*2 - 6*p**3 = 0.
-3, -1, -1/3
Factor 311 - 56*v - 215 + 0*v**2 + 3*v**2 + v**2.
4*(v - 12)*(v - 2)
Let l be (-19)/(-57) + (-10)/(-6). Let w = -131 - -394/3. Factor w*i - 1/3*i**3 + 1/3 - 1/3*i**l.
-(i - 1)*(i + 1)**2/3
Suppose -2*x = -7*x + 10. Solve 0 - a**2 - 7*a**2 - 2 - 2*a**3 + x*a**2 - 6*a = 0 for a.
-1
Let t(f) be the second derivative of -9*f + 4*f**2 - 1/2*f**4 + 0 + 0*f**3 + 1/10*f**5. Factor t(k).
2*(k - 2)**2*(k + 1)
Suppose -5/2*s**3 + 2*s + 1/2*s**4 + 1/2*s**5 + 2 - 5/2*s**2 = 0. What is s?
-2, -1, 1, 2
Let t(x) be the second derivative of -x**7/525 + x**6/300 + x**5/75 + 8*x**2 + 3*x. Let w(o) be the first derivative of t(o). Suppose w(c) = 0. Calculate c.
-1, 0, 2
Let m(z) be the second derivative of -z**5/20 + z**4/2 + z**3 + 9*z**2/2 - 18*z. Let y be m(7). Determine w, given that -1/4*w**3 - w**y - 1/2 - 5/4*w = 0.
-2, -1
Let m be 380/270 + (-2)/27. Solve -4/3 - m*s**2 - 10/3*s = 0.
-2, -1/2
Let g(o) be the third derivative of 0 + 0*o**4 + 1/24*o**5 + 0*o**6 + 0*o + 0*o**3 - 9*o**2 - 1/84*o**7. Factor g(m).
-5*m**2*(m - 1)*(m + 1)/2
Let w(n) be the second derivative of n**7/210 + n**6/75 - 3*n**5/100 - n**4/15 + 2*n**3/15 + 18*n + 1. Find x, given that w(x) = 0.
-2, 0, 1
Let n(g) be the third derivative of 1/945*g**7 - 1/270*g**6 + 0*g + 4/27*g**3 + 0 - 1/90*g**5 + 26*g**2 + 1/27*g**4. Factor n(d).
2*(d - 2)**2*(d + 1)**2/9
Suppose -2*b + 5*p + 19 = 0, 0 = -5*p + 10 + 5. Let x = b - 14. Factor 1 - o**3 - 3*o**x + o + 7*o**3 - 5*o**2.
(o - 1)**2*(3*o + 1)
Let y(n) be the second derivative of n**4/6 - 3*n**3 + 3*n**2/2 + 2*n - 3. Let t be y(9). Let -1/3*u**2 + 1/3 + 1/3*u**t - 1/3*u = 0. Calculate u.
-1, 1
Let z(o) = -14*o**3 - 2*o**2 - 8. Let h(p) = 2 + p**2 + 8*p**3 + 1 - 3*p**3. Let j(w) = -8*h(w) - 3*z(w). Factor j(b).
2*b**2*(b - 1)
Suppose -50*v + 47*v - 9 = -5*j, -4*j - 5*v + 22 = 0. Solve -1/3*m**j + 1/6*m - 1/6*m**2 + 0 = 0.
-1, 0, 1/2
Let l(x) be the second derivative of -x**6/90 + 2*x**5/15 - 2*x**4/3 - x**3/3 + 8*x. Let q(u) be the second derivative of l(u). Factor q(b).
-4*(b - 2)**2
Let p(h) be the first derivative of 6/5*h**5 + 11/2*h**4 + 8*h**3 + 0*h - 19 + 4*h**2. Factor p(v).
2*v*(v + 1)*(v + 2)*(3*v + 2)
Let p be -3*4/3*-1. Suppose -5*o = -2*d - p*o + 9, -d = o. Factor 18/7*b**d + 8/7*b**4 + 2/7*b + 12/7*b**2 + 0.
2*b*(b + 1)**2*(4*b + 1)/7
Let z(x) be the first derivative of 2*x**6/15 - 16*x**5/25 + x**4 - 8*x**3/15 + 216. Factor z(m).
4*m**2*(m - 2)*(m - 1)**2/5
Let n(m) = -4*m - 12. Let w be n(4). Let q = w - -32. Let 23*r + q - 31*r + 9*r**2 + 28*r = 0. What is r?
-2, -2/9
Suppose 0 + 76/7*k**2 + 8/7*k + 128/7*k**3 + 60/7*k**4 = 0. What is k?
-1, -2/15, 0
Let f be 16/(-154)*319/(-58). Solve -8/7 + f*x**2 + 4/7*x = 0 for x.
