ctor v(f).
-4*(f + 1)*(f + 43)*(7*f - 1)
Let g(o) be the second derivative of -o**6/15 + 483*o**5/10 - 321*o**4/2 + 481*o**3/3 - 1968*o + 2. Solve g(j) = 0.
0, 1, 481
Suppose -3*p = -a + 716 - 610, -3*a = p - 298. Factor a*c + 5/3*c**3 - 70/3*c**2 - 120.
5*(c - 6)**2*(c - 2)/3
Let d(x) = -x**3 + 32*x**2 - 27*x - 68. Let g be d(32). Let w = 944 + g. Determine z so that w*z**3 - 26/3*z**2 + 0 + 4/3*z = 0.
0, 2/9, 1/2
Suppose 0 = 2*h - 6*w + 12, -1079*h + 1084*h = -2*w + 4. Determine m, given that 0 - 1/10*m**4 + 0*m - 1/10*m**3 + h*m**2 = 0.
-1, 0
Let v = 30 - 24. Suppose -2 = -v*p + 5*p. Factor -2*x - 8*x**p - 4*x**3 + 8*x**2 + 6*x**3.
2*x*(x - 1)*(x + 1)
Suppose -77*p - 20 = -82*p. Suppose -6*f + 7125 = -14379. Factor 4*k**2 - p*k**3 + f*k - 3584*k.
-4*k**2*(k - 1)
Factor -q - 1537*q**2 - 24 + 1540*q**2 + 7*q.
3*(q - 2)*(q + 4)
Factor 8112 + 4472*v + 1/3*v**4 + 2161/3*v**2 + 86/3*v**3.
(v + 4)**2*(v + 39)**2/3
Let j(f) = -5*f - 69. Let w be j(-21). Let r be (3 - 100/w)/(8/6). Factor 2/3*y**2 + 0*y + 0 + r*y**4 - 2/3*y**3.
y**2*(y - 2)**2/6
Let a(v) = 7*v**3 + 103*v**2 + 212*v - 2. Let f(h) = -11*h**3 - 103*h**2 - 213*h + 3. Let u(w) = 3*a(w) + 2*f(w). Determine l so that u(l) = 0.
-2, 0, 105
Suppose -2944*y + 8225 = -3551. What is s in -75/2*s**2 + 9/4*s**3 + 97/4*s - y = 0?
1/3, 16
Let o be (0*1/7)/(-1). Let p be 3*1 + (-10 - -9) + o. Factor 4 - 8/3*h + 8/3*h**3 - 16/3*h**p + 4/3*h**4.
4*(h - 1)**2*(h + 1)*(h + 3)/3
Let w(z) = -14985*z + 149852. Let d be w(10). Determine g so that -1/4*g**d - 3/4*g + 0 = 0.
-3, 0
Let w(s) = s**3 + 14*s**2 + 14*s - 57. Let l be w(-7). Let d be l/14 + (-44 - -36). Solve -d*n**2 + 8/7*n - 68/7*n**3 + 8/7 - 30/7*n**4 = 0 for n.
-1, -2/3, 2/5
Let r be -96 - (11 + -6 - -4). Let m be (-13)/((-585)/r)*4/(-14). Let -2*f + m*f**2 - 8/3 = 0. Calculate f.
-1, 4
Suppose -2 = g + 7, 13 = 3*h - 5*g - 47. Factor -6/11*d**h + 336/11*d**2 + 204/11*d**3 + 234/11*d + 60/11 + 36/11*d**4.
-6*(d - 10)*(d + 1)**4/11
Let q be 15 + 15 + -29 + 3. Let w(r) be the third derivative of 0*r - 20*r**2 + 0 - 7/8*r**q + 0*r**3 + 1/20*r**5. Suppose w(y) = 0. What is y?
0, 7
Let t = 76263 + -76261. Factor 3/4*n**4 + 1/8*n**5 + 0*n**t + 5/8*n**3 + 0 + 0*n.
n**3*(n + 1)*(n + 5)/8
Solve 2865/2*a**2 - 3/2*a**4 + 3816*a + 3294 + 171*a**3 = 0 for a.
-3, -2, 122
Let 4*g + 98/13*g**2 + 2/13 + 48/13*g**3 = 0. Calculate g.
-1, -1/24
Let b(t) be the second derivative of -25*t**7/63 - t**6/9 + 3*t**5/5 + 26*t**4/45 + 8*t**3/45 + 3175*t. Factor b(s).
-2*s*(s - 1)*(5*s + 2)**3/15
Let c(y) = y**2 + 15*y. Let h be c(-15). Suppose -4*t + 11*t + 2*t = h. Factor 3/4*x + 0*x**3 + 3/2*x**2 - 3/4*x**5 - 3/2*x**4 + t.
