*(a + 2)**2*(2*a - 1)
Suppose -6*u = -0*u - 30. Suppose 5*v + i - 11 = 0, -6 = -v - u*i + i. Factor -6*a**3 - a**2 + 2*a**4 - a**2 - 2*a**5 + 10*a**3 - v*a**3.
-2*a**2*(a - 1)**2*(a + 1)
Let j(z) = z**2 + 6*z + 2. Let u be -4 - -1 - -1*(-1 - 2). Let y be j(u). Determine c so that 32/11*c**5 + 2/11*c + 0 + 20/11*c**y + 6*c**3 + 80/11*c**4 = 0.
-1, -1/4, 0
Let d be 1/(-2) + 902/(-396) - -3. Factor -d*b**3 + 0 - 2*b + 4/3*b**2.
-2*b*(b - 3)**2/9
Let x(k) = 2*k**3 - 37*k**2 + 81*k - 16. Let z be x(16). Determine f, given that -4/5*f - 8/5*f**3 - 2/5*f**4 + z - 2*f**2 = 0.
-2, -1, 0
Let v(o) be the first derivative of -o**5/120 + o**4/3 - 16*o**3/3 - 9*o**2/2 + 20. Let s(f) be the second derivative of v(f). Factor s(k).
-(k - 8)**2/2
Let u(i) be the third derivative of -1/42*i**7 + 0 - 5/24*i**4 + 1/12*i**5 + 29*i**2 + 0*i + 0*i**3 + 1/24*i**6. What is q in u(q) = 0?
-1, 0, 1
Determine u, given that -145*u + 1000 + 3*u**2 + 31*u + 83 = 0.
19
Let y(d) be the second derivative of -2*d**5/5 - 3*d**4/2 + 10*d**3 + 8*d**2 - 545*d. Solve y(m) = 0 for m.
-4, -1/4, 2
Let u(f) = f**2 + 3*f - 3. Let i(k) = -8 + 2*k**2 + 4*k - 1 + 5. Let r = 8 - 5. Let t(a) = r*i(a) - 4*u(a). Suppose t(p) = 0. Calculate p.
0
Suppose 18*o - 12506 + 3146 = 0. What is n in 517*n + 6 + 0 + 6*n**4 - 18*n**2 - 3*n**3 - o*n = 0?
-1, 1/2, 2
Let c(g) = -9*g**2 + 167*g - 158. Let y(b) = 3*b**2 - 2*b - 1. Let t(h) = -c(h) - 4*y(h). Factor t(l).
-3*(l - 1)*(l + 54)
Let n = 140 - 142. Let d be -5 + 3 + (n - -3 - -1). Find h such that d*h + 2/7*h**3 + 0 - 6/7*h**2 = 0.
0, 3
Let g be 2/(((-2)/8)/(-1)). Suppose -g*o + 4*o = -16. What is s in 16/9*s**o + 0 + 32/9*s**5 + 2/9*s**3 + 0*s + 0*s**2 = 0?
-1/4, 0
Let u be (216/224)/(60/70). Factor u*o - 27/8 + 3/8*o**3 + 15/8*o**2.
3*(o - 1)*(o + 3)**2/8
Suppose -7 = j - 5*s, 2*j - 4*s - 10 = -12. Let -3/4*w**j + 1/2*w**4 + 0 + 1/2*w - 3/4*w**2 = 0. What is w?
-1, 0, 1/2, 2
Factor 873*d + 270 + 32*d**3 - 154*d**3 + 29*d**3 + 18*d**3 + 660*d**2.
-3*(d - 10)*(5*d + 3)**2
Let d be -9*8/90*(-25)/10. Let b(w) be the second derivative of 1/4*w**4 + 5*w + 0 + 3/2*w**d + w**3. Suppose b(y) = 0. What is y?
-1
Let j = -2127 + 2129. Determine y, given that 0 - 3/2*y**j - 6*y = 0.
-4, 0
Let z be 17 + 28 + -48 + -27*3/(-24). Let 3/8*n - 15/8 - z*n**3 + 15/8*n**2 = 0. What is n?
-1, 1, 5
Suppose -2 = -c + 1. Let p(o) = 6*o**3 - o. Let d be p(1). Let 3*t + 5*t**5 - 2*t**d - 4*t**c - 2*t**3 = 0. Calculate t.
-1, 0, 1
Suppose 0*f + 26/7*f**2 + 0*f**3 - 2/7*f**4 - 72/7 = 0. Calculate f.
-3, -2, 2, 3
Let t(a) be the third derivative of a**8/1176 - a**7/147 + a**6/420 + 13*a**5/210 - a**4/42 - 8*a**3/21 + 2*a**2 - 60*a. Solve t(b) = 0.
