e the third derivative of x**5/360 - 113*x**4/72 - 38*x**3/3 + x**2 + 40*x - 5. Factor o(t).
(t - 228)*(t + 2)/6
Let i(o) be the third derivative of 8/13*o**4 - 75 + 1/1365*o**7 + 0*o - 16/195*o**5 - 2*o**2 + 0*o**3 - 1/390*o**6. Factor i(z).
2*z*(z - 4)**2*(z + 6)/13
Determine q so that 363*q**2 - 4*q**4 + 88*q**3 - 2*q**4 - 8*q**3 + q**4 - 278*q**2 = 0.
-1, 0, 17
Factor -23289*l**3 + 764*l**2 + 217800 - 111540*l + 564*l**2 + 23285*l**3.
-4*(l - 165)**2*(l - 2)
Let q = -2463 - -2463. Let m(o) be the second derivative of -13*o + o**2 - 1/6*o**4 + 1/10*o**5 + q - 1/3*o**3. Factor m(k).
2*(k - 1)**2*(k + 1)
Find v, given that 5*v**3 + 18532*v**2 + 16686942*v - 6788697*v - 4462*v**2 = 0.
-1407, 0
Let k(c) be the third derivative of -54*c**7/35 + 309*c**6/40 - 961*c**5/60 + 158*c**4/9 - 32*c**3/3 - 1773*c**2. Find y, given that k(y) = 0.
1/3, 3/4, 8/9
Let l(w) be the second derivative of -w**5/10 - 185*w**4/9 + 209*w**3/3 + 250*w**2/3 - 930*w. Let l(b) = 0. Calculate b.
-125, -1/3, 2
Find w such that -18012*w + 4813*w**2 - 183*w**2 - 15*w**4 - 1960*w**3 + 665 + 14692*w = 0.
-133, 1/3, 1
Let t = 938122/390905 + 10/78181. Solve 0*r**2 + 0*r - t*r**3 + 2*r**5 + 0 + 14/5*r**4 = 0 for r.
-2, 0, 3/5
Let u(m) be the first derivative of m**3/9 + 43*m**2/6 - 44*m/3 + 226. Factor u(p).
(p - 1)*(p + 44)/3
Suppose -265*z - 245 + 775 = 0. Factor 5/2*f + 5/6*f**z - 25/3.
5*(f - 2)*(f + 5)/6
Suppose 2*r - 5 - 1 = l, -2*r + 10 = -2*l. Let f(h) = -1203 - 1201 + 18*h + 2420. Let c(z) = -z**2 + 35*z + 31. Let o(w) = l*c(w) + 10*f(w). Factor o(n).
4*(n + 1)*(n + 9)
Let j = 9580 + -9563. Let c(a) be the first derivative of 80/3*a - 25/3*a**4 - 5/36*a**6 + 200/9*a**3 + 5/3*a**5 - 100/3*a**2 - j. Factor c(x).
-5*(x - 2)**5/6
Let c(a) = a**3 + 13*a**2 + 2*a + 45. Let x be c(-13). Let s be (-6)/20*(7 - x). Determine i so that 2/5*i**3 + 32/5 + s*i**2 + 48/5*i = 0.
-4, -1
Let c be ((399/14)/(-19))/((-60)/32). Let n(z) be the first derivative of 1/5*z**2 + c*z + 3 - 2/15*z**3. Solve n(w) = 0.
-1, 2
Let l(b) be the first derivative of b**4/4 + 26. Let d(o) = 30*o**3 + 115*o**2 + 110*o. Let u(x) = d(x) - 25*l(x). Factor u(t).
5*t*(t + 1)*(t + 22)
Let m(a) = 9*a**5 + 15*a**4 + 30*a**3 - 12*a**2. Let h(d) = -11*d**5 - 16*d**4 - 30*d**3 + 15*d**2. Let l(j) = 12*h(j) + 15*m(j). Let l(c) = 0. What is c?
-6, -5, 0
Suppose 2*t + 2*t = 12, -3*t + 21 = 3*m. Let b = -97 + 99. Find q, given that q + 163*q**b - m*q**3 - 5*q - 171*q**2 = 0.
-1, 0
Let a(d) = -d**2 - 31*d + 107. Let r be a(-34). Let -c**2 + c - 29*c - 28 + 4*c + r*c**2 = 0. What is c?
-1, 7
Suppose 55*c + 143 + 123 = 74*c. Let b(r) be the first derivative of 25/2*r**2 - c + 5/3*r**3 + 20*r. Factor b(t).
5*(t + 1)*(t + 4)
Let d(z) be the first derivative of -z**5/100 - 23*z**4/20 - 9*z**3/2 - 20*z**2 - z - 151. Let a(b) be the second derivative of d(b). Factor a(v).
