21*k**6/90 - 17*k**5/12 + 228*k**2. Let i(n) be the third derivative of t(n). Factor i(j).
2*(j - 22)**2
Let o(m) be the second derivative of 0*m**3 + 0*m**2 - 1/90*m**6 + 92*m - 1/12*m**5 + 0*m**4 + 0. Determine t, given that o(t) = 0.
-5, 0
Let 5*a**5 + 540*a**2 - 1080*a + 653*a**4 + a**3 + 89*a**3 - 708*a**4 = 0. Calculate a.
-3, 0, 2, 6
Factor -4/7*t**3 - 864/7 - 72/7*t**2 - 432/7*t.
-4*(t + 6)**3/7
Let a = 6086 + -6082. Let g(z) be the second derivative of 1/2*z**2 + 0*z**a + 0 + 1/3*z**3 - 1/30*z**6 + z - 1/10*z**5. Solve g(h) = 0 for h.
-1, 1
Factor -18*c**2 + 5877*c**4 - 5882*c**4 - 3*c**2 - 22*c**3.
-c**2*(c + 3)*(5*c + 7)
Let s(j) be the first derivative of j**5/10 - j**4/8 - j**3/2 + j**2/4 + j - 6294. Factor s(l).
(l - 2)*(l - 1)*(l + 1)**2/2
Let j = -15910 + 15910. Let y(k) be the third derivative of 0*k + 1/28*k**4 + 2/21*k**3 + 1/210*k**5 + 18*k**2 + j. Determine u so that y(u) = 0.
-2, -1
Let l(c) be the third derivative of -c**7/42 - 13*c**6/8 - 217*c**5/12 + 5405*c**4/8 - 13225*c**3/3 - 7918*c**2. Suppose l(f) = 0. Calculate f.
-23, 2, 5
Let b(a) be the second derivative of -1/21*a**7 - 4*a**2 + 13/30*a**6 + 11/3*a**3 - a**5 + 23*a - 5/12*a**4 + 0. Let b(o) = 0. Calculate o.
-1, 1/2, 1, 2, 4
What is i in -16/13*i**3 + 42/13*i**2 + 16/13*i - 2/13*i**4 - 40/13 = 0?
-10, -1, 1, 2
Find s such that -34/3 - 41/2*s - 41/6*s**2 + 1/6*s**4 + 5/2*s**3 = 0.
-17, -1, 4
Let k be 6/5 + 1733920/49400. Let c = k + -260/19. Suppose c*m + 2/13*m**3 - 42/13*m**2 - 686/13 = 0. What is m?
7
Let u(s) be the first derivative of 3*s**4/4 - 12*s**3 + 135*s**2/2 - 150*s + 119. Factor u(w).
3*(w - 5)**2*(w - 2)
Let l(s) be the third derivative of s**6/1140 + 39*s**5/95 + 155*s**4/76 + 232*s**3/57 - 5843*s**2. Determine v, given that l(v) = 0.
-232, -1
Suppose 7*t = -z + 2*t + 572, -2*z + 1111 = -t. Suppose -z = 3*h - 563. Factor -2/15*s**3 + 0 + 2/15*s**h + 0*s.
-2*s**2*(s - 1)/15
Find k such that 10*k - 153*k**3 + 264*k**2 - 39*k - 3*k**5 + 36*k**4 - 115*k = 0.
0, 1, 3, 4
Let -72*p + 2514 + 3*p**2 + 612 + 3244 - 9613 = 0. What is p?
-23, 47
Let q(b) be the second derivative of b**7/70 + 73*b**6/50 + 3621*b**5/100 - 5021*b**4/20 - 6688*b**3/5 - 2166*b**2 + 3*b - 60. Solve q(a) = 0 for a.
-38, -1, 5
Let t(y) be the first derivative of 5*y**6 + 232*y**5/5 + 122*y**4 + 140*y**3 + 77*y**2 + 20*y - 338. Solve t(s) = 0.
-5, -1, -2/5, -1/3
Let d = 190638/19 + -1520829/152. What is u in 1/8*u**2 - 15/4*u + d = 0?
15
Suppose 3*f - 9 = -5*t + 70, 2*t + 19 = f. Let n = -20 + f. Find o such that -6*o - 6*o + 2*o + 0*o + 2*o**n - 12 + 4*o**2 = 0.
-3, -1, 2
Let x(o) be the second derivative of 12*o**2 + 1/3*o**4 - 75*o - 10/3*o**3 + 0. Factor x(h).
4*(h - 3)*(h - 2)
Let u(a) be the second derivative of -a**6/30 - 26*a**5/5 + 53*a**4/3 + 436*a. Factor u(c).
