8 - 13*y**6/10 - 81*y**5/20 - 7*y**4 - 29*y**3/4 - 9*y**2/2 - 1016*y. Factor v(s).
-3*(s + 1)**4*(5*s + 6)/2
Let i(m) be the second derivative of m**6/30 - 119*m**5/20 + 309*m**4 - 4814*m**3/3 - 6728*m**2 + 540*m + 4. Factor i(c).
(c - 58)**2*(c - 4)*(c + 1)
Let f(m) be the third derivative of -m**5/510 + 14*m**4/51 + 80*m**3/17 + 1620*m**2. Solve f(s) = 0 for s.
-4, 60
Let w(c) be the first derivative of -160*c**2 + 112 + 70/3*c**3 - 5/4*c**4 + 480*c. Let w(a) = 0. What is a?
4, 6
Let l = 594593/14 + -113565311/2674. Let d = l - 3/191. Factor d*m - 1/7*m**3 + 4/7*m**2 + 0.
-m*(m - 5)*(m + 1)/7
Let n(r) be the second derivative of 41*r + 0 + 2/75*r**5 - 1/12*r**4 - 1/300*r**6 + 2/15*r**3 + 11*r**2. Let g(o) be the first derivative of n(o). Factor g(k).
-2*(k - 2)*(k - 1)**2/5
Determine a so that 28/5*a**3 + 0 + 2/5*a**4 + 102/5*a**2 + 108/5*a = 0.
-9, -3, -2, 0
Let s(j) be the first derivative of 0*j + 0*j**3 + 18 - 5*j**2 - 1/12*j**4 - 1/24*j**6 + 7/60*j**5. Let f(c) be the second derivative of s(c). Solve f(r) = 0.
0, 2/5, 1
Let p be 13 - (14 + 63/(-9)). Let d be 5/(-180)*-9*p. Factor -1/4*t + 1/4*t**2 - d.
(t - 3)*(t + 2)/4
Suppose 2293 = -75*r + 2518. Let i(a) be the first derivative of -2/7*a**2 - 1/3*a**r - 1/14*a**4 + 1/35*a**5 - 2 + 0*a. Factor i(p).
p*(p - 4)*(p + 1)**2/7
Let t = 199/42 - 1/14. Let s = -692547 + 692549. Let 4*o + 2/3*o**s - t = 0. What is o?
-7, 1
Factor 99/4*m**2 - 3675/2 - 3/8*m**3 - 2835/8*m.
-3*(m - 35)**2*(m + 4)/8
Suppose 0 = -31*j - 233 - 108. Let n be (-21691)/(-5559) - j/(-3). Suppose -38/17*f**2 - n - 42/17*f = 0. Calculate f.
-1, -2/19
Let r(b) = b**3 + 2*b**2 + 2*b - 4. Let x(m) = 5*m**3 + 25*m**2 + 7*m - 8. Let d(n) = -r(n) - x(n). Let d(a) = 0. What is a?
-4, -1, 1/2
Let v be 18*((-5)/3)/(-5). Let p = -166 - -180. Factor p*h**3 + 10 + v*h - 9*h**3 - 21*h.
5*(h - 1)**2*(h + 2)
Determine p, given that 20/9*p + 10/9*p**4 + 2/9*p**5 + 0 - 2/3*p**3 - 26/9*p**2 = 0.
-5, -2, 0, 1
Let g be (-5356)/103 + 59 - (0 + -9). Suppose 52/3*w - 4/3*w**2 - g = 0. Calculate w.
1, 12
Let s(f) be the first derivative of -3*f**4/28 + 3*f**3 - 249*f**2/14 - 45*f - 2215. Factor s(u).
-3*(u - 15)*(u - 7)*(u + 1)/7
Let b(q) = -q**3 + 2*q**2 - 2*q - 1. Let o(z) = 4*z**3 - 104*z**2 + 50*z + 38. Let i(f) = 6*b(f) - o(f). Factor i(m).
-2*(m - 11)*(m - 1)*(5*m + 2)
Find p such that 14241*p**4 - 2*p**5 + 4*p**3 - 14253*p**4 + 28*p**2 + 14*p**3 = 0.
-7, -1, 0, 2
Let -686*f**5 - 5*f**4 + 6*f**2 + 9*f - 29*f + 22*f**3 - f**4 + 684*f**5 = 0. Calculate f.
-5, -1, 0, 1, 2
Let j = -2789 + 878. Let r = j - -9558/5. Determine w, given that 21/5*w + r*w**2 - 24/5 = 0.
-8, 1
Suppose 2*t - 2*j = -4, j - 15 = -2*j. Suppose 3 = 4*w - l, 0*l + 5*l = -t*w - 15. Find k, given that 2/3*k**2 + w - 2*k**4 + 0*k + 4/3*k**3 = 0.
