5, 343 - u = 2*i + c. Solve 51 + 56 - i + 2*r**2 - 12*r = 0.
0, 6
Let -48668 + 3174*y + 1/2*y**3 - 69*y**2 = 0. Calculate y.
46
Factor 3*l**4 + 6105*l - 8*l**4 + 5990 - 325*l**3 - 5105*l**2 + 7765 - 2865.
-5*(l - 2)*(l + 1)*(l + 33)**2
Suppose -3*t = 4*a + 460, 0 = -4*a + 18 + 2. Let g = t - -162. Suppose -2/3*i**g + 0*i + 2/3 = 0. Calculate i.
-1, 1
Let f = -2283 + 2229. Let n be 1/((-36)/f + (2 - 1)). Factor -18/5*o**2 + 27/5*o + n*o**3 - 12/5.
3*(o - 4)*(o - 1)**2/5
Let m(u) = 4*u**2. Let n(j) = -43*j**2 + 808*j + 163216. Let y(f) = 22*m(f) + 2*n(f). Factor y(g).
2*(g + 404)**2
Let y be 16/18*(-24 + 6936/288). Let t(h) be the first derivative of 5/9*h**2 + y*h**3 + 4/3*h + 22. Suppose t(d) = 0. What is d?
-3, -2
Let l(w) be the third derivative of w**8/2352 - 11*w**7/1470 - 19*w**6/840 + 83*w**5/420 + 3*w**4/28 - 12*w**3/7 + 1420*w**2 + w. Determine z so that l(z) = 0.
-3, -1, 1, 2, 12
Suppose -r = 1, 4*y = -0*y - 5*r + 11. Suppose 0 = y*p - 3*p - 3. Factor -p*g**2 - g**2 - 3*g + 4*g.
-g*(4*g - 1)
Let w(j) be the first derivative of -j**3 + 81*j**2 + 165*j - 2507. Factor w(b).
-3*(b - 55)*(b + 1)
Solve -75*g**3 + 52*g**4 - 512*g - 48956*g**5 - 640*g**2 + 48952*g**5 + 3*g**3 = 0 for g.
-2, -1, 0, 8
Factor 4*g + 9*g**2 + 50*g**2 - 63*g**2.
-4*g*(g - 1)
Suppose -3*w = q - 5*q + 6, 3*w + 5*q = 21. Let z(o) be the first derivative of -1/8*o**4 + 1/4*o + 5/12*o**3 - 1/2*o**w + 2. Factor z(n).
-(n - 1)**2*(2*n - 1)/4
Let r(n) be the first derivative of -n**7/315 + n**6/30 - 3*n**5/20 + 3*n**4/8 - 23*n**3/3 - 7. Let o(x) be the third derivative of r(x). Factor o(y).
-(2*y - 3)**3/3
Suppose 8*w - 9*w + 2 = -5*p, w + 3*p - 18 = 0. Suppose -18*r = -21*r + w. What is b in 4/5*b - 4/5*b**3 - 2/5*b**r + 2/5 + 0*b**2 = 0?
-1, 1
Let s be (-20)/96*-6*7396. Factor 234*n + 63*n + 25*n + 2*n**2 + 108*n - s - 7*n**2.
-5*(n - 43)**2
Let d(p) = p**2 - 12. Suppose 18*n + 28 = 11*n. Let m be d(n). Factor 5*k**4 - 20 + 5*k**m + 14*k**2 - 10*k**3 - 15*k**4 + k**2 + 20*k.
-5*(k - 1)**2*(k + 2)**2
Let f be (-5)/9 + 96/108. Let y(a) be the second derivative of 24*a - 2*a**3 + 4*a**2 + f*a**4 + 0. Factor y(k).
4*(k - 2)*(k - 1)
Factor 3*g**3 + 95 - 14 + 333 + 3277*g - 1618*g - 1608*g - 72*g**2.
3*(g - 23)*(g - 3)*(g + 2)
Suppose -10*h - 311 = -471. Suppose 4*g + h*o = 21*o + 8, -5*o = 0. Suppose 2/3*t**g - 2/9*t**3 + 2/9 - 2/3*t = 0. What is t?
1
Let j(f) = -31*f**3 - 12490*f**2 + 7495*f + 4984. Let q(k) = 30*k**3 + 12485*k**2 - 7495*k - 4985. Let w(s) = 5*j(s) + 6*q(s). Determine d so that w(d) = 0.
-499, -2/5, 1
Let p = -7365 + 7407. Let s(j) be the first derivative of -p*j**3 - 96*j + 144*j**2 + 37 + 15/4*j**4. Factor s(h).
