 + 85. Let l(i) = 0. What is i?
-1, -1/2, 1
Suppose 12*g**2 - 4*g**5 + 228/5*g**4 + 412/5*g**3 - 104/5*g + 0 = 0. Calculate g.
-1, 0, 2/5, 13
Let m(s) = -9*s**3 + 16*s**2 + 13*s. Let w(n) = 110*n**3 - 195*n**2 - 155*n. Let f(d) = 25*m(d) + 2*w(d). Find t such that f(t) = 0.
-1, 0, 3
Determine f, given that -190*f**2 - 100*f + 6*f**2 + 43 - 28*f**3 - 13*f + 29 + 29*f = 0.
-6, -1, 3/7
Let f = 14 + 1. Let d be (1 - -4) + (-60)/f. Factor 6*j**3 + 4 - 6*j + d + 3*j**4 - 8.
3*(j - 1)*(j + 1)**3
Let k(p) be the third derivative of p**5/12 - 5*p**4 + 115*p**3/6 + 2*p**2 - 211*p. Let k(n) = 0. What is n?
1, 23
Let l(w) be the first derivative of -w**4/26 - 2*w**3/39 + 2*w**2/13 - 638. Solve l(s) = 0 for s.
-2, 0, 1
Let z(x) be the third derivative of x**5/60 + x**4/8 - x**3/3 + 2*x**2. Let f be z(-4). Suppose 4 + 6*q - 2*q - q - 2*q**f - q = 0. Calculate q.
-1, 2
Let z(h) be the first derivative of 0*h - 4/25*h**5 + 4/15*h**3 - 2/15*h**6 + 0*h**2 + 1/5*h**4 - 17. Factor z(d).
-4*d**2*(d - 1)*(d + 1)**2/5
Let g = 49 + -33. Factor g*t**5 - 7*t**5 + 3*t**4 - 6*t**5.
3*t**4*(t + 1)
Let s be ((-70)/(-21))/((-15)/(-9)). Let n(o) be the first derivative of 0*o - 1 + 1/15*o**3 - 3/10*o**s. Factor n(f).
f*(f - 3)/5
Suppose 0 = 2*w - 10. Factor 3*r - 6*r**4 + 0*r + 144*r**5 + 6*r**2 - 147*r**w.
-3*r*(r - 1)*(r + 1)**3
Let b = 38 + -36. Suppose 4*m + 4 = s, 2*s = 5*m - b*s + 16. Factor 0*v**2 + 0*v + m + 1/5*v**4 + 0*v**3.
v**4/5
Find q such that 12*q - 34 + 127 + 2*q**2 - q**2 - 41 - 41 = 0.
-11, -1
Let m(x) be the first derivative of 21*x**4/4 + 59*x**3/2 + 81*x**2/2 + 27*x/2 + 446. Let m(y) = 0. Calculate y.
-3, -1, -3/14
Let t(b) be the second derivative of -b**6/180 + b**5/15 - 11*b**4/36 + 2*b**3/3 - 3*b**2/4 + 29*b + 1. Factor t(j).
-(j - 3)**2*(j - 1)**2/6
Suppose -q - 13*q = -2*q. Factor 0 - 1/6*n**3 + q*n**2 + 0*n - 1/6*n**5 + 1/3*n**4.
-n**3*(n - 1)**2/6
Suppose -3*z - 2*r = r - 3, -z - 1 = 3*r. Suppose -z*p - 2 + 0 = -3*d, 2*d - 5*p - 5 = 0. What is t in -1/2*t**2 + 1/4 + d*t**3 + 1/4*t**4 + 0*t = 0?
-1, 1
Let u(a) be the third derivative of -16*a**2 + 0*a - 1/390*a**5 + 0 - 7/78*a**4 - 49/39*a**3. Let u(x) = 0. What is x?
-7
Suppose -3*f - 4*l = 67, -2*l - 15 = f + 8. Let d be 2/((-7)/(f/2)). Factor -20*s**5 - 2*s**2 + 35*s**4 - 11*s**3 - 3*s**2 + s**d.
-5*s**2*(s - 1)**2*(4*s + 1)
Let h = 71 - -40. Let 146*g - 9 - 10*g**2 - h*g - 6 = 0. Calculate g.
1/2, 3
Factor 449*g**4 + 2 - 8*g + 2*g**5 + 8*g**2 + 439*g**4 + 6*g**3 - 2 - 896*g**4.
2*g*(g - 2)**2*(g - 1)*(g + 1)
Let s(b) be the first derivative of 0*b + 7*b**4 + 11 + 10*b**2 - 4/5*b**5 - 44/3*b**3. Factor s(g).
-4*g*(g - 5)*(g - 1)**2
Let -16*s**5 + s**4 - 144*s**2 - 2*s**4 - 16*s + 152*s**2 + 32*s**3 - 4 - 3*s**4 = 0. What is s?
