 in b(k) = 0?
1/4, 1, 3
Factor 45*p + 159*p + p**4 + 835*p**3 - 630*p**2 - 10*p**3 - 24 - 376*p**4.
-3*(p - 1)*(5*p - 2)**3
Suppose -2/3*j**3 + 6*j**2 + 32/3 - 16*j = 0. What is j?
1, 4
Suppose 3*k - 2*s = 9, -s = 4*k - 0*k - 23. Let t be (-6)/((45/(-6))/k). Determine h, given that -5*h**5 + 3*h + 6*h**2 - 2*h**4 + 2*h**5 - t*h**4 = 0.
-1, 0, 1
Let k be (-102)/(-36) + (-1)/(-6). Factor 0*r + 0*r + 2 - k*r + 9*r**2 - 8*r**2.
(r - 2)*(r - 1)
Solve -m - 25 + 43*m**2 - 86*m**2 + 38*m**2 - 29*m = 0.
-5, -1
Factor -4 + 40*y**2 - 4*y - 33*y**3 - y + 11*y**3 - 9*y.
-2*(y - 1)**2*(11*y + 2)
Let w = -194/99 + 24/11. Suppose -2/3*t**2 + 0 - 2/9*t**4 - 2/3*t**3 - w*t = 0. Calculate t.
-1, 0
Let u(i) be the first derivative of i**7/630 - i**5/90 + i**3/18 - i**2 - 3. Let j(o) be the second derivative of u(o). Factor j(s).
(s - 1)**2*(s + 1)**2/3
Let b = -22 - -22. Find k, given that b + 1/4*k**2 + 1/2*k = 0.
-2, 0
Let 7*d**4 - 4*d**3 - 4*d**5 - 32*d**4 + 17*d**4 = 0. What is d?
-1, 0
Suppose -9*b = 17 - 17. Factor b + 1/2*j**3 - j**2 + 0*j.
j**2*(j - 2)/2
Let w(z) be the first derivative of 1 + 1/5*z**5 + 1/3*z**3 + 0*z**2 - 1/2*z**4 + 0*z. Solve w(a) = 0 for a.
0, 1
Let l(s) be the third derivative of -3*s**6/40 - 2*s**5 - 119*s**4/8 + 49*s**3 + 3*s**2. Factor l(y).
-3*(y + 7)**2*(3*y - 2)
Let u(b) be the second derivative of b**8/4200 + b**7/2100 - b**6/900 - b**5/300 - b**3/3 - 3*b. Let w(r) be the second derivative of u(r). Solve w(z) = 0.
-1, 0, 1
Let f(s) be the third derivative of s**2 + 1/12*s**4 + 0*s + 0 + 1/3*s**3 - 1/15*s**5. Factor f(g).
-2*(g - 1)*(2*g + 1)
Let u(t) be the second derivative of 5*t**7/14 - 17*t**6/6 + 21*t**5/4 + 15*t**4/4 - 26*t. Factor u(k).
5*k**2*(k - 3)**2*(3*k + 1)
Let o(q) be the first derivative of 5*q**3/3 + 15*q**2 + 45*q - 10. Factor o(z).
5*(z + 3)**2
Let t = 8 + -5. Suppose 0 = r + 2*r - 3*w - 15, -12 = -2*r + t*w. What is u in -1/2 + 1/2*u**2 - 1/2*u + 1/2*u**r = 0?
-1, 1
Let z = 205/3 + -68. Let i(h) be the first derivative of 3 + z*h - 1/9*h**3 + 0*h**2. Solve i(l) = 0 for l.
-1, 1
Let g be (-124)/6 - 1/3. Let a(o) = o**3 + o**2 + o - 1. Let w(p) = p**4 - 5*p**3 - 6*p**2 - 7*p + 7. Let d(l) = g*a(l) - 3*w(l). Suppose d(m) = 0. What is m?
-1, 0
Let g(v) be the third derivative of -v**8/588 + v**7/735 + v**6/140 - v**5/210 - v**4/84 + 5*v**2. Solve g(b) = 0.
-1, -1/2, 0, 1
Let m(f) = 3*f - 3. Let h be m(2). Suppose 15 = h*z - 0*z. Let 32*w**z + 3*w**2 - 8*w**3 - 6*w**3 - w**2 + 16*w**4 = 0. Calculate w.
-1, 0, 1/4
Let x(s) be the second derivative of s**6/10 - s**4/4 + 2*s - 24. Find j such that x(j) = 0.
-1, 0, 1
Let f(g) be the second derivative of 3*g**5/20 + g**4 + 3*g**3/2 + g. Factor f(i).
3*i*(i + 1)*(i + 3)
Let f(r) be the second derivative of 0*r**3 + 0 - 2*r + 1/24*r**4 + 0*r**2 + 1/20*r**5 + 1/60*r**6. Solve f(h) = 0 for h.
