= 0. What is p?
-1, 0, 1
Let p(y) = -y**3 + y**2 + y + 2. Let k(a) = 12*a**3 - 4*a**2 - 12*a - 26. Let b(o) = 2*k(o) + 20*p(o). Factor b(c).
4*(c - 1)*(c + 1)*(c + 3)
Determine t so that 3*t + 0*t - 4*t + t**2 + 19*t + 12 + 33 = 0.
-15, -3
Let j be (13/8 + -2)/(257/(-2056)). Suppose -32/5*g**j - 32/5*g - 6/5*g**4 - 6/5 - 52/5*g**2 = 0. What is g?
-3, -1, -1/3
Let l be 21/(-6)*7/49 + (-10)/(-4). Let 1/11*k**l + 3/11*k + 0 = 0. Calculate k.
-3, 0
Suppose -x = -0*x - 2. Solve 2*v**x + 3*v - 6*v**2 + v = 0 for v.
0, 1
Let q = -3063 + 42905/14. Let a = q - 1/7. Factor 1/2*i**3 + i**4 - a*i**2 + 1/2 - 1/2*i.
(i - 1)*(i + 1)**2*(2*i - 1)/2
Suppose -63 = -5*h + 2*u, -h = -4*u - 33 + 6. Suppose -4*f + h + 9 = 0. Factor 2*b**3 - 15*b**5 + 0*b**4 - 2*b**4 + 10*b**f - b**4.
-b**3*(b + 1)*(5*b - 2)
Suppose -k = 3*z + 4, 5*z - 4*k - 11 = 5. Let n(g) be the second derivative of 5/3*g**3 + 4*g + z - 1/2*g**4 + 2*g**2. Factor n(x).
-2*(x - 2)*(3*x + 1)
Solve 12/5*j**2 + 156/5*j**3 + 15*j**4 + 0*j + 0 = 0 for j.
-2, -2/25, 0
Let q be (2/(-1) + -5)/(700/(-200)). Factor 8/3 - 10/3*r + 2/3*r**q.
2*(r - 4)*(r - 1)/3
Let l(z) be the first derivative of 5*z**4/4 - 10*z**3/3 - 65*z**2/2 - 50*z + 128. What is d in l(d) = 0?
-2, -1, 5
Let a = 512 + -506. Let d(x) = -x**3 - 2*x**2 - 2*x. Let i be d(-2). Factor -2 + 5*h**2 - 13*h**2 - i*h + a*h**2.
-2*(h + 1)**2
Let h(r) be the second derivative of r**7/840 - r**6/60 + r**5/10 + 13*r**4/12 + 8*r. Let d(j) be the third derivative of h(j). Suppose d(w) = 0. What is w?
2
Let q(u) be the second derivative of u**6/75 + 2*u**5/25 + 2*u**4/15 - 84*u. Factor q(b).
2*b**2*(b + 2)**2/5
Let a = -42 - -44. Let j(c) = -5*c**2 + 3*c. Let s(o) = -60*o**2 + 35*o. Let m(z) = a*s(z) - 25*j(z). Factor m(h).
5*h*(h - 1)
Let c(n) = 15*n**2 + 115*n + 355. Let k(b) be the first derivative of -8*b**3/3 - 57*b**2/2 - 177*b - 6. Let g(f) = 3*c(f) + 5*k(f). Factor g(o).
5*(o + 6)**2
Let z(n) be the third derivative of -n**6/1080 + n**4/18 + 5*n**3/2 - 10*n**2. Let h(a) be the first derivative of z(a). Determine f so that h(f) = 0.
-2, 2
Suppose 72*q**2 - 37*q + 4*q**3 + 80 + 0*q**3 - 95*q - 60*q + 36*q = 0. Calculate q.
-20, 1
Let i(h) be the first derivative of 0*h**2 + 0*h**5 + 0*h + 1/14*h**4 + 0*h**3 + 15 - 1/21*h**6. What is a in i(a) = 0?
-1, 0, 1
Let j be -5*(4 - (-8)/20). Let b = -19 - j. Factor -t**b - 3*t**3 - 6*t - 4 - 9*t**2 + 3.
-(t + 1)**2*(4*t + 1)
Let l = 518/195 + -151/65. Let 1/6*b**2 - 1/6*b**4 - l*b**3 + 0 + 1/3*b = 0. What is b?
-2, -1, 0, 1
Factor 2904 + 1633/6*l**2 + 1/6*l**4 - 1628*l - 37/3*l**3.
(l - 33)**2*(l - 4)**2/6
Let r(l) be the second derivative of l**7/630 + l**6/360 - l**5/90 + 7*l**2/2 - 17*l. Let p(c) be the first derivative of r(c). Suppose p(m) = 0. What is m?