3*(h - 4)**2*(5*h - 2)
Let d(h) = 15*h**2 + 492*h + 3396. Let b(s) = -6*s**2 + 98*s + 9*s**2 + 280 + 345 + 54. Let i(y) = 21*b(y) - 4*d(y). Factor i(p).
3*(p + 15)**2
Let h(c) be the second derivative of -1/30*c**6 + 0*c**3 + 0*c**2 + 0 + 17/20*c**5 - 4/3*c**4 - 126*c. Let h(q) = 0. What is q?
0, 1, 16
Factor 0*f + 1/3*f**4 - 10/3*f**3 + 8*f**2 + 0.
f**2*(f - 6)*(f - 4)/3
Let u(r) be the third derivative of -121*r**7/315 + 2959*r**6/60 - 536*r**5/15 + 73*r**4/9 - 1420*r**2. Determine b so that u(b) = 0.
0, 2/11, 73
Find u, given that 351/2 + 6*u**3 + 306*u + 201/2*u**2 = 0.
-13, -3, -3/4
Let l(r) be the second derivative of r**5/12 - 15*r**4/4 + 135*r**3/2 - 52*r**2 - 35*r. Let p(n) be the first derivative of l(n). Factor p(g).
5*(g - 9)**2
Suppose 151/6*l - 1/6*l**2 + 0 = 0. What is l?
0, 151
Let t = -3252/19 - -39043/228. Let d(u) be the second derivative of -17*u + 2*u**2 + 2/3*u**3 + t*u**4 + 0. Let d(g) = 0. Calculate g.
-2
Let l be 22 - (37 - 177)/(-7). Factor 0 + 2*t**l - 8/7*t - 4/7*t**3 - 2/7*t**4.
-2*t*(t - 1)**2*(t + 4)/7
Factor 321*l - 20*l**3 + 386*l + 3515*l**2 - 34*l + 337*l - 130*l.
-5*l*(l - 176)*(4*l + 1)
Let c(f) = -f**2 + 81*f - 518. Let d be c(74). Let b(v) be the second derivative of 0 + 25*v - 2/15*v**3 + d*v**2 + 1/15*v**4. What is i in b(i) = 0?
0, 1
Let w(u) be the first derivative of 25*u**4/12 - 5*u**3/2 - 5*u**2 + 58*u + 6. Let i(k) be the first derivative of w(k). Factor i(n).
5*(n - 1)*(5*n + 2)
Solve -1212/7*v**2 - 6/7*v**5 - 934/7*v**3 + 3888/7 - 136/7*v**4 + 5400/7*v = 0.
-9, -6, -2/3, 2
Let t(b) be the second derivative of b**4/30 + 286*b**3/5 + 184041*b**2/5 + 519*b. Factor t(i).
2*(i + 429)**2/5
Suppose -7*w = 43*w - 250. Let u be w*2/(-21)*(-588)/490. Solve -3/7*c**3 + 0 - 1/7*c - u*c**2 = 0.
-1, -1/3, 0
Let b(h) be the third derivative of 1/20*h**4 + 0*h**3 + 1/1680*h**8 - 94*h**2 + 0*h - 1/1050*h**7 + 1/300*h**5 - 7/600*h**6 + 0. Solve b(u) = 0.
-2, -1, 0, 1, 3
Let x(i) be the first derivative of -i**4/2 + 58*i**3/3 + 336*i**2 - 21888*i - 3202. Determine c, given that x(c) = 0.
-19, 24
Suppose 758*a - 1270 = 123*a. Suppose -3/4*m**3 - 2*m**a + 1/2 - 3/4*m = 0. What is m?
-2, -1, 1/3
Factor 2/3*s**2 + 56/3*s - 58/3.
2*(s - 1)*(s + 29)/3
Let m(r) be the first derivative of -r**3/21 + 265*r**2/14 - 264*r/7 - 1591. Find x such that m(x) = 0.
1, 264
Suppose 0 = z - 6 - 0. Let t(b) = 4*b + 8. Let j be t(z). Factor 6 - 3 - 29*d**2 + j*d**2 + 6*d.
3*(d + 1)**2
Let x(j) = -j**2 + 2*j - 3. Let b be x(2). Let k be (b + -1)*(0 - (-6)/(-8)). Factor -d - 15*d**2 - k*d + 11*d**2.
-4*d*(d + 1)
Suppose m**5 + 212*m - 278*m**4 - 212*m - 2*m**5 + 3*m**5 = 0. What is m?
0, 139
Let b = 32 - 67. Let w(a) = 1 + 7*a - 9*a + 2*a + a. Let k(u) = -u**4 + 8*u**3 - 24*u**2 + 39*u - 9. Let l(t) = b*w(t) + 5*k(t). Factor l(y).
