(k + 1)**2/3
Let t(u) be the first derivative of 5*u**5/4 + 20*u**4 + 286*u**3/3 + 96*u**2 + 36*u - 396. Let t(l) = 0. What is l?
-6, -2/5
Let z = 8/3773 + 15052/18865. Factor 2/5*h**2 + 0 + 0*h - h**3 - 1/5*h**5 + z*h**4.
-h**2*(h - 2)*(h - 1)**2/5
Let j be (1 - 33/9)*(-129)/86. Find h, given that 1/5*h + 3/5*h**2 - 2/5 - 1/5*h**3 - 1/5*h**j = 0.
-2, -1, 1
Suppose 4*a + 4 + 4 = 4*n, -5*n = 4*a - 37. Let 2*x**3 - a*x**3 + 3*x**2 + 0*x**3 = 0. Calculate x.
0, 3
Let f(m) = 83*m - 992. Let p be f(12). What is d in -1/3*d**5 + 1/3*d**2 - 2/3*d - 1/3*d**p + 0 + d**3 = 0?
-2, -1, 0, 1
Let d(a) be the third derivative of 3/44*a**4 - 2/33*a**3 + 0*a + 0 - 20*a**2 + 1/132*a**6 - 2/55*a**5. Factor d(r).
2*(r - 1)**2*(5*r - 2)/11
Solve 19*y - 18*y**4 - 224*y**3 + 66*y**3 + 2*y - 216*y**2 + 35*y = 0.
-7, -2, 0, 2/9
Let d(m) be the second derivative of m**4/18 - 13*m**3/9 + 4*m**2 + 28*m. Factor d(r).
2*(r - 12)*(r - 1)/3
Let m be -1 + (-146)/(-10) + 8/20. Factor -2*k**2 - m*k + 6*k + 6 - 14.
-2*(k + 2)**2
Suppose 2*q = -5*b + 17, -3*b + 26 = -b - 4*q. Find y, given that -b + 41*y - 41*y + 5*y**2 = 0.
-1, 1
Factor -4*d**5 + 498*d**2 - 154*d**2 + 180*d**4 - 172*d**2 - 348*d**3.
-4*d**2*(d - 43)*(d - 1)**2
Let s(g) = g**2 - 18*g + 40. Let x be s(4). Let u be (x/(-12))/((-80)/(-24)). Factor 4/15 + u*o + 2/15*o**2.
2*(o + 1)*(o + 2)/15
Suppose 11 = -3*j + 4*w, -j - 5*w + 7 = -2. Let z be 2170/1575 + (j - (-22)/18). Determine v, given that -8/5*v + 2/5*v**2 + z = 0.
2
Let s(c) be the third derivative of c**9/4536 + c**8/2520 - 10*c**3/3 + 3*c**2. Let j(m) be the first derivative of s(m). Solve j(t) = 0.
-1, 0
Suppose -a = -3*a - 4*a. Suppose a = -12*q + 14*q - 16. Find l, given that 0 - 2/3*l**2 - 2/3*l + q*l**3 = 0.
-1/4, 0, 1/3
Let h be 132/84 - 6/(-14). Let i be h/(-12)*(1 + (-7 - -2)). Determine g so that 2*g**2 - 10/3*g + i*g**3 - 2/3*g**4 + 4/3 = 0.
-2, 1
Let y(v) be the third derivative of 5*v**7/84 + 17*v**6/16 + 45*v**5/8 + 125*v**4/48 - 136*v**2 - 1. Let y(n) = 0. Calculate n.
-5, -1/5, 0
Factor -24*r**3 + 17*r**3 + 12*r - 160*r**2 + 11*r**3 - 176*r.
4*r*(r - 41)*(r + 1)
Let l(s) be the first derivative of 1/8*s**2 + 26 + 1/2*s - 1/12*s**3. Determine n so that l(n) = 0.
-1, 2
Let h = -103 - -105. Let a(b) be the second derivative of 0 + 4*b**2 + h*b + 1/5*b**5 - 2*b**3 + 0*b**4. Determine d, given that a(d) = 0.
-2, 1
Let h(b) be the third derivative of b**6/120 - b**3/6 + 12*b**2. Let x(r) = 9*r**3 + 15*r**2 - 24. Let j(d) = -4*h(d) + x(d). Factor j(i).
5*(i - 1)*(i + 2)**2
Let m(g) be the second derivative of 3*g**5/20 + 7*g**4/2 + 43*g**3/2 + 45*g**2 - 4*g - 4. Determine s, given that m(s) = 0.
-10, -3, -1
Factor -65/6*m**3 + 32/3*m + 25/6*m**4 - 16/3 + m**2.
(m - 2)*(m + 1)*(5*m - 4)**2/6
Let g(h) be the first derivative of 7 - 7/25*h**5 - 19/20*h**4 + 14/5*h**2 + 2/5*h**3 - 8/5*h. Determine z, given that g(z) = 0.
