**2 + 4/5*p**5 + 0*p - 4/3*p**3 + 15 + 1/3*p**6 + 0*p**4. Factor r(h).
2*h*(h - 1)*(h + 1)**3
Let s(g) be the third derivative of 5*g**8/336 - 2*g**7/7 - 7*g**6/12 + g**5 + 65*g**4/24 - 348*g**2. Suppose s(h) = 0. What is h?
-1, 0, 1, 13
Let b(g) = 5*g**3 + 5*g**2 - 16*g - 6. Let c(v) = -v - 1. Let f = -33 + 32. Let h(u) = f*b(u) + 6*c(u). Factor h(l).
-5*l*(l - 1)*(l + 2)
Let w be 42/30 - (-4)/(-10). Let x be (-22)/6 + 3 + w. Factor -x*t**3 - 1/3*t - 2/3*t**2 + 0.
-t*(t + 1)**2/3
Let v(s) be the first derivative of -2 - 2/9*s**3 - 1/12*s**4 + 1/2*s**2 + 0*s. Suppose v(l) = 0. Calculate l.
-3, 0, 1
Let s(x) be the first derivative of -1/9*x**3 - 3 + 7/6*x**2 - 2*x. Factor s(c).
-(c - 6)*(c - 1)/3
Let n(w) be the first derivative of 0*w**2 + 5 + 0*w - 15/4*w**4 - 10/3*w**3 - w**5. Solve n(i) = 0 for i.
-2, -1, 0
Let z(f) be the first derivative of f**4/14 - 2*f**3/21 - 19*f**2 + 182*f + 587. Solve z(j) = 0 for j.
-13, 7
Let t = -2/1851 - -1855/3702. Let -1 + 9/4*a**2 - 3/4*a**4 - t*a**3 + 0*a = 0. Calculate a.
-2, -2/3, 1
Suppose 0 = -2*a - 4, a - 19 = -3*t + 3*a. Find x such that 0*x**5 + 3*x - 39*x**3 + 15*x**4 - 3*x**2 - 6*x**t + 30*x**3 = 0.
-1/2, 0, 1
Suppose -5*l + 38 = 13. Let p be (-7 + -3)*12/(-5). Factor 4*x**2 - l*x**3 - p*x**2 - 8*x + 8*x**4 + x**3.
4*x*(x - 2)*(x + 1)*(2*x + 1)
Solve 3/4*s**4 - 15/4*s - 3 + 15/4*s**3 + 9/4*s**2 = 0 for s.
-4, -1, 1
Determine j so that -4/17*j**4 + 0 - 38/17*j**3 - 56/17*j**2 - 24/17*j + 2/17*j**5 = 0.
-2, -1, 0, 6
Let t = -41 - -59. Let t*w**4 + 14*w**4 - 3*w**5 + 192*w**2 + 4*w**4 + 0*w**4 - 144*w**3 = 0. Calculate w.
0, 4
Let u = 400 - 400. Let f(h) be the second derivative of 4/3*h**4 + u + 7/20*h**5 + 2/3*h**3 - 3*h + 0*h**2. Find g such that f(g) = 0.
-2, -2/7, 0
Factor 324 - 12*k + 1/9*k**2.
(k - 54)**2/9
Let u = -1021 + 1025. Let x(l) be the second derivative of -4*l + 1/195*l**6 + 2/39*l**3 + 0*l**2 + 0 + 2/65*l**5 + 5/78*l**u. Find v such that x(v) = 0.
-2, -1, 0
Let n(s) = 5*s**4 - 160*s**3 - 15*s**2 + 145*s - 5. Let u(p) = -2*p**4 + 81*p**3 + 8*p**2 - 72*p + 3. Let t(o) = 3*n(o) + 5*u(o). Factor t(x).
5*x*(x - 15)*(x - 1)*(x + 1)
Let o(b) = -55*b**3 - 113*b**2 - 92*b - 20. Let u(w) = w - 4. Let l be u(2). Let i(y) = -18*y**3 - 38*y**2 - 31*y - 7. Let c(v) = l*o(v) + 7*i(v). Factor c(z).
-(z + 1)*(4*z + 3)**2
Suppose -3*h - 9*n - 29 = -8*n, -2*n + 41 = -3*h. Let q(c) = 3*c**2 + 6*c. Let x(k) = -9*k**2 - 18*k. Let o(r) = h*q(r) - 4*x(r). Determine v so that o(v) = 0.
-2, 0
Let j(t) = -3*t**2 - 297*t + 21. Let a(k) = k**2 + 149*k - 12. Let n(x) = -7*a(x) - 4*j(x). Find o such that n(o) = 0.
-29, 0
Suppose 4*b + 43 = -0*k - 5*k, -b + 2 = -3*k. Let j be 6/4 - (-7)/b. Find i such that 0 - 1/6*i**3 - j*i**2 - 1/3*i = 0.