-1/3, 0, 1
Let i = 22 - 21. Let b be (17*(0 - i))/(-1). Factor k**2 + 4*k**5 - b*k**2 - 20*k**4 + 1087*k**3 - 1055*k**3.
4*k**2*(k - 2)**2*(k - 1)
Let b be -26*(-4)/(-56) - -3. Suppose 75848*q = 75879*q. Factor 2/7*n**2 + q*n - b.
2*(n - 2)*(n + 2)/7
Let v = 5983 - 5980. Let q(n) be the first derivative of -28/9*n**2 - 392/9*n - 2/27*n**v - 3. Factor q(u).
-2*(u + 14)**2/9
Determine v, given that -99 - 307 + 11107*v**2 - 407*v - 11108*v**2 = 0.
-406, -1
Let q(s) = 3*s - 29. Let x be q(15). Suppose -5*v = -x - 24. Suppose -6*k - 10*k - v*k - 3*k**2 = 0. Calculate k.
-8, 0
Let x be (-32)/(-168)*63369 + (-4)/14. Factor -8*o**4 + 12090*o**3 - x*o**3 - 5*o**5 - 7*o**4.
-5*o**3*(o - 1)*(o + 4)
Let g(q) be the first derivative of 5*q**9/3024 + 11*q**8/168 - 23*q**7/168 + 343*q**3/3 - 347. Let u(b) be the third derivative of g(b). Solve u(x) = 0.
-23, 0, 1
Let v(x) be the second derivative of x**7/70 - 3*x**6/20 + 3*x**5/5 - x**4 + 83*x**2 + 50*x. Let g(s) be the first derivative of v(s). Factor g(t).
3*t*(t - 2)**3
Let f(o) be the second derivative of -5*o**4/12 + 1305*o**3 - 3065445*o**2/2 + 1833*o. Suppose f(m) = 0. Calculate m.
783
Suppose 3*w = 5*n + 661 - 580, 28 = -w - 2*n. Solve -7/4*a**w + 1/4*a**4 + 0 + 0*a**3 + 3/2*a = 0.
-3, 0, 1, 2
Suppose 2025 - 585 = -6*f. Let h = -236 - f. Factor 0 + 0*k + 3/2*k**2 - 3*k**h - 21/4*k**3.
-3*k**2*(k + 2)*(4*k - 1)/4
Let d(f) = -f**3 - 8*f**2 + 11*f + 21. Let o be d(-9). Factor -88 + 4*u**2 - o*u + 41*u - 11*u + 9*u.
4*(u - 2)*(u + 11)
Let h(k) be the third derivative of k**8/53760 - k**6/5760 - 5*k**4/2 - 12*k**2. Let v(d) be the second derivative of h(d). What is o in v(o) = 0?
-1, 0, 1
Factor -3362/13*c + 164/13*c**2 - 2/13*c**3 + 0.
-2*c*(c - 41)**2/13
Let 8/5*x**4 + 192/5*x**2 - 128/15 + 32*x + 18/5*x**5 - 656/15*x**3 = 0. What is x?
-4, -2/3, 2/9, 2
Let b(f) = -f - 6. Let o(m) = -1. Let h(d) = b(d) - 5*o(d). Let y(i) = -2*i**2 - 12*i + 70. Let n(k) = -4*h(k) + 2*y(k). Factor n(p).
-4*(p - 4)*(p + 9)
Factor -10/23*t**3 + 0 - 210/23*t + 356/23*t**2.
-2*t*(t - 35)*(5*t - 3)/23
Let q(z) = z**4 - 4*z**3 - z**2 - 2*z. Let k be (-12)/(-30)*10 - -2. Let w(f) = -2*f**4 + 7*f**3 + 2*f**2 + 4*f. Let o(n) = k*w(n) + 11*q(n). Factor o(a).
-a*(a - 1)*(a + 1)*(a + 2)
Let s(m) = -m**2 - 27*m + 346. Let o be s(-37). Let l be (-10)/(-18) - (-3)/(324/o). Let -l*w**4 - 5/3*w**3 - 2/3 - 3*w**2 - 7/3*w = 0. What is w?
-2, -1
Let l(z) be the third derivative of -z**7/630 - z**6/360 + 23*z**5/180 - 13*z**4/24 + z**3 + 1642*z**2. Factor l(m).
-(m - 3)*(m - 1)**2*(m + 6)/3
Let h = 131 + -56. Let o = 59 - 48. Let g**2 - 20*g**4 + 50*g**4 + h*g**4 + o*g**2 + 72*g**3 = 0. What is g?
-2/5, -2/7, 0
Let s(m) be the first derivative of -4*m**3/21 - 580*m**2/7 + 3516*m/7 + 12280. Factor s(f).
