e of -3*b**4/20 - 3*b**3/5 - 3*b**2/5 + 2. Factor x(o).
-3*o*(o + 1)*(o + 2)/5
Let c be ((-8)/(-7))/(6*(-4)/(-84)). Let s(y) be the second derivative of -2*y + 1/12*y**3 - 1/40*y**5 + 1/4*y**2 - 1/24*y**c + 0. Factor s(a).
-(a - 1)*(a + 1)**2/2
Let y(r) be the second derivative of -3*r**5/140 + 3*r**4/28 + 8*r. Let y(a) = 0. Calculate a.
0, 3
Let j be 4/10 - 13/(-5). Let v be (4/6*12)/j. Suppose g**3 + 4/3*g + 0 - v*g**2 = 0. What is g?
0, 2/3, 2
Let p(g) be the second derivative of 2*g + 0*g**4 - 1/2*g**2 + 1/180*g**5 - 1/18*g**3 + 0. Let j(l) be the first derivative of p(l). Factor j(m).
(m - 1)*(m + 1)/3
Let b(w) be the second derivative of w**9/7560 - w**8/1120 + w**6/90 + w**4/12 - w. Let i(f) be the third derivative of b(f). Find j such that i(j) = 0.
-1, 0, 2
Suppose -5*d - 30 + 30 = 0. Let b(c) be the second derivative of d*c**3 + 3*c + 0 + 0*c**2 - 1/36*c**4. Suppose b(s) = 0. What is s?
0
Let r = 50 + -36. Let k(l) = l**5 - l**3 - l. Let w(i) = -8*i**5 + i**4 + 8*i**3 - i**2 + 7*i. Let v(h) = r*k(h) + 2*w(h). Factor v(p).
-2*p**2*(p - 1)**2*(p + 1)
Let g(p) = p**3 - p**2 - p. Let l(s) = -2*s**4 + 17*s**3 - 7*s**2 - 17*s. Let n(b) = -18*g(b) + 2*l(b). Factor n(w).
-4*w*(w - 4)*(w - 1)*(w + 1)
Let l(p) be the first derivative of p**6/1260 + p**5/420 - p**4/42 - p**3 + 2. Let q(f) be the third derivative of l(f). Factor q(y).
2*(y - 1)*(y + 2)/7
Let u be (-3 + (-1 - 1))*4/(-10). Factor 4/5*z**u - 2/5*z - 2/5*z**5 - 2/5 + 4/5*z**3 - 2/5*z**4.
-2*(z - 1)**2*(z + 1)**3/5
Let c = -54 + 56. Suppose 0 = -3*x + x. Find g such that -4/7*g + x - 2/7*g**c = 0.
-2, 0
Let s(t) = 2*t**2 - t. Let u(z) = z**2. Suppose -v = 2*y + 3, 1 + 24 = v - 5*y. Let d be 8/v + (-2)/(-5). Let w(n) = d*s(n) - 3*u(n). Factor w(o).
o*(o - 2)
Factor a**4 - 4*a**4 - 10*a**5 - a**2 + 5*a**3 + a**5.
-a**2*(a + 1)*(3*a - 1)**2
Let y(v) be the third derivative of v**8/42 + v**7/21 - 19*v**6/60 + 7*v**5/30 + v**4/4 - 15*v**2. What is b in y(b) = 0?
-3, -1/4, 0, 1
Let p(v) = 3*v**4 + 2*v**3 - v**2. Let l(y) = y**4 - y**2. Let w(c) = 5*l(c) - p(c). Factor w(b).
2*b**2*(b - 2)*(b + 1)
Let o(u) = 4*u**2 - 2*u - 2. Let i(h) = -7*h**2 + 5*h + 3. Let q(n) = n**2. Let g(y) = -i(y) + q(y). Let k(f) = -2*g(f) + 5*o(f). Solve k(b) = 0 for b.
-1, 1
Let g = 79/134 - -14387/201. Let d = -72 + g. Factor d + 1/6*h**2 - 1/3*h.
(h - 1)**2/6
Suppose 3*t = 3*w - 12, -1 = 5*w + t - 27. Let m = w + -14/3. Factor -2/3*b - m*b**2 - 1/3.
-(b + 1)**2/3
Let b(x) be the first derivative of x**4/22 + 2*x**3/11 + 2*x**2/11 - 25. Factor b(s).
2*s*(s + 1)*(s + 2)/11
Suppose -4*k - 21 = -d, -k + 19 = 4*d - 4*k. Let a(o) be the first derivative of -o**2 + 1/3*o**3 - d + o. Determine s so that a(s) = 0.
1
Let i(o) be the first derivative of 0*o**2 + 1 - 1/5*o**5 + 0*o - 1/3*o**3 + 1/2*o**4. Factor i(t).
