*4/11 - 174*y**3/11 + 810*y**2/11 - 2485. What is i in j(i) = 0?
0, 9, 10
Let d be 220/(-25) - -11 - (9 + -4)/25. Let k(x) be the first derivative of -1/27*x**3 + 1/9*x - 33 + 0*x**d. Factor k(i).
-(i - 1)*(i + 1)/9
Factor 8/9*q**3 - 8/3*q**2 + 0 + 2/9*q**4 + 0*q.
2*q**2*(q - 2)*(q + 6)/9
Let a = -626857/9 - -69651. Suppose 0 + a*c**4 + 2/9*c**3 + 2/3*c - 10/9*c**2 = 0. Calculate c.
-3, 0, 1
Let s(d) be the third derivative of d**6/180 - 3*d**5/10 + 17*d**4/12 + 7*d**3/2 - 75*d**2. Let p(o) be the first derivative of s(o). What is x in p(x) = 0?
1, 17
Suppose -31736*t - 84 = -31764*t. Find q, given that -4*q**2 + 1/2*q**5 - 7/2*q - q**t + q**4 - 1 = 0.
-1, 2
Suppose -2*i + 75*a + 1 = 76*a, 5*i - 2*a + 2 = 0. Let m(j) be the first derivative of -1 + 1/6*j**2 + 1/18*j**3 + i*j. Factor m(h).
h*(h + 2)/6
Let k(n) be the first derivative of 0*n + 9*n**2 + 10/3*n**3 - 1/12*n**5 - 5/8*n**4 + 3. Let r(z) be the second derivative of k(z). Factor r(u).
-5*(u - 1)*(u + 4)
Let y(q) be the third derivative of -1/224*q**8 - 3/40*q**5 - 1/80*q**6 + 3/140*q**7 + 117*q**2 - 2*q + 0*q**3 + 0 + 1/8*q**4. Determine w so that y(w) = 0.
-1, 0, 1, 2
Let c = 28 + 107. Determine g so that 7*g**3 + 112 - 12*g**3 - c*g + 45*g**2 + 23 = 0.
3
Factor 0 + 12/7*n**3 + 1/7*n**4 + 24/7*n + 5*n**2.
n*(n + 1)*(n + 3)*(n + 8)/7
Suppose 792*r**2 - 26620 - 112*r**3 + 1257*r + 99174*r**4 + 679*r - 99170*r**4 = 0. Calculate r.
-5, 11
Let r(c) = -c**3 + 6*c**2 - 5*c + 2. Let a be r(5). Let i(l) = -14*l**3 - 3*l**2 - 6*l - 4. Let p be i(-1). Factor -21 + 12*m - 3*m**a + p - m**2.
-4*(m - 2)*(m - 1)
Let p(y) be the first derivative of -63/5*y**2 - 1/10*y**4 + 60 - 34/15*y**3 + 162/5*y. Solve p(w) = 0 for w.
-9, 1
Let u = 6883 - 6883. Let f(k) be the third derivative of -1/210*k**5 - 1/840*k**6 + 0*k**4 + 0*k + u + 17*k**2 + 0*k**3. Factor f(p).
-p**2*(p + 2)/7
Suppose 4*c - 4*y - 16 = 0, -2*c + c = 4*y - 14. Let p(g) = -20*g**3 - g**2 - 2*g - 1. Let z be p(-1). Factor -c + 4*l - z + 2 + 3*l**2 + 2*l.
3*(l - 2)*(l + 4)
Factor -279 - 1803 - 55*y**2 + 1274*y + 5*y**3 - 1954*y + 562.
5*(y - 19)*(y + 4)**2
Let w(d) be the second derivative of 3*d**4/28 - 373*d**3/2 - 2613*d**2/7 - 1000*d - 1. Factor w(u).
3*(u - 871)*(3*u + 2)/7
Determine d so that -980/13 + 602/13*d - 4*d**2 - 2/13*d**3 = 0.
-35, 2, 7
Let v(x) be the first derivative of 5/3*x**3 + 2*x**2 + 3/8*x**4 + 0*x - 53. Find r, given that v(r) = 0.
-2, -4/3, 0
Solve 1/2*q**4 - 1202423168*q + 2137008*q**2 - 1688*q**3 + 253711288448 = 0 for q.
844
Let v(h) be the third derivative of -h**7/105 + h**6/15 + 47*h**5/15 - 49*h**4/3 + 33*h**3 + 26*h**2 - h - 2. Factor v(z).
-2*(z - 11)*(z - 1)**2*(z + 9)
Let j(t) be the second derivative of t**5/4 - 85*t**4/4 + 125*t**3/3 - 646*t. Factor j(p).
