0. Calculate w.
0, 1
Suppose -2*x - 4*t + 3 = -1, -2*x + 4 = -4*t. Let j(h) be the second derivative of 1/2*h**x - 1/12*h**4 + 0 + 3*h + 0*h**3. Let j(g) = 0. What is g?
-1, 1
Suppose -g = -3*l - 6, 3*l = -3*g - g + 9. Let s(d) = d**4 - d**2 + d - 1. Let x(a) = 7*a**3 - 7*a**2 - a + 1. Let t(i) = l*s(i) - x(i). Factor t(m).
-m**2*(m - 1)*(m + 8)
Let m(r) = 11*r**5 - 4*r**4 + 20*r**3 - 22*r**2 - 7*r - 6. Let a(v) = -4*v**5 + 2*v**4 - 7*v**3 + 8*v**2 + 2*v + 2. Let o(n) = 8*a(n) + 3*m(n). Solve o(f) = 0.
-2, -1, 1
Let r(x) be the first derivative of -x**6/18 + 2*x**5/3 - 3*x**4 + 58*x**3/9 - 43*x**2/6 + 4*x + 121. Suppose r(y) = 0. What is y?
1, 3, 4
Find j such that 49/3*j**2 - 27/2 - 17/6*j**4 - 1/6*j**5 - 31/3*j**3 + 21/2*j = 0.
-9, -1, 1
Suppose -629*m + 637*m - 16 = 0. Let b(k) be the first derivative of -m*k + k**2 - 1/6*k**3 - 12. Factor b(s).
-(s - 2)**2/2
Let p(g) be the first derivative of -9*g**5/20 + 17*g**4/8 - 19*g**3/12 - 3*g**2/4 + 536. Find l, given that p(l) = 0.
-2/9, 0, 1, 3
Factor -312/5*r + 608/5 + 4/5*r**2.
4*(r - 76)*(r - 2)/5
Let s(z) = -z**2 - 11*z. Let k be s(-10). Determine o so that 54 + 93 + k*o**2 - 64*o - 7*o**2 + 22*o = 0.
7
Let d(q) = -q**2 + 3*q + 3. Let k be d(3). Let s(h) be the second derivative of 0 - 1/36*h**4 + 0*h**3 + 0*h**2 - k*h - 1/60*h**5. Factor s(y).
-y**2*(y + 1)/3
Suppose -4/7*y**3 + 44/7*y**2 + 36/7 - 76/7*y = 0. What is y?
1, 9
Let u(v) = -5*v**2 - 38*v + 96. Let j(p) = 6*p**2 + 36*p - 96. Let y(c) = -2*j(c) - 3*u(c). Determine w, given that y(w) = 0.
-16, 2
Factor 64/3 - 12*o + 2/3*o**2.
2*(o - 16)*(o - 2)/3
Let n be (-4)/(-30) + 19283/165. Let i = n + -467/4. Solve 0 + 1/4*f**2 + i*f = 0.
-1, 0
Let d(s) be the third derivative of s**5/20 + 19*s**4/4 - 39*s**3/2 + 69*s**2. What is u in d(u) = 0?
-39, 1
Let u(d) = -d**2. Let r be 2 + (-1)/1 + 3. Let o(f) = 5*f**2 - 1. Let g(x) = r*u(x) + o(x). Find s such that g(s) = 0.
-1, 1
Let a be -21 + 17 - (53/(-7) - 15/35). Solve -1/5*f**3 + 0 + 0*f + 6/5*f**2 - 6/5*f**a + 1/5*f**5 = 0.
-1, 0, 1, 6
Let t(l) = -l**2 + 8*l + 4. Let c be t(8). Suppose c*h - 3*w = -2*w + 7, -2*h - 3*w = -7. Factor 19 - 4*y**4 + 5*y**3 - 19 + y**5 + 0*y**2 - h*y**2.
y**2*(y - 2)*(y - 1)**2
Let u(k) be the second derivative of 2*k + 0 - 1/480*k**6 + 0*k**2 + 13/6*k**3 - 1/8*k**4 - 1/40*k**5. Let g(l) be the second derivative of u(l). Factor g(w).
-3*(w + 2)**2/4
Suppose -15 = 2*i - 13. Let v(p) = -p**5 + p - 1. Let d(f) = -2*f**5 - f**4 + 3*f**3 + f**2 - f - 1. Let h(x) = i*v(x) + d(x). Factor h(m).
-m*(m - 1)**2*(m + 1)*(m + 2)
Let v(t) = -8*t**3 + 180*t**2 - 528*t + 528. Let l(j) = 3*j**3 - 72*j**2 + 211*j - 211. Suppose 3*d + 17 = 53. Let m(f) = d*l(f) + 5*v(f). Factor m(a).
-4*(a - 3)**3
Let f(u) be the second derivative of -u**5/100 - u**4/60 + u**3/15 + 7*u + 1. Factor f(q).
