ine z, given that g(z) = 0.
-2, 1
Let u be 4*(-124)/(-112) + 1. Factor -u*j**3 - 32/7*j - 50/7*j**2 - 8/7 - 2*j**4 - 2/7*j**5.
-2*(j + 1)**3*(j + 2)**2/7
Let m be (-2)/(-10) + 18/210. Suppose -5*x + 2 = 4*w - 2, -2*w + 2 = 2*x. Factor 2/7*b**5 + 2/7*b**4 - m*b**3 + x + 0*b - 2/7*b**2.
2*b**2*(b - 1)*(b + 1)**2/7
Let b be -2 - (-3)/((-6)/(-2)). Let z = b + 5. Factor 3*j + z - 2*j - 5*j + j**2.
(j - 2)**2
Factor -3/2*n**4 + 0 + 3/2*n**2 - 3*n + 3*n**3.
-3*n*(n - 2)*(n - 1)*(n + 1)/2
Solve -3/7 - 1536/7*y**4 - 648/7*y**2 + 2112/7*y**3 + 75/7*y = 0 for y.
1/8, 1
Let h(n) = n - 1. Let s(b) = -3*b**2 - 3*b + 6. Let y(i) = -6*h(i) - s(i). Determine d so that y(d) = 0.
0, 1
Let t(h) = 3*h**4 + 12*h**3 + 3*h**2 - 9*h + 9. Let d(z) = z**4 + 6*z**3 + z**2 - 4*z + 4. Let r(b) = 9*d(b) - 4*t(b). Let r(o) = 0. Calculate o.
0, 1
Suppose 3*j = -5*m + 25, -j + m - 5 = -0*m. Suppose l + 4*w = 6, -5*w + 3 = -l - 0*w. What is u in -2/5*u**4 - 4/5*u**5 + 0*u + j + 2/5*u**l + 4/5*u**3 = 0?
-1, -1/2, 0, 1
Let n be 1 - 0 - (-4 - -2). Suppose n*y - 12 = -y. Factor 3*z**y + 14*z + 0*z**2 + 3*z**2 + z**4 - 13*z.
z*(z + 1)**3
Let c(r) = -r**2 - r + 1. Let w be ((-27)/(-9))/(1/1). Let v(b) = -b**3 - 3*b**2 + 5. Let q(f) = w*c(f) - v(f). Suppose q(m) = 0. What is m?
-1, 2
Let c be 143/36 + (-5 - -1). Let s = 5/18 + c. Solve s - 1/4*p**5 - 1/2*p**2 - 1/4*p + 1/2*p**3 + 1/4*p**4 = 0 for p.
-1, 1
Let b(q) be the third derivative of -q**5/180 + q**4/18 - 5*q**2. Find l, given that b(l) = 0.
0, 4
Factor -6*i - 5*i**3 + 4*i**2 + 3*i**3 + 0*i + 4*i.
-2*i*(i - 1)**2
Let n be (1/(-24))/(25/(-20)). Let t(x) be the third derivative of 0 + n*x**5 - 2/21*x**3 - x**2 + 0*x - 5/84*x**4. Factor t(q).
2*(q - 1)*(7*q + 2)/7
Let k(r) = -r**3. Let n(o) = -6*o**2 + 4*o. Let x(u) = -3*u - 11. Let j be x(-5). Let z(p) = j*k(p) - 2*n(p). Factor z(f).
-4*f*(f - 2)*(f - 1)
Determine q so that -1/8*q**3 - 3/8*q**2 + 0 + 0*q = 0.
-3, 0
Let n(x) = -3*x - 3. Let r be n(-6). Suppose -2*s = 3*s - r. Suppose 6*o**3 - 3*o**3 - 6*o - o**s + 4 = 0. What is o?
-2, 1
Let t(o) be the first derivative of -49*o**6/6 - 126*o**5/5 - 109*o**4/4 - 12*o**3 - 2*o**2 - 7. Factor t(b).
-b*(b + 1)**2*(7*b + 2)**2
Solve 1/2*w**2 + 1/2 - w = 0 for w.
1
Let x be (-66)/60*(-34)/46. Let r = -3/230 + x. Let -2/5*c**5 - 8/5*c**2 + 4/5 + 4/5*c**3 - 2/5*c + r*c**4 = 0. What is c?
-1, 1, 2
Let g = -6 - -8. Let p(n) be the second derivative of n + 1/24*n**3 + 0*n**g - 1/80*n**5 + 1/48*n**4 - 1/120*n**6 + 0. Factor p(x).
-x*(x - 1)*(x + 1)**2/4
Let n = 30/59 - 1/118. Let -1/2*y**2 + 0*y + n = 0. Calculate y.
