v).
2*v**2*(3*v - 2)/3
Let y = -503 + 524. Let z be 272/119 + (-6)/y. Factor -1/4*f**z + 1/4 + 0*f.
-(f - 1)*(f + 1)/4
Let b(u) be the third derivative of -u**7/420 - 397*u**6/240 + 399*u**5/40 - 1199*u**4/48 + 100*u**3/3 - 240*u**2. Let b(a) = 0. Calculate a.
-400, 1
Factor -397535/2 - 212635*u - 325*u**3 - 14190*u**2 - 5/2*u**4.
-5*(u + 1)*(u + 43)**3/2
Let d = -53048 - -317113/6. Let s = d - -196. Factor -1/3 - 1/6*v + s*v**3 + 1/3*v**2.
(v - 1)*(v + 1)*(v + 2)/6
Let a(z) be the second derivative of -z**5/13 - 3421*z**4/78 - 97584*z**3/13 - 29241*z**2/13 - 421*z. Factor a(d).
-2*(d + 171)**2*(10*d + 1)/13
Let t be (-12)/(-7)*21/6. What is c in -4*c**2 - 14 + 3*c**3 + 2 + t*c**2 + 7*c**2 = 0?
-2, 1
Let h be (-14)/3*((-44)/(-14) + -4). Suppose 0 = -h*t - 20, -3*t - 15 = 4*v - 2*v. Let -29*i + 31*i - i**2 + v*i**2 = 0. Calculate i.
0, 2
Let q(c) be the third derivative of -10*c**2 + 3/5*c**3 + 0*c + 3/50*c**5 + 1/200*c**6 + 11/40*c**4 - 2. Suppose q(i) = 0. What is i?
-3, -2, -1
Suppose 19 = 4*h + p, -4*p + 9 = -p. Let t(s) = -7*s**2 + 143*s + 125*s - 10 - 281*s. Let k(j) = -j**2 - j - 1. Let f(v) = h*k(v) - t(v). Solve f(b) = 0.
-2, -1
Let g(d) = -6*d**3 + 7*d - 2. Let k(m) = 16*m**2 + m**3 - 4*m**2 - 14*m**2. Let n(y) = 5*g(y) - 5*k(y). Factor n(l).
-5*(l - 1)*(l + 1)*(7*l - 2)
Let y be 0 + 0 - 5478/(-484). Let j = 130/11 - y. Determine t, given that 0*t + 2*t**3 + 0 + j*t**5 + 0*t**2 + 2*t**4 = 0.
-2, 0
Let z(k) = -2*k**3 + 18 - 23*k + 619*k**2 + 2 - 609*k**2. Let c(q) = q**3 - q**2 - q. Let v(i) = 4*c(i) + 4*z(i). Solve v(a) = 0 for a.
2, 5
Let c(d) be the third derivative of d**5/45 + 13*d**4/9 - 310*d**3/9 - 400*d**2 + 5. Solve c(x) = 0.
-31, 5
Let h = 1471354/3 + -490451. What is l in -4/3*l + 22/3*l**2 + h*l**5 - 8 - 4/3*l**4 - l**3 = 0?
-2, -1, 2, 3
Let v = -2501 - -2525. Let g(k) be the first derivative of 1/4*k**4 + 64*k + 4*k**3 - 19 + v*k**2. Factor g(m).
(m + 4)**3
Let b = 5 + -2. Let l be (b/4)/((-3)/(-8)). Solve l*q**2 + 10*q**2 - 2*q**3 - 64 - 6*q + 6*q = 0 for q.
-2, 4
Let w(g) be the second derivative of -g**4/2 - 1030*g**3/3 - 343*g**2 + 230*g - 2. Factor w(j).
-2*(j + 343)*(3*j + 1)
Let f = -36 + 44. Suppose 4 = f*l - 6*l. Factor -28*j + 15*j**2 - 5*j**3 + 18*j + 0*j**l.
-5*j*(j - 2)*(j - 1)
Suppose 344/5*p**3 + 664/5*p + 0 - 4/5*p**4 - 1004/5*p**2 = 0. What is p?
0, 1, 2, 83
Let z(y) = 7*y**2 + 40*y + 41. Let s(h) = -13*h**2 - 79*h - 80. Suppose 0 = -2*l - 4 + 12. Let q(o) = l*s(o) + 7*z(o). Factor q(g).
-3*(g + 1)*(g + 11)
Let m(q) be the first derivative of -q**6/39 - 12*q**5/65 + 8*q**4/13 + 5345. Solve m(k) = 0 for k.
-8, 0, 2
Let f(v) be the first derivative of -4*v**5/25 + 10184*v**4/5 - 51856928*v**3/5 + 132027738688*v**2/5 - 168071311349824*v/5 - 7012. Factor f(s).
