tor 2/9*k**d + 0 - 4/9*k**3 + 0*k + 2/9*k**w.
2*k**2*(k - 1)**2/9
Solve 0*q + 0 + 0*q**4 + 0*q**3 + 0*q**2 - 3/5*q**5 = 0 for q.
0
Suppose 4*h - 2 = -2*x - 0*h, -5*x = 5*h - 10. Let k be (-19)/(-5) - (x + 0). Suppose -k*u + 18/5*u**2 + 0 - 14/5*u**3 = 0. Calculate u.
0, 2/7, 1
Let m(s) be the third derivative of s**7/6 + 2*s**6/3 + 11*s**5/12 + 5*s**4/12 + 10*s**2. Solve m(d) = 0.
-1, -2/7, 0
Let a = -12 - -10. Let k(o) = 81*o**4 + 33*o**3 - 33*o**2 - 33*o + 33. Let y(u) = -5*u**4 - 2*u**3 + 2*u**2 + 2*u - 2. Let z(v) = a*k(v) - 33*y(v). Factor z(n).
3*n**4
Determine d so that 16/9 - 20/3*d + 14/9*d**2 = 0.
2/7, 4
Let y(a) be the third derivative of 0*a**4 + 0*a + 1/30*a**6 + 0*a**3 + 3/35*a**7 + 0 - 4*a**2 + 1/24*a**8 + 0*a**5. Factor y(z).
2*z**3*(z + 1)*(7*z + 2)
Factor 6*w**4 - 11*w**4 - 28*w**2 + 8*w**3 - 8*w + 33*w**4.
4*w*(w - 1)*(w + 1)*(7*w + 2)
Let c(y) be the third derivative of -5*y**8/336 - 23*y**7/840 + 19*y**6/480 + 5*y**5/48 + y**4/96 - y**3/12 + 5*y**2. Suppose c(i) = 0. What is i?
-1, -2/5, 1/4, 1
Let x(h) be the first derivative of h**6/10 - 12*h**5/25 + 9*h**4/10 - 4*h**3/5 + 3*h**2/10 + 10. Factor x(d).
3*d*(d - 1)**4/5
Let y be (-1)/4*(-1 + -1). Let c = -37 + 37. Determine d so that c - y*d**2 + 0*d - 3/4*d**3 = 0.
-2/3, 0
Let a(j) be the first derivative of -j**4/18 + j**3/9 - 2*j + 2. Let r(o) be the first derivative of a(o). Factor r(v).
-2*v*(v - 1)/3
Let y(h) = -2*h + 15. Let o be y(13). Let u be (-1)/5*11/o. Find t, given that 0*t + 0*t**2 - u*t**4 - 2/5*t**3 + 0 = 0.
-2, 0
Let n(k) be the second derivative of k**8/504 - k**6/90 + k**4/36 + 3*k**2/2 + 4*k. Let p(x) be the first derivative of n(x). Let p(f) = 0. What is f?
-1, 0, 1
Determine m so that 0*m**3 + 0 - 1/2*m**5 - m**2 + m**4 + 1/2*m = 0.
-1, 0, 1
Let a(d) be the third derivative of d**7/1680 - d**6/360 + d**5/240 - d**3/6 - d**2. Let k(v) be the first derivative of a(v). Let k(q) = 0. Calculate q.
0, 1
Let u(q) = -7*q**3 - q - 4. Let k(m) be the third derivative of 13*m**6/120 + m**4/24 + 7*m**3/6 + 8*m**2. Let x(o) = 4*k(o) + 7*u(o). Factor x(j).
3*j*(j - 1)*(j + 1)
Suppose -p - 15 = -5*v, 6*v = 3*v + 3*p + 9. Suppose -5*c + 3*l = -25, -8 = -c + l - 1. Factor -2/9*m**v + 2/9*m + 2/9*m**c - 2/9.
-2*(m - 1)**2*(m + 1)/9
Let f be (-75)/12 + (-1)/(-4). Let y = f - -6. Suppose y*h - 10/3*h**3 + 4/3*h**2 + 0 = 0. What is h?
0, 2/5
Factor 0*n - 1/4*n**3 - 1/8*n**2 + 0 - 1/8*n**4.
-n**2*(n + 1)**2/8
Let a(m) = -m**3 + 2*m**2 - 3*m + 2. Let b(w) = -2*w**3 + 3*w**2 - 4*w + 3. Let j(t) = 3*a(t) - 2*b(t). Solve j(z) = 0.
-1, 0, 1
Let s(t) = t**3 - t**2 - t - 1. Let n be s(-2). Let q = 16 + n. Find d, given that 0 - 2/3*d**q + 0*d**2 - 2/3*d**3 + 4/3*d**4 + 0*d = 0.