-1, -1/4, 1
Let g = -11318784/641 - -17658. Let x = 7758/7051 + g. Factor -x*h**3 + 0*h - 18/11*h**4 - 2/11*h**2 + 0.
-2*h**2*(3*h + 1)**2/11
Let w(q) = -q**2 - 7*q + 9. Let r be w(-8). Let s be (-4 - -2)*(r - (-33)/(-30)). Factor -s + 0*b + 1/5*b**2.
(b - 1)*(b + 1)/5
Let x(l) be the third derivative of -7*l**6/480 + l**5/48 + l**4/6 + l**3/6 - 52*l**2 + 4*l. Factor x(o).
-(o - 2)*(o + 1)*(7*o + 2)/4
Let u(i) = i**3 + 5*i**2 + 4*i + 4. Let n be ((-16)/(-6))/((-24)/(-36)). Let d(z) = 3*z**3 + 14*z**2 + 11*z + 11. Let k(g) = n*d(g) - 11*u(g). Factor k(y).
y**2*(y + 1)
Let w(q) = q**5 + q**4 - q**3 + q**2 + q. Let n(c) = 20*c**5 - 145*c**4 + 145*c**3 + 75*c**2 - 5*c. Let k(p) = -n(p) - 5*w(p). Solve k(f) = 0 for f.
-2/5, 0, 2, 4
Let a(f) be the first derivative of -9*f**6/10 - 6*f**5/25 + 27*f**4/20 + 2*f**3/5 - 206. Solve a(g) = 0.
-1, -2/9, 0, 1
Let r(w) be the third derivative of -w**8/40320 + w**7/3360 + w**6/360 - w**5/5 - 14*w**2. Let o(h) be the third derivative of r(h). Factor o(g).
-(g - 4)*(g + 1)/2
Let v(q) be the second derivative of 4/3*q**3 - 1/5*q**5 + 35*q + 0 - 1/3*q**4 + 0*q**2. Solve v(d) = 0.
-2, 0, 1
Suppose 621 + 12*r**3 - 11*r**3 + 25*r**2 + 65 + 17*r**2 - 3*r**3 - 294*r = 0. Calculate r.
7
Let m(k) be the third derivative of -2*k**7/105 + 5*k**6/6 - 187*k**5/15 + 121*k**4/2 + 187*k**2. Let m(x) = 0. What is x?
0, 3, 11
Let w(z) = -z**3 - z**2 + z - 1. Let f(r) = -6*r**3 - 7*r**2 + 4*r - 5. Let c be (-108)/45 + 6/(-10) - 2. Let d(p) = c*w(p) + f(p). Solve d(k) = 0 for k.
-1, 0
Let m(n) = n**3 - 9*n**2 + 15*n - 3. Let o be m(7). Factor 17*p**2 - p**o + 2*p**3 - 2*p**2 - 2*p - 7*p**2 - 7*p**2.
-p*(p - 2)*(p - 1)*(p + 1)
Suppose 4*o + 55 = 15*o. Determine q, given that 4*q**5 + 0*q**o + 20*q**4 + 10*q**2 + 25*q**3 + 2*q**5 - q**5 = 0.
-2, -1, 0
Let o(t) = t**3 + t - 1. Let v(c) = -2*c + 31. Let x be v(15). Let y(k) = -12*k**3 - 4*k**2 - 36*k + 4. Let w(h) = x*y(h) + 16*o(h). What is j in w(j) = 0?
-1, 3
Let d(y) be the second derivative of y**7/126 + 2*y**6/15 + 41*y**5/60 + y**4/18 - 10*y**3 - 100*y**2/3 + 99*y. Find w such that d(w) = 0.
-5, -2, 2
Let c = 756 + -9823/13. Let b(y) be the first derivative of 4/65*y**5 - 8/39*y**3 + 4/13*y - 5/13*y**2 + c*y**4 + 4 - 5/39*y**6. Let b(l) = 0. What is l?
-1, 2/5, 1
Suppose 3*a = -3*m - 15, 95*m = 96*m + 4*a + 20. Let i(k) be the first derivative of m*k - 4/15*k**3 - 2/5*k**2 - 1/20*k**4 + 4. Factor i(n).
-n*(n + 2)**2/5
Suppose -985*g = -987*g + 4*d + 8, 5*g - 5*d = 15. Let 2*c**3 - 18/5*c**g + 14/5*c - 2/5*c**4 - 4/5 = 0. Calculate c.
1, 2
Let q(o) be the third derivative of -o**7/42 - o**6/12 + o**5/12 + 5*o**4/12 - 120*o**2 - 2*o. Suppose q(w) = 0. What is w?
-2, -1, 0, 1
Let v = -712 - -718. Let x(w) be the third derivative of 2/9*w**3 + 7/30*w**v + 0 + 0*w + 61/90*w**5 + 7/12*w**4 + 4*w**2. Solve x(p) = 0.
