 2/(-6)*-3 + 252/36. Let v(c) = -16*c. Let q be v(-1). Find y, given that -f*y**4 + 0 + 4*y**4 + 12 + 4*y**2 - q*y**3 + 16*y - 12*y**2 = 0.
-3, -1, 1
Factor 8/3*q**2 + 6*q - 2/9*q**3 + 28/9.
-2*(q - 14)*(q + 1)**2/9
Let q(v) be the third derivative of 7*v**7/135 - 7*v**6/20 + 13*v**5/30 + 29*v**4/108 - 2*v**3/9 - 624*v**2 - 2*v. Suppose q(u) = 0. What is u?
-2/7, 1/7, 1, 3
Let q(k) be the third derivative of -k**7/350 + k**6/200 + 3*k**5/50 - 52*k**2 + 3*k. Solve q(l) = 0.
-2, 0, 3
Solve -230/7*h**4 - 466/7*h + 234/7 + 468/7*h**3 - 4/7*h**2 - 2/7*h**5 = 0.
-117, -1, 1
Suppose -4*h - 2*n = -188, -3*h = -2*n + 5*n - 138. Suppose 0 = 15*c + c - h. Factor 8*x**2 + 55*x**4 - 3*x**c - 108*x**4 + 51*x**4 - 4*x + x**5.
x*(x - 2)*(x - 1)**2*(x + 2)
Let w(p) be the third derivative of 29*p**7/1260 + p**6/270 + 10*p**3 + 77*p**2. Let x(s) be the first derivative of w(s). Factor x(i).
2*i**2*(29*i + 2)/3
Let s(y) be the third derivative of 2*y**2 + 1/8*y**4 - 1/4*y**3 - 11 + 0*y**5 + 1/140*y**7 - 1/40*y**6 + 0*y. Suppose s(p) = 0. Calculate p.
-1, 1
Let v(s) be the third derivative of 4*s + 1/7*s**3 + 1/35*s**5 + 0 - 1/735*s**7 + 0*s**6 + 4*s**2 + 2/21*s**4. What is t in v(t) = 0?
-1, 3
Let g = -48 + 58. Suppose 6*i = g*i - 48. Let 3 + 22 - i*m + 3*m**2 - 13 = 0. What is m?
2
Let k(b) = 10*b**2 + 3004*b + 982. Let c(a) = a**2 + 9. Let h(y) = -2*c(y) - k(y). Solve h(s) = 0 for s.
-250, -1/3
Let f be -9 + (-10202)/(-171) - (-4)/(-18). Let t = f - 151/3. Factor 0 + 2/19*h**5 + 0*h**4 + t*h + 0*h**2 - 4/19*h**3.
2*h*(h - 1)**2*(h + 1)**2/19
Let g = 1919/1385 + 4/277. Let h = -11213 - -11215. Find u, given that -6/5*u + g - 1/5*u**h = 0.
-7, 1
Let v(r) be the second derivative of r**6/120 + r**5/5 - 179*r**4/48 + 51*r**3/4 - 18*r**2 - 110*r. Suppose v(j) = 0. What is j?
-24, 1, 6
Let u(c) = -4*c**2 + 100*c + 94. Let y(k) = -k**2 + k. Let p(o) = 2*u(o) - 10*y(o). Find i, given that p(i) = 0.
-94, -1
Let h be (-8)/(-33 + (-279)/(-9)). Determine p, given that 6*p**3 - 14/3*p**h + 10/3*p**2 - 6*p + 4/3 = 0.
-1, 2/7, 1
Factor 3/5*z**2 - 112/5 - 34/5*z.
(z - 14)*(3*z + 8)/5
Let u(h) = h**3 - 31*h**2 + 2*h - 56. Let z be u(31). Suppose z*c + 22*c = 56. Solve 3/2*t**c - 39/8*t**3 + 0 + 15/8*t**4 + 3/2*t = 0.
-2/5, 0, 1, 2
Let f = -395 - -315. Let d = -238/3 - f. Determine n, given that -2*n**4 + 0 - 2/3*n**3 + 4/3*n - d*n**5 + 2*n**2 = 0.
-2, -1, 0, 1
Let d = 542 + -511. Factor -5*o**2 - 34*o**2 - d*o**2 + 378*o - 393*o + 20*o**4 - 35*o**3.
5*o*(o - 3)*(o + 1)*(4*o + 1)
Let j(i) = 131*i**2 + 16440*i + 4314. Let c(v) = -11*v**2 - 1370*v - 360. Let m(d) = 70*c(d) + 6*j(d). Solve m(k) = 0.
