2 - 17*i**2. Let z(t) be the first derivative of w(t). Factor z(x).
(x - 31)**2/8
Let o(m) be the first derivative of -m**3/7 + 585*m**2/14 - 582*m/7 - 3049. Factor o(k).
-3*(k - 194)*(k - 1)/7
Suppose -4 = 9*g - 11*g. Factor -g*o**5 + 55*o**4 + 45*o**3 + 41*o**5 - 19*o**5 - 5*o + 5*o**2.
5*o*(o + 1)**3*(4*o - 1)
Let t(x) be the second derivative of x - 14/3*x**2 + 29 + 1/18*x**4 + 13/9*x**3. Factor t(a).
2*(a - 1)*(a + 14)/3
Let s(z) be the second derivative of -z**5/200 - 7*z**4/120 + 2444*z. Factor s(d).
-d**2*(d + 7)/10
Let x(b) be the first derivative of -b**6/3 - 54*b**5/5 - 136*b**4 - 2488*b**3/3 - 2496*b**2 - 3584*b + 386. Suppose x(k) = 0. Calculate k.
-8, -7, -2
Suppose -4*f = 5*y - 56, -3*f + 4*y - 158 = -169. Let q be (12/f)/(876/73). Factor -q*c**5 + 1/3*c - 1/3*c**4 - 2/9*c**3 + 1/9 + 2/9*c**2.
-(c - 1)*(c + 1)**4/9
Let a = -69 + 71. Suppose 0 = 2*o - 2*t + a, -2*o + 1 = -4*t + 9. Determine s so that 9*s + 35*s - s + 21*s - 256 - 4*s**o = 0.
8
Suppose -437*m - 21*m = -61*m - 794. Let y(w) be the second derivative of 0 - 1/2*w**m + 12*w - 1/48*w**4 + 5/24*w**3. Factor y(x).
-(x - 4)*(x - 1)/4
Let v(t) = 3*t - 4. Let c be v(5). Suppose 5 = s - d, s - c = 3*d + d. Factor -2*p**s - 174*p + 24*p - 2*p**3 + 54*p + 64 + 36*p**2.
-4*(p - 4)**2*(p - 1)
Let m = -396 + 393. Let b be m/(198/(-9) + 1). Factor 1/7 - 2/7*u + 0*u**2 - b*u**4 + 2/7*u**3.
-(u - 1)**3*(u + 1)/7
Let x(t) be the third derivative of -2*t**2 + 0*t + 1/40*t**6 - 1/20*t**5 + 0 - 1/2*t**4 + 2*t**3. Solve x(b) = 0 for b.
-2, 1, 2
Let r(o) = 266*o + 1332. Let i be r(-5). Factor -6/5*g**3 - 8/5*g**i + 0 - 2/5*g.
-2*g*(g + 1)*(3*g + 1)/5
Let u(p) be the second derivative of -459/13*p**2 + 1/195*p**6 + 4/65*p**5 + 144/13*p**3 - 21/13*p**4 + 23*p + 0. Suppose u(t) = 0. Calculate t.
-17, 3
Let o(t) be the first derivative of -6*t**5/55 + 14*t**4/11 - 2*t**3/33 - 68*t**2/11 - 72*t/11 - 2309. Find x such that o(x) = 0.
-1, -2/3, 2, 9
Let o be (0 - -1)/(2/6). Suppose 184 - 178 = 4*r - o*b, 4*r + 5*b + 10 = 0. What is p in -4/3*p**4 - 7/3*p**3 + r + 1/3*p - 2/3*p**2 = 0?
-1, 0, 1/4
Let h(a) be the second derivative of -44/15*a**3 + 13/12*a**4 - 12*a + 8/5*a**2 + 0 + 169/100*a**5. Let h(b) = 0. Calculate b.
-1, 4/13
Determine w so that -721*w**3 - 329*w - 5*w**5 - 1079*w**3 + 165*w**4 + 329*w + 6480*w**2 = 0.
0, 9, 12
Let u be 0/1 + (-3)/(-1). Let r = 12057 - 84397/7. Determine q, given that -4/7*q - r*q**2 + 2/7*q**u + 0 = 0.
-1, 0, 2
Suppose 109 = 4*l - 5*r, 3*l + 0*r = 2*r + 73. Suppose -i + l = w + 2*w, i + w - 15 = 0. Factor i*n**2 - 3*n**3 + 22 - 28 + 3*n - 3*n**2 - 3*n**4.
-3*(n - 1)**2*(n + 1)*(n + 2)
Suppose 42*k**2 + 31*k**2 + 7*k**3 + 7*k**3 - 85 - 158*k - 133*k**2 - 5*k**4 + 6*k**4 = 0. Calculate k.