-1, 1, 2, 4
Let c(i) = 1 + 66*i**2 - 65*i**2 - 1. Let b = -1 - 0. Let l(d) = d**3 - d**2 - d. Let g(m) = b*l(m) - c(m). Solve g(r) = 0.
-1, 0, 1
Let g(i) be the second derivative of -i**4/2 + 139*i**3/2 + 105*i**2 - 179*i + 1. Suppose g(m) = 0. Calculate m.
-1/2, 70
Let v(a) be the first derivative of a**5/150 - a**4/30 + a**3/15 + 11*a**2/2 + 5. Let d(j) be the second derivative of v(j). Factor d(s).
2*(s - 1)**2/5
Let c(h) be the first derivative of 4/7*h**3 - 1/28*h**4 + 3 + 10/7*h - 3/2*h**2. Factor c(q).
-(q - 10)*(q - 1)**2/7
Let k = 532 + -528. Factor 0*r**2 + 0*r + 0 + 3/5*r**k + 3/5*r**5 + 0*r**3.
3*r**4*(r + 1)/5
Let v(z) be the third derivative of -z**11/27720 + z**10/7200 - z**9/10080 - z**8/6720 + z**5/5 - 6*z**2. Let q(k) be the third derivative of v(k). Factor q(b).
-3*b**2*(b - 1)**2*(4*b + 1)
Let s be 2/3 + (-2480)/(-1302). Suppose s*u**2 + 32/7 - 2/7*u**3 - 48/7*u = 0. Calculate u.
1, 4
Factor 1/3*t**3 + 5041*t + 71*t**2 + 357911/3.
(t + 71)**3/3
Let h(y) be the first derivative of 4*y**5/35 + 46*y**4/7 + 2116*y**3/21 - 45. Factor h(c).
4*c**2*(c + 23)**2/7
Suppose -284/3*w**2 - 206/3*w - 6*w**3 + 20 = 0. What is w?
-15, -1, 2/9
Let q = 2726 + -13629/5. Find o, given that 0 - 1/5*o - q*o**2 = 0.
-1, 0
Let j = 92 - 81. Suppose 2*x + 6 = 4*b, -5*b - 3*x + j = -2*x. Find k, given that 0 - 2/5*k**b - 2/5*k = 0.
-1, 0
Factor -15*t**4 - 6*t**5 + t**5 - 21*t**2 - 2*t**5 + 79*t - 27*t**3 - 85*t + 4*t**5.
-3*t*(t + 1)**3*(t + 2)
Suppose -2*u + 0*u = 3*p + 49, 2*p - 4*u = -54. Let g = -17 - p. Factor 2/5*j - 2/5*j**3 + 0*j**g + 0.
-2*j*(j - 1)*(j + 1)/5
Let r(s) be the first derivative of 3*s**4/2 + 15*s**3/2 - 3*s**2 + 251. Determine j so that r(j) = 0.
-4, 0, 1/4
Let b be 2/(8/(-12)) + -6. Let o(c) = c**2 + 8*c - 5. Let x be o(b). Solve -v**x - 2*v + 3*v - 2 + v**3 - v - v + 3*v**2 = 0 for v.
-1, 1, 2
Let m(y) be the first derivative of 25392*y**5/5 - 10626*y**4 + 7033*y**3 - 1386*y**2 + 108*y + 16. Suppose m(b) = 0. Calculate b.
2/23, 3/4
Let 3/7*c**2 - 3/7*c + 3/7*c**3 + 0 - 3/7*c**4 = 0. Calculate c.
-1, 0, 1
Let -2/5*j + 8/5*j**5 - 2/5*j**2 + 18/5*j**3 + 0 - 22/5*j**4 = 0. What is j?
-1/4, 0, 1
Let f(p) be the second derivative of 3/20*p**5 + 0*p**2 - 1/2*p**4 - 12*p + 0 + 1/2*p**3. Find x, given that f(x) = 0.
0, 1
Let k(l) be the third derivative of -4/9*l**3 - 1/18*l**5 + 17*l**2 + 4/9*l**4 + 0 - 7/180*l**6 + 0*l. Factor k(v).
-2*(v - 1)*(v + 2)*(7*v - 2)/3
Let 1/8*p**2 + 0 + 1/4*p = 0. Calculate p.
-2, 0
Let y(a) = 5*a**2 + 26*a + 6. Let z(f) = -7 + 144*f - 78*f - 93*f - 5*f**2. Let i(p) = 7*y(p) + 6*z(p). Factor i(l).
5*l*(l + 4)
Let t(g) be the third derivative of -g**5/15 + g**4/3 - 3*g**2 + 26*g. Factor t(q).
-4*q*(q - 2)
Let b(d) be the third derivative of -d**5/15 + 4*d**4/3 - 10*d**3 - 15*d**2 + 28*d. Factor b(k).
