32*l**4 - 92*l**4 + 4*l**q - 24*l + 30*l**3 + 76*l**2 = 0. What is l?
-1, 0, 2/7, 2, 3
Let y(p) = -25*p**4 - 279*p**3 - 816*p**2 - 17. Let g(s) = -3*s**4 - 35*s**3 - 102*s**2 - 2. Let q(r) = 51*g(r) - 6*y(r). Find n, given that q(n) = 0.
-34, -3, 0
Let p(k) = 4*k**4 - 109*k**3 + 816*k**2 - 2530*k + 2735. Let g(o) = -12*o**4 + 326*o**3 - 2448*o**2 + 7588*o - 8198. Let c(y) = 5*g(y) + 14*p(y). Factor c(w).
-4*(w - 15)*(w - 5)*(w - 3)**2
Let a(t) be the third derivative of 91*t**2 - 2963/6*t**5 - 5135/2*t**4 - 1/42*t**7 + 0 - 31205/6*t**3 + 0*t + 13/2*t**6. Factor a(n).
-5*(n - 79)**2*(n + 1)**2
Let r(l) = 10*l**5 + 80*l**4 - 35*l**3 + 55*l - 110. Let y(p) = -4*p**3 + 2*p + 318 - 330 + 9*p**4 + p**5 + 4*p. Let x(b) = 6*r(b) - 55*y(b). Factor x(w).
5*w**3*(w - 2)*(w - 1)
Suppose -957/4*u**4 - 180*u + 765/4*u**3 - 45/4*u**5 + 825/4*u**2 + 33 = 0. Calculate u.
-22, -1, 1/3, 2/5, 1
Factor -1/6*j**4 - 6*j**3 - 37/6 + 19/3*j**2 + 6*j.
-(j - 1)**2*(j + 1)*(j + 37)/6
Let t(f) = 2*f**3 - 2*f**2 - f - 1. Suppose 0*h - 8*h = -16. Let q be t(h). Solve -2*c + 3*c**3 + 0*c**5 - c**4 + 15*c**2 - 14*c**2 - c**q = 0.
-2, -1, 0, 1
Suppose -95 = -84*k + 73. Suppose 2 = 4*t - 9*i + 6*i, -5*t = -4*i - k. Find x, given that 3/2*x**3 + 21/2*x**t + 33/2*x + 15/2 = 0.
-5, -1
Let x(z) be the second derivative of -z**6/45 - 7*z**5/30 - z**4/3 + 32*z**3/9 + 32*z**2/3 + z - 2711. Let x(s) = 0. What is s?
-4, -1, 2
Let g(j) be the first derivative of j**5/50 - j**4/5 - j**3/30 + 2*j**2/5 + 450. Factor g(n).
n*(n - 8)*(n - 1)*(n + 1)/10
Let r(i) = 23*i**2 - 33*i - 134. Let y(c) = 52*c**2 - 67*c - 267. Let s(h) = 9*r(h) - 4*y(h). Factor s(w).
-(w + 6)*(w + 23)
Let g = 51786/129515 + 4/25903. Factor -g*k**2 + 0 - 4/5*k.
-2*k*(k + 2)/5
Let h(t) = 5*t**3 - 18*t**2 - 20*t - 30. Let p(y) = -6*y**3 + 18*y**2 + 18*y + 35. Let f(q) = -7*h(q) - 6*p(q). Factor f(i).
i*(i + 2)*(i + 16)
Let s be (2/6)/((-2 - (-12)/(-27)) + 3). Factor 0 - 3/5*l**4 - 2/5*l + 1/5*l**3 + 1/5*l**5 + s*l**2.
l*(l - 2)*(l - 1)**2*(l + 1)/5
Factor 1/8*q**5 + 633/4*q**4 + 1263/8*q + 474*q**3 + 1895/4*q**2 + 0.
q*(q + 1)**3*(q + 1263)/8
Factor 0*z - 3/4*z**3 + 0 + 17/4*z**2.
-z**2*(3*z - 17)/4
Let m = -11 + 14. Suppose m*z + 3 - 21 = 0. Let q(o) = 3*o**3 - o. Let f(i) = -25*i**3 + 7*i + 1. Let d(p) = z*f(p) + 51*q(p). Factor d(u).
3*(u - 1)**2*(u + 2)
Let b(x) be the second derivative of 3*x**5/80 - 415*x**4/48 + 4807*x**3/8 - 4761*x**2/8 + 2944*x. Factor b(t).
(t - 69)**2*(3*t - 1)/4
Let b(k) be the second derivative of -3*k**4/4 - 245*k**3/6 - 882*k**2 - 62*k. Let u(r) = 3*r**2 + 82*r + 588. Let h(m) = -2*b(m) - 7*u(m). Factor h(l).
