+ 7/9*o**3 + 5/6*o**2. Factor b(k).
(k + 1)*(7*k - 2)/3
Suppose 4/3*l + 2/3*l**2 - 16/3 = 0. Calculate l.
-4, 2
Suppose -4*j + 2*j - 6 = 0. Let l be (6 - 7) + j/(-1). Find m, given that -m**2 + 3*m**4 + l*m**5 - 9*m**4 - m**2 + 6*m**3 = 0.
0, 1
Suppose 8 = -2*u + 3*w - 8, -3*u = 4*w - 10. Let b be 3/3 + -1 - u. Factor 2*n**2 + 2 - 2 + 0*n**b + 2*n.
2*n*(n + 1)
Suppose 6*o = 2*p + 2*o - 28, -p + 29 = o. Let -3*y**5 - y**3 - 12 + p*y + 15*y**4 - 20*y**3 + 2*y**2 - 5*y**2 = 0. What is y?
-1, 1, 2
Suppose -65 = -5*d - 20. Suppose 4*z + d - 21 = 0. Determine p so that -5*p**3 - p**4 - p**4 - 7*p**2 - p**3 + z*p**2 = 0.
-2, -1, 0
Let a be 119/(-120) - (2 - 3). Let h(f) be the third derivative of 0 - f**2 - 1/12*f**3 + a*f**5 + 0*f**4 + 0*f. Solve h(c) = 0.
-1, 1
Let b(z) be the second derivative of -1/12*z**4 + 0*z**3 + 0 + 1/2*z**2 + 4*z. Factor b(h).
-(h - 1)*(h + 1)
Let v(m) be the second derivative of m**7/42 + m**6/30 - 17*m. Factor v(i).
i**4*(i + 1)
Let v(h) = h**2 - h + 2. Let o be v(0). Factor -f**5 - 5*f**4 - 4*f**2 + o*f**5 + f**4 + f + 6*f**3.
f*(f - 1)**4
Let q(c) be the second derivative of 2*c**7/7 - 4*c**6/15 - 3*c**5/5 + 2*c**4/3 + 3*c. Let q(j) = 0. What is j?
-1, 0, 2/3, 1
Let o(h) = h - 1. Let y(a) = -3*a**2 + 7*a - 5. Let d(u) = 6*o(u) - y(u). Let p be d(-1). Solve 2*j**3 - j**p + 0*j**2 + j**2 - 2*j = 0 for j.
-2, 0, 1
Let b(k) be the third derivative of 1/1680*k**8 + 1/60*k**6 + 0 - 1/30*k**3 + k**2 - 1/30*k**5 + 1/24*k**4 + 0*k - 1/210*k**7. Let b(j) = 0. What is j?
1
Let v(x) = x**3 + 3*x**2 + 2*x - 2. Let f be v(-2). Let o be (-6)/f + (-21)/9. Find u, given that 0 + 0*u**2 + 0*u + 0*u**3 + 2/3*u**5 - o*u**4 = 0.
0, 1
Factor -4*i**5 - 510 - 4*i**3 - 8*i**4 + 510.
-4*i**3*(i + 1)**2
Factor -d**4 - 3/5*d**2 + 0*d - 7/5*d**3 - 1/5*d**5 + 0.
-d**2*(d + 1)**2*(d + 3)/5
Let g(t) be the first derivative of 4*t**3/3 + 2*t**2 + 5. Solve g(l) = 0 for l.
-1, 0
Let f(r) be the second derivative of r**6/105 + r**5/70 - r**4/42 - r**3/21 - 5*r. Factor f(o).
2*o*(o - 1)*(o + 1)**2/7
Let t = 77 - 74. Find q such that 8/11 + 10/11*q**2 - 16/11*q - 2/11*q**t = 0.
1, 2
Solve 27/2 + 3/2*c**2 - 9*c = 0 for c.
3
Factor -2/7*p**2 - 8/7*p + 0 + 8/7*p**3 + 2/7*p**4.
2*p*(p - 1)*(p + 1)*(p + 4)/7
Factor 14*s**2 - 14*s - 2*s**3 + 7*s - 5*s.
-2*s*(s - 6)*(s - 1)
Let m = 6 - 12. Let k be 3/m*2 - -6. Determine j, given that -2*j**4 - 3*j**5 + 3*j**5 - j**k + 3*j**5 = 0.
0, 1
Suppose v = -5, v = 2*t + 2*v - 1. Let o be 2*((-27)/(-6))/t. Factor -i**3 - i**5 + 4*i**4 - i**o - 1 + 0 - i**4 + 3*i - 2*i**2.
-(i - 1)**4*(i + 1)
Let i be 1/(-2)*2/(-8). Let g(w) be the first derivative of 1/10*w**5 - i*w**4 + 1/4*w**2 - 1/6*w**3 + 0*w + 2. Determine s, given that g(s) = 0.
