 + 1)**2*(g + 2)
Factor 6*h - 3/2*h**3 - 4 + 1/2*h**4 - h**2.
(h - 2)**2*(h - 1)*(h + 2)/2
Determine w so that 11 + 0*w**2 - 7*w + 5*w**2 - 8 - w**3 + 0*w**2 = 0.
1, 3
Let p(o) be the third derivative of -o**6/300 - o**5/75 + 6*o**2. Factor p(q).
-2*q**2*(q + 2)/5
Suppose -3*r + 46 = -2*y, -6*r = -r - 2*y - 78. Let p be (r/140)/(4/10). Suppose -2/7*f**3 + p*f + 0 + 0*f**2 = 0. Calculate f.
-1, 0, 1
Let h = 379/6 - 63. Let a(f) be the second derivative of -1/3*f**3 + f - h*f**4 + 0 + 1/10*f**5 + f**2. Suppose a(b) = 0. What is b?
-1, 1
Let h(f) be the third derivative of -f**8/84 - 4*f**7/105 - f**6/30 - 4*f**2. Factor h(u).
-4*u**3*(u + 1)**2
Let b(v) = -v + 10. Let u be b(8). Suppose u*p + 0*i = -4*i, 0 = 3*p - 4*i - 20. Factor 0*m**2 - 4*m**2 - p*m + 0*m + 2 + 6*m**2.
2*(m - 1)**2
Let m(r) = r**3 + 8*r**2 - 2*r - 7. Let w be m(-8). Suppose x - w = -2*x. Factor 25*b**4 - 8*b + x*b**3 + 8 + 9*b**3 - 7*b**4 - 22*b**2.
2*(b + 1)**2*(3*b - 2)**2
Suppose 0 = -5*h - 29 + 4. Let i(f) = -3*f**3 - 3*f**2 + 10*f - 9. Let q(x) = -x**3 - 2*x**2 + 5*x - 4. Let d(k) = h*q(k) + 2*i(k). Factor d(s).
-(s - 2)*(s - 1)**2
Let r(s) be the second derivative of -s**4/3 + 2*s**3 - 4*s**2 + 3*s. Find h, given that r(h) = 0.
1, 2
Suppose 0*z - 2 = -z. Let q(p) be the first derivative of -2 + z*p - 1/3*p**3 - 1/2*p**2. Factor q(v).
-(v - 1)*(v + 2)
Let i(t) be the first derivative of t**3/9 - t**2/2 + 2*t/3 - 10. Find r, given that i(r) = 0.
1, 2
Let j = 10 + -7. Let i(w) be the first derivative of 2 + 0*w + 1/8*w**2 + 0*w**j - 1/16*w**4. Determine x, given that i(x) = 0.
-1, 0, 1
Let v(q) be the first derivative of -q**5/25 - q**4/20 + q**3/15 + q**2/10 - 13. Factor v(y).
-y*(y - 1)*(y + 1)**2/5
Let s be 53/30 - 36/216. Find a, given that -s*a**3 + 6/5*a**2 + 2/5*a + 0 = 0.
-1/4, 0, 1
Suppose -2/3*o**2 - 4/3*o**3 + 0*o - 2/3*o**4 + 0 = 0. What is o?
-1, 0
Factor -12/11*s**2 + 10/11*s + 0 + 2/11*s**3.
2*s*(s - 5)*(s - 1)/11
Let t be 26/6 + (-2 - 2). Factor -1/6*p**2 - t*p - 1/6.
-(p + 1)**2/6
Let a(d) = 4*d**5 + 3*d**4 - 9*d**3 + d**2 - 5 + 2*d**5 + 12*d**3. Let o(s) = s**5 - 1. Let i(g) = -2*a(g) + 10*o(g). Solve i(y) = 0 for y.
-1, 0
Let x(p) be the third derivative of -1/10*p**3 + 0 + 3*p**2 + 1/100*p**5 + 1/200*p**6 + 0*p - 1/40*p**4. Factor x(q).
3*(q - 1)*(q + 1)**2/5
Suppose -m**4 - 135 + 135 + 2*m**3 - 2*m + m**2 = 0. What is m?
-1, 0, 1, 2
Let b(i) be the third derivative of -1/105*i**7 + 1/30*i**5 + 0*i**3 + i**2 + 0*i**6 + 0 + 0*i**4 + 0*i. Factor b(x).
-2*x**2*(x - 1)*(x + 1)
Let x(u) = u**3 + 3*u**2 - u + 7. Suppose 0 = m - 5*m + 20. Let h(s) = s**2 + 1. Let g(a) = m*h(a) - x(a). Factor g(y).
-(y - 2)*(y - 1)*(y + 1)
Let z = -111 - -113. Find v such that 2/3 - 1/3*v - 3*v**3 - 4*v**z = 0.
