*x**2*(x - 1)**2*(x + 1)
Let x(f) be the third derivative of -f**8/1344 + f**7/280 + f**6/120 - f**5/15 + 2*f**3/3 + f**2 - 24. Factor x(c).
-(c - 2)**3*(c + 1)*(c + 2)/4
Let w(y) be the third derivative of 1/900*y**6 + 0 + 0*y - 1/300*y**5 - 2/3*y**3 + 7*y**2 + 0*y**4. Let b(p) be the first derivative of w(p). Factor b(o).
2*o*(o - 1)/5
Let z(k) be the second derivative of -k**7/560 + 3*k**6/320 + 2*k**2 + 21*k. Let r(n) be the first derivative of z(n). Factor r(h).
-3*h**3*(h - 3)/8
Let 0 - 3*t + 9/4*t**2 + 3/4*t**3 = 0. Calculate t.
-4, 0, 1
Let l(t) be the second derivative of t**5/5 - 4*t**4/3 + 8*t**3/3 + 127*t. Factor l(u).
4*u*(u - 2)**2
Factor 36/5*y**2 + 8*y + 2/5*y**4 + 14/5*y**3 + 16/5.
2*(y + 1)*(y + 2)**3/5
Let h(i) be the first derivative of 4*i**5/5 - 3*i**4 + 8*i**3/3 - 256. Suppose h(m) = 0. Calculate m.
0, 1, 2
Suppose 12*i - 9643 + 9595 = 0. Let w(a) be the second derivative of 7*a + 0 - 7/18*a**i + 5/9*a**3 + 2/3*a**2. Factor w(t).
-2*(t - 1)*(7*t + 2)/3
Factor 3/5*w**3 - 1/5*w**4 + 36/5 - 51/5*w + 13/5*w**2.
-(w - 3)**2*(w - 1)*(w + 4)/5
What is a in 12*a**2 - 2*a**2 - 176 - 275*a + 71 - 35 = 0?
-1/2, 28
Factor 18/7*d**3 + 26/7*d**2 + 2/7*d**4 - 100/7 - 90/7*d.
2*(d - 2)*(d + 1)*(d + 5)**2/7
Solve 0*v**2 + 0*v - 2/7*v**5 + 0 - 4/7*v**3 - 6/7*v**4 = 0.
-2, -1, 0
Let t(z) be the first derivative of -2*z**5 + 14*z**4 - 56*z**3/3 - 16*z**2 + 100. Let t(s) = 0. Calculate s.
-2/5, 0, 2, 4
Determine c, given that 0 + 72/19*c - 2/19*c**2 = 0.
0, 36
Let o = 289/141 + -65/47. Factor o - 5/3*u**2 + u.
-(u - 1)*(5*u + 2)/3
Let o be (-26)/(-10) - 2/(-5). Suppose o*n - 3*c = 9, -n = 5*c - 3 - 0. Factor 2*w**3 + 0*w**3 + 2*w**4 - 3 + 1 - 4*w + 2*w**n.
2*(w - 1)*(w + 1)**3
Let a(o) be the second derivative of -o**7/49 - 4*o**6/21 - 41*o**5/105 - 2*o**4/7 - 5*o**3/63 - 94*o. Suppose a(h) = 0. Calculate h.
-5, -1, -1/3, 0
Determine c so that -893*c + 112*c**2 + 4*c**4 + 2 + 40*c**3 + 989*c - 2 = 0.
-6, -2, 0
Let z be 7*(-10)/175 - (-4)/10. Let k(l) be the third derivative of -2*l**2 + 0 + z*l**4 - 1/120*l**5 + 0*l + 1/3*l**3. Factor k(v).
-(v - 2)*(v + 2)/2
Suppose -2*o = 3*y - 21, -4*o + 3 + 12 = 3*y. Factor -2*d**4 + 5*d**4 + 15*d + 18*d**3 + y*d + 36*d**2.
3*d*(d + 2)**3
Find h such that 3 - 9/2*h + 3/2*h**2 = 0.
1, 2
Let a = 24 + -14. Let p(d) = d**3 - 9*d**2 - 11*d + 13. Let i be p(a). Factor -i*l**4 + 5*l**3 - 3*l**2 - 14*l**3 + 3*l**3.
-3*l**2*(l + 1)**2
Let b(w) be the first derivative of 0*w + 8/5*w**5 + 0*w**3 + 0*w**2 - w**4 + 1 - 2/3*w**6. Factor b(x).
-4*x**3*(x - 1)**2
Let 12/7*j**5 - 58/7*j**4 - 6/7 + 108/7*j**3 - 96/7*j**2 + 40/7*j = 0. What is j?
1/3, 1, 3/2
Suppose 319*m - 313*m + 2 - 125*m**2 + 123*m**2 - 6*m**3 = 0. Calculate m.
