3 - 17/10*p**6 - 26/3*p**4 - 2*p**2 + 0*p - 2/15*p**7 - 27/5*p**5 + 1/28*p**8. Factor q(r).
4*(r - 6)*(r + 1)**3*(3*r + 2)
Let x be (-3)/(-2)*(7 + (-1121)/171). Let z(h) be the second derivative of 0 - 10*h - x*h**3 + h**4 - 3/5*h**5 + 2/15*h**6 + 0*h**2. Factor z(w).
4*w*(w - 1)**3
Factor -345600 - 3/2*i**4 - 9507/2*i**2 - 67680*i - 141*i**3.
-3*(i + 15)**2*(i + 32)**2/2
Let w(u) be the third derivative of u**6/160 - 27*u**5/40 - 57*u**4/32 + 55*u**3/4 - 55*u**2 - 10*u. Factor w(b).
3*(b - 55)*(b - 1)*(b + 2)/4
Let m(u) be the third derivative of -u**5/180 + 361*u**4/72 - 20*u**3 - 1221*u**2. Suppose m(g) = 0. Calculate g.
1, 360
Let d be (45/60)/(21/112). Let b(f) be the second derivative of 14*f + 2/9*f**6 + 0*f**3 - 3 + 32/15*f**5 + 4/3*f**d + 0*f**2. Factor b(v).
4*v**2*(v + 6)*(5*v + 2)/3
Let 4/3*x**3 - 68/3*x**2 + 0 + 64/3*x = 0. What is x?
0, 1, 16
Let l = 2747 - 2726. Let y(m) = -m**2 + 5*m - 2. Let d be y(4). Find v such that -l*v**2 - 30*v - 29*v**d - 3 + v**2 - 26*v**2 = 0.
-1/5
Let u(b) be the first derivative of 16245*b + 5*b**4 + 178 + 32775*b**2 + 2285/3*b**3. Factor u(j).
5*(j + 57)**2*(4*j + 1)
Let j(o) be the first derivative of 0*o**3 - 3/2*o**2 + 4*o + 1/16*o**4 + 127. Factor j(u).
(u - 2)**2*(u + 4)/4
Let i(l) be the first derivative of l**6/96 - 11*l**5/120 + 7*l**4/24 - l**3/3 + 71*l**2/2 - 6. Let q(z) be the second derivative of i(z). Factor q(k).
(k - 2)**2*(5*k - 2)/4
Let n(c) be the third derivative of c**7/840 + 11*c**6/480 - 5*c**5/48 + 13*c**4/96 - 54*c**2 - 6*c. Factor n(v).
v*(v - 1)**2*(v + 13)/4
Let i = -2534 - -103882/41. Let k = 22/205 - i. Factor -6/5 - k*f**2 - 8/5*f.
-2*(f + 1)*(f + 3)/5
Let o(i) = -68*i - 8837. Let d be o(-130). Find m such that 7/3 + 1/6*m**d + 5/6*m - 4/3*m**2 = 0.
-1, 2, 7
Let x(a) be the third derivative of a**7/42 - a**6/3 - 5*a**5/3 - 63*a**2 - 2. Determine g so that x(g) = 0.
-2, 0, 10
Suppose -39*o + 307 - 100 = 51. Suppose 0 - 21/4*q**2 - 3/4*q**o + 0*q + 6*q**3 = 0. Calculate q.
0, 1, 7
Let y = -247 + 245. Let r be (-23 + 24)/(5 - (y - -1)). What is u in 0*u**4 + r*u**5 + 0*u**3 + 0*u + 0 + 0*u**2 = 0?
0
Let q(a) be the third derivative of 0*a**3 + 0 + 0*a**5 + 2/21*a**7 + 0*a**4 + 20*a**2 - 1/840*a**8 - 25/12*a**6 + a. Factor q(c).
-2*c**3*(c - 25)**2/5
Let f(n) = 1058*n**2 + 12928*n - 10445833. Let k(u) = 470*u**2 + 6464*u - 5222916. Let x(h) = -4*f(h) + 9*k(h). Suppose x(r) = 0. Calculate r.
1616
Let w be 6/1 - 0/2. Suppose 184*f - 521*f + 674 = 0. Factor 0*h**2 + w*h**3 + 0*h**2 - 9*h**4 - 3*h**f + 12*h**4 - 6*h.
3*h*(h - 1)*(h + 1)*(h + 2)
Determine s, given that 144/13*s**2 + 94/13*s**3 + 0 + 24/13*s**4 + 2/13*s**5 + 72/13*s = 0.
-6, -3, -2, -1, 0
Suppose 0 = -37*a + 35*a - 5*l + 3725, -5*l = -2*a + 3695. Let i = 1857 - a. Factor -t + 2 + 1/4*t**3 - 1/2*t**i.
