 + 0 - 12/5*b**2 - 2/5*b**3 = 0. Calculate b.
-3, 0
Suppose 3 = -c + 3*a - 7, -c = 2*a - 10. Factor -3*d**4 + 16*d**2 + 2*d**4 + d**3 - 14*d**c.
-d**2*(d - 2)*(d + 1)
Suppose 0 = 5*z - 15 - 0. Suppose -z*h + 8 = -f, 5*f - 4*f - h = 0. Determine g, given that -41*g + 49*g + 3*g**f - 7*g**4 - 8*g**3 + 4*g**2 = 0.
-2, -1, 0, 1
Let m = -215 + 217. Let f(y) be the second derivative of -4*y - m*y**3 - 1/4*y**4 - 6*y**2 + 0. Factor f(p).
-3*(p + 2)**2
Let f(a) = -6*a**2 + 19*a - 3. Let x(o) = 0*o - 9*o + 8*o - o**2. Let r(c) = f(c) + 5*x(c). Determine u, given that r(u) = 0.
3/11, 1
Let q = 7/993964 - -102750073/135676086. Let v = q + -2/273. Solve -3*p + v*p**2 + 3 = 0.
2
Factor 16*t**2 - 5*t**4 + 5*t**3 + 4*t**5 - 17*t**3 - 7*t**4 + 8*t**3 - 4*t**2.
4*t**2*(t - 3)*(t - 1)*(t + 1)
Suppose -2*f + 13 = 9. Factor 1 - 5 - 3*c**2 - 16*c - 18*c**f - 9*c**3.
-(c + 1)*(3*c + 2)**2
Factor 0 - 3/5*z**2 - 6/5*z.
-3*z*(z + 2)/5
Suppose 72/11*x**2 - 12/11*x**4 + 54/11*x + 0 + 6/11*x**3 = 0. Calculate x.
-3/2, -1, 0, 3
Let n be ((-25)/(-20) + -2)*(-40)/900. Let y(w) be the third derivative of -1/60*w**6 + 1/12*w**4 + 1/3*w**3 - n*w**5 + 0*w + 0 + 10*w**2. Factor y(k).
-2*(k - 1)*(k + 1)**2
Suppose 255*i**3 + 5 - 21 - 12*i**2 + 24*i - 253*i**3 = 0. Calculate i.
2
Let g(x) = -770*x**2 - 505*x + 130. Let k(b) = -35*b**2 - 23*b + 6. Let q(n) = -2*g(n) + 45*k(n). Factor q(d).
-5*(d + 1)*(7*d - 2)
Let p(m) = 7*m - 2. Suppose -2*x - 4 = -3*u + u, 0 = 3*x - 2*u + 3. Let y be p(x). Let i**4 + 4*i**2 - 5*i**4 + 0*i + 2*i**y - 2*i = 0. What is i?
-1, 0, 1
Let m(n) be the first derivative of -5*n**6/6 - n**5 + 5*n**4/4 + 5*n**3/3 + 60. Factor m(q).
-5*q**2*(q - 1)*(q + 1)**2
Let x(w) = -w - 4. Let v be x(-4). Suppose -31*g + 30*g = 2*f - 1, 0 = -8*f - 5*g - 1. Suppose -2/9*h**2 + v*h**f + 0 + 0*h + 2/9*h**4 = 0. What is h?
-1, 0, 1
Let a = -10 - -12. Suppose -2*f + 16 = -f - 2*m, 0 = 2*f - a*m - 26. Solve -2*g**2 + 2*g - 3*g - f*g**3 + 9*g**3 = 0 for g.
-1, 0
Suppose 1105 = 458*c - 727. Let 4/21*s**c + 0*s**2 - 2/21*s**3 + 0 + 0*s - 2/21*s**5 = 0. What is s?
0, 1
Let q(w) be the first derivative of w**4/4 - 28*w**3/3 + 221*w**2/2 - 338*w + 952. Factor q(u).
(u - 13)**2*(u - 2)
Let x(f) be the first derivative of f**5/120 - f**4/144 + 8*f**2 + 15. Let w(d) be the second derivative of x(d). Let w(t) = 0. What is t?
0, 1/3
Let t be (-1)/2*(-4 + -10). Let f(y) be the first derivative of -2/3*y**3 + 1/2*y**2 + t + 0*y - 3/4*y**4. Factor f(d).
-d*(d + 1)*(3*d - 1)
Factor -3400*o**3 + 57 + 23*o**2 + 1697*o**3 + 1702*o**3 - 79*o.
-(o - 19)*(o - 3)*(o - 1)
Let h(b) = 18*b + 74. Let v be h(-4). Factor 0 + 2/9*s**5 - 16/9*s + 4/3*s**3 + 10/9*s**4 - 8/9*s**v.
