+ 2)/6
Let i = 36 + -34. Let x(p) = p - 4. Let m be x(4). Suppose 1/3*v**i + m - 2/3*v = 0. Calculate v.
0, 2
Suppose -2*d + 0*d + u = 4, -3*d - 24 = 3*u. Let c = -2 - d. Factor -2/3*b**4 + 2/3*b + 2/3*b**c - 2/3*b**3 + 0.
-2*b*(b - 1)*(b + 1)**2/3
Let f(w) be the second derivative of -w**4/48 + 5*w**3/4 - 225*w**2/8 - 23*w. Determine u so that f(u) = 0.
15
Let q(y) be the first derivative of 2/35*y**5 + 1/7*y**2 + 3/14*y**4 - 7 + 0*y + 2/7*y**3. Factor q(b).
2*b*(b + 1)**3/7
Let c = 7 - 34. Let g be 4/(-10)*45/c. Find h, given that -7/3*h - 4/3*h**2 + g = 0.
-2, 1/4
Let h = -17 - -19. Let q(a) be the second derivative of 0*a**h + 1/90*a**5 + 0*a**4 - 1/27*a**3 + a + 0. Factor q(y).
2*y*(y - 1)*(y + 1)/9
Suppose 2*b + 5 - 13 = 0. Suppose -2*v = -2*i + 5*i - 1, -b*i + 6 = 5*v. Determine q so that -2*q**3 - 4 + 2*q - 1 + 3 + v*q**2 = 0.
-1, 1
Let a(i) be the third derivative of -i**10/37800 + i**9/3024 - i**8/1680 - i**7/140 + i**5/30 - 2*i**2. Let t(o) be the third derivative of a(o). Factor t(n).
-4*n*(n - 3)**2*(n + 1)
Let m(y) be the second derivative of y**7/945 - y**5/270 - y**2 - y. Let n(t) be the first derivative of m(t). Solve n(p) = 0 for p.
-1, 0, 1
Suppose -5*v + 3*v = 2. Let t be (-11)/(v*(-2 + 3)). Factor 12 + 49*p - 3*p**3 + 93*p**3 + 27*p**4 + 111*p**2 + t*p.
3*(p + 1)**2*(3*p + 2)**2
Let k(r) be the third derivative of -r**4/24 + 5*r**3/6 - 7*r**2. Let w be k(5). Find i, given that -2/5*i**4 - 6/5*i**3 + 2/5*i**2 + 0*i + w + 6/5*i**5 = 0.
-1, 0, 1/3, 1
Let t(k) be the third derivative of -k**8/504 + 2*k**7/315 + k**6/90 - 2*k**5/45 - k**4/36 + 2*k**3/9 + 10*k**2. Let t(b) = 0. What is b?
-1, 1, 2
Let m(q) be the second derivative of q**10/60480 - q**8/6720 + q**6/1440 - q**4/12 + 3*q. Let f(x) be the third derivative of m(x). Factor f(c).
c*(c - 1)**2*(c + 1)**2/2
Let d(s) = s**3 - 3*s**2 - 4*s. Let x be d(4). Suppose -z - 2*m - 8 = x, 4*z + 1 = 3*m + 24. Let 2*u + 6*u**3 + 1 - 4*u**4 + 6*u**4 + 6*u**z - 1 = 0. What is u?
-1, 0
Let s = -70 + 75. Let z(g) be the third derivative of 0 + 1/30*g**s - 1/24*g**4 + 0*g**3 + 0*g - 1/120*g**6 - g**2. Factor z(y).
-y*(y - 1)**2
Let d(n) be the second derivative of 0 - 1/5*n**2 + 5*n + 7/60*n**4 + 1/6*n**3. Factor d(l).
(l + 1)*(7*l - 2)/5
Find c, given that -3/4*c**2 - 3/2*c + 9/4 = 0.
-3, 1
Let o(h) be the first derivative of 33*h**3 - 34*h**3 - 2 - 4. Let o(w) = 0. What is w?
0
Let p(v) be the first derivative of -2*v**3/39 + v**2/13 + 4*v/13 - 3. Factor p(h).
-2*(h - 2)*(h + 1)/13
Let f be (40/65)/(-4) + 4/26. Factor f + 2/3*r**4 + 2/3*r**3 - 2/3*r - 2/3*r**2.
2*r*(r - 1)*(r + 1)**2/3
Solve 0*f + 3*f - 9 - f**2 - 7*f + 10*f = 0 for f.
3
Let q(s) be the first derivative of 3*s**5/40 - s**3/8 - 10. Factor q(i).
3*i**2*(i - 1)*(i + 1)/8
Let y(n) be the first derivative of -n**4/4 - 10*n**3/3 - 25*n**2/2 - 13. Factor y(o).