(t - 2)**2*(t + 2)/4
Suppose -3*d = -2291 + 692. Let p = d - 529. Factor 2500/9*k**2 + 50/9*k**p + 6250/9 - 500/9*k**3 - 6250/9*k - 2/9*k**5.
-2*(k - 5)**5/9
Let a(b) be the first derivative of b**4/6 - 4*b**3/3 - 120*b + 22. Let i(s) be the first derivative of a(s). Factor i(d).
2*d*(d - 4)
Suppose 23826 - 23658 = 42*l. Factor 2/3 - 2/3*w**l + 0*w**2 - 4/3*w + 4/3*w**3.
-2*(w - 1)**3*(w + 1)/3
Let t(k) be the third derivative of 1/15*k**6 + 0*k + 8*k**3 - 24*k**2 + 0 + 19/15*k**5 - 2/105*k**7 + 14/3*k**4. Factor t(p).
-4*(p - 6)*(p + 1)**2*(p + 2)
Solve 2/11*u**2 + 768/11 - 112/11*u = 0 for u.
8, 48
Let x(g) be the first derivative of g**4 + 328*g**3/3 + 3666*g**2 + 24336*g - 901. Factor x(y).
4*(y + 4)*(y + 39)**2
Let d(g) = -22*g**2 + 143*g + 304. Let x(u) = 12*u**2 - 72*u - 118 + 73 - 107. Let p(a) = 4*d(a) + 7*x(a). Suppose p(h) = 0. Calculate h.
-2, 19
Let y(r) be the first derivative of 2*r**3/15 + 16*r**2/5 + 56*r/5 - 1041. Factor y(h).
2*(h + 2)*(h + 14)/5
Let g(r) be the second derivative of r**7/168 - 17*r**6/120 - r**5/16 + 127*r**4/16 - 30*r**3 - 4582*r. Suppose g(h) = 0. Calculate h.
-5, 0, 3, 16
Let v be (-7)/21*-2*6. Suppose 3*d - 15 = -v*s, 5*s - 4*d - 15 = -4. Factor 4*o**4 - 32*o - 56*o**s + 31 - 96*o**2 - 14*o**4 - 13 + 14.
-2*(o + 2)**3*(5*o - 2)
What is p in -71/6*p**2 - 7*p + 1/6*p**5 - 31/6*p**3 + 0 - 1/6*p**4 = 0?
-3, -2, -1, 0, 7
Let v(i) be the third derivative of -i**7/105 + 19*i**6/12 - 368*i**5/5 - 192*i**4 + 5226*i**2. Find b such that v(b) = 0.
-1, 0, 48
Suppose 2*g + 0*g = -i + 24, i = -g + 20. Factor 0 - j**2 - 8 + 20*j - i*j + 5*j**2.
4*(j - 1)*(j + 2)
Let w = 40985 - 40983. Let 16/5*f**4 + 2/5*f**5 + 0 + w*f + 32/5*f**2 + 36/5*f**3 = 0. What is f?
-5, -1, 0
Let n(w) = 2*w. Let f(r) = 4*r + 4*r + 10 - r**2 - 28 + 3*r**2. Let m(i) = -f(i) + 4*n(i). Factor m(b).
-2*(b - 3)*(b + 3)
Let o be (-1)/(-16 + (-32)/((-384)/189)). Solve 0*m**2 + 0 + 2/5*m**3 + 1/5*m**o + 0*m - 1/5*m**5 = 0 for m.
-1, 0, 2
Let p(v) be the third derivative of -v**5/480 + 25*v**4/192 + 13*v**3/24 - 2*v**2 - 279*v + 1. Factor p(c).
-(c - 26)*(c + 1)/8
Let b(y) = 3*y**2 + 14*y + 1. Let c(z) = 3*z + 2. Let n(r) = b(r) - 2*c(r). Let s(u) = 6*u**2 + 18*u - 6. Let i(h) = 9*n(h) - 4*s(h). Solve i(t) = 0 for t.
-1, 1
Factor -387*v**2 - 397*v**2 - 392*v**2 + 1174*v**2 - 28 - 68 - 32*v.
-2*(v + 4)*(v + 12)
Let h be (-6)/14 + (-3816)/(-84). Let x be (11/(110/h))/((-3)/(-6)). Factor -21/2*z + x + 3/2*z**2.
3*(z - 6)*(z - 1)/2
Let s(j) = 48*j**3 + 1012*j**2 + 4578*j - 162. Let b(l) = 93*l**3 + 2020*l**2 + 9155*l - 324. Let n(v) = -3*b(v) + 7*s(v). Suppose n(r) = 0. What is r?
