) be the second derivative of d(n). Factor z(x).
x**2*(x - 1)*(x + 1)/4
Let y(o) = -37*o**2 - 24*o - 32*o**3 - 4*o**3 + 16 - 3*o**4 - 3*o**4 - 25*o**2. Let i(j) = j**3 + j**2. Let m(x) = 2*i(x) + y(x). Let m(s) = 0. Calculate s.
-2, 1/3
Let n(a) be the second derivative of 24*a**2 + 79*a - 46/3*a**3 + 10/3*a**4 + 0 + 1/5*a**5. Find c, given that n(c) = 0.
-12, 1
Let f(c) = 33*c**2 + 297*c - 10658. Let o(p) = 20*p**2 + 149*p - 5329. Let m(y) = 3*f(y) - 5*o(y). Solve m(r) = 0.
73
Let u(n) be the second derivative of -7*n**4/72 - 19*n**3/12 - 1037*n. Factor u(s).
-s*(7*s + 57)/6
Let u(y) = 4*y**3 - 361*y**2 + 2301*y - 25. Let t(g) = 2*g**3 - 181*g**2 + 1151*g - 15. Let k(z) = 5*t(z) - 3*u(z). Factor k(m).
-2*m*(m - 82)*(m - 7)
Let j(t) = -2504*t + 32554. Let o be j(13). Let -2/3 + 2*q**4 - 2/3*q**5 - 4/3*q**3 - 4/3*q**2 + o*q = 0. What is q?
-1, 1
Let t = 23460/781 + -1810/71. Determine w so that 336/11*w + t*w**2 + 288/11 + 2/11*w**3 = 0.
-12, -1
Let m(l) be the first derivative of -l**4/8 - 29*l**3/6 + 35*l**2/2 + 124*l - 8714. Factor m(g).
-(g - 4)*(g + 2)*(g + 31)/2
Factor -9*f**2 + 22*f**2 + 1588*f - 12*f**2 + 1887 + 300*f.
(f + 1)*(f + 1887)
Let u(g) = 2150*g**3 + 2615*g**2 - 2215*g - 2880. Let a(b) = -239*b**3 - 291*b**2 + 246*b + 320. Let d(j) = -55*a(j) - 6*u(j). Let d(z) = 0. What is z?
-8/7, 1
Suppose -2*t - 4*r + 52 = 0, -4*r = -2*t - 1 + 61. Suppose -7*h - t = -42. Factor 3/4*y**h + 0 + 3/8*y**4 - 9/8*y**3 + 0*y.
3*y**2*(y - 2)*(y - 1)/8
Let -124 - 16*m**2 - 84*m + 3 + 13*m**2 - 275 = 0. What is m?
-22, -6
What is b in 9*b**2 - 49*b - 57*b**2 + 12*b**3 - 12 - 6*b**3 - 17*b**3 = 0?
-3, -1, -4/11
Let b(z) be the third derivative of 961*z**6/60 - 403*z**5/6 + 251*z**4/16 - 3*z**3/2 - z**2 - 23*z - 5. Factor b(f).
(f - 2)*(62*f - 3)**2/2
Let q(k) = -k**2 - 10*k + 33. Let h be q(-11). Suppose 18 + h = 8*j. Factor -52 + j*n + 52 - 7*n + 2*n**2.
2*n*(n - 1)
Determine b so that 419*b - b**2 - 2*b**2 - 120*b + 54*b + 244*b = 0.
0, 199
Suppose 0 = 4*p - 40, -1140*p - 40 = 2*l - 1145*p. Solve -34/5*f**4 + 0*f - 8/5*f**l - 32/5*f**3 - 6/5*f**2 + 0 = 0.
-3, -1, -1/4, 0
Let f(g) be the third derivative of g**5/120 - 46*g**4/3 + 33856*g**3/3 + 79*g**2 - g. Let f(y) = 0. What is y?
368
Let h(b) be the first derivative of -b**4/26 + 8*b**3/3 - 420*b**2/13 - 14400*b/13 + 8503. Solve h(a) = 0 for a.
-8, 30
Let 4/5*i**3 + 3328/5 - 12/5*i**2 - 576/5*i = 0. What is i?
-13, 8
Let k be 6/(-18) + (-12 - (-73315)/66). Find y such that -19*y**3 + 1/2*y**4 + 234*y**2 - k - 845*y = 0.
-1, 13
Let a(d) = -2*d - 33. Let n be a(-19). Suppose k + 2*k = -4*i, n*i - 3*k - 27 = 0. Factor 32*p**2 + 2*p**4 - 8*p**3 - p**i - 7*p**3.
