 derivative of y(d). Factor m(b).
-2*b**3*(b - 1)**2
Let z = 63 - 251/4. Let p = 4 + -4. Let z*q**2 - 1/4 + p*q = 0. Calculate q.
-1, 1
Suppose 2*i = 61 + 11. Suppose -34*l**5 + 42*l**2 + 22*l**2 - i*l**3 + 16*l - 184*l**4 + 174*l**5 = 0. Calculate l.
-2/5, -2/7, 0, 1
Suppose m - 6 = -11*v + 8*v, 3*m - 2 = -v. Factor 1/3*i**v - 2/3*i + 0.
i*(i - 2)/3
Let c be (1/2)/((-3)/(-12)). Suppose c*q = -0*q + 4. Factor 0 + 2/5*p**5 - 6/5*p**4 - 2/5*p**q + 0*p + 6/5*p**3.
2*p**2*(p - 1)**3/5
Suppose 8 = 2*s + 4*c - 14, 16 = 4*s + c. Let z be s + -2 + (-2)/2. Factor -1/2*v**4 + 1/2*v**3 + 0 + z*v**2 + 0*v.
-v**3*(v - 1)/2
Let x(u) = u**2 + 6*u - 55. Let c be x(-11). Suppose -5*t = 3*g - 5 - 6, -g = 3*t - 5. Factor -2/5*z + c + 2/5*z**g.
2*z*(z - 1)/5
Let l = -226049/150 - -1507. Let v(i) be the third derivative of 0*i - i**2 + 4/525*i**7 + 0 + 0*i**3 + 0*i**4 - 1/100*i**6 - l*i**5. What is q in v(q) = 0?
-1/4, 0, 1
Let c(w) be the third derivative of w**6/80 - w**5/40 - 13*w**2. Factor c(x).
3*x**2*(x - 1)/2
Let r(l) be the second derivative of l**5/60 + l**4/18 + l**3/18 + 9*l. Determine f so that r(f) = 0.
-1, 0
Let h be (-22 + 23)/((-1)/(-3)). Let x(f) be the first derivative of 2 - 2/5*f**5 + f**4 + 0*f + 2/3*f**h - 2*f**2. Factor x(u).
-2*u*(u - 2)*(u - 1)*(u + 1)
Let f(b) be the second derivative of -b**7/210 + 7*b**6/480 - b**5/120 - b**4/96 + 4*b**2 - 6*b. Let n(l) be the first derivative of f(l). Factor n(k).
-k*(k - 1)**2*(4*k + 1)/4
Let f = -13 + 18. Let i be (-4)/(f/(10/(-4))). Factor 0 + 2/9*q - 4/9*q**i + 0*q**3 - 2/9*q**5 + 4/9*q**4.
-2*q*(q - 1)**3*(q + 1)/9
Suppose 5*i = -5*q - 15, 0 = -2*q + 7*q - i - 15. Factor -1/2*g**q - 1/2 - g.
-(g + 1)**2/2
Let z(o) be the second derivative of o**5/90 + o**4/6 + o**3 + 3*o**2 - 14*o. Factor z(g).
2*(g + 3)**3/9
Determine i, given that 2/7*i - 2/7*i**2 + 4/7 = 0.
-1, 2
Let b(c) = -4 + c + 0*c - 3 + 6*c**2. Let j(h) = 5*h**2 + h - 6. Let o(v) = 6*b(v) - 7*j(v). Suppose o(r) = 0. Calculate r.
0, 1
Let o(b) be the first derivative of -b**4/2 + 2*b**3 - 3*b**2 + 2*b + 11. Solve o(x) = 0.
1
Factor -68/7*v - 36/7*v**5 + 192/7*v**2 + 8/7 - 248/7*v**3 + 152/7*v**4.
-4*(v - 1)**4*(9*v - 2)/7
Let d(f) be the third derivative of 0*f - f**2 + 1/150*f**5 - 1/20*f**4 + 2/15*f**3 + 0. Find j, given that d(j) = 0.
1, 2
Factor 2/5 + 0*y - 2/5*y**2.
-2*(y - 1)*(y + 1)/5
Let y(u) = -2*u**3 + 4*u**2 - 6*u. Let v(p) = 5*p**3 - 9*p**2 + 12*p + 1. Let s(b) = -4*v(b) - 9*y(b). Factor s(j).
-2*(j - 1)**2*(j + 2)
Factor 5/2*t**2 + 1/2*t**4 + 0 + 3*t**3 + 0*t.
t**2*(t + 1)*(t + 5)/2
Factor -2/7*x + 1/7 - 1/7*x**4 + 0*x**2 + 2/7*x**3.
