irst derivative of 3*q**4/28 + 3*q**3/7 + 9*q**2/14 + 3*q/7 + 1498. Suppose u(k) = 0. Calculate k.
-1
Suppose d - 89 = 5*o, -8*o + 13*o = -2*d + 193. Suppose -14 = -3*a + a. Find x such that 55*x + 35*x + 499 - 2*x**2 + a*x**2 - d = 0.
-9
Let l be 1/4 - (-143)/8*290. Factor -l + 94*t**3 - 102*t**4 - 5*t**5 - 4*t**5 - 1177*t**3 - 2700*t**2 + 6*t**5 + 9072*t.
-3*(t - 1)**2*(t + 12)**3
Let d = 24/133 - -2/19. Let s = 1918218/7 + -274030. Factor -24/7 + d*v**2 + s*v.
2*(v - 2)*(v + 6)/7
Let j = 343161/8 - 2401647/56. Let -j*x**2 + 38/7*x**3 + 20/7*x**4 + 2/7*x**5 + 0*x + 0 = 0. What is x?
-6, -5, 0, 1
Suppose -180*c = 196*c - 1504. Factor -2/15*p**5 + 0 - 2/3*p**2 + 4/15*p + 2/5*p**3 + 2/15*p**c.
-2*p*(p - 1)**3*(p + 2)/15
Determine b, given that 36 + 4/5*b**2 - 56/5*b = 0.
5, 9
Let q(x) = -10*x**2 - 253*x - 957. Let a(z) = -48*z**2 - 1266*z - 4786. Let f(r) = -3*a(r) + 14*q(r). Factor f(m).
4*(m + 4)*(m + 60)
Factor 6066/5*p**2 - 6132726/5*p - 2/5*p**3 + 2066728662/5.
-2*(p - 1011)**3/5
Let q(r) be the second derivative of -5*r**4/36 + 421*r**3/18 - 14*r**2 - 1086*r. Let q(m) = 0. Calculate m.
1/5, 84
Let m(d) = -15*d**4 + 29308*d**3 - 57260011*d**2 + 37280084624*d + 14921197308. Let x(k) = 2*k**4 - k**2 + 4. Let a(b) = -4*m(b) - 20*x(b). Factor a(l).
4*(l - 1954)**3*(5*l + 2)
Let u(g) be the first derivative of 18*g**5/5 - 425*g**4/2 - 1576*g**3/3 + 196*g**2 - 8187. Factor u(v).
2*v*(v - 49)*(v + 2)*(9*v - 2)
Let d = 92 - 63. Let f be 4/24 - d/(-6). Factor -2*l**3 + 4*l**3 + 3*l**f + 3 + 20*l**4 - 9*l + 4*l**3 + 6*l**2 - 29*l**4.
3*(l - 1)**4*(l + 1)
Let u(z) be the second derivative of 1/3*z**4 - 7/20*z**5 - 2/15*z**6 + 114*z + 0*z**2 + 1/14*z**7 + 0 + 2/3*z**3. Let u(s) = 0. What is s?
-1, -2/3, 0, 1, 2
Suppose 79 = g - 351. Let m = g - 1286/3. Determine r so that -m*r + 4/3*r**2 - 8/3 = 0.
-1, 2
Let z(t) be the first derivative of t**4/9 + 112*t**3/27 + 88*t**2/9 - 832*t/9 + 729. Factor z(p).
4*(p - 2)*(p + 4)*(p + 26)/9
Let g(a) = 14*a + 0 + 0 + 1 - 15*a. Let x be g(1). Factor x - 1/4*n**3 + 0*n - 3/2*n**2.
-n**2*(n + 6)/4
Suppose 3*u = 3*y - 36, 46 - 1 = 5*y - 2*u. Suppose j = 3*w - 7, y*w - 5*j = 9*w - 33. Factor 0*c + 0 + 0*c**2 + 2/7*c**w - 2/7*c**5 + 0*c**3.
-2*c**4*(c - 1)/7
Let x = 810353/9 - 90039. Determine y, given that 8/9*y + x*y**4 - 8/9*y**3 + 8/3 - 26/9*y**2 = 0.
-2, -1, 1, 6
Let c(i) be the second derivative of -i**4/4 + 45*i**3/2 - 66*i**2 + 2*i - 1549. Factor c(z).
-3*(z - 44)*(z - 1)
Let y(n) be the second derivative of 0*n**2 - 1/14*n**4 + 1/70*n**5 + 0 + 92*n - 10/21*n**3. Factor y(x).
2*x*(x - 5)*(x + 2)/7
Suppose -4*v + 3*q = -90, 5*v + 65 - 187 = -q. Let -19*c - 3*c - 4*c**3 + 2*c - v*c**2 + 0*c = 0. Calculate c.
