
Let d be -1 - (-6 - 1)*1. Let g(b) = -b**2 + 6*b + 3. Let l be g(d). Factor -4*r**4 + 0 - r**5 + 0 - 2*r**l - r**5.
-2*r**3*(r + 1)**2
Let h(k) = k + 3. Let l(x) = -1. Let g(j) = -h(j) - 6*l(j). Let v be g(0). Suppose q**3 + v*q**3 - 2*q**3 + 2*q**2 = 0. Calculate q.
-1, 0
Let b(x) be the third derivative of -x**6/1260 - x**5/70 - 3*x**4/28 + x**3/6 + x**2. Let z(s) be the first derivative of b(s). Factor z(w).
-2*(w + 3)**2/7
Suppose 0 = 3*n - 4 - 8. Let c(b) be the first derivative of 1/3*b**3 + 1/4*b**n - 1/6*b**6 + 0*b**2 + 0*b - 2 - 1/5*b**5. Factor c(f).
-f**2*(f - 1)*(f + 1)**2
Let a = 583 - 578. Let 0*l + 1/2*l**a + 1/2*l**4 + 0 - 1/2*l**3 - 1/2*l**2 = 0. Calculate l.
-1, 0, 1
Let r = 95/412 + 2/103. Factor -r*t**4 + 0*t**3 + 1/4*t**2 + 0 + 0*t.
-t**2*(t - 1)*(t + 1)/4
Let l(x) be the first derivative of x**4/6 + 8*x**3/9 + 4*x**2/3 - 4. Suppose l(c) = 0. Calculate c.
-2, 0
What is u in 0 + 0*u - 2/7*u**4 - 4/7*u**3 - 2/7*u**2 = 0?
-1, 0
Suppose -3*m + 4*r = r, m + 4*r = 20. Let w(p) be the first derivative of 0*p**2 + 0*p + 1/30*p**6 + 1/20*p**m + 0*p**3 - 2 - 2/25*p**5. Factor w(f).
f**3*(f - 1)**2/5
Let f(h) be the second derivative of 3*h**5/140 - 3*h**4/28 + h**3/7 + h. Suppose f(j) = 0. Calculate j.
0, 1, 2
Find t, given that 1/4*t**3 - 1/4*t - 1/4 + 1/4*t**2 = 0.
-1, 1
Let x(z) be the second derivative of -z**4/12 - 5*z**3/6 - 3*z**2 - 16*z. Factor x(u).
-(u + 2)*(u + 3)
Let v(r) = 4*r**3 - r**3 - 11*r - 13*r**2 + 6*r**3. Suppose 14 - 3 = -x. Let p(c) = -5*c**3 + 7*c**2 + 6*c. Let m(d) = x*p(d) - 6*v(d). Factor m(f).
f**2*(f + 1)
Let g(k) be the third derivative of 0*k - 1/112*k**8 + 0*k**4 + 0 + 3*k**2 + 1/35*k**7 - 1/40*k**6 + 0*k**3 + 0*k**5. What is l in g(l) = 0?
0, 1
Let n(z) be the second derivative of z**5/270 - z**4/18 + z**3/3 - 3*z**2 + 2*z. Let s(r) be the first derivative of n(r). Find q, given that s(q) = 0.
3
Let c = -31 - -37. Let w(f) be the second derivative of 0 + 0*f**4 + 0*f**3 - f - 1/50*f**c + 0*f**2 + 2/35*f**7 + 0*f**5. Find y, given that w(y) = 0.
0, 1/4
Let r be ((-6)/(-5))/(27/90). Suppose 2*g = -r*c - 0*g + 6, c = -2*g + 6. Solve -1/2 + c*u**2 + u**3 - u + 1/2*u**4 = 0.
-1, 1
Factor -5/2*g - 3 + 1/2*g**2.
(g - 6)*(g + 1)/2
Factor -2/5*l**3 + 2/15*l**5 - 2/15*l**4 + 2/3*l**2 + 0 - 4/15*l.
2*l*(l - 1)**3*(l + 2)/15
Factor 12*k**4 - 7*k**2 - 22*k**4 + 14*k**4 + 3*k**2 - 2*k**5 + 2*k.
-2*k*(k - 1)**3*(k + 1)
Factor 6*m**2 - 3*m**5 - 3*m**4 + 9*m**3 + 17*m**2 - 8*m**2 + 6*m.
-3*m*(m - 2)*(m + 1)**3
Let 0*l**2 + 4/7 - 2/7*l**3 + 6/7*l = 0. Calculate l.
-1, 2
Let t(g) be the third derivative of g**6/40 - g**5/5 + g**4/2 - 16*g**2. Let t(q) = 0. Calculate q.
