= 0. Calculate z.
-1, 0, 2
Let z = 22 + -20. Factor -2/7*l + 0 + 2/7*l**z.
2*l*(l - 1)/7
Let d be (13/21 + (-6)/21)*2. Find o, given that 0 + 1/3*o**3 + 1/3*o - d*o**2 = 0.
0, 1
Let k(b) be the first derivative of 1/30*b**6 - 1/2*b**2 - 2*b - 1/10*b**5 - 2 + 1/3*b**3 + 0*b**4. Let y(h) be the first derivative of k(h). Factor y(n).
(n - 1)**3*(n + 1)
Let b(y) be the second derivative of y**3/6 + 11*y**2/2 - y. Let h be b(-9). Factor -3*p**2 + 6*p**2 - 2*p**h + 2*p**2.
3*p**2
Let j(d) be the third derivative of d**8/112 + d**7/70 - d**6/8 - d**5/20 + d**4 - 2*d**3 + 6*d**2. Solve j(l) = 0 for l.
-2, 1
Let a(v) be the third derivative of 2*v**2 + 0*v + 1/15*v**5 - 1/2*v**3 + 0 + 11/24*v**4. Factor a(x).
(x + 3)*(4*x - 1)
Factor -16/3*v**2 + 0 + 4/3*v**3 + 16/3*v.
4*v*(v - 2)**2/3
Suppose 18*j = 23*j. Factor -4/9*g**3 - 2/9*g**2 + 4/9*g + j + 2/9*g**4.
2*g*(g - 2)*(g - 1)*(g + 1)/9
Suppose -i + 15 = 3*j, 2*i - 4 = -3*j + 11. Suppose 0 - 2/9*b**2 + 2/9*b**3 + i*b = 0. Calculate b.
0, 1
Let 2/13*m**2 + 6/13*m + 4/13 = 0. What is m?
-2, -1
Let n be (2 - (3 - 1)) + 0. Let j be (-3 + (n - -3))*1. Determine p, given that 2/5*p**4 + j + 0*p + 2/5*p**5 - 2/5*p**2 - 2/5*p**3 = 0.
-1, 0, 1
Let u(o) be the second derivative of -4*o + 0 - 1/30*o**4 + 1/900*o**6 + 0*o**2 + 1/300*o**5 - 1/3*o**3. Let w(m) be the second derivative of u(m). Factor w(l).
2*(l - 1)*(l + 2)/5
Factor 2/11*g**2 - 6/11 - 4/11*g.
2*(g - 3)*(g + 1)/11
Let u(q) = q**3 - 3*q**2 - 3*q - 2. Let s be u(4). Let x = s - -1. Factor -1/3*l**x + 0 + 0*l - 1/3*l**2.
-l**2*(l + 1)/3
Suppose 0 = -k - 5*t - 18, -4*k + 4*t - 13 + 37 = 0. Determine n, given that -n**k + n**2 + 2*n**4 = 0.
0
Let j(b) be the second derivative of b**4/30 - 2*b**3/15 + b**2/5 + 5*b. Factor j(a).
2*(a - 1)**2/5
Let l(m) be the first derivative of -m**4 + 2*m**2 - 2 + m - 1/3*m**3. Factor l(n).
-(n - 1)*(n + 1)*(4*n + 1)
Let m = -74 + 149/2. Solve 1/4*y**2 + 0 + m*y = 0 for y.
-2, 0
Let t be (-28)/(-21)*(1 - -2). What is r in -r + r**3 + 1/2*r**t - 1/2 + 0*r**2 = 0?
-1, 1
Suppose -k + 4 = k. Let c = k + -2. Suppose u**3 + c*u**3 + 2*u**2 + u**3 = 0. Calculate u.
-1, 0
Solve 0 - 2/5*r**4 - 6/5*r**3 - 6/5*r**2 - 2/5*r = 0 for r.
-1, 0
Suppose -4/3*x**3 + 4/3*x**2 + 0 + 0*x + 1/3*x**5 - 1/3*x**4 = 0. What is x?
-2, 0, 1, 2
Suppose 4*n = 3*n + 5*l - 22, 2*n - l + 8 = 0. Let c be (-75)/(-140) - n/(-7). Determine h, given that 3/4*h - 1/4*h**2 + 0*h**4 + h**5 - 7/4*h**3 + c = 0.
-1, -1/2, 1
Let i(x) be the second derivative of 1/16*x**4 + 0*x**3 - 4*x + 3/80*x**5 + 0*x**2 + 0. Factor i(z).
3*z**2*(z + 1)/4
Let b(n) = -n**3 + n - 1. Let o(m) = -6*m**3 - 27*m**2 - 21*m + 15. Let t(z) = -z**3 + 4*z**2 - 5*z + 5. Let k be t(4). Let y(a) = k*b(a) - o(a). Factor y(r).
