(-2 + z + (-132)/15)/(-1). Find g, given that -q*g**2 - 512/5 - 192/5*g - 1/5*g**3 = 0.
-8
Let o be ((-3276)/208)/(((-9)/16)/3). Let b = o - 81. Find p, given that 50*p**3 - 93*p**b + p**5 - 6*p**4 + 52*p**3 = 0.
0, 3
Let s be 200/(-1400) + ((-60)/14)/(-2). Let m(d) be the second derivative of 0 - 1/12*d**3 + 6*d - 1/24*d**4 + 0*d**s. Find f, given that m(f) = 0.
-1, 0
Let o be 2*-82*288/36. Let v = -9181/7 - o. Let 0*y**3 + v + 3/7*y**4 + 0*y - 6/7*y**2 = 0. What is y?
-1, 1
Let z = -25/31 - -3031/3720. Let y(g) be the third derivative of 0*g + 1/24*g**3 - z*g**5 + 0*g**4 + 9*g**2 + 1/840*g**7 + 0*g**6 + 0. Factor y(f).
(f - 1)**2*(f + 1)**2/4
Suppose 4*x - 12 = 0, 3*u + 13*x - 69 = 14*x. Determine k so that 6*k + 4*k**2 + 12*k + 2*k + u - 8*k**2 = 0.
-1, 6
Let r be 8 + (-3 - 264/56). Suppose 7*q - 19 = 4*q - 5*m, q - 3*m = -3. Let 0*h + 2/7*h**4 + 0*h**q + 0 - r*h**5 + 0*h**2 = 0. Calculate h.
0, 1
Solve 162000/7*k - 97200/7*k**2 - 276/7*k**4 + 3/7*k**5 + 0 + 8640/7*k**3 = 0 for k.
0, 2, 30
Suppose 59*u - 75*u = -80. Let v(m) be the first derivative of -1/6*m**2 - 1/9*m**3 + 1/12*m**4 + 1/3*m + u. Let v(z) = 0. Calculate z.
-1, 1
Let w(d) be the third derivative of -d**8/784 - d**7/490 + 13*d**6/35 - 29*d**5/7 + 148*d**4/7 - 416*d**3/7 + 2450*d**2 + 2*d - 2. Solve w(s) = 0 for s.
-13, 2, 4
Let v = -736056/65 - -56622/5. Determine g, given that 4/13 + 4/13*g**4 - v*g**5 + 2/13*g + 20/13*g**3 - 24/13*g**2 = 0.
-2, -1/3, 1
Let f = -46593 - -4314. Let r = -125662/3 - f. What is z in -r*z**3 - 1100/3*z**4 - 125*z**5 - 116/3*z - 8/3 - 186*z**2 = 0?
-1, -2/5, -2/15
Let l(p) = p**4 + 5*p**3 - 16*p**2 - 24*p - 2. Let g(o) = 4*o**4 + 17*o**3 - 65*o**2 - 96*o - 9. Let y(n) = 4*g(n) - 18*l(n). Solve y(a) = 0.
-12, -1, 0, 2
Suppose -32/7*k - 2/7*k**5 + 64/7*k**2 - 48/7*k**3 + 16/7*k**4 + 0 = 0. Calculate k.
0, 2
Let a(k) = 2*k**3 - k**2 + k + 1. Let s(u) = 21*u - 1 - 12*u + 17*u**3 - 307*u**2 - u**4 + 285*u**2 + 13*u. Let n(q) = 20*a(q) - 4*s(q). Factor n(o).
4*(o - 3)*(o - 2)*(o - 1)**2
Let l(t) be the second derivative of 2*t**6/15 + 232*t**5/5 - t**4 - 1388*t**3/3 + 928*t**2 - 1534*t. What is b in l(b) = 0?
-232, -2, 1
Let d(f) be the first derivative of 1/25*f**5 - 2/5*f**3 + 8/5*f + 43 + 1/20*f**4 - 2/5*f**2. Factor d(u).
(u - 2)*(u - 1)*(u + 2)**2/5
Let m(u) = u + 17. Let c be m(-9). Let q be (1 + 0)/(c/16). Let 29*f**2 + 10*f**q + 8*f**5 - 10*f + 2*f**3 + 4 - 2 - 16*f**4 - 25*f**2 = 0. What is f?
-1, 1/2, 1
Let s = -16853 + 50561/3. Factor 0 + s*w - 1/3*w**2.
-w*(w - 2)/3
Solve -17764 - 124*c**2 - 51*c**2 + 944*c - 37932 + 171*c**2 = 0.
118
Determine x so that -2973/8*x - 3/8*x**4 - 495/4 - 999/8*x**3 - 2979/8*x**2 = 0.
