135 - c**4/54 - 2*c**2 - 26*c - 63. Let o(t) be the second derivative of h(t). Factor o(u).
4*u*(u - 1)*(u + 1)**2/9
Let y(w) = 11*w**3 + 105*w**2 - 51*w - 10. Let f be y(-10). Find s, given that f*s + 3/8*s**2 + 1/8*s**3 + 0 = 0.
-3, 0
Suppose -23*u + 33 = -13. Suppose 0 = -5*n - 20, -x = 2*n - 31. Suppose -18 - 4*m**4 + x*m + m**4 + 2*m**4 + 9*m**3 - 29*m**u = 0. What is m?
1, 2, 3
Let q be (-88)/(-28) - (-4)/(-28). Suppose -4*r + q + 5 = 0. Factor -2/5*m**r + 0 - 4/15*m - 2/15*m**3.
-2*m*(m + 1)*(m + 2)/15
Let s be 160/77 + -2 + 1. Let x = s + -5/7. Factor 0*o - 2/11*o**3 + 0 - x*o**2.
-2*o**2*(o + 2)/11
Factor -2164/11 + 2/11*w**2 + 98*w.
2*(w - 2)*(w + 541)/11
Suppose -1087*f**2 + 833*f**2 + 0 + 2266*f + 2 + 817*f**2 + 1701*f**2 = 0. What is f?
-1, -1/1132
Let p(c) = -15*c - 46. Let g be p(-4). Let -g*d + 34*d - 9*d - 6*d + 6 + d**2 = 0. Calculate d.
-3, -2
Let l(k) be the third derivative of -k**6/600 - 83*k**5/75 + k**4/120 + 166*k**3/15 + 105*k**2 + 3. Determine h, given that l(h) = 0.
-332, -1, 1
Let a(g) be the second derivative of g**7/28 - g**6/60 - 9*g**5/20 - 3*g**4/4 - g**3/12 + 3*g**2/4 + 15*g - 42. Factor a(s).
(s - 3)*(s + 1)**3*(3*s - 1)/2
Let v(z) be the first derivative of z**5/20 - 51*z**4/2 + 10606*z**3/3 - 20604*z**2 + 40804*z + 5668. Factor v(a).
(a - 202)**2*(a - 2)**2/4
Let j(c) be the third derivative of -c**6/420 - c**5/7 - 25*c**4/7 - 1000*c**3/21 - 558*c**2. Solve j(f) = 0.
-10
Suppose -330*i + 324*i = -18. Suppose -4*k + 9*k + i*r - 9 = 0, -3*r - 15 = -3*k. Factor 0 + 12/5*z**2 - 8/5*z**k - 4/5*z**4 + 0*z.
-4*z**2*(z - 1)*(z + 3)/5
Let y(d) be the first derivative of 6*d**5/35 - 85*d**4/7 - 118*d**3/21 + 114*d**2/7 + 444. Solve y(h) = 0 for h.
-1, 0, 2/3, 57
Let q(r) = r**3 - 45*r**2 + 4*r + 4. Let m(l) = 6*l**3 - 315*l**2 + 39*l + 27. Let o(i) = 4*m(i) - 27*q(i). Factor o(w).
-3*w*(w - 1)*(w + 16)
Let v be 4/14 + (-4)/14 - -5. Suppose 2*z - v*z = -12. Let 26*d**3 - z*d**5 - 5*d**2 - 10*d + 25*d**5 + 14*d**5 + 49*d**3 - 95*d**4 = 0. Calculate d.
-2/7, 0, 1
Suppose 2/7*a**2 - 2600/7*a + 845000/7 = 0. Calculate a.
650
Let q = 377045/38 - 19843/2. Suppose 8/19*l**3 - 16/19 - 68/19*l - q*l**2 = 0. What is l?
-2, -1/4, 4
Let -712/3 + 237*u + 1/3*u**2 = 0. What is u?
-712, 1
Let q(u) = 2*u**3 - 82*u**2 + 16*u + 352. Let w(o) = -o**3 + 27*o**2 - 5*o - 117. Let r(n) = 3*q(n) + 8*w(n). Suppose r(j) = 0. Calculate j.
-15, -2, 2
Let t(u) be the second derivative of 0*u**5 - 1/8*u**4 + 0*u**2 + 1/20*u**6 - 1/8*u**3 - 18*u + 1/56*u**7 + 2. Let t(q) = 0. What is q?
-1, 0, 1
Let u = 0 - 16. Let v = u - -18. Suppose -4*i**2 + 4*i**3 + 3*i**2 + 3*i**v = 0. What is i?
-1/2, 0
Suppose -p - 4*m - 9 = 0, 854*p - m = 851*p + 12. Let 2/5*u**4 - 112/5*u + 64/5 - 4*u**p + 72/5*u**2 = 0. What is u?
