*4 + 8*o**3 + 10 - w*o**2 + 128*o. Factor v(q).
-2*(q - 4)**3
Let j(n) be the first derivative of -6*n**2 - 21/2*n + 8 - 1/2*n**3. Factor j(w).
-3*(w + 1)*(w + 7)/2
Let q(s) be the third derivative of -s**5/180 + 13*s**4/18 - 32*s**3/3 - 1009*s**2. What is p in q(p) = 0?
4, 48
Let g be 7 + (-6)/(-6)*30. Suppose -11*j = -g*j + 52. Determine x so that 4/19 - 10/19*x - 6/19*x**j = 0.
-2, 1/3
Let j(c) be the third derivative of -c**6/30 + 8*c**5/5 + 17*c**4/2 + 52*c**3/3 - 2569*c**2. Find q, given that j(q) = 0.
-1, 26
Let p(z) = 28*z**3 - 22*z**2 - 72*z + 3. Let q(y) = 57*y**3 - 45*y**2 - 144*y + 3. Let l(i) = -9*p(i) + 5*q(i). Factor l(d).
3*(d - 2)*(d + 1)*(11*d + 2)
Let c(k) be the second derivative of -k**6/60 + 113*k**5/40 - 303*k**4/4 + 873*k**3 - 5130*k**2 + 9*k - 12. Suppose c(l) = 0. Calculate l.
6, 95
Suppose 13*r - l - 41 = 0, 35*r - 6*l = 31*r + 98. What is j in -729/4 - 1/4*j**r + 27/2*j = 0?
27
Let b = -197853 + 197855. What is p in -1/5*p**3 + 4/5*p + 0*p**b + 0 = 0?
-2, 0, 2
Let n(g) be the third derivative of 0*g + 1/2*g**3 - 92*g**2 + 0 + 1/160*g**6 + 3/8*g**4 - 1/448*g**8 + 11/80*g**5 - 3/280*g**7. Suppose n(d) = 0. Calculate d.
-2, -1, 2
Let q(m) = -m**3 - 3*m**2 + 20*m + 15. Let d be q(-6). Suppose -14*k**2 + 11*k**d + 2*k**2 + k**3 - 8*k**3 + 4*k**2 - 12*k = 0. What is k?
-1, 0, 3
Let z(b) be the first derivative of -b**6/24 + 3*b**5/5 + 15*b**4/4 + 16*b**3/3 - 716. Factor z(m).
-m**2*(m - 16)*(m + 2)**2/4
Let d(k) be the third derivative of -69*k**2 + 0*k**3 + 1/150*k**6 + 0*k**4 + 1/525*k**7 + 0 - 2/75*k**5 + 0*k - 1/1680*k**8. Factor d(y).
-y**2*(y - 2)**2*(y + 2)/5
Let q be 38/19 - (0 + -2 - -3). Let l(s) = -s**4 + s**3 + s**2 + s - 1. Let j(m) = -8*m**4 + 8*m**3 + 3*m**2 + 3*m - 3. Let h(n) = q*j(n) - 3*l(n). Factor h(d).
-5*d**3*(d - 1)
Let n = -2 - -4. Let v be n/2 - (-7 - (-9 - -4)). Factor -6*k - 11*k**v - 23*k**3 + 15*k**2 - 23*k**3 + 45*k**3 + 3*k**4.
3*k*(k - 2)*(k - 1)**2
Factor 0 + 1/10*m**4 + 39/10*m**2 - 27/10*m - 13/10*m**3.
m*(m - 9)*(m - 3)*(m - 1)/10
Let j be 436/327 - 7/6. Let r(d) be the second derivative of 0 + 0*d**3 + 14*d + j*d**4 + 0*d**2. Factor r(z).
2*z**2
Factor -4*l**3 + 560*l - 216*l**2 - 23*l**3 - 1492*l**2 + 34*l**3 + 5*l**3 + 1136.
4*(l - 142)*(l - 1)*(3*l + 2)
Let x(l) be the first derivative of 4*l**5/5 + 2*l**4 - 164*l**3/3 - 84*l**2 + 315. What is a in x(a) = 0?
-7, -1, 0, 6
Let p be (180/40*1/6)/((-20)/(-80)). Let 6/7*j**2 + 2/7*j**p + 0*j + 0 = 0. Calculate j.
-3, 0
Find y such that 1778*y**5 - 12*y - 591*y**5 - 594*y**5 + 12*y**2 - 11*y**4 - y**4 - 590*y**5 + 9*y**3 = 0.
-1, 0, 1, 2
Let x = -4996 - -4998. Let d(q) be the first derivative of 2/27*q**3 + 50/9*q + x - 10/9*q**2. Factor d(s).
