e of y**5/90 + 206*y**4/9 + 169744*y**3/9 + 448*y**2. Factor n(q).
2*(q + 412)**2/3
Let f(a) be the second derivative of -3*a**5/100 - 9*a**4/20 - 7*a**3/5 + 2068*a + 2. Suppose f(i) = 0. What is i?
-7, -2, 0
Let k be 17/((-680)/(-132)) - 1/20*6. Let q(x) be the first derivative of -10 - 24*x - k*x**4 + 117/2*x**2 - 27*x**3. Suppose q(s) = 0. What is s?
-8, 1/4, 1
Let n = -1228/14715 - -638/2943. Factor 0 + 12/5*i**2 + n*i**3 - 38/15*i.
2*i*(i - 1)*(i + 19)/15
Suppose -4*w - 6 = -6*w. Factor -2*d + 5*d**2 + 15*d**3 - 9 - 16*d**w + 1.
-(d - 4)*(d - 2)*(d + 1)
Let d(w) be the first derivative of -8*w - 50/3*w**3 - 1/3*w**6 + 93 - 16*w**2 - 14/5*w**5 - 19/2*w**4. Factor d(z).
-2*(z + 1)**3*(z + 2)**2
Let z(r) be the second derivative of r**4/6 - 13*r**3/3 - 30*r**2 + 4*r - 83. Factor z(m).
2*(m - 15)*(m + 2)
Let f = 2317 - 2314. Let n(x) be the second derivative of 5/6*x**3 + 5*x**2 + f*x + 0 - 5/12*x**4. Find t, given that n(t) = 0.
-1, 2
Suppose 5520 - 5516 = -y. Let s be 3/y*(8 - (-64)/(-6)). Suppose -27/4*l + 3/8*l**s + 243/8 = 0. Calculate l.
9
Let q(z) = -10*z**2 - 34*z. Let v(x) = 0*x**2 - 7*x - 5*x**2 - 24*x - 7*x**2 - 3*x. Let f(a) = -5*q(a) + 4*v(a). Suppose f(g) = 0. What is g?
-17, 0
Let u(r) = r**3 + 27*r**2 + 28*r - 56. Let n(g) = 27*g**2 + 30*g - 57. Let d be -4 + (7 - -1) - 8. Let i(k) = d*n(k) + 3*u(k). Factor i(l).
3*(l - 10)*(l - 1)*(l + 2)
Solve 10/7*t + 2/7*t**2 - 72/7 = 0.
-9, 4
Let i be -1*(0 + -19) - (-2825)/(-226). Factor -3/2*h**3 - 20/3*h - 2 - i*h**2.
-(h + 3)*(3*h + 2)**2/6
Let i(w) be the second derivative of w**4/54 + 682*w**3/27 + 116281*w**2/9 - 311*w. Factor i(u).
2*(u + 341)**2/9
Let k(z) be the third derivative of -z**6/900 - z**5/100 + z**4/15 - 79*z**3/6 + z**2 - 15. Let u(n) be the first derivative of k(n). Factor u(s).
-2*(s - 1)*(s + 4)/5
Let g(m) be the third derivative of 1/70*m**7 + 9/20*m**5 + 0*m + 0 + 41*m**2 - 1/8*m**6 - 7/8*m**4 + m**3. Factor g(t).
3*(t - 2)*(t - 1)**3
Determine l so that -213706 - 310*l + 213446 + 70*l + 85*l**2 + 60*l**3 - 5*l**4 = 0.
-2, -1, 2, 13
Find y such that -61*y - 7/2*y**4 + 11/4*y**3 + 28 - 1/4*y**5 + 34*y**2 = 0.
-14, -4, 1, 2
Let s(l) be the second derivative of 50*l**7/21 + 128*l**6/3 + 817*l**5/5 - 6518*l**4/15 + 5656*l**3/15 - 784*l**2/5 - 139*l + 3. Factor s(k).
4*(k + 7)**2*(5*k - 2)**3/5
Let w(r) be the second derivative of r**6/45 + 37*r**5/30 + 47*r**4/3 - 1120*r**3/9 + 800*r**2/3 - 1349*r. Let w(z) = 0. What is z?
-20, 1, 2
Let q = 1844627/7 - 263518. Find o, given that -q*o**2 - 4/7*o + 3 = 0.
-7, 3
Let u(s) be the first derivative of s**6/12 - 31*s**4/8 - 5*s**3 - 2064. Factor u(z).
z**2*(z - 6)*(z + 1)*(z + 5)/2
Let k(s) be the second derivative of s**7/112 - 7*s**6/80 - 81*s**5/160 - 29*s**4/32 - 5*s**3/8 - 8*s - 84. Factor k(o).
