66*(-2 - 68/(-6)). Determine z so that 0 + 12/11*z - u*z**2 + 2/11*z**3 = 0.
0, 1, 6
Factor -4584/5 - 4/5*n**2 - 460*n.
-4*(n + 2)*(n + 573)/5
Let p = -2746 - -8290/3. Let x(a) be the first derivative of -p*a**3 + 31 + 0*a - 4*a**2 - 21*a**4. What is h in x(h) = 0?
-1/3, -2/7, 0
Let h = -2624 + 2626. Let t(o) be the third derivative of 0 + 1/24*o**4 + 0*o + h*o**2 + 1/180*o**5 + 0*o**3. Let t(u) = 0. Calculate u.
-3, 0
Suppose -5 = 5*l - 20. Suppose -2*z - z = 3*n - 3, 0 = -4*z - 8. Factor 0*s**n - s**l - 9 + 21 + 8*s - s**2.
-(s - 3)*(s + 2)**2
Let w(j) = -j**3 - 6*j**2 - 13*j - 8. Let c be w(-3). Suppose -23 + 215*f + 30*f**3 + 33*f**4 - 190*f**2 - 7*f**5 + 2*f**5 + 28 - 80 - 8*f**c = 0. Calculate f.
-3, 1, 5
Let c be -1*2*77/(-154). Solve -11538*l**2 + 1 - l - c + 11539*l**2 = 0.
0, 1
Let j(v) = 4*v**2 + 38*v + 50. Let q be j(-8). Factor 2/3*f + 8/9*f**q - 2/9.
2*(f + 1)*(4*f - 1)/9
Suppose 1/3*p**4 - 7/4 - 67/12*p - 17/12*p**3 - 67/12*p**2 = 0. Calculate p.
-1, -3/4, 7
Let s(f) = 2*f**4 + 6*f**3 - 2*f**2. Let l(t) = -6*t**2 - 6*t**2 + 12*t**2 - t**2. Let j(o) = -6*l(o) + s(o). Determine y so that j(y) = 0.
-2, -1, 0
Let j(n) be the second derivative of n**5/110 + 2*n**4/33 - 4*n**3/33 - 16*n**2/11 + 19*n + 73. What is y in j(y) = 0?
-4, -2, 2
Let m(q) be the first derivative of -q**6/6 + q**4/4 + q**2/2 - 9. Let t(n) = -4*n**5 - 4*n**4 + 8*n. Let b(p) = -8*m(p) + t(p). Factor b(u).
4*u**3*(u - 2)*(u + 1)
Let i(o) be the second derivative of o**4/27 + 490*o**3/27 + o - 1981. Factor i(k).
4*k*(k + 245)/9
Suppose 2041*g + 2113 + 7831 + 2548 = 5164*g. Factor 4/3*t**3 + 1/3*t**g + 4/3*t + 1/3 + 2*t**2.
(t + 1)**4/3
Suppose -4937*i = -4927*i. Solve i - 2/5*c**2 + 12/5*c = 0.
0, 6
Let o(f) = f**3 + 3*f**2 - 6*f + 17. Let u be o(-5). Let g(i) = i**2 - 2*i. Let r(z) = -6*z**2 - 24*z + 72. Let n(l) = u*g(l) - r(l). Factor n(j).
3*(j - 2)*(j + 12)
Suppose -210 = -14*x + 9*x. Suppose 0 = -10*k + x + 8. Determine f, given that 7*f**5 - 2*f**k - 2*f**3 + 6*f**4 - 2*f**5 - 7*f**3 = 0.
-3, 0, 1
Factor 5*s**2 + 39*s**3 + 42*s**3 - 89*s**3 - s**4 + 2*s**4 + 10*s**2.
s**2*(s - 5)*(s - 3)
Let u be (-1 - 0)*(-189)/42*(-76)/(-171). Factor 5/4*t**u + 0*t - 5.
5*(t - 2)*(t + 2)/4
Factor -1234/9*w + 2/9*w**2 - 412/3.
2*(w - 618)*(w + 1)/9
Let s(z) = 8*z + 66. Let p(o) = 8*o**3 - o**2 + 2*o + 3. Let u be p(-1). Let w be s(u). Solve -4*v**3 - 2*v**2 + w*v**3 - 10*v - 16 + 30*v = 0 for v.
-4, 1, 2
Let z(o) = 2*o**2 - 6*o - 50. Let l(m) = m**2 - 7*m - 38. Let t(u) = 3*l(u) - 2*z(u). Determine c so that t(c) = 0.
-7, -2
Let o(w) be the first derivative of -w**3 - 501*w**2 - 999*w + 7593. Let o(j) = 0. What is j?
-333, -1
Let g(j) be the second derivative of -200*j**6/3 - 330*j**5 - 615*j**4/4 - 45*j**3/2 - 521*j. Determine n, given that g(n) = 0.
