0 + 87*q**4/2 - 349*q**3/2 - 58*q**2 - 11. Factor o(x).
3*(x - 1)*(x + 349)
Let o(n) be the third derivative of n**6/40 - 59*n**5/20 + 111*n**4/8 + 171*n**3/2 + 85*n**2 - 2. Factor o(a).
3*(a - 57)*(a - 3)*(a + 1)
Let d(i) be the second derivative of -i**9/60480 + i**7/2520 - 5*i**4/2 - 39*i. Let t(g) be the third derivative of d(g). Factor t(s).
-s**2*(s - 2)*(s + 2)/4
Let w = -311/4 - -148961/1916. Let c = 3818/3353 - w. Solve c*a + 2/21*a**2 + 24/7 = 0.
-6
Factor 8191 + 8155 - 16526 + u**2 - 179*u.
(u - 180)*(u + 1)
Let b(r) be the first derivative of -2*r**5/35 - 2*r**4 - 130*r**3/7 + 7885. Factor b(m).
-2*m**2*(m + 13)*(m + 15)/7
Let f(t) be the second derivative of t**8/23520 + t**7/1260 + 11*t**6/2520 + t**5/84 + 63*t**4/4 + 86*t. Let y(p) be the third derivative of f(p). Factor y(d).
2*(d + 1)**2*(d + 5)/7
Let f(w) be the third derivative of -w**5/15 + 203*w**4/6 - 268*w**3 + 1206*w**2. Factor f(v).
-4*(v - 201)*(v - 2)
Let u(d) be the first derivative of -4*d**5/35 + 47*d**4/42 - 128*d**3/63 - 4*d**2/7 - 681. Let u(p) = 0. What is p?
-1/6, 0, 2, 6
Let h(o) = 28*o**2 - 108*o + 192. Let s(f) = -9*f**2 + 36*f - 65. Let g(p) = -5*h(p) - 16*s(p). Factor g(r).
4*(r - 5)*(r - 4)
Let w(h) = -h**2 + 20*h. Let i(j) = -j**2. Suppose -6*r + 17*r = -11. Let k(a) = r*w(a) + 5*i(a). Suppose k(f) = 0. What is f?
-5, 0
Let c(j) = j**3 + 34*j**2 - j - 30. Let h = -52 + 18. Let p be c(h). Suppose -3/7*a**p + 3/7*a + 9/7*a**3 + 0 - 9/7*a**2 = 0. Calculate a.
0, 1
Let v(n) be the first derivative of -n**3/33 + 2*n**2 - 84*n/11 + 1553. Factor v(z).
-(z - 42)*(z - 2)/11
Let q = -681 + 1811. Let w be q/(-2 + 0)*-1. Factor -z**2 + 516 + 12*z + 2*z - w.
-(z - 7)**2
Let x(n) = 5*n**2 - 926*n - 376. Let l(m) = 20*m**2 - 3698*m - 1504. Let i(w) = -2*l(w) + 9*x(w). Let i(p) = 0. Calculate p.
-2/5, 188
Determine j, given that 338/3*j + 680/3 - 1/3*j**2 = 0.
-2, 340
Let i(p) be the first derivative of 2/5*p**5 - 4*p**3 + 11/4*p**4 + 0*p + 169 - 1/6*p**6 + 0*p**2. Find o, given that i(o) = 0.
-3, 0, 1, 4
Let z(n) be the second derivative of 5*n**7/7 + 2798*n**6/105 + 12259*n**5/35 + 11268*n**4/7 - 8829*n**3/7 + 1458*n**2/7 - 724*n + 2. Find y such that z(y) = 0.
-9, 1/15, 2/7
Let i(s) = -10*s + s + 2*s + 1 + 6*s. Let q be i(-2). Factor -16 - 16 + 4*g**5 - 16*g - 16*g**4 + 4*g**q - 296*g**2 + 336*g**2.
4*(g - 2)**3*(g + 1)**2
Let h = 115457/2 + -57726. Solve -15/4*j + 65/4*j**3 + h*j**5 - 5/2 + 45/4*j**4 + 25/4*j**2 = 0 for j.
-2, -1, 1/2
Let n(c) be the first derivative of 9*c**5/4 - 5*c**4/2 + 5*c**3/6 - 14*c + 6. Let q(i) be the first derivative of n(i). Find s, given that q(s) = 0.
0, 1/3
Find n, given that -636/5*n**3 + 0*n**2 - 632/5*n**4 + 0*n + 0 + 4/5*n**5 = 0.
-1, 0, 159
Let w(d) = -4*d**2 + 1090*d - 1100. Let b(l) = l**2 + 5*l + 1. Let s(j) = -2*b(j) - w(j). Suppose s(h) = 0. Calculate h.
