. Factor b(h).
-(h - 53)*(h - 19)*(h + 1)
What is c in -233/4*c + 5*c**2 + 1/4*c**3 - 297 = 0?
-27, -4, 11
Factor -607*m**3 + 595*m**3 + 22*m**2 + 232*m + 212 + 68.
-2*(m + 2)**2*(6*m - 35)
Let j(l) be the second derivative of -l**4/4 + 35*l**3/2 + 171*l**2 - l + 187. Factor j(w).
-3*(w - 38)*(w + 3)
What is z in 45*z**2 + 3*z**2 + 145 - 579*z + 9*z**2 - 61*z**2 = 0?
-145, 1/4
Suppose -6997*l + 6995*l = -4*s + 44, 5*l = -5*s - 65. Let b = 2 - 2. Factor -6/7*p**s - 4/7*p**2 - 2/7*p**4 + b + 0*p.
-2*p**2*(p + 1)*(p + 2)/7
Find i, given that -4*i**2 - 7227*i + 2672 + 3664*i + 6231*i = 0.
-1, 668
Suppose -4*s + 4*q = -94 + 14, -3*s - 5*q = -28. Let y(d) = d**3 - 16*d**2 + 3. Let x be y(s). Factor 3*l**2 + 5*l**3 + l**3 - 3*l**x.
3*l**2*(l + 1)
Let p(b) be the second derivative of -b**6/1620 - b**5/180 + b**4/27 - 43*b**3/3 + 85*b. Let k(r) be the second derivative of p(r). Factor k(f).
-2*(f - 1)*(f + 4)/9
Let h(l) be the third derivative of -l**6/90 + 19*l**5/45 - 5*l**4 + l**2 - 3*l - 132. Suppose h(g) = 0. Calculate g.
0, 9, 10
Let r(c) be the third derivative of 0 + 1/102*c**4 + 0*c**3 + 1/102*c**5 - 1/2856*c**8 - 1/1785*c**7 + 1/340*c**6 + 60*c**2 + 0*c. Let r(l) = 0. Calculate l.
-1, 0, 2
What is r in -1360*r + 205*r**3 + 339*r**2 - 412*r**2 - 2*r**4 - 721*r**2 - 3*r**4 - 356*r**2 = 0?
-1, 0, 8, 34
Factor -85782/5 - 276/5*j**2 - 8439/5*j - 3/5*j**3.
-3*(j + 29)**2*(j + 34)/5
Let l(z) be the first derivative of -z**6/48 + 7*z**5/30 + 47*z**4/48 + 7*z**3/6 + 3*z**2/2 - 2*z - 50. Let f(d) be the second derivative of l(d). Factor f(g).
-(g - 7)*(g + 1)*(5*g + 2)/2
Let n be -1 + (-2)/(7/2 + -4). What is y in y**n - 3738*y - 9*y**2 - 5*y**2 + 3738*y = 0?
0, 14
Find m, given that -220*m**4 - 446/3*m**2 + 0 + 28/3*m + 1726/3*m**3 = 0.
0, 1/10, 2/11, 7/3
Suppose 4*f - 100 = -4*l, -f - 31 = -2*f + 2*l. Let g be ((-8970)/12)/(-13) - (-2)/(-4). Let 60*m**3 - 18*m**2 + f*m**4 + g*m**2 + 67*m - 61*m = 0. What is m?
-1, -2/9, 0
Suppose 1027*i - 5887*i**3 + 665*i**2 - 1965 + 268*i + 5892*i**3 = 0. What is i?
-131, -3, 1
Let -591*h - 657*h - 16*h**2 + 314*h + 268 + 2*h**2 = 0. Calculate h.
-67, 2/7
Let b = -126647/56 - -18865/8. Factor 780/7*z + 4/7*z**3 + b + 108/7*z**2.
4*(z + 1)*(z + 13)**2/7
Suppose 0 = 31*a - 67 + 5. Solve -15*t + 5*t**3 - 16*t**2 + 29*t**2 - 3*t**a = 0 for t.
-3, 0, 1
Let d(v) be the third derivative of 37*v**5/12 + 45*v**4/4 - 100*v**3/3 + 2*v**2 - 475*v. Solve d(a) = 0 for a.
-2, 20/37
Let p be (-1635)/105*(-97 + 0)/(-1). Let d = p + 1511. Solve -d*r + 2/7 + 2/7*r**2 = 0.
1
Find r such that 0 - 4/5*r**2 + 1636/5*r = 0.
0, 409
Let h(p) be the third derivative of 0*p**3 + 4*p**4 - 11/20*p**6 + 8/5*p**5 + 0*p - 2*p**2 + 42 + 3/70*p**7. Factor h(s).
