 - 8)
Determine u, given that 200*u**2 + 10928 - 1561*u - 184*u - 12878 - 5*u**3 = 0.
-1, 15, 26
What is u in -2940 - 454*u**2 - 465*u**2 - 168*u - 3*u**3 - 539*u**2 + 1527*u**2 = 0?
-5, 14
Let y = -871 + 876. What is b in -52*b + 130*b**2 - 6 - 78*b**2 - b**4 - 68*b**2 + 24*b**3 - 18 - 4*b**y + 9*b**4 = 0?
-1, 2, 3
Determine n so that 432*n - 5949*n**2 + 560 + 11997*n**2 + 4*n**3 - 5964*n**2 = 0.
-14, -5, -2
Let h(s) be the first derivative of s**5/5 - 19*s**4/4 + 76*s**3/3 + 48*s**2 - 2198. Solve h(n) = 0.
-1, 0, 8, 12
Factor 55*w**2 + 171 - 622*w + 594 + 157*w + 5*w**3.
5*(w - 3)**2*(w + 17)
Let i = 582 + -582. Let q(c) be the third derivative of 24*c**2 + 4/105*c**5 - 2/735*c**7 + 1/70*c**6 + 0 + 0*c**3 + 0*c**4 + i*c. Factor q(m).
-4*m**2*(m - 4)*(m + 1)/7
Let x(l) = l**2 + 3*l + 4. Let p be x(-1). Factor 77*m + 5 - 77*m - 3*m**p - 2*m**2.
-5*(m - 1)*(m + 1)
Let -18006*r + 80*r**2 - 60*r**2 - 12969*r + 331*r**2 + 30625 - r**3 = 0. What is r?
1, 175
Let q(c) be the third derivative of 0 - 55/3*c**3 + 4*c - 1/12*c**5 - 65/24*c**4 + 2*c**2. Factor q(v).
-5*(v + 2)*(v + 11)
Suppose 0*a + 5*p = 3*a - 299, 5*a = -5*p + 445. Factor -w**2 - a*w + 0*w**2 + 188*w + 8 - 93*w.
-(w - 4)*(w + 2)
Let b = 68352 - 68352. Factor 1/3*p - 1/3*p**3 + b + 0*p**2.
-p*(p - 1)*(p + 1)/3
Determine v, given that -68*v - 54 + 189*v - 33*v - 3*v**2 - 61*v = 0.
3, 6
Let t(m) be the second derivative of m**4/4 + 313*m**3/2 - 471*m**2 - 87*m - 5. Determine z so that t(z) = 0.
-314, 1
Solve 86432/3*a + 7496*a**2 + 1/3*a**4 + 85264/3 + 296/3*a**3 = 0 for a.
-146, -2
Let -2856/5*s + 1376/5*s**2 - 216/5*s**3 + 1692/5 + 4/5*s**4 = 0. What is s?
1, 3, 47
Let x(z) be the third derivative of z**6/60 - 9*z**5/50 + 2*z**4/3 - 4*z**3/5 + 20*z**2 - 26. Factor x(h).
2*(h - 3)*(h - 2)*(5*h - 2)/5
Let s be -13 - 28/(-448)*220. Let a(r) be the second derivative of -1/3*r**4 - 6*r - 1/4*r**2 - s*r**3 + 5. Factor a(j).
-(j + 1)*(8*j + 1)/2
Let d(x) be the third derivative of -22*x**7/105 - 4*x**6/5 + 73*x**5/15 - 5*x**4 - 16*x**3/3 - 45*x**2 + 3*x + 15. What is a in d(a) = 0?
-4, -2/11, 1
Suppose 63*p - 2800 = 49*p. Let r be (p/140)/(2/16). Let -22*u**4 - 46*u**3 + r*u + 8/7 + 146/7*u**2 + 242/7*u**5 = 0. What is u?
-1, -2/11, 1
Let g(d) = -10407*d**3 + 10623*d**2 - 205*d - 5. Let q(b) = 20813*b**3 - 21241*b**2 + 410*b + 8. Let v(m) = -5*g(m) - 3*q(m). Factor v(r).
-(r - 1)*(102*r - 1)**2
Determine x, given that -75/2 + 9/2*x**2 + 3/4*x**3 - 135/4*x = 0.
-10, -1, 5
Let l(m) be the third derivative of -m**5/6 - 501*m**4/4 + 602*m**3/3 + 4712*m**2. Let l(f) = 0. Calculate f.
-301, 2/5
Let i(z) be the third derivative of 58*z + 3*z**2 - 1/18*z**5 + 1/540*z**6 - 125/27*z**3 + 0 + 25/36*z**4. Factor i(n).
