+ 3*k**3 - 3310*k**2 + 3304*k + 15750 = 0. Calculate k.
-210, -5
Suppose 4*q + 19 - 339 = 0. Suppose -6*y + 8 + 184 = 0. Factor y*d - 77*d**3 + q*d**3 + 24*d**2 + 31*d + 54.
3*(d + 2)*(d + 3)**2
Let v be -26*1595/(-1430) - (0 + 5). Factor 92/3*y + 8/3*y**4 + v*y**3 - 4/3*y**5 + 128/3*y**2 + 8.
-4*(y - 6)*(y + 1)**4/3
Let q(g) be the third derivative of -g**6/30 - 158*g**5/15 - 157*g**4/6 - 3446*g**2. Let q(v) = 0. What is v?
-157, -1, 0
Let s(v) be the first derivative of 3*v**4/20 + 17*v**3 + 501*v**2/10 + 249*v/5 - 347. Determine k, given that s(k) = 0.
-83, -1
Determine t, given that 225*t**3 - 16*t**4 + 1318*t - 26*t**4 + 6*t**4 - 1030*t - 3*t**5 + 546*t**2 = 0.
-16, -1, 0, 6
Let h(b) be the second derivative of 0 + 0*b**2 + 0*b**3 - 1/90*b**4 - 64*b. What is c in h(c) = 0?
0
Solve 3/4*k**4 + 15/4*k**3 - 87/4*k - 21/4*k**2 + 45/2 = 0 for k.
-5, -3, 1, 2
Let m(h) be the first derivative of 0*h - 2/13*h**3 - 1/26*h**4 + 10/13*h**2 + 138. Factor m(u).
-2*u*(u - 2)*(u + 5)/13
Let h(y) be the second derivative of -y**6/72 - y**5/4 + 141*y**2/2 - 3*y + 74. Let p(w) be the first derivative of h(w). Factor p(u).
-5*u**2*(u + 9)/3
Let x(m) = m**3 - 32*m**2 + 210*m - 65. Let r be x(23). Let d(g) be the first derivative of 0*g**r + 13 + 2/25*g**5 + 0*g**2 - 4/15*g**3 + 2/5*g. Factor d(i).
2*(i - 1)**2*(i + 1)**2/5
Factor -57776/15*d**2 - 80736/5 - 79808/5*d + 688/15*d**3 - 2/15*d**4.
-2*(d - 174)**2*(d + 2)**2/15
Let b be 1/(-12)*(2 + 0)*3*0. Let h = -31 + 34. Factor 0 - 3*d**2 + 9/4*d**4 + b*d + 3/4*d**5 + 0*d**h.
3*d**2*(d - 1)*(d + 2)**2/4
Let p be ((-84)/9)/((-27)/1620). Suppose 549*a = p*a. Factor 0 - 2/5*q**4 + 0*q - 1/5*q**5 + a*q**2 - 1/5*q**3.
-q**3*(q + 1)**2/5
Let u(y) be the first derivative of -y**4 - 8712*y + 256/3*y**3 - 138 - 1914*y**2. Find t such that u(t) = 0.
-2, 33
Let y(f) be the third derivative of -f**5/300 - 217*f**4/60 + 436*f**3/15 - 1994*f**2. Factor y(a).
-(a - 2)*(a + 436)/5
Let g = 10122 - 10116. Let c(n) be the third derivative of 5/8*n**4 + 0*n**3 - 24*n**2 + 1/40*n**g - 3/10*n**5 + 0 + 0*n. Suppose c(k) = 0. Calculate k.
0, 1, 5
Let p(k) be the second derivative of k**7/98 + 8*k**6/5 + 1947*k**5/28 + 3025*k**4/14 + 542*k. Solve p(s) = 0 for s.
-55, -2, 0
Let h(t) be the third derivative of 1/84*t**8 + 38/105*t**7 + 296/15*t**5 + 352/3*t**3 + t**2 + 184/3*t**4 + 56/15*t**6 + 3*t + 0. Factor h(k).
4*(k + 2)**4*(k + 11)
Determine y, given that 624/7*y - 89*y**3 + 61/7*y**4 - 252 + 1703/7*y**2 - 1/7*y**5 = 0.
-1, 1, 6, 49
Suppose n + 2*u - 36 = 6*u, 0 = -n - 3*u + 8. Let t be 25 + ((-4)/(-5))/((-4)/n). Solve t*z**2 - 70*z**2 + 2*z**3 + 98*z + 21*z**2 = 0 for z.
0, 7
Let x(f) be the first derivative of 0*f - 36 - 1/4*f**4 - 5/2*f**2 - 2*f**3. Factor x(a).
