e of 0*l + 0 + 2*l**2 + 1/300*l**5 - 1/30*l**3 + c*l**4. Suppose s(j) = 0. What is j?
-1, 1
Let g = -18 - -21. Let w = g + -3. Determine p so that 3*p**3 + 18/5*p**4 - 4/5*p**2 - 4/5*p + w = 0.
-2/3, 0, 1/2
Let x(z) be the first derivative of z**8/2520 + z**7/630 - z**6/540 - z**5/90 + 2*z**3/3 - 4. Let w(c) be the third derivative of x(c). Factor w(j).
2*j*(j - 1)*(j + 1)*(j + 2)/3
Let q(m) be the second derivative of m**4/4 + 6*m. Factor q(r).
3*r**2
Factor 4/3*a**2 + 2*a - 4/3 - 2*a**3.
-2*(a - 1)*(a + 1)*(3*a - 2)/3
Let x be -14 + 14 + (-72 - 0). Let w be x/(-70) + 26/65. Determine q so that -32/7*q**2 - 8/7*q + 50/7*q**4 + 0 - w*q**3 = 0.
-2/5, 0, 1
Factor 0*k + 1/5*k**2 + 0 + 1/5*k**3.
k**2*(k + 1)/5
Let k(l) be the third derivative of -l**5/360 - l**4/12 - 11*l**3/36 + 69*l**2. Let k(c) = 0. What is c?
-11, -1
Suppose -1/8*u**4 - 1/4 + 3/8*u**2 - 1/8*u + 1/8*u**3 = 0. What is u?
-1, 1, 2
Suppose -4*y + 5*g = -8*y + 11, 4*y - g + 7 = 0. Let b(d) = 35*d**2 + 1. Let s be b(y). Determine i, given that 18*i**3 + 24*i + 16/3 + s*i**2 = 0.
-2/3
Let q(j) = -j**3 + 2*j**2 + 2*j + 1. Let c be q(-1). Let n(x) be the first derivative of -2 - x + 1/2*x**4 + 2*x**c - 5/3*x**3. Factor n(i).
(i - 1)**2*(2*i - 1)
Solve 45*d**4 - 48*d**4 - 6 - 27*d**2 + 31*d + 15*d**3 - 10*d = 0 for d.
1, 2
Let v(u) be the first derivative of -u**7/140 + u**6/45 + u**5/15 - 2*u**3/3 + 2. Let n(h) be the third derivative of v(h). Factor n(j).
-2*j*(j - 2)*(3*j + 2)
Let s be 3 - (3 + 1 + -2). Suppose 5*q - s - 14 = 0. Factor 0*x**2 + 0*x + 0 - 2/7*x**4 + 2/7*x**q.
-2*x**3*(x - 1)/7
Let z(t) = -4*t**2 + 7*t + 2. Let f(b) be the second derivative of 2*b**4/3 - 7*b**3/3 - 2*b**2 + 3*b. Let s(j) = -6*f(j) - 11*z(j). Factor s(v).
-(v - 2)*(4*v + 1)
Factor 0*u - 21/4*u**4 - 3/2*u**2 + 27/4*u**3 + 0.
-3*u**2*(u - 1)*(7*u - 2)/4
Let u be (-344)/(-396) - (-32)/144. Factor u*t + 2/11*t**2 + 18/11.
2*(t + 3)**2/11
Let n(y) = y**2. Let l(g) = g**2 - g. Let j(q) = -4*l(q) + 3*n(q). Determine k, given that j(k) = 0.
0, 4
Let b(r) = 3*r**3 - 3*r**2 - 3*r + 1. Let c(j) = -7*j + 5*j**3 + 0 - 4*j**2 + 1 + 3*j - j**3. Let n(m) = 3*b(m) - 2*c(m). Find k such that n(k) = 0.
-1, 1
Let a(c) be the first derivative of -c**5/30 - c**4/18 + 3*c + 1. Let j(z) be the first derivative of a(z). Factor j(h).
-2*h**2*(h + 1)/3
Let l(p) be the second derivative of -p**7/189 - p**6/135 + p**5/90 + p**4/54 - 5*p + 1. Factor l(g).
-2*g**2*(g - 1)*(g + 1)**2/9
Let r(u) = -u**3 + 8*u**2 + 8*u + 13. Let s be r(9). Find k such that -13*k**4 - 6*k**2 + 0*k + 3*k + k - k**s - 24*k**3 = 0.
-1, 0, 2/7
Let k(l) be the second derivative of -l**7/210 + l**6/50 - 3*l**5/100 + l**4/60 - l. Let k(b) = 0. What is b?
