**2*(7*m + 2)/3
Find u, given that -50/9 + 17/3*u - 1/9*u**2 = 0.
1, 50
Suppose -3*y = -y. Suppose y = 5*l + 4*w - 33, -2*l + 3*w - 21 = -5*l. Find r, given that -r**l + 2*r**5 - 2*r**5 + r**4 = 0.
0, 1
Suppose -7*a + 5*a + 112 = 4*r, -4*r + 162 = 3*a. Let c be (20/(-5) + 12)/(a/5). Suppose -16/5*q - c*q**2 - 6/5*q**4 + 0 + 26/5*q**3 = 0. Calculate q.
-2/3, 0, 1, 4
Let s(w) be the second derivative of -w**5/30 - 5*w**4/12 + 2*w**3 + 49*w**2/2 + 9*w + 1. Let o(b) be the first derivative of s(b). Suppose o(m) = 0. What is m?
-6, 1
Let -4/3*p**3 + 10/3*p**2 + 0 - 2/3*p**4 + 4*p = 0. What is p?
-3, -1, 0, 2
Factor 903*t + 729 - 314 + 769 + 663*t + 385 - 3*t**2.
-3*(t - 523)*(t + 1)
Find o, given that 2/5*o**2 - 1234/5 + 1232/5*o = 0.
-617, 1
Let d(n) be the first derivative of -3*n**5/5 - 9*n**4/4 + 62*n**3 - 144*n**2 - 480*n - 1194. Determine m, given that d(m) = 0.
-10, -1, 4
Let l(b) be the first derivative of -1/12*b**3 - 45 - 3/8*b**2 + b. Factor l(i).
-(i - 1)*(i + 4)/4
Let x(b) be the second derivative of b**4/20 - 39*b**3/2 - 294*b**2/5 - 1107*b. Let x(j) = 0. Calculate j.
-1, 196
Let r(g) = g**3 - 9*g**2 + 8*g + 3. Let j be r(8). Suppose -2*i = -j*i + c + 7, 5*i - 3*c = 27. Factor 5*u**i - 118 + 118 - 5*u.
5*u*(u - 1)*(u + 1)
Let s(y) be the first derivative of -3*y**5/40 + 129*y**4/8 + 173*y**3/8 + 417. Factor s(a).
-3*a**2*(a - 173)*(a + 1)/8
Let d(i) be the first derivative of 115/3*i**3 + 20*i + 50*i**2 + 35/4*i**4 + 300. Factor d(m).
5*(m + 1)*(m + 2)*(7*m + 2)
Let j(l) be the third derivative of -l**6/120 - 221*l**5/60 - 4033*l**4/8 + 4107*l**3/2 - 329*l**2. Let j(v) = 0. Calculate v.
-111, 1
Solve 3000 - 900*v + 135/2*v**2 - 3/2*v**3 = 0.
5, 20
Suppose 11*w + 26420 = 13*w. Factor -13165*u**2 + 11*u - 15*u**3 - 5*u**4 + w*u**2 - 36*u.
-5*u*(u - 1)**2*(u + 5)
Let g = 266 - 245. Factor 6*n**2 - 39*n**2 + 72 - 12*n + 3*n**4 - 9*n**3 - g*n**2.
3*(n - 6)*(n - 1)*(n + 2)**2
Let s = -27 - -31. Let g(v) be the first derivative of 5*v - 11 + v**5 + 9*v**4 - s*v**4 + 10*v**3 + 20*v**2 - 10*v**2. Let g(m) = 0. What is m?
-1
Factor -384*s + 271*s**2 - 163*s**2 - 32037*s**3 + 32034*s**3.
-3*s*(s - 32)*(s - 4)
Let w(u) = 156793*u**3 - 1127*u**2 - 5*u + 35. Let c(p) = -156792*p**3 + 1128*p**2 + 6*p - 40. Let v(z) = -7*c(z) - 8*w(z). Factor v(l).
-2*l*(280*l - 1)**2
Let q be (22 - 18)/(-2 + 1). Let p be q/8*8/(-16). Factor 1/4*w**2 - 1 - w + p*w**3.
(w - 2)*(w + 1)*(w + 2)/4
Let c be (-1 + 0)*(11 - 0 - 14). Factor 0*a**3 - 13*a**3 - 4*a**5 + 4*a**5 - 3*a**4 - c*a**3 + a**5 - 12*a**2.
a**2*(a - 6)*(a + 1)*(a + 2)
Let k(g) = 5*g**2 + 2. Let u(b) = 18*b**2 - 74*b + 164. Let q(h) = -4*k(h) + u(h). Factor q(i).
