*2 + 12/5*k**3 - 24*k = 0?
-5, 2
Factor 29/7*k + 11/7*k**2 - 60/7.
(k + 4)*(11*k - 15)/7
Determine y so that -872842 + 457*y**3 + 984*y**4 + 367*y**3 - 922*y + 872806 + 98*y**5 - 948*y**2 = 0.
-9, -1, -2/49, 1
Let r(y) be the third derivative of 0 - 1/60*y**5 + 0*y**3 - y - 4*y**2 + 3/8*y**4. Let r(h) = 0. Calculate h.
0, 9
Let z(v) be the second derivative of -5/12*v**4 + 0*v**3 + 0*v**2 + 2 - 8*v. Solve z(u) = 0 for u.
0
Let y be 2*((-10)/(-45) - 66/54). Let p be y/30*(-180)/54. Factor 0*d**4 + 0*d + 0*d**2 + 0 - p*d**5 + 2/9*d**3.
-2*d**3*(d - 1)*(d + 1)/9
Suppose 49 = 8*i - 7. Let g be (i/63)/(2/6). Factor g*r + 0*r**2 + 0 - 1/3*r**3.
-r*(r - 1)*(r + 1)/3
Let p be (-268892)/20684*((-22)/39 - 0). Factor p*h**4 - 8/3*h - 16*h**3 - 7/6*h**5 + 0 + 40/3*h**2.
-h*(h - 2)**3*(7*h - 2)/6
Suppose 6*w = -324 - 348. Let o be w/(-64)*2/7. Find v, given that o*v**2 + 0 - 1/2*v**3 + 1/2*v**5 + 0*v - 1/2*v**4 = 0.
-1, 0, 1
Let j(u) be the third derivative of u**7/315 + 17*u**6/90 + 5*u**5/18 - 23*u**4/3 - 44*u**3 - 420*u**2 + 3*u. Find a such that j(a) = 0.
-33, -2, 3
Let n(i) be the second derivative of -80*i - 1/40*i**5 - 1/3*i**4 + 0 - 5/3*i**3 - 4*i**2. Factor n(d).
-(d + 2)**2*(d + 4)/2
Let i(d) be the second derivative of 10*d**3 + 1/6*d**4 - 2 + 3*d + 29*d**2. Factor i(y).
2*(y + 1)*(y + 29)
Let l(y) = 3*y - 10. Let m be l(5). Suppose 5*p = -m*g + 80, 17 = 5*g + 3*p - 57. Factor 17*v + 51 - 3 - 4*v**3 + 2*v + g*v - 4*v**2.
-4*(v - 3)*(v + 2)**2
Let r = -9088407/7 + 1298344. Find c, given that -r*c**2 + 0 - 16/7*c = 0.
-16, 0
Let y(o) = -193*o**2 + 383*o**2 - 7796 + 571*o - 200*o**2. Let k(n) = 2*n**2 - 114*n + 1560. Let l(s) = -11*k(s) - 2*y(s). Factor l(q).
-2*(q - 28)**2
Let g(x) = 0*x**3 + x**3 + 0*x - 2*x**3 - 2 - 2*x**2 - 2*x. Let m be g(-2). What is f in 12/7*f - 8/7 + 20/7*f**m = 0?
-1, 2/5
Factor 27*m - 2038*m**2 - 14*m + 51*m + 2034*m**2.
-4*m*(m - 16)
Let o(u) = -458*u**2 + 200*u**3 + 10569*u - 603 - 9522 - 198*u**3. Let c(y) = y**3 + y**2 + 2*y. Let r(s) = -3*c(s) - o(s). Factor r(g).
-5*(g - 45)**2*(g - 1)
Let b(n) be the first derivative of -5*n**8/672 + n**6/48 + n**2 + 2*n - 180. Let r(t) be the second derivative of b(t). Find c, given that r(c) = 0.
-1, 0, 1
Let a(t) be the third derivative of t**8/3024 + 17*t**7/1890 + 7*t**6/135 + 13*t**5/135 + 3874*t**2. Suppose a(o) = 0. What is o?
-13, -2, 0
Let j(h) be the first derivative of -h**6/15 + 4*h**5/5 - 13*h**4/6 + 2*h**3 - 18*h + 27. Let d(b) be the first derivative of j(b). Factor d(c).
-2*c*(c - 6)*(c - 1)**2
Let z = -37 + 58. Factor -1 - 80*a + 5425*a**3 + z - 5*a**5 + 125*a**2 - 5520*a**3 + 35*a**4.
-5*(a - 2)**2*(a - 1)**3
Let b(a) = 577*a - 167907. Let i be b(291). Factor -29/3*z + i + 1/3*z**3 + 28/3*z**2.
z*(z - 1)*(z + 29)/3
Let q(a) be the first derivative of -2*a**3/39 + 33*a**2/13 - 432*a/13 + 2766. Suppose q(o) = 0. What is o?
