5. Let w(z) = -p(z) + 25*q(z). Factor w(n).
5*(n - 17)*(n - 2)*(n + 2)
Let q be (-1)/3*3423/140. Let v = -37/5 - q. Find o, given that -3/4*o**4 + 15/4*o - v*o**3 + 9/4*o**2 + 3/2 = 0.
-1, 2
Suppose 182*y - 176*y + 96 = 0. Let h be y/(1280/(-30)) - 0. Factor 0 - 1/8*g**4 + 1/8*g**2 - 3/8*g + h*g**3.
-g*(g - 3)*(g - 1)*(g + 1)/8
Let c(m) be the first derivative of m**3/6 + 203*m**2 + 82418*m + 3914. What is g in c(g) = 0?
-406
Let y(p) be the third derivative of -p**7/1575 - 53*p**6/900 + 109*p**5/450 - 11*p**4/36 - p**2 - 9*p. Factor y(l).
-2*l*(l - 1)**2*(l + 55)/15
Factor 0 + 3/5*x**5 - 426/5*x**4 + 18471/5*x**3 - 237708/5*x**2 + 934092/5*x.
3*x*(x - 62)**2*(x - 9)**2/5
Let i(g) be the second derivative of -g**9/864 - 17*g**8/3360 + g**7/1260 - 17*g**4/12 + g + 11. Let v(u) be the third derivative of i(u). Solve v(o) = 0.
-2, 0, 2/35
Suppose 59*m - 1026 = 12*m - 7*m. Let a(q) be the second derivative of -m*q + 1/20*q**4 + 3/5*q**2 - 3/10*q**3 + 0. Factor a(t).
3*(t - 2)*(t - 1)/5
Factor -90*q**3 + 0*q**2 + 93/2*q**4 + 0 + 0*q - 3/4*q**5.
-3*q**3*(q - 60)*(q - 2)/4
Let c(j) = 272*j + 544. Let h be c(-2). Let u(d) be the third derivative of -1/24*d**6 + 0*d**4 - 2*d**2 + h*d + 0*d**3 + 0 + 1/6*d**5. What is o in u(o) = 0?
0, 2
Let a = 199681/24 + -8320. Let o(t) be the second derivative of a*t**4 + 0*t**2 + 0 + 24*t - 1/12*t**3. Suppose o(l) = 0. What is l?
0, 1
Let z(k) be the first derivative of 2/3*k**3 + 46*k - 177 + 24*k**2. Factor z(b).
2*(b + 1)*(b + 23)
Let r(j) = 4*j**2 - 248*j - 406. Let g(o) = 2*o**2 - 124*o - 214. Let s(l) = 7*g(l) - 4*r(l). Solve s(a) = 0 for a.
-1, 63
Let f(v) be the third derivative of -v**6/480 - 37*v**5/80 - 585*v**4/32 - 2511*v**3/8 + 1043*v**2 - v - 2. Factor f(t).
-(t + 9)**2*(t + 93)/4
Suppose 2*o = -5*y - 0*y + 27, -5*y + 31 = o. Let a(n) = n**3 + 14*n**2 - 15*n + 2. Let z be a(-15). Find x, given that x + y*x - z*x**2 + 2*x = 0.
0, 5
Let y(q) = 57*q**2 - 1255*q - 7697. Let c(r) = 4*r**2 + 1. Let l(b) = 13*c(b) - y(b). Suppose l(f) = 0. What is f?
-6, 257
Let j be 3213/(-567)*4/(-68). Factor -j - 2/3*p - 1/3*p**2.
-(p + 1)**2/3
Let z be (2916/90)/9 + -2. Find w such that -4/5*w + 8*w**2 - z = 0.
-2/5, 1/2
Let f = -3785 + 3785. Let v(i) be the third derivative of 0*i - 1/12*i**5 + 0*i**3 - 5/24*i**4 + 6*i**2 + f. Let v(z) = 0. What is z?
-1, 0
Let o(f) = -9*f**3 + 330*f**2 - 1248*f - 6. Let p(x) = -8*x**3 + 329*x**2 - 1248*x - 5. Let a(l) = 5*o(l) - 6*p(l). Determine d, given that a(d) = 0.
0, 4, 104
Let d(t) be the second derivative of -2*t**6/15 - 194*t**5/5 - 9409*t**4/3 - 787*t. Suppose d(c) = 0. Calculate c.
-97, 0
Let c = 4429 + -1594439/360. Let z(a) be the third derivative of 10*a**2 - 2/9*a**3 + c*a**6 + 0 + 0*a**4 + 0*a + 1/60*a**5. Let z(u) = 0. Calculate u.
