k/(-65)*(-3 + 0 + -1). Solve -14/13*y + 14/13*y**2 + 4/13 - q*y**3 = 0 for y.
1/2, 1, 2
Let n(l) be the second derivative of -l**6/50 - 27*l**5/100 - 5*l**4/4 - 27*l**3/10 - 3*l**2 + 2475*l. Suppose n(k) = 0. What is k?
-5, -2, -1
Suppose -3*q + 76 = -p + 3*p, 3*q - 51 = 3*p. Let l be 22/q + 2/1. Determine o so that 0 + 1/2*o**4 - 1/2*o**2 - o - 1/2*o**5 + 3/2*o**l = 0.
-1, 0, 1, 2
Suppose -25*l + 24*l + 5*p + 47 = 0, -p - 197 = -3*l. Determine y so that -135*y**4 + 4*y**5 - 144*y**2 + 29*y**3 + l*y**3 + 83*y**4 + 96*y**4 = 0.
-6, 0, 1
Let o(d) be the second derivative of d**4/42 - 96*d**3/7 + 572*d**2/7 + 2862*d. Factor o(z).
2*(z - 286)*(z - 2)/7
Let v be ((-910716)/(-464))/((-3)/(-4)). Suppose 2615*i + 6 = v*i. Factor 1/4*w**i + 1 - w - 1/4*w**2.
(w - 2)*(w - 1)*(w + 2)/4
Let h be -5 - (80/48 + 20/(-3)). Let m(c) be the third derivative of 0*c + 19/320*c**6 + 1/80*c**5 + 0*c**4 + 0 + 20*c**2 + h*c**3. Factor m(i).
3*i**2*(19*i + 2)/8
Factor 829/2*s - 415 + 1/2*s**2.
(s - 1)*(s + 830)/2
Suppose 8 - 59/3*v**2 - 8/3*v**3 + 43/3*v = 0. Calculate v.
-8, -3/8, 1
Let o(y) be the first derivative of 5/28*y**4 - 1/14*y**2 - 2/21*y**6 - 3/35*y**5 - 67 + 1/7*y**3 + 0*y. Find p, given that o(p) = 0.
-1, 0, 1/4, 1
Suppose 2*d - 12 = 2*l, -49 = -4*l - 5*d + 8. Suppose -4/3*q**2 + 0*q + 0 - 4/3*q**l = 0. Calculate q.
-1, 0
Suppose 0 = -12*h + 10*h + 6. Let i(o) = -7*o**3 - 20*o**2 + 15*o + 37. Let b be i(-3). Suppose 0*t - b + 1/4*t**h + 3/4*t**2 = 0. Calculate t.
-2, 1
Suppose 14*y = 25*y - 15*y. Suppose -33*t + 31*t + 6 = 0. Find a, given that 12/7*a**t + 0*a**4 + 0*a + y + 0*a**2 - 3/7*a**5 = 0.
-2, 0, 2
Let z(p) be the third derivative of p**7/1400 + p**6/200 - p**4/10 - 44*p**3/3 + 51*p**2 - 2*p. Let m(v) be the first derivative of z(v). Factor m(w).
3*(w - 1)*(w + 2)**2/5
Let v(u) be the first derivative of -u**7/1400 - u**6/150 + u**5/40 - 40*u**3/3 - u**2/2 - 187. Let n(t) be the third derivative of v(t). Factor n(q).
-3*q*(q - 1)*(q + 5)/5
Find v, given that 233*v**2 - 711188*v + 207*v**2 + 44*v**4 + 128 - 218*v**3 - 2*v**5 + 710796*v = 0.
1, 2, 16
Let s = 474 + -40. Let y = s + -430. What is o in -45*o**y + 12 + 33*o**2 + 57/2*o**3 + 27/2*o**5 - 42*o = 0?
-1, 2/3, 1, 2
Let s be ((-60)/(-8) - 8)*-46. Suppose s*u = -28*u. Factor 0 + 4/7*d**4 + u*d + 2/7*d**2 - 6/7*d**3.
2*d**2*(d - 1)*(2*d - 1)/7
Let y(c) be the third derivative of -5*c**7/42 + 53*c**6/4 + 491*c**5/4 + 3895*c**4/12 + 340*c**3 + 11*c**2 + 79*c. Solve y(m) = 0.
-3, -1, -2/5, 68
Suppose -15*s + 12*s = -2625. Let m be ((-1)/5)/((-28)/s) - 5. Let 5/4 - 5/4*y**3 + m*y - 5/4*y**2 = 0. Calculate y.
-1, 1
Suppose 40*s - 24 = 376. Determine y, given that 51*y**3 + 35*y**4 - 16*y**3 + 2*y**5 + s*y**2 + 8*y**5 = 0.
