**5 + 1/60*a**6 + 0. Factor u(x).
(x + 1)**2*(2*x + 1)
Let p(c) = -c**2 + 4*c + 24. Let o be p(7). Factor -61*l**2 + 29*l**2 + 30*l**2 - 2*l**o + 0*l**3.
-2*l**2*(l + 1)
Let s(u) be the first derivative of 0*u**2 - 5/6*u**6 + 0*u**4 + 0*u + 0*u**3 - 4*u**5 + 192. Find m such that s(m) = 0.
-4, 0
Let v = 462 - 462. Let a be v + ((-30)/(-20))/(30/4). Find c such that 0 + 0*c + a*c**2 + 2/5*c**3 = 0.
-1/2, 0
Let v(j) = 34*j. Suppose o = -2*a + a - 4, -4*a = -4*o - 16. Let y be v(a). Let y*q - 1/2*q**5 + 1/2*q**3 + 0 + 1/5*q**2 - 1/5*q**4 = 0. Calculate q.
-1, -2/5, 0, 1
Let u = -104658/5 + 21205. Let o = 1371/5 - u. Find j such that 0*j - o*j**2 + 16/5 = 0.
-2, 2
Determine b so that 14791*b - 2*b**4 - 864*b**2 - 5868*b + 78*b**3 - 6979*b = 0.
0, 3, 18
Let a(s) = s**2 - 4*s - 1. Let h be a(0). Let x(t) = -5*t**5 + 8*t**3 - 7*t**2 - 3*t + 4. Let w(d) = -d**5 - d**2 + d. Let b(y) = h*x(y) + 3*w(y). Factor b(z).
2*(z - 1)**3*(z + 1)*(z + 2)
Let z be -6 + 13 + (-410)/66. Let b = z + 25/66. What is s in 1/3 + b*s + s**2 = 0?
-2/3, -1/2
Let c(t) = 2*t**3 + 4*t**2 + 6*t - 1. Let b be c(9). Let z be 1838 + -4 - (-1 - 0). Factor 3*u**2 + z*u - 12 - b*u.
3*(u - 2)*(u + 2)
Let r = -1537 - -1542. Let a(c) be the third derivative of 0*c**6 - 1/9*c**3 - 2/27*c**4 + 0*c - 1/45*c**r + 0 - 3*c**2 + 1/945*c**7. Let a(d) = 0. What is d?
-1, 3
Let d(a) be the second derivative of 5*a**4/36 + 140*a**3/9 + 6960*a. Solve d(w) = 0 for w.
-56, 0
Let h(n) be the first derivative of 34/3*n**2 + 31 + 2/9*n**3 + 578/3*n. Factor h(v).
2*(v + 17)**2/3
Let d = 205336 - 205333. Suppose 50/23*i + 2/23*i**d + 20/23*i**2 + 0 = 0. What is i?
-5, 0
Let u be (393/(-84) - -5) + (10/(-5))/28. Let j = -71/36 + 20/9. Suppose u*g**3 - 1/4 - 1/4*g + j*g**2 = 0. What is g?
-1, 1
Suppose -2232*l + 2242*l = 0. Suppose -5*w - 63*w = l. Factor w*v - 2/3*v**4 - 6*v**3 + 0*v**2 + 0.
-2*v**3*(v + 9)/3
Let m(t) be the second derivative of 3*t**5/10 + 95*t**4/42 - 7*t**3/3 + 5*t**2/7 - 8*t + 6. Solve m(z) = 0 for z.
-5, 1/7, 1/3
Let u(y) be the third derivative of y**4/12 - 69*y**2. Let a(m) = -2*m**2 - 52*m - 128. Let o(b) = a(b) + 10*u(b). Factor o(r).
-2*(r + 8)**2
Factor 1/4*n**2 + 6 + 7/2*n.
(n + 2)*(n + 12)/4
Let a be (6004/60)/19 + -3 + 240/72. Determine q so that 2/5*q**2 + a - 18/5*q = 0.
2, 7
Let c(j) be the third derivative of -5*j**8/336 + j**7/7 + 2*j**2 - 123. Factor c(g).
-5*g**4*(g - 6)
Factor -207*l**3 - 12679056*l**4 + 459*l - 39*l - 216*l**2 + 12679059*l**4.
3*l*(l - 70)*(l - 1)*(l + 2)
Let c(n) be the second derivative of -n**5/30 - 13*n**4/9 + 125*n**3/9 + 50*n**2 + 369*n. Factor c(m).
-2*(m - 5)*(m + 1)*(m + 30)/3
Let x be -25 + -2 + (-182556)/(-6732). Factor -x*p**2 - 2 + 36/17*p.
