6 + 14479/3. Let -1/3*y**3 + 1/6*y**2 - 1/6*y**4 + 0 + l*y = 0. Calculate y.
-2, -1, 0, 1
Let p = -1 + 1. Suppose -g = 3*g + 3*i, 4*i = 4*g. Find j such that -3*j**2 + p*j**2 - j**3 + 0*j**3 - 2*j + g*j**3 = 0.
-2, -1, 0
Factor 1/4*j**4 - 1 - 2*j + 1/2*j**3 - 3/4*j**2.
(j - 2)*(j + 1)**2*(j + 2)/4
Suppose -3*q = 5*n - 3484, -3*n = 4*q - 0*q - 2086. Factor -2*i**2 + 690 + 4*i - n - 12*i.
-2*(i + 2)**2
Let h(d) be the second derivative of -1/9*d**4 - 2/15*d**5 - 1/27*d**3 + 0*d**2 - 1/63*d**7 + 0 - 2/27*d**6 - 3*d. Factor h(o).
-2*o*(o + 1)**3*(3*o + 1)/9
Let m be (-4)/24 + (-155)/(-30) + 24/(-24). Let g be (2/2)/(14/52). Suppose 46/7*o**m + 2*o**5 + 0 + g*o**2 + 4/7*o + 54/7*o**3 = 0. What is o?
-1, -2/7, 0
Let k be 0 - 7/(21/(-30)). Factor 0 + 5*h**2 - 10*h + h - k + 4*h.
5*(h - 2)*(h + 1)
Let t = 2/3161 + 12626/28449. Factor -t*a + 2/9*a**2 - 2/3.
2*(a - 3)*(a + 1)/9
Let c be 10/25*60/4. Let j(g) be the second derivative of 1/110*g**5 - 1/66*g**4 + 4*g + 0*g**2 + 0 + 1/165*g**c - 1/33*g**3. Factor j(m).
2*m*(m - 1)*(m + 1)**2/11
Let k(r) be the third derivative of r**5/15 - 31*r**4/3 + 1922*r**3/3 + 2*r**2 - 106. Factor k(u).
4*(u - 31)**2
Let l be (4/30)/(-15*(-37)/3330). Factor 6/5*i**2 - l*i**3 - 2/5*i**4 + 8/5*i - 8/5.
-2*(i - 1)**2*(i + 2)**2/5
Let l = 173 + -173. Let p(u) be the third derivative of 0*u + 1/1050*u**7 + 0*u**5 + 1/200*u**6 - 1/30*u**4 + 9*u**2 + 0*u**3 + l. Factor p(a).
a*(a - 1)*(a + 2)**2/5
Suppose 2*u - 4*u = -12. Let c be u/9 - 4/6. Factor -3*h**2 - h - 3 - 5*h + c.
-3*(h + 1)**2
Let c(s) be the first derivative of s**4/36 - s**2/6 - 2*s/9 + 205. Find d such that c(d) = 0.
-1, 2
Let v(z) be the first derivative of 28*z**3/3 + 102*z**2 + 56*z + 230. Suppose v(p) = 0. Calculate p.
-7, -2/7
Let p(b) be the third derivative of 1/300*b**6 + 0*b**3 + 0 + 0*b - 1/20*b**4 + 1/75*b**5 + 35*b**2. Factor p(f).
2*f*(f - 1)*(f + 3)/5
Factor -1014*s**3 - 3*s**2 - 7*s**2 - 8*s + 1013*s**3 + 3*s**2 + 16.
-(s - 1)*(s + 4)**2
Let v(q) be the first derivative of -q**4/2 - 56*q**3/3 + 91*q**2 - 124*q - 291. Factor v(y).
-2*(y - 2)*(y - 1)*(y + 31)
Let w(u) be the second derivative of u**4/42 + 110*u**3/7 + 27225*u**2/7 + 457*u. Factor w(o).
2*(o + 165)**2/7
Suppose 2*x = 2*g + 5*x - 815, -2*g = 2*x - 810. Let l be (2/(-7) + g/224)/6. Find t, given that -5/8*t + 5/8*t**3 - l + 1/4*t**2 = 0.
-1, -2/5, 1
Let t be (-1)/17 + 3 + 99/(-51). Factor 1/4*o**2 - t - 3/4*o.
(o - 4)*(o + 1)/4
Let w(p) = p**3 + 8*p**2 + 8*p + 10. Let q(l) = l**2 - 5*l - 3. Let t be q(4). Let j be w(t). Solve -j + 1 - 3*o**3 + 2 - 3*o**2 = 0.
-1, 0
Let w(z) be the third derivative of -z**11/665280 - z**10/302400 + 11*z**5/60 - 11*z**2. Let q(o) be the third derivative of w(o). Factor q(n).
