*f - 2)/3
Let v = -5059 - -7782. Suppose 7*r = v - 805. Factor r - 274 - 12*y**3 + 8*y + 8*y**4 - 12*y**2.
4*y*(y - 2)*(y + 1)*(2*y - 1)
Let u(k) be the third derivative of k**6/3240 + 7*k**5/1080 + k**4/36 - 14*k**3/3 - 18*k**2. Let a(z) be the first derivative of u(z). Factor a(i).
(i + 1)*(i + 6)/9
Let w(y) be the first derivative of y**6/6 + 4*y**5/5 + 3*y**4/4 - 4*y**3/3 - 2*y**2 - 31. Factor w(p).
p*(p - 1)*(p + 1)*(p + 2)**2
Let z(u) be the third derivative of u**5/600 + 3*u**4/20 + 27*u**3/5 - 13*u**2 + u. Factor z(k).
(k + 18)**2/10
Let a(n) = -20*n**4 - 116*n**3 + 236*n**2 + 660*n + 360. Let c(b) = -4*b**4 - 23*b**3 + 47*b**2 + 132*b + 72. Let o(v) = -3*a(v) + 16*c(v). Solve o(x) = 0.
-6, -1, 3
Suppose 1944/11 + 2/11*g**3 - 12/11*g**2 - 270/11*g = 0. Calculate g.
-12, 9
Let o(t) be the first derivative of t**4/12 + t**3/3 + t**2/2 - 5*t + 1. Let m(y) be the first derivative of o(y). What is j in m(j) = 0?
-1
Let x = 21 - 18. What is l in 5*l**2 - 8*l**3 + 6*l - 3*l + l**2 + 11*l**x = 0?
-1, 0
Let s(t) be the first derivative of -t**6/140 + 3*t**4/28 + 2*t**3/7 + 17*t**2/2 + 4. Let y(h) be the second derivative of s(h). Factor y(a).
-6*(a - 2)*(a + 1)**2/7
Let o(j) = 4*j**2 - 12*j - 8. Let v be o(4). Let g(z) be the first derivative of v*z + 4*z**2 + 2/3*z**3 + 4. Factor g(c).
2*(c + 2)**2
Let j(p) = 5*p**2 + 15*p. Let l = -14 - 6. Let x(m) = m. Let d(f) = l*x(f) + j(f). Factor d(t).
5*t*(t - 1)
Solve -7/8*d**2 + 3/4 - 1/8*d**3 + 1/8*d**4 + 1/8*d = 0 for d.
-2, -1, 1, 3
Let u be 10/(-105)*7*(-81)/4. Let o be (27/(-4))/(1/(-3)). What is s in -u*s**2 - 1/4*s**4 - o + 3*s**3 + 27*s = 0?
3
Let q(i) be the first derivative of i**6/9 - 32*i**5/15 + 7*i**4 - 80*i**3/9 + 13*i**2/3 + 3. Solve q(a) = 0 for a.
0, 1, 13
Find l, given that -22/3*l - 1/3*l**2 - 7 = 0.
-21, -1
Suppose 26*h - 24*h = -s + 7, -4*s = 5*h - 16. Let r(q) be the first derivative of -1/12*q**3 + 1/16*q**h + 0*q - 5 - 1/4*q**2. Factor r(x).
x*(x - 2)*(x + 1)/4
Let c(u) be the second derivative of -u**4/60 - 239*u**3/15 - 57121*u**2/10 - 190*u. Solve c(j) = 0 for j.
-239
Let m(g) be the first derivative of -3*g**4/16 + g**3/2 - 3*g**2/8 - 571. Determine f, given that m(f) = 0.
0, 1
Let v = 1969 - 9821/5. Factor v*n**3 + 0 - 12/5*n**4 + 2/5*n**5 + 6/5*n - 4*n**2.
2*n*(n - 3)*(n - 1)**3/5
Let s(n) be the second derivative of n**6/6 - 9*n**5/4 - 5*n**4/4 + 125*n**3/6 + 45*n**2 - 301*n. Factor s(t).
5*(t - 9)*(t - 2)*(t + 1)**2
Let l = -2423 - -2425. Determine v, given that 128/13 + 32/13*v + 2/13*v**l = 0.
-8
Let f(g) be the first derivative of -g**5/80 - g**4/16 + g**3/24 + 3*g**2/8 - 3*g - 20. Let u(q) be the first derivative of f(q). Let u(a) = 0. What is a?
-3, -1, 1
Let d = -2/33319 - -266562/166595. Determine u so that 1/5*u**3 + d + 17/5*u + 2*u**2 = 0.