-3*(l + 14)**2
Let p(g) = -3*g**2 - 34*g + 2. Let v be p(-10). Let -v*a + 2*a**2 + 80*a - a**2 - 37*a = 0. What is a?
-1, 0
Let n(t) = -t**2 - t - 2. Let w(f) be the third derivative of -6*f**2 + 0*f - 23/12*f**4 - 7*f**3 + 0 + 5/6*f**5. Let m(j) = -44*n(j) + 2*w(j). Factor m(r).
4*(6*r - 1)**2
Let h(z) be the third derivative of -z**8/1008 + z**7/105 - z**6/36 + 11*z**4/72 - z**3/3 + z**2 - 2*z + 93. Solve h(j) = 0.
-1, 1, 2, 3
Let y = -14 - -7. Let b be (-3 + 7)*(-3 + y/(-2)). Let 3*d**b + 15*d**3 - 14*d**3 + 8 - 5*d - d**4 - 6 = 0. What is d?
-2, 1
Suppose -14*h = -23*h + 27. Solve 3*j**3 - 3*j**2 - 18*j**3 - 9*j - 6*j**2 - 2*j**h - 3 + 14*j**3 = 0 for j.
-1
Let u = 3241/1968 + 13/656. Let r(f) be the third derivative of 1/12*f**5 - 15/2*f**3 - 22*f**2 + 0*f + 0 + u*f**4. What is i in r(i) = 0?
-9, 1
Let r(n) be the third derivative of n**7/70 - 9*n**6/4 + 81*n**5/20 + 181*n**4/2 - 534*n**3 + 3*n**2 + 1314*n. Determine g, given that r(g) = 0.
-3, 2, 89
Let n(d) be the first derivative of -2*d**5/45 - d**4/2 - 46*d**3/27 - 5*d**2/3 + 467. Suppose n(k) = 0. Calculate k.
-5, -3, -1, 0
Let l = 16154 + -16150. What is d in -1/2*d**l + 2*d**2 - 3/2 + d**3 - d = 0?
-1, 1, 3
Suppose -3*u = -2*h + 11 + 1, 0 = -5*h - 2*u - 8. Let v be -2*2/(-80) + 0 - (-71708)/21840. Solve h + 2/3*s**2 + v*s = 0.
-5, 0
Factor -9798/11*o - 10082/11 - 2/11*o**3 + 282/11*o**2.
-2*(o - 71)**2*(o + 1)/11
Suppose -9*x + 123 + 12 = 0. Let z(a) = 3*a - 43. Let o be z(x). Let o*y**2 - 5*y**3 - 6*y**2 + 2*y**2 + y**5 + 2*y**3 = 0. What is y?
-1, 0, 2
Let z = -428702 - -3602382902/8403. Let b = 15755617/16806 - z. Suppose 225*u**2 + 30*u**3 + b + 3/2*u**4 + 750*u = 0. Calculate u.
-5
Let d(o) = -o - 8. Let x be d(-10). Suppose -9*z = -14*z + 10. Factor 0*n**z + 6*n + 18 + 0*n**3 - 10*n**x - 3*n**3 + 5*n**3.
2*(n - 3)**2*(n + 1)
Find f such that -131/4*f**2 - 3/2*f**3 - 95/2 - 333/4*f = 0.
-19, -2, -5/6
Let u be 28/21 + 12/(-144). Let c(b) be the second derivative of 0*b**2 - u*b**4 + 20*b - 1/6*b**6 - 5/6*b**3 + 0 - 3/4*b**5. Factor c(k).
-5*k*(k + 1)**3
Suppose -m = -5 - 1. Let b(r) = -5*r**2 - 2*r. Let q(o) = -5*o**2 - o. Let y(f) = m*b(f) - 7*q(f). Factor y(i).
5*i*(i - 1)
Factor 21*i + 5*i**2 - 43*i + 2*i.
5*i*(i - 4)
Factor -4*g**3 - 72340*g**5 + 72296*g**5 - 3 - 48*g**4 + 3.
-4*g**3*(g + 1)*(11*g + 1)
Let m(i) be the third derivative of -i**8/336 + 3*i**7/70 - i**6/60 - 4*i**5/5 - 120*i**2. Factor m(g).
-g**2*(g - 8)*(g - 3)*(g + 2)
Let x be 95/3 - -3 - (-2)/(-3). Let y be (-2)/3*x/(-170). Suppose -2/15*l**4 + 2/15*l**2 + y*l**3 - 2/15*l + 0 = 0. Calculate l.
-1, 0, 1
Let l = -6864/5 + 1374. Factor m + 1/5*m**3 - 12/5 + l*m**2.
(m - 1)*(m + 3)*(m + 4)/5
Let n(a) be the third derivative of a**5/60 + 37*a**4/4 + 4107*a**3/2 + 5798*a**2. Factor n(g).
