e -4/21*b**3 - 8/21*b**5 + 0*b + 0 + 0*b**2 - 6/7*b**4 = 0. What is b?
-2, -1/4, 0
Let -1/2*z**2 + 2 - 3/2*z = 0. What is z?
-4, 1
Factor -2*s**2 - s**3 + 71*s - 71*s.
-s**2*(s + 2)
Let h(o) = 12*o**3 - 14*o**2 + 16*o + 4. Let b be -6*2*(-2)/(-4). Let v(x) = -13*x**3 + 14*x**2 - 17*x - 5. Let d(r) = b*v(r) - 7*h(r). Factor d(z).
-2*(z - 1)**2*(3*z - 1)
Let w be 4 + 1 + (-14)/4. Factor -w + 21/4*d**2 - 15/4*d.
3*(d - 1)*(7*d + 2)/4
Let n(s) be the second derivative of s**5/70 + 2*s**4/21 + 4*s**3/21 - 3*s. Factor n(d).
2*d*(d + 2)**2/7
Let j(f) be the first derivative of f**6/51 - 6*f**5/85 + f**4/17 + 4*f**3/51 - 3*f**2/17 + 2*f/17 - 11. Factor j(b).
2*(b - 1)**4*(b + 1)/17
Factor 2/5*j**4 - 2*j**3 - 6/5*j + 14/5*j**2 + 0.
2*j*(j - 3)*(j - 1)**2/5
Let a(p) = -3*p - 10. Let x be a(-4). Let b(z) be the second derivative of 0*z**4 + 3/20*z**5 - 1/2*z**3 + 0*z**x - 2*z + 0. Suppose b(d) = 0. What is d?
-1, 0, 1
Determine h so that -8/11*h**2 + 6/11*h - 2/11*h**3 + 36/11 = 0.
-3, 2
Let d be ((-86)/(-90) - 1)/((-7)/70). Let f(g) be the first derivative of -1/9*g**2 + 2/27*g**3 - d*g + 1. Suppose f(s) = 0. Calculate s.
-1, 2
Solve 0 - 8/13*o**2 + 6/13*o + 2/13*o**3 = 0 for o.
0, 1, 3
Let g be 4/(4/7) - 36/9. Factor 3/7*b - 3/7*b**g + 1/7 - 5/7*b**2 + 4/7*b**4.
(b - 1)**2*(b + 1)*(4*b + 1)/7
Let m(y) be the third derivative of y**7/2520 - y**6/360 + y**5/180 + y**2 - y. Factor m(w).
w**2*(w - 2)**2/12
Let z be 3 - 60/175*(2 + 5). Let 0*d**2 + z*d + 0 - 3/5*d**3 = 0. What is d?
-1, 0, 1
Let r(j) be the third derivative of j**6/60 - j**5/3 + 41*j**2. Find v, given that r(v) = 0.
0, 10
Let c(d) be the third derivative of -d**8/784 + 3*d**7/490 - 3*d**6/280 + d**5/140 + 35*d**2. Find x such that c(x) = 0.
0, 1
Let c(m) be the second derivative of -m**7/189 + m**6/45 - m**5/90 - m**4/18 + 2*m**3/27 - 30*m. Find y, given that c(y) = 0.
-1, 0, 1, 2
Let m be 1 + -1 - 4/(-22). Solve m*c**3 + 0*c**2 - 6/11*c - 4/11 = 0 for c.
-1, 2
Find f such that 0*f + 1/4*f**5 + 3/4*f**4 + 0*f**2 + 0 - f**3 = 0.
-4, 0, 1
Let t be (-36)/192*2/(-378). Let w(n) be the third derivative of 0*n**7 + 0*n + 1/360*n**6 + 0 + 0*n**4 + 3*n**2 + 0*n**5 + 0*n**3 - t*n**8. Factor w(l).
-l**3*(l - 1)*(l + 1)/3
Let p(v) = -80*v**3 + 135*v. Let a(z) = 3*z**3 - 5*z. Let g(m) = 55*a(m) + 2*p(m). Let g(r) = 0. Calculate r.
-1, 0, 1
Let s(a) = -a**2 - 3*a + 2. Let c be s(-3). Suppose 0 = -2*t + 6*t, 4*w - c*t = 12. Factor 0*j**w + 4*j**3 - j**4 - j**3 - 4*j.
-j*(j - 2)**2*(j + 1)
Let u(h) = 4*h**4 + 7*h**3 - h**2 - 4*h + 3. Let t(s) = 20*s**4 + 36*s**3 - 4*s**2 - 20*s + 16. Let g(z) = 3*t(z) - 16*u(z). Suppose g(a) = 0. What is a?
-1, 0, 1
Factor 512/9*c**5 + 64/3*c**3 + 2/9*c + 512/9*c**4 + 0 + 32/9*c**2.
2*c*(4*c + 1)**4/9
Let i = -237 + 477/2. Factor 0 - i*t**5 - 6*t**3 - 6*t**4 + 0*t**2 + 0*t.
