uppose -4 = -3*u + 8. Factor -30*g**3 - g - 6*g**2 - 12*g**u + 3*g**3 - 12*g**2 - 2*g.
-3*g*(g + 1)**2*(4*g + 1)
Let f = 49 + -49. Determine p so that f*p + 2/3*p**2 - 14/3*p**4 - 4/3*p**3 + 0 - 8/3*p**5 = 0.
-1, 0, 1/4
Let k(a) be the second derivative of a**10/40320 + a**9/30240 + a**4/2 - 3*a. Let u(c) be the third derivative of k(c). Factor u(i).
i**4*(3*i + 2)/4
Let z(f) be the second derivative of f**7/105 + 2*f**6/75 - f**4/15 - f**3/15 + 3*f. Factor z(p).
2*p*(p - 1)*(p + 1)**3/5
Suppose -10 = 2*w + 5*d - 1, 3*w + 2*d = 3. Suppose 0*u - 3/8*u**5 - 3/8*u**w + 0*u**2 + 0 - 3/4*u**4 = 0. What is u?
-1, 0
Suppose -5*f + 45/2*f**2 + 35/2*f**5 + 0 - 25/2*f**3 - 45/2*f**4 = 0. Calculate f.
-1, 0, 2/7, 1
Let f(p) be the third derivative of 0 + 0*p**3 + 0*p - 1/48*p**4 + p**2 - 1/120*p**5. Factor f(c).
-c*(c + 1)/2
Let u(n) = -n - 2. Let r be u(-5). Let p be 1 - (-1 - 5/(-3)). Factor 1/3 - 2/3*d - p*d**4 + 2/3*d**r + 0*d**2.
-(d - 1)**3*(d + 1)/3
Suppose 0 = 5*d - 3*r - 35, 0 = 2*d - 3*r + 7 - 30. Suppose -3*b = -b - d*z - 2, 4*b = 5*z + 7. Factor 0*w**2 - 3*w**2 + 3*w**b - 3*w**2.
3*w**2*(w - 2)
Let m(i) be the third derivative of 1/170*i**5 + 0*i**6 + 0 - 7*i**2 + 0*i - 1/102*i**4 - 1/1785*i**7 + 0*i**3. Determine a, given that m(a) = 0.
-2, 0, 1
Let o = 63 + -63. Suppose o - 2/3*c**2 + 0*c = 0. What is c?
0
What is c in 0*c**2 + 4*c**2 + 18 - 20 - c + 2*c**3 - c**5 - 2*c**4 = 0?
-2, -1, 1
Factor 0 + 0*k**2 + 0*k - 1/4*k**3.
-k**3/4
Let w be 1 + (1 + 7)/2. Suppose 15 = 4*y + w*f - 2*f, -2*y + 8 = 2*f. Determine j, given that j**2 - 3*j - 1 + y*j = 0.
-1, 1
Let y(h) be the third derivative of 1/30*h**5 - 1/12*h**4 + 0 + 2*h**2 - 1/180*h**6 - 1/3*h**3 + 0*h. Let n(q) be the first derivative of y(q). Factor n(j).
-2*(j - 1)**2
Let d be 0 + (-2)/(-1 - 0). Factor -k**4 - 3*k - 9*k**4 - 19*k**d + 4 + 26*k**3 + k**2 + k.
-2*(k - 1)**3*(5*k + 2)
Let n(y) be the first derivative of 8*y**5/65 - 11*y**4/26 + 6*y**3/13 - y**2/13 - 2*y/13 - 4. Factor n(i).
2*(i - 1)**3*(4*i + 1)/13
Let m(w) be the first derivative of 1/15*w**3 + 1/25*w**5 + 1 + 0*w**2 - 1/10*w**4 + 0*w. Solve m(h) = 0.
0, 1
Let m = -26 + 26. Suppose -4*l + 5 + 7 = 0. Factor 0*b + 1/3*b**l + m + 0*b**2.
b**3/3
Let q(x) = -5*x**3 - 8*x**2 + 7*x + 8. Let d(c) = -35*c**3 - 55*c**2 + 50*c + 55. Let l(b) = -2*d(b) + 15*q(b). Solve l(n) = 0.
-2, -1, 1
What is j in 9*j**2 - 12 - 9*j + 0*j**2 - 6*j**2 = 0?
-1, 4
Let u(w) be the second derivative of -1/30*w**4 + 0*w**2 + 0 + 1/50*w**5 + 1/75*w**6 + 2*w - 1/15*w**3. Factor u(h).
2*h*(h - 1)*(h + 1)**2/5
Let v = -7/6 + 3/2. Let b(n) be the third derivative of -4*n**2 + v*n**3 + 1/24*n**4 + 0 + 0*n - 1/60*n**5. Determine k, given that b(k) = 0.
-1, 2
Let h(v) be the first derivative of 0*v + 2/3*v**2 - 2 - 2/3*v**3. Factor h(j).
