t c(z) be the second derivative of 0 - 5/24*z**4 + 5/4*z**2 - 5/12*z**3 + 1/8*z**5 - 141*z. Solve c(o) = 0.
-1, 1
Suppose -4*p + 4*i = -8, 3*p + 8*i - 30 = 3*i. Let c = p + -3. Factor 2*r**3 + 13*r - 7*r + 1 - 8*r - r**c.
(r - 1)*(r + 1)*(2*r - 1)
Let i(p) be the third derivative of 11*p**5/210 + 83*p**4/168 - 10*p**3/21 + 30*p**2 + 26. Solve i(h) = 0 for h.
-4, 5/22
Let i(o) be the first derivative of o**4/24 + 35*o**3/9 - 721*o**2/12 - 395*o/3 - 12729. Factor i(u).
(u - 10)*(u + 1)*(u + 79)/6
Let r(w) be the first derivative of -w**5/5 - 2*w**4 + 23*w**3/3 + 15*w**2 - 1787. Find a such that r(a) = 0.
-10, -1, 0, 3
Let w(p) = 5*p**3 + 46*p**2 - 627*p + 579. Let i(f) = 2*f**3 - f**2 - f + 1. Suppose 29 - 95 = 11*m. Let l(u) = m*i(u) + 2*w(u). Let l(n) = 0. Calculate n.
1, 24
Let t(z) be the second derivative of -z**4/132 + 333*z**3/11 - 998001*z**2/22 + 1610*z. Factor t(f).
-(f - 999)**2/11
Suppose -12 = 26908*l - 26912*l. Factor 3/2*v**4 + 0 + 6*v - 21/2*v**2 + 3*v**l.
3*v*(v - 1)**2*(v + 4)/2
Let z = -1010349/2 + 505178. Determine m so that 1 - 3/4*m**3 - 7/4*m - z*m**2 = 0.
-4, -1, 1/3
Let w(x) = -x**4 - 49*x**3 + 97*x**2 + 49*x - 96. Let v(d) = -2*d**2 + 2. Let c(i) = -6*v(i) + 2*w(i). What is g in c(g) = 0?
-51, -1, 1, 2
Let k(u) = u**3 - 65*u**2 + 901*u - 41. Let j be k(45). Let q(x) be the second derivative of 1/3*x**3 + 0*x**2 - 1/42*x**j + 20*x + 0. Solve q(g) = 0 for g.
0, 7
Let l(r) be the first derivative of -2*r**6/3 - 4*r**5/5 + 7*r**4 + 52*r**3/3 + 12*r**2 - 176. Determine h so that l(h) = 0.
-2, -1, 0, 3
Let k(a) = -3*a**2 + 35*a - 52. Let z(j) = -454*j + 51 + 3*j**2 - 452*j + 870*j. Let s(c) = 3*k(c) + 2*z(c). Suppose s(g) = 0. What is g?
2, 9
Let v(o) = -o**3 + 20*o**2 - 37*o + 27. Let z be v(18). Let k = 0 + z. Determine q so that 7*q**2 + 4*q**2 - k*q**2 - 3*q + q = 0.
0, 1
Let v(o) be the first derivative of 1/60*o**5 - 1/180*o**6 + 0*o**2 + 1/6*o**4 + 35/3*o**3 - 25 + 0*o. Let w(i) be the third derivative of v(i). Factor w(d).
-2*(d - 2)*(d + 1)
Suppose -4*y + 8111 = -5*b, 5*y + 7*b = 12*b + 10140. Factor -5*s**2 + 2017 + s**2 + 26*s - y.
-2*(s - 6)*(2*s - 1)
Factor 0 - 8/17*i**2 + 2/17*i**4 + 64/17*i - 16/17*i**3.
2*i*(i - 8)*(i - 2)*(i + 2)/17
Let m(u) be the third derivative of -u**6/300 + 193*u**5/75 - 37249*u**4/60 - 16*u**2 - 35*u. Let m(h) = 0. What is h?
0, 193
Let o(l) be the first derivative of -l**5/60 + 2*l**3/3 - 151*l**2/2 - 137. Let p(d) be the second derivative of o(d). Factor p(f).
-(f - 2)*(f + 2)
Let j(p) = -p**3 + 33*p**2 - 32*p - 37. Let s be j(32). Let f = s + 40. Factor 6*h**2 - 8*h - 2*h**f + 1/4*h**4 + 4.
(h - 2)**4/4
Suppose 0 = 4*i - 747 + 551. Let -13*l - 23*l**4 + 22*l**3 + 6*l**3 + i*l**4 - 14*l**4 - 3*l = 0. What is l?
