+ 0*b.
2*b**3*(b - 1)**2/13
Let m(b) be the third derivative of -b**8/45360 + b**6/1620 + b**5/3 - 4*b**2. Let z(y) be the third derivative of m(y). Suppose z(x) = 0. What is x?
-1, 1
Let j(w) = 100*w**2 - 9*w + 20. Let y(u) = -u + 4. Let k(b) = j(b) - 5*y(b). Factor k(l).
4*l*(25*l - 1)
Let b(d) be the second derivative of -d**4/28 + 11*d**3/14 - 15*d**2/7 + 10*d + 3. Find u such that b(u) = 0.
1, 10
Let h(j) = 12*j. Let i be h(1). Let d be 3/4 + 27/i. Suppose 8 + 8 - 9 - 5*x**2 - x**d - 3*x + 2 = 0. Calculate x.
-3, 1
Let a(y) be the first derivative of 6*y**3 + 11 - 27/2*y**2 + 0*y - 3/4*y**4. Let a(b) = 0. Calculate b.
0, 3
Suppose 46*y + 20 = 41*y. Let q be 368/(-690)*(1 + 10/y). What is z in 12/5*z - q - 11/5*z**2 + 3/5*z**3 = 0?
2/3, 1, 2
Let n = 9 + -6. Suppose n*x - 7 = 5. Let f(u) = -6*u**2 + 6*u - 21. Let v(z) = -z**2 + z - 4. Let y(r) = x*f(r) - 21*v(r). Factor y(g).
-3*g*(g - 1)
Let g(r) = 65*r - r**3 + 59*r - r**2 + 64*r - 189*r. Let o(b) = -2*b**3 - 11*b**2 - 2*b**3 - 5*b**3 - 13*b. Let i(v) = -22*g(v) + 2*o(v). Factor i(j).
4*j*(j - 1)*(j + 1)
Let t(s) be the third derivative of 0*s**3 + 10*s**2 - 1/420*s**5 + 0 - 1/56*s**4 + 0*s. Factor t(r).
-r*(r + 3)/7
Let u be 84 + (-4 - (-8)/2). Factor 4*f**3 + u*f**2 - f**5 + 3 + 2*f**3 - f**4 - 5*f - 86*f**2.
-(f - 1)**3*(f + 1)*(f + 3)
Suppose 0 = 5*h + 2*z - 32 - 15, -4*z - 41 = -5*h. Let s be -1*1*(-18)/h. Factor 2/11 + 2/11*q - 2/11*q**s - 2/11*q**3.
-2*(q - 1)*(q + 1)**2/11
Let q(s) be the third derivative of -s**5/12 - 250*s**4/3 - 100000*s**3/3 - 106*s**2. Factor q(f).
-5*(f + 200)**2
Let t(d) be the second derivative of 0*d**3 + 1/105*d**6 + 0*d**5 - 1/42*d**4 - 13*d + 0 + 0*d**2. Factor t(k).
2*k**2*(k - 1)*(k + 1)/7
Let v be -1 - (0 + 3768/(-28)). Let g = v + -133. Determine b so that 2/7*b**2 - 2/7*b - g = 0.
-1, 2
Let j(q) be the second derivative of -22*q + 0*q**2 + 1/21*q**4 + 1/21*q**3 + 1/70*q**5 + 0. Determine x so that j(x) = 0.
-1, 0
Let j(x) be the first derivative of x**7/840 - x**5/120 - 20*x**3/3 - 9. Let a(i) be the third derivative of j(i). Factor a(q).
q*(q - 1)*(q + 1)
Let z(x) be the third derivative of x**8/36960 - x**7/13860 - x**6/1980 - 5*x**4/24 + 13*x**2. Let m(v) be the second derivative of z(v). Factor m(t).
2*t*(t - 2)*(t + 1)/11
Let w(r) = -84*r**2 + 20*r + 14. Let c(b) = -129 - 17*b**2 + b + 3*b + 132. Let o(z) = -14*c(z) + 3*w(z). Suppose o(q) = 0. What is q?
0, 2/7
Determine y, given that -10/17*y + 2/17*y**4 + 10/17*y**3 + 10/17*y**2 - 12/17 = 0.
-3, -2, -1, 1
Let k(z) = 38*z**2 + 4*z + 3. Let v be k(-2). Let i = v + -147. Factor -6/11*l**3 - 4/11*l**2 + i*l + 0*l**4 + 0 + 2/11*l**5.
2*l**2*(l - 2)*(l + 1)**2/11
Let i = -249/4 + 499/8. Let v(k) be the second derivative of -i*k**4 - 1/4*k**2 + 1/40*k**5 + 0 + 1/4*k**3 + 5*k. Factor v(p).
(p - 1)**3/2
Factor -1/3*k**2 - 4/3 + 4/3*k.