-2*(i - 2)*(i + 39)
Let s(k) be the first derivative of 2*k**3/21 + 57*k**2/7 - 116*k/7 - 1471. Let s(v) = 0. What is v?
-58, 1
Determine d so that 891/5*d**2 - 3/5*d - 891/5 + 3/5*d**3 = 0.
-297, -1, 1
Determine q so that 392/3 + 8/3*q**4 - 254*q**3 - 328*q - 2146/3*q**2 = 0.
-2, -1, 1/4, 98
Let w be (-133)/(-19)*(-2)/(-7) - -4. Factor -19612*y + 2*y**2 - w*y**2 - 2*y**3 + 19612*y.
-2*y**2*(y + 2)
Let f(c) = -c**3 + 73*c**2 - 43*c - 2086. Let u be f(72). Factor 22/3 - 8*t + 2/3*t**u.
2*(t - 11)*(t - 1)/3
Let s(k) be the second derivative of -k**8/3360 + 2*k**7/315 - 7*k**6/360 - 7*k**4/12 + 2*k - 9. Let d(l) be the third derivative of s(l). Factor d(p).
-2*p*(p - 7)*(p - 1)
Let p(j) be the third derivative of j**8/24192 - j**7/504 + 11*j**6/864 + 37*j**5/10 - 236*j**2. Let x(w) be the third derivative of p(w). Solve x(c) = 0 for c.
1, 11
Let f(i) be the first derivative of 2*i**5/45 - 9*i**4/2 + 3028*i**3/27 + 1708*i**2/3 + 784*i + 1571. What is n in f(n) = 0?
-2, -1, 42
Suppose 7*y - 19*y = -180. Let d be 1/((y/6)/(14 + -9)). Suppose 0 + 3/5*m**3 + 36/5*m**d + 108/5*m = 0. Calculate m.
-6, 0
Let n(o) be the first derivative of -o**6/1620 + 11*o**5/540 - 16*o**3/3 + 21. Let q(l) be the third derivative of n(l). What is a in q(a) = 0?
0, 11
Let c(y) be the third derivative of -y**5/100 + 21*y**4/40 - 2*y**3 + 3114*y**2 + 1. Factor c(d).
-3*(d - 20)*(d - 1)/5
Let w = 6132443/15 + -408829. Factor -w*f + 2/15*f**2 + 2/5.
2*(f - 3)*(f - 1)/15
Let s(l) = -23*l**2 - 424*l + 1676. Let f(x) = 120*x**2 + 2124*x - 8379. Let d(r) = 4*f(r) + 21*s(r). Find q, given that d(q) = 0.
-140, 4
Let z(p) be the second derivative of 441/2*p**2 + 5/2*p**4 - 5/6*p**5 - 1/18*p**6 + 105/2*p**3 + 0 + 1/126*p**7 + 75*p. Factor z(k).
(k - 7)**2*(k + 3)**3/3
Let x(a) be the first derivative of -2*a**3/21 - 3*a**2 - 136*a/7 - 1098. Factor x(l).
-2*(l + 4)*(l + 17)/7
Let c = -706 + 768. Factor c*k + 10 + 25 - 6*k**2 + 16 - 7.
-2*(k - 11)*(3*k + 2)
Let f(c) be the third derivative of c**7/630 - 7*c**5/90 - c**4/3 + 31*c**3/6 + 36*c**2. Let x(o) be the first derivative of f(o). Factor x(i).
4*(i - 3)*(i + 1)*(i + 2)/3
Let u(b) be the third derivative of 0*b - 1/1260*b**6 + 0 - 10*b**2 + 1/140*b**5 - 2*b**3 + 1/21*b**4. Let a(c) be the first derivative of u(c). Factor a(m).
-2*(m - 4)*(m + 1)/7
Let v = 23 + -14. Suppose -6*m + v*m - 6 = 0. Solve m*o - 8*o - 4 + 4 - 3*o**2 = 0.
-2, 0
Let d be 29/(-290) - (528/(-55) + 8). Find q such that 15/2*q**2 + 0 + d*q**3 - 9*q = 0.
-6, 0, 1
Suppose 0 = 4*o - 24 + 32. Let d be (-8)/12*24/o. Factor 2*f**3 + 0*f - 2*f**2 + d*f - 6*f**2.
2*f*(f - 2)**2
Let y = 140300/9 + -982028/63. Determine j, given that -6/7*j - 2/7*j**2 + y = 0.
-4, 1
Let s = 265522/1005 + -17496/67. Factor 112/5*c**2 - 128/3*c - 1024/15 - s*c**3 + 2/15*c**4.