-17, -1, 5
Let x(y) be the first derivative of -2*y**5/5 - 13*y**4 - 32*y**3 + 355. Factor x(k).
-2*k**2*(k + 2)*(k + 24)
Suppose -f + 1 = q, 4*q - 9 = -4*f + 5*q. Solve -4*p**f - 20*p - 16*p + 134 - 46 = 0.
-11, 2
Let q(x) be the first derivative of 1 - 28*x - 4/3*x**3 + 16*x**2. Suppose q(a) = 0. Calculate a.
1, 7
Let o(p) = 222*p**2 + 1834*p + 39. Let s(c) = 1104*c**2 + 9172*c + 194. Let n(b) = -14*o(b) + 3*s(b). Factor n(a).
4*(a + 9)*(51*a + 1)
Let m = -88 + 82. Let v be (m/32)/(6 + 81/(-12)). Factor 0 - 1/8*a + 1/8*a**5 + 0*a**3 - v*a**4 + 1/4*a**2.
a*(a - 1)**3*(a + 1)/8
Suppose -5*n + 25 - 10 = 0. Factor 20*t + 4*t**2 + 325 + 14*t**n - 313 - 18*t**3.
-4*(t - 3)*(t + 1)**2
Suppose -4/3*l**2 + 16/3*l + 0 = 0. Calculate l.
0, 4
Let y(u) be the second derivative of u**6/10 - 27*u**5/20 + 2*u**4 + 3628*u. Factor y(n).
3*n**2*(n - 8)*(n - 1)
Factor 978*w - 3 + 17847/4*w**2.
3*(9*w + 2)*(661*w - 2)/4
Let l(c) be the second derivative of -c**5/12 + 5*c**4/6 - 5*c**3/2 - 55*c**2 + 10*c + 1. Let v(g) be the first derivative of l(g). Factor v(x).
-5*(x - 3)*(x - 1)
Let a = -51 + 53. Let j be (-77)/(-66)*a/7. Factor -j*m + 1/3*m**2 + 1/9 - 1/9*m**3.
-(m - 1)**3/9
Factor -6/11*h**2 - 2118/11 + 2124/11*h.
-6*(h - 353)*(h - 1)/11
Suppose 2*z - 4*u = -3*z - 102, 3*z + 3*u + 72 = 0. Let q be (17/34)/(z/(-24)). Factor 0*c + 8/11*c**2 + 0 + 2*c**3 - q*c**4.
-2*c**2*(c - 4)*(3*c + 1)/11
Let o(t) be the third derivative of -39*t**2 - 1/20*t**5 - 1/24*t**4 + 0 + 0*t + 1/3*t**3. Factor o(k).
-(k + 1)*(3*k - 2)
Suppose -r - 1101*c - 2 = -1102*c, -3*c = 4*r - 27. Let h(p) be the first derivative of 30 - 4/3*p**r - 4*p**2 + 1/5*p**5 + 0*p + 1/2*p**4. Factor h(l).
l*(l - 2)*(l + 2)**2
Factor 14/9*o**2 - 268*o + 688/9.
2*(o - 172)*(7*o - 2)/9
Let s = 10051 - 10051. Let q(f) be the first derivative of f**3 - 3/4*f**4 + s*f + 3*f**2 - 21. Factor q(z).
-3*z*(z - 2)*(z + 1)
Let h be 3/(27/99) + (-3699)/351. Factor -2/13*t**3 - h + 6/13*t**2 + 2/13*t.
-2*(t - 3)*(t - 1)*(t + 1)/13
Let n(c) be the second derivative of 5*c**4/12 + 115*c**3/3 - 3*c + 195. Find l such that n(l) = 0.
-46, 0
Let r be 3 - -23 - 15 - (2 + 5). Let g(b) be the second derivative of -9*b + 0*b**3 + 0 - 1/20*b**2 + 1/120*b**r. Let g(s) = 0. What is s?
-1, 1
Let l = -309924/5 - -62009. Factor 99/5*w + 21/5*w**2 - l + 1/5*w**3.
(w - 1)*(w + 11)**2/5
Let t(c) be the third derivative of c**5/660 - 5*c**4/132 - 24*c**3/11 + 54*c**2 - 13. Solve t(i) = 0 for i.
-8, 18
Let i(v) = -2*v**2 + 41*v + 16. Let r(o) = 7*o**2 - 113*o - 48. Let j(s) = -8*i(s) - 3*r(s). Solve j(x) = 0.
-1, 16/5
Let w = -88 + 91. Suppose 0 = v - 1, x + v = w + 1. Factor -3*o**2 - 6 + 228*o**3 + 3*o**2 - 226*o**x - 2*o + 6*o**2.