-1, 1
Let h(v) be the first derivative of -v**6/18 + v**5/15 + v**4/12 - v**3/9 + 17. Factor h(a).
-a**2*(a - 1)**2*(a + 1)/3
Let c = 21 + -19. Suppose 0*u + 18 = c*u. Determine a so that u*a + 6 + 3/4*a**3 + 9/2*a**2 = 0.
-2
Let r(f) be the second derivative of -f**4/4 + f**3 - 14*f. Factor r(j).
-3*j*(j - 2)
Let w(v) be the first derivative of -v**6/30 + 3*v**5/20 - v**4/6 + v + 4. Let s(r) be the first derivative of w(r). Find c such that s(c) = 0.
0, 1, 2
Let l(q) be the third derivative of -q**6/120 + 3*q**5/40 - q**4/4 - q**3/6 + 2*q**2. Let n(f) be the first derivative of l(f). Suppose n(g) = 0. What is g?
1, 2
Let q(d) be the first derivative of d**4 + 1/3*d**6 + 4 - 6/5*d**5 + 0*d**2 + 0*d**3 + 0*d. Factor q(r).
2*r**3*(r - 2)*(r - 1)
Let b(i) be the third derivative of -i**8/672 - i**7/210 + 2*i**2. Factor b(l).
-l**4*(l + 2)/2
Suppose 0 = 4*s - 3*a - 1, -a - 2*a = 4*s - 31. Suppose s*g = 7*g - 12. Factor 0*c - 4/5*c**3 - 2/5*c**g + 0*c**2 + 0.
-2*c**3*(c + 2)/5
Suppose -u - 4 = x + x, 2*u + 3*x = -6. Solve -6*w**2 + u*w + 6*w**4 + 3*w - 4*w**5 + w**5 + 0*w = 0.
-1, 0, 1
Let n(m) be the second derivative of -m**4/12 + 2*m**3/3 + 5*m**2/2 - m - 41. Factor n(s).
-(s - 5)*(s + 1)
Let x(h) be the third derivative of -h**8/4200 - h**7/2100 + h**6/900 + h**5/300 + 2*h**3/3 + 2*h**2. Let k(u) be the first derivative of x(u). Factor k(j).
-2*j*(j - 1)*(j + 1)**2/5
Let z(t) = t**2 - 3. Let c be z(3). Factor c*r**3 - 19*r + 5*r + 3*r**2 + 6*r**3 + 2*r - 3.
3*(r - 1)*(r + 1)*(4*r + 1)
Let g be -2 - (-2)/4 - (-1 + -1). Factor 0 + 1/2*c - 1/2*c**3 - 1/2*c**2 + g*c**4.
c*(c - 1)**2*(c + 1)/2
Suppose 3 = -4*h - t, 5*h + 0*t + 3 = -t. Suppose h*p + 2*p = 6. Factor 5*n**2 - 2*n - 4 - 6*n**2 + p.
-(n + 1)**2
Suppose -v = -y, v + y = -v + 12. Determine p, given that -4 + 4*p**3 - v + 0 - 12*p - 6*p**2 - 5*p**3 = 0.
-2
Let g(q) be the second derivative of -q**4/6 + 4*q**2 + 5*q. Factor g(l).
-2*(l - 2)*(l + 2)
Let y(i) be the first derivative of -i**6/900 - i**5/75 - i**4/15 + i**3 - 2. Let d(g) be the third derivative of y(g). Factor d(c).
-2*(c + 2)**2/5
Let q(c) be the third derivative of -c**7/70 + 3*c**5/20 + c**4/4 - c**2 - 4. What is g in q(g) = 0?
-1, 0, 2
Let n(k) = -k**3 + 5*k**2 + k. Let q be n(5). Suppose -f = -q*f + 8. Suppose v**3 + f*v**2 - v**2 - 2 - 5*v**2 + 5*v = 0. What is v?
1, 2
Suppose -2*u + 3*i + 12 = 0, 0*u + 5*u = -3*i + 30. Let v be 6/105*(-1 + u). Suppose 0 - 2/7*p - v*p**5 + 8/7*p**2 + 8/7*p**4 - 12/7*p**3 = 0. What is p?
0, 1
Let z(v) be the first derivative of v**4/2 - 2*v**3/3 - v**2 + 2*v - 13. Determine c, given that z(c) = 0.
-1, 1
Let v(y) = 9*y**2 - 36*y - 12. Let n(f) = -f**2. Let i(p) = -12*n(p) + v(p). Find x, given that i(x) = 0.
-2/7, 2
Let r(g) be the second derivative of 1/6*g**2 + 1/8*g**4 + g + 0 + 11/36*g**3. Find v, given that r(v) = 0.
-1, -2/9
Let t be 4/(-18) - (-460)/45. Suppose -k + t = 4*k. Find y, given that 8/7 + 10/7*y**k - 16/7*y - 2/7*y**3 = 0.
