 be the first derivative of 35*n**4/4 - 190*n**3 + 685*n**2/2 - 150*n + 128. Factor u(v).
5*(v - 15)*(v - 1)*(7*v - 2)
Factor 60*t - 75/2*t**2 - 24.
-3*(5*t - 4)**2/2
Let n(h) be the first derivative of -5*h**6/27 + 32*h**5/45 + 7*h**4/3 + 32*h**3/27 - 5*h**2/9 + 128. Find s, given that n(s) = 0.
-1, 0, 1/5, 5
Factor 16/5*s**3 + 81/5 - 144/5*s + 1/5*s**4 + 46/5*s**2.
(s - 1)**2*(s + 9)**2/5
Let g(j) be the third derivative of 5*j**8/448 + 19*j**7/140 + 9*j**6/160 - j**5 + 7*j**4/8 + 720*j**2. Solve g(s) = 0.
-7, -2, 0, 2/5, 1
Let k(u) be the second derivative of -u**5/70 - 24*u**4/7 - 1775*u**3/7 - 10082*u**2/7 - 171*u. Factor k(y).
-2*(y + 2)*(y + 71)**2/7
Let h(c) = 13*c**4 + 24*c**3 + c**2 + 7*c + 11. Let s(u) = u**4 + 3*u**3 - u**2 + u + 1. Let y(v) = 3*h(v) - 33*s(v). Factor y(i).
3*i*(i - 2)**2*(2*i - 1)
Let f(j) be the first derivative of -5*j**4/4 + 85*j**3/3 + 185*j**2/2 + 95*j - 128. What is k in f(k) = 0?
-1, 19
Suppose -3*v - 10 - 13 = -4*w, 4*w + 5*v = -17. Suppose 2*b + 2*s = 4, 0 = -3*b - s + 11 + 3. Determine y, given that -3*y**5 + 3*y - b*y + 8*y**3 - w*y**3 = 0.
-1, 0, 1
Let d(o) be the second derivative of -o**5/210 + o**4/84 + 2*o**3/7 - 33*o**2/2 - 31*o. Let a(v) be the first derivative of d(v). Determine q so that a(q) = 0.
-2, 3
Determine n, given that 74*n**2 + n + 0*n - 12*n**3 - 11*n**2 - 2*n - 45 - 5*n = 0.
-3/4, 1, 5
Let n be ((-12)/(-35))/(1260/4200). Find x such that -2*x**4 + n*x + 30/7*x**3 - 26/7*x**2 + 2/7*x**5 + 0 = 0.
0, 1, 4
Let n(p) be the second derivative of -4/21*p**3 + 4/7*p**2 - 5/6*p**4 + 0 - 8*p. Suppose n(k) = 0. What is k?
-2/5, 2/7
Let r(c) be the third derivative of -c**5/90 + 7*c**4/36 + 10*c**3/3 + 45*c**2 + 3*c. Factor r(a).
-2*(a - 10)*(a + 3)/3
Let a be -2 - ((-82)/26 - -1). Let z be (3/(351/(-6)))/(14/(-84)). Solve 2/13*w + 0 + z*w**2 + a*w**3 = 0.
-1, 0
Let a(d) be the third derivative of 0*d**3 + 1/72*d**4 - 1/315*d**7 + 12*d**2 + 0*d - 1/1008*d**8 + 1/90*d**5 + 0 + 0*d**6. Find y, given that a(y) = 0.
-1, 0, 1
Suppose -2*q - 60 = p - 3, -2*q + 2*p - 66 = 0. Let v be (12/(-5))/(24/q). Factor 5/3*d - 1/3 - 8/3*d**2 + 4/3*d**v.
(d - 1)*(2*d - 1)**2/3
Solve -20*x**3 + 9*x**2 - 13*x**2 - 4*x**4 - 12*x - 7*x**2 - 17*x**2 = 0.
-3, -1, 0
Let r(k) = -k**3 - 12*k**2 - 12*k - 9. Let x be r(-11). Factor -23*a**x + 23*a**2 - 2*a**4 - 2*a**3.
-2*a**3*(a + 1)
Let z(l) be the second derivative of l**7/294 - 2*l**6/105 - 9*l**5/70 - 5*l**4/21 - l**3/6 - 61*l. Solve z(g) = 0 for g.
-1, 0, 7
Let u be 2*(1 + -2 - 3). Let o = 41/5 + u. Factor -4/5*v**3 + 0 + o*v + 3/5*v**2.
-v*(v - 1)*(4*v + 1)/5
Suppose -8 = -2*a - 2. Suppose a = 4*q + 5*d - 29, -5*q = d - 19. Factor 3*j**q - 5*j + j**5 - 2*j - 4*j**4 + 4*j**2 + 3*j.
j*(j - 2)**2*(j - 1)*(j + 1)
Let n(t) be the first derivative of 26 + 2/5*t - 1/10*t**2 + 1/20*t**4 - 2/15*t**3. Suppose n(w) = 0. Calculate w.
