 = 0. Calculate b.
-2, -2/3, 0, 1
Suppose -2/9*y + 0 + 0*y**3 + 1/3*y**2 - 1/9*y**4 = 0. What is y?
-2, 0, 1
Let w(i) be the second derivative of -i**4/30 - 8*i**3/15 - 16*i**2/5 - 5*i. Factor w(k).
-2*(k + 4)**2/5
Let y(w) be the second derivative of w**6/15 + w**5/10 - w**4/6 - w**3/3 - 3*w. Let y(b) = 0. What is b?
-1, 0, 1
Let y(b) = -b**3 - 8*b**2 - 4*b - 2. Let t be y(6). Let j = 3718/7 + t. Solve -j*o**3 - 8/7*o - 2/7*o**4 - 2/7 - 12/7*o**2 = 0.
-1
Factor -16 + 40 - k**2 + 2*k - 21.
-(k - 3)*(k + 1)
Let h(z) be the third derivative of z**7/70 + z**6/40 - z**5/5 - z**4/2 - z**2. Solve h(t) = 0 for t.
-2, -1, 0, 2
Let t(c) be the third derivative of 2*c**5/75 - 13*c**4/60 + c**3/5 + 6*c**2. Let t(v) = 0. What is v?
1/4, 3
Factor 8/3*x**2 + 16/3*x**3 + 1/3*x + 0.
x*(4*x + 1)**2/3
Let i(p) be the first derivative of -p**3/4 - 3*p**2/4 - 3*p/4 - 14. Suppose i(c) = 0. Calculate c.
-1
Let w(x) = 4*x**2 - 1. Let y be w(1). Let h be 2/(-3) - (-2)/y. Factor -3*c + c + h*c - 2*c**2.
-2*c*(c + 1)
Let l be 16/(-40) + 18/(-20)*-1. Factor 1/2*p**3 - 1/4*p**2 + 1/4 - l*p.
(p - 1)*(p + 1)*(2*p - 1)/4
Let j(g) = -26*g**3 + 12*g**2 + 26*g - 26. Let t(c) = -9*c**3 + 4*c**2 + 9*c - 9. Let b(o) = -5*j(o) + 14*t(o). Determine w, given that b(w) = 0.
-1, 1
Let m(u) = 9*u. Let h be m(-1). Let r = -6 - h. Find w such that -4 + 0*w + 2*w**2 - 4*w - r*w**2 = 0.
-2
Factor 0*t + 4/3*t**4 - 4/3*t**3 - 8/3*t**2 + 0.
4*t**2*(t - 2)*(t + 1)/3
Let y(x) be the first derivative of x**6/5 - 6*x**5/25 - 3*x**4/10 + 2*x**3/5 - 14. Factor y(j).
6*j**2*(j - 1)**2*(j + 1)/5
Let c(h) be the second derivative of h**5/10 - h**4/3 - h**3/3 + 2*h**2 + 4*h + 7. Factor c(n).
2*(n - 2)*(n - 1)*(n + 1)
Factor -5*p + 14*p + 3*p**2 - 12*p - 3*p**4 + 3*p**3.
-3*p*(p - 1)**2*(p + 1)
Suppose 4*j - 9*j + 15 = 0. Suppose -3*d**4 - 4*d**4 + 12*d + 12*d**3 - j - 18*d**2 + 4*d**4 = 0. Calculate d.
1
Suppose 4*k + 25 = -n + 4*n, -k - 16 = -4*n. Let t be (n - 1)*(2 - 1). Factor 1/2*m**5 + 0*m**4 + 0*m - 1/2*m**3 + 0 + 0*m**t.
m**3*(m - 1)*(m + 1)/2
Let k(m) be the second derivative of -3*m**5/20 - 6*m**4 - 96*m**3 - 768*m**2 - 23*m. Find v, given that k(v) = 0.
-8
Let n(l) = -3*l**3 - 3*l**2 + 6*l - 6. Let c(j) = 9*j**3 + 7*j**2 - 17*j + 19. Let m(x) = 6*c(x) + 17*n(x). Let m(d) = 0. What is d?
-1, 2
Let b = 49/8 - 719/120. Determine o, given that -4/15*o**3 - b*o**4 + 8/15*o - 8/15 + 2/5*o**2 = 0.
-2, 1
Let i = 541 - 541. Factor 3/8*u + i*u**2 - 1/4 - 1/8*u**3.
-(u - 1)**2*(u + 2)/8
Let h(n) = -n - 3. Let l be h(-5). Suppose -l*w - 2*f = w - 17, -4*w + f = -8. Suppose 8/7*b**5 + 2/7*b - 10/7*b**w + 6/7*b**4 + 0 - 6/7*b**2 = 0. Calculate b.
-1, 0, 1/4, 1
Let l = -73375/6923 - -244/23. Let z = 5403/1505 + l. Factor 24/5*h**2 + 4/5 + 2*h**3 + z*h.
