77*g**2 - 3*g**h - 8*g.
-4*g*(g - 1)**2*(g + 2)
Let i(t) be the first derivative of 94 - 3/7*t**2 - t**3 + 27/28*t**4 + 0*t. Factor i(x).
3*x*(x - 1)*(9*x + 2)/7
Let c be 8/(-7)*(-1260)/540. Find o, given that -2/9*o**2 - c + 26/9*o = 0.
1, 12
Suppose 0 = -8*a - 3*a + 13*a. Solve -1/5*y**4 + a*y + 0*y**3 + 0*y**2 + 0 + 1/5*y**5 = 0.
0, 1
Let y(d) be the first derivative of -d**6/30 + 3*d**5/25 + 2*d**4/5 - 4*d**3/5 - 8*d**2/5 + 459. Find q, given that y(q) = 0.
-2, -1, 0, 2, 4
Let f(w) be the third derivative of 4*w**5/35 - 43*w**4/84 + 6*w**3/7 - 2*w**2 - 21*w. Find v, given that f(v) = 0.
2/3, 9/8
Let a(h) be the third derivative of -h**2 - 2/105*h**7 - 2*h**4 - 220*h + 0 + 16/3*h**3 + 2/15*h**5 + 1/10*h**6. Factor a(q).
-4*(q - 2)**2*(q - 1)*(q + 2)
Let g = -79339 + 1031417/13. Factor 0 - g*z**3 - 2/13*z**4 + 0*z - 12/13*z**2.
-2*z**2*(z + 2)*(z + 3)/13
Let r = -5/186 - -3001/930. Let p = -59/20 + r. Factor p*a**3 + 0 + 1/4*a**2 - 1/2*a.
a*(a - 1)*(a + 2)/4
Let p(g) be the first derivative of g**4/4 + 2*g**3/3 + g**2/2 - 2*g - 50. Let c(h) = 6*h**3 + 11*h**2 + 5*h - 11. Let s(z) = -2*c(z) + 11*p(z). Factor s(b).
-b*(b - 1)*(b + 1)
Factor -3*h**4 + 100*h**2 + 4*h**4 + 28*h**3 - 257666*h + 257762*h.
h*(h + 2)**2*(h + 24)
Let l(y) be the third derivative of -1/21*y**4 + 4/7*y**3 - 54*y**2 + 0 - 1/30*y**5 - 1/420*y**6 + 0*y. Find u such that l(u) = 0.
-6, -2, 1
Let w(m) be the third derivative of 169*m**8/112 - 585*m**7/14 + 6127*m**6/40 - 843*m**5/4 + 113*m**4 - 30*m**3 - 1343*m**2. Find x such that w(x) = 0.
2/13, 1, 15
Let w = -7998658/15 - -533244. Let -w*d**2 - 1568/15 - 112/15*d = 0. Calculate d.
-28
Let d = -41 - -45. Suppose 4*a - 2*v = 26, -4*a + 5*a - 24 = d*v. Factor 5*j**2 - 6*j**3 - a*j**3 + 13*j - 4*j**4 - 3*j - j**4.
-5*j*(j - 1)*(j + 1)*(j + 2)
Suppose 138458 + 520316 + 2*c**2 + 2972*c + 155883 + 907711 + 740*c = 0. What is c?
-928
Let l(m) be the second derivative of -5/3*m**3 + 33*m + 0 - 1/12*m**7 + 17/12*m**4 - 2*m**2 + 17/40*m**5 - 4/15*m**6. Suppose l(z) = 0. What is z?
-2, -2/7, 1
Let f be (-50)/(-2 - (-52)/24). Let i = 303 + f. Factor 4/5*j**2 + 0*j - 1/5*j**i + 0.
-j**2*(j - 4)/5
Let v(r) be the first derivative of -r**5/30 + 2*r**4 - 23*r**3/3 - 23*r**2/2 - r - 120. Let g(p) be the second derivative of v(p). Factor g(q).
-2*(q - 23)*(q - 1)
Let f(z) be the third derivative of 29791*z**6/60 - 30752*z**5/5 + 31744*z**4 - 262144*z**3/3 - 397*z**2 - 7*z. Solve f(y) = 0.
64/31
Suppose 337*t = -38*t - 161 + 2036. Determine i, given that -16/3*i - 98/9*i**t + 0 + 70*i**4 - 280/9*i**2 - 68/3*i**3 = 0.
-2/7, 0, 1, 6
Let p(u) = u**2 + u - 1. Let h(f) = f**3 + 4*f**2 + 3*f - 5. Let q be -4 - (9/(-21) - (-54)/(-21)). Let z(w) = q*h(w) + 5*p(w). Factor z(c).