-1, -1/3, 1
Let n(c) be the second derivative of c**6/6 - 3*c**5 + 35*c**4/4 - 25*c**3/3 + 27*c + 3. Solve n(m) = 0 for m.
0, 1, 10
Let j(q) be the third derivative of q**6/420 - 4*q**5/35 + 39*q**4/28 - 54*q**3/7 - 17*q**2 - 20. Suppose j(r) = 0. Calculate r.
3, 18
Let q(i) be the first derivative of 20 + 1/6*i**3 + 1/8*i**2 - 1/20*i**5 - 1/8*i**4 + 1/24*i**6 - 1/4*i. Factor q(x).
(x - 1)**3*(x + 1)**2/4
Let s(q) be the first derivative of -q**6/3 - 6*q**5/5 - 3*q**4/2 - 2*q**3/3 - 46. Factor s(v).
-2*v**2*(v + 1)**3
Let v(y) be the second derivative of y**5/20 - 13*y**4/6 - y**3/6 + 13*y**2 + 65*y. Factor v(u).
(u - 26)*(u - 1)*(u + 1)
Let h(r) be the first derivative of -27 + 4*r**3 + 16*r + 12*r**2 + 1/2*r**4. Factor h(t).
2*(t + 2)**3
Let b(u) be the second derivative of -u**6/810 + u**4/54 - 7*u**3/6 + 11*u. Let s(z) be the second derivative of b(z). Factor s(f).
-4*(f - 1)*(f + 1)/9
Let a(k) = -2*k**2 + 12*k + 2. Let j be a(6). Let 0*t + 2*t + 2*t**2 - 2*t - j = 0. What is t?
-1, 1
Let w(r) be the second derivative of r**4/28 - 72*r**3/7 + 7776*r**2/7 + 43*r + 2. Solve w(c) = 0.
72
Let o(s) be the third derivative of s**6/1140 - s**4/57 + 3*s**2 + s. Let o(n) = 0. Calculate n.
-2, 0, 2
Let a(u) = -14*u**2 + 8*u - 6. Let c(m) = m - 1. Let z(j) = 2*a(j) - 12*c(j). Factor z(v).
-4*v*(7*v - 1)
Let m(r) be the first derivative of -3/5*r**5 + 0*r**4 + r**3 - 24 + 0*r**2 + 0*r. Factor m(t).
-3*t**2*(t - 1)*(t + 1)
Let p(s) be the first derivative of 0*s**2 + 0*s - 12 - 2/21*s**3 + 1/14*s**4. Find l such that p(l) = 0.
0, 1
Let 900/7*r**2 - 250/7*r**3 - 1080/7*r + 432/7 = 0. What is r?
6/5
Let l(y) be the third derivative of -y**6/360 + y**5/90 + y**4/18 - 4*y**3/9 + 97*y**2. Factor l(k).
-(k - 2)**2*(k + 2)/3
Let j(k) be the third derivative of -k**8/1848 + 2*k**7/385 + k**6/44 + 4*k**5/165 + 7*k**2 - 23*k. Factor j(f).
-2*f**2*(f - 8)*(f + 1)**2/11
Let x(a) = 3*a - 6. Let l be x(4). Suppose 2 + 2*s**3 + l*s**2 + 8*s + 6*s**2 + 2*s**4 + 6*s**3 = 0. Calculate s.
-1
Let r = 30 + -26. Let s(f) be the first derivative of -92/3*f**3 + 3*f**r - 8*f + 36/5*f**5 + 6 + 26*f**2. Factor s(i).
4*(i - 1)*(i + 2)*(3*i - 1)**2
Let y = -2 - -4. Suppose -440*z**4 + 1328*z**3 - 87 + 800*z + 50*z**5 - 602*z**y - 41 - 1062*z**2 = 0. What is z?
2/5, 2, 4
Solve 2/9*q**3 - 8/9*q - 2/3*q**2 + 0 = 0 for q.
-1, 0, 4
Suppose -10/3*c**3 + 2*c**4 + 4 - 34/3*c**2 + 26/3*c = 0. What is c?
-2, -1/3, 1, 3
Let s = -8/43 + 174/473. Let c(p) be the second derivative of s*p**2 + 1/110*p**5 - 1/33*p**4 - 1/33*p**3 + 12*p + 0. Determine q so that c(q) = 0.
-1, 1, 2
Let m(c) be the third derivative of -1/15*c**5 + 0 + 1/2*c**4 + 8/3*c**3 + 9*c**2 + 0*c. Factor m(a).
-4*(a - 4)*(a + 1)
Solve 15/11*q**4 + 1/11*q**5 + 164/11*q**2 + 74/11*q**3 + 168/11*q + 64/11 = 0 for q.
