 d be f(26). Let r be 5 + -13 + d/6. Determine n, given that r - 3*n + 0*n**2 + 3*n**3 - 3/2*n**4 = 0.
-1, 1
Let k(j) = 2*j**4 + 1130*j**3 - 311358*j**2 - 626074*j - 313603. Let a(b) = b**4 + 4*b**3 + b**2 + 2*b - 1. Let d(u) = 3*a(u) - k(u). Factor d(n).
(n - 560)**2*(n + 1)**2
Let l(r) be the first derivative of 206 - 68/5*r - 2/15*r**3 + 19/5*r**2. Factor l(q).
-2*(q - 17)*(q - 2)/5
Let q(k) be the second derivative of k**6/15 - 83*k**5/10 + 163*k**4/6 - 27*k**3 - 53*k + 2. Determine i, given that q(i) = 0.
0, 1, 81
Let f(j) = -j**3 + 9*j**2 - 15*j + 11. Let v be f(7). Let h(a) = a**3 + 4*a**2 - 5*a + 2. Let u be h(-5). Factor -v + u + x**2 - 6*x + 7 + 4.
(x - 3)**2
Suppose 0 = -7*q - 19*q + 104. Factor 5*t**q + 18*t**2 - 160*t**3 + 68*t**3 + 2*t**2 + 72*t**3.
5*t**2*(t - 2)**2
Factor -1/5*j**4 + 48/5*j**2 + 384/5 + 272/5*j - 3/5*j**3.
-(j - 8)*(j + 3)*(j + 4)**2/5
Let w(m) be the second derivative of -2 - 5/12*m**4 + 0*m**2 + 10/3*m**3 - 18*m. Factor w(z).
-5*z*(z - 4)
Let c(d) = -63*d**3 + 1740*d**2 - 1738*d - 3473. Let u(s) = 15*s**3 - 435*s**2 + 434*s + 868. Let w(m) = 4*c(m) + 17*u(m). Factor w(l).
3*(l - 144)*(l - 2)*(l + 1)
Let u(l) be the second derivative of 2*l + 0*l**2 + 6 + 1/70*l**5 + 0*l**6 - 1/147*l**7 + 0*l**4 + 0*l**3. Suppose u(x) = 0. Calculate x.
-1, 0, 1
Suppose 0 = -67*h + 65*h, x + 2*h - 2 = 0. Let -58*n + 6*n**x - 26*n + n**2 + 0*n**2 - 3*n**2 = 0. What is n?
0, 21
Suppose 1/11*k**4 - 101/11*k**3 + 315*k**2 + 6534 - 3861*k = 0. What is k?
2, 33
Solve 6828 - 360*b**3 + 373*b**2 + 44*b**4 - 368*b - 6780 + 263*b**2 = 0.
2/11, 1, 6
Let h be (7 - (-32155)/(-4595))*1. Let q = 7338/6433 + h. Suppose 8/21*r**5 - 20/21*r**3 + 8/21 + 6/7*r**4 + q*r - 38/21*r**2 = 0. What is r?
-2, -1/4, 1
Let z be 16/6 - (-72)/(-108). Let j(s) be the third derivative of 0 - 2/21*s**7 - 1/6*s**6 + 3*s**5 - 27*s**z + 0*s**4 + 1/84*s**8 - 72*s**3 + 0*s. Factor j(y).
4*(y - 3)**3*(y + 2)**2
Let w(f) be the third derivative of f**6/60 - f**5/15 - 5*f**4/12 + 2*f**3 - 2*f**2 - 178. Determine a so that w(a) = 0.
-2, 1, 3
Let z = 19211 - 19211. Let y(h) be the third derivative of -1/660*h**6 + 1/1848*h**8 + 0*h**3 + 0*h**5 + z*h**4 + 0*h**7 + 0*h + 0 - h**2. Factor y(u).
2*u**3*(u - 1)*(u + 1)/11
Factor -535 - 728*u**2 + 805437*u - 73 - 804237*u - 17*u**3 + 95*u**3 + 54*u**3 + 4*u**4.
4*(u - 2)**2*(u - 1)*(u + 38)
Factor -113 - 1/2*m**3 - 111/2*m + 57*m**2.
-(m - 113)*(m - 2)*(m + 1)/2
Suppose 5*b = w + 75, -3*b = w - 19 - 26. Solve w - 1/3*o**2 + 7/3*o = 0.
0, 7
Let d(c) be the second derivative of 1/80*c**5 + 0*c**3 - 1/48*c**4 + 1/120*c**6 - 4 - 1/168*c**7 + 18*c + 0*c**2. Factor d(g).
-g**2*(g - 1)**2*(g + 1)/4
Let l(o) be the third derivative of 4/21*o**8 - 6*o**2 + 0 + 0*o**4 + 0*o**5 + 16/35*o**7 + 0*o**3 + 3/10*o**6 + o. Factor l(m).