-330, -1
Let c(o) = -10*o**2 - 55*o - 25. Let p be c(-5). Let t(m) be the second derivative of -4/3*m**3 + p - 2*m**2 + 4*m - 1/3*m**4. Factor t(d).
-4*(d + 1)**2
Let y(t) be the first derivative of t**4/15 - 14*t**3/15 + 12*t**2/5 + 131*t - 145. Let m(w) be the first derivative of y(w). Factor m(c).
4*(c - 6)*(c - 1)/5
Let x(l) be the first derivative of -l**4/3 - 16*l**3/3 + 18*l**2 + 27*l - 56. Let o(g) be the first derivative of x(g). Factor o(z).
-4*(z - 1)*(z + 9)
Let n(m) = -7*m**4 + 107*m**3 - 180*m**2 - 67*m + 240. Let j(q) = 2*q**4 - 27*q**3 + 45*q**2 + 17*q - 60. Let l(k) = -13*j(k) - 3*n(k). Factor l(z).
-5*(z - 3)*(z - 2)**2*(z + 1)
Let d be 23/207 - 53/(-9). Let 63*p + 4*p**2 + 2*p**4 + 24*p**3 - d*p**4 - 12*p**3 - 67*p - 8*p**5 = 0. Calculate p.
-1, 0, 1/2, 1
Determine p, given that -144/11 + 36/11*p**2 + 8/11*p - 2/11*p**3 = 0.
-2, 2, 18
Let m(p) = -p**4 - 216*p**3 - 887*p**2 - 1285*p - 635. Let k = 48 + -37. Let j(g) = 72*g**3 + 296*g**2 + 428*g + 212. Let o(u) = k*j(u) + 4*m(u). Factor o(s).
-4*(s + 1)*(s + 2)**2*(s + 13)
Let h = 769 + -1092. Let v = -965/3 - h. Factor -4/3*j**2 - v*j + 0.
-4*j*(j + 1)/3
Let f(p) = 5*p - 107. Let q be f(22). Factor -3*c**2 - 21*c + 2*c**2 + q*c - 35 - 18*c.
-(c + 1)*(c + 35)
Suppose 7*a + 84 = 7. Let r = a + 13. Factor 4*x + x**2 - 2*x + 0*x**2 - 3*x**r.
-2*x*(x - 1)
Let n = -25945 - -25954. Determine k, given that 0*k - n*k**2 + 0 - 3/2*k**3 = 0.
-6, 0
Suppose 2*v - 10 = -3*v. Suppose 3*x - v*x = -3*o + 3, -2*o + 1 = x. Factor -2*m**o - 79 + 87 + 5*m + 6*m - 5*m.
-2*(m - 4)*(m + 1)
Let x be 8/(-6)*9*2/(-8). Suppose a - s - 10 + x = 0, 3*a = 2*s + 17. Factor 0 + 0*z + 1/6*z**4 + 1/6*z**2 + 1/3*z**a.
z**2*(z + 1)**2/6
Let c = 8 - 8. Let a(q) = q**2 - 3452*q + 30990. Let u be a(9). Factor c + 2/7*d + 4/7*d**2 + 2/7*d**u.
2*d*(d + 1)**2/7
Let k(t) = 36*t**3 - 442*t**2 + 1886*t + 1072. Let x(q) = -7*q**3 + 88*q**2 - 377*q - 214. Let y(f) = -3*k(f) - 16*x(f). Solve y(a) = 0 for a.
-1/2, 8, 13
Let u(v) be the first derivative of v**4/10 + 2048*v**3/15 - v**2/5 - 2048*v/5 - 5764. Factor u(a).
2*(a - 1)*(a + 1)*(a + 1024)/5
Let r = -87 - -170. Factor 2177*j**2 + 75*j**4 - 5*j**5 - 4313*j**2 - r*j**3 + 2381*j**2 - 232*j**3.
-5*j**2*(j - 7)**2*(j - 1)
Suppose 2*a = 3*l + 237, 114 = 4*a - 3*a + 3*l. Suppose -a*y + 95*y = 0. Solve -q + 5/4*q**4 - 2*q**2 + 7/4*q**3 + y = 0 for q.
-2, -2/5, 0, 1
Let h(b) = -176*b - 176. Let r(p) = -25*p - 25. Let q(o) = -6*h(o) + 44*r(o). Let v(w) = -w**2 - 88*w - 87. Let k(t) = -7*q(t) + 4*v(t). Solve k(z) = 0 for z.
-10, -1
Let l(z) be the third derivative of z**5/5 - 175*z**4/6 - 236*z**3/3 - 34*z**2 - 3. Solve l(y) = 0.
-2/3, 59
Let d(y) be the first derivative of y**4/40 + 121*y**3/30 - 2839. Solve d(c) = 0 for c.