-4*(f - 3)*(f + 293)/7
Suppose 20 = -4*c + 8*c + c. Let j(f) be the second derivative of 0*f**3 + 0*f**2 + 1/30*f**c - 2/75*f**6 + 7/100*f**5 + 0 + 13*f. Suppose j(m) = 0. What is m?
-1/4, 0, 2
Let t(l) be the second derivative of 13*l + 2*l**2 - 1/40*l**5 + 5/3*l**3 - 1/84*l**7 - 2 - 1/15*l**6 + 7/12*l**4. Solve t(m) = 0.
-2, -1, 2
Factor 470 - 230/3*c**2 + 5/3*c**3 - 265/3*c.
5*(c - 47)*(c - 2)*(c + 3)/3
Let n be 5*(-3 - -2*(-2 + 4)). Suppose -n*x + 221 - 16 = 0. Factor -3*r + x*r + 8*r**2 - 2*r + 16.
4*(r + 4)*(2*r + 1)
Let j(y) be the third derivative of 0*y**6 - 1/105*y**7 + 1/336*y**8 + 0*y + 0*y**3 - 1/24*y**4 + 28*y**2 + 0 + 1/30*y**5. Factor j(k).
k*(k - 1)**3*(k + 1)
Let i(j) be the second derivative of 1/20*j**5 - 1/3*j**4 - 2 - 7*j - j**2 + 5/6*j**3. Factor i(t).
(t - 2)*(t - 1)**2
Suppose -5*w + 145 = 4*f + f, 0 = 2*f + 3*w - 62. Let -54 - 11*j**2 - 66*j + 21*j - f*j**2 - 3*j**3 + j - 43*j = 0. Calculate j.
-9, -2, -1
Suppose 0 = 9*h - 37*h + 140. Determine x so that 22*x**3 - 15*x**3 - 65*x**2 - 51*x**3 - h*x**4 + 114*x**3 = 0.
0, 1, 13
Let w(h) be the third derivative of -h**8/336 + 4*h**7/35 - 17*h**6/20 + 34*h**5/15 - 19*h**4/8 - 81*h**2 + 1. What is n in w(n) = 0?
0, 1, 3, 19
Let s = -1250 + 820. Let x = s - -432. Suppose -8/9*c - 2/9*c**4 - 2/9 - 4/3*c**x - 8/9*c**3 = 0. What is c?
-1
Let b(d) be the second derivative of -2 + 1/60*d**6 + 1/48*d**4 + 21*d - 1/16*d**5 + 5/24*d**3 - 3/8*d**2. Determine z, given that b(z) = 0.
-1, 1, 3/2
Find i such that -2/3*i**3 + 34*i**2 - 578*i + 9826/3 = 0.
17
Let y(m) be the first derivative of -3*m**5/130 - 4*m**4/39 - 5*m**3/39 + 103*m + 112. Let i(u) be the first derivative of y(u). Let i(d) = 0. What is d?
-5/3, -1, 0
Suppose 3*r - 5 = -i, -r - 5*i = -0*r + 3. Find j, given that -20*j - 29*j**3 - 3*j**2 - 6*j**2 - 5*j**r + 46*j**3 - 19*j**3 = 0.
-5, -2, 0
Let x(f) = f**3 + 19*f**2 + 70*f - 18. Let q(y) = y**3 + 20*y**2 + 70*y - 27. Let o(z) = -2*q(z) + 3*x(z). Factor o(k).
k*(k + 7)*(k + 10)
Let p(l) = 28*l**2 - 42*l - 92. Let y(j) = 41*j**2 - 78*j**2 + 13 + 33*j**2 + 6*j. Let u(h) = 6*p(h) + 44*y(h). What is d in u(d) = 0?
-1, 5/2
Suppose -3*v + h - 18 = -6, 4*v = -2*h - 6. Let p be (-589)/(-209) + v + (-48)/(-22). Factor 18*n + 4 + 15/2*n**3 + 23*n**p.
(n + 2)*(3*n + 2)*(5*n + 2)/2
Let y(t) be the second derivative of t**5/30 - 4*t**4/3 + 3166*t - 1. Determine a, given that y(a) = 0.
0, 24
Let p be ((247/(-285))/(1/6))/(-14 + (-576)/(-45)). Let 25/6*q**4 + p*q**3 - 2/3*q**5 - 16/3*q**2 + 7/6 - 11/3*q = 0. Calculate q.
-1, 1/4, 1, 7
Let d(b) be the second derivative of 11*b - 5/12*b**4 - 35/3*b**3 - 245/2*b**2 + 1. Factor d(s).
-5*(s + 7)**2
Let k(y) = 6*y + 60. Let o be