5/9)/(6936/1377 + -5). Solve -55*b**4 - 115/3*b**3 + w*b**5 - 40/3 + 205/3*b**2 + 70/3*b = 0 for b.
-1, -2/3, 1/3, 1, 4
Let a(j) be the second derivative of 1/18*j**4 + 11/60*j**5 - 5/6*j**3 - 4 + 4*j + 0*j**2 + 1/45*j**6. Factor a(n).
n*(n - 1)*(n + 5)*(2*n + 3)/3
Let o(c) be the second derivative of 0 + 6/5*c**3 - 1/20*c**4 - 9/25*c**5 + 0*c**2 + 1/50*c**6 + 135*c. Factor o(d).
3*d*(d - 12)*(d - 1)*(d + 1)/5
Suppose -214/3*c**4 - 1218*c**2 - 1080*c + 216 - 4*c**5 - 456*c**3 = 0. Calculate c.
-6, -3, 1/6
Let a = 3963 + -3963. Let d(q) be the third derivative of 1/2*q**3 + a*q + 0 - 17/16*q**4 + 3/8*q**5 + 6*q**2. Suppose d(t) = 0. Calculate t.
2/15, 1
Let h(w) be the third derivative of 0 + 49*w**2 + 1/21*w**5 + 0*w**3 - 3/28*w**4 + 0*w - 1/420*w**6. Factor h(u).
-2*u*(u - 9)*(u - 1)/7
Let j(m) = -12*m**2 - 1010*m + 957. Let r(v) = -7*v**2 - 510*v + 478. Let h(t) = 3*j(t) - 5*r(t). Factor h(d).
-(d - 1)*(d + 481)
Suppose -32*u + 399 + 20689 = 0. Suppose 0 = -u*g + 666*g - 14. Factor 338/9 + 52/9*r + 2/9*r**g.
2*(r + 13)**2/9
Let x = -64 + 92. Let h be (-25 - -19)*2/x*-3. Find w, given that 18/7*w**2 + 24/7*w + h + 0*w**3 - 3/7*w**4 = 0.
-1, 3
Suppose 33 = -6*p - 9. Let n(x) = -x**2 + 10*x + 121. Let v be n(p). Suppose -3/2*i**3 - 21/2*i**v - 27/2 - 45/2*i = 0. Calculate i.
-3, -1
Suppose 0 = 29*o + 121073 - 121218. Solve 58/9*b**o + 34*b**3 + 8/9*b + 0 - 136/9*b**2 - 236/9*b**4 = 0.
0, 2/29, 1, 2
Let c = -1857 + 7431/4. Factor 15/4 + c*j**3 + 9/4*j**2 - 27/4*j.
3*(j - 1)**2*(j + 5)/4
Factor 260 + 29*c**2 - 24*c**2 - 15938*c + 15798*c.
5*(c - 26)*(c - 2)
Let k = -663514/3 - -3317624/15. Suppose k*c**2 + 2/15*c**3 - 2/15*c**4 - 54/5*c + 36/5 = 0. Calculate c.
-6, 1, 3
Let y = 67 - 63. Factor 48 + 112 + 318*f**2 - 341*f - 59*f + 50*f**y + 82*f**2 - 5*f**5 - 200*f**3.
-5*(f - 2)**5
Let i = 449 - 3615/8. Let j = 3 + i. Find o, given that 1/4 + j*o**2 + 3/8*o = 0.
-2, -1
Factor h**2 - 131*h + 28*h + 44 + 88*h.
(h - 11)*(h - 4)
Let k = -146816 + 146819. What is i in -5/3*i**4 - 40/3*i + 16/3 + 25/3*i**2 - 1/3*i**5 + 5/3*i**k = 0?
-4, 1
Let p(s) be the first derivative of 5*s**8/336 + 2*s**7/21 - 4*s**2 + 3*s - 100. Let d(g) be the second derivative of p(g). Find b, given that d(b) = 0.
-4, 0
Suppose -24*b + 6 = -8 - 34. Solve -z + 1/4*z**b + 0 = 0 for z.
0, 4
Let c(w) be the second derivative of w**9/1008 - 17*w**8/1120 + 43*w**7/840 + w**6/24 + 7*w**4/6 - 73*w. Let b(a) be the third derivative of c(a). Factor b(q).
3*q*(q - 5)*(q - 2)*(5*q + 1)
Let t(a) be the second derivative of a**5/10 + a**4/2 - 466*a**3/3 + 912*a**2 + 2*a + 5376. Suppose t(h) = 0. What is h?
-24, 2, 19
Let m(j) be the first derivative of -164/11*j**2 - 95 + 49/22*j**4 - 48/11*j - 532/33*j**3. Suppose m(z) = 0. What is z?
