-y**3 - 14*y**2 + 18*y + 47. Let i(a) = -a**3 - 19*a**2 - 34*a - 15. Let u be i(-17). Let q be z(u). Factor 3/5*s**q + 7/5*s + 2/5.
(s + 2)*(3*s + 1)/5
Let c be ((-4)/18)/((384/288)/(-1*12)). Factor -15/2*h + 7/2 + 9/2*h**c - 1/2*h**3.
-(h - 7)*(h - 1)**2/2
Suppose 14/3*a**2 + 4/3 - 38/9*a + 2/9*a**4 - 2*a**3 = 0. What is a?
1, 6
Let r be ((-3)/(170 + -5))/((-22)/(-444235)). Let p = r + 743/2. Determine f, given that -p*f**3 + 30/11*f - 12/11 + 36/11*f**2 + 18/11*f**5 - 24/11*f**4 = 0.
-1, 1/3, 1, 2
Let s be (((-5)/3)/(800/(-1440)))/(6/4). Suppose 648/5 + 2/5*u**s - 72/5*u = 0. What is u?
18
Factor 31816*n + 31683*n - 63033*n + 936 - n**2.
-(n - 468)*(n + 2)
Factor -1830/17*o - 450/17 + 2888/17*o**3 - 608/17*o**2.
2*(o - 1)*(38*o + 15)**2/17
Let f = -253 + 255. Solve -45 + 150*z**f + 147*z**2 - 294*z**2 + 42*z = 0 for z.
-15, 1
Let b(j) = 6*j**3 - 116*j**2 + 1560*j + 3604. Let p = -563 + 567. Let s(i) = -7*i**3 + 116*i**2 - 1560*i - 3605. Let y(n) = p*s(n) + 5*b(n). Factor y(h).
2*(h - 30)**2*(h + 2)
Let f = 1082 + -1076. Let y(p) = -p**2 - 22*p + 172. Let w be y(f). Find n, given that -2*n**5 - 14/3*n**w + 0 + 56/3*n**2 + 16/3*n + 20/3*n**3 = 0.
-2, -1/3, 0, 2
Let g = 75286 + -828140/11. Solve 20/11*v**3 + g*v**4 + 6/11*v**2 + 0 + 0*v = 0.
-3, -1/3, 0
Let d = 675/32 - 435/32. Let k(p) be the third derivative of -2*p**2 - 7/12*p**5 + 0 + 0*p - 25/8*p**4 - d*p**3 - 1/24*p**6. Factor k(l).
-5*(l + 1)*(l + 3)**2
Suppose 0 = -10*l + 30. Find a such that 0*a + 3*a**3 - l*a - 5*a**2 + 3 + a**4 + 1 + 0 = 0.
-4, -1, 1
Let k(v) be the third derivative of 0*v + 27 + 0*v**5 + 1/1050*v**7 + 1/200*v**6 + 2*v**2 - 1/30*v**4 + 0*v**3. Factor k(g).
g*(g - 1)*(g + 2)**2/5
Let p(g) be the third derivative of g**9/90720 - g**8/4320 - g**7/945 + 9*g**5/10 - 4*g**2 + 2. Let d(w) be the third derivative of p(w). Factor d(y).
2*y*(y - 8)*(y + 1)/3
Suppose 0 = -7*i + 111 + 50. Suppose -4*x**5 + i*x**4 - 16607*x**3 - 3*x**4 + 16575*x**3 + 16*x**2 = 0. What is x?
0, 1, 2
Suppose 2*f + 4*i = -f + 18, -3*f - 9 = -5*i. Let 0*l**f + 0*l**2 - 12*l - 3*l**2 + 36 = 0. What is l?
-6, 2
Let l(n) be the second derivative of -1/20*n**5 + 17/2*n**2 - 8*n**3 + n**4 + 15*n + 0. Let u(b) be the first derivative of l(b). Factor u(f).
-3*(f - 4)**2
Let j(v) = v**3 - 5*v. Suppose -3*o + 7*o + 8 = 0. Let w be j(o). Factor -5*l**3 - 96*l + 231*l**w - 82*l**3 - 60*l**3 + 12.
-3*(l - 1)*(7*l - 2)**2
Let -3/7*d**2 - 147852/7 + 1332/7*d = 0. Calculate d.
222
Let x(l) be the third derivative of l**6/120 + l**5/20 - l**3/3 - 7*l**2. Let h be x(-2). Solve 4*u**h + 4*u**3 + 7*u**2 - 3*u**2 = 0.
-2, 0
Let v be 6/(-18)*1080/(-6). Factor 162*t**3 - 85*t**3 + v - 82*t**3 + 45*t**2 - 63*t - 37*t.
