vative of s**8/56 - s**7/15 - s**6/5 + 16*s**5/15 - 16*s**3/3 - 2*s**2 + 68*s. Let p(x) = 0. What is x?
-2, -2/3, 1, 2
Let o(b) be the second derivative of b**4/4 + 337*b**3 + 340707*b**2/2 + 497*b + 2. Factor o(m).
3*(m + 337)**2
Let y = -541 + 324. Let z = -77 - y. Suppose 265*r**3 + 16 + z*r - 54*r**2 + 4 + 223*r**2 + 70*r**4 + 146*r**2 = 0. What is r?
-2, -1, -1/2, -2/7
Let z be 4/20 + (-11)/((-19305)/(-576)). Let w = 191/273 + z. Factor -w*y - 4/7*y**2 + 8/7.
-4*(y - 1)*(y + 2)/7
Let j(x) = -1713*x**2 + 4*x + 1. Let o be j(1). Let l be o/(-308) - 30/55. Suppose -4/3*i**3 + 2/3*i**l - 4/3 - 4/3*i**4 + 2/3*i + 8/3*i**2 = 0. What is i?
-1, 1, 2
Let j be (1 - (-22)/3)/((-41)/(-8241)). Let d = 3353/2 - j. Determine c, given that 1/2*c**3 + 0 + 2*c**2 + d*c = 0.
-3, -1, 0
Let p(i) be the first derivative of 2/3*i + 0*i**4 + 2/15*i**5 + 87 + 0*i**2 - 4/9*i**3. Factor p(b).
2*(b - 1)**2*(b + 1)**2/3
Suppose -8*l + 13*l - 15 = 0. Factor -10*h**l - 20*h**2 + 25 + 28*h - 9 - 19*h**2 + 5*h**2.
-2*(h - 1)*(h + 4)*(5*h + 2)
Determine u, given that 10/19*u**4 - 84/19*u**3 + 0 + 2/19*u**5 + 8*u**2 - 80/19*u = 0.
-10, 0, 1, 2
Let j = 5605/2 + -2551. Let n = j + -244. Factor 0 + 6*v**2 + n*v - 3/2*v**3.
-3*v*(v - 5)*(v + 1)/2
Let y(b) = -4*b**2 - 52*b - 150. Let z be y(-3). Let m be (28/(-4) - 8)*6/z. Find a such that 0 + 32/3*a**2 - 4/3*a**m - 28/3*a = 0.
0, 1, 7
Let o(j) be the third derivative of j**6/32 - 1231*j**5/48 - 4115*j**4/96 + 685*j**3/8 + 82*j**2. Determine w, given that o(w) = 0.
-1, 1/3, 411
Let v(r) = 6*r**3 + 16*r**2 - 46*r. Let h = 21 + -24. Let f(n) = -2*n**3 - 5*n**2 + 15*n. Let j(s) = h*v(s) - 10*f(s). Let j(w) = 0. Calculate w.
-3, 0, 2
Let m(y) be the third derivative of -5*y**6/48 + 11*y**5/8 - 175*y**4/24 + 20*y**3 + 3*y**2 - y + 14. Factor m(l).
-5*(l - 3)*(l - 2)*(5*l - 8)/2
Let h(a) be the third derivative of -a**6/720 + 11*a**5/360 + a**4/9 - 80*a**3/9 - 4*a**2 + a - 295. Factor h(q).
-(q - 8)**2*(q + 5)/6
Let o = 0 - -2. Let b = -242 - -247. Determine m so that o*m**b + 74*m**4 + 2*m**2 - 68*m**4 + 3*m**3 + 3*m**3 = 0.
-1, 0
Let x(d) be the first derivative of d**4 - 576*d - 24*d**2 + 121 + 32/3*d**3. Factor x(y).
4*(y - 4)*(y + 6)**2
Factor 8384 - 179116*k**2 + 185452*k**2 + 1044*k**3 + 12720*k + 112 - 3*k**4.
-3*(k - 354)*(k + 2)**3
Factor -32*i**2 - 5*i**3 + 49*i**2 - 40*i + 20 + 8*i**2.
-5*(i - 2)**2*(i - 1)
Let c(o) be the first derivative of -o**6/48 + 9*o**5/40 - 23*o**4/32 + 5*o**3/8 + 938. Solve c(z) = 0 for z.
0, 1, 3, 5
Let g(l) be the third derivative of -l**5/110 + 123*l**4/22 - 1576*l**2. Find n, given that g(n) = 0.
0, 246
Let b(o) = -7*o**4 + 8*o**3 - 7*o**2 - 3. Let f(r) = 8*r**4 - 8*r**3 + 8*r**2 + 4. Let g = 17 - 21. Let c(j) = g*b(j) - 3*f(j). Factor c(i).