-4*(k - 5)*(k - 3)
Find q such that 146/13*q**3 + 142/13*q + 0 - 22*q**2 - 2/13*q**4 = 0.
0, 1, 71
Let g(o) be the first derivative of -1/5*o**5 + 0*o**2 - 1/4*o**4 + 1/6*o**6 + 0*o - 3 + 1/3*o**3. Factor g(t).
t**2*(t - 1)**2*(t + 1)
Let i(a) be the second derivative of a**6/105 + a**5/70 + 283*a. Factor i(k).
2*k**3*(k + 1)/7
Let k(s) be the second derivative of 5/66*s**4 + 1/110*s**5 - 2*s + 1 + 2/33*s**3 - 8/11*s**2. Solve k(b) = 0 for b.
-4, -2, 1
Let g be 8*(-2)/(-4)*-2. Let t = g - -11. Factor i**3 + 3*i**3 - i**3 + 12 - 9*i**2 + 0*i**t.
3*(i - 2)**2*(i + 1)
Let h(a) = 2*a**4 + 14*a**3 - 6*a**2 - 14*a. Let u(t) = 3*t**4 + 27*t**3 - 12*t**2 - 29*t. Let m(g) = 14*h(g) - 8*u(g). Solve m(n) = 0.
-1, 0, 3
Let z be 16/(-40) + (-12)/(-30). Let v(o) be the second derivative of -1/4*o**3 - o + 3/80*o**5 + z - 1/16*o**4 + 0*o**2. Solve v(l) = 0 for l.
-1, 0, 2
Let y(s) be the second derivative of s**4/3 - 32*s**3 + 1152*s**2 + 4*s - 2. Solve y(i) = 0 for i.
24
Find f, given that -3*f + 2/5*f**2 + 1/5*f**3 - 36/5 = 0.
-3, 4
Let m(x) be the third derivative of x**7/105 - 11*x**5/30 - 3*x**4/2 - 8*x**3/3 - 9*x**2 - 8*x. Solve m(l) = 0.
-2, -1, 4
Let v(q) = -q**3 - q**2 + 2*q + 17. Let z be v(5). Let u = -1597/13 - z. Suppose -8/13 - 8/13*l - u*l**2 = 0. What is l?
-2
Let d be ((-2)/(-3))/((-10)/(6720/(-238))). Factor -18/17 - d*i**2 + 48/17*i.
-2*(4*i - 3)**2/17
Let k(z) = -8*z**3 + 3*z**2 + 28*z. Let w(u) = 4*u**3 - u**2 - 12*u. Let o(g) = -3*k(g) - 5*w(g). Factor o(t).
4*t*(t - 3)*(t + 2)
Let m(x) = -x**2 - x - 1. Let s(f) = 18*f**3 + 105*f**2 + 174*f + 21. Let j(q) = 6*m(q) - s(q). What is y in j(y) = 0?
-3, -1/6
Let j be (14 - 22)*528/189. Let m = 158/7 + j. Factor 0 + 0*b - m*b**4 - 2/3*b**3 - 4/9*b**2.
-2*b**2*(b + 1)*(b + 2)/9
Let y(d) be the second derivative of -1/90*d**6 - 4/9*d**3 + 8/3*d**2 - 15*d + 2/15*d**5 + 0 - 5/12*d**4. Suppose y(x) = 0. What is x?
-1, 1, 4
Let j(s) = -s**3 + 25*s**2 + 3*s - 61. Let h be j(25). Suppose h*k - 38 = 4. Suppose 0 - 6*o**4 + 10/3*o**2 - 4*o**k + 4/3*o = 0. Calculate o.
-1, -1/3, 0, 2/3
Let v(t) = 7*t**2 - 12*t + 1. Let g be v(2). Factor 5*w**4 - 65*w**3 - 2*w**2 - 3*w**2 + g*w + 5*w + 55*w**3.
5*w*(w - 2)*(w - 1)*(w + 1)
Let p(l) be the first derivative of 7/4*l**4 - 1/5*l**5 + 0*l + 0*l**2 - 10/3*l**3 - 35. Suppose p(c) = 0. What is c?
0, 2, 5
Let i(v) be the first derivative of v**4/14 + 14*v**3/3 - 101*v**2/7 + 102*v/7 + 639. Factor i(l).
2*(l - 1)**2*(l + 51)/7
Let l(b) be the third derivative of 2/15*b**7 + 13/15*b**5 + 1/2*b**6 + 0*b**3 + 0*b - 17*b**2 + 2/3*b**4 + 1/84*b**8 + 0. Factor l(y).
4*y*(y + 1)**3*(y + 4)
Let u(b) = b**2 + 7*b + 13. Let d be u(-8). Let f(a) = -9*a**3 - 7*a**2 + 2. Let l(r) = -28*r**3 - 20*r**2 + r + 7. Let i(n) = d*f(n) - 6*l