0, 2
Let m(y) = -6*y - 1. Let d be m(-1). Factor 3*k**4 + 3*k**5 - 2*k**2 - 6*k**d + 3*k**3 - k**2.
-3*k**2*(k - 1)**2*(k + 1)
Let s = -3/2 - -21/10. Factor 6/5 + s*z - 3/5*z**2.
-3*(z - 2)*(z + 1)/5
Let x(h) be the first derivative of -5*h**3/3 + 10*h**2 - 15*h - 34. Factor x(c).
-5*(c - 3)*(c - 1)
Let x(k) be the first derivative of k**8/84 - k**6/10 - 2*k**5/15 - 3*k**2/2 + 3. Let o(i) be the second derivative of x(i). Factor o(f).
4*f**2*(f - 2)*(f + 1)**2
Suppose 0*w**3 + 1/5*w**4 + 0*w**2 - 1/5*w**5 + 0 + 0*w = 0. Calculate w.
0, 1
Let d(t) be the first derivative of 6/5*t - 3/10*t**2 + 6 - 3/5*t**3. Solve d(w) = 0 for w.
-1, 2/3
Let -308/5*h**3 + 264/5*h**2 - 196/5*h**4 + 208/5*h + 32/5 = 0. What is h?
-2, -2/7, 1
Let z = -1 - -4. Factor 8*d - 5*d + 0*d**3 - d**z - 2*d.
-d*(d - 1)*(d + 1)
Let 9/2*o**2 + 3 + 15/2*o = 0. Calculate o.
-1, -2/3
Let t(x) be the third derivative of x**8/840 + x**7/210 - x**5/30 - x**4/12 + x**3/2 + 2*x**2. Let l(m) be the first derivative of t(m). Factor l(g).
2*(g - 1)*(g + 1)**3
Let p = 16 - 12. Factor 4*i - 3*i**3 - i**p + 3*i**2 - 3*i - 2*i**2 + 2*i**3.
-i*(i - 1)*(i + 1)**2
Let j(s) be the second derivative of 1/33*s**3 - 1/231*s**7 + 0*s**2 + 2*s + 0 + 1/33*s**4 + 0*s**5 - 2/165*s**6. What is w in j(w) = 0?
-1, 0, 1
Let b be 2/(-6)*-1*0. Let c(a) = -9 - 2*a**3 + 4*a + 1 + 8*a**2 - 2*a**3 + b. Let v(x) = -5*x**3 + 9*x**2 + 5*x - 9. Let s(z) = -7*c(z) + 6*v(z). Factor s(u).
-2*(u - 1)*(u + 1)**2
Let i(g) = g**3 - 11*g**2 - 40*g - 28. Let y be i(14). Determine m, given that -1/3*m**4 + 0 - 4/3*m + m**3 + y*m**2 = 0.
-1, 0, 2
Factor 7/3*h**3 - 2/3*h**4 + 2/3*h - 7/3*h**2 + 0.
-h*(h - 2)*(h - 1)*(2*h - 1)/3
Let l(i) be the second derivative of -i**7/42 - i**6/15 + i**4/6 + i**3/6 - 2*i. Factor l(b).
-b*(b - 1)*(b + 1)**3
Let o be (-1)/5 + 1568/(-60). Let f = 27 + o. What is g in 2/3*g**2 + f*g - 4/3 = 0?
-2, 1
Let s(g) = -6*g**3 - 16*g**2 - 14*g - 4. Let z(b) = 9*b**3 + 24*b**2 + 21*b + 6. Let c(x) = -7*s(x) - 5*z(x). Find y, given that c(y) = 0.
-1, -2/3
Let o be 3/2*(-8)/(-6). Let -g - o*g + g**2 - 2*g**2 - 4 - g = 0. Calculate g.
-2
Let k be -2*(1 - (-18)/(-16)). Let s = -13 + 53/4. Find f such that 1/4*f**2 + s*f - 1/4*f**3 - k = 0.
-1, 1
Let h(t) = -11*t**3 - 36*t**2 - 53*t - 28. Let j(a) = -a**4 + a**3 - a + 1. Let d(y) = h(y) + j(y). Determine v, given that d(v) = 0.
-3, -1
Let g(t) be the first derivative of -3*t**5/20 + 3*t**3/4 + 3*t**2/4 + 4. Factor g(o).
-3*o*(o - 2)*(o + 1)**2/4
Let j(z) be the first derivative of z**3/27 + 5*z**2/18 + 4*z/9 - 23. Factor j(d).
(d + 1)*(d + 4)/9
Let c(q) be the third derivative of q**7/280 + q**6/120 - q**5/240 - q**4/48 - 19*q**2. Suppose c(r) = 0. Calculate r.
-1, 0, 2/3
Let u be (11/22)/(1 - 0). Let y be (-8)/(-3) + (-10)/15. Find g, given that g**y + u*g + 0 + 1/2*g**3 = 0.