-a*(a + 1)*(a + 5)
Factor 28*s**2 - 30*s**2 - 55*s**2 - 28*s**2 + 273*s + 77*s + 5*s**3.
5*s*(s - 10)*(s - 7)
Factor -950 - 20*l - 1568*l**2 - 25*l - 1563*l**2 + 3136*l**2.
5*(l - 19)*(l + 10)
Let a(q) be the first derivative of 1/3*q**3 - 15/2*q**2 + 14*q - 4. Let a(f) = 0. Calculate f.
1, 14
Let n(o) be the first derivative of -3*o**5/5 + 30*o**4 - 197*o**3 - 357*o**2 - 5373. Let n(j) = 0. What is j?
-1, 0, 7, 34
Let r be 9 - (-5 + (2 - -8)) - (-68)/28. Let -r - 48/7*o - 3/7*o**2 = 0. Calculate o.
-15, -1
Let q(g) = 18*g**4 + 522*g**3 + 24357*g**2 + 23778*g. Let k(p) = p**4 - p**3 + 4*p**2 + p. Let l(i) = 15*k(i) - q(i). Suppose l(r) = 0. Calculate r.
-89, -1, 0
Let v(c) = -13*c**3 + 21*c**2 - 28*c + 12. Let o(k) = 36*k**3 - 64*k**2 + 83*k - 33. Let w(b) = 4*o(b) + 11*v(b). Factor w(a).
a*(a - 24)*(a - 1)
Let a = -41 + 6. Let i = 44 + a. Factor 14*y + 4*y**2 + i - 5*y**2 - 1 - 12*y.
-(y - 4)*(y + 2)
Let d(m) = 7*m**3 + 136*m**2 + 72*m - 57. Let t = 477 + -426. Let o(y) = -y**3 - 17*y**2 - 9*y + 7. Let l(a) = t*o(a) + 6*d(a). Factor l(s).
-3*(s + 1)*(s + 5)*(3*s - 1)
Let j(p) be the first derivative of 2*p**4 - p**3/3 - 16*p**2 + 4*p - 2321. Factor j(i).
(i - 2)*(i + 2)*(8*i - 1)
Let d = 1121/156 - 7535/1092. Factor 4/7*j + d*j**2 + 2/7.
2*(j + 1)**2/7
Let c(z) be the first derivative of z**3/24 - 81*z**2/16 + 225*z/4 + 1931. Factor c(h).
(h - 75)*(h - 6)/8
Let w(u) = -2*u**2 + 10*u - 6. Let x be w(3). Let m be (13 - -5)/3 - x. Factor 1/3*f**3 + 5/3*f**4 + 0*f + m + f**5 - 1/3*f**2.
f**2*(f + 1)**2*(3*f - 1)/3
Let n(j) be the second derivative of 0*j**4 + 0*j**3 + 3 + 1/273*j**7 - 5*j + 2/65*j**5 + 0*j**2 + 1/39*j**6. Suppose n(w) = 0. Calculate w.
-4, -1, 0
Factor -2/9*y**4 - 3560*y - 1800 + 356/9*y**3 - 15482/9*y**2.
-2*(y - 90)**2*(y + 1)**2/9
Suppose 22*f + 60/7 + 6/7*f**3 + 100/7*f**2 = 0. Calculate f.
-15, -1, -2/3
Let h(y) be the first derivative of 32*y**3/3 + 698*y**2 - 528*y + 2090. What is i in h(i) = 0?
-44, 3/8
Determine x so that 88/9*x - 22/3*x**2 - 2/9*x**4 - 40/9 + 20/9*x**3 = 0.
1, 2, 5
Let f(t) be the third derivative of 0 - 13*t**2 - 3/160*t**5 - 1/320*t**6 + 0*t**4 - t + 0*t**3. Suppose f(i) = 0. What is i?
-3, 0
Let h = -7209/5 - -1435. Let q = 181/20 + h. Suppose -q - 15/4*n - 1/4*n**3 - 7/4*n**2 = 0. What is n?
-3, -1
Suppose 0 = -99*v + 68*v + 1116. Let g be (8/(-10))/(v/(-90)). Find r, given that -1/4*r**3 + 2 - 5/4*r**g - 1/2*r = 0.
-4, -2, 1
Let r(q) be the third derivative of -q**6/1080 + 16*q**5/45 - 512*q**4/9 - 34*q**3/3 + 2*q**2 + 22. Let n(a) be the first derivative of r(a). Factor n(u).
-(u - 64)**2/3
Let d(u) be the third derivative of u**7/525 - u**6/300 - u**5/150 + u**4/60 + 1661*u**2. Factor d(r).
2*r*(r - 1)**2*(r + 1)/5
Let l(t) = -420*t - 36956. Let u be l(-88). Suppose 0 + 1/4*s + u*s**3 + 2*s**2 = 0. Calculate s.