-c*(c - 2)*(c + 1)
Suppose 59*a - 6*a = 43 + 63. Let n(d) be the first derivative of 72/35*d**5 + 12/7*d**4 + 0*d**a - 32/21*d**3 - 9 + 0*d + 10/21*d**6. Solve n(v) = 0 for v.
-2, 0, 2/5
Let w(r) be the third derivative of r**7/42 + 7*r**6/12 + 23*r**5/4 + 85*r**4/3 + 200*r**3/3 + 378*r**2. Let w(m) = 0. What is m?
-5, -4, -1
Let i be 2/5 + (10 - 192/30). Factor -196520 - 6624*t**2 + 274752*t - 5*t**i - 60892*t - 5319*t**2 - 1787*t**2 + 515*t**3 - 4120*t**2.
-5*(t - 34)**3*(t - 1)
Suppose -2*l + 5*g - 173 = -5*l, 3*l - 171 = -3*g. Let s be (486/(-12))/((-42)/l). Factor -18*f + s + 3/2*f**2.
3*(f - 6)**2/2
Find j such that -8281*j + j**4 + 181*j**3 + 8099*j**2 - 1180814 + 1180814 = 0.
-91, 0, 1
Let f(r) = 2*r**2 - r + 9. Let v be (-49)/(-7)*(-2)/(-7). Let w = v - -5. Let i(m) = 5*m**2 - 2*m + 19. Let l(s) = w*f(s) - 3*i(s). Suppose l(x) = 0. What is x?
-3, 2
Let c(k) be the first derivative of -k**6/36 - k**5 - 53*k**4/4 - 724*k**3/9 - 979*k**2/4 - 363*k - 2692. Find u, given that c(u) = 0.
-11, -3, -2
Let f(x) = 37*x + 222. Let m be f(-6). Let h(o) be the third derivative of m*o + 7/20*o**5 - 1/40*o**6 - o**4 - 8*o**3 - 18*o**2 + 0. Factor h(b).
-3*(b - 4)**2*(b + 1)
Let t(d) be the third derivative of d**8/84 - d**7/5 + 7*d**6/12 + 3*d**5/2 - 37*d**4/12 - 8*d**3 - 13*d**2 + 22*d. Determine v, given that t(v) = 0.
-1, -1/2, 1, 3, 8
Find g, given that 43/8 + 85/8*g - 1/8*g**3 + 41/8*g**2 = 0.
-1, 43
Let w(a) = a**4 - a**3 + 1. Let u(v) = -880*v - 48*v**3 - 9*v**3 + v**3 + 480*v**2 + 7*v**4 + 562 - 46*v**3. Let t(f) = u(f) - 2*w(f). Factor t(p).
5*(p - 14)*(p - 2)**3
Let u be (16/18)/(2/48). Let g(z) = -39*z**2 + 7022*z - 357. Let c be g(180). Determine h, given that u*h - 88/3*h**c - 8 - 10*h**4 + 10*h**2 = 0.
-3, -1, 2/5, 2/3
Let b(i) be the third derivative of -1/60*i**4 - 1/150*i**6 + 21*i**2 + 0*i - 1/60*i**5 + 0*i**3 - 1/1050*i**7 + 0. Factor b(k).
-k*(k + 1)**2*(k + 2)/5
Suppose -5*g - 4*l = -0*l - 30, 0 = -g - 4*l + 22. Suppose c - f + 2*f = 3, -6 = 4*c - g*f. Determine a so that 5/6*a**4 - 10/3*a + 0*a**2 + c + 5/2*a**3 = 0.
-2, 0, 1
Let r(t) be the first derivative of 5/2*t**2 + 85 - 5/3*t**3 + 0*t. Factor r(n).
-5*n*(n - 1)
Let 0 + 80*p - 76/5*p**3 - 4/5*p**4 - 64*p**2 = 0. What is p?
-10, 0, 1
Let h(s) be the first derivative of 173 + 11*s**3 - 9*s**2 + 0*s - 3/5*s**5 - 3*s**4. Solve h(f) = 0 for f.
-6, 0, 1
Let z(o) = 5*o**3 + 596*o**2 + 17986*o + 33610. Let k(n) = n**2 + n - 5. Let c(i) = -6*k(i) + z(i). Factor c(y).
5*(y + 2)*(y + 58)**2
Let a(k) be the first derivative of k**4/6 - 34*k**3 - 103*k**2 - 310*k/3 - 280. Suppose a(d) = 0. What is d?
-1, 155
Let y(p) be the second derivative of p**6/30 + p**5/3 + 4*p**4/3 + 8*p**3/3 - 143*p**2/2 + 100*p. Let q(m) be the first derivative of y(m). Factor q(v).
