/8 + 5*z**3/12 + 4*z. Factor m(x).
-5*x*(x - 1)**3/2
Let u = -3146/9 + 350. Factor -u*x**2 - 2/9*x**3 + 0*x + 0.
-2*x**2*(x + 2)/9
Let k(r) be the second derivative of -r**5/12 - 5*r**4/12 + 10*r**2/3 - 15*r. Factor k(o).
-5*(o - 1)*(o + 2)**2/3
Let q(g) = g**5 - 12*g**4 + g**3 + 15*g**2 - 8*g - 3. Let r(x) = -4*x**5 + 60*x**4 - 4*x**3 - 76*x**2 + 40*x + 16. Let z(y) = 16*q(y) + 3*r(y). Factor z(v).
4*v*(v - 2)*(v - 1)**2*(v + 1)
Let p(d) be the third derivative of -d**8/1680 - d**7/2520 + d**4/8 - 4*d**2. Let o(j) be the second derivative of p(j). Suppose o(m) = 0. Calculate m.
-1/4, 0
Let i = 50/13 + -237/65. Solve 1/5 + 0*b - i*b**2 = 0.
-1, 1
Let t = -3 + -1. Let g(s) = s**4 - s**3 - s**2 + s. Let m(x) = -10*x**4 - 16*x**3 + 9*x**2 + 25*x - 8. Let q(k) = t*m(k) - 12*g(k). Factor q(p).
4*(p - 1)*(p + 2)**2*(7*p - 2)
Let d be (4/(-15))/((-8)/144). Factor 2/5*p**4 + 26/5*p**2 + d*p + 8/5 + 12/5*p**3.
2*(p + 1)**2*(p + 2)**2/5
Factor -2/9*n**4 + 0*n**3 + 0 + 2/9*n**2 + 0*n.
-2*n**2*(n - 1)*(n + 1)/9
Suppose -8*h + 36 = 2*g - 4*h, -5*g + 55 = 3*h. Suppose 2*y = z + 1, 4*z = -y + 3*y + g. Factor -2/7*l - 2/7*l**5 + 4/7*l**3 + 0*l**4 + 0 + 0*l**y.
-2*l*(l - 1)**2*(l + 1)**2/7
Let m(q) = -4*q**4 + 2*q**3 + q**2. Let o(r) = r**4. Let p(w) = -m(w) - 5*o(w). Solve p(v) = 0 for v.
-1, 0
Let v(b) = -b**3 - 5*b**2 + 5*b - 3. Let r be v(-6). Let m(a) be the first derivative of 0*a + 1/9*a**3 - r + 0*a**2 + 1/15*a**5 - 1/6*a**4. Factor m(w).
w**2*(w - 1)**2/3
Let u = 36 - 33. Find o such that 12/7*o**2 + 2/7*o**4 - 8/7*o**u + 2/7 - 8/7*o = 0.
1
Let w be (-8)/6 + 0 + 4 + -2. Let o(g) be the first derivative of 0*g - w*g**3 - 1 + g**2. Factor o(u).
-2*u*(u - 1)
What is o in -1 + 8*o - 3*o**2 - 4 - 2*o**2 + 2*o = 0?
1
Let i(r) be the third derivative of -r**8/336 + r**7/70 - r**6/40 + r**5/60 + 3*r**2. Factor i(p).
-p**2*(p - 1)**3
Let a be (-3 - -5) + (-5 - -3). Suppose a = c + 5, -c - 5 = -5*h + 3*h. Find i, given that h + i - 1/2*i**2 = 0.
0, 2
Factor -2/9*l**2 + 4/9 + 2/9*l.
-2*(l - 2)*(l + 1)/9
Let g be 5 + 1 + 1 + -1. What is d in 7*d**2 + 0*d**3 - 10*d - 2*d**3 + 7*d**2 + 4 - g*d**2 = 0?
1, 2
Let g(m) be the first derivative of 4*m**3/3 - 4*m - 8. Factor g(n).
4*(n - 1)*(n + 1)
Determine i so that 1/4*i**2 + 1/2*i + 1/4 = 0.
-1
Let f(s) = -11*s - 1. Let u be f(-1). Suppose u*t = 5*t. Factor 3*i**4 + t*i**4 + 2*i**5 - 3*i**5 - 3*i**3 + i**2.
-i**2*(i - 1)**3
Let d be (1 - 7)/(4/(-10)). Suppose 2*p + 2*g + 6 = 0, 3*g - 4*g - d = -5*p. Determine c so that c**2 + 0*c - 3*c**2 - p*c = 0.
-1, 0
Let h(p) be the second derivative of -p**6/240 + p**5/80 - p**3/24 + p**2/16 - 9*p. Let h(s) = 0. Calculate s.
-1, 1
Suppose -3 = -a - 0. Factor k**5 - k + k**2 - a*k - 4*k - 5*k**4 + 4 + 7*k**3.
