o). Factor b(k).
-5*(k - 10)*(k + 1)*(k + 8)
Let w(k) be the first derivative of 135 + 11/9*k**3 + 0*k + 5/6*k**2 + 7/12*k**4 + 1/15*k**5. Let w(j) = 0. Calculate j.
-5, -1, 0
Let y(b) = -12*b**3 - 179*b**2 + 14*b. Let c(z) = 10*z**3 + 180*z**2 - 12*z. Let a(t) = -7*c(t) - 6*y(t). Find v such that a(v) = 0.
0, 93
Factor -14*y**2 - 18*y**3 + 6*y**3 + 300 - 10*y**2 - 110*y + 14*y**3.
2*(y - 15)*(y - 2)*(y + 5)
Factor 36*y + 11*y**3 + 38*y**2 + 0 + 1/2*y**4.
y*(y + 2)**2*(y + 18)/2
Suppose -31/3*c**2 + 150 - 3*c**3 + 1/3*c**4 + 55*c = 0. Calculate c.
-3, 5, 10
Let d(h) be the first derivative of -50/21*h**6 + 151 - 169/7*h**4 - 144/7*h**5 - 96/7*h + 104/7*h**3 + 136/7*h**2. What is c in d(c) = 0?
-6, -1, 2/5
Let a be (6545/(-15))/(-77) + (-4)/2 + 4. Factor -10/3*b**4 - a*b - 1/3*b**5 + 4 + 8*b**3 - 2/3*b**2.
-(b - 1)**3*(b + 1)*(b + 12)/3
Let p(s) be the first derivative of -s**4/6 + 4*s**3 - 36*s**2 - 4*s - 139. Let n(z) be the first derivative of p(z). Let n(y) = 0. What is y?
6
Let l(h) be the first derivative of 3*h**5/20 + 15*h**4/16 + 2*h**3 + 3*h**2/2 + 1549. Find g, given that l(g) = 0.
-2, -1, 0
Let u = -38 - -68. Suppose 3*n = -3*s + u, 2*s = 3*n - 3*s + 2. Factor -n*i**4 + 2 + 8*i + 25 - 6*i**2 + 12*i**3 - 44*i + 9*i**4.
3*(i - 1)**2*(i + 3)**2
Let i(x) = -13*x**3 + 854*x**2 - 35256*x - 73964. Let w(n) = -37*n**3 + 2561*n**2 - 105769*n - 221891. Let q(o) = -11*i(o) + 4*w(o). What is m in q(m) = 0?
-2, 86
Let b = -35 + 38. Suppose -b*v = -v - 8. Factor -21*c**v + 4*c**5 + 4*c - 6*c**5 + 19*c**4 + c**2 + 9*c**2 + 6*c**3.
-2*c*(c - 2)*(c + 1)**3
Let f(s) be the first derivative of 8*s**5/75 + 181*s**4/10 - 824*s**3/15 + 827*s**2/15 - 92*s/5 + 7537. Solve f(d) = 0 for d.
-138, 1/4, 1
Factor 0 - 904/3*v**2 - 4/3*v**3 - 51076/3*v.
-4*v*(v + 113)**2/3
Let m be (13 + -1)/(14/8). Let x = 28281/140 + -2943/20. Factor 1024/7 + x*u + 2/7*u**3 + m*u**2.
2*(u + 8)**3/7
Let n(y) = 3*y - 18. Let m be n(8). Suppose -3*p + 9 = -2*r, -3*r + m*r + 16 = 5*p. Factor z**r - 2*z - 4*z**3 - 6*z**2 - 3*z**3 + 14*z**2.
-2*z*(z - 1)*(3*z - 1)
Let d(t) be the second derivative of -t**6/6 + 33*t**5/4 - 325*t**4/4 - 2465*t**3/6 - 660*t**2 - 2769*t. Find o, given that d(o) = 0.
-1, 11, 24
Let a be 72/28 + (3 - 5). Let q be 8/88 - 11/(1694/(-1416)). What is u in q*u**3 + 62/7*u**4 + a*u + 0 + 3*u**5 + 4*u**2 = 0?
-1, -2/3, -2/7, 0
Let n(g) be the first derivative of 3*g**4/4 - 4*g**3 - 6*g**2 + 48*g - 1500. Factor n(u).
3*(u - 4)*(u - 2)*(u + 2)
Let r(m) be the first derivative of -3*m**5/35 - 2*m**4/3 - 16*m**3/21 + 105*m + 45. Let x(a) be the first derivative of r(a). Suppose x(z) = 0. What is z?
-4, -2/3, 0
Let t(q) be the third derivative of q**6/30 - 6*q**5/5 + 16*q**4 - 256*q**3/3 - 16*q**2. Factor t(h).
