 - 1)**3/2
Solve -7*c**4 + 15*c**4 - 45*c**3 + 22*c**2 + 98*c**2 - 3*c**4 - 80*c = 0 for c.
0, 1, 4
Let o be (5 + 133/(-28))*(-8)/(-6). Factor 0*k - o*k**3 + 0 + 1/3*k**2.
-k**2*(k - 1)/3
Let c(f) be the third derivative of 0 + 0*f + 7/600*f**5 + 9*f**2 - 1/120*f**4 - 1/600*f**6 - 1/20*f**3. Determine v, given that c(v) = 0.
-1/2, 1, 3
Let g = -1575/34 - -796/17. Find s such that 1/2*s + 0 + 0*s**2 - g*s**3 = 0.
-1, 0, 1
Suppose 2*i + a = 6*i - 179, 0 = 3*i + 3*a - 123. Let -12*l**3 - 18 - 4*l**3 - i*l**2 - 90*l + 42*l - 2*l**4 = 0. What is l?
-3, -1
Let u(f) be the second derivative of -49*f**6/2 - 231*f**5/5 + 99*f**4 + 16*f**3 - 96*f**2 - 2*f - 6. Find t, given that u(t) = 0.
-2, -2/5, 4/7
Suppose -7/2*p**3 + 4*p - 1/2*p**5 + 0 - 9/2*p**4 + 9/2*p**2 = 0. What is p?
-8, -1, 0, 1
Suppose 2*y + 5*z = 0, -z = -4*y + 3*z + 56. Suppose 5*f + y = 4*s - 29, 3*s + 3*f = 9. Factor 10 + 4*q**2 - s + 3*q + 5*q.
4*(q + 1)**2
Let p(n) be the first derivative of -n**6/360 + n**5/60 + 28*n**3/3 - 2. Let x(h) be the third derivative of p(h). Factor x(b).
-b*(b - 2)
Let f(z) be the second derivative of 2/3*z**2 + 7*z - 1/30*z**5 + 2/9*z**4 - 5/9*z**3 + 0. Determine h, given that f(h) = 0.
1, 2
Let f = -19 - -30. Suppose -4*t = 4*j + j - f, 0 = j - 2*t - 5. Factor j - 12*g**2 + 2 - 5*g - 5*g - 3.
-2*(g + 1)*(6*g - 1)
Let v(r) = r**3 - 2*r**2 + 5*r - 4. Let k be v(2). Determine z, given that 6*z**2 - 3*z**3 - 8 + k*z - 23*z + 14*z**3 + 3*z**4 + 5*z = 0.
-2, -2/3, 1
Let d = -35/171 - -13829/171. Let 2/3*o**2 - 44/3*o + d = 0. Calculate o.
11
Let j(y) = 8*y**5 - 75*y**4 + 112*y**3 - 38*y**2 - 7. Let o(q) = 3*q**5 - 25*q**4 + 37*q**3 - 13*q**2 - 2. Let b(c) = 2*j(c) - 7*o(c). Solve b(x) = 0 for x.
0, 1, 3
Let o(b) be the second derivative of -b**6/5 + 3*b**5/4 + 3*b**4/4 - 4*b**3 - 6*b**2 - 240*b. Solve o(i) = 0 for i.
-1, -1/2, 2
Let g(n) be the first derivative of -n**5/140 - n**4/21 - 5*n**3/42 - n**2/7 - 39*n - 30. Let a(s) be the first derivative of g(s). Suppose a(o) = 0. What is o?
-2, -1
Let t = 36 + -33. Let p(i) = -6*i**2 + 48*i - 96. Let c(y) = 2*y**2 - 21*y + 5*y + 12 + 20. Let n(s) = t*p(s) + 8*c(s). Factor n(d).
-2*(d - 4)**2
Let s(l) = -20*l**4 + 87*l**3 - 109*l**2 + 26*l + 8. Let n(f) = 13*f**4 - 58*f**3 + 72*f**2 - 17*f - 5. Let o(q) = 8*n(q) + 5*s(q). Factor o(m).
m*(m - 6)*(m - 1)*(4*m - 1)
Suppose -4*l + 6*l + 2*n = 12, 0 = l + 2*n - 10. Factor 92 + 36*o - 2*o**l - 125 - 129.
-2*(o - 9)**2
Let g(l) = -5*l + l**4 + 3*l**3 + l**4 + 3 + 1 + 4*l**2. Let t(q) = 2*q**4 + 3*q**3 + 5*q**2 - 6*q + 5. Let f(c) = -5*g(c) + 4*t(c). What is o in f(o) = 0?
-1, 0, 1/2
Let f(i) = 4*i**3 - 6*i**2 - 13*i + 24. Let j(v) = -v**3 + 2*v**2 + 3*v - 6. Let b(x) = 2*f(x) + 9*j(x). What is r in b(r) = 0?