3*o*(o - 10)*(o + 1)**3/8
Suppose -5*y + 2*q + 6 = 0, -5*y + 64*q - 67*q = -16. Let z be ((-4)/24)/((-1)/9). Find a such that z*a - y + 1/2*a**2 = 0.
-4, 1
Let a be 6960/(-125)*(-44)/12*-10. Let y = a + 2042. Suppose -2/5*v**3 + 0 - 4/5*v**2 + 4/5*v**4 + y*v = 0. What is v?
-1, 0, 1/2, 1
Let d(u) = u**2 + 22*u - 170. Let p be d(6). Let t be (-156)/1053*3/p. Let -4/3*q + t*q**2 + 16/9 = 0. Calculate q.
2, 4
Suppose 4*x = 3*c + 83, 3*x + c = 2*c + 61. Let p be (5/(x/(-24)))/(-2). Factor -10*g**4 + p*g**5 - 11*g**5 - 2*g**3 + 40*g**2 - 40*g**2.
-2*g**3*(g + 1)*(4*g + 1)
Let j(x) be the first derivative of x**5/90 - 23*x**4/54 + 143*x**3/27 - 121*x**2/9 - 133*x + 93. Let h(d) be the first derivative of j(d). Factor h(t).
2*(t - 11)**2*(t - 1)/9
Let r(f) be the third derivative of f**8/168 - 2*f**7/7 + 29*f**6/60 + f**2 - 42. Factor r(o).
2*o**3*(o - 29)*(o - 1)
Let d(j) = 2*j**4 + 141*j**3 + 204*j**2 - 10*j + 5. Let f(v) = -v**4 - 71*v**3 - 110*v**2 + 4*v - 2. Let i(t) = 6*d(t) + 15*f(t). Suppose i(g) = 0. Calculate g.
-71, -2, 0
Let k(a) be the second derivative of -a**6/90 - 19*a**5/60 + 8*a**4/9 + 40*a**3/3 + a + 417. Factor k(f).
-f*(f - 4)*(f + 3)*(f + 20)/3
Let r(x) be the third derivative of x**5/80 + 293*x**4/8 + 85849*x**3/2 + 13*x**2 + 1. Factor r(k).
3*(k + 586)**2/4
What is p in 248*p**2 + 25118*p**4 + 76*p**3 - 640 + 4*p**5 - 50309*p**4 + 25151*p**4 - 512*p = 0?
-2, -1, 4, 5
Factor 2996/3*x - 4/3*x**3 - 736/3*x**2 - 752.
-4*(x - 3)*(x - 1)*(x + 188)/3
Suppose -12*h + 12 = -84. Let v = 10 - h. Factor 90 + 3*f**3 - 10*f**v + 50*f**2 - 105*f - 8*f**3.
-5*(f - 3)**2*(f - 2)
Let m(z) = -10*z - 78. Let x be m(-8). Factor 2*v**3 + 393*v**x + 392*v**2 + 392*v**2 + v**3 - 1192*v**2 + 144 - 24*v.
3*(v - 4)**2*(v + 3)
Let h(g) = -3*g**2 - 14. Let a(c) = 64*c**2 - 543*c + 348. Let y(d) = a(d) + 3*h(d). Find t, given that y(t) = 0.
3/5, 102/11
Let v(h) = 11*h**2 - 4*h + 4. Suppose -2*o - 3 - 7 = 0. Let m(f) = 13*f**2 - 4*f + 4. Let s(g) = o*m(g) + 6*v(g). Suppose s(y) = 0. What is y?
2
Factor 21/5*g - 92/5 + 1/10*g**2.
(g - 4)*(g + 46)/10
Let d = 7814 - 7814. Let s(a) be the third derivative of 9/8*a**3 - 5/16*a**4 + d + 1/80*a**5 - 30*a**2 + 0*a. What is z in s(z) = 0?
1, 9
Let j(y) be the third derivative of y**5/60 - y**4/3 - 10*y**3/3 + 6424*y**2. Find b, given that j(b) = 0.
-2, 10
Let t be -4 - (-2 + -5)/(6 - 5). Solve c**2 - 30 - 50*c - 42*c - 3*c**t + 11*c**2 + 113*c = 0.
-2, 1, 5
Suppose 4*x - 8 = -b, -3*b + 5*x - x = -72. Let s be (0 - (-3)/(-6)) + b/8. What is w in 0 + 1/8*w**3 + 1/4*w**s - 3/8*w = 0?
-3, 0, 1
Let r(x) = -196*x**3 + 3808*x**2 + 2217*x + 327. Let w(z) = -98*z**3 + 1904*z**2 + 1109*z + 163. Let h = -353 - -347. Let i(d) = h*r(d) + 14*w(d). Factor i(c).
