ctor m(j).
-j**2*(j + 136)/5
Let b(c) be the first derivative of 4*c**5/5 + 11*c**4 - 56*c**3 + 4143. Factor b(u).
4*u**2*(u - 3)*(u + 14)
Let s(y) = y**4 + 7*y**3 + 3*y**2 - 9*y - 4. Let d(c) = 12*c**4 + 90*c**3 + 42*c**2 - 117*c - 54. Let j(p) = 2*d(p) - 27*s(p). Factor j(h).
-3*h*(h - 1)*(h + 1)*(h + 3)
Let t(u) be the second derivative of 658503/2*u**2 + 0 + 147*u + 87/4*u**4 - 7569/2*u**3 - 1/20*u**5. Solve t(o) = 0 for o.
87
Let a(c) = -46*c + 16*c - 16 - 16 - 6*c**2 + 8*c**2. Let d be a(-1). Find v, given that -27/8*v**3 - 3/8*v + d - 9/4*v**2 - 3/2*v**4 = 0.
-1, -1/4, 0
Suppose -59/8*w + 1/8*w**2 + 135/4 = 0. Calculate w.
5, 54
Let v be 413/735 + 4/(-14) - 64/480. Let q(f) be the first derivative of -13 - 15/14*f**2 + 12/7*f + v*f**3. What is t in q(t) = 0?
1, 4
Let u(j) be the third derivative of j**6/40 + 7*j**5/10 + 21*j**4/8 - 18*j**3 + 1496*j**2. Determine h, given that u(h) = 0.
-12, -3, 1
Let v be 2211/101706 + 9557/506. Factor v*t + 2/11 + 5408/11*t**2.
2*(52*t + 1)**2/11
Let n(g) be the first derivative of 49*g**4/2 - 5418*g**3 - 9336*g**2 - 5344*g + 10153. Determine a, given that n(a) = 0.
-4/7, 167
Let h(f) be the first derivative of f**4/10 - 4*f**3/15 - 9*f**2/5 + 36*f/5 + 8611. Factor h(m).
2*(m - 3)*(m - 2)*(m + 3)/5
Let o be (-1967)/(-21)*(-2 + 5). Let i = o + -841/3. Suppose 3*l - i - l**2 - 4/3*l**3 = 0. What is l?
-2, 1/4, 1
Let p = 91/4 + -22. Let f be (-90)/(-6) + (-22 - -12) - 3. Let -9/8*b + p + 3/8*b**f = 0. What is b?
1, 2
Suppose -5*m - o - 8508 = 2368, -4*o = 4*m + 8704. Let g = -2175 - m. Factor 1/4*b**2 + g - 3/2*b.
b*(b - 6)/4
Let h(j) = -3*j**2 + 929*j + 1570. Let m(k) = -4*k**2 + 956*k + 1568. Let t(c) = 6*h(c) - 5*m(c). Factor t(v).
2*(v + 2)*(v + 395)
Let 514*n**2 + 723*n**2 - 298*n**2 - 1398*n - 9 + 533*n**3 - 65*n**3 = 0. What is n?
-3, -1/156, 1
Let b be (3*2/42)/(378/441). Let d(q) be the second derivative of 0 - q**2 + 9*q - 3/20*q**5 + 7/6*q**3 - b*q**4. Find p, given that d(p) = 0.
-2, 1/3, 1
Let y be ((-468)/208)/((-1)/(-196)). Let f be (-1 + -20)*270/y. Suppose 36/7*m**4 - 9/7*m + 51/7*m**2 - f*m**3 + 24/7*m**5 + 0 = 0. What is m?
-3, 0, 1/2
Let a be (-18 + (-2125)/(-119))*(0 - 0). Let j(p) be the first derivative of p**2 - 16 + a*p - 2/3*p**3. Let j(v) = 0. Calculate v.
0, 1
Let p(m) be the second derivative of -56/3*m**4 + 0*m**2 - 1/5*m**5 - 1568/3*m**3 - 27*m - 8. Let p(c) = 0. What is c?
-28, 0
Let g(l) be the third derivative of -l**6/90 - 2*l**5/45 + 13*l**4/18 - 20*l**3/9 - 1300*l**2. Factor g(k).
-4*(k - 2)*(k - 1)*(k + 5)/3
Let s(l) be the first derivative of 0*l + 1/6*l**4 - 8/9*l**3 - 63 + 4/3*l**2. Suppose s(w) = 0. Calculate w.
0, 2
Let d(z) be the second derivative of -1/18*z**4 + 0 - 43*z + 7/9*z**3 - 4*z**2. Factor d(a).
