d - -65/2. Factor 1/4*a**2 - k - 1/4*a.
(a - 2)*(a + 1)/4
Let d(c) = c + 16. Let h be d(-14). Factor 0 + 8/3*q**h + 15*q**3 - 4/3*q.
q*(5*q + 2)*(9*q - 2)/3
Let a(w) be the first derivative of -2/7*w**2 - 3 + 2/21*w**3 + 0*w. Solve a(n) = 0.
0, 2
Suppose -3*g - s = -2, s + 3*s = 2*g - 20. Let x(v) be the second derivative of 0*v**g + 1/6*v**4 - 2*v + 0 + 1/3*v**3. Determine b, given that x(b) = 0.
-1, 0
Let y(j) = -17*j**4 + 54*j**3 - 66*j**2 - 5*j + 19. Let n(p) = 9*p**4 - 27*p**3 + 33*p**2 + 3*p - 9. Let c(s) = 5*n(s) + 3*y(s). Determine q so that c(q) = 0.
-1/2, 1, 2
Suppose 4*l = 5*f - 0*l - 20, -l - 20 = -5*f. Factor -2*q**4 - 14*q - 26*q**3 - 3*q**4 - 2 - 3*q**4 + 0*q**f - 30*q**2.
-2*(q + 1)**3*(4*q + 1)
Let r = -154 - -158. Suppose -8/3 + 8*s - 2/3*s**r - 26/3*s**2 + 4*s**3 = 0. What is s?
1, 2
Let r(w) be the first derivative of -w**5/40 + 11*w + 6. Let q(b) be the first derivative of r(b). What is o in q(o) = 0?
0
Find l, given that -2*l**2 + 4*l**3 + l**3 - 3*l**3 - 2*l**2 = 0.
0, 2
Let b(z) be the first derivative of 5*z**4/4 + 40*z**3/3 + 35*z**2/2 + 10. Suppose b(p) = 0. Calculate p.
-7, -1, 0
Factor -1200*i**2 + 960*i + 500*i**3 - 105 - 4 - 147.
4*(5*i - 4)**3
Let g(p) be the third derivative of p**6/120 - p**5/20 + p**4/24 + p**3/3 + 2*p**2. Let u be g(2). Let u - 4/3*y + 0*y**2 + y**3 + 1/3*y**4 = 0. Calculate y.
-2, 0, 1
Suppose 9 = 3*w - 0*w. Suppose c = w*t + t - 25, -t - c = 0. Factor 3*v**5 + v**4 - v**t + v**3 - v**2 - 3*v**5.
-v**2*(v - 1)**2*(v + 1)
Let g(n) = -3*n - 10. Let u be g(-5). Let f be 1 - (-4)/(-3) - -2. What is o in -10/3*o**3 - 1/3*o**u + 5/3*o**4 - f*o + 1/3 + 10/3*o**2 = 0?
1
Let r be 33/7 - (-12)/42. Let 0 + 0*w - 5/2*w**4 - 7/2*w**r + w**3 + 0*w**2 = 0. What is w?
-1, 0, 2/7
Let z = -81/2 - -41. Solve 1/4*w**3 - z*w**2 + 1/4*w + 0 = 0 for w.
0, 1
Let h(s) = -s**2 + 6*s - 3. Let o be h(3). Suppose -3*w + 0*w = -o. Find t, given that -w*t + t**5 - 4*t + 7*t - 2*t**3 = 0.
-1, 0, 1
Let m = 121 - 3266/27. Let b(c) be the third derivative of -1/270*c**5 + 0 - 1/540*c**6 + c**2 + 1/108*c**4 + 0*c + m*c**3. Suppose b(q) = 0. Calculate q.
-1, 1
Let m(t) be the second derivative of 0 + 0*t**2 + 1/45*t**6 + 1/6*t**4 - 6*t - 1/9*t**3 - 1/10*t**5. Factor m(f).
2*f*(f - 1)**3/3
Let p(a) = a**2 + 8*a + 10. Let z be p(-7). Let i(x) be the first derivative of -2 + 0*x - x**2 - 2/3*x**z. Let i(t) = 0. Calculate t.
-1, 0
Let t(l) be the first derivative of l**4/4 - 2*l**3/3 - 3*l**2/2 + 32. Factor t(o).
o*(o - 3)*(o + 1)
Let m(t) be the first derivative of -4*t**5/5 - 3*t**4 - 8*t**3/3 - 2. Factor m(k).
-4*k**2*(k + 1)*(k + 2)
Suppose 0 = p + c + 1, -4*p + c - 2*c - 1 = 0. Find q, given that 2*q**2 + p + 2/3*q**4 - 2/3*q - 2*q**3 = 0.
0, 1
Let x(k) be the second derivative of 1/2*k**2 - 2*k + 0 + 0*k**3 - 1/12*k**4. Let m(f) = -3*f**2 + 3. Let b(y) = m(y) - 4*x(y). Suppose b(r) = 0. What is r?
