 y**4/4 - y**3/2 + y**2/2 - 6*y. Factor m(t).
-(t - 1)**3
Let w(g) be the second derivative of -3*g**5/20 + g**4/2 + g**3/2 - 3*g**2 + 11*g. Solve w(c) = 0 for c.
-1, 1, 2
Let n(h) = 7*h**4 - 4*h**3 - 9*h**2 + 6*h + 4. Let i(j) = -57*j**4 + 33*j**3 + 72*j**2 - 48*j - 33. Let b(z) = -4*i(z) - 33*n(z). Factor b(t).
-3*t*(t - 1)**2*(t + 2)
Let o be (-12*1 - -2)*-2. Let b be -3 - 5/(o/(-13)). Suppose 0*u + 0*u**2 + b*u**3 - u**4 + 0 = 0. Calculate u.
0, 1/4
Let m be -2 + (-1)/4 + (-45)/(-20). Let g(j) be the second derivative of 1/135*j**6 + m*j**4 + 1/90*j**5 + 0*j**2 + 0 + 0*j**3 - j. Factor g(c).
2*c**3*(c + 1)/9
Let x(h) = -4*h**2 + 2*h + 8. Let z = -28 + 15. Let d(i) = 9*i**2 - 5*i - 17. Let o(m) = z*x(m) - 6*d(m). Suppose o(q) = 0. Calculate q.
1
Let j(l) = -l**2 - 3 + 0 + 4 + 0*l + l. Let m(c) = 4*c**2 - 2*c - 6. Let n(q) = 6*j(q) + m(q). Factor n(b).
-2*b*(b - 2)
Let s(c) be the first derivative of -c**6/10 + 6*c**5/25 - 2*c**3/5 + 3*c**2/10 - 3. Solve s(a) = 0.
-1, 0, 1
Let p(c) = -2*c**2 - 2*c + 11. Let d(m) = 4*m**2 + 4*m - 8. Let w(g) = 9*g**2 + 9*g - 17. Let q(f) = -14*d(f) + 6*w(f). Let k(v) = 6*p(v) - 7*q(v). Factor k(y).
2*(y - 1)*(y + 2)
Let g(c) be the second derivative of c**8/112 + c**7/105 - 2*c**2 - 2*c. Let a(i) be the first derivative of g(i). Factor a(x).
x**4*(3*x + 2)
Let w(t) be the second derivative of -4*t - 1/4*t**4 + 0 + 0*t**2 + 1/2*t**3. Solve w(m) = 0 for m.
0, 1
Let j(x) be the third derivative of -x**8/1680 + x**6/300 - x**4/120 + 2*x**2. Determine s so that j(s) = 0.
-1, 0, 1
Let h(g) = -64*g**3 + 105*g**2 - 36*g + 13. Let x(z) = -32*z**3 + 52*z**2 - 18*z + 6. Let i(l) = 4*h(l) - 9*x(l). Let i(p) = 0. Calculate p.
1/4, 1
Let d = -90 - -632/7. Factor 4/7*x**2 - d*x + 2/7*x**3 - 4/7.
2*(x - 1)*(x + 1)*(x + 2)/7
Let f be (-5)/(-1) - 0/4. Suppose 7*k - 9*k + 4*k**2 - 1 + f*k = 0. Calculate k.
-1, 1/4
Let j be 249/(-54)*(-15 - -1). Let g = 65 - j. Factor -2/9*c - g + 2/3*c**2.
2*(c - 1)*(3*c + 2)/9
Let o = -2103 - -23161/11. Let h(u) = 2*u**3 - 3*u**2 + 7*u - 4. Let p be h(1). Factor -12/11*b**4 - 32/11*b**p - 18/11*b - 4/11 - o*b**3 - 2/11*b**5.
-2*(b + 1)**4*(b + 2)/11
Suppose 0 = -5*u + 3*z - 143 + 43, 2*u + 40 = 5*z. Let i be u/(-170) - (-56)/102. Factor 2/3*b**4 + 0 + 0*b - 2/3*b**3 - i*b**2 + 2/3*b**5.
2*b**2*(b - 1)*(b + 1)**2/3
Let y = -12 + 14. Solve -2*s - s**3 + 3*s - y - 3*s**4 + 5*s**2 + 0*s + 0*s = 0 for s.
-1, 2/3, 1
Suppose 7*y - 26 = 2. Factor 2/7*d**5 + 0*d + 0*d**2 - 2/7*d**3 + 0 + 0*d**y.
2*d**3*(d - 1)*(d + 1)/7
Suppose -4*w = -7*w + 12. Let y(j) be the first derivative of -2/45*j**5 - 1/9*j**2 - 1/27*j**6 + 1/9*j**w + 4/27*j**3 - 2/9*j + 2. Factor y(m).
