3 + 2/5*q**4 + 2/5*q**5. Let j(l) = 0. What is l?
-1, -1/2, 0
Solve 6/7*l**4 - 2/7*l**2 - 4/7*l**5 + 0*l + 0 + 0*l**3 = 0.
-1/2, 0, 1
Let y(a) = -6*a**2 + 15*a - 4. Let x(o) = -16*o**2 - 6*o**2 + 44*o - 12 + 4*o**2. Let v(f) = 5*x(f) - 14*y(f). Determine t, given that v(t) = 0.
2/3, 1
Let p = -215 + 215. Solve 2/13*a - 2/13*a**3 - 2/13*a**4 + p + 2/13*a**2 = 0 for a.
-1, 0, 1
Suppose -12 + 0 = 3*z, 2*g - 3*z = 18. Let l = 2/9 - -4/63. Factor 0 + 0*v**2 + l*v - 2/7*v**g.
-2*v*(v - 1)*(v + 1)/7
Let t(d) be the first derivative of 0*d**5 + 0*d + 1/3*d**6 + d**2 - d**4 + 0*d**3 + 6. Factor t(g).
2*g*(g - 1)**2*(g + 1)**2
Factor 3*u**3 - 3/2*u**2 + 0 - 3/2*u**4 + 0*u.
-3*u**2*(u - 1)**2/2
Let -138/11*a - 12/11 + 384/11*a**5 - 498/11*a**2 + 672/11*a**4 - 408/11*a**3 = 0. Calculate a.
-2, -1/4, 1
Let j(t) be the second derivative of -2*t**7/63 - 8*t**6/45 - 2*t**5/5 - 4*t**4/9 - 2*t**3/9 - 3*t. Find p such that j(p) = 0.
-1, 0
Let q(m) be the second derivative of -4*m - 1/40*m**5 + 1/8*m**4 + 0*m**2 - 1/6*m**3 + 0. Determine p, given that q(p) = 0.
0, 1, 2
Let v(d) be the second derivative of d**7/21 - 2*d**6/15 + d**4/3 - d**3/3 + 30*d. What is q in v(q) = 0?
-1, 0, 1
Suppose 3*o - 2*n = 22, 0*o - 5*o + 2*n = -30. Suppose -o*v - 3 + 11 = 0. Determine i so that -4*i**v + 6*i**2 - i**3 - 3*i**2 = 0.
-1, 0
Suppose -2*q = -m + 8, -m + q = -0*m - 6. Suppose 2*t - b - 7 = 0, -7 = m*t - 5*b - 30. Let 2*o - 1/2*o**2 - t = 0. Calculate o.
2
Factor 0*f - 3/7*f**4 + 0 + 0*f**2 + 3/7*f**3.
-3*f**3*(f - 1)/7
Let g(a) = -20*a**5 - 18*a**4 - 16*a**3 + 18*a**2. Let z(i) = -i**5 - i**4 - i**3 + i**2. Let y(k) = -2*g(k) + 36*z(k). Factor y(f).
4*f**3*(f - 1)*(f + 1)
Let l(x) be the second derivative of -1/168*x**7 + 0*x**3 + 0*x**2 - 2*x + 0 - 1/48*x**4 + 1/80*x**5 + 1/120*x**6. What is d in l(d) = 0?
-1, 0, 1
Determine m, given that -9*m**2 + 1 - 5*m - m - 1 - 3*m**3 = 0.
-2, -1, 0
Let n(w) = -w**5 - 2*w**2 - w + 4. Let c(u) = 2*u**5 + u**4 + u**3 + 3*u**2 + 2*u - 9. Let f(m) = 2*c(m) + 5*n(m). Solve f(j) = 0 for j.
-1, 1, 2
Let z be 65/170 + 2/17. Let u be 0/((-2 - -1) + 3). Factor z*g**4 + 3/2*g**2 + u + 1/2*g + 3/2*g**3.
g*(g + 1)**3/2
Suppose 0 = 4*s - k - 12, 5*k = 4*k. Factor 0 + 2/3*r**2 + 2/9*r**4 - 2/9*r - 2/3*r**s.
2*r*(r - 1)**3/9
Let y(f) = f**2 + 3*f + 2. Let c be y(-3). Let p = c - 2. What is r in 1/3*r**4 + p*r**2 - 1/3 + 2/3*r - 2/3*r**3 = 0?
-1, 1
Let y = -68037 + 13675583/201. Let s = y + -4/67. Solve 0 + s*g**2 + 1/3*g + 1/3*g**3 = 0.
-1, 0
Let h(p) be the first derivative of 9*p**5/5 - 3*p**4/2 - 12*p**3 + 12*p**2 + 29. Factor h(a).
3*a*(a - 2)*(a + 2)*(3*a - 2)
Let g = 1/38 + 9/19. Solve -g*b**3 + 1 - 21/4*b**2 + 7/4*b**4 - 2*b = 0.