-(k - 2)**2/3
Factor 1/9*d**5 + 0 + d**4 + 3*d**2 + 0*d + 3*d**3.
d**2*(d + 3)**3/9
Let l be (-42)/(-9) + 4/12. Suppose -l*i = 3*t - 13, -t = 3*i + t - 8. Factor 2*r + 0*r - 3*r**2 - 2*r**i.
-r*(5*r - 2)
Suppose 13*m - 1168 = -279*m. Determine u so that 0 + 2/5*u**m - 8/15*u - 26/15*u**3 + 32/15*u**2 = 0.
0, 1/3, 2
Suppose 4*f = 3*r - 88, r - 7 = f + 23. Suppose -5*i + 9*i = r. Find c such that 0*c - 2 - i*c - 2 - 4*c**2 = 0.
-1
Let j(v) be the second derivative of 5*v**8/336 + v**7/14 + v**6/8 + v**5/12 - 7*v**2 - 28*v. Let t(a) be the first derivative of j(a). Factor t(g).
5*g**2*(g + 1)**3
Factor 16*a**3 + 4/5*a**4 + 0 + 648/5*a + 468/5*a**2.
4*a*(a + 2)*(a + 9)**2/5
Factor 3*l + 2 + 15*l**2 + 4 - 7*l**3 + 4*l**3 - 21.
-3*(l - 5)*(l - 1)*(l + 1)
Let k = -82 - -82. Let u(q) be the third derivative of -1/120*q**6 - 1/3*q**3 + 1/30*q**5 + 0*q - 5*q**2 + k + 1/24*q**4. Factor u(r).
-(r - 2)*(r - 1)*(r + 1)
Let w(j) = -j**5 - 2*j**2 + j. Let f(s) = 9*s**5 - 4*s**4 - 2*s**3 + 18*s**2 - 7*s. Let m(b) = -f(b) - 7*w(b). Solve m(i) = 0.
-1, 0, 1, 2
Suppose 8/9 + 224/9*d**4 - 76/9*d - 49/9*d**5 + 254/9*d**2 - 361/9*d**3 = 0. Calculate d.
2/7, 1, 2
Let a(d) be the first derivative of -d**4/4 - d**3/3 + 6*d**2 + 264. Solve a(f) = 0 for f.
-4, 0, 3
Let q = -46 - -46. Let h = 236/1177 + -2/107. Find w, given that 0 - h*w**2 + q*w = 0.
0
Let k be -2 + (-270)/(-75)*((-8)/(-3) - 1). Factor -1/6*x**3 + 1/3*x**k + 1/6*x + 0 - 1/3*x**2.
x*(x - 1)*(x + 1)*(2*x - 1)/6
Let v(m) = -2*m**3 + 7*m**2 - 3*m - 6. Let d be v(4). Let x = d - -38. Factor -6*s**5 + 9*s**x + 4*s**2 - 4*s**5 - 18*s**3 + 15*s**4.
-2*s**2*(s - 1)**2*(5*s - 2)
Suppose -t - 48 = -25*t. Factor 4/5*o**t + 0 + 4/5*o**3 + 0*o.
4*o**2*(o + 1)/5
Suppose -t = -a - 2 - 4, -10 = -3*t - 5*a. Let r be (-11)/((-330)/(-12)) - (-42)/t. What is o in r*o**4 + 7/2*o**5 + 0 + o**2 + 11/2*o**3 + 0*o = 0?
-1, -2/7, 0
Determine l so that -5*l**3 + 32 - 14*l**4 + 35*l**3 - 144*l**2 + 49*l + 50*l**3 + 15*l = 0.
-2/7, 2
Let y be (-9)/((-27)/66) + 2. Suppose m - y = -0*j - 5*j, -2*m - 5*j + 28 = 0. Factor -o**3 + 125*o**4 + 2*o**2 - 127*o**m + o**3.
-2*o**2*(o - 1)*(o + 1)
Let h(m) be the first derivative of m**7/315 - m**5/150 + 8*m - 6. Let t(i) be the first derivative of h(i). Factor t(z).
2*z**3*(z - 1)*(z + 1)/15
Let x(f) be the first derivative of -2/3*f**3 + 12*f - 11 - f**2. Factor x(d).
-2*(d - 2)*(d + 3)
Let t = -1/3136 - -28229/15680. Factor 6/5*u + t + 1/5*u**2.
(u + 3)**2/5
Let c = 53 - 58. Let d(a) = -3*a - 13. Let o be d(c). Factor 1/2*v + v**o - 1/2*v**3 - 1.
-(v - 2)*(v - 1)*(v + 1)/2
Let c(a) = -5*a**3 + 5*a**2 + 2*a - 5. Let f(w) = 4*w**3 - 4*w**2 - 2*w + 4. Suppose 33*o = 34*o + 3. Let d(t) = o*f(t) - 2*c(t). Solve d(x) = 0 for x.
