1/36*c**4 + 1/504*c**8 + 0*c + 72*c**2. Let p(t) = 0. What is t?
-1, 0, 1
Let d = -23 + 63. Suppose 2*n + 4*z + 0*z - d = 0, -3*n - 2*z = -40. Factor -n*w**3 + w**2 + 3*w**2 + 34*w**3 + 10*w**4 + 4*w**2.
2*w**2*(w + 2)*(5*w + 2)
Let s(f) be the first derivative of f**5 + 485*f**4/4 - 490*f**3/3 - 1879. Suppose s(h) = 0. What is h?
-98, 0, 1
Let s(l) be the first derivative of 2*l**3/15 - 6*l**2/5 + 2*l + 1319. Determine h so that s(h) = 0.
1, 5
Let l(a) = a - 1. Suppose 6*r - 13 - 11 = 0. Let c be l(r). Determine p, given that -4*p**2 - 10*p**4 - 21*p**3 - 2*p**4 + 39*p**c + 4*p**5 - 6*p**3 = 0.
0, 1
Factor 0*l - 27*l**2 - 7*l - 2*l**4 - 2*l**4 + 3*l**4 + 3*l + 12*l**3 + 36.
-(l - 9)*(l - 2)**2*(l + 1)
Let f(d) = -d - 22. Let r be f(0). Let i be 5/50*r - (-2 - 1). Find g, given that 1/5*g**2 + 4/5 + i*g = 0.
-2
Let b(k) = -36*k - 62. Let w(l) = l**3 + 3*l**2 - 2. Let p be w(-2). Let o(f) = -f**2 + 37*f + 63. Let u(y) = p*o(y) + 3*b(y). Factor u(q).
-2*(q + 2)*(q + 15)
Let y(g) = g. Let i(w) be the second derivative of w**4/12 + 5*w**3 - w + 27. Let s(d) = -3*i(d) + 3*y(d). Find f, given that s(f) = 0.
-29, 0
Let k(z) = -2*z + 20. Let n be k(-5). Suppose 5*q = -d + n, 5*q - 50 = -5*d - 0*q. Factor 3*x + d*x**2 - 6*x**2 + 7 + 2*x + x.
-(x - 7)*(x + 1)
Let h = 72 - 70. Suppose -3*i + 5 = -h*t, 0*t + 2*t = -5*i + 19. Determine d so that -124*d**i + 151*d**3 - 87*d**2 + 65*d - 2*d - 12 + 9*d = 0.
2/9, 1, 2
Let z(s) be the second derivative of 3*s**5/20 + 278*s**4 + 308021*s**3/2 - 930747*s**2 - 8148*s. Solve z(t) = 0 for t.
-557, 2
Let c(p) be the third derivative of -p**8/840 + 4*p**7/175 - 7*p**6/300 - 4*p**5/5 - 5*p**4/3 + 4690*p**2. Determine h so that c(h) = 0.
-2, -1, 0, 5, 10
Suppose 109*w - 103*w - 156 = 0. Suppose w*h = 35*h - 36. Factor 4/7*a + 2/7*a**2 - 4/7*a**3 + 0 - 2/7*a**h.
-2*a*(a - 1)*(a + 1)*(a + 2)/7
Suppose -5*t + 6 = -2*t. Let b be (10/4)/((-30)/(-24)). Factor g + 4*g**t + 3 + g**b - 4*g**2 + 3*g.
(g + 1)*(g + 3)
Factor 1/11*c**3 - 535/11*c**2 + 534/11*c + 0.
c*(c - 534)*(c - 1)/11
Let k = -386085 + 386087. What is g in 0 - 122/5*g**3 + 35*g**5 + 3*g**4 - 12*g**k - 8/5*g = 0?
-2/5, -2/7, 0, 1
Let f(c) = 23*c**2 + 765*c + 201. Let b be f(-33). Factor -10 + 5/2*g**b + 32*g - 37/2*g**2.
(g - 5)*(g - 2)*(5*g - 2)/2
Let d(z) = z**3 - 3*z**2 - 6*z + 10. Let q be (0 - -3) + (-23 - -24). Let x be d(q). Factor 0*t + 0*t**x + 0*t**3 + 0 - 2/9*t**5 + 2/9*t**4.
-2*t**4*(t - 1)/9
Let o(u) be the first derivative of 35*u**6/6 - 1363*u**5 + 1210*u**4 + 1940*u**3/3 + 1279. Determine s so that o(s) = 0.
-2/7, 0, 1, 194
Factor 0 + 246/7*i + 2/7*i**2.
2*i*(i + 123)/7
Let u = 330 + -320. Suppose -2*o - u = -7*o. Factor 3*k**4 - 26/3*k**o + 28/3*k - k**3 - 8/3.