-1, 0
Let z(y) = 7*y**2 - y + 9. Let n(x) = 4*x**2 + 5. Let o(u) = -5*n(u) + 3*z(u). Factor o(h).
(h - 2)*(h - 1)
Let k(u) = u**2 + 2*u. Let h(y) = -6*y**2 - 10*y. Let x(d) = -3*h(d) - 16*k(d). Solve x(l) = 0.
0, 1
Let p = 8 + -27/4. Factor -1/4 - 5/4*x**4 - p*x - 5/2*x**3 - 5/2*x**2 - 1/4*x**5.
-(x + 1)**5/4
Let l(u) be the second derivative of -u**9/52920 - u**8/23520 + u**4/12 + 3*u. Let y(g) be the third derivative of l(g). Find w such that y(w) = 0.
-1, 0
Suppose 0*c - 4*c - 12 = 4*g, 5*c + 7 = -3*g. Let f be ((-3)/9)/(g/6). Factor f*n**3 + 1/2 - 1/2*n - 1/2*n**2.
(n - 1)**2*(n + 1)/2
Let s be 10/(-4)*48/(-30). Suppose -2*g + s = -0. Solve -i - 1/2*i**g - 1/2 = 0.
-1
Let v = -6419/30 + 214. Let f(g) be the second derivative of 2/3*g**2 + 0 + 1/9*g**3 - v*g**5 + 3*g - 1/9*g**4. Let f(b) = 0. Calculate b.
-2, -1, 1
Let m(v) be the third derivative of -v**8/84 - 2*v**7/105 + v**6/30 + v**5/15 - 10*v**2. Find z such that m(z) = 0.
-1, 0, 1
Let v(x) be the third derivative of x**8/560 + 3*x**7/280 + 5*x**3/6 + 5*x**2. Let p(o) be the first derivative of v(o). Factor p(s).
3*s**3*(s + 3)
Factor 3/2*r + 5/4 + 1/4*r**2.
(r + 1)*(r + 5)/4
Let i = -317 - -955/3. Solve i*c - 1 - 1/3*c**2 = 0 for c.
1, 3
Let c = 467 - 464. What is z in 0 + 0*z**2 + 0*z + 4/17*z**c + 10/17*z**5 + 14/17*z**4 = 0?
-1, -2/5, 0
Find g, given that -9*g**2 + 5*g**5 + 5*g**4 - 12*g**2 + 21*g**2 - 10*g**3 = 0.
-2, 0, 1
Suppose 4*d - s + 8 = s, -5*d + 20 = 5*s. Suppose d*b**4 + 3*b**5 - 4*b**5 - 2*b**4 - b**3 = 0. Calculate b.
-1, 0
Let m(i) be the third derivative of 0*i + 5*i**2 + 1/40*i**6 - 13/120*i**5 + 1/24*i**4 + 0 + 0*i**3 - 1/21*i**8 + 16/105*i**7. Let m(t) = 0. Calculate t.
-1/2, 0, 1/4, 2
Factor -2*a + a + 2 + 6*a**3 - 2*a**3 - 3*a - 2*a**4.
-2*(a - 1)**3*(a + 1)
Suppose 3*x - 4*q - 3 = -15, -2*q + 6 = x. Let g(o) be the third derivative of 1/60*o**5 + 0*o - 3*o**2 - 1/6*o**3 - 1/30*o**6 + x + 1/6*o**4. Factor g(c).
-(c - 1)*(c + 1)*(4*c - 1)
Let i(k) be the second derivative of k**6/10 + 3*k**5/10 + 14*k. Suppose i(h) = 0. What is h?
-2, 0
Let a = 149/273 + 1/39. Let t(u) be the first derivative of 2/35*u**5 + 3/14*u**4 + 2/21*u**3 - 3/7*u**2 - a*u - 1. Let t(p) = 0. Calculate p.
-2, -1, 1
Suppose -3 = 4*d - 19. Find y such that 3*y**3 + y**2 - 5*y**4 + d*y**4 + y - 4*y**3 = 0.
-1, 0, 1
Factor -2*i**5 - 24*i + 12*i**3 + 55*i - 25*i - 16*i**2.
-2*i*(i - 1)**3*(i + 3)
Suppose 4*x = 4*h - 2 - 6, -5*x - 10 = -2*h. Suppose 0 = -4*t + 2*u - 4, 2*t + 2*u + h*u - 4 = 0. Factor t + 1/4*r**3 - 1/4*r + 0*r**2.
r*(r - 1)*(r + 1)/4
Let q(d) be the first derivative of -d**6/540 + d**4/36 - 2*d**3/27 + d**2 + 1. Let i(g) be the second derivative of q(g). Find b, given that i(b) = 0.