-2, -1, 0
Let q(t) be the first derivative of 1/12*t - 1/12*t**2 + 1/36*t**3 + 1. Factor q(f).
(f - 1)**2/12
Let r(i) be the second derivative of -i**5/10 + 4*i**4/3 + 44*i**3/3 + 48*i**2 + 583*i. Suppose r(t) = 0. Calculate t.
-2, 12
Let d(s) = 5*s**3 - 3410*s**2 + 6685*s - 3340. Let t(z) = -z**3 + 487*z**2 - 955*z + 477. Let j(h) = 2*d(h) + 15*t(h). What is g in j(g) = 0?
1, 95
Let o(u) be the first derivative of -5*u**4/4 + 5*u**3/3 + 5*u**2/2 - 5*u - 65. Determine b, given that o(b) = 0.
-1, 1
Let s = -249 + 141. Let o = 1192/11 + s. Let 6/11*n**2 - 6/11*n**3 - 6/11*n**5 + 0 - 14/11*n**4 + o*n = 0. Calculate n.
-1, 0, 2/3
What is j in -417*j**2 - 2*j**4 - 933*j**2 + 13500*j + j**4 - 50625 + 96*j**3 - 36*j**3 = 0?
15
Factor 12*n**2 + 297*n - 55*n**2 - 30*n**3 - 189*n - 38*n**2 + 3*n**4.
3*n*(n - 12)*(n - 1)*(n + 3)
What is i in 84 + i**2 - 40 - 48 + 3*i = 0?
-4, 1
Factor 0 - 2/9*r**4 + 2/3*r**2 + 0*r**3 + 4/9*r.
-2*r*(r - 2)*(r + 1)**2/9
Suppose -11*p**2 + 2*p - 2*p**4 - 3*p**4 + 9*p**3 - 2*p**3 + 16*p**2 - 9*p**3 = 0. Calculate p.
-1, -2/5, 0, 1
Let v(h) = h**2 + 2*h - 29. Let y be v(-7). Let w(z) be the first derivative of 1 - 3/2*z**2 + 3/4*z**4 - 2*z**3 + y*z. Factor w(r).
3*(r - 2)*(r - 1)*(r + 1)
Suppose -45*y**2 + 42*y**3 - 60*y**3 - 5*y**5 + 25*y**4 + 3*y**3 = 0. Calculate y.
-1, 0, 3
Let a(u) = u**3 - 15*u**2 + 11*u - 67. Let r be a(15). Let q = r - 96. Factor 4/5*p**3 - 14/5*p**4 + 0 + 0*p + 0*p**q.
-2*p**3*(7*p - 2)/5
Let h(c) be the first derivative of 5*c**4/4 + 20*c**3/3 + 25*c**2/2 + 10*c + 118. Determine u, given that h(u) = 0.
-2, -1
Let i(j) = -2*j**3 + 7*j - 10. Let d(y) = y**3 - 3*y + 4. Let h(w) = -5*d(w) - 2*i(w). Suppose h(r) = 0. What is r?
-1, 0, 1
Let z = 433/195 - 28/13. Let l(f) be the third derivative of -3/4*f**4 + 3/20*f**6 + 7*f**2 - 2/3*f**3 + z*f**5 + 0 + 0*f. Factor l(j).
2*(j - 1)*(j + 1)*(9*j + 2)
Suppose -23 = -4*n - 43, -4*j + 4*n = -28. Let x(w) be the first derivative of -4*w**2 + 0*w - 7 - 28/3*w**3 + j*w**4 + 28/5*w**5. Factor x(g).
4*g*(g - 1)*(g + 1)*(7*g + 2)
Suppose 5*t = 8*t - 15. Find h, given that 24*h**3 - 11*h**4 + 9*h**2 - 9*h**3 + 14*h**4 - 3*h**t = 0.
-1, 0, 3
Let l be (-9)/(-15) + 48/20. Let u(o) be the third derivative of -3/4*o**4 + 0*o - 9/2*o**l + 0 - 1/20*o**5 - 2*o**2. Factor u(c).
-3*(c + 3)**2
Let x = 91325 - 3195714/35. Let i = x - 128/7. Find a, given that -i*a**2 - 6/5*a**3 - 3/5*a**4 + 0*a + 0 = 0.
-1, 0
Let s(v) be the second derivative of -v**5/4 - 15*v**4/2 - 175*v**3/2 - 490*v**2 - 133*v. Let s(d) = 0. Calculate d.
-7, -4
Let -204/7 + 506/7*v + 10/7*v**2 = 0. What is v?
-51, 2/5
Let r(f) be the first derivative of -2*f**3/27 - 7*f**2/9 - 4*f/3 + 80. Factor r(s).