2*(h + 1)**2*(5*h + 2)/5
Let l be 9/12 - 2/(-40). Factor -4/5*u**3 + l*u + 2/5 + 0*u**2 - 2/5*u**4.
-2*(u - 1)*(u + 1)**3/5
Let f(b) be the first derivative of -b**6/9 - 4*b**5/15 + 4*b**3/9 + b**2/3 + 5. Suppose f(p) = 0. Calculate p.
-1, 0, 1
Let l = 5 + -5. Suppose 5*r - 1 - 9 = 0. Find q, given that l*q - 2/5 + 2/5*q**r = 0.
-1, 1
Let o(h) be the third derivative of h**6/60 + h**5/30 - 5*h**4/12 + h**3 + 25*h**2. Solve o(b) = 0.
-3, 1
Let g(j) = j**3 - 9*j**2 + 16*j + 12. Let s be g(6). Factor -2*r**2 - 1/2*r**3 + s - 2*r.
-r*(r + 2)**2/2
Let s = 149/33 + -35/11. Factor -2/3*z - 2/3*z**2 + s.
-2*(z - 1)*(z + 2)/3
Let k(g) = g**3 + 11*g**2 + 9*g - 6. Let d be k(-10). Find m such that 8/5*m**d - 3/5*m**5 - 2/5 + 7/5*m - 4/5*m**3 - 6/5*m**2 = 0.
-1, 2/3, 1
Let g be (-48)/(-21) + 2/(-7). Factor 2 + 2*i + 3*i - 6 - g*i**2 + i.
-2*(i - 2)*(i - 1)
Let s be 5/60 - 1246/(-1176). Let -s + 8/7*l + 2/7*l**2 - 2/7*l**3 = 0. Calculate l.
-2, 1, 2
Suppose 0*t - 4*t = 0. Let n = t + 2. Factor n*c**4 - c**4 + 2*c**2 + c**2 - c - 3*c**3.
c*(c - 1)**3
Let r be (6/10)/((-15)/(-50)). Let p(l) be the second derivative of 0 + 2*l + 1/45*l**6 - 1/18*l**4 + 0*l**r - 1/126*l**7 + 0*l**5 + 1/18*l**3. Factor p(b).
-b*(b - 1)**3*(b + 1)/3
Let d be (-6)/(-14) - (-11)/154. Find g such that -g + 3/4*g**3 + 0 - d*g**4 + g**2 - 1/4*g**5 = 0.
-2, 0, 1
Suppose 5*p - 15 = 5*q, -2*q - 2*q - 7 = -3*p. Suppose 0*n - 3*s + 2 = n, n + 5*s - q = 0. Solve -2*f**2 + 2*f**n - 4 - 3*f - f**2 + 2 = 0 for f.
-2, -1
Factor 21/5*m**3 + 1/5*m**5 + 8/5*m**4 - 24/5 + 14/5*m**2 - 4*m.
(m - 1)*(m + 2)**3*(m + 3)/5
Let c(t) be the first derivative of -t**3/4 - 3*t**2/8 - 11. Factor c(i).
-3*i*(i + 1)/4
Let g(t) = -t**3 + 6*t**2 - t + 11. Let w be g(6). Solve 0*f**2 + 6*f + 0*f**2 - 8*f**3 + 2*f**2 + 2*f**w - 6*f**2 + 4 = 0.
-1, 1, 2
Suppose 0*i - 8 = -2*i. Factor -9*c**2 + 3*c + 4*c**3 + i*c - c**3 - c.
3*c*(c - 2)*(c - 1)
Let l(p) be the second derivative of 0 + 0*p**2 - 1/120*p**5 + 1/18*p**3 + 6*p + 1/72*p**4. Factor l(n).
-n*(n - 2)*(n + 1)/6
Let s(b) be the second derivative of 1/2*b**2 + 1/10*b**5 - 1/6*b**3 + 5*b + 1/30*b**6 - 1/6*b**4 + 0 - 1/42*b**7. Factor s(h).
-(h - 1)**3*(h + 1)**2
Suppose 5*a - 5 = -5*s, 0 = s + 3*s - 2*a - 10. Suppose 0 = -2*p - s*p + 8. Solve -p*x**2 + 2*x**4 - 4*x**2 + 2*x**3 + 2*x**2 - 2*x + 2*x**2 = 0.
-1, 0, 1
Suppose -5*n - x = -12, -4*x - 3 = -n + 4*n. Factor 3*g**2 - n*g + 3*g - 2*g**2 + g.
g*(g + 1)
Let p be 3*3 - 21/(-7). Let m be (p/(-135))/(6/(-15)). Determine x, given that -8/9*x + 2/3*x**2 + m = 0.
1/3, 1
Suppose -2*m + 6 + 4 = -3*i, 5*m = -i + 8. Factor -4/3 + 4/3*f - 2/3*f**3 - 1/3*f**4 + f**m.
