1, 2
Let q(v) be the second derivative of v**5/10 - 4*v**4/3 - v**3/3 + 8*v**2 - 123*v. Factor q(j).
2*(j - 8)*(j - 1)*(j + 1)
What is c in 3501/5*c**3 - 2806/5*c**2 + 21/5*c**5 - 96*c - 524/5*c**4 + 288/5 = 0?
-1/3, 2/7, 1, 12
Let z be 3/20*-4*18/(-81). Let u(c) be the first derivative of 2/45*c**3 + 2/15*c + 2 + z*c**2. Find s, given that u(s) = 0.
-1
Let i(x) = -11*x**3 + 11*x**2 + 9*x - 18. Let v(z) = -5*z**3 + 5*z**2 + 5*z - 9. Let r(l) = -4*i(l) + 9*v(l). Suppose r(s) = 0. Calculate s.
-3, 1, 3
Let k(p) be the third derivative of p**5/150 + 11*p**4/60 - 26*p**3/15 - 103*p**2. Find r, given that k(r) = 0.
-13, 2
Let x(c) be the third derivative of c**7/105 - 11*c**6/60 + 11*c**5/10 - 5*c**4/12 - 50*c**3/3 + 217*c**2. Solve x(l) = 0.
-1, 2, 5
Let b(n) be the first derivative of -49*n**4/6 + 56*n**3/3 - 16*n**2 + 7*n + 8. Let t(p) be the first derivative of b(p). Factor t(g).
-2*(7*g - 4)**2
Let n(z) = -2*z**4 - 31*z**3 - 66*z**2 + 149*z + 196. Let x(f) = f**4 + 16*f**3 + 33*f**2 - 74*f - 98. Let w(i) = 3*n(i) + 5*x(i). Factor w(v).
-(v - 2)*(v + 1)*(v + 7)**2
Factor -2 + 60*v**2 + 72*v**5 - 67*v**5 + 2 + 35*v**4 + 80*v**3.
5*v**2*(v + 2)**2*(v + 3)
Let k be (-1)/(((-2)/12)/(10/20)). Let u(i) = i - 1. Let r be u(1). Factor 2*z**2 + 6*z**k - 4*z**3 + r*z**2.
2*z**2*(z + 1)
Let d(n) be the first derivative of 2*n**3/27 - 2*n**2/3 - 6*n + 77. Factor d(r).
2*(r - 9)*(r + 3)/9
Let i(l) = 4*l - 10. Let d be i(0). Let x = 12 + d. Factor 0 + 1/4*r**3 - 1/4*r**x + 0*r.
r**2*(r - 1)/4
Let l(i) be the third derivative of -i**6/40 + i**4/8 + 2*i**3/3 - 2*i**2. Let v(a) = 7*a**3 + a**2 - 6*a - 9. Let b(w) = 9*l(w) + 4*v(w). Solve b(m) = 0 for m.
-3, -1, 0
Solve 5/6*v + 0 + 11/6*v**2 + 7/6*v**3 + 1/6*v**4 = 0.
-5, -1, 0
Let x(f) be the second derivative of f**4/28 - 21*f**3 + 9261*f**2/2 - 314*f. Factor x(g).
3*(g - 147)**2/7
Let b(a) = -a**2 + 8*a + 11. Let v be b(9). Factor -12*o + 14 - 4 - 15*o**v - 13*o.
-5*(o + 2)*(3*o - 1)
Let f = -966019/9 + 107081. Let q = -254 - f. Find o such that 2/9*o**5 + 0*o**3 - 2/9*o - q*o**4 + 0 + 4/9*o**2 = 0.
-1, 0, 1
Let c(w) be the first derivative of -w**7/840 - w**6/90 - w**5/24 - w**4/12 + 5*w**3/3 - 16. Let x(p) be the third derivative of c(p). Factor x(i).
-(i + 1)**2*(i + 2)
Let g(b) be the first derivative of 147*b**4/8 - 189*b**3/2 + 405*b**2/4 - 81*b/2 - 508. Suppose g(w) = 0. Calculate w.
3/7, 3
Let a(t) be the first derivative of 3*t**4/4 + 5*t**3 + 12*t**2 + 12*t + 233. Suppose a(x) = 0. Calculate x.
-2, -1
Let r(n) be the third derivative of -26*n**2 + 0*n + 1/240*n**5 + 0*n**4 + 1/160*n**6 + 1/1344*n**8 + 0*n**3 + 0 + 1/280*n**7. Factor r(b).
b**2*(b + 1)**3/4
Let m(w) be the second derivative of -w**7/42 + 13*w**6/45 - 59*w**5/60 - w**4/3 + 56*w**3/9 - 32*w**2/3 + 2*w + 36. Find u such that m(u) = 0.
