**3 - 13 - 6/5*a. Suppose b(g) = 0. Calculate g.
-2, -1/6
Let v be 11/7 + 9/(-27)*3. Factor -v*f**2 + 18/7*f**3 + 0 + 10/7*f**5 + 0*f - 24/7*f**4.
2*f**2*(f - 1)**2*(5*f - 2)/7
Let n(m) be the second derivative of 1/16*m**4 + 0 + 15*m + 0*m**2 - 3/4*m**3. Suppose n(f) = 0. Calculate f.
0, 6
Let j(x) be the third derivative of 5*x**8/336 - x**6/3 + x**5/2 + 35*x**4/24 - 5*x**3 + 2*x**2 - 30. Let j(v) = 0. What is v?
-3, -1, 1, 2
Let s(v) be the first derivative of v**9/16632 + v**8/2310 + v**7/924 + v**6/990 - 7*v**3 + 18. Let r(g) be the third derivative of s(g). Factor r(d).
2*d**2*(d + 1)**2*(d + 2)/11
Factor -11 - f + 15 - 4 + f**2.
f*(f - 1)
Let t(m) be the first derivative of -66*m**5/5 + 15*m**4/4 + 13*m**3/8 - 9*m**2/16 + 26. Determine b, given that t(b) = 0.
-3/11, 0, 1/4
Let d(s) = s**3 - s**2 + 3. Let z be d(0). Let n be (-22)/(-4) - (-4)/(-8). Factor 5*o - o**4 - o**2 + 0*o**z - n*o - 2*o**3.
-o**2*(o + 1)**2
Let a = -62 + 18. Let n be 14/a - 4/(-8). Suppose -2/11 + 4/11*m - n*m**2 = 0. What is m?
1
Let l be (-8)/(-24)*-15 + (-1497)/(-6). Let f = -240 + l. Factor 1/2*v**4 - 2*v**3 + 6*v - v**2 + f.
(v - 3)**2*(v + 1)**2/2
Let s = -22272 - -22274. Find o, given that 1/3*o + 1/3*o**s - 2 = 0.
-3, 2
Let y(z) be the second derivative of 0 - 1/72*z**4 + 1/12*z**3 - 1/6*z**2 + 14*z. Factor y(f).
-(f - 2)*(f - 1)/6
Determine l, given that -74*l - 187*l + 96 + 27*l - 21*l**3 - 351*l**2 = 0.
-16, -1, 2/7
Let k be ((-24)/42 - (-352)/126) + -2. Determine f so that 8/9*f + 2/3 + k*f**2 = 0.
-3, -1
Suppose -24 = -4*g - 2*n, 2*g = -0*g + 5*n + 24. Let c be 0/(-2) - g/((-126)/12). Determine b so that -c*b**2 + 2/3 + 0*b = 0.
-1, 1
Let n(a) be the second derivative of a**6/180 - a**5/20 + 5*a**3/2 - 14*a. Let j(r) be the second derivative of n(r). Factor j(w).
2*w*(w - 3)
Let y(g) be the third derivative of -g**9/7560 - g**8/840 - g**7/300 - g**6/300 - 11*g**3/6 - 12*g**2. Let w(k) be the first derivative of y(k). Factor w(p).
-2*p**2*(p + 1)**2*(p + 3)/5
Suppose 5*r = -8 + 33. Suppose -r*m + 14 = -4*y, -2 = -2*m - y + 1. Find j, given that 3*j**5 + 2*j**2 - j**4 + 0*j**4 - 5*j**3 + 2*j + 0*j**2 - j**m = 0.
-1, -2/3, 0, 1
Factor -12*z**3 - 16*z**2 + 19 + 18*z**4 - 3*z**4 - 17 + 12*z - z**4.
2*(z - 1)**2*(z + 1)*(7*z + 1)
Factor -32/5*f**2 - 2/5*f**3 + 14*f - 36/5.
-2*(f - 1)**2*(f + 18)/5
Let h(i) be the first derivative of 0*i - 4/35*i**5 - 3/7*i**4 + 0*i**2 - 8/21*i**3 - 3. Factor h(f).
-4*f**2*(f + 1)*(f + 2)/7
Let s(v) be the second derivative of v**6/480 + v**5/120 - 5*v**2 - v. Let p(l) be the first derivative of s(l). Factor p(o).
o**2*(o + 2)/4
Suppose -17 = 5*p - 392. Suppose -3*j + 225 = p. Let 0*v - 9*v + 56*v**2 - j*v**5 + 71*v**4 - 138*v**3 + 69*v**4 + v = 0. Calculate v.
0, 2/5, 1
Let h(q) = -q**2 + 10*q. Let i be h(10). Let x(l) = l**2 + 6. Let w be x(i). Factor -3*v**3 - w*v**2 - 11*v + 2*v + 6*v.