-1, 1, 6
Let f(c) be the second derivative of c**5/5 + 11*c**4/3 - 8*c**3 - 12*c + 2. Factor f(t).
4*t*(t - 1)*(t + 12)
Let f(l) be the third derivative of -l**5/135 - 13*l**4/9 - 338*l**3/3 + 179*l**2. Let f(a) = 0. Calculate a.
-39
Let s(n) be the third derivative of 0*n**4 - 23*n**2 + 0 + 0*n**3 + 0*n + 0*n**6 - 1/1890*n**7 + 1/540*n**5. Factor s(i).
-i**2*(i - 1)*(i + 1)/9
Suppose 392 = 9*i + 374. Let j be (0/(-1))/(2/2). Suppose 10*d**2 - 12*d**i + j*d**5 + 2*d**4 + d - d**5 = 0. What is d?
-1, 0, 1
Let h(m) be the first derivative of 0*m**2 + 0*m**3 + 0*m - 9 + 0*m**4 + 1/2*m**5 - 5/6*m**6. Determine o so that h(o) = 0.
0, 1/2
Factor 678*d**5 - 681*d**5 - 111*d + 30*d**4 + 69*d**2 - 102*d**3 + 87*d**2 + 30.
-3*(d - 5)*(d - 2)*(d - 1)**3
Let a(u) be the third derivative of u**7/210 - u**6/10 + 9*u**5/10 - 9*u**4/2 - 3*u**3/2 + 9*u**2. Let i(t) be the first derivative of a(t). Factor i(f).
4*(f - 3)**3
Let v(i) be the second derivative of -15*i + 7/90*i**6 - 1/6*i**2 - 1/42*i**7 - 1/30*i**5 + 5/18*i**3 - 1/6*i**4 + 0. Suppose v(n) = 0. What is n?
-1, 1/3, 1
Let p(f) be the third derivative of 0 - 1/12*f**5 + 0*f + 1/12*f**3 + 11/480*f**6 + 7/96*f**4 - 2*f**2. Factor p(s).
(s - 1)**2*(11*s + 2)/4
Let s(f) be the first derivative of f**6/30 - 2*f**5/5 + 2*f**4 - 16*f**3/3 + 15*f**2/2 - 19. Let i(r) be the second derivative of s(r). Factor i(c).
4*(c - 2)**3
Let u be (-2 - 6/(-4))*4. Let o = u + 5. Factor 4*a**2 - 5*a**5 + 2*a**3 - 4*a**2 + o*a**5.
-2*a**3*(a - 1)*(a + 1)
Let v(i) = 2*i + 26. Let b be v(9). Solve -5*j**3 + 19 - 339 - 16*j**2 - b*j**2 - 240*j = 0 for j.
-4
Let j = -2512/3 + 838. Let y(n) be the first derivative of -2/5*n**5 + n**4 + 2 + 0*n**2 + 0*n - j*n**3. What is t in y(t) = 0?
0, 1
Factor 0*h + 625/9*h**2 + 1/9*h**4 + 50/9*h**3 + 0.
h**2*(h + 25)**2/9
Let o = 2 - 0. Let y be 18/(-60) + 242/140. Factor 0*g + 6/7*g**4 + 4/7*g**o - y*g**3 + 0.
2*g**2*(g - 1)*(3*g - 2)/7
Let f = 619/382140 - 2/19107. Let n(r) be the third derivative of -1/165*r**5 + 1/44*r**4 + 0*r**3 - f*r**6 + r**2 + 0 + 0*r. Factor n(o).
-2*o*(o - 1)*(o + 3)/11
Let p = 18 - 6. Suppose -28*r - p = -32*r. Factor -2/3*i**2 + 2/3 - 4/3*i**r + 4/3*i.
-2*(i - 1)*(i + 1)*(2*i + 1)/3
Let b(c) = 20*c**3 - 15*c**2 - 20*c + 15. Let t be (-20)/30 - (-17)/3. Let j(r) = r**3 - r**2 - r + 1. Let w(g) = t*j(g) - b(g). Factor w(i).
-5*(i - 1)*(i + 1)*(3*i - 2)
Solve -2/3*r**2 + 1156/3*r - 167042/3 = 0 for r.
289
Solve -8/11*v**5 + 26/11*v**3 - 26/11*v**4 + 104/11*v**2 + 0 + 24/11*v = 0.
-3, -2, -1/4, 0, 2
Suppose 0 = -2*s + 7*s. Let j be (-45)/60 - 22/(-8). Factor 2/7*v**j + s - 2/7*v.
2*v*(v - 1)/7
Let w(h) be the first derivative of -h**3/24 - 47*h**2/16 + 49*h/4 + 223. Determine g so that w(g) = 0.
