 -4*d - 5. Let n be a(-2). Factor -m*p**3 + n*p + 5*p**3 - 5*p.
2*p*(p - 1)*(p + 1)
Let z(p) be the third derivative of 7*p**6/480 - p**5/20 - 85*p**4/96 - 11*p**3/4 + 135*p**2 + 3. Factor z(x).
(x + 1)*(x + 2)*(7*x - 33)/4
Let x = 21/163 + 1567/489. Let f(b) be the first derivative of x*b**3 - 8 + 0*b**2 - 7*b**5 + 25/4*b**4 + 0*b. Factor f(a).
-5*a**2*(a - 1)*(7*a + 2)
Let p(z) be the second derivative of 0 + 5/12*z**4 + z**2 - 18*z + 11/6*z**3. Suppose p(a) = 0. Calculate a.
-2, -1/5
Factor -1/3*x**4 - 14/3*x**3 - 23*x**2 - 36 - 48*x.
-(x + 2)*(x + 3)**2*(x + 6)/3
Suppose -62 = -10*t - 21*t. Factor 2/7*f**t - 4/7*f - 6/7.
2*(f - 3)*(f + 1)/7
Suppose 6*m - 5*m - 3 = 0. Suppose m*i - i - 6 = 0. Factor -i*y + 2*y - 21*y**2 - 2*y + 0*y.
-3*y*(7*y + 1)
Let q = 133/48 + -23/16. Let m(y) be the first derivative of 0*y**3 - y**2 - 5 + 1/6*y**4 + q*y. Factor m(s).
2*(s - 1)**2*(s + 2)/3
Let q(x) = 3*x**3 + 57*x**2 + 3*x - 3. Let o(k) = -9*k**3 - 171*k**2 - 8*k + 8. Let b(u) = 3*o(u) + 8*q(u). Factor b(z).
-3*z**2*(z + 19)
Let f = -48 + 48. Suppose f*v + 192 + 3*v**2 - 15*v + 6*v - 39*v = 0. What is v?
8
Let q be 14/6 - (-2)/3. Let u = -36 - -39. What is s in -2 + 6 - 4 - 3*s**u + q*s = 0?
-1, 0, 1
Let f be (-4 + (-92)/(-24))*-2. Let g be -7 + 28/3 - 1/1. Determine x, given that -f*x**2 + g + 0*x = 0.
-2, 2
Let l(p) be the first derivative of 4*p**5/25 - p**4/5 - 4*p**3/15 + 2*p**2/5 - 164. Let l(j) = 0. Calculate j.
-1, 0, 1
Let a(z) be the first derivative of -110*z**2 + 100*z + 121/3*z**3 + 9. Suppose a(d) = 0. Calculate d.
10/11
Factor 77*i + 121/4*i**2 + 49.
(11*i + 14)**2/4
Let x(a) be the second derivative of a**7/63 + 4*a**6/9 + 151*a**5/30 + 266*a**4/9 + 848*a**3/9 + 448*a**2/3 - a - 83. Solve x(d) = 0.
-7, -4, -1
Suppose 5*i - 21 = 3*k, -20*k = -25*k - 35. Suppose -1/3*y**2 + 0 + i*y - 4*y**4 - 11/6*y**5 - 5/2*y**3 = 0. What is y?
-1, -2/11, 0
Suppose -11*l + 6*l = 5*o - 55, 0 = -4*o + 4*l + 12. Suppose 2*i + 2*i + 4*h = 4, -o = -2*i + 3*h. Find v, given that -1/2*v**4 + v**3 - 2*v - 2 + 3/2*v**i = 0.
-1, 2
Suppose 9116 = -3*w + 9128. Determine l, given that 2/5*l**5 + 12/5*l**w + 18/5*l + 4/5 + 32/5*l**2 + 28/5*l**3 = 0.
-2, -1
Let p(t) be the second derivative of -4/5*t**3 - 33/50*t**5 + 7/5*t**4 + 1/10*t**6 + 0 + 0*t**2 - t. Factor p(s).
3*s*(s - 2)**2*(5*s - 2)/5
Suppose 0 = -13*o + 12*o + 9. Factor -3*s**3 - o*s**3 + 2*s**5 - s**3 + 6*s**4 + 17*s**3.
2*s**3*(s + 1)*(s + 2)
Let w(z) = 150*z - 12. Let t be w(1). Let k = 138 - t. Determine s so that 0 - 1/2*s**2 + k*s + 1/2*s**4 - 1/2*s**3 + 1/2*s**5 = 0.