5*p*(p - 50)*(p - 1)
Let v(w) = -2*w**4 + 22*w**3 + 124*w**2 + 260*w + 180. Let t(b) = -5*b**4 + 67*b**3 + 372*b**2 + 779*b + 543. Let f(i) = -4*t(i) + 11*v(i). Factor f(u).
-2*(u + 2)*(u + 3)*(u + 4)**2
Let m be (162/396)/((-5)/(-40)*1). Factor -14/11*p**2 + m - 122/11*p.
-2*(p + 9)*(7*p - 2)/11
Let j(l) be the second derivative of 4394*l**6/15 - 5577*l**5/5 - 962*l**4 - 920*l**3/3 - 48*l**2 + 3474*l. Factor j(h).
4*(h - 3)*(13*h + 2)**3
Let f(r) be the first derivative of r**6/420 - r**5/210 - 3*r**4/28 + 3*r**3/7 + 25*r**2 + r + 19. Let x(i) be the second derivative of f(i). Factor x(l).
2*(l - 3)*(l - 1)*(l + 3)/7
Let o(b) be the second derivative of -13/57*b**3 - 108*b + 1/114*b**4 + 0*b**2 + 0. Factor o(q).
2*q*(q - 13)/19
Let j be (((-3)/(-6))/1)/((-2)/(-8)). Determine v so that 18*v**3 + 12*v**4 - 69*v - 108*v**j + 55*v - 3*v**5 + 95*v = 0.
-3, 0, 1, 3
Suppose 12485*y**2 + 2236*y + 180*y**4 + 2753 + 2584*y - 7860*y**3 - 2333 = 0. What is y?
-1/6, 2, 42
Let d be 2/816*57027 - (-2)/(-16). Let i = 140 - d. Factor -2/17*j**2 - i*j + 0.
-2*j*(j + 3)/17
Let k(q) be the second derivative of 11/12*q**3 - 1 - 17/6*q**2 + 1/72*q**4 - 13*q. Determine d, given that k(d) = 0.
-34, 1
Let x(c) be the third derivative of -17/45*c**5 - 49*c**2 + 16/9*c**3 - 1/45*c**6 + 0*c + 0 - 7/18*c**4. Factor x(s).
-4*(s + 1)*(s + 8)*(2*s - 1)/3
Determine n so that 0 + 4*n**4 + 40/3*n**3 - 176/3*n**2 + 32*n = 0.
-6, 0, 2/3, 2
Factor 17453 + 4207 - 163*c + 49*c**3 - 312*c - 130*c**2 - 44*c**3.
5*(c - 19)**2*(c + 12)
Let w(g) be the first derivative of g**3/12 + 28*g**2 - 225*g/4 + 1259. Find p, given that w(p) = 0.
-225, 1
Let h = -213/280 + 31/35. Let o(d) be the first derivative of 28 + 1/6*d**3 + 1/16*d**4 + h*d**2 + 0*d. What is w in o(w) = 0?
-1, 0
Suppose 0 = 4*b - 4*z - 72, -3*b + 556*z - 557*z = -14. Solve -4/3*h**2 + 2/3*h**3 + b - 22/3*h = 0.
-3, 1, 4
Find s such that 6412*s - 4*s**2 - 2*s**2 - 350 - 5360*s = 0.
1/3, 175
Let h(t) be the third derivative of t**5/330 - 43*t**4/132 - 46*t**3/11 + 81*t**2 - 6. Factor h(v).
2*(v - 46)*(v + 3)/11
Suppose -3*o + 6 = -2*o. Suppose 5*r - 2*f - 14 = 0, 2*r - 3*r = -2*f - o. Factor -4*w**2 - 31*w**r - w + 11*w + 25*w**3.
5*w*(w - 1)*(5*w - 2)
Let o = 15084/23 + -75328/115. Factor -6/5 + 2/5*g**2 + o*g.
2*(g - 1)*(g + 3)/5
Let j be (-112)/140 - -1*(-567)/(-15). What is y in 14*y**3 - 19*y**2 + 10*y**3 + j*y - 35*y**3 + 12*y**3 + 27*y - 60 = 0?
2, 15
Suppose h = -5*h + 24. Suppose p - 3 = h*v, 7*p - 4*v = 3*p + 48. Factor -8*b**2 - 12*b**3 + p - 30 + 4*b**5 + 15.
4*b**2*(b - 2)*(b + 1)**2
Let i(g) = g + 13. Let y be i(-6). Let z be 0 + 12/(-4) + y. Determine w so that 2*w**2 + 4*w**z - 2*w**3 + 2*w**2 + 10*w**3 = 0.
-1, 0
Let v = 226 - 221. Factor n**4 - 367 + 20*n**3 + 19*n**4 + 367 + v*n**5.