-1, 1, 2
Let u(j) = 9*j**5 - 5*j**4 - 3*j**3 + 3. Let y(t) = -35*t**5 + 19*t**4 + 11*t**3 - 11. Let l = 73 + -51. Let c(b) = l*u(b) + 6*y(b). Factor c(r).
-4*r**4*(3*r - 1)
Let o(a) be the third derivative of a**6/24 + 7*a**5/12 + 10*a**4/3 + 10*a**3 + 21*a**2. Find w such that o(w) = 0.
-3, -2
Let c(p) be the first derivative of 5*p**4/4 - 25*p**3/3 - 5*p**2/2 + 25*p + 282. Factor c(v).
5*(v - 5)*(v - 1)*(v + 1)
Let c be 9 + -5 + 0/1. Suppose -c*m = -2*m - 6. Let -1 + m*x**2 - 2 + 0*x**2 + 0 = 0. What is x?
-1, 1
Let c = 14/13 + -100/117. Let t(v) be the first derivative of -1 + c*v + 2/27*v**3 + 2/9*v**2. Suppose t(w) = 0. What is w?
-1
Suppose -367 = 9*j - 1042. Let t be 19/(-15) + 125/j. Determine h so that 4/5*h**2 - t*h - 4/5 + 2/5*h**3 = 0.
-2, -1, 1
Let u(k) = k**4 + 2*k**3 - 1. Let d(s) = 41*s**4 + 372*s**3 + 100*s**2 - 6. Let t(b) = -d(b) + 6*u(b). Suppose t(z) = 0. What is z?
-10, -2/7, 0
Let p(f) = -4*f**2 + 16*f + 38. Let b(d) = 3*d**2 + 9 - 24 - 16*d - 22. Let z(q) = 6*b(q) + 5*p(q). Solve z(y) = 0.
-4
Let s(c) be the third derivative of -7*c**6/60 - 37*c**5/30 - 71*c**4/84 - 5*c**3/21 + 510*c**2. Find v, given that s(v) = 0.
-5, -1/7
Let h(s) be the second derivative of 0 + 11*s - 1/252*s**7 + 0*s**3 - 3/40*s**5 + 0*s**2 - 1/30*s**6 - 1/18*s**4. Factor h(v).
-v**2*(v + 1)**2*(v + 4)/6
Let z = 1864 + -1862. Determine d so that 3/2 + 1/2*d**z - 2*d = 0.
1, 3
Factor 2751*p**2 - 200*p - 2756*p**2 + 640*p - 9680.
-5*(p - 44)**2
Suppose 11/2*o**2 - 6 - o - 1/4*o**5 - 1/2*o**4 + 9/4*o**3 = 0. Calculate o.
-2, 1, 3
Suppose 3*k - 1 = 4*a - 3*a, 3*k - 67 = -5*a. Suppose -4*i + 5 + a = 0. Factor 1/3*x**5 + 0*x**2 - 2/3*x**3 + 0*x + 0 - 1/3*x**i.
x**3*(x - 2)*(x + 1)/3
Suppose 4*z = 2*c - 4, -5*c + 5*z = 3 - 13. Factor 67 - 139 - 2*f**2 + 2*f**3 + 74 - c*f.
2*(f - 1)**2*(f + 1)
Factor -14*u - 9 - 3/4*u**2 + 1/4*u**4 + 9/2*u**3.
(u - 2)*(u + 1)**2*(u + 18)/4
Let i be -1 - (4 + -3 - -4). Let u be (1 - 1)/(i - (5 + -13)). Suppose -4/5*m**2 + u - 2/5*m**3 - 2/5*m = 0. Calculate m.
-1, 0
Let u(w) = -8*w**3 + 82*w**2 - 716*w - 6. Let f(v) = 17*v**3 - 165*v**2 + 1431*v + 13. Let t(h) = 6*f(h) + 13*u(h). Solve t(k) = 0 for k.
0, 19
Suppose -180*d + 59*d**4 - 3645 + 2250*d**2 + 56*d**4 + 198*d + 5*d**5 + 387*d + 870*d**3 = 0. What is d?
-9, -3, 1
Let z(w) be the third derivative of w**7/70 - w**6/10 + 2*w**4 - 8*w**3 + w**2 - 13*w. Suppose z(a) = 0. What is a?
-2, 2
Suppose -7396/3 + 172*c - 3*c**2 = 0. Calculate c.
86/3
Let c(n) be the first derivative of -4*n**3/9 + 14*n**2/3 - 16*n - 360. Factor c(j).