2*(o - 1)*(o + 1)*(o + 3)
Suppose -4*j = -8, 0 = -2*i + 2*j + j - 12. Let s be ((-1)/(-3))/(i/(-225)). Suppose 4*c**2 - 17*c**3 - 27*c**4 + 62*c**3 + 2*c - s*c**2 + c = 0. Calculate c.
0, 1/3, 1
Let k = -1609189 - -1609193. Solve 2/3*s**k + 4/3*s + 1/3*s**5 + 8/3 - 10/3*s**2 - 5/3*s**3 = 0 for s.
-2, -1, 1, 2
Suppose 21*w + 47763 = 50*w. Solve w*x - 201*x**3 + 1843 + 325*x**2 + 99*x**3 + 97*x**3 + 3277 - 7087*x = 0.
1, 32
Let z(i) = -i**3 + 20*i**2 - 20*i - 286. Let w be z(18). Factor 33/2*h**w - 363*h - 1/4*h**3 + 2662.
-(h - 22)**3/4
Let t(f) be the first derivative of f**6/6 + 11*f**5/5 + 15*f**4/4 - 35*f**3/3 - 38*f**2 - 36*f - 4300. Solve t(g) = 0.
-9, -2, -1, 2
Let l(m) be the second derivative of m**7/168 - m**6/40 - m**5/20 + m**4/4 + 13*m + 44. Find b such that l(b) = 0.
-2, 0, 2, 3
Suppose -2827 + 2707 = -60*n. Determine a so that -3/2*a**4 - 3/4*a**3 + 0 + 0*a + 3/4*a**5 + 3/2*a**n = 0.
-1, 0, 1, 2
Let t = -28 - -21. Let a(x) = x**2 - 2*x - 14. Let n be a(t). Find p such that 10*p + 200*p**3 + 1 + 95*p**2 - 1 - 76*p**4 - n*p**4 = 0.
-1/5, 0, 2
Suppose -5*b - 160 = -37*b. Let -20 - b*d - d**2 - 3 + 9*d + 32*d - 12 = 0. Calculate d.
1, 35
Let z(w) be the second derivative of w**6/75 + 9*w**5/25 + 61*w**4/30 - 12*w**3 + 20*w**2 - 395*w. Solve z(y) = 0 for y.
-10, 1
Let p be (14/4)/(-7) + 25/2. Factor 3179*i - i**2 + 3*i**2 + p - 3169*i.
2*(i + 2)*(i + 3)
Suppose 27*m = 89*m - 15*m - 188. Factor 1/2*c**2 - 3/4 + 1/4*c**m - c**3 + c.
(c - 3)*(c - 1)**2*(c + 1)/4
Let x = -3614 - -3619. Let s(i) be the third derivative of 8*i**2 + 0*i + 0*i**3 + 1/540*i**6 + 0*i**4 + 0 - 1/135*i**x. Factor s(y).
2*y**2*(y - 2)/9
Factor -958*d**4 + 174605*d**2 - 632*d**3 + 2563280 + 963*d**4 - 1198*d**3 - 1310280*d.
5*(d - 179)**2*(d - 4)**2
Let f(b) = -10*b**3 + 17*b**2 - 12*b + 16. Let r(w) = 29*w**3 - 52*w**2 + 36*w - 41. Let y(p) = -11*f(p) - 4*r(p). Determine c, given that y(c) = 0.
-1/2, 2
Let f(i) = i**3 + 604*i**2 + 3465*i + 5094. Let k(z) = 3*z**3 + 1207*z**2 + 6930*z + 10197. Let s(q) = -7*f(q) + 4*k(q). Factor s(b).
5*(b + 3)**2*(b + 114)
Let c(h) be the first derivative of 70*h**6 + 296*h**5/5 - 554*h**4 + 1888*h**3/3 - 206*h**2 + 24*h - 1251. Determine i, given that c(i) = 0.
-3, 2/21, 1/5, 1
Let k(t) = 14*t**3 + 26*t**2 - 132*t. Let m(s) = 12*s**3 + 27*s**2 - 129*s. Let c(x) = -10*k(x) + 12*m(x). Solve c(d) = 0.
-19, 0, 3
Let v(c) be the third derivative of -35/32*c**4 + 0*c + 49/6*c**3 - 1/480*c**6 + 3/40*c**5 + 83*c**2 + 0. Suppose v(a) = 0. Calculate a.
4, 7
Let j be 1 - 1/(2/(-4)). Let p = 2260 - 2257. Let j*m**3 + 17*m**4 - 17*m**4 - p*m**5 = 0. Calculate m.
-1, 0, 1
Let s(k) be the third derivative of k**6/96 - 31*k**5/48 + 15*k**4/2 + 675*k**3/2 + 10*k**2 + 36*k. Let s(v) = 0. Calculate v.
-5, 18
Let l(z) = -z**4. Let m(t) = 85*t*