+ 774 = 0, m + 3*n = 386. Let q = -387 + m. Determine g, given that 0 - 1/4*g**2 + 0*g + 1/4*g**3 + 1/4*g**4 - 1/4*g**q = 0.
-1, 0, 1
Let o(u) be the third derivative of -u**6/660 + 3*u**5/110 - 2*u**4/11 + 16*u**3/33 - 3*u**2 + 421. Let o(j) = 0. Calculate j.
1, 4
Let b(l) be the second derivative of l - 12*l**4 + 0 - 11/5*l**5 - 32/3*l**3 - 2/15*l**6 - 13/2*l**2. Let q(z) be the first derivative of b(z). Factor q(i).
-4*(i + 4)**2*(4*i + 1)
Let c(n) be the second derivative of -14/3*n**3 - 39 + 2/15*n**6 + 3/5*n**5 - n**4 + 2*n + 12*n**2. Let c(q) = 0. What is q?
-3, -2, 1
Let x = 656 - 653. Determine p, given that -267*p - 28 + 4*p**2 - x*p**2 + 283*p + 11 = 0.
-17, 1
Let c(b) = -4*b**4 - b**3 - b**2 + b - 1. Let k(p) = 19*p**4 + 25*p**3 + 52*p**2 - 71*p + 5. Let n(i) = 5*c(i) + k(i). What is u in n(u) = 0?
-3, 0, 1, 22
Let q(h) = -2*h - h**2 - 716 + 9*h + 716. Let z = 67 - 61. Let r(w) = w**2 - 6*w + 1. Let x(o) = z*r(o) + 4*q(o). Let x(l) = 0. Calculate l.
1, 3
Let j(a) be the first derivative of -9*a**2/2 - 216*a + 225. Let b be j(-24). Solve 2*t**2 + b + 1/2*t**3 - 5/2*t = 0 for t.
-5, 0, 1
Factor 2408/11*u + 12/11*u**3 - 392/11 - 338/11*u**2.
2*(u - 14)**2*(6*u - 1)/11
Let g be 411/7 + (-70)/(-245). Solve 1425*a**3 + g*a**2 - 1345*a**3 - 20*a**4 - 9*a**5 - 10 + 51*a**2 + 25*a - 16*a**5 = 0.
-1, 1/5, 2
Let t(g) be the third derivative of -11*g**6/840 - 13*g**5/12 - 41*g**4/42 - 106*g**2. Factor t(m).
-m*(m + 41)*(11*m + 4)/7
Let x(h) be the first derivative of -2*h**3 - 1/40*h**6 + 0*h - 1/4*h**5 - h**4 + 27 - 13*h**2. Let y(i) be the second derivative of x(i). Factor y(f).
-3*(f + 1)*(f + 2)**2
Suppose -i = 2*w - 165, 4*w - 6*i + 2*i = 360. Find d such that 41*d - w*d + 7*d**2 + 46*d = 0.
-2/7, 0
Let d(u) be the second derivative of u**7/14 - 41*u**6/2 + 1221*u**5/20 - 203*u**4/4 + 809*u. What is v in d(v) = 0?
0, 1, 203
Let q(d) be the second derivative of -d**5/10 - 25*d**4/6 - 22*d**3/3 + 48*d**2 - 1419*d. Let q(n) = 0. What is n?
-24, -2, 1
Let h be ((-520)/(-30))/(-26) - 176/(-156). Solve 300/13*w**2 - 64/13*w - 230/13*w**3 - 64/13 + 64/13*w**4 - h*w**5 = 0.
-1/3, 1, 2, 4
Factor 4/5*c**3 - 36/5 - 68/5*c - 28/5*c**2.
4*(c - 9)*(c + 1)**2/5
Let l(k) be the second derivative of k**6/15 - 5*k**5/2 + 47*k**4/3 + 40*k**3 - 1298*k. Suppose l(n) = 0. What is n?
-1, 0, 6, 20
Let p = 7/424 - -2007/424. Factor -p*w - 5 + 1/4*w**2.
(w - 20)*(w + 1)/4
Let j(r) be the third derivative of r**5/60 + 3*r**2 - 36*r. Let b be 1/((-1 - 0)*1). Let s(v) = 2*v**2 - 8*v - 16. Let t(n) = b*s(n) + 3*j(n). Factor t(z).
(z + 4)**2
Let k(w) be the third derivative of -w**5/240 - 85*w**4/96 - 7*w**3/2 + w**2 + 496. Factor k(o).
-(o + 1)*(o + 84)/4
Factor -1/5*k**3 + 14/5*k**2 + 0 + 3*k.
