 of -w**5/35 - 5*w**4/21 - 2*w**3/3 - 6*w**2/7 - 20*w. Factor x(r).
-4*(r + 1)**2*(r + 3)/7
Factor -98/13*p**3 - 8/13*p + 0 + 56/13*p**2.
-2*p*(7*p - 2)**2/13
Let f be 2 + (-1 - -2) - 70/30. Suppose -1 = a - g, -5*a + g + 22 = 7. Factor 0*m**3 + 0*m - f*m**a + 2/3*m**2 + 0.
-2*m**2*(m - 1)*(m + 1)/3
Let z be 4/((-6)/(-1 + -2)). Suppose -3*b = z*b - 15. Factor 9*a + 2*a**3 + a**3 + 3*a**2 - b - 12*a**2.
3*(a - 1)**3
Suppose 0 = 5*j - 5*o - 3 + 23, 0 = -5*j - 3*o + 12. Let f be ((-7)/(21/12))/(-2). Suppose j - 1/4*y**f + 0*y = 0. Calculate y.
0
Let h(w) = -7*w**5 + 10*w**4 - 12*w**3 + 10*w**2 + 5*w. Let t(a) = a**5 - a**4 + a**3 - a**2 - a. Let u(y) = -h(y) - 6*t(y). Find p, given that u(p) = 0.
0, 1
Let r = -5031/19 + 265. Let q = 7/57 + r. Suppose n + 1/3*n**3 - n**2 - q = 0. Calculate n.
1
Let k(h) be the second derivative of -18*h**7/49 + 24*h**6/35 + 69*h**5/140 - 47*h**4/28 + 13*h**3/14 - 3*h**2/14 + 2*h - 29. Suppose k(r) = 0. What is r?
-1, 1/6, 1
Let u(v) be the third derivative of -v**9/20160 + v**8/13440 + v**7/3360 - v**6/1440 - v**4/12 + 2*v**2. Let t(w) be the second derivative of u(w). Factor t(y).
-y*(y - 1)*(y + 1)*(3*y - 2)/4
Let g(t) be the second derivative of t**5/4 - 25*t**4/12 + 35*t**3/6 - 15*t**2/2 + 37*t. Let g(i) = 0. What is i?
1, 3
Suppose 26 - 12 = 2*s. Let i(x) be the third derivative of 1/18*x**4 - 1/90*x**6 + 4*x**2 + 0*x + 1/9*x**3 + 0 - 1/315*x**s + 0*x**5. Factor i(b).
-2*(b - 1)*(b + 1)**3/3
Let z = 13/2 - 5. Suppose 0 + 5/4*u**4 - z*u**5 + 0*u - 1/2*u**2 + 3/4*u**3 = 0. What is u?
-2/3, 0, 1/2, 1
Factor -1/6*a**3 - 1/6*a + 0 - 1/3*a**2.
-a*(a + 1)**2/6
Let m(v) be the third derivative of -1/60*v**6 + 0*v**3 + 0 + 0*v + 2*v**2 - 1/30*v**5 + 0*v**4. Let m(t) = 0. What is t?
-1, 0
Suppose 2*d = 7*d - 45. Factor -27 - d*k**2 - 6*k + 0*k**3 + k**3 + 20*k + 13*k.
(k - 3)**3
Let l be (2 - 3) + (-63)/(-56). Let b(m) be the third derivative of l*m**4 + 2*m**2 + 0*m**3 + 0 + 0*m + 1/20*m**5. Factor b(t).
3*t*(t + 1)
Let r = -2/383 - -403/3830. Let y(z) be the second derivative of 2/15*z**3 + 1/50*z**5 - r*z**4 + 0*z**2 + 4*z + 0. Factor y(o).
2*o*(o - 2)*(o - 1)/5
Let t(g) be the second derivative of -3*g**7/14 + 7*g**6/5 - 39*g**5/10 + 6*g**4 - 11*g**3/2 + 3*g**2 - 3*g. Factor t(h).
-3*(h - 1)**4*(3*h - 2)
Let m(p) be the first derivative of -4 + 0*p + 0*p**2 + 1/11*p**4 + 2/33*p**3 + 2/55*p**5. Factor m(l).
2*l**2*(l + 1)**2/11
Let 3/2*p**3 - 15/2*p + 9/2*p**2 + 3 - 3/2*p**4 = 0. What is p?
-2, 1
Let w(o) be the first derivative of 2*o**3 - 4*o**2 - 8*o + 6. Determine y so that w(y) = 0.
-2/3, 2
Let r = 4 - 2. Let m = 7 + -4. Factor -q**r + 2*q**m + 3*q**2 + 0*q**2.
