 i(j) = -4*x(j) - y(j). Factor i(b).
-2*(b + 1)*(b + 8)*(3*b + 2)
Let k(v) be the second derivative of v**4/20 + 23*v**3/5 + 27*v**2/2 - 71*v + 2. Factor k(h).
3*(h + 1)*(h + 45)/5
Let t be ((-5)/(-20))/(4/16). Let g(d) = d**2 - d + 1. Let u(k) = -2*k**2 - 3 + k - k**2 - 2*k**2. Let z(s) = t*u(s) + 3*g(s). Let z(f) = 0. What is f?
-1, 0
Find o, given that -2/5*o**2 - 12 + 62/5*o = 0.
1, 30
Let q(b) be the first derivative of 128*b**6/9 + 224*b**5/3 + 355*b**4/3 + 865*b**3/18 + 25*b**2/3 + 2*b/3 - 118. Factor q(z).
(z + 2)**2*(8*z + 1)**3/6
Solve -39*v**3 - 653*v**4 - 30*v**2 + 20*v - 654*v**4 + 15 + 1282*v**4 - 21*v**3 = 0 for v.
-1, 3/5
Let f(v) be the second derivative of v**6/150 - 3*v**5/100 - 3*v**4/20 - v**3/6 - 48*v - 1. Factor f(q).
q*(q - 5)*(q + 1)**2/5
Let g(r) be the second derivative of r**5/20 - r**3/2 - 21*r**2/2 + 12*r. Let b(s) be the first derivative of g(s). Factor b(o).
3*(o - 1)*(o + 1)
Suppose g**5 + 4*g**3 - 7*g**2 - g**2 - 3430*g**4 - 5*g**5 + 3438*g**4 = 0. Calculate g.
-1, 0, 1, 2
Let h = -15/104 - -523/2184. Let y(o) be the first derivative of -h*o**3 + 0*o**2 - 5 + 0*o + 9/28*o**4 - 1/5*o**5. Factor y(c).
-c**2*(c - 1)*(7*c - 2)/7
Factor -434*t**3 - 10*t**2 - 41*t**2 + 216*t**3 + 48*t + 221*t**3.
3*t*(t - 16)*(t - 1)
Suppose -24 + 0 = -3*i. Let o = i - 6. Factor -5*y**3 + o*y**3 + 2*y**3 + y**2.
-y**2*(y - 1)
Let s be (10/6 - 1)*(-22)/(-704)*120. Determine i so that 55/2*i**3 - s*i + 14*i**4 + 12*i**2 - 1 = 0.
-1, -1/4, 2/7
Let m(h) be the second derivative of h**6/40 + 21*h**5/20 + 61*h**4/4 + 84*h**3 + 216*h**2 - 6*h + 2. Let m(j) = 0. Calculate j.
-12, -2
Let h(o) be the first derivative of -o**4/24 - o**3/6 - o**2/4 - 19*o - 15. Let d(x) be the first derivative of h(x). Let d(g) = 0. What is g?
-1
Suppose f = 3*f - 2*g, 3*f - 16 = -g. Let t(v) be the first derivative of -f*v - 4 - 1/3*v**3 - 2*v**2. Factor t(n).
-(n + 2)**2
Suppose -4*s - 1 = -9. Suppose 3*x - 3 = -0, -s*n + 5 = -3*x. Factor -2*d**2 - 3*d**3 + n*d**3 - d**2 + 5 - 1.
(d - 2)**2*(d + 1)
Let u(h) = -7*h**2 + 7*h + 51. Let i(f) = 8*f**2 - 8*f - 52. Let x(c) = 3*i(c) + 4*u(c). Factor x(p).
-4*(p - 4)*(p + 3)
Let l(n) = -n**2 + 5*n - 4. Let t be l(3). Factor -10*c + 8 - 12*c**t - 3*c**2 + 12*c**2.
-(c + 4)*(3*c - 2)
Let m be (20/(-15))/(-2 - 128/(-84)). Solve 18/5*k**2 - m*k + 2/5*k**4 + 4/5 - 2*k**3 = 0 for k.
1, 2
Let n(y) be the second derivative of -3*y**5/10 - 11*y**4/42 + 2*y**3/21 + 62*y. Factor n(s).
-2*s*(3*s + 2)*(7*s - 1)/7
Let p = 2 + 1. Suppose 34*h - 36*h = -10. Suppose -3*o - p*o**2 + o**2 + h*o**2 = 0. Calculate o.
0, 1
Let r = 88/15 - 26/5. Let p be 3 - (0 - 3 - -4). Let r*u**3 - 4/5 + 12/5*u**p + 14/15*u = 0. What is u?
-3, -1, 2/5
Let u(r) = r**3 + r**2 - 3*r - 3. Let x be u(2). Factor -12*k - 2*k**4 - 18*k - 8*k**x - 10*k + 48*k + 2*k**2.
