v**3/6 + 81*v**2/10 - 10*v + 93. Factor k(c).
(c + 1)**4*(c + 81)/5
Let z(x) = -220*x**3 - 9485*x**2 + 7070*x + 25805. Let r(i) = 13*i**3 + 558*i**2 - 416*i - 1518. Let q(s) = -35*r(s) - 2*z(s). Factor q(n).
-5*(n - 2)*(n + 38)*(3*n + 4)
Let l(y) be the second derivative of -2*y**3/3 + 48*y**2 - 2*y. Let h be l(0). Factor h + b**2 + 96 + 4*b**2 + 70*b + 53.
5*(b + 7)**2
Suppose 5*q - 7*y = -4*y + 23, -7 = -2*q - y. Factor -11*r + r**3 + 16*r + q*r**2 + 1 + 1.
(r + 1)**2*(r + 2)
Let h = -1007 + 1015. Let g be 11/18 - h/72. Determine k so that g - 1/4*k**3 - 1/2*k**2 + 1/4*k = 0.
-2, -1, 1
Let i be (628/(-12))/((-12)/(-36)). Let b = i - -359/2. Solve 3/2*f**3 + b*f + 27/2*f**2 - 75/2 = 0.
-5, 1
Let l(i) be the first derivative of i**6/6 - 6899*i**5/5 + 7934999*i**4/2 - 12182856202*i**3/3 + 24318130001*i**2/2 - 12151136899*i - 8488. Factor l(j).
(j - 2299)**3*(j - 1)**2
Let a(i) be the third derivative of -i**9/3780 - i**8/1680 + i**4/12 + 5*i**3/3 + 54*i**2 - i. Let j(z) be the second derivative of a(z). Factor j(f).
-4*f**3*(f + 1)
Let c(u) be the first derivative of u**5/10 - u**4 + 5*u**3/3 + 43*u - 29. Let s(p) be the first derivative of c(p). Determine o, given that s(o) = 0.
0, 1, 5
Let r(w) = 12*w + 24. Let a be r(-1). Solve 23 - 154*u + a + 200*u**4 - 64*u**3 + 25 + 0*u**5 + 232*u**3 - 260*u**2 - 14*u**5 = 0.
-1, 2/7, 1, 15
Let v be ((-55)/(-33))/(10/492). Find n, given that v*n + n**2 - 1 + 14 - 68*n = 0.
-13, -1
Let x = 384 - -16. Solve 0*p**3 - 5*p**3 + 12 + 599 - 111 - 95*p**2 - x*p = 0.
-10, 1
Let h(r) be the second derivative of -360*r**3 - 705/2*r**4 - 108*r**2 + 16 + r + 575/2*r**5 - 209/3*r**6 + 121/21*r**7. Solve h(x) = 0 for x.
-2/11, 3
Let l be ((-105)/140)/((-6)/32). Solve 17447*o**4 + 6*o**5 - 3*o**5 - 17438*o**l - 12*o**2 = 0 for o.
-2, 0, 1
Let k(r) be the third derivative of r**7/735 + 53*r**6/420 + 2*r**5 + 269*r**4/21 + 880*r**3/21 + 2*r**2 - 3*r - 236. Determine b so that k(b) = 0.
-44, -5, -2
Determine t so that 14*t**3 + 15*t**3 + 180*t**2 + 367 - 1501 - 951*t - 32*t**3 = 0.
-1, 7, 54
Let -72*x**3 + 21*x**4 + 300 - 18*x**4 + 212*x + 216*x - 140*x - 87*x**2 = 0. Calculate x.
-2, -1, 2, 25
Suppose -8*b + 16 = -2*y, -3*y = 24*b - 19*b - 10. Factor 2/9*w**2 + y - 4/9*w.
2*w*(w - 2)/9
Let n(h) = h**2 + h + 1. Suppose 17*a + 134 = -240. Let l = a - -21. Let k(m) = 2*m**2 - 19*m - 43. Let p(u) = l*k(u) + 5*n(u). Suppose p(d) = 0. What is d?
-4
Let j be (-345)/368*2112/(-240). Factor -27/4*z**3 + 9*z**2 + 3/2 + j*z.
-3*(z - 2)*(3*z + 1)**2/4
Let z(b) be the second derivative of b**4/8 + 245*b**3 + 180075*b**2 - 224*b. Determine i so that z(i) = 0.
-490
Let s(z) = -434*z**3 + 860*z**3 - 427*z**3. Let r(a) = 6*a**3 - 6*a**2 - 15*a + 18. Let i(y) = r(y) + 3*s(y). Factor i(j).
3*(j - 3)*(j - 1)*(j + 2)
Find h, given that 2*h**3 - 1195*h**2 + 1175*h**2 - 14 + 54*h + 4 - 20 - 6 = 0.
