*b**5 + k*b - 4/3*b**4 = 0. What is b?
-2, -1, 0, 2
Let v = -3004 + 3009. Let c(o) be the third derivative of 8/9*o**3 + 0 - 1/360*o**6 - 1/3*o**4 + 1/20*o**v + 2*o**2 + 0*o. Factor c(k).
-(k - 4)**2*(k - 1)/3
Let n(y) be the third derivative of -y**6/120 + 161*y**5/30 - 2133*y**4/2 - 8748*y**3 - 721*y**2 + 1. Find d, given that n(d) = 0.
-2, 162
Suppose 10*m = 14*m - 5*z - 13, 4*m - 9 = z. Factor -4*v**m - 3400*v + 5*v**2 + 3411*v.
v*(v + 11)
Let t(a) = -55*a**2 - 1100*a + 45. Let w(j) = -5*j**2 - 40*j + 11 - 7 - 60*j. Let q(k) = 4*t(k) - 45*w(k). Solve q(u) = 0.
-20, 0
Let g = -362 - -359. Let u be 12/(g*21/(-30)). Solve -12/7 + 40/7*s**3 - 16/7*s**2 + 4*s**4 - u*s = 0.
-1, -3/7, 1
Let w(n) = -n**2 + 10*n - 79. Let j be w(47). Let x = j - -1820. Factor 0 - 4/3*p + 2/9*p**3 - 2/9*p**x.
2*p*(p - 3)*(p + 2)/9
Let k(p) = -22*p + 72. Let q be k(2). Let z be ((-48)/q - -2)*(-14)/(-16). Solve z - 3/4*j**4 + 1/4*j**5 + 1/2*j**2 - 3/4*j + 1/2*j**3 = 0 for j.
-1, 1
Let 0*d - 148/3*d**2 + 152/3*d**3 + 0 - 4/3*d**4 = 0. Calculate d.
0, 1, 37
Let n(m) be the second derivative of 25*m**4/42 + 74*m**3/21 - 3*m**2/7 + 868*m. Suppose n(a) = 0. What is a?
-3, 1/25
Let p = 570902/7 - 81557. Find j, given that 3*j**2 - 18/7 - p*j**4 - 3/7*j + 3/7*j**3 = 0.
-2, -1, 1, 3
Solve -194/11*r**3 + 768/11*r + 1322/11*r**2 + 72/11 - 1424/11*r**4 - 544/11*r**5 = 0 for r.
-2, -3/4, -2/17, 1
Suppose -404 = -17*q + 13*q + 5*m, -m = -q + 100. Let d be (-7)/(-15) - (5 - q/18). Find o, given that -16/15*o + 2/15*o**4 - 2/5 - d*o**2 + 0*o**3 = 0.
-1, 3
Let b(j) = 8*j - 38. Let n be b(5). Let -40*m - 207 - m**2 - 3*m**n + 251 = 0. What is m?
-11, 1
Let i(v) = 5*v**2 - 7587*v + 2880411. Let a(b) = b + 2. Let n(k) = 3*a(k) - i(k). Factor n(p).
-5*(p - 759)**2
Let r be 112/(-24)*6/(-14). Let z(f) be the third derivative of 1/33*f**4 + 0*f**3 + 0*f + 5/132*f**6 + 0 + f**r + 2/33*f**5. Let z(d) = 0. Calculate d.
-2/5, 0
Let x(h) be the first derivative of 132 - 255/2*h**2 - 289*h - 1/4*h**4 + 11*h**3. Factor x(b).
-(b - 17)**2*(b + 1)
Suppose 0 = 367*n - 4050 + 2949. Solve -8 - 1/2*o**4 - n*o**3 + 12*o - 1/2*o**2 = 0 for o.
-4, 1
Let a(p) be the second derivative of p**7/5040 + p**6/96 + 7*p**5/120 - 13*p**4/6 + p**3/6 - 128*p + 2. Let m(u) be the third derivative of a(u). Factor m(y).
(y + 1)*(y + 14)/2
Let l(a) be the third derivative of -11*a**5/180 - 7*a**4/6 - 6*a**3 + 349*a**2 + 2. Let l(y) = 0. Calculate y.
-6, -18/11
Suppose -5*r + 0*v + 39 = -2*v, -5*r = -8*v - 81. Let l(k) be the third derivative of 1/14*k**4 + 0 + 8/21*k**3 + k**2 - 1/105*k**r + 0*k. Solve l(b) = 0 for b.
-1, 4
Let w be (-8)/16 - (-15)/2. Let o(j) = -2*j + 16. Let d be o(w). Determine s so that -155*s - 80 - 5*s**4 + 17*s - 40*s**3 - 22*s - 120*s**d = 0.
