
Let c = -85577/20 - -4279. Let h(a) be the second derivative of 0 + 7/2*a**3 - 12*a - 5/4*a**4 - 9/2*a**2 + c*a**5. Solve h(q) = 0.
1, 3
Let b(t) be the third derivative of t**5/120 + 17*t**4/16 - 118*t**3/3 + 8*t**2 + 289*t. Determine q, given that b(q) = 0.
-59, 8
Factor -18 - 37/4*k**2 + 2*k**3 - 207/4*k.
(k - 8)*(k + 3)*(8*k + 3)/4
Let x = 68977/3 + -68975/3. Factor -x*q**2 + 2/9*q**3 - 8/3 - 32/9*q.
2*(q - 6)*(q + 1)*(q + 2)/9
Let r(g) be the first derivative of 6*g - 1/2*g**4 - 277 + 5*g**2 + 2/3*g**3. Suppose r(j) = 0. Calculate j.
-1, 3
Let b = 311546/7 + -44486. Factor -4/7*q**4 - b + 44/7*q**2 + 48/7*q - 8/7*q**3.
-4*(q - 2)**2*(q + 3)**2/7
Let p(k) be the third derivative of 0*k - 1/360*k**5 - 1/16*k**4 + 0 - 156*k**2 - 5/9*k**3. Factor p(l).
-(l + 4)*(l + 5)/6
Let f(t) = -11*t**2 - 13*t - 87*t + 62*t**2 + 3*t**2 + 7*t**3 - 6. Let v(h) = 100*h**3 + 755*h**2 - 1400*h - 85. Let b(i) = 85*f(i) - 6*v(i). Factor b(o).
-5*o*(o - 10)*(o - 2)
Suppose 0*w = -3*w + 6. Suppose 0 = 2*m + 2*y - 60, 3*m = -w*m - 4*y + 150. Let -m*f - f**3 + f**4 + 30*f = 0. Calculate f.
0, 1
Let a(x) be the first derivative of -x**6/10 + x**5/12 + x**4/12 + 303*x**2/2 - 138. Let v(b) be the second derivative of a(b). Solve v(q) = 0.
-1/4, 0, 2/3
Let z(c) = 2*c**4 + 5*c**3 + 69*c**2 - 28*c - 4. Let u(j) = 12*j**4 + 24*j**3 + 345*j**2 - 138*j - 21. Let x(s) = -4*u(s) + 21*z(s). Factor x(w).
-3*w*(w - 4)*(w + 3)*(2*w - 1)
Let i = 7306/9 + -49918/63. Suppose -4/7*l**5 + 24/7 - 92/7*l + i*l**2 - 96/7*l**3 + 32/7*l**4 = 0. What is l?
1, 2, 3
Let v = -504938/59 + 8558. Let z = 38/295 - v. Factor 0 + 2/5*s**3 + z*s**2 + 0*s.
2*s**2*(s + 1)/5
Suppose 252 = -15*c + 9*c. Let t be (4/70)/((-174)/c + -4). Factor 2/15*h**4 + 4/15*h + 0*h**3 + 0 - t*h**2.
2*h*(h - 1)**2*(h + 2)/15
Let q be (-2)/26*-119 + 3594/(-23361). Factor q + 78*s - 243/4*s**3 + 621/4*s**2.
-3*(s - 3)*(9*s + 2)**2/4
Let a = -188 - -190. Determine z, given that 8*z**5 + 10*z + 35*z**4 - 85*z**3 - 7*z**2 - 18*z**a + 67*z**5 - 10*z**2 = 0.
-1, -2/3, 0, 1/5, 1
Let 2*y**3 - 5161*y**2 + 120*y - 5213*y**2 + 10310*y**2 = 0. Calculate y.
0, 2, 30
Solve -1058 + 1/2*k**2 - 525/2*k = 0 for k.
-4, 529
Let j be 63/(-4) + (-3)/12. Let l be (-16)/(-88)*(38 + j). Determine k, given that 3 - 6*k + 3/2*k**3 - 3/4*k**l + 9/4*k**2 = 0.
-2, 1, 2
Factor -7/8*y - 1/8*y**2 - 3/2.
-(y + 3)*(y + 4)/8
Let n be 3 + (11985/90)/(-47). Let r(l) be the first derivative of 2*l - 1/9*l**3 - 9 - n*l**2. Factor r(k).
-(k - 2)*(k + 3)/3
Let l(q) = -q**3 + 10*q**2 - 15*q - 4. Let h be l(8). Factor -13 - 2*t**4 - t**3 + 3*t**2 + 2*t**h + t + 11 - t**4.