-5, -1, 0
Let l(p) be the third derivative of 1/90*p**5 + 0 + 6*p**2 - 1/315*p**7 - 1/1512*p**8 + 0*p + 1/54*p**4 - 1/540*p**6 + 0*p**3. Find h such that l(h) = 0.
-2, -1, 0, 1
Suppose 160 + 157 - 230*n - 5*n**2 - 317 = 0. What is n?
-46, 0
Let l(h) be the second derivative of 1/60*h**5 - 1/18*h**4 + 1/3*h**2 - h + 22 - 1/18*h**3. Suppose l(a) = 0. Calculate a.
-1, 1, 2
Let p = -364 - -367. Determine m, given that -3*m**3 - 8*m**2 + 21*m + 0*m**p + 20*m**2 - 20 - 10 = 0.
-2, 1, 5
Let w be (270/(-165))/(3/(-11 - -10)). Factor 28/11*z - 46/11*z**2 + w + 12/11*z**3.
2*(z - 3)*(z - 1)*(6*z + 1)/11
Suppose 1 - 1 = -77*g + 8*g. Let o(c) be the third derivative of 0*c - 1/30*c**5 + g*c**4 + 0*c**3 - 1/120*c**6 + 7*c**2 + 0. Find f, given that o(f) = 0.
-2, 0
Let y be (781639/(-10153) + 77)/((-1)/(-13)). Find c, given that y*c**3 + 36/11*c**2 - 400/11 + 120/11*c = 0.
-10, 2
Let z(g) be the first derivative of -2*g**5/45 - 5*g**4/18 + 16*g**3/9 - 2803. Find f, given that z(f) = 0.
-8, 0, 3
Let a(s) be the second derivative of 0*s**2 + 9*s + 1/6*s**3 - 7/80*s**5 + 0*s**4 + 1 - 1/40*s**6. Factor a(p).
-p*(p + 1)*(p + 2)*(3*p - 2)/4
Let s be ((-3)/12)/((-2184)/544 + 4). Let z = -13 + s. Suppose 7/3*k**3 + k**z + 5/3*k**2 + 0 + 1/3*k = 0. Calculate k.
-1, -1/3, 0
Let y = 3 - 1. Solve -13*s**y + 18*s**2 - 5*s - 10*s**2 = 0.
-1, 0
Let k(w) be the first derivative of -99*w**4/4 - 529*w**3 - 3192*w**2 - 192*w + 1563. Factor k(h).
-3*(h + 8)**2*(33*h + 1)
Let h be (-50)/(-4) + (-1)/((-6)/(-24)). Let j = 93/10 - h. Factor -j*f**3 - 2/5*f + 1/5*f**4 + f**2 + 0.
f*(f - 2)*(f - 1)**2/5
Suppose 2046 = 30*z + 156. Let v be (-18)/z - 6/(-21). Factor 0*h - 2/3 + v*h**3 - 2/3*h**4 + 4/3*h**2.
-2*(h - 1)**2*(h + 1)**2/3
Let w(y) be the second derivative of 0*y**2 + 1/24*y**4 - 1/36*y**3 + 11*y + 2 - 1/40*y**5 + 1/180*y**6. Let w(m) = 0. Calculate m.
0, 1
Let p(d) be the first derivative of 0*d - 77 - 3*d**2 + 1/3*d**3. Find k, given that p(k) = 0.
0, 6
Suppose -128/13*c**2 - 88/13*c - 2/13*c**5 + 44/13*c**4 + 6/13*c**3 + 0 = 0. What is c?
-1, 0, 2, 22
Suppose 55 = -m - 5*a, -51*m + 52*m + 3*a + 33 = 0. Let 1/6*z**2 + 0 + m*z + 1/6*z**3 = 0. What is z?
-1, 0
Let w(b) be the third derivative of b**6/780 - 31*b**5/39 + 47*b**4/4 - 912*b**3/13 - 744*b**2 - 2. Factor w(p).
2*(p - 304)*(p - 3)**2/13
Suppose 3*x + 5*m - 16 = 9, -3*x - 2*m = -10. Let q(w) be the first derivative of 10 - 1/4*w**2 + x*w + 1/8*w**4 + 1/20*w**5 - 1/12*w**3. Factor q(l).
l*(l - 1)*(l + 1)*(l + 2)/4
Let w(b) be the second derivative of -b**8/420 - b**7/105 - b**6/90 - 2*b**3 + 4*b**2 + 12*b. Let p(q) be the second derivative of w(q). Factor p(n).
-4*n**2*(n + 1)**2
Let h(p) = -2*p**3 - 19*p**2 - 18*p + 3. Let u be h(-11). Let d be (-6)/(-28)*329/u. Factor -1/4*f**2 + 1/8*f**4 + 1/8*f**5 - 1/4*f**3 + d + 1/8*f.