-4*(c - 20)*(7*c + 2)**2
Let t be 12/(-15) + (-4)/(-5). Suppose t = -3*l + 7 - 1. What is r in -12*r - 12*r + 16*r**2 - 20*r**l = 0?
-6, 0
Let r(i) be the first derivative of i**5/15 - 179*i**4/6 + 32041*i**3/9 + 1065. Determine q so that r(q) = 0.
0, 179
Let d = 679238/5 - 135846. Factor -2/5*s**3 - 2/5*s**2 + d*s + 8/5.
-2*(s - 2)*(s + 1)*(s + 2)/5
Factor 546121 + 739*l + 1/4*l**2.
(l + 1478)**2/4
Let y(c) = 51*c**2 - 306*c - 305. Let w(z) = 64*z**2 - 307*z - 306. Let f(m) = 4*w(m) - 5*y(m). Suppose f(r) = 0. Calculate r.
-301, -1
Let o(b) = b**3 - 5*b + 2. Let r be o(0). Let p(z) be the second derivative of 1/16*z**r + 0 - 1/96*z**4 + 0*z**3 + 30*z. Factor p(f).
-(f - 1)*(f + 1)/8
Factor 4/5*f**2 + 152/5*f + 1248/5.
4*(f + 12)*(f + 26)/5
Let c be ((-16)/5)/(8/(-460)). Let j = -184 + c. Determine b, given that 1/7*b**2 - 1/7*b + j = 0.
0, 1
Let p = 13/17 - -88/85. Let k(u) be the first derivative of 0*u**2 + 22 + 0*u + p*u**5 + 3*u**3 + 15/2*u**4. What is q in k(q) = 0?
-3, -1/3, 0
Suppose -24 - 24 = -22*a + 40. Let s(g) be the second derivative of 0*g**2 + 14*g - 1/2*g**3 + 0 - 1/8*g**a. Factor s(m).
-3*m*(m + 2)/2
Let c(h) = h**3 + 9*h**2 + 14*h + 5. Let r be c(-7). Let p be (18/12)/(r/2 + -2). Find d such that -4*d**2 + 2*d**3 + 3*d**2 - d**p + 12*d**4 - d - 11*d**4 = 0.
-1, 0, 1
Suppose 5*c = p - 11, 3*p + c + 10 = -5. Let o be (-17)/p - (-40 - -33). Factor 5/4*g**4 + 0 - o*g + 75/4*g**2 - 35/4*g**3.
5*g*(g - 3)**2*(g - 1)/4
Let b = 4314 + -4280. Let d(m) be the first derivative of b - 1/5*m**3 + 3/5*m**2 - 3/5*m. What is y in d(y) = 0?
1
Let k(l) = l**3 + 12*l**2 + 2112*l + 20924. Let f be k(-10). Factor -1/4*n**f + 1/4*n**3 - 13/4*n + 3/2 + 7/4*n**2.
-(n - 2)*(n - 1)**2*(n + 3)/4
Let h(y) be the first derivative of -4*y**5/15 - 52*y**4 - 10816*y**3/3 - 281216*y**2/3 + 1286. Determine u so that h(u) = 0.
-52, 0
Determine o, given that 3*o**5 - 5600*o + 170 - 340*o**2 + 2*o**5 - 10*o**3 + 5605*o + 170*o**4 = 0.
-34, -1, 1
Let s be (26 - 38)*3*(-1)/4. Factor -6*y**2 - 5*y**4 - s*y**2 + 120 - 25*y**3 + 100*y + 5*y**2.
-5*(y - 2)*(y + 2)**2*(y + 3)
Let w(j) be the second derivative of -j**7/56 + 91*j**6/120 - 21*j**5/80 - 93*j**4/16 + 34*j**3/3 - 15*j**2/2 - 663*j + 1. Find a such that w(a) = 0.
-2, 1/3, 1, 30
Suppose -4*q = -4*t, 20 = 2*q + 3*q. Let x(m) = 11*m**2 - 8*m - 3. Let a(g) = g**2 + g - 2. Let w(k) = t*a(k) - 4*x(k). Factor w(u).
-4*(u - 1)*(10*u + 1)
Let z(q) be the first derivative of -q**6/80 + q**5/20 + 3*q**4/16 + q**2/2 - 3*q + 5. Let u(r) be the second derivative of z(r). Factor u(c).
-3*c*(c - 3)*(c + 1)/2
Factor -16/7*d + 0 - 6*d**3 - 172/7*d**2.
-2*d*(d + 4)*(21*d + 2)/7
Let i be 1638/1365 + 12/(-10). Factor 98/3*l**2 + 0*l + 2/3*