-1, 0, 1
Let i(l) = -l**2. Let s = -24 + 45. Let w be 27/s + 4/(-14). Let o(t) = t**3 - 2*t**2 + 3*t + 9. Let n(g) = w*o(g) + 3*i(g). Factor n(z).
(z - 3)**2*(z + 1)
Let j(n) be the first derivative of 0*n - n**2 - 3 + 3/4*n**4 - 1/2*n**3 - 1/4*n**5. Let c(p) be the second derivative of j(p). Factor c(i).
-3*(i - 1)*(5*i - 1)
Let a(b) be the second derivative of b**6/72 - b**5/24 - 3*b**3/2 - 12*b. Let l(d) be the second derivative of a(d). Factor l(r).
5*r*(r - 1)
Let b(l) be the second derivative of -5/3*l**3 - 25/7*l**2 - 11/42*l**4 + 0 - 1/70*l**5 + l. Factor b(o).
-2*(o + 1)*(o + 5)**2/7
Let o(x) be the third derivative of x**8/3360 + x**7/1050 - 19*x**6/1200 - x**5/30 - 317*x**2. Determine y so that o(y) = 0.
-5, -1, 0, 4
Let p be -3*((-147)/36 + 4). Let c = 196 - 194. Solve -3/4*d**4 - 1/4*d**5 - p*d**3 + 0 + 3/4*d**c + 1/2*d = 0.
-2, -1, 0, 1
Factor 268*i**2 - 212*i**4 + 208*i**4 - 136*i + 3 - 3 - 128*i**3.
-4*i*(i - 1)**2*(i + 34)
Let f(c) be the first derivative of 4/35*c**5 + 5/28*c**4 + 2/21*c**3 + 0*c**2 + 0*c + 1/42*c**6 + 30. Find h such that f(h) = 0.
-2, -1, 0
Suppose 409 = 214*z - 19. Suppose -7/2*q + 3/2 + 5/2*q**z - 1/2*q**3 = 0. What is q?
1, 3
Let h(k) be the first derivative of 0*k - 7 + 2/9*k**2 + 2/27*k**3. Determine c so that h(c) = 0.
-2, 0
Suppose 0 = 3*r - 0*r + 39. Let v(x) = -9*x**3 + 73*x**2 + 287*x + 513. Let t(j) = 4*j**3 - 36*j**2 - 144*j - 256. Let g(b) = r*t(b) - 6*v(b). Factor g(u).
2*(u + 5)**3
Let z(s) be the first derivative of 3*s**2/2 + 30*s - 12. Let w be z(-9). Suppose 6/5*q**2 + 0 - 3/5*q**w - 3/5*q = 0. Calculate q.
0, 1
Let i(p) be the first derivative of 11 + 2/25*p**5 - 2/5*p**2 + 1/5*p**4 - 2/15*p**3 + 0*p. Factor i(n).
2*n*(n - 1)*(n + 1)*(n + 2)/5
Let y be (-950)/(-18) + 1 - 70/(-315). Let b be (-15)/10 + y/20. Factor b - 8/5*z + 2/5*z**2.
2*(z - 3)*(z - 1)/5
Factor 967*i + i**5 + 32*i**2 + 0*i**4 + 6*i**3 - 999*i - 7*i**4.
i*(i - 4)**2*(i - 1)*(i + 2)
Let n(i) be the first derivative of -i**7/540 + i**6/180 + i**5/45 - i**4/27 - 2*i**3/3 - 19. Let m(f) be the third derivative of n(f). Factor m(y).
-2*(y - 2)*(y + 1)*(7*y - 2)/9
Let w(r) be the second derivative of -r**5/10 - r**4/6 + 2*r**3/3 - 65*r. Factor w(n).
-2*n*(n - 1)*(n + 2)
Let r(f) = -6*f**2 - 200*f**2 + 1440*f**3 - 134*f**2 - 184 - 945*f - 101. Let l(v) = 131*v**3 - 31*v**2 - 86*v - 26. Let d(j) = 65*l(j) - 6*r(j). Factor d(x).
-5*(x - 1)*(5*x + 2)**2
Let m(j) be the first derivative of j**8/420 + j**7/210 + 13*j**3/3 - 7. Let x(g) be the third derivative of m(g). Factor x(k).
4*k**3*(k + 1)
Let x(p) be the first derivative of 7/8*p**4 + 3/4*p**2 - 1 + 2*p**3 - p. Factor x(z).
(z + 1)**2*(7*z - 2)/2
Let v(s) be the second derivative of s**4/30 - 26*s**3/15 - 2*s + 89. What is n in v(n) = 0?
0, 26
Suppose 2*s = -5*s + 21. Let v be 70/(-72) + s - 4/(-18). Determine m, given that 1/2*m**2 - v*m**3 + 1/2 - m**4 + 9/4*m = 0.