1, 549
Factor -100/3*r**2 - 1/3*r**4 - 48 + 68*r + 19/3*r**3.
-(r - 12)*(r - 3)*(r - 2)**2/3
Suppose -1019*q + 1015*q = -52. Suppose q*g - 36 = 4*g. Suppose -2/9 - 1/9*k**3 - 1/9*k + 2/3*k**2 - 2/9*k**g = 0. What is k?
-2, -1/2, 1
Let a be (2680/(-2345))/(5/(105/(-36))). Factor -a*q**3 + 4*q**2 + 0 + 14/3*q.
-2*q*(q - 7)*(q + 1)/3
Let i(l) be the first derivative of -l**4/32 - 29*l**3/24 + 8*l**2 - 33*l/2 + 1171. Suppose i(d) = 0. What is d?
-33, 2
Let x(m) be the first derivative of -500*m - m**5 - 550*m**2 - 235*m**3 + 68 - 55/2*m**4. Factor x(o).
-5*(o + 1)**2*(o + 10)**2
Let g be (-21)/56*(-28070)/21. Let a = g + -500. Suppose -a*k - 1/4*k**3 - k**2 - 1/2 = 0. What is k?
-2, -1
Let w(c) be the second derivative of 3*c**5 - 225/2*c**2 - 1/6*c**6 + 2 - 125/6*c**4 + 7*c + 70*c**3. Factor w(g).
-5*(g - 5)*(g - 3)**2*(g - 1)
Let y(n) = 8*n**5 + 2*n**4 - 10*n**3 - 6*n**2 + 6*n. Let x(g) = 23*g**5 + 5*g**4 - 31*g**3 - 17*g**2 + 17*g. Let c(i) = 6*x(i) - 17*y(i). Factor c(o).
2*o**3*(o - 4)*(o + 2)
Find f, given that 27300*f**4 - 24*f**5 + 23*f**5 - 27567*f**4 - 266*f**3 = 0.
-266, -1, 0
Suppose -944 - 268*a**2 + 2*a**3 + 15558*a - 14510*a - 96 = 0. What is a?
2, 130
Factor -3/5*t + 3/5*t**3 + 0 + 3/5*t**4 - 3/5*t**2.
3*t*(t - 1)*(t + 1)**2/5
Let v(d) be the third derivative of d**8/588 - 152*d**7/245 + 6383*d**6/105 + 1748*d**5/7 + 13225*d**4/42 - 3227*d**2. Determine b so that v(b) = 0.
-1, 0, 115
Determine r, given that -8/9*r**3 + 110/9*r + 28/9 + 104/9*r**2 = 0.
-1/2, 14
Suppose -5*x**2 - 578500 - 3579*x - 1389*x - 1462*x - 577350 - 911395 = 0. Calculate x.
-643
Let r be (-2*3/5)/((-3)/20). Factor -4*a**3 + 7*a**4 + 0*a**4 - 3*a**4 - r*a**2.
4*a**2*(a - 2)*(a + 1)
Determine c so that -207*c**3 + 698*c**2 - 4*c**5 + 1092*c**2 - 233*c**3 - 2750 + 9*c**5 - 525*c = 0.
-11, -1, 2, 5
Let v(n) be the third derivative of -n**5/240 + 503*n**4/96 + 49*n**2 - 4. Find h such that v(h) = 0.
0, 503
Let s(o) be the third derivative of 0*o - 89*o**2 - 23/30*o**5 + 143/12*o**4 - 121/3*o**3 + 0 + 1/60*o**6. Suppose s(g) = 0. What is g?
1, 11
Let x(z) be the second derivative of -z**5/360 - 5*z**4/144 - z**3/6 - 213*z**2/2 + 7*z. Let j(d) be the first derivative of x(d). Factor j(y).
-(y + 2)*(y + 3)/6
Let g be 156/(-24) + 14 - 6. Let 0*d - g*d**2 + 0 + 9/2*d**4 + 3*d**3 = 0. What is d?
-1, 0, 1/3
Let z(b) be the third derivative of -b**8/840 + 4*b**7/525 + b**6/50 - 8*b**5/75 - 29*b**4/60 - 4*b**3/5 - 2019*b**2. Solve z(i) = 0 for i.
-1, 3, 4
Let r = 12119/24 + -2019/4. Let a(y) be the third derivative of -25/3*y**3 + 0 - r*y**4 + 1/4*y**5 + 28*y**2 + 0*y. Factor a(v).
