*p - 7/5*p**5 + 9/5*p**4 + 0 - 2/5*p**3 = 0. What is p?
0, 2/7, 1
Suppose 4*z - 3*h = 31, 0*h = -2*z - 3*h - 7. Determine j, given that 2/3*j - 4/3*j**5 + 10/3*j**z - 2*j**3 - 2/3*j**2 + 0 = 0.
-1/2, 0, 1
Let c(q) be the first derivative of q**7/84 + q**6/60 + 3*q - 1. Let d(j) be the first derivative of c(j). Factor d(n).
n**4*(n + 1)/2
Let p(w) be the second derivative of -4*w**7/105 - w**6/25 + w**5/10 + w**4/10 - w**3/15 - 6*w. Suppose p(f) = 0. What is f?
-1, 0, 1/4, 1
Determine s, given that 4/7 + 4/7*s**2 - 8/7*s = 0.
1
Let m = -3/4 - -4/5. Let d(c) be the first derivative of 2/15*c**3 - 1/10*c**2 - m*c**4 + 4 + 0*c. Factor d(q).
-q*(q - 1)**2/5
Let z(r) = -2*r**2 - 6*r + 2. Let s(j) = 6*j**2 + 19*j - 7. Let u(p) = -3*s(p) - 8*z(p). Factor u(l).
-(l + 5)*(2*l - 1)
Let g(j) = 17*j - 65. Let r be g(4). Let -2*h**r - 2/3*h - 2/3*h**4 + 0 - 2*h**2 = 0. What is h?
-1, 0
Let n(u) = -u**2 - 27. Let p be n(0). Let b = p + 57/2. Factor -3*k + 21/2*k**2 - b - 6*k**3.
-3*(k - 1)**2*(4*k + 1)/2
Let i(j) = j**2 + 3*j - 5. Let w be i(-6). Find x such that x**2 - 8*x - w*x**4 + 6*x**3 + 11*x**4 - x**2 = 0.
-1, 0, 2
Suppose -4*d = -9*d. Solve -2 + 3 - 2*u**4 + d*u**3 + 4*u**3 + 6*u**2 + 4*u + 3*u**4 = 0 for u.
-1
Let t(y) = -y**3 + 6*y**2 + 3*y - 6. Let d(h) = 15*h**3 - 96*h**2 - 48*h + 96. Let u(z) = -2*d(z) - 33*t(z). Determine g so that u(g) = 0.
-1, 1, 2
Let m(q) = q - 12. Let p be m(12). Factor 1/4*w**3 + 0*w**2 + 0 + p*w.
w**3/4
Let t(q) be the third derivative of 0*q**4 + 0*q**3 + 2/945*q**7 + 0*q - 1/135*q**5 + 1/180*q**6 + 0 + 4*q**2 - 1/504*q**8. Solve t(o) = 0 for o.
-1, 0, 2/3, 1
Let x be (-28)/(-245)*(50/(-4))/(-5). Let -4/7 - x*s + 6/7*s**2 + 2/7*s**3 - 2/7*s**4 = 0. Calculate s.
-1, 1, 2
Let i(p) be the first derivative of -p**6/6 - 2*p**5/5 + p**4/2 + 4*p**3/3 - p**2/2 - 2*p - 4. Factor i(j).
-(j - 1)**2*(j + 1)**2*(j + 2)
Let q = -17/15 + 23/20. Let l(v) be the second derivative of -1/6*v**2 + 1/6*v**3 + 0 + q*v**5 + v - 1/12*v**4. Factor l(p).
(p - 1)**3/3
Let q(b) be the second derivative of b**5/100 - b**4/6 + 16*b**3/15 - 16*b**2/5 - 24*b. Factor q(t).
(t - 4)**2*(t - 2)/5
Let l be ((-32)/15)/8*3/(-2). Let l*t**2 - 2/5*t**4 + 0 - 2/5*t**3 + 2/5*t = 0. What is t?
-1, 0, 1
Let o(q) be the first derivative of 7/3*q**3 + 3/5*q**5 - 5/2*q**4 - 2 - 4*q + 2*q**2. Find r such that o(r) = 0.
-2/3, 1, 2
Let v(q) be the third derivative of q**8/1344 - q**7/420 - 8*q**2. Determine o so that v(o) = 0.
0, 2
Let i(s) be the first derivative of -s**5/15 - s**4/3 - s**3/2 - s**2/3 + 3*s - 3. Let l(m) be the first derivative of i(m). Let l(r) = 0. Calculate r.
-2, -1/2
Let h = 4850/9 - 538. Factor h*k - 2/9*k**2 - 8/9.
-2*(k - 2)**2/9
Factor -2*h**2 - 4/9 + 10/9*h**3 + 14/9*h - 2/9*h**4.
-2*(h - 2)*(h - 1)**3/9
Let s = 4 - 2. Let -5*z - s + 0 + 0*z**2 + 0 + 7*z**2 = 0. Calculate z.