0, 1
Let p(x) be the second derivative of x**4/6 + x**3/2 + 9*x**2/2 - 10*x. Let c be p(-3). Factor -6*l**2 - 18*l - 2/3*l**3 - c.
-2*(l + 3)**3/3
Let i(m) = -m**2 - 4*m - 1. Let u be i(-2). Suppose u*d + 6 = 6*d. Factor 15*h**4 + 14*h + d*h**3 - 22*h**2 + 4 + 3*h**4 - 16*h**3.
2*(h - 1)**2*(h + 1)*(9*h + 2)
Factor -1 + 0*i**4 - 2*i**4 + i**2 + i**4 + i**2.
-(i - 1)**2*(i + 1)**2
Let w(v) = 21*v**3 + 36*v**2 + 8*v. Let a(l) = l**3. Let f(g) = -5*a(g) + w(g). Factor f(q).
4*q*(q + 2)*(4*q + 1)
Suppose f - 5 = o, 3*o = -3*f + 3 + 18. Factor -2*v**2 + 5*v**2 - f*v**2 + 3.
-3*(v - 1)*(v + 1)
Let u(z) be the first derivative of 2*z**5/45 - z**4/9 + 2*z**3/27 + 6. Factor u(c).
2*c**2*(c - 1)**2/9
Let l(s) be the first derivative of -4*s**5/5 + 2*s**4 - 4*s**3/3 - 2. Let l(d) = 0. Calculate d.
0, 1
Let q = -11733/5 + 81251/35. Let u = -24 - q. Factor 8/7*b + 2/7*b**2 + u.
2*(b + 2)**2/7
Let q be -3*1 + 4 + (-8)/(-10). Factor 6/5 - q*i**2 - 3/5*i**3 + 3/5*i**4 + 3/5*i.
3*(i - 2)*(i - 1)*(i + 1)**2/5
Let i be (1 - -4)*3/5. Let n(a) be the second derivative of 0*a**i + 0 - a + 1/48*a**4 - 1/8*a**2. Factor n(r).
(r - 1)*(r + 1)/4
Let v(n) be the third derivative of n**5/60 + n**4/8 - 2*n**3/3 + 3*n**2. Factor v(q).
(q - 1)*(q + 4)
Let n(c) be the second derivative of c**5/20 + c**4/6 + c**3/6 - 2*c. Let k be n(-1). Factor o**4 + k*o**2 + o**2 + 2*o**5 + o**3 - 2*o**4 - 3*o**5.
-o**2*(o - 1)*(o + 1)**2
Let g(y) be the second derivative of y**5/30 - 2*y**4/9 + 5*y**3/9 - 2*y**2/3 - 6*y. Find i, given that g(i) = 0.
1, 2
Let w(r) be the first derivative of -r**7/189 - r**6/135 + r**5/90 + r**4/54 - r - 3. Let t(f) be the first derivative of w(f). Factor t(o).
-2*o**2*(o - 1)*(o + 1)**2/9
Let b = 1253/1676 - -1/419. Factor b*k**2 - 3/4*k**3 + 3/4*k - 3/4.
-3*(k - 1)**2*(k + 1)/4
Let k be -12*(-3)/(18/8). Let j = k + -10. Let l(x) = 8*x**2 - 33*x + 8. Let r(g) = g**2 - 4*g + 1. Let o(c) = j*l(c) - 51*r(c). Factor o(h).
-3*(h - 1)**2
Let v(p) be the second derivative of 0 + 1/21*p**3 - p + 0*p**2 - 1/42*p**4. Factor v(k).
-2*k*(k - 1)/7
Suppose -45*a = -43*a - 6. Find r such that 0 - 5/4*r**5 + r**2 + 0*r - 13/4*r**4 - r**a = 0.
-2, -1, 0, 2/5
Let l be ((-1)/(-18)*-2)/(60/(-9)). Let f(c) be the third derivative of -2/15*c**5 + 0*c - 5/12*c**4 + 0 - 2/3*c**3 - c**2 - l*c**6. Let f(r) = 0. Calculate r.
-2, -1
Let z(w) be the second derivative of -w**6/1080 + w**5/180 - w**4/72 - w**3/6 + 3*w. Let n(g) be the second derivative of z(g). Factor n(c).
-(c - 1)**2/3
Let w = -71 - -71. Suppose -p + 3 = -0. Factor w - 2*z**p - 5*z - 2 + 7*z + 2*z**2.
-2*(z - 1)**2*(z + 1)
Factor 22/5*l - 2/5*l**2 - 4.
-2*(l - 10)*(l - 1)/5
Suppose 3*q = p + 6, 0 = -0*p - 5*p - 2*q + 21. Suppose 2*f + p*d = -3*f + 16, 2*d = 2*f. Factor 0*c**2 - 4*c - f*c**2 + 0*c - 2.
