 2/7*z**2 = 0.
-2
Let i = 285 + -2275/8. Let p = -1/8 + i. Factor -p*x**3 - x**2 + 0 + 0*x.
-x**2*(x + 2)/2
Let h(i) be the second derivative of i + 0 + 0*i**4 + i**2 + 0*i**3 - 1/360*i**6 + 1/180*i**5. Let c(s) be the first derivative of h(s). Factor c(u).
-u**2*(u - 1)/3
Suppose -17*q + 15*q = -6. Factor -5*h**q - 24*h**2 + 12*h**3 + 48*h - 3*h**3 - 32.
4*(h - 2)**3
Factor 0 + 1/2*x**5 - 1/4*x**2 + 0*x + x**3 - 5/4*x**4.
x**2*(x - 1)**2*(2*x - 1)/4
Let s(g) be the first derivative of -g**9/252 - g**8/420 + g**7/70 + g**6/90 + 2*g**3/3 + 6. Let a(l) be the third derivative of s(l). Solve a(d) = 0 for d.
-1, -1/3, 0, 1
Solve -16*f + 4*f**2 + 24*f + 5*f**3 - 13*f**3 - 4*f**4 = 0.
-2, -1, 0, 1
Let t(s) be the third derivative of -s**5/36 - 25*s**4/72 - 5*s**3/3 - 4*s**2. Let t(l) = 0. Calculate l.
-3, -2
Let j(o) be the first derivative of -o**5/4 + o**4/2 + 19*o**3/12 + 3*o**2/4 - 2. Let j(m) = 0. Calculate m.
-1, -2/5, 0, 3
Let c(b) = 1. Let z(r) = -r + 2. Let p be ((-2)/(-4))/((-6)/12). Let f(i) = p*z(i) + c(i). Let j(d) = d**2 + d + 2. Let w(s) = -f(s) - j(s). Factor w(y).
-(y + 1)**2
Let h = 137/112 - 15/16. Let m = -179/42 + 29/6. Find k such that h*k**2 + 2/7*k - m = 0.
-2, 1
Let z(x) be the first derivative of x**4/6 - x**2/3 + 6. Suppose z(i) = 0. What is i?
-1, 0, 1
Let y(k) = k**3 - k + 1. Let f(r) = -6*r**3 + r**2 + r - 2. Let u(d) = -f(d) - 2*y(d). Let o be u(1). Factor -3/4*g**3 + 3/2 + 15/4*g + 9/4*g**2 - 3/4*g**o.
-3*(g - 2)*(g + 1)**3/4
Determine l, given that 0 + 2/3*l**2 + 0*l - 1/3*l**4 - 1/3*l**3 = 0.
-2, 0, 1
Factor 1083/8 + 3/8*q**2 + 57/4*q.
3*(q + 19)**2/8
Let c(p) = 17*p**2 + 4*p - 13. Let m(s) = 8*s**2 - 1 + 2*s - 6 + 1. Let l(t) = -4*c(t) + 9*m(t). What is j in l(j) = 0?
-1, 1/2
Let i be -3 - ((-6)/2 + -2). Let u(m) be the first derivative of 1/3*m**3 + 1/8*m**4 + 0*m + 0*m**i + 1. Determine f so that u(f) = 0.
-2, 0
Let i = 3 + -1. Suppose 0 = u - k - 3*k - 23, 4*k = 5*u - 35. Factor -m**2 + 2*m - m**i - 5*m**u - m + 6*m**3.
m*(m - 1)**2
Let o be (-13)/(-4) + -4 + 1. Solve -1/4*d**3 + 1/4*d**4 + 0*d + 0 + o*d**5 - 1/4*d**2 = 0 for d.
-1, 0, 1
Suppose -3*u = 2*u - 45. Let v be 2 + u/3 + -2. Factor 2/3*r**2 + 2/3*r + 0 - 2/3*r**4 - 2/3*r**v.
-2*r*(r - 1)*(r + 1)**2/3
Let q(p) = -p. Let m be q(-2). Factor 0*a**3 + 2*a + 0*a + 0*a**3 - m*a**3 + 2*a**4 - 2*a**2.
2*a*(a - 1)**2*(a + 1)
Let d(x) = -5*x - 15. Let o be d(-3). Let n(j) be the third derivative of -1/80*j**5 + 0*j**3 + 1/120*j**6 + 4*j**2 - 1/96*j**4 + o + 0*j. Factor n(h).
h*(h - 1)*(4*h + 1)/4
Let o(h) be the second derivative of -h**6/135 - h**5/45 - h**4/54 + 4*h. What is n in o(n) = 0?
-1, 0
Let w = 9 + -3. Suppose a - 4*a + 1 - 6*a - 7 + w*a**2 = 0. Calculate a.
