 Factor 1/2*b**2 - d + b.
(b - 4)*(b + 6)/2
Let k(z) be the second derivative of 21 - 27/8*z**3 + 1/5*z**6 - 153/80*z**5 + 45/8*z**4 + z + 0*z**2. Determine i, given that k(i) = 0.
0, 3/8, 3
Let l(n) be the third derivative of -1/210*n**7 + 3/20*n**6 - 28*n + 3*n**2 + 0*n**4 + 0*n**3 + 0*n**5 + 0. Suppose l(w) = 0. Calculate w.
0, 18
Factor 600*g + 1046 - 1665*g - 5*g**2 + 7794.
-5*(g - 8)*(g + 221)
Solve -3025*c + 331*c**2 + 4*c**4 + 1111*c**2 + 826*c**2 - 180*c**3 - 4219*c + 1952*c = 0 for c.
0, 3, 21
Let a be (288/(-486))/((-2)/6). Let u(d) be the second derivative of -8/27*d**3 + a*d**2 + 0 + 1/54*d**4 + 10*d. Factor u(g).
2*(g - 4)**2/9
Let l(w) be the first derivative of -w**4/2 + 50*w**3/3 + 146*w**2 + 240*w - 2050. Suppose l(c) = 0. Calculate c.
-4, -1, 30
Let n(k) be the third derivative of 0*k**3 - 1/42*k**7 + 1/4*k**5 + 0*k + 0 - 16*k**2 + 0*k**6 + 5/12*k**4. Factor n(g).
-5*g*(g - 2)*(g + 1)**2
Determine x, given that 3/4*x**2 - 195/2 - 387/4*x = 0.
-1, 130
Let o(t) be the third derivative of t**5/70 - 601*t**4/84 - 134*t**3/7 - 1111*t**2. Factor o(w).
2*(w - 201)*(3*w + 2)/7
Let c(k) be the first derivative of -k**6/18 - 2*k**5/5 - 3*k**4/4 - 4*k**3/9 + 2200. Let c(d) = 0. What is d?
-4, -1, 0
Let y(c) be the first derivative of c**5/48 - 5*c**4/6 + 25*c**3/8 + c**2/2 - 46*c + 6. Let q(t) be the second derivative of y(t). Factor q(x).
5*(x - 15)*(x - 1)/4
Let a(r) be the first derivative of 2/3*r**3 + 178 + 0*r + 23*r**2. Factor a(j).
2*j*(j + 23)
Let l(f) be the third derivative of f**8/1848 - 16*f**7/1155 + 37*f**6/660 + 19*f**5/165 - 41*f**4/33 + 104*f**3/33 - 2*f**2 + f + 70. What is o in l(o) = 0?
-2, 1, 2, 13
Let b(o) be the third derivative of 4*o**8/21 + 4304*o**7/105 + 96121*o**6/30 + 93969*o**5 - 240975*o**4/2 + 60750*o**3 + 2263*o**2. Factor b(g).
4*(g + 45)**3*(4*g - 1)**2
Let f be ((-36)/48)/((-9)/16). Let g(w) be the first derivative of -7*w**2 - f*w**3 - 8*w - 31 + 1/2*w**4. Factor g(p).
2*(p - 4)*(p + 1)**2
Let l(y) be the third derivative of 31/24*y**4 + 33*y**2 - 1/105*y**7 + y**3 - 5/336*y**8 + 1/4*y**6 + 13/15*y**5 + 0*y + 0. Factor l(k).
-(k - 3)*(k + 1)**3*(5*k + 2)
Let q(d) = -14*d - 9. Let p be q(-3). Let n be 72/p - (20/22)/5. Suppose 6*j**2 - 10*j - 9 - 9*j**n - 2*j = 0. Calculate j.
-3, -1
Suppose 78*o + 112*o = -211*o + 91*o. Factor -85/4*l - 5/4*l**2 + o.
-5*l*(l + 17)/4
Factor 3*y**3 + 60*y + 65717*y**2 - 131453*y**2 + 65709*y**2.
3*y*(y - 5)*(y - 4)
Let w(p) be the third derivative of 54*p**2 - 1/300*p**6 - 1/30*p**4 - 1/50*p**5 + 0 + 0*p**3 + 0*p. Factor w(a).
-2*a*(a + 1)*(a + 2)/5
Let i(b) = -10*b - 210. Let p be i(-21). Let j(a) be the second derivative of 1/24*a**4 + 0*a**2 + p + 1/6*a**3 + 5*a. Determine q so that j(q) = 0.
-2, 0
Factor -995*j + 1380 + 5*j**3 + 198540*j**2 - 1065*j - 197865*j**2.
