of 1/84*u**4 + 1/420*u**5 + 0*u + 12 - 13/2*u**2 - 1/14*u**3. Let z(y) be the second derivative of l(y). Factor z(b).
(b - 1)*(b + 3)/7
Suppose 9 = -r + 3*m, -16*r + 52 + 4 = 2*m. Factor 0*l**2 + 0*l + 2/5*l**5 + 0 + 2/5*l**r + 4/5*l**4.
2*l**3*(l + 1)**2/5
Suppose 24*l + 4371 = -1485. Let y be 11/1012*-8 - l/690. Solve y*h**4 - 4/15*h**2 - 2/15*h**5 + 8/15*h**3 + 0 - 2/5*h = 0 for h.
-1, 0, 1, 3
Let j = 392936 + -392931. Factor 8/9*h**4 + 2/9*h**j + 8/9*h**3 - 4/9 - 10/9*h - 4/9*h**2.
2*(h - 1)*(h + 1)**3*(h + 2)/9
Let k = -1379973/4 + 345000. Factor 0 + k*b - 3/2*b**2 - 1/4*b**3.
-b*(b - 3)*(b + 9)/4
Suppose -51*f - 2*v + 30 = -47*f, 5*v = -f + 39. Let y(q) be the third derivative of 1/15*q**5 + 0*q**f + 1/60*q**6 + 0 + 0*q**3 + 0*q - 41*q**2. Factor y(p).
2*p**2*(p + 2)
Let c(r) be the second derivative of -r**4/6 - 56*r**3/3 - 208*r**2 - 2*r - 1136. Factor c(s).
-2*(s + 4)*(s + 52)
Let z = -1/1826 - -458341/27390. Let r = -49/3 + z. Determine v so that 2/5*v**3 + r*v + 4/5*v**2 + 0 = 0.
-1, 0
Let c(o) = -8*o**3 + 12*o - 12. Let n = 43 + -47. Let g(l) = l**3 + l**2 + l - 1. Let r(q) = n*g(q) - c(q). Factor r(s).
4*(s - 2)*(s - 1)*(s + 2)
Let j(h) = -107*h**3 - 461*h**2 + 700*h - 116. Let n(q) = 36*q**3 + 153*q**2 - 234*q + 39. Let t(s) = -3*j(s) - 8*n(s). Factor t(r).
3*(r - 1)*(r + 6)*(11*r - 2)
Let i(f) be the third derivative of -f**7/735 - f**6/42 - 11*f**5/70 - 11*f**4/21 - 20*f**3/21 + 4*f**2 + 62. Suppose i(l) = 0. Calculate l.
-5, -2, -1
Let j(u) be the second derivative of -u**6/480 + u**5/240 - 7*u**2 - u - 30. Let c(o) be the first derivative of j(o). Factor c(t).
-t**2*(t - 1)/4
Let d(y) = -15*y**3 - 449*y**2 + 51075*y + 51537. Let g(f) = -4*f**3 + f**2 + 2. Let q(b) = -3*d(b) + 12*g(b). Factor q(h).
-3*(h - 227)**2*(h + 1)
Let m = 2 + 4. Let h be 140/21*1*m. Factor -42*f**2 + h*f + 15 - 46*f**2 + 118*f**2 - 5*f**4.
-5*(f - 3)*(f + 1)**3
Let k(p) = 84*p**2 - 9*p - 10. Let v be k(-2). Let b be v/180 - (-2)/(-15). Determine z so that b*z - 4/9*z**2 + 20/9 = 0.
-1, 5
Let h(n) = 15*n**4 + 516*n**3 + 21172*n**2 + 8*n - 4. Let v(x) = -102*x**4 - 3609*x**3 - 148203*x**2 - 54*x + 27. Let w(b) = 27*h(b) + 4*v(b). Factor w(c).
-3*c**2*(c + 84)**2
Let n be 2/3 - ((-6355)/246 + 26). Let -1/6*o + n*o**2 - 1/6*o**4 + 1/6*o**3 - 1/3 = 0. What is o?
-1, 1, 2
Suppose -2*g + 2*q = -18, g - 5*q = -3*q + 10. Let w be (g/2 + 234/(-65))*5. Find s, given that 2/3*s**w - 2/3 + 0*s = 0.
-1, 1
Let l be (-8)/(-12) - 155/(-15). Let p(q) = -17*q**2 - 13*q + 52. Let c(f) = 6*f**2 + 4*f - 18. Let n(m) = l*c(m) + 4*p(m). Determine w, given that n(w) = 0.
-5, 1
Let h be ((-1350)/210)/(-9)*(19 - -2). Let s(m) be the first derivative of 2/5*m**2 - 1/15*m**3 + h + 0*m. Factor s(g).
