 1/2*d**3 + 1/60*d**5 + 0*d - 3*d**2. Suppose u(t) = 0. What is t?
1, 3
Let g be (18 + -17)*(2 + 0). Suppose -21*n**2 - 3*n**3 + 0*n**3 - 30*n**2 - 3*n + 57*n**g = 0. Calculate n.
0, 1
Let i be (-12)/684*-19 - 1/3. Factor i - 8/3*r**4 + 0*r + 8/3*r**3 + 2/3*r**5 + 0*r**2.
2*r**3*(r - 2)**2/3
Let x(u) = -5*u**3 - 2*u**2 + 26*u - 10. Let i(w) = -w**3 + w**2 + w + 1. Let n(r) = 6*i(r) - x(r). Factor n(k).
-(k - 4)*(k - 2)**2
Factor -5/3*f**4 + 10*f**3 + 0*f**2 - 160/3*f + 0.
-5*f*(f - 4)**2*(f + 2)/3
Suppose 0*r + 4*r - 3*b - 35 = 0, 4*r = -5*b - 5. Let v(i) be the first derivative of -1/10*i**4 + 1/5*i**2 + 2/15*i**3 + 0*i + 1 - 2/25*i**r. Factor v(z).
-2*z*(z - 1)*(z + 1)**2/5
Let j = -301 + 305. Suppose -5*c = -j*c - 3*y - 3, 3*c + 3*y - 9 = 0. Solve 0*s**2 + 1/2*s**c + 1/4 - 1/4*s**4 - 1/2*s = 0.
-1, 1
Suppose -3*z + 6*z = 4*y - 593, 0 = -z - 5*y - 166. Let k = z + 391/2. Factor 0 + k*v**2 - 3*v**3 - 3/2*v.
-3*v*(v - 1)*(2*v - 1)/2
Let v(j) = j**4 - 5*j**3 + 6*j. Let p(g) = g**3 - g. Let k(s) = -6*p(s) - v(s). Determine h, given that k(h) = 0.
-1, 0
Let i(w) be the third derivative of w**8/112 + 13*w**7/35 + 23*w**6/10 + 22*w**5/5 + 278*w**2. Suppose i(c) = 0. Calculate c.
-22, -2, 0
Let p = -18138 + 18138. Let p*t + 0 - 2/11*t**2 + 8/11*t**3 = 0. Calculate t.
0, 1/4
Suppose -4*f + 9 + 7 = 0, 3*d - 74 = -5*f. Suppose -4*w = -w - d. Solve -w*o - 4/3 - 14/3*o**2 = 0.
-1, -2/7
Suppose 0 = -2*r - 6, 2 = s + 3*r + 7. Let 25/3*v**3 - 20/3*v**2 + 5/3*v - 10/3*v**s + 0 = 0. What is v?
0, 1/2, 1
Let j(q) be the third derivative of 0 + 0*q + 45*q**2 + 1/24*q**3 + 3/64*q**4 + 1/120*q**5. Factor j(r).
(r + 2)*(4*r + 1)/8
Factor 404/7*k + 4/7*k**2 - 408/7.
4*(k - 1)*(k + 102)/7
Let s(d) be the third derivative of -d**5/48 - 5*d**4/12 + 25*d**3/6 + 66*d**2. Solve s(p) = 0.
-10, 2
Let a(o) be the second derivative of -3*o**6/2 + 3*o**5/2 + 55*o**4/12 - 10*o**3/3 - 10*o**2 + 49*o. Solve a(x) = 0 for x.
-2/3, 1
Suppose 2*u - u = 15. Let l be (5/u)/((-2)/24*-10). Factor 2/5*c**2 + 0 + l*c.
2*c*(c + 1)/5
Let k(a) = -a**2 + 12*a - 10. Let h be k(13). Let x = -21 - h. Let -4*i**3 - 4*i**3 - 20*i + 16*i**x + 4*i**3 + 15 - 7 = 0. What is i?
1, 2
Let c(d) be the first derivative of -2*d + 1/6*d**2 - 5 + 1/12*d**4 + 1/6*d**3 + 1/60*d**5. Let g(i) be the first derivative of c(i). Factor g(a).
(a + 1)**3/3
Let s = -328 - -332. Let y = -25081/15 + 1673. Solve 2/5*z**3 - 4/15*z + 0 - y*z**s + 2/5*z**5 + 2/5*z**2 = 0 for z.
-2/3, 0, 1
Let t be 8/(-2) - (528/(-32) + 12). Factor -1/6*h**2 - 1/3*h + t.
-(h - 1)*(h + 3)/6
Let w(z) be the first derivative of -z**8/192 + z**7/42 - 11*z**6/288 + z**5/48 - 3*z**3 - 11. Let a(j) be the third derivative of w(j). Factor a(s).
