/8 + 127*t**3/3 - 7*t**2 - t. Let k(b) be the first derivative of s(b). Factor k(j).
(j - 5)*(j - 3)/5
Let c(i) be the first derivative of -i**4/4 - 1156*i**3/5 - 600657*i**2/10 + 240818*i/5 - 4098. Factor c(y).
-(y + 347)**2*(5*y - 2)/5
Let c(g) = -g**2 - 6*g + 44. Let v be c(4). Solve 2*o**3 + v*o + 6217*o**2 - 1 - 6223*o**2 + 1 = 0 for o.
0, 1, 2
Let p be -3*8/228 - (-5032)/152. Suppose -61*g - p*g = -188. Determine r so that 0 - r**g + 1/2*r**3 + 1/2*r = 0.
0, 1
Suppose -p + 2 = 26*s - 31*s, -16 = -4*s - 8*p. Factor s*m - 16/11*m**3 - 10/11*m**4 - 8/11*m**2 - 2/11*m**5 + 0.
-2*m**2*(m + 1)*(m + 2)**2/11
Let v(j) = 7*j**4 - 133*j**3 - 266*j**2 - 135*j. Let w(h) = 27*h**4 - 532*h**3 - 1068*h**2 - 542*h. Let y(i) = -22*v(i) + 6*w(i). Factor y(p).
2*p*(p + 1)**2*(4*p - 141)
Let q(b) be the third derivative of -b**6/24 + b**5/2 + 20*b**4 - 1600*b**3/3 - 2*b**2 + 308. Factor q(p).
-5*(p - 8)**2*(p + 10)
Let v(p) be the second derivative of -p**5/100 - p**4/10 + 3*p**3/10 + 7*p**2/5 - 6*p - 67. Factor v(q).
-(q - 2)*(q + 1)*(q + 7)/5
Let w be (-26288)/1860 + -14*(-7 + 6) + (-1)/(-3). Solve 1/5*n**3 + 4/5*n**2 - w*n + 0 - 4/5*n**4 = 0.
-1, 0, 1/4, 1
Let g(d) = -5*d**3 + 1566*d**2 - 272490*d + 15804070. Let t(h) = 6*h**3 - 1566*h**2 + 272493*h - 15804069. Let u(i) = -3*g(i) - 2*t(i). Factor u(z).
3*(z - 174)**3
Let -362*v**2 + 60*v**2 + 916*v**2 + 2770*v + 749*v - 87*v**3 - 9*v**4 - 1296 + 523*v**2 = 0. Calculate v.
-16, -3, 1/3, 9
Let h(t) = -66*t**2 + 1638*t - 327. Let k(a) = 33*a**2 - 822*a + 163. Let u(c) = -7*h(c) - 15*k(c). Solve u(j) = 0 for j.
2/11, 26
Let k(o) = -2*o**2 - o + 1. Let z(t) = -7*t**2 + 19*t + 50. Suppose 0 = 5*d - w - 6, -7 = -5*d + 3*d + 5*w. Let r(c) = d*z(c) - 5*k(c). Factor r(p).
3*(p + 3)*(p + 5)
Suppose -4*c = 2*y - 24, -4*c - 4*y + 0 = -40. Suppose -2/15*o**c + 16/5*o - 96/5 = 0. Calculate o.
12
Find l such that 8309*l**3 - 8174*l**3 - 468*l**2 - 112*l**2 - 5*l**4 + 660*l = 0.
0, 2, 3, 22
Let j(p) be the first derivative of -1/8*p**4 + 81 + 1/4*p**2 + 0*p + 1/30*p**5 - 1/18*p**3. Factor j(y).
y*(y - 3)*(y - 1)*(y + 1)/6
Let a(s) be the first derivative of -s**8/2100 + s**7/840 + 7*s**6/1800 - s**5/300 + 30*s**3 + 6. Let x(z) be the third derivative of a(z). Factor x(p).
-p*(p - 2)*(p + 1)*(4*p - 1)/5
Let p = -15 + 19. Suppose p*z - 69 = -5*a, 5*a = 4*z - 9 - 10. Let -21*u**2 + 27*u**2 - 30*u - z*u**2 = 0. Calculate u.
-6, 0
Let i = -67247 + 269063/4. Find c, given that -192 - i*c**2 + 120*c = 0.
16/5
Let d be -6 + 5 - (-14)/(-28)*-6. Let c(q) be the third derivative of 0*q**3 + d*q**2 + 7/240*q**5 + 5/48*q**4 + 1/480*q**6 + 0 + 20*q. Factor c(s).
s*(s + 2)*(s + 5)/4
Let x(f) be the third derivative of 3*f**6/50 - 271*f**5/25 + 1876*f**4/3 - 35912*f**3/15 - 31*f**2 + 72. Suppose x(p) = 0. Calculate p.