-1, -2/3, 1/3
Let f(m) be the first derivative of m**4/12 + m**3/3 - 3*m**2/2 + 5*m/3 + 34. Let f(o) = 0. Calculate o.
-5, 1
Let k be 1/(0 + 20/(-28)). Let b = 87/55 + k. Let -2/11*s**3 - 2/11*s**4 + b*s**2 + 2/11*s + 0 = 0. Calculate s.
-1, 0, 1
Let m(x) be the first derivative of -3 - 5/6*x**3 - 3/8*x**4 - 1/2*x**2 + 0*x. Factor m(v).
-v*(v + 1)*(3*v + 2)/2
Let x(o) be the third derivative of -2/105*o**7 + 1/20*o**5 - 1/30*o**6 + 0*o + 1/6*o**3 + 0 + o**2 + 1/6*o**4. Factor x(s).
-(s - 1)*(s + 1)*(2*s + 1)**2
Let t(j) be the second derivative of j**4/6 - 4*j**2 - 9*j. Solve t(d) = 0.
-2, 2
Let g(f) be the first derivative of -3*f**4/2 + 5*f**3 - 9*f**2/2 - 8. Factor g(o).
-3*o*(o - 1)*(2*o - 3)
Factor 2/3*s - 1/3*s**2 + 1.
-(s - 3)*(s + 1)/3
Suppose -40*n + 36*n = -12. Determine v so that 5/3*v**n + 4/3*v + 0 - 1/3*v**4 - 8/3*v**2 = 0.
0, 1, 2
Let a be (182/(-117) - 2)/(2/(-1)). Let 4/9*i**3 - 4/3*i - 2/9 + 8/9*i**5 + 2*i**4 - a*i**2 = 0. What is i?
-1, -1/4, 1
Let l(y) be the first derivative of 2*y**3/9 + y**2 + 4*y/3 + 20. Find v, given that l(v) = 0.
-2, -1
Let z(d) be the third derivative of 0*d - 2*d**2 + 0 - 9/20*d**5 + 3/4*d**4 - 1/2*d**3 + 1/10*d**6. Factor z(p).
3*(p - 1)**2*(4*p - 1)
What is u in 5*u**2 - 76 + 52 - 20*u + 39 = 0?
1, 3
Let i(k) be the first derivative of 8/5*k**2 - 8/5*k + 14/15*k**3 - 1/2*k**4 + 4. Find m, given that i(m) = 0.
-1, 2/5, 2
Let o(w) be the third derivative of -w**9/3528 - w**8/735 - w**7/420 - w**6/630 - w**3/6 + w**2. Let s(a) be the first derivative of o(a). Factor s(i).
-2*i**2*(i + 1)**2*(3*i + 2)/7
Let p(m) be the second derivative of -5*m**4/24 - 5*m**3/6 - 5*m**2/4 - 5*m - 6. Let p(f) = 0. What is f?
-1
Let r = 66/23 + -358/253. Solve 2/11*p**2 - r*p + 32/11 = 0 for p.
4
Solve 18*n**5 + 6*n**4 - 151*n**4 + 112*n - 16 + 10*n**5 - 280*n**2 + 304*n**3 - 3*n**5 = 0 for n.
2/5, 1, 2
Let u be (-2)/20 + (-1)/(-3). Let x(k) be the second derivative of 0*k**3 + 1/9*k**4 + 0 + 0*k**2 - 4*k + 1/15*k**6 - u*k**5. Suppose x(n) = 0. What is n?
0, 1/3, 2
Let q(c) = 0*c + 2*c**2 - c + 3 + 4*c. Let n(r) = r + 1. Let l(h) = h**3 - h**2 - 4*h + 3. Let a be l(2). Let s(m) = a*q(m) - 5*n(m). Factor s(w).
-2*(w + 2)**2
Let m(n) be the first derivative of 2*n + 1/3*n**3 - 1/4*n**4 + 1/15*n**5 - 1/6*n**2 - 2. Let f(k) be the first derivative of m(k). Find h, given that f(h) = 0.
1/4, 1
Let r(j) be the second derivative of j**6/45 - j**5/30 - j**4/18 + j**3/9 - 21*j. What is a in r(a) = 0?
-1, 0, 1
Let k(n) be the third derivative of -n**8/784 - n**7/70 - 2*n**6/35 - 3*n**5/35 + 4*n**2 - 9*n. Solve k(l) = 0 for l.
-3, -2, 0
Let f = -5 - -9. Let w be f/22 - (-124)/44. Determine c, given that 0*c**3 - c**2 - 2*c**3 + c**w = 0.
-1, 0
Let r = -2 - 0. Let f(v) = 3*v**2 + v. Let o(m) = 16*m**2 + 4*m - 1. Let h(i) = r*o(i) + 11*f(i). Determine k so that h(k) = 0.