-2*j*(3*j - 2)/3
Let l be 2/(-20)*(0 - 18). Let g(i) = i**2 - 26*i + 3. Let k be g(26). Solve 0 + 0*n**2 - 4/5*n**k + 12/5*n**4 + 0*n - l*n**5 = 0.
0, 2/3
Factor -s + 2 + 0*s**2 + s**2 + 4*s.
(s + 1)*(s + 2)
Let z = -446/7 + 64. Let y be ((-8)/(-10))/(21/15). Factor 2/7*j**2 + z*j**4 + 0*j + 0 - y*j**3.
2*j**2*(j - 1)**2/7
Let m(h) be the third derivative of 0*h + 2*h**2 + 0 + 1/30*h**5 - 1/6*h**4 + 1/3*h**3. Factor m(u).
2*(u - 1)**2
Let m(z) be the second derivative of -z**4/36 + z**2/6 + 2*z. Let m(b) = 0. What is b?
-1, 1
Let o = -114 - -114. Factor 0*m + 8/9*m**2 + o - 2/3*m**4 - 2*m**5 + 16/9*m**3.
-2*m**2*(m - 1)*(3*m + 2)**2/9
Let u = 88/5 - 596/35. Suppose 4 = 3*w - 11. Solve u*i**4 - 2/7*i**w - 4/7*i**2 + 0*i**3 + 0 + 2/7*i = 0 for i.
-1, 0, 1
Let z(y) be the third derivative of -y**8/2688 - y**7/1680 + y**6/960 + y**5/480 + 2*y**2. Solve z(b) = 0.
-1, 0, 1
Let j(y) = -y**2 - 3*y + 4. Let n be j(-4). Let d be (-2)/(-8) - n/7. Determine i so that 1/4*i**2 + 0 + 0*i - d*i**3 = 0.
0, 1
Let t(y) = -5*y**2 + 2*y. Let j(o) = -6*o**2 + 3*o. Let b(l) = -4*j(l) + 5*t(l). Factor b(z).
-z*(z + 2)
Suppose j + 25 = -4*j + 3*b, -3*j = 5*b - 19. Let c be 8/4 + j/(-1). Factor 0*q + 0*q**3 + 0 + 1/4*q**2 - 1/4*q**c.
-q**2*(q - 1)*(q + 1)/4
Find y, given that -8/9 + 14/9*y**2 + 8/3*y = 0.
-2, 2/7
Suppose -1/3*u + 0 - 1/3*u**2 = 0. What is u?
-1, 0
Let z(d) be the first derivative of 3*d**6/2 - 3*d**5/5 - 11*d**4/4 + d**3 + d**2 + 7. Suppose z(i) = 0. What is i?
-1, -1/3, 0, 2/3, 1
Let c(h) = -2*h**3 - h. Let q be c(-1). Factor 0*w**2 + 2 + 10 + q*w**2 + 12*w + 0.
3*(w + 2)**2
Factor 13/2*a**2 + 5/2*a**3 + 0 - 3*a.
a*(a + 3)*(5*a - 2)/2
Let d = -9 + 11. Let a(s) be the second derivative of -2*s + 0 + 1/30*s**4 + 1/15*s**3 + 0*s**d - 1/75*s**6 - 1/50*s**5. Determine y, given that a(y) = 0.
-1, 0, 1
Suppose 0 = -n + 5*r + 2, -3*r - 2*r + 2 = n. Let v(y) be the second derivative of -20/3*y**3 + 4*y**n + 2*y + 23/6*y**4 + 0 - 7/10*y**5. Factor v(q).
-2*(q - 2)*(q - 1)*(7*q - 2)
Let f be -2*3/(108/3). Let s = f + 2/3. Factor 3/4*x + s + 1/4*x**2.
(x + 1)*(x + 2)/4
Let n(l) be the second derivative of 0 - l - 1/12*l**3 + 0*l**2 - 1/40*l**5 + 1/12*l**4. Suppose n(s) = 0. What is s?
0, 1
Let r = 2/21 - -74/105. Find x, given that 0 - r*x - 2/5*x**2 = 0.
-2, 0
Determine k so that -k**2 + k + 1/3*k**3 - 1/3 = 0.
1
Let y(j) be the third derivative of 0*j - 3*j**2 - 1/15*j**3 + 1/150*j**5 + 0 + 0*j**4. Factor y(f).
2*(f - 1)*(f + 1)/5
Let j(q) be the third derivative of -q**6/90 + q**5/45 + q**4/18 - 2*q**3/9 + 17*q**2. Suppose j(u) = 0. Calculate u.
-1, 1
Let o be 4/26 + (-24)/156. Let h(a) be the first derivative of 2/5*a**4 + 1/5*a**2 - 2 + o*a - 2/3*a**3. Determine i so that h(i) = 0.
