 -1, -1/4, 1
What is x in 1548*x + 4/5*x**3 + 1620 - 356/5*x**2 = 0?
-1, 45
Let u(z) be the second derivative of -5*z**4/3 + 2*z**3 + 4*z**2 - 2*z - 27. Solve u(c) = 0 for c.
-2/5, 1
Let n be ((-684)/52 - -13)*(-3 - 1 - -3). Determine f, given that -2/13*f**2 + 0 + n*f = 0.
0, 1
Suppose 2/15*d**2 + 16*d - 242/15 = 0. What is d?
-121, 1
Let c(b) = 3*b + 41. Let q(w) = w + 20. Let p(y) = -2*c(y) + 5*q(y). Let n be p(13). Factor -a**5 + 2*a**3 + 2*a**2 - 3*a**n + 2*a**5 - 2*a**4.
-2*a**2*(a - 1)*(a + 1)**2
Let w(b) be the first derivative of 3*b**4/4 + 25*b**3 + 252*b**2 + 432*b - 112. Factor w(v).
3*(v + 1)*(v + 12)**2
Let r = 688 + -686. Let 4/3*y - 1/3*y**4 - r*y**2 - 1/3 + 4/3*y**3 = 0. What is y?
1
Suppose -24 = 2*p - 4*o, 5*p + 4*o - 10 = 28. Let s be (-6)/((-5)/((-15)/(-6))). Find r such that 2/5*r - 4/5 + 1/5*r**p - 1/10*r**s = 0.
-2, 2
Let v(z) be the third derivative of z**5/20 - z**3/2 + 54*z**2. Let c(d) = -2*d**2 + 2. Suppose 0 = -t - 3*t + 20. Let f(r) = t*v(r) + 7*c(r). Factor f(h).
(h - 1)*(h + 1)
Let i be 32*((-55)/(-20) + 10/(-4)). Let l(u) be the second derivative of -1/12*u**3 + 0 - 1/120*u**5 - 1/24*u**4 - i*u - 1/12*u**2. Factor l(s).
-(s + 1)**3/6
Determine p, given that 0 + 10*p - 7*p**2 - 3/2*p**3 + 7/4*p**4 - 1/4*p**5 = 0.
-2, 0, 2, 5
Let p(d) be the third derivative of -d**8/840 + 8*d**7/525 - 7*d**6/100 + 11*d**5/75 - 2*d**4/15 + 3*d**2 + 9*d. What is u in p(u) = 0?
0, 1, 2, 4
Let c(a) = -a**3 - a**2 + a + 1. Let l(r) = -10*r**2 + 7*r + 10 - 8*r**3 - 4*r + r + 4*r. Let h(w) = 52*c(w) - 6*l(w). Find b, given that h(b) = 0.
-1, 1, 2
Let w(h) be the third derivative of 0*h**4 + 0 + 0*h**3 - 5/12*h**6 + 1/42*h**7 + 0*h - 8*h**2 + 4/3*h**5. Find p, given that w(p) = 0.
0, 2, 8
Factor -30*t + 18 - 23/2*t**2 - t**3.
-(t + 6)**2*(2*t - 1)/2
Suppose 0*m + p + 11 = -m, 0 = -5*m + 4*p - 73. Let u be 2/m - (-287)/91. Factor -1/5*y**4 + 0 - 4/5*y**u - 2/5*y - y**2.
-y*(y + 1)**2*(y + 2)/5
Let b(r) = -10*r**3 - 90*r**2 - 140*r - 70. Let f(l) = 15*l**3 + 135*l**2 + 209*l + 105. Let z(y) = 8*b(y) + 5*f(y). Factor z(a).
-5*(a + 1)**2*(a + 7)
Suppose -g - 4 = -7. Let v(f) be the second derivative of 4*f - 1/9*f**2 + 1/54*f**4 + 0 + 0*f**g. Let v(k) = 0. Calculate k.
-1, 1
Let t(d) be the third derivative of d**6/24 + d**5/3 - 55*d**4/24 + 5*d**3 + 94*d**2. Factor t(x).
5*(x - 1)**2*(x + 6)
Let y(r) be the first derivative of -r**6/24 - r**5/10 + 11*r**4/16 + 10*r**3/3 + 11*r**2/2 + 4*r - 85. What is k in y(k) = 0?
-2, -1, 4
Suppose 5*y - 139 = 71. Suppose -y = -4*n - 14. What is o in -o**4 - 31*o**3 + 27*o**3 - n*o**4 - 4*o**5 = 0?
-1, 0
Let x = 28391/35 - 811. Let a(q) be the second derivative of -1/21*q**6 - 3/14*q**4 + 0 - 7*q - 2/21*q**3 + 0*q**2 - x*q**5. Factor a(g).
