s**5/5 + 7*s**4 + 32*s**3/3 - 24*s**2 - 2374. Solve o(c) = 0.
-3, -2, 0, 1, 2
Let m(y) be the third derivative of y**8/1176 + 12*y**7/245 + 9*y**6/20 + 137*y**5/105 + 10*y**4/7 - 4204*y**2. Determine i so that m(i) = 0.
-30, -4, -1, 0
Let f = -1291490 - -1291494. Solve 2/7*x**f - 54/7*x**2 - 8 - 4/7*x**3 - 104/7*x = 0 for x.
-2, -1, 7
Factor 234*k - 2/3*k**3 + 116*k**2 + 352/3.
-2*(k - 176)*(k + 1)**2/3
Let u(d) be the second derivative of -d**8/1680 - 2*d**7/63 - 5*d**6/9 + 119*d**4/12 - d + 68. Let o(k) be the third derivative of u(k). Solve o(q) = 0 for q.
-10, 0
Let d = -76629 - -76631. Let -11/8 - 3/2*z - 1/8*z**d = 0. Calculate z.
-11, -1
Solve -46*a**2 + 81*a + a**3 - 108 + 5*a**2 + 23*a**2 = 0.
3, 12
Let k(w) be the first derivative of 50 + 2/3*w**3 + 10*w**2 + 50*w. Determine o so that k(o) = 0.
-5
Let p(h) be the first derivative of -h**4/4 - 2*h**3 - 9*h**2/2 + 34*h + 31. Let x(i) be the first derivative of p(i). Factor x(o).
-3*(o + 1)*(o + 3)
Factor 2/5*m**3 + 178*m**2 + 0 + 888/5*m.
2*m*(m + 1)*(m + 444)/5
Let m(y) be the third derivative of 0 - 47/2*y**4 - 164*y**2 - 1/10*y**6 + 14/3*y**5 + 0*y - 84*y**3. Determine h, given that m(h) = 0.
-2/3, 3, 21
Suppose 12*u**3 - 1409*u**2 - 12*u + 12*u + 1413*u**2 = 0. What is u?
-1/3, 0
Let x(k) = -51*k - 59*k - 53*k + 4 - 3*k**2 + 160*k + 4*k**2. Let u be x(2). Let 3/5*b**u - 9/5 + 6/5*b = 0. What is b?
-3, 1
Let v(y) be the first derivative of 3*y**5/10 + 3*y**4/2 - 72*y**3 + 528*y**2 - 1536*y + 1573. Factor v(c).
3*(c - 4)**3*(c + 16)/2
Let u(f) be the third derivative of f**6/630 - f**5/210 - 2*f**4/7 + 17*f**3/2 + 2*f**2 + 31*f. Let r(t) be the first derivative of u(t). Factor r(j).
4*(j - 4)*(j + 3)/7
Let i(a) = 166*a**3 + a - 1. Let x be i(2). Let w = -3986/3 + x. Factor 2/3 + w*h - 1/3*h**2.
-(h - 2)*(h + 1)/3
Let s(n) be the third derivative of -n**8/84 - 2*n**7/7 - 3*n**6/2 - n**5/3 + 11*n**4 - 53*n**2 + 6. Solve s(z) = 0.
-11, -3, -2, 0, 1
Let v(a) be the second derivative of a**7/126 + a**6/18 - 1209*a. Suppose v(r) = 0. What is r?
-5, 0
Factor -284*y - 27 - 16769*y**2 + 307 + 8388*y**2 + 8385*y**2.
4*(y - 70)*(y - 1)
Factor -5152/5*i - 10288/5 - 4/5*i**2.
-4*(i + 2)*(i + 1286)/5
Let g(l) be the first derivative of l**3/12 - 765*l**2/4 + 585225*l/4 - 3501. Factor g(u).
(u - 765)**2/4
Let q(n) be the second derivative of 3/10*n**3 + 1/20*n**4 - 1/100*n**5 + 3*n + 1/2*n**2 - 27. Solve q(a) = 0.
-1, 5
Let r(f) = -6*f**3 - 1206*f**2 - 2394*f - 1086. Let h(x) = 3*x**3 + 603*x**2 + 1197*x + 537. Let t(n) = 9*h(n) + 5*r(n). Find d such that t(d) = 0.
-199, -1
Let u(a) be the first derivative of -12168/11*a - 60 - 2/33*a**3 + 156/11*a**2. Determine l so that u(l) = 0.
78
Let y(x) = -2487*x**2 - 1488*x - 30. Let h(z) = 9*z**2 + z - 1. Let m(a) = -6*h(a) + y(a). Factor m(i).