-171, -1/4
Suppose -3*p + h = 3*h - 80, -2*p + 4*h + 32 = 0. Factor 124*k - k**3 - p - 100*k**2 - 27*k**3 - 5*k**3 - 15*k**3.
-4*(k + 3)*(3*k - 2)*(4*k - 1)
Let l be 3 - 11792/(-55) - (3 + (-11 - 5)). Determine y, given that 94/5*y**2 + 2/5*y**3 - l + 1056/5*y = 0.
-24, 1
Let g(m) be the first derivative of 2*m**5/5 + 125*m**4/4 + 181*m**3/3 - 61*m**2 + 1994. Factor g(y).
y*(y + 2)*(y + 61)*(2*y - 1)
Let v(w) be the third derivative of -w**6/300 - w**5/75 + 29*w**4/60 + 2*w**3 - 3540*w**2. Determine h so that v(h) = 0.
-6, -1, 5
Let n(v) = -22 - 5*v + 26*v**2 - 22 + 41. Let k be n(-3). Find w such that -16*w**2 + k + 2*w**3 - 246 + 2*w**3 + 16*w = 0.
0, 2
Solve -20/7*v - 2*v**2 + 32/7 + 2/7*v**3 = 0.
-2, 1, 8
Factor -54/7*k**2 + 114/7*k - 58/7 - 2/7*k**3.
-2*(k - 1)**2*(k + 29)/7
Let w(q) be the first derivative of -q**7/4200 + 11*q**6/1800 + q**5/24 + 13*q**4/120 + 13*q**3 - 112. Let h(g) be the third derivative of w(g). Factor h(x).
-(x - 13)*(x + 1)**2/5
Suppose 0 = -3*o + d + 3*d + 74, 2*d + 46 = 2*o. Suppose -8*c = c - o. Factor 12*y + 2*y**5 - 32*y**c + 6*y**3 + 18*y**3 - 4*y**5 - 2*y**5.
-4*y*(y - 1)**3*(y + 3)
Let w(q) be the first derivative of -q**6/90 + 2*q**5/15 - 2*q**4/3 + 10*q**3/3 - 3*q - 126. Let u(c) be the third derivative of w(c). Solve u(s) = 0.
2
Let c(l) be the third derivative of -l**5/60 + 11*l**4/8 + 74*l**3/3 + 32*l**2 + 4*l. Factor c(y).
-(y - 37)*(y + 4)
Let t(g) be the first derivative of 3*g**4/8 - 109*g**3/6 - 227*g**2/4 - 115*g/2 - 1339. Suppose t(l) = 0. What is l?
-1, 115/3
Let t(p) = -p**3 - 7*p**2 - 7*p + 2. Let m be t(-6). Suppose 18 = 13*c - m. Find k such that 0*k - 8/11 + 2/11*k**c = 0.
-2, 2
Let q(l) be the second derivative of l**8/840 - l**7/525 + 32*l**2 + 13*l. Let p(j) be the first derivative of q(j). Solve p(s) = 0.
0, 1
Factor -8/7*w + 2/7*w**3 + 208/7 - 52/7*w**2.
2*(w - 26)*(w - 2)*(w + 2)/7
Let g(s) = -s**2 + 18*s - 41. Let f be g(15). Solve -353*r**2 + 36*r + 0*r**3 + f*r**3 + 329*r**2 - 16 = 0.
1, 4
Let w(s) be the second derivative of -20*s - s**3 + 1/300*s**6 - 3 + 5/4*s**2 - 3/50*s**5 + 23/60*s**4. Factor w(c).
(c - 5)**2*(c - 1)**2/10
Let y(q) be the first derivative of -1/15*q**3 - 5041/5*q - 71/5*q**2 - 239. Suppose y(w) = 0. Calculate w.
-71
Suppose 3*t - 19 = -4*y, -5*y + 44*t - 41*t = -17. Let a**3 - 87*a**y + 86*a**4 + 3*a**3 - 5*a**2 + 2*a = 0. Calculate a.
0, 1, 2
Let h be 38369/136 + 3/(-24). Factor -h*c - 25 - 1006*c**2 - 55 + 500*c**2 + 499*c**2.
-(c + 40)*(7*c + 2)
Suppose -24 = -6*z - 2*z. Determine o so that -1148*o - 7*o**4 + 90*o**2 + 1228*o + 2*o**4 - 119 - 2*o**z - 3*o**3 - 41 = 0.
-4, -2, 1, 4
Let y(l) = -l**3 + 26*l**2 + 30*l - 20. Let o be y(27). Suppose 7600*h**2 + o*h**4 + 2500*h - 125*h**4 + 67*h**4 + 301*h**3 = 0. What is h?
-50, -1/3, 0
Suppose 0 = -33*d + 36*d - 6. Suppose 55*u**2 + 1296 + 1008*u + 21*u**d + 120*u**2 = 0. Calculate u.