2*q**2*(q + 1)
Let v(y) be the second derivative of 1/60*y**5 - 1/6*y**2 - 1/12*y**4 + y + 0 + 1/6*y**3. Suppose v(x) = 0. Calculate x.
1
Let c(v) be the first derivative of -3 + 1/9*v**3 + 5/12*v**4 + 0*v**2 + 0*v + 8/15*v**5 + 2/9*v**6. Suppose c(f) = 0. Calculate f.
-1, -1/2, 0
Let o(z) be the first derivative of -z**6/10 + 18*z**5/25 - 9*z**4/5 + 2*z**3 - 9*z**2/10 + 44. Let o(p) = 0. What is p?
0, 1, 3
Let i(y) be the second derivative of -1/28*y**4 + 0*y**2 - 1/14*y**3 + 0 - 3*y. Factor i(p).
-3*p*(p + 1)/7
Factor -1/3*q**4 - 1/3*q**5 + 2/3*q**2 + 2/3*q**3 - 1/3 - 1/3*q.
-(q - 1)**2*(q + 1)**3/3
Let f(w) be the third derivative of w**7/105 - 3*w**6/20 + w**5 - 11*w**4/3 + 8*w**3 - 25*w**2 + 2. Let f(q) = 0. What is q?
2, 3
Suppose -2 = -2*s + 2*p, p + 3 - 12 = -4*s. Find t such that -t**2 + 0*t**3 + 3*t**3 - 6 + 15*t - 9*t**2 - s*t**2 = 0.
1, 2
Let w(f) be the first derivative of -f**4/5 + 4*f**3/15 - 8. What is a in w(a) = 0?
0, 1
Suppose 4*k = 3*f + 30, -2*f - 7 = -2*k + 7. Let -z**2 + k*z**2 - 10*z**2 = 0. What is z?
0
Let f = -2 - -2. Let k = f - -2. Solve -2*q**2 - k - q - 3*q + 0*q**2 = 0 for q.
-1
Let m(j) be the second derivative of j**6/1440 + j**5/120 + j**4/32 - 2*j**3/3 - 6*j. Let c(n) be the second derivative of m(n). Factor c(i).
(i + 1)*(i + 3)/4
Let i(z) = -z**2 - 30*z + 51. Let l(q) = -q**2 + 1. Let j(r) = i(r) - 6*l(r). Factor j(k).
5*(k - 3)**2
Let c be (9/(-28))/(28/(-112)). Determine r so that 4/7 + 3/7*r**4 + 17/7*r**3 - 8/7*r - c*r**5 - r**2 = 0.
-1, 2/3, 1
Let -8*g + 16/3 - 2*g**4 - 4*g**2 + 22/3*g**3 = 0. Calculate g.
-1, 2/3, 2
Let a(n) be the third derivative of -2*n**7/105 + n**6/15 - n**4/3 + 2*n**3/3 + 25*n**2. Factor a(k).
-4*(k - 1)**3*(k + 1)
Let q = -38/11 - -87/22. Find r, given that q*r**2 + 2*r + 3/2 = 0.
-3, -1
Let q(m) be the second derivative of 5*m**4/12 - 25*m**3/6 + 10*m**2 + 7*m. Let q(v) = 0. Calculate v.
1, 4
Let j(l) be the second derivative of -9/2*l**2 - 1/12*l**4 - l**3 + 0 + 4*l. Factor j(s).
-(s + 3)**2
Let k(z) be the first derivative of -z**5 - 25*z**4/4 - 35*z**3/3 - 15*z**2/2 - 18. Let k(b) = 0. Calculate b.
-3, -1, 0
Let r = 6/29 - -17/58. Factor -t - 1/2 - r*t**2.
-(t + 1)**2/2
Let o(d) be the second derivative of 0 - 2/15*d**6 + 0*d**3 + 0*d**2 - 1/5*d**5 + 2/3*d**4 + 2*d. Factor o(s).
-4*s**2*(s - 1)*(s + 2)
Let -m**5 + 2*m + 4*m**2 - m**5 + 3*m**4 - 7*m**4 = 0. Calculate m.
-1, 0, 1
Let f(n) be the third derivative of -n**7/252 + n**6/360 + 6*n**2. Solve f(z) = 0 for z.
0, 2/5
Let d be 0/2*(-6)/(-12). Let f(m) be the third derivative of 1/300*m**6 + 0*m**5 + 1/525*m**7 + 0*m**3 - m**2 + 0 + d*m + 0*m**4. What is n in f(n) = 0?
-1, 0
Let x(w) = 3*w**2 - 1. Let l be x(-3). Determine i so that i**2 - 12 - 4*i**2 + 0*i**2 - 14*i + l*i = 0.
2
Let n(u) be the third derivative of -25*u**8/1008 + 4*u**7/63 + u**6/36 - 2*u**5/9 + 5*u**4/24 - 13*u**2. Determine c so that n(c) = 0.