3*r*(r + 1)*(7*r + 2)
Determine p so that -2*p - 1/4*p**2 - 4 = 0.
-4
Let 1/5*b**5 + b + b**4 + 2*b**2 + 1/5 + 2*b**3 = 0. Calculate b.
-1
Let l(u) be the second derivative of -u**8/23520 - u**7/4410 - u**4/12 - u. Let o(x) be the third derivative of l(x). Let o(p) = 0. Calculate p.
-2, 0
Let d be 5*1 - 1/(-7)*-7. Factor 0 + 2/3*s**d + 6*s**3 + 18*s**2 + 18*s.
2*s*(s + 3)**3/3
Let y(f) be the third derivative of -f**8/7560 + f**7/756 - 2*f**6/405 + f**5/135 + 5*f**3/6 - 7*f**2. Let h(c) be the first derivative of y(c). Factor h(i).
-2*i*(i - 2)**2*(i - 1)/9
Let r be 3*3/63*2*1. Factor -4/7*v**2 - 2/7*v**5 + 2/7 - 2/7*v + 4/7*v**3 + r*v**4.
-2*(v - 1)**3*(v + 1)**2/7
Suppose -l + 21 = 5*i + 7, i + 5*l + 2 = 0. Suppose 4/3 + 8/3*w + 1/3*w**i + 5/3*w**2 = 0. What is w?
-2, -1
Suppose 5 = 4*g - 3. Factor -2*b**g - 2*b**2 - 6*b - 7 + 5.
-2*(b + 1)*(2*b + 1)
Determine y so that 3*y**4 + 12*y + 72 + 879*y**2 - 3*y**3 - 909*y**2 + 0*y**3 = 0.
-2, 2, 3
Let q = 23 - 19. Let l(c) be the first derivative of 0*c**2 - 1/16*c**q + 1/6*c**6 + 3/20*c**5 + 0*c**3 + 0*c + 3. Factor l(a).
a**3*(a + 1)*(4*a - 1)/4
Let r(v) be the second derivative of 2*v**6/75 + 3*v**5/100 - v**4/12 - v**3/10 + v**2/10 + 45*v. Determine n, given that r(n) = 0.
-1, 1/4, 1
Let k(c) = 9*c**3 + 30*c**2 + 49*c + 20. Let q(z) = 10*z**3 + 30*z**2 + 50*z + 20. Let d(i) = 5*k(i) - 4*q(i). Solve d(s) = 0.
-4, -1
Let c(h) be the third derivative of -h**7/630 - h**6/90 - 2*h**2. Find d, given that c(d) = 0.
-4, 0
Let w(h) be the third derivative of -h**7/140 + h**5/20 - h**3/4 - 10*h**2. Let w(c) = 0. What is c?
-1, 1
Find p, given that 2 - 13*p**3 - 7/2*p**4 - 2*p - 27/2*p**2 = 0.
-2, -1, 2/7
Determine x, given that -14/3*x + 49/3 + 1/3*x**2 = 0.
7
Let v(r) be the second derivative of r**6/15 - r**5/15 - 7*r**4/48 - r**3/12 - 3*r**2/2 + 6*r. Let x(w) be the first derivative of v(w). Factor x(l).
(l - 1)*(4*l + 1)**2/2
Let t(i) be the third derivative of -i**7/945 + 7*i**6/180 - 49*i**5/90 + 343*i**4/108 + 2*i**2 - i. What is y in t(y) = 0?
0, 7
Let k be (-1)/2*8/(-11). Solve -2/11*g**2 - k*g + 6/11*g**3 + 0 - 2/11*g**5 + 2/11*g**4 = 0 for g.
-1, 0, 1, 2
Let o(q) be the first derivative of -2*q**3/3 + 3*q**2/2 + 5*q + 2. Let u(v) = -4*v**2 + 4*v + 2*v + 0*v + 11 + v. Let k(i) = 9*o(i) - 4*u(i). Factor k(b).
-(b + 1)*(2*b - 1)
Let z(j) be the third derivative of 0*j + 1/240*j**6 + 0*j**3 + 1/210*j**7 + 0 + 0*j**4 + 1/672*j**8 - 5*j**2 + 0*j**5. Factor z(k).
k**3*(k + 1)**2/2
Suppose i**4 - i**2 - 2 + 9*i**2 + i**2 - i**3 + 5*i - 12*i**2 = 0. Calculate i.
-2, 1
What is n in 9/4*n**2 + 0 - 3/4*n**3 + 0*n = 0?
0, 3
Let g(y) be the third derivative of -y**5/330 - y**4/44 - 2*y**3/33 + 5*y**2. Factor g(a).
-2*(a + 1)*(a + 2)/11
Let l = -3521/4626 - -10/257. Let z = l - -20/9. Solve 1/2*u**2 + 1 - z*u = 0 for u.
