+ 77 - 24*z**3 - 142 + 77.
-2*(z - 3)*(3*z - 2)*(4*z - 1)
Let j(u) be the first derivative of -u**5/20 + u**4/16 + 13*u**3/4 + 31*u**2/8 - 35*u/2 + 2126. Solve j(g) = 0.
-5, -2, 1, 7
Let c(v) be the first derivative of -v**4/4 - v**2 + 4*v + 13. Let d be c(0). Factor -x**d - 3*x**5 - 12*x**4 + 2*x**3 - 12*x**5.
-x**3*(x + 1)*(15*x - 2)
Suppose -302016*z**4 - 288 - 138104*z**2 + 2642*z - 24689*z**5 - 519596*z**3 - 23227*z**5 - 13922*z = 0. Calculate z.
-3, -2/11, -2/33
Suppose 181*a = 174*a + 693. Factor 160*t**3 - 833*t**4 - 28*t**3 + 179*t**3 - 5*t**3 - 300*t**2 + a*t + 3*t**5 + 725*t**4.
3*t*(t - 33)*(t - 1)**3
Suppose s + 8 = 9*v - 4*v, 0 = 3*v - 6. Let j(i) be the first derivative of 3*i + i**s - 1/3*i**3 + 18. Determine k so that j(k) = 0.
-1, 3
Suppose 4*t + 20 = 0, 9*b - 2*t - 8 = 10*b. Let c = 1538/5 + -306. Factor -2*l**b + 16/5*l + 2/5*l**3 - c.
2*(l - 2)**2*(l - 1)/5
Let q(x) be the first derivative of 1/22*x**4 - 14 + 0*x - 1/11*x**2 - 2/33*x**3 + 2/55*x**5. Let q(s) = 0. What is s?
-1, 0, 1
Suppose -1070*d - 41370*d**2 - 161 + 1236 + 41365*d**2 = 0. What is d?
-215, 1
Let g = 1/656 - -635/13776. Let r(i) be the second derivative of -1/42*i**4 + 0*i**2 + 11*i + 0 + g*i**3. Find p, given that r(p) = 0.
0, 1
Let d(w) be the second derivative of w**7/1890 + w**6/405 - 13*w**3 - 2*w - 31. Let m(u) be the second derivative of d(u). Find p, given that m(p) = 0.
-2, 0
Let -4/7*t**4 + 856/7*t**2 + 0*t + 0 + 60*t**3 = 0. Calculate t.
-2, 0, 107
Let j(q) be the first derivative of 5/2*q**2 + 1/140*q**5 + 3/14*q**3 + 0*q + 1/14*q**4 + 9. Let c(w) be the second derivative of j(w). Factor c(i).
3*(i + 1)*(i + 3)/7
Let k = -5710200/7 - -815746. Factor 10/7*w**3 + k*w**2 - 16/7 - 4/7*w.
2*(w + 1)*(w + 2)*(5*w - 4)/7
Let a(z) be the third derivative of -5*z**8/112 - 8*z**7/21 + z**6/6 + 9*z**5/2 + 235*z**4/24 + 25*z**3/3 - 3896*z**2. Solve a(p) = 0 for p.
-5, -1, -1/3, 2
Let g(x) = 19*x**3 - 10*x**2 - 101*x - 60. Let j(m) = -38*m**3 + 19*m**2 + 204*m + 121. Let v(s) = 13*g(s) + 6*j(s). Suppose v(b) = 0. Calculate b.
-1, 54/19
Let n(o) be the third derivative of -o**7/1575 + o**6/36 - 47*o**5/450 + 23*o**4/180 + 910*o**2. Factor n(q).
-2*q*(q - 23)*(q - 1)**2/15
Suppose -699*p - 1217 + 118*p - 319 - 181*p + 78*p**2 - 75*p**2 = 0. What is p?
-2, 256
Let s(y) = -5*y**2 + 15*y - 150. Let g(n) = 4*n**2 - 7*n + 75. Let w(f) = -5*g(f) - 3*s(f). Let w(u) = 0. Calculate u.
-5, 3
Let l(f) be the first derivative of -17 - 10*f**2 + 0*f + f**5 - 5/2*f**4 - 35/3*f**3. Factor l(k).
5*k*(k - 4)*(k + 1)**2
Suppose -2*p + 5 = b, 5*p - 22 = -7. Let k(u) = -18*u**2 + 57*u - 11. Let a(j) = -j + 1. Let d(t) = b*a(t) + k(t). Factor d(x).
-2*(x - 3)*(9*x - 2)
Let r(l) be the first derivative of l**5/30 - l**4/3 - 7*l**3 + 33*l**2/2 - 210. Let g(q) be the second derivative of r(q). Factor g(k).
