d derivative of -q**6/6 + q**5/4 + 5*q**4/6 + 8*q. Factor p(b).
-5*b**2*(b - 2)*(b + 1)
Suppose -5*c + 7*c = 0. Let f(u) be the second derivative of 1/50*u**5 + c + 0*u**2 + 2*u - 1/15*u**3 - 1/15*u**4 + 2/75*u**6. Solve f(a) = 0.
-1, -1/2, 0, 1
Let j(p) = -p + 4. Let t be j(2). Suppose 2*o + 4*k = 10, 0 = -5*o + 4*k - 0*k + 11. Determine y, given that t*y**5 - 3*y - 5*y**o - y + y**3 + 6*y = 0.
-1, 0, 1
Let h be (0 - 9/45) + (-23)/(-65). Find m such that 2/13*m**3 - 2/13*m**2 + h - 2/13*m = 0.
-1, 1
Let v(t) be the third derivative of t**9/1008 - t**7/140 + t**5/40 - 7*t**3/6 - 4*t**2. Let y(j) be the first derivative of v(j). Solve y(z) = 0 for z.
-1, 0, 1
Let g(w) be the first derivative of -3 + 8*w**2 + 32/3*w**3 - 3*w + 6*w**4 + 0*w**5 - 9/10*w**6. Let i(y) be the first derivative of g(y). Factor i(p).
-(p - 2)*(3*p + 2)**3
Let w(q) = q - 5. Let t be w(6). Let h be 0 + 4 + 0 - t. Solve g**2 + g**5 - 6*g**3 - g**4 + h*g**3 + 2*g**3 = 0.
-1, 0, 1
Suppose 2*t + 16 = u + 3*u, t = -2*u + 12. Suppose 0 = -2*z + 4*g - 2*g, 0 = 4*z + g. Solve 0*a**3 + z*a**4 + 0*a + 0 + 2/7*a**u + 0*a**2 = 0.
0
Let m(x) be the third derivative of x**2 + 0*x**4 + 1/100*x**6 + 0*x**3 + 0*x**5 + 0 + 0*x + 1/350*x**7. Solve m(c) = 0.
-2, 0
Let l(w) be the first derivative of -w**4/48 + w**3/24 - 4*w - 3. Let v(y) be the first derivative of l(y). Factor v(h).
-h*(h - 1)/4
Let w(n) be the first derivative of -n**4/4 + 2*n**3/9 + n**2/6 + 5. Determine b, given that w(b) = 0.
-1/3, 0, 1
Let t be 6 - 0 - (-1 - -2). Suppose -2*k = -t*k + 21. Factor 3*h + 0*h**4 + 2 + 4*h**3 - 2*h**4 - k*h.
-2*(h - 1)**3*(h + 1)
Factor 0 + 8/19*y - 2/19*y**2.
-2*y*(y - 4)/19
Let v = 67 - 334/5. Factor v*o + 0 + 0*o**2 - 1/5*o**3.
-o*(o - 1)*(o + 1)/5
Let h = 6 - 3. Let f = 3 - -1. Factor 10*c**2 - c - 11*c**2 - c**4 + 2*c**f + c**h.
c*(c - 1)*(c + 1)**2
Let d = -1 + -11. Let r be (-4)/(-5)*(-30)/d. Suppose 2*b + b**2 + 2 - 3*b**r - 2*b = 0. What is b?
-1, 1
Let i(s) = s**3 - 4*s**2 + 6*s - 6. Let g be i(3). Let t(k) be the first derivative of 8*k**2 + 8*k - 3/2*k**4 + 1 + 2/3*k**g. Factor t(b).
-2*(b - 2)*(b + 1)*(3*b + 2)
Let c(r) = 6*r**3 - r**2. Let t be c(1). Let w be t*(-9)/(-30)*2. Let -f**2 - f**2 + 5*f**2 + 6*f + w + 0 = 0. What is f?
-1
Let l be (2/(-4))/((-2)/36). Suppose 3 = -3*p + l. Factor 0*m**2 - 2*m**p + 4*m**2.
2*m**2
Suppose 3*d - 10 = q, 0 = -d - 0*q + 2*q + 10. What is m in -29*m**d + m + 0*m**3 + 25*m**2 + 3*m**3 = 0?
0, 1/3, 1
Let r(o) be the first derivative of 0*o - 8/3*o**3 + 7 - 2*o**2 + 0*o**4 + 2/3*o**6 + 8/5*o**5. Suppose r(g) = 0. What is g?
-1, 0, 1
Let n(r) be the first derivative of -5*r**4/4 - 20*r**3/3 - 25*r**2/2 - 10*r + 34. Solve n(v) = 0 for v.
-2, -1
Suppose -4*h + 13 = 5*m, 7 = 5*h + m - 4. Factor -8/3*k**2 + h*k + 2/3.
