95. Determine g, given that 5*g**2 + 516*g - 4*g**2 + 1849 - p*g - 170*g = 0.
-43
Let g be (((-567)/420)/((-6)/10))/((-22 - -23)/2). Suppose -1/4*n**2 + g + 7/4*n = 0. Calculate n.
-2, 9
Let q(j) = 42*j**2 + 16330*j + 33292795. Let l(b) = 76*b**2 + 32658*b + 66585591. Let a(x) = 5*l(x) - 9*q(x). Let a(g) = 0. Calculate g.
-4080
Let f = 4283 + -4258. Let d(z) be the second derivative of 0*z**2 + f*z + 0*z**3 - 1/8*z**4 + 0 - 1/10*z**5. What is c in d(c) = 0?
-3/4, 0
Let 5600*d - 738 + 1160*d**3 - 361 - 1450*d**2 - 1333 - 2828*d**2 - 50*d**4 = 0. Calculate d.
1, 8/5, 19
Let b = 82158 - 410768/5. Determine g, given that -16/5 - 24/5*g + 2/5*g**5 + 4/5*g**2 + b*g**3 + 12/5*g**4 = 0.
-2, -1, 1
Determine o so that 262/3*o + 84 + 8/3*o**2 - 2/3*o**3 = 0.
-9, -1, 14
Suppose 7*r - 10*r = 201. Let t = r - -74. Let -4*s**5 + 20*s**2 + s - 28*s**4 + 48*s**4 - 24*s**4 + t*s + 12*s**3 = 0. Calculate s.
-1, 0, 2
Factor 399*p**2 + 377873 - 338272 - 3*p**3 + 2*p**3 - 39999*p.
-(p - 199)**2*(p - 1)
Factor 5220*u + 4/5*u**3 + 181656/5 - 672/5*u**2.
4*(u - 87)**2*(u + 6)/5
Let w = -1507 + 1517. Let b be 957/135 - (w/(-9) - -1). Factor 44/5 + 4/5*y**3 - 84/5*y + b*y**2.
4*(y - 1)**2*(y + 11)/5
Let f(t) be the second derivative of 35/3*t**3 + 26 + 65/2*t**2 + 5/12*t**4 - 3*t. Factor f(c).
5*(c + 1)*(c + 13)
Let u be (4/3)/((-104)/(-1638)*84). Let u*r**3 - 1 - 1/2*r**2 - 7/4*r = 0. What is r?
-1, 4
Let h(c) = -741*c + 8153. Let u be h(11). Find x, given that -5/2*x**4 + 20*x + 0 - 5*x**u - 25/2*x**3 = 0.
-4, -2, 0, 1
Suppose -38*q - 665 = -3*q. Let o be (-90)/(-21) - 4 - q/7. Find y such that -1/3 - y**2 + 1/3*y**o + y = 0.
1
Let v = 181/1362 - -365/4086. Solve v*g**2 - 2 + 0*g = 0.
-3, 3
Let v(f) be the first derivative of f**6/2 - 3*f**5 + 3*f**4 - 1385. Suppose v(l) = 0. What is l?
0, 1, 4
Let x(s) = -114*s**2 + 36161*s - 2613667. Let k(p) = 23*p**2 - 7232*p + 522733. Let h(b) = -11*k(b) - 2*x(b). Factor h(d).
-(5*d - 723)**2
Let n = 111 + -109. Let -n*k**5 - 3*k**2 - k**2 - 8*k**4 - 8*k + 24*k**3 + 8*k + 12 - 22*k = 0. What is k?
-6, -1, 1
Let d(z) be the third derivative of z**5/30 + 511*z**4/6 - 341*z**3 + 46*z**2 + 17. Factor d(f).
2*(f - 1)*(f + 1023)
Let n(g) be the first derivative of -2/25*g**5 + 1/15*g**6 + 32 + 0*g**2 + 0*g - 2/5*g**3 - 1/2*g**4. Let n(w) = 0. What is w?
-1, 0, 3
Let p = 407/39 - 2693/273. Factor 160/7*j + p*j**2 + 1600/7.
4*(j + 20)**2/7
Let d(y) be the third derivative of y**8/336 - y**7/70 - y**6/120 + y**5/20 - y**2 + 236. Factor d(m).
m**2*(m - 3)*(m - 1)*(m + 1)
Let w = 12 + -10. Suppose 5*u - 7*u = -4, -14 = -w*g - 5*u. Determine d, given that -9*d**3 + 4*d**g + 14*d**3 + 6 - 4 - 9*d - 10*d**2 = 0.
-1, 1/5, 2
Let a(q) = -26*q**4 - 88*q**3 - 100*q**2 - 8*q + 6. Let l(n) = -2*n**4 - n**2 + 2*n + 1. Let j(v) = a(v) - 6*l(v). Factor j(b).