2*(k - 7)*(k + 3)
Let o = 20313 + -426572/21. Let x(r) be the first derivative of -19 + o*r**3 + 16/7*r - 4/7*r**2. What is n in x(n) = 0?
4
Suppose -t = -38 + 43. Let x = 8 + t. Factor 0 - 28*m**2 + 14*m - 34*m - 4 - 12*m**x.
-4*(m + 1)**2*(3*m + 1)
Let o(m) be the second derivative of m**7/1260 + 3*m**6/80 + 13*m**5/24 + 169*m**4/144 - 38*m**2 + 175*m. Let i(k) be the first derivative of o(k). Factor i(a).
a*(a + 1)*(a + 13)**2/6
Let v(g) be the second derivative of -155*g**4/4 + 80*g**3/3 + 50*g**2 - g - 102. Factor v(z).
-5*(3*z - 2)*(31*z + 10)
Let d(n) be the first derivative of n**3/3 - 987*n**2 + 1973*n - 4118. Determine u, given that d(u) = 0.
1, 1973
Let l be (-352)/(-10)*(-4104)/(-3762). Find i such that -672/5*i**4 + 15*i - 6/5 - 348/5*i**2 + l*i**5 + 732/5*i**3 = 0.
1/4, 1/2, 2
Suppose -86 = -62*o + 100. Let -15/11*i - 1/11*i**o + 9/11 + 7/11*i**2 = 0. Calculate i.
1, 3
Let q = -281 + 282. Suppose 0 = -a + 3*k + q, -5*a - 129*k + 16 = -133*k. Determine v, given that -2*v**3 - 12/7 + 46/7*v**2 - 10/7*v**a - 10/7*v = 0.
-3, -2/5, 1
Let w(n) be the second derivative of 0*n**5 - 3 - 1/6*n**4 + n + 0*n**3 + 1/30*n**6 + 1/2*n**2. Factor w(z).
(z - 1)**2*(z + 1)**2
Let r = 1150/431 - 4169/1724. What is t in r*t**2 - 5/2 - 3/4*t = 0?
-2, 5
Let z(t) = 13*t**3 - 12*t**2 - 559*t - 294. Let o(c) = -2*c**3 + 64*c. Let w(m) = -6*o(m) - z(m). Suppose w(l) = 0. What is l?
-7, -2, 21
Let h be (-6 - -5)*(-16 + (-2478)/(-154)) - (-38)/55. Factor -18/5*q**4 + 0*q**2 - 24/5*q**3 + 0 + 0*q - h*q**5.
-3*q**3*(q + 2)*(q + 4)/5
Solve -17616*u**2 - 24410118*u - 47056026183 + 3*u**3 - 5*u**3 - 27310458*u - 3561177529 = 0.
-2936
Let a(o) be the third derivative of -o**8/1680 - 13*o**7/1050 - 11*o**6/100 - 27*o**5/50 - 63*o**4/40 - 27*o**3/10 + 248*o**2 + 3. Find j such that a(j) = 0.
-3, -1
Let z(j) be the second derivative of j**9/1296 - j**8/504 - j**7/2520 + j**6/270 - 37*j**3/6 + j. Let s(b) be the second derivative of z(b). Factor s(w).
w**2*(w - 1)**2*(7*w + 4)/3
Let p(f) be the second derivative of f**6/50 - 333*f**5/50 + 9637*f**4/20 + 148962*f**3/5 + 2701446*f**2/5 - 611*f. Factor p(d).
3*(d - 122)**2*(d + 11)**2/5
Let l = -2642 + 4416. Determine u so that u**3 + 1774 - 5*u**2 - l = 0.
0, 5
Let t(u) = -2*u**2 + 24*u + 8. Let z be t(12). Suppose 3*a - z = -a. Factor -3*r**2 + 11*r**3 - 3*r**a + 2*r**2 - 7*r**3.
4*r**2*(r - 1)
Let v(a) = a**4 + a**2 + a. Let t(s) be the second derivative of -5*s**6/6 + 5*s**5/4 + 7*s**4/3 + 2*s + 8. Let u(b) = t(b) + 4*v(b). Factor u(h).
-h*(h - 2)*(3*h + 2)*(7*h + 1)
Suppose 5*i + 2*d = 8*i + 1060, 2*d - 1414 = 4*i. Let g = i - -711/2. Factor -1/2*b - b**3 - g*b**2 + 0.
-b*(b + 1)*(2*b + 1)/2
Suppose 1/10*d**3 - 53/10*d**2 - 28/5*d + 54/5 = 0. What is d?
