**3*(o - 1)*(o + 2)
Let d(s) be the third derivative of s**5/390 + s**4/39 + s**3/13 + 43*s**2. Determine q so that d(q) = 0.
-3, -1
Let w(r) = -2211*r**2 - 2103*r - 506. Let m(h) = -4420*h**2 - 4205*h - 1010. Let l(z) = -3*m(z) + 5*w(z). Determine v, given that l(v) = 0.
-10/21
Let t(q) be the first derivative of -3/5*q**5 + 3*q**3 + 3/2*q**4 - 12*q**2 - 23 + 12*q. Factor t(o).
-3*(o - 2)*(o - 1)**2*(o + 2)
Let -188/13*p - 190/13 + 2/13*p**2 = 0. Calculate p.
-1, 95
Let j(n) be the first derivative of -16/7*n**2 + 16/7*n - 10 - 1/7*n**4 + 20/21*n**3. Factor j(q).
-4*(q - 2)**2*(q - 1)/7
Let k be (7/70)/((-4)/(-10)). Let v(y) be the first derivative of 2 + k*y + 1/12*y**3 - 1/4*y**2. Let v(l) = 0. What is l?
1
Let z(f) be the second derivative of 5*f + 1/12*f**4 + 1/2*f**2 + 1/3*f**3 + 0. Factor z(s).
(s + 1)**2
Let u be (14/(-49))/(((-7)/2)/7). Factor -u*g**2 - 16/7*g + 20/7.
-4*(g - 1)*(g + 5)/7
Solve 94*v**4 - 18*v**3 - 178*v**4 - 8*v**2 - 2*v**5 + 72*v**4 = 0.
-4, -1, 0
Let n(m) = -m**3 + 3*m**2 + 6*m - 4. Let f be n(4). Let x be (4 + -3)*f/2. Factor -3 + 2*b**x - 4*b - 3*b**4 + 1 + 4*b**3 + 3.
-(b - 1)**2*(b + 1)*(3*b - 1)
Let h(k) be the second derivative of -k**7/504 - k**6/36 - k**5/6 + k**4/6 + 9*k. Let x(g) be the third derivative of h(g). Factor x(v).
-5*(v + 2)**2
Let i(c) be the first derivative of -2/21*c**3 - 42 - 4/7*c**2 - 6/7*c. Factor i(z).
-2*(z + 1)*(z + 3)/7
Let p(l) be the second derivative of l**3/2 - 13*l**2/2 + 11*l. Let s be p(5). Suppose s*d**5 + d**5 + 2*d**3 - 5*d**5 = 0. Calculate d.
-1, 0, 1
Let o be -2 + 246/77 - (-2)/(-7). Let v = 79/22 + o. Let -2*c - v*c**3 + 6*c**2 + 0 = 0. What is c?
0, 2/3
Let q(s) = 2*s**4 + 16*s**3 - 52*s**2 - 62*s + 2. Let j(v) = v**4 + 18*v**3 - 52*v**2 - 63*v + 3. Let z(y) = 2*j(y) - 3*q(y). Determine l so that z(l) = 0.
-5, -1, 0, 3
Let v(b) = b**2 - 11*b - 28. Let y be v(13). Let j be -3 - ((-39)/(-24)*y + 0). Find c such that -1/4*c - j*c**2 + 1/2 = 0.
-2, 1
Factor z + 4 - 8*z**3 - 601*z**5 - 1 + 605*z**5 + 3*z + 4*z**4 - 8*z**2 + 1.
4*(z - 1)**2*(z + 1)**3
Let m be (-15 - -9) + (-8)/(-1). Let k = 109 + -73. Determine g, given that -4*g**4 - k*g**3 + 4*g**m + 36*g**3 = 0.
-1, 0, 1
Let b = -69/13 - -177/26. Factor 0 + 0*p**2 - 3/2*p + b*p**3.
3*p*(p - 1)*(p + 1)/2
Let m be 19/6 + (-44)/66. Let t = 5/6 - -2/3. Factor -t*i**2 + 0 + i - m*i**3.
-i*(i + 1)*(5*i - 2)/2
Let k = 133632/5 + -26712. Suppose 228/5*s + 128/5*s**2 + k + 4*s**3 = 0. Calculate s.
-3, -2/5
Let q(j) be the second derivative of j**6/150 - 7*j**5/50 + 5*j**4/12 - 2*j**3/5 + 160*j. Factor q(l).
l*(l - 12)*(l - 1)**2/5
Find h such that 106*h**4 + 180*h - 600*h**2 - 68*h**4 - 53*h**4 + 185*h**3 = 0.
0, 1/3, 6
Let o(l) be the second derivative of 5*l**4/12 + 190*l**3 + 32490*l**2 + 373*l. Let o(d) = 0. Calculate d.
