 13)*(o + 3)/8
Let o(v) be the first derivative of 4*v**3/3 + 348*v**2 + 4829. Suppose o(w) = 0. What is w?
-174, 0
Determine t, given that -2550/13*t + 2/13*t**3 + 3852/13 + 32*t**2 = 0.
-214, 3
Suppose -4*m = w - m - 11, -13 = -3*w - 4*m. Let n(y) = -2*y**2 + 86*y - 970. Let o(b) = -b - 1. Let a(s) = w*n(s) + 2*o(s). Factor a(u).
2*(u - 22)**2
Suppose -5*d - 23 = g, -8*g + 5*g + 3*d + 21 = 0. Factor -58*n**2 + 18*n**2 - 12*n**4 + n**5 + 20*n**2 + 18 + 2*n**5 + 33*n + 14*n**g - 36*n**3.
3*(n - 6)*(n - 1)*(n + 1)**3
Solve 170 + 25*v**3 + v**4 + 96*v**2 - 70*v - 123*v - 120*v + 21*v**2 = 0.
-17, -10, 1
Let i(w) be the second derivative of w**4/3 - 240*w**3 - 722*w**2 - 33*w - 26. Factor i(m).
4*(m - 361)*(m + 1)
Suppose -4*w = -3*s + 70, 5*w = 7*w + 5*s + 22. Let m be w/(-24)*(-1)/(-2). Factor m*t**5 + 2/3*t**4 - 2/3*t**2 + 0*t + 0 - 1/3*t**3.
t**2*(t - 1)*(t + 1)*(t + 2)/3
Let k(y) be the first derivative of 5/3*y**3 + 15*y + 5/4*y**4 + 56 - 25/2*y**2. Factor k(a).
5*(a - 1)**2*(a + 3)
Let z be 0 + (-16)/6*30/(-20). Find h such that 168*h**2 - 928*h - 54*h**3 - 2*h**3 + 428 + 264*h**2 - 4*h**z + 212 = 0.
-20, 2
Factor 5/2*b**3 - 335*b - 360 + 55/2*b**2.
5*(b - 8)*(b + 1)*(b + 18)/2
Factor 0 - 113*x + 340/3*x**2 - 1/3*x**3.
-x*(x - 339)*(x - 1)/3
Let u(w) be the first derivative of 0*w + 10/3*w**3 + 82 + 2*w**2 - 6*w**4. Let u(s) = 0. Calculate s.
-1/4, 0, 2/3
Let c(g) be the third derivative of g**6/1620 - 67*g**5/540 - 17*g**4/27 - 5*g**3/6 + 152*g**2. Let x(j) be the first derivative of c(j). Factor x(l).
2*(l - 68)*(l + 1)/9
Suppose 2*r + h + 14 = 31, 2*r = -4*h + 14. Suppose 3*w + 18 = r*w. Factor -3*c - 3/4*c**2 - w.
-3*(c + 2)**2/4
Let z(l) be the third derivative of l**7/1440 + l**6/288 - 37*l**4/3 + 204*l**2 + 1. Let h(k) be the second derivative of z(k). Let h(r) = 0. What is r?
-10/7, 0
Suppose 12*c - 21/2 + 3/8*c**3 - 33/8*c**2 = 0. Calculate c.
2, 7
Let g(u) = 478*u**2 + 21*u + 57. Let k be g(-6). Factor -27 + 99 + 142*l - 2*l**3 + k*l**2 - 17071*l**2.
-2*(l - 36)*(l + 1)**2
Factor -2709316/5 - 4/5*l**2 + 6584/5*l.
-4*(l - 823)**2/5
Let o(n) = 3472*n + 135411. Let t be o(-39). Let -1/5*k**t - 3/5*k**2 - 1/5 - 3/5*k = 0. What is k?
-1
Let g be ((740/6)/(-10))/((-2)/6). Suppose -2*s + g = -2*c + 3*c, 4*c = -s + 8. Factor -446 + s*u**2 - 5*u + 446 + 10*u**4 - 25*u**3.
5*u*(u - 1)**2*(2*u - 1)
Let z(o) be the second derivative of o**4/20 - o**3/2 - 54*o**2/5 - 133*o - 3. Factor z(r).
3*(r - 9)*(r + 4)/5
Let p(i) = -20*i**3 - 218*i**2 + 22*i + 5. Let h be p(-11). Let u = 481/2 - 233. Determine s so that h*s + 5/2*s**3 + 0 + u*s**2 = 0.
-2, -1, 0
Let p(b) be the third derivative of 0 + 0*b - 7/36*b**4 - 1/315*b**7 - 2/3*b**3 + 1/60*b**6 + 1/30*b**5 + 98*b**2. Solve p(r) = 0.
