*3 + g**2 + 1. Let a(n) = 9*n**5 + 36*n**4 + 19*n**3 - 37*n**2 - 16*n + 19. Let o(f) = 2*a(f) - 6*q(f). Let o(p) = 0. What is p?
-2, -1, 2/3
Let v(i) = i**3 + 4*i**2 + 4*i. Let n be v(-3). Let x = n - -19/3. Solve 2/3 - 2*y**3 + 14/3*y**2 - x*y = 0.
1/3, 1
Let k be 2/14 - (-216)/(-1610). Let v = 239/1035 - k. Factor 2/9*p**4 + 0 - v*p**2 - 2/9*p**3 + 2/9*p**5 + 0*p.
2*p**2*(p - 1)*(p + 1)**2/9
Let d(t) = -t**3 + 13*t**2 + 3. Let q be d(13). Suppose c = -0*f + 2*f - 2, 4*c = 2*f + 4. Factor 2*w**c + 0*w**2 - 3*w**5 - 4*w**4 - 6*w**q + 7*w**3.
-w**2*(w + 1)**2*(3*w - 2)
Let i(y) = y**2 - 6*y + 4. Let t be i(5). Let c be (3/t)/(-6)*0. Find z, given that c*z + 2/3*z**2 - 2/3 = 0.
-1, 1
Suppose x + 6*o - 3*o + 378 = 0, -2*x - 765 = 3*o. Let w = -1147/3 - x. Factor 0 - w*j**3 + 98/9*j**4 - 8/9*j - 16/3*j**2.
2*j*(j - 1)*(7*j + 2)**2/9
Factor 157 + 2*u**3 - 159 + u + 5*u - 6*u**2.
2*(u - 1)**3
Let j(q) be the third derivative of -q**8/126 - 32*q**7/315 - 89*q**6/180 - 103*q**5/90 - 17*q**4/12 - q**3 - 12*q**2. Suppose j(o) = 0. What is o?
-3, -1, -1/2
Let k be 2 + ((-24)/5)/6. Let m(b) be the first derivative of 3 - 2*b + 4*b**2 + k*b**5 - 2*b**4 - 4/3*b**3. What is i in m(i) = 0?
-1, 1/3, 1
Let l(v) be the first derivative of 2/9*v**3 - 1/360*v**6 - 1/60*v**5 - 1 + 0*v + 3/2*v**2 + 0*v**4. Let y(n) be the second derivative of l(n). Factor y(o).
-(o - 1)*(o + 2)**2/3
Let l(h) be the second derivative of 0 + 5*h + 1/2*h**3 + 1/12*h**4 + 0*h**2. Factor l(x).
x*(x + 3)
Let n(a) = 30*a**3 - 75*a**2 + 45*a - 15. Let w(l) = 15*l**3 - 38*l**2 + 22*l - 8. Let c(x) = 3*n(x) - 5*w(x). Factor c(b).
5*(b - 1)**2*(3*b - 1)
Let d(f) = -f**2 + 6*f - 6. Let z be d(4). Suppose 2*w**4 - 2*w**z + w - w**5 - 5*w + 2*w + 3*w = 0. What is w?
-1, 0, 1
Let s = 10 + -7. Factor -2*g**s - 8*g - 3*g**2 + 12*g**2 - g**2.
-2*g*(g - 2)**2
Let f = -41 - -41. Find q, given that -1/2*q**2 + 0*q + q**3 + f - 1/2*q**4 = 0.
0, 1
Let u = 91/510 - 1/85. Let -u*r**2 - 1/3*r - 1/6 = 0. Calculate r.
-1
Let v(d) = 7*d**2 - 9*d + 10. Let w(u) = 57*u**2 - 72*u + 81. Let n(q) = -33*v(q) + 4*w(q). Factor n(c).
-3*(c - 2)*(c - 1)
Let h(r) be the second derivative of -7/18*r**3 - 4*r + 0 - 1/3*r**2 - 1/4*r**4 - 1/90*r**6 - 1/12*r**5. Find g such that h(g) = 0.
-2, -1
Factor -6/17*p**3 - 2/17*p + 2/17*p**4 + 0 + 6/17*p**2.
2*p*(p - 1)**3/17
Let f(t) be the second derivative of t**5/3 - 5*t**4/36 - 55*t**3/18 - 5*t**2 + 11*t. Factor f(i).
5*(i - 2)*(i + 1)*(4*i + 3)/3
Let s(n) be the third derivative of 4/3*n**3 + 0 + 4*n**2 + 1/60*n**6 + 2/3*n**4 + 0*n + 1/6*n**5. What is m in s(m) = 0?
-2, -1
Let i(u) = -9*u**2 - 9*u + 6. Let r(d) = 8*d**2 + 8*d - 5. Let t(f) = 5*i(f) + 6*r(f). Factor t(h).