-2, 0, 1
Suppose -28 = -3*y - 4*y. Let l = 23/5 - y. Suppose -3/5*k**3 + 2/5*k + 0 - 3/5*k**2 - l*k**5 + 7/5*k**4 = 0. What is k?
-2/3, 0, 1
Let i(h) be the first derivative of -5*h**2 + 10 + 5/3*h**3 - 15*h. Suppose i(u) = 0. What is u?
-1, 3
Let b(p) = 3*p**3 + 2*p**2 + p + 1. Let a(y) = -3*y**4 + 42*y**3 + 18*y**2 - 51*y + 57. Let r(k) = a(k) - 9*b(k). Determine f so that r(f) = 0.
-2, 1, 2, 4
Let p(i) = i + 1. Let g(z) = -7*z**3 + 47*z**2 - 69*z - 23. Let n(w) = g(w) - p(w). Factor n(t).
-(t - 4)*(t - 3)*(7*t + 2)
Let a = -30481 + 30484. Determine y, given that -10/9*y**a - 10/9*y**2 + 8/9 + 2/9*y**4 + 2/9*y**5 + 8/9*y = 0.
-2, -1, 1, 2
Let z(q) = 3 + q**2 - 2*q**3 - 2*q**3 + 4*q**3 + 2*q**3 + 5*q. Let s(u) = -6*u**3 - 2*u**2 - 16*u - 10. Let g(o) = 6*s(o) + 20*z(o). Factor g(p).
4*p*(p + 1)**2
Let i(g) be the first derivative of g**3 - 3/4*g**4 + 0*g - 20 + 0*g**2. Suppose i(p) = 0. Calculate p.
0, 1
Suppose 0 = 9*h - 0*h. Let g(v) be the third derivative of 5*v**2 - 4/3*v**3 + 17/30*v**5 + 0*v + 1/8*v**6 + h + 1/6*v**4. What is d in g(d) = 0?
-2, -2/3, 2/5
Find g, given that 0*g + 0*g**2 + 32*g - 5*g**2 + g**2 - 64 = 0.
4
Let c be (2/12)/(9262/264 + -35). Find s such that -6 - 15/2*s + 9/4*s**c = 0.
-2/3, 4
Let o = 65 - 56. Let q(v) = -v + 11. Let h be q(o). Factor -1/4*l**3 + 1/4*l - 1/4*l**h + 1/4.
-(l - 1)*(l + 1)**2/4
Factor -2/7*f**5 + 4/7*f**3 - 2/7*f - 4/7*f**2 + 2/7 + 2/7*f**4.
-2*(f - 1)**3*(f + 1)**2/7
Let z(o) be the second derivative of -o**7/21 + 2*o**5/5 - o**4/3 - o**3 + 2*o**2 - 224*o. Factor z(v).
-2*(v - 1)**3*(v + 1)*(v + 2)
Let i(b) be the third derivative of -17*b**2 + 0*b**4 + 1/315*b**7 + 0*b**3 - 1/90*b**5 + 0*b + 1/180*b**6 - 1/504*b**8 + 0. Factor i(q).
-2*q**2*(q - 1)**2*(q + 1)/3
Let s(j) be the second derivative of j**8/6720 - j**7/840 - j**6/720 + j**5/40 - 5*j**4/12 - 14*j. Let r(z) be the third derivative of s(z). Factor r(y).
(y - 3)*(y - 1)*(y + 1)
Suppose -2*i + 16 = 10. Let y(v) be the first derivative of -3/2*v**2 + 4 + 0*v - v**i + 3/2*v**4. Determine c so that y(c) = 0.
-1/2, 0, 1
Let h(f) be the third derivative of 0*f**3 - 1/180*f**5 + 0 + 0*f - 8*f**2 + 5/36*f**4. Let h(y) = 0. What is y?
0, 10
Let z(h) = -4*h**2 - 38*h - 100. Let q(v) be the first derivative of 4*v**3/3 + 37*v**2/2 + 100*v - 10. Let c(d) = -2*q(d) - 3*z(d). Factor c(o).
4*(o + 5)**2
Let q(w) be the second derivative of w**4/4 - 2*w**3 - 15*w**2/2 - 10*w - 2. What is l in q(l) = 0?
-1, 5
Let b(a) be the first derivative of 2*a**3/3 - 13*a**2 - 28*a - 190. Factor b(c).
2*(c - 14)*(c + 1)
Let x(q) = -10*q - 28. Suppose 3*g + 2 = -2*y - 1, -g - 8 = 3*y. Let r be x(y). What is k in 4/3*k**r + 2/3*k - 2/3 = 0?
-1, 1/2
Suppose -2*q - 12 = -2*m, -5*m = 4*q - 116 + 86. Let q - 18/5*c**2 + 4/5*c = 0. Calculate c.