-114
Let i be 3 + (-32)/10 - (-80 - 0). Let h = 80 - i. Suppose -h*l**3 - 3/5*l**2 + 0*l + 4/5 = 0. Calculate l.
-2, 1
Suppose 0 = 2*m + 4*a + 10, -2*a + 1 + 0 = 3*m. Suppose 0 = -4*w - z + 9 - 6, m*w + 14 = -4*z. Suppose -1 - 1/2*i**3 + 0*i**w + 3/2*i = 0. What is i?
-2, 1
Factor 564/13*l**2 + 5760/13*l + 14/13*l**3 + 1600/13.
2*(l + 20)**2*(7*l + 2)/13
Suppose 134*q - 168*q = 0. Let -2/3 + 2/3*a**2 + q*a = 0. Calculate a.
-1, 1
Let b = -7/240 + 167/240. Determine p so that p**2 + 0*p**3 + 0 - 1/3*p**4 - b*p = 0.
-2, 0, 1
Let x(n) = 3*n**4 - 42*n**3 + 284*n**2 + 495*n - 733. Let o(h) = h**4 - 15*h**3 + 95*h**2 + 165*h - 244. Let f(p) = 7*o(p) - 2*x(p). Let f(w) = 0. What is w?
-2, 1, 11
Let p(d) be the third derivative of 5*d**2 - 2*d**4 + 1/20*d**5 - 3*d + 32*d**3 + 0. Find f such that p(f) = 0.
8
Let m(f) = f**2 + 18*f + 67. Let s be m(-5). Suppose 4*n - 136 = -4. Factor p**3 - 2 + s*p**2 + n*p - 31*p - 3*p**3.
-2*(p - 1)**2*(p + 1)
Let x be 1/(-3)*(-30)/5. Suppose -l = x*l - 15. Factor -13*k**4 + 4*k**2 + l*k**5 + 4*k**3 - 14*k + 14*k.
k**2*(k - 2)*(k - 1)*(5*k + 2)
Find q such that 27*q**3 + 56*q**4 + 163*q**3 + 15*q**5 + 155*q**2 + 69*q**4 + 30*q + 45*q**3 = 0.
-6, -1, -1/3, 0
Suppose 32 = 9*a - a. Factor 8*u**4 - a*u**5 - 6*u**2 - 3*u**2 + 9*u**2.
-4*u**4*(u - 2)
Suppose 4*k = -k + j + 3, -2*k = 3*j + 9. Suppose 7*b - 2*b - 10 = k. Factor 9/4*v - 3/4*v**b - 3/2.
-3*(v - 2)*(v - 1)/4
Let g(l) be the first derivative of l**8/840 + l**7/588 - l**6/140 - l**5/84 + l**4/42 + 8*l**3/3 + 4. Let x(y) be the third derivative of g(y). Solve x(v) = 0.
-1, 2/7, 1
Let z be 5*(15/50)/(6/(-8)). Let b be ((-6)/2)/(3/z). Determine y, given that 20/7*y**b - 10/7*y - 2/7*y**5 + 10/7*y**4 + 2/7 - 20/7*y**3 = 0.
1
Let u = 1507 + -1507. Let d be -1 + 2 + 6/(-10). Find m such that d*m + 1/5*m**2 + u = 0.
-2, 0
Let h(p) be the first derivative of -p**5/80 - 6*p + 5. Let y(l) be the first derivative of h(l). Determine k so that y(k) = 0.
0
Factor 126*o - 9*o**2 - 11*o**2 - 5*o**3 - 19*o**2 + 9*o**2 - 98 + 7*o**3.
2*(o - 7)**2*(o - 1)
Let r(p) = 207*p + 1660. Let h be r(-8). Solve -2/15*x**h + 224/15*x + 26/15*x**3 - 8*x**2 - 128/15 = 0.
1, 4
Let i = 1/1585 - -1577/12680. Find l such that i*l**2 - 3/4*l + 9/8 = 0.
3
Factor 16/5 - 2*r**3 + 22/5*r - 4/5*r**2.
-2*(r + 1)**2*(5*r - 8)/5
Let p(q) = -q**3 - q**2 + 4. Let k be p(0). Let g be (k/3)/(-6 + 3 - -7). Factor 0 - 1/3*c**3 + 0*c + 1/3*c**5 + g*c**2 - 1/3*c**4.
c**2*(c - 1)**2*(c + 1)/3
Let a(g) = 22*g**4 + 15*g**3 - 36*g**2 + 14*g + 3. Let l(k) = 42*k**4 + 29*k**3 - 72*k**2 + 26*k + 5. Let s(m) = -5*a(m) + 3*l(m). Find r such that s(r) = 0.