-18/7
Let h(d) be the third derivative of -129*d**2 - 11/12*d**5 + 0*d + 1/4*d**6 + 0*d**3 - 1/42*d**7 + 5/4*d**4 + 0. Determine l so that h(l) = 0.
0, 1, 2, 3
Determine w so that -1452 + 2337*w + 862*w**2 - 93*w - 1729*w**2 = 0.
22/17
Let z(f) = -f + 38. Let h be z(14). Suppose -4*p + h = 4*l, 3*p - 3*l = 9 + 33. Factor 28*c**2 - p*c - 36*c**2 + 0*c**3 - 4 - 2*c**3.
-2*(c + 1)**2*(c + 2)
Let a(j) be the third derivative of j**4/12 - j**3/6 - 145*j**2. Let r(y) = -y**2 - 19*y - 27. Let q(c) = -6*a(c) - 2*r(c). Factor q(v).
2*(v + 3)*(v + 10)
Find c such that 4*c + 48/17 + 2/17*c**3 + 22/17*c**2 = 0.
-6, -4, -1
Let m be -39 - ((-10)/65 + 4/26). Let q = m - -41. Suppose 26*x**3 - 11*x**3 + q*x**2 - 17*x**3 = 0. What is x?
0, 1
Suppose 10*v + 4*w = 14*v - 888, -4*w = 4*v - 904. Let m be 2 - (4 + v/(-49)). What is p in 6/7*p**5 - 30/7*p**4 + 0 + 0*p + 54/7*p**2 + m*p**3 = 0?
-1, 0, 3
Suppose 2*z = 35*g - 40*g - 46, -3*z + 5*g = -56. Factor -8/5*l**2 + 0 + z*l - 2/5*l**3.
-2*l*(l - 1)*(l + 5)/5
Let f(n) = 534*n - 1534. Let p(i) = -i**2 - 2143*i + 6132. Let q(j) = 9*f(j) + 2*p(j). Find a such that q(a) = 0.
3, 257
Let u be (-1 - -3)/(-12) + 7097/282. Factor 1734 - 216*t - 223*t + 84*t**2 - 343*t + u*t**2 - 2*t**3 - 35*t**2.
-2*(t - 17)**2*(t - 3)
Let u(j) be the first derivative of -j**7/8400 + j**6/900 - j**5/300 - 43*j**3/3 + 60. Let o(q) be the third derivative of u(q). Let o(t) = 0. What is t?
0, 2
Let j(d) be the first derivative of -7*d**4/20 + 496*d**3/3 - 220011*d**2/10 + 62658*d/5 + 2156. Suppose j(x) = 0. What is x?
2/7, 177
Let j = -1337/180 + 1427/180. Factor -j*g**3 - 125/2 - 75/2*g - 15/2*g**2.
-(g + 5)**3/2
Determine i, given that -376/9*i + 17672/9 + 2/9*i**2 = 0.
94
Let b(l) be the first derivative of 1/2*l**4 - 10 + 25*l**2 + 24*l + 28/3*l**3. Factor b(v).
2*(v + 1)**2*(v + 12)
Let u = 1194 - 489. Let m = 4231/6 - u. Factor 1/3 + m*o**2 - 1/2*o.
(o - 2)*(o - 1)/6
Let p(j) = -j**2 + 765*j - 764. Let u be p(1). What is y in -4/5*y**2 + u*y + 0 + 2/15*y**3 = 0?
0, 6
Let l = 27660 - 165955/6. Let m(s) be the first derivative of -1/8*s**4 + 0*s + 3/2*s**2 - l*s**3 - 46. Let m(u) = 0. What is u?
-6, 0, 1
Let s(m) be the second derivative of -m**4/6 - 1384*m**3/3 - 478864*m**2 - m - 5. Factor s(g).
-2*(g + 692)**2
Suppose 16/7 - 10/7*m**3 - 40/7*m + 33/7*m**2 + 1/7*m**4 = 0. What is m?
1, 4
Let j be (-45)/35 + 2 + 441/343. Let x(i) be the second derivative of -i**j + 1/18*i**4 + 0 + 33*i + 2/9*i**3. Suppose x(o) = 0. Calculate o.
-3, 1
Let t(k) = 4*k**2 - 27*k - 7. Let f(d) = -8*d**2 + 63*d + 15. Let m(p) = 3*f(p) + 7*t(p). Factor m(r).
4*(r - 1)*(r + 1)
Let t = 799615/2451426 + 1/17386. Let c = t + 16/47. Factor 4/3 + 0*i**2 - 2*i + c*i**3.
2*(i - 1)**2*(i + 2)