-1, 2, 3
Find w, given that 12/5*w**3 - 24/5 - 8/5*w + 2/5*w**4 + 18/5*w**2 = 0.
-3, -2, 1
Determine f, given that -13549*f**4 + f - 684*f**4 - 5*f**5 + 6133*f**4 - f - 3280500*f**3 = 0.
-810, 0
Let u(c) be the first derivative of 2*c**5/45 - c**4/6 - 22*c**3/9 + 35*c**2/9 + 920. Solve u(s) = 0.
-5, 0, 1, 7
Let y be -227 + (-10)/40*-28. Let i = y - -220. Factor -2/9*w - 2/9*w**2 + i.
-2*w*(w + 1)/9
Let c(x) be the third derivative of -14/75*x**6 - 12*x + 2/15*x**4 - 1/420*x**8 + 0 + 47/150*x**5 - 16/15*x**3 + 19/525*x**7 - 2*x**2. Solve c(t) = 0.
-1/2, 1, 4
Let z = 235593/4 - 1649147/28. Solve 0 - z*f**4 + 1/7*f**2 - 2/7*f + 2/7*f**3 = 0.
-1, 0, 1, 2
Let j be (-31 + 11500/368)*(-1)/(-1). Factor -11*v + 0 + j*v**2.
v*(v - 44)/4
Suppose 17 + 7 = 2*c + 4*l, 19 = 2*c + 3*l. Let r = 216 - 1072/5. Factor r*k + k**c + 3/5.
(k + 1)*(5*k + 3)/5
Let u(i) = -134*i**2 + 44*i + 26. Let q(b) = 15*b**2 - 5*b - 3. Suppose 0*l - 208 = 4*l. Let a = 77 + -83. Let w(d) = a*u(d) + l*q(d). What is o in w(o) = 0?
0, 1/6
Let z be (-4)/(-8)*(-172)/66. Let p = 40/11 + z. Let 2/3*v - 4/3*v**5 + 2/3*v**3 + p*v**4 + 1/3 - 8/3*v**2 = 0. Calculate v.
-1, -1/4, 1
Let u(n) be the first derivative of -12*n**4 + 15*n**3 + 99*n**2/2 + 6*n + 1574. Solve u(q) = 0 for q.
-1, -1/16, 2
Let d(j) be the second derivative of j**4/18 + 23*j**3/3 - 616*j**2/3 - 7*j - 60. Factor d(l).
2*(l - 8)*(l + 77)/3
Factor -w**5 + 801419*w**2 + 17*w**3 - 400713*w**2 - 400721*w**2 - w**4.
-w**2*(w - 3)*(w - 1)*(w + 5)
Let z be -5 - -10 - (2 + 0). Find s, given that s**z + 54679*s - 54677*s - 2*s**3 - s**2 = 0.
-2, 0, 1
Factor -147/4*g - 3/4*g**2 - 897/2.
-3*(g + 23)*(g + 26)/4
Suppose 4*c = 11 - 7. Let h be (0 - c) + -1*(-8 - 0). Let 43*l - 46*l + h*l**3 - 10*l**3 + 6*l**2 = 0. Calculate l.
0, 1
What is z in 410/3*z + 42025/3 + 1/3*z**2 = 0?
-205
Let m(p) = 9*p**4 - 2*p**3 + 7*p**2 - 9*p - 5. Let j(o) = -4*o + 2*o**2 - 118*o**3 + 4*o**4 - 2 + 116*o**3 + 2*o**2. Let k(b) = -5*j(b) + 2*m(b). Factor k(i).
-2*i*(i - 1)**3
Determine a so that 3113303 - 9798*a - a**2 - 3*a**2 - 11113370 + 2*a**2 - a**2 = 0.
-1633
Let s(h) be the third derivative of h**9/7560 - h**8/336 + h**7/140 - 79*h**4/24 - 3*h**2 + 33. Let q(v) be the second derivative of s(v). Factor q(a).
2*a**2*(a - 9)*(a - 1)
Let r(t) be the third derivative of -t**5/90 + 113*t**4/4 - 2030*t**3/9 - 3*t**2 - 2*t - 44. Determine c, given that r(c) = 0.
2, 1015
Let r be 11/(-33) + 30/92. Let h = r - -35/69. Factor 0 + 1/2*p**3 - 1/2*p + 1/2*p**4 - h*p**2.
p*(p - 1)*(p + 1)**2/2
Let x = -7213 - -7218. Let p(f) be the second derivative of -3/5*f**x + 2*f**2 - 20*f + 0 - 5/3*f**4 - 2/3*f**3. Suppose p(j) = 0. What is j?
-1, 1/3
Let a be 4/(-26) + 4*60/208. Suppose a = -8*w + 25. Factor 15*t + 2*t**w + 25 - 5*t**2 - 4*t**2 + 0*t**3 - t**3.