2*(n - 5)**3/9
Let v = -99 + 101. Determine i so that 6*i**3 - v*i**4 + 6478*i**2 + 4 - 6*i - 6480*i**2 + 0*i = 0.
-1, 1, 2
Solve 0 + 0*m + 680/7*m**3 - 4*m**4 - 192/7*m**2 = 0.
0, 2/7, 24
Let x be (-1)/(8/3) - 2345/(-280). Find o such that 14*o**2 + x*o**2 - 190*o - 26*o**3 + 200*o + 3*o**4 - 9*o**4 = 0.
-5, -1/3, 0, 1
Let c(t) = 4*t**2 + 67*t - 169. Let r be c(-19). Suppose 0*j - 22/9*j**3 - 2/9*j**r + 0 = 0. Calculate j.
-1/11, 0
Suppose -180489*g + 1407 = -180020*g. Let -4/11 + 0*m**2 - 2/11*m**g + 6/11*m = 0. Calculate m.
-2, 1
Solve 3*o**2 + 0 + 325/2*o = 0.
-325/6, 0
Let x(j) = -11*j - 14. Let v be x(-3). Suppose 0 = -v*c - 13*c. Solve 5/3*t**2 - 5/3 + c*t = 0.
-1, 1
Let z = 278 - 275. Factor -10*d - 32*d**2 - 19 - d + d**z - 28*d**2 - 11 + 64*d**2.
(d - 3)*(d + 2)*(d + 5)
Let d(k) be the first derivative of 5/4*k**4 - 150*k**3 - 135000*k + 6750*k**2 - 107. Factor d(p).
5*(p - 30)**3
Let m(a) be the third derivative of a**6/90 + 7*a**5/15 + 4*a**4 + 75*a**3/2 + 102*a**2 - 1. Let d(o) be the first derivative of m(o). What is h in d(h) = 0?
-12, -2
Let v = 823/115415 - 15/563. Let p = v - -332/205. Determine g, given that -4/5*g**2 - p*g + 0 = 0.
-2, 0
Let s = -1928 + 3857/2. Let c(k) be the second derivative of 1/10*k**5 + 0 - 1/3*k**3 + 30*k - 2*k**2 + s*k**4 - 1/15*k**6. Let c(d) = 0. What is d?
-1, 1, 2
Let s(g) be the second derivative of -g**4/12 + 415*g**3/6 + 2910*g - 2. What is c in s(c) = 0?
0, 415
Let v be -2 - (-20)/(-225)*2315. Let t = v + 626/3. Find f, given that t - 16/9*f - 10*f**2 = 0.
-2/5, 2/9
Let u(s) = s**3 + s**2. Suppose -27 = 2*w + 5*t, -2 + 17 = -3*t. Let r(n) = -2*n**3 + 13*n**2 + 20*n - 40. Let i(l) = w*r(l) + 3*u(l). Factor i(y).
5*(y - 2)**2*(y + 2)
Let h(f) = -105*f**3 + 13399*f**2 + 6522*f + 773. Let v(t) = -525*t**3 + 66993*t**2 + 32610*t + 3864. Let r(i) = 24*h(i) - 5*v(i). Find a, given that r(a) = 0.
-2/7, -1/5, 128
Suppose -311*w + 310*w + 2 = 0. Find z, given that 20*z**w - 256 - 320*z + 4*z**4 + 20*z**3 + 22*z**2 - 90*z**2 = 0.
-4, -1, 4
Let h be ((-15)/(-35) + -3)*-7. Let 25 - 86*k**2 - 8*k - h*k + 88*k**2 + 35 = 0. Calculate k.
3, 10
Let j(i) be the second derivative of i**5/180 - 17*i**4/108 + 91*i**3/54 - 49*i**2/6 + 555*i. Factor j(m).
(m - 7)**2*(m - 3)/9
Determine b, given that -2/7*b**2 + 408/7 - 58*b = 0.
-204, 1
Let c(x) be the third derivative of 1/30*x**5 - 79 + x**2 + 3/4*x**4 + 0*x + 6*x**3. Let c(q) = 0. Calculate q.
-6, -3
Let t(a) be the first derivative of a**4/48 + 43*a**3/36 + 77*a**2/4 + 1018. Factor t(c).
c*(c + 21)*(c + 22)/12
Let c be (1 - (-50)/6) + (-34)/(-51). Let f be ((-7)/(-350)*c)/(2 - 1). Solve f*g**3 + 3/5*g**2 + 0 + 0*g = 0 for g.
-3, 0
Suppose -4*r - 25 + 17 = 0, -8 = 2*j + 3*r. Let b be (j + 1)/((2 - -6) + -6). Let 4/7*q**2 - 4/7*q**4 + 2*q**3 - 2*q**5 + b + 0*q = 0. Calculate q.
