 y be (-1547)/(-105) - (5 + (-2)/(-2)). Let w = 34/3 - y. Let -18/5 + w*g**2 - 7/5*g**3 + 3/5*g + 1/5*g**4 = 0. Calculate g.
-1, 2, 3
Suppose -1418*x + 1416*x = -5*g + 7, -g - x = -7. Let a(d) be the first derivative of -1/3*d**g + 5*d + 2*d**2 - 14. Determine s, given that a(s) = 0.
-1, 5
Factor 4*l**4 + 0 + 16/5*l**2 - 36/5*l**3 + 0*l.
4*l**2*(l - 1)*(5*l - 4)/5
Let w(j) be the first derivative of 3*j**4/4 - 99*j**3/7 + 45*j**2/2 - 39*j/7 + 1272. Factor w(m).
3*(m - 13)*(m - 1)*(7*m - 1)/7
Let n(b) be the first derivative of b**6/6 - 30*b**5 - 457*b**4/4 - 102*b**3 - 6206. Find r such that n(r) = 0.
-2, -1, 0, 153
Factor -8804096 - 7654*s**3 + 11829*s**2 + 8442*s**3 + 37947*s**2 + 4*s**4 + 869312*s.
4*(s - 7)*(s + 68)**3
Let a(k) be the second derivative of -k**6/90 + k**5/6 - 2*k**4/3 + 23*k**3/6 + 2*k + 2. Let j(w) be the second derivative of a(w). Find z such that j(z) = 0.
1, 4
Let p(u) be the second derivative of u**4/24 + 67*u**3/12 + 33*u**2/2 - 35*u + 29. Suppose p(w) = 0. Calculate w.
-66, -1
What is f in 508/3*f**3 - 15340/3*f**2 + 0 - 4/3*f**4 - 16900*f = 0?
-3, 0, 65
Factor -123 - 176333*v - 147 + 20*v**2 + 15*v**2 - 10*v**2 + 175898*v.
5*(v - 18)*(5*v + 3)
Let c(k) be the third derivative of k**8/1176 - 4*k**7/735 - 11*k**6/420 + k**5/7 + 1166*k**2. Determine u so that c(u) = 0.
-3, 0, 2, 5
Let q be 39/13*4/3. Suppose -q*z - v + 1 = -2*z, 3*v + 15 = 0. Suppose 10*w**4 - 23 - 45*w**z + 5*w + 60*w**2 - 10*w**3 + 3 = 0. What is w?
-1/2, 1, 4
Let h = 18/1975 + 7774/13825. Factor 0*x**4 + 0 + 2/7*x**5 + 0*x**2 - h*x**3 + 2/7*x.
2*x*(x - 1)**2*(x + 1)**2/7
Let y = 5873 + -5869. Suppose 9*m - 5*m - 5*x = -17, -m - 5*x = -27. Let 9*t**3 - 4*t**4 - 5*t**3 + 2*t**m - y*t**5 + 2*t**2 = 0. Calculate t.
-1, 0, 1
Let j = 2379/4 + -7121/12. Solve -68/3*a**2 + 10*a**3 - j + 10*a + 12*a**4 = 0 for a.
-2, 1/3, 1/2
Let i be (-7)/(-5) - 2 - 6/15. Let x be -6*i*(-4)/(-6). Let g(u) = -1. Let l(k) = -3*k**2 + 24*k - 52. Let s(b) = x*g(b) - l(b). Factor s(y).
3*(y - 4)**2
Let j = -326 + 360. Factor -86*i - i**3 - 10 - 12*i**2 + 14*i + j*i + 17*i.
-(i + 1)**2*(i + 10)
What is m in 0*m + 46/3*m**3 + 0 + 0*m**2 - 2/3*m**4 = 0?
0, 23
Let g be -372*(-85)/(-70) + -11. Let w = g + 465. Let w*o + 1/7*o**2 + 64/7 = 0. What is o?
-8
Let f(v) be the first derivative of 55/3*v**2 + 7/12*v**4 + 31/3*v**3 + 8*v - 14. Factor f(a).
(a + 1)*(a + 12)*(7*a + 2)/3
Let g(i) be the third derivative of i**7/70 + i**6/20 - 3*i**5/20 + 152*i**2 + 6*i. Factor g(t).
3*t**2*(t - 1)*(t + 3)
Suppose -488*i + 336*i = 0. Let f(n) be the third derivative of -12*n**2 - 1/180*n**5 + i*n + 1/6*n**3 + 0 + 1/36*n**4. Factor f(m).
-(m - 3)*(m + 1)/3
Let r(n) be the second derivative of -2 - 1/6*n**6 + 1/2*n**5 + 0*n**2 + 5/12*n**4 - 5/3*n**3 - 28*n. Suppose r(o) = 0. Calculate o.