4*(v + 1)*(v + 2)**2
Let r be 12/(-8) - 63/(-14). Let 25 - 34*l**2 + 9*l - 5*l**r + 9*l**2 + 4*l - 18*l + 10*l = 0. Calculate l.
-5, -1, 1
Let b(h) = -3*h**3 - 408*h**2 - 1611*h - 1599. Let k(m) = -3*m**3 - 409*m**2 - 1610*m - 1598. Let r(x) = -2*b(x) + 3*k(x). Factor r(o).
-3*(o + 2)**2*(o + 133)
Let g(z) be the second derivative of 3/40*z**5 + 0 - 5/8*z**4 - 13/4*z**3 - 21/4*z**2 - 51*z. Factor g(b).
3*(b - 7)*(b + 1)**2/2
Factor 2/11*v**4 + 0 + 738/11*v**2 + 0*v + 252/11*v**3.
2*v**2*(v + 3)*(v + 123)/11
Suppose -x = -r + 4*r + 13, 2*r = 11*x - 32. Solve -39/8*h + 3/8*h**x + 33/4 = 0 for h.
2, 11
Let z = -169 + 379. Let f be 1/(-5) - (-642)/z. Suppose 16/7*v**2 - 38/7*v + 2/7*v**3 + f = 0. What is v?
-10, 1
Let y(v) be the first derivative of 0*v + 42 - 5/6*v**3 - 15/2*v**2 + 5/2*v**4 - 1/2*v**5. Factor y(r).
-5*r*(r - 3)*(r - 2)*(r + 1)/2
Let o(r) be the second derivative of 27/20*r**5 - 1/2*r**6 + 12/5*r**2 - 18/5*r**3 + 13/10*r**4 + 0 - 57*r. Solve o(z) = 0 for z.
-1, 2/5, 2
Let x(a) be the second derivative of a**7/56 - a**6/40 - 15*a**5/16 + a**4/16 + 21*a**3 + 54*a**2 - 10920*a. Suppose x(l) = 0. What is l?
-3, -1, 4
Let x(y) = -y**4 + 3*y**3 - 7*y. Let b(l) = 2*l**4 - 6*l**3 + 15*l. Let f be (-8)/((-48)/(-6)) - -4. Let w(j) = f*b(j) + 7*x(j). Factor w(h).
-h*(h - 2)**2*(h + 1)
Let x(h) be the first derivative of -1/2*h**4 - 6/7*h - 1/7*h**2 + 43 + 22/21*h**3. Solve x(f) = 0.
-3/7, 1
Suppose -4*b = -3*a + 5696, 5*b - 1009 - 4696 = -3*a. Let y = 1904 - a. Factor -6/7*k**3 - 10/7*k**2 + 2/7*k**y + 8/7 + 6/7*k.
2*(k - 4)*(k - 1)*(k + 1)**2/7
Suppose 0*g + 65 = 5*a - g, 2*a + g - 19 = 0. Suppose 4*k - 12 = 4*z, 5*z - a = 4*k - 27. Let 0*b + 0 - 2/3*b**4 + k*b**3 + 0*b**2 = 0. What is b?
0
Suppose 0 = x - 5*g - 27, 70*x - g - 11 = 67*x. Find s, given that -1/2*s**x - 3/2*s - 1 = 0.
-2, -1
Let u(s) be the first derivative of -s**6/280 - s**5/35 - s**4/56 + 3*s**3/7 + 85*s**2/2 - 89. Let l(a) be the second derivative of u(a). Factor l(c).
-3*(c - 1)*(c + 2)*(c + 3)/7
Let z(v) be the second derivative of 27*v**5/20 + 37*v**4/2 + 151*v**3/2 + 45*v**2 - 543*v. Factor z(j).
3*(j + 3)*(j + 5)*(9*j + 2)
Let v = 58 - 55. Let m be ((-9)/(-4))/((-7)/(-28)). Factor m*k**3 + 4*k**2 + 5*k**v - 4 - 10*k - 4*k.
2*(k - 1)*(k + 1)*(7*k + 2)
Let g(q) be the second derivative of -5*q**8/336 + q**7/14 - q**5/3 - 27*q**2/2 - q - 3. Let a(p) be the first derivative of g(p). Factor a(h).
-5*h**2*(h - 2)**2*(h + 1)
Let u(f) be the second derivative of -5*f**7/14 - 109*f**6/10 - 3441*f**5/50 + 3469*f**4/10 - 5361*f**3/10 + 3861*f**2/10 - 5267*f. What is t in u(t) = 0?
-13, -11, 3/5, 1
Let j(n) be the first derivative of 2*n**3/57 + 56*n**2/19 + 1568*n/19 - 3943. Factor j(z).
2*(z + 