 + 25*z**5 - 24*z - 2*z**3 - 8.
2*(z - 2)*(z + 1)**3*(z + 2)
Let h(x) be the third derivative of -x**5/240 - 7*x**4/96 + 2*x**2 - 45. What is t in h(t) = 0?
-7, 0
Let o(p) be the third derivative of -p**5/240 - p**4/96 - p**2 - 80*p. Factor o(z).
-z*(z + 1)/4
What is r in -38/7*r**2 + 6*r**3 - 10/7*r**4 + 0 + 10/7*r - 4/7*r**5 = 0?
-5, 0, 1/2, 1
Let h(d) be the third derivative of d**5/48 + 185*d**4/48 + 6845*d**3/24 - d**2. Factor h(n).
5*(n + 37)**2/4
Let b(p) be the first derivative of -6*p + 1/2*p**6 + 3/2*p**2 - 6/5*p**5 + 4*p**3 - 3/2*p**4 + 47. Let b(t) = 0. What is t?
-1, 1, 2
Factor -2/3*h**3 + 16/9 + 62/9*h + 40/9*h**2.
-2*(h - 8)*(h + 1)*(3*h + 1)/9
Let h be (3/(-6))/((-2)/(-120) - 0). Let j be (-10)/12*3/(h/8). Factor 0 + 4/3*n - j*n**2.
-2*n*(n - 2)/3
Let y(q) = -79*q**3 + 2*q**2 + 4*q + 1. Let u be y(-1). Let d be ((-4)/u - 0)*-12. Suppose 2/13*z**4 + 8/13*z**2 + 0*z + d*z**3 + 0 = 0. What is z?
-2, 0
Let p = 317/4 - 315/4. Let y(n) be the third derivative of 0*n - p*n**4 + 0 + 3/40*n**6 + n**2 + 0*n**5 + 0*n**3 + 1/70*n**7. Factor y(q).
3*q*(q - 1)*(q + 2)**2
Factor 1474*y**2 - 729*y**4 - 630*y**4 + 17 - 308*y + 1 - 743*y**4 + 2230*y**4 - 1312*y**3.
2*(y - 9)*(y - 1)*(8*y - 1)**2
Let -12/5*i - 9/5*i**2 + 12/5 + 3/5*i**4 + 6/5*i**3 = 0. Calculate i.
-2, 1
Factor -4/7*m**3 - 20/7*m + 1 + 18/7*m**2 - 1/7*m**4.
-(m - 1)**3*(m + 7)/7
Solve -9/11*o**2 + 1/11*o**4 + 2/11*o**3 + 8/11 - 2/11*o = 0 for o.
-4, -1, 1, 2
Suppose 11*o - 48 = 8*o. Let k be (-40)/(-18) + (-2)/9. Factor -2*m + 16*m**2 - o*m**k + 2*m**3 + 0*m**3.
2*m*(m - 1)*(m + 1)
Suppose -30 = -3*s + j, -4*s - j = j - 40. Find w, given that -52*w**5 - s*w**2 + 0*w**3 + 10*w**4 + 5*w + 0*w**3 + 47*w**5 = 0.
-1, 0, 1
Suppose 4*l - 2*l = -40. Let y be (l/70)/((-6)/35). Find w, given that 0 - y*w**3 - 7/3*w**2 - 2/3*w = 0.
-1, -2/5, 0
Let y = -13 - -17. Determine o, given that 2*o**y + 4 - 2*o**3 + 3*o**2 - 3*o**4 - 33*o + 23*o + 18*o = 0.
-2, -1, 2
Let t(p) be the third derivative of p**6/60 - 4*p**5/15 - p**4/3 + 32*p**3/3 - 8*p**2 - 23*p. Factor t(x).
2*(x - 8)*(x - 2)*(x + 2)
Let s(x) be the second derivative of -x**6/12 + 13*x**5/40 - 3*x**4/8 - x**3/12 + x**2/2 + 44*x. Let s(a) = 0. What is a?
-2/5, 1
Let w(s) = 7*s**2 - 1268*s - 133563. Let u(p) = -19*p**2 + 2537*p + 267126. Let m(v) = -2*u(v) - 5*w(v). Determine j, given that m(j) = 0.
-211
Solve 243/5 + 168/5*m**3 - 834/5*m**2 + 432/5*m - 9/5*m**4 = 0 for m.
-1/3, 1, 9
Let u be -1 + 5 + 2 + (-369)/(-12). Let p(x) be the first derivative of -2 + 21*x**3 + 12*x - u*x**4 + 36*x**2. Let p(i) = 0. What is i?
-2/7, 1
Let o(k) = k + 12. Let w be o(0). Suppose 5*h - 3 = 7. Suppose 3*n**3 - w*n**2 + n**2 - 7*n**h + 27*n = 0. Calculate n.