-2
Factor -8/5*f**2 + 8/5*f**4 + 1/5*f**5 - 1/5*f**3 + 0 + 0*f.
f**2*(f - 1)*(f + 1)*(f + 8)/5
Let y(k) = 2*k**3 + 69*k**2 + 194*k - 710. Let q be y(-31). Factor 1/2*s + 25/2*s**2 + 84*s**q + 0 + 72*s**4.
s*(s + 1)*(12*s + 1)**2/2
Let n(v) be the third derivative of 1/60*v**5 + 25/12*v**4 + 0*v**3 + 0*v + 280 + v**2. Find o such that n(o) = 0.
-50, 0
Let s(b) = 2*b**3 + 17*b**2 - 8*b + 14. Suppose 3*g - 3 = 2*g, 21 = -3*o - 2*g. Let i be s(o). What is l in -19*l**2 + i*l**2 + 7*l**2 + 10*l**2 + l**3 = 0?
-3, 0
Factor -1558*m**3 + 1561*m**3 + 62*m**2 + 4*m**2.
3*m**2*(m + 22)
Let o(t) be the third derivative of -t**8/5040 - t**7/315 + t**6/54 - 25*t**3/3 + 10*t**2. Let z(h) be the first derivative of o(h). Factor z(d).
-d**2*(d - 2)*(d + 10)/3
Let s(t) be the second derivative of 13/2*t**2 - 53*t + 3/10*t**6 + 1 + 37/6*t**4 + 17/2*t**3 - 1/42*t**7 + 23/10*t**5. Find r, given that s(r) = 0.
-1, 13
Let g(c) be the second derivative of 2*c**6/165 - 79*c**5/110 - 20*c**4/33 - 7938*c. Suppose g(f) = 0. What is f?
-1/2, 0, 40
Let h(x) be the first derivative of -x**5/10 - x**4/2 + 2*x**3 + 8*x**2 + 159*x - 178. Let j(q) be the first derivative of h(q). Factor j(r).
-2*(r - 2)*(r + 1)*(r + 4)
Let f(y) be the first derivative of 7*y**4/8 - 6*y**3 - 9*y**2 + 846. Factor f(b).
b*(b - 6)*(7*b + 6)/2
Let w(h) be the second derivative of h**5/14 - 17*h**4/21 - 97*h**3/21 - 18*h**2/7 - 1489*h. Let w(c) = 0. Calculate c.
-2, -1/5, 9
Suppose -2*z = -7*z + 4*t + 120, 65 = 2*z - 5*t. Let f be (-2)/10 - 4/(z/(-181)). Factor 4*j**3 + 44*j + f*j**2 + 43*j + 17*j - 8*j + 80.
4*(j + 2)**2*(j + 5)
Suppose -6 + 48 = 14*t. Suppose t*l + 455 = 467. Suppose -2/3*m**2 + l*m - 8/3 + 1/3*m**4 - m**3 = 0. What is m?
-2, 1, 2
Factor -4*n**2 - 430*n - 453*n + 1079*n + 37 - 229.
-4*(n - 48)*(n - 1)
Factor -456*n + 2/9*n**2 + 233928.
2*(n - 1026)**2/9
Let b(a) = 14*a**2 + 137*a + 103. Let j be b(-9). Find x such that -x + x**3 + 4/3*x**j + 1/3 - 5/3*x**2 = 0.
-1, 1/4, 1
Let o = 291 + -227. Factor o*m**2 + 468 - 917 + 2*m**4 - 29*m**3 + 461 - 49*m.
(m - 12)*(m - 1)**2*(2*m - 1)
Let t = -2693/8470 + 354/847. Factor -9/10*a + 4/5 + 9/10*a**3 - 7/10*a**2 - t*a**4.
-(a - 8)*(a - 1)**2*(a + 1)/10
Let j(t) be the third derivative of 0 + 49/6*t**3 + 3/20*t**5 + 0*t - 19*t**2 - 7/4*t**4. Determine s so that j(s) = 0.
7/3
Let f = 235 + -91. Let s be (18/8)/(27/f). Factor -10 - s + 16*v + 4*v**2 + 25 - 23.
4*(v - 1)*(v + 5)
Let t(x) = 3*x**2 - x + 1. Let c(m) = 14075*m**2 + 5290*m + 510. Let n(h) = c(h) - 10*t(h). Find l such that n(l) = 0.
-10/53
Let 603813 + 1678858 - 309803 - 9020*z + 5*z**2 + 2095152 = 0. Calculate z.
902
Let -113064*y**5 + 56489*y**5 + 680*y**3 + 136*y**4 + 56 + 56539*y**5 + 412*y + 864*y**2 = 0. Calculate y.