-2*g*(g + 1)**2*(5*g + 2)/7
Let t(o) be the first derivative of 5*o**4/4 + 25*o**3/3 - 5*o**2/2 - 25*o + 74. Determine u, given that t(u) = 0.
-5, -1, 1
Let z be -6 + (7950/80)/15. Let f(d) be the first derivative of 6 - 1/12*d**3 - d - z*d**2. Factor f(y).
-(y + 1)*(y + 4)/4
Let g = 5589 + -72649/13. Factor 0 + 2/13*w**3 + 8/13*w + g*w**2.
2*w*(w + 2)**2/13
Let y(v) be the first derivative of -v**4 + 4*v**3/3 + 42*v**2 - 180*v - 60. Solve y(r) = 0 for r.
-5, 3
Let -18/7*v**2 + 3*v - 3/7*v**3 + 0 = 0. Calculate v.
-7, 0, 1
Let y(i) = -i**3 + 4*i**2 + 1. Let b(v) = 2*v**3 - 19*v**2 - 4*v + 9. Let o(t) = -2*b(t) - 6*y(t). Factor o(m).
2*(m - 1)*(m + 2)*(m + 6)
Let y(n) be the second derivative of -n**3/3 - 2*n**2 - 5*n. Let x be y(-4). Find h, given that -4 + x*h**2 + 5 - 5*h**2 = 0.
-1, 1
Suppose -231*o - 236*o = -489*o. Determine f so that -4/5*f**4 + o + 12/5*f**3 - 4/5*f**5 + 4*f**2 + 8/5*f = 0.
-1, 0, 2
Let t = 776/15 + -1547/30. Suppose 1 - t*m**2 + 1/6*m = 0. What is m?
-2, 3
Factor 29*h - 38*h - 5*h**2 - 16*h + 180.
-5*(h - 4)*(h + 9)
Let h(m) be the first derivative of 1 + 0*m**2 + 8*m + 2/9*m**3 + 1/6*m**4 + 1/30*m**5. Let y(c) be the first derivative of h(c). Factor y(t).
2*t*(t + 1)*(t + 2)/3
Let u(o) be the third derivative of 1/12*o**4 - 3*o**2 - 1/90*o**5 + o**3 + 0*o + 0 - 1/540*o**6. Determine b so that u(b) = 0.
-3, 3
Let f(i) be the third derivative of -i**7/11340 + i**6/3240 + 2*i**4/3 + 10*i**2. Let j(v) be the second derivative of f(v). Factor j(m).
-2*m*(m - 1)/9
Let c(s) be the third derivative of -16*s**2 - 1/16*s**6 - 1/2*s**3 - 1/140*s**7 - 9/40*s**5 - 7/16*s**4 + 0 + 0*s. Factor c(w).
-3*(w + 1)**3*(w + 2)/2
Let a(d) = -d**2 - 5*d + 5. Let b be a(-5). Let s(p) be the second derivative of -1/4*p**4 - 1/2*p**3 + 3/2*p**2 + 0 + 3/20*p**b - 2*p. Factor s(u).
3*(u - 1)**2*(u + 1)
Suppose 801*b = 799*b - 4*r - 18, 3*r + 30 = 4*b. Let -1/2*h**b + 3/2*h**2 - 1 - 1/2*h**4 + 1/2*h = 0. Calculate h.
-2, -1, 1
Let s = 32841/14371 - -1/2053. Factor -s*o - 4/7*o**2 - 12/7.
-4*(o + 1)*(o + 3)/7
Let o be -4 + 33*44/360. Let f(h) be the second derivative of 0 - 2/5*h**2 - o*h**4 + 1/5*h**3 + h. Factor f(c).
-2*(c - 2)*(c - 1)/5
Let r(m) be the first derivative of m**5/4 - 25*m**4/8 - 115*m**3/12 + 150*m**2 + 720*m - 3. Factor r(v).
5*(v - 8)**2*(v + 3)**2/4
Factor -1/4*u**2 - 3/2 + 7/4*u.
-(u - 6)*(u - 1)/4
Let k(a) be the third derivative of a**4/24 + 5*a**3/2 + 52*a**2. Let q be k(-15). Determine c, given that 4/3*c**3 + q + 0*c - 4/3*c**2 = 0.
0, 1
Let k(n) = -n**2 + 1. Let h be k(2). Let i be 22/(-6) - h - (-1)/1. Factor 2/3*u + 0 + i*u**4 + 5/3*u**2 + 4/3*u**3.
u*(u + 1)**2*(u + 2)/3
Suppose 4*b - 12/7*b**2 + 24/7 - 12/7*b**3 + 4/7*b**4 = 0. Calculate b.