-2, 2/7, 1
Let m(q) be the third derivative of -q**7/70 + 3*q**6/5 - 161*q**2 - 2. Factor m(r).
-3*r**3*(r - 24)
Factor 3/2*c**4 - 3/2*c**2 + 21/2*c**3 + 0 - 21/2*c.
3*c*(c - 1)*(c + 1)*(c + 7)/2
Let a(f) be the second derivative of -2 - 19/45*f**6 + 0*f**2 + 1/9*f**3 + 2/21*f**7 + 7/10*f**5 - 3*f - 1/2*f**4. Factor a(y).
2*y*(y - 1)**3*(6*y - 1)/3
Let o(t) be the third derivative of 0 + 0*t + 1/8*t**4 - 11*t**2 + 0*t**3 + 1/20*t**5. Factor o(f).
3*f*(f + 1)
Let z be 23/6 - 1/(-6). Suppose 0*c - f = -c + 2, -f + 13 = z*c. Suppose -4*o**4 - 2*o**3 - o - 2*o**2 + o - 4*o**c = 0. Calculate o.
-1, -1/2, 0
Suppose 0*a - 5*a + 25 = 0. Suppose 2*q - 4*q + 2*z = 4, -3*q - 2*z + 4 = 0. Factor 3/7*t**2 + q + 3/7*t**3 - 3/7*t**4 - 3/7*t**a + 0*t.
-3*t**2*(t - 1)*(t + 1)**2/7
Let w be 36/216 + (-74)/12 - -6. Suppose 0*d - 2/15*d**4 + w - 2/15*d**3 + 4/15*d**2 = 0. What is d?
-2, 0, 1
What is x in 7*x - 47*x - 6*x + x - 5*x**2 = 0?
-9, 0
Let a(w) = -w**3 + 9*w**2 - 11*w + 28. Let y be a(8). Suppose -2/9*c**y + 2/9*c**2 + 0 - 4/9*c + 4/9*c**3 = 0. Calculate c.
-1, 0, 1, 2
Suppose 0*f + 7*f - 231 = 0. Suppose -3*z + 5*x = -31, -4*z + x + 4*x + f = 0. Factor -r**z - 2*r**3 + 9*r**3 - 8*r**3.
-r**2*(r + 1)
Suppose -13*n + 24 = -15. Let u(y) be the first derivative of 1/2*y**2 - 1/4*y**4 + y + 1 - 1/3*y**n. Factor u(h).
-(h - 1)*(h + 1)**2
Let d(j) = -j**2 + 8*j - 9. Suppose 0 = 2*v + 2, -v - 19 = -6*q + 3*q. Let z be d(q). Factor -l - 6*l**3 - 4*l**3 - l**5 + 3*l**z + 4*l**4 + 4*l**2 + l**3.
-l*(l - 1)**4
Factor -2/11*k**3 - 29400/11*k - 420/11*k**2 - 686000/11.
-2*(k + 70)**3/11
Let q(c) = -22*c**2 - 2*c + 16. Let o(z) = -1 + 9*z**2 - 2*z**2 - 4 + z + 0*z. Let h(s) = 16*o(s) + 5*q(s). Let h(v) = 0. Calculate v.
-3, 0
Suppose -b + 8 = 2*f, -f - 3*f + 28 = 5*b. Let -111*y**2 - 6*y**3 + 141*y**f - 40*y**4 - 14*y**3 + 5 + 25*y = 0. Calculate y.
-1/2, 1
Let p(v) be the second derivative of -5 - 7*v - 1/4*v**4 - 11/6*v**3 + 1/30*v**6 + 3/20*v**5 - 3*v**2. Determine d, given that p(d) = 0.
-3, -1, 2
Factor -39777*t**2 + 286*t**3 + 2913*t**2 + 482*t**3 - 7*t**4 + 3*t**4.
-4*t**2*(t - 96)**2
Let z = 4118987/140 - 29421. Let j = z + -3/35. Determine x so that 1/2 - 1/4*x**2 + j*x = 0.
-1, 2
Suppose 8 = 3*k - z, 4*k = 7*k - 4*z + 4. Find h, given that 18/7*h**5 - 4/7*h**3 + 2/7 - 30/7*h**4 + k*h**2 - 2*h = 0.
-1, 1/3, 1
Solve 100*o**2 - 3*o**4 - 9*o**3 + 80*o**3 + 32*o**2 - 11*o**3 = 0 for o.
-2, 0, 22
Let a(v) = -v**2 - 13*v. Let o be a(-11). Factor o*c**2 + 15*c**3 + 5*c**5 + 6*c - 20*c**4 - 26*c - 2*c**2.
