4/15, 0
Factor -4*c**5 + 160*c**2 + 4 + 22*c**4 + 18*c**4 - 100*c - 13 + 33 - 120*c**3.
-4*(c - 6)*(c - 1)**4
Let p(t) = -18*t**2 + 4*t + 4. Let c(g) = g**3 + 19*g**2 - 3*g - 3. Let v(k) = -4*c(k) - 5*p(k). Let x(q) be the first derivative of v(q). Factor x(h).
-4*(h - 2)*(3*h - 1)
Let f be -87 - -90 - (-3 - 12/(-8)). Factor f*z**2 - 81/2*z + 243/2 - 1/6*z**3.
-(z - 9)**3/6
Suppose 0 = -1462*l + 1226*l. Determine q so that 0 + l*q + 1/4*q**3 - 1/4*q**2 = 0.
0, 1
Let z(c) be the third derivative of 0*c**3 - 5/12*c**5 - 9*c**2 + 0*c - 1/42*c**7 + 5/12*c**4 + 0 + 1/6*c**6. Factor z(m).
-5*m*(m - 2)*(m - 1)**2
Suppose -29*x + 1926 = 1839. Factor 0*q + 0 - 1/4*q**x - 3/4*q**2.
-q**2*(q + 3)/4
Let d = -905 + 909. Let t(b) be the second derivative of -1/5*b**5 + 2*b**3 - 3*b - 4*b**2 + 0*b**d + 0. Factor t(y).
-4*(y - 1)**2*(y + 2)
Let l(k) = 427*k - 4266. Let m be l(10). Suppose 2/3*f**5 - 2/3*f**m - 2/3*f**3 + 2/3*f**2 + 0 + 0*f = 0. Calculate f.
-1, 0, 1
Factor 2*h**2 - 14*h**2 + 16*h**3 - 8*h**4 + h**4 + 3*h**4.
-4*h**2*(h - 3)*(h - 1)
Let l(j) = 4*j**2 - 5. Suppose 108 = 6*i + 3*i. Let s(d) = -10*d**2 + 12. Let v(n) = i*l(n) + 5*s(n). Factor v(a).
-2*a**2
Let z be (1/(-8))/((-11 + 5)/6). Factor z*l**4 + 0 - 1/2*l + 0*l**2 + 3/8*l**3.
l*(l - 1)*(l + 2)**2/8
Let b(t) be the first derivative of -4*t**5/5 - t**2/2 + 3. Let i(l) = 3*l + 2*l**2 - l**2 + 0*l**2 + 9*l**4. Let o(y) = 7*b(y) + 3*i(y). Factor o(v).
-v*(v - 2)*(v + 1)**2
Let v(g) be the second derivative of 0 + 4/19*g**5 + 27*g + 7/285*g**6 + 23/114*g**4 + 0*g**2 - 10/57*g**3. Solve v(s) = 0.
-5, -1, 0, 2/7
Let -153 + 57*j - j**2 + 9*j + 4*j**2 - 18*j - 6*j = 0. Calculate j.
-17, 3
Let k(o) = o**2 - 8*o + 2. Let v(z) = -6*z**2 + 410*z - 34235. Let p(b) = 5*k(b) + v(b). Let p(m) = 0. What is m?
185
Let u = -311 + 629. Let p = u + -318. Factor 0*y - 1/4*y**3 - 1/4*y**4 + 0 + p*y**2.
-y**3*(y + 1)/4
Let d(n) be the second derivative of n**4/36 + n**3/9 - 4*n**2 + 17*n. Solve d(t) = 0 for t.
-6, 4
Let y(j) be the second derivative of -3*j**5/40 + j**4/4 + 3*j**3/4 + j + 71. Factor y(t).
-3*t*(t - 3)*(t + 1)/2
Let n = 1715 - 1715. Determine a, given that 1/4*a**3 + a**2 + 0 + n*a = 0.
-4, 0
Factor 7/8*i**2 + 3/4*i + 0 + 1/8*i**3.
i*(i + 1)*(i + 6)/8
Let o(c) = -c**4 - 3*c**3 - 5*c - 5. Let s(l) = l**4 + 4*l**3 + 6*l + 6. Let k(r) = 6*o(r) + 5*s(r). Factor k(i).
-i**3*(i - 2)
Let a be (-189)/(-840)*6/(-27)*-1. Let u(g) be the second derivative of 4*g + 9/40*g**5 + a*g**6 + 1/4*g**4 + 0 + 0*g**2 + 0*g**3. Suppose u(j) = 0. What is j?
-2, -1, 0
Let i(v) be the second derivative of 33*v**7/70 + 32*v**6/25 + 87*v**5/100 - v**4/10 - 6*v + 2. Factor i(f).