-2/7, 6
Suppose 29 = 4*o - 63. Suppose 2*v + o + 2 = 3*u, 0 = -2*u + v + 18. Factor 48*w**3 + 5*w**4 - u*w**2 - 7*w**2 - 37*w**4.
-2*w**2*(4*w - 3)**2
Suppose 2128 = 240*z + 292*z. Solve 8*s**3 - 17/3*s**z + 2/3*s + 4/3*s**5 + 0 - 13/3*s**2 = 0.
0, 1/4, 1, 2
Let i(x) be the first derivative of 16*x**4/5 - 1888*x**3/15 - 3598*x**2/5 - 6468*x/5 - 2053. Factor i(k).
4*(k - 33)*(4*k + 7)**2/5
Let o(x) = -x**2 + 171*x + 6265. Let g be o(-31). Let k(f) be the second derivative of 1/100*f**5 - 4*f + 1/10*f**g + 0 + 0*f**2 + 1/15*f**4. Solve k(u) = 0.
-3, -1, 0
Let b(p) be the third derivative of 0*p**3 - 1/560*p**7 + 0*p + 29*p**2 - 2 - 5/16*p**4 + 1/10*p**5 - 1/320*p**6. Let b(x) = 0. What is x?
-5, 0, 2
Let i = 67 - 67. Suppose 6*b - 9*b + 9 = i. Factor -7*x**3 - 9*x**b + 7*x**3 - 3*x**2 - 9*x**4 - 3*x**5.
-3*x**2*(x + 1)**3
Let w(h) = -2*h**3 + 22*h**2 + 2*h + 6. Let z be w(11). Determine b so that z - 4*b**3 + 77*b**2 - 58*b + 2*b**3 - 45*b**2 = 0.
1, 14
Let s be (2/(-12))/(451/(-10824)). Factor 0 - 1/2*g + 1/2*g**3 - 1/2*g**s + 1/2*g**2.
-g*(g - 1)**2*(g + 1)/2
Find o, given that 9/2*o + 93/8*o**3 - 21/8*o**5 - 6*o**4 + 0 + 39/2*o**2 = 0.
-3, -1, -2/7, 0, 2
Find p, given that 48*p**3 - 4*p**5 + 897*p**3 + 1444*p**4 + 776*p**4 - p**5 + 1280*p**3 = 0.
-1, 0, 445
Let r(y) = 5*y + 89435*y**2 - 5 - 89430*y**2 - 5*y. Let c(t) = 7*t**2 - t - 8. Let f(v) = 5*c(v) - 8*r(v). Solve f(o) = 0.
-1, 0
Let v(m) be the third derivative of m**8/1008 - m**7/90 - m**6/90 + 7*m**5/45 - 4*m**2 - m - 88. What is l in v(l) = 0?
-2, 0, 2, 7
Suppose 423*n**4 - 1271*n**4 + 429*n**4 + n**5 - 14*n - 11*n**2 + 428*n**4 + 13*n**3 + 2*n**2 = 0. What is n?
-7, -2, -1, 0, 1
Let n(g) be the third derivative of 2*g**5/3 + 505*g**4/24 + 50*g**3 + 5*g**2 + 191*g - 1. Let n(d) = 0. Calculate d.
-12, -5/8
Let b = 30812 + -1109227/36. Let i(m) be the third derivative of 0 + 40*m**2 - b*m**4 + 0*m + 0*m**3 + 1/90*m**5. Suppose i(r) = 0. Calculate r.
0, 5
Let v(x) = -2*x + 42. Let r be v(12). Factor -185*t**2 - r*t - 183*t**2 + 15 + 371*t**2.
3*(t - 5)*(t - 1)
Let k(o) = 3*o**2 - 457*o + 13766. Let i be k(111). What is b in -12/5*b**4 - 12/5*b**3 + 3*b - 3/5*b**5 + 6/5 + 6/5*b**i = 0?
-2, -1, 1
Let l(i) be the second derivative of -i**6/270 - 7*i**5/90 + 4*i**4/9 - 5*i**3/6 - 2*i + 2. Let d(k) be the second derivative of l(k). Factor d(u).
-4*(u - 1)*(u + 8)/3
Let v(i) be the third derivative of i**5/120 - i**3/12 - 78*i**2 + 4. Factor v(o).
(o - 1)*(o + 1)/2
Let y(w) be the second derivative of -w**7/5040 + w**6/96 - w**4/4 + 3*w**2 + 6*w - 3. Let l(r) be the third derivative of y(r). Factor l(j).
-j*(j - 15)/2
Let t = 4 + -2. Let x be ((-20)/8 - -4)*t. Determine f, given that 5*f**3 + 4*f**2 + 0*f**x - f**3 - 2*f**4 - 2*f**2 - 4*f = 0.