5*(j - 2)*(j - 1)*(j + 138)
Let z(a) = -6*a**3 - a**2 - 3. Let r(j) = -42*j**3 + 1239*j**2 - 3248*j + 1601. Let b(f) = r(f) - 5*z(f). Factor b(x).
-4*(x - 101)*(x - 2)*(3*x - 2)
Let x = 12728 - 88870/7. Solve -36/7*u - 6*u**5 + 0 - 226/7*u**3 + x*u**4 - 30*u**2 = 0 for u.
-1/3, -2/7, 0, 3
Let s(z) be the second derivative of -267/20*z**5 - 4*z + 16 - 2/5*z**6 - 253/2*z**4 + 0*z**2 - 121/2*z**3. Let s(d) = 0. What is d?
-11, -1/4, 0
Suppose -y = -5*y - 20, -m = 3*y - 755. Solve 22*g - 4205 + m*g - 25*g**2 + 78*g - 20*g**2 = 0.
29/3
Let l(a) be the third derivative of -a**8/42 - 22*a**7/105 + 27*a**6/10 + 389*a**5/15 - 247*a**4/6 - 140*a**3 - 974*a**2 - 4*a. Let l(c) = 0. What is c?
-7, -5, -1/2, 1, 6
Determine h, given that -40374098/17 - 2/17*h**2 - 17972/17*h = 0.
-4493
Let l(f) be the second derivative of -f**4/42 + 23*f**3/21 + 20*f**2 + 4966*f. Determine j so that l(j) = 0.
-5, 28
Let n = 59 - 49. Factor -2*s**2 + 27*s + n*s + 6*s + 5*s + 50.
-2*(s - 25)*(s + 1)
Suppose -5 = 4*y - 1, 0 = 3*v - y - 7. Let x be (71 - 72)*3/(1/(-1)). Factor -2/7*p**x + 0 + 2/7*p**v + 4/7*p.
-2*p*(p - 2)*(p + 1)/7
Determine n so that 4608 - 3/2*n**2 - 2301*n = 0.
-1536, 2
Suppose 27*k = -11*k + 332*k. Let n(p) be the second derivative of 10*p + 1/56*p**7 + 0*p**2 - 1/8*p**3 + 1/8*p**4 + 0 - 1/20*p**6 + k*p**5. Factor n(y).
3*y*(y - 1)**3*(y + 1)/4
Factor 657 + 455*l**2 - 1013*l**2 + 91*l + 560*l**2.
(l + 9)*(2*l + 73)
Factor -16/7 + 211647634/7*u**3 - 2684748/7*u**2 + 11352/7*u.
2*(473*u - 2)**3/7
What is g in -128/3*g + 368/9*g**2 - 92/9*g**4 - 4/9*g**5 + 0 + 112/9*g**3 = 0?
-24, -2, 0, 1, 2
Suppose -21 = 173*m - 170*m. Let v be ((-4)/20)/((-111)/15 - m). Find q, given that -v*q**2 + q - 1/2 = 0.
1
Let t(l) = -l**3 + l**2 + 16*l - 43. Let d be t(7). Let z be d/(-35) + 20/(-5) + 1. What is n in 0 - 18/7*n**5 + 3/7*n**2 - 6/7*n - 3/7*n**4 + z*n**3 = 0?
-1, -2/3, 0, 1/2, 1
Let j(w) be the second derivative of 0*w**3 + 0*w**2 - 7 - 2/3*w**4 + 2*w - 1/30*w**5. Factor j(n).
-2*n**2*(n + 12)/3
Factor 1/3*a**4 - 66*a**3 + 9800/3*a**2 + 66*a - 3267.
(a - 99)**2*(a - 1)*(a + 1)/3
Let t(n) = -55*n**2 + 295*n + 675. Let s(u) = -26*u**2 + 148*u + 337. Let f(w) = -15*s(w) + 7*t(w). Factor f(j).
5*(j - 33)*(j + 2)
Let f(a) be the third derivative of a**9/1008 - 3*a**8/560 - a**7/70 + a**6/10 + 22*a**3 + 104*a**2 + a. Let s(b) be the first derivative of f(b). Factor s(j).
3*j**2*(j - 3)*(j - 2)*(j + 2)
Let c(f) be the first derivative of 2*f**3/15 + 52*f**2/5 + 40*f + 4400. Let c(t) = 0. What is t?
-50, -2
Let t be (420/(-330))/(252/(-88)). Let -26/9*d - 20/9 + 2/9*d**3 - t*d**2 = 0. What is d?
-2, -1, 5
Let b(z) be the first derivative of -z**3 + 663*z**2 - 146523*z - 904. Find u such that b(u) = 0.
