). Factor q(u).
-5*(u - 6)*(u + 2)*(u + 12)
Let o(s) be the third derivative of 5*s**8/336 + s**7/42 - 2*s**6/3 - 4*s**5/3 - 4004*s**2. Suppose o(i) = 0. What is i?
-4, -1, 0, 4
Let j(t) be the third derivative of -13*t**8/23520 + 5*t**7/588 + t**6/105 - t**5/30 - t**4/3 + 296*t**2. Let m(o) be the third derivative of j(o). Factor m(a).
-6*(a - 4)*(13*a + 2)/7
Let v(j) = j**4 + 4*j**3 + 2*j**2 - j + 18. Let a(k) = 4*k**4 + 12*k**3 + 6*k**2 - 2*k + 60. Let x(r) = -6*a(r) + 20*v(r). Factor x(g).
-4*g*(g - 2)*(g - 1)*(g + 1)
Let x be (23 + (-5 - 20))*-2. Solve -8/5*c**x - 14/15*c + 26/15*c**3 + 16/15*c**2 - 4/15 = 0.
-2/3, -1/4, 1
Let s(v) = v**2 - 3*v. Let k(x) = -4*x**2 + 12*x. Let u = 170 - 76. Let d = 96 - u. Let j(t) = d*k(t) + 9*s(t). Solve j(q) = 0 for q.
0, 3
Let k = -184169/70 + 2631. Let d(n) be the second derivative of 27/7*n**2 - 16*n - 1/14*n**4 - 3/7*n**3 + 0 + k*n**5. Factor d(v).
2*(v - 3)**2*(v + 3)/7
Let j = 8 + -3. Let z be (45/105)/((-14)/12*108/(-392)). Find s, given that -8/3*s + 0 - 2*s**j + z*s**4 + 0*s**2 + 6*s**3 = 0.
-1, 0, 2/3, 2
Let o(d) be the first derivative of 0*d - 32 - 4/21*d**3 + 0*d**2 - 3/14*d**4 - 2/35*d**5. Factor o(m).
-2*m**2*(m + 1)*(m + 2)/7
Let p(y) = y**4 + y. Let l = -397 + 398. Let q = 8 + -3. Let k(v) = -6*v**4 + 4*v**3 + 3*v**2 - 23*v. Let m(f) = l*k(f) + q*p(f). Factor m(a).
-a*(a - 3)**2*(a + 2)
Let s(j) = -j**2 - 31*j - 144. Let h be s(-23). What is y in -70*y**2 - 14 + 66*y**2 + 96*y**2 - 20*y**3 - 18 - h*y = 0?
-2/5, 1, 4
Let n(t) = 70*t**4 - 280*t**3 + 280*t**2 - 85*t + 5. Let r(f) = 7*f + 2*f**4 - 5*f - 5 + f**2 + 4 - 3*f. Let l(a) = n(a) + 5*r(a). Factor l(m).
5*m*(m - 2)*(4*m - 3)**2
What is r in -4385342*r + 97738*r**3 - 9842079*r**2 + 2919608*r + r**5 + 4011707*r**2 + 11859482 - 2599635*r - 2060938*r - 542*r**4 = 0?
-2, 1, 181
Factor -60 + 29*m**3 - 5*m**4 - 20*m + 77*m + 21*m**3 + 103*m - 145*m**2.
-5*(m - 6)*(m - 2)*(m - 1)**2
Let f be (-6)/(-56)*570/(-684). Let p = 7/24 - f. Factor -8/21*u + 2/21*u**4 + 2/21 - p*u**3 + 4/7*u**2.
2*(u - 1)**4/21
Let u(s) = s**3 - 6*s**2 - 10. Let m be u(6). Let b = 22 + m. Find d, given that -18 + 4*d**2 - 2*d**2 + b + 8 + 4*d = 0.
-1
Let i = -9 - -6. Let c be (-156)/(-15) + (-1)/5*i. Solve 3*s**4 + 5*s**2 - 15*s**3 - c*s**4 - 12*s**4 = 0 for s.
-1, 0, 1/4
Suppose -31*d + 3296 = 196*d + 345. Let m(c) be the third derivative of -1/140*c**7 - d*c**2 + 0*c**3 + 3/80*c**6 + 0*c**4 + 0*c - 1/20*c**5 + 0. Factor m(b).
-3*b**2*(b - 2)*(b - 1)/2
Determine b so that 1/4*b**5 + 79/2*b**4 + 78*b**3 - 313/4*b - 1/2*b**2 - 39 = 0.
-156, -1, 1
Let q(s) be the second derivative of -s**5/5 - 8*s**4 + 34*s**3 - 52*s**2 + 3*s - 10. Factor q(h).