5*c*(c - 2)**2*(c - 1)*(c + 1)
Let g(x) be the second derivative of 175*x**4/36 + 13*x**3/6 + x**2/3 - 567*x. What is j in g(j) = 0?
-1/7, -2/25
Factor 98/3 + 352/3*j**2 - 443/3*j - 7/3*j**3.
-(j - 49)*(j - 1)*(7*j - 2)/3
Let l(u) be the second derivative of -8/3*u**2 - 8*u - 16/9*u**3 + 0 - 2/3*u**4 - 2/15*u**5 - 1/90*u**6. Factor l(i).
-(i + 2)**4/3
Let k(o) = o + 27. Let a be k(-20). Suppose 12*i**3 - 7*i**2 + 0*i**3 + 27*i**5 + 51*i**4 - 2*i + 0*i**2 + a*i**3 = 0. What is i?
-1, -2/9, 0, 1/3
Let k = -2683 - -8051/3. Factor 2/3*v**3 + 0*v**2 + 0*v + k*v**5 + 0 + 4/3*v**4.
2*v**3*(v + 1)**2/3
Let c(g) be the third derivative of -9*g**6/160 - 87*g**5/80 + 4*g**4 - 11*g**3/2 + 2*g**2. Factor c(u).
-3*(u + 11)*(3*u - 2)**2/4
Let g(u) be the first derivative of -2/33*u**3 - 8/55*u**5 + 0*u**2 - 5/22*u**4 - 9 + 0*u. Let g(x) = 0. Calculate x.
-1, -1/4, 0
Let u(v) be the third derivative of -v**7/315 - v**6/144 + 31*v**5/360 + 7*v**4/18 + v**3/3 - 2*v**2 + 23. What is t in u(t) = 0?
-2, -1/4, 3
Let n(x) = -5*x + 92. Suppose 8*v + 34 = 3*z + 3*v, 4*v = 4*z - 56. Let g be n(z). Find t, given that 1/3*t - 1/3*t**g + 0 = 0.
0, 1
Let h = 1133/2 - 16963/30. Determine a so that -136/15*a - h - 364/15*a**2 - 98/5*a**3 = 0.
-2/3, -2/7
Let s(b) be the second derivative of -b**4/8 + 9*b**3/4 + 28*b - 4. Factor s(k).
-3*k*(k - 9)/2
Let b = 865 - 1729/2. Determine w so that -b*w**2 - 4*w**4 + 0 + 7/4*w**5 + 11/4*w**3 + 0*w = 0.
0, 2/7, 1
Let u(y) = -y**2 + 12*y + 16. Suppose -23 = -2*x - 5*r, x + 3*x = 5*r + 1. Let f(t) = -2*t**2 - t**2 + 17*t + 7*t + 33. Let k(h) = x*f(h) - 9*u(h). Factor k(w).
-3*(w + 2)**2
Let a(u) be the third derivative of 0 - 1/165*u**5 - 19*u**2 + 0*u + 1/33*u**3 + 1/1848*u**8 - 1/330*u**6 + 1/1155*u**7 + 1/132*u**4. Factor a(k).
2*(k - 1)**2*(k + 1)**3/11
Let t(x) be the second derivative of -2*x - 8/15*x**3 + 0 + 0*x**2 + 1/15*x**4. Find i, given that t(i) = 0.
0, 4
Let d = -3135 + 3144. Let c(w) be the first derivative of -d + 2*w + 10/3*w**3 + 4*w**2 + w**4. Find z such that c(z) = 0.
-1, -1/2
Let r(c) be the second derivative of c**6/60 + 9*c**5/20 + 4*c - 151. Find g, given that r(g) = 0.
-18, 0
Let z(m) = -m**3 + m**2 + 35*m - 83. Let q be z(3). Suppose 2/3*u + 1/6*u**5 + 1/6*u**q + 2/3 - 5/6*u**2 - 5/6*u**3 = 0. Calculate u.
-2, -1, 1, 2
Let c(t) = t**3 - t**2 + 1. Let f = 52 + -53. Let l(n) = -18*n**3 + 4*n**2 + 18*n - 14. Let w(i) = f*l(i) - 10*c(i). Factor w(k).
2*(k - 1)*(k + 2)*(4*k - 1)
What is a in -52/5 + 2/5*a**2 - 22/5*a = 0?
-2, 13
Let n(b) be the first derivative of -b**3/6 + 7*b**2/4 - 3*b - 237. Let n(t) = 0. Calculate t.
1, 6
Suppose -53*k + 194 - 35 = 0. Suppose 2 + 6 = 4*v. Factor 6*i + i - 4*i**v - 4*i**k - 5*i + 6*i.
-4*i*(i - 1)*(i + 2)
Suppose q**4 + 14*q + 36*q**2 - 19*q**2 + 12*q**2 + 16*q**3 = 0. What is q?
-14, -1,