1, 2
Let t be 3/(-12) - (-1)/4. Let y = -145/153 - -35/17. Solve -y*b**3 + 2/3*b**2 + 4/9*b + t = 0 for b.
-2/5, 0, 1
Let g(x) = 19 + 18*x - 20 + 16*x**2 + 3*x**2. Let f(t) = 9*t**2 + 9*t. Let o(m) = 5*f(m) - 3*g(m). Find n, given that o(n) = 0.
-1, 1/4
Let i(f) = 26*f**4 + 11*f**2 - 11. Let q(b) = -5*b**4 - 2*b**2 + 2. Let w(h) = 2*i(h) + 11*q(h). Factor w(l).
-3*l**4
Let l(v) be the third derivative of v**6/1080 + v**5/90 + v**4/18 - v**3/3 + 3*v**2. Let c(z) be the first derivative of l(z). Factor c(f).
(f + 2)**2/3
Let n = -4 + 11. Let t(w) = -11*w**3 + 13*w**2 - 2*w - 7. Let f(z) = -6*z**3 + 7*z**2 - z - 4. Let y(d) = n*f(d) - 4*t(d). Suppose y(i) = 0. Calculate i.
0, 1/2, 1
Let a(g) be the third derivative of -g**8/20160 + g**7/7560 + g**6/2160 - g**5/360 - g**4/24 + 3*g**2. Let n(b) be the second derivative of a(b). Factor n(r).
-(r - 1)**2*(r + 1)/3
Let u(n) be the first derivative of 2*n**6/27 - 4*n**5/15 + 16*n**3/27 + 8. Factor u(l).
4*l**2*(l - 2)**2*(l + 1)/9
Solve 1/4*k**3 + 5/4*k + k**2 + 1/2 = 0.
-2, -1
Let u = 13/57 + 2/19. Factor 0*i + 0*i**3 + 1/3*i**2 + 0 - u*i**4.
-i**2*(i - 1)*(i + 1)/3
Let c be 1/2*6/9. Factor -1/3*m**2 + 0 - c*m.
-m*(m + 1)/3
Suppose 0 = 3*f + 15, 5*a + 2*f - 4*f - 60 = 0. Let d be (8/50)/(2/a). Factor -1/5*p**2 - d + 4/5*p.
-(p - 2)**2/5
Determine d, given that 3/2*d**2 + 9*d + 0 = 0.
-6, 0
Let t be (-16)/20*(-10)/4. Let v be (t*(-1)/3)/(-2). Factor 5/3*z**2 + 2/3*z + 0 + 4/3*z**3 + v*z**4.
z*(z + 1)**2*(z + 2)/3
Factor 2/3*t**2 - 4/3*t - 1/9*t**3 + 8/9.
-(t - 2)**3/9
Let r = 5 + -7. Let d(b) = -7*b**2 - 3*b + 1. Let z(q) = 6*q**2 + 4*q. Let t(v) = r*d(v) - 3*z(v). Determine g so that t(g) = 0.
-1, -1/2
Find g, given that 1/5*g**5 + 0 - 3/5*g**2 - 2/5*g + 1/5*g**3 + 3/5*g**4 = 0.
-2, -1, 0, 1
Factor 24/5*p**2 + 6/5*p**4 + 4*p**3 + 2/5 + 12/5*p.
2*(p + 1)**3*(3*p + 1)/5
Find f, given that -120 - 6*f + 2*f**2 + 123 + f**2 = 0.
1
Determine u, given that -u**4 + 1/2*u**5 + 0*u**3 + 0 + u**2 - 1/2*u = 0.
-1, 0, 1
Suppose -4*l = b - 3 + 1, 0 = -4*b + 5*l + 8. Let j(z) be the second derivative of 0*z**b + 0 + 2*z - 1/24*z**4 + 1/12*z**3. Find h, given that j(h) = 0.
0, 1
Suppose -3*i + 1 = j - 0, -i - j - 3 = 0. Factor 2/3*h**i - 4*h + 6.
2*(h - 3)**2/3
Let z(q) be the second derivative of -q**6/15 + q**4/2 - 2*q**3/3 + q. Suppose z(b) = 0. What is b?
-2, 0, 1
Factor -160*m - 9*m**3 - 83 + 7*m**3 - 45 - 34*m**2.
-2*(m + 1)*(m + 8)**2
Let t be (-36)/6*5/(-9). Let o be ((-1)/2)/((-3)/8). Determine d, given that o*d**2 - t*d**3 - 4/3 + 10/3*d = 0.
-1, 2/5, 1
Determine b so that 0 + 0*b**2 - 4/5*b**4 + 0*b - 1/5*b**3 = 0.
-1/4, 0
Let y be ((-4)/10)/((-1)/5). Let z(v) be the second deriv