5 - p**4 + 11/6*p**3 - 2*p + 4/3 = 0.
-1, 1, 2
Suppose -w = -3*w + 7*w. Let r(d) = -d + 3. Let n be r(w). Factor 8/7*l**n + 2/7*l**2 - 8/7*l - 2/7.
2*(l - 1)*(l + 1)*(4*l + 1)/7
Let t(p) = 2*p**3 - 6*p**2 + 2. Let k(o) = 3*o - 2*o - 3 + 5*o**2 + 2*o**2 - 2*o**3. Suppose 6 = -4*a + 6*a. Let c(m) = a*t(m) + 2*k(m). What is b in c(b) = 0?
0, 1
Let j be 6/(-9)*2685/20. Let k = 90 + j. Factor 0 + 0*c**3 + k*c**2 - 1/3*c - 1/6*c**4.
-c*(c - 1)**2*(c + 2)/6
Let a = 4154/815 - 570/163. Solve -8/5*s**2 - 4/5*s**5 + 0*s + 4/5*s**3 + 0 + a*s**4 = 0.
-1, 0, 1, 2
Let m(a) be the third derivative of -a**8/47040 + a**7/2940 - a**6/420 + a**5/15 - 11*a**2. Let b(v) be the third derivative of m(v). Factor b(j).
-3*(j - 2)**2/7
Suppose -2*k + 13 = 3*h, 7 = 5*k - 2*h + 3. What is b in -11*b + 6*b + k*b + 10*b - b**2 = 0?
0, 7
Let z(u) = -u**2 - 30*u - 71. Let f be z(-27). Suppose f*m + 6 = 13*m. Find i such that -3/2*i**2 + 1/2*i**4 - m + 4*i - i**3 = 0.
-2, 1, 2
Let b be (1*-4)/(1005/40 + -26). Let 0 - b*d + 6/7*d**3 - 1/7*d**5 + 5/7*d**4 - 32/7*d**2 = 0. What is d?
-2, -1, 0, 4
Let n(k) be the second derivative of k**5/20 + 5*k**4/12 - k**3 - 41*k. Factor n(t).
t*(t - 1)*(t + 6)
Let f(b) be the second derivative of b**5/110 + b**4/22 - 4*b**2/11 - 458*b. Solve f(l) = 0 for l.
-2, 1
What is s in 3/7*s**3 + 21 + 27*s + 45/7*s**2 = 0?
-7, -1
Let p = -35 - -38. Factor 93*y**p - 160*y**2 - 80*y - 45*y**2 + 60 + 16*y**3 - 34*y**3.
5*(y - 3)*(3*y + 2)*(5*y - 2)
Let q be (3 - (-63)/(-18))*(-1 - -1). Let u(n) be the second derivative of q*n**3 + 0 + 1/20*n**4 + 0*n**2 - 3*n. Let u(d) = 0. What is d?
0
Let h(x) be the second derivative of 16/3*x**2 + 0 + 4/9*x**3 - 1/9*x**4 + 20*x. Find d such that h(d) = 0.
-2, 4
Let a(y) = -40*y - 2*y**3 + 5 + 19*y + 21*y - 12*y**2. Let n(h) = 3*h**3 + 18*h**2 - 7. Let o(u) = -7*a(u) - 5*n(u). Factor o(t).
-t**2*(t + 6)
Let x be (-5330)/(-10725) + 4/(-30). Factor 0 + x*i - 2/11*i**2.
-2*i*(i - 2)/11
Let c(h) be the third derivative of -h**6/1140 + 3*h**5/190 - 5*h**4/76 + 7*h**3/57 + 265*h**2. Let c(n) = 0. Calculate n.
1, 7
Let f(x) be the second derivative of 0 + 2/15*x**6 - 8*x - 4/21*x**3 - 19/70*x**5 + 25/84*x**4 + 1/14*x**2 - 4/147*x**7. Let f(h) = 0. Calculate h.
1/2, 1
Let a(s) be the third derivative of -5*s**8/336 - s**7/42 + 11*s**6/8 - 21*s**5/4 + s**2 + 69*s. Determine f, given that a(f) = 0.
-7, 0, 3
Let r be 219/27 + (-1 - 4). Let o = r + -122/45. Factor 1/5*n**5 + 1/5*n**2 - 3/5*n**3 + o*n - 1/5*n**4 + 0.
n*(n - 2)*(n - 1)*(n + 1)**2/5
Let q(p) = 2*p**3 + 13*p**2 - 17*p. Let c(r) be the second derivative of r**5/20 + r**4/3 - r**3 - r. Let s(y) = 17*c(y) - 6*q(y). Let s(x) = 0. What is x?
0, 2
Let o = -57 + 102. Factor -h + 99*h**3 + 8*h**5 + 19*h**5 + o*h**2 + 87*h**4 - 3*h + 10*h.
