or -4748 - 11*x - 3*x**3 + 4706 + 24*x**2 - 4*x.
-3*(x - 7)*(x - 2)*(x + 1)
Suppose 4*n - 3 = 5*r - 0, 13 = 5*n + 3*r. Suppose 0*w - w = -20. Factor 3*i**3 - 24*i**4 - w*i**5 + 18*i**3 - 3*i**n - 28*i**5.
-3*i**2*(i + 1)*(4*i - 1)**2
Let n(k) = 4*k**2 + k. Let b be n(1). Let l = -81/50 + 443/150. Factor -l*y**4 + 0*y + 0 + 1/3*y**b - 2/3*y**2 + 5/3*y**3.
y**2*(y - 2)*(y - 1)**2/3
Let o(z) = 3*z**4 + 1977*z**2 + 22*z - 1 - 1987*z**2 + 3*z**4 - 2*z**3. Let d(b) = -5*b**4 + b**3 + 11*b**2 - 21*b + 2. Let u(a) = 5*d(a) + 4*o(a). Factor u(k).
-(k - 1)**3*(k + 6)
Factor 0*b - 32/5*b**2 + 8/5*b**3 + 0 + 4/5*b**4.
4*b**2*(b - 2)*(b + 4)/5
Factor 0*b**3 + 1/3*b**4 + 24*b + 112/3 - 41/3*b**2.
(b - 4)**2*(b + 1)*(b + 7)/3
Let g(d) be the first derivative of d**4/32 + 35*d**3/6 + 4757*d**2/16 - 5041*d/4 - 226. Determine v, given that g(v) = 0.
-71, 2
Let l(a) be the first derivative of -a**9/756 + a**7/105 - a**5/30 + a**3 + 16. Let w(r) be the third derivative of l(r). Let w(q) = 0. Calculate q.
-1, 0, 1
Let i(p) = -25*p**2 - 3*p + 13*p**2 + 4*p - 9 + 11*p**2. Let b(o) = 4. Let t(n) = -9*b(n) - 4*i(n). Factor t(d).
4*d*(d - 1)
Let n = -41 - 77. Let o = 120 + n. Factor 2/3*i + 2/3*i**o + 2/9 + 2/9*i**3.
2*(i + 1)**3/9
Let a be (-6)/(-2) + 12*(-4)/(-8). Suppose a - 9 = -n. Determine v, given that -1/2*v**2 + n + v = 0.
0, 2
Let x = 27 - 22. Factor -5*s + x + 0 + s**2 + 4 - s.
(s - 3)**2
Let g be (7 + -12 + 5)/(-6). Determine t, given that -19/6*t**3 + 7/3*t**4 + 2/3*t - 1/2*t**5 + g + 2/3*t**2 = 0.
-1/3, 0, 1, 2
Suppose -2*i = -4*z + 562, -4*z - 3*i + 389 + 198 = 0. Let k = z - 143. Find u such that 4/7*u**3 + k - 20/7*u**2 + 16/7*u = 0.
0, 1, 4
Let a(l) be the second derivative of l**6/72 - l**5/24 - l**3 - 3*l. Let j(d) be the second derivative of a(d). Determine h so that j(h) = 0.
0, 1
Let d(t) be the third derivative of -7*t**5/5 + t**4/3 - 30*t**2. Factor d(a).
-4*a*(21*a - 2)
Factor -44 - 28*c**2 + 22*c - 14*c + 44.
-4*c*(7*c - 2)
Let m(j) be the third derivative of j**6/6 + 46*j**5/5 + 79*j**4/6 - 36*j**3 - 32*j**2. Let m(u) = 0. Calculate u.
-27, -1, 2/5
Suppose -2*q = 3*v + 2*q + 293, -2*v + q - 188 = 0. Let k = -95 - v. Factor -3/7*u + 0 - 3/7*u**5 + 0*u**4 + k*u**2 + 6/7*u**3.
-3*u*(u - 1)**2*(u + 1)**2/7
Suppose 5*k - 8 + 3 = 0. Let g be (-25)/(-15) - k/1. Suppose 2/3*n**3 - g*n**4 + 2/3*n**2 + 0 - 2/3*n**5 + 0*n = 0. Calculate n.
-1, 0, 1
Let f(z) be the second derivative of -z**7/840 - z**6/360 + z**5/60 - 5*z**3/6 + 3*z. Let x(y) be the second derivative of f(y). Factor x(j).
-j*(j - 1)*(j + 2)
Let c(z) be the third derivative of -z**8/672 + z**7/210 + z**6/48 - z**5/12 - z**4/12 + 2*z**3/3 + 142*z**2 + 2. Solve c(q) = 0 for q.