3*f**2*(f + 1)**2*(33*f - 2)/5
Let l be 26/40 - (-24)/(-60). Suppose -d + 1 + l*d**2 = 0. Calculate d.
2
Let y be 4/30*-6*-5. Suppose -y*s + 2*s + 4 = 0. Factor -5*c**4 - 4*c**2 + s*c**2 + c**4 - 4*c**3 + 4*c + 6*c**4.
2*c*(c - 2)*(c - 1)*(c + 1)
Let n(i) be the first derivative of -3*i**5/5 + 9*i**4/2 + 27*i**3 - 162*i**2 - 972*i - 112. Factor n(v).
-3*(v - 6)**2*(v + 3)**2
Let s(k) be the third derivative of k**10/120960 + k**9/20160 + k**8/13440 - 13*k**4/12 + 20*k**2. Let c(v) be the second derivative of s(v). Factor c(n).
n**3*(n + 1)*(n + 2)/4
Let g(v) be the first derivative of v**7/420 - v**6/240 - v**5/120 + v**4/48 - 5*v**2/2 + 12. Let w(z) be the second derivative of g(z). What is i in w(i) = 0?
-1, 0, 1
Factor -10*a + 397*a**2 + 1 - 9 - 399*a**2.
-2*(a + 1)*(a + 4)
Let g(x) be the first derivative of -11/12*x**2 - 1/24*x**4 - 2/3*x + 1/30*x**5 + 7 - 1/2*x**3. Factor g(m).
(m - 4)*(m + 1)**3/6
Let o(a) be the second derivative of a**7/294 - a**6/70 - a**5/28 + 9*a**4/28 - 16*a**3/21 + 6*a**2/7 + a - 113. Let o(q) = 0. Calculate q.
-3, 1, 2
Suppose 3*y + 0*y - 52 = -4*n, n = 2*y + 24. Factor 36*z - n*z + z**2 - 17*z.
z*(z + 3)
Let c be (-40)/(-456)*-10*-3*1. Let -c - 20/19*z - 2/19*z**2 = 0. What is z?
-5
Let i(s) be the first derivative of -s**3/27 + 3*s**2/2 + 28*s/9 - 97. Solve i(h) = 0 for h.
-1, 28
Let t(o) be the first derivative of 9*o**5/40 + o**4/8 - 5*o**3/12 + o**2/4 - 42*o - 49. Let z(f) be the first derivative of t(f). Solve z(c) = 0.
-1, 1/3
Let z be 209/7 + (-4)/(-28). Factor 8 + 18 + z*c + 19 + 5*c**2.
5*(c + 3)**2
Let n = -8/423 - -11461/2115. Let u be (11/(-11))/(5*(-1)/3). Factor -9*g + n + 21/5*g**2 - u*g**3.
-3*(g - 3)**2*(g - 1)/5
Let v = -16 + 31. Suppose -5*d + v = -0. Suppose 4*b**5 - d*b**2 + b**3 - 4*b**5 - b**5 + b**4 + 2*b**2 = 0. What is b?
-1, 0, 1
Let v = 18 - 12. What is w in v*w**2 + 30 + 9*w**2 - w**2 - 9*w**2 - 35*w = 0?
1, 6
Let -20 + 20*a**4 - 782*a**3 - 419/2*a - 2859/4*a**2 = 0. What is a?
-2/5, -1/4, 40
Let o(n) be the first derivative of -2/27*n**3 + 0*n + 1/9*n**2 + 2/45*n**5 - 1/18*n**4 - 8. Factor o(k).
2*k*(k - 1)**2*(k + 1)/9
Let o = 2284 - 4567/2. What is g in -1/8*g**3 + 1/8*g + 0 - o*g**2 + 1/2*g**4 = 0?
-1, 0, 1/4, 1
Let f(v) be the second derivative of -v**7/11340 - v**6/3240 - 23*v**4/12 - 5*v. Let u(w) be the third derivative of f(w). Factor u(o).
-2*o*(o + 1)/9
Let m(q) be the second derivative of 7/2*q**3 + 3*q**2 - q**4 + 0 + 21*q. Find z such that m(z) = 0.
-1/4, 2
Suppose 5*x - 6*c + 2*c = 27, -5*c - 24 = -3*x. Find d such that 12*d**2 - 6*d**3 + 14*d + 0*d**5 - 2*d**x - 6*d**5 - 16*d**4 + 4 = 0.
-1, -2/3, 1
Let i(b) = 10*b + 233. Let x be i(-23). Let k(c) be the first derivative of -4 + 4*c - c**4 - 4/3*c**x + 2*c**2. What is g in k(g) = 0?