3*h*(h + 1)**3*(9*h + 2)
Let a(d) = 3*d**3 - 2*d + 1. Let o be a(1). Factor 258*h**2 - 24*h + 255*h**o + 48 - 510*h**2.
3*(h - 4)**2
Let a be 10/(-4)*(-12)/5. Factor a*r**2 - 16*r**2 + 7*r**2 + 6*r.
-3*r*(r - 2)
What is p in -4*p**2 + 2*p**4 - 2/3*p - 2/3*p**5 + 4/3*p**3 + 2 = 0?
-1, 1, 3
Let s be 9*(-22)/(-99) - 2. Factor 4/3*y**5 + 8/3*y**3 + s*y + 0 - 10/3*y**4 - 2/3*y**2.
2*y**2*(y - 1)**2*(2*y - 1)/3
Find c such that 15/4*c**3 + 14 - 15*c - 5/2*c**2 - 1/4*c**4 = 0.
-2, 1, 2, 14
Suppose -2*x + 6 = 0, 0 = -4*h - h - x + 3. Find r, given that r - 18 + 0*r**3 - 3*r**3 + 20*r + h*r = 0.
-3, 1, 2
Let v = -44526/35 - -8908/7. Determine w so that -14/5*w - 6/5 - 2*w**2 - v*w**3 = 0.
-3, -1
What is j in -98/5 - 6*j**2 + 2/5*j**3 + 126/5*j = 0?
1, 7
Suppose -165058 - 45*g**2 - 5*g**3 - 51*g - 4*g**3 + 3*g**4 + 165040 = 0. What is g?
-1, 6
Let o = -1709 - -2438. Solve -4*h**5 - 729*h - 20*h**2 + 20*h**4 + 4*h**3 + o*h = 0.
-1, 0, 1, 5
Let w(n) be the third derivative of n**7/560 + n**6/120 - 17*n**3/6 + 15*n**2. Let p(v) be the first derivative of w(v). Factor p(m).
3*m**2*(m + 2)/2
Suppose 90*i**3 + 84*i**4 + 66*i**4 - 89*i**2 - 120*i - 15*i**5 + 58*i**4 - 173*i**4 - 51*i**2 = 0. What is i?
-2, -2/3, 0, 2, 3
Solve 18/5*m**2 - 1/5*m**5 + 0 + 11/5*m**3 + 0*m**4 + 8/5*m = 0.
-2, -1, 0, 4
Suppose -70 = -5*g + 3*g. Suppose -4*q = 5*k - 13, -q - 4*q = -4*k + g. Suppose -7*r**2 + k*r**2 + 6*r + r + 8 - r = 0. What is r?
-1, 4
Let u be (3504/(-10))/4 - (-4)/2. Let m = 86 + u. What is f in 0*f**2 + 0 + 2/5*f**3 - m*f**4 + 0*f = 0?
0, 1
Let x(b) be the first derivative of 2*b**5/35 + 3*b**4/7 + 8*b**3/7 + 8*b**2/7 + 196. Find z, given that x(z) = 0.
-2, 0
Let g be 36/77 - (-202)/(-707). Factor -50/11 + 20/11*n - g*n**2.
-2*(n - 5)**2/11
Let f(x) be the second derivative of -1/4*x**5 + 23*x + 0 + 0*x**3 + 5/12*x**4 + 0*x**2. Determine y so that f(y) = 0.
0, 1
Factor 1/2*x**5 + 9*x**2 + 108 + 8*x**4 - 162*x + 73/2*x**3.
(x - 1)**2*(x + 6)**3/2
Solve 8*i**2 + 5*i**4 + 603121*i - i**4 - 603089*i - 20*i**3 = 0.
-1, 0, 2, 4
Suppose -2*u**2 + 5*u + 3*u**2 - 4*u**3 - 2*u**2 - 5*u**2 - u**5 + 11*u**4 - 5*u**4 = 0. What is u?
-1, 0, 1, 5
Let t(l) be the second derivative of l**5/130 - 19*l**4/39 + 7*l - 30. Factor t(q).
2*q**2*(q - 38)/13
Determine z, given that 22 + 2323 + 2439 + 1291 + 76*z + 194*z + 3*z**2 = 0.
-45
Let t = 5065/474 + -3/158. Let q = 141 - 395/3. Solve 64/3 - t*d - 4/3*d**3 - q*d**2 = 0 for d.
-4, 1
Find j such that 0 - 10/3*j**2 + 25/3*j + 1/3*j**3 = 0.
0, 5
Let n(d) be the first derivative of 2*d**3 - 3 + 0*d + d**4 - 1/2*d**2 + 1/40*d**6 + 1/4*d**5. Let y(s) be the second derivative of n(s). Factor y(g).
3*(g + 1)*(g + 2)**2
Let z = 185/132 - 3/44. Let v(i) = 161*i - 1768. Let a be v(11). Factor -4/3 + 2/3*y**a - 2/3*y + z*y**2.