-3*x*(x - 1)*(x + 1)**3/4
Let r be 0*(1804/369 + -5). Factor r*h + 7/2*h**4 + 1/2*h**5 + 0 - 8*h**2 + 4*h**3.
h**2*(h - 1)*(h + 4)**2/2
Let s be ((-26)/10 - 14444/(-690)) + 30/(-2). Factor s*u**3 + 28/9*u**2 + 0*u + 2/9*u**4 + 0.
2*u**2*(u + 1)*(u + 14)/9
Let j(b) be the first derivative of 3/14*b**4 + 4/21*b**3 + 2/35*b**5 + 0*b**2 - 257 + 0*b. Determine q so that j(q) = 0.
-2, -1, 0
Let w(d) be the second derivative of 0*d**2 + 1/40*d**5 + 1/2*d**3 + 0 + 11*d - 5/24*d**4. Factor w(m).
m*(m - 3)*(m - 2)/2
Let k(z) be the first derivative of 7*z**6/24 - z**5/3 - 5*z**4/8 + 22*z**2 - 2*z + 97. Let y(g) be the second derivative of k(g). Determine u so that y(u) = 0.
-3/7, 0, 1
Find r, given that -95600*r**2 + 8 - 66*r**3 - 14*r - 36*r + 95476*r**2 = 0.
-1, 4/33
Suppose -1319*a + 220*a + 2198 = 0. Factor 1/8*f**a - 5/2*f + 19/8.
(f - 19)*(f - 1)/8
Determine w so that 11771761/8 + 1/8*w**2 - 3431/4*w = 0.
3431
Factor -12*o**2 - 7*o**3 - 5*o**3 + 8*o**3 + 124*o**2.
-4*o**2*(o - 28)
Let y(g) be the second derivative of -g**4/3 + 94*g**3/3 - 92*g**2 + 16*g. Factor y(q).
-4*(q - 46)*(q - 1)
Factor -1/2*d**2 + 2048*d - 2097152.
-(d - 2048)**2/2
Determine i, given that -658/11*i**2 + 4950 + 4890*i + 2/11*i**3 = 0.
-1, 165
Let l(a) be the second derivative of -a**6/165 + 3*a**4/11 + 32*a**3/33 + 15*a**2/11 + 674*a. Solve l(z) = 0.
-3, -1, 5
Factor 8*l - 26 - 112655*l**2 - 39 + 112656*l**2.
(l - 5)*(l + 13)
Let y be -2 + (3 - 3) - -5. Let x = -255 + 259. Factor -2*j**2 + 0*j**3 + j**3 + j**3 - j**x + j**y.
-j**2*(j - 2)*(j - 1)
Suppose -7*s + 20*s = 52. Suppose -2*a = -3*a + g, -3*a + s*g = 4. What is n in -6*n**4 - 179*n**5 - 20*n - 14*n**a + 5*n**3 + 184*n**5 - 40 + 50*n**2 = 0?
-1, 2
Suppose -20919 = -17*m + 1266. Determine c so that m - 146*c - 1054*c - 4185 - 125*c**2 = 0.
-24/5
Let f be 9/(-2)*118/(-177). Let j(l) be the second derivative of -25*l - 16/3*l**f - 64*l**2 + 0 - 1/6*l**4. Factor j(g).
-2*(g + 8)**2
Let h(x) = x**2 - 21*x - 280. Let s be h(31). Suppose 162*j - 177*j + s = 0. What is f in 49/2 + 7*f + 1/2*f**j = 0?
-7
Factor 8*h**2 - 9*h**2 - 9*h**2 + 40 + 30*h + 15*h**2.
5*(h + 2)*(h + 4)
Let c(g) be the third derivative of -5*g**8/336 + 9*g**7/7 - 73*g**6/2 + 1010*g**5/3 - 1520*g**4 + 3840*g**3 - 2*g**2 - 40*g. What is z in c(z) = 0?
2, 24
Suppose -40 = -51*l + 62. Suppose -8*f**3 - 16*f**2 - 3*f**4 + 2*f - 3*f - 5*f + l*f + 19*f**4 + 12*f**5 = 0. What is f?
-1, -1/3, 0, 1
Suppose -8/5*l + 42/25*l**3 - 2/25*l**5 - 48/25 + 4/25*l**4 + 44/25*l**2 = 0. What is l?
-2, -1, 1, 6
Let p(u) be the first derivative of -25/42*u**3 + 0*u + 2 - 5/84*u**4 - 1/420*u**5 - 6*u**2. Let l(t) be the second derivative of p(t). Factor l(y).
-(y + 5)**2/7
Let a(w) = 2*w + 17. Let m = -16 + 8. Let b be a(m). Factor -b + 1 + 4*y**2 - 51*y + 39*y.