-1, 0, 3/5, 1
Let x(d) be the first derivative of -2*d**3/3 + 6. Factor x(j).
-2*j**2
Let c(r) be the first derivative of -2*r**3/3 + 2*r**2 - 2*r - 3. Factor c(w).
-2*(w - 1)**2
Let o(n) be the second derivative of -2*n**7/21 - 8*n**6/15 - 6*n**5/5 - 4*n**4/3 - 2*n**3/3 + 32*n. Factor o(q).
-4*q*(q + 1)**4
Let r = -99/2 + 50. Suppose w + r - 1/2*w**4 - w**3 + 0*w**2 = 0. Calculate w.
-1, 1
Let b = -2011/4 + 505. Factor -3/2 - b*w + 3/4*w**2 + 9/4*w**3 + 3/4*w**4.
3*(w - 1)*(w + 1)**2*(w + 2)/4
Suppose 0*q = -14*q + 28. Factor 0*i - 1/3*i**q + 1/3.
-(i - 1)*(i + 1)/3
Let f(s) be the second derivative of 3*s**8/448 + s**7/280 - s**6/80 + s**2/2 + 3*s. Let x(l) be the first derivative of f(l). Find u such that x(u) = 0.
-1, 0, 2/3
Let i(d) be the first derivative of -3*d**5/5 - 3*d**4/4 + d**3 + 3*d**2/2 + 14. Determine n so that i(n) = 0.
-1, 0, 1
Let u(w) = 42*w**2 - 19*w + 7. Let b(g) = 21*g**2 - 10*g + 4. Let s(n) = -7*b(n) + 4*u(n). Factor s(f).
3*f*(7*f - 2)
Let b(k) be the second derivative of -1/4*k**2 + 0*k**3 + 1/24*k**4 - 2*k + 0. Factor b(v).
(v - 1)*(v + 1)/2
Let z(q) be the third derivative of 0 + 1/70*q**5 + 1/588*q**8 + 0*q**3 + 0*q - 1/420*q**6 - 1/84*q**4 - 2*q**2 - 1/245*q**7. Find s such that z(s) = 0.
-1, 0, 1/2, 1
Suppose -7*f + 14 + 42 = 0. Suppose -l + f*l = 0. Factor 0*s - 6/7*s**3 - 4/7*s**2 + 2/7*s**5 + 0 + l*s**4.
2*s**2*(s - 2)*(s + 1)**2/7
Let u(v) = v**3 - 2*v**2 - 3*v + 2. Let n = 7 + -4. Let b be u(n). Let k(w) = w**2 + w - 4. Let t(a) = -a**2 - a + 5. Let r(o) = b*t(o) + 3*k(o). Factor r(d).
(d - 1)*(d + 2)
Find s, given that 2*s**4 - 4/5*s + 18/5*s**2 + 0 - 24/5*s**3 = 0.
0, 2/5, 1
Suppose 11*s - 26 = 18. Suppose 0*n**3 - 1/4 + 0*n - 1/4*n**s + 1/2*n**2 = 0. What is n?
-1, 1
Let r(v) = 4*v**2 + 3. Let x(n) = 17*n**2 - n + 13. Let z(t) = -26*r(t) + 6*x(t). Factor z(b).
-2*b*(b + 3)
Let t(f) = -14*f**5 - 8*f**4 + 14*f**3 - 36*f**2. Let w(k) = -2*k**5 - k**4 + 2*k**3 - 5*k**2. Let l(m) = -6*t(m) + 44*w(m). Factor l(h).
-4*h**2*(h - 1)**2*(h + 1)
Let m(c) be the second derivative of c**7/189 - 2*c**6/135 + c**5/90 - 3*c. Solve m(o) = 0.
0, 1
Let k(q) be the first derivative of -q**7/315 - q**6/90 + q**4/18 + q**3/9 + q**2 + 3. Let u(h) be the second derivative of k(h). Suppose u(s) = 0. Calculate s.
-1, 1
Let m(n) be the second derivative of -1/18*n**4 + 0*n**2 - 1/60*n**5 - 1/18*n**3 - 3*n + 0. Suppose m(f) = 0. Calculate f.
-1, 0
Suppose 5*w - 27 = t, -3*t + t = 5*w - 21. Let g be (t/7)/((-25)/35). Factor 0*x - 2/5*x**2 + g.
-2*(x - 1)*(x + 1)/5
Find q such that 16/5*q**3 + 8/5 - 4/5*q**5 - 8/5*q**2 - 12/5*q + 0*q**4 = 0.
-2, -1, 1
Suppose 4*b + i - 4*i - 48 = 0, 0 = 3*b - 5*i - 36. Sup