1/80*r**n + 3*r + 1/24*r**4 + 0*r**2 + 0. Find s, given that u(s) = 0.
0, 1
Suppose -s**2 + 1 - 4*s**3 + 4*s - 2 + 2 + 0 = 0. What is s?
-1, -1/4, 1
Suppose -6*z + 89 = -2*z + 3*j, -5*z + 140 = -2*j. Let a = z - 76/3. Suppose a - y**2 + 1/3*y = 0. Calculate y.
-2/3, 1
Let o(t) = t + 38. Let x be o(-35). Let 7/5*k**x + 0*k - 2/5*k**2 + 0 = 0. What is k?
0, 2/7
Suppose 2*g + 2*g = 12. Factor -9*a - 9*a**2 + 0*a - 3*a - g.
-3*(a + 1)*(3*a + 1)
Let y be 2/2 + 2 + -1. Let n be 4/14 + -10*(-148)/210. Determine z so that -10*z**2 - y*z**4 - 4/3 - 6*z - n*z**3 = 0.
-1, -2/3
Let h(t) be the second derivative of -t**5/80 + t**4/48 - t. Factor h(y).
-y**2*(y - 1)/4
Suppose -3*p = -6*p + 6. Factor -p*k**3 + k - 3*k**2 - 3*k + 2*k**3 + k**4.
k*(k - 2)*(k + 1)**2
Let d(b) = -32*b**3 - 144*b**2 - 150*b - 42. Let x(a) = -a - 1. Let k(j) = -d(j) - 12*x(j). Find c such that k(c) = 0.
-3, -3/4
Let u = 16 - 6. Determine l, given that 10*l - u*l + l**3 - l**2 = 0.
0, 1
Factor 36/7*u - 12/7 + 3*u**2.
3*(u + 2)*(7*u - 2)/7
Factor -6*j**2 - 3 - 2*j + j**3 + 10*j**2 - j**4 + j**3.
-(j - 3)*(j - 1)*(j + 1)**2
Factor 12*d - 6*d**4 - 9*d**3 + 3*d**5 + 0*d**2 + 4*d**2 + 8*d**2.
3*d*(d - 2)**2*(d + 1)**2
Let a = 225 + -225. Suppose 0*j + 3*j = 0. Suppose a*g - 2/9*g**2 - 2/9*g**5 + j - 2/3*g**4 - 2/3*g**3 = 0. What is g?
-1, 0
Let z = -21 + 21. Let l(p) be the third derivative of -16/945*p**7 + 0 - 3*p**2 - 2/135*p**6 + 0*p**3 + 0*p + z*p**4 - 1/270*p**5. Factor l(v).
-2*v**2*(4*v + 1)**2/9
Let y(k) = -k**5 - 3*k**4 + k**3 + 3*k. Let z(u) = -u**4 + u. Let c(d) = y(d) - 3*z(d). Suppose c(a) = 0. Calculate a.
-1, 0, 1
Factor -10/7*m**5 - 36/7*m**4 + 6/7*m - 16/7*m**2 + 4/7 - 44/7*m**3.
-2*(m + 1)**4*(5*m - 2)/7
Let t = -1/25 - -63/325. Factor 4/13*f**3 + 4/13*f**2 - 2/13*f**4 - 2/13*f**5 - t*f - 2/13.
-2*(f - 1)**2*(f + 1)**3/13
Let k(y) = -2*y**3 + 4*y**2 - 4*y. Let v(h) = -h**3 + 4*h**2 - 3*h. Let p(u) = -3*k(u) + 4*v(u). Factor p(c).
2*c**2*(c + 2)
Let w(f) be the first derivative of 0*f**4 + 0*f + 0*f**3 - 1/150*f**5 + 1/2*f**2 + 2. Let o(b) be the second derivative of w(b). Factor o(g).
-2*g**2/5
Suppose -6*q - 420 = -2*q. Let o be ((-12)/q)/(2/5). Factor 0 - 2/7*i**2 + 2/7*i**3 - 2/7*i + o*i**4.
2*i*(i - 1)*(i + 1)**2/7
Let y be 3 - (4 + -1 + -2). Find k such that -6*k**4 + 2*k**2 + 5*k**y + 3*k**3 + 0*k**5 - k**2 - 3*k**5 = 0.
-2, -1, 0, 1
Let c(v) be the second derivative of -v**7/10 + 3*v**6/10 - 3*v**5/20 - v**4/4 + v**2/2 - 2*v. Let b(m) be the first derivative of c(m). Solve b(f) = 0 for f.
-2/7, 0, 1
Let v = -2/63 - -73/315. Let g(u) = u**3 - 2*u**2. Let c be g(2). Factor v*d**3 + 0 + 2/5*d**2 + c*d.
d**2*(d + 2)/5
Let x(a) = -a**2 - a + 4. Let w be x(-2). Determine g, given that -2/3*g + 0 - 2/3*g**w = 0.