-k*(k - 15)*(k + 1)/5
Let k(s) be the first derivative of -s**5/30 - s**4/18 + 2*s**3/3 + 157*s - 149. Let z(d) be the first derivative of k(d). Determine o so that z(o) = 0.
-3, 0, 2
Find a such that 848*a**2 + 1060 + 979*a**3 - 2685*a**4 + 777*a**2 + 25*a**5 + 2716*a**3 - 5237*a + 1517*a = 0.
-1, 2/5, 1, 106
Let a be (-9 - 15)*(1 + -5). Suppose -405*h**3 + 16*h**2 + 407*h**3 - 2*h**2 + a - 88*h + 2*h**2 = 0. Calculate h.
-12, 2
Determine b, given that -38555*b**4 + 38558*b**4 - 12*b**2 + 3*b**2 - 6*b = 0.
-1, 0, 2
Suppose 0 - 1/5*w**3 - 2/5*w**2 - 1/5*w = 0. What is w?
-1, 0
Factor -8/11 + 186/11*m**2 + 368/11*m.
2*(m + 2)*(93*m - 2)/11
Solve 210 - 78*j - 33/2*j**2 + 3/2*j**3 = 0 for j.
-5, 2, 14
Let d(o) = -36*o**2 + o. Let i(n) = 864*n**2 + 302*n - 8. Let a(u) = -6*d(u) - i(u). Factor a(y).
-4*(2*y + 1)*(81*y - 2)
Let c = 10 - 6. Let t be (-779)/(-902) + (60/(-55))/3. Find a, given that a**c + t*a**5 + 0*a - 4*a**2 + 0 - 2*a**3 = 0.
-2, 0, 2
Let a(v) be the third derivative of v**5/180 - 5*v**4/72 - v**3/3 - 3*v**2 - 94*v. Solve a(y) = 0.
-1, 6
Let w(f) be the second derivative of 0 + 10*f**2 - 25/6*f**3 - 34*f + 5/12*f**4. Factor w(q).
5*(q - 4)*(q - 1)
Let u(h) be the second derivative of -h**5/30 - h**4/4 + 35*h**2/2 + 25*h - 3. Let w(j) be the first derivative of u(j). Solve w(b) = 0.
-3, 0
Let k(a) = -6*a + 13. Let f be k(-2). Suppose 4 = f*s - 24*s. Solve 4/11*n**3 + 0*n - 2/11*n**s + 0 + 0*n**2 = 0.
0, 2
Let p be 343/42 - 4/(-3 - -27). Let l = -136 + 684/5. Solve l + p*y**2 - 8*y**3 + 4*y**4 - 4*y - 4/5*y**5 = 0 for y.
1
Let o(m) be the second derivative of m**5/4 + 115*m**4 + 4105*m**3/6 + 1365*m**2 - 73*m - 67. What is b in o(b) = 0?
-273, -2, -1
Let p(s) be the first derivative of -s**6/12 - 9*s**5/2 - 483*s**4/8 + 529*s**3/6 + 5760. Find b, given that p(b) = 0.
-23, 0, 1
Let s = -1645 - -424. Let k = s + 1223. Solve 2/15*p**k - 2/15*p + 0 = 0 for p.
0, 1
Let w(y) = y**2 + 7*y - 5. Let p be w(2). Let g(a) be the third derivative of -1/60*a**6 + 0*a - 1/6*a**4 - p*a**2 - 1/10*a**5 + 0*a**3 + 0. Factor g(l).
-2*l*(l + 1)*(l + 2)
Let d = -112 + 260. Let z = d - 436/3. Suppose 4/3*j + 2/3*j**4 + 0 + z*j**3 + 10/3*j**2 = 0. Calculate j.
-2, -1, 0
Let x be ((-55404)/2090 - -33) + 4/(-44). What is h in 2/5*h**2 - x*h + 128/5 = 0?
8
Suppose -3*o + 22 = 2*i + 3*i, -i - 4*o = -18. Factor -7*p**3 - 1 - 2*p**3 + i*p**3 + 60*p - 11*p**3 - 8 - 33*p**2.
-3*(p - 1)*(p + 3)*(6*p - 1)
Let x(c) be the first derivative of 3/5*c**5 - 20*c**3 + 9/4*c**4 - 240*c - 126*c**2 + 234. Let x(b) = 0. Calculate b.
-4, -2, 5
Let c = -268315 - -268317. Find f such that -16/3*f - 8/3 - 2/3*f**3 - 10/3*f**c = 0.
-2, -1
Let f = 1937/30 + -385/6. Let z = 173 - 863/5. Let 0*u - f + z*u**2 = 0. What is u?