2*(y - 1)*(y + 1)*(y + 2)/3
Let x be -1*4 - (3 - (2 + -2)). Let s be 16/120 + x/(-60). Factor -s*a - 1/2*a**2 + 1/4*a**3 + 1/2.
(a - 2)*(a - 1)*(a + 1)/4
Suppose -5*s = -0 - 30. Let o(g) = 2*g - 9. Let w be o(s). Factor -2/9*b**2 + 2/9*b**w - 2/9*b + 0 + 2/9*b**4.
2*b*(b - 1)*(b + 1)**2/9
Let o be -4*(9/42)/((-12)/42). Let c(s) be the second derivative of -1/48*s**4 - 6*s + 1/4*s**2 + 1/24*s**o + 0. Find t such that c(t) = 0.
-1, 2
Let y(n) be the second derivative of -n**6/55 - 3*n**5/55 + 10*n**4/11 - 24*n**3/11 + 55*n - 2. Factor y(o).
-6*o*(o - 2)**2*(o + 6)/11
Factor 0*n + 0 - n**2 + 1/4*n**3.
n**2*(n - 4)/4
Suppose m - 2*f = -8, 3*f + 145 = -5*m + 157. Factor m - 3/2*h**2 - 3*h.
-3*h*(h + 2)/2
Solve 35*f**3 - 12*f**2 + 41*f**3 - 80*f**3 + 4*f + 4*f**4 + 3 + 5 = 0 for f.
-1, 1, 2
Let o(q) be the third derivative of -q**5/30 - 53*q**4/3 - 11236*q**3/3 - 6*q**2. Factor o(a).
-2*(a + 106)**2
Let i be -1 + 7 + (2 - 5). Factor 4*b + 6*b**3 - 8*b**2 - 183 + 183 - 2*b**i.
4*b*(b - 1)**2
Let o(l) = 2*l**2 - 2*l + 3. Let x(r) = 22*r**2 - 24*r + 34. Let p(u) = 68*o(u) - 6*x(u). What is a in p(a) = 0?
-2, 0
Let v(p) = -3*p**2 + 13*p + 13. Let t be v(5). Suppose t*m - 2*m + 15 = 3*d, -m + 4*d - 20 = 0. Determine o so that 0*o + m - 3/2*o**2 + 3/4*o**3 = 0.
0, 2
Suppose 141*c = 146*c. Let -3*f - 2*f**2 - 1/3*f**3 + c = 0. Calculate f.
-3, 0
Let c(w) be the third derivative of -w**8/3024 + w**7/1890 + w**6/216 - w**5/108 - w**4/54 + 2*w**3/27 - 12*w**2 + 3. What is d in c(d) = 0?
-2, -1, 1, 2
Suppose 3*c - 2*c - 2 = 0. Suppose -61*p**2 + 3*p + 59*p**c - 11*p - 8 = 0. What is p?
-2
Let i(q) = -q**2 + 7*q + 21. Let z be i(9). Suppose -2*s + 8 = w, z*w + 3*s = 7*s - 6. Let -4/7*a**4 - 2/7*a**5 + 0 + 2/7*a + 4/7*a**w + 0*a**3 = 0. What is a?
-1, 0, 1
Factor -7*t - 3*t**3 - 4*t + 28*t**2 - 6*t - t**3 - 7*t.
-4*t*(t - 6)*(t - 1)
Factor 108/7 + 104/7*o**3 - 108/7*o - 72/7*o**2 + 4/7*o**5 - 36/7*o**4.
4*(o - 3)**3*(o - 1)*(o + 1)/7
Suppose 3*i - 47 = -12*x + 7*x, 3*x - 29 = -2*i. Let r = -3 + 6. Suppose -x + 3 + 4 + 9*b**4 - 3*b**5 - 6*b**r = 0. What is b?
0, 1, 2
Let m = 2769 - 2769. Factor -4/5*a**2 - 8/5*a + m + 8/5*a**3 + 4/5*a**4.
4*a*(a - 1)*(a + 1)*(a + 2)/5
Suppose 3*v + 5*r = 30, 2*r = -2*v - 0*r + 16. Suppose 3*j = 5*b - 21, -22 = -5*b + b + v*j. What is z in 2/7 + 6/7*z**2 + 2/7*z**b + 6/7*z = 0?
-1
Let w(v) be the first derivative of 4 - 4/3*v**3 + 0*v + 4*v**2. Find h such that w(h) = 0.
0, 2
Let l(i) be the second derivative of i**7/231 + i**6/55 - 7*i**5/110 - 5*i**4/22 + 6*i**3/11 + 175*i. Find y, given that l(y) = 0.
-3, 0, 1, 2
Let r(v) be the third derivative of v**6/240 - v**5/10 + 3*v**4/4 - 362*v**2. Factor r