2*(s - 5)**2/9
Suppose -8/3*j**2 + 16*j + 1/6*j**5 + 56/3 - 14/3*j**3 - 1/2*j**4 = 0. What is j?
-2, 2, 7
Let i(c) be the first derivative of -c**3/7 - 2433*c**2/14 + 4878*c/7 + 7301. Factor i(p).
-3*(p - 2)*(p + 813)/7
Factor -154 + 139*x**2 - 100*x**3 + 10 - 214*x**2 - 661*x**2 - 84*x**2 + 704*x.
-4*(x + 9)*(5*x - 2)**2
Let f(z) be the third derivative of z**7/1050 - 49*z**6/200 + 558*z**5/25 - 22103*z**4/30 - 2*z**2 - 39*z + 108. Factor f(g).
g*(g - 62)**2*(g - 23)/5
Let t = -39003/2 - -19502. Let f(q) be the first derivative of 1/3*q**6 - t*q**4 + 0*q + 34 + 0*q**2 + 4/5*q**5 - 4/3*q**3. Let f(h) = 0. Calculate h.
-2, -1, 0, 1
Let h be (20/(-6) + 0)/((-10)/(-60)). Let r = h + 23. Suppose -27*v**4 + 9*v**4 - r*v + 7*v**4 - 18*v**3 - 12*v**2 - v**4 - 3*v**5 = 0. What is v?
-1, 0
Let g(t) = 8*t - 167. Let w be g(20). Let v be 4/(-28) - 1/w. Factor -2/5*y**2 + 2/5*y**5 - 6/5*y**4 + 0 + v*y + 6/5*y**3.
2*y**2*(y - 1)**3/5
Factor -640/3 - 4/3*v**2 - 328/3*v.
-4*(v + 2)*(v + 80)/3
Let o(r) be the first derivative of -3*r**4/4 + 8*r**3 - 33*r**2/2 - 60*r - 250. Factor o(h).
-3*(h - 5)*(h - 4)*(h + 1)
Let o(c) = -16*c**3 - 95*c**2 - 60*c - 11. Let u(a) = 3*a**3 + 18*a**2 + 12*a + 2. Let l(q) = 10*o(q) + 55*u(q). Suppose l(d) = 0. What is d?
-6, -2, 0
Let j(i) = -i**2 + 2*i + 11. Let r be j(-2). Find g such that -54 - 27 - r*g**2 + 31*g - 67*g = 0.
-9, -3
Let x(n) = -17*n**2 + 4253*n - 903113. Let a(d) = 140*d**2 - 34025*d + 7224900. Let f(u) = -3*a(u) - 25*x(u). Solve f(v) = 0 for v.
425
Let r(f) be the second derivative of 4/3*f**3 + 9/2*f**2 - 1/12*f**4 - 44*f + 0. Factor r(x).
-(x - 9)*(x + 1)
Let p(g) be the third derivative of -g**7/105 + g**6/6 - 2*g**2 + 1126*g. Factor p(s).
-2*s**3*(s - 10)
Factor 2072*n + 0*n**2 + 2*n - 76*n + 1886*n - 4*n**2.
-4*n*(n - 971)
Let x(o) = -195*o + 784. Let m be x(4). Let f be ((-3)/(-6))/((-1)/(-32)). Factor -f*p**2 + 56*p - m*p**3 - 42 - 12*p + 18.
-4*(p - 1)**2*(p + 6)
Let j(h) be the first derivative of -h**4/4 - 181*h**3 - 73983*h**2/2 - 73441*h - 4602. Find b, given that j(b) = 0.
-271, -1
Let i(f) = 18*f + 3. Let c(a) = 17*a - 153. Let m be c(9). Let z be i(m). Factor -21/5*y**2 - 3/5*y**z - 24/5*y + 48/5.
-3*(y - 1)*(y + 4)**2/5
Let t(i) be the first derivative of -3/2*i**6 + 8*i**3 + 0*i**2 + 0*i - 111 - 27/2*i**4 - 51/5*i**5. Suppose t(k) = 0. Calculate k.
-4, -2, 0, 1/3
Let f = -1615794 - -1615799. Suppose 1221*y**3 + 2544*y**2 - 279*y**4 + 27/2*y**f + 363 - 4125/2*y = 0. What is y?
-2, 1/3, 11
Let x(v) be the third derivative of 0 + 7*v - 11/36*v**4 + 4*v**2 - 2/9*v**3 - 19/180*v**5 - 1/80*v**6. Suppose x(j) = 0. What is j?
-2, -2/9
Let t be 8 - 2 - (-1246)/(-210). Let j(m) be the first derivative of -2/5*m**2 + 4/5*m + t*m**3 + 1. Determine x, given that j(x) = 0.
