1*f + 84. Let c(w) = -b(w) + 5*t(w). Let g(p) = -10*p**2 + 325*p - 755. Let l(m) = 35*c(m) - 4*g(m). Factor l(h).
5*(h - 4)**2
Let x be (-11)/((-231)/3)*2. Suppose x*t - 1/7*t**2 + 0 = 0. Calculate t.
0, 2
Let a be (27/(-12))/(105/280) - (1 + -10). Solve 5/2*k - 7/6*k**2 + 1/6*k**a - 3/2 = 0 for k.
1, 3
Let g(c) be the third derivative of c**10/75600 + c**9/17640 - c**8/17640 - 41*c**5/60 - 26*c**2. Let s(w) be the third derivative of g(w). Factor s(j).
2*j**2*(j + 2)*(7*j - 2)/7
Let r be (-4)/(128/(-12))*-8 - (-28)/8. Suppose -1 + p**2 - 3/2*p + 2*p**3 - r*p**5 + 0*p**4 = 0. Calculate p.
-1, 1, 2
Let m = -19 + 23. Let l(g) = 21*g**2 + 33*g + 12. Let n(f) = -5*f**2 - 8*f - 3. Suppose 4*z + 30 = 6*z. Let b(u) = m*l(u) + z*n(u). Let b(h) = 0. What is h?
-1, -1/3
Solve 23/2*n**3 - 131/2*n - 15 - 85/2*n**2 + 7/2*n**4 = 0.
-5, -1, -2/7, 3
Let u(d) be the third derivative of d**6/360 - d**5/90 - 7*d**4/72 - 2*d**3/9 - 63*d**2. Factor u(h).
(h - 4)*(h + 1)**2/3
Let a(g) be the first derivative of 3*g**5/10 + 3*g**4/2 - g**3/2 - 3*g**2 - 23. Factor a(s).
3*s*(s - 1)*(s + 1)*(s + 4)/2
Let c(s) be the first derivative of -2*s - s**2 + 1/6*s**3 + 1/8*s**4 - 25. Solve c(w) = 0.
-2, -1, 2
Let i(q) be the second derivative of 0 - 3/5*q**4 + 15*q + 1/15*q**3 + 2/5*q**2 - 9/50*q**5. Determine c, given that i(c) = 0.
-2, -1/3, 1/3
Let v(r) be the third derivative of -r**6/60 + r**5/10 + r**4/3 - 5*r**2 - 7*r. Solve v(x) = 0 for x.
-1, 0, 4
Let w(o) be the second derivative of 5*o**4/4 + 215*o**3/3 - 145*o**2/2 - 4*o - 9. Suppose w(u) = 0. What is u?
-29, 1/3
Let j(t) = -9*t**3 + 7*t**2 - 2*t + 15. Let o(y) = -5*y**3 + 4*y**2 - y + 8. Suppose 55 = -6*b + b. Let z(w) = b*o(w) + 6*j(w). What is l in z(l) = 0?
-1, 1, 2
Let x(j) be the first derivative of 4*j**3/3 + 2*j**2 - 8*j - 282. Suppose x(v) = 0. What is v?
-2, 1
Let z = -991 - -994. Factor g**2 + 0 - 1/4*g**z - 3/4*g.
-g*(g - 3)*(g - 1)/4
Let p(f) = 5*f + 9. Let q(j) = -j. Let a(l) = -p(l) - 4*q(l). Let w be a(-11). Factor -18*t**w - 160/3*t**4 + 152/3*t**3 - 1/6 + 17/6*t.
-(4*t - 1)**3*(5*t - 1)/6
Suppose -51*j = -45*j - 24. Solve -73*y**j - 28*y + 71*y**4 + 44*y**2 + 4*y**5 - 17*y**3 - 7*y**3 + 6 = 0 for y.
-3, 1/2, 1
Suppose 3*n - 6*n + 18 = 0. Determine v, given that n*v**3 + 1 - 3*v**2 - 2 - 5 - 15*v + 0 = 0.
-1, -1/2, 2
Suppose -j + 0*k - k - 10 = 0, -2*k + 46 = -4*j. Let d = 13 + j. Suppose -15*y**2 + 5*y**4 + 2*y**4 - 3*y**4 + 3*y**d - 8*y = 0. Calculate y.
-1, 0, 2
Let a(u) be the second derivative of 1/46*u**4 + 13*u + 0 - 4/23*u**2 - 1/230*u**5 + 0*u**3. Factor a(q).
-2*(q - 2)**2*(q + 1)/23
Suppose -5*g + 0*g = -5*q + 255, 231 = -5*g - 3*q. Let d be (-6)/2*-1*g/(-63). Let -30/7*x**2 + 32/7*x**4 - 2/7 + d*x - 16/7*x**3 = 0. What is x?