(k - 1)*(k + 2)*(3*k - 2)**2/3
Let f(l) be the first derivative of l**5/180 - 7*l**4/36 - 13*l**2/2 + 3*l - 41. Let g(x) be the second derivative of f(x). Suppose g(t) = 0. Calculate t.
0, 14
Suppose 16 = 2*j + 2*u, -3*u - 15 - 1 = -2*j. Let p(f) be the first derivative of -13*f**3 - j + 9/2*f**4 - 3/5*f**5 - 12*f + 18*f**2. Solve p(w) = 0 for w.
1, 2
Let u(d) be the second derivative of -182*d + 0*d**2 - 25/3*d**4 - d**5 + 0*d**3 - 1/30*d**6 - 2. Factor u(b).
-b**2*(b + 10)**2
Let c(o) be the first derivative of -3*o**4/28 + 187*o**3/7 + 81*o**2 + 3211. Factor c(a).
-3*a*(a - 189)*(a + 2)/7
Let d(o) be the third derivative of -o**7/1260 - 89*o**6/720 - 1739*o**5/360 + 11045*o**4/144 + o**2 - 838. Factor d(k).
-k*(k - 5)*(k + 47)**2/6
Let c(f) be the third derivative of -f**6/10 - 791*f**5/45 + 889*f**4/18 - 178*f**3/9 - 4076*f**2. Find n such that c(n) = 0.
-89, 1/9, 1
Factor -3/2*b**4 + 3*b + 1/2*b**5 + 7/2*b**2 + 0 - 3/2*b**3.
b*(b - 3)*(b - 2)*(b + 1)**2/2
Let f(d) be the second derivative of 14*d + 0*d**2 + 0*d**4 - 1 + 0*d**3 - 1/90*d**6 + 0*d**5. Factor f(m).
-m**4/3
Suppose -1293/2*y**3 - 7935/4 - 6321/2*y**2 - 3/4*y**5 - 18147/4*y - 159/4*y**4 = 0. What is y?
-23, -5, -1
Factor -2 - 1/2*d**3 + 0*d + 3/2*d**2.
-(d - 2)**2*(d + 1)/2
Let w(x) = -x**3 - 6*x**2 + 6*x + 2. Suppose p + 4*p = -35. Let j be w(p). Factor i**3 + j*i**2 + 12*i + 4*i**2 + 7*i**2 - 9*i**3.
-4*i*(i - 3)*(2*i + 1)
Suppose 0 = -6*c - 6*c + 4*c. Suppose c = -3*g + 24 + 15. Find f, given that -8*f - 2*f**2 + 3*f**4 - 25*f**2 + 4*f**3 - g*f**3 - 7*f = 0.
-1, 0, 5
Suppose -5*u + 16 = 2*r, -28 = -0*u - 5*u + 4*r. Let d(j) = 2*j**3 - 2*j**2 + 3*j + 3. Let q be d(u). Factor 8 + 56*i**2 - q*i**3 + 64*i + 39*i**3 + 54*i**2.
-2*(i - 2)*(4*i + 1)*(9*i + 2)
Let m(t) be the third derivative of -19/48*t**4 + 0 + 1/15*t**5 + 5/6*t**3 - 9*t**2 + 1/240*t**6 + 0*t. Factor m(j).
(j - 1)**2*(j + 10)/2
Let m be (5 + -733)/(-4)*(-5)/10. Let i be 104/m - 1*-2. Solve 1/7*k + 1/7*k**2 - i = 0.
-3, 2
Let s(g) be the third derivative of g**6/180 + 1109*g**5/90 + 77006*g**4/9 + 306916*g**3/9 + 2*g**2 + 1107*g. Factor s(m).
2*(m + 1)*(m + 554)**2/3
Factor 0 + 4/5*m**3 - 38/15*m**2 - 16/5*m + 2/15*m**4.
2*m*(m - 3)*(m + 1)*(m + 8)/15
Let t = 5691 + -5685. Let v(x) be the third derivative of 0*x**3 - 7/60*x**5 + 26*x**2 - 1/12*x**4 - 1/336*x**8 - 3/40*x**t + 0*x - 1/42*x**7 + 0. Factor v(m).
-m*(m + 1)**3*(m + 2)
Let n be (4/(-3) + 1)*((-2 - 19) + 5184/(-768)). Suppose 1/4*r**4 - 5/2*r**3 + n*r**2 + 9 - 15*r = 0. Calculate r.
2, 3
Let h(o) = -567*o**2 + 21*o - 225. Let i(s) = 75*s**2 - 3*s + 32. Let y(c) = 2*h(c) + 15*i(c). Factor y(d).
-3*(d + 2)*(3*d - 5)
Let j be (395/(-79))/((-1)/4). Suppose 3*k + j = -i + 5*i, -5*k - 26 = -3*i. Determine l, given that -5/2*l**i - 5/4*l**3 - 5/4*l + 0 = 0.
