rd derivative of 0*s**4 - s**2 + 0*s**3 + 0 + 0*s - 1/60*s**6 + 1/15*s**5. Factor c(d).
-2*d**2*(d - 2)
Let y = 24/37 + -11/74. Solve y*x + 0 + 1/4*x**2 = 0 for x.
-2, 0
Suppose -m + 1 + 3 = 0. Find d such that 11*d**m - 16*d + 250*d**5 - 10*d**2 - 180*d**3 + 76*d**2 + 38*d**2 - 61*d**4 = 0.
-1, 0, 2/5
Let t(n) be the first derivative of -n**3 - 9*n**2/2 + 12*n - 12. Factor t(c).
-3*(c - 1)*(c + 4)
Let f(d) = -d + 25. Let u be f(22). Let a(c) be the third derivative of 1/8*c**4 - 3/20*c**5 + 3/40*c**6 - c**2 + 0*c - 1/70*c**7 + 0 + 0*c**u. Factor a(x).
-3*x*(x - 1)**3
Let h be 4/(-8)*-1*(-48)/(-52). Determine l so that 0*l - 2/13*l**2 - h*l**3 + 2/13*l**4 + 0 + 6/13*l**5 = 0.
-1, -1/3, 0, 1
Suppose 2*m + 13 = -15. Let a be 304/84 + 4/m. Factor -a*j**4 - 4/3*j - 2/3*j**2 + 0 + 16/3*j**3.
-2*j*(j - 1)**2*(5*j + 2)/3
Let u = 5 + -1. Let t = 62 + -62. Factor -v**3 + t + 4/3*v - 8/3*v**2 + 3*v**u.
v*(v + 1)*(3*v - 2)**2/3
Factor 2*h**2 - 3*h**2 + 2*h**2 + 2*h**3 - 3*h**4 + 4*h**4.
h**2*(h + 1)**2
Let c(w) be the third derivative of -w**5/20 - 3*w**4/8 - 2*w**2. Factor c(v).
-3*v*(v + 3)
Let g(z) be the first derivative of -z**3/8 + 3*z/8 - 12. Solve g(q) = 0.
-1, 1
Let b(l) be the third derivative of -l**8/1008 - l**7/630 + l**6/120 + l**5/180 - l**4/36 + 27*l**2. Determine s so that b(s) = 0.
-2, -1, 0, 1
Let o(z) be the second derivative of -1/12*z**3 + 0 - 2*z + 1/120*z**6 - 1/16*z**4 + 0*z**2 + 0*z**5. Suppose o(n) = 0. Calculate n.
-1, 0, 2
Let y(r) be the first derivative of -r**3/21 + r**2/7 + 8*r/7 + 55. Find n such that y(n) = 0.
-2, 4
Let n be (-12)/66*2/(24/(-44)). What is l in 0 + 2/3*l - n*l**2 = 0?
0, 1
Let c(s) be the third derivative of 0 + 1/140*s**6 + 1/735*s**7 + 0*s + 1/84*s**4 - 2*s**2 + 0*s**3 + 1/70*s**5. Suppose c(o) = 0. Calculate o.
-1, 0
Let c(n) be the first derivative of -2*n**5/5 - n**4 - 2*n**3/3 + 28. Factor c(i).
-2*i**2*(i + 1)**2
Let f = -160 - -329/2. Let m(x) be the second derivative of 4*x + 3*x**2 + 1/14*x**7 + f*x**3 + 0 + 21/10*x**5 + 4*x**4 + 3/5*x**6. Factor m(j).
3*(j + 1)**4*(j + 2)
Let a be 8/3 - 1/(-3). Suppose 0 = -2*n - 0 + 4. Factor -c**n - c**2 + 2*c**a - 2*c + 0*c**2 + 2*c**4.
2*c*(c - 1)*(c + 1)**2
Let w(z) be the second derivative of 0*z**6 + 0*z**2 + 0*z**3 + 2*z + 0*z**5 + 0 + 1/42*z**7 + 0*z**4. Solve w(d) = 0 for d.
0
Let t = -1 - 9. Let w be t/35 + (-44)/(-7). Factor -w*v + 2*v**2 + 3*v**2 - 3*v**2 + 4.
2*(v - 2)*(v - 1)
Let q(l) = -8*l**2 - 9*l + 5. Let f(t) = 9*t**2 + 9*t - 6. Let g(a) = 5*f(a) + 6*q(a). Factor g(j).
-3*j*(j + 3)
Suppose 0 = -5*v, 3*v = -0*k - 3*k + 48. Let x be (k/24)/(2/9). Factor -4 + 6*w**3 + 4 + x*w**4 + 3*w**2.
3*w**2*(w + 1)**2
Let s(r) be the first derivative of 3*r**5/35 - 3*r**3/7 - 3*r**2/7 + 15. Factor s(z).