-2, -1, 0, 2/3
Let y(l) = 11*l**4 - 7*l**3 + 18*l**2 - 4*l - 10. Let j(z) = -24*z**4 + 15*z**3 - 37*z**2 + 8*z + 19. Let g(h) = -6*j(h) - 13*y(h). Solve g(q) = 0.
-4, -1, 2
Let t(k) = k**3 + 26*k**2 + 171*k + 112. Let h be t(-10). Determine q so that 1/3*q**h + 0 + 8/3*q = 0.
-8, 0
Suppose 12*h + 4 = -7*h + 42. Solve -1 + 1/6*t**4 - 1/6*t**3 - 7/6*t**h + 13/6*t = 0 for t.
-3, 1, 2
Factor -311*y**3 + 201*y**2 + 4*y**4 + 760*y - 213*y**2 + 55*y**3 + 512.
4*(y - 64)*(y - 2)*(y + 1)**2
Let k = -1471 - -1473. Let w(l) be the first derivative of -1/3*l**k - 1/9*l**3 + 4 + l. Suppose w(s) = 0. What is s?
-3, 1
Suppose 250*k + 11 = 260*k + 3*m, 4*m + 8 = -2*k. Factor -2/7*w**k - 2/7*w**3 + 2/7*w**4 + 2/7*w + 0.
2*w*(w - 1)**2*(w + 1)/7
Find o, given that 6*o**4 + o + 5*o + 366*o**2 - 3*o**4 + o**5 - 3*o**3 - 735*o**2 + 362*o**2 = 0.
-3, -2, 0, 1
Let x = 588 + -1404. Let d = 818 + x. What is t in 1/8*t**3 - t**2 + 5/2*t - d = 0?
2, 4
Let p(w) = w**3 - 10*w**2 - 11*w + 2. Let l be p(11). Let r be (l*12/16)/((-6)/(-8)). Factor -7 + 1 + r*y**3 + 6*y**2 + 44*y - 46*y.
2*(y - 1)*(y + 1)*(y + 3)
Suppose -4*o - 33 = -57. Suppose h + 15 = o*h. Let 480*q + 5*q**h - 96 + 20*q**3 + 10*q**3 + 270*q**2 - 64 = 0. Calculate q.
-4, 2/7
Suppose 0*t + 2*z = -2*t + 148, 2*t = -z + 147. Let w = t - 70. Factor -3*o**5 - w*o**3 - 5*o**4 + 10*o**4 - 11*o**4.
-3*o**3*(o + 1)**2
Let o be (-796)/(-154) + (-3282)/(-6017). Let l(a) be the first derivative of o*a + 18/7*a**2 - 5 - 4/21*a**3. Let l(z) = 0. What is z?
-1, 10
Let h(t) be the third derivative of -t**6/420 - 38*t**5/105 + 11*t**4/12 + 31*t**2 + 28. Find d, given that h(d) = 0.
-77, 0, 1
Let q(o) be the first derivative of -o**4/8 - o**3/2 - 87*o - 34. Let v(y) be the first derivative of q(y). Factor v(s).
-3*s*(s + 2)/2
Let p = -39966 - -599494/15. Let f(a) be the second derivative of -p*a**3 - 16*a + a**2 + 0 - 1/30*a**4. Let f(o) = 0. What is o?
-5, 1
Let j be ((-2646)/392)/(-2 - 1). Let u(n) be the first derivative of 0*n**5 - 1/2*n**6 + 0*n + 8 + 2*n**3 + j*n**4 + 0*n**2. Factor u(g).
-3*g**2*(g - 2)*(g + 1)**2
Let y(o) = o**2 - 5*o + 2. Let a be y(5). Let n be ((-14790)/(-37400))/(6/4) + (-2)/(-20). What is b in n + 6/11*b**a + 10/11*b = 0?
-1, -2/3
Let f(v) = 4*v**4 - 2*v**3 - 3*v**2 + 3. Let j(c) = -c + 14. Let h be j(13). Let m(y) = -y**2 - 1. Let q(d) = h*f(d) + 3*m(d). Factor q(o).
2*o**2*(o + 1)*(2*o - 3)
Let b(v) = -5*v + 4. Let i be b(-2). Suppose 4*t + 19 = -4*z + 83, -5*t + 45 = -2*z. Factor 75 + i*p - t*p**2 + 16*p + 14*p**2.
3*(p + 5)**2
Let h(w) be the first derivative of 4*w**2 - 4*w - 147 - 1/2*w**4 + 1/5*w**5 - w**3. Let h(g) = 0. What is g?
-2, 1, 2
Let y be -1*((-2)/(-3))/(-2). Let k be 6/(-24)*20/(-15). Factor y*o**2 - 1/9*o**3 - k + 1/9*o.