-3*(v + 1)*(v + 45)/5
Let f(z) be the first derivative of -10*z**6/7 - 2916*z**5/35 - 9819*z**4/28 - 1474*z**3/7 + 1503*z**2/14 + 810*z/7 - 9399. Determine p, given that f(p) = 0.
-45, -3, -1/2, 2/5
Let s be (-3)/(-5)*14/(-63)*-15. Let -31*j**s + 12*j**2 - 42*j + 39 + 6*j + 16*j**2 = 0. What is j?
-13, 1
Let u = 1986 + -1979. Let a(d) be the third derivative of 0*d**3 - 3/16*d**5 + 0*d + 0 + 1/8*d**6 + 5/48*d**4 - 5/168*d**u + 9*d**2. Find x such that a(x) = 0.
0, 2/5, 1
Let n = -1781 + 1784. Suppose -4*a - n*h + 18 = 0, -2*h + h + 5 = a. Factor 12/7*t - 12/7*t**a + 2/7*t**4 - 16/7*t**2 + 2.
2*(t - 7)*(t - 1)*(t + 1)**2/7
Let d(i) be the second derivative of 0*i**2 + 54*i + 1/9*i**4 - 1 + 2/9*i**3. Factor d(y).
4*y*(y + 1)/3
Let r(j) = j**2 - 26*j + 15*j + 26*j - 21 + 3*j. Let d(n) = -3*n**2 - 35*n + 43. Let i(x) = -6*d(x) - 15*r(x). Factor i(f).
3*(f - 19)*(f - 1)
Let a = -931 - -934. Let d be (4/a)/(544/48). Factor -6/17*j**2 + 4/17*j + 0 + d*j**3.
2*j*(j - 2)*(j - 1)/17
Let f be (-19 - -11 - -12) + 1 + 0. Let j(r) = 15*r**2 - 45*r + 40. Let d(l) = -8*l**2 + 22*l - 20. Let p(z) = f*d(z) + 3*j(z). What is h in p(h) = 0?
1, 4
Factor -16*f - 5*f**2 + 3*f - 8*f + 9*f**2 + 24 - 7*f.
4*(f - 6)*(f - 1)
Let -2/5*b**2 - 4474/5 + 4476/5*b = 0. What is b?
1, 2237
Let n = 48 + -22. Suppose 2*j = -5*w + n, -13 = -3*j - 0*j - w. Find k, given that -95*k**3 - 2 + 96*k**j - 3*k + 0 = 0.
-1, 2
Let r(f) = 641*f + 25643. Let d be r(-40). Suppose 4/3*h**4 + 0*h**2 + 0 - 1/3*h**5 + 0*h - 4/3*h**d = 0. What is h?
0, 2
Suppose 3*f - f - 4 = 0. Solve 6*t - 16*t - 27 + 5 - 47*t - 3*t**f + 148 = 0.
-21, 2
Determine f, given that 0*f - 648/5*f**2 + 72/5*f**3 - 2/5*f**4 + 0 = 0.
0, 18
Determine u, given that 768/7 - 1030/7*u + 8/7*u**2 = 0.
3/4, 128
Let o = -465 - -539. Factor -31*p**2 + 45 + 31 - 39*p**2 - o*p - 38*p**2 + 106*p**2.
-2*(p - 1)*(p + 38)
Suppose 4*r + 59 = 67. Suppose -162*m - 46*m**3 - 21 - 5*m**4 - 82*m**r - 6 - 59*m**2 - 3*m**2 = 0. What is m?
-3, -1/5
Let l(m) be the first derivative of -m**6/24 + 3*m**5/20 - m**4/16 - m**3/4 + m**2/4 - 2050. What is s in l(s) = 0?
-1, 0, 1, 2
Find l such that 396*l + 192 + 312*l**2 + 747*l**2 - 48*l**3 + 385*l - 351*l**2 - 45*l**4 - 13*l = 0.
-4, -2/3, -2/5, 4
Let u = 326 + 3396. Suppose -9*s - 3695 = -u. Factor 0 - 16/5*w - 1/5*w**s + 8/5*w**2.
-w*(w - 4)**2/5
Let z(y) be the second derivative of y**4/4 - 106*y**3 + y - 400. Factor z(d).
3*d*(d - 212)
Suppose 0 = -3*o + 3*z + 93, -o - z + 74 = 47. Let t = -27 + o. Solve 0*c + 0 + 6/5*c**t - 3*c**3 + 12/5*c**4 - 3/5*c**5 = 0.
0, 1, 2
Let m = 455 - 446. Let f be 60/m*2/20*2. Factor f*l - 2/9*l**2 - 10/9.