-2*b*(b + 1)*(b + 5)*(7*b + 2)
Let t(w) be the second derivative of 3*w - 16/5*w**2 + 41/15*w**3 - 1/12*w**4 + 0. Suppose t(m) = 0. Calculate m.
2/5, 16
Let i(m) = -m**2 + 13*m - 12. Let c(w) = 6*w + 2. Let j(l) = 9*l + 5. Let d(y) = 7*c(y) - 4*j(y). Let o(p) = -5*d(p) + 3*i(p). Factor o(g).
-3*(g - 2)*(g - 1)
Let s(j) = -17*j + j**2 - 1 - 8*j - 2*j**2 + 26*j. Let w(c) = 22*c**3 + 2*c**2 - 8*c - 3. Let g(l) = -10*s(l) + 2*w(l). Suppose g(u) = 0. Calculate u.
-1, 2/11, 1/2
Let f(d) be the third derivative of -d**7/840 - d**6/32 + d**5/240 + 5*d**4/32 + 742*d**2 + 1. Suppose f(p) = 0. Calculate p.
-15, -1, 0, 1
Suppose 263*f + 21*f + 54*f + 912 - 152 + 34*f - 4*f**2 = 0. Calculate f.
-2, 95
Let r(l) be the third derivative of -8/3*l**3 + 11*l**2 + 2/735*l**7 - 83/42*l**4 - 27/35*l**5 - 5/42*l**6 + 0*l - 2. Factor r(b).
4*(b - 28)*(b + 1)**3/7
Let m be 5 - 4 - (1 - (754 - 0)). Let n = m - 752. Factor 0 + 12/19*d**3 - 18/19*d**n - 2/19*d**4 + 0*d.
-2*d**2*(d - 3)**2/19
Let b(p) = -6*p**2 - 54*p + 196. Let l = 745 - 744. Let i(u) = -u**2 + u - 6. Let k(d) = l*b(d) - 10*i(d). Find c such that k(c) = 0.
8
Factor 14444/9*u**3 + 0 + 9976/3*u**2 + 2/9*u**5 + 1682*u - 344/9*u**4.
2*u*(u - 87)**2*(u + 1)**2/9
Let k(n) = -20*n**3 + 6805*n**2 + 15*n. Let z(j) = 5*j**3 - 1701*j**2 - 4*j. Let s(u) = 4*k(u) + 15*z(u). Determine p, given that s(p) = 0.
0, 341
Let z = -1025 - -1062. Let h(o) = 16*o - 1. Let n be h(2). Solve 2*t - n + 2*t + t**2 + 71 - z = 0.
-3, -1
Let y(h) be the first derivative of -1/5*h**5 + 0*h**2 - 10 + 0*h**3 - 17*h + 2/3*h**4. Let s(p) be the first derivative of y(p). Let s(w) = 0. What is w?
0, 2
Let s(m) be the second derivative of -248*m + 0 - 1/180*m**5 + 1/18*m**3 + 0*m**2 - 1/54*m**4. Factor s(j).
-j*(j - 1)*(j + 3)/9
Suppose -250*m = -257*m - 21. Let v be (m/5)/(-155 + 152). Factor v*h - 1/10*h**2 - 1/10.
-(h - 1)**2/10
Let l be 18 + ((-4)/(-30) - (-128)/(-60)). Suppose -l = 4*n - 8*n. Factor 20*r**4 + n*r**2 - 3*r**2 + 4*r**5 + 12*r**3 - 37*r**2.
4*r**2*(r - 1)*(r + 3)**2
Suppose 183/8*p - 3/2*p**3 - 57/8*p**2 - 21/4 = 0. Calculate p.
-7, 1/4, 2
Let f(m) be the second derivative of m**6/480 + 7*m**5/120 - 5*m**4/32 - 75*m**2 - 25*m. Let k(r) be the first derivative of f(r). Factor k(b).
b*(b - 1)*(b + 15)/4
Let b(f) be the second derivative of -f**7/168 + f**6/5 - 43*f**5/80 - f**4/2 + 11*f**3/6 + 50*f + 4. Find a, given that b(a) = 0.
-1, 0, 1, 2, 22
Let t(q) = 749*q**2 - 48*q - 10. Let r be t(17). Let r + 3*w**2 - 87*w - 215635 = 0. What is w?
0, 29
Let w(v) be the third derivative of -1/60*v**5 + 3*v**2 + 3*v - 73/12*v**4 - 5329/6*v**3 + 0. Factor w(o).
-(o + 73)**2
Suppose 54 = 21*j + 12. Let -18*q**3 - 225 + 6*q**2 - 37*q**j - 19*q**3 + 38*q**3 + 255*q = 0. Calculate q.
