 d(x).
-2*x**2*(x - 3)/19
Solve -5/2 + 13/4*n + 9/4*n**2 = 0 for n.
-2, 5/9
Let u be 4144/(-555) + 7 + 4/6. Factor i**2 - 9/5 - 3/5*i - u*i**3.
-(i - 3)**2*(i + 1)/5
Let c(h) be the first derivative of -1 - 5/3*h**3 + h**5 - 20*h + 25/4*h**4 - 5/6*h**6 - 20*h**2. Factor c(i).
-5*(i - 2)**2*(i + 1)**3
Suppose -10*v = -62 - 98. Let p be v/6 + 18/(-27). Factor 0*q - 2/5*q**4 + 4/5*q**p + 0 + 2/5*q**3.
-2*q**2*(q - 2)*(q + 1)/5
Let f(v) be the third derivative of -v**5/12 + 227*v**4/12 + 91*v**3/6 + 288*v**2 - 2*v. Factor f(n).
-(n - 91)*(5*n + 1)
Let w = -65 + 73. Solve 12*i**2 - 8*i + 13*i + 23*i + w = 0 for i.
-2, -1/3
Let x be -3 - (5/25 - 858/240). Let m(t) be the second derivative of 0 + 1/4*t**3 + 1/16*t**4 - 2*t + x*t**2. Factor m(w).
3*(w + 1)**2/4
Let n be (-5)/(5/6) - 0. Let m = 10 + n. Factor -3 - m*q + 10*q - 3*q**2 + 0.
-3*(q - 1)**2
Let j = 1 - -6. Suppose -41 = j*x - 125. Factor 5 + 3*d**2 + 1 - 3*d**3 - 18 + x*d.
-3*(d - 2)*(d - 1)*(d + 2)
Find f such that 1/9*f**3 + 0 + 2/9*f - 1/3*f**2 = 0.
0, 1, 2
Let z(p) be the second derivative of 1/120*p**6 - 1/40*p**5 + 0*p**4 + 5/6*p**3 + 0 - p + 0*p**2. Let c(y) be the second derivative of z(y). Factor c(t).
3*t*(t - 1)
Let j(f) be the first derivative of f**4/8 - 3*f**3/2 + 6*f**2 - 10*f - 31. Factor j(x).
(x - 5)*(x - 2)**2/2
Find g such that 80/9 - 44/9*g**2 - 6*g**4 - 56/3*g + 146/9*g**3 + 4/9*g**5 = 0.
-1, 1/2, 2, 10
Let f(i) be the third derivative of -17*i**2 + 1/480*i**6 + 1/60*i**5 + 1/32*i**4 + 0 + 0*i**3 + 0*i. Factor f(d).
d*(d + 1)*(d + 3)/4
Let m(c) be the first derivative of 17*c**6/11 + 32*c**5/11 - 9*c**4/11 - 152*c**3/33 - 3*c**2 - 8*c/11 - 278. Suppose m(n) = 0. What is n?
-1, -1/3, -4/17, 1
Let r(x) be the first derivative of -3*x**4/4 + 96*x**3 - 438. Factor r(b).
-3*b**2*(b - 96)
Factor -3*t**2 + 102*t - 316 + 63*t + 154.
-3*(t - 54)*(t - 1)
Factor -h - 2*h**3 + 1/2*h**4 + 0 + 5/2*h**2.
h*(h - 2)*(h - 1)**2/2
Let p be -5 + -8 + (-528)/(-40). Suppose 6/5*u**3 + 0*u + p*u**2 + 4/5*u**5 + 9/5*u**4 + 0 = 0. What is u?
-1, -1/4, 0
Let i(o) be the second derivative of -o**4/3 - 12*o**3 - 162*o**2 - 3*o - 1. Let i(p) = 0. What is p?
-9
Let l be (-6)/8*4270/30. Let m = -106 - l. Factor -6*a - m*a**2 - 12.
-3*(a + 4)**2/4
Suppose -1785*h + 1779*h = 0. Let -9*x**4 + h + 15/4*x**3 + 9/4*x**2 + 0*x = 0. Calculate x.
-1/3, 0, 3/4
Suppose 96 = 7*g - 37. Let t = 22 - g. Determine f so that -8*f**2 + 45*f - 45*f + 4*f**4 + 4*f**3 + 0*f**t = 0.
-2, 0, 1
Let j = 2627 + -2607. Suppose j + 8*x + 4/5*x**2 = 0. What is x?
-5
Let s(h) = -h**3 - 12*h**2 + 49*h - 10. Let m be s(3). Factor 9/5*t**3 + 0 + 0*t - 6/5*t**m - 3/5*t**4.
-3*t**2*(t - 2)*(t - 1)/5
Let f(n) = n**3 - 12*n**2 + 15*n - 20. Let k be f(11). Find m, given that 4*m**4 + 19*m + 8*m - 3*m + 17 - 32*m**2 + 11 - k*m**3 = 0.