-1, 0, 1
Solve 4*g**2 - 2*g**2 + 6*g**2 - 4*g**2 = 0.
0
Let x(f) be the first derivative of -4*f**3/7 + 15*f**2/14 - 3*f/7 - 2. Factor x(s).
-3*(s - 1)*(4*s - 1)/7
Let i be 3/((-6)/(-4)) - 2. Let 4*t - 3*t**4 + 6*t**2 + t**4 + i*t**4 = 0. What is t?
-1, 0, 2
Let o(p) be the first derivative of 25*p**6/6 - 21*p**5 + 85*p**4/2 - 130*p**3/3 + 45*p**2/2 - 5*p - 44. Factor o(h).
5*(h - 1)**4*(5*h - 1)
Suppose -7 = -3*w - 1. Let r be (-2)/(112/(-24) + (-4)/(-6)). Suppose -n + 0 - r*n**w = 0. What is n?
-2, 0
Solve 3*h**4 + 27*h**3 - 28*h**3 - 2*h**4 = 0.
0, 1
Let w = 11 - 9. Let a(b) be the first derivative of -4/3*b**3 - 5/2*b**2 + w - b. Determine f so that a(f) = 0.
-1, -1/4
Suppose 3 - 7 = -2*l. Solve 2*k + k**3 - 3*k**l - k**3 + k**3 = 0 for k.
0, 1, 2
Let w = 59/6 + -55/6. Factor w - 2/3*j**2 + 0*j.
-2*(j - 1)*(j + 1)/3
Let r(s) be the third derivative of -s**5/210 - s**4/3 - 28*s**3/3 - 2*s**2. Suppose r(u) = 0. Calculate u.
-14
Let u(p) = p**5 + p**4 + p**3 - p. Let z(h) = -5*h**5 - 4*h**4 - 7*h**3 - h**2 + 7*h. Let y(i) = 28*u(i) + 4*z(i). Find g such that y(g) = 0.
-1, 0, 1/2
Let g(v) be the second derivative of -v**5/5 + v**4/3 + 4*v**3/3 + 11*v. Factor g(c).
-4*c*(c - 2)*(c + 1)
Let d(v) = -v. Let l(q) = q**2 + 8*q + 4. Let w be l(-7). Let j be d(w). Factor -3*s**j - 3*s**2 - 1 + 2*s**3 + 0 - 3*s.
-(s + 1)**3
Let 39*t + t**2 - 4 + 4 - t**4 - t**3 - 38*t = 0. Calculate t.
-1, 0, 1
Suppose h + 25 = -5*t, -2*h + 2*t - 2 = -12. Let x(w) be the third derivative of -w**2 + h + 0*w**3 + 7/60*w**5 + 0*w + 1/12*w**4. Let x(l) = 0. Calculate l.
-2/7, 0
Suppose -2*m - 3 - 7 = -5*i, -2*i + 2*m + 4 = 0. Suppose 0 + 2/5*n + 1/5*n**3 + 3/5*n**i = 0. Calculate n.
-2, -1, 0
Let x(g) be the first derivative of -g**7/300 - 4*g**6/225 - 11*g**5/300 - g**4/30 - g**3/3 - 1. Let n(v) be the third derivative of x(v). Factor n(k).
-2*(k + 1)**2*(7*k + 2)/5
Let 0 + 0*s - 2/11*s**4 + 0*s**3 + 2/11*s**2 = 0. Calculate s.
-1, 0, 1
Let z(c) be the first derivative of 2*c**3/63 - 10*c**2/21 + 50*c/21 + 2. Determine k, given that z(k) = 0.
5
Let t = 21 - 18. Factor 4*s + 2*s + 6 + 3*s**2 - t*s - 6*s**2.
-3*(s - 2)*(s + 1)
Let c(x) = x - 6. Let a be c(7). Let b be (-2)/(-3)*3*a. Solve -14*s**b + s**3 - 3*s - 7*s**3 + 14*s**4 + 10*s**5 - s = 0.
-1, -2/5, 0, 1
Let 1/4*u**2 + 0 + 1/2*u = 0. What is u?
-2, 0
Let q be (63/(-42))/((-6)/8). Suppose 4/9*y - 2/9*y**q - 2/9 = 0. Calculate y.
1
Let k(s) be the first derivative of -8/9*s**4 + 16/27*s**3 + 16/9*s**2 + 14/45*s**5 - 1/27*s**6 - 1 - 32/9*s. Let k(v) = 0. What is v?
-1, 2
Let k(j) be the first derivative of -2/25*j**5 + 1/10*j**4 + 2/15*j**3 - 3 - 1/5*j**2 + 0*j. Factor k(h).
-2*h*(h - 1)**2*(h + 1)/5
Find b such that 0*b**4 + 0*b + 0*b**2 + 0 - 1/4*b**3 + 1/4*b**5 = 0.