-5*(t - 6)*(t - 2)*(t - 1)
Let k = 5 - -27. Let s = k - 9. Factor -27*w - 7*w**2 + s*w**2 + 27 - 7*w**2 - w**3.
-(w - 3)**3
Let i(t) be the second derivative of t**4/126 - 46*t**3/21 + 1587*t**2/7 - 1070*t. Determine j, given that i(j) = 0.
69
Let b(a) be the second derivative of a**5 - 1/7*a**7 + 4*a**4 - 14/15*a**6 - 7/3*a**3 - a - 10*a**2 - 22. What is l in b(l) = 0?
-5, -1, -2/3, 1
Solve -50/3 - 17*n - 1/3*n**2 = 0 for n.
-50, -1
Find f such that 1/11*f**2 - 444/11 + 20*f = 0.
-222, 2
Let b(z) be the second derivative of 0*z**2 + 2 - 4/75*z**5 - 2/15*z**3 + 19/90*z**4 - 1/45*z**6 + 57*z. Find p, given that b(p) = 0.
-3, 0, 2/5, 1
Factor 29*n**4 - 2*n**3 + 2*n**5 - 35*n**4 + 1145*n**2 - 1139*n**2.
2*n**2*(n - 3)*(n - 1)*(n + 1)
Let f(n) be the first derivative of n**3/8 + 57*n**2/4 + 1449*n/8 - 4334. Factor f(v).
3*(v + 7)*(v + 69)/8
Let d be (8/64*0)/(3 - (-5 + 7)). Factor 0 - 26/9*t**4 + 28/9*t**3 - 2/9*t**2 + d*t.
-2*t**2*(t - 1)*(13*t - 1)/9
Let a be (-33)/(-5) - (-2 - (-52)/20). Let 3*i**3 + a*i**2 + 0*i**3 + 0*i**3 - 2*i - 7*i = 0. Calculate i.
-3, 0, 1
Determine k, given that -13358 + 2016*k - 3*k**3 + 8*k**3 + 6062 - 2*k**3 - 162*k**2 = 0.
8, 38
Factor 9/5*i**2 + 0 + 7/5*i**4 + 0*i + 3*i**3 + 1/5*i**5.
i**2*(i + 1)*(i + 3)**2/5
Let m be 3*-2*8/12. Let o be m/(4/(-15))*2/6. Determine v, given that 337*v**4 - 2*v**o - 339*v**4 - 1 + 1 = 0.
-1, 0
Let -2/3*z**5 - 208/9*z - 146/9*z**3 + 0 + 92/9*z**4 - 452/9*z**2 = 0. What is z?
-1, -2/3, 0, 4, 13
Let n = 531 - 531. Let s = -245 - -247. What is q in 0 - 2/7*q**3 + 2/7*q**s + n*q = 0?
0, 1
Solve -10867*q + 3*q**2 + 10860*q - 12*q**2 + 7*q**3 - q**4 + 10 = 0 for q.
-1, 1, 2, 5
Let u(t) be the first derivative of -2*t**3 + 39*t**2/2 + 56*t - 181. Let q(w) = w**2 - 8*w - 11. Let z(n) = 33*q(n) + 6*u(n). Factor z(s).
-3*(s + 1)*(s + 9)
Let c(v) be the second derivative of 4/5*v**5 - 1/45*v**6 + 0 - 65*v - 23/18*v**4 + 0*v**3 + 0*v**2. Factor c(u).
-2*u**2*(u - 23)*(u - 1)/3
Suppose -39473*m**3 - 4*m - 39486*m**3 - 4596 + 78963*m**3 + 4596*m**2 = 0. What is m?
-1149, -1, 1
Find i such that -116 - 350/3*i - 2/3*i**2 = 0.
-174, -1
Let j(d) be the first derivative of -d**5/40 - 19*d**4/32 + 47*d**3/8 - 221*d**2/16 + 25*d/2 + 2931. Factor j(q).
-(q - 4)*(q - 1)**2*(q + 25)/8
Let l(x) = x**4 + 5*x**3 + 3*x**2 + x. Let g(k) = -k**4 - 6*k**3 - 3*k**2 - k. Let z = -46 + 48. Let o(j) = z*g(j) + 3*l(j). Factor o(r).
r*(r + 1)**3
Let b(z) be the first derivative of 4*z**5/5 + 12*z**4 + 56*z**3 + 40*z**2 - 300*z - 1649. Determine d so that b(d) = 0.
-5, -3, 1
Let z(k) be the second derivative of k**7/126 - k**6/45 - k**5/6 + 5*k**4/9 + k**3/2 - 3*k**2 + 2*k + 32. Let z(h) = 0. Calculate h.
-3, -1, 1, 2, 3
Let l = 521 + -510. Let d be (-16)/(-20)*l/198*20. Factor 2/9*w**2 + d*w + 0.