-2, -1, -1/4, 1
Let p(k) be the second derivative of 2187*k**7/91 + 15066*k**6/65 + 18468*k**5/65 + 1992*k**4/13 + 1744*k**3/39 + 96*k**2/13 + 17*k - 4. Factor p(z).
2*(z + 6)*(9*z + 2)**4/13
Let z = 7 + -4. Find i, given that -120*i**z + 0*i + 122*i**3 - 2*i = 0.
-1, 0, 1
Let s(q) be the first derivative of 8 + 28/11*q + 2/33*q**3 - 15/11*q**2. Factor s(g).
2*(g - 14)*(g - 1)/11
Let f be 2 + ((-2)/(-1))/2. Let s(y) = -y**3 - 7*y**2 - 7*y + 20. Let x be s(-5). Factor x*g**2 - 10*g - 3 + 5 + f.
5*(g - 1)**2
Suppose -11/8*g - 1/8*g**2 - 7/2 = 0. Calculate g.
-7, -4
Let w(f) be the second derivative of 1/18*f**4 + 0*f**2 + 8*f - 2/9*f**3 + 0. Find h, given that w(h) = 0.
0, 2
Let l = -13480/7 + 1926. Find c, given that 6/7*c + l*c**2 + 4/7 = 0.
-2, -1
Let o(i) = 11*i**4 + 15*i**3 - 76*i**2 + 30*i + 134. Let u(w) = 2*w**4 - w**3 + w**2 + w + 1. Let n(b) = o(b) - 6*u(b). Find j, given that n(j) = 0.
-1, 2, 4, 16
Let r be (-37 + 1)*-6*6/504. Factor -r - 2/7*m**2 - 12/7*m.
-2*(m + 3)**2/7
Let m(q) be the third derivative of q**6/2160 + q**5/45 + 4*q**4/9 - 7*q**3/3 - 12*q**2. Let f(j) be the first derivative of m(j). Factor f(i).
(i + 8)**2/6
Let w(i) be the third derivative of 2*i**7/525 - i**6/75 - i**5/75 + i**4/15 - 5*i**2 + 7. Suppose w(j) = 0. Calculate j.
-1, 0, 1, 2
Let u = -39829 + 358463/9. Let q be 32/(-18) + 4 + -2. Factor -u*y + 0 - q*y**2.
-2*y*(y + 1)/9
Let d(t) be the third derivative of t**8/21 + 128*t**7/105 - 43*t**6/6 + 241*t**5/15 - 113*t**4/6 + 38*t**3/3 + t**2 - 326. Determine j, given that d(j) = 0.
-19, 1/2, 1
Let r = 10425 + -10423. Factor -3*q**r + 5*q**3 + 0 - 11/3*q**4 + 2/3*q + q**5.
q*(q - 1)**3*(3*q - 2)/3
Let o be 3/2*(-192)/(-72). Let -2995*l**2 + 8*l**4 - 4*l**3 + o*l**5 + 2987*l**2 + 0*l**3 = 0. Calculate l.
-2, -1, 0, 1
Let u(d) be the second derivative of 6*d**7/7 + 4*d**6/5 - 29*d**5/5 + 2*d**4/3 + 40*d**3/3 - 16*d**2 + 237*d + 1. Find j, given that u(j) = 0.
-2, -1, 2/3, 1
What is j in -28/5 - 1/5*j**2 + 16/5*j = 0?
2, 14
Let l be (-13)/78 + (-19)/(-6). Determine a, given that 12*a**2 + 14*a**3 - 5*a**l - 6*a - 12*a**4 - a + 3*a**5 - 5*a = 0.
-1, 0, 1, 2
Find h, given that -2*h**2 + 30*h**3 + 2*h**2 - 35*h**3 = 0.
0
Let a = -189 - -188. Let m be (-3)/(-1)*(a + 17/15). Solve -2/5 + 2/5*t**3 + 2/5*t**2 - m*t = 0 for t.
-1, 1
Let w(x) be the first derivative of 5*x**3/3 - 35*x**2/2 + 30*x - 454. Let w(z) = 0. What is z?
1, 6
Let u(f) be the second derivative of -f**8/1344 - f**7/252 - f**4/4 + 3*f. Let b(y) be the third derivative of u(y). Let b(n) = 0. What is n?
-2, 0
Let n(k) be the first derivative of 5*k**8/336 + k**7/42 + 19*k**2/2 + 12. Let l(a) be the second derivative of n(a). Let l(x) = 0. What is x?
-1, 0
Let u be (178/8)/((-117)/36) - -7. Factor u*o**3 - 2/13*o