-1/6*j**2 - 5/3 - 11/6*j.
-(j + 1)*(j + 10)/6
Let r be -2 + -2 + -4 + 8. Factor r*t + 1/3*t**5 + 4/3*t**4 + 0 + 2/3*t**2 + 5/3*t**3.
t**2*(t + 1)**2*(t + 2)/3
Let -26/11*g**4 + 0*g + 82/11*g**3 - 12/11*g**2 + 0 = 0. What is g?
0, 2/13, 3
Let a(c) = 3*c**3 + c**2 - 1. Let t be a(1). Suppose 13 = i + 5*j, -3*j = t*i - 14 - 1. Factor -1/5*k**4 + 0*k - 1/5*k**2 + 2/5*k**i + 0.
-k**2*(k - 1)**2/5
Let 3/2*f**2 + 1/4 + 1/4*f**4 + f + f**3 = 0. Calculate f.
-1
Let w(p) = -3*p**2 - 44*p + 31. Let a(l) = -10*l**2 - 175*l + 125. Let v(h) = -4*a(h) + 15*w(h). Let v(g) = 0. What is g?
1, 7
Let b(d) be the second derivative of 7*d**5/80 - 47*d**4/48 - 7*d**3/12 - 271*d. What is n in b(n) = 0?
-2/7, 0, 7
Let q = 47 - 42. Factor 7*u**2 + 3*u**q - 9*u**3 - 16*u**2 + 3*u**2.
3*u**2*(u - 2)*(u + 1)**2
Let z(j) be the second derivative of 0*j**3 + 0 - 3/20*j**4 - 3/25*j**5 + 0*j**2 - 1/50*j**6 + 11*j. Factor z(u).
-3*u**2*(u + 1)*(u + 3)/5
Let t(h) = 5*h + 13. Let r(l) = 4*l + 14. Let w(k) = -3*r(k) + 2*t(k). Let g be w(-9). Factor 5*j**3 - 6*j**g - 18*j - 9*j**2 + 28*j.
5*j*(j - 2)*(j - 1)
Let s(j) be the third derivative of 1/84*j**8 - 14*j**2 + 2/15*j**5 + 0*j + 0*j**4 + 0 + 0*j**3 - 1/30*j**6 - 4/105*j**7. Solve s(w) = 0.
-1, 0, 1, 2
Let h = 13 - -37. Factor 98*g - 24*g + 36 + 4*g**2 - h*g.
4*(g + 3)**2
Find f, given that 0 + 0*f - 1/2*f**3 - f**4 + 0*f**2 = 0.
-1/2, 0
Let h be ((-2)/50)/(7/(-140)*4). Let m(v) be the second derivative of -v - 4*v**2 + 10/3*v**3 + 0 - 4/3*v**4 + h*v**5. Let m(c) = 0. Calculate c.
1, 2
Let n(j) = 8*j**4 - 12*j**2 + 4. Let w(v) = -15*v**4 + 23*v**2 - 8. Let i be 2 + (-1 - (-1 + 6)). Let s(q) = i*w(q) - 7*n(q). Factor s(y).
4*(y - 1)**2*(y + 1)**2
Let l = 101 - 113. Let j be ((-3)/l)/((-55)/(-88)). Suppose -2/5*x**4 - 2/5*x**3 + 0*x + 2/5*x**2 + 0 + j*x**5 = 0. Calculate x.
-1, 0, 1
Suppose o = -3*i - 14, o + 4*o = i - 22. Let c be o/(-50) + -1 + 21/15. Factor 1/6*g**3 + 0 - 1/6*g**4 + c*g + 5/6*g**2.
-g*(g - 3)*(g + 1)**2/6
Let r be 1/((-22)/(-62)) + 36/198. Let w(d) be the first derivative of 0*d - 3/16*d**4 + 0*d**2 - 1/6*d**r - 4 - 1/20*d**5. Factor w(o).
-o**2*(o + 1)*(o + 2)/4
Let p = -1523/2 - -781. Let s = 20 - p. Solve -1/6*u**3 + 1/6 - s*u + 1/2*u**2 = 0 for u.
1
Let o(l) be the first derivative of -6 + 1/9*l**3 + 4*l - 13/6*l**2. Solve o(r) = 0.
1, 12
Let m(n) be the first derivative of -n**6/540 + 11*n**5/540 - n**4/18 - 7*n**3/3 - 21. Let a(p) be the third derivative of m(p). What is u in a(u) = 0?
2/3, 3
Let n(o) be the first derivative of o**4/36 + 7*o**3/27 - 17*o**2/18 + o - 199. Factor n(k).
(k - 1)**2*(k + 9)/9
Let r be 956/70 + -2 - (-4)/(-14). Let a = r - 74/7. Factor 2/5*l + 2/5*l**2 - a.
