ppose -357 = 2*a - 109. Let d = -118 - a. Factor -12 + 21*s**3 - 3*s**2 - 24*s - 16*s**4 + 43*s**4 - d*s**3 - 3*s**5 - 24*s**4.
-3*(s - 2)**2*(s + 1)**3
Let j(k) = -k**2 + 402*k - 7638. Let p(x) = -805*x + 15255. Let g(a) = -5*j(a) - 2*p(a). Factor g(y).
5*(y - 48)*(y - 32)
Find r, given that -3*r - 39 + 45/4*r**2 = 0.
-26/15, 2
Let p(m) be the second derivative of -5/8*m**4 - 10*m - 1/12*m**5 + 4*m**2 + 0*m**3 + 0. Let k(x) be the first derivative of p(x). Factor k(z).
-5*z*(z + 3)
Let j(p) be the first derivative of 50 + 12*p - 1/5*p**5 + 35/2*p**2 + 9/4*p**4 + 11*p**3. Find z such that j(z) = 0.
-1, 12
What is j in -2/17*j**5 - 6/17*j**3 + 6/17*j**4 + 0*j + 0 + 2/17*j**2 = 0?
0, 1
Let c be -12 - (2 - 188/90*9). Find w such that 2/5*w**3 - 16/5 + c*w - 12/5*w**2 = 0.
2
Let i = 1328 - 1213. Let p be (-3)/5*(-1 - i/135). Factor -4/3 - 22/9*l + p*l**3 + 8/3*l**2.
2*(l - 1)*(l + 3)*(5*l + 2)/9
Determine l, given that 204 + 70*l + 133*l + 1161*l**2 - 1162*l**2 = 0.
-1, 204
Let w(t) be the third derivative of t**5/110 - 29*t**4/66 - 2949*t**2 + 2*t. Factor w(p).
2*p*(3*p - 58)/11
Suppose 2*k = -2*k + 168. Let q = k - 40. Suppose 34*x**3 + 40*x**3 + 6*x**q + 0*x**2 - 75*x**3 = 0. What is x?
0, 6
Suppose -5*o + 147 = -3*x, 25*o = 22*o - 2*x + 73. Factor 5*s**2 + 80*s + 22*s**3 + 17 - o*s**3 - 97.
-5*(s - 4)*(s - 1)*(s + 4)
Let p(n) be the first derivative of n**4/42 + n**3/7 + 2*n**2/7 - 195*n - 73. Let y(d) be the first derivative of p(d). Factor y(j).
2*(j + 1)*(j + 2)/7
Let q be (-44)/231*1*-18. Suppose -q*l + 2/7*l**2 - 26/7 = 0. Calculate l.
-1, 13
Let x = -33 + 52. Let n = x - 16. Solve 96*a**n + 28*a**5 - 96*a**2 + 76*a**3 - 120*a**4 + 0*a + 16*a = 0 for a.
0, 2/7, 1, 2
Let u(x) be the third derivative of -x**8/120960 + 19*x**7/15120 + 13*x**6/1440 + 37*x**5/15 - 5*x**2. Let r(v) be the third derivative of u(v). Factor r(w).
-(w - 39)*(w + 1)/6
Let v(y) be the first derivative of 1/3*y**2 + 44 - 1/18*y**4 + 0*y**3 + 4/9*y. Factor v(r).
-2*(r - 2)*(r + 1)**2/9
Let d be (1/3)/(2/18). Suppose s - 4 = -a, d*s + a - 9 = -1. Solve -4 - 5*i**s - 14*i + 20*i + 3*i**2 = 0 for i.
1, 2
Let b(q) = -45*q**5 - 3*q**4 + 6*q**3 + 3. Let n = -40 - -44. Let h(k) = k**3 + k**5 + 32*k**4 + 1 - 19*k**n - 14*k**4. Let u(t) = -b(t) + 3*h(t). Factor u(r).
3*r**3*(4*r - 1)*(4*r + 1)
Let q = -217 - -217. Let l be (64/(-24))/(6/(q + -3)). Suppose 4/3*s**3 + 1/3*s**4 - 4/3*s + s**2 - l = 0. Calculate s.
-2, -1, 1
Let m(c) be the first derivative of 41/3*c**3 + 0*c**4 + 0*c**2 - 45 - 1/540*c**6 + 0*c - 1/60*c**5. Let p(x) be the third derivative of m(x). Factor p(g).
-2*g*(g + 3)/3
Let h be (-14130)/(-36) - 1/2. Let k = 396 - h. Factor 2 + 27/2*x**2 - 25/4*x**3 - 11*x + x**k.
