4*s + 385*s**2 + 2*s = 0. Calculate s.
0, 2
Let k(b) be the third derivative of -3*b**5/50 + 37*b**4/12 + 28*b**3/5 + 24*b**2 + 10*b. Let k(m) = 0. Calculate m.
-4/9, 21
Factor -11/4*k**3 - 3*k**2 + 1/4*k**4 + 37*k - 44.
(k - 11)*(k - 2)**2*(k + 4)/4
Let p(k) be the third derivative of 0 - 77*k**2 - 1/1512*k**8 + 1/135*k**5 + 0*k**4 + 1/180*k**6 + 0*k**3 + 0*k + 0*k**7. Factor p(d).
-2*d**2*(d - 2)*(d + 1)**2/9
Let q(r) be the third derivative of -r**6/60 + 4*r**5/3 - 125*r**4/3 + 2000*r**3/3 - 2745*r**2. Solve q(n) = 0 for n.
10, 20
Let v = 132/23 + -769/138. Let q(r) be the first derivative of 0*r + 8 + 0*r**2 - v*r**3. Factor q(h).
-h**2/2
Let r(l) be the second derivative of -l**8/8400 + 17*l**7/1050 - l**6/18 + 169*l**4/12 - 229*l. Let j(c) be the third derivative of r(c). Factor j(o).
-4*o*(o - 50)*(o - 1)/5
Let y = 329 - 327. Solve 2*u**3 + 36*u**2 - 3*u**2 + 12*u**3 + 25*u**2 - y*u**4 + 42*u**3 = 0.
-1, 0, 29
Factor 11/2*i**3 + 154*i + 196 + 177/4*i**2 + 1/4*i**4.
(i + 4)**2*(i + 7)**2/4
Let k = -379 - -385. Let x be (4 - 5)/((-3)/k). Factor 0*n**x + 0 + 0*n + 1/7*n**4 - 1/7*n**3.
n**3*(n - 1)/7
Let t(x) = -85*x**3 - 2255*x**2 - 2410*x - 205. Let f(m) = 7*m**3 - 3*m - 3. Let g(c) = 5*f(c) + t(c). Determine s so that g(s) = 0.
-44, -1, -1/10
Let t(v) = 70*v**2 - 6*v. Let k(l) = 326*l**2 - 30*l. Let j(m) = 3*k(m) - 14*t(m). Factor j(q).
-2*q*(q + 3)
Let v = -168 + 338. Suppose v = s + s. Solve -s + 20*y + 35 + 15*y**2 - 17*y**2 = 0 for y.
5
Let w(c) be the third derivative of -c**6/60 + 57*c**5/10 - 85*c**4/6 + 13*c**2 + 6. Factor w(o).
-2*o*(o - 170)*(o - 1)
Let p(d) be the third derivative of 1/90*d**5 + 0*d**3 + 0*d - 72*d**2 + 1/72*d**4 + 0 + 1/360*d**6. Factor p(x).
x*(x + 1)**2/3
Let w(a) = -5*a**5 - 80*a**4 - 324*a**3 - 322*a**2 + 36*a + 107. Let s(m) = m**5 + m**4 - m**2 - 1. Let h(k) = -s(k) + w(k). What is b in h(b) = 0?
-6, -1, 1/2
Let y = -3358 + 3374. Let v(d) be the first derivative of 1/6*d**4 + y*d**2 - 12 + 128/3*d + 8/3*d**3. Determine m so that v(m) = 0.
-4
Let t be 3 + 8274/(-2070) + 1. Let m = 343/690 + t. Suppose 1/4*r**4 + 0*r + 0 + m*r**3 + 0*r**2 = 0. Calculate r.
-2, 0
Let a(j) be the second derivative of j**7/2520 - j**5/120 - 121*j**4/12 + 99*j. Let o(d) be the third derivative of a(d). Factor o(t).
(t - 1)*(t + 1)
Suppose -s - 122 - 4*s**2 + 65 + 349 + 148 + 5*s = 0. What is s?
-10, 11
Let u be (-6)/(-12) - (-4)/(32/20). Solve -7*t**2 - 41*t**u + 44*t**3 + t**2 - 6*t**2 = 0.
0, 4
Let f = 7 + -5. Let x(d) = d**2 + 3*d - 5. Let y be x(-5). Suppose -20*g**3 - 8*g + 30*g**3 + 6*g**2 + 9 - f*g**y - 9 - 6*g**4 = 0. Calculate g.
-4, -1, 0, 1
Let k = -18 + 9. Let q be (-18)/k*((-7)/(-2) - 2). Factor -6*z**5 + 2*z**q + 2*z + z**4 - 5*z**2 + z**3 + 5*z**5.
