 be -32 + 31 - (-17)/z. Let -24/11*v - 24/11*v**2 - r*v**3 + 0 = 0. What is v?
-2, 0
Let w(h) = h**3 - 29*h**2 + 26*h + 59. Let v be w(28). Let j(n) = 9*n**3 - 49*n**2 + 64*n - 16. Let q(c) = c**3 - c**2. Let l(x) = v*q(x) + j(x). Factor l(r).
4*(r - 2)**2*(3*r - 1)
Let q = -9979210/7 - -1425602. Factor -q*d**2 + 2/7*d + 2/7.
-2*(d - 1)*(2*d + 1)/7
Let x(u) be the first derivative of -3/4*u**4 + 39/2*u**2 + 7*u**3 - 28 + 18*u - 3/5*u**5. Factor x(v).
-3*(v - 3)*(v + 1)**2*(v + 2)
Let p(j) be the second derivative of -1/3*j**2 - 21*j - 1/18*j**6 - 17/60*j**5 - 7/12*j**4 - 11/18*j**3 - 1. Determine u so that p(u) = 0.
-1, -2/5
Let o be 4 + -23 + (-3)/1. Let b = o - -24. Let 4*j**3 - 2224*j**2 + 2224*j**b = 0. Calculate j.
0
Factor -40 + 321*u - 112*u**2 - 344*u - 593*u - 368*u - 140*u.
-4*(u + 10)*(28*u + 1)
Let f(x) be the second derivative of -x**5/70 + x**4/42 + 16*x**3/21 + 20*x**2/7 + 2235*x. Factor f(i).
-2*(i - 5)*(i + 2)**2/7
Let j(d) = 7*d**5 + 7*d**4 - 25*d**3 - 28*d**2 + 43*d. Let p(o) = 3*o**5 + 3*o**4 - 12*o**3 - 12*o**2 + 22*o. Let h(l) = -2*j(l) + 5*p(l). Factor h(m).
m*(m - 2)**2*(m + 2)*(m + 3)
Let c(j) = 259*j**2 + 42215*j - 321. Let a be c(-163). Suppose -11*b - 8/3 - 4*b**4 - 1/3*b**a - 38/3*b**3 - 52/3*b**2 = 0. Calculate b.
-8, -1
Let y(v) = 8056*v + 88618. Let q be y(-11). Suppose -1/3*m**3 + 4/3 - 1/3*m**q + 4/3*m = 0. What is m?
-2, -1, 2
Factor -123 - 25574*k + 2*k**3 - 117 + 25320*k - 12*k**2.
2*(k - 15)*(k + 1)*(k + 8)
Let t = -74 + 76. Factor 4*p**3 - 114*p**4 + 49*p**4 + 56*p**4 + 3*p**5 + t*p**3.
3*p**3*(p - 2)*(p - 1)
Let x(o) = -o**2 - 41*o - 5. Let t be x(-40). Solve 5*g**5 - t*g**4 - 100*g**2 - 5*g + 18*g + 14*g + 13*g + 90*g**3 = 0.
0, 1, 2
Let x(j) be the first derivative of 396/17*j**2 - 9/17*j**4 - 65 - 968/17*j - 74/51*j**3 - 2/85*j**5. Factor x(a).
-2*(a - 2)**2*(a + 11)**2/17
Let q(p) be the first derivative of -94 + 90*p**2 - 65*p**3 + 25/2*p**4 + 20*p. Suppose q(w) = 0. What is w?
-1/10, 2
Let q = 40 + -49. Let p(o) = -3*o + 9. Let x be p(q). Find j, given that x*j + 11 - 5*j**2 - 51 + 33*j - 24*j = 0.
1, 8
Suppose 29 + 20 = 7*v. Let j(n) = 12*n**2 - 730*n + 11539. Let f(b) = 8*b**2 - 486*b + 7693. Let q(h) = v*f(h) - 5*j(h). Factor q(a).
-4*(a - 31)**2
Let k(u) be the first derivative of -u**7/840 + u**6/36 + 11*u**5/120 + 4*u**3/3 - 2*u**2 + 36. Let h(i) be the third derivative of k(i). Factor h(v).
-v*(v - 11)*(v + 1)
Suppose 0 = -m + 2*m - 16. Suppose j - m = -3*j. What is d in -5*d**2 + 10*d**3 + 20*d**2 - 20*d - 11 - 9 - 5*d**j = 0?
-1, 2
Let q(m) be the first derivative of m**4/6 + 62*m**3/9 + 130*m**2/3 - 1672. Solve q(n) = 0.
-26, -5, 0
Suppose 0 = 5*t - 4*i - 88, -3*t - i - 2*i = -69. Factor t + 60*v - 1007*v**3 - 5*v**2 + 987*v**3 - 44*v + 64*v.