2, 4
Let x be (-2)/6*(-14)/(-21)*90. Let o be (-9)/x - 42/168. What is d in -1/5*d**2 + 2/5*d - o*d**3 + 0 = 0?
-2, 0, 1
Let u(c) = 24*c + 129. Let z be u(-5). Let t(j) be the second derivative of -1/24*j**4 + 0*j**2 + 0 + 1/80*j**5 - z*j + 0*j**3. Find y such that t(y) = 0.
0, 2
Let k(w) = 391*w**3 + 31297*w**2 + 40778681*w - 40809984. Let m(c) = 168*c**3 + 15648*c**2 + 20389341*c - 20404992. Let v(n) = -3*k(n) + 7*m(n). Solve v(l) = 0.
-2608, 1
Let u be (-7)/(-5) - 33282/(-45). Let n = u - 8145/11. Determine p so that 4/11 - n*p + 2/11*p**2 = 0.
1, 2
Suppose 5*a = -a. Suppose -4*p + 0*p = a. Factor 3*b + 0*b + 0*b**2 + p*b + 4*b**2.
b*(4*b + 3)
Factor -144/7*k**2 + 0*k + 0 - 48/7*k**3 - 4/7*k**4.
-4*k**2*(k + 6)**2/7
Suppose 0 = -9086*j + 9098*j - 36. Let c(d) be the first derivative of 4 + 4*d**2 + 0*d - 4/3*d**j. Let c(y) = 0. What is y?
0, 2
Let d(a) = 19*a**2 + 402*a - 802. Let z(b) = -3*b**2 - 67*b + 134. Let i(s) = -6*d(s) - 39*z(s). Factor i(f).
3*(f - 2)*(f + 69)
Suppose 2160*v - 8399 + 4079 = 0. Solve 32*b + v*b**3 + 166/9*b**2 + 56/9 = 0 for b.
-7, -2, -2/9
Let j(f) be the first derivative of f**5/390 - 5*f**4/156 + 4*f**3/39 - f**2/2 + 104*f + 101. Let h(r) be the second derivative of j(r). Factor h(a).
2*(a - 4)*(a - 1)/13
Suppose -f - 3*p = 5, -125 = 7*f - 2*f - 5*p. Let o be ((-32)/f + -2)/((-2)/10). Factor 2*s**2 + 4*s + 8*s**4 - 4*s**5 + 4*s**2 - 14*s**2 + 0*s**o.
-4*s*(s - 1)**3*(s + 1)
Let h be ((-203)/(-14) + -17)*6/(-40). Let a(b) be the second derivative of -14*b + h*b**3 + 0 + 1/16*b**4 + 3/4*b**2. Factor a(t).
3*(t + 1)*(t + 2)/4
Suppose -1600 = 164*f - 166*f. Suppose 25*i**3 + 416*i**3 + 64*i**3 - f*i + 70*i**4 + 160 + 690*i**2 = 0. Calculate i.
-4, 2/7, 1/2
Let s = 12946 - 12916. Let i(w) be the second derivative of -3/16*w**4 - 3/80*w**5 + s*w + 1/8*w**3 + 0 + 9/8*w**2. Factor i(o).
-3*(o - 1)*(o + 1)*(o + 3)/4
Let m(j) be the third derivative of 5/6*j**3 + 5/3*j**4 + 9*j + 5/42*j**7 - j**2 + 0 + 3/2*j**5 + 2/3*j**6. Solve m(a) = 0 for a.
-1, -1/5
Let h(z) be the second derivative of z**5/450 - z**4/45 + 4*z**3/45 - 7*z**2 - 4*z. Let k(r) be the first derivative of h(r). Factor k(t).
2*(t - 2)**2/15
Let p(b) be the third derivative of -b**7/840 - 383*b**6/480 - 191*b**5/120 - 2*b**2 - 380. Suppose p(w) = 0. Calculate w.
-382, -1, 0
Let d(b) be the second derivative of 0 + 0*b**2 + 1/60*b**6 - 5/24*b**4 + 23*b + 0*b**3 + 1/10*b**5. Factor d(z).
z**2*(z - 1)*(z + 5)/2
Find o, given that -3/7*o**4 + 6/7*o**3 + 129/7*o**2 - 132/7*o - 36 = 0.
-6, -1, 2, 7
Let q(z) = -13*z**4 + 15*z**3 + 6*z**2 - 26*z - 6. Let p(t) = 75*t**4 - 90*t**3 - 35*t**2 + 155*t + 35. Let m(f) = -6*p(f) - 35*q(f). Find o such that m(o) = 0.