9, 24
Let k(x) be the third derivative of 3*x**7/35 - 23*x**6/12 + 211*x**5/15 - 149*x**4/3 + 280*x**3/3 - 1490*x**2. Let k(z) = 0. Calculate z.
1, 2, 70/9
Let t(p) = -p**3 + 16*p**2 - 17*p + 32. Let v be t(15). Factor -44*b**v + 34 - 27 + 29 - 72*b - 4.
-4*(b + 2)*(11*b - 4)
Let k(i) be the second derivative of 1/24*i**4 + 0*i**3 - 28 - 2*i + 0*i**2. Factor k(d).
d**2/2
Suppose 9*g - 6*g + 3*y + 6 = 0, 4*g - 5*y + 44 = 0. Let c be g/(-10) + -1 - (-2508)/570. Factor 2/3 + 0*h**2 + 4/3*h - 4/3*h**3 - 2/3*h**c.
-2*(h - 1)*(h + 1)**3/3
Let u = -1040873/5 - -208175. Factor 16/5*r + u*r**2 - 18/5.
2*(r - 1)*(r + 9)/5
Suppose 2*b = -4*y + 198, -3*y - 2*y = -3*b - 275. Suppose -y*a + 6 = -49*a. Determine i so that 5*i + a*i - 4*i**3 - 19*i + 20*i**2 - 36 = 0.
-1, 3
Solve 2/11*w**2 + 8/11*w + 0 = 0 for w.
-4, 0
Let l = 1379/843 - 366/281. Suppose l + 1/6*o**2 - 1/2*o = 0. Calculate o.
1, 2
Suppose -20*s**4 + 0*s**5 + 18*s + 20*s**2 - 2*s**5 - 100363046 - 16*s**3 + 100363046 = 0. What is s?
-9, -1, 0, 1
Let r(w) be the third derivative of 0*w - 108/7*w**3 - 2*w**2 + 3/7*w**4 - 48 - 1/210*w**5. Factor r(j).
-2*(j - 18)**2/7
Let -455985*h**2 + 3005*h**3 + 294349 - 5*h**4 - 146498 + 1346995*h - 495528 - 546333 = 0. Calculate h.
1, 2, 299
Let x(f) be the first derivative of -2*f**3/27 - 944*f**2/9 - 1886*f/9 + 6083. Solve x(a) = 0.
-943, -1
Let p(u) be the second derivative of 2*u**6/45 - u**5/15 - 11*u**4/9 + 2*u**3 + 12*u**2 - 11*u + 60. Find f such that p(f) = 0.
-3, -1, 2, 3
Let v = -25 - -30. Suppose v = y + 3. Factor 2*n - 12*n**5 - 25*n**4 - 3*n**y - 21*n**3 + 3*n**2 + 3*n**5 - 3*n**2.
-n*(n + 1)**3*(9*n - 2)
Let a(x) be the first derivative of 1/9*x**3 - 5/6*x**2 - 22 - 14/3*x. Find p, given that a(p) = 0.
-2, 7
Let n(o) be the third derivative of o**7/6300 + 17*o**6/900 + 289*o**5/300 + 83*o**4/24 + 38*o**2. Let a(h) be the second derivative of n(h). Factor a(g).
2*(g + 17)**2/5
Let z(f) = f**2 - 6*f - 14. Let k = 6 - -2. Let p be z(k). Determine u so that 2*u**2 + 2*u**p - u**2 + 3*u = 0.
-1, 0
Let h(y) be the first derivative of y**3/5 + 3579*y**2/5 + 4269747*y/5 - 6470. Factor h(l).
3*(l + 1193)**2/5
Let y be 1/(-3) + (-46)/(-3). Let k be (8 - 9) + -7 + 8*1. Determine w so that -4*w**4 + k*w**4 - y - 48*w + 31*w**2 - 23*w**2 - 21 + 16*w**3 = 0.
-1, 3
Let k(i) be the second derivative of -i**6/165 - 43*i**5/110 - 481*i**4/66 - 119*i**3/11 + 882*i**2/11 - 853*i - 2. Suppose k(m) = 0. What is m?
-21, -2, 1
Suppose -3*w**2 - 108/5 + 3/5*w**3 - 96/5*w = 0. What is w?
-2, 9
Suppose -2*d + d = -5. Let i(j) = j**3 + j**2 - 166*j + 687. Let y be i(9). Factor 5/2*g**4 + 5/2*g**2 - d*g**y + 0 + 0*g.
