*u**2/19 + 4004*u. Factor l(m).
-2*(m - 2)**3*(m + 52)/19
Let p(g) be the second derivative of -1/10*g**5 + 1/30*g**6 + 0 + 0*g**2 + 1/84*g**7 + 27*g - 1/12*g**4 + 1/4*g**3. Determine h so that p(h) = 0.
-3, -1, 0, 1
Find r such that 2*r**3 - 28/3*r**2 + 0 - 2/3*r**5 + 16/3*r + 8/3*r**4 = 0.
-2, 0, 1, 4
Let x(d) be the second derivative of d**6/90 + 2*d**5/15 + 17*d**4/36 + 5*d**3/9 + 586*d + 5. Factor x(f).
f*(f + 1)*(f + 2)*(f + 5)/3
Let j = -152317 - -152321. Factor 1/3*y**j + 118/3*y**2 + 27 + 60*y + 20/3*y**3.
(y + 1)**2*(y + 9)**2/3
Let m = 149/805 + -18/115. Let v(f) be the third derivative of -m*f**7 - 1/6*f**5 + 0*f + 0 + 0*f**3 + 1/12*f**4 + 8*f**2 + 7/60*f**6. Factor v(q).
-2*q*(q - 1)**2*(3*q - 1)
Let h = 310 - 304. Suppose 153 - x**4 - 137 + h*x**3 + 16*x - 10*x**3 = 0. Calculate x.
-2, 2
Let h be ((-41)/(-5) - -3)/((-14)/(-35)). Let g be (-9 + 0)*(-1 - h/(-36)). Factor 0 + 1/5*o**g - 6/5*o.
o*(o - 6)/5
Let 0 - 2/13*u**4 - 90/13*u + 2/13*u**3 + 42/13*u**2 = 0. What is u?
-5, 0, 3
Let q(l) = 13 - 21 + 3*l + 0*l + l**2 - 6*l. Let z be q(5). Let -4*n**3 + n + 3*n**3 + 2*n**3 - z*n**2 = 0. What is n?
0, 1
Suppose 5*o - 35 + 2 = -2*f, -26 = -2*o - 4*f. Let a(l) be the first derivative of -16*l**3 + l**4 + 1 - 48*l + 7*l**o - 72*l**2 - 4*l**5 + 8*l**4. Factor a(z).
3*(z - 2)*(z + 2)**2*(5*z + 2)
Let u = -17609/10 - -123313/70. Solve 3*b**2 + u*b**3 - 1/7*b**4 + 23/7*b + 8/7 = 0 for b.
-1, 8
Find m such that 0 + 0*m - 4*m**3 - 19/3*m**2 + 7/3*m**4 = 0.
-1, 0, 19/7
Factor 0 + 828/11*w - 6/11*w**3 - 402/11*w**2.
-6*w*(w - 2)*(w + 69)/11
Suppose 2*n - 6*n = -40. Let l(k) = k**2 - 4*k - 2. Let a be l(5). Factor n + 12 - 28 - a*w**2 - 9*w.
-3*(w + 1)*(w + 2)
Let z(r) = r**2 + 16*r + 50. Let x be z(-12). Let q be (7/(-6))/((-28)/8 - -3). Factor -1/3*m**4 - q*m + m**x - 2 + m**3.
-(m - 3)*(m - 2)*(m + 1)**2/3
Let b(i) be the second derivative of -i**6/600 + i**5/100 + 3*i**4/40 - 29*i**3/3 - 66*i. Let r(g) be the second derivative of b(g). Factor r(f).
-3*(f - 3)*(f + 1)/5
What is p in -164 + 6/5*p**2 + 2458/5*p = 0?
-410, 1/3
Suppose 14*s - 434 = 336. Factor -5*z**4 - z**3 + 30*z**2 - 4 + s*z - 31 - 4*z**3 - 5 - 35*z.
-5*(z - 2)*(z - 1)*(z + 2)**2
Factor 18*x + 11/6*x**3 + 0 - 1/6*x**4 + 20*x**2.
-x*(x - 18)*(x + 1)*(x + 6)/6
Factor -4/7*t**4 - 284/7*t**3 - 6624/7*t**2 + 55296/7 - 6912*t.
-4*(t - 1)*(t + 24)**3/7
Let u(x) = 246*x**2 - 15981*x - 582. Let r be u(65). Let 0 + 15/4*n - 27/8*n**2 - 3/8*n**r = 0. What is n?
-10, 0, 1
Let h(g) = -391*g**3 - 1064*g**2 + 991*g. Let d(b) = -81*b**3 - 213*b**2 + 198*b. Let j(o) = 29*d(o) - 6*h(o). Let j(s) = 0. What is s?
