/17*w**3 = 0. Calculate w.
-2, -1, -1/594, 1
Let y(n) = -2*n**3 + 10*n**2 - 11*n + 3. Let g(t) = -t**3 + t**2 - t + 1. Suppose 13*i + 32 = 71. Let s(x) = i*g(x) - y(x). Factor s(w).
-w*(w - 1)*(w + 8)
Factor -q**4 + 320*q**2 - 4*q**4 - 46*q - 4*q**3 - 6*q**3 - 754*q.
-5*q*(q - 4)**2*(q + 10)
Let v(k) = 10*k**5 + 45*k**4 - 5*k**2 + 5*k + 5. Let a = 436 + -441. Let z(h) = -9*h**5 - 45*h**4 + 4*h**2 - 4*h - 4. Let g(q) = a*z(q) - 4*v(q). Factor g(y).
5*y**4*(y + 9)
Let n(d) be the third derivative of -d**6/40 + 31*d**5/20 - 23*d**4 + 66*d**2 + 12. Suppose n(q) = 0. Calculate q.
0, 8, 23
Let n(k) be the first derivative of -2*k**3/15 - 84*k**2/5 + 704*k/5 + 1409. Find d such that n(d) = 0.
-88, 4
Let b = -1 + 5. Let i be (-65 - -68)/(((-9)/5)/(-3)). Find l such that -20*l**4 - 4*l**2 + 15*l**b + 14*l**2 - i = 0.
-1, 1
Factor -89*n + 1/3*n**2 - 270.
(n - 270)*(n + 3)/3
Let c(s) be the second derivative of s**6/105 - 9*s**5/70 + 13*s**4/42 + 15*s**3/7 - 50*s**2/7 + 15*s + 18. Suppose c(o) = 0. What is o?
-2, 1, 5
Let u = 282390 + -282363. Solve -96*r - u*r**2 - 256/3 = 0.
-16/9
Find l, given that -59*l**5 - 31162 + 3566*l**3 + 19*l**4 + 49*l**4 - 9239 - 29422*l**2 + 59*l**4 + 66129*l + 60*l**5 = 0.
-67, 1, 3
Determine u so that 2/3*u**2 + 68/3*u + 150 = 0.
-25, -9
Let t = -9710/180721 - -12116270/16807053. Let z = -2/3937 + t. Factor -8*h**2 - 4*h**3 - 20/3*h - 2 - z*h**4.
-2*(h + 1)**3*(h + 3)/3
Let i = 95 - -123. Suppose i - 59 = 3*x. Determine z so that -5*z**2 + 28*z - x + 12*z + 12 - 39 = 0.
4
Let p(c) = 7*c**2 + 3453*c - 3492. Let r(m) = 9*m**2 + 3453*m - 3510. Let i(h) = 3*p(h) - 2*r(h). Let i(q) = 0. Calculate q.
-1152, 1
Let m(s) be the first derivative of -35*s**4/6 + 65*s**3/3 - 95*s**2/6 - 10*s - 2938. What is q in m(q) = 0?
-3/14, 1, 2
Let w = 197 - 186. Factor 4*d**3 - 13*d**3 - 6*d**3 + 16*d + w*d**3.
-4*d*(d - 2)*(d + 2)
Factor 5731*s**2 + 234*s**2 + 12608*s**3 - 6302*s**3 + 1776075*s - 6301*s**3 - 1782045.
5*(s - 1)*(s + 597)**2
Let z be 5/(-3)*(-1 - 2). Suppose -z*n = -51 - 589. What is f in -n*f**3 + 258*f**3 + 3*f**4 - 124*f**3 = 0?
-2, 0
Suppose -8*j + 20 + 12 = 0. Suppose 8 = 4*n - 3*n - 2*y, j*y + 4 = -4*n. Factor -13*m - 40 + 11*m - 5*m**3 + 10*m**n + 22*m.
-5*(m - 2)**2*(m + 2)
Let k be 786/(-917)*(-7)/27. Factor -8/9*u**2 - 8/9*u**4 + 4/3*u**3 + k*u**5 + 0 + 2/9*u.
2*u*(u - 1)**4/9
Let m(x) = x**2 + 2*x. Let s be m(3). Let g be s/6 - (-3)/(-12)*2. Find c such that -4*c**3 - g*c**4 - 9*c - c**2 - 3*c + 3*c**2 + 16*c = 0.
-2, -1, 0, 1
Let t = 3007/20902 - 3/2986. Let q(p) be the second derivative of 0 + 3/7*p**3 + t*p**4 + 4/7*p**2 + 1/70*p**5 + 26*p. Factor q(w).
2*(w + 1)**2*(w + 4)/7
Let n = -28 - -33. Suppose 7*c + n*h = 3*c + 6, 0 = 2*h + 4. Find q such that -14 + c*q**3 + 62 + 30*q + 28*q**2 + 34*q = 0.