-1, 0, 1
Let r(m) = -m**3 + 6*m**2 - m + 7. Let x be r(6). Suppose -1/4*p**2 - x - p = 0. Calculate p.
-2
Let r(w) be the first derivative of w**4/18 - 2*w**3/3 - 10*w**2/9 - 15. Let r(o) = 0. What is o?
-1, 0, 10
Let p(b) be the third derivative of b**9/211680 + b**8/23520 - b**6/630 + b**5/15 - 6*b**2. Let a(g) be the third derivative of p(g). Factor a(o).
2*(o - 1)*(o + 2)**2/7
Let m = -7 - -16. Let q = m + -6. Factor 3*n**2 - n**2 + 0*n**3 - n**q - n**2 + 2*n.
-n*(n - 2)*(n + 1)
Let c(x) be the first derivative of 11*x**3/2 + 3*x**2/2 + 34. Factor c(b).
3*b*(11*b + 2)/2
Let s(m) = -16*m**4 + 4*m**3 + 10*m**2 - 60*m + 40. Let k(l) = -3*l**4 + l**3 + 2*l**2 - 12*l + 8. Let f(r) = -22*k(r) + 4*s(r). Factor f(p).
2*(p - 2)**2*(p - 1)*(p + 2)
Factor -2/5 - 1/5*h**2 - 3/5*h.
-(h + 1)*(h + 2)/5
Let p = 101/85 - 10/17. Determine r so that -3/5*r + p*r**4 + 1/5*r**5 + 2/5*r**3 - 2/5*r**2 - 1/5 = 0.
-1, 1
Let z(s) be the first derivative of 0*s**2 + 0*s**3 - 1/54*s**4 - 2 + s. Let o(w) be the first derivative of z(w). Factor o(f).
-2*f**2/9
Let h be ((-39)/(-117))/(4/6). Find g, given that -g + h*g**3 + 0 + 1/2*g**2 = 0.
-2, 0, 1
Let z be 50/60 + ((-4)/(-8))/1. Suppose -z*d**3 + 2/3*d**4 + 0*d**2 - 2/3 + 4/3*d = 0. Calculate d.
-1, 1
Let r = -1 - 5. Let y(v) = v**3 + 6*v**2 + 3. Let g be y(r). Solve w**3 - 4*w**3 - 8*w**3 + 8*w**4 + 2*w**2 + 3*w**g = 0.
0, 1/2
Suppose -u + 2 = -7. Suppose 0 = -3*q + 5*s + 16, 2*q = 4*s + 21 - u. Factor 3 + q + 3*h - 3 - h**3.
-(h - 2)*(h + 1)**2
Suppose 5*h = 4*x - 3*x + 6, 3*h = 0. Let y be 2/x + 978/18. Let -27/2*d**5 - 171/2*d**3 + y*d**4 + 4 - 26*d + 67*d**2 = 0. Calculate d.
2/3, 1
Let s(r) be the second derivative of r**7/105 + r**6/25 + 15*r. Find o such that s(o) = 0.
-3, 0
Let t = 22 - 2. Let o be (-3)/(-2)*t/15. Find i, given that 6*i - 4*i**2 + i**3 + 0*i**3 - o - i = 0.
1, 2
Let u = 5 + 5. Suppose o + s = -4*o + 8, 3*o = 2*s + u. Factor 3/2*t**o - 2*t + 1/2.
(t - 1)*(3*t - 1)/2
Let g(o) be the first derivative of -9*o**5/5 + 17*o**4/2 - 37*o**3/3 + 4*o**2 + 4*o - 1. Factor g(a).
-(a - 2)*(a - 1)**2*(9*a + 2)
Let x(j) be the first derivative of 5*j**4/4 - 10*j**3 + 160*j - 46. Factor x(o).
5*(o - 4)**2*(o + 2)
Suppose 6 = 5*p - 4. Let -19*b**2 + 2*b + 2*b**3 + 11*b**2 - 4*b - 2 + 10*b**p = 0. Calculate b.
-1, 1
Let g = 140/447 + 3/149. Factor -1/3 - l**2 - l - g*l**3.
-(l + 1)**3/3
Let z(d) = -d**3 - 10*d**2 - d - 11. Let i be z(-10). Let w = -1 - i. Find x such that 5*x**3 - x**3 - 4*x - 2 + w + 2*x**2 + 0 = 0.
-1, -1/2, 1
Let b = -238/3 + 80. Let d = 94/9 - 10. Factor -b*t**2 - d*t + 0.
-2*t*(3*t + 2)/9
Let k(b) = -b**3 - b**2 + 7. Let c be k(0). Suppose 3*u - i = 14 - 5, -c = -2*u + i. Factor -2*t**4 + t**2 + 3*t**4 - u*t**3 + 4*t**3.
t**2*(t + 1)**2
Let b = 