0, 3
Let w(z) be the first derivative of -z**6/1440 + z**4/96 + 5*z**3 + 23. Let c(o) be the third derivative of w(o). Factor c(x).
-(x - 1)*(x + 1)/4
Let w(s) be the second derivative of 27*s - 23/36*s**3 - 5/6*s**2 + 0 + 5/72*s**4. Suppose w(p) = 0. Calculate p.
-2/5, 5
Let s = -61 - -61. Suppose s = 19*t - 14*t. What is r in t + 1/3*r**2 - 2/3*r = 0?
0, 2
Let z(x) be the third derivative of -10*x**2 - 1/112*x**8 + 1/10*x**5 + 0*x + 0*x**3 + 0*x**6 + 0 - 1/35*x**7 + 1/8*x**4. Factor z(r).
-3*r*(r - 1)*(r + 1)**3
Find l such that -6/5 + 8/5*l - 2/5*l**2 = 0.
1, 3
Let i(r) be the second derivative of 16*r**5/5 + 24*r**4 + 22*r**3 + 8*r**2 - 123*r. Solve i(t) = 0.
-4, -1/4
Let 12 + 2/7*y**2 - 46/7*y = 0. What is y?
2, 21
Let z be (-2)/(-14)*-4*203/(-339). Let f = -1/113 + z. Factor -w + f*w**2 + 2/3.
(w - 2)*(w - 1)/3
Let c(p) be the third derivative of p**7/875 + 17*p**6/750 + 14*p**5/125 - 6*p**4/25 - 9*p**2 + 6. Suppose c(x) = 0. Calculate x.
-6, 0, 2/3
Determine f, given that -1 + 5/3*f - 1/3*f**3 - 1/3*f**2 = 0.
-3, 1
Let b = -7/246 - -28625/246. Let j = -114 + b. Let 2/3*h**2 - 3 + 14/3*h**3 + 1/3*h**5 + j*h**4 - 5*h = 0. Calculate h.
-3, -1, 1
Let w(x) be the first derivative of -x**6/60 - x**5/10 + x**4/3 - 2*x**2 - 17. Let g(z) be the second derivative of w(z). Factor g(l).
-2*l*(l - 1)*(l + 4)
Suppose 3*s - 6*s = -9. Find l, given that -223*l - 194*l**s - 173*l + 190*l**3 + 84*l**2 - 484 = 0.
-1, 11
Suppose -5*x + 7 = -3. Factor -6 + 3*d**2 - 9*d + 3*d**2 - x*d**2 - 7*d**2.
-3*(d + 1)*(d + 2)
Let y(v) = 1 + v**2 + v**2 + 3*v**3 - 3*v**2 - v. Let f(b) = 10*b**3 - 4*b**2 - 3*b + 4. Let i(c) = 6*f(c) - 21*y(c). Determine h so that i(h) = 0.
-1, 1
Let m(s) be the first derivative of s**7/21 - s**5/10 - 12*s - 36. Let l(f) be the first derivative of m(f). Solve l(o) = 0 for o.
-1, 0, 1
Let u = -3120 + 15606/5. What is f in -2/5 - u*f - 4/5*f**2 = 0?
-1, -1/2
Let r = 188 - 129. Let o = r + -56. Factor -16/7*a**2 - 6/7*a - 6/7*a**o + 4/7.
-2*(a + 1)*(a + 2)*(3*a - 1)/7
Let g(h) be the second derivative of 0*h**3 + 0 - 8*h + 3/4*h**5 + 5/6*h**4 + 0*h**2. Factor g(i).
5*i**2*(3*i + 2)
Suppose 0 = -p - 5, 4*t - 3*p + 35 = 2*p. Let u be (6 + -11)*6/t. Factor 0 + 2/3*n**3 + 0*n**u - 2/3*n.
2*n*(n - 1)*(n + 1)/3
Factor -13/3*u**3 + 13/3*u + 1/2*u**4 - 1/2*u**2 + 0.
u*(u - 1)*(u + 1)*(3*u - 26)/6
Factor -28674*y + 2916 + 25/2*y**5 + 68067*y**2 + 670*y**4 + 23761/2*y**3.
(y + 18)**3*(5*y - 1)**2/2
Let s(r) = 11*r**2 + 19*r + 92 + 18*r**2 + 13*r**2 - 41*r**2. Let y be s(-9). Find f, given that 2/3*f**y + 0 + 4/3*f = 0.
-2, 0
Suppose 4*j - 1 = -1. Let -6/7*c**2 + 8/7 + j*c + 2/7*c**3 = 0. What is c?
-1, 2
Let z(y) = 8*y + 6. Let s be z(-2). Let f be 22/(-55) - 364/s. Factor 22 + 0*r**3 - 9*r**4 - 3*r**5 + 33*r**2 + f*r + 3*r**3 - 10.