-n**4*(n + 1)/2
Let c(b) be the third derivative of -1/9*b**4 + 0 - 2/9*b**3 - 1/120*b**6 - 26*b**2 + 0*b + 11/180*b**5. Factor c(u).
-(u - 2)**2*(3*u + 1)/3
Let i(x) be the first derivative of x**6/3 + 10*x**5/3 + x**4/2 - 82*x**3/9 - 2*x**2 + 32*x/3 + 343. What is o in i(o) = 0?
-8, -1, 2/3, 1
Let h(k) be the third derivative of k**6/240 + 9*k**5/40 + 65*k**4/16 + 169*k**3/12 - 303*k**2. Factor h(a).
(a + 1)*(a + 13)**2/2
Determine q so that 15 - 1317 - 3*q**2 - 1581 + 186*q = 0.
31
Solve 2*i**5 + 8/9 - 32/9*i + 14/9*i**3 + 34/9*i**2 - 14/3*i**4 = 0.
-1, 2/3, 1
Suppose 0*a + a + b = 1, 4*a - 2*b = 28. Suppose -5 = 4*i - a*i. Solve 14*f**2 - 3*f - 18*f**3 - 5*f**4 - 2*f**2 + 17*f**4 - 3*f**i = 0.
0, 1
Let g = -21 + 18. Let c(d) = -d**3 - 5*d**2 - 7*d - 1. Let p be c(g). Solve 4/3*v + 2/3 + 2/3*v**p = 0 for v.
-1
Suppose 360/7*g**2 - 69/7*g**3 + 108/7*g - 3*g**4 + 0 = 0. What is g?
-6, -2/7, 0, 3
Let z be ((-168)/(-45))/7 - (-2)/(-10). Let f(x) be the first derivative of -z*x + 1/4*x**2 - 1/18*x**3 + 1. Factor f(i).
-(i - 2)*(i - 1)/6
Let v = -1003/45 + 206/9. Factor 2/5*m - v*m**2 + 3/5*m**4 + 0 - 2/5*m**3.
m*(m - 1)*(m + 1)*(3*m - 2)/5
Suppose s = 4 + 2. Let q be 112/s + 0/3. Factor 8/3 + 30*m**2 + q*m.
2*(5*m + 2)*(9*m + 2)/3
Let j(o) = -o**2 - 14*o - 48. Let t(v) = -1. Suppose 0 = -3*m - 6, 0 = 2*z - 3*z + 3*m + 2. Let g(n) = z*j(n) - 4*t(n). Factor g(f).
4*(f + 7)**2
Let d(r) be the third derivative of r**9/5040 - r**8/2240 - r**7/840 + r**6/240 + r**4/2 - 9*r**2. Let z(a) be the second derivative of d(a). Factor z(s).
3*s*(s - 1)**2*(s + 1)
Let a be (-12)/30 - (-244)/10. Let m be 2/((28/a)/7). Let o(p) = p**2 + p + 4. Let q(c) = -1. Let i(r) = m*q(r) + 3*o(r). Suppose i(g) = 0. Calculate g.
-1, 0
Suppose 34 = r + d, 0 = -r + 4*d + 24. Suppose r*n = 30*n + 2. Suppose -1/2*l - n + 1/2*l**2 = 0. What is l?
-1, 2
Let a(l) be the third derivative of -1/105*l**5 + 6*l**2 + 0*l + 1/60*l**6 + 0*l**3 + 0*l**4 + 0. Let a(f) = 0. What is f?
0, 2/7
Let z(k) be the second derivative of k**9/83160 - k**8/9240 + k**7/4620 + 3*k**4/4 - 14*k. Let b(c) be the third derivative of z(c). Let b(p) = 0. What is p?
0, 1, 3
Let y(l) be the second derivative of -l**5/50 + l**4/30 - l**3/45 - 6*l**2 - 8*l. Let k(h) be the first derivative of y(h). Factor k(a).
-2*(3*a - 1)**2/15
Let g be 140/63 - 2*(-2)/(-18). Let a be 828/1771 + g/(-11). Factor 6/7*c - a*c**2 + 0.
-2*c*(c - 3)/7
Let k(t) be the third derivative of -t**8/224 - t**7/14 - 29*t**6/80 - 4*t**5/5 - 3*t**4/4 - 3*t**2 - 15. Find s, given that k(s) = 0.
-6, -2, -1, 0
Let y be 6/(-18)*18/(-16). Let b(n) be the first derivative of 0*n + 5/36*n**6 + 2 + y*n**4 - 13/30*n**5 + 1/18*n**3 - 1/6*n**2. Factor b(k).
k*(k - 1)**3*(5*k + 2)/6
Suppose -377 = -5*l + r, r = -2*l + 151 + 4. Solve 39*a**2 - 273*a**4 + 36 + 2*a**5 + l*a**3 + 97*a**2 + 293*a**4 + 114*a = 0 for a.