-(t - 1)**2*(t + 1)*(t + 2)
Let u(h) be the first derivative of h**6/120 - h**5/20 + h**4/12 + 19*h**2/2 - 82. Let i(y) be the second derivative of u(y). Factor i(g).
g*(g - 2)*(g - 1)
Solve -65*a + 200/3*a**3 + 90 - 5/3*a**5 - 20/3*a**4 - 250/3*a**2 = 0.
-9, -1, 1, 2, 3
Let h be ((-147)/(-245))/((-30)/(-20)). Find g, given that -8/5*g**2 + 0 + 0*g + h*g**3 = 0.
0, 4
Let q be 2/(-11) - ((-18176)/264)/(-32). Let n = -1 - q. Find b such that -8/3*b - n*b**2 - 4/3 = 0.
-1
Let m be -34 - -17 - -39 - 19. Factor -26/3*i**m - 2/3*i**4 - 70/3*i**2 + 98/3*i + 0.
-2*i*(i - 1)*(i + 7)**2/3
Let d = -1235782/5 - -247157. Suppose 0 + d*b**2 - 9/5*b = 0. What is b?
0, 3
Let t(s) be the second derivative of 4*s**5/5 - 75*s**4 - 272*s**3 + 232*s**2 + 3326*s. What is v in t(v) = 0?
-2, 1/4, 58
Suppose -6*l + 24 = 6*l - 0. Let h(t) be the third derivative of 0*t + 0 + 1/12*t**4 - 5*t**l + 1/60*t**5 + 0*t**3. Factor h(c).
c*(c + 2)
Let g(m) be the third derivative of m**5/15 - 8*m**4/3 + 10*m**3 + m**2 - 420*m. Suppose g(q) = 0. What is q?
1, 15
Determine g, given that 165*g + 29*g**2 + 243 + 1/3*g**3 = 0.
-81, -3
Let s(f) be the second derivative of 481/30*f**4 + 0 - 21/25*f**5 - 58*f - 56*f**3 + 80*f**2 + 1/75*f**6. Solve s(b) = 0.
1, 20
Let h(x) = 10*x + 102. Let v = -213 - -203. Let i be h(v). Solve 0 + 1/5*r**3 - 1/5*r**i + 0*r = 0.
0, 1
Let o(b) be the first derivative of -b**7/210 + b**6/15 + 11*b**5/100 - 11*b - 40. Let s(y) be the first derivative of o(y). Factor s(x).
-x**3*(x - 11)*(x + 1)/5
Solve -71/2 + 1/4*p**3 - 283/4*p - 35*p**2 = 0 for p.
-1, 142
Let y(f) be the third derivative of 41 + 1/10*f**5 + 0*f - f**2 - 25/24*f**4 + 1/120*f**6 + 3*f**3. Factor y(a).
(a - 2)*(a - 1)*(a + 9)
Let r(c) be the third derivative of 0*c - 3/20*c**4 - 22/15*c**3 - c**2 + 121 + 1/150*c**5. Factor r(z).
2*(z - 11)*(z + 2)/5
Suppose j = -2*k + 5*k, -4*k = j - 7. Factor -183*w - 225*w**2 + 565*w**3 - 215 - 252*w - 570*w**j.
-5*(w + 1)**2*(w + 43)
Let q(l) be the first derivative of l**6/6 - 76*l**5/5 + 149*l**4/4 - 74*l**3/3 - 3088. Find k, given that q(k) = 0.
0, 1, 74
Let q(y) be the first derivative of 0*y**2 + 0*y + 1/8*y**4 - 171 + 17/3*y**3. Let q(c) = 0. Calculate c.
-34, 0
Solve 0 + 0*s**2 - 4*s**3 + 0*s + 4/3*s**4 = 0 for s.
0, 3
Factor 33/2*i**3 - 343/2*i + 11 - 166*i**2.
(i - 11)*(i + 1)*(33*i - 2)/2
Let h(y) be the first derivative of -11*y**3 + 3195*y**2/2 + 582*y + 670. Factor h(k).
-3*(k - 97)*(11*k + 2)
Let k(l) be the third derivative of l**7/1050 + l**6/60 - 7*l**5/100 - 59*l**4/60 - 44*l**3/15 - 95*l**2 + 1. Suppose k(d) = 0. Calculate d.
-11, -2, -1, 4
Factor -60*w + 28*w**2 - 30*w**3 + 62*w**4 - 27*w**4 - 30*w**4 - 31*w**2 + 20 + 68*w**2.
5*(w - 2)**2*(w - 1)**2
Let t be (432/240 - 369/(-45)) + -7. Let 0 - f**2 - 9/4*f**t + 0*f**4 + 3*f + 1/4*f**5 = 0. Calculate f.
-2, 0, 1, 3
Suppose -d - 2 = -c, -c = -2*d + 1 - 5. Suppose 21*q - 95 - 115 = c. Factor 1/2*s**2 + q*s + 50.
