 - 1/120*v**6 + 0*v**4. Solve y(f) = 0.
-1, 0, 1/3
Suppose 10*k - 3*k + 21 = 0. Let x be 3*3/(-9) - k. Solve -2/3*p**x + 8/3*p - 8/3 = 0 for p.
2
Let n be 0 + (0 - 0) + 3. Suppose 3*a - 6 = n. Factor 5*k**3 - 2*k**4 + 3*k**4 - a*k**3 - 2*k - 1.
(k - 1)*(k + 1)**3
Let q(n) = 3*n**3 + 6*n**2 + 6*n + 3. Let a(b) = -15*b**2 - 6 + 3*b**2 - 11*b + 1 - 6*b**3. Let l(v) = 3*a(v) + 5*q(v). Factor l(g).
-3*g*(g + 1)**2
Let a(c) be the third derivative of -c**6/840 + c**5/84 - c**4/56 - 3*c**3/14 + 3*c**2. Factor a(l).
-(l - 3)**2*(l + 1)/7
Let r = 63 + -60. Solve 4/3*k**r + 0 + 0*k - 2/3*k**2 - 2/3*k**4 = 0 for k.
0, 1
Let w(p) be the first derivative of -1/3*p + 3 - 2/15*p**5 + 1/12*p**4 + 1/3*p**3 - 1/6*p**2. Find g such that w(g) = 0.
-1, -1/2, 1
Let f(d) be the first derivative of d**6/180 - d**4/12 - 2*d**3/9 - 3*d**2/2 - 3. Let v(m) be the second derivative of f(m). Let v(y) = 0. Calculate y.
-1, 2
Let u be 65/30 + (-5)/30. Let q(o) be the second derivative of 0 + 1/2*o**u + 1/4*o**3 + 1/24*o**4 + 2*o. Factor q(v).
(v + 1)*(v + 2)/2
Suppose -5*a - u + 15 = 4*u, -5*u = -4*a - 15. Factor -2/3*d + 0*d**2 + 0*d**4 - 2/3*d**5 + a + 4/3*d**3.
-2*d*(d - 1)**2*(d + 1)**2/3
Let x(q) = 7*q**2 - 15*q + 11. Let k(l) = 4*l**2 - 8*l + 6. Let w(y) = 11*k(y) - 6*x(y). Find i, given that w(i) = 0.
-1, 0
Let h be ((-7)/(-16) + 0)*4. Let c be 2/(-6) + (-10)/(-12). Factor c - 9/4*w + h*w**2.
(w - 1)*(7*w - 2)/4
Suppose 2*s - 4 - 6 = 0. Let u(y) = -2*y + 12. Let z be u(s). Factor 3/5*f**z + 3/5*f - 3/5*f**3 - 3/5.
-3*(f - 1)**2*(f + 1)/5
Let c(k) be the third derivative of -k**8/33600 + k**6/3600 + k**4/12 - k**2. Let x(s) be the second derivative of c(s). Factor x(g).
-g*(g - 1)*(g + 1)/5
Let b be ((-4 - -1) + 44)*1. Let k = b - -1. Determine l so that 5*l**4 + 8 + 2*l**4 - 23*l**3 + l**3 - 3*l**4 - 32*l + k*l**2 = 0.
1/2, 1, 2
Let d be 2/3 + 24/(-63). Factor -d*j**2 + 0 + 2/7*j.
-2*j*(j - 1)/7
Suppose -4*q = -q - 6. Determine o, given that 0 - 3*o**2 - 3*o + q + 2*o**2 - 4 = 0.
-2, -1
Let n(r) be the first derivative of -r**4 + 23*r**3/3 - 15*r**2 - 9*r - 13. Factor n(p).
-(p - 3)**2*(4*p + 1)
Let n = -4 + 6. Let q = -8 + 11. Find p, given that p**n - 4*p**3 + 2*p**3 + p**q = 0.
0, 1
Let q(t) be the second derivative of 0*t**2 + 0 + 0*t**3 - 3/4*t**5 + 1/2*t**4 + 5/14*t**7 - 1/5*t**6 - t. Find f, given that q(f) = 0.
-1, 0, 2/5, 1
Let l(k) = k**2 + 6*k + 2. Let i be l(-6). Let m be 13/(-52)*-1*i. Let -m*t + 1 - 1/2*t**2 = 0. What is t?
-2, 1
Let t(i) = -5*i**4 - 5*i**3 + 4*i**2 - 2. Let h(s) = 5*s**4 + 6*s**3 - 5*s**2 + 3. Let w(n) = -2*h(n) - 3*t(n). Determine v so that w(v) = 0.
-1, 0, 2/5
Let r be 3/(-5) + 13/5. Factor -1/3*b + b**r - b**4 + 0 + 1/3*b**3.
