 1 + 4/9*g. What is h in b(h) = 0?
-2, 1
Find y such that -4/5*y**3 + 0 + 0*y**4 + 0*y**2 + 2/5*y + 2/5*y**5 = 0.
-1, 0, 1
Let a(v) be the first derivative of -v**8/336 - v**7/70 - v**6/40 - v**5/60 - v**2 - 5. Let k(j) be the second derivative of a(j). Find q, given that k(q) = 0.
-1, 0
Let y be -5*(2 - 184/90). Let 0 - 4/9*i**3 + y*i**2 + 2/9*i = 0. Calculate i.
-1/2, 0, 1
Find w such that 16/3 - 19/3*w**2 + 32/3*w + 5/6*w**3 = 0.
-2/5, 4
Solve 0*f**2 - 3*f + 3/2*f**4 + 3*f**3 - 3/2 = 0.
-1, 1
Let j = -181/3 + 61. Factor -2/3*i**2 + 0*i + j.
-2*(i - 1)*(i + 1)/3
Let l(t) be the first derivative of -t**4/2 - 2*t**3 - 3*t**2 - 2*t - 3. Solve l(a) = 0.
-1
Let o(y) = 9*y**2 - 3*y + 9. Let v(p) be the second derivative of -p**4/3 + p**3/6 - 2*p**2 + 3*p. Let n(q) = 3*o(q) + 7*v(q). Suppose n(a) = 0. What is a?
-1
Let 1/2*x**4 - 1/2*x**2 - 1/2*x**3 + 1/2*x + 0 = 0. What is x?
-1, 0, 1
Let f(s) be the third derivative of s**8/84 + 8*s**7/105 + s**6/5 + 4*s**5/15 + s**4/6 + 9*s**2. Factor f(o).
4*o*(o + 1)**4
Let a be (-4)/(-18) + 210/27. Suppose 0 = i + 3*i - a. Factor 8/7*u + 2/7*u**i + 8/7.
2*(u + 2)**2/7
Let h be 4/(-10) + 26/60. Let r(b) be the third derivative of 1/105*b**7 + 1/60*b**6 + 0*b**3 - 1/12*b**4 + 0 - 3*b**2 - h*b**5 + 0*b. Factor r(c).
2*c*(c - 1)*(c + 1)**2
Let i(c) = 2*c**2 - 8*c - 10. Let x(l) = -2*l**2 + 8*l + 10. Let k(d) = -3*i(d) - 4*x(d). Solve k(v) = 0 for v.
-1, 5
Factor 0 - 3/4*p**4 - 3/2*p**2 + 0*p + 9/4*p**3.
-3*p**2*(p - 2)*(p - 1)/4
Let a = -55/7 + 57/7. Solve -2/7*o**2 - a*o + 0 = 0.
-1, 0
Let m be 20/6*15/10. Suppose -3*g + 1 = 4*w, 2*g = 5*w + 5*g - m. What is r in r + 6*r + 10*r**2 - 3*r + 2*r**3 - 4*r**w = 0?
-1, -1/2, 0, 2
Let h be 2 + -3 - ((-11)/(-6) + -3). Determine u so that h*u**2 + 0 + 0*u - 1/2*u**4 + 0*u**3 + 1/3*u**5 = 0.
-1/2, 0, 1
Let i = -3222 + 61234/19. Let v = 104/57 + i. Factor 0 + 2*y**3 - 8/3*y - v*y**2.
2*y*(y - 2)*(3*y + 2)/3
Let a(r) be the second derivative of -4/21*r**3 + 2/35*r**5 - 2*r + 1/14*r**4 + 0 - 4/7*r**2 + 1/105*r**6. Factor a(i).
2*(i - 1)*(i + 1)*(i + 2)**2/7
Let l(t) = 3*t**3 - t**2 + 3*t - 3. Let f be l(1). Find y, given that -2/3*y - 4/3*y**f + 0 - 2/3*y**3 = 0.
-1, 0
Let u(z) be the second derivative of 1/5*z**2 + 1/60*z**4 + 1/10*z**3 - 2*z + 0. Factor u(v).
(v + 1)*(v + 2)/5
Let h(k) be the second derivative of k**5/60 - k**4/12 - 23*k. Factor h(d).
d**2*(d - 3)/3
Suppose -2*y - 5*n - 11 = 0, -n = 3*y + 2*y - 7. Let q be (-2)/3*(-27)/6. Factor -q*g**3 + g**3 + 2*g**4 - 2*g**2 + y*g**2.
2*g**3*(g - 1)
Let v(r) be the third derivative of r**5/30 - r**4/4 + 2*r**3/3 + 4*r**2. Factor v(o).
2*(o - 2)*(o - 1)
Suppose 4*g = 5*m + 1, -5*g + m + 7 = -10. Solve 2*l + l**g - 3*l - 4*l - l**2 + 3*l**3 + 3*l - l**5 = 0.