-2*(k - 1)*(4*k + 1)/3
Let g(i) = 8*i**5 - 4*i**4 - 12*i**3 + 4*i**2 + 4*i - 6. Let p(r) = -r**5 + r**4 + r**3 - r**2 + 1. Let k(m) = -g(m) - 6*p(m). Solve k(o) = 0 for o.
-2, -1, 0, 1
Suppose 3*w = -4*g + 29, -2*w - 3*w + 10 = -g. Let x(j) be the third derivative of 0*j**4 - 1/80*j**6 + j**2 + 0*j**3 - 1/60*j**g + 0*j + 0. Factor x(s).
-s**2*(3*s + 2)/2
What is x in -8/11*x - 16/11 + 4/11*x**2 + 2/11*x**3 = 0?
-2, 2
Let m be 4/(-14) + (-1150)/(-1428). Let a = -1/51 + m. What is i in -3/2*i**3 + 0 - a*i**5 + 1/2*i**2 + 3/2*i**4 + 0*i = 0?
0, 1
Let h = 2 + 0. Suppose -z**5 - z**4 - z**3 + 4*z**5 - 2*z**h - 2*z**5 + 3*z**2 = 0. What is z?
-1, 0, 1
Factor 0*k**4 - 3/8*k**5 + 3/4*k**3 - 3/8*k + 0 + 0*k**2.
-3*k*(k - 1)**2*(k + 1)**2/8
Factor 68*p**2 + p**5 + 3*p - 66*p**2 - 2*p**4 - 4*p.
p*(p - 1)**3*(p + 1)
Suppose 22*t = 21*t. Factor -1/4*i**2 + t + 1/4*i**3 + 0*i.
i**2*(i - 1)/4
Find y such that 0 + 2/5*y**4 - 2*y**2 - 2/5*y**5 + 6/5*y**3 + 4/5*y = 0.
-2, 0, 1
Suppose 0*o = -2*o - 2*a + 70, -3*o = -5*a - 113. Let u = o - 143/4. Suppose u*p - 1/4*p**2 + 1/2 = 0. What is p?
-1, 2
Let y be (-3)/(1/((-4)/6)). Suppose -y*d + 6*d = 8. Determine j, given that 3/2*j + 1/2*j**d + 1 = 0.
-2, -1
Let k(t) = 42*t**2 + 71*t + 19. Let j(w) = 105*w**2 + 177*w + 48. Let g(l) = 5*j(l) - 12*k(l). Determine i so that g(i) = 0.
-1, -4/7
Let v(s) be the first derivative of -s**4/4 + s**3/3 + 2*s - 1. Let h be v(0). Factor 1/2*o**4 - 1/2*o**5 + 0*o - 1/2*o**h + 0 + 1/2*o**3.
-o**2*(o - 1)**2*(o + 1)/2
Let x = -15 + 11. Let v = -2 - x. Factor 1/2 - 1/2*k**v + 0*k.
-(k - 1)*(k + 1)/2
Let a(f) = -5*f**3 + 25*f**2 + 10*f - 10. Let n(w) = w - 1. Let i(m) = -a(m) + 10*n(m). Factor i(s).
5*s**2*(s - 5)
Let z(w) be the first derivative of 1/14*w**4 + 0*w + 2/35*w**5 + 0*w**3 + 0*w**2 + 2. Factor z(l).
2*l**3*(l + 1)/7
Let o be 1/(12/(-8) + 2). Determine s so that 8*s**4 + 2*s**2 + 2*s**5 - o*s**4 - 4 + 6*s**3 + 4 = 0.
-1, 0
Let p = -107 - -110. Let c(b) be the third derivative of -1/15*b**4 + 3*b**2 + 4/15*b**p + 0 - 1/50*b**5 + 0*b. Factor c(k).
-2*(k + 2)*(3*k - 2)/5
Let q = -1 - -4. Factor -8*t**4 + 7*t**2 + 5*t**3 + 4*t**3 - 4*t**2 + q*t**5 + 17*t**4.
3*t**2*(t + 1)**3
Solve 56/13*h - 16/13 - 46/13*h**3 + 12/13*h**2 + 14/13*h**4 = 0.
-1, 2/7, 2
Let y be (-7)/21 + (-75)/(-9). Find u such that -3*u**3 + 4*u + y*u**2 + 3*u**3 - 4*u**3 - 8 = 0.
-1, 1, 2
Find d such that -2/7*d**3 - 6/7*d + 8/7*d**2 + 0 = 0.
0, 1, 3
Let r = -19/5 + 67/15. Factor 0 + 0*q - r*q**3 - 4/3*q**2.
-2*q**2*(q + 2)/3
Factor -3/7*d + 0 - 6/7*d**2 - 3/7*d**3.
-3*d*(d + 1)**2/7
Let q(h) be the second derivative of 3*h**5/20 - 9*h**4/2 + 54*h**3 - 324*h**2 - 11*h. Factor q(u).
3*(u - 6)**3
Suppose 0 = 2*h + 4*r - 20, 3*r - 22 + 7 = -4*h. Solve -2/9*m**2 + 4/9*m**3 - 2/9*m**4 + h*m + 0 = 0.