-4*(s - 2546)**4/5
Let a(w) be the second derivative of -w**6/45 - 17*w**5/8 - 383*w**4/24 - 416*w**3/9 - 59*w**2 + 266*w. Let a(j) = 0. Calculate j.
-59, -2, -3/4
Let g(q) = q**3 + 15*q**2 + 11*q + 28. Let x be g(-11). Determine h so that -17*h**2 + 3*h**2 + 290*h - x + 6*h**2 + 4596 + 13*h**2 = 0.
-29
Let a(d) be the second derivative of -25/84*d**7 - 88/3*d**3 - 16*d**2 - 8/5*d**5 - 133/6*d**4 + 31/12*d**6 + 0 + 48*d. Determine i so that a(i) = 0.
-1, -2/5, 4
Let n(k) be the second derivative of -9*k**5/70 + 68*k**4/3 + 308*k**3/3 + 432*k**2/7 + 3580*k. Suppose n(i) = 0. Calculate i.
-2, -2/9, 108
Let d(w) be the first derivative of -w**5/15 - 13*w**4/12 - 11*w**3/9 + 13*w**2/6 + 4*w + 2079. Factor d(c).
-(c - 1)*(c + 1)**2*(c + 12)/3
Suppose -52*v - 29*v + 128 = -115. Let h(o) be the first derivative of 0*o**2 + 2/75*o**5 - 1/30*o**4 + 0*o**v + 9 + 0*o. Factor h(j).
2*j**3*(j - 1)/15
Let r(u) be the third derivative of u**5/15 + 49*u**4 - 2384*u**3/3 + 4762*u**2. Find a such that r(a) = 0.
-298, 4
Let y(s) be the third derivative of s**5/120 + 205*s**4/16 + 613*s**3/6 + s**2 + 565. Determine v, given that y(v) = 0.
-613, -2
Let x(s) = 5*s**2 + 79*s - 14. Let t be x(-16). Factor -3*v**t + 7605 - 3*v**2 + 33*v**2 - 390*v - 22*v**2.
5*(v - 39)**2
Let q(o) = 17*o**3 - 5*o**2 - o. Let f be q(-1). Let d be (10/(-7) + f/(-49))/(-10). Factor 0 - 1/5*c - d*c**2.
-c*(c + 2)/10
Suppose 27 = 3*v + 5*m, -6*v + 5*v + 1 = -m. Find g such that 26*g**2 + 32*g**3 - 159*g - 2*g**4 - 128 + 447*g - 240*g**2 + 20*g**2 + v*g**3 = 0.
1, 8
Solve 0 - 64/9*r**2 + 2/9*r**5 - 38/9*r**4 + 0*r + 100/9*r**3 = 0 for r.
0, 1, 2, 16
Let r(o) be the third derivative of -13*o**6/660 + 67*o**5/330 + 43*o**4/33 - 28*o**3/33 + 28*o**2 + 8*o. Solve r(v) = 0 for v.
-2, 2/13, 7
Factor -1124/7*v**2 - 2/7*v**4 + 0 + 0*v - 1126/7*v**3.
-2*v**2*(v + 1)*(v + 562)/7
Let g be 4 + (3 + -1)*1/2. Factor b**4 - 4*b**3 - b**2 + 6*b**g - 12*b**5 + 10*b**5.
b**2*(b - 1)*(b + 1)*(4*b + 1)
Factor -28 + 0*x**3 + 437*x - 14 - 523*x - 46*x**2 - 2*x**3.
-2*(x + 1)**2*(x + 21)
Let v = 1293251/3 + -431083. Determine a, given that -v*a**2 + 16/3*a - 32/3 = 0.
4
Let b(r) be the second derivative of 9*r - 3/80*r**5 + 0 - 7/16*r**4 - 27/8*r**2 + 17/8*r**3. Factor b(v).
-3*(v - 1)**2*(v + 9)/4
Let c be 94/18 + 1 - 20/90. Find h such that -35*h - 22*h**2 + 4*h**3 + c*h**2 + 19*h + 64 = 0.
-2, 2, 4
Let d(j) = 4*j**2 - 25*j - 285. Let g(x) = -15*x**2 + 93*x + 1140. Let b(n) = -11*d(n) - 3*g(n). Factor b(v).
(v - 19)*(v + 15)
Let t be -1*(5/(-2))/((-14)/(-28)). Let q(g) = -7*g**2 - 48*g + 59. Let b(i) = -40*i**2 - 264*i + 324. Let k(n) = t*b(n) - 28*q(n). What is j in k(j) = 0?
