/60 + 104*x**3/15 + 32*x**2/5 + 2*x. Let k(o) = 0. What is o?
-8, -1/3
Let k(s) be the first derivative of -s**5/30 + s**4/18 + s**3/9 - s**2/3 + 7*s + 2. Let l(j) be the first derivative of k(j). Factor l(q).
-2*(q - 1)**2*(q + 1)/3
Let c = -17 - -22. Find n, given that 18*n + 13*n**3 - 25*n**2 - 5*n**2 - 2*n**4 - c*n**3 + 6*n**3 = 0.
0, 1, 3
Let w(d) be the second derivative of d**8/11200 - d**7/2100 + d**6/1200 - 13*d**4/6 + 12*d. Let i(q) be the third derivative of w(q). Factor i(m).
3*m*(m - 1)**2/5
Suppose 107 = 22*r + 41. Let q(a) be the first derivative of 2 - 18/5*a**5 - 9/8*a**4 - 7/4*a**6 + a**r + 0*a + 0*a**2. Solve q(o) = 0 for o.
-1, 0, 2/7
Factor -6/5*i + 1 + 1/5*i**2.
(i - 5)*(i - 1)/5
Let t = 69 + -23. Find a, given that 10 + a**2 + 3*a**4 - a**5 - 10 - 49*a**3 + t*a**3 = 0.
0, 1
Factor 0*o**2 - 3*o + 1/3*o**3 + 0.
o*(o - 3)*(o + 3)/3
Let 2/5*y**2 + 112/5*y + 1568/5 = 0. Calculate y.
-28
Let n(u) be the third derivative of u**7/70 + 39*u**6/40 + 111*u**5/20 + 109*u**4/8 + 18*u**3 + 114*u**2. Factor n(q).
3*(q + 1)**3*(q + 36)
Let r(s) be the third derivative of 1/330*s**5 + 0*s + 0 + 0*s**3 - 22*s**2 - 1/66*s**4. Factor r(a).
2*a*(a - 2)/11
Let y(a) be the third derivative of 1/12*a**5 + 135/2*a**3 + 0 + 0*a - 15/4*a**4 - 12*a**2. Factor y(d).
5*(d - 9)**2
Let s = -34 + 38. Factor s*w**2 + 363 - 8*w - 363.
4*w*(w - 2)
Let o(i) be the third derivative of i**10/75600 - i**8/5040 + i**6/360 + 9*i**5/20 + 3*i**2. Let u(l) be the third derivative of o(l). Factor u(j).
2*(j - 1)**2*(j + 1)**2
Let v(s) = -8*s + 50. Let q be v(13). Let t be 4/5*q/(-9). Let 12/5 - 57/5*w**2 + 36/5*w - t*w**3 - 12/5*w**5 + 9*w**4 = 0. Calculate w.
-1, -1/4, 1, 2
Let s(g) be the second derivative of g**4/12 + g**3 + 71*g. Factor s(w).
w*(w + 6)
Let d = 103/66 - 5/22. Determine i, given that 2/3 + 2/3*i**5 - d*i**3 + 2/3*i + 2/3*i**4 - 4/3*i**2 = 0.
-1, 1
Let r(u) = -u**2 + 58*u + 239. Let a(t) = 9*t**2 - 465*t - 1911. Let k(d) = -4*a(d) - 33*r(d). Factor k(n).
-3*(n + 9)**2
Suppose -19*s + 12 = -15*s. Find r such that 9*r**2 - 57*r + 6*r**3 + 0*r**4 - 12 + 45*r - s*r**4 = 0.
-1, 2
Let s(q) = 2*q**2 + 17*q + 12. Let f be s(-8). Let y be ((-1)/(-5))/(f/10). Factor -u**2 + 1 + y*u - 1/2*u**3.
-(u - 1)*(u + 1)*(u + 2)/2
Let c be (((-341)/(-330))/(-31))/((-1)/3). Let v(z) be the second derivative of -1/3*z**3 + 0*z**4 + 0 + 0*z**2 + c*z**5 - 3*z. Solve v(a) = 0 for a.
-1, 0, 1
Let w be (7 + -3)*1 + 2. Suppose w*k = 3*k + 48. Find o, given that k*o**2 - o**4 + 5*o**3 - 8*o + o**3 - 17*o**4 = 0.
-1, 0, 2/3
Let w(b) = b**2 + 6*b + 8. Let o be w(-5). Suppose 5*c + 5*i - 2*i = 4, 0 = o*c + 3*i. Factor -4/3*u**4 + 2/9*u**5 - 4/9 + c*u - 32/9*u**2 + 28/9*u**3.
