-8005. Let n(z) be the third derivative of -2/15*z**w + 0*z + 0*z**4 + 2/15*z**5 + z**2 + 0*z**3 - 1/21*z**7 + 0. Find m, given that n(m) = 0.
-2, 0, 2/5
Let d(z) = 10*z**2 + 12*z - 2. Let x be d(-4). Let a = x + -107. Solve -15*u**2 + 21*u - 48*u**a - 6 + 25*u - 13*u - 6*u**3 = 0.
-1, 2/9, 1/2
Let s be 4/10 + 88 + (-5908)/70. Factor -1/3*w**2 - 11/3 - s*w.
-(w + 1)*(w + 11)/3
Let h(r) = -94*r + 470. Let t be h(5). Let k(m) be the third derivative of -1/120*m**4 + 0*m + 35*m**2 + 0*m**5 + t*m**3 + 0 + 1/600*m**6. Factor k(g).
g*(g - 1)*(g + 1)/5
Let p(n) be the first derivative of -n**3/24 + 141*n**2/2 - 39762*n + 745. Factor p(q).
-(q - 564)**2/8
Let c(l) be the second derivative of -1/7*l**4 - 2/7*l**3 - 1/35*l**5 + 198*l + 0 - 2/7*l**2. Factor c(v).
-4*(v + 1)**3/7
Factor 158/9*x**2 - 608/9*x - 2/9*x**3 + 200/3.
-2*(x - 75)*(x - 2)**2/9
Let o = -5276 - -5284. Factor 5/4*w**3 + w + 1/4*w**4 + o - 6*w**2.
(w - 2)**2*(w + 1)*(w + 8)/4
Let k = -15 - -17. Find m, given that -109 - 2*m**k - 10*m + 7*m**2 + 114 = 0.
1
Let t be 1/(234/(-60) - -4). Factor -n - t + 21*n**2 + 71*n**2 - 24*n - 45*n**3 - 12*n**2.
-5*(n - 1)**2*(9*n + 2)
Let b(u) be the second derivative of -u**7/42 - 7*u**6/30 - 11*u**5/20 + 19*u**4/12 + 10*u**3 + 18*u**2 - 36*u + 22. Suppose b(x) = 0. What is x?
-3, -2, -1, 2
Let d(b) be the second derivative of -5*b**4/12 - 215*b**3/3 + 1880*b**2 + 4*b - 323. Factor d(f).
-5*(f - 8)*(f + 94)
Factor -3322*r - 98*r**3 - 18432 - 518*r + 2488*r**2 - 33*r**4 + 28*r**4 + 6*r**4.
(r - 48)**2*(r - 4)*(r + 2)
Let v(h) be the first derivative of -h**6/6 - h**5/4 + 5*h**4/12 + 5*h**3/6 - 89*h + 4. Let n(p) be the first derivative of v(p). Factor n(s).
-5*s*(s - 1)*(s + 1)**2
Determine s so that 179/4*s - 59/2*s**2 + 6*s**3 - 39/2 = 0.
3/4, 2, 13/6
Let m = -320 - -3572/11. Let a = m - 46/11. Solve 10/11*i**2 + a*i + 0 = 0.
-3/5, 0
Let s(r) be the third derivative of -r**5/80 + 45*r**4/32 - 175*r**3/4 + 61*r**2 - 4*r. Factor s(y).
-3*(y - 35)*(y - 10)/4
Let m be (-32)/(-12)*18447/52. Let p = -8510/9 + m. What is y in -22/9*y**2 - 14/9*y**3 + 2*y**4 + 14/9*y + p = 0?
-1, -2/9, 1
Let v(t) = -t**3 + 128*t**2 - 1067*t - 34. Let p be v(9). Find r such that 0 + 1/2*r**4 + 12*r**p - 11/2*r**3 + 18*r = 0.
-1, 0, 6
Let g = 131 - -9. Let o be 5/(-2)*(-84)/g. Factor 6*d**2 + o*d**3 - 3/2*d - 6.
3*(d - 1)*(d + 1)*(d + 4)/2
Let h(c) = c**3 - c**2 + 1. Let b = 540 + -544. Let d(z) = -z**3 + 122*z**2 + 4800*z + 63998. Let m(t) = b*h(t) - 2*d(t). Determine l, given that m(l) = 0.
-40
Let j(w) be the second derivative of -5*w**4 - 235*w**3/6 + 10*w**2 - 1166*w. Find d such that j(d) = 0.
-4, 1/12
Let a(t) be the first derivative of -t**5/80 - 5*t**4/24 - 17*t**3/24 - t**2 + 150*t + 138. Let g(j) be the first derivative of a(j). Let g(v) = 0. What is v?