3*z*(z - 2)*(z + 1)**2/7
Let r(q) be the third derivative of -2*q**2 + 0 + 1/210*q**5 + 0*q**3 + 0*q**4 + 1/210*q**6 + 0*q. What is l in r(l) = 0?
-1/2, 0
Let u = 70 - 66. Let v(f) be the second derivative of 0 + 1/21*f**3 + 3*f - 1/70*f**5 + 1/7*f**2 - 1/42*f**u. Factor v(r).
-2*(r - 1)*(r + 1)**2/7
Let b = -199/35 + 51/7. Factor b*w**2 + 2/5*w**3 + 4/5 + 2*w.
2*(w + 1)**2*(w + 2)/5
Suppose 6 = -5*u - 4*y + 22, 4*u + 3*y - 12 = 0. Find g, given that 12/5*g**2 + 0*g + 36/5*g**3 - 21/5*g**4 + u = 0.
-2/7, 0, 2
Let d(h) be the first derivative of 2*h**6/9 - h**5/5 - 3*h**4/4 - 2*h**3/9 + 3. Suppose d(r) = 0. What is r?
-1, -1/4, 0, 2
Let s be (3/6)/((-1)/42). Let t(l) = 36*l**4 - 21*l**3 - 21*l - 21. Let i(k) = 7*k**4 - 4*k**3 - 4*k - 4. Let p(y) = s*i(y) + 4*t(y). Factor p(j).
-3*j**4
Let k(w) = 12*w**3 - 45*w**2 + 33*w. Let t be 21/27*3*9. Let o(h) = -3*h**3 + 11*h**2 - 8*h. Let x(z) = t*o(z) + 5*k(z). Determine q so that x(q) = 0.
0, 1
Factor -1/3*r + 1/6 - 1/2*r**2.
-(r + 1)*(3*r - 1)/6
Let q(z) be the second derivative of z**2 - 2/3*z**3 + 0 + 1/6*z**4 + 6*z. Solve q(t) = 0 for t.
1
Suppose 0 = -4*n + 2 + 14. Factor 9*t**4 + n*t**2 - 4*t**2 + 8*t**3 - 7*t**4.
2*t**3*(t + 4)
Let p(l) be the second derivative of 0*l**2 - 3*l + 1/15*l**3 + 1/30*l**4 + 0. Let p(t) = 0. Calculate t.
-1, 0
Let q(t) = -t**2 + 6*t + 1. Let h be q(5). Suppose 5*n - 6*m + 12 = -2*m, h = n + 2*m. Factor -2/3*a + n - 2/3*a**2.
-2*a*(a + 1)/3
Let m(a) be the first derivative of 7*a**4/12 - 2*a**3/9 - 7*a**2/6 + 2*a/3 + 12. Factor m(h).
(h - 1)*(h + 1)*(7*h - 2)/3
Suppose 0*n = 2*n + k + 1, -4*n + 5*k = -5. What is x in n*x**2 - x**2 + 0*x**2 + 0*x**2 + 1 = 0?
-1, 1
Let x(q) = 2*q + 3 + 2*q**3 - q - 4 - q**3. Let y(c) = -7*c**3 + 5*c - 2. Let j(v) = -4*x(v) - y(v). What is w in j(w) = 0?
-2, 1
Suppose y - 1 = 0, 2*y - 14 = -3*b - 0*y. Suppose b*s + q - 11 = 0, -5*s + 18 = -2*q - q. Factor -2*k**s + 2 + k**2 + 0*k**3 + 2*k - 4 + k**2.
-2*(k - 1)**2*(k + 1)
Let a be (((-9)/12)/(-1))/(33/8). Factor 2/11*j**3 - a*j + 0 + 2/11*j**4 - 2/11*j**2.
2*j*(j - 1)*(j + 1)**2/11
Let j(b) be the second derivative of -b**4/6 - 2*b**3 - 9*b**2 - 12*b. Factor j(z).
-2*(z + 3)**2
Let r(f) = -f**3 - 2*f**2 + 4*f - 4. Let x(d) = -3*d**3 - 5*d**2 + 11*d - 11. Let s(p) = 11*r(p) - 4*x(p). Let g be s(0). Factor 4/3*l + 2/3*l**2 + g.
2*l*(l + 2)/3
Let g be (-14)/140 - (-3)/(-6)*-1. Solve 1/5*z - 3/5*z**4 + 3/5*z**2 - g*z**5 + 0 + 1/5*z**3 = 0.
-1, -1/2, 0, 1
Let a be (-10)/6*(-2)/70. Let y(t) be the first derivative of -2/21*t**3 - 1 + 0*t + a*t**6 + 2/35*t**5 - 1/14*t**4 + 0*t**2. Factor y(x).