0, 1
Factor 4 - 9*n - 5*n**3 - 2 + n**2 + 11*n**2.
-(n - 1)**2*(5*n - 2)
Let i(d) be the third derivative of -d**7/105 - d**6/15 + d**5/15 + d**4 - 3*d**3 - d**2. Solve i(r) = 0 for r.
-3, 1
Let l(v) = 2*v**3 - 5*v**2 - 28*v - 15. Let m(i) = 3*i**3 - 10*i**2 - 57*i - 30. Let k(u) = -7*l(u) + 3*m(u). Solve k(g) = 0 for g.
-1, 3
Let q = 323 - 1291/4. Find s, given that s**4 + 0 - q*s**5 - 5/4*s**3 + 0*s + 1/2*s**2 = 0.
0, 1, 2
Let t(i) = -i**3 + 5*i**2 + 2*i - 5. Let h be t(5). Suppose 5*r = -4*p + 2, -3*p - 5*r + h = 2*p. Factor 0*s**4 - 2*s**4 + 3*s + 2 + s - 4*s**p.
-2*(s - 1)*(s + 1)**3
Let v = -6 + 7. Let f(o) be the first derivative of -2/3*o**3 + 0*o - v + 0*o**2. Suppose f(g) = 0. What is g?
0
Let n be ((-2)/(-3))/((-3)/27). Let h(c) = c**2 + 5*c - 3. Let r be h(n). What is a in 4*a + a**4 + 7*a**r + 1 + 0*a**2 + 6*a**2 - 3*a**3 = 0?
-1
Suppose -2*l = 2*k + l - 12, -2*k + 4*l = 16. Suppose k*g - 10 = -2*g. Let -2 + 50*c**3 - 38*c**2 + 5*c**4 + 14*c - 26*c**4 + 8*c**g - 11*c**4 = 0. Calculate c.
1/2, 1
Let h(o) = -o**3 + o**2 + o + 1. Let d(a) = a**3 - 5*a**2 + 7*a + 3. Let t(b) = -d(b) + 3*h(b). Let t(m) = 0. What is m?
0, 1
Let u(n) be the second derivative of -n**4/12 - n**3/6 + n**2 - 5*n. Let u(l) = 0. What is l?
-2, 1
Let h(k) = -39*k**3 - 156*k**2 - 117*k. Let s(y) = -3*y**3 - 12*y**2 - 9*y. Let b(q) = -2*h(q) + 27*s(q). Let b(t) = 0. Calculate t.
-3, -1, 0
Let n be 36/21 - 2/(-7). Factor 1 + 14*h**3 + 5*h**2 - 7*h + 2*h**3 + 3*h**n.
(h + 1)*(4*h - 1)**2
Suppose 6*r - 10 = r. Let n(d) be the second derivative of 0 - 2*d - 1/35*d**5 + 1/147*d**7 + 1/7*d**r + 1/105*d**6 - 1/21*d**4 + 1/21*d**3. Factor n(y).
2*(y - 1)**2*(y + 1)**3/7
Let m = -1 - -5. Let 2*b + 8*b**3 + 0*b - 6*b - 2*b**3 - 2*b**m - 2*b**5 + 2*b**2 = 0. Calculate b.
-2, -1, 0, 1
Factor 2/3*j**2 + 2/9*j + 0.
2*j*(3*j + 1)/9
Suppose -2 = 3*j - 44. Suppose -3*n = -4*q - j, -8 = -3*n - 2*q + 3*q. Determine k, given that 0*k - 2/7*k**n + 2/7 = 0.
-1, 1
Let r = 104 + -726/7. Let r*f**2 - 2/7*f + 0 = 0. What is f?
0, 1
Suppose 4*t + 0*t = -16, -2*k - 4 = t. Let d = 5 + k. Factor -2/7*z**3 + 2/7*z**4 + 0*z - 2/7*z**2 + 2/7*z**d + 0.
2*z**2*(z - 1)*(z + 1)**2/7
Let d(z) = -6*z**3 - 183*z**2 + 666*z - 729. Let b(s) = s**3 + 26*s**2 - 95*s + 104. Let r(w) = 27*b(w) + 4*d(w). Factor r(x).
3*(x - 4)*(x - 3)**2
Factor -1/2*p**3 - 1/6*p**4 - 1/2*p**2 + 0 - 1/6*p.
-p*(p + 1)**3/6
Factor -2/5*r**2 + 0 + 4/5*r.
-2*r*(r - 2)/5
Let l(h) be the third derivative of 2*h**7/315 + h**6/45 - h**4/9 - 2*h**3/9 - 7*h**2. Factor l(r).
4*(r - 1)*(r + 1)**3/3
Let h(g) be the second derivative of 3*g**4/20 + 7*g**3/10 + 3*g**2/5 + 8*g. Let h(a) = 0. What is a?
-2