4*y*(y - 3)
Determine i so that -263*i + 5*i**2 - 1107 + 478 + 523 = 0.
-2/5, 53
Let u be (-17831)/(-55) - 2/10. Suppose 4*s + u = 8*s. Factor -33*i**2 - 2*i + s*i**2 - 41*i**2.
i*(7*i - 2)
Let x be (-48)/30 - 53/(-30). Let g(o) be the first derivative of -11 + x*o**3 + 0*o**4 - 1/24*o**6 + 0*o - 1/10*o**5 + 1/8*o**2. Factor g(f).
-f*(f - 1)*(f + 1)**3/4
Let w(l) be the first derivative of -l**4/2 - 146*l**3/3 - 66*l**2 + 864*l - 5824. Factor w(c).
-2*(c - 2)*(c + 3)*(c + 72)
Let z(f) be the first derivative of f**6/24 - 13*f**5/12 - 35*f**4/12 + 91*f**2/2 + 146. Let k(a) be the second derivative of z(a). Solve k(j) = 0.
-1, 0, 14
Let u = 83687 - 83683. Let 8/3*p**2 - 2/3*p**u + 58/9*p**3 + 0 - 40/9*p = 0. Calculate p.
-1, 0, 2/3, 10
Let -77020*a + 2*a**3 - 1440*a**2 - 4*a**3 - 97691*a - 2*a**3 + 45111*a = 0. What is a?
-180, 0
Let y(z) be the first derivative of -2*z**5/45 + 79*z**4/18 - 3040*z**3/27 - 1600*z**2/9 - 858. Factor y(h).
-2*h*(h - 40)**2*(h + 1)/9
Let a(j) be the third derivative of 5*j**8/588 - 326*j**7/735 - 106*j**6/35 + 116*j**5/15 + 928*j**4/21 + 384*j**3/7 - 13894*j**2. What is f in a(f) = 0?
-4, -1, -2/5, 2, 36
Let o(g) = -g**3 - 2*g**2 + g - 11. Let b be o(-4). Let s = b + -17. Solve 0*x + 1/3*x**2 + s - 1/3*x**3 = 0.
0, 1
Let j(u) = 170*u**2 - 175*u + 40. Let t(q) = -169*q**2 + 179*q - 42. Let d(m) = 6*j(m) + 5*t(m). Suppose d(s) = 0. Calculate s.
2/7, 3/5
Suppose -208*m + 216*m - 55296 = 0. Factor m + 5*x**3 + 144*x**2 - 2673*x - 9*x**3 + 945*x.
-4*(x - 12)**3
Let d = 50/33 - -170/33. Let h(g) be the third derivative of -8/3*g**3 + 24*g**2 + 0*g - d*g**4 + 0 - 91/15*g**5. Let h(m) = 0. What is m?
-2/7, -2/13
Let u = 6/15187 + 45537/60748. Determine s so that 3267/4 + u*s**2 + 99/2*s = 0.
-33
Let q(i) = 9*i**3 + 17*i**2 + 405*i - 817. Let g(y) = -2*y**3 - y**2 + 1. Let o(a) = -7*g(a) - q(a). Factor o(x).
5*(x - 9)*(x - 2)*(x + 9)
Let x be 0*(231/(-22) + 10). Let n be (-9)/45 - (-12)/20. Let n*c**2 + 4/5*c + x = 0. What is c?
-2, 0
Let d = 19877 + -19875. Let n(h) be the first derivative of 1/3*h**3 + 4*h + 9 - 5/2*h**d. Factor n(a).
(a - 4)*(a - 1)
Let -108*d**3 - 51/2 - 157*d**2 - d**5 - 103*d - 59/2*d**4 = 0. Calculate d.
-51/2, -1
Let w(j) be the first derivative of -j**4/24 + 137*j**3/18 + 209*j**2/6 + 140*j/3 - 4424. Factor w(o).
-(o - 140)*(o + 1)*(o + 2)/6
Let j(v) = 9*v**3 - 336*v**2 - 9*v + 331. Let c(f) = 13*f**3 - 504*f**2 - 13*f + 497. Let i(n) = -5*c(n) + 7*j(n). Find r, given that i(r) = 0.
-1, 1, 84
Let x(k) be the first derivative of -3*k**4/2 - 2*k**3/3 + 147*k**2 + 98*k - 697. Solve x(v) = 0 for v.
-7, -1/3, 7
Suppose -6*h + 134 + 76 = 0. Factor -16 - 44*r**2 + 18*r**4 + 40*r**2 - 28*r**3 + h*r - 2*r**5 - 5*r + 2.
-2*(r - 7)*(r - 1)**3*(r + 1)
Let j be (-8 - -7)*0/(-2). Let n be 2/(-2