 k**6/180 - 23*k**5/90 - 8*k**4/9 + 256*k**3 - 720*k**2. Suppose q(y) = 0. Calculate y.
-9, 16
Let z(p) be the first derivative of -2*p**3/3 + 1124*p**2 - 631688*p - 657. Suppose z(o) = 0. What is o?
562
Let n = 20 - 44. Let j = -12 - n. Factor 0 + 5*h + 4 + 7*h - 12*h**3 + j*h**2 + 16*h**3.
4*(h + 1)**3
Factor 28 + 85/3*m**2 - 1/6*m**3 - 337/6*m.
-(m - 168)*(m - 1)**2/6
Let d be (-791)/(-226) - (-2)/4. Solve -31*a**4 - 28*a**2 + 30 + 16*a**3 + 14*a**d - 16*a + 8*a**4 + 7*a**4 = 0.
-1, 1, 3, 5
Let h(u) = 7*u**3 - 641*u**2 - 928*u - 184. Let j be h(93). Suppose 1/4*y**j - 11/4*y + 9/2 = 0. What is y?
2, 9
Let l(j) be the third derivative of -1/1176*j**8 - 4/7*j**3 - 1/105*j**7 - 1/140*j**6 + 1/21*j**4 - 2*j + 88*j**2 + 0 + 19/210*j**5. Let l(y) = 0. Calculate y.
-6, -2, -1, 1
Let f(d) be the third derivative of d**6/120 - d**5/6 + d**4/2 + 12*d**3 - 3*d**2 - 43. Determine g so that f(g) = 0.
-2, 6
Let u(l) be the second derivative of -l**6/6 + 7*l**5 - 305*l**4/3 + 560*l**3 - 1440*l**2 - 1692*l. Factor u(s).
-5*(s - 12)**2*(s - 2)**2
Factor 0 - 2/11*l**2 - 8/11*l.
-2*l*(l + 4)/11
Let k(y) be the first derivative of -125 - 5/14*y**2 + 2/7*y**3 - 1/28*y**4 + 0*y. Let k(j) = 0. Calculate j.
0, 1, 5
Let n = 136649/21 + -6507. Let s(h) be the second derivative of -2*h**4 - 26*h + 0*h**2 - 13/5*h**5 + 0*h**3 + 0 - 16/15*h**6 - n*h**7. Let s(y) = 0. What is y?
-6, -1, 0
Let z(l) be the second derivative of 3*l - 1/42*l**4 + 2 - 10/7*l**2 + 11/21*l**3. Factor z(p).
-2*(p - 10)*(p - 1)/7
Let b(s) be the first derivative of s**6/12 - 157*s**5/30 + 779*s**4/12 + 6535*s**3/9 + 6061*s**2/4 - 2523*s/2 + 1165. Find l such that b(l) = 0.
-3, 1/3, 29
Let j(i) = 105*i**2 - 3860*i + 58540. Let p(y) = -8*y**2 + 297*y - 4503. Let m = -163 + 160. Let d(u) = m*j(u) - 40*p(u). Factor d(c).
5*(c - 30)**2
Let b(g) be the first derivative of 5*g**3/3 + 2215*g**2 + 4310. Suppose b(s) = 0. Calculate s.
-886, 0
Let f(d) = 3*d**2 - 334*d - 149. Let b(h) = 3*h**2 - 380*h - 148. Let n(p) = 4*b(p) - 5*f(p). Determine v, given that n(v) = 0.
-1, 51
Let z(s) be the third derivative of -s**6/420 - s**5/14 + 6*s**4/7 + 432*s**3/7 - 520*s**2. Solve z(t) = 0.
-12, 9
Let q = -59 - -63. Let a be ((-1)/q)/(10/(-200)). Factor 12*b**3 - 8*b**4 - 8*b**2 - 75*b + 2*b**a - 79*b + 156*b.
2*b*(b - 1)**4
Let v be (-55)/(-220) + 17/12 + (33 - 32). Find l, given that 1/3*l**2 + v*l + 7/3 = 0.
-7, -1
Determine j, given that -920*j + 1142*j + 17*j**2 - 789 - 2270*j - 1105*j - 5*j**2 = 0.
-1/4, 263
Let k(f) be the second derivative of -8*f**2 - 2*f**3 - 154*f + 1/10*f**5 + 0 + 1/2*f**4. Factor k(m).
2*(m - 2)*(m + 1)*(m + 4)
Let r(y) be the second derivative of -y**5/40 - 793*y**4/24 - 1577*y**3/4 - 7083*y**2/4 + 13*y + 206. What is v in r(v) = 0?
-787, -3
Let h(t) be the third derivative of t**5/690 - t**4/92 + 88*t**2 + 11. Determine d so that h(d) = 0.
