 + 1. Let d be z(-1). Suppose 4*o - 10 = 5*v, d = -0*o - 2*o - v + 12. What is f in -4*f**4 + 3*f**4 - 4*f**5 + 3*f**o = 0?
-1, 0
Let z = 1 - 1. Let v = -871/9 + 97. Factor 2/9*d**2 + 0 + z*d + v*d**3.
2*d**2*(d + 1)/9
Let i(r) = r**4 - r**3 + r**2. Let g(a) = 7*a**4 - 19*a**3 + 11*a**2 - 2*a. Let s(z) = -g(z) - 3*i(z). Suppose s(h) = 0. Calculate h.
0, 1/5, 1
Let t(z) be the second derivative of -z**7/210 - z**6/120 + 2*z**2 + 4*z. Let r(l) be the first derivative of t(l). Let r(a) = 0. Calculate a.
-1, 0
Let g be 12/(-36) + (-2)/(-4). Let n(s) be the second derivative of 0*s**2 - 1/15*s**6 - 1/3*s**3 + 0 + 1/10*s**5 + g*s**4 + 3*s. What is j in n(j) = 0?
-1, 0, 1
Let 1/2 + 1/4*r - 1/4*r**2 = 0. What is r?
-1, 2
Let p(l) be the first derivative of -6 - 2/9*l**3 + 1/6*l**4 - 1/3*l**2 + 2/3*l. Factor p(j).
2*(j - 1)**2*(j + 1)/3
Let h(f) be the third derivative of f**7/630 - f**6/180 - f**5/180 + f**4/36 + f**2. Factor h(n).
n*(n - 2)*(n - 1)*(n + 1)/3
Let n = 8 - 6. Suppose i + 0*i = n. Factor 2 - y**2 + 0 + 2*y - i*y**3 - y**2.
-2*(y - 1)*(y + 1)**2
Let k = -8 - -10. Factor z**2 - z**3 - z**k.
-z**3
Let p(v) be the first derivative of 2*v**3/9 - v**2/3 - 9. Factor p(l).
2*l*(l - 1)/3
Let m be 4/(-6)*(0 + -3). Let w be m*(2 - 1 - 0). Factor w - 2*q**2 - 4*q + 4*q**2 + 0*q**2.
2*(q - 1)**2
Suppose -4 = 3*h - 34. Suppose 0 = -3*a - 2*a + h. Solve 2/3*w + 0 + 2/3*w**5 + 8/3*w**a + 8/3*w**4 + 4*w**3 = 0 for w.
-1, 0
Suppose -f = -2*o + 21, 0*o - 3*f = 2*o - 33. Find c, given that o*c**3 + 6*c**2 - 4*c + 3*c**2 + c = 0.
-1, 0, 1/4
Let v(w) be the third derivative of -w**5/270 - w**4/54 - w**3/27 - 8*w**2. Suppose v(z) = 0. Calculate z.
-1
Let h(f) = 5*f**2 + 3*f + 6. Let i(q) = 9*q**2 + 6*q + 11. Suppose -m + z + 6 = -2*z, -z = 0. Let c(u) = m*i(u) - 11*h(u). Factor c(a).
-a*(a - 3)
Let 20*d**3 + 80*d - 11*d**3 - 75*d**2 - 2*d**4 + 11*d**3 - 32 + 9*d**2 = 0. What is d?
1, 4
Suppose -2*q + 5 = -5. Let w(s) be the first derivative of 1 - 4/3*s**3 + 0*s**4 - s**2 + 0*s + 4/5*s**q + 1/3*s**6. Factor w(b).
2*b*(b - 1)*(b + 1)**3
Let c be 1*4/20 + 505/25. Factor -6/5 - 21/5*f**5 - c*f**3 + 48/5*f**2 + 3/5*f + 78/5*f**4.
-3*(f - 1)**4*(7*f + 2)/5
Let f(c) be the second derivative of -2*c**7/21 - 4*c**6/15 + 2*c**4/3 + 2*c**3/3 + 4*c. Find q such that f(q) = 0.
-1, 0, 1
Let r(f) be the third derivative of -f**8/1848 + 9*f**2. Suppose r(g) = 0. Calculate g.
0
Let x(u) be the first derivative of 0*u**2 - 3/2*u**6 + 4*u + 3*u**5 - 5*u**3 + 5/4*u**4 - 4. Find i, given that x(i) = 0.
-2/3, 1
Suppose -3*y - 5 = -4*y. Solve -o - y*o - 2*o + 5 - 3 - 10*o**2 = 0.
-1, 1/5
Let u(x) = 8*x**2 - 16*x - 4. Let h(z) = 15*z**2 - 33*z - 8. Let d(f) = 6*h(f) - 13*u(f). Factor d(s).