-121, 0
Let p(f) be the first derivative of -1/45*f**6 + 0*f**3 - 1/72*f**4 - 19*f + 0*f**2 + 16 + 1/24*f**5. Let n(c) be the first derivative of p(c). Factor n(z).
-z**2*(z - 1)*(4*z - 1)/6
Suppose -4*l = -112*n + 111*n - 9, 6*l + n = 11. Factor 396*c - 120 + 21/5*c**3 + 414/5*c**l.
3*(c + 10)**2*(7*c - 2)/5
Let d = -44 - -75. Let z = d + -27. Factor -40*j - 58*j**4 + 48*j**2 - 256 + 6*j**5 - 234*j - 4*j**z - 174*j + 172*j**3.
2*(j - 4)**3*(j + 1)*(3*j + 2)
Let s(o) = 7*o**3 - 21*o**2 - 78*o - 86. Let p(z) = -24*z**3 + 65*z**2 + 233*z + 259. Let q(i) = -2*p(i) - 7*s(i). Factor q(t).
-(t - 21)*(t + 2)**2
Let x(j) = j**2 + 2*j - 36. Let t be x(-10). Let q = -40 + t. Factor 57*y**3 + 2*y**q - 49*y**3 - 4*y**5 + 2*y**4.
-4*y**3*(y - 2)*(y + 1)
Let g(w) be the second derivative of w**7/21 + 2*w**6/15 - 113*w**5/10 - 437*w**4/3 - 2336*w**3/3 - 2080*w**2 + 12*w + 23. Suppose g(c) = 0. Calculate c.
-5, -4, -2, 13
Let d(j) = -9*j + 228. Let t be d(-15). Let h = -360 + t. Factor -2/17*f**4 - 8/17*f**h - 4/17*f - 10/17*f**2 + 0.
-2*f*(f + 1)**2*(f + 2)/17
Let y(h) = -h**3 - 2282*h**2 - 8. Let n(i) = i**3 + 1520*i**2 + 5. Let q(f) = 8*n(f) + 5*y(f). Find b, given that q(b) = 0.
-250, 0
Factor 4*g**2 + 11/3*g**3 - 3*g + 0 + 2/3*g**4.
g*(g + 3)**2*(2*g - 1)/3
Let n = 298964/3 - 99646. Suppose -38*t**2 - 2/3*t**4 - 100/3 - n*t**3 - 190/3*t = 0. What is t?
-5, -2, -1
Let w(i) be the second derivative of -i**4/6 - 13*i**3 + 40*i**2 + 49*i - 3. Factor w(x).
-2*(x - 1)*(x + 40)
Let c = -320945 + 962842/3. Factor 2*j + 8/9*j**3 + 1/9*j**4 + 0 + c*j**2.
j*(j + 2)*(j + 3)**2/9
Let o be 2/(10 - (0 - (-289)/34)). Let 5/3*m**2 - 2/3*m**4 + 1/6*m**5 - o + 1/6*m**3 - 2/3*m = 0. What is m?
-1, 2
Let z(b) be the third derivative of b**7/1050 - 1651*b**6/600 - 8*b**2 - 12*b + 13. Suppose z(n) = 0. Calculate n.
0, 1651
What is v in -3663*v**2 + 108 - 3*v**4 + 3648*v**2 - 86*v + 18*v**3 + 14*v = 0?
-2, 2, 3
Let m(c) = -8*c**2 + 44. Let t(r) be the second derivative of -7*r**4/12 - r**3/6 + 45*r**2/2 - 58*r. Let y(w) = 3*m(w) - 4*t(w). Let y(q) = 0. What is q?
-4, 3
Let -1/3*o**2 - 16/3*o - 28/3 = 0. Calculate o.
-14, -2
Let z(d) be the third derivative of 0*d + 1/8*d**4 + 0*d**3 - 9/160*d**6 - 1/40*d**7 + 0 + 187*d**2 + 3/20*d**5. Let z(y) = 0. What is y?
-2, -2/7, 0, 1
Let z = -967 + 229. Let q = z - -740. Determine v so that 0*v - 9/2*v**3 + q*v**4 + 0 + v**2 = 0.
0, 1/4, 2
Let j = -53 + 57. Let k be 8 - ((3 - 1) + 0). Let k*p + j*p - 4*p - 2*p**2 - 4*p = 0. What is p?
0, 1
Let c(d) be the second derivative of 0 - d**5 + 0*d**2 - 60*d + 0*d**3 - 1/6*d**6 - 5/3*d**4. Determine m so that c(m) = 0.
-2, 0
Suppose -75 = -5*x + 5*b, -b + 68 = 5*x + 11. Factor -25*o - 5*o**2 - 2*o - 36*o + 91*o + x.
-(o - 6)*(5*o + 2)
Let o(f) be the third derivative of -f**6/480 + 271*f**5/40