**2 + s = 0.
-3, 0
Let m be ((-56)/(-36))/7 + 22484/(-36). Let l = m + 629. Factor l*d**3 + 28*d + 12 + 1/3*d**4 + 61/3*d**2.
(d + 1)**2*(d + 6)**2/3
Let d be ((-64)/126)/(37/(-555))*117/52. Determine r so that 0 + 142/7*r**4 - 20/7*r**2 + 26/7*r**3 + 0*r - d*r**5 = 0.
-2/5, 0, 1/3, 5/4
Let q(x) = -24*x**2 + 627*x - 76. Let i be q(26). Factor -2*d**i + 0 + 4/5*d.
-2*d*(5*d - 2)/5
Determine s, given that 391*s**2 + 199*s**2 - 33904 - 479*s + 17279*s + 5*s**3 - 2096 = 0.
-60, 2
Factor -7860 + 64*p**3 + 27500*p**2 - 19654*p + 83*p**3 - 133*p**3.
2*(p - 1)*(p + 1965)*(7*p + 2)
Let q(o) be the third derivative of -o**7/630 + o**5/4 - 35*o**4/18 + 16*o**3/3 + 13*o**2 + 4*o. Find d, given that q(d) = 0.
-8, 1, 3, 4
Let l(f) be the third derivative of -1/2*f**3 - 1/72*f**4 + 1/360*f**6 + 4*f + 0 - 8*f**2 + 1/20*f**5. Factor l(w).
(w - 1)*(w + 1)*(w + 9)/3
Find y, given that 3/4*y**3 - 1557/4*y + 594 + 123/2*y**2 = 0.
-88, 3
Let x = -481/7 - -69. Let g(v) be the first derivative of 5 + 1/21*v**3 + 4/7*v + x*v**2. Let g(d) = 0. What is d?
-2
Let s(a) = 65*a**2 - 1946*a - 118. Let q be s(30). Factor 1/3*g**4 + 0*g**3 - g**q - 2/3*g + 0.
g*(g - 2)*(g + 1)**2/3
Suppose -14*m + 3*v = -11*m - 21, 4*m - 14 = -3*v. Let r(w) be the third derivative of 0 + 1/4*w**4 + 2/3*w**3 + 1/30*w**m - 16*w**2 + 0*w. Factor r(z).
2*(z + 1)*(z + 2)
Factor 2928/7*y + 9000/7 - 2/7*y**3 + 226/7*y**2.
-2*(y - 125)*(y + 6)**2/7
Let c(a) be the first derivative of -a**6/10 + 72*a**5/25 + 4101*a**4/20 + 13242*a**3/5 + 33726*a**2/5 + 31752*a/5 - 1567. Find m such that c(m) = 0.
-14, -1, 54
Factor -61*p + 1/2*p**2 + 348.
(p - 116)*(p - 6)/2
Factor 1637 - 1682*c + 108*c**2 - 106*c**2 + 43.
2*(c - 840)*(c - 1)
Let a be 0/((1/13)/((-73)/(-949))). Let q(t) be the third derivative of 0*t + 0*t**3 + 1/15*t**6 + 1/4*t**4 + 13/30*t**5 + a - 31*t**2. Factor q(w).
2*w*(w + 3)*(4*w + 1)
Let r = 170158/199269 + 92/28467. Solve -r*j**2 + 4/7*j**3 - 8/7 - 16/7*j + 2/7*j**4 = 0.
-2, -1, 2
Let o = -82 - -88. Let b be 34/5*((-68)/(-8) - o). Factor -b*v**5 - 8*v**4 + 6*v**3 - 20*v**5 + 39*v**5.
2*v**3*(v - 3)*(v - 1)
Suppose 1125 = 5*k + 1115. Suppose -92*a**k - 27*a**4 + 20*a**5 - 50*a**3 - 16*a**2 + 64*a - 46*a**3 + 59*a**4 - 20*a**2 = 0. What is a?
-2, 0, 2/5, 2
Suppose v - 5*b + 49 = 0, 0 = -30*b + 26*b + 12. Let t be 58/(-10) + (-238)/v. Determine l, given that 2/5*l**3 + 0 + t*l + 8/5*l**2 = 0.
-3, -1, 0
Suppose -4/9*h**4 - 206116/9*h**2 + 1816/9*h**3 + 0 + 0*h = 0. Calculate h.
0, 227
Find d, given that -98*d**2 - 5*d**4 - 5*d**2 + 70*d - 178*d**3 + 0*d**4 = 0.
-35, -1, 0, 2/5
Suppose -11/3*n**2 + 1/3*n**3 - 505/3*n - 493/3 = 0. What is n?