-1, 0, 1, 2
Let c(r) be the second derivative of 3*r**5/5 + 7*r**4/6 - 11*r**3/3 - 2*r**2 - 1100*r. Suppose c(a) = 0. What is a?
-2, -1/6, 1
Let w(u) = -u**3 - 4*u**2 - 1. Let t(m) = m**3 - 11*m**2 - 112*m - 190. Let i(s) = -t(s) - 2*w(s). Let i(n) = 0. What is n?
-8, -3
Solve -2/7*d**2 - 1696482/7 - 3684/7*d = 0 for d.
-921
Suppose 67*i = 70*i - 12. Let a(f) be the first derivative of -1/8*f**2 + 1/2*f**3 + 1/8*f**6 - 1/4*f**5 - 1/8*f**i - 1/4*f + 16. What is m in a(m) = 0?
-1, -1/3, 1
Factor -242 - 239/3*q + 1/3*q**2.
(q - 242)*(q + 3)/3
Let g(o) be the first derivative of 0*o**2 + 0*o + 3/10*o**5 + 1/4*o**3 - 15/32*o**4 + 40 - 1/16*o**6. Factor g(q).
-3*q**2*(q - 2)*(q - 1)**2/8
Let s be ((-19065)/20)/((-10938)/1004). Let v = s + 2/1823. Factor 34*f**2 + 4*f + 0 + v*f**4 + 95*f**3.
f*(5*f + 2)**2*(7*f + 2)/2
Let t be ((-972)/36 - -2811)/(1 + 13). Find u such that 21*u**5 - 177*u**4 + 2784/7*u**3 - t*u - 240/7 - 1032/7*u**2 = 0.
-2/7, 2, 5
Factor -11104/3*w**2 + 5564/3*w - 232 - 64/3*w**3.
-4*(w + 174)*(4*w - 1)**2/3
Let g = -87 - -88. Solve 24 - 202*h + 41 - 30 + 22*h**2 + g = 0.
2/11, 9
Let t be (15/(-2) + 5 + 5)*4. Factor 10*f - 1917*f**4 + 12 + 1919*f**4 - 7*f**2 - t*f**3 - 7*f**2.
2*(f - 6)*(f - 1)*(f + 1)**2
Let u(o) = 19*o**3 - 31*o**2 + 6*o - 12. Let z(l) = -22*l**3 + 30*l**2 - 7*l + 14. Let h(g) = -7*u(g) - 6*z(g). Factor h(b).
-b**2*(b - 37)
Let q(y) be the first derivative of y**3/18 + 9*y**2/4 - 80*y/3 - 381. Factor q(k).
(k - 5)*(k + 32)/6
Let f = -8104 - -8104. Let a(w) be the first derivative of -44/3*w**3 + f*w - 43 + 20*w**2 + w**4. Let a(p) = 0. Calculate p.
0, 1, 10
Suppose -22 = 11*u - 44. Determine m so that 16 - m - 24*m - 7 - 5*m**u + 5*m**3 - 24 = 0.
-1, 3
Let j = -1416109/15 + 474282/5. Let c = -449 + j. Find g, given that c*g + 2/3*g**2 - 2/15*g**3 - 2/3 = 0.
-1, 1, 5
Let x(w) = 4*w**3 - 10*w**2 + 12. Let m = -379 + 386. Let l(g) = 13*g**3 - 31*g**2 + g + 38. Let y(t) = m*x(t) - 2*l(t). Factor y(f).
2*(f - 4)*(f - 1)*(f + 1)
Let t(q) be the second derivative of -q**6/15 + 6*q**5/5 + 43*q**4/6 - 258*q**3 + 1296*q**2 - 902*q. What is b in t(b) = 0?
-8, 2, 9
Let m = -162 + 212. Suppose -m*c**2 + 28*c**5 + 7*c**4 - 33*c**5 + 24*c**3 - 17*c**4 + 41*c**3 = 0. Calculate c.
-5, 0, 1, 2
Let k = -50814 - -50818. Suppose 0*u + 2/11*u**3 - 2/11*u**5 - 4/11*u**2 + 4/11*u**k + 0 = 0. What is u?
-1, 0, 1, 2
Let o(p) = -27*p**5 + 192*p**4 - 156*p**3 + 48*p**2 - 24*p - 48. Let t(y) = 2*y**4 - y - 2. Let g(s) = o(s) - 24*t(s). Find m such that g(m) = 0.
0, 2/3, 4
Factor -32/13*z + 64/13*z**2 - 48/13*z**3 + 0 + 16/13*z**4 - 2/13*z**5.
-2*z*(z - 2)**4/13
Let s(r) = -1226*r + 1208*r + 40 + r**2 + 52 - 24. Let h be s(13). Find d such that -3*d**h + 0*d - 7/3*d**4 + 0 - 2/3*d**2 = 0.