-2, 0, 1
Let x(d) be the third derivative of -1/525*d**7 + 0*d - 1/300*d**6 + 1/30*d**5 + 5*d**2 - 1/20*d**4 - 10 + 0*d**3. Factor x(b).
-2*b*(b - 1)**2*(b + 3)/5
Factor -172/7*a**3 + 0*a + 0 - 3698/7*a**2 - 2/7*a**4.
-2*a**2*(a + 43)**2/7
Let g be -7 + (2 - -13) - ((-52)/(-6) - 6). Factor 14/3*u**2 + g*u + 0 - 2/3*u**3.
-2*u*(u - 8)*(u + 1)/3
Suppose -28/15*s**3 + 0*s + 0*s**2 - 2/3*s**4 + 0 + 2/15*s**5 = 0. What is s?
-2, 0, 7
Let h(v) be the second derivative of -v**5/50 + 54*v**4/5 - 323*v**3/15 - 1963*v. Find x such that h(x) = 0.
0, 1, 323
Suppose 123*d - 560 = 14*d - 13*d - 18*d. Determine n, given that 1/7*n**5 + 0 + 12/7*n**2 + 0*n + 4/7*n**3 - n**d = 0.
-1, 0, 2, 6
Factor -8/3*f**4 - 125/6*f - 100/3*f**2 - 1/6*f**5 + 0 - 15*f**3.
-f*(f + 1)*(f + 5)**3/6
Let h be 6/21*(12 - -2). Solve 4*t**5 - 7*t**5 + 4*t**5 + 0*t**h + t**4 = 0 for t.
-1, 0
Let v(k) be the first derivative of k**4/10 + 562*k**3/15 - 566*k**2/5 - 2255. Factor v(z).
2*z*(z - 2)*(z + 283)/5
Let h(t) be the second derivative of t**4/28 - 1361*t**3/14 + 4077*t**2/7 + 8*t - 353. What is m in h(m) = 0?
2, 1359
Solve -1/3*l**2 - 218/3*l - 11881/3 = 0 for l.
-109
Factor 2/5*x**3 + 5244/5*x**2 + 4583256/5*x + 1335255248/5.
2*(x + 874)**3/5
Let g(k) be the first derivative of -k**4/6 + 2258*k**3/9 - 318095*k**2/3 - 638450*k/3 - 1760. Factor g(u).
-2*(u - 565)**2*(u + 1)/3
Let y be (-826)/66 + (51 - 47). Let r = -90/11 - y. Factor -2*m**2 - 4/3 - r*m**3 - 3*m.
-(m + 1)**2*(m + 4)/3
Let a(x) be the second derivative of x**4/30 + 20*x**3 + 299*x**2/5 - 2*x - 589. Factor a(n).
2*(n + 1)*(n + 299)/5
Let v(r) be the second derivative of r**7/42 - 281*r**6/30 + 279*r**5/20 + 281*r**4/12 - 140*r**3/3 + 1625*r. Factor v(x).
x*(x - 280)*(x - 1)**2*(x + 1)
Suppose 10*x + 246 = 3016. Let c = x - 1384/5. Solve 0 - 1/5*s**2 - c*s**3 + 0*s = 0.
-1, 0
Let o(n) be the third derivative of n**5/540 - 13*n**4/108 + 169*n**3/54 - 2*n**2 + 1354*n. Let o(t) = 0. Calculate t.
13
Let p(u) = 33*u**2 - 6*u + 33. Let l(c) = -1274*c**2 + 5 + c - 6 + 1272*c**2. Let o(d) = -18*l(d) - p(d). Solve o(f) = 0 for f.
-1, 5
Suppose -4*p = -5*g + 7, -3*g + 21 = 5*p + 2. Suppose 1236*r**3 - 2*r**5 - 40*r**2 - 24*r**4 + 1224*r**g + 64 - 2530*r**3 + 72*r = 0. What is r?
-8, -2, -1, 1
Let k(x) be the second derivative of -x**4/20 - 533*x**3/10 + 321*x**2 + 8927*x. Suppose k(j) = 0. What is j?
-535, 2
Let p = 30 - 25. Let d be (-6 + p - -5) + 1/(-1). Find m such that -8*m**2 + 12*m**d + 8*m**4 - 14*m**2 - 4*m**5 - 16*m + 6*m**2 = 0.
-1, 0, 2
Let s(q) = -q - 2. Let k(x) = x**3 - 29*x**2 - 56*x - 21. Let p(r) = k(r) + 5*s(r). Solve p(j) = 0.
-1, 31
Let t(p) be the second derivative of -7*p**6/165 + 3*p**5/11 - p**4/66 - 10*p**3/11 + 8*p**2/11 + 132*p. Find u, given that t(u) = 0.
-1, 2/