-2*k*(k - 1)*(k + 1)*(k + 4)
Let x = 7 - -19. Let i(v) = 2*v**2 - 6*v + 1. Let n(g) = -9*g**2 + 25*g - 5. Let u(s) = x*i(s) + 6*n(s). Factor u(y).
-2*(y + 1)*(y + 2)
Let l(j) = 46*j**2 - 78*j - 12. Let p(a) = -193*a**2 + 311*a + 48. Let r(g) = -9*l(g) - 2*p(g). Suppose r(z) = 0. What is z?
-1/7, 3
Solve 56/9*r - 8/9 - 50/9*r**2 + 4/3*r**3 = 0.
1/6, 2
Suppose -25 = -176*z + 171*z. Let o(f) be the second derivative of 0*f**2 + 0 + 5*f - 1/70*f**z - 1/14*f**4 - 2/21*f**3. Factor o(j).
-2*j*(j + 1)*(j + 2)/7
Let n be ((-64)/130 + 0)/(540/(-1350)). Determine l, given that -2/13*l**5 - n*l - 14/13*l**4 - 40/13*l**2 + 0 - 36/13*l**3 = 0.
-2, -1, 0
Let a(m) be the second derivative of m**4/12 - 3*m**3/2 + 7*m**2 + 10*m - 2. Factor a(y).
(y - 7)*(y - 2)
Suppose 0*l = 5*l + 15, 2*y - 7 = l. Let 4/5*j**3 - 16/5*j + 8/5*j**y - 32/5 = 0. What is j?
-2, 2
Let x(c) = -65*c**2 - 30*c + 60. Let j(h) = -11*h**2 - 5*h + 10. Let a(d) = 2*d**2 - 3*d - 19. Let m be a(6). Let f(k) = m*j(k) - 6*x(k). Factor f(v).
5*(v - 1)*(v + 2)
Let t = 314 + -309. Let i(y) be the second derivative of 1/12*y**4 + 1/6*y**3 + 0*y**2 + 0 + t*y. Solve i(f) = 0.
-1, 0
Suppose 0*j - 2*g = -5*j + 17, 4*j = 3*g + 15. Suppose 0 = 5*v + 60, -10*r - 5*v = -6*r - r + 60. Factor 3*n**2 + 9/2*n + r - 3/2*n**j.
-3*n*(n - 3)*(n + 1)/2
Factor 4*f**2 - 905*f + 2888 + 3*f**2 - 5*f**2 + 753*f.
2*(f - 38)**2
Let h(p) be the first derivative of p**6 - 31*p**5/10 - 35*p**4/8 + 19*p**3 - p**2 - 28*p + 83. Suppose h(z) = 0. Calculate z.
-7/4, -2/3, 1, 2
Let h(i) be the second derivative of i**6/180 - i**5/20 - i**4/3 + 17*i**3/3 + 26*i. Let w(u) be the second derivative of h(u). Let w(g) = 0. Calculate g.
-1, 4
Let s(u) = -u + 23. Let o be s(-7). Let k = o - 88/3. Factor 0 + k*x**2 - 2/3*x.
2*x*(x - 1)/3
Let u(r) be the third derivative of r**8/6720 - r**7/1680 - 23*r**5/60 - 2*r**2. Let f(k) be the third derivative of u(k). Factor f(c).
3*c*(c - 1)
Let z(w) be the third derivative of 0 - 1/3*w**3 - 3/280*w**7 - 24*w**2 - 5/96*w**6 + 0*w + 1/40*w**5 + 3/8*w**4. Find d, given that z(d) = 0.
-2, 2/9, 1
Let h = 239 - 239. Factor 16/7*v**2 + h - 10/7*v**3 + 2/7*v**4 - 8/7*v.
2*v*(v - 2)**2*(v - 1)/7
Let h be 12/(-18) - (1 - 239/3). Let u = -78 + h. Factor u + 8/5*z + 2/5*z**2.
2*z*(z + 4)/5
Let c(n) = 6*n**5 - 9*n**3 - 3*n. Let f(s) = 7*s**5 - 9*s**3 + 2*s**2 - 4*s. Let x(u) = 4*c(u) - 3*f(u). Factor x(k).
3*k**2*(k - 2)*(k + 1)**2
Let j(m) be the second derivative of -m**6/1080 + m**4/18 + m**3/3 - 7*m. Let o(k) be the second derivative of j(k). Suppose o(n) = 0. What is n?
-2, 2
Let t(i) = -i**2 + 5*i + 4. Let s be 33/88 - 54/16. Suppose 2*m - 4*m - 12 = 0. Let d(r) = r**2. Let c(v) = m*d(v) + s*t(v). Factor c(k).
