+ 11*v**5/96 - 7*v**4/24 - 713*v**2. Find j such that y(j) = 0.
-56, 0, 1
Let l = -20 + 17. Let v be ((-4)/l)/((-1)/(-3) - 0). Factor b**3 + 4*b**v + 0*b**4 + 7*b**3 - 4 - 8*b.
4*(b - 1)*(b + 1)**3
Let s = -13 - -27/2. Let d = -25672 - -154033/6. Solve -s*y - d*y**2 + 0 = 0.
-3, 0
Let i(k) be the third derivative of -k**5/40 - 793*k**4/48 + 265*k**3/6 - 18*k**2 - 14. Factor i(a).
-(a + 265)*(3*a - 2)/2
Let z = 23908 + -23906. Let l(b) be the second derivative of 22/5*b**3 + 0 - 1/10*b**4 - 363/5*b**2 - z*b. Let l(p) = 0. Calculate p.
11
Factor -52/5*o + 9/5*o**2 + 0 + 1/5*o**3.
o*(o - 4)*(o + 13)/5
Factor 1/4*f**2 + 49*f + 2401.
(f + 98)**2/4
Find a such that -284*a**2 - 1576828*a**3 + 380*a - 3*a**4 + 200 + 16*a**4 + 1576316*a**3 - 43*a**4 - 18*a**4 = 0.
-10, -1, -1/2, 5/6
Let y = 102 + -92. Suppose -3*g = -y - 2. Factor -25*x**g - 10*x**2 - 28*x**4 + 58*x**4 + 5*x**3.
5*x**2*(x - 1)*(x + 2)
Let r(q) be the third derivative of 0*q**4 - 7/160*q**6 + 9/40*q**5 + 0*q - 1/280*q**7 - 5*q**2 + 0*q**3 - 2. Factor r(z).
-3*z**2*(z - 2)*(z + 9)/4
Let m(d) be the third derivative of -d**6/360 + d**5/20 + 2*d**4/3 - 31*d**3/6 + 28*d**2 + 4. Let r(s) be the first derivative of m(s). Factor r(j).
-(j - 8)*(j + 2)
Let x be (9/30)/((-117)/(-390))*(-5 - -5). Solve -3/5*l**4 + 0*l - 21/5*l**2 - 24/5*l**3 + x = 0 for l.
-7, -1, 0
Let p(a) = -398*a + 166764. Let y be p(419). Factor 7/9*l - 1/9*l**y + 0.
-l*(l - 7)/9
Suppose -595 = -143*n + 136*n. Let z = n - 82. Factor -9/2*i + z + 3/2*i**2.
3*(i - 2)*(i - 1)/2
Let l(q) be the first derivative of -q**5/100 + 7*q**4/20 - 33*q**3/10 - 52*q**2 - q - 177. Let y(p) be the second derivative of l(p). Solve y(v) = 0.
3, 11
Let z(t) be the second derivative of -78*t - 3/2*t**3 + 1/4*t**4 + 0*t**2 + 0. Solve z(y) = 0 for y.
0, 3
Suppose 4*i - 516 + 486 = -3*h, 3*h + 24 = 5*i. Let g be 18/15*(-40)/(-6). Factor -32 - 1/2*o**h + g*o.
-(o - 8)**2/2
Suppose j + 4 = -2*a, -4*a = 468*j - 474*j - 56. Determine o, given that -2*o**3 + 0*o + 0 + 2/3*o**4 + 4/3*o**a = 0.
0, 1, 2
Let f = 24125/16074 - 7/8037. What is h in 9/2*h + 15 - f*h**2 = 0?
-2, 5
Let a = 25759/9393 - 237/3131. What is z in 16*z**3 + 4/3*z + 26/3*z**2 + a*z**5 + 0 + 34/3*z**4 = 0?
-2, -1, -1/4, 0
Factor 3114/13 - 346/13*f**2 + 2/13*f**3 - 18/13*f.
2*(f - 173)*(f - 3)*(f + 3)/13
Let g(i) = -2*i**2 + 10*i - 10. Let k be g(3). Solve -53*h**4 + 30*h - k*h**4 + 35*h**2 + 50*h**4 = 0.
-2, -1, 0, 3
Let p(s) = -19*s**2 - 11*s + 180. Let f(y) = -8*y**2 - 6*y + 90. Suppose -4*m + 5*l - 11 = 0, -m + 4*m - 4*l = -8. Let t(i) = m*p(i) + 10*f(i). Factor t(q).
-4*(q - 5)*(q + 9)
Let m(v) be the first derivative of -2*v**5/15 - 3*v**4/2 - 46*v**3/9 - 5*v**2 - 2804. Factor m(h).