-1, 1
Let o(x) be the second derivative of x**7/630 - x**6/180 - 5*x**2 + 19*x. Let w(q) be the first derivative of o(q). Factor w(u).
u**3*(u - 2)/3
Let z = -23838 - -23841. What is y in 0 - 10/3*y**z - 2*y**4 + 8/3*y**2 + 8/3*y = 0?
-2, -2/3, 0, 1
Let h(b) be the second derivative of b**7/420 - b**5/60 + 7*b**3/6 + 7*b. Let z(i) be the second derivative of h(i). Find j, given that z(j) = 0.
-1, 0, 1
Let y be (-1)/((-3)/(-9)) + 324/100. Let g = y - 1/25. Determine a, given that g*a**2 + 4/5*a + 3/5 = 0.
-3, -1
Let b be (18/10)/((-84)/(-280)). Let q be -1 - (1 + (-22)/b) - -3. Suppose -q*d**3 + 0 - 4/3*d**2 + 0*d = 0. Calculate d.
-2/7, 0
Let p be (3 - (-28)/(-12))/((-2)/3). Let u be (-9 - -15) + ((-8)/p)/(-2). Let -12*c**4 - 10/3*c - 1/3 - 13/3*c**u + 20*c**3 = 0. Calculate c.
-1/6, 1
Suppose -8 = -4*o + 4. Suppose a - o*a + 6 = 0. Factor 56 + 0*k - a*k**3 + 3*k - 56.
-3*k*(k - 1)*(k + 1)
Let y(a) be the first derivative of a**4/28 + a**3/3 + 2*a**2/7 - 12*a/7 + 19. Solve y(g) = 0 for g.
-6, -2, 1
Find j, given that -3*j**2 + 15811 + 468*j + 6*j**2 + 2441 = 0.
-78
Let y = -30150 - -30154. Factor 2/7*w**5 + 0*w**y + 2/7*w - 4/7*w**3 + 0 + 0*w**2.
2*w*(w - 1)**2*(w + 1)**2/7
Let v(q) be the third derivative of q**8/84 - 2*q**7/105 - 23*q**6/30 - 13*q**5/5 - 3*q**4 - 4*q**2 + 2. Factor v(z).
4*z*(z - 6)*(z + 1)**2*(z + 3)
Let -6/7*t**2 + 0 - 5/7*t - 1/7*t**3 = 0. Calculate t.
-5, -1, 0
Let w = 157 + -151. Let b(s) be the second derivative of -4*s + 0*s**4 + 0*s**3 + 0 + 1/27*s**w - 1/27*s**7 + 1/45*s**5 + 0*s**2. Factor b(u).
-2*u**3*(u - 1)*(7*u + 2)/9
Let t be (-6 + 0)/(195/13 + -16). Let r(b) be the second derivative of 1/10*b**3 - 1/60*b**4 + 0 - 3*b + 1/75*b**t - 3/100*b**5 - 1/10*b**2. Factor r(j).
(j - 1)**2*(j + 1)*(2*j - 1)/5
Let l(j) be the third derivative of j**5/80 + 5*j**4/16 + 9*j**3/8 + 2*j**2 - 21*j. Factor l(h).
3*(h + 1)*(h + 9)/4
Let z = 2 - 1/2. Suppose -1659*u + 1669*u - 1 = -1. Factor 0*c + u*c**2 + z*c**3 + 0.
3*c**3/2
Let c(g) be the second derivative of g**5/160 + g**4/48 - 7*g**3/48 + g**2/4 + 312*g. Factor c(i).
(i - 1)**2*(i + 4)/8
Suppose 2*k + 5*c = 770 - 740, c = -k + 6. Factor -1/3*x - 2/3*x**2 - 1/3*x**3 + k.
-x*(x + 1)**2/3
Let u(k) be the second derivative of 3/20*k**5 + 0*k**4 + 0*k**2 + k + 2 + 1/10*k**6 + 0*k**3. Let u(w) = 0. What is w?
-1, 0
Let o(c) be the second derivative of 11/10*c**5 + 0*c**2 - c**4 + 0 + 0*c**3 + 33*c + 4/5*c**6 - 5/21*c**7. Solve o(s) = 0 for s.
-1, 0, 2/5, 3
Let p(v) = -4807*v**4 - 120741*v**3 - 1138368*v**2 - 4770294*v - 7496207. Let g(s) = -s**4 - s**3 + 2*s - 3. Let i(h) = -10*g(h) + 2*p(h). Factor i(f).
-4*(7*f + 44)**4
Let f be (-8)/36 - (-559)/1989. Let t(o) be the second derivative of 0 + 1/102*o**4 + 0*o**3 + 7*o - f*o**2. Suppose t(k) = 0. What is k?
-1, 1
Let b = -7 + 