-2/7, 1
Let i(x) be the first derivative of -x**4/18 + 4*x**3/27 - x**2/9 + 5. Factor i(q).
-2*q*(q - 1)**2/9
Let i be (4/3)/(-3*40/(-36)). Factor 0*n + i*n**2 - 2/5*n**4 - 2/5*n**5 + 2/5*n**3 + 0.
-2*n**2*(n - 1)*(n + 1)**2/5
Let d = 87 + -2087/24. Let l(r) be the second derivative of 0*r**2 - 2*r - d*r**4 + 1/60*r**6 + 1/168*r**7 + 0 - 1/24*r**3 + 0*r**5. Let l(m) = 0. What is m?
-1, 0, 1
Let m be (170/168 - 1)/(30/60). Let x(r) be the third derivative of 1/210*r**5 + 0*r + 1/21*r**3 + 0 - r**2 - m*r**4. Factor x(v).
2*(v - 1)**2/7
Let j be ((5 + -1)*1)/2. Factor -4*w**2 + w**3 - 3*w**3 + 0*w**3 - j*w**3.
-4*w**2*(w + 1)
Let m(n) = 10*n**4 + 10*n**3 + 4*n**2 - 10*n - 7. Let x(z) = 9*z**4 + 9*z**3 + 3*z**2 - 9*z - 6. Let c(y) = 6*m(y) - 7*x(y). Factor c(p).
-3*p*(p - 1)*(p + 1)**2
Find a, given that 2/9*a - 2/9*a**3 - 8/9*a**2 + 0 + 8/9*a**4 = 0.
-1, 0, 1/4, 1
Let o = 21 + -16. Let g(c) be the first derivative of 0*c - 1/3*c**3 - 1/2*c**4 - 1/5*c**o + 0*c**2 - 1. Solve g(b) = 0.
-1, 0
Let s(p) be the second derivative of p**6/15 + p**5/5 + p**4/6 + 6*p. Determine n so that s(n) = 0.
-1, 0
Let q(w) be the third derivative of -w**8/3360 + w**7/420 - w**5/15 - w**4/24 + 3*w**2. Let t(k) be the second derivative of q(k). Factor t(p).
-2*(p - 2)**2*(p + 1)
Let q(o) be the third derivative of -5*o**7/14 + 21*o**6/8 - o**5/5 - 15*o**4/2 - 8*o**3 + 24*o**2. Suppose q(v) = 0. What is v?
-2/5, 1, 4
Let c(u) = -5*u**2 - u. Let v(x) = 14*x**2 + 2*x. Let i(p) = 11*c(p) + 4*v(p). Suppose i(m) = 0. Calculate m.
0, 3
Let p be ((-3)/18)/(10/(-280)). What is d in 4/3*d**3 - 6*d**5 + 0*d + 0*d**2 + 0 - p*d**4 = 0?
-1, 0, 2/9
Let k(y) be the third derivative of -4*y**2 + 1/12*y**4 + 0*y**3 + 0*y + 0*y**5 - 1/60*y**6 + 0. Suppose k(b) = 0. What is b?
-1, 0, 1
Let o(q) be the first derivative of 4 + 7/8*q**2 + 1/2*q - 1/3*q**3. Find p such that o(p) = 0.
-1/4, 2
Let g(w) be the first derivative of -w**4/30 + 2*w**3/15 - 1. Factor g(v).
-2*v**2*(v - 3)/15
Factor 4*s**2 + 0 - 4/3*s**3 - 8/3*s.
-4*s*(s - 2)*(s - 1)/3
Let c(j) = 8*j**2 + 2*j. Let r(n) = -3*n**2 - n. Let z(x) = -5*c(x) - 14*r(x). Factor z(o).
2*o*(o + 2)
Let b(c) = -c**3 + 4*c**2 - 4*c + 16. Let a be b(4). Suppose 2/5*u**4 - 6/5*u**3 + 4/5*u**2 + 0*u + a = 0. Calculate u.
0, 1, 2
Let v(l) = -l**4 - l**3. Suppose 13 + 12 = 5*g. Let b(j) = -4*j**4 - 6*j**3. Let t(k) = g*v(k) - b(k). Factor t(p).
-p**3*(p - 1)
Suppose g = -1 + 10. Find s, given that 12*s - 2 - s**3 - 18*s + g*s = 0.
-2, 1
Factor -1/9*g**2 + 1/9 + 1/9*g**3 - 1/9*g.
(g - 1)**2*(g + 1)/9
Let y(b) be the third derivative of b**5/390 + b**4/39 + 4*b**3/39 - 8*b**2. Factor y(n).