-2, 1
Let q(k) be the first derivative of -k**8/5880 - k**7/588 - k**6/315 + 16*k**3/3 + 16. Let o(x) be the third derivative of q(x). Factor o(c).
-2*c**2*(c + 1)*(c + 4)/7
Let v(g) be the first derivative of -g**5/5 + g**4/4 - g**2/2 + g + 8. Let t(u) = -8*u**2 - 4*u + 4. Let i(h) = -t(h) + 4*v(h). Let i(m) = 0. Calculate m.
-1, 0, 2
Let j = 112/1089 + 1/121. Suppose j*x**2 + 5/9*x + 0 = 0. What is x?
-5, 0
Let o be 517/55 - 9 - 1796/(-10). Let c = 1265/7 - o. Suppose c*h - 1/7*h**3 - 1/7*h**2 - 3/7 = 0. Calculate h.
-3, 1
Let k(f) = -2*f - 7. Let a be k(-4). Let i be a - 2 - 3*-1. Factor -3*d**3 - 13*d + 8*d - 19*d - 15*d**i - 12.
-3*(d + 1)*(d + 2)**2
Factor 6/11*l**3 - 6/11*l + 4/11 - 4/11*l**2.
2*(l - 1)*(l + 1)*(3*l - 2)/11
Let p be 0*((-28)/(-8))/7. Suppose -g - g + 3*d = -19, p = -g - 3*d - 13. Factor -m + 5*m**2 - g*m**3 - 13 + 11 + 0*m**3.
-(m - 2)*(m - 1)*(2*m + 1)
Factor -34*d + 39*d**2 - 59*d + 0*d**4 - 150 + 3*d**4 - 42*d - 454*d**3 + 481*d**3.
3*(d - 2)*(d + 1)*(d + 5)**2
Let c(a) be the first derivative of 4*a**2 - 4*a - 4/3*a**3 - 11. Let c(f) = 0. Calculate f.
1
Let w = 173 - 83. Let s = -87 + w. Determine o so that 0 + 0*o - 1/2*o**5 - 6*o**3 + s*o**4 + 4*o**2 = 0.
0, 2
Let o(j) be the first derivative of -j**9/18144 - j**8/2520 - j**7/1260 + 6*j**3 + 5. Let d(c) be the third derivative of o(c). Factor d(y).
-y**3*(y + 2)**2/6
Let f(b) be the third derivative of 0*b**3 + 0 + 7/60*b**6 - 1/35*b**7 + 0*b + 1/12*b**4 - b**2 - 1/6*b**5. What is w in f(w) = 0?
0, 1/3, 1
Let l(m) be the first derivative of -7*m**4/9 + 152*m**3/27 - 22*m**2/9 - 80*m/9 + 162. Factor l(d).
-4*(d - 5)*(d - 1)*(7*d + 4)/9
Suppose 9*u + u - 20 = 0. Let z(r) be the second derivative of -3*r**2 + 7/2*r**3 - 1/2*r**4 - 9/20*r**5 - u*r + 0. Factor z(i).
-3*(i - 1)*(i + 2)*(3*i - 1)
Let n(y) be the second derivative of y**9/98280 + y**8/43680 + 7*y**4/12 - 27*y. Let f(c) be the third derivative of n(c). What is x in f(x) = 0?
-1, 0
Solve 2*z**5 + 4*z**4 - 16*z**2 - 15*z**3 + 256*z + 8*z**3 - 256 - 26*z**3 - 7*z**3 = 0 for z.
-4, 2
Let y(f) = 3*f**3 - 17*f**2 + 6*f - 69. Let k be y(6). Let -16/15*a**2 - 2/15*a**4 + 6/5 + 4/5*a**k - 4/5*a = 0. What is a?
-1, 1, 3
Let t(w) be the second derivative of -w**5/10 - 15*w**4 - 675*w**3 - 10*w - 1. Factor t(m).
-2*m*(m + 45)**2
Suppose 0 = 4*s + 16, -4*v + 5*s + 30 = v. Suppose 0 = -2*i - 2*n, i - v*n = -0*n + 6. What is f in f**2 + 2*f**3 + 2*f**2 - f**i + 0*f**3 = 0?
-1, 0
Let 2/5*g**3 + 0*g - 108/5*g**2 + 0 = 0. Calculate g.
0, 54
Let a be ((-3)/6)/(2/(-132) - 0). What is u in a*u**3 - 11*u**4 - 2*u - 18*u**4 - 17*u**4 + 9*u**4 + 13*u**5 - 7*u**2 = 0?
-2/13, 0, 1
Factor -40 - 10*z**2 + 11*z**3 - 74*z - 4*z**4 - 3*z**3 + 14*z**2 + 5*z**4 - 31*z**2.
