3708*x**2. Factor k(i).
-5*(i - 8)*(i - 1)*(i + 6)/2
Let r be (0 - 2) + 1 - (-128 - 0). Let -323 - 365 + 130*f - 223 - 5*f**2 - r + 193 = 0. Calculate f.
13
Let s(q) be the second derivative of q**4/96 + 77*q**3/24 + 153*q**2/16 + 1460*q. Factor s(f).
(f + 1)*(f + 153)/8
Determine n, given that 20/7*n**2 + 2/7*n**3 - 60/7 + 38/7*n = 0.
-6, -5, 1
Let c = -187 - -189. Factor -210*r**3 - 14*r**2 + 2*r**2 + 222*r**3 + r + c*r.
3*r*(2*r - 1)**2
Let k(c) be the first derivative of -6/11*c**2 + 10/33*c**3 + 1/22*c**4 + 0*c + 216. Factor k(s).
2*s*(s - 1)*(s + 6)/11
Suppose 108*k + 12 = 114*k. Let p(s) be the second derivative of -15*s + 3/10*s**k + 0 + 1/20*s**4 - 1/5*s**3. Determine g, given that p(g) = 0.
1
Let q(g) = -g + 2. Let j(f) = 14*f**2 - f - 8. Let n = -705 + 708. Let d(x) = n*j(x) + 12*q(x). Let d(o) = 0. Calculate o.
0, 5/14
Let m(n) be the second derivative of -7*n**6/3420 + n**5/114 - n**4/76 + 11*n**3/3 + n**2 + 68*n. Let p(u) be the second derivative of m(u). Factor p(o).
-2*(o - 1)*(7*o - 3)/19
Let t = -668 + 664. Let m be 24/t*(306/(-60) + 5). Factor -m*a - 1/5*a**2 + 0.
-a*(a + 3)/5
Let y(l) = 5*l**2 - 55*l - 5. Suppose 32 = -7*f - 9*f. Let x(b) = 3*b**2 - 27*b - 2. Let d(h) = f*y(h) + 5*x(h). What is r in d(r) = 0?
0, 5
Suppose 3*v = -i - 8, 3*i + 15 = 5*v + 47. Find u, given that 0 - 70/3*u**i - 98/3*u**5 - 16/21*u + 12*u**3 + 40/21*u**2 = 0.
-1, -2/7, 0, 2/7
Suppose 5*n - d + 185 = 0, -d - 39 - 156 = 5*n. Let v be 17 + -10 + n/10. What is z in -24*z**3 + 28/5*z**4 + v - 96/5*z + 172/5*z**2 = 0?
2/7, 1, 2
Let g = 3317/28535 - -3/439. Let w(n) be the first derivative of 8/39*n**3 + 4/13*n**2 - 1/39*n**6 - g*n**5 + 5 + 0*n - 3/26*n**4. Find y, given that w(y) = 0.
-2, -1, 0, 1
Let z(a) = -a + 15. Let l be z(13). Factor -91870*o**2 - 4 + 4 + l*o**3 + 91970*o**2.
2*o**2*(o + 50)
Suppose -2*y + 128 = y + 104. Let t(z) be the third derivative of 0*z**3 + 1/8*z**4 + 0 + 0*z + 1/20*z**5 - y*z**2. Determine i so that t(i) = 0.
-1, 0
Let c(l) be the third derivative of -5/6*l**5 + 11/2*l**3 + 0*l + 125/6*l**4 - 10*l**2 + 0 + 1/72*l**6. Let a(o) be the first derivative of c(o). Factor a(v).
5*(v - 10)**2
Solve -16 + 14/3*w - 1/6*w**2 = 0 for w.
4, 24
Let f = 175206/7 - 24499. Let o = -529 + f. Factor 6/7 + o*x + 4/7*x**2.
2*(x + 1)*(2*x + 3)/7
Let p be (-48)/(-120)*(-10)/4. Let m be -186*(-10)/(-140)*p. Let -120/7*n**3 - 30/7*n**2 - 18/7 + 48/7*n**4 + 27/7*n**5 + m*n = 0. Calculate n.
-3, -1, 2/9, 1
Let u(t) be the second derivative of t**5/12 + 425*t**4/36 - 865*t**3/18 + 145*t**2/2 - 7*t - 7. Let u(d) = 0. Calculate d.
-87, 1
Find g, given that -111*g**2 + 423*g**2 + 237*g**2 + 24843 - 3*g**3 - 25389*g = 0.
1, 91
Let n = -103 + 105. Let q(c) = c**2 - 1. Let i(h) = -h + 1. Let g(s) = -2*s**2 + s + 7. Let d(x) = -2*g(x) + 4*i(x). Let v(m) = n*d(m) - 12*q(m). Factor v(w).
