Calculate v.
-1, 2
Let w(p) be the second derivative of 5/4*p**3 + 1/48*p**4 + 0*p**2 + 18*p - 6. Factor w(s).
s*(s + 30)/4
Let t(o) = 461*o + 1849. Let x be t(-4). Let n(l) be the third derivative of -11*l**2 + 0*l + 0 - 11/24*l**6 + 55/24*l**4 - 5/3*l**3 + 1/6*l**x. Factor n(q).
-5*(q - 1)*(q + 1)*(11*q - 2)
Let l(r) be the first derivative of -50 - 1/2*r**2 + 0*r + 1/3*r**3. Solve l(q) = 0.
0, 1
Let v = 64 - 34. Let a be 6/60*-4*v/(-72). Factor 0 + a*b**5 - 1/6*b**3 + 0*b + 1/6*b**2 - 1/6*b**4.
b**2*(b - 1)**2*(b + 1)/6
Let x(s) = 23*s**2 - 47163*s + 61732421. Let u(a) = -16*a**2 + 31443*a - 41154946. Let w(y) = -7*u(y) - 5*x(y). Find n, given that w(n) = 0.
2619
Let r(s) be the third derivative of 1/70*s**7 - 6 + 1/5*s**6 + 5*s**2 + 3*s**4 + 0*s + 9/2*s**3 + 11/10*s**5. Factor r(c).
3*(c + 1)**2*(c + 3)**2
Let -4*s**3 - 3*s**2 + 2*s**4 + 0*s**3 - 18*s**2 + 5*s**2 = 0. What is s?
-2, 0, 4
Let a(d) be the first derivative of -2*d**3/9 + 41*d**2 - 866. Factor a(l).
-2*l*(l - 123)/3
Suppose -24/7*h + 67/7*h**2 - 8/7*h**3 + 0 = 0. What is h?
0, 3/8, 8
Let v(f) = -31*f**3 + 1756*f**2 + 3517*f + 1706. Let q(c) = -38*c**3 + 1757*c**2 + 3518*c + 1693. Let w(n) = 4*q(n) - 5*v(n). Let w(x) = 0. Calculate x.
-1, 586
Let i(s) be the third derivative of -s**9/362880 + s**8/40320 - 8*s**5/15 + 2*s**2. Let p(m) be the third derivative of i(m). Factor p(d).
-d**2*(d - 3)/6
Determine b, given that 0 + 106/7*b**2 + 2/7*b**5 - 6*b**3 - 10/7*b**4 - 8*b = 0.
-4, 0, 1, 7
Let r(l) be the third derivative of l**5/30 + 7*l**4/6 + 15*l**3 + 1027*l**2. What is c in r(c) = 0?
-9, -5
Let f(i) = -24*i - 75. Let m be f(-5). Factor 949*v - 949*v - 10*v**2 - 35*v**4 + m*v**3.
-5*v**2*(v - 1)*(7*v - 2)
Factor -p + 38 - 19/2*p**2 + 1/4*p**3.
(p - 38)*(p - 2)*(p + 2)/4
Factor 1/4*r**2 + 5329/4 + 73/2*r.
(r + 73)**2/4
Let t(f) be the third derivative of -f**6/480 + 11*f**5/20 - 363*f**4/8 + 1528*f**2. Find r such that t(r) = 0.
0, 66
Suppose -50/7*h**2 - 16/7 - 204/7*h = 0. What is h?
-4, -2/25
Let y(z) = z**3 - 13*z**2 + 3*z - 21. Let j be y(13). What is h in j*h + 3*h**2 - 11*h**2 + 7*h**2 + h - 14 - 4*h = 0?
1, 14
Let h(r) be the third derivative of r**5/70 + 27*r**4/7 + 612*r**3/7 - 2298*r**2. Solve h(c) = 0.
-102, -6
Suppose 19*a - 10 = 14*a. Suppose 0 = -r + 2*u - a + 12, 5*u - 105 = -4*r. Let r*l - 83 + 0*l**2 + 33 - 2*l**2 = 0. What is l?
5
Let s(v) be the first derivative of -v**3/7 + 15*v**2/7 - 75*v/7 + 3286. Solve s(z) = 0 for z.
5
Let d(l) be the third derivative of -l**6/720 + 7*l**5/240 - l**4/8 - 47*l**3/2 + 161*l**2. Let q(b) be the first derivative of d(b). Factor q(i).
-(i - 6)*(i - 1)/2
Let k(f) be the second derivative of 1/21*f**7 + 0*f**2 - 4*f + 0*f**3 + 3/10*f**5 + 1/6*f**4 + 5 + 1/5*f**6. Factor k(v).
2*v**2*(v + 1)**3
Let t(y) = y**2 - 71*y - 1599. Let x be t(-18). Factor 1/3*p**x - 3*p + 5/3 + p**2.