-o*(o + 5)**2
Suppose 0 = 3*d + 2*d - 10. Let g(b) = -b**2 - 16*b + 16. Let a(i) = 8*i - 8. Let p(l) = d*g(l) + 5*a(l). Let p(m) = 0. What is m?
2
Factor -2 - 3*d - 2*d**3 - 4*d**3 + 7*d**3.
(d - 2)*(d + 1)**2
Let z = 7 - -13. Suppose -6*g = -g - z. What is r in 2/3*r**3 + 4/3*r**2 + 0*r - 2/3*r**g + 0 = 0?
-1, 0, 2
Let v(l) be the third derivative of l**7/525 - l**6/60 + 3*l**5/50 - 7*l**4/60 + 2*l**3/15 - 4*l**2. Suppose v(b) = 0. What is b?
1, 2
Let n(m) be the first derivative of -2/5*m**2 - 1/25*m**5 + 9 - 8/15*m**3 - 1/4*m**4 + 0*m. Suppose n(h) = 0. Calculate h.
-2, -1, 0
Let w(m) = 4*m**2 - 13*m - 11. Let v(h) be the second derivative of h**4/6 - 7*h**3/6 - 3*h**2 + 4*h. Let a(g) = -11*v(g) + 6*w(g). What is o in a(o) = 0?
0, 1/2
Let y(t) be the second derivative of -t**7/273 + t**6/195 + t**5/65 - t**4/39 - t**3/39 + t**2/13 - 33*t. Solve y(d) = 0.
-1, 1
Let g be (-4)/(-12)*(-3)/21*-36. Factor 0 - 15/7*c**2 + g*c**3 + 3/7*c.
3*c*(c - 1)*(4*c - 1)/7
Find l, given that 2/3*l**2 - 1/6*l**3 + 1/3 - 5/6*l = 0.
1, 2
Let b(k) be the third derivative of k**8/40320 - k**7/5040 + k**6/1440 + k**5/60 + 3*k**2. Let r(i) be the third derivative of b(i). Let r(d) = 0. What is d?
1
Let o(q) = -2*q**2 - 6. Let u(i) = -i**2 - 5. Let m(t) = -5*o(t) + 6*u(t). Factor m(j).
4*j**2
Suppose -4/5*d + 0 + 2/5*d**2 = 0. What is d?
0, 2
Let h(o) be the second derivative of o**6/90 + o**5/15 + o**4/6 + 2*o**3/9 + o**2/6 - 14*o. Factor h(d).
(d + 1)**4/3
Let o be ((-20)/(-25))/4 - (-27)/15. Let -2/11*j**o + 4/11*j + 0 = 0. What is j?
0, 2
Let f(d) be the second derivative of -d**5/10 - 17*d**4/24 - 4*d**3/3 - 3*d**2/4 + 29*d. Suppose f(m) = 0. What is m?
-3, -1, -1/4
Suppose 0 = 8*q - 13*q - z + 19, -5*z = 3*q - 29. Factor 16/9 + 4/3*b**2 - 8/3*b - 2/9*b**q.
-2*(b - 2)**3/9
Factor 1/5*x**5 + 0 + 4/5*x - 3/5*x**2 + 3/5*x**4 - x**3.
x*(x - 1)**2*(x + 1)*(x + 4)/5
Let x = 752/3 + -250. Find u, given that 4/3*u**4 - 2/3*u - 4/3*u**2 + 0 + 0*u**3 + x*u**5 = 0.
-1, 0, 1
Suppose -10*f**2 + 6*f**2 + 3*f**2 + f**4 + 0*f**2 = 0. What is f?
-1, 0, 1
Let o be (-9)/(-12)*(-2)/(-27). Let t(g) be the second derivative of g + 0 + 0*g**2 + o*g**3 - 1/36*g**4. Factor t(q).
-q*(q - 1)/3
Let w(x) be the third derivative of -x**8/588 - 6*x**7/245 - x**6/15 + 34*x**5/105 + 5*x**4/14 - 50*x**3/21 + 23*x**2 - x. Solve w(b) = 0.
-5, -1, 1
Let k(h) be the third derivative of h**7/105 + h**6/180 - 7*h**2. Find u such that k(u) = 0.
-1/3, 0
Let d be (14/(-4) + 1)*(-28)/35. Let a(m) be the first derivative of 1 - 1/2*m**4 - 2*m**3 - d*m - 3*m**2. Factor a(l).
-2*(l + 1)**3
Suppose 4*g + 4*g - 5*g = 0. Factor -4/3*i**2 + g - 4/3*i**4 + 1/3*i + 2*i**3 + 1/3*i**5.
i*(i - 1)**4/3
Suppose 0*z - 4/3*z**2 - z**4 - 2*z**3 + 0 - 1/6*z**5 = 0. Calculate z.