-1, 0
Let d(v) be the third derivative of v**6/720 + v**5/240 - v**4/24 - v**3/3 - v**2. Let m(k) be the first derivative of d(k). Factor m(a).
(a - 1)*(a + 2)/2
Let r be -3 + -2 + (-104)/(-16). Determine k so that 0 + 3/2*k**4 - 6*k**2 - r*k**3 + 6*k = 0.
-2, 0, 1, 2
Let k(l) = 4*l**3 - l**2. Let d = -8 - -9. Let r be k(d). What is u in -u**2 - 15*u + 3*u**5 + 5*u**3 + u**2 + 6 - 12*u**4 + 7*u**r + 6*u**2 = 0?
-1, 1, 2
Suppose 5*k = 4*w + 12, -w = -5*k + 3*k + 3. Suppose -31 = -3*v - 5*p, k*v + v + 3 = p. Determine n, given that 18*n**v + 8/5 + 10*n**3 + 48/5*n = 0.
-1, -2/5
Let i(s) be the second derivative of -16*s**7/105 - 8*s**6/75 + 7*s**5/50 - s**4/30 - 3*s. Factor i(v).
-2*v**2*(v + 1)*(4*v - 1)**2/5
Let w(s) be the second derivative of 0*s**2 + 1/3*s**3 + 0 - 1/60*s**5 + 4*s - 1/180*s**6 + 0*s**4. Let o(r) be the second derivative of w(r). Factor o(l).
-2*l*(l + 1)
Factor -10*z**2 - 105*z**3 - 100*z**3 + 203*z**3.
-2*z**2*(z + 5)
Let p(m) be the second derivative of -m**7/42 + m**6/3 - 19*m**5/10 + 17*m**4/3 - 19*m**3/2 + 9*m**2 - 68*m. Let p(d) = 0. Calculate d.
1, 2, 3
Let q = 3 - 0. Let a(c) = 2*c + 2. Let w be a(0). Solve -10*d**w + 3*d**3 + 0*d**q + 13*d**2 = 0 for d.
-1, 0
Let i be 48/(-10)*-5*(-24)/(-80). Factor -12/5 - i*z - 18/5*z**3 - 3/5*z**4 - 39/5*z**2.
-3*(z + 1)**2*(z + 2)**2/5
Let b(n) be the second derivative of -2/3*n**3 + 2*n - 1/6*n**4 + 3*n**2 + 0. Factor b(x).
-2*(x - 1)*(x + 3)
Let g(x) be the second derivative of 0*x**4 + 1/2*x**2 - 1/3*x**3 - 1/30*x**6 + 1/10*x**5 + 0 - 3*x. Factor g(u).
-(u - 1)**3*(u + 1)
Let b(y) = -y**2 - 6*y - 5. Let o be b(-4). Let x(t) be the second derivative of 0*t**2 + t + 0*t**o - 1/6*t**4 - 1/15*t**6 - 1/5*t**5 + 0. Factor x(s).
-2*s**2*(s + 1)**2
Let m(l) be the third derivative of -6*l**2 + 0 - 2/15*l**3 + 1/20*l**4 + 0*l - 1/300*l**6 + 0*l**5. Determine t, given that m(t) = 0.
-2, 1
Let v(z) = 40*z**5 + 15*z**4 - 105*z**3 - 25*z**2 + 25*z. Let j(n) = -5*n**5 - 2*n**4 + 13*n**3 + 3*n**2 - 3*n. Let c(s) = 25*j(s) + 3*v(s). Solve c(r) = 0.
-2, 0, 1
Let u(x) be the second derivative of 125*x**7/42 + 40*x**6/3 + 97*x**5/4 + 139*x**4/6 + 38*x**3/3 + 4*x**2 - 5*x. Factor u(r).
(r + 1)**2*(5*r + 2)**3
Let u(n) be the third derivative of 1/8*n**4 + 1/2*n**3 + 0*n + 1/112*n**8 + 4*n**2 + 0 + 1/70*n**7 - 1/10*n**5 - 1/20*n**6. Factor u(z).
3*(z - 1)**2*(z + 1)**3
Let s(j) be the third derivative of -j**8/60480 + j**7/7560 + j**5/20 - 4*j**2. Let t(b) be the third derivative of s(b). Factor t(u).
-u*(u - 2)/3
Suppose -26 = -4*d - 2*w, -d + w + 4 - 5 = 0. Solve 1/2*i**2 - 1/2*i**5 + 0 - 1/2*i**d + 1/2*i**3 + 0*i = 0.
-1, 0, 1
Let v(c) be the third derivative of c**6/120 - c**5/20 + c**4/8 - c**3/6 + c**2. Factor v(r).