-5*(y - 2)**4
Let v = 82766/9 - 82706/9. Suppose 1/9*y**5 + 4*y + 10/9*y**4 - v*y**2 + 13/9*y**3 + 0 = 0. Calculate y.
-6, 0, 1
Let v(i) = 15*i - 132. Let f be v(9). Suppose 5 = -f*u - 5*b, -37*u + 2*b + 28 = -33*u. Factor -25/2*r**3 + 19*r**2 - 14*r + 4*r**4 + 4 - 1/2*r**u.
-(r - 2)**3*(r - 1)**2/2
Determine z, given that -258*z**2 + 169/2*z**4 - 8 + 98*z - 559/2*z**3 = 0.
-1, 2/13, 4
Let d(x) be the second derivative of x**7/42 - x**6/3 - 3*x**5/20 + 8*x**4/3 - 10*x**3/3 + 1622*x. Determine o, given that d(o) = 0.
-2, 0, 1, 10
Let q(a) be the third derivative of -a**7/140 + 67*a**6/40 - 1449*a**5/10 + 8993*a**4/2 + 97336*a**3 + 7*a**2 + 63*a. Factor q(m).
-3*(m - 46)**3*(m + 4)/2
Let i = 1 + 2. Let r(g) = -g**4 - 14*g**3 - 2*g**2 + 23*g + 5. Let m(a) = 2*a**3 + a**2 - a - 1. Let q(j) = i*r(j) + 15*m(j). Find u, given that q(u) = 0.
-3, 0, 2
Let r = 144833112/209 - 692985. Let t = -65/19 - r. Factor 2/11*h + t*h**2 + 0.
2*h*(h + 1)/11
Let z(s) be the first derivative of 1/20*s**5 - 21/16*s**4 - 25/2*s**2 + 0*s - 109 + 10*s**3. Factor z(p).
p*(p - 10)**2*(p - 1)/4
Let c be (-60)/(-160) + 1/(-3). Let i(m) be the third derivative of 0 - 1/42*m**7 + 6*m**2 + 10/3*m**3 + c*m**6 + 3/4*m**5 + 0*m + 55/24*m**4. Factor i(w).
-5*(w - 4)*(w + 1)**3
Suppose -3*q - w - 75 = -69, -18 = q + 3*w. Let g(f) be the second derivative of 0*f**2 + q - 11*f + 3/2*f**4 + 7/10*f**5 + 2/3*f**3. Factor g(a).
2*a*(a + 1)*(7*a + 2)
Let b(l) be the third derivative of l**5/140 - 95*l**4/56 + 43*l**2 - 10. Solve b(c) = 0 for c.
0, 95
Let v = 1 + -1. Let r be 15*(2/10 - v). Find n, given that 4 - 1 + 13*n**3 + r*n - 28*n**3 - 3*n**2 + 12*n**3 = 0.
-1, 1
Let s = 123429 + -123424. Determine h, given that 15 - 5/4*h**2 - s*h = 0.
-6, 2
Suppose 11*i - 474 = 9*i. Factor -7*k + 100*k + 10 - 35*k + 285*k**2 + i*k.
5*(k + 1)*(57*k + 2)
Let v(x) be the third derivative of -5*x**8/112 - 4*x**7/21 + 5*x**6/24 + 5*x**5/2 + 35*x**4/6 + 20*x**3/3 - 380*x**2 - x. Suppose v(l) = 0. Calculate l.
-2, -1, -2/3, 2
Let g(c) be the third derivative of 1/10*c**3 - 1 - 16*c**2 + 0*c + 23/240*c**4 + 7/600*c**5. Factor g(j).
(j + 3)*(7*j + 2)/10
Let q be (-4)/(-9)*(-90)/(-840). Let s(a) be the first derivative of -1/7*a**2 + q*a**6 + 4/35*a**5 + 0*a**4 - 4/21*a**3 + 0*a - 11. Factor s(b).
2*b*(b - 1)*(b + 1)**3/7
Let q be (-1)/3*14*((-115 - 34) + 44). Let -q*k + 1/2*k**4 + 231*k**2 - 39/2*k**3 - 4116 = 0. Calculate k.
-3, 14
Factor -63*v + 0 + 1/3*v**3 - 20*v**2.
v*(v - 63)*(v + 3)/3
Let w(f) be the third derivative of -f**8/112 + 169*f**7/10 - 65564*f**6/5 + 25802912*f**5/5 - 946603264*f**4 - 3838281728*f**3 - 1401*f**2. Factor w(z).
-3*(z - 296)**4*(z + 1)
Let q be 1 + 0 - (87 - 88). Let w(g) be the second derivative of -1/6*g**q + 12*g + 0 + 1/72*g**4 + 1/36*g**3. 