-5*s*(s - 1)**2*(7*s - 2)/4
Let m(u) be the third derivative of 1/12*u**4 - 1/240*u**6 + 0*u**3 - 1/40*u**5 + 0*u - 18*u**2 + 0. Suppose m(o) = 0. Calculate o.
-4, 0, 1
Let s(x) be the first derivative of -3/7*x**2 + 12 - 4/7*x - 2/21*x**3. Find a such that s(a) = 0.
-2, -1
Let h = -1055 - -425. Let c be (-522)/h - ((-2)/(-5) + 0). Factor 0*p - 1/7*p**3 + 0 + c*p**2 + 1/7*p**5 - 3/7*p**4.
p**2*(p - 3)*(p - 1)*(p + 1)/7
Suppose -602 - 142 = -12*a. Let w = a + -62. What is b in 0 + 0*b**2 - 2/11*b**3 + 2/11*b**4 + w*b = 0?
0, 1
Let i(x) = -68*x**3 + 62*x**2 - 2*x + 2. Let w(q) = -q**4 - 2*q**2 - q + 1. Let u(n) = -i(n) + 2*w(n). Factor u(f).
-2*f**2*(f - 33)*(f - 1)
Let -162/11*t**2 - 134/11*t + 4/11*t**4 - 34/11 - 58/11*t**3 = 0. Calculate t.
-1, -1/2, 17
Let 30 + 85/3*l**3 + 95*l + 250/3*l**2 + 10/3*l**4 = 0. Calculate l.
-3, -2, -1/2
Let r be 3 - -3 - (0 - -1). Let p = 7 - r. Suppose 12*m**3 - 2*m**p + 7*m**2 - 2*m**2 = 0. What is m?
-1/4, 0
Let y be 4/(-7)*((-3)/12*78 + 16). Determine u so that -7/2*u**3 + 13/2*u**y - 9 + 3/2*u + 1/2*u**4 = 0.
-1, 2, 3
Let t = 122 + -112. Let g be (-2 - (-14)/t)/((-15)/10). Solve -g*c + 1/5*c**2 + 1/5*c**3 + 0 = 0.
-2, 0, 1
Let j = 201 - 195. Let q(t) be the first derivative of -8/5*t**5 - 7/2*t**2 - j*t**3 - t - 5*t**4 + 5. What is m in q(m) = 0?
-1, -1/2
Let k be (-24)/(1680/(-1274)) + -16. Factor -81/5*m**2 - k*m**4 + 0 - 54/5*m - 9*m**3 - 1/5*m**5.
-m*(m + 2)*(m + 3)**3/5
Let l(x) = x**2 + 14*x + 3. Suppose -d + 28 = -3*d. Let j be l(d). Factor -4*h + j*h + 3*h**2 + 4*h + 3*h.
3*h*(h + 2)
Suppose 53*o**2 - 2203 - 1784*o - 196713 - 57*o**2 = 0. What is o?
-223
Let s(u) be the third derivative of 5*u**8/336 + u**7/42 - u**6/4 + 221*u**2 - 2*u. Factor s(d).
5*d**3*(d - 2)*(d + 3)
Let v be (66/(-132))/(1/(-10)). Let c(u) be the third derivative of 0 - 1/75*u**v + 10*u**2 + 1/300*u**6 + 0*u**3 + 0*u**4 + 0*u. Factor c(o).
2*o**2*(o - 2)/5
Let w(a) be the third derivative of -a**8/168 + a**6/20 - a**5/15 - 17*a**2. Factor w(s).
-2*s**2*(s - 1)**2*(s + 2)
Let r be 7 - (-1)/((-3)/6). Suppose 4*c - r = a, -3*a = -c + 2*a - 13. Solve -45*d**4 - 36*d**5 + 5*d**2 - 9*d**c - 28*d**3 - 15*d**4 = 0 for d.
-1, -1/3, 0
What is l in 8/5*l**2 - 14/5 - 54/5*l = 0?
-1/4, 7
Let d(j) = -j + 8. Let o = 14 - 8. Let z be d(o). Suppose -h - h**3 - 3*h**z - 3*h**2 + 8*h**2 = 0. What is h?
0, 1
Let z be (-6)/33 - (-513)/1188. Let i(f) be the second derivative of -3/2*f**2 + f**3 - z*f**4 - 8*f + 0. Determine x, given that i(x) = 0.
1
Let s(u) be the third derivative of u**7/280 - u**6/40 + 3*u**5/40 - u**4/8 + 2*u**3/3 + 13*u**2. Let t(a) be the first derivative of s(a). Factor t(n).
3*(n - 1)**3
Let o(w) be the third derivative of w**8/168 + w**7/21 - 7*w**6/30 + w**5/15 + 13*w**4/12 - 7*w**3/3 - 28*w**2 + 3. Solve o(h) = 0 for h.