-3*(k + 1)*(k + 4)
Factor 48/5*b**2 - 64/5*b + 0 + 3*b**3 + 1/5*b**4.
b*(b - 1)*(b + 8)**2/5
Let w(n) be the second derivative of -n**4/3 + 40*n**3/3 - 38*n**2 - 2*n - 78. Factor w(d).
-4*(d - 19)*(d - 1)
Factor -2 - 4/9*d**3 - 16/9*d**2 + 4*d + 2/9*d**4.
2*(d - 3)*(d - 1)**2*(d + 3)/9
Let q = 419/1035 - 1/207. What is o in 2/5*o**3 + 0*o - q*o**4 + 0 + 4/5*o**2 = 0?
-1, 0, 2
Let y(j) be the second derivative of j**5/5 - 2*j**4/3 - 22*j**3/3 + 24*j**2 - 35*j - 1. Factor y(x).
4*(x - 4)*(x - 1)*(x + 3)
Let w(x) be the first derivative of -4/9*x**3 + 1/36*x**6 + 1/15*x**5 - 1/3*x**2 + 0*x - 1/8*x**4 + 46. Suppose w(y) = 0. Calculate y.
-2, -1, 0, 2
Suppose -d - 1 = -9. Let h be (12 - d) + (0 - 2). Factor -h*l**4 + 6*l**3 - 2*l**3 + 4*l**4.
2*l**3*(l + 2)
Let l be 63/(-84)*4/6*36. Let f be (-8)/3 + (-72)/l. What is v in 2*v - f*v**3 + 4/3*v**2 - 2/3*v**5 - 2*v**4 + 2/3 = 0?
-1, 1
Factor 11*r**5 + 64*r**3 - 152*r - 235 + 19 - 72*r**2 - 7*r**5 + 32*r**4 - 172*r.
4*(r - 2)*(r + 1)*(r + 3)**3
Factor 0 + 171/7*b + 3/7*b**2.
3*b*(b + 57)/7
Suppose -10 = h - 3*z, -280*h + 276*h - z = -12. Let 7*k + 49/2 + 1/2*k**h = 0. What is k?
-7
Factor 13/7*u**3 + 0*u - 1/7*u**4 + 0 + 0*u**2.
-u**3*(u - 13)/7
Let i(k) = -k**3 - k**2 + 2*k + 1. Let j(v) = -4*v**3 + 8*v**2 - 2*v - 16. Let a(z) = -4*i(z) + 2*j(z). Factor a(w).
-4*(w - 3)**2*(w + 1)
Factor 1015/6*y**2 + 25/6*y**4 + 686/3 + 1/6*y**5 + 980/3*y + 235/6*y**3.
(y + 2)**2*(y + 7)**3/6
Suppose 80 = 14*c - 452. Determine t so that -12*t**3 - 20*t**3 - 4 - 13*t**4 + 17*t**2 + c*t**3 - 6*t**5 = 0.
-2, -1, -2/3, 1/2, 1
Let s(k) = 26*k**3 + 168*k**2 + 142*k + 5. Let d(m) = -39*m**3 - 253*m**2 - 213*m - 7. Let w(f) = -5*d(f) - 8*s(f). Factor w(g).
-(g + 1)*(g + 5)*(13*g + 1)
Determine p so that 2/7*p**2 - 2/7*p - 60/7 = 0.
-5, 6
Let b(y) be the third derivative of 1/840*y**7 + 0*y**5 + 3*y**2 + 0*y + 0*y**4 + 0 + 1/1344*y**8 + 0*y**3 - 1/240*y**6. Factor b(z).
z**3*(z - 1)*(z + 2)/4
Let i(k) = -k**2 - 6*k + 3. Suppose -19 - 5 = 4*c. Let a be i(c). Factor -21*v**3 + 4*v**4 + 11*v**a + 2*v**3 - 4*v - 4*v**2 + 12*v.
4*v*(v - 2)*(v - 1)*(v + 1)
Let g = 48 - 8. Let t be 9*g/84 - 4. Factor -4/7*x + t*x**2 - 6/7.
2*(x - 3)*(x + 1)/7
Let p(v) = 3*v**2 - v - 11. Let w be p(6). Find f, given that -1 - 89*f**2 + w*f**2 - 4*f + 1 = 0.
0, 2
Suppose 2*p = -34 + 2. Let q = -9 - p. Let -y**2 - 2*y + q*y**3 - 7*y**3 - y**2 + 2*y**3 + 2 = 0. What is y?
-1, 1
Let m be (-1)/1 - (-4)/4. Let a(v) be the third derivative of m*v**3 + 1/4*v**4 - 1/20*v**5 + 0 + 0*v - 3*v**2. Suppose a(w) = 0. What is w?
0, 2
Let l(o) = 7*o**3 + 27*o**2 - 22*o - 10. Let c(s) = 36*s**3 + 135*s**2 - 111*s - 49. Let z(r) = 2*c(r) - 11*l(r). Let z(q) = 0. What is q?