-2, 1, 54
Factor -11025/2*y - 3/2*y**3 + 315/2*y**2 + 128625/2.
-3*(y - 35)**3/2
Let z = 505093 - 505091. Factor 23232/5*u + 340736/5 + 528/5*u**z + 4/5*u**3.
4*(u + 44)**3/5
Let u be 56/2024*(-30)/(-35). Let b = u + 747/506. Factor b*k**3 + 5/2*k**2 - 3/2*k - 1/2*k**4 - 2.
-(k - 4)*(k - 1)*(k + 1)**2/2
Let -6908*t + 13496*t - 1068*t**3 + 364*t**4 - 4*t**5 + 1060*t**2 - 6940*t = 0. Calculate t.
0, 1, 88
Let h(s) be the second derivative of 11*s**7/441 - 5*s**6/21 + 151*s**5/210 - 113*s**4/126 + 2*s**3/7 + 8*s**2/21 + 3288*s. Solve h(z) = 0.
-2/11, 1, 4
Let q(l) = -11*l**3 - 251*l**2 - 297*l + 3. Let w(n) = 31*n**3 + 696*n**2 + 892*n - 8. Let r(d) = -8*q(d) - 3*w(d). Find z such that r(z) = 0.
-10, -6, 0
Suppose d = 29*g - 28*g + 1, d + 2 = 4*g. Let w(a) be the second derivative of 0*a**3 + 0 - 1/21*a**4 + 15*a + 0*a**d + 2/105*a**6 + 0*a**5. Factor w(s).
4*s**2*(s - 1)*(s + 1)/7
What is r in 308/5 + 123/2*r - 1/10*r**2 = 0?
-1, 616
Let w(c) be the second derivative of -2/5*c**5 + 0 - 119*c + 144*c**2 - 184*c**3 - 95/6*c**4. Suppose w(d) = 0. Calculate d.
-12, 1/4
Let o(w) = -w**3 + 5*w**2 + w. Let s(u) = 12*u**3 + 555*u**2 - 1848*u - 2436. Let j(q) = -9*o(q) - s(q). Let j(y) = 0. What is y?
-203, -1, 4
Determine y, given that -2/3*y**3 + 1186/3*y + 28/3*y**2 + 748 = 0.
-17, -2, 33
Let r = -3455 - -3459. Let f(h) be the first derivative of -5/12*h**3 + 15/4*h + 5/4*h**2 + r. Factor f(s).
-5*(s - 3)*(s + 1)/4
Let f(h) be the first derivative of -5*h**3/6 + 627*h**2/4 - 125*h + 1077. Factor f(z).
-(z - 125)*(5*z - 2)/2
Solve -24795*i - 523967*i**4 - 9005*i + 894316*i**2 - 4605*i + 1936 - 33843*i - 156033*i**4 - 31250*i**5 - 3616850*i**3 = 0 for i.
-11, 2/25
Let m be (-92)/575*(-4)/6*225/30. Let -4*k**2 + 16/5 + 0*k + m*k**4 + 0*k**3 = 0. Calculate k.
-2, -1, 1, 2
Let l = -334 + 338. Factor -137*j + l*j**2 + 64 + 382*j - 177*j.
4*(j + 1)*(j + 16)
Let n(y) = 848*y + 18656. Let j be n(-22). Let c(p) be the second derivative of -25/3*p**3 + j - 49*p - 15/2*p**2 - 35/12*p**4. Factor c(o).
-5*(o + 1)*(7*o + 3)
Factor 0 - 1/6*h**4 - 67/6*h**3 - 11*h**2 + 0*h.
-h**2*(h + 1)*(h + 66)/6
Factor -122*s**2 - 139*s**2 - 5*s - 61*s**2 - 3*s - 82*s**2.
-4*s*(101*s + 2)
Let w be ((-286)/(-55) - 19) + 14. Let z(i) be the first derivative of 0*i + 0*i**5 - 11 - 1/15*i**6 - 1/5*i**2 + 0*i**3 + w*i**4. Factor z(f).
-2*f*(f - 1)**2*(f + 1)**2/5
Let l be ((-159)/6)/(4/(-48)*2). Suppose p - 4 = i, 0*i + 2*i + 4 = 0. Factor -8*r**p + 2*r**3 + r**3 + 167 - l - 7*r**3 + 4*r.
-4*(r - 1)*(r + 1)*(r + 2)
Suppose 7*i - 470 = 54*i. Let u be i + (-774)/(-27)*1. Factor -16 + 2*g**3 - 4*g**2 + 2/3*g**4 - u*g.
2*(g - 3)*(g + 2)**3/3
Let 