-3*(7*i + 4)*(121*i + 2)
Let y = -135 - -170. Solve 24*t + 5*t - 19*t - 12*t**2 + 13*t**2 + y*t = 0 for t.
-45, 0
Let m(h) be the third derivative of -h**6/180 - 4*h**5/3 - 100*h**4 + 4302*h**2. Factor m(a).
-2*a*(a + 60)**2/3
Let s be 306/7 - -1 - (-2)/7. Factor d**5 + 13*d**3 + 45*d + 93*d - s*d**2 - 188*d + 9*d**4.
d*(d - 2)*(d + 1)*(d + 5)**2
Let v(y) be the first derivative of -76 + 3*y + 5/8*y**2 - 1/24*y**3. Factor v(n).
-(n - 12)*(n + 2)/8
Let s = 427 - 425. Let h(y) = -15*y**3 + 2*y**2 - 1. Let q be h(-1). Factor 4*c**2 + 15*c**3 - 29*c**s + 5*c + q - 11.
5*(c - 1)**2*(3*c + 1)
Suppose 150*c + 36*c**2 + 144 - 20*c**2 - c**2 - 12*c**2 - 3*c**3 = 0. Calculate c.
-6, -1, 8
Find x, given that 398/7*x**2 + 2/7*x**4 - 42*x - 106/7*x**3 + 0 = 0.
0, 1, 3, 49
Let b = 38229 + -190782/5. Solve 252/5*m - b*m**4 - 786/5*m**2 - 27/5 + 924/5*m**3 = 0.
3/11, 1
Let s(n) = -11*n - 196. Let z = 749 + -767. Let w be s(z). Factor 3/7 + 12/7*t**3 + 18/7*t**w + 3/7*t**4 + 12/7*t.
3*(t + 1)**4/7
Let b(d) = d**2 - d + 2. Let g be 2/6*0/3 + 0. Let w be b(g). Determine r, given that -300*r**2 - w + 302*r**2 - r**3 + 2*r - r**3 = 0.
-1, 1
Let u(q) be the first derivative of -1/16*q**4 - 19 + 3*q + 9/8*q**2 + 1/4*q**3. Let c(m) be the first derivative of u(m). Factor c(t).
-3*(t - 3)*(t + 1)/4
Let b(u) be the second derivative of -8*u + 21/2*u**2 + 0 + 0*u**3 + 1/24*u**4 + 1/240*u**5. Let w(v) be the first derivative of b(v). Factor w(r).
r*(r + 4)/4
Let d(o) be the first derivative of -28*o**3/11 - 43*o**2/11 - 2*o/11 + 677. Suppose d(l) = 0. What is l?
-1, -1/42
Let h = 1 + -16. Let d be ((-12)/10)/(5 - (-81)/h). Factor 12*g**3 - 4*g**4 - 30*g**2 + 3*g + g + 10*g**2 + 5*g**d.
-g*(g - 2)**2*(4*g - 1)
Let d be (-39)/273 - (-29)/7. Factor 32*l**4 + 4*l**3 + 2*l**3 + 0*l**3 - 40*l**d + 2*l**5.
2*l**3*(l - 3)*(l - 1)
Factor -2*u**4 + 23*u - 106 - 135 - u + 2*u - 20*u**2 + 263 - 24*u**3.
-2*(u - 1)*(u + 1)**2*(u + 11)
Let d(c) be the third derivative of c**5/90 + 4*c**4/9 + 13*c**3/3 + 7*c**2 + 89. Factor d(q).
2*(q + 3)*(q + 13)/3
Suppose -7*a**2 + 657*a**3 + 8 - a**2 + 106*a**3 + 62*a**3 - 812*a - 13*a**3 = 0. What is a?
-1, 2/203, 1
Let -4*s**4 + s**2 + 29 + 49849*s**3 + 88*s + 2*s**2 - 49965*s**3 = 0. What is s?
-29, -1/2, 1
Let o(a) = -14*a - 32. Let t be o(-4). Determine h so that 55*h + 4*h**2 - t - 46 + h**2 + 10 = 0.
-12, 1
Let w = -699187/4 - -174798. Factor -w*n**2 + 60*n - 720.
-5*(n - 24)**2/4
Let h(g) = -g**2 + 14*g + 54. Let v be h(-3). Solve 29*i**3 - 13*i**3 - 25*i**3 - v*i**4 - 6*i**2 = 0.
-2, -1, 0
Let k(h) be the first derivative of -1/19*h**4 - 10 - 1/190*h**5 - h - 3/19*h**3 + 0*h**2. Let y(b) be the first derivative of k(b). Factor y(p).