-2*(s - 1)*(7*s + 2)
Let t(x) be the second derivative of 3*x**5/20 + 2*x**3/3 - 2*x**2 - 2*x. Let z(w) = 21*w**3 + 27*w - 27. Let v(s) = -27*t(s) + 4*z(s). Factor v(y).
3*y**3
Let y(d) be the third derivative of d**6/240 - 10*d**2. Suppose y(a) = 0. What is a?
0
Suppose -8*o = -32 - 16. Let y(d) be the second derivative of 1/42*d**7 + 1/6*d**3 + 0 + 1/6*d**4 - 4*d - 1/10*d**5 - 1/2*d**2 - 1/30*d**o. Factor y(m).
(m - 1)**3*(m + 1)**2
Let w be -1*4*2/(-4). Suppose -3*y - 4 = 2*k, -3*y - k + 5*k + 26 = 0. Factor 2*s - w - y*s**3 + 3*s - 3*s + 2*s**2.
-2*(s - 1)**2*(s + 1)
Let s be 4/(-16) + 2353/(-12). Let m = -194 - s. Factor 2/3 + m*k**4 - 23/3*k**3 - 13/3*k + 9*k**2.
(k - 1)**3*(7*k - 2)/3
Let i = 112 - 2351/21. Let a(x) be the second derivative of -2/105*x**6 + 1/21*x**4 + 0*x**2 + 3*x + 0*x**5 + 0 + 1/147*x**7 - i*x**3. Factor a(o).
2*o*(o - 1)**3*(o + 1)/7
Let y = -6 - -11. Let -6*n**4 - 2*n**5 + 3*n**4 + y*n**5 = 0. Calculate n.
0, 1
Let i(f) be the first derivative of f**3/5 - 9*f**2/5 + 24*f/5 + 12. Factor i(a).
3*(a - 4)*(a - 2)/5
Let -15/2*t**2 + 0 - 9/2*t**4 - 21/2*t**3 - 3/2*t = 0. Calculate t.
-1, -1/3, 0
Find y, given that 2*y**3 - 4*y - 5*y**3 + 6*y**2 - 2*y**3 + 3*y**3 = 0.
0, 1, 2
Factor -33*l + 15*l**2 - 3 + 15 + 57*l + 3*l**3.
3*(l + 1)*(l + 2)**2
Suppose -5*p = -p - 72. Let c be (-4)/18*(-27)/p. Solve 4/3 + c*f**2 - 4/3*f = 0.
2
Let u be 1/3 + (-22)/3. Let v be (-2)/u - (-3)/14. Suppose -v*w**3 - 3/2*w**2 - 1/2 - 3/2*w = 0. Calculate w.
-1
Let l(g) = -9*g - 6. Let v(i) = -9 - 2*i - 3*i**2 - 17*i - 2 + 2*i**2. Let n(b) = -7*l(b) + 3*v(b). Factor n(u).
-3*(u - 3)*(u + 1)
Let q(z) be the third derivative of -2*z**7/175 - 9*z**6/200 - z**5/50 - 7*z**2. Find n, given that q(n) = 0.
-2, -1/4, 0
Suppose 2*a - 4*c = -6, -5*a - 3*c - 1 = -25. Factor -3 - 6*g - a*g + 2*g**3 + 4*g**3 + 3*g + 3*g**4.
3*(g - 1)*(g + 1)**3
Let q = 269 + -1344/5. Let 1/5*p + q*p**2 + 0 = 0. Calculate p.
-1, 0
Let i(w) be the first derivative of -w**3/3 + 9*w**2/2 + 14*w + 1. Let p be i(10). Solve 0 - 3*v**p - v**3 + 4/3*v + 8/3*v**2 = 0 for v.
-2/3, 0, 1
Let x(b) be the third derivative of b**7/42 + b**6/8 + b**5/12 - 5*b**4/8 - 5*b**3/3 + 15*b**2. Factor x(z).
5*(z - 1)*(z + 1)**2*(z + 2)
Solve -1/6*x + 0 - 1/6*x**2 = 0 for x.
-1, 0
Let j(t) = -t**3 - 10*t**2 + 7*t + 15. Let s be j(-10). Let r be 1 - (-3 - s/15). Factor r*q - 1/3*q**3 + q**4 - q**2 + 0.
q*(q - 1)*(q + 1)*(3*q - 1)/3
Let s(t) be the first derivative of t**6/15 - 2*t**5/25 - t**4/2 + 2*t**3/3 + 4*t**2/5 - 8*t/5 - 2. Suppose s(r) = 0. What is r?
-2, -1, 1, 2
Let a = -637/4 - -160. Find q such that 3/4*q - a*q**2 + 3/2 = 0.
-1, 2
Let q(k) = -3*k**3 + 12*k**2 - 18*k + 6. Let w = -28 - -25. Let h(u) = 0*u**3 - 32*u + 12 - 6*u**3 - 3*u + 24*u**2. Let m(f) = w*h(f) + 5*q(f). Factor m(n).