0, 1/4, 1
Let w(l) be the second derivative of -l**8/40320 - l**7/7560 + 3*l**4/4 - 2*l. Let p(x) be the third derivative of w(x). Factor p(u).
-u**2*(u + 2)/6
Let p(m) be the second derivative of -7*m + 1/2*m**2 - 1/6*m**3 - 1/16*m**4 + 0 - 1/120*m**6 + 1/20*m**5. Suppose p(b) = 0. Calculate b.
-1, 1, 2
Factor 1/4*x**2 + 3/2*x - 1/8*x**4 - 3/8*x**3 + 1.
-(x - 2)*(x + 1)*(x + 2)**2/8
Let b(u) be the first derivative of 21*u**5/5 - 249*u**4/16 + 51*u**3/4 + 3*u**2 - 3*u - 9. Solve b(z) = 0.
-2/7, 1/4, 1, 2
Let b(s) = s**2 - 13*s - 9. Let v(c) = -12*c - 8. Let f(z) = -4*b(z) + 5*v(z). Factor f(u).
-4*(u + 1)**2
Determine f, given that 1/3*f**3 + 0 + 0*f**2 - 1/3*f = 0.
-1, 0, 1
Let j = 40 - 34. Let l(b) be the second derivative of 0*b**3 + 3*b + 1/25*b**j + 0*b**2 - 3/50*b**5 - 1/105*b**7 + 1/30*b**4 + 0. Factor l(g).
-2*g**2*(g - 1)**3/5
Find d, given that 5*d**3 - 8*d**4 + 0*d + 3*d**4 + d**2 - 5*d + 4*d**2 = 0.
-1, 0, 1
Let h(w) be the first derivative of 1/7*w**3 + 9/28*w**4 - 6/7*w + 5 - 9/14*w**2 + 3/35*w**5. Factor h(n).
3*(n - 1)*(n + 1)**2*(n + 2)/7
Let c(l) = -4*l**4 - 6*l**2 - 4. Let o(p) = -p**4 - 2*p**2 - 1. Let g(v) = -v**3 + v - 1. Let j be g(2). Let k(t) = j*o(t) + 2*c(t). Factor k(h).
-(h - 1)**2*(h + 1)**2
Let h(u) = -u**2 - 4*u - 2. Let i be h(-2). Factor -4*n + 3*n**3 - i*n**2 + 2*n**3 + 3*n**3 - 6*n**3.
2*n*(n - 2)*(n + 1)
Let v(t) = t**5 + 24*t**4 + 11*t**3 - 24*t**2 - 24*t - 4. Let p(f) = f**5 - f**4 + f**3 + f**2 + f + 1. Let z(y) = 4*p(y) + v(y). Suppose z(g) = 0. What is g?
-2, -1, 0, 1
Let h = 15/34 - 383/714. Let f = h + 3/7. Factor -1/3*b**2 + 0*b + 0 + f*b**3.
b**2*(b - 1)/3
Let p(s) be the third derivative of 1/10*s**5 + 0 + s**2 + 1/4*s**4 + 1/3*s**3 + 1/60*s**6 + 0*s. Suppose p(a) = 0. Calculate a.
-1
Let l(n) = -n**5 + 1. Let i(g) = -6*g**5 + 2*g**4 - 2*g**2 + g + 5. Let d(f) = 4*i(f) - 20*l(f). Factor d(w).
-4*w*(w - 1)**3*(w + 1)
Factor 15/2*v**3 - 5*v**2 + 0 + 0*v - 5/2*v**4.
-5*v**2*(v - 2)*(v - 1)/2
Factor 1/2*o**5 + 0 - 3/2*o**3 + o - 1/2*o**2 + 1/2*o**4.
o*(o - 1)**2*(o + 1)*(o + 2)/2
Factor -4*x**2 + 6*x - 2*x - 3*x + 3*x**2.
-x*(x - 1)
Let y(d) be the second derivative of 2*d**6/5 + 9*d**5/20 - 5*d**4/4 - 3*d**3/2 + 3*d**2/2 + d. Factor y(z).
3*(z - 1)*(z + 1)**2*(4*z - 1)
Let n(j) be the first derivative of -j**4/14 - 2*j**3/7 - 20. Factor n(l).
-2*l**2*(l + 3)/7
Let z = -1/533 + 1087/11193. Let u(k) be the first derivative of 0*k**2 + 0*k - 2 - z*k**3. Find j such that u(j) = 0.
0
Let f(g) = -4*g - 3. Let j be f(-2). Suppose -2*k = -j*k. Find b such that -b**4 + 4*b**2 + k*b**2 + b**5 - b**3 - 2*b**2 - b**2 = 0.
-1, 0, 1
Let x = 3 + -26. Let w = x + 70/3. Find l such that l**2 - 2/3 - 1/3*l**4 + w*l**3 - 1/3*l = 0.