-(x - 1)**3*(x + 1)/7
Let c be 5/((-5)/23) - -3. Let j(d) = -6*d**4 - 2*d**3 + 6*d**2 + 2*d - 5. Let r(w) = w**4 - w**2 + 1. Let l(u) = c*r(u) - 4*j(u). Factor l(m).
4*m*(m - 1)*(m + 1)*(m + 2)
Let b(k) be the second derivative of -k**7/2520 - k**6/720 - k**4/6 + k. Let u(v) be the third derivative of b(v). What is t in u(t) = 0?
-1, 0
Suppose -2 = -2*q + q. Suppose -v**2 + 0*v**2 - 2*v**3 + 3*v**q = 0. Calculate v.
0, 1
Let u = 5 + -3. Let n = u + 2. Suppose 4*s - 2*s**2 - n*s + 2*s**4 = 0. Calculate s.
-1, 0, 1
Let p(v) be the second derivative of -1/30*v**6 + 4*v + 0*v**3 + 0*v**2 + 3/20*v**5 + 0 - 1/6*v**4. Factor p(o).
-o**2*(o - 2)*(o - 1)
Let g(q) = 4*q**2 - 2. Let i(f) = 7*f**2 - f - 5. Let w(z) = 5*g(z) - 2*i(z). Factor w(d).
2*d*(3*d + 1)
Let u = 6 + -6. Suppose 3*i + u*i - 9 = 0. Find d, given that d**3 - d**3 - d**i + d**4 + 0*d**3 - d**2 + d**5 = 0.
-1, 0, 1
Factor 2/11*y**2 + 10/11*y + 12/11.
2*(y + 2)*(y + 3)/11
Let k(t) be the third derivative of 2/3*t**3 - 2/105*t**7 - 1/15*t**6 + 0 + 1/3*t**4 + 0*t + 0*t**5 - 3*t**2. Solve k(y) = 0 for y.
-1, 1
Factor -3/5*c**3 + 3/5*c + 0 + 0*c**2.
-3*c*(c - 1)*(c + 1)/5
Let s(p) be the first derivative of -3/16*p**4 + 1/8*p**6 + 0*p**2 + 0*p - 1/2*p**3 - 6 + 3/10*p**5. Determine z, given that s(z) = 0.
-2, -1, 0, 1
Let n(s) be the first derivative of -2/65*s**5 + 0*s + 1/26*s**4 - 6 + 2/39*s**3 - 1/13*s**2. Factor n(r).
-2*r*(r - 1)**2*(r + 1)/13
Let w be (-18)/(-8)*(10 - 2). Let x be (-4)/6 - (-255)/w. Determine r, given that x*r**3 - 27/2*r**4 + 4*r**2 - 27*r**5 + 0 - 2*r = 0.
-2/3, 0, 1/3, 1/2
Let n(b) be the third derivative of -b**6/120 - 2*b**5/15 - b**4/3 - 5*b**3/6 - b**2. Let g be n(-7). Factor 4*y + 2*y**g - y**3 - 4*y - y**3.
-2*y**2*(y - 1)
Find l such that -2*l**2 - 492 + 96*l - l**2 - 276 = 0.
16
Solve 43*g**3 + g**4 + 0*g**2 - 5*g**4 - 100*g**2 - 3*g**3 = 0.
0, 5
Let x(j) be the third derivative of -2/3*j**3 + 5*j**2 - 1/60*j**5 + 0*j + 0 - 1/6*j**4. Factor x(f).
-(f + 2)**2
Let j(l) be the third derivative of l**6/160 + l**5/20 - l**4/32 - l**3/2 + 21*l**2. Factor j(b).
3*(b - 1)*(b + 1)*(b + 4)/4
Let x = 95 + -55. Let f = 202/5 - x. Factor -f*j**3 + 7/5*j**4 - 7/5*j**2 + 2/5*j + 0.
j*(j - 1)*(j + 1)*(7*j - 2)/5
Let p(u) = -10*u**2 + 74*u + 32. Let y(r) = -r. Let d(n) = -2*p(n) + 4*y(n). Let d(v) = 0. What is v?
-2/5, 8
Let l(s) = -3*s**2 + 4*s - 9. Let a = 28 + -42. Let w(h) = -10*h**2 + 11*h - 27. Let v(p) = a*l(p) + 4*w(p). Let v(c) = 0. What is c?
3
Let c be -1 + 0 - 582/(-576). Let k(y) be the third derivative of -1/480*y**6 + 1/240*y**5 + c*y**4 + 0 + 0*y - 1/24*y**3 + y**2. Factor k(p).
-(p - 1)**2*(p + 1)/4
Let m(o) be the first derivative of -3*o**4 + 3*o**3 + 3*o**2/2 + 5. Let m(l) = 0. Calculate l.