-t**2*(t - 1)**2
Factor -2*u**2 - 3*u**2 + u - 11*u - 5.
-5*(u + 1)**2
Let s(o) be the first derivative of 0*o + 1 - 2/7*o**2 + 2/21*o**3. Factor s(f).
2*f*(f - 2)/7
Let j = -7 + 12. Suppose j*y = 3 + 12. Factor -8*g**2 + 2*g**2 - g**3 + 8*g**2 + y*g**3.
2*g**2*(g + 1)
Determine f so that 0 - 3/5*f - 2/5*f**2 + f**3 = 0.
-3/5, 0, 1
Factor 34*n - 1965*n**4 + 1974*n**4 - 21*n**3 - 24 + 50*n - 30*n**2.
3*(n - 2)**2*(n + 2)*(3*n - 1)
Factor 0 + 3/2*f - 1/2*f**2.
-f*(f - 3)/2
Let i be (-5)/(-2)*4/15. Determine v, given that 0*v + 0 + 2/3*v**3 - i*v**2 = 0.
0, 1
Let c = -52 - -55. Let y(m) be the third derivative of -2/9*m**c + 1/45*m**5 + 2*m**2 + 0 - 1/36*m**4 + 0*m + 1/180*m**6. Factor y(f).
2*(f - 1)*(f + 1)*(f + 2)/3
Let u(l) be the second derivative of -19/100*l**5 + 7*l + 0*l**2 + 0 - 2/15*l**4 + 2/15*l**3 - 7/150*l**6. Suppose u(p) = 0. What is p?
-2, -1, 0, 2/7
Let o be 391 + 0 + (-9)/3. Let u = o + -1926/5. Find v, given that 42/5*v**3 - 4/5*v**4 + 8/5*v + 8*v**2 + 0 - u*v**5 = 0.
-1, -2/7, 0, 2
Solve -3/7*g**5 + 6/7*g - 3/7*g**3 - 9/7*g**2 + 0 + 9/7*g**4 = 0 for g.
-1, 0, 1, 2
Suppose -3*s + 1 = 4. Let h = s + 4. Find q, given that 0*q**3 + 2*q**2 + 0*q**h - q**3 = 0.
0, 2
Suppose -2*v - 48 = -0*v. Let k = -21 - v. Let 0 + 0*g - 3/2*g**k + 0*g**2 = 0. Calculate g.
0
Find m, given that 16*m**2 + 332*m + 18*m**5 + 48*m**4 - 165*m - 165*m + 44*m**3 = 0.
-1, -1/3, 0
Let c = 5/24 - -23/120. Let x(l) be the first derivative of -3 - 1/2*l**4 + 0*l + 2/9*l**3 + c*l**5 - 1/9*l**6 + 0*l**2. Solve x(a) = 0 for a.
0, 1
Let t(o) be the first derivative of o**5/5 - o**4/12 + o - 2. Let q(z) be the first derivative of t(z). Solve q(b) = 0.
0, 1/4
Suppose 4*b - 26 = -2*h, 2*b - 6 = -5*h + 19. Suppose -b*p + 11 = -9. Factor 2*q**2 + 12*q**4 - 2 - 6*q**p - 5*q + 6*q**3 + 5*q**3.
(q + 1)**2*(2*q + 1)*(3*q - 2)
Suppose -5*j - 28 = -8. Let z be 11/4 + j/(-16). Solve 6*d**4 + 2*d**4 - 2*d**z + 0*d + 0*d = 0 for d.
0, 1/4
Suppose 0 = 4*d, -5*h + 3*d + d + 45 = 0. Factor 4 + h*q - 2 - 7*q**4 - 9*q**3 - 15*q**2 + 20*q**2.
-(q - 1)*(q + 1)**2*(7*q + 2)
Suppose f - j = 12, -3*f + 2*j = -7*f + 54. Let a = 13 - f. Determine d, given that -6/5*d**3 + 0 + 2/5*d**2 + a*d = 0.
0, 1/3
Let j(n) be the third derivative of 1/210*n**7 + 0 + 0*n**4 + 0*n**3 + 3*n**2 + 0*n - 1/336*n**8 + 1/120*n**6 - 1/60*n**5. Factor j(w).
-w**2*(w - 1)**2*(w + 1)
Let d be (4/(-4) - -3) + (-1 - -2). Solve 0 - 2/5*v**d + 4/5*v**4 - 2/5*v**5 + 0*v**2 + 0*v = 0.
0, 1
Let r(w) be the first derivative of -w**4/4 - 5*w**3/3 - 2*w**2 + 3. Find q, given that r(q) = 0.
-4, -1, 0
Let j = 57 - 36. Let r be ((-9)/j)/((-6)/4). Factor -r*g**4 + 0 + 2/7*g - 2/7*g**3 + 2/7*g**2.