-3*t**3*(t + 2)**2/2
Let i(v) = -v - 2. Let z be i(-4). Let a(d) = -d + 8. Let k be a(7). Find l such that -z*l + l**3 + 0*l - 3*l**2 + 5*l - k = 0.
1
Let u = -321/10 - -168/5. Find d, given that -3/4*d**3 + 9/4*d + u + 0*d**2 = 0.
-1, 2
Let n = 21 + -18. Find u, given that n*u**3 - 44 - 6*u + 44 - 3*u**2 = 0.
-1, 0, 2
Suppose -2*r = -0*r + 5*v - 10, -4*v + 8 = -r. Factor 4*q**2 + r*q - 6*q + 36 + 0*q**2 - 18*q.
4*(q - 3)**2
Let t(n) = -3*n**4 + n**3 + 5*n**2 - n - 2. Let u(a) = -9*a**4 + 2*a**3 + 16*a**2 - 2*a - 7. Let m(c) = 11*t(c) - 4*u(c). Factor m(o).
3*(o - 1)**2*(o + 1)*(o + 2)
Let 1/4*l**3 + 0 - 1/2*l**2 + 1/4*l = 0. Calculate l.
0, 1
Let f(q) = -5*q**4 - 6*q**3 + 11*q**2. Let g(b) = -6*b**4 - 6*b**3 + 12*b**2. Let m(s) = 3*f(s) - 2*g(s). Factor m(j).
-3*j**2*(j - 1)*(j + 3)
Let t(g) = g**4 - 11*g**3 - 4*g**2 + 11*g - 3. Let f(h) = -8*h**4 + 76*h**3 + 28*h**2 - 76*h + 20. Let w(r) = 3*f(r) + 20*t(r). Factor w(q).
-4*q*(q - 2)*(q - 1)*(q + 1)
Let w(a) be the third derivative of 0*a + 1/30*a**5 + 0*a**4 - 2/105*a**7 - 2*a**2 + 0 - 1/60*a**6 + 0*a**3. Factor w(t).
-2*t**2*(t + 1)*(2*t - 1)
Let a(c) be the first derivative of 8*c**3/9 + c**2 + 10. Suppose a(r) = 0. What is r?
-3/4, 0
Let b(y) be the second derivative of 0*y**5 + 0*y**3 + 0*y**2 + 1/30*y**6 + 0 - 1/12*y**4 - 5*y. What is u in b(u) = 0?
-1, 0, 1
Suppose 0 = -u + 6*u. Let c be (-4)/9*(-9)/6. Suppose u - 4/3*l**2 - 2/3*l**3 - c*l = 0. Calculate l.
-1, 0
Let d(k) be the first derivative of -1/2*k**4 - 1/27*k**6 - 14/27*k**3 + 0*k - 2/9*k**5 - 2/9*k**2 + 2. Find z such that d(z) = 0.
-2, -1, 0
Let z = 7 - 2. Factor 2*w**4 + w**4 - 6*w**3 + 3*w - 4*w**2 + 2*w**z + w**5 + 3 - 2*w**2.
3*(w - 1)**2*(w + 1)**3
Suppose 6*d - 24 = 4*d. Determine l so that -d*l**3 + 9/2*l**4 + 3/2*l**2 - 6 + 12*l = 0.
-1, 2/3, 1, 2
Let c be 175/63 + (-4)/(-18). Let o be 0 - 0*c/9. Suppose 2/7 + o*f - 2/7*f**2 = 0. Calculate f.
-1, 1
Let z = 5785/4 + -1445. Factor -1/2*i + 0 - i**3 - z*i**2 - 1/4*i**4.
-i*(i + 1)**2*(i + 2)/4
Let n = 241 - 236. Determine x so that -1/3*x**2 - 1/3*x**n + 0 + 0*x - x**4 - x**3 = 0.
-1, 0
Let i(z) = -z**2 + 4*z + 7. Let r be i(5). Factor -7*p**r + 7*p**2 + 2*p - 4*p + 2*p**3.
2*p*(p - 1)*(p + 1)
Find j such that 0*j - 1/2*j**3 - 1/4*j**4 + 0 - 1/4*j**2 = 0.
-1, 0
Let t be 26/(-112) - 63/(-168). Determine w so that 1/7*w + 0 + t*w**2 = 0.
-1, 0
Let k(f) be the second derivative of f**6/6 + f**5/4 - 5*f**4/2 - 10*f**3/3 + 20*f**2 + 14*f. Suppose k(s) = 0. What is s?
-2, 1, 2
Find j such that 0*j - 2/7*j**4 + 4/7*j**3 + 0*j**2 - 2/7*j**5 + 0 = 0.
-2, 0, 1
Let w(t) = -2*t - 6. Let b be w(-4). Suppose -r + 0 - r**b - 4 + 4 = 0. What is r?