-1, -2/7, -1/6
Let x(u) = 7*u**2 - 2*u - 4. Let f(z) = -z**3 + 9*z**2 + 3. Let j be f(9). Let a(c) = 0*c**2 + c + 3 - 4*c**2 - 1. Let q(v) = j*x(v) + 5*a(v). Factor q(k).
(k - 2)*(k + 1)
Suppose 4*f - 5 = -3*g, 0*g + 3*f - 3 = -2*g. Suppose u = -3*r - 5, 16*u - 15*u - 10 = 2*r. Suppose 0 - 1/4*z**2 + 1/4*z**u - 1/4*z + 1/4*z**g = 0. Calculate z.
-1, 0, 1
Let m(r) be the third derivative of 0*r**4 - 1/90*r**5 + 1/240*r**6 + 0*r**3 + 0 + 1/1260*r**7 - 52*r**2 + 0*r. Let m(z) = 0. What is z?
-4, 0, 1
Let s(j) be the third derivative of -j**5/12 + 10*j**3/3 + 14*j**2. Let s(m) = 0. What is m?
-2, 2
Let u(z) = 5*z**2 + 24*z - 65. Let r(d) = 2*d**2 + 12*d - 33. Let a(y) = 14*r(y) - 6*u(y). Factor a(n).
-2*(n - 6)**2
Let j(m) be the first derivative of 2/45*m**5 + 0*m + 0*m**2 - 1/27*m**6 - 2/27*m**3 - 18 + 1/18*m**4. Let j(k) = 0. Calculate k.
-1, 0, 1
Let n(v) be the second derivative of -1/63*v**6 - 1/126*v**4 + 2/105*v**5 + 0*v**3 + 2/441*v**7 + 3*v + 0 + 0*v**2. Factor n(p).
2*p**2*(p - 1)**2*(2*p - 1)/21
Let x(i) be the first derivative of i**4/42 + i**3/7 + 2*i - 4. Let f(r) be the first derivative of x(r). Determine b, given that f(b) = 0.
-3, 0
Let v = -7 - 13. Let s = -17 - v. Factor 13*f**2 - 16*f**2 - 2 + 2 - s*f.
-3*f*(f + 1)
Let n = 41971/6 + -6995. Factor -n*i**3 + 1/3*i**2 + 1/6*i - 1/3.
-(i - 2)*(i - 1)*(i + 1)/6
Let y = 172 - 82. Suppose 89*t + 2 = y*t. Factor 4/5*s + 16/5*s**4 + 0 + 32/5*s**3 + 4*s**t.
4*s*(s + 1)*(2*s + 1)**2/5
Let 1/3*x**3 - 11/3*x + 2 + 4/3*x**2 = 0. What is x?
-6, 1
Suppose -2*d - 5 - 15 = -5*r, 3*r = -4*d - 14. Find l such that 18*l - 41*l**r + 16 + 3*l**3 + 18*l + l**3 + 65*l**2 = 0.
-4, -1
Let y be 1 + 15/(-13) + (-55968)/(-19877). Let k = y + 2/417. Factor 2/3*o**4 + 16/3*o**2 + k*o + 10/3*o**3 + 0.
2*o*(o + 1)*(o + 2)**2/3
Find g, given that 32*g**2 + 8*g**3 - 13*g**2 - 19*g**2 - 2*g**4 = 0.
0, 4
Let t = 144/275 + -13/550. Factor -t*b + 1/3 + 1/6*b**2.
(b - 2)*(b - 1)/6
Let b(v) = -v**3 + 2*v**2 - v. Let l(p) = 2*p**3 - 19*p**2 - 13*p + 192. Let m(i) = -12*b(i) - 4*l(i). Factor m(c).
4*(c - 3)*(c + 8)**2
Suppose -146 = -3*v - 2*z, -4*v - 2*z = -7*z - 187. Let c = 33 - 14. Factor -22 - v*n - 18*n**2 - 29 - n**3 + c - n**3.
-2*(n + 1)*(n + 4)**2
Let l(f) = -27*f**3 + 19*f**2 + 39*f - 11. Let n(z) = 25*z**3 - 20*z**2 - 40*z + 10. Let j(a) = -5*l(a) - 4*n(a). Factor j(u).
5*(u - 1)*(u + 1)*(7*u - 3)
Let n(y) be the first derivative of 1/5*y**5 + 3 - 1/18*y**6 + 0*y + 0*y**2 - 1/6*y**4 + 0*y**3. Find c such that n(c) = 0.
0, 1, 2
Suppose 3*y + 54 = -2*k, -5*y - 5 - 45 = 2*k. Let l = k - -30. Factor -8/7*o + 0*o**2 + 2/7*o**3 + l.
2*o*(o - 2)*(o + 2)/7
Suppose 2*j