5*g**2*(g - 1)**2/2
Let y = 1715825 - 1715819. Factor 15/2*z + 3 + y*z**2 + 3/2*z**3.
3*(z + 1)**2*(z + 2)/2
Suppose 564 = -260*u + 542*u. Find k, given that 65/3*k + 55/3*k**u + 10/3 = 0.
-1, -2/11
Factor -1300*d**2 - 1297/2*d - 8*d**3 - 81.
-(d + 162)*(4*d + 1)**2/2
Let d(p) = p**3 - 3*p**2 - 31*p - 10. Let l be d(-4). Let g be (830/175 - l)/((-4)/(-28)). Factor 9/5*q**3 + 57*q + g*q**2 + 30.
3*(q + 5)**2*(3*q + 2)/5
Factor 82/5*d + 2/5*d**2 - 84/5.
2*(d - 1)*(d + 42)/5
Find x such that 1140*x**2 - 3*x**4 - 126*x**3 + 418 - 585*x - 724*x - 1643*x + 1982 = 0.
-50, 2, 4
Let s = -49 - -52. Suppose -g + 1 = 4*g + s*t, 0 = -2*t - 6. Factor h + 11*h**2 - 17*h**2 - 2*h**2 + 7*h**g.
-h*(h - 1)
Let i be 10406/(-264) + 37 + (-8)/(-3). Factor -i*q**2 - 19/8*q + 3/8*q**3 - 3/4.
(q - 3)*(q + 2)*(3*q + 1)/8
Solve -5*h**3 - 4*h**2 + 4*h**2 + 14*h**2 - 99*h**2 - 150*h = 0.
-15, -2, 0
Let u = -126545/3 + 379639/9. Factor -76/9 - u*p**2 + 80/9*p.
-4*(p - 19)*(p - 1)/9
Let v be -7 + 4/(-54)*(-6876)/72. Let i(g) be the second derivative of -5*g + 1/9*g**2 + 0 + v*g**3 + 1/54*g**4. Factor i(x).
2*(x + 1)**2/9
Let c = 4710 - 131879/28. Let g(w) be the third derivative of 0*w**3 - 1/8*w**5 - 1/24*w**6 + 0 + 5/24*w**4 + c*w**7 + 10*w**2 + 0*w. Find j such that g(j) = 0.
-1, 0, 2/3, 1
Suppose 16/3*z + 29/6*z**2 - 10 - 1/6*z**3 = 0. What is z?
-2, 1, 30
Let d = 53 - 40. Suppose d*x - 15*x = -10. Factor 10*s**5 + 5*s**5 + 18*s**5 - 10*s**3 - x*s**4 - 28*s**5.
5*s**3*(s - 2)*(s + 1)
Let b(k) = k**2 + 6*k + 5. Let t(q) = -3*q**3 + 3*q**2 - 1. Let i be t(-1). Let u(m) = m + 1. Let f(n) = i*b(n) - 40*u(n). Let f(r) = 0. Calculate r.
-1, 3
Let a(n) = 14*n**3 + 47*n**2 + 232*n + 139. Let l(j) = -40*j**3 - 142*j**2 - 688*j - 418. Let f(t) = 14*a(t) + 5*l(t). Factor f(b).
-4*(b + 1)*(b + 6)**2
Let k(o) = 5*o**3 - o**2 + 3*o + 1. Let v(f) be the third derivative of f**6/30 - f**5/30 + f**4/6 + 52*f**2. Let g(j) = -3*k(j) + 4*v(j). Factor g(h).
(h - 3)*(h - 1)**2
Let o be (-5 - -2)/(-6 + 5). Suppose -k + 0*k = -o*d + 9, 3*k = 0. Let 2 - j**2 + d*j**3 - 2*j**3 - 5*j - 5 = 0. Calculate j.
-1, 3
Let r(h) = 4*h**2 + 104*h + 268. Let s(y) = -4*y**2 - 114*y - 269. Let m(k) = -3*r(k) - 4*s(k). Factor m(g).
4*(g + 2)*(g + 34)
Let i = -2064 - -2126. Let r be i/10 - (-66)/165. Suppose 3/5*j**3 - 21/5*j**2 + r*j - 3 = 0. What is j?
1, 5
Let a(r) be the first derivative of -24 - 8*r**2 + 0*r + 4/5*r**5 - 5*r**4 + 32/3*r**3. Factor a(b).
4*b*(b - 2)**2*(b - 1)
Let f(y) be the second derivative of 0 + 1/4*y**4 - 3/2*y**3 + 5/2*y**2 - 30*y - 1/60*y**5. Let n(g) be the first derivative of f(g). What is a in n(a) = 0?
3
Let n(j) be the first derivative of j**7/210 - j**6/10 + 23*j**5/30 - 5*j**4/2 + 95*j**3/