2*(l - 1)*(l + 2)/5
Let m(r) be the first derivative of -r**7/140 - r**6/20 - r**5/8 - r**4/8 - 16*r**2 - 4. Let k(l) be the second derivative of m(l). Factor k(u).
-3*u*(u + 1)**2*(u + 2)/2
Suppose 4*q + 3 = 5*q. Factor -q*s - s**3 + s**3 + 6*s**2 - 6 + 3*s**3.
3*(s - 1)*(s + 1)*(s + 2)
Let r be 49/6 - (21/18 + -1). Factor -8*h - 4 - 1 + r*h + 5*h**2.
5*(h - 1)*(h + 1)
Let w = 593/88 - 70/11. Let d(y) be the first derivative of -3/2*y + 1/2*y**3 - 3/4*y**2 - 3 + w*y**4. Factor d(q).
3*(q - 1)*(q + 1)**2/2
Let p(z) be the third derivative of -z**8/504 + z**7/45 - 7*z**6/180 - 19*z**5/90 + 4*z**4/9 + 20*z**3/9 - 349*z**2. Find g, given that p(g) = 0.
-1, 2, 5
Let g(v) be the third derivative of v**6/24 - 19*v**5/12 - 55*v**4/4 - 15*v**2. Determine j, given that g(j) = 0.
-3, 0, 22
Suppose -12 = -3*l + 3*x, -2*l + 5*x + 7 = -1. Let j(n) = 9*n**2 - 24*n + 19. Let s(d) = -19*d**2 + 49*d - 39. Let b(t) = l*s(t) + 9*j(t). Factor b(r).
5*(r - 3)*(r - 1)
Let m(b) be the second derivative of 28/45*b**3 - 7/150*b**5 + 29*b + 0 + 8/15*b**2 - 1/45*b**4. Find f, given that m(f) = 0.
-2, -2/7, 2
Let o = 103059 + -309176/3. Let u = 203/18 + -94/9. Factor -1/2*j**2 - u*j - o.
-(j + 1)*(3*j + 2)/6
Let b be 7*(-11 + 3029/273). Factor 0 + b*o**3 - 2/3*o**2 - 4/3*o.
2*o*(o - 2)*(o + 1)/3
Let v(l) be the second derivative of -5*l**4/12 - 35*l**3/6 - 15*l**2 + 176*l. Factor v(o).
-5*(o + 1)*(o + 6)
Find x such that 168*x**2 + 288*x + 0*x**5 - 31*x**3 - 384 + 28*x**3 - 3*x**5 - 27*x**4 - 39*x**3 = 0.
-4, 1, 2
Let r(o) be the first derivative of -4116/5*o**5 + 16 - 6*o**2 - 24*o + 210*o**3 + 147/4*o**4. What is i in r(i) = 0?
-2/7, -1/4, 2/7
Let k(z) be the third derivative of -13*z**2 + 1/30*z**5 - 1/6*z**3 + 0*z + 0*z**6 + 0 + 0*z**4 - 1/210*z**7. Factor k(o).
-(o - 1)**2*(o + 1)**2
Let o(t) be the third derivative of 2*t**7/7 - 29*t**6/15 + 12*t**5/5 + 5*t**4/3 - 2*t**3 - 518*t**2. Suppose o(u) = 0. Calculate u.
-1/3, 1/5, 1, 3
Suppose 80*b + 185 = 117*b. Let c(t) be the second derivative of -3/65*t**b + 0 - 8/39*t**3 - 1/195*t**6 - t + 0*t**2 - 2/13*t**4. What is r in c(r) = 0?
-2, 0
Factor -3/5*y**2 + 18/5 - 3/5*y.
-3*(y - 2)*(y + 3)/5
Let y be (-121)/(-12) - (-33 - -43). Let q(k) be the third derivative of 0*k**3 + y*k**5 + 5/12*k**4 + 0*k - 4*k**2 + 0. Find s, given that q(s) = 0.
-2, 0
Let x(m) be the first derivative of 2*m**3/39 + 25*m**2/13 + 126. Factor x(w).
2*w*(w + 25)/13
Factor 12*k**2 - 4580*k**5 - 12*k**4 + 4583*k**5 + 3*k**4.
3*k**2*(k - 2)**2*(k + 1)
Factor -3/2*u**3 - u**4 + 4*u**2 - 2*u + 0 + 1/2*u**5.
u*(u - 2)*(u - 1)**2*(u + 2)/2
Let g(k) be the third derivative of 1/24*k**4 + 0*k + 1/480*k**6 + 0*k**3 - 12*k**2 + 0 - 1/60*k**5. Find b such that g(b) = 0.