-2, 0, 1/4, 1
Let a(i) be the second derivative of i**5/35 + 3*i**4/7 + 4*i**3/3 + 18*i. Factor a(n).
4*n*(n + 2)*(n + 7)/7
Let v = 3718/9 + -413. Let h(f) be the second derivative of -1/18*f**4 + 0 + 2/3*f**2 - 4*f + v*f**3. Factor h(i).
-2*(i - 2)*(i + 1)/3
Factor -1661*k**2 - 3*k**3 - 1690*k**2 + 3324*k**2 + 30*k.
-3*k*(k - 1)*(k + 10)
Let s = -929191/100 + 9292. Let x(j) be the second derivative of -s*j**5 + 0*j**2 + 0 + 3*j - 9/10*j**3 + 9/20*j**4 + 1/150*j**6. Determine g so that x(g) = 0.
0, 3
Suppose -5*z - r + 10 = 0, -z - 3*z - 3 = 3*r. Suppose 2*o = -4, -o - 4*o - 262 = -4*p. Suppose -5 + 4 - p*q**2 - 58*q**2 - z + 44*q = 0. Calculate q.
2/11
Let f = 21/67 + 251/268. Let k be 0 - -1 - 5/20. Factor -1/4 - k*z**2 + z**4 + f*z**3 - 5/4*z.
(z - 1)*(z + 1)**2*(4*z + 1)/4
Let m(q) be the second derivative of 0 - 1/4*q**3 - q + 1/4*q**2 + 1/8*q**4 - 1/40*q**5. Factor m(s).
-(s - 1)**3/2
Let s(t) be the third derivative of t**5/2 + 19*t**4/3 + 40*t**3/3 + 31*t**2. Let f(j) = 12*j**2 + 61*j + 32. Let k(r) = 12*f(r) - 5*s(r). Factor k(l).
-2*(l + 4)*(3*l + 2)
Let d be ((-65)/(-10) - 6) + (-5)/((-550)/(-35)). Factor 2/11 + 2/11*p - d*p**2 - 2/11*p**3.
-2*(p - 1)*(p + 1)**2/11
Let p = 3 - -1. Suppose -4 = -2*v + p. Let m(c) = 25*c**4 + 14*c**3 - 3*c**2 - 4*c. Let d(q) = -q**3 + q**2 + q. Let s(b) = v*d(b) + m(b). Factor s(k).
k**2*(5*k + 1)**2
Let j(l) be the first derivative of 0*l**3 + 28 + 0*l - 4/5*l**5 - 8*l**2 + 3*l**4. Factor j(m).
-4*m*(m - 2)**2*(m + 1)
Let i(j) be the third derivative of j**6/90 + j**5/15 - 6*j**3 - 2*j**2 + 11. Let x(l) be the first derivative of i(l). Factor x(s).
4*s*(s + 2)
Let b = 469 - 2813/6. Let v(j) be the second derivative of b*j**2 + 0*j**5 - 1/18*j**4 + 1/90*j**6 - 3*j + 0*j**3 + 0. Factor v(x).
(x - 1)**2*(x + 1)**2/3
Let n(u) = -190*u**2 - 650*u + 620. Let t(o) = -7*o**2 - 24*o + 23. Let c(h) = -2*n(h) + 55*t(h). Factor c(k).
-5*(k - 1)*(k + 5)
Let k(r) = 2. Let l(t) = -3. Let n(z) = 4*k(z) + 3*l(z). Let p(c) = 11 - 4*c + c**2 - 3 + c. Let h(m) = -6*n(m) - p(m). Solve h(s) = 0.
1, 2
Let p = 2126 + -2124. Suppose 2/11*a**p + 0 - 2/11*a = 0. Calculate a.
0, 1
Suppose -77*l = -686 + 224. Let w(s) be the first derivative of 0*s**2 - 1/4*s**4 + 1/12*s**6 + l + 0*s**3 + 0*s + 1/10*s**5. Let w(c) = 0. What is c?
-2, 0, 1
Let l(w) be the third derivative of w**7/630 + 11*w**4/24 - 6*w**2. Let a(g) be the second derivative of l(g). Factor a(p).
4*p**2
Let j be 568/(-426)*(2 + 14/(-4)). Let n(h) be the second derivative of 0 - 1/20*h**5 + 1/6*h**3 - 9*h + h**j - 1/6*h**4. Factor n(c).
-(c - 1)*(c + 1)*(c + 2)
Factor -172*x + 64*x**2 + 89 + 2*x**3 + 2*x**3 - 17 + 32*x.
4*(x - 1)**2*(x + 18)
Suppose 240*v + 96*v = 1344. Suppose -2*s**v - 2 + 1/4*s**5 + 25/4*s**3 + 7*s - 19/2*s**2 = 0. Calculate s.
1, 2
Let 