-4*(w + 1)*(w + 2)
Let l = 25 - 27. Let a be 2*(-1)/(-2)*l - -17. Let 114*v**3 - 12 - 93*v**3 - a*v + 4*v**2 + 8*v**2 - 6*v = 0. Calculate v.
-1, -4/7, 1
Suppose 655*m + 23359*m**2 - 23393*m**2 - 192 + 120*m + 319*m = 0. What is m?
3/17, 32
Factor 477*x**2 - 2*x**5 - 1266*x**2 + 247*x**2 - 368 + 190*x**3 + 182*x**4 - 404*x - 66*x - 446*x.
-2*(x - 92)*(x - 2)*(x + 1)**3
Let j(k) = -k**3 + 13*k**2 + 11*k + 45. Let y be j(14). Let p be y*(-2)/((-90)/441). Factor p*w**2 + 12/5 - 84/5*w.
3*(7*w - 2)**2/5
Let z(m) be the third derivative of 11*m**5/480 - 19*m**4/32 + 35*m**3/6 + 417*m**2 - 8. Factor z(y).
(y - 4)*(11*y - 70)/8
Let q be 51/(12240/5700) - (-1 - 2 - -20). Let -3/2*k**4 + 3*k**2 - q*k - 3/2 - 27/4*k**5 + 27/2*k**3 = 0. What is k?
-1, -2/9, 1
Let f(l) be the third derivative of l**9/80640 + l**8/4480 + l**7/1344 + l**5 - 6*l**2. Let m(y) be the third derivative of f(y). Solve m(t) = 0 for t.
-5, -1, 0
Let w = -4959/2 + 29287/10. Let d = w - 2218/5. Suppose 10*j + 2/5*j**3 + 24/5 + d*j**2 = 0. Calculate j.
-12, -1
Let n(z) be the first derivative of -1/24*z**6 - 151 + z**2 - 1/4*z**5 + 0*z - 3/8*z**4 + 1/3*z**3. Factor n(v).
-v*(v - 1)*(v + 2)**3/4
Let s = -76 + 78. Suppose -12*g + 17*g**2 + 27 - 5*g**2 - 3*g**s - 72*g = 0. Calculate g.
1/3, 9
Factor -3*p**4 + 37*p**3 - 2*p**2 + 3*p**2 - 65*p - 25*p**3 + 53*p + 2*p**2.
-3*p*(p - 4)*(p - 1)*(p + 1)
Determine r, given that -38/3*r**2 + 4 - 4/3*r**5 + 6*r**3 + 10/3*r**4 + 2/3*r = 0.
-2, -1/2, 1, 3
Let b(z) be the third derivative of -z**6/360 + 31*z**5/180 - 28*z**4/9 - 128*z**3/9 - 9*z**2 + 1. Factor b(k).
-(k - 16)**2*(k + 1)/3
Let k(f) be the second derivative of f**5/70 - 10*f**4/21 + 11*f**3/3 + 242*f**2/7 - 3*f + 375. Solve k(u) = 0 for u.
-2, 11
Let h(g) be the first derivative of -4/3*g**3 + 0*g + 56*g**2 + 198. Suppose h(t) = 0. What is t?
0, 28
Let d = -161 - -111. Let h = 56 + d. Factor h*n - 4*n + n**2 + 2 - 1.
(n + 1)**2
Let d be 1323/126 - ((-2)/(-4))/((-41)/(-820)). Factor -d*a**2 + 1/2*a**3 + 0 - 1/2*a + 1/2*a**4.
a*(a - 1)*(a + 1)**2/2
Factor 52 - 56 - z**3 - 4*z**2 - 77 - 99*z + 2*z**2 - 17*z**2.
-(z + 1)*(z + 9)**2
Let z(g) be the second derivative of g**6/120 + 19*g**5/40 + g**3/3 + g**2 - 5*g - 11. Let q(n) be the second derivative of z(n). Factor q(t).
3*t*(t + 19)
Factor 1/6*p**4 + 832/3 + 92*p**2 - 848/3*p - 31/3*p**3.
(p - 52)*(p - 4)**2*(p - 2)/6
Let t be (-103)/(9785/76) + 4. Factor 0 + 0*w - 1/5*w**3 - t*w**2.
-w**2*(w + 16)/5
Let k(z) be the second derivative of -z**6/150 + z**5/20 - z**4/15 - 3*z + 1281. Solve k(w) = 0 for w.
0, 1, 4
Let c(o) be the first derivative of 14/3*o**3 - 81 - 180*o**2 - 104*o. Factor c(b).