-1, 2/7, 2
Let d(c) = c + 8. Suppose 4 = -0*g + g - 3*w, 2*w = -2*g - 16. Let z be d(g). Let 3*s**2 + 6*s + 1 + 2 - z*s + 3*s = 0. Calculate s.
-1
Let z(s) = -s. Let r be z(-2). Let a be (-198)/12*r/3. Let u(h) = 5*h**2 - 6*h. Let k(b) = 3*b**2 - 3*b. Let c(p) = a*k(p) + 6*u(p). Let c(j) = 0. Calculate j.
-1, 0
Let b(v) be the second derivative of v**7/189 - 4*v**6/135 + v**5/18 - v**4/27 - 5*v. Factor b(s).
2*s**2*(s - 2)*(s - 1)**2/9
Let t(y) = 11*y**2 - 12*y + 11. Let l(r) = 2*r**2 - 2*r + 2. Let p(k) = 34*l(k) - 6*t(k). Factor p(b).
2*(b + 1)**2
Let i = 901/12 - 75. Let s(z) be the first derivative of 0*z - 2 - i*z**4 + 2/9*z**3 - 1/6*z**2. Factor s(n).
-n*(n - 1)**2/3
Let h be ((-6)/(-16))/(-1) - (-147)/72. Factor h*p**3 + 25/3*p**4 + 4/3*p - 16/3*p**2 + 0.
p*(p + 1)*(5*p - 2)**2/3
Suppose n - 6 = -4*j, -9 = -j - n - 3*n. Suppose p + 1 = -j. Let v(l) = l - 1. Let b(k) = -6*k**2 + 2*k + 4. Let h(y) = p*v(y) - b(y). Factor h(z).
2*(z - 1)*(3*z + 1)
Solve 0 + 2/15*y**4 + 0*y**2 + 0*y - 4/15*y**3 = 0 for y.
0, 2
Let f(l) be the first derivative of 2*l**3/3 + 2*l**2 + 2*l - 6. Factor f(i).
2*(i + 1)**2
Let h be -3*(-1)/((-6)/(-10)). Let x = h - 1. What is i in -2/7*i - 6/7*i**3 - 2/7*i**x - 6/7*i**2 + 0 = 0?
-1, 0
Let h be 4/(3 - 44/20). Let q be h + -9 - 62/(-5). Solve -48/5*m**2 + 0 - 8/5*m + 98/5*m**4 - q*m**3 = 0 for m.
-2/7, 0, 1
Suppose 5*s = w + 10, 0 = 4*s - 3*s - 2*w + 7. Factor 6*k**2 + 5*k - 2*k - s*k**2.
3*k*(k + 1)
Let n(a) be the third derivative of 4*a**2 + 0*a + 0*a**3 - 1/15*a**5 + 1/12*a**4 + 1/60*a**6 + 0. Factor n(f).
2*f*(f - 1)**2
Factor -2*c**4 - 16 - 20*c**2 - 16*c**2 + 39*c + c + 14*c**3.
-2*(c - 2)**3*(c - 1)
Factor 63/2*h - 147/8*h**2 - 27/2.
-3*(7*h - 6)**2/8
Let p(l) be the second derivative of 3*l + 1/5*l**2 + 1/5*l**3 + 0 - 1/105*l**7 + 1/15*l**4 - 1/25*l**5 - 1/25*l**6. Factor p(x).
-2*(x - 1)*(x + 1)**4/5
Suppose 0 = -y - f + 8, 0 = 4*y - 3*y - 3*f + 12. Suppose -l - 15 = -6*l. Determine j, given that 6*j**3 - 2*j + 2*j**2 - 2*j**3 - 2 - l*j**3 + j**y = 0.
-1, 1
Let b(p) be the first derivative of -1/3*p**4 + 0*p + 2 + 4/9*p**3 + 0*p**2 + 1/15*p**5. Factor b(r).
r**2*(r - 2)**2/3
Let m(k) = -3*k**2 + 133*k - 512. Let a(y) = -y**2 + 67*y - 256. Let b(x) = -5*a(x) + 3*m(x). Suppose b(g) = 0. What is g?
8
Suppose 2*w = 4*u - 4578, 0*w = -u + 5*w + 1122. Let t = -8003/7 + u. Let -24/7*c + 2/7*c**4 + 8/7 + t*c**2 - 12/7*c**3 = 0. What is c?
1, 2
Let q(j) = -j**4 - j**3 - j**2. Let t be 4 + -1 - (2 - 2). Let g(v) = -4*v**2 - 2*v**3 + 9*v**2 + 4*v**3 + 2*v**4. Let r(a) = t*q(a) + g(a). Factor r(l).
-l**2*(l - 1)*(l + 2)
Let m = -1 - -2. Let s be 2 + 1 + (m - 0). Suppose 12*u - s - 4*u**2 - 5*u**2 + 0*u = 0. Calculate u.