-7, -1, 1
Let i(p) be the third derivative of 0*p**4 + 0*p - 5/6*p**5 + 0*p**3 + 7/24*p**6 + 0 - 1/42*p**7 + 5*p**2. Factor i(s).
-5*s**2*(s - 5)*(s - 2)
Factor -36/5*c - 34/5 - 2/5*c**2.
-2*(c + 1)*(c + 17)/5
Let y(u) = -347*u**2 + 22*u + 10. Let m(f) = 520*f**2 - 32*f - 14. Let n(i) = 5*m(i) + 7*y(i). Factor n(d).
3*d*(57*d - 2)
Let f(k) be the first derivative of 8*k**6/9 - 16*k**5/5 + 13*k**4/3 - 8*k**3/3 + 2*k**2/3 + 160. Factor f(q).
4*q*(q - 1)**2*(2*q - 1)**2/3
Let s = 306 + -303. Let i(g) be the first derivative of -2/39*g**s + 0*g - 1/13*g**2 + 3. Factor i(l).
-2*l*(l + 1)/13
Let d(k) = -2*k**2 - 12*k - 5. Let h be d(-8). Let q = h - -42. Factor -1/5*u**q + 0*u + 0*u**4 + 0*u**2 + 1/5*u**3 + 0.
-u**3*(u - 1)*(u + 1)/5
Let v(w) = w**4 - 1 + 2 - w**2 + 35*w**3 - 2*w + w - 34*w**3. Let d(n) = -4*n**4 + 16*n**3 - 6*n**2 - 16*n + 11. Let k(i) = d(i) - v(i). Factor k(f).
-5*(f - 2)*(f - 1)**2*(f + 1)
Let w(u) be the second derivative of 3*u**5/50 - 4*u**3/45 - 8*u. Factor w(i).
2*i*(3*i - 2)*(3*i + 2)/15
Let k(q) be the second derivative of q**5/210 - 5*q**4/84 - 2*q**3/7 - 10*q**2 + 19*q. Let u(g) be the first derivative of k(g). Find t such that u(t) = 0.
-1, 6
Let c = 148 + -145. Suppose 0*i - 2*m - 2 = -4*i, -2*i - c*m = -13. Solve 0 + 1/3*g**i - 1/3*g**3 + 1/3*g**5 - 1/3*g**4 + 0*g = 0 for g.
-1, 0, 1
Let x(p) be the third derivative of -p**8/2016 - p**7/630 + p**6/240 + 8*p**2 - 15. Factor x(a).
-a**3*(a - 1)*(a + 3)/6
Suppose 0 = 5*j + 4*l - 29, -22 = -4*j - 0*l - 2*l. Let g(q) = q**2 + 6*q - 8. Let t(d) = d**2 + 7*d - 8. Let x(z) = j*g(z) - 4*t(z). Solve x(n) = 0.
-4, 2
Find f, given that -f**2 - 3225*f**3 - 11*f**2 + 4*f + 3230*f**3 = 0.
0, 2/5, 2
Let l(i) = 2*i - 9. Let b be l(8). Let c = b + -2. Factor -3*t - c + 5 + 3*t**2.
3*t*(t - 1)
Suppose 2*s - 7 - 1 = 0, 2*s = -5*i + 68. Let y be 4/14 + (-52)/(-14). Determine p, given that -p**3 - i*p**2 + p - p**4 + 0*p**y + 13*p**2 = 0.
-1, 0, 1
Suppose -88*o = -135 - 46 + 5. Factor -1/2 - 1/4*h + 1/2*h**o + 1/4*h**3.
(h - 1)*(h + 1)*(h + 2)/4
Let w(c) = c**2 + 2*c + 1. Let n be w(-3). Let y be ((-8)/n)/(2/(-3)). Solve 1 - 1 + 20*q**2 - 12*q**y - 15*q + 13*q**2 - 6 = 0 for q.
-1/4, 1, 2
Find x such that -25281/2*x - 3/2*x**3 - 477/2*x**2 - 446631/2 = 0.
-53
Let w(a) be the third derivative of 2*a**7/735 + 13*a**6/210 + 19*a**5/35 + 95*a**4/42 + 100*a**3/21 - 2*a**2 - 154. Factor w(v).
4*(v + 1)*(v + 2)*(v + 5)**2/7
Suppose g + 3*g = 20. Suppose 3 + g = h. Suppose 2*f**3 + 6*f - 2 - h*f + 2 = 0. What is f?
-1, 0, 1
Factor 1/3*b**3 + 85184/3 + 1936*b + 44*b**2.
(b + 44)**3/3
Factor -50*c + 135*c - 5*c**4 + 24*c**2 - 30 - 87*c**2 + 35*c**3 - 22*c**2.
-5*(c - 3)*(c - 2)*(c - 1)**2
Let j(r) be the second derivative 