-1, 1
Let t(v) = 1 + v**3 - 5*v**2 + 8 - 5*v - 12. Let s be 1*(1 + -2) - 2. Let z(y) = 2*y**3 - 4*y**2 - 4*y - 4. Let b(u) = s*z(u) + 4*t(u). Factor b(c).
-2*c*(c + 2)**2
Let q be (0 - 1) + (-5)/((-10)/6). Let a(b) be the second derivative of 4/3*b**3 + 1/12*b**4 - 7/20*b**5 + 2*b**q - 1/42*b**7 - 5*b - 1/6*b**6 + 0. Factor a(c).
-(c - 1)*(c + 1)**2*(c + 2)**2
Let n(g) be the first derivative of g**6/72 - g**5/12 - 7*g**3 + 1. Let d(l) be the third derivative of n(l). Determine p so that d(p) = 0.
0, 2
Let u(q) be the first derivative of q**4/18 - 28*q**3/27 + 35*q**2/9 - 44*q/9 + 172. Let u(b) = 0. Calculate b.
1, 2, 11
Suppose 15 = -2*x - 3*p, 10*x = 5*x - 4*p - 20. Let m = 4 + x. Factor 0*a**4 - 3*a**5 - a**4 - 2*a**m.
-3*a**4*(a + 1)
Factor 48/7*f**2 + 0 + 15/7*f**5 - 48/7*f + 12*f**4 + 144/7*f**3.
3*f*(f + 2)**3*(5*f - 2)/7
Let 36*n - 14*n + 53*n + 300 + 5*n**2 + 40*n = 0. Calculate n.
-20, -3
Suppose 0*q + 0*q**2 + 30/13*q**3 + 62/13*q**4 + 4/13*q**5 + 0 = 0. Calculate q.
-15, -1/2, 0
Let q(y) be the first derivative of -64*y**6/51 + 32*y**5/85 + 39*y**4/34 + 6*y**3/17 + 137. Solve q(g) = 0 for g.
-3/8, 0, 1
Let h be (-37 + 17 + 8)*(-2)/8. Determine a, given that 1/4*a**h - 1/4*a - 3/4*a**2 + 3/4 = 0.
-1, 1, 3
Let x(h) = 7*h**2 + 12*h - 36. Let u(r) = -r**2 - r - 2. Let p(f) = 2*u(f) + x(f). Find m, given that p(m) = 0.
-4, 2
Let d(i) = -4*i**2 - 67*i + 18. Let n be d(-17). Let o be 1/(n - 1*(-3)/(-6)). Factor 22/7*l**o - 2/7 - 12/7*l**3 - 8/7*l.
-2*(l - 1)**2*(6*l + 1)/7
Let w be 6 - (12/7 + 36/126). Let s be ((-12)/(-16))/(2/(w/3)). Factor -s*y - 1/4 - 1/4*y**2.
-(y + 1)**2/4
Let h(g) be the first derivative of g**4/6 + 178*g**3/3 + 5896*g**2 - 35912*g/3 + 321. Let h(l) = 0. Calculate l.
-134, 1
Let d be (219/949)/(1/13). Factor 0 + 0*x + 2/9*x**d + 4/9*x**2.
2*x**2*(x + 2)/9
Suppose -y + 20 = 3*i, -y + 28 = 4*i + y. Suppose 5*x = 5*l - 20, 2*x = -i*l + 4*l. Factor 0*g**2 + 5*g**4 + 6*g**3 - 2*g**4 + 3*g**l.
3*g**2*(g + 1)**2
Factor -2/9*h**2 + 2/9*h**4 + 2/3*h + 0 - 2/3*h**3.
2*h*(h - 3)*(h - 1)*(h + 1)/9
Let g be ((-138)/(-15) - 8)/(32/10 + 1). Factor -36/7*h + g*h**2 + 162/7.
2*(h - 9)**2/7
Let k be (1 + -2)*3/(-2). Let w = -995/16 + 1067/16. Solve w*v + k*v**3 - 1 - 5*v**2 = 0 for v.
1/3, 1, 2
Factor -4359*o**4 + 20*o**2 + 4394*o**4 - 54*o**3 - 26*o**3.
5*o**2*(o - 2)*(7*o - 2)
Suppose -2*x + z + 19 = 0, -770*x + 765*x - z = -44. Find r, given that 1/2*r**5 - 10*r**2 + 0 + x*r**3 + 4*r - 7/2*r**4 = 0.
0, 1, 2
Let r(n) be the first derivative of n**5/20 + 5*n**4/12 + n**3/2 - 9*n**2/2 + 6*n - 14. Let v(k) be the first derivative of r(k). Suppose v(w) = 0. What is w?
-3, 1
Let m(z) = 3