1, 2
Suppose -23 - 33 = -2*r. Suppose 2*o + t - r = 0, o - 21 = t + 2*t. Factor 8*p**3 + 5*p - o*p - 3*p - 32*p**4 + 4 + 14*p**5 - 9*p + 28*p**2.
2*(p - 1)**3*(p + 1)*(7*p - 2)
Let h = -31/2 - -16. Find a such that 0*a**3 - 1/4*a**5 + 1/2*a**2 - h*a**4 + 1/4*a + 0 = 0.
-1, 0, 1
Let x(n) be the first derivative of 0*n + 1 - 3/2*n**2 + 0*n**3 - 1/120*n**5 + 1/48*n**4. Let c(k) be the second derivative of x(k). Factor c(r).
-r*(r - 1)/2
Let x(t) be the third derivative of 2*t**7/105 - 2*t**6/15 + t**5/3 - t**4/3 - 2*t**2. Factor x(a).
4*a*(a - 2)*(a - 1)**2
Let j = -16 + 20. Let i be 8*(58/(-16) + j). Let 0 + 2*q**2 - 2/3*q**i - 4/3*q = 0. Calculate q.
0, 1, 2
Let i(k) be the first derivative of -3*k**5/40 - k**4/8 + 4*k + 4. Let x(j) be the first derivative of i(j). Suppose x(g) = 0. What is g?
-1, 0
Suppose 2*g + 3*b + 9 = -g, -5*g = -5*b + 5. Let n be (1 - g) + (-4 - -3). Factor 2/3*m**4 - 4/3*m + 4/3*m**3 + 0*m**n - 2/3.
2*(m - 1)*(m + 1)**3/3
Let n(u) be the second derivative of 3/2*u**2 - u + 1/36*u**4 - 1/18*u**3 + 0 + 1/60*u**5. Let a(y) be the first derivative of n(y). Factor a(g).
(g + 1)*(3*g - 1)/3
Let n = 8/19 + -5/57. Find t, given that 1/3*t**4 - 2/3*t**2 + 1/3 + n*t - 2/3*t**3 + 1/3*t**5 = 0.
-1, 1
Factor -3*h**2 + 3*h**4 - 2058 + 3*h**5 + 2058 - 3*h**3.
3*h**2*(h - 1)*(h + 1)**2
Let u(h) = -h + 1. Let k(f) = -f**3 + 4*f**2 + 6*f - 6. Let t(y) = -5*k(y) - 30*u(y). Factor t(c).
5*c**2*(c - 4)
Let w(c) be the second derivative of -c**5/5 + c**4/3 - c. Suppose w(t) = 0. What is t?
0, 1
Suppose 1 = -4*b + 17. Suppose -7*p - 2*l + 20 = -3*p, -b*l + 16 = 0. Factor 0 - 1/3*n - 1/3*n**2 + 1/3*n**p + 1/3*n**4.
n*(n - 1)*(n + 1)**2/3
Let l(p) be the second derivative of p**7/35 - 14*p**6/75 + 13*p**5/25 - 4*p**4/5 + 11*p**3/15 - 2*p**2/5 - 5*p. Let l(m) = 0. What is m?
2/3, 1
Let n(l) be the first derivative of -l**7/42 - l**6/30 + l**5/20 + l**4/12 - 5*l - 6. Let d(i) be the first derivative of n(i). Let d(v) = 0. Calculate v.
-1, 0, 1
Let n be 30/9*12/8. Factor -5*q**4 - 7*q**2 - 18*q**3 - 4*q - 5*q**4 - 7*q**2 - 2*q**n.
-2*q*(q + 1)**3*(q + 2)
Let i(b) be the third derivative of 0 + 0*b - 1/44*b**4 + 2*b**2 + 1/330*b**5 + 2/33*b**3. Suppose i(p) = 0. Calculate p.
1, 2
Let s(u) be the first derivative of u**5/30 - u**4/8 + u**3/18 + u**2/4 - u/3 + 45. Factor s(i).
(i - 2)*(i - 1)**2*(i + 1)/6
Let t be (2*(-3)/10)/(3/(-15)). Factor -2/5*y**4 + 2/5*y**2 + 0 + 0*y + 0*y**t.
-2*y**2*(y - 1)*(y + 1)/5
Let x(n) be the first derivative of n**5 - 5*n**4/4 - 5*n**3 + 5*n**2/2 + 10*n + 16. Determine d so that x(d) = 0.
-1, 1, 2
Factor 2*l**2 + 2*l**4 - 4*l**3 - 3 - 1 + 4.
2*l**2*(l - 1)**2
Let z be (-10)/4*8/(-10). Factor -6*r + 1 - 4 - 11*r