*k - 6*k**3 - 57*k**g + 38 - 38*k - 112*k + 37 = 0.
-5, 1/2
Let d(t) be the first derivative of t**7/168 - t**6/30 + 7*t**4/24 - 17*t**3/24 + 3*t**2/4 + 8*t - 31. Let v(l) be the first derivative of d(l). Factor v(j).
(j - 3)*(j - 1)**3*(j + 2)/4
Let p(t) be the third derivative of t**6/108 + 13*t**5/5 + 70*t**4/27 + 65*t**2 - 5*t. Let p(m) = 0. Calculate m.
-140, -2/5, 0
Factor 31731*u + 552960 + 465*u**3 + 7165*u - 6062*u + 1726*u - 460*u**3 + 720*u**2.
5*(u + 48)**3
Let w be (2/(-3))/(3/(-9)). Let -10 - 60 + 84*j - w*j**2 - 12 = 0. What is j?
1, 41
Let p(q) be the third derivative of 19*q**8/64 + 73*q**7/35 - 1251*q**6/160 + 121*q**5/40 + 67*q**4/8 + 3*q**3 + 789*q**2. Find z, given that p(z) = 0.
-6, -2/7, -2/19, 1
Let r(d) = d**3 - 8*d**2 - d + 13. Let n be r(8). Determine z, given that -8*z - 2*z**2 - n*z**2 - 5*z**3 + 11*z**2 + 9*z**3 = 0.
-2, 0, 1
Let u = 9482 - 9480. Let -13/2 - u*p**2 - 53/2*p = 0. What is p?
-13, -1/4
Let a = 19141/36096 + -25/256. Let f = 11/47 + a. Find r such that -4/9*r**2 - f*r + 4/9 = 0.
-2, 1/2
Let n(h) = 5*h**2 - 24*h + 96. Let w(o) = o**2 - 3. Let i(j) = -n(j) + 4*w(j). Factor i(x).
-(x - 18)*(x - 6)
Let i(z) be the first derivative of -27*z**6/5 - 83484*z**5/25 - 27783*z**4/5 - 18512*z**3/5 - 6169*z**2/5 - 1028*z/5 + 5628. Factor i(q).
-2*(q + 514)*(3*q + 1)**4/5
Let i = 22609 + -22609. Let q(t) be the second derivative of -7*t + 16/147*t**7 + i*t**3 + 0 + 6/35*t**6 + 0*t**4 + 1/35*t**5 + 0*t**2. Factor q(h).
4*h**3*(h + 1)*(8*h + 1)/7
Let t(r) = -4468*r + 17874. Let j be t(4). Let y be (-26)/(-24) - 3/9. Suppose 7/4*w - 5/4*w**4 - 7/4*w**3 + 1/2 + y*w**j = 0. Calculate w.
-1, -2/5, 1
Suppose -1261*l - 8*l**2 - 12 - 129*l - 1383 + 13*l**2 = 0. What is l?
-1, 279
Let z(m) be the third derivative of -m**7/2205 + 4*m**6/315 - 59*m**5/630 - 4*m**4/63 + 20*m**3/21 - 2463*m**2 - m. Let z(r) = 0. Calculate r.
-1, 1, 6, 10
Let m(g) = -11*g**4 - 3*g**3 - 135*g**2 + 317*g - 162. Let o(t) = -9*t**4 - 5*t**3 - 136*t**2 + 318*t - 163. Let z(y) = 5*m(y) - 6*o(y). Factor z(p).
-(p - 21)*(p - 1)**2*(p + 8)
Suppose -13*u + 8*u - 2210 = 0. Let t = u + 717. Find p such that -160*p**3 - t*p**4 + 102*p**5 + 58*p**2 - 78*p**2 + 78*p**5 = 0.
-1/4, -2/9, 0, 2
Let t(j) be the first derivative of 2*j**3/3 + 14*j**2 - 64*j + 1280. Factor t(n).
2*(n - 2)*(n + 16)
Solve 0*d**2 - 5*d**2 + 174 + 23060*d - 23160*d - 69 = 0.
-21, 1
Let z(y) be the third derivative of -y**8/1344 - 53*y**7/840 + 43*y**6/120 + 14*y**5/15 - 12331*y**2. Determine m, given that z(m) = 0.
-56, -1, 0, 4
Let l(c) be the first derivative of 10*c**6/3 + 29*c**5 + 155*c**4/4 + 10*c**3 + 1322. Suppose l(j) = 0. What is j?
-6, -1, -1/4, 0
Let a(o) be the third derivative of -85/4*o**4 - 289/2*o**3 + 80*o**2 + 0*o - 5/4*o**5 + 0. Factor a(j).
