e l(-7). Let i be (-8)/76 + h/(-76). What is p in 0 - 2/3*p**3 + 2/3*p**4 + i*p - 4/3*p**2 = 0?
-1, 0, 2
Let l be 3 + 3 - 4 - -1. Let c(k) be the first derivative of 1/20*k**5 - 1/24*k**6 + 1/16*k**4 + 0*k + 0*k**2 - 1/12*k**l + 2. Factor c(o).
-o**2*(o - 1)**2*(o + 1)/4
Let a(m) = -m**2 - 11*m - 10. Let i be a(-10). Let x = 2 + i. Find j such that 5*j - 2*j - 1 + j + j**2 - 4*j**x = 0.
1/3, 1
Let l(g) be the first derivative of g**4 - 8*g**2 - 5. Factor l(j).
4*j*(j - 2)*(j + 2)
Let i(g) be the second derivative of -1/12*g**4 + 1/90*g**5 - 2*g + 0 - 1/2*g**2 + 2/9*g**3. Let d(m) be the first derivative of i(m). Factor d(n).
2*(n - 2)*(n - 1)/3
Let g be 2/(-7) + (-1160)/(-385). Factor 2/11*z - 4/11 + g*z**2.
2*(3*z - 1)*(5*z + 2)/11
Let w(n) = -4*n - 16. Let m be w(-5). Let g(j) = -3*j - 5. Let d be g(-6). Factor 251*f**4 - 3 - d*f**2 + m + 5*f**4 - 19*f**2.
(4*f - 1)**2*(4*f + 1)**2
Let k be (2/36)/((-24)/(-16)). Let z(b) be the third derivative of 2*b**2 + 0 - 1/945*b**7 + k*b**3 - 1/54*b**4 + 0*b + 0*b**5 + 1/270*b**6. Solve z(n) = 0.
-1, 1
Suppose 0 = q - 6*q + 15. Let a be 8 - (4 - 1) - q. Solve -2/3*n**a - 1/3*n**3 - 1/3*n + 0 = 0.
-1, 0
Let w(q) = q**2 - 5*q. Let v be w(6). Factor 0*c**2 + 3*c**2 + v*c + 3 - 12*c.
3*(c - 1)**2
Let r(h) be the first derivative of h**6/360 - h**3/3 - 1. Let u(b) be the third derivative of r(b). Factor u(d).
d**2
Let b be (-14)/(-2) + 8/(-4). Let h be -1 - b*(-1 + 0). Factor -7*a**5 + a**3 + h*a**4 - 2*a**4 + 8*a**5.
a**3*(a + 1)**2
Find s, given that -4*s**3 + 3 + 5*s**3 + 3*s**2 - 5 + 3*s + 3 = 0.
-1
Let n(t) be the third derivative of t**8/28 - 2*t**7/105 - 4*t**6/15 - 4*t**5/15 - t**2. Solve n(j) = 0.
-1, -2/3, 0, 2
Let g be (-1)/1 + -6*7/(-42). Factor 6/7*u**5 - 2/7*u**3 + 0 - 4/7*u**4 + 0*u + g*u**2.
2*u**3*(u - 1)*(3*u + 1)/7
Let u(d) be the first derivative of 1/5*d**5 - 3 + 0*d**4 - 1/3*d**3 + 1/12*d**6 - 1/4*d**2 + 0*d. What is l in u(l) = 0?
-1, 0, 1
Let t(w) be the second derivative of w**7/14 + 3*w**6/5 + 39*w**5/20 + 3*w**4 + 2*w**3 - 2*w. Factor t(g).
3*g*(g + 1)**2*(g + 2)**2
Let a be 0 + 0 + 3 + -2. Let t be (8/16)/(2*a). Factor -1/4 - t*w + 1/4*w**3 + 1/4*w**2.
(w - 1)*(w + 1)**2/4
Suppose -4*i + a = 16 + 1, -3*i - 5*a + 16 = 0. Let t be i + (-9 - 0)/(-3). Solve 2/5*u + 2/5*u**2 - 2/5*u**4 - 2/5*u**3 + t = 0 for u.
-1, 0, 1
Factor -6*o**3 - 4/3*o + 0 - 2/3*o**5 + 10/3*o**4 + 14/3*o**2.
-2*o*(o - 2)*(o - 1)**3/3
Let j = -131 - -133. Let c(i) be the third derivative of 4*i**j + 1/270*i**5 + 0*i + 0*i**3 - 1/54*i**4 + 0. Suppose c(m) = 0. What is m?
0, 2
Suppose -5*u = 3*h - 39, h + u = 2*u + 13. Find g such that 19*g - 38*g**2 + 12*g**3 - 8*g**4 + 9*g + h*g**3 - 8 + g**5 = 0.