-3, -2
Let b be (-20)/42 - 955/(-1337)*(-8)/(-10). Let n(k) be the first derivative of b*k**3 - 12/7*k**2 + 10 + 72/7*k. Solve n(l) = 0.
6
Suppose 0 = 15*j + 88 + 2. Let x be ((-10)/j)/(7*55/924). Factor -1/6*h**3 + 5/6*h + 1/2*h**2 - 1/6*h**x + 1/3.
-(h - 2)*(h + 1)**3/6
Let f be 3/9 - 556/(-6). Let n(r) be the first derivative of 21 + 80*r**2 - 10*r**3 + 4*r - f*r**2 + 15. Factor n(d).
-2*(d + 1)*(15*d - 2)
Suppose 14*g**2 - 5/6*g**4 + 6*g - 17/6*g**3 + 0 = 0. What is g?
-6, -2/5, 0, 3
Let u(f) be the second derivative of -f**6/105 + 3*f**5/10 + 51*f**4/14 + 239*f**3/21 + 108*f**2/7 + 2*f + 6325. Let u(v) = 0. Calculate v.
-4, -1, 27
Let b(a) = -a**2 - 88*a - 2024. Let t(m) = -2*m + 9. Let q(d) = 2*d - 7. Let g(f) = -5*q(f) - 4*t(f). Let j(o) = -3*b(o) - 3*g(o). Factor j(s).
3*(s + 45)**2
Let k = 1124282 + -1124280. Factor 159/2*s**k - 2025/2*s - 3/2*s**3 - 2187/2.
-3*(s - 27)**2*(s + 1)/2
Determine a, given that -888/7*a**3 + 1340/7*a**2 + 720/7 + 2976/7*a + 4*a**4 = 0.
-1, -2/7, 3, 30
Let g = 39232 - 39226. Let h(p) be the second derivative of 7/2*p**3 - 36*p + g*p**2 - 3/20*p**5 + 0 + 1/2*p**4. Factor h(x).
-3*(x - 4)*(x + 1)**2
Let f(t) = 129*t - 7863. Let c be f(61). Let l(g) be the third derivative of 0*g**4 + 0*g - 1/240*g**c - 1/120*g**5 + 0*g**3 + 0 + 11*g**2. Factor l(r).
-r**2*(r + 1)/2
Let m(x) = -x**3 + 12*x**2 - 25*x - 16. Let v be m(9). Factor 12*k**3 - 6*k**v - 8 + 0*k**3 + 10*k**2 + 11*k**2 - 4*k + k**2.
4*(k + 1)**2*(3*k - 2)
Suppose v**2 - 142*v - 244 - 37*v + 273 - 5*v + 335 = 0. Calculate v.
2, 182
Let f = 539 - 529. Suppose -f*h = -4*h. Solve 8/11*d**2 + 10/11*d**4 - 2/11*d**5 - 16/11*d**3 + h + 0*d = 0 for d.
0, 1, 2
Let i(d) = d**2 + 3389*d + 67408. Let q be i(-20). Determine r so that 0 + 2/7*r**5 + q*r + 186/7*r**3 + 34/7*r**4 + 50*r**2 = 0.
-7, -2, -1, 0
Let -8 - 127/4*l - 3/4*l**5 + 23*l**4 - 15*l**2 + 65/2*l**3 = 0. Calculate l.
-1, -1/3, 1, 32
Let -6*v**2 + v**5 + 33*v**3 - 40*v - 48*v**3 + 64*v**2 - 4*v**4 = 0. Calculate v.
-4, 0, 1, 2, 5
Suppose p + p = 7*p. Suppose p = 10*r - 20*r + 320. Factor 2*n + 0*n**3 + 0*n + r*n**2 - 32 - 6*n + 4*n**3.
4*(n - 1)*(n + 1)*(n + 8)
Let u be (-124)/(-28) - 2/((-28)/(-6)). Solve 15*p**3 - 156*p**2 + 338*p**2 - 161*p**2 + 3*p**u + 9*p = 0.
-3, -1, 0
Let i(t) = 2*t**2 - 6*t - 14. Suppose 1 = -k - 2*n + 12, -2*k + 2*n - 8 = 0. Let g(j) = -1. Let c(s) = k*i(s) - 6*g(s). Factor c(v).
2*(v - 4)*(v + 1)
Let c(k) = -k**3 + 1. Let z(u) = 3*u**4 + 9*u**3 - 12. Let o(m) = m**3 - 1. Let l(f) = 15*o(f) - z(f). Let i = -2 - -3. Let w(h) = i*l(h) + 3*c(h). Factor w(b).