0, 1, 68
Let i(n) be the first derivative of -6*n + 3/20*n**4 + 63/10*n**2 - 12/5*n**3 - 52. Factor i(m).
3*(m - 10)*(m - 1)**2/5
Let 399*x**5 - 10*x**2 + 2*x**4 + 8 - 46*x**3 - 400*x**5 - 4*x + 51*x**3 = 0. What is x?
-2, -1, 1, 2
Suppose 1730*d + 79 + 38 = 3577. Suppose 3/5*c**d - 56/5*c + 36/5 = 0. Calculate c.
2/3, 18
Find k, given that 164/3*k**3 + 60*k**4 - 160/3*k + 0 + 32/3*k**5 - 72*k**2 = 0.
-4, -2, -5/8, 0, 1
Let f(t) be the second derivative of 83*t**6/60 - 31*t**5/5 + 41*t**4/4 - 20*t**3/3 - t**2/4 - t - 67. Let f(o) = 0. What is o?
-1/83, 1
Let j(w) be the first derivative of -1/3*w - 12 + 1/3*w**2 + 1/15*w**5 - 1/6*w**4 + 0*w**3. Solve j(k) = 0 for k.
-1, 1
Let l(o) be the third derivative of -1/3*o**3 + 0*o - 151*o**2 + 3/16*o**4 - 7/480*o**6 - 7/240*o**5 + 0 + 1/280*o**7 + 1/1344*o**8. Solve l(k) = 0 for k.
-4, -2, 1
Let d(m) be the second derivative of -1/40*m**5 + 1/12*m**4 - 45*m - 2*m**2 + 1/3*m**3 + 0. Suppose d(t) = 0. Calculate t.
-2, 2
Let g = -14787 + 14791. Let x(l) be the third derivative of 0 + 0*l - 40*l**2 + 0*l**g + 1/140*l**5 - 2/7*l**3. Factor x(r).
3*(r - 2)*(r + 2)/7
Let r(t) = -t**3 - 11*t**2 - 10*t - 16. Let v be r(-9). Let f be v/(-748) - (354/(-170) - -2). Suppose f + 0*z - 1/5*z**2 = 0. What is z?
-1, 1
Let q = -856 - -852. Let t be 350/q*67/(-938). Determine v, given that -t*v**3 - v**4 + 3/4*v**5 + 0 - 2*v - 13/2*v**2 = 0.
-1, -2/3, 0, 4
Suppose 78 = 15*a - 117. Factor -90*d**4 - 58*d**5 + 105*d**4 + a*d**5 + 40*d**3 - 20*d**2.
-5*d**2*(d + 1)*(3*d - 2)**2
Suppose -27*m - 372 = -26*m + 2*z, -3*m + z - 1095 = 0. Let o = m - -369. Determine h, given that 1/2*h**2 + 0*h + 11/4*h**o + 0 + h**5 + 13/4*h**4 = 0.
-2, -1, -1/4, 0
Let z(x) be the third derivative of -x**9/120960 - x**8/26880 + x**7/10080 - 13*x**5/20 - x**2 + 22. Let i(h) be the third derivative of z(h). Factor i(d).
-d*(d + 2)*(2*d - 1)/4
Factor 2/19*z**2 + 2336/19*z + 682112/19.
2*(z + 584)**2/19
What is s in -1656*s**2 + 6240*s - 3*s**4 - 8064 + 2131*s**3 + 2022*s**3 - 3991*s**3 = 0?
4, 42
Let g(w) be the second derivative of -w**8/1344 + w**6/160 - w**5/120 + 58*w**2 - 14*w. Let i(l) be the first derivative of g(l). Let i(z) = 0. Calculate z.
-2, 0, 1
Suppose -5*k + 38 = -i, 0 = -2*i - 3*k - 20 + 48. Factor -18/7 + 15/7*j**i + 3*j.
3*(j + 2)*(5*j - 3)/7
Factor 42750*l**2 + 1489125*l + 3/2*l**4 + 12860625/2 + 435*l**3.
3*(l + 5)*(l + 95)**3/2
Let q(s) be the second derivative of 111*s - 1/108*s**4 + 1/2*s**2 + 0*s**3 + 1. Factor q(l).
-(l - 3)*(l + 3)/9
Let n(t) = -t**3 - 20*t**2 - t - 64. Let p be n(-21). Let w = -396 + p. Suppose w*j + 0*j**2 - 4/3 - 2/3*j**3 = 0. What is j?
-2, 1
Let q = 132/5039 - -148662/95741. Find z such that 16/19*z + 2/19*z**2 + q = 0.
-5, -3
Let x(i) = -45*i - 855. Let j be x(-19). Determine v, given that j*v + 0 + v**2 + 3/4*v**3 - 1/4*v**4 = 0.
