
-12, 0
Let t = -4155 - -4155. Factor t - 3/2*d**2 + d.
-d*(3*d - 2)/2
Determine s, given that 0 - 10/3*s**3 + 0*s + 4*s**4 - 2/3*s**5 - 8*s**2 = 0.
-1, 0, 3, 4
Factor 4/3*w**2 - 96 - 56/3*w.
4*(w - 18)*(w + 4)/3
Suppose -7*n - 2 = -5*n. Let q be 6 + 90/(-24) + n/4. Factor -3*y**q + 2/3 + 7/3*y**4 + 5/3*y**3 - 5/3*y.
(y - 1)*(y + 1)**2*(7*y - 2)/3
Let s(h) be the third derivative of -15*h**6/4 - 11*h**5/4 + 5*h**4/3 + 5*h**3/2 - h**2 + 110*h. Factor s(o).
-5*(3*o + 1)**2*(10*o - 3)
Let i(z) = -5*z**3 + 27*z**2 + 5*z + 8. Let k(c) = 2*c**3 - 9*c**2 - 2*c - 3. Let w(r) = 3*i(r) + 8*k(r). Let j be w(-9). Factor -3*h**2 + 4 - 1 + j*h - 9*h.
-3*(h - 1)*(h + 1)
Let u(i) be the third derivative of i**8/112 + 29*i**7/35 + 897*i**6/40 + 406*i**5/5 + 98*i**4 - 4*i**2 + 41. Solve u(f) = 0 for f.
-28, -1, 0
Let l(n) = -7*n - 11. Let q be l(-2). Let w(p) be the first derivative of 3*p + 3 + 1/3*p**q + 2*p**2. Factor w(o).
(o + 1)*(o + 3)
Suppose -4*a + t - 124 + 131 = 0, -2*a + 4*t = 0. Factor -2/3*j**a + 0 - 8/3*j.
-2*j*(j + 4)/3
Factor 4/5*c + c**3 + 1/5*c**4 + 8/5*c**2 + 0.
c*(c + 1)*(c + 2)**2/5
Let r = 56 - 52. Factor -4*q**5 + 17 + 4*q**3 - 4*q**4 + r*q**2 - 17.
-4*q**2*(q - 1)*(q + 1)**2
Factor -442/7*o**3 - 676/7*o**2 - 8*o**4 + 0*o - 2/7*o**5 + 0.
-2*o**2*(o + 2)*(o + 13)**2/7
Let m(b) be the second derivative of -b**5/130 - 3*b**4/13 + 25*b**3/39 + 114*b**2/13 + 7*b - 21. What is r in m(r) = 0?
-19, -2, 3
Let w(r) be the second derivative of -r**4/60 - 2*r**3/5 - 18*r**2/5 + 382*r. Factor w(l).
-(l + 6)**2/5
Factor 4*h**4 + 0*h**2 - 94*h**2 + 24*h**3 + 0*h**4 + 104*h - 36 - 2*h**2.
4*(h - 1)**3*(h + 9)
Let q(a) be the first derivative of -3/2*a - 38 + 1/12*a**3 + 1/8*a**2. Let q(t) = 0. What is t?
-3, 2
Factor 2*o**3 + 0 + 3/4*o**4 - 1/2*o + 3/4*o**2.
o*(o + 1)*(o + 2)*(3*o - 1)/4
Let t = -21 - -25. Determine v, given that 148*v**2 - 3*v**t + 80*v + 23*v**4 + 16*v**4 + 120*v**3 + 16 = 0.
-1, -2/3
Let f(r) be the second derivative of -r**6/40 + 7*r**4/16 - 3*r**3/4 - 201*r. Factor f(q).
-3*q*(q - 2)*(q - 1)*(q + 3)/4
Suppose 3*w - 10 = 4*j - 4, 10 = 5*w - 4*j. Suppose 3*f - 38 = -5*n + 5*f, -w*n + 13 = -3*f. Let 3*r**2 + 4*r + 1 + r - n*r**3 + 0*r - r**3 = 0. Calculate r.
-1/3, 1
Suppose -115*c**4 + 48*c**2 + 4*c - 13*c**2 + 15*c**5 - 75*c**3 + 86*c - 110*c**3 = 0. What is c?
-1, 0, 2/3, 9
Let k(y) be the third derivative of -y**8/5880 + y**7/1470 - y**6/1260 + 10*y**3/3 + 6*y**2. Let w(o) be the first derivative of k(o). Factor w(x).
-2*x**2*(x - 1)**2/7
Let b be (-24)/(-3*(-1)/(-2)). Let f(t) = -2*t**3 + t**2 - t - 2. Let l be f(-1). Determine d so that -b*d**3 - 20*d**l + 2*d**4 - 6*d - 3*d - 6*d**4 + d = 0.