-3, -3/20, 0
Let m(s) = s**2 + s + 1. Let z be m(-2). Suppose -5 - 11 = -z*c - 4*l, -l = 5*c - 55. Factor c*x + 23 + 13 - 3*x**2 - 48.
-3*(x - 2)**2
Solve -8 - 60*k - 413*k**2 + 958*k**2 - 477*k**2 = 0.
-2/17, 1
Let a be (((-171)/(-1254))/((-63)/(-24)))/((-4)/(-14)). Find i, given that a*i**3 + 0*i**2 + 0 - 8/11*i = 0.
-2, 0, 2
Let i(o) = 3*o - 23. Let c be i(17). What is w in -89*w**2 - 64 + c*w**3 - 14*w**2 - 9*w**2 + 8*w**3 - 4*w**4 + 144*w = 0?
1, 2, 4
Let v(x) be the first derivative of 4/9*x + 2/9*x**3 - x**2 - 23 + 2/9*x**4. Factor v(k).
2*(k - 1)*(k + 2)*(4*k - 1)/9
Let p(l) = 2*l - 35. Let g be p(19). Suppose -4*f + 38 = 2*k, 4*k - 9*k = -g*f - 4. Factor 8*o - o - f*o - 2 + 2*o**2.
2*(o - 1)*(o + 1)
Factor -81*x**4 + 317*x**2 + 105*x**2 - 3*x**5 + 261*x**2 - 95*x**2 - 504*x**3.
-3*x**2*(x - 1)*(x + 14)**2
Suppose -b - v = 1, 799*b - 3*v = 800*b + 11. Let 0 + 12/7*y**3 - 4/7*y**5 + 64/7*y**2 - 24/7*y**b - 48/7*y = 0. What is y?
-6, -2, 0, 1
Let z(q) be the second derivative of -4*q**2 + 1/3*q**4 + 0 - 2/3*q**3 - 28*q. Find a, given that z(a) = 0.
-1, 2
Find i such that -8*i**2 + 13*i**2 + 34*i + 77*i - 8*i**2 = 0.
0, 37
Let c = -18179/9 + 2021. Let h(s) be the first derivative of 2/3*s**4 + 0*s + 2/15*s**5 + c*s**3 + 2/3*s**2 + 10. Let h(f) = 0. Calculate f.
-2, -1, 0
Suppose 4*u - w = 451, -15*u - 223 = -17*u + w. Suppose 81 = 141*x - u*x. Factor -8/15*j**4 + 8/15*j - 16/15 - 2/15*j**x - 2/15*j**5 + 4/3*j**2.
-2*(j - 1)**2*(j + 2)**3/15
Let m(o) = -9*o**2 - 501*o - 2146. Let p(q) = 6*q**2 + 336*q + 1430. Let d(h) = 7*m(h) + 11*p(h). Factor d(y).
3*(y + 4)*(y + 59)
Let r(k) = -k**3 + 10*k**2 - 5*k - 2. Let s be r(9). Let h be (-2)/24 + (-7999)/(-228). Factor h*b**3 + 4 - b**5 - s*b**3 - 4.
-b**3*(b - 1)*(b + 1)
Let k(v) = -v**2 + 1. Let j(x) = -2*x - 2432*x**3 + 5*x**4 + 2440*x**3 - 5 + 5*x**2 + x**2. Let w(g) = j(g) + 5*k(g). Factor w(l).
l*(l + 1)**2*(5*l - 2)
Let w(c) be the first derivative of c**5/30 - 5*c**4/12 + 1635. Factor w(t).
t**3*(t - 10)/6
Factor -118/11*r - 60/11 + 4/11*r**2.
2*(r - 30)*(2*r + 1)/11
Let p(d) be the second derivative of -5*d**4/48 + 271*d**3/24 - 27*d**2/4 + 82*d + 4. Factor p(w).
-(w - 54)*(5*w - 1)/4
Let o = -27827 - -27831. Let 1/2*k**o - 2*k**2 + 0 - 3/2*k - 1/8*k**3 + 1/8*k**5 = 0. What is k?
-3, -2, -1, 0, 2
Suppose -22 = 33*p - 31*p - 2*i, -i = 2*p + 28. Let q(r) = -r**2 - 12*r + 15. Let c be q(p). Factor 0 + 4/9*k**4 - 16/9*k**c + 16/9*k - 4/9*k**3.
4*k*(k - 2)*(k - 1)*(k + 2)/9
Let l(c) = -12*c**2 + 1896*c - 240084. Let p(y) = -11*y**2 + 1904*y - 240086. Let d(w) = -7*l(w) + 8*p(w). Let d(q) = 0. What is q?