-2*h*(h + 1)*(h + 3)*(h + 5)/3
Let d(q) = -2*q**3 - 21*q**2 - 248*q - 1160. Let r be d(-6). Suppose -8/3*l + 0 - 4/3*l**4 - 4/3*l**5 + r*l**3 + 4/3*l**2 = 0. What is l?
-2, -1, 0, 1
Find t, given that 38720*t - 67200 + 3840/7*t**3 - 48376/7*t**2 - 142/7*t**4 + 2/7*t**5 = 0.
3, 14, 20
Solve 123/2*p**2 + 3/2*p**5 + 33*p - 69/2*p**3 - 60 - 3/2*p**4 = 0.
-5, -1, 1, 2, 4
Let a(y) be the third derivative of -y**5/150 - 19*y**4/20 - 136*y**3/3 + 69*y**2 + 18*y - 2. Factor a(b).
-2*(b + 17)*(b + 40)/5
Let s(v) be the second derivative of -v**5/10 - 14*v**4 + v**3/3 + 84*v**2 + 636*v. Factor s(d).
-2*(d - 1)*(d + 1)*(d + 84)
Find s such that 158*s + s**2 + s**2 - 323*s + 155*s - 12 = 0.
-1, 6
Let w(g) be the first derivative of -5*g**4/4 - 580*g**3/3 + 5*g**2/2 + 580*g - 2006. Determine v so that w(v) = 0.
-116, -1, 1
Let x(i) = 42*i**2 + 712*i - 31. Let p be x(-17). Let g(s) be the first derivative of 50/3*s + 10/3*s**2 - 8 + 2/9*s**p. Factor g(d).
2*(d + 5)**2/3
Let k(o) = -22*o - 47. Let s be k(-5). Suppose 0 = 15*j - s + 3. Factor 0*r**2 - 6/5*r + 6/5*r**3 - 3/5*r**j + 3/5.
-3*(r - 1)**3*(r + 1)/5
Let u(q) = q**2 - 15*q + 1. Let r be u(15). Let k be 14*(-4 - r)/(-25). Factor k*x + 2*x**2 + 2/5*x**3 + 6/5.
2*(x + 1)**2*(x + 3)/5
Let s(r) = -r**3 - 3*r**2 - 2*r + 3. Let x(u) = -135*u**3 - 425*u**2 + 210*u + 90. Let p(n) = -30*s(n) + x(n). Factor p(i).
-5*i*(3*i - 2)*(7*i + 27)
Factor -56/11 - 34/11*i - 2/11*i**3 + 20/11*i**2.
-2*(i - 7)*(i - 4)*(i + 1)/11
Let k = 81/4159 - 35855306/29113. Let n = k - -1233. Suppose n + 22/7*z + 2*z**2 + 2/7*z**3 = 0. What is z?
-5, -1
Suppose 0 = -6*x - 218 + 224. Let n be 33/22*(11/5 - x). Suppose 3/5*w + n - 3/5*w**3 - 9/5*w**2 = 0. Calculate w.
-3, -1, 1
Suppose -368*s - 4 = -192*s - 4. Suppose s - 2/15*p**3 - 4/15*p**2 - 2/15*p = 0. Calculate p.
-1, 0
Let d(r) be the first derivative of 9/5*r**2 - 24/5*r + 63 - 9/25*r**5 - 21/20*r**4 + 1/10*r**6 + 11/5*r**3. Determine y, given that d(y) = 0.
-2, -1, 1, 4
Let x(b) = -b + 19. Let l be x(10). Factor 16*k**4 + 15*k**2 - 21*k**4 + k**3 - 20 - 20*k + l*k**3.
-5*(k - 2)**2*(k + 1)**2
Let x be (-352)/15664 + (-388)/(-1424). Determine q so that 5/2*q**2 + x*q**3 + 0 + 2*q - 1/4*q**4 = 0.
-2, -1, 0, 4
Let r(t) be the first derivative of -t**5/20 + 87*t**4/8 + 59*t**3/4 - 175*t**2/4 - 9906. Factor r(w).
-w*(w - 175)*(w - 1)*(w + 2)/4
Let k(q) be the third derivative of 0 + 78*q**2 - 5/8*q**4 + 1/12*q**5 + 0*q + 0*q**3. Solve k(h) = 0 for h.
0, 3
Let s(x) be the third derivative of -2*x**7/105 - 167*x**6/30 + x**5/5 + 503*x**4/6 + 668*x**3/3 - 8727*x**2. Determine f so that s(f) = 0.
-167, -1, 2
Suppose -c = -0 - 4. Let l(f) = 364*f + 44775. Let s be l(-123). Factor 3/5*y + y**c + 2/5 - 7/5*y**2 - 3/5*y**s.