-3*(5*j + 17)**2
Factor -13*v + 3*v**3 + 2*v**3 + 65 + 36*v - 58*v - 35.
5*(v - 2)*(v - 1)*(v + 3)
Let q(z) be the second derivative of z**4/72 - 40*z**3/9 - 27*z**2 - z + 670. What is f in q(f) = 0?
-2, 162
Let g(m) be the second derivative of -34/45*m**3 - 2*m - 8/3*m**2 + 7/90*m**4 - 32 + 1/150*m**5. Factor g(a).
2*(a - 4)*(a + 1)*(a + 10)/15
Suppose 491 + 219 = -2*a. Let c = 355 + a. Suppose c*t - 1/2*t**2 - 3/2*t**4 + 2*t**3 + 0 = 0. What is t?
0, 1/3, 1
Let b(w) = -10*w - 33. Let y be b(-3). Let h be (2 - (-3 - 3/(-4))) + y. Factor h*r**2 + 5/4*r + 0.
5*r*(r + 1)/4
Let u(p) be the third derivative of -p**7/1890 + 47*p**6/1080 - 35*p**5/54 + 38*p**4/27 - 2477*p**2. Factor u(j).
-j*(j - 38)*(j - 8)*(j - 1)/9
Let a(t) = -16*t**3 + 149*t**2 - 220*t + 7. Let j(q) = 11*q**3 - 100*q**2 + 146*q - 5. Let p(k) = 5*a(k) + 7*j(k). Factor p(n).
-3*n*(n - 13)*(n - 2)
Let g(v) be the third derivative of v**5/15 + 390*v**4 + 912600*v**3 - v**2 - v - 814. Factor g(o).
4*(o + 1170)**2
Suppose 0 = 5*r - 37 + 2. Factor 26 + 22 - r*h - 13*h + 2*h**2.
2*(h - 6)*(h - 4)
Let z(x) be the first derivative of -3*x**5/80 - 5*x**4/16 - x**3/4 + 3*x**2 + 9*x + 153. Let n(y) be the first derivative of z(y). Factor n(a).
-3*(a - 1)*(a + 2)*(a + 4)/4
Let z = -211972 - -1484142/7. Factor 48/7*o**4 + 0 + 2/7*o**5 + z*o + 236/7*o**3 - 624/7*o**2.
2*o*(o - 1)**2*(o + 13)**2/7
Suppose 248*s - 188*s - 5*s**2 + 0*s**2 + s**2 - 668*s - 1788 = 0. Calculate s.
-149, -3
Let b be (65/(-10) - -2)/(-6). Let t = -3011 - -12047/4. Find l such that -b*l + 0 + t*l**2 = 0.
0, 1
Find y such that 429*y**3 + 3*y**4 - 21*y**2 - 1278*y**3 + 425*y**3 + 442*y**3 = 0.
-7, 0, 1
Let a(p) = 4*p**2 + 5*p + 2. Let g(s) = 24*s**2 - 283*s + 898. Let i(n) = 5*a(n) - g(n). Factor i(u).
-4*(u - 74)*(u - 3)
Suppose 5*t - 7 = -2, -4*k - 3*t = -11. Suppose -k*y = 31 - 35. Factor -48*s + 7*s**2 + 144 + 2*s**2 - 5*s**2 + 0*s**y.
4*(s - 6)**2
Let k(u) be the first derivative of 2*u**5/5 + 9*u**4/2 + 14*u**3/3 - 9*u**2 - 16*u - 1125. Factor k(t).
2*(t - 1)*(t + 1)**2*(t + 8)
Let c = -663 + 768. Factor 383*g**2 - g**3 - g**3 - c*g**2 + 425 - 10225 - 9520*g.
-2*(g - 70)**2*(g + 1)
Let m = -8574 + 8578. Factor -3/5*d**2 + m - 28/5*d.
-(d + 10)*(3*d - 2)/5
Find u such that -1/2*u**3 - 18*u**2 + 199/2*u - 123 = 0.
-41, 2, 3
Let w = -519 - -522. Solve -5*a**2 + a**4 + 0*a**2 + 48 - 8*a**2 + 9435*a**3 + 40*a - 9439*a**w = 0.
-3, -1, 4
Let k(a) be the first derivative of -1/3*a**5 + 0*a**2 - 20 + 55/9*a**3 + 0*a + 25/6*a**4. Factor k(s).
-5*s**2*(s - 11)*(s + 1)/3
Let y = 84082 + -84078. Factor 15/4*b**2 + 0 - 3/2*b - 3/4*b**y + 3/4*b**5 - 9/4*b**3.
3*b*(b - 1)**3*(b + 2)/4
Factor -249/8*i**2 + 3/8*i**3 + 120*i - 237/2.