-2*(m - 1)**2*(m + 1)**3/9
Let j(c) be the first derivative of c**6/4 - 3*c**5/5 + 3*c**4/8 - 1. Solve j(v) = 0.
0, 1
Let c(p) be the second derivative of p**10/15120 - p**8/3360 + p**4/4 - 2*p. Let h(u) be the third derivative of c(u). Solve h(f) = 0 for f.
-1, 0, 1
Let x be 1 + 0 + 1/(-7). Suppose 4*q = d + 13, -4*d - 3 = -d. Factor x*w**4 + 2/7*w**5 - 2/7 - 6/7*w - 4/7*w**2 + 4/7*w**q.
2*(w - 1)*(w + 1)**4/7
Let i = 2/245 + 974/735. Factor 1/3*p**2 - i + 0*p.
(p - 2)*(p + 2)/3
Let w(o) = o**4 - o**3 + o. Let q(p) = -6*p**4 - 22*p**3 - 36*p**2 - 18*p. Let h(b) = q(b) + 2*w(b). Factor h(g).
-4*g*(g + 1)**2*(g + 4)
Let k(u) = u**4 + 6*u**3 + 4*u**2 + 2*u + 1. Let r(s) = s**3 - s**2 - s. Let q = -5 - -4. Let w(x) = q*k(x) + 2*r(x). What is d in w(d) = 0?
-1
Let q(n) be the third derivative of n**8/6048 + n**7/945 + n**6/810 - n**4/24 + n**2. Let h(g) be the second derivative of q(g). Factor h(a).
2*a*(a + 2)*(5*a + 2)/9
Let q(x) = -x + 15. Let a be q(12). Let i(o) be the first derivative of 0*o**2 + 2/3*o**a + 3 + 0*o. Factor i(t).
2*t**2
Let i(n) be the second derivative of n**4/6 + n**3/12 + 2*n. Factor i(v).
v*(4*v + 1)/2
Let i(v) be the first derivative of 3/4*v**4 - 1/5*v**5 + 0*v - 3 + 1/2*v**2 - v**3. Find f such that i(f) = 0.
0, 1
Let l = 21 + -13. Let q be 38/8 - (-2)/l. Factor -4*f**3 - 3*f**5 + 2*f**3 + q*f**5.
2*f**3*(f - 1)*(f + 1)
Let c(w) = -w**2 + 4*w + 4. Let i be c(4). Determine q, given that -3*q**i + 5*q**3 + 0*q**3 + 3*q**2 - 2*q - 3*q**3 = 0.
-1, 0, 2/3, 1
Let f(j) = -13*j**2 - 43*j + 21. Let i(a) = 3*a**2 + 11*a - 5. Let z(c) = -2*f(c) - 9*i(c). Let k be z(-13). Factor 0 + 1/2*r**2 + 0*r + r**k.
r**2*(2*r + 1)/2
Let m(q) be the third derivative of 0*q**3 - 8*q**2 - 1/350*q**7 - 1/300*q**5 - 1/1680*q**8 + 0*q - 1/200*q**6 + 0*q**4 + 0. What is v in m(v) = 0?
-1, 0
Let r(i) = i**2 + i - 4. Let w be r(-3). Determine h, given that 2*h**4 - 2*h**2 - h**5 - h**4 + 2*h**w = 0.
0, 1
Let j be (-10)/(-4)*12/10. Suppose j*h = -h + 16. Factor -7 + 7 - 2*u**2 - h*u.
-2*u*(u + 2)
Suppose -4*g = -2*f + g + 3, -4*f - 5*g + 21 = 0. Suppose q - 15 = -f*q. Factor 2/5*r + 2/5 + 6/5*r**q - 2*r**2.
2*(r - 1)**2*(3*r + 1)/5
Suppose -22*i - 18*i**2 - 12 + 47*i**2 - 9*i**2 = 0. Calculate i.
-2/5, 3/2
Let t = -5 + 7. Suppose 0*b - t*b = 0. Let y + 3/2*y**2 + 1/2*y**3 + b = 0. Calculate y.
-2, -1, 0
Let j be (74/(-8))/((-918)/(-48)). Let a = j - -12/17. Factor -a*r**3 + 2/9*r**2 + 0 + 2/9*r - 2/9*r**4.
-2*r*(r - 1)*(r + 1)**2/9
Let r = -130 + 132. Let a(p) be the first derivative of -7/8*p**r - 2 + 1/6*p**3 - 1/2*p + 7/16*p**4. Find h, given that a(h) = 0.
-1, -2/7, 1
Let u be 1/(-4) - (-9)/4. Suppose m**4 - 2*m**u - 2*m**4 + 3*m**2 = 0. Calculate m.
-1, 0, 1
Suppose 3*r - 6 = -r + 3*i, -r = -i - 2. Suppose r + 1/4*q + 3/4*q**3 - q**2 = 0. What is q?