-1, 1, 7
Let q(l) be the third derivative of -l**6/24 + 23*l**5/12 + 5*l**4/24 - 115*l**3/6 + 135*l**2. Factor q(x).
-5*(x - 23)*(x - 1)*(x + 1)
Let n be 3*(-8)/(-108) - 140/(-18). Let d(p) = p**2 - 7*p - 4. Let f be d(n). Find a, given that -1/5 - a**f - 1/5*a**5 - a - 2*a**3 - 2*a**2 = 0.
-1
Let r(s) be the first derivative of -2*s**3/3 - 35*s**2 + 21. Factor r(v).
-2*v*(v + 35)
Let k(l) = -5*l**3 - 4*l**2 - 5*l - 6. Let p(y) = -5*y**3 - 5*y**2 - 5*y - 5. Let x(w) = 5*k(w) - 6*p(w). Suppose x(r) = 0. Calculate r.
-1, 0
Let r(o) be the second derivative of 0*o**6 + 0*o**4 + 1/28*o**7 - 3/20*o**5 + 1/4*o**3 - 11*o + 0 + 0*o**2. Factor r(v).
3*v*(v - 1)**2*(v + 1)**2/2
Let y(a) = 2*a**3 + 4*a**2 - 38*a - 28. Let x(p) = 2*p**3 + p**2 - 38*p - 28. Let c(l) = -4*x(l) + 3*y(l). Factor c(k).
-2*(k - 7)*(k + 1)*(k + 2)
Let l(g) be the third derivative of -1/15*g**5 - 1/3*g**4 + 12*g**2 + 0*g**3 + 0 + 0*g. Solve l(v) = 0 for v.
-2, 0
Let r be ((-2952)/(-38745))/(4/30). Solve -2/7*q**5 + 10/7*q - 8/7*q**4 + 4/7*q**2 + r - 8/7*q**3 = 0.
-2, -1, 1
Let m(h) = -3*h**3 + 48*h**2 + 9*h - 144. Let i be m(16). Factor -2/9*r**3 + i + 2/9*r**2 + 0*r.
-2*r**2*(r - 1)/9
Let h(k) be the second derivative of -k**5/5 - 2*k**4 - 22*k**3/3 - 12*k**2 + 361*k. Factor h(n).
-4*(n + 1)*(n + 2)*(n + 3)
Let n(o) be the first derivative of 2*o**3/9 - o**2/3 - 4*o/3 - 47. Factor n(q).
2*(q - 2)*(q + 1)/3
Let p(r) be the second derivative of -r**7/147 + r**6/15 - 9*r**5/35 + 10*r**4/21 - 8*r**3/21 - 6*r + 5. Determine a, given that p(a) = 0.
0, 1, 2
Find i, given that 92*i + 18/7*i**2 - 144/7 = 0.
-36, 2/9
Let m = 78/19 - 529/152. Let r(u) be the first derivative of 1/2*u**5 + 0*u + m*u**4 - 5/4*u**2 + 9 - 5/6*u**3. Factor r(y).
5*y*(y - 1)*(y + 1)**2/2
Let u(t) be the third derivative of t**5/12 + 185*t**4/24 + 30*t**3 - 122*t**2. Solve u(p) = 0 for p.
-36, -1
Let x = 74 - 39. Let 4 + 0*h**2 - 4*h - 5*h**2 - 3*h**2 - 27*h**3 + x*h**3 + 4*h**4 - 4*h**5 = 0. What is h?
-1, 1
Find x, given that -3/4*x**5 + 0 + 0*x + 3*x**2 - 3/4*x**4 + 3*x**3 = 0.
-2, -1, 0, 2
Let u(t) = 14*t**3 + 3*t**2 - 6*t + 4. Let l be u(1). Factor 0 - l + 10*y + 86*y**2 - 81*y**2.
5*(y - 1)*(y + 3)
Factor 384 - 6*d**3 + 342*d**2 + 42*d**3 - d**3 + 672*d + 22*d**3 + 3*d**4.
3*(d + 1)*(d + 2)*(d + 8)**2
Let x(m) = m**4 - m**3 - 1. Suppose -2*b = n + 7, -n + 6 = -b - 2*n. Let d(s) = -5*s**3 + 13*s**2 - 12*s + 5. Let q(g) = b*x(g) - d(g). Factor q(l).
-(l - 2)**2*(l - 1)**2
Let u(w) = 14*w**4 - 5*w**3 - 14*w**2 + 16*w. Let q(f) = 5*f**4 - 2*f**3 - 5*f**2 + 6*f. Let a(d) = -11*q(d) + 4*u(d). Solve a(j) = 0.
-2, -1, 0, 1
Let d(i) = i**3 - 5*i**2 - i + 9. Let u be d(6). Let w be (u/(-26))/(6/(-8)). Factor 5*s**w - 3*s**2 - 6*s + 8*s.