-(f - 1)**2*(f + 2)**2/3
Let f = 17 + -18. Let n(a) = a**3 + a - 1. Let x(i) = -2*i**4 - 38*i**3 - 192*i**2 - 518*i - 506. Let v(l) = f*x(l) - 6*n(l). Find r, given that v(r) = 0.
-4
Determine u so that -133 - 134 - 54*u + 50*u**2 + 271 = 0.
2/25, 1
Let l(t) be the first derivative of 2 - 1/3*t**3 + 3/16*t**4 - 1/8*t**2 + 1/2*t. Let l(p) = 0. What is p?
-2/3, 1
Let z(j) = 4*j**5 - 11*j**4 + 3*j**3 + 4*j**2 + 7. Let r(q) = 4*q**5 - 10*q**4 + 2*q**3 + 4*q**2 + 6. Let l(k) = -7*r(k) + 6*z(k). Factor l(h).
-4*h**2*(h - 1)**2*(h + 1)
Let l(b) be the third derivative of -b**7/189 - 8*b**6/135 - 19*b**5/90 - b**4/6 + 4*b**2. Find o, given that l(o) = 0.
-3, -2/5, 0
Let d(v) be the second derivative of 0*v**2 + 1/10*v**5 + 0*v**3 + v - 1/15*v**6 + 0 + 1/6*v**4 - 1/21*v**7. Solve d(q) = 0.
-1, 0, 1
Let j(s) = -s**2 + s. Let i be j(1). Let h = -14 + 72/5. Find w such that i - 2/5*w**2 + h*w = 0.
0, 1
Suppose -5*h = -5*j - 55, -j = 5*h - 29 - 50. Solve -4 - 18*q**4 + 21*q**4 - h*q**3 + 12*q + 18*q**2 - 20 = 0.
-1, 2
Let j(t) be the third derivative of -t**7/3360 + t**5/480 - 2*t**3/3 + 2*t**2. Let u(w) be the first derivative of j(w). Factor u(y).
-y*(y - 1)*(y + 1)/4
Determine a so that -1/10*a**2 + 0*a - 1/5*a**3 - 1/10*a**4 + 0 = 0.
-1, 0
Let i = -1/69 - -47/69. Suppose 8/3*b**3 + 4*b**2 + i*b**4 + 2/3 + 8/3*b = 0. What is b?
-1
Suppose -2*l - 2*j + 10 = 0, 0 = 3*l - 3*j + 5 - 2. Suppose -4 = -l*g - 0. Let -8/3 - g*s**2 + 1/3*s**3 + 4*s = 0. What is s?
2
Let h be 3 + -8 - (1 + -2). Let w be 1 + h - 82/(-18). What is t in -4/9*t + 2*t**2 - 2*t**4 + w*t**5 + 0 - 10/9*t**3 = 0?
-1, 0, 2/7, 1
Factor 12*y**3 + 0 - 8/3*y**2 - 16/3*y**4 + 0*y.
-4*y**2*(y - 2)*(4*y - 1)/3
Suppose -1 = 2*d - 5*o - 22, -5*o = -3*d + 24. Let b(y) be the first derivative of -1/2*y - 2/3*y**d - 5/4*y**2 - 2. Factor b(n).
-(n + 1)*(4*n + 1)/2
Let q be 7 - (7 + -4) - 2. Let i = 7/3 - q. Factor i*l - 1/3*l**2 + 2/3.
-(l - 2)*(l + 1)/3
Let r(j) be the first derivative of j**7/4200 - j**6/1800 - j**5/600 + j**4/120 - 2*j**3 - 2. Let b(x) be the third derivative of r(x). Factor b(a).
(a - 1)**2*(a + 1)/5
Let a(k) = k + 1. Let m(o) = 2*o**2 - 20*o - 4. Suppose -4*y - 32 = 4*l, 4*y - 5*l = 6*y + 4. Let h(n) = y*a(n) - m(n). Factor h(s).
-2*(s - 2)**2
Let y be (3/3)/((-7)/14). Let o be (-16)/(-15) - y/(-5). Factor 0*z + 4/3*z**2 + 0 + o*z**3.
2*z**2*(z + 2)/3
Suppose 3*l = -2*i, -2*l = l. Let t(o) be the third derivative of i*o**6 + 0*o**3 + 1/315*o**7 + 0 + 0*o - o**2 - 1/90*o**5 + 0*o**4. Factor t(r).
2*r**2*(r - 1)*(r + 1)/3
Let v(d) be the third derivative of 0*d + 1/14*d**7 - 17/40*d**6 + 0*d**3 + 4/5*d**5 - 6*d**2 + 0 - 1/2*d**4. Factor v(z).
3*z*(z - 2)*(z - 1)*(5*z - 2)
Let b(v) = 3*v**2 - 5*v - 8. Let p(m) = 8*m**2 - 15*m - 23. Let i(k) = -7*b(k) + 2*p(k). Find f, given that i(f) = 0.
-1, 2
Let y(n) be th