-3*v*(v + 1)**2
Let u(q) be the first derivative of 5*q**2 + 7/2*q**4 - 2*q + 3 - 6*q**3 - 4/5*q**5. Find w, given that u(w) = 0.
1/2, 1
Suppose -5*b - 49 = 4*g, -b + 2 = -g - 8. Let a = 14 + g. What is s in -2 + 9/2*s**5 + 12*s - 39/2*s**4 + 67/2*s**a - 57/2*s**2 = 0?
2/3, 1
Suppose -5*j - 86 = 134. Let o be j/33 - (-2 + 0). Let 4/3 + 2*b + o*b**2 = 0. Calculate b.
-2, -1
Let v(b) be the second derivative of -b**5/35 - 46*b**4/21 + 94*b**3/21 + 600*b. Factor v(x).
-4*x*(x - 1)*(x + 47)/7
Let h(t) = 10*t**4 - 25*t**3 + 45*t**2 - 40*t + 5. Let f(i) = 9*i**4 - 25*i**3 + 45*i**2 - 39*i + 6. Let y = -24 - -19. Let x(s) = y*f(s) + 4*h(s). Factor x(o).
-5*(o - 2)*(o - 1)**3
Let w = 1701 - 1697. Let h(f) be the second derivative of -1/3*f**w + 0 - 2/3*f**3 + 8*f + 4*f**2. Factor h(o).
-4*(o - 1)*(o + 2)
Factor 0*v - 6*v**3 + 21/4*v**4 + 0 + 3/4*v**5 + 0*v**2.
3*v**3*(v - 1)*(v + 8)/4
Let o(q) = 5*q**2. Let j be o(1). Let i be 9/10 - 2/j. Factor 1/2*d - d**2 + 1/2*d**5 + 1/2*d**4 + i - d**3.
(d - 1)**2*(d + 1)**3/2
Let h(k) be the first derivative of k**7/168 - k**6/24 + k**5/8 - 5*k**4/24 + 35*k**3/3 + 32. Let r(n) be the third derivative of h(n). Solve r(z) = 0.
1
Let d(w) be the second derivative of -2*w**7/21 - 14*w**6/15 - 18*w**5/5 - 22*w**4/3 - 26*w**3/3 - 6*w**2 - 238*w. Factor d(b).
-4*(b + 1)**4*(b + 3)
Let t(h) be the third derivative of -2*h**7/105 + 2*h**6/15 - h**5/3 + h**4/3 - 81*h**2. Solve t(y) = 0.
0, 1, 2
Factor -453*t**3 - 12*t - 22*t**2 + 437*t**3 + 30*t**4 - 11*t**5 - 8 + 39*t.
-(t - 1)**3*(t + 1)*(11*t - 8)
Let p be -1 + 3/(-9)*-7. Suppose -106*i = -166*i + 84*i. What is u in p*u**2 + i*u - 16/3 = 0?
-2, 2
Let w be ((-8)/(-6))/(7/(-21)) - (-570)/135. Let 2/3*v**2 - w*v**3 + 8/9*v + 0 = 0. What is v?
-1, 0, 4
Suppose -46*q - 60 = -41*q. Let x be 56/32 + ((-27)/q - 2). Factor 6*d**3 + 2 - 6*d + 2*d**4 + 1/2*d**x.
(d + 2)**2*(2*d - 1)**2/2
Let l(f) be the first derivative of f**6/4 - 3*f**5 - 27*f**4/2 - 19*f**3 - 39*f**2/4 + 98. Solve l(d) = 0.
-1, 0, 13
Suppose 0 = -j + 5, -27 = -c - 0*j - 5*j. Let k(f) be the second derivative of -f - 1/30*f**4 + 0*f**c + 0 + 2/15*f**3. What is b in k(b) = 0?
0, 2
Suppose -19*r + 17*r + 14 = 0. Suppose 4*m + x + 0*x = r, 4*m = 2*x + 22. What is k in -2/7*k**2 + 3/7*k**5 + 0*k - 3/7*k**m + 2/7*k**4 + 0 = 0?
-1, -2/3, 0, 1
Let c(h) be the first derivative of 3*h**4/4 - 5*h**3 + 21*h**2/2 - 9*h - 119. Solve c(f) = 0 for f.
1, 3
Let q(g) = 666*g - 663. Let v be q(1). Factor -12/11*h**2 + 24/11*h + 2/11*h**v - 16/11.
2*(h - 2)**3/11
Let s(r) be the third derivative of -r**5/90 - r**4/18 + 8*r**3/9 - 5*r**2 + 38*r. Find p, given that s(p) = 0.