-1, -2/7, 0, 1
Suppose -16 = 2*r + 5*h, -r - h - 2 = 3. Let w(q) = -4*q**2 - 400*q - 3484. Let x(j) = -j**2 - 133*j - 1162. Let d(f) = r*w(f) + 8*x(f). Solve d(i) = 0 for i.
-17
Let o(p) be the second derivative of p**4/54 + 124*p**3/9 + 5130*p. Solve o(n) = 0.
-372, 0
Solve 764/17*d + 1520/17 + 2/17*d**2 = 0.
-380, -2
Let a = -11028 + 11028. Let q = -202 - -2628/13. Determine t so that a*t + q*t**5 - 4/13*t**3 + 2/13*t**4 + 0 + 0*t**2 = 0.
-2, 0, 1
Let p = -16754/3 + 5590. Let v(g) be the first derivative of 1/15*g**5 - 8/9*g**3 + 0*g**4 + 0*g**2 + p*g + 16. Factor v(h).
(h - 2)**2*(h + 2)**2/3
Let m(v) = v**2 - 40*v + 314. Let t be m(30). Let x be (-12)/(-96)*t*(-2)/(-7). Suppose 5/8*p - x*p**3 + 1/2*p**4 - 1/4*p**2 - 1/4 - 1/8*p**5 = 0. What is p?
-1, 1, 2
Let n = -237/169 - 360949/507. Let y = n - -714. Let -y*q**4 + 0*q + 0*q**3 + 0 + 2/3*q**2 = 0. Calculate q.
-1, 0, 1
Let h(y) = -13 + 12*y**2 + 553*y - 280*y - 255*y + 4. Suppose 0 = 5*m + 20, -2*b - m = -2 + 8. Let f(q) = q**2 + q - 1. Let x(s) = b*h(s) + 9*f(s). Factor x(j).
-3*j*(j + 3)
Let o(z) be the second derivative of -z**7/63 - 8*z**6/45 - 7*z**5/15 + 4*z**4/9 + 5*z**3/3 + 4982*z. Let o(k) = 0. Calculate k.
-5, -3, -1, 0, 1
Suppose -9*z + 24 = 6. Solve z*r**4 + 1 - 3*r**4 - 2*r**3 + 0 + 3*r - r = 0 for r.
-1, 1
Let c(y) be the first derivative of 37*y**3 + 771*y**2/2 - 42*y + 10734. Find k, given that c(k) = 0.
-7, 2/37
Let u = 244/1877 + 12820/16893. Determine s, given that 14/9*s**4 - 40/9*s + 10/9*s**5 - 62/9*s**2 - u - 26/9*s**3 = 0.
-1, -2/5, 2
Let w be ((-485)/(-97) - -1*24/(-7))/1. Solve -w*f + 4/7 - 3/7*f**2 = 0 for f.
-4, 1/3
Let o(q) be the third derivative of q**5/330 - q**4/11 + q**3/3 - 1133*q**2. Factor o(x).
2*(x - 11)*(x - 1)/11
Let p = 1/89 + -253/14596. Let c = p - -2301/820. Solve -18/5*f**2 + c*f - 4/5 + 2*f**3 - 2/5*f**4 = 0.
1, 2
Let z(y) be the third derivative of y**6/660 - 2*y**5/55 + 3*y**4/44 + 2*y**3/3 + 1307*y**2 - 2*y. Determine o, given that z(o) = 0.
-1, 2, 11
Let n(s) = -2*s**2 - 7*s - 5. Let t(u) = 83*u - u**2 - 48*u + 60 + 50*u + 26*u**2. Let z = 5 - 8. Let w(v) = z*t(v) - 35*n(v). Factor w(p).
-5*(p + 1)**2
Let c(b) be the first derivative of -47 - 3/13*b**2 + 4/13*b + 2/39*b**3. Factor c(o).
2*(o - 2)*(o - 1)/13
Solve 3348/11*q + 1344/11 - 30/11*q**2 = 0.
-2/5, 112
Suppose 9*w - 26 = -8. Let r be 34/85*(6 - w/2). Factor 147/5*n**5 + 0 + 0*n + 96/5*n**3 - 231/5*n**4 - 12/5*n**r.
3*n**2*(n - 1)*(7*n - 2)**2/5
Let r be (-4)/14 + 1092/(-637). Let t be (r/(-18))/((-153)/(-459)). Factor 1/6*a**2 - t + 1/6*a**4 + 1/2*a - 1/2*a**3.
(a - 2)*(a - 1)**2*(a + 1)/6
Let -22*x**3 - 22*x**5 - 75*x**2 + 87*x**3 - 17*x**5 - 3*x**4 + 34*x**5 + 18*x**