+ 0 + 1/28*q**4. Suppose y(n) = 0. Calculate n.
-2, -1, 1
Determine l so that -138/7*l - 4/7*l**2 + 288/7 + 6/7*l**3 = 0.
-16/3, 3
Let l(t) be the second derivative of -t**5/40 + 11*t**4/24 - 3*t**3 + 9*t**2 - 13*t. Factor l(f).
-(f - 6)*(f - 3)*(f - 2)/2
Let d be (33/18)/1 - (-1)/6. Let k(x) = x. Let h be k(2). Solve u**4 - d*u**2 - 2*u**h + 1 + 3*u**2 - u**2 = 0 for u.
-1, 1
Let q = -120840/23 - -5254. Suppose -q*p**4 - 2/23*p**3 + 0*p + 0 + 0*p**2 = 0. Calculate p.
-1, 0
Let c(f) = -5*f**4 - 3*f**3 + 28*f**2 + 20*f - 42. Let s(m) = 10*m**4 + 5*m**3 - 55*m**2 - 40*m + 85. Let b(r) = 5*c(r) + 2*s(r). Factor b(i).
-5*(i - 2)*(i - 1)*(i + 2)**2
Suppose -10 = -5*l, -h + 4*l - 21 = -16. Let i(d) be the third derivative of -2/3*d**h + 12*d**2 + 11/12*d**4 + 0 + 0*d - 3/10*d**5. Solve i(g) = 0.
2/9, 1
Let u(j) be the first derivative of 0*j + 1/5*j**3 - 41 + 6/5*j**2. Suppose u(c) = 0. What is c?
-4, 0
Let m(s) = s**2 + 7*s - 27. Let q be m(-10). Factor -28*j**2 - 8*j - 10*j**q - 16*j**2 - 7*j + 9*j**2.
-5*j*(j + 3)*(2*j + 1)
Let x(q) = q + 16. Let l be x(8). Suppose 3*o - 3*o**2 - 2*o**4 + 5*o**4 - l*o**3 + 21*o**3 = 0. Calculate o.
-1, 0, 1
Let m(b) be the second derivative of b**5/20 - b**4/6 + b**3/6 + 11*b. Let y be m(2). Solve -2/11*o**y + 4/11*o + 0 = 0 for o.
0, 2
Let i = 26 + -22. Suppose 12 = i*z + r, 0 = -3*z - z - 3*r + 12. Solve -2/5*v + 2/5*v**z + 4/5 - 4/5*v**2 = 0 for v.
-1, 1, 2
Let d be (-9)/12 - (-2)/2. Let j be (-11)/(1452/(-57)) - (-42)/(-231). Solve d*p**3 + 0*p + 0 + j*p**2 = 0 for p.
-1, 0
Let w(i) = -i**2 - 6*i - 1. Let d = 20 - 18. Let m(q) = 1 + q**2 - q**2 + q**2. Let k(l) = d*m(l) - w(l). What is t in k(t) = 0?
-1
Let i(t) = 4*t**2 - 240*t + 3597. Let c(u) = -44*u**2 + 2640*u - 39568. Let h(d) = -3*c(d) - 32*i(d). Factor h(g).
4*(g - 30)**2
Suppose 0 = -55*b + 43*b. Let a(y) be the third derivative of 3/2*y**3 + 1/60*y**5 - y**2 + 0 + 1/4*y**4 + b*y. Determine x, given that a(x) = 0.
-3
Let a be -6*(0 + -4)/8. Determine g, given that 12*g**3 + 9 + 17*g**a + 3*g - 40*g**3 - 5*g**2 + 12*g**3 = 0.
-1, 3
Let u be 3 + 12/(-2) + 5. Factor -3*j**2 - j**u - 3 - j + 4 + 2*j**2.
-(j + 1)*(2*j - 1)
Factor 1/3*l**2 - 3 + 8/3*l.
(l - 1)*(l + 9)/3
Let i be (-6)/(-15) - 54/(-15). Suppose 0 - 8 = -i*c. Determine w, given that 9*w**2 + 3*w**3 + w**3 + 4*w - 4*w**2 + 5*w**c = 0.
-2, -1/2, 0
What is c in 0 - 9/4*c**2 - 3/4*c**3 + 1/4*c**4 - 5/4*c = 0?
-1, 0, 5
Let t(s) be the first derivative of -5*s**6/18 + s**5/3 + 5*s**4/6 - 10*s**3/9 - 5*s**2/6 + 5*s/3 - 68. Factor t(r).
-5*(r - 1)**3*(r + 1)**2/3
Let c = -41 - -53. Factor -4*l + 1 + c*l**2 - 9 + 4 - 4.
4*(l - 1)*(3*l + 2)
Let w be -1 - 2 - (-1*28)/4. Factor l**2 + w + l - 1 - 3 - 1 - l**3.
