et j be (-6 + 4)*192/(-240). Factor -2/5*s**2 + 0*s + j.
-2*(s - 2)*(s + 2)/5
Let q(d) = -d**3 - 4*d**2 - 4*d - 13. Let z be q(-4). Factor -4*y**4 - 3*y**4 + 9*y**4 + 24*y**2 - 12*y**z - 16*y.
2*y*(y - 2)**3
Let j be ((-165)/(-55))/(3 - 2). Suppose -2/3 + 11/3*d**2 + j*d = 0. Calculate d.
-1, 2/11
Suppose 8*p - 209 = -41. Suppose 3*w + p = 21. What is d in 4/3*d**4 - 2/3*d**3 + 0*d + w*d**2 - 2/3*d**5 + 0 = 0?
0, 1
Let z be ((-3)/(-2))/(6/12). Factor 0 + 0*v**z + 2/5*v - 4/5*v**4 + 4/5*v**2 - 2/5*v**5.
-2*v*(v - 1)*(v + 1)**3/5
Let x = 17 + -7. Let g = x + -17/2. Factor l**3 + g*l**2 + 1/4 + l + 1/4*l**4.
(l + 1)**4/4
Suppose 16/3 - 8/9*b**5 - 10/9*b**4 - 308/9*b**2 + 104/9*b + 58/3*b**3 = 0. What is b?
-6, -1/4, 1, 2
Let p(g) = 20*g**3 - 12*g**2 + 6*g + 10. Let q(m) = -8 + m**2 - 8 + 15 + 0*m - m - m**3. Let k(v) = p(v) + 12*q(v). Factor k(y).
2*(y - 1)*(2*y + 1)**2
Let b(c) be the third derivative of -c**6/180 + 20*c**5/9 - 2500*c**4/9 + 726*c**2. Factor b(l).
-2*l*(l - 100)**2/3
Determine o so that -3887/2*o - 611*o**2 + 215*o**3 - 2197/2 - 37/2*o**4 + 1/2*o**5 = 0.
-1, 13
Let i(t) be the first derivative of -4*t**5/5 + 4*t**4 - 4*t**3 - 8*t**2 + 16*t - 146. Let i(r) = 0. What is r?
-1, 1, 2
Let f = -5 - -7. Suppose 5*c - 20 = -0. Factor -g**3 - g**c - f*g**3 + g + g**2 + 2*g**3.
-g*(g - 1)*(g + 1)**2
Let k = -586 - -588. Suppose 0 = 3*o - c - 2, -6*o = -o + 3*c - 22. Factor -n**k + 6*n - 8*n**o + n**4 + 2*n**4 + 0*n**4.
3*n*(n - 1)**2*(n + 2)
Let q(n) be the third derivative of 0*n**6 - 5/336*n**8 + 0*n**4 - 1/42*n**7 + 0*n**5 + 0 + 0*n**3 - 13*n**2 + 0*n. Suppose q(f) = 0. Calculate f.
-1, 0
Let n = 213 + -209. Let d(v) be the second derivative of 0 + 5/24*v**4 + 0*v**2 + n*v + 11/40*v**5 - 1/6*v**3 + 1/15*v**6. Factor d(i).
i*(i + 1)*(i + 2)*(4*i - 1)/2
Let a be (-4)/48*(-5 + (-6976)/16). Determine n, given that 3/4*n**4 + 117/2*n**2 + a - 12*n**3 - 84*n = 0.
1, 7
Let p(m) be the first derivative of -2*m**3 + 0*m**2 + 0*m + 9 + 9/4*m**4 + 3*m**5. What is l in p(l) = 0?
-1, 0, 2/5
Let y(t) = -t**3 + 5*t**2 - 13*t + 67. Let g be y(5). Determine c, given that 9/7 + 6/7*c + 1/7*c**g = 0.
-3
Suppose -2*x + 1 = -4*g - 7, -8*x - 5*g = 10. Factor 0*q**4 - 2/3*q**2 + x - q**3 + 0*q + 1/3*q**5.
q**2*(q - 2)*(q + 1)**2/3
Let j(n) be the third derivative of n**8/896 - 13*n**7/1680 + n**6/120 + n**5/20 - 4*n**4/3 - 49*n**2. Let m(y) be the second derivative of j(y). Factor m(h).
3*(h - 2)*(h - 1)*(5*h + 2)/2
Let j(l) be the third derivative of l**7/1890 - l**6/540 + l**4/24 + 3*l**2. Let m(z) be the second derivative of j(z). Solve m(f) = 0 for f.
0, 1
What is f in 72*f**3 + 20*f**2 - 4*f**5 + 95*f**3 - 40*f - f**5 - 5*f**4 - 137*f**3 = 0?
