+ 4*u - 20. Let h(i) = -k(i) - v(i). Find d such that h(d) = 0.
-1, 1, 4
Suppose -16 = -0*r - r. Suppose -v + r = 3*x, 5*v + x - 4*x - 8 = 0. Factor 0*q**3 - 16*q + 12*q**3 + v*q**5 + 26*q**4 - 16*q**2 - 10*q**4 + 0*q**3.
4*q*(q - 1)*(q + 1)*(q + 2)**2
Let v(q) be the first derivative of 2*q**5/15 + 5*q**4/6 + 8*q**3/9 - 57. Factor v(f).
2*f**2*(f + 1)*(f + 4)/3
Suppose -6*r + 301 - 265 = 0. Let y(i) be the first derivative of -81/4*i + 1/8*i**r + 27/20*i**5 - 81/8*i**2 + 39/8*i**4 + 9/2*i**3 + 8. Factor y(z).
3*(z - 1)*(z + 1)*(z + 3)**3/4
Suppose 3*k = -2*k. Let b(q) = q**2 + q + 2. Let o be b(k). Suppose -8*t - 2*t**2 + 0*t**o - 2*t**2 + 0 - 4 = 0. Calculate t.
-1
Let b(k) be the first derivative of -k**4/2 + 16*k**3/3 - 17*k**2 + 20*k + 56. Find c, given that b(c) = 0.
1, 2, 5
Let p be 2/(-4)*-34 - 4. Suppose -b - 12*b**2 + p*b + 0*b**3 + 2*b**3 + b**3 = 0. Calculate b.
0, 2
Let r(t) be the first derivative of 4*t**5/5 - 4*t**4 + 4*t**3 + 8*t**2 - 16*t + 33. Factor r(d).
4*(d - 2)**2*(d - 1)*(d + 1)
Factor 3/5*o**2 - 6/5 + 3/5*o.
3*(o - 1)*(o + 2)/5
Factor 5874 - 9310*p - 4*p**3 + 5142 - 389*p**2 - 3813.
-(p + 49)**2*(4*p - 3)
Let d(l) = -l**3 - 5*l**2 + 4. Let w(h) = -5*h**3 - 26*h**2 + 20. Let f be ((-6)/5)/((-1)/5) - 0. Let g(q) = f*w(q) - 33*d(q). Factor g(t).
3*(t - 1)*(t + 2)**2
Let u(f) = -f + 165*f**3 + 2*f + 1 - 166*f**3. Let l(r) = -4*r**3 - 9*r**2 + 4*r + 10. Let d(a) = -l(a) + u(a). Let d(s) = 0. Calculate s.
-3, -1, 1
Let t(h) be the third derivative of -2*h**7/735 + 79*h**6/840 + 16*h**5/35 + 131*h**4/168 + 11*h**3/21 + 223*h**2. Let t(b) = 0. Calculate b.
-1, -1/4, 22
Let r be 0/(4 - (1 + 1)). Suppose 6*u - 8*u = r. Suppose 2*i**2 + u + 4/3*i + 0*i**3 - 2/3*i**4 = 0. Calculate i.
-1, 0, 2
Let b(h) = 5*h**2 - 85*h + 100. Let r(z) = -7*z**2 + 129*z - 150. Let w(f) = -8*b(f) - 5*r(f). Factor w(d).
-5*(d - 5)*(d - 2)
Let o = 771 + -769. Solve -1/6*i**3 - 1/2*i**o + 1/2*i**4 + 0 + 1/6*i = 0 for i.
-1, 0, 1/3, 1
Let c(b) be the second derivative of 11*b + 1/3*b**3 + 1/21*b**7 + b**4 - 3*b**2 - 1/5*b**6 + 0 - 1/5*b**5. What is y in c(y) = 0?
-1, 1, 3
Solve 4*r**4 - 96*r - 6*r**2 - 10*r**2 + 8*r**3 - 15*r**3 + 31*r**3 = 0 for r.
-6, -2, 0, 2
Let c(d) be the second derivative of 5*d**7/42 + d**6/2 + 3*d**5/4 + 5*d**4/12 - 235*d. Factor c(o).
5*o**2*(o + 1)**3
Factor -4/11 + 4/11*t**2 + 2/11*t - 2/11*t**3.
-2*(t - 2)*(t - 1)*(t + 1)/11
Suppose -5*n - 52 = -18*n. Suppose -4*j = -2*j + 4*s + 12, n*j = -4*s - 12. Let j*x**2 + 0 + 1/3*x**3 - 1/3*x = 0. What is x?
-1, 0, 1
Suppose -40 = -8*a + 3*a. Suppose 0 = 2*n - 0*n - a. Solve 4 - n*b**2 - 2 - 8*b - 2 = 0 for b.
-2, 0
Let p = 463/3924 + -3/436. Let l(o) be the first derivative of 7 - 1/3*o + p*o**3 + 0*o**2. Solve l(a) = 0 for a.