(k - 2)**2*(k - 1)**2*(k + 1)
Let k(n) be the third derivative of 0*n - 1/32*n**4 - 2*n**2 + 0 + 0*n**3 + 1/80*n**5. Determine q so that k(q) = 0.
0, 1
Let f = -21 + 21. Suppose -4*m + 8 + 0 = f. Factor -2/3*h**m - 2/3*h + 4/3.
-2*(h - 1)*(h + 2)/3
Let w = -38 + 192/5. Let w*o - 2/5*o**3 - 2/5 + 2/5*o**2 = 0. What is o?
-1, 1
Let a = 5 + -8. Let h be 5 - (-6)/a - 1. Factor -3*o**h - 3*o**2 + 4*o**2.
-2*o**2
Let i(w) be the first derivative of -w**6/15 - 6*w**5/25 - w**4/5 + 4*w**3/15 + 3*w**2/5 + 2*w/5 + 3. Suppose i(q) = 0. Calculate q.
-1, 1
Let p(g) be the first derivative of g**4/8 + g**3/3 - g**2/4 - g + 5. Factor p(f).
(f - 1)*(f + 1)*(f + 2)/2
Let z(j) be the second derivative of 1/21*j**7 - 4*j + 0 + 0*j**2 - 1/5*j**5 + 1/3*j**3 + 0*j**4 + 0*j**6. Determine b so that z(b) = 0.
-1, 0, 1
Suppose 4*q + g = 31, -g - 2*g + 37 = 4*q. Let c be (-14)/(-56)*(1 + q). Determine z, given that -6/5*z**c + 0*z**3 + 0 + 2/5*z**4 + 4/5*z = 0.
-2, 0, 1
Factor -7/4*c - 5/4*c**3 - 1/2 - 9/4*c**2 - 1/4*c**4.
-(c + 1)**3*(c + 2)/4
Let o(d) be the third derivative of -d**7/630 - d**6/60 - d**5/15 - d**4/4 + 2*d**2. Let h(c) be the second derivative of o(c). Factor h(y).
-4*(y + 1)*(y + 2)
Let m = -4 - -6. Suppose -5 = -3*j + m*j. Factor -10*w**3 - 8*w**j + 5*w**2 - 16*w**4 - 2*w**2 - 5*w**2.
-2*w**2*(w + 1)*(2*w + 1)**2
Let p(t) be the third derivative of 0*t + 0*t**3 - 1/900*t**6 + 1/2520*t**8 + 1/450*t**5 - 1/1575*t**7 + 0*t**4 + 0 + 3*t**2. Factor p(o).
2*o**2*(o - 1)**2*(o + 1)/15
Suppose -9 = -0*o - 3*o. Determine c so that 2*c - 7*c**2 + c**5 - 5*c**4 + 9*c**o + 3*c - 3*c = 0.
0, 1, 2
Let s(u) be the first derivative of u**3/3 - 3*u**2/2 + 2*u + 4. Let t(x) = 2*x**2 - 6*x + 4. Let w(j) = -10*s(j) + 6*t(j). Factor w(m).
2*(m - 2)*(m - 1)
Let l(i) be the first derivative of -i**3/5 + 3*i**2/2 - 12*i/5 - 7. Factor l(t).
-3*(t - 4)*(t - 1)/5
Let y(s) be the third derivative of -s**8/1176 + s**7/735 + s**6/210 - s**5/105 - s**4/84 + s**3/21 + 7*s**2. Factor y(f).
-2*(f - 1)**3*(f + 1)**2/7
Let o(d) = -d**3 - d**2 + d - 1. Let b(f) = -8*f**3 - 2*f**2 + 18*f - 10. Let h(r) = b(r) - 10*o(r). Factor h(z).
2*z*(z + 2)**2
Let 6/5*u**3 - 6/5*u**2 - 2/5*u**4 + 2/5*u + 0 = 0. What is u?
0, 1
Suppose 0 = 3*f - 2*f - 2. Find s such that 4 - 4 + 2*s - 4*s**f - 10*s = 0.
-2, 0
Let g(o) be the first derivative of -o**5/20 + o**3/2 + o**2 + 3*o/4 + 33. Determine x, given that g(x) = 0.
-1, 3
Suppose -12 = 5*x - 5*f - 2, 3*x - 5*f = -10. Determine c, given that -2/13*c**4 + 0 + 0*c**2 - 4/13*c**3 + x*c = 0.
-2, 0
Let a(t) be the first derivative of 39*t**4/4 - 54*t**3 + 90*t**2 - 24*t + 39. Determine j, given that a(j) = 0.
2/13, 2
Factor 3/2*q + 1/2*q**5 + 3*q**4 + 5*q**2 + 0 + 6*q**3.
q*(q + 1)**3*(q + 3)/2
Let p(s) be the first derivative of 2*s**6/3 - 4*s**5/5 - 2*s**4 - 36. Factor p(f).
