3
Let f be 0/(((-102)/85)/((-4)/10)). Suppose -8*l - 7*l = f. Solve 2/7 - 2/7*w**2 + l*w = 0.
-1, 1
Let r(i) be the first derivative of i**5/5 - i**4/4 - 2*i**3 + 3167. Factor r(b).
b**2*(b - 3)*(b + 2)
Let y(c) be the second derivative of 0*c**2 - 7/4*c**4 + 10/3*c**3 + 94*c + 1/20*c**5 + 0. Factor y(k).
k*(k - 20)*(k - 1)
Let i be ((-8288)/4004)/(-4) + (-40)/110. Determine d, given that -28/13*d**2 - i*d**3 + 256/13 - 64/13*d = 0.
-8, 2
Let l(i) be the third derivative of i**8/3192 + 4*i**7/399 - 301*i**6/1140 + 596*i**5/285 - 124*i**4/19 + 2*i**2 - 248*i - 14. Solve l(n) = 0.
-31, 0, 3, 4
Let b = 922698 - 922695. Find d such that -4*d + 7/4*d**2 - 1/4*d**b + 3 = 0.
2, 3
Suppose 2*u + 0*u - 4 = 0. Let p be 2/8 - u/8. Find q, given that 16*q + 2 + 12 + 4*q**2 + p + 2 = 0.
-2
Let i(n) = -n**3 + 21*n**2 - 5*n + 105. Suppose 13*f - 903 = -30*f. Let a be i(f). Factor -16/3*j - 4/3*j**2 + a.
-4*j*(j + 4)/3
Let x(u) = 3*u**3 + 3*u**2 - 159*u + 158. Let g be x(1). Find w such that -16/9*w + 0 + 10/9*w**4 + 2/9*w**g - 14/3*w**3 + 46/9*w**2 = 0.
-8, 0, 1
Let c be 932/(2/1)*15/30. Factor c - 218 - 15*z**2 - 300 - 860*z.
-5*(z + 57)*(3*z + 1)
Let l = -225 - -237. Find q, given that -q + 87*q**2 - 66 - l*q**4 + 2 + 25*q**2 + 20*q**3 + 17*q = 0.
-2, -1, 2/3, 4
Let x(o) be the first derivative of 4*o**5/5 + 6*o**4 - 116*o**3 - 992*o**2 + 2304*o + 2274. Let x(v) = 0. Calculate v.
-8, 1, 9
Let v(b) = 42*b**2 + 13*b + 57. Let g(d) = -10*d**2 - 3*d - 14. Let s(w) = -26*g(w) - 6*v(w). Let c(h) = -h**2 - 2. Let o(q) = -36*c(q) - 4*s(q). Factor o(z).
4*(z - 2)*(z + 2)
Let u(d) = -2*d**3 + 35*d**2 + 16*d + 27. Let h be u(18). Let t be (h*3/(-180))/(2/10). Let -7/4*f**3 - 9/4 - 2*f**4 + f**5 + t*f + 17/4*f**2 = 0. What is f?
-1, 1, 3/2
Let a(d) be the second derivative of -5*d**4/3 + 505*d**3/6 + 945*d**2/2 + 2002*d. Suppose a(i) = 0. Calculate i.
-7/4, 27
Suppose 139*p + 58 - 53*p - 97*p + 9*p**3 - 78*p - 258*p**2 = 0. Calculate p.
-2/3, 1/3, 29
Factor -42*x**3 + 2365*x**2 - 2365 + 2532*x + 47*x**3 - 2537*x.
5*(x - 1)*(x + 1)*(x + 473)
Let j(s) be the third derivative of 0*s - 1/4*s**5 + 3*s**2 - 5/6*s**4 + 20 + 1/24*s**6 + 0*s**3. Suppose j(c) = 0. Calculate c.
-1, 0, 4
Let w(i) be the first derivative of i**6/15 + 6*i**5/25 - 3*i**4/5 - 56*i**3/15 - 24*i**2/5 - 3454. Factor w(n).
2*n*(n - 3)*(n + 2)**3/5
Let g(s) be the second derivative of -5*s**4/24 - 925*s**3/12 - 1125*s**2 + 3347*s - 2. Determine p so that g(p) = 0.
-180, -5
Let t be 126/(-7) + 3094/168. Let w(a) be the third derivative of t*a**4 + 0*a + 7/30*a**5 + 1/20*a**6 + 21*a**2 + 0 + 1/3*a**3. Factor w(z).
2*(z + 1)**2*(3*z + 1)
Suppose 0 = 42*k - 34*k + 9216. Let j be (-6)/(-11) + k/176 + 6. Solve -2/5*f**4 + 0*f**2 + 0*f + 8/5*f**3 + j = 0.