4*m**3*(4*m + 3)**2
Let l be 0 - -3*(-6)/27 - 2002/(-2730). Let c(d) be the second derivative of 0 + l*d**3 - 1/90*d**4 - 2/15*d**2 + 45*d. Factor c(r).
-2*(r - 2)*(r - 1)/15
Let z = -321359/120 + 2678. Let l(k) be the second derivative of 0 - z*k**6 - 17*k + 0*k**2 + 1/20*k**5 - 1/16*k**4 + 0*k**3. Factor l(v).
-v**2*(v - 3)*(v - 1)/4
Let a(k) be the third derivative of -k**5/30 + 25*k**4/12 - 42*k**3 - 353*k**2 + k. Factor a(h).
-2*(h - 18)*(h - 7)
Let c(s) be the second derivative of 0*s**4 + 21*s + 3/160*s**5 - 2 - 1/16*s**3 + 0*s**2. Factor c(n).
3*n*(n - 1)*(n + 1)/8
Let v be (-1)/5 + (1 - (-655)/25). Let i be (v/6 + -1)*(-48)/(-420). Let 1/5*s**4 + i*s**2 - 4/5*s - 3/5 + 4/5*s**3 = 0. Calculate s.
-3, -1, 1
Suppose 65/4*b + 75/2 - 5/4*b**2 = 0. What is b?
-2, 15
Let t(m) be the first derivative of -m**3/12 - 2515*m**2/4 - 6325225*m/4 - 7623. Factor t(z).
-(z + 2515)**2/4
Let h(z) = 7*z**2 - 6*z - 261. Let w(o) = 5*o**2 + 4*o - 259. Let j(y) = 3*h(y) - 4*w(y). What is t in j(t) = 0?
11, 23
Let r(a) = 5*a**2 - 19*a + 57. Let x be (-5)/(-90)*-1220 + (-2)/9. Let m(j) = -56*j**2 + 204*j - 626. Let g(i) = x*r(i) - 6*m(i). What is v in g(v) = 0?
2, 15
Factor -11*i**2 + 88*i - 11*i**2 - 78 + 9*i**2 + 9*i**2 + 270.
-4*(i - 24)*(i + 2)
Let c(i) be the second derivative of 25/14*i**7 + 10/3*i**3 + 10*i**2 - 19/4*i**5 + 29/6*i**6 + 0 - 55/4*i**4 + 18*i. Find x, given that c(x) = 0.
-2, -1, -1/3, 2/5, 1
Let c(q) be the first derivative of q**4/6 - 20*q**3/3 + 112*q + 138. Let u(o) be the first derivative of c(o). Determine w, given that u(w) = 0.
0, 20
Let t(w) = w**2 + 2*w - 10. Let o = -342 - -291. Let x(m) = 8*m**2 + 18*m - 81. Let k(c) = o*t(c) + 6*x(c). Find r such that k(r) = 0.
-2, 4
Let w(q) be the second derivative of 1/480*q**6 + 19*q + 0 + 1/48*q**4 + 0*q**2 + 13/6*q**3 - 1/96*q**5. Let z(s) be the second derivative of w(s). Factor z(r).
(r - 1)*(3*r - 2)/4
Let p(g) = -g**2 - 33*g - 162. Let x be p(-27). Suppose x = -5*s - 4*k - 8, 0 = -4*s - 5*k - 10. Factor s*z + 0 - 5/8*z**4 + 3/8*z**3 + 1/4*z**2.
-z**2*(z - 1)*(5*z + 2)/8
Let k(c) = 2 - 42*c + 33*c + c**2 + 13*c. Let v be k(0). Solve -1/3*q**3 + 4/3*q**v + 0 + 0*q = 0 for q.
0, 4
Let o(a) = -25*a**3 + 510*a**2 + 580*a - 825. Let c(d) = 7*d**3 - 132*d**2 - 145*d + 206. Let y(r) = 15*c(r) + 4*o(r). What is h in y(h) = 0?
-7, -6, 1
Let x(w) be the first derivative of 6/5*w**5 + 121 + 0*w**2 + 0*w + 4/3*w**3 - 7/2*w**4. Let x(h) = 0. Calculate h.
0, 1/3, 2
Suppose -577*n + 6 - 21 = -15. Solve 0 + 0*d**3 - 10*d**2 + n*d + 5/2*d**4 = 0.
-2, 0, 2
Factor -4517*k**3 - 98 - 2*k**2 + 168*k + 4493*k**3 - 40*k**2 - 2*k**4 - 2*k**2.
-2*(k - 1)**2*(k + 7)**2
Let o(a) = 483*a**2 - 7*a - 2. Let h be o(-1). Let w = h + -484. Factor -x**3 - 1/3*x**w + 0*x**2 + 0*x + 0.