-2*g*(g - 1)*(g + 1)**2/7
Let w = 142 + -142. Let t = 13 + -9. Let w + 1/2*m**2 + m**3 + 1/2*m**t + 0*m = 0. What is m?
-1, 0
Let l(k) be the first derivative of -6 + 5 + k**3 - 2*k**3. Determine s, given that l(s) = 0.
0
Factor -3/5 - 3/5*j**2 + 6/5*j.
-3*(j - 1)**2/5
Let y(t) be the second derivative of 4*t + 0*t**3 + 1/3*t**4 + 0 + 1/10*t**5 + 0*t**2. Factor y(x).
2*x**2*(x + 2)
Suppose 2/5 + 0*j - 2/5*j**2 = 0. Calculate j.
-1, 1
Factor r**2 + r**3 + 27*r - 5 - 10*r**2 - 5 - 17.
(r - 3)**3
Let d(g) be the second derivative of 0 - 1/4*g**4 + 2/3*g**3 + 2*g**2 + 3*g. Factor d(o).
-(o - 2)*(3*o + 2)
Suppose -o = -3 + 1. Solve -2*m - 4*m**2 + 4*m**o + 7*m**2 - 2*m**2 - 2*m**3 = 0.
0, 1/2, 2
Factor -2/3*x**4 + 2/3 + 4/3*x**3 + 0*x**2 - 4/3*x.
-2*(x - 1)**3*(x + 1)/3
Let k be 1 + (-1)/(-3)*3. Find d, given that -6 + 64*d**5 - 2*d**k - 2*d**2 - 96*d**4 + 36*d**3 + 6 = 0.
0, 1/4, 1
Let x = -3/49 + 55/98. Find v such that 0*v**2 + 5/4*v**4 + 3/4*v**5 + 0 + x*v**3 + 0*v = 0.
-1, -2/3, 0
Let a(b) be the first derivative of b**8/2520 + b**7/1260 + b**3/3 - 5. Let w(s) be the third derivative of a(s). Factor w(u).
2*u**3*(u + 1)/3
Let j(f) be the first derivative of 0*f + 3 + f**3 + 3/2*f**2. Factor j(i).
3*i*(i + 1)
Let -y**3 + 3*y**5 + 2*y**4 - 1724*y**2 - 2*y**5 + 1722*y**2 = 0. What is y?
-2, -1, 0, 1
Let h(m) = 2*m - 14. Let r be h(7). Let 2/5*t**2 - 4/5*t + r = 0. Calculate t.
0, 2
Let p(o) = 10*o**2. Suppose -2*h = h - 15. Let j(v) = -19*v**2 + 25*v**2 - 10*v**2. Let y(c) = h*p(c) + 12*j(c). Solve y(m) = 0.
0
Let a = -83/10 - -44/5. Factor -1/2*l - a*l**2 + 0.
-l*(l + 1)/2
Let x(v) be the second derivative of v**5/10 - 2*v**4/3 - 16*v. Determine p, given that x(p) = 0.
0, 4
Let o = -43 - -29. Let v be o/(-6) + 4/6. Determine r so that 0 + 10*r**2 - 2 + 10 + 2*r**v + 16*r = 0.
-2, -1
Let u be (4/(-6))/(6/(-9)). Let v be (0 - u/6)/(-1). Let 0 + v*h**2 + 1/6*h**3 - 1/6*h - 1/6*h**4 = 0. Calculate h.
-1, 0, 1
Let y(h) be the third derivative of 0*h**4 - 3*h**2 - 1/2*h**3 + 0*h**5 + 0*h + 0 + 1/360*h**6. Let c(j) be the first derivative of y(j). Factor c(r).
r**2
Let s(p) be the first derivative of 3*p**5 + 10*p**4 + 35*p**3/3 + 5*p**2 + 17. Factor s(q).
5*q*(q + 1)**2*(3*q + 2)
Let x(f) be the second derivative of 4*f - f**2 + 1/60*f**5 - 1/120*f**6 + 0 - 1/6*f**3 + 1/24*f**4. Let k(m) be the first derivative of x(m). Factor k(i).
-(i - 1)**2*(i + 1)
Suppose 8*v + 21 = 45. Let q(y) be the third derivative of 0*y**v + 1/240*y**6 - 1/40*y**5 + 1/24*y**4 + 0 - 3*y**2 + 0*y. Factor q(z).
z*(z - 2)*(z - 1)/2
Let s be 1/12 - 30/(-24). Factor -2/3*z**4 + 4/3*z**3 - 2/3 + s*z**2 - 2/3*z - 2/3*z**5.
-2*(z - 1)**2*(z + 1)**3/3
Let t(x) = x + 1. Let d(c) = c**2 + 6*c + 5. Let a(n) = 4*d(n) - 12*t(n). Factor a(o).