2*p**2*(p - 4)**2
Let 42 + 9/7*k**4 + 657/7*k**2 - 141/7*k**3 - 117*k = 0. Calculate k.
2/3, 1, 7
Let y = -6770 - -6770. Let j(v) be the first derivative of y*v + 5*v**2 + 5*v**3 + 5/4*v**4 + 21. Solve j(t) = 0.
-2, -1, 0
Factor 0 - 1/5*n**2 + 0*n + 1/5*n**3.
n**2*(n - 1)/5
Factor -12/13*a + 64/13 - 22/13*a**2.
-2*(a + 2)*(11*a - 16)/13
Let a(j) be the second derivative of j**4/30 - 9*j**3/5 - 198*j**2/5 - 3*j + 27. Factor a(m).
2*(m - 33)*(m + 6)/5
Let i(g) = -g**3 - 10*g**2 - 18*g - 13. Let h be i(-8). Determine t so that -12*t**2 + 134*t**3 - 138*t**h - 20*t - 4*t**5 + 28*t + 12*t**4 = 0.
-1, 0, 1, 2
Suppose 102 = 7*y - 150. Let u be (y/(-15) - -2) + (-58)/(-45). Solve 8/9*v**3 - u*v + 4/9*v**4 + 0*v**2 - 4/9 = 0.
-1, 1
Let f(i) be the third derivative of -5*i**8/1008 - 2*i**7/7 + 29*i**6/18 - 7*i**5/6 - 575*i**4/72 + 65*i**3/3 + 6*i**2 - 30*i. Find a such that f(a) = 0.
-39, -1, 1, 2
Let u = 252779 - 1263893/5. Find c, given that 8/5*c - 8/5*c**2 + 0 - 2/5*c**3 + u*c**4 = 0.
-2, 0, 1, 2
Let a(b) be the third derivative of b**7/7560 + 11*b**6/2160 - 7*b**4/3 - b**3/6 - b**2 + 22. Let x(u) be the second derivative of a(u). Factor x(l).
l*(l + 11)/3
Let a(u) = 56*u**2 - 785*u + 16. Let h be a(14). Let 0 - 20*c - 5/3*c**h = 0. What is c?
-12, 0
Let z be (-1 - 12/(-10)) + 70/25. Let v(j) be the second derivative of j**2 - j**3 - 9*j + 154*j**4 - 130*j**4 - 7*j**z. Let v(p) = 0. What is p?
1/12
Let u be (-2)/(-3 - 75/(-27)) + -5. Suppose 15*f**u + 18*f**3 - 6 - 12*f**5 - 69*f**2 + 34*f + 5*f + 15*f**3 + 0*f**3 = 0. Calculate f.
-2, 1/4, 1
Let f be 30/(-195) + (144/(-264) - 2103/1287 - -3). Find v, given that -2/3*v**3 - f*v**4 + 82/3*v + 40/3 + 14*v**2 = 0.
-4, -1, 5
Let v(a) be the first derivative of -a**4 - 1152*a**3 - 497664*a**2 - 95551488*a + 757. Find s, given that v(s) = 0.
-288
Let f(z) be the first derivative of z**8/7560 + z**3/3 + 17*z**2/2 + 15. Let h(m) be the third derivative of f(m). Factor h(d).
2*d**4/9
Solve 950/9*o + 2/9*o**3 + 236/3 + 244/9*o**2 = 0.
-118, -3, -1
Let r(x) be the second derivative of x**4/8 - 69*x**3/4 + 201*x**2/2 - 7873*x. Solve r(f) = 0.
2, 67
What is r in -14*r**3 - 384/5*r**2 + 2/5*r**4 + 21632/5 + 4264*r = 0?
-16, -1, 26
Let j(z) be the first derivative of -3*z**4/8 - 2760*z**3 - 7617600*z**2 - 9344256000*z + 4802. Factor j(u).
-3*(u + 1840)**3/2
Let n = 42030 - 42028. Solve -5/3 + 5/6*b + 5/6*b**n = 0.
-2, 1
Let i(n) be the third derivative of n**6/900 - 3*n**5/10 + 135*n**4/4 + 127*n**3/3 + 125*n**2. Let h(v) be the first derivative of i(v). Factor h(t).
2*(t - 45)**2/5
Let d = 94201 - 94199. Find g such that -16*g**d - 2/3*g**4 - 20/3*g**3 + 50/3 + 20/3*g = 0.
-5, -1, 1
Let u(w) be the first derivative of w**4/6 - 218*w**3/3 + 8856*w**2 + 53792*w/3 + 1072. Factor u(l).
2*(l - 164)**2*(l + 1)/3
Let f = 1019/54 - 433/27. Factor -f*b - 2 - 1/6*b**4 + 1/6*b**2 + 5/6*b**3.