1, 134/3
Let 4*y**4 + 244/11*y**2 - 102/11*y - 2/11*y**5 + 0 - 184/11*y**3 = 0. Calculate y.
0, 1, 3, 17
Let l be (362/(-543))/((-4)/12). Determine u, given that -2/3*u**l - 2/9*u**3 - 2/3*u - 2/9 = 0.
-1
Let h be 2312/24 + 2/3. Suppose 93*m - h*m = -8. Let 0*w + 3/2*w**3 + 0 + 9/2*w**m = 0. What is w?
-3, 0
Let p(q) be the third derivative of -q**5/270 - 1697*q**4/54 - 2879809*q**3/27 + 81*q**2 + 19*q. Solve p(y) = 0 for y.
-1697
Let l be ((75/(-10))/(-5) + 3/2)/1. Factor 128/19 + 104/19*n**2 + 2/19*n**4 - 24/19*n**l - 192/19*n.
2*(n - 4)**2*(n - 2)**2/19
Let m(i) = 8*i**2 + 11*i - 7. Let s be m(-6). Suppose 0 = -5*p + 225 - s. Find w such that 1/6 + 5/3*w**3 + 1/6*w**5 + 5/6*w**4 + 5/3*w**p + 5/6*w = 0.
-1
Let p be ((-11)/6)/(81/(-972)) - 19. Factor 0*g**2 + 1/2*g**5 + 0 + 0*g - 8/5*g**4 + 3/10*g**p.
g**3*(g - 3)*(5*g - 1)/10
Let y(i) be the first derivative of -i**3/24 + 121*i**2/8 + 243*i/8 + 470. Factor y(u).
-(u - 243)*(u + 1)/8
Factor 2/7*n**2 + 608/7 + 92/7*n.
2*(n + 8)*(n + 38)/7
Let g(q) be the third derivative of -q**7/3780 + q**6/135 - q**5/15 + q**4/3 - 4*q**3/3 - q**2 - 21*q. Let i(r) be the second derivative of g(r). Factor i(z).
-2*(z - 6)*(z - 2)/3
Let u = -647840 - -7132055/11. Let w = u + -528. Factor 4/11*v**2 - w*v**3 + 0 + 0*v + 2/11*v**4 + 1/11*v**5.
v**2*(v - 1)**2*(v + 4)/11
Let f(a) be the second derivative of a**7/42 + 3*a**6/5 - 13*a**5/10 - 11*a**4 + 25*a**3/6 + 57*a**2 + 9*a + 4. Let f(i) = 0. What is i?
-19, -2, -1, 1, 3
Let c(z) = -z**3 + 18*z**2 + 18*z + 3. Let s be c(19). Let b be (-8)/s - (-9)/6. Solve -15*k**4 - 18*k**3 - 20*k**3 + 38*k**3 + 20*k**b - 5*k**5 = 0.
-2, 0, 1
Solve -49790 - 48678 + 100052 + 5100*s**2 + 4736*s + 372*s**4 - 4*s**5 + 2324*s**3 = 0.
-2, -1, 99
Let t(o) be the second derivative of -5*o**4/4 + 528*o**3 - 633*o**2/2 - 2039*o. Factor t(j).
-3*(j - 211)*(5*j - 1)
Suppose 80 + 889 = 19*q. Let m be (-51 + q)/(1*3). Factor -1/2 - 3/4*h + m*h**2 + 1/4*h**3.
(h - 2)*(h + 1)**2/4
Let c(i) be the first derivative of 4*i**6/27 + 10*i**5/9 - 5*i**4 + 160*i**3/27 - 10*i**2/9 - 2*i + 51. Determine s, given that c(s) = 0.
-9, -1/4, 1
Let i be 1730/2622 - 6/9. Let f = i + 443/874. Solve -1/2*k**2 - 1/4*k + f + 1/4*k**3 = 0 for k.
-1, 1, 2
Let l(p) be the third derivative of -p**5/20 + 151*p**4/8 + 153*p**3 - 329*p**2. Factor l(n).
-3*(n - 153)*(n + 2)
Let s(y) be the second derivative of y**6/80 + 9*y**5/20 + 15*y**4/4 + 14*y**3 + 27*y**2 - 3*y + 121. Solve s(m) = 0 for m.
-18, -2
Let m(v) be the first derivative of 2*v**3/45 + 398*v**2/15 + 528*v/5 + 6577. Factor m(z).
2*(z + 2)*(z + 396)/15
Let u = 7605 - 7601. Let c(o) be the first derivative of 0*o + 5/6*o**u - 4/15*o**2 - 16/75*o**5 + 16/45*o**3 - 13 - 7/15*o**6. Find d such that c(d) = 0.