-b*(b - 1)*(b + 1)*(3*b - 1)/3
Let p(u) = -4*u + 1. Let d be p(-1). Let l(r) be the second derivative of 0 - 1/100*r**d + 0*r**2 + 2*r - 1/30*r**3 + 1/30*r**4. Factor l(i).
-i*(i - 1)**2/5
Factor 3/4*n - 3/2*n**2 + 0 + 3/4*n**3.
3*n*(n - 1)**2/4
Let q(j) be the first derivative of 2*j**3/15 - 3*j**2/5 + 4*j/5 - 2. Factor q(m).
2*(m - 2)*(m - 1)/5
Factor -1/4*s**3 + 1/4*s - 1/4 + 1/4*s**2.
-(s - 1)**2*(s + 1)/4
Let x be (0 - 0)/(8 + 1 + -8). Let u(f) be the first derivative of 1/2*f**2 + x*f - 1 + 1/6*f**3. Suppose u(v) = 0. Calculate v.
-2, 0
Let b(n) be the first derivative of -1/3*n**3 - 1/2*n**2 + 0*n - 3. Factor b(t).
-t*(t + 1)
Suppose 9 = 5*w - 0*v + 4*v, -v + 3 = 2*w. Let f be (11 - 1)*w/2. Solve 2*m**3 - 7*m**5 + 5*m**5 - 5*m**4 - f*m**5 = 0 for m.
-1, 0, 2/7
Let n(r) = r**3 + 4*r**2 + 9*r - 2. Let i(z) = -z + 1. Let w(d) = -20*i(d) - 5*n(d). Determine b, given that w(b) = 0.
-2, -1
Find q, given that -10 + 3*q**2 + 7 + 0 - 3*q**3 + 3*q = 0.
-1, 1
Factor 2/11*y**2 - 2/11 - 2/11*y + 2/11*y**3.
2*(y - 1)*(y + 1)**2/11
Suppose -3*q**2 + 10*q - 4 - 9/2*q**3 = 0. Calculate q.
-2, 2/3
Suppose -10 = -6*c + c. Factor -5/2*o**2 + 1/2*o**3 + 4*o - c.
(o - 2)**2*(o - 1)/2
Let q(c) = -7*c**5 + 11*c**4 - 7*c**3 - 11*c**2 - c. Let v(f) = 3*f**5 - 5*f**4 + 3*f**3 + 5*f**2. Let a(h) = -2*q(h) - 5*v(h). Solve a(b) = 0 for b.
-1, 0, 1, 2
Suppose -7*m - 6 = -9*m. Let v(y) be the first derivative of -1 + y + 1/2*y**2 + 1/12*y**m. Factor v(r).
(r + 2)**2/4
Let y(n) be the third derivative of -1/1680*n**8 + 1/30*n**3 + 0 + 1/40*n**4 - 2*n**2 - 1/350*n**7 + 0*n + 1/150*n**5 - 1/300*n**6. Factor y(f).
-(f - 1)*(f + 1)**4/5
Suppose x = -2 + 5. Suppose -x = 3*b - 4*b. Factor 0*z**2 + z**b + z**3 - 4*z**3 - 2*z - 4*z**2.
-2*z*(z + 1)**2
Let d(o) be the first derivative of o**4/4 + 2*o**3/3 + o**2/2 - 8. Factor d(f).
f*(f + 1)**2
Let b be (2/(-8))/((-4)/(-8)). Let s = b + 1. Determine f so that -s*f + 0 + 1/2*f**2 = 0.
0, 1
Let 6*h - 16*h - 8*h**2 - 4 + 2*h**3 + 20*h = 0. What is h?
1, 2
Let b = 241/39 + -24/13. What is n in 4*n + 2*n**3 + 4/3 + 1/3*n**4 + b*n**2 = 0?
-2, -1
Let m be -6*12/(-45) + 2 - 3. Factor 0 - 3/5*z**2 + m*z.
-3*z*(z - 1)/5
Let p = -285 + 2569/9. Let w = -6 + 8. What is f in -2/3*f - 2/9*f**w - p = 0?
-2, -1
Let h(m) = -m + 2. Let g be h(0). Suppose 171*j = 177*j - 12. Find c such that 2/3 + 7/3*c**3 - j*c**g + 4/3*c**4 - 7/3*c = 0.
-2, -1, 1/4, 1
Let i be 2 + (0 - -1) + -2. Let z be (-5 + i)/(-1 + -1). Find b, given that 6*b**2 + z + 6*b + b**3 + 0 + b**3 = 0.
-1
Let q(j) be the first derivative of -5*j**4/4 + 5*j**3/3 - 23. Let q(n) = 0. What is n?
0, 1
Factor 65*g - 65*g - g**4 + g**3 - g**5 + g**2.
-g**2*(g - 1)*(g + 1)**2
Let s(j) = -7*j**5 + j**4 + 5*j**3 + 4*j**2 - 3*j + 5. Let m(y) = -3*y**5 + 2*y**3 + 2*y**2 - y + 2. Let h(b) = 15*m(b) - 6*s(b). Find v, given that h(v) = 0.