-17, -1, 29
Factor -67*v**4 - 103*v**3 + 160*v + 7*v**5 - 93*v**4 - 512*v**2 + 56*v**3 + 179*v**4 - 127*v**3.
v*(v - 5)*(v + 4)**2*(7*v - 2)
Let d(q) = 3*q**2 + q - 1. Let n(m) = -25*m**2 + 14*m + 7. Let h(f) = 5*d(f) + n(f). Factor h(o).
-(o - 2)*(10*o + 1)
Let v(i) be the first derivative of -83 + 9/2*i**2 + 3/4*i**4 + 0*i - 4*i**3. Determine o, given that v(o) = 0.
0, 1, 3
Let u(h) = -h**2 - 13*h - 30. Let f be u(-8). Suppose 0 = -5*y + 4*a + 5 - f, 0 = a - 5. Find c, given that -8/11*c**2 - 8/11*c**y - 2/11*c + 0 = 0.
-1/2, 0
Factor -30 - 13*v + 17/2*v**2 + 13/4*v**3 - 1/4*v**4.
-(v - 15)*(v - 2)*(v + 2)**2/4
Suppose 8*d - 468 = -5*d. Let i = d - 104/3. Factor 0 + 4/3*t**2 + i*t**4 - 1/3*t**5 - 2*t**3 - 1/3*t.
-t*(t - 1)**4/3
Let l(i) be the second derivative of -3*i**5/20 + 19*i**4/2 + 79*i**3/2 + 60*i**2 - 349*i - 2. Factor l(b).
-3*(b - 40)*(b + 1)**2
Factor 93 + 7*l - 12 + 2*l - 10*l**2 - 6*l.
-(l - 3)*(10*l + 27)
Suppose -1969*z = -2027*z + 174. Factor -51/8*f - 15/4*f**2 - 3/8*f**z - 3.
-3*(f + 1)**2*(f + 8)/8
Let t(q) be the second derivative of -q**7/30 + 13*q**6/18 - 37*q**5/15 + 8*q**4/3 - 23*q**3/2 + 75*q. Let y(a) be the second derivative of t(a). Factor y(l).
-4*(l - 8)*(l - 1)*(7*l - 2)
Let j(d) be the first derivative of 52 - 8/7*d**2 + 4/7*d**3 + 6/7*d - 2/35*d**5 + 0*d**4. Determine z so that j(z) = 0.
-3, 1
Let x(l) be the third derivative of 1/1080*l**6 + 0 + 0*l + 20/3*l**3 - 1/120*l**5 - l**2 + 1/36*l**4. Let p(a) be the first derivative of x(a). Solve p(i) = 0.
1, 2
Let u(p) be the second derivative of 1/18*p**3 - 144 - 1/36*p**4 - 1/60*p**5 + 2*p + 1/6*p**2. Factor u(k).
-(k - 1)*(k + 1)**2/3
Suppose 9 = -2*h - h, 4*j + h - 13 = 0. Let o be -1 + (-18)/(-16) - 18/144. Factor -s**5 + 2*s**2 - 228*s + o*s**2 - 2*s**j + 229*s.
-s*(s - 1)*(s + 1)**3
Let u be 4114/6 - (-10 - 288/(-27)). Let b = -683 + u. Let 1/5*f - 1/5*f**b + 0 = 0. What is f?
0, 1
Let r(q) be the third derivative of -q**7/2520 + q**5/120 - q**4/12 - 71*q**3/6 - 2*q**2 - 33. Let x(j) be the second derivative of r(j). Solve x(b) = 0.
-1, 1
Let d be (2/(-10))/((-3)/60). Solve 8*c**4 + 2 - 5*c**2 - 4*c**4 - 7*c + 7*c**3 - d*c**2 + 3*c**2 = 0 for c.
-2, -1, 1/4, 1
Suppose -3128*p = -2841*p - 574. Determine l, given that p*l - 28/5 + 2/5*l**2 = 0.
-7, 2
Suppose 0 = -29*b + 20*b + 36. Factor -6 + 141*o**2 - b*o + 6 - 11*o**3 - 156*o**2.
-o*(o + 1)*(11*o + 4)
Factor 153/5 - 5/2*f - 1/10*f**2.
-(f - 9)*(f + 34)/10
Suppose 5*d + 34/3 - 1/3*d**2 = 0. What is d?
-2, 17
Factor -3256*q + 4165*q - 19*q**2 - 227 + 15*q**2.
-(q - 227)*(4*q - 1)
What is m in 12*m**2 - 7*m**2 + 54*m + 106*m - 122*m**3 + 3*m**4 - 38*m**3 - 8*m**4 = 0?
-32, -1, 0, 1
Let u(d) be the first derivative of -2/165*d**5 + 0*d + 0*d**3 - 7 + 1/660*d**6 - 6*d**2 + 0*d**4. Let o(r) be the second derivative of u(r). Factor o(j).