-2, -1, 1, 2
Suppose -50 + 35 = -3*b. Solve -14*w**2 + 3101*w**4 - 3111*w**4 - 4*w - 18*w**3 + 0*w - 2*w**b = 0.
-2, -1, 0
Let v = 281/2 - 140. Let o(l) be the first derivative of l**2 - v*l**4 + 0*l + 7/5*l**5 + 1 - 7/3*l**3. Let o(a) = 0. What is a?
-1, 0, 2/7, 1
Suppose -3*n = -3, -l - 4*n - 13 + 2 = 0. Let c be -1 + 0 + (-20)/l. What is s in 4/3*s**5 - 3*s**4 + 8/3*s**2 - 2*s + c + 2/3*s**3 = 0?
-1, 1/4, 1
Let k(b) be the first derivative of 1/10*b**2 - 2/15*b**3 - 1/20*b**4 + 18 + 2/5*b. Factor k(t).
-(t - 1)*(t + 1)*(t + 2)/5
Let z(f) = -f**2 - f - 1. Let b(q) = 5394*q**2 + 194*q - 12. Let v(t) = -2*b(t) + 28*z(t). Factor v(g).
-4*(52*g + 1)**2
Suppose 468*w - 1190 = -127*w. Find d, given that -3/8*d - 3/8*d**w + 3/4 = 0.
-2, 1
Let s(x) = 3*x**3 + 14*x**2 + 15*x. Let n(t) = -4*t**3 - 13*t**2 - 15*t. Let g(r) = 2*n(r) + 3*s(r). What is d in g(d) = 0?
-15, -1, 0
Suppose 5*s - 3*v + 6 = 9*s, v - 16 = -6*s. Solve 1/3*b**2 - b + 0 - 1/3*b**4 + b**s = 0.
-1, 0, 1, 3
Let f(y) = -y**3 - 69*y**2 + 198*y - 1292. Let c be f(-72). Factor -6/11*p**c - 2/11 - 1/11*p**5 - 14/11*p**3 - 16/11*p**2 - 9/11*p.
-(p + 1)**4*(p + 2)/11
Suppose 0*m = m - 27. Let k = 29 - m. Find v such that 1/2*v**2 + 2*v + k = 0.
-2
Let a = -6/341 - -2423/2046. Factor -23/6*c + a*c**2 + 1.
(c - 3)*(7*c - 2)/6
Suppose 0 = 2*p + 49 - 175. Let d = -60 + p. Factor -2/5*t**2 + 2/5*t**4 + 2/5*t - 2/5*t**d + 0.
2*t*(t - 1)**2*(t + 1)/5
Suppose -5*j + 3*m + 32 = 0, 0 = -9*j + 4*j - 5*m. Suppose -g = 1 - j. Solve -v**2 + 9 - g*v + 10 - 21 = 0.
-2, -1
Let x(n) be the second derivative of -3*n**7/70 - 7*n**6/10 - 14*n**5/5 + 10*n**4/3 + 8*n**3 - 72*n**2/5 - 55*n - 2. Find m, given that x(m) = 0.
-6, -1, 2/3
Suppose 0 = 5*z - 4*x - 8 - 10, 3*z = -2*x + 2. Factor u**3 + 2*u**z - 4 - 4*u + 2*u + 2 + u.
(u - 1)*(u + 1)*(u + 2)
Factor 68/3*w + 1/6*w**2 + 2312/3.
(w + 68)**2/6
Let k = -2/8065 + 16136/24195. Let l(s) be the first derivative of 1/2*s**4 + 3/5*s**5 + 1/6*s**6 - 3/2*s**2 - 12 - k*s**3 - s. Solve l(m) = 0 for m.
-1, 1
Let m(q) be the first derivative of 1/30*q**6 + 4*q**2 - 5 - 7/24*q**4 + 1/3*q**3 - 1/12*q**5 + 0*q. Let o(a) be the second derivative of m(a). Factor o(j).
(j - 2)*(j + 1)*(4*j - 1)
Let v(o) be the third derivative of -o**5/120 - o**4/16 - o**3/6 + 41*o**2 + 2. Factor v(n).
-(n + 1)*(n + 2)/2
Let x(d) be the third derivative of -d**6/1800 - d**5/60 - 5*d**4/24 + 2*d**3/3 - 3*d**2. Let k(f) be the first derivative of x(f). Factor k(w).
-(w + 5)**2/5
Let m(z) be the first derivative of 5/3*z**3 - z**5 + 0*z - 5/2*z**4 + 10 + 5*z**2. Suppose m(h) = 0. What is h?
-2, -1, 0, 1
Let c(w) be the second derivative of -3*w**5/20 - 15*w**4/4 - 27*w**3 - w - 36. Factor c(f).