-1, 0
Let r(v) be the first derivative of 9*v**4/20 + 14*v**3/5 + 12*v**2/5 - 16. Factor r(c).
3*c*(c + 4)*(3*c + 2)/5
Let t(o) be the first derivative of -o**6/3 + 2*o**5 - 5*o**4 + 20*o**3/3 - 5*o**2 + 2*o - 4. Factor t(m).
-2*(m - 1)**5
Suppose 5*h - 4 = h. Let n be (-3)/(-5)*(6 - h). Solve -w**n - 4*w + 3*w + 0*w**2 + 2*w**2 = 0 for w.
0, 1
Let n = 2 + -4. Let j be (6/(-4))/(1/n). Factor -t**3 + j*t + 2*t - 4*t.
-t*(t - 1)*(t + 1)
Let u(a) be the first derivative of -a**4/54 - 4*a**3/27 - 4*a**2/9 + 4*a - 1. Let m(v) be the first derivative of u(v). Solve m(r) = 0.
-2
Let n = -1 - -6. Let m(h) be the first derivative of -1/27*h**6 - 2/27*h**3 + 0*h + 2 + 0*h**2 - 2/15*h**n - 1/6*h**4. Factor m(l).
-2*l**2*(l + 1)**3/9
Suppose 2*r = -2*r - 16. Let j be (2 + r)*1/(-5). Factor -4/5 - j*c**2 + 6/5*c.
-2*(c - 2)*(c - 1)/5
Let u = -60 - -62. Let l = -1 - -5/3. Factor -2/3*r**u + 0 + l*r.
-2*r*(r - 1)/3
Let i(o) be the third derivative of 0*o**4 + 0*o**3 - 1/240*o**5 + 0 + 1/160*o**6 - 1/280*o**7 + 5*o**2 + 0*o + 1/1344*o**8. Suppose i(f) = 0. Calculate f.
0, 1
Let j(y) be the second derivative of -y**5/10 + 5*y**4/6 - y**3 - 9*y**2 - 5*y. Let j(t) = 0. Calculate t.
-1, 3
Suppose 0 = y - 5*p + 2 + 6, -2*y - 4*p - 44 = 0. Let l be 4/y - 20/(-9). What is m in m**3 + 2*m**3 - m - l + 0*m + 4*m**2 = 0?
-1, 2/3
Let v**4 + 12*v + 880*v**3 + 4 + 7*v**2 + 6*v**2 - 874*v**3 = 0. What is v?
-2, -1
Factor 3*b**2 - 2/3*b - b**3 + 0 - 4/3*b**4.
-b*(b - 1)*(b + 2)*(4*b - 1)/3
Let w(i) be the first derivative of -2/7*i + 2/21*i**3 - 1/14*i**4 + 2 + 1/7*i**2. Suppose w(o) = 0. Calculate o.
-1, 1
Let f be -16*9/(-10) + 1. Let l = -15 + f. Suppose -l*h + 2/5*h**3 + 0 + 0*h**2 = 0. Calculate h.
-1, 0, 1
Let z(o) be the first derivative of -7*o**5/40 + o**4/12 + 7*o**3/12 - o**2/2 - 3*o - 2. Let n(f) be the first derivative of z(f). What is b in n(b) = 0?
-1, 2/7, 1
Let l(x) be the first derivative of 4*x**3/3 + 20*x**2 - 44*x - 48. Find q, given that l(q) = 0.
-11, 1
Let i(f) be the second derivative of f**7/168 + f**6/120 - 3*f**5/80 - 5*f**4/48 - f**3/12 + 10*f. Factor i(y).
y*(y - 2)*(y + 1)**3/4
Let l(u) be the first derivative of 4 - 1/6*u**2 + 0*u - 1/9*u**3. Factor l(y).
-y*(y + 1)/3
Let c = 1 + -1. Let r be c - (-2 + -1 - 1). Factor 5*v**r + v**3 - 4*v**4 - 2*v**4.
-v**3*(v - 1)
Let y(g) be the second derivative of g**6/60 + g**5/40 - 5*g**4/24 + g**3/4 + 24*g. Factor y(u).
u*(u - 1)**2*(u + 3)/2
Let b be ((-5)/(-10))/(25/120). Factor 2/5 - b*l**2 + 42/5*l**4 - 6/5*l + 4*l**3 + 18/5*l**5.
2*(l + 1)**3*(3*l - 1)**2/5
Let c = 18 - 28. Let n be c/135*(0 + -3). Find s such that -n*s**2 - 2/9*s + 0 = 0.
-1, 0
Let l be (2 - 1)/(4/(-8)). Let d(s) be the first derivative of s**3/3 + 2*s**2 + s + 1. Let v(w) = -3*w**