2*m + 12, 0 = m - y - 3. Let 2*i**3 + i**2 + 0 + 1/4*i**5 + 5/4*i**4 + m*i = 0. Calculate i.
-2, -1, 0
Suppose -2*y + 20*y - 36 = 0. Factor -1/2 + 0*b + 1/2*b**y.
(b - 1)*(b + 1)/2
Suppose 2*j + 219 = -5*s, 3*s + 4*j - 2*j = -129. Let c be (24/s)/((-6)/15). Factor c + 2/3*a**2 - 2*a.
2*(a - 2)*(a - 1)/3
Let m(d) be the second derivative of d**7/3780 + d**6/1080 - d**4/12 + 2*d. Let u(n) be the third derivative of m(n). Determine a so that u(a) = 0.
-1, 0
Let c(s) be the first derivative of s**4/30 - 2*s**3/45 - s**2/15 + 2*s/15 + 1. Suppose c(j) = 0. Calculate j.
-1, 1
Let a(h) be the first derivative of 0*h + 0*h**2 - 1/15*h**6 - 6/25*h**5 - 2 - 3/10*h**4 - 2/15*h**3. Factor a(r).
-2*r**2*(r + 1)**3/5
Suppose -4 = -2*b - 0. Solve 2/9*k**5 - 2/9*k**3 + 2/9*k**4 + 0*k + 0 - 2/9*k**b = 0.
-1, 0, 1
Suppose 11*w - 7*w = 0. Let q(l) be the second derivative of -1/50*l**5 + 1/75*l**6 + w*l**2 + l - 1/30*l**4 + 1/15*l**3 + 0. Determine h, given that q(h) = 0.
-1, 0, 1
Let l(f) be the third derivative of -f**7/1050 - f**6/600 - 4*f**2. Factor l(k).
-k**3*(k + 1)/5
Let s = -5 - -5. Suppose s = -b + 3 + 2. Solve -8*g + b*g**3 + 5*g**4 + g**3 + 3*g**4 + 2*g**5 - 8*g**2 = 0.
-2, -1, 0, 1
Let 3/8*p - 3/4*p**2 + 3/8*p**3 + 0 = 0. What is p?
0, 1
Let j(y) = 3*y**2 + 3*y + 4. Let z(m) = m - 4. Let f be z(3). Let w(o) = 1. Let l(n) = f*j(n) + 4*w(n). Factor l(h).
-3*h*(h + 1)
Let q = 1/76 + 9/38. Let x(y) be the first derivative of 0*y**2 + q*y**4 - 1/3*y**3 + 0*y - 3. Suppose x(r) = 0. Calculate r.
0, 1
Let m(t) be the first derivative of -t**3/8 - 3*t**2/16 + 1. Factor m(r).
-3*r*(r + 1)/8
Let z(r) be the second derivative of -1/105*r**6 + 0*r**3 - 1/70*r**5 + 2*r + 0*r**2 + 0 + 0*r**4. Factor z(o).
-2*o**3*(o + 1)/7
Let u = -9 + 11. What is g in 4*g**2 + 1 - 2*g**2 - 3*g**u = 0?
-1, 1
Let s be (1 + 1)/(2/15). Suppose s = 5*b + i, -2*b + 7 = -3*i + 1. Determine z, given that 4/3*z - 28/3*z**2 + 49/3*z**b + 0 = 0.
0, 2/7
Let x be (6/(-10))/((-3)/15). Suppose 0 = v + 5*f - 0*f + 23, -4 = x*v + 2*f. What is u in -u**v - u + 4*u**2 - 2*u**2 = 0?
0, 1
Let f(o) be the second derivative of o**5/20 - o**4/12 - o**3/6 + o**2/2 + 9*o. Factor f(j).
(j - 1)**2*(j + 1)
Let z(d) be the first derivative of d**6/27 + 2*d**5/45 - d**4/18 - 2*d**3/27 + 10. Factor z(h).
2*h**2*(h - 1)*(h + 1)**2/9
Suppose -u = 3*u + 3*u. Let m(h) be the third derivative of 0*h + 0 + 3*h**2 + 1/504*h**8 + 0*h**3 + 0*h**4 + 1/315*h**7 + 0*h**6 + u*h**5. Factor m(l).
2*l**4*(l + 1)/3
Let l be 54/36 - (-4)/(-3). Let d(y) be the second derivative of 0 + 1/12*y**4 + 3*y - l*y**3 + 1/20*y**5 - 1/2*y**2. Find q such that d(q) = 0.
-1, 1
Let z(v) = -4*v**4 - v**3 + 5*v**2 + 9*v - 6. Let p(w) = -7*w**4 - 3*w**3 + 9*w**2 + 19*w - 13. Let x(s) = -3*p(s) + 5*z(s). Let x(t) = 0. Calculate t.