-1, 0, 1
Factor -6/5*k - 9/5 + 3/5*k**2.
3*(k - 3)*(k + 1)/5
Let n(c) = -c**3 + c - 1. Let k(v) = 6*v**4 + 12*v**3 + 6*v**2 - 4*v - 6. Let i be (-9 - -6) + 1*4. Let a(j) = i*k(j) - 2*n(j). Factor a(t).
2*(t + 1)**3*(3*t - 2)
Factor 0 + 2/3*b**3 - 8/15*b - 16/15*b**2.
2*b*(b - 2)*(5*b + 2)/15
Suppose -3*a + k - 3 = -a, 4*k - 5 = a. Let l = -1/2 - a. Determine z so that 1/2*z**3 - l*z - z**4 - 1/2 + 3/2*z**2 = 0.
-1, -1/2, 1
Let m be 7/4 - 5/(-20). Factor -3*k + 3*k**3 + 2*k**m - 6*k**2 - 3*k**4 + 7*k**2.
-3*k*(k - 1)**2*(k + 1)
Let c = 135 + -131. Let x(s) be the first derivative of -2/5*s**2 - 2/5*s - 2/15*s**3 - c. Let x(w) = 0. What is w?
-1
Let u(p) be the first derivative of -p**2 + 0*p - 1/3*p**3 + 5. Factor u(b).
-b*(b + 2)
Let a(r) be the third derivative of -r**6/108 - 4*r**5/135 - r**4/108 + 2*r**3/27 + 7*r**2. Factor a(t).
-2*(t + 1)**2*(5*t - 2)/9
Factor 2*n**2 - n**4 + 2 - 17*n**3 - 3 + 17*n**3.
-(n - 1)**2*(n + 1)**2
Let o be 21/35 - 86/(-40). Let b = 24 - 47/2. Factor 15/4*w**2 + 9/4*w + b + o*w**3 + 3/4*w**4.
(w + 1)**3*(3*w + 2)/4
Suppose -5*o = 5 - 15. Let r = o + 1. Determine a so that -2*a**5 + 4*a**5 + 3*a**3 - a**r - 4*a**4 = 0.
0, 1
Let p = 12 + -10. Suppose 1/3*a**3 + 0*a**p - 2/3 - a = 0. Calculate a.
-1, 2
Let s(c) = c - 1. Let t(o) = 5*o - 5. Let q(u) = -3*s(u) + t(u). Let i be q(2). Factor 2/7 + 2/7*h**i - 4/7*h.
2*(h - 1)**2/7
Let t(h) = h**2 - 2*h + 1. Let l(o) = 3*o**2 - 5*o + 2. Let d(r) = 2*l(r) - 5*t(r). Factor d(w).
(w - 1)*(w + 1)
Suppose -u = -3*u. Let a = 7 - 4. Suppose 0*w**4 + 0*w + 0 - 1/2*w**5 + u*w**2 + 1/2*w**a = 0. What is w?
-1, 0, 1
Let h(s) be the second derivative of s**6/720 + s**5/80 + s**4/24 - s**3 + 3*s. Let p(x) be the second derivative of h(x). Factor p(y).
(y + 1)*(y + 2)/2
Suppose 30 = 3*w + 12*w. Let x(c) be the third derivative of -1/60*c**6 + 0 + 0*c**4 + 0*c + 0*c**3 + 1/30*c**5 + c**w. Factor x(a).
-2*a**2*(a - 1)
Let y = -3 - -7/2. Suppose a + 1/2*a**2 + y = 0. Calculate a.
-1
Let g(t) be the first derivative of -9/16*t**4 + 1/4*t**2 + 1/8*t**6 + 0*t + 7 - 1/4*t**3 - 1/20*t**5. Find f such that g(f) = 0.
-1, 0, 1/3, 2
Let x(k) = -6*k**2 - 3*k. Let g(c) = -c**2 - c + 1. Let z(p) = 9*g(p) - x(p). Factor z(n).
-3*(n - 1)*(n + 3)
Suppose 15/2 - 25/2*s + 35/6*s**2 - 5/6*s**3 = 0. What is s?
1, 3
Suppose 0 = -5*x - m + 4, -4*x + 5*m = -x + 20. Let o be 6*(3 - 24/9). Determine h, given that -h + 0 + x - 10*h**o + 5*h = 0.
0, 2/5
Let p(m) be the first derivative of -2*m**3/15 + 8*m**2/5 - 32. What is q in p(q) = 0?
0, 8
Let w = -45 + 12. Let n = w - -67/2. Factor 0 - n*f - 1/2*f**2.
-f*(f + 1)/2
Factor 2/5 + 0*u - 2/5*u**2.
-2*(u - 1)*(u + 1)/5
Let u(y) = -137*y**5 - 67*y*