-4*(h - 1)**2*(h + 26)
Suppose -2*b + 143 - 117 = 0. Suppose -2*r - 2*r = -4*c - 20, 3*r + 4*c + b = 0. Factor 8 - 10*a + 5*a**4 + 10*a**3 - 20*a**2 + 6 + r.
5*(a - 1)**2*(a + 1)*(a + 3)
Let i(w) be the first derivative of 16 - 1/2*w**3 - 24*w + 6*w**2. Suppose i(f) = 0. Calculate f.
4
Let -29*p**4 + 52*p - 15*p + p**5 - 65*p + 27*p**3 + 29*p**2 = 0. Calculate p.
-1, 0, 1, 28
Let h = -218 - -218. Let 0*u**2 + h*u + 5*u + 2*u**2 - 15*u + 6*u = 0. Calculate u.
0, 2
Suppose -432*w + 38 + 1078 = 343*w - 217*w. Factor -4*d + 1/2*d**2 + d**3 - w.
(d - 2)*(d + 2)*(2*d + 1)/2
Suppose 4*p = 5*w - 100, w + 0*p - 20 = p. What is r in -23*r**3 + 31*r - 87*r - 20 - w*r**4 - 44*r - 165*r**2 - 77*r**3 = 0?
-2, -1/2
Let g = 20013 - 12499. What is z in g - 441*z**2 + 446*z**2 + 2166 + 440*z = 0?
-44
Let -2*w**3 + 0 + 84/13*w**2 + 0*w + 2/13*w**4 = 0. Calculate w.
0, 6, 7
Let j be (-20)/(-39) + (-10)/15 + 8/52. Let d(f) be the first derivative of -24 + 0*f - 1/15*f**3 + j*f**2. Factor d(q).
-q**2/5
Let q(o) be the second derivative of -o**4/78 + 994*o**3/13 - 2223081*o**2/13 + 15*o + 164. Find s, given that q(s) = 0.
1491
Let b(i) be the third derivative of i**8/112 + i**7/210 - 31*i**6/40 - 157*i**5/60 + 29*i**4/4 + 12*i**3 + 1965*i**2. Determine v so that b(v) = 0.
-4, -3, -1/3, 1, 6
Suppose 4892 - 140 = 18*w. Let 60 + 334 + 20*z**2 - w*z + 574 - 2*z**2 = 0. Calculate z.
22/3
Let p = -63443 - -63445. Suppose 4/7*u**3 + 4/7*u**p + 12/7 - 20/7*u = 0. What is u?
-3, 1
Let g(b) be the second derivative of -b**4/12 - 2771*b**3/3 - 7678441*b**2/2 - 3597*b. Factor g(p).
-(p + 2771)**2
Factor -71*h**2 + 19*h - 84 + 36*h**2 + 34*h**2.
-(h - 12)*(h - 7)
Let q = 1/3034 - -6051/51578. Factor 24/17 + q*k**2 + 16/17*k.
2*(k + 2)*(k + 6)/17
Let k = -341835 + 341841. Determine c so that -k*c**5 - 15/4*c**4 + 15/4*c**2 + 33/4*c**3 + 0 - 9/4*c = 0.
-1, 0, 3/8, 1
Let x be -5*(-4)/(-5) + 66/6 + -4. Let p(w) be the first derivative of -2/13*w**x + 2/13*w**2 + 2/13*w - 34. Factor p(n).
-2*(n - 1)*(3*n + 1)/13
Let m(x) be the first derivative of -2*x**3/9 - 113*x**2/3 - 220*x + 356. Factor m(d).
-2*(d + 3)*(d + 110)/3
Let y(l) = -2*l**2 + 38*l + 11837. Let f be y(-68). Factor 3*t**3 - 7/3*t**2 - 5/3*t**4 + 0 + 1/3*t**f + 2/3*t.
t*(t - 2)*(t - 1)**3/3
Let j(v) = 4*v**3 + 47*v**2 + 125*v + 109. Suppose -3*k - 58 = -49. Let x(c) = 4*c**3 + 46*c**2 + 126*c + 110. Let i(b) = k*x(b) + 2*j(b). Factor i(a).
-4*(a + 2)**2*(a + 7)
Let h be (16/6)/((-1)/(-3)). Suppose -2*r + h = 2. Factor 0*k - 8*k**r - 333*k**2 + 6*k**4 + 4*k + 331*k**2.
2*k*(k - 1)**2*(3*k + 2)
Let h = -50 - -54. What is v in -784*v - 100*v**3 - 4*v**h - 200*v**2 - 6*v**4 - 6*v**4 + 644*v - 24 = 0?
-3, -2, -1, -1/4
Let v(t) be the second derivative of -t**6/90 + t**5/30 + 5*t**4/36 - t**3/3 + 188*t - 2. Factor v(n).