0, 3
Let l be -4 + -2 - (0 + 5072/(-471)). Let o = -16/157 + l. Factor -4 + 10/3*q**2 - o*q.
2*(q - 2)*(5*q + 3)/3
Let v(n) = 5*n**3 + 10*n**2 + 13*n + 11. Suppose 9*x = -7*x + 96. Let w(h) = 56*h**3 + 110*h**2 + 142*h + 122. Let g(a) = x*w(a) - 68*v(a). Solve g(t) = 0.
-2, -1
Let j(g) be the third derivative of 3*g**7/56 - g**6/480 - 91*g**5/120 + g**4/24 + g**3/3 - 3*g**2 - 571. What is f in j(f) = 0?
-2, -1/5, 2/9, 2
Suppose -35*g + 14*g + 378 = 0. Factor 39*z - 23*z**4 - g*z**4 - 528*z**2 + 217*z + 61*z**4 - 288*z**3.
4*z*(z - 16)*(z + 2)*(5*z - 2)
Let x be (8/(-3) - -2)*(-16200)/13500. Factor 96/5*u**2 + x*u - 96/5 - 4/5*u**3.
-4*(u - 24)*(u - 1)*(u + 1)/5
Let s = 8285 + -505368/61. Let p = 71/183 + s. Factor 2/3*w**3 - 2/3*w**2 - p*w + 2/3.
2*(w - 1)**2*(w + 1)/3
Factor -23*g**3 + 122*g**2 + 83 + 13*g**3 - 8*g**3 + 117 - 272*g.
-2*(g - 2)**2*(9*g - 25)
Let r(b) be the third derivative of b**6/160 - 419*b**5/240 + 139*b**4/48 + 1943*b**2. Determine t, given that r(t) = 0.
0, 2/3, 139
Let v(h) = h**4 - h**3 + 2*h**2 + 1. Let p(j) = 15*j**4 - 10*j**3 + 6 - 817*j**2 + 71*j**4 + 829*j**2. Let f(x) = p(x) - 6*v(x). Factor f(n).
4*n**3*(20*n - 1)
Let n(f) be the first derivative of -1/2*f**2 - 2/3*f**3 + 22 + 10/3*f - 1/12*f**4. Let n(v) = 0. Calculate v.
-5, -2, 1
Let f(w) = 5*w**2 + 18*w - 17. Let g be f(-8). Factor c**2 + g*c**3 + 30*c - 154*c**3 + 24*c**2.
5*c*(c + 2)*(c + 3)
Let -57*o**4 - 1752 + 847 - 114*o + 165*o**2 + 905 + 9*o**3 - 3*o**5 = 0. Calculate o.
-19, -2, 0, 1
Suppose 49*c - 384 = 7*c - 6*c. Solve 0*g + 1/2*g**4 + c + 0*g**3 - 4*g**2 = 0.
-2, 2
Suppose 0 = -4*d - 113 + 453. Factor -245*m - 3*m**2 + d*m - 2*m**2 - 1280.
-5*(m + 16)**2
Let x(q) = q**2 - 47*q + 135. Let b be x(3). Let l(c) be the first derivative of -1/8*c**4 + 1/4*c + 26 - 1/2*c**2 + 5/12*c**b. Suppose l(o) = 0. What is o?
1/2, 1
Let n = 844 - 842. Factor 0*m**4 + 27 + 3*m**4 - 75*m**3 + 93*m - 7*m + 111*m**3 - 2*m + 90*m**n.
3*(m + 1)**3*(m + 9)
Let m be 0*26/(-858)*1. Let 1/3*c**2 + 8/3*c + m = 0. What is c?
-8, 0
Let m(r) be the first derivative of 2*r**3/33 - 694*r**2/11 + 126*r - 937. Factor m(k).
2*(k - 693)*(k - 1)/11
What is l in -4/13*l**5 - 6/13*l**4 + 72/13 - 168/13*l + 48/13*l**3 + 2*l**2 = 0?
-3, 1/2, 2
Let m(s) be the third derivative of -19/8*s**4 + 3/20*s**5 + 0 - 24*s**2 + 0*s + 3*s**3. Factor m(p).
3*(p - 6)*(3*p - 1)
Suppose -q - 1 = 96*q - 1. Solve q + 32/5*l + 4/5*l**2 = 0 for l.
-8, 0
Let c be (1 + 34/16)/5. Let s = -1/12 + 7/12. What is j in c - 1/8*j**2 - s*j = 0?
-5, 1
Let b = -86 + 89. Suppose 3*t**b - 3*t**3 - 25*t**2 - 5*t**3 = 0. What is t?