(x - 2)**3*(4*x - 1)/4
Let j(h) = h**3 + 94*h**2 + 720*h - 400. Let t be j(-9). Factor -3/8*w**t + 0 + 15/8*w**4 + 0*w - 21/8*w**3 + 9/8*w**2.
-3*w**2*(w - 3)*(w - 1)**2/8
Let z be 6 - -6*(4 - 83). Let c = 470 + z. Find v, given that 4/3*v - 2/9*v**2 - c = 0.
3
Let f be ((-1)/18)/(-45 - 11046/(-252)). Let i(w) be the third derivative of 0*w**4 - f*w**3 + 0 - 3*w**2 + 1/210*w**5 + 0*w. Determine p so that i(p) = 0.
-1, 1
Let p(v) = 350*v**3 - 70*v**2 + 55*v. Let h be -1 + (3 - -3 - 1). Let c(x) = -25*x**3 + 5*x**2 - 4*x. Let u(a) = h*p(a) + 55*c(a). Factor u(f).
5*f**2*(5*f - 1)
Let n(g) be the first derivative of -g**4/6 + 38*g**3/27 - 10*g**2/3 + 16*g/9 + 2253. Factor n(p).
-2*(p - 4)*(p - 2)*(3*p - 1)/9
Factor 70*v**3 - 20*v - v**4 - 74*v**3 + 20*v**2 + 68*v.
-v*(v - 4)*(v + 2)*(v + 6)
Let p(l) be the first derivative of l**5/270 - l**4/108 + 38*l**2 - 47. Let w(n) be the second derivative of p(n). Solve w(g) = 0.
0, 1
Find a, given that -36*a - 325*a + 25899*a**2 + 72 - 25894*a**2 = 0.
1/5, 72
Let j(b) be the first derivative of 15*b**4/2 + 23*b**3/2 + 9*b**2/2 - 90*b - 107. Let i(f) be the first derivative of j(f). Solve i(a) = 0 for a.
-3/5, -1/6
Let d = 146 - 143. Let l(w) = -w**2 + 12*w + 13. Let i(x) = -3*x**2 + 11*x + 14. Let y(n) = d*i(n) - 4*l(n). Let y(q) = 0. What is q?
-2, -1
Let s(q) be the second derivative of -1/4*q**5 + 5/2*q**3 + 5*q**2 + 0*q**4 + 65*q + 0. Factor s(w).
-5*(w - 2)*(w + 1)**2
Let z(y) be the third derivative of -7*y**6/540 - 43*y**5/135 - 41*y**4/27 - 40*y**3/27 - 1217*y**2. Suppose z(s) = 0. Calculate s.
-10, -2, -2/7
Let k = -1409 + 1413. Let a(h) be the second derivative of 3*h - 1/4*h**k + 3*h**3 + 0 - 27/2*h**2. Factor a(g).
-3*(g - 3)**2
Let d = 2126459/6 + -354364. Factor -d*h + 5/3*h**2 - 70/3.
5*(h - 28)*(2*h + 1)/6
Suppose -493 + 328 = -15*k. Suppose -4*x - 6 = -5*b, -12*b - 5*x + 7 = -k*b. What is v in -2/5*v - 4/15 - 2/15*v**b = 0?
-2, -1
Let x = 285/166 + -18/83. Let k(b) be the second derivative of 1/4*b**4 - x*b**3 - 11*b + 0*b**2 + 0. Factor k(q).
3*q*(q - 3)
Suppose -2*n = -5*w - 6*n + 125, 3*w - n = 58. Let i = 68 + w. Solve -i*m**3 + 20 + 123*m + 335*m**2 + 45*m**4 - 166*m**3 - 268*m = 0 for m.
1/3, 1, 4
Let z = -17257 - -17269. What is m in z + 2/3*m**2 + 22/3*m = 0?
-9, -2
Let s be ((-1 - 0)/12)/((-37)/370). Let c(x) be the first derivative of -20*x - 20*x**2 - 7 + 25/4*x**4 + x**5 - 5/3*x**3 - s*x**6. Factor c(q).
-5*(q - 2)**2*(q + 1)**3
Let m(b) be the third derivative of 2*b**7/105 - 29*b**6/120 - 61*b**5/60 - 19*b**4/24 + 3*b**3/2 - 65*b**2 + 5. Factor m(l).
(l - 9)*(l + 1)**2*(4*l - 1)
Determine a, given that a**5 + 0*a**5 - 42*a**2 - 37846*a**4 + 18925*a**4 + 18923*a**4 - 41*a**3 = 0.
-7, -1, 0, 6
Find c, given that 8*c + 0 - 2/9*c**2 - 8*c**3 + 2/9*c**4 = 0.
-1, 0, 1, 36
Let a be (460/(-483))/((-20)/56). Let n(u) be the first derivative of -1/2*u**4 + 0*u + 18 + 5*u**2 - a*u**3. Find g such that n(g) = 0.