2*j**2*(j - 4)/11
Let u be (34 + 74308/(-2184))/((-1)/18). Factor -9/7*y**3 - 3/7*y + 0 - u*y**4 - 9/7*y**2.
-3*y*(y + 1)**3/7
Let g(p) = 12*p**2 + 78*p - 492. Let d(t) = -4*t**2 - 3*t + 5. Let m(j) = 7*j**2 + 5*j - 8. Let v(f) = -5*d(f) - 3*m(f). Let h(n) = g(n) + 15*v(n). Factor h(l).
-3*(l - 13)**2
Let v = -147/4 + 37. Suppose -3*p - 78 = x - 50, -5*x + 60 = -5*p. Factor -3/8 - v*n + 1/8*n**x.
(n - 3)*(n + 1)/8
Let q(i) be the second derivative of -1/80*i**4 + 8*i - 27/2*i**2 - 1/150*i**5 + 0 + 1/60*i**3. Let g(b) be the first derivative of q(b). Factor g(w).
-(w + 1)*(4*w - 1)/10
Let a(n) be the first derivative of -n**6/120 + 13*n**5/80 + 5*n**4/48 + 74*n**2 + n - 15. Let w(o) be the second derivative of a(o). Factor w(d).
-d*(d - 10)*(4*d + 1)/4
Let u be (-368)/(-1564) - 3/(-204). Solve 1/4*x**2 + 1/2*x + u = 0 for x.
-1
Let a(x) be the second derivative of x**4/30 + 13*x**3 - 394*x**2/5 + 73*x - 11. Solve a(l) = 0.
-197, 2
Let r be (105/245)/((-1)/(-7)) + -2. Let d be -14*11/(-154) - r/4. Let 3/4*m**3 - d*m**2 - 3/2*m + 0 = 0. What is m?
-1, 0, 2
Solve -7922*w**2 + 2*w**3 + 15774*w**2 + 244*w - 7978*w**2 = 0.
0, 2, 61
Suppose 213568*z - 1290496/3 + 756*z**2 + 2/3*z**3 = 0. What is z?
-568, 2
Let j(n) be the third derivative of -1 - 7/96*n**4 - 2*n**2 + 1/6*n**3 + 1/480*n**6 + 0*n + 1/120*n**5. What is a in j(a) = 0?
-4, 1
Let o(f) be the first derivative of f**4/16 - 65*f**3/12 - f**2/8 + 65*f/4 + 2046. Factor o(g).
(g - 65)*(g - 1)*(g + 1)/4
Let h(q) be the second derivative of q**6/24 + 3*q**5/8 + 5*q**4/6 - 2*q - 1589. Factor h(s).
5*s**2*(s + 2)*(s + 4)/4
Suppose 3*d = -3*j - 42, -4*d + 5 = -15. Let g = j - -20. Factor -g + 6*v - v**2 - 2*v**2 + 4 + 6.
-3*(v - 3)*(v + 1)
Let o be (11/(-6) - -2)/(-3 - (-45)/10). Let x(j) be the first derivative of -3 + 0*j**4 + o*j**2 - 4/27*j**3 + 0*j - 1/27*j**6 + 4/45*j**5. Factor x(c).
-2*c*(c - 1)**3*(c + 1)/9
Let m(a) = 16*a**3 + 2 + 9*a**2 - 1 - 2*a - 8*a**2. Let o be m(1). Factor -14*u + 17*u + o - 3*u**2 - 10.
-3*(u - 2)*(u + 1)
Let p = 505971/2 + -252981. Find k such that 0*k**2 - p*k + 25/2*k**3 + 0 = 0.
-3/5, 0, 3/5
Let s(r) = -8*r**2 - 44*r - 20. Let l = 79 + -73. Let j(h) = -8*h**2 - 44*h - 20. Let q(k) = l*j(k) - 5*s(k). What is n in q(n) = 0?
-5, -1/2
Suppose 557 + 645 = -273*v + 874*v. Factor -20/9 + 14/9*x**v + 2*x.
2*(x + 2)*(7*x - 5)/9
Suppose 0 = -9*g + 4*g + 275. Factor -g - 37*l**2 + 42*l**2 - 51*l - 9*l + 10*l.
5*(l - 11)*(l + 1)
Let j(w) be the first derivative of w**3/24 + 63*w**2/16 + 45*w/2 + 5427. Suppose j(g) = 0. What is g?
-60, -3
Let y be (-1)/((-14)/100) + -34 + -5 + 32. Let x(d) be the second derivative of 1/42*d**4 + y*d**2 + 0 + 2/21*d**3 + 22*d. Determine g, given that x(g) = 0.
-1
Let p(i) be the second deri