-2*(p - 17)*(p - 1)/17
Let u(g) be the first derivative of 16 - 2/3*g**3 + 8*g**2 + 23*g + 1/48*g**4. Let h(v) be the first derivative of u(v). Determine z so that h(z) = 0.
8
Let i be -6*4/(-6) - 1. Let f(w) = 11*w**2 - i*w**2 - 4*w**2 + w - 10 + 3*w. Let j(z) = 13*z**2 + 11*z - 31. Let c(q) = -7*f(q) + 2*j(q). Factor c(d).
-2*(d - 1)*(d + 4)
Let z = 5 + 1. Let n be -5 - 36/8*-6. Determine u, given that -6*u + n*u**3 - 10*u + 2*u**4 - 7*u**5 - 8 + u**5 + z*u**2 = 0.
-1, -2/3, 1, 2
Let d(h) be the third derivative of h**8/24 + 781*h**7/525 + 5437*h**6/300 + 10163*h**5/150 - 753*h**4/5 + 108*h**3 - 33*h**2 + 16*h + 1. What is c in d(c) = 0?
-9, -5, 2/7, 2/5
Let 1/5*r**3 + 123/5*r + 18 + 34/5*r**2 = 0. Calculate r.
-30, -3, -1
Let x(r) be the second derivative of 2*r**7/21 - 86*r**6/15 + 343*r**5/5 + 849*r**4 + 2592*r**3 + 3456*r**2 - 1231*r. Suppose x(k) = 0. Calculate k.
-3, -1, 24
Suppose 4*a = 5*v + 27, 0*v + 5*v + 21 = 2*a. Let -32*n**2 + 10*n**a + 295 - 223 - 14*n**3 + 44*n = 0. What is n?
-9, -1, 2
Suppose 3*g + g - 6072 = 0. Factor n**5 + n + 3*n**2 - 3*n**2 - g + 1518 - 2*n**3.
n*(n - 1)**2*(n + 1)**2
Let z = -4358 - -4363. Let r(v) be the first derivative of -14 + 0*v - 1/24*v**6 + 1/10*v**z + 1/8*v**2 - 1/6*v**3 + 0*v**4. Factor r(u).
-u*(u - 1)**3*(u + 1)/4
Let b(t) be the first derivative of -t**4/12 + 104*t**3/9 - 202*t**2/3 + 400*t/3 + 121. What is d in b(d) = 0?
2, 100
Determine c so that -986 - 105*c + 8*c**2 + 154 - 3*c**2 + 182 = 0.
-5, 26
Let y be -6*4/54 + (-560)/(-45). Let j be (-20)/(-4) + -5 + y/8. Solve -4 + j*k**2 - 5*k = 0 for k.
-2/3, 4
Let z = -6 - -9. Suppose -f - 3 = -5*d, 2*d - z*d + 1 = 0. Solve -11*t + 5 + 7*t + t**f - 1 = 0.
2
Suppose -12*m + 26 = 5*r - 14*m, -5*r + m + 23 = 0. Let f be r*((-92)/32 + 3). Factor -f*q**2 + 3/2 + q.
-(q - 3)*(q + 1)/2
Suppose -11*y + 2*s + 46 = 0, 3*s = -152*y + 156*y - 44. Determine f, given that 14/3*f**y + 2/3*f**4 - 10/3*f**3 + 0 - 2*f = 0.
0, 1, 3
Let o = 29 - 26. Suppose 0 = o*b - 5*g - 24, -27 = 2*b - 6*b + 5*g. Factor -5 + 0*c**3 - 8*c**3 - 3*c - 7*c**b + 5*c**2 + 18*c.
-5*(c - 1)*(c + 1)*(3*c - 1)
Let j(b) be the first derivative of b**6/30 + 12*b**5/25 + 29*b**4/20 + 6*b**3/5 + 11413. Determine u so that j(u) = 0.
-9, -2, -1, 0
Let b(t) be the third derivative of -t**7/210 + 7*t**6/90 - 22*t**3/3 + 54*t**2. Let h(f) be the first derivative of b(f). Factor h(g).
-4*g**2*(g - 7)
Let k(x) = x**2 - 8*x + 9. Suppose -14*v + 56 = -6*v. Let t be k(v). Suppose -r + 3*r + 6*r**2 - 4*r**t = 0. Calculate r.
-1, 0
What is k in 0 - 105/2*k - 6*k**3 + 9/4*k**4 - 639/4*k**2 = 0?
-7, -1/3, 0, 10
Let t(n) be the first derivative of -4*n**5/5 + 17*n**4/3 - 40*n**3/3 + 8*n**2 - 213*n + 240. Let r(g) be the first derivative of t(g). Factor r(o).