-9, 2/57
Let x(d) be the third derivative of -d**5/540 + 113*d**4/108 + 227*d**3/54 + 108*d**2 + 19*d. Let x(h) = 0. Calculate h.
-1, 227
Let d(h) be the second derivative of -h**4/3 + 286*h**3/3 - 284*h**2 - 473*h + 2. Factor d(o).
-4*(o - 142)*(o - 1)
Suppose -12 + 1/3*q**4 - 37/3*q**2 - 4/3*q**3 - 68/3*q = 0. What is q?
-2, -1, 9
Let u = 54 + -16. Suppose 3*b = -29 + u. What is q in 4*q**2 - q**5 + 0*q**2 - 6*q**5 + 9*q**4 + 12*q**b - 8*q**2 = 0?
-1, 0, 2/7, 2
Factor -161/2*s - 72 - 35/4*s**2 - 1/4*s**3.
-(s + 1)*(s + 16)*(s + 18)/4
Let -37*n**2 + 39*n**2 - 4*n - 9*n + 11*n = 0. What is n?
0, 1
Suppose 6*m = 476 + 772. Let v be (8/27)/(m/312). Factor -2/9*j**4 + v*j**2 + 2/9*j**3 + 0 + 0*j.
-2*j**2*(j - 2)*(j + 1)/9
Suppose -2 = -16*v + 15*v. Suppose 4*l - 4*p = 58 - v, 16 = -l - 5*p. Find d such that l*d**2 + 8 + 2 - 22 - 3*d**3 = 0.
-1, 2
Let a(h) be the first derivative of h**8/336 + h**7/28 - 35*h**6/72 + 2*h**5 - 25*h**4/6 + 65*h**3 - 105. Let j(v) be the third derivative of a(v). Factor j(f).
5*(f - 2)*(f - 1)**2*(f + 10)
Let l = 299 - 297. What is h in 2*h**l - 438 - 3*h**2 - 78*h + 2*h**2 + 1959 = 0?
39
Let q(p) be the third derivative of p**6/120 + 21*p**5/40 - 23*p**4/4 - 53*p**3/3 - 188*p**2. Let n(f) be the first derivative of q(f). Factor n(g).
3*(g - 2)*(g + 23)
Let w(g) be the first derivative of -g**5/90 + g**4/6 + 16*g**3/9 - g**2/2 - 53*g - 62. Let s(x) be the second derivative of w(x). Find k such that s(k) = 0.
-2, 8
Suppose 3*u = -3*l + 9, 2*l - l + 1 = 3*u. Let t be (3/l)/(7/2 - 3). Factor -22*w**2 - 6*w**2 + 0*w**t - 32*w + 64 - 6*w**3 + 2*w**3.
-4*(w - 1)*(w + 4)**2
Let 482*i**5 - 870*i**2 - 1215 - 183*i**5 - 179*i**5 - 115*i**5 + 290*i**3 + 85*i**4 - 2295*i = 0. What is i?
-9, -1, 3
Factor -1/8*o**3 + 45/2 + 29/8*o**2 - 26*o.
-(o - 18)*(o - 10)*(o - 1)/8
Let a = -11/480 - -14477/3360. Factor -3/7*c**2 - a - 3*c.
-3*(c + 2)*(c + 5)/7
Let w(j) be the first derivative of -j**3/18 - 1709*j**2/12 - 854*j/3 + 2104. Factor w(o).
-(o + 1)*(o + 1708)/6
Suppose -125 = -22*l + 29. Let t be (-19)/19*(2 - -2 - l). Factor -4/7*h**2 + 2/7*h**4 + 0*h + 2/7*h**t + 0.
2*h**2*(h - 1)*(h + 2)/7
Let v(b) = -2*b**3 - 7*b**2 - 6*b + 12. Let s be v(-4). Suppose 6*x + 7*x - s = 0. Factor -4/3*j**2 + 5/3*j**x - 8/3*j + 2*j**3 + 0 + 1/3*j**5.
j*(j - 1)*(j + 2)**3/3
Let r(c) be the third derivative of c**7/735 - 11*c**6/70 - 47*c**5/70 + 167*c**4/42 + 136*c**3/7 - 4212*c**2. Solve r(s) = 0.
-3, -1, 2, 68
Suppose -12*m - 6 + 30 = 0. Let s be (17 - 18)/(m*(-2)/8). Suppose 2/5 - 4/5*b + 2/5*b**s = 0. Calculate b.
1
Let c(t) be the first derivative of t**5/60 + 13*t**4/24 - 7*t**3/3 + 87*t**2/2 - 87. Let q(s) be the second derivative of c(s). Factor q(f).
(f - 1)*(f + 14)
Find h, given that 518700*h**2 - 518712*h**2 + 10*h + 12*h**3 - 10*h**3 = 0.
0, 1