-1, 1/4, 1
Let q = 179/72 + -11/8. Let h = -719 - -2177/3. Suppose q*y**4 - 16/9 - 46/9*y**3 - 8/9*y + h*y**2 = 0. Calculate y.
-2/5, 1, 2
Let u(p) be the third derivative of p**7/630 - p**5/20 + p**4/18 + 2*p**3/3 - 150*p**2. Suppose u(z) = 0. What is z?
-3, -1, 2
Let r(f) be the third derivative of -15*f**2 + 3/20*f**5 + 1/2*f**4 + 2/3*f**3 + 0 + 0*f + 1/60*f**6. Factor r(i).
(i + 2)**2*(2*i + 1)
Factor 1857*m - 5*m**3 - 225 - 2172*m + 36*m**2 - 131*m**2.
-5*(m + 1)*(m + 3)*(m + 15)
Let j(t) = -5*t**2 - 3. Let l(m) = -m**2. Let o(z) = j(z) - 6*l(z). Let w be o(-3). Factor i - 2*i**5 + 6*i**2 - i**5 + 2*i + 0*i - w*i**4.
-3*i*(i - 1)*(i + 1)**3
Let f = -32 - -35. Let w be f + 1 - (4 - 0 - 2). Factor -3/2 - 3/2*u**w + 3*u.
-3*(u - 1)**2/2
What is d in 0 + 26/7*d**2 + 30/7*d - 2/7*d**4 - 6/7*d**3 = 0?
-5, -1, 0, 3
Let a(n) = -n**2 - n + 2. Let d(y) = 8*y**2 + 11*y - 55. Let f(b) = 5*a(b) + d(b). Suppose f(g) = 0. Calculate g.
-5, 3
Let g = -271 - -271. Let c(a) be the third derivative of g*a**4 + 0*a**5 - 2/315*a**7 - 6*a**2 - 1/90*a**6 + 0 + 0*a**3 + 0*a. What is j in c(j) = 0?
-1, 0
Let o(b) be the third derivative of b**7/210 + 167*b**6/60 + 27889*b**5/60 - 427*b**2 + 1. Factor o(v).
v**2*(v + 167)**2
Let p = -39 + 48. Find v, given that -31*v**2 + p*v**4 - 5*v**5 + 0*v**3 + 2*v**5 + 34*v**2 - 9*v**3 = 0.
0, 1
Let u(s) be the first derivative of s**6/840 - s**4/56 + s**3/21 - 11*s**2/2 + 4. Let y(v) be the second derivative of u(v). Factor y(j).
(j - 1)**2*(j + 2)/7
Let a(n) = -n**5 - n**4 + n. Let u(p) = 13*p**2 + 3*p**2 + 3952 - 3948 - 2*p**4 + 4*p**3 + 12*p. Let k(g) = 2*a(g) + u(g). Factor k(t).
-2*(t - 2)*(t + 1)**4
Suppose 17 = -42*j + 32 + 69. Suppose 1/2 + 1/4*c - 1/4*c**j = 0. What is c?
-1, 2
Let v(r) be the second derivative of 5/2*r**4 - 7/6*r**6 - 1/2*r**5 + 6*r + 25/6*r**3 + 0 - 5/14*r**7 + 5/2*r**2. Solve v(s) = 0 for s.
-1, -1/3, 1
Solve f**4 + 5*f + 4*f**4 + 103*f**3 - 5*f**2 - 108*f**3 = 0.
-1, 0, 1
Let i(c) be the first derivative of 9/4*c**4 - 9/2*c**2 - c**3 - 8 - 3/5*c**5 + 6*c. Find w, given that i(w) = 0.
-1, 1, 2
Let o(w) = w**3 - w**2 - w. Let l(u) = -11*u - 18*u - 4 + 10*u + 16*u**3 - 9*u - 26*u**2. Let y(b) = -2*l(b) + 36*o(b). Factor y(s).
4*(s + 1)**2*(s + 2)
Let y(u) = u**4 + u**3 + u**2 + u + 1. Let l(w) = -2 - 34*w**3 - w**4 - 69*w**2 - 64*w - 22 - 8*w**4. Let m(z) = l(z) + 4*y(z). Factor m(x).
-5*(x + 1)**2*(x + 2)**2
Let r = -49177/30 + 1639. Let i = 1/6 - r. Factor 2/5*m**4 + 0 + 0*m**2 + i*m**3 + 0*m.
2*m**3*(m + 1)/5
Suppose u = -n + 7, 3*n + 18 = 4*u + 4. Let c(s) be the first derivative of 6*s**n + 1/16*s**4 + 16*s + s**3 + 7. Determine o, given that c(o) = 0.
-4
Suppose 340/7*u**4 + 0 + 2*u**5 + 104/7*u - 618/7*u**3 + 160/7*u**2 = 0. Calculate u.