-5, 0, 1
Let m(j) = 3*j**3 - 2*j**2 + j + 3. Let r(z) = 18*z**3 - 832*z**2 - 559*z + 3. Let v(n) = m(n) - r(n). Factor v(g).
-5*g*(g - 56)*(3*g + 2)
Let a = 3 - -1. Suppose 36*s - 30 = 33*s. Factor 15*v**a - 1112*v**2 - 5*v**5 + 1112*v**2 - s*v**3.
-5*v**3*(v - 2)*(v - 1)
Let m(z) = -9*z**3 - 67*z**2 - 163*z - 39. Let t(a) = 2*a**3 + 16*a**2 + 41*a + 9. Let i(v) = -3*m(v) - 13*t(v). Find q such that i(q) = 0.
-4, 0, 11
Suppose 1 + 53 + 18 = 18*f. Let r(d) be the first derivative of -11 - 1/12*d**3 - 1/16*d**f + 0*d**2 + 0*d. Determine n, given that r(n) = 0.
-1, 0
Suppose 215*j - 214*j = -5*k + 8, 0 = 15*j - 2*k - 43. Find z such that -26/9*z - 1 - 8/3*z**2 - 2/3*z**j + 1/9*z**4 = 0.
-1, 9
Let u be ((5/(-7))/(-5))/(-2*(427/(-210) + 2)). Factor u*a**4 + 0 - 27/7*a**3 + 3*a**2 - 3/7*a**5 - 6/7*a.
-3*a*(a - 2)*(a - 1)**3/7
Determine i so that -3/5*i**2 - 174/5*i + 177/5 = 0.
-59, 1
Let n(l) = 15*l + 137. Let j be n(-9). Factor 1503*g - 1429*g + 18 + g**2 + 7*g**j.
2*(g + 9)*(4*g + 1)
Let b be 86270/(-60389)*((-18)/(-30) + (-2 - 0)). Solve -15/2*u**3 + 0 - 9/2*u + 21/2*u**b + 3/2*u**4 = 0 for u.
0, 1, 3
Let p(u) = u**3 - 33*u**2 - 30*u - 132. Let d be p(34). Suppose -7 = -a - 5. Determine r so that 16/5*r - d + 4/5*r**a = 0.
-5, 1
Let c(x) = 9*x**4 - 406*x**3 - 8*x - 8. Let p(m) = -16*m**4 + 811*m**3 + 14*m + 14. Let i(b) = -21*c(b) - 12*p(b). Solve i(z) = 0 for z.
0, 402
Factor -166*x**2 + 150*x - 78*x**2 + 120*x**3 + 4*x**5 - 48 + 36*x**3 + 26*x - 44*x**4.
4*(x - 6)*(x - 2)*(x - 1)**3
Let w(d) = d**3 - 9*d**2 + 20*d + 4. Let l be w(4). Suppose 13*q - 15 = 8*q - o, 0 = -5*q - l*o. Factor -3/2*x**q + 3/4*x**5 + 0 + 0*x**2 + 0*x + 3/4*x**3.
3*x**3*(x - 1)**2/4
Let q(u) be the first derivative of 5*u**3/3 + 45*u**2/2 - 50*u + 1447. Determine y so that q(y) = 0.
-10, 1
Let w(l) be the second derivative of -l**6/60 + 3*l**5/10 + 13*l**4/24 + 1413*l + 1. Factor w(h).
-h**2*(h - 13)*(h + 1)/2
Let m(g) be the second derivative of -4/9*g**3 + 1/36*g**4 + 0 - 46*g + 7/6*g**2. Factor m(y).
(y - 7)*(y - 1)/3
Suppose -228 = -6*s - 6*s. Let r = s - 22. Let t(n) = -35*n**2 - 20*n + 20. Let g(u) = 5*u**2 + 3*u - 3. Let o(b) = r*t(b) - 20*g(b). Factor o(l).
5*l**2
Let h = 29942 - 29942. Let o(n) be the third derivative of -1/150*n**5 + 3/5*n**3 + 0*n + h + 2/15*n**4 + 20*n**2. Factor o(m).
-2*(m - 9)*(m + 1)/5
Factor -25*w - 1/4*w**4 + 0 - 75/4*w**2 + 6*w**3.
-w*(w - 20)*(w - 5)*(w + 1)/4
Factor -766/5*o**2 - 2/5*o**3 + 758 - 3022/5*o.
-2*(o - 1)*(o + 5)*(o + 379)/5
Factor -d**2 + 1/3*d**4 - 107/3*d + 35/3*d**3 - 70/3.
(d - 2)*(d + 1)**2*(d + 35)/3
S