-4*(j - 4)*(j - 3)/3
Let z(h) be the first derivative of -h**3/5 - 24*h**2/5 - 173. Factor z(r).
-3*r*(r + 16)/5
Suppose 0 = t + 5*p + 8, 2*t - 4*p - 1 = 11. Factor -13*k + 5*k - 4 - 2 - 7*k - 9*k**t.
-3*(k + 1)*(3*k + 2)
Factor 5/8*g - 1/2 - 1/8*g**2.
-(g - 4)*(g - 1)/8
Let j(g) be the third derivative of -g**7/45 - 37*g**6/180 - 19*g**5/45 - 2*g**4/9 + g**2 - 22*g. Determine v so that j(v) = 0.
-4, -1, -2/7, 0
Let q(h) be the third derivative of h**6/2340 - 2*h**5/195 + 4*h**4/39 - 2*h**3/3 - 6*h**2. Let v(d) be the first derivative of q(d). Find i such that v(i) = 0.
4
Suppose -8 = -2*j + 2*h, -411*j + 412*j = 5*h. Factor -21/4*y**4 + 75/4 - 3/4*y**j + 3/2*y**3 + 69/2*y**2 - 195/4*y.
-3*(y - 1)**3*(y + 5)**2/4
Let h(x) be the second derivative of -x**4/3 + 6*x**3 - 28*x**2 - 38*x - 1. Factor h(d).
-4*(d - 7)*(d - 2)
Suppose -v = -57 + 52. Let u(l) be the third derivative of -1/30*l**v - 2/15*l**4 + 4/15*l**3 + 0*l + 0 + 5*l**2. Suppose u(i) = 0. Calculate i.
-2, 2/5
Let u(d) be the first derivative of 5*d**3/3 - 105*d**2/2 + 340*d + 180. Factor u(m).
5*(m - 17)*(m - 4)
Let i(h) be the second derivative of h**6/10 + 3*h**5/4 - h**4/4 - 17*h**3/2 + 18*h**2 - 271*h. Factor i(t).
3*(t - 1)**2*(t + 3)*(t + 4)
Let v(b) = 6*b**2 + 3*b + 7. Let c be v(-3). Factor 72 + 140*s + c*s**2 + 9*s**3 - 268 - 5*s**3.
4*(s - 1)*(s + 7)**2
Let w(f) = 5*f + 43. Let s be w(-8). Suppose 0*o = -s*o - o. What is i in 3/4*i**3 + 0 + o*i + 3/4*i**2 = 0?
-1, 0
Let v(y) be the third derivative of -y**9/75600 + 3*y**5/20 + 9*y**2. Let u(k) be the third derivative of v(k). Find j, given that u(j) = 0.
0
Let p(z) be the first derivative of -8*z**3/3 + 10*z**2 - 12*z - 1. Let s(c) = -15*c**2 + 40*c - 25. Let y(r) = 5*p(r) - 3*s(r). Find m, given that y(m) = 0.
1, 3
Let v be (-3)/9*(-210)/5. Suppose v = 2*s + 2. Factor 13 - 2*c**3 + 0*c**3 - 5 + s*c**2 + 12*c + 3*c**3.
(c + 2)**3
Let c(g) = -2*g**3 + 19*g**2 - 27*g + 24. Let j be c(8). Find v such that -1/4*v + j - 1/4*v**2 = 0.
-1, 0
Let w(q) = -2*q**2 + 82*q - 778. Let n be w(26). Suppose -4/5*z + 6/5*z**n - 2/5 = 0. What is z?
-1/3, 1
Let s be (2 + -1)/((-13)/(-143)). Let r be (1 + s)*-1*2/(-20). Factor r*d**4 + 0*d + 0 + 0*d**2 + 4/5*d**3 + 2/5*d**5.
2*d**3*(d + 1)*(d + 2)/5
Let i(v) be the first derivative of v**3 - 24*v**2 - 51*v - 1. Suppose i(o) = 0. Calculate o.
-1, 17
Let b(t) be the third derivative of 1/120*t**4 + 12*t**2 + 1/300*t**5 + 0*t**3 + 0 + 0*t. Find n, given that b(n) = 0.
-1, 0
Let x(d) be the second derivative of 4/3*d**3 + 5/12*d**4 + 2*d**2 - 45*d + 1/20*d**5 + 0. What is k in x(k) = 0?
-2, -1
Let -2/3*m**3 - 2/3*m**2 + 8/3 + 8/3*m = 0. What is m?
-2, -1, 2
Let k(t) be the third derivative of -t**7/6720 - t**6/1920 - 11*t**4/24 + t**2. Let i(x) be the second derivative of k(x). Factor i(v).
-3*v*(v + 1)/8
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