-1, 0, 1, 2
Determine z, given that -2*z - 15*z**3 - 15*z**2 + 40*z**4 - 45*z**4 - 3*z = 0.
-1, 0
Suppose -12 = -0*w - 4*w. Let 2*a**3 + a**3 - 2*a - 2*a**4 - a**w + 2*a**2 = 0. What is a?
-1, 0, 1
Let q(u) = -u**2 - 2. Let z be q(0). Let x be z/(-5) - (-4 - -4). Factor 2/5*r**2 + 0 + x*r.
2*r*(r + 1)/5
Suppose -8 = 6*j - 56. Let k be (-10)/j*72/(-60). Solve k*x + 0 + 3/2*x**5 + 6*x**2 + 6*x**4 + 9*x**3 = 0.
-1, 0
Let r = -5 - -11. Suppose -i = t - 5*i - r, 2*t - 7 = 3*i. Let -2*v + 2*v**3 + 2*v**2 - 2*v**4 - 7 + 3 + 4*v**t = 0. What is v?
-1, 1, 2
Let z(l) = -l + 1. Let b be z(-1). Determine q, given that -2*q**2 - 3*q**3 - 4*q**4 - 2*q**4 - 3*q**3 - b*q**5 = 0.
-1, 0
Let h(q) = -q**3 + 17*q**2 + 12*q - 1. Let v(x) = -2*x**3 + 26*x**2 + 18*x - 2. Let c(t) = 8*h(t) - 5*v(t). Factor c(l).
2*(l + 1)**3
Determine r so that 7/2*r - 7/2*r**3 - 1 + 5/2*r**4 - 3/2*r**2 = 0.
-1, 2/5, 1
Let a(g) be the second derivative of g**6/15 - 37*g**5/70 + 4*g**4/7 + 52*g**3/21 - 16*g**2/7 - 50*g. Find k, given that a(k) = 0.
-1, 2/7, 2, 4
Let x(z) be the third derivative of 0*z**5 + 1/420*z**6 + 0 - 1/735*z**7 + 0*z**4 + 0*z + 0*z**3 + 6*z**2. Factor x(j).
-2*j**3*(j - 1)/7
Suppose -4*f = f. Find t such that f + 0*t - 1/2*t**3 + t**2 = 0.
0, 2
Let u = 755/2 - 377. Factor -3/2*n - u*n**3 - 3/2*n**2 - 1/2.
-(n + 1)**3/2
Let q(x) = -x + 147. Let k be q(0). Let h = k - 1027/7. Suppose 4/7 - 2/7*g**2 - h*g = 0. Calculate g.
-2, 1
Let b(h) be the second derivative of -h + 0*h**3 - 1/24*h**4 + 1/4*h**2 + 0. Factor b(a).
-(a - 1)*(a + 1)/2
Factor -2*c**4 - 9/2 - 10*c**3 - 37/2*c**2 - 15*c.
-(c + 1)**2*(2*c + 3)**2/2
Suppose 0*l - 12 = -3*l. Suppose 3*m = 12, -l*z - 3*m + 6*m = -4. Factor 15*w**3 + 12*w**2 + 6 + 8*w - 7*w**3 - z + 2*w**4.
2*(w + 1)**4
Suppose 5*t - 5*w = -0*t + 5, -4*t - 4*w = -12. Factor 2*m**4 + 2 - 8*m**3 + 12*m**2 - 6*m + 0*m**3 - t*m.
2*(m - 1)**4
Let h(m) be the second derivative of 0*m**2 + 3*m - 1/3*m**4 - 1/3*m**3 - 1/10*m**5 + 0. Factor h(o).
-2*o*(o + 1)**2
Let d be 5 + 0 - 1/1. Suppose -d*z + 2*z = 0. Factor z + 2/3*c**2 + 2/3*c.
2*c*(c + 1)/3
Let c(a) = 9*a**3 - 144*a**2 - 321*a - 192. Let o(t) = -t**3 + 18*t**2 + 40*t + 24. Let g(h) = -4*c(h) - 33*o(h). Factor g(f).
-3*(f + 2)**3
Let a(q) be the first derivative of -2*q**3/39 - 8*q**2/13 - 32*q/13 + 4. Determine z so that a(z) = 0.
-4
Let q be (3/(-5))/(4/(-60)). Let c(i) = -15*i**2 + 6. Let p(d) = 7*d**2 - 3. Let l(m) = q*p(m) + 4*c(m). Factor l(x).
3*(x - 1)*(x + 1)
Let d(g) be the second derivative of g**7/105 + g**6/25 - 2*g**4/15 + g. Find x such that d(x) = 0.
-2, 0, 1
Let m(q) be the second derivative of -1/8*q**3 + 0*q**2 + 0 + q - 1/16*q**4. Factor m(i).