0, 2/9
Let m(y) = 2*y**4 + 6*y**3 - 7*y**2 - 15*y. Let v(k) = k**4 + 3*k**3 - 3*k**2 - 7*k. Let l(r) = 3*m(r) - 7*v(r). Let l(x) = 0. Calculate x.
-2, 0, 1
Let k(a) = 2*a + 28. Let s be k(-13). Find o such that 2*o + o - 8*o - 10*o - 5*o**s = 0.
-3, 0
Let m(i) be the second derivative of -i**10/22680 - i**9/11340 + i**8/5040 + i**7/1890 - 11*i**4/6 + 5*i. Let p(b) be the third derivative of m(b). Factor p(c).
-4*c**2*(c - 1)*(c + 1)**2/3
Suppose -3*m = 4*a + 25, 0 = 3*a + 4*m + 14 + 10. Let f = a + 4. Factor f + 6/5*c + 2/5*c**2.
2*c*(c + 3)/5
Let r(s) = 16*s**3 + 2*s**2 + s. Let c be r(-1). Let a be (-40)/c*(2 - -1). Solve -4*g**2 - 3*g + 4*g - a + 11*g = 0 for g.
1, 2
Let p = -142/23 - -449/69. Let f(q) be the second derivative of 0*q**2 + p*q**4 - 6*q - 2/3*q**3 + 0. Solve f(g) = 0.
0, 1
Let c(a) = 4*a**2 - 6*a - 11. Let s be c(6). Solve 33 + 12*y**3 - 6*y**3 - 4*y**3 - 20*y**2 - s + 64*y = 0 for y.
2, 4
Let k = -33 + 37. Factor k*s**4 + 2*s**3 + 11*s**5 - 20*s**5 + 11*s**5.
2*s**3*(s + 1)**2
Let c be (-99)/(-12) - 0 - (-21)/28. Factor -46*j**3 + 4*j + 92*j**2 + 48 + c*j - 125*j + 4*j**4 + 14*j**3.
4*(j - 3)*(j - 2)**2*(j - 1)
Suppose 527*o = 521*o + 48. Suppose 17*m - o*m = 18. Determine g so that 10/3*g - 2/3*g**3 - m*g**2 - 4/3 + 2/3*g**4 = 0.
-2, 1
Factor -1/11*l**3 + 9/11*l - 5/11 - 3/11*l**2.
-(l - 1)**2*(l + 5)/11
Suppose 4*q + 20 = 6*q. Find z, given that 0*z**3 - q*z**2 + 2*z**3 + 14*z**2 = 0.
-2, 0
Factor -a - 1/9*a**2 - 14/9.
-(a + 2)*(a + 7)/9
Let z(m) = m**3 - 4*m**2 + m + 3. Let t be z(4). Let q = -4 + t. Factor -4 + h**2 + 3*h**2 - q*h**2.
(h - 2)*(h + 2)
Let n(g) = -2*g**2 - 3. Let o(r) = -10*r**2 + 4*r - 14. Let c(a) = -4*n(a) + o(a). Factor c(y).
-2*(y - 1)**2
Let o(c) = 4*c**2 - 12*c + 6. Let r(y) = 5*y**2 - 11*y + 8. Let u(i) = 4*o(i) - 3*r(i). Find g, given that u(g) = 0.
0, 15
Suppose 2*w = -3*w. Let f = -2118 + 2122. Determine d, given that 0*d - 2/5*d**2 + w + 6/5*d**f - 4/5*d**3 = 0.
-1/3, 0, 1
Let i(w) = -w**3 - 10*w**2 - 11*w - 7. Let p be i(-9). Let v(h) = 31*h**2 + 49*h. Let a(s) = 6*s**2 + 10*s. Let d(c) = p*a(c) - 2*v(c). Solve d(k) = 0.
-3, 0
Let b(o) be the first derivative of 7*o**6/150 - o**5/50 - 7*o**4/60 + o**3/15 + 20*o - 19. Let d(y) be the first derivative of b(y). Factor d(r).
r*(r - 1)*(r + 1)*(7*r - 2)/5
Let g(v) be the second derivative of 0*v**2 + 0*v**3 + 1/35*v**5 - 19*v + 1/21*v**4 + 0. Find n such that g(n) = 0.
-1, 0
Let z(w) = -137*w + 687. Let l be z(5). Let 54/7*s - 3/7*s**l - 243/7 = 0. Calculate s.
9
Factor -32/11*y - 30/11*y**2 + 0 + 2/11*y**3.
2*y*(y - 16)*(y + 1)/11
Solve -75/4 + 1/2*k**2 + 35/8*k - 1/8*k**3 = 0 for k.
-6, 5
Let j be (-3 - 100/(-32))/(54/108). Factor j*s**2 