-(l - 1)**2*(l + 1)
Factor 216/5*x + 212/5 + 4/5*x**2.
4*(x + 1)*(x + 53)/5
Let -165/2*i**3 + 90*i**2 - 35/2*i + 0 + 10*i**4 = 0. Calculate i.
0, 1/4, 1, 7
Let g(f) be the second derivative of -f**5/110 - 49*f**4/22 - 2401*f**3/11 - 117649*f**2/11 - 18*f + 1. Factor g(s).
-2*(s + 49)**3/11
Factor -1/3*q**2 + 4/3*q + 0.
-q*(q - 4)/3
Let o = 28812/31669 - 2/2879. Factor 2/11*g**3 + 4/11 + 8/11*g**2 + o*g.
2*(g + 1)**2*(g + 2)/11
Let p(d) be the first derivative of -d**5/300 - d**4/30 - d**3/10 + 2*d**2 - 5. Let q(g) be the second derivative of p(g). Let q(s) = 0. What is s?
-3, -1
Suppose 0 = 2*h, 0 = -5*d + 4*d + 3*h + 3. Let z(k) = 2*k**2 - 4*k - 1. Let m be z(d). Determine y so that -3*y**3 - y + 0 - m*y - 9*y**2 + 0 = 0.
-2, -1, 0
Let r be 2/25 + 2236/4300. Let k(y) = y**2 + 2*y + 1. Let h be k(-1). Find t such that h*t**2 - 1/5*t**3 + r*t - 2/5 = 0.
-2, 1
Let x be 18/14 + (-9)/(225/25). Determine k, given that x*k**3 + 0 + 2/3*k**2 - 4/7*k = 0.
-3, 0, 2/3
Let -536 + 0*v**3 - 535 + 1071 - 50*v - 55*v**2 - 5*v**3 = 0. Calculate v.
-10, -1, 0
What is t in -4/9*t**5 + 4/9*t**3 - 14/9*t**4 + 26/9*t**2 + 0 - 4/3*t = 0?
-3, -2, 0, 1/2, 1
Suppose 0 = -3*u + 7*u. Suppose u = q - 4 - 1. Factor -a**4 + 4*a**2 - 16 - 23*a**4 + 16 + 6*a**3 + 14*a**q.
2*a**2*(a - 1)**2*(7*a + 2)
Let o(y) = 4*y**2 - 4*y - 3. Let b(g) = -g**2 + 2*g + 2. Let a(d) = 15*b(d) + 3*o(d). Factor a(k).
-3*(k - 7)*(k + 1)
Let j(c) be the first derivative of -c**5/240 + c**3/24 - 7*c**2 + 4. Let t(x) be the second derivative of j(x). Suppose t(p) = 0. Calculate p.
-1, 1
Let r(d) be the first derivative of d**3/6 + 19*d**2/4 - 21*d + 3. Let r(l) = 0. Calculate l.
-21, 2
Factor -2/3*q**2 + 0 + 0*q.
-2*q**2/3
Let m(y) be the third derivative of y**7/1050 - y**6/300 - y**5/100 + y**4/30 + 2*y**3/15 - 429*y**2. Factor m(h).
(h - 2)**2*(h + 1)**2/5
Suppose -8 = 3*u + 4*z - 1, 0 = -4*u - 4*z - 8. Let i(m) = 4*m**2 - 7*m + 3. Let k(t) = t**2 - t. Let d(y) = u*i(y) + 3*k(y). Factor d(o).
-(o - 3)*(o - 1)
Suppose 614*p + 76 = 652*p. What is u in -7/3*u + 2/3 + 3*u**p + 1/3*u**4 - 5/3*u**3 = 0?
1, 2
Suppose 6*c + 0*c = -12. Let f be (24/84)/(c/(-14)). What is y in 6*y**3 + 3*y**4 - 4*y**2 - y**f - y**2 + 3 - 3*y - 3*y**5 = 0?
-1, 1
Let y = 8646 + -8642. Let o(d) = d**2 - 3*d - 1. Let l be o(4). Suppose 5/6*p**2 + 1/6*p + 1/2*p**l - 2/3*p**5 - 5/6*p**y + 0 = 0. What is p?
-1, -1/4, 0, 1
Let s be 18/4*384/432. Let w(h) be the second derivative of -1/24*h**s + 0 - 1/20*h**5 - 2*h - 1/8*h**2 + 1/6*h**3 + 1/40*h**6. Factor w(v).
(v - 1)**2*(v + 1)*(3*v - 1)/4
Let d(n) = n**5 - n**4 + n**3 + n**2 + 1. Let r(u) = 5*u**5 - 28*u**4 + 27*u**3 - 8*u**2 - 2. Let v(t) = -6*d(t) - 3*r(t). What is h in v(h) = 0?