-2*(a - 4)*(a - 3)/3
Let l = -76 + 1. Let h be (18/30)/((-6)/l). Factor -3/2*t**5 - 3/2 - 15/2*t - 15*t**2 - 15*t**3 - h*t**4.
-3*(t + 1)**5/2
Determine z, given that 11250*z - 2048931 + 22*z**2 - 4279194 - 27*z**2 = 0.
1125
Let g be ((-162)/8)/(-1) - 4/16. Suppose z + g = 6*z. Solve -48*w**2 + 18*w**3 - 12*w**2 - 5*w**4 + 4*w**z - 48 - w**4 + 88*w = 0.
2, 3
Let z(i) be the third derivative of i**5/300 + 47*i**4/24 + 39*i**3/5 - 1372*i**2. Factor z(g).
(g + 1)*(g + 234)/5
Let j = -125 + 130. Suppose 0 = y - 5, -4*t + 22 = j*y - 11. Factor -2*h**t - 7*h**2 + 6*h**2 - 18*h.
-3*h*(h + 6)
Let q = 440 + -438. Factor -11 + 32 - 2864*o**2 + 78*o + 2855*o**q + 6.
-3*(o - 9)*(3*o + 1)
Let c(h) be the first derivative of 39*h**4 - 64/5*h**5 + 59 - 12*h**3 - 128/3*h**6 + 0*h**2 + 0*h. Factor c(y).
-4*y**2*(y + 1)*(8*y - 3)**2
Factor 89780/3 + 1340/3*t + 5/3*t**2.
5*(t + 134)**2/3
Let l(c) be the first derivative of -c**3/3 + 41*c**2 + 83*c - 453. Factor l(y).
-(y - 83)*(y + 1)
Let f(z) be the first derivative of 2*z**5/65 - 31*z**4/13 + 1658*z**3/39 + 4092*z**2/13 + 8712*z/13 + 849. Determine c so that f(c) = 0.
-2, 33
Let g(w) be the third derivative of w**5/240 + 161*w**4/16 + 77763*w**3/8 + 309*w**2 + 3. Let g(q) = 0. Calculate q.
-483
Let x(y) be the second derivative of -9*y + 0 + 1/160*y**5 - 11/24*y**3 + 5/96*y**4 + y**2. Factor x(n).
(n - 2)*(n - 1)*(n + 8)/8
Factor 0 + 1/2*f**5 - 5/2*f**4 + 0*f + 45/2*f**2 - 9/2*f**3.
f**2*(f - 5)*(f - 3)*(f + 3)/2
Let u(l) be the first derivative of l**5/20 + 5*l**4/2 - l**3/6 - 15*l**2 - 88*l + 20. Let f(w) be the first derivative of u(w). Solve f(r) = 0.
-30, -1, 1
Let p(f) = 2*f - 2. Let t be p(3). Suppose -4*m - 13 + 3 = s, -5*s = -5*m - 25. Solve -b**2 - 8*b**2 - b**s + 8*b**2 + t*b + 16 = 0.
-2, 4
Let u(r) = -r**4 - 12*r**3 - 26*r**2 - 42*r - 21. Let a(m) = -m**4 - 11*m**3 - 27*m**2 - 41*m - 20. Let c(q) = 15*a(q) - 10*u(q). Find z, given that c(z) = 0.
-3, -2, -1
Let z(h) be the second derivative of h**6/120 - 3*h**5/20 + 9*h**4/8 - 89*h**3/6 - 92*h. Let a(r) be the second derivative of z(r). Factor a(m).
3*(m - 3)**2
Let y(p) = -p**2 - 7*p - 1. Let t(a) = 20*a**2 - 265*a - 9655. Let v(o) = t(o) + 25*y(o). Factor v(j).
-5*(j + 44)**2
Let g(n) be the second derivative of n**4/96 - 5*n**3/16 + 7*n**2/2 + 48*n. Factor g(o).
(o - 8)*(o - 7)/8
Let r(d) be the first derivative of -2*d**5/5 + 4*d**4 + 146*d**3/3 - 656*d**2 + 1152*d - 1772. Suppose r(l) = 0. Calculate l.
-9, 1, 8
Factor -275*q + 1/2*q**2 + 549/2.
(q - 549)*(q - 1)/2
Determine z, given that 200/7*z - 2/7*z**2 + 0 = 0.
0, 100
Suppose -433*a + 2553 = 388. Solve -2/5*p - 2/15*p**a + 4/5*p**4 - 8/5*p**3 + 4/3*p**2 + 0 = 0.
0, 1, 3
Let a = -3136781 - -178804312/57. Let z = a + -409/3. Suppose -24/19*t**2 - 4/19 + 18/19*t + z*t**3 = 0. What is t?