-3, 1
Let s = -485 + 487. Factor -2/7*v + 2/7*v**s + 0.
2*v*(v - 1)/7
Let r(q) be the third derivative of -q**10/151200 - q**9/20160 - q**8/10080 + q**5/60 + 2*q**2. Let y(g) be the third derivative of r(g). Factor y(l).
-l**2*(l + 1)*(l + 2)
Let w(x) = x**2 - 11*x - 8. Let a be w(10). Let g be (-8)/36 - 76/a. Suppose -1/4 + d - 3/2*d**2 + d**3 - 1/4*d**g = 0. Calculate d.
1
Let f(n) be the third derivative of -n**6/60 + 2*n**5/15 - 5*n**4/12 + 2*n**3/3 + 12*n**2. Find y such that f(y) = 0.
1, 2
Let a(m) = 2*m - 14. Let y be a(11). Suppose u + y = 3*u. Suppose -1/2*g**2 + 1/2*g**u + 0*g + 0 + 0*g**3 = 0. Calculate g.
-1, 0, 1
Suppose 3*a = w + 6*a + 10, 2*a = -4*w. Suppose 0 = -w*d - 4*i + 24, 2*i - 1 = 9. Solve -2*q**2 + q**d - 3*q**3 - q**5 - 3*q**4 + 0*q**4 = 0.
-1, 0
Let r = -10 - -11. Let t(m) = -3*m**3 - 3*m**2 + 4*m + 4. Let i(k) = k + 1. Let v(w) = r*t(w) - i(w). Factor v(c).
-3*(c - 1)*(c + 1)**2
Let f be (-4)/1 - -2*5. Let t be 7/42 + 11/f. Suppose -1/3*a**t - 3 - 2*a = 0. What is a?
-3
Let b(j) = j**2 - 5*j + 2. Let t be b(5). Suppose -140 - 95 = -3*z - 2*a, z - 89 = t*a. Solve 72*s**2 - 1 - z*s**3 + 3 - 7*s - 14*s = 0 for s.
2/9, 1/3
Let r = -12 - -14. Let t(f) be the second derivative of 1/27*f**4 - r*f + 1/90*f**5 + 0*f**2 + 0 + 0*f**3. What is o in t(o) = 0?
-2, 0
Factor 0*w**3 - 2/3*w**2 + 1/3 + 0*w + 1/3*w**4.
(w - 1)**2*(w + 1)**2/3
Let -113*d**5 + 5 + 35*d**3 + 50*d**2 + 15*d**3 + 25*d**4 + 25*d + 118*d**5 = 0. What is d?
-1
Find m such that -m - m - 6*m**2 + m**4 + 18*m**3 + 0*m**4 - 11*m**4 = 0.
-1/5, 0, 1
Let s = -1 + 3. Let h be (6/(-10))/(s/(-10)). Determine f, given that f**4 - f - f**3 - h*f + 5*f - f**2 = 0.
-1, 0, 1
Let k(z) = -z**3 + 5*z**2 - 4*z + 2. Let l be k(4). Let h(f) be the first derivative of -1/2*f**l - 1/5*f**5 + 1/4*f**4 - 2 + 1/3*f**3 + 0*f. Factor h(n).
-n*(n - 1)**2*(n + 1)
Suppose 0 = -4*p + 8, 0 = 4*h + p - 26 + 4. Suppose 3*z - z = 8. Determine w so that -z*w**3 + 6*w**5 - 4*w**h + 0*w**5 + 2*w = 0.
-1, 0, 1
Factor 38/15*c**3 - 2*c**2 + 2/15*c - 14/15*c**4 + 4/15.
-2*(c - 1)**3*(7*c + 2)/15
Let j(k) be the first derivative of 0*k - 4 - 10/9*k**3 - 2/3*k**2. Solve j(x) = 0.
-2/5, 0
Factor -2/19*t**2 - 8/19*t + 8/19 + 2/19*t**3.
2*(t - 2)*(t - 1)*(t + 2)/19
Let z(r) = 4*r**5 - 7*r**4 - 11*r**3. Let q(a) = 2*a**5 - 4*a**4 - 6*a**3. Let k = -1 - 5. Let g(t) = k*z(t) + 11*q(t). Factor g(f).
-2*f**4*(f + 1)
Let h be 1 - (1 - 3 - -1). Factor -2*n**2 + 4*n**2 - h*n**2 - 3*n**4 + 3*n**2.
-3*n**2*(n - 1)*(n + 1)
Suppose i - 12 - 5 = -5*m, 19 = 2*i + 5*m. Solve 0 + 2/7*w - 2/7*w**i = 0 for w.