-1/4, 0, 1
Let j(u) be the second derivative of u**6/420 - 2*u**5/105 + u**4/21 + 2*u**2 + 4*u. Let r(p) be the first derivative of j(p). Determine h, given that r(h) = 0.
0, 2
Let i(a) be the second derivative of -a**9/1008 + a**8/560 + a**7/280 - a**6/120 - a**3/3 - 4*a. Let b(l) be the second derivative of i(l). Factor b(p).
-3*p**2*(p - 1)**2*(p + 1)
Let z(t) = t + 7. Let r be z(-4). Let p(x) be the second derivative of -1/80*x**5 + 0*x**2 - 2*x - 1/40*x**6 + 1/16*x**4 + 0 + 1/24*x**r. Factor p(h).
-h*(h - 1)*(h + 1)*(3*h + 1)/4
Let u(w) = 3*w + 45. Let a be u(-14). Let d(o) be the third derivative of 0*o + 1/30*o**5 - 2*o**2 + 0 + 1/12*o**4 + 0*o**a. Suppose d(m) = 0. Calculate m.
-1, 0
Suppose -a + 4*u - 64 = 0, 3*u - 153 = 2*a - 0*a. Let z = a - -422/5. Solve -2/5*t**2 + 4/5 - z*t = 0.
-2, 1
Let b(v) be the third derivative of -v**8/336 + v**7/105 + v**6/120 - v**5/30 - 43*v**2. What is y in b(y) = 0?
-1, 0, 1, 2
Let x = -2 - -6. Suppose 4*f - 1 = x*g + 19, 3*f - 9 = g. Factor -2*w**4 - w - 6*w**3 + 2*w**2 + 0*w**2 - w - 8*w**f.
-2*w*(w + 1)**3
Suppose -4*i - 4*t = 0, 2*t = -0*i + 2*i. Suppose -2*w**4 - 2*w**2 - 3*w**3 + i - 1/2*w**5 - 1/2*w = 0. Calculate w.
-1, 0
Let w(b) be the third derivative of b**7/4200 - b**6/1800 - b**5/300 - b**3/3 + 3*b**2. Let f(k) be the first derivative of w(k). Find c, given that f(c) = 0.
-1, 0, 2
Let g = -12007/105 + 807/7. Let g*j - 2/3*j**2 - 4/15 = 0. Calculate j.
2/5, 1
Suppose -3*f + 4*n - 1 = -0, -n = -4*f + 3. Let -f - 1/4*g**2 - g = 0. Calculate g.
-2
Suppose -20 = -4*w - 2*g, 0 = -3*w + 3*g - 1 - 2. Let v(j) be the first derivative of 1/2*j**4 + 1 + 2/3*j**w + 0*j - 2*j**2. Find y, given that v(y) = 0.
-2, 0, 1
Solve 366 - 3*c + 0*c**2 - 3*c**2 - 330 = 0.
-4, 3
Solve 18*l**2 + 17*l**2 + 98*l**4 - 17*l**2 + 0*l**2 - 84*l**3 = 0.
0, 3/7
Let u(g) = -12*g**3 + 21*g**2 + 6*g + 4. Let r(y) = 12*y**3 - 21*y**2 - 6*y - 3. Let n(i) = -4*r(i) - 3*u(i). Solve n(v) = 0 for v.
-1/4, 0, 2
Factor 18*u - 6*u - 4 - 2*u**3 - 22*u - 8*u**2.
-2*(u + 1)**2*(u + 2)
Let p(b) be the second derivative of -1/135*b**6 - 9*b + 0 - 1/27*b**3 + 1/90*b**5 + 0*b**2 + 1/54*b**4. Factor p(u).
-2*u*(u - 1)**2*(u + 1)/9
Let a(s) be the first derivative of 2*s**3/39 - s**2/13 - 12. Determine d, given that a(d) = 0.
0, 1
Let j(f) be the second derivative of f**5/100 - f**4/30 - 8*f. Factor j(d).
d**2*(d - 2)/5
Factor -2/5 - 3/5*p - 1/5*p**2.
-(p + 1)*(p + 2)/5
Let b(h) be the second derivative of -1/120*h**5 - 1/24*h**4 + 3*h + 0*h**3 + 3/2*h**2 + 0. Let y(o) be the first derivative of b(o). Factor y(p).
-p*(p + 2)/2
Let a(f) = f**5 - 4*f**4 - f**3 + 9*f**2 + 5*f. Let o(x) = -2*x**5 + 4*x**4 + 2*x**3 - 10*x**2 - 6*x. Let w(s) = -6*a(s) - 5*o(s). Factor w(n).
4*n**2*(n - 1)*(n + 1)**2
Let b be (-56)/21*6/(-8). Suppose m + b*l + 0*l = 7, m - 3*l - 2 = 0. Determine g so that 0*g**2 - 4/3*g**m + 0*g + 2/3*g**3