2*x**2*(x - 1)*(x + 1)**2/7
Let s(p) be the first derivative of 3*p**4/4 + p**3 - 3*p**2/2 - 3*p + 10. Factor s(j).
3*(j - 1)*(j + 1)**2
Let a(l) = l**3 + 2*l**2 + l - 3. Let o(m) = 4*m**3 + 6*m**2 + 2*m - 10. Let f(j) = -20*a(j) + 6*o(j). Let f(g) = 0. Calculate g.
-1, 0, 2
Let t be (-5 - 535/(-105))*7/36. Let b(p) be the second derivative of t*p**4 + 0 + 0*p**2 - 1/27*p**3 + p. Factor b(f).
2*f*(f - 1)/9
Let q(n) = -17*n**2 + 71*n + 46. Let p(b) = 9*b**2 - 36*b - 24. Let v(s) = -5*p(s) - 3*q(s). Factor v(a).
3*(a - 6)*(2*a + 1)
Let a(c) be the third derivative of -1/36*c**4 + 0*c + 0 - 1/30*c**5 - c**2 + 0*c**3. Factor a(o).
-2*o*(3*o + 1)/3
Let p = 3 + 1. Suppose -9*s**2 + 2*s**4 - 5*s + s**4 - s + 0*s**p = 0. What is s?
-1, 0, 2
Let x = -7 + 10. Factor 3*y**2 + 2*y**4 - 3*y**2 + 2*y**5 - 2*y**x - 2*y**2.
2*y**2*(y - 1)*(y + 1)**2
Let p(o) be the third derivative of o**7/105 + o**6/30 - o**5/10 - o**4/3 + 4*o**3/3 - 13*o**2. Find s such that p(s) = 0.
-2, 1
Let q(p) be the second derivative of p**7/1680 - p**6/180 + p**5/80 - p**3/2 + 8*p. Let d(v) be the second derivative of q(v). Factor d(k).
k*(k - 3)*(k - 1)/2
Let i(q) be the second derivative of q**7/8820 - q**5/420 + q**4/6 - 3*q. Let u(l) be the third derivative of i(l). Factor u(j).
2*(j - 1)*(j + 1)/7
Let l(w) be the third derivative of w**5/90 - w**4/36 - 2*w**3/9 - w**2. Factor l(f).
2*(f - 2)*(f + 1)/3
Factor 32/7*r + 8/7 + 10/7*r**2 - 2*r**3.
-2*(r - 2)*(r + 1)*(7*r + 2)/7
Let g(k) = -k**3 - 13*k**2 - 4*k + 16. Let s(j) = j**3 + j**2 + j - 1. Let h(v) = g(v) + 4*s(v). Solve h(w) = 0.
-1, 2
Suppose -2*z + 7 = -4*x - 15, 3*z = 5*x + 28. Suppose 2*c + c - 6 = 0. Let 3/2*w - 1/2*w**c - z = 0. What is w?
1, 2
Let k be ((-4)/(-10))/((-5)/(-25) + 3). Let v(c) be the first derivative of -3*c**2 + 2 - c**3 - k*c**4 - 4*c. Let v(p) = 0. Calculate p.
-2
Suppose 0 = -2*b + 369 + 21. Let z be (-13)/b + (-4)/(-6). Let -3/5*j + z*j**4 + 2/5*j**3 + 1/5*j**5 - 2/5*j**2 - 1/5 = 0. Calculate j.
-1, 1
Determine l, given that 11*l + 3*l**4 - 2 - 6*l**3 - 1 - 5*l = 0.
-1, 1
Let l(y) be the first derivative of 5*y**5 - 45*y**4/4 - 26*y**3/3 + 18*y**2 - 8*y + 3. Determine b so that l(b) = 0.
-1, 2/5, 2
Let t(c) be the third derivative of 3*c**5/10 - c**4/4 + c**3/12 - 6*c**2. Determine d, given that t(d) = 0.
1/6
Let f(q) = -q - 3. Let u(l) = l. Let k be u(-6). Let d be f(k). Solve 2*z**4 - 2*z**2 + z**2 + z**d - z - z**4 = 0 for z.
-1, 0, 1
Suppose 10 + 15*m + 3*m**2 - 8*m**2 - 20*m = 0. Calculate m.
-2, 1
Solve c**2 - 12*c - 6*c**2 + c**2 = 0.
-3, 0
Let s(j) be the third derivative of 1/4*j**3 + 10*j**2 + 0 + 1/360*j**5 + 0*j + 1/24*j**4. Factor s(l).
(l + 3)**2/6
Let j(u) be the second derivative of 3*u - 1/60*u**5 - 1/36*u**4 + 0*u**2 + 1/18*u**3 + 1/90*u**6 + 0. Let j(g) = 0. Calculate g.
-1, 0, 1
Let a = 2 - 1. Factor 4 - 3 + f + f**2 - a.
f*(f + 1)
Let v(r) = -4*r