-5*(v - 2)*(v + 2)*(4*v + 1)
Let q(k) be the first derivative of 44/3*k**3 + 12*k**4 + 4*k**2 + 163 - 36/5*k**5 + 0*k. Suppose q(y) = 0. What is y?
-1/3, 0, 2
Let k(y) be the first derivative of 5*y**3/3 - 70*y**2 - 640*y + 987. Factor k(q).
5*(q - 32)*(q + 4)
Suppose 382*g - 385*g = -2*w - 45, 0 = -2*g + 2*w + 34. Let v(a) be the first derivative of -a + 1/3*a**3 - 1/2*a**2 + 1/4*a**4 + g. What is z in v(z) = 0?
-1, 1
Let b = 424274 - 252442782/595. Let d = b - 2/119. Solve -d*t**2 + 8/5 - 6/5*t = 0 for t.
-4, 1
Let m(l) be the first derivative of l**4 - 1268*l**3/3 - 1274*l**2 - 1276*l + 1667. Solve m(y) = 0.
-1, 319
Factor 4065/4 + 2035/2*n + 5/4*n**2.
5*(n + 1)*(n + 813)/4
Suppose 319*t - 120 = 313*t. Factor 1 + 3*n**3 - 1 - 15*n + 44*n**2 - 12*n**2 - t*n**2.
3*n*(n - 1)*(n + 5)
Determine t, given that -t**2 + 514*t - 924 + t**4 - 25*t**3 - 26*t**2 - 1966 + 1044*t + 1383*t = 0.
-10, 1, 17
Let s(l) be the second derivative of 1/42*l**4 - 6/7*l**2 + 5/21*l**3 - 3 + 13*l. Solve s(x) = 0 for x.
-6, 1
Let q(s) = -4*s**3 - 13*s**2 + 7. Let m(r) = 5*r**3 + 14*r**2 - 8. Let z(g) = 7*m(g) + 8*q(g). Factor z(j).
3*j**2*(j - 2)
Suppose 36 - 90/7*m - 46/7*m**2 + 2/7*m**4 + 10/7*m**3 = 0. What is m?
-7, -3, 2, 3
Let m(a) be the third derivative of 11*a**6/24 - a**5/3 - 25*a**4/8 - 7169*a**2. Let m(z) = 0. Calculate z.
-1, 0, 15/11
Let t = -23639/18 + 11995/9. Find g such that 3/2*g**4 - 18*g + t*g**2 + 6 - 9*g**3 = 0.
1, 2
Let o(y) be the first derivative of -y**5/10 + y**4/2 - 5*y**3/6 + y**2/2 + 2590. Factor o(r).
-r*(r - 2)*(r - 1)**2/2
Let z(u) be the first derivative of 2*u**3/21 + 2*u**2/7 - 286*u/7 + 2189. Factor z(b).
2*(b - 11)*(b + 13)/7
Find j such that 26914220*j**2 + 16974744 - 21*j**5 - 5349*j**4 + 21251*j**4 - 76426716*j - 15004389*j**3 + 16505*j**4 + 3005*j**4 + 36922750*j**2 = 0.
2/7, 2, 841
Let z(v) be the first derivative of v**6/2 + 51*v**5/5 + 87*v**4/2 + 82*v**3 + 159*v**2/2 + 39*v + 2150. Factor z(w).
3*(w + 1)**4*(w + 13)
Determine x so that -508/7*x + 2/7 + 32258/7*x**2 = 0.
1/127
Let v(k) be the second derivative of -5/36*k**4 - 5*k**2 + 0 + 77/18*k**3 + 56*k. Find s such that v(s) = 0.
2/5, 15
Suppose 837*b = 846*b - 72. Let c(t) be the second derivative of t + 2*t**3 - b*t**2 + 0 + 1/3*t**4. Factor c(u).
4*(u - 1)*(u + 4)
Let p(a) = -5*a**3 - 60*a**2. Let n(t) be the second derivative of t**4/6 + 108*t. Let v(x) = -30*n(x) - p(x). Find o, given that v(o) = 0.
0
Let m be (-6 - -4 - -2)*(-2)/4. Suppose -4*w + 26 + 18 = m. Let w*f**2 - 40 - 5*f**2 - 12*f - 2*f**2 = 0. Calculate f.
-2, 5
What is n in -500/13 - 50/13*n + 90/13*n**2 + 2/13*n**4 + 2*n**3 = 0?
-5, 2
Suppose -14 = 3*d - 23. Let b(p) be the first derivative of 18*p**2 - 5*p**3 + 0*p**4 + 21 - p**4 + 2*p**4 + 13*p**d. Factor b(v).