3*s*(s - 4)**2*(3*s + 2)
Let j(r) = -6*r + 72. Let i be j(11). Suppose 14*l = i*l - 8*l. Factor l - 6/5*h**3 - 8/5*h**2 + 4/5*h**4 + 8/5*h + 2/5*h**5.
2*h*(h - 1)**2*(h + 2)**2/5
Let x be 0*18/54*1. Let z(o) be the third derivative of 1/270*o**5 + 0*o - 1/36*o**4 + x*o**3 - 30*o**2 + 0. Determine t so that z(t) = 0.
0, 3
Let n(p) be the second derivative of -1/30*p**5 + 2/3*p**4 + 20*p - 2 + 0*p**2 - 20/9*p**3. Factor n(q).
-2*q*(q - 10)*(q - 2)/3
Let n(i) be the second derivative of -i**6/90 - i**5/15 + 173*i**4/36 - 130*i**3/3 + 102*i**2 - 3271*i. Suppose n(t) = 0. What is t?
-17, 1, 6
Let b(w) be the second derivative of -39/80*w**5 - 1/56*w**7 + 0*w**2 + 0 + 3/16*w**4 - 7/40*w**6 + 9/4*w**3 - 95*w. Solve b(z) = 0.
-3, -2, 0, 1
Let y(f) be the second derivative of f**6/40 - 51*f**5/80 + 7*f**4/2 + 17*f**3/2 - 90*f**2 + f - 2293. Solve y(i) = 0 for i.
-2, 2, 5, 12
Let k(w) be the third derivative of -3*w**6/200 - w**5/50 - 1413*w**2. Find p such that k(p) = 0.
-2/3, 0
Let t(k) be the second derivative of k**7/231 + 3*k**6/55 + 27*k**5/110 + 9*k**4/22 + 100*k + 2. Find d, given that t(d) = 0.
-3, 0
Suppose 4*s + 4*c = 5*s - 69, 4*c - 8 = 0. Factor -4*k**2 + s*k + 16 + 75*k - 208*k + 68*k.
-4*(k - 4)*(k + 1)
Let u(w) = -w**3 - w**2 + w - 1. Let g(k) = -2*k**3 - 6*k**2 + 2*k. Suppose -17*o = -11*o - 36. Let b(d) = o*u(d) - 2*g(d). Factor b(q).
-2*(q - 3)*(q - 1)*(q + 1)
Factor 4/7*j**2 + 912/7 + 244/7*j.
4*(j + 4)*(j + 57)/7
Let z(n) be the second derivative of -n**5/90 - 71*n**4/54 - 520*n**3/9 - 1100*n**2 + 2888*n. Suppose z(j) = 0. Calculate j.
-30, -11
Let i(o) be the first derivative of -3*o**4/4 + 25*o**3 - 141*o**2/2 + 69*o + 7157. Factor i(s).
-3*(s - 23)*(s - 1)**2
Let r be (0 - (-1)/3)/(2/30). Factor 2*m**2 + r - 6*m + 3 - 14*m + 12*m.
2*(m - 2)**2
Let d(i) be the second derivative of 2/3*i**3 + 5/24*i**4 + 1/60*i**5 + 3/2*i**2 + 29*i + 0. Let m(h) be the first derivative of d(h). Factor m(n).
(n + 1)*(n + 4)
Let u(x) be the second derivative of 5*x**4/12 + 305*x**3/3 + 2925*x**2/2 + 1067*x. Suppose u(c) = 0. What is c?
-117, -5
Let i = -3/919 + -142439/1838. Let t = i + 1411/18. Solve 2/3*c**4 - 16/9*c**2 + 0 + t*c + 2/9*c**3 = 0.
-2, 0, 2/3, 1
Let c(m) = -m**4 + 2*m**3 + m**2 + m - 1. Let s(r) = -12*r**4 - 85*r**3 - 2797*r**2 + 2927*r - 11. Let t(a) = 44*c(a) - 4*s(a). Factor t(o).
4*o*(o - 1)*(o + 54)**2
Let h(x) = -51 + 51 - 4*x. Let l(t) = t**5 + t - 3*t + 0*t**3 - t**3 + t + 6780*t**4 - t**2 - 6779*t**4. Let d(s) = -h(s) + 4*l(s). Factor d(u).
4*u**2*(u - 1)*(u + 1)**2
Suppose 0 = 4*g - 13*k - 6*k + 197, 0 = -g + 2*k - 19. Suppose 36/5 + 201/5*j**2 + 96/5*j**3 + g*j**4 + 156/5*j = 0. Calculate j.
-3, -2, -1, -2/5
Determine k, given that 778 + 807 + 890 + 5*k**3 + 30*k**2 - 2595 - 20*k = 0.