(s + 10)**2/2
Let n(k) be the third derivative of -k**7/33 - 37*k**6/330 + 59*k**5/330 + 37*k**4/66 - 8*k**3/11 - 5*k**2 - 15. Solve n(l) = 0.
-12/5, -1, 2/7, 1
Let l = -91 - 47. Let n = -103 - l. Find q, given that -23*q**2 + 36*q**3 + 132*q**2 + 139*q - n*q - 32 + 63*q**2 = 0.
-4, -1, 2/9
Let o be ((-4)/(-1))/4 + 24*22. Let 109 + 4*n**2 + 38 - 33*n + o - 71*n = 0. What is n?
13
Let z = -120501/19 - -62044373/9785. Let f = -20/103 - z. Suppose 24*l + f*l**3 + 15 - 57/5*l**2 = 0. Calculate l.
-1/2, 5
Determine a so that 4/5*a**3 + 6000 + 2240*a + 412/5*a**2 = 0.
-50, -3
Factor -621/7*t - 2430/7 - 48/7*t**2 - 1/7*t**3.
-(t + 9)**2*(t + 30)/7
Let f(q) = q**3 + 10*q**2 - 206*q - 120. Let u be f(-20). Find d, given that 9/4*d**4 + 0 + 1/2*d**3 + 0*d**2 + 5/2*d**5 + u*d = 0.
-1/2, -2/5, 0
Let k be (-47 - (-3 + -28)) + 19. What is y in 50/7 + 13/7*y**k + 1/7*y**4 + 57/7*y**2 + 95/7*y = 0?
-5, -2, -1
Let c(v) be the third derivative of v**8/56 - 74*v**7/105 - 133*v**6/10 - 30*v**5 + 283*v**4/12 + 154*v**3 + v**2 + 5*v + 57. Suppose c(p) = 0. Calculate p.
-7, -1, 2/3, 33
Let t be ((-6435)/3300)/(6/8) + (-3)/5*-5. Determine k so that 64/5*k + 512/5 + t*k**2 = 0.
-16
Let u(i) be the first derivative of -i**4/2 + 94*i**3/3 - 91*i**2 + 90*i + 11. Factor u(m).
-2*(m - 45)*(m - 1)**2
Let i be (-34)/(-4) + 9/(-6). Suppose 4*l - i*l + 3*v = -24, 0 = -4*l - v + 12. Suppose l*q**2 + 13 + 4 - 1 + 0*q + 16*q = 0. Calculate q.
-2
Let k(w) be the first derivative of 36*w**3 - 16/3*w + 7 + 320/3*w**2. Factor k(t).
4*(t + 2)*(81*t - 2)/3
Let o(x) be the third derivative of -x**7/210 - 197*x**6/60 - 37609*x**5/60 + 9850*x**4 - 60000*x**3 + 11*x**2 + 5*x + 2. Let o(z) = 0. What is z?
-200, 3
Factor 52/3 + 2/9*j**2 - 58/9*j.
2*(j - 26)*(j - 3)/9
Let i(y) = -2 - 5*y - 3 - 4*y**2 + y**3 + 11. Let x be i(5). Factor 4*j**4 + 7*j**3 + x*j**3 + 4*j**2 - 5*j**3.
4*j**2*(j + 1)**2
Let m be 34743/3885 + 133/(-35). Let -2/7*x**5 - 12/7*x**4 - m + 32/7*x**2 - 12/7*x**3 + 30/7*x = 0. What is x?
-3, -2, 1
Let t(n) = -n**3 + 2*n**2 - 1. Let b(l) = -3*l**3 - 9*l**2 + 2. Let v be -1 + (-1 + 3)/(-2). Let o(p) = v*t(p) - b(p). Suppose o(g) = 0. What is g?
-1, 0
Let f be (-732)/14*1827/(-783) + -14. Factor f + 3/4*s**2 - 18*s.
3*(s - 12)**2/4
Let k(s) be the first derivative of 20*s**2 - 1/4*s**5 + 5/12*s**4 - 32*s - 2 + 25/3*s**3. Let g(i) be the first derivative of k(i). Factor g(f).
-5*(f - 4)*(f + 1)*(f + 2)
Let z(d) be the second derivative of -5*d**7/126 + 56*d**6/45 - 47*d**5/5 + 49*d**4/18 + 569*d**3/18 - 35*d**2 + 99*d - 18. Determine x so that z(x) = 0.
-1, 2/5, 1, 7, 15
Let x(i) = -i + 1. Suppose -3*q - 8 = 2*g, 3*g + g + 14 = -5*q. Let l(o) = 4*o**3 - 8*o**2 + 2