-c**2*(c - 2)*(c + 106)
Suppose 0 = 4*t - o - 24, 2*o + 3 = -13. Let l(w) be the first derivative of -2/7*w + 2/7*w**2 + 0*w**3 - 1/7*w**t - 6 + 2/35*w**5. Factor l(q).
2*(q - 1)**3*(q + 1)/7
Let x(h) be the first derivative of 1/10*h**5 + 39/2*h**3 + 0*h + 3*h**4 - 169/2*h**2 - 16. Factor x(v).
v*(v - 2)*(v + 13)**2/2
Let p(s) = 3*s**2 - 200*s - 1765. Let o(f) = 20*f**2 - 1396*f - 12360. Let b(h) = 7*o(h) - 48*p(h). What is l in b(l) = 0?
-25, -18
Let q(w) be the second derivative of w**5/390 + w**4/78 - 8*w**3/39 + 31*w**2 - 51*w. Let f(l) be the first derivative of q(l). Let f(c) = 0. Calculate c.
-4, 2
Let c be (-16)/(-12)*1122/(-9520). Let r = 383/210 + c. Let 160/3*g + r*g**3 - 160/3 - 50/3*g**2 = 0. What is g?
2, 4
Suppose -6*v = -200 + 494. Let j be 300/400 - v/20. Suppose 12/5 + 4/5*d**2 + j*d = 0. What is d?
-3, -1
Let v(c) = 7*c**3 + 9*c**2 + 3*c - 16. Let n = 57 + -59. Let j(a) = 6*a**3 + 10*a**2 + 2*a - 16. Let y(b) = n*v(b) + 3*j(b). Factor y(d).
4*(d - 1)*(d + 2)**2
Let r(q) be the third derivative of q**5/240 + 13*q**4/96 - 19*q**3/4 + 781*q**2. Let r(z) = 0. What is z?
-19, 6
Let c(l) be the second derivative of 15*l**5/2 + 1445*l**4/6 + 1144*l**3/9 + 76*l**2/3 - 3329*l. Suppose c(q) = 0. What is q?
-19, -2/15
Factor 36/7*o - 2/7*o**2 - 162/7.
-2*(o - 9)**2/7
What is z in 0 + 830*z + 5/3*z**2 = 0?
-498, 0
Let 1/9*c**3 + 1484/9 + 125/3*c**2 + 496/3*c = 0. What is c?
-371, -2
Let p(w) be the second derivative of -w**6/24 - w**5/8 + 95*w**4/48 - 35*w**3/6 + 15*w**2/2 + 258*w - 2. Let p(c) = 0. What is c?
-6, 1, 2
Let q(n) be the first derivative of -n**4/10 - 38*n**3/15 - 18*n**2/5 + 894. Solve q(v) = 0.
-18, -1, 0
Let j be ((-22)/(-20))/(12/(-12)). Let g = j - -73/30. Factor -g + 2/3*a**2 + 2/3*a.
2*(a - 1)*(a + 2)/3
Suppose 0 = 3*a + 4*a - 105. Suppose 5*n = 5*v - a, v = 6*v + 4*n - 15. Find h, given that v*h**2 + 5*h**2 - 3*h**4 - 5*h**4 - 4*h + 4*h**3 = 0.
-1, 0, 1/2, 1
Let a(c) = c**3 - c**2 - 2*c + 3. Let k(p) = -p**2 - 3*p - 2. Let o be k(-2). Let l be a(o). Factor 6*h**2 - 3*h + 14*h**2 + 5*h**l + 18*h.
5*h*(h + 1)*(h + 3)
Suppose 7*s - 30 = -16. Let v(j) be the first derivative of -1/22*j**4 - 8/11*j**s + 8/11*j - 11 + 10/33*j**3. Factor v(c).
-2*(c - 2)**2*(c - 1)/11
Let d(s) be the first derivative of -5/14*s**4 + 36/7*s**2 - 22 + 0*s - 1/35*s**5 - 4/7*s**3. Factor d(r).
-r*(r - 2)*(r + 6)**2/7
Suppose 10 = -120*g + 125*g. Let t be 8*(g - 0)*7/70. Factor -2/5*j**2 - t + 8/5*j.
-2*(j - 2)**2/5
Let v be (-4)/((-12)/(-27)) + 1. Let i be ((-9)/((-405)/522))/(v/(-5)). Find x, given that -1/2 - 9/4*x**4 + i*x**3 + 15/4*x - 33/4*x**2 = 0.