-1/4, 0
Let x = 14 - -29. Let f = 48 - x. Factor 0*z**3 + 3*z**f - 2*z - 2*z**3 + 5*z - 4*z**3.
3*z*(z - 1)**2*(z + 1)**2
Let b be 8/(168/(-99)) + (-120)/(-8) + -10. Factor 0 + 0*m - b*m**4 + 8/7*m**2 - 6/7*m**3.
-2*m**2*(m - 1)*(m + 4)/7
Let d(x) = -x**3 - 9*x**2 - 127*x - 1140. Let n be d(-9). Let p(q) be the first derivative of -1/22*q**4 - 6 + 2/11*q**n - 2/11*q**2 + 0*q. Factor p(v).
-2*v*(v - 2)*(v - 1)/11
Let s = 1/24 - -43/120. Let m = -3676/3 + 18398/15. Find w, given that m + s*w**2 - 8/5*w = 0.
1, 3
Let i = 91402 + -273998/3. Let 4/3*o**5 + 152/3*o**3 + i*o**2 + 32/3 + 16*o**4 + 44*o = 0. What is o?
-8, -1
Factor -19/3 + 1/3*j**3 - 37/3*j - 17/3*j**2.
(j - 19)*(j + 1)**2/3
Let a(q) be the third derivative of -q**5/45 - 23*q**4/6 + 156*q**3 - q**2 - 753*q. Factor a(i).
-4*(i - 9)*(i + 78)/3
Factor 62462015*m**2 - 84402451441/10 + 431/2*m**4 - 1/10*m**5 - 174097*m**3 - 16755217633/2*m.
-(m - 539)**4*(m + 1)/10
Let l(p) be the first derivative of 5*p**3/9 + 245*p**2/6 + 430*p + 3991. Solve l(t) = 0 for t.
-43, -6
Let c be -6 + (-2)/5*-10 - -2. Let w(a) be the first derivative of c*a - 5*a**3 + 5*a**2 + 5/4*a**4 + 16. Factor w(i).
5*i*(i - 2)*(i - 1)
Let k(y) = y**3 + 21*y**2 + 8*y + 168. Let j be k(-21). Let a be 52/8 + j + 6/(-1). Suppose -a + 1/10*w**2 - 2/5*w = 0. Calculate w.
-1, 5
Let t be (16 - 24) + (1 - -17) - (-105)/(-12). Suppose 25/2*q**2 - 5/4*q - 25/2 + t*q**3 = 0. What is q?
-10, -1, 1
Let t(z) = 2*z**2 + 52*z - 50. Let n be t(-27). Let g(v) be the first derivative of -24/5*v**3 + 0*v - 162/5*v**2 + 3 - 1/5*v**n. Suppose g(j) = 0. Calculate j.
-9, 0
Let u be -6 + (-46)/((-7038)/1037). Factor 0*d**2 - 2/3*d**3 + 0 - u*d**5 + 23/9*d**4 + 0*d.
-d**3*(d - 3)*(7*d - 2)/9
Let f be (5/(-7))/(72 - (-50661)/(-702)). Solve -27/7*c + f - 3/7*c**2 = 0.
-10, 1
Let a be (32/(-224) + 44/14)*20/30. Factor 1/5*r**3 + 0 + 1/5*r**a - 1/5*r - 1/5*r**4.
-r*(r - 1)**2*(r + 1)/5
Factor -39892/5*g**2 - 36/5*g**4 + 2472/5*g**3 - 44944/5 - 87344/5*g.
-4*(g + 1)**2*(3*g - 106)**2/5
Solve 15660/7*j**3 + 4*j**4 + 2183992/7*j**2 - 224640*j - 89600 = 0.
-280, -2/7, 1
Let -3/5*z**4 + 33/5*z**3 + 0 - 12/5*z**2 - 36*z = 0. What is z?
-2, 0, 3, 10
Let s(d) be the second derivative of d**9/6300 + d**8/1344 + d**7/900 + d**6/3600 - 12*d**4 + 126*d. Let z(i) be the third derivative of s(i). Solve z(c) = 0.
-1, -1/12, 0
Determine s, given that -41070 - 1887/2*s + 48*s**2 - 3/8*s**3 = 0.
-20, 74
Let r be ((-3)/(-2))/((-2)/(696/(-9))). Let s = -56 + r. Factor 2*a**4 - 12*a**2 - 380*a**3 + s*a**4 + 388*a**3.
4*a**2*(a - 1)*(a + 3)
Let y(r) = -r**3 + 5*r**2 + 5475*r - 32810. Let n be y(6). What is z in 1/2*z**n - 2/3 - 7/6*z + 1/6*z