-3, -2, -1
Suppose -3*n + 13 = 4*t, 5*n = 4*t + t - 25. Suppose 0 = -0*d - t*d + 8. Let 0 - 1/2*c**d + 0*c = 0. What is c?
0
Suppose -4*y = -3*i + 4*i - 60, 2*i - 40 = -3*y. Suppose 5*v - y = v, l + 2*v - 11 = 0. Factor 1/2 + 0*q**2 - 1/4*q**l + 3/4*q.
-(q - 2)*(q + 1)**2/4
Let j(s) = -40*s - 1080. Let g be j(-27). Factor -3/7*c**4 + 6/7*c**2 - 3/7 + 0*c**3 + g*c.
-3*(c - 1)**2*(c + 1)**2/7
Let c be 51/(-68)*40/(-55). Find f such that -4/11 - 2/11*f**2 + c*f = 0.
1, 2
Let y be (-9 - -3)/(-10 + 12 + -6) - 1. Factor 8 - 4*m + y*m**2.
(m - 4)**2/2
Let m be 10*3/4*70/175. Factor -6/11*a**2 + 0*a - 2/11*a**m + 0.
-2*a**2*(a + 3)/11
Let n = 757/70 - 326/35. Solve -n*d**4 + 15*d**3 + 3*d**2 - 15/2*d**5 - 15/2*d - 3/2 = 0 for d.
-1, -1/5, 1
Let o = -83647/70 - -1195. Let b(s) be the second derivative of -o*s**5 + 0*s**2 + 1/147*s**7 - 1/105*s**6 + 0 + 5/42*s**4 + 2*s - 2/21*s**3. Factor b(f).
2*f*(f - 1)**3*(f + 2)/7
Let u(s) = 32*s**5 - 208*s**4 + 552*s**3 - 708*s**2 + 384*s - 56. Let r(t) = t**5 - t**4 - 2*t**3 - t**2 + 2. Let d(g) = 4*r(g) - u(g). Let d(i) = 0. What is i?
2/7, 1, 2
Let q be 24/2*3/9. Let y(b) = 5*b**3 + 6*b**2 + 3*b - 2. Let r(g) = -g**3 - g**2 - g. Let j(f) = q*r(f) + y(f). Find z such that j(z) = 0.
-2, -1, 1
Let x(l) be the first derivative of -l**4/34 + 9*l**2/17 - 26. Factor x(r).
-2*r*(r - 3)*(r + 3)/17
Factor -2/3*o**2 + 0 - 28/3*o.
-2*o*(o + 14)/3
Let a be 4/10 + (-21)/(-35). Suppose -24 = x - 4*x. Suppose -a + 20*b + 4 + 4*b**2 - 12*b**3 + x*b**3 + 9 = 0. Calculate b.
-1, 3
Let r = 30 + -17. Factor 5*h - r*h**2 + 8*h**2 - 2 + 12.
-5*(h - 2)*(h + 1)
Let -49*i**4 + 40 + 10*i - 122*i**3 + 4*i**4 - 30*i**3 - 145*i**2 - 8*i**3 = 0. What is i?
-2, -1, 4/9
Let j(t) be the second derivative of -t**6/216 - t**5/360 + t**4/18 + 5*t**3 + 3*t. Let c(z) be the second derivative of j(z). Suppose c(s) = 0. Calculate s.
-1, 4/5
Let h(i) be the first derivative of -2*i**3/21 + 22*i**2/7 - 242*i/7 + 13. Factor h(l).
-2*(l - 11)**2/7
Let l(r) = -2*r - 13. Let c be l(-10). Let -3 + c + 18*w**2 + 80*w**3 + 32*w**4 + 0 - 26*w = 0. What is w?
-2, -1, 1/4
Factor 9/5*o**3 + 72/5 + 186/5*o + 123/5*o**2.
3*(o + 1)*(o + 12)*(3*o + 2)/5
Let t = -702002/1265 + 6108/11. Let o = t - 3/23. Factor 0 + 2/5*p - o*p**2.
-p*(p - 2)/5
Let y be 24/(-126)*657/(-146). Factor -8/7*d**3 + 4/7 + 0*d**4 - 4/7*d**2 + y*d + 2/7*d**5.
2*(d - 2)*(d - 1)*(d + 1)**3/7
Let n(c) be the first derivative of c**6/20 + c**5/6 - c**4/3 - 4*c**3/3 + 6*c**2 - 10. Let j(h) be the second derivative of n(h). Factor j(s).
2*(s - 1)*(s + 2)*(3*s + 2)
Let x = 3/829 + 4905/19067. Let c = x - -16/115. Factor c*k**4 + 8/5*k + 6/5*k