-3*b**3*(b - 1)
Let s(x) be the third derivative of x**7/630 - 53*x**6/45 + 22259*x**5/90 + 3763*x**4/3 + 5041*x**3/2 + 858*x**2 + 1. Factor s(n).
(n - 213)**2*(n + 1)**2/3
Let b(f) be the second derivative of -f**5/45 + 13*f**4/18 - 8*f**3/3 + 13*f**2/2 + 23*f - 5. Let l(k) be the first derivative of b(k). Factor l(j).
-4*(j - 12)*(j - 1)/3
Let j = 9521/4 - 2377. Let z(w) be the second derivative of -9/10*w**5 - 6*w**3 + 0 - 20*w + j*w**4 + 1/10*w**6 + 6*w**2. Factor z(g).
3*(g - 2)**2*(g - 1)**2
Let j(b) = -b**2 + 3*b + 2. Let g(l) = 5*l**3 + 46*l**2 - 708*l + 8. Let p(d) = -g(d) + 4*j(d). Factor p(c).
-5*c*(c - 8)*(c + 18)
Let k be ((-2793)/(-84))/19*(-4 + -4)/(-4). Factor k*t**3 + 0 + 0*t**2 + 4*t**4 + 1/2*t**5 + 0*t.
t**3*(t + 1)*(t + 7)/2
Let k(z) be the first derivative of z**6/6 + 2*z**5 + 4*z**4 - 38*z**3/3 - 17*z**2/2 + 28*z - 7417. Solve k(d) = 0 for d.
-7, -4, -1, 1
Let c(j) be the second derivative of -j**4/27 + 106*j**3/27 - 7*j - 42. Factor c(n).
-4*n*(n - 53)/9
Let -2/11*l + 0 + 2/11*l**2 - 2/11*l**4 + 6/11*l**3 - 4/11*l**5 = 0. Calculate l.
-1, 0, 1/2, 1
Suppose 785*t**2 - 4*t**5 - 165*t - 585*t**3 + 135*t**4 - 165*t - 21954 + 21954 - t**5 = 0. What is t?
0, 1, 3, 22
Let z be (-28)/(104/65 + -2*1). Let y be (30/z)/((-2)/(-4)). Solve -8/7*x - 2/7*x**2 - y = 0.
-3, -1
Let g(w) be the second derivative of -w**6/45 - w**5/10 + w**4/18 + w**3/3 - 642*w. Suppose g(i) = 0. What is i?
-3, -1, 0, 1
Factor -60*n + 50/7*n**2 + 126.
2*(5*n - 21)**2/7
Suppose -95 = -5*t + 5*z, 0 = -5*t - 363*z + 359*z - 58. Find h such that 8/11*h**t + 8/11*h - 2/11*h**3 - 2/11*h**4 + 0 = 0.
-2, -1, 0, 2
Let f = -619 - -655. Let j be 12/f*(-16)/(-6). Let -4/9*r + j + 1/9*r**4 - 2/3*r**2 + 1/9*r**3 = 0. Calculate r.
-2, 1, 2
Let h(w) be the third derivative of -w**7/504 + w**6/6 + 25*w**5/24 + w**4/12 + 13*w**3/3 + 77*w**2. Let o(g) be the second derivative of h(g). Factor o(f).
-5*(f - 25)*(f + 1)
Let x(g) be the second derivative of 4*g - 5 + 4*g**3 - 21/2*g**2 - 1/4*g**4. Find d, given that x(d) = 0.
1, 7
Determine y, given that -15/4*y**4 + 81/4 - 33/2*y**2 - 63/4*y + 31/2*y**3 + 1/4*y**5 = 0.
-1, 1, 3, 9
Let t(r) be the first derivative of -r**7/315 + r**6/180 + 4*r**5/45 - r**4/3 + 5*r**2/2 + 4*r + 112. Let j(z) be the second derivative of t(z). Factor j(g).
-2*g*(g - 2)**2*(g + 3)/3
Let d(m) be the third derivative of 0*m - 4 - 144*m**3 - 2/21*m**7 + 91/30*m**6 + m**2 - 186/5*m**5 + 198*m**4. Determine r so that d(r) = 0.
1/5, 6
Let g(h) = h**3 - h**2 - 3*h + 1. Let v(s) = 8*s**3 - 343*s**2 - 28247*s - 55103. Let i(q) = -9*g(q) + v(q). Let i(n) = 0. What is n?
-166, -2
Let y be 255849/(-119020) + (-21)/(-28). Let a = 1/2705 - y. Determine l, given that l - 3/5*l**5 - 2/5*l**3 - a*l**4 + 6/5*l**2 + 1/5 = 0.
-1, -1/3, 1
Let r(f) be the first derivative of f**7/210 - 11*f**6/90 + 7*f**5/30 + 49*f**4/2 - 5*f