-1, 1
Solve 56*f**3 + 5*f - 3*f**2 + 6*f + 6*f**5 - 77*f**3 - 3*f**4 + 6 + 4*f = 0.
-1, -1/2, 1, 2
Let i(l) be the second derivative of 2*l**6/15 - l**5/10 - l**4/6 - 13*l. Factor i(h).
2*h**2*(h - 1)*(2*h + 1)
Suppose -5*v + 27 = 7*y - 0, y + 4*v - 17 = 0. Let -a + 1/4*a**2 + y = 0. What is a?
2
Let q(s) be the third derivative of 0 + 0*s**4 + 0*s + 1/60*s**6 - 1/10*s**5 + 4/3*s**3 + s**2. Factor q(r).
2*(r - 2)**2*(r + 1)
Let s(z) = -z + 5. Let m be s(4). Let y be 1/((-4)/(-3) - m). Factor y - 8*n - 13*n**2 - 4 - 3*n**2.
-(4*n + 1)**2
Let 4/9*g - 4/3*g**2 + 0 = 0. Calculate g.
0, 1/3
Factor -7*d**2 + 4 + 8*d + 20*d**2 - 9*d**2.
4*(d + 1)**2
Let y(u) be the third derivative of -u**7/2520 + u**6/360 - u**5/180 + 2*u**3/3 + u**2. Let m(h) be the first derivative of y(h). Factor m(t).
-t*(t - 2)*(t - 1)/3
Suppose -4*j - 3*z - 7 = 0, -3*j + z = 5*z + 14. Suppose g**j + 0*g**2 - g**3 - 3*g**2 - g = 0. Calculate g.
-1, 0
Suppose -8 = -4*n + 2*n. Factor 4*o**3 - 10*o**n - 4*o**3 - 2*o**5 + 12*o**4.
-2*o**4*(o - 1)
Let a(y) = -y**2. Let k = 4 - 8. Let z(m) = -m + 6*m**2 + 0*m + 0*m - m. Let b(o) = k*a(o) - z(o). Factor b(q).
-2*q*(q - 1)
Let y be 1 + 4 + (-6 - -3). Find u, given that u - 6*u - 3 + 3*u**y + u + u + 3*u**3 = 0.
-1, 1
Let u be 2 + 3 + (-1943)/465. Let j = u + -2/93. Suppose -1/5*p**2 - 4/5*p - j = 0. What is p?
-2
Suppose 2*z - 110 + 18 = 0. Let u = -228/5 + z. Solve u - 2/5*k**2 + 0*k = 0 for k.
-1, 1
Suppose 0 = 4*s - 2*o - o - 20, -5*s = -o - 14. Suppose -3*g + s = 2*p, -3*p = -3*g + 2*g + 8. Suppose -1/2 - 7/2*n**g - 11/4*n = 0. Calculate n.
-1/2, -2/7
Suppose -7*r = -9 - 40. Let d(o) be the third derivative of 0*o**6 + 0*o**3 + 0*o**5 + 0*o**4 + 0*o + o**2 + 0 + 1/315*o**r - 1/504*o**8. Factor d(z).
-2*z**4*(z - 1)/3
Factor 0 + 2/3*r**3 + 128/3*r + 32/3*r**2.
2*r*(r + 8)**2/3
Let g(m) be the first derivative of m**8/2520 + m**7/630 + m**6/540 + m**3 + 1. Let q(b) be the third derivative of g(b). Let q(x) = 0. Calculate x.
-1, 0
Let x(o) be the first derivative of 6*o + 3 + 3*o**3 - 3/5*o**5 + 3/4*o**4 - 15/2*o**2. Determine j so that x(j) = 0.
-2, 1
Suppose 4*g + 4*b = 12 + 8, 4*g = -5*b + 25. Factor g*m**3 - m**2 - m**3 + 2*m**3 + 2*m**2.
m**2*(m + 1)
Let r = 96 - 93. Let -1/3 - d**2 - 1/3*d**r - d = 0. What is d?
-1
Let o(l) = -12*l**3 + 19*l**2 - l - 8. Let s(k) = 12*k**3 - 18*k**2 + k + 9. Let q(u) = 7*o(u) + 6*s(u). Factor q(x).
-(x - 2)*(3*x - 1)*(4*x + 1)
Let h = -10 - -11. Solve -3*w**3 - 12*w**2 - 15*w - 5 + 3 + h - 5 = 0 for w.
-2, -1
Let i be (4*4/(-56))/(2/(-28)). Factor -w**2 + 3/2*w**i - 1/2*w**5 - w**3 - 1/2 + 3/2*w.
-(w - 1)**4*(w + 1)/2
Let v(n) be the second derivative of n - 1/210*n**7 + 1/50*n**5 + 0 - 1/30*n**3 - 1/30*n**4 + 1/150*n**6 + 1/10*n**2. Find q such that v(q) = 0.
