(l) composite?
True
Is (70/(-21) + 4)/((-1326864)/(-663426) - 2) a composite number?
False
Let r(p) = 395*p**3 - 5*p**2 - 75*p + 539. Is r(8) composite?
True
Let r be (-22 - -12)*36/20*-1. Is -2*((-197955)/r)/5 prime?
False
Suppose 18*s - 618698 - 5281937 = 459827. Is s prime?
True
Suppose 6*j - 19 = -1. Suppose 0*k + 18 = j*k. Suppose k*s - 2*s - 4*c - 10436 = 0, 13045 = 5*s + c. Is s a composite number?
False
Suppose 0 = 5*f + 2*k - 1389475, 273*f = 271*f - k + 555789. Is f prime?
True
Suppose 41*h = 82 + 82. Suppose 0 = 3*s + 3*m - 6288, -10*s + 15*s + h*m = 10483. Is s a prime number?
True
Let b(p) = -53*p**2 - 5*p + 3. Let y be b(16). Let x = y - -6738. Is x*1/(-1)*1 composite?
False
Let v(b) = 194*b**2 - 53*b + 188. Is v(21) prime?
True
Let v(o) = -15*o - 34*o**2 + 17*o + 38*o**2. Let h be v(-1). Suppose 6*p = 2*p + 12, 3*p = -h*r + 2383. Is r a prime number?
True
Let b(h) be the first derivative of 14*h**3/3 - 8*h**2 - 17*h - 2828. Suppose -2*i - 8 = 12. Is b(i) composite?
False
Suppose 2*l - 59206 + 10620 = 0. Suppose 62143 - l = 10*p. Is p composite?
True
Suppose -27*d + 39064 + 68885 + 49920 = 0. Is d a prime number?
False
Let s(p) = -29 - 22 - 31 - 1723*p. Is s(-3) a prime number?
True
Suppose -40618 - 36967 = -5*y. Is y a composite number?
True
Let t(d) = 90*d + 37. Let p be t(6). Let b = -373 - -97. Let s = b + p. Is s prime?
False
Is 1506669 + (-64)/(-12)*24/32 composite?
True
Let m(g) = 18*g + 6*g - 3 - g**3 - 11*g + 3*g**2 - 2. Let k be m(5). Suppose -11*t + 907 = -k*t. Is t a composite number?
False
Let c(p) = -p**2 - 4*p**3 - 3*p - 23*p**3 + 4*p**2 + 4. Let j be c(3). Let a = -38 - j. Is a a prime number?
False
Is (-20 - (-1 - 33))/((-4)/(-141238)) composite?
True
Suppose 4*x = -h + 7, 5*h - x - 5 = -12. Let c(d) = d**3 + 2*d**2 + d. Let g be c(-5). Is (h + -19)*5/(g/652) a composite number?
True
Suppose 0 = -4*z - 4*u + 3398788, 3*u = -2923*z + 2924*z - 849673. Is z composite?
False
Suppose 178 + 857 = 5*m. Let o = -87 + m. Suppose y + r = o, -y + 83 = 4*r - 52. Is y composite?
True
Let p(v) = v + 3. Let g be p(4). Let m be -3*(0 - -1) - (g + -5). Is (-3933)/18*((m - -1) + 2) a prime number?
False
Suppose 5*b - 4*f = 63, -6*f + f - 10 = 0. Suppose b*r + 883 - 4491 = 0. Let j = r + -141. Is j prime?
False
Suppose -4*t - 165403 = -4*c + 64489, -3*c - 4*t + 172405 = 0. Is c a composite number?
True
Suppose 9*f + 23*f = 14*f + 636102. Is f a | {
"pile_set_name": "DM Mathematics"
} |
y(a) wrt a.
120*a
Let v(i) be the first derivative of -2*i**7/7 - 7*i**3/3 + 7. What is the third derivative of v(r) wrt r?
-240*r**3
Let k(f) be the second derivative of 0 + 0*f**4 - 1/2*f**3 - 3/20*f**5 + 0*f**2 + f. What is the second derivative of k(d) wrt d?
-18*d
Let p(l) be the first derivative of -l**4/4 + 5*l + 1. Differentiate p(i) wrt i.
-3*i**2
Let n(v) be the second derivative of 0*v**5 + v + 0*v**2 + 0 - 1/12*v**4 + 3/10*v**6 + 0*v**3. Find the third derivative of n(z) wrt z.
216*z
Suppose 31 = 5*v + 6. Suppose v*q + 4*t = 31, 8*t - 4*t - 4 = 4*q. Differentiate -2 - 3*p**q + 4*p**3 + p**3 with respect to p.
6*p**2
Let a(d) be the second derivative of 3*d**7/7 - 5*d**4/6 - 2*d. What is the third derivative of a(g) wrt g?
1080*g**2
Let k(x) be the first derivative of -7*x**3/3 + 2*x**2 + 3. What is the second derivative of k(t) wrt t?
-14
Let u(l) be the first derivative of 2*l**5 + 44*l - 23. What is the derivative of u(t) wrt t?
40*t**3
Find the third derivative of -64*k**4 + 58*k**4 - 4*k**2 - 3*k**2 wrt k.
-144*k
Let z(b) be the first derivative of b**6/120 + b**3/2 - b**2 + 4. Let v(i) be the second derivative of z(i). Find the first derivative of v(h) wrt h.
3*h**2
Let k be ((-2)/(-4))/(1/26). Let c = -8 + k. What is the first derivative of c*z - 1 + 0*z - 3*z wrt z?
2
Let l(v) be the first derivative of -v**6 + 0*v**4 + 0*v**3 - 6 + 0*v + 0*v**5 - 1/2*v**2. Find the second derivative of l(t) wrt t.
-120*t**3
What is the second derivative of -39*p**3 - 11*p + p + 39*p**3 + 6*p**5 wrt p?
120*p**3
Find the second derivative of 0*s + 6*s - 210*s**3 + 228*s**3 wrt s.
108*s
Suppose -3*w = -2*q + 7, -w + 3*q = -0*w + 7. Let d(b) = -1. Let g(m) = -4*m - 1. Let c(p) = w*g(p) - 2*d(p). What is the first derivative of c(t) wrt t?
4
Let h(w) = -4*w**5 + 5*w**2 + 2*w. Let f(a) = a**5 - 35*a**3 + 35*a**3 - a**2 + 0*a**2 - a. Let y(b) = 2*f(b) + h(b). Find the third derivative of y(p) wrt p.
-120*p**2
Let g be (1 - (4 - 0))*-1. What is the derivative of 2*n**4 - 4*n**g + 4*n**3 + 2 wrt n?
8*n**3
Let c(h) = -h**2 + h - 1. Let j = 1 - 0. Let i(b) = -9*b**3 + 8*b**2 - 6*b + 6. Let p(n) = j*i(n) + 6*c(n). What is the third derivative of p(r) wrt r?
-54
Let a = 5 - 2. Suppose -a*i + 0*i = -12. Find the third derivative of -2*x**2 + x**6 - x**2 + i*x**2 wrt x.
120*x**3
Let s(n) = -n**3 - 4*n**2 + 3*n - 7. Let k be s(-5). What is the second derivative of -7*h**3 + 5*h**3 + 2*h**3 - 5*h**k + 3*h wrt h?
-30*h
What is the second derivative of z + 5*z**4 - 22*z**3 + 4*z**4 + 22*z**3 wrt z?
108*z**2
Let p(f) = -8*f**4 - 5*f**3 + 10*f**2 + 5*f. Let g(y) = 4*y**4 + 3*y**3 - 5*y**2 - 3*y. Let r(z) = 5*g(z) + 3*p(z). What is the third derivative of r(u) wrt u?
-96*u
Let g(s) = s + 3. Let l be g(-1). Suppose 2*n + 1 = 9. What is the third derivative of l*t**4 - 5*t**n - t**2 - t**2 wrt t?
-72*t
Find the second derivative of 24*x - 9*x**3 - 9*x**3 + x**2 + 39*x**3 - 9*x**3 wrt x.
72*x + 2
Suppose -10 = -5*s + 2*w + 3*w, 0 = -w. Find the second derivative of 11*j**3 + j - 15*j**3 - s*j wrt j.
-24*j
Let r(o) be the first derivative of o**9/1512 + 7*o**6/360 - 7*o**3/3 + 1. Let v(l) be the third derivative of r(l). What is the third derivative of v(i) wrt i?
120*i**2
Let g(m) be the first derivative of 0*m**2 + 0*m + 1 + 0*m**4 + 2/7*m**7 + 0*m**6 - m**3 + 0*m**5. What is the third derivative of g(o) wrt o?
240*o**3
Let a(h) be the second derivative of 0*h**4 + 2*h + 0*h**2 - 2/3*h**3 - 1/14*h**7 + 0*h**6 + 0*h**5 + 0. Find the second derivative of a(y) wrt y.
-60*y**3
Let l(v) = v**2 + 2*v + 4. Let c(x) = x**2 + 1. Suppose -1 - 4 = -5*a. Let f(g) = a*l(g) - 4*c(g). Find the second derivative of f(s) wrt s.
-6
Suppose 0 = x - 0*x - 4. What is the third derivative of 0*v**2 + x*v**2 + v**2 + 3*v**6 wrt v?
360*v**3
Let s(h) = h + h**2 - 6*h + 17 - 11. Let c = 5 - 1. Let w(x) = x**2 - 4*x + 5. Let m(i) = c*s(i) - 5*w(i). What is the derivative of m(v) wrt v?
-2*v
Let m be 3 + (1 - (1 - -1)). Differentiate 2 + t + 0 + t**m - t wrt t.
2*t
Suppose 4*q - h = q + 22, -q = -h - 8. Let w(x) = x**2 - 6*x - 5. Let z be w(q). Find the third derivative of -o**2 - o**3 + z*o**3 - o**3 - 3*o**4 wrt o.
-72*o
Let u(i) be the third derivative of i**7/70 + 7*i**5/60 + 7*i**2. What is the third derivative of u(j) wrt j?
72*j
Let w(r) be the third derivative of r**8/1680 - r**5/40 - r**4/24 + 2*r**2. Let p(u) be the second derivative of w(u). Find the first derivative of p(x) wrt x.
12*x**2
Let t(d) = d - 1. Suppose 3*n - 2 + 1 = l, -5 = 5*l - 2*n. Let r(v) = -2*v + 3. Let m(q) = l*r(q) - t(q). Find the first derivative of m(k) wrt k.
1
What is the derivative of -1 + 11 - 9*p - 8*p wrt p?
-17
Let i(l) = 4*l**3 - 17*l**2 + 3*l + 3. Let o(t) = 5*t**3 - 17*t**2 + 4*t + 4. Let b(v) = -4*i(v) + 3*o(v). What is the third derivative of b(q) wrt q?
-6
Let w(u) = 2*u - 3. Let j(p) = 5*p - 6. Let h(d) = 3*j(d) - 5*w(d). Let s(x) = -9*x + 6. Let r(a) = 5*h(a) + 3*s(a). Differentiate r(q) with respect to q.
-2
Let n(v) = 30*v**6 + 4*v**4 - 24*v**2 - 4. Let t(m) = -31*m**6 - 3*m**4 + 25*m**2 + 3. Let w(q) = -3*n(q) - 4*t(q). Find the third derivative of w(b) wrt b.
4080*b**3
Let z = -114 - -116. Let k(i) be the third derivative of -4*i**z + 0*i**4 + 0*i**3 + 0*i + 0 - 1/60*i**6 - 1/30*i**5. Find the third derivative of k(f) wrt f.
-12
Let u(r) be the second derivative of r**7/70 - 5*r**4/24 + 3*r**2/2 + r. Let g(c) be the first derivative of u(c). What is the second derivative of g(w) wrt w?
36*w**2
Let o(a) be the second derivative of 0*a**4 + 0 - 1/15*a**6 + 0*a**2 + 1/3*a**3 + 0*a**5 + 3*a. What is the second derivative of o(d) wrt d?
-24*d**2
Let j(l) be the third derivative of l**6/10 - l**5/60 - 25*l**4/12 - 26*l**2. What is the second derivative of j(u) wrt u?
72*u - 2
Let b be -1 - (3 + 0 + -7). What is the second derivative of 3*d - 1 + b*d**4 + 1 - 7*d wrt d?
36*d**2
Let b = 4 - 3. Suppose -c = 3*f - 10, 3 = -2*f + 2*c - b. Find the first derivative of -2 + 3 - 3 - f*t**4 wrt t.
-8*t**3
Let m(c) = -10*c**4 - 6*c**2 + 4*c - 4. Let k(f) = -19*f**4 - 11*f**2 + 7*f - 7. Let p(a) = -4*k(a) + 7*m(a). Find the third derivative of p(i) wrt i.
144*i
Let b = -9 - -12. What is the second derivative of x - 4*x + 5*x + 3*x**b + x wrt x?
18*x
What is the first derivative of 23*u - 2 - 3 - 16*u wrt u?
7
Differentiate 8 - 4*z**4 + 24 + 29*z**4 wrt z.
100*z**3
Let h be (-2)/8 - (-3)/12. Suppose -2*b + 3 + 1 = h. What is the first derivative of 2 - 9*y**2 + 9*y**b - y**3 wrt y?
-3*y**2
Let f(s) = 8*s**3 + 3*s**2 - 5. Let x(u) = 15*u**3 + 5*u**2 - 10. Let l(p) = -5*f(p) + 3*x(p). What is the derivative of l(n) wrt n?
15*n**2
What is the third derivative of -1 + 13*x**2 + 3 - 2 + 10*x**5 wrt x?
600*x**2
Let a(r) be the third derivative of 17*r**4/24 + 2*r**3 - 11*r**2. Differentiate a(l) with respect to l.
17
Suppose -4*h = -4*b - 8, -5 - 3 = -4*h + 5*b. Suppose 0 = u - 6 + 1. Find the first derivative of u - 2 - 1 + 2*n**h wrt n.
4*n
Find the third derivative of 7*r**6 + r**6 + 13*r**2 + 15*r**6 + 0*r**2 wrt r.
2760*r**3
Let v(c) = -7*c**5 - 4*c**3 + 8*c**2 + 4. Let q(g) = -13*g**5 - 7*g**3 + 16*g**2 + 7. Let w(z) = -4*q(z) + 7*v(z). Find the third derivative of w(d) wrt d.
180*d**2
Suppose 4 = t + 5*l - 5, 4*l + 16 = 5*t. What is the third derivative of -t*r**2 + 6*r**2 + 3*r**4 + r**4 wrt r?
96*r
Let v(h) be the third derivative of 5*h**5/12 - 17*h**3/6 - 26*h**2. Differentiate v(r) wrt r.
50*r
Suppose -h - 3*h = -28. What is the second derivative of -h*x**2 + 2*x**2 + 2*x**2 + 0*x**2 + x wrt x?
-6
Let d(i) = 8*i**3 - 16*i + 3. Let k(t) = 9*t**3 - 17*t + 4. Let h(g) = 4*d(g) - 3*k(g). What is the second derivative of h(l) wrt l?
30*l
Let r(i) be the third derivative of 2/3*i**3 - 8*i**2 + 1/12*i**4 + 0*i + 0. What is the first derivative of r(h) wrt h?
2
Suppose -4*z + 11 = -9. Suppose k = a + 1, 21 = z*k - 0*k + 3*a. What is the second derivative of -k*p + 4*p - 3*p**2 + 5*p**2 wrt p?
4
Let l(s) be the third derivative of 17*s**6/30 + 7*s**5/60 - s**4/6 + 49*s**2. What is the third derivative of l(c) wrt c?
408
Let q(n) be the third derivative of 3*n**6/40 - n**3 + 8*n**2. Find the first derivative of q(k) wrt k.
27*k**2
Find the third derivative of 9*a**5 - 34 + 11*a**2 + 0*a**5 + 33 wrt a.
540 | {
"pile_set_name": "DM Mathematics"
} |
PM and 9:54 PM?
572
How many minutes are there between 2:31 AM and 9:43 AM?
432
What is 123 minutes after 11:20 PM?
1:23 AM
What is 679 minutes after 4:32 PM?
3:51 AM
What is 714 minutes before 2:22 AM?
2:28 PM
How many minutes are there between 12:14 PM and 6:09 PM?
355
How many minutes are there between 11:49 AM and 2:29 PM?
160
What is 211 minutes after 6:39 AM?
10:10 AM
How many minutes are there between 7:24 AM and 4:37 PM?
553
What is 625 minutes after 12:07 PM?
10:32 PM
What is 546 minutes after 8:01 PM?
5:07 AM
What is 310 minutes before 2:19 AM?
9:09 PM
What is 480 minutes after 4:38 PM?
12:38 AM
What is 309 minutes after 1:47 PM?
6:56 PM
How many minutes are there between 8:15 AM and 7:43 PM?
688
What is 504 minutes after 5:08 AM?
1:32 PM
How many minutes are there between 2:43 PM and 2:29 AM?
706
What is 344 minutes after 3:56 AM?
9:40 AM
How many minutes are there between 5:14 PM and 2:00 AM?
526
What is 616 minutes before 6:47 PM?
8:31 AM
What is 152 minutes before 5:16 AM?
2:44 AM
How many minutes are there between 2:16 PM and 4:19 PM?
123
How many minutes are there between 8:37 AM and 6:19 PM?
582
What is 462 minutes after 5:52 AM?
1:34 PM
How many minutes are there between 6:16 AM and 8:40 AM?
144
What is 202 minutes before 1:19 PM?
9:57 AM
What is 430 minutes before 10:45 PM?
3:35 PM
How many minutes are there between 8:56 PM and 3:02 AM?
366
What is 175 minutes after 10:06 PM?
1:01 AM
How many minutes are there between 4:32 PM and 2:42 AM?
610
How many minutes are there between 10:29 AM and 9:08 PM?
639
What is 505 minutes before 2:08 AM?
5:43 PM
How many minutes are there between 7:46 PM and 2:58 AM?
432
How many minutes are there between 6:09 PM and 3:42 AM?
573
What is 145 minutes after 7:24 PM?
9:49 PM
What is 359 minutes before 12:39 AM?
6:40 PM
How many minutes are there between 6:20 PM and 9:07 PM?
167
How many minutes are there between 8:21 AM and 8:59 AM?
38
How many minutes are there between 9:18 AM and 1:42 PM?
264
What is 661 minutes after 2:57 PM?
1:58 AM
What is 354 minutes before 10:07 AM?
4:13 AM
What is 394 minutes after 1:39 PM?
8:13 PM
How many minutes are there between 9:08 AM and 6:32 PM?
564
What is 432 minutes after 12:43 AM?
7:55 AM
How many minutes are there between 2:28 AM and 7:26 AM?
298
What is 366 minutes before 11:13 AM?
5:07 AM
What is 110 minutes before 11:44 PM?
9:54 PM
How many minutes are there between 3:21 AM and 5:18 AM?
117
What is 576 minutes before 3:27 PM?
5:51 AM
What is 98 minutes before 3:09 AM?
1:31 AM
How many minutes are there between 11:23 PM and 8:07 AM?
524
How many minutes are there between 11:19 AM and 5:58 PM?
399
What is 59 minutes after 9:20 PM?
10:19 PM
How many minutes are there between 7:29 AM and 2:32 PM?
423
How many minutes are there between 12:20 AM and 12:58 AM?
38
How many minutes are there between 4:48 PM and 5:51 PM?
63
What is 528 minutes after 5:25 PM?
2:13 AM
How many minutes are there between 9:13 PM and 2:55 AM?
342
How many minutes are there between 6:29 PM and 11:29 PM?
300
How many minutes are there between 7:31 AM and 7:16 PM?
705
What is 172 minutes before 8:24 AM?
5:32 AM
How many minutes are there between 11:00 PM and 1:39 AM?
159
How many minutes are there between 5:51 PM and 4:08 AM?
617
How many minutes are there between 7:01 AM and 10:18 AM?
197
How many minutes are there between 4:27 AM and 1:30 PM?
543
How many minutes are there between 4:59 AM and 2:58 PM?
599
What is 578 minutes before 8:13 AM?
10:35 PM
How many minutes are there between 3:43 AM and 2:38 PM?
655
How many minutes are there between 3:23 PM and 2:07 AM?
644
What is 627 minutes after 4:26 AM?
2:53 PM
How many minutes are there between 1:00 PM and 12:43 AM?
703
How many minutes are there between 6:55 AM and 6:54 PM?
719
How many minutes are there between 12:32 PM and 12:46 PM?
14
How many minutes are there between 12:12 AM and 5:04 AM?
292
How many minutes are there between 1:39 PM and 8:43 PM?
424
What is 663 minutes after 7:46 PM?
6:49 AM
How many minutes are there between 4:33 PM and 6:14 PM?
101
How many minutes are there between 11:55 AM and 8:47 PM?
532
What is 359 minutes before 12:11 PM?
6:12 AM
How many minutes are there between 2:02 AM and 1:44 PM?
702
What is 148 minutes after 8:48 AM?
11:16 AM
How many minutes are there between 3:23 AM and 7:34 AM?
251
What is 685 minutes before 3:21 AM?
3:56 PM
What is 690 minutes after 12:31 PM?
12:01 AM
How many minutes are there between 9:35 AM and 7:59 PM?
624
How many minutes are there between 12:35 AM and 5:24 AM?
289
What is 448 minutes before 8:40 AM?
1:12 AM
How many minutes are there between 1:19 AM and 10:36 AM?
557
How many minutes are there between 5:21 PM and 6:12 PM?
51
How many minutes are there between 11:25 AM and 3:59 PM?
274
How many minutes are there between 3:42 PM and 4:58 PM?
76
How many minutes are there between 7:25 AM and 2:23 PM?
418
What is 313 minutes before 3:26 PM?
10:13 AM
What is 315 minutes after 5:12 PM?
10:27 PM
What is 315 minutes after 12:25 AM?
5:40 AM
How many minutes are there between 2:00 AM and 9:53 AM?
473
How many minutes are there between 12:14 AM and 5:06 AM?
292
What is 48 minutes after 8:55 AM?
9:43 AM
How many minutes are there between 4:49 AM and 4:07 PM?
678
How many minutes are there between 3:17 AM and 3:59 AM?
42
How many minutes are there between 10:42 AM and 8:01 PM?
559
What is 706 minutes before 7:06 AM?
7:20 PM
What is 376 minutes before 11:13 PM?
4:57 PM
What is 502 minutes before 1:46 AM?
5:24 PM
What is 631 minutes before 4:11 PM?
5:40 AM
What is 342 minutes before 5:26 AM?
11:44 PM
What is 156 minutes before 8:11 AM?
5:35 AM
What is 60 minutes before 9:11 PM?
8:11 PM
What is 646 minutes after 12:51 AM?
11:37 AM
How many minutes are there between 2:26 PM and 6:38 PM?
252
How many minutes are there between 7:50 AM and 8:02 AM?
12
What is 595 minutes before 8:26 PM?
10:31 AM
What is 204 minutes after 3:40 AM?
7:04 AM
What is 270 minutes after 11:26 PM?
3:56 AM
How many minutes are there between 1:40 AM and 11:56 AM?
616
What is 402 minutes after 9:01 AM?
3:43 PM
How many minutes are there between 8:44 AM and 8:16 PM?
692
How many minutes are there between 9:03 AM and 5:05 PM?
482
What is 260 minutes before 10:03 PM?
5:43 PM
How many minutes are there between 4:12 AM and 11:54 AM?
462
What is 520 minutes before 9:55 PM?
1:15 PM
How many minutes are there between 8:27 AM and 9:58 AM?
91
How many minutes are there between 1:08 PM and 1:44 PM?
36
What is 71 minutes before 8:08 AM?
6:57 AM
What is 663 minutes before 2:05 AM?
3:02 PM
How many minutes are there between 2:57 PM and 7:40 PM?
283
What is 584 minutes after 7:26 AM?
5:10 PM
What is 144 minutes after 4:07 AM?
6:31 AM
What is 612 minutes after 10:24 AM?
8:36 PM
How many minutes are there between 2:52 AM and 7:48 AM?
296
How many minutes are there between 3:10 AM and 11:23 AM?
493
How many minutes are there between 10:36 PM and 5:35 AM?
419
What is 443 minutes before 1:12 AM?
5:49 PM
How many minutes are there between 12:37 PM and 4:52 PM?
255
What is 439 minutes after 1:36 AM?
8:55 AM
How many minutes are there between 1:46 PM and 1:45 AM?
719
How many minutes are there between 1:36 PM and 9:38 PM?
482
How many minutes are there between 12:42 AM and 6:48 AM?
366
What is 52 minutes before 8:50 AM?
7:58 AM
How many minutes are there between 6:32 PM and 7:14 PM?
42
What is 317 minutes before 2:23 PM?
9:06 AM
How many minutes are there between 6:39 AM and 5:06 PM?
627
What is 704 minutes after 4:14 AM?
3:58 PM
How many minutes are there between 3:16 AM and 2:00 PM?
644
How many minutes are there between 1:25 AM and 6:25 AM?
300
What is 508 minutes before 8:23 AM?
11:55 PM
What is 302 minutes after 6:11 PM?
11:13 PM
What is 121 minutes before 1:18 PM?
11:17 AM
What is 538 minutes after 1:20 PM?
10:18 PM
What is 110 minutes after 10:23 PM?
12:13 AM
What is 52 minutes after 3:22 PM?
4:14 PM
How many minutes are there between 4:30 PM and 6:06 PM?
96
What is 56 minutes after 2:19 AM?
3:15 AM
How many minutes are there between 9:36 AM and 3:50 PM?
374
What is 244 minutes after 11:57 AM?
4:01 PM
What is 501 minutes before 7:29 AM?
11:08 PM
How many minutes are there between 1:28 PM and 8:02 PM?
394
How many minutes are there | {
"pile_set_name": "DM Mathematics"
} |
11
Let a(s) = s**3 + 11*s**2 + 6*s + 7. Let z be (1*(-15)/(-6))/((-124)/496). What is a(z)?
47
Suppose -114*p + 129*p + 75 = 0. Let x(l) = -14*l**2 - 5*l - 14. Let y(m) = 5*m**2 + 2*m + 5. Let h(w) = -6*x(w) - 17*y(w). Determine h(p).
-6
Let x be (2 - 3)/(1/(-32)). Let y = -7 + 36. Let o = y - x. Let v(z) = z**3 + 3*z**2 - 2*z - 4. Calculate v(o).
2
Suppose -4*o + 3*o - t = -483, 5*o = -3*t + 2411. Let s(b) = -b**3 + o*b - 9*b**2 - 487*b + 3 + 3. Give s(-8).
-10
Let h(q) = -q - 10. Let g(j) = j**2 - 20*j + 46. Let v be (-2 - (-45)/20)/((-6)/(-72)). Let d be g(v). Determine h(d).
-5
Let o be (-6)/(-9) + (-160)/320. Let r(c) be the second derivative of 5/2*c**2 - o*c**3 + 12*c + 0. What is r(4)?
1
Let i(o) = o**2 - 5*o + 1. Let b be i(4). Let q(w) be the second derivative of w**5/20 + w**4/6 + w**2/2 + 23461*w. Calculate q(b).
-8
Let m(y) = 4*y + 12. Let h(c) = 8*c + 25. Let x(l) = 7*h(l) - 13*m(l). Calculate x(7).
47
Let q(w) = w**2 - 8*w + 6. Let i(h) = h + 1. Let s(n) = -i(n) + q(n). Let r(y) = -3*y**2 - 4*y + 9. Let c be r(0). What is s(c)?
5
Let i(h) = -h**2 - 12*h - 14. Let d be i(-10). Let x(a) be the second derivative of a**3/2 - 5*a**2/2 + 32*a - 4. Calculate x(d).
13
Let q(m) = -m**3 + 2*m - 2. Let a(j) = j**2 + 5*j + 359. Let k be a(0). Let o = k - 356. Give q(o).
-23
Let m(n) = 7 + 3*n + 24*n - 12 + 2*n**3 - 26*n**2 - 2*n. What is m(12)?
7
Let n(f) = -f**2 + 2*f + 1. Suppose -4*x - 174 + 62 = 0. Let h be x*1*5/(-10). Suppose g - 8*g + h = 0. Determine n(g).
1
Suppose 35*n - 6*n - 24 - 5 = 0. Let u(g) = 3*g - 8. Calculate u(n).
-5
Let j(h) = -2068*h**2 - 20*h - 12 + 7*h + 1420*h**2 + 726*h**2. Determine j(-1).
79
Let p = 21151/63435 + -2/21145. Let b(v) be the first derivative of -4*v + 3*v**2 - 22 - p*v**3. Determine b(5).
1
Let p(u) = -4*u**2 - 3*u + 2. Suppose -70*c - 68 = -74*c. Suppose -27 = c*l + 24. What is p(l)?
-25
Suppose 54*s + 27809 + 8155 = 0. Let z = s - -659. Let q(i) = -i**3 - 9*i**2 - 16*i - 7. Calculate q(z).
7
Suppose a = -o + 5*a + 6, -3*o + 2*a - 12 = 0. Let d be 20/o*(-12)/8. Let v(p) = d*p - 7*p + p - 5. Give v(-4).
-1
Suppose 17*g - 18*g + 28 = -5*f, -4*f = 20. Suppose 5*q + 25 = g*a + 4*q, 0 = -3*a + 4*q + 19. Let s(b) = -b**2 + 7*b + 6. Calculate s(a).
-12
Let g(z) = z**3 - 8*z**2 + 15*z - 3. Suppose -5*h + 30 = -5*i, -7*h + 24 = -3*h + 4*i. Calculate g(h).
15
Let t(h) be the second derivative of h**4/8 - 3*h**2/2 + 3*h. Let g(r) be the first derivative of t(r). Suppose 34*z + 69*z = 515. Determine g(z).
15
Suppose -3*f + 12 = 11*a + 31, -2*a + 2*f - 6 = 0. Let l(w) = w**3 - w**2 - 4*w - 8. Calculate l(a).
-12
Let w(h) be the second derivative of h**3/6 + 5*h**2/2 + 806*h. Determine w(-4).
1
Suppose -4 = 2*d - 3*d, -4 = 4*s + d. Let h(y) = -5*y - 4. Let l(p) = 10*p + 6. Suppose 4*c + 33 = 15*c. Let z(a) = c*l(a) + 5*h(a). Determine z(s).
-12
Let j(b) be the first derivative of -b**4/4 - 7*b**3/3 - 3*b**2 + 2*b + 2403. Suppose -v = 2*z + 10, -32 = 4*z - v - 3*v. Calculate j(z).
2
Let i(n) = 8*n**2 + 40*n - 4. Let u(p) = -13*p**2 - 70*p + 9. Let j(s) = 10*i(s) + 6*u(s). What is j(7)?
-28
Let m = -220 - -222. Let p(t) = 12*t - 71*t**2 - 16*t + 72*t**m + 2. Calculate p(3).
-1
Suppose 502*q + g - 15 = 506*q, -5*g + 59 = -4*q. Let b(i) be the second derivative of -2*i**5 + i**3/3 + i**2/2 + i. Give b(q).
39
Let s(v) be the third derivative of -v**4/8 - 4*v**3 + 2751*v**2 - 2*v. Let u be (-11 - -1)/(2 + -1). Calculate s(u).
6
Let a(g) be the first derivative of -4*g - 4/3*g**3 - 2*g**2 + 96 - 1/4*g**4. What is a(-3)?
-1
Let b(x) = x**3 - x**2 - 2*x + 2. Let h(z) = 8*z**3 - 8*z**2 + 25. Let d(k) = 6*b(k) - h(k). Calculate d(-1).
3
Let m(z) be the first derivative of -z**6/360 + 2*z**4/3 - 209*z**3/3 + 181. Let q(g) be the third derivative of m(g). Give q(0).
16
Let l be -4 - (-3 - -4)*1. Let j be 3 - (-280)/(-147) - (-6)/(-63). Let x(u) = -3 + 0 + j + u + 2. What is x(l)?
-5
Let a(z) be the second derivative of -z**3/6 - 37*z**2/2 - 2*z + 863. Determine a(-23).
-14
Let x(f) = -22*f + 2. Let v(l) = -138*l + 14. Let c(z) = 70*z - 7. Let b(k) = 5*c(k) + 3*v(k). Let w(p) = 2*b(p) - 7*x(p). Let y = 30 + -29. What is w(y)?
26
Let w be 41/(-7) + 6/7. Let p(h) = 2*h - 108 + 0*h + 118. Give p(w).
0
Suppose 3*a - 5*s - 6 = a, 0 = -5*a + s + 15. Let r(d) = 18*d**2 + 5*d + 5 - 19*d**2 - a*d - d**3 - 2. What is r(-2)?
3
Let i = 51 - 38. Let y(m) = m + 0*m**2 - 5*m**2 - i - 3*m - m**3 + 10. Let c(f) = 21*f + 79. Let a be c(-4). Calculate y(a).
7
Let o(h) = -13*h - 409. Suppose 0 = -16495*a + 16447*a - 1536. Give o(a).
7
Let h(t) = -22*t - 1314019*t**2 - 47*t + 95 + 1314017*t**2. Give h(-36).
-13
Let s(u) = 9*u - 12. Let c(v) = v**2 + 2*v + 2. Let k be c(3). Suppose 5*m + k = -8. Let a(n) = 4*n - 6. Let d(o) = m*a(o) + 2*s(o). What is d(5)?
-4
Let o(p) = 3*p + 32. Let l = -1778 - -1771. Give o(l).
11
Let a = 17 - 12. Let r(w) = -w**2 + 12*w - 20. Let y be r(8). Let s(q) = 6*q**2 - 14*q**3 - q**2 + q**3 + 5 - 2*q + y*q**3. Calculate s(a).
-5
Let q(v) be the first derivative of -v**2/2 - 9*v + 2. Let j(t) = 2717*t - 46194. Let m be j(17). Calculate q(m).
-4
Let l(q) = -q**3 - 3*q**2 - 3*q + 3. Let z be l(-2). Let w be -5*(z + -1 - 3). Let f(x) = 0*x - 4 + 9 + x + x. Determine f(w).
-5
Let l = 10841 - 10838. Let a(i) = i**2 - i + 1. Let p(k) = 3*k. Let x(q) = 2*a(q) + p(q). Calculate x(l).
23
Suppose -19 = 5*b + w, b - 3*w = -6*w - 15. Let g(z) be the third derivative of z**4/6 - z**3/2 - z**2 + 210*z. Determine g(b).
-15
Let x(p) = -25*p**2 - 4*p - 22. Let b(k) = 8*k**2 - k + 3. Let y(u) = 3*b(u) + x(u). What is y(-5)?
-3
Let k(b) = -2*b - 30*b + 41*b - 7*b + 5. Suppose -3*t - 15 = -0*t. What is k(t)?
-5
Let c(g) = -8*g - 14*g**2 + 80*g**3 + 3*g**2 + 35*g - 79*g**3 - 8 - 1. Determine c(4).
-13
Suppose -5*g + 6*s + 0 = -5, s = 5*g - 5. Let c(t) = 23*t**2 + 3*t - 2. What is c(g)?
24
Let b be 3/((-42)/(-396) + (-8)/(-132)). Let l(t) = 2*t**3 - 36*t**2 + 5*t - 57. Give l(b).
33
Let z = -4060 - -4060. Let i(r) be the second derivative of 0*r**2 - 1/6*r**3 + 2/5*r**5 - 1/6*r**4 + z + 17*r. Calculate i(-1).
-9
Let i = 234 - 232. Suppose -18 = 2*b + 3*h + i, -2*b + h = 12. Let l(n) = n**3 + 7*n**2 + n - 5. Determine l(b).
-12
Let h(f) = -f**3 + 14*f**2 - 12*f + 29. Suppose t - 288*d + 285*d - 16 = 0, 0 = -t - 4*d + 9. What is h(t)?
42
Let h(f) = f + 2. Let u(r) = 4*r - 10. Suppose -2*p + 5*n + 27 = 0, -13*n + 18*n = -25. Let t(s) = p*u(s) - 3*h(s). Determine t(15).
-1
Let s(u) = 8*u. Let q(m) be the third derivative of -m**5/60 - m**4/3 + m**3/6 + 68*m**2. Let a be q(-8). What is s(a)?
8
Let q(d) = -2*d + 4. Let c = 310 + -591. Let f = 290 + c. Determine q(f).
-14
Let v(x) = 6*x - 60. Suppose -2*q = -2*j + 14, 4*j - 216 = 9*q - 213. Determine v(j).
12
Let f(v) be the third derivative of -v**6/60 - 7*v**5/30 + v**4/8 - 11*v**3/6 - 170*v**2 - 9. Calculate f(-7).
-32
Suppose 0 = 2*m - 0*m - 4, -2*t - 4*m - 6 = 0. Let j = 1545 + -1545. Let l(z) = j*z**3 + 3*z**3 - 6*z + 2*z**2 - 10*z**2 - 4*z**3 + 188 - 178. What is l(t)?
3
Suppose -3355 = -u - 3358, 3*u = -4*c - 33. Let v(q) = -3*q**2 - 12*q - 9. Give v(c).
-45
Suppose 14*s = 16*s - 4. Suppose 4*d + 0 = -3*n + 2, -n = -s*d + 6. Let l(b) = -b**2 - 9*b - 8 - b**3 - 6*b**d + 1 - b**2. Determine l(-7).
7
Suppose -3*r = -p - 21, -6*p + p - 40 = -2*r. Let i = p + 12. Let b(z) be the third derivative of -z**4/24 - z**3/3 + 3*z**2. Calculate b(i).
-8
Let p(g) = -g + 8. Let b(q) = q**3 + 5*q**2 - 9. Suppose 3*j + 4*j + 497 = 0. Let t = -75 - j. Let x be b(t). Calculate p(x).
1
Suppose -2*z - 3*d = 14, 2*d - d - 42 = 4*z. Let l be z/((-2)/(1/1)). Let b(w) = 39*w + 6. Let a(u) = -88*u - 12. Let x(y) = -4*a(y) - 9*b(y). Determine x(l).
-1
Let u(n) = 5*n - 16. Let p(s) = 14*s - 47. Let c(f) = -6*p(f) + 17*u(f). Suppose -23*d + 149*d + 1134 = 0. Give c(d).
1
Let b(s) = -18*s + 2*s + 3*s + 12 + 2*s**2 - s**2 - 2. Let w be b(0). Let k(c) = c**3 - 10*c**2 + 3*c - 3. Determine k(w).
27
Let b(m) be the second derivative of m**5/60 + 5*m**4/24 - 5*m**3/6 + m**2/2 + 4*m. Let l(o) be the first derivative of b(o). Let d = 274 + -279. Give l(d).
-5
Let j(n) = -17*n + 49. Let i(k) = -6*k + 16. Let b(v) = 11*i(v) - 4*j(v). Let p be b(10). Let s(d) = -4 - 14*d + 0 + 15*d. What is s(p)?
-4
Let q(l) = -4*l - 1. Let h | {
"pile_set_name": "DM Mathematics"
} |
. Calculate i(f(k)).
18*k**4
Let i(g) = -3*g. Let q(k) = -18*k**2. Give i(q(u)).
54*u**2
Let n(u) be the third derivative of u**4/8 + 28*u**2. Let x(a) = 16*a**2. Give n(x(y)).
48*y**2
Let d(u) = -u - 18. Let z(g) = 2. Let r(b) = 2*d(b) + 18*z(b). Let q(f) = 8*f. Give r(q(t)).
-16*t
Let s(n) = 6*n**2. Let f(p) = -441*p**2. Give f(s(b)).
-15876*b**4
Let z(o) be the third derivative of 0*o**3 + 0*o + o**2 + 0 + 1/12*o**4. Let h(y) = 6*y - 7*y - y. Give z(h(c)).
-4*c
Let m(n) = 4147 - 4147 + 19*n. Let r(j) = -2*j. Determine m(r(q)).
-38*q
Let v(w) = -5*w + 2. Let z(r) = -r. Calculate z(v(x)).
5*x - 2
Let b(z) = -21*z**2. Let l(r) = 6*r**2. Let a(x) = -5*b(x) - 18*l(x). Let m(u) = 4*u**2. What is a(m(q))?
-48*q**4
Let d(c) = 3*c + 6*c + c - 7*c. Let o(z) = 2*z**2. Determine o(d(n)).
18*n**2
Let u(j) = 2*j**2. Let b(d) = 3691*d + 1. Determine b(u(f)).
7382*f**2 + 1
Let o(c) = -2*c. Let k(g) = -g + 2*g + g. Calculate k(o(x)).
-4*x
Let h(r) = r**2. Let a(z) be the first derivative of z**6/180 + 5*z**3/3 + 3. Let o(p) be the third derivative of a(p). What is o(h(v))?
2*v**4
Let u(f) = -f. Let i(r) = -2*r - 47. Give i(u(y)).
2*y - 47
Let w(a) = -a. Let k(j) be the second derivative of 4*j**3/3 - 26*j. Determine k(w(x)).
-8*x
Let t(u) = -u**2. Let r(l) = -8*l**2 + l - 28. Determine r(t(g)).
-8*g**4 - g**2 - 28
Let n(a) = 22*a. Let w(z) = 7*z**2. Give w(n(y)).
3388*y**2
Let i(q) = -4*q**2. Let a(u) = 30*u**2 - 61*u**2 + 30*u**2. What is i(a(h))?
-4*h**4
Let i(l) = 9*l + 2. Let a(o) = 143*o + 33. Let m(f) = -2*a(f) + 33*i(f). Let v(d) = 2*d. Determine m(v(k)).
22*k
Let m(p) = 3*p**2. Let d(a) = 70*a - 2. Give d(m(l)).
210*l**2 - 2
Let i(h) be the first derivative of -h**2 + 2. Let m be 1 + -3 + 2 - -2. Let s(d) = 0*d**m - 2*d**2 + d**2. Give s(i(l)).
-4*l**2
Let w(f) = -2*f**2 - 3*f - 3. Let k(l) = -10*l**2 - 14*l - 14. Let s(j) = 3*k(j) - 14*w(j). Let c(v) = -8*v + 0*v + 13*v - 3*v. Determine s(c(a)).
-8*a**2
Let x(b) be the second derivative of 0*b**3 + 1/24*b**4 + 0 + 3/2*b**2 + b. Let d(q) be the first derivative of x(q). Let r(w) = -8*w. Determine r(d(p)).
-8*p
Let l(x) = -x**2. Suppose -2*s = -4*s + 10. Let z(y) = -2*y**2. Let b(g) = s*z(g) - 14*l(g). Let h(q) = -2*q. Determine b(h(d)).
16*d**2
Let d(i) = i**3 - 12*i**2 - 13*i + 6. Let l be d(13). Let h(a) = -3*a**2 + 3*a**2 - l*a**2 + 2*a**2. Let g(n) = -n**2. Give g(h(m)).
-16*m**4
Let x(d) = 5*d - 3. Let f be 2 + 2/((-6)/15). Let b(q) = 26*q - 16. Let l(n) = f*b(n) + 16*x(n). Let g(w) = w. Calculate l(g(u)).
2*u
Let a(v) = 2*v**2. Let l(t) = 36*t - 36*t - 7*t**2. What is l(a(y))?
-28*y**4
Let h(t) be the third derivative of -t**5/5 - 2*t**2. Let u(a) = a. What is h(u(q))?
-12*q**2
Let w(z) = 5*z**2. Let m(s) = 29*s**2 - 2*s. What is w(m(y))?
4205*y**4 - 580*y**3 + 20*y**2
Let c(o) = -o. Let u(w) be the first derivative of 0*w + 1/12*w**4 + 0*w**3 + w**2 + 1. Let q(f) be the second derivative of u(f). Give c(q(h)).
-2*h
Suppose -5*w + 12 - 2 = 0. Let z(v) = w*v**2 - v**2 - v**2 + 2*v**2. Let f(l) = 4*l. Determine f(z(u)).
8*u**2
Let j(b) = -13*b - 4. Let o(q) = 299*q + 91. Let h(m) = -91*j(m) - 4*o(m). Let p(s) = 2*s. What is p(h(g))?
-26*g
Let q(v) be the third derivative of -v**4/6 - 2*v**2. Let j(t) = -11*t**2. Determine q(j(p)).
44*p**2
Let s(y) = -15 + 15 - 2*y. Let h(w) be the third derivative of -w**4/24 - w**2. What is h(s(c))?
2*c
Let w(v) = -v**2 - v - 1. Let c(r) = 4*r**2 + 6*r + 6. Let o(u) = c(u) + 6*w(u). Let a(d) be the first derivative of -d**2 - 2. What is a(o(b))?
4*b**2
Let b(h) = -4*h. Let n(j) = 2*j - 4. Let c(f) = -4*f + 9. Let k(s) = -4*c(s) - 9*n(s). Calculate b(k(w)).
8*w
Suppose -3*v + 4*v = i + 2, 2*v = 3*i + 9. Let o = -2 - v. Let p(n) = -1 - 2*n + o. Let b(h) = -h**2. Give b(p(c)).
-4*c**2
Let u(d) be the third derivative of d**5/20 - d**2. Let m(b) = b**2 - 2*b. Let s(t) = -6*t + t**2 + 2*t + t. Let c(x) = 3*m(x) - 2*s(x). What is u(c(l))?
3*l**4
Let v be 4/(-14) + (-22)/(-77). Let l(x) = -x**2 + 2*x**2 + v*x**2. Let n(h) = h. Give l(n(o)).
o**2
Let v(c) = 7*c**2. Let y(h) = -170*h**2. What is y(v(z))?
-8330*z**4
Let c(a) = -a**2 - 1. Let x(f) = -3*f**2 - 6. Let p(i) = 6*c(i) - x(i). Let u(k) = -k**2. What is p(u(q))?
-3*q**4
Let h(n) = 9*n**2. Let p(w) be the first derivative of -2*w**3/3 - 6. Calculate p(h(b)).
-162*b**4
Let c(s) be the first derivative of 2*s**3/3 - 15. Let r(o) = o. Determine c(r(z)).
2*z**2
Let v(t) = 5*t. Let u be v(1). Let j(s) = -4*s - 2*s + u*s. Let y(w) = w. Determine j(y(x)).
-x
Let t(d) = -d**2. Let s be (-2 + 1)/((-1)/3). Let l(p) = -8*p + s*p + 2*p. What is t(l(h))?
-9*h**2
Let v(y) = 24*y + 5. Let m(w) = 5*w**2. Determine v(m(q)).
120*q**2 + 5
Let y be (-4)/(-6) - (-4)/3. Let c(g) = 0*g**2 + 0*g**2 + 2*g**y. Let q(z) = 0*z**2 + z**2 + 0*z**2. Calculate q(c(b)).
4*b**4
Let w(f) be the second derivative of -f**3/6 + 2*f. Let q(a) = -a**2 - a. Let g(u) = -49*u**2 - 42*u. Let n(c) = g(c) - 42*q(c). Determine w(n(j)).
7*j**2
Let x(w) = 13*w**2 + 4*w - 4. Let i(q) = 14*q**2 + 5*q - 5. Let j(b) = -4*i(b) + 5*x(b). Let y(n) = -n. What is y(j(d))?
-9*d**2
Let c be 1/(3/12) + 1. Let r(u) = -48 + 48 + c*u. Let g(y) = -6*y**2 - 5*y + 5. Let w(v) = -v**2 - v + 1. Let x(p) = g(p) - 5*w(p). What is r(x(i))?
-5*i**2
Let x(c) = -c**2. Suppose 3*t = 8*t. Let w(b) = -b**2 - 2*b**2 + t*b**2 + 2*b**2. Determine w(x(z)).
-z**4
Let u(s) = 8*s**2. Let c(i) = 29*i**2. Calculate u(c(m)).
6728*m**4
Let g(x) = 249*x**2 - 3*x. Let h(b) = b. Determine g(h(t)).
249*t**2 - 3*t
Let d(j) = -69*j**2 - j + 2. Let v(i) = i. Calculate d(v(s)).
-69*s**2 - s + 2
Let c(a) = -a**2 - 4*a + 4. Let d be c(-4). Let v(m) = 5*m - 3 + 1 - d*m. Let y(g) = -3*g + 5. Let i(l) = 10*v(l) + 4*y(l). Let w(j) = -5*j. What is w(i(s))?
10*s
Let i(s) = -5*s. Let o(c) = -11*c. Give i(o(k)).
55*k
Let s(l) = -3*l**2 + 45 - 45. Let q(a) = a**2. Give s(q(k)).
-3*k**4
Let q(f) = 11*f**2. Let v(a) = -6*a**2. Determine v(q(x)).
-726*x**4
Let a(d) = d**2 - 11*d - 11. Let m(t) = 2*t + 2. Let i(o) = 2*a(o) + 11*m(o). Let z(r) be the third derivative of r**4/8 + r**2. Give z(i(j)).
6*j**2
Let b(y) = -y**2. Let m(x) be the second derivative of x**4/8 - 3*x**2/2 + x. Let i(j) be the first derivative of m(j). Give i(b(n)).
-3*n**2
Let d(g) = -g. Let z(a) = a**2 + a + 1. Let j(h) = 4*h**2 + 6*h + 6. Suppose 0 = i - 0 + 1. Let f(n) = i*j(n) + 6*z(n). Calculate f(d(k)).
2*k**2
Let t(g) = -3*g**2. Let k(c) = 0 + 3 - 8 + 4. Let v(b) = 2*b - 2. Let n(d) = 4*k(d) - 2*v(d). Give t(n(l)).
-48*l**2
Let n(c) = -1. Let h(u) = 2*u - 6. Let k(i) = -h(i) + 6*n(i). Let w(m) be the second derivative of 0*m**2 + 0 + 0*m**3 + 3*m + 1/12*m**4. Determine w(k(t)).
4*t**2
Let s(o) = -13*o**2. Let m(c) = 114*c. Calculate m(s(d)).
-1482*d**2
Let d(c) = 75*c. Let l(f) = 113*f**2. Determine d(l(y)).
8475*y**2
Let j(l) = 2*l**2. Let o be 3 - (1 - (2 + 0)). Suppose o*i = -13 - 31. Let s(w) = 3*w - 4. Let c(z) = 8*z - 11. Let q(h) = i*s(h) + 4*c(h). Calculate j(q(f)).
2*f**2
Let y(l) be the first derivative of l**5/120 - l**3 - 1. Let s(w) be the third derivative of y(w). Let c(p) = -3*p**2. Calculate c(s(z)).
-3*z**2
Let q(c) = -5*c**2 + 138. Let a(r) = 2*r**2. Calculate a(q(t)).
50*t**4 - 2760*t**2 + 38088
Let r(x) = -2*x**2. Let h(s) = 13*s - 2 + 9 + 1. Let p(v) = 4*v + 3. Let q(d) = -3*h(d) + 8*p(d). Calculate q(r(g)).
14*g**2
Let g(t) be the first derivative of -2*t**3/3 + 9. Let l(y) = 5*y**2. What is g(l(q))?
-50*q**4
Let r(j) = -13*j. Let h(d) = 346*d. Calculate r(h(s)).
-4498*s
Let p(w) = -2*w**2. Suppose 5*g + 1 = 11. Let n(o) be the first derivative of -o**2 + o**g - 5 - o**2 + 3. Calculate p(n(t)).
-8*t**2
Let v(u) = -3 - 2*u + 3. Let l(r) be the first derivative of 0*r + 2/3*r**3 + 0*r**2 - 4. Determine l(v(h)).
8*h**2
Let v(s) = 4*s. Let b(q) = -17*q**2 + 11*q**2 + 10*q**2. What is b(v(r))?
64*r**2
Let l(n) = n**2. Let c(s) = 5*s**2 + 2. Give c(l(u)).
5*u**4 + 2
Let u(c) = 2*c**2. Suppose 0 = -3*y - 2 - 4. Let x be y/8 + 3/12. Let p(z) = z - 2*z + x*z. Give u(p(t)).
2*t**2
Let q(m) = 1863*m + 115. Let t(g) = -49*g - 3. Let s(o) = -3*q(o) - 115*t(o). Let y(i) = -i. Determine y(s(a)).
-46*a
Let y(s) = -6*s. Let u(o) = 8*o**2 - 6. Let l(r) = -11 + r**2 + 8*r**2 + 6*r**2. Let v(a) = 6*l(a) - 11*u(a). What is y(v(j))?
-12*j** | {
"pile_set_name": "DM Mathematics"
} |
uming b is positive.
b**(15652/75)
Simplify (t/(t/(t**(-2/13)*t))*t*t*t**(-2)*t)**(3/7)/((t*t**5)/(t*(t*t*(t**2*t)/t)/t))**(7/10) assuming t is positive.
t**(-277/455)
Simplify ((((v*v*v/(v**1/v))/v)/v)/(v/v**(-1))*(v*v*v**(-3/7)/v)/v*v**(-8))/((v**(1/2))**(1/30)*v**(-1)/(v/v**(2/5))) assuming v is positive.
v**(-659/84)
Simplify ((z**(-3/7)*z)/z**6*(z**3*z)/z*z/(z*z/((z/((z/(z*z**(1/11))*z)/z))/z)))/((z**(1/2))**20*z**7*z**(-2/13)) assuming z is positive.
z**(-20204/1001)
Simplify ((((z*z**(-11))/z)/z*z*z**(-7/5)/z*z)/(z**(-1/16)/((z*z**16/z)/z)))**(3/14) assuming z is positive.
z**(639/1120)
Simplify ((x*x**(-1/2))/x)**(-26)*(x*x**(2/11))/x*x*x/(x/(x**4/x))*x**(-1/2)/(x/x**(2/3))*x/(x*x**(-1/4))*x*x**3/x assuming x is positive.
x**(2587/132)
Simplify (v**(-2/5)*v**(1/3))**(1/4)/((v**0/v*v)**(-44)*v*v**3*v**(-6)) assuming v is positive.
v**(119/60)
Simplify ((((i/i**(-2/7)*i)/i**(3/8))/(((i*i**(-3)*i)/i)/(i/(i/(i**(1/5)*i)))))**13)**(-24) assuming i is positive.
i**(-55809/35)
Simplify ((n**14*n*n*(n*n**(-2)*n)/n*n)/(n**(1/9)*n*n*n**(-12)))**(-27) assuming n is positive.
n**(-699)
Simplify (t**44/t**45)/(t**26)**30 assuming t is positive.
t**(-781)
Simplify (u**1/(u/u**(-4)))**(4/5)*(u*u**2)/u**0*(u**(2/3))**(2/67) assuming u is positive.
u**(-181/1005)
Simplify (w**11/((w**(-1)*w)/w))**3/((w**(1/4))**(-5/7)*w**3*(w/((w/(w/(w/((w/w**(2/3))/w))))/w)*w)/w) assuming w is positive.
w**(2759/84)
Simplify ((r*r**(-4/3))/(r/(r/r**6)))/((r*r**(-7/4)*r)/r**(-1/5))*(r*r**1*r/(r*(r/r**(5/4))/r*r))**(1/2) assuming r is positive.
r**(-679/120)
Simplify (p**5)**(-46)/(p**34)**(12/11) assuming p is positive.
p**(-2938/11)
Simplify (((c**(2/17)*c)/c*c)/(c*c/(c/c**(-2/3)*c))*((c*c*c*(c*c**(-1/5)*c)/c*c)/c*c)/c**(-3/7))**(-6) assuming c is positive.
c**(-25036/595)
Simplify ((p*p/p**0*p)/(p/(p**8/p))*p*p**(-8)*p*p*p**(-1))/(p*p/p**(-1/10)*p*p**9)**(-43) assuming p is positive.
p**(5233/10)
Simplify b**(-4/7)/b**(-2/9)*b**(-4/7)/(b**(-4/7)*b)*(b**(-2/9)*(b*b**(3/5))/b)**31 assuming b is positive.
b**(1088/105)
Simplify ((o**(-10/17)*o)/o**(1/4))/((o*o*o**31)/o**8) assuming o is positive.
o**(-1689/68)
Simplify ((w**(-2/3))**(19/4))**(-1/38)/(w/w**(-6)*w**(-2/3))**(-13) assuming w is positive.
w**(989/12)
Simplify ((s**(-9))**(3/16)*s*s**7*s*s/s**(5/2))**(1/17) assuming s is positive.
s**(93/272)
Simplify ((l*(l*(l/l**28)/l)/l)/(((l*l*l**(-16/9))/l*l)/l)*l/l**(7/4)*l*l**17)**8 assuming l is positive.
l**(-646/9)
Simplify (l*l**(-14)/l)/(l**(2/81)*l*l*l)*l**(1/11)/(l*l**(-20)*l) assuming l is positive.
l**(950/891)
Simplify (s**18/(s*s/(s*(s**27/s)/s))*(s/(s*s**(-25)))/s**(-14))**(-30) assuming s is positive.
s**(-2430)
Simplify (((n**(-1/6)/(n/(n*(n*n/(n/n**(-1/18))*n)/n)))**(-48))**45)**(2/9) assuming n is positive.
n**(-1120/3)
Simplify (((d*d**(-8))/((d/d**(1/6))/d))/(d/(d/(d*d**(4/5)/d))*d**(-1/2)))/((d**(2/3))**22)**(-20) assuming d is positive.
d**(1431/5)
Simplify (z*z**0)**41*z**(5/3)/z**(4/9)*(z**(-1))**(1/62)/((z**1*z)/z*(z/((z*(z/z**1)/z)/z))/z) assuming z is positive.
z**(22435/558)
Simplify m/m**38*m/(m/(m*m**(-12)))*(m*m*m**31*m)**(-26) assuming m is positive.
m**(-932)
Simplify (j**0*j**(-11))**(-27/2)*((j**(1/4))**(-2/5))**(-43) assuming j is positive.
j**(764/5)
Simplify ((i/(i**(-1/3)/i))**(-3/23))**18/((i*i**(-1)*i)**(-8/7))**21 assuming i is positive.
i**(426/23)
Simplify ((z/(z*z**(-3)*z))/(z**(-6/7)*z))**(-8/11)/(z**9/z*z*z*z/z**8)**(-21) assuming z is positive.
z**(4747/77)
Simplify (((s/(s**(-6)*s))/s**4)/((s**5/s)/(s/(s*(s/s**(4/5))/s*s*s))))/((s**(2/7))**(-5/6)/(s**(-7)/(s**(-2)/s))) assuming s is positive.
s**(-731/105)
Simplify ((w*w/w**0)**(-26))**43*w/w**(-2)*w*w*w*(w*w**(-4))/w*w*w/(w/(w/(w*w**4)))*w**(-4) assuming w is positive.
w**(-2241)
Simplify (((k*k**1)**(7/10)*(k/(k/k**(2/9)))/(k*k/(k/((k/k**1)/k))))**(26/7))**33 assuming k is positive.
k**(20878/105)
Simplify r**(3/5)*r**0*(r**2)**(-12/7)*(r*r/(((r/(r**(2/5)/r))/r)/r)*r*r**(-1)*r)/(r**3*r*r**(-1/3)) assuming r is positive.
r**(-65/21)
Simplify (((f*f/f**(1/4))/f)/f**0)/(f**(-2/9)/(f/f**1))*(((f/(f/(f*f*(f**(-3/2)/f)/f*f)))/f)/(f*f/f**(1/3)))**(-3/29) assuming f is positive.
f**(1357/1044)
Simplify ((r*r**0)/(r*r/r**(-2/11)*r))**26/((r**1)**40/((r*r**(-1/2))/r**(2/9))) assuming r is positive.
r**(-19097/198)
Simplify ((h/h**(-3/8)*h*h**(-1/6))/(h**1/h)**13)/((h*h**7*h)/(h/(h/(h/h**6)))*h**8*h*h*h**(-4/9)) assuming h is positive.
h**(-1537/72)
Simplify (c**1*c)**(-7)/(c*c/(c*c**(-1/4))*c)**(2/49)*(((c/((c/c**(-1))/c))/c*c)/c)**(2/23)*(c**(-1)*c)**(-7/9) assuming c is positive.
c**(-31959/2254)
Simplify (x**10*x**(-4/7))**3/(x**(-1/2)/x**7*x**2*x*x**(-4/5)) assuming x is positive.
x**(2351/70)
Simplify ((q**(-4/5)*q**0)/(q**0)**(-8/5))/((q*(q*q*q/(q*q**(-1/2)*q)*q)/q*q)**(-4/7))**(-2) assuming q is positive.
q**(-24/5)
Simplify ((z/z**(-5/7))/(z/z**(-14))*(z*z**(-25))/(z**20/z))**35 assuming z is positive.
z**(-1970)
Simplify ((h*h**3)/(h/(h*h**(-2)/h*h*h*h))*h**(1/5)/h*h**13*h*h*h*h)**(-8) assuming h is positive.
h**(-808/5)
Simplify ((c*c**(-2))/c**(-2/5))**(3/14)*(c**(1/5)/(c/((c/c**(-3)*c)/c)))/(c**(-1/7)/c**(-1/7)) assuming c is positive.
c**(43/14)
Simplify ((((m*m/(m*m**7))/(m/m**(-1)))**(1/30))**(-2/13))**(1/9) assuming m is positive.
m**(8/1755)
Simplify ((o/o**(-4)*o)/o*o**(-1))**(-3/5)*(o**(-2/5))**(-2/21)*(o/o**(-5))/(o*(((o*o**(-2/9))/o)/o)/o*o) assuming o is positive.
o**(1216/315)
Simplify ((p/(p/p**(-3)))/p*p*p/p**(1/3))/(p**4/(p**(2/25)/p))*(p**(-1))**(-11/7)*(((p/(p*p*p**(-2/5))*p)/p)/p)**(-21) assuming p is positive.
p**(14657/525)
Simplify (b**(-3)*b*b**2*((b/b**1*b*b)/b)**(10/13))/((b**(-2))**(-21)*b**0*b**(-7)) assuming b is positive.
b**(-445/13)
Simplify y**(-2/9)/y**(-5/2)*(y*y/(y/(y/y**(-5))))/y**(2/9)*(y/y**(-3)*(y/y**(-3/8))/y)/((y**(1/2)*y)/y)**36 assuming y is positive.
y**(-329/72)
Simplify ((p/(p/(p/(p*p**(-2/115))))*p*p)/p**(2/27))/((p*((p/p**(1/8)*p)/p)/p)/p*p*p**(12/5)) assuming p is positive.
p**(-33079/24840)
Simplify (((((s**0/s)/s)/(s*((s**(-10)/s)/s)/s))**(-20))**(1/3))**(-21) assuming s is positive.
s**1400
Simplify ((c**(-5)*c**0)/(c/c**0*c)**(1/5))/(c**6*c/c**(2/11)*c/(((c/((c*c**(-3/7))/c))/c)/c)*c**(3/4)/c) assuming c is positive.
c**(-20851/1540)
Simplify (((k/(k*k**(-5/4)))/k)/(k/k**4)*k**(1/2)/k*k*k**(-4))/(k/(((k/k**3)/k)/k)*k*k**(-4/5)*(k**(-1))**(-30)) assuming k is positive.
k**(-709/20)
Simplify ((w/(w*w**(-6))*w/(w/(w*(w*w/((w**4/w)/w))/w))*(w**(-1)*w)**(-40))**(4/21))**(-22) assuming w is positive.
w**(-176/7)
Simplify ((q*q*q/((q**(-1/2)*q)/q))**(-35)*(q*q**(-20/7)*q)**(-5/8))**24 assuming q is positive.
q**(-20490/7)
Simplify (r*r**(-4)/r*r*r**(7/5))/((r/r**(-8))/(r**2/r))*((r**7/r)/r**(-1/11))/(r**2/r*r/(r**(4/3)*r)) assuming r is positive.
r**(-524/165)
Simplify (b*b*b*(b**(1/3)*b)/b)**(-8/7)*((b/(b**(-1)/b))/b)/(b**(-4/7)*b)*(b*b**1)**(-6)/(b/((b**(-1)*b)/b))**12 assuming b is positive.
b**(-803/21)
Simplify (((c/((c/c**(-1/4))/c))**29*c**4/c**(4/5))**(-46))**(-11/4) assuming c is positive.
c**(126247/40)
Simplify ((u**(15/2)/u)**(2/17)/(u**(-7))**27)**49 assuming u is positive.
u**(158074/17)
Simplify (((g*(g*g/((g/g**(-2/3))/g))/g*g)/g)**(-38)*(g/(g/(g**(-2/11)/g))*g)/(g/(g*g/((g/(g*g/(g*g**(2/11))))/g)*g)*g*g))**(-20) assuming g is positive.
g**(33020/33)
Simplify ((y**(-4/7)/(y*y**(-5)))/(y**(-1/3))**(-45))/(y**12*y**(6/7))**35 assuming y is positive.
y**(-3231/7)
Simplify (((m**(14/3)*m)/m*m)/(m**(28/3)/m))/((m**(1/3)/m)/m**(-6)) assuming m is positive.
m**(-8)
Simplify (f**7*f*f**2*f)**(-26)/(((f*f*f/(f*f/f**(-1/2)))/f*f)**(-13)*(f**5/f)/(f/(f/(f/(f/(f**(-5/6)*f))))*f)) assuming f is positive.
f**(-847/3)
Simplify ((((t/t**(3/7))/t*t)/t**(-1/4)*(t**(2/3))**1)**(-3/8))**(-46) assuming t is positive.
t**(2875/112)
Simplify ((m*m*(m**2/m)/m)**(-8/7)*m**(7/8)*m**(-1/3)*m)**(-21) assuming m is positive.
m**(125/8)
Simplify ((c**1)**11)**25/(c**(-1/6)/c**(-2/17))**(22/9) assuming c is positive.
c**(126280/459)
Simplify ((h/h**(-2/83))/h*h*h/(h/(h*h**(-2/11)))*h/(h*h/(h*h**(-27))*h)*h**(-42)/h)**10 assuming h is positive.
h**(-631410/913)
Simplify (((s/(s**(4/3)*s*s*s))/(s/((s*s/s**(1/4)*s)/s)))/(s**(-1))**(-10/13))**(7/10) assuming s is positive.
s**(-3661/1560)
Simplify (k**(2/3)/k)**(-1/56)*(k**1*k*k)**(-3/20) | {
"pile_set_name": "DM Mathematics"
} |
ive.
q**(-87/40)
Simplify (((o*o**(5/6))/o*o*o)/o**(-2/23)*(o**(5/4))**(-19))**(4/3) assuming o is positive.
o**(-5749/207)
Simplify (q/(q*q**0/q))**(3/19)*q**(-2/7)*q**(1/3)*(q**(1/9)*q*(q/(q**(-2/3)/q)*q)/q)/(q**4*q/(q/q**2)) assuming q is positive.
q**(-2414/1197)
Simplify ((n*n**(1/29)*n)/(n/(n/(n*(n/n**(-1/25))/n))))/(n*n**(-37/2)*n**(-3/7)) assuming n is positive.
n**(192069/10150)
Simplify (((i**(-2/5)/i)/i*i)/i**(-3))/((i*i/(i/((i*(i*i/i**(1/4)*i)/i*i)/i)))/(i/i**3))*(i/i**(-1))**4*i/i**3*i*i**(-1/3) assuming i is positive.
i**(151/60)
Simplify (((f*f**2)**(-46)*f/(f/((f*f/f**(1/9))/f))*((f/f**(-2/15))/f)/f)**(2/41))**(2/3) assuming f is positive.
f**(-24836/5535)
Simplify (((p/(p**6/p))/(p**(2/15)*p*p))/((p**0*p)/p**(-7)))/(p**(-4)*(p**(2/17)/p)/p*(p**1*p)**(4/5)) assuming p is positive.
p**(-2512/255)
Simplify ((g/(g**(-2/19)*g))**(1/8)/((g**(5/2)/g)/(g*g/((((g**(-2/37)*g)/g)/g)/g))))**(-12) assuming g is positive.
g**(-21657/703)
Simplify (((((o**(-2/27)/o)/o)/o*o)/(o/(o/(o*o/(o**(-1/30)*o)*o))))**(-1))**(-14) assuming o is positive.
o**(-7763/135)
Simplify (s**(-5)*s*s**(-1))**(1/6)*((s**(1/3))**(-2/9))**(-5/16) assuming s is positive.
s**(-175/216)
Simplify ((((x**1)**(-43))**(4/17))**16)**27 assuming x is positive.
x**(-74304/17)
Simplify (d*d/(d/(d/(d/d**(2/3)))))**(2/65)*(d*d/d**1)**(11/2)*((d*d*d/(d*d*d/d**(4/5)*d))/(d*d*(d**(-2/9)*d*d)/d))/(d**(1/4))**(-8) assuming d is positive.
d**(5351/1170)
Simplify (((((v/(v/v**(-7)))/v*v)/v)/(v/(v/(v*v/v**8*v))))/(v/(v*v**(-14)))**(-11/2))**28 assuming v is positive.
v**2072
Simplify (h**15)**(-20)/(h**7/h**(-24)) assuming h is positive.
h**(-331)
Simplify ((g*(g*g/g**(2/17))/g)/g**(-7))/(g**(5/3)*g*g**2)*g*g**(-2)*g**(-1/2)*(g**(-2/7)*g)**(3/5) assuming g is positive.
g**(2245/714)
Simplify ((((d/d**(-4/9))/d)/(d*d/(d*d**(-1/6))))/(d**1)**28)/((d**(-2/7))**(-22)*(d**(-2/3))**(-3/13)) assuming d is positive.
d**(-57595/1638)
Simplify (c*c**(-1/15))/c**(-1/17)*c*c/c**(2/11)*c*c/(c**3/c)*((c/c**(3/5))/(c*c*c/(c**0*c)))/((c/c**(-2/27))/c**0) assuming c is positive.
c**(688/5049)
Simplify ((y/(y*y**(-1/6)/y*y)*y**(-2)*((y/(y*y/(y*y*y*y**(-5/2)*y)*y)*y)/y)/y**3)**(-15/4))**(-2) assuming y is positive.
y**(-40)
Simplify ((r*(r**(1/2)/r)/r*r)**(1/18)/(r*r*r**(-1)*r**6))/((r**(-1/4)*r)**(38/5)*(r*r/(r*r**2)*r)/(r/r**(-7)*r)) assuming r is positive.
r**(-661/180)
Simplify ((r/(r**2/r))**14/((r*r/(r*r**(1/9)*r)*r)/r)**(1/3))**(-11) assuming r is positive.
r**(-11/27)
Simplify (j**(-2/7))**(2/21)*j/(j/(j**(2/5)/j*j))*j/j**(-4/7)*j*j*j/(j*j/(j/(j**(-2/3)/j)))*j*j/(j/j**(1/2)*j)*j*j**6/(j*j**(-1/3)*j) assuming j is positive.
j**(16823/1470)
Simplify ((c**(2/7)/c*c)/c*c**(-9)*c)**15*((c**(-2/9)*c)/c*c*c)**(-1/10)*c**4/(c*c**(-5)*c) assuming c is positive.
c**(-39026/315)
Simplify ((s*(s/s**49)/s)**(-6)*(((s/s**(4/7))/s)/s)**17)**46 assuming s is positive.
s**(84134/7)
Simplify (((w**13/w)/w)**(4/5)/(w**11/w)**(-50))**(-9/5) assuming w is positive.
w**(-22896/25)
Simplify (((x/((x**(-2/3)*x*x)/x))**(-12)/(x*x**(-2/23)*x/x**(-8)))**(-34))**(-1/9) assuming x is positive.
x**(-14008/207)
Simplify q*q**(1/8)*q**(1/29)*q**27*q*q**(-4/23)/q assuming q is positive.
q**(149331/5336)
Simplify (((i**(1/3)/i)/((i*i**(2/17)*i)/i))/((i/i**(1/7))/(i/i**(2/7)*i)))/((i/(i*i**(-2/13))*i**(-7))/(i**7/(i/(i/i**1*i*i)))) assuming i is positive.
i**(64598/4641)
Simplify (((w/w**(4/3))/(w/(w/(w*w**(-9/7)))))/(w**(-1/8))**(22/9))**(2/35) assuming w is positive.
w**(13/882)
Simplify ((p/(p**38/p)*p)/p*p*p*p/(p/(p/p**(5/14))))/(p**(-2/145)/(p*p**(-1/19))) assuming p is positive.
p**(-1249513/38570)
Simplify (w**10*w*w*w**(1/11)/w*w*w**(-5)*w*w*w**(2/5))**(18/7) assuming w is positive.
w**(9396/385)
Simplify (v**3/((v/(v**3/v))/v))**(-5)*(((v*v/(v**(3/5)*v)*v)/v)/v*v*(v*v*v*v*v**(-6)*v*v)/v)/(v**(-6/7)*v/((v/v**(-3/5))/v)*v) assuming v is positive.
v**(-183/7)
Simplify ((((g**(3/17)*g*g)/g*g*g)/((g/(g/(g*g**6/g*g*g*g)))/g)*(g/g**(1/3))/((g/g**(-14))/g))**(9/2))**(-10/17) assuming g is positive.
g**(13890/289)
Simplify (d*((d*d**5)/d)/d*d)**(-34)*(d/(d/((d*d**(-19/6))/d)))**(-1/15) assuming d is positive.
d**(-18341/90)
Simplify (p/(p*p*p**3*p)*p**(2/11))/(p/(p*p/(p*p**0*p)*p))**(4/13)*((p*p**(1/8)*p*p*p*p)/p**(-1))/(p**2*p/(p/(p/p**(-3)*p))) assuming p is positive.
p**(-501/88)
Simplify (((m/(m/((m*m**(2/5))/m)))/(m*m**14)*m**(-4)*m/m**(6/7))**(-26))**(1/45) assuming m is positive.
m**(16796/1575)
Simplify (r**0)**31*(r/r**(5/2))/r**(1/6)*(r/(r*r**1))**(1/52)/((r**4/r)/r*((r*r*r**(-2))/r)/r) assuming r is positive.
r**(-263/156)
Simplify ((l**(1/7)/l)/l**2*l**(-1)*l**(1/5)/l*l)/((l/l**1)**(-8/13)*(l/l**(-5/3)*l)/(l**(1/4)/l)) assuming l is positive.
l**(-3391/420)
Simplify ((((d**15/d)/d)/(d/(d*(d*d**13)/d)))**(6/7))**(-42) assuming d is positive.
d**(-936)
Simplify (u*u**(1/8)*u*u**38)/(u*u/(u*u**7*u)*u**32) assuming u is positive.
u**(121/8)
Simplify p**3/(p**(-2/3)/p*p)*p**(1/2)/p**(2/9)*(p*p**(2/3)/p*p*p*p)**(6/17)*p**(1/4)/p**(1/5) assuming p is positive.
p**(16183/3060)
Simplify ((h**(2/5)/(h*((h/h**(-6))/h*h)/h)*(h/(h*h**(-3))*h)**(-1/3))**(-9/2))**(-2/21) assuming h is positive.
h**(-17/5)
Simplify (j**4*j*j**5*j**(1/4)*j/j**(1/5))/((j**(-5)/(j/((j**(4/3)*j)/j)))/(j**(-1)/j**6)) assuming j is positive.
j**(523/60)
Simplify ((o**(-2/53)/(o*o**(-2/11)*o))/(((o**6/o)/o)/o**(-4/5)))**(2/43) assuming o is positive.
o**(-38804/125345)
Simplify (((l**5)**(-6)/(l**(2/15)/l)**(-15/4))**43)**(-31) assuming l is positive.
l**(177289/4)
Simplify (((f**(5/4)/f)/f)**(-3)*f**4*f*f*f/f**(2/15))**(-25) assuming f is positive.
f**(-2735/12)
Simplify ((q/q**(-1))**(-1/57)/(q*q/(q*q**(-4/7))*q**(2/11)))/((q**(1/2))**50/(q**1)**(-47)) assuming q is positive.
q**(-323857/4389)
Simplify ((w*w*w/((w/w**(1/2))/w))/w*w*w*w)**(1/66)/((w**(-1/9)/w)/w**(-3/4))*(w**(-1))**(-18)/((w**(-1/9)*w*w*w)/(w/(w*w*w**(2/7)))) assuming w is positive.
w**(899/63)
Simplify (l**(-6)/l)/(l/(l/l**(-1/12)))*(l**(2/5))**3*((l/l**3)**(-3/13))**29 assuming l is positive.
l**(5981/780)
Simplify ((o**(4/7)/o*o)**(4/19)*(o*o**(10/3))**(-2/43))**(3/29) assuming o is positive.
o**(-1394/165851)
Simplify (((h**(4/9)/h)/h**(3/13))/(h**(3/5)*h*h**(-13)))**(4/15) assuming h is positive.
h**(24836/8775)
Simplify (((p**(2/17)*p*p)/p)**(14/11)/((p**(-8)/p)/(p*(((p*p**(3/4))/p)/p)/p*p)))**29 assuming p is positive.
p**(242353/748)
Simplify (((a/a**(-2/15))/a**(-4))/((a*a**4)/(a/a**(-1)*a)))/((a*(a/((a**(-1/2)*a)/a))/a)**(-25)*a/(a*a**4)*a*a*a/(((a*a**1)/a)/a)) assuming a is positive.
a**(1249/30)
Simplify (((k**(2/43)/k)/(k/k**(-6/11)))**(5/7))**(-1/76) assuming k is positive.
k**(2955/125818)
Simplify (j/(j**42/j))/(j/j**(-35))*j*j*j*j/((j/j**(-12/13))/j)*j**(10/11) assuming j is positive.
j**(-10298/143)
Simplify (i**(1/13)*i**(2/11))/(i/i**2*i/(i/(i*i*i**7*i)))*(i**9*i*i**(1/7))**(1/5) assuming i is positive.
i**(-33597/5005)
Simplify (l**1/((l*l**(-1)/l)/l)*(l/l**(-3))**(4/11))**17 assuming l is positive.
l**(833/11)
Simplify ((o**4)**(-2/19))**(-38/5)*(o/(o*o**5)*o**(-1/3))/((o*o**(1/3))/o*o)**(3/23) assuming o is positive.
o**(-796/345)
Simplify j**(1/8)*j*j**(-2/3)*j**(-4/3)*j*j**1*j*(j**6*(j**(-3)/j)/j)**27 assuming j is positive.
j**(233/8)
Simplify ((m*m/((m**(2/85)/m)/m)*m*m)/m**29*m**22/m**(2/19))**(-2/29) assuming m is positive.
m**(3646/46835)
Simplify ((u/(u**(-2)*u))**(5/3)*u**(11/3)*u*u**3)**(-10/9) assuming u is positive.
u**(-110/9)
Simplify (a**(-1/3)*a/(((a/(a/a**(-1/4)))/a)/a))**(-35)*a/(a**(-1/3)*a)*a**(-6)*a*a**(-1/2)*a**(2/13) assuming a is positive.
a**(-5569/52)
Simplify (((s**(1/8)*(s/(s*s**(-1/5)))/s)**(-9/10))**(-28))**14 assuming s is positive.
s**(-11907/50)
Simplify ((((o**0/o)/((o/(o/(o**(-1)*o)))/o))/(o*o**(3/10)*o**5/o))**(1/7))**(-34) assuming o is positive.
o**(901/35)
Simplify (((y**(1/2)/y)/(y/(y/(y**(-3/10)*y))))/(y**8*((y/(y*y*(y**(-6)/y)/y))/y)/y))/(y**(2/7)*y**(-2/3)/y)**2 assuming y is positive.
y**(-1201/105)
Simplify ((n*(n/(n*(n/n**(-1/6))/n))/n)/(n/n**(-3/2)))**32/((n*n/n**(2/3))**41/(((n*n**(-1/9)/n*n*n)/n)/(n/n**4))) assuming n is positive.
n**(-1225/9)
Simplify ((s*s*s/s**(2/15))/(s**(-2/15)/s))/((s*s**(-3/4))/s*s/s**(-7))*((s/s**(2/37))/(s*s**(-11/2)))**43 assuming s is positive.
s**(34177/148)
Simplify ((f*f**(2/29)*f**(3/ | {
"pile_set_name": "DM Mathematics"
} |
least common multiple of (42/(-10) - -1)*(-250)/m and 45?
360
What is the least common multiple of (-189225)/(-375) + (-3)/5 and 4?
504
Let x = -73648575/466 - -158044. What is the common denominator of x and -65/14?
3262
Calculate the least common multiple of 6 and -75*2*(-3)/6.
150
Let t(a) = -11*a - 30. Let y be t(-13). Let d = y + -83. Calculate the least common multiple of d and 30.
30
Suppose -3*b + 3 = 4*y - 9, -3*y + 12 = 3*b. Let h = b + 6. What is the smallest common multiple of h and 7?
70
Find the common denominator of 161/66 and -6 - 88/(-16) - 141/(-144).
528
Let k = -1496524979/408 - -3667956. Let l = k - 41/17. Calculate the common denominator of -83/12 and l.
24
Let w be 1*-2*80/(-32). Suppose 0 = -3*g - 2*g - 15, 0 = -w*s + 4*g - 33. Let b = s + 27. What is the lowest common multiple of b and 6?
18
Calculate the lowest common multiple of 12 and (-126)/(3 - 4) - (14 - 16).
384
Calculate the common denominator of 38537/15308 - (0 - -1*2) and -55/2.
172
Let r(g) = -g**2 - 16*g - 40. Let p be r(-13). Find the common denominator of 81/28 and ((-325)/(-24))/(-13) + (2 - p).
168
What is the common denominator of -23/24 and (2/6)/(372/(-1054))?
72
Calculate the common denominator of 137/90 and (-22)/((1 - 1632/(-42)) + 3).
450
Let r(d) = 3*d - 15. Let q be r(6). Let o = 13 - q. Suppose -n = 1, 3*b - b - 18 = -2*n. Calculate the smallest common multiple of o and b.
10
Let a(g) = -5*g**3 - 9*g**2 - 30*g - 14. Calculate the smallest common multiple of a(-5) and 4.
536
Suppose 5*a = 3*a - 7*a. Suppose 8*i - 160 = -a*i. Calculate the lowest common multiple of i and 22.
220
Let n(s) = s**3 - s. Let g be n(0). Suppose g + 72 = 12*x. Calculate the least common multiple of x and 16.
48
Let w(g) = g**2 - 3*g - 4. Let z be w(-3). Suppose 0*a - 660 = -4*a. Calculate the common denominator of a/z*21/18 and 39/10.
20
Let i be 22*2/12*3. Suppose -1 = n - i. Calculate the smallest common multiple of n and ((-18)/(-8))/(6/24).
90
Let s(a) = -4*a - 34. What is the smallest common multiple of 214 and s(-9)?
214
Suppose 40 = 2*k - 5*d, 7*k + 3*d - 38 = 2*k. Suppose 0 = k*p + 2*p - 960. What is the lowest common multiple of p and 12?
240
Let y = 1492301/676940 + 1/15385. Calculate the common denominator of -7/52 and y.
572
Suppose -10*r + 502 = 5*i - 1253, -3*r = i - 354. Calculate the lowest common multiple of 46 and i.
690
Let g = 46779 - 4397147/94. Calculate the common denominator of 27/14 and g.
658
What is the common denominator of (15 - 480/36)/(84/(-22)) and -71/90?
630
Let x = 161567/12 + -13452. Calculate the common denominator of x and -53/28.
84
Calculate the common denominator of (-16)/(-88) + 1677/(-1056) and 71/30.
480
Find the common denominator of 65/3 and -6*(-7)/154*(-34)/20.
330
Suppose 4*o + 4*y = 20, 0*y - 52 = -5*o + 4*y. Calculate the least common multiple of 120 and o.
120
Let s = -9451/126 + 520/7. Find the common denominator of 107/6 and s.
18
Suppose 4*i = 5*m + 204, -4*m - 60 - 94 = -3*i. Suppose -3*z + 5*r + 34 = 0, 4*z - 2*r - i = z. Let p = -9 + z. What is the smallest common multiple of 3 and p?
9
Find the common denominator of (46/12)/(4*(-392)/(-96)) and 13/112.
784
Let o(t) = t**3 + 13*t**2 - 7*t + 18. Let a be o(-13). Suppose -4*s - 21 = -a. Calculate the smallest common multiple of s and 6.
66
Let r = -887/132 - -333/22. Find the common denominator of -3/32 and r.
96
Suppose -13 = -5*v - 3. Let d be (v/6)/(2/30). Suppose 2*p - 44 = 2*u, 0*u + d*u - 52 = -4*p. What is the least common multiple of 22 and p?
198
Suppose 363*w - 367*w + 48 = 0. Calculate the least common multiple of 32 and w.
96
Let i be (8/12)/((-1)/(-12)). What is the common denominator of -43/26 and (-66)/i*(-14)/(-18)?
156
Suppose 6*a - 27 = 3*a - 3*w, 3*a - 23 = -2*w. Suppose -107 = -3*m - x + 2, -a*x = -2*m + 50. What is the common denominator of 13/17 and m?
17
Find the common denominator of -17/104 and (7/(-70))/(-1 - 598/(-590)).
104
Let i = -3 - 3. Let u = -64 - -190/3. What is the common denominator of u and (-99)/308*119/i?
24
Let n = -391083/52 + 7522. Let y = 3305/468 - n. What is the common denominator of -43/32 and y?
288
Suppose -2*c - 5*t + 122 = -52, 3*t - 178 = -2*c. What is the least common multiple of 36 and c?
828
Suppose 3*u = 2*u + 7. Let t(c) = -c - 7. Let a be t(-10). Suppose -a*p - 10 = -43. Calculate the smallest common multiple of u and p.
77
Let k = 339 - 335. Suppose -4*w - 5*h + 71 = 0, 2*w - 3*w + h = -11. Let g = w + -5. What is the lowest common multiple of k and g?
36
Suppose 0 = 25*s + 39*s - 14336. What is the least common multiple of s and 196?
1568
Suppose f + 7762 = -4*d - 15806, -2*f = 8. Let x = d - -35243/6. Let q = 1127/18 + -244/9. Find the common denominator of x and q.
6
Let j(d) = -41*d**3 + 2*d**2 - d. Let k be j(2). Calculate the common denominator of ((-1)/(-28))/((-6)/(-108)) and 4 - (-4 + k/(-20)).
70
Let z = -66/17 + 985/153. Let r = 9163/4710 - -10/471. Find the common denominator of z and r.
90
Let s = -3 - -5. Suppose -s*q + 52 = -54. Suppose -q = -5*g + 5*j - 8, 0 = -2*g - 3*j + 18. Calculate the smallest common multiple of g and 12.
36
Let d be 120/(-50)*(-54339)/16. Let j = -8154 + d. Calculate the common denominator of -27/10 and j.
20
Suppose 0*c = -4*c - 5*w + 21, c = 3*w - 16. Calculate the common denominator of (-182)/80*55/(-22) and (-28)/16*10 + c.
16
Let x = -89 + 83. Calculate the common denominator of 19/38 + (-142)/x and 2 + (-2)/(-20) - 1.
30
Let j = -2/649 - 4327/70092. Calculate the common denominator of -119/108 and j.
108
Let h(i) = -i**3 - i**2 + 4*i - 3. Let v be h(-4). Let z = 173/6 - v. Find the common denominator of z and 315/(-72) + -9 + (0 - -1).
24
Suppose -46 - 4 = -5*p. Let x(t) = t**2 - 9*t - 5. Let q = 1 + 0. What is the least common multiple of q and x(p)?
5
Suppose 3*k = -i + 23, -3*k + 2 = -13. Suppose -p + 12 = i. What is the common denominator of -3 + 3 + 26/p and -29/4?
4
Suppose 29*g + 131 = 7990. What is the least common multiple of g and 4?
1084
Let h(o) = 3*o**2 - 4*o - 22. What is the lowest common multiple of h(-4) and 48?
336
Suppose -3*k + 0*k - g = -45, 0 = -4*g. Let v(l) = l**3 - 6*l**2 + 8*l - 6. What is the smallest common multiple of v(5) and k?
45
Let y be 348/(-42) - (-2)/7. Let a(h) = h**2 + 8*h + 4. Let d be a(y). Suppose -8*u = -d*u - 80. Calculate the smallest common multiple of u and 12.
60
Let o = -86739 - -11536482/133. Let u = o - 15080/4389. Calculate the common denominator of 43/33 and u.
33
Let v = -52 + 45. Find the common denominator of 47/30 and (((-156)/v)/3)/((-351)/91).
270
Let k be (483468/96)/(2 - 3602/(-4)). Let c = k - 47/361. Find the common denominator of c and (2/(-3))/(64/262).
240
What is the common denominator of (-15)/120*146/(-5) and 32/3?
60
Let f = -14/219 + -3521/876. Calculate the common denominator of f and -57/44.
132
Let v be (-13 - -14) + -1*1. Suppose -4*o + 3*j + 35 = -4, v = 4*o + 3*j - 57. Calculate the least common multiple of 4 and o.
12
Let c = 266/5 - 2119/45. Calculate the common denominator of 12/40*(66/(-9) - -7) and c.
90
Suppose -j - 29 - 35 = 0. Let o = -40 - j. What is the smallest common multiple of 14 and o?
168
Calculate the lowest common multiple of 15 and (50/(-15))/((-6)/99).
165
Let r be (-728)/(-6) - (-20)/30. Suppose -r = -5*g - 2. Calculate the least common multiple of 20 and g - (4 + -2 + 0).
220
Let t be 2/(-4)*(1 + -5). Suppose t*v - 3*v = -2. Let k = -293 + 298. Calculate the lowest common multiple of v and k.
10
Suppose -4*w - 84 = 4*u, 5*w = 2*u + 33 + 30. Calculate the common denominator of 375/u*(-2)/(-5) and ((-4)/64)/(5/(-115)).
16
Suppose -2 = m - 3*o - 6, -m + 5*o = -6. Let j = 4 - m. Suppose j*y - 5*p = -11, 2*y + 2 = 3*p - 4. What is the smallest common multiple of y and 1?
3
Let f = 69 + -102. Let m = f + 44. Let k = 14 + -7. Calculate the smallest common multiple of k and m.
77
Let g(v) = v**3 - 4*v**2 + 2*v + 16. Calculate the smallest common multiple of g(0) and 16.
16
What is the common denominator of -1 + (-8146)/(-5472) - (-20)/(-90) and 37/12?
912
Suppose -5*n + 44 = 2*c - 15, c = 5*n + 22. What is the lowest common multiple of c and 24?
216
Let u = 5525/16 - 345. Calculate the common denominator of u and -49.
16
Let v be (-15)/1*(3 - 1). Calculate the comm | {
"pile_set_name": "DM Mathematics"
} |
pose 11 = -5*w - 3*j, 0 = 6*w - 5*w + j + 1. Let m = -3 - w. Let i(d) = -d**3 - 6*d**2 - 3*d + 14. Let b be i(-5). Which is smaller: m or b?
m
Let x = 1 - 1. Let q = 1.09 - 1. Let y = 0.01 + q. Is y < x?
False
Let m = 11 + -7. Let o = m - 6. Which is bigger: 0 or o?
0
Suppose h - 54 = 10*h. Does 0 = h?
False
Let a = 0.1 - -0.1. Let k = 7 + -1. Suppose -k*q = -2*q + 4. Is a smaller than q?
False
Let q = -5 - 16. Which is smaller: -0.2 or q?
q
Let z be (16/40)/(1/(-5)) - -1. Is z greater than 3/37?
False
Let k(b) = -b**3 + 4*b**2 - 5*b + 2. Let f be k(3). Let g be 3*(4/(-6) + 2). Suppose -2*z = 4 + g. Are f and z nonequal?
False
Let a = -45 + 133/3. Let i = -0.02 + 0.02. Which is smaller: a or i?
a
Let x = 7 - 12. Suppose 14 + 14 = -4*y. Which is bigger: x or y?
x
Let h = 1 + 3. Suppose -h = 3*w + 5. Is -1 at least as big as w?
True
Let r = -688/835 - -4/167. Let n(i) = 2*i - 1. Let b be n(3). Suppose 4*l = b*z + 20, -4*z - 4 = l - 9. Which is bigger: r or z?
z
Suppose -3*d = 2 + 1. Let a = 9 + -6. Suppose -f - a = -0*f. Which is bigger: d or f?
d
Let b = -2 + 2. Let m be 0 - ((-148)/(-3) + -3). Let r = m + 46. Which is smaller: r or b?
r
Let m = 8 + -8. Which is smaller: m or 4/9?
m
Let j be (-2)/9 - 14/18. Suppose g = -4*g + 5*s + 5, 5*s - 35 = -5*g. Suppose -2*k + 2 = g*o, -7 = -3*o - 4. Is j not equal to k?
False
Let u = 0.016 - 2.116. Let v = 1 + 1. Let b = v + u. Is 0.5 greater than b?
True
Let d = 99 - 43. Let o = d - 278/5. Which is smaller: 1 or o?
o
Let z = 16 - 81/5. Is 0 smaller than z?
False
Let p be (40/(-6))/(8/660). Let k be (-8)/(-44) - (-34)/p. Is k != 0?
True
Suppose 0*m = -3*m + 6. Let x be 63/(-4)*(-8)/(-3). Let r be 38/x + m/2. Which is greater: 1 or r?
1
Suppose 45 = -6*l + l. Let d be (-6)/l - (-32)/(-30). Let z be -2 + (-2)/(-1*2). Is d less than z?
False
Suppose 3 = 2*j - 1, 6 = -2*u + 4*j. Let d be 1 + 1 + 16/(-10). Which is greater: d or u?
u
Let d = -30 + 26. Let f be ((-2)/4)/((-2)/4). Let z be f + d/3 + 1. Which is smaller: 0 or z?
0
Let u = 1 - -5. Suppose w = 3*w + u. Which is greater: w or -3/2?
-3/2
Let a = -3 - -2. Let f = a + 1. Which is smaller: -1 or f?
-1
Let l = -7 + -5. Let d = l - -18. Let v = d - 2. Is v greater than or equal to 1?
True
Let a = 6 + -6. Let c = a - 6. Let v be (c/(-20))/(8/(-10)). Is v not equal to 1?
True
Let y be ((-1)/8)/((-9)/(-34)). Let u = 43 - 385/9. Let l = u + y. Which is smaller: 1 or l?
l
Let j(w) be the third derivative of w**4/12 - 11*w**3/6 + 2*w**2. Let x be j(6). Are 3/10 and x equal?
False
Suppose 4*c - 2*c = 0. Suppose 5*r - r = 3*o - 164, r + 2*o + 30 = c. Let n = 153/4 + r. Is n smaller than 1?
True
Let t be 238/6 - (-1 + -1). Let u = t - 41. Let x = -2.6 + 2.5. Which is bigger: x or u?
u
Suppose j + 28 = 3*j - 5*n, 5*j = n + 24. Suppose -2*y + j*y + 14 = 0. Let f be y/(-15) - 1/(-5). Which is bigger: f or -4?
f
Let q = -95 - -72. Is q at most as big as -24?
False
Suppose b - 2*b = -4*y - 14, 3*y + 3 = -3*b. Suppose 0 = x - 4 - b. Let d be 1/3 - 14/(-3). Is x at least as big as d?
True
Let y be 6/(-45) + (-31)/105. Is -1 < y?
True
Let w = -9 - -4. Let u = 1.61 + -0.67. Let o = u - -0.06. Which is smaller: w or o?
w
Let j = 5 + -1. Suppose -j*o - 9 = -5. Which is bigger: -2 or o?
o
Suppose s + 25 = 6*s. Let m(b) = -b**2 + 6*b - 4. Let q be m(s). Let h be (2/(-20) + 0)*-2. Which is smaller: h or q?
h
Let u = -1 - -1.1. Let x = 0 - u. Let r = 4.9 - 5. Is r smaller than x?
False
Let z be 10/85*4/(-8). Is 0 > z?
True
Let g(n) = -n**2 - 9*n - 9. Let x be g(-7). Suppose 0 = -3*t + 12, x*b = 2*t - 14 + 1. Is 2 > b?
True
Let w be (1/6)/((-100)/(-225)). Which is greater: -1 or w?
w
Let y(a) = 4*a**2 - 4*a + 4. Let j(q) = q**2 - q. Let n(c) = -5*j(c) + y(c). Let z be n(0). Suppose z*h + 9 = -3. Is h greater than or equal to -5?
True
Suppose -3*h = -h + 18. Let b = h + 11. Which is greater: b or 3?
3
Let o = 530 - 4756/9. Is o greater than or equal to 3?
False
Let h(f) be the third derivative of -f**4/8 + 3*f**3/2 - 3*f**2. Let q be h(4). Are -2 and q nonequal?
True
Let m be ((-24)/(-9))/(-2)*3/2. Is -9 >= m?
False
Let m = 1.8 + -1.73. Let v = 0.07 - m. Which is greater: v or -3?
v
Let t(v) = v**2 - 9*v - 3. Let w be t(8). Let a be (8 + w)*2/(-3). Which is smaller: a or 5/6?
5/6
Let l = 127 + -259/2. Let t = 5 - 3. Suppose -t*d + 5 = 13. Is d < l?
True
Let j = 10 - 28/3. Which is smaller: -0.04 or j?
-0.04
Let g(y) = -y**3 - 4*y**2 + y. Let p be g(-5). Suppose -3*j + 12 = -2*b - 2*b, -5*j + p = -3*b. Suppose b*d = -2*d. Which is greater: -1/6 or d?
d
Let s = -11.08 + 11. Let g = -0.92 + s. Which is smaller: -0.1 or g?
g
Let i = 63/2 + -30. Let n = 23 - 21. Which is smaller: n or i?
i
Let s = -2.52 + 2.4. Let d = 0.42 + s. Is d smaller than -4/5?
False
Let x(d) = -3 + 2 + 0*d - 2*d**2 - d - 2*d. Let l be x(-2). Let j = 0 - 2. Do l and j have the same value?
False
Let v = -0.18 - -0.08. Let p be 219/(-135) - (-2)/9. Is p less than v?
True
Let a = -3 - -4. Let z(p) = -p**2 + 2*p - 1. Let c be z(a). Suppose -n + 1 = -c. Is 2 less than n?
False
Let k = -0.16 + 2.16. Let b = 2 - 2. Which is smaller: b or k?
b
Suppose -z - 4 = -4*n + 5, -n = -3*z + 6. Suppose n*f - 2*f = -2. Which is smaller: 1 or f?
f
Let c(h) = 3*h**2 - h + 1. Let g = -5 + 6. Let z be c(g). Which is bigger: 3/2 or z?
z
Suppose -2*w - 10 = 3*p, 5*w + 5*p = 4*p + 1. Is -2/73 <= w?
True
Let n(m) = m + 9. Let c be n(-7). Suppose 0 = c*y + 3*i + 21, -4*y - 4*i = -0*y + 52. Let p be (-1)/3*y/(-21). Is 1 equal to p?
False
Let n = 0.95 + -1.1. Let s = -0.25 - n. Is -10 != s?
True
Let z(a) = a - 2. Let b be z(6). Suppose -2*r - 2*r - b = 0. Let y be (-3 + 3)*r/(-2). Is y at least 0?
True
Let z = 12 - 12. Suppose z = 8*x - 12*x - 12. Let r be (-4)/2 - (1 - -1). Which is greater: r or x?
x
Let w = -366/13 + 28. Suppose 5*u - j = 135, 2*j + 3 - 123 = -5*u. Suppose -13 = -2*y - 3*a, -5*a = -y - 0*y - u. Which is bigger: w or y?
w
Let z(m) = -4*m**3 + 0*m**2 - 2 - 6*m**2 + 3*m**3. Let f be z(-6). Let v be (-2)/(2*f)*-2. Which is greater: -3 or v?
v
Let c = 128 + -126.22. Let w = c - -0.22. Which is smaller: w or -2/9?
-2/9
Let o(n) = n**3 + 3*n**2 + 10*n + 5. Let s be o(-2). Let x(z) = z**3 + z**2 - 2*z + 1. Let d be x(-3). Is d at most s?
True
Let x = 0 - -1/4. Let r = 135/7 + -19. Is x equal to r?
False
Let g be 10/4 - 1/2. Let s be 4/(-6)*15/g. Which is smaller: s or -4?
s
Let w(t) = t**2 - 9. Let x be w(0). Let l = 8 + x. Is l at most 0.1?
True
Let y(t) = t**3 - 8. Let g be y(0). Let j be ((-7)/g + -1)*2. Is 2/5 >= j?
True
Let n be (-2)/6 + 30/9. Let k = -5 + n. Suppose -f + o = 3, 2*o = 4*o - 2. Is k not equal to f?
False
Suppose 0 = l - 6*l + 30. Let p be (20/l)/((-11)/33). Is -10 != p?
False
Let u = 1.94 + 0.06. Let c(z) = 8*z + 11. Let n(f) = 3*f + 4. Let d(h) = 4*c(h) - 11*n(h). Let t be d(2). Which is greater: u or t?
u
Let x(a) = 5*a**3 + 5*a**2 - a + 2. Let v(j) = -j**3 + j - 1. Let m(i) = -4*v(i) - x(i). Let z be m(-4). Is -3 at least z?
False
Let f be 1/4 - 1/4. Are f and 4 equal?
False
Let g = -1 + 3. Let l = 3954 - 11720/3. Let b = l + -47. Is g < b?
False
Let y = 5 + -2. Let n = y + 6. Which is smaller: n or 1?
1
Let x = 143/7 - 4154/203. Which is smaller: 0 or x?
x
Suppose -3*g = -0 + 6. Suppose 4*m + 3*d - 11 = 0, -3*m + 0*m - 3*d + 9 = 0. Let n = g + m. Which is smaller: -1 or n?
-1
Suppose 3*w - 16 = 5*l, 3*w + 2*l = 5*w - 4. Let m be 1 - (-1 - -6)*1. Is m less than or equal to w?
True
Let a(x) = -x**2 + 2*x + 2. Suppose -5*y + 9 = -3*y + c, 2*y = 4*c - 6. Let m be a(y). Is m < -1?
False
Let q(w) = 2*w**2 + 7*w - 3. Let y be q(-5). Is y bigger than -1?
True
Let h = 1827/11 - 166. Which is bigger: 0 or h?
h
Suppose 19 = -5*h + 3*f + 85, 4 = -2*f. Is h <= -1?
False
Let w be (-48)/(-9) + (-1)/3. Suppose -4 = -w*b + 1. Is b bigger than -1/3?
True
Let u = 1.4 - 0.8. Let w = -0.4 - u. Let x = -0.7 - w. Which is smaller: 2/7 or x?
2/7
Let f = -0.5 - -0.3. Let r = 0.1 + f. Suppose 0*p + 3 = -3*p. Which is greater: p or r?
r
Let z be (4/(-18))/(14/11550). Let a = z + 179. Is -3 < a?
False
Let m = 11 - 11.2. Which is smaller: m or -0.1?
m
Let v = -21 - -13. Let j be (-42)/v + (-6)/(-8). Suppose -m - j = -3*b, 0 = 3*m - 2*m + b - 2. Which is bigger: m or 2?
2
Let h(b) = b**2 - 11*b. Let t be h(11). Which is bigger: | {
"pile_set_name": "DM Mathematics"
} |
ch is the closest to -1.3? (a) 69 (b) 21 (c) -3 (d) -0.12 (e) -5
d
Which is the closest to -2? (a) 3/4 (b) -0.114 (c) -1711 (d) 4 (e) 5 (f) 6
b
What is the nearest to 26 in 0.4, 10, -4, -5997?
10
Which is the closest to 1.3? (a) -33 (b) -6509 (c) -1/4
c
What is the closest to 0.07 in -2.47, -2, 4, -4?
-2
What is the closest to 10 in -0.3, 117.1, -0.5?
-0.3
What is the nearest to 305 in 1, -137, 0.13, -5, -0.3, -2?
1
What is the closest to 11 in 0.4, 2, -40687, 0.06?
2
Which is the nearest to 1/102? (a) 3 (b) 196 (c) -2/9 (d) -0.2 (e) -1.3
d
Which is the closest to -3/11? (a) -1482 (b) -1/4 (c) 20 (d) 5 (e) 4
b
What is the nearest to -1/2 in 1/2, 7, 6/7, -3/22, 230?
-3/22
Which is the nearest to 1? (a) 3/4 (b) 1.550478 (c) 2/19 (d) -1/8
a
Which is the closest to -37917427/4? (a) -1 (b) 3 (c) -0.1 (d) 0.4
a
Which is the nearest to 0? (a) 2/105 (b) -24 (c) 19 (d) 5 (e) -1 (f) 2/7
a
Which is the closest to 1? (a) 0.1 (b) 4 (c) -4 (d) 8 (e) -30/293
a
Which is the closest to 72396? (a) -1/4 (b) -2/5 (c) 113
c
What is the nearest to 334768 in -1, -0.4, 1/14?
1/14
Which is the closest to 4? (a) -136 (b) 2/19 (c) -0.02737 (d) -2
b
Which is the nearest to -0.1? (a) 8 (b) 4 (c) -1214 (d) -1/4 (e) 19.9
d
What is the nearest to -2 in 3070, 3/7, -0.5, 5, -5?
-0.5
Which is the nearest to -7/8803? (a) -6 (b) 20 (c) -4 (d) -1/2
d
What is the nearest to 200/9 in 84, -46, 0.5?
0.5
Which is the closest to -1? (a) 2579 (b) -17 (c) 4/31
c
Which is the closest to 0.1? (a) -11/30126 (b) -3/4 (c) -5/4 (d) -714 (e) -0.2 (f) -1/4
a
Which is the nearest to 0.0495? (a) -50 (b) -48/11 (c) -0.2
c
What is the nearest to -152 in 7, -4, -45/19?
-4
What is the nearest to -446 in 0.2, -2/3, -8, -0.4?
-8
Which is the nearest to -1? (a) 2/5 (b) -1/2502772 (c) 26
b
Which is the nearest to 2? (a) 0.3 (b) -10489 (c) 0.5 (d) 2/7 (e) -3/4 (f) -1
c
Which is the closest to -2/3? (a) -11976 (b) 0 (c) 2/9 (d) -2 (e) -0.2
e
Which is the nearest to 0.3797? (a) -4 (b) -0.5 (c) 0.1 (d) 388 (e) 5
c
What is the nearest to 1 in -3.28, -3/5, 2/7, -4, 124?
2/7
Which is the closest to -1/4? (a) -0.02 (b) 10 (c) 4/31 (d) -40 (e) -4
a
Which is the nearest to -2/9? (a) 2/17 (b) 0.3 (c) 4 (d) -0.3 (e) 1873304
d
What is the nearest to 196 in 157, 1/3, 2?
157
What is the closest to -7/4 in 302, -1, 37, 4/9, 1/3?
-1
Which is the nearest to 3/5? (a) -0.5 (b) -0.4238 (c) 19.89
b
Which is the closest to 0? (a) 10 (b) -3 (c) 1/8 (d) -2/7 (e) -41
c
Which is the closest to 0.04? (a) 0.6 (b) 2/7 (c) 1/2309 (d) -4
c
What is the nearest to -2/5 in 83, -3/2, -0.3, 4, -201?
-0.3
Which is the closest to -1? (a) -59/4 (b) -11/2 (c) 5 (d) -36
b
Which is the closest to 25? (a) 4 (b) 2 (c) 0.2 (d) 7/2 (e) -2 (f) -27
a
Which is the closest to 2/23? (a) 360 (b) 2 (c) -3/7 (d) -0.4 (e) 0.119
e
Which is the nearest to 7? (a) 1 (b) -3/7 (c) 6/5 (d) 4 (e) 15
d
Which is the nearest to -2/5? (a) -2/3 (b) 5 (c) 3/2 (d) 299697
a
What is the nearest to 54 in -52, -32/3, -12, 3?
3
Which is the closest to 1? (a) 1/2 (b) 0.0418 (c) -20 (d) 0.3 (e) -4
a
Which is the nearest to 0.01? (a) -2 (b) -3/2 (c) 2/23 (d) 4 (e) 2/33 (f) 5210
e
What is the nearest to -2/9 in -0.2, 2773, -4, -25/3, 0.4?
-0.2
What is the closest to -2 in -2/833, 2/3573, -0.3?
-0.3
Which is the nearest to 1854? (a) 1189 (b) 3 (c) 5
a
What is the nearest to -0.1 in -0.4, -1, -5, -19076, -2/61?
-2/61
What is the nearest to 0 in 1/2456, 0.15, 0, 2?
0
Which is the nearest to 2/7? (a) 0.18 (b) 0.4 (c) -414 (d) 5/8 (e) -1
a
Which is the nearest to -1/89? (a) -2/47 (b) 5 (c) -13.8 (d) 0.2
a
What is the nearest to -1/4 in 1209, -0.5, 0.3, -2?
-0.5
What is the nearest to 0.16 in 1504, -1/4, 0.2, 1?
0.2
Which is the closest to 0.5? (a) 10 (b) -7191 (c) 0.4 (d) -0.4
c
Which is the nearest to -2? (a) 78/7 (b) 5 (c) 2/6039
c
What is the closest to -0.1 in -1, 1/4, -5/11, 6/11, 5?
1/4
What is the nearest to 696.24 in 1/12, -2/15, -2, -1/5?
1/12
Which is the nearest to 2485? (a) 0.2 (b) 29 (c) 1 (d) -1
b
Which is the closest to 7.4? (a) -12 (b) 2 (c) 0.4 (d) 8 (e) 0 (f) -0.04
d
What is the closest to -226 in -1, 1, -24, -0.9, 0.1, -3?
-24
Which is the nearest to -3/73? (a) -2/3 (b) 1/4 (c) 3/3902
c
Which is the nearest to -2? (a) -4/11 (b) -154 (c) -4 (d) 19
a
Which is the closest to -157? (a) -3/38 (b) -59 (c) 3/14
b
Which is the closest to 5.1? (a) -23 (b) -3 (c) 799
b
Which is the closest to -46? (a) 2 (b) -5 (c) -0.0163 (d) 0 (e) -3
b
What is the nearest to -1 in -1, 23.3, 421, 1/11, 0?
-1
What is the nearest to -2/17 in 3/739, 8, 114?
3/739
Which is the closest to 2/29? (a) -653.83 (b) -1/6 (c) -7/2
b
What is the nearest to 1/2 in -5, -0.04, -44417, 0.5?
0.5
Which is the nearest to 2/5? (a) 0.4 (b) 2480/69 (c) 5 (d) -1/6 (e) 10/11
a
What is the nearest to -0.1 in -0.175, 1/211, 1, 0.3, 2/7, -0.49?
-0.175
Which is the closest to -15? (a) 4 (b) -560 (c) 17 (d) 0.4 (e) 3/2
d
What is the nearest to 2/1167 in -239, -0.17, 0.4?
-0.17
Which is the nearest to 1/32? (a) 0.1 (b) 2/15 (c) 10936
a
Which is the closest to 1? (a) 103 (b) -3/2 (c) 143 (d) -1 (e) 0.5
e
Which is the closest to -2? (a) -3/7 (b) -3 (c) -131 (d) 3 (e) -563
b
What is the nearest to -4/3 in 4, -0.5, 0.3, 47513565?
-0.5
What is the closest to -0.1 in -4, 1, -1.36, -0.134?
-0.134
What is the closest to 2 in -3/4, 23, -5, -3, 0.36, -23/2?
0.36
What is the nearest to -0.1 in -0.2, -2.577692, -5?
-0.2
Which is the nearest to 4? (a) 3/371 (b) 132/13 (c) -6 (d) 3 (e) 4
e
What is the nearest to -6/23 in 1, -3, 632, 4/45, 0.2?
4/45
Which is the nearest to -0.1? (a) 0.4 (b) -5 (c) -363/218 (d) -2/5 (e) -0.3
e
Which is the closest to -4? (a) 10 (b) 0.1 (c) -1/5 (d) 0.065 (e) 0.5
c
Which is the nearest to 11.2? (a) -2 (b) 1.82 (c) 49
b
Which is the closest to -2? (a) -5 (b) 0.2 (c) 38/735 (d) 0.3 (e) -3
e
What is the nearest to 32 in -0.1005, -0.4, -4, 1.54?
1.54
Which is the closest to 3615? (a) 2/49 (b) 2/5 (c) 5 (d) -2/287
c
What is the closest to -2/3 in 4.8278, -0.4, 2/9, -10.5?
-0.4
What is the closest to -0.5 in -3, 40, 3/17, 1, 3, 78?
3/17
Which is the nearest to 4/5? (a) 1/8 (b) -4/9 (c) -0.04 (d) 0
a
Which is the nearest to -26? (a) 35 (b) -0.086 (c) -2/3
c
Which is the closest to -1? (a) 0.1 (b) 3 (c) 0.12 (d) -11/830 (e) -4/9
e
Which is the closest to 95? (a) -1/9 (b) 15/11 (c) 0.2 (d) -2
b
Which is the nearest to 1? (a) 0.2 (b) -4 (c) 0.0445 (d) -0.088 (e) 0.5
e
Which is the nearest to 0? (a) 0.03 (b) -1/4 (c) -0.2 (d) -2 (e) 801
a
What is the nearest to -2 in 201, 56, -6/5, -4?
-6/5
Which is the closest to -6.14? (a) 2/13 (b) 0.4 (c) 4/5 (d) 4 (e) 3 (f) -1/3
f
What is the closest to -1 in 2/19, 5, 0.4, -13/522, 0.2?
-13/522
Which is the closest to -143/2? (a) -1 (b) -1.4 (c) -21/11
c
Which is the closest to 2/109? (a) 1/5 (b) -8 (c) 5 (d) 5/6 (e) -1/88 (f) -2/15
e
Which is the closest to -1? (a) -1 (b) 2 (c) 0.6 (d) -62 (e) 2244
a
Which is the nearest to -64? (a) 1277 (b) -3 (c) 1 (d) 144 (e) -0.1
b
What is the closest to -1/6 in 0, 5, -17/31, 104/11?
0
What is the nearest to -0.1 in 0.02, -0.5, 6/7, -6, -5/3, -380?
0.02
What is the closest to 4/5 in 148.6, 4, 0, 2/33?
2/33
Which is the nearest to -0.6? (a) 99 (b) 1/13 (c) 2880
b
What is the closest to -13 in 0.2, 3, -20147?
0.2
Which is the closest to 1? (a) -3 (b) 0.1 (c) 0.5 (d) -5 (e) -2155/2
c
What is the closest to 6 in 0.23, -0.1, 1/3, -10, -292?
1/3
Which is the nearest to -1? (a) -345 (b) -1/3 (c) 5 (d) 1 (e) -29 (f) -0.11
b
Which is the closest to -0.02? (a) 0 (b) -6 (c) 0.1 (d) -2/9 (e) 57 (f) -1
a
Which is the nearest to -14? (a) -1/69 (b) 1/4 (c) -0.3 (d) 1
c
Which is the closest to 0? (a) -259 (b) 0.8 (c) -2/15 (d) -47 (e) -5
c
What is the closest to -0.1 in -0.0281, 0.67, -0.1, 7/3?
-0.1
Which is the closest to -0.083261? (a) -4/5 (b) 3 (c) -2/15 (d) -3/10
c
What is the nearest to -10/3 in 40, -5, -0.488, 2?
-5
What is the closest to -189/4 in 1, -2, 14, -3, 9?
-3
What is the nearest to -0.4 in 17/40109, -6, -3?