1, 3, 6
Let u be (-16)/(-4) - (682/(-31))/(-22). Solve 0*m - 1/3*m**2 + 1/3*m**u + 0 = 0.
0, 1
Let w(i) = -2 + 19*i**2 + 11*i**3 - 5*i**3 + 8*i - 12*i**2 + 3*i**3. Let a(r) = -3*r**3 + r**2 - r + 1. Let u(d) = -2*a(d) - w(d). Find z such that u(z) = 0.
-2, -1, 0
Let p(x) be the second derivative of -20/9*x**2 - x + 47 + 1/54*x**4 - 19/27*x**3. Factor p(m).
2*(m - 20)*(m + 1)/9
Factor -6363*i + 16500 + 22883*i + 3396*i**2 - 2329*i**2 + 5*i**3 + 3078*i**2.
5*(i + 2)**2*(i + 825)
Suppose -3*g = 3*y - 27, 2*y + 67 = g + 64. Let k(j) be the first derivative of 35 - 10/3*j + 1/6*j**4 - 14/9*j**3 + 11/3*j**y. Factor k(z).
2*(z - 5)*(z - 1)**2/3
Let k = -73/53 - -1683/106. Let v(u) be the first derivative of -7*u**3 - u**4 - 6*u + 1 - k*u**2. Factor v(o).
-(o + 2)*(o + 3)*(4*o + 1)
Let k(q) be the second derivative of 7/4*q**5 - 5/3*q**3 + 25/12*q**4 + 0 - 65*q + 0*q**2. Solve k(y) = 0.
-1, 0, 2/7
Let d(r) be the third derivative of r**6/24 - 61*r**5/12 - 15*r**4/8 + 915*r**3/2 + 7555*r**2. Let d(z) = 0. What is z?
-3, 3, 61
Let g(s) be the third derivative of -s**8/84 + 4*s**7/21 - 7*s**6/6 + 10*s**5/3 - 4*s**4 - 309*s**2. Find i, given that g(i) = 0.
0, 1, 2, 3, 4
Let h = 128312 + -128309. Factor -8/9 + 32/9*f + 38/9*f**h - 50/9*f**2 - 14/9*f**4 + 2/9*f**5.
2*(f - 2)**2*(f - 1)**3/9
Let y(r) = -15*r**3 - 111*r**2 + 30*r + 9. Suppose 3 + 4 = 7*g. Let c(b) = b**2 - b - 1. Let u(v) = g*y(v) + 9*c(v). Suppose u(x) = 0. Calculate x.
-7, 0, 1/5
Let v(j) = j**3 + 11*j**2 - 6*j - 63. Let h be v(-10). Factor -9*f**2 - h - 6*f**2 + f + 5*f**3 - 43 - 121*f.
5*(f - 7)*(f + 2)**2
Let r(u) be the third derivative of -109*u**5/5 - 329*u**4/6 - 4*u**3/3 - 16*u**2 + 38*u. Determine g so that r(g) = 0.
-1, -2/327
Let p = -1871 - -1910. Suppose p*y = 48*y. Factor 4/25*d**4 + 0*d + y*d**2 + 2/25*d**5 + 0 + 0*d**3.
2*d**4*(d + 2)/25
Let z be 12/2*((-275)/198 + 9/6). Let a(i) be the first derivative of 1/9*i**3 + z*i**2 + i + 7. Factor a(g).
(g + 1)*(g + 3)/3
Let y(a) be the third derivative of -a**5/390 + 71*a**4/52 + 430*a**3/39 + 30*a**2 - 15*a + 1. Factor y(c).
-2*(c - 215)*(c + 2)/13
Solve -418335/2 + 835*a - 5/6*a**2 = 0 for a.
501
Suppose l + 3*s = 56 - 21, 4*s = 3*l - 40. Factor -5*d**3 + l + 423*d - 80 - 523*d - 45*d**2.
-5*(d + 1)*(d + 2)*(d + 6)
Let x(g) = g**3 - 2*g**2. Let n(y) = -y**3 - 65*y**2 - 140*y + 68. Suppose 6*f - 32 - 4 = 0. Let k(c) = f*x(c) + n(c). Determine h so that k(h) = 0.
-2, 2/5, 17
Suppose -10 = -8*c + 6*c. Let n(p) = -19*p + 97. Let i be n(c). Determine t so that 4/5*t**i - 4/5*t + 0 = 0.
0, 1
Let v(k) be the third derivative of -k**7/1890 - k**6/135 - k**5/30 + 4*k**4/3 - k**2 - 2. Let x(o) be the second derivative of v(o). Solve x(h) = 0.
