8 + -11. Let q(o) = o**3 + o**2 - o + 1. Let d(n) = -4*n**3 - 5*n**2 + 2*n - 3. Let w(t) = h*q(t) - d(t). Solve w(y) = 0.
-1, 0
Let h(c) = 5*c**2 + 3*c - 3. Let q(z) = 14*z**2 + 8*z - 8. Let i(o) = -8*h(o) + 3*q(o). Suppose i(k) = 0. Calculate k.
0
Let k**4 - 5*k**4 + 4*k**5 - 3*k**5 + 3*k**5 = 0. What is k?
0, 1
Let t(p) = -3*p + 7. Let a(j) = j - 2. Let h(c) = -7*a(c) - 2*t(c). Let v be h(0). Find z, given that 6*z**4 - 9/2*z**3 + 0 + v*z - 3/2*z**2 = 0.
-1/4, 0, 1
Let f(g) = -g**2 - 24*g - 19. Let o = -21 - -33. Let j(l) = 10 + o*l + 0*l**2 + 0 + l**2. Let u(w) = -2*f(w) - 5*j(w). Factor u(p).
-3*(p + 2)**2
Let d(s) be the second derivative of -8*s**2 - 2*s**5 - 2*s - 40/3*s**3 - 29/3*s**4 + 0. Determine x, given that d(x) = 0.
-2, -1/2, -2/5
Let h(u) be the second derivative of u**6/420 + u**5/105 + u**4/84 + 2*u**2 - 5*u. Let n(c) be the first derivative of h(c). Determine z so that n(z) = 0.
-1, 0
Suppose -4*h + 8*h = 308. Find l, given that -3*l + 77 - h + 6*l**2 = 0.
0, 1/2
Let v be (0 - (-5)/10)*6. Factor -2/3*d + 0 + 2/3*d**v + 0*d**2.
2*d*(d - 1)*(d + 1)/3
Suppose 2*s = d - s - 3, 0 = -d - 2*s - 2. Solve d - 2/3*j + 2/3*j**2 = 0 for j.
0, 1
Let q(a) = 8*a**3 + 17*a**2. Let c(l) = -3*l**3 - 6*l**2. Let g(v) = -11*c(v) - 4*q(v). Factor g(r).
r**2*(r - 2)
Let v(l) = 3 + 65*l - 67*l + 13. Let s be v(8). Solve s*x**2 + 0 + 0*x - 2/7*x**3 + 2/7*x**4 = 0 for x.
0, 1
Suppose 20 = 4*i - 0*w + 4*w, -10 = -2*i - 3*w. Let f(u) = u**2. Let x(n) = -26*n**2 - 27*n - 6. Let q(r) = i*f(r) + x(r). Factor q(o).
-3*(o + 1)*(7*o + 2)
Let z(q) be the first derivative of q**6/39 + 12*q**5/65 + 7*q**4/13 + 32*q**3/39 + 9*q**2/13 + 4*q/13 - 9. Factor z(o).
2*(o + 1)**4*(o + 2)/13
Let n(z) = z**4 - 3*z**3 - z**2 - 5*z - 4. Let b(q) = q**2 + q + 1. Let v(j) = -4*b(j) - n(j). Factor v(p).
-p*(p - 1)**3
Let m be (-92)/(-126) + 20/(-70). Factor 2/9*o**4 + 2/9 - 2/9*o**5 + m*o**3 - 4/9*o**2 - 2/9*o.
-2*(o - 1)**3*(o + 1)**2/9
Let t(x) be the second derivative of x**5/5 + 7*x**4 + 98*x**3 + 686*x**2 + 18*x. Find u such that t(u) = 0.
-7
Let x(i) be the first derivative of 1/6*i**3 + 0*i + 0*i**2 - 1/8*i**4 - 1. Factor x(j).
-j**2*(j - 1)/2
Let l be (34/(-30) - -1)/((-4)/6). Let b(o) be the third derivative of 0 + o**2 - l*o**5 - 1/60*o**6 + 0*o - o**4 - 8/3*o**3. Suppose b(c) = 0. Calculate c.
-2
Let b = -58 - -119/2. Factor 1/2*q**5 + q**2 - 3/2*q - b*q**4 + q**3 + 1/2.
(q - 1)**4*(q + 1)/2
Let t(l) be the first derivative of -l**8/336 + l**7/70 - l**6/40 + l**5/60 - l**3/3 + 3. Let o(x) be the third derivative of t(x). Factor o(p).
-p*(p - 1)**2*(5*p - 2)
Let v(y) be the second derivative of -1/5*y**5 - 1/3*y**4 - y - 1/21*y**7 + 1/5*y**6 + 0 - y**2 + y**3. Factor v(s).
-2*(s - 1)**4*(s + 1)
Let q(v) be the third derivative of -v**10/453600 + v**9/181440 - v**5/15 - 2*v**2. Let y(s) be the third derivative of q(s). Factor y(x).