-g*(g - 4)/5
Factor 152*p**3 - 4*p**4 - 576 + 26292*p - 260*p**2 - 13951*p - 13333*p.
-4*(p - 36)*(p - 4)*(p + 1)**2
Factor 0 - 140*b**2 - 3700/3*b - 5/3*b**3.
-5*b*(b + 10)*(b + 74)/3
Factor -1/4*j**2 - 85/2 - 27/4*j.
-(j + 10)*(j + 17)/4
Factor -59*l + 699/4 + 1/4*l**2.
(l - 233)*(l - 3)/4
Let n(p) be the third derivative of -1/210*p**7 + 7/120*p**6 - 3*p**2 - 7/24*p**4 - 4*p - 4/3*p**3 + 0 + 3/20*p**5. Factor n(u).
-(u - 8)*(u - 1)*(u + 1)**2
Let j(h) = 11*h**3 + 1379*h**2 - 2761*h + 1376. Let l(a) = 7*a**3 + 689*a**2 - 1381*a + 688. Let g(x) = -3*j(x) + 5*l(x). Factor g(y).
2*(y - 344)*(y - 1)**2
Let n(a) be the first derivative of 2*a**3/3 + a**2/2 - 2940. Let k = 4 - 6. Let b(q) = q**2 + q. Let u(m) = k*n(m) + 2*b(m). Factor u(i).
-2*i**2
Let d = -88512 - -88656. Factor d + 4/3*h**3 + 108*h + 24*h**2.
4*(h + 3)**2*(h + 12)/3
Let t(l) be the second derivative of -57*l + 7/6*l**3 + 1/12*l**4 + 3*l**2 + 0. Determine h, given that t(h) = 0.
-6, -1
Let a = -21447 - -21462. Let s(x) be the third derivative of 1/4*x**3 + 0 + 1/80*x**5 + 0*x - 3/32*x**4 - a*x**2. Let s(n) = 0. What is n?
1, 2
Let w be (-897)/(-207) + (-8)/6. Suppose 3*r - 17 = -4*z, 5*r - 19 = z - w*z. Factor -1/3*c - 2/3 - 9*c**3 + 10*c**z.
-(c - 1)*(3*c - 1)*(9*c + 2)/3
Suppose -56 = -59*t + 121. Factor -p**3 - 2*p**2 - 2*p**t + 0*p**3 + 5*p**3.
2*p**2*(p - 1)
Let p = 221/49 + 341/196. Factor -15/2 + 5/4*t**2 + p*t.
5*(t - 1)*(t + 6)/4
Suppose r = 11*r - 10. Let c be -4 + 5 + 12 - (4 - r). Factor c*s**2 - 2*s**4 - 7*s**3 + 0*s**4 + 2*s**3 - 3*s**4.
-5*s**2*(s - 1)*(s + 2)
Let h(b) be the third derivative of -b**6/60 - 847*b**5/5 - 717409*b**4 - 4861163384*b**3/3 + 4809*b**2. Factor h(i).
-2*(i + 1694)**3
Let y(p) be the first derivative of p**3/24 + 63*p**2 + 31752*p + 1171. Factor y(z).
(z + 504)**2/8
Factor 50333647520154 - 2*r**4 - 224977583368*r - 23055*r**3 - 24560959337834 - 196811895937842 + 598*r**3 - 110972172*r**2 - 1871*r**3.
-2*(r + 3041)**4
Let i(c) be the first derivative of -c**6/180 - c**5/15 - c**4/4 + 43*c**3/3 - 33. Let t(r) be the third derivative of i(r). Factor t(v).
-2*(v + 1)*(v + 3)
Determine o, given that 13/7 + 1/7*o**5 - 26/7*o**3 + 25/7*o - 2/7*o**2 - 11/7*o**4 = 0.
-1, 1, 13
Let t(h) be the second derivative of 17/30*h**4 - 4/5*h**2 + 21/100*h**5 - 2/3*h**3 + h + 7. Factor t(l).
(l + 2)*(3*l - 2)*(7*l + 2)/5
Suppose -10*q**2 + 42 - 2/3*q**3 - 94/3*q = 0. What is q?
-9, -7, 1
Let c(n) be the first derivative of -64*n**5/5 - 312*n**4 - 3076*n**3/3 + 14664*n**2 - 35344*n - 1056. Let c(j) = 0. Calculate j.
-47/4, 2
Suppose -b - b + 2 = 0, 0 = -4*l + 4*b - 20. Let c be l/(-2*2)*1*2. Let -2*z**5 - 2*z**4 - c*z**2 - 2*z**3 + 3*z**4 - 7*z**4 - 4*z**3 = 0. What is z?