-4/3, 1, 4
Let w = -2677 - -2692. Find l such that 5/2 + 45/4*l + 25/4*l**3 + w*l**2 = 0.
-1, -2/5
Let o(v) be the third derivative of -v**8/560 + v**7/70 - v**6/25 + v**5/25 - 45*v**2. Let o(l) = 0. Calculate l.
0, 1, 2
Let g = 4316 + -4314. Factor 1/3*o + 2/9 - 1/9*o**3 + 0*o**g.
-(o - 2)*(o + 1)**2/9
Let l(p) = -16*p**2 - 36*p - 56. Let q(n) = -13*n**2 - 35*n - 58. Let f(t) = 3*l(t) - 4*q(t). Factor f(c).
4*(c + 4)**2
Let j(z) be the first derivative of z**6/6 - 79*z**5/5 + 39*z**4/2 - 299. Factor j(i).
i**3*(i - 78)*(i - 1)
Determine w, given that -6/5*w**2 - 2/5*w + 2/5*w**3 + 4/5 + 2/5*w**4 = 0.
-2, -1, 1
Let l(b) be the first derivative of 6*b**5/25 + 27*b**4/10 - 42*b**3/5 - 147*b**2 + 67. Factor l(w).
6*w*(w - 5)*(w + 7)**2/5
Let c(q) = -q**3 + 6*q**2 + 8*q - 4. Let d be c(7). Factor -o**3 - 7*o**4 + 11*o**4 - 15*o**d.
4*o**3*(o - 4)
Let n(y) be the third derivative of y**8/168 + 2*y**7/35 + 13*y**6/60 + 2*y**5/5 + y**4/3 + 86*y**2. Find a, given that n(a) = 0.
-2, -1, 0
What is x in -4/3*x**4 - 32*x**2 - 128/3*x - 64/3 - 32/3*x**3 = 0?
-2
Let u be (5 + -9)*((-17)/(-4) + 3). Let w = u - -33. Factor 0 - 6/7*n**3 + 4/7*n**2 + 0*n**w + 0*n + 2/7*n**5.
2*n**2*(n - 1)**2*(n + 2)/7
Let y be 16/(-30)*-12*175/630. Suppose 4/9*g**4 + 0*g - 8/9*g**3 - y*g**2 + 2/9*g**5 + 0 = 0. What is g?
-2, 0, 2
Let f(r) be the second derivative of -r**6/10 + 9*r**5/20 + r**4/2 - 6*r**3 + 12*r**2 + 6*r - 1. Factor f(i).
-3*(i - 2)**2*(i - 1)*(i + 2)
Let n = 3 - 1. Let b(v) = -v**2 - 11*v - 10. Let s be b(-10). Determine h so that 7*h + s - 4*h**n + 0 + h = 0.
0, 2
Suppose 0 = -3*y - 100 + 34. Let d = y + 38. Factor 6*t**4 + d*t**2 - 5*t**3 - 9*t - 9*t**3 - 1 + 3 - t**5.
-(t - 2)*(t - 1)**4
Let q = 25813/27 + -956. Let f(y) be the second derivative of 0 + 2*y + 0*y**2 + 1/36*y**4 - q*y**3 - 1/180*y**5. Solve f(d) = 0 for d.
0, 1, 2
Let n(x) be the first derivative of -6 + 108/5*x + 18/5*x**2 + 1/5*x**3. What is z in n(z) = 0?
-6
Let l be 1127/1736 + 1 + (-15)/12. Let x = 24/31 - l. Factor -3/8 - 3/8*z + 3/8*z**3 + x*z**2.
3*(z - 1)*(z + 1)**2/8
Let n(b) be the second derivative of -b**6/45 + b**5/5 + 7*b**4/18 + 273*b. Let n(t) = 0. What is t?
-1, 0, 7
Suppose 5*h + 21 = 3*j, -6 = 3*h + 3. Find c such that 2/11*c**4 + 16/11*c - 4/11*c**3 + 0 - 8/11*c**j = 0.
-2, 0, 2
Let f(o) be the first derivative of 4/9*o**3 - o**4 - 8/3*o + 4/15*o**5 - 32 + 2*o**2. Find s, given that f(s) = 0.
-1, 1, 2
Let x(i) be the second derivative of i**7/42 + i**6/15 - 178*i. Factor x(j).
j**4*(j + 2)
Suppose -1/2*w**2 - 7/2*w - 6 = 0. What is w?
-4, -3
Let g(a) be the first derivative of -a**7/168 + a**5/24 + 2*a**3/3 - 5. Let d(k) be the third derivative of g(k). Determine l so that d(l) = 0.
