 j*u(b) + 10*m(b). Determine k, given that c(k) = 0.
0, 1
Let z = -27285 + 27287. Let n(x) be the third derivative of -1/60*x**6 + 0*x**4 + 0*x**3 + 0*x - 1/168*x**8 - 15*x**z + 0 + 0*x**5 + 2/105*x**7. Factor n(h).
-2*h**3*(h - 1)**2
Let v(t) be the first derivative of -t**5/30 - t**4/9 + 13*t**3/3 - 24*t**2 - 148*t - 165. Let z(q) be the first derivative of v(q). Factor z(l).
-2*(l - 3)**2*(l + 8)/3
Suppose 0 = -9*k - 10*k + 51*k. What is s in k + 1/5*s**4 - 1/5*s**3 - 4/5*s**2 + 4/5*s = 0?
-2, 0, 1, 2
Let k be ((6 + -1 - 3) + -1)*-2. Let g(t) = 2*t**2 + 4*t + 2. Let m be g(k). Let -1241*a + 1241*a - 1 + a**m = 0. What is a?
-1, 1
Factor -12 - 12 + 4*y**3 + 24*y**2 - 14*y**2 - 46*y - 4*y**2.
2*(y - 3)*(y + 4)*(2*y + 1)
Let n = 1252/5 + -10011/40. Let c(s) be the first derivative of 0*s**2 + 0*s**3 + 0*s + 13 - n*s**4. Solve c(z) = 0 for z.
0
Suppose -k - 4 + 6 = 0. Suppose -5*v = -k*t, 5*v = -t + 2*v + 11. What is b in t*b**3 - 3*b**3 - 2*b**5 - 4*b**4 - 20*b**2 + 24*b**2 = 0?
-2, -1, 0, 1
Let x(i) = -4*i**2 - 36*i - 36. Let m be x(-8). Let w be m/(-8) + (-56)/(-16). Factor 2/9*l**5 + 2/9*l**2 + 0*l - 2/9*l**w + 0 - 2/9*l**3.
2*l**2*(l - 1)**2*(l + 1)/9
Let o(x) be the first derivative of x**4/6 - 22*x**3/3 + 72*x**2 + 648*x - 140. Factor o(y).
2*(y - 18)**2*(y + 3)/3
Let i be (-56)/(-10)*(0 + 4 - (-2056)/1799). Determine s, given that 2/5*s**3 + i*s + 216/5 + 6*s**2 = 0.
-6, -3
Let h(k) be the second derivative of k**4/6 + 7*k**3 + 110*k**2 + 111*k + 6. Factor h(i).
2*(i + 10)*(i + 11)
Solve 0 + 3/7*d**2 + 354/7*d = 0 for d.
-118, 0
Solve -36*a**2 - 4*a**3 + 30*a**2 - 48*a**2 + 124*a - 39*a**2 + 232 - 19*a**2 = 0 for a.
-29, -1, 2
Let v(t) be the first derivative of t**5/10 - 2*t**4 + 23*t**3/2 - 27*t**2/2 - 2988. Suppose v(j) = 0. What is j?
0, 1, 6, 9
Let u be ((-108)/45)/((-15)/50). Factor -u - 5*s + 5*s**3 + 2*s**2 + 0*s - 7*s + s.
(s + 1)**2*(5*s - 8)
Let 178/7*v + 180/7 - 2/7*v**2 = 0. Calculate v.
-1, 90
Let i be (-15)/(-30)*(-11)/((-11)/6). Solve 0 - 1/7*b**i + 4/7*b + 0*b**2 = 0.
-2, 0, 2
Factor 1/2*f**3 - 73/2*f**2 - 138 + 140*f.
(f - 69)*(f - 2)**2/2
Let n(k) be the third derivative of k**6/30 + 2*k**5/3 + 13*k**4/6 - 16*k**3 - 568*k**2. Find u, given that n(u) = 0.
-8, -3, 1
Let q = -118 + 168. Let n = 50 - q. Factor 1/8*a**4 + 3/8*a**3 + 1/4*a**2 + 0*a + n.
a**2*(a + 1)*(a + 2)/8
Suppose 6233 = -74*d + 6529. Let v(c) be the first derivative of c**d + 8*c**3 - 4/5*c**5 - 32*c - 8*c**2 - 13. Factor v(t).
-4*(t - 2)**2*(t + 1)*(t + 2)
Let m = 278563/4 - 69640. Let -9/4*t**4 + 3/4*t**5 - 3/2*t + m*t**3 + 9/4*t**2 + 0 = 0. What is t?
-1, 0, 1, 2
Factor 489/5*g**3 - 3006/5*g**2 + 3/5*g**4 + 1212*g - 4056/5.
