5*q. Factor j(z).
3*(z + 181)**2
Let y(q) be the first derivative of q**6/960 + 3*q**5/160 - 7*q**4/64 + 16*q**3/3 + q + 56. Let j(l) be the third derivative of y(l). Let j(k) = 0. What is k?
-7, 1
Let k(g) = -8*g**3 + 2443*g**2 - 1978025*g + 535387370. Let t(v) = -v**3 + v**2 + v + 6. Let x(m) = 2*k(m) - 14*t(m). Find y, given that x(y) = 0.
812
Let q(j) be the second derivative of j**4/6 - 22*j**3/3 + 40*j**2 + 351*j - 1. Factor q(x).
2*(x - 20)*(x - 2)
Let c(r) be the third derivative of -r**5/480 + 953*r**4/192 - 317*r**3/8 + 5821*r**2. Factor c(z).
-(z - 951)*(z - 2)/8
Let c = -113339/30 - -3778. Let t(w) be the first derivative of -4/3*w**3 + 0*w + 41 + 3*w**2 - c*w**5 - 11/24*w**4. Factor t(a).
-a*(a - 1)*(a + 6)**2/6
Let u(l) = l**4 - l**3 + l**2 + 2*l + 1. Let z(w) = 3*w**4 + 84*w**3 + 1935*w**2 + 3616*w + 1766. Let s(r) = -4*u(r) + 2*z(r). Factor s(q).
2*(q + 1)**2*(q + 42)**2
Let u(i) be the third derivative of -6*i**7/245 + 7*i**6/30 - 17*i**5/35 - 15*i**4/14 + 3290*i**2. Factor u(c).
-4*c*(c - 3)**2*(9*c + 5)/7
Let t be (-5 - -5) + -2 + 16. Let y be ((-1691)/801 - 4/(-9))/((-5)/12). Determine j so that -4 - 4*j**y + 25/2*j**3 + t*j + 1/2*j**5 - 19*j**2 = 0.
1, 2
Suppose 5 - 20*c**4 + 87*c**2 - 5 + 117*c**3 + 53*c**4 + 15*c + 5*c**5 - 17*c**5 = 0. What is c?
-1, -1/4, 0, 5
Let c be (440/(-550) - ((-16)/20 - 1))*0. Let f be (1/1)/(1/3). Let c + 3/7*g**2 - 3/7*g**f + 0*g = 0. Calculate g.
0, 1
Suppose -12*o - 2593 = 4*b - 13*o, -1297 = 2*b - o. Let q = b - -650. Determine z, given that -144/5*z + 27/5 + 192/5*z**q = 0.
3/8
Let 65/6*i**2 - 1/6*i**3 + 0*i + 0 = 0. What is i?
0, 65
Factor 167*u + 233*u**2 - 84 + 47*u + 3752*u**3 + 51*u**2 - 3766*u**3.
-2*(u - 21)*(u + 1)*(7*u - 2)
Let o = -510 + 522. Let b be o/(-270)*6*3 - -1. Factor -b*p**2 + 1/10*p**5 + 0*p + 0 - 2/5*p**4 + 1/2*p**3.
p**2*(p - 2)*(p - 1)**2/10
Determine m so that -88 + 136 - 11*m**3 - 2*m**4 - 76*m + 7*m**4 + 44*m**2 - 4*m**4 = 0.
2, 3, 4
Let a(h) be the third derivative of 0*h + 0*h**3 + 0 + 9/448*h**8 + 34*h**2 - 31/20*h**5 + 69/140*h**7 - 15/8*h**4 + 37/160*h**6. Let a(w) = 0. What is w?
-15, -2/3, 0, 1
Find s such that -201/4*s**3 + 0 + 51*s + 27*s**4 - 3/4*s**5 - 27*s**2 = 0.
-1, 0, 1, 2, 34
Let d(y) = -7*y**2 + 693*y + 1418. Let r be d(-2). Solve -75*w**2 + 231/2*w**3 + 0 + 0*w - 9/2*w**r = 0.
0, 2/3, 25
Let h(c) be the third derivative of 0 + 4*c - 5/8*c**4 + 6*c**3 - 1/30*c**5 + 1/120*c**6 - 2*c**2. Suppose h(r) = 0. What is r?
-4, 3
Let g = 845182/3 - 281727. Factor 10/3 + g*d**2 + 11/3*d.
(d + 1)*(d + 10)/3
Determine v, given that -50/13*v**2 - 448/13*v + 18/13 = 0.
-9, 1/25
Let f(w) = -3*w**3 + 4*w**2 - 3*w - 7. Let u be f(-1). What is t in -16/3*t - 2/3*t**u + 8/3 + 10/3*t**2 = 0?