3*(i - 79)*(i - 2)**2/8
Let t = 16 - 11. Suppose -3*z + 16 = t*z. Solve -z - 3*v**3 - 11*v**2 - 5*v + v**3 - v + 5*v**2 = 0.
-1
Factor 13*l**2 + l**3 - 30*l + 8 + 5*l - l**4 - 2 - 2 + 8.
-(l - 3)*(l - 1)**2*(l + 4)
Let f(d) be the second derivative of -d**5/35 - 17*d**4/42 + 29*d**3/21 - 10*d**2/7 - 4*d - 732. Solve f(o) = 0.
-10, 1/2, 1
What is s in 74*s - 15*s**4 - 36543 + 37041 + 2650*s - 477*s - 1263*s**3 - 1467*s**2 = 0?
-83, -2, -1/5, 1
Let o(f) be the second derivative of f**5/510 + f**4/34 + 5*f**3/51 + 16*f**2 - 7*f + 13. Let t(a) be the first derivative of o(a). Factor t(x).
2*(x + 1)*(x + 5)/17
Let y(r) = r**3 - 55*r**2 + 76*r + 112. Let o(a) = -4*a**3 + 166*a**2 - 232*a - 337. Let t(c) = 4*o(c) + 13*y(c). Solve t(b) = 0 for b.
-18, -1, 2
Let p(x) be the first derivative of -184 - 12*x + 18/5*x**2 - 1/5*x**3. Factor p(o).
-3*(o - 10)*(o - 2)/5
Suppose -5*k - 74 - 41 = -5*m, -101 = -4*m - 5*k. Let -6869*q + 8*q**4 - 2*q**5 + 8*q**3 - 4*q**3 + 6851*q - m*q**2 = 0. What is q?
-1, 0, 3
Let l(g) = 16*g**2 - 3*g + 2. Suppose 3*z - 9 = 2*o + 4, 4*o - 14 = -2*z. Let p be l(o). Factor -3*u - p*u**2 + 27 + 10*u**3 - 7*u**3 + 8*u + 4*u.
3*(u - 3)**2*(u + 1)
Let z(h) be the third derivative of 1/90*h**5 - 1/315*h**7 - 1/672*h**8 + 0*h**3 - 1/36*h**4 + 7/720*h**6 + 0*h + 111*h**2 + 0. Find g, given that z(g) = 0.
-2, -1, 0, 2/3, 1
Let s(h) be the third derivative of h**6/240 - 14*h**5/3 - 563*h**4/12 - 188*h**3 + 89*h**2 - 2*h - 13. Determine a so that s(a) = 0.
-2, 564
Let -i - 8828*i**2 + 2 + 9*i - 2 + 8584*i**2 + 236*i**3 = 0. What is i?
0, 2/59, 1
Let r(o) be the third derivative of o**7/105 + 19*o**6/60 + 3*o**5 - 9*o**4 - 360*o**3 + o**2 - 5560*o - 1. Determine q, given that r(q) = 0.
-10, -6, 3
Let g(d) be the first derivative of -24*d - 70 + 14*d**2 - 4/3*d**3. Suppose g(s) = 0. What is s?
1, 6
Factor -31*l**5 - 16*l**3 - 6*l**5 + 41*l**5.
4*l**3*(l - 2)*(l + 2)
Let o(a) be the first derivative of -1/18*a**4 - 80/9*a**2 + 212 - 128/9*a - 34/27*a**3. Find j, given that o(j) = 0.
-8, -1
Let 541*z**3 + 710*z**3 + 60*z + 48*z**5 + 133*z**2 + 2851*z**4 - 649*z**2 - 3451*z**4 = 0. Calculate z.
0, 1/4, 2, 10
Factor 56 - 67*t + 251*t + 4 + 4*t**4 + 72*t**3 + 192*t**2.
4*(t + 1)**3*(t + 15)
Let h be (1206/30)/(9/15). Let g be h/22 - (2 - (-9)/(-6)). Let -184/11*j - 266/11*j**3 + 32/11 + 30/11*j**5 + 360/11*j**2 + g*j**4 = 0. What is j?
-4, 2/5, 2/3, 1
Let a(l) = 19*l + 21. Let i be a(-6). Let o = i - -97. Solve -44*w**4 - 10*w**3 + 5*w - 5*w**2 + 49*w**o + 5*w = 0.
-1, 0, 1, 2
Suppose -1 = 9*u - 55. Let g(t) be the second derivative of -t**2 + 0 - 11/12*t**3 - 7/24*t**4 - u*t. Let g(z) = 0. Calculate z.
-1, -4/7
Let j(u) be the third derivative of 3*u**5/20 - 121*u**4/12 + 104*u**3/3 - 308*u