0, 1
Let t(a) = -a**3 - a**2 + a + 1. Let w(x) = 3*x**3 + 6*x**2 - 2*x - 2. Let s(u) = 2*t(u) + w(u). Suppose s(o) = 0. Calculate o.
-4, 0
Factor -72/13*b + 4/13*b**2 - 16/13 + 18/13*b**3.
2*(b - 2)*(b + 2)*(9*b + 2)/13
Let v = 13 - 8. Suppose -4*j**3 + 5*j**3 + 5*j**3 - v*j**5 - 2*j**4 - j**3 + 2*j**2 = 0. Calculate j.
-1, -2/5, 0, 1
What is h in 6/11*h + 2/11*h**2 + 4/11 = 0?
-2, -1
Let m(r) = 2*r + 33. Let v be m(-15). Factor -o**2 + 0*o + 1/2 + 0*o**v + 1/2*o**4.
(o - 1)**2*(o + 1)**2/2
Let s(r) = -r**3 + 8*r**2 + 10*r - 9. Let u be s(9). Suppose 4*v = 2*m - 13 - 5, -2*m + 2*v = -12. Determine n, given that 0 - 2/7*n**m + 2/7*n + u*n**2 = 0.
-1, 0, 1
Let o(z) be the first derivative of z**4/8 + z**3/4 - z/4 - 20. Find x such that o(x) = 0.
-1, 1/2
Let s be (-2)/(-4) + (3/(-12))/1. Factor 0 - s*v + 0*v**2 + 1/4*v**3.
v*(v - 1)*(v + 1)/4
Suppose -8*p = -6*p. Let j(w) be the third derivative of 1/525*w**7 + 0*w - w**2 - 1/15*w**3 + 0*w**5 + p - 1/30*w**4 + 1/150*w**6. Factor j(y).
2*(y - 1)*(y + 1)**3/5
Factor -5*x**2 + 4*x**4 - 4*x**3 + 9*x**2 - 4*x**3.
4*x**2*(x - 1)**2
Let f = -3 + 5. Let p be 0*((-3)/f - -1). Factor 2/5*a**2 - 1/5*a + p - 1/5*a**3.
-a*(a - 1)**2/5
Let x(c) be the second derivative of -c**7/21 - c**6/15 + c**5/10 + c**4/6 + 7*c. Factor x(v).
-2*v**2*(v - 1)*(v + 1)**2
Let s(l) = l**4 + 9*l**3 + 2*l**2 + 6*l + 6. Let v(u) = u**3 + u**2 + u + 1. Let z(r) = -s(r) + 6*v(r). Find d such that z(d) = 0.
-4, 0, 1
Let h(n) be the second derivative of 2*n**6/45 + n**5/30 - n**4/6 - n**3/9 + n**2/3 + 11*n. Find w such that h(w) = 0.
-1, 1/2, 1
Let f(x) be the third derivative of x**2 + 1/900*x**6 + 0*x + 0*x**3 + 0 + 1/450*x**5 + 0*x**4. Let f(o) = 0. Calculate o.
-1, 0
Factor -2*r**2 + 2*r**2 + 9*r - 3*r**2 - 6.
-3*(r - 2)*(r - 1)
Factor 4 - 9*i + 2*i**2 - 2 + 2*i**2.
(i - 2)*(4*i - 1)
Let q(l) be the second derivative of 3*l**5/140 - l**4/14 - l**3/2 - 6*l**2/7 + 23*l. Factor q(s).
3*(s - 4)*(s + 1)**2/7
Suppose 4*k = 2*l + 108, 4*k + l = -48 + 156. Factor -k*q**3 + 5*q + 10*q + 3 + 0 + 9*q**2.
-3*(q - 1)*(3*q + 1)**2
Let i = 388 + -385. Factor 2/3 + 19/3*q**2 + 10/3*q**i + 11/3*q.
(q + 1)*(2*q + 1)*(5*q + 2)/3
Let i(z) be the second derivative of -z**7/14 + 3*z**5/10 - z**3/2 - 24*z. Determine o, given that i(o) = 0.
-1, 0, 1
Factor -8/5*i**3 - 16/5*i - 6/5 + 6*i**2.
-2*(i - 3)*(i - 1)*(4*i + 1)/5
Let c(a) be the second derivative of -a**5/50 - 2*a**4/15 - 4*a**3/15 + 6*a. Suppose c(j) = 0. What is j?
-2, 0
Let w(n) be the third derivative of -4/9*n**4 - n**2 + 1/18*n**6 + 0 + 0*n - 8/9*n**3 + 7/45*n**5. Solve w(d) = 0 for d.
-2, -2/5, 1
Let g(x) be the first derivative of -x**6/3 + 6*x**5/5 - x**4/2 - 2*x**3 + 2*x**2 - 9. Let g(r) = 0. What is r?