0, 1
Let s(c) be the second derivative of 1/42*c**7 + 0*c**2 + 0 + 1/20*c**5 - 1/15*c**6 + 0*c**4 + 0*c**3 + 3*c. Let s(q) = 0. What is q?
0, 1
Let 2/11*h**4 - 4/11*h**3 + 2/11*h**2 + 0 + 0*h = 0. What is h?
0, 1
Let y = 91 + -817/9. Factor y*t**3 - 2/9*t**2 - 1/9*t + 1/9*t**4 - 1/9*t**5 + 1/9.
-(t - 1)**3*(t + 1)**2/9
Suppose 0 + 2 = i, 3*c + 8 = -5*i. Let s be (-8)/c*42/112. Factor -s*n + 0 + 1/2*n**2.
n*(n - 1)/2
Let z(v) be the second derivative of v**7/21 - 4*v**6/15 + 3*v**5/5 - 2*v**4/3 + v**3/3 - 7*v. Let z(a) = 0. What is a?
0, 1
Suppose o = -3*x + 2 + 2, -4*o - 6 = x. Let -6/11 + 14/11*f + 2/11*f**3 - 10/11*f**x = 0. Calculate f.
1, 3
Let l(u) be the second derivative of 3*u**5/20 + u**4/4 - 4*u. What is i in l(i) = 0?
-1, 0
Let r(g) be the first derivative of 4 + 1/9*g**6 + 0*g + 1/2*g**4 - 2/5*g**5 + 0*g**2 - 2/9*g**3. Suppose r(a) = 0. What is a?
0, 1
Let r(f) be the second derivative of 0*f**2 + 1/15*f**4 + 0 + 0*f**5 - 1/15*f**3 + 1/105*f**7 - 2/75*f**6 + 3*f. Factor r(k).
2*k*(k - 1)**3*(k + 1)/5
Let f(r) = -r + 8. Suppose h - 2*q - 2 = -h, -4*q = 4*h - 44. Let y be f(h). Let -1/6*p + 0 - 1/6*p**3 + 1/3*p**y = 0. What is p?
0, 1
Let t be 2/(-2)*3/(-3). Let f be ((-2)/8 - -1)/t. Factor -1/4*q**2 + f*q**4 + 0 - q**3 + 1/2*q.
q*(q - 1)**2*(3*q + 2)/4
Suppose -r = 4*h + 8 - 19, 2*h = -2*r + 10. Factor 2/3*f**r + 2/3 - 2/3*f**2 - 2/3*f.
2*(f - 1)**2*(f + 1)/3
Let s(j) be the third derivative of j**5/240 - j**4/32 + j**3/12 + 8*j**2. Factor s(h).
(h - 2)*(h - 1)/4
Let -v + 0*v**2 + 1/3*v**3 - 2/3 = 0. What is v?
-1, 2
Let v(z) be the third derivative of -z**7/840 - z**6/144 + z**5/60 - z**4/8 - 2*z**2. Let m(x) be the second derivative of v(x). Factor m(b).
-(b + 2)*(3*b - 1)
Let g be (-4)/(-28)*(-8 + 10). Determine j, given that 0*j - g*j**2 + 0 = 0.
0
Suppose -5*x = -x - 4*z - 20, 0 = -3*x + 4*z + 15. Suppose -a - 3*t = -5*a + x, t = 1. Factor 2/3*i**a + 2/3 + 4/3*i.
2*(i + 1)**2/3
Let u(d) be the first derivative of -49*d**6/6 - 518*d**5/5 - 71*d**4 - 40*d**3/3 - 10. Determine a so that u(a) = 0.
-10, -2/7, 0
Determine u so that -4*u**3 - 3*u**2 - 3*u**4 + 3*u**2 - 3*u**5 + 10*u**3 = 0.
-2, 0, 1
Let h(w) be the second derivative of 2*w**6/15 + w**5/5 - w**4/3 - 2*w**3/3 + 33*w. Factor h(y).
4*y*(y - 1)*(y + 1)**2
Let r(d) be the third derivative of -d**7/200 + d**6/90 - d**5/150 - d**3 + 4*d**2. Let k(o) be the first derivative of r(o). What is a in k(a) = 0?
0, 2/7, 2/3
Suppose -l + 16 - 4 = 0. Let t = l + -23/2. Determine o so that -1/2*o**4 - 1/2*o**3 + 0 + t*o + 1/2*o**2 = 0.
-1, 0, 1
Let x(v) be the third derivative of v**5/60 + v**4/8 + v**3/3 + 4*v**2. Find c such that x(c) = 0.
-2, -1
Let r(q) be the third derivative of 7*q**8/3840 - q**6/240 + q**5/30 - q**2. Let k(p) be the third derivative of r(p). Factor k(i).
3*(7*i - 2)*(7*i + 2)/4
Let f(i) be the second derivative