-q*(q - 1)*(q + 2)/5
Solve 5/3*q**2 + 0 + 5*q**4 + 0*q - 5/3*q**5 - 5*q**3 = 0 for q.
0, 1
Suppose 42*s = 46*s - 56. Suppose 2*p + s = 2*g, -4*g + 16 = -2*p - 4. Find b, given that 18/11 + 4*b**2 + 16/11*b**g + 48/11*b + 2/11*b**4 = 0.
-3, -1
Let h(k) = 10*k**2 - 100*k - 121. Let v(z) = 5*z**2 - 50*z - 61. Let r(u) = -6*h(u) + 11*v(u). Solve r(d) = 0.
-1, 11
Let s(k) = k**3 - 9*k**2 + 4*k + 14. Let g be s(8). Let y = -107/6 - g. Factor -1/6*w**2 + 1/3*w - y.
-(w - 1)**2/6
Suppose 0 = 10*n - 11 - 49. Let l(a) be the first derivative of -4/9*a**3 - 1/6*a**4 + 1/9*a**n + 1/3*a + 0*a**2 + 1/5*a**5 - 1. Factor l(s).
(s - 1)*(s + 1)**3*(2*s - 1)/3
Factor 15*f + 24 + 40 - 3*f**2 + 8.
-3*(f - 8)*(f + 3)
Let n(o) be the second derivative of 2/5*o**5 + 10*o**2 + 42*o + 0 - 43/3*o**3 + 11/6*o**4. Factor n(l).
2*(l - 2)*(l + 5)*(4*l - 1)
Let p be (85/35)/((-18)/21). Let r = 10/3 + p. Suppose r*v - 1/2*v**3 + 1/2*v**2 - 1/2 = 0. Calculate v.
-1, 1
Let o(q) = -2*q + 7. Let l be o(7). Let n be (l/4 + 1/(-4))/(-6). Suppose 0 - n*i**2 - 1/6*i - 1/6*i**3 = 0. What is i?
-1, 0
Factor 11*t**2 - 9*t**2 - 3*t**2 + 1.
-(t - 1)*(t + 1)
Let o(l) = l**3 - l**2 + 6*l - 8. Let f be o(4). Let -64 - 19*u**3 + f*u - 76*u**2 - u**3 - 272*u - 52*u**2 = 0. What is u?
-4, -2, -2/5
Let u be 2 + 1 + (-487)/(-2 + 1). Factor 0*j**4 + 3*j**2 - u*j**5 - 9*j**4 + 484*j**5.
-3*j**2*(j + 1)**2*(2*j - 1)
Let a(c) be the third derivative of 7/20*c**6 + 0 + 0*c**3 - 1/70*c**7 - 12*c**2 - 49/20*c**5 + 0*c + 0*c**4. Let a(b) = 0. Calculate b.
0, 7
Let q be (-2)/4 + 85/34. Suppose -q*v = 2*v - 20. Factor -3*t**v - 3*t + 6*t**3 - 5 - 4 + 9.
-3*t*(t - 1)**2*(t + 1)**2
Factor 29/7*f + 30/7 - 1/7*f**2.
-(f - 30)*(f + 1)/7
Let a(f) = -6*f - 28. Let t be a(-6). Let g(w) = -w**3 + 9*w**2 - 10*w + 16. Let q be g(t). Let 6/7*y + q - 3/7*y**2 = 0. What is y?
0, 2
Let h(y) = -y**2 - 1. Let w be h(1). Let i be 2/(-4) + (-5)/w. What is b in 5 + 3*b + b - 4*b**3 - 5 + 4*b**4 - 4*b**i = 0?
-1, 0, 1
Factor 40*d - d**2 - 187*d**3 + 157*d**3 + 5*d**5 - 19*d**2 + 5*d**4.
5*d*(d - 2)*(d - 1)*(d + 2)**2
Let z be 108/(-24)*4/(-12). Let n = 659/4 - 164. Let -n*d**3 + 3/2*d**2 - z + 3/4*d = 0. What is d?
-1, 1, 2
Let i(s) be the first derivative of 3*s**5/5 - 2*s**3 + 3*s - 170. Factor i(m).
3*(m - 1)**2*(m + 1)**2
Let a(f) be the first derivative of -5*f**3/3 + 10*f**2 - 20*f + 19. Factor a(n).
-5*(n - 2)**2
Let i(z) be the first derivative of -z**4/14 + 16*z**3/21 - 3*z**2 + 36*z/7 - 4. Factor i(v).
-2*(v - 3)**2*(v - 2)/7
Let l(y) = -3*y - 47. Let o be l(-17). Factor -1 - o*t - 5*t**4 + 13*t**4 - 6*t**2 - 4*t**3 - 9*t**4.
-(t + 1)**4
Factor 16/3 + 4/3*n**2 - 20/3*n.