1/2, 2
Let l(y) = 13*y**3 - 4*y**2 + 18*y + 15. Let w(u) = -8*u**3 + 3*u**2 - 9*u - 8. Let a(j) = 3*l(j) + 5*w(j). Suppose a(z) = 0. Calculate z.
-1, 5
Let f be 6 + 4*15/(-10). Let y(r) be the first derivative of -3/4*r**2 + 1 + 7/4*r**3 - 3/8*r**4 + f*r - 9/20*r**5. Solve y(x) = 0.
-2, 0, 1/3, 1
Let a(b) be the first derivative of b**5 + 195*b**4/4 - 675*b**3 + 6345*b**2/2 - 6480*b - 582. Find t such that a(t) = 0.
-48, 3
Let b be -4 + 10 + -4 + (-4)/(-2). Let f(k) be the first derivative of 0*k + 1/28*k**b - 1/7*k**2 - 1/21*k**3 + 10. Factor f(p).
p*(p - 2)*(p + 1)/7
Factor -23*q**2 + 47846 + 162*q - 47687 + 26*q**2.
3*(q + 1)*(q + 53)
Solve 214/5*w**3 + 106/5*w**2 + 4/5*w**4 + 0 + 0*w = 0 for w.
-53, -1/2, 0
Let z(s) be the third derivative of -1/3*s**3 + 1/24*s**5 - 78*s**2 + 0*s + 0 - 1/6*s**4. Factor z(c).
(c - 2)*(5*c + 2)/2
Suppose -98*l - 36*l + 62*l = 89*l + 9*l. Factor 0 + 5/3*q**5 + 0*q**2 + l*q - 25/3*q**4 - 10*q**3.
5*q**3*(q - 6)*(q + 1)/3
Suppose -98 = 109*j - 158*j. Let o(x) be the second derivative of 0*x**3 + 0*x**j + 0*x**6 + 3/20*x**5 - 1/14*x**7 + 0*x**4 + 0 - 28*x. Let o(v) = 0. What is v?
-1, 0, 1
Let m(x) be the third derivative of -x**7/420 - x**6/60 + 11*x**5/20 - 29*x**4/12 + 55*x**3/12 + 33*x**2 - 2. Factor m(n).
-(n - 5)*(n - 1)**2*(n + 11)/2
Suppose -23*u - 43 + 158 = 0. Determine l so that -31*l + u*l**2 + 50 + 195 - 39*l = 0.
7
Let g = 249/346 - -135/173. Solve -49/2*s**3 + 14*s + 0 + g*s**5 + 2*s**2 + 7*s**4 = 0 for s.
-7, -2/3, 0, 1, 2
Let k = -38 - -38. Suppose -5*a + 16 + k = -j, 5*j = 2*a + 12. Factor -a*i + 5*i**2 - 5*i**2 - i**5 + 0*i - 4*i**2 + 2*i**4 + 3*i**3.
-i*(i - 2)**2*(i + 1)**2
Let r(n) = 5*n**2 + 1. Let w be r(-1). Let i be 414/23 + 0 + -16. Suppose 19*j**i + 162*j**3 + 53*j**2 + w*j + 2*j = 0. Calculate j.
-2/9, 0
Let v = -13 - -18. Suppose 5*d = -a, 2*a + 3*d - v = 2. Find i such that 37*i**4 - 3*i**3 - 38*i**4 - 3*i**3 + a*i**3 = 0.
-1, 0
Let n(z) be the first derivative of -z**6/8 - 27*z**5/20 - 9*z**4/2 - 5*z**3 + 1476. Factor n(i).
-3*i**2*(i + 2)**2*(i + 5)/4
Let i(k) be the third derivative of -k**6/900 - 2*k**5/15 - 59*k**4/180 - 22*k**2 + 23. Find b, given that i(b) = 0.
-59, -1, 0
Let l(m) = 18*m**3 - 4*m**2 + 59*m - 92. Let b(z) = -3*z**3 - z**2 + 3*z. Let t(i) = 35*b(i) + 5*l(i). Solve t(k) = 0.
-23/3, 2
Let c = -31/12 + -127/12. Let r = c + 41/3. Determine j, given that -7/6*j + r*j**2 + 1/3 = 0.
1/3, 2
Let m(o) be the second derivative of -o**9/105840 + o**7/4410 + 7*o**4/3 - 9*o - 3. Let j(h) be the third derivative of m(h). Determine y, given that j(y) = 0.
-2, 0, 2
Let g(y) be the third derivative of y**5/420 + 13*y**4/24 - 150*y**3/7 - 4812*y**2. What is