 6. Let t(c) = 5*m(c) - 6*s(c). Let t(a) = 0. What is a?
-4, -1, 0, 6
Let b(w) be the second derivative of w**7/105 + w**6/36 - w**5/10 + w**3 + 9*w**2/2 - 46*w - 2. Let a(v) be the second derivative of b(v). Factor a(j).
2*j*(j + 2)*(4*j - 3)
Suppose -935*s + 2454*s = 0. Determine w, given that s - 4/7*w**4 - 88/7*w**3 - 484/7*w**2 + 0*w = 0.
-11, 0
Factor -157*h - 209/2 - 3/8*h**2.
-(h + 418)*(3*h + 2)/8
Let v(a) be the third derivative of -a**2 + 0 + 36*a + 1/60*a**6 - 1/30*a**5 - 5/6*a**4 - 8/3*a**3. Factor v(u).
2*(u - 4)*(u + 1)*(u + 2)
Let j(l) = -949*l + 3799. Let y be j(4). Factor 0*u - 4/7 + 1/7*u**y + 3/7*u**2.
(u - 1)*(u + 2)**2/7
Factor -327*x - 108*x + 373 + 59 + 663811*x**2 - 663808*x**2.
3*(x - 144)*(x - 1)
Let k(r) be the first derivative of 44/3*r**3 - 16*r**2 - 80*r - r**4 + 166. Determine d, given that k(d) = 0.
-1, 2, 10
Let t(s) be the second derivative of -s**5/4 + 65*s**4/12 + 335*s**3/3 + 300*s**2 + 82*s - 13. Determine z, given that t(z) = 0.
-6, -1, 20
Let r(p) be the first derivative of -p**6/3 + 24*p**5/5 + 31*p**4/2 - 28*p**3 + 4050. Solve r(m) = 0.
-3, 0, 1, 14
Let x = -3662/69849 + 11/199. Let i = 116/351 + x. Find l, given that 0*l + i*l**3 + 4/3 - l**2 = 0.
-1, 2
Suppose -17313*m + 8435*m + 8086*m - 75*m**2 + 3*m**3 = 0. Calculate m.
-8, 0, 33
Suppose 4*i + 8 = -4*f, 0 = f - 4*f - 2*i - 2. Let n be 54/45*(-40)/(-24) - -1. Solve 140/9*p + 4/9*p**n + 44/9*p**f + 100/9 = 0.
-5, -1
Let c = 71 + -68. Factor -23*s**2 + 19*s**2 + 32*s**2 - 4*s**c.
-4*s**2*(s - 7)
Let m(j) be the third derivative of -j**5/80 + 51*j**4/8 - 4*j**2 + 68. Let m(v) = 0. What is v?
0, 204
Let p(d) = 9*d**2 - 3*d - 16. Let g be p(-4). Factor -5*b**4 + b**3 + 74*b**3 - 141 + 105*b + 631 - g*b**2 - 165*b**2.
-5*(b - 7)**2*(b - 2)*(b + 1)
Factor 304*p + 2/5*p**3 + 386/5*p**2 + 1512/5.
2*(p + 2)**2*(p + 189)/5
Let c = 1359/1340 + -245/268. Let y(r) be the third derivative of -1/2*r**4 - 6*r**2 + 4*r**3 + 2 - c*r**5 + 1/40*r**6 + 0*r. Factor y(m).
3*(m - 2)**2*(m + 2)
Let g(k) be the first derivative of k**8/84 - 16*k**7/105 - 3*k**6/10 - 15*k**2 + 190. Let u(x) be the second derivative of g(x). Let u(h) = 0. What is h?
-1, 0, 9
Let n(o) be the third derivative of o**5/120 - 743*o**4/48 + 371*o**3/6 - 15*o**2. Solve n(m) = 0.
1, 742
Let r = -20649/2 - -10325. Solve -4 - 7/2*m**2 - 7*m - r*m**3 = 0.
-4, -2, -1
Suppose 2*o - 3*k - 69 = -2*o, -4*o + 2*k + 74 = 0. Let 29*j**2 + 5*j**2 + o*j**2 - 20*j = 0. What is j?
0, 4/11
Suppose -59*x = 44*x - 4*x - 7*x. Let d(a) be the second derivative of -1/100*a**5 + 10*a - 7/60*a**4 - 11/30*a**3 + x - 1/2*a**2. Factor d(w).
-(w + 1)**2*(w + 5)/5
Let m(i) be the first derivative of i**6/480 + 3*i**5/80 + i**4/12 + 5*i**2/2 - i + 78. Let d(x) be the second derivative of m(x). Factor d(c).
c*(c + 1)*(c + 8)/4
Let f(b) be the first derivative of -14*b**4 - 21964*b**3/3 + 8642*b**2 - 3144*b + 547. Determine u so that f(u) = 0.