-2, -1, -1/2, 0
Let r be (-7 - -11)/4 + 16. Find j, given that -2052*j + r*j**3 + 1162*j**4 - 131*j**3 - 1159*j**4 + 1191*j**2 + 972 = 0.
1, 18
Let u = -27618 + 552361/20. Let d(p) be the second derivative of 0 + 8/3*p**3 + 2/3*p**4 + 0*p**2 + u*p**5 - 18*p. Find n such that d(n) = 0.
-4, 0
Let p(k) = -k**2 + 603*k + 602. Let v(y) = 8*y**2 - 3014*y - 3011. Let u(q) = -11*p(q) - 2*v(q). Determine l, given that u(l) = 0.
-120, -1
Suppose 4*m = 16*m - 48. Factor -13*p**4 - 5*p**2 + 8*p**m + 16*p**3 - 8*p - 7*p - p**3 + 10.
-5*(p - 2)*(p - 1)**2*(p + 1)
Let r(x) = -526*x**2 - 39457*x - 523. Let m be r(-75). Let -6*z + 0*z**m + 2/7*z**3 + 40/7 = 0. Calculate z.
-5, 1, 4
Suppose 16 - 4 = 6*f. Let g be 1/f + (-22)/(-4). Determine m so that -8*m**3 - 2*m**3 - m**3 + g*m**3 = 0.
0
Let w be (6 - (-301)/(-28)) + (-4 - -8) + 95/76. Factor 9/2*d**2 + w*d**3 + 27/2 + 27/2*d.
(d + 3)**3/2
Let d(o) = 178*o + 181. Let h be d(-1). Let q(w) be the second derivative of -w + 1/12*w**h + 0 + 0*w**2 - 1/24*w**4. Factor q(g).
-g*(g - 1)/2
Let c(u) be the first derivative of u**7/105 - u**6/12 - 53*u**2/2 + 97. Let g(n) be the second derivative of c(n). Factor g(o).
2*o**3*(o - 5)
Find g such that -177955 + 69*g**2 - 564*g**2 - g**3 + 16335*g + 6*g**3 - 1730 = 0.
33
Let o(c) be the second derivative of -c**5/80 - c**4/48 + 47*c**3/12 - 22*c**2 - 19*c - 16. Let o(i) = 0. What is i?
-11, 2, 8
Suppose -3*q + 3098 = z + 3103, -30 = -4*q + 2*z. Let 1/4*t**4 - 7/2*t**3 + 9 - 21*t + 61/4*t**q = 0. Calculate t.
1, 6
Factor -4 + 15/4*s + 1/4*s**2.
(s - 1)*(s + 16)/4
Let c(g) be the third derivative of g**5/20 - 6*g**4 + 135*g**3/2 - 2340*g**2. Solve c(f) = 0 for f.
3, 45
Let k(y) be the first derivative of 7*y**5/20 + 23*y**4/16 - 16*y**3/3 - 47*y**2/2 - 12*y + 1196. Find w, given that k(w) = 0.
-4, -2, -2/7, 3
Suppose 1/10*w**2 + 8/5*w - 256/5 = 0. Calculate w.
-32, 16
Let d(b) be the first derivative of 2*b**3/39 + 37*b**2/13 + 140*b/13 + 3962. Factor d(g).
2*(g + 2)*(g + 35)/13
Suppose -b + 9 = 5, -3*y = -5*b + 455. Let i = -140 - y. Solve -20*c**3 + 19*c**3 - 5*c**i - 5*c**2 + 5*c**4 + 16*c**3 - 10*c = 0 for c.
-1, 0, 1, 2
Let i(p) be the third derivative of p**9/5040 - p**8/448 - p**7/105 + p**6/5 + 41*p**4/8 - 64*p**2. Let t(r) be the second derivative of i(r). Factor t(q).
3*q*(q - 4)**2*(q + 3)
Let y = -9538045/8 + 1192256. Factor 69/8 + 75/8*q**2 + y*q**3 + 141/8*q.
3*(q + 1)**2*(q + 23)/8
Let k be (0 - -1) + (-210)/(-150)*10/(-42). Factor 2/15*v + k - 2/3*v**2 - 2/15*v**3.
-2*(v - 1)*(v + 1)*(v + 5)/15
Let k(d) be the second derivative of d**4/12 + 2324*d**3/3 + 2700488*d**2 - 2*d - 1375. Factor k(o).
(o + 2324)**2
Let n = 501913 + -501897. Let 7/2*t**5 + 36*t**4 + 173*t**2 + 96*t + n + 251/2*t**3 = 0. Calculate t.