-x**3*(x - 1)/3
Let s(l) be the third derivative of 1/1050*l**7 + 0*l - 1/300*l**5 + 0*l**3 + 1/120*l**4 + l**2 + 0 - 1/600*l**6. Factor s(i).
i*(i - 1)**2*(i + 1)/5
Find b such that 16*b - 112/3*b**3 + 4*b**2 - 16/3 + 16*b**4 = 0.
-2/3, 1/2, 2
Let x be 10/(-14) + 10/(-35). Let v be x/(-1*(-2)/(-4)). Factor -7 - v*o + o**2 + 0*o**2 + 8.
(o - 1)**2
Let a(c) be the second derivative of -c**7/420 - c**6/180 + c**4/6 + 2*c. Let g(j) be the third derivative of a(j). Factor g(w).
-2*w*(3*w + 2)
Let g(f) be the first derivative of -6*f**5/5 + f**4 + 6*f**3 - 8*f + 25. Let g(w) = 0. Calculate w.
-1, 2/3, 2
Find s, given that -7/2*s**3 + 9*s - 15/2*s**2 + 1/2*s**5 + 0 + 3/2*s**4 = 0.
-3, 0, 1, 2
Let t = 10 + -5. Let m = 9 - t. Let a**3 + 0*a + 1/2*a**2 + 0 + 1/2*a**m = 0. Calculate a.
-1, 0
Suppose m - 17 = -5*r, 0 = -2*r - r - 3*m + 15. Let h(y) be the second derivative of -y + 4/15*y**6 + 0 + 0*y**2 - 1/6*y**5 - 1/9*y**4 + 0*y**r. Solve h(x) = 0.
-1/4, 0, 2/3
Let -1/2*m**5 + m**4 + m**3 + 1 - 1/2*m - 2*m**2 = 0. What is m?
-1, 1, 2
Let k(l) be the third derivative of 1/52*l**4 - 1/1365*l**7 - 1/390*l**5 - 2*l**2 + 0 - 1/260*l**6 + 0*l + 2/39*l**3. Find b, given that k(b) = 0.
-2, -1, 1
Let z(k) be the third derivative of -k**6/540 - 17*k**5/270 - 7*k**4/12 + 3*k**3 - 23*k**2. Factor z(n).
-2*(n - 1)*(n + 9)**2/9
Let c(m) be the third derivative of -m**8/8400 + m**7/840 - m**6/225 + m**5/150 - 5*m**3/6 - 4*m**2. Let h(b) be the first derivative of c(b). Factor h(i).
-i*(i - 2)**2*(i - 1)/5
Suppose 3*t + 88 = 7*t. Let r = -22 + t. Determine s, given that 2/11*s**3 + r - 2/11*s**5 + 0*s**2 + 0*s + 0*s**4 = 0.
-1, 0, 1
Suppose -3*w - 5*h = -16, -5*h = 3 + 2. Let x = -5 + w. Suppose d**3 + 3*d**3 + 0*d**2 + x*d**2 + 2*d**4 = 0. Calculate d.
-1, 0
Suppose -25*w - 21*w + 92 = 0. Let -2/5*v**w + 1/5*v + 2/5 - 1/5*v**3 = 0. Calculate v.
-2, -1, 1
Let t(o) = -7*o**2 + 32*o - 7. Let b(a) = 34*a**2 - 161*a + 34. Let j(s) = -2*b(s) - 11*t(s). What is z in j(z) = 0?
1/3, 3
Let p = 115/78 - -1/39. Determine a so that p*a**2 + 3/2*a + 1/2*a**3 + 1/2 = 0.
-1
Let b(p) = p**3 - 6*p**2 + 2*p - 7. Let n be b(6). Suppose n*w - 6 = 2*w. Solve 2*o - o**2 - 2 + w*o**2 + 0*o - 3*o = 0 for o.
-1, 2
Let r be (2 + 38/(-20))/((-48)/(-120)). What is g in 0*g + 0 + r*g**2 = 0?
0
What is y in 1 + 1/4*y**2 - y = 0?
2
Let p = -229/7 - -33. Factor 2/7*q**2 - 4/7 - p*q.
2*(q - 2)*(q + 1)/7
Let o(j) be the third derivative of -j**7/105 + j**5/30 - j**2. Determine r, given that o(r) = 0.
-1, 0, 1
Let x(z) be the second derivative of 1/16*z**4 + 0*z**2 + 0 - 1/80*z**5 - 1/12*z**3 - 4*z. Let x(g) = 0. Calculate g.
0, 1, 2
Let m(z) be the second derivative of z**4/6 - 2*z**3/3 - 3*z**2 - z. Find h, given that m(h) = 0.