-2*p*(p + 3)**2/19
Let n be 4*(-12)/(-16)*(2 + -1). Factor -32*z**2 + 1907*z**3 - 3802*z**3 - 44*z + 72 + 1899*z**n.
4*(z - 9)*(z - 1)*(z + 2)
Let k(p) be the first derivative of -800/7*p + 65 - 2/21*p**3 + 40/7*p**2. Solve k(o) = 0 for o.
20
Let l(b) be the second derivative of 2/15*b**6 - 23/3*b**4 - 1/5*b**5 - 26*b**3 + 0 - 36*b**2 + 117*b. Suppose l(t) = 0. What is t?
-3, -1, 6
Let k(n) be the first derivative of -2/5*n**5 + 4*n**2 - 119 + 0*n - 2*n**4 + 2/3*n**3. Factor k(x).
-2*x*(x - 1)*(x + 1)*(x + 4)
Let s be 7/2*-96*471/(-70336). Find q such that s + 3/4*q**3 + 15/4*q**2 + 21/4*q = 0.
-3, -1
Factor 4*b**5 + 0*b**5 - 93*b**4 - 52*b**4 + 3840*b**2 + 6*b**5 - 5*b**5 + 800*b**3.
5*b**2*(b - 16)**2*(b + 3)
Let t(f) be the third derivative of -f**5/300 - 8*f**4/5 - 1536*f**3/5 - 3*f**2 + 162. Factor t(j).
-(j + 96)**2/5
Let d(s) be the third derivative of s**8/168 - s**7/21 - 17*s**6/60 + 7*s**5/10 + 6436*s**2. Factor d(m).
2*m**2*(m - 7)*(m - 1)*(m + 3)
Let z be (12/26)/3 + (-722)/(-39). Let n(d) be the first derivative of 40*d**2 - d**4 - 10 - 32*d - 2/3*d**6 + 16/5*d**5 - z*d**3. Let n(v) = 0. What is v?
-2, 1, 2
Let z(c) be the second derivative of 27/140*c**5 + 3*c - 25 - 1/70*c**6 + 22/7*c**3 - 36/7*c**2 - 15/14*c**4. Factor z(s).
-3*(s - 3)*(s - 2)**3/7
Let r(n) be the second derivative of -n**4/90 + 464*n**3/45 - 308*n**2/5 - 5*n - 224. Factor r(i).
-2*(i - 462)*(i - 2)/15
Let h(a) = -a**3 + 6*a**2 + 12*a - 69. Let n be h(6). Let -123*k**n - 8*k**2 + 1117*k - 1087*k - 99*k**4 - 15*k**5 - k**2 = 0. What is k?
-5, -1, 0, 2/5
Let j(i) be the second derivative of 13 - 9/14*i**2 - 3*i + 1/140*i**5 - 11/84*i**4 + 19/42*i**3. Find f such that j(f) = 0.
1, 9
Determine d, given that -529611735*d - 958*d**4 + 538294558 + 16*d**5 - 13294028*d**2 + 1605294252 - 170852*d**3 - 18*d**5 + 171756413*d = 0.
-121, 5
Let f be (60 + -4)/(-4) + 2196/78 - 14. Solve 4/13*p**4 - 16/13*p**2 + 14/13*p - f*p**5 + 4/13*p**3 - 4/13 = 0 for p.
-2, 1
Let l(o) = -4*o**2 - 29*o - 4. Let q = -28 - -21. Let a be l(q). Factor -2*j**4 + 6*j**5 + 0*j**5 - 3*j**a + 2*j - 5*j**5 + 8*j**2 - 6*j.
j*(j - 2)*(j - 1)**2*(j + 2)
Let l(r) be the first derivative of -5*r**3/3 + 120*r**2 - 235*r + 1029. Factor l(i).
-5*(i - 47)*(i - 1)
Let g be (-3 + (-104)/(-16))*(-1)/(-350). Let k(j) be the second derivative of 4/15*j**3 - 1/12*j**4 + 0 - 2/5*j**2 + g*j**5 - 5*j. Find f, given that k(f) = 0.
1, 2
Let a(q) = -5*q**2 - 14*q + 14. Let h(o) = 2*o**2 - 1. Let v(x) = -a(x) - 6*h(x). Let m(z) = 2*z**2 - 5*z + 3. Let s(t) = 8*m(t) + 3*v(t). Factor s(d).
-d*(5*d - 2)
Factor -9403 + 5*l**3 - 10398 + 18811 + 70*l**2 - 925*l.
5*(l - 9)*(l + 1)*(l + 22)
Factor 651/8*x**2 + 0 + 441/2*x + 3/8*x**4 + 39/4*x**3.
3*x*(x + 7)**2*(x 