2*(c - 8)**3*(c + 1)/15
Suppose 8832 = 22*y - 9846. Let i = y - 9333/11. Factor -2/11*j**2 + 8/11 + i*j.
-2*(j - 4)*(j + 1)/11
Let b(d) be the first derivative of -d**5/12 + 77*d**4/24 - 5*d**3 - 17*d**2 - d - 66. Let f(p) be the second derivative of b(p). Factor f(x).
-(x - 15)*(5*x - 2)
Let m(u) be the third derivative of 0*u**3 - 1/90*u**6 - 2/15*u**5 + 0 + 7/18*u**4 + u**2 + 22*u. Factor m(q).
-4*q*(q - 1)*(q + 7)/3
Let a(n) be the first derivative of n**5 + 435*n**4/4 - 5*n**3 - 1315*n**2/2 - 870*n + 8986. Determine k so that a(k) = 0.
-87, -1, 2
Let k be 6/(-11) - (2072/(-330) - (10 + 1300/(-125))). Find f such that -k*f**3 + 4/3*f**4 - 28/3*f**2 + 0 + 40/3*f = 0.
-2, 0, 1, 5
Let u(o) = 5*o**2 - 33*o - 10. Let j be u(7). Determine x so that x**j - 9*x**4 + 44 + x**4 - 29*x**2 - 8*x**2 + 415*x**5 - 41*x**3 - 414*x**5 + 40*x = 0.
-2, -1, 1, 11
Suppose 98*i + 14 = 210. Let q(l) be the second derivative of 8*l - 1/2*l**3 + 0 + 3*l**i - 1/4*l**4. Solve q(h) = 0 for h.
-2, 1
Let l(s) be the second derivative of 2*s**7/21 + 166*s**6 + 516674*s**5/5 + 71472130*s**4/3 - 344450*s**3 - 142946750*s**2 + 2698*s. Factor l(o).
4*(o - 1)*(o + 1)*(o + 415)**3
Let z(r) = -9*r + 18. Let x be z(-3). Factor -36*j**3 - 50*j**2 - 37*j - 52*j + 3*j**4 - x - 76*j**2 - 43*j.
3*(j - 15)*(j + 1)**3
Factor -274/17 - 276/17*f - 2/17*f**2.
-2*(f + 1)*(f + 137)/17
Suppose 16*q + 364 = 17*q. Suppose -39*s - 9*s - 360*s**2 + q*s**2 = 0. What is s?
0, 12
Let j(b) be the third derivative of -138*b**7/7 - 367*b**6/8 + 346*b**5/3 + 2735*b**4/24 - 5*b**3/3 + 4*b**2 - b + 952. Suppose j(i) = 0. What is i?
-2, -1/3, 1/276, 1
Determine b so that 122 - 675*b + 254*b**2 - 3*b**3 - 20*b**2 + 120 - 242 = 0.
0, 3, 75
Let n = 4 - 2. Suppose -4*h - 4 = 4*t, 2*t + 12*h = 11*h + 3. Factor -17*o - t + 35*o - 3*o**n - 6*o - 5.
-3*(o - 3)*(o - 1)
Determine p so that 105 + 163 + 2*p**3 + 116*p**2 + 338 - 488*p - 110 = 0.
-62, 2
Let m(w) be the first derivative of 5*w**4/4 + 445*w**3/3 + 860*w**2 + 1700*w + 1911. Factor m(b).
5*(b + 2)**2*(b + 85)
Let m be 4 + -8 + 2 + (-4)/(-4). Let l(j) = -j**2 + 6*j + 3. Let r(b) = b**2 + b. Let s(i) = m*l(i) - 4*r(i). Determine o so that s(o) = 0.
-3, -1/3
Let k(m) = 18*m**2 + 9*m. Let g(s) be the first derivative of 2*s**3/3 + s - 66. Let x(i) = 3*g(i) - k(i). Factor x(l).
-3*(l + 1)*(4*l - 1)
Find c, given that -687 + 264 + 162 - c**2 + 133 - 2*c + 26*c = 0.
8, 16
Let n be 21630/(-945)*(-9)/78 - ((-2)/3 - -3). Factor -n*m - 2/13*m**2 - 2/13.
-2*(m + 1)**2/13
Let i = -1840303/3 - -613473. Factor 172/3*q**2 + 12*q**4 + 40*q + 4/3*q**5 + i*q**3 + 32/3.
4*(q + 1)**3*(q + 2)*(q + 4)/3
Suppose 0 + 0*v + 2/3*v**4 - 52*v**3 + 304/3*v**2 = 0. What is v?
0, 2, 76
Let c(w) = 20*w**2 - 17328*w - 17404. Let b(h) = -31*h**2 + 25992*h + 261