2
Suppose 123*w = 64*w - 30444. Let c be 29/(-8) - w/129. Factor -c*s**5 + 0 + 0*s + 0*s**2 + 0*s**4 + 3/8*s**3.
-3*s**3*(s - 1)*(s + 1)/8
Factor -28*n + 1/2*n**4 + 71/2*n**2 - 8*n**3 + 0.
n*(n - 8)*(n - 7)*(n - 1)/2
Let -2/15*j**4 + 2/15*j**5 - 34/15*j**3 + 8/3 + 106/15*j**2 - 112/15*j = 0. What is j?
-5, 1, 2
Let u = 42595/8 + -5324. Let w(c) be the first derivative of 3*c + 3/4*c**2 - c**3 - u*c**4 + 10. Factor w(o).
-3*(o - 1)*(o + 1)*(o + 2)/2
Let s(t) be the first derivative of -t**4/6 - 16*t**3/3 - 28*t**2 - 46*t - 60. Let k(n) be the first derivative of s(n). Factor k(u).
-2*(u + 2)*(u + 14)
Suppose -6*l + 84 = l. Factor l*x**2 + 24*x - 25*x**2 + 28 + 9*x**2.
-4*(x - 7)*(x + 1)
Let f(p) be the second derivative of 15/2*p**3 + 1 - 11*p + 35/12*p**4 + 5*p**2. Find r such that f(r) = 0.
-1, -2/7
Let d(l) be the second derivative of -l**6/60 - 93*l**5/10 - 185*l**4/12 + 31*l**3 + 371*l**2/4 + 1323*l - 1. Solve d(v) = 0 for v.
-371, -1, 1
Let d = 1393 + -1389. Suppose d*j - 10 = -o - 18, 5*o - 3*j - 29 = 0. Factor 24/5*c - 4/5*c**2 - o.
-4*(c - 5)*(c - 1)/5
Let k = 115 - 67. Factor -k*g + 9*g + 3*g**3 + 15*g**2 + 56 - 35.
3*(g - 1)**2*(g + 7)
Factor 66*l**2 + 0 - 118/9*l**3 - 20/9*l.
-2*l*(l - 5)*(59*l - 2)/9
Suppose 78*t - 15*t = -147*t + 420. Let d(r) be the first derivative of 84/13*r**3 - 49/26*r**4 - 60/13*r**t + 16/13*r + 22. Factor d(j).
-2*(j - 2)*(7*j - 2)**2/13
Let q be (20818/1813 - 78/1443)/(2/2). Factor 32/7*o - 4/7*o**2 + q.
-4*(o - 10)*(o + 2)/7
Factor -2/9*v**2 + 530/9*v + 0.
-2*v*(v - 265)/9
Let u(x) = 13*x**4 + 3*x**3 - 13*x**2 + 17*x - 8. Let q(m) = 3*m**4 + m**3 - 2*m + 1. Let v(p) = -4*q(p) + u(p). Factor v(k).
(k - 3)*(k - 1)**2*(k + 4)
Let y(p) = -3*p**3 + 807*p**2 + 21. Let k(d) = -d**3 + 404*d**2 + 12. Let u(m) = -7*k(m) + 4*y(m). What is s in u(s) = 0?
0, 80
Let l(g) = g + 7 - 1 + 8. Let v be l(-11). Let o(q) = -6*q**3 - 6*q**2 + 9*q. Let k(i) = -i**4 + 6*i**3 + 5*i**2 - 8*i. Let b(a) = v*k(a) + 2*o(a). Factor b(c).
-3*c*(c - 2)*(c - 1)*(c + 1)
Suppose -c + 19 = -4*l, -c - 4*l - 7 = 6. Suppose -q - 2*q + 12 = -c*t, 0 = q + 2*t + 2. Solve -z - q*z**4 - z**2 + 3*z**4 + 5*z**3 - 4*z**3 = 0.
-1, 0, 1
Determine z, given that -25/4*z**2 - 1/4*z**3 - 143/4 - 167/4*z = 0.
-13, -11, -1
Factor -3/8*d**3 + 441/8 + 435/8*d**2 + 879/8*d.
-3*(d - 147)*(d + 1)**2/8
Let v be 48/128 + 27/(-72). Let i(h) be the first derivative of v*h**2 - 23 + 0*h + 1/28*h**4 - 1/21*h**3. Factor i(o).
o**2*(o - 1)/7
Let z(f) be the second derivative of -f**5/30 + 7*f**4/4 - 20*f**3/3 + 57*f**2 + 96*f. Let m(x) be the first derivative of z(x). Factor m(y).
-2*(y - 20)*(y - 1)
Let j(i) = i**2 - 12*i + 45. Let t be j(7). Factor 25 - 2*s**3 - 3*s**3 + t*s - 25 + 5*s**2.
-5*s*(s - 2)*(s + 1)
Facto