-393, 2/7, 1/2
Suppose 3*t - 172*i = -185*i + 137, 0 = 2*t - 4*i - 332. Factor -32/5*q + 22/5*q**2 - t + 2/5*q**3.
2*(q - 5)*(q + 8)**2/5
Let x = 5713 - 5707. Let z(j) be the third derivative of 2/3*j**3 - 31/240*j**5 - 8*j**2 + 0 + 7/12*j**4 + 1/120*j**x + 0*j. Find v such that z(v) = 0.
-1/4, 4
Let p(q) be the second derivative of q**5/100 - 3*q**4/20 + 9*q**3/10 - 33*q**2 + 80*q. Let i(n) be the first derivative of p(n). Factor i(z).
3*(z - 3)**2/5
Let h(q) be the first derivative of 0*q + 3/4*q**4 - 28*q**3 + 6 + 294*q**2. Factor h(p).
3*p*(p - 14)**2
Let w(b) = b**3 + b**2 - 3*b. Let y(o) = 2*o**3 + 106*o**2 - 208*o. Let j(r) = 4*w(r) - y(r). Suppose j(g) = 0. What is g?
0, 2, 49
Let y(u) = u**4 - u**2 + 1. Let c(d) = 20*d**4 - 32*d**3 - 278*d**2 - 256*d + 102. Let r(q) = c(q) - 6*y(q). Factor r(v).
2*(v - 6)*(v + 2)**2*(7*v - 2)
Let h(u) be the second derivative of -u**5/150 - 13*u**4/60 - 22*u**3/15 - 66*u**2 - 2*u + 200. Let z(j) be the first derivative of h(j). Factor z(x).
-2*(x + 2)*(x + 11)/5
Let f(h) be the third derivative of 8*h**7/105 + 3*h**6/2 + 83*h**5/15 + 3*h**4 - 327*h**2. Factor f(i).
4*i*(i + 2)*(i + 9)*(4*i + 1)
Let h(d) be the third derivative of 269*d**2 + 28/15*d**5 - 1/315*d**7 + 0 + 2/15*d**6 + 88/9*d**4 + 80/3*d**3 + 0*d. Solve h(t) = 0.
-2, 30
Suppose -237*p + 5*q - 35 = -242*p, 0 = 4*q - 12. Let u(m) be the first derivative of -3/4*m**p + 0*m**2 + 3/10*m**5 + 11 + 1/2*m**3 + 0*m. Factor u(g).
3*g**2*(g - 1)**2/2
Let c = 657277/3 + -219083. Factor -38*g - c - 8/3*g**2.
-2*(g + 14)*(4*g + 1)/3
Let m(d) be the third derivative of -2/39*d**3 - 1/390*d**5 + 0*d + 1/52*d**4 + 94*d**2 + 0. Let m(f) = 0. Calculate f.
1, 2
Suppose 28*l - 47*l = 20*l + 13*l. What is c in 0*c + l - 2/11*c**5 - 4/11*c**3 + 6/11*c**4 + 0*c**2 = 0?
0, 1, 2
Let u(a) = -16*a + 77 + 7 + 9 + 22. Let b be u(7). Factor 1/5*q**b + 3/5*q**2 - 3/5 - 1/5*q.
(q - 1)*(q + 1)*(q + 3)/5
Let p(i) be the third derivative of -i**6/30 + 36*i**5/5 + 331*i**4/6 + 148*i**3 + 6*i**2 + 44. Factor p(b).
-4*(b - 111)*(b + 1)*(b + 2)
Suppose -54*r + 220 = 56*r. Let y(n) be the second derivative of 0 + 1/12*n**4 + 8*n**r + 4/3*n**3 + 7*n. Factor y(x).
(x + 4)**2
Let j = 60757/5 - 12151. Find v such that 0*v - 2/5*v**2 + 0 + j*v**4 + 0*v**3 = 0.
-1, 0, 1
Let r(c) = 4*c**2 + 47*c - 10. Let z be r(-12). Let w(a) = a**2 + 9*a - 5. Let u be w(-10). Factor 20*y**3 - 2*y**u + 16*y**z + 8*y - 2*y**3 - 38*y**2 - 2*y**4.
-2*y*(y - 1)**3*(y + 4)
Let o(q) = -120*q**3 - 225*q**2 + 3895*q - 17755. Let v(h) = 11*h**3 + 21*h**2 - 354*h + 1614. Let k(r) = 6*o(r) + 65*v(r). Suppose k(a) = 0. What is a?