5*n**3*(n + 2)**2
Let d(v) be the third derivative of 0 - 1/9*v**3 + 3*v**2 - 1/36*v**4 + 1/720*v**6 + 1/360*v**5 + 0*v. Factor d(j).
(j - 2)*(j + 1)*(j + 2)/6
Suppose 105*u = -89*u. Let o(a) be the third derivative of 0 + u*a**3 + 0*a - 1/900*a**6 - 4/225*a**5 + 1/1575*a**7 + 1/15*a**4 - 7*a**2. Factor o(b).
2*b*(b - 2)**2*(b + 3)/15
Determine b, given that 4 - 2/7*b**4 - 30/7*b + 30/7*b**3 - 26/7*b**2 = 0.
-1, 1, 14
Suppose 30*w + 50*w - 23*w - 912 = 0. Let f(n) be the first derivative of -1/6*n**3 + 1/2*n**2 - w - 1/2*n. Factor f(h).
-(h - 1)**2/2
Let t be (-132)/24 - (-76)/8. Let o(v) be the second derivative of 1/2*v**3 + 0 + 4*v + 0*v**2 - 1/4*v**t. Factor o(q).
-3*q*(q - 1)
Let f = -265 - -152. Let d = 124 + f. Let y(l) = l**3 - 4*l**2 - 8*l - 4. Let s(w) = -3*w**3 + 11*w**2 + 23*w + 11. Let b(i) = d*y(i) + 4*s(i). Factor b(n).
-n*(n - 2)*(n + 2)
Let r(g) be the second derivative of 80/3*g**3 - 1/90*g**6 + 8/15*g**5 - 75/2*g**2 + 20*g - 143/18*g**4 + 0. Factor r(d).
-(d - 15)**2*(d - 1)**2/3
Let h = 253 + -248. What is w in h*w**2 + 2007 - 587 - 837 - 230*w + 2062 = 0?
23
Let v(c) = c**2 + 27*c + 10. Let r be v(-27). Let u(d) be the first derivative of -3/8*d - r - 1/24*d**3 + 1/4*d**2. Factor u(n).
-(n - 3)*(n - 1)/8
Factor -2*x**2 - 1072/5 - 2684/5*x.
-2*(x + 268)*(5*x + 2)/5
Suppose 1/3*n**5 + 6 - 22/3*n**2 + 5*n - 16/3*n**3 + 4/3*n**4 = 0. What is n?
-6, -1, 1, 3
Solve -2382*t**4 + 32 - 2742*t**4 + 4072*t**2 + 6533*t - 1317*t**3 - 4847*t**3 + 1675*t - 1024*t**5 = 0.
-2, -1/256, 1
Let r = -872 + 673. Let m = r + 199. Suppose -c**3 + 4/3*c - 5/3*c**4 - 1/3*c**5 + m + 5/3*c**2 = 0. What is c?
-4, -1, 0, 1
Let u be (-150)/((-30)/3) - 11. Let h(f) be the first derivative of -10 - 2/9*f**2 + 0*f - 2/27*f**3 + 1/6*f**u. Factor h(w).
2*w*(w - 1)*(3*w + 2)/9
Suppose 0 = -3*h + 8*x - 13*x - 27, -4*h = x + 2. Factor -13/6*s**2 - 37/6*s + h.
-(s + 3)*(13*s - 2)/6
Let z(b) be the third derivative of 14/3*b**4 - 1 + 2/3*b**7 - 8/3*b**3 - 31/15*b**5 + 27*b**2 + 0*b - 11/84*b**8 - 17/30*b**6. Find h, given that z(h) = 0.
-1, 2/11, 1, 2
Let k(g) = 8*g**2. Let f(d) = -d + 567*d**2 - 282*d**2 - 275*d**2 + 3*d. Let z(v) = 2*f(v) - 3*k(v). What is i in z(i) = 0?
0, 1
Let m = -6980 - -6984. Let f(c) be the second derivative of -19*c + 1/66*c**3 + 1/165*c**6 + 0 - 1/462*c**7 + 0*c**5 + 0*c**2 - 1/66*c**m. Factor f(z).
-z*(z - 1)**3*(z + 1)/11
Solve -18748*h + 464*h**2 + 19610*h - 35*h**2 - h**3 = 0.
-2, 0, 431
Let d be -1 - (-41)/((-574)/(-28))*14/16. Let g(f) be the first derivative of 0*f**2 - 3*f**3 + 8 + d*f**4 + 12*f. What is m in g(m) = 0?
-1, 2
Determine u so that -12/7*u**3 - 32/7*u + 0 - 16/7*u**4 + 8*u**2 + 4/7*u**5 = 0.
-2, 0, 1, 4
Le