3*(g - 2)**3*(g + 169)/5
Factor -700/9*q - 464/3 - 2/9*q**2.
-2*(q + 2)*(q + 348)/9
Let m = 34 + -31. Let a be -6*m/30 - 58/(-5). Factor -16*l**2 - a*l**3 - 13*l**2 + 8*l**3 - 18 + 5*l**2 - 39*l.
-3*(l + 1)**2*(l + 6)
Suppose 0 - 2/9*a**2 + 586/9*a = 0. Calculate a.
0, 293
Let t(s) = -5*s**4 + 161*s**3 - 347*s**2. Let r(z) = 21*z**4 - 639*z**3 + 1389*z**2. Let h(y) = -6*r(y) - 26*t(y). Factor h(n).
4*n**2*(n - 86)*(n - 2)
Suppose -5*v - t = -4*v + 12, -4*t = 0. Let g be 15/30 + 2/v. What is i in -1/3*i + 0 + i**2 + g*i**4 - i**3 = 0?
0, 1
Find s, given that 0 + 0*s - 116*s**3 - 680/3*s**2 - 4/3*s**4 = 0.
-85, -2, 0
Let n = -22 + 141. Factor 100*q**2 + 100*q**2 + 80*q + 50*q**4 + 5*q**5 + n*q**3 + 10*q**3 + 36*q**3.
5*q*(q + 1)**2*(q + 4)**2
Let o(b) be the third derivative of -b**5/150 - 2*b**4/15 + 3*b**3/5 - 187*b**2. Factor o(q).
-2*(q - 1)*(q + 9)/5
Let u be 9/36*(12 - 0). Let d(j) = -85*j + 255. Let q be d(u). Factor 1/3*k**2 - 4/3 + q*k.
(k - 2)*(k + 2)/3
Let j(w) = 2*w**3 - 7*w**2 + 6*w + 6. Let l be (-37 - -32)*4/(-5). Let u(p) = 6*p**3 - 21*p**2 + 19*p + 19. Let y(d) = l*u(d) - 14*j(d). Factor y(i).
-2*(i - 2)**2*(2*i + 1)
Suppose -5*p + 20 = 0, -2*l - 2*l - 5*p = -28. Suppose -j - 2*b = -2, l*j - 2*b = 4*j - 6. Factor 7 - v**2 - j + v - 3*v.
-(v - 1)*(v + 3)
Let k(r) = 18*r**3 - 3*r**2 + 35*r - 2. Let c be k(4). Let y = 11182/9 - c. Factor y*a**2 + 0 + 20/9*a.
4*a*(a + 5)/9
Let n = 427/240 - -1/48. Let k be (-1)/(-7) - (-198)/770. Solve -n*d**2 - 7/5*d**3 - k*d + 0 = 0 for d.
-1, -2/7, 0
Let d be (172/123410)/(16/5). Let r = 18371/6888 - d. Solve -r*h - 19/6*h**2 + 2/3 - 5/6*h**3 = 0.
-2, 1/5
Let s(a) = 2*a**2 + 123*a - 180. Let i be s(-64). Let d be 108/40 + (-7)/i*4. Factor 0 - 3/2*h**3 - d*h**2 - h.
-h*(h + 1)*(3*h + 2)/2
Let x(k) be the third derivative of -k**2 + 1/240*k**6 - 1/60*k**5 - 1/16*k**4 + 0*k**3 - 3*k + 0. Factor x(a).
a*(a - 3)*(a + 1)/2
Let x = -142292 + 142295. Factor 8/7*r**2 - 16/7*r - 2/7*r**4 + 0 + 4/7*r**x.
-2*r*(r - 2)**2*(r + 2)/7
Let g(r) be the third derivative of r**8/56 - 2*r**7/315 - 2*r**6/5 + 8*r**5/45 + 4*r**4 - 32*r**3/9 - 477*r**2. Let g(v) = 0. What is v?
-2, 2/9, 2
Suppose -945*o + 3236 = 1014*o - 682. Let 0*j + 0*j**4 + 2/7*j**5 + 24/7*j**o + 0 - 26/7*j**3 = 0. What is j?
-4, 0, 1, 3
Factor 28800 + 239*o**3 - 1400*o - 5873*o - 1299*o - 6308*o - 3506*o**2 - 10652*o**2 - o**4.
-(o - 120)**2*(o - 1)*(o + 2)
Suppose -64*p = -54*p - 90. Let k be (6/p)/((-68)/(-51)). Determine n so that -1/2*n**5 + 1/2 - 1/2*n - n**2 + n**3 + k*n**4 = 0.
-1, 1
Suppose -v + 6*h = 26, h - 25 = -2*v - 3*v. Let r(t) be the first derivative of -t**v - 72*t + 6*t**2 - 20 + 16/3*t**3. Factor r(w).