17/4010 | {
"pile_set_name": "DM Mathematics"
} |
be y(12). Let n = -7 + 4. What is the third biggest value in -0.5, n, o?
o
Suppose m + 0 = 3. What is the third smallest value in 0.2, m, 1?
m
Let o = 12.2 - 12. Let n be (-7)/(-15) + 2/6. What is the third smallest value in n, -5, o?
n
Let i = -6 - -11. Suppose -3*z - 2*v + 8 - 21 = 0, -23 = 3*z + 4*v. Which is the biggest value? (a) i (b) 4/3 (c) z
a
Let v = -49 - -247/5. Which is the third smallest value? (a) v (b) -1/10 (c) 3 (d) -3
a
Let b be -1 + -1 + 33/18. Let s = 55 + -59.9. Let n = -5 - s. What is the third biggest value in 0.2, n, b?
b
Let v = 0.1 + 0.2. Let r be 1/(-16)*-14 + -1. Which is the second biggest value? (a) v (b) r (c) -5
b
Let w = -0.44 - 0.06. Which is the smallest value? (a) w (b) -5 (c) -4 (d) -1/4
b
Let q = -6.07 - -0.07. Let d = 7 + q. Which is the third smallest value? (a) d (b) -0.1 (c) -0.3
a
Let i = 241 + -1209/5. Let s = 0.9 - -0.1. Which is the biggest value? (a) -0.1 (b) i (c) s
c
Let x be 0 - (1 + 2/(-4)). Let d = 923/5 - 184. Which is the smallest value? (a) x (b) d (c) 5
a
Let b(f) = -f**2 - 9*f + 16. Let m be b(-11). Let d be (-7)/4 - (m + 3). Let k = -25/22 + 10/33. What is the second biggest value in k, -2, d?
k
Suppose t = 3*t. Suppose -f - f = t. Let h be (-51)/57 + (1 - f). Which is the biggest value? (a) 2/13 (b) -2/11 (c) h
a
Let m = -0.7 - -2.3. Let f = -0.6 + m. Let o be (-5)/50*(-15)/(-2). Which is the second biggest value? (a) o (b) f (c) -1/5
c
Let q = 0.02 - 3.52. Let n = 3 + q. Let m = 5/6 + -7/6. What is the smallest value in m, 2/3, n?
n
Let m = 0.637 + -0.137. Let u = 3.3 + -3. What is the smallest value in m, u, -5?
-5
Let o = 11.9 - 12. Which is the second smallest value? (a) -0.3 (b) o (c) 0.4 (d) 0
b
Let x = 1376/8775 - 2/675. Which is the third biggest value? (a) x (b) -0.4 (c) -0.3 (d) 5
c
Let y = 0.1 + 0.4. Suppose 7 = f - 2*f. Let a = -7 - f. What is the biggest value in a, y, -3/4?
y
Let s = -0.05 - -0.05. Let z = -0.2 - -0.6. Let d = 0.1 - z. What is the smallest value in s, d, -2/9?
d
Let o = 6 - 3. Let x = -18 + 12.2. Let g = x - -6. What is the third biggest value in g, o, 5?
g
Let n = -24.1 + 24. Which is the biggest value? (a) -2 (b) n (c) 4
c
Let q = 0.12 + 0.28. Which is the biggest value? (a) q (b) -7 (c) 2
c
Suppose 2*z - 15 + 39 = 0. Let s = z + 16. Which is the second biggest value? (a) -5 (b) s (c) -0.8
c
Suppose -x + 3 = -0*x. Suppose x*j = j. Let u = 0.2 - -0.8. What is the second biggest value in -0.2, u, j?
j
Let u = 127/3 - 42. Let l = 0.2 + -0.11. Let k = l - 0.59. Which is the third biggest value? (a) k (b) 4 (c) u
a
Let r = -1.79 + -76.21. What is the second biggest value in -3, 0.5, r?
-3
Let i = 191 - 2863/15. What is the second smallest value in 2/21, i, -5?
2/21
Let h(y) = -4*y - 30. Let v be h(-7). Let n = -2.8 + 3. Let p = n - 0.6. What is the biggest value in p, -2/19, v?
-2/19
Let w = 61 + -61.04. What is the third biggest value in w, -2/11, -0.3?
-0.3
Let p(d) = -4*d**2 - 3*d - 1. Let n be p(-1). Let h(v) = -v + 3. Let r be h(n). Which is the second smallest value? (a) r (b) -3/2 (c) -6
b
Suppose -33 = 4*v - 5*t, -3*v + 4*v - 3*t + 17 = 0. Let j be (20/75)/(2/(-9)). Let r = j - -28/15. What is the smallest value in r, 3, v?
v
Let g = -5 + -4. Let i be (-160)/396 - 2/g. Let f = -2 - -3. Which is the third smallest value? (a) i (b) f (c) -2
b
Let n = -0.407 + -0.053. Let f = 0.16 + n. Which is the smallest value? (a) 0.1 (b) f (c) -3/2
c
Let p = -6 + 2. Let w = -5 - -3. Which is the second biggest value? (a) w (b) -5 (c) p
c
Let s(g) = g**3 - 25*g**2 + 24*g - 2. Let n be s(24). Which is the third smallest value? (a) 3 (b) 2 (c) n (d) 0.3
b
Let j = -163 + 163. Which is the smallest value? (a) j (b) 1 (c) -2/7
c
Let f = 0.7 - 0.2. Let l = -1 + f. Let v = 61 + -60. Which is the smallest value? (a) 0.5 (b) v (c) l
c
Let p = 531/4 - 132. Let k = -1.46 + 1.96. Which is the smallest value? (a) k (b) -0.2 (c) p
b
Let f = 66 - 69. What is the second biggest value in -0.1, -32, 5, f?
-0.1
Let y = 0.2 + -0.2. Let i = 1 + y. Let p = -41.7 - -41.2. Which is the smallest value? (a) i (b) -0.2 (c) p
c
Let j(a) be the first derivative of a**4/4 - 4*a**3 + 5*a**2 + 14*a - 6. Let p be j(11). What is the biggest value in 2/9, p, 0.2?
p
Let k = 1.6 - -0.4. Let f be (-16)/(-9) + 2/9. Let w be (-2)/72 + f/8. Which is the second smallest value? (a) w (b) 1 (c) k
b
Let v = 21 + -20.9. Which is the third smallest value? (a) 14 (b) v (c) -1
a
Let a = -0.11 - -0.62. Let h = -1.09 - -1.1. Let f = a - h. What is the smallest value in f, 0.2, 0?
0
Let w = 0 - 0.4. Let v = 75 - 77. What is the biggest value in 3, w, v?
3
Let f be (-11)/(-2) + 1/(-2). What is the biggest value in f, 0.4, 2/17?
f
Let i be (-1)/3*12/64. What is the biggest value in 1, 2, -1, i?
2
Suppose 7*z - 4*z = -810. Let t = -1893/7 - z. What is the second biggest value in 5, t, -1/2?
t
Let s = -8.524 + -0.076. Let v = s + 9. What is the smallest value in v, -0.8, -1?
-1
Let a be -1*5/((-10)/(-4)). Let c = -216 + 216.1. What is the second biggest value in c, a, -2/5?
-2/5
Let h be 2/2 + 2*1. Let u = -1.5 + 1.5. What is the third smallest value in h, -1, u?
h
Suppose 5*w - 5*g - 9 = 7*w, 4*w = g + 15. Which is the smallest value? (a) w (b) -2/41 (c) 4
b
Suppose -4*f - 16 = -2*v, -2*f = -3*v + 6 - 2. Let y(g) = -5*g**2. Let q be y(3). Let h be (-2)/10 + (-24)/q. Which is the smallest value? (a) h (b) v (c) -1
b
Suppose -3*t + 2*z - 17 = 0, -5*t - 4*z - 2 + 3 = 0. Let d = -2 - -1. Let x = 2/21 + 4/7. Which is the biggest value? (a) x (b) t (c) d
a
Let i be (-2)/12 - (1 + (-47)/30). Which is the smallest value? (a) 4 (b) -8 (c) i
b
Let l = 0.12 - 0.52. What is the second biggest value in 2/21, -0.3, l?
-0.3
Let t = -5 - -2. Let i = -10.5 - -11. Which is the smallest value? (a) i (b) t (c) 1
b
Let t = 8 + -11. Let r = -10 - -28. Let a = r + -13. What is the second biggest value in -2, t, a?
-2
Let c = 123 - 81. What is the biggest value in 0.5, 1, c?
c
Let g = 22.45 - 40.87. Let z = g - -0.42. Let w = -13 - z. Which is the smallest value? (a) w (b) 2 (c) 1/2
c
Let t = 3 + -6. Which is the third smallest value? (a) 0.1 (b) t (c) 0
a
Let p(t) = -t - 9. Let h be p(-9). Suppose -29 = -i - 5*w, h*w = 2*w - 6. Let d be (-3)/(-8)*i/21. Which is the smallest value? (a) 3 (b) d (c) -1/2
c
Suppose 0 = -38*a + 40*a - 4. Let q(p) = p**3 - 4*p**2 + 2*p + 1. Let h be q(2). What is the second biggest value in -2/3, h, a?
-2/3
Let s = 0.049 - 0.549. What is the fourth smallest value in s, 7, -4, 0?
7
Let w = -0.19 - 0.81. Let n = -7 - -10. Let v be 4/(-12) + 16/n. What is the smallest value in v, -5, w?
-5
Let y = -0.04 - -6.24. Let q = -6 + y. Which is the second smallest value? (a) q (b) -3/7 (c) 0.4
a
Let f = -0.3 - -0.5. Let x = -72 + 214/3. Let b = 2.6 - 3. What is the third smallest value in x, b, f?
f
Let s = 16/91 + -6/13. Let o = 4 + -2. Which is the biggest value? (a) s (b) o (c) 1
b
Let g = 22.017 + -0.017. Let s = 21 - g. Let n = 0.3 + -0.5. Which is the biggest value? (a) n (b) 2 (c) s
b
Let p = -1.7 + 1.9. Which is the third biggest value? (a) p (b) -0.5 (c) 3
b
Let z(i) = -4*i**2 - 2*i - 1. Let s be z(-1). Suppose 0 = -r - 3*r + 4. Let g be r/(-3)*(-2 - -4). What is the third smallest value in s, g, -2/11?
-2/11
Let t = -24.3 + 23. Which is the third smallest value? (a) t (b) -2 (c) -2/15
c
Let d = 21 - 29. Let b be 10/(-15)*6/d. Let u be 1 - (0 + 10/8). What is the second biggest value in b, -0.2, u?
-0.2
Let k = -0.03 - -2.23. Let u = -8 + 8.8. Let r = u + k. Which is the second biggest value? (a) 5 (b) r (c) -0.4
b
Let d = 0.14 - 0.04. What is the third biggest value in d, 3/2, -4?
-4
Let a be 6/(-4)*(-1 + 7). Let k be -1 + a/6 - -2. What is the biggest value in k, 5, -4?
5
Suppose -2*x = k + 14 + 7, 5*k - 5*x + 30 = 0. Let h = -19 - k. Let b be (-1)/(-15)*20/h. What is the smallest value in 2, 3, b?
b
Let j(q) = q**2 + 3*q - 4. Let z(u) = u**2 + 5*u + 1. Let v be z(-4). Let s be j(v). Which is the third biggest value? (a) -3 (b) -2 (c) s
c
Let q = 11 + 0. Let d = q - 8. Let u = d + -3.1. Which is the second biggest value? (a) -2/5 (b) u (c) 3/4
b
Let g = 7 + -5. What is the second | {
"pile_set_name": "DM Mathematics"
} |
(c) = c**3 + 15*c**2 + c + 13. Let t be s(z). Put t, -1, d in ascending order.
t, -1, d
Suppose 0 = -g - h, -3*g - 2*g + 6 = 3*h. Suppose g = 2*b - b. Let c(p) = 201*p - 202. Let s be c(1). Put b, s, 6 in descending order.
6, b, s
Let i = -9 - 0. Let p = i + 9. Let c be (p - -3)*(3 + -4). Put c, 4, 5 in decreasing order.
5, 4, c
Suppose -15 = -5*h, 5*v + 7 = -4*h + 8*h. Sort -15, -5, v.
-15, -5, v
Let a = 18.84 + 0.16. Let c = a + -18.7. Let b(l) = -l**2 - 2*l + 1. Let n be b(-3). Sort n, -0.3, c in ascending order.
n, -0.3, c
Let i = -234 + 235. Let f(h) = -h - 3. Let a be f(-6). Suppose -o = -a*t - 2 - 0, o + 4*t = -12. Put o, -5, i in ascending order.
-5, o, i
Suppose -2*p - d - 11 = 0, -4*d = -7*p + 2*p + 5. Suppose 3*u + 5*g - 5 = 0, -6*g + 10 = 4*u - g. Put u, -5, p in decreasing order.
u, p, -5
Suppose 223*b + 66 = 212*b. Put b, -2, -5 in descending order.
-2, -5, b
Let g = 0.9 - 5.9. Let u = 1057999/44 - 24044. Let q = -3/44 - u. Put g, q, -0.07 in increasing order.
g, q, -0.07
Let f be (-1)/1*6/171*-3. Let j = -5.8 - -6. Sort f, 0.5, j in increasing order.
f, j, 0.5
Suppose -2*i + 112 = -88. Suppose 9*v - i = 5*v. Let q be (-2)/(-20)*v/(-20). Put 4, q, -2/3 in decreasing order.
4, q, -2/3
Let o = -1 + 9. Let h = o + -4. Let q(m) = m**2 + 2*m + 2. Let i be q(-2). Put -2, i, h in increasing order.
-2, i, h
Suppose -2*p + 1 = -1. Suppose v = 3*v + 16. Let b be (10/(-10))/(2/v). Sort -5, b, p.
-5, p, b
Suppose -c - 3 + 1 = 0. Suppose -4*h - 16 = -6*h. Suppose -7*v = -3*v - h. Put 4, v, c in decreasing order.
4, v, c
Let r be ((-3)/(-6) + -2)*12/72. Sort -5, r, -4, -0.11 in descending order.
-0.11, r, -4, -5
Suppose 0 = -0*x - 3*x + 36. Suppose x*k - 5 = 7*k. Sort 0, 3, k.
0, k, 3
Let p be 8/(-14)*63/(-234). Sort 0.5, 8, p in increasing order.
p, 0.5, 8
Let p = -20.59 - -21.7. Let a = 0.35 - 0.24. Let z = p - a. Put 0.4, z, 0.2 in increasing order.
0.2, 0.4, z
Let u be (18/(-4))/(-9) + 156/(-24). Put u, 2, -9, -3 in ascending order.
-9, u, -3, 2
Let v be (-2)/3*1*6. Let w be (-5 + 6)*(-1)/3*0. Sort v, 1, w in descending order.
1, w, v
Let k(h) = 6 + h**2 - 3123*h + 3134*h + h**2. Let v be k(-5). Let z = -3 - -7. Sort -4, z, v in decreasing order.
z, v, -4
Let f = 164 + -161. Sort 27, -3, f.
-3, f, 27
Let p be 7*1 - (22 + -4 - 14). Sort 2, -91, -5, p in increasing order.
-91, -5, 2, p
Suppose 18 = -7*q + 4*q - 3*x, 2*q = -x - 9. Let d be (-2)/(-10) - 267/(-15). Put d, q, 1 in decreasing order.
d, 1, q
Let v be (-1 - 0)/((-3)/87 - 0). Let c = 30 - v. Sort 3, -1, -3, c in increasing order.
-3, -1, c, 3
Let m be 22/(-55)*5*2/2. Put m, -10, -6 in descending order.
m, -6, -10
Let m be 6/(-16)*8/(-18). Let s = -284 + 2558/9. Sort s, m, -1 in decreasing order.
s, m, -1
Let x = -18 + 14. Let g = -0.9 - x. Let t = g + -0.1. Sort 0.2, t, -1 in ascending order.
-1, 0.2, t
Let z = -1.9 - -2. Let h be (22/(-40))/(16/64) + 3. Put h, 3/2, -0.1, z in descending order.
3/2, h, z, -0.1
Let d = -397 - -392. Put -46, d, 0, -3 in increasing order.
-46, d, -3, 0
Let c = 1.2 - 5.2. Let t = c - -8. Sort -0.1, 6, -4, t.
-4, -0.1, t, 6
Let d = -0.1612 + 3.1612. Sort -43, d, -0.2, -3 in descending order.
d, -0.2, -3, -43
Let q(h) be the first derivative of -h**4/4 - 7*h**3/3 - 7*h**2/2 - 5*h + 5. Let v be q(-6). Put 4, 5, -4, v in descending order.
5, 4, v, -4
Let l(w) = 6*w - 11. Let a be l(2). Sort 1/14, -0.5, 4, a.
-0.5, 1/14, a, 4
Let p(l) = -l**3 + 2*l**2 + 6*l. Let v be p(-4). Let u = v + -67. Let s(q) = q**2 + 6*q - 2. Let y be s(-6). Put 4, y, u in ascending order.
y, 4, u
Let v = -764 - -763.95. Suppose -3*o - 3*i + 1 = -o, 5 = -5*i. Put 5, o, -4, v in descending order.
5, o, v, -4
Let i = 1 + 0. Let n = 0.6525 + -0.8525. Put n, i, 4, -4 in decreasing order.
4, i, n, -4
Let i be (-6)/8*(-189)/567. Put i, -3/4, -1 in increasing order.
-1, -3/4, i
Suppose 0 = 484*a - 477*a - 28. Let w be (2 - 3/3) + -1. Put w, -42, a in decreasing order.
a, w, -42
Suppose 7*h - 3*h = -20. Let p(y) = 3*y + 198 - 177 - 5*y. Let g be p(11). Put g, 1, h in ascending order.
h, g, 1
Let p be 263/(-263)*(5 + -1 - 0). Let j = -34 + 20. Put p, j, 3, 1 in decreasing order.
3, 1, p, j
Let u = -690 - -690. Put 3, 25, -2, u in decreasing order.
25, 3, u, -2
Suppose 0*h = h + 2, -w - 4*h = 8. Let i be 1/1 + 2*1. Suppose -2 + 11 = -i*o. Put 2, o, w in ascending order.
o, w, 2
Let v = 110 - 109.8. Put v, -1/4, -3.25 in ascending order.
-3.25, -1/4, v
Let s(g) be the first derivative of -g**2/2 - 10*g - 5. Let a be s(-14). Sort 3, -5, a in descending order.
a, 3, -5
Let k = 3.9 + -24.6. Let w = 21 + k. Sort -2/7, -2/3, w.
-2/3, -2/7, w
Let q be (3/45)/((-231)/35 - -6). Put -4, -6/11, q in descending order.
q, -6/11, -4
Let p(h) = -h**3 - 4*h**2 - 6*h - 22. Let t be p(-4). Suppose 0 = -b - 8 + 3. Let z be 14/10 - (-2)/b. Put t, -3, z in increasing order.
-3, z, t
Let r = 114 - 119. Let w(a) = -a**3 + 6*a**2 + 6*a + 9. Let k be w(7). Sort k, r, 5 in descending order.
5, k, r
Let o(k) = -k**2 + 4*k + 4. Let d be o(4). Let z be -2*d/((-6)/3). Sort -6, -4, z in increasing order.
-6, -4, z
Let a be 16/(-3) + (-6)/9. Let g(f) be the first derivative of f**3/3 + 3*f**2 - 3*f - 1. Let p be g(a). Sort -6, p, -4 in descending order.
p, -4, -6
Let u = -0.04 + -1.96. Let j be 3 - 5 - (-29)/26. Let y = 18/13 + j. Put y, u, -2/9 in descending order.
y, -2/9, u
Suppose 14*d = 17*d - 3*r - 12, -3*r = 3*d. Let u(m) = m. Let p be u(3). Suppose -p*n = -n + 10. Put 0, n, d in descending order.
d, 0, n
Let s = -1031 - -1035. Sort -21, 2, -0.5, s in decreasing order.
s, 2, -0.5, -21
Let p = 3 + 0. Let q be 4/14 + 1311/(-399). Sort q, 6, p in descending order.
6, p, q
Let v = 87.88 - -0.12. Let o = v - 92. Put 2, -2, -5, o in ascending order.
-5, o, -2, 2
Suppose 4*i = 5*u + 240 - 36, -51 = -i - 3*u. Sort -2, 1, i in decreasing order.
i, 1, -2
Let i = 78 - 77.1. Let c = i + -0.5. Put 5, -5, c, -2 in decreasing order.
5, c, -2, -5
Let b be (-24)/(-9)*(-6)/4. Let j be (20/90)/(2*(-3 + 53/18)). Suppose 0 = -0*w + 2*w + 6. Put j, b, w in descending order.
j, w, b
Let t = 2667 - 2666.9. Sort -5, -1/2, t, 1/4.
-5, -1/2, t, 1/4
Let y be 8/(-30)*25/(-30). Let q = -8.2 + 8. Let g = q - 0.2. Put g, 1, y in ascending order.
g, y, 1
Let n(x) = 2*x**2 - x + 3. Let c be n(2). Suppose -6*q + c*q - 21 = 0. Sort 2, 4, q.
2, 4, q
Let g = -0.78 - 4.22. Sort 0.5, g, 3.
g, 0.5, 3
Let s(g) = -g**3 + 6*g**2 + 3. Let z be 1 - -2*(-9)/(-6). Let y be 16/8 + 1*z. Let v be s(y). Put -1, v, 5 in decreasing order.
5, v, -1
Let g = -36 + 39. Let b be (1 + 3/(-6))*-6. Put g, b, 5 in decreasing order.
5, g, b
Let f be (4 + 16/(-5))/(4/10). Suppose 0 = 6*r + 8 - f. Let i = 0 + 0.1. Put i, r, 4 in decreasing order.
4, i, r
Let q(t) = t**2 + 2*t + 3. Let j be q(-3). Let r be ((-39)/j)/((-1)/(-4)). Let h = 22 + r. Sort -8, h, -1.
-8, h, -1
Suppose 4*h + 12 = 4*g, 7*h = 5*h - 5*g + 29. Put -16, 3, h, 5 in increasing order.
-16, h, 3, 5
Let c = 1 + -0.5. Let x = 0.14 + 0.66. Let v = x + 1.2. Put 3/7, c, v in decreasing order.
v, c, 3/7
Let i be 203/4*(-12)/(-3). Suppose 3*o = -4*h - 157, 0 = 4*h + h - 3*o + i. Sort h, 2, 4 in decreasing order.
4, 2, h
Let l(j) = j**3 + 6*j**2 - 2*j + 19. Let w be l(-6). Suppose -4*y - 4*f = y - w, -y - 5*f = -23. Suppose 1 + y = h. Sort -2, 0, h in ascending order.
-2, 0, h
Let s = 66 + 37. Let c = s - 103.5. Let g(m) = -4*m - 1. Let a be g(1). Sort a, 2, c in descending order.
2, c, a
Suppose 5*a + 72 = -7*a. Put 0, 5, 4, a in decreasing order.
5, 4, 0, a
Suppose -3*f + 18 - 6 = 0. Suppose 3*g = -3, -g + f*g + 18 = -3*d. Let k be (-6)/18*3/d. Sort 2/3, -0.2, k in decreasing order.
2/3, k, -0.2
Let q(j) = -2*j**3 - 26*j**2 + 28*j + 4. Let k be q(-14). Sort -5, -12, k.
-12, -5, k
Suppose 2*u + 43 + 39 = 0. Let x = -46 - u. Let q = 22/51 + 4/17. Sort -3, x, q in descending order.
q, -3, x
Let l(x) = -x + 10. Let c be l(7). Suppose 5*i + 5*z = -5, 4*z - 1 = -c*i - 2. Sort -1, -2, i in decreasing order.
-1, -2, i
Let p = -0.2 + 8.2. Let j = -2966/5 + 594. Sort -1/5, p, j in descending order.
p, j, -1/5
Let t be (-25)/35 + 8/(-28). Let g be (15/10 + t)*-2. Let w be (-2)/(-9) + (-65)/9. Sort w, 0, g.
w, g, 0
Let r be (3 - -6) + (-10 - -3). Put 0, 19, -3, r in decreasing order.
19, r, 0, -3
Let x = -9 + 6. Suppose -i = -5*n | {
"pile_set_name": "DM Mathematics"
} |
*y + 488807 = 490535 for y.
24
Solve 0 = -237227*l + 236001*l - 98080 for l.
-80
Solve -2843*w = 507*w - 688*w - 130438 for w.
49
Solve -309*h + 628*h - 240 = 331*h for h.
-20
Solve -4207*p = 4251*p - 8730*p - 17408 for p.
-64
Solve 5369*y = -580*y - 12797*y + 18746 for y.
1
Solve 804 - 878 - 2212 = 561*o + 7812 for o.
-18
Solve -204579 = 90*a + 6673*a + 255305 for a.
-68
Solve -859*y + 3898*y - 967*y = 1401*y - 51667 for y.
-77
Solve -157*n = 366*n + 1329 - 36370 for n.
67
Solve 50516 - 13220 = 518*s for s.
72
Solve -1786*i + 8056 = 32764 + 10082 + 18790 for i.
-30
Solve -10825 - 6247 = -592*r + 5424 for r.
38
Solve -4894*x - 7113*x + 65632 - 317779 = 0 for x.
-21
Solve 35532 = 1686*w - 4647*w for w.
-12
Solve -873 = -104*i + 2051 - 5004 for i.
-20
Solve 15356106 - 15355526 = -145*l for l.
-4
Solve -53750 = -860*c + 116*c + 28*c - 359*c for c.
50
Solve -31920849 + 31897181 = -194*w for w.
122
Solve 855*w - 408*w + 334*w = -963*w - 130800 for w.
-75
Solve -112*m - 2955 + 603 = 0 for m.
-21
Solve 258*l + 976*l = 5656*l + 192168 - 28554 for l.
-37
Solve -2627 - 7853 - 664 = 5572*a for a.
-2
Solve 1648*v + 2270*v = 1197*v - 291147 for v.
-107
Solve 1229953 - 1242004 = -117*m for m.
103
Solve -1461866 = 208*g - 1477674 for g.
76
Solve -296*v + 462*v + 39438 = -331*v - 442*v for v.
-42
Solve 1865*b - 28311 = -78666 for b.
-27
Solve 109161*x = 109122*x + 1950 for x.
50
Solve -1677496*b - 1280 = -1677528*b for b.
40
Solve 12399*c - 16646*c - 309302 = 94163 for c.
-95
Solve 0 = -10598*s + 10328*s - 5940 for s.
-22
Solve 92600 = 2*j + 92608 for j.
-4
Solve -156*t - 3978 = -88*t + 238*t for t.
-13
Solve -17496 = -25409095*b + 25409419*b for b.
-54
Solve 85*n - 37355 = -32935 for n.
52
Solve -3015 = 35*c + 52*c - 840 for c.
-25
Solve 0 = -95*k + 12*k - 830 for k.
-10
Solve 532*d - 7034 - 1311 + 1349 = 8432 for d.
29
Solve -6488*i + 7146*i = -27636 for i.
-42
Solve -9889*n - 24072 = -19557*n + 9904*n for n.
-102
Solve -99*q - 115*q = -234*q + 181 - 1201 for q.
-51
Solve -2487*y + 58915 + 37836 = -22625 for y.
48
Solve 3801 - 3175 = 634*r - 10786 for r.
18
Solve -26390*r - 337484 = -31353*r for r.
68
Solve -67811 = -995*j + 363*j - 945*j for j.
43
Solve 73*m - 2746 + 2281 = 15*m + 3827 for m.
74
Solve -481*z + 51513 = 344*z - 157*z + z for z.
77
Solve -146*c - 109*c - 90692 = -1361*c for c.
82
Solve -298*k + 1626*k + 1514*k + 281358 = 0 for k.
-99
Solve -63*u + 16*u = 21*u - 2244 for u.
33
Solve 1837*s - 409*s + 1848 - 23268 = 0 for s.
15
Solve -11*b - 101*b - 35*b - 267 = 1350 for b.
-11
Solve -489*y - 1050 = 879*y - 2066 - 3088 for y.
3
Solve -153*k = 42776 - 45071 for k.
15
Solve 1159*p = -114*p + 15276 for p.
12
Solve 14*y = 729 - 613 + 1158 for y.
91
Solve 10552*r - 11637*r = -18445 for r.
17
Solve 0 = 2*x - 7*x - 18315 + 18290 for x.
-5
Solve 136*j + 10037 - 10725 = -209*j + 14492 for j.
44
Solve 1072895*s - 1074074*s + 13462 + 26624 = 0 for s.
34
Solve -28570 + 291889 + 148166 = 6369*m - 85297 for m.
78
Solve -1468*k + 11443 - 4234 = -3067 for k.
7
Solve -97860 = -1717*q - 1079*q for q.
35
Solve -30842*u + 31374*u = -8512 for u.
-16
Solve 61*p + 13*p - 5*p + 698 + 544 = 0 for p.
-18
Solve 0 = -602*v + 39*v - 583*v + 75636 for v.
66
Solve -657*m = -49732 - 8741 for m.
89
Solve 74*p = -71*p - 244*p + 6613 for p.
17
Solve -6986 = -93*r + 547 for r.
81
Solve 4543 = -33090*p + 33013*p for p.
-59
Solve 386*q + 207*q = 128*q - 30690 for q.
-66
Solve 514*b + 1138 = -55*b for b.
-2
Solve 918*y = 1129*y + 17724 for y.
-84
Solve 205*w + 3815 + 5410 = 0 for w.
-45
Solve 3594 = -438*y - 1224 for y.
-11
Solve 1698*z + 37673 - 165023 = 0 for z.
75
Solve 74 - 74 = -2923*k for k.
0
Solve -21810 = 88*f - 22602 for f.
9
Solve 350 + 637 = -74*o - 197 for o.
-16
Solve -22*i = 174*i - 0*i + 17052 for i.
-87
Solve -26*x - 34*x + 392 + 106 = -1662 for x.
36
Solve 3*n + 3*n + 942 = -12*n - 156 for n.
-61
Solve 10279 - 1393 = -215*r + 16 - 10480 for r.
-90
Solve -118147*p = -118053*p - 2538 for p.
27
Solve 0 = -1448*s - 1198*s + 653*s - 7972 for s.
-4
Solve 107372*f = 107248*f - 6200 for f.
-50
Solve -59*i + 637 = -1070 - 372 - 2700 for i.
81
Solve 12 = -114*y + 15*y + 125*y + 1000 for y.
-38
Solve -271804*t + 272595*t = -82264 for t.
-104
Solve 860 = 14508247*j - 14508333*j for j.
-10
Solve -5355*u + 3009 = 5247*u - 10425*u for u.
17
Solve -11289 = -986*j + 3364 - 1835 for j.
13
Solve -285*y - 3639 + 22217 = 138*y - 17800 for y.
86
Solve -32758*x - 610 = -32819*x for x.
10
Solve -483*r + 119*r - 17059 = 174*r + 1771 for r.
-35
Solve 4975*l + 62636 = -3973*l for l.
-7
Solve 11177*s - 8083*s = -173264 for s.
-56
Solve -24*l - 252 = 253 - 169 for l.
-14
Solve 150*h + 62*h + 163*h = 86*h + 38148 for h.
132
Solve -122*x = 322*x - 81*x + 153*x - 26316 for x.
51
Solve 2518 = -707*v + 5523 + 28091 + 12 for v.
44
Solve 373*y - 9*y = 61*y - 324 - 3009 for y.
-11
Solve -2475 + 6553 = 156*r - 8402 for r.
80
Solve -157*k + 25 = -137*k - 12 - 3 for k.
2
Solve 1622*m - 51268 = 37493 - 131498 - 194075 for m.
-146
Solve -877*s - 2687 = -924*s - 102 for s.
55
Solve -665*k + 3810 = -127*k - 3184 for k.
13
Solve 66*y - 2373 + 2967 = 0 for y.
-9
Solve -166*o - 194*o + 467*o + 61 + 153 = 0 for o.
-2
Solve -28*d + 11028 + 3154 = 98*d + 1834 for d.
98
Solve -28*a - 285 = 26*a - 39*a for a.
-19
Solve 5016 = 3265*c - 3133*c for c.
38
Solve 486*x + 792*x - 65424 = 1095*x - 569*x for x.
87
Solve -860*o - 355*o - 508*o + 219*o - 9024 = 0 for o.
-6
Solve 39928 = -123*s + 1549*s for s.
28
Solve -26*c - 3676 = 3546 - 7560 for c.
13
Solve -6382*b - 6359*b + 19088*b + 3320 = 6430*b for b.
40
Solve 0 = 1529*r - 2333*r - 29748 for r.
-37
Solve -39*s - 81*s - 49*s - 1521 = 0 for s.
-9
Solve -435*w = 692*w - 78685 - 1439 - 23560 for w.
92
Solve -58*h - 19586 = -26372 for h.
117
Solve -3583*o = 212758 - 635552 for o.
118
Solve 11 - 6 = -241*h + 885*h + 5 for h.
0
Solve -90 = 2*u + 135 - 163 for u.
-31
Solve 351164 + 527246 = -14345*u + 831*u for u.
-65
Solve 1538*j + 351 - 2 = 17267 for j.
11
Solve 1119*a - 270 - 168 = -92 - 10417 for a.
-9
Solve -31*r - 512 = -1649 + 579 for r.
18
Solve -575 = 210*x - 308*x - 4495 for x.
-40
Solve -312288*k + 73780 = -311234*k for k.
70
Solve -3337*b - 72213 = -1355*b + 2230*b - 299661 for b.
54
Solve 145*u + 113*u - 23*u = -173*u + 69*u for u.
0
Solve -135*l + 18067 = -8039 + 13416 for l.
94
Solve -365*y + 22375 = -4011 - 6829 for y.
91
Solve -6425*w = -6397*w - 980 for w.
35
Solve -836 = -260*i + 165*i + 3652 + 2542 for i.
74
Solve 379*r + 175*r + 2078*r = -389536 for r.
-148
Solve -1290*q = -2098*q + 999*q + 18909 for q.
-99
Solve -117*r + 17527 = 21154 for r.
-31
Solve 610*p + 619*p + 2300 = 1329*p for p.
23
Solve 85 + 4947 = -304*s - 325*s for s.
-8
Solve 153669 + 52186 = -15835*v for v.
-13
Solve -14219 = 818*x + 20537 - 9398 for x.
-31
Solve 4666*v - 4707*v + 2178 = -348 - 3009 for v.
135
Solve -4146*l - 376675 = -61579 for l.
-76
Solve 497*d + 900*d - 14240 = 38846 for d.
38
Solve -670*x = -614*x - 134 - 648 - 5490 for x.
112
Solve 423*v + 9602 + 29778 = -472*v for v.
-44
Solve 3*h - 10*h - 48*h = -4*h + 1581 for h.
-31
Solve -46249*p + 48976*p + 283608 = 0 for p.
-104
Solve -300*w - 938*w - 15140 - 244895 = 747*w for w.
-131
Solve -6233*c + 4216*c = 193632 for c.
-96
Solve -4983*j - 1873 + 7202 = -9620 for j.
3
Solve -169 = -336689*a + 336676*a for a.
13
Solve 0 = 624*k - 42183 - 12105 for k.
87
Solve -100*x - 3096 = -127*x - 45*x for x.
43
Solve 0 = 35655*z - 35885*z - 2530 for z.
-11
Solve 0 = -11*p - 125*p + 8530 + 3030 for p.
85
Solve 8204 = 1710*r - 290*r + 872*r - 12424 for r.
9
Solve -341*l = 3810 + 1608 + 2766 for l.
-24
Solve -270*x - 46112 = -1711*x for x.
32
Solve -57730 = -4667*r - 133510 - 68897 for r.
-31
Solve -47*v + 4872 = 223*v - 186*v for v.
58
Solve 899 = -3*q + 24*q - 387 - 58 for q.
64
Solve -159*q - 5055*q - 10074 = -177*q for q.
-2
Solve 1297 - 11608 - 11338 = 517*y - 3554 for y.
-35
Solve -37*i - 451 = 27*i - 23*i for i.
-11
Solve 104*w + 4737 + 0 = 1511 - 6238 for w.
-91
Solve 1704*f + 2843*f - 1270*f = 1196 + 11912 for f.
4
Solve 157*f + 164*f - 488*f + 166*f - 41 = 0 for f.
-41
Solve -280*k - 292*k - 1452 = -865*k + 260*k for k.
44
Solve 729*q + 418*q - 329*q + 4312 = -260*q for q.
-4
Solve 372*h - 121*h + 23952 = -248*h for h.
-48
Solv | {
"pile_set_name": "DM Mathematics"
} |
t**4 + 36*t**3 + 0*t + 0*t**2 + 95. Find the third derivative of i(y) wrt y.
102
Let p = 354 - 351. Differentiate -15 - 1 - 9 - 102*i**p wrt i.
-306*i**2
Let u(x) = x**3 - 22*x**2 + 6*x + 13. Let q be u(22). What is the second derivative of -231 + 76*c**3 + 231 - 17*c**3 + q*c wrt c?
354*c
Suppose 89 = 2*u - 47. Suppose 7*h - u + 5 = 0. Find the first derivative of -1 - 1 - 29*i**3 + h wrt i.
-87*i**2
Suppose 109*i - 644 = 102*i. What is the second derivative of -67*a + i*a**5 + 99*a + 3*a**3 - 3*a**3 wrt a?
1840*a**3
Let s = 14 + 5. Find the second derivative of f**3 + 32*f + f**2 - 6*f**3 + s*f + 5*f**2 wrt f.
-30*f + 12
Let r(f) be the first derivative of -7*f**5/5 + 31*f**3 + 3246*f - 1464. What is the first derivative of r(m) wrt m?
-28*m**3 + 186*m
Let i(s) be the first derivative of s**6/15 - s**5/2 - 7*s**2 + 132*s + 203. Let x(r) be the first derivative of i(r). Differentiate x(f) wrt f.
8*f**3 - 30*f**2
Suppose -4*t = 3*z + 115, -5*t + 79 = -0*z - 3*z. Let l = z + 52. Find the third derivative of 11*r**2 - l*r**5 + 19*r**5 - 5*r**6 - 5*r**6 wrt r.
-1200*r**3
Find the second derivative of 5051*n**3 - 4233*n - 7256*n + 5610*n wrt n.
30306*n
Find the third derivative of -74*d**4 + 5049*d**2 - 16*d**3 + 36 - 5081*d**2 + 9 wrt d.
-1776*d - 96
Let s be -25 + 28 + -2*1. Find the second derivative of -1461*w**4 - 2 + 1483*w**4 - s + 17*w wrt w.
264*w**2
Let v(q) be the second derivative of 1559*q**5/20 - 85*q**3/2 - 3*q**2/2 + 5*q + 69. What is the second derivative of v(i) wrt i?
9354*i
What is the second derivative of 571 + 34*b**3 - 9*b + 13*b - 18*b - 2*b**2 + 12*b - 7*b**3 wrt b?
162*b - 4
Let f(h) be the third derivative of 109/6*h**3 + 10/21*h**7 + 0*h**6 + 0*h**5 + 0*h**4 + 204*h**2 + 0*h + 0. Differentiate f(r) with respect to r.
400*r**3
Suppose 15 = 15*k - 12*k. What is the third derivative of -579*a**2 + 614*a**2 - 4*a**k + 7*a**5 wrt a?
180*a**2
Find the third derivative of 684*d**2 + 1316*d**2 + 400*d**2 + 855*d**4 + 843*d**4 + 178*d**2 wrt d.
40752*d
Let g(a) = -9*a - 52. Let n(d) = -5*d - 2. Let t(f) = 6*f + 2. Let r(p) = -4*n(p) - 3*t(p). Let x(i) = 2*g(i) - 6*r(i). Differentiate x(z) wrt z.
-30
Let q = -367 - -369. What is the third derivative of -2*r**5 + 0*r**5 + 54*r**2 + r**4 - r**4 + 2*r**q - 7*r**4 wrt r?
-120*r**2 - 168*r
Let s(t) be the second derivative of 5*t**4/12 - 389*t**3/6 - 13843*t**2/2 - 5790*t. Find the first derivative of s(h) wrt h.
10*h - 389
Let t(v) = -2358*v**3 - 21*v**2 + 47*v + 32. Let d(s) = -2359*s**3 - 18*s**2 + 44*s + 30. Let o(p) = -7*d(p) + 6*t(p). Find the second derivative of o(b) wrt b.
14190*b
Let b(g) = 11*g + 14 - 26*g + 22*g + g**2. Let l be b(-5). Find the third derivative of 88*o**4 + 86*o**4 + 3*o**2 - 179*o**l wrt o.
-120*o
Let s(w) be the first derivative of 10465*w**4/4 + 5027*w - 1666. Differentiate s(z) wrt z.
31395*z**2
Let m(w) = 516*w**5 - 9*w**3 - 217*w**2 + 9*w. Let l(h) = -h**5 + h**3 - h. Let r(f) = 18*l(f) + 2*m(f). What is the third derivative of r(t) wrt t?
60840*t**2
Let y(w) be the second derivative of -w**7/840 - w**5/20 + 5*w**4/4 + 7*w**3/3 - 2*w + 13. Let r(x) be the second derivative of y(x). Differentiate r(v) wrt v.
-3*v**2 - 6
Let p(r) = -7424*r**2 - 4938*r - 22. Let a(d) = -18560*d**2 - 12344*d - 56. Let v(g) = -11*a(g) + 28*p(g). Find the second derivative of v(x) wrt x.
-7424
Let r(n) = -n + 52. Let a be r(20). Let s be ((-152)/a)/((-3)/12). What is the third derivative of -4*x**5 - 3*x**5 - s*x**5 - 32*x**2 wrt x?
-1560*x**2
Find the second derivative of -279 + 5501*x**2 + x - 441*x**5 - 5501*x**2 wrt x.
-8820*x**3
What is the third derivative of 0*y**5 - 7*y**2 - 4*y**5 + 6 - 59566*y + 575*y**6 + 59578*y + 2 wrt y?
69000*y**3 - 240*y**2
Let n = 1 + 2. What is the first derivative of -28*p**2 + 25*p**2 - 108 + n*p**2 - 63*p**3 wrt p?
-189*p**2
Let m(z) = -30*z**2 - 12*z - 232. Let s(v) = -v**2 + v + 1. Let n be (-756)/70 + -2 - (-4)/5. Let q(f) = n*s(f) - m(f). Find the first derivative of q(r) wrt r.
84*r
What is the third derivative of 11*i**5 + 8639 + 2667*i**2 + i**4 - 8642 - 15*i**5 - 6*i**3 wrt i?
-240*i**2 + 24*i - 36
Suppose -5*q + 3*q = a - 10, 4*a - 16 = 0. What is the third derivative of 57*v**q - 69*v**2 + 39*v**3 - 31*v**3 + 119*v**2 wrt v?
390
What is the second derivative of 57*a**3 + 150*a - 143 + a**5 - 57*a**3 + 28 - 175*a - 579*a**2 wrt a?
20*a**3 - 1158
Suppose h - r - 104 = 0, -3*r - 416 = -4*h - 8*r. Find the second derivative of q + 144*q**5 - q**3 - h*q**5 + 32 - 79 wrt q.
800*q**3 - 6*q
Suppose -20*i + 44*i + 77*i = 505. Let f(v) be the third derivative of 0*v + 0 + 11/6*v**3 - 4*v**2 + 5/12*v**i + 0*v**4. Differentiate f(a) with respect to a.
50*a
Let i(b) be the second derivative of 73*b**5/10 + 3*b**3/2 - 4607*b**2/2 - 34*b + 19. Differentiate i(r) with respect to r.
438*r**2 + 9
Find the third derivative of 340*u**2 - 1030*u**3 - 154*u**2 - 417*u**3 + 2*u + 190*u**2 wrt u.
-8682
Let j(u) = 2*u**2 + 5*u + 4. Let g be (-1 + -2)*(-5 + (2 - -2)). Let w be j(g). What is the first derivative of 0*h - 3*h - 8 - 2 + w wrt h?
-3
Let g(j) be the first derivative of -6344*j**5/5 - 3*j**2/2 + 885*j - 3967. Find the second derivative of g(a) wrt a.
-76128*a**2
Let f(g) = -g**3 + 14*g**2 + 15*g + 4. Let c be f(15). What is the derivative of 68 - 443*o**4 + 2*o**2 + 370*o**c - 2*o**2 + 63 wrt o?
-292*o**3
Let o be 2*(2 + (-15)/6). Let k(n) = -13. Let a(i) = -22. Let q(m) = 3*a(m) - 5*k(m). Let g(v) = 5*v**2. Let c(z) = o*g(z) + 6*q(z). Differentiate c(b) wrt b.
-10*b
Let j(c) be the third derivative of -57*c**8/14 - c**5/15 - 5*c**4/8 + c**3/2 - 4*c**2 - 138*c + 1. What is the third derivative of j(n) wrt n?
-82080*n**2
Differentiate -105*a - 676*a + 378*a - 421*a - 1126 - 156*a wrt a.
-980
Let l(g) = 2755*g**4 - 74*g**2 - 6*g + 14. Let f(o) = -8258*o**4 + 223*o**2 + 18*o - 40. Let k(u) = 6*f(u) + 17*l(u). Find the third derivative of k(m) wrt m.
-65112*m
Let x(z) be the first derivative of 4625*z**4/2 + 121*z**2/2 + 4*z + 7402. What is the second derivative of x(a) wrt a?
55500*a
Find the second derivative of -842*i**2 - 2 + 11*i**3 + 456*i + 94*i + 330*i + 384*i**2 + 406*i**2 wrt i.
66*i - 104
Let a(k) = 5*k**3 - 2*k**2 + 5*k - 5. Let q be a(2). What is the derivative of 61 - q + 76 - 3*g**3 wrt g?
-9*g**2
Let i be (-1508)/(-18) - (-4)/18. Find the first derivative of -2 - 27*o - i - 4 wrt o.
-27
Let f(s) = s**2 + 5*s + 8. Suppose -2*b - 1 = -5*g + 29, -2*b - 4*g = -6. Let j be f(b). Find the third derivative of -8627*c + 29*c**3 + 8627*c - j*c**2 wrt c.
174
Let d(j) be the second derivative of -226*j**6/15 + j**3/6 + 45*j**2/2 + 1895*j. Find the second derivative of d(y) wrt y.
-5424*y**2
Let u(x) = -89*x**2 - 534*x + 9. Let y(b) = -2*b**2 - 10*b - 1. Let c(t) = 2*u(t) + 18*y(t). Find the second derivative of c(r) wrt r.
-428
Let m be (-1 + -1)*((-102)/16 + -8 + 12). Let y(q) be the first derivative of 0*q**3 - 20 + 0*q**2 - m*q**4 - 22*q. Differentiate y(g) with respect to g.
-57*g**2
Let v(m) be the first derivative of -111/5*m**5 + 0*m**3 - 57*m - 9 + 0*m**2 + 0*m**4. What is the first derivative of v(l) wrt l?
-444*l**3
Let x(v) be the first derivative of -2*v**6/3 - 3*v**5/5 - v**4/4 + 2*v**3/3 + 3*v**2/2 + 312*v - 3434. What is the third derivative of x(u) wrt u?
-240*u**2 - 72*u - 6
Let c(p) = -354*p**3 + 1847*p. Let v(t) = 351*t**3 - 1846*t. Let r(g) = 6*c(g) + 5*v(g). Find the second derivative of r(q) wrt q.
-2214*q
Let q(t) = -2235*t**2 + 407*t - 3. Let y(l) = -6707*l**2 + 1221*l - 10. Let c(z) = -7*q(z) + 2*y(z). Find the second derivative of c(b) wrt b.
4462
Let t(q) = -q + 4. Let w be t(9). Let m be (24/(-30))/(2/w). Find the second derivative of -2*c**2 + 2*c**2 - c - m*c**3 - 16*c**3 wrt c.
-108*c
Let t(x) = -x. Let z(n) = 1250*n - 1102. Let w(u) = -4*t(u) - z(u). Find the first derivative of w(l) wrt l.
-1246
Let g(n) = -8525*n**2 - 294*n + 4953. Let j(w) = 8527*w**2 + 196*w - 4953. Let z(y) = -2*g(y) - 3*j(y). Differentiate z(b) with respect to b.
-17062*b
Suppose -p - o + 3*o = -6, -17 = -3*p + 5*o. Suppose 5*r = -4*i + 2*i + 86, r - p*i = 26. What is the third derivative of 676 + 21*c**2 - 676 + r*c**3 wrt c?
108
What is the first derivative of 3124*g**3 - 5889 + 7605*g**3 - 3589*g**3 wrt g?
21420*g**2
Let y(z) = | {
"pile_set_name": "DM Mathematics"
} |
hen 182 is divided by x(12).
27
Suppose 0 = 9*m - 49 - 509. Suppose 0 = -6*y + 2*y + 20. Let h(n) = n + 11. What is the remainder when m is divided by h(y)?
14
Suppose 10 + 2 = -4*q - 4*v, 5*q + 3*v = -5. Suppose 5*u - 120 = -0*w - 3*w, -q*u = -w + 51. Calculate the remainder when w is divided by 12.
9
Calculate the remainder when 65/20 + 3 - (-7)/(-28) is divided by 4.
2
Let g(s) = -2*s**3 + s**2 - 8*s - 11. Let m(f) = 3*f**3 - f**2 + 16*f + 21. Let y(v) = 5*g(v) + 3*m(v). What is the remainder when y(-4) is divided by 25?
22
Calculate the remainder when 119 is divided by -2 - 320/(-12) - (-1)/3.
19
Let d = 1077 + -966. Calculate the remainder when d is divided by 19.
16
Suppose 12*i = 2625 - 1041. Let f(g) = 3*g**3 + g**2 - 1. What is the remainder when i is divided by f(2)?
24
Let u = -6031 + 6078. Let a be 0 - 7*(-5 + -2). Suppose 5*q - 169 = -a. What is the remainder when u is divided by q?
23
Suppose -2*r - r = -216. Calculate the remainder when r is divided by (-38)/(3/3)*2/(-4).
15
Calculate the remainder when ((-80)/(-4))/4 + 252 + -16 is divided by 63.
52
Let d = -6 - 110. Let f(s) = -7*s + 178. What is the remainder when 6/(-4)*d/6 is divided by f(24)?
9
Suppose -4*h - 18 = -262. Calculate the remainder when 78 is divided by h.
17
Let f(d) = -8*d - 4. Let j be f(3). Let a = 22 + -37. Let g = a - j. Calculate the remainder when 75 is divided by g.
10
Suppose 40 = -2*q + 3*z + 150, -260 = -4*q - 4*z. What is the remainder when 191 is divided by q?
8
Let t be (15 - 3)/3 - 0. Suppose t*f = 20, 60 + 78 = -3*l + 3*f. Let y = -19 - l. Calculate the remainder when 41 is divided by y.
19
Let d = -2 - -8. Suppose -m = 3 - 30. What is the remainder when m is divided by d/(-24) + (-122)/(-8)?
12
Let a(p) = -p - 9. Let v be a(-12). Suppose -v*g + z = -142, -46 = -2*g + 3*z + 37. Calculate the remainder when g is divided by 25.
24
Let d(t) = -t + 84. Let z be d(28). Suppose z*w = 53*w + 180. What is the remainder when 297 is divided by w?
57
Let s(g) = g - 7. Let z be s(6). Let h(q) = -q**2 - 13*q + 1. Let c be h(-13). Calculate the remainder when 31 is divided by c + z + 1 + 15.
15
Suppose 0 = -5*s + 20, 2*x - 3*s + 112 = 6*x. Calculate the remainder when x is divided by 7.
4
Suppose -j = -2*g - g - 561, 3*j = 4*g + 1683. Suppose j = 5*t + 196. Suppose -2*i + i = -t. Calculate the remainder when i is divided by 19.
16
Calculate the remainder when 132 is divided by 8/(-12)*((-1410)/20)/1.
38
Calculate the remainder when 533 is divided by (-19 - -20)/((-4)/(-308)).
71
Suppose -2*v + 67 = -5*s, -v + s + 125 = 3*v. Let q = 8 + 3. Calculate the remainder when v is divided by q.
9
Suppose 0 = -0*b - 12*b + 504. Suppose -47*k = -b*k - 65. What is the remainder when 50 is divided by k?
11
Calculate the remainder when ((-2106)/(-30) + -9)/((-2)/(-5)) is divided by 7.
6
Let a = 30 + -29. What is the remainder when 13 is divided by (-8)/(-3) + a/3?
1
Suppose 339*a - 578 = 338*a. Calculate the remainder when a is divided by 59.
47
Suppose x + 4*h = 3*x - 24, 0 = 5*h + 20. Suppose -4*u = b - 16, x*b = -3*u - u + 76. What is the remainder when 38 is divided by b?
18
What is the remainder when 1212/6*((165/(-10))/11)/(-3) is divided by 34*(0 + 1 + 0)?
33
Let b(z) = -2*z - 7. Let p be b(-4). Suppose -3*i - 2 - p = 2*g, -5*g = -i - 18. Calculate the remainder when g is divided by 2.
1
Let o(k) = 7*k**2 + 9*k - 7. What is the remainder when 43 is divided by o(1)?
7
Suppose -7*o = -8*o + 3. Suppose -2*y = o*z - 154, -4*y + 3 = -7*y. What is the remainder when z is divided by (-2)/(-8) - (-71)/4?
16
Suppose 3*k + 45 = 5*k + j, -25 = 5*j. Calculate the remainder when 139 is divided by k.
14
Let s(l) = 11*l**2 - 18*l + 13. What is the remainder when s(-6) is divided by 104?
101
Suppose -4*u + 249 = -2*q + u, 2*q + u + 243 = 0. Calculate the remainder when (-13)/52 - q/8 is divided by 4.
3
Let s(a) = -a**2 - 9*a - 10. Let h = -12 - -28. What is the remainder when h is divided by s(-4)?
6
Let j = 1 - -26. Suppose 0 = 4*s - 16, 3*a - s - s = 7. Suppose 36 = a*y + m, 4*y - 5*m + 11 = 34. What is the remainder when j is divided by y?
6
Suppose 8 + 24 = 4*q. Let n = 16 - q. Let l = 43 - n. Calculate the remainder when l is divided by 12.
11
Suppose -v - 2*m + 39 = 0, -66 = -4*v - m + 83. Calculate the remainder when v is divided by (20/(-30))/((-4)/78).
11
Suppose -5*s = -s - 2*h - 218, -4*s = h - 233. What is the remainder when 214 is divided by s?
43
Let m = -20 - -76. Let v(f) = f**3 - 6*f**2 + 8*f. What is the remainder when m is divided by v(5)?
11
Let m = -1544 - -1612. Suppose j + 2*z + 3*z - 19 = 0, 5*j - 2*z - 68 = 0. Calculate the remainder when m is divided by j.
12
Let r(t) = -t**3 + 6*t**2 + 6*t + 9. Suppose -v + 2*v = 3. Suppose 2*q + v = 3*q + 2*g, -4*q + 20 = 4*g. What is the remainder when 5 is divided by r(q)?
1
Let p(n) = 5*n - 13. Calculate the remainder when 83 is divided by p(5).
11
Suppose 11*q = -1007 + 2998. Calculate the remainder when q is divided by 53.
22
Let g = -24 - -25. Let n(q) = q + 13. Let z be n(-10). Suppose -16 = -4*a + 2*v, -a = -z*v - v - 11. Calculate the remainder when a is divided by g.
0
Let v(b) = -b**2 - 3*b + 2. Calculate the remainder when 9 + ((-12)/(-4))/3 is divided by v(-2).
2
Let v = -1974 - -2019. What is the remainder when 264 is divided by v?
39
Let g = 518 - 367. Calculate the remainder when g is divided by 13.
8
Let c = 625 - 571. What is the remainder when c is divided by 5?
4
Suppose -112*s + 475 = -107*s. Calculate the remainder when s is divided by 29.
8
Suppose 224 = 20*j - 256. Suppose 0 = 5*r + 3*t - 47, 4*r - 4 - 12 = 3*t. What is the remainder when j is divided by r?
3
Let f be 1*54*(-5)/(-10). Suppose 0 = 3*l - 5*z - 34, -2*l - 3*z - 4 = -z. Suppose 0*d = -l*d + f. Calculate the remainder when 15 is divided by d.
6
Suppose h = 14 - 1. What is the remainder when (-4)/(-14) - (-4460)/70 is divided by h?
12
Suppose -16*o + 44 = -12*o + 4*v, -o + 20 = 4*v. Calculate the remainder when 414 is divided by o.
6
Let r = 2 + 8. What is the remainder when 4/r + 452/20 is divided by (18/7)/(12/56)?
11
Suppose -16*t - 2*t + 2052 = 0. Calculate the remainder when t is divided by 21.
9
Let z(i) = i**2 + 10*i - 33. Suppose r + 4*r + 5*c = 440, 5*r + 2*c = 446. Calculate the remainder when r is divided by z(-14).
21
Let t be (-1)/(-1 + (-204)/(-207)). Suppose 4*x = 55 + t. Calculate the remainder when x is divided by 4.
3
Suppose 17*u - 14*u = 21. Calculate the remainder when u/(-42) + 254/12 is divided by 8.
5
Let f(o) be the first derivative of o**4/4 + 13*o**3/3 - o**2/2 + 6*o - 5. Let m = -22 + 9. What is the remainder when 55 is divided by f(m)?
17
Suppose 0 = -2*g + 26 - 6. Let m(a) be the third derivative of a**5/60 - a**4/8 + 19*a**3/6 + 16*a**2. Calculate the remainder when m(0) is divided by g.
9
Let v = -13 - -37. Let t(l) be the first derivative of -3*l**2 - 23*l + 32. Calculate the remainder when v is divided by t(-6).
11
Suppose m + 2*l - 10 = 0, -4*l = l - 5. Suppose 0 = -9*h + 4*h - 3*r + 231, 0 = -h + r + 43. What is the remainder when h is divided by m*4/(-6)*-3?
13
Suppose 21*g + 900 = 27*g. What is the remainder when g is divided by 14?
10
Suppose 6*g - 4*g = -38. Let c = g + 37. Suppose 66 = -3*n + 171. Calculate the remainder when n is divided by c.
17
Let u(k) = k**3 - 38*k**2 + 86*k + 142. What is the remainder when u(36) is divided by 81?
79
Suppose 5*i - 7 = -2*o - 1, 5*i = 0. What is the remainder when 20 is divided by 6 - 2 - (-4 - o)?
9
Suppose 12 = -2*b + 8. Let l(v) = v - 1. Let h(d) = 8*d + 2. Let p(i) = -h(i) + l(i). Calculate the remainder when p(b) is divided by 4.
3
Suppose 5*f - 25 = 0, 2*w = -2*w - f + 17. Let q(l) = 13*l + 1. Calculate the remainder when 79 is divided by q(w).
39
Suppose 2*h - 4*h + 22 = 0. Let v be (3/2)/(10/20). Suppose x - 89 = -v*y, x - 42 = -2*y + 17. What is the remainder when y is divided by h?
8
Suppose -f - 10 - 90 = 0. Let z = 113 + f. What is the remainder when 61 is divided by z?
9
Let a = -473 + 888. Calculate the remainder when a is divided by 104.
103
Suppose -104 = 2*m + 2*m. Let u = m + 79. Calculate the remainder when u is divided by 14.
11
Suppose 343 = 13*r + 122. What is the remainder when r is divided by 3?
2
Let m = 139 + -129. What is the | {
"pile_set_name": "DM Mathematics"
} |
ond derivative of -4*a**4 + 4*a**2*f**3 - 3*a**2 - 7*a + 3*f**3 wrt a?
-48*a**2 + 8*f**3 - 6
Differentiate 23*b**3 + 733 wrt b.
69*b**2
Find the third derivative of 413*c**6*x**3 - 2*c**6 + 3*c**2*x + 6*c*x**3 wrt c.
49560*c**3*x**3 - 240*c**3
Find the third derivative of 3*n**5*q - 282*n**3*q - 3*n**2*q + n**2 - 223*q wrt n.
180*n**2*q - 1692*q
Find the third derivative of 608*g**4*i + 2*g**3 - g**2*i + 193*g**2 wrt g.
14592*g*i + 12
Find the second derivative of 1009*w**5 + 33054*w.
20180*w**3
Find the second derivative of 3*a*l**3*o*t - a*l**3*o + a*l**2*o*t + 6*a*l + 2*a*t - 18*l*o - 2*o*t wrt l.
18*a*l*o*t - 6*a*l*o + 2*a*o*t
What is the first derivative of 379*w**4 + 95 wrt w?
1516*w**3
Find the second derivative of -672*n**5 + n**2 - n + 42 wrt n.
-13440*n**3 + 2
Find the third derivative of 490*y**3 - 642*y**2 wrt y.
2940
Differentiate 4*a**2*b*c*x + 6*a**2*b*x + 2*a**2*c*x + 2*a**2*c - 75*a**2*x + 2*b*c with respect to b.
4*a**2*c*x + 6*a**2*x + 2*c
What is the derivative of -2644*h*x**3 - 6320*x**3 wrt h?
-2644*x**3
Find the first derivative of -2183*o + 4318.
-2183
Differentiate 4*i**2*m**4 - 12*i**2*m**2 - 27*i**2 - 1 wrt m.
16*i**2*m**3 - 24*i**2*m
What is the third derivative of 203*s**6 + 321*s**2?
24360*s**3
Find the second derivative of 2*a**2*p**2 - 12*a**2*p + 12*a*p - 12*p**2 wrt a.
4*p**2 - 24*p
What is the second derivative of 3*v**4 + v**3 - 3*v - 82 wrt v?
36*v**2 + 6*v
Find the second derivative of 3*c**5 - 5691*c**3 - 1830*c wrt c.
60*c**3 - 34146*c
Find the third derivative of 6*k*p**5 - 7*k*p - 13*p**3 - 5*p**2 - 2*p wrt p.
360*k*p**2 - 78
What is the third derivative of -8*l**6 - 703*l**5 + 6*l**2 - 483*l?
-960*l**3 - 42180*l**2
What is the derivative of -f**3*q - 1155*f**3 + 734*f**2*q wrt q?
-f**3 + 734*f**2
Differentiate 13912*x**3 - 2*x**2 + 21794.
41736*x**2 - 4*x
What is the second derivative of -9*i**2*j**3 + 223*i**2*j + 67*i*j**3 - 26*i*j wrt j?
-54*i**2*j + 402*i*j
What is the first derivative of -1906*u**4 + 1969?
-7624*u**3
Find the second derivative of 1631*o**3 + 9*o + 7 wrt o.
9786*o
Find the second derivative of -325*c**2*y**3 - 263*c*y**3 wrt c.
-650*y**3
Find the second derivative of -1584*j**2*w**2 + 26*j**2 + 6*j*w**2 - 230*j*w wrt w.
-3168*j**2 + 12*j
Find the second derivative of 6*g**4 + g**3*j**3 + g**2*j**2 + 164*g*j**3 wrt g.
72*g**2 + 6*g*j**3 + 2*j**2
Differentiate 297*m*t**4 + 2*m*t**3*u - 184*m*u with respect to t.
1188*m*t**3 + 6*m*t**2*u
What is the first derivative of -2*f*j*t*u - 7*f*j - f*u - 2*j*t + j*u - j + 16*t*u - t wrt t?
-2*f*j*u - 2*j + 16*u - 1
Differentiate -6*a**2 - 18*a + 386 wrt a.
-12*a - 18
Differentiate -416*u**2 - 105.
-832*u
What is the third derivative of 8728*w**3 + 901*w**2 + 2*w wrt w?
52368
What is the third derivative of 136*j**6 + 83*j**2 + 6*j wrt j?
16320*j**3
What is the second derivative of -q*x**5 - 65*q*x - 197*x**5 - x wrt x?
-20*q*x**3 - 3940*x**3
Find the second derivative of 2*j**4 - 800*j**2 + 113*j + 2.
24*j**2 - 1600
Find the third derivative of -1784*s**3*v**3 - s**3*v - 1068*s*v**2 wrt v.
-10704*s**3
What is the third derivative of -f**5*z + 1161*f**3*z**2 - 289*f**2 + 3*z**2 wrt f?
-60*f**2*z + 6966*z**2
Find the second derivative of 11*b**5*y - 3*b**4*y**2 - b**2 + 2*b*y**2 - 117*y**2 wrt b.
220*b**3*y - 36*b**2*y**2 - 2
Find the third derivative of -t**5 - 2*t**4 + 30*t**3 - 14*t**2 - 3*t + 14 wrt t.
-60*t**2 - 48*t + 180
Find the second derivative of 155*v**5 + 3*v - 6.
3100*v**3
Find the third derivative of -1065*h**4 + 86*h**2 wrt h.
-25560*h
Find the second derivative of -6*h**3 + 6*h**2 - 380*h wrt h.
-36*h + 12
Find the third derivative of 5*f**3*y**3 + 2*f**3*y**2 + 11*f**3*y - 61*f**2*y**3 - 9*f**2*y**2 wrt y.
30*f**3 - 366*f**2
Find the third derivative of -24334*k**3 - 13524*k**2.
-146004
Find the second derivative of 492*a**4 - 72*a - 19 wrt a.
5904*a**2
What is the first derivative of 5*d**4 + 251*d**2 + 2*d + 22639?
20*d**3 + 502*d + 2
What is the second derivative of 10051*a**2 + 4239*a?
20102
What is the second derivative of 86*b**2*o - 839*b*o + 2*o + 3 wrt b?
172*o
What is the third derivative of -10*k**5 + 5*k**3 + k**2 - 9*k?
-600*k**2 + 30
Find the third derivative of 21*b*g*s**3*z - 4*b*g*s**2 + 35*b*g*s*z**3 + 2*b*g*s*z**2 - 10*b*s**3*z**3 + b*s*z**2 wrt z.
210*b*g*s - 60*b*s**3
What is the second derivative of 14*s**5 + 13*s**3*v - s*v - 86*v wrt s?
280*s**3 + 78*s*v
What is the second derivative of 28*r**4 + 136*r wrt r?
336*r**2
Differentiate -346*t + 1387 with respect to t.
-346
Find the third derivative of -6*j**2*n**3*v - 2*j**2*n**2*v**2 - 33*j*n**2*v**2 + 2*j*n*v**3 - n**3*v**3 wrt n.
-36*j**2*v - 6*v**3
What is the third derivative of -4*i**6*z**2 - 169*i**4*z**2 + 1300*i**2*z**2 wrt i?
-480*i**3*z**2 - 4056*i*z**2
What is the third derivative of 3*j**3*w**3 - 2*j**3*w**2 - 3*j**3*w*x - 2*j**2*m*w - m*w**3*x - 12*m*w**3 - 5*m*w*x + 4*w**2*x wrt w?
18*j**3 - 6*m*x - 72*m
What is the second derivative of 2*k**3*w + 6*k**3 + 56*k**2*w + 126*k*w - 10 wrt k?
12*k*w + 36*k + 112*w
What is the third derivative of 4572*a**5 - 2*a**2 + 10*a - 216?
274320*a**2
Differentiate -5*i**4 - 54*i**2 + 186 with respect to i.
-20*i**3 - 108*i
What is the third derivative of 18*l**6 + 12*l**3 - 277*l**2 - l + 2 wrt l?
2160*l**3 + 72
What is the third derivative of -13*h**6*s**2 - 3*h**4*s**3 - 110*h**2*s**2 + 2*h*s**3 wrt h?
-1560*h**3*s**2 - 72*h*s**3
Find the second derivative of -3954*p**2 - 4190*p.
-7908
Find the second derivative of -35*a*w**2*z - 2372*a*w*z - 11*w**2*z wrt w.
-70*a*z - 22*z
Differentiate -44*l**2 - 26*l - 8655 with respect to l.
-88*l - 26
What is the third derivative of 7*k**3*w**3 + k**3*w**2 - 12*k**3 + 5*k*w**4 + k*w**2 + 3*w**3 wrt w?
42*k**3 + 120*k*w + 18
Find the third derivative of -3931*h**6 + 1727*h**2 wrt h.
-471720*h**3
Differentiate 16*m**2*r**3 + 4*m*r**3 + 2*m*r + 453*r**3 wrt m.
32*m*r**3 + 4*r**3 + 2*r
Find the second derivative of 161*j**3*o**3 - j**2*o**3 - 10*j*o**3 + 5*j*o + 3*o**3 wrt j.
966*j*o**3 - 2*o**3
Find the second derivative of 87*b**5*j - 5*b**4*s**3 + 2*b*j*s**3 + b*j*s - 21*b*s**3 - 2*b*s + 65*j*s**2 wrt b.
1740*b**3*j - 60*b**2*s**3
Find the first derivative of l*w**2 - 293*l*w - 3*l + 2*w**2 - 893 wrt w.
2*l*w - 293*l + 4*w
Differentiate 226*f + 14 with respect to f.
226
Find the third derivative of 3361*d*r**6 - d*r**2 + 677*r**2 wrt r.
403320*d*r**3
Find the third derivative of -297*f*h**6 - f*h**3 - 2*f*h - 61*f + 2*h**6 + h**2 wrt h.
-35640*f*h**3 - 6*f + 240*h**3
What is the third derivative of 324*g**3*y**3 - 2*g**3*y - 73*g*y**2 wrt y?
1944*g**3
Find the third derivative of 9535*w**3 - w**2 + 893*w - 4.
57210
Differentiate 57*q**3*x**2 - q**3*x + 1773*q**3 + 16*q**2*x with respect to x.
114*q**3*x - q**3 + 16*q**2
What is the first derivative of -138*k - 332 wrt k?
-138
Differentiate -p**2 + 11*p - 777 wrt p.
-2*p + 11
What is the third derivative of 13*k**4*s**2 + 34*k**4 + k**3 + 21*k**2*s**2 - k**2*s - k*s - 10*s wrt k?
312*k*s**2 + 816*k + 6
Find the second derivative of -188*d**3*q**2*s**2 + 20*d**3*q*s**2 + d**3*s**3 + d*q**2*s**3 - 2*q*s**3 + 2*q*s**2 wrt q.
-376*d**3*s**2 + 2*d*s**3
What is the first derivative of 8*j**3 + 63*j - 424?
24*j**2 + 63
Find the first derivative of 885*a**2 - 320 wrt a.
1770*a
Find the first derivative of 448*m**2 - 1153 wrt m.
896*m
What is the second derivative of -69*d**2*g**2*v - 9*d**2*v + 2*d*g*v - d*g wrt g?
-138*d**2*v
Find the third derivative of 2*h**2*o**4 - 3*h**2*o**3 + 20*h**2*o**2 + 4*h**2 - h*o**2 - 90*o**4 wrt o.
48*h**2*o - 18*h**2 - 2160*o
What is the third derivative of -9*c**4*f - 127*c**3*f**3 - 2*c**3*f**2 - 114*c**2 + 4*c*f**3 wrt c?
-216*c*f - 762*f**3 - 12*f**2
Find the third derivative of 2*f**5 + 662*f**4 + 651*f**2 wrt f.
120*f**2 + 15888*f
What is the third derivative of -8086*c**3*x - 151*c**2*x + 6*c**2 wrt c?
-48516*x
Find the second derivative of 11*y**5 - 18*y - 7.
220*y**3
Find the first derivative of 14561*c + 6409.
14561
What is the derivative of 45*n*x + 2*n - 48*x wrt n?
45*x + 2
What is the third derivative of 2*b**3*g*x**3 - b**3*g*x**2 - 1162*b**3*g - 2*b**3*x**3 + 2*b*x**2 + 329*g*x**3 wrt x?
12*b**3*g - 12*b**3 + 1974*g
Find the second derivative of -2*q**3 + 74*q**2 + 207*q wrt | {
"pile_set_name": "DM Mathematics"
} |
8, -504, -45, -0.5?
-0.5
What is the closest to 0.01 in 4, 2/11, -0.3, 20, -2/9?
2/11
What is the closest to -15/2 in -238, 1, 1/3?
1/3
What is the closest to -1/5 in 0.3, -5, -3, 1/9, 1?
1/9
What is the closest to -0.055 in -1/3, -2/9, -5, -0.8, -0.06?
-0.06
What is the nearest to 0.12 in 10, -5, -69?
-5
Which is the closest to -1? (a) 0 (b) 184 (c) 0.2
a
What is the closest to -0.32 in 0.9, 0.06, -2/173, -3/2?
-2/173
What is the closest to 0.1 in 0.9, 0.14, -492?
0.14
Which is the nearest to 32? (a) 0.04 (b) -4 (c) -0.2 (d) -295
a
What is the nearest to -0.1 in 2/5, 1.217, -0.01, 3?
-0.01
What is the closest to 1046 in -103, 0.2, -1?
0.2
What is the nearest to -0.4 in 0.13, -5, -2.8, 0.07?
0.07
Which is the nearest to -3151? (a) 0.3 (b) 0.1 (c) 3
b
What is the nearest to 0 in -63, -2, 1, 1/12, -3?
1/12
What is the closest to -2/3 in -11/91, -4/5, -5?
-4/5
Which is the closest to -0.08? (a) 91 (b) 0.2 (c) -0.4 (d) 0
d
Which is the nearest to 1/2? (a) -1 (b) -256 (c) 3/5 (d) -0.14
c
Which is the nearest to -0.3? (a) -1.8 (b) -3/2 (c) 1/13 (d) 0 (e) 1/11
d
What is the closest to -2/9 in 2, -5, -6/5, 6?
-6/5
What is the closest to -7 in 3/7, 2/7, 1.5, 2, 4?
2/7
Which is the nearest to -0.1? (a) 0.3 (b) 5 (c) -2 (d) -0.8522
a
What is the nearest to -3/4 in 0, -1041, 9?
0
Which is the nearest to 0.4? (a) -59 (b) 5/6 (c) 3 (d) -0.6
b
Which is the nearest to -2/5? (a) 0.3 (b) -2/13 (c) 36/25
b
Which is the closest to 1/5? (a) 19.04 (b) 4 (c) 0.3
c
What is the nearest to 2/11 in 0, 10.822, -0.4?
0
What is the nearest to 73/4 in -3/7, -2, -42, 5, 0.3?
5
What is the nearest to -0.1 in -1.3, -14, -3010, 3, 1/3?
1/3
What is the closest to -0.06 in 0.3, -4/47, -0.1, -0.2, 2/17?
-4/47
Which is the nearest to 1? (a) 8 (b) 4/9 (c) 2.24
b
Which is the closest to 2/17? (a) -7 (b) 563 (c) 2/3 (d) -1/3
d
Which is the nearest to -1? (a) -2987 (b) -4 (c) -3 (d) 0.8
d
Which is the nearest to 0.2? (a) 0.04 (b) 1.2 (c) -0.2 (d) -5 (e) -1/4
a
What is the closest to 1/2 in 1, 1/645, -0.3?
1/645
What is the nearest to 0.3 in -2/21, 5.6, 4, -7, -9?
-2/21
Which is the closest to 0.1? (a) -4 (b) 3 (c) -6 (d) 1 (e) 0.82
e
Which is the closest to -7950? (a) 0 (b) -0.4 (c) 7
b
What is the closest to -1/16 in -1.6, -5, -13?
-1.6
Which is the closest to -1? (a) -37/39 (b) 7/4 (c) -0.2 (d) 3
a
What is the closest to -1/3 in 0.5, -4, -2/3, 265.89?
-2/3
Which is the nearest to -1/24? (a) 1 (b) 0.2 (c) 19/5 (d) 2
b
Which is the closest to 1/3? (a) -13 (b) 0.5 (c) -319 (d) 5
b
Which is the nearest to -47? (a) 1 (b) 2/19 (c) 421
b
Which is the closest to 0.1? (a) 0.4 (b) 0.5 (c) 1/48
c
What is the nearest to -4/3 in -0.17, -1.3, 1, 0.3?
-1.3
Which is the nearest to 19? (a) 0.1 (b) -0.9 (c) 15
c
Which is the closest to 3/8? (a) 3 (b) 0 (c) -1032 (d) -2/3
b
What is the closest to -1 in -0.4, -5/4, -3, 88, -1/6?
-5/4
Which is the closest to -0.058? (a) 9 (b) -1 (c) -3/65
c
What is the nearest to -48 in 0.95, -2, 1/4?
-2
Which is the closest to 878? (a) -0.3 (b) -4/7 (c) 5
c
What is the nearest to 1.3 in -45, -1/8, -0.23?
-1/8
What is the nearest to -0.12 in -0.4, 2043, 4, 1/2?
-0.4
Which is the closest to -2/3? (a) -1.6 (b) -565 (c) 2
a
Which is the closest to 8/5? (a) 0 (b) -1/4 (c) 0.5 (d) -5 (e) 0.3
c
Which is the closest to -1? (a) -3/4 (b) 643.7 (c) -0.1
a
Which is the nearest to -1? (a) -6 (b) -1 (c) -5 (d) -4 (e) -3156
b
Which is the closest to 3/58? (a) -2 (b) 0 (c) 12
b
Which is the nearest to -4/9? (a) 0.5 (b) -1/5 (c) 0.113 (d) 0.4 (e) -7/2
b
Which is the closest to -0.5? (a) 878 (b) 5 (c) -4/7
c
Which is the closest to -1/350? (a) 3 (b) 3/5 (c) 2 (d) -0.05
d
What is the closest to 188 in -0.4, 3, 1.8, 0?
3
Which is the nearest to 0.5? (a) 3 (b) -0.7 (c) -0.064
c
Which is the nearest to -169? (a) 5 (b) -2 (c) -0.5 (d) -18
d
Which is the closest to -3? (a) -0.5 (b) 3 (c) -28575 (d) 0.4
a
What is the nearest to 2344 in 0, 3, -1/5?
3
Which is the nearest to 16? (a) -0.02 (b) 0 (c) 2/7 (d) 1
d
Which is the nearest to -4? (a) -3 (b) 5 (c) -0.005 (d) -0.4 (e) 1/6
a
Which is the closest to 0.1? (a) -19.5 (b) 10 (c) 0 (d) 13
c
Which is the nearest to 0.2? (a) -20 (b) -0.1 (c) 4 (d) -149
b
What is the nearest to 1/19 in -8/5, -2/7, 1, 1/6, -2/43?
-2/43
What is the closest to 0 in -5, 4, -2, 1/59?
1/59
Which is the nearest to -1? (a) -3 (b) -1/32 (c) -3/7 (d) 2 (e) 281
c
What is the closest to 7 in -5, -2/9, -1/13, 13, 4/5?
13
Which is the closest to 0.1? (a) 4 (b) 2/3 (c) -1/48 (d) -5
c
What is the closest to -1/7 in -0.02, 0.984, -0.3, -2, 0?
-0.02
What is the closest to -1/3 in 0.1, 4, 3, -0.08, -2599?
-0.08
Which is the closest to -33.8? (a) -5 (b) -2 (c) -0.06 (d) -3/2
a
What is the nearest to -3 in 2, 1/6, 55/2, 8/3, -0.5?
-0.5
Which is the closest to 0.2? (a) 2/11 (b) 3/2 (c) -5 (d) 27
a
Which is the closest to -2? (a) -14 (b) -2/13 (c) -0.02 (d) -1.4 (e) -2
e
What is the nearest to -1/7 in 0.4, -0.3, 5.8, -1.8, 1?
-0.3
Which is the closest to 0.05? (a) 28/3 (b) 0 (c) -288 (d) 0.2
b
Which is the closest to -6/95? (a) 4 (b) -0.5 (c) 0.5
b
What is the nearest to -2/5 in 46, 3, -106?
3
Which is the closest to 1.5? (a) 2/3 (b) 2/5 (c) 3/5 (d) -0.2 (e) 4
a
What is the closest to 0.8 in -3, 0.08, -2/3, 338?
0.08
Which is the closest to 5460? (a) 0.2 (b) -1/14 (c) -3
a
Which is the closest to -2/3? (a) -0.5 (b) 2/9 (c) -5 (d) -21 (e) -9
a
What is the closest to -5/32 in 1, -96, -2?
1
Which is the closest to 84.5? (a) -0.5 (b) 0.2 (c) 1/7 (d) 4 (e) -2
d
Which is the nearest to -2/9? (a) -0.2 (b) -8.6 (c) -1/30 (d) -2
a
What is the closest to 0.1 in -4/7, -17/28, 0.2, -3, 31?
0.2
What is the closest to -15/8 in -273, 5, 0.05?
0.05
What is the nearest to 18 in 2, -8/5, -5/19?
2
What is the nearest to 160 in -0.2, -3, -0.055?
-0.055
What is the nearest to 2/7 in 5, -0.4, 11872?
-0.4
Which is the closest to 1? (a) 0.3 (b) -372/127 (c) -0.3
a
Which is the closest to 6? (a) -2 (b) -0.1 (c) 2/59
c
Which is the closest to -0.06? (a) 1 (b) 0 (c) -2
b
What is the nearest to 0.1 in -41738, 1/4, -7?
1/4
Which is the nearest to -0.1? (a) -34 (b) -1750 (c) -0.5 (d) 5
c
What is the nearest to -0.1 in 0.1, 2/25, -1/9, -8/3?
-1/9
What is the closest to 0.1 in 3/2, -2/5, -11739, 1/3?
1/3
Which is the nearest to -2/19? (a) 44 (b) 73 (c) -2/19 (d) 0.3
c
Which is the nearest to 2/285? (a) 1 (b) -4 (c) -2/7 (d) -5 (e) -1.1
c
What is the closest to -6 in -0.211, 1/4, 1/16?
-0.211
Which is the nearest to 0.1? (a) -2 (b) -4 (c) -14 (d) 3/29
d
What is the nearest to -1/2 in 3, -2/101, 3/5, -262, -0.1?
-0.1
What is the nearest to 38 in 1, -16, -2, -1/14, 3?
3
Which is the closest to 15? (a) -1 (b) -2/5 (c) -2 (d) -7 (e) -0.1
e
What is the closest to 1 in -11/2, 61, -4, 0, -0.4?
0
Which is the closest to 3? (a) 4/13 (b) 5 (c) -3 (d) 4/5 (e) -139
b
Which is the closest to 1489/4? (a) -2/5 (b) -4 (c) -1/14
c
Which is the closest to 1/9? (a) 0.4 (b) 4/7 (c) 1 (d) -6/499
d
Which is the nearest to -1? (a) -30 (b) 0.2 (c) -872 (d) -1
d
Which is the nearest to -2/21? (a) 1/4 (b) 7/6 (c) -3/4 (d) -1 (e) 0.18
e
Which is the closest to -2/9? (a) -2 (b) 1/5 (c) -2970
b
Which is the nearest to 0.5? (a) -0.1 (b) 2/5 (c) -4 (d) -5/254 (e) 0
b
Which is the closest to 9293? (a) 0 (b) 1/10 (c) -0.5 (d) -0.7
b
Which is the closest to 78? (a) 0.5 (b) -402/7 (c) -3
a
What is the closest to -0.1 in 1/3, 0.2, 2/193?
2/193
What is the closest to 1 in 2/59, 5, 88?
2/59
Which is the nearest to 1? (a) -16 (b) 10/7 (c) -4/3 (d) 9
b
Which is the nearest to -0.1? (a) -31 (b) -5.7 (c) -1/3 (d) 2/13
c
What is the closest to 0.04 in -2/25, -3/4, -0.1, -8.4?
-2/25
Which is the closest to -1? (a) -1 (b) 0.5 (c) 52 (d) 5 (e) -9
a
What is the nearest to -0.1 in -3, 6, -3/7, -2/43?
-2/43
What is the closest to 2/3 in 1/7, 3/1048, -5, -0.4?
1/7
Which is the nearest to -2/5? (a) 2 (b) 2/3 (c) 9.9 (d) -7
b
What is the nearest to 2/11 in 8, -0.3, -34/3, 0?
0
What is the closest to 1 in -3.7, -0.0729, -11?
-0.0729
Which is the nearest to -27.77? (a) -4 (b) 3 (c) 0.3
| {
"pile_set_name": "DM Mathematics"
} |
. Let p be d(-6). Let t = -35 - p. Is 3 + (-172)/8*t a composite number?
True
Let z(f) = f**3 + 187. Suppose 4*b + 4*b = 3*b. Is z(b) prime?
False
Let a(r) = -r**3 + 7*r**2 + 3*r - 8. Let g be a(7). Let w = -11 + g. Suppose -3*d + w*q = -0*d - 1395, -5*d + q + 2332 = 0. Is d prime?
True
Suppose -k = 4*w - 317, -k = 2*k - w - 1016. Let b(a) = -a**3 + 18*a**2 + 12*a + 7. Let t be b(19). Let n = k + t. Is n a prime number?
True
Let v(t) = -t**2 - 10*t + 16. Let p be v(-11). Suppose 0 = -p*f + 51 - 6. Is 3/f*795/1 composite?
True
Let a(n) = -19*n**3 - 16*n + 19. Let q(l) = -13*l**3 - 11*l + 13. Let z(b) = -5*a(b) + 7*q(b). Suppose -5 - 7 = -4*i. Is z(i) composite?
False
Let v = 4833 - -5146. Is v composite?
True
Let m(l) = 28*l**2 - 7*l + 1. Let o(q) = -q**2 + 10*q + 6. Let b be o(10). Is m(b) composite?
False
Let q(z) = -76*z**3 + 22*z**2 + 13*z + 15. Is q(-8) a prime number?
True
Let p = -5 - -10. Suppose -p*l + 2227 = -4*j, 2*l - 486 = j + 403. Is l a prime number?
True
Let a be -124 - (-1 - (1 - 2)). Let p be 1 + 0 - (2 - -346). Let v = a - p. Is v prime?
True
Suppose -5*h - 3852 = -5*b + 4368, 0 = -3*b + 4*h + 4934. Is b a composite number?
True
Suppose 2*r - 24463 = -5*y, -20*y - 2*r - 9774 = -22*y. Is y a composite number?
True
Let m = -302 + 428. Suppose 5*u + 89 = -2*q, 2*q + q + 99 = 4*u. Let z = q + m. Is z composite?
False
Let l(f) be the third derivative of f**9/30240 + f**8/6720 + f**7/2520 + f**6/240 + f**5/20 - f**2. Let w(n) be the third derivative of l(n). Is w(4) composite?
True
Let x = -8282 + 56781. Is x prime?
False
Let v(g) = -g + 6. Let u be v(2). Suppose -5*d - 2*z + 3*z + 938 = 0, 0 = -d + u*z + 199. Is d composite?
True
Suppose -873*t + 867*t + 463674 = 0. Is t a composite number?
False
Suppose -25 = -5*g, -3*z - 3*g = -25 - 11. Let l(x) = 7*x**3 + 3*x**2 + 9*x - 6. Is l(z) a prime number?
False
Let c = -539 + 3060. Is c composite?
False
Let y = -14 + 19. Let f be y/(-10) - 278/(-4). Let a = f + -46. Is a prime?
True
Suppose 5*i - 15 = 0, -72*i + 68*i - 10424 = -4*u. Is u prime?
True
Let b = 9456 - 577. Is b prime?
False
Let x = -72 - 21. Is ((-33)/(-6))/1*(1 - x) a composite number?
True
Is 4 + 6670/((-100)/(-10)) prime?
False
Let c be ((-4)/(-5))/((-10)/175). Let f = c - -9. Is (614/f)/((-4)/10) a composite number?
False
Let a = -5989 - -9263. Is a a prime number?
False
Let y(f) = -22*f - 26. Let g be y(-16). Let o = g - -393. Is o composite?
False
Let c(r) = -r - 11. Let k be c(16). Let q = k - -112. Is q composite?
True
Suppose -6*n + 330 = -11*n. Let l be (2*6)/((-3)/10). Let j = l - n. Is j a composite number?
True
Let i(n) = n**3 - 13*n**2 - 36*n - 19. Let h be i(21). Let a = -1888 + h. Is a prime?
False
Is 82/(-6) - -13 - (-18910)/6 prime?
False
Let d = -1098 - -403. Let g = -192 - d. Is g a prime number?
True
Is -3 - (5 - 3) - (-15517 + -17) prime?
False
Let z(a) = -2*a**3 - 4*a**2 + 4*a - 2. Let l be z(2). Let u = -5 + 102. Let p = u - l. Is p composite?
True
Let j be (40/(-50))/((-4)/10). Suppose 6 = 4*f + j*f. Let d = 112 + f. Is d composite?
False
Is 727338/54 - (-2)/18*-2 prime?
True
Let w be 2/6*(9 + -15). Is (-2)/(-12) - (23545/(-30) + w) composite?
False
Let c(m) = 7 + 9 + 21*m**3 - 12*m**2 - 13*m**3 - 4*m**3 + 11*m. Is c(7) prime?
True
Suppose 0 = 2*g - u - 8163, g + 4*g + 2*u = 20421. Is g a prime number?
False
Let s be -1 + -2 + 4 + 3. Suppose -4*p = -3*g + 1596, -s*g + 2041 + 87 = p. Is -1 + g/((-6)/(-3)) a prime number?
False
Suppose -4*a = 14 - 26. Is (-394 + -3)*(a + -4) a prime number?
True
Let d = 7455 - 5122. Is d a prime number?
True
Suppose 951642 = -5*q + 59*q. Is q a composite number?
False
Let g = 163 - 402. Let q = 140 + -234. Let x = q - g. Is x composite?
True
Let u(m) = -m**2 + 4*m - 3. Let a(o) = 5*o - 4. Let q(v) = 4*a(v) - 5*u(v). Let s be q(1). Suppose 872 = s*f + 4*w, -3*w - 13 + 4 = 0. Is f a prime number?
False
Suppose -4 = -4*h, -3*j - 3*h = -0*h - 89154. Is j a prime number?
True
Let o be 0/(0 - (2 + 1)). Suppose o = 3*m + m. Suppose -5*f + f + 6980 = m. Is f prime?
False
Let l(q) = q - 5. Let r be l(8). Suppose -r*p = -5*h + 1561, -p + 2*p - h = -521. Let x = 917 + p. Is x a prime number?
False
Suppose -4*m + 115 = -5. Let j = -27 + m. Suppose -j*h + 575 = 2*h. Is h prime?
False
Let p = 9 - 22. Let k = -8 - p. Suppose 4*n = -k*r - 0*n + 1177, -5*n = 3*r - 701. Is r prime?
False
Let l(z) = 25*z - 2. Suppose -3*y + 2 = q - 13, y - 13 = -3*q. Let o be (2/(-4))/(q/(-30)). Is l(o) a composite number?
True
Suppose -2*n + 399 = n. Let b = n - 82. Is b composite?
True
Suppose -15*t + 2*h = -12*t - 80277, 0 = 5*t - h - 133795. Is t prime?
True
Let o = -1476 - -2432. Let a = 1851 - o. Is a a prime number?
False
Suppose 5*a - 117 = -8*a. Is 3/((-3)/(-293)) - (a + -9) a composite number?
False
Let z(k) = 225*k**2 - 19*k - 109. Is z(-9) prime?
True
Suppose -13*f + 113 = -888. Is f composite?
True
Suppose 0 = -3*x - x + 16. Let l(c) = -c**2 + c + 8. Let v be l(x). Is (-2)/(v/(-83))*-10 a composite number?
True
Is (-155970)/(-4) + -7 + 105/14 composite?
False
Suppose -16*n - 3033 = -137785. Is n composite?
True
Suppose 0 = 46*c - 50*c + 684. Suppose 2*y = 2893 - c. Is y composite?
False
Suppose -4*s + v - 171 = -2196, s = -3*v + 490. Is s composite?
True
Let p(q) = -q**3 + 8*q**2 - 6*q - 5. Let y be p(7). Is -3*y/3 - -39 a composite number?
False
Let d be 20/(-6)*(-42)/35 - 10. Is -9 + 25/3 + (-15802)/d composite?
False
Suppose -4*w - 616 = -8340. Is w composite?
False
Suppose 289955 = -149*c + 154*c. Is c a composite number?
False
Suppose -5*z + 0*m - 4*m = 0, -2*z + 4*m = 0. Is -5 + 7 - (1 + -222 + z) prime?
True
Suppose 1855 = 5*a - 2*z + 4*z, -a + 5*z = -398. Is a prime?
True
Let r = -484 - -2205. Is r a composite number?
False
Let w be (30/2 - 1) + -4. Suppose 6*a + 5748 = w*a. Is a a composite number?
True
Suppose l + 962 = -2*s + 5*s, -6 = 3*l. Suppose 0 = -4*k + 4*b + s, -2*k - 5*b + 0*b = -139. Suppose -2*a + k = 3. Is a a composite number?
False
Let q be (-1389)/(-3) + (-1 - 3). Let a = q + 194. Is a composite?
False
Let d(k) = -9890*k - 127. Is d(-4) a composite number?
True
Suppose 0 = 2*z + 8, 9*x - 2*z = 6*x + 13997. Is x composite?
False
Let m(t) = 53*t**2 - 18*t + 2. Is m(-6) composite?
True
Let q(m) = m + 17. Let b(p) = -p - 16. Let t(z) = -6*b(z) - 5*q(z). Let l be t(-11). Is -3 + 98 + l + 0 prime?
False
Let f be (-2)/(-11) + 42/11. Suppose -2*a + f*v = 6*v - 638, 0 = 4*a - v - 1266. Is a a prime number?
True
Suppose -10*r + 99095 = 23385. Suppose 0 = 7*o - 9866 - r. Is o composite?
True
Let o = -6 + 4. Let g(v) = v - v**2 - 1 + 0*v**2 + 0*v**2 + 0*v - 81*v**3. Is g(o) a composite number?
False
Suppose -24298 = -4*a + 2*m, 4*a - 6079 = 3*a + 5*m. Is a a prime number?
False
Suppose 0 = 5*c + 2*t + 67 - 1171, 3*c = -2*t + 664. Suppose -4*b + 3*b + 2*y = 7, -5*y + 37 = 4*b. Suppose b*x = 47 + c. Is x a prime number?
True
Suppose 0 = b + 4*w - 395, 4*b - 3*w - 844 - 812 = 0. Is b prime?
False
Let o be (774/(-12))/((-1)/2). Suppose 3*u - 240 - o = 0. Suppose 3*n = -5*v + 786, 4*v - 501 - u = -4*n. Is v a composite number?
True
Let d = 366 - 233. Is d a prime number?
False
Let q = -2 + 3. Let f = 4 - q. Is (163 - -7)/(f - 1) composite?
True
Is -7 + (-1 - -2) + 13228 + 37 composite?
False
Suppose 7*i - 14214 = 13849. Is i prime?
False
Let f = -2520 - -5477. Is f prime?
True
Suppose 4*t - 2*t = 154. Let r = t + -19. Is r prime?
False
Suppose -4*q - 7281 = -5*q - 5*v, 0 = -2*v + 8. Is q prime?
False
Let o(b) = -6*b**3 - 3*b**2 + 13*b - 3. Let p(d) = 11*d**3 + 7*d**2 - 25*d + 5. Let k(a) = -7*o(a) - 4*p(a). Is k(-6) a composite number?
False
Suppose 4*n - 44615 = -5*b, 25*n = b + 23*n - 8923. Is b prime?
True
Suppose 4*a - 2*r - 20 = 0, 0 + 34 = 2*a + 5*r. Suppose 1345 - 204 = a*p. Is p a composite number?
False
Let r = 21 - 10. Suppose -2*i - r = -5. Let h(u) = -4*u**3 - u**2 + 3*u - 3. Is h(i) a prime number?
False
Suppose -u + 6 = 8. Is 291/u*8/(-12) a prime number?
True
Let u(r) = -30*r + 59. Let w = 8 + -31. Is u(w) prime?
False
Suppose 1730 = -4*x + 3958. Is x prime?
True
Let y(c) = c**2 - 2*c + 202. Let s be y(0). Suppose -4*u = -z - 359, 0 = 2*u + 2*z + 2*z - s. Is u a prime number?
False
Let k(b) = b**3 + 3*b**2 - 10. Let n be k(-5). Let m be ((-1)/1)/(1/n). Suppose x | {
"pile_set_name": "DM Mathematics"
} |
(c) 4/7
b
Let c = -146.8 + 147. Let a = 49 + -55. Let i be ((-2)/(0 + 6))/((-3)/a). What is the nearest to -0.2 in -1, c, i?
c
Let k = -6.215 - -6.215. What is the closest to k in -2, -0.1, 4/3?
-0.1
Let b = 643 - 643.2. Let x = 32 + -31.9. What is the closest to 0.2 in 0.4, b, x?
x
Let f be ((-18)/189 - (-109)/42)*6/15. Which is the closest to 2/19? (a) 0.34 (b) f (c) -0.2 (d) 0.4
a
Suppose -13*v - 100 = -3*l - 8*v, -3*v + 24 = l. Suppose -416 = -l*o - 116. Which is the nearest to 0? (a) -1/6 (b) -1 (c) o
a
Let f be -2 + 14/(-8)*114/(-399). Which is the closest to 0.1? (a) 2/13 (b) f (c) -0.1 (d) -2/9
a
Let s = 64/603 + 1/201. Let a be 238/(-119) + -6*((-28)/8 + 3). What is the nearest to -0.1 in 2/7, s, a?
s
Let c = -3.2478 + -0.7522. What is the closest to -2 in c, 5, -2, 3/5?
-2
Let b = 18.81 - 22.71. What is the closest to b in 2/5, -12, -0.5?
-0.5
Let a be ((-118)/42 - 2/(-14)) + (-16)/(-24). Let m(i) = 5*i. Let n(t) = 6*t. Let c(q) = 5*m(q) - 4*n(q). Let w be c(4). What is the nearest to -1 in a, w, 2/5?
a
Let t = 147904.1 + -147904. Let s = -5.761 + 0.061. Let g = s - -0.7. Which is the closest to t? (a) -0.1 (b) g (c) 5
a
Let k = 47 + -236/5. Suppose 21 = -2*w + 45. Let d be ((-54)/w + 2)*4/35. Which is the nearest to -1/3? (a) k (b) d (c) -1/3
c
Let f = -254/7 - -34. What is the nearest to 0.9 in 0.4, 2/7, f?
0.4
Let k = -452 + 323. Let j = -129.5 - k. Let x be (2/(-11))/2*-2. What is the closest to -1 in j, 3/4, x?
j
Let m = -4263 + 4257. Which is the closest to -2? (a) m (b) -0.2 (c) 14
b
Let m = -2.7699 - -2.7299. What is the closest to -2/9 in m, 2/13, 0.5, 2.3?
m
Let t = 7614 + -7611. Which is the nearest to 0.17? (a) -5 (b) -0.2 (c) t
b
Let k = 171 - 515/3. Suppose -4*x = -2*x - 8. Let z be 4 + -2 - 6/x. What is the nearest to k in z, 2/9, -1/9?
-1/9
Suppose 2*x - 1 - 5 - 2 = 0, 81 = o + 25*x. Let j = -3.6 - -4. What is the nearest to -1/2 in 5, o, j?
j
Let y be ((-12)/(-12))/(35/(-14)). What is the closest to y in -0.5, 2, 1, 29?
-0.5
Let h = 185.57 + -3.57. Let k = h + -175. What is the closest to 4 in k, 3, 0.1?
3
Let n = -10970/3 + 3605. Let z = -51 - n. Suppose 0 = 3*l - 10*l + 7. What is the closest to -1 in l, z, 1/4?
1/4
Let k be 16 - ((-221)/(-34) + 10). What is the closest to -101 in 1/6, k, -22?
-22
Let j = -2399.857 + 2397. Let k = -1.285 - -1.428. Let r = j - k. What is the closest to 1 in r, 1, 0.2?
1
Let t = 0.47 - 1.47. Let r(y) be the first derivative of 4*y**3/3 - 3. Let s be r(1). What is the nearest to t in 1/6, s, -0.4?
-0.4
Let n = 320 - 345.3. Let j = 26 + n. Let w = 0.5 - 1. Which is the closest to j? (a) 5 (b) w (c) 1/4
c
Let t be (0 + 2/500)*(-5 + 11). Let x = t - 28/125. Which is the closest to 1/4? (a) -4 (b) -28 (c) x
c
Let z = -11 - -15. Suppose 12 = -29*i + 23*i. Let p be (-60)/(-15) - (-16)/i. Which is the nearest to z? (a) -2/5 (b) p (c) -1
a
Let o = 3453 + -3467. Which is the nearest to -1? (a) -3/4 (b) o (c) -22
a
Let h = -7427 + 7435. Which is the nearest to 7? (a) h (b) 1/3 (c) -1/4
a
Let u = 19 - 18.74. Let j = 0.76 - u. Let x be -11 - (-472)/24 - 8. Which is the closest to -1? (a) j (b) -6 (c) x
a
Let n = -1/3720 - 144253/1240. Let k = n - -115. What is the closest to 1 in k, -1.9, -1/13?
-1/13
Let c = -0.1368 + -0.3632. What is the closest to 0.2 in -5, 19/4, c?
c
Let n be (-126)/294 + 6/14. What is the closest to n in 2/13, -4, 39?
2/13
Let j = 7235/2 + -3615. Which is the closest to -0.3? (a) -54 (b) -5 (c) j (d) -3
d
Let u = 42 - -135. Let s = u + -173. What is the nearest to -1 in -12, -0.2, s?
-0.2
Let l = -0.2149 - 0.0851. Let f = -114 + 71. What is the closest to 1 in l, f, -1?
l
Let m = -27 - -31. Let f = -20.1 + 20.5. Let v be (6/(-8))/(63/56). Which is the nearest to v? (a) f (b) m (c) 0
c
Let z = -1060.65 + 1061. Which is the nearest to 0.1? (a) -2 (b) z (c) -0.2
b
Let g be -2 - (-10 - (-2)/1). Suppose g = 5*z - 4. Suppose 3*w + z = -4. Which is the closest to -1? (a) w (b) 0.1 (c) -1/4
c
Suppose -20*j + 738 = -18*j. Suppose -j = -2*v - v. Let k = -859/7 + v. Which is the closest to 1? (a) 0.3 (b) k (c) -1/4
a
Let z = -33102 + 33099. What is the closest to 2 in 149, 0.03, 2/9, z?
2/9
Suppose -3*p + 5*n + 17 = 0, -18 + 2 = 4*n. Let c be (4 - 3)*p/11. Let j = -2.9108 - 0.0892. What is the closest to 0.4 in -0.4, j, c?
c
Let f be (-2)/(-5) - (-2)/(-30). Let l be (93/31)/((-2)/(30/(-1))). Let x be -5 - 0 - (-220)/l. What is the closest to f in -4, x, 2?
x
Suppose -158*a - 197 = 277. What is the closest to -1 in a, -1, 3/4, -33?
-1
Let i be 19/(-15) + (-2)/6. Suppose 5*m = -0*m - 10. Let f be (30/(-45) - (-15)/36)*-4. Which is the nearest to 0.1? (a) f (b) i (c) m
a
Let t be 0/(1/(3 + -4)). Suppose -z - 4*o + 4 = -3*o, 2*z - 3*o + 7 = t. Which is the nearest to 0.1? (a) 0 (b) z (c) -5
a
Let l = 5431 + -5431. What is the nearest to l in 0.1, -1205, 3?
0.1
Let l = -5954 + 5957.089. Let i = 0.089 - l. Let y = 2.25 - 2.2. What is the closest to -2/7 in y, i, 4?
y
Let w = 6750 - 6753. Which is the closest to 0.2? (a) -62 (b) w (c) -1
c
Let r = 0 + 2. Let j be (-3 - (0 - r))*3/27. Let h = -62 - -61.8. Which is the nearest to 0? (a) j (b) h (c) 5
a
Let g = -19859/4 - -7804595/1572. What is the nearest to -0.1 in -1, 0.09, g?
g
Let f = -3847 - -3847.3. Which is the nearest to 13/6? (a) 3/7 (b) 4 (c) f
a
Let g = -0.1 + -0.1. Let h = 642 + -647. Let j be h*5/(-10) + 15/6. What is the closest to g in 3, 0.2, j?
0.2
Let z = -30.53 + 25.53. Suppose -13 = 2*l - 3*x, 0 = -l + 4*x - 27 + 8. Which is the nearest to l? (a) z (b) 1 (c) 0
b
Let b be (1 - (5 + -4))*(-1)/3. Let u be b + 2 - -1 - 0. Let q = 19 - 18.7. What is the closest to -2 in 5, q, u?
q
Let v = 19/3095 + 2156873/55710. Let f = 223/6 - v. Which is the closest to 0.1? (a) f (b) -6/11 (c) 2
b
Let b = 3716 - 3715.83. What is the nearest to -1 in -0.2, b, 0.2, 3/2?
-0.2
Let t = 5 + -7. Let l = 11.1052 - 10.7052. Which is the closest to -0.3? (a) t (b) -0.08 (c) -3/4 (d) l
b
Suppose 2*l + 2 + 2 = -4*d, 4*d = 4*l + 8. Let z be d*((-20)/8 + 2). Suppose -17*t + 12*t = z. Which is the nearest to 0.2? (a) t (b) 0.5 (c) 0.1
c
Suppose -i - v + 15 = 0, -2*i + 13 + 25 = 4*v. What is the nearest to i in 0.2, 1/3, 1/9?
1/3
Let h be 2/(-3) + ((-2040)/135)/(-17). What is the nearest to -1 in h, -1/3, -2/11?
-1/3
Let j be (-7)/2*((-7)/(882/(-12)))/(-2). Which is the closest to j? (a) 4 (b) -0.09 (c) 0.4 (d) -0.04
d
Let w = 18974 - 18973. What is the closest to -0.1 in 7/6, w, 0.22?
0.22
Let h be ((-6)/(-8))/((-333)/(-222)). Which is the closest to h? (a) 0.5 (b) -0.3 (c) -558
a
Let z = 0.2756 + -0.1756. Which is the closest to z? (a) -0.3 (b) 4 (c) -7 (d) -4
a
Let s = 164 + -653/4. Let n be (-6)/4*(-5 - 26/(-6)). Which is the closest to -0.1? (a) -2/9 (b) s (c) n
a
Let y be (-4)/18 - 261/(-81). Let s be (-90)/(-25) - 9*y/45. Which is the nearest to -3? (a) -0.2 (b) -2/17 (c) s
a
Suppose 2*t + 3*n - 10 = 0, -t + 12*n - 11*n = 0. Which is the nearest to t? (a) -4 (b) -23/8 (c) -0.2
c
Let z = 0.538 + 0.162. Let t = 5.7 - z. Let j be 1/(2 + (-3)/2). Which is the closest to j? (a) -1/4 (b) 0.2 (c) t
b
Let g = 178.5 - 13.5. Let v = 168 - g. What is the nearest to -0.05 in -0.2, -2, v?
-0.2
Let z = 4.843 + -4.76. Let h = 0.183 - z. Which is the closest to h? (a) -2/11 (b) -0.3 (c) 5
a
Let s = 1496/5187 - 2/741. Which is the closest to s? (a) -2 (b) 22/17 (c) 3
b
Suppose -117*y + 120*y = l - 141, l = -3*y + 123. Which is the nearest to l? (a) -0.5 (b) 0.3 (c) 2
c
Suppose 2379 = 11*h - 470. Let t = 776/3 - h. What is the closest to -2 in t, 4, -5?
t
Let p = 5/366 + -83/122. Which is the closest to p? (a) -8 (b) 2 (c) 10.9 (d) -2
d
Let q(x) = 121*x - 1332. Let n be q(11). What is the closest to n in -3/5, 0.2, -1, -0.07?
-1
Let h = 779/11 + -71. Let p be (-4)/30 - (-2)/6. Suppose -y - 3*n - 2 = -2*n, -2*y - 5*n = -5. Which is the nearest to y? (a) h (b) p (c) 2/9
a
Let k = 3.2 - 3. Let n = 2899/5546 - 63/2773. Let z = 3 + -10. What is the nearest to z in n, k, -2/21?
-2/21
Let y = 11 + -6. Let t = -0.0227 - 0.0773. What is the nearest to 2/11 in -1, y, t?
t
Let w = 0.4845 - 0.5045. Let z = -8.12 + 8. Let n = z - w. What is the nearest to | {
"pile_set_name": "DM Mathematics"
} |
third derivative of c(f) wrt f.
-264*f
Let g(k) be the first derivative of 0*k**3 + 2*k - 3 + 1/6*k**4 - 5/2*k**2. Let m(w) be the first derivative of g(w). Find the first derivative of m(z) wrt z.
4*z
What is the third derivative of 21*j**2 - j**4 + 0*j**4 - 2*j**4 - 9*j**2 wrt j?
-72*j
Let u = 6 + -2. What is the third derivative of 5*r**4 + r**2 + 5*r**u - 8*r**4 wrt r?
48*r
Let n(y) be the first derivative of 0*y + 2*y**3 + 0*y**2 + 3/4*y**4 + 1. What is the third derivative of n(g) wrt g?
18
Let a(t) be the third derivative of -3*t**6/20 - 19*t**3/6 - 16*t**2. What is the derivative of a(f) wrt f?
-54*f**2
What is the third derivative of 1195 - 1195 + 7*c**6 + 8*c + 5*c**2 + 39*c**6 wrt c?
5520*c**3
Let j(l) = 5*l - 7. Let n(w) = -3*w + 5. Let h(q) = -5*j(q) - 8*n(q). Let u be h(-7). What is the second derivative of -3*a + 2*a + u*a + a**5 wrt a?
20*a**3
Let x(u) be the third derivative of 1/168*u**8 + 0*u + 0*u**3 + 0*u**7 + 0*u**5 + 0 + 0*u**6 + 2*u**2 + 1/8*u**4. Find the second derivative of x(f) wrt f.
40*f**3
Find the third derivative of 29*o - 29*o - 12*o**5 - 3*o**2 - 5*o**2 wrt o.
-720*o**2
Let a(u) = 13*u**3 - 5*u - 3. Let g(i) = -26*i**3 + 10*i + 5. Let v(h) = -5*a(h) - 3*g(h). Find the second derivative of v(s) wrt s.
78*s
Find the third derivative of -11*i**5 - 778*i**4 + 778*i**4 + 2*i**2 wrt i.
-660*i**2
Suppose i - 4*i = -6. Suppose 10 = i*r + 2*k, 4*r - 5*k + 9 = -16. What is the second derivative of 2*h - 3*h**2 + r*h + h**2 wrt h?
-4
Suppose 8 = -2*v - p - 0, -5*p - 30 = 5*v. Let i(n) = 3*n + 4. Let y(g) = 10*g + 13. Let m(h) = v*y(h) + 7*i(h). Differentiate m(z) wrt z.
1
Suppose 2*y = -2*y + 8. Suppose y - 8 = -3*x. What is the second derivative of 2*v**2 - 5*v**2 + x*v + 2*v**2 wrt v?
-2
Let d(q) be the third derivative of -23*q**5/60 - q**3/6 + 2*q**2. What is the first derivative of d(n) wrt n?
-46*n
Suppose -3*r + 19 + 14 = 0. Let g = 15 - r. What is the second derivative of 4*a**3 - 2*a**3 - g*a**3 + 2*a wrt a?
-12*a
Let h(x) be the second derivative of x**7/840 + x**5/12 - x**3/2 - 9*x. Let t(v) be the second derivative of h(v). Find the second derivative of t(d) wrt d.
6*d
Find the second derivative of -241 - 12*w + 241 - w + 14*w**2 wrt w.
28
Suppose 19 = 4*d - 1. Let r(a) = -2*a - 2. Let p be r(-2). What is the third derivative of -l**4 + 3*l**p - d*l**6 + l**4 + 2*l**6 wrt l?
-360*l**3
Let s(t) = 5*t**3 - 4*t**2 - 4*t + 9. Let z(n) = -81*n**3 + 63*n**2 + 63*n - 144. Let a(b) = 63*s(b) + 4*z(b). Differentiate a(u) with respect to u.
-27*u**2
Let m be -1 - 0 - (-5 + 0). What is the first derivative of 2 - 2*g**3 + 0 + 3*g**m + 2*g**3 wrt g?
12*g**3
Suppose 3*c = c. Find the second derivative of 0*u**3 + c*u**3 + u**3 - 2*u wrt u.
6*u
Let s(y) = 3*y**3 - 16*y**2 + 11*y. Let f = -4 - 2. Let i(b) = b**3 - 8*b**2 + 6*b. Let c(g) = f*s(g) + 11*i(g). What is the third derivative of c(l) wrt l?
-42
Let a(f) = 27*f**4 + 5*f**3 + 5*f**2 + 5. Let c(w) = -13*w**4 - 2*w**3 - 3*w**2 - 2. Let n(l) = 2*a(l) + 5*c(l). Find the third derivative of n(p) wrt p.
-264*p
Let s(g) = -4*g**4 - g**3 - 10*g**2 + 1. Let v(w) = w**4 + w**3 + w**2 - 1. Let t(p) = s(p) + v(p). What is the third derivative of t(c) wrt c?
-72*c
Let c(b) be the second derivative of b**4/12 - b**3/3 - 4*b**2 + 3*b. Let s(v) = -v**2 - v + 1. Let h(x) = -c(x) + 2*s(x). What is the derivative of h(p) wrt p?
-6*p
Let f be (-4)/(-6)*9/1. Find the first derivative of -f*p**3 + 4*p**3 + 2 - 5 wrt p.
-6*p**2
Let i(g) = g**3 + g**2 - 5*g - 5. Let p(v) = -2*v**2 + 4*v + 4. Let l(c) = -4*i(c) - 5*p(c). What is the third derivative of l(r) wrt r?
-24
Let z(u) = -19*u**3 + 8*u**2 + 23*u. Let k(n) = 6*n**3 - 3*n**2 - 8*n. Let r(w) = 8*k(w) + 3*z(w). Find the second derivative of r(h) wrt h.
-54*h
Let x(b) be the first derivative of b**6/180 + b**5/30 + b**3 - 3. Let r(u) be the third derivative of x(u). Find the second derivative of r(s) wrt s.
4
Let x(f) = 8*f**3 - 4*f**2 + 4*f + 11. Let z(h) = -9*h**3 + 3*h**2 - 3*h - 11. Let l(b) = -3*x(b) - 4*z(b). Find the first derivative of l(m) wrt m.
36*m**2
Let y(m) = 4*m**2 + 15. Let g(a) = -6*a**2 - 23. Let h(i) = -5*g(i) - 8*y(i). Differentiate h(d) wrt d.
-4*d
Let p(o) = 11*o - 6. Let d(n) = 22*n - 11. Let i(y) = 5*d(y) - 11*p(y). What is the first derivative of i(x) wrt x?
-11
Let r(h) be the third derivative of h**4/3 + 13*h**3/2 + 18*h**2 - 2. Differentiate r(q) with respect to q.
8
Let p(j) = -25*j**2 + 29. Let w(a) = 13*a**2 - 15. Let t(r) = 6*p(r) + 11*w(r). What is the first derivative of t(n) wrt n?
-14*n
What is the third derivative of -34*d - 9*d**6 - 4*d**2 + 34*d wrt d?
-1080*d**3
Let n(o) = 12*o**3 + o**2 + o + 13. Let q(g) = g**3 + g**2 + g + 1. Let l(a) = n(a) - q(a). What is the derivative of l(f) wrt f?
33*f**2
Suppose 9 = 2*r - 1. Let a(d) = -d**2 - 5*d - 2. Let k be a(-4). Find the first derivative of -r*j**3 + 8 + 1 + k*j**3 - 4 wrt j.
-9*j**2
Let i(t) = 57*t**4 + 7*t**3 - 7*t - 6. Let z(n) = 19*n**4 + 2*n**3 - 2*n - 2. Let u(l) = 2*i(l) - 7*z(l). What is the first derivative of u(o) wrt o?
-76*o**3
Find the third derivative of 25*u**4 + 11*u**2 - 15*u**4 - 15*u**4 wrt u.
-120*u
Let d(c) be the second derivative of -9*c**8/28 + 7*c**4/12 + 16*c. Find the third derivative of d(s) wrt s.
-2160*s**3
Let o(n) = -3. Let a(d) = -d**2 + d - 9. Let u(i) = 2*a(i) - 7*o(i). Let x(f) = f. Let z(b) = -u(b) + 2*x(b). What is the derivative of z(y) wrt y?