-2*(l - 5)*(l - 1)/9
Let a(h) be the third derivative of h**4/24 + 27*h**2. Suppose 0 = -2*r + 7*r - 25. Let m(y) = -y**2 - 7*y - 1. Let p(o) = r*a(o) + m(o). Factor p(x).
-(x + 1)**2
What is j in 1/4*j**2 + 305/4 + 33/2*j = 0?
-61, -5
Factor -51/7*z**4 + 0*z + 120/7*z**3 + 900/7*z**2 + 3/7*z**5 + 0.
3*z**2*(z - 10)**2*(z + 3)/7
Let q(s) be the third derivative of s**5/60 + 11*s**4/24 + 3*s**3 - 1277*s**2. Solve q(u) = 0 for u.
-9, -2
Let k(d) be the first derivative of -3*d**4/16 + 117*d**3/4 - 10089*d**2/8 - 10443*d/4 + 218. Determine i so that k(i) = 0.
-1, 59
Let j(w) = -751*w - 20274. Let x be j(-27). Factor 18/5*g**x + 0 + 3/5*g**2 - 3/5*g**4 - 18/5*g.
-3*g*(g - 6)*(g - 1)*(g + 1)/5
Let d(c) = -126*c**2 + 247*c - 1. Let m(z) = 271*z**2 - 493*z + 2. Let i(b) = 11*d(b) + 6*m(b). Factor i(y).
(y - 1)*(240*y - 1)
Let s(o) = -109*o - 63 - 48*o + 94*o. Let z be s(-1). Determine q so that -2/3 + z*q + 2/3*q**2 = 0.
-1, 1
Let k = 110 - 103. Let p be -2 + k - (3 + -1). Solve 0*n**4 - 8*n**p + 30*n**3 + 6*n**2 - 8*n**4 = 0.
-1/4, 0, 3
Let h(w) be the first derivative of 3/25*w**5 + 1/30*w**3 - 44 + 0*w**2 + 0*w + 1/8*w**4. Factor h(n).
n**2*(2*n + 1)*(3*n + 1)/10
Suppose -6*d = -19 - 17. Suppose 42 + 138 = d*z. Factor -5*i + 5*i**2 - 4 - 25*i**3 - 1 + z*i**3.
5*(i - 1)*(i + 1)**2
Let x(k) = -k**4 + 11*k**3 - 46*k**2 + 42*k - 2. Let g(q) = -q**4 + 10*q**3 - 46*q**2 + 39*q - 3. Let j(s) = 4*g(s) - 6*x(s). What is w in j(w) = 0?
0, 2, 3, 8
Let f(l) = 1028*l**2 - 32292*l + 257094. Let y(j) = 342*j**2 - 10764*j + 85698. Let w(d) = -4*f(d) + 14*y(d). Factor w(b).
4*(13*b - 207)**2
Suppose 44 = d - 5*f, -d = 3*d - 3*f - 91. Let 27 + 22 - 40*h**2 + 65*h - d = 0. Calculate h.
-3/8, 2
Let o(i) be the third derivative of 23*i**5/480 + i**4/4 + i**3/12 + 4*i**2 - 30*i. Find y, given that o(y) = 0.
-2, -2/23
Suppose 4*u - 24 + 8 = 4*x, 2*u = 4*x + 12. Suppose -u*j + 85*v = 90*v + 21, 3*j - 11 = v. Solve 3 - 2*a + 1/3*a**j = 0.
3
Find y, given that -741/4*y + 194*y**3 - 36*y**4 + 99 - 217/4*y**2 = 0.
-1, 3/4, 44/9
Let o(y) be the third derivative of -22/15*y**5 + 47*y**2 + 0 + 22/3*y**3 + 22/105*y**7 + 0*y + 1/168*y**8 - 1/30*y**6 + 1/12*y**4. Find t such that o(t) = 0.
-22, -1, 1
Let y(a) be the second derivative of 14*a - 5/6*a**4 + 3 + 23/6*a**3 - 6*a**2 - 1/20*a**5. Factor y(f).
-(f - 1)**2*(f + 12)
Let r(x) = -75*x**4 - 1536*x**3 + 21*x**2 + 1500*x. Let t(j) = 21*j**4 + 439*j**3 - 6*j**2 - 429*j. Let c(h) = 5*r(h) + 18*t(h). Suppose c(u) = 0. What is u?
-74, -1, 0, 1
Let r be 2/((-6)/(-285)) + 0. Factor -r*x**2 + 2*x + 45*x**2 - 4 + 52*x**2.
2*(x - 1)*(x + 2)
Let n(v) be the first derivative of -578*v**6/5 - 3264*v**5/25 + 7137*v**4/20 - 137*v**3/5 + 3*v**2/5 - 7587. Solve n(i) = 0 for i.
-2, 0