3*(n - 2)*(n - 1)**2
Let d(h) = h - 2. Let b be d(5). What is w in w**2 - 3*w - 2*w**b + w**2 + 5*w + 2 - 4 = 0?
-1, 1
Let d(q) = 19*q**5 + 37*q**4 + 30*q**3 + 25*q**2 - 13*q + 13. Let r(l) = 3*l**5 + 6*l**4 + 5*l**3 + 4*l**2 - 2*l + 2. Let g(v) = 6*d(v) - 39*r(v). Factor g(x).
-3*x**2*(x + 1)**2*(x + 2)
Suppose -99/4*n**3 + 3*n**4 - 111/4*n + 9/2 + 45*n**2 = 0. What is n?
1/4, 1, 6
Let g(z) be the second derivative of -z**4/6 - 2*z**3 - 5*z**2 - 16*z. Find n such that g(n) = 0.
-5, -1
Let b(t) be the third derivative of t**8/112 - 4*t**7/175 - 9*t**6/200 + 2*t**5/25 + t**4/10 - 12*t**2. Solve b(v) = 0 for v.
-1, -2/5, 0, 1, 2
Suppose 2*m - 14 = -2*p, -2*m = -4*p + m + 28. Let d be p/2 - 1/2. Determine y, given that 0*y - 2*y**d - 2*y + 4*y = 0.
-1, 0, 1
Let o be 26/13 + -2 + 0/4. Let -4/3*j**2 - 2/3*j + 0 + o*j**3 + 4/3*j**4 + 2/3*j**5 = 0. What is j?
-1, 0, 1
Factor -4*c**3 + 26*c - 83*c - 11*c**2 + 27*c**2 + 41*c.
-4*c*(c - 2)**2
Let w(j) be the second derivative of j**7/7 - 13*j**5/30 + 4*j**3/9 + 27*j. Solve w(x) = 0.
-1, -2/3, 0, 2/3, 1
Let m = -63 - -88. Suppose f + f + 3*i = -15, 4*f + 5*i = -m. Solve -1/2*v**4 - 1/2*v**5 + f + 0*v + 1/2*v**3 + 1/2*v**2 = 0 for v.
-1, 0, 1
Suppose -y - 4*y = -5. Let z be (-4 - -8) + y/(-4). Determine q, given that -3*q**2 - z*q - 3/4 = 0.
-1, -1/4
Let d be (-27 - 1) + 8 + -9. Let s = d - -147/5. Let -8/5*u**2 + 8/5*u - s = 0. Calculate u.
1/2
Let v(g) be the third derivative of g**7/1155 - 2*g**6/165 + 7*g**5/110 - 3*g**4/22 + 35*g**2 + g. Factor v(r).
2*r*(r - 3)**2*(r - 2)/11
Suppose 5*x = -5*s - 25, -5*s - 3*x - 15 = -3*s. Let c(w) be the second derivative of 2*w + 0*w**2 + 1/54*w**4 + 1/27*w**3 + s. Suppose c(g) = 0. What is g?
-1, 0
Determine l, given that 2/5*l**3 - 4/5*l**2 + 4/5 - 2/5*l = 0.
-1, 1, 2
Let c(r) = -11*r**3 + 9*r**2 - 13*r + 15. Let y(t) = -5*t**3 + 5*t**2 - 7*t + 7. Let i(k) = 3*c(k) - 7*y(k). Let i(u) = 0. What is u?
1, 2
Factor 0 + 4/3*c**2 + 1/3*c**3 + c.
c*(c + 1)*(c + 3)/3
Let h(t) = -t - 5. Let b be h(-7). Factor -12*k**3 + 13*k**b - 4*k - k**2 + 2*k**4 + 2*k**4.
4*k*(k - 1)**3
Let m = 70 - 68. Factor 0 - 2/3*c**5 + 2*c**3 + 4/3*c**m + 0*c**4 + 0*c.
-2*c**2*(c - 2)*(c + 1)**2/3
Let z be 15*(15/9 - 1). Let p = z - 6. Determine a, given that 14/3*a**5 + 10*a - 4/3 - 80/3*a**2 + 100/3*a**3 - 20*a**p = 0.
2/7, 1
Let q = -12 + 6. Let o = q + 8. Factor 0*n + 8/5*n**5 - 18/5*n**4 - 2/5*n**o + 0 + 12/5*n**3.
2*n**2*(n - 1)**2*(4*n - 1)/5
Factor 0*k**2 + 1/4*k**3 + 0 - 1/4*k**4 + 0*k.
-k**3*(k - 1)/4
Let l(j) be the second derivative of j**4/12 + 7*j**3/3 + 49*j**2/2 + 17*j. Factor l(w).
(w + 7)**2
Let g(l) be the first derivative of -l**6/3 + 2*l**5/5 + l**4/2 - 2*l**3/3 + 7. Factor g(x).
-2*x**2*(x 