4*y
Let a = 3 - 3. Let g = 1 + a. What is the derivative of -j + 0*j + g - 2 wrt j?
-1
Let d(n) be the second derivative of 0*n**2 - 1/6*n**4 + 0*n**3 + 0 - 1/30*n**6 + 2*n + 0*n**5. What is the third derivative of d(q) wrt q?
-24*q
Let z(u) = -23*u**3 - 32*u**2 + 11*u. Let s(r) = 12*r**3 + 16*r**2 - 6*r. Let c(d) = -11*s(d) - 6*z(d). What is the third derivative of c(y) wrt y?
36
Let l = 0 + 1. Let q(a) = 2*a - 3. Suppose 10*k = 2*k + 8. Let g(o) = -o. Let x(u) = k*g(u) + l*q(u). Differentiate x(w) wrt w.
1
Find the third derivative of -16*k**2 + 0*k**3 + 9*k**2 + 13*k**2 + 6*k**3 wrt k.
36
What is the derivative of -185*c**3 + 371*c**3 - 173*c**3 + 30 wrt c?
39*c**2
Let b(p) be the first derivative of -4*p**5/5 + 10*p**3/3 - 10. Find the third derivative of b(n) wrt n.
-96*n
Let t be 7 - -4*(-2)/4. What is the derivative of -t*v**3 - 11*v**2 + 11*v**2 + 4 wrt v?
-15*v**2
Let b(f) = f + 7. Let l(k) = k + 13. Let p be l(0). Suppose -2 - p = -3*q. Let s(o) = 1. Let m(y) = q*s(y) - b(y). Find the first derivative of m(h) wrt h.
-1
Let d(j) be the first derivative of 0*j**3 - 1/12*j**4 - 1/2*j**2 + 2*j + 1. Let r(x) be the first derivative of d(x). What is the derivative of r(g) wrt g?
-2*g
Let d(q) be the second derivative of 0*q**2 - 1/6*q**3 + 1/12*q**4 + 0 - 2*q. Find the second derivative of d(b) wrt b.
2
Let s(r) be the second derivative of 2*r**4 + 5*r**3/2 + 26*r. Find the second derivative of s(z) wrt z.
48
What is the third derivative of 8*z**2 - z**2 + 3*z**4 - z**4 wrt z?
48*z
What is the third derivative of 35*k**4 - 4*k**2 - 2*k**4 - 3*k**4 + 31*k**2 wrt k?
720*k
Let k(u) = -u**2 - 5*u + 2. Let z be k(-5). Find the third derivative of -r**2 - 6 + 6 - z*r**3 wrt r.
-12
Let n(p) = p - 1. Let v be n(3). Let c(q) = -q**3 + 5*q**2 - 3*q - 1. Let g be c(3). What is the second derivative of 8*k**2 - g*k**2 + k + v*k**5 wrt k?
40*k**3
Let p be 5/3 - (-2)/(-3). Suppose d - p - 2 = 0. What is the third derivative of -3*m**4 + 2*m**2 - d*m**2 - m**2 wrt m?
-72*m
Let r(b) be the third derivative of 0*b**5 - 1/120*b**6 + 0*b**4 + 0 - 3*b**2 - 1/2*b**3 + 0*b. Find the first derivative of r(a) wrt a.
-3*a**2
Differentiate -7*f**4 + 14 - 5*f**4 + 15*f**4 wrt f.
12*f**3
Suppose -t = -5*c - 31, c - 59 = -5*t + 2*c. Find the second derivative of 0*v + t*v**2 - 5*v**2 - 6*v wrt v.
12
Find the first derivative of -1 + 14*g**3 + 4 - 6*g**3 + 4*g**3 wrt g.
36*g**2
Let i be 1/2*12/3. Find the second derivative of -4*r**i - 2*r**2 - 3*r + 5*r**2 + 2*r**2 wrt r.
2
Let m(l) = l**3 + 7*l**2 + 8*l + 5. Let k be m(-6). Let s = 9 + k. What is the second derivative of 7*q**s - 7*q**2 + 2*q**4 - 5*q + 2*q wrt q?
24*q**2
Let t(y) = -y**3 + y**2 - 1. Let j(s) be the first derivative of -s**6/2 - s**4/4 - s - 2. Let n(d) = j(d) - t(d). What is the third derivative of n(r) wrt r?
-180*r**2
| {
"pile_set_name": "DM Mathematics"
} |
15/28
Three letters picked without replacement from emmemmeememm. Give prob of picking 3 m.
7/44
Four letters picked without replacement from {p: 3, t: 1, b: 2, g: 6}. Give prob of picking 1 t and 3 p.
1/495
Calculate prob of picking 1 r and 1 v when two letters picked without replacement from rrvvvvvvvrvvvvv.
12/35
Two letters picked without replacement from {e: 7, x: 12}. Give prob of picking 1 e and 1 x.
28/57
Four letters picked without replacement from ufuiifif. What is prob of picking 1 u and 3 f?
1/35
What is prob of picking 2 z when two letters picked without replacement from lzlzllzlzzlzzllzlzz?
5/19
Two letters picked without replacement from {p: 1, y: 1, u: 8, w: 4, h: 3}. What is prob of picking 1 w and 1 h?
3/34
Calculate prob of picking 1 m, 2 t, and 1 y when four letters picked without replacement from ttmymtmmyymt.
2/11
Two letters picked without replacement from ppjjkpjpppjkkwx. What is prob of picking 1 x and 1 w?
1/105
Calculate prob of picking 1 a and 1 n when two letters picked without replacement from ubqna.
1/10
What is prob of picking 1 o and 2 h when three letters picked without replacement from oyolcoccccchpho?
4/455
Three letters picked without replacement from {q: 11, x: 1, o: 1}. Give prob of picking 1 x and 2 q.
5/26
Calculate prob of picking 1 g and 1 y when two letters picked without replacement from gryhghh.
2/21
Calculate prob of picking 1 d and 1 v when two letters picked without replacement from ykydovkvkykyyv.
3/91
Calculate prob of picking 3 n and 1 t when four letters picked without replacement from tntttnnntt.
4/35
Four letters picked without replacement from nxxxnnnnxx. What is prob of picking 1 n and 3 x?
5/21
Three letters picked without replacement from ssssssssssssssx. What is prob of picking 3 s?
4/5
Two letters picked without replacement from {o: 2, c: 6, q: 2, y: 1, t: 1, p: 3}. Give prob of picking 2 o.
1/105
What is prob of picking 1 x and 1 p when two letters picked without replacement from nnntntnnnxsttsnptnnt?
1/190
What is prob of picking 3 o when three letters picked without replacement from oooomm?
1/5
What is prob of picking 1 e and 3 x when four letters picked without replacement from xexxxxexxxxexexxxx?
364/765
Calculate prob of picking 3 f and 1 h when four letters picked without replacement from ffxxfxh.
1/35
Two letters picked without replacement from yrzgpryh. Give prob of picking 1 g and 1 r.
1/14
Three letters picked without replacement from {t: 2, a: 3, p: 1, d: 1, j: 3, g: 1}. What is prob of picking 1 p, 1 d, and 1 j?
1/55
Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {g: 3, d: 2}.
3/10
Calculate prob of picking 2 k when two letters picked without replacement from {b: 10, x: 2, k: 4}.
1/20
Four letters picked without replacement from {c: 1, o: 2, i: 7, r: 3, s: 5, z: 2}. What is prob of picking 1 c, 2 s, and 1 o?
4/969
Two letters picked without replacement from ollloollollo. What is prob of picking 2 l?
7/22
Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {g: 2, a: 4, s: 5, v: 2, y: 1}.
8/91
Four letters picked without replacement from qbbyqqqbybqmbqbqmb. What is prob of picking 2 m, 1 b, and 1 y?
7/1530
Two letters picked without replacement from {t: 2, s: 3, u: 10}. What is prob of picking 1 u and 1 s?
2/7
Calculate prob of picking 1 w and 1 s when two letters picked without replacement from wsswwwswwwwmwww.
11/35
Three letters picked without replacement from {v: 2, a: 9}. Give prob of picking 2 v and 1 a.
3/55
What is prob of picking 3 m and 1 k when four letters picked without replacement from {n: 2, k: 8, m: 4}?
32/1001
Two letters picked without replacement from {a: 6, c: 1, n: 6, h: 5, q: 1, u: 1}. Give prob of picking 1 u and 1 q.
1/190
Calculate prob of picking 2 i when two letters picked without replacement from {i: 9}.
1
Calculate prob of picking 2 a when two letters picked without replacement from aqahhffaaahi.
5/33
Three letters picked without replacement from mmccmcmcmmcccmcmmmcm. What is prob of picking 1 c and 2 m?
33/76
Calculate prob of picking 3 h when three letters picked without replacement from hhhhh.
1
What is prob of picking 3 u and 1 c when four letters picked without replacement from uuaucuuuu?
5/18
Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {x: 1, h: 1, j: 2, f: 1, k: 2}.
2/21
Four letters picked without replacement from hwsdshhsvgvdv. Give prob of picking 3 s and 1 d.
2/715
What is prob of picking 3 g when three letters picked without replacement from {g: 3, v: 1, d: 2, c: 1, b: 7}?
1/364
Four letters picked without replacement from {p: 4, a: 2, m: 1, k: 4, f: 8, n: 1}. Give prob of picking 3 f and 1 n.
56/4845
What is prob of picking 2 y when two letters picked without replacement from {w: 1, y: 3}?
1/2
Calculate prob of picking 2 h when two letters picked without replacement from {h: 7, e: 2}.
7/12
Calculate prob of picking 3 i when three letters picked without replacement from {r: 1, z: 8, i: 8}.
7/85
What is prob of picking 1 r and 2 w when three letters picked without replacement from uwwttrututrtrurtrt?
5/816
What is prob of picking 2 p when two letters picked without replacement from {l: 8, p: 3}?
3/55
Calculate prob of picking 1 l and 1 s when two letters picked without replacement from jljjjljssjlslj.
12/91
Four letters picked without replacement from {a: 7, k: 8, g: 2, e: 3}. Give prob of picking 1 g and 3 e.
2/4845
Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {b: 2, j: 2}.
2/3
Two letters picked without replacement from {n: 4, u: 2, a: 4, z: 9}. Give prob of picking 1 n and 1 u.
8/171
Three letters picked without replacement from cuufusfuuscscuucwcu. Give prob of picking 1 s, 1 w, and 1 f.
2/323
Two letters picked without replacement from {c: 1, e: 3, u: 2, o: 6}. What is prob of picking 1 c and 1 u?
1/33
Four letters picked without replacement from {l: 2, p: 2, e: 4, s: 2}. Give prob of picking 1 l, 1 e, 1 s, and 1 p.
16/105
Three letters picked without replacement from {w: 2, a: 1, p: 2, f: 3, g: 6, l: 1}. Give prob of picking 1 a and 2 g.
3/91
Calculate prob of picking 1 i and 2 q when three letters picked without replacement from qdbiqqi.
6/35
Three letters picked without replacement from {h: 3, m: 9}. What is prob of picking 2 h and 1 m?
27/220
Three letters picked without replacement from yoydwwwyywy. What is prob of picking 1 d and 2 y?
2/33
Two letters picked without replacement from jhhdddjsjhd. What is prob of picking 1 d and 1 s?
4/55
What is prob of picking 1 i and 3 o when four letters picked without replacement from zizxzozopp?
0
Two letters picked without replacement from {a: 6, i: 2, d: 3, r: 3, c: 1}. What is prob of picking 1 i and 1 a?
4/35
What is prob of picking 1 d and 1 w when two letters picked without replacement from dpewdww?
2/7
What is prob of picking 1 m, 2 w, and 1 h when four letters picked without replacement from qzwquhwmuwq?
1/110
Calculate prob of picking 2 y and 2 r when four letters picked without replacement from {r: 8, s: 1, k: 2, y: 5, j: 1}.
2/17
What is prob of picking 1 u, 1 a, and 1 t when three letters picked without replacement from duddmmtmstsatud?
6/455
Four letters picked without replacement from {a: 2, l: 3, m: 9, o: 3, q: 1}. Give prob of picking 2 o and 2 a.
1/1020
Two letters picked without replacement from zzydzpb. What is prob of picking 2 p?
0
Calculate prob of picking 2 q and 1 e when three letters picked without replacement from dqqeeqq.
12/35
What is prob of picking 1 s, 1 r, and 1 v when three letters picked without replacement from rvvxwswxvwvwwwrvvvw?
14/969
Calculate prob of picking 4 p when four letters picked without replacement from {p: 10}.
1
Two letters picked without replacement from {y: 2, k: 3, e: 4}. What is prob of picking 2 y?
1/36
Two letters picked without replacement from zqfqzffxuufueuu. What is prob of picking 1 u and 1 q?
2/21
Calculate prob of picking 1 t and 1 h when two letters picked without replacement from djpdhht.
2/21
Calculate prob of picking 4 m when four letters picked without replacement from mkkmkmmmmkkmmmmm.
33/182
Two letters picked without replacement from coooooocooccoqooc | {
"pile_set_name": "DM Mathematics"
} |
n be b(-3). Factor -12 - 22*p**3 - 96*p**2 - 12*p**3 + 61*p**n - 70*p - 9*p**3.
2*(p - 6)*(3*p + 1)**2
Suppose -9 = 5*r - 34. Let a be (-117)/78*(-2 + 0/(-1)). Suppose 4*x**2 + 4*x**4 - 3*x**2 - r*x**4 + 2*x + x**a - 3*x = 0. Calculate x.
-1, 0, 1
What is v in 8*v**2 + 17*v - 3*v - 8*v**2 + 5*v**2 - 7*v**2 = 0?
0, 7
Suppose 62*k - 21 = 55*k. Let n = 15 + -13. What is d in -1/2*d**k + 0*d + d**4 - d**n + 0 + 1/2*d**5 = 0?
-2, -1, 0, 1
Factor 30*s**2 - 16*s**4 - 5 + 31*s**4 - 20*s**3 - 20*s**3.
5*(s - 1)**3*(3*s + 1)
Let y(o) be the third derivative of 0 + 1/60*o**5 + 1/24*o**4 + 0*o - o**2 - 1/6*o**3 - 1/120*o**6. Factor y(q).
-(q - 1)**2*(q + 1)
Suppose 0 = 16*h - 12*h + 32. Let l(j) = -14*j**3 + 58*j**2 - 202*j + 142. Let i(t) = 5*t**3 - 19*t**2 + 67*t - 47. Let z(y) = h*i(y) - 3*l(y). Factor z(k).
2*(k - 5)**2*(k - 1)
Let q(a) = 55*a**3 + 60*a**2 + 60*a - 100. Let p(m) = -2*m**3 - m**2 - m + 1. Let f(t) = 25*p(t) + q(t). Solve f(n) = 0.
-5, -3, 1
Let x be 6/(-4) + 174/116. Suppose -2*s + 5 = 1. Find n such that 0*n**s + 0 + 4/3*n**4 + x*n + 1/3*n**3 = 0.
-1/4, 0
Let t(m) be the first derivative of 5/7*m**3 + 3/14*m**2 + 9/35*m**5 + 3/4*m**4 + 24 + 0*m. Factor t(x).
3*x*(x + 1)**2*(3*x + 1)/7
Let u = -8633/3 + 2878. Let -u*d + 1 - d**2 + 1/3*d**3 = 0. What is d?
-1, 1, 3
Let o(j) be the second derivative of 0 + 9*j + 20/3*j**3 + 5/12*j**4 + 0*j**2. Solve o(x) = 0.
-8, 0
Factor 1/2*x**3 + 5*x**2 + 14*x + 12.
(x + 2)**2*(x + 6)/2
Let w be 125 - (-12)/3 - 4. Let p = 251/2 - w. Factor 1/3*c + p - 1/6*c**2.
-(c - 3)*(c + 1)/6
Factor 0 - 4*d**3 - d**4 + 0*d + 1/2*d**5 + 0*d**2.
d**3*(d - 4)*(d + 2)/2
Let m = -3/182 - -561/910. Factor m*q**2 + 3/5 + 6/5*q.
3*(q + 1)**2/5
Let t(s) be the second derivative of -s**6/360 - s**5/120 + s**4/18 - s**3/12 - 21*s**2/2 - 7*s. Let c(k) be the first derivative of t(k). Factor c(g).
-(g - 1)*(g + 3)*(2*g - 1)/6
Let v = 258/35 - 146/35. Find m, given that v*m - 4/5*m**3 - 8/5 + 2/5*m**4 - 6/5*m**2 = 0.
-2, 1, 2
Let d(k) be the first derivative of 8*k + 0*k**2 - 2*k**3 - 4 - 1/2*k**4. Solve d(s) = 0 for s.
-2, 1
Let r = 1279 - 1276. Factor -10/11*q + 4/11 + 6/11*q**2 + 2/11*q**r - 2/11*q**4.
-2*(q - 1)**3*(q + 2)/11
Suppose 19*p + 3*p = -17*p. Factor 0 + p*d - 1/5*d**2 - 3/5*d**3 - 3/5*d**4 - 1/5*d**5.
-d**2*(d + 1)**3/5
Let f be 1 - (121/385 + (-4)/(-10)). Let r(q) be the first derivative of -9 - f*q**2 - 1/14*q**4 + 0*q + 2/7*q**3. Factor r(z).
-2*z*(z - 2)*(z - 1)/7
Let j(w) be the first derivative of 3*w**4 + 0*w**2 + 6/5*w**5 + 2/15*w**6 - 11 + 0*w**3 + 9*w. Let n(p) be the first derivative of j(p). Factor n(v).
4*v**2*(v + 3)**2
Let o(h) be the second derivative of -6*h - 9/4*h**2 + 25/8*h**3 + 0 + 9/16*h**4. Determine n so that o(n) = 0.
-3, 2/9
Suppose 0 = 4*h - 1 - 19. Suppose h*s + 0 = 3*q - 2, 0 = 3*q - s - 10. Factor -6 - d**2 + q - 5*d + 0 - 2*d**2.
-(d + 1)*(3*d + 2)
Let z = 235/4016 - -1/251. Let g(w) be the second derivative of 1/2*w**3 + 0 + 3/2*w**2 + 3*w + z*w**4. Determine p so that g(p) = 0.
-2
Let b(r) = -14*r - 3*r - 35*r**2 + 30 - 8*r + 25*r**3. Let i(w) = -w**4 - 24*w**3 + 34*w**2 + 24*w - 29. Let f(q) = -4*b(q) - 5*i(q). Factor f(o).
5*(o - 1)**2*(o + 1)*(o + 5)
Factor -234 + 60*n - 1/2*n**3 - 1/2*n**2.
-(n - 6)**2*(n + 13)/2
Let g(s) be the second derivative of 32/3*s**2 - 31*s - 64/9*s**3 + 0 + 7/3*s**4 - 11/30*s**5 + 1/45*s**6. Factor g(y).
2*(y - 4)**2*(y - 2)*(y - 1)/3
Let o(b) be the third derivative of -b**6/280 - 3*b**5/140 + 58*b**2. Factor o(y).
-3*y**2*(y + 3)/7
Factor -7*l**2 - 17/6*l**3 + 2/3*l - 1/6*l**4 + 28/3.
-(l - 1)*(l + 2)**2*(l + 14)/6
Let w(l) be the third derivative of 0*l - 1/420*l**7 + 0 - 1/2016*l**8 - 1/360*l**6 - 38*l**2 + 0*l**3 + 0*l**4 + 0*l**5. Suppose w(z) = 0. What is z?
-2, -1, 0
Let g(q) be the second derivative of -9*q + 117/50*q**6 + 1 + 4/5*q**3 + 0*q**2 - 17/5*q**4 + 183/50*q**5 - 81/70*q**7. Let g(s) = 0. Calculate s.
-1, 0, 2/9, 2
Let f be -4 - ((-5 - -2) + -6). Suppose 0 = -f*l + l + 5*g + 9, 2*l + g - 1 = 0. Factor 2*k**2 + l - 1 - 2*k + 0*k**2.
2*k*(k - 1)
Let s be 0 + (-4)/(-10) + (-264)/(-990). Let n(i) be the first derivative of -1/4*i**4 + s*i**3 - 6 - 2*i + 1/2*i**2. Find y, given that n(y) = 0.
-1, 1, 2
Let u(k) = 71*k**3 + 2*k**2 + k. Let v be u(-1). Let l = -70 - v. Determine b, given that l*b**3 + 0 - 1/3*b**5 + 0*b + 0*b**2 - 2/3*b**4 = 0.
-2, 0
Let m(v) = v**3 + 6*v**2 - 5*v - 48. Let g be m(-5). Solve -2/5*y - 7/5*y**g + 0 = 0 for y.
-2/7, 0
Let l(p) be the third derivative of 0*p**4 - 5/6*p**3 + 0*p - 2*p**2 - 1/1440*p**6 - 1/240*p**5 + 0. Let z(a) be the first derivative of l(a). Factor z(b).
-b*(b + 2)/4
Let n(f) = -f**2. Let h(z) be the second derivative of -z**4/12 + z**3 + 5*z**2/2 + 45*z. Let r(b) = -h(b) + 2*n(b). Factor r(a).
-(a + 1)*(a + 5)
Let c = 83 - 80. Factor -46*b + 0*b + 126*b**2 - 29*b - 17*b**c - 10*b**3 + 12.
-3*(b - 4)*(3*b - 1)**2
Let n be (3/(-43))/((-30)/(-219)). Let x = -2/215 - n. Let 27/2 + 27/2*d + x*d**3 + 9/2*d**2 = 0. What is d?
-3
Let o(u) be the first derivative of 0*u + 0*u**2 + 1 + 1/720*u**6 - 4/3*u**3 + 1/120*u**5 - 1/16*u**4. Let a(h) be the third derivative of o(h). Factor a(c).
(c - 1)*(c + 3)/2
Suppose -2*s = 10*s - 48. Suppose s*x - 2 = 14. What is a in 0 + 3/2*a**3 + 0*a**2 + 0*a - 9/4*a**x + 3/4*a**5 = 0?
0, 1, 2
Suppose 76729/8 + 1/8*x**2 + 277/4*x = 0. What is x?
-277
Let t = -74 - -79. Let n(l) be the second derivative of 0 + 4/15*l**4 - 4/15*l**3 - 1/10*l**t + 0*l**2 + 2*l + 1/75*l**6. Factor n(m).
2*m*(m - 2)**2*(m - 1)/5
Let z(o) be the third derivative of -o**6/360 - 2*o**5/45 - 13*o**4/72 - o**3/3 + 28*o**2 + 2. Let z(i) = 0. Calculate i.
-6, -1
Let f(i) be the second derivative of 0*i**3 + 0 - 2*i + 0*i**2 - 1/135*i**6 - 1/90*i**5 + 0*i**4. Factor f(a).
-2*a**3*(a + 1)/9
Let p(m) be the third derivative of m**7/105 - 29*m**6/60 + 112*m**5/15 - 49*m**4/3 - 30*m**2. Find j such that p(j) = 0.
0, 1, 14
Let c(u) be the second derivative of -u**6/150 - u**5/50 + u**3/15 + u**2/10 - 118*u. Factor c(w).
-(w - 1)*(w + 1)**3/5
Let j be (-1 - -1) + (-1395)/(-217) + -5. Suppose -6/7*m**2 - 8/7 + 24/7*m - j*m**3 = 0. What is m?
-2, 2/5, 1
Let v(t) be the third derivative of -t**7/105 + t**6/10 - t**5/30 - 2*t**4 - 16*t**3/3 + 65*t**2 + 2*t. Suppose v(c) = 0. Calculate c.
-1, 4
Let x(f) = 280*f**3 - 2832*f**2 - 6012*f + 1936. Let l(g) = 51*g**3 - 515*g**2 - 1093*g + 352. Let y(r) = 28*l(r) - 5*x(r). Factor y(h).
4*(h - 11)*(h + 2)*(7*h - 2)
Let o(a) = a**2 - 6*a - 16. Let d be o(9). Let u = d - 10. Suppose -t**2 + t**2 - u + 2*t - t**2 = 0. What is t?
1
Let r(u) be the second derivative of -1/15*u**4 + 2/5*u**2 + 1/5*u**3 - 3/50*u**5 + 0 + 19*u. Factor r(c).
-2*(c - 1)*(c + 1)*(3*c + 2)/5
Let n(k) be the first derivative of -k**6/2 - 24*k**5/5 - 15*k**4 - 10*k**3 + 63*k**2/2 + 54*k - 199. Find m, given that n(m) = 0.
-3, -2, -1, 1
Let d(i) = -3*i**2 + 23*i - 28. Let q(j) = -16*j**2 + 91*j - 111. Let u(a) = -9*d(a) + 2*q(a). Factor u(n).
-5*(n - 1)*(n + 6)
Suppose 19 = -3*a - 4*y - y, 15 = -3*a - 3*y. Let s(n) = n**2 + n - 6. Let o(q) = -6. Let b(u) = a*s(u) + 2*o(u). Solve b(i) = 0 for i.
-2, 1
Let -36 - 4*y**3 + 10*y + 4*y - 44*y**2 - 90*y = 0. What is y?
-9, -1
Let i be -7*(-36)/63 - 0. Let v(a) be the third derivative of -5*a**2 + 0 + 1/36*a**i + 0*a + 0*a**3 + 1/90*a**5. Determine g, given that v(g) = 0.
-1, 0
Suppose -l + 2*o = -3, -l = 3*l + 2*o - 52. Let -5 - l*m - 20*m**2 - 3 + 39*m = 0. What is m?
2/5, 1
Solve 0*n + 4/7*n**3 + 0 + 2/7*n**4 - 48/7*n**2 = 0 for n.
-6, 0, 4
Let a be 1440/140 + -10 - 5/42. Let q(g) be the first derivative of -a*g**2 + 4 - 1/18*g**3 + 1/24*g**4 + 0*g. Factor q(z).
z*(z - 2)*(z + 1)/6
Let u(y) be the first derivative of 3*y**4/28 - y**3/7 - 51*y**2/7 - 24*y + 49. Factor u(f).
3*(f - 7)*(f + 2)*(f + 4)/7
Suppose 4*k = 2*b + 14, 4*k + 9*b = 5*b - 4. Let 4/13 + 0*w**k - 2/13*w**3 + 6/13*w = 0. Calculate w.
-1, 2
Let i be 8/12*(265/(-35) + 8). Factor 0*m - 2/7*m**5 + 0*m**2 + 4/7*m**3 + 0 + i*m**4.
-2*m**3*(m - 2)*(m + 1)/7
Let g be ((-26)/8 + (-6)/8)/(-14). What is h in -2*h**3 - 4/7*h**2 - 8/7*h**4 + 0 + g*h = 0?
-1, 0, 1/4
Let w be 8/30 + (-7168)/(-1920). Let -2 - 2*f**w + 28/3*f**2 + 8/3*f**3 + 8/3*f = 0. What is f?
-1, 1/3, 3
Let m(l) be the first de | {
"pile_set_name": "DM Mathematics"
} |
y + 14. Solve 0 = y*n - d*n - 2 for n.
2
Let n be 5 - (3/(-3) + 2). Let v(u) = u + 1. Let m be v(n). Solve 0 - m = h for h.
-5
Suppose -3*d = -4*j - 12, -5*j - d - d + 8 = 0. Let t(s) = s**3 - s**2 - s - 3. Let b = 16 - 13. Let f be t(b). Solve j = -0*h + 4*h + f for h.
-3
Suppose -5 + 3 = -l. Solve 4*u = l*u + 8 for u.
4
Suppose 0*t + 2*t + 6*t = 0. Solve 2*a + a + 9 = t for a.
-3
Let w = -8 + 13. Solve d = -4*d + w for d.
1
Let y = 0 + -2. Let n(w) = -w + 2. Let u be n(y). Suppose -2*x = 0, -4*x = u*p - 3*x - 8. Solve p*f = -f + 3 for f.
1
Let u = 10 - 7. Let s be -4*(7/(-2) - -2). Suppose -s = -y - u. Solve -r = -0*r + y for r.
-3
Let l(w) = w**3 + 6*w**2 + 3*w + 3. Let h be l(-6). Let f be -8*(2 - h/(-6)). Solve 0 = 3*d - 4*d - f for d.
-4
Let s = -7 + 7. Suppose 4*q - 73 + 9 = 0. Suppose -40 = -5*p - 5*j, p + 0*p + 3*j - q = 0. Solve m + 2 - p = s for m.
2
Suppose -23 = -3*a + a + 5*m, 2*m + 26 = 5*a. Suppose -2*g = 4*o - 20, -3*g + 7 = a*o - 17. Solve 0 = -i - o*i - 12 for i.
-3
Let k be (1 + -2)/(4/12). Let a(g) = g**3 - 3*g**2 - 5*g + 3. Let i be a(4). Let s be 2*i*k/6. Solve 2*b - b = s for b.
1
Let d(o) = o**2 + 14*o - 8. Let h be d(-15). Solve 2*w = 15 - h for w.
4
Let r be ((-3 - -5)*3)/1. Suppose -r*f + 3*f = -9. Solve f*w = -w for w.
0
Let u(t) = t**2 + 4*t + 16. Let z be u(0). Solve -2*f = -6 + z for f.
-5
Let r be (-4)/14 - 60/(-14). Suppose 3*p - 2 = -5*z + r, 0 = -2*p + 4. Solve w = -z*w for w.
0
Suppose 2*x - 14 = -2*p, -4*x + 6 = -2*p - x. Suppose 0 = 4*z - n - p*n - 16, 5*n = -20. Suppose z = f - 1. Solve -9 = -2*y - f for y.
4
Suppose -3*h = -8*h + 10. Suppose 4 = h*l - c, 5*l + 0*c - 5*c - 10 = 0. Solve -l*o - o = 0 for o.
0
Suppose -o + 104 = -5*o. Let f = -13 - o. Suppose -4*n + 61 = f. Solve 0 = 2*t + 2*t + n for t.
-3
Let g(w) = -w**3 + 11 - 9*w**2 + w**3 - 9*w - w**3. Let f be g(-8). Solve -4*l = -3 + f for l.
-4
Let g(k) = -k**2 - 8*k - 7. Let w be g(-6). Suppose -5 - 10 = -w*z. Suppose x - o + 12 = 34, -o = z*x - 58. Solve -r - 3*r = -x for r.
5
Let q(t) = 4*t**3 - 2*t**2 + t - 6. Let n be q(2). Solve -s + 6*s - n = 0 for s.
4
Let k(p) = 2*p**3 + 9*p**2 - 5*p + 2. Let j be k(-5). Solve d = -d + j for d.
1
Suppose -6*n + n = 3*v - 57, v + 3*n - 19 = 0. Solve -v = 4*r - 3 for r.
-4
Suppose -2*l + 3*h + 6 = 0, 2*h + 1 = l - 3. Suppose 0 = -5*b - 4*d + 7, 0*d - 13 = -5*b - d. Let w be 6/b - (l + 0). Solve 0 = -w*v - 0*v + 6 for v.
3
Let a(d) = -d + 1. Suppose 0 = 2*j + 4*q + 20 - 8, 5*j - 2*q + 6 = 0. Let v be a(j). Let p be 3 + v + 2 + -6. Solve -p - 2 = -2*c for c.
2
Let n be 7/2 + 3/(-6). Suppose n*j = -2*l - 0 + 22, 0 = -4*j + 16. Suppose -m = 3 - l. Solve -c = c - m for c.
1
Let b(f) = -4*f**3 + f**2 - 1. Let d be 0 + 0 - (-3 - 0). Suppose -4*y - d = 1. Let r be b(y). Solve -r*w = -0 - 4 for w.
1
Suppose -i + 0*i = 2*b + 6, -22 = -5*i + 3*b. Suppose 2*d = -i*d + 16. Suppose -4*w = -2*w - 10. Solve d*k + w = -k for k.
-1
Let k be 5/20 - 11/(-4). Suppose -2*n = k*q + 28, -q = 5*n - 0*n + 31. Let v be (q*1)/(-2)*1. Solve 1 = -v*d - 11 for d.
-4
Let k be (1 - -2) + (-3 - -4). Solve -2*a = k - 8 for a.
2
Let q = -1 - -17. Let i(j) = -j**2 + 4*j + 7. Suppose p + 0 = -5, 5*p = -3*u - 10. Let m be i(u). Solve 2*y = -m*y + q for y.
4
Let i = 14 + -11. Suppose -2*x - 45 = -3*g + i*x, 4*x - 60 = -4*g. Let r = -5 - -9. Solve r*l = -l - g for l.
-3
Suppose -s = 2*b - 11, -2*b = -3*s - s - 6. Solve 2 = -4*g + b*g for g.
2
Let v(o) = o + 4. Let l be v(0). Suppose t = 4*t - i - l, 17 = 4*t + i. Solve t*k - 1 = 2*k for k.
1
Let i be 4 + -2 - (-1 - -3). Suppose 5*f + 9 - 69 = i. Suppose r = 4*r - f. Solve -t + r*t - 9 = 0 for t.
3
Let n(j) be the first derivative of 2*j**3/3 + j**2/2 - 2*j + 2. Let g be n(-2). Let i be (8/(-3))/((-2)/9). Solve -i = g*m - 0*m for m.
-3
Let g = 1 + -1. Suppose -2*r = -5*o + 1 - 3, -2*o + 3*r - 3 = g. Let z = o - -2. Solve -3*q = -z*q for q.
0
Let x(b) = -b**3 - 5*b**2 - b - 1. Let r be x(-5). Let s be (r + 2)*20/3. Suppose 3*v - s = v. Solve -5*c = -0*c + v for c.
-4
Suppose -39 = -4*z + 41. Suppose 5*j = 5*v + 57 - 12, z = 2*j - 4*v. Let m be 2 + j - (3 + -1). Solve -p - m = p for p.
-4
Let b = -5 + 11. Let g = 11 + b. Solve 3 = -4*y - g for y.
-5
Suppose 0 = -7*t + 5*t - 2. Let a(s) = -5*s. Let z be a(t). Suppose -q = z*v - 31 + 11, -4*q + 5*v + 5 = 0. Solve -2 - 23 = q*d for d.
-5
Suppose -4*h - h + 32 = 4*g, -2*h = -g - 5. Suppose -7 - 5 = -h*a, 2*n = -3*a + 49. Solve 4*r + 0 + n = 0 for r.
-5
Let w(d) = d**2 + 5*d. Let c be w(-5). Solve 2*g - 4 + 2 = c for g.
1
Let n(x) = x**2 + 4*x - 6. Let t be n(-6). Let q be 50/8 - t/24. Solve 2*w + 2 = q for w.
2
Let g = 13 + 16. Suppose -3*l + 140 = g. Let a = -25 + l. Solve -3*t = -6*t + a for t.
4
Suppose -n = -0*n. Suppose d = -n*a + 3*a + 8, -4*d - 32 = 4*a. Let c be a/14 - (-30)/7. Solve -8 = -c*i + 8*i for i.
-2
Let x(p) = 2*p - 1. Let k be x(3). Suppose -4*y = -7 - k. Suppose 2*n - y*a = n, -n - a = 0. Solve d - 2*d + 4 = n for d.
4
Suppose 4*o = 4*d + 16, 2*o - 8 = 3*o + 2*d. Solve o = 3*p + 9 + 6 for p.
-5
Let w(m) = -m**2 - 4*m + 1. Suppose -5*s + 2 - 22 = 0. Let z be w(s). Solve 3 + z = -b for b.
-4
Let l(j) = j**2 - 5*j - 2. Let y be l(10). Let q be y/(-27) + (-2)/9. Let t be -1 + q + 4*2. Solve -t*a = -a + 12 for a.
-3
Let l(o) = o**2 + 5*o + 5. Let a be l(-4). Let m(k) = -k**3 - 5*k**2 + 2. Let r be (-4)/((-32)/(-10))*4. Let y be m(r). Solve 3 = y*x + a for x.
1
Let d be -1*3*6/(-9). Let i(n) = -3*n + 9. Let g be i(3). Suppose 3*a - d*a - 2 = g. Solve a*c = 5*c + 9 for c.
-3
Let q = 24 + -20. Let d(r) be the third derivative of -r**4/24 - 3*r**3/2 + r**2. Let y be d(-9). Solve q + y = -o for o.
-4
Let k = 20 + -3. Suppose -p + 5 = -0*p, f + k = 4*p. Let g = 2 - 2. Solve g = 4*b - 1 - f for b.
1
Suppose 4*h - 5 = -o + 14, -5*o = 5*h - 20. Suppose a + 6 = -4*b + 4*a, 2*a = -b + 4. Solve 0 = h*y - b*y + 10 for y.
-2
Let o(s) = -s**2 + 6*s - 4. Let z be o(4). Suppose 0*v - q + 2 = 2*v, 16 = -z*q. Solve 3*l + v = 15 for l.
4
Let f(w) = -w + 9. Let t be f(7). Let r(n) = -n**2 + 6*n + 7. Let h be r(6). Suppose -4*y = 3 - h. Solve t*l + y = l for l.
-1
Let o = 71 + -64. Solve -o + 3 = -2*n for n.
2
Suppose 5*r = 24 + 1, -2*a + 1 = -r. Suppose -w - k = -a + 1, 0 = 5*w + k - 6. Solve 5*i + w = 21 for i.
4
Suppose -2*l + 2*i + 22 = 0, 2*i = -3*l + 7 + 1. Let v = -4 + l. Solve v*z + 3 = -3 for z.
-3
Suppose 4*g = -3*b - 17, -2*b + 3*g - 18 = -g. Let n = 21 + b. Solve -2 = -4*i - n for i.
-3
Let p be 2 + 3 + -5 + 3. Solve -2*j = -p + 1 for j.
1
Let l = 3 - -1. Let j = 5 + 2. Suppose j + 5 = l*r. Solve -r = g - 0*g for g.
-3
Let k(l) = -8*l**2 - 3*l - 3. Let f be k(-2). Let r = f + 40. Solve 3*c + 5 = r for c.
2
Let i = 5 - 5. Suppose -8 = f + 5*s - 29, -4*s = -2*f. Suppose 2*w - 2*j = 12, 5*j + 7 = 4*w - 20. Solve i = 3*k + w + f for k.
-3
Let g be 0/((2/2)/((-4)/8)). Solve g = -b + 2*b - 1 for b.
1
Let m(i) = i**3 - 2*i. Let q be m(2). Suppose -3*s = q - 19. Solve -s*r = -0*r - 20 for r.
4
Suppose -3*v + 24 = 3*o, 11 = o + 2*v + 2. Suppose -10 = -4*b + 2*b. Let a = o - b. Solve a*s = 3*s for s.
0
Suppose 0 = 2*h - 45 + 9. Let g = h + -18. Solve 0 = 4*s - g*s + 4 for s.
-1
Suppose 0*x = -3*x + 30. Suppose 2*w - w - 2 = 0. Suppose -4*s + 34 = w*y, 5*s - 44 = -y - 9. Solve x = 4*v - s for v.
4
Let w(g) = g**3 + 6*g**2 + 6*g + 6. Let h be w(-5). Suppose 4*m = 11 + h. Suppose 6*d + 4 = 8*d. Solve -j = -d*j + m for j.
3
Suppose 4*i + 18 = -5*s - 7, i + 2*s + 4 = 0. Let v(t) = -t**2 - 11*t - 6. Let z be v(i). Solve k = -z*k for k.
0
Let w(v) = v**2 + 2*v - 4. Let r be w(-4). Let s be 8/(-1)*(-1)/r. Solve -2 = -s*p - 0 for p.
1
Suppose -5*m = -k + 3*k - 23, 3*k = -5*m + 22. Solve -m*h = -0 - 5 for h.
1
Let g(x) = x**2 + 3*x - 5. Let k be g(-5). Let z be (-2)/(k/((-30)/(-4))). Let o = 6 + z. Solve o + 3 = -3*p for p.
-2
Let n = 1 + -1. Suppose -w - 4 + 6 = n. Suppose w*r + r = 0. Solve 4 = -r*u + 4*u for u.
1
Let l be (10 + 1)/(-5 - -6). Suppose -3*n - l = 5*b, b + 0*b = -4*n + 8. Suppose 0 = -0*z - z + n. Solve -z*m - m = 0 for m.
0
Let n(b) = b**3 - 6*b**2 + 6*b. Let r be n(5). Solve 0 = r*k + 10 - 5 for k.
-1
Let m be (1 - 3) + 3*2. Solve -3*d - m - 8 = 0 for d.
-4
Let j = -32 - -32. Solve j*c + c - 3 = 0 for c.
3
Let i(h) = h**2 - h. Let l be i(-1). Su | {
"pile_set_name": "DM Mathematics"
} |
m + 67*m - 53821306. Is m a composite number?
True
Let l = -152707 + 217440. Is l a prime number?
False
Let w(p) = -p - 10. Let x(j) = -j**3 + 4*j**2 - 5*j - 4. Let l be x(3). Let m be w(l). Suppose m = 7*g + 457 - 3306. Is g a composite number?
True
Let j be 8*(6/15 + (-35)/25). Suppose -3*z + 16 = -z. Is 2/j + 2362/z a prime number?
False
Let i(d) = -d. Let h(a) = -223*a - 3. Let f(p) = h(p) + 3*i(p). Let v be f(-17). Suppose 0*b = 5*b + 3*l - v, -5*b + 3835 = 5*l. Is b prime?
True
Suppose 0 = -3*c + 2*o - 1220, c = -4*o - 378 - 52. Let i = c - -2727. Is i a prime number?
False
Let x be (-14)/91 - (228/13)/3. Is -1*(x - 28012/4) a prime number?
False
Let t = -9847 + 9843. Let i(g) = 11*g - 63*g - 15 - 18*g. Is i(t) prime?
False
Let c(k) be the third derivative of 17*k**4/24 + 977*k**3/6 - 40*k**2 + 1. Is c(0) a composite number?
False
Suppose -y + 0 + 2 = 0. Suppose -4*g - y*v = -20912, -4*g + v + 20912 = -0*g. Is 3/(54/(-4)) - g/(-36) a composite number?
True
Let h(f) = 230*f**2 + 3*f + 617. Is h(-26) a composite number?
False
Suppose 7*t = 3*t + 12. Let v = 2676 - 2676. Suppose v = 3*i + 5*h - 1025, -2*i - t*h = h - 686. Is i a composite number?
True
Suppose -165640 = -10*g + 5*g. Is g + (-7 - -4) + 2 + 0 prime?
False
Let a(i) = -25*i - 284. Suppose -5*v = 10, 4*v - 3 + 77 = -2*k. Is a(k) a prime number?
True
Let m = -138 - -188. Suppose 273483 = m*g - 23*g. Is g a prime number?
False
Let s(m) = 81 + m**3 - 9*m**2 - 70 - 2*m**2 + 6*m. Let q be s(9). Let g = q - -576. Is g composite?
False
Let j be 224970/45*(-12)/8. Let a = j - -12298. Is a a prime number?
True
Suppose 0 = 13*t - 915428 - 458503. Suppose -t = 24*j - 27*j. Is j a composite number?
True
Let n(g) = -317*g - 3098. Is n(-15) prime?
True
Let p = 18679 - 11010. Is p composite?
False
Let z = -8 - -86. Is 1104/(-32)*z/(-9) prime?
False
Let l = 22500 - 11679. Is l a prime number?
False
Suppose 12*i - 97195 - 478817 = 0. Is i a prime number?
False
Let y(a) = -27*a - 13. Let k be y(-2). Let t = k + -36. Suppose t*r - 3681 + 161 = -u, 0 = -r + 4*u + 683. Is r a composite number?
True
Suppose 0 = 9*n - 753 + 510. Is 2/(-6) - ((-48609)/n + -1) a composite number?
False
Let x(h) = 38*h + 3243. Is x(86) a prime number?
False
Suppose 259*f = 249*f + 75950. Suppose -404 + f = 9*v. Is v a prime number?
False
Let x(z) be the first derivative of -z**5/5 - 4*z**4/3 - 7*z**3/3 + 15*z**2/2 - 10*z + 11. Let w(l) be the first derivative of x(l). Is w(-7) composite?
False
Let h = 61 + -45. Suppose -433246 = -h*g + 99346. Is g composite?
False
Suppose -2*b = -3*f - 1, 0 = -3*b + 18 - 3. Suppose 0 = f*i - 2*x - 3825, -3*i - 4*x + 967 = -2840. Is i composite?
True
Suppose -2271539 = -16*u - 563171. Is u prime?
False
Suppose 593 - 557 = 12*p. Suppose 4*b - p*g - 46082 = 0, 2*g - g - 57593 = -5*b. Is b prime?
True
Let j(k) = 300443*k**2 + 87*k + 89. Is j(-1) prime?
False
Let w(q) = -q**2 - 10*q - 12. Let p be w(-8). Let t(k) = 3086*k - 125. Is t(p) composite?
True
Is (-5254982)/(-6) - (-22 - 3648/(-171)) composite?
True
Let p(r) = -r**3 + 6*r**2 - 9*r + 4. Let g be p(4). Suppose -4*s + c = -9005, g = -s - 5*c + 2116 + 130. Is s prime?
True
Let g = -760 + 1341. Is (-52 + 50)*g/(-2) prime?
False
Let p = -71 - -71. Suppose -2*d = 2 - p. Let h(m) = -610*m**3 + 4*m**2 + 3*m. Is h(d) prime?
False
Suppose -2*p + 4*i - 192 = 0, -63 - 236 = 3*p + 5*i. Let u = -96 - p. Suppose -5*n - 6046 = -6*h + 2*h, u*h - 3034 = -3*n. Is h composite?
True
Suppose 0 = 4*y - 4*v - 5072, 6*v + 6331 = 5*y + 4*v. Suppose 402 = c - y. Suppose -3*q + 0*b + c = 4*b, 5*q + 4*b = 2781. Is q a prime number?
True
Suppose 0 = 5*p - n - 69756, -3*p + 0*n + 2*n + 41855 = 0. Suppose 10*k - p - 1119 = 0. Is k prime?
False
Let h(z) = -z**2 + 9*z - 19. Let x be h(5). Suppose -c - 2833 + 48488 = -4*b, -b + x = 0. Is c prime?
True
Let x be (-37)/(-7) - (-34)/(-119). Is 20244/4 + 1 + (2 - x) a composite number?
False
Let l = -45 + 57. Suppose -l*r + 72 + 0 = 0. Let m(a) = 328*a - 1. Is m(r) prime?
False
Let s(l) = -l**3 - 7*l**2 - 8*l + 13. Suppose 11*h + 69 - 14 = 0. Let i be s(h). Is 0 - i - (-1107 + 1) composite?
False
Let i(f) = -5313*f - 23. Let d be (5 + -3)/(-4)*4. Is i(d) a prime number?
False
Let o(n) = -n**3 + 25*n**2 - 30*n - 13. Is o(-16) composite?
True
Let u be (-16)/72 + (-4)/(-18). Suppose -3174 = -u*m - 6*m. Suppose -a + m = 5*w - 2732, -2592 = -4*w - 5*a. Is w a prime number?
True
Suppose -52*z + 432817 = 3*d - 48*z, 5*d = -4*z + 721383. Is d a prime number?
False
Let b be (7 + -41)*-4*113/2. Let f = b - 2213. Is f a composite number?
False
Let x(a) = 1951*a**2 + 222*a - 4186. Is x(24) prime?
False
Let d(o) = o**3 + 5*o**2 - 3*o - 10. Let u be d(-5). Is -3 + (-26 - (u - 8))*-104 a prime number?
True
Let u be ((-9)/27)/((-2)/6)*1. Suppose 2*d - 9 = -u. Suppose s - 2152 = -3*w, -w - 3*w + 2856 = d*s. Is w a prime number?
True
Let a(k) = -203*k - 119. Let l be 196/(-147) + (-92)/3. Is a(l) prime?
False
Let z(p) = -26*p**3 - 10*p**2 - 17*p + 26. Is z(-15) a composite number?
False
Is 2/(-33) + 1953/(-2079) - 138288/(-2) a prime number?
True
Let a be 4/5 - (-5 + (-112558)/(-10)). Let k = a + 16081. Is k a prime number?
True
Let s(n) = 26796*n**2 - 235*n + 935. Is s(4) prime?
True
Let f(i) = 41*i**2 - 161*i - 55. Is f(54) prime?
True
Let s(z) = -z**2 + 16*z - 28. Let y(q) = -q - 1. Let w(l) = s(l) - y(l). Let k be w(16). Let n(v) = -21*v + 34. Is n(k) composite?
True
Let l be (-493578)/(-108) + 2/(-12). Suppose p + 5*t = 1115, -l = -p - 3*p + 2*t. Is (2 - p/8)*-6 a prime number?
False
Suppose f - 8118 = -2*r - 343, 0 = 2*f + 2*r - 15540. Let d = f - 5316. Is d composite?
True
Suppose 10*m + 12431 = 74771. Suppose 5*k - 25 = 0, -3*h + 5*k + 1340 = -m. Is h prime?
False
Let w = -391 - -857. Suppose -8*t + w + 350 = 0. Suppose 5*q - 2863 = t. Is q a composite number?
False
Let r(k) = -346*k - 1. Let h be r(-2). Suppose 1402 = 2*a + 2*b, -2*a + 3*a - 4*b - h = 0. Let z = a + 62. Is z composite?
False
Let z(t) = -12*t**2 - 23*t - 11. Let r(g) = 8*g**2 + 15*g + 7. Let x(i) = 8*r(i) + 5*z(i). Let b be x(-2). Let h = b + 6. Is h a composite number?
False
Let y be ((-6)/(-2))/(-1 - (-1)/4). Let q be y/(36/(-33)) - (-6)/18. Suppose 4*k + z - 9831 = 0, q*z + 5 = 3*z. Is k a prime number?
True
Let r(c) = 119425*c - 1792. Is r(15) prime?
True
Let r = -50943 + 232442. Is r prime?
True
Let b = -1045058 - -1815119. Is b a composite number?
True
Is (134/12)/(17/20094) composite?
True
Suppose -3*d + 2*v + 688261 = 0, 8*d - 5*v = 7*d + 229416. Is d a prime number?
False
Let d be 19293 - -1*(-25)/(-10)*-2. Let k = d + -13229. Is k prime?
False
Suppose -220682 = -6*n + 165855 + 200089. Is n a prime number?
True
Let w(s) = s**3 + 9*s**2 + 8*s + 5. Let a be w(-8). Suppose 4*t = 5*b - 14987, -a*b = 5 - 0. Let g = t - -6033. Is g a prime number?
False
Let i(c) = c**3 + 23*c**2 - 13*c + 3. Suppose 100 = -6*w + 16. Is i(w) composite?
False
Let b = 620604 - -415905. Suppose b = 28*w + 256121. Is w a composite number?
True
Suppose 4*d - 21 = -3*u, 3*u + d + 6 = 6*d. Let g(m) = 0*m + 0*m**u - 9*m**2 + 8*m + 5 + 6*m**3 - 4*m**3. Is g(8) a prime number?
False
Let q(r) = -3492*r + 1. Let v(p) = -p**2 - 19*p - 1. Let n be v(-19). Is q(n) a composite number?
True
Let t(n) = -81*n**2 + 14. Let r be t(6). Let w = -1379 - r. Is w a prime number?
True
Suppose 0 = 31*x - 44*x + 1794. Suppose 137*t + 3387 = x*t. Is t a composite number?
True
Suppose 43*z - 152*z + 4281629 = 0. Is z a composite number?
True
Suppose -22*p + 166579 + 1863603 = 0. Is p a composite number?
True
Suppose -3*r - 12 + 69 = 0. Let g = r - 17. Suppose -4*p = -4, -p = 5*a + g*p - 578. Is a a prime number?
False
Let q be 101/(-6)*-2 + (-2)/(-6). Is 8/(-12)*(-64209)/q a composite number?
False
Let r(c) = -c**3 + 15*c**2 - 14*c - 1. Let l be r(14). Let x be l/(-3) + 45/27. Suppose -g + 609 = -4*b, x*g + 588 = -4*b + 1866. Is g composite?
True
Let u be 33834/(-18) - 6/18. Is (3 - u/(-15))*-33 a prime number?
False
Let w(g) = 365*g**2 + 10*g + 186. Is w(14) a composite number?
True
Suppose 0 = 3*r - 2*c - 47 + 5, -4*r + 56 = -5*c. Let j(h) = 12*h + 18. Let t be j(r). Suppose -4*y = 2*y - t. Is y a prime number?
True
Is ((-42322)/5)/((-722)/855 + 8/18) composite?
True
Let s = -24 + 134. Suppose -y = -2*y + 4 | {
"pile_set_name": "DM Mathematics"
} |
alue of ((-15)/(-90)*33 + (-3069)/165)*-10?
131
What is 341600/2812320 + 6/(-62)?
2/81
Evaluate (126/(-630))/(35/(-6825)).
39
What is the value of (-9)/2*((-128)/38 - (935/255 - 7))?
3/19
Calculate -5 - 120/(-204)*3*3.
5/17
452/32*(-639 - -631)
-113
What is (-422)/9292 + (-99843)/(-2323) + -43?
-3/46
What is ((-2178)/(-94380))/((2 - 0)*((-12)/(-10))/(-1))?
-1/104
What is the value of (-9845)/165 + 59 - 434/(-660)?
-1/110
(4172192/(-22413))/(-8) - (-2)/31
70/3
What is ((-41405)/(-325) + -128)/(82/10)?
-3/41
Evaluate (1 - (-800)/25) + 180/(-12).
18
Calculate 588/54 + (-80)/12*(-180)/(-120).
8/9
Calculate (2550/(-2125)*10/8)/(3/34).
-17
Evaluate 2585 - 2661 - (15 + -1 + 3 - 1).
-92
Evaluate (13 - 13)*2/(-20) + 2/213.
2/213
(-24836)/1554 - (-134 + 118)
2/111
What is (-40 - 83750/(-2100) - (4 + 69/(-18)))*-301?
86
Calculate -3 + -30 - (20640/(-43))/32.
-18
What is the value of ((-14)/8*2652/(-1547))/(1/((-159)/9))?
-53
What is the value of 2/75 - (-14 - 85291/5025)?
31
Evaluate (-1)/(2/(-12))*1191/(-1588) + 0.
-9/2
(-10)/4*((-30186)/3705)/129
3/19
64 + (40 - 210980/2030)
2/29
What is the value of (-18 - (-558)/27)*3/280?
1/35
Evaluate (-42)/18 + -10 + 678/54.
2/9
Calculate -35*(-100)/(-5250) + 5/((-30)/56) - 72.
-82
Evaluate (-1 - (366/15)/2)*(-2713320)/331628.
108
What is (-499 - -445) + 19*4?
22
Evaluate (-16)/((-24)/(-32)*15/((-15525)/240)).
92
Evaluate 9 + 4 + (7/(-112))/((-8)/(-1424)).
15/8
(-20)/(-15)*90/165
8/11
What is ((-10)/(-6) - 0)*(-17928)/(-830)?
36
(-16)/1400*-14*(-890)/712
-1/5
1/(-4)*(29 + -59 + 32)
-1/2
Calculate (-440)/(-12) + 1 - (-352)/(-96).
34
What is ((-450)/7800)/(-6 - (28/42)/(8/(-78)))?
-3/26
Calculate (-4264)/3198 - (-2 + 62/33)*-16.
-36/11
Calculate (-4 + 4 + 32)/((-1)/1) - (167 - 175).
-24
What is (-7340)/55050*6/(-20)?
1/25
(30/45)/(56/12)*0 + 24
24
((-11235)/(-18725))/(672/225 + -3)
-45
Calculate 40/18*(-284814)/79115.
-8
What is the value of (118/15)/((-1365)/2275) + 13 + (-24)/27?
-1
Evaluate (-32)/2*-1 + -14167 + 14113.
-38
Evaluate (-317)/(-5) + 2 - -3 - ((-8122)/(-155) - 52).
68
Evaluate (25/6)/((-83 + 89)/108).
75
What is 54/(-63)*(-273)/78?
3
94/18 + (-64)/288 + 3 + -52
-44
What is the value of (36/15)/(6/(-12) - ((-1467)/270 - -5))?
-36
13 - (49 - -20) - -111
55
Evaluate 10/35 - (-17 + 15 + 5282/(-133)).
42
What is the value of (-4)/(-34) + 5/850*-428?
-12/5
What is (-30)/(-8 + 3) - ((-94)/752)/(2/208)?
19
Evaluate (-38 - (28 - 200))*((-94)/12 + -8 + 16).
67/3
What is (-20 - 4354/(-245))/(16/56)?
-39/5
(-50*21/210 - (146/17)/(-2))/(-2)
6/17
396/36 - (-1)/((-230)/2500)
3/23
Calculate ((-144)/720)/((-28)/(-560)).
-4
What is the value of (-84350)/1015 + (-349 - -432)?
-3/29
(88/(8800/(-2250)))/(-10)
9/4
What is (((-20)/(-15))/((-1)/(-24)))/(33866/7257)?
48/7
Evaluate (13 - -26) + -22 - 76/(-3 + 7).
-2
What is (-5)/30*((-138)/4 - -3)*36/(-27)?
-7
(-62)/(-12) - -22*285/(-1320)
5/12
What is (-196)/35 + (-28269)/(-5265)?
-3/13
(-36)/(-114)*(-99085)/745
-42
Evaluate (144/(-252))/(1/(2 + 255/(-138))).
-2/23
(0 - (-3 - 3)) + ((-85)/(-36))/((-30)/48)
20/9
(8/(-6) + (-22)/(-11))/((-48134)/1761)
-1/41
Calculate ((-7)/13 + -1)*(-21113)/42226.
10/13
What is (-15)/735*-49 + 2/(500/(-246))?
2/125
Evaluate (-8)/(-120)*4*184/(-276)*9/28.
-2/35
Calculate 79/(-19750)*50 - (-935)/50.
37/2
What is the value of ((-128)/120)/((-1682)/4205)?
8/3
What is the value of 963 + -1045 - (-50 - -3)?
-35
Calculate ((-1026)/(-57))/(((-1)/7)/((-43)/(-301))).
-18
Evaluate 112254/4942 + 2 + -23.
12/7
What is the value of 39 + (207948/(-117))/43?
-7/3
Calculate ((-8)/80 - 0)/(226/133340).
-59
182/6 - (14 + (-242)/(-198)*-12)
31
(-308)/(-30030)*-90*1/(-4)
3/13
-8 + ((-315)/2310*110 - 143/(-7))
-18/7
(-288)/(-2800) + 1286/22505
4/25
((-13)/9 - -1) + 5362965/(-260901)
-21
What is 31*((-4)/18 + 407/333)?
31
Calculate (-1202792)/(-1383690) + 6/(-495).
6/7
Evaluate 1 + (-22)/10 - -44*57/12540.
-1
What is the value of (24/7)/(((-8176)/100 - -82)/((-63)/15))?
-60
What is (502/(-10))/((-224)/(-160)) - (-2 - (-80)/70)?
-35
Evaluate 2 - (21/(252/(-8)))/(-6 + 0 + 4).
5/3
Evaluate (-198)/(-38) + (59840/(-24320) - 45/(-20)).
5
What is (-588)/99 + (-17 + 66/3 - -1)?
2/33
What is the value of ((-102)/96 - 92/(-1472))/((2 - -5)*1)?
-1/7
Calculate (295/413*168/900)/(3*4/(-780)).
-26/3
Evaluate (-10)/((-1360)/56)*((-102)/119)/((-2)/10).
30/17
What is the value of ((-218)/4251 - (-2196)/1755)*(-2 - 38)?
-48
What is (-278200)/(-128400)*(-2)/(-533)?
1/123
Evaluate (-230)/(-207) - ((-50500)/1980)/(-25).
1/11
Calculate (2/6)/(9*(112/(-18) + (-238)/(-1071))).
-1/162
63/(-630)*162/1377
-1/85
(-10 + 14 + -1)*(-7 + 6)/(-111)
1/37
What is the value of 4/((-16)/36) - (8/20 - 106/(-10))?
-20
((-90)/12 - 1)*(-148)/370
17/5
Calculate -9 + 6/(1/(-32)*-60)*(-175)/14.
-49
What is 100/125 + (-222)/90 + 278/12?
43/2
What is 26/(-56) + 0 + (-3000)/(-4000)?
2/7
What is (47 - (-7498)/(-161))/(2/(-364))?
-78
What is (-2068)/360 - (-161)/(-2898)?
-29/5
666*(-123)/11808 - (-2 - (-33)/16)
-7
What is the value of (160/36)/4*(62 - (-4031)/(-58))?
-25/3
What is (19 - 2134/110)/(((-2)/20)/(64/(-32)))?
-8
(1/64)/(32/(-24544)) + 62 + -22 + -28
1/64
Calculate 6*65*(-2136)/(-10680).
78
Evaluate 840/(-20) - ((-21)/18)/(17/(-102)).
-49
What is the value of 11600/280 - 41 - (-38)/(-133)?
1/7
What is (204/176*54 + 4/(-44))*4/(-10)?
-25
Evaluate (-27)/64*3666/16497.
-3/32
What is the value of 2*(-2)/(-26) - 365/((-29252925)/(-8768))?
2/45
Calculate (-11)/15 + ((-196)/462)/(-10*(-3)/(-165)).
8/5
What is the value of 0 + -3 - 70 - (810 - 834)?
-49
Evaluate (12/14 - (3 - 7/3))*(-4744)/(-66416).
2/147
What is (-5)/2*2*(-4 + 5) + (-13585)/(-2695)?
2/49
What is the value of 4*-3*((-7 - (-10)/4) + (-38)/(-152))?
51
Calculate 8/(-6)*(-291)/(-970)*((-81)/(-66) - 1).
-1/11
What is (-26)/(5278/(-2523)) - 11?
10/7
Calculate (1180/(-472))/(2 - 1 - -4).
-1/2
What is (47477/25305 - (-17)/((-6120)/(-16))) + 4/18?
15/7
Calculate ((-5)/(-22))/((-252875)/32725).
-1/34
What is the value of (-45 - -31)/(((-7)/(14/6))/((-4)/24))?
-7/9
Evaluate -59 - 24/((-2)/13 + (-21330)/780 + 26).
-43
Evaluate (383 + -395)/((4/10 - 228/(-30))/(-2)).
3
(-880)/1120*(2 + 1)*(-40)/110
6/7
What is the value of (0 + 0 - -4) + -144 + 12535/115?
-31
((-2)/4)/(5 - 2895/580) + (157 - 153)
-54
((-1026)/(-171))/(1/(-2) - 1) - (0 - -14)
-18
What is 204/(-3)*(10/12)/(-86 - (-77669)/909)?
102
Evaluate (480/(-1188) - ((-4)/22)/1) + (-237395)/3555.
-67
((-9)/1539*3)/(-139 + 140)
-1/57
What is ((-4)/(-42))/((-30)/4095*-78)?
1/6
Evaluate (2/(-2) - 14)*(-22728)/79548.
30/7
Calculate 7*14/49*(-89 + -6)/(-19).
10
Calculate (-306)/(-4) - 11436/7624.
75
Calculate (1/7)/((2263/1095 - 2) + (-106)/(-210)).
1/4
(30/(-33))/((-217)/9548)
40
What is (-9)/(-84)*3840/(-360)?
-8/7
What is ((-238)/12)/17*(2 + 1 + 3)?
-7
Calculate (-174 - -134) + (92 - 4).
48
Evaluate 4/((-1420)/5)*(-159)/(6837/(-86)).
-2/71
Evaluate 1/(-18) - (-8372)/23400*-25.
-9
378*83/(52290/180)
108
Calculate (-1 + 9)/(11*188/24299).
94
6/21 - (2 - 10)/(11704/66880)
46
Evaluate 5/35 - (-43)/(1204/(-24)).
-5/7
Calculate (-125)/(3125/1200) - (19 - 16).
-51
What is the value of (-223)/25 + 9 - 91773/2475?
-37
(2210/8840)/(1 + (-20)/19)
-19/4
What is 11 + 266/84*6 - (3 - -11 - 2)?
18
(16/12)/(16 - (-13 - 4011/(-126)))
-8/17
What is the value of (2030/116 + -14)*(2 - 3)?
-7/2
(-7 - 0)*(532/147)/(-38)*(3 + 24)
18
What is ((-1474)/187 + 8)*(2 + 0)?
4/17
Evaluate 115200/5850 - 286/169.
18
((2 - -20) + 2)*((-8)/42)/((-34)/119)
16
What is the value of ((-3193596)/(-1160))/171 + (-38)/5?
17/2
Evaluate (-26 + -32)/((-40)/28 - (10 + (-73)/7)).
58
Evaluate ((26 + -40 + -15)/(2/6))/(12/(-8)).
58
What is the value of -16*((-4)/70*-5)/(8/(-140)*-20)?
-4
Evaluate ((-140)/(-300) - (-1)/3) + (-5 - (-216)/55).
-3/11
What is the value of (-9540)/(-69615) - (-3 - (-60)/16)*(-16)/(-78)?
-2/119
Calculate (-51260)/12870 - (32/(-16) - 2).
2/117
(-1)/((-1)/(-12)) + 124470/1728 + -60
1/32
Calculate 13*(-70)/9555 - (4 + (-4544)/966).
14/23
Evaluate 303*(-255)/(-17170)*(-16)/63.
-8/7
Evaluate (221/(-39) - -5)*(-5 + 2 + (-1 - 38)).
28
Calculate (349/(-9))/(-1) + (-15 - (-24 + 1975/225)).
39
Calculate 69 + -164 + (-92400)/(-975).
-3/13
Evaluate 52/18*(42 - 38136/910).
4/15
(-2)/(-34) + 79058/287997
1/3
What is ((-5186)/(-62232))/(-1 | {
"pile_set_name": "DM Mathematics"
} |
p(w) prime?
True
Let h(p) = -59*p + 3. Let j(k) = -k**3 - 2*k**2 + 4*k - 1. Let l be ((-6)/(-4))/((-3)/6). Let m be j(l). Is h(m) a prime number?
True
Suppose r = -4, 4*d - 3*r = 4 - 0. Let w be -94*2/8*d. Suppose -2*c + c = -w. Is c a prime number?
True
Suppose -3*i - 12 = 3*a, 0 = 4*i - 7*i + 3*a + 18. Let z(l) = l**3 + l**2. Let v(j) = 60*j**3 - 8*j**2 + 2*j - 1. Let y(r) = v(r) + 6*z(r). Is y(i) prime?
False
Let g be (-442)/(-12) - (-9)/54. Suppose g = -2*v + 3*w + 524, v - 240 = -2*w. Let i = 405 - v. Is i a prime number?
True
Suppose -2*z + 8 = -6*z + 4*y, 5*z = -3*y - 18. Let l(w) = w**2 + 6. Let m be l(z). Is (-2)/6 - (-1730)/m prime?
False
Suppose -16*v - 111702 = -22*v. Is v prime?
True
Let h(b) = b**2 + 4*b + 3. Let v = 12 - 8. Suppose 0*k + v*k + 22 = u, 3*k + 9 = 0. Is h(u) a composite number?
True
Suppose 11*t = 33930 + 17891. Is t a composite number?
True
Let y(z) = 1902*z - 1. Let j(v) = 7609*v - 5. Let i(q) = 2*j(q) - 9*y(q). Let o be i(-1). Suppose -5*b + o + 346 = 0. Is b prime?
True
Let x(m) = m - 7. Let k be x(-8). Let h(v) = -11*v + 6. Let r be h(1). Is 373*r*3/k a prime number?
True
Suppose 16*s = 13*s + 5262. Is s a composite number?
True
Let y(f) = -19*f**3 - f. Let w be y(-1). Let r be (-13 - -33)/(2/w). Suppose 4*q + 4*h - r = 0, -3*q + 5*h - 144 = -6*q. Is q a prime number?
True
Suppose -9404 = -4*k + 240. Let m = -1722 + k. Is m a composite number?
True
Suppose i = 3*i + 3*x + 11, 3*x = -5*i - 5. Suppose i*c = 1355 + 2795. Suppose a + c = 6*a. Is a a prime number?
False
Let i = -17366 - -44295. Is i composite?
True
Is 43800/20 + (-1 - -6) composite?
True
Suppose 5*n + 3*x = 56782, -x + 45429 = 4*n - 2*x. Is n composite?
True
Let m = 12485 + 3242. Is m prime?
True
Let f be (-18)/(-4)*(-7 + 9). Is (1 + -258)/(f + -10) composite?
False
Let v = 9 - 11. Suppose -2*q + 4*d - 864 = -68, 0 = 5*q - 2*d + 1950. Is (q/10)/(v/10) prime?
False
Let d = -1196 - -1955. Suppose -3*n + 0*n + d = 0. Is n composite?
True
Let o(h) = -6*h**2 - 57*h - 2. Let n(x) = 2*x**2 + 19*x + 1. Let u(i) = 7*n(i) + 2*o(i). Let r(j) be the first derivative of u(j). Is r(9) a composite number?
True
Suppose -25 = -4*o - 0*c - c, -5*c = -5. Let p = -6 + o. Suppose -254 = -3*q + 5*n - 2, p = 4*n - 12. Is q a composite number?
False
Let q(y) = 300*y**3 + y**2 - 3*y + 1. Let f be q(2). Suppose 0 = -5*z + 4*z - 2*u + 471, f = 5*z - u. Is z composite?
False
Let z = 9 - 9. Suppose 0 = -z*a + 2*a. Suppose a = -2*s - 53 + 307. Is s prime?
True
Suppose 4*j + 4*a = 94302 + 119594, -20 = 4*a. Is j prime?
True
Suppose 154 = 2*p - 2*x, 2*p + x = -x + 170. Let h = p + -50. Is h prime?
True
Suppose -3382 - 6274 = -8*h. Is h prime?
False
Let q be 693/2 + (-1)/2. Suppose a - 213 = -4*w, 2*a - 3*w - 2*w = 374. Let u = q - a. Is u a composite number?
False
Suppose -14 = 5*c + 6. Let z(r) = 3*r**2 + 7*r + 6. Let t be z(c). Suppose -t = -g + 4*j + 157, -5*j - 990 = -5*g. Is g a composite number?
True
Let h be -1 - (-18)/30 - (-24)/10. Suppose 9 = o - 3*c + 2, -h*o = 2*c - 46. Is o a composite number?
False
Suppose 10*d - 9*d - 32 = 0. Suppose 4*l = -0*l + d. Let g = l + 363. Is g a composite number?
True
Suppose 4*i = -p + 19948, -4*i + 3*i - 5*p = -4987. Is i a prime number?
True
Suppose -8*p = -5*p - 534. Suppose 0*o + p = 2*o. Is o composite?
False
Let i be -1*(5 + 0) - -2. Let g(k) = -65*k + 2. Let b be g(i). Let r = b - 130. Is r composite?
False
Suppose 0 = 7*t - 4*t - 285. Let w = t + -48. Is w a composite number?
False
Let a(v) = 2*v - 7. Let d be a(5). Let c be -3 + 2 + 6 - d. Suppose -c*t = -92 - 26. Is t composite?
False
Suppose 69*v - 51*v - 147366 = 0. Is v a prime number?
False
Let s be (26/(-2))/((-301)/49 - -6). Suppose 0 = 2*z - 547 - s. Is z prime?
False
Suppose 0 = 3*k + k - 5*c - 68313, -5*k + 85386 = -c. Is k a composite number?
False
Suppose q - 8 = -3*i, 0 = i - 2*i - 2. Suppose 3*v = -4*x + 443, -x - 451 = -3*v + 3*x. Suppose q*c - v = 13*c. Is c composite?
False
Let f(h) = 102*h**2 - 14*h + 27. Is f(2) prime?
False
Suppose 1346 = h + 2*q - 6*q, 0 = -5*h + q + 6787. Let t = h + -696. Is t prime?
False
Let p = 990 + -361. Is p prime?
False
Suppose -190 = -3*g + g. Suppose -o + 2*z = -3 - 3, o = -5*z - 15. Suppose 5*m - g - 20 = o. Is m prime?
True
Suppose -3*w - u + 14164 = 0, -5*u - 14158 = -2*w - w. Is w prime?
True
Let a be 2/(8/(-10))*(-124)/5. Suppose -2*f - a = -180. Is f prime?
True
Let g be (3 + -1)/(2/3508). Suppose o - g = -3*o. Is o a prime number?
True
Suppose 0 = k - 2*v + v - 10713, -5*k = -3*v - 53557. Is k a composite number?
False
Let x be (-10)/15 + (-5912)/(-12). Suppose -m + x = 54. Suppose u + z = 215, -3*z - m = -2*u - 7*z. Is u a prime number?
True
Let u = 316 - 224. Suppose 5*z - 231 = -o, -327 = -5*z - 4*o - 93. Let w = u - z. Is w a composite number?
True
Let u = -1811 + 4920. Is u a composite number?
False
Suppose -114*f + 103*f + 30943 = 0. Is f a composite number?
True
Suppose -65796 = 8*k - 203692. Is k composite?
True
Let l(u) = -34*u**3 - 29*u**2 - 2*u + 4. Is l(-9) a prime number?
False
Suppose -4*m + 4*r + 872 = 0, 292 + 595 = 4*m - r. Is m a composite number?
False
Suppose 95*a - 92*a - 14663 = 4*g, -19544 = -4*a + 2*g. Is a a prime number?
False
Suppose 3*d - 3*o - 115930 = 103442, 2*d = 3*o + 146251. Is d composite?
False
Suppose 0 = -3*c + 20 - 5. Suppose -5*d + 0*l - l = -7, -3*d + c*l = 7. Let h = d - -52. Is h composite?
False
Let f(g) = -485*g + 23. Is f(-3) a prime number?
False
Let q(j) = -j**2 - j + 953. Let i = -26 - -26. Is q(i) prime?
True
Suppose 22 = j - 78. Suppose 4*w + 2*b = j, -3*b - 57 = -5*w + 2*w. Is w composite?
False
Suppose -92 = -3*j + 112. Is (-4)/(48/(-33))*j composite?
True
Let o = 287 + -29. Suppose m = -7 + 2, -m = 5*n + 15. Is n/(-4)*-2 + o a prime number?
True
Let i = 3 + 3. Let q be 6/(-2)*(-10)/i. Suppose q*h = 3*x + 370, -5*x - 309 = 3*h - 7*h. Is h a composite number?
False
Let z(o) = 188*o + 24. Let j be z(12). Let c = -1483 + j. Is c a prime number?
True
Let y(l) = 5*l + 19. Let f be y(-3). Suppose m = 2*a + 741, -a - 6 = -f. Is m composite?
True
Suppose 90615 = 19*d + 2*d. Is d prime?
False
Suppose -p - k + 2 = 0, 4*k - 8 = -4*p - k. Suppose 5*n + p = 4*b - 3, -16 = 3*n - 5*b. Suppose -n*c = -235 + 70. Is c composite?
True
Let a(k) = -272*k - 229. Is a(-14) prime?
False
Let m = -33 - -38. Suppose m*g - 566 = 389. Is g composite?
False
Suppose -6*h + 205 = -65. Suppose 0 = -0*j + 2*j + 4. Is 5709/h - j/15 prime?
True
Let a(p) be the first derivative of -p**2/2 - 7*p - 2. Let c be a(-12). Suppose -2*f - c*u + 678 = -3*u, 0 = 3*u. Is f prime?
False
Let p(m) = -8*m - 21. Let y(i) = 5*i + 19. Let f be y(-6). Is p(f) prime?
True
Suppose 0 = -g + 5*g + 4. Let j be g + 9 - 68/17. Suppose -3*i + 282 = 3*w, 3*i + 40 = -j*w + 322. Is i composite?
True
Suppose 5*b + 10 = 35. Suppose 5*o = -4*z + 2403, -b*z = -2*o - 0*o + 948. Is o composite?
False
Let y be 198/9*(-52 - -1). Let m be y/8*(2 + -6). Let z = 1004 - m. Is z prime?
True
Let m = 3964 + -2783. Let p be (220/176)/(2/8 - 0). Suppose -156 = p*f - m. Is f a prime number?
False
Let w = 6081 + -1019. Is w a composite number?
True
Let h(v) = 10*v**2 - 11*v + 76. Is h(-15) a composite number?
True
Suppose -5*s = -4*w - 6297, 2*s - 907 - 1625 = -5*w. Is s a composite number?
True
Let d = 2039 - 306. Is d a prime number?
True
Suppose u = 732 + 416. Suppose 4*p - u = -0*p. Is p a prime number?
False
Suppose -f + 8 = 3. Let s(a) = -118*a + 56. Let u be s(-6). Suppose -4*h + f*m = -u, -3*h = -m - m - 573. Is h prime?
True
Let u be 112/(-5) - (-48)/(-80). Suppose 0 = 5*n + 22 - 652. Let b = n - u. Is b a composite number?
False
Let a = -2313 - -3316. Is a prime?
False
Suppose -47773 = -71*x + 82228. Is x a prime number?
True
Suppose -10 = 8*k - 10*k. Suppose 0 = w - 3*w + 2*q + 8, -2*q - 12 = -3*w. Suppose k*x = -3*d + 167, -w*x = -9*x + 4*d + 139. Is x prime?
True
Is 24484*-6*4/(-96) composite?
False
Let s = 13067 - 336. Is s prime?
False
Is (20872/28)/(4/14) - -2 prime?
False
Suppose 0 = -149*r + 17522584 - 2412941. Is r a prime number?
False
Suppose 3*s - 6878 = -0*s - 2*b, 3*s + 3*b - 6873 = 0. Suppose -5*n - 5725 = -5*y, 0 = -4*y + 6*y - 4*n - s. Suppose -22*m + y = -20*m. Is m a composite number?
False
Let z = -68 - -136. Suppose 3* | {
"pile_set_name": "DM Mathematics"
} |
4) - 11/(484/(-16)). What is the closest to -1 in 5, -2/13, -5, v?
-2/13
Let n = -0.97 - 0.03. Let y = -139 + 139.006. Let o = y + -0.606. What is the nearest to n in 3, o, 2/5?
o
Let b = -1/8873 - -541256/26619. What is the nearest to -2/7 in 0.3, -31, b?
0.3
Let j(w) = -3*w**2 + 21*w + 437. Let d be j(16). Let s = -9 + 8. Which is the closest to s? (a) -0.07 (b) d (c) -4
a
Let l = -75 - 407. Let p = l - -482.07. What is the nearest to 1 in p, -0.5, 8?
p
Let l = 27/514 - -1353/3598. What is the closest to -0.18 in -306, -0.3, l?
-0.3
Let x = -16672/25011 + -2/25011. Let s = 25 + -67. Let k be (-14)/(-49) - 2/s. Which is the closest to k? (a) x (b) 3/5 (c) 2/15
c
Let l = 0.04 + 5.96. Let j = l + -7. Suppose 3*v = 3*d - 3, 4*v + 3*d - 35 = -32. What is the closest to j in 2/3, 2/13, v?
v
Let d be -54 + 48 - (0 + -2). Let f = -6 - -3. Which is the closest to 0.2? (a) d (b) -5 (c) f
c
Let r = 4.1 + 0.9. Let x be 8 - 12/(-16)*-372. Let m = 269 + x. Which is the closest to -1? (a) -2/9 (b) m (c) r
a
Suppose 473 + 1039 = 12*y. Let r be (6 + (-828)/y)/((-20)/14). Let f = 0.1 + -0.6. Which is the closest to -4? (a) f (b) r (c) -5
c
Let k = 2.95385 + 0.04615. What is the closest to 1 in k, -0.2, 76?
-0.2
Let i = -25884 - -25879. What is the closest to -1 in -4, 3519, 0.1, i?
0.1
Let u = 400 + -1201/3. Let m = 13/15 - 1/5. Let t = 0.14 + 8.86. Which is the nearest to m? (a) -2 (b) t (c) u
c
Let j be 1/2 + 28/(-40) - (-24)/20. What is the closest to j in -16, -2/9, -2/3?
-2/9
Suppose -4*d = -15 - 45. Let f = 5/277 - 287/554. Which is the closest to 1? (a) f (b) 0.05 (c) d
b
Let x = 1098/11 + -100. Let n = -156295/208372 + 4/52093. Which is the closest to n? (a) 0.2 (b) -0.1 (c) x (d) -6/13
d
Let w = 11502 - 11501. Let y = 2 + -1. What is the closest to y in 4, 0.5, w?
w
Let t = 4.302 + -0.792. Let n = 5.51 - t. Which is the nearest to -2/13? (a) 0 (b) n (c) 1 (d) 4
a
Let h be (16/(-4))/(112/(-24)*-3). Which is the nearest to -15? (a) h (b) -4 (c) 9/2
b
Let l = -9304 - -9303.9. What is the nearest to l in 2/13, -21, 0.36, -0.3?
-0.3
Let y = -579.8 + 584.8. Which is the closest to -4? (a) y (b) -0.3 (c) -43 (d) 0.2
b
Let f = 7.31336 + -0.31336. Which is the closest to 1/5? (a) 0 (b) -3.7 (c) f
a
Let y = -12250 + 12250. Which is the closest to 8? (a) 0.4 (b) 8 (c) -2/11 (d) y
b
Let x be -3 - (-9)/4 - 1359/(-36). Let f = -145/4 + x. What is the closest to -2 in f, -0.3, 4?
-0.3
Let l = 3056 - 9169/3. Which is the closest to l? (a) -5 (b) -1 (c) 2
b
Let h = 0.11344 + 1.28656. Which is the closest to 2? (a) h (b) -2/9 (c) -0.2
a
Let x(v) = -v**2 - v + 20. Let j be x(-5). Suppose w + 3*h = -j*w - 11, -3*w - 13 = -h. Let k = 0.1 + -0.2. Which is the closest to k? (a) w (b) 10 (c) 1/8
c
Let o be (-4756)/(-1595) + -2 + -1 + (-1)/(-5). What is the closest to -2/3 in 2/29, 3, 26, o?
2/29
Let n = 73.23 + -70.23. What is the closest to -1/3 in -2, -359, n?
-2
Let b = -2807 + 2804. What is the closest to 1/2 in -1502, b, -5?
b
Let l = 5213.62 - 5212. Which is the closest to 0.4? (a) -1 (b) l (c) 4
b
Let m be -2 - 36/(-24)*1. Which is the closest to 0.1? (a) m (b) 5 (c) -4/133 (d) -2
c
Let l(m) = m**2 + 95*m - 2437. Let f be l(21). Which is the closest to f? (a) -3/32 (b) 2.5 (c) 0.4
a
Let f be 0 + (-3)/(-2) - 0. Suppose 11*u + 9500 = u. Let h be ((-20)/u)/(1/(-5)). Which is the closest to -0.1? (a) -7 (b) f (c) h
c
Suppose -5*u = 2*d + 41, -u + 0*d - 19 = -5*d. Let s be u/11 + (7 - 13)/(-6). What is the nearest to -2/7 in 15, s, 3/8?
s
Let g = 83.7 + -108.7. Let w = g + 27. What is the closest to 2/5 in -3/5, w, -0.3, -0.5?
-0.3
Let k = -0.1166 + 0.2166. Let f = -20 + 15. Let n be 5/(-5) + 1/2. What is the nearest to k in f, n, 2?
n
Let w = 137 + -126. Suppose 69*n - 28 = 76*n. What is the nearest to n in 3/5, -3, w?
-3
Let h = 4109/8 + -513. Let s = -9.3 + 8.3. Which is the closest to s? (a) h (b) 2 (c) -2/9
c
Let m = 92.096 - 92. Let k = 0.104 + m. Let t = -0.6 - -1.2. What is the nearest to k in t, -1, 5?
t
Let u = -21290 + 21760. What is the nearest to u in 0.5, 0.1, 3?
3
Let m be (72/15)/(30/1275). Let t = m - 611/3. Which is the closest to -1/4? (a) -0.5 (b) t (c) -0.2 (d) 4
c
Let y = -0.112 - 40.288. Let w = y + 40.8. Which is the nearest to -1? (a) -2 (b) -2/11 (c) w (d) -4
b
Let x = -349 - -342.33. Let b = x + 1.67. What is the nearest to b in -2/15, -2, 3?
-2
Suppose 3*y = -2*n - 66, -3*y - 2*n + 5*n - 81 = 0. Let t be (-1)/((-6)/y) + (-52)/(-14). Let w = -1 + 0.6. Which is the nearest to 1? (a) t (b) w (c) -6
a
Let p be 14/(-6) - 8/(-4). Let u = 379.4 - 374.4. Which is the nearest to p? (a) 1/3 (b) u (c) 0.1
c
Let p = 1616.4 + -1615. Which is the closest to -1? (a) p (b) 6 (c) -7
a
Let m = 0.46617 + 0.13383. Let l = 13 + -14. Let f be l/(8/12*6). What is the closest to 1/2 in -0.4, f, m?
m
Let w = -4.9 - -7.99. Let m = -1.78 + w. Let f = -0.31 + m. What is the nearest to 2 in 1/8, f, 0.5?
f
Let g(l) = 20*l + 1. Let z be g(1). Suppose -67 = -12*q + 33 + 176. Let v = z - q. Which is the closest to v? (a) -2 (b) -5 (c) -0.5
a
Suppose -c + 2*j - 32 = -13, 0 = 4*c + 5*j - 2. What is the closest to c in 0.3, 1/5, -2/9, -4?
-4
Suppose -16 = 2*k - 4*u, -4*k + 1 = u - 12. Let j(g) = g**2 + 11*g - 22. Let m be j(k). Let f = -2 - -4. What is the nearest to -2 in 0.3, m, f?
0.3
Let f = 404 - 346. Let o = f + -54. What is the closest to -4 in -2, o, 3/7?
-2
Let q(v) = 2*v**3 - 17*v**2 + 25*v - 10. Let t be q(7). Suppose -5*a - t = g, a - 6*a = -5*g. Let l = 2 - 1.8. What is the nearest to -2 in 0, l, a?
a
Let v = 0 + -2. Let w = -0.35 + 43.35. Let j = w - 40. Which is the closest to j? (a) v (b) -2/19 (c) 1/2
c
Let n be 2/(-2)*70/7. Let c be 4/6 - n/3. Let l be ((-2)/c)/((-3)/((-132)/2)). What is the nearest to -0.1 in l, 3, 0.3?
0.3
Let g = 422 - 421.9772. Let p = g - 0.4228. Let w be ((2/4)/(-1))/(-1). What is the closest to 2/7 in -5, p, w?
w
Let t = -9 + -4. Let y = t - -13. Suppose 0 = 7*r - 13 + 20. Which is the nearest to r? (a) 3/2 (b) 4 (c) y
c
Let j = 10086 + -10088. Let o(x) = x**3 + 4*x**2 - 2*x. Let g be o(3). Let c = 401/7 - g. What is the nearest to c in -2/9, j, -0.5?
-2/9
Let h = -34 - -58. Let u = 35 - h. Let j = -11.3 + u. What is the nearest to 2/7 in 2, j, -5?
j
Let v be (-84)/208 - (534/78 - 7). Which is the closest to 0.1? (a) -10 (b) -3 (c) -6 (d) v
d
Let l = -102.8 - -112. Let j = l + -9.69. Let h = j + 0.39. Which is the closest to 2/5? (a) 5 (b) -4 (c) h
c
Let f = 664.041 + -0.041. Which is the nearest to 1? (a) f (b) 0.4 (c) -0.5
b
Suppose -65*k + 67*k = 42. Let u be (-6 - (-112)/k)*3. What is the closest to 2/7 in -0.42, u, -4?
-0.42
Suppose 0 = -d - b + 9 - 6, -d - 11*b = -13. What is the closest to 0.1 in d, 6.8, -2?
d
Let v be (-1 + 2 + -2 + 39/26)/1. What is the nearest to v in -2, 2/53, 82?
2/53
Let o be ((-290)/58)/(1/(-2)). Let j be 3/(-12)*10*32/o. Suppose -4*s - 12 = -0. What is the nearest to -1 in j, s, -4?
s
Let s = 0.1 - -0.1. Let u = 0 - s. Suppose 2*p = 31*d - 30*d + 3, -3*p - 2*d = 20. What is the nearest to p in 4, -5, u?
u
Let l = 15 - 13. Suppose -l + 0 = h. Let w be (-4)/10 + (520/(-75))/26. What is the nearest to h in -5, -2, w?
-2
Let h(c) = -c**2 + 19*c - 53. Let w be h(3). What is the nearest to -2/7 in w, 1, 17?
1
Let w = -489.6 - -10.6. Let a = -474 - w. What is the nearest to -2 in -4, 0.4, a, 1?
-4
Let q = -14446 + 187792/13. Which is the closest to 1.6? (a) 0.2 (b) -4 (c) q
a
Let m(i) = -4*i - 94. Let f be m(-16). Let d be (-8)/36*f/40. What is the closest to -0.4 in 1/5, 1, d?
d
Let h = 53 - 64. Let z = h - 3. Let n = z - -41/3. Which is the closest to -6? (a) 0.1 (b) -0.5 (c) n
b
Let o = -0.4911 - 0.0139. Let v = o - -1.005. What is the nearest to 0.2 in -0.04, v, 0.04?
0.04
Let o = -0.3 + 0. Suppose 9*b = 4*b + 25, -3*q + 2*b = 25. Let z = q + 7/2. What is the closest to 0 in o, 5/4, z?
o
Let u(v) = -10*v**2 - 349*v - 5. Let g be u(-35). Which is the nearest to 2.2? (a) -0.4 (b) -2 (c) 2 (d) g
c
Let q = -9148/3 - -3049. What is the closest to 3 in -3/5, q, -23, -1/11?
-1/11
Let x = 3614 - 3618. What is the nearest to 0 in -30/23, -1/4, 2, x?
-1/4
Let s = 18245.3 - 18245.3. Let n = 5/23 + 3/92. | {
"pile_set_name": "DM Mathematics"
} |
, -1, 1, 22
Suppose x**2/2 - 1170813*x/2 + 19317870 = 0. Calculate x.
33, 1170780
Let 34*c**5/7 - 1994*c**4/7 + 30754*c**3/7 - 94214*c**2/7 + 96220*c/7 - 4400 = 0. Calculate c.
11/17, 1, 2, 20, 35
Factor f**2/4 - 43820894*f + 1920270750959236.
(f - 87641788)**2/4
Find p such that 3*p**3/2 - 198*p**2 - 5756985*p/2 - 1414857981 = 0.
-757, 1646
Determine b so that 3*b**4/8 - 2595*b**3/2 + 1295511*b**2/4 + 1303299*b/2 + 2611791/8 = 0.
-1, 273, 3189
Factor -3*j**3/8 + 42129813*j**2/8 - 147910116349485*j/8 + 147910074219675/8.
-3*(j - 7021635)**2*(j - 1)/8
Factor -4277*z**3/5 + 42071*z**2/5 - 19987*z - 3495.
-(z - 5)**2*(4277*z + 699)/5
What is i in -4*i**4 - 756560*i**3 - 199523796*i**2 - 13361225528*i - 25930408288 = 0?
-188876, -131, -2
Find o, given that 27*o**5/2 + 118413*o**4 - 26540439*o**3/2 - 4541817*o**2 + 11778198*o + 5915412 = 0.
-8882, -2/3, 1, 111
What is c in -332*c**5 - 60816*c**4 + 664*c**3 + 121632*c**2 - 332*c - 60816 = 0?
-15204/83, -1, 1
Factor c**2 - 4691*c + 125928.
(c - 4664)*(c - 27)
Factor 3*z**2 - 50292*z - 11932596.
3*(z - 16998)*(z + 234)
Solve -2*n**3/3 - 2098*n**2/3 - 126040*n/3 - 1778744/3 = 0.
-986, -41, -22
Factor 3*b**3 - 5250945*b**2 + 2297694072981*b + 6893129477529.
3*(b - 875159)**2*(b + 3)
Determine m, given that 3*m**4 + 1029*m**3 + 71337*m**2 + 1020051*m - 1092420 = 0.
-255, -68, -21, 1
Suppose 4*a**5 + 392*a**4 - 3140*a**3 - 307720*a**2 + 3136*a + 307328 = 0. What is a?
-98, -28, -1, 1, 28
Suppose 3*b**5 + 3948*b**4 + 1302744*b**3 + 2475486*b**2 - 37671723*b - 38848410 = 0. What is b?
-657, -6, -1, 5
Let -3*c**5 - 585*c**4 + 22923*c**3 + 765921*c**2 - 788256*c = 0. What is c?
-224, -23, 0, 1, 51
Solve 2*h**3/11 + 182932*h**2/11 + 4191416754*h/11 + 384063562296/11 = 0 for h.
-45687, -92
Let -3105*h**4 - 2580250*h**3 + 20907015*h**2 + 52068240*h - 83900 = 0. What is h?
-839, -2, 1/621, 10
Find l, given that -500*l**5/21 - 1690*l**4/7 - 194*l**3/21 + 1710*l**2/7 + 694*l/21 - 20/7 = 0.
-10, -1, -1/5, 3/50, 1
What is q in q**5/3 + 261287*q**4/3 + 17068116016*q**3/3 + 51201996488*q**2/3 - 1045136*q/3 - 68269328656/3 = 0?
-130642, -2, 1
Factor 4*i**3 + 1424*i**2 + 127964*i + 1240624.
4*(i + 11)*(i + 133)*(i + 212)
Suppose k**3/2 - 6000*k**2 + 37787925*k/2 - 5295423875 = 0. Calculate k.
310, 5845
Factor -2*m**2 - 80098*m/11 - 240096/11.
-2*(m + 3)*(11*m + 40016)/11
Factor -2*y**2/17 - 151558*y/17 + 303124/17.
-2*(y - 2)*(y + 75781)/17
Suppose 2*w**2 + 37976*w + 493350 = 0. What is w?
-18975, -13
Determine c so that 5*c**2 - 380*c - 5421600 = 0.
-1004, 1080
Factor 14*i**2 - 507092*i + 1014128.
2*(i - 2)*(7*i - 253532)
Factor 21*k**2/5 + 86019*k/5 + 2944908.
3*(k + 179)*(7*k + 27420)/5
Suppose -3*m**5 + 170*m**4 + 120*m**3 - 3510*m**2 - 4597*m - 1140 = 0. What is m?
-4, -1, -1/3, 5, 57
Find d, given that 2*d**3/17 + 36418272*d**2/17 = 0.
-18209136, 0
Suppose -265081*w**4/2 - 2385731*w**3 - 14314410*w**2 - 28628964*w - 432 = 0. What is w?
-6, -4/265081
Factor f**3 + 40*f**2 - 319081*f - 15613360.
(f - 569)*(f + 49)*(f + 560)
Find s such that -4*s**2 + 82780*s + 31519224 = 0.
-374, 21069
Suppose 4*s**5 - 19100*s**4 - 267908*s**3 - 1321220*s**2 - 2604896*s - 1532480 = 0. What is s?
-5, -4, -1, 4789
Find k, given that 2*k**5/19 - 172*k**4/19 - 8900*k**3/19 - 24920*k**2/19 + 8898*k/19 + 25092/19 = 0.
-34, -3, -1, 1, 123
Determine t, given that -4*t**4/3 - 5180*t**3 - 210500*t**2 - 4167820*t/3 - 1183952 = 0.
-3844, -33, -7, -1
Suppose -g**4 + 10478*g**3 - 27841028*g**2 + 2056610626*g - 2028780075 = 0. What is g?
1, 75, 5201
Find d, given that -d**2/2 + 26196*d - 628416 = 0.
24, 52368
Suppose 2*k**2/3 + 21457862*k/3 + 42915716/3 = 0. What is k?
-10728929, -2
Factor -11*h**3 - 1487*h**2 - 43786*h - 7912.
-(h + 43)*(h + 92)*(11*h + 2)
Let -835*q**5 - 197065*q**4 - 10206550*q**3 - 198908010*q**2 - 1338988455*q - 8010765 = 0. Calculate q.
-173, -21, -1/167
Determine s, given that 4*s**2/5 + 104632*s/5 - 41856 = 0.
-26160, 2
Suppose 4*p**2 + 392190376*p + 392190372 = 0. Calculate p.
-98047593, -1
Factor -5*i**3 - 15670*i**2 - 31200*i + 375840.
-5*(i - 4)*(i + 6)*(i + 3132)
Factor -4*u**2 - 73914888*u.
-4*u*(u + 18478722)
Determine g so that -5*g**3 - 751705*g**2 + 15787910*g - 15036200 = 0.
-150362, 1, 20
Factor 3*a**3 + 7599474*a**2 + 15198936*a.
3*a*(a + 2)*(a + 2533156)
Solve 4*y**5/3 - 44*y**4/3 - 10984*y**3 + 231560*y**2/3 - 364108*y/3 + 55180 = 0.
-89, 1, 5, 93
Let 2*r**2/15 - 556996*r/5 + 1670986/15 = 0. What is r?
1, 835493
Solve -5*w**3/3 - 1165*w**2 + 6451910*w/3 = 0 for w.
-1538, 0, 839
Factor 2*j**2 + 3982*j + 690816.
2*(j + 192)*(j + 1799)
Factor 2*l**2 + 44630960*l - 44630962.
2*(l - 1)*(l + 22315481)
Factor 4*j**2 + 190676*j + 1715760.
4*(j + 9)*(j + 47660)
Factor 5*k**3 - 448625*k**2 - 8076785*k - 7628155.
5*(k - 89743)*(k + 1)*(k + 17)
Factor -2*o**3 + 23644*o**2 - 236272*o + 377984.
-2*(o - 11812)*(o - 8)*(o - 2)
Suppose 2*a**2 + 5358*a - 33451704 = 0. Calculate a.
-5643, 2964
Solve -3*v**3 + 167511*v**2 - 1172298*v - 7369560 = 0 for v.
-4, 11, 55830
Determine l so that 85*l**3 + 765015*l**2 - 630085*l - 135015 = 0.
-9001, -3/17, 1
Factor -22*a**2/5 - 2899902*a + 43498728/5.
-2*(a - 3)*(11*a + 7249788)/5
Suppose -5*i**2 - 5897755*i - 5897750 = 0. Calculate i.
-1179550, -1
Suppose i**3/7 + 376*i**2/7 + 30451*i/7 - 33132 = 0. What is i?
-251, -132, 7
Determine j so that 45*j**5 - 984*j**4 - 2697*j**3 + 8568*j**2 + 20628*j + 2592 = 0.
-3, -2, -2/15, 3, 24
Suppose 3*b**5 - 1800*b**4 + 49779*b**3 - 56694*b**2 - 881964*b - 1110024 = 0. Calculate b.
-2, 6, 27, 571
Factor 5*v**2 + 5210805*v + 5210800.
5*(v + 1)*(v + 1042160)
Factor -g**4/5 + 1053572*g**3 + 31607184*g**2/5 + 63214384*g/5 + 42142928/5.
-(g - 5267866)*(g + 2)**3/5
Factor -d**3/9 - 3005*d**2/9 - 667*d + 1001.
-(d - 1)*(d + 3)*(d + 3003)/9
Factor 2*a**4/9 + 3770*a**3/9 - 164169950*a**2/3 - 4707036885250*a/9 - 12325105813300000/9.
2*(a - 18800)*(a + 6895)**3/9
Suppose 35325*c**4 - 20220005*c**3/6 + 2686731*c**2/2 - 268153*c/2 - 95/6 = 0. What is c?
-1/8478, 1/5, 95
Factor -2*x**2/7 + 6744*x/7 - 2131414/7.
-2*(x - 3019)*(x - 353)/7
Find j, given that 10448281993729683*j**2 + 7081790280*j + 1200 = 0.
-20/59014919
Let 115*u**4 - 31620*u**3 + 2071440*u**2 + 17012800*u - 395136000 = 0. What is u?
-16, 252/23, 140
Find r, given that 5*r**2/3 + 32735*r/3 + 3838170 = 0.
-6174, -373
Find a such that a**2 - 18832088*a + 18832087 = 0.
1, 18832087
Find w, given that 2*w**4 - 47936*w**3 + 1197374*w**2 - 5362056*w - 28156968 = 0.
-3, 14, 23943
Suppose -62*t**4/9 - 17110*t**3/9 - 138758*t**2/3 + 1494*t = 0. Calculate t.
-249, -27, 0, 1/31
Factor -2*k**4 + 51616*k**3 - 340123772*k**2 + 91584075360*k - 6296529384450.
-2*(k - 12765)**2*(k - 139)**2
Find w such that -4*w**3 + 4186776*w**2 = 0.
0, 1046694
What is t in 5*t**5 - 14045*t**4 + 10395995*t**3 - 740099055*t**2 + 2765435400*t + 45499954500 = 0?
-6, 11, 74, 1365
Factor 2*t**3/3 - 18364*t**2/3 - 202186*t/3 - 183860.
2*(t - 9193)*(t + 5)*(t + 6)/3
Solve -2025*s**3/2 - 3262185*s**2/2 + 144989*s/2 - 1611/2 = 0.
-1611, 1/45
Solve -22*x**2 + 89741920*x - 16316712 = 0.
2/11, 4079178
Determine j so that -j**4 + 2441*j**3 + 111303*j**2 + 1408239*j + 3288978 = 0.
-21, -3, 2486
Let -4*o**4 + 5028*o**3 + 1650520*o**2 + 30967200*o = 0. What is o?
-253, -20, 0, 1530
Let l**5 - 446*l**4 + 23257*l**3 - 293500*l**2 + 519008*l - 248320 = 0. Calculate l.
1, 16, 40, 388
Suppose 2*u**5/13 + 2740*u**4/13 + 24506*u**3/13 + 10600*u**2/13 - 392608*u/13 - 871040/13 = 0. Calculate u.
-1361, -5, -4, 4
Let -5*z**2 - 1086996130*z - 59078029331748845 = 0. What is z?
-108699613
Factor 5*c**3 + 5355*c**2 + 100030*c + 94680.
5*(c + 1)*(c + 18)*(c + 1052)
Determine l, given that 5*l**3/4 - 4176820*l**2 = 0.
0, 3341456
Factor -5*n**2 - 57953220*n - 167928785418420.
-5*(n + 5795322)**2
Let -s**2/4 + 77360063*s/2 - 5984579347363969/4 = 0. What is s?
77360063
Suppose d**5/6 - 827*d**4/3 + 128243*d**3/2 - 759550*d**2/3 + 756250*d/3 = 0. What is d?
0, 2, 275, 1375
Find w, given that 5*w**2 - 843440*w + 42159500 = 0.
50, 168638
Factor 2*t**2 - 52926532*t + 350152223693378.
2*(t - 13231633)**2
Suppose d**5 + 115239*d**4 + 3319949159*d**3 - 3320179639*d**2 - 3319949160*d + 3320064400 = 0. What is d?
-57620, -1, 1
Let 5*j**2 + 59605*j + 23985840 = 0. Calculat | {
"pile_set_name": "DM Mathematics"
} |
ming m is positive.
m**(-3602/2145)
Simplify (k**(-1)/k**(2/13))/((k*(k/(k*k**(2/7)))/k)/(k**(6/11)/k))*(k**2*k**(-2/3))/(k**(1/5)/k**(4/5)) assuming k is positive.
k**(9169/15015)
Simplify (a**(-3/8)*a*a/(a/a**3))**(-25)*a**(4/5)/(a**5/a)*(a/a**(3/4))/((a/(a/a**(1/2)))/a) assuming a is positive.
a**(-3723/40)
Simplify (c**(-5/3)/c**(3/2)*((c/c**(-1))/c)**(-50))/((c**(-1/2))**39)**(6/19) assuming c is positive.
c**(-5359/114)
Simplify (i**(-4)/i**3*i*i**(2/15)/i*i*i/i**(-6))**36 assuming i is positive.
i**(204/5)
Simplify (p**(-2/15)/p**(-1/5))**(-11/3)*(p**(1/6)/(p**(2/33)/p))/(p**(-3)*p/(p/p**(-3/8))) assuming p is positive.
p**(16777/3960)
Simplify ((((j*j**(4/9)*j)/j*j*(j/j**(4/3))/j)/(j**(-1/4)*j**(-3/7)))**(-19))**(-14) assuming j is positive.
j**(8569/18)
Simplify (((b**(-1/3)*b)/b*b)/b**(-7)*(b/b**(4/7))/b**(1/2))/((b**(1/3))**(2/97)/(b*b**(-2/9)*b**(-3))) assuming b is positive.
b**(65585/12222)
Simplify (k**(-1/3)*k)**50/(k**0*k)**40*(k**5/(k*k**6))/(k**(2/9)*k**(-5/6)) assuming k is positive.
k**(-145/18)
Simplify (z*z*z*z**(5/4))/((z/(z**(-30)*z))/z)*(z**(-35))**(-19) assuming z is positive.
z**(2561/4)
Simplify ((m*(m*m/(m*m**(-11)))/m)**25/(m**(-9))**(-3/23))**45 assuming m is positive.
m**(309285/23)
Simplify (((w*w*w/(w*w**5))/((w/w**(-1))/w*w*w))/(w**(-3/4)*w*w**(1/7)))/((w*w/(w*w/w**(-1)*w)*w)**(2/9))**17 assuming w is positive.
w**(-659/252)
Simplify (((i**(-9/8)/i)/i)**2/((i**(5/8)*i)/(i**(9/7)*i)))**(-15/7) assuming i is positive.
i**(4695/392)
Simplify ((q*q**(-3/2)*q)/((q*q**5*q)/q))**(-20/7)*((q*q/(q*q/(q/q**6)*q))/(q*q/q**(-2/3)))/(q*q*q*q*q**1*q)**3 assuming q is positive.
q**(-230/21)
Simplify (v**2*v)/(v*v**1)*v*((v*v*v/v**(2/9))/v)/v*v*v**(2/5)*(v**(-4/5)*v*v/(((v/v**(-6))/v)/v))/(v/(v*v**(2/3)*v))**(-1/36) assuming v is positive.
v**(179/540)
Simplify ((h/(h**(2/9)*h))**12/(h**(-1/10)*h/(h/h**(2/7))))/(((h*h/h**5)/(h/h**(2/17)))/(h**3/((h/(h**(1/4)/h))/h))) assuming h is positive.
h**(23419/7140)
Simplify a*a*a*(a**(4/7)/a)/a*a*a*a**5*a**(-2)*a**(-1/3)*(a*a/a**(-2)*a**(-2/5))/((a/(a**(-2/15)/a))/(a*a*a/a**(-4)*a)) assuming a is positive.
a**(1649/105)
Simplify ((k**0)**(-7/9))**18/(k**(1/8)/k**(1/3)*(k*(k*(k**7*k)/k)/k)/k**(-1/7)) assuming k is positive.
k**(-1333/168)
Simplify ((n/n**(-2))/n*n)/(n*n/n**3*n*n*n)*((n/(n/((n**(-4/3)*n)/n*n)))/n)/(n**(1/4)*n)*(n*n/(n**0*n))**(-1)*(n**(-2/5)*n)**(1/6) assuming n is positive.
n**(-149/60)
Simplify ((t**(-1))**45)**(-2/33)*((t*t*t**(5/2)*t)/(t/t**1))/(t**0/t)**(13/3) assuming t is positive.
t**(829/66)
Simplify (b*(((b/((b*b**(-1/10))/b))/b)/b)/b*b**(-1)*b*(b**(-13)*b)/(b*b**(-12)*b))**(-13/3) assuming b is positive.
b**(377/30)
Simplify ((z**14/((z/z**(-14))/z))/(z**(1/4))**(-8/7))**(-36) assuming z is positive.
z**(-72/7)
Simplify (((f*f**(3/4))/f)/(f/(f**3/f)*f*f)*((f*f/(f*f*f**(-2)*f*f))/f)**40)/((f/f**(-1)*f**6)/(f**(2/13)*f**1*f)) assuming f is positive.
f**(-2397/52)
Simplify l**(-1/4)/l*l*(l*l**10)/l*l*(l*l**(-17))**(-50) assuming l is positive.
l**(3243/4)
Simplify (((h*h*h*h/(h/(h*(h*h**17)/h*h)))/h**(3/22))/(h**(-2/27))**14)**(7/11) assuming h is positive.
h**(95221/6534)
Simplify ((k/(k*k/k**(-2/23)))/k*k*k*(k/(k/(k*k/((k**(1/4)/k)/k)*k)*k))/k)/((k**(-5/3)*k)/k*k**(2/7))*((k/k**(-5))/k*k*k/k**6)**(1/27) assuming k is positive.
k**(70961/17388)
Simplify (b**(-8)/(b/(b/(b**(1/5)/b)))*b/b**(-2/13)*b**(-9))/(b**(-12)*b*b**8)**(-1/9) assuming b is positive.
b**(-2999/195)
Simplify (o*o*(o*o**0)/o)**(-18)/(o*o/(o*o**2))**(5/14)*(o**3/(o/(o/((o*o**(-3))/o))))/((o/(o*o**7))/o**8) assuming o is positive.
o**(-205/14)
Simplify ((s/(s*s/((s**13/s*s)/s)*s))/(s**8*s))**10*(s**(13/2)/s*s/s**(-2/7))**(-12) assuming s is positive.
s**(-500/7)
Simplify (i**6/(i**(-2/23)/i))**(2/9)*(i**(1/2)/i**(3/5))/(i**(1/5)/(i/(i**1*i*i))) assuming i is positive.
i**(-1501/2070)
Simplify (l/l**1)**(12/7)/(l/(l*((l/(l/(l*l*l/((l**(-1)*l)/l))))/l*l)/l))**(-2/15)*(l/l**(1/6)*l**5)**(7/6) assuming l is positive.
l**(1153/180)
Simplify ((h**(-1)*h)**(-49))**21/((h/((h**(-3/4)/h)/h)*h*h**(-5))/(h**(-1/2)/h)**(-44/5)) assuming h is positive.
h**(269/20)
Simplify (l**(-15)/(l*l*l**(-2/97)/l))/(l**(5/2)/l**(-2/15)) assuming l is positive.
l**(-54163/2910)
Simplify (c**(-2)*c)**(2/109)*c*(c*c**(-1/11)*c)/c*c*c**(2/5)*c**3/c**(2/15)*((c*c*c**(-5))/c)/(c/(c/(c/(c*c**(-1/2))))) assuming c is positive.
c**(59617/35970)
Simplify ((r**(-3))**(8/15)*(r/(r/r**(-6/7)*r*r))/(r*r/r**(2/29)))**(-27) assuming r is positive.
r**(175068/1015)
Simplify ((p/(p/(p*p/(p/(p/p**3*p*p)))))**(1/22)*(p**(2/23)/p*p)/p*(p/p**(-2/5))/p)**17 assuming p is positive.
p**(-20111/2530)
Simplify n**(1/17)/(n*n*(n**(3/22)/n)/n)*n**(2/37)*n/(n*n**(4/5))*n assuming n is positive.
n**(12213/69190)
Simplify ((n/n**(-1/12)*n**(1/2))/(n**(-2/9)*n/(n/(n*n**(3/4)/n*n*n))))/((n**(-1/4))**(-7)*n**(-6)*n*n*n*n**1) assuming n is positive.
n**(-25/36)
Simplify (p**(-4/7)/(p*p**(-6)/p))/((p*p**(-1/7)*p)/(p/(p*p**(-2))))*p**(1/2)/(p*p**3*p*p*p)*(p*p**(3/2))/p**5 assuming p is positive.
p**(-24/7)
Simplify (d**(-1/6)*(d*d/(d**0*d))/d*d**(4/7)/d**(4/7))/((d/d**2)**(-23))**(-1/4) assuming d is positive.
d**(67/12)
Simplify ((x*(x**(1/2)/x)/x)**42)**(-36)/((((x/(x*x**(-7)))/x)/x)/(x/x**2*x*x*x))**(-2/35) assuming x is positive.
x**(26466/35)
Simplify (n**(-2)/(n*n/n**4))/(n*(n*n*((n/(n**0*n*n))/n)/n*n)/n)**(-25)*((n**(2/3))**(-39))**(-1/2) assuming n is positive.
n**13
Simplify (o**(-1)/o**(-2))**(-29/5)/(o**(-1/3)/o**(-1/10))**36 assuming o is positive.
o**(13/5)
Simplify (k**(34/5)*k)/(k/(k/k**(-5/3)*k)*k*k)*(k*k/(k/((k**(-31)/k)/k)))/(k/(k**(1/4)/k)*k) assuming k is positive.
k**(-1577/60)
Simplify ((((l*l/(l**(-2/5)/l))/l)/l*l)**15*l*l**(2/11)*l*l**(-1/5)*l)/(((l**0*l)/l*l)**(-2/29)*(l**(-1)*l)/l**(-2/7)) assuming l is positive.
l**(432812/11165)
Simplify ((f**(2/7)/f)**(-14))**(-15/8)*f**3/((f*f**(-2/15)*f)/f)*f**(-3)/(f/(f/(f*f**(-2)*f))) assuming f is positive.
f**(-1177/60)
Simplify (((c*(c/((c/c**(1/4))/c))/c*c)/c)/((c*c**6*c)/c))**(28/9)*(c/(c/(c/c**4)*c)*(c**(-2)*c*c)/c)/(c**(-4)/c*(c**(-1/3)/c)/c) assuming c is positive.
c**(-140/9)
Simplify (z**(-1/4))**(-4/9)/(z**(1/5)*z**(-4/5))*(z*z/(z**(-2/11)*z)*z/((z/z**2*z)/z))**11 assuming z is positive.
z**(1607/45)
Simplify ((k**0*k)**(32/5)/(k*k*k*k/(k**0/k*k)*k)**(-5/8))/(k**(-6)*k**(-1/5)*(k**1)**(-1/35)) assuming k is positive.
k**(4411/280)
Simplify ((((t*t/t**(-9))/(t/(t*t*t**3/t*t*t*t)))**(-29))**(20/9))**(-2) assuming t is positive.
t**(19720/9)
Simplify (d*d**(11/4)*d*d*d**(2/7))**(2/75)*(d**(-1/2)/d)/d**1*(d/(d*d**(-2/5)*d*d)*d)/d*d**(-1)/d assuming d is positive.
d**(-3118/525)
Simplify ((n**(-1)/n*n/(n**(2/17)/n))/(n*(n**(-2)/n)/n*n*n**(-1)))/(n**(5/2)*n**(1/8))**(-8/7) assuming n is positive.
n**(100/17)
Simplify ((a/(a*a**(-36)/a)*a*a*(a*(a/(a**27/a))/a)/a)/((a*a**40)/a*a**(-44)))**(-18/5) assuming a is positive.
a**(-306/5)
Simplify ((q**(6/7)/q*((q/(q*q**(-3/2)*q))/q*q)/q)/(q**(-2)/q)**(-4/33))/((q*q**(-1/5)/q)/q**(-13))**(-5/11) assuming q is positive.
q**(741/154)
Simplify (((o**(12/11)/o)/o)/(o/((o/o**(12/5))/o)))/(o**44/o*o/(o/o**(-9))) assuming o is positive.
o**(-2107/55)
Simplify ((b/(b**(-1)/b)*b*(b/(b**9*b))/b)/((b/(b**(1/6)*b))/(b*b**(-3/5))))/((b**(2/7)/b**(-1/2))/(b**(2/11)/(((b**(-3/4)/b)/b)/b))) assuming b is positive.
b**(-10567/4620)
Simplify (c**(17/7)*c**(2/5)/c)/(c**(-24)*c**(-22)) assuming c is positive.
c**(1674/35)
Simplify ((h/(h/(h/((h**(-7)*h)/h)))*h*((h**(2/11)*h)/h)/h*(h*h**1)/(h**(-3)*h))**(22/9))**(5/8) assuming h is positive.
h**(335/18)
Simplify (c*(c/(((c**(2/5)*c)/c)/c))/c)**(-1/27)*(c*c/(c/(c**(-3)/c*c*c)*c)*c*c)/c**(2/7)*((c**(4/3)*c*c)/(c*c/c**(-6)*c))**(-2/55) assuming c is positive.
c**(-1444/10395)
Simplify ((f**(-1/4)/f)**(26/5)/(f**(-5/6)/f*f*f*f/(f/f**(-7))*f))/(f**(2/3)/f**(-8)*(f/f**8)/(f*f**(2/3))) assuming f is positive.
f**(-2/3)
Simplify (((c*c**(-36)/c)**(-42))**(-7))**(-13/7) assuming c is positive.
c**19656
Simplify ((n/(n/(n**(1/4)*n)*n))**(-12/19)*n*n**1*n**(-5)*n)/(n*n**(3/2)*n**(-6)*(n**(-1/2))**(-3/11)) assuming n is positive.
n**(252/209)
Simplify ((g**(1/5))**(-1/15)*g/g**(-2/7)*g**6)**(-47) assuming g is positive.
g**(-179446/525)
Simplify ((z*z*z**(2/3)*z*z)/((z*z**3*z*z)/z))/(z*z**(1/6)*z*z**(4/11))*((z/((z*z/z**1 | {
"pile_set_name": "DM Mathematics"
} |
x, q, w, 2 in increasing order.
q, w, x, 2
Let k = -64 + 101. Suppose 4*f - 3*f = 33. Suppose 10*r = -k - f. Sort 3, -4, r in ascending order.
r, -4, 3
Let p = 59691 + -59687. Let s = -30 + 9. Put s, p, -1/7 in descending order.
p, -1/7, s
Suppose 5 = -0*m - m. Let b = -48610 - -48610. Put m, b, -1 in ascending order.
m, -1, b
Suppose -3*r - 3*a = 6, 2*r = 7*r + 4*a + 14. Put r, -5, -18, 2 in increasing order.