(g + 111)**2
Let a be 38 - ((-2)/(-17) + 1320/340). Suppose -a*r + 4 = -98. Suppose 2/23*x**2 + 0 - 2/23*x**4 - 2/23*x**r + 2/23*x = 0. Calculate x.
-1, 0, 1
Let h be (-32)/18*(-522)/232. Let x(b) be the first derivative of -39 + 0*b + 11*b**h - 56/3*b**3 - 2*b**5 + 8*b**2. Let x(d) = 0. Calculate d.
0, 2/5, 2
Let w(q) = -308*q**4 - 594*q**3 - 312*q**2 + 22*q. Let a(l) = -123*l**4 - 237*l**3 - 125*l**2 + 9*l. Let h(t) = -12*a(t) + 5*w(t). Factor h(g).
-2*g*(g + 1)**2*(32*g - 1)
Let m(j) be the second derivative of j**5/10 - 7*j**4/2 + 104*j**3/3 - 681*j - 1. Factor m(s).
2*s*(s - 13)*(s - 8)
Find n such that 11*n**3 - 97*n - 27*n + 16*n**3 + 75*n**2 - 33*n**3 + 63 - 8*n = 0.
1, 21/2
Suppose -2*j = -2*g + 6, 2*j + 3*g - 38 = -4. Solve 8/7 + 22/7*h**2 + 2/7*h**3 + 24/7*h - 2/7*h**j - 6/7*h**4 = 0.
-2, -1, 2
Let x(c) = -25*c**3 + 10377*c**2 + 2693621*c + 2683233. Let d(f) = 10*f**3 - 5188*f**2 - 1346809*f - 1341617. Let n(l) = 7*d(l) + 3*x(l). Factor n(b).
-5*(b + 1)*(b + 518)**2
Let v = -6485/14 - -3246/7. Let h(q) be the second derivative of 0 - 1/6*q**3 - 1/48*q**4 + 1/80*q**5 + v*q**2 + 10*q. Factor h(k).
(k - 2)*(k - 1)*(k + 2)/4
Suppose -57 = 6*q - 9*q + 5*m, -2*m - 18 = 0. Let 184/7*h + 82/7*h**q + 318/7*h**2 + 250/7*h**3 + 40/7 + 6/7*h**5 = 0. Calculate h.
-10, -1, -2/3
Suppose 3 = -m + 3*y + 17, 5*y = 3*m - 26. Let t be 2/(1/2*m). Find x such that -12*x**5 + 7*x**t + 13*x**4 + 4*x + 3*x**4 + 12*x**3 - 23*x**2 - 4*x**3 = 0.
-1, 0, 1/3, 1
Let r(t) = -t + 16. Let m be r(11). Let q**4 + 7*q + 5320*q**2 - 2*q**m - 5294*q**2 + 21*q**3 + q = 0. Calculate q.
-2, -1, -1/2, 0, 4
Let z = 34 - -34. Let i(f) = 2*f**3 - 7*f**2 + 5*f - 3. Let b be i(3). Suppose 38*g**b - 6 + 4*g**4 + 2*g**4 + 21*g + 9*g**5 - z*g**3 = 0. Calculate g.
-2, -1, 1/3, 1
Factor o**4 - 795982*o + 795962*o + 5*o**3 + o**2 - 5*o**2.
o*(o - 2)*(o + 2)*(o + 5)
Let f(p) be the second derivative of p**5/8 - 35*p**4/24 + 35*p**3/6 - 10*p**2 - 281*p + 1. Suppose f(n) = 0. Calculate n.
1, 2, 4
Let i = -6 + 8. Let b(z) = 34*z - 508. Let d be b(15). Factor -88*o**4 - 4*o**3 + 2 + 45*o**4 + 45*o**4 + i*o**5 - 4*o**2 + d*o.
2*(o - 1)**2*(o + 1)**3
Determine w, given that -1/11*w**2 - 2313441/11 + 3042/11*w = 0.
1521
Suppose k - 32 = -4748*t + 4743*t, -4*k + 71 = t. Let 0 + 38/7*i**4 - 40*i**2 - 2/7*i**5 + 400/7*i - 156/7*i**t = 0. Calculate i.
-2, 0, 1, 10
Let y(x) be the second derivative of x**7/21 + x**6/3 + 9*x**5/10 + 7*x**4/6 + 2*x**3/3 - 1467*x. Factor y(g).
2*g*(g + 1)**3*(g + 2)
Suppose -45*x = 6*x + 12*x. Let g(a) be the first derivative of -3/2*a**2 - 3/2*a**3 - 29 + x*a. Factor g(q).
-3*q*(3*q + 2)/2
Let i(j) be the first derivative of j**6/12 + 6*j**5/5 + 3*j**4 - 17*j**3/3 - 57*j**2/4 + 27*j + 5293. Determine v so that i(v) = 0.
-9, -3, -2, 1
Let p(n) be the third derivative of -n**7/70 - 443*n**6/