-3*i*(i + 1)/4
Let a(m) be the second derivative of m**5/50 - m**4/10 + 2*m**3/15 + 23*m. Suppose a(s) = 0. What is s?
0, 1, 2
Let j = -27 + 34. Let j*r**4 - 4*r**4 + 4*r**3 - 7*r**4 = 0. Calculate r.
0, 1
Let -27*q**3 + 31*q**2 + 58*q**3 + 10 + 25*q - 11*q**2 - 26*q**3 = 0. What is q?
-2, -1
Let r(y) be the first derivative of 5*y**4/4 - 20*y**3/3 + 25*y**2/2 - 10*y + 13. Factor r(z).
5*(z - 2)*(z - 1)**2
Let h = -962 - -4828/5. Factor -h*o**2 - 54/5 - 54/5*o - 2/5*o**3.
-2*(o + 3)**3/5
Let l(t) = -t**2 + t + 0*t - 2*t - t**3. Let f(c) = 1 - 1 - 4*c**3 - 6*c - 4*c**2 - 4*c**3. Let z(h) = -f(h) + 6*l(h). Suppose z(y) = 0. Calculate y.
0, 1
Let l(h) be the second derivative of -h**7/756 + 13*h**6/1620 + h**5/90 + h**3 + 6*h. Let v(f) be the second derivative of l(f). Factor v(b).
-2*b*(b - 3)*(5*b + 2)/9
Let -6*m**5 - 12*m**4 + 9*m**5 + 5*m**3 + 10*m**3 - 6*m**2 = 0. Calculate m.
0, 1, 2
Let f(p) be the third derivative of -7*p**6/360 + 11*p**5/240 - p**4/24 + 7*p**3/6 + p**2. Let n(x) be the first derivative of f(x). What is t in n(t) = 0?
2/7, 1/2
Let r be ((-11)/(110/(-8)))/((-4)/(-10)). Find z, given that 0 + 0*z - 1/2*z**r + 1/2*z**3 = 0.
0, 1
Let d(n) be the first derivative of -343*n**4/10 + 98*n**3/5 - 21*n**2/5 + 2*n/5 - 51. Solve d(k) = 0.
1/7
Factor 3*h**2 + 3/2 - 15/4*h - 3/4*h**3.
-3*(h - 2)*(h - 1)**2/4
Let -4*w - 6*w**4 + 7*w**4 - 11*w**4 + 4*w**3 + 10*w**2 = 0. What is w?
-1, 0, 2/5, 1
Let s(u) be the first derivative of -u**5/30 + u**4/6 - u**3/3 + u**2/3 - 2*u - 3. Let r(b) be the first derivative of s(b). Determine h so that r(h) = 0.
1
Let w(z) be the first derivative of 5*z**3/6 + 2*z**2 - 2*z + 6. Factor w(a).
(a + 2)*(5*a - 2)/2
Let c = -11 + 7. Let k = -2 - c. Find f such that 9*f**2 + 5 + 11*f - k - 1 = 0.
-1, -2/9
Let q(w) be the third derivative of -w**8/336 - w**7/70 + w**5/15 + 9*w**2 - 3. Determine t so that q(t) = 0.
-2, 0, 1
Let x(o) = o + 5. Let p be x(-3). Factor -3/5*v**p - 3/5*v - 1/5 - 1/5*v**3.
-(v + 1)**3/5
Factor 3*w**2 - 1/2*w**3 - 4 - 1/2*w**4 + 2*w.
-(w - 2)*(w - 1)*(w + 2)**2/2
Suppose 0 = -3*r + 13 + 5. Let s = r + -3. Factor 0*f + 0 - 2/3*f**2 - 2/3*f**s.
-2*f**2*(f + 1)/3
Let h(t) be the third derivative of 1/60*t**5 + 0*t + 0 + 1/30*t**6 - 2*t**2 - 1/210*t**7 + 0*t**3 + 0*t**4 - 1/84*t**8. Let h(o) = 0. What is o?
-1, -1/4, 0, 1
Let b(a) be the second derivative of -3*a**5/20 - 7*a**4/4 - 15*a**3/2 - 27*a**2/2 + 3*a. Factor b(s).
-3*(s + 1)*(s + 3)**2
Let w = 23 - 20. Let k(p) be the first derivative of -1/4*p**4 + 0*p**2 - w - 2/3*p**3 + 1/2*p + 1/6*p**6 + 3/10*p**5. Solve k(l) = 0.
-1, 1/2, 1
Let i(f) = f**2 + f. Let g(z) = -10*z**2 - 9*z + 1. Let w be ((-4)/(-6))/(4/(-12)). Let a(l) = w*g(l) - 22*i(l). Factor a(p).
-2*(p + 1)**2
Factor 4/7 + 10/7*h + 8/7*h**2 + 2/7*h**3.
2*(h + 1)**2*(h + 2)/7
Suppose 