-18, r, -5, 2
Let o = -151.09 + 0.09. Let s = o - -154. Sort 0.04, 5, s in ascending order.
0.04, s, 5
Suppose 3*r = -3, 0 = 3*u - 553*r + 556*r - 3. Put u, 4, 27 in increasing order.
u, 4, 27
Let d = -1 + 1. Suppose w + 3*a + 1 = d, 0*a = -4*w - 5*a + 10. Let k = 302 + -303. Sort w, k, 15 in ascending order.
k, w, 15
Let t = -11060 - -10178. Sort t, 2, -4.
t, -4, 2
Let o be ((-135)/(-153) - -4) + 2/17. Put 10, o, 16 in descending order.
16, 10, o
Let u be (32/5)/(836/55 + -15). Sort 67, u, 4 in descending order.
67, u, 4
Let y(z) = z + 1. Let j(x) = x**3 + 10*x**2 + 3*x - 12. Let s(n) = j(n) + 5*y(n). Let l be s(-9). Put -3, l, -5 in ascending order.
-5, -3, l
Let f be (-38)/30 + 40/24. Suppose -2*h + 0 + 6 = 0. Put f, 1/2, h, -25 in decreasing order.
h, 1/2, f, -25
Suppose -2*n + 4*u + 12 = 0, -11*n + 7*n = u - 6. Sort 222, -5, n in decreasing order.
222, n, -5
Let a be (-36)/5*1/((-12)/40). Let w be a/16 + 135/2. Suppose -7*n + w = -3*n + v, 5*n - 78 = -4*v. Sort -2, -4, n.
-4, -2, n
Suppose 3*z - 5*k = -z + 15, -5*k = 5*z - 30. Let b be ((-190)/(-380))/(2 - 51/12). Sort -2/7, b, z, -61 in decreasing order.
z, b, -2/7, -61
Let j = -1471 + 1474. Sort 1, 21, -10, j in decreasing order.
21, j, 1, -10
Let o(h) = -3315*h - 6634. Let t be o(-2). Suppose 2*x - 8 = 0, 4*w - w + 3*x = -3. Sort 4, -3, w, t in descending order.
4, -3, t, w
Let v = 1101 - 14311/13. Sort 1/6, v, -21/19.
-21/19, v, 1/6
Let c be 8/(-6) - (-12 + 10/((-9450)/(-10077))). Sort 0.2, -5, -4, c in descending order.
0.2, c, -4, -5
Suppose 3*h = -0 - 15. Let n(w) = -w**2 - 11*w - 1. Let a be n(-11). Let b(g) = -2*g**3 + g + 1. Let m be b(a). Sort h, 4, m, -1.
h, -1, m, 4
Let d = -2163 + 2108. Sort -7, 4, d in descending order.
4, -7, d
Let d(k) = k**3 - 5*k**2 - 8*k + 44. Let m be d(7). Let a = -84 + m. Sort a, -70, -3.
-70, -3, a
Let m = 85/8 + -1469/136. Let o = 61/153 + m. Let g be (-21)/55 - (160/88)/(-10). Sort g, 3, o, -2/3 in descending order.
3, o, g, -2/3
Let f(s) = s + 34. Let d(p) = p. Let y(t) = 2*d(t) - f(t). Let c be y(34). Sort 5, 1, 2, c in decreasing order.
5, 2, 1, c
Suppose -41 - 7 = 12*c. Let v = 1.096 + -0.096. Put c, -0.4, v in descending order.
v, -0.4, c
Let k = 37.82 - 43.62. Put k, -9, -3 in decreasing order.
-3, k, -9
Let t = -0.03 - -0.33. Let a = 1008 + -1014. Let y be 4 - ((-171)/(-33) - 1). Sort y, a, t in ascending order.
a, y, t
Suppose -40 = -282*c + 262*c. Sort 3, 222, c in increasing order.
c, 3, 222
Let j = -682 - -685. Sort -53, -4, 4, j in descending order.
4, j, -4, -53
Let t = 0.11 + -0.1. Let i = 2.99 + t. Let b = -129675 - -907722/7. Put -0.4, i, b in ascending order.
b, -0.4, i
Let p = 3299 + -3302. Let h = 7.9 + -7.96. Sort h, p, -4/3 in increasing order.
p, -4/3, h
Suppose 2*t - 1863 = 3*l - 1885, -5*t - 5*l = 5. Put -2, 2, t, 124 in increasing order.
t, -2, 2, 124
Let l = 0.0745 + -102.0745. Sort 0.1, -0.4, l, 2/3, -1/9 in ascending order.
l, -0.4, -1/9, 0.1, 2/3
Let k(a) = -a**2 - 65*a - 65. Let z be k(-1). Put z, 1/2, 3, -4 in decreasing order.
3, 1/2, z, -4
Let g be (-46690)/140 - 14/4. Let h = 342 + g. Put 46, h, -0.3 in decreasing order.
46, h, -0.3
Let p(w) = -2*w**2 + 13*w - 25. Let f be p(4). Let m(d) = d - 2. Let v be m(6). Let t be ((-4)/(-6))/(-2*4/(-24)). Put v, t, f, 0.07 in increasing order.
f, 0.07, t, v
Let w = -112 + 558/5. Let u be ((-54)/(-8))/((-18)/(-24)). Suppose -8*s = -u*s - 5*g - 20, -3*g - 12 = s. Sort w, -4, s, -0.1 in descending order.
s, -0.1, w, -4
Let n be -7 + (-27 - -26)*4/(-1). Put n, 4, 235 in increasing order.
n, 4, 235
Let h be (-6)/(12/26) + (-876)/(-73). Let j = 156 - 230. Sort 4, 0, h, j.
j, h, 0, 4
Suppose 0 = 4*n - 16 - 80. Suppose -23*q + n = -15*q. Let l = 6 - 11. Sort 1, -4, l, q in decreasing order.
q, 1, -4, l
Let k(g) = -149*g**2 - g. Let a be k(1). Let z be ((-432)/(-1344))/((-3)/(-4))*-3 + 1. Sort 2/11, z, a.
a, z, 2/11
Let d(a) = a**3 + 3*a**2 + 4*a - 3. Let j be d(3). Let q be (8/24)/(1/j). Suppose 0*c = -3*i - 2*c + 17, 0 = -5*i + 4*c + q. Put -4, -2, i in ascending order.
-4, -2, i
Let p = 1 + -1.2. Let l = -34 - 412. Let v = l - -5796/13. Sort -4/7, p, v, 2 in decreasing order.
2, v, p, -4/7
Let d = 42 - 17. Let z(k) = -k + 29. Let a be z(d). Let j = -3 - -8. Put -5, j, 0.3, a in descending order.
j, a, 0.3, -5
Let s be 3/42 - 697/(-238). Suppose s*c + 11 = 5*p, 3*p + 5*c - 37 = -44. Sort -0.5, p, -0.2 in decreasing order.
p, -0.2, -0.5
Let q(g) = 2*g + 9. Let s be q(-6). Suppose 0 = 9*n - 14*n + 365. Suppose 2*i + 81 = n. Put 4, s, i in ascending order.
i, s, 4
Let l be (-37)/(-95) + (-244)/(-1159). Sort l, 5, 16, 4.
l, 4, 5, 16
Let z = -2 + 4. Let y(c) = 33*c - 183. Let f(i) = -16*i + 92. Let t(n) = -9*f(n) - 5*y(n). Let x be t(4). Sort x, -0.06, z.
-0.06, z, x
Let y = -340/2513 - 54/359. Suppose -4*j + 7*l = 9*l - 18, 5*l + 15 = 2*j. Sort y, j, 0.2.
y, 0.2, j
Let v = -3274.2 - -3581. Let n = v - 307. Sort 0, 2/11, 4/7, n in descending order.
4/7, 2/11, 0, n
Let j = 65.98 - 66. Let n = j - -33.02. Let a = 41 - n. Sort 3, -1/4, a in increasing order.
-1/4, 3, a
Suppose 2*w + 9 = -3*y, 3*w = 4*y - 2*y - 7. Let t be 3 + 3 + (0 - 3) + 3. Suppose 0 = -t*c + 16*c + 140. Sort -5, c, w in decreasing order.
w, -5, c
Let z be (-6)/3*2/(-50). Let f = 0.090653 - -0.069347. Sort 0, f, z in decreasing order.
f, z, 0
Let z(v) = -36*v + 2. Let s be z(1). Let t = 29 + s. Let u be 2/((-30)/35) - -3. Put t, -20, u in decreasing order.
u, t, -20
Let b be (-148)/(-259) + (-6)/(-14). Let h = -89/2 - -43. Sort 0, -2/7, h, b in increasing order.
h, -2/7, 0, b
Let x = -2479 + 42145/17. Sort x, -0.057, -2/45.
-0.057, -2/45, x
Suppose -5*a = 3*x + 4, 12*a - 15*a + 3*x - 36 = 0. Let p be (-74)/10 + 2/5. Put p, -2, 2, a in increasing order.
p, a, -2, 2
Suppose k + 7682 = 4*s + 7697, 0 = -2*s - 2*k + 10. Put 2, s, 11, -5, 4 in decreasing order.
11, 4, 2, s, -5
Suppose 47*g - 1302 = 5*g. Suppose 46*y - g*y = 30. Sort y, 4, 5 in decreasing order.
5, 4, y
Suppose 347 = 25*r + 397. Suppose 0 = -2*u - 10, d + 4*u + 9 = -16. Sort -3, 5, r, d.
d, -3, r, 5
Let a = 75 + -72. Suppose 182*m = 136*m + 92. Sort m, a, -6 in ascending order.
-6, m, a
Let m = 14.843 - 14.781. Put m, 49, 0 in decreasing order.
49, m, 0
Suppose -7*k = 15*k - 132. Suppose k = 5*h + 5*l + 1, -5*h + 5 = l. Sort 4, h, 5, -10.
-10, h, 4, 5
Suppose -28536 = 8*u - 29088. Put 0, 0.136, -0.1, u in increasing order.
-0.1, 0, 0.136, u
Let h = -0.028 - -0.258. Let u = h + -0.29. Sort -0.08, -3/5, 4, u.
-3/5, -0.08, u, 4
Let t = -34/181 + 363/2896. Sort 0.3, -1, 5, t in ascending order.
-1, t, 0.3, 5
Let q = -31 + 35. Suppose n - 4*n = -78. Suppose -n*b + 6 = -20*b. Put q, -4, 0, b in descending order.
q, b, 0, -4
Let o(y) = y**3 - 10*y**2 + 10*y + 72. Let r be o(7). Sort r, 8, 4, 6, -2 in ascending order.
r, -2, 4, 6, 8
Let u = -7 + 9. Suppose -177 = u*g - 67. Let q = g + 53. Put 3, q, 19 in ascending order.
q, 3, 19
Let r = -0.10582 - -0.50582. Sort 3, -3, r, -41, -2/13 in ascending order.
-41, -3, -2/13, r, 3
Let b = 5634 + -5627. Put 2, 68, -4, b in descending order.
68, b, 2, -4
Let h = -39 + 37. Suppose 0 = -25*w + 20*w - 25. Sort w, 0, h, -4 in descending order.
0, h, -4, w
Let x = -124 - -100. Let u be 1 + (-39)/(-12) + 6/x. Put u, 2, 0, -14 in decreasing order.
u, 2, 0, -14
Let t = 46.58 - 47. Let m = -0.12 - t. Let q = 3.813 - 1.813. Sort q, 27/4, m in increasing order.
m, q, 27/4
Suppose 0 = p + 2*p + 2*n + 20, -4*p = -5*n - 4. Let y(w) = w**2 + 5*w - 71. Let j be y(-11). Put p, -3, j, 59 in decreasing order.
59, -3, p, j
Let y(d) = -d**2 + 57*d - 164. Let t be y(54). Let r = -4 - -9. Sort r, -135, t, 3 in descending order.
r, 3, t, -135
Let z = -103 + 47. Let v = 61 + z. Suppose v*x = 4*x - 5. Put 4, x, -2, -3 in descending order.
4, -2, -3, x
Let a = 663 + -657. Let h(b) = b - 6. Let j be h(9). Put a, -2, j in descending order.
a, | {
"pile_set_name": "DM Mathematics"
} |
True
Does 24 divide 14449?
False
Does 75 divide 4280?
False
Is 9 a factor of 25501?
False
Does 16 divide 73333?
False
Is 2172 a multiple of 12?
True
Is 78778 a multiple of 11?
False
Is 324 a multiple of 18?
True
Is 5 a factor of 1942?
False
Is 366 a multiple of 122?
True
Is 32570 a multiple of 113?
False
Does 15 divide 1525?
False
Is 60 a factor of 7800?
True
Does 10 divide 68970?
True
Does 31 divide 3813?
True
Does 17 divide 9387?
False
Is 2039 a multiple of 55?
False
Is 11692 a multiple of 86?
False
Is 13 a factor of 5870?
False
Is 10017 a multiple of 21?
True
Is 21 a factor of 315?
True
Is 59 even?
False
Does 18 divide 4190?
False
Is 2035 a multiple of 2?
False
Is 1748 a multiple of 76?
True
Is 12 a factor of 2051?
False
Is 101039 a multiple of 11?
False
Does 5 divide 3595?
True
Is 5 a factor of 183?
False
Is 882 a multiple of 7?
True
Is 65 a factor of 1499?
False
Is 143 a factor of 4004?
True
Is 15 a factor of 270?
True
Does 155 divide 4185?
True
Does 7 divide 21104?
False
Is 17 a factor of 170?
True
Is 107772 a multiple of 14?
True
Is 37 a factor of 1086?
False
Does 9 divide 153?
True
Is 977 a multiple of 6?
False
Is 73 a factor of 6278?
True
Does 23 divide 552?
True
Does 14 divide 598?
False
Is 65796 a multiple of 12?
True
Does 4 divide 3327?
False
Is 11 a factor of 6336?
True
Is 396 a multiple of 28?
False
Does 17 divide 1207?
True
Does 8 divide 144?
True
Is 3141 a multiple of 6?
False
Is 12120 a multiple of 8?
True
Does 25 divide 4900?
True
Is 19 a factor of 42029?
False
Is 37 a factor of 31931?
True
Is 35 a factor of 6658?
False
Is 6 a factor of 5990?
False
Is 41 a factor of 35301?
True
Does 14 divide 12754?
True
Is 24 a factor of 352?
False
Is 153131 a multiple of 17?
False
Does 14 divide 714?
True
Does 188 divide 3458?
False
Is 10464 a multiple of 12?
True
Is 149 a multiple of 31?
False
Does 23 divide 4232?
True
Is 19 a factor of 779?
True
Is 32 a factor of 7162?
False
Is 1904 a multiple of 34?
True
Is 555 a multiple of 15?
True
Is 4 a factor of 912?
True
Is 120 a factor of 3518?
False
Does 130 divide 95602?
False
Is 104 a multiple of 4?
True
Is 10 a factor of 20040?
True
Is 280 a multiple of 3?
False
Does 23 divide 51785?
False
Is 21 a factor of 14714?
False
Does 31 divide 2971?
False
Does 5 divide 8563?
False
Is 1308 a multiple of 4?
True
Is 243 a multiple of 81?
True
Does 17 divide 765?
True
Does 32 divide 57803?
False
Does 10 divide 97591?
False
Is 118 a factor of 354?
True
Does 38 divide 3291?
False
Is 308 a multiple of 7?
True
Is 115 a factor of 520?
False
Is 65280 a multiple of 16?
True
Does 36 divide 396?
True
Does 172 divide 8084?
True
Is 158 a factor of 36559?
False
Is 5289 a multiple of 2?
False
Is 198 a multiple of 12?
False
Does 19 divide 63?
False
Does 12 divide 26244?
True
Is 640 a multiple of 64?
True
Is 194 a multiple of 5?
False
Does 15 divide 7650?
True
Is 16 a factor of 208?
True
Does 15 divide 4144?
False
Is 1139 a multiple of 77?
False
Is 6 a factor of 54?
True
Is 1992 a multiple of 6?
True
Is 15075 a multiple of 15?
True
Is 381 a multiple of 9?
False
Is 10 a factor of 3776?
False
Is 485 a multiple of 97?
True
Is 66 a factor of 602?
False
Is 38799 a multiple of 66?
False
Is 2635 a multiple of 158?
False
Does 107 divide 7169?
True
Is 30 a factor of 53084?
False
Does 14 divide 2686?
False
Is 18 a factor of 452?
False
Does 13 divide 1135?
False
Is 23800 a multiple of 34?
True
Is 35 a factor of 11784?
False
Is 17696 a multiple of 316?
True
Is 653 a multiple of 156?
False
Is 361 a multiple of 16?
False
Is 29133 a multiple of 56?
False
Is 104 a factor of 43186?
False
Does 22 divide 2979?
False
Is 12 a factor of 60567?
False
Does 8 divide 243?
False
Does 15 divide 315?
True
Does 8 divide 13104?
True
Is 1403 a multiple of 16?
False
Is 7661 a multiple of 2?
False
Is 141 a multiple of 22?
False
Is 12 a factor of 648?
True
Does 11 divide 117612?
True
Is 41160 a multiple of 280?
True
Does 42 divide 462?
True
Is 969 a multiple of 19?
True
Is 28 a factor of 2337?
False
Is 66223 a multiple of 349?
False
Is 51 a factor of 306?
True
Does 40 divide 193?
False
Does 10 divide 26910?
True
Does 15 divide 1990?
False
Does 7 divide 7?
True
Is 30 a factor of 330?
True
Does 7 divide 11822?
False
Is 21 a factor of 294?
True
Is 48723 a multiple of 53?
False
Is 9 a factor of 163?
False
Is 3231 a multiple of 9?
True
Is 15 a factor of 4395?
True
Is 19584 a multiple of 50?
False
Is 2755 a multiple of 22?
False
Is 157 a factor of 3284?
False
Is 581 a multiple of 83?
True
Is 25 a factor of 36650?
True
Is 252 a multiple of 12?
True
Is 740 a multiple of 4?
True
Is 68292 a multiple of 84?
True
Is 958 a multiple of 22?
False
Is 468 a multiple of 39?
True
Is 24799 a multiple of 9?
False
Is 15041 a multiple of 11?
False
Does 62 divide 19344?
True
Is 364 a multiple of 13?
True
Is 7072 a multiple of 17?
True
Is 7 a factor of 308?
True
Is 5 a factor of 544?
False
Is 6 a factor of 642?
True
Is 7 a factor of 11704?
True
Does 9 divide 618?
False
Is 13 a factor of 6032?
True
Is 87630 a multiple of 41?
False
Is 96 a factor of 13509?
False
Does 24 divide 626?
False
Is 5940 a multiple of 9?
True
Is 47 a factor of 658?
True
Is 11 a factor of 1925?
True
Is 4 a factor of 124?
True
Is 321 a factor of 36602?
False
Is 53 a factor of 622?
False
Is 8835 a multiple of 31?
True
Does 136 divide 17952?
True
Is 1078 a multiple of 72?
False
Is 912 a multiple of 24?
True
Does 13 divide 2704?
True
Does 75 divide 5775?
True
Is 16 a factor of 1584?
True
Does 40 divide 3039?
False
Does 4 divide 56?
True
Is 23 a factor of 483?
True
Does 8 divide 12480?
True
Is 7 a factor of 147?
True
Is 90059 a multiple of 13?
False
Does 32 divide 8768?
True
Does 65 divide 6045?
True
Is 1651 a multiple of 127?
True
Is 1194 a multiple of 22?
False
Is 63 a factor of 504?
True
Does 46 divide 11720?
False
Does 138 divide 23913?
False
Does 10 divide 17103?
False
Does 173 divide 30890?
False
Is 170 a factor of 1360?
True
Does 36 divide 324?
True
Is 35378 a multiple of 266?
True
Is 9680 a multiple of 121?
True
Is 939 a multiple of 5?
False
Is 676 a multiple of 52?
True
Is 72 a multiple of 8?
True
Does 24 divide 3655?
False
Is 58 a factor of 2512?
False
Is 1215 a multiple of 45?
True
Is 11211 a multiple of 70?
False
Is 19652 a multiple of 289?
True
Is 20436 a multiple of 156?
True
Is 196 a multiple of 14?
True
Is 69 a factor of 2967?
True
Is 3 a factor of 42?
True
Is 258 a factor of 25680?
False
Does 16 divide 605?
False
Is 4970 a multiple of 35?
True
Is 81 a factor of 5913?
True
Does 12 divide 372?
True
Is 956 a multiple of 28?
False
Is 45 a factor of 5625?
True
Does 10 divide 1611?
False
Does 9 divide 153?
True
Is 1840 a multiple of 92?
True
Is 32 a multiple of 16?
True
Is 66 a factor of 10784?
False
Does 6 divide 271?
False
Does 11 divide 23914?
True
Is 183 a factor of 31842?
True
Is 280 a multiple of 25?
False
Is 50554 a multiple of 157?
True
Is 2720 a multiple of 25?
False
Is 166 a factor of 83000?
True
Does 29 divide 232?
True
Does 25 divide 2225?
True
Is 54 a factor of 13284?
True
Is 43 a factor of 970?
False
Is 1200 a multiple of 16?
True
Does 24 divide 22464?
True
Is 34 a factor of 1088?
True
Is 624 a multiple of 6?
True
Is 10689 a multiple of 55?
False
Is 810 a multiple of 30?
True
Is 4 a multiple of 4?
True
Is 12427 a multiple of 156?
False
Is 1136 a multiple of 120?
False
Is 5319 a multiple of 27?
True
Does 202 divide 60615?
False
Is 107 a multiple of 18?
False
Is 15 a factor of 1320?
True
Is 69 a factor of 5313?
True
Does 14 divide 21294?
True
Is 29 a factor of 2681?
False
Is 38 a factor of 3664?
False
Is 26 a factor of 16480?
False
Is 12816 a multiple of 18?
True
Is 2 a factor of 211?
False
Does 9 divide 58227?
False
Does 12 divide 35532?
True
Is 2110 a multiple of 134?
False
Is 46 a factor of 4646?
True
Is 10517 a multiple of 8?
False
Does 18 divide 2008?
False
Is 19 a factor of 9218?
False
Does 4 divide 2920?
True
Is 17 a factor of 1032?
False
Does 6 divide 6096?
True
Does 145 divide 435?
True
Is 7404 a multiple of 12?
True
Is 60684 a multiple of 51?
False
Is 175 a multiple of 3?
False
Is 30 a factor of 110?
False
Does 23 divide 9709?
False
Does 141 divide 7755?
True
Does 7 divide 162?
False
Does 3 divide 22?
False
Does 183 divide 13888?
False
Does 6 divide 240?
True
Does 3 divide 1 | {
"pile_set_name": "DM Mathematics"
} |
ecreasing order.
10.5, 1/4, -0.2, -2
Sort 3, 15, -2/5, 1, -5/12.
-5/12, -2/5, 1, 3, 15
Sort 4, -1, -65, -3 in decreasing order.
4, -1, -3, -65
Sort 4, 55, -4 in decreasing order.
55, 4, -4
Sort 4, -2, 1, 5.
-2, 1, 4, 5
Sort 3, 0, 1472.
0, 3, 1472
Sort -3, -5/2, 0.08 in descending order.
0.08, -5/2, -3
Sort -73, -3, 3 in descending order.
3, -3, -73
Sort 9, -0.1, 0.42, 2/7 in decreasing order.
9, 0.42, 2/7, -0.1
Sort -1, -56, -5, 1 in descending order.
1, -1, -5, -56
Put 4, -5, -118 in decreasing order.
4, -5, -118
Sort 2, 106, 1, -2, 4 in descending order.
106, 4, 2, 1, -2
Sort -0.2, 4187, -0.4 in descending order.
4187, -0.2, -0.4
Sort 0.2, -0.3, -29038.
-29038, -0.3, 0.2
Put 1, -8, 12 in ascending order.
-8, 1, 12
Sort 662, -2/9, 2/17.
-2/9, 2/17, 662
Sort -2, 2, -4, 39 in ascending order.
-4, -2, 2, 39
Put 183, -3, -4 in decreasing order.
183, -3, -4
Put 0.04, 0.1, -3, 0.2, 58 in decreasing order.
58, 0.2, 0.1, 0.04, -3
Sort -2649, -1, 1 in increasing order.
-2649, -1, 1
Sort 0.03, 6, -3, 0.3.
-3, 0.03, 0.3, 6
Sort -4, -36, -0.074.
-36, -4, -0.074
Sort -2, -4, 21, 2 in decreasing order.
21, 2, -2, -4
Put -1, 2, 0 in ascending order.
-1, 0, 2
Put 1/5, 0, 40, 0.1 in descending order.
40, 1/5, 0.1, 0
Sort -5, 2, 0, 9 in ascending order.
-5, 0, 2, 9
Put -9, -7, 3, -6 in descending order.
3, -6, -7, -9
Put 1, 0, -19, -0.1 in descending order.
1, 0, -0.1, -19
Sort -10, 3, 6 in descending order.
6, 3, -10
Put 3, 18, 2, 0 in increasing order.
0, 2, 3, 18
Put -15, -11, -2/9, 1, -2 in increasing order.
-15, -11, -2, -2/9, 1
Put 4, 7, 3 in decreasing order.
7, 4, 3
Sort 112, 4, 5, -5.
-5, 4, 5, 112
Sort -34, -5, -2, 5 in decreasing order.
5, -2, -5, -34
Put -2/3, 0.5, -5, -325, 0 in decreasing order.
0.5, 0, -2/3, -5, -325
Sort 14, -3, 18 in decreasing order.
18, 14, -3
Put -12.6, -4, 2/5 in ascending order.
-12.6, -4, 2/5
Sort 3, -19, -0.23, -0.3 in increasing order.
-19, -0.3, -0.23, 3
Sort -2, -3, 0.7 in decreasing order.
0.7, -2, -3
Put -0.3, 0.3, -1/11, -0.0533 in decreasing order.
0.3, -0.0533, -1/11, -0.3
Put 3, 5, -3, 13, -1 in increasing order.
-3, -1, 3, 5, 13
Sort 9, -8, -1, -5 in ascending order.
-8, -5, -1, 9
Sort 12, 5, 0 in increasing order.
0, 5, 12
Put 22, 5, 2, -0.3 in decreasing order.
22, 5, 2, -0.3
Sort 15, -33, -5 in ascending order.
-33, -5, 15
Put 42, -6, -0.1, -4 in descending order.
42, -0.1, -4, -6
Sort 0, -7, -1, -5 in ascending order.
-7, -5, -1, 0
Sort 3, -67, -0.5, 4.
-67, -0.5, 3, 4
Put -3, -4, 8, 2 in ascending order.
-4, -3, 2, 8
Sort -57, -10, 3, 4, -3 in ascending order.
-57, -10, -3, 3, 4
Sort 2/7, 1, -56 in descending order.
1, 2/7, -56
Put -3, -2, 33, 2 in ascending order.
-3, -2, 2, 33
Put 1, -5, 0, 1172 in increasing order.
-5, 0, 1, 1172
Sort -1, 17, 5.
-1, 5, 17
Put 4, -2, 29, 5, 35 in descending order.
35, 29, 5, 4, -2
Sort 1/5, -3, 36 in increasing order.
-3, 1/5, 36
Put -1, 1.1, 3/7 in decreasing order.
1.1, 3/7, -1
Sort 2, 56, 5, -4.
-4, 2, 5, 56
Sort 2.6, 4, -1/2, -3, 2/9 in ascending order.
-3, -1/2, 2/9, 2.6, 4
Sort -13, 2, -5 in descending order.
2, -5, -13
Sort -2/7, 3/5, 14/5, 0.5 in ascending order.
-2/7, 0.5, 3/5, 14/5
Put -3, -195, -4, 1, 3 in increasing order.
-195, -4, -3, 1, 3
Sort 2/9, -112, -2/13, 3/7 in descending order.
3/7, 2/9, -2/13, -112
Put -10, -2, 0, -4, 1 in descending order.
1, 0, -2, -4, -10
Put -5, -1216, -0.5 in descending order.
-0.5, -5, -1216
Sort 28, 2/5, 70.
2/5, 28, 70
Put 1, 3, 7, -71 in increasing order.
-71, 1, 3, 7
Sort -220, 2, -1, -5, -4 in ascending order.
-220, -5, -4, -1, 2
Put 2, 1/4, -1.6, 6 in decreasing order.
6, 2, 1/4, -1.6
Put 5, 6, -6 in increasing order.
-6, 5, 6
Sort -5, -0.5, -5/3, 2, 0.1 in decreasing order.
2, 0.1, -0.5, -5/3, -5
Sort -4/7, -5, 14, 0.5 in descending order.
14, 0.5, -4/7, -5
Put -0.02, 0.5, 3/7, 0.2, 7 in decreasing order.
7, 0.5, 3/7, 0.2, -0.02
Sort -5, -1, 0.27 in decreasing order.
0.27, -1, -5
Sort 2, -42, 0.4, 1 in descending order.
2, 1, 0.4, -42
Sort 3, 8, 36, -3 in decreasing order.
36, 8, 3, -3
Sort -9, -4, 2, 3.
-9, -4, 2, 3
Put 0.4, 0, -15, -0.3 in increasing order.
-15, -0.3, 0, 0.4
Sort -1, -192, 2, -5, -2.
-192, -5, -2, -1, 2
Sort -13, -1, 0, 2, 13 in decreasing order.
13, 2, 0, -1, -13
Put -0.02, -2/11, -1/4, -1.5, -4 in decreasing order.
-0.02, -2/11, -1/4, -1.5, -4
Sort -3, 0, 2.
-3, 0, 2
Put 40, -3, 16, 1 in decreasing order.
40, 16, 1, -3
Put -1, -338, 6, 3 in descending order.
6, 3, -1, -338
Sort -49, 5, -3 in descending order.
5, -3, -49
Sort -1/6, -4/5, 2/11, -1/2, -12 in decreasing order.
2/11, -1/6, -1/2, -4/5, -12
Sort 2, -19, 0, 4 in descending order.
4, 2, 0, -19
Put 0, 5, 2, 11, -5 in ascending order.
-5, 0, 2, 5, 11
Put 3, -3/4, -3/8, 4/5 in increasing order.
-3/4, -3/8, 4/5, 3
Put -3, -1.42, 0.4, -0.3, 1 in decreasing order.
1, 0.4, -0.3, -1.42, -3
Sort -0.016, 9, -2 in ascending order.
-2, -0.016, 9
Sort 2, 0.4, -0.43 in descending order.
2, 0.4, -0.43
Put 2/15, 54, -4 in ascending order.
-4, 2/15, 54
Sort -7, 1, -5, -3, 12 in ascending order.
-7, -5, -3, 1, 12
Sort 1, 25, 1/3.
1/3, 1, 25
Put -6, 5, -16, -1, 0 in decreasing order.
5, 0, -1, -6, -16
Sort -9, -2, 16, 4, 0.
-9, -2, 0, 4, 16
Sort -0.006, -2, -0.1, -1 in ascending order.
-2, -1, -0.1, -0.006
Sort 2, 1/46, 0 in descending order.
2, 1/46, 0
Put 0, -3, 12 in increasing order.
-3, 0, 12
Put -5, -15, 2 in ascending order.
-15, -5, 2
Put -0.2, -3/26, -2.8 in decreasing order.
-3/26, -0.2, -2.8
Sort 2, 15, -4, -5.
-5, -4, 2, 15
Sort 5, 0.4, 1, 21.
0.4, 1, 5, 21
Put 2, 4/3, 0, -5, -0.18 in descending order.
2, 4/3, 0, -0.18, -5
Put -4, 0, 2, -2 in increasing order.
-4, -2, 0, 2
Put -1, -102, 0, -4 in ascending order.
-102, -4, -1, 0
Sort 1, 4, -15, 5, 0.2.
-15, 0.2, 1, 4, 5
Sort 1/3, 0.07, 38 in decreasing order.
38, 1/3, 0.07
Put 5, 4, 7, -71 in ascending order.
-71, 4, 5, 7
Put 4, -4, 1/5, 11/2, 0.1 in decreasing order.
11/2, 4, 1/5, 0.1, -4
Put -1, -5, -3, 0 in ascending order.
-5, -3, -1, 0
Put 5, 15/4, -49, -1/4 in descending order.
5, 15/4, -1/4, -49
Sort -1, -3, 0 in increasing order.
-3, -1, 0
Put -0.1, -0.3, -0.2, 1028 in descending order.
1028, -0.1, -0.2, -0.3
Put -15, 4, 0, 2 in descending order.
4, 2, 0, -15
Put 0.083, -3/4, -5 in increasing order.
-5, -3/4, 0.083
Sort 2, -5, -3091 in descending order.
2, -5, -3091
Sort -3, -2, -7, -4 in ascending order.
-7, -4, -3, -2
Put -0.2, 0.6, -1, -0.4 in descending order.
0.6, -0.2, -0.4, -1
Sort -4, 149, 1, -2 in decreasing order.
149, 1, -2, -4
Sort 1/3, 49, 0.2, -7 in ascending order.
-7, 0.2, 1/3, 49
Put 3, -4, 4, -22 in decreasing order.
4, 3, -4, -22
Sort 3, 7, 1, 2, 10 in decreasing order.
10, 7, 3, 2, 1
Sort -37, 123, 0.
-37, 0, 123
Put -3, -1, 5, 81 in ascending order.
-3, -1, 5, 81
Put -1/10, 0, -2/5 in descending order.
0, -1/10, -2/5
Put -4, -18, -5 in increasing order.
-18, -5, -4
Put 153, -1, 7 in ascending order.
-1, 7, 153
Sort 15, -2, -4.
-4, -2, 15
Sort 1, -1, -5, -3 in decreasing order.
1, -1, -3, -5
Sort -0.1, 32, 2/7 in increasing order.
-0.1, 2/7, 32
Sort 5, -0.19, -0.02, -5 in decreasing order.
5, -0.02, -0.19, -5
Put 29.1, 0.3, 5, 3, 0 in ascending order.
0, 0.3, 3, 5, 29.1
Put -41, -33, 0 in increasing order.
-41, -33, 0
Sort -2/15, -0.2, -3/5, -4 in decreasing order.
-2/15, -0.2, -3/5, -4
Sort -5, 7/6, -3.
-5, -3, 7/6
Put -4, 0.5, 705 in ascending order.
-4, 0.5, 705
Sort 1, -8, -478, 2 in ascending order.
-478, -8, 1, 2
Sort -2, 2, -3, -4, -57 in decreasing order.
2, -2, -3, -4, -57
Sort -4, 5, -1, 7, 0 in ascending order.
-4, -1, 0, 5, 7
Put -2/87, -7, -0.1 in descending order.
-2/87, -0.1, -7
Sort 5, 1/5, 4, 19 in decreasing order.
19, 5, 4, 1/5
Sort -2, 3/5, 6/41.
-2, 6/41, 3/5
Put -3/5, 11, -2/489 in decreasing order.
11, -2/489, -3/5
Sort -2, -17, 2, -0.5, -4 in descending order.
2, -0.5, -2, -4, -17
Sort -0.2, 4, -1/11, -0.4 in ascending order.
-0.4, -0.2, -1/11, 4
Put -4, 0, -41, -7 in increasing order.
-41, -7, -4, 0
Sort 0, 5, -2, 2, 21 in increasing order.
-2, 0, 2, 5, 21
Sort 0, -29, -3/220.
-29, -3/220, 0
Put 4, -7, -25, 2 in decreasing order.
4, 2, -7, -25
Sort -6, -5, -40 in increasing order.
-40, -6, -5
Put -3, 9, 2 in decreasing order.
9, 2, -3
Sort -1/27, -0.04, 0.4, 6 in descending order.
6, 0.4, -1/27, -0.04
Put -5, 24, -15, 2 in decreasing order | {
"pile_set_name": "DM Mathematics"
} |
+ q + 1. Give g(d) - 3*x(d).
4*d**3 - 3*d**2
Let j(n) = -2*n + 3 - 2*n + 3*n. Suppose 0*u = -2*o - u + 40, -2*o + 2*u + 52 = 0. Let w(r) = o - r + 2*r - 6*r - 6. Determine -11*j(z) + 2*w(z).
z - 1
Let k(v) = 3*v - 9. Let o(u) = u - 4. Let g = 65 - 60. Calculate g*o(c) - 2*k(c).
-c - 2
Let y be (3 - 8)*9/15. Let q(v) = -2*v - 1. Let j(f) = f + 1. Give y*j(g) - q(g).
-g - 2
Let z(f) = 5*f - 61. Let p be z(11). Let c(h) = 7*h**3 + 9*h**2 + 13*h + 9. Let t(s) = 3*s**3 + 4*s**2 + 6*s + 4. Calculate p*c(n) + 13*t(n).
-3*n**3 - 2*n**2 - 2
Suppose -1 = -c + 7. Let l(x) = -x**3 + 8*x**2 + 2*x - 11. Let b be l(c). Let n(v) = -v**2 + 6*v. Let g(j) = -j**2 + 5*j. What is b*n(a) - 6*g(a)?
a**2
Let u(g) = 3*g**3 + 2*g**2 + 2*g. Let p(w) = -3*w**3 - w**2 - 2*w. What is 4*p(m) + 3*u(m)?
-3*m**3 + 2*m**2 - 2*m
Let q(t) = -2*t. Let u = 1 - 2. Let o = -1 - u. Let p be (-10)/2 + (1 - o). Let f(w) = -3*w - 1. Determine p*q(a) + 2*f(a).
2*a - 2
Let w(h) be the second derivative of h**5/4 - h**4/6 - h**3/3 + h**2 + h. Let p(r) = -11*r**3 + 5*r**2 + 5*r - 5. Calculate -2*p(b) - 5*w(b).
-3*b**3
Let j(p) = p**3 + p. Let g(z) = -16*z**3 - 8*z. Give 5*g(w) + 40*j(w).
-40*w**3
Let w(f) = 9*f + 5. Let t(h) be the first derivative of 5*h**2 + 6*h - 49. Calculate -5*t(g) + 6*w(g).
4*g
Let s = -17 - -18. Let c(u) = u**3 - u - 1. Let i(h) = 3*h**3 - 4*h - 4. What is s*i(t) - 4*c(t)?
-t**3
Let b(o) be the first derivative of o**3 + 7*o**2/2 + 3*o - 192. Let p(r) = r**2 + 2*r + 1. Let n = -4 - -2. Calculate n*b(l) + 7*p(l).
l**2 + 1
Let g(p) = -2 + 6 - 116*p**3 + 115*p**3 - p. Let z(s) be the second derivative of -s**5/10 - s**3/3 + 5*s**2 + s. Give -12*g(b) + 5*z(b).
2*b**3 + 2*b + 2
Let o(z) = 2*z**3 + 3*z**2 - 3. Let w(d) = -d**3 - d**2 + 1. Let h = -39 - -37. Determine h*o(j) - 6*w(j).
2*j**3
Let t(s) = -s - 2. Let n be ((-22)/33)/(1/(6/4)). Let w(g) = g. Determine n*t(q) - 4*w(q).
-3*q + 2
Let k(c) = -12*c**3 - 9*c**2 - 9*c - 9. Let l(m) = 6*m**3 + 5*m**2 + 5*m + 5. What is 5*k(j) + 9*l(j)?
-6*j**3
Let q(g) = -4*g**3 + 17*g**2 - 5*g - 5. Let s(v) = 6*v**3 - 26*v**2 + 8*v + 8. Calculate 8*q(j) + 5*s(j).
-2*j**3 + 6*j**2
Let k(v) = v**3 + 6*v**2 + v + 2. Let m be k(-6). Let f(t) = -t. Let a(l) = -6*l - 1. What is m*f(h) + a(h)?
-2*h - 1
Let y(z) = 17*z**2 + z. Let d(v) = v. Give -2*d(u) + 2*y(u).
34*u**2
Let s(w) = -7*w + 14. Let c(j) = -2*j + 5. Let i(d) = 8*c(d) - 3*s(d). Let o(p) = -p - 2 + 6 - 10*p + 1. What is 9*i(f) + 4*o(f)?
f + 2
Let l(j) = -j**2 + j**2 - 1 + j**2. Let b = -1 - 3. Let o(u) = -5*u**2 - u + 3. Let r(g) = -g**2 - 6*g - 6. Let v be r(-5). Calculate b*l(w) + v*o(w).
w**2 + w + 1
Let v(g) = g**3 - g**2. Let h(f) = 8*f**2 - f**2 - 130*f**3 + 120*f**3. Give -h(u) - 6*v(u).
4*u**3 - u**2
Let d(i) = -i**2 + 2*i + 1. Let v(w) be the first derivative of 3*w**2/2 + w - 8. What is -3*d(f) + 2*v(f)?
3*f**2 - 1
Let k(s) = s**3 - 4*s**2 + 4*s. Let c be k(3). Suppose 0 = 2*j - c + 1. Let w(r) = -1. Let t(i) = -2*i - 4. Give j*t(u) - 5*w(u).
-2*u + 1
Let y(n) = -8*n + 7. Suppose -3*k - 13 = 2*i, 3*k + 0*k - 17 = 4*i. Let l(b) = 7*b - 6. What is i*y(w) - 6*l(w)?
-2*w + 1
Let w(g) = -7*g**2 + 4*g. Let f(i) = -8*i**2 + 3*i. Give -6*f(c) + 5*w(c).
13*c**2 + 2*c
Let f(l) = 4*l + 1. Let x(b) = -3 - 7*b + 2 - 1. Calculate 11*f(d) + 6*x(d).
2*d - 1
Let i(l) = l**3 + l**2 + 3. Let z(u) = u**3 + 5*u + 11. Let x(o) = o**3 + o**2 - o + 1. Let f(n) = 5*x(n) + z(n). What is -4*f(a) + 22*i(a)?
-2*a**3 + 2*a**2 + 2
Suppose -2*n = -4 - 18. Let v(t) = 5*t + 1 + 0*t - t. Let k(g) = 21*g + 5. Let d(y) = -y**3 + 4*y**2 - 3*y - 2. Let l be d(3). Determine l*k(p) + n*v(p).
2*p + 1
Let m(s) = s**2. Let c(k) = -225*k**2. Calculate c(z) + 150*m(z).
-75*z**2
Let v(r) = 5*r - 6. Let i be (-5)/2*(1 + -7). Let b(n) = -14 + 13 - 6*n - 10 + i*n. Give 6*b(s) - 11*v(s).
-s
Suppose 0 = -0*b + 3*b - 6. Let t(d) = 3 + 8*d - d + 1 + 2*d**b. Let v(q) = -2*q**2 - 6*q - 3. Determine 4*t(o) + 5*v(o).
-2*o**2 - 2*o + 1
Let m(i) = 27*i**3 - 21*i**2 + 21. Let x(b) = -7*b**3 + 5*b**2 - 5. What is -5*m(a) - 21*x(a)?
12*a**3
Let z(w) = -2*w**2 + 37*w - 4. Let t(c) = 4*c**2 - 74*c + 7. Determine 4*t(y) + 7*z(y).
2*y**2 - 37*y
Let o(p) = -20*p + 7. Let y(q) = -19*q + 6. Give 4*o(d) - 5*y(d).
15*d - 2
Let v(t) = -2*t - 1. Let p(i) = -i. Let h(x) = x**3 + 6*x**2 + 4*x - 4. Let q be h(-5). Suppose -6 = y - q. Give y*p(s) + 2*v(s).
s - 2
Let p(s) = s + 1. Let t(w) = 15. Give 2*p(x) - t(x).
2*x - 13
Let c(u) = -u**2 - 1. Let g(r) = -4*r**2 - 2. Let w(p) = -c(p) - g(p). Suppose 4*l + 40 = -l. Let x(k) = -3*k**2 - 2. Let h = -11 - -6. Give h*w(s) + l*x(s).
-s**2 + 1
Let j(x) = -x + 1. Let i(d) = -3*d**2 - 2*d + 6. Let w be i(-3). Let t = w + 7. Let p(a) = -2*a**2 + 8*a - 6. Determine t*j(r) - p(r).
2*r**2 - 2
Let b(y) = 69*y - 5. Let k(t) = 104*t - 8. Give -8*b(v) + 5*k(v).
-32*v
Suppose 5*i - 22 - 38 = 0. Let x be (-4)/i*3*-5. Let r(p) = 9*p**2 - 5*p. Let f(k) = 14*k**2 - 8*k. Calculate x*f(m) - 8*r(m).
-2*m**2
Let a(q) = q**2 - 15*q + 32. Let x be a(12). Let l(t) = -6*t**3 - 5*t**2 + 4*t + 2. Let h(y) = -5*y**3 - 4*y**2 + 3*y + 2. What is x*h(i) + 3*l(i)?
2*i**3 + i**2 - 2
Let f(q) = -6*q**3 - 7*q**2 + 3. Let m(i) = 2*i**3 + 2*i**2 - 1. Let b(j) = -j - 6. Let n be b(-8). What is n*f(w) + 7*m(w)?
2*w**3 - 1
Let y(a) = -49*a**3 - 21*a**2 + 21*a. Let n(m) = 5*m**3 + 7*m + 12*m + 5*m + 2*m**2 - 26*m. What is 21*n(s) + 2*y(s)?
7*s**3
Let r(f) = 7*f**2 - 8. Let j(a) be the first derivative of -2*a**3 + 7*a - 13. Calculate 6*j(s) + 5*r(s).
-s**2 + 2
Let z(v) = -575*v. Let p(k) = -18*k. What is 161*p(y) - 5*z(y)?
-23*y
Let l(g) = 25*g**2 + 3*g - 4. Let b(z) = 25*z**2 + 4*z - 5. Calculate 3*b(p) - 4*l(p).
-25*p**2 + 1
Let i = 1 + 4. Suppose m - i*m = 12. Let o(u) = -11*u. Let a(r) = -r - 1. Let j(b) = -7*b - 2. Let v(y) = 2*a(y) - j(y). Determine m*o(p) - 7*v(p).
-2*p
Let a(h) = -2*h**2 + 6*h - 2. Let f(k) = 3*k**2 - 11*k + 3. Let i = 12 + -8. Let o(m) = m**2 - 3*m + 3. Let g be o(i). What is g*a(j) + 4*f(j)?
-2*j**2 - 2*j - 2
Let b(w) = -35*w**2 - 3*w + 3. Let a(g) = -280*g**2 - 25*g + 25. What is 3*a(c) - 25*b(c)?
35*c**2
Let i(q) = 16*q**3 + q**2 - 20*q. Let h(p) = 5*p**3 - 7*p. Give -7*h(z) + 2*i(z).
-3*z**3 + 2*z**2 + 9*z
Let p(o) = o + 1. Let j(a) = -a - 4. Let n(m) = j(m) - 5*p(m). Let x(i) = 3*i + 4. Determine -4*n(v) - 9*x(v).
-3*v
Let d(c) = -4*c**3 + 2*c + 1. Let l(p) = -13*p**3 + 6*p + 4. Calculate 7*d(i) - 2*l(i).
-2*i**3 + 2*i - 1
Let f(p) = 5*p + 5. Let x(o) = -o + 1. Let m(t) = 5*t - 4. Let l(v) = -2*m(v) - 9*x(v). Suppose -2*h = -3 + 1. Calculate h*f(z) + 3*l(z).
2*z + 2
Let i(o) = -2 + 3 - 2*o**3 + 0 + o**2 - 3. Let q(h) = 2*h**3 - h**2 + 2. Determine -3*i(s) - 4*q(s).
-2*s**3 + s**2 - 2
Let s(k) = 2*k. Let r(v) = -4*v - 4*v + 6*v. Suppose -2*g - 5*q = -21, -4*g - 2*q + 3 = -5*q. Let x = -10 - -12. What is g*s(l) + x*r(l)?
2*l
Let o(z) = z**3 - 6*z + 7. Let p(y) = -y**3 + 5*y**3 + 6 - 3*y**3 - 5*y. Calculate -5*o(l) + 6*p(l).
l**3 + 1
Let f(o) be the third derivative of o**5/20 + o**4/8 + 3*o**3/2 - 13*o**2. Let v(g) = -2*g**2 - 2*g - 5. What is -4*f(j) - 7*v(j)?
2*j**2 + 2*j - 1
Let c(n) be the first derivative of 4*n**2 + 4*n + 7. Suppose 0 = 3*q - 4*o - 30, 24 = -0*q + 3*q - 2*o. Let y(r) = -r - 1. What is q*y(w) + c(w)?
2*w - 2
Let w(o) = 6*o**3 - 6*o**2 - 4*o. Let i(r) = r**3 - r**2 - r. Give 4*i(h) - w(h).
-2*h**3 + 2*h**2
Let l(m) = 36*m**3 + 26*m**2 - 26. Let j(t) = 4*t**3 + 3*t**2 - 3. Determine 52*j(z) - 6*l(z).
-8*z**3
Suppose 1 + 3 = 2*n. Let i(d) = d**2 - d + 2 - 1 + n*d. Let y be 2/8 + 13/(-4). Let c(b) = -2*b**2 - 2*b - 1. Give y*c(a) - 5*i(a).
a**2 + a - 2
Let s(v) = 4*v + 2. Let h(j) = j. Let l(m) = -3*h(m) - s(m). Let r(w) = 20*w + 6. What is 11*l(g) + 4*r(g)?
3*g + 2
Let j(b) = -b - 3. Let i(o) = -6*o - 16. Let q(p) = -2*i(p) + 11*j(p). Let f(z) = z - 3. Let x(c) = -4. Let g(u) = -3*f(u) + 2*x(u). Determine -g(m) - q(m).
2*m
Let k(m) = -m**3 + m**2 - 1. Let v(r) be the first derivative of -r**4/4 - r - 6. Determine 3*k(x) - 2*v(x).
-x**3 + 3*x**2 - 1
Let u(j) = -2*j**2. Let a(l) = 182*l + l**2 - 4*l**2 + l**3 - 182*l. Determine 4*a(d) - 6*u(d).
4*d**3
Let v = -84 + 82. Let x(j) = -6*j**3 - 3*j**2 + 3*j + 1. Let b(h) = 5*h**3 + 2*h**2 - 2*h - 1. Calculate v*x(a) - 3*b(a).
-3*a**3 + 1
Let x(f) | {
"pile_set_name": "DM Mathematics"
} |
nded to 2 dps?
-0.56
Let w be (0 - (2 + -2))*(-17)/34. Suppose w = -64*h + 8*h + 7464800. Round h to the nearest ten thousand.
130000
Let k = -13.7069 - -13.707049353. Round k to 5 dps.
0.00015
Let m = -2135.012 - -2128. What is m rounded to the nearest integer?
-7
Suppose -26115 = 5*f - 15*u + 10*u, -2*f - 10431 = 3*u. What is f rounded to the nearest ten thousand?
-10000
Let s = -123.64 - 29.33. Let b = s - -154. Let p = 1.0300054 - b. What is p rounded to 6 dps?
0.000005
Suppose 51*t + 33*t + 611688 = 0. What is t rounded to the nearest one thousand?
-7000
Let n be 26025*((-152)/(-1444) - (-392)/(-114)). Round n to the nearest ten thousand.
-90000
Let l = 0.72 + 0.81. Let u = l - 19.93. Let c = 31.1 + u. What is c rounded to the nearest integer?
13
Let c = -0.2386 - -44.6686. What is c rounded to the nearest 10?
40
Suppose -53*l = -48*l - 5*a + 51600, -2*l - 20649 = a. Round l to the nearest one hundred.
-10300
Let f = -18339 - -18263.544. What is f rounded to the nearest 10?
-80
Let x = -0.37490453 - 2.82509506. Let h = x - -3.2. What is h rounded to seven dps?
0.0000004
Let w = 12257.9994399 - 12258. What is w rounded to 4 decimal places?
-0.0006
Let c be 10/35 + 182/49. Suppose -5*h = -c*h - 4, -t = 3*h - 20900012. What is t rounded to the nearest 1000000?
21000000
Let j = 196 - 196.13. Let u = 21.36 + -21. Let g = j + u. Round g to 1 decimal place.
0.2
Let k = -26516.3 + 27884. What is k rounded to the nearest ten?
1370
Let m(b) = 32200007*b - 5. Let x be m(2). Suppose 4*t - 2*f - 13027224 + 77427218 = 0, 4*t + 3*f + x = 0. Round t to the nearest one million.
-16000000
Suppose 0 = -5*f + 8*f + 356490000. Round f to the nearest 1000000.
-119000000
Let n = -1735.7 - -1530. Let u = n - -196. Let z = -8.48 - u. What is z rounded to one dp?
1.2
Let g = -9.54182 + 0.02582. What is g rounded to one decimal place?
-9.5
Let j(p) = -p**2 - 1. Let h(l) = 4*l**2 + 19. Let y(f) = h(f) + 5*j(f). Let g be y(6). Let i = -9 - g. Round i to the nearest one hundred.
0
Let h = -175.278612 + -0.127388. What is h rounded to the nearest integer?
-175
Let y = 7.49 + -6.391. Let x = 1.10439 - y. What is x rounded to 4 decimal places?
0.0054
Let y = -585 - -587.63. Let p = -2.629999422 + y. What is p rounded to 7 decimal places?
0.0000006
Let w = -0.2168 + -9.2372. Round w to the nearest integer.
-9
Let h be (5/(-10))/(-2 + 52598/26300). Suppose o = -1, 2*n = 5*n - 4*o + h. Let d be 600/(-9)*(n + 3). What is d rounded to the nearest one hundred thousand?
100000
Let q = -0.139 - 187.861. Let p = q + 187.99055. Round p to three dps.
-0.009
Let l = 39.7 + -75.6. Let r = -34.6 - l. What is r rounded to the nearest 10?
0
Let c = 373 + -265. Let m = -767632 - -767739.99412. Let w = c - m. What is w rounded to three dps?
0.006
Suppose 0 = 7*p - 82 + 40. Suppose -p*k = 3*k + 192600000. What is k rounded to the nearest one million?
-21000000
Suppose 3*m - 4*z - 9 = 11, 3*m + 3*z = 27. Suppose -31653830 + 7157830 = m*c. Round c to the nearest one hundred thousand.
-3100000
Let x = -4776302 + 4776380.00068. Let k = x + -78. Round k to four dps.
0.0007
Let j = -1325512 + 1325488.099725. Let t = 23.9 + j. What is t rounded to 5 dps?
-0.00028
Let w = -10809 - -10808.9969162. What is w rounded to five dps?
-0.00308
Let r(d) be the second derivative of -4723*d**3/6 - 61*d**2/2 + 13*d. Let i be r(-7). What is i rounded to the nearest one hundred thousand?
0
Let g be (2904/56 + -9)/(2/1883). What is g rounded to the nearest one hundred?
40400
Let k = -652650 + 653893.957. Let a = k + -1248. What is a rounded to 1 decimal place?
-4
Let h = -12045 - -12065.034. Round h to the nearest integer.
20
Let t = -7986454.83945 + 7991674.010449504. Let n = t + -5219.223. Let i = -0.052 - n. What is i rounded to 7 dps?
0.0000005
Let h = 1091956.6 - 1091925.299315. Let y = h - 31.3. What is y rounded to five dps?
0.00069
Let h = 6.7 + -15.3. Let v = h - -3.6. Let j = 5.00102 + v. What is j rounded to 4 decimal places?
0.001
Let b = -177816 + 177815.8670069. Let d = 29.3 + -29.433. Let j = b - d. What is j rounded to 6 decimal places?
0.000007
Let w = 2.1246 - 2.893. What is w rounded to one dp?
-0.8
Let j = 18.18228167 - 18.182. What is j rounded to 5 decimal places?
0.00028
Let o = 9546.0013198 + -9546. Round o to five decimal places.
0.00132
Let h = 4619 - 4619.00005672. Round h to six decimal places.
-0.000057
Suppose -3*r = -5*r - 3*s - 7, -3*r = 2*s - 2. Suppose 0 = -16*m + 10261 + 21419. Suppose 5*i + 2484 = -r*l, 0*i - m = 4*i + 5*l. Round i to the nearest 1000.
-1000
Let x = -50.04 + 1.04. Let f = -5822 + 5871.074. Let y = x + f. Round y to 2 decimal places.
0.07
Let k = 115 + -111. Suppose -3*v = -5*a - 0 - 14, 0 = 2*v + 2*a - k. Let d be -10*(0 + -107 + v). What is d rounded to the nearest one hundred?
1000
Suppose -4543670 = -3*m + 2364238. Let y = m + -11032636. What is y rounded to the nearest one hundred thousand?
-8700000
Let c = -74.4254347 - 667.574528. Let h = c + 742. Round h to five dps.
0.00004
Let c = -33.1 + 33.62. Let x = -0.51999972 + c. What is x rounded to 7 decimal places?
0.0000003
Let o = -1636.29999258 - -1636.3. Round o to 5 decimal places.
0.00001
Let u = -191876 + 191628.001. Let f = u + 248. What is f rounded to 1 dp?
0
Let p = 141893.7 + -66077. Let y = p - 75853.699915. Let s = 37 + y. Round s to five dps.
0.00009
Let l(u) = -397150*u + 11. Let i be l(-8). Suppose i = 3*h - 1132559. Suppose -4436590 = -3*y - h. Round y to the nearest one million.
1000000
Let v(s) = -s**3 + 13*s**2 + 2*s + 14083. Let n be v(0). What is n rounded to the nearest 10000?
10000
Let d = 1290.31 + -1249. Round d to the nearest ten.
40
Let o = -2 - -1. Let s = o - 11. Let w be ((-5753)/(-3) - 1)*s. Round w to the nearest 10000.
-20000
Let y = 15.8 - 1273.8. Let j = 1182.9 + y. Round j to zero dps.
-75
Suppose 9*k - 13 - 86 = 0. Suppose k*q - 2*q = -14400000. What is q rounded to the nearest 100000?
-1600000
Let q(t) = 810760*t**2 + 258*t + 1290. Let w be q(-5). What is w rounded to the nearest one hundred thousand?
20300000
Let v = -38239719643 - -38239720557.000002045. Let j = v + -914. Round j to 7 decimal places.
0.000002
Let h = 4111.33 + -4105. Round h to the nearest ten.
10
Let f = -2.55 + 2.764. Let d = 9.284 - f. Round d to the nearest integer.
9
Let v(h) be the third derivative of -h**5/60 + h**4/3 - 2*h**3/3 + 8*h**2. Let s be v(7). Suppose -s*t = -156 - 714. Round t to the nearest 100.
300
Let s(t) be the second derivative of 7*t**3/3 + 51*t**2/2 + 21*t. Let h be s(-5). What is h rounded to the nearest ten?
-20
Let v = 1.958 + 469.642. Let n = v - 411. Round n to the nearest 10.
60
Let v = 604.57 + -604. Let w = 577.402 - 578. Let n = w + v. Round n to 2 dps.
-0.03
Let q = -9071 + 9070.9978124. What is q rounded to five dps?
-0.00219
Let t = -4.002 + 3.6256. What is t rounded to 1 dp?
-0.4
Let y = 4.2 + -0.7. Let w = y + -3.561. Let l = w - -0.06094. What is l rounded to four decimal places?
-0.0001
Let q = -200976.579964 + 200977. Let k = q - 0.42. What is k rounded to five dps?
0.00004
Let l = -266 - -266.796. Round l to one decimal place.
0.8
Let d = 65.09 - 65. Let j = d - -65.91. Let z = j - 66.166. Round z to 2 decimal places.
-0.17
Let l = -62071.239 + 61992. What is l rounded to the nearest ten?
-80
Let r = 14.06223639 + -14.162237. Let k = 0.1 + r. What is k rounded to 7 dps?
-0.0000006
Let j = -55 + 56.44. Let k = -1.71642 - -0.27204. Let s = j + k. Round s to three dps.
-0.004
Suppose -4*z + 28159 = -207669. Let g = z + -98157. Round g to the nearest one thousand.
-39000
Let u = 460408 + -460629.8577. Let b = u + 222. Round b to two dps.
0.14
Suppose -t - m + 4*m - 15 = 0, -m = -5. Suppose -12*g - 517230 - 19470 = t. Let l = -88725 - g. What is l rounded to the nearest 10000?
-40000
Let c = -366 - -82. Let n(f) = -673*f + 3. Let j be n(-1). Let x = j - c. Round x to the nearest 1000.
1000
Let o = -0.0070619046544 + -1567.9929359583456. Let a = -1568 - o. What is a rounded to 7 dps?
-0.0000021
Let p = 0.4232 + 83.0868. What is p rounded to the nearest 10?
80
Let v = 91.7839 - 94.4. Let k = v - 0.0839. What is k rounded to the nearest 10?
0
Let s = 1.248 + -1.06. Let o = s + 0.042. Let x = o - -3.57. Round x to the nearest integer.
4
Let b = 48 + -118. Let t | {
"pile_set_name": "DM Mathematics"
} |
t from {l: 4, z: 2, r: 1, w: 5, i: 4}. What is prob of picking 1 r and 2 z?
1/560
What is prob of picking 1 d and 1 w when two letters picked without replacement from wcebdwbddeuddwbee?
15/136
Two letters picked without replacement from yyyyeygyegyyyagegg. Give prob of picking 2 e.
1/51
Calculate prob of picking 2 z when two letters picked without replacement from {z: 10, w: 9}.
5/19
Calculate prob of picking 1 p and 1 q when two letters picked without replacement from pqqrdppdqqqrdnqd.
3/20
Three letters picked without replacement from vvvvvvbvbpvppylyvb. What is prob of picking 1 y, 1 l, and 1 v?
3/136
Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmqeeqmeeqmeqkve.
1/30
Four letters picked without replacement from ssesumas. Give prob of picking 2 s, 1 u, and 1 a.
3/35
Two letters picked without replacement from xxxgxgx. Give prob of picking 1 x and 1 g.
10/21
Two letters picked without replacement from {y: 1, q: 7}. Give prob of picking 1 q and 1 y.
1/4
Three letters picked without replacement from {l: 8, o: 2, b: 4, s: 2, r: 3, u: 1}. Give prob of picking 1 u and 2 b.
1/190
What is prob of picking 2 r when two letters picked without replacement from {w: 7, r: 3}?
1/15
Three letters picked without replacement from yyyryyry. Give prob of picking 2 r and 1 y.
3/28
Three letters picked without replacement from {o: 3, y: 8, a: 6}. What is prob of picking 1 a and 2 y?
21/85
Calculate prob of picking 1 c and 3 x when four letters picked without replacement from ncnnnknxnnxppnnxn.
1/2380
Calculate prob of picking 1 m and 2 g when three letters picked without replacement from {m: 2, l: 1, g: 2}.
1/5
Four letters picked without replacement from {m: 2, s: 2, q: 2}. What is prob of picking 2 m and 2 s?
1/15
Four letters picked without replacement from guuuggcuggggcc. Give prob of picking 2 g and 2 c.
9/143
What is prob of picking 1 q, 1 i, and 2 s when four letters picked without replacement from hkhuiuhshuqhuusuqihi?
2/1615
What is prob of picking 3 q when three letters picked without replacement from eeeqexqooqoeee?
1/364
Calculate prob of picking 1 s and 3 c when four letters picked without replacement from {u: 9, c: 3, w: 3, s: 5}.
1/969
Three letters picked without replacement from {k: 1, c: 4, r: 1, w: 3, z: 2}. What is prob of picking 1 r and 2 c?
2/55
What is prob of picking 1 r and 3 c when four letters picked without replacement from {c: 7, r: 2}?
5/9
What is prob of picking 3 d and 1 h when four letters picked without replacement from hhddhhhdhhhddh?
90/1001
Calculate prob of picking 2 c, 1 r, and 1 w when four letters picked without replacement from {v: 5, w: 5, r: 1, c: 3, a: 3, g: 1}.
1/204
Two letters picked without replacement from ohbppdqh. What is prob of picking 1 d and 1 o?
1/28
What is prob of picking 1 d, 1 r, 1 t, and 1 j when four letters picked without replacement from rjdatdtrdftrfdfdf?
9/476
Two letters picked without replacement from {w: 3, e: 2, z: 4, f: 3, l: 3, n: 1}. What is prob of picking 1 e and 1 z?
1/15
Two letters picked without replacement from {z: 1, m: 2, i: 1, r: 1, b: 2, o: 1}. Give prob of picking 2 b.
1/28
Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {z: 1, t: 4, j: 1, o: 1, k: 4, e: 7}.
16/153
Calculate prob of picking 3 o and 1 s when four letters picked without replacement from oooooososoo.
28/55
Calculate prob of picking 4 y when four letters picked without replacement from yyyyy.
1
Two letters picked without replacement from pwypwwyw. Give prob of picking 1 y and 1 p.
1/7
Three letters picked without replacement from dmemkkemmemmkf. What is prob of picking 1 d and 2 m?
15/364
Calculate prob of picking 2 f when two letters picked without replacement from {n: 2, f: 2, x: 1, b: 3, y: 4, v: 2}.
1/91
What is prob of picking 2 o when two letters picked without replacement from ootgccgotogottg?
2/21
Three letters picked without replacement from {w: 1, v: 2, q: 4}. What is prob of picking 2 q and 1 w?
6/35
Calculate prob of picking 3 q and 1 z when four letters picked without replacement from yxqzzqqzyxzyyqxyyqx.
10/969
What is prob of picking 3 w when three letters picked without replacement from {n: 16, w: 4}?
1/285
Three letters picked without replacement from {h: 2, a: 3, u: 1, i: 4, g: 1}. Give prob of picking 2 i and 1 u.
2/55
Three letters picked without replacement from vnnnaavnaanaa. What is prob of picking 3 a?
10/143
What is prob of picking 1 i, 1 y, 1 f, and 1 u when four letters picked without replacement from iiyddiafuda?
1/110
What is prob of picking 3 o when three letters picked without replacement from {o: 5, h: 3, p: 1}?
5/42
Three letters picked without replacement from {p: 1, t: 1, u: 1, m: 5, l: 6}. Give prob of picking 2 m and 1 u.
5/182
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {t: 1, l: 2}.
2/3
What is prob of picking 2 l when two letters picked without replacement from {l: 2, w: 10}?
1/66
Three letters picked without replacement from oononnnnnnononoo. What is prob of picking 1 o and 2 n?
9/20
Calculate prob of picking 1 b, 1 n, and 2 u when four letters picked without replacement from {l: 2, n: 2, m: 2, b: 7, u: 2}.
2/195
Two letters picked without replacement from kkrkirkkkk. Give prob of picking 1 r and 1 i.
2/45
Two letters picked without replacement from zqqqqzqqq. Give prob of picking 2 z.
1/36
Three letters picked without replacement from hxxktkhxkmxthkkxkkt. What is prob of picking 1 k, 1 h, and 1 m?
7/323
Calculate prob of picking 2 h when two letters picked without replacement from {y: 2, h: 1, k: 1, d: 2}.
0
Four letters picked without replacement from rmiifjj. What is prob of picking 1 i, 1 m, 1 j, and 1 f?
4/35
What is prob of picking 1 k and 1 r when two letters picked without replacement from llklzjzzzppjlpjjr?
1/136
What is prob of picking 2 a when two letters picked without replacement from aawww?
1/10
What is prob of picking 2 r when two letters picked without replacement from jrjddjjrjr?
1/15
Calculate prob of picking 1 v and 1 b when two letters picked without replacement from bvovsbavavaabaab.
2/15
What is prob of picking 1 m and 1 k when two letters picked without replacement from {s: 6, p: 2, i: 1, k: 2, m: 1}?
1/33
What is prob of picking 1 g and 1 v when two letters picked without replacement from {c: 1, z: 1, v: 3, g: 2}?
2/7
Four letters picked without replacement from {m: 3, l: 9}. Give prob of picking 3 l and 1 m.
28/55
Four letters picked without replacement from {o: 3, v: 10, a: 4, c: 2}. Give prob of picking 1 v and 3 a.
10/969
Four letters picked without replacement from sjssssjjjssjj. Give prob of picking 3 j and 1 s.
28/143
What is prob of picking 1 x and 2 q when three letters picked without replacement from xqo?
0
Four letters picked without replacement from uuumouiuaiuauauum. Give prob of picking 1 o, 1 m, and 2 i.
1/1190
Two letters picked without replacement from iuyysyxllysi. Give prob of picking 1 i and 1 s.
2/33
Calculate prob of picking 1 s and 1 t when two letters picked without replacement from ottoossjtttooss.
4/21
Two letters picked without replacement from arfaffpaaaapfaafaaar. Give prob of picking 1 a and 1 f.
11/38
Two letters picked without replacement from {z: 3, c: 1, x: 2, e: 1}. What is prob of picking 1 x and 1 z?
2/7
Four letters picked without replacement from {a: 4, t: 14}. Give prob of picking 1 a and 3 t.
364/765
Two letters picked without replacement from annaulnnnnandnuvnddl. What is prob of picking 1 n and 1 d?
27/190
What is prob of picking 2 l when two letters picked without replacement from {l: 2, j: 3}?
1/10
Calculate prob of picking 4 e when four letters picked without replacement from eeieeie.
1/7
Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {t: 2, j: 2, i: 2}.
4/15
Calculate prob of picking 1 b and 2 m when three letters picked without replacement from {l: 1, m: 3, s: 2, b: 6}.
9/110
Three letters picked without replacement from {s: 1, e: 1, b: 1, x: 1, m: 1}. What is prob of picking 1 x, 1 b, and 1 e?
1/10
Calculate prob of picking 1 z, 1 l, and 1 h when three letters picked without replacement from {w: 2, z: 1, t: 1, h: 1, o: 1, l: 1}.
1/35
Wh | {
"pile_set_name": "DM Mathematics"
} |
+ 10, -o*z - 6 = -3*t + z. Suppose -4 = -4*r + t. Solve r*w + 0*w + 1 = 3*u, -4*w - 4 = -4*u for w.
-2
Let t be ((-36)/(-16))/((-6)/(-16)). Let w(r) = -r**3 - 5*r**2 - 6*r - 5. Let o be w(-4). Suppose -o*i = -t*i + 12. Solve -s + 1 = -j, j - 3*j + 4*s = i for j.
0
Suppose 0 = 4*b + 2*t, b - 17 + 6 = 5*t. Let x(h) = -11*h + 311. Let v be x(28). Solve -g = 4*l + 7, b = -l - v*g + 13 for l.
-3
Let t be 2/(-5) - (-16)/40. Suppose 3*c - 3*m - 21 = 0, 0*c + 3*m + 31 = 5*c. Solve c*g - s + 2 = -0*g, t = -4*s + 8 for g.
0
Let l = -6 + 9. Solve l*m - 2*x = -13, 2*m + 19 = 3*m + 4*x for m.
-1
Let a = -30 - -32. Solve 2*b = -a*r - 2*r - 12, 5*b - 35 = 3*r for r.
-5
Suppose 2*w + w - 27 = 0. Suppose 0*r = -3*r + w. Suppose -29 = -8*q + 3*q + 3*c, -2*q - r*c - 1 = 0. Solve 5*j - 3*j - q = 0, 3*p - 19 = -5*j for p.
3
Let f(o) = -o - 2. Let v be f(-6). Solve -4*w = -2*m + 17 + 9, v*w + 23 = m for m.
3
Let u be 58/6 - (-1)/3. Solve -2*j = 4*c, -2*j - 2*j + 2*c + u = 0 for j.
2
Let h = -4 + 6. Let l(w) = -3*w + 8. Let m be l(6). Let s = m - -12. Solve -h*n + 8 = -n - s*t, 20 = 4*n - 4*t for n.
2
Suppose -5 = -3*u + 4*m, 4*m - m - 26 = -2*u. Solve -3*z = -u*q + 3*q + 14, -2*q - 2*z = 0 for q.
2
Let m be (-76)/(-20) - 2/(-10). Suppose -2*q + m = 4*k - 18, 3*k - 27 = -5*q. Suppose -k*p = 5 - 25. Solve 0 = -o + 4*n + 7, 2*o - p*n = 5 + 3 for o.
-1
Let p(w) be the third derivative of w**5/60 + w**4/12 + w**3/2 - 6*w**2. Let b be p(-2). Solve -a - q = -5*a - 15, b*a + 2*q + 3 = 0 for a.
-3
Suppose n + 3*n + 24 = 0. Let f = n - -10. Solve x - f*m - 6 - 2 = 0, -4*x + 3*m + 6 = 0 for x.
0
Let b(d) = -d**3 + 1 - 6*d**2 + 0 - d + 4*d**2. Let f be 7/(-3) - 12/18. Let k be b(f). Solve 5*w + 7 = 3*m - k, 4*w - 4*m + 24 = 0 for w.
-1
Suppose -16 = -3*w + 4*r + 2, 0 = 2*r. Solve 3*a = 4*u + u + 37, 0 = 2*u + 4*a - w for u.
-5
Let v(t) be the third derivative of t**4/8 + t**2. Let w be v(-1). Let s be (30/(-9))/(2/w). Solve 3*m = -3*u - 15, -s*m - 13 = -0*u + u for u.
-3
Suppose 4 = -4*k + 16. Suppose h = 3*v + 17, k*h - 21 = 3*v - 0*v. Solve 4*f + 3*t - 1 = -5, 5*f + 5 = -h*t for f.
-1
Let h be (-1 + 1)/(3/(-1)). Suppose 2*k + h = 4. Suppose -6 = -d - 4*n, -5*n + k = -2*d + 1. Solve 6 = -x + 2*x + d*z, 5*x + 6 = -z for x.
-2
Let f(z) = -4*z**2 + z. Let i be f(-5). Let h be ((-4)/6)/(14/i). Suppose 0 = -0*o - o + 3. Solve -o = -2*k + h, -4*p = -2*k + 12 for p.
-1
Let z(j) = -j**2 - 7*j - 2. Let k be (4 + 2)*(4 + -5). Let u be z(k). Solve 5*m = -3*f - 0 - 14, 3*m = u*f - 20 for m.
-4
Suppose 0 = 3*l + 2*a - 37, a - 14 = -l + 2*a. Let z = -95 - -98. Solve -z*r - 2 = k, -2*r + 5*k = 11 + l for r.
-2
Let h be (-10 + 2)*3/(-6). Solve -r - 4 - 2 = h*i, 2*r = i - 3 for r.
-2
Suppose -12 = -6*o + 3*o. Solve 2*d = -4*u + 4 + 4, -2*u = -d - o for d.
0
Suppose 5*d + 0 = 10. Solve -d*f - 14 = 2*h + 3*f, -3*f = 6 for h.
-2
Suppose 0 = -5*w + 6*w - 3. Solve w*c - 25 = 5*o, 7*c = -5*o + 2*c + 15 for o.
-2
Suppose 3*q - 3*p = -2*q + 5, -5*p = -3*q - 13. Let z(r) = 3*r**2 + r. Let b be z(1). Let y = b + 1. Solve 5*i = 0, 0 = q*j - y*i - 5 + 1 for j.
1
Suppose -4*l - 8 = g, -3*l = -l + 6. Suppose -u - u = -2*z + 6, -2*z = -g*u - 12. Solve -n - 5 = -2*c - 0*c, 4*n + 2*c = z for n.
-1
Let t = 0 - -3. Suppose 2*m = -2*z + 6, -t*z = -2*z + 5*m - 7. Let h be 31 + (-6)/(-2) + -4. Solve -z*n = 4*y - 3*n + 4, 5*n = -5*y - h for y.
-2
Let x(i) = i**2 - 2*i - 12. Let f be x(5). Solve -u - 4 = 0, -g + u = -u - f for g.
-5
Let u = -7 - 3. Let d be (u/12)/(6/(-36)). Solve 5*w = -10, d*y + 5*w = 1 + 4 for y.
3
Let i be 3 + -3*(-1)/3. Solve 0 = -3*n - 5*r + 5 + i, 2*n - 5*r = 6 for n.
3
Let m = 13 + -22. Let h = m - -15. Solve d - r - 2 = 0, h = 3*d - 0*d + 4*r for d.
2
Let s = 24 + -14. Suppose -3*n - 5*w = -9 - 4, 4*n - s = -3*w. Solve 3*g + 8 = x - 1, -3*x = 4*g - n for x.
3
Let o be 13/1 - 2/(-1). Let y = o + -6. Solve 3*p - 3*t = y, -6*p - 14 = -4*p + 2*t for p.
-2
Let l = -2 - -4. Suppose -5*v = 4*v. Solve l*z = -g + 5, 5*z - 10 = -v*g - 5*g for z.
3
Let h be (-2)/(2 - -2)*-6. Suppose -h*o + 9 = -3*s - 0*s, 5*o = 2*s + 21. Let n be 2 - (s - 4 - -2). Solve -8 - 4 = n*c - 4*q, -q = c - 3 for c.
0
Suppose -l + 5*r + 17 = -0*l, -3*r - 7 = l. Suppose l*m - 42 = -m. Solve -4*w = -5*d + 23 + 5, -2*d + 3*w + m = 0 for d.
4
Suppose j - 2*j + 15 = 0. Solve -3*l = 5*y - 0*l - 11, 5*l + j = 0 for y.
4
Suppose -r = -6 + 1. Let v = 230 - 230. Solve z - r*p = -24, -4*p + 3*p + 5 = v for z.
1
Suppose -4*u + 11 = -5, 5*y = -5*u + 40. Suppose -15 = -y*r + 5. Solve -5*s = -4*z + 13, 5*z + 5*s = -0*z + r for z.
2
Let p(s) = s**3 - 2*s**2 - s - 1. Let j be p(3). Solve 4*c + 3*o + j = 0, 4*c = -5*o - 5 + 2 for c.
-2
Suppose 5*z + 9 = -3*l, -8 = 5*l + 5*z - 3. Solve 4 = -4*f + y + y, -l*f - 10 = -5*y for f.
0
Let x = 20 + -13. Let f(g) = -g - 1. Let q(u) = 7*u + 1. Let t(l) = 6*f(l) + q(l). Let s be t(x). Solve 3*z = -3*r - s*z + 32, -2*z + 8 = 0 for r.
4
Let t be (2 - 1)*2 - -1. Suppose 2*n + 1 = -5*l - 9, 3*n - 11 = -l. Let u = 6 - 2. Solve n*f + 5 = 5*b, -t*b + 17 = u*f - 0*f for f.
2
Suppose 24 = 3*x + 6. Let c = -6 + x. Solve -4*h + h + r - 14 = c, 0 = 2*h + r + 11 for h.
-5
Let m(l) = -l**3 - 3*l**2 + 6*l + 2. Let q be m(-4). Let v(i) = -i**2 + 2*i + 4. Let g be v(5). Let b = q - g. Solve 30 + 2 = -4*y - 5*u, -2*u - b = -y for y.
-3
Suppose -5*w + 57 = 5*a - 103, 0 = -2*w + 8. Let x = a - 25. Solve -x*i - 10 = -7*i - 2*k, -7 = 2*i - 3*k for i.
1
Let y = 33 + -20. Let c be 2 + 1/(-1) + -1. Suppose -4*x + 5 + 39 = c. Solve -5*s - y = 2*b + x, -s + 5*b + 6 = 0 for s.
-4
Let i(v) = -v**3 + 9*v**2 + 11*v - 5. Let n be i(10). Solve 8 + 0 = t - n*a, -3*a - 15 = -4*t for t.
3
Suppose -3*s = -2*m - 61, -m - 73 = -2*s - 2*s. Solve -a - 5*g - s = 0, 4*g = -5*a + a - 20 for a.
-2
Suppose 13 = 2*u + 7. Let h = 2 + -2. Suppose 2*x = -2*x + 4*f + 24, 0 = x - 4*f + 3. Solve -4*y - u*m - 25 = h, 0*y + 3*y = m - x for y.
-4
Let y = -7 + 9. Suppose 0 = 5*d - 3*x + 2*x - 15, -y*x - 8 = d. Let m = 5 - 3. Solve 2*t + 2*z + 0*z + m = 0, d*t + 5*z = 1 for t.
-2
Let p(n) = -n**3 + 4*n**2 + 2*n - 2. Let z be p(4). Let w = z + -4. Solve v + y + 4 = 10, 4*v = -w*y + 20 for v.
4
Suppose -12 = -3*s + 3*z, 4*s - 2*z - 30 = -5*z. Suppose -s*x + 2*x = -12. Solve b + m - 11 = -m, 0 = 4*b + x*m - 19 for b.
1
Suppose 4*g - 9 - 3 = 0. Suppose 20 = 7*b - g*b. Solve b*n + 2*h + 5 = -3*h, 5 = -h for n.
4
Suppose -3*o = 3*a + 9, -3*o + 2*a + 4 = 18. Let w be (-72)/27*(-3)/(-1). Let j = o - w. Solve -b - l - 1 = -j*l, -b - 2*l - 1 = 0 for b.
-1
Let b(s) = 5*s**2 - 2*s**2 - 3 + 9*s + 2*s**2 - 2*s - s**3. Let q be b(6). Solve 2*i + g = 3*g - 2, -q*g + 3 = -4*i for i.
0
Suppose -5*n + 43 = 2*a, 5*n + 52 = -3*a + 6*a. Let b = 12 - a. Let x = -5 - b. Solve j - 15 - 11 = 5*l, -l - x = 3*j for l.
-5
Let o be (6 + -9)*(-4)/3. Suppose q + o*q = 0. Suppose q = 5*l - 4*h - 15, -l + 3*h - 1 = -4. Solve 0 = 5*i, 0*w + w = l*i for w.
0
Let l(w) = -w**2 + 6*w. Let b be l(5). Solve -18 = -v + 4*m, -4*v + b*m = v - 15 for v.
-2
Suppose 0 = -4*l + 11 + 13. Suppose 2*j - 2 = l. Solve -4*s - 2*z + 6 = 0, 0 = -0*z + j*z + 20 for s.
4
Suppose -u - u = 0. Suppose u = 11*m - 14*m. Solve 18 + 0 = 3*y - 3*f, m = 4*y + f - 19 for y.
5
Let u = -22 - -24. Solve 2*v + 4 = 4*w + 24, 4*v = -u*w for w.
-4
Let c be (-16)/6*144/64. Let z(k) be the first derivative of -k**2/2 - k + 2. Let y be z(c). Solve -q - 2*g = -0*q, -y*q = g - 9 for q.
2
Let g(h) = h**2 - 4*h - 1. Let j be g(3). Let w = j + 7. Let z = 7 + -5. Solve z*x + w*a - 11 = 0, 3*x + 3*a = 5 + 7 for x.
1
Suppose -b + 13 = 2*b - 2*j, 2*j = -2*b + 2. Solve -3*m + b*r + r = 13, -r = -4 for m.
1
Let z(o) = -5*o**3 + 3*o**2 + o + 2. Let u(i) = i**3 + i**2 - i. Let s(v) = 4*u(v) + z(v). Let n be s(6). Solve 8*y - 3*y - n = 5*a, 0 = -5*a - 5*y for a.
-2
Let f be (-4)/18 + 87/27. Solve -i - 4*i = -4*j, 4*j + f*i + 32 = 0 for j.
-5
Suppose 0*s - 2*n = -2*s, 2*n + 5 = s. Let o = 5 + s. Solve l + 3*u + 16 = 0, -3*l + l + 5*u + 12 = o for l.
-4
Suppose w + 3*n - 12 = -0*w, 6 = 5*w - 3*n. Suppose 64 = w*r + 2*t, -3 = t - 2. Solve -4*o + 2*h + r = 0, -10 = -0*o - 5*o - h for o.
3
Let s(y) = y**3 + 7*y**2 - y - 3. Let h = -20 - -13. Let g be s(h). Solve 0 = -3*o + g*k + 23, -5*o + 3*k = -33 + 2 for o.
5
Suppose 44 + 54 = 5*d + 2*j, -2*d - 4*j | {
"pile_set_name": "DM Mathematics"
} |
y**2
Collect the terms in -785*s + 225 - 1641*s - 223.
-2426*s + 2
Collect the terms in 9*f**3 + 530907*f**2 - 96 - 530907*f**2 + 0*f**3 + 96.
9*f**3
Collect the terms in 3*d**2 + 7 - 15*d**2 - 14*d**2 - 4 + 19*d**2.
-7*d**2 + 3
Collect the terms in 56731*c**2 + 58196*c**2 + 58188*c**2 - 173121*c**2.
-6*c**2
Collect the terms in -1597*o - 4*o**2 - 27*o**2 + 590*o.
-31*o**2 - 1007*o
Collect the terms in -6 + 0 + 32*c**2 - 23*c**2 + 28*c**3 - 7*c**2 - 301*c.
28*c**3 + 2*c**2 - 301*c - 6
Collect the terms in 37*f**2 - 12081781697 + 12081781697.
37*f**2
Collect the terms in 552 + 546 - 990*w**3 + 2511*w**3 - 1098 + 3293*w**3.
4814*w**3
Collect the terms in -26082*i**2 + 13093*i**2 + 13064*i**2.
75*i**2
Collect the terms in 155494*f**2 + 9 - 155622*f**2 - 3 - 6.
-128*f**2
Collect the terms in 431 + 891*z**2 + 304 - 892*z**2 - 753.
-z**2 - 18
Collect the terms in -621*l**3 - 384*l**2 + 188*l**2 + 197*l**2.
-621*l**3 + l**2
Collect the terms in 373*a - 46172 - 72*a - 303*a - 11412 + 653.
-2*a - 56931
Collect the terms in 50*z**2 + 11 - 49*z**2 - 316*z**2 - 408*z**2.
-723*z**2 + 11
Collect the terms in 602*g**3 + 204380 - 204380 - 2*g**2 - 71*g**3.
531*g**3 - 2*g**2
Collect the terms in 554*b**3 - 544*b**3 - 525545021*b**2 + 525545021*b**2.
10*b**3
Collect the terms in 149198542469 - 3*f - 149198542469 - 2*f.
-5*f
Collect the terms in 354 - 11*t + 2260 - 85.
-11*t + 2529
Collect the terms in 15*v**3 + 2710475902*v - 2710475902*v.
15*v**3
Collect the terms in 11*l - 645*l**3 + l**2 + 7*l**2 + 345*l**3 - 9*l + 357*l**3.
57*l**3 + 8*l**2 + 2*l
Collect the terms in 310*y + 1640*y - 15859*y - 733*y - 6276*y.
-20918*y
Collect the terms in 13642*p**3 + 13102*p**3 - 26735*p**3.
9*p**3
Collect the terms in 338008*m - 337761*m - 37800 + 37800.
247*m
Collect the terms in 188*m - 4*m**3 - 801*m + 2*m**3.
-2*m**3 - 613*m
Collect the terms in -3083*n**2 + 3078*n**2 + 165 - 168.
-5*n**2 - 3
Collect the terms in 46954*u**2 + 76086*u**2 + 78821*u**2 + u - 72241*u**2 + 90326*u**2.
219946*u**2 + u
Collect the terms in -10*r - 968833*r**3 + 968843*r**3 - 424*r**2 + 424*r**2.
10*r**3 - 10*r
Collect the terms in -18302 - 16933 + x**3 + 35235.
x**3
Collect the terms in -3 + 4 - 4259*w + 8591*w - 4 - 4291*w.
41*w - 3
Collect the terms in -8186*u + 8186*u + 620*u**2 + 644*u**2.
1264*u**2
Collect the terms in 1957030*y + 3 + 4 - 7.
1957030*y
Collect the terms in -160686 + 160686 - 7*d**2 - 81*d.
-7*d**2 - 81*d
Collect the terms in 69*b - 38*b - 55*b**2 - 92*b**2 - 3*b**2 + 19*b**2.
-131*b**2 + 31*b
Collect the terms in 100*g + 52*g**2 + 17 + 22*g**2 - 102*g.
74*g**2 - 2*g + 17
Collect the terms in -333*j - 20 - 478*j - 384*j.
-1195*j - 20
Collect the terms in -285*n**2 + 744*n**2 - 276*n**2 - 186*n**2.
-3*n**2
Collect the terms in 51 + 89*g**3 + 125*g**3 + 73 - 124 + 44*g**3 + 45*g**3.
303*g**3
Collect the terms in 2042347*l**3 + 262896*l**3 + 2484898*l**3.
4790141*l**3
Collect the terms in -7 - 7 + 299504*h**3 + 14 - 299530*h**3.
-26*h**3
Collect the terms in 112 + 160 + 2*p - 258.
2*p + 14
Collect the terms in 15974*v - 32122*v - 11 + 16144*v.
-4*v - 11
Collect the terms in -188*o + 1059*o - 2009*o.
-1138*o
Collect the terms in 612*h**2 - 1267*h**2 + 23*h - 27*h + 663*h**2.
8*h**2 - 4*h
Collect the terms in -119*h - 148*h + 5*h - 150*h + 416*h.
4*h
Collect the terms in -77*a + 408*a - 85*a - 79*a - 85*a + 807 - 81*a.
a + 807
Collect the terms in o - 4*o + 12*o - 3*o - 74144 - 5*o - 2*o**2.
-2*o**2 + o - 74144
Collect the terms in -1665*b**2 + 6656*b**2 - 1666*b**2 + 30*b**3 - 1663*b**2 - 24*b**3 - 1662*b**2.
6*b**3
Collect the terms in 632*b**3 - 5*b + b - 726*b**3.
-94*b**3 - 4*b
Collect the terms in 0 - 15126*h + 0 + 6184*h + 6948*h.
-1994*h
Collect the terms in -267*m**2 + 4*m + m**3 + 270*m**2 + 0*m.
m**3 + 3*m**2 + 4*m
Collect the terms in 30*i + 3757456 - 3757456.
30*i
Collect the terms in 2*u**3 - 92 - 29*u**2 - 2*u**3 - 15*u + 23*u**2 + 2*u**3.
2*u**3 - 6*u**2 - 15*u - 92
Collect the terms in -4*o**2 - 945 + 33*o - 11*o - 14*o - 6*o.
-4*o**2 + 2*o - 945
Collect the terms in -29016*z**3 - 29365*z**3 + 58382*z**3.
z**3
Collect the terms in -2296*a + 764*a + 768*a + 10 + 768*a.
4*a + 10
Collect the terms in 3 + 76895*o**2 + 1510920*o**2 - 3.
1587815*o**2
Collect the terms in -9*i + 17*i + 97 - i - 10*i + 0*i.
-3*i + 97
Collect the terms in 11962*f - 35882*f - 143*f**2 + 11960*f + 11959*f + 9*f**2.
-134*f**2 - f
Collect the terms in 4*u - 20 - 3*u - 2*u - 40 - 100.
-u - 160
Collect the terms in -70*n - 102*n**2 + 81*n - 69*n + 127*n - 69*n.
-102*n**2
Collect the terms in 4761*y + 1384*y + 179*y + 442*y - 135*y.
6631*y
Collect the terms in 1201*y + 1060*y - 114*y + 2232*y - 680*y.
3699*y
Collect the terms in -42 + 1894*o + 9 + 35.
1894*o + 2
Collect the terms in 5649*c**2 - 113*c**2 - 2*c + 2*c - 316*c**2.
5220*c**2
Collect the terms in -11425*n**2 - 11474*n**2 + 23626*n**2.
727*n**2
Collect the terms in -149*t - 323*t**2 - 148*t + 81*t - 28*t**2.
-351*t**2 - 216*t
Collect the terms in 337447 - 337447 + 551*v**3 - 1623*v**3.
-1072*v**3
Collect the terms in 2518630*g - 740236*g + 1771540*g.
3549934*g
Collect the terms in 566*f**3 - 73 - 2244*f**3 + 122 + 559*f**3 + 562*f**3 + 562*f**3 - f.
5*f**3 - f + 49
Collect the terms in -5*r**2 - 160*r - 14*r**2 + 615*r - 455*r.
-19*r**2
Collect the terms in -89*z**2 - 906*z**3 + 189*z**2 + 195*z**3 - 100*z**2.
-711*z**3
Collect the terms in 470*w**3 - 627*w**3 - 519*w**3.
-676*w**3
Collect the terms in -44197*f + 232 - 232.
-44197*f
Collect the terms in -93248*l**2 + 3304 + 93228*l**2 - 3304.
-20*l**2
Collect the terms in -5 - 7*p**3 - 121*p**3 - 98*p**3 - 140*p**3 - 2*p**2 + 0.
-366*p**3 - 2*p**2 - 5
Collect the terms in 862138 + 862119 + 23*l - 1724239.
23*l + 18
Collect the terms in -1192*l + 28 + 2 - 14 - 894*l - 8.
-2086*l + 8
Collect the terms in 12*q + 366*q**3 + 431*q**3 - 1006*q**3 - 4*q**2.
-209*q**3 - 4*q**2 + 12*q
Collect the terms in -13712*f**2 + 6859*f**2 - 2454*f + 6855*f**2.
2*f**2 - 2454*f
Collect the terms in 1505*l - 2*l**2 + 21464*l**3 - 1505*l.
21464*l**3 - 2*l**2
Collect the terms in -60 + 29*w**2 - 83*w**2 + 19*w**2 + 33*w**2 + 2*w.
-2*w**2 + 2*w - 60
Collect the terms in 13691*t**2 + 23*t**3 + 57*t**3 - 41061*t**2 + 13686*t**2 + 13684*t**2.
80*t**3
Collect the terms in -105647*c**2 - 62*c**3 + 105647*c**2.
-62*c**3
Collect the terms in -3*l + 1089883213*l**3 + l - 1089883214*l**3 + 0*l.
-l**3 - 2*l
Collect the terms in 51 + 4473*y**2 + 16 - 4482*y**2 - 65.
-9*y**2 + 2
Collect the terms in -3948*a**2 + 8*a**3 - 18035*a**2 + 21983*a**2.
8*a**3
Collect the terms in -429*r**2 + 247*r**3 - 480*r**3 + 239*r**3 + 0 + 0.
6*r**3 - 429*r**2
Collect the terms in 28133475*b - 28133469*b + 467 - 109.
6*b + 358
Collect the terms in -19 + 11 + 23063*a - 23119*a + 8.
-56*a
Collect the terms in 2480*j**2 + 75 + 2670*j**2 - 39 - 36.
5150*j**2
Collect the terms in d + 97006575 - 97006575.
d
Collect the terms in 137815*c**2 - 1680*c**2 - 15829*c**2.
120306*c**2
Collect the terms in -51*m**2 - 85*m**2 - 49*m**2 - 47*m**2 + 248*m**2 - 70*m**2.
-54*m**2
Collect the terms in 871*r - 1736*r + 7 + 867*r.
2*r + 7
Collect the terms in 45*q**3 - 3391*q + 1138*q + 1110*q + 1152*q.
45*q**3 + 9*q
Collect the terms in -103 + 6586*w - 16 + 119.
6586*w
Collect the terms in 514*q + 768*q - 2 + 6*q**2 + 770*q - 2052*q.
6*q**2 - 2
Collect the terms in -130*k + 86*k - 123*k.
-167*k
Collect the terms in -34158*g + 34158*g - 140*g**2.
-140*g**2
Collect the terms in -162*h - 2388*h - 2345*h - 1226*h.
-6121*h
Collect the terms in 106 + 119 + 127 + 123 + 5199*k**3 - 475.
5199*k**3
Collect the terms in -4560*t**2 - 444200*t + 444200*t.
-4560*t**2
Collect the terms in 15 + 35172*r**2 - 15 + 163724*r**2.
198896*r**2
Collect the terms in 15*r + 8*r - 1966*r**2 - 22*r - 820*r**2.
-2786*r**2 + r
Collect the terms in 0*m + 61795955*m**3 + 0*m.
61795955*m**3
Collect the terms in -67*q**2 - 9 - 78*q**2 - 76*q**2 - 76*q**2 + 280*q**2.
-17*q**2 - 9
Collect the terms in -2135*m**2 - 443 - 441 - 446 + 1330.
-2135*m**2
Collect the terms in -504*z + 164*z + 1724*z**2 + 159*z + 181*z.
1724*z**2
Collect the terms in 474*j - 437*j + 51*j + 1015*j.
1103*j
Collect the terms in 88969*j - 28625*j + 309 - 309.
60344*j
Collect the terms in 27*u + 11 - 60*u + 33*u + 690* | {
"pile_set_name": "DM Mathematics"
} |
= g - 3, -4*g - 8 = 61*j - 59*j for j.
2
Solve 2378*p = -n + 2374*p - 18, -3*n = -p - 11 for n.
2
Solve 0 = -5*i + m - 23, 2*m = -2*i + 340398 - 340400 for i.
-4
Solve 5*p + 5 = 7*q, -2*q = -53*p + 48*p - 5 for p.
-1
Solve -51 + 37 = 2*h - 4*w, 0 = -5*w + 15 for h.
-1
Solve 2*a + 21 = 417*t - 414*t, 0 = -5*a - 4*t + 28 for a.
0
Solve 4*r - 20 = -4*j, -2*r - 113 = j - 122 for r.
4
Solve 16*c = 3*y + 17*c - 7, -y + 15*c = -125 for y.
5
Solve -19 = s - 3*d, s + 11*d - 49 = 44 for s.
5
Solve 0 = 5*g - 2*t + 25, 90*t - 20 = 4*g + 94*t for g.
-5
Solve 3*m = -2*g + 7, -32*m + 31*m + 19 = 4*g for m.
-1
Solve 806*o = 5*x + 815*o + 37, -3*x - 3 = -o for x.
-2
Solve 26*f + 2 = 4*w + 27*f, -3*w + f = 16 for w.
-2
Solve 3*m - 12 = 3*r, 4353*r = 4*m + 4355*r + 2 for m.
1
Solve -16 = 53*q - 57*q + 3*n, 4*n + 8 = 2*q for q.
4
Solve 2*m - 2*n + 4*n - 80 = -96, -3*n = -3*m for m.
-4
Solve -167*h + 163*h + 44 = 3*x, -4*x - 5*h + 60 = 0 for x.
20
Solve -u + 3 = -2*r, 2*u - 9*r - 437 = -421 for u.
-1
Solve -4*u - 3*v = 573 - 573, -13 = 3*u - v for u.
-3
Solve 0 = 3*k + 2*g - 1, -5*k - g = -3*k - 0*k for k.
-1
Solve -5*s = u + 20, -3454*u + 3449*u - s - 4 = 0 for u.
0
Solve 0 = d - 5*v + 12, -20429*v + 117 = -4*d - 20432*v for d.
-27
Solve -2*i = 5*v + 3, 0 = 517*v - 512*v + 4*i - 9 for v.
-3
Solve -4*y - 13 = c, 564*c + 12 = -5*y + 567*c for y.
-3
Solve 8 - 3 = 5*n, -2*d + 2*n = 6 for d.
-2
Solve -5*y + 3*x = -9, -112*y + x - 17 = -117*y for y.
3
Solve 80 = f - 2*h + 89, 5*f = -3*h + 7 for f.
-1
Solve 44 = -4*o - 20, -5*o = -0*k - 4*k + 60 for k.
-5
Solve -18*f = -20*f - 4*t - 2, -4*t + 7 = -f for f.
-3
Solve 2*l - 10*h - 1 - 63 = 0, 2*l - 5*h - 34 = 0 for l.
2
Solve 3*l - 2*w = 7*l, 0 = -2*l - 5*w + 24 for l.
-3
Solve -1226*y - 6 = -1229*y, -2*y - 5 = -3*u for u.
3
Solve -2*v + 25 = -3*s, -29 = 4*s - 4*v + 11 for s.
-5
Solve 331*j + 15 = 326*j - v, 30 = 3*v for j.
-5
Solve -5*t + 25 = -4*v, -6*t - 1 = 3*v - 31 for v.
0
Solve 0 = -2*m - 4, -29*i = -5*i - 19*i - m - 17 for i.
3
Solve 31 = 8*z - 3*z + 3*k, -23 = -5*z + k for z.
5
Solve s = f - 3, s - 9*f = -7*f - 3 for s.
-3
Solve 13*f - 10*f = a, -13*f = -11*f - 3*a + 7 for f.
1
Solve -f - 7*i = -10*i - 8, f = -i - 4 for f.
-1
Solve -12 = -4*b - 4*f, 201*b - 202*b = 3*f - 3 for b.
3
Solve 2*u = 10*n - 44, u + 14 = 2*n + 4 for u.
-2
Solve 4*h - 293 = q - 309, -3*h + 5*q = 12 for h.
-4
Solve t + 358*f = 4*t + 355*f, -4*f + 144 = 32*t for t.
4
Solve 5*k - 5*r - 15 = 0, 14*k = 18*k + 5*r - 21 for k.
4
Solve 25 = 5*d, -4*b - 28*d = -23*d - 45 for b.
5
Solve -4*j = 3*b - 11*j - 7, j = 4*b + 24 for b.
-7
Solve -150*f = d - 146*f - 11, 0 = -2*d + 6*f - 34 for d.
-5
Solve -22*q + 20 = -3*g - 30*q, 2*q + 20 = 13*g - 10*g for g.
4
Solve 4*u = -t - 20, -t - 4 = 4*t - 4*u for t.
-4
Solve -8 = -4*x - 232*w + 230*w, 0 = 3*x + w - 4 for x.
0
Solve -2*k - 3*c + 23 = 0, -4*k = 345*c - 347*c + 26 for k.
-2
Solve -4*p + 37 = -3*s + 40, 4*p = -2*s + 22 for s.
5
Solve 2*r + 13 = -3*t, -61 = -4666*t + 4687*t - r for t.
-3
Solve 868*p - 869*p - 14 = -5*s, p = 3*s - 10 for s.
2
Solve -3*u + 22 - 19 = 5*a - 5, -3*a - 2*u + 4 = 0 for a.
4
Solve 0 = 17*i + 4*g - 106, 0 = 5*i - 4*g + 112 - 138 for i.
6
Solve 139*a - 134*a + 5*g + 35 = 0, -2*a + 10 = -4*g for a.
-3
Solve -20 = 5*m, -9*m = -3*p - 12*m - 3 for p.
3
Solve 2*v = -r - 5, -v + 7*r - 469 = -459 for v.
-3
Solve 5*a - 2*n + 21 = 0, 221 = 2*a - n + 229 for a.
-5
Solve -4*l - 48 = 0, -r + 169*l + 39 = 166*l for r.
3
Solve 2*y - v - 19 = 0, -4*v + 38 - 94 = -4*y for y.
5
Solve 2*p = n + 2, 351*n + 42*p + 26 = 355*n for n.
-4
Solve 11 = 5*b - 2*s, -62*s + 71*s = -4*b + 30 for b.
3
Solve 3*n + 4*s = 12, -42*n = -47*n - 2*s + 20 for n.
4
Solve 2*x + 11 = 3*k, 4*k + 595*x = 592*x - 42 for k.
-3
Solve -4*u - 43 = 5*q - 41, -4*u - 2*q + 4 = 0 for u.
2
Solve 6 = 3*x - 3*w, 261*w - 34 = 3*x + 266*w for x.
-3
Solve -3*r = 4*a - 65, -211 + 199 = -4*r - 0*r for a.
14
Solve m + 859 - 863 = 0, 2*b = -m + 12 for b.
4
Solve 3*q + 20 = -4*s, -34*s + 38*s + 4 = -q for q.
-8
Solve -2*m - 21 = 2*p - 1, 0 = -4*m - 20 for p.
-5
Solve 2*a = 3*y - 21, 0 = 4*y - 3*a - 45 + 16 for y.
5
Solve 0 = -4*p - 2*q + 4, -271*p = -274*p - 5*q - 11 for p.
3
Solve -219*g = -222*g + q + 14, -4*g + 2*q + 20 = 0 for g.
4
Solve -4*a + 482*v + 20 = 481*v, -4*v - 8 = 2*a for a.
4
Solve -2*j = f - 5, -8 = 14*f - 9124*j + 9126*j for f.
-1
Solve -2*g - 40 = 615*s - 613*s, -4*g + 5*s = 80 for g.
-20
Solve 5*n - 55*d + 57*d = 25, -14 = 2*n - 4*d for n.
3
Solve -3*g = d - 14, 3*d + 19 - 11 = g for d.
-1
Solve 3*h - f + 17 = 0, 39*h - 5*f + 341 = 208 for h.
-2
Solve 2*c = 4*t + 34, -c + 41 = 7*t - 12*t for c.
1
Solve -847*b = 3*l - 852*b + 7, -5*b + 11 = -4*l for l.
-4
Solve 5*o = 4*n - 10, -75*o = 3*n - 70*o + 45 for n.
-5
Solve -20 = -2923*l + 2927*l - 5*o + 30, -4*l = 3*o + 34 for l.
-10
Solve 3*r + 87 - 68 = -2*l, -45*r = l + 140 for r.
-3
Solve 5*p + 2*f - 16 = 0, 5*p - 7*f + 800 = 654 for p.
-4
Solve 24*b - 22 = 2*v + 20*b, 4*v - 3*b + 39 = 0 for v.
-9
Solve -3*x + 6*r = 7*r - 8, -3*x - 2*r = -10 for x.
2
Solve 3*j + 2*w - 1 = 0, -4*w + 188 = 2*j + 206 for j.
5
Solve 4*f + 2 = 3*r - 14, 16 = -5*r - 4*f for r.
0
Solve 5*n + 12 - 22 = 3*h, 5*h - 10 = -5*n for h.
0
Solve -6 = -2*x, 2*k - 91 = 2*x - 101 for k.
-2
Solve -2*m - 22 = 4*v, 24 = -23*v + 25*v - 4*m for v.
-2
Solve 0 = 588*t - 591*t - 2*m - 23, 0 = 4*t + 4*m + 32 for t.
-7
Solve -3*r + 5*l = 6, 2*l - 18 = -4*r - 0*l for r.
3
Solve b - 5*p + 359 - 384 = 0, -52 = -4*b - 4*p for b.
15
Solve -222*t + 227*t - 2*u - 3 = 0, -t - 5*u = -6 for t.
1
Solve -5*v - 20 = 0, 0 = 2439*j - 2435*j - 4*v - 20 for j.
1
Solve -2*k = 3*t - 43, 4*t - 98*k - 48 = -96*k for t.
13
Solve h = 20*f - 14*f, f + 2*f = 3*h for h.
0
Solve -25 = -o + 2*f - 35, -9*o + 2*f = 42 for o.
-4
Solve 73*q = 4*o + 74*q - 4, 4*o - 8 = -2*q for o.
0
Solve 44*v + 4*p + 26 = 39*v, 0 = v - 5*p - 18 for v.
-2
Solve -5*n = 283*x - 286*x - 3, n - 3 = 0 for x.
4
Solve -170*g - 14 = -171*g + 4*o, 3*g - 5*o - 14 = 0 for g.
-2
Solve -88 = -11*p + 3*x + 14, -4*p = -5*x - 41 for p.
9
Solve 9*t = 5*c + 102, -87 = -174*c + 179*c - 4*t for c.
-15
Solve 2*u + 3*v + 12 = 0, -14*v = 2*u - 10*v + 14 for u.
-3
Solve 0 = 3*l + 3*d + 6, 675*d - 680*d - 19 = 2*l for l.
3
Solve 0 = -5*x + 2*v - 3, -10*v - 13691 = 3*x - 13678 for x.
-1
Solve 2459*t - 17 = 2463*t + 3*h, 3*t = 4*h + 56 for t.
4
Solve -2*c + 22 = -5*i + 2, -4*c + 4*i + 28 = 0 for c.
5
Solve 5*o - 927*m + 925*m + 7 = 0, 3*o - 3*m = -6 for o.
-1
Solve 3*m = 13*h + 52, 5*m - 970 + 974 = -h for h.
-4
Solve -2*h - 4*p + 5*p - 2 = 0, -1 = h - p for h.
-1
Solve -10 = l + 2*z, 33 = l - 5*z + 8 for l.
0
Solve 157891*c - 2*z + 71 = 157886*c, -2*z - 19 = c for c.
-15
Solve -4*l = 3*v - 11, -33*l + 39 = 3*v - 36*l for v.
9
Solve b = -2*i + 5, -56 = b + 4*i - 61 for b.
5
Solve -2*o - 16 = -9*v, 122*o - 127*o + 5*v - 5 = 0 for o.
1
Solve 2 = 2*k + 2*y, 1711*k = 1706*k - 4*y + 8 for k.
4
Solve -9*z = 2*i + 19, -4*z - 15 + 1 = 2*i for i.
-5
Solve -70 = 3*v - 5*g - 6, 2*g + 46 = 2*v + 70 for v.
2
Solve 4*b - 15 = -3*m, -448*m + 447*m - b = -5 for m.
5
Solve -4*q = w + 3730 - 3752, -16 = -2*q + 2*w for q.
6
Solve 4*u - 54 = -2*a, -u - 401*a + 48 = -399*a for u.
2
Solve -3*u - 2*m - 5*m + 12 = 4, 3*m - 6 = 0 for u.
-2
Solve -h = -5*o - 30, 2*h - 2*o + 1697 = 1717 for h.
5
Solve -3*k = 14*f + 6, 0 = -8793*f + 8790*f for k.
-2
Solve -8*b - 4 = 2*x, 5*x + 3229*b + 10 = 3234*b for x.
-2
Solve 7*h = 4*p + 11, -2*h + 32 = -5*p + 25 for h.
1
Solve s - 11 = 32*n - 72*n + 38*n, 0 = 3*s - 2*n - 9 for s.
5
Solve 12 = -3*b + 7*a - 11*a, 9 = -4*b - 3*a for b.
0
Solve -5*c - 33 = -35*v + 39*v, -c - 15 = 2*v for c.
-1
Solve 4*m - 18 = -2*q, -64*q - 45 = -5*m - 68*q for m.
-3
Solve 4*v + 4*u - 20 = 0, 355*v - 22 = 351*v - 5*u for v.
3
Solve -7398*v + 7396*v + 8 = -2*x, 17 = 3*v - 4*x for v.
-1
Solve 14*g - 10 = -5*r + 13*g, -6*r + 2*g = -12 for r.
2
Solve -5*l + 17 = -3*m, -2*m - 414*l - 18 = -419*l for m.
1
Solve 0 = 717*h - 713*h - 5*w - 8, 6 = 3*h - w for h.
2
Solve -8*t + 26 = 2*j, 0 = -2*t + 3*j - 366 + 313 for t.
-1
Solve -5*f - 74 = -64, 12 = 2*g - f for g.
5
Solve -3*y - k + 20 = 0, 94 + 98 = -y + 5*k + 172 for y.
5
Solve -i + 5 = 2*z, 319*i - 2*z = 314*i + 25 for i.
5
Solve 0 = -4*a + n + 23, 0 = 2*a + | {
"pile_set_name": "DM Mathematics"
} |
. Let l(w) = 59105*w. Determine r(l(c)).
2541515*c
Let l(i) = -i**2. Let w(o) be the second derivative of -15*o + 0*o**4 + 0 + 0*o**3 + 1/30*o**5 + 6*o**2. Let p(f) be the first derivative of w(f). Give p(l(u)).
2*u**4
Let a(x) = 2602*x. Let z(r) = -87*r**2 - r + 5. Determine a(z(k)).
-226374*k**2 - 2602*k + 13010
Let i(p) be the second derivative of p**3/6 + 23*p - 208. Let d(z) = -3*z - 313. Calculate d(i(u)).
-3*u - 313
Let o(l) = 19*l**2 + 33*l + 14. Let a be o(-6). Let j(c) = 500 + 2*c**2 - a + 0*c**2. Let x(b) = 18*b + 2*b + 9*b. What is j(x(t))?
1682*t**2
Let k(r) = -7*r. Let y(n) = 5*n**2 + 953535*n + 2. Calculate k(y(t)).
-35*t**2 - 6674745*t - 14
Let y(j) = -4*j - 4*j**2 - j + 5*j. Let b(a) be the third derivative of -a**5/15 - 1976*a**2. Determine y(b(o)).
-64*o**4
Suppose -132 = -26*u + 4054. Let n(f) = 165*f + u*f - 320*f. Let k(d) = -6*d**2. Calculate n(k(y)).
-36*y**2
Let t(q) = 4*q**2 + 2*q - 10099. Let a(y) = 23*y - 6. Calculate a(t(g)).
92*g**2 + 46*g - 232283
Let s(z) = -70*z**2 - 3*z - 3. Let k(t) = t**2 - t - 1. Let j(f) = 3*k(f) - s(f). Let r(y) = 0*y - y - 6*y + 8*y. What is r(j(g))?
73*g**2
Let v(s) be the first derivative of 2*s**3/3 + 3. Let m(h) = -33*h - 976. Let t(u) = -u + 244. Let d(j) = -m(j) - 4*t(j). What is v(d(x))?
2738*x**2
Let t(g) = 2*g. Let l be 3 - 3/6*(1 + 1). Let y(d) = 5*d**2 - 13 + 13 - 6*d**l. Give y(t(x)).
-4*x**2
Let l(k) = 2*k**2. Let r(w) = 391*w**2 - 596*w. Calculate r(l(x)).
1564*x**4 - 1192*x**2
Let l(s) = 57*s**2 + 6390. Let h(y) = 18*y. Determine h(l(q)).
1026*q**2 + 115020
Let l(j) = 36*j. Let c(k) = 1231*k**2 + 1234*k**2 - 2456*k**2. Calculate c(l(a)).
11664*a**2
Let g(p) be the third derivative of -1/30*p**5 + 0 - 36*p**2 + 0*p**4 + 0*p**3 - 2*p. Let j(w) = -12*w. Calculate g(j(v)).
-288*v**2
Let n(b) = -84*b**2. Let x(o) = -955675*o. Give x(n(k)).
80276700*k**2
Let k(b) = -2*b. Let i(p) = 2*p**2 + 4268147. What is i(k(s))?
8*s**2 + 4268147
Let j be (5/(-3))/(120/(-144)). Let z(t) = -1 + j - 40*t + 19*t. Let k(l) = -13 - l**2 + 13. Calculate z(k(f)).
21*f**2 + 1
Let r be 0*(3 + (-15)/6)*-1. Let g(x) = 15*x + 24 - 24 + r*x. Let t(b) = -7*b**2. Determine t(g(o)).
-1575*o**2
Let g(a) be the second derivative of -44/3*a**3 - 190*a + 0 + 0*a**2. Let j(h) = -h. What is g(j(i))?