2/3
Let w(i) = 8*i**3 - 2*i**2 - 4*i. Let y be w(-3). Let n = y - -2000/9. Solve -2/9*m**3 + n*m + 2/9*m**2 - 2/9 = 0.
-1, 1
Let y(f) = 3*f**4 - 11*f**3 + 2*f**2 + 6*f. Let w(a) = a**4 - 5*a**3 + a**2 + 3*a. Let h(b) = -5*w(b) + 2*y(b). Let h(x) = 0. Calculate x.
-3, -1, 0, 1
Suppose -8*d = -12*d + 8. Let u(q) be the second derivative of -2*q - 3/8*q**d - 3/16*q**4 + 3/8*q**3 + 0 + 3/80*q**5. Factor u(s).
3*(s - 1)**3/4
Let w be ((-3)/(-36))/(3/(-135)*-5). Factor 0 - w*m**4 - 6*m**2 + 3*m + 15/4*m**3.
-3*m*(m - 2)**2*(m - 1)/4
Determine x so that -3/2 - 18*x**3 + 9*x - 15/2*x**2 = 0.
-1, 1/4, 1/3
Let l(v) be the second derivative of v**5/10 - v**4/2 - v**3/3 + 3*v**2 - 5*v. Suppose l(n) = 0. What is n?
-1, 1, 3
Let l(x) = x**2 + 1. Let r(f) be the first derivative of -f**5/5 - 3*f**4/4 + 7*f**3/3 + 7*f - 4. Let v(q) = 14*l(q) - 2*r(q). Factor v(b).
2*b**3*(b + 3)
Let w(l) be the second derivative of -l**6/15 + 11*l**5/20 - l**3 + l**2 - 2*l. Let f(t) = -t**4 + 10*t**3 - 6*t + 1. Let u(d) = 5*f(d) - 4*w(d). Factor u(q).
3*(q - 1)*(q + 1)**3
Factor 17 + 30 - 45*t - 7 + 5*t**2.
5*(t - 8)*(t - 1)
Let o(r) be the third derivative of -r**6/24 - r**5/3 - 25*r**4/24 - 5*r**3/3 + 23*r**2. Solve o(c) = 0 for c.
-2, -1
Let u(c) = -3*c**5 + c**4 + 9*c**3 + 5. Let z(h) = -h**5 + h**4 + 4*h**3 + 2. Let g(k) = 2*u(k) - 5*z(k). Determine a so that g(a) = 0.
-2, -1, 0
Let o = -6 + 8. Let j = 201/4 - 50. Factor -1/4*a**o + 0 + 0*a - 1/4*a**3 + j*a**4 + 1/4*a**5.
a**2*(a - 1)*(a + 1)**2/4
Let m be 11/(-22)*2/(-4). Let z = 7/26 + 3/13. Factor -z*d**2 - 1/4*d**3 - m*d + 0.
-d*(d + 1)**2/4
Let b(i) = 5*i**3 + 16*i**2 - 25*i. Let d = -31 + 35. Let y(f) = -2*f**3 - 8*f**2 + 12*f. Let g = -10 - -19. Let z(c) = d*b(c) + g*y(c). Factor z(v).
2*v*(v - 2)**2
Let t(w) = 3*w + 26. Let i be t(-7). Let u(v) be the first derivative of 8/35*v**i + 0*v - 1/21*v**6 - 2 - 1/7*v**2 - 3/7*v**4 + 8/21*v**3. Factor u(r).
-2*r*(r - 1)**4/7
Let b be 17512/(-45) - 12/(-20). Let u = b - -389. Determine y so that u*y - 2/9 - 2/9*y**2 = 0.
1
Let l(j) be the first derivative of -j**6/27 + 2*j**5/9 - 7*j**4/18 + 2*j**3/9 + 1. Factor l(u).
-2*u**2*(u - 3)*(u - 1)**2/9
Let a(r) be the first derivative of r**6/420 + r**5/105 - r**2/2 - 5. Let x(f) be the second derivative of a(f). Factor x(y).
2*y**2*(y + 2)/7
Suppose 3*r = 8*g - 3*g - 69, 66 = 5*g - 2*r. Suppose -5*y + g = -2*y. Determine v so that 2 - 2*v**2 + 0*v**2 - y*v - 3 - 1 = 0.
-1
Let w(i) be the third derivative of -i**7/105 + i**6/15 - 2*i**5/15 + 9*i**2. Determine t so that w(t) = 0.
0, 2
Let k(d) = -d + 4. Let s be k(-6). Suppose 10 = -4*i + 2*f, -2*i = -2*f - 0*f + s. Factor -3/2*b**4 + i + 0*b - b**2 + 5/2*b**3.
-b**2*(b - 1)*(3*b - 2)/2
Let h(d) = -d**4 + d**3 - d**2 - d. Suppose 3 = -2*m + 1. Let k(j) = -4*j**4 - 2*j**3 - 4*j**2 - 2*j. Let u(q) = m*k(q) +