-4*(o - 2)**2*(4*o - 1)
Let c be 0*((-6)/30 + (-12)/15). Let r = 627/1256 + 1/1256. Factor 1/2*q + c + r*q**2.
q*(q + 1)/2
Suppose -54*b**2 + 67*b**2 - 88*b - 15*b**2 - 968 = 0. Calculate b.
-22
Let t(d) = -d**2 + d + 1. Let v = -305 - -311. Let q(z) = -z**2 + 6*z + 1. Let p(m) = v*t(m) - q(m). Factor p(l).
-5*(l - 1)*(l + 1)
Let n(c) = -29*c**2 + 12*c + 527. Let p(f) = 7*f**2 - 3*f - 130. Let h(l) = -6*n(l) - 25*p(l). Find j, given that h(j) = 0.
-8, 11
Let j be 122/5 - (49 - 26). Suppose -16*v**2 + 19/5*v**4 + 16/5 - 32/5*v + j*v**5 - 4*v**3 = 0. Calculate v.
-2, -1, 2/7, 2
Let r(a) be the first derivative of 5*a**3/3 - 1300*a**2 + 338000*a + 3762. Factor r(h).
5*(h - 260)**2
Let b(s) be the second derivative of 2*s**6/5 + 64*s**5/5 + 211*s**4/3 - 340*s**3/3 - 1800*s. Factor b(g).
4*g*(g + 5)*(g + 17)*(3*g - 2)
Let d(w) be the third derivative of -w**5/270 - w**4/54 + 32*w**3/3 + 983*w**2. Factor d(p).
-2*(p - 16)*(p + 18)/9
Let z(t) be the third derivative of t**5/480 - 191*t**4/48 + 36481*t**3/12 - 1334*t**2. Suppose z(k) = 0. What is k?
382
Let n(p) be the first derivative of p**4/2 - 46*p**3/3 + 62*p**2 - 80*p + 724. Factor n(o).
2*(o - 20)*(o - 2)*(o - 1)
Let b(p) = -49*p + 12. Let f be b(0). Let z be -5 + 15 + (4 - f). Suppose -2/5 - 6/5*a - 2/5*a**3 - 6/5*a**z = 0. What is a?
-1
Let r(i) be the third derivative of -25*i**8/336 - 13*i**7/42 + 29*i**6/24 + 121*i**5/12 + 25*i**4 + 30*i**3 - 3009*i**2 - 2. Find m, given that r(m) = 0.
-2, -1, -3/5, 3
Let q = -541 - -551. Suppose -4*b - 4*v + 21 = -7, -q = -2*v. Let 2/13*y**3 - 8/13 + 8/13*y**b - 2/13*y = 0. Calculate y.
-4, -1, 1
Let l(f) = -15*f + 150. Suppose 35*m + 3*c = 38*m - 18, 0 = 3*m - 2*c - 22. Let a be l(m). Factor a*y**2 + 0*y + 2/9*y**3 + 0.
2*y**3/9
Let l(p) = 4*p**2 - 150*p + 354. Let x be l(35). Let o(r) be the second derivative of -3/40*r**5 + x*r + 1/2*r**3 - 1/8*r**4 + 0*r**2 + 0. Factor o(g).
-3*g*(g - 1)*(g + 2)/2
Let i be 6/(-4) - (-37202)/44. Let o = i - 842. Factor 5/2*m**3 + 5/6*m**4 + 5/3*m**o + 0*m + 0.
5*m**2*(m + 1)*(m + 2)/6
Let z(s) be the second derivative of -9*s**5/4 + 5735*s**4/2 - 22925*s**3/6 + 1910*s**2 - 1738*s + 2. Let z(y) = 0. Calculate y.
1/3, 764
Let b(s) be the third derivative of s**5/210 + 37*s**4/6 - 6812*s**2. What is v in b(v) = 0?
-518, 0
Suppose -16*s - 26 - 6 = 0. Let p be (s/(-6))/((171/54)/19). Factor -p*h**4 + h**5 + 7 + 9 - 3*h**4 + 2*h**2 - 5*h**3 + 23*h**2 + 40*h.
(h - 4)**2*(h + 1)**3
Let n(x) be the first derivative of 5*x**6/36 + 13*x**5/6 + 215*x**4/24 + 95*x**3/18 - 55*x**2/3 - 80*x/3 - 1940. Let n(l) = 0. What is l?
-8, -4, -1, 1
Suppose 2*s - 6 = 3*h - 3, -2*s - 21 = 5*h. Let p(r) = -3*r - 5. Let y be p(s). Find k, given that -3*k**4 - 17*k**3 - 3*k**2 + 0*k**y + 11*k**3 = 0.
-1, 0
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