(r - 1)**3
Suppose 4*m = 8*m - 12. Determine v so that 4/9*v**m - 16/9*v**2 - 4/9 + 4/9*v**4 + 14/9*v - 2/9*v**5 = 0.
-2, 1
Let u(v) be the third derivative of 2*v**8/63 + 8*v**7/315 - 7*v**6/180 + v**5/90 - 5*v**2. Factor u(r).
2*r**2*(r + 1)*(4*r - 1)**2/3
Let v be (-20)/(-6)*(-12)/10. Let n(t) = t**3 + t**2 - t - 5. Let j(z) = -z**3 - z**2 + z + 4. Let l(u) = v*j(u) - 3*n(u). Factor l(x).
(x - 1)*(x + 1)**2
Suppose 28 - 19 = 3*y. Let b(i) be the first derivative of 0*i**2 - 2 + 0*i + 1/6*i**y + 3/20*i**5 - 5/16*i**4. Factor b(t).
t**2*(t - 1)*(3*t - 2)/4
Suppose -q = -4*v - 2*q + 13, -4*q = -4*v + 8. Find s, given that s**v - 2*s**3 + 0*s - 2*s**2 - s = 0.
-1, 0
Determine g, given that -4 - 2/3*g**2 - 10/3*g = 0.
-3, -2
Let r(p) be the first derivative of p**3 + 3*p**2/2 - 6*p + 11. Factor r(h).
3*(h - 1)*(h + 2)
Let f(t) be the first derivative of t**6/240 - t**4/16 + t**3/3 - 1. Let x(o) be the third derivative of f(o). Factor x(v).
3*(v - 1)*(v + 1)/2
Let n(f) be the second derivative of 25*f**4/6 + 40*f**3/3 + 16*f**2 + 4*f. Factor n(k).
2*(5*k + 4)**2
Let q be 6/(-4)*(-28)/3. Suppose 0 = 2*i - q + 4. Suppose r**3 + 15*r**5 + 8*r**4 - 3*r**i + 4*r**5 = 0. Calculate r.
-1/4, 0
Suppose -4*n = 12, -19 = 2*z - 7*z + 3*n. Let s(w) be the second derivative of -5/39*w**3 - z*w + 0 + 2/13*w**2 - 7/78*w**4. Suppose s(y) = 0. Calculate y.
-1, 2/7
Let c = 7 - 7. Let s = 1 - -1. Solve -1/4*n**s + 1/4 + c*n = 0 for n.
-1, 1
Let w(u) = -u - 11 + u**2 - u**2 + 12 - u**2. Let b(l) = 63*l**2 - 42*l + 15. Let k(y) = -b(y) + 12*w(y). Factor k(o).
-3*(5*o - 1)**2
Suppose 3*r - 2*h = 2*r + 8, -4*r - h = -23. Suppose -2*z + 5*z = r. Find j such that -3*j**4 + 2*j**4 + 3*j**4 - z*j**2 = 0.
-1, 0, 1
Factor 9*s**2 - 7*s + 3*s**4 - 2*s**4 - 1 + 3 - 5*s**3 + 0*s**4.
(s - 2)*(s - 1)**3
Let k be 2 + 1 + (1 - 1). Suppose -3 = -2*g + 3. Suppose k*n + 5*n**3 - 9*n**3 - n**2 - n**4 + n**g + 2 = 0. What is n?
-2, -1, 1
Let g(c) be the second derivative of 0 + 2*c + 1/3*c**3 + 0*c**2 + 1/12*c**4. Factor g(t).
t*(t + 2)
Find k, given that -1/5*k**2 + 8/5*k - 16/5 = 0.
4
Determine y, given that 1/2*y + 0 - 1/4*y**2 = 0.
0, 2
Let z(r) = r**2 + r. Let b be z(-2). Let q = b + -2. Suppose q + 6/5*s**2 + 6/5*s**3 + 2/5*s + 2/5*s**4 = 0. Calculate s.
-1, 0
Let o(i) be the third derivative of 4*i**5/35 - i**4/42 - i**3/21 + 14*i**2. Factor o(y).
2*(4*y - 1)*(6*y + 1)/7
Let h(s) be the second derivative of s**7/42 + s**6/10 + 3*s**5/20 + s**4/12 - 5*s. Factor h(m).
m**2*(m + 1)**3
Let 2*g - 27*g**3 - 13*g**2 - 5*g**2 - 5*g = 0. What is g?
-1/3, 0
Suppose 3*r + 0*i - 15 = -i, -i + 23 = 5*r. Let x(f) be the second derivative of 0 + f + 1/60*f**5 + 1/6*f**3 + 1/12*f**r + 1/6*f**2. Factor x(p).
(p + 1)**3/3
Let w(s) be the second 