1, 2
Let n(p) be the third derivative of -p**7/630 + p**6/360 + 11*p**5/45 - 7*p**4/6 + 774*p**2. Solve n(a) = 0.
-7, 0, 2, 6
Let d(h) be the first derivative of 2*h + 1/9*h**3 - 5/6*h**2 - 1. Factor d(y).
(y - 3)*(y - 2)/3
Let o(a) be the third derivative of 0*a + 1/20*a**5 - 1/210*a**7 + 0*a**3 - 1/12*a**4 + 3*a**2 + 0*a**6 - 6. Factor o(b).
-b*(b - 1)**2*(b + 2)
Let 24*r**2 - 32*r + 7038239*r**3 - 100*r**4 - 7038023*r**3 - 8*r**2 - 100*r**5 = 0. Calculate r.
-2, -2/5, 0, 2/5, 1
Suppose -6*o - 2*r + 12 = 0, -63*o - 4 = -65*o - r. Factor 1/4*n**o - 5/4*n + 1.
(n - 4)*(n - 1)/4
Let d be (-40)/((2/(-6))/((8 - 5)/18)). Suppose -15/2*n**3 + 65/2*n**2 - 5*n - d = 0. Calculate n.
-2/3, 1, 4
Factor 2/7*k**4 + 1224/7*k + 578/7 + 72/7*k**3 + 716/7*k**2.
2*(k + 1)**2*(k + 17)**2/7
Let j(c) = -122*c**2 - 64*c + 330. Let v(h) = 4*h**2 - 2*h + 2. Let a(p) = 2*j(p) + 60*v(p). Factor a(y).
-4*(y - 3)*(y + 65)
Let b(g) be the second derivative of -g**7/210 + 4*g**6/75 + 13*g**5/100 - 8*g**4/15 - 6*g**3/5 + g + 2856. Suppose b(j) = 0. What is j?
-2, -1, 0, 2, 9
Let h(s) be the second derivative of s**6/144 + 17*s**5/240 + s**4/8 - s**3/2 - 5*s**2/2 + 17*s. Let p(o) be the second derivative of h(o). Factor p(y).
(y + 3)*(5*y + 2)/2
Let g(m) be the first derivative of m**5/25 - 2*m**4/5 - 58*m**3/5 - 64*m**2 - 95*m - 2185. Factor g(i).
(i - 19)*(i + 1)*(i + 5)**2/5
Let o(w) be the second derivative of 5*w**4/12 - 3430*w**3/3 + 1176490*w**2 + 3*w - 50. What is i in o(i) = 0?
686
Let 2300/3 + 5/3*v**2 - 2305/3*v = 0. What is v?
1, 460
Let o be 4/20*(45 - -8) + (-60)/6. Factor -1/2*y + 1/5*y**2 - 3/10 - 1/10*y**5 + 1/10*y**4 + o*y**3.
-(y - 3)*(y - 1)*(y + 1)**3/10
Suppose 0 = -n - 5*b + 25, 2*b = -n + 4*b - 3. Suppose 28*z**3 - n - 80*z**2 - 4*z**5 + 7*z**3 - 11 + 60*z + 5*z**3 = 0. What is z?
-4, 1
Let c be 2664/91 + -29 - 6/(-39). Find b, given that -6/7*b + 6/7*b**3 + 0*b**2 + 3/7 - c*b**4 = 0.
-1, 1
Let y(u) = 2*u**2 - 2793*u + 2793. Let f be y(1). Factor 0 + 21/2*j + 3/2*j**3 + 12*j**f.
3*j*(j + 1)*(j + 7)/2
Let n(p) be the third derivative of p**8/168 + p**7/105 - 91*p**6/30 - 222*p**5/5 - 162*p**4 + 1152*p**3 + p**2 + 157*p. Determine r, given that n(r) = 0.
-6, 1, 16
Let p(i) be the second derivative of -i**7/504 + 13*i**6/144 + 5*i**5/4 + 3*i**4/4 - 2*i + 17. Let q(g) be the third derivative of p(g). Factor q(w).
-5*(w - 15)*(w + 2)
Let y be ((-47)/42 - (-122)/427)*10/((-40)/6). Suppose y*m**2 + 405 + 45*m = 0. What is m?
-18
Let f = -1123 + 2140. What is b in 183 + 33*b**2 - 3*b**3 - 1320*b + 90*b**2 + f = 0?
1, 20
Let m(d) be the third derivative of -d**4/12 - 25*d**3/6 + 9*d**2. Let c be m(-15). Solve -p**c + 12*p**2 + 4*p - p**5 - 22*p**2 + p**3 + 2*p**4 + 5*p**3 = 0.