-49, 2
Let j(d) = 2*d - 3*d - 2*d**2 - 12 + 1 + 4*d. Let r(g) be the second derivative of -g**4/6 + 2*g**3/3 - 5*g**2 - 25*g. Let q(n) = -4*j(n) + 5*r(n). Factor q(s).
-2*(s - 3)*(s - 1)
Factor -120*a**3 - 18*a**2 - 4*a**4 + 80*a**3 - 18*a**2.
-4*a**2*(a + 1)*(a + 9)
Factor 1/5*f**5 + 0*f + 4/5*f**3 + 0*f**2 + 0 + f**4.
f**3*(f + 1)*(f + 4)/5
Let o(q) = -8*q**3 - 8*q**2 - 6*q. Suppose -9 = -2*g + 7. Let m be 4/(-16) - 6/g. Let j(c) = -c**3 - c**2 - c. Let u(h) = m*o(h) + 6*j(h). Factor u(z).
2*z**2*(z + 1)
Let a be (-1)/(-5)*(3 + 2). Factor -d**4 - 2*d**3 + a - 161*d + 0*d**3 + 163*d.
-(d - 1)*(d + 1)**3
Let i be 11/(176/40) - (-2)/4. Suppose -27 = i*v - 33. Let -1/6*u**3 + 1/6*u - 1/6*u**v + 1/6 = 0. Calculate u.
-1, 1
Let d(r) be the third derivative of r**6/15 - 11*r**5/30 + 5*r**4/12 + 2*r**3/3 + 121*r**2. Factor d(z).
2*(z - 2)*(z - 1)*(4*z + 1)
Let w(t) be the third derivative of t**9/90720 + t**8/30240 - 9*t**5/20 + 3*t**2. Let m(u) be the third derivative of w(u). Solve m(p) = 0.
-1, 0
Let t(l) = l**3 - 5*l**2 - l + 7. Let z be t(5). Let j(d) be the first derivative of 4/7*d - 9 + 1/7*d**z - 2/21*d**3. Let j(i) = 0. What is i?
-1, 2
Let u(j) = -j + 5. Let o be u(6). Let d be (1/2)/(o/(-10)). Suppose 13*v**5 - 6*v - 9*v**3 - v**5 - 21*v**4 + 3*v**d + 21*v**2 = 0. What is v?
-1, 0, 2/5, 1
Let z = 8 + -5. Suppose -5*o + i + 6 = 0, 87 = 5*i + 67. What is y in 5*y**3 + 4*y**4 + 0*y**o - 29*y**z + 36*y**2 = 0?
0, 3
Let t(y) be the first derivative of -y**3/3 - y + 20. Let d(u) = -5*u**2 - 3*u - 6. Let l(s) = -d(s) + 6*t(s). Factor l(k).
-k*(k - 3)
Suppose 22/13*v + 18/13*v**2 + 8/13 - 2/13*v**4 + 2/13*v**3 = 0. What is v?
-1, 4
Factor 74*t - 96 - t**2 - 19*t**2 - 2*t**3 + 14*t + 4*t**2.
-2*(t - 2)**2*(t + 12)
Let x(q) be the first derivative of 6/5*q**5 - 2/5*q**2 + 8/5*q**4 + 0*q + 5 - 2/15*q**3. Determine d, given that x(d) = 0.
-1, -2/5, 0, 1/3
Let c(r) be the third derivative of r**6/420 - 32*r**5/105 + 319*r**4/28 + 726*r**3/7 + 50*r**2. Factor c(g).
2*(g - 33)**2*(g + 2)/7
Let r = 2246 - 2244. Factor 2/7*k**4 + r*k**2 + 6/7*k + 10/7*k**3 + 0.
2*k*(k + 1)**2*(k + 3)/7
Suppose -54 = a - 56. Factor 0*x - x - 72 - 3*x**3 - x**3 + 16*x**a + 13*x.
-4*(x - 3)**2*(x + 2)
Let w(m) = -3*m**3 + 1. Let k = -21 + 26. Let r(v) = v**4 - v**3 + v**2 + 1. Let a(y) = k*r(y) - 5*w(y). Solve a(p) = 0 for p.
-1, 0
Suppose 2/9*y**2 - 4/9*y - 2/3*y**4 + 0 + 8/9*y**3 = 0. What is y?
-2/3, 0, 1
Let 100*u - 58*u**3 - 10*u + u**3 - 237*u**2 - 62*u**3 + 23*u**3 - 9*u**4 = 0. Calculate u.
-6, -5, 0, 1/3
Let p(h) = -5*h**3 - 6*h**2 + 5*h + 2. Let x(b) = -b**3 - b**2 + b. Let i(c) = -p(c) + 4*x(c). Solve i(r) = 0.
-2, -1, 1
Let a(u) be the first derivative of -u**6/2700 + u**5/450 - u**4/180 - 7*u**3/3 - 15. Let v(z) b