-1/2, 2
Let o be 0 - (0 - (-4)/(-2)). Suppose 17 = 2*p - 0*y + 3*y, -23 = -o*p - 5*y. Determine f so that 1/2 - f**2 - 3/2*f - 3/2*f**5 + 1/2*f**p + 3*f**3 = 0.
-1, 1/3, 1
Let c(m) be the first derivative of -m**6/180 + m**5/15 - m**4/3 - 2*m**3/3 + 4. Let q(x) be the third derivative of c(x). Suppose q(w) = 0. Calculate w.
2
Let o(j) be the third derivative of j**8/504 - 2*j**7/315 - j**6/90 + 4*j**5/45 - 7*j**4/36 + 2*j**3/9 - 8*j**2. Factor o(q).
2*(q - 1)**4*(q + 2)/3
Let a = -46 - -51. Let m(n) be the second derivative of 1/2*n**4 + 0*n**2 + 0 - 1/10*n**a - 2/3*n**3 + 3*n. Solve m(o) = 0 for o.
0, 1, 2
Let x be 0 + (2 + 0 - 2). Suppose 4*o - 18 - 2 = x. Determine z, given that 3*z**5 - 3*z**3 + 6*z**4 - 3*z**o + 0*z**3 - 3*z**5 = 0.
0, 1
Suppose -3/2*s**5 + 0*s**2 + 0*s**4 + 0 + 12*s**3 - 24*s = 0. Calculate s.
-2, 0, 2
Let n(u) be the first derivative of -u**4/48 - u**3/24 + 2*u - 2. Let z(d) be the first derivative of n(d). Factor z(j).
-j*(j + 1)/4
Suppose -11*m = -10*m - 5. Let j(i) be the second derivative of -1/8*i**2 - 1/80*i**m + 1/48*i**4 - 2*i + 1/24*i**3 + 0. What is v in j(v) = 0?
-1, 1
Let d = -29 - -91/3. Factor 0 + 2/3*y**2 + d*y.
2*y*(y + 2)/3
Let i(n) be the third derivative of 1/672*n**8 + 0*n**6 + 0*n**3 + 0 + 0*n**4 + 3*n**2 - 1/420*n**7 + 0*n + 0*n**5. Determine y, given that i(y) = 0.
0, 1
Let q(g) = g**2 - 11*g + 6. Let t be q(7). Let j be (-6)/33 + (-15)/t. Solve 1/2 + j*n**2 - n = 0.
1
Let j(q) be the third derivative of -2*q**7/35 + q**6/30 + q**5/5 - q**4/6 - 7*q**2. Factor j(i).
-4*i*(i - 1)*(i + 1)*(3*i - 1)
Let t(i) be the third derivative of -i**7/2520 + i**6/180 - i**5/30 + i**4/4 - 3*i**2. Let l(j) be the second derivative of t(j). Solve l(o) = 0.
2
Let q(b) = -3*b**2 + 29*b - 48. Let w(j) = -j. Let s(a) = -a**2 + 4*a. Let k be s(5). Let h(c) = k*w(c) - q(c). Factor h(x).
3*(x - 4)**2
Let k(v) be the third derivative of 1/42*v**5 + 0 + 3*v**2 + 0*v - 1/84*v**4 - 1/140*v**6 - 1/21*v**3. Determine x, given that k(x) = 0.
-1/3, 1
Let q(c) = -2*c - 7. Let w be q(-5). Let f(a) = a**3 + a**2 + a + 1. Let b(h) = -6*h**3 - 3*h**2 - 3. Let n(t) = w*f(t) + b(t). Factor n(j).
-3*j*(j - 1)*(j + 1)
Factor 0 + 32/11*s + 32/11*s**5 + 240/11*s**4 + 386/11*s**3 - 240/11*s**2.
2*s*(s + 4)**2*(4*s - 1)**2/11
Let j(f) = -5*f**4 + 6*f**3 - 3*f**2 + 4*f - 6. Let i(b) = 14*b**4 - 17*b**3 + 9*b**2 - 11*b + 17. Let h(q) = -6*i(q) - 17*j(q). Let h(g) = 0. What is g?
-1, 0, 2
Let w be (-3)/(-4*(28/(-16) - -2)). Factor 2/9*r**4 - 4/9 - 2/9*r**w - 2/3*r**2 + 10/9*r.
2*(r - 1)**3*(r + 2)/9
Suppose 9*l - 5*l - 12 = 0. Let z(j) be the first derivative of 1 - 1/10*j**5 + 0*j + 0*j**2 + 0*j**l + 1/8*j**4. Factor z(x).
-x**3*(x - 1)/2
Let k = 14 + -9. Suppose k*a = -2*u + 120, -a - 4 + 6 = -4*u. Solve a*v**2 + 2/3 + 32/3*v**4 - 80/3*v**3 - 20/3*v = 0.