3*h*(h + 1)
Factor 691*r + 65*r**3 - 80*r**4 + 375*r**3 - 45 - 485*r**2 - 1021*r.
-5*(r - 3)**2*(4*r + 1)**2
Suppose -5*l = 3*t - 37, -12 = -4*l - t + 12. Factor 5 - n**2 - 3*n**2 + l*n**2 + 2*n - 4.
(n + 1)**2
Suppose -o - 4*w + 1 - 10 = 0, -4*o - 5*w = 3. Determine z, given that 7*z**3 + 6*z**2 - z**o + 3*z - 3*z**3 = 0.
-1, 0
Let p(v) be the first derivative of 3*v**4/20 - 3*v**2/10 - 7. Factor p(j).
3*j*(j - 1)*(j + 1)/5
Suppose -3*n - 5 = t, 2*n - 3*n = 3. Let x(j) = 4 - 4*j + 3*j**3 - j**3 + 0. Let c(l) = -3*l**3 + l**2 + 7*l - 7. Let m(g) = t*c(g) + 7*x(g). Factor m(h).
2*h**2*(h + 2)
Let m(n) be the first derivative of n**6/240 + n**5/40 + n**4/16 + n**3/12 - n**2/2 + 1. Let x(d) be the second derivative of m(d). Factor x(b).
(b + 1)**3/2
Suppose 5*z = -3*j + 3*z - 28, z + 19 = -2*j. Let f = -4 - j. What is d in 50*d + f + 2*d**2 + d**2 - 41*d = 0?
-2, -1
Let f = 4 + -1. Let r(g) = -5*g**3 + 3*g**2 + 5*g + 3. Let k(n) = 11*n**3 - 7*n**2 - 11*n - 7. Let i(q) = f*k(q) + 7*r(q). Factor i(m).
-2*m*(m - 1)*(m + 1)
Let g(q) be the third derivative of 0*q**4 + 0 - 4*q**2 - 1/2*q**3 + 1/20*q**5 + 0*q. Factor g(y).
3*(y - 1)*(y + 1)
Let b(r) be the second derivative of -1/15*r**3 + 0 - 1/30*r**4 + 3*r + 0*r**2. Determine y, given that b(y) = 0.
-1, 0
Determine f, given that -6/5*f**5 - 8/5 - 48/5*f - 18*f**3 - 38/5*f**4 - 98/5*f**2 = 0.
-2, -1, -1/3
Let g(w) = -w**2 + 1. Let h(z) = -12*z**2 + 4*z + 16. Let q(a) = -28*g(a) + 2*h(a). Factor q(t).
4*(t + 1)**2
Let v(g) be the first derivative of g**5/20 + g**4/2 + 2*g**3 + 4*g**2 + 6*g + 3. Let a(f) be the first derivative of v(f). Let a(d) = 0. What is d?
-2
Let b be (-9)/21 - (-96)/28. Determine z so that -10*z**b + 4 + 2*z**4 + z**2 + 38*z + 17*z**2 - 52*z = 0.
1, 2
Let g(o) be the first derivative of 5 - 3/22*o**4 - 1/11*o**2 - 2/55*o**5 + 0*o - 2/11*o**3. Factor g(k).
-2*k*(k + 1)**3/11
Let m(g) be the first derivative of -g**5/10 + 3*g**4/8 - g**3/6 - 3*g**2/4 + g - 21. Find t such that m(t) = 0.
-1, 1, 2
Let q = 11 + -7. Let r be (-14)/q*(0 - 1). Factor -3*j**2 + j**3 - 5/2*j + r*j**4 - 1/2 + 3/2*j**5.
(j - 1)*(j + 1)**3*(3*j + 1)/2
Let 2/11*f**3 + 12/11 - 4/11*f**2 - 10/11*f = 0. Calculate f.
-2, 1, 3
Let m(q) = -10*q**3 + q**2 + q. Let v be m(-1). Let u = v + -6. Factor -3*n**3 + n + 2*n**2 - 4*n**2 + u*n**3.
n*(n - 1)**2
Determine f so that -11*f - f - 9*f**4 + 21*f**3 + 12*f**2 + 15*f**4 = 0.
-2, 0, 1/2
Suppose -2*w - 36 = -5*w. Suppose -29*t**4 - 15*t**5 + 6*t**2 - 15*t**3 + 5*t**4 + w*t**3 = 0. Calculate t.
-1, 0, 2/5
Let w(y) be the third derivative of 0*y + 1/96*y**4 + 3*y**2 + 0 - 1/480*y**6 - 1/24*y**3 + 1/240*y**5. Factor w(v).
-(v - 1)**2*(v + 1)/4
Let v(m) be the first derivative of m**4/5 - 8*m**3/15 + 2*m**2/5 - 6. Factor v(w).
4*w*(w - 1)**2/5
Solve -2 - 3/2*o**3 - 13/2*o**2 - 8*o = 0 for o.