-2, 1
Let -4/3*a**4 - 20*a**2 + 38/3*a**3 - 1/3*a**5 + 9*a + 0 = 0. What is a?
-9, 0, 1, 3
Let g(l) be the second derivative of 265*l**4/6 - 1055*l**3/6 - 5*l**2 + 13*l + 62. Factor g(z).
5*(z - 2)*(106*z + 1)
Solve 775/9*d + 95/9*d**2 - 5/9*d**4 - 31/9*d**3 + 250/3 = 0 for d.
-5, -6/5, 5
Let m be ((-1728)/(-72))/(-2 + (-21)/(-6)). Let r(v) be the second derivative of 0 + 0*v**3 + 1/2*v**4 - m*v - 4*v**2 - 1/10*v**5. What is d in r(d) = 0?
-1, 2
Let g(x) be the first derivative of -5*x**6/72 - 11*x**5/12 - 5*x**4/3 - 73*x**3 - x**2 - 25. Let m(l) be the third derivative of g(l). What is u in m(u) = 0?
-4, -2/5
Let n be 17 + (-1736)/196 + (3 - 6). Find j such that -16/7*j**4 - n*j**3 - 22/7*j**2 + 2/7 + 0*j = 0.
-1, -1/2, 1/4
Suppose 1 = 4*t + 2*o - 7, 0 = -4*o. Let f be ((-10)/5 - t)*-1. Find b, given that -89*b**2 - f*b**4 - 2*b**5 - 2*b**4 + 97*b**2 = 0.
-2, 0, 1
Let i be (-132)/572 - (-367)/13. Let f be -1 + (50/i - 4/8). Determine c so that -1/7*c**3 + 0 + 1/7*c**2 + f*c = 0.
-1, 0, 2
Let i(p) be the first derivative of -p**4/18 - 80*p**3/9 - 1600*p**2/3 - 105*p - 48. Let a(q) be the first derivative of i(q). Suppose a(f) = 0. What is f?
-40
Let p be (1/(-2))/(992/(-6448)). Determine c, given that -p*c**3 - 9/4*c**4 - 5/4*c**2 + 1/2 + 3/4*c - 1/2*c**5 = 0.
-2, -1, 1/2
Suppose 0 = m - 5 + 6, 4*f - 2*m = -38. Let b be (-13)/(-5) + (-1 - 14/f). What is w in -5*w**b + 6 - 15*w + 0*w**2 + 2*w**3 - 2*w**2 + 14*w**2 = 0?
1, 2
Let c be 12/(-1)*(-295)/1770. Let n = 4843/2156 + 2/539. Factor -3/8*d**c + n*d - 27/8.
-3*(d - 3)**2/8
Let x be 3 + 2/4 + (-84)/8. Let f(b) = b + 12. Let y be f(x). Solve -3*j**4 - y + j**3 + 5 + 6*j**2 + 2*j**3 = 0 for j.
-1, 0, 2
Let h(g) = -2*g**2 + 48*g + 55. Let q be h(22). Factor q - 151 + 0*a**2 - 6*a - 2*a**2 + 14*a.
-2*(a - 2)**2
Solve 1505/3*i**2 - 1/3*i**3 + 0 + 0*i = 0 for i.
0, 1505
Let b(s) be the second derivative of -s**7/3780 - 19*s**6/360 + 5*s**4/12 + 17*s**3/6 + 2*s + 24. Let p(v) be the third derivative of b(v). Factor p(h).
-2*h*(h + 57)/3
Let w = -38061 + 38063. Find k, given that -27/7*k**w + 81/7*k + 3/7*k**3 - 81/7 = 0.
3
Let b be (-6)/(18/3) + 17/1. Let w = 13 + -11. Determine i, given that 0*i + b*i**2 - 4 - 14*i**2 + w*i = 0.
-2, 1
Suppose 10/7*r**5 + 384/7*r**4 + 0 - 152/7*r - 384/7*r**2 + 142/7*r**3 = 0. Calculate r.
-38, -1, -2/5, 0, 1
Let w(x) be the second derivative of x**8/2240 + x**7/42 + 5*x**6/12 - 31*x**4/12 + 30*x. Let s(c) be the third derivative of w(c). Factor s(h).
3*h*(h + 10)**2
Let x(n) be the first derivative of -28*n**5/5 - 23*n**4 + 76*n**3 + 414*n**2 + 216*n - 4252. Solve x(y) = 0 for y.
-3, -2/7, 3
Let n be 11 - (-10)/((-400)/36)*7975/660. Let -n*k**2 + 3/2*k - 9/2 = 0. What is k?