-8, -1
Let n be (-377)/3016 - (0 + (-13)/8). Let f(i) be the first derivative of 14 - 1/2*i**5 - 7/4*i**2 + 1/12*i**6 + 1/3*i**3 + 3/4*i**4 + n*i. Solve f(g) = 0.
-1, 1, 3
Solve 4/9*j**4 - 56/9*j**2 - 128/9 + 64/3*j - 4/3*j**3 = 0 for j.
-4, 1, 2, 4
Let p be (-147)/28 + (-108)/(-18). Let t(j) be the first derivative of 3*j**3 + p*j**4 - 27/2*j**2 + 15*j + 7. Find l, given that t(l) = 0.
-5, 1
Let t(z) = -6*z**2 + 622*z - 2602. Let k(f) = 4*f**2 - 620*f + 2584. Let y(i) = 5*k(i) + 4*t(i). Factor y(v).
-4*(v - 4)*(v + 157)
Let a(c) be the third derivative of c**6/360 - 7*c**5/90 + 43*c**4/72 - 5*c**3/3 + 4161*c**2. Determine k, given that a(k) = 0.
1, 3, 10
Solve -137*p**4 + 617*p**4 + 58*p**3 - 508*p**2 - 25*p**5 - 877 - 249*p + 368*p**3 + 1057 = 0.
-1, 3/5, 20
Let -12/7*t**4 + 240/7*t**3 + 1485/7*t + 1089/7*t**2 + 648/7 = 0. What is t?
-3/2, -1, 24
Let g be 8 - (6 + (-48)/6 - -7). Suppose 4 = -j + 2*j. Factor 45*v**2 - v - j*v**3 + v**g - 41*v**2.
-v*(v - 1)*(3*v - 1)
Let r(v) be the third derivative of -7*v**5/330 + 1997*v**4/132 - 190*v**3/11 + 2*v**2 + 273*v. Find u, given that r(u) = 0.
2/7, 285
Let s = -1/1540 - -58/385. Let v(i) be the second derivative of -19*i - 1/2*i**3 + s*i**5 + 0*i**2 + 0 + 0*i**4. Factor v(j).
3*j*(j - 1)*(j + 1)
Let d = 33 + -30. Suppose d*w - 27 = 27. Suppose 35*v**3 + 100*v - 3*v**4 - 90*v**2 - v**4 - v**4 - 22 - w = 0. Calculate v.
1, 2
Let t(s) be the second derivative of -3*s**6/70 - s**5/5 - s**4/4 - s**3/21 - s + 318. Factor t(n).
-n*(n + 1)*(n + 2)*(9*n + 1)/7
Let n(s) = 3*s**3 + 133*s**2 + 785*s + 1167. Let d(v) = 10*v**3 + 398*v**2 + 2356*v + 3504. Let y(w) = 2*d(w) - 7*n(w). Factor y(u).
-(u + 3)**2*(u + 129)
Let y be 4/(-112)*((-9)/(-30) - 1). Let c = y + 63/40. Suppose -2/5*k**3 - 8/5*k**2 - c*k + 0 = 0. What is k?
-2, 0
Suppose 0*i = 3*i - 384. Let n be ((-37)/(-2))/(224/i). Find l, given that -n*l**2 - 6*l**3 - 8/7 - 8/7*l**4 - 48/7*l = 0.
-2, -1, -1/4
Find o such that -345/2*o - 3/2*o**3 - 57/2*o**2 - 675/2 = 0.
-9, -5
Let q(h) be the third derivative of h**7/105 + h**6/60 - 2*h**5/15 - h**4/3 - 232*h**2 + 3*h. Suppose q(j) = 0. Calculate j.
-2, -1, 0, 2
Let v(p) be the first derivative of -p**3 - 414*p**2 - 57132*p - 981. Determine r so that v(r) = 0.
-138
Suppose -5*v + 4 = -i - 8*v, 4*v = -12. Let -i*n - 7*n**2 + 3 - 5*n**2 + 2*n**2 + 2 = 0. What is n?
-1, 1/2
Let n(z) be the first derivative of -121*z**6/2520 + 11*z**5/210 - z**4/42 - 152*z**3/3 + 19. Let m(i) be the third derivative of n(i). Factor m(p).
-(11*p - 2)**2/7
Let s(m) be the third derivative of m**6/480 + 29*m**5/20 + 2523*m**4/8 - 3653*m**2. Factor s(b).
b*(b + 174)**2/4
Let n be (-6)/21 - (183726/756)/(-59). Solve -5/2*b**2 + n*b**3 - 23/6*b + 5/3 + 5/6*b**4 = 0.