-2*(s + 1)*(s + 6)/9
Let i(m) = -9*m**3 - 4*m**2 + 64*m + 76. Let r(n) = -187 - 42 - 47*n + 26*n**3 + 11*n**2 - 7*n - 137*n. Let d(j) = 11*i(j) + 4*r(j). What is t in d(t) = 0?
-2, 4
Let x(z) = -z**2 + 36*z + 53. Let m(o) = 10*o + 18. Let r(l) = -l. Let n(t) = -m(t) + 2*r(t). Let f(v) = -8*n(v) - 3*x(v). Let f(a) = 0. Calculate a.
-1, 5
Let x(k) = k**2 - 10 + 6*k + 9*k + 0*k**2 - 4*k. Let z be x(-12). Suppose 3*b**2 + 2*b**3 + 4*b - 3*b**z - 6*b**2 = 0. What is b?
0, 1, 2
Suppose 0 = -2*h - 4*v + 2, 2 = h + 3*v - 4. Let k = h + 46/5. Suppose 1/5*j + k*j**2 + 0 = 0. What is j?
-1, 0
Factor -3*k**4 + 0*k**4 - 123*k**5 + 56*k**5 + 64*k**5 + 6*k**3.
-3*k**3*(k - 1)*(k + 2)
Let m(i) be the third derivative of -i**7/231 - 37*i**6/660 - 89*i**5/330 - 25*i**4/44 - 6*i**3/11 - 2*i**2 - 18*i. Determine k so that m(k) = 0.
-3, -1, -2/5
Suppose -3/2*r**4 + 0 + 39/4*r**5 + 3/2*r**2 + 0*r - 39/4*r**3 = 0. What is r?
-1, 0, 2/13, 1
Suppose -10*o + 4*v = -11*o + 6, 3*o - 2*v - 60 = 0. Let u be o/(-171) - 2/(-19). Find f such that u - 2/7*f + 6/7*f**2 = 0.
0, 1/3
Factor -144/7*t**2 + 0*t + 0 + 2/7*t**4 - 142/7*t**3.
2*t**2*(t - 72)*(t + 1)/7
Let j(u) be the first derivative of -3*u**5/5 - 15*u**4 - 33*u**3 + 81*u**2 + 418. Solve j(n) = 0 for n.
-18, -3, 0, 1
Let y(h) = 5*h**2 - 138*h - 56. Let c be y(28). Let q = 1653/13 - 127. Factor 0*v + c - 2/13*v**2 - 6/13*v**4 - 6/13*v**3 - q*v**5.
-2*v**2*(v + 1)**3/13
Let l(t) be the first derivative of -16 + 10*t**4 + 5*t + 85/3*t**3 + 25*t**2. Suppose l(y) = 0. Calculate y.
-1, -1/8
Let d(r) be the second derivative of -r**4/18 - 2*r**3 - 56*r**2/3 + 735*r. Factor d(f).
-2*(f + 4)*(f + 14)/3
Let v be (-21)/(-27) + (-6)/(-27). Let u be (-148)/(-60) + v/3. Find z such that 6/5*z**5 + 0*z - u*z**4 + 0*z**2 + 0 + 4/5*z**3 = 0.
0, 1/3, 2
Let f(q) be the second derivative of -3*q**6/10 + 267*q**5/20 + 125*q**4/4 - 29*q**3/2 - 93*q**2 - 143*q. Solve f(t) = 0 for t.
-1, 2/3, 31
Suppose 17*b = 11*b + 36. Let u(s) be the first derivative of b + 0*s**3 - 1/12*s**2 + 1/24*s**4 + 0*s. Determine f so that u(f) = 0.
-1, 0, 1
Find v, given that -75*v - 5*v**2 - 29 - 186 + 35 = 0.
-12, -3
Suppose -14 = -4*s + h - 4, 5*s - 20 = 5*h. What is u in s*u**2 + 4*u - 34 + 132 - 32*u = 0?
7
Let z(q) = q**2 - 7*q - 1178. Let c be z(-31). Factor i**3 + 1/3*i**4 + 0 + c*i + 0*i**2.
i**3*(i + 3)/3
Suppose 4*a + 8 = -4*a. Let n be ((-2)/(-3))/(1 - a)*6. Find t such that 4/7*t + 2/7*t**n + 0 - 2/7*t**3 = 0.
-1, 0, 2
Let z be 3 - -1*(0 + 0). Let g = 70 + -65. Factor -q**2 - q**z + g + 7 + 5*q - 4*q - 11.
-(q - 1)*(q + 1)**2
Determine y, given that -352*y - 56 + 93*y**2 - 95*y**2 + 410*y = 0.
1, 28
Let p(f) be the third derivative of -1/14*f**4 + 0 + 0*f - 1/210*f**6 + 3*f**2 + 0*f**3 + 4/105*f**5. Suppose p(r) = 0. What is r?
0, 1, 3
Let l(y) be th