6
Suppose -9*l = -7*l - 92. Let m = l + -6. Solve -2*t**2 + m + 55*t**3 - 2*t**2 - 6*t**2 - 30*t**4 - 60*t + 5*t**5 = 0 for t.
-1, 1, 2
Let f(n) be the third derivative of -1/120*n**6 + 4/3*n**3 + 2*n - 30*n**2 + 0 + 1/24*n**4 - 2/15*n**5. Factor f(r).
-(r - 1)*(r + 1)*(r + 8)
Let v(n) be the second derivative of 12*n + 1/9*n**4 + 0*n**2 - 1/12*n**5 + 0*n**3 + 0 + 1/90*n**6. Factor v(d).
d**2*(d - 4)*(d - 1)/3
Let f(x) be the second derivative of x**6/90 - x**5/12 + 7*x**4/36 - x**3/6 + 485*x. Factor f(h).
h*(h - 3)*(h - 1)**2/3
Let s(k) = -14*k**2 - 9*k + 6. Let n(t) = 1. Let b(r) = n(r) - s(r). Let h be b(-5). Factor -214*u**2 - 2*u**3 - 8*u**3 - h*u + 329*u**2 - 180.
-5*(u - 6)**2*(2*u + 1)
Let x(q) be the third derivative of q**5/30 - 17*q**4/12 + 124*q**2 + 2*q. Let x(f) = 0. What is f?
0, 17
Factor d**5 - 684*d + 114 - 326*d**3 - 596*d**2 + 217*d - 65*d**4 - 334 + 86 + 3*d**4.
(d - 67)*(d + 1)**3*(d + 2)
Solve 2954552*o**2 - 1218*o - 417*o - 2954542*o**2 - 820 = 0 for o.
-1/2, 164
Let c = -4457/2 - -2229. Let u(g) be the third derivative of c*g**4 - 1/15*g**5 + 0 + 0*g + 0*g**3 + 14*g**2. Factor u(o).
-4*o*(o - 3)
Let f(g) = 5*g**3 + 66*g**2 - 114*g + 87. Let m(t) = -t**3 - 13*t**2 + 23*t - 17. Suppose -2*h + 28 = 24. Let o(x) = h*f(x) + 11*m(x). Let o(l) = 0. What is l?
-13, 1
Let w be ((-112)/(-2640))/(9/705). Let b = 39/11 - w. Factor 2/9*u**3 + 4/9 - b*u**4 - 10/9*u + 2/3*u**2.
-2*(u - 1)**3*(u + 2)/9
Let j(q) = -7*q**3 + 2*q**2 + 12. Let f(y) = -6*y**3 + 1 + 9 + 8*y**2 - y**2 - 5*y**2. Let t(d) = 6*f(d) - 5*j(d). Factor t(u).
-u**2*(u - 2)
Let p(k) be the third derivative of -253*k**2 + 0*k**3 - 1/105*k**7 + 2/15*k**5 + 1/30*k**6 + 0*k - 1/336*k**8 + 0*k**4 + 0. Factor p(c).
-c**2*(c - 2)*(c + 2)**2
Let v = 19 + -17. Suppose h - 3 = -0. Factor -7*x**2 + 9*x**2 - 3*x**2 - h*x**v.
-4*x**2
Let s(v) be the first derivative of -v**9/1008 + v**8/560 + v**7/280 - v**6/120 - v**3/3 - 3*v**2 + 9. Let r(p) be the third derivative of s(p). Factor r(z).
-3*z**2*(z - 1)**2*(z + 1)
Let k(d) = 19*d**4 + 394*d**3 - 18*d**2 - 1261*d + 918. Let a(o) = -6*o**4 - 132*o**3 + 6*o**2 + 420*o - 304. Let b(x) = 13*a(x) + 4*k(x). Factor b(s).
-2*(s - 1)**2*(s + 2)*(s + 70)
Let p be (-146344)/(-10956) + 10/(-415). Find q such that 15 - p*q - 5/3*q**2 = 0.
-9, 1
Let j(z) be the third derivative of z**8/40320 - z**7/3360 + 53*z**5/60 - 356*z**2. Let s(g) be the third derivative of j(g). Let s(o) = 0. Calculate o.
0, 3
Find s such that 0 + 21/5*s**2 + 6/5*s + 3*s**4 - 42/5*s**3 = 0.
-1/5, 0, 1, 2
Let c = -3 + 13. Suppose d = 2*z + 5*d, -2*z + c = -d. Factor -6*p - 8*p + z*p**2 - 20 + p - 3*p.
4*(p - 5)*(p + 1)
Let f(q) be the second derivative of q**6/60 + q**5/30 - 2*q**4/3 - 4*q**3 - 85*q**2/2 + 2*q + 2. 