2*(n + 2)**2/13
Let h(y) = -5*y**3 + y**2 - 1. Let a be h(1). Let k = 7 + a. Factor 1/3*w + 16/3*w**3 - 8/3*w**k + 0.
w*(4*w - 1)**2/3
Let k be -5 - (2 - 2 - 1). Let b = k - -6. Factor -2/5*s**b + 0 + 0*s.
-2*s**2/5
Suppose -3 - 2 = -5*t. Let f(j) = 3*j**2 - 4*j + 1. Let s(c) = -c**2 + c. Let b(h) = t*f(h) + 4*s(h). Factor b(g).
-(g - 1)*(g + 1)
Let b(t) be the third derivative of -4*t**2 + 0*t + 0*t**4 + 0*t**7 + 0 + 1/60*t**6 - 1/168*t**8 + 0*t**5 + 0*t**3. Suppose b(s) = 0. What is s?
-1, 0, 1
Let p(o) = 2*o**2 - 3*o - 5. Let s be p(4). Factor j**4 + 15 - s.
j**4
Let r = -51 + 53. Factor -3/2*c**r + 0 + 1/2*c.
-c*(3*c - 1)/2
Let b(p) be the first derivative of -7*p**6/3 - 52*p**5/5 - 17*p**4 - 32*p**3/3 + p**2 + 4*p - 4. Factor b(x).
-2*(x + 1)**4*(7*x - 2)
Let q(k) be the first derivative of k**6/120 - 3*k**5/20 + 9*k**4/8 + 7*k**3/3 + 7. Let h(g) be the third derivative of q(g). Factor h(w).
3*(w - 3)**2
Let q be (-1)/3*(-9)/15. Factor 1/5*r**3 - q*r + 0*r**2 + 0.
r*(r - 1)*(r + 1)/5
Let r(j) = -2*j**3 - 43*j**2 + 27*j + 113. Let s be r(-22). Factor 0 + 4/5*u**5 + 12/5*u**s + 0*u - 3*u**4 + 4/5*u**2.
u**2*(u - 2)**2*(4*u + 1)/5
Let t(k) = k**2 + 9*k - 5. Let m be t(-10). Suppose -4*q - 6 = -4*d + 6, m*d - 25 = 0. Factor 0 + 0*a + 0*a**q - 2/3*a**4 - 1/3*a**5 - 1/3*a**3.
-a**3*(a + 1)**2/3
Let b(o) = -6*o**2 + 13*o - 5. Let z(n) = 3*n**2 - 7*n + 2. Let g(t) = -2*b(t) - 5*z(t). Factor g(j).
-3*j*(j - 3)
Factor 2*v**3 - 2*v**4 - 7*v**3 - 20*v**2 + 21*v**3 + 8*v - 2*v**4.
-4*v*(v - 2)*(v - 1)**2
Let q(o) = o**4 + 3*o**3 + 2*o**2 + 4*o. Let j(z) = 3*z**3 + 3*z**2 + 3*z. Let a(x) = 4*j(x) - 3*q(x). Factor a(y).
-3*y**2*(y - 2)*(y + 1)
Let o(x) = -2*x + 1. Let q be o(-1). Suppose 4 = a + 4*b, 3*b = 4*a - 2*a + q. Solve 2/7*t**2 + a*t - 2/7 = 0 for t.
-1, 1
Let f(t) be the third derivative of 3*t**2 - 1/5*t**6 + 0 - 1/112*t**8 - 1/14*t**7 + 0*t**4 + 0*t - 1/5*t**5 + 0*t**3. Factor f(n).
-3*n**2*(n + 1)*(n + 2)**2
Let h(d) = -74*d**3 + d**2 + 11. Let q(u) = -15*u**3 + 2. Let k(c) = 6*h(c) - 33*q(c). Factor k(g).
3*g**2*(17*g + 2)
Let i(s) be the first derivative of -s**4/6 - 2*s**3/9 + 2. Factor i(h).
-2*h**2*(h + 1)/3
Suppose 1 - 2 + 4*t - 1 - 2*t**2 = 0. Calculate t.
1
Let k = -11 + -1. Let m be (-1)/(-20) - k/60. Solve 0 - m*u**2 + 0*u = 0.
0
Let o(i) = i**2 + 6*i + 5. Let j(c) = -3*c**2 - 17*c - 14. Let h(f) = 4*j(f) + 11*o(f). Suppose h(u) = 0. What is u?
-1
Suppose 3*k + 9 = 5*x, 5*x - 5*k - 5 = -0. Let -20*h**2 - 7*h**3 - 32*h + 10*h**3 - 16 - 7*h**x = 0. What is h?
-2, -1
Let n(d) be the first derivative of 7*d**4/12 - d**3/24 - d**2/4 - d + 2. Let j(x) be the first derivative of n(x). Factor j(y).
(4*y + 1)*(7*y - 2)/4
Let i(s) = -4*s**2 + 9*s**3 + 4 + 6*s**2 - 6*s - 8*s**5 - 10 - 2*s**4 