-3*(r - 2)*(r + 1)**3*(r + 2)
Suppose 2/7*u**3 - 2/7*u + 0 + 0*u**2 = 0. Calculate u.
-1, 0, 1
Let r be 12/18 + 43/3. Let q(m) = -m**2 + 20*m + 18. Let s be q(r). Solve -3*i**5 - s*i**3 - 6*i**2 + 93*i**3 + 3*i + 6*i**4 = 0.
-1, 0, 1
Let b = -3/5 + 27/20. Factor 0 - b*v + 15*v**4 - 27/2*v**3 + 21/4*v**2 - 6*v**5.
-3*v*(v - 1)*(2*v - 1)**3/4
Let u = -269 - -405. Factor 0*n**2 - 36*n**3 - 85*n - 36 - 27*n + 4 + u*n**2.
-4*(n - 2)**2*(9*n + 2)
Let i(c) be the third derivative of 0 + 0*c**4 + 1/504*c**8 + 0*c**3 - 14*c**2 + 0*c + 1/60*c**6 + 1/90*c**5 + 1/105*c**7. Suppose i(z) = 0. Calculate z.
-1, 0
Let -24/7*w**2 + 4/7*w**5 + 0 + 32/7*w**3 - 36/7*w + 24/7*w**4 = 0. What is w?
-3, -1, 0, 1
Suppose 2*g + 0 = 5*c - 6, 4 = g + c. Let o be (g/(-8))/((-3)/9). Solve -1/4*q + 0 + q**3 - o*q**2 = 0.
-1/4, 0, 1
Factor -2/9*g**2 - 34/9*g + 4.
-2*(g - 1)*(g + 18)/9
Let d(z) be the first derivative of 4/5*z**5 + 0*z**2 + 1/6*z**6 + 6 + 0*z + 2/3*z**3 + 5/4*z**4. Factor d(v).
v**2*(v + 1)**2*(v + 2)
Let a(o) be the first derivative of -o**5/300 - o**4/30 - o**3/10 + 5*o**2/2 + 11. Let s(w) be the second derivative of a(w). Find t, given that s(t) = 0.
-3, -1
Let b(i) = 0*i + 2*i**2 + i - 1 - 2*i**3 + i**2 - 5*i**2. Let z be b(-2). Determine h, given that 0*h**3 + 10*h**4 - 8*h**4 + 6*h**z - 6*h**3 - 2*h**2 = 0.
-1, -1/3, 0, 1
Let w(g) = -16*g + 16. Let o be w(-9). Let l = 162 - o. Find a such that 8/3*a + 4/3*a**l + 0 = 0.
-2, 0
Let n(d) = -d**3 - 7*d**2 - d + 5. Let r(o) = 2*o**3 + 0 - 3*o**3 - o + 6 - 2*o**2 - 6*o**2. Let s(g) = 6*n(g) - 5*r(g). Factor s(t).
-t*(t + 1)**2
Suppose -2*r = -121 + 31. Factor -3*g**2 + 43*g**3 - 3*g**2 - r*g**3.
-2*g**2*(g + 3)
Let u(l) = 3*l**2 - 6*l. Let c(t) = t**3 + 2*t**2 - 5*t. Let y be 0/4 - (-1 - -4). Let f(g) = y*c(g) + 2*u(g). Solve f(j) = 0 for j.
-1, 0, 1
Let f = 2546 - 2543. Factor 0 + 3/2*z**2 + f*z.
3*z*(z + 2)/2
Let z(y) be the third derivative of y**5/75 + 17*y**4/60 - 3*y**3/5 - y**2 + 26. Determine t, given that z(t) = 0.
-9, 1/2
Let l(p) be the first derivative of -p**3/3 + 9*p + 48. Determine g so that l(g) = 0.
-3, 3
Factor 32/13 - 18/13*j**2 + 64/13*j.
-2*(j - 4)*(9*j + 4)/13
Let f = 2989/3 + -995. Let k(j) be the second derivative of 0*j**2 + 0 - 9*j + 5/3*j**4 + 3/5*j**5 + f*j**3. Suppose k(v) = 0. What is v?
-1, -2/3, 0
Let w be 16/14 + 8*(-37)/259. Factor w - 3/4*h + 1/8*h**2 + 1/8*h**3.
h*(h - 2)*(h + 3)/8
Let g = 7 + -7. Suppose 2*x - 8 = -5*m + 5, -5*x + 5*m + 15 = g. Find c, given that 4*c**4 - 2*c**x + 5*c**4 - 4*c**4 - 3*c**3 + 3*c - 3*c**2 = 0.
-1, 0, 1
Let s(v) be the second derivative of -16/15*v**3 - 17*v + 32/5*v**2 + 1/15*v**4 + 0. Determine c so that s(c) = 0.
4
Suppose -100 + 140/3*d + 32/3*d**2 - 16/3*d**3 = 0. Ca