-1, -2/7, 0
Let m = 124 + -106. Let z be (-120)/(-96)*m/15*1. Factor 0*a**2 + 0 - z*a**5 + 0*a**4 - 3/2*a + 3*a**3.
-3*a*(a - 1)**2*(a + 1)**2/2
Let 503*p**2 - 1292 - 1772*p**2 + 4*p**3 + 257*p**2 + 288 + 2012*p = 0. What is p?
1, 251
Factor -1292/9*h - 2282/9*h**2 - 49/9*h**3 - 184/9.
-(h + 46)*(7*h + 2)**2/9
Let g(l) = -l**2. Let h(v) = 21*v**2 - 3 + 8*v**2 - 22*v**2. Let p(y) = -4*g(y) - h(y). Solve p(s) = 0.
-1, 1
Suppose 4 = 2*d + 6, -d + 984 = 5*s. Let y = -195 + s. What is i in -1/2 + 1/2*i**3 + 3/2*i - 3/2*i**y = 0?
1
Suppose 15*q + 19 = -39*q + 19. Find y, given that -3/8*y**3 + q*y**2 + 9/8*y + 3/4 = 0.
-1, 2
Let r(t) be the second derivative of t**8/8400 + t**7/525 + t**6/180 - 47*t**4/12 - t - 33. Let k(a) be the third derivative of r(a). Factor k(i).
4*i*(i + 1)*(i + 5)/5
Suppose 142 = 23*w + 27. Let o(n) be the third derivative of 0*n**3 - 1/48*n**4 + 7*n**2 + 1/480*n**6 + 0 + 1/240*n**w + 0*n. Factor o(t).
t*(t - 1)*(t + 2)/4
Let w be (-7)/(-35) + 5/(50/938). Let r be w/11 + (-94)/47. Solve -108/11*v**2 - 16/11 + r*v + 54/11*v**3 = 0.
2/3
Determine g, given that 20*g**2 - 6*g**3 + 103*g**3 - 90 - 75*g - 87*g**3 - 5*g**3 = 0.
-6, -1, 3
Let d be (45/(-9) + 5)/12. Let f(v) be the first derivative of d*v - 5/3*v**3 - v**2 - 25 - 3/4*v**4. Factor f(m).
-m*(m + 1)*(3*m + 2)
Factor -544/9 - 52/9*c + 2/9*c**2.
2*(c - 34)*(c + 8)/9
Suppose -272 = 58*k - 126*k. Let m(l) be the first derivative of -4/5*l**5 + 2*l**2 - 9 + 0*l + 3*l**k - 4*l**3. Factor m(y).
-4*y*(y - 1)**3
Let a(k) be the first derivative of 0*k - 14 - 1/72*k**4 - 1/180*k**5 + 1/2*k**2 + 0*k**3. Let x(d) be the second derivative of a(d). Factor x(j).
-j*(j + 1)/3
Let x(p) be the third derivative of -8*p**7/105 + 44*p**6/15 - 437*p**5/15 - 529*p**4/6 - 46*p**2 - 9. Factor x(j).
-4*j*(j + 1)*(2*j - 23)**2
Let m(l) be the third derivative of 0 - 1/6*l**6 + 5/6*l**4 + 1/42*l**7 - 10/3*l**3 - 55*l**2 + 1/4*l**5 + 0*l. Factor m(w).
5*(w - 2)**2*(w - 1)*(w + 1)
Suppose 25 = 10*n - w, -4*n + 35*w - 39*w - 12 = 0. Suppose -80/3*u - 2/3*u**3 - 22/3*u**n - 32 = 0. What is u?
-4, -3
Solve -1227/5*a**3 - 3639/5*a**2 + 3/5*a**5 + 6084/5*a + 243*a**4 - 2436/5 = 0 for a.
-406, -2, 1
Suppose 4*k + 3*c - 4 = 0, 597*c + 28 = 4*k + 594*c. Factor k - f**2 + 35/3*f.
-(f - 12)*(3*f + 1)/3
Let x(j) = j - 2. Let m be x(5). Determine v so that -30*v**m + 81*v + 4*v**4 + 10*v**3 - 29*v - 12*v**2 + 534 - 494 = 0.
-1, 2, 5
Let a(n) be the third derivative of n**5/60 + 39*n**4/40 - 61*n**3/15 - 11*n**2 + 26*n. Factor a(j).
(j - 1)*(5*j + 122)/5
Let t = 62363/7425 - -7/7425. Suppose -27*s**3 + 0 + 21/5*s**5 - 48/5*s**4 - t*s**2 + 24/5*s = 0. What is s?
-1, 0, 2/7, 4
Let h(t) be the thi