-1, 0, 1, 2
Solve -1821*m**2 + 31*m**3 + 868*m**2 + 80 - 5*m**4 + 878*m**2 + 19*m**3 - 50*m = 0.
-1, 1, 2, 8
Let c(o) be the second derivative of o**3/3 - 97*o. Let w(k) = 5*k**4 - 190*k**3 + 1385*k**2 + 7990*k + 8820. Let f(z) = -5*c(z) + w(z). What is a in f(a) = 0?
-2, 21
Let s = 33 + -22. Let n = s - -9. Factor 16*b**4 - 8*b**3 + b**5 + n*b**3 + 3*b**5.
4*b**3*(b + 1)*(b + 3)
Let d(o) be the first derivative of 32*o**5/15 + 3068*o**4/3 + 1185746*o**3/9 + 292994*o**2 + 218886*o + 2685. Determine r so that d(r) = 0.
-191, -3/4
Let t = -14 - -9. Let x be 5/(t/(-4)) - 1. Solve 81*y + 684*y**2 + 617*y**3 + 706*y**x + 201*y**4 + 828*y**4 - 117*y**2 = 0.
-3/7, 0
Let w(y) = -3*y**4 - 4*y**3 - 3*y**2 - 2*y - 4. Let h(l) = -372*l**3 + l**4 - 13 + 373*l**3 + l + 14. Let g(p) = 4*h(p) + w(p). Factor g(c).
c*(c - 1)**2*(c + 2)
Suppose -31*i + 58*i + 70*i = 0. Let d(v) be the third derivative of -3*v**2 + 1/2*v**4 + 0*v**3 - 1/15*v**5 + i*v + 0. Factor d(x).
-4*x*(x - 3)
Let w(n) be the third derivative of 2/17*n**3 + 0*n + 0 - 207*n**2 - 11/204*n**4 + 1/1020*n**6 + 2/255*n**5. Determine s so that w(s) = 0.
-6, 1
Let t(b) be the first derivative of 0*b + 21/8*b**4 + 132 - 3/2*b**2 + 19/6*b**3 - 2/5*b**5. Factor t(v).
-v*(v - 6)*(v + 1)*(4*v - 1)/2
Let c(k) = -2 + 0*k**2 - 48*k**3 - 16*k - k**2 + 52*k**3. Let a(t) = -12*t**3 + 4*t**2 + 48*t + 5. Let n(b) = -6*a(b) - 21*c(b). Factor n(o).
-3*(o - 2)*(o + 2)*(4*o + 1)
Factor 135*v**2 - 460*v - v**3 - 546 - 1254 + 133*v**2 - 306*v**2.
-(v + 10)**2*(v + 18)
Let p(j) be the first derivative of 2*j**5/5 - 41*j**4 + 1270*j**3 - 9044*j**2 + 14440*j - 6009. Solve p(x) = 0 for x.
1, 5, 38
Let u be (-1)/(1*(-2)/4). Let s be -8 + 0 + 32 + -20. Let i**2 + 602 - 598 + 0*i**u + s*i = 0. Calculate i.
-2
Suppose -975 = -107*y - 218*y. Find k, given that 36*k + 3/5*k**y - 216/5 - 42/5*k**2 = 0.
2, 6
Let g(s) = 10*s**4 - 935*s**3 - 2215*s**2 + 7635*s - 4220. Let p(y) = -y**4 + 104*y**3 + 246*y**2 - 848*y + 469. Let r(j) = -6*g(j) - 55*p(j). Factor r(a).
-5*(a - 1)**2*(a + 5)*(a + 19)
Let m(x) be the first derivative of x**6/6 + 6*x**5/5 + 3*x**4 + 8*x**3/3 + 1110. Determine q, given that m(q) = 0.
-2, 0
Let q be 6/4*5*88/(-165). Let d(t) = 90*t**3 + 259*t**2 - 402*t + 89. Let p(k) = -45*k**3 - 129*k**2 + 202*k - 44. Let a(n) = q*d(n) - 9*p(n). Factor a(f).
5*(f - 1)*(f + 4)*(9*f - 2)
Let x(w) be the third derivative of 0*w**6 + 2*w**2 + 0*w**5 + 0*w**4 + 0*w**3 + 0 + 89*w + 1/2016*w**8 - 1/630*w**7. Factor x(d).
d**4*(d - 2)/6
Let t(c) = -29 - c**2 + 28 + 2*c + 0*c**2. Let k(j) = 3*j + 3. Let f(g) = -k(g) - 3*t(g). Suppose f(z) = 0. What is z?
0, 3
Suppose 52*t - 10 = 47*t. Solve -22885*c**2 - 12 - 39372*c**t + 16870*c**2 - 1476*c = 0 for c.
-2/