4*i**2*(i - 1)**2
Let t be 1*((-212)/(-24) - 3) + (-49)/(-7). Let p(n) be the first derivative of 12 + t*n**3 + 8*n**2 + 49/8*n**4 + 2*n. Solve p(q) = 0.
-1, -2/7
Let a(d) be the second derivative of d**7/14 - 13*d**6/10 + 9*d**5/2 + d**4 - 20*d**3 + 2248*d. Suppose a(c) = 0. What is c?
-1, 0, 2, 10
Let m(z) = -12*z**2 - 189*z - 5313. Let a(y) = -5*y**2 - 7. Let f(c) = -3*a(c) + m(c). Determine k so that f(k) = 0.
-21, 84
Let n(y) be the third derivative of y**5/80 - 71*y**4/16 + 5041*y**3/8 + 776*y**2. Find j, given that n(j) = 0.
71
Suppose 194*m = -14*m + 1248. Let a(s) be the third derivative of 0*s - 2*s**3 - m*s**2 - 2/3*s**4 + 0 - 1/15*s**5. Factor a(y).
-4*(y + 1)*(y + 3)
Suppose 15 = 2*g + 5. Suppose 0*u + u = -3*z + 58, 2*u - g*z = 138. Solve u + 37 + 144 - 70*n + 5*n**2 = 0 for n.
7
Let y(d) be the second derivative of 14*d**6/15 - 32*d**5/5 + 13*d**4/3 + 8*d**3 - 1436*d - 1. Factor y(u).
4*u*(u - 4)*(u - 1)*(7*u + 3)
Let m be 38 - ((-10 - -2) + -1). Suppose -10*p - 7 = -m. Determine b so that 98/5 - 126/5*b + 54/5*b**3 - 4/5*b**p - 166/5*b**2 = 0.
-1, 1/2, 7
Factor 49/4*k - 3/4*k**2 - 17/4*k**3 + 1/4*k**4 + 17/2.
(k - 17)*(k - 2)*(k + 1)**2/4
Suppose 58*q - 162 = 12. Let -3/5*x**4 - 63/5*x**2 + 66/5 - 69/5*x**q + 69/5*x = 0. Calculate x.
-22, -1, 1
Let w = -130413 - -130413. Let p = 28 - 83/3. Factor c**2 + 1/3*c**4 + c**3 + w + p*c.
c*(c + 1)**3/3
Let f(j) = 2*j**3 - 7*j**2 - 8*j + 15. Let l be f(4). Let o be 2 - l*(-4 - -5). Solve 2*k**o - 2/3*k**4 - 4/3*k**2 + 0*k + 0 = 0 for k.
0, 1, 2
Let n(y) be the first derivative of -y**3 - 588*y**2 - 115248*y + 332. Suppose n(i) = 0. What is i?
-196
Suppose -24726*x = -24718*x. Let l(g) be the first derivative of x*g + 3/7*g**4 + 9 - 8/7*g**2 - 16/21*g**3. Let l(s) = 0. What is s?
-2/3, 0, 2
Factor 6/11*c**4 + 180/11*c**3 + 7776/11 + 162*c**2 + 6480/11*c.
6*(c + 3)**2*(c + 12)**2/11
Suppose 0 = -3*v + 15*v - 1104. Suppose 28*x + 18*x = v. Factor 27/4*t + 3/4*t**3 - 9/2*t**x + 0.
3*t*(t - 3)**2/4
Let v(k) be the second derivative of -k**7/126 + 4*k**6/9 - 71*k**5/30 - 1352*k**4/9 - 10225*k**3/18 - 2500*k**2/3 - 11013*k. Let v(x) = 0. Calculate x.
-8, -1, 25
Let w(d) be the second derivative of -16*d**4 - 2*d + 125 - 131072*d**2 - 2048*d**3 - 1/20*d**5. Find s such that w(s) = 0.
-64
Let i(t) = t**3 + 5*t**2 - 8*t - 11. Let g be i(-6). Solve -23 + 36*z + g - 8*z**2 + 4*z**2 - 10 = 0.
1, 8
Let x = -623999/4 - -156000. What is m in -4*m**4 + 77/4*m - 41/2*m**2 - 19*m**3 + 49/2 - x*m**5 = 0?
-7, -2, -1, 1
Let n be 6/15*10725/(-2850) + 11 + 4/38. Factor -16/5*r + 4/5*r**2 - n.
4*(r - 6)*(r + 2)/5
Let x be 57/684*-9*(2 + (-150)/27). Suppose -x*d - 4/3*d**2 + 0 = 0. Calculate d.