-2, -1
Let k be (-16)/24 + 50/24. Let r = k - 3/4. Suppose 1/3*z**3 + 1/3*z + 0 + r*z**2 = 0. Calculate z.
-1, 0
Let a(v) be the first derivative of 0*v**2 + 5/12*v**4 + 1/10*v**5 - 1/6*v**6 - 2 + v - 1/3*v**3. Let h(d) be the first derivative of a(d). Factor h(k).
-k*(k - 1)*(k + 1)*(5*k - 2)
Determine u, given that 65 + 5*u**2 + 19 - 40*u - 5 - 4 = 0.
3, 5
Let y = 34 - 34. Let u(i) be the first derivative of 0*i**2 + 1/12*i**4 + 0*i**3 - 1/15*i**5 + 3 + y*i. Let u(g) = 0. What is g?
0, 1
Determine g so that 1 + 6*g - 3*g**3 - 3*g + 8*g**2 - 4*g**4 - 2 - 3*g**2 = 0.
-1, 1/4, 1
Let c(h) = 6*h**3 + 9*h**2 + 9*h. Let r(p) = -17*p**3 - 27*p**2 - 27*p - 1. Let u(z) = -8*c(z) - 3*r(z). Factor u(f).
3*(f + 1)**3
Let j(v) = v**3 + 6*v**2 + 5*v + 2. Let t be j(-5). What is q in -3*q**t - 35 - 3*q**3 + 35 - q - q**4 = 0?
-1, 0
Let x be (-1 + 1 + 0)/(-1). Suppose 4*t + x - 8 = 0. Suppose 8/7*w**3 + 0 - 2/7*w**4 + 0*w - 8/7*w**t = 0. What is w?
0, 2
Factor -3*d**2 - d**4 + 4*d**4 + 4*d**4 - 6*d**4 - 2*d.
d*(d - 2)*(d + 1)**2
Factor -4/7*o - 2/7 - 2/7*o**2.
-2*(o + 1)**2/7
Let p be ((-7)/(-28))/(5/16). Determine m so that -6/5*m**2 - p + 14/5*m = 0.
1/3, 2
Let m = 454979/15 + -30349. Let v = -72/5 - m. Factor 2*z**2 - 16/3*z + v.
2*(z - 2)*(3*z - 2)/3
Let q = 4 + -3. Suppose -p + 1 = -q. Factor -1/2*l - 1/4 - 1/4*l**p.
-(l + 1)**2/4
Let t be 0/(2/(5 - 3)) + 2. Let w(l) be the first derivative of -1/2*l**4 + 0*l**3 + 3 + 0*l + l**t. Solve w(p) = 0.
-1, 0, 1
Let q(b) = -b**4 - b**3 + b**2. Let a(t) = -8*t**4 + t**3 + 14*t**2 - 12*t - 12. Let c(n) = a(n) - 5*q(n). Find v such that c(v) = 0.
-1, 2
Let r(g) be the first derivative of g**3 - 6*g**2 - 10. Determine p so that r(p) = 0.
0, 4
Let h = -5/53 - -263/2226. Let g(t) be the second derivative of 0 + 0*t**3 + t + 0*t**2 - h*t**4. Determine q, given that g(q) = 0.
0
Let y(t) be the first derivative of -2*t**3/9 + 5. Factor y(o).
-2*o**2/3
Let l be (-2)/5 + (-214)/(-10). Factor -19 - l - f**2 + 41.
-(f - 1)*(f + 1)
Factor 8/5*f**2 - 2/5*f**4 - 8/5*f + 2/5*f**3 + 0.
-2*f*(f - 2)*(f - 1)*(f + 2)/5
Let x = -239/4 + 60. Factor 1/4*z**3 + 0 + 0*z + x*z**4 - 1/4*z**2 - 1/4*z**5.
-z**2*(z - 1)**2*(z + 1)/4
Let s = 182 + -178. Let x(u) be the first derivative of 0*u - 1/6*u**s - 3 - 2/9*u**3 + 2/3*u**2. Factor x(g).
-2*g*(g - 1)*(g + 2)/3
Let x be (4/6)/(-1) - 140/(-147). Factor -x*k**2 + 4/7 - 2/7*k.
-2*(k - 1)*(k + 2)/7
Let q(n) = 2*n**5 - 2*n**4. Suppose 0*v = -3*v - 9. Let p(d) = -5*d**5 + 5*d**4. Let o(l) = v*p(l) - 7*q(l). Factor o(m).
m**4*(m - 1)
Let s(o) = -o**2 + 16*o - 36. Let d be s(13). Suppose 0*h**d - 1/2*h**4 + 4*h + 3/2 + 3*h**2 = 0. What is h?