2*w*(w + 4)/9
Let l be (-980)/(-140)*(-48)/7. Let i be 27/(8/l*-63). Factor -1/7*j**3 - 216/7 - i*j**2 - 108/7*j.
-(j + 6)**3/7
Let y(s) be the second derivative of 0 + 9*s + 1/40*s**6 + 27/2*s**2 - s**3 - 1/5*s**5 + 5/8*s**4. Let k(v) be the first derivative of y(v). Factor k(d).
3*(d - 2)*(d - 1)**2
Suppose -5*d = -x - 43, 421*x + 77 = d + 417*x. Find c, given that -2/11*c**d - 6/11*c**3 - 8/11*c**2 + 0 + 8/11*c + 8/11*c**4 = 0.
-1, 0, 1, 2
Let m(p) = p**2 + 23*p + 63. Let i be m(-20). Suppose 5*c - 5*y = -13 - 2, -15 = -5*c - y. Factor 2*o - 6*o + 0*o**i - 2*o**c - o**3 + 3*o**3.
2*o*(o - 2)*(o + 1)
Let h(k) be the second derivative of k**4/108 - 770*k**3/27 + 296450*k**2/9 - 15*k + 7. Let h(u) = 0. What is u?
770
Find g such that -156 + 782/5*g - 2/5*g**2 = 0.
1, 390
Let x(c) be the third derivative of c**6/240 - 541*c**5/72 + 609301*c**4/144 + 203401*c**3/36 + 6686*c**2. Suppose x(t) = 0. Calculate t.
-1/3, 451
Suppose 172*n = 168*n - 3*u + 1426, -3*u - 704 = -2*n. Suppose 0 = 107*p - 36*p - n. Suppose 0*x + 0 - p*x**2 - 11/2*x**3 - 1/2*x**4 = 0. Calculate x.
-10, -1, 0
Let r(a) be the second derivative of a**4/4 + 4*a**3 + 21*a**2/2 + 3180*a. Solve r(c) = 0.
-7, -1
Suppose 0 = 349*w - 343*w - 360. Let p be (w/(-27) + 0)*6/(-12). Solve -p*z + 2/9*z**3 + 2/3*z**2 - 2/9*z**4 + 4/9 = 0 for z.
-2, 1
Let f be 95/19 + -1 + (-35634)/45. Let o = f - -788. Factor -4/15*i**3 + 2/15 + 2/15*i + 2/15*i**5 + o*i**4 - 4/15*i**2.
2*(i - 1)**2*(i + 1)**3/15
Let -30275/2*x + 30625/2 - 1/2*x**3 - 349/2*x**2 = 0. Calculate x.
-175, 1
Let f = 755094 - 755091. Suppose 2*n + 0*n = 5*c - 12, -4*n = -16. Factor -2/3 + w**f + 2*w - 1/6*w**c - 13/6*w**2.
-(w - 2)**2*(w - 1)**2/6
Determine g so that 864 + 16*g**3 - 84*g - 6*g**3 - 42*g - 13*g**3 - 147*g**2 = 0.
-48, -3, 2
Let t(a) be the second derivative of a**6/240 + 3*a**5/80 - a**4/4 + 61*a**3/3 - a - 15. Let k(b) be the second derivative of t(b). Factor k(c).
3*(c - 1)*(c + 4)/2
Let z(j) = -j**2 - 5*j - 2. Let n be z(-3). Suppose 0 = f + 4*q, f + 55*q - 1 = 52*q. Factor 3*v**n - 6*v**2 - v**3 + 5*v**2 - 2*v**f + v**5.
v**2*(v - 1)*(v + 1)**2
Find k such that -304*k - k**4 - 4173*k**2 + 57*k**3 + 7*k**3 - k**4 + 4121*k**2 - 186 = 0.
-1, 3, 31
Let z = 271/114 + -27/38. Let i(o) be the first derivative of -15/2*o**2 + 23 + 10*o + z*o**3. What is u in i(u) = 0?
1, 2
Let d(y) = -y**3 - 27*y**2 - 1232. Let n be d(-29). Factor 1500 - n*v + 45*v**2 - 3/2*v**3.
-3*(v - 10)**3/2
Let b = -82 + 67. Let g = b - -35. Solve 50*a**2 - 19*a**2 + 16*a**3 - 8*a**4 + g - 74*a + 16*a**3 + 23*a**2 = 0.
-2, 1/2, 5
Let k = -474070051/444 + 1067726. Let v = 1/148 + k. Determine f, given that -2/3*f**3 + v*f**2 - 2/3 + 2/3*f = 0.
-1, 1
Suppose 18*x - 19*x + 3 = 0. Let i be (x + 0)*