-n*(n - 3)*(n - 1)*(n + 2)/3
Let b(i) be the first derivative of 0*i - 16/27*i**3 - 92/45*i**5 + 94 + 0*i**2 - 20/9*i**4 - 14/27*i**6. Let b(m) = 0. What is m?
-2, -1, -2/7, 0
Let c be (59 - (-24255)/(-405))*3/(3/(-2)). Factor 2/9*p**3 - 8/9 - 10/9*p**2 + c*p.
2*(p - 2)**2*(p - 1)/9
Let x(a) be the third derivative of -5/9*a**4 + 4/3*a**3 - 1/180*a**6 - 1 + 1/10*a**5 + 0*a + 39*a**2. Factor x(k).
-2*(k - 6)*(k - 2)*(k - 1)/3
Let r(p) = 3*p**2 - 19*p - 47. Let a(w) = -8*w + 62. Let q be a(8). Let z be r(q). Determine x so that -3/7*x**2 + 3/7*x**4 - 6/7*x**z + 0 + 6/7*x = 0.
-1, 0, 1, 2
Let g(b) be the first derivative of -b**2 + 136 + 2/3*b + 2/3*b**3 - 1/6*b**4. Let g(y) = 0. What is y?
1
Factor -t**2 + 1/3*t**4 + 0*t + 0 + 2/3*t**3.
t**2*(t - 1)*(t + 3)/3
Factor 604*v - 202 - 897/2*v**2 - 9/2*v**3.
-(v + 101)*(3*v - 2)**2/2
Let l be 6/15*(18 - (-12)/(-4)). Let o be 8/l - ((-16)/(-3) + -6). Factor -9*p - 3*p**2 + o*p**2 - 2*p**2 + 13 - 19.
-3*(p + 1)*(p + 2)
Let m be ((-2)/12)/(30/(-540)). Let r be 0 + (m/(-14))/((-45)/30). Determine x, given that 2/7 + r*x**5 + 2*x**3 + 16/7*x**2 + 6/7*x**4 + 9/7*x = 0.
-2, -1
Determine l, given that 40147*l**3 - 624 + 54*l**2 + 28*l - 80295*l**3 + 40150*l**3 = 0.
-26, -4, 3
Suppose -126*o + 588 - 1331 + 32*o**2 - 252*o + 671 = 0. What is o?
-3/16, 12
Let x(b) be the second derivative of -1/100*b**5 - 1/12*b**4 - 222*b - 2/5*b**2 + 0 - 4/15*b**3. Solve x(d) = 0.
-2, -1
Let s(r) = 4*r**3 - 33*r**2 + 8*r + 3. Let q be s(8). Suppose 43 - 12*v**2 + 58 + 48*v - 4*v**q - 24*v**2 - 21 = 0. What is v?
-10, -1, 2
Suppose 8 = 6*c - 4. Let u be (21 - 13) + (-5 - c). Factor n - u - 1/4*n**2.
-(n - 2)**2/4
Let i(k) be the first derivative of -2*k**3/21 - 24*k**2/7 - 1218. Factor i(d).
-2*d*(d + 24)/7
Let l(i) be the third derivative of -2 - 7/6*i**4 + 2*i**2 + 0*i - 19/60*i**5 - 1/30*i**6 - 2*i**3. Determine q, given that l(q) = 0.
-2, -3/4
Let y(a) be the first derivative of -a**6/360 + a**5/45 - a**4/18 + 5*a**2/2 + 34. Let r(v) be the second derivative of y(v). Find s, given that r(s) = 0.
0, 2
Let l(j) = j**3 + 57*j**2 - 380*j + 14. Let a be l(6). Let 64/11 - 8/11*h - 2/11*h**a = 0. Calculate h.
-8, 4
Let b = 2/9499 - -9491/37996. Factor -b*v**2 + 7/2 + 5/4*v.
-(v - 7)*(v + 2)/4
Let r(a) = -a**3 + a**2 - a - 1. Let y be r(-1). Let b = 9293 - 46462/5. Factor -2/5 - 1/5*v**y + b*v.
-(v - 2)*(v - 1)/5
Let g(d) = -20*d**2 + 276*d + 1912. Let m(s) = 17*s**2 - 279*s - 1911. Let c(l) = 7*g(l) + 8*m(l). Solve c(q) = 0.
-68, -7
Let b(u) = -1 - u**3 + 3*u**3 + 2*u**2 - u - u**2. Let w(f) = f**2 - f - 1. Suppose -12*j + 3 = -9. Let a(m) = j*w(m) - b(m). Factor a(c).
-2*c**3
Let o be (-46)/14 - (8 - (-464)/(-56)). Let y be (120/45)/((-2)/o). Let -2*u**3 - 20*u + 10*u**3 + 10*u*