**2 - 58*a**3 - 26*a**3 - 3233795*a + 3233795*a - 4*a**4 - 30*a**2.
-4*a**2*(a + 2)*(a + 19)
Let g be (-14 + 3)*2578/(-14179). Factor 48/7 - 8*x - 2/7*x**3 + 20/7*x**g.
-2*(x - 6)*(x - 2)**2/7
Suppose -7*m = 703 - 248. Let r be (m/(-19) - (-2 + 6)) + 1. Let -2/19*q - 6/19*q**3 + r*q**2 + 0 = 0. Calculate q.
0, 1/3, 1
Let z(b) be the first derivative of 2*b**3/3 - 2*b**2 + 226. Let p(u) = 2*u**2 - 4*u**2 - u + 3*u**2. Let q(c) = -6*p(c) + 2*z(c). Solve q(w) = 0.
-1, 0
Let b(k) be the first derivative of k**6/15 + k**5 + 4*k**4 + 22*k**3/3 + 7*k**2 - 130*k - 179. Let m(t) be the first derivative of b(t). Factor m(x).
2*(x + 1)**3*(x + 7)
Let a(s) = -s**3 - 22*s**2 + 72*s - 54. Let g be a(-25). Let v be ((-14)/g)/((96/9)/(-8)). Solve 0 + v*d**2 + d**3 + 0*d + 1/2*d**4 = 0.
-1, 0
Factor -1 + 1 - 55*w**3 + 35*w**2 - 40*w - 21100*w**5 + 55*w**2 + 21105*w**5.
5*w*(w - 2)*(w - 1)**2*(w + 4)
Suppose -11*p + 168*p - 537 + 66 = 0. Factor 0*n**4 + 0*n**2 + 1/7*n**5 - 2/7*n**p + 0 + 1/7*n.
n*(n - 1)**2*(n + 1)**2/7
Let u = 359249/4 - 89812. Factor 0 - u*q**4 + 3/2*q + 3/2*q**3 - 11/4*q**2.
-q*(q - 3)*(q - 2)*(q - 1)/4
Let d(f) be the first derivative of f**3/5 + 81*f**2/10 - 96*f + 1111. Factor d(x).
3*(x - 5)*(x + 32)/5
Let g(s) = -s**2 + 2*s + 1. Let v(o) be the second derivative of -o**4/2 + 5*o**3/2 + 7*o**2/2 - 32*o. Let d(b) = 35*g(b) - 5*v(b). Factor d(k).
-5*k*(k + 1)
Let k be (-44)/(-12) + -5 - (-336)/9. Factor -34*n**3 - 3*n + k*n**3 - 14*n**4 + n + 14*n**2.
-2*n*(n - 1)*(n + 1)*(7*n - 1)
Let i(x) be the first derivative of 14 - 1/9*x**3 - 1/9*x**2 + 0*x + 1/45*x**5 + 0*x**4. Factor i(g).
g*(g - 2)*(g + 1)**2/9
Let y(x) be the first derivative of -x**4/2 + 934*x**3/3 - 54755*x**2 + 108578*x - 4740. Factor y(c).
-2*(c - 233)**2*(c - 1)
Suppose -3 = s - 4. Let v be (-2*s - 312/(-13))/2. Find r such that -17*r**2 - 30*r**2 - r**4 + v*r**3 + 4*r**2 + 25*r + 8*r**2 = 0.
0, 1, 5
Let n(m) be the first derivative of 24/5*m - 2/5*m**2 - 139 - 8/15*m**3. Solve n(i) = 0.
-2, 3/2
Let r(y) be the second derivative of -8/9*y**2 + 1/270*y**6 + 0 + 0*y**4 - 8/27*y**3 + 1/45*y**5 + 34*y. Solve r(z) = 0 for z.
-2, 2
Let d = 7029 + -7025. Let g(h) be the second derivative of -1/4*h**d - 54*h**2 - 6*h**3 + 0 + 8*h. Factor g(l).
-3*(l + 6)**2
Let g(x) = 2*x**2 - 206*x + 755. Let o(w) = w**2 - 50*w. Let f(q) = 5*g(q) - 5*o(q). Factor f(m).
5*(m - 151)*(m - 5)
Suppose 2*n - 4*f - 4 = 0, 3*n + f = 3*f + 6. Suppose -n = -r + 3. Factor 3*q**4 - r*q**4 + 148*q**3 - 140*q**3.
-2*q**3*(q - 4)
Let l = -122815 + 122817. What is d in 2*d**l - 25/2*d**4 + 9/2*d**5 + 6*d**3 + 0*d + 0 = 0?
-2/9, 0, 1, 2
Let t(v) = 3*v + 13. Let n be t(-3). Suppose 888 = n*d - 1312. Factor -d*m**3 + 556*m**3 - m**5 - 2*m**5 - 3*m.