-2, -1, 0
Suppose -3*c + 3*n = -9, 4*n = -5*c + 8*c - 10. Find v such that -c*v**3 + v**3 + 15*v**4 + 4*v**3 - 14*v**4 = 0.
-3, 0
Let x(p) be the first derivative of -3*p**4/28 + 15*p**3/7 - 108*p**2/7 + 324*p/7 - 340. Let x(t) = 0. Calculate t.
3, 6
Let j(y) = -y**2 - 12*y - 18. Let n be j(-10). Factor -10*f**3 + 2*f**2 + 5*f + 5*f**5 + 5 - 15*f**2 + 5*f**4 + 3*f**n.
5*(f - 1)**2*(f + 1)**3
Suppose -2/3*w**4 - 26/3*w + 14/3*w**2 + 2/3*w**3 + 4 = 0. What is w?
-3, 1, 2
Let g be (0/51)/((2*-1)/2). Let i(s) be the third derivative of g - 3/40*s**4 - 7*s**2 + 1/100*s**5 + 0*s**3 + 0*s. Factor i(y).
3*y*(y - 3)/5
Suppose 5*m - 38 - 45 = -3*a, 2*a = -3*m + 50. Let q be m/2 + -5 + 5. Suppose -q*z + 8/3*z**3 + 4/3*z**2 - 2/3*z**4 - 6 = 0. What is z?
-1, 3
Suppose -1 = -4*g + 7. Let w = 119 + -117. Determine o, given that o + w*o**4 - 2*o**3 + o + o**2 - 4*o**g + o**2 = 0.
-1, 0, 1
Let -5 - 5/3*a**2 - 20/3*a = 0. What is a?
-3, -1
Let u be (-4)/6*(-10 - 119/(-14)). Let r(z) be the first derivative of 1/10*z**5 - 1/12*z**6 + 0*z - u - 1/6*z**3 + 1/8*z**4 + 0*z**2. Solve r(l) = 0 for l.
-1, 0, 1
Suppose 1/5*z**3 - 8/5*z**2 + 13/5*z - 6/5 = 0. Calculate z.
1, 6
Factor 0 + 2/3*o**2 + 0*o + 1/3*o**3.
o**2*(o + 2)/3
Let r(z) = 3*z**3 - 159*z**2 - 2190*z - 2034. Let m(p) = -7*p**3 + 318*p**2 + 4381*p + 4069. Let v(b) = -6*m(b) - 13*r(b). Factor v(x).
3*(x + 1)*(x + 26)**2
Let k(i) be the first derivative of 14*i**3/45 + 122*i**2/5 + 208*i/15 + 403. Find o such that k(o) = 0.
-52, -2/7
Let x(c) be the first derivative of -35*c**4/24 - c**3/18 + 13*c**2/6 - 4*c/3 + 207. Factor x(n).
-(n + 1)*(5*n - 2)*(7*n - 4)/6
Let t(v) be the first derivative of 0*v + 0*v**3 - 2/45*v**5 + 0*v**2 - 1/27*v**6 + 0*v**4 + 21. Determine s, given that t(s) = 0.
-1, 0
Let l be ((-18)/48)/(24/(-16)). Determine b so that 0 - 3/4*b**2 - l*b**3 + 0*b = 0.
-3, 0
Find i, given that -270*i**2 + 540*i**2 - 10*i - 272*i**2 + 168 = 0.
-12, 7
Let u(m) be the third derivative of -m**9/37800 + m**8/5600 - m**6/450 + 7*m**4/24 + 8*m**2. Let o(f) be the second derivative of u(f). Factor o(c).
-2*c*(c - 2)**2*(c + 1)/5
Factor -145*a + 120*a + 50*a**2 + 19*a**3 + 57*a + a**4.
a*(a + 1)*(a + 2)*(a + 16)
Let f(k) = k - 2. Let t(x) = 3*x**2 + 129*x + 153. Let d(v) = 9*f(v) + t(v). Factor d(y).
3*(y + 1)*(y + 45)
Let s(t) be the first derivative of 0*t**4 - 1/25*t**5 + 0*t**2 + 1/15*t**3 + 0*t + 9. Factor s(r).
-r**2*(r - 1)*(r + 1)/5
Let l(c) be the second derivative of 9/20*c**5 - 11/4*c**4 + 7*c + 9/2*c**2 + 0 + 5/2*c**3. Suppose l(f) = 0. What is f?
-1/3, 1, 3
Let h(i) = i**3 - 11*i**2 + 26*i - 8. Let s be h(8). Let g be s/14 - (-52)/(-140). Factor -z + 4/5*z**2 - g*z**3 + 2/5.
-(z - 2)*(z - 1)**2/5
Suppose 4*u - 14 + 2 = 0. Factor -112 - d**2 + 48*d - 32 - u*d**2.
-4*(d - 6)**2
Let j = 3704 + -3700. Factor 5/3*w**j + 0*w**2 + 0 + 5/3*w**3 + 0*w.