88*i
Let i(w) be the first derivative of 41*w**5/20 + 38*w**2 + 8. Let x(s) be the second derivative of i(s). Let u(r) = 2*r. Calculate x(u(p)).
492*p**2
Let s(b) = -3*b. Let l(i) = -11*i + 1. Let n be l(-9). Suppose 13*o = 412 - n. Let r(g) = -o + 24 - g**2. What is r(s(h))?
-9*h**2
Let i(v) = v - 1. Let n(t) = 4*t - 4. Let y(a) = 6*i(a) - n(a). Let q(m) be the third derivative of -m**4/24 - 18*m**2. Give q(y(p)).
-2*p + 2
Let a be (0 + 0)*(5 + -6). Suppose 8*y - 86 = -14. Let v(x) = a*x - y + 9 + 2*x. Let j(c) = -33*c. What is v(j(o))?
-66*o
Let c(p) = -85*p. Let g(q) = -707*q**2 + 332. Calculate c(g(t)).
60095*t**2 - 28220
Let v(c) = 8714*c. Let n(i) = 7193*i + 1. Calculate v(n(a)).
62679802*a + 8714
Let k(h) be the third derivative of 1/24*h**4 + 0*h + 0 + 0*h**3 - 152*h**2. Let l(i) = -i + 37. What is l(k(s))?
-s + 37
Let i(l) = -4*l. Let a(u) = -15*u**2 - 118*u - 3334. Calculate i(a(v)).
60*v**2 + 472*v + 13336
Let g be -1 + (-967)/(-6) + (-12)/72. Let l(x) = 11 - 179*x**2 - 11 + g*x**2. Let t(j) = 6*j. What is l(t(d))?
-684*d**2
Let w(s) = -5*s**2. Let f(k) = -6*k + 30214. Determine f(w(h)).
30*h**2 + 30214
Let w(k) = 4*k + 3. Let o(p) = 7*p + 5. Let g(f) = -3*o(f) + 5*w(f). Let h(c) = -31*c**2 - 11*c**2 + 37*c**2. Calculate g(h(l)).
5*l**2
Let w(v) = 33836*v**2 + 12*v - 33851*v**2 - 12*v. Let f(h) = -236*h**2. Determine f(w(l)).
-53100*l**4
Let p(w) be the first derivative of 2*w**3/3 + 10*w**2 + 57. Let o(g) be the first derivative of 0*g - 8 + 0*g**2 + 1/3*g**3. Give p(o(f)).
2*f**4 + 20*f**2
Let m(v) = 50834761*v**2 - 3. Let h(j) = 3*j. Give m(h(y)).
457512849*y**2 - 3
Let g(n) = 2*n. Let j(f) = -f**2. Let l = -84 + 84. Let a be j(l). Let o(r) = -11*r + a*r + 6*r + 8*r. Give g(o(w)).
6*w
Let c(q) = -299*q**2 - 2*q - 2. Let m(z) = 595*z**2 + 5*z + 5. Let v(h) = 5*c(h) + 2*m(h). Let k(f) = -7*f. Give v(k(j)).
-14945*j**2
Let g(x) = 34*x - 60. Let z(l) = 11*l - 19. Let a(h) = 3*g(h) - 10*z(h). Let p(n) = 11*n - 11. Let r(c) = -4*a(c) - 3*p(c). Let d(k) = -5*k**2. What is r(d(t))?
5*t**2 - 7
Let b(c) = -1282662*c. Let d(x) = -74*x**2. Determine d(b(i)).
-121746413662056*i**2
Let m(y) be the first derivative of 2*y**2 - 346. Let k(p) = 5*p**2. Let n(l) = -6*l**2. Suppose 6 + 0 = 2*s. Let v(q) = s*k(q) + 2*n(q). What is m(v(x))?
12*x**2
Let l(a) = -5*a**2. Let r(y) be the first derivative of 2*y**3/3 - 4*y**2 + 3297. Determine r(l(t)).
50*t**4 + 40*t**2
Let p(w) = -w**2 - 884605. Let t(n) = 26*n. Give t(p(m)).
-26*m**2 - 22999730
Let q(t) be the first derivative of -4*t**2 + 3. Let x(p) = -2*p**2 - 4*p + 8. Let m be x(-3). Let o(j) = -4*j**2 - 2*j**m + 2*j**2 + 2*j**2. What is q(o(f))?
16*f**2
Let k(o) = -22377*o**2 + 3. Let g(l) = -5*l + 60. Determine g(k(h)).
111885*h**2 + 45
Let l(g) = 3*g + 8*g - 82*g**2 - 11*g. Let p(v) be the second derivative of v**3/3 + 11*v. What is p(l(a))?
-164*a**2
Let c(j) = 23*j**2. Let f(w) = -51554 - 5*w + 51554. What is f(c(m))?
-115*m**2
Let j(h) = -3*h**2. Let y(p) = 16*p + 30. Let q(f) = -5*f - 10. Let u(m) = -7*q(m) - 2*y(m). Determine u(j(w)).
-9*w**2 + 10
Let u(p) = 1736*p**2 - 92 - 91 - 98 + 372 - 93. Let d(x) = -x. What is u(d(z))?
1736*z**2 - 2
Suppose -28*n = -13*n - 210. Let f(m) = -11*m - m + n*m. Let h(q) = -22*q - 15*q + 12*q. Give h(f(b)).
-50*b
Let f = -10 + 317. Let l(r) = -f*r + 308*r + 5 - 5. Let k(o) = -5*o + 1. What is k(l(g))?
-5*g + 1
Let r(f) = 1268*f + 1271*f + 1275*f - 3812*f. Let u(g) be the first derivative of -28*g**2 + g - 5. Give r(u(i)).
-112*i + 2
Let f(o) = 79*o - 1. Let q(j) be the third derivative of -7*j**4/24 + 3*j**2 - 81*j + 1. Determine f(q(t)).
-553*t - 1
Let g(c) = -5*c + 514462 - 514462. Let y(t) = -t**2 + t + 1. Let q(v) = -264*v**2 + 242*v + 242. Let u(z) = 2*q(z) - 484*y(z). Determine g(u(m)).
220*m**2
Let b(l) = 5421*l. Let o(s) = 7*s**2 + s - 14. Determine b(o(q)).
37947*q**2 + 5421*q - 75894
Let m(s) = -3*s + s**2 + 5*s**2 + 3*s. Let c(x) be the third derivative of -7*x**4/12 + 13180*x**2. Determine c(m(q)).
-84*q**2
Let n(l) = -122*l - 4. Let g(u) = 162*u + 5. Let k(t) = -4*g(t) - 5*n(t). Suppose -2*v - 2*v + 44 = 0. Let y(a) = -v*a + 2*a**2 - 3*a**2 + 11*a. Give k(y(w)).
38*w**2
Let p(z) = -1578*z - 14. Let d(i) = 944426*i + 8380. Let n(r) = -7*d(r) - 4190*p(r). Let y(k) = 18*k**2. Calculate n(y(h)).
15084*h**2
Let l(c) = -c - 23. Let m(f) = -f - 18. Let v(d) = 3*l(d) - 4*m(d). Let r(w) = 2. Let x(k) = 4*r(k) - 3*v(k). Let n(o) = -7*o**2. What is x(n(y))?
21*y**2 - 1
Let i(u) = -22*u. Let f be 0 + (7 - 9) + 10. Let y(w) = -14*w. Let z(o) = f*y(o) - 5*i(o). Let h(n) = -223*n**2. What is z(h(p))?
446*p**2
Let k(b) = -15*b. Let j(d) = 19 + 18 + 19 - 27*d + 103*d - 55. What is j(k(g))?
-1140*g + 1
Let d(q) = -19*q + 43. Let r(b) = -378*b + 854. Let i(w) = 119*d(w) - 6*r(w). Let f(g) = 5*g**2. Determine f(i(v)).
245*v**2 - 490*v + 245
Let n(r) = 45*r**2. Let u = 165 + -139. Let v(l) = -u + 15 + 3*l + 11. Determine v(n(a)).
135*a**2
Let y(x) be the second derivative of -277*x**4/6 - 12*x + 7. Let b(w) = -w**2. Give y(b(r)).
-554*r**4
Let w(x) be the third derivative of -5*x**4/4 - 2*x**3/3 - 2*x**2 - 3*x + 17536. Let h(z) be the third derivative of -z**5/60 + z**2. Give w(h(k)).
30*k**2 - 4
Let s(u) = -16 - 12 + 0*u + 32 + 2*u + u. Let q(i) = i**2 - 2. Let j(p) = 3*p**2 - 7. Let g(t) = 2*j(t) - 7*q(t). Determine s(g(w)).
-3*w**2 + 4
Let w(n) = 19*n**2 + 13*n + 2746. Let l(k) = 2*k. Determine w(l(x)).
76*x**2 + 26*x + 2746
Let i(n) = -7*n. Let a(r) = -29376*r**2 + 680*r. Calculate i(a(u)).
205632*u**2 - 4760*u
Let n(v) = -133*v**2 + 7. Let p(o) = 295 - 170 - 125 - o. What is n(p(q))?
-133*q**2 + 7
Let x be -80*(2 - (-25)/(-10)). Suppose u - x = -g - g, 5*g - 52 = -u. Let o(j) = u*j + 5*j - 2*j. Let r(i) = i**2. Calculate r(o(d)).
1225*d**2
Let z(l) be the first derivative of 5*l**2/2 + 3*l + 34. Let w(m) = -28*m - 17. Let p(r) = 6*w(r) + 34*z(r). Let d(u) = 261*u**2. Determine p(d(x)).
522*x**2
Let i(p) = p. Let s(o) = -148302*o. L | {
"pile_set_name": "DM Mathematics"
} |
z**3 - 4*r**2*z**3 wrt r?
-6*i**3*z**2 - 8*z**3
What is the derivative of -34*n**3*y - 13*n**3*z + n**3 + n**2*y*z - 2*n**2*z wrt y?
-34*n**3 + n**2*z
Find the third derivative of -48*a**3 - 349*a**2 wrt a.
-288
Differentiate 13*a*m*w**2 + a*m*w - a*m - 2*a*w - 2*a + 5*m with respect to w.
26*a*m*w + a*m - 2*a
What is the second derivative of 2*b*d**3*o**3 - 3*b*d**3*o + 1016*b*d**2*o**2 - 2*b + 203*o wrt o?
12*b*d**3*o + 2032*b*d**2
What is the first derivative of 813*i**3 - 750?
2439*i**2
What is the second derivative of 186*f**5 - 336*f?
3720*f**3
What is the second derivative of -11*g**3 + 19*g**2 + 99*g?
-66*g + 38
Differentiate -2*b**2*d*r - 11*b**2 + 87*b*d*r + 4*r with respect to d.
-2*b**2*r + 87*b*r
What is the third derivative of 2*f**6 - 70*f**4*x + f**2*x - 2*f*x - 965*f wrt f?
240*f**3 - 1680*f*x
What is the third derivative of 178*q**3 - 609*q**2 wrt q?
1068
What is the third derivative of -156*z**6 - z**5 - 158*z**2 + 2*z wrt z?
-18720*z**3 - 60*z**2
What is the third derivative of 25180*l**3 - 964*l**2 - 6*l wrt l?
151080
Find the second derivative of -98*d**2*f**2 - 18*d**2*f*z**2 - 5*d**2 + 5*d*f**2 + 7*d*f*z**2 - 13*f**2*z**2 + f**2*z wrt z.
-36*d**2*f + 14*d*f - 26*f**2
Find the third derivative of -2*c**4*v**2 + 7*c**4 - 194*c**3*v**2 + 241*c**2*v**2 + c wrt c.
-48*c*v**2 + 168*c - 1164*v**2
Find the first derivative of -r**4 + 58*r**2 - 52.
-4*r**3 + 116*r
Find the first derivative of b*h**2*s*y + b*h**2*s - 2*b*h*s*y + 3*h**2*s + h**2*y - 2*h*s - 3*y wrt b.
h**2*s*y + h**2*s - 2*h*s*y
What is the derivative of -4*c**2 - 118*c + 697?
-8*c - 118
Find the second derivative of 118*l**5 - 143*l.
2360*l**3
Differentiate 464*l**4 + 993 with respect to l.
1856*l**3
What is the third derivative of 847*v*x**4 - 2214*v*x**2 - x**6 wrt x?
20328*v*x - 120*x**3
Differentiate -11*h**4 - 13*h*i**3 - 2*i**3 - 2 wrt h.
-44*h**3 - 13*i**3
Find the first derivative of 171*h**2*p**3 - 2*h**2*p - 1039*h**2 wrt p.
513*h**2*p**2 - 2*h**2
Find the first derivative of -5*b**2*t**2 + 18*b**2*t - 2*b*t - 10*t**2 - 1 wrt b.
-10*b*t**2 + 36*b*t - 2*t
What is the third derivative of -6*o**3*p**2 + 2*o**3*p*r - 2*o**3*r - 9*o**2*p + p**2*r + 34*r - 1 wrt o?
-36*p**2 + 12*p*r - 12*r
Find the first derivative of -21*h*w - 366*h - 13*w**3 wrt w.
-21*h - 39*w**2
Find the third derivative of -7*a**5 + 19*a**2 wrt a.
-420*a**2
What is the second derivative of -m**2*y**2 - 5*m**2 + 5*m*y**2 + 3*m*y - 4*y wrt y?
-2*m**2 + 10*m
Find the second derivative of -7394*r**2*s + r**2 + 20*r*s + 11*r - 3*s - 4 wrt r.
-14788*s + 2
Find the second derivative of 5*a**4*l - 4*a**4 + a**3*l**3 - 3*a*l**3 - 46*a + 3 wrt a.
60*a**2*l - 48*a**2 + 6*a*l**3
Find the third derivative of h**2*u**3 - 33*h**2*u + 3*h*u**3 - 3*h*u**2 + 26*u**3 + 33*u**2 wrt u.
6*h**2 + 18*h + 156
Find the second derivative of -899*v**2 + 4*v + 39.
-1798
Find the second derivative of r**4 - 3569*r**3 + 13910*r wrt r.
12*r**2 - 21414*r
Differentiate -3*g*l*q**2 - 287*g*q**2 - 171*l*q**2 + 2*l with respect to g.
-3*l*q**2 - 287*q**2
Find the third derivative of 2*b*j**3 + 2*b*j**2*l**3 - 326*j**3*l**3 + 5*j**3*l**2 - 292*j**2*l**3 wrt j.
12*b - 1956*l**3 + 30*l**2
What is the second derivative of -20*y**5 - 883*y wrt y?
-400*y**3
Find the second derivative of -8*r**4 - 121*r**3 - r**2 - 766*r.
-96*r**2 - 726*r - 2
Find the second derivative of 170*o**2 - 2*o + 20.
340
What is the derivative of f**2*m**2 - 86*f*m - 2*m**2 + 2*m wrt f?
2*f*m**2 - 86*m
Find the second derivative of 36*a**3*d**2 - 6*a**3*d - 17*a**3 + 6*a*d**3 + 2 wrt d.
72*a**3 + 36*a*d
What is the derivative of 68*h**3*s - h**3 + 88*h*p**3 - 2*p**3*s wrt s?
68*h**3 - 2*p**3
What is the second derivative of -1040*j**4 - j**3 + 2654*j wrt j?
-12480*j**2 - 6*j
Differentiate 5*i**2*k**2 - 42*i**2*k - 564*i**2 with respect to k.
10*i**2*k - 42*i**2
Find the first derivative of 2*d**2 - 50*d*f**2*p - 25*d*p**3 + 3*f**2*p**3 - f**2 + 45*p**3 - 1 wrt d.
4*d - 50*f**2*p - 25*p**3
Find the first derivative of -l**2*t**2 + 795*l*t + 2*t**2 - 715*t wrt l.
-2*l*t**2 + 795*t
What is the derivative of 283*f*y**4 - 5*f*y**2 + 2*f + 6874 wrt y?
1132*f*y**3 - 10*f*y
Find the third derivative of -12*i**3*t**2 + 130*i**3*t + 2*i**3 + i**2 + 2*t**2 - 1140*t wrt i.
-72*t**2 + 780*t + 12
What is the second derivative of h*o**2*y*z + 2*h*o**2*y - h*o*y + 4*h*o + 2*h*y*z - 4*o**2*y*z - 5*o**2 - 2*o*y*z - 3*z wrt o?
2*h*y*z + 4*h*y - 8*y*z - 10
What is the second derivative of 80*b*t**2 - 6*b*t - 2*b - 2*t**2 - 5*t wrt t?
160*b - 4
Find the second derivative of -174*d*n**4 - 11*d - 2*n**3 + 31*n - 1 wrt n.
-2088*d*n**2 - 12*n
Find the third derivative of -4730*u**5 + 2*u**2 + u - 250.
-283800*u**2
Find the first derivative of d*f*i**3 + d*f*i*l**2 - 3*d*i**3*l + d*l**2 + 166*f*i**3*l + i**3 + 3*i wrt f.
d*i**3 + d*i*l**2 + 166*i**3*l
Find the second derivative of 4981*i**3 - 2414*i wrt i.
29886*i
Differentiate -f*j**3 - 303*f*j*z**3 - f*z**3 - 151*j**3*z**3 + 2*j**3*z**2 - 2*j**3*z wrt f.
-j**3 - 303*j*z**3 - z**3
What is the second derivative of -13850*o**2 + 12959*o wrt o?
-27700
What is the second derivative of 542*i**2*p**2*s**2 - i*p**2*s**2 - 47*i*p*s**2 - 2*s**2 wrt i?
1084*p**2*s**2
Find the first derivative of -3*b**2*i*t + 28*b*i**3*t - b*i**2*t - 46*i**3*t + 12*t wrt b.
-6*b*i*t + 28*i**3*t - i**2*t
Find the first derivative of -11*r**4*t + 16*r**2*t + 329*t wrt r.
-44*r**3*t + 32*r*t
Find the third derivative of 85*b**3*t*x**2 + 3*b**3*t + b**2*t + b*t*x**2 - 2*b*t + 2*t wrt b.
510*t*x**2 + 18*t
Differentiate 235*c**3*r**3 + 222*c**3 with respect to r.
705*c**3*r**2
What is the third derivative of 438*y**6 - 2*y**3 + y**2 - 651*y?
52560*y**3 - 12
What is the third derivative of 35*c**3*p**3 + 45*c**3 + 72*c*p**4 + c*p + 3*p**2 - p wrt p?
210*c**3 + 1728*c*p
Find the second derivative of -4*b**2*r**3 + 336*b**2*r - b**2 + 2*b*r**3 + 136*r**3 wrt r.
-24*b**2*r + 12*b*r + 816*r
What is the second derivative of -750*q**4 - 102*q - 3 wrt q?
-9000*q**2
What is the third derivative of -27*m**5 + 72*m**4 - m**2 + 60*m - 8?
-1620*m**2 + 1728*m
What is the second derivative of -3*m**4 - 92*m**3 + 2*m + 49?
-36*m**2 - 552*m
What is the second derivative of -8*l*o**2 - 3*l*o - 72*l + 28*o**4 wrt o?
-16*l + 336*o**2
Find the third derivative of 7*q**2*w*y**3 + 2*q**2*w*y**2 + 137*q**2*y + q*w*y**2 - 29*q*y**3 wrt y.
42*q**2*w - 174*q
Find the third derivative of -909*m**3 + 70*m**2 + 3 wrt m.
-5454
Find the second derivative of -106*g**3 - 35*g**2 - 6183*g wrt g.
-636*g - 70
Find the second derivative of 82*z**5 - 2*z**2 + 748*z wrt z.
1640*z**3 - 4
What is the derivative of -268*p - 116?
-268
Find the third derivative of -5052*v**3 - 5*v**2 + 73*v - 6.
-30312
What is the first derivative of f*j**2*v**2 - 2*f*j**2 + f*j + 2*f*v**2 - 1223*f*v - 6930 wrt v?
2*f*j**2*v + 4*f*v - 1223*f
Differentiate -3784*y - 702 wrt y.
-3784
Find the second derivative of 1963*w**3 + 1208*w.
11778*w
Find the first derivative of -1281*i + 366 wrt i.
-1281
Find the second derivative of 5*j*r**2*w**2 + 364*j*r**2 + 3*j*r*w**2 - 2*j*r*w + 4*j*w**2 + j wrt w.
10*j*r**2 + 6*j*r + 8*j
Find the second derivative of -29*p**5 + 11*p wrt p.
-580*p**3
Find the third derivative of 110*o**5 + o**3 - 1619*o**2 wrt o.
6600*o**2 + 6
Find the second derivative of 67*h**5 + 8*h**3 + 8*h + 20.
1340*h**3 + 48*h
What is the derivative of 2*d**3 - 2*d**2 - 1755*d - 3383?
6*d**2 - 4*d - 1755
What is the second derivative of -70*s**3*t**2*z**2 - 3*s**3*t*z**3 + s**3*t + 2*s**2*t + 124*s*z - 63*t**2*z**3 wrt t?
-140*s**3*z**2 - 126*z**3
Find the first derivative of -7319*c**2*k - 21*c**2 + c*k**2 - 227 wrt k.
-7319*c**2 + 2*c*k
What is the second derivative of 102*t**2 - 212*t wrt t?
204
Find the third derivative of -27*d*k**5 + 8*d*k**4 + d*k + 6*k**2 wrt k.
-1620*d*k**2 + 192*d*k
What is the second derivative of 58*g**2*v**3 - g*v**3 - g*v**2 - 5*v**3 wrt g?
116*v**3
Find the third derivative of 102*q**3*r**3 - q**2*r**3 + 2*q*r**3 + 48*r**2 wrt q.
612*r**3
What is the derivative of -1365*x**3*z + 2*x*z**3 + 209*z**3 wrt x?
-4095*x**2*z + 2*z**3
Differentiate -581*h + 1185.
-581
What is the second derivative of 14*c**4*s + 2*c**4 + 4*c**3*s - 4*c + 3*s + 6 wrt c?
168*c**2*s + 24*c**2 + 24*c*s
Find the | {
"pile_set_name": "DM Mathematics"
} |
b(f) = f**2 + 2*f - 11. Let w be b(-5). Suppose -a + w = -0*a. Factor -t**5 - 5*t**3 + 5*t**3 - 2*t**a + t + 2*t**2.
-t*(t - 1)*(t + 1)**3
Let x(k) be the third derivative of k**7/210 + 13*k**6/60 + 3*k**5 - 25*k**4/3 - 2000*k**3/3 + 34*k**2. Find d, given that x(d) = 0.
-10, 4
Let j(q) = 7*q**3 - 13*q**2 - 11*q + 31. Let n(f) = -3*f**3 + 6*f**2 + 5*f - 16. Let u(a) = -2*j(a) - 5*n(a). Factor u(l).
(l - 3)**2*(l + 2)
Suppose -a + 17 = -3*l - 0, -12 = 3*l. Suppose -12 = -3*y - 2*k - a, 0 = 2*y - k - 7. Factor -y*c**4 + 11*c**4 - 9*c**3 - 11*c**4.
-3*c**3*(c + 3)
Let h(j) be the third derivative of j**5/120 + j**4/3 + 19*j**2. Factor h(w).
w*(w + 16)/2
Let z(g) = -15*g**3 - 30*g**2 - 75*g - 40. Let c(y) = y**3 - y**2 - 2*y - 2. Let m(t) = -10*c(t) - z(t). Suppose m(n) = 0. Calculate n.
-4, -3, -1
Let w(c) = c**2 + 6*c - 5. Let l be w(-8). Suppose 7*g + l - 25 = 0. Suppose 0 - 1/4*a + 3/2*a**3 + 3/4*a**5 - g*a**4 + 0*a**2 = 0. Calculate a.
-1/3, 0, 1
Factor -2/7*d**5 + 0 + 24/7*d**4 + 64/7*d**2 - 72/7*d**3 + 0*d.
-2*d**2*(d - 8)*(d - 2)**2/7
Suppose -20*d + 14*d = -18. Let z(y) = 4*y**4 - y**3 + y - 1. Let l(m) = 9*m**4 - m**3 - m**2 + m - 1. Let b(u) = d*l(u) - 7*z(u). Determine q so that b(q) = 0.
-1, 1, 2
Suppose 2*y - 4 = 2*s - s, s + y - 11 = 0. Factor 2*d - s - 2 - d**2 + 7 + 0.
-(d - 1)**2
Let f = 249 + -247. Let j(b) be the second derivative of -b**3 + 3/10*b**6 - 5*b + 0 + 3/2*b**f - b**4 + 3/10*b**5. Factor j(r).
3*(r - 1)*(r + 1)**2*(3*r - 1)
Let x be ((-18)/(-12))/((-3)/(-4)). Suppose -j + 8 = 3*j. Determine p so that p**x - j*p + 3 + 0*p**2 - 2*p = 0.
1, 3
Let j(u) be the second derivative of u**5/4 - 10*u**4/3 - 95*u**3/6 - 25*u**2 + 8*u - 9. Factor j(m).
5*(m - 10)*(m + 1)**2
Let d be (50/(-8) - -6)/((-5)/24). Solve -4/5*w**3 + d*w + 4/5 - 6/5*w**2 = 0 for w.
-2, -1/2, 1
Suppose 0 = 2*z - z - 2. Let u(p) be the first derivative of -1/2*p**4 + 0*p + 2/3*p**3 + z*p**2 + 4. Factor u(b).
-2*b*(b - 2)*(b + 1)
Let f(j) be the third derivative of -j**7/105 - j**6/20 + j**5/6 + j**4/4 - 4*j**3/3 + 42*j**2 - j. Factor f(s).
-2*(s - 1)**2*(s + 1)*(s + 4)
Let k(n) = -14*n**2 + 552*n - 132. Let c(r) = 43*r**2 - 1654*r + 393. Let j(f) = 4*c(f) + 11*k(f). Determine p so that j(p) = 0.
2/9, 30
Suppose -1288*j + 644*j + 651*j - 21 = 0. Factor 14/5*i + 1/10*i**5 + 4/5*i**4 + 5/2*i**j + 4/5 + 19/5*i**2.
(i + 1)**2*(i + 2)**3/10
Let t(g) be the third derivative of -g**7/210 + g**6/90 + g**5/30 - g**4/6 + 3*g**3 - 3*g**2. Let l(u) be the first derivative of t(u). Factor l(w).
-4*(w - 1)**2*(w + 1)
Let w(a) be the first derivative of a**6/45 - a**4/15 + a**2/15 + 149. Let w(p) = 0. Calculate p.
-1, 0, 1
Let v(d) be the third derivative of -3*d**7/140 + 7*d**6/80 + 3*d**5/20 - 62*d**2. Find w such that v(w) = 0.
-2/3, 0, 3
Let f(n) = n**2 - 185*n - 181. Let b(t) = 184*t + 180. Let x(d) = 5*b(d) + 4*f(d). Let x(q) = 0. What is q?
-44, -1
Let p be 6 + 11/(-4) + 45/(-18). Suppose 0 - p*u**2 - 1/2*u = 0. What is u?
-2/3, 0
Factor 114/5*b + 0 - 3/5*b**2.
-3*b*(b - 38)/5
Let a(n) be the first derivative of n**4/24 - n**3/12 - n**2/2 + 11*n - 30. Let s(v) be the first derivative of a(v). Factor s(m).
(m - 2)*(m + 1)/2
Let c(f) be the first derivative of -2/21*f**3 + 0*f + 30 - 1/7*f**2. Factor c(l).
-2*l*(l + 1)/7
Let b(x) be the second derivative of x**5/5 - 10*x**4/3 - 46*x**3/3 - 24*x**2 + 72*x. Factor b(f).
4*(f - 12)*(f + 1)**2
Let 35*x**2 + 480 - 12*x**2 - 18*x**2 + 100*x = 0. What is x?
-12, -8
Let k(a) be the second derivative of 3*a**5/20 + a**4/2 - 5*a**3/2 - 9*a**2 - 206*a. Factor k(v).
3*(v - 2)*(v + 1)*(v + 3)
Let b be (-200)/(-35) + 4 - 2/(-7). Let x**5 - 14*x**3 - 3*x**5 + 7*x**2 - b*x**4 - 5*x**2 - 8*x**2 = 0. What is x?
-3, -1, 0
Let v = 21313/650 + -1971/50. Let o = -55/13 - v. Let 16/5 - o*g**2 - 24/5*g + 14/5*g**3 + 6/5*g**4 = 0. What is g?
-2, 2/3, 1
Let w(x) be the third derivative of -x**7/525 - x**6/75 - x**5/150 + x**4/10 + 4*x**2 + 12*x. Factor w(v).
-2*v*(v - 1)*(v + 2)*(v + 3)/5
Let a(j) = -4*j**5 - 28*j**4 - 62*j**3 + 10*j**2 + 90*j - 2. Let c(l) = l**5 - 2*l**3 - l**2 - l + 1. Let u(w) = a(w) + 2*c(w). Suppose u(f) = 0. What is f?
-11, -2, 0, 1
Suppose 2*g - 4*b = 6, 51 = 3*g + 2137*b - 2136*b. Determine l so that -5/3*l**2 - g - 10*l = 0.
-3
Let w be (-6)/(-4*(-18)/(-168)). Let h(y) be the first derivative of 0*y + w - 2/15*y**3 + 2/5*y**2. Let h(a) = 0. Calculate a.
0, 2
Suppose 62 = -2*o - 4*b, -7*o + 2*o + 4*b = 85. Let s = o - -31. Factor s*d**2 - 5*d**2 - 2*d + 6*d + d.
5*d*(d + 1)
Let k be -4*30/288*4/(-7). Let n = k + 1/3. Let 0 - n*c**3 - 4/7*c**5 + 0*c**2 + 8/7*c**4 + 0*c = 0. What is c?
0, 1
Let s(c) be the second derivative of -c**5/10 - 4*c**4/3 + 10*c. Suppose s(m) = 0. What is m?
-8, 0
Let y(d) be the third derivative of -1/280*d**7 + 3/8*d**4 + 0 + 3/80*d**6 - 1/2*d**3 - 13/80*d**5 + 0*d - 22*d**2. Determine m so that y(m) = 0.
1, 2
Let b(i) be the first derivative of -i**3/21 + i**2 - 7*i + 85. Suppose b(v) = 0. Calculate v.
7
Let j(f) be the first derivative of -1/9*f**2 + 4/9*f + 24 + 1/18*f**4 - 4/27*f**3. Solve j(g) = 0.
-1, 1, 2
Let d(x) be the first derivative of -5*x**3/3 + 30*x**2 - 55*x - 62. Determine c, given that d(c) = 0.
1, 11
Let r be -1 - 3/1 - -7. Factor 3*b**4 + 757*b**2 - r*b**5 - 757*b**2.
-3*b**4*(b - 1)
Let r(t) be the third derivative of -1/60*t**6 + 14*t**2 + 2/3*t**3 - 1/6*t**5 + 0*t + 1/35*t**7 + 1/12*t**4 + 0. What is m in r(m) = 0?
-1, -2/3, 1
Let a(t) be the third derivative of 7*t**6/600 - 33*t**5/50 + 49*t**4/24 - 9*t**3/5 + t**2 + 12. Suppose a(x) = 0. What is x?
2/7, 1, 27
Let g(p) be the first derivative of -7*p**3/9 - 104*p**2/3 + 20*p + 86. Factor g(s).
-(s + 30)*(7*s - 2)/3
Let a be (15 + -6 - 6) + 3/15. Solve -4/5*s**5 - a*s + 8/5*s**4 + 0 + 12/5*s**3 - 16/5*s**2 = 0.
-1, 0, 2
Suppose -62*t - 22 + 40 = -168. Factor a**2 - 1/4*a**t - 1 + 1/4*a.
-(a - 4)*(a - 1)*(a + 1)/4
Let g(b) be the second derivative of -b**4/12 + b**3/6 - b**2/2 + 14*b. Let q(y) = -12*y**2 - 3*y - 9. Let z(c) = -9*g(c) + q(c). Let z(a) = 0. Calculate a.
-4, 0
Let a = -5/766 - -6153/3830. What is i in a*i + 0 + 2/5*i**2 = 0?
-4, 0
Let i(l) be the first derivative of -l**4 - 8*l**3/3 + 2*l**2 + 8*l + 42. Factor i(f).
-4*(f - 1)*(f + 1)*(f + 2)
What is m in 21/2*m + 0 - 3/2*m**2 = 0?
0, 7
Suppose 2*n - 10 = -2*b, -5*b = 5*n - 6*n - 19. What is z in 4*z - z**4 + 7*z**3 - z**3 - 35*z**2 - 2*z**5 + 25*z**2 + 3*z**b = 0?
-2, 0, 1
Let t(l) be the third derivative of -25/24*l**4 - 1/12*l**5 + 0 + 0*l + 9*l**2 - 10/3*l**3. Factor t(k).
-5*(k + 1)*(k + 4)
Suppose -5*j = 3*u - 8, -4*u - j + 3 = -2*j. Factor -27*r**3 + u + 3 + 25*r**3 - r**2 + 8*r.
-(r - 2)*(r + 2)*(2*r + 1)
Let i(h) = -h**2 + h. Let u(g) = -g**3 + g**2 + g + 1. Let l(y) = 8*y**3 - 18*y**2 + 5*y - 5. Let z(m) = l(m) + 5*u(m). Let a(r) = 4*i(r) - z(r). Factor a(f).
-3*f*(f - 2)*(f - 1)
Let u(x) be the second derivative of -1/35*x**5 + 0*x**3 + 0*x**2 + 0*x**4 + 17*x + 0. Suppose u(y) = 0. What is y?
0
Let a(z) = -9*z**2 + 17*z + 2. Let k(p) = p**2 - p - 2. Let v(r) = -5*a(r) - 40*k(r). Factor v(w).
5*(w - 7)*(w - 2)
Let v(z) be the third derivative of z**8/24 + z**7/21 - 23*z**6/60 - z**5/30 + 4*z**4/3 - 4*z**3/3 - 61*z**2. Solve v(w) = 0.
-2, -1, 2/7, 1
Let n(d) be the first derivative of -1/6*d**2 + 28 + 1/24*d**4 + 0*d - 1/18*d**3. Determine s so that n(s) = 0.
-1, 0, 2
Factor -59/4*g - 15/2*g**2 + 1/2.
-(g + 2)*(30*g - 1)/4
Suppose -2*a + 22 = -0*a. Let y(c) = -c**2 + 10*c + 11. Let w be y(a). Factor 2*h**2 + w + 8*h + 7 - 1.
2*(h + 1)*(h + 3)
Determine u, given that 3*u + 70*u**2 - 77*u**2 + 6 + 5*u**3 - 8*u - u**4 + 2*u**4 = 0.
-6, -1, 1
Let d(q) be the third derivative of 1/105*q**7 + 36*q**2 - 1/140*q**6 - 1/30*q**5 + 0 + 5/1176*q**8 - 1/42*q**4 + 0*q**3 + 0*q. Let d(z) = 0. Calculate z.
-1, -2/5, 0, 1
Let g = -281 + 2249/8. Let s(j) be the first derivative of 1/2*j**3 - 7 + g*j**4 + 1/2*j + 3/4*j**2. Find x, given that s(x) = 0.
-1
Suppose h - 3*h + 6 = 0. Let f be (-5)/6 + 1 + (-322)/(-84). Find g, given that 0*g**4 - 1 - 2*g + 2*g**h + g**f + 0*g**3 = 0.
-1, 1
Factor -2/9*j**3 - 2/9*j**2 + 4/9*j + 0.
-2*j*(j - 1)*(j + 2)/9
Determine d so that 0*d**2 + 5*d**2 - 171 + 200*d + 109 - 143 = 0.
-41, 1
Let n = 111 + 15. Let m be ((-6)/(-4))/(n | {
"pile_set_name": "DM Mathematics"
} |
-15)/12). What is the second smallest value in p, 2, -2, c?
-2
Let k = 2213.3 - 2213. Which is the third biggest value? (a) 3/5 (b) -7 (c) -0.1 (d) k
c
Let u = -4979/5 + 29869/30. Let y(j) = j**2 - 4*j + 3. Let k be y(3). Which is the biggest value? (a) 17 (b) -3 (c) k (d) u
a
Let o = -6 - -5.6. Let t be (-364)/17056 + 7/(-56). Which is the second biggest value? (a) o (b) 0.2 (c) t
c
Let n = 430837 + -430833. Let b = -19 - -27. Let l be ((-10)/b)/((-2)/(-8)). What is the biggest value in l, 5, n, -3?
5
Let x(y) = -y**3 - 27*y**2 - 24*y - 643. Let u be x(-27). Let m = -1.4 + 4. Let o = m + -6.6. What is the third smallest value in -2/5, -1, u, o?
-2/5
Let y = 5.08 - 0.08. Let z = 3.649 + -3.58. Let v = -0.109 + z. What is the biggest value in y, -3, v?
y
Let v = -0.164 + 0.264. Let s = -141 - -1271/9. What is the third smallest value in 2, s, v, 10/9?
10/9
Suppose -3*k + 5*h + 9 = 0, k - 12 = -3*k - 2*h. Let d be 15*(-4)/12*6/45. Let w = -0.1 + 0.3. Which is the second smallest value? (a) d (b) w (c) k
b
Let c = 2139 - 2139.3. What is the third biggest value in -8, -41, -0.2, c?
-8
Let h be ((-4064)/18)/(-95 + 97). Suppose -u = -3*u + 226. Let j = h + u. What is the biggest value in -0.02, 2/7, j?
2/7
Let w = -590.2 + 588.2. Which is the second biggest value? (a) -2/17 (b) 1/7 (c) -662 (d) w
a
Let s = -139.026 - -138.926. Let z = 0.4 - 0.1. What is the fourth smallest value in -0.3, z, 0, s?
z
Let c = 7/443 - 921/2215. What is the biggest value in 15, 1, 0.026, c?
15
Let w be 2/4 + 525/30. Let y be -20*(4/(-16))/((-3)/w). Let i be (1/(-2))/(y/(-12)). Which is the smallest value? (a) 0.4 (b) i (c) -3/11
c
Let g be 20/25 + (-1610)/200 - -7. Which is the second smallest value? (a) -2/13 (b) 13 (c) -0.8 (d) g
d
Let f = -2695 + 10779/4. Which is the second smallest value? (a) f (b) 1 (c) 4 (d) 0.4
d
Let u be 28/(-84)*(5 + 132/(-28)). Let f = -10 - -2. Which is the third biggest value? (a) 5 (b) f (c) -0.4 (d) u
c
Let n(w) = -13*w + 57. Let v be n(9). Let s be 6 + 606/v - -5. Which is the second biggest value? (a) 1 (b) -4 (c) s
c
Let q = -169 + 161.3. Let z = -6.7 - q. Let i = -4 + 3.9. Which is the biggest value? (a) 14 (b) z (c) 1/3 (d) i
a
Let r = 1.4 + -1.71. Let w = -1.31 - r. Let h = -59/3 + 19. What is the biggest value in w, h, 4?
4
Let w = 1.7 + -1.7. Let h = 5.78 + -0.49. Let r = h + -0.29. What is the third biggest value in r, 6, w?
w
Let p be (3 - 115/45)*12/24. Which is the third smallest value? (a) -0.4 (b) -1 (c) p (d) -7
a
Let z = -2.3 + -0.7. Let f = 0.0823 + -0.2823. What is the third biggest value in f, 2/3, z, -1/7?
f
Suppose 454 = -6*p - 1982. Let o = 1625/4 + p. Let v = -3 + 0. Which is the smallest value? (a) v (b) 22 (c) o (d) -4/7
a
Let z = 13358 - 13324. What is the smallest value in -5, 2/15, z, -3?
-5
Let i = -0.62 + 1.62. Let w = 0.22 + -22.52. Let n = w + 22. Which is the third biggest value? (a) n (b) i (c) 9
a
Let i = 4054/3 + -1352. Which is the fourth smallest value? (a) -4 (b) i (c) 198 (d) -1 (e) -0.1
e
Let i = 204.8 - 207.8. What is the third smallest value in -2/7, 2, -1/6, i, 0.38?
-1/6
Let p = -4.8 - -5.2. Let j = 777 - 776.8. What is the second smallest value in p, 1.8, j, -0.1?
j
Let q = 518969/7 - 74139. Let h = 7 - 3. Which is the fourth smallest value? (a) 0.4 (b) q (c) -41 (d) h
d
Let x be (-7)/(-33) + 8/24. Let w = 89 - 93.6. Let q = w - -3.7. What is the second biggest value in x, 0.4, q?
0.4
Let c = -2658 + 2657. What is the smallest value in 0.1, -5, 18, c, 6/7?
-5
Let t = -1/73 + -68/365. Let s = -1102 + 975.4. Let x = -128.6 - s. What is the second biggest value in t, x, 2, -9?
t
Let q = 199794/5 + -39959. What is the second biggest value in q, -0.48, 2/15, 0.3?
2/15
Let x = -14141 - -14140. Which is the fifth biggest value? (a) -0.1 (b) 1/6 (c) -0.3 (d) 3 (e) x
e
Suppose 28*l - 12 = -2*n + 24*l, 3*l - 18 = 3*n. What is the smallest value in 2/523, 1, n?
n
Let y = -2/9 - 1/36. Let r = 5.949 + -6.149. What is the fourth smallest value in 0.2, r, 0.3, y?
0.3
Suppose 3*y - 2*n + 25 = 0, 4*y = 2*n + 2*n - 40. Let j be 150/19 + (-254 - -254) + (1 - 9). Which is the second smallest value? (a) -2.9 (b) y (c) j
a
Let f = -14.3 + 32.8. Let n = 25.5 - f. Let v = 4 - -1. Which is the smallest value? (a) 2/5 (b) v (c) n
a
Let y = 72241/11 - 6569. Which is the second biggest value? (a) y (b) 2/19 (c) 1
b
Let r(h) = h**2 + 12*h - 1. Let z be r(0). Let u = -1.24 - -0.74. Which is the second biggest value? (a) u (b) 0.7 (c) z
a
Let i = -38054 + 38052. Let v = 4 - -3. What is the second biggest value in v, 5, i?
5
Let x = -880 - -891.1. What is the smallest value in 0.5, 16/7, x?
0.5
Let l = 31195.9999 - 31198. Let r = l + 0.0001. Which is the smallest value? (a) 3/8 (b) 1 (c) r
c
Let o = -128.782 + -0.218. Let p = o + 127. Which is the second biggest value? (a) 12 (b) 4 (c) 0.5 (d) p
b
Let t = -0.3 - -0.3. Let z = -0.417 - -0.557. Let d = -42 + 41. Which is the third biggest value? (a) d (b) z (c) t
a
Let s = 0.2 + -0.3. Let r = 3771 + -3765. What is the second smallest value in s, -0.01, r?
-0.01
Let u = 235/7 - 817/21. Suppose -141*p - 13881 = -13458. Which is the third smallest value? (a) p (b) u (c) 1/4
c
Let q be (-4)/3*(-69)/46. Let p = 135/7 + -1229/63. What is the smallest value in -5, -2/13, p, q?
-5
Let y be 65/3 - 5145/245. Let k = 9/62 + 645/682. Which is the second smallest value? (a) y (b) k (c) -0.3 (d) -1
c
Suppose -4*i - 5*g + 18 = 0, 5*i - 25*g = -30*g + 20. What is the third smallest value in -5, 0.3, i, 1/339, 0?
1/339
Let o = 31238 - 31807. What is the third smallest value in -0.3, -1/16, o?
-1/16
Let q = -3733 + 3634. Which is the third smallest value? (a) q (b) 4 (c) -1 (d) -4
c
Let u = 2645/2 + -1274. Let w = 50 - u. Let y(x) = -x + 8. Let q be y(12). What is the fourth biggest value in -1, -2/15, w, q?
q
Let v = -2 + 5. Let t be (v/(-2))/(2 + 38/(-20)). What is the second smallest value in -3/5, -5, t, 4?
-5
Let t = -10/67 + 324/1273. Let u = -59213 - -59213.5. What is the second biggest value in u, 13, t, 0.1?
u
Let g = -0.25 + 671.25. Let q = -670.5 + g. Let v = 9/40 + 1/40. Which is the fourth biggest value? (a) -2 (b) q (c) v (d) -0.5
a
Suppose 271*j + 22*j + 1170 = -97*j. Let o = 59 + -296/5. Which is the second smallest value? (a) o (b) -0.4 (c) j
b
Let w be 3*-1*2656/1632 - -5. Which is the third smallest value? (a) 19 (b) w (c) 40
c
Let l = -1/15166 - -11375/7583. What is the second biggest value in -12/17, 3, l?
l
Let q = 165529/790155 + 1128/1951. Let z = -90 - -7289/81. Let m = z - q. Which is the third smallest value? (a) -2/21 (b) m (c) -5 (d) 5
a
Suppose 40*p = 193*p. Suppose -x + 44 = -2*r, 3*x + 3*r = 137 - 32. Let t be -2*1*2/x. Which is the second biggest value? (a) -0.23 (b) t (c) -0.5 (d) p
b
Let q = -195.42 - -482.42. Which is the third biggest value? (a) 1/8 (b) q (c) 0.2
a
Let x = -0.0609 - -35.0609. Let v = 70 + -69. What is the second biggest value in 2, x, v?
2
Let w = -6/35 - 8/35. Which is the second biggest value? (a) -0.09 (b) 60 (c) w (d) 0
d
Let z = -292/7 + 42. Let i = -1.6 - 12.4. Let p = i - -14.2. Which is the third biggest value? (a) 4 (b) p (c) 2 (d) z
d
Suppose 2 = h + 4. Let k = 0.047 + -0.106. Let p = k + 0.059. Which is the smallest value? (a) h (b) 0.3 (c) p
a
Let s = -6/43 + 331/215. Which is the second biggest value? (a) 2 (b) 0.2 (c) s (d) 28
a
Let l(k) = -3*k**2 + k**3 + 0*k**3 + k**3 + 10 - 5. Let t be l(3). Suppose -33*p = -t*p + 9. What is the third smallest value in -0.5, -2, 1, p?
-0.5
Let i = -6.4 + -0.6. Let f = 6 + i. Let o = -32/19 - -1/57. Which is the third smallest value? (a) f (b) 0 (c) 0.2 (d) o
b
Let y be (-40)/238 - (-6)/21. Let b = -8693 + 8698. What is the biggest value in y, -3, 0.05, b?
b
Let h = -11.2 - -19. Let g = -40.8 + h. Let d = g + 36. Which is the second smallest value? (a) d (b) -1/17 (c) -1
b
Let g be (1/2*10)/(1751/(-206)). What is the fourth biggest value in 5, g, 1/5, 0.5?
g
Let t = -223.99 + 189.99. What is the biggest value in 1/5, -0.5, -5, 4, t?
4
Let a = 7 - 5. Let w = -3 + a. Let q = 2.0516 + -0.0516. What is the second smallest value in -2/7, q, w?
-2/7
Let v | {
"pile_set_name": "DM Mathematics"
} |
2, v, f in ascending order.
v, f, 2
Let g = -3 + 113. Let i = -12 - 787/8. Let y = g + i. Put 1/6, y, 0.2 in increasing order.
y, 1/6, 0.2
Let p be (-36)/7 + 5/35. Put -1, 1, p in descending order.
1, -1, p
Let w = -8 - -3. Let m = -5 - w. Put m, -3, -4 in decreasing order.
m, -3, -4
Let h be 60/33 - 8/(-44). Suppose 5 = -4*o + 1. Let b = o - h. Sort b, 5, 1 in decreasing order.
5, 1, b
Let b = -0.36 - -0.4. Let d = -0.26 - b. Put -2/9, -2/7, d in decreasing order.
-2/9, -2/7, d
Let p = -6 + 5.94. Let a = p + -0.04. Sort 2/3, a, 0.4.
a, 0.4, 2/3
Suppose -3*p + g - 41 = 5*g, g = p + 2. Suppose 4*k - 1 + 29 = 0. Let m = p - k. Sort m, -2, -4 in descending order.
m, -2, -4
Let g = 3/7 + 1/14. Let y = 0.07 + -0.07. Let p = y + 3. Sort g, p, 0.2 in ascending order.
0.2, g, p
Let r be -2 + 2 - (-9)/(-45). Sort 0.2, -1, 5, r in ascending order.
-1, r, 0.2, 5
Suppose 2*m - 12 = -m. Let b be (-6)/21 - m/(-14). Put b, -5, -4 in decreasing order.
b, -4, -5
Let n = -2 - 2. Suppose -2*d - 4*p = -6, -3*d + d = 3*p - 2. Sort d, n, -2 in descending order.
-2, n, d
Let d(u) = -u**2 - 6*u - 2. Let o be d(-5). Let f be (-11)/o - 4/(-6). Sort -1/2, f, 0.
f, -1/2, 0
Let v = 3 + -7. Let n be 0*(-3)/(-9) - 3. Sort v, n, -5.
-5, v, n
Let n be 0/(-2*2/4). Let r(i) = -i**3 + i**2 - 2. Let s be r(n). Let f(u) = u + 1. Let k be f(2). Sort 0, k, s in ascending order.
s, 0, k
Let w(x) = -x**2 + 11*x + 1. Let a be w(11). Suppose q - c + 2 = -3*c, 3*c + 9 = -3*q. Sort a, -1, q in increasing order.
q, -1, a
Let y = 3 - 3. Suppose y = a + t, -3*a + 4*t + 27 = 2*a. Suppose -z + 4*z + 15 = 0. Sort z, a, 4.
z, a, 4
Suppose -14*k = -7*k - 7. Put -2, -3, k, 0 in decreasing order.
k, 0, -2, -3
Suppose 6*r + o = 2*r - 11, -o - 9 = 3*r. Let c = 5 + -4.6. Let z = c + -0.5. Put r, z, 1/2 in descending order.
1/2, z, r
Suppose -4*r + 24 = -2*q, 0 = -5*r + 7*r - 3*q - 20. Let w be (-1)/(-4) + (-5)/4. Put w, 3, r in decreasing order.
r, 3, w
Suppose -h = -2*h + 4. Let p(a) = -a**2 - 5*a - 5. Let j be p(-5). Sort h, j, 2 in decreasing order.
h, 2, j
Let c = -4 + 10. Let n(g) = g**3 - 9*g**2 - 8. Let i be n(9). Let d = i + c. Sort d, 2/15, -4.
-4, d, 2/15
Let a = -0.168 - -0.068. Put -1/5, 1, a, 4 in decreasing order.
4, 1, a, -1/5
Let c = -3 - 2. Let p = -1 - c. Let r be -3*(1 - 4/(-6)). Put 2, p, r in decreasing order.
p, 2, r
Let y(z) = -z - 8. Let s be 4/6*(-210)/20. Let x be y(s). Sort -2, x, -3 in descending order.
x, -2, -3
Suppose c + 1 = 4*u + 16, 4*u + 3*c = -3. Sort 5, u, 2 in ascending order.
u, 2, 5
Suppose 3 = z - 1. Let j = -5 + 7. Suppose -2 = h + j. Sort z, h, 5 in ascending order.
h, z, 5
Let v be 60/14 - (-6)/(-21). Let z be -2 + 1 + 0 + -3. Put v, z, -3 in increasing order.
z, -3, v
Let c(l) = -2 - l**2 - 13*l + 3*l + 15. Let x be c(-11). Let a be 3/(-3)*(-2 - -7). Sort -7, x, a.
-7, a, x
Let c be 1/(-2 - 28/(-12)). Suppose g - c*g + 8 = 0. Put 5, -3, g in decreasing order.
5, g, -3
Let k(f) = 3*f - 3*f - 2*f + 4. Let m be k(3). Sort 4, 2, m.
m, 2, 4
Suppose 0 = -s + 4*z + 10 - 0, -2*z = 4. Suppose -15 = -5*t + s*t. Put 0, t, 1 in descending order.
t, 1, 0
Let s = -0.82 - -0.32. Sort -0.31, 1/4, -2/5, s in descending order.
1/4, -0.31, -2/5, s
Let q = 0.89 + -1.19. Sort -3, 0.1, q in descending order.
0.1, q, -3
Let u = 0.4 - 0.6. Put 0.1, u, 10 in decreasing order.
10, 0.1, u
Let w = -0.8 + 0.5. Let q be 5/1 - 585/105. Sort q, w, -2 in ascending order.
-2, q, w
Let r(s) = -2*s + 9. Let g be r(3). Put -5, -3, g in ascending order.
-5, -3, g
Suppose -4*w - 2 = -2*w. Let r be w/(-8) + (-123)/24. Sort -14, 5, r.
-14, r, 5
Let f be (-10)/(-2) - (6 + -3). Put 4, 5, f, -7 in increasing order.
-7, f, 4, 5
Let l = -0.68 - -0.08. Let o = -0.9 - -0.1. Let y = o - l. Sort y, -4, 1.
-4, y, 1
Suppose 4*b + k - 2 = -5, -k = 3*b + 1. Suppose 3*u + 16 = 7*u. Put b, u, -3 in decreasing order.
u, b, -3
Let g = -9.8 - -8.9. Put g, 0, 5 in descending order.
5, 0, g
Let y = 2.5 - 2. Let k = -3 + 2.9. Sort y, k, 3 in descending order.
3, y, k
Let g be (2*(-18)/21)/(22/(-77)). Sort -0.4, g, 4/9 in decreasing order.
g, 4/9, -0.4
Let g be (-2 + -3)*(-8)/10. Let f(z) = 2 + 1 - z + 5 - 4. Let k be f(7). Sort k, -5, g in ascending order.
-5, k, g
Let m be (-6)/(-10) + (-6)/(-15). Let a = 0.12 + 0.38. Sort m, a, -1/5.
-1/5, a, m
Let k = 76 - 153/2. Suppose 5*u - 5 - 5 = 0. Sort u, -2, k.
-2, k, u
Let a be (-4)/(-6)*(12 + 6). Let u = -8 + a. Let g be 3/(-12) + (-3)/(-8). Sort u, g, 2.
g, 2, u
Let c be (2/(-6))/((-3)/(-4)). Let w = -22.9 + 23. Sort -1, c, w in decreasing order.
w, c, -1
Let f(o) = o + 2. Let n be f(2). Sort -6, -4, n.
-6, -4, n
Let o(l) = -l**2 - l - 2. Let g be o(-5). Let m be ((-6)/45)/(g/10). Let d = -20/33 - m. Put -0.4, d, -5 in descending order.
-0.4, d, -5
Let v = 1 + -4.5. Let k = 0.5 - v. Let u = 0.4 - 0.7. Sort k, u, -3 in descending order.
k, u, -3
Suppose 5*k - 4 = -s + 3, 5*s - 3*k + 21 = 0. Sort 3, 5, 1, s in decreasing order.
5, 3, 1, s
Suppose 0 = 4*a + 16. Let w(n) = n**2 - 6*n - 11. Let f be w(8). Put a, -1, f in decreasing order.
f, -1, a
Let g = -0.12 - -4.12. Let d = 2.92 - -0.08. Let a = -148 + 1033/7. Sort d, a, g in decreasing order.
g, d, a
Let j be 1/(-2 - -3) - -7. Let x(c) = c**3 - 9*c**2 + 9*c - 6. Let a be x(j). Suppose 2*g + a*g = -12. Put 3, g, -2 in decreasing order.
3, -2, g
Let o be 164/9 + 4/(-18). Let p be -2 + (-1 - (-95)/o). Let f = p + -16/9. Put -0.5, f, -0.1 in increasing order.
-0.5, -0.1, f
Suppose -2*d + h = -3, -3*d = 2*d - 5*h. Sort d, 4, 13 in descending order.
13, 4, d
Let h(j) = -j**3 - 5*j**2 - 4*j + 5. Let k be h(-4). Suppose 5*z + 15 = 0, a - 2*a - 9 = 5*z. Suppose a*g - g = 15. Sort -3, k, g in descending order.
k, g, -3
Let s(g) be the second derivative of g**4/12 + 3*g**3/2 + 2*g**2 - 4*g. Let y be s(-9). Let v = 0 - -1. Sort v, -2, y in decreasing order.
y, v, -2
Let t be 60/25*30/(-4). Let w be (68/6)/(2/t). Let l = w - -508/5. Put -1, 1, l in descending order.
1, l, -1
Let t(u) = u**3 - 3*u**2 + 8. Let f be t(2). Put -13, -5, f, -2 in decreasing order.
f, -2, -5, -13
Let c be ((-6)/2)/(-4 - 215/(-20)). Put 1, c, 0.04 in decreasing order.
1, 0.04, c
Suppose -4*r + 5*m - 6 = 0, 4 = 8*m - 6*m. Sort r, -4, 4 in decreasing order.
4, r, -4
Let k = -2.4 + 2. Let a = 0.04 + -0.14. Sort 1/4, a, k.
k, a, 1/4
Let b = 0.07 + -0.11. Let x = b + -4.96. Let p be 0/((-3)/3 - -3). Sort -3, p, x in increasing order.
x, -3, p
Let y = -363 - -232. Let z = y + 923/7. Let t = 47.1 - 47. Put 2, t, z in descending order.
2, z, t
Let a(l) = l**2 + 2*l - 11. Let j be (-5 - (-3 + 1)) + -2. Let s be a(j). Sort -4, s, -6.
-6, -4, s
Let z = 170 + -173. Sort z, -2, -21, 3.
-21, z, -2, 3
Let q = 63 + -63.3. Sort -0.28, -1/3, -3, q in increasing order.
-3, -1/3, q, -0.28
Suppose u - 1 = 3*j + 17, 3*j - 5*u = -30. Sort j, 5, 4 in descending order.
5, 4, j
Let w be (-1)/(-2) - 1/2. Suppose w = l + 1 + 1. Let f = 4 - 9. Put -1, l, f in descending order.
-1, l, f
Let s = 264/5 + -53. Suppose 5*p + 0*p + q = 32, 5*p - 24 = 3*q. Suppose -p*x + 10 = -x. Sort -0.5, s, x in descending order.
x, s, -0.5
Let b(k) = k**3 + 15*k**2 + 26*k - 3. Let m be b(-13). Sort m, -1, 2 in descending order.
2, -1, m
Suppose -2*r + 4 = 2*s - 4*r, 0 = -5*s + 3*r + 6. Suppose s = -v - 3*v. Sort v, -5, -4 in ascending order.
-5, -4, v
Let d be ((-15)/(-5))/3 - 7. Sort -4, -3, d in decreasing order.
-3, -4, d
Let f = -0.22 - 0.08. Let m = -6 + 9. Suppose 0*d - 12 = m*d - 2*r, 0 = 5*d + 3*r + 1. Sort f, d, 2 in decreasing order.
2, f, d
Let b = -17.7 - -18. Put 4/3, b, -2, -5 in descending order.
4/3, b, -2, -5
Let d(k) = k - 13. Let f = -18 + 26. Let z be d(f). Sort 3, z, 0 in descending order.
3, 0, z
Let k be 2*(-2)/(-2) - 3. Let f be 0 + 0 - 6/(-21). Put 4, k, f in ascending order.
k, f, 4
Let x = -5.08 + 0.08. Let v = -13.1 + 13. Put 2, x, v in descending order.
2, v, x
Let f = -5 + 6. Let q = -69 + 64. Sort 3, f, q in increasing order.
q, f, 3
Let m be (-50)/28 - (-9)/6. Sort m, -0.4, -29 in descending order.
m, -0.4, -29
Suppose 2*i - 4*c = -8, i - 2*c = -4*i - 20. Let y = -7 + 12. Sort y, i, -2 in increasing order.
i, -2, y
Let h(d) = -d**2 - 5*d - 2. Let a be h(-4). Suppose 0*y = -3*y + 15. Sort -5, a, y in decreasing order.
y, a, -5
Let d be (-100)/195 - (-4)/6. Sort 0.4, -3/ | {
"pile_set_name": "DM Mathematics"
} |
, 3?
-1/5
Let z be -8*4/16*-5. Suppose 6*y = z*y - 16. What is the biggest value in y, 1/2, -4/7?
y
Let g = 4.6 - 4.4. Let y = 0 + 0. What is the smallest value in y, g, -4?
-4
Let o = -8.64 + 0.04. Let j = -12 + 21. Let y = j + o. What is the biggest value in 0.2, y, 3?
3
Let s = 0.095 - -0.005. Let d = 16.3 + -3.3. Let j = d + -8. Which is the third smallest value? (a) -2/9 (b) s (c) j
c
Suppose 0*f = 5*f. Let n = -3 + f. Which is the second biggest value? (a) n (b) 0.5 (c) -0.4
c
Suppose 4*v = -16 + 8. Let z = 43/78 + -2/39. What is the third smallest value in 3, v, z?
3
Let o be (16/(-180))/((-48)/(-40)). What is the smallest value in 0.2, o, 0.4, -3?
-3
Let d = 16 - 19. What is the second biggest value in d, 1, 0?
0
Let q = -26/3 - -155/18. Which is the second biggest value? (a) 0.5 (b) q (c) -2 (d) -4
b
Let a = -8 - -8.3. Let s = -1.2 + 0.7. Let j = 895/22 - 81/2. What is the second biggest value in a, s, j?
j
Let m be -1 + (-65)/(-6) + 0. Let o = 55/6 - m. Which is the second smallest value? (a) -4 (b) 2 (c) o
c
Let d be (18/20)/((-12)/(-10)). Let m be (3 + (-3 - 1))*-5. Let u = -4.97 + -0.03. Which is the third smallest value? (a) u (b) d (c) m
c
Let v = -4.7 - -0.7. Let w = 1 + v. What is the biggest value in 2, w, 0.3?
2
Let m = -7 + 6.9. Let d = -3.9 + m. What is the third smallest value in 2, d, -5?
2
Let x be 1/(-3) + (-28)/6. Let a = x + 34/7. What is the third biggest value in a, 5, -1?
-1
Let n = -5 - -4.9. Let t be (-2)/(-1) + 2 + 2. Let v be (-10)/t*4/(-30). What is the third smallest value in n, 0.4, v?
0.4
Let d = -1.7 + 1.5. What is the second biggest value in -1/6, -2, d?
d
Let i = -127 + 127.1. What is the fourth biggest value in -1, i, 3, 6?
-1
Let h(c) = -c - 6. Let z be h(-5). Let r be 5/(-10)*(0 + 2). Let j be 30/(-9) - r/3. What is the second smallest value in z, j, -0.2?
z
Let l = -22/15 - -199/105. What is the third biggest value in 2/7, -1, l?
-1
Let y = 223 - 2451/11. Let m = -2/89 - 57/1424. Which is the second biggest value? (a) y (b) m (c) 2
a
Let o = -5 - -4. What is the smallest value in o, 1, -0.3?
o
Let g = -12 + 9. Let y be 3 - 2 - 3/4. What is the second smallest value in g, y, -2?
-2
Suppose -2*h + 33 = h. Suppose 2 + 1 = -y - 4*f, -2*f + h = 3*y. Let t = -85 - -167/2. Which is the smallest value? (a) y (b) -1 (c) t
c
Suppose -4*q - 16 = 16. Let z = q + 11. What is the second biggest value in 0.2, z, 0?
0.2
Let n = 1.04 + -0.04. Let y be 6/(-4)*(-48)/9. Let a = -6 + y. What is the third smallest value in n, -2/3, a?
a
Let j = 11 + -16. Which is the third smallest value? (a) -0.3 (b) 0 (c) j
b
Let a be ((-3)/(-12))/(4/8). What is the second smallest value in -2/13, a, -1/2?
-2/13
Let x = -0.035 - -0.435. Let j = -6 + 1. Which is the second biggest value? (a) 1 (b) x (c) j
b
Let x = -4.4 - 2. Let s = 9.3 + x. Let u = s + 1.1. Which is the smallest value? (a) -2 (b) -1/6 (c) u
a
Let y(b) = b + 13. Let s be y(-9). Let w = -47 - -140/3. What is the second smallest value in -0.04, s, w?
-0.04
Let s be (4/(-3) + 0)/((-46)/3). Which is the biggest value? (a) -1/7 (b) s (c) 1/6 (d) -0.2
c
Let s = 0 + -1. Let x = s + 4. Let q = 21 - 20.6. What is the smallest value in q, 2/15, x?
2/15
Suppose 0 = -12*k + 17*k + 15. Let s = 4 + -5. What is the third biggest value in 5, s, k?
k
Let g be (-6)/(-27) - (-58)/(-18). Suppose -2*i = -4 + 12. Let j be 1 - 3 - 10/i. Which is the second smallest value? (a) g (b) j (c) 2/15
c
Let k = -11 - -15. Let a = -0.9 - 0.3. Let o = a - -1.1. What is the smallest value in k, o, 1?
o
Let t(l) = -5*l**3 + l**2 + l - 1. Let q be t(1). What is the fourth smallest value in 3, q, 0, -4/5?
3
Let n = 2162/9 - 240. Which is the smallest value? (a) 6 (b) -0.5 (c) n
b
Let x = 0.16 + -0.12. Let o = 6.57 - 2.53. Let h = x - o. What is the third biggest value in -3/8, h, -2?
h
Let p(n) = n**3 - 3*n**2 - 2*n + 4. Let d be p(3). Let h be d/4 + 1/2. Which is the third smallest value? (a) -1 (b) -0.5 (c) h
c
Let k = 11.4 + -4.1. Let f = k - 7. Which is the third biggest value? (a) 3 (b) f (c) 1
b
Let k = 3.8 + -4. Which is the third smallest value? (a) 1 (b) k (c) 4/3
c
Let w = 10952552 - 9430148428/861. Let k = -7/123 - w. What is the smallest value in -1/5, k, 0.1?
-1/5
Let y be 38/12 - (-4)/(-24). Let v be (-3)/(-1) - 44/y. Let z = 184/15 + v. Which is the smallest value? (a) -3/2 (b) z (c) 0.5
a
Let d be 3 - (2 + -2 + 2). Let r = -3.9 + 1.1. Let p = 0.2 - r. Which is the biggest value? (a) p (b) d (c) -0.2
a
Let t = 5 - 5. Let y = t - -3. Which is the third smallest value? (a) y (b) -1 (c) -2/7
a
Let k = 7 + -13. Let g be k/(-4) + -4 + 2. Which is the third biggest value? (a) g (b) 2/15 (c) 2/9
a
Let v = 10 - 18. Let g be ((-12)/40)/(6/v). Which is the second biggest value? (a) g (b) -1/4 (c) 4
a
Let g = -0.068 + 0.268. Which is the third smallest value? (a) 0.5 (b) -4 (c) g (d) -1/2
c
Let o = -72.3 - -91. Let d = 19 - o. Which is the second biggest value? (a) d (b) 0.1 (c) 3/2
a
Let r be 1/(-2)*(-15 + 5). Let n = r + -6. Which is the third smallest value? (a) n (b) 0.5 (c) -5
b
Let h = -4.09 - -0.09. Which is the biggest value? (a) 4 (b) 0.3 (c) h
a
Let w = 0.1 + 0.3. Let q = 0 + 0. Let t = q + -0.2. Which is the third smallest value? (a) 0.3 (b) t (c) w
c
Let f = -102.3 + 102. Let w = -5 + 3. Which is the second smallest value? (a) f (b) w (c) -4
b
Let m be 3 + -10 - ((-4)/2 + 0). What is the third smallest value in 4, m, -4/7, 0?
0
Let l be 2801/(-2406) + 3 + -1. Let t = l + -1/401. Let z = -77.4 + 77. Which is the second smallest value? (a) z (b) t (c) -1/3
c
Suppose -17*p - 25 = -12*p. Which is the third biggest value? (a) -0.2 (b) p (c) -3
b
Let m(h) = -h**3 + 2*h**2 + 9*h - 8. Let u be m(4). What is the biggest value in 5, u, 3?
5
Let a = 69 + 169. Suppose 4*n - a + 30 = 0. Let l be 6/(-12) + 34/n. What is the smallest value in -1, l, -2/21?
-1
Let q = -0.35 + -0.05. Let u = -15 - -4. Let d = u + 10. Which is the third smallest value? (a) 2 (b) q (c) d
a
Let z be (-32)/(-10) - (-3 - -6). Let h = -2739/10 - -265. Let k = -9 - h. Which is the second smallest value? (a) 4 (b) k (c) z
c
Let j(t) = -t**2 + 2*t. Let z be j(1). Let o = -2.3 - 0.7. What is the third biggest value in z, o, -5?
-5
Suppose 4*f = 2*f + 6. Let i be 9/f + -1 + -2. Which is the third smallest value? (a) 1 (b) 0.1 (c) i
a
Let d be (0 - 1) + 5 + -10. Which is the third biggest value? (a) 2 (b) d (c) -2
b
Let k = 2.2 + -1.8. What is the third biggest value in 0, k, 2/3?
0
Let h = 0 + -3. Let q = 8.98 - -0.02. Let z = q - 9.4. What is the third biggest value in -1/2, z, h?
h
Let x = -16 + 16.4. What is the second smallest value in 0, x, 3, -1/4?
0
Let m = 0.2 - 1.2. Let n(q) = -17*q - 1. Let a be n(1). Let j be (a/(-8))/(-3)*4. What is the third biggest value in -0.3, j, m?
j
Let i = 11 - 11.03. Let u = i - -0.43. What is the third smallest value in -2, -0.5, u?
u
Suppose -k - 4*v + 23 = 0, k + 3*v = -k + 21. Let d(f) = -f**3 - 5*f**2 + 6*f + 5. Let u be d(-6). What is the third biggest value in k, -4, u?
-4
Let x(h) = h**3 - 4*h**2 + 2*h + 2. Suppose 3*w - 14 = -5. Let j be x(w). Which is the third smallest value? (a) j (b) 4 (c) 5
c
Let r = 14 + -14.3. Which is the second biggest value? (a) 2/13 (b) r (c) 2/5
a
Let p = 73 - 147/2. Which is the second biggest value? (a) -0.1 (b) -2/11 (c) -0.2 (d) p
b
Let r = -1.5 + 3.5. Which is the biggest value? (a) r (b) -3 (c) -2/9
a
Let t = -40 + 45. What is the fourth biggest value in t, -4, 3/4, -1?
-4
Let r = 9 - 5. Let o = -2 - -7. Let k = -5.3 + o. What is the second smallest value in -0.4, r, k?
k
Let a = -169 - -1180/7. What is the third biggest value in -5, 0.4, a?
-5
Let g = 3 - 3.5. Let m = -4.86 - -5. Let o = m + -0.04. What is the second biggest value in g, -1, o?
g
Let c = -0.06 + -0.04. Let z = -0.03 + -0.97. What is the biggest value in z, 4, c?
4
Let j = -7.8 + 8. Which is the biggest value? (a) j (b) 1/3 (c) 3
c
Let o = 5.8 + -5.85. What is the third biggest value in -1/10, 1/5, o, -0.2?
-1/10
Suppose -3*b = 0, -5*x + 2*x + 9 = -b. Let w be 33/18 - x/2. What is the second smallest value in 2, w, -0.5?
w
Let y = -13 - -18. Let s = 62 - 56.8. Let v = | {
"pile_set_name": "DM Mathematics"
} |
n base 9, what is -125543 - 2?
-125545
In base 9, what is 0 - 481?
-481
In base 10, what is -2 + 58395?
58393
In base 13, what is b4 + 17c0?
18a4
In base 5, what is 10 + -10042033?
-10042023
In base 13, what is 30 + -33a0?
-3370
In base 8, what is 107 + 1201?
1310
In base 13, what is 1 - -b8135?
b8136
In base 2, what is 1011 - -1000111011001111?
1000111011011010
In base 9, what is -4 - -253108?
253104
In base 8, what is 1 - 342142?
-342141
In base 5, what is 1344 - -223110?
230004
In base 2, what is -1010101111 - -1101?
-1010100010
In base 4, what is -10013 + 32123?
22110
In base 11, what is 2 - -23686?
23688
In base 8, what is 7644712 - -3?
7644715
In base 7, what is 1511300 + -5?
1511262
In base 2, what is 110000 - 10010101110100?
-10010101000100
In base 9, what is -172 - -6082?
5810
In base 4, what is -100103 + -12?
-100121
In base 7, what is 2 + 115230?
115232
In base 5, what is -4 + 42440032?
42440023
In base 2, what is -101 + -111111110101?
-111111111010
In base 15, what is 13 + -14b71?
-14b5d
In base 9, what is -434271 + 3?
-434267
In base 6, what is 5312 - 1315?
3553
In base 2, what is -1000100101101 + 10011?
-1000100011010
In base 16, what is -2f - 59e?
-5cd
In base 4, what is -13 + 23222203?
23222130
In base 5, what is 111 - -110?
221
In base 7, what is -2415 - 20336?
-23054
In base 6, what is -4014542 + -12?
-4014554
In base 8, what is -6773 - 172?
-7165
In base 9, what is 51 - 141?
-80
In base 4, what is -202333 - -3233?
-133100
In base 14, what is 653 - -a91?
1304
In base 15, what is -132b + 5e?
-12bc
In base 10, what is 0 - -203745?
203745
In base 10, what is -16546 + -5?
-16551
In base 4, what is -10 + -113221130?
-113221200
In base 12, what is -5b84 + -a?
-5b92
In base 5, what is -10133 + -3044?
-13232
In base 3, what is 2 + 1022211201011?
1022211201020
In base 15, what is -166 + -293c?
-2aa3
In base 11, what is -5 + 18553?
18549
In base 8, what is 75 - 12232?
-12135
In base 15, what is -14 + -a8?
-bc
In base 15, what is -1c - -31e?
302
In base 3, what is 21022211 - 100?
21022111
In base 4, what is 121 + -23203330?
-23203203
In base 11, what is -168750 + 0?
-168750
In base 2, what is 1000101000 + 1101110100?
10110011100
In base 12, what is -ba386 - -2?
-ba384
In base 9, what is 5 - -132557?
132563
In base 16, what is 487bcf - -1?
487bd0
In base 3, what is 12010 + -10001120?
-2212110
In base 12, what is -421 - -76?
-367
In base 3, what is -10000101 + -10200?
-10011001
In base 4, what is -200 - -103301?
103101
In base 6, what is -1235 + -30?
-1305
In base 14, what is -d7a + -1?
-d7b
In base 16, what is 176 - 295?
-11f
In base 2, what is -101101110100 - -10101?
-101101011111
In base 4, what is -201 + -10232213?
-10233020
In base 11, what is 6511 + a?
6520
In base 8, what is -364 + 16307?
15723
In base 10, what is 4 - 53868?
-53864
In base 5, what is 2212 - -22?
2234
In base 2, what is 1000101110001 + 1?
1000101110010
In base 11, what is 3 - 959a?
-9597
In base 16, what is 6c0c - -23?
6c2f
In base 9, what is 37 - -467?
515
In base 8, what is 261 + 700?
1161
In base 15, what is 309 + a7?
3b1
In base 10, what is -413870 + -2?
-413872
In base 7, what is 4124160 + 2?
4124162
In base 4, what is 101 + -1001232?
-1001131
In base 13, what is 12ab - 5b2?
9c9
In base 3, what is -1 - 1100001202200?
-1100001202201
In base 12, what is 478ab6 + 4?
478aba
In base 12, what is -425169 + 2?
-425167
In base 15, what is -6 - 1179c?
-117a3
In base 10, what is 1275 + -805?
470
In base 13, what is 76 - 94?
-1b
In base 6, what is 4 - 1005211?
-1005203
In base 12, what is 73b - -136?
875
In base 2, what is 10110001101011 + 100011?
10110010001110
In base 12, what is 13a74 - 3?
13a71
In base 12, what is -3 + -50?
-53
In base 4, what is -2001120332 + 2?
-2001120330
In base 5, what is 1202 + 214?
1421
In base 13, what is -232 + -84a?
-a7c
In base 15, what is 1dab40 + 0?
1dab40
In base 10, what is 5 + -3642?
-3637
In base 8, what is 17 + -101044?
-101025
In base 11, what is -193a47 - 5?
-193a51
In base 14, what is 1cb6 - 15?
1ca1
In base 4, what is 312112132 - 0?
312112132
In base 2, what is -101 + 1010110100010100?
1010110100001111
In base 3, what is 1120202120 + -102?
1120202011
In base 12, what is -42ba + 2a?
-4290
In base 10, what is -200493 - 0?
-200493
In base 10, what is -30128 - -1?
-30127
In base 16, what is 5 - -4f7f?
4f84
In base 2, what is 0 + 100100000011001?
100100000011001
In base 4, what is 200331222 - 0?
200331222
In base 5, what is 101342 + -303?
101034
In base 14, what is a866 - 5?
a861
In base 12, what is -438b3 + 1?
-438b2
In base 8, what is 3 + -22110?
-22105
In base 5, what is 333 - -142020?
142403
In base 14, what is 2b6 - 338?
-62
In base 5, what is 4042 + 1112?
10204
In base 3, what is 11012200 + 10020?
11022220
In base 8, what is 6 - -261370?
261376
In base 7, what is 6112 - 16?
6063
In base 8, what is -14247 - -27?
-14220
In base 14, what is 2 + -9ac77?
-9ac75
In base 6, what is -1 - -101310?
101305
In base 3, what is -100121 - 12220?
-120111
In base 10, what is 3 + 64424?
64427
In base 11, what is -4 + -a181?
-a185
In base 10, what is 9 + -1176?
-1167
In base 6, what is 1144 - -21?
1205
In base 16, what is -d27c - -15?
-d267
In base 10, what is 1 + 979949?
979950
In base 4, what is 1011 - 30320?
-23303
In base 14, what is 345 + -632?
-2cb
In base 9, what is -1420 - -41?
-1368
In base 10, what is -1790 + 646?
-1144
In base 11, what is 12488 + 34?
12511
In base 3, what is 11 - -22011012?
22011100
In base 2, what is -101 - 1010010110111?
-1010010111100
In base 10, what is 1770 + 13?
1783
In base 15, what is -9ce - -56?
-978
In base 16, what is 4 - -297b?
297f
In base 16, what is -2d87 - 4?
-2d8b
In base 5, what is 31223 + 12?
31240
In base 11, what is 1 - 276?
-275
In base 8, what is -14076 + 36?
-14040
In base 13, what is cabb4 + 3?
cabb7
In base 6, what is 21354014 - -5?
21354023
In base 9, what is 1 + -1467607?
-1467606
In base 13, what is 8 + -3a?
-32
In base 6, what is 431015 + 5?
431024
In base 6, what is -132 + 244?
112
In base 2, what is 11 + -110100100000?
-110100011101
In base 4, what is -10101 + 30321?
20220
In base 11, what is -27 - 1646?
-1672
In base 8, what is 0 - -255773?
255773
In base 11, what is -3 + -8450?
-8453
In base 11, what is 5 + 90383a?
903844
In base 10, what is 32136 - -38?
32174
In base 2, what is -11000 - -1010101110?
1010010110
In base 7, what is 2 + 311230?
311232
In base 14, what is -192 + -26?
-1b8
In base 14, what is -8 + 300a9?
300a1
In base 11, what is -255a3 + 69?
-25535
In base 8, what is -14 + -3467?
-3503
In base 15, what is 1 + -6bec?
-6beb
In base 6, what is 0 + -543122?
-543122
In base 7, what is -141 + 10361?
10220
In base 16, what is 6c75 - 1a?
6c5b
In base 2, what is 111011011100011 - 10001?
111011011010010
In base 14, what is 4 - 14859?
-14855
In base 12, what is -4a + -43?
-91
In base 10, what is 236 + 4?
240
In base 7, what is -4362332 - -2?
-4362330
In base 15, what is -5 + -c6ca?
-c6d0
In base 16, what is 35d - -f?
36c
In base 3, what is 10221222120 + -1001?
10221221112
In base 8, what is 46754 + -3?
46751
In base 10, what is 6 + -717?
-711
In base 4, what is -1211001221 + -10?
-1211001231
In base 8, what is 2 + -352150?
-352146
In base 6, what is 5 - 22534?
-22525
In base 5, what is -314032130 - -3?
-314032122
In base 16, what is -52 - 375?
-3c7
In base 12, what is -2a362 - 2?
-2a364
In base 14, what is -908 + -59?
-963
In base 9, what is 21 - -5801?
5822
In base 4, what is -1300 + 3311?
2011
In base 12, what is -793 + -3?
-796
In base 11, what is -238 + -1130?
-1368
In base 13, what is -1162 - -12?
-1150
In base 8, what is 10727 - 42?
10665
In base 2, what is 110111 + -1001100110100?
-1001011111101
In base 15, what is 2b70 + 35?
2ba5
In base 16, what is -b + -bf1?
-bfc
In base 2, what is 10100111100 + -110?
10100110110
In base 11, what is 2757 + 0?
2757
In base 11, what is -2305 + 41?
-2274
In base 11, what is 22a057 + -3?
22a054
In base 3, what is -120 + 202002?
201112
In base 13, what is 14cba45 - -4?
14cba49
In base 16, what is -3ea4 - -38?
-3e6c
In base 12, what is 0 + -20634?
-20634
In base 13, what is -4 - 997c?
-9983
In base 3, what is -10 - -201011021?
201011011
In base 16, what is 292 - 3?
28f
In base 8, what is -21 + 267305?
267264
In base 7, what is 11 - 1030?
-1016 | {
"pile_set_name": "DM Mathematics"
} |
he terms in -4*t**3 + 6*t**3 - 6*t**3.
-4*t**3
Collect the terms in -4 - d**3 + 2*d**3 - 3.
d**3 - 7
Collect the terms in -2 + 82*n**2 - 55*n**2 + 2.
27*n**2
Collect the terms in -5288 + 5288 + 3*y.
3*y
Collect the terms in -8*h**2 + h**2 + 4*h**2.
-3*h**2
Collect the terms in 25 + 7*d**2 - 48 + 23.
7*d**2
Collect the terms in 24*n + 1283 + 1280 - 2563.
24*n
Collect the terms in 32*n**2 + 7 - 29*n**2 - 73*n**2.
-70*n**2 + 7
Collect the terms in -6*o**2 + 82*o - 82*o - 7*o**2.
-13*o**2
Collect the terms in 7*f + 102*f - 202*f - 323*f.
-416*f
Collect the terms in -9*j**3 + j**3 - 2*j**3 - 7*j**2 + 9*j**3.
-j**3 - 7*j**2
Collect the terms in -116592*f + 116592*f + 23*f**2.
23*f**2
Collect the terms in v - 82715 - 3*v + 82715.
-2*v
Collect the terms in -13440*b + 13440*b - 8*b**3.
-8*b**3
Collect the terms in -61*w**3 + 31*w**3 + 28*w**3.
-2*w**3
Collect the terms in 59 - 217*y - 59.
-217*y
Collect the terms in -92*g**2 + 126*g**2 - 39*g**2.
-5*g**2
Collect the terms in 24*y**2 + 719 + 19*y**2 - 719.
43*y**2
Collect the terms in 4*a + 14*a + 9*a.
27*a
Collect the terms in 9*c + 13*c + 12*c - 44*c + 8*c.
-2*c
Collect the terms in 52 + b - 52.
b
Collect the terms in -3 + 3 - 96*y**2 + 93*y**2 + 0.
-3*y**2
Collect the terms in -6 + 170*a - 161*a + 6.
9*a
Collect the terms in 10*q - 10*q - 2*q**2 + 4*q**2.
2*q**2
Collect the terms in 7*f**3 + 57*f**3 - 14*f**3.
50*f**3
Collect the terms in 55*w - 6 - 270*w + 4.
-215*w - 2
Collect the terms in -2*x**3 - 1738*x**2 - 1742*x**2 + 3480*x**2.
-2*x**3
Collect the terms in 0*d**2 - d**2 - d**2 + 0*d**2.
-2*d**2
Collect the terms in -22*q**2 + 149*q**2 - 41*q**2 - 38*q**2 - 46*q**2.
2*q**2
Collect the terms in 3*i + 5*i - 7*i - 3*i.
-2*i
Collect the terms in 12*o + 6*o - 32*o.
-14*o
Collect the terms in 6*q**3 + 7*q**3 - 34*q**3.
-21*q**3
Collect the terms in -4*i**3 - i**3 - 12*i**3.
-17*i**3
Collect the terms in -5*x - 185 + 185 + x.
-4*x
Collect the terms in -247*l**2 + 0*l + 0*l - 84*l**2.
-331*l**2
Collect the terms in -6*y - 86*y**2 + 6*y.
-86*y**2
Collect the terms in 20 - 20 + 4*y.
4*y
Collect the terms in 68*o - 6 + 6.
68*o
Collect the terms in -8*r**2 - 16*r**2 + 25*r**2.
r**2
Collect the terms in 198 - 198 - i**3.
-i**3
Collect the terms in 6*l + l - 3*l - 1.
4*l - 1
Collect the terms in -2*m - m - 2*m + 2*m.
-3*m
Collect the terms in 68920*q**2 - 68920*q**2 + 8*q**3 - 6*q.
8*q**3 - 6*q
Collect the terms in k - 831 + 415 + 416.
k
Collect the terms in -5*j + 2*j + 15*j.
12*j
Collect the terms in 3*l**2 - 5*l**2 - l**2 - 32*l.
-3*l**2 - 32*l
Collect the terms in 70*l - 29*l**2 - 70*l.
-29*l**2
Collect the terms in 2*g + 54*g**3 - 5*g + 0*g + g.
54*g**3 - 2*g
Collect the terms in -13*l - 20*l - 13*l + 29*l.
-17*l
Collect the terms in -3 + 10 + 16*b**3 - 7 - 12*b**3.
4*b**3
Collect the terms in m - 33 - 3*m + m + 47.
-m + 14
Collect the terms in -244 + 125 + l + 127.
l + 8
Collect the terms in -18*r**3 + 27 - 27.
-18*r**3
Collect the terms in 0 + 18*i**2 + 0 - 14*i**2.
4*i**2
Collect the terms in -102*x**2 + 102*x**2 + 33*x**3 - 5*x**3.
28*x**3
Collect the terms in -15*m**2 - 21*m**2 + 35*m**2.
-m**2
Collect the terms in -37*y**2 + 23*y**2 + 18*y**2.
4*y**2
Collect the terms in -48637*o + 48637*o - 95*o**3.
-95*o**3
Collect the terms in 20*y**3 - 50*y**3 + 65*y**3.
35*y**3
Collect the terms in -19 + 13*r + 19.
13*r
Collect the terms in 11*u**3 - 8 + 8.
11*u**3
Collect the terms in 232 - 139 - 3*o - 93.
-3*o
Collect the terms in -43*d + 34*d + 28*d.
19*d
Collect the terms in 1 + 15*o**3 - 10*o**3 + 0 - 1.
5*o**3
Collect the terms in -3*d + d + 2*d - 2*d**2.
-2*d**2
Collect the terms in -22*q**2 + 0*q**2 + 4*q**2.
-18*q**2
Collect the terms in 13*g - 3 + 3 + 0.
13*g
Collect the terms in -132*i**3 - 266*i**3 - 533*i**3.
-931*i**3
Collect the terms in 0*q**2 + 4*q**2 - 6*q**2 - 90*q**3.
-90*q**3 - 2*q**2
Collect the terms in -1 + 1 + 4*w + 14*w.
18*w
Collect the terms in 5 + 9 + 237*h**3 - 14.
237*h**3
Collect the terms in -66*n**2 + 41*n**2 + 36*n**2.
11*n**2
Collect the terms in -29*o**3 + 83*o**3 + 22*o**3.
76*o**3
Collect the terms in -28*p**3 + 54*p**3 - 24*p**3.
2*p**3
Collect the terms in 3*r**2 + 62139 - r**2 - 62139.
2*r**2
Collect the terms in 0*l - 679*l**2 + 0*l.
-679*l**2
Collect the terms in 42*v**3 - 32*v**3 - 9*v**3.
v**3
Collect the terms in -1 + 0 - 300*c**3 - 15*c**3.
-315*c**3 - 1
Collect the terms in 2*u**2 - 5*u**2 - 2*u**2 + 4*u**2.
-u**2
Collect the terms in -33*s - 7*s + 10*s.
-30*s
Collect the terms in 2*w**2 - 4*w - 2*w + 4*w - 36*w**2.
-34*w**2 - 2*w
Collect the terms in 190*k - 93*k - 97*k + 2*k**3.
2*k**3
Collect the terms in -15*j**2 - 11*j**2 + 43*j**2 - 18*j**2.
-j**2
Collect the terms in -4*w**3 + 6*w**3 - 3*w**3 - 4*w**3 + 5*w.
-5*w**3 + 5*w
Collect the terms in -13537*o**2 + 13537*o**2 - 5*o**3.
-5*o**3
Collect the terms in 1 + 10 + b + 3.
b + 14
Collect the terms in -8*j + 12*j - 10*j - 9*j.
-15*j
Collect the terms in 2 + 16*t - 2.
16*t
Collect the terms in j - 44 + 48 - 26.
j - 22
Collect the terms in 383*o**3 - 733*o + 733*o.
383*o**3
Collect the terms in 11246*o + 7*o**2 - 11246*o.
7*o**2
Collect the terms in 4*n**2 + n**2 - 9 - 5*n**2 + 3*n**3.
3*n**3 - 9
Collect the terms in -102 + 0*b**2 + 102 + b**2.
b**2
Collect the terms in -3075*m**2 + 3075*m**2 - 7*m**3.
-7*m**3
Collect the terms in -3*m**2 + 5*m**2 + 4*m**2 - 3*m**2.
3*m**2
Collect the terms in 3 + 3 - 6 + 2 - 214*t.
-214*t + 2
Collect the terms in -3*z**2 + z**2 + 0*z - 3*z + 3*z.
-2*z**2
Collect the terms in 3*k**3 + 4*k**3 - 4 + 4.
7*k**3
Collect the terms in -109*z + 144*z - 70*z.
-35*z
Collect the terms in 5405 - 5405 + 4*a.
4*a
Collect the terms in -580*w**3 + 299*w**3 + 284*w**3.
3*w**3
Collect the terms in -19*l**2 + 9*l**2 + 15*l**2.
5*l**2
Collect the terms in 832*h**3 + 838*h**3 - 1681*h**3.
-11*h**3
Collect the terms in 9 + 13 + 2 - 6 - 3*t.
-3*t + 18
Collect the terms in 1068*h - 6663*h - 217*h.
-5812*h
Collect the terms in 26*h**2 + 33*h**2 - 19*h**2.
40*h**2
Collect the terms in -y - y - 3*y + 3*y.
-2*y
Collect the terms in 691 - 3*u**2 - 691 - u**2.
-4*u**2
Collect the terms in 36*z - 9*z - 22*z.
5*z
Collect the terms in -48*o + 39*o + 7*o.
-2*o
Collect the terms in -46*p**3 + 10*p**3 - 10*p**3.
-46*p**3
Collect the terms in -26*q - 2 - 15*q - 10*q.
-51*q - 2
Collect the terms in 2*g**3 - 3*g**3 - 5*g**3 + 3*g**3.
-3*g**3
Collect the terms in -121*a**2 + 37*a**2 + 36*a**2 + 41*a**2.
-7*a**2
Collect the terms in 2 - 37*h - 5 + 3.
-37*h
Collect the terms in -590*j**2 - 294*j**2 - 65*j**2.
-949*j**2
Collect the terms in -14*g - 7*g + 4*g.
-17*g
Collect the terms in 11*g**3 + 5*g**3 - 93*g**3.
-77*g**3
Collect the terms in 50*i**2 + 5*i**2 + 31*i**2.
86*i**2
Collect the terms in 9*t**2 + 1 + 12*t**3 - 4 - 9*t**2.
12*t**3 - 3
Collect the terms in 22*g**2 - 2*g**2 + 6*g**2.
26*g**2
Collect the terms in -8*o**2 - 16*o**2 + 33*o**2 - 15*o**2.
-6*o**2
Collect the terms in 7*b**3 - 5*b**3 + 0*b - 15*b + 15*b.
2*b**3
Collect the terms in -18*l**2 + 18*l**2 - 4*l**3.
-4*l**3
Collect the terms in -5 + 5*q - 4*q + q.
2*q - 5
Collect the terms in k - 4*k - k + 5*k.
k
Collect the terms in 24 - 623*z**2 - 24.
-623*z**2
Collect the terms in 14*f**3 + 4*f**2 + 84 - 4*f**2 - 82.
14*f**3 + 2
Collect the terms in -452*m**2 + 220*m**2 + 221*m**2.
-11*m**2
Collect the terms in -4 - p + 27 + 107 + 72.
-p + 202
Collect the terms in 513 - 513 - 3*x.
-3*x
Collect the terms in 0 + 6*s**3 + 6 + 0.
6*s**3 + 6
Collect the terms in -o - 40*o**3 + 2530 - 2530.
-40*o**3 - o
Collect the terms in -7 + 17*i + 2 + 5 - 18*i.
-i
Collect the terms in -2*r**2 - 3372*r + 3372*r.
-2*r**2
Collect the terms in -21*a**2 + 10*a**2 + 14*a**2.
3*a**2
Collect the terms in 7*l**2 + 5*l**2 + 2*l**2 + 2*l**2.
16*l**2
Collect the terms in -2*w + 2*w - 4*w + w.
-3*w
Collect the terms in 2 - 2 - 36*c**2 + 58*c**2.
22*c**2
Collect the terms in -360*i**2 + 96 - 96.
-360*i**2
Collect the terms in -116*b + 240*b - 123*b.
b
Collect the terms in 0 - 24*x**3 - 2*x**3 + 0.
-26*x**3
Collect the terms in 2*f - 11 - 4*f + 14.
-2*f + 3
Collect the terms in 4*t - 3*t - 3 + 2 - 1.
t - 2
Collect the terms in -32*k**2 + 16*k**2 + 0*k + 0*k + 19*k**2.
3*k**2
Collect the terms in 58*h**2 + 274 - 274.
58*h**2
Collect the terms in -2*r + 4080 - 4080 - 2*r.
-4*r
Col | {
"pile_set_name": "DM Mathematics"
} |
Find the common denominator of -1/576580 and -91/9988.
6342380
Find the common denominator of 107/211500 and -179/33300.
7825500
What is the common denominator of 13/23064 and -85/1418064?
43959984
Calculate the common denominator of 49/355788 and -65/4244.
377491068
What is the least common multiple of 14196375 and 2839275?
14196375
Find the common denominator of 67/12354 and -6/51901.
9030774
Calculate the smallest common multiple of 700 and 407960.
2039800
What is the common denominator of -6/17961463 and 16/39?
53884389
Find the common denominator of 41/1060296 and 123/3534320.
10602960
What is the smallest common multiple of 34479600 and 283200?
137918400
Find the common denominator of 191/660 and -139/10815310.
64891860
Find the common denominator of 91/276 and 11/17983608.
17983608
What is the least common multiple of 8938 and 182214537?
364429074
What is the smallest common multiple of 81077836 and 60808377?
243233508
Calculate the least common multiple of 597636 and 14047.
6573996
Calculate the common denominator of -4/4260117 and -46/267.
379150413
Calculate the smallest common multiple of 9808 and 32800.
20106400
Calculate the smallest common multiple of 151565400 and 1317960.
151565400
What is the common denominator of -22/10888265 and 29/65?
141547445
Find the common denominator of -23/6010 and -103/10085982.
50429910
What is the smallest common multiple of 78796472 and 39656?
78796472
Calculate the lowest common multiple of 1106 and 1684956.
133111524
What is the smallest common multiple of 125 and 20493?
2561625
Calculate the common denominator of -13/20660102 and -61/216931071.
433862142
What is the common denominator of 113/14022 and -1/10709692?
96387228
Calculate the least common multiple of 1830 and 40366445.
242198670
What is the lowest common multiple of 52380 and 87471?
509081220
Find the common denominator of -35/1804 and -103/11064752.
121712272
Calculate the lowest common multiple of 90 and 9884210.
88957890
Find the common denominator of -139/102 and -125/3064926.
52103742
What is the least common multiple of 167652 and 36?
167652
Calculate the smallest common multiple of 6413508 and 20.
32067540
Calculate the lowest common multiple of 68040 and 51030.
204120
What is the lowest common multiple of 10690487 and 262?
2800907594
Calculate the common denominator of -76/17325 and -149/26466.
13894650
Calculate the common denominator of 37/4486 and -5/16992968.
16992968
Find the common denominator of 79/1253786 and -97/166.
104064238
Calculate the smallest common multiple of 637686 and 4788.
24232068
What is the smallest common multiple of 3340440 and 5040?
46766160
What is the smallest common multiple of 454360 and 185?
454360
What is the common denominator of 23/1381974 and -31/44?
2763948
Calculate the lowest common multiple of 57605382 and 9600897.
57605382
What is the common denominator of -9/48662 and -81/1120?
27250720
Calculate the common denominator of -13/228088 and 5/182.
2965144
Find the common denominator of 35/6 and 5/7877986.
23633958
Calculate the least common multiple of 107124 and 156.
1392612
Calculate the least common multiple of 54142542 and 495.
2977839810
What is the common denominator of 59/11484 and -127/206316?
5983164
What is the common denominator of 137/16423170 and -107/645855?
114962190
Find the common denominator of 157/588563076 and 99/4.
588563076
What is the common denominator of -19/17299689 and 163/66?
34599378
Calculate the common denominator of 11/20195728 and 43/1527408.
181761552
Find the common denominator of -89/354456 and -103/402840.
661060440
What is the smallest common multiple of 931 and 32358767?
32358767
Find the common denominator of 131/5562732 and 45/2251582.
94566444
Calculate the common denominator of 67/19348 and -31/1293552.
9054864
Calculate the lowest common multiple of 8381541 and 367590441.
2573133087
What is the lowest common multiple of 939000 and 375?
939000
Calculate the lowest common multiple of 20 and 290752082.
2907520820
What is the least common multiple of 89624 and 2799?
250857576
Calculate the lowest common multiple of 300 and 607860.
3039300
Calculate the common denominator of 93/6881920 and -59/161295.
20645760
What is the common denominator of 157/1260168 and -131/3640?
6300840
Find the common denominator of -83/6 and -43/51772506.
51772506
Find the common denominator of -4/1172607 and 29/126.
49249494
What is the common denominator of 55/1602042 and 139/1591554?
972439494
Calculate the common denominator of 81/9703250 and 34/892625.
1872727250
What is the lowest common multiple of 3989350 and 4197490?
482711350
Calculate the least common multiple of 605 and 3465.
38115
Calculate the lowest common multiple of 4 and 14903718.
29807436
Calculate the lowest common multiple of 636 and 121964130.
243928260
Calculate the least common multiple of 16627632 and 2375376.
16627632
Calculate the smallest common multiple of 1094269 and 3600498.
111615438
Calculate the smallest common multiple of 96294 and 3212.
14058924
What is the least common multiple of 41117058 and 6?
41117058
Calculate the least common multiple of 39 and 2420652.
2420652
What is the least common multiple of 18259 and 39824?
38270864
What is the least common multiple of 232812388 and 14512?
931249552
What is the common denominator of -83/13365 and 17/7506675?
22520025
Calculate the least common multiple of 129024 and 384.
129024
What is the common denominator of 97/168 and -19/39074700?
78149400
Calculate the common denominator of -18/60082217 and -35/1653639.
180246651
Find the common denominator of -187/4860 and 139/21020310.
126121860
What is the smallest common multiple of 42 and 180490590?
180490590
What is the lowest common multiple of 16574565 and 7095?
182320215
Calculate the smallest common multiple of 1150296 and 28056.
1150296
Calculate the smallest common multiple of 14 and 47787772.
334514404
Calculate the smallest common multiple of 395925 and 25180830.
125904150
Calculate the common denominator of -23/483888438 and -81/14.
3387219066
What is the common denominator of 83/30708 and 41/483156?
412132068
Calculate the lowest common multiple of 76 and 20096452.
20096452
Calculate the smallest common multiple of 1025982 and 688.
352937808
Calculate the common denominator of -17/8328 and 29/99144.
34402968
What is the lowest common multiple of 53802 and 457632?
195408864
Calculate the common denominator of -19/84415 and -30/725969.
3629845
Find the common denominator of -89/3473940 and -53/444.
128535780
What is the lowest common multiple of 1954925 and 275?
21504175
What is the common denominator of -85/9013928 and -9/409724?
9013928
Calculate the least common multiple of 290 and 2734236.
13671180
Calculate the smallest common multiple of 6308 and 3648.
302784
Calculate the least common multiple of 1010210 and 28.
14142940
Calculate the smallest common multiple of 37528412 and 18764206.
37528412
What is the common denominator of 12/3723569 and 33/2?
7447138
Calculate the smallest common multiple of 164968 and 259080.
314264040
What is the lowest common multiple of 366465 and 99?
1099395
Calculate the common denominator of 67/10 and 113/2082620.
2082620
Calculate the lowest common multiple of 837866 and 1675732.
1675732
What is the common denominator of 47/1634432 and -109/98883136?
197766272
What is the lowest common multiple of 2148045 and 690?
98810070
What is the common denominator of 95/168 and -167/494088?
494088
Calculate the smallest common multiple of 787116124 and 6.
2361348372
Calculate the lowest common multiple of 33771722 and 7915.
168858610
What is the smallest common multiple of 388008 and 936?
5044104
What is the lowest common multiple of 3305246 and 15167?
1728643658
Calculate the common denominator of -53/28 and -119/8056620.
56396340
What is the smallest common multiple of 4854546 and 19777780?
534000060
Find the common denominator of 109/18 and -101/7375226.
66377034
Calculate the common denominator of -119/1620 and 143/143570.
23258340
Find the common denominator of -44/7385 and 20/749.
790195
Calculate the common denominator of -31/285783 and 16/5239355.
15718065
What is the smallest common multiple of 107760 and 588960?
264443040
What is the least common | {
"pile_set_name": "DM Mathematics"
} |
b
Suppose -25 = -x - 34. Let u be (-12)/x*6/(-20). Let q = 21.061 - 0.061. Which is the closest to u? (a) q (b) 0.3 (c) 4
b
Let n = -226.97 + 227.17. Which is the closest to 0.03? (a) -128 (b) n (c) 5
b
Let h = 13663 - 13658. Which is the nearest to -2? (a) 1 (b) 414 (c) 2/3 (d) h
c
Let z be ((-42)/15)/7 - 309/(-310). Let v = 3/31 - z. Let j = -0.07 + -4.93. Which is the closest to -0.1? (a) j (b) v (c) -2/11
c
Let u = 0.14 + -1.74. Suppose -f + 9*j + 31 = 5*j, -f - 3*j = 32. Which is the nearest to -0.1? (a) f (b) u (c) 2/11
c
Let n = 3999 + -4003. Which is the nearest to -0.052? (a) 4/3 (b) -2/5 (c) 0.2 (d) n
c
Let z = 0.03624 - -0.36376. Which is the nearest to 0.172? (a) 4 (b) 5 (c) z (d) -0.2
c
Let j = 36 + -16. Let b = -148 + 167.6. Let l = j - b. What is the closest to 1 in 4, -15, l?
l
Let p = -16 + 15.5. Let l = 5.5 + p. Let g = 5.3 - l. Which is the closest to 2/5? (a) 2 (b) g (c) 3/5
b
Let o be 2/(-4) + 329/70 - 4. Let j be 392/608 - (-2)/19. What is the nearest to -1 in -1.6, o, j?
-1.6
Let h(m) = -m**2 + 32*m - 155. Let k be h(26). Let d = 9 + -55/6. What is the closest to k in d, -2/11, -5?
d
Let h(f) = -131*f - 10. Let r be h(-2). Let z be -1 - (r/(-570))/((-8)/(-20)). Let g be -2 + (-5)/((-45)/24). What is the closest to g in z, -0.5, 0?
z
Let x(p) = -18*p - 107. Let w be x(-6). Which is the nearest to w? (a) 10/3 (b) 3 (c) -25 (d) 2
d
Let q = 2791 - 2790.6. Which is the nearest to 2/5? (a) q (b) -21/4 (c) 1/3
a
Let c be 10/25*6/4. Let h be (-2)/6 - (-53)/6678*14. What is the closest to h in -0.5, c, 2/23?
-0.5
Let s = 278 - 287. Let d be s - 2*232/(-48). What is the closest to d in -3/2, -1, -2, -4?
-1
Let y = -2.585 - -2.475. Which is the nearest to y? (a) 5 (b) -2 (c) 6
b
Let i = 2616 + -2616. What is the closest to 0.1 in i, -3, 1/3, -126?
i
Let p(h) = 5 + 6*h - 2 - 2 - 5*h. Let r be p(-3). Let j be r/(-11) - 133/308. Which is the nearest to 1? (a) 0.3 (b) j (c) -2/5
a
Let f = 1/54 - 77/1242. Suppose 0 = 87*z + 77 + 10. What is the closest to -0.1 in f, z, 1?
f
Let h = 508 + -512. Let y = -32.2 - -32. What is the nearest to 1 in h, y, 18?
y
Let f = 4020.03 + -3989. Let r = f - 31. Let t = r + 1.97. Which is the closest to -3? (a) -1 (b) t (c) 5
a
Let l = -4/3899 - -11705/7798. Which is the closest to 1662/11? (a) l (b) -0.2 (c) -0.3
a
Let n = -20 - -104/5. What is the closest to -3/2 in -9, n, 1?
n
Let q = -3200 + 67198/21. Suppose 3*u = 6*u. Let h = -0.1 - 0. Which is the nearest to h? (a) u (b) q (c) 4
b
Let u = 2794.8 - 2795. Which is the closest to -3? (a) u (b) 1/3 (c) -2/7 (d) 6
c
Let t = 11 - -2. Let l = -9 + t. Let s = -1.681 + -1.319. What is the closest to s in 0, -1, l?
-1
Let w be (-50)/60 - 3*(-6)/(-27). Let q = 16 + -14.4. Let p = q + -1.7. Which is the nearest to p? (a) w (b) 0.2 (c) 0.5
b
Let h = 149.6 - 136. Let j = h + -9.6. Let n = -130.1 + 130. Which is the closest to n? (a) 5 (b) -1 (c) j
b
Let l = 15074 - 15074. What is the nearest to -0.1 in l, 0.0356, -2/7?
l
Let r = 226/69 - 6416/2001. Let d = -6 - -6.4. Which is the closest to -1? (a) -0.09 (b) r (c) d
a
Let x = 27954/5 + -5603. Which is the nearest to 0? (a) -2/7 (b) 1/2 (c) x (d) 2
a
Let k be (-4 - 108/(-28)) + 129/(-28). Which is the nearest to k? (a) 0.2 (b) 2 (c) 15 (d) 2/3
a
Let o = -67 + 67.4. Let x = 231/458 - 1/229. Let k = 0.42 - -0.08. What is the nearest to x in o, 8, k?
k
Let g be 39/(-12) + (-2)/(-8). Let f(h) = -h**2 + 229*h - 12575. Let d be f(138). What is the nearest to d in g, 0.3, 0.1?
g
Let o(u) = 194*u + 3472. Let f be o(-18). What is the closest to 0.098 in 1/2, -1/10, f?
-1/10
Let g = -1.865 + 1.365. Let p = 4/13 + 5/26. What is the closest to -0.3 in p, g, -5?
g
Let t = -2686 - -40292/15. Let i = 8 + -7.7. Let d = -0.03 + 4.03. Which is the closest to -9? (a) i (b) t (c) d
b
Suppose -5*o + 4*o = -4*o + o. Which is the nearest to 0.7? (a) o (b) -0.14 (c) 2/5
c
Let q = -25568 - -25575. Which is the nearest to 0.07? (a) 5 (b) -3/4 (c) q (d) -4
b
Suppose 8*k - 2*n - 666 = 6*k, -3*n + 1360 = 4*k. Let z = 338 - k. Let y be (-12)/(-9)*2/(-8). Which is the closest to z? (a) 0.3 (b) y (c) 0
a
Let r(n) = -7*n + 73. Let z be r(10). Suppose 5*f = -2*w + 2 + 6, 4*f = 5*w + 13. What is the nearest to -1 in 2/7, z, f?
2/7
Let m be -4 + 6 - 6/8. Let o = 0 - 2. Let b be ((2/14)/(11/22))/(-1). What is the nearest to o in -1/9, m, b?
b
Suppose -5*g = -2*g. Let k = -5 + g. Suppose 0 = -24*x + 60*x + 144. Which is the nearest to 2/5? (a) 6 (b) x (c) k
b
Let r = 3157.79 + -3156.9. Which is the closest to r? (a) 10 (b) 0.3 (c) 2/7
b
Suppose i + 110 = -10*i + 154. Suppose 12 = 2*r + 2*r + 4*f, -5*r + 27 = -f. Suppose 1 = r*l - 4. Which is the closest to -1? (a) i (b) -0.5 (c) l
b
Let y = -923 + 922.9. Which is the closest to 1/4? (a) 5 (b) -93 (c) y
c
Let t = 18446.5 + -18446. Which is the nearest to -2? (a) 0 (b) t (c) 3/14 (d) 0.03
a
Let d = 4199/5 + -17811/20. Let j = 51 + d. Let m = 2.015 - 0.015. What is the nearest to 0.1 in m, 3/2, j?
j
Let x be -1 - ((2 - -1) + (-1050)/280). Let c = 1 - -1. Let v = -0.3 + 0.7. What is the nearest to c in v, x, 5?
v
Let d = -3850 - -30797/8. What is the nearest to 0.2 in 1/3, -5/3, d, 4?
1/3
Let u = 715 - 715. Let f = 235 + -275. Which is the nearest to u? (a) 0.5 (b) 2/9 (c) 0.1 (d) f
c
Let g = -86 + 36. Let o be (-15)/g + 10/100. Which is the closest to -1/2? (a) 2 (b) o (c) -9
b
Let u be 2 - ((-871)/(-165) + -4). Let l = -3/55 + u. Let z = 0 - -4. Which is the nearest to -0.1? (a) 0.1 (b) z (c) l
a
Let l be (-2 + (-13)/(-6))*2. Let x be (2/4)/((-3)/24). Let f = -105.1 - -105. Which is the nearest to l? (a) f (b) x (c) 1/5
c
Let m = 119 - 107. Let i be 9/(126/8)*(-21)/(-30). Let l = 0 + 0.2. Which is the closest to i? (a) l (b) m (c) -3
a
Let a = -17 - -17.14. Let h = -5597/11082 + 28/5541. What is the closest to -1 in h, 2/15, a?
h
Let l = 34.71 + -34.81. What is the closest to l in -6/13, 4, 1/2?
-6/13
Let v = 148 - 147. Let m = -138 + 413/3. Which is the nearest to 0.2? (a) m (b) v (c) 0.8
a
Let u = 3.3576 - 0.3576. What is the nearest to 0.3 in -94, u, 1/3, 0?
1/3
Let n = -0.8336 + 2.8336. Which is the nearest to 2/5? (a) 6/5 (b) n (c) -3
a
Let n = -15462 + 15457. What is the closest to 33 in -3, -2/9, n, -1/3?
-2/9
Let v = 2567 - 2565. What is the closest to v in 2, -5, -2, -3.4?
2
Let o be 0 - 5/(-4) - (-1443)/(-1036). What is the closest to o in -2/17, -1/7, -0.5?
-1/7
Let t = 19492 - 19493. Which is the nearest to t? (a) 1/9 (b) -2 (c) 6 (d) 0.4
b
Let f = -0.24 - -0.04. Let z = 5.347 + -5.247. Which is the nearest to z? (a) f (b) 0 (c) -2/9
b
Let m = 19 + -32. Let s = -8 - -4. Let y = -69/19 - -659/171. Which is the nearest to y? (a) m (b) s (c) -0.1
c
Let s = -0.1873 + 50.1873. Which is the nearest to 0.2? (a) 2 (b) 0 (c) s
b
Let r be 60/(-21) - -2 - (-13832)/19110. Which is the nearest to 3? (a) r (b) 0.5 (c) 5 (d) 2/5
c
Let f = 8632 + -8636. Which is the nearest to 28? (a) -0.4 (b) 0.3 (c) f (d) 4
d
Let l = 208/7 + -2274/77. Let i be (6/(-4))/1 - -1. Which is the closest to i? (a) l (b) -3 (c) -1/5
c
Let g = -0.03 - -0.06. Let h = 27/1364 - -2485/12276. Which is the nearest to -1? (a) h (b) g (c) 3
b
Suppose 0 = -3*m + 2*o + 70, 2*m + 7 = -2*o + 67. Suppose 0 = i + 136 - 133, -5*i = -d + 13. Which is the closest to -0.1? (a) d (b) -4/3 (c) m
b
Let c be (-1)/2 - 45/(-130). Let o = 0.1 + -0.2. Let m = 0.4477 + -0.4477. What is the nearest to m in c, -5/3, o?
o
Let z = -3443 - -3439. What is the closest to 0 in 5, z, 0.5, 0.01?
0.01
Let i = -469.1 - -469.1. What is the closest to -1 in i, -0.2, -34?
-0.2
Let f(g) = g**3 + 10*g**2 - 25*g - 17. Let t be f(-12). Let v be (145/(-30) - t) + (-26)/48. Let y = 8.3 - 8. What is the nearest to -0.01 in y, -5, v?
y
Let w = -3.3 + 0.3. Let r = -9006 + 9005.6. Let i(d) = -d**3 - 6*d**2 - 5*d - 2. Let h be i(-5). What is the nearest to 0.2 in h, w, r?
r
Let s = -4 + 1. Let m = 1 - s. Suppose 2*j - 8 = 0, 4*n - 4*j = n - 25. Which is the nearest to 1? (a) 3 (b) m (c) n
a
Let k = 50.9 - 51. Let i = -2.9778 + -0.0222. What is the nearest to k in i, 5, 0.5?
0.5
Let p(f) = f**3 - 5*f**2 + f + 5. Let b be p(3 | {
"pile_set_name": "DM Mathematics"
} |
= f**3 - 2*f**2 - 4*f - 1. Give s(3).
-4
Let r(h) = h**3 - 17*h**2 + 32*h - 18. What is r(15)?
12
Let c(t) = t**3 - 9*t**2 - 12*t + 8. Calculate c(10).
-12
Let n(d) = -11*d**2. Calculate n(-1).
-11
Let m(c) = c**2 + 20*c + 105. Give m(-13).
14
Let l(x) = x**2 - 14*x + 36. Give l(11).
3
Let v(x) = x**3 - 15*x**2 - 17*x + 28. Give v(16).
12
Let s(m) = m**2 - 13*m + 13. Give s(16).
61
Let k(g) = 3*g**2 - 43*g - 21. What is k(15)?
9
Let u(w) = w**2 + 2*w - 3. Give u(-2).
-3
Let o(y) = y**2 - 11*y - 1. Calculate o(12).
11
Let m(q) = 3*q**2 + 8*q + 16. Calculate m(-3).
19
Let r(n) = n**3 - 7*n**2 + 7*n - 10. Calculate r(5).
-25
Let v(n) = n + 4. What is v(3)?
7
Let u(x) = 2*x + 40. Calculate u(-19).
2
Let l(d) = -d + 15. Calculate l(14).
1
Let p(s) = -4*s**2 + 2*s - 9. Give p(2).
-21
Let d(s) = 3*s**3 - s**2 - 7*s - 3. Calculate d(-2).
-17
Let g(v) = -2*v**2 + 13*v + 27. Calculate g(8).
3
Let d(n) = 8*n**3 - 6*n + 3. Determine d(2).
55
Let b(v) = v - 5. Determine b(3).
-2
Let l(z) = -z**3 - 7*z**2 - 5*z + 8. Calculate l(-6).
2
Let o(b) = b + 2. Give o(4).
6
Let b(p) = -2*p**3 - 2*p - 4. Determine b(3).
-64
Let b(w) = -42*w + 130. Calculate b(3).
4
Let m(d) = -9*d**2 + 63*d + 7. Give m(7).
7
Let q(s) = s**3 + 11*s**2 - 11*s + 13. Give q(-12).