-2, 0
Let f = 169 + -165. Factor 0 - 16*w - 1 - 4 + 4*w**2 - 11 + f*w**3.
4*(w - 2)*(w + 1)*(w + 2)
Let z(g) be the first derivative of g**5/4 - 55*g**4/12 + 65*g**3/3 - 40*g**2 + 16*g + 121. Let k(m) be the first derivative of z(m). Let k(d) = 0. Calculate d.
1, 2, 8
Let h(l) be the first derivative of l**7/4200 - l**6/300 + 3*l**5/200 - l**4/30 + 12*l**3 + 2*l - 247. Let a(f) be the third derivative of h(f). Factor a(k).
(k - 4)*(k - 1)**2/5
Let n(f) be the first derivative of 4*f**5/5 - 3*f**4 - 148*f**3/3 - 66*f**2 + 288*f - 1034. Factor n(o).
4*(o - 8)*(o - 1)*(o + 3)**2
Let n(i) = 19*i**2 + i + 3. Let v(g) = -96*g**2 + 9*g - 39. Let z(b) = -10*n(b) - 2*v(b). Factor z(x).
2*(x - 12)*(x - 2)
Suppose -5*f + 9 = -3*t, 31*f - 27*f - 12 = 0. Solve 1150*a**3 + 315/2*a**t + 1000*a**4 + 61/8*a + 1/8 = 0.
-1, -1/20
Let m(g) be the third derivative of -g**6/720 - 7*g**5/72 + 37*g**4/72 + 4987*g**2. Find s such that m(s) = 0.
-37, 0, 2
Let l(h) = h - 42. Let y be l(-23). Let w = y + 81. Factor 41*q**2 - 11*q**2 - 19*q**2 - w*q**2 - 10*q.
-5*q*(q + 2)
Let t(w) be the first derivative of -w**6/6 + 17*w**5/5 + 5*w**4 - 12*w**3 + 5287. Let t(f) = 0. Calculate f.
-2, 0, 1, 18
Solve -25*r**2 + r - 51/4*r**3 + 0 = 0 for r.
-2, 0, 2/51
Suppose 90*r - 161 = 83*r. Factor -17 + r - 38 + 4*o**2 - 28*o.
4*(o - 8)*(o + 1)
Factor -2/3*q**2 + 20/3 - 6*q.
-2*(q - 1)*(q + 10)/3
Let l be 0 - -54 - (-655360)/(-12288). Factor 26/3 + 17*y - l*y**2.
-(y - 26)*(2*y + 1)/3
Let y(b) be the first derivative of 27*b**4/5 + 1392*b**3/5 - 1401*b**2/10 + 117*b/5 - 3548. Solve y(j) = 0.
-39, 1/6
Let t(c) be the second derivative of 1/6*c**4 + 20*c**2 + 6*c + 0 + 7*c**3. Factor t(q).
2*(q + 1)*(q + 20)
Let z(c) be the second derivative of -92*c**4/3 - 2*c**3/3 + 4012*c. Factor z(u).
-4*u*(92*u + 1)
Determine v, given that -32*v + 824/13 + 2/13*v**2 = 0.
2, 206
Let k(h) be the second derivative of -1 - h**3 - 28*h - 1/6*h**4 + 28*h**2. Determine y so that k(y) = 0.
-7, 4
Let x(n) be the third derivative of -2*n**5 - 14/3*n**4 + 145*n**2 + 0 + 0*n + 0*n**3 - 1/105*n**7 - 3/10*n**6. Find w such that x(w) = 0.
-14, -2, 0
Factor 2/15*q**2 + 0 - 224/15*q.
2*q*(q - 112)/15
Let a = 12918799/17225076 + 2/4306269. Factor -21*t**3 + 0*t - a*t**5 + 0 + 15/2*t**4 + 18*t**2.
-3*t**2*(t - 6)*(t - 2)**2/4
Suppose -4*a + 50 = 2*j - 3*a, -3*a = 3*j - 69. Let q be ((-1)/2)/(6/(-516)). Factor -36 + 67 + j*u**2 + 48*u - q.
3*(u + 2)*(9*u - 2)
Factor 344*l**2 + 480*l**3 - 9520*l + 351*l**3 + 352*l**3 + 83232 - 1187*l**3.
-4*(l - 34)**2*(l - 18)
Let v(f) = 9*f**2 - 179*f + 2116. Let i(c) = 8*c**2 - 180*c + 2116. Let n(m) = -11*m - 7. Let b be n(-1). Let w(j) = b*v(j) - 5*i(j). Solve w(x) = 0.
23
Let j(l) be the third derivative of 0*l - 16/105*l**7 + 0*l**4 + 11 + 7/30*l**6 + 0*l**5 + 1/84