-3*m*(m - 1)**2*(m + 1)**2
Let u be 96/(-5 - -8) - 5. Factor -226 - u*g**2 + 80 + 114*g + 122.
-3*(g - 4)*(9*g - 2)
Let v(w) be the first derivative of 5*w**6/6 - 32*w**5 - 175*w**4/4 + 110*w**3 - 844. Determine i, given that v(i) = 0.
-2, 0, 1, 33
Suppose -3/2*l**5 - 15*l**3 + 33/2*l - 15/2 - 3*l**2 + 21/2*l**4 = 0. What is l?
-1, 1, 5
Let t = -13/12 - -29/12. Let v be -173 + 143 + 91/3. Solve -4/3*u**2 + 0 + v*u**5 + 1/3*u**4 + 0*u - t*u**3 = 0 for u.
-2, -1, 0, 2
Let s(t) be the third derivative of -t**6/420 - 4*t**5/21 + 43*t**4/21 - 176*t**3/21 + 1361*t**2. Factor s(c).
-2*(c - 2)**2*(c + 44)/7
Let j(f) be the first derivative of -1587/2*f + 23/2*f**2 - 1/18*f**3 + 55. Factor j(q).
-(q - 69)**2/6
Let a be (-5 + (-51)/(-6) - 5)*-2. Factor -r - 227 + 5*r**2 + a*r + 2*r**3 + 227.
r*(r + 2)*(2*r + 1)
Let r(a) be the third derivative of -7/240*a**5 - 1/16*a**4 + 0*a + 1/560*a**7 + 0 + 1/6*a**3 + 11/960*a**6 - 1/1344*a**8 + 151*a**2. Let r(t) = 0. Calculate t.
-2, -1, 1/2, 2
Let y = 176 - 173. Let o(p) be the first derivative of 0*p**2 - 2/63*p**y + 15 + 0*p + 1/42*p**4. Factor o(g).
2*g**2*(g - 1)/21
Suppose -1000/3*y - 125000/3 - 2/3*y**2 = 0. Calculate y.
-250
Let g(c) be the second derivative of -c**6/10 - 159*c**5/10 - 103*c**4 - 204*c**3 + 146*c. What is m in g(m) = 0?
-102, -2, 0
Let 170*i**3 + 176*i**3 + 168*i**3 - 552*i - 104*i**2 - 516*i**3 = 0. What is i?
-46, -6, 0
Let n(t) = -t**3 + t**2 + t - 4. Let o(c) = 4*c**3 - 268*c**2 - 7576*c - 73139. Let j(q) = -7*n(q) - o(q). Solve j(i) = 0.
-29
Let a be (14/4 - 1)*2. Suppose -a*l + 2*f + 7 + 15 = 0, -5*l = 2*f - 38. Factor l*d**2 + 3*d**5 - 3*d**2 + 97*d**4 - 3*d**3 - 100*d**4.
3*d**2*(d - 1)**2*(d + 1)
Let z(c) be the third derivative of -2/7*c**3 - 188*c**2 - 1/420*c**6 + 0*c + 1/12*c**4 + 0*c**5 + 0. What is q in z(q) = 0?
-3, 1, 2
Let q(x) be the third derivative of x**6/30 + x**5/5 - 47*x**4/2 - 286*x**3/3 + 152*x**2 - 2. Find f such that q(f) = 0.
-13, -1, 11
Let b(t) be the first derivative of -4*t**2 + 213 - 40/3*t - 2/9*t**3. Factor b(c).
-2*(c + 2)*(c + 10)/3
Let q(d) be the third derivative of -d**8/168 + d**6/20 + d**5/15 + 12*d**2 - 21*d. Factor q(i).
-2*i**2*(i - 2)*(i + 1)**2
Factor -280*i**2 - 174*i**3 + 164*i - 28*i**2 + 2*i**4 + 37*i**3 + 119*i**3 - 452*i.
2*i*(i - 18)*(i + 1)*(i + 8)
Let w(z) = 28*z**2 + 294*z + 478. Let r be w(-2). Factor -3/2*t**r + 3/2*t**4 + 27/2*t**3 - 27/2*t + 0.
3*t*(t - 1)*(t + 1)*(t + 9)/2
Let s(t) be the first derivative of t**5 + 65*t**4/4 - 150*t**3 - 10925. Let s(j) = 0. What is j?
-18, 0, 5
Factor -3/2*i**2 + 0 + 2*i + 1/4*i**3.
i*(i - 4)*(i - 2)/4
Let -135*v**3 + 3*v**3 - 18*v**3 + 2*v**4 + 4250*v + 294*v**2 - 4396*v = 0. What is v?
0, 1, 73
Let o(h) be the second derivative of -h**7/49 - 11*h**6/210 + 5*h**5/14 - 2*h**4/21 + 2122*h. Suppose o(f) = 0. What is f?