2*s*(s + 1)
Let f be -2 - 10/(-1) - (-5 + 3). Let -2 - h**3 - 6*h**2 - 5*h - f*h - 7 - h**2 = 0. Calculate h.
-3, -1
Let p(r) = -2*r**4 - 19*r**3 - 3*r**2 - 9*r - 7. Let z(a) = -3*a**3 - a - 1. Let n(o) = -5*p(o) + 40*z(o). Find f, given that n(f) = 0.
-1/2, 1
Let l(q) be the first derivative of q**5/30 + q**4/8 + q**3/9 - 323. Suppose l(h) = 0. Calculate h.
-2, -1, 0
Let z(b) be the second derivative of -6/5*b**2 + 7/15*b**3 + 2 - 1/30*b**4 - 22*b. Factor z(x).
-2*(x - 6)*(x - 1)/5
Let i(h) be the second derivative of -1/15*h**5 - 2/3*h**3 + 0 + 1/20*h**6 - 2*h - 7/12*h**4 + 5/2*h**2. Let s(m) be the first derivative of i(m). Factor s(v).
2*(v - 2)*(v + 1)*(3*v + 1)
Let z(o) be the second derivative of -o**6/15 - o**5/2 - 4*o**4/3 - 4*o**3/3 + 2*o + 18. Solve z(c) = 0.
-2, -1, 0
Let w be 0/(-3 - 1) + 9. Let p = w - 7. Determine g so that -1 - 4*g**3 - g**2 + 2*g - 123*g**4 + 3*g**p + 122*g**4 + 2*g**5 = 0.
-1, 1/2, 1
Let t be (-1)/(-5) + (-1269)/2820 + 45/52. Suppose 0 + 2/13*p**5 + 8/13*p**2 + t*p - 6/13*p**3 - 4/13*p**4 = 0. Calculate p.
-1, 0, 2
Let h(b) = 0*b**3 - 9 + 1 - b**3 + 7*b**2 + 0*b**2 + 9*b. Let m be h(8). Suppose m*g**4 - 3*g**4 + 6*g**5 + 2*g**5 - 2*g**5 - 15*g**3 - 6*g**2 = 0. What is g?
-1, -1/2, 0, 2
Let f(p) be the third derivative of 1/240*p**5 - 5/192*p**4 - 1/16*p**3 + 12 - 1/2688*p**8 + p**2 + 0*p + 1/1680*p**7 + 1/160*p**6. Factor f(r).
-(r - 3)*(r - 1)*(r + 1)**3/8
Factor -1/2*h**3 - 1/2*h**2 + 0 + h.
-h*(h - 1)*(h + 2)/2
Let u(z) be the second derivative of 0*z**2 - 5/6*z**4 - 1/4*z**5 + 5/2*z**3 - 9 - 2*z. Factor u(a).
-5*a*(a - 1)*(a + 3)
Let q = -12 - -12. Suppose -9*t + 24 = -t. Factor -2/7*g**4 + 2/7*g**2 + 0 + q*g + 0*g**t.
-2*g**2*(g - 1)*(g + 1)/7
Let w = 4/1517 + 3014/7585. What is o in -6/5*o + 2/5 + 6/5*o**3 + w*o**2 - 4/5*o**4 = 0?
-1, 1/2, 1
Find r such that 3/4*r**4 + 42849/4*r**2 + 0 - 985527/4*r - 621/4*r**3 = 0.
0, 69
Let v(c) be the first derivative of 4/3*c**3 - 21/5*c**2 - 6/25*c**5 + 3/5*c**4 + 18/5*c + 2 - 1/15*c**6. Factor v(l).
-2*(l - 1)**3*(l + 3)**2/5
Factor -34/11*q**2 + 0 + 0*q - 1/11*q**3.
-q**2*(q + 34)/11
Let f = -119 + 119. Let u(a) be the third derivative of 0*a + 0*a**5 + 2/105*a**7 + 0*a**4 - 1/60*a**6 + f + 0*a**3 - 1/168*a**8 + 4*a**2. Solve u(t) = 0 for t.
0, 1
Let l be 1 + 1 + -2 + 6. Let c(d) = 4*d**4 - 13*d**3 - 4*d**2 + 13*d. Let m(q) = q**4 - 3*q**3 - q**2 + 3*q. Let b(f) = l*c(f) - 26*m(f). Factor b(z).
-2*z**2*(z - 1)*(z + 1)
Let l = 34 - 34. Suppose 0 = -5*q + 2*s + 22, 2*q + s = -l + 7. Factor 6*u**q + 98*u**3 - 3*u**4 - 3*u**2 - 101*u**3 + 3*u.
3*u*(u - 1)**2*(u + 1)
Let k be 1/2*(-4 + (-3 - -15)). Factor 22/3*q - k + 2/3*q**3 - 4*q**2.
2*(q - 3)*(q - 2)*(q - 1)/3
Let 