-2, 0, 1, 2
Suppose 561*w = 552*w + 27. Let r(l) be the first derivative of 6 + 1/4*l - 7/12*l**w - 3/4*l**2. Let r(g) = 0. Calculate g.
-1, 1/7
Let f(u) be the third derivative of 6 - 1/120*u**4 - u**2 + 1/600*u**6 - 1/300*u**5 + 0*u + 1/1050*u**7 + 0*u**3. Let f(j) = 0. Calculate j.
-1, 0, 1
Suppose 218 = 5*h - 8*x + 4*x, -3*h - 3*x + 147 = 0. Solve -66*s**2 + 9*s**3 - 29*s**3 + 20*s**4 + 24*s - 4*s**5 + h*s**2 = 0 for s.
-1, 0, 1, 2, 3
Let x(f) be the first derivative of f**6/72 + 5*f**5/24 + 5*f**4/6 - f**3 + 12. Let h(k) be the third derivative of x(k). Factor h(m).
5*(m + 1)*(m + 4)
Let i(b) be the third derivative of -b**8/168 + b**7/105 + b**6/60 - b**5/30 - b**2 - 7*b. Determine c so that i(c) = 0.
-1, 0, 1
Suppose h - 108 = -2*s, -h - 5*s = -131 + 23. Factor -h*n - 3*n**5 + 111*n + 6*n**5 - 6*n**3.
3*n*(n - 1)**2*(n + 1)**2
Let r(w) = 4*w**2 + 3*w - 6. Let i(t) = t**2 + 4. Let o(c) = 3*i(c) - r(c). Factor o(l).
-(l - 3)*(l + 6)
Let r = 226 - 222. Let z(q) be the first derivative of -2/3*q**3 + 6 - 1/3*q**6 - 6/5*q**5 - 3/2*q**r + 0*q**2 + 0*q. Factor z(f).
-2*f**2*(f + 1)**3
Let w(j) be the first derivative of j**6/27 + 14*j**5/45 + 7*j**4/9 + 4*j**3/27 - 5*j**2/3 - 2*j - 406. Let w(p) = 0. What is p?
-3, -1, 1
Let f(q) = -q**3 + q**2 - q. Let v(i) = 2*i**4 + 4*i**3 - 6*i**2 + 10*i. Let n(w) = 10*f(w) + v(w). Determine x, given that n(x) = 0.
0, 1, 2
Let p(n) = 5*n**3 - 6*n**2 + 7*n + 2. Let q(d) = -d**3 + d**2 - 2*d. Let w(t) = 5*p(t) + 20*q(t). Let w(k) = 0. Calculate k.
-1, 1, 2
Suppose 2*r = -8*s + 13*s - 2, 2*r = s - 2. Let c(f) be the second derivative of 9*f + s + 3/20*f**5 + 0*f**2 - 3/4*f**4 + f**3. Factor c(l).
3*l*(l - 2)*(l - 1)
Let n(i) = -13*i - 124. Let w be n(-10). Let k(l) be the first derivative of -4/5*l**5 - 2/3*l**w + 2*l**4 + 8/3*l**3 - 4*l + 1 - 2*l**2. Factor k(a).
-4*(a - 1)**2*(a + 1)**3
Let n(j) be the second derivative of 2*j**4/21 + 305*j**3/21 + 76*j**2/7 + 246*j. Let n(z) = 0. What is z?
-76, -1/4
Let i = 11813/7086 + -1/2362. Find l, given that 5/6*l**2 + i*l + 0 = 0.
-2, 0
Let b = -16 + 26. Let p be (-93)/(-105) - 6/b. Factor -p*h**2 + 4/7*h + 0.
-2*h*(h - 2)/7
Suppose 9/5*s**2 - 66/5*s**3 + 129/5*s**4 - 36/5*s**5 + 0*s + 0 = 0. Calculate s.
0, 1/4, 1/3, 3
Let f(z) be the second derivative of 0*z**2 - 16*z + 0*z**3 + 0 - 1/30*z**4. Find c, given that f(c) = 0.
0
Let m(a) be the first derivative of -a**4/132 - a**3/22 + 34*a + 17. Let v(b) be the first derivative of m(b). Factor v(u).
-u*(u + 3)/11
Suppose 5 = i - 0*i. Determine j so that 97 + 126*j**3 + 215 - 162*j**2 - 81*j + 3*j**i - 33*j**4 - 69 = 0.
-1, 3
Let m be (-42)/12*2/1. Let h = m + 9. Factor 2*i**3 + 5*i**h + i**2 + 12*i + 10*i**2 + 2*i**3.
4*i*(i + 1)*(i + 3)
Let b(o) = -8*o**2 + 238*o - 219. Let u(k) = 4*k**2 - 120*k + 110. Let r(p) = -6*b(p) - 11*u(p). Factor r(z).