-1, 1
Let k(p) be the first derivative of 2*p**4 - 1/3*p**6 - 3*p**2 + 0*p**5 + 51 + 4/3*p**3 - 4*p. Let k(f) = 0. What is f?
-1, 1, 2
Suppose -954*a - 265*a + 2438 = 0. Let l be (54/14)/3 - 0. Determine j so that 0 - 6/7*j - 3/7*j**3 + l*j**a = 0.
0, 1, 2
Find t, given that 28/3*t**4 - 2/3*t**5 + 200*t - 40/3*t**2 + 0 - 106/3*t**3 = 0.
-2, 0, 5, 6
Let g be (14/(-4) + (-188)/(-47))*(10 + -2). Factor -4/7*y + 0 + 10/7*y**2 + 2/7*y**g - 8/7*y**3.
2*y*(y - 2)*(y - 1)**2/7
Let r(g) be the second derivative of g**5/50 + 11*g**4/6 + 952*g**3/15 + 5292*g**2/5 - g - 1139. Suppose r(n) = 0. Calculate n.
-27, -14
Suppose 124*d + 106*d = -144*d + 748. Suppose 16/5*p + 62/5*p**d + 0 - 8/5*p**3 = 0. Calculate p.
-1/4, 0, 8
Let o(p) be the first derivative of 1/18*p**3 - 78 - p + 5/12*p**2. Solve o(m) = 0.
-6, 1
Let i(h) be the first derivative of 0*h - 27/11*h**6 + 36/5*h**5 - 157/22*h**4 + 8/3*h**3 + 108 - 4/11*h**2. Solve i(k) = 0.
0, 2/9, 1
Let u = 4453/3 - 512047/345. Let m = u - -412/345. Factor -4/3*l + m - l**2 + 4/3*l**3 - 1/3*l**4.
-(l - 2)**2*(l - 1)*(l + 1)/3
Let h(q) be the first derivative of 1152/7*q**2 - 237 - 48/7*q**3 + 3/28*q**4 - 12288/7*q. Factor h(y).
3*(y - 16)**3/7
Let u(x) be the first derivative of x**7/350 - x**6/50 + 3*x**5/100 + 25*x**2 - 55. Let y(p) be the second derivative of u(p). Factor y(o).
3*o**2*(o - 3)*(o - 1)/5
Let b(l) be the second derivative of l**4/54 - 2174*l**3/27 + 1181569*l**2/9 - 999*l - 1. Factor b(k).
2*(k - 1087)**2/9
Let r(t) = 20*t**2 - 588*t - 592. Let j(c) = -3*c**2 + 1. Let x(d) = -8*j(d) - r(d). Factor x(u).
4*(u + 1)*(u + 146)
Suppose i + 4*i = 229 - 219. Let a = -3/58 + 125/174. Let -a + 1/6*d**i + 1/2*d = 0. What is d?
-4, 1
Let k be ((-42)/9)/(19/(-6) - -3). Let t be (k/(-70))/((-2)/50). Factor -5*f**2 + 16*f**3 - 5*f - 21*f**3 + t*f**3 + 5*f**4.
5*f*(f - 1)*(f + 1)**2
Suppose 32569 - 77648 = -61*o. Let c = 2219/3 - o. Factor 0 - c*p**2 - 4/9*p - 2/9*p**3.
-2*p*(p + 1)*(p + 2)/9
Let w(b) be the second derivative of 867*b**4/14 - 34*b**3 + 7*b**2 + 12098*b. Let w(d) = 0. What is d?
7/51
Let t(w) be the first derivative of 63*w**4/16 - 551*w**3/6 - 143*w**2/2 - 18*w - 3868. Let t(p) = 0. Calculate p.
-2/7, -2/9, 18
Let z(i) = -30*i - 27. Let s be z(-1). Let 2*c**s + 11*c**3 - 4 + 3*c - 15*c**3 - 4*c + 3*c**2 + 5*c - c**4 = 0. Calculate c.
-2, 1
Let r = -39/4445 - -471287/13335. Determine t so that -8/3 + r*t**4 + 112/3*t**3 + 28/3*t**5 - 32/3*t + 10/3*t**2 = 0.
-2, -1, -2/7, 1/2
Factor -1/6*b**3 + 17*b**2 + 2500/3 - 450*b.
-(b - 50)**2*(b - 2)/6
Determine o so that 2837*o**4 - 3174*o**5 + 776*o - 236*o - 3902*o**2 + 8548*o**4 - 7320*o**3 - 1873*o**2 - 16 + 4 = 0.
-1/2, 1/23, 2
Let -19 + 247*b**2 + 367*b + 2350*b**3 - 2348*b**3 + 141 = 0. Calculate b.