-(o - 3)*(o - 1)*(o + 1)/9
Let r(j) be the first derivative of -7*j**6/24 + 4*j**5/5 + 17*j**4/16 - 31*j**3/6 + 11*j**2/2 - 2*j - 1395. What is p in r(p) = 0?
-2, 2/7, 1, 2
Let d(y) = 2*y**2 + 439*y + 1907. Let h(x) = -x**2 - 146*x - 637. Let n(g) = -2*d(g) - 7*h(g). Let n(i) = 0. What is i?
-43, -5
Let b = -91278 - -91284. Suppose -b*i**2 - 9/5*i**3 - 24/5 - 1/5*i**4 - 44/5*i = 0. Calculate i.
-3, -2
Suppose -71 = -856*b + 779*b + 83. Determine l, given that 8/5*l + 3*l**b + 6/5*l**3 - 1/5*l**4 + 0 = 0.
-1, 0, 8
Suppose -4*o = 4*p - 0*o - 20, -5*o + 13 = -p. What is z in -2*z**5 + p*z**3 - 5 + 24*z - 5 - 1 + 6*z**4 + 3 - 22*z**2 = 0?
-2, 1, 2
Let g = 107757/16 + -6734. Let m(v) be the first derivative of 23 + 1/5*v**5 + 11/12*v**3 + 0*v + g*v**4 + 1/4*v**2. Suppose m(s) = 0. What is s?
-2, -1, -1/4, 0
Let i(v) be the first derivative of v**6/30 + 23*v**5/25 + 163*v**4/20 + 361*v**3/15 + 32*v**2 + 20*v - 288. Suppose i(m) = 0. What is m?
-10, -1
Let h(y) be the second derivative of -1/40*y**5 + 0*y**2 + 0 + 1/24*y**4 + 1/6*y**3 - 83*y. Factor h(o).
-o*(o - 2)*(o + 1)/2
Factor 17313*o**2 + 27 + 42190*o**2 + 62649*o**2 - 12492*o**2 - 4572*o + 83888*o**2.
3*(254*o - 3)**2
Let z(a) be the first derivative of -3/2*a**4 - 4/5*a**5 + 0*a**2 + 0*a - 71 + 4/3*a**3. Determine q, given that z(q) = 0.
-2, 0, 1/2
Let h(f) be the second derivative of -147*f**5/5 + 2*f**4/3 - 700*f. Suppose h(n) = 0. What is n?
0, 2/147
Let z(a) = 72*a**2 + 9*a**3 + 1657*a - 1567*a + 6*a**3 + 11. Let j(u) = -8*u**3 - 36*u**2 - 46*u - 6. Let r(f) = -11*j(f) - 6*z(f). Suppose r(n) = 0. What is n?
-17, -1, 0
Suppose 200*k - 1076*k + 9 = 9. Suppose 0*t**2 + 1/5*t**4 + 4/5*t**3 + k*t + 0 = 0. Calculate t.
-4, 0
Let n be (2332/5)/((-8)/(-20)) + 3/15*50. Find p such that -3/2*p**2 + 84*p - n = 0.
28
Factor -10/3 - 17/3*s - 1/3*s**3 - 8/3*s**2.
-(s + 1)*(s + 2)*(s + 5)/3
Let k(i) = -5*i**3 - 2*i**2 - i + 1. Let w(c) = 2*c**4 - 2*c**3 - 10*c - 4. Let r(h) = -2*k(h) + w(h). Solve r(m) = 0 for m.
-3, -1, 1
Let m(g) be the second derivative of -g**6/5 - g**5/20 - 1958*g + 1. Find f such that m(f) = 0.
-1/6, 0
Factor 248 - 1/5*x**2 + 243/5*x.
-(x - 248)*(x + 5)/5
Suppose -120*h + 123*h - 1 = 2*y, -5*h = -3*y - 3. Let p(r) be the second derivative of 4/7*r**2 + 0*r**3 + 0 - 1/42*r**y + 8*r. Factor p(f).
-2*(f - 2)*(f + 2)/7
Factor 0 - 5*a**2 + 1/7*a**4 - 150/7*a + 4/7*a**3.
a*(a - 6)*(a + 5)**2/7
Suppose 4*c = 7*p - 5*p + 10, 25 = -5*p + 5*c. Let q be (-13)/(-3) + (10/p - 2). Factor -1/3*f**2 + 2/3 - q*f.
-(f - 1)*(f + 2)/3
Let y be 60*(790/(-30) + 25)*15/(-250). Factor y*u**3 - 16/5*u**2 + 0*u - 12/5*u**4 + 2/5*u**5 + 0.
2*u**2*(u - 2)**3/5
Let x(j) be the second derivative of -j**5/10 - 2*j**4 + 5*j**3 + 26*j**2 + 1460*j + 1. Fact