-z*(z - 1)**3*(z + 2)
Let q(x) be the second derivative of -x**7/105 + 8*x**6/75 - 7*x**5/25 - 4*x**4/15 + x**3 - 690*x. Find u, given that q(u) = 0.
-1, 0, 1, 3, 5
Let k = 480 + -465. Let x be -6 - (93/k)/(-1). Determine p so that -1/5*p**2 + 0*p + x*p**3 + 0 = 0.
0, 1
Let c be 8/(-20) - (-1584)/360. Find v, given that 0 - 14/23*v**3 - 10/23*v - 2/23*v**c - 22/23*v**2 = 0.
-5, -1, 0
Factor 161651*j**2 + 259263*j**2 - 970200*j + 88*j**4 - 7988*j**3 + 125*j**4 - 1372000 - 34654*j**2 - j**5 - 7338*j**3.
-(j - 70)**3*(j - 4)*(j + 1)
Let h = 133 - 136. Let w(c) = -4*c**3 - 16*c**2 + 17*c - 3. Let f(v) = -v**3 - 2*v**2 + v + 1. Let x(i) = h*w(i) + 15*f(i). Solve x(m) = 0 for m.
2
Suppose 0 = r + 6*o + 88, 5*o + 3783 = 5*r + 3698. Factor 36/5 + 32/5*q - 4/5*q**r.
-4*(q - 9)*(q + 1)/5
Let o = 2043/4090 - -1/2045. Let y(r) be the first derivative of 12*r**2 + 0*r**3 - 20 + 32*r - o*r**4. Factor y(a).
-2*(a - 4)*(a + 2)**2
Let g(u) be the first derivative of 86 + 0*u + u**2 + 1/3*u**3 - 1/4*u**4. Factor g(v).
-v*(v - 2)*(v + 1)
Let m(v) be the third derivative of -5/48*v**4 + 0*v + 0*v**3 + 3*v**2 - 1/84*v**7 + 1/24*v**5 + 1/48*v**6 - 14. Factor m(u).
-5*u*(u - 1)**2*(u + 1)/2
Let n be ((-95)/(-25) + -5)*50/(-4). Find b such that -27*b - 20*b**2 + 3*b - 16*b**2 + n*b**3 - 12 - 3*b**5 + 33*b**2 + 3*b**4 = 0.
-1, 2
Let o(i) be the second derivative of -i**6/60 - 67*i**5/20 - 385*i**4/2 - 726*i**3 + 1090*i - 2. Factor o(n).
-n*(n + 2)*(n + 66)**2/2
Let b be 5/(15/(-2))*-114. Let -11*i**2 + 4*i**4 + 10*i**4 - i**2 - 10*i - 2 + 6*i**5 + b*i**3 - 72*i**3 = 0. What is i?
-1, -1/3, 1
Let s(q) be the third derivative of q**7/1050 + q**6/75 - 11*q**5/75 + 2*q**4/5 + 5*q**2 - 177*q + 2. Solve s(r) = 0 for r.
-12, 0, 2
Factor -2460 - 13625*m**2 - 631*m + 13621*m**2 - 201*m.
-4*(m + 3)*(m + 205)
Let b be (7276/14)/(0 + (-12)/(-18)). Let a = 780 - b. Factor -15/7*k + a*k**2 + 0.
3*k*(k - 5)/7
Let j(u) = 98*u**3 - 170*u**2 + 9*u + 9. Let b(y) = -50*y**3 + 85*y**2 - 5*y - 5. Let o(a) = -9*b(a) - 5*j(a). Factor o(v).
-5*v**2*(8*v - 17)
Factor -6358*a - 9826/3 - 4114*a**2 - 2662/3*a**3.
-2*(11*a + 17)**3/3
Let l(a) be the first derivative of -10*a**3 - 2/5*a**5 - 9*a**2 + 0*a - 7/2*a**4 + 74. Suppose l(q) = 0. What is q?
-3, -1, 0
Let a = -8/1697 - 1121677/8485. Let x = a + 134. Find m, given that 4/5 + 1/5*m**3 + 6/5*m**2 + x*m = 0.
-4, -1
Let l be 3800/(-35) + (-3)/((-63)/12). Let y be (6 - l/(-30))*(-80)/(-9). Factor -160/3*u**2 + y*u**3 - 8/3 + 68/3*u.
4*(u - 2)*(4*u - 1)**2/3
Let p be -4 + -6 + (-8981)/(-896). Let n = 271/640 - p. Factor n*f**2 + 0*f - 2/5.
2*(f - 1)*(f + 1)/5
Let n(y) be the second derivative of -y**5/240 - y**4/12 + 3*y**3/8 + 84*y**2 + 5*y. Let t(b) be the first derivative of n(b). Factor t(a).