-1, 3
Let s(r) be the first derivative of -r**3 - 3*r**2 + 0*r**2 - 3*r**2 - 12*r - 1. Factor s(h).
-3*(h + 2)**2
Let n(d) be the second derivative of d**7/315 - d**5/45 + d**3/9 + 3*d**2/2 + 2*d. Let x(q) be the first derivative of n(q). Factor x(s).
2*(s - 1)**2*(s + 1)**2/3
Solve 3*x**5 + 116*x**3 + 50 - x**5 + 26*x**4 + 170*x + 0*x**5 + 326*x**2 - 114*x**2 = 0 for x.
-5, -1
Suppose -1/4*l**2 + 3/4*l - 3/4*l**3 + 1/2 - 1/4*l**4 = 0. What is l?
-2, -1, 1
Solve -25*c**4 + 28*c**2 - 3*c**5 - c**2 + 10*c**4 - 9*c**3 = 0.
-3, 0, 1
Let d(z) = -z**5 + z**4 - z**3 + z**2 - z. Let m(c) = -6*c**5 - 34*c**4 - 6*c**3 + 6*c**2 + 14*c. Let u(f) = -6*d(f) - m(f). Factor u(k).
4*k*(k + 1)**3*(3*k - 2)
Factor 0 - 4/5*k + 6/5*k**2 - 2/5*k**3.
-2*k*(k - 2)*(k - 1)/5
Suppose -3*o + 23 + 2 = -2*m, 2*m + 15 = o. Suppose o*w - 10 = -0. Solve -8/5 + 16/5*x - w*x**2 + 2/5*x**3 = 0.
1, 2
Suppose -3*t = -2*f - 8, 14 = -3*f - 3*t + 8*t. Suppose -3 = f*c - 5*u, 3*c - 4 - 2 = -3*u. Factor -c - 2*x + x**2 + 1 + x.
x*(x - 1)
Let k(q) = 7*q**2 + 87*q - 37. Let x(n) = -3*n**2 - 43*n + 19. Let s(a) = 3*k(a) + 5*x(a). Factor s(o).
2*(o + 8)*(3*o - 1)
Determine d, given that 291*d**2 + 6*d**4 - 3*d**5 - 3*d**3 - 291*d**2 = 0.
0, 1
Factor -3*z**2 - 8 + 0*z**2 + 3*z**3 + 8.
3*z**2*(z - 1)
Solve -2/9 - 8*p**2 + 8/3*p = 0.
1/6
Suppose 3*w = 5*u + 19, w + 4 = -3*u + 1. Factor -4/5*q**w + 4/5*q - 2/5*q**4 + 0*q**2 + 2/5.
-2*(q - 1)*(q + 1)**3/5
Let y(m) = 2*m**2 - 4*m - 2. Let f be y(4). Let p be -1 + 1 + 7/f. Factor 0*i + p*i**3 + 0 + 0*i**2 + 1/2*i**5 + i**4.
i**3*(i + 1)**2/2
Factor -4/7*g - 8/7 + 4/7*g**2.
4*(g - 2)*(g + 1)/7
Let b(h) = 15*h**2 - 20*h + 5. Let y = -9 + 3. Let w(s) = 8*s**2 - 10*s + 2. Let g(p) = y*b(p) + 13*w(p). Determine q, given that g(q) = 0.
-2/7, 1
Let 6/5*g + 0 + 3/5*g**3 - 9/5*g**2 = 0. What is g?
0, 1, 2
Let n(j) be the second derivative of -4*j**7/21 + 2*j**6/5 + j**5/5 - j**4 + 2*j**3/3 + j. Determine z so that n(z) = 0.
-1, 0, 1/2, 1
Let y(q) be the third derivative of -q**7/15 + q**6/30 + 7*q**5/30 - q**4/6 - 10*q**2. Factor y(j).
-2*j*(j - 1)*(j + 1)*(7*j - 2)
Let i(j) = -j - 5. Let z be i(0). Let u be -2*(-1)/(-2)*z. Factor m**5 - 3*m**4 - m**3 - 5*m**u + 3*m**5 + m**4.
-m**3*(m + 1)**2
Let f = 20 - 7. Let g be f/18 + (-4)/18. What is v in 2*v**2 + g*v**5 + 0 + 1/2*v + 3*v**3 + 2*v**4 = 0?
-1, 0
Let g(q) = 3*q**2 - 29*q - 41. Let w be g(11). Factor 0*x**2 - 2/7*x**4 - 4/7*x**w + 2/7 + 4/7*x.
-2*(x - 1)*(x + 1)**3/7
Let a(f) = 2*f**3 + 5*f**2 - 11*f + 14. Let w(b) = -b**3 - 2*b**2 + 5*b - 6. Let t(q) = 6*a(q) + 14*w(q). Factor t(m).
-2*m*(m - 2)*(m + 1)
Let r(j) be the th