1/4, 1
Let -4/11 + 2/11*j + 2/11*j**2 = 0. What is j?
-2, 1
Suppose 4*j + 0*j - 8 = 0. Suppose -5 = -j*u - 1. Factor -8 - u*t**3 + 8 - 2*t**2.
-2*t**2*(t + 1)
Let n(f) be the third derivative of 5*f**8/1008 - 2*f**7/63 + 5*f**6/72 - f**5/18 + 11*f**2. Factor n(r).
5*r**2*(r - 2)*(r - 1)**2/3
Let s be 1/2*(-7 - -3). Let h be (-2)/(-7) - (2 + s). Factor -h*o**3 - 2/7 - 6/7*o - 6/7*o**2.
-2*(o + 1)**3/7
Let s(k) be the third derivative of k**5/80 - 3*k**4/32 - k**3/2 - 7*k**2. Find u, given that s(u) = 0.
-1, 4
Let w(i) be the first derivative of 4*i**3/3 - 6. Factor w(s).
4*s**2
Factor 4/3 - 4/3*n - 19/3*n**2 + 10/3*n**3.
(n - 2)*(2*n + 1)*(5*n - 2)/3
Suppose -m - 1 = 10. Let b be 4/(-14) - m/14. What is j in 1/2*j**2 + 0 - b*j = 0?
0, 1
Let u(y) = -4*y**2 + 12*y - 8. Let o(c) = -2*c**2 + 6*c - 4. Let p(i) = -9*o(i) + 4*u(i). What is r in p(r) = 0?
1, 2
Factor -6*q + 6*q + 11*q + 6*q**2 - 2*q - 6.
3*(q + 2)*(2*q - 1)
Let t be 0/2 + 3*10/45. Factor 5/3*o**4 + 0*o + 0 - o**3 - t*o**2.
o**2*(o - 1)*(5*o + 2)/3
Let q(z) = -z**3 + 3*z**2 + 4*z + 3. Let u be q(4). Solve -5 - r + 5 + r**u = 0.
-1, 0, 1
Solve 2 + 10*v + 58*v**3 + 12*v**2 - 50*v**3 - 2*v + 2*v**4 = 0.
-1
Suppose -1/9 + 1/9*t + 1/9*t**2 - 1/9*t**3 = 0. Calculate t.
-1, 1
Let c(a) be the second derivative of a**8/2016 - a**7/630 + a**6/720 - 3*a**2/2 + a. Let q(l) be the first derivative of c(l). Suppose q(t) = 0. What is t?
0, 1
Let f = 13 + -9. Let v = f + -1. Factor -u**v + 3*u + 2 + 0*u + 0*u**3.
-(u - 2)*(u + 1)**2
Let c(q) be the second derivative of 0 + 2*q + q**2 + 1/21*q**7 + 1/3*q**3 - 1/3*q**4 - 1/5*q**5 + 1/15*q**6. Find n, given that c(n) = 0.
-1, 1
Let o(k) be the second derivative of -k**7/105 - k**6/25 + k**5/5 - 59*k. Factor o(q).
-2*q**3*(q - 2)*(q + 5)/5
Let 3/4*p**3 - 9/4*p**2 + 0*p + 3 = 0. What is p?
-1, 2
Let m(b) be the third derivative of b**8/3360 - b**7/1260 - b**6/360 + b**5/60 + b**4/8 - 4*b**2. Let w(t) be the second derivative of m(t). Solve w(v) = 0.
-1, 1
Let c(h) be the second derivative of -2*h**7/105 + 7*h**6/50 - 33*h**5/100 + 19*h**4/60 - h**3/10 - 49*h. What is b in c(b) = 0?
0, 1/4, 1, 3
Let j(o) be the third derivative of 2*o**7/105 - o**6/15 - o**5/5 + 2*o**4/3 + 8*o**3/3 - 4*o**2. Factor j(p).
4*(p - 2)**2*(p + 1)**2
Suppose -75*y + 75*y + 5*y**2 = 0. Calculate y.
0
Suppose 0 = i - 8 + 6. Let f(l) be the first derivative of 0*l**i + 0*l + 0*l**3 + 2 - 1/18*l**4. Factor f(r).
-2*r**3/9
Let z = -1030 - -9280/9. Suppose 2/9*r + 8/9*r**3 - z*r**2 + 0 = 0. Calculate r.
0, 1/4, 1
Let j(p) = -p**2 + 11*p + 12. Let u(q) be the third derivative of -q**5/20 + 7*q**4/8 + 4*q**3 - 6*q**2. Let c(s) = -5*j(s) + 3*u(s). Factor c(x).
-4*(x - 3)*(x + 1)
Let u be -