0, 2/7, 1, 3
Let a(u) be the first derivative of u**5/60 + 7*u**4/12 + 49*u**3/6 - 9*u**2 + 3. Let w(d) be the second derivative of a(d). Factor w(o).
(o + 7)**2
Let u(g) be the second derivative of -g**4/6 + g**3/3 - 15*g + 5. Determine q so that u(q) = 0.
0, 1
Let h(s) be the second derivative of s**6/40 + s**5/4 + s**4/2 + 18*s**2 + 42*s. Let l(q) be the first derivative of h(q). Factor l(t).
3*t*(t + 1)*(t + 4)
Let v(q) be the first derivative of q**4/6 + 2*q**3/3 - 20*q + 9. Let n(l) be the first derivative of v(l). What is g in n(g) = 0?
-2, 0
Let b(y) = -5*y**2 + 18*y - 13. Let l(a) = 10*a**2 - 35*a + 25. Let g(t) = -5*b(t) - 3*l(t). Let g(r) = 0. Calculate r.
1, 2
Let k be 1*(-1)/(-2)*20/2. Suppose -2*i + 43 = k*n, 0 = -i - 4*n + 44 - 18. Factor 0 + 64/7*o**3 + 0*o + 8/7*o**2 + i*o**5 + 22*o**4.
2*o**2*(o + 1)*(7*o + 2)**2/7
Let w(a) be the second derivative of 0 + 0*a**3 + 0*a**2 - 1/18*a**4 + 1/30*a**5 + 11*a. Solve w(k) = 0.
0, 1
Let f(l) be the second derivative of -2*l**6/15 + 3*l**5/5 + 2*l**4/3 - 8*l**3 + 16*l**2 + l + 31. Determine n so that f(n) = 0.
-2, 1, 2
Let s be (-10)/4*18/15. Let u be -3*(s + (-21)/(-9)). Factor 1 + 4*t - u*t**2 - 4*t**2 - t**4 - 2 + 0 + 4*t**3.
-(t - 1)**4
Factor -65*n - 59*n + 24 - 61*n + 229*n - 3*n**2 - 65*n.
-3*(n - 1)*(n + 8)
Let a be ((-6)/(-12))/(1/(-6)) - -7. Let c = 8 - a. Solve 2/3*h**2 - 2/3*h**3 + 0 + 2/9*h**c - 2/9*h = 0 for h.
0, 1
Let q(x) be the third derivative of 9/50*x**6 + 0*x**3 + 0*x - 1/50*x**5 - 32*x**2 + 9/175*x**7 - 1/10*x**4 + 0. Solve q(w) = 0 for w.
-2, -1/3, 0, 1/3
Let v = 1199/3 - 399. Solve -8/9*g**4 + 2/9*g**3 + 4/9*g**2 - v*g**5 + 0 + 0*g = 0 for g.
-1, 0, 2/3
Let g be (100/(-112) - -1)*(-13 - -20). Determine l, given that l + g*l**2 + 1/4*l**4 - 1 - l**3 = 0.
-1, 1, 2
Let k(j) be the second derivative of 4*j**4/3 + 26*j**3/3 + 6*j**2 + 17*j - 1. Factor k(x).
4*(x + 3)*(4*x + 1)
Suppose -4*y - 1 + 13 = 0. Suppose -3*g + g = -y*w + 22, -g + 15 = 5*w. Factor 0*h**3 + w*h**3 - h**3 - 6*h**3.
-3*h**3
Let a(p) be the third derivative of -p**6/120 + 7*p**5/60 - p**4/4 - p**2 - 2. Let a(t) = 0. Calculate t.
0, 1, 6
Let j(g) be the first derivative of -g**7/126 + g**6/45 - g**4/18 + g**3/18 - 11*g + 12. Let d(u) be the first derivative of j(u). Factor d(t).
-t*(t - 1)**3*(t + 1)/3
Let n(k) be the first derivative of 54*k**5/5 - 6*k**3 - 2*k**2 - 284. Factor n(j).
2*j*(3*j - 2)*(3*j + 1)**2
Let w be 893/(-1645) + 8/7. What is p in 0*p**2 + 3/5*p**4 + 6/5*p - 6/5*p**3 - w = 0?
-1, 1
Determine s so that 29/4*s**3 + 0*s**4 - s - 25/4*s**5 + 0 + 0*s**2 = 0.
-1, -2/5, 0, 2/5, 1
Let y(k) be the second derivative of k**6/6 - 3*k**5/2 + 55*k**4/12 - 5*k**3 + k + 32. Determine f, given that y(f) = 0.
0, 1, 2, 3
Let k(c) be the second derivative of -c**6/30 - 11*c**5/40 - 7*c**4/8 - 17*c**3/12 