0, 2
Let w(z) be the first derivative of -z**8/336 + 3*z**7/56 - z**6/3 + 2*z**5/3 + 38*z**3/3 + 36. Let c(p) be the third derivative of w(p). Factor c(s).
-5*s*(s - 4)**2*(s - 1)
Suppose 0*l = 2*l - n - 3, 0 = -5*l + n + 9. Let m = 36 + -21. Determine f, given that m - 8*f**l - 3 + 3*f**3 - f**2 = 0.
-1, 2
Suppose 76*l - 1/2*l**2 - 151/2 = 0. Calculate l.
1, 151
Let n = 63 + 47. Find s, given that -85*s + 110*s**3 - 3 - n*s**4 + 124*s**2 - 47 + 36*s**2 - 25*s**5 = 0.
-5, -1, -2/5, 1
Let c be (-2320)/(-8320) - 4/26. Let v(d) be the second derivative of 0 + 3/16*d**4 + 0*d**2 + 5*d + 1/40*d**6 + 9/80*d**5 + c*d**3. Factor v(w).
3*w*(w + 1)**3/4
Suppose v = 3*p - 17, -3*p + 0*p - 3*v + 9 = 0. Determine w, given that -5*w**4 + 2*w - p*w**2 - 10*w**3 - 12*w + 10*w = 0.
-1, 0
Let l(c) be the third derivative of 1/4*c**4 + 7/150*c**5 + 1/300*c**6 + 3/5*c**3 + 0*c - 13*c**2 + 0. Find y, given that l(y) = 0.
-3, -1
Let h be 1/4 - (-812)/(-3360). Let u(f) be the third derivative of -1/300*f**5 + 0 + 3*f**2 + 0*f**3 - h*f**4 + 0*f. Factor u(w).
-w*(w + 1)/5
Let u(h) be the third derivative of 16*h**2 - 1/240*h**5 + 0 + 1/480*h**6 + 0*h**3 + 0*h**4 + 0*h. Determine k, given that u(k) = 0.
0, 1
Let j(f) be the third derivative of f**9/144 + f**8/560 - f**7/980 - 5*f**3/2 + 13*f**2. Let g(o) be the first derivative of j(o). Let g(t) = 0. What is t?
-2/7, 0, 1/7
Let d(f) = -10 + 4*f + 13 - 3*f. Let g be d(0). Factor g*n**3 + 0*n**3 + n + 8*n + 12*n**2.
3*n*(n + 1)*(n + 3)
Factor -2/5*a**3 - 16/5*a**2 - 24/5*a + 0.
-2*a*(a + 2)*(a + 6)/5
Suppose 9*d - 12 = 3*d. Solve -37*o**2 + 17*o**d + 0*o**4 - 12*o**3 - 2*o**4 + 2*o**2 = 0 for o.
-3, 0
Let g(u) = -17*u**3 + 30*u**2 - 13*u. Let c be ((-3)/6)/(14/196). Let q(b) = 9*b**3 - 15*b**2 + 6*b. Let r(t) = c*q(t) - 4*g(t). Factor r(y).
5*y*(y - 2)*(y - 1)
Factor -1/2*q - 1/3 + 1/6*q**3 + 0*q**2.
(q - 2)*(q + 1)**2/6
Suppose 17*j - 6 = 16*j. Let y(m) = 10*m**4 + 14*m**3 - 2*m**2 - 6*m - 6. Let n(c) = -c**4 - c**3 + c**2 + c + 1. Let v(l) = j*n(l) + y(l). Factor v(f).
4*f**2*(f + 1)**2
Let t = -12/32579 - 85617528/228053. Let b = t + 376. Factor b*x - 2/7*x**2 - 2/7.
-2*(x - 1)**2/7
Let f = 2 + 0. Suppose -6*h = -f*u - h + 14, 4*h = -2*u - 4. Find g, given that g**2 + 0*g**2 - g + 2*g**2 - 4*g**u = 0.
-1, 0
Let x = -22525/6 + 11273/3. Find h, given that -h**5 - x*h**4 + 0 + h + 1/2*h**2 - 3*h**3 = 0.
-2, -1, 0, 1/2
Let f(h) be the first derivative of 1/72*h**4 + 0*h**3 - 1/12*h**2 - 4*h - 5. Let c(q) be the first derivative of f(q). Determine g so that c(g) = 0.
-1, 1
Factor -10/3*g**2 - 2/3*g**3 + 0 - 8/3*g.
-2*g*(g + 1)*(g + 4)/3
Let j(c) be the third derivative of c**7/210 + c**6/30 - c**5/60 - c**4/6 + 299*c**2. Find y, given that j(y) = 0.
-4, -1, 0, 1
Let r(j) be the second derivative of j**6/180 - j**4/12 - 4*j**3/3 + 8*j. Let p(k) be