-1, 1
Suppose -5*i + 6 = 3*x, 4*i = 6*i + 4*x + 6. Suppose i*w = -0*w. Factor -6/7*o**3 + w*o + 4/7*o**2 - 10/7*o**4 + 0.
-2*o**2*(o + 1)*(5*o - 2)/7
Suppose 0 = -5*u + 8 + 7. Let d(a) be the first derivative of 1/4*a**3 + 0*a**2 - u - a - 1/16*a**4. Factor d(c).
-(c - 2)**2*(c + 1)/4
Let o be (3/54)/(2/56). Find q, given that 4/9 + 2/3*q**2 - o*q = 0.
1/3, 2
Suppose 0*n = -4*n - 240. Let h = -239/4 - n. Factor -h*o**2 + 0 + 0*o.
-o**2/4
Let d(v) be the first derivative of 2/3*v**2 - 1/6*v**4 - 2/9*v**3 - 2 + 0*v. Factor d(t).
-2*t*(t - 1)*(t + 2)/3
Let x(q) be the first derivative of -q**4/2 - 4*q**3/3 - q**2 + 8. Factor x(i).
-2*i*(i + 1)**2
Let i(x) = 3*x**2 - x + 5. Let h be i(0). Factor 0 + 0*v**2 + 0*v**4 - 1/3*v**h + 0*v + 0*v**3.
-v**5/3
Let w(i) = i**2 - 25*i + 27. Let k be w(24). Let t(g) be the second derivative of 0 + 4/3*g**2 + 1/18*g**4 + 3*g - 4/9*g**k. Factor t(u).
2*(u - 2)**2/3
Let n(d) = d**3 - 5*d**2 - 7*d + 4. Let q be n(6). Let a be (-52)/(-20) + q/(-5). Factor 3*t**a + 45 - 45.
3*t**3
Let k(s) = -3*s - 2. Suppose 0 = 2*b + 4 - 0. Let j be k(b). Suppose j*r - 2 + 2*r - 2*r**2 - 2 = 0. What is r?
1, 2
Let z be (-115)/(-46)*(-2)/(-10). What is s in -z*s**3 - 1/2*s - s**2 + 0 = 0?
-1, 0
Factor -433 - f**4 + 433 + f**5.
f**4*(f - 1)
Let h(i) be the first derivative of 3*i**5/35 + 29*i**4/28 + 30*i**3/7 + 48*i**2/7 + 32*i/7 + 19. Factor h(r).
(r + 1)*(r + 4)**2*(3*r + 2)/7
Suppose -9 = -3*j + 3*s, -2*j + 5*j - 17 = -s. Determine u so that 0*u**2 + 2*u**j - 1/2*u**3 + 0 + 0*u - 3/2*u**4 = 0.
-1/4, 0, 1
Let m(c) = -19*c + 10 - 25*c**3 + 28*c**2 - 1 + 8*c**3 + 7*c**2. Let f(n) = -6*n**3 + 12*n**2 - 6*n + 3. Let o(p) = -8*f(p) + 3*m(p). Factor o(i).
-3*(i - 1)**3
Let u(y) = -8*y**3 - 9*y**2 + 9*y + 5. Let m(w) = -4*w**3 - 4*w**2 + 5*w + 3. Let h(l) = 5*m(l) - 3*u(l). Let h(o) = 0. What is o?
-2, 0, 1/4
Let y(h) be the second derivative of h**5 - h**4/3 - 10*h**3/3 + 2*h**2 - 12*h. Factor y(l).
4*(l - 1)*(l + 1)*(5*l - 1)
Factor 18/5*i - 3/5*i**2 - 27/5.
-3*(i - 3)**2/5
Let q(m) = -m**3 - m**2 + m. Let b be q(1). Let v be b + -1 - (-110)/35. Factor -v*k + 0*k**2 + 2/7*k**4 + 0 + 6/7*k**3.
2*k*(k - 1)*(k + 2)**2/7
Suppose -3*d**2 - 3/2*d**5 + 3*d**4 + 0*d + 3/2*d**3 + 0 = 0. Calculate d.
-1, 0, 1, 2
Factor 2/9*j**4 + 0*j**3 - 2/9*j**2 + 0*j + 0.
2*j**2*(j - 1)*(j + 1)/9
Let w(k) = -k**3 + 8*k**2 + k - 8. Let l be w(8). Factor -1/5*b**5 - 1/5*b + 0 + 0*b**2 + l*b**4 + 2/5*b**3.
-b*(b - 1)**2*(b + 1)**2/5
Factor -3/2*s + 3 + 9/2*s**3 - 6*s**2.
3*(s - 1)**2*(3*s + 2)/2
Let h be 33/(-7) - (-4)/(-14). Let b(d) = 2*d**