221
Let y(i) = 2*i**2 + 71*i - 82. Suppose 0 = 102*m - 110*m + 24. Let k(v) = -2*v**2 - 72*v + 80. Let j(t) = m*k(t) + 2*y(t). Factor j(z).
-2*(z - 1)*(z + 38)
Let p(s) be the second derivative of -5*s**3 + 10*s**2 - 5/12*s**4 + 3/8*s**5 - 14*s + 2. Factor p(o).
5*(o - 2)*(o + 2)*(3*o - 2)/2
Let d = -123076/11 + 11181. Let r = 863/22 + d. Suppose 3/2*y**4 + 0 - 12*y**3 - 27*y + r*y**2 = 0. What is y?
0, 2, 3
Factor 466*m + 22*m**2 + 7452 + 88*m**2 - 970*m - 1062*m - 171*m - m**3.
-(m - 92)*(m - 9)**2
What is i in 0*i + 6/13*i**4 + 0 + 560/13*i**2 + 844/13*i**3 = 0?
-140, -2/3, 0
Let h(g) be the first derivative of g**3/4 - 11*g**2/8 + 3*g/2 - 946. Factor h(c).
(c - 3)*(3*c - 2)/4
Let j(a) be the first derivative of 3*a**7/70 + a**6/40 - 9*a**5/20 + 3*a**4/8 + a**3 - 57*a**2/2 + 53. Let z(r) be the second derivative of j(r). Factor z(x).
3*(x - 1)**2*(x + 2)*(3*x + 1)
Let x(f) be the third derivative of f**5/60 - 5*f**4/8 + 29*f**3/6 + 4*f**2. Let i be x(13). Factor 30*l - 20*l**2 - 10 + 4*l**3 + 3*l**i - 5*l - 2*l**3.
5*(l - 2)*(l - 1)**2
Factor 4*m**3 - 61*m - 64*m**2 + 55 - 44 + 41 - 5*m**3 + 74.
-(m - 1)*(m + 2)*(m + 63)
Let b(x) = -x**2 - 13*x + 32. Let z be (-76)/4 + 2 + 2. Let o be b(z). Factor -v**4 + v**3 + 5*v + 5*v**3 + o*v + 5*v - 13*v**2 - 4.
-(v - 2)**2*(v - 1)**2
Suppose -12*p = -7*p + 30. Let n(c) = c**3 + 6*c**2 + c + 9. Let z be n(p). Suppose 2*u**z - 3*u**2 - 190*u + 7*u**2 + 192*u = 0. Calculate u.
-1, 0
Let d(u) be the third derivative of u**7/504 + 7*u**6/18 + 98*u**5/3 + 119*u**4/24 + u**2 - 9*u. Let y(l) be the second derivative of d(l). Factor y(z).
5*(z + 28)**2
Let o = 150 - 150. Let q(s) be the second derivative of -1/14*s**7 - 1/5*s**6 + o*s**3 + 0*s**4 + 0 - 2*s + 0*s**2 - 3/20*s**5. What is l in q(l) = 0?
-1, 0
Suppose -174*f + 66 = -172*f - 4*o, -3*f = o + 13. Suppose 1/3*v**3 - 5/3*v + 1/3*v**2 + f = 0. Calculate v.
-3, 1
Let v(k) be the second derivative of -2*k**6/45 + 11*k**5/15 - 2*k**4 + 538*k + 2. Solve v(x) = 0.
0, 2, 9
Let t(s) = -7*s**4 + 73*s**3 - 112*s**2 - 300*s + 522. Let n(h) = -15*h**4 + 145*h**3 - 225*h**2 - 600*h + 1045. Let w(c) = -2*n(c) + 5*t(c). Factor w(q).
-5*(q - 13)*(q - 2)**2*(q + 2)
Let x be ((-288)/(-1350))/(3/30) - 16/120. Factor -1024/5 - 128/5*n - 4/5*n**x.
-4*(n + 16)**2/5
Solve -3627*p + 754*p + 552*p - 2581*p + 2*p**2 = 0.
0, 2451
Let j(f) = 4*f**3 - 2072*f**2 - 2076*f + 6. Let b(q) = 4*q**3 - 2074*q**2 - 2078*q + 9. Let k(p) = -2*b(p) + 3*j(p). Factor k(r).
4*r*(r - 518)*(r + 1)
Factor -2/11*r**2 - 1064/11 + 94/11*r.
-2*(r - 28)*(r - 19)/11
What is w in 35*w**5 - 9*w**3 - 711*w**3 - 17074*w + 185*w**4 + 17234*w + 340*w**2 = 0?
-8, -2/7, 0, 1, 2
Let p(b) = 6*b**3 - 36