-1, 0
Let s be 25/250 - (-247)/(-45). Let k = s - -50/9. Factor k*i + 0 - 1/2*i**3 - 1/3*i**2.
-i*(i + 1)*(3*i - 1)/6
Let i = 288 + -257. Let 324 + 278*n + i*n + 88*n**2 + 12*n**2 + 51*n = 0. Calculate n.
-9/5
Suppose -30*r - 30*r = -9*r. Let i(a) be the first derivative of 2/27*a**3 + 7 + 1/36*a**4 + 0*a**2 - 1/45*a**5 + r*a. Factor i(b).
-b**2*(b - 2)*(b + 1)/9
Suppose -3*d - k + 186 = -5*k, 0 = -2*d - 2*k + 124. Suppose 14*h = -6 + d. Determine w so that 0*w**3 - 23*w**4 + 17*w**h + 12*w**5 + 15*w**4 - 3*w**3 = 0.
-1, 0, 1/4
Let c = -31313 + 31315. Solve -j**3 + 1/2*j**4 - 3/2*j**2 + 4*j - c = 0.
-2, 1, 2
Suppose -4*w - 61 = w + 2*x, -45 = 3*w + 4*x. Let v be 28/(-154) + (-57)/w. Determine l so that 3/4*l**v + 0 + 3/4*l**2 - 3/4*l**4 - 9/4*l**3 + 3/2*l = 0.
-1, 0, 1, 2
Let x(z) be the second derivative of z**6/300 + 2*z**5/75 + z**4/12 + 2*z**3/15 - 57*z**2 - 103*z + 2. Let v(p) be the first derivative of x(p). Factor v(u).
2*(u + 1)**2*(u + 2)/5
Let o(i) be the first derivative of -99/14*i**2 - 169 - 186/7*i - 1/7*i**3. What is p in o(p) = 0?
-31, -2
Let q(z) be the third derivative of 466489*z**5/20 - 683*z**4/2 + 2*z**3 - 546*z**2. Factor q(o).
3*(683*o - 2)**2
Let s be -5 + 1 + (-18 - -19). Let j be s/33*(-165)/30. Factor -j + 2/5*c + 1/10*c**2.
(c - 1)*(c + 5)/10
Let v be (-8 + 2)*7/(28/(-12)). Suppose 2*n + 2*n = 2*d, 0 = -4*d - 4*n + 12. Factor -803 + 14*t**3 - 4*t**d + 803 + v*t**4.
2*t**2*(t + 1)*(9*t - 2)
Factor -1/7*n**3 + 216/7*n + 0 - 106/7*n**2.
-n*(n - 2)*(n + 108)/7
Factor -32/9*u + 64/3 - 4/3*u**2 + 2/9*u**3.
2*(u - 6)*(u - 4)*(u + 4)/9
Let h = 18208 + -18202. Let b(t) be the first derivative of -5/12*t**3 + h + 1/16*t**4 + t**2 - t. Factor b(z).
(z - 2)**2*(z - 1)/4
Let v(o) be the first derivative of 46 + 3*o**2 + 1/3*o**3 + 5*o. Factor v(j).
(j + 1)*(j + 5)
Determine n so that 13/2*n**2 + 45*n + 0 + 1/6*n**3 = 0.
-30, -9, 0
Suppose -20 = -6*l + 2*l. Suppose 1371*i = 3830 + 283. Factor 2/13*b**4 - 12/13*b**i - 28/13*b**2 - 22/13*b + 2/13*b**l - 6/13.
2*(b - 3)*(b + 1)**4/13
Let p(s) be the first derivative of 44/3*s**2 + 16*s - 268/9*s**3 - 77 + 7/2*s**4. Let p(q) = 0. What is q?
-2/7, 2/3, 6
Let j(b) be the first derivative of 5*b**3/3 - 2645*b**2/2 + 2640*b - 4912. Let j(t) = 0. What is t?
1, 528
Let i(a) be the third derivative of -a**5/12 - 35*a**4/6 - 575*a**3/6 - 1729*a**2 + 1. Factor i(p).
-5*(p + 5)*(p + 23)
Let v(k) be the first derivative of -k**3/12 + 2553*k**2/4 - 6517809*k/4 - 10797. Factor v(w).
-(w - 2553)**2/4
Let b be (624/(-520))/((-78)/10). Suppose b - 2/13*h**2 - 12/13*h**3 + 12/13*h = 0. Calculate h.
-1, -1/6, 1
Factor -9194*v**2 + 4815*v**2 + 4865*v**2 - 3*v**4 - 19683.
-3*(v - 9)**2*(v + 9)**2
Let y(o) be the third derivative of -o**5/80 - 21*o**4/32 + 23*o**3/4 + 66*o**2 - 1. Suppose y(