2*(u - 2)*(u - 1)**4/9
Factor -216*f**2 - 83*f**3 - 40*f**4 - 4*f**5 - 10069*f + 9961*f - 61*f**3.
-4*f*(f + 1)*(f + 3)**3
Let r(l) be the second derivative of -l**6/135 + 7*l**4/54 + 2*l**3/9 + 97*l. Factor r(a).
-2*a*(a - 3)*(a + 1)*(a + 2)/9
Let l(m) be the third derivative of -m**5/120 + 23*m**4/48 + 2*m**3 - 61*m**2 + 2. Factor l(i).
-(i - 24)*(i + 1)/2
Factor 3*z + 4*z**2 - 54 - 92*z - 3*z**2 + 21 - 57.
(z - 90)*(z + 1)
Let m be (2*(-1)/9)/((-29)/522). Factor 0*c**2 + 4/5*c**3 + 1/5*c**m + 0 + 0*c.
c**3*(c + 4)/5
Let m = 773 + -768. Factor -4/3*j**3 + 2*j - 2/3 - 2/3*j**m + 2*j**4 - 4/3*j**2.
-2*(j - 1)**4*(j + 1)/3
Suppose h + 21 = 4*h. Suppose -4 - 6 = -5*u. Factor h*m - 3*m**u - m - 12*m.
-3*m*(m + 2)
Let b(s) be the first derivative of 31 + 0*s**2 + 5/12*s**3 + 0*s + 1/16*s**4. Factor b(i).
i**2*(i + 5)/4
Let q = 33 - 28. Determine n so that -q*n - 25*n**2 + 25*n + 20*n**2 = 0.
0, 4
Let g(y) be the third derivative of -y**5/240 - y**4/32 - y**3/12 + 2*y**2 - 86. Factor g(x).
-(x + 1)*(x + 2)/4
Let n(b) = 11*b**4 - 130*b**3 + 20*b**2 + 7. Let x(d) = d**4 + d**3 - 2*d**2 + 1. Let k(w) = -3*n(w) + 21*x(w). Solve k(v) = 0.
0, 1/4, 34
What is h in -32*h + 195*h**2 + 184*h**2 - 375*h**2 = 0?
0, 8
Let v be 8/(1054/51 - 16). Factor v + 20/7*j + 1/7*j**3 + 9/7*j**2.
(j + 1)*(j + 2)*(j + 6)/7
Let j(u) be the first derivative of -u**4 + 0*u + 2*u**2 - 2/5*u**5 - 6 + 2/3*u**3. Suppose j(x) = 0. What is x?
-2, -1, 0, 1
Let u(j) be the second derivative of -j**4/42 + 10*j**3/21 - 25*j**2/7 + 347*j. Suppose u(m) = 0. Calculate m.
5
Find m such that 16*m**2 - 20*m - 13*m + 9*m + 482*m**3 - 484*m**3 = 0.
0, 2, 6
Let l(z) be the second derivative of z**6/105 - 8*z**5/35 + 13*z**4/7 - 16*z**3/3 + 7*z**2 + z + 57. Determine w so that l(w) = 0.
1, 7
Let i(j) be the second derivative of 33*j**5/20 + 21*j**4/4 - j**3 + 3*j + 1. Let i(t) = 0. What is t?
-2, 0, 1/11
Let j be 10/15 - 867/(-495). Let m = j + -9/11. Determine z so that 2*z + 2/5*z**3 + 4/5 + m*z**2 = 0.
-2, -1
Let g(q) be the third derivative of -q**7/1470 - q**6/35 - 11*q**5/28 - 121*q**4/84 - 101*q**2. Let g(l) = 0. Calculate l.
-11, -2, 0
Solve 1/10*y**3 + 49/5*y - 32/5 - 7/2*y**2 = 0 for y.
1, 2, 32
Suppose y - 15 = -5*p + 5, 3*y - 3 = 4*p. Let g = -249 + 256. Solve -5*a + 11*a**2 + 13*a**2 + 15*a**p - g*a = 0.
-2, 0, 2/5
Suppose -9*s + 24 = -3*s. Determine n, given that -41*n**4 + 8 - 10*n**2 + 91*n**s - 48*n**4 = 0.
-2, -1, 1, 2
Find m such that -2/7*m**2 + 2/7*m**3 - 24/7*m + 0 = 0.
-3, 0, 4
Let r be (-228)/133*(2 - 22/4). Suppose 12 = 4*o - y, 3*o + 0 = -3*y - r. What is g in 1/10*g**o - 1/5 - 1/10*g = 0?
-1, 2
Let v = -29 + 190. Let y = v + -799/5. Factor -2/5*j**2 - y*j - 4/5.