-4, 0, 1/6, 2
Let u(m) be the first derivative of -2*m**5/5 - 79*m**4/2 + 2506*m**3/3 - 4557*m**2 - 5360. Factor u(y).
-2*y*(y - 7)**2*(y + 93)
Let l = -172772 + 172775. Factor -11/4*m + 3/2 + 1/4*m**l + m**2.
(m - 1)**2*(m + 6)/4
Let s = 5356 - 482039/90. Let d(g) be the third derivative of 0 - 1/18*g**3 - 19*g**2 + 0*g - 1/30*g**5 - 1/630*g**7 + s*g**6 + 1/18*g**4. Factor d(y).
-(y - 1)**4/3
Factor 5162*q + 1023*q**3 + 4453*q**3 + 27840*q**2 - 584*q + 8184*q**3 + 196 - 860*q**3.
2*(q + 2)*(80*q + 7)**2
Let a be (30153/(-228))/(-23) - (2 - -2). Solve -a*w**2 + 3/8*w**3 + 17/8*w - 3/4 = 0 for w.
2/3, 1, 3
Let f(h) = -2*h**3 - 84*h**2 - 64*h - 2685. Let i be f(-42). Find o, given that o**2 - 3*o - 1/4*o**4 + 3/4*o**i + 0 = 0.
-2, 0, 2, 3
Suppose -6*g = -43*g - 10*g. Let c(d) be the third derivative of 0 + 1/30*d**6 + 2/3*d**3 - 1/15*d**5 + 24*d**2 - 1/6*d**4 + g*d. Factor c(v).
4*(v - 1)**2*(v + 1)
Let k(j) be the second derivative of 1/4*j**5 - 25*j**2 + 0 - 10/3*j**4 + 85/6*j**3 - 5*j. Find q, given that k(q) = 0.
1, 2, 5
Let w(j) be the third derivative of -j**6/30 - 136*j**5/15 + 137*j**4/6 - 229*j**2. Factor w(c).
-4*c*(c - 1)*(c + 137)
Suppose -14*u = -11*u. Let l = -2720 + 2722. Factor u + 0*r**3 + 0*r**l - 3/7*r**5 + 3/7*r**4 + 0*r.
-3*r**4*(r - 1)/7
Factor -2/7*z**2 + 24/7 + 2/7*z.
-2*(z - 4)*(z + 3)/7
Let 31 + 918*j - 278 - 434*j**2 - 744 - 837 + 432*j**2 = 0. Calculate j.
2, 457
Suppose v + 7 = 3*s, s + 3*v = v + 7. Factor 64 - 3*m**s - 569*m**4 - 60*m**2 + 35*m**3 - 32*m + 565*m**4.
-4*(m - 4)**2*(m - 1)*(m + 1)
Factor -672/5 - 4*x + 2/5*x**2.
2*(x - 24)*(x + 14)/5
Let k be (-2 - (-2 + (-3)/2))*2. Suppose -4*l = -k - 5. Factor 3*c**2 - 2*c + 3*c**3 - 7*c**2 + 7*c**2 + l*c**2.
c*(c + 2)*(3*c - 1)
Solve 12/7 - 15264/7*d**4 - 5184/7*d**5 + 15252/7*d**2 + 6044/7*d**3 - 860/7*d = 0.
-3, -1, 1/36, 1
Determine s so that -4911 + 4*s**2 + 64*s + 1642 + 1526 + 1515 = 0.
-19, 3
Let b be (-2)/(2 + (-6 - 34/(-9))). Suppose -2*r + 9 = b. Factor -7/4*m**2 + 0*m + r - 1/4*m**3.
-m**2*(m + 7)/4
Suppose 0 = -c + 5*s + 23 - 90, -4*c + s = 173. Let q be 16 - (-3718)/(-231) - 4/c. Solve q + 1/5*a**2 - 1/5*a = 0.
0, 1
Let h(b) = 5*b**3 + 20*b**2 - 9*b - 84. Let a(m) = -1 + 6*m + 12*m + 6*m - 25*m. Let u(c) = 6*a(c) + h(c). Factor u(n).
5*(n - 2)*(n + 3)**2
Factor -2/9*j**4 + 34/9*j**3 + 0 + 0*j - 20/3*j**2.
-2*j**2*(j - 15)*(j - 2)/9
What is m in -2939/5*m**3 - 14792/5 - 110596/5*m + 17/5*m**4 + 25662*m**2 = 0?
-2/17, 1, 86
Let s(y) = -6*y**4 + 880*y**3 + 2702*y**2 + 2753*y + 911. Let x(j) = 3*j**4 - 441*j**3 - 1353*j**2 - 1377*j - 456. Let c(v) = -6*s(v) - 13*x(v). Factor c(n).
-3*(n - 154)*(n + 1)**3
Determine c