1
Let p(i) = -i + 1. Determine p(-7).
8
Let r(y) = -2*y**3 - 21*y - 21. Determine r(-1).
2
Let p(z) = -31*z + 807. Calculate p(26).
1
Let m(k) = -2*k**3 - 16*k**2 - 28*k + 11. What is m(-5)?
1
Let r(y) = -2*y - 15. Calculate r(-10).
5
Let d(q) = -q**3 - 21*q**2 + 17*q - 42. What is d(-22)?
68
Let k(x) = x**2 + 7*x - 13. What is k(-9)?
5
Let a(l) = l**3 + 6*l**2 - 6*l + 3. What is a(-7)?
-4
Let r(i) = 2*i**2 - 21*i - 23. Calculate r(12).
13
Let r(s) = -5*s - 6. Determine r(10).
-56
Let f(u) = -2*u**3 + u**2 + 5*u + 5. Determine f(-2).
15
Let c(s) = -135*s - 681. Calculate c(-5).
-6
Let k(b) = 2*b**2 + 32*b - 31. Calculate k(-17).
3
Let c(w) = -2*w**2 - 23*w - 36. Give c(-9).
9
Let x(v) = v - 31. Give x(14).
-17
Let c(f) = f**3 - 6*f**2 + 13*f - 7. Determine c(4).
13
Let j(k) = k**3 - 2*k**2 - 6*k - 10. Calculate j(4).
-2
Let b(a) = 36*a**3 - a**2 - a. Determine b(-1).
-36
Let l(z) = -z - 10. Calculate l(-3).
-7
Let i(f) = -f**3 + 25*f**2 - 22*f - 43. Calculate i(24).
5
Let q(v) = -6*v**3 - v - 1. Determine q(-1).
6
Let g(d) = -d**2 - 18*d + 224. Determine g(-26).
16
Let n(f) = f**3 - 7*f**2 + 7*f - 22. Determine n(8).
98
Let v(f) = 5*f**2 + f - 5. Calculate v(-5).
115
Let g(v) = -2*v**2 + 19*v - 27. Give g(8).
-3
Let b(m) = -m**2 - 73*m + 228. What is b(3)?
0
Let c(o) = o - 22. Calculate c(19).
-3
Let d(p) = 4*p**2 - 27*p + 22. Give d(7).
29
Let h(v) = v**2 - v - 2. What is h(0)?
-2
Let j(u) = u**3 - 7*u**2 - 2*u - 11. Calculate j(8).
37
Let l(k) = -k**2 + 15*k - 14. Calculate l(14).
0
Let b(j) = 5*j - 44. Give b(10).
6
Let d(f) = 13*f**2 + 1. What is d(1)?
14
Let s(q) = -12*q - 4. Give s(-2).
20
Let k(p) = 2*p**2 - 5*p + 3. What is k(4)?
15
Let j(g) = -g**3 - 5*g**2 + 3*g + 2. Give j(-6).
20
Let v(d) = -8*d - 18. Determine v(8).
-82
Let k(g) = -3*g - 25. Give k(-9).
2
Let g(t) = -2*t**3 - 8*t**2 + 12*t. Calculate g(-5).
-10
Let m(p) = -p**3 + 3*p**2 + 5*p - 5. What is m(2)?
9
Let w(i) = 20*i**3 + 2*i**2 - 1. Give w(-1).
-19
Let w(n) = -4*n - 37. Calculate w(-16).
27
Let m(l) = l**2 - 36*l - 15. Give m(26).
-275
Let u(q) = -q**3 - 36*q**2 + 40*q + 110. Determine u(-37).
-1
Let r(c) = 3*c. What is r(-2)?
-6
Let s(v) = 3*v**2 - 25*v - 14. Calculate s(9).
4
Let a(b) = -5*b - 103. Calculate a(-37).
82
Let u(v) = -24*v**3 - v**2 + v. Give u(1).
-24
Let v(m) = -2*m**2 - 5*m + 8. Calculate v(-5).
-17
Let f(c) = c**2 - 9*c - 11. Calculate f(10).
-1
Let k(j) = -2*j**2 + 9*j + 3. Calculate k(5).
-2
Let u(r) = r**3 + r**2 + 2*r - 1. Calculate u(-4).
-57
Let k(r) = -r**3 + 13*r**2 - 12*r + 4. What is k(12)?
4
Let p(w) = -w**2 + 2*w + 2. What is p(-8)?
-78
Let z(f) = -f**3 + f**2 + 31*f - 2. Give z(-5).
-7
Let j(m) = 2*m - 30. Determine j(10).
-10
Let h(b) = -b**2 - 9*b - 7. Determine h(-5).
13
Let a(r) = -2*r - 12. Determine a(-7).
2
Let q(t) = -6*t**2 + 4*t. Determine q(3).
-42
Let r(h) = -2*h**2 + 12*h. Give r(5).
10
Let f(n) = -3*n - 35. Calculate f(-8).
-11
Let m(y) = -y**2 - 6*y + 16. Give m(-8).
0
Let b(l) = -2*l - 33. What is b(-11)?
-11
Let w(q) = -11*q - 2. Give w(2).
-24
Let w(i) = -i**3 + 8*i**2 + 9*i. Give w(9).
0
Let f(l) = -l**3 - 9*l**2 + 8*l + 30. Calculate f(-10).
50
Let p(i) = -i**3 + 7*i**2 + i + 7. What is p(8)?
-49
Let r(q) = -5*q**2 + q. Determine r(2).
-18
Let b(x) = 22*x - 160. Give b(7).
-6
Let c(t) = -t**2 - 11*t - 5. What is c(-11)?
-5
Let j(h) = -2*h - 3. What is j(6)?
-15
Let k(y) = -7*y**2 - 19*y - 26. Calculate k(-2).
-16
Let v(i) = -17*i + 6. Give v(-3).
57
Let h(z) = -z**3 - 9*z**2 - 7*z - 18. What is h(-8)?
-26
Let u(h) = 6*h + 19. Calculate u(-16).
-77
Let u(n) = -n - 5. Determine u(4).
-9
Let t(n) = n**3 + 16*n**2 - 2*n - 23. Determine t(-16).
9
Let u(b) = 7*b**3 + 2. Give u(-2).
-54
Let w(i) = 2*i**2 + 54*i - 54. What is w(-28)?
2
Let q(s) = -2*s**2 + 18*s - 15. Calculate q(9).
-15
Let w(a) = a**3 + 11*a**2 - 10. Calculate w(-11).
-10
Let w(j) = -j**3 - 7*j**2 - 1. Give w(-5).
-51
Let z(u) = u**3 + 3*u**2 + 6*u + 16. Calculate z(-5).
-64
Let d(t) = -t**3 + 3*t**2 - 4*t - 4. Determine d(5).
-74
Let r(l) = -l**3 - l**2 + 2*l + 26. Determine r(0).
26
Let k(b) = 21*b - 81. Calculate k(6).
45
Let s(g) = 13*g + 333. Give s(-26).
-5
Let t(u) = 18*u - 2. Calculate t(2).
34
Let z(p) = -4*p - 4. Give z(5).
-24
Let a(q) = -2*q**3 - 34*q**2 + q + 9. Give a(-17).
-8
Let d(j) = -j**2 - j - 7. Calculate d(-10).
-97
Let j(m) = m**2 + 27*m - 49. Calculate j(-29).
9
Let m(l) = -l**3 - 8*l**2 - 8*l + 4. Calculate m(-7).
11
Let z(h) = 3*h**2 + 38*h + 59. Determine z(-11).
4
Let z(o) = o**3 + 9*o**2 + 7*o - 10. Determine z(-8).
-2
Let r(y) = -y**3 + 3*y**2 + 3*y - 5. Give r(4).
-9
Let w(r) = -8*r - 3. Calculate w(4).
-35
Let d(w) = -w**3 + 7*w**2 - 2*w - 23. Determine d(6).
1
Let m(s) = 2*s + 9. What is m(-7)?
-5
Let j(w) = -6*w**2 + 8*w - 6. Determine j(4).
-70
Let h(v) = 3*v**2 - 32*v - 24. Give h(12).
24
Let h(s) = -11*s**2 + 25*s + 3. Determine h(2).
9
Let h(m) = m**3 + 2*m**2 - 7*m - 3. What is h(-3)?
9
Let t(r) = -r**3 - 3*r**2 + 3*r + 1. What is t(-2)?
-9
Let y(u) = u**2 + 14*u - 33. Determine y(-14).
-33
Let t(m) = m + 1. What is t(4)?
5
Let j(b) = -4*b**3 + 46*b**2 - 21*b + 11. Calculate j(11).
22
Let t(x) = x**2 + 5*x - 24. What is t(-9)?
12
Let s(f) = -11*f + 2. Give s(3).
-31
Let n(l) = l**3 - 4*l**2 - 5*l + 5. Determine n(5).
5
Let o(g) = -g**2 - 3*g - 5. Give o(-2).
-3
Let i(l) = l**3 + 8*l**2 - 12*l - 13. Determine i(-9).
14
Let q(n) = -20*n + 15. Determine q(4).
-65
Let o(h) = -h**3 - h**2 + 2*h + 1. Give o(-3).
13
Let v(o) = 4*o + 5. Calculate v(5).
25
Let v(g) = g**2 - 27*g + 35. Give v(26).
9
Let c(x) = -x + 5. Determine c(9).
-4
Let x(z) = 3*z + 55. Determine x(-17).
4
Let b(r) = -28*r - 12. What is b(3)?
-96
Let n(i) = -4*i**2 + 33*i + 33. What is n(9)?
6
Let o(p) = p - 6. What is o(-8)?
-14
Let r(o) = o**2 - o - 6. Determine r(-3).
6
Let q(u) = -u**3 - 14*u**2 + 17*u + 21. Calculate q(-15).
-9
Let s(f) = -4*f + 111. Determine s(35).
-29
Let x(v) = v**2 + 7*v + 20. Give x(-4).
8
Let r(c) = -2*c - 19. Determine r(-13).
7
Let f(k) = -3*k - 3. Determine f(6).
-21
Let g(n) = -19*n - 124. What is g(-9)?
47
Let i(p) = -14*p**3 - 4*p**2 + 7*p - 2. Give i(1).
-13
Let z(c) = -c**2 + 2*c. Determine z(-2).
-8
Let v(o) = -o**2 + 6*o - 1. Determine v(7).
-8
Let g(f) = -2*f**3 + 2*f**2 - 2*f. What is g(2)?
-12
Let j(o) = -10*o + 21. Calculate j(3).
-9
Let k(c) = 6*c + 36. Give k(-11).
-30
Let j(t) = -t**2 - 9*t - 6. Calculate j(-9).
-6
Let j(u) = 2*u**2 - 4*u + 9. What is j(3)?
15
Let s(k) = k**3 + k + 8. Determine s(0).
8
Let y(t) = -t**2 - 13*t - 37. Determine y(-10).
-7
Let v(c) = -c**3 + 4*c + 3. Give v(-2).
3
Let z(r) = -155*r - 924. Determine z(-6).
6
Let u(y) = 9*y - 44. What is u(2)?
-26
Let h(c) = -c**3 - 4*c**2 - 7. What is h(-4)?
-7
Let y(j) = -j**3 - 7*j**2 - 9*j - 15. Determine y(-6).
3
Let f(u) = -4*u**2 - 8*u + 1. Calculate f(-3).
-11
Let r(b) = -76*b - 303. Give r(-4).
1
Let v(c) = c**2 - 4*c - 5. What is v(-5)?
40
Let z(v) = v**2 + 7*v - 8. What is z(-9)?
10
Let t(k) = -k**3 - 3*k | {
"pile_set_name": "DM Mathematics"
} |
2 - 1 - (5 + -3). Suppose -4 = -4*f + c, -4*f - 8 = -6*c + 2*c. Let h(y) = -35*y. Let g(u) = -7*u. Let r(i) = f*h(i) - 11*g(i). What is r(v)?
-7
Let j(r) = -2*r + 5*r**2 + 23*r**3 - 22*r**3 - r. Determine j(-6).
-18
Let s(y) = 2*y**3 - y**2 + y. Let z(n) = -5*n**3 - 2*n**2 + 4*n + 6. Let b(g) = -2*s(g) - z(g). Determine b(-5).
-1
Let u(s) = 2*s**2 - 4*s. Let t(w) = 2*w**2 - 5*w - 1. Let v(p) = 2*t(p) - 3*u(p). Calculate v(2).
-6
Suppose -19 = -2*j - n - 0*n, 4*j = 3*n + 13. Let o(q) = -3*q + 0*q + 2*q - j. Give o(-5).
-2
Suppose -4*u = -q - 13, 0 = -2*q - 9 - 1. Suppose 0 = g + u*m - 14 - 1, -4*m + 45 = 5*g. Let k(i) = 1 - 2*i + 0 - g + 0*i. Calculate k(-4).
4
Let c(b) = b**3 - 2*b**2 + 1. Suppose -10*g + 12 = -4*g. Give c(g).
1
Let k(v) be the second derivative of v**5/20 + 2*v**4/3 + 4*v**3/3 + 9*v**2/2 + 16*v. Determine k(-7).
2
Let n(x) = -3*x - 5. Let z be n(-6). Let w = z - 7. Let m be (-1)/w*-3*-2. Let c(r) = -4*r. Calculate c(m).
4
Let b(c) be the first derivative of -c**2 - 6*c + 2. Suppose 2*s = -j - 14, -4*j - s - 6 = -3*s. What is b(j)?
2
Suppose 3 = x - 0. Let j = 3 - -1. Let l(t) = 5 + x - t - j. Determine l(0).
4
Let p(y) be the third derivative of -y**7/420 + y**5/120 + y**4/24 - y**3/2 + 2*y**2. Let t(h) be the first derivative of p(h). Give t(-1).
2
Let y(g) = 10*g**2 - 7*g - 7. Let t(s) = -s**2 + s + 1. Let u(q) = -14*t(q) - 2*y(q). Suppose 61 = 5*j + 66. Calculate u(j).
-6
Suppose 3*n + 1 = 5*g - 14, -3*n - 3*g - 15 = 0. Let x(p) be the first derivative of -1 + 5*p + 1/2*p**2. Calculate x(n).
0
Suppose 0 = -2*d - 6*d + 3*d. Let f(w) = w + 25. Give f(d).
25
Let p(u) = -u**2 - 8*u + 2. Suppose -45*h + 40 = -50*h. Calculate p(h).
2
Let y(g) = -g - 7. Let k be y(-8). Suppose -3*h - k = -13. Let c(p) = -p - 2. Determine c(h).
-6
Let p(f) be the second derivative of -f**5/20 - f**4/2 - f**3/3 + 3*f**2 - 2*f. Let z be (-2)/5 - (-69)/(-15). What is p(z)?
-9
Let f(d) = d + 8 - 15 - d**2 + 2. Calculate f(0).
-5
Let m(f) = f**2 - 2*f + 1. Let j be m(2). Let q(w) be the first derivative of -5 + 3*w + j + 3 - w**2. Determine q(3).
-3
Let t(c) = -2*c**3 - 6*c**2 + 3*c - 7 + c**2 - 5. Let z(s) = -s**3 - 3*s**2 + 2*s - 6. Let y(v) = -2*t(v) + 5*z(v). Suppose 2*r - 3*r = 6. What is y(r)?
6
Let r(i) = 2*i**3 - 3*i**2 + 2*i. Let l(b) = b + 5. Let s = 2 - 5. Let c be l(s). Let d be (2 + -5)/((-3)/c). What is r(d)?
8
Let p(f) = f - 1. Let m be 504/(-48)*((-5)/3 - -1). What is p(m)?
6
Suppose -8 - 2 = -2*o - h, -4*o = h - 18. Let s be (2/o)/((-4)/(-24)). Let d(t) = t**2 - t. Give d(s).
6
Let h = -12 - -8. Let u(i) be the first derivative of -2*i**3/3 - 5*i**2/2 + 3*i + 6. Give u(h).
-9
Let k(r) = 6*r + 4 + 4 - 7*r. Calculate k(6).
2
Let m(j) be the first derivative of j**3/3 - 4*j**2 + 10*j + 21. Determine m(8).
10
Let m be (-30)/(-8) - (-1)/4. Let n(w) = w**2 - 5*w + 6. Let s be n(4). Let q(y) = -s*y + 8 - y + m*y. Calculate q(-4).
4
Let j = 3 + -2. Let s(b) = 0*b + 0 + 2 - b**2 + j + b. Calculate s(3).
-3
Let w(g) = g**3 + 3*g**2 + g + 3. Let b = 8 + -4. Let q(v) = 3*v**2 + 6 + 2*v - v**3 - 3 - b*v. Let a be q(3). Determine w(a).
0
Suppose 0 = -5*k - n - 55, -5*k - n - 45 = -k. Let w be 2/k + 305/25. Suppose -4*z = w + 4. Let d(u) = -u - 2. Calculate d(z).
2
Let f(c) = -c**3 - 4*c**2 + 4*c + 2. Let n be (-11 - -1)*2/5. Calculate f(n).
-14
Let l be ((-4)/10)/((-5)/25). Suppose 0 = 2*p - 3*n - 34, -2*n + 4*n - 64 = -3*p. Suppose l*q - p = 7*q. Let h(k) = -k - 2. Determine h(q).
2
Suppose 5*d + 3*x - 5 + 4 = 0, 2*d - 4*x - 16 = 0. Let i(l) = -5*l**2 + 4*l**2 - 3*l + 2*l**d - 2. Determine i(5).
8
Let x(l) = 4*l. Suppose 0 = -3*v - 5 - 13. Let p = v - -6. Suppose p = -5*m + m + 4. Calculate x(m).
4
Suppose m + m = 10. Let q(o) = o**3 - 5*o**2 - 3*o + 7. What is q(m)?
-8
Suppose 5*k = -10, 2*m - 2*k + 11 = 7*m. Let h(y) = 5*y + m - 1 - 3 - 2. What is h(2)?
7
Let i(o) = -o**2 - 6*o. Let u = -18 - -14. What is i(u)?
8
Let p(h) be the third derivative of h**5/60 + 5*h**4/12 + h**3/2 - 2*h**2. Let x be p(-10). Let m(a) = -4*a + 2*a + 3*a - 3*a - x. What is m(-4)?
5
Suppose 0 = -5*q + 1 - 6. Let r(t) = t**2 - t. Determine r(q).
2
Let y be 1*(1/(-1) + 9). Let p = 6 - y. Let s(o) be the second derivative of -o**4/12 - o**3/6 + o**2 + 5*o + 5. Determine s(p).
0
Let c(p) = -2*p + 0*p + p. Let f be c(-4). Suppose 2*b + 2 = 3*m + 3, -f = 4*b. Let t(q) = -2*q**2 + 1. Give t(m).
-1
Let f(u) = u**2 - 1. Let b be f(-1). Suppose 3 = w - b*w. Let y(v) = w*v + 0 + 0. Calculate y(2).
6
Let g(u) be the third derivative of 0*u - 3*u**2 - 1/3*u**3 + 1/8*u**4 + 0. Let t be (-1)/((-2)/(-4) - 1). Determine g(t).
4
Let f(x) = -x**3 - 4*x**2 - 2*x + 4. Let q be f(-4). Let i(r) = r + 12 - q + 2*r. Determine i(3).
9
Let t(c) = -2*c + 5 - 6 + 0*c + 4*c. Let n(g) = g**2 + g + 2. Let z be n(0). Give t(z).
3
Let d(s) = -s**2 - 2*s. Let n(t) = -t**2 - 17*t + 15. Let a be n(-18). Calculate d(a).
-3
Let k(j) = -j**3 - 6*j**2 - 5*j - 2. Let a be 14/(-2) - 1/1. Let u be a/3*3/2. Calculate k(u).
-14
Suppose -3*a - h + 15 = 3*h, -a = 3*h. Suppose -a = -2*f - 0*g - g, -4*f - g + 17 = 0. Let x(m) = -1 + 1 - 4*m + 5. Give x(f).
-11
Let b(j) be the third derivative of -j**4/12 + 2*j**3/3 - j**2. Let a be b(3). Let n(i) = 2*i**2 + 2*i + 1. Determine n(a).
5
Let y(w) be the third derivative of 0*w + 1/12*w**6 + 0 - w**2 + 0*w**4 - 1/30*w**5 + 1/6*w**3. Calculate y(1).
9
Let s(d) = -d + 10*d + 0*d - 8*d. Give s(4).
4
Let l(d) = -d**2 + 4*d**2 - d - 4*d - 4*d**2. What is l(-4)?
4
Let l be 2*1/(3 + -2). Suppose 5*r = i, -r + l*r - i - 4 = 0. Let q(p) = -2*p**2 + 1. Give q(r).
-1
Suppose g = 1 + 3. Let v(n) = n. Determine v(g).
4
Let d(p) = 3*p + 5. Let t be 19 + (0 - (2 - 2)). Suppose 4*l = 2*o - 20, 0 = 3*l + 3*o + t - 4. What is d(l)?
-10
Let i be 0/3 + 1 - 0. Let j(b) = -7*b**2 - 2*b + 1. Determine j(i).
-8
Let i be (1 - (-2 + 4))*-3. Let g(j) = 3*j**2 + j**i - 10 - 4*j + 10. What is g(-4)?
0
Suppose 0 = -2*y + y. Suppose y*v - 4*v = -24. Let t(i) = -i**2 + 7*i - 7. What is t(v)?
-1
Let i(n) = 2*n**2 - n**2 + 2 - 2*n - 6*n**2 - n**3 + 0*n. Calculate i(-2).
-6
Let s(x) be the second derivative of -x**5/20 + x**4/12 + x**3/6 + 3*x**2 + 18*x. Let a be 0/1*1/(-2). Calculate s(a).
6
Let a be (-2 + 0)*2/(-4). Let w(b) = 3 - 2*b**3 + 3*b - a - 3. What is w(2)?
-11
Let q(n) = -4*n + 3. Let y(b) = b**2 + 3*b + 4. Let r be y(0). What is q(r)?
-13
Let s(n) be the third derivative of n**5/60 - n**4/24 + 5*n**3/6 + 9*n**2. What is s(4)?
17
Let d(n) = n**2 - 5*n - 4. Suppose 2*o + 0*o = 24. Suppose -x + 4*j - 6*j = -o, -j + 3 = -x. Suppose -18 = -x*f - f. What is d(f)?
2
Let h(a) = 4*a + 1. Suppose -12*r - 9 + 69 = 0. Determine h(r).
21
Let f(l) be the second derivative of -l**5/20 + l**4/2 - 7*l**3/6 + 5*l**2/2 - l. Give f(5).
-5
Let m(o) = o**3 + 19 - o - 18 + 2*o**2 - o**2. What is m(-3)?
-14
Let d(y) = -y**2 + 2*y + 4. Let m be d(3). Let q(s) = -m - 2*s**2 + 0*s**2 - 4*s**2. Give q(-1).
-7
Let d(f) = f**3 + 7*f**2 - 2*f - 2. Let y(h) = -2*h**3 - 14*h**2 + 3*h + 5. Let t(w) = -13*d(w) - 6*y(w). Determine t(-8).
-4
Let z(f) = 5*f - 6*f**2 - 6*f**2 + f + 11*f**2 + 2. Calculate z(5).
7
Let x(c) = 6*c**3 + c**2 + c. Suppose -4*n + 43 = -h, 4*h = -4 - 8. Suppose y - n = -11. Give x(y).
-6
Let b(t) = t**3 - t**2 - 2*t + 1. Let u(d) = d - 10. Let l be u(10). Suppose l = -5*m - s + 7 + 13, 2*m + 3*s = -5. Suppose m*k = -1 - 9. Calculate b(k).
-7
Suppose a + 10 = -4*a. Let f(h) = h**3 + 3*h**2 + 2*h. What is f(a)?
0
Let a(w) = 0*w - 4 + 3 + w - 13*w**2. Let t(u) = -u**2 - 2*u + 9. Let g be t(2). What is a(g)?
-13
Let b(i) = -2*i**3 - 4*i - 1. Let j(g) = -2*g**3 - 5*g - 2. Let c(o) = 3*b(o) - 2*j(o). Calculate c(1).
-3
Let r(f) be the first derivative of -f**2/2 + 3*f + 1. Let p be r(0). Let d(h) = 2*h - h - 3*h - 2 + p*h. Give d(2).
0
Let j(k) be the second derivative of 3*k**5/20 + k**4/12 - k**3/6 - 44*k. Calculate j(1).
3
Let f(j) = -j**2 - 2 + 2*j + 7*j**3 - 5*j**2 - 2*j**2. Let d(z) = -7*z**2 - 2*z**3 - 1 + 5*z**3 + 3*z**3 + z. Let k(m) = 6*d(m) - 5*f(m). What is k(3)?
1
Let r(m) = -m**3 + 3*m**2 - 3*m + 2. Let w = -11 - -12. Suppose 4*a = -a + 5. Let n = w + a. What is r(n)?
0
Let z(w) = 3*w**2 - 10*w - 9. Let s(o) = -o**2 + 5*o + 4. Let u(t) = -5*s(t) - 2*z(t). Determine u(-3).
4
Let h(q) = -q + 10. L | {
"pile_set_name": "DM Mathematics"
} |
452?
567
What is next in -180, -358, -532, -702?
-868
What comes next: -175, -358, -541, -724, -907?
-1090
What is the next term in 215, 209, 203?
197
What comes next: -42, -103, -164, -225, -286, -347?
-408
What comes next: -36, -69, -102, -135, -168?
-201
What is next in -380, -392, -404, -416?
-428
What comes next: -685, -690, -693, -694?
-693
What comes next: 438, 448, 484, 558, 682, 868, 1128?
1474
What comes next: -1762, -1756, -1738, -1702, -1642, -1552, -1426, -1258?
-1042
What comes next: 32, 278, 944, 2240, 4376, 7562, 12008, 17924?
25520
What is the next term in -22, -32, -42?
-52
What is next in 12, 9, -8, -45, -108, -203?
-336
What comes next: -906, -911, -918, -927, -938, -951?
-966
What is the next term in -31, -38, -55, -88, -143, -226?
-343
What is next in -235, -197, -135, -49, 61?
195
What comes next: 47, 84, 145, 230, 339, 472, 629?
810
What is the next term in 126, 124, 122, 120?
118
What is the next term in 35, 69, 103?
137
What is the next term in -16, -20, -14, 8, 52, 124, 230?
376
What is next in 23, 35, 51, 71?
95
What is next in -19, -28, -37, -46, -55?
-64
What comes next: 1, 41, 97, 157, 209, 241, 241, 197?
97
What is next in -54, -45, -34, -21?
-6
What comes next: 68, 73, 78?
83
What comes next: 41, 91, 143, 197, 253, 311?
371
What is the next term in 189, 425, 645, 843, 1013?
1149
What comes next: -16, -18, -20, -22?
-24
What is the next term in -1544, -1542, -1540, -1538, -1536, -1534?
-1532
What is next in 7, 5, 3, 1?
-1
What comes next: -98, -196, -294, -392, -490?
-588
What is the next term in 2383, 2382, 2381?
2380
What is next in -42, -51, -62, -75?
-90
What is next in -36, -64, -82, -90, -88, -76, -54?
-22
What is the next term in 138, 135, 132, 129, 126, 123?
120
What is next in -19, -34, -61, -106, -175, -274, -409?
-586
What comes next: 48, 58, 68, 78, 88, 98?
108
What comes next: -101, -82, -59, -32, -1, 34, 73?
116
What is the next term in 4, 21, 28, 7, -60?
-191
What is next in -6, -22, -58, -120, -214, -346?
-522
What is the next term in 21, 37, 49, 57, 61, 61, 57?
49
What is next in 6, 11, 22, 39, 62, 91, 126?
167
What comes next: -1158, -2297, -3436, -4575, -5714, -6853?
-7992
What comes next: 301, 306, 311, 316?
321
What is the next term in 96, 92, 86, 78, 68, 56?
42
What is next in 31, 118, 257, 442, 667, 926, 1213?
1522
What comes next: 3, 18, 33, 48?
63
What is next in -30, -33, -20, 15, 78?
175
What comes next: 14, 3, -18, -55, -114, -201?
-322
What comes next: 29, -4, -55, -124?
-211
What comes next: -873, -872, -871?
-870
What comes next: -21, -44, -69, -96, -125, -156, -189?
-224
What is the next term in 201, 400, 599, 798, 997, 1196?
1395
What comes next: -63, -69, -75, -81, -87, -93?
-99
What comes next: -911, -947, -1007, -1091, -1199, -1331, -1487?
-1667
What comes next: 179, 180, 181, 182, 183, 184?
185
What comes next: -2, -13, -24, -35, -46, -57?
-68
What comes next: -720, -1441, -2162, -2883, -3604?
-4325
What is the next term in 48, 22, -22, -84, -164, -262, -378?
-512
What is next in -568, -2240, -5018, -8896, -13868, -19928?
-27070
What comes next: 0, -23, -56, -105, -176, -275, -408?
-581
What comes next: 272, 270, 268?
266
What comes next: -8943, -8947, -8953, -8961, -8971, -8983, -8997?
-9013
What comes next: -22, -99, -256, -517, -906, -1447?
-2164
What is next in 2747, 2751, 2757, 2765, 2775?
2787
What is next in -4661, -9321, -13981, -18641, -23301?
-27961
What is the next term in -19, -37, -65, -109, -175, -269, -397, -565?
-779
What comes next: 19, 21, 37, 73, 135, 229?
361
What is next in 14375, 14373, 14371?
14369
What is the next term in 33, 35, 47, 75, 125, 203?
315
What is the next term in 42, 50, 82, 150, 266, 442, 690, 1022?
1450
What is next in -230, -460, -690, -920, -1150, -1380?
-1610
What is the next term in 2310, 4624, 6938, 9252?
11566
What comes next: 427, 471, 515, 559, 603, 647?
691
What comes next: 114, 244, 376, 510?
646
What is the next term in 7621, 7620, 7619, 7618?
7617
What is next in -477, -946, -1405, -1854?
-2293
What is the next term in -22, -21, -12, 11, 54?
123
What is next in -169, -396, -623, -850?
-1077
What is the next term in 58, 67, 76?
85
What is the next term in 321, 636, 947, 1248, 1533, 1796?
2031
What is next in 19, 76, 171, 304?
475
What is the next term in -405, -403, -401, -399?
-397
What is the next term in -952, -1754, -2546, -3322, -4076, -4802, -5494?
-6146
What is next in -12, -11, -10, -9, -8, -7?
-6
What is next in -4, -29, -66, -115, -176?
-249
What comes next: -30, -29, -28?
-27
What is the next term in 17, 88, 211, 392, 637, 952, 1343, 1816?
2377
What is next in -11079, -11077, -11075, -11073, -11071?
-11069
What is the next term in 10, 15, 42, 103, 210?
375
What is next in 2184, 4363, 6538, 8709, 10876?
13039
What comes next: 18, 37, 46, 39, 10, -47?
-138
What is the next term in 212, 410, 606, 800?
992
What comes next: -19, -54, -151, -340, -651, -1114?
-1759
What is the next term in -678, -682, -686?
-690
What is next in -266, -1011, -2244, -3959, -6150, -8811, -11936, -15519?
-19554
What comes next: 650, 1311, 1960, 2591, 3198, 3775, 4316?
4815
What is next in -308, -389, -468, -545?
-620
What comes next: -405, -408, -413, -420, -429, -440, -453?
-468
What is the next term in -20, -24, -40, -74, -132, -220, -344, -510?
-724
What comes next: 312, 1260, 2832, 5022, 7824, 11232, 15240?
19842
What is the next term in 54, 430, 1450, 3438, 6718, 11614, 18450, 27550?
39238
What comes next: -138, -132, -122, -108, -90?
-68
What is next in -9656, -9655, -9654?
-9653
What is next in -85, -329, -739, -1321, -2081, -3025, -4159, -5489?
-7021
What is next in -92, -184, -278, -374, -472?
-572
What is the next term in 49, -16, -129, -296, -523, -816, -1181?
-1624
What comes next: 0, 58, 216, 522, 1024?
1770
What is next in -249, -484, -719?
-954
What comes next: 52, 56, 62, 70?
80
What is the next term in 42, 13, -34, -99, -182, -283, -402?
-539
What is next in -73, -229, -489, -853, -1321, -1893, -2569?
-3349
What is next in -11, -58, -191, -452, -883, -1526, -2423?
-3616
What is the next term in 12, 11, 10?
9
What is next in 634, 2527, 5684, 10105, 15790, 22739?
30952
What comes next: 5, 19, 45, 83?
133
What is the next term in 72, 50, 22, -6, -28, -38, -30?
2
What is next in 1027, 2056, 3085, 4114, 5143, 6172?
7201
What is next in 210, 441, 686, 951, 1242, 1565, 1926?
2331
What is the next term in -15, 22, 121, 312, 625, 1090, 1737?
2596
What is next in -308, -318, -314, -290, -240?
-158
What is next in -230, -228, -226, -224, -222?
-220
What is the next term in -355, -340, -327, -322, -331?
-360
What is next in -3090, -6157, -9236, -12333, -15454, -18605?
-21792
What is the next term in 264, 265, 266, 267, 268, 269?
270
What comes next: 104, 102, 102, 104, 108, 114?
122
What is next in -13734, -13736, -13738, -13740, -13742, -13744?
-13746
What is next in 38, 77, 114, 149, 182, 213?
242
What is next in 10, 44, 92, 160, 254, 380, 544?
752
What comes next: -1431, -2866, -4301, -5736, -7171?
-8606
What comes next: -187, -207, -225, -241, -255, -267?
-277
What comes next: 2868, 2866, 2864, 2862?
2860
What is the next term in 1279, 1275, 1271, 1267, 1263?
1259
What is the next term in 561, 1112, 1663?
2214
What is next in 28, 25, 14, -11, -56, -127, -230, -371?
-556
What comes next: 222, 448, 674, 900, 1126, 1352?
1578
What is next in -14, -30, -52, -80?
-114
What comes next: -242, -227, -214, -203?
-194
What is next in 633, 1248, 1863, 2478, 3093, 3708?
4323
What is next in 304, 609, 914?
1219
What is next in 80, 112, 152, 194, 232?
260
What comes next: 302, 414, 526, 638, 750?
862
What is the next term in -110, -453, -1024, -1823, -2850, -4105, -5588?
-7299
What comes next: 151, 152, 163, 190, 239, 316?
427
What comes next: 13, 67, 217, 511, 997, 1723, 2737?
4087
What comes next: -50, -113, -218, -365, -554, -785, -1058?
-1373
What is the next term in 10, 43, 108, 217, 382?
615
What is the next term in 114, 229, 344, 459, 574, 689?
804
What is next in -3283, -3282, -3281, -3280, -3279?
-3278
What is next in 778, 777, 776, 775, 774?
773
What comes next: -942, -938, -932, -924, -914, -902?
-888
What comes next: -224, -449, -674, -899, -1124?
-1349
What is next in 23, 43, 77, 131, 211, 323, 473?
667
What comes next: -89, -18 | {
"pile_set_name": "DM Mathematics"
} |
5. Let w(y) = -1361*y - 2 - 1 + 1357*y. Let b(z) = -6*p(z) - 10*w(z). Determine g(b(j)).
-32*j**2 + 140*j
Let z(l) be the first derivative of -219*l**2/2 - 5189. Let i(n) = -4*n. What is i(z(u))?
876*u
Let i = 9 + -12. Let v(x) = -x + 6. Let a(l) = -2*l + 20. Let k(p) = i*a(p) + 8*v(p). Let m(g) = 2*g. Give m(k(o)).
-4*o - 24
Let x(k) = -10*k + 18. Let l(c) be the second derivative of 2*c**3/3 - 2149*c. Calculate l(x(b)).
-40*b + 72
Let n(b) = b**2. Let v(q) = -17596359*q. Calculate n(v(s)).
309631850056881*s**2
Let q(o) = -2*o. Let x(t) = 6720423*t**2 - 2*t + 1. Give q(x(f)).
-13440846*f**2 + 4*f - 2
Let v(j) = 25*j**2 - 10*j + 15. Let z(n) = 13*n**2 - 6*n + 9. Let b(y) = -6*v(y) + 10*z(y). Let s(w) = 27*w**2. Determine s(b(t)).
10800*t**4
Let p(c) be the first derivative of 5*c**2/2 - 43. Let z be (-90)/(-12)*12/15. Let d(j) = 0 + 0 - z*j**2. Give p(d(a)).
-30*a**2
Let j(h) be the second derivative of h**6/360 - 19*h**3/6 - 11*h + 1. Let a(g) be the second derivative of j(g). Let t(m) = -120*m. What is t(a(p))?
-120*p**2
Let w = -421 + 452. Let k(n) = w*n - 4*n - 8*n - 6*n - 10*n. Let a(o) = 48*o. Give a(k(i)).
144*i
Let c(z) = 492424*z. Let t(u) = -2*u. Calculate t(c(g)).
-984848*g
Let z(t) = -t**2 - 12*t + 21. Let v be z(-11). Let s(i) = -51*i - v*i + 118*i. Let p(a) = 5*a - 3*a - a. Calculate s(p(k)).
35*k
Let v(l) = -244427422*l. Let s(w) = w. What is v(s(u))?
-244427422*u
Suppose -2*c = 10, c + 26 = -35*g + 42*g. Let r(f) be the first derivative of 19 + 2/3*f**g + 0*f**2 + 0*f. Let s(w) = 3*w. What is s(r(i))?
6*i**2
Let h(b) = -514*b**2 + 10*b + 10. Let w(m) = 36*m**2 - m - 1. Let l(x) = -3*h(x) - 30*w(x). Let n(d) = -d. What is n(l(k))?
-462*k**2
Let q(v) = -2 + 82*v - 2*v**2 + 79*v - 221*v + 82*v. Let c(o) = -o. Determine c(q(s)).
2*s**2 - 22*s + 2
Let f = 13 - 6. Let b(n) = f*n**2 + 25*n**2 + 26*n**2. Let y(i) = -7*i + 78. Let x(h) = 18*h - 195. Let m(s) = 2*x(s) + 5*y(s). Calculate m(b(v)).
58*v**2
Let f(n) be the third derivative of 3/8*n**4 + 0*n + 0 + 0*n**3 + 10*n**2. Let u(g) be the third derivative of -g**4/8 - 5*g**2. Calculate f(u(y)).
-27*y
Let t(m) = 27482152*m**2. Let x(r) = 3*r. What is t(x(d))?
247339368*d**2
Let k(w) = 7*w + 6. Let u(g) = -99*g - 88. Let c(l) = -44*k(l) - 3*u(l). Let j(m) = -74*m**2. What is j(c(d))?
-8954*d**2
Let z(u) = -205*u**2 + 8. Let d(x) = 20868*x**2 - 814. Let m(p) = 4*d(p) + 407*z(p). Let g(w) = 308*w. Give g(m(b)).
11396*b**2
Let o(w) = 24*w. Let n(m) be the third derivative of 0*m**4 + 0*m - 1/60*m**5 + 4*m**2 - 8 + 0*m**3. Give o(n(g)).
-24*g**2
Let u(i) = 24360 - 48720 - 78*i + 24360 - 39*i. Let t(m) = 2*m**2 - 5 + 5. Calculate t(u(v)).
27378*v**2
Let s(t) = -3*t + 56. Let u(m) = -4*m + 84. Let w(k) = 15*s(k) - 10*u(k). Let q(x) = -128*x**2 + 3. Give q(w(g)).
-3200*g**2 + 3
Let o(g) = -10*g**2. Let j(t) be the first derivative of 88*t**3 - 281. Calculate j(o(h)).
26400*h**4
Let n(x) be the second derivative of -x**4/4 + 47675*x. Let z be -1 + (0 - -1 - -2). Let b(y) = 3*y**2 - 3*y**z - 3*y**2. What is b(n(j))?
-27*j**4
Let o(c) = -2*c**2. Let f(w) be the first derivative of -43*w**4/12 + 5*w**2/2 + 3*w - 62. Let m(d) be the second derivative of f(d). Determine m(o(n)).
172*n**2
Let p(t) = -36*t. Let h(z) = -z**3 + 6*z**2 - 8*z. Let w be h(4). Let b(g) = -301013 + 301013 + 3*g + w*g. Give p(b(r)).
-108*r
Suppose -48 - 54 = -3*s. Let j(c) = 45*c - 20*c - s*c - 17*c. Let w(p) = p. Determine w(j(g)).
-26*g
Let y(n) be the second derivative of n**5/60 - 23*n**2 - 4*n. Let k(q) be the first derivative of y(q). Let a(m) = 13*m. Give k(a(u)).
169*u**2
Let d(l) = 52 - 94 + 54 + 10*l**2 + 24*l. Let x(z) = -z**2 - 2*z - 1. Let b(p) = d(p) + 12*x(p). Let i(o) = -186*o. What is i(b(c))?
372*c**2
Let m(l) be the third derivative of l**7/1260 - 33*l**5/20 - 49*l**2. Let t(h) be the third derivative of m(h). Let i(u) = 3*u**2. Calculate t(i(d)).
12*d**2
Let w(c) = -2*c**2. Let n be 2*2 - 8/4. Suppose -6*z + 16 = -n*z. Let s(m) = -8 + 8 + 6*m - z*m. What is w(s(r))?
-8*r**2
Let m(c) be the second derivative of 4*c + 1/3*c**3 + 0*c**2 + 0. Let u(o) = 23*o - 2. Calculate m(u(n)).
46*n - 4
Let t(l) = -3572*l. Let f(q) = -8378190*q. Let p(a) = -5*f(a) + 11728*t(a). Let m(v) = -v**2. What is p(m(g))?
1466*g**2
Let l(w) = w**2 - 50514*w - 1. Let p(a) = 77*a. What is p(l(m))?
77*m**2 - 3889578*m - 77
Let n(y) = -135 + 276 - 261*y - 141. Let j(f) = -8*f**2 - 13*f**2 + 19*f**2. Calculate n(j(c)).
522*c**2
Let u(l) = -40*l - 230 + 164 + 66. Let s(t) = t**2 - 2*t**2 - 5*t**2 + t**2. Give s(u(b)).
-8000*b**2
Let i(m) be the second derivative of m**5/40 + 65*m**3/6 - 2*m + 88. Let j(l) be the second derivative of i(l). Let o(u) = -10*u + 5*u + 8*u. What is o(j(p))?
9*p
Let w(o) be the second derivative of -o**4/3 + 527*o - 3. Let a be ((-12)/(-8))/(3/4). Let r(k) = 3*k**2 + 2*k**2 + a*k**2. What is r(w(u))?
112*u**4
Let r(s) = -7*s + 36. Let o(d) = -5*d + 27. Let j(q) = 4*o(q) - 3*r(q). Let m(a) = 170*a**2 - 11*a + 1. Give j(m(p)).
170*p**2 - 11*p + 1
Let u(b) = b. Let l(a) = 21218747*a**2. What is u(l(x))?
21218747*x**2
Let x(h) = 112722*h. Let m(k) = -9*k**2 - 2. Calculate x(m(z)).
-1014498*z**2 - 225444
Let v(c) be the second derivative of c**7/630 - 83*c**4/12 + 2*c - 23. Let j(p) be the third derivative of v(p). Let l(q) = 2*q**2 - 19. Determine j(l(z)).
16*z**4 - 304*z**2 + 1444
Let u(h) = -7*h**2 - 52*h. Let o(c) = -25*c**2 - 183*c. Let l(p) = 5*o(p) - 18*u(p). Let t(f) be the third derivative of -f**4/12 - f**2. What is l(t(x))?
4*x**2 - 42*x
Let u(q) = 10*q**2. Let p(g) be the third derivative of g**8/20160 - g**5/60 - 5*g**4/8 + 13*g**2 + g. Let j(y) be the third derivative of p(y). Give u(j(o)).
10*o**4
Let k(f) = f**2 - f + 1. Let v(d) be the first derivative of -4*d**3/3 + 5*d**2/2 - 5*d - 144. Let o(a) = -5*k(a) - v(a). Let t(g) = 11*g. Give o(t(c)).
-121*c**2
Let c(o) = -1039207192*o. Let q(x) = -x. What is q(c(h))?
1039207192*h
Let m(r) = -15*r - 2*r**2 + 15*r. Let v(s) be the second derivative of -s**3/6 - 5*s**2 + 10210*s. Calculate m(v(n)).
-2*n**2 - 40*n - 200
Let v(a) = a**2 - 2*a + 3. Let z be v(1). Let s(y) = -297*y + 2*y**2 + 5*y**2 - 3*y**z + 297*y. Let q(i) = -23*i**2. Calculate q(s(t)).
-368*t**4
Let u(q) = -3*q**2. Let x(s) = -s - 5. Let i(z) = -3. Suppose 7*k = 4*k - 3. Let w be k - (4/(16/28) + -3). Let v(j) = w*i(j) + 3*x(j). Give v(u(l)).
9*l**2
Let t(o) = -1853*o + 5. Let m(l) = 31*l - 1. Give m(t(w)).
-57443*w + 154
Let z(h) = -458510*h**2 - h + 9. Let t(v) = -42*v. What is z(t(r))?
-808811640*r**2 + 42*r + 9
Let m = 144 + -141. Let c(j) = -4*j - 3. Let s(r) = -r - 1. Let i(d) = m*s(d) - c(d). Let h(y) = 15*y**2 - 4. Calculate i(h(u)).
15*u**2 - 4
Let q be (4/(-5))/(4/(-30))*7. Let c(g) = -49*g + 124*g - 53*g - q*g. Let h(o) = 5*o. Determine c(h(b)).
-100*b
Let w(n) = -30*n - 3. Let q(d) = -18*d - 2. Let o(a) = 3*q(a) - 2*w(a). Let s(f) = -238*f. Give o(s(u)).
-1428*u
Let p(f) be the first derivative of -578*f**3/3 + 2*f + 2668. Let n(w) = 2*w**2. Determine p(n(q)).
-2312*q**4 + 2
Let g(q) = -2*q + 2. Let o(f) = 1. Suppose -7*b - 4 = -3*b. Let a(s) = b*g(s) + 2*o(s). Let w(u) = -4*u + 1. Determine w(a(k)).
-8*k + 1
Let p(j) = 4*j**2 - 1209*j + 1209*j - 6*j**2 + j**2. Let d(x) = 3235*x**2. Give p(d(o)).
-10465225*o**4
Let a(u) = -2*u. Let z be ((-6)/21)/(-1) - 16/56. Let c(n) be the second derivative of -7/3*n**3 + z - 16*n + 0*n**2. Calculate c(a(s)).
28*s
Let f(g) = 12275 - 24695 + 12420 - 20*g**2. Let x(t) = -6. Let w(u) = u + 17. Let l(d) = 6*w(d) + 17*x(d). Determine l(f(i)).
-120*i**2
Let y(v) = -7*v**2. Let n(l) = 946074*l**2. Calculate y(n(j)).
-6265392094332*j**4
Let z(s) be the second derivative of -s**4/6 + 6*s + 1. Suppose 8*v = 16 - 0. Let h(k) = 4*k**v - 101 + 101. Give z(h(n)).
-32*n**4
Let u(s) = 56*s - 3. Let y(i) = -523*i + 28. Let r(v) = 28*u(v) + 3*y(v). Suppose 3*t = 3 + 3. Let n(g) = -t*g - 5*g + 2*g. What is n(r(a))?
5*a
Let u(w) = -12*w**2 - 2*w. Let n(l) = -2860892*l. Give n(u(h)).
34330704*h**2 + 5721784*h
Let w(t) = -4*t**2 + 106 - 3927*t + 3927*t. Let k(i) = -3*i**2. Give k(w(c)).
-48*c**4 + 2544*c**2 - 33708
Let r(o) = 316488850*o. Let v(w) = 2*w**2. Give v(r(t)).
200330384348645000*t**2
Let n(t) be the first derivative of -2*t**3/3 + 78. Let l(s) = | {
"pile_set_name": "DM Mathematics"
} |
ms in 79*z - 281*z + 213*z + 182*z + 25*z.
218*z
Collect the terms in 31246*p + 0 + 13635*p + 0 - 11465*p.
33416*p
Collect the terms in -2*n + 4*n - 3395*n**2 - 29*n**3 - 2*n + 3392*n**2.
-29*n**3 - 3*n**2
Collect the terms in -m + 1361 - 6531 - 825 - 3416 + 0*m.
-m - 9411
Collect the terms in 285*p - 3 + 5 - 2 - 1067*p - 2*p**2.
-2*p**2 - 782*p
Collect the terms in 2283*o - 2282*o + 151 - 177*o**3 - 15*o**3.
-192*o**3 + o + 151
Collect the terms in -6*v - 51*v - 80*v + 3*v - 38*v.
-172*v
Collect the terms in 4*s - 2*s - 4*s + 979*s**3 + 1439*s**3 + 2*s.
2418*s**3
Collect the terms in 147498766 - 147498766 + 4*u**2.
4*u**2
Collect the terms in 112130*p**3 - 37372*p**3 - 37382*p**3 - 37374*p**3.
2*p**3
Collect the terms in -24*a + 85 + 9*a - 7*a + 29.
-22*a + 114
Collect the terms in 302 - 5*g - 911 - 4*g + 300 + 308.
-9*g - 1
Collect the terms in -184*y**3 - 95*y**2 + 49*y**2 + 47*y**2 + 78*y**3.
-106*y**3 + y**2
Collect the terms in -16278898*r**2 + 16278898*r**2 + 218*r**3.
218*r**3
Collect the terms in -9 - 3 - 4280*s + 7 + 4713*s + 6.
433*s + 1
Collect the terms in -85852*u + 42626*u + 43190*u.
-36*u
Collect the terms in 521*i**2 - 669*i + 1330*i - 661*i - 2.
521*i**2 - 2
Collect the terms in -80231*h**2 - 80238*h**2 + 160462*h**2.
-7*h**2
Collect the terms in 463*p - 1786*p - 649*p - 5 - 2584*p.
-4556*p - 5
Collect the terms in -1362914*g - 78*g**2 + 1362914*g + 1.
-78*g**2 + 1
Collect the terms in 3343*y**3 + 3332*y**3 - 60 + 78 + 3329*y**3 - 10008*y**3.
-4*y**3 + 18
Collect the terms in 4*f**2 + 107926*f - 216293*f + 108367*f.
4*f**2
Collect the terms in 81179*o**2 + 101999*o**2 - 22996*o**2 - 9258*o**2.
150924*o**2
Collect the terms in 284 + 244*v - 140 - 5324*v - 759*v - 135.
-5839*v + 9
Collect the terms in -708410*m + 1134961*m + 1192370*m + 99074*m.
1717995*m
Collect the terms in 8569*t + 52*t + 6641*t + 1629*t + 3256*t.
20147*t
Collect the terms in -23*o**2 - 6*o**2 - 9*o**2 - 12*o**2 + 4*o**2 + 95*o**2.
49*o**2
Collect the terms in -592*r + 324*r - r**2 + 144*r - 3*r**2 + 168*r.
-4*r**2 + 44*r
Collect the terms in 722506*k - 5124*k**2 + 2 - 722506*k + 2*k**3.
2*k**3 - 5124*k**2 + 2
Collect the terms in -2*b + 61 - 202 + 378 - 305 - 353.
-2*b - 421
Collect the terms in -220567*d**3 + 25674*d**2 - 25674*d**2 + 220560*d**3.
-7*d**3
Collect the terms in -p**2 - 13923*p + 4638*p + 4646*p + 4630*p - p**2.
-2*p**2 - 9*p
Collect the terms in -129*i**2 + 87*i**2 - 3 + 3 + 142*i**2 + 122*i**2.
222*i**2
Collect the terms in -33*t**2 - 3*t**2 + 8*t**2 - 2*t + 33*t**2.
5*t**2 - 2*t
Collect the terms in 3*g**2 + 24 + 0*g**2 + 97 + 464.
3*g**2 + 585
Collect the terms in 5*f**2 - 8418395724944*f + 8418395724944*f.
5*f**2
Collect the terms in -2*d**2 - 248736 + 17*d + 248736.
-2*d**2 + 17*d
Collect the terms in -42 - 54 + 213 - 18787*h**2 - 63 - 54 + 18789*h**2.
2*h**2
Collect the terms in 317*l**2 - 514 + 1042 - 534 - 322*l**2.
-5*l**2 - 6
Collect the terms in 160*x - 259*x + 267*x + 163*x.
331*x
Collect the terms in -94*g**2 - 208*g**2 - 484*g**2 + 134*g**2 - 225*g**2.
-877*g**2
Collect the terms in 5764*t**2 + 7427*t**2 - 13144*t**2.
47*t**2
Collect the terms in 117986*n - 236016*n - 15 + 13*n**2 + 118030*n.
13*n**2 - 15
Collect the terms in -1094*w + 12 - 6 + 1096*w - 9.
2*w - 3
Collect the terms in -1686738*u + 18 + 239592*u - 18.
-1447146*u
Collect the terms in 41*q + 36*q + 0 + 61*q + 2*q**2 + 0 - 89*q.
2*q**2 + 49*q
Collect the terms in -692*f**3 + 1133*f - 2285*f + 1152*f.
-692*f**3
Collect the terms in 878*a + 877*a + 865*a + 878*a - 4373*a + 895*a.
20*a
Collect the terms in 10224029702220 - 2*f**3 - 10224029702220.
-2*f**3
Collect the terms in -189 - 132 + d**2 + 205.
d**2 - 116
Collect the terms in -q + 709 - 296 - 116 - 298.
-q - 1
Collect the terms in 3 - 6086*t - 3 + 96902*t.
90816*t
Collect the terms in -318902*z**2 + 1 + 318928*z**2 - 1.
26*z**2
Collect the terms in 61339*o + 61341*o + 61337*o + 61332*o - 245335*o.
14*o
Collect the terms in 4313*b**2 - 1417*b**2 - 1445*b**2 + 3 - 1409*b**2.
42*b**2 + 3
Collect the terms in 178329*s**2 - 91664*s**2 + 998543*s**2.
1085208*s**2
Collect the terms in 461*i - 12 + 511*i - 976*i.
-4*i - 12
Collect the terms in 81*z + 774 - 72*z - 28 - 387 + 1200.
9*z + 1559
Collect the terms in 123*r**2 - 100650*r + 201295*r - 62*r**2 - 100645*r - 58*r**2.
3*r**2
Collect the terms in 18173*d**2 + 18173*d**2 - 36346*d**2 - 637*d**3 - 633*d**3 + 1274*d**3.
4*d**3
Collect the terms in g + 460 + 74 + 325 - 859.
g
Collect the terms in 1659792 - 3319394 + 1659602 - 6*a.
-6*a
Collect the terms in 244*m + 17205896 - 8602951 - 8602945.
244*m
Collect the terms in 5*o**2 - 7*o**2 - 11*o**2 + 17*o + 16*o**2 - 26*o + 9*o.
3*o**2
Collect the terms in -1034 + 211 - 3*x**3 + 7*x**3 + 0*x**3.
4*x**3 - 823
Collect the terms in 134*m + 4*m + 2*m - 140*m + 3*m - 12*m**3.
-12*m**3 + 3*m
Collect the terms in -386312*r**3 - 5*r + 387667*r**3 + 5*r.
1355*r**3
Collect the terms in -250125*z + 751578*z - 250726*z - 250725*z.
2*z
Collect the terms in -209 - 204 - 20*q**2 - 225 - 214 + 852.
-20*q**2
Collect the terms in -600128 - 6*z**3 + 600128.
-6*z**3
Collect the terms in -199*z + 34*z + 84*z + 39*z + 39*z + 35*z - 34*z.
-2*z
Collect the terms in 1147*s**2 - 682*s**2 - 526*s**2.
-61*s**2
Collect the terms in 220233*h - 278223*h - 360083*h - 272750*h.
-690823*h
Collect the terms in -35*n + 11*n**2 - 50*n + 9 + 6 - 6.
11*n**2 - 85*n + 9
Collect the terms in -301*d**2 - 312*d**2 - 34*d + 34*d + 658*d**2 - 21*d**2.
24*d**2
Collect the terms in 1 + 2 - 76966*i - 76951*i - 3 + 153914*i.
-3*i
Collect the terms in 9*q - 20 - 28 - 41*q - 29 - 25 + 101.
-32*q - 1
Collect the terms in 122251*f + 1 + 712929*f + 62114*f.
897294*f + 1
Collect the terms in -152*n**2 - 355*n**2 - 12 - 62 + 74.
-507*n**2
Collect the terms in 53994 - 53994 - 2*x**2 - 13*x.
-2*x**2 - 13*x
Collect the terms in 4824135*a - 2412058*a - 2412047*a.
30*a
Collect the terms in -5871*f**3 + 4*f + f + 2944*f**3 + 2*f + 2929*f**3.
2*f**3 + 7*f
Collect the terms in 2849 - 8*o**2 - 12*o**2 + 2*o - 2850.
-20*o**2 + 2*o - 1
Collect the terms in -132782263965*f**2 + 132782263965*f**2 - 9*f**3 - 2*f.
-9*f**3 - 2*f
Collect the terms in -1164*k - 1163*k - 1158*k - 1186*k - 1163*k + 5837*k.
3*k
Collect the terms in 245448 + 9*m - 245208 + 11*m.
20*m + 240
Collect the terms in 107757*q - 76 + 76 - 107755*q.
2*q
Collect the terms in -209*r - 222*r - 374*r - 269*r - 371*r.
-1445*r
Collect the terms in -273637*j**2 + 136818*j**2 + 136821*j**2 + 43.
2*j**2 + 43
Collect the terms in 63*p**3 + 68*p**3 + 65*p**3 + 46*p**3 + 69*p**3 - 340*p**3.
-29*p**3
Collect the terms in 81 - 21*t**2 + 22*t**2 - 28.
t**2 + 53
Collect the terms in 3422*i**2 + 5012*i**2 - 8441*i**2.
-7*i**2
Collect the terms in -129 + 5*l**2 + 28 + 54 + 27 + 20.
5*l**2
Collect the terms in 12987128923*a - 12987128923*a + a**3.
a**3
Collect the terms in -68*g**2 + 179732263890*g - 179732263890*g.
-68*g**2
Collect the terms in 862*w + 872*w + 871*w + 864*w - 4404*w**3 - 3469*w + 4406*w**3.
2*w**3
Collect the terms in -40*w + 236*w**2 - 241*w**2 - 550 + 40*w + 519.
-5*w**2 - 31
Collect the terms in 10078*i**3 - 20264*i**3 + 9958*i**3.
-228*i**3
Collect the terms in 45*w - 30*w - 118*w + 2 - 92*w - 5.
-195*w - 3
Collect the terms in -247*b + 60*b**2 - 278*b + 743*b - 218*b - 1.
60*b**2 - 1
Collect the terms in 31*w**3 - 31970*w**2 - 27*w**3 + 5*w + 56*w**3 + 31970*w**2.
60*w**3 + 5*w
Collect the terms in -6*c**2 + 2 - 11*c**2 + 17*c**2 + 1288*c**3.
1288*c**3 + 2
Collect the terms in -469*a**3 + 525467623*a**2 - 525467623*a**2.
-469*a**3
Collect the terms in 315165*k + 1104 - 1104.
315165*k
Collect the terms in -19738205 + 9869104 + 9869101 + 14*l.
14*l
Collect the terms in -3753*k + 948*k + 3*k**2 + 940*k + 941*k + 949*k.
3*k**2 + 25*k
Collect the terms in 2*r**3 + 0*r + 4*r - 4*r + 6*r - 4353*r**2 - 12*r.
2*r**3 - 4353*r**2 - 6*r
Collect the terms in -1379602*s - 13 - 149431*s + 13.
-1529033*s
Collect the terms in 11*l**2 + 366699463*l - 366699463*l.
11*l**2
Collect the terms in 1707132*s**2 - 3414223*s**2 + 1707100*s**2.
9*s**2
Collect the terms in 10*i + 10*i - 29*i + 9*i - 82323*i**2.
-82323*i**2
Collect the terms in 1904 + 4*r**3 + 1798 + 1800 - 7265 + 1763.
4*r**3
Collect the terms in 1631 - 3237 + 145*h**2 + 1606.
1 | {
"pile_set_name": "DM Mathematics"
} |
digit of i?
1
Suppose 8 = f - 3. What is the units digit of f?
1
Suppose -2*c + 24 = -14*c. Let r(s) = -23*s**2 + s. Let g be r(-1). What is the units digit of 4/3*g/c?
6
Let v(u) = u**3 - 5*u**2 + 7*u + 1. What is the tens digit of v(5)?
3
Suppose -5 + 15 = 4*a + 2*x, -4*x = -4. Suppose y = a + 14. What is the units digit of y?
6
Let q(d) = 2 - 2 - 5*d + 6. Let w be q(-5). Let r = w + -20. What is the tens digit of r?
1
Suppose 2*p - 2*t - 7 = -3*t, 19 = 5*p + t. Let l = 5 - p. What is the units digit of l?
1
Let k(a) = -a**3 + 2*a**2 + 2*a - 2. Let h be k(2). Suppose c = h*c. Let i(q) = -q**3 + q**2 + q + 4. What is the units digit of i(c)?
4
Let k = -64 + 127. Let z = k + -44. What is the units digit of z?
9
Suppose 0 = -4*f - w - 7, f - 4*w + 6 = 0. What is the units digit of ((-4)/f)/(8/136)?
4
Suppose -2*h = -27 - 59. What is the tens digit of h?
4
Let x(n) = n + 5. Let y be x(-5). Suppose 6 = 3*l - y*l. What is the units digit of ((0 - 1) + 2)*l?
2
Suppose 0*b - 4*q + 104 = 4*b, -2*b = -q - 58. What is the units digit of b?
8
Let r be (-10)/(-3)*(-9)/(-3). Suppose -4*q + q + 11 = 4*l, 0 = -l - 5*q - r. Suppose 2*f = l*i - 4*i - 19, -56 = -4*i - 2*f. What is the tens digit of i?
1
Let y be 2/(-4)*16/8. Let d = 3 + y. What is the units digit of d?
2
What is the tens digit of 5556/27 - ((-34)/(-9) + -4)?
0
Suppose 0 = -w + g + 114 + 37, -4*g = 3*w - 446. What is the hundreds digit of w?
1
Suppose -87 - 9 = -3*t. Let q = t - 21. What is the units digit of q?
1
Suppose 0 = 3*y + u - 7, 0*u + 2*u = 2*y - 2. Suppose 16 = 6*i - y*i. What is the units digit of i?
4
Let x = 20 + -31. Let v = 16 + x. What is the units digit of v?
5
Let u(r) = 3*r - 12. What is the units digit of u(6)?
6
Suppose -50 = 6*f - f. Let s = f + 21. What is the tens digit of s?
1
Let t be (9 + -1)*3/(-6). Let w = 1 - t. What is the units digit of w?
5
Suppose 0 = -2*m, -4*p + 76 = -0*m + 2*m. What is the units digit of p?
9
What is the tens digit of 300 - (12/28 + (-62)/14)?
0
Let x = 30 + -15. Suppose -4*n + x = -5*b, 4*b = 4*n + 5*b - 45. What is the tens digit of n?
1
Let x(l) = 2*l**2 - l - 15. What is the units digit of x(7)?
6
Suppose -20 = -4*o, s = -s + 5*o + 585. What is the units digit of s?
5
Let d(n) be the second derivative of n**5/20 - n**4/3 - n**3/2 + n**2 - 2*n. Let y be d(5). What is the units digit of (6/5)/(y/40)?
4
Let l(n) = -5*n**3 + n**2 - 1. What is the units digit of l(-2)?
3
Suppose 5*b = 3*b + 4. Let g(u) = 8*u**2 - u + 1. What is the units digit of g(b)?
1
Let t = 3 - 3. Suppose 5*o - 4*o - 22 = t. What is the tens digit of o?
2
Let z(r) = 2*r**3 - 9*r**2 + 13. Let o(b) = 3*b**3 - 14*b**2 + 20. Let c(m) = 5*o(m) - 7*z(m). Let g be 7/(-3)*(-4 - -1). What is the units digit of c(g)?
9
Let z = 0 + 17. Let w = z - 8. What is the units digit of w?
9
Let q = 16 - -9. Let f = 82 - q. Suppose 0 = -n - 4*t + 28, 4*n + 2*t = -3*t + f. What is the units digit of n?
8
Let r be ((-28)/8)/(1/(-2)). Suppose 2*k + r = -n, 0 = -4*k - 12 - 0. Let m = 6 + n. What is the units digit of m?
5
Let f = 1 - 2. Let x be 5*f + (0 - -1). Let l = x - -7. What is the units digit of l?
3
Suppose -7*g = -9*g + 44. Let r = 34 - g. What is the tens digit of r?
1
Let s = -5 - -7. Suppose -s*b + 4*f = -4, -2*f - 19 = -5*b - f. Suppose b*v + v + 25 = 0, 0 = -2*p + 2*v + 20. What is the units digit of p?
5
What is the units digit of -2 + (-835)/(-5) - (-2 + -1)?
8
Suppose 2*m - 3 = m. Suppose 3*o - m*b = 66, -b + 6*b = 10. Suppose -4*a = -2*a - o. What is the units digit of a?
2
What is the units digit of (-4)/(-3 - 49/(-17))?
4
Let z(a) = a + 2. Let h be z(0). Suppose -h*k + 4 = -18. What is the tens digit of k?
1
Suppose q - 1 = 4*a, -4*q + 3*a = -3*q - 2. Suppose 3*z = -q*j - 42, -3*j + 5*z = -j - 8. What is the units digit of 2/6*(-90)/j?
5
Let i = 46 + 2. What is the units digit of i?
8
What is the tens digit of (5 + 5 + 183)/1?
9
Let t = -2 + 4. Suppose 0 = 4*w + 5*c - 44, 0 = -w - t*c + 13 + 1. What is the units digit of w?
6
Let q(i) = -i**2 + 11*i - 3. Suppose l + 4*a - 57 = 0, -l + 2*l - 71 = 3*a. Suppose 3*k - l = -5*d, 3*d - 2*k - k = 15. What is the units digit of q(d)?
7
Let n(i) = -i**3 - 10*i**2 + 7*i + 15. Let b be n(-11). Let l = b + -36. What is the units digit of l?
3
Let v = -25 + 48. What is the units digit of v?
3
Suppose 7*p + 14 = 9*p. What is the units digit of p?
7
Suppose 0 = -2*s + 2*h - 1 + 7, -4*h = -20. Let n(x) be the third derivative of x**4/24 + 2*x**3/3 - x**2. What is the tens digit of n(s)?
1
Suppose -4*h + 10 + 10 = 0. Let r(d) = 7*d + 4. Let n(b) = -6*b - 4. Let g(i) = -6*n(i) - 5*r(i). What is the units digit of g(h)?
9
Let w = 4 + 29. Suppose -5*q + a + 18 = -3, -2*a + w = 5*q. What is the units digit of q?
5
Let u(f) = -f - 1. Let h be u(-1). Suppose -2*p + h = -2. What is the units digit of p?
1
Let t be 2/4*(1 - 1). Suppose t*g - 6 = -g. Suppose -g*z = -2*z - 52. What is the units digit of z?
3
Let n be 212/20 + (-4)/(-10). Let a = -7 + n. What is the units digit of ((-52)/16)/((-1)/a)?
3
What is the hundreds digit of (1 + 1)*133 + -2?
2
Let f(x) = -x**3 - 5*x**2 - 2*x - 5. Let r be f(-5). Let k = -8 - -12. Let t = r - k. What is the units digit of t?
1
Let k = 296 - 140. Suppose 2*i + k = -4*c + 9*c, -5*c + 168 = 4*i. What is the units digit of c?
2
Let q(h) = -h**2 - h + 3. Let p be q(0). Let g = 5 + p. Suppose 2*l - g = l. What is the units digit of l?
8
Suppose 0 = 2*b - 4*i, -6*i + 32 = 3*b - 4*i. Let w = b + 0. What is the units digit of w?
8
Let m be 63/5 + (-2)/(-5). Suppose 0 = 2*y - 3 - m. What is the units digit of y?
8
Let a = 246 - -71. What is the tens digit of a?
1
Let j = 3 - 4. Let t = 3 + j. What is the units digit of 1/3*(t - -4)?
2
Let q(l) = -2*l + 31. Let y(g) = g - 12. Let o be y(12). What is the units digit of q(o)?
1
Let x(q) = 10 - 1 - 2 - q. Let t = 0 - 0. What is the units digit of x(t)?
7
Suppose 6 = 3*u - 2*m, -5*u = 3*m + 2*m - 10. Suppose 5*f = -w + f, -5*f + 6 = u*w. What is the units digit of w?
8
Suppose 5*z - 17 = 23. What is the units digit of z?
8
Let y(d) = -3*d**3 + 2*d - 13. Let l(j) = 4*j**3 - j**2 - 2*j + 14. Let r(o) = -4*l(o) - 5*y(o). What is the units digit of r(4)?
1
Let i be ((-2)/(-4))/((-2)/(-8)). Let g(h) = 6*h**2 - 2*h + 1. Let t be g(1). Let f = t - i. What is the units digit of f?
3
Let j(f) = -f**3 + f**2 - f + 3. Let m be j(0). Suppose -n + 0*n = 2*r - 12, r = -m*n + 6. What is the units digit of r?
6
Suppose 0 = -4*s + 21 + 515. What is the hundreds digit of s?
1
Suppose -57 = -4*w - 17. What is the tens digit of w?
1
Suppose a - 4 = q, -2*a + 6 = -4. What is the tens digit of (-1)/(42/(-39) + q)?
1
Let s(y) = -2*y**2 + 8*y - 9. Let o be s(9). What is the units digit of (-18)/o - (-152)/11?
4
Let u(b) = 2*b**2 - b + 1. Let h be u(1). Let i = 4 - h. Suppose -i*z + 9 = -z. What is the units digit of z?
9
Let b be (-9 + -1)/(-4 + 2). Suppose -4*k + 2*x + 22 = -0*x, -x - 29 = -b*k. What is the units digit of (-2 - (-2 - 1)) + k?
7
Let r be (-2)/7 + 51/7. Let z = -2 + r. Suppose -z - 9 = -2*j. What is the units digit of j?
7
Suppose h = -f + 46, 5*f = 4*h + 284 - 99. What is the units digit of f?
1
Let y be (-25)/4*4/(-1). Suppose 5*q - y = -r + 2*q, 5*q - 55 = -2*r. Suppose -d - 2*t = -18, -14 = -3*d + 5*t + r. What is the tens digit of d?
1
Let b(a) = 10*a. What is the tens digit of b(3)?
3
Suppose -6*m + m = 3*v, -3*m = v - 4. What is the units digit of m?
3
Let a(s) = s + 13. Let j be a(-13). Suppose 4*u + 44 = 2*g - 10, -5*g + 5*u + 115 = j. What is the tens digit of g?
1
Let z = -18 + 11. Let k(i) = -6*i - 1. Let f(t) = 5*t + 2. Let a(s) = 7*f(s) + 6*k(s). What is the units digit of a(z)?
5
What is the units digit of 0 - -23 - 0/6?
3
Suppose 2*d + 48 = 2*v, -2*d + 27 = 4*v - 45. What is the tens digit of ((-96)/v)/(2/(-5))?
1
Let m(t) = 3*t - 1. Let h be m(2). Let j be 272/h + (-8)/20. Suppose 4*y = -18 + j. What is the units digit of y?
9
Suppose -2*h + 1 = 3. Suppose 4*m + 16 = 2*x, -x + 5*m + 11 = -3*x. What is the units digit of x - (h + -2) - 0?
5
Let c(b) = b**3 - 6*b**2 - 5*b + 9. What is the units digit of c(7)?
3
Let t(h) = -6*h - 1 - 10 + 3. Let k(f) = -7*f - 9. Let u(v) = -5*k(v) + 6*t(v). What is the units digit of u(-6)?
3
Let x = -77 + 109. What is the units | {
"pile_set_name": "DM Mathematics"
} |
w) be the third derivative of -w**5/120 + 5*w**4/24 - w**3/6 + w**2. Let x(q) be the first derivative of t(q). Calculate x(-4).
9
Let t(p) = 4 + 1 + p - 4*p - 6 - p**2. Calculate t(-5).
-11
Let b = -7 + 13. Let c(a) = -a**3 + 6*a**2 - 3*a + 9. Calculate c(b).
-9
Let o(r) = -4*r**2 - 4*r**2 + 17 - 9 - 2*r - 9. Calculate o(-1).
-7
Let w(j) = j**3 - 12*j**2 + 7 + 7*j**2 - 1 - j. Calculate w(5).
1
Let n(a) be the first derivative of -a**2/2 - 1. Suppose -2*j + 7*j = 0. Suppose -2*p + j = -8. Determine n(p).
-4
Let t(p) = 5*p**3 + 2*p**2 - 1. Let x(u) = u**3 - 11*u**2 + 2. Let y be x(11). Let j be ((-5)/10)/(2/4). Let i = y + j. Give t(i).
6
Let c(s) be the third derivative of -s**4/4 - 5*s**3/6 - 55*s**2. Give c(4).
-29
Let c(g) = g**2 + 5. Suppose v + 20 = -4*o, -5*o - 24 - 1 = v. Calculate c(v).
5
Suppose z + 2*z - 6 = 0. Suppose 4*o + 1 = v + z, 2*o + 3 = -3*v. Let f(n) = 1 + 7*n - 2*n**2 + 2*n**2 + o*n**2 + n**2. Give f(-6).
-5
Let p(m) = -m**3 - m**2 - m - 3. Let q(c) = -c + 1. Let l(h) = h**2 - h - 1. Let r be l(-1). Let n be q(r). Determine p(n).
-3
Let i(f) = -f**2 + 2 - 4*f**3 - 1 + f - 7*f**3. Suppose -g + r = -4, -r - 3*r - 1 = -g. Suppose -p - 5*x = 6, -4 = g*p + x + 2. Determine i(p).
10
Let b(m) be the third derivative of 7/120*m**6 + 0*m**3 + 0*m + 0 + 1/24*m**4 - 1/30*m**5 - m**2. Suppose -3 = 5*r - 8. Calculate b(r).
6
Let x(q) = -7*q + 3. Suppose -14*g - 20 = -9*g. Calculate x(g).
31
Let r(q) = -q - 4. Let f(h) = 3*h**2 - 13*h + 8. Let s(d) = -2*d**2 + 12*d - 7. Let x(u) = 3*f(u) + 4*s(u). Let y be x(-9). Determine r(y).
0
Let v(l) = -8*l**2 + 5*l + 4. Let s(n) be the second derivative of n**4/12 - n**2/2 + 2*n. Let t(k) = -6*s(k) - v(k). Give t(3).
5
Let z(x) = 3*x + 3. Let l(m) = 2*m - 17. Let n(g) = -g - 2. Let u be n(-12). Let r be l(u). Determine z(r).
12
Let x be 2/3*(-1 - 2). Let y(l) = -5*l - 3. Let i be y(x). Let z(j) = -j**3 + 8*j**2 - 6*j - 6. Determine z(i).
1
Let a be 7/((-98)/(-4))*(7 - 0). Let c(n) = -n + 2. Determine c(a).
0
Let j(t) = t**3 + 3*t**2 - t + 2. Let w = 0 + 3. Let v = -1 + w. Suppose 5*b + 12 = v. Give j(b).
8
Let f(s) = -5*s**2 - 10*s - 3. Let k = -26 - -20. Let i(m) = -11*m**2 - 21*m - 6. Let u(x) = k*i(x) + 13*f(x). Determine u(4).
-3
Suppose 2 = -7*a + 23. Suppose -2*l - l = -5*j + 14, 2*j + 2 = 5*l. Let r(z) = l*z - 1 - z**2 + 4 + 2*z. Determine r(a).
6
Let h be 8*(9/(-6) - -2). Suppose 0 = h*x - 17 - 55. Let w be (-14)/x - (-4)/(-18). Let o(q) = -q**2 + 1. Calculate o(w).
0
Let u(l) = l**2 + 8*l + 1. Suppose 3*t - t + 26 = -5*b, t = 2. Calculate u(b).
-11
Let q = 348 - 243. Suppose c + 3*d = 1, 0*c - 5*c = -5*d - q. Suppose 0 = 3*o - 7*o + c. Let p(t) = t**2 - 5*t - 1. What is p(o)?
-5
Let f = 4 - 2. Let p(a) = -6*a**3 + 7*a**2 - 6*a + 6. Let d(i) = -15*i**2 + 3 - 16 + 13*i + 0*i + 13*i**3. Let w(m) = -4*d(m) - 9*p(m). Determine w(f).
6
Let i = 6 - 13. Let c(h) = -h - 11 + 1 + 1 - h. Give c(i).
5
Let o(m) = -m**3 + 5*m**2 + 2*m - 9. Let p(k) = -2*k**3 + 11*k**2 + 5*k - 19. Let r(x) = -13*o(x) + 6*p(x). What is r(-2)?
-9
Suppose 2*d - 30 = 4*p, 2*p - 6*d + 11 = -d. Let s(k) = -2*k**2 - 4. Let y(a) = 5*a**2 + a + 11. Let g(v) = p*s(v) - 3*y(v). Determine g(3).
-1
Suppose -4*j = -0*j - 4. Let p(z) = -2*z**3 + 3*z**3 + j - 5 - 2*z - 2*z**2. Give p(3).
-1
Let t(h) be the third derivative of h**5/60 - h**4/24 + h**3/6 - 7*h**2. What is t(0)?
1
Let p(r) = r**2 - 1. Let d = -5 + 10. Suppose -4*z = 3*u + 17, -d*z - 3*u + u - 16 = 0. Give p(z).
3
Let m(g) = -g**3 + 3*g**2 - g + 1. Let f = 11 + -9. Calculate m(f).
3
Let c(x) = -x**3 + 8*x**2 + 6. Let a(o) = o**2 - 13*o - 1. Let j be a(13). Let p = j + 9. Determine c(p).
6
Suppose 5*w - 3*s = -0*w - 27, 19 = -4*w + 5*s. Let i = w - -5. Let r(f) = 3*f - 4. Let q(n) = -n + 1. Let g(k) = i*r(k) - 6*q(k). Calculate g(3).
7
Let r(a) = -3*a + 6. Let u = 0 + 4. Let g = u - 7. Let b be (-11)/g + 1/3. Give r(b).
-6
Let z(f) = 13*f + 19. Let q(u) = -7*u - 10. Let i(v) = -11*q(v) - 6*z(v). Suppose -17 = o - 0*o. Let t = o + 12. Determine i(t).
1
Let i(m) = -1 - 5*m**2 + 3 + 4*m**2. Let c(d) = 6*d**2 - 2*d - 2. Let v(f) = -11*f**2 + 4*f + 3. Let s(t) = 5*c(t) + 3*v(t). Let j be s(1). What is i(j)?
-2
Let l = 5/44 + -139/1320. Let o(b) be the third derivative of 1/20*b**5 + 0*b + 2*b**2 - 1/24*b**4 + 0 - 1/3*b**3 - l*b**6. Give o(2).
0
Let r(v) = 7*v + 3*v**2 - 6 + 3*v - 4*v**2 - 12*v. Determine r(-5).
-21
Let x(r) = -r**2 + 6*r - 2. Let m be x(6). Let a(f) = f**3 + f**2 + 2*f. Give a(m).
-8
Let w(p) be the second derivative of -p**6/120 + p**5/120 + p**4/24 - 2*p**3/3 + 3*p. Let k(t) be the second derivative of w(t). What is k(2)?
-9
Let u(a) = a - 1. Let f(l) = 4*l**2 + 37*l + 12. Let g be f(-9). What is u(g)?
2
Let i(p) = -p**2 + 4*p - 1. Let v(d) = d - 1. Let y be v(5). Determine i(y).
-1
Let j(u) = -u - 62*u**3 - 5*u**2 + 9 - 6*u**2 + 63*u**3. Calculate j(11).
-2
Let o be -13*((-2)/(-1) - 3). Let m = -12 + o. Let s(u) = 10*u**3 + u**2 - u. Calculate s(m).
10
Let y(n) = -n**2 + 7*n + 3. Let b(c) = -c**2 + 8*c + 4. Let x(f) = -3*b(f) + 4*y(f). Calculate x(2).
4
Let x(f) = f**3 - 3*f**2 + f - 2. Let y be 47/2 + (-7)/14. Suppose -y = -5*d - 8. Give x(d).
1
Let b(v) = -v**2 + 5*v + 4. Let k be b(6). Let g = -3 + 6. Let c(o) = o**3 - 33*o - g + 17*o + 14*o + o**2. What is c(k)?
-3
Let q(b) = -5*b**2 + 1. Let p = -13 - -14. Let z be p/(-3) + 2/(-3). What is q(z)?
-4
Let w(z) = -z**3 - 7*z**2 + 10*z + 16. Let o be w(-8). Let q(l) = l**3 + l - 4. What is q(o)?
-4
Let g(w) = 43*w**3 - w**2 - 10*w. Let p(q) = 29*q**3 - q**2 - 7*q. Let m(y) = -5*g(y) + 7*p(y). Give m(1).
-13
Let d(v) = -v**2 - 7*v - 5. Let s be (-1704)/(-108) - 4/(-18). Suppose 4*j + s + 0 = 0. Determine d(j).
7
Let d(b) = 7*b - b - 6*b - 2 + 3*b. Give d(5).
13
Let g = 7 + -5. Let z(m) = -g - 5*m - 3*m + 3*m + m**2. Calculate z(4).
-6
Let i be 3/6*-4 - -1. Let r(b) = -5*b**2 - 7*b - 5. Suppose 3 = 5*y + 23. Let s(u) = u**2. Let p(n) = i*r(n) + y*s(n). What is p(-5)?
-5
Let c(d) be the first derivative of -4*d**2 - 3*d - 5. Let w(q) = -q. Let u(o) = -c(o) + 6*w(o). Let a be ((-10)/(-6))/(2/(-6)). Calculate u(a).
-7
Let c(h) = -4*h. Let r(g) = -g. Let n(u) = -c(u) + 3*r(u). Let y be -6 + (-1 - -5 - 3). Let v be n(y). Let k(l) = -l**2 - 3*l + 6. What is k(v)?
-4
Let z(x) be the third derivative of -x**4/24 - x**3/6 + 2*x**2. Let q(a) = -a - 6. Let c be q(-5). Let r be c + -3*1/(-3). Calculate z(r).
-1
Let f(u) = u**2 - u + 1. Suppose -3 = 5*z - 13. Let r be ((-3)/z)/(3/(-10)). Suppose 4 = r*b - b. Calculate f(b).
1
Let c(v) = v - 4. Let j(g) = -5*g + 20. Let n(d) = -11*c(d) - 2*j(d). Give n(5).
-1
Suppose 4*l + 4*y + 12 = 0, 4*l - 4*y = 23 + 5. Let b(h) = 2 + 2*h**l - 4*h - 9*h**3 + 3*h - 2. Calculate b(1).
-8
Let g(b) = -3*b**3 - 6*b**2 - 6*b - 4. Let n(k) = -4*k**3 - 6*k**2 - 6*k - 5. Let u(s) = -3*g(s) + 2*n(s). Give u(-4).
10
Suppose 3*p - 7*p = -12. Let o(r) = 1 - p*r + 6*r - 5*r + 3*r. Give o(5).
6
Let s be (-92)/(-22) + (-4)/22. Let k(o) = 5 - s + 4*o + 0*o + 6*o. What is k(-1)?
-9
Let o(w) be the first derivative of -w**3/3 + 3*w**2 + 5*w - 2. Suppose -4*g + a = -15, -3*a + 8*a - 10 = 3*g. Determine o(g).
10
Suppose 1 = -4*h + 13. Let d(j) = 3*j + 2. Let p(t) = 1. Let k(n) = d(n) - 5*p(n). Calculate k(h).
6
Let x = -4 - 1. Let a(w) = -w**3 - 7*w**2 - 8*w - 3. What is a(x)?
-13
Suppose 2 = -3*o - 7. Let a(l) = 2*l + 3. Give a(o).
-3
Let t(a) = 2*a**3 - 6*a**2 + a - 1. Let v(m) = m**2 + 1. Let b(z) = t(z) + 3*v(z). Suppose 6*x - 3*x - 3 = -3*d, 5 = 2*d - x. Determine b(d).
8
Let n(i) = -3*i + 3. Let o = 55 + -52. Determine n(o).
-6
Let y(a) = -5*a. Let h = -2 - -7. Let n = -7 + h. Give y(n).
10
Let q(i) = 2*i + 6. Let d be 2 + (-5 - 1) - 13. Let b = d - -11. Calculate q(b).
-6
Let p(a) = -a**2 - 11*a - 7. Let r be p(-9). Let f = -7 + r. Let u(y) = -y + 3. Let z be u(f). Let v(n) = 6*n**3 - n**2 + 1. Calculate v(z).
-6
Let h = 12 - 3. Let p(n) = 2 - 4*n - 5 + h*n. Let y = 2 - 0. Calculate p(y).
7
Let b(x) = -x**2 + 4. Let c(u) = u**3 + 6*u**2 - 7*u - 3. Let w be c(-7). Give b(w).
-5
Let f(v) = -v**3 - 3*v**2 - 6*v - 4. Let l(b) = -b**3 - 2*b**2 - 5*b - 4. Let n = -13 - -7. Let r(j) = n*l(j) + 5*f(j). Determine r(3).
4
Let t be (-247)/(-52) - (-2)/8. Let f(j) = -j**2 + j + 4. Let b be f(0). Let q(l) = l* | {
"pile_set_name": "DM Mathematics"
} |
?
17/4
What is (-28)/8*(-137)/((-822)/(-36))?
21
Evaluate (((-2)/7)/((-32)/56))/(((-12903)/180)/(-253)).
30/17
What is the value of (((-288)/(-42))/(-16))/((-36)/42)?
1/2
What is the value of 1323/(-378)*(-130)/(-7)?
-65
What is the value of ((-2)/(-1))/2*(-101)/808*344?
-43
Evaluate 2798/6995*(-75)/(-24).
5/4
What is (22235/53364)/((-15)/(-1332))?
37
Evaluate (10*18/(-1620))/(42/18).
-1/21
((17465/1497)/(14/24))/(4/6)
30
Calculate ((-114114)/13794*(-11)/(-2))/(-1*2/4).
91
What is the value of ((-6674)/(-142))/(6/6)?
47
What is the value of -16*-1*(-20)/(-6)*726/(-605)?
-64
(372/48)/(40/160)
31
Evaluate (6/18)/(302/(-42582)).
-47
Calculate (936/273*-5)/((-3)/14).
80
Calculate ((943/(-615))/(-23))/1*6.
2/5
Evaluate 360/(-630)*(-49)/(-32).
-7/8
What is the value of (4422/536)/(6*13/936)?
99
What is ((-10)/1*-1)/(((-93)/1395)/(9/30))?
-45
Evaluate (7/(-42))/(13/195)*42/15.
-7
Evaluate (-36*(-1189)/(-1740))/((9/(-30))/(-1)).
-82
What is the value of ((-7)/(-1))/(1653/(-3306))?
-14
What is (8/(-42))/((((-992)/(-2))/(-16))/(14/4))?
2/93
What is the value of (-10)/(-26)*221/(-204)?
-5/12
Evaluate ((-84)/(-448))/(((-14)/(-196)*12)/(8/7)).
1/4
What is the value of (-41)/(82/28)*9/108?
-7/6
Evaluate (870/5075)/(14/(-49)).
-3/5
(3/(-6))/((-2291)/(-158))
-1/29
Calculate 180/14*5838/(-3753).
-20
What is ((((-12)/(-9))/1)/((-3)/9))/((-44)/(-528))?
-48
Calculate (-24)/(-6)*23/((-2392)/3)*-8.
12/13
What is the value of (-3*(-33)/198*-10)/3?
-5/3
What is the value of (-90)/(-99)*-1*(-726)/44?
15
Evaluate 144/2080*20*-2*6/12.
-18/13
What is ((-1)/10)/(14991/(-399760))?
8/3
Calculate 72/336*((-5)/(20/(-14)))/((-762)/127).
-1/8
What is ((-14994)/136)/(-7*(-297)/(-1848))?
98
What is the value of -40*(-2)/((1*-3)/((4182/68)/41))?
-40
Calculate (14/(-6))/((2424079/126)/811).
-6/61
What is (2/(-1))/(4/6*(-1890)/(-350))?
-5/9
What is (-144)/(-7)*686/(-7448)*-38?
72
What is the value of 1/((-20)/(-35)*109/(-1308))?
-21
(-52)/((-3016)/145)*3*(-380)/25
-114
Evaluate 279/(-3)*(-2)/(-36)*124/(-62).
31/3
What is (-10)/(-54)*439875/21250?
23/6
What is 52/(-33930)*-87*36/60?
2/25
What is (6/(3024/(-15)))/(6940/(-4858))?
1/48
Calculate (-3)/(-34)*(-8859)/(-26577).
1/34
((28/350)/(5/(200/4)))/(82/5)
2/41
(((-85)/680)/(2/16))/(12/(-16)*12)
1/9
(-120)/220*3762/(-10773)
4/21
What is (17*342/(-333336))/((-18)/(-8))?
-1/129
7*(-90)/(-180)*18/(-45)*(-10)/(-32)
-7/16
What is (-28)/105*-10*(-508)/34544?
-2/51
Evaluate ((-79)/316)/(((-3)/(-24))/(-1)*(-16)/744).
-93
What is the value of 185*-7*((-27)/(101871/(-22)))/((-35)/(-49))?
-74/7
(2/4*-10*90/105)/(81/(-756))
40
What is (-8)/52*((-16)/(-336))/((-350)/1470)?
2/65
Evaluate 210*(24*(-9)/1080)/(-5).
42/5
Calculate ((-7284)/1821)/((9/6)/((-30)/(-5))).
-16
Evaluate (154/1386)/(-1*238/126).
-1/17
What is (1096/959)/((-10)/28)*(-55)/11?
16
What is 2*-262*363/1452?
-131
What is the value of (-4)/(-24)*-4*24/40*135/(-378)?
1/7
What is the value of ((-11)/((-352)/24))/((-5)/(820/3))?
-41
Evaluate (5278/(-2639))/((-1)/3).
6
Calculate ((-18)/33)/(5/(-6)*-11*(-4)/110).
18/11
What is the value of (-245)/(-273)*2651/2410*6/11?
7/13
What is the value of (93/(-2))/(219/2336*16)?
-31
What is (-4)/(-5)*-33*310/16368?
-1/2
Evaluate 725/(-10)*624/(-780).
58
What is ((-262)/(95892/10431))/(6/(-32)*-4)?
-38
((-135)/((-8370)/(-3844)))/((-4)/(-24)*-3)
124
What is (-6)/3*(1/5)/((-33)/(2805/(-442)))?
-1/13
What is the value of (-36)/2*(-2643)/(-7929)?
-6
Evaluate 63/14*13064/(-5112).
-23/2
What is the value of (136/(-85)*-3*(-119)/42)/((-28)/(-70))?
-34
What is (-1)/1*152/((-2584)/(-68))*3?
-12
What is ((-7686)/1098)/((-7)/(-83))?
-83
What is ((-11052)/68768)/(3/40)?
-15/7
What is ((-903)/(-735))/((-6)/30)*7?
-43
What is (((-2688)/(-20))/(-8))/(35/(14000/(-120)))?
56
((-293)/((-28421)/22116))/3
76
Evaluate 109634/1346932*(-4)/(-14).
1/43
Evaluate 1*57*-2*34/68.
-57
What is 13/(-754)*8/18*21/(-7)?
2/87
Calculate (9/35)/((-987)/564*16/(-420)).
27/7
Evaluate (-7)/4*5560/228655.
-2/47
Evaluate 132/1210*110/(-80).
-3/20
(39/((-858)/40))/(((-16)/72)/((-1)/9))
-10/11
What is ((-8)/(-14))/((-5100)/26775)?
-3
2/(((-750)/(-42600))/(15/36*3/2))
71
Calculate -2*3/99*-29*(-1364)/(-46748).
2/39
Evaluate -66*((-434)/7595)/((-11)/((-55)/6)).
22/7
Calculate (20/28)/(((-11)/(110/2))/((-18)/(-75))).
-6/7
((-192)/(-4224))/(2077/(-341))
-1/134
What is the value of (116/609*-33)/(((-5)/(-7))/(-5))?
44
Calculate (1/(-2))/(3*(-255)/1836*(-2)/1).
-3/5
What is 432/4968*((6/(-27))/(-1))/((-6)/(-9))?
2/69
What is the value of ((-542)/3794)/(2/(-98))?
7
What is 60*63/(-2268)*12?
-20
((-144)/(-15))/(15048/47025)
30
Evaluate ((-2)/(-8))/((-7045)/(-169080)*-129*2/4).
-4/43
324/(-2079)*(-51051)/102
78
Evaluate (2/(-5))/((-9)/(-90))*5699/278.
-82
What is the value of (4/(-9))/((-464)/80*450/(-135))?
-2/87
(((-5)/(-30)*-2)/(-7)*3)/((-182)/26)
-1/49
((-8964)/(-3486)*(-14)/(-15))/(6/100)
40
What is 21*6/(-72)*15/(945/117)?
-13/4
Evaluate (8*35/(-1904))/((-180)/306).
1/4
2796/(-1165)*8*(-30)/12
48
What is (3/(-4))/(((-16)/(2368/(-5)))/((-85)/(-51)))?
-37
Evaluate -6*1/((-2176)/48)*3*(-8)/36.
-3/34
What is the value of (115/(-5)*4/(-10))/(5364/(-40230))?
-69
Evaluate ((-4)/(-52))/(31/((-15717)/(-468)))*(-102)/4.
-17/8
Calculate ((-10680)/1424)/((63/112)/(2/((-32)/(-12)))).
-10
What is (500/(-8750))/(-4*3/(-42))*-53?
53/5
Calculate (-2)/(-2*15/10)*43/(63210/(-90)).
-2/49
Evaluate (1255/(-120480))/((-2)/(-8)).
-1/24
What is -3*10*(-17391)/9486?
55
What is the value of (96/(-36))/(((-3)/42)/(19/((-760)/90)))?
-84
8*(-49)/((-5586)/(-3515))*3/10
-74
Calculate (63/4)/((-92)/(-161)*35/(-80)).
-63
Evaluate ((1/(-95))/(57/(-114)))/((-6)/5).
-1/57
What is (-1*115)/(35410/7082)?
-23
What is (-12)/21*45591/668?
-39
Calculate (-96)/5*((-90)/(-279))/((-316)/(-2449)).
-48
What is the value of ((30/9)/5)/((-17)/((-1581)/2))?
31
What is (6/120)/(28/(-7280))?
-13
What is the value of 1/(-50)*1/((-2)/(-12))*(-23400)/(-11700)?
-6/25
What is ((-1738500)/(-95))/122*2*3/36?
25
What is the value of 282/(-141)*(-75)/70?
15/7
Calculate 102/306*(-1)/((-42)/(-4)).
-2/63
What is the value of ((-2992)/132*(-3)/51)/(((-8)/90)/(-2))?
30
Calculate 2*-7*(264/12)/88.
-7/2
Calculate (-42)/7*4/(7/(14/16)).
-3
What is ((7/(-28))/(1232/396))/(27/(-72))?
3/14
Calculate (-24)/6*3/(-1)*(-27)/81.
-4
Calculate (71/(47215/38))/(660/35*(-5)/(-15)).
1/110
What is the value of 32/(112/((-728)/(-52)))?
4
Calculate ((-178)/1513)/((-90)/(-850)).
-10/9
Calculate (-288)/72*(-232)/4*(4/4)/32.
29/4
What is 56/21*6462/(-66774)?
-8/31
Evaluate 0/((36/(-30))/(((-585)/(-75))/13)).
0
What is ((-2)/(-20))/(3716/668880)?
18
What is 20*21*22/(-1232)*6?
-45
Evaluate -6*3/9*(-455)/(-546).
-5/3
3/(27/((-54)/6))*-7
7
Calculate 1/(-35)*(-967)/((-8703)/240).
-16/21
What is the value of ((-184)/138)/(74*(-2)/12)?
4/37
((-168)/(-2856))/((-56)/(-68))
1/14
What is the value of ((3/(30/25))/((-110)/88))/35?
-2/35
Evaluate ((-442)/832)/17*(-1080)/54.
5/8
Calculate (-1)/(-78)*-32*(-678)/452.
8/13
Evaluate (-351)/90*((-240)/(-24))/(108/9).
-13/4
What is the value of 4581/12216*(-400)/(-6)?
25
6/36*35/(210/(-36))*144/3
-48
Calculate ((-516)/645)/((-5)/150).
24
Evaluate 8120/(-725)*(-810)/144.
63
What is the value of (-33)/6*(-24)/(-968)?
-3/22
What is (((-47985)/75405)/(6/22))/((-1)/(18/7))?
6
What is the value of (64/(-18))/4*(-148)/(18056/(-366))?
-8/3
Calculate (-157)/((-1577850)/120)*15/(-4).
-3/67
What is the value of ((-31632)/9226)/((-6)/(-231))?
-132
What is the value of ((4914/3861)/(2/(-88)))/1?
-56
(2/(-133))/(19*93/4123*1)
-2/57
What is the value of 8*(-6)/198*(-2)/(68/(-255)*5)?
-4/11
Calculate ((-421)/(-2947))/((-4)/(-4)).
1/7
Evaluate ((-169)/2535)/(12/(-400)).
20/9
Calculate (12/(-6))/(((-15336)/(-2106))/(-142)).
39
Calculate (19/34)/((-610)/(-20740)).
19
What is the value of 71097/32814*(-6)/(-286)?
1/22
Evaluate 312/13*2*-16*(-15)/1920.
6
(((-57)/2)/((-720)/(-320)))/(48/72)
-19
(-71280)/(-1800)*30/8*56/126
66
(((-8)/28)/((-3)/14))/((-350070)/75015)
-2/7
1110/(-518)*1/5
-3/7
Evaluate 129338/(-29395)*(-100)/(-22).
-20
What is the value of 35*(-187)/(-33)*270/1785?
30
What is 1/(((-7)/6)/(5/(360/(-252))))?
3
Evaluate 42/(-15)*(-8025)/(-642).
-35
What is the value of 2/4*-3*(-138848)/1197564?
4/23
What is ((141/470)/((-1)/(-1)))/(27*(-11)/(-495))?
1/2
Cal | {
"pile_set_name": "DM Mathematics"
} |
16.
16
Let w(l) = -6*l + 356. Let m be w(47). What is the highest common factor of m and 962?
74
Suppose 65*b + 1705 = 70*b. What is the greatest common divisor of b and 62?
31
Let g = 0 + 3. Suppose g*t - 660 = -0*t. Suppose -4*x + 0*x = -t. What is the greatest common factor of 5 and x?
5
Let u be 0 + 0 - (1 - 3). Suppose -3302*c + 3*x + 10 = -3301*c, -5*x = 2*c - 42. Calculate the highest common divisor of u and c.
2
Let s = 58 - 40. Let j be (40/50)/((-2)/(-180)). Calculate the greatest common divisor of j and s.
18
Suppose 5*c + l = 9363, 10 - 7 = l. Calculate the highest common divisor of c and 6.
6
Suppose 5*s - 2 = 3*s. Let w(i) = 21*i. Let m be w(s). Let r(z) = z**2 - 170*z - 1970. Let a be r(-11). What is the greatest common divisor of m and a?
21
Let g = -170 - -215. What is the greatest common divisor of g and 120?
15
Suppose -47*j = -17*j - 1620. Suppose 0 = 3*v + 2*v - 30. What is the highest common factor of j and v?
6
Suppose 15*g = -133 + 1078. What is the greatest common divisor of g and 252?
63
Let n(w) = 9*w - 24. Let g be n(9). Calculate the highest common divisor of g and 551.
19
Suppose -5617 = -22*q + 3953. What is the greatest common divisor of q and 15?
15
Suppose 9*f - 200 = 4*f. Suppose -5*b = 3*u - 49, 5*b + 3 - 49 = -2*u. Calculate the highest common factor of b and f.
8
Suppose 4*q = 2*q + 6. Suppose -q*n - 4*b + 502 = 0, 0*b + b - 848 = -5*n. Let h = n - 79. Calculate the greatest common factor of 13 and h.
13
Let g = 1805 + -1791. Suppose 3*z + 21 = 3*t, 3 = -t - 2*z + 1. Let a = t + g. Calculate the greatest common divisor of 27 and a.
9
Let t(y) be the third derivative of 5*y**4/6 - 5*y**3/3 + 11*y**2. Let o be t(3). What is the highest common factor of 20 and o?
10
Suppose -5*a + 15 = 2*u, 0 = -5*u + 2*u + 3*a + 54. Let w = -8 + u. What is the highest common divisor of w and 35?
7
Let r(d) = d**3 + 3*d**2 - 3*d. Let g = 13 + -10. Suppose -4 = -4*l + 2*a + 4, 0 = -g*a. Let h be r(l). Calculate the greatest common divisor of h and 2.
2
Let h(a) = -a**2 - 8*a + 22. Let l be 292/(-20) + (-4)/10. Let z be h(l). Let n be z/(-9) - (-6)/(-27). What is the greatest common factor of 54 and n?
9
Let z be -4*(-21)/(-2)*6/(-14). Suppose 0 = 5*o - 172 - z. What is the greatest common factor of 95 and o?
19
Suppose 0 = -8*p + 1369 + 1575. What is the greatest common factor of 4 and p?
4
Suppose 2*f - 3*a = 268 - 56, 0 = -f - a + 116. What is the highest common factor of f and 4?
4
Let n be (4 + -2)*(7 + -9). Let h be -1 + (4 - 2) - n. Suppose 3*r - h = 2*r. What is the highest common factor of r and 15?
5
Let u(a) = -7*a**2 + 3*a + 2. Let p be u(-1). Let z = 64 + p. Suppose -2*r - 22 = -4*f, r = 5 - 0. Calculate the greatest common divisor of f and z.
8
Let s be 8 + -1 - (13 + -20). What is the greatest common divisor of s and 147?
7
Suppose -4*o + 92 = 2*t, -37 = -t - 3*o + 5. Calculate the highest common factor of t and 2538.
54
Let l(w) = 13*w**2 - 7*w + 9. Let p be l(3). Suppose -3*j - 23 = -68. What is the highest common divisor of p and j?
15
Suppose 6*t + 251 = 1295. What is the highest common divisor of t and 6?
6
Let q be (7 - -62) + (-3 + 7)*-1. What is the highest common divisor of q and 39?
13
Let l be 716 - (2/(-4))/((-2)/8). What is the highest common divisor of l and 42?
42
Let l be 2*(-3)/8*24/(-6). Suppose 2*d + 160 = l*d. Let g(i) = -21*i - 1. Let x be g(-1). What is the greatest common factor of x and d?
20
Let z(b) = b**3 + 13*b**2 + 31*b + 22. Let w be z(-10). Calculate the greatest common divisor of w and 54.
6
Let i = -5 - -8. Let h = -112 - -114. Suppose -6 = 2*u, -h*v - u + i*u + 14 = 0. What is the greatest common factor of 8 and v?
4
Let x = 38 + 3. Suppose 19 + x = 2*k. What is the greatest common divisor of k and 120?
30
Suppose -3*r = -h + 140, -2*r = -3*r - 5. Calculate the greatest common divisor of h and 175.
25
Suppose 4*x - d = 151 + 301, 0 = -3*x + 3*d + 330. Suppose 24 = p - 5*a, -2*a - x = -6*p + 2*p. What is the greatest common divisor of p and 203?
29
Let p be (-34 + 35)/(2/130). Calculate the highest common factor of p and 10.
5
Let g = -8 + 47. Let v = -19 - -25. Suppose 2*d - 58 = -v. What is the highest common divisor of g and d?
13
Let s(i) = -3*i**3 - 3*i**2 - 29*i - 144. Let r be s(-6). Calculate the highest common divisor of r and 45.
15
Suppose -u + 4*x + 30 = -1, -160 = -4*u - 2*x. What is the highest common factor of 52 and u?
13
Let t be 9 + (2 - 7) - -524. Calculate the highest common factor of 48 and t.
48
Let w = 129 + -123. Calculate the greatest common divisor of 222 and w.
6
Suppose -2*k - 53 = -1. Let u be (-16 - -12)*k/(-4). Let y = -8 - u. What is the greatest common factor of y and 36?
18
Suppose x = -4*j - 4*x + 122, -x = -j + 35. Calculate the highest common factor of 187 and j.
11
Suppose 20*y - 10*y - 440 = 0. What is the greatest common factor of 172 and y?
4
Suppose 406 + 654 = 5*k. Suppose -x - k = x. Let p be (-2 - -2) + 4 - x. What is the highest common divisor of p and 22?
22
Let u = 14 - 8. Suppose 2*k - 5*k = 30. Let m(i) = i**3 + 11*i**2 + 10*i + 6. Let r be m(k). Calculate the highest common factor of r and u.
6
Suppose -2*o - 4*x = -8, 2*o - x = -0*o + 13. Calculate the greatest common factor of o and 81.
3
Let m be ((-4)/4)/((-2)/8). Suppose w - 56 = m*p, 3*p + 3 = 9. Suppose -3*j + 96 = 5*g, j + 3*g = -j + w. What is the greatest common divisor of j and 4?
4
Suppose -138*u + 4*y = -139*u + 2027, 0 = u + y - 2039. What is the highest common factor of u and 9?
9
Let l(z) = 26*z - 76. Let y be l(6). What is the greatest common factor of y and 100?
20
Suppose 4*k - 2 = 2, -4*o - 3*k = -59. Let z(y) = -6 + 3*y**3 - 5*y**2 - 2*y**3 - y**2 + 3 + 7*y. Let v be z(5). What is the greatest common factor of o and v?
7
Suppose 37 = 6*b + 7. Suppose -5*k - b*k + 340 = 0. What is the greatest common divisor of 340 and k?
34
Suppose -4*q + 40 = -2*q. Let d = -16 + q. Let w be d/(12/27) - -2. Calculate the greatest common factor of 11 and w.
11
Let r = -12 - 108. Let u = 450 + r. What is the highest common factor of u and 30?
30
Let l(t) be the third derivative of t**5/60 + t**4/12 + 4*t**3/3 + 10*t**2. Let a be l(6). Calculate the highest common factor of a and 7.
7
Let y = 76 + -28. Suppose -5*l = -l - y. Suppose -2*u = u - 24. What is the highest common factor of l and u?
4
Let p be (-1)/(3/(-424)) - 6/(-9). Let y = 133 + p. Calculate the highest common divisor of y and 25.
25
Suppose 0*q - 2*q - 3*p + 8 = 0, -5*q + 3*p = -41. What is the greatest common factor of q and 7?
7
Let w be -3*2/(-12)*-2. Let a be w*(-8)/(1 + 1). Suppose 2*f + 2*r - 44 = -f, a*r = -4*f + 56. What is the highest common divisor of f and 16?
16
Suppose 177*l - 180*l = -36. What is the greatest common factor of 96 and l?
12
Suppose 19*i - 15*i = 148. What is the highest common factor of i and 74?
37
Let m be (-8)/12*(-6)/(-4). Let u be m/((-3 + 2)/5). Let n = 32 + 8. What is the greatest common divisor of u and n?
5
Let x be (-2 + 1)*-2 - -31. What is the highest common factor of x and 11?
11
Suppose 5*m + 66 + 26 = 2*p, 0 = -5*p - 2*m + 259. Let a = p + -4. Calculate the greatest common divisor of a and 47.
47
Suppose -4*r + 8 = 4. Let c be r - (-5)/((-10)/(-6)). Let m be (14/(-77) - (-348)/99)*3. Calculate the greatest common divisor of m and c.
2
Let p(b) = -b**3 + 12*b**2 + 6*b + 26. Let n be p(12). What is the highest common factor of 2 and n?
2
Let z = -58 - -58. Suppose 4*r + k - 25 = -4*k, 5*r + 5*k - 30 = z. Calculate the greatest common factor of 30 and r.
5
Let z = -81 + 42. Let x be z*((-21)/(-2))/((-72)/32). Calculate the greatest common divisor of x and 26.
26
Let v be 9 - 7/((-7)/4). Suppose -8 = -2*d + 4*x, -3*d + 0*d + x + 2 = 0. Let c be (d - 1) + 1*40. Calculate the highest common divisor of v and c.
13
Let a(g) = -59*g - 183. Let u be a(-5). What is the highest common divisor of u and 504?
56
Let x be ((-28)/(-42))/(1/84). Let u = 36 + -22. What is the greatest common factor of u and x?
14
Suppose 33*x - 32*x = -2. Let y be 5*(x + 8) - -3. Calculate the greatest common factor of 3 and y.
3
Suppose -25 = 3*u - 37. Suppose u*q = -2*p + 78, 3*p + q - 127 = -25. What is the highest common divisor of p and 3?
3
Let r = 506 + -472. What is the greatest common factor o | {
"pile_set_name": "DM Mathematics"
} |
*v + 3. Let r be q(4). Suppose 4*y - 800 = -5*t + r, 2*t - 5*y = 316. Is t prime?
True
Suppose 3*q - 6*q = 15. Let w(b) = -5*b**2 - 2*b - 9. Let o(h) = -6*h**2 - h - 10. Let u(y) = 3*o(y) - 4*w(y). Is u(q) a composite number?
False
Let x(l) = l**3 - 13*l**2 - 13*l - 12. Let f be x(14). Suppose -7 = f*k - d - 23, 44 = 4*k - 5*d. Is k composite?
True
Let h(y) be the first derivative of 11*y**7/840 - y**6/180 + y**4/24 - y**3/3 - 1. Let g(k) be the third derivative of h(k). Is g(1) a composite number?
True
Let l(t) = 5*t**2 - 2*t - 8. Is l(-5) prime?
True
Let o be ((-6)/12)/((-1)/270). Let l = -68 + o. Is l composite?
False
Is 9/6*-2 + 392 a prime number?
True
Let v(u) = u**3 - 4*u**2 + 2*u + 2. Let j be v(3). Let l be 0 - (8 - (-1)/j). Is (1 - 2)*(l + -2) prime?
False
Is (3/(-9))/(1/(-57)) a composite number?
False
Let r(b) = b**2 - 10*b + 3. Suppose 2*v - 12 = u, -3*u - 22 = v + 7. Is r(u) composite?
True
Let x be 27 - (-1 - -4)/(-3). Let t = 49 - x. Is t a composite number?
True
Suppose 2583 = 5*n + 3*w + w, 0 = 4*w - 8. Suppose 0*s + 5*s = n. Is s prime?
True
Suppose 1 = 3*z - 4*z. Let q = z - -26. Is q a composite number?
True
Let h(v) = v + 11. Let r be h(-7). Suppose 4*f = -s + 206, -3*s - f + 573 = -r*f. Is s prime?
False
Let i be 580/(-18) + (-8)/(-36). Let g = i - -83. Is g a composite number?
True
Let c(s) = s**2 - 3*s - 5. Let p be c(5). Suppose -3*l + 30 = -p*l. Let r = l - -226. Is r prime?
True
Let r(d) = d**3 - 8*d**2 + 14*d + 10. Is r(7) a prime number?
True
Suppose 1 = 4*z + 5. Let x be 1 - ((2 - 1) + z). Is (3 + -4)/(x/(-83)) a prime number?
True
Suppose 13*j + 686 = 27*j. Is j a prime number?
False
Let l(n) = 42*n**2 + 2*n + 7. Is l(-3) prime?
True
Is 67 + -2*3/3 a composite number?
True
Let m(o) = o**3 - 7*o**2 + 11*o + 11. Is m(8) a composite number?
False
Let p be 4 - (2 - (3 + 80)). Suppose r = 124 + p. Is r a composite number?
True
Suppose 4*n - 3*c - 20 = 0, 2*n + 0*n = -2*c - 4. Suppose -n*y = -y. Suppose 31 = -y*x + x. Is x prime?
True
Let p(l) = -l + 1. Let j be p(-3). Let k(m) = m**2 + 5. Is k(j) a prime number?
False
Suppose 0*l + 2*l + 3*t = -11, 5*t - 3 = 2*l. Let x(s) = s**2 + 4*s + 2. Let p be x(l). Suppose 3*y - 379 = 2*r, 169 = p*y - 4*r - 81. Is y composite?
False
Suppose 2*m = -x + 352, x + 194 = 2*m - 166. Let g(k) = -k + 4. Let w be g(4). Suppose -4*l - 30 + m = w. Is l a composite number?
False
Let j be 0 + (1 - 2) - -1. Let l be (j - 0) + 1*46. Suppose 3*w + 7 = l. Is w composite?
False
Suppose -3*c - 6*s + 5*s = -578, -3*c - 4*s + 593 = 0. Let r = c - 88. Is r a composite number?
False
Let c(i) = i + 5. Let p be c(11). Suppose 5*u = -4*s + 29, -3*s - p - 23 = -3*u. Is 6/9 + 1281/u composite?
True
Let f = 15 - 1. Is (-9 - 34)/((-2)/f) composite?
True
Let h = 4900 + -2801. Is h prime?
True
Let j be (-2)/6 - 26/(-6). Suppose 256 + 321 = 4*t + 5*q, 4*q = j. Is t a composite number?
True
Let r = 5 + -2. Suppose -7*c = -2*c - r*x - 1804, 0 = -3*x - 9. Is c a prime number?
True
Let c be (-1)/((-2 + 4)/(-2)). Let i be (-20 - 2)/(-2 + c). Is i + (-1 - (0 + 0)) prime?
False
Is -3*(-29 + 4 + -4) a prime number?
False
Suppose 0*j - 5*j + o - 6 = 0, o = 4*j + 4. Is (4/j - -139) + -3 prime?
False
Let p be 0/(-1) - 2*1. Let h be 44 + 1*(p + 4). Suppose f + 0*f = h. Is f composite?
True
Let f = 1 + 1. Let q(j) = 5*j**2 - 2*j + 2. Let y be q(f). Suppose -4*g + 10 = -y. Is g a prime number?
True
Let t be (-2)/4*(-8)/2. Let w = 69 + -34. Suppose t*s - 101 = 5*h - w, -h - 96 = -4*s. Is s prime?
True
Let c(s) = -s - 5. Let b be c(-7). Suppose -5*h = q - 1, 2*h = -b*h. Is q - -12*(-12)/(-3) a composite number?
True
Is 2/(16/12)*106 composite?
True
Let l = 0 + 2. Let j(x) = x**2 - 5*x + 2. Let s be j(6). Suppose -l*p - s = -38. Is p composite?
True
Let z be -1 - 1 - (-200)/(-5). Let m = 187 + z. Is m composite?
True
Suppose 3 = 4*s - 9. Suppose -d - 3*d + 271 = -3*i, s*d - 200 = -i. Is d a composite number?
False
Suppose -5*t + 39 = -4*u, -5*u - 3*t - 18 = t. Let m = u - -11. Suppose -56 = -m*i + 49. Is i a prime number?
False
Let c(a) = 69*a**3 + 12*a**2 - 16*a + 21. Let q(k) = 17*k**3 + 3*k**2 - 4*k + 5. Let t(r) = -2*c(r) + 9*q(r). Is t(2) a prime number?
True
Suppose 3*d - 5 = 2*d. Suppose 0*q - 4*q + 163 = -3*w, d*q - 205 = 4*w. Is q a prime number?
True
Suppose 4*s + 4*v = 2*s + 1266, 3*v = -4*s + 2522. Is s a composite number?
True
Let f(y) = -4*y + 7. Let d be f(5). Let x = d + 38. Suppose x = 5*z, -2*z = 2*v + 2*v - 142. Is v a prime number?