-9, 6
Let b(t) be the first derivative of 5/3*t**3 + 105/2*t**2 + 53 + 100*t. Let b(i) = 0. Calculate i.
-20, -1
Let i(s) = -4*s**3 + 35*s**2 + 374*s + 18. Let o be i(15). Let -1/2*n**5 + 3/2 - 1/2*n + 3/2*n**4 - 3*n**2 + n**o = 0. What is n?
-1, 1, 3
Let x(y) = 102*y**3 + 6*y**2 - 93*y + 66. Let c(b) = 23*b**3 + 2*b**2 - 23*b + 16. Let q(a) = -9*c(a) + 2*x(a). Let q(f) = 0. What is f?
-4, 1
Let q(a) be the first derivative of a**2 + 26*a + 15. Let s be q(-12). Factor -2*y**2 - 6*y + 2*y + 4*y**5 + 10*y**s + 0*y**2 - 8*y**4.
4*y*(y - 1)**3*(y + 1)
Suppose -10*d + 739 = 239. Let t = d - 50. Factor 3*p**2 + t + 6 - 9*p**2 - 2*p**3 - 3*p + 5*p**3.
3*(p - 2)*(p - 1)*(p + 1)
Let x = 453658 + -453655. Let -1/3*y**x + 4/3*y - 4/3 + 1/3*y**2 = 0. What is y?
-2, 1, 2
Let m be 355 - (7/(-56) - 2/(-16)). Suppose -115 = 48*g - m. Solve 0 + 6/5*t**4 + 2/5*t**2 + 2/5*t**g + 6/5*t**3 + 0*t = 0.
-1, 0
Let c(w) = 3*w**2 + 2835*w + 2964. Let k(q) = 2*q**2 + 1894*q + 1976. Let o(i) = -14*c(i) + 22*k(i). Let o(v) = 0. What is v?
-988, -1
Let c(l) be the first derivative of -48*l**2 - 14*l**3 - 3/4*l**4 - 90 + 384*l. Factor c(x).
-3*(x - 2)*(x + 8)**2
Let b(x) be the second derivative of -11*x**4/102 - 8*x**3/17 - 4*x**2/17 + 227*x + 1. Find w such that b(w) = 0.
-2, -2/11
Determine i so that -52*i**2 + 168 + 75*i - 158*i**2 + 468*i**4 - 3*i**5 + 473*i**4 - 120*i**3 - 899*i**4 + 48*i = 0.
-1, 1, 7, 8
Let f(z) be the third derivative of 0*z**3 + 1/10*z**6 + 0*z + 2/3*z**4 + 5*z**2 - 1/105*z**7 + 6 + 1/2*z**5. Factor f(t).
-2*t*(t - 8)*(t + 1)**2
Let y(n) = 4*n**4 - 30*n**3 + 176*n**2 - 360*n + 214. Let w(t) = t**4 + t**3 + t**2 - 1. Suppose 2*b + 20 = 16. Let x(d) = b*w(d) + y(d). Factor x(h).
2*(h - 6)**2*(h - 3)*(h - 1)
Let j = -8 - -19. Suppose b = 3*z - j, 0 = 4*z - b + 2*b - 10. Factor 2*u - 3*u**2 - z*u**2 - 2*u**3 + 2*u**2 + 4*u.
-2*u*(u - 1)*(u + 3)
Let s(n) be the second derivative of n**7/4200 + 13*n**6/600 + 19*n**3/6 - 103*n. Let a(i) be the second derivative of s(i). Find t such that a(t) = 0.
-39, 0
Let l = 335 + -332. What is r in -135 + 7*r + 2*r + 51 - 4*r**2 + 25*r**2 - l*r**3 + 3*r = 0?
-2, 2, 7
Let c(v) be the first derivative of 5*v**2 - 15*v**3 - 35/6*v**6 + 37 + 0*v + 25/4*v**4 + 9*v**5. Find y, given that c(y) = 0.
-1, 0, 2/7, 1
Let 402*k - 3/2*k**3 - 798 + 795/2*k**2 = 0. Calculate k.
-2, 1, 266
Let s(a) be the third derivative of -a**5/120 + 43*a**4/48 + 39*a**3 + 141*a**2. What is d in s(d) = 0?
-9, 52
Suppose 0 = -5*q - 5, 5*p = -50*q + 49*q + 539. Solve 48*b + 10*b**2 + 4*b**2 - 20*b**2 + 10*b**2 + p = 0 for b.
-9, -3
Let s(x) = x**2 - 5*x - 49. Let f be s(10). Let g(m) = 8*m - 4. Let l be g(f). Determine o so that 0 - 4/7*