4*(h - 8)**2*(h - 2)
Let y(q) = -9*q**4 - 14*q**3 - 57*q**2 - 31*q - 7. Let m(z) = 10*z**4 + 12*z**3 + 58*z**2 + 32*z + 8. Let o(u) = 7*m(u) + 8*y(u). Factor o(h).
-2*h*(h + 1)**2*(h + 12)
Let h(q) be the second derivative of 7*q**5/150 - 4*q**4/15 + 4*q**3/15 + 263*q**2/2 - 33*q. Let m(c) be the first derivative of h(c). Factor m(y).
2*(y - 2)*(7*y - 2)/5
Let p be 945/(-4)*(-60)/25. Let x = p + -565. Determine m, given that -3*m**2 + 3/2*m**3 - 1/4*m**4 + 0 + x*m = 0.
0, 2
Let k(g) be the third derivative of -3*g + 0 + 0*g**3 + 13/12*g**5 + 5/4*g**4 - 8*g**2 - 5/24*g**6. Factor k(u).
-5*u*(u - 3)*(5*u + 2)
Let y = 163810 + -814007/5. Determine s, given that y + 246/5*s + 3/5*s**2 = 0.
-41
Let b(u) = 17*u**4 - 70*u**2 - 132*u - 63. Let i(z) = -30*z**4 + 139*z**2 + 263*z + 126. Let n(p) = -7*b(p) - 4*i(p). Determine o so that n(o) = 0.
-7, -1, 9
Let i be (-28)/8*24/(-42). Find a, given that 6*a**i - 19*a - 16*a - 25*a + 57*a = 0.
0, 1/2
Let w(n) be the first derivative of n**6/1080 + n**5/540 - n**4/36 - 4*n**2 - 4*n + 70. Let m(b) be the second derivative of w(b). Factor m(v).
v*(v - 2)*(v + 3)/9
Let b = 218129/35 - 30902/5. Factor -1331/7 - 1/7*r**3 - 33/7*r**2 - b*r.
-(r + 11)**3/7
Let w(u) be the first derivative of u**6/6 - 54*u**5/5 + 549*u**4/4 + 4864*u**3/3 + 3930*u**2 + 3600*u - 1327. Solve w(b) = 0.
-4, -1, 30
Let k be ((-5)/(-20)*4)/(2/394). Let o = k - -57. Factor -518*w + o*w + 4*w**2 - w**3 + 2 + 259*w.
-(w - 2)*(w - 1)**2
Let -98 + 193/4*n**3 - 43/2*n**2 + 1/4*n**5 - 161*n + 7*n**4 = 0. Calculate n.
-14, -1, 2
Let l(d) = -175*d + 2277. Let k be l(13). Let m(s) be the first derivative of 1/2*s**4 + 31 + 0*s + 10/3*s**3 - 6*s**k. Factor m(x).
2*x*(x - 1)*(x + 6)
Let c = 38/13227 - -22007/13227. Find z, given that 290/3*z + c*z**2 + 4205/3 = 0.
-29
Let x be 24 + (-7110)/300 - (-4)/120*-9. Determine w so that x - 6/19*w**3 + 0*w - 4/19*w**2 - 2/19*w**4 = 0.
-2, -1, 0
Let u = 203801/73 - 2792. Let d = u + 103/146. Factor 0 - 2*p**2 - d*p - p**4 - 5/2*p**3.
-p*(p + 1)**2*(2*p + 1)/2
Let c = 29999 + -119981/4. What is d in -c*d**2 + 27/8 + 3*d**3 + 3/8*d**4 - 3*d = 0?
-9, -1, 1
Factor 781*y**3 + 4*y**2 + 229*y - 782*y**3 + 6*y**2 - 144 - 75*y - 19*y**2.
-(y - 8)*(y - 1)*(y + 18)
Let o(n) be the first derivative of -8*n**3/39 + 1237*n**2/13 - 618*n/13 + 2325. Suppose o(i) = 0. Calculate i.
1/4, 309
Let o(r) be the first derivative of -3*r**4/32 + 13*r**3/2 - 727. Factor o(i).
-3*i**2*(i - 52)/8
Solve -142/15*a**3 - 46/5*a**2 + 28/3 - 2/15*a**4 + 142/15*a = 0.
-70, -1, 1
Suppose 14*m = 9*m + 10. What is x in -32*x**m + 18*x - 3*x + x**2 + 16*x**2 - 42*x**2 = 0?
0, 5/19
Let c(t) be the second derivative of 5*t**4/12 - 65*t**3 - 1260*t**2 - 112*t + 1. Factor c(g).