False
Let q(n) = 57*n**2 + 13*n - 1. Is q(-6) composite?
False
Let h(a) = 7*a**2 + 7*a + 4. Is h(-3) a prime number?
False
Let h(o) = o**3 - 8*o**2 - 5*o - 1. Let r be 194/22 + (-6)/(-33). Is h(r) a prime number?
False
Is (1 - -94) + (-12 - -14) prime?
True
Let r(p) = 5*p**3 - 6*p**2 - 7*p + 1. Let u be r(5). Suppose u - 1253 = -4*l. Is l a composite number?
True
Is (-4)/16*-4 + 5876/2 composite?
False
Let j(z) = -z**2 + 67. Suppose 2*i + 0 = -8. Let l = i + 4. Is j(l) a prime number?
True
Suppose -q = -5*r + 26635, -3*r - 2*r = 4*q - 26635. Is r composite?
True
Suppose 2342 = 5*b + 867. Is b a prime number?
False
Let o be (-15)/(-3)*1 - 0. Is (-12)/(-60) - (-1114)/o composite?
False
Suppose 0 = -3*j + 2236 - 439. Let g = -388 + j. Is g a prime number?
True
Let r be 10/(-10)*(-7 - -1). Suppose 0 = r*w - 785 - 337. Is w a prime number?
False
Suppose -3*h + 4 + 2 = 0. Suppose 0 = h*v - 5*v - 615. Let c = 354 + v. Is c a composite number?
False
Suppose -k = 3*k. Suppose k = n + n. Suppose 3*u - 3 - 18 = n. Is u prime?
True
Suppose 0 = -2*b - 3*b - 10, 4 = u - 2*b. Suppose u*z - 16 = -4*z. Suppose z*x + 50 = s, -232 = -5*s + 4*x - 2*x. Is s composite?
True
Suppose 7*n - 56 = 2583. Is n a prime number?
False
Let v(q) = 307*q + 1. Let x be v(-1). Let m = x - -557. Is m a composite number?
False
Let w(p) be the first derivative of -17*p**2/2 + 4*p + 3. Is w(-3) composite?
True
Let i = 16 + -12. Suppose i*z - 519 = 109. Is z prime?
True
Let o be (-1)/5 - (-64)/20. Suppose -5*p - o*y = -2 + 17, -4*y = 2*p + 20. Suppose 3*t - 3 = p, 0*t - 2*t = l - 5. Is l prime?
True
Suppose -18 = t - 103. Is t a composite number?
True
Let w(x) = x**2 - 2*x - 1. Let b be -12*(-2 + 5/2). Let i = b - -2. Is w(i) a prime number?
True
Is (4/(-22) - (-3841)/11) + -3 composite?
True
Let m(d) = 92*d**2 + 1. Is m(1) composite?
True
Suppose -3*t + 4985 = 2*t. Let w = t + -666. Is w a prime number?
True
Suppose -4 = -z - 0. Suppose -z*n + 15 = -n. Suppose -w = 2 - n. Is w a prime number?
True
Suppose -3*u + 2*u + 4*p = -200, -5 = -5*p. Is (u/(-10))/((-10)/25) a composite number?
True
Let x(q) = q**3 + 5*q**2 + 3*q + 6. Let l be x(-5). Let t = l + 11. Suppose t*a + 2*a - 819 = -3*g, a - 2*g - 191 = 0. Is a prime?
False
Suppose -3*s + 4*z + 2 = -0, 5*s - 4*z - 6 = 0. Is s composite?
False
Is (-2)/7 - -9*(-258)/(-42) composite?
True
Let u be (-1 + (-1)/(-2))*-4. Let q be 54*(-1)/1 - u. Is (-4)/10*(q - -1) a composite number?
True
Suppose 0 = -2*q + 14 - 4. Suppose -4*k = 3*p + 28 - 155, q*p - 197 = -3*k. Let o = 102 - p. Is o prime?
False
Let j(c) = 2*c**2 + 9*c - 9. Is j(-8) a composite number?
False
Let v(z) = -172*z - 6. Let d be v(-3). Suppose d = 4*j - i, 633 = 5*j - 0*i + i. Is j prime?
True
Suppose 3*j - 148 = 5*r, -j = -0*j + 4*r - 38. Is j + 0 - 2/(-2) composite?
False
Let k(p) = -130*p - 23. Is k(-25) a composite number?
True
Is ((-2)/(-4))/(8/6704) a composite number?
False
Let h = 4 + -1. Suppose -4*f - 12 = 0, f = k + h*k - 15. Is (-4)/12 - (-274)/k a composite number?
True
Let r be ((-2)/(-4))/(3/354). Let x = r - 26. Is x a prime number?
False
Let h = 16 - 2. Is h a composite number?
True
Is 35*(-4)/(-4 + 0) a prime number?
False
Let m = -2535 - -4820. Is m composite?
True
Let n = -1 + -5. Let x(w) = -6*w**2 - 14*w + 1. Let p(a) = -5*a**2 - 13*a. Let c(m) = 5*p(m) - 4*x(m). Is c(n) composite?
True
Let h be 2*3/6*103. Suppose 0 = 5*f - 303 + h. Let a = f - 25. Is a a prime number?
False
Let m = -4 + 4. Let n = m + -3. Is n/9 - 1074/(-9) a prime number?
False
Suppose 6*y - 5*y + 4*u = 16, -13 = -y - 3*u. Suppose c = 5*a - 2*c - 218, -y*a = -c - 173. Is a a prime number?
True
Suppose -i + 6*o = 3*o - 11, 0 = -2*i - 5*o. Suppose 0 = -i*t + 40 + 25. Is t a prime number?
True
Suppose -l - 4*g = 3*l - 194 | {
"pile_set_name": "DM Mathematics"
} |
53725450?
50
Calculate the greatest common factor of 1133290 and 29030.
10
Calculate the greatest common factor of 49734890 and 40.
10
Calculate the highest common divisor of 255335 and 76489.
223
What is the highest common factor of 312552 and 19548?
108
What is the highest common divisor of 2 and 1048412?
2
What is the highest common factor of 2864763 and 26334?
1881
What is the greatest common divisor of 277975 and 8216941?
11119
Calculate the highest common divisor of 110068 and 2688.
28
Calculate the greatest common divisor of 6095040 and 3948.
84
What is the highest common divisor of 14416 and 12536514?
1802
What is the highest common divisor of 16 and 32046992?
16
What is the highest common divisor of 1567359875 and 250?
125
What is the highest common factor of 1340 and 428999660?
1340
Calculate the highest common divisor of 14284012 and 17.
17
Calculate the highest common factor of 32618 and 678038.
694
What is the highest common factor of 253090708 and 488?
244
What is the greatest common factor of 311067 and 102787?
41
What is the greatest common divisor of 471 and 60030677?
157
What is the highest common divisor of 191661651 and 10095?
2019
What is the greatest common divisor of 210 and 38282097?
21
Calculate the highest common factor of 97788160 and 2560.
1280
Calculate the greatest common factor of 1918208 and 144.
16
What is the greatest common divisor of 37735158 and 66258?
2454
Calculate the greatest common divisor of 4163518 and 44.
2
Calculate the highest common factor of 679702 and 15370.
58
What is the greatest common divisor of 981035 and 891?
11
What is the highest common factor of 3197372353 and 7379?
7379
What is the highest common factor of 1834 and 5233452?
14
Calculate the greatest common divisor of 93131392 and 16.
16
What is the highest common divisor of 268056 and 1095480?
1224
Calculate the greatest common factor of 68074142 and 82297.
4841
What is the greatest common factor of 2236212367 and 107?
107
Calculate the greatest common factor of 14720689 and 2.
1
What is the highest common factor of 77488 and 1744?
16
What is the greatest common divisor of 4119555 and 330?
165
What is the highest common divisor of 16271541 and 235?
47
Calculate the greatest common factor of 9688 and 12078514.
2422
What is the highest common factor of 16077 and 12078105?
69
Calculate the highest common divisor of 15140806 and 932.
466
Calculate the highest common divisor of 886499 and 2652.
17
Calculate the greatest common factor of 8143109 and 221.
13
What is the highest common factor of 86820 and 4?
4
Calculate the highest common divisor of 651 and 108299926.
217
What is the highest common divisor of 126449 and 23467?
31
What is the highest common factor of 4270731 and 39693?
393
What is the greatest common factor of 166071 and 1738722?
591
Calculate the highest common factor of 336 and 1917111.
21
What is the highest common factor of 8055257 and 7595?
1519
Calculate the greatest common factor of 46675 and 3075.
25
What is the highest common divisor of 44758084 and 112?
28
Calculate the highest common divisor of 191288574 and 8952.
2238
What is the highest common factor of 1391911 and 8894?
4447
What is the greatest common factor of 16464874 and 9010?
1802
Calculate the highest common factor of 22 and 14158.
2
What is the greatest common divisor of 41410952 and 1166?
22
What is the highest common divisor of 4598265 and 140?
35
Calculate the highest common factor of 1701 and 229509.
63
Calculate the highest common factor of 643326 and 9156.
6
What is the highest common divisor of 1751 and 279233?
103
What is the highest common factor of 531545 and 15?
5
What is the greatest common divisor of 27171 and 31230?
9
Calculate the greatest common divisor of 140225 and 818914.
5609
Calculate the greatest common divisor of 810 and 1857897.
81
What is the highest common divisor of 1945 and 141207000?
1945
Calculate the greatest common divisor of 95657 and 1196.
23
Calculate the greatest common factor of 2681152 and 41344.
64
Calculate the highest common factor of 72 and 2788045488.
72
What is the greatest common factor of 6241 and 780520?
79
Calculate the highest common factor of 96 and 554491596.
12
Calculate the highest common divisor of 23219 and 13433850.
3317
What is the greatest common factor of 2314780 and 28652?
1508
Calculate the greatest common divisor of 34485 and 5818978.
209
Calculate the greatest common divisor of 109680 and 402676410.
13710
Calculate the highest common factor of 4359973 and 51.
17
Calculate the highest common factor of 185816187 and 122.
61
Calculate the highest common factor of 2040066252 and 1362.
1362
What is the highest common factor of 9080790 and 36733?
109
Calculate the highest common factor of 304 and 14163189.
19
What is the greatest common divisor of 998928 and 11032?
56
Calculate the greatest common divisor of 60204424 and 168.
56
What is the highest common factor of 8602 and 14434904?
374
What is the greatest common divisor of 3858345 and 135?
45
Calculate the highest common factor of 104716 and 23500.
188
Calculate the highest common divisor of 959868 and 2344.
1172
What is the highest common divisor of 76702313 and 1597?
1597
What is the highest common factor of 11715487 and 161?
161
What is the greatest common factor of 228 and 24114990?
114
Calculate the greatest common divisor of 3852 and 23418.
18
What is the greatest common factor of 4466502 and 2647863?
9423
What is the greatest common factor of 202240 and 1105210?
790
What is the highest common factor of 92846572 and 213028?
11212
What is the greatest common divisor of 18967 and 497393?
13
Calculate the greatest common divisor of 312740 and 6080.
380
What is the highest common factor of 94982917 and 58?
29
Calculate the greatest common divisor of 209174859 and 108.
27
What is the greatest common divisor of 68928 and 31296?
192
Calculate the greatest common divisor of 144409800 and 6060.
6060
Calculate the highest common factor of 1130991 and 30747.
831
Calculate the highest common divisor of 80 and 350947216.
16
Calculate the highest common divisor of 985338 and 52942.
514
What is the highest common divisor of 3573 and 2023579269?
3573
What is the highest common divisor of 344728 and 47110024?
8408
Calculate the greatest common divisor of 4143519 and 262959.
2553
What is the highest common factor of 1280 and 60880?
80
Calculate the highest common factor of 60390 and 48740.
10
What is the highest common factor of 2977 and 1243699?
229
Calculate the greatest common factor of 27232764 and 116.
4
Calculate the highest common factor of 282 and 33732417.
141
What is the greatest common divisor of 23840 and 1995408?
2384
Calculate the greatest common factor of 90 and 1046210.
10
Calculate the highest common divisor of 140729652 and 63.
63
Calculate the greatest common divisor of 224307 and 16.
1
What is the greatest common factor of 628838 and 25746?
14
What is the highest common factor of 1161 and 684861?
129
What is the highest common factor of 379890 and 5741820?
1890
Calculate the greatest common divisor of 362988652 and 4.
4
What is the highest common divisor of 140 and 7415695?
35
Calculate the highest common divisor of 1312 and 14576812.
164
What is the highest common factor of 42 and 5997292?
14
Calculate the greatest common factor of 265 and 3856220.
5
What is the highest common divisor of 2234645 and 533365?
1715
What is the greatest common factor of 7280299 and 1053?
13
What is the greatest common divisor of 2461 and 1103563?
23
Calculate the highest common divisor of 813247 and 1704707.
841
What is the highest common factor of 1209765 and 10110?
15
What is the highest common factor of 244538 and 23366?
14
What is the greatest common factor of 3176 and 7488214?
794
Calculate the greatest common factor of 386775 and 7696345.
955
Calculate the highest common factor of 4636 and 271099372.
4636
What is the greatest common factor of 97495 and 2931140?
3145
Calculate the highest common factor of 24114856 and 56.
8
What is the highest common divisor of 16465 and 48327365?
185
Calculate the highest common factor of 111537 and 216189.
1377
Calculate the greatest common factor of 63392385 and 28140.
7035
What is the greatest common factor of 1 | {
"pile_set_name": "DM Mathematics"
} |
- 4*x**2 + 20*x + 3)*(-3*x + 5*x + x).
324*x**5 - 243*x**3
Expand ((3 - 1 + 0)*(2 - 2 - 2*z) + 2*z + 0*z - 3*z - 5*z - z + 2*z + 5*z + z - 2*z + 3*z - 3*z - 2*z)*(-2*z + 2*z + 2*z).
-14*z**2
Expand 0*v**3 + 2*v**3 - 3*v**3 + (2*v**2 + 0 + 0)*(6*v + 0*v + 0*v).
11*v**3
Expand (0*t + 3*t - 4*t)*(-893 + 36*t + 229*t + 891).
-265*t**2 + 2*t
Expand (2*w + w - 5*w)*(1 - 6 + 3) + (2 - 2 + 2*w)*(27 - 1 + 9) + 2*w + 2*w - w + (2*w + 4*w - 4*w)*(-2 + 2 - 1).
75*w
Expand (-4*t**3 + 2*t**3 + t**3 + t**3 + 0*t**3 + 0*t**3 + (t - t + t)*(-t**2 - 2*t**2 + t**2) - 6*t**3 + t**3 + t**3)*(-3*t + 5*t + 7*t)*(-2 - t + 2).
54*t**5
Expand ((-27 - 40 + 40)*((-v + 4*v - 4*v)*(2 - 3 - 1) + 4*v - 3*v + v) - 2 + 2 - v)*(0*v + v + 0*v).
-109*v**2
Expand 6 + 5 - 276*g + 305*g - g**4 + 3*g**4 - 3*g**4 + 2*g**4 + (-2*g + 0*g + 3*g)*(g**3 + g**2 - g**2).
2*g**4 + 29*g + 11
Expand (-2*c + 2*c + c)*(-6*c + 3*c + 5*c) + (-c + 2*c + 3*c)*(-c - 15*c + 2*c).
-54*c**2
Expand ((2*s + 0*s - 3*s)*(4*s - s - 5*s) + 6*s**2 - 3*s**2 + 0*s**2)*(-2*s + 16*s - 6*s).
40*s**3
Expand (3*v - 3*v - v)*(-5*v**3 + 0*v**3 + 4*v**3) - 10*v + 4*v**4 + 10*v + v + 14*v**4 + 2 - 9*v**4 + v.
10*v**4 + 2*v + 2
Expand (1 - 1 + 2*c - 2)*(-2 - 6 + 1).
-14*c + 14
Expand (-5 - t + 447*t**3 + 1 - 456*t**3)*(-38*t - 24*t + 14*t).
432*t**4 + 48*t**2 + 192*t
Expand 2*q**2 - 3*q**2 - 1 + 0*q**2 + (0 + 0 + 7)*(1 - 1 - q**2) - 2*q**2 + 0*q**2 + 3*q**2.
-7*q**2 - 1
Expand (1 - 1 - h)*(2*h**2 + 7*h**2 + 0*h**2) + 12*h**3 - 16 + 16.
3*h**3
Expand (y - y - y)*(0*y + 2*y - y) - 1291*y - 2 + 1291*y - 8*y**2.
-9*y**2 - 2
Expand (-50*k + 50*k - 9*k**2)*(6*k - 3*k - k + (3*k + k - 2*k)*(0 - 5 + 3) + k + 0*k - 3*k).
36*k**3
Expand (-1 - m**3 + 1)*(4 + 0 - 2) + 4*m**3 - 2*m**3 - 4*m**3 - 2*m**3 - 2*m**3 + 2*m**3 - 121*m**2 + 121*m**2 - 284*m**3.
-290*m**3
Expand (0 - 2*d + 0)*(-17*d - 20*d**2 + d**4 + d**4 + 19*d**2).
-4*d**5 + 2*d**3 + 34*d**2
Expand -3 + 3 - 2*c + (4*c - 5*c - c)*(-3 + 0 + 4) + 2*c - 5*c - 8*c + 5*c + c - 4*c.
-13*c
Expand (-20*l + 20*l + 4*l**4)*(-1 + 1 - l) + 3 + 2*l**5 - 3 + (-125*l**4 + 65*l**4 + 49*l**4)*(-4*l - 3*l + 6*l).
9*l**5
Expand ((3*l - 4*l + 0*l)*(-3*l**2 + 0*l**2 + l**2) + 7*l**3 - 2*l**3 - 2*l**3)*(227*l - 156*l + 101*l).
860*l**4
Expand (3*j - j - j + 6*j + 0*j - 4*j + (5*j - j - 2*j)*(0 - 2 + 0) - 4*j + 2*j + 0*j + 4*j + 4*j - 7*j)*(2*j**2 - 24*j + 49*j - 4*j**2).
4*j**3 - 50*j**2
Expand 16*c**2 - c - 2*c**4 + 0*c**2 + 2630 - 2631 + (2*c - 3*c - c)*(-c**3 + 0*c**3 + 2*c**3).
-4*c**4 + 16*c**2 - c - 1
Expand (-2 + 4 - 3)*(-v - 4 + 4)*(v**4 + 4*v**4 - 2*v**4) - 5*v**4 + 5*v**4 + 2*v**3 + 2*v**5.
5*v**5 + 2*v**3
Expand 1 + d - 1 + (0*d - 5*d + 3*d)*(-15 - 19 + 13).
43*d
Expand (4070*f - 4070*f - 26*f**3 + 2)*(0*f**2 - 3*f**2 - 2*f**2).
130*f**5 - 10*f**2
Expand d**5 - 40*d**5 - 5*d**5 + (d**3 + d**3 - 4*d**3)*(-2*d**2 + 2*d**2 - 2*d**2) + 2*d**3 - 2*d**5 - 2*d**3 + (-5 + 4 + 0)*(5*d - d**5 - 5*d).
-41*d**5
Expand -2*h**3 + 2*h**3 + 4*h**3 + ((-1 - 3 + 5)*(-3*h - 2*h + 3*h) + 5 - 5 - 8*h)*(2 - 2 + h**2) - 6 + 6 - 2*h**3.
-8*h**3
Expand 0*i**3 - 4*i**3 + 2*i**3 + (0 + 2*i + 0)*(i**2 - 3*i**2 + i**2) + 3*i**3 - 3*i**3 - 3*i**3 + (0 + i**2 + 0)*(-4*i + i - i) + 0*i**3 - 3*i**3 + i**3.
-13*i**3
Expand (29 - 22 + 30)*(-36 + 4*t + 36).
148*t
Expand (-3*o**2 + o**2 + o**2)*(1 - 1 + 1)*(0 - 10 + 4) - 2*o**2 + 2*o**2 + 5*o**2.
11*o**2
Expand (3*u**2 - 2*u**2 + 9*u**2)*(-60 - 12*u**2 + 60).
-120*u**4
Expand (-112*a - 277*a + 61*a - 147*a)*(a + 2*a - 4*a).
475*a**2
Expand -5 + 1 - 9 - 4*b + 11*b + (6*b - 5*b - 2*b)*(-7 - 7 + 1).
20*b - 13
Expand 694*a**2 - 11*a**4 + 18*a**5 - 694*a**2 + (-a**5 + 2*a**5 - 2*a**5)*(2 + 1 - 5).
20*a**5 - 11*a**4
Expand ((-3 - 1 + 2)*(y + y - 4*y) + 3*y + 0*y - 4*y + (3*y - 4*y - y + (-2*y + 0*y + 0*y)*(-3 + 2 + 0) + 2*y + 3 - 3)*(-5 + 5 + 5))*(-1 + 2*y + 1).
26*y**2
Expand (174*h + 74*h - 108*h)*(0 - 1 + 0)*(-4*h + 3*h + 2*h).
-140*h**2
Expand (-u + 0 + 0)*(2*u + 3 - 3)*(u + 5*u - 3*u)*(-1 - 2 + 0).
18*u**3
Expand 3*x**5 + 8*x**2 - 8*x**2 + (2 - 2 - x**5)*(-7 + 14 - 22) + (0 - 3*x + 0)*(3*x - 3*x + x**4)*(2 - 1 - 2).
21*x**5
Expand (-3 - 4 + 6)*(0*r + 3*r**2 + 0*r) + (r**2 + 0*r**2 + r**2)*(518 - 336 + 436).
1233*r**2
Expand 10246 - 10246 - 29*q + (-2*q - q + 5*q)*(2 - 3 - 1).
-33*q
Expand (6 - 4 + 17*y - 15*y)*(y - 2*y + 2*y) - 29 + 29 + 12*y**2.
14*y**2 + 2*y
Expand (5 - 2*b**2 + 4*b**2 + 0)*(-163 - 34*b + 163).
-68*b**3 - 170*b
Expand (-5 + 0 + 3)*(3*g**4 - 13*g**4 - g**4) - 2*g**4 + 0*g**4 + 2 - g**4.
19*g**4 + 2
Expand (-1 - 2 + 0)*(-13*u**2 + 6*u**2 - 7*u**2 + (3*u + 0*u - 2*u)*(2*u - 1 + 1) + 3*u**2 - 3*u**2 + u**2).
33*u**2
Expand 5*m**4 + 6*m - 6*m + (2*m**3 + 3*m**2 - 3*m**2)*(-3*m + 3*m + 2*m) + (-2*m + 0*m + 0*m)*(-3 + 6 + 2)*(29*m**3 + 6*m**3 - 18*m**3).
-161*m**4
Expand (11*k - 5*k + 33*k + (-1 + 0 + 3)*(-6*k + 3*k + 4*k))*(-5 + 2 + 2) - 3*k - k + 5*k + (3 + 1 - 2)*(-k - 3*k + 2*k) - 4 + 4 + k.
-43*k
Expand (-1 - 3 + 2)*(50*p**5 - 15*p**5 - 92*p**5).
114*p**5
Expand 2*m + 2*m - 2*m - m + 0 + 0 + (-37 + 85 - 39)*(0*m + 3*m - 2*m).
10*m
Expand (-2 + 5 - 4)*(2*a + a - a) + (-2 - 1 + 2)*(13 - 13 + 30*a) + 4 - 2*a - 4.
-34*a
Expand (-511 - 186*w**2 + 511)*(3*w - 3*w + w**2).
-186*w**4
Expand (109*k**3 - 109*k**3 - k**4)*((1 - 3 + 1)*(1 - 5 + 2) - 2 + 3 + 1 - 10 + 3 - 6).
9*k**4
Expand (-2*s + 1 - 1)*(6 - 6 - 15*s) + s**2 + 17*s**2 - 2*s**2 + 49*s**2.
95*s**2
Expand -5*d**5 - 11*d**5 - 5*d**5 - 4*d**5 + 0*d**5 + 3*d**5 + (2*d**2 - 2*d**2 + 3*d**4)*(-d + 3*d - d).
-19*d**5
Expand 0*s**2 - s**3 + 0*s**2 + (3*s**2 - 2*s**2 + 0*s**2)*(-73*s - 9*s + 23*s) + 2*s**3 + 0*s**3 - 3*s**3.
-61*s**3
Expand -c**3 + 2*c**5 + c**3 + (3*c + 5*c - 3*c)*(507*c**3 - 507*c**3 - 23*c**4).
-113*c**5
Expand (7 - 4 + 9)*(132*g**2 + 53*g**3 - 132*g**2).
636*g**3
Expand (0 - 2 + 35)*(-8*c + 8*c + 1 - c**3).
-33*c**3 + 33
Expand ((-1 - 5 + 4)*(0*t - 5*t - 8*t) + 3 - 2 - 4*t - 3*t)*(-4 + 2 + 1).
-19*t - 1
Expand 3*o**2 - o**2 - 3*o**2 + (2 - 3 + 0)*(-5*o**2 - o**2 + 5*o**2) + 0*o**2 + 2*o**2 - o**2 + (-o + 3*o - 4*o)*(13340 - 13340 - 17*o).
35*o**2
Expand (28 + 4*c - 28)*(6*c + 2*c + 4*c + (1 + 2 - 5)*(0*c + 3*c - 2*c) - 1 - c + 1).
36*c**2
Expand (1 - 1 - 3*a**2)*(6 - 2 + 1)*(19*a**3 - 47*a**3 + 369*a - 374*a + 2*a**2).
420*a**5 - 30*a**4 + 75*a**3
Expand (-13*o - 12*o + 3*o)*(6*o - o + 0*o).
-110*o**2
Expand (3 + 6 - 3)*(-25 + 35 + 43)*(-g**4 + 0*g**4 - 2*g**4).
-954*g**4
Expand -4 + s + 4 + (7 + 2 - 28)*(-5 + 5 + 2*s).
-37*s
Expand 136 - 2*b**4 + 8*b**4 - 17*b**3 - 135 + (-2*b - 2*b + 5*b)*(0*b**3 - b**3 + 0*b**3).
5*b**4 - 17*b**3 + 1
Expand 2*y**4 + 29*y**4 - 3*y**4 + (-3*y**4 + 2*y**4 - y**4)*(3 - 2 + 8).
10*y**4
Expand (-21*u - 5 + 5)*(-u + 0 + 0)*(-u - 2 + 2)*(0 - 7 + 3).
84*u**3
Expand (-7 - 3*f - 8 + 3)*(1 + 1 + 2).
-12*f - 48
Expand (9*w - w - 2*w)*(-2 + 2 - w**4) + 22*w**5 + 44*w**5 - 3*w**5.
57*w**5
Expand ((0 - 2 + 3)*(53 - 6 + 105) + 0 + 3 - 2)*(2*i + i - 4*i).
-153*i
Expand (z + 4*z**2 - z)*(3 - 4 + 0)*(4 - 3 + 8)*(-4*z - 2*z + 5*z).
36*z**3
Expand (3*l**4 - 4*l**4 + 2*l**4)*(1 - 1 - 2) + 3*l**4 + 2*l**2 - 2*l**2 + 20 - 20 - 27*l**4.
-26*l**4
Expand (-61*n + n + 21*n)*(-6*n**2 + n**2 + 4*n**2 - 4*n**2 + 2*n**2 + 4*n**2 + (2*n - 2*n + 2*n**2)*(-1 + 3 + 0) + 0*n**2 + n**2 - 4*n**2).
-78*n**3
Expand (35*r - 304 + 304)*(0 + 4 - 2).
70*r
Expand (0 + 2*n**4 + 0)*(-722 - 856 - 1211 + 624 - 372).
-5074*n**4
Expand (-5*k + 2*k + 2*k)*((-k - 5*k + 5*k)*(2*k - 3*k + 3*k) - 3*k**2 + 5*k**2 - k**2 + 0 - k**2 + 0 - 72*k**2 - 113*k**2 + 76*k**2).
111*k**3
Expand o**5 + 2*o**5 - 4*o**5 + (875 - 80*o - 875)*((2*o**2 + 3*o**2 - 4*o**2)*(-o**2 - 2*o + 2*o) - 2*o**4 + 0*o**2 + 0*o**2).
239*o**5
Expand (-11*i + 5*i + 7*i + 2)*(-23*i + 7*i + 6*i).
-10*i**2 - 20*i
Expand ((-8*a**4 + 2*a**4 + 3*a**4)*(0 + 0 - 2) + 36*a**4 + 10*a**4 + 29*a**4)*(-3 + 0 + 2 + (-1 - 1 + 0)*(0 - 1 + 2)).
-243*a**4
Expand (0*z**2 + 0*z**2 - 3*z**3)*(-z**2 + 5*z**2 - 9*z**2)*((1 + 0 - 3)*(0 - 1 + 2) + 1 - 3 + 4 + (-1 - 4 + 6)*(3 - 2 - 3) - 5 + 3 + 1 + 1 + 4 - 6).
-60*z**5
Expand (m**3 - 1 + 1)*(m - 2*m - m) - 2*m**4 - 3*m**4 + 3*m**4 + 0*m**2 + 51*m**4 - 6*m**2 - 52*m**4.
-5*m**4 - 6*m**2
Expand (-98*u + 98*u - 114*u**3)*(-2 + 1 - 1)*(2*u + 0*u - u).
228*u**4
Expand (0 - 4 + 1)*(-4*t + 58 - 58) + (-3*t + 2*t + 2*t)*(1 - 5 | {
"pile_set_name": "DM Mathematics"
} |
Suppose 0*q = -3*q + 15, 3*k + 2*q - 13 = t. Which is the second biggest value? (a) k (b) 0.2 (c) -0.4
b
Let g be (-2)/((-2 + -16)/(-2)). Which is the second smallest value? (a) -0.1 (b) 2/9 (c) g
a
Let i = 10.7 - -2.3. Let t = -12.8 + i. Let l = 2.5 + -2. What is the smallest value in t, 0.4, l?
t
Let v = 0.041 - 0.411. Let p = v + -0.03. Which is the second smallest value? (a) -3 (b) -1/3 (c) p
c
Let w be 24/(-24)*1/(-12). Which is the second biggest value? (a) 1/5 (b) 2 (c) w
a
Let h = 8 + -5. Let m = -2 + h. Let t = -6 - -11. Which is the second smallest value? (a) m (b) t (c) -3
a
Let k = -2.1 + 0.1. Let v be 2/(-15)*(4 + -1). What is the second biggest value in 0.3, k, v?
v
Let o be -1 + ((-12)/8)/(-1). Which is the smallest value? (a) o (b) -4 (c) 2
b
Let y = -991/8 - -124. Let u = -0.275 + -4.725. What is the smallest value in 5, y, u?
u
Let p = 202.1 - 202. Which is the smallest value? (a) 7 (b) 0 (c) p
b
Let u be ((-8)/20)/(16/(-10)). Suppose 7 = 5*q + 2. Suppose 2*i = q + 3. What is the second smallest value in u, i, -2/19?
u
Let q = -0.1 - 3.9. Let r = -1 - q. Let w(h) = -h**3 + 6*h**2 - h + 1. Let t be w(6). Which is the third biggest value? (a) r (b) 0.5 (c) t
c
Let v = -0.74 + 0.8. Let n = 132 + -135. What is the third biggest value in n, -5, v?
-5
Let n = 3 - 2.5. Let t = n + -0.3. Let o = -282 + 281.9. Which is the biggest value? (a) o (b) t (c) -5
b
Let g = -1.9 - -2. Let s be 1/2 + 99/(-18). What is the second smallest value in g, 2, s?
g
Let n = -45641/2178 - -43/242. Let u = n + 21. Which is the biggest value? (a) u (b) -4 (c) 3/2
c
Let g be ((-60)/27 - -2) + (-8)/(-18). What is the third smallest value in g, 20, -0.1?
20
Let f = 0.27 + -0.37. What is the biggest value in f, 0.1, -2/7?
0.1
Let y = 37/4 - 10. Let h = 0.06 + -0.56. Let f = 0.6 + h. What is the second smallest value in f, y, 4?
f
Let p = -2.2 + -6.8. Which is the third smallest value? (a) p (b) -2/13 (c) 5/2
c
Let i = -6.2 - -6. Let t = i - -0.7. Which is the biggest value? (a) t (b) 2/11 (c) 1
c
Let c be 51/119 + -1 + 0. What is the third smallest value in c, -2, -0.3?
-0.3
Let r = 5 - 8. Let z = -3 - -2.9. What is the second biggest value in 3, z, r?
z
Let t(g) = 2*g + 2. Let n be t(4). Suppose 2*q - 2*o = q - 10, -n = -5*q - 2*o. Which is the third smallest value? (a) q (b) 0.3 (c) -3
b
Let w = -30 + 30.5. Which is the second smallest value? (a) -0.4 (b) -3/2 (c) w
a
Let h be 2/(-7) - 12/(-14). Let w = 0.003 + 2.957. Let p = 0.04 + w. What is the second biggest value in p, 0, h?
h
Let w be 2 + -3 + (-2 - -2). Let u(g) = -2*g**3 - 2*g**2 + g - 1. Let j be u(-2). What is the smallest value in -2/9, w, j?
w
Suppose v = 2*v - 3. Let o be (-1)/(84/34) + (-2)/(-4). Which is the second smallest value? (a) v (b) o (c) 2/5
c
Let d be (-1)/1*0/(-4). Suppose d = -4*g + g + 12. Suppose 3*r + 8 = 11*r. What is the biggest value in r, g, 0.3?
g
Let v = -0.2 - 0. Let k = -12 - -8. Which is the third biggest value? (a) v (b) -2 (c) k
c
Suppose -26*o + 23*o = 0. Which is the fourth smallest value? (a) o (b) -2 (c) 1.3 (d) 0.5
c
Let k = -2 + 19. What is the biggest value in k, 6/7, 0?
k
Let f be (-7 + 1)*5/(-55). Which is the second smallest value? (a) 2 (b) f (c) 4
a
Suppose 2*s + d - 42 = -3*d, -d - 27 = -2*s. Let k = s - 15. Which is the third biggest value? (a) -0.4 (b) 4 (c) k
a
Suppose 0 = 4*r - f + 6, -2*f = -5*r - 4*f - 1. Which is the second biggest value? (a) -1/4 (b) -1/11 (c) r
a
Let m be 0/(0/1 - -1). Suppose m = -4*o - j + 19, -o - 5*j + 7 = -12. Let w = 28.2 + -28.4. What is the smallest value in w, -2/7, o?
-2/7
Let v(y) = -y - 4. Let p be v(0). Which is the third smallest value? (a) -2/3 (b) -0.5 (c) p
b
Let z = -63 + 253/4. Let a = z + 1/12. Let p be (-6)/4*8/66. What is the biggest value in p, -1, a?
a
Let p = 2.01 + -0.01. Let b = 6.9 + -7.2. What is the third biggest value in -5, b, p?
-5
Let y = 1.6 - 0.4. Let d = y + -0.2. Let s = -1.12 + 0.62. What is the smallest value in s, d, 0.5?
s
Let d = 8 - 8.1. Suppose 5 = -2*p - 5. What is the biggest value in d, -1, p?
d
Let f be 2 + 2 + 1 + -10. What is the second smallest value in 2, 1, f?
1
Let j = 515 - 515. Let t be ((-1)/(-14))/((-1)/(-4)). What is the third biggest value in j, t, -3?
-3
Let q = 7.079 + -0.079. What is the second biggest value in 1, -3, 2/7, q?
1
Let k = 0 - -1. Which is the second biggest value? (a) -2/9 (b) -3 (c) k
a
Suppose 3*j = 0, -4*h + 1 = -4*j - 31. Let b = 13 - h. What is the second smallest value in -2/11, b, -3?
-2/11
Let y = 0 - -5. Which is the third biggest value? (a) 0.2 (b) 1/7 (c) y
b
Let w be -3*4/(-72)*-4. Let v be 5/(-3)*8/5. Let s = 68/21 + v. What is the smallest value in w, s, 0?
w
Let j = 55 - 53. What is the second biggest value in -0.1, 1/3, -3, j?
1/3
Let u = -132.7 + 126. Let l = u - -7. Which is the third smallest value? (a) l (b) -1/4 (c) 4
c
Let p = 0.16 - 0.56. Which is the smallest value? (a) -2/15 (b) 3 (c) p (d) 0.3
c
Suppose 0 = 3*q + 2 + 1. Let k be q/4 + 9/4. Suppose k*d = -2*d - 12. What is the third biggest value in d, -5, -1/7?
-5
Suppose 4*s - 15 - 13 = 0. Let l = -10 + s. Which is the second smallest value? (a) l (b) 2/9 (c) 4
b
Let y = 64/99 - -2/99. Suppose -37 = 23*t - 152. Which is the third smallest value? (a) -1/4 (b) t (c) y
b
Let k be (-838)/(-7) + 4/(-14). Let i = k + -119. Let u be 57 + -60 + -1 + 9/2. Which is the second biggest value? (a) u (b) -0.5 (c) i
c
Let n = 3 - 3.5. Let k = n + 0.8. Let d = -2.2 + 2. What is the third smallest value in k, -4/7, d?
k
Let u = 54 - 44.22. Let d = 0.22 + u. Let n = 10.3 - d. Which is the second biggest value? (a) -3/5 (b) n (c) 1
b
Let g = 2 + -3/2. Let r = -184/9 - -20. Let p = 0.8 + -0.9. What is the third smallest value in r, g, p?
g
Let a = -44.1 - -44. What is the second biggest value in 3, -1, a?
a
Let y = 5.31 + -0.31. What is the second biggest value in -5, 4, y?
4
Let f(i) = -i + 17. Let l be f(15). Which is the second biggest value? (a) l (b) 3 (c) -5
a
Let r = 1.6 + -1.3. Let g = -4 - -3.7. Which is the third biggest value? (a) g (b) r (c) 2
a
Let t = -0.1 - -4.1. Let f = 6.04 - 0.04. Let n = f - t. Which is the third smallest value? (a) n (b) 0.4 (c) 1/6
a
Let d(l) = -2*l - 1. Let p be d(2). Let i = -3244/5 + 649. Which is the second biggest value? (a) p (b) -1/3 (c) i
b
Let g = -43 + 42.5. What is the second biggest value in g, 3, -1?
g
Let g(q) = 10*q**2 - 2*q - 3. Let j be g(3). Let p = j - 245/3. Which is the third smallest value? (a) 6 (b) p (c) -2
a
Let y be ((-5)/10)/(3/2). Let a be (-9)/(-8)*6/9. What is the third smallest value in 2/7, a, y?
a
Suppose 0 = -2*k - 19 - 1. Let q be ((-6)/10)/(2/k). Suppose -r + 10 = r. Which is the third smallest value? (a) q (b) -1 (c) r
c
Let x be (-2)/30 - (-2)/5. What is the third smallest value in -1, 2/9, x?
x
Let m = 14 + -14.01. Let v = 0.21 + m. Which is the second smallest value? (a) -5 (b) v (c) 3
b
Let x = 0 + -0.5. Let j = x + 0.52. Let h = 0.22 - j. Which is the second smallest value? (a) h (b) 3/4 (c) 5
b
Let y = -32 + 31.9. Let u = -14 - -14.5. Which is the smallest value? (a) -2/9 (b) y (c) u
a
Let r = -0.18 + 0.18. What is the third biggest value in r, 4, -3?
-3
Let l = 4.97 - 0.87. Let m = -0.1 + l. Which is the second biggest value? (a) m (b) 3 (c) -4
b
Let m = -1/95 + 4/19. Let v(f) = 4*f**3 + f**2 + f - 1. Let o be v(1). Let w be -8 - -7 - (-2 - 1). Which is the second biggest value? (a) m (b) w (c) o
b
Let l be (11/(-2) - 0) + -6 + 10. Which is the third biggest value? (a) 0 (b) l (c) -2
c
Let r = -239/4 + 60. Suppose 2*j = -2*j + 12. What is the second biggest value in r, j, -5?
r
Let b = -6 - -9. Let q be (-2)/6*(-1)/b. What is the third smallest value in -1/5, q, -5?
q
Let q = -9 + 9.2. Which is the second smallest value? (a) 0.3 (b) q (c) 0
b
Let l = -3.9 + 3.87. What is the second biggest value in 1, l, -0.4?
l
Let t(g) = 6*g + 13. Let m be t(-2). Which is the second smallest value? (a) m (b) 1.4 (c) 2/9
a
Let w(c) = -c**3 + 0*c**3 + 7*c + 0*c**3 - 7*c**2 + 7 - 18. Let q be w(-8). Let s = q + 43/15. What is the smallest value in 0, 4, s?
s
Let j(h) = h**3 - 7*h**2 - 2*h + 13. Let | {
"pile_set_name": "DM Mathematics"
} |
or of 10440 and 65235600?
360
Calculate the greatest common divisor of 182372 and 407162.
254
Calculate the highest common factor of 30744 and 8389208.
488
Calculate the greatest common factor of 537 and 219413546.
179
What is the highest common factor of 365 and 2008814?
73
What is the greatest common divisor of 238242472 and 8528?
4264
Calculate the greatest common factor of 121213 and 517.
47
Calculate the greatest common divisor of 5814 and 1843.
19
What is the greatest common factor of 504415 and 14615?
395
Calculate the greatest common factor of 51 and 3239843.
17
What is the highest common factor of 87977305 and 67353?
2041
Calculate the highest common factor of 12 and 37689816.
12
Calculate the highest common divisor of 8782812 and 8128.
508
What is the greatest common factor of 50545 and 2167?
11
Calculate the highest common divisor of 3529880 and 43975600.
19720
Calculate the highest common factor of 7 and 3344173.
7
What is the greatest common factor of 702 and 5012683?
13
Calculate the highest common factor of 2159 and 7132193.
127
Calculate the greatest common divisor of 264505740 and 60.
60
Calculate the highest common divisor of 99000 and 5477000.
1000
Calculate the greatest common divisor of 171488 and 768992.
32
Calculate the greatest common factor of 19961861 and 4991.
713
What is the highest common divisor of 69378 and 9046668?
186
What is the highest common factor of 11 and 306828467?
11
Calculate the greatest common divisor of 2373 and 733761.
21
What is the greatest common factor of 185967639 and 1287?
1287
Calculate the greatest common factor of 119739060 and 6804.
2268
What is the greatest common divisor of 37060 and 66580?
20
What is the greatest common factor of 2045849 and 6266?
3133
What is the highest common divisor of 19261953 and 513?
171
Calculate the highest common factor of 43033003 and 26.
13
What is the highest common divisor of 18 and 340476417?
9
Calculate the highest common divisor of 177550 and 4221.
67
What is the greatest common divisor of 893964 and 26112?
12
Calculate the greatest common divisor of 260217 and 34394.
29
Calculate the greatest common divisor of 115 and 77581990.
115
Calculate the highest common factor of 2295865 and 368420.
845
What is the highest common divisor of 519354432 and 64?
64
What is the greatest common divisor of 989 and 745407322?
989
Calculate the highest common divisor of 568 and 139200.
8
What is the highest common factor of 2250733 and 33821?
1091
What is the greatest common factor of 54575 and 48548150?
1475
Calculate the greatest common factor of 23529 and 79267.
31
Calculate the greatest common factor of 15181908 and 2235.
447
Calculate the highest common divisor of 46566 and 4469142.
1194
Calculate the highest common divisor of 179299 and 34.
17
What is the greatest common divisor of 18632770 and 1430?
130
What is the greatest common factor of 3041107260 and 60?
60
Calculate the highest common divisor of 5036 and 26436482.
2518
Calculate the greatest common divisor of 522 and 55591362.
18
Calculate the greatest common factor of 2047 and 34886843.
89
Calculate the highest common factor of 6678 and 144039.
21
What is the greatest common divisor of 885807 and 4355?
871
What is the greatest common divisor of 149518936 and 56?
56
Calculate the greatest common divisor of 17024 and 4039.
7
Calculate the greatest common divisor of 60 and 183621.
3
What is the greatest common divisor of 164459 and 4664?
53
What is the greatest common factor of 2017920 and 1504?
32
Calculate the highest common divisor of 34528 and 9256.
104
What is the highest common divisor of 48070 and 103873?
209
What is the highest common factor of 6908832 and 147?
21
What is the greatest common factor of 21461721 and 978?
489
What is the highest common divisor of 777 and 2185960?
259
What is the highest common divisor of 10445511 and 6085?
1217
Calculate the highest common divisor of 16098532 and 119316.
652
What is the greatest common factor of 22482471 and 186?
93
What is the greatest common factor of 7202 and 4197658?
554
What is the greatest common factor of 204951850 and 31?
31
Calculate the highest common divisor of 668935050 and 62.
62
Calculate the highest common factor of 23525308 and 41.
41
Calculate the highest common divisor of 13632 and 2735772.
852
Calculate the greatest common factor of 1436505 and 105.
105
Calculate the highest common divisor of 1 and 37026683.
1
Calculate the greatest common factor of 551880 and 89964.
756
Calculate the highest common divisor of 15159656 and 55400.
2216
Calculate the greatest common divisor of 13190 and 860.
10
Calculate the highest common divisor of 190535862 and 132.
66
Calculate the greatest common divisor of 3107489 and 1155.
77
Calculate the highest common factor of 68340 and 5806860.
1020
Calculate the highest common divisor of 11832488 and 125008.
4808
Calculate the greatest common factor of 493185 and 787479.
1617
What is the greatest common factor of 4216 and 42408?
248
Calculate the greatest common factor of 1324920 and 3077.
181
Calculate the highest common factor of 5351967 and 702.
27
What is the greatest common factor of 35 and 492235?
5
What is the highest common factor of 226344916 and 196?
196
Calculate the greatest common factor of 17 and 2995518626.
17
What is the greatest common factor of 41315667 and 9423?
1047
Calculate the highest common factor of 529347 and 16010046.
10803
Calculate the highest common factor of 10180 and 903590.
10
Calculate the greatest common divisor of 9667866 and 858.
78
What is the highest common factor of 14 and 146202448?
14
What is the greatest common divisor of 43092 and 13784904?
2268
What is the greatest common divisor of 9 and 11531739?
3
What is the highest common divisor of 347 and 11908346?
347
What is the greatest common factor of 27 and 372707?
1
Calculate the greatest common factor of 50547025 and 16425.
1825
What is the highest common divisor of 2925 and 9293115?
195
What is the highest common divisor of 1884267 and 315?
63
What is the greatest common factor of 20075506 and 8?
2
Calculate the highest common divisor of 875647553 and 11.
11
What is the highest common factor of 1260836 and 3127400?
3292
Calculate the greatest common factor of 26627852 and 4.
4
Calculate the greatest common divisor of 636755 and 2403891.
1127
Calculate the highest common factor of 39130860 and 112968.
6276
What is the highest common factor of 1311 and 9143443?
23
Calculate the highest common factor of 273 and 349839.
21
What is the highest common divisor of 29286670 and 1470?
70
Calculate the highest common factor of 5339 and 1712014.
19
What is the greatest common divisor of 2919 and 620067?
21
Calculate the highest common divisor of 10 and 13202635.
5
Calculate the highest common factor of 2514 and 9637.
419
Calculate the greatest common divisor of 1055691 and 8316.
63
Calculate the highest common factor of 231246 and 19654581.
1329
Calculate the greatest common factor of 2889096 and 28942.
58
What is the highest common divisor of 8721 and 176733?
9
What is the highest common factor of 690130 and 175?
35
What is the highest common divisor of 9288513 and 93717?
1053
What is the greatest common divisor of 38640 and 283603110?
4830
What is the highest common factor of 26172 and 215208?
36
Calculate the highest common divisor of 3609090 and 1890.
270
What is the greatest common divisor of 49162374 and 36?
18
What is the highest common divisor of 13756 and 76348?
4
Calculate the highest common divisor of 146599 and 7348866.
4729
What is the highest common factor of 17370318 and 210?
42
Calculate the greatest common factor of 7240469 and 94944.
989
Calculate the greatest common divisor of 6502 and 2324523518.
6502
Calculate the highest common factor of 59441 and 523.
1
What is the highest common divisor of 26323588 and 608?
76
Calculate the highest common factor of 49740216 and 2296.
328
Calculate the highest common factor of 146 and 750639874.
146
Calculate the greatest common divisor of 92346513 and 189.
21
Calculate the highest common factor of 7924 and 42159076.
1132
Calculate the highest common divisor of 1810402 and 3146.
242
Calculate the greatest common divisor of 602 and 72569896.
602
Calculate the greates | {
"pile_set_name": "DM Mathematics"
} |
d(v(y)).
36*y**2
Let o(i) = 0*i**2 - 7*i**2 - 6*i**2. Let k(z) = -z. Let j(s) = -8*s. Let q(c) = j(c) - 6*k(c). Calculate o(q(m)).
-52*m**2
Let t(s) = 5*s**2. Let j(m) = 2091*m - 1. What is j(t(z))?
10455*z**2 - 1
Let d(b) = -b. Let f(y) = 2224*y. Give f(d(n)).
-2224*n
Suppose 2*p - 7 + 3 = 0. Let u(d) = -d - p*d + 7*d - d. Let g(y) = 11*y + 8. Let t(l) = -4*l - 3. Let s(f) = -3*g(f) - 8*t(f). What is u(s(w))?
-3*w
Let f(i) = -5*i**2. Let v(z) = 1044 + 8*z - 1044. Determine v(f(l)).
-40*l**2
Let p(g) = -2*g. Suppose 0 = -y - 3*c + 8, 3*y - 2 = 2*c - 0. Let x(z) = -4*z**y + 4*z**2 + 2*z**2 - z**2. Give p(x(o)).
-2*o**2
Let w(a) be the third derivative of a**5/30 - a**2. Let y(k) = -3*k - 4. Let d(q) = -4*q - 5. Let s(r) = 4*d(r) - 5*y(r). Calculate w(s(o)).
2*o**2
Let q(a) = 2*a**2. Let b(m) be the second derivative of -m**3/6 + m. Let o be 51/15 + 6/(-15). Let d(r) = r. Let p(u) = o*d(u) + 2*b(u). What is q(p(h))?
2*h**2
Let p(j) = -2 + 3 - 1 - j**2. Let i(u) = -8*u**2. Give p(i(v)).
-64*v**4
Let o(r) = 21*r. Let f(q) = 357*q. What is f(o(x))?
7497*x
Let l(o) = -o**2 + 1. Let v(g) = -13*g**2 + 7. Let y(i) = -14*l(i) + 2*v(i). Let j(t) = -t. What is j(y(c))?
12*c**2
Let b(m) = -2*m**2. Suppose -l + 22 = l. Suppose l = 5*u + 1. Let a(k) = -3*k**u + 7*k**2 - 3*k**2. What is b(a(g))?
-2*g**4
Suppose 5*h = -0*h + 30. Let t(m) = -4*m + 7*m**2 + 4*m. Let i(n) = 15*n**2. Let x(g) = h*i(g) - 13*t(g). Let k(z) = -z**2. Give k(x(y)).
-y**4
Suppose 0 = -3*i + 5 + 1. Let b(q) = 0*q**i - 5*q**2 + 6*q**2. Let u(k) = -2*k**2. What is u(b(l))?
-2*l**4
Let l(m) = 3*m**2. Let n(s) = 5*s**2 + 3. Let g(j) = -6*j**2 - 4. Let z(p) = 3*g(p) + 4*n(p). Give z(l(c)).
18*c**4
Let o(n) be the first derivative of -n**2 + 9. Let g(r) = -10*r**2. Give o(g(m)).
20*m**2
Let h(t) = t**2. Let v(f) be the first derivative of 5*f**2 + 7. Determine v(h(i)).
10*i**2
Let y(a) = -4*a. Let m(n) = -4027*n. Calculate m(y(l)).
16108*l
Let b(s) = 5*s - 6*s + 0*s. Let t(l) be the third derivative of -l**7/2520 + l**4/24 + 2*l**2. Let f(i) be the second derivative of t(i). What is f(b(v))?
-v**2
Let v(k) = -2*k**2. Let s(w) be the third derivative of -w**5/15 + 23*w**2. What is v(s(m))?
-32*m**4
Let h(j) = -22*j. Let y(l) = -73*l**2. Calculate h(y(n)).
1606*n**2
Let j(m) = 2*m**2. Let s(a) = 7*a - 4. Suppose -2*x + 5 = -1. Let o = 1 + x. Let n(r) = 8*r - 5. Let d(c) = o*n(c) - 5*s(c). Determine j(d(g)).
18*g**2
Let k(j) = j. Let d(r) = -129*r**2 + 105. Determine k(d(n)).
-129*n**2 + 105
Let f(p) = -p**2 - 5*p - 2. Let b be f(-4). Let d(q) = 1 - 1 + b*q**2. Let a(o) be the third derivative of o**5/60 + o**2. What is a(d(t))?
4*t**4
Let a(v) = -v. Let h(u) be the first derivative of 28*u**3/3 - 22. Determine h(a(g)).
28*g**2
Let o(u) = 126*u**2. Let a(j) = 2*j**2. What is o(a(c))?
504*c**4
Let r(x) = -7*x**2. Let g(n) = 53*n. What is r(g(q))?
-19663*q**2
Let v(m) = 440*m**2. Let d(l) = -24*l. Determine v(d(u)).
253440*u**2
Let g = 0 - -2. Let o(z) = -z**2 - 2*z. Let t(v) = -2*v**2 - 5*v. Let k(w) = g*t(w) - 5*o(w). Let a(i) = -3*i. Determine a(k(n)).
-3*n**2
Let x(s) = 8*s. Let j(g) = 7*g + 57. What is j(x(h))?
56*h + 57
Let h(l) = -5257*l**2. Let u(o) = -o. Determine h(u(j)).
-5257*j**2
Let x(o) = -3*o**2 - 2*o**2 + 4*o + 0*o. Let m(y) = -11*y**2 + 9*y. Let v(g) = -4*m(g) + 9*x(g). Let b(i) = 3*i**2 - i**2 + 0*i**2. Calculate b(v(k)).
2*k**4
Let k(o) = -39*o**2. Let l(t) = 2*t**2. Determine l(k(i)).
3042*i**4
Let i(h) = h + 2. Let j be i(2). Let t(n) = 8*n + 9. Let u(s) = -s - 1. Let c(v) = j*t(v) + 36*u(v). Let x(b) = 2*b. Calculate c(x(l)).
-8*l
Let j(f) = -f**2. Let x(b) = -b - 2. Let y(d) = -2*d - 7. Let q(h) = 7*x(h) - 2*y(h). What is q(j(u))?
3*u**2
Let x(i) = -2*i. Let y(s) = s**2 + 3*s - 4. Let t be y(-7). Let q(u) = t*u - 6*u - 7*u. Calculate q(x(j)).
-22*j
Let j(c) = -c - 1. Let l be j(-4). Let g(b) = l - 3*b - 3. Let a(q) = -q**2 - 2*q**2 + 2*q**2. Give a(g(i)).
-9*i**2
Let q = 26 + 2. Let t(h) = h + q - 28. Let x(z) = -4*z**2. Calculate t(x(u)).
-4*u**2
Let v(t) = -t**2 - 5*t + 3. Suppose 0 = z - 3*f + 20, -5*f + 33 + 12 = -4*z. Let w be v(z). Let c(s) = -w*s + 0 + 0. Let m(b) = -b**2. Determine c(m(l)).
3*l**2
Let w(s) = 2*s**2. Let i(l) = -15*l - 14*l + 32*l. Calculate w(i(y)).
18*y**2
Let r(t) = 26*t + 3. Let y(n) = 3*n**2. Give r(y(o)).
78*o**2 + 3
Let u be (7 + -1)*4/(-12). Let z be u/(-10) + (-116)/(-20). Let q(r) = -6 + z + 6*r. Let k(w) = w**2. Calculate q(k(m)).
6*m**2
Let m(z) = 2 + 0 - 6 - 8*z + 4*z + z**2. Let w(t) = 6*t**2 - 21*t - 21. Let h(k) = -21*m(k) + 4*w(k). Let y(q) = 4 + q - 4. Calculate h(y(n)).
3*n**2
Let w(z) = -2*z. Let m(p) be the first derivative of -2 + 0*p + 3/2*p**2. What is m(w(x))?
-6*x
Let w(n) = -n - 13. Let d be w(-15). Let z(u) be the second derivative of 0*u**d + 0 - 2*u + 1/3*u**3. Let h(r) = -2*r. What is z(h(m))?
-4*m
Let m(h) be the first derivative of 1/2*h**2 - 2 + 0*h. Let r(p) = -9*p**2. Determine m(r(v)).
-9*v**2
Let s(a) be the second derivative of -a**3/6 + a. Let y(k) = -105*k**3 - k**2 + k + 1. Let w be y(-1). Let x(n) = 104 - 7*n - w. Determine x(s(f)).
7*f
Let b(d) = -d**2 + 1827*d - 2. Let u(t) = -t. Give b(u(k)).
-k**2 - 1827*k - 2
Let a(y) = 3*y. Let j(q) be the second derivative of q**3/6 - q**2/2 - q. Let m(f) = -8*f + 6. Let l = 105 - 99. Let u(d) = l*j(d) + m(d). Determine u(a(b)).
-6*b
Let t(n) be the second derivative of 0 + 0*n**2 + 3*n - 1/3*n**3. Let g(f) = 2*f**2 - 3*f**2 + 0*f**2. Give t(g(h)).
2*h**2
Let c(k) = 2*k**2. Let f(p) be the second derivative of p**4/6 - p**2 + 3*p. Let r(a) be the first derivative of f(a). Give c(r(b)).
32*b**2
Let w(m) = m**2. Let t(o) = -2*o**2 + 3*o**2 + 0*o**2. Give w(t(i)).
i**4
Let k(c) = -4*c**2 - 7. Let y(t) = -13*t. Give k(y(q)).
-676*q**2 - 7
Let x(t) = t. Let j(q) = 50*q. What is x(j(k))?
50*k
Let j(m) = -2*m**2. Let b(n) = -1229*n. Determine j(b(r)).
-3020882*r**2
Let a = 6 + -4. Let l(u) = u**2 + 2*u**2 - 6*u**a. Let i(x) = 6*x - 4. Let n(y) = -7*y + 5. Let k(v) = -5*i(v) - 4*n(v). Calculate l(k(d)).
-12*d**2
Let l(u) = u + 1. Let v(i) = 2*i + 1. Let f(b) = -8*l(b) + 5*v(b). Let t(w) = -w + 2. Let a(q) = 2*f(q) + 3*t(q). Let g(c) = 3*c**2. Calculate g(a(m)).
3*m**2
Let s(p) be the first derivative of -17*p**3/3 + 9. Let v(h) = -2*h**2. Calculate s(v(w)).
-68*w**4
Let h(a) = -3*a**2. Let r(x) be the first derivative of -x**5/60 - x**2 - 2. Let d(u) be the second derivative of r(u). Calculate d(h(s)).
-9*s**4
Let x(f) = -2*f + 16. Let j(y) = -4*y**2. Determine x(j(d)).
8*d**2 + 16
Let q(m) = m**2 - 112. Let f(s) = 12*s. Calculate f(q(l)).
12*l**2 - 1344
Let f(r) = 1518*r. Let g(v) = -v. Give g(f(x)).
-1518*x
Let a(c) = 3*c**2 + 2*c + 2. Let p(f) = -65*f**2 - 45*f - 45. Let w(s) = 45*a(s) + 2*p(s). Let m(z) = z**2. What is w(m(g))?
5*g**4
Let y(w) be the second derivative of -w**4/12 - w. Let q(i) be the third derivative of 0 - 1/30*i**5 - 6*i**2 + 0*i + 0*i**4 + 0*i**3. Calculate q(y(n)).
-2*n**4
Let y(c) = 2*c. Let j(l) = 1381*l. What is y(j(o))?
2762*o
Let q(a) = -2*a**2 - 3*a. Let h(c) = -25*c**2 - 40*c. Let x(p) = 3*h(p) - 40*q(p). Let k(d) = 2*d**2. Give x(k(i)).
20*i**4
Let c(z) = z**3 + 3*z**2 - 2. Let b be c(-2). Let n(s) = -5 + 4 + 1 + b*s. Let h(x) = x**2. Determine h(n(l)).
4*l**2
Let w(n) be the first derivative of 3*n**3 + 47. Let y(u) = 1 - 1 + 2*u. What is y(w(h))?
18*h**2
Let b(k) = -21*k. Let n(v) = -2*v + 30 - 16 - 14. Give n(b(u)).
42*u
Let u(m) = -4052 - 9*m + 4052. Let c(o) = 3*o**2 - 5*o - 5. Let w(r) = -r**2 + 2*r + 2. Let k(p) = 2*c(p) + 5*w(p). What is u(k(j))?
-9*j**2
Let s(g) = -9*g. Let b(n) be the third derivative of -n**6/180 + n**3 - 8*n**2. Let u(x) be the first derivative of b(x). Calculate u(s(y)).
-162*y**2
Let l(s) = -s**2 + 2*s**2 + 2*s**2 - 2*s**2. Let m(x) = 2*x**2 - 3*x - 3. Let v(w) = -3*w**2 + 4*w + 4. Let g(r) = 4*m(r) + 3*v(r). Give l(g(q)).
q**4
Let o(g) be the second derivative of -1/4*g**4 + 0*g**3 + 2*g + 0 + 0*g**2. Let j(x) = 2*x. Give o(j(b)).
-12*b**2
Let k(z) = 7*z. Let u(x) = 476*x**2. Determine u(k(d)).
23324*d**2
Let x(q) = -q. Let p(a) be the first derivative of 61*a**2/2 - 1. Calculate p(x(m)).
-61*m
Let f = 99 + -68. Let z(y) = -2*y - f + 31. Let x(p) = -4*p**2 - 4*p. Let g(o) = o. Let q(d) = -4*g(d) - x(d). Giv | {
"pile_set_name": "DM Mathematics"
} |
ulate the highest common divisor of 38 and h.
38
Let j(h) = h**2 + 24*h + 452. Let v be j(-26). Calculate the highest common factor of v and 2583.
63
Let w be 7/(1144/(-80) + 15). What is the greatest common divisor of 4050 and w?
10
Suppose -3*d = -5*q - 4*d + 14, 0 = -2*q - 3*d + 16. Suppose 87 = q*s - 5*h, -4*h - 48 = -s - 0*h. Calculate the highest common factor of s and 90.
18
Suppose -39*f - 23*f + 5520 = -16*f. Let k be 678/15 - (-2)/(-10). What is the highest common divisor of k and f?
15
Let s(f) = 6*f**2 + 134*f + 1224. Let r be s(-9). What is the highest common factor of r and 360?
72
Suppose 20*t = 53*t - 46*t + 35438. Calculate the highest common divisor of 116 and t.
58
Let h(p) = 195*p + 1907. Let i be h(6). Calculate the highest common factor of i and 34.
17
Let n = 62 + -40. Suppose q - 64 - n = 0. Let d be q + -3 + 1 + 1. What is the highest common factor of d and 17?
17
Suppose -23*y + 58 = 12. Suppose -y*b + 10 = 0, -4 = -2*i + 3*b + 121. What is the highest common factor of i and 15?
5
Let u = -21 + 24. Suppose -244 = 10*n - 64. Let s = 21 + n. Calculate the greatest common factor of u and s.
3
Let h(t) = -8295*t + 82964. Let u be h(10). Let n = -217 - -315. Suppose 3*r = r + n. Calculate the greatest common divisor of u and r.
7
Let v(w) = 8*w + 109. Let n be v(-12). Let r(i) = -7*i + 182. Let a be r(n). Suppose 3*h + h = 104. Calculate the highest common divisor of h and a.
13
Suppose 0 = 39*l - 252*l + 8414991. Calculate the greatest common divisor of 39 and l.
39
Let a be 4/(-52) + (-3 - (-26420)/52). What is the greatest common factor of 7979 and a?
101
Suppose 174519 = -45*v + 174744. Let b be -1 - -68 - (-2)/(-1). Calculate the highest common factor of b and v.
5
Let v = 1769 + -1689. Calculate the highest common factor of v and 20.
20
Suppose 2*y - p - 545 = 0, -4*y + p + 863 = -230. Suppose -2*l + y = 3*h, 2*l - 23 + 117 = h. What is the greatest common factor of h and 69?
23
Let q be ((-10)/(-6))/((-115)/(-414)). Let c be ((10 - q) + 18)*(-1 - -7). Calculate the highest common factor of 12 and c.
12
Suppose 149*l - 17723 - 23308 - 33469 = 0. Calculate the greatest common factor of l and 4.
4
Let o be 1458/(-8)*372/(-279). Suppose 4*d = -f + 5 + 110, 2*d = -3*f + 395. What is the highest common factor of o and f?
27
Suppose 12*z - 4 = -88. Let w be 2 + 2 - z - 3/(-1). What is the greatest common divisor of 266 and w?
14
Let d(y) = y**2 + 19*y - 1867. Let t be d(-57). What is the greatest common factor of t and 975?
13
Let l be (243/(-108))/(5/(-300)). What is the greatest common divisor of l and 20?
5
Let z = -1229 + 2858. Calculate the greatest common divisor of 18 and z.
9
Suppose -1560*d + 1576*d - 199392 = 0. What is the highest common factor of d and 12?
6
Suppose -3*u + y + 65 = 2*u, 0 = -y. Let h = -111 + 119. Suppose 14*x + h = 22*x. What is the greatest common divisor of x and u?
1
Let k be ((-148)/(-3))/((-348)/(-6003)). What is the highest common factor of k and 92?
23
Let n be 746/22 - (-5)/55. Calculate the highest common divisor of 2074 and n.
34
Let b = -387 + 931. Let t = b + -403. Calculate the greatest common factor of t and 47.
47
Let x = -134 - -604. Let n be x/3 + (-6)/9. Suppose 52*g - 17*g - 420 = 0. What is the highest common factor of n and g?
12
Suppose 3*g - g - 307 = -3*s, -g - 3*s = -155. Let t be -9 - (9 - (-1 + 8))*-14. Calculate the greatest common divisor of g and t.
19
Let g = 5986 - 5812. Calculate the greatest common factor of g and 31494.
174
Let d be (4 - (-2 + -9 + 3 + 4)) + 4. What is the greatest common divisor of 11436 and d?
12
Let h be (2/3)/((-8)/492 + 0). Let u = -36 - h. Let n be 220/u + 4*-1. Calculate the greatest common factor of 8 and n.
8
Suppose 20*z + 924 = 95*z + 9*z. Let j be 6/4*2/1. Calculate the greatest common factor of j and z.
1
Let h be 0/((-5)/(-5)) + 1. Let a be (-322)/(-84) + h/(6/1). Suppose -a*d = 6 - 66. Calculate the highest common divisor of d and 3.
3
Suppose 0 = -19*l + 928 + 338 + 653. Calculate the highest common factor of 4343 and l.
101
Let j(y) = -5*y**2 + 8*y + 4. Let q be j(2). Let x be (1141 - q) + 14/(-7). Calculate the greatest common factor of 17 and x.
17
Let s be 58*((-35)/(-10) - 3). Let i be 0*2/(-4)*2. Suppose 5*l - 4*t + s - 381 = i, 150 = 2*l + 3*t. What is the highest common factor of l and 8?
8
Suppose 3*b = -t + 14, 2*b - b = -2. Let c = 37 - t. Let d be 50/3 - (-1)/3. Calculate the highest common divisor of c and d.
17
Let t(g) = -47*g - 8. Let s be t(-4). Let v = 310 - s. What is the highest common divisor of v and 52?
26
Let c = 135 + -129. Suppose -5*p + m + 38 = 8, -m = -p + c. What is the greatest common divisor of 258 and p?
6
Suppose 6*v + 1540 = 10*v. Suppose 5*k = 3*p + v, 2*k - 4*p - 135 = p. Calculate the highest common divisor of 48 and k.
16
Let u be (-1)/(-2)*((-224)/(-7) - 30) - -3. Suppose 243 = 3*t - 189. Calculate the greatest common factor of t and u.
4
Let h(g) = 427*g - 1261. Let p be h(3). What is the greatest common divisor of p and 34660?
20
Let d be (0 - 4/6)*399/(-38). Suppose -9*j = d*j - 48. Calculate the greatest common factor of 2 and j.
1
Suppose 3*h - 30 = -5*v + 136, -2*v - h + 67 = 0. Let u be (192/144)/(2/420). What is the greatest common factor of v and u?
35
Suppose 2*f + 5*b = 1134, -7*f + 2*b = -2*f - 2835. Let i = f - 227. Calculate the greatest common divisor of i and 20.
20
Let k be 819/6 + (-21)/14. Let x = k - 3. Suppose 4*m - x = n + n, 4*n = -4*m + 120. What is the highest common factor of m and 16?
16
Let n be 2*5/15 - 16/(-3). Suppose -n*w + 4*w = 0. Let l be 77/22*(w - -30). What is the greatest common divisor of 21 and l?
21
Suppose 20*t + 322423 = 530131 + 414952. What is the highest common factor of t and 191?
191
Let r(x) = 7*x**2 - 2*x - x**3 + 6*x**2 - 14*x**2 + 6. Suppose -l + 6*l = -2*l. Let b be r(l). Calculate the greatest common divisor of 9 and b.
3
Let f(j) = j - 1. Let c be f(2). Let n(o) = 7*o - 3*o - 2*o + 3 - 5*o + 32*o**2. Let v be n(c). What is the highest common divisor of v and 8?
8
Let y be -3*10*(-6)/10. Let c be (y + ((-4)/(-4))/(-1))*1. Suppose -m - 34 = -119. What is the greatest common factor of m and c?
17
Let q = 62 + -59. Suppose -g = f + 1, g = 2*f - q*g + 14. Let w be 49 - f/15*0. What is the highest common divisor of w and 147?
49
Suppose -1806 = -8*s - 686. Let k = -129 + s. What is the greatest common divisor of 275 and k?
11
Let p(l) = 38*l + 2. Let u be p(6). Suppose 4*v + 2*b - 128 = 0, v - 43*b = -39*b + 14. What is the highest common divisor of u and v?
10
Suppose 5*k = -2*s + 340, 0*s - 2*s = 2*k - 142. Suppose k = 5*i - 34. Let d(w) = 5*w**2. Let a be d(-1). What is the greatest common factor of a and i?
5
Let w = 28225 + -28207. What is the greatest common factor of w and 158?
2
Let i = 17583 + -15027. What is the greatest common factor of 994 and i?
142
Suppose 0 = 4*z - 3*g + 267, -5*g - 25 = -10. Let t = -65 - z. Suppose 114 - 18 = t*l. Calculate the greatest common factor of 24 and l.
24
Let s(x) = -x**3 + 6*x**2 + 15*x + 24. Let h be s(10). Let j = -213 - h. What is the highest common divisor of 143 and j?
13
Let q be 1 + 33*(-20)/(-12). Suppose -103*v = -75*v - 896. What is the highest common factor of v and q?
8
Let l = -168 + 197. Suppose -l + 95 = 2*b. Calculate the highest common factor of 44 and b.
11
Suppose 5*i - 5 = -5*d + 55, -i - 4*d + 21 = 0. Suppose -41536 - 12964 = 21*c - 239*c. Suppose -c + 7 = -i*m. Calculate the highest common divisor of m and 3.
3
Let m(b) = 12*b**2 - 4*b - 4. Let o be m(-3). Suppose -6*q - 4*r + 278 = -4*q, 2*q - 3*r - 299 = 0. What is the greatest common divisor of q and o?
29
Suppose 15*c - 559 + 154 = 0. Let a(n) = 65*n - 29. Let w be a(10). Calculate the greatest common factor of w and c.
27
Let n be (((-27216)/(-140))/1)/((-8)/(-30)). Calculate the greatest common factor of n and 3.
3
Suppose -4*g = -3*g + 4*p + 1, 5*p = 5. Let u be (g - -9) + -6 + 81. What is the highest common divisor of 158 and u?
79
Let w be ((-40)/(-4))/((-4 - 0)/(-2)). Suppose -2*r + w*p + 100 = p, 0 = -3*p + 9. Calculate the highest common factor of 21 and r.
7
Let a = -12083 + 12084. Suppose 5*o - 38 = 17. Calculate the greatest common factor of o and a.
1
Let t(c) = -16*c + 295. Let x be t(16). Let f(q) = | {
"pile_set_name": "DM Mathematics"
} |
n is positive.
n**(5279/91)
Simplify (b**(1/67)/b*b*b*b*b**(-1/46)*b/b**(1/29)*b*b**(7/4)/b*b)**(-22) assuming b is positive.
b**(-11225115/89378)
Simplify (g**(2/29)*(g/(g**(4/15)/g))/g*(g*g*g**15*g)/(g*g*g/(g/g**5)*g))**(6/19) assuming g is positive.
g**(9398/2755)
Simplify (m/(m**(-1/3)/m))**48*m/m**(-6/11)*m*m*m**(-1/3)*m/m**(-2/3)*m/m**(-1/17)*(m/(m*m**(-7)))/(m/(m*(m*m*m/m**(-2))/m)) assuming m is positive.
m**(72334/561)
Simplify (v/v**1)**(-45)/(v/v**(2/5))**27*(v**(-5)*v**0/v)/((v**0/v)/v*v/(v/((v*(v*v**(-2))/v)/v))*v) assuming v is positive.
v**(-96/5)
Simplify ((o*o*o**(-7)*o*o*o**(3/2))/(o**(-1/3)*o**7))/(o**(-2/5)*o*o/(o/o**(-4))*o*(o/(o/o**(-2)))/(o**(-5)*o)) assuming o is positive.
o**(-233/30)
Simplify (z**(2/7))**(3/4)/(z*z**(2/7)*z)**(1/51)*(z**0/z)**(-4/5)/((z**(-1/12)/z)/(((z*z/((z*z**(1/5)*z)/z*z*z))/z*z)/z)) assuming z is positive.
z**(-1051/7140)
Simplify ((((f**(-5/2)/f)/(f*f**4*f))/(f/(f*f**1))**(-13))**(2/5))**44 assuming f is positive.
f**(-396)
Simplify ((k*(k**(-1/3)*k)/k*k)**(3/4)/(k**(-1/2)/k**(-3)))/((k**2*k*k**(-5))/(k**(-2/5))**(-27)) assuming k is positive.
k**(231/20)
Simplify (f**(-1/7)/(f*f/f**(-3/4)))**(-21)/((f/f**(-5))/f*f**6)**25 assuming f is positive.
f**(-857/4)
Simplify (t*(t*t**(-2/3)/t*t)/t*(t*t**(-2))/t*t**(1/12)/t**(-8))/((t**(2/9)/t**(1/2))/(t**(-2/5))**(-1/69)) assuming t is positive.
t**(27739/4140)
Simplify ((b/b**0)**(-6/7))**(-46)/((b**(-1/2)/b)/(b**0*b)*(b**(3/4)/b)/(b/((b/(b*b/(b/b**(-2))))/b))) assuming b is positive.
b**(1181/28)
Simplify (((z/(z*z**8*z*z))/z)/(z/(z**2/z))*(z**(-4))**(5/7))**5 assuming z is positive.
z**(-485/7)
Simplify ((n/n**(-5/6))/n*n*n**(-1/10))**32*(n**(-6)*n/(n**5/n))/(n**(-1/4)*n)**(10/3) assuming n is positive.
n**(1319/30)
Simplify ((d**(-3/5)*d**(2/5))/((d/(d/(d/((d**4*d)/d))))/d**(8/7)))/(d**(-2/7)*d*d**(-1/20))**(1/15) assuming d is positive.
d**(2729/700)
Simplify ((f**(-4/9)*f**(1/9))/(f**0*(f**(-3)/f)/f))**20 assuming f is positive.
f**(280/3)
Simplify (p**(-3)/(p*(p*p/p**(2/7))/p))/(p**0*p/p**(-1/4))*(p**1)**(-1/50)*(p/(p/((p*p*p**(1/3))/p)))**2 assuming p is positive.
p**(-6967/2100)
Simplify ((y**5)**(-30))**(-3/5)/((y**9*y**(-5/4))/((y*y**(-2/11))/y*y**(-5/3)*y)) assuming y is positive.
y**(10745/132)
Simplify (d**5/(d/(d/(d*d**(-8))))*d**(1/12)*d*d*d/(d*d**(-1/13)/d*d*d)*d*d*d*d)**(-39) assuming d is positive.
d**(-2677/4)
Simplify (((y**(-2/3))**(-7))**21)**37 assuming y is positive.
y**3626
Simplify (o/o**(-3)*o/(((o**(2/19)*o)/o)/o*o))**(15/7)*o**1/o**(7/5)*(o/(o*o**(1/3)))**(-2/17) assuming o is positive.
o**(343489/33915)
Simplify ((a*a**1)**(-7/8)/(((a*(a/a**(2/3))/a*a)/a*a)/a)**(3/2))/(a**(4/5)/a**(2/19)*(a**(-2/3))**(-25)) assuming a is positive.
a**(-22357/1140)
Simplify ((l*(l/(l/(l/l**(3/4)*l))*l)/l*l*l**19)/((l/(l*l/((l*l*l**(-1/6))/l))*l)/(l*l**(6/11)/l)))**(-45) assuming l is positive.
l**(-43485/44)
Simplify (w**9/w**8*(w**(-2/11))**(-29/4))**(-49) assuming w is positive.
w**(-2499/22)
Simplify (d**14/(d**(-1/10)/d)*((d*d*d/(d**(-7)/d))/d)**(1/8))**(6/11) assuming d is positive.
d**(981/110)
Simplify (((r*r/(r/((r*(r/(r*r/((r/r**(4/3))/r)))/r)/r)))/r)/r*r/r**(-1/13))**(7/3)*r**5*r**6*(r/(r/r**1))/((r/r**(-2))/r) assuming r is positive.
r**(281/117)
Simplify (((n**(-7)*n)/n**(3/5))/(n*n**(-6))**(-7))**(-4) assuming n is positive.
n**(832/5)
Simplify ((g/g**(2/23)*g*g**(-3)*g)/(g*g**5/g*g**(-6/7)))**(2/63) assuming g is positive.
g**(-454/3381)
Simplify (i**21/i*i*i*i*(i/i**16*i*i)/i*i*(i**(2/11))**(2/43))**(9/5) assuming i is positive.
i**(42606/2365)
Simplify (l*l**(2/9)/l*l)**(-2/45)*l**0*l*l*l/(l/(((l/l**(-1/7))/l)/l))*l*(l*l**(2/5)*l**(-5))/(l**1*l**(1/10)) assuming l is positive.
l**(-14807/5670)
Simplify ((g**(3/23)*g**(2/21))**(1/28))**(-33) assuming g is positive.
g**(-1199/4508)
Simplify ((j**(1/4))**(8/7))**(-5/8)*(j/(j*j/j**(-2/5)))**(-23)/((j**(2/7)*j)/((j**1/j*j*j)/j)) assuming j is positive.
j**(4443/140)
Simplify (y**21/(y/(y/y**(-6/11)))*y**5*y**(-1/19)/y)**4 assuming y is positive.
y**(21312/209)
Simplify ((y**4*y)**(1/12)*y/(y*y/(y**(-11)/y))*(y/(y/(y**(-1/14)*y)))/y)**(18/13) assuming y is positive.
y**(-3189/182)
Simplify (((c**6/c*c)/c*c**(-1/4))/((c/(c**0*c))/(c*c/c**(-2))))/(c**5/(c/c**(-3)))**(11/4) assuming c is positive.
c**6
Simplify (z**0)**23*z**(-1/4)/z**(-7)*((z**(2/5)*z*z*z)**(-13))**(6/11) assuming z is positive.
z**(-3819/220)
Simplify ((u**(2/7)*u)/u**(-6))/(u**3*u**(-3/2)/u*u)*u**3/u*u**(-2)*(u**0/u)**(-10) assuming u is positive.
u**(221/14)
Simplify (g**(-10/3)/g**(1/4))/(g**32/(g*g**(4/15))) assuming g is positive.
g**(-2059/60)
Simplify (w*(w*w/w**0)/w)**(1/28)/(w**(-9/2)/((w*w*(w/(w*w**(-30/11)*w))/w*w)/w)) assuming w is positive.
w**(562/77)
Simplify (a**0)**(2/25)*(a*a/(a**(-2/5)*a))**(3/16)*a**(4/3)/(a/(a/((a**2/a)/a)))*(a*a**(1/9))/(a/(a**(-2/7)/a)*a) assuming a is positive.
a**(-2917/5040)
Simplify (((o**14*o*o*o*o**(-9/7))**(-22/3))**(-4))**(1/69) assuming o is positive.
o**(9680/1449)
Simplify ((l**3/(l*l**(1/3)*l))/(l**(-5)*l**(-2/5)))/((l*l*l*l*l/(l**2/l)*l*l)**(-7/9)/((l*l/(l*l*l**(-7)/l))/l*l**(-2))) assuming l is positive.
l**(236/15)
Simplify ((d**(5/6)/((d/(d**(-13)*d))/d))/((((d**15*d)/d)/d*d)/(d/(d**(-13/3)/d))))**(-1/17) assuming d is positive.
d**(7/6)
Simplify ((n**1/n)**(-30))**(-16)/(((n/(n**(1/2)*n))/n**(3/8))/((n*n**2)/(n*(n*n**(-2/7))/n))) assuming n is positive.
n**(177/56)
Simplify (l**(2/5)/(l/(l*l**(-3)*l))*(l**(-1))**(-44))/((((l*l/((l**(2/7)*l)/l))/l)/l*l)**(-2/11)*((l**(-1)/l)/l)**(-9/7)) assuming l is positive.
l**(2127/55)
Simplify m/(m**2*m*m*m)*m**(-1/4)*m**6*m/(m*m/(m*m**3*m))*m*m*((m**(-1))**(-15/8))**(2/159) assuming m is positive.
m**(412/53)
Simplify (r**27/r**(-1/8))/((r/((r/((r/(r**(-2/19)*r*r))/r*r))/r))/(r*(r*r**21)/r)) assuming r is positive.
r**(7451/152)
Simplify ((f**21/f)/f)/f**(1/3)*f**(-17)/(f**(-11/3)/f) assuming f is positive.
f**(19/3)
Simplify (b*(b*b**(-5))/b)/(b*b**(-5))*b**(-6/5)*b**(1/5)*b**(-4)/(b*b/(b**0*b))*(b*((b/(b/(b**(-2/9)/b))*b)/b)/b)/b**(-2/3) assuming b is positive.
b**(-59/9)
Simplify (((g*(g*g**(1/5)*g*g)/g)/g**(-19))/(g**(2/45)*g)**(10/7))**(12/5) assuming g is positive.
g**(26092/525)
Simplify ((a*(a/((a/(a*a/(a**(2/17)*a)))/a))/a)/a**(-3)*((a**(-2/5)*a)/a)**48)/(a**(-4/7)/a*a**(-5)*(a**1)**41) assuming a is positive.
a**(-29004/595)
Simplify (a*a**(-2/23)*a*a**(-2/29)*a*((a/a**(1/5))/a)/(a/(a**(-14)*a)))**26 assuming a is positive.
a**(-984672/3335)
Simplify (m**(-2/13)*m**(2/3)/m*m**(-5/2)*((m/((m*m*m/m**(-1/7)*m*m)/m))/m)/m*m)/((m**0)**(-10/3)*m*m**(2/7)*m**4) assuming m is positive.
m**(-6779/546)
Simplify ((z*z/z**16*z**(-18))/((z*z*z**(-2/101))/z**(-3/22)))**36 assuming z is positive.
z**(-1364526/1111)
Simplify ((g*(g/(g**(-1)/g*g)*g)/g*g)/g)**(3/4)/(g/(g/(g*g**2/g*g)))**(-7/2)*((g*g*g/(g/(g**(-1/3)/g)))**(-5))**(-27) assuming g is positive.
g**(411/4)
Simplify (((x**(6/7)*x**9)/((x/(x**(-9)*x))/(x*x**7)))**(10/7))**(-4/11) assuming x is positive.
x**(-2480/539)
Simplify (t/((t**8*t*t)/t))**(-23)*t/(t**(2/73)*t)*t*t/(t**(2/21)*t) assuming t is positive.
t**(283417/1533)
Simplify (l*l/(l*(((l/(l*l**(3/2))*l)/l*l)/l)/l*l)*l*l**(-7)*(l/l**2*l)**(-8/3))/(l*l**(-2/3)*l*l/l**1*(l/l**(-1/4))**19) assuming l is positive.
l**(-343/12)
Simplify (((z**8/z*z)/(z/(z*z/z**10*z)))/(z/(z*z**(-3)))**(-2/187))**(-23) assuming z is positive.
z**(-138/187)
Simplify (a*a**(1/3))**24/((a**(-8)/a)/(a/(a/(a/(a/a**(4/3)))*a)*a))*(a**(-1))**16/(((a/a**(-1/2))/a)/(a**2/a)) assuming a is positive.
a**(161/6)
Simplify (x/(x**3/x)*x**(-1)*x)**(-3/32)/(x*x/((((((x/x**(-5))/x*x)/x)/x)/x)/x)*(x**5/x*x)/x)**(-50) assuming x is positive.
x**(6403/32)
Simplify ((a*a**12)/a**13)**(-20)/((a*a**(3/5)*a*a**(-2/19))/((a*a**6)/a*a**(-3/11)*a*a)) assuming a is positive.
a**(5468/1045)
Simplify ((c**(11/3)/(c**(-1/12)*c))/(c*c/c**(4/3)*c*c)**22)**(-42) assuming c is positive.
c**(4697/2)
Simplify ((n/n**(2/21))/(n*n/((n**8*n)/n)*n*n*n))**(3/2)*n**2/((n**(-5/2)/n)/n)*n**(-7)/n*n**(-8) assuming n is positive.
n**(-51/14)
Simplify ((r*r**(1/3))/r**(5/3)*(r**(1/5)/r)**22)/(((r*r**(6/7))/(((r/r**(-1/5))/r)/r))/((r*r**(1/8)*r*r)/r**(-1/3))) assuming r is positive.
r**(-4797/280)
Simplify ((((v/v**17)/v)/(v*v*(v*v*v**3)/v*v*v*v))/((v/((v/(v/((v*(v**7*v)/v)/v | {
"pile_set_name": "DM Mathematics"
} |
822000000
What is -209.0041 rounded to the nearest integer?
-209
Round -0.0017496848 to 5 decimal places.
-0.00175
What is 1544.5484 rounded to the nearest 100?
1500
Round 0.01249587 to three decimal places.
0.012
Round -9447110 to the nearest 1000000.
-9000000
What is 10.43953 rounded to 1 decimal place?
10.4
Round -6801002000 to the nearest 1000000.
-6801000000
Round 26.99683 to 1 decimal place.
27
Round -53.9488 to one dp.
-53.9
Round 0.000084722541 to 6 dps.
0.000085
Round 15.4543 to 1 dp.
15.5
What is 57523140 rounded to the nearest one hundred thousand?
57500000
Round -0.000001615323 to seven decimal places.
-0.0000016
What is -70.7303 rounded to zero dps?
-71
Round 1036246.5 to the nearest 1000000.
1000000
What is -0.010998437 rounded to 4 decimal places?
-0.011
Round 99475.65 to the nearest ten.
99480
Round 30401.953 to the nearest one hundred.
30400
What is 1159.57 rounded to the nearest 100?
1200
Round 182117.68 to the nearest 100.
182100
What is -157629.66 rounded to the nearest 10000?
-160000
Round -90695300 to the nearest 100000.
-90700000
What is 54588800 rounded to the nearest 1000000?
55000000
Round -11804.577 to the nearest one thousand.
-12000
Round 0.002641611 to 4 dps.
0.0026
What is 79703500 rounded to the nearest one hundred thousand?
79700000
Round -519.1748 to 1 decimal place.
-519.2
What is 0.0002009032 rounded to 7 dps?
0.0002009
Round -34.38978 to 1 dp.
-34.4
Round 32179100 to the nearest 1000000.
32000000
Round 0.00492573 to five decimal places.
0.00493
Round -271861500 to the nearest 100000.
-271900000
Round 0.00041757 to 4 dps.
0.0004
Round 2383287 to the nearest one hundred thousand.
2400000
What is -62166.1 rounded to the nearest one hundred?
-62200
What is -92169630 rounded to the nearest 10000?
-92170000
What is -0.0144639 rounded to four dps?
-0.0145
Round 0.00000848835 to 7 decimal places.
0.0000085
Round -0.03961007 to 2 decimal places.
-0.04
What is -4111.56 rounded to the nearest one thousand?
-4000
Round 447969.9 to the nearest 100000.
400000
What is -1052092000 rounded to the nearest 1000000?
-1052000000
What is -114550 rounded to the nearest 10000?
-110000
What is 5.55385 rounded to two decimal places?
5.55
Round 315413 to the nearest 1000.
315000
Round -4900810 to the nearest one hundred thousand.
-4900000
What is -377.6509 rounded to the nearest one hundred?
-400
What is 0.00021263 rounded to 6 dps?
0.000213
What is -15.6317 rounded to zero decimal places?
-16
What is 16206.532 rounded to the nearest ten?
16210
What is -26.22114 rounded to one decimal place?
-26.2
Round -0.03480684 to 3 decimal places.
-0.035
Round 0.04561786 to three decimal places.
0.046
What is -9528.21 rounded to the nearest ten?
-9530
What is 2.1241263 rounded to 1 decimal place?
2.1
Round -1.778276 to three dps.
-1.778
What is -673.9322 rounded to the nearest 100?
-700
What is -0.000000463674 rounded to seven decimal places?
-0.0000005
Round 54.6153 to the nearest 100.
100
Round -59.41142 to the nearest integer.
-59
What is 2674.019 rounded to the nearest integer?
2674
What is 1207.422 rounded to the nearest ten?
1210
What is 0.001337785 rounded to 6 dps?
0.001338
Round -0.03885015 to four dps.
-0.0389
What is -0.000000145881 rounded to seven decimal places?
-0.0000001
Round 9.2811 to zero dps.
9
Round 0.00000317432 to 5 dps.
0
What is 7.422 rounded to the nearest integer?
7
What is 0.0024688843 rounded to six dps?
0.002469
Round 3089260 to the nearest 100000.
3100000
What is -0.000125691 rounded to six dps?
-0.000126
What is -8.1328 rounded to 2 dps?
-8.13
What is -1322448000 rounded to the nearest 1000000?
-1322000000
Round 4868993 to the nearest ten thousand.
4870000
Round 0.000062682 to seven decimal places.
0.0000627
What is -0.00000779184 rounded to six decimal places?
-0.000008
What is -99388.348 rounded to the nearest 10000?
-100000
Round -537290 to the nearest 100000.
-500000
What is 0.0002600762 rounded to 5 dps?
0.00026
Round 70138.7 to the nearest one million.
0
What is 0.000456582 rounded to five decimal places?
0.00046
What is 270.0696 rounded to the nearest ten?
270
Round 0.113259 to three decimal places.
0.113
Round -249498.2 to the nearest 10000.
-250000
What is 0.107994 rounded to three dps?
0.108
What is -0.000000840584 rounded to 7 decimal places?
-0.0000008
Round 248573 to the nearest one hundred thousand.
200000
Round -84671.2 to the nearest 10.
-84670
Round -0.01958691 to five decimal places.
-0.01959
What is -9066290 rounded to the nearest one million?
-9000000
What is 7.992836 rounded to 1 dp?
8
Round 711376000 to the nearest one million.
711000000
What is -0.056879229 rounded to 4 decimal places?
-0.0569
What is -0.1329976 rounded to two decimal places?
-0.13
Round -23238.073 to the nearest one hundred.
-23200
What is 134.91925 rounded to 1 dp?
134.9
Round 6740.93 to the nearest 100.
6700
What is 4.23779 rounded to one dp?
4.2
Round 3.46805 to one dp.
3.5
What is -0.00000897705 rounded to 6 dps?
-0.000009
What is 31.77585 rounded to 2 decimal places?
31.78
Round 177268250 to the nearest one million.
177000000
Round -0.2940191 to 3 decimal places.
-0.294
Round -0.0000216772 to five dps.
-0.00002
What is -0.0273448 rounded to three dps?
-0.027
Round 14.580783 to 1 dp.
14.6
What is 2442715 rounded to the nearest one thousand?
2443000
What is 0.00004721267 rounded to 6 dps?
0.000047
Round -0.000175439 to five dps.
-0.00018
Round 5480706 to the nearest 1000000.
5000000
Round -2013290100 to the nearest 1000000.
-2013000000
What is 18842.57 rounded to the nearest 100?
18800
What is 2685000 rounded to the nearest one hundred thousand?
2700000
Round -4605.426 to the nearest one thousand.
-5000
Round 124.29479 to 0 decimal places.
124
Round -358.388 to 0 decimal places.
-358
Round 71789.8 to the nearest one hundred.
71800
Round -4533.038 to the nearest one hundred.
-4500
Round -13.94992 to 2 dps.
-13.95
What is -372284.8 rounded to the nearest ten thousand?
-370000
Round -253.683 to the nearest 10.
-250
What is -217.14628 rounded to the nearest integer?
-217
What is -2654955 rounded to the nearest one hundred thousand?
-2700000
Round -3.63757 to 1 decimal place.
-3.6
Round 5707843.5 to the nearest 100000.
5700000
Round 49.4312 to one decimal place.
49.4
What is -5.818129 rounded to three dps?
-5.818
Round -90.09307 to one decimal place.
-90.1
Round 0.0005718469 to 7 decimal places.
0.0005718
What is 0.00000606271 rounded to seven dps?
0.0000061
Round 0.00000829405 to seven decimal places.
0.0000083
What is -0.0004865844 rounded to 5 dps?
-0.00049
Round -0.0000057571 to four dps.
0
Round 0.00001993005 to six decimal places.
0.00002
What is 1.889208 rounded to two decimal places?
1.89
Round -50517.8 to the nearest 100.
-50500
What is 0.075483 rounded to 4 decimal places?
0.0755
Round -1.79821 to two decimal places.
-1.8
What is -0.0002760275 rounded to five decimal places?
-0.00028
Round -5894200 to the nearest 100000.
-5900000
What is -11784.2 rounded to the nearest 100?
-11800
What is -0.001788 rounded to three dps?
-0.002
What is 47614 rounded to the nearest 100?
47600
What is 1611827 rounded to the nearest 1000?
1612000
What is -0.0001150401 rounded to six dps?
-0.000115
What is 6.7983 rounded to 2 dps?
6.8
Round 0.02516935 to 4 decimal places.
0.0252
Round -0.12081037 to three decimal places.
-0.121
Round -0.0008113508 to four dps.
-0.0008
What is 92.8362 rounded to one dp?
92.8
Round 48.2532 to zero decimal places.
48
What is -1143049.4 rounded to the nearest 100000?
-1100000
What is 4400721.7 rounded to the nearest 10000?
4400000
Round 8161510 to the nearest 100000.
8200000
Round -0.3981666 to one decimal place.
-0.4
Round 3794946 to the nearest one thousand.
3795000
What is -0.000010245671 rounded to 6 decimal places?
-0.00001
What is 0.0000212803 rounded to 6 decimal places?
0.000021
Round 0.21823 to 2 decimal places.
0.22
What is 8.11049 rounded to two dps?
8.11
What is -0.000568217 rounded to four decimal places?
-0.0006
What is 0.00000100814 rounded to six decimal places?
0.000001
Round 1761090.9 to the nearest one hundred.
1761100
What is 18690.7 rounded to the nearest 1000?
19000
What is -0.2218115 rounded to 3 decimal places?
-0.222
Round 0.231539 to three dps.
0.232
Round -192929540 to the nea | {
"pile_set_name": "DM Mathematics"
} |
+ 32. Is n a composite number?
False
Suppose -3*m + 2780 + 1075 = 0. Suppose -5*p - 1285 = -5*d, -2*d = -7*d + 4*p + m. Is d a composite number?
False
Let x(w) = -6*w**2 - w**3 - 3*w**3 + 3*w + 1 + 5*w**3. Let l = 10 - 4. Is x(l) composite?
False
Suppose 88414 = 6*y + 28612. Is y a composite number?
False
Let x(q) = 22*q**2 + 5 + 6 - 3*q - 4. Let l(i) = 18*i - 184. Let p be l(10). Is x(p) composite?
True
Let l = 2928 - 1712. Suppose -4*f - l = -4*y, 298 = 2*y - y - 4*f. Suppose -4*d - y = -1054. Is d a prime number?
False
Let a = -317 + 564. Let c = -481 + a. Let w = c + 537. Is w a prime number?
False
Let j = 21 - 20. Is 2823 - (3 + -7 - (j - 5)) prime?
False
Suppose -22*i + 2 = -21*i. Suppose i*r + 38 = 824. Is r a prime number?
False
Let i = 32 + -23. Suppose -i*l = -l - 3352. Is l a prime number?
True
Suppose 5*q = -q - 162. Let r = 32 + q. Suppose r*i - 1475 = -0*i. Is i a prime number?
False
Let p(x) be the second derivative of 7*x**5/20 - x**4/4 + x**3 - 5*x**2/2 - 5*x. Is p(4) prime?
True
Let a be 5216/(-48) + (-2)/(-3). Let f be (a/45)/((-3)/40). Suppose -4*h + 40 = -2*v - f, 5*h - 103 = -4*v. Is h prime?
True
Let w = -30110 + 42253. Is w prime?
True
Suppose -3*l = -4*l - 2. Is 5*112 + l + -1 a composite number?
False
Suppose 2 - 6 = h - 3*p, 3*h = 3*p. Suppose h*f = -0*f + 2994. Suppose 4*n = n + f. Is n composite?
False
Suppose 2*n - u - 31 = -11, -4*u - 24 = -n. Let o(k) = k**2 + 5*k + 2. Let f(i) = -2*i**2 - 11*i - 5. Let q(d) = 3*f(d) + 7*o(d). Is q(n) composite?
False
Let w(j) = 2*j + 6. Let z be w(-5). Let x(m) = 25*m**2 - 2*m - 1. Is x(z) prime?
False
Let g = 2052 - 948. Suppose -5*u - 85 = -h - g, -8 = 2*h. Suppose -w - q + u = -4*q, -5*q = 5*w - 1055. Is w prime?
False
Suppose 0 = 2*y + 3*y - 320. Suppose 3*j + j = -8, 5*j - y = -2*z. Is z composite?
False
Let p(r) = -5 + 4 + 741*r + 660*r. Let a be p(1). Suppose 4*z - a = 276. Is z a composite number?
False
Let b(s) = 69*s**2 - 6*s - 8. Is b(-3) prime?
True
Let j(a) = -a + 7. Let k be j(5). Suppose -4*v = -k*g + 26, 2*g + 0*g + 3*v - 5 = 0. Let q(i) = -i**2 + 15*i + 6. Is q(g) a prime number?
False
Let k(r) = -19*r**3 - 10*r**2 - 13*r - 1. Is k(-6) composite?
False
Let l be (3/(-12))/(5/(-40)). Suppose 0 = -l*u - 0*u + 1530. Let b = u - 434. Is b composite?
False
Let k(h) = -h**2 - 2*h + 8. Let g be k(-4). Suppose i = 0, 0*x + x + 4*i - 503 = g. Let j = -130 + x. Is j composite?
False
Let d(l) = l**3 - 3*l + 3. Let y be d(2). Suppose -867 = -y*n - 3*h - 247, 244 = 2*n + 2*h. Is n composite?
False
Let z = 837 + 3746. Is z a composite number?
False
Let o(i) = 1436*i**2 + 51*i - 358. Is o(7) a composite number?
True
Suppose -7*a - 3*l - 2741 = -11*a, 3*a + 3*l = 2040. Is a a prime number?
True
Suppose 2*c + 35 = -867. Let j(r) = 2*r**2 + r - 788. Let t be j(0). Let w = c - t. Is w a composite number?
False
Suppose 8*a - 16511 - 39465 = 0. Is a a prime number?
True
Let l(a) = -5*a**2 - 28*a - 13. Let z(h) = -9*h**2 - 55*h - 26. Let x(m) = 5*l(m) - 3*z(m). Is x(-18) a prime number?
True
Suppose 0 = m - 3, 5*x - 8557 = -3*m + 107787. Is x composite?
True
Suppose 5*s - 16 = 9*s, 0 = 5*m - 3*s - 2. Is 1 + m - 396/(-3) a prime number?
True
Let t(i) = 3*i**2 + 4*i + 7. Let n(s) = -s**2 - 2*s - 3. Let m(k) = 5*n(k) + 2*t(k). Suppose -2*p - 4 = -p - 4*u, 5*u = -5*p - 45. Is m(p) a composite number?
False
Let q = 30 - 23. Suppose -1 - 14 = -5*z. Suppose z*w + 1036 = q*w. Is w prime?
False
Is (28 + -26)*(53758/(-4))/(-1) composite?
False
Let l be 0 + 3 + 520254/14 - -3. Suppose 0 = -3*t + 16*t - l. Is t composite?
True
Let o = 529 + -136. Suppose -4*s + o = -3*s. Is s a prime number?
False
Let p(h) = 996*h**2 + 4*h - 3. Is p(2) prime?
True
Let y(l) = 4*l**3 + 4*l**2 + 3*l + 2. Let h = 32 + -28. Is y(h) prime?
False
Let f = -1645 - -439. Let x(s) = -211*s + 3. Let z be x(2). Let t = z - f. Is t a prime number?
True
Is ((-12)/(-27)*3)/((-2)/(-1461)) a composite number?
True
Suppose -7 + 151 = 9*j. Let z(m) = 5*m**2 - 11*m - 7. Is z(j) composite?
False
Let l = -153 - -493. Suppose -797 = -b + 3*c, -1254 = -2*b - 5*c + l. Is b prime?
True
Let o be ((-2)/10)/((-6)/101670). Suppose -o = -r + 4*n, 3*r + 2*n - 10151 = -2*n. Is r a prime number?
False
Let h(q) = 14*q**2 - 9*q + 56. Is h(23) composite?
True
Suppose 16*x = 19*x - 39927. Is x a composite number?
False
Let g(u) = 4*u - 5*u - 5 - 3. Let v be g(-12). Suppose -v*z = 5*w - 640 - 407, -1 = w. Is z composite?
False
Is (-2863)/(-15) + (-240)/(-1800) prime?
True
Let c = 52 + -19. Suppose c*k - 29*k - 5588 = 0. Is k a composite number?
True
Let t = -15247 + 22968. Is t a composite number?
True
Let c be 453*(4/6)/1. Suppose -p + 3*v - 6 = 2, -5*p - v + 24 = 0. Suppose -p*q - 42 = -c. Is q a composite number?
True
Let r(f) = 3*f - 2. Let t(h) = h**3 + 5*h**2 + h + 7. Let p be t(-5). Let n be r(p). Suppose 0*j = n*j - 2524. Is j a prime number?
True
Let j be (2/6)/((-1)/(-3)). Let v = -4 - -2. Is 49 - -1 - (v - j) prime?
True
Is (-4)/7 + 474540/140 a prime number?
True
Let b(k) = 1149*k - 392. Is b(15) composite?
False
Suppose -43*l + 46*l = 3. Is 0 + 1301 + -3 + l a composite number?
True
Let m(j) = j**3 - 3*j**2 - 7*j + 5. Suppose c = -3*c - 4*i, -4*c - 15 = i. Let r(u) = -u + 1. Let h be r(c). Is m(h) prime?
True
Is (-6 - 3 - -3250) + (5 - -1) composite?
True
Is 17341 + (-23 + 24)/(2/(-4)) prime?
False
Suppose -p + 6*p - 20 = 0. Is -3 + (591 - p - 3) prime?
False
Suppose 2 = -n + 6. Let j(i) = 14*i**3 - 5*i**2 - 5*i + 6. Is j(n) a composite number?
True
Let a(r) be the third derivative of r**5/30 + 5*r**4/24 + r**3/6 - 10*r**2 - 1. Let t(g) = -2*g + 4. Let y be t(-3). Is a(y) composite?
False
Suppose -18 = -d - 2*d. Suppose 114 + 672 = d*s. Is s a composite number?
False
Let j be 491 - (-5 - (2 + -4)). Suppose -j - 14 = -2*q. Suppose -2*f + 3*f = q. Is f a composite number?
True
Let l be 1685/(-15) + 4/(-6). Suppose -5*h = 3*b - 932, -4*h + 2*h - 296 = -b. Let p = b + l. Is p a composite number?
False
Let i = -83 - -57. Let d = i - -28. Is (d/(-4))/(8/(-2576)) composite?
True
Let j be (2/(-3))/(-4*(-2)/(-204)). Let u(s) = 20*s + 69. Is u(j) composite?
False
Suppose 47 = 2*g + 3*n, -3*g + 2*n + 22 = -29. Suppose -20 = 15*v - g*v. Suppose 520 + 145 = v*z. Is z composite?
True
Let q(l) = -4*l**2 + l - 12. Let k(b) = -21*b**2 + 4*b - 60. Let o(v) = 2*k(v) - 11*q(v). Is o(-5) prime?
False
Suppose 5*m = 3*m + 5*l + 24771, -l + 24765 = 2*m. Suppose m = 4*n + 5211. Is n composite?
True
Let j be (2 + 4/(-6))/(4/12). Suppose -1090 = -d + 5*l, 5555 = j*d + d - 4*l. Is d a composite number?
True
Suppose 176 + 104 = 4*p. Suppose -p*a - 49756 = -74*a. Is a a prime number?
False
Let x(k) = k**2 + 3*k - 5. Let a(z) = -1. Let i(f) = 2*a(f) + x(f). Let r be i(-5). Suppose 4*c = 4*n + 6*c - 232, 4*n + r*c - 230 = 0. Is n composite?
False
Let t = 2216 + -324. Let b = -259 + t. Is b composite?
True
Suppose -5*y + 3 = 2*q, 4*y = 4*q - 0 - 20. Let c(m) = 2*m**2 - m - 9. Is c(q) a composite number?
False
Is (366/(-488))/((-6)/58264) a composite number?
False
Is -11 + -1 + 4 + 83545 prime?
True
Let h(k) = 390*k - 43. Is h(4) prime?
False
Let k be 1 + (-103406)/30 + 2/(-15). Let h = -2233 - k. Is h a composite number?
False
Let y(z) = 7 - 63*z**3 - 2 - 6. Is y(-2) prime?
True
Let g(k) = -1444*k + 25. Is g(-7) a composite number?
False
Suppose 0 = 4*x + 3*n - 2525, 3*x = -4*n + 1083 + 802. Is x a composite number?
True
Let v be 9/(-6)*56/(-12). Suppose 2*p + 160 = v*p - 5*w, -5*w + 128 = 3*p. Is ((-99)/p)/((-1)/28) a prime number?
False
Let n(m) = -4*m + 1 - 4*m - 6. Is n(-18) a composite number?
False
Let u = -9 + 9. Suppose -24 = 6*h - u. Is ((-3 - h) + 11)/2 a prime number?
False
Let t = -27 - -31. Is 534 + (-1)/t + 39/(-52) a composite number?
True
Let w(o) = -2*o + 21. Let j be w(8). Suppose 0 = -3*q - s - 2552, q + 183 = -j*s - 649. Let g = q + 2129. Is g composite?
False
Let z(h) = 208*h**2 + 31*h - 108. Is z(7) a prime number?
True
Let f(c) = -c**3 - 2*c**2 - 4*c - 1. Let u be f(-3). Suppose -2*z - 3*z + a = -8, -u = -5*z - 5*a. Is 34 - 9/(1 + z) a composite number?
False
Suppose -12 + 2 = -2*l. Suppose 5*c - 3255 = -l*t, -t = -3*t - 5*c + 1308. Is t composite?
True
Let q = 9012 + -1973. Is q a prime number?
True
Let a be (1 - 5)/((-10)/15). Suppose -a*i + | {
"pile_set_name": "DM Mathematics"
} |
Let l(h) = -7*h - 6. Let f be l(7). Let b = 55 + f. Which is smaller: 1 or b?
b
Let t(x) = x**3 + 9*x**2 + 13*x + 5. Let y be t(-13). Let s be 7/(196/16) + 459/y. Is -1 less than or equal to s?
True
Let r = 0.031 - -0.969. Let h = -191/5 + 38. Which is smaller: r or h?
h
Let a(g) = -14*g - 76. Let u be a(-11). Suppose 75*i - u*i = 0. Let r be 2/6 + (-28)/(-6). Is r greater than i?
True
Let b be (-5)/(-7) + (-4)/(-14). Let y(m) = -9*m - m**3 + 3*m - 1 - 11*m**2 + 18*m**2. Let i be y(6). Is b at most as big as i?
False
Let g be ((-1)/7)/(2/38). Let y = g + 157/63. Does 7 = y?
False
Suppose 14 = 4*c - 58. Is 93/5 greater than c?
True
Let w = -9 + -70. Is -75 at most as big as w?
False
Let s be (-101338)/(-10) - 12/30. Let q = s - 10230. Let d = 96 + q. Is d at most 0?
True
Let j(g) = 13*g**2 - 25*g. Let f(m) = -3*m**2 + 6*m. Let x(r) = 9*f(r) + 2*j(r). Let c be x(4). Let n be (6 - c)*(-5)/(-50). Is n greater than or equal to 1?
False
Let g be 2/(-4)*(-13)/(-5). Let u be (-1 - -6)/(-10)*0. Is g less than u?
True
Let o = -6.4 - -1.4. Let m = 6.5 + o. Which is smaller: 0.2 or m?
0.2
Let f(b) = 5*b - 22. Let w be f(5). Suppose -v - w*d = v + 5, -4*v = 5*d + 9. Is 1/8 at most as big as v?
False
Let s = 319 + -313. Is s at most 3?
False
Let z be (-6)/(-4)*24/(-18). Suppose -b - 4*o + 55 = 0, -b + 0*b - 2*o + 45 = 0. Let u be b/21*1/(-2). Are u and z nonequal?
True
Let q = -50 + 39. Let t = -38 - -27. Is t less than q?
False
Let r(w) = 24*w - 63. Let p be r(2). Let o(y) = y**2 + y - 5. Let j be o(-6). Suppose -4*z - 4 = 0, j = -5*n + 5*z - 50. Which is smaller: p or n?
n
Let k = -286 - -294. Is -2/71 bigger than k?
False
Let z be -1 + -2 + 77/25. Let r = 97 + -89. Let n = 7 - r. Which is greater: z or n?
z
Suppose -6 = -o - 8. Suppose -3*l = -10 - 2. Is o less than l?
True
Let b = -1756 - -1755. Let z = 0.2 - 0.49. Let l = -11.71 + z. Which is greater: b or l?
b
Let b be (0 + (-12)/(-20))/((-7)/665). Which is smaller: b or -61?
-61
Let k be 2*(18/22 + (-4)/(-22)). Suppose -3*s = -3*p + 2*s - 12, k*p + 3*s = 11. Let j be (-39)/(-12) + (-1 - 1). Is p > j?
False
Let n(k) = 660*k - 48. Let o be n(1). Which is smaller: o or 611?
611
Let n(a) = -7*a - 32. Let v(d) = 13*d + 63. Let l(k) = 5*n(k) + 3*v(k). Let h be l(-7). Is -1 < h?
True
Let o be (73/27)/(-3 - 64/6). Let t = -1/41 + o. Let g be 1/6 + 2/4. Which is bigger: t or g?
g
Suppose -5615 = -27*b - 755. Are b and 178 nonequal?
True
Suppose 0 = 9*g - 3*g. Suppose 2*c + 6 = 0, 3*y + 2*c + 9 = -g. Is -6 bigger than y?
False
Let p be 2/6*(-2556)/(-6). Let z = p + -1276/9. Suppose 2 = -5*x - 2*y, -4*x + 4*y + 3 + 1 = 0. Is z less than x?
False
Let c = 0.13 + -0.1. Is 4 < c?
False
Let o be ((-30)/60)/(22/12). Let y be -1 + (-1 + 2 - -1). Is o > y?
False
Suppose 3*r - r = 36. Let a be (-3 - 141/(-27)) + (-4)/r. Is a not equal to -0.1?
True
Let u be (6*14/(-1659))/3. Is u at most 1?
True
Suppose -7*c = -c - 18. Let z be (c/6)/((-711)/18). Let h = 235/158 - z. Is 1 < h?
True
Suppose 5*l + 6*l = -264. Let i(o) = 5*o + 21. Let k be i(-9). Is l bigger than k?
False
Let i = -894 - -894. Which is bigger: -20/87 or i?
i
Suppose 7*h - 4*h - 60 = 0. Suppose 0 = 5*q - 0*q + h. Let f be (-171)/324 + q/18. Which is smaller: -2 or f?
-2
Let g = -759 + 712. Which is greater: -45 or g?
-45
Let s = -184665/8 + 23196. Let m = s - 113. Which is smaller: 0 or m?
m
Suppose 9*i - 11*i = 0. Suppose i = -2*b - x - 7, b + 4*x + 11 = x. Which is smaller: b or -8/3?
-8/3
Let w = -1138 - -1143. Is w bigger than 94/15?
False
Suppose 960 = 2*b + 19*r - 15*r, -2*r - 984 = -2*b. Which is bigger: 487 or b?
b
Let i = -17 + 12.9. Let t = 2.9 + i. Let j = 0.5 + t. Is j bigger than 0.1?
False
Let w = -3403 - -78242/23. Is w greater than -1?
False
Suppose 3*s = -5*j - 49, -s - 5 = -j - 2. Which is smaller: s or 0.1?
s
Let f be (-5)/(3/(-3*7)). Suppose 37 = 4*v - f. Let z be ((-9)/v)/(1 + 1). Is 0 smaller than z?
False
Let b = -25735/1407 - -128/7. Is -1 > b?
False
Suppose 2*j + 13 = -3*p - 37, -p - 13 = -3*j. Let u = 20 + p. Let f be u - 1 - 17/6. Which is smaller: f or 1?
f
Suppose n = -4*n. Let a be (485505/(-435))/(6/(-4)). Let p = -744 + a. Is n greater than p?
False
Let q = -0.8 - -0.9. Let s = 0.72 - -11.28. Is s equal to q?
False
Let v = -2263 - -2264. Let k(a) = -a**2 - a. Let y be k(-1). Which is bigger: v or y?
v
Let v be ((-140)/48 + 3)/((-2)/6). Which is smaller: -23 or v?
-23
Let j(t) = t**2 - 4*t - 16. Let k = -24 - -31. Let v be j(k). Let d = -5 + 10. Is v greater than d?
False
Let v(t) = -t**3 + 4*t**2 - t - 4. Let s be v(4). Let r = 13 + s. Let m(f) = -f**3 - f**2 - 4*f - 4. Let i be m(-2). Which is bigger: r or i?
i
Let j = 248 + -248. Let s = -2 - -2. Is s smaller than j?
False
Let b = -6 - -2. Let u = -122/35 + 2/7. Which is greater: u or b?
u
Suppose -3*a + 84 = 4*r, 0 = a + 4*a + 3*r - 151. Let u = -45 + a. Let d = 9 + u. Which is smaller: d or -1?
d
Let u = 10 + -10. Suppose u = 4*d + 4, -w + d - 6*d - 5 = 0. Suppose w = 4*f - 10*f. Which is greater: f or 4?
4
Let r = -37 - -47. Suppose -8*u + 4 = -r*u. Do -8 and u have different values?
True
Let i = -2.6869 - -0.1869. Do i and 2/3 have the same value?
False
Let g(u) = 6*u - 17. Let j be g(7). Suppose -4*i + 2 = 5*w, 5*w + 0*i - 14 = 2*i. Suppose -w*r = b + j, -2*r - 4*b + 3 = 25. Which is bigger: 0 or r?
0
Suppose 0 = 5*z + 2*u + 589, -5*z - 3*u = -0*z + 591. Is -114 at most as big as z?