-1, 0
Suppose -1127527 + 16234272 - 17544*y - 51*y**2 + 4130251 + 55*y**2 = 0. What is y?
2193
Let w = 26 - 29. Let j(k) = 13*k**2 - k + 6. Let o be j(w). Factor -5*s**4 + 17 - 2 - o*s**2 + 156*s**2 - 40*s.
-5*(s - 1)**3*(s + 3)
Suppose 149*i**2 - 71*i - 642 + 6 - 297*i**2 + 705*i + 150*i**2 = 0. What is i?
-318, 1
Let k(b) = 4*b**3 + 4*b**2 + 11*b - 11. Let m = -30 + 14. Let u = -14 - m. Let q(n) = -n**3 - n**2 - 2*n + 2. Let h(l) = u*k(l) + 11*q(l). Factor h(c).
-3*c**2*(c + 1)
Suppose -6/7 + 16/7*j + 22/7*j**2 = 0. Calculate j.
-1, 3/11
Let b be 143/39 - (-102)/9. Let w(j) be the second derivative of 1/5*j**5 + 5/3*j**4 + b*j + 0 + 14/3*j**3 + 6*j**2. Factor w(l).
4*(l + 1)**2*(l + 3)
Let x be 32/56 - ((-12903)/462 - -27). Factor -5/3 - x*q**2 + 47/6*q.
-(q - 5)*(9*q - 2)/6
Suppose 754*i - 749*i + 5*z + 5 = 0, 1 = 2*i - z. Let 2/7*s**3 + i*s - 2*s**2 + 0 = 0. Calculate s.
0, 7
Find l, given that 80/7*l**4 + 297/7*l**3 - 304/7*l + 304/7*l**2 - 384/7 + l**5 = 0.
-4, -24/7, -1, 1
Let l(r) = r**3 - 8*r**2 - 44*r - 42. Let b(m) = m**3 - 8*m**2 - 44*m - 41. Let s = 856 - 862. Let g(p) = s*b(p) + 7*l(p). Let g(o) = 0. What is o?
-2, 12
Factor h**2 + 0 + 7/2*h**3 + 5/2*h**4 + 0*h.
h**2*(h + 1)*(5*h + 2)/2
Suppose -5*u**3 + 1755*u**2 + 4535*u + 0*u**3 + 3030 - 255*u**2 = 0. Calculate u.
-2, -1, 303
Let t = -659 + 659. Let -13*d**2 - 4*d + 19*d**2 - 2 - 1 - 7*d**2 + t*d = 0. What is d?
-3, -1
Let f = 1280 - 1278. Let z be 0*-2*(2 - 15/6). Suppose -1/2*g**4 + 1/4*g - 1/4*g**5 + z*g**3 + 1/2*g**f + 0 = 0. Calculate g.
-1, 0, 1
Let x(v) be the third derivative of -v**5/180 + 61*v**4/12 - v**2 + 265. Factor x(s).
-s*(s - 366)/3
Suppose -5*n - y = -159, -7*n + 6*y = 2*y - 228. Let 531*o**2 + 511*o**2 + n*o - 1018*o**2 + o**4 + 16 + 8*o**3 = 0. Calculate o.
-2
Factor 112 + 2/5*j**2 - 86/5*j.
2*(j - 35)*(j - 8)/5
Let i = 221 + -219. Let k(s) be the first derivative of -2*s**3 + 2/5*s**5 + 8 + 0*s**4 - i*s**2 + 0*s. Solve k(t) = 0 for t.
-1, 0, 2
Suppose 22*q + 207 + 211 = 484. Let p(c) be the first derivative of 0*c - 15/2*c**4 - 20/3*c**q - 5/2*c**2 - 11 - 5/6*c**6 - 4*c**5. Factor p(i).
-5*i*(i + 1)**4
Let l(s) be the third derivative of -s**5/15 + 139*s**4/6 + 280*s**3/3 + 379*s**2. What is x in l(x) = 0?
-1, 140
Let z be (-5)/(4/(-5 + 1)). Let -3*p**5 - 11*p**5 + 4*p**4 + 13*p**z = 0. What is p?
0, 4
Suppose -186 + 198 = 6*u. Suppose 4*h = -c - 3, c = -5*h - 2*c - 9. Determine j so that 6/5*j - 8/5*j**u + h = 0.
0, 3/4
Let x(o) be the third derivative of 1/15*o**5 - 1/3*o**3 + 0*o - 1/105*o**7 + 0 + 0*o**6 + 38*o**2 + 0*o**4. What is h in x(h) = 0?
-1, 1
Let i(h) be the second derivative of -170*h**7/21 - 64*h**6/15 + 30*h**5 + 44*h**4/3 - 130*h**3/3 - 24*h**2 