0, 4
Let u be (((-23526)/(-186))/3)/((-420)/(-16)). Let k = -4/651 + u. Suppose k*d + 1/5*d**3 - 4/5 - d**2 = 0. Calculate d.
1, 2
Solve -64*f**2 - 2*f**5 - 640 - 198*f**3 - 104*f**4 + 185*f - 2*f**5 + 663*f + 2*f**3 + 160*f**4 = 0.
-2, 1, 2, 5, 8
Let l(n) be the first derivative of -231*n**5 - 925*n**4/4 - 80*n**3 - 10*n**2 + 1209. Let l(y) = 0. What is y?
-1/3, -2/7, -2/11, 0
Let g(y) = -3*y**3 + y**2 + 3*y - 3. Let x(a) = -20*a**3 + 220*a**2 - 3065*a + 14685. Let w(z) = 5*g(z) - x(z). Let w(r) = 0. What is r?
14, 15
Let i be 11*(-4)/(-40)*(1296/99)/12. Factor -i*j**2 + 2/5 - 4/5*j.
-2*(j + 1)*(3*j - 1)/5
Find h, given that 30*h**2 - 120 - 130*h + 26*h**2 + 26*h**2 + 5*h**3 - 87*h**2 = 0.
-4, -1, 6
Let r(f) be the first derivative of f**5/10 - 29*f**4/8 - 163*f**3/6 - 235*f**2/4 - 51*f + 2661. What is n in r(n) = 0?
-3, -1, 34
Let u(o) be the third derivative of -3/40*o**4 + 0 + 1/350*o**7 - 1/40*o**6 + 0*o**3 + 7/100*o**5 + 0*o - 74*o**2. Factor u(b).
3*b*(b - 3)*(b - 1)**2/5
Let r(i) = -56*i - 2571. Let d be r(-46). Let u(h) be the third derivative of 0*h**4 + 1/30*h**d + 0*h + 0 - 1/3*h**3 - 20*h**2. Factor u(b).
2*(b - 1)*(b + 1)
Let u(j) be the third derivative of 0*j**3 + 5*j**2 + 3*j + 1/25*j**5 - 1/525*j**7 + 0 + 0*j**4 - 1/60*j**6. Determine p so that u(p) = 0.
-6, 0, 1
Let q(x) be the first derivative of -x**5/150 - 5*x**4/12 + 2*x**2 - 2*x + 30. Let y(h) be the second derivative of q(h). Solve y(f) = 0 for f.
-25, 0
Let y(x) be the third derivative of 0 + 2*x - 1/320*x**6 + 22*x**2 + 1/64*x**4 - 3/8*x**3 + 3/80*x**5. What is q in y(q) = 0?
-1, 1, 6
Let g be (-1)/(-4)*-6 - (-637)/390. Factor 0 + 2/15*a**3 - 2/15*a**2 + g*a**4 - 2/15*a**5 + 0*a.
-2*a**2*(a - 1)**2*(a + 1)/15
Let b be 51/18*(6974/55 + -122). What is p in -24/5*p**3 - 48/5 + b*p + 6/5*p**2 - 2/5*p**4 = 0?
-12, -2, 1
Solve -28*h + 96*h + 4*h**3 - 72*h**2 + 18 - 18 = 0.
0, 1, 17
Let n be (-616)/1470 + (-4)/(-14) - (-38522)/10815. Factor n*i**2 + 15/7*i - 18/7 - 9/7*i**3.
-3*(i - 3)*(i + 1)*(3*i - 2)/7
Find u, given that 8016008/17 + 2/17*u**2 + 8008/17*u = 0.
-2002
Let v = -119 - -121. Let d(n) = -21*n**4 + 50*n**3 - 33*n**2 + 10*n - 2. Let r(o) = -o**3 - 2*o + 1. Let b(p) = v*r(p) + d(p). Factor b(c).
-3*c*(c - 1)**2*(7*c - 2)
Let r(d) be the first derivative of 29/3*d**3 - 8/3*d**4 + 0*d + 19 + 2/15*d**5 + 0*d**2 - 1/360*d**6. Let x(a) be the third derivative of r(a). Factor x(z).
-(z - 8)**2
Let a(n) be the third derivative of -n**5/90 - 7*n**4/3 + 29*n**3 - 2*n**2 + 43*n - 4. Factor a(i).
-2*(i - 3)*(i + 87)/3
Let j(b) be the first derivative of -b**3/6 + 11*b**2/4 + 40*b - 1468. Determine w so that j(w) = 0.
-5, 16
Let y(s) be the first derivative of -3/16*s**4 + 0*s**2 + 71 + 0*s - 1/2*s**3. Factor y(o).