-x**3*(x + 3)/3
Suppose 8820 = 49*r - 28*r. Let q = r + -417. Determine x, given that 54/11*x**q - 6*x**4 + 12/11*x**2 + 0 + 0*x = 0.
-2/11, 0, 1
Let a = -947943 - -947948. Determine l so that -12*l**2 + 32*l - 29*l**3 - 41/4*l**4 - 3/4*l**a + 20 = 0.
-10, -2, -2/3, 1
Let p(h) = 15*h**3 + 1740*h**2 - 15*h - 1932. Let v(r) = -10*r**3 - 1160*r**2 + 10*r + 1280. Let i(f) = 5*p(f) + 8*v(f). Factor i(q).
-5*(q - 1)*(q + 1)*(q + 116)
Let n(s) = -9*s**3 + 17*s**2 + 26*s - 28. Let a(f) = -4*f**3 + 9*f**2 + 13*f - 12. Let l(o) = 14*a(o) - 6*n(o). Solve l(b) = 0.
-1, 0, 13
Let b be (-8)/10*(229/14 - 21). Find o, given that 0 - 2/7*o**2 + b*o = 0.
0, 13
Factor 0*c + 0 + 2/7*c**5 - 8*c**4 - 544/7*c**3 - 1152/7*c**2.
2*c**2*(c - 36)*(c + 4)**2/7
Let x be (-1120)/(-98) + (47/(-5) - (-280)/200). Let -2/7*p**3 - 20/7*p**2 + x*p + 0 + 5/7*p**4 - 1/7*p**5 = 0. What is p?
-2, 0, 2, 3
Let s(v) be the third derivative of -1/112*v**8 + 0*v - 1/40*v**6 - 5*v**2 + 0 - 3/70*v**7 + 0*v**3 + 3/20*v**5 + 1/4*v**4. Determine u, given that s(u) = 0.
-2, -1, 0, 1
Let x(n) be the third derivative of -15*n**8/56 - 139*n**7/210 - n**6/20 + 3*n**5/4 + n**4/12 - 7076*n**2. Solve x(g) = 0.
-1, -2/45, 0, 1/2
Let w = -877/30 + 461/15. Let t(u) = 3*u - 17. Let c be t(7). Factor -1/2*v**c + 0 + w*v**2 + 0*v**3 - v.
-v*(v - 1)**2*(v + 2)/2
Let a be ((-3)/7)/(3/(-4)). Let p = -21832 + 21834. Factor -2/7 - a*x**p + 9/7*x.
-(x - 2)*(4*x - 1)/7
Let y be (20/(-14))/5 + 132/21. Suppose -2*f = -3*w + y, f = 5*f - 3*w. Factor -9*n + 26*n - 3*n**f - n**5 - 17*n + 3*n**4 + n**2.
-n**2*(n - 1)**3
Suppose -44*w**2 - 1/3*w**4 + 0*w - 47/3*w**3 + 0 = 0. What is w?
-44, -3, 0
Let n(b) be the second derivative of 5*b**3 + 45/2*b**2 + 41 + 5/12*b**4 + 2*b. Factor n(w).
5*(w + 3)**2
Let t(b) = -2*b**2 - 33*b + 53. Let u be t(-18). Let v(g) = -5*g**2 - 2*g + 3. Let i be v(u). Factor 0*z**2 + i*z - 5/4*z**4 + 0 + 5/2*z**3.
-5*z**3*(z - 2)/4
Suppose 3*l + 5*p - 11 = 4*l, 47 = -l - 4*p. Let u = -19 - l. Factor -u*c**3 + 4 + 17*c - 2*c**2 - 2*c**2 - 5*c.
-4*(c - 1)*(c + 1)*(3*c + 1)
Let v = 23543 + -23537. Let j(l) be the second derivative of -2/135*l**v + 0*l**2 + 0 + 39*l - 8/27*l**3 + 1/45*l**5 + 4/27*l**4. What is r in j(r) = 0?
-2, 0, 1, 2
Let i(s) be the second derivative of -s**4/15 + 32*s**3/15 + 168*s**2 + 5240*s + 1. Suppose i(x) = 0. Calculate x.
-14, 30
Suppose -61*c - 30 + 39 = -174. Let j(z) be the third derivative of 0 - 36*z**2 + 1/160*z**6 + 0*z**c - 1/80*z**5 + 1/280*z**7 - 1/32*z**4 + 0*z. Factor j(l).
3*l*(l - 1)*(l + 1)**2/4
Suppose -3*z = 3*d - 15, 2*z - 3614 = 2*d - 3624. Let -8/5 - 46*c**2 - 39*c**d + 84/5*c + 238/5*c**4 + 111/5*c**3 = 0. What 