-1, 1
Suppose -3*i + s = -51, -5*i - 5*s + 49 + 16 = 0. Factor 29*k**2 - 13*k - 31*k + 7*k**2 + i - 4*k**4 - 4*k**3.
-4*(k - 1)**3*(k + 4)
Let m(i) be the third derivative of -1/12*i**4 - 1/420*i**7 - 37*i**2 + 1/60*i**6 + 1/4*i**3 - 1/60*i**5 - i + 0. Factor m(z).
-(z - 3)*(z - 1)**2*(z + 1)/2
Factor -u**3 + 3*u + 1807*u**2 - 13*u + 0*u - 4*u**3 - 1822*u**2.
-5*u*(u + 1)*(u + 2)
Solve 12*n - 3/4*n**2 - 21 = 0.
2, 14
Suppose -13*g + 39 = -39. Let u(v) = v + 12. Let w be u(-6). Solve 9*a**2 - w*a**3 + 3/2 + 3/2*a**4 - g*a = 0.
1
Suppose 15/2*v**3 + 3/2*v + 2*v**4 + 8*v**2 - 1 = 0. What is v?
-2, -1, 1/4
Let x = 2201/1300 + -144/325. Factor 5/4 - 5/2*p**3 + 5/4*p**5 + 5/4*p + x*p**4 - 5/2*p**2.
5*(p - 1)**2*(p + 1)**3/4
Suppose -3*n = 9, 4*b - b = n + 9. Suppose -4*p = -3*g - 0 + 4, b*p - 4*g = -12. Factor 8/5 + 8/5*h**p + 4*h.
4*(h + 2)*(2*h + 1)/5
Solve 4*i**2 + 1244*i + 1197*i - 2377*i = 0.
-16, 0
Let p be 5 - (12 + 33/(-3)). Let r(m) be the first derivative of 1/6*m**6 - p + 0*m + 4/5*m**5 + 4/3*m**3 + 1/2*m**2 + 3/2*m**4. Let r(c) = 0. What is c?
-1, 0
Let c(p) be the second derivative of 19/4*p**4 - 13/2*p**3 + 9/2*p**2 + 1/5*p**6 + 17*p - 33/20*p**5 + 0. Let c(k) = 0. Calculate k.
1/2, 1, 3
Let v(g) = 88 + 80 + 89 - 258. Let w(d) = -2*d**2 + 2*d - 3. Let f(h) = -h**2 + h. Let z(n) = f(n) - w(n). Let p(m) = 3*v(m) + z(m). Factor p(y).
y*(y - 1)
Factor 1/5*h**4 + 0 - 8/5*h + 2/5*h**2 + h**3.
h*(h - 1)*(h + 2)*(h + 4)/5
Let i be 4126/(-10)*(-450)/120. Let m = i - 1517. Factor -1 - m*f**2 + 11*f.
-(11*f - 2)**2/4
Suppose -8*p = 3417 - 857. Let z = 1608/5 + p. Find n such that 12/5*n**2 - z*n + 2/5 - 8/5*n**3 + 2/5*n**4 = 0.
1
Determine y, given that 3*y**2 + 3/5*y**3 + 48/5 - 66/5*y = 0.
-8, 1, 2
Let u(l) be the second derivative of 2*l**7/21 - 4*l**6/15 + 2*l**4/3 - 2*l**3/3 - 19*l - 4. Suppose u(x) = 0. Calculate x.
-1, 0, 1
Let p(z) be the first derivative of -3*z**5/20 - 3*z**4/8 + z**3/4 + 3*z**2/4 + 88. Factor p(u).
-3*u*(u - 1)*(u + 1)*(u + 2)/4
Let t(q) be the first derivative of -q**5 + 3*q**4/4 + 2*q**3/3 - 73. Solve t(v) = 0 for v.
-2/5, 0, 1
Let t be (-40)/(-140) - (-19)/7. Suppose 3*d**t + 13*d - 12*d**2 - 8*d**5 + 4*d**5 + 12*d**4 - 7*d**3 - 5*d = 0. Calculate d.
-1, 0, 1, 2
Let r(q) be the third derivative of -7*q**6/24 - 5*q**5/6 + 65*q**4/8 + 15*q**3 - 87*q**2. Find o, given that r(o) = 0.
-3, -3/7, 2
Let a(y) be the first derivative of 2/9*y**3 - 8/3*y + 0*y**2 + 11. Solve a(q) = 0.
-2, 2
Let v(f) be the third derivative of f**6/420 - 2*f**5/105 - f**4/84 + 4*f**3/21 + 4*f**2 - f. Factor v(k).
2*(k - 4)*(k - 1)*(k + 1)/7
Let w = 4748 - 4748. Find t, given that 1/6*t**3 - 1/6*t**2 + w*t + 0 = 0.