2*s*(s - 1)*(s + 2)**3/9
Let k(n) be the third derivative of n**7/280 - n**6/240 - n**5/60 + n**4/48 + n**3/24 - 3*n**2 + 2. Let k(z) = 0. What is z?
-1, -1/3, 1
Let m(n) be the first derivative of -2/25*n**5 - 1/10*n**4 + 0*n**2 + 0*n + 15 + 4/5*n**3. Suppose m(h) = 0. What is h?
-3, 0, 2
Let n(l) = 3*l**2 - 1. Let d be n(-1). Suppose -3*h - d*h = -90. Factor -2*k + 9*k**4 + 4 + h*k**2 + 5 + 28*k**2 + 48*k**3 - 46*k.
(k + 3)**2*(3*k - 1)**2
Let w = -141 - -145. Let n(i) be the first derivative of 2/5*i**w - 4/5*i**3 - 2/5*i - 2 + 4/5*i**2 - 2/25*i**5. Find x such that n(x) = 0.
1
Let n(u) = -14*u**5 - 49*u**4 - 43*u**3 - 15*u**2 - 2*u. Let w(m) = -7*m**5 - 24*m**4 - 22*m**3 - 8*m**2 - m. Let a(z) = 2*n(z) - 5*w(z). Factor a(d).
d*(d + 1)**3*(7*d + 1)
Let k be 2*((-5)/(-2) + -1). Suppose k*n - 9 = 2*b + b, 11 = 5*n - b. Factor -f**4 - 3*f**3 - f**4 - f + 0*f**3 - 3*f**n + f**4.
-f*(f + 1)**3
Let k(j) = -6*j**2 + 9*j + 111. Let i(s) = 7*s**2 - 10*s - 113. Let n(x) = 3*i(x) + 4*k(x). Solve n(f) = 0 for f.
-5, 7
Let d be (-1 - -2) + -20 - -3. Let h(c) = -10*c**3 - 26*c**2 - 16*c. Let x(a) = 2*a**3 + 5*a**2 + 3*a. Let k(p) = d*x(p) - 3*h(p). Find f such that k(f) = 0.
-1, 0
Let i(f) = 1. Let k(y) be the second derivative of -4*y**4/3 - 6*y**3 - 11*y**2/2 + 13*y. Let z(u) = -3*i(u) - k(u). Factor z(d).
4*(d + 2)*(4*d + 1)
Let z = -2277 + 20495/9. Let -10/9*d**3 + 16/9*d + z*d**2 + 2/9*d**5 - 2/9*d**4 + 8/9 = 0. Calculate d.
-1, 2
Let n = 9691 + -9691. Find o, given that 4/5*o**3 + 1/5*o**4 + 0 + n*o - 4/5*o**2 - 1/5*o**5 = 0.
-2, 0, 1, 2
Let b = -26 - -37. Let p(y) = -18*y + 205. Let v be p(11). What is h in -2*h - v + b - 7 + h**2 = 0?
-1, 3
Suppose -4*j - 450 + 462 = 0. Let h(d) be the first derivative of 1/20*d**4 - 1/15*d**3 + 0*d**2 + 0*d + j. Find s, given that h(s) = 0.
0, 1
Let q(m) = -m**2 - m + 1. Let x(j) = 6*j**2 + 4*j + 8. Let c(a) = -4*q(a) - x(a). Let t(n) = -5*n**2 - 25. Let z(v) = 9*c(v) - 4*t(v). Let z(u) = 0. What is u?
-2, 2
Let v be ((-8)/(-38))/((-840)/(-1596)). Let 2*t + 8/5 + v*t**2 = 0. What is t?
-4, -1
Let v be ((-31)/62)/((-2)/12). Let t(x) be the third derivative of 10*x**2 + 0 + 1/90*x**5 - 2/9*x**4 + 0*x + 16/9*x**v. Suppose t(k) = 0. Calculate k.
4
Let u(v) be the second derivative of -v**4/3 - 32*v**3/3 + 34*v**2 + 6*v + 1. Factor u(q).
-4*(q - 1)*(q + 17)
Suppose -4*r + 5*r = 2*g + 20, 4*r = 5*g + 77. Let o = -16 + r. Factor -8 + 4*a**o - 4*a - a + 0*a + a.
4*(a - 2)*(a + 1)
Let j = 44749/36 + -1243. Let h(k) be the first derivative of 0*k + j*k**6 - 1/12*k**2 + 8 - 1/15*k**5 + 0*k**4 + 1/9*k**3. Determine b, given that h(b) = 0.
-1, 0, 1
Let u be 55*2/25 - 4. Determine w so that -1/5*w**2 - 3/5*w - u = 0.
-2, -1
Solve -192/5*l + 4/5*l**2 + 2304/5 = 0.
24
Let k(t) = 1572864*t**3 + 73737*t**2 + 1170*t + 15. Let u(s) = 786432*s**3 + 36868*s**2 + 584*s + 7. Let v(f) = -4*k(f) + 9*u(f). Factor v(l).