-1, 0, 4
Let o be 1752/(-1752)*(2 - 4). Factor -6 + 3/2*k**o + 0*k.
3*(k - 2)*(k + 2)/2
Let f(k) be the first derivative of 23/3*k**4 - 68/15*k**5 - 326 + 1/3*k**2 + 4/3*k - 16/3*k**3 + k**6. Suppose f(t) = 0. Calculate t.
-2/9, 1
Factor 2*h**3 + 8423*h - 8427*h + 2 - 6*h**2 - 2 + 2*h**5 + 6*h**4.
2*h*(h - 1)*(h + 1)**2*(h + 2)
Let k(i) be the second derivative of -i**5/130 + 217*i**4/78 - 3960*i**3/13 + 11664*i**2/13 - 1087*i. Factor k(r).
-2*(r - 108)**2*(r - 1)/13
Let p = 477413/136404 + 1/136404. Factor -p*v**2 - 3/2*v**3 - 4 + 9*v.
-(v - 1)*(v + 4)*(3*v - 2)/2
Let n(q) be the second derivative of 1/3*q**4 - 240*q + 26/3*q**3 + 0 + 24*q**2. Factor n(m).
4*(m + 1)*(m + 12)
Solve 3*a**4 + 5/2*a**3 - 3*a**2 + 0 - 11/4*a + 1/4*a**5 = 0 for a.
-11, -1, 0, 1
Find q, given that -1/4*q**3 + 7/4*q**2 + 2 - 7/2*q = 0.
1, 2, 4
Let l(k) = 23*k**3 - 413*k**2 - 887*k - 427. Let d(t) = 15*t**3 - 275*t**2 - 590*t - 285. Let p(y) = 8*d(y) - 5*l(y). Solve p(h) = 0.
-1, 29
Let r be (9541/1155 - 8 - 10/165)*10. Suppose 19/2*y + 9 + 1/2*y**r = 0. What is y?
-18, -1
Let a(r) be the first derivative of r**4/2 - 8354*r**3 + 52341987*r**2 - 145754986466*r + 13142. Factor a(o).
2*(o - 4177)**3
Let x(z) be the second derivative of z**6/360 + z**5/30 + z**4/6 + 49*z**3/3 - z - 43. Let c(p) be the second derivative of x(p). Factor c(m).
(m + 2)**2
Let c = -839 - -852. Determine m, given that 2*m**2 - 128*m - 8*m**3 - c*m**3 - 32 - 12*m**3 + 41*m**3 = 0.
-4, -1/4, 4
Let k(l) = 6*l**2 - 270*l - 2090. Let x(m) = 13*m**2 - 539*m - 4175. Let d(u) = -5*k(u) + 2*x(u). Factor d(q).
-4*(q - 75)*(q + 7)
Factor -3588/5*b + 1609218/5 + 2/5*b**2.
2*(b - 897)**2/5
Let a(d) be the second derivative of d**5/85 + 829*d**4/102 - 415*d**3/51 - 490*d + 2. Factor a(u).
2*u*(u + 415)*(2*u - 1)/17
Suppose 10 = 3*h - 368. Determine q, given that -5*q**4 + 104*q**3 + 2*q**4 + h*q**3 - 2*q**4 = 0.
0, 46
Let u(g) = 15*g**2 + 282*g - g**2 + 125 - 71 - 31 + 628. Let n(v) = -4*v**2 - 70*v - 163. Let h(q) = 22*n(q) + 6*u(q). Find f such that h(f) = 0.
-2, 40
Let r be (-1 + 5275/20)*(-4)/(-6). Let l = r - 175. What is v in l*v**2 + 25/6 + 5/3*v = 0?
-5
Let m(w) = -w**3 + 15*w**2 - 27*w + 15. Let j be m(13). Factor 9*r + 4*r**2 - 13*r - 2*r**j.
2*r*(r - 2)
Let t(y) be the third derivative of -y**6/720 + y**5/20 + 85*y**4/144 + 11*y**3/6 + 83*y**2. Suppose t(k) = 0. Calculate k.
-3, -1, 22
Suppose -486*l - 51/4*l**3 - 1107/8*l**2 - 3/8*l**4 + 0 = 0. What is l?
-16, -9, 0
Let q(f) = 10*f + 23. Let n be q(-2). Solve 40*r**3 + 11*r**4 + 24*r**n + 2496*r - 11*r**4 + 668*r**2 + 2566 + 2*r**4 + 476 = 0 for r.
-13, -3
Find z such that -681648*z**2 + 681385*z**2 - 12*z**5 + 5*z**4 + 122*z**4 + 397*z**3 + 39*z = 0.
-3, 0, 1/4, 1/3, 13
Let a be (-3683)/(-55796) + (-1)/(-4). Let