1, 15
Factor 56*a - 14*a**2 + 12*a**2 - 110*a.
-2*a*(a + 27)
Let u = -106 + 76. Let n be 18/u - 122/(-70). Determine c, given that 0 - n*c**2 - 6/7*c = 0.
-3/4, 0
Let c = 1441 + -1436. Let w(a) be the first derivative of -9/5*a**5 + 0*a - c*a**3 + 27 - 5/24*a**6 - 9/8*a**2 - 41/8*a**4. Suppose w(d) = 0. What is d?
-3, -1, -1/5, 0
Let u = -609829/20 + 121969/4. Factor 1/5*n**2 + u*n + 4/5.
(n + 2)**2/5
Let d(g) be the first derivative of -184/3*g**3 + 22 - 4/5*g**5 - 24*g**2 - 13*g**4 + 288*g. Factor d(u).
-4*(u - 1)*(u + 2)*(u + 6)**2
Suppose 12 = -4*m, -5*w + 37 + 60 = m. Let i = 33 - w. Factor -5*y**4 + 7*y - 20*y**3 - i*y + 6*y.
-5*y**3*(y + 4)
Let f(i) = -23*i + 52 - i**2 + 8*i**2 - 8*i**2. Let g be f(-25). Factor -t**4 - 4 - 6*t**3 - 45*t**2 - 7*t - 4*t - t + 32*t**g.
-(t + 1)**2*(t + 2)**2
Let s(a) = 7*a**3 - 13372*a**2 + 6428168*a - 1835528. Let f(j) = 7*j**2 - 2*j. Let t(u) = 6*f(u) - s(u). Factor t(l).
-(l - 958)**2*(7*l - 2)
Let d(r) be the third derivative of -150*r**2 - 1/80*r**5 + 15/8*r**3 + 0 - 1/16*r**4 + 0*r. Factor d(f).
-3*(f - 3)*(f + 5)/4
Factor -2*j + 138*j**2 - j + 86*j**2 + 19*j**2.
3*j*(81*j - 1)
Find g such that -273800/9 - 2/9*g**2 + 1480/9*g = 0.
370
Let l be 52/442 - 5327/51. Let p = 105 + l. Factor p*n**4 + 0*n - 2/3*n**2 + 2/3*n**3 - 2/3*n**5 + 0.
-2*n**2*(n - 1)**2*(n + 1)/3
Suppose -55*p + 504 = -31*p. Factor 96*u**2 - 49*u - p*u**3 - 4 + 10*u + 16 - 51*u**2 + 3*u**4.
3*(u - 4)*(u - 1)**3
Factor -1/6*p**2 + 25/6*p - 24.
-(p - 16)*(p - 9)/6
Let f(u) = 3*u**2 + 2*u - 13. Let i(g) = -4*g**2 - 4*g + 20. Let o = -92 - -97. Let y(p) = o*i(p) + 7*f(p). Factor y(z).
(z - 3)**2
Let p(u) be the second derivative of -u**4/12 - 34*u**3/3 - 290*u**2 - u - 1908. Factor p(y).
-(y + 10)*(y + 58)
Let b = -3233 + 3235. Let f(j) be the first derivative of -2/21*j**6 - 2/7*j**b + 8/35*j**5 - 22 + 8/7*j + 2/7*j**4 - 16/21*j**3. Let f(l) = 0. Calculate l.
-1, 1, 2
Let s(d) be the third derivative of -1/5*d**5 + 1/160*d**6 - 200*d**2 + 0 + 2*d**3 - 1/32*d**4 + 0*d. Determine c, given that s(c) = 0.
-1, 1, 16
Let s(n) be the second derivative of -3*n**5/140 + n**4/14 + 5*n**3/14 - 9*n**2/7 - 1790*n. Factor s(x).
-3*(x - 3)*(x - 1)*(x + 2)/7
Let d(n) be the first derivative of n**4/8 + 313*n**3/6 + 6004*n**2 - 37446*n + 3206. Factor d(k).
(k - 3)*(k + 158)**2/2
Let v(q) be the second derivative of -q**3 - 4*q**2 - 8*q + 2 + 1/6*q**4. Find p, given that v(p) = 0.
-1, 4
Factor 0 + 364/3*n + 1/3*n**2.
n*(n + 364)/3
Let w(l) = 7*l**2 + 0*l**2 - 11*l - l**3 + 2*l + 3*l**2. Let a be w(8). Factor -44 - 2*n**3 + 42 + a - 54*n + 18*n**2.
-2*(n - 3)**3
Let o(b) = b**4 + b**2 - 2*b - 1. Let s(w) = 7158*w**3 - 427