-3, -1
Let m(u) be the third derivative of 0*u**3 - 1/120*u**6 + 0*u**4 - 1/140*u**7 - 1/672*u**8 + 0*u**5 + 0 - 3*u - u**2. Find s, given that m(s) = 0.
-2, -1, 0
Let v(n) = -n**3 + 5*n**2 + 8*n - 10. Suppose -4*y + 20 = 0, -f = -y - 5 + 4. Let d be v(f). Let 12 + 5*b**2 + 2*b**3 + d*b**2 + 2*b - 15*b**2 = 0. What is b?
-1, 2, 3
Let n be ((-8)/4 - -3)/(-1)*-3. Factor -21*v - 24*v - n*v**3 + 45*v + 18*v**2 - 15*v.
-3*v*(v - 5)*(v - 1)
Let r(o) be the third derivative of -o**9/15120 + o**8/720 - o**7/210 - o**5/60 + 38*o**2. Let y(q) be the third derivative of r(q). What is j in y(j) = 0?
0, 1, 6
Let q be (-48)/8 + 10 + 0 + 0. Suppose 7*a**2 - 5*a**3 + 14*a**2 - 6*a**2 - 5*a**q - 10 - 22652*a + 22657*a = 0. What is a?
-2, -1, 1
Solve -15/4*r**5 + 885/4*r**3 + 65/2*r + 0 + 699/4*r**2 - 131/4*r**4 = 0 for r.
-13, -2/5, -1/3, 0, 5
Let f(l) = 10*l**4 - 235*l**3 - 35*l**2 - 35*l + 70. Let i(b) = 26 - 4*b - 8*b**4 - 18 + 9*b**4 - 4*b**2 - 26*b**3. Let s(x) = -4*f(x) + 35*i(x). Factor s(p).
-5*p**3*(p - 6)
Suppose -4*m + 123 - 111 = 0. Factor 5*a**2 - 13*a**m + 35*a**3 - 27*a**3.
-5*a**2*(a - 1)
Let -3/5*q**4 + 324/5 - 243/5*q + 3*q**3 + 27/5*q**2 = 0. What is q?
-4, 3
Determine k, given that 2470 - 924*k + 6350 - 148*k**2 + 2991079*k**3 - 2991083*k**3 = 0.
-21, 5
Factor 7*s**2 - 70 + 7*s**2 - 41*s - 155 - 13*s**2 - 225.
(s - 50)*(s + 9)
Factor 119*t - 289/3*t**2 + 25*t**3 - 1/3*t**4 - 142/3.
-(t - 71)*(t - 2)*(t - 1)**2/3
Determine c, given that 27*c**3 + 200 - 320*c - 111*c**5 + 100 - 79*c**5 - 11*c**4 + 191*c**5 + 67*c**2 = 0.
-3, 2, 5
Let p be (3/(-4))/((-75)/300). Let o(t) be the third derivative of -3/4*t**5 + 0 + 11/8*t**4 - 13*t**2 - t**p + 0*t. Factor o(y).
-3*(3*y - 1)*(5*y - 2)
Let o be (-121)/(121/(-36)) - 21. Factor 20 + 5/2*u**3 + 30*u + o*u**2.
5*(u + 2)**3/2
Let t be (-300)/550 + (-24)/(-44). Let d(m) be the first derivative of -6/5*m**5 + 3/4*m**4 - 9 + 0*m**3 + t*m + 0*m**2 + 1/2*m**6. Factor d(w).
3*w**3*(w - 1)**2
Factor -548 + 2970*y - 1483*y + 4*y**2 - 1483*y - 180.
4*(y - 13)*(y + 14)
Suppose -5*i - 78 = -2*l, i - 2 - 110 = -4*l. Suppose -20*x + 18*x + 64 + 26*x - 33*x**2 + l*x**2 = 0. What is x?
-2, 8
Let p = 4281/1244 - 215/311. Solve l + 0 + 15/4*l**4 - p*l**3 - 2*l**2 = 0 for l.
-2/3, 0, 2/5, 1
Determine f, given that -390 + 1177 + 26*f**4 + 22*f**2 - 8*f**5 - 389 + 66*f**3 - 398 - 10*f = 0.
-1, 0, 1/4, 5
Suppose 2*y - 30 = -r, -109479*y = 10*r - 109484*y + 50. Factor -2*p - 1/2*p**3 + 0 - 2*p**r.
-p*(p + 2)**2/2
Let 242*x + 7*x**2 + 488*x + 9*x**2 - x + 726 - 13*x**2 = 0. Calculate x.
-242, -1
Let j(x) be the third derivative of -x**8/10080 - x**7/630 + 41*x**5/20 - 99*x**2 - 1. Let q