5*(v - 2)*(3*v + 5)
Let d(s) = s**3 + 32*s**2 + 86*s + 11. Let y be d(-29). Suppose -18*z**2 + 10*z**2 - y*z - 36 + 4*z**2 = 0. What is z?
-9, -1
Solve -45*t**5 + 171*t**2 + 276*t**3 - 357/2*t**4 - 231*t + 15/2 = 0.
-5, -1, 1/30, 1
Let f(l) = -6*l**4 - 9*l**3 + 6*l + 3. Let s(c) = -27*c - 7 + 31*c + 8. Let g be s(-1). Let a(k) = k**4 + k**3. Let h(x) = g*a(x) - f(x). Factor h(q).
3*(q - 1)*(q + 1)**3
Let k(m) be the second derivative of -1/60*m**5 + 0*m**2 + 0*m**4 - 39*m + 0*m**3 + 1 - 1/180*m**6. Determine j, given that k(j) = 0.
-2, 0
Suppose -261*j = -231*j. Let q(d) be the first derivative of 1/5*d**5 - 9 + 1/4*d**4 + j*d + 1/9*d**3 + 1/18*d**6 + 0*d**2. Factor q(s).
s**2*(s + 1)**3/3
Let f(c) = -6*c**2 - 68*c - 2. Let l(r) = 23 + 0*r - r - 4*r**2 - 4*r - 24 + 6*r. Let h(k) = f(k) - 2*l(k). Let h(s) = 0. Calculate s.
0, 35
Let v(u) be the second derivative of u**6/50 - 3*u**5/5 + 7*u**4/10 + 46*u**3/5 + 171*u**2/10 - 10*u. Suppose v(j) = 0. Calculate j.
-1, 3, 19
Let p(a) be the second derivative of -a**5/10 - 101*a**4/84 - 23*a**3/6 - 15*a**2/7 + 1436*a. Let p(d) = 0. What is d?
-5, -2, -3/14
Let 612/7 + 3/7*o**2 - 120/7*o = 0. Calculate o.
6, 34
Suppose -429 + 304 = -25*q. Let y(w) be the second derivative of -1/12*w**4 + 12*w - 1/3*w**3 + 0*w**2 + 0 + 1/20*w**q. Solve y(p) = 0 for p.
-1, 0, 2
Let f = -69502/13 - -487346/91. Determine k, given that -8*k - f + 2/7*k**3 - 8/7*k**2 = 0.
-2, 8
Let d(l) = 43*l + 324. Let i be d(-8). Let b be 6/i*212/(-159). Suppose 6/5*s - 4/5 + 2/5*s**2 + b*s**4 - 6/5*s**3 = 0. What is s?
-1, 1, 2
Suppose -3*n + 4*v = 33, -n - 22 = 2*v - 7*v. Let y = n - -17. Factor 8*r**5 + y*r**4 + 28*r + 10*r**3 + 34*r**4 + 0 + 4 + 76*r**3 + 73*r**2.
(r + 2)**2*(2*r + 1)**3
Suppose -4*r = -5*a + 37, -3*r - 4 = 5. Let v = a + -3. Factor f**3 - 4*f**3 - v*f**3.
-5*f**3
Let r(i) be the third derivative of i**7/1890 + i**6/108 + 2*i**5/45 + 7*i**4/4 + 12*i**2 + 5*i. Let b(c) be the second derivative of r(c). Factor b(m).
4*(m + 1)*(m + 4)/3
Let s = -7085 + 7085. Let x(t) be the second derivative of 48*t + 24*t**2 + 1/3*t**4 + s + 16/3*t**3. Factor x(c).
4*(c + 2)*(c + 6)
Let o(i) be the third derivative of -1/12*i**5 + 0*i**3 + 0*i + 0*i**4 - 1/1050*i**7 - 160*i**2 + 0 - 1/60*i**6. Factor o(j).
-j**2*(j + 5)**2/5
Let j(p) be the second derivative of p**4/21 + 392*p**3/3 + 134456*p**2 + 26*p - 24. Determine t, given that j(t) = 0.
-686
Solve -179/2*k**2 - 1/6*k**3 - 32041/2*k - 5735339/6 = 0 for k.
-179
Let j(s) be the first derivative of -s**5/5 + s**4 + 2*s**3/3 - 6*s**2 + 68*s + 71. Let u(c) be the first derivative of j(c). Factor u(a).
-4*(a - 3)*(a - 1)*(a + 1)
Suppose 259*x - 160*x - 297 = 0. Let -4/5*a + 0 - 2/5*a**4 - 12/5*a**2 - 9/5*a**x = 0. What is a?
-2, -1/2, 0
Let r be (-19)/(-1) - 17236/