(p - 1)**2*(p + 5)/3
Suppose 4 = 4*h - 3*h, 5*j - 18 = 5*h - 23. Let -8/9*b**2 + 22/9*b - 4/3 - 2/9*b**j = 0. What is b?
-6, 1
Suppose 5/2*y**2 + 0*y - 48*y**3 + 0 + 19/2*y**4 = 0. Calculate y.
0, 1/19, 5
Let k be 285/(-760)*8/18 + 31/6. Let o(z) be the first derivative of 2/3*z**6 - z**4 + 4/5*z**k + 0*z - 4/3*z**3 + 5 + 0*z**2. Factor o(j).
4*j**2*(j - 1)*(j + 1)**2
Let p(i) be the third derivative of -92*i**5/15 - 65*i**4/6 + 44*i**3/3 + 9*i**2 + 194*i. What is u in p(u) = 0?
-22/23, 1/4
Suppose -3 = -y + 1. Let k be ((160/(-84))/5)/(((-63)/27)/7). Let -18/7*d**3 + 0 - k*d**5 + 0*d - 24/7*d**y - 4/7*d**2 = 0. Calculate d.
-2, -1/2, 0
Let c be (-16)/136 + (-1498)/(-17). Factor 48 - c + 39 + 192*o**3 - 2*o - 4*o**2 - 10*o - 256*o**4.
-(2*o - 1)**2*(8*o + 1)**2
What is a in -21/2*a**4 - 420 + 147*a**2 + 729/2*a**3 - 1458*a = 0?
-2, -2/7, 2, 35
Let x(a) be the second derivative of -a**6/165 + a**5/55 + 19*a**4/66 - 68*a**3/33 + 60*a**2/11 + 329*a. Suppose x(o) = 0. Calculate o.
-5, 2, 3
Let d(f) be the third derivative of f**6/900 + 3*f**5/50 - 7*f**4/45 - 4*f**2 - 43*f. Suppose d(v) = 0. What is v?
-28, 0, 1
Factor -3*y**2 + 1300 - 29*y**2 - 5196*y + 6*y**2 + 10*y**2.
-4*(y + 325)*(4*y - 1)
Suppose 5*p - 10*p = -3*s + 5, -3*p - 3 = -4*s. Suppose -13*n + 15 + 11 = s. Determine q so that 1/3*q + 1/9*q**n + 0 = 0.
-3, 0
Suppose 2478 = 2744*q - 3010. Solve 3/4*v**5 + 3/2 - 1/2*v**q - v**4 - 4*v**3 + 13/4*v = 0.
-1, -2/3, 1, 3
Suppose 11 + 22 = -4*p + 57. Let n(g) be the first derivative of 38 - 8*g - p*g**2 - 4/3*g**3. Factor n(u).
-4*(u + 1)*(u + 2)
Let n(c) be the third derivative of 1/300*c**5 - 72*c**2 + 0*c + 0*c**3 + 0 + 1/600*c**6 + 0*c**4. Factor n(y).
y**2*(y + 1)/5
Let g(c) = 169*c**3 - 794*c**2 - 28141*c - 18422. Let m(b) = -33*b**3 + 159*b**2 + 5628*b + 3684. Let y(f) = -6*g(f) - 31*m(f). Factor y(i).
3*(i - 36)*(i + 17)*(3*i + 2)
Let s(o) be the first derivative of 50/3*o**3 + 5/4*o**4 - 15 + 160*o + 80*o**2. Determine k, given that s(k) = 0.
-4, -2
Suppose 44*a - 57*a - 14*a = -135. Let p(s) be the first derivative of 32 + 12*s**a - 15/4*s**4 + 0*s - 35/6*s**6 - 10/3*s**3 + 0*s**2. Let p(m) = 0. What is m?
-2/7, 0, 1
Suppose 0*d**4 + d**4 + 55*d**2 - 192*d**2 + 48*d**3 + 88*d**3 = 0. What is d?
-137, 0, 1
Factor -f**3 + 2851*f**2 + 152*f - 2873*f**2 - 4*f**3 + 58 + 6.
-(f - 4)*(f + 8)*(5*f + 2)
Let a(c) = c**3 + 25*c**2 - 351*c - 32. Let f be a(-35). Factor -8 - 8/3*r + 2*r**2 + 2/3*r**f.
2*(r - 2)*(r + 2)*(r + 3)/3
Suppose 4*d = 4*i, 0 = 2*d - 64 + 60. Let u(b) be the third derivative of 14*b**i + 0*b**4 + 0*b - 1/12*b**5 + 0*b**6 + 0 + 1/42*b**7 + 0*b**3. Factor u(o).