0, 1/3, 1
Suppose b + 1 = 4*u, -2*u = 3*b - 7*b + 10. Let 2/9*k**b + 2/3*k + 8/9*k**2 + 0 = 0. Calculate k.
-3, -1, 0
Let o(v) be the third derivative of v**10/45360 - v**9/11340 + v**7/1890 - v**6/1080 + v**4/8 - 2*v**2. Let d(r) be the second derivative of o(r). Factor d(x).
2*x*(x - 1)**3*(x + 1)/3
Let p be (-2)/((-15 + 13)/(-1 + 3)). Factor 0 + 2/7*j**3 + 0*j - 2/7*j**p.
2*j**2*(j - 1)/7
Let d(v) be the second derivative of v**7/6300 - v**6/300 + 3*v**5/100 + v**4/3 - 4*v. Let y(m) be the third derivative of d(m). Suppose y(r) = 0. What is r?
3
Let y(v) be the second derivative of v**6/240 - v**5/60 - v**4/48 + v**3/6 + 3*v**2/2 - 6*v. Let l(b) be the first derivative of y(b). Factor l(d).
(d - 2)*(d - 1)*(d + 1)/2
Let z be ((-32)/24)/((-15)/6). Let u(n) be the third derivative of 0*n - 3/5*n**4 + 0 - 7/300*n**6 - 4*n**2 - 1/5*n**5 - z*n**3. Factor u(p).
-2*(p + 2)**2*(7*p + 2)/5
Let q = -161/4 - -823/20. Let h(r) be the first derivative of -q*r**5 + 1/3*r**6 + 2 + 0*r - 1/6*r**3 + 0*r**2 + 3/4*r**4. Determine i, given that h(i) = 0.
0, 1/4, 1
Let u(d) be the second derivative of 0 + 0*d**2 + 1/48*d**4 - 2*d + 1/24*d**3. Suppose u(t) = 0. Calculate t.
-1, 0
Suppose 3*w = 2*w + 4. Suppose -w*x + x = -9. Factor -m - x*m**2 + m**2 + 3*m.
-2*m*(m - 1)
Let r be (4 - 10) + 8 + 38/(-20). Let o(a) be the second derivative of 1/2*a**3 + 0 - 3*a + 9/20*a**5 - 3/4*a**4 - r*a**6 + 0*a**2. What is m in o(m) = 0?
0, 1
Suppose r - 5 = -4*a + 6, 19 = 5*a + 3*r. Suppose 0*v**4 + v**5 + 0*v**5 + v**a - 3*v**4 + 3*v**3 - 2*v**2 = 0. What is v?
0, 1
Factor 1/4 + 1/4*d**4 + 3/2*d**2 + d + d**3.
(d + 1)**4/4
Let k(n) = -3*n - 4. Let f be k(-2). Factor w**2 + 0*w**2 + w**3 + 5*w - 4*w**f - 3*w.
w*(w - 2)*(w - 1)
Let g be 44/(-80) + 3/(-16)*-4. Factor 2/5*n + 1/5 + g*n**2.
(n + 1)**2/5
Find u, given that 18*u**3 - 32*u**3 + 4*u**2 + 15*u**3 - u**2 = 0.
-3, 0
Let w = 26 + -26. Let o(m) be the second derivative of -1/70*m**5 + 1/42*m**4 - m + w - 1/7*m**2 + 1/21*m**3. Determine l so that o(l) = 0.
-1, 1
Factor -2/3*g**4 - 2/9*g**5 + 2/3*g + 2/9 + 4/9*g**2 - 4/9*g**3.
-2*(g - 1)*(g + 1)**4/9
Let o = 8 + -6. Let x be o/7 - (-6)/(-21). Factor x + 6/7*u**3 + 4/7*u**2 - 10/7*u**4 + 0*u.
-2*u**2*(u - 1)*(5*u + 2)/7
Let k(v) = v**3 - 3*v**2 - v + 2. Let a be k(4). Let u be a/21*1*2. Let 2/3*m**2 + 2/3 + u*m = 0. Calculate m.
-1
Let t(b) = 4*b**5 + 8*b**4 - 9*b**3 - 8*b**2 + 2*b. Let y(u) = -u**5 + u**4 - u**2. Let d be (9/(-6))/3*-6. Let p(g) = d*y(g) - t(g). What is a in p(a) = 0?
-1, 0, 2/7, 1
Suppose 5*l = -5*g + 20, -5*g + 4*l = -1 - 1. Suppose -a = 4*a - 20. Factor 4 - 4 + a*q**2 - g*q + 0*q.
2*q*(2*q - 1)
Let s(k) = -5*k**4 + 25*k**3 + 20*k**2 - 25*k - 15. Let r(b) = b**3 + b - 1. Let l(w) = -15*r(w) + s(w). Suppose l(q