-6, -2, 2
Factor 2/11*j**2 + 40 + 442/11*j.
2*(j + 1)*(j + 220)/11
Let f(c) = -16*c - 61. Let k be f(-4). Factor 11 - 4*w - 8 + 2*w**2 - k.
2*w*(w - 2)
Let z(i) be the third derivative of 32*i**2 - 1/210*i**5 - 961/21*i**3 + 0 + 0*i + 31/42*i**4. Factor z(k).
-2*(k - 31)**2/7
Factor -226 - 227*l - 1/4*l**3 - 115/2*l**2.
-(l + 2)**2*(l + 226)/4
Suppose -6*j + 15 = -5*j + g, -j + 4*g + 10 = 0. Suppose -32*b + 92 = j*b. Solve -4/9*m + 0 + 10/9*m**4 - 2/9*m**5 + 14/9*m**2 - b*m**3 = 0.
0, 1, 2
Suppose -72*f = -68*f - 284. Determine d so that -71*d - 16*d**4 - 12*d**2 - 2*d**5 + f*d - 26*d**3 = 0.
-6, -1, 0
Let b(c) be the first derivative of 1/48*c**4 - 1/240*c**5 - 1/24*c**3 - 16*c**2 + 0*c + 13. Let w(i) be the second derivative of b(i). Factor w(k).
-(k - 1)**2/4
Let -86*w**3 + 4*w - 477*w**2 + 191*w + 39*w**4 + 42 + 100*w**3 - 53*w**3 + 240*w**3 = 0. What is w?
-7, -2/13, 1
Let v = -195 + 198. Determine i, given that 2*i**4 + 30*i**2 - 104 - 111*i**v + 7*i**4 + 268*i - 106*i**2 - 22*i**2 = 0.
-2, 2/3, 13
Let p(d) be the first derivative of -d**3/4 - 945*d**2/2 - 297675*d + 5141. Solve p(a) = 0 for a.
-630
Solve -50/3*n**2 - 20/3*n**3 + 0*n - 2/3*n**4 + 0 = 0 for n.
-5, 0
Let m(c) be the third derivative of c**8/336 - c**7/42 + c**6/30 + 4*c**5/15 - 4*c**4/3 + 8*c**3/3 - c**2 - 12*c + 2. Suppose m(i) = 0. What is i?
-2, 1, 2
Let l(g) = -19*g**3 - 219*g**2 - 615*g - 142. Let c(z) = -6*z**3 - 73*z**2 - 204*z - 47. Let j(y) = -21*c(y) + 6*l(y). Factor j(v).
3*(v + 3)*(v + 15)*(4*v + 1)
Factor -8927 - 21904*j**3 + 8927 - 36*j - 1776*j**2.
-4*j*(74*j + 3)**2
Let t(d) = -d**3 + 8*d**2 - 10*d. Suppose 5*w - 9 - 1 = -2*n, 20 = -4*n. Let a be t(w). Determine q so that 34*q + 27*q - a*q**2 - 32 - 13*q + 4*q**3 = 0.
2
Let n(z) be the third derivative of -z**5/180 - 373*z**4/72 - 62*z**3/3 - 2698*z**2. Factor n(k).
-(k + 1)*(k + 372)/3
Let h(u) = 5*u**4 + 220*u**3 - 450*u**2 - 680*u + 10. Let g(a) = 5*a**4 + 222*a**3 - 449*a**2 - 684*a + 12. Let w(f) = 5*g(f) - 6*h(f). Factor w(z).
-5*z*(z - 3)*(z + 1)*(z + 44)
Suppose 5*u + 5 + 7 = -4*q, -5*u - 16 = 2*q. Let w(t) be the second derivative of -1/3*t**4 + 1/10*t**5 - 6*t - 1/3*t**3 + 2*t**q + 0. Solve w(i) = 0 for i.
-1, 1, 2
Let t(o) be the third derivative of -o**5/60 + 29*o**4/24 + 85*o**3/3 - 3817*o**2. Suppose t(u) = 0. What is u?
-5, 34
Let a(b) be the third derivative of 5*b**8/2016 + b**7/42 - 47*b**6/144 - 7*b**5/3 + 245*b**4/9 + 1130*b**2. Factor a(f).
5*f*(f - 4)**2*(f + 7)**2/6
Let y(j) be the third derivative of j**5/15 + 29*j**4/3 + 144*j**3 + 4*j**2 + 481*j. Factor y(s).
4*(s + 4)*(s + 54)
Find n such that -123/2*n**2 + 9*n**4 + 486 + 317/4*n**3 + 1/4*n**5 - 513*n = 0.
-18, -3, 1, 2
Suppose 4*m + 2*d = 34, -3*d = -d - 2. Let p be (12/(-1