-2*(j + 1)*(j + 2)/5
Let g = -4773 + 33435/7. Suppose -g*q**3 + 12/7 - 40/7*q + 4/7*q**4 + 48/7*q**2 = 0. Calculate q.
1, 3
Let u(p) be the third derivative of -p**7/13860 + p**6/1320 - p**5/330 - 23*p**4/24 + 11*p**2. Let k(a) be the second derivative of u(a). Factor k(z).
-2*(z - 2)*(z - 1)/11
Let -2/7*r**2 - 4/7 - 6/7*r = 0. Calculate r.
-2, -1
Let r(t) be the third derivative of t**8/221760 + t**7/13860 - t**6/1584 + 19*t**5/30 - 49*t**2. Let k(v) be the third derivative of r(v). Solve k(o) = 0.
-5, 1
Let d(b) = -16*b - 9. Let s be d(-3). Suppose s - 11 = 7*n. Suppose 2/13*z**n + 0 + 2/13*z**2 + 0*z + 4/13*z**3 = 0. Calculate z.
-1, 0
Let m(q) be the first derivative of 5*q**4/3 - 10*q**3 + 45*q**2/2 + 7*q - 1. Let j(r) be the first derivative of m(r). What is b in j(b) = 0?
3/2
Let l(f) be the third derivative of 0 - 1/90*f**6 + 12*f**2 + 0*f - 8/3*f**4 + 4/15*f**5 - 11/6*f**3. Let m(j) be the first derivative of l(j). Factor m(v).
-4*(v - 4)**2
Let z(j) = 2*j**2 + 9*j + 9. Let l be z(-10). Let n = l + -353/3. Find r such that -2/3*r - 1/3 + 4/3*r**3 + r**2 - n*r**4 = 0.
-1/2, 1
Let n(d) be the first derivative of -55*d**3/3 + 115*d**2/2 - 77*d - 9. Let j(b) = -56*b**2 + 114*b - 78. Let x(k) = -5*j(k) + 6*n(k). Let x(z) = 0. What is z?
6/5
Let b(k) be the second derivative of k**4/66 + 5*k**3/11 - 16*k**2/11 + k + 24. Find u, given that b(u) = 0.
-16, 1
Factor 60/7*a**2 - 4/7*a**3 - 288/7*a + 432/7.
-4*(a - 6)**2*(a - 3)/7
Let x(v) = -11*v**3 - 30*v**2 - 18*v + 59. Let c = 129 + 78. Let i(k) = -105*k**2 - 5*k - 33*k - 25*k - 39*k**3 + c. Let z(h) = 5*i(h) - 18*x(h). Factor z(q).
3*(q - 1)*(q + 3)**2
Factor 0*y**3 - 10*y**3 + 3*y**4 + 4*y**5 - 9*y**2 - 3*y**2 - 2*y**3 - y**5.
3*y**2*(y - 2)*(y + 1)*(y + 2)
Let z(m) be the second derivative of -m**4/4 - 33*m**3/2 + 51*m**2 - 63*m + 3. Factor z(w).
-3*(w - 1)*(w + 34)
Let c(s) = -3*s**2 - s + 7. Let y be c(4). Let f = y + 137/3. Factor f*l**3 + 0*l - 4/9*l**2 + 0.
2*l**2*(3*l - 2)/9
Let v(c) be the second derivative of -c**5/4 - 65*c**4/6 + 204*c. Factor v(w).
-5*w**2*(w + 26)
Let r(v) be the first derivative of v**7/42 + v**6/15 + v**5/20 + 31*v + 38. Let a(d) be the first derivative of r(d). Factor a(n).
n**3*(n + 1)**2
Determine v, given that -15/2 - 61/4*v - 8*v**2 - 1/4*v**3 = 0.
-30, -1
Let p(v) = -v**3 + 7*v**2 - 11*v + 10. Let f be p(4). Let b(c) = -c**2 + 14*c. Let g be b(f). Suppose -1/3*m**3 + g*m - 1/3*m**2 + 0 = 0. What is m?
-1, 0
Let m = -2947 + 2949. Factor 1/3*r**m - 4/3 + r.
(r - 1)*(r + 4)/3
Suppose -14*r - 18 = -20*r. Let y(u) be the first derivative of 2/17*u**2 + 6/17*u + 12 - 2/51*u**r. Suppose y(n) = 0. What is n?
-1, 3
Let b be -5*(-8)/(-140)*28/(-2). Let v be 3/b*3/9. Solve v*z**2 + 1/2*z + 0 = 0.
-2, 0
Suppose 0 = 2*x - 4*u + 14, -3*u = -x - 4 - 3. Let w(z) = z + 7. Let m be w(x). Factor p**2 + 