-1, 2, 3
Let w be (-3 - 70/(-25))*2/(-6). Let i(j) be the third derivative of -1/40*j**4 - w*j**3 + 3*j**2 - 1/300*j**5 + 0 + 0*j. Suppose i(y) = 0. Calculate y.
-2, -1
Determine v, given that 62*v**3 - 4*v**4 + 0*v**2 - 127*v**3 + 69*v**3 + 8*v**2 = 0.
-1, 0, 2
Let f(d) be the second derivative of -d**4/48 - 17*d**3/24 + 9*d**2/4 - d - 3. Let f(i) = 0. Calculate i.
-18, 1
Factor 12 - 40/3*r + 13/3*r**2 - 1/3*r**3.
-(r - 9)*(r - 2)**2/3
Let a(n) = 6*n**2 + 31*n + 25. Let d(s) = -s**2 - 5*s - 4. Let v(w) = 6*a(w) + 39*d(w). Factor v(z).
-3*(z + 1)*(z + 2)
Let q(c) be the second derivative of -c**5/70 - c**4/42 + 4*c**3/7 - 24*c + 2. Suppose q(b) = 0. Calculate b.
-4, 0, 3
Let u be 3/((-5 + 1)/(-4)). Factor 7*i**3 + i**3 + 15*i**2 - 25*i + 10 - u*i**3 - 5*i**4.
-5*(i - 1)**3*(i + 2)
Let u(j) be the first derivative of -2*j**3/3 + 10*j**2 + 22*j - 52. Find b such that u(b) = 0.
-1, 11
Let g(i) be the third derivative of i**8/840 - i**6/60 + i**5/30 - 7*i**3/6 - 4*i**2. Let c(n) be the first derivative of g(n). Factor c(m).
2*m*(m - 1)**2*(m + 2)
Let j = -5 - 22. Let i be 1 + -1 + j/(-12) + -2. Factor 1/4*g + 0 - 3/4*g**2 - i*g**4 + 3/4*g**3.
-g*(g - 1)**3/4
Factor -63*j**3 - 9*j**5 - 64*j**2 + 11*j**5 + 10*j**4 + 51*j**3 + 64*j.
2*j*(j - 2)*(j - 1)*(j + 4)**2
Let a be (2775/(-1554))/(15/(-12)). Let a*t**3 - 18/7*t**2 + 0 - 4/7*t = 0. What is t?
-1/5, 0, 2
Let c(a) be the first derivative of -2*a**3/3 + 244*a**2 - 29768*a - 189. Solve c(x) = 0 for x.
122
Factor -4 - 147*y + 31*y**2 - 23*y**2 + 143*y.
4*(y - 1)*(2*y + 1)
Factor -864 + 1/2*h**3 + 216*h - 18*h**2.
(h - 12)**3/2
Find p, given that -46/9*p**3 - 8 - 22/9*p**4 + 94/9*p**2 - 2/9*p**5 + 16/3*p = 0.
-6, -1, 1
Let s(p) be the first derivative of -p**4/16 - 17*p**3/12 - 27*p**2/8 + 45*p/4 + 534. Factor s(z).
-(z - 1)*(z + 3)*(z + 15)/4
Let q be ((-6)/(-8) - 1)*(5 + -5 + -8). What is v in -2/5*v**q - 2/5*v + 0 = 0?
-1, 0
Let h(p) be the second derivative of 0*p**2 - 28*p + 1/4*p**4 - 1/4*p**3 - 3/40*p**5 + 0. Factor h(n).
-3*n*(n - 1)**2/2
Let b be (-104)/60 + 3 - 1. Let s(z) be the second derivative of 0 - 4*z - 1/25*z**6 + 1/5*z**5 + 4/5*z**2 - b*z**3 - 7/30*z**4. Find g, given that s(g) = 0.
-2/3, 1, 2
Let g(w) = -w**3 - 5*w**2 - w + 3. Suppose 0 = 2*s + 5 + 5. Let c be g(s). Factor 3 + 1 + c*t + t**2 + 3*t**2.
4*(t + 1)**2
Let a be (-1045)/2530 + 2/4. Solve -12/23 + 2/23*k**2 + a*k = 0 for k.
-3, 2
Let g(k) be the first derivative of 4*k**3/9 - 2*k**2/3 - 8*k/3 + 12. Suppose g(y) = 0. Calculate y.
-1, 2
Let d = 118 + -123. Let n(b) = b + 5. Let c be n(d). Factor 2/3*u**2 + c + 2/3*u.
2*u*(u + 1)/3
Factor -12538*o**3 - 12080*o - 48697*o**2 - 11881 - 221*o**4 - o**5 - 23781*o + 12399*o**2.
-(o + 1)**3*(o + 109)**2
Suppose 0 = -18*k + 21*k - 21. Fa