1, 2
Suppose 0 = 3*x - 4 - 20. Suppose 0 = k + 3*k + 5*h + x, 2*k + 2*h = -2. Suppose 4/5*y**4 + 0 - 2/5*y + 0*y**2 + 6/5*y**k = 0. Calculate y.
-1, 0, 1/2
Let l(u) be the third derivative of -u**8/480 + 4*u**7/315 - u**6/90 - u**4/24 - 4*u**2. Let d(b) be the second derivative of l(b). Factor d(g).
-2*g*(g - 2)*(7*g - 2)
Let p(q) = 17*q**4 - 25*q**3 + 15*q**2 - 2*q - 5. Let w(n) = -n**5 + 16*n**4 - 24*n**3 + 14*n**2 - n - 4. Let b(j) = -2*p(j) + 3*w(j). Solve b(a) = 0 for a.
-1/3, 1, 2
Let h(i) = -i**2 - i + 2. Let c be h(-3). Let b = 6 + c. Factor 6 - 6*x**3 + 2*x**3 + 3*x**5 - 6*x**b - 8*x**3 + 9*x.
3*(x - 2)*(x - 1)*(x + 1)**3
Let b be (-8)/4*1/(-10). Let g(o) be the first derivative of -1 - b*o**5 - 2*o**3 + o**4 + 2*o**2 - o. Find k such that g(k) = 0.
1
Let d(m) = -m**2 - 3*m - 2. Let j(b) = 2*b + 2. Let w = -6 + 3. Let n(l) = w*j(l) - 2*d(l). Determine u so that n(u) = 0.
-1, 1
Let h = -19 + 19. Let u(q) be the first derivative of 1 + h*q + q**2 + 2/3*q**3. Factor u(t).
2*t*(t + 1)
Let m(j) be the third derivative of j**6/120 - j**5/60 - 4*j**2. Find h, given that m(h) = 0.
0, 1
Let g = -128/5 + 134/5. Factor 3/5*v**3 - 9/5*v - g*v**2 + 0.
3*v*(v - 3)*(v + 1)/5
Let c = -6 + 9. Factor y**2 + 0*y + 0*y**c - 1/2 - 1/2*y**4.
-(y - 1)**2*(y + 1)**2/2
Suppose -10 = -5*h + 10*h. Let g(q) = q**2 + 0 - q**4 + q**3 + 0. Let w(r) = -2*r**5 + 2*r**4 - 2*r**2. Let a(m) = h*g(m) - w(m). Determine v so that a(v) = 0.
-1, 0, 1
Let v be 11 + -9 + (0 - 2). Suppose v = r - 2. Factor 2/5*c**3 + 2/5*c**r + 0 + 0*c.
2*c**2*(c + 1)/5
Determine h so that 0*h + 6/7*h**3 - 3/7*h**4 - 3/7*h**2 + 0 = 0.
0, 1
Factor -2/9 - 4/9*y - 2/9*y**2.
-2*(y + 1)**2/9
Let t(r) be the third derivative of 0*r**4 - r**2 + 0*r + 1/15*r**5 + 0 + 1/35*r**7 + 0*r**3 - 1/12*r**6. Factor t(d).
2*d**2*(d - 1)*(3*d - 2)
Let r(b) be the third derivative of -2*b**7/105 - 2*b**6/15 - b**5/5 + 2*b**4/3 + 8*b**3/3 - 20*b**2. Factor r(x).
-4*(x - 1)*(x + 1)*(x + 2)**2
Let w be 0/(4/(4/3)). Factor 3/2*q**2 + w - q + q**3.
q*(q + 2)*(2*q - 1)/2
Let x be (-2)/(-7) + (-994)/49. Let l be x/(-25)*1/2. Factor 0*t**3 + l*t**5 - 4/5*t**4 + 0 + 4/5*t**2 - 2/5*t.
2*t*(t - 1)**3*(t + 1)/5
Let f = 10/3 - 37/12. Factor 1/4*z**3 - 1/4*z + 1/4*z**2 - f.
(z - 1)*(z + 1)**2/4
Let p(j) be the third derivative of j**6/720 - 7*j**5/120 + 49*j**4/48 - 343*j**3/36 + 18*j**2 - 1. Suppose p(i) = 0. What is i?
7
Let m(a) = 2*a**4 + 11*a**3 + 12*a**2 + 2*a + 2. Let c(p) = p**3 - p + 1. Let w(x) = 2*c(x) - m(x). Factor w(y).
-y*(y + 2)**2*(2*y + 1)
Determine y so that -1/2 - 1/4*y**3 - 1/4*y**4 + 1/4*y + 3/4*y**2 = 0.
-2, -1, 1
Suppose -5*x = -x - 8. Let i(d) be the second derivative of 0 - 1/30*d**4 - 1/15*d**3 + d + 0*d**x. Factor i(c).
-2*c*(c + 1)/5
Let i(y) = -y**2 + 10*y + 13. Let m be i(11). Factor 56*p - 2*p**2 - 54*p + p**m.