-8, -2, -1
Factor -59/3*o + 3481/6 + 1/6*o**2.
(o - 59)**2/6
Let v(o) be the first derivative of -o**7/840 + o**6/120 - o**5/40 + o**4/24 - 10*o**3/3 + 9. Let t(z) be the third derivative of v(z). Factor t(w).
-(w - 1)**3
Let y be ((-2)/2 - -15)/(30/15). Suppose 3 = y*j - 6*j. Find o such that -2/9*o**j - 2/9*o**4 + 0*o**2 + 0*o + 0 = 0.
-1, 0
Let k be -1*(3 + 0 - 5). Let t(h) be the first derivative of -2*h**3 + 3/4*h**4 + 5 + 3/2*h**k + 0*h. Factor t(u).
3*u*(u - 1)**2
Suppose -18*w + 13 = -23. Suppose -10/11*m**4 + 6/11*m**3 + 0 - 8/11*m**5 + 2/11*m + 10/11*m**w = 0. What is m?
-1, -1/4, 0, 1
Let g(v) be the third derivative of 0*v + 2/3*v**4 - 1/5*v**5 + 0 + 8/3*v**3 + 5*v**2 - 2/105*v**7 - 2/15*v**6. What is s in g(s) = 0?
-2, -1, 1
What is r in -1/2*r - 1/4*r**2 + 0 = 0?
-2, 0
Let q(x) = 3*x**2 - 21*x - 6. Let f be (-2 - -2) + 15/3. Let l(b) = 2*b**2 - 20*b - 7. Let o(z) = f*q(z) - 6*l(z). Factor o(p).
3*(p + 1)*(p + 4)
Let g(q) be the second derivative of -q**4/48 - 5*q**3/4 - 225*q**2/8 + 9*q - 17. Solve g(c) = 0 for c.
-15
Let j(b) be the third derivative of 3*b**8/112 - b**7/7 + 7*b**6/40 + b**5/5 - b**4/2 - 28*b**2. Solve j(k) = 0.
-2/3, 0, 1, 2
Let t be ((-35)/(-170))/((-21)/(-12)). Factor -2/17*v - t*v**2 + 2/17 + 2/17*v**3.
2*(v - 1)**2*(v + 1)/17
Let w(v) = v**3 + v**2. Let m(y) = -3*y**4 + 9*y**3 + 2*y**2. Let j be (-2)/7 + 4 + (-270)/35. Let h(p) = j*w(p) + m(p). Factor h(x).
-x**2*(x - 1)*(3*x - 2)
Suppose 2*r - 1022 + 290 = -2*y, y + 732 = 2*r. Let b = r - 2552/7. Determine i, given that -b*i**4 + 2/7*i**2 + 8/7 + 24/7*i - 24/7*i**3 = 0.
-2, -1, -2/5, 1
Let a(m) be the first derivative of -1/14*m**4 + 1 + 4/7*m - 4/21*m**3 + 1/7*m**2. Suppose a(o) = 0. Calculate o.
-2, -1, 1
Let h(a) be the second derivative of -a**5/40 - 7*a**4/24 + 11*a**3/3 - 451*a. Suppose h(f) = 0. Calculate f.
-11, 0, 4
Suppose 0 = -5*z + 14 + 6. Factor 2*p**5 - p**5 + 5*p**2 + 4*p**2 + 5*p**3 - 7*p**2 + 4*p**z.
p**2*(p + 1)**2*(p + 2)
Let u(p) be the first derivative of -p**6/21 + 6*p**5/7 - 29*p**4/7 - 12*p**3/7 + 29*p**2 + 42*p + 152. Determine m so that u(m) = 0.
-1, 3, 7
Let y(r) be the second derivative of r**6/90 + r**5/10 + 2*r**4/9 + 321*r. Solve y(n) = 0 for n.
-4, -2, 0
Let n be ((-5)/(-550))/(1*(-4)/(-16)). Let a(p) be the first derivative of n*p**5 - 2/11*p**3 + 0*p - 7 - 2/11*p**2 + 0*p**4. Determine b so that a(b) = 0.
-1, 0, 2
Let 43/2*p**4 + 0 + 18*p + 85/2*p**3 + 2*p**5 - 84*p**2 = 0. Calculate p.
-6, 0, 1/4, 1
Solve 4563/7 + 3/7*v**2 + 234/7*v = 0 for v.
-39
Suppose -26*w + 256 = -10*w. Let z be (-2 + 1)/((-1)/3). Let 12*p + 8*p + 19*p + w*p**3 - 6 - 60*p**2 + 11*p**z = 0. Calculate p.
2/9, 1
Let n = -29305 - -205139/7. Let -2/7*d**5 + 10/7*d**2 + 6/7*d**