-26, -2/7, 0, 1
Factor 1424*s - 2620*s - 4*s**2 + 1316*s.
-4*s*(s - 30)
Let l = 29 + -15. Let q = -10 + l. Determine c so that -2*c**2 + q*c**2 - 6*c - 1 + 3 + 2 = 0.
1, 2
Let h(q) be the third derivative of 0*q**3 - 30*q**2 + 0 + 0*q + 1/8*q**6 + 0*q**4 - 1/42*q**7 - 1/6*q**5. Factor h(j).
-5*j**2*(j - 2)*(j - 1)
Let x(u) be the third derivative of -u**5/60 - u**4/6 - 2*u**3/3 - 21*u**2. Factor x(c).
-(c + 2)**2
Let -498*z + 156*z + 178*z - 4*z**2 = 0. What is z?
-41, 0
Suppose -4*r - 4*f - 52 = 0, 0 = -5*r - f + 2*f - 71. Let g = r + 14. What is u in -8/7*u**3 + g + 0*u + 2/7*u**2 = 0?
0, 1/4
Let f = -2/695 + 10433/2780. Let l(p) be the first derivative of 21/2*p**2 + f*p**4 - 9*p**3 - 8 - 3/5*p**5 - 6*p. Let l(o) = 0. What is o?
1, 2
Suppose -4*a = -3*t - 42, 5*a = 8*a + 4*t - 44. Factor -36*q**2 + 8*q + a*q**3 + 7*q**4 + q**4 + 8*q**4 + 0*q**4.
4*q*(q - 1)*(q + 2)*(4*q - 1)
Suppose -o = -h + 2*o - 6, 2*h + 2*o = 20. Let f be 16/10 + (-444)/(-60). Find k, given that -h*k**2 + k**2 - 12*k + 2*k**2 + 6*k**2 + f = 0.
1, 3
Determine f so that -33/7*f**3 + 42 + 51*f + 3/7*f**4 + 27/7*f**2 = 0.
-2, -1, 7
Let a be ((-943)/(-451))/((-4)/(-22)). Find k such that -3 + a*k - 11*k**2 + 5/2*k**3 = 0.
2/5, 1, 3
Let t(u) be the second derivative of -1/16*u**4 - 3/4*u**2 + 0 + 11/24*u**3 - 4*u. Let t(h) = 0. What is h?
2/3, 3
Let n(q) be the first derivative of q**6/960 - q**5/80 + 3*q**4/64 - 4*q**3 - 15. Let v(t) be the third derivative of n(t). Factor v(c).
3*(c - 3)*(c - 1)/8
Let k(y) = -y + 31. Let s(g) = 30. Let m(w) = -6*k(w) + 5*s(w). Let l be m(6). Let 1/2*j**4 - 1/4*j**5 + 0*j + l*j**2 + 0 - 1/4*j**3 = 0. Calculate j.
0, 1
Factor -54/19*y - 14/19 - 66/19*y**2 - 26/19*y**3.
-2*(y + 1)**2*(13*y + 7)/19
Let f(s) = -s**5 + 2*s**4 + s**2 - s - 2. Let v(h) = 7*h**5 - 14*h**4 - 4*h**3 - 4*h**2 + 9*h + 12. Let c(w) = 30*f(w) + 5*v(w). Suppose c(o) = 0. Calculate o.
-1, 0, 1, 3
Let d be (-1)/(-5) + 15 + 1918/(-140). Suppose 21/2*u**2 + 0 - d*u = 0. Calculate u.
0, 1/7
Suppose 2*n = 4*k + 26, 3*k + k - 58 = -2*n. Suppose 0*p - 3*p = 3*t - n, t - 19 = -5*p. Solve c**4 + 3*c + 3*c**3 + 0*c**2 + 2*c - 4*c**3 - p*c**2 - 2 = 0.
-2, 1
Let s(t) = 20*t**4 + 9*t**3 - 11*t**2 + 17*t + 17. Let b(f) = -7*f**4 - 3*f**3 + 4*f**2 - 6*f - 6. Let i(c) = 17*b(c) + 6*s(c). Factor i(w).
w**2*(w + 1)*(w + 2)
Let s(m) = 15*m**2 - 65*m + 85. Let h(x) = -7*x**2 + 32*x - 42. Let w = 12 - 7. Let i(u) = w*h(u) + 2*s(u). Factor i(c).
-5*(c - 4)*(c - 2)
Let p(i) be the third derivative of 7*i**5/12 - 85*i**4/12 - 25*i**3/6 + 97*i**2 + 4*i. Solve p(g) = 0.
-1/7, 5
Determine a so that 32*a**3 - 210*a + 90 - 37*a**3 - 90 - 65*a**2 = 0.
-7, -6, 0
Suppose -8*z + 5 + 3 = 0. Let l be (z/3)/((-24)/(-36)). Solve 0 + 0*s**3 + 1