(t - 5)**2*(t + 1)
Let r(t) = -2*t - 29. Let g be r(-16). Factor -3*i**2 - 12*i + 21*i**3 + 23*i**3 + g*i**4 + 17*i**3 - 49*i**3.
3*i*(i - 1)*(i + 1)*(i + 4)
Let n(x) be the third derivative of x**7/560 + 7*x**6/960 - x**5/240 - x**4/24 - 93*x**2. Find t such that n(t) = 0.
-2, -4/3, 0, 1
Determine d so that 642 - 3/4*d**3 + 315/2*d**2 + 639*d = 0.
-2, 214
Suppose -53*t - 443*t - 243*t = -44*t. Determine u, given that -6/5*u**4 + 6/5*u**3 + 2/5*u**5 + t*u - 2/5*u**2 + 0 = 0.
0, 1
Let w be 912/20 + (-15)/25. Factor 0*b**4 + 6*b**3 + 33*b**2 + 3*b**4 - w*b**2 + 9 - 6*b.
3*(b - 1)**2*(b + 1)*(b + 3)
Suppose 272 + 412 - 54 = 210*i. Let y(g) be the second derivative of -5/24*g**4 - 34*g - 3/4*g**2 - 7/12*g**i + 2 - 1/40*g**5. Factor y(n).
-(n + 1)**2*(n + 3)/2
Let t(x) = -2*x**2 + 30*x + 3334. Let c be t(49). Factor 9/2*d - 3/2*d**c + 0.
-3*d*(d - 3)/2
Let w be 2/3 - (-112)/(-42). Let q be 3/(-1)*(-1 + -2 - w). Factor -28*l**q - 5*l**2 - 2*l**4 + 43*l**3 - 5*l**2 - 3*l**4.
-5*l**2*(l - 2)*(l - 1)
Let z be (-3)/(-7) + ((-150)/(-42) - 2). Let q(x) be the second derivative of 23*x + 1/5*x**z - 1/30*x**3 + 1/100*x**5 - 1/30*x**4 + 0. Factor q(s).
(s - 2)*(s - 1)*(s + 1)/5
Let t = 351 + -346. Suppose -3*q + 12 = 5*w, t*q + 18 = -w + 38. Factor 0*u**3 - 2/13*u**4 + 0 + 2/13*u**2 + w*u.
-2*u**2*(u - 1)*(u + 1)/13
Let b(n) = 2*n**3 + 4*n**2 + 6*n. Let f(y) = y**3. Let w be (2/3*1)/(2/(-3)). Let v(l) = w*b(l) + 4*f(l). Let v(p) = 0. What is p?
-1, 0, 3
Suppose 27*q - 17 = 91. Suppose -q*m - 2*m - 5*m = 0. What is o in 2/9*o**4 + 2/3*o**3 + 0 - 8/9*o**2 + m*o = 0?
-4, 0, 1
Factor 11*l**3 - 85135119*l + 264*l**2 + 10*l**3 + 85135362*l.
3*l*(l + 1)*(7*l + 81)
Find y such that 4/3*y**4 + 328/3*y**2 - 672 - 16*y - 68/3*y**3 = 0.
-2, 6, 7
Let u(w) = 3*w**5 - 108*w**4 - 1239*w**3 - 5148*w**2 - 8808*w - 5400. Let s(h) = -h**5 - 2*h**3 - h**2 - 2*h. Let x(o) = 6*s(o) + u(o). Factor x(c).
-3*(c + 2)**3*(c + 15)**2
Let v(k) be the first derivative of -5/4*k**4 - 5/3*k**3 + 5*k + 5/2*k**2 - 252. Factor v(z).
-5*(z - 1)*(z + 1)**2
Let k(s) be the first derivative of s**4/6 + 5102*s**3/3 + 6507601*s**2 + 33201780302*s/3 - 11378. Suppose k(m) = 0. Calculate m.
-2551
Suppose -5*k - 3 = 17, -n = -4*k - 197. Let v = n - 361/2. Let -5/4*l**2 + 1/4 - v*l + 3/2*l**3 = 0. Calculate l.
-1/2, 1/3, 1
Let w(m) be the second derivative of -m**4/12 - 47*m**3/6 + 159*m**2 + 1309*m. Factor w(o).
-(o - 6)*(o + 53)
Let a(s) be the first derivative of -s**5/40 - 9*s**4 - 1296*s**3 - 93312*s**2 + 160*s - 112. Let x(p) be the first derivative of a(p). Factor x(n).
-(n + 72)**3/2
Determine m so that -68/3*m - 2/3*m**2 + 70/3 = 0.
-35, 1
Let a(r) = -8*r**4 + 50*r**3 + 192*r**2 + 2*r - 290