4*f**3*(f - 2)*(f + 1)
Let f = 28589/9 - 3173. Let 0*c + 0 + f*c**4 - 22/9*c**3 - 14/9*c**5 + 4/9*c**2 = 0. What is c?
0, 2/7, 1
Let n be 2/(-3 - 34/(-10)). Let j(u) = u**3 + 25*u**2 - 23*u + 7. Let i(m) = 2*m**3 + 38*m**2 - 34*m + 10. Let z(h) = n*i(h) - 8*j(h). Factor z(b).
2*(b - 3)*(b - 1)**2
Let g be -2*(1 - 0)*-1. Suppose -2*a + 2*u - 6 = 0, -2*a - 3*a + 3*u - 5 = 0. What is i in -g*i**3 + 4*i + a*i**3 - i**3 - i**3 - 2*i**2 = 0?
-2, 0, 1
Let x(c) be the first derivative of 3/2*c**4 + 0*c + 0*c**3 + 0*c**2 - 3/5*c**5 + 4. Let x(h) = 0. Calculate h.
0, 2
Let l(z) = -2*z - 3. Let p be l(-3). Suppose -p*u = -9 - 0. Factor 0*j + 1/4*j**u + 0 - 1/4*j**2.
j**2*(j - 1)/4
Let d be 2 - (0 + 3 - 1). Let j(q) be the second derivative of 0*q**5 + q + 0*q**2 + 0*q**3 - 1/42*q**7 + d*q**4 + 1/30*q**6 + 0. Factor j(t).
-t**4*(t - 1)
Factor -1/4*n**2 - 1/2*n + 3/4.
-(n - 1)*(n + 3)/4
Let d(x) be the second derivative of 0 - x + 0*x**3 + 0*x**2 + 1/18*x**4 + 1/45*x**6 + 1/15*x**5. Factor d(c).
2*c**2*(c + 1)**2/3
What is c in 0*c + 4/5*c**4 + 4/5*c**5 + 0 - 4/5*c**3 - 4/5*c**2 = 0?
-1, 0, 1
Let 0 + 0*s**3 - 3/5*s**5 + 0*s + 0*s**2 - 3/5*s**4 = 0. Calculate s.
-1, 0
Solve -5 - 7/2*a - 1/2*a**2 = 0 for a.
-5, -2
Suppose 4*c + 2*q = -2 - 0, 5*c + 3*q = -5. Determine r, given that 6*r - 14*r + 6*r - r**c = 0.
-2, 0
Let t = -2 - -8. Let g be (12/(-9))/(t/(-9)). Suppose v**2 + 2*v**4 + 0*v**g - 2*v**4 - v**4 = 0. What is v?
-1, 0, 1
Let p(r) be the first derivative of -1/6*r**4 + 3 + 4/9*r**3 + 0*r - 1/3*r**2. Factor p(d).
-2*d*(d - 1)**2/3
Let j = 7851/25 - 314. Let t = 41/225 + j. Factor -4/9 + t*o + 2/9*o**2.
2*(o - 1)*(o + 2)/9
Let m(y) be the second derivative of -y**9/5040 - y**8/2240 - y**4/6 - 4*y. Let q(p) be the third derivative of m(p). What is v in q(v) = 0?
-1, 0
Factor -2*q - q + 10*q - 3*q - 28*q**2.
-4*q*(7*q - 1)
Let s(r) = -3*r**3 - 8*r**2 - 6*r. Let t(x) = -22*x**2 + 11*x**2 + 10*x**2. Let o(b) = s(b) + t(b). Let o(c) = 0. What is c?
-2, -1, 0
Let p = -6273 + 1474157/235. Let w = p - -92/235. Find t such that 0*t**2 + 0*t**4 - 2/5*t**3 + 0*t + w*t**5 + 0 = 0.
-1, 0, 1
Let m(c) be the first derivative of 5 + 2/3*c**3 - 2*c**2 + 2*c. Factor m(o).
2*(o - 1)**2
Factor 0 - 3/2*s + 9/4*s**2.
3*s*(3*s - 2)/4
Let z(y) = y**2 - y + 7. Let p be z(0). Factor -2*f - 1 - 3*f**3 - p*f**2 + 0*f + 1.
-f*(f + 2)*(3*f + 1)
Let g(o) = o**2 - o + 1. Let p(b) = -16*b**2 + 4*b - 26. Let z(k) = 28*g(k) + 2*p(k). Determine w so that z(w) = 0.
-3, -2
Let m(t) be the third derivative of -t**7/15120 - t**6/1440 - t**5/360 + t**4/12 - t**2. Let r(v) be the second derivative of m(v). Factor r(n).
-(n + 1)*(n + 2)/6
Let f = -106 + 109. De