-(a - 1)*(a + 9)/4
Let f(s) be the second derivative of 0*s**2 - 1/6*s**4 + 0 + 0*s**3 + 1/20*s**5 + 34*s. Factor f(n).
n**2*(n - 2)
Let a(p) be the second derivative of -5*p**4/12 - 40*p**3/3 - 195*p**2/2 + 1790*p. Factor a(u).
-5*(u + 3)*(u + 13)
Let 1/4*x**5 - 128*x**4 - 4999696*x - 1183876*x**2 + 21673*x**3 - 5088448 = 0. What is x?
-2, 172
Let c = 38 - 45. Let t(l) = -l - 2. Let x be t(c). Factor 4*y**4 + x*y**5 + 5*y**4 - 3*y**4 + 5*y**3 + 4*y**4.
5*y**3*(y + 1)**2
Let i(d) = -787*d + 7894. Let u be i(10). Let v(l) be the first derivative of -3/5*l**5 + 6*l**2 + 38 - 15/4*l**4 - 6*l**3 + u*l. Factor v(k).
-3*(k - 1)*(k + 2)**3
Factor -135/4*d**2 - 47/4*d**3 - 11 - 1/4*d**4 - 133/4*d.
-(d + 1)**3*(d + 44)/4
Let s(v) = 3*v - 8. Let y(h) = 8*h - 25. Let d(f) = -17*s(f) + 6*y(f). Let t be d(-8). Factor 9*c**2 - 2*c**2 + 0*c**2 + 5*c + 8*c**2 - 5*c**3 - t - 5*c**4.
-5*(c - 1)**2*(c + 1)*(c + 2)
Suppose -2*j - 124 = -5*x, x = -2*x - 3*j + 66. Suppose -2*t + 2*r = t - x, 36 = 4*t - 4*r. Factor -9*h**2 - t*h**2 - 2*h**2 - 3*h**3 + 11*h**2.
-3*h**2*(h + 2)
Suppose 3*m + 2*m + h - 78 = 0, 5*h = -10. Suppose 3*a**4 - m*a**4 - 240*a**3 - 594*a**2 - 4440*a**2 - 9360*a - 4563 + 10*a**4 = 0. What is a?
-39, -1
Let n(k) be the first derivative of k**3/12 + 27*k**2/8 - 7*k + 5328. Let n(a) = 0. What is a?
-28, 1
Let q = 2009 - 1991. Let z be 10/q - (-6 - 114/(-18)). Factor 0*v**3 - z*v**5 + 0 + 4/9*v**2 + 2/9*v - 4/9*v**4.
-2*v*(v - 1)*(v + 1)**3/9
Suppose -z = -3*b + 2 + 101, 5*z = 25. Let a = 79 + -77. Factor -34*i - 3*i**2 - i**a - 2*i**5 + b*i + 4*i**4.
-2*i*(i - 1)**3*(i + 1)
Let l(y) be the first derivative of -11*y**4/12 + 21*y**3 - 35*y**2 + 32*y/3 - 361. Suppose l(c) = 0. What is c?
2/11, 1, 16
Let u(m) = -3*m - 18. Suppose -34 + 41 = -n. Let y be u(n). Solve 1/2*v**2 + 1/2*v**y + 0 - v = 0.
-2, 0, 1
Let s(l) be the third derivative of 4/35*l**7 - 1/336*l**8 - 121/24*l**4 + 22/5*l**5 - 40*l**2 + 0*l + 0*l**3 - 83/60*l**6 + 0. Find d, given that s(d) = 0.
0, 1, 11
Let w(p) be the first derivative of 0*p + 116 - 3/7*p**2 + 2/21*p**3. Suppose w(z) = 0. What is z?
0, 3
Let k be (-3*60/4680)/(1/(-13)). Let -k*r**3 + 1/2*r**2 + 9/2*r - 9/2 = 0. What is r?
-3, 1, 3
Find a, given that 2064*a - 501*a**4 - 2378*a**2 + 2612*a**3 - 378*a**4 - 2084*a**2 + 343*a**4 + 318*a**2 + 4*a**5 = 0.
0, 1, 2, 129
Factor 459/8*p - 3/8*p**2 - 675/4.
-3*(p - 150)*(p - 3)/8
Let n(i) be the second derivative of 5/6*i**4 + 0*i**2 - 6*i + 1/6*i**6 - 3/4*i**5 + 0*i**3 - 6. Solve n(u) = 0.
0, 1, 2
Let o(d) be the first derivative of -d**6/45 + 6*d**5/25 + 91*d**4/10 - 5746*d**3/45 - 1156. Find f such that o(f) = 0.
-17, 0, 13
Suppose 117*k - 215*k = 219*k + 38*k + 52*k. Suppose 16/3*b**2 + 16/3*b**3 + 0 - 4/3