-2, -1/3
Suppose 0 = -3*h - 25 + 7. Let k be (-16)/h - 6/9. Factor 2*i - 2*i + k*i**3.
2*i**3
Let z(l) be the second derivative of l - 2*l**2 + 0 - 1/120*l**5 - 1/12*l**3 + 1/24*l**4. Let t(h) be the first derivative of z(h). Solve t(o) = 0.
1
Let a = 602/5 - 120. Let i(u) be the first derivative of 0*u - a*u**5 + 2 + 0*u**4 + 2/3*u**3 + 0*u**2. Factor i(o).
-2*o**2*(o - 1)*(o + 1)
Let r(v) be the first derivative of -9*v**3/2 - 21*v**2/4 + 3*v + 55. Factor r(t).
-3*(t + 1)*(9*t - 2)/2
Suppose 5*v = -5*q + 90, -36 = -3*q + q + 4*v. Suppose 0 = 2*b - 2*o - o - 1, -q = -3*b - o. Factor -6 - b + 3 + 50*w**2.
2*(5*w - 2)*(5*w + 2)
Suppose 0 = 3*t - 5*v + 3 + 6, 0 = 5*t - v - 7. Factor t*y**4 + 11*y**3 + y**2 - 7*y**3 + y**2.
2*y**2*(y + 1)**2
Let k(u) be the first derivative of u**4/20 - 4*u**3/15 + u**2/2 - 2*u/5 + 16. Factor k(l).
(l - 2)*(l - 1)**2/5
Let t(r) = -r**4 - r**3 + r**2 - r + 1. Let z(p) = p**4 - p + 1. Let y(a) = -5*t(a) + 5*z(a). Factor y(i).
5*i**2*(i + 1)*(2*i - 1)
Solve 16 - 48*j + 18*j**4 - 60*j**4 + 50*j**3 - 2*j**3 + 20*j**2 + 6*j**4 = 0 for j.
-1, 2/3, 1
Factor 3/2*n**2 + 27/2*n**4 + 0*n + 0 + 9*n**3.
3*n**2*(3*n + 1)**2/2
Solve 1/2*a**2 - 1/2 + 1/2*a**3 - 1/2*a = 0.
-1, 1
Let p be ((-3339)/468 - -7)*(-9 - -1). Factor 4/13 - p*s**3 - 6/13*s - 24/13*s**2.
-2*(s + 1)**2*(7*s - 2)/13
Let h be 2 - 0 - (15/(-12))/(-1). Suppose 27/4*a**2 + h - 9/2*a = 0. What is a?
1/3
Suppose 0 = 8*i - 12 - 4. What is t in -5*t**5 + 29/5*t**i + 29/5*t**3 - 4/5 - 5*t**4 - 4/5*t = 0?
-1, -2/5, 2/5, 1
Let v(a) = 6*a**3 - 5*a + 5. Let n(y) = -y**3 + y - 1. Suppose 4*r + 2 = 6. Suppose -r + 3 = x. Let l(j) = x*v(j) + 10*n(j). Solve l(z) = 0.
0
Let w(d) be the second derivative of -7*d + 3/35*d**5 + 3/14*d**4 + 0*d**2 + 0*d**3 + 1/105*d**6 + 0. Find h such that w(h) = 0.
-3, 0
Factor -2*d**3 + 4*d**2 + 6*d**2 - 6*d**4 - 4*d + 10*d**3.
-2*d*(d - 2)*(d + 1)*(3*d - 1)
Let y(a) = -a**3 - 15*a**2 - 13*a + 3. Let k(i) = 7*i**3 + 76*i**2 + 66*i - 14. Let q(m) = 4*k(m) + 22*y(m). Let q(s) = 0. Calculate s.
-1, 1/3, 5
Suppose -32/7*w**2 + 0 - 24/7*w**4 + 0*w - 48/7*w**3 - 4/7*w**5 = 0. Calculate w.
-2, 0
Let g(l) be the second derivative of -2/5*l**5 - l**2 + 1/5*l**6 + l - 1/3*l**4 + 4/3*l**3 + 0. Factor g(h).
2*(h - 1)**2*(h + 1)*(3*h - 1)
Suppose l**3 + 9/5*l**2 - l - 7/5*l**4 - 2/5 = 0. Calculate l.
-1, -2/7, 1
Suppose -4*a + 2*c + 2 + 6 = 0, 5*a + c = -4. Factor -4/5*z + 8/5*z**3 + a - 14/5*z**2.
2*z*(z - 2)*(4*z + 1)/5
Let d be (4*(-2)/(-4) - 0) + -2. Let h(m) be the first derivative of 2/21*m**3 + 3 - 2/7*m + d*m**2. Suppose h(y) = 0. What is y?
-1, 1
Let a(p) be the third derivative of -p**6/1260 + 2*p**5/315 - 5*p**4/252 + 2*p**3/63 - 5*p**2. Factor a(n).
-2*(