(f - 1)**2*(f + 1)**3/8
Let z(j) = -j**3 + 109*j**2 + 338*j - 220. Let a be z(112). Factor 2/3*o**2 - o**3 + 1/3*o**a + 0*o + 0.
o**2*(o - 2)*(o - 1)/3
Let m be (-6)/4*1*108/(-81). Factor -8284*s**2 - 18*s**3 + 8251*s**m - 16*s - s**4 + 0*s**4.
-s*(s + 1)**2*(s + 16)
Let a = -378 - -397. Suppose 20*k - a*k - 118 + k**2 + 116 = 0. Calculate k.
-2, 1
Suppose -42/23*m**4 + 478/23*m**3 - 80/23 - 472/23*m - 532/23*m**2 = 0. Calculate m.
-1/3, -2/7, 2, 10
Let g be (2418/15)/(-2) - 2/5. Let h = g + 86. Find l such that -16*l**h - 3*l - 6*l**4 - 13*l**5 + 8*l**2 + 32*l**5 - 2*l**2 = 0.
-1, 0, 1
Let b(x) be the first derivative of -x**4/4 - 5*x**3 - 34*x**2 - 84*x - 6975. Factor b(k).
-(k + 2)*(k + 6)*(k + 7)
Let g be -3*935/(-102)*2/5. Let 15*c + 7 - 5*c**2 + g - 6*c**2 + 14*c**2 = 0. Calculate c.
-3, -2
Let n be (-4 - -9) + 30 + 0. Factor -n*t - 14*t**3 - 14*t + 15*t - 88 - t**4 - 12 - 69*t**2 - 106*t.
-(t + 2)**2*(t + 5)**2
Let s be 4/3 + (-2)/6 - 1849. Let p be s/77*(0 + (-1)/10). Factor -p*r**3 + 3*r**2 + 0 - 6/5*r + 3/5*r**4.
3*r*(r - 2)*(r - 1)**2/5
Let i(g) be the first derivative of 335*g**4 - 2995*g**3/3 + 625*g**2/2 + 10*g - 4080. Factor i(b).
5*(b - 2)*(4*b - 1)*(67*b + 1)
Let v(j) = -8*j - 28. Let q be v(-4). Find h such that 12*h**3 + 4*h - 369*h**4 + 370*h**q - 4*h = 0.
-12, 0
Let q(i) be the first derivative of -17*i**3 - 1/6*i**6 - 31/4*i**4 + 33 - 12*i - 9/5*i**5 - 20*i**2. Solve q(d) = 0 for d.
-3, -2, -1
Let v(m) = 9*m**4 - 16*m**3 - 217*m**2 + 320*m + 507. Let q(l) = 7*l**4 - 19*l**3 - 218*l**2 + 320*l + 508. Let d(p) = -15*q(p) + 12*v(p). Factor d(c).
3*(c - 2)*(c + 1)*(c + 16)**2
Let -9/2 + 43/2*n**2 - 17*n = 0. What is n?
-9/43, 1
Factor 2/11*y**3 + 294/11*y**2 + 14406/11*y + 235298/11.
2*(y + 49)**3/11
Find t such that -1/6*t**2 + 76/3*t + 51/2 = 0.
-1, 153
Let x(d) = d**3 + 9*d**2 + d + 15. Let t be x(-9). Suppose -l = t*l - 35. Factor 178 - 4*a**3 - 8*a**4 - 3*a**l - 178 - a**5.
-4*a**3*(a + 1)**2
Let u = 655565/3 - 218521. Suppose -2/9*r**5 + u*r**4 + 0 + 2/9*r**3 - 2/3*r**2 + 0*r = 0. What is r?
-1, 0, 1, 3
Let r(z) = 147*z + 52 + z**2 - 197*z + 466 - 33. Let f be r(13). Factor -1/9*m**5 + 0*m**f + 5/3*m + 10/9*m**3 + 4/9 + 20/9*m**2.
-(m - 4)*(m + 1)**4/9
Let g(s) be the second derivative of s**4/4 + 17*s**3 + 867*s**2/2 - 109*s - 5. Factor g(n).
3*(n + 17)**2
Let g = 19941 + -19938. Suppose 5 - 3 = b. Let -25/4*r**g + 15/4*r**b + 5/2*r + 0 = 0. Calculate r.
-2/5, 0, 1
Let o(s) be the third derivative of -s**5/150 + 13*s**4/6 - 43*s**3/5 + 807*s**2. What is t in o(t) = 0?
1, 129
Let w(l) = l**2 - 2*l - 20. Let g = -97 - -93. Let x be w(g). Factor -4*r**x - 4*r**3 - 8*r**2 + 35*r**4 + 4*r**5 - 23*r**4.
4*r**2*(r - 1)*(r + 1)*(r + 2)
Let