-8, -1
Let l(u) = -5*u**2 + 1393*u - 96608. Let z(o) = o - 1. Let x(w) = l(w) - 3*z(w). Factor x(b).
-5*(b - 139)**2
Solve -3/2*b**3 + 21/2*b - 3*b**2 - 6 = 0.
-4, 1
Suppose 72*g + 3*g**3 + 38 - 9*g - 24 + 58 + 51*g + 45*g**2 = 0. What is g?
-12, -2, -1
Let l(s) be the first derivative of -s**2/2 - 4. Let i(a) = a**2 + 6*a. Let y(m) = 2*i(m) + 2*l(m). Determine j so that y(j) = 0.
-5, 0
Suppose 0 = 5*a + 15, 2*q + 2*a = 53 + 33. Factor -42*v**4 - q*v**2 + 38*v**2 + 164*v**5 - 48*v**3 - 66*v**5.
2*v**2*(v - 1)*(7*v + 2)**2
Let y(q) = 2*q**2 + 70*q - 69. Let d be y(-36). Let f(i) be the second derivative of 1/3*i**d + 7/12*i**4 + 5*i + 0 + 1/4*i**5 + 0*i**2. Factor f(n).
n*(n + 1)*(5*n + 2)
Let z(f) be the third derivative of -f**7/735 + 97*f**6/420 - 3*f**2 + 171. Suppose z(k) = 0. Calculate k.
0, 97
Let p(w) be the third derivative of w**9/2352 + w**8/392 + w**7/1960 - w**6/140 + w**3 + 6*w**2. Let z(g) be the first derivative of p(g). Solve z(j) = 0 for j.
-3, -1, 0, 2/3
Suppose 0 = 8*g + 2*g - g. Suppose -5*f + 5 = -2*q, 0 = 3*f + 2*f - 4*q + 5. Factor 0 + 10*b**2 + 14*b**2 + 8*b + 10*b**f + g.
2*b*(b + 2)*(5*b + 2)
Determine k so that 0 - 21/2*k - 1/2*k**2 = 0.
-21, 0
Let s(k) be the first derivative of -5*k**6/6 + 6*k**5 + 30*k**4 + 130*k**3/3 + 45*k**2/2 + 27. Factor s(f).
-5*f*(f - 9)*(f + 1)**3
Let 1/3*m**4 - 7/6*m**3 + 2/3*m**2 - 1 + 7/6*m = 0. What is m?
-1, 1, 3/2, 2
Let r = 10596/5 - 2118. Suppose 2/5 + 18/5*q**3 - 2*q + r*q**2 = 0. What is q?
-1, 1/3
Suppose 3*g = 2*u + 2, -4601*g = -4603*g + 2*u + 2. Solve 1/3*s**4 - 4/3*s**3 + 0 + g*s + s**2 = 0.
0, 1, 3
Let t = -4493 - -8987/2. Suppose 0*j**3 - j + 3/2*j**2 - t*j**4 + 0 = 0. What is j?
-2, 0, 1
Let l = 143 - 123. Let i be l/(-24) - (-3)/(2 + 1). Let 1/6*w**3 - 1/6*w - 1/6 + i*w**2 = 0. Calculate w.
-1, 1
Suppose m = 3*g, g = 2*m - 2*g + 3. Let s be 116/(-87)*1/m. Factor -2/3*k + s - 10/9*k**2.
-2*(k + 1)*(5*k - 2)/9
Let t(c) be the third derivative of -c**8/40320 - c**7/7560 + 5*c**4/24 - 7*c**2. Let h(w) be the second derivative of t(w). What is v in h(v) = 0?
-2, 0
Suppose -38 = f - 3*f. Let w = f + -113/6. Determine k so that w*k**4 + 1/6*k**3 + 0*k - 1/6*k**5 + 0 - 1/6*k**2 = 0.
-1, 0, 1
Let i(u) be the second derivative of -u**6/540 - u**5/90 - u**4/54 + 10*u**2 + 7*u. Let y(o) be the first derivative of i(o). Solve y(k) = 0 for k.
-2, -1, 0
Let y = -16 + 27. Suppose -4*g = -5*q - 2, 0*g - y = -q - 3*g. What is i in q*i**2 + 4*i + 2 - 1 + 3 - 2 = 0?
-1
Let k(h) = 5*h**4 + 55*h**3 + 95*h**2 + 65*h + 25. Let j(m) = 3*m**4 + 27*m**3 + 47*m**2 + 33*m + 12. Let f(n) = -5*j(n) + 2*k(n). Let f(g) = 0. Calculate g.
-2, -1
Let c(d) be the third derivative of -d**6/260 + 17*d**5/390 - 7*d**4/78 - 136*d**2. Factor c(o).