False
Let q = 29658/5 + -5932. Suppose 0 = -3*a + 2*a. Let u = a + 0. Are q and u equal?
False
Let u = -30464 - -212469/7. Let z be 3/(0 - 3/111). Let d = u - z. Which is bigger: d or -1?
d
Let a = -346 - 36. Which is greater: a or -381?
-381
Let a be 2 + 2 - (-34)/11. Which is smaller: a or 1/3?
1/3
Suppose l = -4*v - 5 + 2, 0 = 2*l - 4*v - 6. Suppose 3*p + 4*n = l, 0 = 2*p - 3*p - 5*n + 4. Are p and 5 nonequal?
True
Let d(n) = -n**3 + 7*n**2 - 7*n + 4. Let c be d(6). Let q be (-1)/c*14/7. Is q equal to -5/12?
False
Let c = 106 - 105.81. Which is smaller: 0.06 or c?
0.06
Let n = -703 - -704. Is n greater than 238?
False
Let i(h) = -h**3 + 4*h**2 + 5*h + 3. Let d be i(5). Let o be (-5)/((-4)/14 + 92/(-168)). Suppose -d = -o*k + 3*k. Which is smaller: k or 9/7?
k
Let a = 24 - 32. Let l = 16 + a. Suppose 2 + 2 = -t + w, 0 = t - 5*w - l. Is -7 bigger than t?
False
Suppose i - 10 = -a, -5*a + 6*i - 12 = -3*a. Suppose 3*v + 5*u - 6 - 30 = 0, 0 = -5*v - 3*u + 44. Is a less than v?
True
Suppose -3*h = 4*r - 350, 522 = 4*h - 4*r + 18. Does 123 = h?
False
Let g = -25 - -18. Suppose 77 = -37*s - 219. Which is greater: g or s?
g
Let z be 360/(-225)*10/4. Which is bigger: z or -74/19?
-74/19
Let p be 3/(-114)*(-48)/(-5). Let c = 1/19 + p. Let z = 446 - 446.1. Is z greater than c?
True
Let j = 2.5 - -32.5. Let m = j + -25. Let v = m - 10.04. Which is smaller: -1 or v?
-1
Let w = -15 + 9. Let u = -6.9 - w. Let p = 8 - 9. Is u >= p?
True
Let o = -70 + 77. Suppose -4*b = -3*g + 22, 2*g - o*g = b - 6. Is 2 at most g?
True
Let r be 1*19 + (-26)/(-13). Let k be ((-70)/r)/((-4)/(-78)). Let f be (-8)/20 - 6/k. Which is bigger: f or 1?
1
Let l = -500/111 + -6/37. Suppose 10*k + 11 = 8*k + a, -4*k + 3*a - 21 = 0. Is k at most as big as l?
True
Let m(l) = l**2 + 22*l + 57. Let c be m(-19). Is -6/23 less than or equal to c?
True
Let i = -79 - -42. Let c = 11 + i. Let s = c - -27. Is 1 equal to s?
True
Let h(u) = -248*u + 6. Let l be h(2). Let w = l - -3412/7. Let x = w - -17/7. Is x >= 0?
False
Let k(u) = 8*u + 16. Let h be k(-2). Which is greater: 1/1241 or h?
1/1241
Let k = -41360/63 - -5708/9. Which is bigger: k or -22?
-22
Let t be 10/4*(-4)/(-5). Suppose 23 = 7*z - 2*z + t*v, -5*z = v - 24. Let u = 10 - z. Is 5 less than or equal to u?
True
Suppose 0 = -5*r + 5*f - 4*f - 11, -3*r + 5*f + 11 = 0. Let q be (-1 - 6/(-10))/(r/(-5)). Which is smaller: 6/17 or q?
q
Let s = 3 + -4. Let i = -98 - -96. Let c be -5 - (i - (-92)/(-28)). Which is smaller: c or s?
s
Suppose -5*q + 2*y + 3*y - 25 = 0, 3*q + 2*y = 10. Let k(f) = -9*f + 3. Let j be k(3). Let b be j/(-714)*(-7)/(-6). Which is smaller: b or q?
q
Let s be (-33984)/(-2600) + -3 + -1 + 2. Let g = -146/13 + s. Is 0 >= g?
True
Let p be 1*7 + 4/(-2). Let d = -4 + p. Let z(h) = -h**3 + 3*h**2 + h - 1. Let r be z(3). Which is smaller: r or d?
d
Let k = -721 - -698. | {
"pile_set_name": "DM Mathematics"
} |
Give prob of sequence tww.
1/56
Calculate prob of sequence bnb when three letters picked without replacement from {b: 3, n: 11, w: 2, j: 3}.
11/969
Calculate prob of sequence pacc when four letters picked without replacement from {l: 1, a: 1, z: 4, p: 3, c: 4}.
3/1430
Calculate prob of sequence qxb when three letters picked without replacement from xsxqhdsqbdhxsqddsdsd.
1/760
What is prob of sequence uuw when three letters picked without replacement from {i: 6, u: 2, w: 11}?
11/2907
Two letters picked without replacement from {a: 1, m: 1, u: 1, g: 1, d: 1}. Give prob of sequence ug.
1/20
Calculate prob of sequence fkk when three letters picked without replacement from kkkkkkkkkkkkkkkkfkk.
1/19
Calculate prob of sequence adc when three letters picked without replacement from acccaiccdcaandcac.
1/51
What is prob of sequence vrvk when four letters picked without replacement from vvrk?
1/12
What is prob of sequence hi when two letters picked without replacement from {h: 10, z: 1, f: 3, i: 4}?
20/153
Three letters picked without replacement from cckjcjrrkc. Give prob of sequence cjr.
1/45
Calculate prob of sequence hyyh when four letters picked without replacement from ychycchcctchccct.
1/3640
What is prob of sequence llol when four letters picked without replacement from {l: 9, o: 2}?
7/55
Four letters picked without replacement from {s: 1, f: 1, c: 3}. Give prob of sequence fccc.
1/20
Calculate prob of sequence qsx when three letters picked without replacement from {x: 1, s: 1, p: 1, e: 1, c: 2, q: 2}.
1/168
Calculate prob of sequence gx when two letters picked without replacement from xkrrgrrgr.
1/36
Four letters picked without replacement from {p: 5, n: 1, b: 2, c: 1}. What is prob of sequence bnpc?
5/1512
Four letters picked without replacement from ccccccc. Give prob of sequence cccc.
1
Calculate prob of sequence ko when two letters picked without replacement from orrrorrokrrrcccrk.
3/136
What is prob of sequence mqn when three letters picked without replacement from qccxcqqcnqqcmmqcxqc?
7/2907
Two letters picked without replacement from {w: 1, z: 9, b: 1, f: 2, m: 5}. Give prob of sequence fm.
5/153
Calculate prob of sequence tuun when four letters picked without replacement from tnuttutttpppptt.
2/4095
Calculate prob of sequence ene when three letters picked without replacement from {y: 1, n: 1, e: 2}.
1/12
Calculate prob of sequence yc when two letters picked without replacement from {e: 1, z: 1, y: 3, c: 7, r: 1}.
7/52
What is prob of sequence qtq when three letters picked without replacement from iigqigiiitiqgittiii?
1/969
Two letters picked without replacement from zznjnnjnnnzzjzz. What is prob of sequence nj?
3/35
What is prob of sequence acr when three letters picked without replacement from {c: 2, a: 1, l: 3, r: 1}?
1/105
Three letters picked without replacement from eesgeeexg. Give prob of sequence esx.
5/504
Two letters picked without replacement from {d: 2, w: 1, r: 2, l: 1, z: 8}. Give prob of sequence zw.
4/91
Two letters picked without replacement from {d: 1, c: 2, h: 2, t: 2, p: 1}. Give prob of sequence ht.
1/14
Calculate prob of sequence ojz when three letters picked without replacement from lrzrzrrrylllrjol.
1/1680
Four letters picked without replacement from iiiweeiewgnqnewnwiww. What is prob of sequence ewnn?
2/1615
Three letters picked without replacement from {h: 7, m: 1, r: 1}. Give prob of sequence rhh.
1/12
Calculate prob of sequence rsrv when four letters picked without replacement from {v: 2, r: 2, s: 7}.
7/1980
Three letters picked without replacement from wbabn. What is prob of sequence bbn?
1/30
Two letters picked without replacement from {z: 1, h: 1, p: 6, u: 3, a: 1}. Give prob of sequence hz.
1/132
Two letters picked without replacement from uduuddrurdurrd. What is prob of sequence uu?
10/91
What is prob of sequence bbmb when four letters picked without replacement from {k: 2, p: 3, m: 8, b: 6}?
10/969
Calculate prob of sequence xxz when three letters picked without replacement from zxe.
0
Calculate prob of sequence iiii when four letters picked without replacement from iiiiii.
1
What is prob of sequence jf when two letters picked without replacement from {f: 2, p: 1, j: 4}?
4/21
What is prob of sequence heh when three letters picked without replacement from eheeeheeeeehhe?
5/91
What is prob of sequence un when two letters picked without replacement from {n: 1, d: 2, u: 11}?
11/182
Two letters picked without replacement from {i: 1, w: 1, a: 2, e: 12, l: 1}. What is prob of sequence iw?
1/272
What is prob of sequence os when two letters picked without replacement from somsooqsdqsoqooq?
1/10
Three letters picked without replacement from dpdppveeepegvv. What is prob of sequence gde?
1/273
Three letters picked without replacement from {y: 14, c: 4}. What is prob of sequence ccy?
7/204
What is prob of sequence ahha when four letters picked without replacement from ahahghhhg?
5/378
What is prob of sequence ggo when three letters picked without replacement from {m: 5, g: 2, t: 2, c: 1, o: 4}?
1/273
Calculate prob of sequence yx when two letters picked without replacement from {y: 4, x: 7}.
14/55
What is prob of sequence vzjk when four letters picked without replacement from {v: 2, j: 1, r: 2, k: 2, z: 1}?
1/420
Calculate prob of sequence ebbb when four letters picked without replacement from bbbbbibeeb.
1/12
Three letters picked without replacement from xnnyxnyyxxxxxxxxyx. What is prob of sequence nyn?
1/204
What is prob of sequence pp when two letters picked without replacement from {g: 2, p: 7, o: 2}?
21/55
What is prob of sequence hhj when three letters picked without replacement from {j: 7, h: 6}?
35/286
Three letters picked without replacement from wwdwzwwwwwco. Give prob of sequence owc.
1/165
What is prob of sequence ch when two letters picked without replacement from {h: 1, n: 1, k: 3, l: 1, c: 1}?
1/42
Four letters picked without replacement from xpjyppjgjpypgjjpj. Give prob of sequence pxyg.
1/2380
Four letters picked without replacement from {n: 5, a: 3}. Give prob of sequence anna.
1/14
Four letters picked without replacement from {b: 5, m: 7, h: 4}. Give prob of sequence hhhb.
1/364
Three letters picked without replacement from {a: 2, i: 2, z: 9, p: 3}. What is prob of sequence iai?
1/840
Calculate prob of sequence jv when two letters picked without replacement from mojvm.
1/20
Three letters picked without replacement from nnnnnnn. Give prob of sequence nnn.
1
Two letters picked without replacement from eeeekeeekeeoekeeoe. What is prob of sequence ke?
13/102
Four letters picked without replacement from {a: 7, j: 7, t: 4}. What is prob of sequence jatj?
49/3060
What is prob of sequence uv when two letters picked without replacement from ulvkfugv?
1/14
Three letters picked without replacement from {e: 2, l: 1, w: 2, q: 1}. Give prob of sequence ewl.
1/30
Four letters picked without replacement from lunnffnnutlcn. Give prob of sequence utln.
1/858
Four letters picked without replacement from {i: 5, v: 5}. Give prob of sequence vivv.
5/84
Four letters picked without replacement from {v: 2, b: 16}. What is prob of sequence bvbb?
14/153
Three letters picked without replacement from rrccrrrmrmhccrrrhrrr. What is prob of sequence hrm?
2/285
Calculate prob of sequence jjjj when four letters picked without replacement from {j: 10}.
1
Calculate prob of sequence yplp when four letters picked without replacement from ylaplladpaa.
1/1320
What is prob of sequence phrh when four letters picked without replacement from {p: 8, x: 3, h: 2, r: 6}?
1/969
Four letters picked without replacement from {b: 3, o: 3, n: 1, m: 2, v: 2, s: 4}. What is prob of sequence mbbs?
2/1365
What is prob of sequence ufui when four letters picked without replacement from fiujfiuijfufuifiif?
1/170
Three letters picked without replacement from {j: 2, n: 1}. Give prob of sequence jnj.
1/3
Two letters picked without replacement from {b: 2, i: 1, r: 2, f: 2, u: 3, m: 4}. What is prob of sequence rm?
4/91
Two letters picked without replacement from cddanrm. What is prob of sequence md?
1/21
Calculate prob of sequence uo when two letters picked without replacement from goefeuullgfe.
1/66
Three letters picked without replacement from rsrrrrrrrrr | {
"pile_set_name": "DM Mathematics"
} |
lue? (a) 2/37 (b) 18 (c) 0
a
Which is the biggest value? (a) 1 (b) -10 (c) 0.2 (d) -0.4
a
What is the biggest value in -2/11, -3, 5, 0.245?
5
What is the fourth smallest value in -0.4, -0.1, 0.4, 13?
13
What is the third smallest value in 62, 4, 5?
62
Which is the second smallest value? (a) -3/4 (b) -0.1 (c) 19
b
What is the second biggest value in -1, 147, 2, -4?
2
What is the smallest value in -5, -2, 5?
-5
Which is the second biggest value? (a) -1 (b) 2.2 (c) 0.5 (d) -0.2
c
Which is the fourth smallest value? (a) -4 (b) 4 (c) -5 (d) 0.1 (e) 3
e
Which is the second smallest value? (a) -0.1 (b) 0.2 (c) 5 (d) 2/3
b
Which is the fifth smallest value? (a) 0 (b) -1/21 (c) 1/2 (d) 1 (e) 0.66
d
Which is the second smallest value? (a) 2/15 (b) -4 (c) 4 (d) 0.4 (e) 183/7
a
What is the fifth biggest value in 1/4, 4, -2/11, 2/5, 2/7?
-2/11
Which is the second biggest value? (a) 5 (b) 0.2 (c) 74
a
Which is the second biggest value? (a) -2 (b) -0.5 (c) 1/4 (d) -16 (e) -0.2
e
Which is the smallest value? (a) -49/9 (b) 3/4 (c) -0.1
a
Which is the third biggest value? (a) 0 (b) 0.08 (c) 0.1
a
What is the smallest value in 13, -12/11, 3?
-12/11
Which is the biggest value? (a) -6 (b) -4 (c) -3/8 (d) 1/3
d
Which is the biggest value? (a) -4 (b) -3 (c) -1/942 (d) 0.2
d
Which is the second biggest value? (a) 0.07 (b) -2 (c) 4
a
Which is the fifth smallest value? (a) 0.1 (b) -8 (c) 3/7 (d) -3 (e) 3/5
e
What is the fourth biggest value in -0.1, 138, -1, 0?
-1
What is the third smallest value in 0.6, 0.15, -2/7?
0.6
What is the third biggest value in 194, -3/5, -0.1, 2?
-0.1
Which is the smallest value? (a) 0.4 (b) 0 (c) -1.7 (d) -5 (e) 2
d
What is the third smallest value in -0.1, -0.3, 0.22?
0.22
Which is the third biggest value? (a) -4 (b) 57 (c) 2/9
a
What is the third smallest value in -0.2, 50/3, 3.4?
50/3
What is the biggest value in 1, -993, -1?
1
Which is the smallest value? (a) 0.2 (b) 19 (c) 1/34
c
What is the fifth biggest value in -0.2, -0.13, -2, 1, -5?
-5
What is the third smallest value in 1/2, -5, -1, 4?
1/2
Which is the smallest value? (a) -2.42 (b) 0.1 (c) -3/7
a
Which is the second biggest value? (a) -2 (b) -1/5 (c) -0.21
c
What is the fourth smallest value in 1/2, -5, 0.1, -1/40?
1/2
Which is the third smallest value? (a) 2/3 (b) 0 (c) 1 (d) -3
a
What is the second smallest value in -1/9, 4, -0.59?
-1/9
Which is the second smallest value? (a) 3 (b) 0.166 (c) -2/3 (d) 2
b
What is the second biggest value in 1, 0.4, -4, 18?
1
Which is the fourth smallest value? (a) -1/13 (b) -2/13 (c) -3 (d) -1
a
What is the fourth smallest value in -5, -0.1, 4, 0.0078?
4
Which is the third smallest value? (a) -1/2 (b) 0 (c) -1644
b
What is the smallest value in 3, 29, 4?
3
Which is the biggest value? (a) -0.5 (b) 0 (c) -2/3 (d) 5
d
What is the second biggest value in 3/4, -0.3, 0.05, -9, -2/13?
0.05
Which is the smallest value? (a) -1 (b) -0.4 (c) 1 (d) 21
a
What is the second smallest value in 0.5, -4, -21, 2/15, -0.02?
-4
What is the third biggest value in -2, 91/3, -0.15?
-2
What is the biggest value in 0.5, 0.3, -3/40?
0.5
Which is the smallest value? (a) 0.1 (b) 1/5 (c) -2/7 (d) 245
c
What is the second smallest value in 2, -4, 4, 2/5, 1.8?
2/5
Which is the smallest value? (a) -1 (b) -61 (c) 5
b
Which is the third smallest value? (a) 3/13 (b) -1/3 (c) 2
c
Which is the second smallest value? (a) 2/27 (b) 32 (c) -0.2
a
What is the smallest value in 1, 0.08, -59?
-59
Which is the biggest value? (a) -1 (b) 68 (c) 4 (d) -7 (e) -4
b
What is the third biggest value in 0.04, -2/35, -1?
-1
Which is the second smallest value? (a) -0.14 (b) 5 (c) 1
c
What is the second biggest value in 2/11, -27, 2/17, -2/13?
2/17
Which is the second smallest value? (a) -0.7 (b) 1/2 (c) 0 (d) 4/7
c
What is the biggest value in 0.1, -91, -2/19?
0.1
What is the fourth smallest value in 1, 0.0573, -5, -5/3?
1
What is the biggest value in 298, 3, -3/5?
298
What is the third smallest value in 9, -7, 5?
9
Which is the second biggest value? (a) -152 (b) -8 (c) 0
b
What is the third biggest value in 2/5, 5, -4, 25/2?
2/5
Which is the smallest value? (a) -1 (b) 8 (c) 0.2
a
What is the second biggest value in -0.5, 69, -2/7?
-2/7
Which is the second smallest value? (a) -0.02 (b) -1 (c) 4 (d) 0.2
a
Which is the second smallest value? (a) -4 (b) -14 (c) 0.11 (d) 4
a
Which is the third smallest value? (a) -0.5 (b) -5 (c) 1/10 (d) -22/7
a
What is the biggest value in 0, -399, -1/3, -5?
0
What is the second biggest value in -54, -5, -3?
-5
Which is the second smallest value? (a) 0.2 (b) 2/3 (c) -4 (d) -12/13
d
Which is the fourth smallest value? (a) 2 (b) -3/2 (c) -1 (d) 71
d
What is the biggest value in 30, 2, 0.1?
30
What is the third biggest value in -2/5, 0.1, 5/23?
-2/5
Which is the third smallest value? (a) 1 (b) 3/5 (c) -361
a
What is the third smallest value in 5, -1, -19, 0?
0
What is the second biggest value in -2/5, -1, 3/4, -1/185?
-1/185
Which is the fourth smallest value? (a) -3 (b) -131 (c) -0.2 (d) 0.1
d
What is the third smallest value in -1, 0.1, 2/47, 1/2?
0.1
What is the fourth biggest value in 0.2, -1, -4/3, 3/5?
-4/3
Which is the fourth biggest value? (a) -5 (b) 0.01 (c) -1/2 (d) 2/7
a
Which is the third biggest value? (a) -1/2 (b) -0.11 (c) 7
a
Which is the third biggest value? (a) -7/4 (b) -1 (c) 1/4 (d) -5
a
What is the smallest value in -138/41, 5, 0?
-138/41
What is the biggest value in 14, -2/15, -0.3?
14
What is the third smallest value in -2.79, -6, 5?
5
What is the second smallest value in 38, -2/7, -16?
-2/7
Which is the second smallest value? (a) -5/3 (b) 0.25 (c) -5
a
Which is the smallest value? (a) 5 (b) -6 (c) 3 (d) -0.2
b
What is the fourth smallest value in 0, -4, -2/9, -24?
0
Which is the second biggest value? (a) -0.4 (b) 0 (c) -5 (d) -1/4
d
Which is the second smallest value? (a) 1/4 (b) 1 (c) 3/7 (d) 133
c
Which is the third biggest value? (a) -12.3 (b) 2 (c) 3 (d) 5
b
Which is the biggest value? (a) 0.181 (b) 2/17 (c) 4 (d) -0.1 (e) 6
e
What is the second smallest value in 9, -40, -0.1?
-0.1
Which is the third smallest value? (a) -4 (b) -6 (c) 0.02
c
Which is the biggest value? (a) 5 (b) -3 (c) -0.057 (d) -2/9 (e) -0.4
a
What is the third biggest value in 82, -1, 2, 5?
2
What is the biggest value in -3/7, -20, -1, -1/9?
-1/9
Which is the second smallest value? (a) -26.5 (b) -0.3 (c) -5
c
Which is the third smallest value? (a) 2 (b) 9 (c) -7/3 (d) -1
a
What is the second smallest value in 1/7, 454, -0.02?
1/7
Which is the smallest value? (a) -0.1 (b) -0.4 (c) -0.5 (d) 29
c
Which is the smallest value? (a) 1737 (b) -6 (c) 2/5
b
Which is the second smallest value? (a) 0.049 (b) -6 (c) -1 (d) 1/3
c
What is the second biggest value in -5, -3/10, -4/3, 10?
-3/10
Which is the biggest value? (a) -0.5 (b) -6/151 (c) 0.3
c
What is the smallest value in 2/9, 0.01, 4?
0.01
What is the second biggest value in 1, 3/5, -0.9?
3/5
Which is the second smallest value? (a) -0.2 (b) 6 (c) 4 (d) 3
d
What is the fifth smallest value in 1/3, 565, -1/10, 0.4, -0.2?
565
Which is the second smallest value? (a) -0.008 (b) -4 (c) -12/115
c
What is the fifth smallest value in 3/2, 0.5, 0.02, 0, -0.12?
3/2
What is the second biggest value in -1/3, -16, -1?
-1
What is the fourth smallest value in 1/2, -2/3, -3, -4?
1/2
Which is the third biggest value? (a) 59 (b) 4 (c) 8
b
Which is the biggest value? (a) 3 (b) -1/3 (c) -4
a
Which is the third biggest value? (a) 12 (b) -4 (c) -0.4
b
Which is the third smallest value? (a) -0.3 (b) 4/9 (c) 0 (d) -50
c
What is the second biggest value in 3, -2/5, -4/5, -12?
-2/5
What is the second smallest value in -128, 0.12, -1?
-1
What is the third smallest value in 3/10, 0.6, -6?
0.6
Which is the third biggest value? (a) -10 (b) 0.4 (c) 1 (d) 3/5
b
What is the fourth smallest value in 1.3, -3/2, 1/4, 0?
1.3
Which is the smallest value? (a) 1 (b) -0.6 (c) -4
c
What is the second smallest value in 0.7, -2/223, -3?
-2/223
Which is the second smallest value? (a) -0.2 (b) -10 (c) -1/12
a
Which is the fou | {
"pile_set_name": "DM Mathematics"
} |
- f. List the prime factors of h.
2, 3
Let q(i) = -i**2 + 14*i - 11. List the prime factors of q(6).
37
Suppose 2*m + 3*p = 73, -4*p + 136 = 4*m - 0*p. Let d = m - 12. Suppose d = 4*y - 23. List the prime factors of y.
2, 5
Let t(v) = v**3 + v**2 - 7*v - 13. List the prime factors of t(6).
197
Suppose -2*d + 36 = z - 0*d, 215 = 5*z + 3*d. What are the prime factors of z?
2, 23
Suppose -3*w + 1 = -k, -k - 7 = -4*w - 5. Let m = 7 + w. List the prime factors of m.
2
Let a(v) = -v**3 - 7*v**2 + 7*v - 4. Let m be a(-8). Suppose -p + 0*p = -2. Suppose -8 = p*d, o + m*d + 2 = -3. List the prime factors of o.
11
Let d = 39 + -35. List the prime factors of d.
2
What are the prime factors of 12/10*150/2?
2, 3, 5
Let w(h) = h**3 + 4*h**2 - 5*h - 4. Let t be w(-5). What are the prime factors of 15 + t/8*-2?
2
Suppose 8 = t - 2*s, -8 = 3*t - 0*s + 2*s. Suppose 0 = -2*x + 4 - t. List the prime factors of (32/40)/(x/30).
2, 3
Suppose 2*a + p = -1, p = 5*p - 20. Let h(l) be the third derivative of l**5/20 + l**4/8 - l**3/6 + l**2. List the prime factors of h(a).
17
Let g = -58 - -20. Let c = 55 + g. What are the prime factors of c?
17
Suppose 22 = 5*a - 173. Suppose -a = -4*l + l. List the prime factors of l.
13
Let o(n) = n**3 + 10*n**2 + 11*n + 8. What are the prime factors of o(-8)?
2, 3
List the prime factors of (-1)/(-5) - 195/(-25).
2
Suppose 3*g + p - 346 = 0, -3*g - p + 348 = 2*p. Suppose 15*j - 10*j - g = 0. List the prime factors of j.
23
Suppose 22*q = 17*q + 295. List the prime factors of q.
59
Suppose 4*p = 2*b - 98, -3*p = -0*b + 2*b - 77. List the prime factors of b.
43
Let m be 4*(2 + -3)/(-2). Let g = 2 - -1. Suppose -3*b + 4*i = g*i - 42, i - 23 = -m*b. List the prime factors of b.
13
Let n = -674 + 959. List the prime factors of n.
3, 5, 19
Suppose -5*n - 4*j = -15, n + 0*n - 3 = 2*j. Suppose -n*l = -l + 4. List the prime factors of 2 - (l - (-2)/(-1)).
2, 3
What are the prime factors of 48/5*160/48?
2
Suppose 2*v + h - 11 = -0*v, 5*h = 5*v - 5. Let g be (-2)/(-8) - (-139)/v. Let u = g - 23. List the prime factors of u.
2, 3
Suppose 3*i - 19 = 2*k, -4*i + 0*i + 4*k + 28 = 0. Suppose i*p = j, -3*j = -8*j - 25. List the prime factors of -3 - (p + -2) - -15.
3, 5
Suppose -a - 2*a + 54 = 0. What are the prime factors of a?
2, 3
Suppose -4*u + 8*u + h = 108, -4*h = u - 42. List the prime factors of u.
2, 13
Let i be -5 - -4 - (0 - -3). List the prime factors of (-22 - -10)*2/i.
2, 3
What are the prime factors of (-324)/(-8) + 3/6?
41
Let o(x) = -x**3 - 8*x**2 - 2*x + 2. List the prime factors of o(-8).
2, 3
Suppose -4*j = -3*j - 1. Suppose -j + 30 = 5*u - 3*n, -5*n - 23 = -2*u. Suppose 2*r + 3*w = 2 - 1, 0 = -5*r - u*w + 6. List the prime factors of r.
2
Let b = -4 + 9. Suppose -b*j + 126 = 31. What are the prime factors of j?
19
Suppose 0 = 2*z - 27 - 139. Let h = -46 + z. What are the prime factors of h?
37
Let v(f) = f**3 - 10*f**2 - 11*f + 4. Let u be v(11). List the prime factors of u/12 - 74/(-3).
5
Let n(p) = -p**3 + 5*p**2 + 2*p - 5. Let s be n(-3). Suppose -s = -3*g + 32. What are the prime factors of g?
31
Let g = 0 - -2. Suppose 80 = g*o + 2*o. Suppose -28 = -4*j + o. What are the prime factors of j?
2, 3
Let m = -111 - -201. Suppose 5*a = m + 235. Suppose 10*b = 5*b + a. List the prime factors of b.
13
Let u be (-530)/(-1)*(7 - 6). Let y be u/7 - (-4)/14. Suppose -y = -3*v - 25. What are the prime factors of v?
17
Suppose -4*h + 122 = -2*o, 0*o + o - 71 = -2*h. List the prime factors of h + -1 + 1 + -2.
31
Suppose 0 = 4*j + j - 10. Suppose 2*b - 10 = -j. Suppose 9 = 7*o - b*o. What are the prime factors of o?
3
Let t = -135 + 258. List the prime factors of t.
3, 41
Suppose 5*y - 3 = -v + 10, 0 = -4*v + y + 94. List the prime factors of v.
23
Suppose -4*r + 0*r = -136. What are the prime factors of r?
2, 17
Suppose -3*k - 68 - 52 = -x, -5*k - 199 = -2*x. Let s = k - -59. List the prime factors of s.
2, 3
Suppose u + a = 4*u - 87, -u - 3*a + 29 = 0. What are the prime factors of u?
29
Let n be 12/(-2)*(4 - 0). List the prime factors of 30/(-4)*32/n.
2, 5
Let x = 12 + -6. Suppose -3*o + 6 = -q, -3*q - o + x - 4 = 0. Suppose -y + 5*a - 4*a + 9 = q, 4*a = -16. What are the prime factors of y?
5
Let g = -10 + 14. Suppose 0 = -g*m + 8. Suppose -5*a - m*r - r + 12 = 0, -5*a + r + 16 = 0. List the prime factors of a.
3
Suppose -10*x + 8*x + 8 = 0. List the prime factors of 54/x + 1/2.
2, 7
Suppose -1222 = -6*z + 3*z + 2*a, 4*a - 2000 = -5*z. List the prime factors of z.
2, 101
Suppose -36 = -f - f. List the prime factors of f.
2, 3
Let j = 4 - 5. Let q = j - -22. What are the prime factors of q?
3, 7
Let g(p) = p**2 - 11*p + 5. Let k be g(12). Let l = k - 11. What are the prime factors of l?
2, 3
Let k be (3 - 7)/((-1)/7). Let h = k + -19. Let g(p) = -p**3 + 8*p**2 + 9*p + 3. What are the prime factors of g(h)?
3
Let u = -12 - -27. List the prime factors of u.
3, 5
Let n = 53 + -32. Suppose -n + 4 = -p. What are the prime factors of p?
17
Let a = -6 - -9. Let u(f) = -3*f**2 + 2*f + 2 - 3 + 2*f**a - f. What are the prime factors of u(2)?
5
Let n = 4 + 2. Let u(r) = r**2 - 5*r - 8. Let i be u(n). List the prime factors of (i + 1)/(3/(-12)).
2
List the prime factors of (-256)/16*(0 - 1).
2
Let l = 103 - 57. What are the prime factors of l?
2, 23
Suppose -3*g + 0*z + 228 = 3*z, 3*g + 4*z = 233. What are the prime factors of g?
71
Let p(u) = -u**3 - 5*u**2 - 6. Let c be p(-5). Let a be 5*(-39)/30*c. List the prime factors of 6/(-9)*a/(-2).
13
Let t be 2 - 1 - 0/(-2). Let b = 6 - t. Suppose -2 - 1 = -n + 3*j, b*n = -2*j + 32. What are the prime factors of n?
2, 3
Suppose -6*m + 5*m + 4 = 0. Suppose -25 = -m*q - 5. List the prime factors of q.
5
What are the prime factors of (-552)/(2 + -4) + (-2)/(-2)?
277
Let w(d) be the third derivative of -5*d**4/12 + d**3/2 - 6*d**2. What are the prime factors of w(-1)?
13
Suppose 3*l - 354 = -4*f, 0*l + 3*f = -4*l + 472. What are the prime factors of l?
2, 59
Let o = -778 + 1107. What are the prime factors of o?
7, 47
Let g(j) = 10*j - 3. What are the prime factors of g(6)?
3, 19
What are the prime factors of -4*(805/(-20))/7?
23
Suppose -2*g - 2*g = -16, 0 = -b + 5*g - 16. Let a be b/5*(0 - -5). Suppose 27 = a*q - 3*s, -4*q = q - 5*s - 30. What are the prime factors of q?
3
Suppose 4*n - 255 = 317. List the prime factors of n.
11, 13
Suppose -5*o + 0*o + 30 = 0. Suppose 4*h + o*p - 38 = p, -5*p - 18 = -4*h. What are the prime factors of h?
7
Let i(j) = 20*j - 21. What are the prime factors of i(5)?
79
Suppose -q = -4*q + k + 72, -4*k = q - 37. List the prime factors of q.
5
Let w(a) = a**2 - 1. List the prime factors of w(4).
3, 5
Let n be 3 + 1 + -2 + 3. Suppose n*a + 25 + 60 = 0. Let q = -11 - a. What are the prime factors of q?
2, 3
Let w = 19 - 14. Suppose -b + 18 = -w*l, -l = -4*l. List the prime factors of b.
2, 3
Let w(j) = 4*j - 7. Let t be w(10). List the prime factors of 6*1*t/6.
3, 11
Let c(s) = 3 + 9 - s - 3. What are the prime factors of c(4)?
5
Let o be (-3)/((-1)/((-4)/(-6))). Let g(h) = 2*h**2 - 4*h. Let b be g(3). Suppose 7*m - 4 = 3*m - o*d, 0 = -2*m - 3*d - b. What are the prime factors of m?
3
List the prime factors of -7*(-4 + 3 + 0).
7
Let a(h) = -2*h**3 + h**2 + h + 1. Let f be (9/6)/3*-2. Let w be (-1)/f + -1 - 1. List the prime factors of a(w).
3
Let f be 2 + -1 + 442/(-13). Let q = f - -55. List the prime factors of q.
2, 11
Suppose -7*q + 524 = -5*q - 4*m, 4*m = -3*q + 836. List the prime factors of q.
2, 17
Suppose 75 = 5*o - 2*o. List the prime factors of o.
5
Let b be 10/(-3)*99/(-2). Suppose 0 = -5*u + b + 15. Suppose -3*f - u = -6*f. List the prime factors of f.
2, 3
Let t = 77 - 65. What are the prime factors of t?
2, 3
Let r(k) = -5 - 10 - 7*k**3 - 2*k + 14. What are the prime factors of r(-1)?
2
Suppose 3*k - 40 - 53 = 0. List the prime factors of k.
31
What are the prime factors of -3*335/(-75)*5?
67
Suppose -2*r + 372 = -0*r. Let l = r - 71. Suppose 3*k - 52 - 9 = w, w = -5*k + l. What are the prime factors of k?
2, 11
Let q be 1*(3 - 3 - -1). List the prime factors of -2 + -2 - (-59)/q.
5, 11
Suppose 0 = 2*s + d - 6*d - 168, 2*s = -4*d + 204. Suppose -19 = -3*v - s. Let x = v - -37. List the prime factors of x.
2, 3
Let j(d) = -d**3 - 4*d**2 - 4*d - 3. Let q be j(-5) | {
"pile_set_name": "DM Mathematics"
} |
e -2*g - 7 = -3*p, 0*g - l*p + 27 = 3*g. Solve -4*i + 6 = 8*s - 6*s, -9 = g*s + i for s.
-3
Suppose -30 = -5*o + 3*h, -6*h + 4*h = 5*o - 30. Let y be (-16)/o*(-9)/2. Let v be -3*8/y*-2. Solve -d = -3*z + 11, -5*z + 9 = -v*d - 0*d for d.
4
Suppose 2*w - 2*g = -3*w + 45, -w = -g - 12. Let m = w - 3. Solve -m*y + 3*r + 20 = -5*y, 0 = 2*y + 3*r + 25 for y.
-5
Let a = 141 - 142. Let b be (-3)/4 - (-1)/(-4). Let h = a - b. Solve -r = -4*x - 6*r - 10, x + 5*r - 5 = h for x.
-5
Let m(a) = -a**2 - 9*a + 11. Let y be m(-9). Suppose -y*d + 14*d - 9 = 0. Suppose r - d*r + 40 = 0. Solve 4*o - r = 0, 2*z + 2*o = o - 5 for z.
-5
Let z = 11 - 7. Let w = -7 - -16. Suppose 2*v + v - w = 0. Solve 3*x + v*d = x + z, 0 = -d for x.
2
Let p(n) = 13*n - 9. Let a be p(1). Solve -a*k = -4*f + 5*f - 21, -3*f = -k + 2 for f.
1
Suppose 0 = -12*z + 8*z - 2*g + 42, 2*z - g = 11. Solve 0 = -2*v + 4*d + z, -5*v - 4*d = -6*d + 4 for v.
-2
Let w(o) = -8*o + 13. Let k be w(6). Let i = -27 - k. Suppose -2*b + c + 41 = 4, -106 = -5*b - 2*c. Solve 2*s + i = 3*h, 0 = -5*s + 4*h - 0*h - b for s.
-4
Let v(d) = -d**3 + 2*d**2 + 8*d - 1. Let p be v(4). Let g = p + 7. Solve 2*c - 5*q = -g, 4*c = -q + 8 + 2 for c.
2
Let z(c) = c**2 + c - 36. Let l be z(0). Let r be (-2868)/l - 1/(-3). Let t = r + -45. Solve 5*j + 23 = w, 5*w - 4*j - t = j for w.
3
Suppose i = 4*a - 4, 3*i = -4*a + 2*a + 16. Suppose 3*w + a*w + 3*l - 19 = 0, 0 = -3*w + 2*l. Solve 5*b + 15 = k, b - 2*b = w for k.
5
Suppose -183*c + 181*c = -8. Solve -5*m - 2 = -2*s, -3*s + c = s for m.
0
Suppose -5*u + 17 - 62 = 0. Suppose -168 = -8*a - 4*a. Let h = a + u. Solve -h*m + 8 = -3*m, 16 = 5*w + 4*m for w.
0
Let f = -62 - -64. Solve 0 = -n + 3*o + f - 10, n - 2*o + 5 = 0 for n.
1
Let f(z) = z**2 + 2. Suppose 0 = -n + 3*n. Let h be f(n). Solve -9 = h*r - 1, -t + 13 = -4*r for t.
-3
Let r(z) = -z**3 - 21*z**2 - 2*z - 41. Let w be r(-21). Solve 4*j + w - 2 = -3*x, 2*j = x + 3 for j.
1
Let x(z) = z**3 + 71*z**2 - 74*z - 142. Let k be x(-72). Solve -4*v - 4 - 12 = 2*r, 2*v + 12 = -k*r for v.
-2
Let b = 7 + 12. Suppose -b = 7*n - 54. Solve 0 = 4*m + 2*f - 6, 0 = n*f - 25 for m.
-1
Let w = 119 + -113. Let d be (w/(-4))/((-18)/60). Solve u - i - 3*i = 13, d*i + 16 = u for u.
1
Suppose -5*d = 4*a - 86, -3*a - 2*d + 42 = -a. Solve 6*s + a = s + 4*v, -5*s - 18 = -3*v for s.
-3
Let d(b) = 5*b**3 + 3*b**2 - 3*b. Let a be d(1). Solve j - 5 = 2*y + 6*j, -2*y = -a*j - 25 for y.
5
Suppose -9*k - 17*k = -156. Solve m - 5*l = -k*l + 2, -1 = l for m.
3
Suppose 18*u = 25*u. Solve -4*y - 24 = -4*b, -4*y + u*b - 15 = -b for y.
-3
Let r(b) = -11*b + 82. Let h be r(7). Solve 3*i + 13 = h*t, 4*i + t - 7 = 9*i for i.
-1
Suppose 5*n = -4*h - 25, -7 + 19 = 4*n. Let y = h + -9. Let c = 23 + y. Solve 2*g + 0*g = v + c, -g - 9 = 5*v for g.
1
Let c = 890 - 888. Solve -2*u = -v + 1, -c*v = -0*v + 10 for u.
-3
Let f(l) = 10*l + 533. Let r be f(-53). Solve 24 = x - 5*u, -x + 4*u + 32 = r*x for x.
4
Let v = 161 - 161. Solve -8 = 4*g - v*g + 2*c, 0 = c + 4 for g.
0
Let k(y) = -y**2 + 54*y - 153. Let w be k(3). Solve -o - 3 = -2*g - w, 2*o + 5*g - 12 = 0 for o.
1
Suppose 4*v - 351 + 335 = 0. Solve 5*r + 7 = -3*m, v*m - r + 2 = -4*r for m.
1
Let z be ((-8)/12 + (-20)/6)*-16. Let t = 65 - z. Solve 5*y - 2 + t = -3*r, 0 = 4*r + y - 7 for r.
2
Suppose -5*k - n + 25 = 0, -2*k + 4*n + 4 = -6. Suppose -4*t + 0*g = -2*g - 34, k*t - g - 41 = 0. Solve -5 = 5*l, 2*c - 2 - t = 4*l for c.
3
Let h(s) = 2*s**2 + 3*s - 1. Let t be h(-2). Suppose 3*d + 7 = 5*g, d + t = -3*g + 8. Solve g*l - 5*f - 6 + 18 = 0, 5*l - f - 16 = 0 for l.
4
Suppose -4*h - 22 = -z, -2*h = -10*z + 7*z + 26. Solve x - z = 3*a, -3*x = -x + a + 9 for x.
-3
Suppose -2 - 2 = -2*s. Let m = s + 5. Let l(n) = n**3 - 7*n**2 + 2*n + 2. Let t be l(m). Solve 0*p = 4*y - 3*p + t, 0 = 5*y - 3*p + 17 for y.
-1
Suppose 311*d + 15 = 316*d. Solve -d*j + 5*a = 25, 0 = -5*j - 5*a + 2*a + 15 for j.
0
Let m be 16/2 + -3 + -1. Suppose 7 = 3*o + 1, 14 = 3*j - 5*o. Suppose 13*s - j*s = 40. Solve 0 = -m*b - 0 - 16, s = -4*q + 2*b for q.
-4
Let c(v) = -v + 39. Suppose q = 5*q. Let k be c(q). Let x be 169/k*1*3. Solve 2*t + 3*r + 10 = r, 5*t + r + x = 0 for t.
-2
Suppose 4*u - 3*x - 13 = 10, -3*u + 3*x = -21. Suppose a = 3 - 0. Suppose 2*b + 0*m + 1 = -a*m, -3*m = 9. Solve -4*o + u*p = 12, -b*o - 7*p = -3*p + 36 for o.
-5
Let k = -594 - -599. Solve 0 = -m + 3*j - 1, -2*j = -k*m - 4*j + 12 for m.
2
Let w(s) = -s**2 + 28*s - 184. Let x be w(16). Solve -x = 2*h + z + 3, 0 = -5*h + 3*z for h.
-3
Let g be -2*(-2)/(-3 - -1). Let x be ((-3)/(-9))/(g/(-18)). Solve 5*h - 4*a = x, 5*h - 2*a - 7 = 2 for h.
3
Let z = -25 + 16. Let r = z - -9. Suppose 5*h - 4*h - 6 = r. Solve -4*a = 4*m + 16, -2*a + h*a - 11 = 5*m for a.
-1
Let b = 39 + -35. Suppose s = b - 1. Suppose 0 = s*z - 9*z + 30. Solve -5*j + 7 = -2*h + h, -z*j = -4*h + 2 for j.
2
Let t = -331 + 333. Solve 2*h = -0*i + t*i, 4*i - 1 = 3*h for i.
1
Let o be 6/8 - (-1800)/32. Let u = -53 + o. Solve 3*d = -w - 12, 6*w - 32 = 2*w + u*d for w.
3
Suppose 35*w = 33*w + 4*s + 24, 0 = 4*w + s - 12. Solve -w*q - 5*a - 45 = 0, 4*a + 6 + 4 = 2*q for q.
-5
Suppose 0 = 83*k - 30*k - 1007. Solve m + k = -4*q, -4*m + 14 = -q - q for q.
-5
Suppose n + 5*t + 14 = 0, -3*t + 28 = 4*n + 16. Let z be 0 + (-3 - (-6 - -3)). Solve -3*a + s - 6 - 5 = z, 0 = 2*a - s + n for a.
-5
Let r be (42/(-42) - (-6)/1)*1. Solve -3*j = -m - 13, 10 = -r*j - 2*m + 39 for j.
5
Let u = 0 + 3. Let z = -15494 + 15498. Solve 5*w + 10 = -5*h, z*w + 4*h - u*h + 5 = 0 for w.
-1
Let s = -53 - -55. Solve 0 = -s*u + 3*b - 9, -b = -5*b + 12 for u.
0
Suppose -66*l + 154 = 22. Solve -k - 10 = -l*h + 6*h, -4*k = 8 for h.
-2
Suppose d + 33 = 4*r - 2*d, 4*r - 68 = -4*d. Suppose -15*q - r = -19*q. Solve -3*g = -9, 6 = -q*i + 5*g - g for i.
2
Let o(c) = 5*c + 84 + c + 4. Let z be o(-12). Solve -2*q = -5*a + 20, -2*q = 3*q - 4*a + z for q.
0
Let h(o) = -3*o + 4 + 5*o**2 - 5*o**2 - o - o**2. Let c be h(-4). Suppose -1 = k - c. Solve -k*g + 8*g = 2*n + 2, 5*g + 2*n + 2 = 0 for g.
0
Let m be (15/(-40))/(3/(-24)). Solve m*k - 5*v + 5 = -k, -3*v = 4*k - 35 for k.
5
Let m(t) = t**3 + 30*t**2 - 4. Let d be m(-30). Let l be (-4 - d)/((1 + 0)*-1). Solve l*u + r + 2 = -u, -u - 3*r - 12 = 0 for u.
3
Suppose u - 4 - 3 = 2*d, 4*u + 2*d - 18 = 0. Let h be 3*(-1)/(-3)*u. Solve h*l = 2*m - 1, 0*m - 2*m - 3 = -l for l.
-1
Let g(z) = -z**2 + 7*z - 10. Let f be g(3). Suppose -4*i - 4 = 2*s, -2*s - 2*i = -5*s + f. Solve 0 = -w - 2*m + 3, -w - 3*m + 5 = -s for w.
-1
Let y(u) = u + 1. Let j be y(3). Suppose -4*v + 5*v - 10 = j*a, 0 = -2*v - 3*a - 2. Solve 2*p - 3*q - 12 = -0*p, 4*p - v*q = 16 for p.
3
Let b = 4 - -47. Let k = -47 + b. Solve d = -3*q - 11, -4*q + 2*q = k for d.
-5
Let v = -30 - -32. Let k be 110/25 + v/(-5). Solve x = 3*x + 2, k*l + 16 = -4*x for l.
-3
Let z = 633 + -621. Suppose 4*y = y. Solve y*h + z = 2*h - 3*w, 5*h + w - 13 = 0 for h.
3
Let i be 4 + (-3 - -3 - 4). Suppose -5*h + 2*k - 6*k + 6 = 0, i = 2*h + k - 3. Solve 4*n - 1 = -h*c + 17, -3*n + 12 = 0 for c.
1
Let h = -1296 - -1299. Solve -a = h*f + 9, -2*f = 2*a - 0 + 2 for f.
-4
Let d = -8 + 13. Suppose -14 - 11 = -d*g. Let z = -3104 - -3106. Solve g*f + z + 8 = 0, 5*r - 29 = 2*f for r.
5
Let w(s) = 62*s - 121. Let l be w(2). Solve 4*f + 5 = l*p, 5*p = -15*f + 10*f - 15 for p.
-1
Suppose -2 = 9*j - 56. Solve -4*h + 19 = -s, 0 = -3*s + j*s - 3 for h.
5
Suppose 0 = b - 2 - 1. Suppose 5*x + 4*k - 38 = b*k, -5*x - 5*k + 30 = 0. Suppose t - x = -t. Solve 0 = t*z - 2*u - 7 - 5, 2*z + 3*u - 14 = 0 for z.
4
Let v(u) = -4*u**3 + u**2 + 7*u + 5. Let q be v(-2). Let y = q + -25. Solve 0 = -5*g - y*j + 23, 3*g = 4*g + 5*j - 23 for g.
3
Let g be (70/(-455) - (-30)/26) + 4. Solve 0 = 4*s - 3*v - 11 + 33, -5*s = -g*v + 30 for s.
-4
Suppose -2*v - 3 + 5 = 2*x, -3*x = -2*v - 23. Suppose 0 = -2*o + 73 - 61. Suppose -16*w + 17*w = o. Solve 36 = t + 5*m + w, 25 = x*m for t.
5
Let x(z) = -z**2 + 2*z + 1. Let f be x(4). Let k = f + 12. Let j(i) = i**3 + 6*i**2 - 9*i - 9. Let q be j(-7). Solve d + 3*n = -3 - 1, -q*n - 40 = -k*d for d.
5
Let g(f) = -f**2 - 3*f + 5. Let j be g(0). Let h be 2/(-7) - 300/(-21). Let u = -11 + h. Solve j*z + 14 = 3*r - 1, 4*r = -u*z + 20 for r.
5
Suppose 8*b - 9 = 5*b. Solve -3*w - 5*x = -w | {
"pile_set_name": "DM Mathematics"
} |
actor of b?
False
Let s be (-46)/(-14) - 2/7. Suppose 7*u = s*u + 72. Does 3 divide u?
True
Suppose 4*h = -5 + 1, -2*b + 4*h - 12 = 0. Does 3 divide 2*((-18)/b + (-3)/(-4))?
True
Let m = 81 - 130. Let c = m + 82. Let b = c + -16. Is 17 a factor of b?
True
Suppose -3*k - 10047 = -3*t, -58*k + 54*k + 10040 = 3*t. Does 62 divide t?
True
Suppose 33*h + 11664 = 39*h. Does 6 divide h?
True
Let h be 1 + (1 - 0)*(-1 - -4). Let s = h - -4. Is 8 a factor of s?
True
Let r(p) = 4*p**2 - 6*p + 4. Let s be r(2). Suppose -10*o + 214 = -s*o. Is o a multiple of 26?
False
Is 2754 + ((-32)/160)/((-1)/5) a multiple of 24?
False
Suppose 0 = -6*y + 8*y - 2. Let k(o) = -o**2 + o. Let s(b) = -b**3 + 9*b**2 + 3*b + 8. Let f(a) = y*s(a) - 3*k(a). Does 2 divide f(12)?
True
Let k be 82 - (0 + (0 - 1)). Suppose 4*d - 3*c = 288, -3*d - 2*c = -2*d - k. Is 8 a factor of d?
False
Suppose -29 - 34 = -3*l. Does 21 divide l?
True
Suppose 0 = -13*m + 18701 - 4232. Is 53 a factor of m?
True
Suppose 2*h = 10*h - 808. Does 19 divide h?
False
Let o(g) = 2*g**2 - 3*g - 4. Let z be o(3). Let w = 20 - z. Is w a multiple of 5?
True
Let z = -469 - -829. Is 40 a factor of z?
True
Suppose 0 = n + 2, 2*n = -5*a + 1737 - 296. Is a a multiple of 2?
False
Let v(i) = -33*i. Is 11 a factor of v(-13)?
True
Let k(r) be the first derivative of -r**4/4 + 4*r**3/3 - 3*r**2/2 - 2*r - 7. Let h be k(4). Does 3 divide (-38)/h - 10/(-35)?
True
Let x(d) = -23*d + 3. Suppose 3*j + n - 14 = 0, -3*n + 0 = -6. Let q be x(j). Let c = 143 + q. Is c a multiple of 17?
False
Suppose q = -2*q. Suppose 0*a + 5*a - 500 = q. Is ((-9)/2)/((-15)/a) a multiple of 8?
False
Suppose 0 = 5*s - s + 5*i - 7, 3*i = -3. Suppose -s*p = 2*p. Let l(k) = -k**3 + k**2 + k + 14. Is 14 a factor of l(p)?
True
Suppose 7*b + b - 24 = 0. Let m = 84 - 56. Suppose m = -b*p + 70. Is 8 a factor of p?
False
Let y(t) = -t + 1. Let r be y(-8). Let q = 14 - r. Suppose -116 = -q*c + c + u, 0 = c - 2*u - 22. Is c a multiple of 22?
False
Let y(i) = -i**3 + 26*i**2 - 21*i - 1. Let d be y(25). Suppose 12*l = l + d. Is l a multiple of 9?
True
Let g = 7 - 5. Suppose 21 = 3*f - g*f. Is 21 a factor of f?
True
Suppose -4*m + 0*m - 2*v - 312 = 0, 0 = -4*m - v - 316. Is 8 a factor of (m/12)/(-2)*(-96)/(-5)?
True
Suppose -6*q = -5*q - 5. Suppose 2*o = -2*n + 4*n + 96, -4*o - q*n + 237 = 0. Let a = o + -38. Is 3 a factor of a?
True
Suppose -21 = -k - 7. Let i(l) = l**2 - 9*l - 21. Is 12 a factor of i(k)?
False
Suppose -5 = 4*a - 25, -2*p = 3*a - 483. Is 18 a factor of p?
True
Suppose 2*m - 85 = -2*r - 41, r - 16 = 5*m. Let y(z) = 2*z - 4. Let c be y(3). Suppose -c*t + 3 = -r. Is 6 a factor of t?
True
Let w = 47 - 13. Suppose -2*o - 4 = -w. Is 29 a factor of 444/o*(-5)/(-2)?
False
Suppose -4*j = 5*r - r - 44, -6 = -2*r. Does 4 divide j?
True
Suppose -8612 = -5*l + s, 9943 = 4*l + 3*s + 3061. Does 12 divide l?
False
Suppose -13*l = -72*l + 1475. Is l a multiple of 5?
True
Let d(b) = b - 3. Let g be d(3). Suppose -2*s = -2*c + 4 + 14, g = 2*c + 3*s + 2. Suppose c*q = q + 156. Is q a multiple of 13?
True
Let h(j) = -j**2. Let w(n) = 2*n**2 + 7*n - 11. Let a(d) = -3*h(d) - w(d). Let x be a(9). Let l = x - 25. Is 4 a factor of l?
True
Let u = 8 + -5. Suppose 0 = -w + 4*z - 115, -u*w - 230 = 3*z + 40. Let f = -64 - w. Does 13 divide f?
False
Suppose 4*q - 20 + 0 = 0. Suppose -4*s + 100 = q*f + s, 36 = f + 5*s. Does 4 divide f?
True
Let p(i) = -124*i**3 - 3*i**2 + 9. Does 12 divide p(-2)?
False
Let m(d) = -64*d**3 + 6*d**2 - 3*d + 6. Let r(w) = -32*w**3 + 3*w**2 - w + 3. Let v(k) = -3*m(k) + 5*r(k). Is 23 a factor of v(2)?
False
Suppose -107 = 2*f - 505. Is f a multiple of 76?
False
Suppose -24*q = -12*q - 17136. Is q a multiple of 68?
True
Suppose 0 = -y + 2*v - 35, 0 = -y + 3*v - 0*v - 40. Let w = -19 - y. Is 14 a factor of ((-63)/2)/(w/(-16))?
True
Let l(h) = -h**2 - 7*h + 62. Is 8 a factor of l(-10)?
True
Suppose -4*c = 4*v - 20, 5*v - 3*c - 12 - 5 = 0. Suppose -i = 3*w - 4*i - 198, 300 = v*w + 5*i. Is 17 a factor of w?
False
Let c(k) = -6*k + 1. Let y be c(-4). Suppose 5 - y = 2*j. Let u = 67 + j. Does 33 divide u?
False
Suppose l - n + 8 = 0, -2*l - 3*n = -3*l - 18. Is 12 a factor of (2*5/l)/(1/(-24))?
False
Suppose -d + 230 = -6*d. Suppose -w = -3*s - 29, 4*w + s - 51 = -0*s. Let n = w - d. Is n a multiple of 15?
True
Does 8 divide (-18)/(905/(-150) - -6)?
False
Let c(v) = -3*v**3 - 28*v**2 - 11*v - 18. Let i be c(-9). Suppose -7*j + 1497 - 111 = i. Is j a multiple of 33?
True
Let o(a) = a**3 - 3*a**2 + 3*a - 5. Let c be o(3). Suppose c*r + 2*t = 130, t + 33 = r + 2*t. Is r a multiple of 8?
True
Suppose 4*k = -s + 816, 5*k + 2569 = 5*s - 1636. Is s a multiple of 76?
True
Let p(v) = 5*v**2 - 55*v - 39. Is 26 a factor of p(23)?
False
Is 42 a factor of (-96 - -12)*68/(-8)?
True
Let x(i) = -i**2 - 35*i - 36. Let p be x(-23). Suppose 0 = -3*o - 51 + p. Does 21 divide o?
True
Let n(j) = -2*j - 1. Let y be n(-3). Suppose -y*i - 50 = -0*i. Is -48*(-3 - i/4) a multiple of 8?
True
Let m(d) be the second derivative of 29*d**3/6 - d**2/2 + d. Let x(y) = -19*y + 1. Let l(f) = -5*m(f) - 7*x(f). Is 2 a factor of l(-1)?
True
Let h(b) be the third derivative of -5*b**4/8 + b**3 - 6*b**2. Is h(-3) a multiple of 17?
True
Suppose 3*i - 5*a - 5 = 0, 10 = 2*a + 3*a. Let r(h) = -h**3 + 5*h**2 + 2. Let m be r(i). Is 4 a factor of (13/m)/(2/4)?
False
Let a(v) = -v + 18. Let j be a(16). Suppose -i + 12 = -j*d, 38 = 2*i + i - 4*d. Is i a multiple of 14?
True
Let a be 6 - (-5)/((-5)/(-3)). Is 23/((a/(-2))/(-9)) a multiple of 6?
False
Let g(l) = 1. Let m(q) = -3*q - 36. Let w(u) = 66*g(u) + 2*m(u). Suppose -i + 4*k = 13, 22*i - 3*k + 16 = 20*i. Is 8 a factor of w(i)?
True
Let x(q) = -5*q**2 - 4*q - 4. Let p(b) = 2*b + 6. Let f be p(-4). Let d be x(f). Does 12 divide d/(-48)*3*12?
True
Suppose -4*q = -4*o - 4, -2*q + 6 = -0. Suppose 15 = 5*d, 4*d - 7*d = o*i - 117. Does 18 divide i?
True
Suppose 55 + 105 = 5*u + 5*m, u - 42 = 4*m. Does 34 divide u?
True
Let g be (-2)/(-5) - 103/(-5). Let n be 0/2 - -1 - (21 + -302). Does 12 divide n/g + 6/(-14)?
False
Suppose -b = -5*o - 5, 12 = -5*o + 2*b + 2. Suppose 5*y + 27 = t, -t + o*y - y = 3. Let r(l) = 21*l - 2. Is r(t) a multiple of 10?
True
Suppose 290*t + 866 = 292*t. Does 18 divide t?
False
Let k = 542 + -461. Is k a multiple of 7?
False
Let z = 24 + -18. Does 13 divide 1*81 + z + -9?
True
Suppose 0 = 10*k - 1012 - 1188. Is k a multiple of 10?
True
Let w = 12 - -12. Suppose 3*x + 8 = 20. Suppose w = x*p - 3*p. Is p a multiple of 13?
False
Is 6 a factor of (((-11781)/(-28))/(-33))/((-6)/376)?
False
Does 53 divide (4 + 5*84)*1?
True
Let j(m) = m + 30. Suppose 5*g = 5*p - 22 - 48, 0 = -2*g + 4. Is 9 a factor of j(p)?
False
Suppose -x + 3*w = -967, -5*x + 3*w - 7*w = -4892. Is x a multiple of 16?
True
Let h(t) = -2*t**3 + 5*t**2 + 45*t + 5. Is 15 a factor of h(-6)?
False
Let w(n) be the first derivative of -n**2 + 49*n + 6. Let t(k) = -k**3 - 5*k**2 + k + 5. Let h be t(-5). Is 13 a factor of w(h)?
False
Let q(h) = -h**3. Let z(c) = -3*c**3 - 7*c**2 - 9*c - 9. Let a(j) = 2*q(j) - z(j). Let i be a(-5). Suppose 0 = 18*w - i*w - 28. Does 5 divide w?
False
Suppose 0 = -3*o + 5174 - 1019. Does 18 divide o?
False
Suppose -d - 4 = 4*y + 3*d, -5*d - 8 = 4*y. Suppose -6*c - y*c = -1764. Does 14 divide c?
True
Is ((-2)/7)/(96/(-168))*7744 a multiple of 34?
False
Let v(f) = -f**2 + 29*f - 42. Let g be (-2)/3*(-92)/(-8)*-3. Is 12 a factor of v(g)?
True
Let w = -8 - -11. Suppose w*c - 6 = 102. Is (-277)/(-9) + 8/c a multiple of 19?
False
Is ((-660)/16)/((-10)/40) a multiple of 11?
True
Let m(q) = q**3 + q**2 - 4*q - 3. Let a be m(-2). Let i(o) = o - o + 0*o + 60*o**2. Is i(a) a multiple of 11?
False
Suppose 125*m = 129*m - 3840. Is 48 a factor of m?
True
Let a(x) = -2 + x**3 - 2*x**2 - 2 + 0 + 13*x**2 - 15*x. Does 8 divide a(-12)?
True
Let f(l) = 5*l**2 - l + 2. Let g be f(2). Let k be (g/5)/(2/3). Does 12 divide 51 - k*(-4)/(-8)?
True
Let w = 238 + -182. Is 8 a factor of w?
True
Suppose 0 = 3*s - 4*x - 725, -5*s + 2*x = -4*s - 243. Is s a multiple of 16?
False
Let p(d) = -d**2 + 6*d + 5. Suppose 4*c - n + 1 = 20, c + 4*n - 26 = 0. Let z be p(c). Suppose z*g - 75 = 5*m, -3*g - 5*m - 21 + 74 = 0. Does 8 divide g?
True
Let w = -1144 - -2096. Does 68 divide w?
Tr | {
"pile_set_name": "DM Mathematics"
} |
0*a**2.
-5*a**3
Collect the terms in -5167*m**2 - 5232*m**2 + 10354*m**2.
-45*m**2
Collect the terms in -51*f - 26*f + 32*f - 63*f - 2.
-108*f - 2
Collect the terms in 16476*p**3 + 5*p**2 - 5*p**2.
16476*p**3
Collect the terms in -22 + 15*o**2 + 0*o + 65 - 46 + 0*o.
15*o**2 - 3
Collect the terms in -8*m**2 + 11*m + 9*m**3 + 14*m**2 - 11*m - 7*m**2.
9*m**3 - m**2
Collect the terms in -x + 15*x**2 + 2083*x**3 + 3*x**2 - 18*x**2.
2083*x**3 - x
Collect the terms in -53*k**3 - 398 - 397 + 51*k**3 + 795.
-2*k**3
Collect the terms in 15443*f + 16285*f - 48902*f + 16298*f.
-876*f
Collect the terms in -33 - 29 - 25 + 20*v**2 + 84.
20*v**2 - 3
Collect the terms in -94*v + 3 + 5*v - 3.
-89*v
Collect the terms in -376*s**3 + 202*s**3 + 1134*s**3 + 101*s**3.
1061*s**3
Collect the terms in 27 - 1536*z + 760*z + 763*z.
-13*z + 27
Collect the terms in 1218*h**3 - 2444*h**3 + 1225*h**3 + 820*h**2.
-h**3 + 820*h**2
Collect the terms in -27826*f**2 + 55630*f**2 - 27837*f**2.
-33*f**2
Collect the terms in -1 + 1 + 76392*v.
76392*v
Collect the terms in 16*m**3 + 9 - 23*m**3 - 5 + m**3 - 4.
-6*m**3
Collect the terms in m**2 + 94*m**2 - 93*m**2.
2*m**2
Collect the terms in t**2 - 3*t - 12*t**2 - 17*t**2 + 22 - 2.
-28*t**2 - 3*t + 20
Collect the terms in 41*i + 19*i**3 - 62*i + 21*i.
19*i**3
Collect the terms in 6*s**2 + 6080*s + 9*s**2 - 20*s**2 - 6080*s.
-5*s**2
Collect the terms in 4*b**2 - 19 - 2*b + 46 + 24 - b**2.
3*b**2 - 2*b + 51
Collect the terms in -1683*g**2 + 3358*g**2 - 1675*g**2 + g**3.
g**3
Collect the terms in -27 + 28 - 51*l**3 + 2 - 3 + 4*l.
-51*l**3 + 4*l
Collect the terms in 4 - 15263*b**2 + 15263*b**2 + 6*b**3.
6*b**3 + 4
Collect the terms in 200*t**3 + 9*t**3 + 25*t**3.
234*t**3
Collect the terms in 398*z + 2*z**2 + 2*z**2 - 398*z + 2*z**2.
6*z**2
Collect the terms in -33 - 37 - 28 + 98 + 17*h.
17*h
Collect the terms in -494492 + 494492 - 15*b.
-15*b
Collect the terms in -681*f**2 + 3069*f**2 - 793*f**2 - 795*f**2 - 798*f**2.
2*f**2
Collect the terms in -920 + 459 + 857*i + 460.
857*i - 1
Collect the terms in -2609*c**3 - 239*c**3 + 2840*c**3.
-8*c**3
Collect the terms in -87*q + 0*q**2 + 0*q**2 - 714*q**3 + 87*q + 709*q**3.
-5*q**3
Collect the terms in 41 - 5*p + 14 - 10.
-5*p + 45
Collect the terms in 11*p**2 + 3*p**3 - p**2 - 10*p**3 + 0*p**2 - 2*p**2.
-7*p**3 + 8*p**2
Collect the terms in -88*y - 63*y + 45*y - 42*y.
-148*y
Collect the terms in -t**3 + 46 - 46 + 10*t**3 + t**3 + 0*t**3.
10*t**3
Collect the terms in -11*u + 45336497 - 45336497.
-11*u
Collect the terms in 20*k**2 + 17*k**2 + 13*k**2 + 13*k**2 - 2*k**3 - 63*k**2.
-2*k**3
Collect the terms in 3*m**2 - 2174 + 1078 + 1082.
3*m**2 - 14
Collect the terms in 68 + 64 - 72*h**3 - 132 + 174*h**3.
102*h**3
Collect the terms in 3484*d**2 - 1743*d**2 - d + d - 1729*d**2.
12*d**2
Collect the terms in 297*p**2 + 16626*p**3 - 149*p**2 - 148*p**2.
16626*p**3
Collect the terms in -445*h**3 + 775*h**3 - 2*h**2 + 6*h**2 - 6*h**2.
330*h**3 - 2*h**2
Collect the terms in 734*y**3 - 626*y**3 - 111*y**3.
-3*y**3
Collect the terms in -9150*t**3 - 37*t + 37*t + 1356*t**3.
-7794*t**3
Collect the terms in -20*d**2 + 10*d**2 - 5*d - 38*d**2 - 41*d**2.
-89*d**2 - 5*d
Collect the terms in -1 - 2 - 759*l**2 + 1.
-759*l**2 - 2
Collect the terms in 2*s**2 - 8*s**2 - s**2 - 1882*s**3 + 1880*s**3.
-2*s**3 - 7*s**2
Collect the terms in -68152*h**3 - 68131*h**3 + 136256*h**3.
-27*h**3
Collect the terms in 359*u**2 + 2*u**3 + 6*u**3 - 175*u**2 - 184*u**2.
8*u**3
Collect the terms in 2869 + 28*l**3 - 2869.
28*l**3
Collect the terms in -6 - 37*m**3 + 8 - 2 + 56*m - 58*m.
-37*m**3 - 2*m
Collect the terms in -16031 + 32026 + 8*s - 15994.
8*s + 1
Collect the terms in -735*w**3 - 738*w**3 + 1479*w**3.
6*w**3
Collect the terms in 51 - 28 + 12*m**2 - 2*m**2.
10*m**2 + 23
Collect the terms in 922*a**2 + 2*a + 923*a**2 - 1850*a**2.
-5*a**2 + 2*a
Collect the terms in 0*j**3 + 4879*j - 4*j**3 + 4*j**2 - 4879*j - 5*j**2.
-4*j**3 - j**2
Collect the terms in -15108*k + 15108*k + 338*k**3.
338*k**3
Collect the terms in 1102*f**3 - 48*f - 2195*f**3 + 8*f + 1097*f**3.
4*f**3 - 40*f
Collect the terms in -497 - 90*f**3 + 179*f**3 + 497 - 85*f**3.
4*f**3
Collect the terms in 35*m**3 - 9*m**3 + 91*m**2 - 4*m**3 - m**3.
21*m**3 + 91*m**2
Collect the terms in -613*j**2 + 1231*j**2 - 2*j**3 - 576*j**2.
-2*j**3 + 42*j**2
Collect the terms in 8*b - 591943659 + 591943659.
8*b
Collect the terms in -2*b**2 + 333*b - 661*b + 70*b**3 + 328*b + 4*b**3.
74*b**3 - 2*b**2
Collect the terms in 23*x**2 + 28*x**2 - 70*x**2.
-19*x**2
Collect the terms in 1 + 19*p**3 + 7 - 5*p**3 - 8 - 12*p**3.
2*p**3
Collect the terms in 1076*m**2 + 23*m + 33*m - 18*m + 9*m.
1076*m**2 + 47*m
Collect the terms in 90*l**2 + 87*l**2 + 17*l**2.
194*l**2
Collect the terms in 196739*r**3 - 98249*r**3 - 98494*r**3.
-4*r**3
Collect the terms in 58*y**2 + 4386 - 4386 - 11*y**2.
47*y**2
Collect the terms in 177492 - 177492 - 136*y**2.
-136*y**2
Collect the terms in -18 + 21 + 30 - 10*q + 0*q.
-10*q + 33
Collect the terms in -253*d**2 + 188*d**2 + 80*d**2.
15*d**2
Collect the terms in 5*d + 12*d - 19*d**3 - 17*d + 54*d**3.
35*d**3
Collect the terms in 32*t - 39 + 17 + 17.
32*t - 5
Collect the terms in -104*u**2 - 79*u**2 + 187*u**2 - 7.
4*u**2 - 7
Collect the terms in -j**3 + 15027*j**2 - 15027*j**2 + 0*j**3.
-j**3
Collect the terms in 1031945 + 1031949 - s**3 - 2063894.
-s**3
Collect the terms in 714*c - 2649 + 2649.
714*c
Collect the terms in -324 + 324 + 21*v**2.
21*v**2
Collect the terms in -9608 + 9608 + 844*p**2.
844*p**2
Collect the terms in 15758 - 15758 - 26*i.
-26*i
Collect the terms in 115*q**3 + 537*q**3 + 90*q**3 + 650*q**3.
1392*q**3
Collect the terms in -14*w + 17*w**2 - 159*w**2 - 19*w + 33*w.
-142*w**2
Collect the terms in -4 + 10 - 13*y + 1 - 4 + 0*y.
-13*y + 3
Collect the terms in -2*q**3 + 8*q**3 + 19831206*q - 19831206*q.
6*q**3
Collect the terms in 21 + 22 + 56*c - 39*c - 16*c.
c + 43
Collect the terms in 0*t**2 - 64*t + 17 + 6*t**2 - 50 + 64*t.
6*t**2 - 33
Collect the terms in -16*g**3 + 3*g**3 - 3*g**3.
-16*g**3
Collect the terms in -95 + 1394*w**2 + 95.
1394*w**2
Collect the terms in 7*m**2 + 43*m**2 - 12*m**2 - 23*m**2 - 16*m**2.
-m**2
Collect the terms in 155*o + 1741*o**2 - 10 - 155*o + 10.
1741*o**2
Collect the terms in v**3 + 23*v + v**3 - 8*v - 15*v.
2*v**3
Collect the terms in -98*l + 652*l**3 + 98*l.
652*l**3
Collect the terms in -18 - 5*u - 16 - 15*u + 34.
-20*u
Collect the terms in -6*s + 4330564257 - 4330564257.
-6*s
Collect the terms in 55*g**2 - 4*g + 0*g + 6*g + 2*g - 3*g.
55*g**2 + g
Collect the terms in 10187*p - 5142*p - 5046*p.
-p
Collect the terms in 13 - 9 + 339*c + 28*c - 3.
367*c + 1
Collect the terms in -1 - 55*n - 2 + 6 + 2 + 144*n.
89*n + 5
Collect the terms in 4*w - 1302955 + 1302955 - 9*w**2.
-9*w**2 + 4*w
Collect the terms in -617*b - 187 + 187.
-617*b
Collect the terms in -2*a**2 - 23*a**2 - 51 + 7*a**2 + 50 - 11*a**2.
-29*a**2 - 1
Collect the terms in 8*f**2 + 3*f**2 - 11*f**2 + 11 - 42*f**3 - 4.
-42*f**3 + 7
Collect the terms in -11*n**3 + 24*n**3 - 12*n**2 + n**3 + 12*n**2 - 17*n**3.
-3*n**3
Collect the terms in -772*v + 1285*v + 1300*v.
1813*v
Collect the terms in 2*z**2 - 831*z + 1458*z - 627*z.
2*z**2
Collect the terms in -93*l - 90*l - 91*l - 99*l + 456*l - 82*l.
l
Collect the terms in -15 - 122*f**3 + 32*f**3 - 192*f**3.
-282*f**3 - 15
Collect the terms in -2*k + 5 + 57*k**2 - 24*k**2 - 21*k**2 + 19.
12*k**2 - 2*k + 24
Collect the terms in -48*z**3 + 124*z**3 - 11*z**3 - 8*z**3 - 27*z**3.
30*z**3
Collect the terms in 1330*m - 2709*m + 1371*m.
-8*m
Collect the terms in 30 - 117 - 67 + v**2 + 20 + 3*v.
v**2 + 3*v - 134
Collect the terms in 5*x**2 + 6*x - 223 - 3*x - 3*x.
5*x**2 - 223
Collect the terms in -16*i + 158*i - 148*i.
-6*i
Collect the terms in -785*q**2 + 213*q**2 + 267*q**2.
-305*q**2
Collect the terms in 20*a**2 - 50*a - 8*a**2 - 19*a**2 - 4 - 5*a**2.
-12*a**2 - 50*a - 4
Collect the terms in 5905 - 5905 + 30*s.
30*s
Collect the terms in 15*a**2 + 12*a**2 - 21*a**2 + 8*a**2.
14*a**2
Collect the terms in 0*i**2 + 5735*i**3 - i**2 + 2*i**2 + 3*i**2.
5735*i**3 + 4*i**2
Collect the terms in -9*b - 50*b + 59*b + 16*b**3.
16*b**3
Collect the terms in 10 - 6 - 7*x + 5 - 9.
-7*x
Collect the terms in -2*w**2 + 2*w**2 - | {
"pile_set_name": "DM Mathematics"
} |
h(w) = -w**3 + 6*w**2 + 4*w + 2. Give h(r).
26
Let q = -4 + 9. Let s(n) = -3 + q - 6 + 5*n + 2*n**2 + 5. Calculate s(-4).
13
Let q(m) = m + 11. Let v be -12*(3/(-2))/((-9)/(-3)). Suppose 0 = 2*p - 3*s + 16, p + s + v + 2 = 0. Determine q(p).
3
Let l be (-2)/(-6) + 40/6. Let t(p) be the third derivative of 0 + 1/4*p**4 + 4/3*p**3 - 6*p**2 + 0*p - 1/60*p**5. Determine t(l).
1
Let c(p) = -p**2 - 19*p - 38. Suppose 15*w + 105 = -150. Give c(w).
-4
Suppose 0 = 5*f + 25, -2*o + 5 + 15 = -4*f. Let h(s) = s**2 + 4 + 0 + o*s**2. Calculate h(0).
4
Let k be 5/(-1 - (2 + -2)). Let d = -1 + k. Let w(a) = 4*a**2 - 3*a**2 + 2 + 8*a - 2*a. What is w(d)?
2
Let c = 38 - 33. Let g(v) = -v**2 + 8*v - 6. Let q(o) = o**2 - 9*o + 7. Let u(p) = c*q(p) + 6*g(p). Determine u(4).
-5
Suppose -3*j - 3*v + 17 - 44 = 0, -3*j - 22 = -2*v. Let t(y) = -y**2 - 10*y - 11. Determine t(j).
5
Suppose 2*w - 3*o = 2, 2*o = -2*w - 1 - 7. Let u(j) = -j**3 - 2*j**2 + 2. What is u(w)?
2
Let y = -100 - -100. Let f(d) be the first derivative of -8*d - 1/3*d**3 - 2 + 1/2*d**2. What is f(y)?
-8
Let w = 3 + -9. Suppose 4*y = -4*m + 3 - 11, 4*m + 5*y = -13. Let u(z) = -6 + z**2 - 8*z**2 - 6*z + 0*z - z**m. Determine u(w).
-6
Let m(j) = 4*j**2 - 2*j + 9. Let q(b) = 3*b - 4. Let x be q(3). Suppose -3*n - 4 = -1. Let t(i) = i**2 - i + 1. Let k(o) = n*m(o) + x*t(o). What is k(3)?
-4
Let m(i) be the second derivative of 1/12*i**4 + 0 - 1/20*i**5 - 3/2*i**2 + 1/3*i**3 - 10*i. What is m(3)?
-15
Let y(n) = -n**2 + n - 2. Suppose -3*a - r = -70, 4*r + 80 = -a + 4*a. Let f be (-4)/a + 58/(-12). Let k = -5 - f. What is y(k)?
-2
Let y(t) = -3*t**2 + t**2 + 2 + 6*t**2. Let u = 396 - 398. What is y(u)?
18
Let l = 143/2 + -70. Let g(h) be the first derivative of -6 - l*h**2 - 2*h. Determine g(-4).
10
Let w = -4039 + 4043. Let z(i) = -i**3 - 3*i**2 + 6*i**2 - 1 - i + 2. Determine z(w).
-19
Let f(b) be the third derivative of -b**7/2520 - b**6/180 + b**5/20 - b**4/8 - 18*b**2. Let w(t) be the second derivative of f(t). Calculate w(-5).
1
Suppose 18*j = 73 - 19. Let q(w) be the first derivative of -5/2*w**2 + j*w + 1 - 1/3*w**3. What is q(-6)?
-3
Let c(p) = -p - 2. Let b(r) = 2*r**3 + 20*r**2 + 22*r + 29. Let d be b(-9). Give c(d).
5
Let n(t) be the first derivative of -t**2 - 3*t - 247. Calculate n(9).
-21
Let j be 15/(-2)*(84/10 + -8). Let d(k) = -3*k**2 - 2*k - 2. Give d(j).
-23
Let l(u) = -7*u - 2 + 2*u**2 + 3*u**2 - 2 + u**3. Let z(r) = -2*r - 18 + 63 - 13. Let f be z(19). Calculate l(f).
2
Let r(m) = -m**2 + 7*m + 6. Let t be r(-2). Let y(q) = q + 10. What is y(t)?
-2
Let d(i) be the second derivative of -5*i**3/6 - i**2 + 2*i. Let a = -99 + 97. Calculate d(a).
8
Let h(f) = -6*f + 42. Let r be h(6). Let o(v) be the first derivative of -v**4/24 + 2*v**3/3 + v**2 + 1. Let d(j) be the second derivative of o(j). Give d(r).
-2
Let h(z) = z**2 + 3*z - 6. Suppose -4*f = k - 10, 3*k = -k + 2*f - 32. Give h(k).
12
Let p(t) = 5*t**3 + 53*t**2 + 51*t - 61. Let c(n) = -2*n**3 - 18*n**2 - 17*n + 20. Let d(r) = -8*c(r) - 3*p(r). What is d(16)?
7
Let b = 35 + -36. Let v(t) = 2*t - 3. Let o(p) = 1. Let d(h) = b*v(h) - 2*o(h). What is d(1)?
-1
Let c(p) = -p**3 + 12*p**2 - p + 17. Suppose -3*y = 3*v - 51, 2*y + 39 = 2*v + 5*y. Determine c(v).
5
Suppose -5*j = 160 - 185. Let r(p) = -p**3 + 4*p**2 + p + 1. Calculate r(j).
-19
Let u(r) be the third derivative of 0 + 0*r**3 - 14*r**2 + 0*r - 5/12*r**4. Let k(n) = n**2 - 2*n + 1. Let d be k(2). Determine u(d).
-10
Let t(n) = -3. Let i(p) = 10. Let q(x) = 3*i(x) + 12*t(x). Let h(j) = j**2 - j + 5. Let a(o) = -3*h(o) - 2*q(o). Determine a(2).
-9
Let y(c) = -c + 10. Let j = -788 + 798. Give y(j).
0
Let c(i) = -6 + 3 + 7 + i + 1 - 3. Calculate c(-2).
0
Let c(h) = h**2 - 7*h - 1. Let t be c(8). Let j(x) = x**3 - 8*x**2 + 7*x + 5. Let p be j(t). Let a(q) = q**2 - 5*q - 7. What is a(p)?
-7
Let o = -1634 - -1633. Let h be (-156)/(-27) - (-2)/9. Let g(v) = 0*v + 5*v - 7*v - h*v - 1. Determine g(o).
7
Let o(p) = -p**2 + 3*p - 10. Let l(a) = -a**2 + 31*a - 221. Let q be l(19). What is o(q)?
-38
Let j(z) = -z**2 - 6*z + 3. Let i(t) = -t**3 + 10*t**2 + 2. Let o be i(10). Calculate j(o).
-13
Let s(l) = -2*l + 2. Let f = 131 + -187. Let n be (-6)/15 - f/(-35). Give s(n).
6
Let h(v) = -v**3 - 5*v**2 + 10*v + 9. Let c be ((-2)/6)/(11 - (-2300)/(-210)). Calculate h(c).
37
Let l(p) = p + 11. Let r = 10 + -15. Let h be l(r). Let c(w) = -w**3 - h - 1 + 2*w + 0 + 1 + 6*w**2. Determine c(6).
6
Let o(v) = 3*v**2 + 7*v - 9. Let t = -30 + 31. Let l(w) = -w**2 + 1. Let b(m) = t*o(m) + 4*l(m). Give b(7).
-5
Let v(l) be the third derivative of 0*l - 5/6*l**3 - 9*l**2 + 0 - 1/60*l**5 + 1/4*l**4. Let n = 2 + 4. Give v(n).
-5
Suppose 0 = 3*z + 62 + 142. Let x = -79 - z. Let t(l) = -l - 6. Determine t(x).
5
Let g(m) = -6*m + 1. Let x be 20*(1 - (-14)/(-8)). Let h be (-2)/(-7) - x/21. What is g(h)?
-5
Let f(w) = -w**2 - 27. Let v be 0/((-2)/((20/3)/(-10))). Calculate f(v).
-27
Suppose -5*j - t + 18 = 0, 0 = -5*j + 7*t - 6*t + 22. Let l(b) be the second derivative of -8*b + 0 + b**3 + 1/12*b**j + 0*b**2. Give l(-6).
0
Let i be (-3)/9 + 13/3. Suppose 3*z + 5*t = 2, -i*z - 2 = -3*z + 3*t. Suppose -31 = z*g - 15. Let c(x) = x**2 + 3*x - 3. Calculate c(g).
1
Suppose 4*b = -8 - 8. Let s(d) = -6*d + 7. Let h(j) = 1. Let k(c) = -5*h(c) + s(c). What is k(b)?
26
Suppose v - 2*f + f + 13 = 0, 49 = -5*v - 3*f. Let l(a) = -a**2 - 12*a - 13. Let c be l(v). Let k(j) = 7*j + 2. Calculate k(c).
-12
Let q(o) = o**3 + 2. Let w be q(0). Let m(d) = -14 - 13*d + 28*d - w - d**2 - 14*d. What is m(0)?
-16
Let q be 24/(-16)*(-4)/(-6). Let f(n) = 4*n**3 - 4*n**2. Let s(m) = -m**3 + m**2. Let a(j) = 2*f(j) + 7*s(j). Give a(q).
-2
Let u(n) = n**3 - 4*n**2 - 4*n - 5. Let g be u(5). Let z(y) = -y - 4 + 0*y + g*y. Suppose 8*o - 3*o - x - 3 = 0, 3*o + 6 = -2*x. Determine z(o).
-4
Let x(v) = -10. Let s(r) = -3*r**2 + 47*r - 19. Let a(y) = s(y) - 4*x(y). Determine a(16).
5
Let q be -2 - (-4 - (-6)/2). Let v be (-12)/(-8) + q/(-2). Let o(s) = 5 - 3*s**v + 2*s**2 - 9 - 2*s. Calculate o(-3).
-7
Suppose 2*a - 3*f - f = 26, -2*a - 1 = 5*f. Let d be (-26)/(-8) - (-7)/(-28). Let k(p) = 0*p**3 + 4 - p**d + 2*p - 6*p**2 - 11*p + 2*p**3. Determine k(a).
-10
Suppose 3 = -19*s + 20*s. Let j(u) be the first derivative of 2*u**3/3 + u**2 - 4*u - 1. Give j(s).
20
Let o(w) = -3*w - 1 - 6 + 1 - 5. Determine o(9).
-38
Let n(r) = -125*r + 252*r - 126*r + 3. What is n(-2)?
1
Suppose -5*o = -4*f - 46, 3*o - 45 = -2*o + 5*f. Let d = -6 + o. Let i(l) = -1 + 3 - 2 - 4 + l. Calculate i(d).
0
Let f(p) be the third derivative of -6*p**2 - 1/24*p**4 + 0 + 0*p**3 + 0*p + 7/60*p**5. What is f(1)?
6
Suppose -1 = 3*t - 13. Let a = t - 2. Let r(h) = 3*h + 2*h + a*h - 4*h - 8. What is r(6)?
10
Let a(d) = -2*d**2 + 3*d - 5. Let s be a(2). Let i(x) = 3 + 9*x + 0 - x**2 + 0*x**2 + 2*x**2. Determine i(s).
-11
Let p(q) = -q**3 + 4*q**2 + 2*q + 2. Let j be (-3)/(-4)*(11 - 78/18). Give p(j).
-13
Let v be 54/10 - 2/5. Let q(m) = 4*m - 5 - 268899*m**2 + 268898*m**2 + 2*m. Calculate q(v).
0
Let p(f) = f**2 + 15*f + 3. Let k(l) be the third derivative of -l**5/20 - 11*l**4/6 - 5*l**3/3 - 11*l**2. Let h(n) = -6*k(n) - 17*p(n). Calculate h(-7).
-5
Suppose 7*t - 3*y - 22 = 11*t, -2*y = -4*t - 12. Let h(m) = -m**2 + m + 1. Calculate h(t).
-19
Let u = 2 - 0. Suppose -4*j = 4*r - 8, u*r - 5*r = 4*j - 10. Suppose 0 = j*p + 5*o - 34, 5*p - 5*o - 2 - 18 = 0. Let b(n) = -n**2 + 8*n - 9. Calculate b(p).
3
Suppose 7*j - 12*j + 20 = 0. Suppose -j*i = -11*i + 35. Let s(q) = q + 1. Let g(n) = n**2 + 2*n - 4. Let h(f) = g(f) - 3*s(f). Give h(i).
13
Suppose -u - 85 = 4*u. Let h = 17 + u. Suppose -3*y + 20 - 8 = h. Let o(c) = -c + 5. Give o(y).
1
Let r(w) = -w**3 + 2*w**2 + 4*w. Let d(k) = k**2 - 7*k + 9. Let f be d(9). Suppose f = 28*z - 19*z. Calculate r(z).
3
Let i(q) = -34*q - 212. Let z be i(-6). Let y(b) = -b**3 - 9*b**2 - 9*b - 8. What is y(z)?
0
Suppose -11*s + 58 + 349 = 0. Suppose -n + 5*d + s = -3*n, -3*n - d - 23 = 0. Let y(p) = -p**3 - 7*p**2 - 4*p + 7. Give y(n).
-5
Let o(c) = -c - 13. Suppose 0 = 4*k + 21 + 3. Let p(y) = 1. Let u(j) = k*p(j) - o(j). Let b(m) = -m**3 + 9*m**2 - 8*m - 5. Let d be b(8). Give u(d).
2
Let c(s) = -s**2 + 16*s - 18. Suppose 2*h = 4*n - 58, n + 8*h - 4*h = 19. | {
"pile_set_name": "DM Mathematics"
} |
-0.5, 1
Sort -1/157, -1, 3, 0 in ascending order.
-1, -1/157, 0, 3
Sort -0.07, -1/2, 2/11, -11 in descending order.
2/11, -0.07, -1/2, -11
Put 2, 3, -12, -0.1, -0.04 in ascending order.
-12, -0.1, -0.04, 2, 3
Sort 2, -1, 4, 283, -5 in ascending order.
-5, -1, 2, 4, 283
Sort 16, 2, 4, -3 in ascending order.
-3, 2, 4, 16
Sort -1, -6, 34, 3 in decreasing order.
34, 3, -1, -6
Put -0.1, 0, 2.9, -2 in decreasing order.
2.9, 0, -0.1, -2
Sort 1.3, -1/8, -1/4, -1.
-1, -1/4, -1/8, 1.3
Put 4, -1, -5, -2 in decreasing order.
4, -1, -2, -5
Put -1, 4, -2/11, -605/8 in ascending order.
-605/8, -1, -2/11, 4
Put -3, -22, 26, -2, -1 in ascending order.
-22, -3, -2, -1, 26
Sort -1/3, -2, 71, -3/4 in descending order.
71, -1/3, -3/4, -2
Sort 93, -2/5, 4, -1 in descending order.
93, 4, -2/5, -1
Sort 2, 11, 1, 3 in decreasing order.
11, 3, 2, 1
Put 8, 52, 2 in descending order.
52, 8, 2
Sort 9/4, 0.131, 3.
0.131, 9/4, 3
Put 5, -5/4, -1/4, 0.019, -3/4 in increasing order.
-5/4, -3/4, -1/4, 0.019, 5
Sort 0.03, -56, 0.
-56, 0, 0.03
Put 4, -154, -5 in decreasing order.
4, -5, -154
Sort 5, -0.01, -0.26, 4 in descending order.
5, 4, -0.01, -0.26
Sort -22, -2, -5, 1.
-22, -5, -2, 1
Sort -2, 5, 1, -5 in descending order.
5, 1, -2, -5
Sort -1, 4, 22, -2, 0 in descending order.
22, 4, 0, -1, -2
Put 89, 1, 3 in ascending order.
1, 3, 89
Sort 2/5, 2, 92, 1, -5 in decreasing order.
92, 2, 1, 2/5, -5
Put -4, -8/97, 3 in decreasing order.
3, -8/97, -4
Sort -4, 16, -1, 5 in increasing order.
-4, -1, 5, 16
Sort 5, -1.8, -0.2 in descending order.
5, -0.2, -1.8
Sort -14, 5, 1 in decreasing order.
5, 1, -14
Sort -4, -2, 3, -430 in descending order.
3, -2, -4, -430
Sort 0.02, -1/4, -27, 1/3 in descending order.
1/3, 0.02, -1/4, -27
Put -0.5, 14/379, -2/19 in increasing order.
-0.5, -2/19, 14/379
Put -6, 1, 0, 38 in increasing order.
-6, 0, 1, 38
Sort 5, 3, -114.
-114, 3, 5
Put -3/5, -48, -2/3, 8 in increasing order.
-48, -2/3, -3/5, 8
Sort -0.2, -191, 2, 2/9, 0.3.
-191, -0.2, 2/9, 0.3, 2
Put -70, 18, -2 in descending order.
18, -2, -70
Sort -7, -5, 1 in ascending order.
-7, -5, 1
Sort -3, 1, 21.
-3, 1, 21
Sort -3, 4, -67 in descending order.
4, -3, -67
Put 595, 1, -2 in increasing order.
-2, 1, 595
Sort -20, -3, -1, -0.1 in descending order.
-0.1, -1, -3, -20
Put 5, -3, -71, -5 in decreasing order.
5, -3, -5, -71
Sort -2/21, 0.03, 1, 1/2.
-2/21, 0.03, 1/2, 1
Put -5, 1, 591 in ascending order.
-5, 1, 591
Put 1, 1/3, 7, 20, -2 in descending order.
20, 7, 1, 1/3, -2
Sort -1/7, -185, 2.
-185, -1/7, 2
Put 12, 5, -19, 3/5 in increasing order.
-19, 3/5, 5, 12
Sort -2/5, -1/3, 20.6 in descending order.
20.6, -1/3, -2/5
Sort 0.6, -8/5, -1, 2 in ascending order.
-8/5, -1, 0.6, 2
Put -5, -150, -4, 4 in decreasing order.
4, -4, -5, -150
Put 1/5, 0.4, 1/7, 67, 3 in descending order.
67, 3, 0.4, 1/5, 1/7
Put -11, 2, 0 in decreasing order.
2, 0, -11
Put -2, -1, -28 in decreasing order.
-1, -2, -28
Put 10, -1, 1, -9 in descending order.
10, 1, -1, -9
Sort -5, -5003, -4.
-5003, -5, -4
Sort -1, -0.05, -0.5 in decreasing order.
-0.05, -0.5, -1
Put 0, 2, -520 in ascending order.
-520, 0, 2
Sort -5, 0.4, -0.03.
-5, -0.03, 0.4
Sort 0.5, 42, -0.4, 2/3, 6/31 in ascending order.
-0.4, 6/31, 0.5, 2/3, 42
Put -238, -3, -5, 2/3, -4 in increasing order.
-238, -5, -4, -3, 2/3
Put -3.93, 1/3, 4 in decreasing order.
4, 1/3, -3.93
Sort -1, 6, 5, 10.
-1, 5, 6, 10
Put 47, -4, 6 in increasing order.
-4, 6, 47
Sort 190/13, -2, -3 in increasing order.
-3, -2, 190/13
Sort 0.04, 0.2, -1/2, 0.3 in increasing order.
-1/2, 0.04, 0.2, 0.3
Sort 2.4, 4, 6 in decreasing order.
6, 4, 2.4
Put 2, -3, -1/2, -4/3 in ascending order.
-3, -4/3, -1/2, 2
Put 0, -2, 163 in descending order.
163, 0, -2
Put -3, -2, 2, -4 in descending order.
2, -2, -3, -4
Put -5, -1, 22 in descending order.
22, -1, -5
Sort 19, 5, -9, 4.
-9, 4, 5, 19
Sort 3, -2/15, 0.1, 0.3, 13/5 in decreasing order.
3, 13/5, 0.3, 0.1, -2/15
Put 1, -0.42, -5, 4 in increasing order.
-5, -0.42, 1, 4
Put 3, 1, -7, 765 in descending order.
765, 3, 1, -7
Sort 11, -3, 0, -2 in descending order.
11, 0, -2, -3
Sort 40, -3, -12.
-12, -3, 40
Put -5, -4/9, -65, -2/3 in ascending order.
-65, -5, -2/3, -4/9
Put 1, 2, 5, 10, -51 in descending order.
10, 5, 2, 1, -51
Sort -8, 3, -2/7.
-8, -2/7, 3
Put -1, -0.1, 2/13, 3 in increasing order.
-1, -0.1, 2/13, 3
Put 1/5, -9, 4, -3 in increasing order.
-9, -3, 1/5, 4
Sort 13, 52, 1.
1, 13, 52
Put 2/175, 0.3, 0.5, 0.039 in decreasing order.
0.5, 0.3, 0.039, 2/175
Sort -4/35, 1/2, 2/3 in decreasing order.
2/3, 1/2, -4/35
Sort 0.5, 207, -2/5 in descending order.
207, 0.5, -2/5
Put 8, 0, -164, -2 in ascending order.
-164, -2, 0, 8
Sort 2, -4, 3, 0, -516.
-516, -4, 0, 2, 3
Put 4, 2, -12, -5 in increasing order.
-12, -5, 2, 4
Sort -0.1, 2/5, -6/11, 3 in increasing order.
-6/11, -0.1, 2/5, 3
Sort 2, -0.04, -7, -4.
-7, -4, -0.04, 2
Sort -1, -16, 0, -4 in descending order.
0, -1, -4, -16
Put 4, 0.5, -4, 5 in ascending order.
-4, 0.5, 4, 5
Put -4, -106, 1, -1, 8 in decreasing order.
8, 1, -1, -4, -106
Sort 69, 2, -5, 0.
-5, 0, 2, 69
Sort 0.03, 1, 0.11 in ascending order.
0.03, 0.11, 1
Put 1/5, 4, -0.5, 1/52, -19 in decreasing order.
4, 1/5, 1/52, -0.5, -19
Sort -0.3, -0.5, 3, 240, -5.
-5, -0.5, -0.3, 3, 240
Put 0, 2, -5, -4, 4 in decreasing order.
4, 2, 0, -4, -5
Put -3, -6, -6/7 in ascending order.
-6, -3, -6/7
Put 2, -5, -9, 4 in ascending order.
-9, -5, 2, 4
Put -5, -2, -1, -3 in decreasing order.
-1, -2, -3, -5
Put -4, -0.5, 0.7, 6 in increasing order.
-4, -0.5, 0.7, 6
Sort 0, 5/4, 707, -0.2 in descending order.
707, 5/4, 0, -0.2
Sort 34.4, 3, -1/3 in decreasing order.
34.4, 3, -1/3
Sort 0.03, 2, -7, 4/5 in descending order.
2, 4/5, 0.03, -7
Sort 1, 234, -5 in descending order.
234, 1, -5
Put 5, -2, -4, 55, -6 in decreasing order.
55, 5, -2, -4, -6
Sort -4, -3113, -5.
-3113, -5, -4
Put -2, -4/3, -20, 2 in ascending order.
-20, -2, -4/3, 2
Put -50, -1, 2, -2, -3 in increasing order.
-50, -3, -2, -1, 2
Sort 2, -2, -368 in ascending order.
-368, -2, 2
Put 1/27, 0.5, 2 in ascending order.
1/27, 0.5, 2
Sort 2, -10, -15, -1 in ascending order.
-15, -10, -1, 2
Sort 1/6, 4/7, 1, -7 in decreasing order.
1, 4/7, 1/6, -7
Put -1, 3, 0, 10 in descending order.
10, 3, 0, -1
Sort -7, -2, -4, 3.
-7, -4, -2, 3
Put 125, -2, 7 in ascending order.
-2, 7, 125
Put 0, -49, 10 in increasing order.
-49, 0, 10
Sort -4, -7, 5, 2.
-7, -4, 2, 5
Sort 1/2, -1/6, 2.
-1/6, 1/2, 2
Put -3/7, -0.51, 4, 0.2, -0.04 in descending order.
4, 0.2, -0.04, -3/7, -0.51
Put 118, 1/9, -1/3 in descending order.
118, 1/9, -1/3
Put -2/15, -1, 1, 4 in descending order.
4, 1, -2/15, -1
Put 2, -4, 25, -16 in ascending order.
-16, -4, 2, 25
Sort 23, -4, 32 in descending order.
32, 23, -4
Sort 8, 6, 3.
3, 6, 8
Sort 28, 2, -0.5.
-0.5, 2, 28
Put 2, -5, 2/3, -26 in decreasing order.
2, 2/3, -5, -26
Sort 28/5, -0.5, 30 in descending order.
30, 28/5, -0.5
Sort 789, 3, 5/3 in decreasing order.
789, 3, 5/3
Sort 5, 8/13, 0, -5.
-5, 0, 8/13, 5
Put -3/5, -8, 3, -1/37 in descending order.
3, -1/37, -3/5, -8
Sort -4/5, 1, 2/19, -7.
-7, -4/5, 2/19, 1
Put 2/5, -4/9, -40, -0.3 in increasing order.
-40, -4/9, -0.3, 2/5
Sort -657, 2, 1, 0.2 in decreasing order.
2, 1, 0.2, -657
Sort 0.5, -196.5, 3/4 in descending order.
3/4, 0.5, -196.5
Sort 3313, 5, -4, 1, -2 in descending order.
3313, 5, 1, -2, -4
Sort -2/7, -115/2, 2/3 in descending order.
2/3, -2/7, -115/2
Sort 23, 2, 9, 5, -1 in ascending order.
-1, 2, 5, 9, 23
Sort 0, -25, 2/5 in decreasing order.
2/5, 0, -25
Sort 0, 51, 11 in descending order.
51, 11, 0
Put 22, 5, -11 in descending order.
22, 5, -11
Put -4, 0, 13, 1, -32 in decreasing order.
13, 1, 0, -4, -32
Sort -1/51, 0.5, -2/9 in descending order.
0.5, -1/51, -2/9
Put -34, -3, -4, -2 in ascending order.
-34, -4, -3, -2
Sort -3, 0.3, -2/53 in ascending order.
-3, -2/53, 0.3
Put -5, 27, 6, 2 in decreasing order.
27, 6, 2, -5
Put -54, -4, 5, 33 in decreasing order.
33, 5, -4, -54
Sort 4, 2, 22, -11 in decreasing order.
22, 4, 2, -11
Sort -3, -60, -4, -5 in descending order.
-3, -4, -5, -60
Sort 5, 25, -22, 1 in decreasing order.
25, 5, 1, -22
Put -4, -0.6, 8 in descending order.
8, -0.6, -4
Put 2, 0, -26, 3 in increasing order.
-26, 0, 2, 3
Sort 23, -2, -0.5.
-2, -0.5, 23
Sort 1, -7, 4 in increasing order.
-7, 1, | {
"pile_set_name": "DM Mathematics"
} |
Let k = 11 - 4. Let w(j) = -j**2 + 9*j - 3. Let u be w(k). Let x(y) = 2*y**2 + 3*y**2 - 4*y - 3 - 1. Let i(q) = 14*q**2 - 11*q - 11. Give u*x(h) - 4*i(h).
-h**2
Let v(q) = q**3 + 5*q**2 - 5. Let y(k) = -k**2 - 4. Let z(j) = 1. Let s(n) = 2*y(n) + 10*z(n). What is -5*s(d) - 2*v(d)?
-2*d**3
Let n(j) = 25*j**3 - 2*j**2 - 2*j - 2. Let z(t) = 74*t**3 - 7*t**2 - 7*t - 7. What is 7*n(d) - 2*z(d)?
27*d**3
Let a(c) = 2*c. Suppose 2*r - j = 0, 4*j - 33 = -3*r - 11. Let x(z) be the first derivative of 1/2*z**r + 4 + 0*z. What is a(u) - x(u)?
u
Let q(w) = -w - 6. Let v(f) = 2*f**2. Let g(n) = n**2 - n. Let c(j) = g(j) - v(j). What is -c(z) + q(z)?
z**2 - 6
Let z(t) = 85*t**3 - 84*t**3 + 1 - 3 + 4*t. Let h(p) = p**3 + 7*p - 4. Give 3*h(q) - 5*z(q).
-2*q**3 + q - 2
Let u(k) = -6*k**3 - 5*k**2 - k + 7. Let t(x) = 7*x**3 + 6*x**2 + x - 7. Determine -5*t(g) - 6*u(g).
g**3 + g - 7
Let c(b) = -b**3 - b**2 + b + 1. Let f(r) = 3*r**3 - r. Determine c(y) + f(y).
2*y**3 - y**2 + 1
Let o be ((-2)/(-6))/(4/(-24)). Let y(b) = 4*b**2 - 2*b + 5. Let n(h) = h**2 - h + 1. Calculate o*n(s) + y(s).
2*s**2 + 3
Let a(j) = 4*j - 1 + 3 + 0*j. Let i(c) = -3*c - 2. Let m be 3/((-1)/12*-9). Give m*a(t) + 5*i(t).
t - 2
Let b(c) = -3*c. Let l(d) = 4*d - 5. Let y(w) = w - 1. Let v(a) = -l(a) + 5*y(a). Let u(p) = p**3 - 7*p**2 - 7*p - 1. Let m be u(8). Determine m*v(g) + 3*b(g).
-2*g
Let q(n) = -4*n. Let a be q(2). Let x(r) = -2*r**3 + 5*r**2 - 5*r + 2. Let s(b) = -8*b**2 + 6 + 3*b**3 + 8*b - 4 - 5. Determine a*x(k) - 5*s(k).
k**3 - 1
Suppose -1 = d - 3. Let i(n) = -1 - 2*n**d + n - 6*n**2 + 2*n**2 + 0. Let s(x) = -5*x**2 + x - 1. What is -3*i(j) + 4*s(j)?
-2*j**2 + j - 1
Let p(r) be the first derivative of -r**4/2 - 3*r**2/2 - 4*r + 12. Let m(z) = -5*z**3 - 7*z - 9. Calculate -3*m(b) + 7*p(b).
b**3 - 1
Let i(s) = 4*s - 3. Let v(g) = -2*g + 1. Let n be (2/1 - -1)/(-1). Calculate n*i(t) - 7*v(t).
2*t + 2
Let u(b) = 13*b**3 - 5*b**2 + 7*b - 2. Let x(c) = -19*c**3 + 8*c**2 - 10*c + 3. What is 7*u(y) + 5*x(y)?
-4*y**3 + 5*y**2 - y + 1
Suppose 0*p + 2*p = 4. Suppose 2*s = 4*z + 12, p*z + z = s - 7. Let y(u) = -u. Let h(m) = -2*m + 1. Give s*y(w) - h(w).
-2*w - 1
Let f(t) = 9*t + 6. Let o(a) = 19*a + 13. What is 9*f(p) - 4*o(p)?
5*p + 2
Let u(j) = 2*j - 9. Let p(o) = -o + 4. Suppose 4*d + 3*r - 3 = 0, -2*d - 3*r + 8*r = -21. Suppose 0 = -d*l + 1 - 16. What is l*p(w) - 2*u(w)?
w - 2
Let j(v) = 53 + v**2 - 23 - 30. Let g(s) = 2*s**2. Let m(p) = -p**2 + 1. Let f be m(2). Give f*g(t) + 4*j(t).
-2*t**2
Let i(y) = 7*y**2 + 3*y + 5. Let j(q) = q**2 + q + 1. What is -i(b) + 5*j(b)?
-2*b**2 + 2*b
Let f(r) = -r - 5*r**2 + 0*r**3 - r**2 - r**3 + 6*r**3. Let k(q) = -4*q**3 + 5*q**2 + q. What is -5*f(o) - 6*k(o)?
-o**3 - o
Suppose -5*u - 2*p = -3*p - 14, p = 1. Let s(h) = 11 - 11 + h**u - 3*h + 3*h**2. Let t(n) = 2*n**3 + 7*n**2 - 7*n. Calculate 7*s(c) - 3*t(c).
c**3
Let n(b) be the second derivative of 7*b**3/6 + 2*b**2 - 7*b. Let w(h) = 15*h + 9. Suppose -2*r + 3*z = -32, -4*r + 5*z = 1 - 63. Determine r*n(c) - 6*w(c).
c - 2
Let u(h) = 4*h**2 + 9*h. Let s(m) be the second derivative of -m**4/12 - m**3/3 - m. Give -18*s(t) - 4*u(t).
2*t**2
Let w(n) = -n**2 + n - 1. Let x(j) = -8*j**3 - 3*j**2 + 6*j + 11. Let h(k) = k**3 + k**2 - k - 1. Let f(p) = 6*h(p) + x(p). Give f(g) + 3*w(g).
-2*g**3 + 3*g + 2
Let w(i) = i + 4. Let q(p) = p - 5. Let c(g) = -2*g + 5. Let b(j) = -2*c(j) - 3*q(j). Calculate -6*b(o) + 7*w(o).
o - 2
Let s(d) = -5*d - 7. Let a be ((-8)/(-5))/((-8)/(-20)). Let o(b) = 5*b + 2. Let r(y) = 11*y + 3. Let m(f) = a*r(f) - 10*o(f). Determine -6*m(u) + 7*s(u).
u - 1
Let k(w) be the first derivative of -w**2/2 + 7*w - 1. Suppose s = 2*q + 1, s = -0*s - q + 7. Let i(r) = -r + 6. What is s*k(b) - 6*i(b)?
b - 1
Let x(v) = -6*v**2 - 6*v + 1. Suppose -6*y = -4*y + 8. Let r(j) be the second derivative of -13*j**4/12 - 13*j**3/6 + j**2 - j. Calculate y*r(w) + 9*x(w).
-2*w**2 - 2*w + 1
Let l(c) = -6*c**3 + 68*c**2 + 14. Let i(j) = 2*j**3 - 23*j**2 - 5. Calculate 14*i(o) + 5*l(o).
-2*o**3 + 18*o**2
Let f(k) = -25*k - 2. Let j(m) = -175*m - 15. What is -15*f(n) + 2*j(n)?
25*n
Let q(j) = j + 7. Let o(v) be the second derivative of 0 - 15/2*v**2 - 1/3*v**3 + v. Suppose -3*z = -z + 12. Calculate z*o(f) - 13*q(f).
-f - 1
Let a(b) = -b. Let t(g) = g. Let u be (-3 - -1)/(2/(-1)). Let o(k) = -1 + 3 + 0 + 0 - k**2 + 15*k. Let n be o(15). Determine n*a(r) + u*t(r).
-r
Let c(a) = -2*a + 2*a - 3 - a + 3*a. Let p(z) = -7*z + 13. What is -9*c(x) - 2*p(x)?
-4*x + 1
Let p(c) = 2*c - 3*c - 3*c + 3*c. Let i(k) = -3*k**2 + 18*k. Give -i(o) - 18*p(o).
3*o**2
Let z(p) be the second derivative of 8*p**2 + 0 - 2*p + 2/3*p**3. Let r(j) = j + 5. What is -10*r(u) + 3*z(u)?
2*u - 2
Let x(k) = -6*k**3 - 2*k**2 - 4*k + 5. Let b(s) = -7*s**3 - 2*s**2 - 5*s + 6. Determine 3*b(t) - 4*x(t).
3*t**3 + 2*t**2 + t - 2
Let q(v) be the first derivative of -v**4/2 - 2*v**3/3 + v**2 + 2*v + 70. Let i(t) be the second derivative of t**3/6 + t**2/2 - t. Give 2*i(d) - q(d).
2*d**3 + 2*d**2
Let i(m) = -m**2 - 3*m + 3. Let v be i(-3). Suppose -5*f = 6 + 84. Let y = f + 8. Let b(w) = -w**2 + 3. Let t(c) = -4*c**2 + 10. Calculate v*t(q) + y*b(q).
-2*q**2
Let f(z) = -9*z + 6. Let o be (0 + 4/8)*-2. Let h(k) = k - 1. Determine o*f(g) - 6*h(g).
3*g
Let x(f) = -2*f + 2. Let a(j) = -j**3 - j + 2. Determine -3*a(i) + 2*x(i).
3*i**3 - i - 2
Let a = -9 + 11. Let x(n) = 0 + 2*n**2 - 3*n**a - 1 + 0. Let c(v) be the second derivative of -2*v**4/3 - 3*v**2 + v. Give c(i) - 6*x(i).
-2*i**2
Let i(h) = 0 + 46*h - 45*h + 0. Let g = 49 - 51. Let x(m) = m**2 + m. Let q(n) = 5*n**2 + 12*n. Let s(p) = -q(p) + 6*x(p). Calculate g*s(j) - 11*i(j).
-2*j**2 + j
Let f(j) = 8*j. Suppose 8 = -4*x - 4. Let o(l) = l. Determine x*f(r) + 21*o(r).
-3*r
Let p(t) = 6*t**3 + 2*t**2 + 6*t + 6. Let h(a) = 11*a**3 + 4*a**2 + 13*a + 13. What is -6*h(g) + 13*p(g)?
12*g**3 + 2*g**2
Let j = 11 - 7. Let m(a) = -a**3 + 4*a**2 - 4*a - 1. Let i(o) = -o**2 + o. Give j*i(b) + m(b).
-b**3 - 1
Let y(w) = -8*w**2 + 5*w - 5. Let d(c) = 9*c**2 - 4*c + 2. Let v(k) = -19*k**2 + 8*k - 3. Let a(l) = 5*d(l) + 2*v(l). Calculate 5*a(g) + 4*y(g).
3*g**2
Let t(s) = 22*s + 2. Let j(q) = 21*q + 2. Give -4*j(b) + 3*t(b).
-18*b - 2
Let j(d) = 8*d - 3. Let r(g) = -17*g + 6. Calculate -5*j(a) - 3*r(a).
11*a - 3
Let n(r) = -1. Let a(s) = 6*s + 2. Let w(k) = -5*k - 3. Let h(t) = -3*a(t) - 4*w(t). Calculate -h(y) - 4*n(y).
-2*y - 2
Let n(k) = -3*k + 5. Let y(l) = 3*l - 6. Suppose -7*s + 15 = -2*s. What is s*y(h) + 4*n(h)?
-3*h + 2
Let m(l) = -l**2 + 4*l + 37. Let z(w) = -w**2 + 5*w + 37. What is 6*m(j) - 5*z(j)?
-j**2 - j + 37
Let h(c) = -4*c**2 + 6. Let l(v) = -15*v**2 + 5*v + 19. Let i(d) = 7*d**2 - 2*d - 9. Let y(f) = -5*i(f) - 2*l(f). Calculate -4*h(o) + 3*y(o).
o**2 - 3
Let d(z) = -2*z**2 - 2*z + 1. Let w(j) = j**2 + 3*j - 1. Let u(f) = 3*f**2 - f - 2. Let m be u(-1). Give m*w(p) + 3*d(p).
-4*p**2 + 1
Let f(k) = 6*k - 11. Let v(m) = m - 2. Let c = -52 + 50. Calculate c*f(r) + 11*v(r).
-r
Let q(v) be the first derivative of 3*v + 0*v**3 - 2 + 3/2*v**2 + 1/4*v**4. Let z(g) = -g**3 - g - 1. What is q(i) + 2*z(i)?
-i**3 + i + 1
Let c(o) = -o**3 + 17*o**2 + 5*o + 2. Let v(n) = n**3 - 9*n**2 - 3*n - 1. What is -3*c(q) - 5*v(q)?
-2*q**3 - 6*q**2 - 1
Let y(a) = -a + 1. Let l(s) = -4*s**2 + 2*s - 6. Determine l(o) + 3*y(o).
-4*o**2 - o - 3
Let h(g) = -g**2 - 5*g + 1. Let b(d) = d**2 + d - 1. What is 2*b(o) + h(o)?
o**2 - 3*o - 1
Let y be (2/(-4)*2)/(1/(-11)). Suppose -2*j = 6 + 6. Let v(c) = 5*c**2 - 7. Let z(n) = 9*n**2 - 13. Give j*z(k) + y*v(k).
k**2 + 1
Suppose -9*g + 20 = -4*g. Let a(t) = 6*t**2 - 3*t - 3. Let d(c) = 7*c**2 - 4*c - 4. Calculate g*a(x) - 3*d(x).
3*x**2
Let c be (-3)/(-1)*1*1. Let l(g) = -3*g**c - 4*g + 2*g**3 + 5*g. Let o(b) = -3*b + 2*b + 3*b**3 - 2*b**3. What is 6*l(f) + 4*o(f)?
-2*f**3 + 2*f
Let d(l) = 2*l**2 + 5*l + 2. Let u(v) = -1 + 2 + 30*v**2 - 17*v**2 - 12*v**2 + 2*v. Determine -3*d(c) + 8*u(c).
2*c**2 + c + 2
Let f(j) = -5 + 4 + 0 - j - j**2 + 0. Let t(p) = -p**3 + 5*p**2 + 5*p + 4. What is 4*f(m) + t(m)?
-m**3 + m**2 + m
Let k(p) = 6*p**3 + 4*p. Let b(m) = -m**3 + m**2 + 3*m + 2. Let c be b(3). Let a(s) = -4*s**3 - s - 4*s + 2*s. What is c*a(h) - 5*k(h)?
-2*h**3 + h
Let f(v) = 3*v + 6. Let i | {
"pile_set_name": "DM Mathematics"
} |
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