-5, 0
Suppose -76*j - 16 = -74*j - 4*p, j = -3*p + 12. Solve 0*k**2 - 5/2*k**3 + j - 1/4*k**4 + 0*k = 0 for k.
-10, 0
Let v be (-8)/(-32)*(23 + -3). Suppose 4*x + o = -0*o + 6, 5*x - 20 = v*o. What is g in 1/7*g**4 + 3/7*g**x + 0 - 1/7*g - 3/7*g**3 = 0?
0, 1
Let s(n) = 2*n**3 - 14*n**2 - n + 9. Let h be s(7). Suppose -g = c + 3*g + 7, c + h*g = 1. Factor -7*j**2 - 10*j**2 - 4*j**3 + c*j**2.
-4*j**2*(j + 2)
Let u(g) be the first derivative of g**4/8 - 9*g**3/2 + 60*g**2 - 352*g - 5248. Factor u(b).
(b - 11)*(b - 8)**2/2
Let i(x) be the second derivative of x**4/84 - 51*x**3/14 + 225*x**2/7 - 4*x - 63. Factor i(v).
(v - 150)*(v - 3)/7
Let r = 537 - 508. Find w such that 23*w + 27 + 3*w + 23 - 19 + r - 2*w**2 = 0.
-2, 15
Let f(u) be the second derivative of 841*u**2 + 12*u - 58/3*u**3 - 3 + 1/6*u**4. What is w in f(w) = 0?
29
Let p(k) be the first derivative of 3*k**5/5 + 3*k**4 + 3*k**3 - 6*k**2 - 12*k + 3881. Factor p(b).
3*(b - 1)*(b + 1)*(b + 2)**2
Suppose 3*j = 4*y - 32, -12 = -3*y - j - 1. Suppose 3*t + 20 = -4*u, 0 = 4*u - 5*u - y. Factor t + 6/7*k**2 + 3/7*k + 3/7*k**3.
3*k*(k + 1)**2/7
Let n(h) be the third derivative of -h**5/240 - 43*h**4/96 + 11*h**3/6 - 3*h**2 - 1401*h. Determine v, given that n(v) = 0.
-44, 1
Suppose o + 8 - 6 = t, 5*o - 20 = -5*t. Suppose -4*h = 2*g - 22, h + 0*h + 5 = 3*g. Factor -o + f**3 - g + 4*f**2 - 4*f**3 + 6*f - 5*f**3 + 2*f**5.
2*(f - 1)**3*(f + 1)*(f + 2)
Let 2/9*z**3 - 566/9*z**2 - 190/3 - 1138/9*z = 0. What is z?
-1, 285
Let p = 246 + -67. Solve p + 254*j - 369*j - 577*j - 28*j**2 + 21 = 0.
-25, 2/7
Let y(v) be the second derivative of v**5/80 + 61*v**4/12 + 485*v**3/24 + 121*v**2/4 - 598*v. Solve y(q) = 0 for q.
-242, -1
Let m(f) be the first derivative of -21 + 0*f - 28/3*f**3 - f**4 + 0*f**2. Solve m(q) = 0 for q.
-7, 0
Let g(l) = -8*l**2 + l + 3. Let p be g(-2). Let q = p - -33. Factor -18*y**q - 4 + 44*y**3 + 14*y - 16*y**3 - 18*y**3 - 2*y**4.
-2*(y - 2)*(y - 1)**3
Let g(q) be the first derivative of -q**4/4 - 2*q**3 - 4*q**2 - 13*q + 180. Let t be g(-5). Factor 0 - 2/7*f**4 + 2/7*f + 2/7*f**t - 2/7*f**3.
-2*f*(f - 1)*(f + 1)**2/7
Let k(f) be the third derivative of 0*f**3 + 24*f**4 + 9*f + 3*f**2 + 8/5*f**5 + 1/30*f**6 + 0. Suppose k(d) = 0. Calculate d.
-12, 0
Suppose -56*d - 2240 = -51*d. Let t = d + 450. Factor 8/7 - 4/7*x**t - 4/7*x.
-4*(x - 1)*(x + 2)/7
Let v(s) be the third derivative of -s**5/30 + 11*s**4/6 + 80*s**3 - 3238*s**2. Factor v(j).
-2*(j - 30)*(j + 8)
Let u = -450674/15 - -30045. Let c(g) be the second derivative of 0 - 8/3*g**2 - u*g**5 + 14/9*g**3 - 2/9*g**4 - 40*g. Factor c(x).
-4*(x - 1)**2*(x + 4)/3
Let k(m) = -28*m**2 + 356*m - 58. Let f(c) = -26*c**2 + 371*c - 57. Let s(h) = -4*f(h) + 6*k(h). Factor s(u).
-4*(u - 10)*(16*u - 