-p*(p - 2)
Let -288*i + 47*i**4 - 14*i**4 - 15*i**4 + 78*i**2 + 99*i**3 + 96 - 3*i**4 = 0. Calculate i.
-4, 2/5, 1
Let k(w) = 4*w**2 - 4*w + 2. Suppose -2*n - 3 = n. Let z(v) = -v**2 + v - 1. Let y(l) = n*k(l) - 2*z(l). Factor y(q).
-2*q*(q - 1)
Let n(c) be the third derivative of -c**8/336 - c**7/70 - c**6/120 + c**5/20 + c**4/12 + 5*c**2. Factor n(w).
-w*(w - 1)*(w + 1)**2*(w + 2)
Let a = -16 - -17. Let f be -1*a/(-3)*1. Let 0 - 4/3*l + 0*l**2 - f*l**4 + l**3 = 0. What is l?
-1, 0, 2
Solve -1/2*w**2 + 1/4*w**4 + 1/4 + 1/2*w**3 - 1/4*w - 1/4*w**5 = 0.
-1, 1
Solve 0*j**2 - 4/21*j**3 + 4/21*j - 2/21 + 2/21*j**4 = 0.
-1, 1
Let c = -2 - -7. Suppose 17 = 5*s - t, s + 0*t = -2*t + 10. Factor 0 + 0*k**2 + 4/7*k**s + 2/7*k**c + 2/7*k**3 + 0*k.
2*k**3*(k + 1)**2/7
Let j(f) = f + 9. Let w be j(-4). Let o be (18/5 + -3)*w. Factor -1/4*r**4 - 1/4*r**o + 1/4*r**2 + 0 + 1/4*r.
-r*(r - 1)*(r + 1)**2/4
Factor 2*t**2 + 7 - 325*t + 1 + 315*t.
2*(t - 4)*(t - 1)
Let h(z) be the second derivative of -z**5/20 + z**4/4 + 2*z. Suppose h(d) = 0. Calculate d.
0, 3
Let s(p) be the second derivative of p**9/15120 + p**8/3840 + p**7/5040 - p**6/2880 + p**4/6 + p. Let t(u) be the third derivative of s(u). Factor t(q).
q*(q + 1)**2*(4*q - 1)/4
Suppose 5*o + 5*f - 15 = 0, 0 = -2*o + 2*f + f - 9. Let d(z) be the third derivative of 0*z + o*z**3 + 0 + 0*z**4 + z**2 + 1/180*z**5. Factor d(t).
t**2/3
Suppose -14/9*i - 4/9 + 38/9*i**3 - 14/9*i**4 + 2*i**2 - 8/3*i**5 = 0. What is i?
-1, -1/4, 2/3, 1
Let n = 91 - 89. Let z(h) be the second derivative of 0 + h - n*h**2 - 1/6*h**4 - h**3. Factor z(s).
-2*(s + 1)*(s + 2)
Suppose 0*u = u - 2*r - 9, -4 = r. Let l be u/(-4) - 39/(-12). Factor 0 + 4/11*m**2 - 2/11*m - 2/11*m**l.
-2*m*(m - 1)**2/11
Let u(h) = -15*h**2 + 47*h - 18. Let j(a) = -15*a**2 + 46*a - 19. Let f(n) = 3*j(n) - 4*u(n). Let f(t) = 0. What is t?
1/3, 3
Suppose -2 = 9*u - 2. Let b(x) be the first derivative of 1/2*x**3 - 1 + 0*x**2 + 3/10*x**5 - 3/4*x**4 + u*x. Determine r so that b(r) = 0.
0, 1
Let m(h) be the first derivative of -4*h**5/35 - h**4/7 + 4*h**3/7 + 2*h**2/7 - 8*h/7 - 4. Solve m(y) = 0.
-2, -1, 1
Let c(n) = -3*n - 60. Let s be c(-20). Factor -2/7*d**2 - 1/7*d**3 + 0 + s*d.
-d**2*(d + 2)/7
Let c(x) = 3*x**2 + x + 1. Let s be c(-3). Suppose -2*w + 10 = -r, -2*w - 3*w + r + s = 0. Factor -w*l**2 - 3*l + 4*l**2 + l.
-l*(l + 2)
Find u, given that -35*u**3 - 8*u + 37*u**2 + 10*u**4 - 2*u**2 + 3*u - 5*u = 0.
0, 1/2, 1, 2
Let r be ((-3)/9)/(2/(-6)). Let q be r*0*(-1 - -2). Factor -2 - 2*w**4 - 4*w**3 + 0*w**3 + q*w**3 + 2*w**5 + 2*w + 4*w**2.
2*(w - 1)**3*(w + 1)**2
Let o(q) be the first derivative of 0*q - 4/7*q**3 + 9 + 1/7*q**2. Suppose o(a) = 0. Calculate a.
0, 1/6
Let q(o) be 