(z - 4)*(z + 1)**2*(z + 10)
Let c(p) = -10*p**2 + 140*p - 490. Let q(s) = 2*s**2 - 28*s + 98. Suppose 11*k = 8*k - 6. Let h(a) = k*c(a) - 11*q(a). Factor h(d).
-2*(d - 7)**2
Suppose -6*r + 16 = -2*r. Let y = r + -1. Factor 2*b**2 + y*b**3 + 2*b**3 - 3*b**3.
2*b**2*(b + 1)
Factor 106*n**2 - 3422*n**3 + 105*n + 96*n**4 - 3*n**5 + 84*n**2 + 3728*n**3 + 122*n**2.
-3*n*(n - 35)*(n + 1)**3
Let m be 54/459 + (-38)/34. Let i be 7 - (6 - m - (-12)/(-4)). Let -2*b**4 - 2/3*b - 4/3 + 10/3*b**2 + 2/3*b**i = 0. What is b?
-1, -2/3, 1
Let m(q) = -68*q - 1016. Let h be m(-15). Factor -162/7*d**5 + 0 + 40/7*d**2 - 236/7*d**3 - 2/7*d + 360/7*d**h.
-2*d*(d - 1)**2*(9*d - 1)**2/7
Let d be (-3 - (1 - 3))*-8. Let z = 12 - d. Factor 3*y**z + 6*y**2 - 12*y**2 + 3*y**2.
3*y**2*(y - 1)*(y + 1)
Let x(i) = i**3 - 10*i**2 - 41*i + 28. Let l be x(13). Let r(z) be the first derivative of -6 + 0*z**3 - 1/2*z**4 + 3*z**l + 4*z. Factor r(q).
-2*(q - 2)*(q + 1)**2
Let 554*m**3 - 279*m**3 + 20*m - 278*m**3 - 8*m + 96 - 24*m**2 = 0. Calculate m.
-8, -2, 2
Let s(h) be the first derivative of -2*h**6/9 - 4*h**5/15 + h**4 + 20*h**3/9 + 4*h**2/3 + 127. Find j, given that s(j) = 0.
-1, 0, 2
Let k(y) be the third derivative of y**6/6 - 67*y**5/15 + 43*y**4/3 - 16*y**3 - 169*y**2. Factor k(n).
4*(n - 12)*(n - 1)*(5*n - 2)
Let h(q) be the third derivative of q**6/180 + 17*q**5/360 + q**4/36 - 59*q**2. Factor h(j).
j*(j + 4)*(4*j + 1)/6
Let i(r) be the third derivative of r**8/896 - r**6/160 + r**4/64 - 107*r**2. Factor i(t).
3*t*(t - 1)**2*(t + 1)**2/8
Let v(g) be the third derivative of 0 + 1/30*g**5 - 1/35*g**7 - 5/12*g**4 + 2/3*g**3 + 1/12*g**6 + 0*g - 7*g**2. Find j such that v(j) = 0.
-1, 2/3, 1
Let c(v) = -v**3 - 5*v**2 + 23*v - 8. Let l be c(-8). Find r, given that 0 + 0*r**2 - 4/11*r**4 - 2/11*r**5 + l*r - 2/11*r**3 = 0.
-1, 0
Factor 56/11 + 1/11*g**2 - 18/11*g.
(g - 14)*(g - 4)/11
Let s = -84 - -86. Factor 48*p - 8 + 71*p**2 + 200 - 68*p**s.
3*(p + 8)**2
Suppose 5*s - 22 = 25*h - 22*h, -5 = 5*h - 2*s. Let u be 6/(-9)*(h + -7). Let -3/8*o**u - 3/4*o + 3/8*o**2 + 3/4*o**3 + 0 = 0. Calculate o.
-1, 0, 1, 2
Let q = -5262/19 + 20723/114. Let j = 4189/42 + q. Factor -2*x - 2/7 - 16/7*x**2 + j*x**3.
2*(x - 1)*(4*x + 1)**2/7
Suppose 4*x**5 + 52/3*x - 8/3 - 64/3*x**4 - 40*x**2 + 128/3*x**3 = 0. Calculate x.
1/3, 1, 2
Let o(a) = -a**3 - a**2 - 5*a. Let x(s) = 16*s**3 + 44*s**2 + 88*s. Let g(d) = 12*o(d) + x(d). Solve g(f) = 0.
-7, -1, 0
Let f(t) be the first derivative of t**4/28 + 11*t**3/21 + 10*t**2/7 - 32*t/7 + 25. Factor f(z).
(z - 1)*(z + 4)*(z + 8)/7
Let r(w) be the first derivative of w**4/6 - 8*w**3/9 + w**2 + 200. Suppose r(s) = 0. What is s?
0, 1, 3
Suppose -39*m - 39*m = 6*m - 25*m. Factor m + 1/9*u**2 + 0*u.
u**2/9
Let g(u) = -12*u**2 + 3*