2, 4
Let k(o) = -14*o - 74. Let t be k(-7). Determine d so that -62*d**2 + 160*d + t*d**2 - 6 - 1274 + 33*d**2 = 0.
16
Let y(n) be the third derivative of n**8/12600 + 31*n**7/6300 - 4*n**6/225 - 17*n**5/60 - 3*n**2 - 2. Let x(p) be the third derivative of y(p). Factor x(t).
4*(t + 16)*(2*t - 1)/5
Suppose 0 = 111*z - 39*z + 144. Let s be z/4*(18 - 22). Solve -34/9*x**s + 4/3*x**4 - 8/9 - 32/9*x + 2/9*x**3 = 0 for x.
-1, -2/3, -1/2, 2
Factor -2/3*p**2 - 44/3*p - 80/3.
-2*(p + 2)*(p + 20)/3
Determine v, given that -2*v**3 + 25773*v**4 - 2 - 9 + v**2 + 9*v**2 - 25772*v**4 + 14*v**3 - 12*v = 0.
-11, -1, 1
Let t(d) be the first derivative of -d**6/12 + 147*d**5/5 - 28811*d**4/8 + 470449*d**3/3 + 7203*d**2 - 470596*d - 1275. Suppose t(u) = 0. Calculate u.
-1, 1, 98
Let c(q) be the third derivative of q**5/510 - 161*q**4/68 - 484*q**3/51 - 8*q**2 + 133*q. Solve c(l) = 0.
-1, 484
Let s = -655 + 684. Factor -5*y**4 - s*y**3 - 5*y - y**4 - 13*y**2 - 10*y**2 + 26 + 34*y + 3*y**4.
-(y - 1)*(y + 1)**2*(3*y + 26)
Let q be 3115511/14812 - (6/69)/((-7)/(-7)). Solve 1/4*j**2 + q + 29/2*j = 0.
-29
Let i(c) be the second derivative of -4*c**5 + 630*c**4 - 1255*c**3/2 + 235*c**2 + 8*c + 14. What is k in i(k) = 0?
1/4, 94
Let z be (-2)/(-2) + -5 + 17. Suppose 12*w**2 + 27 - z*w + 22*w + 36*w + 23 + w**3 = 0. What is w?
-5, -2
Suppose 9*d - 7 - 16 - 13 = 0. Let k(c) be the first derivative of 1/6*c**d + 2/3*c**3 + 2/3*c**2 + 8 + 0*c. What is x in k(x) = 0?
-2, -1, 0
Let r(v) be the first derivative of 28*v**5/5 - 44*v**4 - 148*v**3/3 + 28*v**2 + 3657. Factor r(u).
4*u*(u - 7)*(u + 1)*(7*u - 2)
Suppose 11*a - 183 = -150. Factor 12/7*z - 10/7*z**2 + 2/7*z**4 + 0 - 4/7*z**a.
2*z*(z - 3)*(z - 1)*(z + 2)/7
Let k = 270947/6 - 45157. Let -k*d**2 - 55/6 - 10*d = 0. Calculate d.
-11, -1
Factor -14008/3*d + 2/9*d**4 + 136/3*d**3 + 20396/9*d**2 + 21218/9.
2*(d - 1)**2*(d + 103)**2/9
Let q(m) be the first derivative of -5*m**5/4 + 35*m**4/16 + 115*m**3/12 + 25*m**2/8 - 15*m/2 + 4458. Suppose q(h) = 0. What is h?
-1, 2/5, 3
Let b = 18060 - 18060. Let w(z) be the first derivative of -15/8*z**2 - 28 + 5/12*z**3 + b*z. Factor w(k).
5*k*(k - 3)/4
Let g(f) = -13*f**2 - 570*f + 12. Let r(m) = 2*m**2 + 6*m - 2. Let t(j) = -5*g(j) - 30*r(j). Factor t(d).
5*d*(d + 534)
Let u be 0/(-8 + -4)*(-3)/(-6). Let k(d) be the second derivative of 0*d**2 - 1/25*d**5 - 4/15*d**3 + u - 1/5*d**4 - 17*d. Suppose k(o) = 0. Calculate o.
-2, -1, 0
Let l be 4/(-26) - 191*(-30)/65. Let q = 90 - l. Find a, given that -8*a**3 - 10 + 10*a**2 - 8 - 2*a**2 + 24*a - q*a**4 - 4*a**2 = 0.
-3, 1
Suppose 0 = -11*r - 5*r. Let w = r - -2. Factor 2/5*m**w - 2/5*m + 2/5*m**3 - 2/5.
2*(m - 1)*(m + 1)**2/5
Let j(i) be the second derivative of -i**4/24 - 47*i**3/12 - 23*i**2/2 + 112*i. Factor j(r).
-(r + 1)*(r + 46)/2
Fact