4*v*(v + 3)**2
Solve 29 + 546*f**3 - 81*f + 39 - 545*f**3 + 12*f**2 = 0.
-17, 1, 4
Let l(j) be the first derivative of j**7/210 - 2*j**6/45 - 53*j**3/3 + 120. Let c(r) be the third derivative of l(r). Let c(v) = 0. What is v?
0, 4
Let q(l) be the first derivative of -l**5/4 + 5*l**4/12 - 8*l + 20. Let m(b) be the first derivative of q(b). Suppose m(p) = 0. Calculate p.
0, 1
Suppose -m - 62 = 4*y - 210, 3*m - 37 = -y. Let d = y - 32. Solve 2*s + 3*s**4 - s**3 - 5*s**2 + s**4 - d*s - 3*s**4 = 0 for s.
-1, 0, 3
Let s(z) be the third derivative of z**8/672 + z**7/210 - z**6/240 - z**5/60 - z**2 - 1017. Determine m, given that s(m) = 0.
-2, -1, 0, 1
Suppose -a - 557 - 847 = x, -1406 = x - a. Let i = 12647/9 + x. Find w such that 2*w**3 + 14/9*w**2 + 0 + i*w**5 + 10/9*w**4 + 4/9*w = 0.
-2, -1, 0
Let v be (7/21 + 34/(-120))*(-47 + 91 + -39). Find w such that -3/4 + 1/4*w**3 + 3/4*w**2 - v*w = 0.
-3, -1, 1
Let u be (2/1 - 2)/(90/(-6) + 18). Let r(d) be the third derivative of -1/12*d**4 + 16*d**2 + 1/60*d**5 + 0 - 4/3*d**3 + u*d. Factor r(o).
(o - 4)*(o + 2)
Determine a, given that 123*a**3 - 20*a**5 + 405*a - 1125*a**2 - 64*a**3 - 1944*a**3 - 375*a**4 = 0.
-9, -1, 0, 1/4
Let g(s) = 385*s + 76234. Let t be g(-198). Find a, given that -6*a - 5/2*a**5 + 11/2*a**3 + 6*a**4 - 13*a**2 + t = 0.
-1, 2/5, 2
Let x(l) be the third derivative of 0 + 0*l + 28/15*l**4 - 4/3*l**3 + 130*l**2 - 11/150*l**5. Find d, given that x(d) = 0.
2/11, 10
Let f(c) = -c**2 - 13*c + 50. Let t be f(-16). Find y, given that -y + 3*y - 4*y**2 - 10*y + 0*y**t = 0.
-2, 0
Solve r**5 - 1153*r**3 + 7 - 10*r - 2*r**5 + 1164*r**3 + 9 + 7*r**4 - 23*r**2 = 0 for r.
-2, -1, 1, 8
Factor -12*m**3 + 95*m**2 - 19*m**3 - 14*m - 76*m + 26*m**3.
-5*m*(m - 18)*(m - 1)
Let c be (2 - 3)*(22 - 15). Let p(b) = b**2 + 8*b + 9. Let f be p(c). Factor -1/3*k**4 - 4/3*k**3 + 11/3*k**f - 2*k + 0.
-k*(k - 1)**2*(k + 6)/3
Let s = 618 - 614. Let i be s/(-22) + 24/132. Factor 0 + 2/13*c**5 + i*c - 10/13*c**3 - 2/13*c**4 - 6/13*c**2.
2*c**2*(c - 3)*(c + 1)**2/13
Factor -83*t + 48*t + 4*t**3 + 16*t + 60*t**2 - 60 + 15*t.
4*(t - 1)*(t + 1)*(t + 15)
Let b(y) = -2112*y - 283. Let h be b(-6). Solve 2*p**4 + 12389*p**2 - 6*p**4 - h*p**2 - 8*p**3 + 8*p + 4 = 0 for p.
-1, 1
Let h = 45135/90238 - 8/45119. Let 1/2*c**4 - 1/3*c**2 + 1/3*c**3 - 1/6 + 1/6*c**5 - h*c = 0. What is c?
-1, 1
Let x(j) = j**4 - j**3 - 15*j**2 + 3. Let z(l) = 4*l**3 - 14*l**2 + 2. Let a(k) = -2*x(k) + 3*z(k). Suppose a(p) = 0. What is p?
0, 1, 6
Let a(v) be the second derivative of 5*v**2 + 0 + 110*v + 1/6*v**3 - 1/20*v**5 - 5/6*v**4. What is h in a(h) = 0?
-10, -1, 1
Factor 396 - 519/4*x - 3/4*x**2.
-3*(x - 3)*(x + 176)/4
Let z(k) be the third derivat