-1, 0, 1
Let z(b) be the first derivative of -3*b**5/25 + 9*b**4/10 + 3*b**3/5 - 24*b**2/5 - 36*b/5 - 252. What is j in z(j) = 0?
-1, 2, 6
Suppose 3*o - 43 = 2*k, -o + k - 3*k + 17 = 0. Suppose 13*a + 17*a - 5 - 45*a - o*a**2 - 5*a**3 = 0. What is a?
-1
Let b(u) be the second derivative of 1/3*u**2 + 22*u + 0 + 0*u**3 + 2/3*u**5 - 1/3*u**6 + 4/63*u**7 - 5/9*u**4. Determine n, given that b(n) = 0.
-1/4, 1
Let m(o) be the first derivative of 29 - 72/7*o + o**4 - 122/21*o**3 - 2/35*o**5 + 12*o**2. Factor m(h).
-2*(h - 6)**2*(h - 1)**2/7
Suppose -5 = 6*f - 23. Let y(m) be the first derivative of 5 - 1/15*m**5 + 0*m - 1/12*m**4 + 1/18*m**6 + 0*m**2 + 1/9*m**f. Factor y(s).
s**2*(s - 1)**2*(s + 1)/3
Let q(g) = 11*g**2 + 497*g + 574. Let v be q(-44). Factor 26/9*f - 2/3 - 8/9*f**v.
-2*(f - 3)*(4*f - 1)/9
Let c(t) = -18*t**3 - 22*t**2 - 2*t. Let m(q) = -18*q**3 - 20*q**2 - 2*q. Let o(s) = 4*c(s) - 5*m(s). Factor o(v).
2*v*(3*v + 1)**2
Solve -212*g**3 - 42*g**3 + 25*g + g**4 - 184*g**2 + 33*g + 4*g - 9*g**4 = 0.
-31, -1, 0, 1/4
Let n(m) = -19*m**2 - 7*m + 8. Let w(t) = -35*t**2 - 13*t + 15. Let f(v) = 11*n(v) - 6*w(v). Factor f(b).
(b - 1)*(b + 2)
Let y(x) be the first derivative of -x**6/8 + 3*x**5/20 + 9*x**4/16 - x**3/4 - 3*x**2/4 - 127. Let y(d) = 0. What is d?
-1, 0, 1, 2
Let x(m) = 48*m + 54. Let z be x(-9). Let v be (-18)/z - 4/14*-1. Factor 0 + 0*n**3 - v*n**2 + 1/3*n**4 + 0*n.
n**2*(n - 1)*(n + 1)/3
Suppose -3*o**2 + 30*o + 2*o + 72 - 3*o**3 - 2*o + 12*o = 0. Calculate o.
-3, -2, 4
Let r = -12033670/153 + 78652. Let v = r + -2/17. Suppose 0 + 0*a**2 + 2*a**4 + 14/9*a**5 + v*a**3 + 0*a = 0. Calculate a.
-1, -2/7, 0
Let m(q) be the second derivative of -q**6/10 - 129*q**5/140 - 69*q**4/28 - 9*q**3/14 - 4*q + 45. Factor m(f).
-3*f*(f + 3)**2*(7*f + 1)/7
Let x(m) be the second derivative of m**7/126 - m**6/45 + m**5/60 + 2*m + 24. Let x(i) = 0. Calculate i.
0, 1
Let b(a) = -a**2 - 3*a + 6. Let t be b(-4). Factor 12*j**2 + 78*j**t - 25 - 50*j**3 + 33 - 48*j.
-2*(j - 1)*(5*j - 2)**2
Let r(f) be the first derivative of -f**3/6 - 131*f**2/4 + 66*f + 391. Factor r(t).
-(t - 1)*(t + 132)/2
Let c(g) be the first derivative of -g**4/8 + g**3/3 + 3*g**2/4 + 93. Factor c(d).
-d*(d - 3)*(d + 1)/2
Let z(t) be the third derivative of -2*t**7/105 - 31*t**6/30 - 117*t**5/5 - 567*t**4/2 - 1944*t**3 - 379*t**2. Factor z(n).
-4*(n + 4)*(n + 9)**3
Let u(m) be the first derivative of m**7/525 - m**5/150 + 5*m**2/2 - 22. Let d(f) be the second derivative of u(f). Factor d(l).
2*l**2*(l - 1)*(l + 1)/5
Let g be (588/(-70))/(-21) + 2/(-5). Let j(a) be the first derivative of 0*a**2 + 16/3*a**3 + 4 + 4*a**4 + 4/5*a**5 + g*a. Let j(q) = 0. What is q?
-2, 0
Factor -6*i**2 + 3/2*i**