-2*(c + 1)**2
Suppose 5 = -3*m - 31. Let i = m - -15. What is o in 0*o**2 - 2/9 + 4/9*o**i - 4/9*o + 2/9*o**4 = 0?
-1, 1
Let y(o) be the first derivative of -7*o**3/3 + 6*o**2 + o - 1. Let q(l) = -21*l**2 + 35*l + 2. Let r(n) = 3*q(n) - 8*y(n). Factor r(s).
-(s - 1)*(7*s - 2)
Let w(i) be the second derivative of i**7/672 + i**6/320 - i**5/80 - i**4/3 - i. Let s(v) be the third derivative of w(v). What is k in s(k) = 0?
-1, 2/5
Factor 2*s**5 - 2*s**2 - 2*s**2 + 8*s**3 - 2403 - 10*s + 2399 + 8*s**4.
2*(s - 1)*(s + 1)**3*(s + 2)
Factor 42*u**2 + 42*u + 9*u + 93 - 84.
3*(u + 1)*(14*u + 3)
Let c be (3/(-4))/(3/(-12)). Suppose -c*k = -k - 2*n, -3*k - 4*n = 0. Factor 0 + 0*r**2 - 1/2*r**4 + 0*r**3 + k*r.
-r**4/2
Let f(n) be the first derivative of -n**6/720 + n**4/48 - n**3/3 + 1. Let y(q) be the third derivative of f(q). Solve y(h) = 0.
-1, 1
Let 3*f**2 - 8*f**2 + 10*f**3 + 125*f**4 - 130*f**4 = 0. Calculate f.
0, 1
Let d be 4/(((-24)/(-3))/(10 - 4)). Factor -d*x**4 - 6*x**2 + 3/2*x + 0 + 15/2*x**3.
-3*x*(x - 1)**2*(2*x - 1)/2
Let d = -605 - -2737/5. Let y = 58 + d. Factor -4/5*f + 0 + y*f**2.
2*f*(f - 2)/5
Factor 3/7*f**4 + 6/7*f**3 - 3/7*f**2 - 6/7*f + 0.
3*f*(f - 1)*(f + 1)*(f + 2)/7
Let r(b) = b**3 + 4*b + 5 - 4*b - 7*b**2 + 2*b**2. Let j be r(5). Factor 0*s**3 - 1/4*s**4 + 0*s + 0 + 1/4*s**j + 0*s**2.
s**4*(s - 1)/4
What is k in -11*k**2 + 3*k**2 - 6 + 18*k + 27 + 5*k**2 = 0?
-1, 7
Let p(a) be the second derivative of a**7/63 + a**6/15 - 2*a**4/9 - 19*a. Determine n so that p(n) = 0.
-2, 0, 1
Let z(i) be the second derivative of i**4/78 - 5*i**3/39 - 6*i**2/13 - 15*i. Factor z(q).
2*(q - 6)*(q + 1)/13
Let d = -35 + 37. Factor 5/3*f**4 + 1/3*f**5 + 5/3*f + 1/3 + 10/3*f**d + 10/3*f**3.
(f + 1)**5/3
Let z(k) = -4*k**3 + 4*k**2 - 5*k - 5. Let p(b) = -b + 3 - 3*b**2 + 5*b + 2*b**3 + 1 + b**3. Let w(u) = -5*p(u) - 4*z(u). Factor w(f).
f**2*(f - 1)
Suppose 0 = 5*x - 29 - 26. Suppose -3*w = -l + 19, l - x = -3*l - w. Let 11*j**3 - 6*j**l - j - 4*j**3 + 2*j**4 - 2*j**2 = 0. What is j?
-1/4, 0, 1
Let c(s) = s. Let a(h) = -2*h**2 + 2*h + 2. Let r be 1 - ((-4)/2 - -3). Suppose 3*l - 7*l - 4 = r. Let m(k) = l*a(k) + 2*c(k). Factor m(x).
2*(x - 1)*(x + 1)
Let 46 - 29*f**2 - 16 - 25*f - 25*f**2 + 59*f**2 = 0. What is f?
2, 3
Solve 7/3*i**4 + 0*i**2 + 0 + 2/3*i**3 + 5/3*i**5 + 0*i = 0.
-1, -2/5, 0
Let r = -2 - -5. Factor 0*q**2 + 0 + 1/8*q**r + 0*q**4 - 1/8*q**5 + 0*q.
-q**3*(q - 1)*(q + 1)/8
Let k(z) = -2*z**2 - 2*z + 6. Let h(n) = -n**2 - 8*n + 5. Let i(c) = c. Let u(y) = h(y) + 5*i(y). Let b(t) = -5*k(t) + 6*u(t). Factor b(o).
4*o*(o - 2)
Let b(s) be the third derivative of s**9/1512 + s**8/420 - s**7/420 - s**6/90 + s**3/3 - 2*s**2. Let k(v) be the first derivative of b(v). Factor k(r).
2*r**