5*o**2*(o - 1)*(o + 1)
Factor -368*r - 12*r**2 - 220 - 46*r + 3*r**2 - 85*r.
-(r + 55)*(9*r + 4)
Let y(g) = -29*g**3 + 4499*g**2 + 9058*g. Let q(c) = 35*c**3 - 5399*c**2 - 10870*c. Let s(j) = -14*q(j) - 17*y(j). Solve s(o) = 0 for o.
-2, 0, 301
Find s such that -23/4*s**2 + 43/4*s**4 + 59/4*s**3 - 5 - 61/4*s + 1/2*s**5 = 0.
-20, -1, -1/2, 1
Suppose 7*r - 6 = 4*r. Let v be (1/(-4))/(4/(-48)). Factor 898 - 2*n + 2*n**2 + 2*n**v - 898 - r*n**4.
-2*n*(n - 1)**2*(n + 1)
Let 45/8*r**3 - 3/8*r**5 + 0 - 21/4*r - 15/8*r**2 + 15/8*r**4 = 0. What is r?
-2, -1, 0, 1, 7
Suppose 0 = 12*c + 76 + 404. Let i be 12/15*c/(-416)*2. Determine q, given that -8/13*q + 4/13*q**2 + 8/13*q**3 - 6/13 + i*q**4 = 0.
-3, -1, 1
Factor 0 - 229/5*x + 1/5*x**2.
x*(x - 229)/5
Let y = -251 - -250. Let c be y*(2 + (-3)/(-5)) + 3. Factor 0*o + 0*o**3 + 0 - 2/5*o**2 + c*o**4.
2*o**2*(o - 1)*(o + 1)/5
Let v = 1457095/23477 + 73/1381. Factor 128/17*h**3 + 258/17*h - 16/17 - v*h**2.
2*(h - 8)*(8*h - 1)**2/17
Let q(r) = r**2 + 10*r - 14. Let b be q(-11). Let w be (b + (-4)/(-2))*-2. Factor -2*k**w + k + 18*k**3 - 19*k**3 + 0 + 2.
-(k - 1)*(k + 1)*(k + 2)
Let m be ((-54)/(-5))/(344/120 - 3). Let l be m/(-36) + 6/(-4). Solve 15/4*k**3 + 0*k + l*k**4 - 3/4*k**5 + 0 + 9/4*k**2 = 0 for k.
-1, 0, 3
Let z(u) be the third derivative of u**6/480 + u**5/12 + 103*u**4/96 + 7*u**3/2 + u**2 - 329. Factor z(w).
(w + 1)*(w + 7)*(w + 12)/4
Let t(v) be the first derivative of -4/3*v**3 - 11/7*v**2 - 1/14*v**4 + 182 + 52/7*v. Find n, given that t(n) = 0.
-13, -2, 1
Factor 719/6 - 1/6*x**2 - 359/3*x.
-(x - 1)*(x + 719)/6
Let t(b) be the second derivative of b**4/3 - 4540*b**3/3 + 2576450*b**2 - 2268*b. Factor t(n).
4*(n - 1135)**2
Let i be (-2142)/(-1323) - 12/42. Let o(r) be the second derivative of -36*r**2 + 0 + 2*r**3 + 18*r - 1/5*r**5 + i*r**4. Find x, given that o(x) = 0.
-2, 3
Let x(q) be the second derivative of q**7/24 - 2*q**6/15 + 11*q**5/80 - q**4/24 - 1638*q. Factor x(c).
c**2*(c - 1)**2*(7*c - 2)/4
Let l be (-1 - 0)*((-27048)/368)/147. Let 3*s + 0 + l*s**3 - 7/2*s**2 = 0. Calculate s.
0, 1, 6
Let l = -49009 - -98023/2. What is x in 1/2*x**4 - l*x**3 - 5/2*x**2 + 2 + 2*x + 1/2*x**5 = 0?
-2, -1, 1, 2
Let o(i) be the second derivative of 13*i**6/10 - 303*i**5/4 + 104*i**4 + 38*i**3 - 107*i - 2. Let o(m) = 0. What is m?
-2/13, 0, 1, 38
Suppose 41*x - 137 - 109 = 328. Let g(f) be the first derivative of 0*f + x - 4/5*f**3 - f**2 - 1/10*f**4. Factor g(v).
-2*v*(v + 1)*(v + 5)/5
Let v(o) = 6 - 9 + 9 + 11*o**4 - 15*o**2 + 10*o. Let s be 0/(4 - 5) + 55. Let j(l) = 100*l**4 - 135*l**2 + 90*l + 55. Let w(y) = s*v(y) - 6*j(y). Factor w(z).
5*z*(z - 1)**2*(z + 2)
Let c = 29 + 1. Let i = -34 + c. Let v(t) = -2*t**2 + 3. Let d(z) = -3*