-4*(w - 3)**2*(w + 2)
Let -29150*q - 412*q**2 - 35544*q + 21849*q - q**3 - 84050 = 0. What is q?
-205, -2
Let x(g) be the second derivative of g**4/12 + 103*g**3/6 - 105*g**2 + 104*g. Determine u so that x(u) = 0.
-105, 2
Suppose 29*r + 140 = 43*r. Solve 436*c + 532*c**2 + 134*c**3 + r*c**4 + 47*c + 181 - 36*c + 105*c - 37 = 0 for c.
-6, -1, -2/5
Let x(u) be the second derivative of -3*u**5/140 + u**3/2 - 9*u**2/7 + 3060*u. Suppose x(i) = 0. Calculate i.
-3, 1, 2
Let y(t) be the second derivative of -t**5/50 - 254*t**4/15 - 65021*t**3/15 - 128018*t**2/5 - 6020*t. Factor y(p).
-2*(p + 2)*(p + 253)**2/5
Let w = -877120 + 877122. Solve -22/3*b - 2/3*b**w - 16 = 0 for b.
-8, -3
Determine t, given that -2*t**2 + 107038 - 160*t - 107363 + 47*t**2 = 0.
-13/9, 5
Suppose -467 = -283*i - 79 + 178. What is v in -2/5*v**i + 4/5*v + 0 = 0?
0, 2
Let c(r) be the second derivative of -r**7/525 - 11*r**6/300 - 4*r**5/25 + 3*r**4/5 - 2*r**2 + 2*r - 15. Let h(v) be the first derivative of c(v). Factor h(b).
-2*b*(b - 1)*(b + 6)**2/5
Let h be (-112)/(-490)*-5*14/(-4). Let t(k) be the first derivative of 375/2*k + 225/4*k**2 + 15/2*k**3 + 3/8*k**h + 5. Find q such that t(q) = 0.
-5
Let h(c) be the second derivative of -c**5/40 - 29*c**4/6 + 241*c**3/4 - 549*c**2/2 + 444*c - 9. Let h(b) = 0. What is b?
-122, 3
Find s, given that -94*s**3 - 19*s**4 - s**5 - 85*s**2 + s - s - 32*s**2 - 3*s**2 = 0.
-12, -5, -2, 0
Let t(u) = -u**2 + 57*u + 522. Let s be t(-8). Let m be (-2)/(-45) + (-4)/(-10). Factor -2/9*o - 2/9*o**s + m.
-2*(o - 1)*(o + 2)/9
Let d be ((-1)/(-2))/((-2)/(-20)). Suppose 0 = -2*s - 10, c + d*s = 5*c - 45. Let 407*g**2 - 417*g**2 - 4*g + c*g**3 + 9*g = 0. Calculate g.
0, 1
Let y(k) = 2*k**2 - 6*k - 18. Suppose -3*w = -7*w - 2*p + 2, -4*w = p - 7. Let m(d) = -3*d**2 + 13*d + 36. Let x(u) = w*m(u) + 5*y(u). Factor x(q).
(q + 3)*(q + 6)
Let v(j) be the third derivative of 0*j - 5/108*j**6 + 1/3*j**4 + 4/315*j**7 - 45*j**2 + 0 + 1/216*j**8 - 11/135*j**5 - 8/27*j**3. Let v(u) = 0. Calculate u.
-2, 2/7, 1
Let c(l) be the third derivative of l**8/3024 - l**7/90 + 19*l**6/135 - 7*l**5/9 + 4*l**4/3 + 67*l**2 + 3*l. Let c(q) = 0. Calculate q.
0, 1, 6, 8
Factor -2/5*r**2 + 252/5 + 2*r.
-2*(r - 14)*(r + 9)/5
Let t(q) be the first derivative of -2/5*q**5 + 18 + 0*q**3 + 1/3*q**4 + 0*q**2 + 18*q + 2/15*q**6. Let w(c) be the first derivative of t(c). Factor w(u).
4*u**2*(u - 1)**2
Let -99*u**3 + 25*u**3 + 1480 + 37*u**3 + 92*u**2 - 706*u + 35*u**3 = 0. Calculate u.
4, 5, 37
Determine y so that -105673*y**2 + 1745*y**4 - 72183 + 255360*y + 4240*y**3 - 111847*y**2 + 2210*y**3 + 45*y**5 + 26103 = 0.
-24, 2/9, 1, 8
Let m(b) be the third derivative of b**5/15 + 19*b**4 - 480*b**3 + b**2 - 8*b + 32. Find f such that m(f) = 0.
-120, 6
Let m(k) be the first derivative of -k**7/1995 + k**6/190 - k**2/2 - 145*k - 179. Let i(n) be the second derivativ