-5, -1, 2/5, 1
Let k(z) be the third derivative of -3*z**2 - 7/72*z**6 - 35/36*z**4 + 0*z - 12 - 1/105*z**7 + 19/36*z**5 + 8/9*z**3. Suppose k(c) = 0. Calculate c.
-8, 1/2, 2/3, 1
Let y(r) be the third derivative of r**6/320 + r**5/40 - 45*r**4/64 + 132*r**2 + 2*r. What is b in y(b) = 0?
-9, 0, 5
Suppose 3*h + 2 = -y + 12, -2 = -3*h - 5*y. Solve -3*q + 8*q**3 - 5*q**3 - h + 0*q - 9*q**2 + 13 = 0.
-1, 1, 3
Let v(r) be the second derivative of 1/30*r**5 + 0*r**3 + r**4 - 37/2*r**2 + 0 - 27*r. Let u(h) be the first derivative of v(h). Factor u(q).
2*q*(q + 12)
Let j = -6565870/11 + 596898. Factor 0*w + 0 - 2/11*w**3 - 6/11*w**2 + j*w**4.
2*w**2*(w - 1)*(4*w + 3)/11
Let s(g) = -g**5 + 4*g**4 + 2*g**3 - 14*g**2 + 7*g - 2. Let t(c) = 2*c**5 - 9*c**4 - 4*c**3 + 31*c**2 - 14*c + 4. Let j(a) = -10*s(a) - 4*t(a). Factor j(x).
2*(x - 1)**4*(x + 2)
Let a(n) = 72*n**2 + 129*n + 57. Let u(h) = 7*h**2 + 13*h + 6. Suppose 520 = -37*x - 257. Let q(c) = x*u(c) + 2*a(c). Find t, given that q(t) = 0.
-4, -1
Let v(t) be the third derivative of -t**5/60 - t**4/24 - 2*t**3/3 - 286*t**2. Let m(l) = -35*l**2 + 15*l + 60. Let g(i) = m(i) - 30*v(i). Factor g(w).
-5*(w - 12)*(w + 3)
Suppose 2*u = 4*x - 62, 5*u = 2*x - 33 - 2. Suppose 14 = 7*i - 0. Factor -10 + 4*w**2 + x*w - i*w**2 - 6*w**2 - w**2.
-5*(w - 2)*(w - 1)
Let x(o) = -7*o**4 - 6*o**3 - 2*o**2 - 3*o - 3. Let q = 204 + -203. Let y(g) = g**4 + g**3 + g**2 + g + 1. Let i(t) = q*x(t) + 3*y(t). Solve i(r) = 0.
-1, 0, 1/4
Suppose -18*u + 14*u + 12 = 0. Suppose w - 10 = -3*k, 21*k - 25*k - u*w = -20. Factor 2/3*f**3 - k*f + 4/3*f**2 + 0.
2*f*(f - 1)*(f + 3)/3
Suppose 464*h = -401*h - 227*h + 2184. Factor 3/5*b**3 - 3/5*b + 33/5*b**h - 33/5.
3*(b - 1)*(b + 1)*(b + 11)/5
Let b(k) = -13*k - 1696. Let j be b(-131). Let r(w) be the second derivative of 0*w**2 - j*w - 1/12*w**4 + 2 - 1/18*w**3. Factor r(g).
-g*(3*g + 1)/3
Let w(v) be the third derivative of -v**6/60 - 89*v**5/30 + 91*v**4/6 + 713*v**2. Suppose w(q) = 0. Calculate q.
-91, 0, 2
Determine q, given that 0*q - 104/5*q**4 - 67/5*q**3 + 0 - 3/5*q**5 + 34/5*q**2 = 0.
-34, -1, 0, 1/3
Let -143*z + 240*z**2 - 23*z**3 + 404 - 599 - 532*z + 445 = 0. Calculate z.
10/23, 5
Factor 0 + 1/2*h**2 + 3/10*h - 1/10*h**4 + 1/10*h**3.
-h*(h - 3)*(h + 1)**2/10
Find t, given that 2*t**3 - 151*t**2 - 150*t**2 - 6*t**4 - 150*t**2 + 605*t**2 - 2*t**5 - 148*t**2 = 0.
-3, -1, 0, 1
Suppose 3 = p + 5*o, 14*p + 12 = 18*p + 2*o. Let m(d) be the first derivative of -26 - 3/2*d**2 + 9/7*d - 3/28*d**4 + 5/7*d**p. Suppose m(y) = 0. Calculate y.
1, 3
Solve 1792*s - 3*s**2 - 34048 - 537488 - 64*s - 216*s + 2*s**2 = 0 for s.
756
Let k be (-1167)/778*((-120)/9)/(14/10). Suppose 16/7 + 244/7*t*