5*w**3*(w + 1)/3
Let t(d) = 17*d**4 + 20*d**3 + 4*d**2 - 20*d - 7. Let k(y) = -9*y**4 - 10*y**3 - 3*y**2 + 10*y + 4. Let p(s) = 7*k(s) + 4*t(s). Determine c so that p(c) = 0.
-2, -1, 0, 1
Let s(m) = -4*m**2 + 4*m - 2. Let n(h) = h**3 + 19*h**2 - 20*h + 11. Let o be 4/(0 - 6/(-3)). Let g(z) = o*n(z) + 11*s(z). Factor g(j).
2*j*(j - 2)*(j - 1)
Let d be (-35)/14 - (-1 - 3). Let r be (-2)/(-16)*-10*(-4)/10. Let -d*y**2 + 0 + r*y + y**3 = 0. What is y?
0, 1/2, 1
Suppose 65 = 4*i - 5*d, 4*d - 13 = -33. Let h(z) be the second derivative of 3/4*z**4 + 2*z**3 + i*z + 0 + 3/2*z**2. Factor h(n).
3*(n + 1)*(3*n + 1)
Let n(q) be the second derivative of -1/120*q**6 + 1/48*q**4 + 1/80*q**5 + 0*q**2 + 0 + 30*q + 0*q**3 - 1/168*q**7. Solve n(w) = 0 for w.
-1, 0, 1
Factor 1783*g + 20*g**2 - 1783*g + 25*g**3 + 5*g**4.
5*g**2*(g + 1)*(g + 4)
Let a(b) be the third derivative of -b**6/240 + b**5/24 - 7*b**4/48 + b**3/4 - 25*b**2 + 2. Factor a(p).
-(p - 3)*(p - 1)**2/2
Let a(k) = 3*k**2 - 6*k - 4. Suppose w - 5*w - u = -15, 0 = 3*u + 3. Let l be a(w). Let 0*b**4 - 12*b**4 + 8*b**2 + l*b**3 - 16*b**2 = 0. What is b?
0, 2/3, 1
Let a(g) = -2*g**2 - 46*g - 42. Let v be a(-22). Determine t so that -3/4 - 1/2*t + 1/4*t**v = 0.
-1, 3
Let a(d) be the third derivative of -d**6/60 - 17*d**5/90 + d**4/6 - 214*d**2 - 2. Solve a(z) = 0.
-6, 0, 1/3
Let j(p) be the third derivative of p**7/315 + p**6/30 - 3*p**5/10 - 3*p**4 + 36*p**3 - 85*p**2. Factor j(r).
2*(r - 3)**2*(r + 6)**2/3
Let j(w) be the third derivative of -w**7/210 - 23*w**6/120 + 49*w**5/60 - 25*w**4/24 - 173*w**2 - 1. Suppose j(g) = 0. Calculate g.
-25, 0, 1
Let h(w) be the second derivative of 12*w - 1/18*w**4 - 1/18*w**3 + 1/3*w**2 + 0 + 1/60*w**5. Factor h(p).
(p - 2)*(p - 1)*(p + 1)/3
Let g be (-21)/(-28) - 2*24/(-64). Factor -g*r**2 - 1/2*r**3 - r + 0.
-r*(r + 1)*(r + 2)/2
Suppose 2*g = g. Suppose -5*a + 3*a + 8 = g. What is t in 2/9*t + 0 + 2/3*t**2 - 2/9*t**3 - 2/3*t**a = 0?
-1, -1/3, 0, 1
Suppose 4*f = 5 + 11. Let b = -1740 + 1740. Find z, given that -2*z**5 + 0*z + b + 4/7*z**2 - 4/7*z**f + 2*z**3 = 0.
-1, -2/7, 0, 1
Let m(c) = 0*c**5 + c + 4*c**5 - 6*c**3 - 4*c**4 - 3*c**5. Let y(i) = -i**4 - i**3. Let v(q) = -m(q) + 4*y(q). Determine o so that v(o) = 0.
-1, 0, 1
Suppose 0 = -2*c + v + 8, 10*c - c + v = 25. Solve 27/2*x**c + 1701/2*x**4 - 181*x**2 - 729*x**5 + 50*x - 4 = 0.
-1/2, 2/9, 1
Let c = 211538/14695 + 14/2939. Factor -432/5 - c*z - 3/5*z**2.
-3*(z + 12)**2/5
Let k(n) = -147*n**2 - 6615*n - 907485. Let z(o) = 39*o**2 + 1654*o + 226871. Let s(i) = 4*k(i) + 15*z(i). Factor s(p).
-3*(p + 275)**2
Let r(b) be the first derivative of b**6/12 + 4*b**5/5 - 3*b**4/2 - 11*b**3/3 + 43*b**2/4 - 9*b - 296. Factor r