-2, 0, 1
Let c = 1297 + -1299. Let b be 4*((-12)/27)/c. Factor -b + 2/9*g**3 + 0*g + 2/3*g**2.
2*(g - 1)*(g + 2)**2/9
Factor -3*n**2 - 82*n + 8*n**2 - 1425 - 48*n + 150*n.
5*(n - 15)*(n + 19)
Let g = -1478 + 1688. Let f be (-24)/(-9) - (-70)/g. Solve -2/3*h**f + 2*h**4 - 14/3*h**2 + 2/3*h**5 + 8/3 + 0*h = 0 for h.
-2, -1, 1
Let d = 3022544/3 - 1007512. What is i in 4/3*i**3 - 16/3*i - 2/3*i**4 + d*i**2 + 0 = 0?
-2, 0, 2
Find x, given that 2/13*x**3 + 62/13*x - 30/13 - 34/13*x**2 = 0.
1, 15
Let w(f) be the second derivative of -147/5*f**5 + 3*f + 11 - 17294403/2*f**2 - 7203/2*f**4 - 235298*f**3 - 1/10*f**6. Solve w(p) = 0.
-49
Let j(s) = -645*s + 21. Let n be j(1). Let k be ((-1)/(-2))/((-390)/n). Let -14/5*r + 14/5*r**2 - 4/5*r**3 + k = 0. What is r?
1/2, 1, 2
Let 1/3*b**3 + 4 + 25/3*b + 14/3*b**2 = 0. Calculate b.
-12, -1
Let s(m) be the second derivative of -m**6/360 - m**5/30 + 5*m**4/24 - m**3/2 - m**2/2 - 10*m + 2. Let g(n) be the second derivative of s(n). Factor g(f).
-(f - 1)*(f + 5)
Let j(x) be the second derivative of x**7/840 - x**6/360 + 19*x**3/2 + 9*x - 3. Let b(w) be the second derivative of j(w). Factor b(g).
g**2*(g - 1)
Factor 1/6*w**3 + 3/2*w**2 + w - 28/3.
(w - 2)*(w + 4)*(w + 7)/6
Let u(w) = 4*w**3 - 9*w**2 - 21*w - 17. Let c(p) = 2*p**3 - 4*p**2 - 10*p - 8. Suppose 0*d = d - 54. Let k = -45 + d. Let y(i) = k*c(i) - 4*u(i). Factor y(m).
2*(m - 2)*(m + 1)**2
Let v(m) be the first derivative of -m**3/3 + 7*m**2 + 680*m + 1513. Factor v(o).
-(o - 34)*(o + 20)
Let j(k) be the third derivative of k**6/30 + 7*k**5/5 - k**4/6 - 14*k**3 + 116*k**2 - 10*k. Factor j(n).
4*(n - 1)*(n + 1)*(n + 21)
Find o, given that -195 - 20*o + 42*o + 29*o + 78 - 2*o**2 + 30*o = 0.
3/2, 39
Suppose 0 = -4*z - 2*c - 19 + 25, 5*z = -c + 12. Factor -z*w**5 - 5/3*w**3 + 2/3*w**2 + 0*w - 16/3*w**4 + 0.
-w**2*(w + 1)**2*(9*w - 2)/3
Let v(f) be the first derivative of -14/3*f**6 - 6*f**4 + 16*f**2 + 92/5*f**5 + 0*f - 63 - 112/3*f**3. Determine r so that v(r) = 0.
-1, 0, 2/7, 2
Let w(o) be the first derivative of -o**5 - 275*o**4/4 - 1305*o**3 - 3645*o**2/2 - 519. Factor w(t).
-5*t*(t + 1)*(t + 27)**2
Factor -84*q**2 + 3/2*q**4 - 165/2*q**3 + 0*q + 0.
3*q**2*(q - 56)*(q + 1)/2
Find g such that -45 - 3*g**2 + 2*g**2 - 169 - 65691*g + 65582*g = 0.
-107, -2
Factor -701563*k + 705763*k - 3229 - 975 + 4*k**2.
4*(k - 1)*(k + 1051)
Let y(d) = 5*d**2 - 11*d - 27. Let g(s) = s**2 + s + 3. Let x(j) = -6*g(j) + 2*y(j). Let x(o) = 0. What is o?
-2, 9
Let r = -485162 - -485164. Factor -1472/3*i - 512/3 - r*i**3 + 190/3*i**2.
-2*(i - 16)**2*(3*i + 1)/3
Suppose 7*c - 48 = 5*c - 3*i, 3*i - 75 = -3*c. Solve -3 - 3 + c*b - 52*b**2 + 40*b**2 = 0 for b.
1/4, 2
Let v = -988 + 995. Let a(d) be the third derivative of 0*d**6 + 0 + 0*d + 0*d**3 - 2/105*d