-3*f*(f + 6)*(f + 9)
Let h(y) be the first derivative of -4/9*y**3 + 15 + 0*y - 4/3*y**2. Determine x, given that h(x) = 0.
-2, 0
Let v(m) be the first derivative of 6/5*m - 1/2*m**2 + 34 - 1/15*m**3. Factor v(b).
-(b - 1)*(b + 6)/5
Let h(u) be the second derivative of u**7/7 + 19*u**6/15 + 5*u**5/2 - 35*u**4/6 - 16*u**3 + 36*u**2 + 39*u - 2. Let h(n) = 0. Calculate n.
-3, -2, 2/3, 1
Let j be (2 - (-4 + -4)) + -8. Factor -12/5 - 16/5*d - 4/5*d**j.
-4*(d + 1)*(d + 3)/5
Let m(f) be the second derivative of 13*f**7/147 - 10*f**6/21 + 31*f**5/70 + 29*f**4/21 - 44*f**3/21 - 8*f**2/7 - 3*f - 2. Find z such that m(z) = 0.
-1, -2/13, 1, 2
Let q(l) = l**2 + 10*l + 30. Let v be q(-4). Let j(f) be the first derivative of 1/2*f**4 + 2/9*f**3 + 0*f + 1/9*f**v - 2 + 0*f**2 + 2/5*f**5. Factor j(m).
2*m**2*(m + 1)**3/3
Let i(w) be the third derivative of w**7/1680 + w**6/480 - w**5/160 - 319*w**2. Factor i(q).
q**2*(q - 1)*(q + 3)/8
Let t(c) = c**3 - 6*c**2 + 10*c - 6. Let h be t(6). Let x be -1 + h/42 - 6/70. Factor x - 2/5*z + 1/5*z**2.
(z - 1)**2/5
Let x(c) be the second derivative of 0*c**5 - 1/15*c**6 + 0*c**3 - 3*c + 1/3*c**4 - c**2 + 0. Factor x(i).
-2*(i - 1)**2*(i + 1)**2
Let b(v) be the third derivative of v**6/24 + v**5/4 - 5*v**4/6 + 11*v**2 + 4*v. Factor b(w).
5*w*(w - 1)*(w + 4)
Let n(q) be the first derivative of -q**3/9 - q**2 - 3*q + 130. Factor n(t).
-(t + 3)**2/3
Let u(r) = -6*r - 14. Let l be u(-4). Suppose 5*x + n - 16 = 0, -2*x - 3 = n - l. Solve -3*a + a**4 - 2*a**2 + 3*a**x + a**2 - a**4 - 1 + 2*a**4 = 0.
-1, -1/2, 1
Factor 11*x + 65/6 + 1/6*x**2.
(x + 1)*(x + 65)/6
Let t = -468 - -470. Let u(m) be the first derivative of 0*m + 0*m**3 + 1 + 2/85*m**5 - 1/34*m**4 + 0*m**t. Find o such that u(o) = 0.
0, 1
Let q(f) be the second derivative of f**5/90 - f**4/27 - 5*f**3/9 - 441*f. Let q(g) = 0. Calculate g.
-3, 0, 5
Let m(o) = o - 15. Let l be m(20). Let n = l + -1. Factor -6*d - n - 1/2*d**3 - 3*d**2.
-(d + 2)**3/2
Determine l, given that 8 + 12*l - 8*l**2 - 28*l**2 + 5*l**3 + 18*l**2 = 0.
-2/5, 2
Factor 0*o - 11/5*o**4 - 8/5*o**3 - 3/5*o**5 + 4/5*o**2 + 0.
-o**2*(o + 2)**2*(3*o - 1)/5
Suppose 5808*v - 5795*v = 52. Factor -6*d**3 - 33/5*d - 9/5 - 46/5*d**2 - 9/5*d**v - 1/5*d**5.
-(d + 1)**3*(d + 3)**2/5
Let j(g) be the second derivative of g**5/30 + g**4/6 - g**3 - 8*g**2 + 19*g. Let v(q) be the first derivative of j(q). Factor v(o).
2*(o - 1)*(o + 3)
Let k(d) be the third derivative of 5*d**2 + 0*d + 1/105*d**5 + 0 - 1/42*d**4 - 1/840*d**6 + 0*d**3. Factor k(o).
-o*(o - 2)**2/7
Let k = 554 - 38781/70. Let q = k - -3/10. Factor 0 + q*f**3 - 6/7*f + 4/7*f**2.
2*f*(f - 1)*(f + 3)/7
Suppose -4*s - x = -154, -5*s - 196 = -10*s - 3*x. Let 2*f**4 + 2*f**5 + 2*f**2 - s*f - 2*f**3 - 4*f**4 + 38*f = 0. What is f?
-1, 0, 1
Let i(p) be the second derivative of -125*p**7/7 + 455*p**6