0, 1
Let m(p) be the first derivative of 7*p**6/360 - p**5/60 + 25*p**3/3 + 40. Let c(o) be the third derivative of m(o). Let c(z) = 0. Calculate z.
0, 2/7
Let b(i) be the third derivative of 0*i - 1/12*i**6 + 0*i**4 + 2*i**2 + 1/15*i**5 + 0 - 1/15*i**7 + 0*i**3. What is t in b(t) = 0?
-1, 0, 2/7
Factor -44*v**2 + 17*v + 4*v**4 - 2380 + 2380 + 16*v**3 + 7*v.
4*v*(v - 1)**2*(v + 6)
Let o(s) = -s**3 - 3*s**2 - 21*s - 13. Let t be (8/(-6))/(17/(-102)). Let i(h) = 2*h**3 + 10*h**2 + 62*h + 38. Let p(c) = t*o(c) + 3*i(c). Factor p(f).
-2*(f - 5)*(f + 1)**2
Let d(f) be the third derivative of -7*f**6/60 - 4*f**5/3 - 23*f**4/12 + 10*f**3/3 + f**2 - 27. Suppose d(s) = 0. What is s?
-5, -1, 2/7
Let t(x) = -3*x. Let c(u) = -u**2 - u + 21. Let i(j) = c(j) + t(j). Determine r, given that i(r) = 0.
-7, 3
Let j(d) = d**4 + 6*d**3 - 14*d**2 - 2*d. Let k(m) = 35*m**3 + 0*m**3 - 10*m + 7*m**4 - 3*m + 0*m - 83*m**2. Let r(b) = -39*j(b) + 6*k(b). Solve r(q) = 0 for q.
0, 4
Let j be 96/240 + 1/(-5). Factor 0*s - j*s**4 + 0*s**2 + 0 + 1/5*s**3.
-s**3*(s - 1)/5
Let h(c) = -4*c + 88. Let v be h(17). Suppose -19*i + v*i = 3. Factor 3/5*u**5 + 0*u**2 + 0*u + 0*u**i + 0 - 3/5*u**4.
3*u**4*(u - 1)/5
Suppose 2*x = g - 5, 1345*x - 10 = -3*g + 1346*x. Suppose -6/13 - 50/13*u - 32/13*u**g - 112/13*u**2 = 0. What is u?
-3, -1/4
Let h be 1*0/(12/(-3)). Let -2/3*m**3 + h + 0*m**2 + 2/3*m**4 + 0*m = 0. What is m?
0, 1
Let b be (-24)/((-1482)/1144 - 3/(-2)). Let t = b + 118. Solve -16/15 + 12/5*i**2 - t*i**3 - 16/15*i**4 + 2/5*i**5 + 8/15*i = 0.
-1, 2/3, 2
Let n(t) be the second derivative of -t**9/7560 + t**8/4200 + t**7/1050 - t**3/6 - 3*t. Let f(l) be the second derivative of n(l). Let f(s) = 0. What is s?
-1, 0, 2
Let i(d) = -35*d**3 + 120*d**2 - 615*d - 1690. Let y(s) = -s**3 - s. Let a(v) = i(v) - 30*y(v). Find k, given that a(k) = 0.
-2, 13
Let q = -39 + 36. Let s(z) = 3*z - z**2 + 1 + 2*z - 3*z - 2*z**3. Let p(r) = 2*r**3 - 2*r. Let x(t) = q*p(t) - 2*s(t). Factor x(f).
-2*(f - 1)**2*(f + 1)
Suppose -c - 8 = -2*v, -3*v = -4*c + 2*c - 12. Suppose c = -4*r - 3 + 63. Suppose -3*k**4 + k - 5*k**3 - 3*k - 26*k**3 + 0*k + r*k**2 + 45*k**5 = 0. What is k?
-1, 0, 1/3, 2/5
Let y(n) = 6*n**5 - 3*n**5 - 4*n**5. Let x(g) = -3*g**5 + 2*g**4 - 2*g**2 + g. Let q(m) = -2*x(m) + 4*y(m). Factor q(j).
2*j*(j - 1)**3*(j + 1)
Let g = 880/353 + 5/706. Factor -5/4*u**2 + 15/4*u - g.
-5*(u - 2)*(u - 1)/4
Let f be -4*(9 - (-273)/(-28)). Let k(d) be the second derivative of 0*d**f + 0*d**2 - 1/20*d**5 + 0 + 7*d + 1/12*d**4. Factor k(w).
-w**2*(w - 1)
Let r(t) be the second derivative of 1/3*t**2 + 1/30*t**5 - 10*t - 1/18*t**4 + 0 - 1/9*t**3. Suppose r(j) = 0. Calculate j.
-1, 1
Let d = -7637 + 7642. Factor 0*z + 16/13*z**2 + 24/13*z**3 + 12/13*z**4 + 2/13*z**d + 0.
2*z**2*(z + 2)**3/13
Let x(s) be th