(y - 1)**2*(y + 1)*(5*y + 2)/5
Let v(s) be the first derivative of 2*s**7/21 + 14*s**6/15 - 17*s**5/5 + 3*s**4 + 221*s - 173. Let y(n) be the first derivative of v(n). Factor y(p).
4*p**2*(p - 1)**2*(p + 9)
Suppose -107 = -41*i - 2403. Let v be (-10)/(480/i)*(-60)/(-63). Find g such that 4/3 - 10/9*g**3 + 2/9*g**4 + v*g - 14/9*g**2 = 0.
-1, 1, 6
Suppose 0 = 4*w - 12, w + 5 = v + 2*w. Suppose -4*y - v = -10. Let 27*n**y + 110*n - 344 - 261 - 32*n**2 = 0. Calculate n.
11
Solve 0 + 48/5*f - 78/5*f**3 + 36/5*f**2 - 36/5*f**4 + 6*f**5 = 0.
-1, -4/5, 0, 1, 2
Let f be (20956/(-715))/31*(-33)/6. Let -12 - 2/5*b**2 + f*b = 0. What is b?
3, 10
Let 28 - 699*d - 923*d**2 - 763*d**3 - 82 + 462*d**3 - 23*d**4 = 0. What is d?
-9, -3, -1, -2/23
Factor 5/4*q**2 + 0 - 25/2*q + 1/4*q**3.
q*(q - 5)*(q + 10)/4
Let v(h) = h**3 + 26*h**2 + 165*h - 7. Let q be v(-14). Determine z so that 5/3*z**3 + 50/3 + q*z + 20*z**2 = 0.
-10, -1
Let j(d) be the second derivative of -d**5/20 - 13*d**4/12 + 23*d**3/3 - 16*d**2 + 414*d. Factor j(l).
-(l - 2)*(l - 1)*(l + 16)
Let m(d) be the second derivative of 0*d**3 + 1/480*d**6 - 4*d**2 + 0 + 1/240*d**5 + 11*d + 0*d**4. Let c(t) be the first derivative of m(t). Factor c(n).
n**2*(n + 1)/4
Factor 32/5 + 96/5*f**2 + 24*f + 22/5*f**3.
2*(f + 2)**2*(11*f + 4)/5
Let z(t) be the first derivative of -2 + 14*t**4 - 300*t - 4/5*t**5 + 260*t**2 - 272/3*t**3. Factor z(w).
-4*(w - 5)**2*(w - 3)*(w - 1)
Let v = -338/7061 - -249163/42366. Let -v*t**3 + 5/2*t**5 + 5/3*t**2 + 0*t + 5/3*t**4 + 0 = 0. What is t?
-2, 0, 1/3, 1
Let b(y) be the third derivative of y**5/12 + 125*y**4/4 - 3875*y**3/6 + y**2 + 2*y + 9. Factor b(k).
5*(k - 5)*(k + 155)
Let w = 191 - 193. Let h(n) = 33*n**3 - 93*n**2 + 40*n + 22. Let m(l) = -395*l**3 + 1115*l**2 - 480*l - 265. Let x(q) = w*m(q) - 25*h(q). Factor x(c).
-5*(c - 2)*(c - 1)*(7*c + 2)
Let k(d) = d + 2. Let i be k(1). Let y = 6 - i. Let 104*m**2 + 76*m - 4*m**5 + 4*m**4 - 92 + 16*m**3 + 112 + 40*m**y = 0. What is m?
-1, 5
Let i(f) be the first derivative of -f**4/8 + 347*f**3/6 - 11886. Factor i(j).
-j**2*(j - 347)/2
Let y(r) = r**2 - r + 3. Let i(o) = -2 + 10 - 7. Let w(p) = 3*i(p) - y(p). Factor w(h).
-h*(h - 1)
Let z(b) = 113*b - 77. Let g be z(-4). Let t = g - -1069/2. Factor 7/2*v**2 - t*v - 1/2*v**3 + 5/2.
-(v - 5)*(v - 1)**2/2
Let u(p) be the first derivative of -5*p**4 - 1774*p**3 - 177156*p**2 - 35378*p - 14479. Factor u(h).
-2*(h + 133)**2*(10*h + 1)
Let p(b) be the first derivative of 2*b**5/15 + 353*b**4/6 + 9204*b**3 + 1601260*b**2/3 - 3286064*b/3 - 11113. Solve p(o) = 0.
-118, 1
Let f(s) be the second derivative of s**5/100 + 73*s**4/60 + 608*s**3/15 - 2166*s**2/5 + 2018*s. Factor f(a).
(a - 3)*(a + 38)**2/5
Let o = -310027 + 2480219/8. Suppose o*p**2 - 21/4*p + 9 = 0. What is p?
2