5*(g - 84)*(g + 6)
Let d(h) be the second derivative of 33 + 59/75*h**5 + 32/45*h**4 - 22/225*h**6 - 319/45*h**3 - h + 1/315*h**7 - 242/15*h**2. Let d(g) = 0. Calculate g.
-1, 2, 11
Let f(s) = 3*s**4 - 714*s**3 - 735*s**2 + 36*s + 9. Let y(g) = -g**3 + g**2 - 4*g - 1. Let p(x) = f(x) + 9*y(x). Factor p(t).
3*t**2*(t - 242)*(t + 1)
Let t(m) = -7*m**3 + 66*m**2 + 133*m + 80. Let x(b) = 11*b**3 - 98*b**2 - 197*b - 120. Let d(s) = -8*t(s) - 5*x(s). Determine z so that d(z) = 0.
-1, 40
Factor 17997824/7*l + 1664/7*l**3 - 259584/7*l**2 - 467943424/7 - 4/7*l**4.
-4*(l - 104)**4/7
What is y in -191/2*y**2 - 199/2*y - 9 - 5*y**3 = 0?
-18, -1, -1/10
Let q be (48/56)/((-9)/(-42)). Factor 1 - 606*o**q + 615*o**4 - 1 + 249*o**3 - 84*o**2.
3*o**2*(o + 28)*(3*o - 1)
Let w = -274 - -278. Find y, given that 623*y**w - 2*y**2 - 6*y + 4*y**3 + y**2 - 624*y**4 = 0.
-1, 0, 2, 3
Factor -3/4*o**2 + 381/4 + 571/2*o.
-(o - 381)*(3*o + 1)/4
Suppose -22246 = -189*o - 19222. Factor 25/4*f**4 + 3*f + 95/4*f**3 + o*f**2 + 0.
f*(f + 3)*(5*f + 2)**2/4
Let j = 3454/51 + -970/17. Factor -4*v - 6*v**2 + j - 2/3*v**3.
-2*(v - 1)*(v + 2)*(v + 8)/3
Let j(z) be the third derivative of -z**5/80 + 19*z**4/4 - 722*z**3 + z**2 + z - 58. Determine x, given that j(x) = 0.
76
Suppose -82*c**2 + 126*c**2 - 440*c - 48400 - 45*c**2 = 0. Calculate c.
-220
Suppose 48*j - 3/5*j**3 + 612/5 - 39/5*j**2 = 0. Calculate j.
-17, -2, 6
Let 0 - 3/2*z + 11*z**2 = 0. Calculate z.
0, 3/22
Let p = 30 + -29. Let c = p - 0. Determine b so that -4*b**2 + 1 - b**2 - c - 5*b = 0.
-1, 0
Let b(v) be the first derivative of -v**4/4 + 13*v**3/3 + 29*v**2/2 + 15*v + 349. Factor b(d).
-(d - 15)*(d + 1)**2
Let g(z) = z**4 - z**3 - z**2 + z - 9. Let t(d) = -165*d**4 - 82041*d**3 - 10405895*d**2 - 4612699*d - 512045. Let f(v) = -3*g(v) - t(v). Factor f(p).
2*(p + 253)**2*(9*p + 2)**2
Suppose 7*v - 510 - 29 = 0. Factor -3*a**3 + v*a**2 - 68*a**2 + 5*a - 5*a.
-3*a**2*(a - 3)
Suppose 52 = 12*j + j. Let -8*c**j + 7*c - 3*c + 67095*c**2 - 67087*c**2 - 4*c**5 = 0. Calculate c.
-1, 0, 1
Let k(m) be the third derivative of 0*m**3 - 1/140*m**6 + 0*m**7 + 1/105*m**5 - 110*m**2 + 0*m**4 + 0*m + 1/1176*m**8 + 0. Factor k(j).
2*j**2*(j - 1)**2*(j + 2)/7
Let y(r) be the second derivative of 4 + 0*r**2 - 2/9*r**3 + 1/18*r**4 + 14*r. Factor y(g).
2*g*(g - 2)/3
Let o(k) be the first derivative of -2*k**5/5 + 4*k**4 + 56*k**3/3 - 80*k**2 - 2262. Find p, given that o(p) = 0.
-4, 0, 2, 10
Let j be 44/(-596*7/(-224) - 18). Factor 4/5*w**2 + 7744/5 - j*w.
4*(w - 44)**2/5
Suppose a - 2 = 4*f, -f = a + 3*a - 8. Suppose -12*j + 5 + 43 = f. Let -3*l**5 + 162 + 3*l**j + 9*l**3 - 162 - 6*l + 0*l**5 - 3*l**2 = 0. What is l?
-1, 0, 1, 2
Let x(c) be the second derivative of -3/28*c**4 - 1/2*c**2 + 0 -