-2, 1
Suppose 11*i - 14*i = 0. Let m(k) be the second derivative of i - 1/6*k**4 + 1/10*k**5 + 2*k + 0*k**2 + 2/27*k**3. Let m(h) = 0. What is h?
0, 1/3, 2/3
Let g(z) be the first derivative of 0*z + 8/9*z**4 + z**2 - 16/9*z**3 - 6. Find n, given that g(n) = 0.
0, 3/4
Let x = -13 + 16. Factor 3/5 - 3/5*c + 3/5*c**x - 3/5*c**2.
3*(c - 1)**2*(c + 1)/5
Let m be (-2)/7 + 37/7. Suppose -m*a - 2 = 2*y, -2*y = -3*y + 2*a + 8. Let 0*i**2 + 0*i**y - 2*i**2 + 2*i**4 = 0. Calculate i.
-1, 0, 1
Let r be (-30)/117*2*6/(-5). Suppose 0 + 6/13*x**3 + 18/13*x**2 + 4/13*x - r*x**4 = 0. What is x?
-1, -1/4, 0, 2
Let x(o) be the second derivative of -o**7/840 + o**5/120 - o**3/3 + o. Let f(z) be the second derivative of x(z). Factor f(s).
-s*(s - 1)*(s + 1)
Let d = -5 + 7. Factor -1 + n**2 + 6 - 4 - d*n.
(n - 1)**2
Let v(n) = -n**3 - n**2 + n. Let m(f) = -5*f**2 - 10*f. Let i(b) = -m(b) - 5*v(b). Determine u so that i(u) = 0.
-1, 0
Suppose 2*a - 8 = -2*a. Suppose -3*h = -u + 9, -5*u - 3 - 3 = a*h. Determine t, given that 2/5*t**3 + u + 8/5*t + 8/5*t**2 = 0.
-2, 0
Let o(l) = -l + 11. Let p be o(9). Let c(i) be the second derivative of -1/50*i**5 - i + 0 + 0*i**3 - 1/30*i**4 + 0*i**p. Factor c(v).
-2*v**2*(v + 1)/5
Suppose 5*s - 4*w = -4, 0*w - 2*w = 3*s + 20. Let f(x) = x**3 + 5*x**2 + 4*x + 4. Let z be f(s). Factor 1 + 3*m**2 - 1 - 2*m - m**z.
-m*(m - 1)**2*(m + 2)
Let b = 1/106 + 415/954. Factor -2/3*l**4 + b*l**3 + 2/9 - 2/3*l + 2/9*l**5 + 4/9*l**2.
2*(l - 1)**4*(l + 1)/9
Factor -2*t**5 - 2/3*t + 0 - 8*t**3 - 20/3*t**4 - 4*t**2.
-2*t*(t + 1)**3*(3*t + 1)/3
Suppose 0 = 5*t - 2*s - 0*s - 20, -2*t = -5*s - 8. Find q such that -17 - 12*q**2 + q**3 + 17 - t*q - 13*q**3 - 4*q**4 = 0.
-1, 0
Let c(t) be the third derivative of 8*t**7/315 + t**6/10 + 2*t**5/15 + t**4/18 - 2*t**2. Factor c(q).
4*q*(q + 1)**2*(4*q + 1)/3
Let t(x) = x**3 + 5*x**2 + x + 7. Suppose 0*h - h - 5 = 0. Let i be t(h). Factor 2*z**2 - i*z**2 - z**2.
-z**2
Suppose -20 = -5*u + 2*x, 3*u - 12 = 2*x - 3*x. Let n(k) be the first derivative of 0*k**3 - 1/10*k**5 + 0*k - 1 + 0*k**2 - 1/8*k**u. Factor n(g).
-g**3*(g + 1)/2
What is s in 8 - 13*s**2 + 44*s + 23*s**2 + 25*s**2 + s**2 = 0?
-1, -2/9
Let p(m) be the third derivative of m**7/210 + 7*m**6/120 + 2*m**5/15 - 2*m**4/3 + 8*m**2. Let p(x) = 0. What is x?
-4, 0, 1
Determine k, given that 0*k + 0 + 3/5*k**2 = 0.
0
Let r(w) be the second derivative of -1/2*w**2 + 0 - 17/48*w**4 + 5/6*w**3 + 1/20*w**5 - 2*w. Factor r(g).
(g - 2)**2*(4*g - 1)/4
Factor s**2 + 8/5*s + 1/5*s**3 + 4/5.
(s + 1)*(s + 2)**2/5
Let u(k) be the first derivative of -k**6/55 - k**5/22 - k**4/33 + 3*k + 3. Let m(r) be the first derivative of u(r). Factor m(t).
-2*t**2*(t + 1)*(