4*(n - 4)*(n - 1)/3
Let k be (3 - -1) + (2 - -15). Suppose 26*u - 10 = k*u. Factor -2/7*a**u + 2/7*a + 0.
-2*a*(a - 1)/7
Let -256/5 + 148/5*r**4 + 4*r**5 + 176/5*r**3 - 896/5*r - 592/5*r**2 = 0. What is r?
-4, -1, -2/5, 2
Let f(k) = -5*k**4 + 30*k**3 - 22*k**2 - 117*k + 183. Let r(q) = q**2 + q + 1. Let j be 57/21 - (-12)/42. Let i(d) = j*r(d) - f(d). Factor i(m).
5*(m - 3)**2*(m - 2)*(m + 2)
Let j(f) be the second derivative of 0 + 11*f + 3/140*f**5 - 1/7*f**4 + 2/7*f**3 + 0*f**2. Determine s, given that j(s) = 0.
0, 2
Let w(o) be the second derivative of -o**5/20 + o**4/3 - o**3/2 + 2*o**2 - 6*o. Let u be w(3). Solve -4*v**4 - 2*v**4 - 2*v**3 + u*v**4 = 0 for v.
-1, 0
Let z(r) be the second derivative of 8/3*r**3 + 8*r**2 + 1/3*r**4 + 0 - 13*r. Find b such that z(b) = 0.
-2
Let w be (55/(-22))/(55/(-2)). Factor -w*f**2 + 0 - 3/11*f.
-f*(f + 3)/11
Let r be (-37800)/(-2016) - 18/1. Let 21/4*z**2 - 12*z - r*z**3 + 9 = 0. What is z?
2, 3
Let l be 6/(-12) + (-38)/(-44). Factor l*u**5 + 0*u**2 + 2/11*u**4 + 0 - 2/11*u**3 + 0*u.
2*u**3*(u + 1)*(2*u - 1)/11
Suppose -28*d + 244 = -24*d. Let c = -365/6 + d. Factor 1/6*g**4 + 1/6*g**3 - c*g**5 + 0 + 0*g - 1/6*g**2.
-g**2*(g - 1)**2*(g + 1)/6
Let g(t) be the first derivative of -2/9*t**3 - 22 - 10/3*t**2 - 50/3*t. Factor g(k).
-2*(k + 5)**2/3
Let c(u) be the second derivative of -u**6/36 - 13*u**5/120 - u**4/18 + u**3/9 + 401*u. Factor c(t).
-t*(t + 1)*(t + 2)*(5*t - 2)/6
Let l be (-8 - -14)*(-2)/(-3). Factor -11*d**3 + 7*d**3 + 0*d**l + 2*d**2 + 2*d**4.
2*d**2*(d - 1)**2
Factor 2/3*i**4 - 10/3*i**2 + 4/3*i - 2/3*i**5 + 0 + 2*i**3.
-2*i*(i - 1)**3*(i + 2)/3
Let w(m) be the third derivative of m**5/150 - 7*m**4/30 + 13*m**3/15 - 18*m**2. Suppose w(f) = 0. What is f?
1, 13
Let a(r) be the first derivative of -r**4/4 - r**2 - 2*r - 6. Let o be a(-1). Determine z, given that -4*z**3 + 3*z - z**2 + z**3 + 4*z**2 + o + 4*z**3 = 0.
-1
Suppose 4*d = 298 - 122. Suppose -41*t = -d*t + 9. Factor 4/3 + 5/3*y**2 - 8/3*y - 1/3*y**t.
-(y - 2)**2*(y - 1)/3
Let s(y) = -36*y**2 + 1452*y + 22. Let q(o) = 5*o**2 - 207*o - 3. Let v(u) = -44*q(u) - 6*s(u). Find x, given that v(x) = 0.
0, 99
Let c(p) be the third derivative of 0 + 1/360*p**6 + 4/9*p**3 - 1/18*p**5 + 2/315*p**7 - 17*p**2 + 1/1008*p**8 - 1/18*p**4 + 0*p. Find w such that c(w) = 0.
-2, 1
Let m = -1237 + 9903/8. Let q(p) be the third derivative of -7*p**2 + p**3 + 3/10*p**5 - 1/35*p**7 + 0 + m*p**4 + 0*p - 1/40*p**6. Solve q(x) = 0 for x.
-1, -1/2, 2
Let w be -1*(-4)/5*145/58. Factor 1/4 + 1/4*p**w - 1/2*p.
(p - 1)**2/4
Factor -19208 - 2124*f - f**3 - 2409*f - 198*f**2 - 5463*f.
-(f + 2)*(f + 98)**2
Let a(q) = 2*q**4 - 10*q**3 - 17*q**2 + 40*q - 62. Let j(n) = n**4 - 5*n**3 - 7*n**2 + 20*n - 30. Let v(y) = 6*a(y) - 14*j(y