-1, -2/3, 0, 2/7, 1
Let t(r) = 9*r + 13. Let u be t(2). Suppose 11 = -5*v + 26. Factor 5*j**v + 4*j**3 - 5*j**3 - u*j**2 + 35*j**2.
4*j**2*(j + 1)
Find l such that 12*l**5 + 0 + 31*l**4 + 4/3*l + 85/3*l**3 + 32/3*l**2 = 0.
-1, -2/3, -1/4, 0
Solve 20*m - 92*m**3 - 7*m - 85*m**2 - 89*m - 91*m**2 + 8 = 0 for m.
-1, 2/23
Let k be (-2 + 5)*-5*10/75. Let u be (-70)/273*k - 4/(-26). Factor -2*n**2 + u*n + 2 - 2/3*n**3.
-2*(n - 1)*(n + 1)*(n + 3)/3
Suppose 0 = -4*q - 20, a + 4*q = -7 - 8. Factor -a*n**2 - 692 - n + 607 + 91*n.
-5*(n - 17)*(n - 1)
Let a(q) = -q. Let o(n) = -n**2 + 5*n + 6. Let x(i) = i**2 - 6*i - 4. Let l(c) = -4*o(c) - 5*x(c). Let m be (-1)/(3/6)*3. Let w(b) = m*a(b) - l(b). Factor w(d).
(d - 2)**2
Factor -1/6*f**2 + 107/6 + 53/3*f.
-(f - 107)*(f + 1)/6
Let l be (33/(-6))/(-11)*8. Factor 112 - 112 - 10*u**3 + 10*u**2 - 24*u + u**l + 18*u**2.
u*(u - 6)*(u - 2)**2
Let b be (-6)/(9*3/(-576)). Determine h so that -55*h - 5*h**2 - 20 - b + 39 - 31 = 0.
-7, -4
Let j(c) = c + 17. Let k be j(0). Factor -4*i**2 + 29*i**4 + k*i**4 - 42*i**4.
4*i**2*(i - 1)*(i + 1)
Let u be 3 - (2 - (-6 - -8)). Let t(g) = g**3 + 2*g**2 + 1 - 2*g + 3*g - g**2. Let y(h) = -5*h**2 - 11*h - 7. Let a(o) = u*y(o) - 3*t(o). Factor a(d).
-3*(d + 2)**3
Let j = -7265/9 + 17677/45. Let u = j + 418. Suppose -32/5*r - 8/5 + u*r**3 + 22/5*r**2 = 0. What is r?
-2, -2/9, 1
What is i in 30*i - 240*i**3 + 3 - 46*i + 165*i**3 - 60*i**2 - 65*i + 213*i**2 = 0?
1/25, 1
Let p(r) be the first derivative of -5/4*r**4 - 2*r**5 - 40 + 0*r**2 + 5/6*r**6 + 10/3*r**3 + 0*r. Factor p(m).
5*m**2*(m - 2)*(m - 1)*(m + 1)
Let z = -10835 + 10860. Let q(d) be the first derivative of 20*d**3 + 0*d + 24*d**4 + 4*d**2 + 44/5*d**5 - z. Solve q(t) = 0.
-1, -2/11, 0
Let 236195/2*r + 971/2*r**2 + 1/2*r**3 + 235225/2 = 0. What is r?
-485, -1
Let b = 238 + -247. Let u be (b/15)/(72/(-240)). Suppose -5/3*c**4 + 0*c**u + 10/3*c**3 + 0*c + 0 = 0. What is c?
0, 2
Let w(r) be the first derivative of -r**6/1080 - r**5/36 + 65*r**3/3 + 2*r - 219. Let y(t) be the third derivative of w(t). Suppose y(c) = 0. What is c?
-10, 0
Let j be ((-15)/(-25))/(6/8)*(-525)/(-70) - 3. What is y in -33/4*y**4 + 57/4*y**j + 0 + 3/2*y**5 - 39/4*y**2 + 9/4*y = 0?
0, 1/2, 1, 3
Let j(m) be the third derivative of 0*m**3 + 1/2*m**4 + 228*m**2 + 1/3*m**5 + 1/30*m**6 + 0 - 2/105*m**7 + 0*m. Suppose j(i) = 0. What is i?
-1, 0, 3
Let g be 8/(-4)*(-26)/4 - -2. Let d be 5/g - (-1)/(-30)*-2. Determine x so that -2/5 + 4/5*x - d*x**2 = 0.
1
Suppose 967*s = 76*s + 4307 - 1634. Find z such that 0 + 0*z - 7/10*z**4 - 1/5*z**2 - 9/10*z**s = 0.
-1, -2/7, 0
Let q(n) be the first derivative of 2*n**6/3 - 372*n**5/5 + 1808*n**4 + 66736*n**3/3 