245
Let c(h) be the first derivative of h**6/27 + 22*h**5/45 - 3*h**4/2 - 22*h**3/27 + 26*h**2/9 + 562. Determine x so that c(x) = 0.
-13, -1, 0, 1, 2
Let b = -3 + 20. Suppose z + 5*f - 45 = 0, z + 4*f - 28 = b. Factor -14 - 1 + z + 5*k**3 - 35*k.
5*(k - 2)*(k - 1)*(k + 3)
Let v(f) be the first derivative of f**7/560 - f**6/15 + 4*f**5/5 + 55*f**3/3 + 48. Let h(i) be the third derivative of v(i). Factor h(q).
3*q*(q - 8)**2/2
Let f(o) be the second derivative of 0*o**3 - 1/10*o**5 + 0*o**2 + 0 + 5/168*o**7 + 48*o - 7/120*o**6 + 1/12*o**4. Find s, given that f(s) = 0.
-1, 0, 2/5, 2
Let c(h) = -h**3 - 9*h**2 + 34*h - 19. Let a(l) = -1. Let r(o) = 2*o**3 + 42*o**2 - o - 1. Let k be r(-21). Let y(d) = k*a(d) + 4*c(d). Factor y(i).
-4*(i - 2)*(i - 1)*(i + 12)
Let z(j) be the third derivative of -j**5/90 + 223*j**4/36 - 220*j**3/3 + 1540*j**2. Determine t so that z(t) = 0.
3, 220
Let i be (((-36)/(-40))/3)/(39/442) - (-12)/(-20). Factor -i*g**3 + 0 + 2/5*g**5 + 8/5*g**2 + 4/5*g**4 + 0*g.
2*g**2*(g - 1)**2*(g + 4)/5
Let t(k) be the third derivative of -k**7/70 - k**6/4 + 383*k**5/20 + 255*k**4 - 20808*k**3 - 2*k**2 + 24*k + 5. Factor t(d).
-3*(d - 12)**2*(d + 17)**2
Let g(b) be the third derivative of 0*b**3 + 0 + 1/18*b**4 + 0*b - 15*b**2 + 1/180*b**5. Factor g(l).
l*(l + 4)/3
Let b(x) be the first derivative of x**4/40 - 3*x**3/5 + 69*x**2/20 - 26*x/5 - 184. Factor b(i).
(i - 13)*(i - 4)*(i - 1)/10
Let n(m) = 10 + m + 17 + 2*m. Let k be n(-9). Solve -27*i**2 - 6*i - 38*i**3 + 27*i**4 + 21*i**5 + 23*i**3 + k*i**3 = 0 for i.
-1, -2/7, 0, 1
Let b = 3708 - 3703. Let j(v) be the third derivative of 1/30*v**b + 1/240*v**6 + v**2 - 1/48*v**4 - 1/3*v**3 + 0*v + 0. Factor j(a).
(a - 1)*(a + 1)*(a + 4)/2
Let s = 249032 - 249004. Factor 4/3*c**2 + s*c - 88/3.
4*(c - 1)*(c + 22)/3
Let f = -555 + 557. Let a(x) = -3*x - 2. Let h(k) = 4*k + 3. Let b(v) = 7*a(v) + 5*h(v). Let u(t) = 2*t**2 + t - 7. Let l(r) = f*u(r) + 6*b(r). Factor l(d).
4*(d - 2)*(d + 1)
Suppose -44*k + 717 = 95*k + 22. Factor -39/8*y - 9/8 - k*y**2.
-(5*y + 3)*(8*y + 3)/8
Factor 412/7*n - 42436/7 - 1/7*n**2.
-(n - 206)**2/7
Let c(r) be the second derivative of 231/20*r**5 + 46*r**3 + 121/10*r**6 + 0 - 141/2*r**4 + 182*r - 12*r**2. What is q in c(q) = 0?
-2, 2/11, 1
Let l(q) be the third derivative of -q**6/160 - 39*q**5/80 - 9*q**4/8 + 19*q**3/2 + 377*q**2 - 2*q. Factor l(y).
-3*(y - 1)*(y + 2)*(y + 38)/4
Let q(h) = -3*h**3 - 48*h**2 + 4*h + 6. Let r(b) = 5*b**3 + 51*b**2 - 6*b - 9. Let v(x) = 3*q(x) + 2*r(x). Find g such that v(g) = 0.
0, 42
Let d(i) be the first derivative of 5*i**6/42 + 23*i**5/35 - 15*i**4/28 - 23*i**3/21 + 5*i**2/7 + 1062. Solve d(s) = 0.
-5, -1, 0, 2/5, 1
Let j(h) = 24*h**2 - 83*h - 5. Let f be j(5). Let t be ((-9)/(-6))/(f/390). Solve 5/4*u**3 - 4*u**2 - 1/2 + t*u = 0.
1/5, 1, 2
Let q(v) be the firs