-1, 0
Suppose 0 = -3*d - 4*j + 185, j - 327 = -5*d - 47. Suppose -52*q + d*q = 0. Factor 6/7*h**2 + 0*h - 3/7*h**4 - 3/7*h**3 + q.
-3*h**2*(h - 1)*(h + 2)/7
Suppose 5*d - 7 = v, -4*v - 4*d = -2*v - 14. Suppose -o + 3 = 1. Determine t, given that 2*t - o*t - v + 3*t**2 = 0.
-1, 1
Let g = -8 - -10. Let a(z) = z**2 + z + 1. Let y(d) = 12*d**2 + 14*d + 10. Let p(v) = g*y(v) - 20*a(v). Factor p(f).
4*f*(f + 2)
Let q(c) be the third derivative of 0*c - 7/48*c**4 - 1/4*c**3 + 0 - 1/240*c**6 - 6*c**2 - 1/24*c**5. Factor q(x).
-(x + 1)**2*(x + 3)/2
Factor -2*d**3 - d**3 - 12 - 63*d**2 + 12*d + 66*d**2 + 0.
-3*(d - 2)*(d - 1)*(d + 2)
Let s(u) = u**3 + 3*u**2 - 6*u - 8. Let v be s(-4). Suppose 8/9*t**3 - 10/9*t**2 + 2/3*t**4 - 4/9*t + v = 0. What is t?
-2, -1/3, 0, 1
Let l(n) be the first derivative of -5*n**3 + 25*n**2/2 - 10*n + 12. Let l(g) = 0. Calculate g.
2/3, 1
Factor 1/4*m**2 + 0 - 1/2*m.
m*(m - 2)/4
Let v = 335 - 335. Factor 2/7*k**4 + 2/7*k**2 + v + 0*k + 4/7*k**3.
2*k**2*(k + 1)**2/7
Let x be (6/(-92))/((-63)/(-12)). Let r = 328/483 + x. Let 1/3 + 1/3*s**2 - r*s = 0. Calculate s.
1
Let -2/11*o + 0 + 2/11*o**2 = 0. Calculate o.
0, 1
Suppose 3*k + n = -0*k + 27, 21 = 3*k - n. Let w = k + -6. Let 0*d - d + 3*d**w - 2*d - 6*d**2 = 0. Calculate d.
-1, 0
Let q be (4 - 1) + (-8)/8. Let w be (q/8)/(9/24). Factor w + 1/3*u**3 + 0*u**2 - u.
(u - 1)**2*(u + 2)/3
Suppose 4*r = -r + 90. Suppose 7 = -s + 5*q - 5, 3*q - r = -3*s. Factor -m**5 - 2*m**2 - m**s + 5*m**3 + 2*m**4 - 3*m**3.
-m**2*(m - 2)*(m - 1)*(m + 1)
Suppose -2*z + 3 = -p + 1, p + 5*z - 19 = 0. Let t(h) = -3*h**2 + 7*h. Let i(j) = 9*j**2 - 22*j - 1. Let b(r) = p*i(r) + 14*t(r). Suppose b(a) = 0. What is a?
2/3, 1
Let q(w) be the first derivative of -3*w**4/4 + w**3 - 16. Solve q(v) = 0.
0, 1
Let g(p) be the first derivative of 0*p**4 + 0*p**2 + 0*p + 1/15*p**5 + 3 - 1/9*p**3. Solve g(f) = 0 for f.
-1, 0, 1
Let t = 8217601/24075 + -1/24075. Let d = t + -338. Find s, given that -2/3*s + 0 - 8/3*s**3 + d*s**2 = 0.
0, 1/4, 1
Let n(g) be the first derivative of -4*g**3/9 + 8*g**2 - 48*g - 3. Suppose n(a) = 0. What is a?
6
Suppose -1738 = -2*n - 2*h, 3*n - 3*h + 875 = 4*n. Let j = n + -7780/9. Find d such that -j*d**4 - 8/9 - 50/9*d**2 - 38/9*d**3 - 32/9*d - 2/9*d**5 = 0.
-2, -1
Let b be 161/60*16/168. Let m = b - 1/30. Factor m*c + 8/9*c**2 + 10/9*c**3 + 4/9*c**4 + 0.
2*c*(c + 1)**2*(2*c + 1)/9
Let s(j) = -j**2 + 4*j + 63. Let r be s(-6). Factor 0*z**r + 4/5*z**4 + 0 + 2/5*z - 2/5*z**5 - 4/5*z**2.
-2*z*(z - 1)**3*(z + 1)/5
Let h be (0 - 0)*1/(-2). Let i be 3 + (-2 + 2 - h). Factor 7*u**3 - u**3 + 2*u**2 - 4*u**i.
2*u**2*(u + 1)
Let a(w) be the first derivative of -w**4/4 - 3. Let a(y) = 0. What is y?
0
Let z(i) be the second derivative of 0 - 1/48*i**4