2/9, 1
Let a(i) be the first derivative of -i**6 + i**5/4 + 9*i**4/2 + 11*i**3/4 - 5*i**2/4 + 6145. Let a(s) = 0. Calculate s.
-1, 0, 5/24, 2
Let l(q) be the second derivative of -q**7/630 - 7*q**6/180 - q**5/5 + q**4/12 - 17*q**2 - 11*q. Let a(b) be the third derivative of l(b). Factor a(w).
-4*(w + 1)*(w + 6)
Let u(m) = -m**3 - 8*m**2 - 8*m - 5. Let l be u(-5). Let t = l + 48. Let t*o - 33*o**3 - o**2 - 5*o**2 + 31*o**3 = 0. Calculate o.
-4, 0, 1
Suppose 10482*k**2 + 7680*k**2 + 315*k + 618 + 15*k**4 - 20631*k**2 + 1521*k**3 = 0. What is k?
-103, -2/5, 1
Suppose -6/5*g**4 + 22/5*g**2 - 96/5*g - 2/5*g**5 - 72/5 + 42/5*g**3 = 0. Calculate g.
-6, -1, 2, 3
Let b(m) be the second derivative of 5*m**4/12 - 35*m**3/6 + 15*m**2 - 70*m. Let x(v) = 110*v**2 - 770*v + 660. Let s(w) = 45*b(w) - 2*x(w). Factor s(l).
5*(l - 6)*(l - 1)
Let g(f) be the second derivative of 3*f - 1/25*f**6 + 1/70*f**7 + 0*f**4 + 0*f**3 + 0*f**2 + 3/100*f**5 + 0. Factor g(m).
3*m**3*(m - 1)**2/5
Suppose -574 - 518 = -39*y. Factor c**5 - 9*c**2 - y*c**3 + 5*c**4 + 7*c**3 + 24*c**3.
c**2*(c - 1)*(c + 3)**2
Let d(m) be the second derivative of m**4/66 + 1876*m**3/11 + 7918596*m**2/11 + 6809*m. Factor d(a).
2*(a + 2814)**2/11
Let m(j) be the second derivative of j**6/180 - j**5/16 - j**4/12 - 29*j**3/6 + 4*j + 7. Let s(a) be the second derivative of m(a). Factor s(w).
(w - 4)*(4*w + 1)/2
Suppose -3*g + 12 = 0, g = -4*s + 6*g + 540. Let m = s + -137. Factor -2/7*u**m + 0*u + 0 + 2/7*u**2.
-2*u**2*(u - 1)/7
Let d(l) be the first derivative of -l**7/70 + l**6/8 - l**5/5 + 65*l**2/2 - 244. Let p(n) be the second derivative of d(n). Determine b, given that p(b) = 0.
0, 1, 4
Let q(b) be the first derivative of -b**4/12 - 4*b**3 + 26*b**2 - 160*b/3 + 1466. Find r such that q(r) = 0.
-40, 2
Suppose 4*l - 18 + 10 = 0. Suppose 5*b - 7 + 2 = -5*h, 4*b - l*h - 10 = 0. Factor 2*f**b - 4*f + 2*f**2 + 0*f**2.
4*f*(f - 1)
Let n(b) be the first derivative of b**3/7 - 6*b**2 - 612*b/7 + 875. Determine f, given that n(f) = 0.
-6, 34
Let o(h) = 4*h**4 + 106*h**3 + 160*h**2 + 5*h - 7. Let f(i) = -2*i**4 - 71*i**3 - 107*i**2 - i + 5. Let b(w) = -7*f(w) - 5*o(w). Find d such that b(d) = 0.
-3, -2, -1/2, 0
Let g(r) = 35*r**2 - 247*r. Let w(h) = 27*h**2 - 246*h. Let u(n) = 3*g(n) - 4*w(n). Factor u(c).
-3*c*(c - 81)
Let n(u) be the second derivative of u**7/357 + u**6/85 - 2*u**4/51 + 327*u. Determine z so that n(z) = 0.
-2, 0, 1
Determine r so that -1/4*r**5 + 846*r - 513 - 583/4*r**3 - 681/4*r**2 - 67/4*r**4 = 0.
-57, -6, 1
Let i(s) be the first derivative of s**5/60 + 4*s**4/3 - 50*s**2 + 62. Let h(r) be the second derivative of i(r). Factor h(m).
m*(m + 32)
Let -15/7*g**3 + 0 - 54/7*g - 69/7*g**2 = 0. Calculate g.
-18/5, -1, 0
Let q(u) = u**2 + 4*u + 6. Let o be q(-2). Suppose -g - 2*b + 1 = -b, o = -b. Let 35*w +