-2, 0
Suppose -2*t + 215 = 3*t. Suppose 2*p + 5 = -3*f, -3 = 3*p - 5*f - t. Find d, given that 2 + 0 - p*d**3 - 13*d**2 + 7*d**4 + 4*d**2 + 5*d = 0.
-1, -2/7, 1
Suppose -5*q + 4 = -6. What is p in 4*p**3 - p**2 - p - 3*p**3 + q*p**4 - p**4 = 0?
-1, 0, 1
Let b be 28/(-49) + (-130)/(-105). Suppose -b*q**2 - 4/3*q - 2/3 = 0. What is q?
-1
Let b(h) be the second derivative of -h**7/49 + h**6/35 - 18*h. Factor b(w).
-6*w**4*(w - 1)/7
Suppose 0 = -3*o - 5*t, 0 = 4*t - 0*t. Let h(k) be the third derivative of 0*k**3 + 0*k**5 - k**2 + 1/480*k**6 - 1/96*k**4 + 0 + o*k. Factor h(g).
g*(g - 1)*(g + 1)/4
Suppose 3*p - 34 = -5*y, -p + 0*y = -y - 22. Suppose -2 + 0 = -i. Factor 6*a**2 + 9*a - 22*a**2 + 0 - 12*a**3 - i + 3*a + p*a**4.
2*(a - 1)*(a + 1)*(3*a - 1)**2
Let f = -4/969 - 24544/969. Let z = 26 + f. Factor z + 2/3*q**2 - 4/3*q.
2*(q - 1)**2/3
Suppose -4*c - 5 = -f - 2*f, -3*c + 5*f - 12 = 0. Let a be (-7)/35*(-2 + c). Find z, given that 0 - 1/5*z**4 + 1/5*z**2 - 1/5*z**3 + 0*z + a*z**5 = 0.
-1, 0, 1
Let m(w) be the first derivative of w**7/2940 - w**6/630 + w**5/420 + 5*w**3/3 - 5. Let l(i) be the third derivative of m(i). Factor l(j).
2*j*(j - 1)**2/7
Let l be ((-3)/(-1) + -2)*2. Suppose -2*i + l = 5*d - 1, i + 4*d = -3. Factor y**2 + 2*y**2 + y**5 + i*y**4 - 4*y**5 - 9*y**3.
-3*y**2*(y - 1)**3
Factor -3/2*s**2 - 1 + 5/2*s + 1/2*s**4 - 1/2*s**3.
(s - 1)**3*(s + 2)/2
Factor -4*d**4 - 6*d**2 + 2*d**2 + 19*d**3 - 11*d**3.
-4*d**2*(d - 1)**2
Factor -h**2 - 9*h**3 - 5*h**3 + 6*h**2 - 30*h**4 - 11*h**3.
-5*h**2*(h + 1)*(6*h - 1)
Let y(z) = -z**2 - z + 5. Let j(v) = -1. Let m(s) = -2*j(s) - 2*y(s). Let f(i) = 4*i**2 + 4*i - 15. Let q(r) = -4*f(r) + 7*m(r). Factor q(u).
-2*(u - 1)*(u + 2)
Let 2 - h**2 - 2 + 0*h - 2 + 3*h = 0. What is h?
1, 2
Suppose -3*t = -1 - 5. Suppose -4*s + 29 - 9 = 0, 0 = -t*k + 5*s - 25. Let 4*x + x**2 + 1 + k - 2*x = 0. Calculate x.
-1
Let z(b) be the third derivative of -b**6/180 + b**4/12 - b**3 + 7*b**2. Let v(x) be the first derivative of z(x). What is h in v(h) = 0?
-1, 1
Suppose 10*v**5 - 6*v**4 + 4*v**3 + 0*v - 8*v**5 + 0*v = 0. Calculate v.
0, 1, 2
Determine y so that 1/7*y**3 + 0 - 1/7*y**2 - 2/7*y = 0.
-1, 0, 2
Let y(n) be the second derivative of 1/18*n**4 + 0 + 1/36*n**3 - 1/3*n**2 - n - 1/120*n**5. Factor y(x).
-(x - 4)*(x - 1)*(x + 1)/6
Let z be 866/15 + 5/(-15). Let g = 59 - z. Let -8/5*y**4 + g*y - 8*y**2 + 0 + 34/5*y**3 = 0. What is y?
0, 1/4, 2
Let i(y) be the second derivative of y**6/120 + y**5/60 + y**2 - 3*y. Let j(h) be the first derivative of i(h). Factor j(b).
b**2*(b + 1)
Suppose g = 4, 5*d + 13*g - 10*g - 32 = 0. Determine r so that