-4, -1, -2/7
Let p(h) = -72*h**2 - 1290*h + 110. Let r be p(-18). Suppose 16/9 - r*u + 2/9*u**2 = 0. Calculate u.
1, 8
Suppose -25*u = -14*u + 825. Let m be 10/u*(-18)/4. Solve 13/5*y**3 - m*y**4 + 8/5 - 4/5*y - 14/5*y**2 = 0.
-2/3, 1, 2
Let f(x) be the first derivative of 5*x**3/12 + 5*x**2/2 - 825*x/4 + 3996. Factor f(m).
5*(m - 11)*(m + 15)/4
Let c(t) be the second derivative of -t**7/3780 + t**5/180 - t**4/54 - 23*t**3/3 - t**2/2 - t - 72. Let m(p) be the second derivative of c(p). Factor m(h).
-2*(h - 1)**2*(h + 2)/9
Let m(u) = -3*u**2 - 4*u + 54. Let f be m(9). Let w = 227 + f. Factor 21/5*k**4 - 16/5*k**3 + 4/5*k**w - 9/5*k**5 + 0*k + 0.
-k**2*(k - 1)*(3*k - 2)**2/5
Factor -2/3*q**2 + 8/3*q - 8/3.
-2*(q - 2)**2/3
Let k(h) be the third derivative of h**6/80 + 3*h**5/4 + 57*h**4/16 + 7*h**3 - 304*h**2. Let k(u) = 0. Calculate u.
-28, -1
Let n(g) be the third derivative of g**9/7560 - g**7/1260 + 7*g**4/12 - 38*g**2. Let p(o) be the second derivative of n(o). Determine v so that p(v) = 0.
-1, 0, 1
Let h be 3649/190 + 198/(-1881) + 4/8*10. Factor 32/5 + 104/5*f + 23/2*f**3 + 19/10*f**4 + h*f**2 + 1/10*f**5.
(f + 1)**3*(f + 8)**2/10
Suppose -15 = 3*w - 6*w. Suppose t + t + w*x = -7, 5*t - 14 = -2*x. Let 14*g**4 + 5*g**3 - 672*g**2 + 662*g**2 - t*g**4 - 5*g**5 = 0. Calculate g.
-1, 0, 1, 2
Let k(z) be the third derivative of z**8/28 - 44*z**7/105 - 77*z**6/30 + 508*z**5/15 - 80*z**4/3 - 3619*z**2 + z. Suppose k(c) = 0. What is c?
-5, 0, 1/3, 4, 8
Let x(y) = -y + 1. Let t be x(-4). Let o(b) = -4*b**4 + b. Let p(v) = -14 + 0 + 6 + v**2 + 8 + v - 7*v**4. Let l(s) = t*o(s) - 3*p(s). Factor l(m).
m*(m - 1)**2*(m + 2)
Let m(l) be the second derivative of 5*l**4/12 + 1900*l**3/3 - 120*l + 19. Factor m(q).
5*q*(q + 760)
Let t be 10/(((-32)/(-12))/8). Let q(m) = -5*m**3 + 6*m + 2. Let n(a) = -a**3 - a**2 - a - 1. Let l(r) = t*n(r) - 5*q(r). What is o in l(o) = 0?
-2
Let r(k) be the third derivative of -k**5/40 + 15*k**4/16 - 7*k**3/2 + 1704*k**2. Solve r(d) = 0.
1, 14
Let f(v) be the third derivative of v**6/360 + v**5/36 - 19*v**4/24 + 11*v**3/2 + v**2 - 2510*v. Let f(i) = 0. Calculate i.
-11, 3
Let w = 550 + -218. Let -649 - w*g + 196*g**3 - 1120*g**2 - 646 + 1271 = 0. Calculate g.
-1/7, 6
Factor -48 - 28/5*i + 4/5*i**2.
4*(i - 12)*(i + 5)/5
Suppose 2*j - 3*s = -87, 6*s - 221 = 5*j + 2*s. Let r be (6/3)/6 - 3/j. Factor -2/5*g**4 + 1/5*g**5 + 0*g + r*g**2 + 0 - 1/5*g**3.
g**2*(g - 2)*(g - 1)*(g + 1)/5
Suppose 2/21*k**2 - 26/21*k - 40/3 = 0. What is k?
-7, 20
Let d(z) = -2*z**2 + 12*z + 3. Let b be d(6). Determine n so that n**4 + 52*n**2 + 4*n**4 - 4*n**3 - b*n**4 - 6*n**4 - 48 + 4*n = 0.
-4, -1, 1, 3
Let j(c) = c - 9. Let a be j(17). Factor -4*g**4 + a - 4*g**2 - 22*g**3 + 75*g**5 + 6*g**3 + 0 -