-2*o*(o - 1)*(3*o - 14)/13
Let q(j) = -11*j**2 - 8*j + 65. Let r(a) = 16*a**2 + 13*a - 97. Let v(f) = -7*q(f) - 5*r(f). Solve v(k) = 0 for k.
-5, 2
Factor -12/5 - 12/5*f - 3/5*f**2.
-3*(f + 2)**2/5
Suppose w = -d - 4, -d + 12 = 2*w - 4*d. Find m such that w + 0*m - 3/7*m**4 + 3/7*m**2 + 0*m**3 = 0.
-1, 0, 1
Suppose 62*l - 123 = 21*l. Let s(i) be the second derivative of 3/5*i**2 + 7/10*i**l + 4*i + 1/4*i**4 + 0. Factor s(n).
3*(n + 1)*(5*n + 2)/5
Let r(s) be the first derivative of -s**3/6 - 79*s**2/2 - 6241*s/2 - 10. Determine d, given that r(d) = 0.
-79
Let x(y) be the first derivative of 2*y**6/9 - 6*y**5/5 + 7*y**4/6 + 4*y**3/3 - 247. Find s, given that x(s) = 0.
-1/2, 0, 2, 3
Suppose 3*i - 16 + 10 = 0. Let r be ((-18)/(-66))/((-6)/(-4)). Find x, given that -r*x**i + 2/11*x + 0 = 0.
0, 1
Let q be 4*(-6)/(-6) - (-2)/(-2). Suppose 5*r = q*r. Determine z, given that 1/6*z + r - 1/6*z**2 + 1/6*z**4 - 1/6*z**3 = 0.
-1, 0, 1
Let i be (-1248)/(-1365) + (-1 - 0) + 38/133. Suppose 0 + i*k**2 + 1/5*k = 0. What is k?
-1, 0
Let j = -23/146 - 23435/219. Let s = -107 - j. Suppose 0*b**3 + 1/3*b**2 + 1/6*b - s*b**5 - 1/3*b**4 + 0 = 0. Calculate b.
-1, 0, 1
Let x(d) be the first derivative of 16/7*d - 6/7*d**2 + 1/14*d**4 + 24 - 2/7*d**3. Find s such that x(s) = 0.
-2, 1, 4
Let i(l) be the third derivative of -2*l**6/45 + 13*l**5/45 - 11*l**4/18 + 4*l**3/9 + 43*l**2. Factor i(s).
-4*(s - 2)*(s - 1)*(4*s - 1)/3
Suppose 5*c = 5*x - 90, 5*c + 26 = x - 0*c. Suppose 9*r - 11*r + 4 = 0. What is u in -20*u - 3*u**3 + 2 + 6 - u**3 + x*u**r = 0?
1, 2
Suppose 0 = 6*j - j - 4*g + 6, -g = 4*j - 12. Factor -2*b**j + 2*b**4 + 10*b**3 - 10*b**3.
2*b**2*(b - 1)*(b + 1)
Let b = -4 + 5. Find c, given that -b + 4 - 9 - 2*c**2 + 0 + 8*c = 0.
1, 3
Let c be (-3 + (-2)/(-1 + 3))/(-2). Suppose 3 - 7 - g**c - 11*g**2 - 23 - 36*g = 0. Calculate g.
-3/2
Factor 10/3*q**3 + 32/5*q**2 - 4/15 + 14/5*q.
2*(q + 1)**2*(25*q - 2)/15
Let z(s) be the third derivative of s**6/480 - 3*s**5/80 + s**4/4 - 5*s**3/6 + 2*s**2 - 14*s. Factor z(p).
(p - 5)*(p - 2)**2/4
Let b(w) be the third derivative of -w**6/1440 - w**5/120 - 3*w**3/2 + 15*w**2. Let l(a) be the first derivative of b(a). Determine h so that l(h) = 0.
-4, 0
Let g be 1 + (6/(-20))/(177/236). Suppose 6/5*x**3 - g + 0*x**2 + 3/5*x**4 - 6/5*x = 0. What is x?
-1, 1
Let l = -2167 - -2167. Let -3/7*k**2 + l + 1/7*k**3 + 2/7*k = 0. What is k?
0, 1, 2
Suppose 0 + 1/2*c**4 - 7/8*c**3 + 1/4*c**2 + 1/8*c = 0. Calculate c.
-1/4, 0, 1
Let c(o) be the first derivative of -5*o**3/3 - 35*o**2/2 - 20. Factor c(a).
-5*a*(a + 7)
Let l(c) be the first derivative of 0*c**2 + 3/5*c**5 + 7 + 0*c - 2*c**3 - 3/4*c**4. Let l(y) = 0. Calculate y.
-1, 0, 2
Let w