2*(b - 26)*(7*b + 2)
Suppose 45/4*m**2 - 6*m**3 - 11/2*m + 0 + 1/4*m**4 = 0. Calculate m.
0, 1, 22
Let j(o) be the third derivative of o**5/120 + 17*o**4/16 + o**2 - 149*o. Find d such that j(d) = 0.
-51, 0
Determine t, given that -1684/19*t**3 - 2/19*t**4 + 0 + 712336/19*t - 18568*t**2 = 0.
-422, 0, 2
Let w(s) be the second derivative of -s**7/6300 - 11*s**6/225 - 484*s**5/75 - 7*s**4 + 3*s - 4. Let a(d) be the third derivative of w(d). Factor a(f).
-2*(f + 44)**2/5
Let r be (-3 - 18/4)*1*-4. Solve -400*y - r*y**3 + 95*y**2 - 26*y**3 - 500 - 31*y**3 + 82*y**3 = 0.
-1, 10
Let k be ((-1443)/(-74))/(-39)*0. What is d in 4/7*d**4 - 32/7*d**3 + k - 40/7*d - 76/7*d**2 = 0?
-1, 0, 10
Let x = 301 - 303. Let d(y) = 2*y**3 - 18*y**2 - 2*y + 2. Let g(l) = 3*l**3 - 37*l**2 - 5*l + 5. Let a(c) = x*g(c) + 5*d(c). Determine k so that a(k) = 0.
0, 4
Let f(w) be the second derivative of w**8/2856 + w**7/1785 - 23*w**2 - 77*w + 2. Let x(z) be the first derivative of f(z). What is s in x(s) = 0?
-1, 0
Suppose -147 = -196*x + 320 - 75. Solve 0 - 2/3*u + 1/2*u**3 + 1/3*u**4 - 2/3*u**x - 1/6*u**5 = 0.
-1, 0, 2
Let r(g) be the second derivative of 2*g**6/75 + 18*g**5/25 - 101*g**4/5 - 1312*g**3/15 - 672*g**2/5 + 11768*g. What is w in r(w) = 0?
-28, -1, 12
Let g = -614 - -615. Suppose 13 = b - 5*w, 6*b = 5*b + w + 5. Let 3/2*k**b + g - 2*k**2 + k**4 - 3/2*k = 0. Calculate k.
-2, -1, 1/2, 1
Let j = 51 + -36. Suppose -17*n + 6 = -j*n. Find q such that 3*q + 245*q**n - 2 - q**2 + q**2 - 246*q**3 = 0.
-2, 1
Factor -2*q**2 + 0 + 0*q + 1/2*q**3 + 1/4*q**4.
q**2*(q - 2)*(q + 4)/4
Suppose 15 = 3*s + 36636*j - 36633*j, 5*s - 3*j + 15 = 0. Let m be 1/(-3) + (-8)/(-15). Suppose 1/5*l**2 + s*l + m*l**3 + 0 = 0. What is l?
-1, 0
Factor -42/11*y**3 + 0 + 196/11*y**2 - 24/11*y**4 + 0*y - 2/11*y**5.
-2*y**2*(y - 2)*(y + 7)**2/11
Factor 384 + 3/2*d**2 - 771/2*d.
3*(d - 256)*(d - 1)/2
Let c(b) be the first derivative of -2*b**3/25 + 116*b**2/5 + 776*b/25 + 1030. Factor c(g).
-2*(g - 194)*(3*g + 2)/25
Factor -48*m - 168 - 3/2*m**2.
-3*(m + 4)*(m + 28)/2
Let m(d) = -3*d**2 + 27*d - 179. Let y(o) = 4*o**2 - 28*o + 184. Let x(q) = -8*m(q) - 7*y(q). Factor x(k).
-4*(k - 4)*(k + 9)
Let l be (92 + -109 - (-1 + -7)) + 9. Let h(y) be the second derivative of -1/5*y**5 + 0 + l*y**4 + 4*y - 4*y**2 + 2*y**3. Determine u, given that h(u) = 0.
-2, 1
Let x = 316 + -314. Factor 33*n**4 - 4*n**3 - n**3 - x*n**2 - 6*n**5 - 37*n**4 + 5*n**5.
-n**2*(n + 1)**2*(n + 2)
Let s(c) = 3*c**2 + 78*c + 282. Let b(x) be the first derivative of x**2/2 - x - 58. Let o(j) = -18*b(j) + s(j). Find k, given that o(k) = 0.
-10
Let j(n) = 2*n**2 + 2*n + 4. Let q(x) = 9*x**2 - 108*x + 244. Let k(g) = 12*j(g) - 3*q(g). Suppose k(m) = 0. What is m?
2, 114