-3*o**2*(o + 2)/4
Let p be 1170/21 - 3/(42/(-4)). Factor 16*k**3 + 450*k**2 + 24*k**4 + 3*k**5 + 48*k + p*k**3 - 354*k**2.
3*k*(k + 2)**4
Let k = -3094 + 3098. Let w(a) be the third derivative of 0*a - 13*a**2 + 0 + 2/21*a**3 - 1/105*a**5 + 0*a**k. Suppose w(z) = 0. What is z?
-1, 1
Let v(m) = -3*m**3 + 127*m**2 + 36*m - 88. Let w(h) = -2*h**3 + 64*h**2 + 14*h - 44. Let a(q) = 8*v(q) - 18*w(q). Let a(t) = 0. What is t?
-2/3, 1, 11
Solve 2884*u**2 + 10/3*u**4 + 1280 - 222*u**3 + 13168/3*u = 0 for u.
-1, -2/5, 20, 48
Let j(h) be the third derivative of 0 + 32*h**2 + 0*h**5 + 1/9*h**4 + 0*h**3 - 1/60*h**6 - 1/315*h**7 + 0*h. Factor j(x).
-2*x*(x - 1)*(x + 2)**2/3
Factor 1/5*h**3 - 51/5*h + 54/5 - 4/5*h**2.
(h - 9)*(h - 1)*(h + 6)/5
Let v(l) = 45*l**2 - 335*l - 85. Let o(k) = -158*k**2 + 1175*k + 298. Let q(i) = 5*o(i) + 18*v(i). Factor q(b).
5*(b - 8)*(4*b + 1)
Let m(i) be the third derivative of -i**7/210 + i**6/3 - 463*i**5/60 + 93*i**4/2 + 270*i**3 - 1534*i**2. Factor m(d).
-(d - 18)**2*(d - 5)*(d + 1)
Suppose -13047 = 2*v - 13075, 7*o = 5*v - 56. Factor -2/5*a**3 - 256/5 - 192/5*a - 36/5*a**o.
-2*(a + 2)*(a + 8)**2/5
Let s = 287264 - 1436319/5. Solve -6/5*y + 0 + 0*y**3 + s*y**4 - 7/5*y**2 = 0.
-2, -1, 0, 3
Let k = -13339742 + 80638745221/6045. Let i = 1/1209 + k. Solve -i*q + 0 + 6/5*q**2 - 2/5*q**3 = 0.
0, 1, 2
Let g(u) be the first derivative of u**4/16 + 11*u**3/6 - 51*u**2/8 - 18*u + 167. Suppose g(y) = 0. What is y?
-24, -1, 3
Let o be (-12)/(-2) - (-8 - -5 - -6). Factor -13*t**3 + 608*t**2 - 96*t - 524 - 11*t**o - 52 - 180*t**4 + 50*t**5 - 24*t**3.
2*(t - 2)**3*(5*t + 6)**2
Let d be ((1 + (-52)/36)*-6)/((-68)/(-51)). Factor -24/7 + 18/7*v - 3/7*v**d.
-3*(v - 4)*(v - 2)/7
Let a(q) = -q**2 + q. Let g be a(1). Let n be g + 0 - ((-1)/(-1) - 4). Let 11*z**n + z**3 + 12*z - 76*z + 45 + 3 - 20*z**2 = 0. What is z?
-2, 2/3, 3
Let i be 200/160 + 6/8 + 0. Factor -61*g**2 + 3*g**3 - 26*g**2 + 42*g**i.
3*g**2*(g - 15)
Suppose -221*w + 564 - 122 = 0. Factor 2/7*y + 0 + 0*y**w - 2/7*y**3.
-2*y*(y - 1)*(y + 1)/7
Let j(m) be the third derivative of -m**7/840 - 37*m**6/720 - 17*m**5/60 - m**4/8 + m**2 + 51*m. Let h(d) be the second derivative of j(d). Factor h(c).
-(c + 1)*(3*c + 34)
Let s(y) be the first derivative of 242*y**4/3 + 517*y**3/9 - 65*y**2/3 - 25*y + 3678. Suppose s(l) = 0. What is l?
-5/11, 3/8
Suppose -22*i + 30 = 13 + 17. Let k(x) be the third derivative of 5/3*x**3 + i*x**5 - 43*x**2 + 0*x + 1/24*x**6 - 5/8*x**4 + 0. Factor k(b).
5*(b - 1)**2*(b + 2)
Let d(o) be the third derivative of -1/48*o**4 + 0 + 9*o**2 + 0*o + 1/60*o**5 + 0*o**3 - 1/240*o**6. Find x, given that d(x) = 0.
0, 1
Let l(y) be the first derivative of 1/48*y**6 + 0*y + 7/40*y**5 + 13/32*y**4 - 9/8*y**2 