-1, -2/9, 7
Let q(b) be the third derivative of b**7/42 - b**6/4 + b**5/12 + 5*b**4 + 40*b**3/3 + 10*b**2 + 4. Factor q(i).
5*(i - 4)**2*(i + 1)**2
Let 2/7*a**4 + 0 + 64/7*a**2 - 30/7*a**3 + 96/7*a = 0. What is a?
-1, 0, 4, 12
Let p be 2/((-55)/(-15) - 3). Suppose -4*z = 5*t + 17, 4*z - 7*t = -p*t + 28. Find f, given that -6*f**2 - f**3 - 2*f**z + 9*f**2 = 0.
0, 1
Let f be ((-45)/75 - (-93)/155)/6. Factor 0*y**2 + 3/5*y**5 + f*y - 3/5*y**3 + 0 + 0*y**4.
3*y**3*(y - 1)*(y + 1)/5
Let z be 2 - ((-12)/3 - 0). Suppose 268*d + 12 = 271*d. Solve -j**4 - 5*j**4 - 12*j**2 + z*j**3 + 9*j**3 + 3*j**d = 0 for j.
0, 1, 4
Let p(i) be the first derivative of 2*i**3/27 - 154*i**2/9 + 11858*i/9 + 1189. Factor p(u).
2*(u - 77)**2/9
Let v be (584/36 - 16) + 8/18. Let n(k) = -k**2 + 10*k - 4. Let z be n(9). Suppose -2/3*i**4 - 4/3*i**3 + 2/3*i - 2/3 + 4/3*i**2 + v*i**z = 0. Calculate i.
-1, 1
Let w(f) be the third derivative of -f**7/42 - 233*f**6/40 - 406*f**5 + 1225*f**4/6 + 2*f**2 + 38*f + 56. Factor w(a).
-a*(a + 70)**2*(5*a - 1)
Let 2*f**3 - 136/3*f + 16/3*f**2 - 32 = 0. Calculate f.
-6, -2/3, 4
Let c(r) be the third derivative of -r**6/420 + 43*r**5/70 - 419*r**2 + 1. Find k such that c(k) = 0.
0, 129
Let z(b) = -78*b**2 + 12*b + 71. Let v be z(-4). Let c = 3871/3 + v. Factor 1/3*o**2 + 28/3*o + c.
(o + 14)**2/3
Factor -526*m**3 + m**4 - 293*m**3 + 1004*m**3.
m**3*(m + 185)
Let -5488/9 + 2/9*f**3 + 392/3*f - 28/3*f**2 = 0. Calculate f.
14
Let 39*y - 45/2*y**2 + 3/2*y**3 + 0 = 0. Calculate y.
0, 2, 13
Let r(h) be the first derivative of -45 - 1/60*h**5 + 3*h + 0*h**2 - 1/9*h**3 - 1/12*h**4. Let u(z) be the first derivative of r(z). Factor u(a).
-a*(a + 1)*(a + 2)/3
Let q(v) be the third derivative of v**5/150 + 37*v**4/20 - 114*v**3/5 - 1873*v**2. Let q(p) = 0. Calculate p.
-114, 3
Let m(z) = -12*z**3 + 8*z**2 + 400*z + 944. Let a(o) = 14*o**3 - 6*o**2 - 401*o - 946. Let j(k) = 4*a(k) + 5*m(k). Determine n so that j(n) = 0.
-6, -3, 13
Let f(n) be the third derivative of 19/84*n**4 - 34/21*n**3 + 0 - 202*n**2 - 1/210*n**5 + 0*n. Solve f(h) = 0 for h.
2, 17
Let j(g) be the second derivative of -g**6/30 - g**5/20 + 11*g**4 - 1655*g + 1. Determine s, given that j(s) = 0.
-12, 0, 11
Let i be ((-8)/(-3))/(-271 + 291). Factor -2/5*w**2 - 4/15*w - i*w**3 + 0.
-2*w*(w + 1)*(w + 2)/15
Factor -2*a**3 + 7/2*a + 5 - 7/2*a**2.
-(a + 1)*(a + 2)*(4*a - 5)/2
Let d(c) be the third derivative of 12/115*c**5 + 32/69*c**3 + 12*c**2 - c + 11/23*c**4 + 7/1380*c**6 + 0. Let d(m) = 0. What is m?
-8, -2, -2/7
Suppose -3*t + 4*l = 1465, -2868 = 5*t + 2*l - 383. Let n = 497 + t. Find y such that -2/3*y**n - 10/3*y + 4 = 0.
-6, 1
Determine j, given that -23/4*j**2 + 7/4*j**3 + 1/4*j**4 + 27/2 - 39/4*j = 0.
-9, -2, 1