-4, 2
Suppose -7*r + 4 = -8*r. Let i be 2/r*(-4 - 8). Find y such that i*y**4 - 6*y**2 - 24*y - 3*y**3 + 24*y + 3*y**5 = 0.
-2, -1, 0, 1
Let f(q) = 0*q**2 - 21 + 21 - q**2. Let j(h) = 2*h**2 + 12*h + 8. Let k(y) = -2*f(y) + j(y). What is z in k(z) = 0?
-2, -1
Let q(r) be the second derivative of r**4/18 - 11*r**3/45 + 2*r**2/5 + 255*r. Solve q(v) = 0.
1, 6/5
Let x(v) be the first derivative of -2/3*v**3 + 1/4*v**4 + 2*v + 19 - 1/2*v**2. Factor x(s).
(s - 2)*(s - 1)*(s + 1)
Find k such that -1/2*k**3 + 1/2*k + 2 - 2*k**2 = 0.
-4, -1, 1
Factor -4/3*w**2 - 2/3*w + 0.
-2*w*(2*w + 1)/3
Let b = -37128 - -37130. Solve 1/4*i - 1/4*i**4 - 1/2*i**3 - 1/4 + 1/4*i**5 + 1/2*i**b = 0.
-1, 1
Let q(w) be the third derivative of 5*w**8/336 - 5*w**7/21 + 11*w**6/8 - 11*w**5/3 + 25*w**4/6 + 26*w**2 - 10. Factor q(x).
5*x*(x - 5)*(x - 2)**2*(x - 1)
Suppose 4*b - 2*l - 20 = 0, 0 = -5*b + 4*l + 7 + 15. Let g be 208/(-56) + b + (-4)/14. Factor 3/4*x**g + 27/4 - 9/2*x.
3*(x - 3)**2/4
Suppose 0 = -53*r + 15*r + 494. Suppose 8 + 8 = 2*q. Let 16*t - 8*t**2 - q - 9*t + r*t = 0. Calculate t.
1/2, 2
Suppose -52*y + 71*y - 5*y**2 - 424*y + 830 = 0. What is y?
-83, 2
Let w(n) be the third derivative of -n**7/560 - 7*n**6/720 - n**5/48 - n**4/48 + 7*n**3/6 - 5*n**2. Let b(p) be the first derivative of w(p). Factor b(u).
-(u + 1)**2*(3*u + 1)/2
Factor 15/2*i**2 - 111/2*i + 21.
3*(i - 7)*(5*i - 2)/2
Suppose h + h - 4*s = -22, h + 2*s + 7 = 0. Let w(k) = k + 11. Let m be w(h). Factor -7*v**3 + 4*v**4 - 4*v**2 + 2*v - m*v**5 + v**3 + 6*v**3.
-2*v*(v - 1)**3*(v + 1)
Find c, given that -348*c + 101*c - 97 - 27*c**2 + 26*c**2 + 149*c = 0.
-97, -1
Let t(x) = 35*x - 81. Let j be t(3). Let v be j/(-8)*(-2)/3. Solve 0 + 1/8*g**4 - 1/4*g**3 + 1/4*g - 1/8*g**v = 0 for g.
-1, 0, 1, 2
Let i(h) be the third derivative of -h**6/60 - 3*h**5/10 + 49*h**4/12 - 13*h**3 - 205*h**2. Suppose i(y) = 0. Calculate y.
-13, 1, 3
Let v(n) = -10*n**4 + 5*n**3 - 15*n**2 + 10*n + 5. Let t(y) = y**4 + 2*y**3 - y - 1. Let c(l) = 5*t(l) + v(l). Factor c(x).
-5*x*(x - 1)**3
Suppose -4*h + 5*u - 6 = 33, -5*h - 15 = 5*u. Let j be (12/9)/(h/(-9)). Factor -2/5*l**j + 12/5*l - 18/5.
-2*(l - 3)**2/5
Let d(x) = 11*x**2 + 73*x + 68. Let v(k) = 40*k**2 + 291*k + 273. Let i(g) = 22*d(g) - 6*v(g). Factor i(o).
2*(o - 71)*(o + 1)
Let f be (-3)/20*18/(-54). Let a(t) be the second derivative of -1/3*t**3 + 1/4*t**4 + 0*t**2 + 0 - 4*t - f*t**5. Let a(p) = 0. Calculate p.
0, 1, 2
Let l(a) = 2*a**2 + 23*a + 1. Let z be l(-11). Let o be (-16)/20*(-1)/z*-5. Factor 2/5*f + 2/5*f**2 - 2/5*f**4 - o*f**3 + 0.
-2*f*(f - 1)*(f + 1)**2/5
Let r(h) be the second derivative of -h**5/20 + 6*h**4 - 216*h**3 + h - 4. Factor r(m).
-m*(m - 36)**2
Let c(h)