3*(64*l + 1)**3
Solve -x**2 + 3*x**2 - 15072 - 13152 + 2314*x - 2986*x - 6*x**2 = 0.
-84
Find b, given that 4 - 61*b**2 + 11*b**2 - 18*b + 28*b**2 = 0.
-1, 2/11
Let s(n) be the first derivative of -5*n**6/6 + 8*n**5 - 35*n**4/2 - 40*n**3/3 + 75*n**2/2 + 138. Suppose s(j) = 0. What is j?
-1, 0, 1, 3, 5
Determine f so that -7242 - 26*f**2 - 35*f**2 + 7243 - 60*f = 0.
-1, 1/61
Let u(b) be the second derivative of -5*b**7/6 - 17*b**6/2 - 14*b**5 - 5*b**4 - 226*b. Solve u(v) = 0.
-6, -1, -2/7, 0
Let z(x) be the second derivative of 50/3*x**2 - 80/9*x**3 + 187/60*x**5 - x + 7 + 29/30*x**6 + 1/14*x**7 - 151/36*x**4. Find u such that z(u) = 0.
-5, -1, 2/3
Factor -4*l - 3*l + 15*l - 4*l**3 + 8*l**2 + 4*l.
-4*l*(l - 3)*(l + 1)
Let q be (24/(-10))/((-12)/5 + 2). Factor 4*j**2 + 4*j**4 + q*j**2 + 15*j**3 + j**4.
5*j**2*(j + 1)*(j + 2)
Let v(u) = -u**4 + 7*u**3 - 11*u**2 - 6*u + 14. Let w(p) = -p**3 + 2*p + 2. Let d(j) = -v(j) + w(j). Suppose d(b) = 0. What is b?
-1, 1, 2, 6
Let o = 15483 + -15481. Factor 2/3*h**4 - 8/3*h**3 + 8/3*h - 8/3 + o*h**2.
2*(h - 2)**2*(h - 1)*(h + 1)/3
Factor -58564/7 - 4/7*q**2 + 968/7*q.
-4*(q - 121)**2/7
Suppose 0 = -2*m - 16 - 2. Let z = m + 11. Suppose 3*u**z - 5*u - 6*u - 9 + 3*u + 2*u = 0. What is u?
-1, 3
Suppose -82 = -5*w + 33. Let c = 26 - w. Find d such that 2*d**4 - d**4 - 2*d**c + 2*d + 12*d**2 - 12*d**2 - 1 = 0.
-1, 1
Let p(t) = -4*t**2 - 2*t. Let g(x) = 75*x**2 + 684*x + 34992. Let j(q) = g(q) + 18*p(q). Factor j(f).
3*(f + 108)**2
Factor 42*h**2 + 51/4*h**3 + 3/4*h**4 + 39*h + 0.
3*h*(h + 2)**2*(h + 13)/4
Let u = -584 - -3505/6. Let k(n) be the second derivative of -2*n**2 - 1/3*n**3 + n + 0 + u*n**4. Factor k(r).
2*(r - 2)*(r + 1)
Factor 1/2*h**2 - 1/2*h - 21.
(h - 7)*(h + 6)/2
Factor -12 + 352*a**5 - 1332*a + 4*a**2 + 1354*a - 24*a**3 - 350*a**5 + 8*a**4.
2*(a - 1)**3*(a + 1)*(a + 6)
Let -5*l**4 - 50*l + 95*l**2 - 51 - 40*l**3 + 24 + 27 = 0. Calculate l.
-10, 0, 1
Let x be 605/1260 - 12/27. Let m(v) be the second derivative of 7*v + x*v**4 - 3/70*v**5 + 0*v**2 + 0 - 1/70*v**6 + 1/7*v**3. Factor m(n).
-3*n*(n - 1)*(n + 1)*(n + 2)/7
Suppose 3*b - 3 - 3 = 0. Suppose -3*h - b*h + 4*m = -12, -5*h + 22 = m. Let 0*y**3 - y**4 + h*y - 3*y**2 - 1 + 2*y**3 - 3*y**2 + 2*y**3 = 0. Calculate y.
1
Let q = 2/13 - 1/91. Let s(d) be the first derivative of 0*d**3 + 0*d - 4 - 2/35*d**5 + 0*d**2 - q*d**4 + 1/21*d**6. Factor s(w).
2*w**3*(w - 2)*(w + 1)/7
Factor 343/9 + 20/9*s**3 + 196/9*s - 14*s**2 - 1/9*s**4.
-(s - 7)**3*(s + 1)/9
Let j = -78 - -81. Let o(n) be the first derivative of 7/20*n**5 + 0*n**2 + 4 + 0*n + 1/8*n**6 + 5/16*n**4 + 1/12*n**j. Factor o(m).
m**2*(m + 1)**2*(3*m + 1)/4
Let