-(b - 4)*(b - 3)*(b + 1)**2/6
Suppose -8*l + 0*l = -21*l + 143. Let q(o) be the second derivative of 0 + 2/3*o**7 + 4*o**2 + 4*o**6 + l*o + 10*o**5 + 10*o**3 + 40/3*o**4. Factor q(r).
4*(r + 1)**4*(7*r + 2)
Let c = 125354/8789 + 226/799. Suppose -3200/11 - 2/11*o**2 + c*o = 0. What is o?
40
Let d(x) be the second derivative of 0*x**2 + 3/4*x**5 - 31 + x + 25/6*x**3 + 1/6*x**6 - 15/4*x**4. Factor d(p).
5*p*(p - 1)**2*(p + 5)
Let d(t) be the third derivative of -25/16*t**4 + 0*t - 3*t**3 + t**2 - 23/80*t**5 + 10 - 3/160*t**6. Let d(j) = 0. Calculate j.
-4, -3, -2/3
Suppose -28182 = -4*k + 2*o + 41808, -k + 17497 = -o. Factor 9*z**2 - 6918 + 165*z + k - 4*z**2 + 295*z.
5*(z + 46)**2
Let i = -141/65 + 43789/260. Let z = -166 + i. What is q in 1/4*q**3 + 1/4*q**2 - 1/4*q - z = 0?
-1, 1
Let q(b) be the first derivative of 3*b**4/4 + 265*b**3 - 1611*b**2/2 - 2403*b + 7494. Suppose q(i) = 0. Calculate i.
-267, -1, 3
Let w(q) = -29*q - 126. Let n be w(-4). Let p(y) = -3*y**2 - 3*y - 10. Let u(c) = 7*c**2 + 3*c + 21. Let g(x) = n*p(x) - 4*u(x). Let g(f) = 0. Calculate f.
-8, -1
Suppose -1024/7 - 2/7*y**2 - 516/7*y = 0. What is y?
-256, -2
Let v(w) = w**3 - 8*w**2 - 46*w - 27. Let i be v(13). Let b be (-10)/8 - (-627)/i. Factor -s**2 - 4/5 + 1/5*s**3 + b*s.
(s - 2)**2*(s - 1)/5
Suppose -4*y + 5*c = -52, 25*c - 20*c = -20. Factor -52*u - 32*u**4 + 16*u**5 + 24 + 0*u**4 + 48*u**3 + y*u**2 - 12*u**5.
4*(u - 6)*(u - 1)**3*(u + 1)
Let g(k) be the third derivative of -1/450*k**5 + 1/180*k**4 + 0 + 0*k - 67*k**2 + 2/45*k**3. Factor g(q).
-2*(q - 2)*(q + 1)/15
Let h = 186 + -174. Determine x, given that 205*x**4 - 104*x**4 - 2*x - 2*x**2 + 16*x**2 - 103*x**4 - h + 2*x**3 = 0.
-2, -1, 1, 3
Let f(b) = b**3 - 18*b**2 + 33*b - 14. Let y be f(16). Factor 69*s - 31*s**y - 96 + 188 - 94 - 29*s**2 - 7*s**2.
-(s - 1)*(67*s - 2)
Let s = 19187 + -5276419/275. Let f = 324/275 + s. Find j, given that 0 - 4/5*j**2 + f*j - 2/5*j**3 = 0.
-3, 0, 1
Suppose -a - a + 165*a**3 + 2*a - 5*a**5 - 310*a**2 + 131*a**4 + 19*a**4 = 0. Calculate a.
-2, 0, 1, 31
Let z(l) be the second derivative of -1/2*l**5 + 1/2*l**6 + 0*l**2 - 4*l + 20/3*l**3 + 6 - 5*l**4. Factor z(j).
5*j*(j - 2)*(j + 2)*(3*j - 2)
Let -648 - 243*j - 27*j**2 - 3/4*j**3 = 0. Calculate j.
-24, -6
Let c(m) be the third derivative of 0 - 1/160*m**6 + 0*m - 72*m**2 + 0*m**4 - 1/24*m**5 + 0*m**3 + 1/840*m**7. Factor c(o).
o**2*(o - 5)*(o + 2)/4
Let k(w) be the first derivative of w**4 - 208*w**3 + 5640*w**2 - 54400*w + 1945. Factor k(i).
4*(i - 136)*(i - 10)**2
Let y(x) be the third derivative of x**5/60 + 3*x**4 + 3*x**2 - 29*x. Determine i so that y(i) = 0.
-72, 0
Let t(h) = -h**3 + 6*h**2 + 27*h + 8. Let v be t(9)