4*(z - 26)*(z - 1)
Let f = -49 - -50. Let t(k) = -k**2 + 5*k - 4. Let j(l) = -l**2 + 1. Let x(q) = f*t(q) + 4*j(q). Factor x(y).
-5*y*(y - 1)
Factor -5 - 14*m**3 - 11*m**3 - 1 + 0*m**2 - 2*m**2 + 10*m + 23*m**3.
-2*(m - 1)**2*(m + 3)
Let q(y) be the second derivative of -y**6/30 + y**5/5 + 13*y**4/4 + 9*y**3 + 28*y + 8. Determine x, given that q(x) = 0.
-3, -2, 0, 9
Let b = 134 - 134. Let u(r) = -7*r - 40. Let f be u(-6). Find l, given that 4*l**3 - 2/3*l**5 - 16/3*l**2 + b + f*l + 0*l**4 = 0.
-3, 0, 1
Let s(b) = -7*b**3 - 12*b**2 - 220*b + 229. Let f(m) = -3*m**3 - 6*m**2 - 105*m + 114. Let r(h) = 13*f(h) - 6*s(h). Let r(p) = 0. What is p?
-4, 3
Let o = -437 - -440. Let g(h) be the first derivative of -5/2*h**2 - h - 8/3*h**o - h**4 - 8. Determine w, given that g(w) = 0.
-1, -1/2
Let r = -64 + 64. Find p, given that r*p - 2*p + 4*p**2 + 2*p - 4*p = 0.
0, 1
Let r(z) be the first derivative of z**7/105 - z**6/60 - z**5/10 + z**4/12 + 2*z**3/3 + 9*z**2 - 19. Let d(j) be the second derivative of r(j). Factor d(u).
2*(u - 2)*(u - 1)*(u + 1)**2
Suppose -2*w - 13 - 17 = -2*z, -2*w + 22 = 2*z. Suppose z*a = 16*a. Factor 0*b**2 + 2*b**5 + 2*b**3 - 2*b**4 - 2*b**4 + a*b**2.
2*b**3*(b - 1)**2
Let o be -5 - (0/5 - (-7 - 372/(-30))). Factor p**3 - p - 2/5 + o*p**2.
(p - 1)*(p + 1)*(5*p + 2)/5
Let t(n) be the third derivative of -n**5/420 - 71*n**4/168 - 3*n**2 + 140*n. Find s, given that t(s) = 0.
-71, 0
Let q = 29671/24705 + -5/4941. Determine v, given that 118/5*v**3 - 46/5*v**4 + q*v**5 + 36/5*v + 0 - 114/5*v**2 = 0.
0, 2/3, 1, 3
Let q be 1 + 4 + 0 + -1. Suppose 2*p + q = 3*c, -p - 9 = -7*c + 2*c. Factor 0*g**3 + 2*g**2 + c*g**4 - 6*g + 2*g**3 - 3 - 1 + 4*g**3.
2*(g - 1)*(g + 1)**2*(g + 2)
Suppose -106*r**2 + 86*r**2 + 7*r**3 - 96*r + 9*r**3 - 6*r**5 + 4*r**5 + r**5 - 64 + 3*r**4 = 0. What is r?
-2, -1, 4
Let i(h) = 3*h**3 + 3*h**2 - 6*h - 6. Let f(w) = -w**2 - w - 1. Suppose 3*t - 3*s - 3 = 0, -18 = t - 5*s + 1. Let y(v) = t*f(v) - i(v). Solve y(m) = 0.
-3, 0
Let w(y) be the second derivative of -y**7/105 + y**6/20 - 3*y**5/50 - y**4/30 + 3*y - 4. Find n, given that w(n) = 0.
-1/4, 0, 2
Suppose 187*d + 37*d - 106 = 790. Suppose -64/5 - 4/5*j**d + 32*j + 8*j**3 - 132/5*j**2 = 0. What is j?
1, 4
Let v(f) be the first derivative of f**4/4 - 47*f**3/3 + 45*f**2 - 954. Suppose v(l) = 0. What is l?
0, 2, 45
Let d(u) = -4*u + 6. Let n(v) = -2. Let c(s) = -2*d(s) - 10*n(s). Let w be c(-1). Find b, given that -1/6*b**5 + 1/6*b**3 + 0 + 0*b + w*b**4 + 0*b**2 = 0.
-1, 0, 1
Let j = 181957/5 + -36389. Factor -12/5*r + 3/5*r**2 - 3/5*r**4 + j*r**3 + 0.
-3*r*(r - 4)*(r - 1)*(r + 1)/5
Suppose 108 - 48*p**2 - p**5 + 18*p**2 + 8*p**3 - 15*p**2 - 3*p**3 + 2*p**4 + 3*p*