-1, 0, 1, 2
Let k(y) be the first derivative of -3*y - 3*y**4 + 6*y**2 + 3*y**3 - y**3 - y**3 - 6. Factor k(c).
-3*(c - 1)*(c + 1)*(4*c - 1)
Let f(s) be the first derivative of s**5/60 - s**3/6 + 3*s**2 - 2. Let p(l) be the second derivative of f(l). Factor p(c).
(c - 1)*(c + 1)
Let j = -7 - -18. Let k be 4/(-22) - (-2)/j. Solve -2*t**4 + k - 2/3*t - 2/3*t**2 + 10/3*t**3 = 0.
-1/3, 0, 1
Suppose m = -1, -5*o + o - 11 = -m. Let j = 1 - o. Factor -32/11*g**3 + 0 - 14/11*g**j - 2*g**2 - 4/11*g.
-2*g*(g + 1)**2*(7*g + 2)/11
Let f(o) be the third derivative of -o**7/945 + 11*o**6/540 - 19*o**5/270 + o**4/12 + 19*o**2. Factor f(v).
-2*v*(v - 9)*(v - 1)**2/9
Factor y**5 + 0*y**5 + 2*y**3 + y**4 + 3*y**4 - y**4.
y**3*(y + 1)*(y + 2)
Let c be (-5)/(-15) + 2/(-1 + -5). Factor -1/5*p**2 + c*p + 0.
-p**2/5
Let u = 86/3 - 82/3. What is v in -4/3 - 2/3*v + u*v**2 + 2/3*v**3 = 0?
-2, -1, 1
Let c be 9/(-3) - (-124)/28. Let f be (-2 - (-1 - 1))/2. Factor 8/7*z**5 + 2/7*z**3 + c*z**4 + 0*z + 0 + f*z**2.
2*z**3*(z + 1)*(4*z + 1)/7
Let h(f) be the third derivative of f**8/105 - 2*f**7/105 - f**6/50 + f**5/15 - f**4/30 + 13*f**2. Let h(g) = 0. What is g?
-1, 0, 1/4, 1
Let y = -5/6 + 77/78. Suppose 0 + 0*x**2 - 2/13*x + y*x**3 = 0. Calculate x.
-1, 0, 1
Let b(y) be the second derivative of y**6/120 - y**5/40 + y**4/48 + 5*y. Factor b(w).
w**2*(w - 1)**2/4
Factor -1/3*i - 1/2*i**2 - 1/6*i**3 + 0.
-i*(i + 1)*(i + 2)/6
Let v = 205/62 - -6/31. Let y = 25/6 - v. Let 0 - 1/3*i**3 - 1/3*i - y*i**2 = 0. What is i?
-1, 0
Let c(d) be the second derivative of d**6/360 + d**5/120 + d**3/6 + 5*d. Let b(z) be the second derivative of c(z). Let b(j) = 0. What is j?
-1, 0
Let g(d) be the second derivative of d**4/12 + 3*d**3/2 + 4*d**2 + 39*d. Solve g(c) = 0 for c.
-8, -1
Let f(w) = -w**2 + w - 1. Let y(p) = -4*p**2 + 3*p - 4. Let v(s) = -13*s**2 + 10*s - 13. Let t(q) = -6*v(q) + 21*y(q). Let u(g) = -5*f(g) + t(g). Factor u(z).
-(z + 1)**2
Let n = -72 - -74. Let x(q) be the first derivative of 0*q - q**n - 4/3*q**3 + 3 - 1/2*q**4. Factor x(y).
-2*y*(y + 1)**2
Let j(d) be the first derivative of 2*d**7/21 - d**6/15 - d**5/3 + d**4/3 + 7*d**2/2 - 9. Let v(g) be the second derivative of j(g). Solve v(r) = 0.
-1, 0, 2/5, 1
Let u(p) be the first derivative of -p**4/18 - 2*p**3/9 - p**2/3 + 2*p + 4. Let a(q) be the first derivative of u(q). Determine x, given that a(x) = 0.
-1
Let l(m) be the third derivative of -m**7/6300 - m**6/1800 + m**5/150 - m**4/24 - 4*m**2. Let z(h) be the second derivative of l(h). Factor z(c).
-2*(c - 1)*(c + 2)/5
Determine z, given that 0 - 9/8*z + 3/8*z**4 + 21/8*z**2 - 15/8*z**3 = 0.
0, 1, 3
Let z(v) be the third derivative of 1/15*v**3 - 1/300*v**6 + 0*v + 3*v**2 - 1/150*v**5 + 0 + 1/60*v**4. Find r, given that z(r) = 0.
-1, 1
Let j(i) = 2*i**2 - 4*i + 2. Let x be