- 2/5 + 2/5*q**2 + 2/5*q**3.
2*(q - 1)*(q + 1)**2/5
Factor -4/3*t**3 + 2/3*t**2 + 2/3*t**4 + 0 + 0*t.
2*t**2*(t - 1)**2/3
Let q = 129 - 1159/9. Factor 0*r - q*r**2 + 2/9*r**3 + 0.
2*r**2*(r - 1)/9
Let -3/2*a**2 + 6 - 3/2*a**3 + 6*a = 0. Calculate a.
-2, -1, 2
Suppose -5*i + 2 + 33 = 0. Suppose -i = -2*b - 3. Factor b*q + 1 - q**2 - 2*q.
-(q - 1)*(q + 1)
Let x(z) = z**5 + z**3 - z + 1. Let j(w) = 6*w**5 + 9*w**3 - 8*w + 7. Let c(r) = -5*j(r) + 35*x(r). Determine a, given that c(a) = 0.
-1, 0, 1
Let c(h) = h**3 + 2*h**2 - 2*h - 1. Suppose -v = -0*t - 3*t - 2, 4*t = 3*v + 4. Let m be c(t). Let 2*w - 5*w**m + w**3 + w**5 + w**5 = 0. Calculate w.
-1, 0, 1
Let r be ((-56)/10)/2 - (-10 - -7). Let j(c) be the first derivative of -2 + r*c**2 + 2/25*c**5 + 3/10*c**4 + 0*c + 2/5*c**3. Solve j(h) = 0.
-1, 0
Let d(k) be the second derivative of k**5/150 + k**4/30 + 2*k**3/45 - 15*k. Factor d(s).
2*s*(s + 1)*(s + 2)/15
Let 0 + 9/7*r**3 + 6/7*r**4 - 6/7*r**2 - 9/7*r**5 + 0*r = 0. Calculate r.
-1, 0, 2/3, 1
Let v(w) be the second derivative of -6*w**2 - 3*w - 81/4*w**4 - 18*w**3 + 0. Factor v(p).
-3*(9*p + 2)**2
Let n(s) = -s**3 - 6*s**2 + s + 6. Let f be n(-6). Determine r, given that 5*r - 3*r - 2*r**3 + f*r**3 = 0.
-1, 0, 1
Let u(w) be the third derivative of -7/30*w**5 + 0*w + 0 - 1/168*w**8 + 0*w**3 - 3/20*w**6 - 1/21*w**7 - 1/6*w**4 - 3*w**2. Find n such that u(n) = 0.
-2, -1, 0
Let o(l) = -l**2 - 8*l - 10. Let u be o(-6). Let -g + 2/3 + 1/3*g**u = 0. Calculate g.
1, 2
Suppose 5*n = -k + 3*k - 26, 0 = k + 2*n + 5. Factor -4*u**2 + 2 + u**4 + 3*u**3 + u**2 - 2*u**k - u.
(u - 1)**2*(u + 1)*(u + 2)
Let a(u) be the first derivative of 5*u**3/3 + 15*u**2 + 45*u + 9. Determine o, given that a(o) = 0.
-3
Let s = 43 - 38. Suppose -s*z + 4*z + 3 = 0. Let 9/2*p - 3/2*p**2 - z = 0. What is p?
1, 2
Let p(j) be the first derivative of -2*j**3/15 - 14*j**2/5 - 98*j/5 - 2. Factor p(y).
-2*(y + 7)**2/5
Let w(l) = l**5 - l**4 - 2*l**3 - 1. Let o(q) = -1 + 0*q - 3*q**4 - q + 2*q**4. Suppose 5 = 9*d - 13. Let c(u) = d*w(u) - 2*o(u). Find t such that c(t) = 0.
-1, 0, 1
Let o(i) = -11*i**3 + 19*i**2 - i. Let r(g) = -5*g**3 + 9*g**2 - g. Let t(h) = 4*o(h) - 9*r(h). Let c be t(4). Factor -2/3*z**c - 2*z**3 - 2*z**2 - 2/3*z + 0.
-2*z*(z + 1)**3/3
Let k(q) be the second derivative of -q**7/84 + 3*q**5/40 + q**4/12 - 14*q. Solve k(y) = 0 for y.
-1, 0, 2
Let i(f) = 2 + 2*f**2 + f**2 - 2*f + 1. Let v(c) = c**2 - c. Let q(w) = -i(w) + 4*v(w). Factor q(y).
(y - 3)*(y + 1)
Suppose -4536*l + 4547*l = 110. What is x in 15/2*x**2 + 0*x - l - 5/2*x**3 = 0?
-1, 2
Factor -4 - 3*t**3 + 13*t**4 - 10*t**4 + 4.
3*t**3*(t - 1)
Let i(x) be the third derivative of -x**7/7560 - x**6/1080 + x**4/8 + x**2. Let r(m) be the second derivative of i(m). Factor r(b).
-b*(b + 2)/3
Let t(y) be the second derivative of 0*y**2 + 1/60*y**5 - 1/36*y**4 + 1/90*y**6 - 1/18*y**3 + 0 + 2*y. Suppose t(n) = 0. What is n?
-1, 0, 1
Let c be 1*0*(-1)/(-3). Let s(u) be the second derivative of 1/6*u**3 + 1/6*u**4 + 0 + c*u**2 + 1/20*u**5 - u. Factor s(g).
g*(g + 1)**2
Let k(c) be the third derivative of c**8/112 + 2*c**7/35 - c**6/20 - 2*c**5/5 + c**4/8 + 2*c**3 + 73*c**2. Find w, given that k(w) = 0.
-4, -1, 1
Let g(p) be the third derivative of p**8/20160 - p**7/8400 - p**6/1800 + p**5/20 - 2*p**2. Let c(v) be the third derivative of g(v). Factor c(d).
(d - 1)*(5*d + 2)/5
Factor -16 - 2 - 39 + 5*n**3 + 50*n**2 - 5*n + 7.
5*(n - 1)*(n + 1)*(n + 10)
What is b in -2/5 - 2/5*b**2 - 4/5*b = 0?
-1
Let i = -48 + 50. Let k(t) be the first derivative of 0*t - 9/2*t**4 + 8/3*t**3 + 3 - 4/9*t**i. Factor k(g).
-2*g*(9*g - 2)**2/9
Let i = 575 + -4015/7. Determine m so that -4/7*m**3 + 10/7*m**2 + 0 + 4/7*m - i*m**4 = 0.
-1, -2/5, 0, 1
Let p = -19 + 27. Factor -25 - p*m**2 + 16*m + 9 + 4*m**2.
-4*(m - 2)**2
Find s such that 26/9*s + 76/9*s**3 + 4/9 + 10/9*s**5 + 64/9*s**2 + 44/9*s**4 = 0.
-1, -2/5
Let j(t) = -t**3 - 8*t**2 + 2*t + 16. Let n be j(-8). Let a(p) be the third derivative of 0*p**4 - 1/300*p**5 + 0*p**3 + n - 2*p**2 + 0*p. Factor a(b).
-b**2/5
Let 0 + 1/5*v**5 + 4*v**2 - 7/5*v**3 - 12/5*v - 2/5*v**4 = 0. Calculate v.
-3, 0, 1, 2
Let o(u) be the first derivative of u**6/3 - 6*u**5/5 + 3*u**4/2 - 2*u**3/3 + 4. Let o(i) = 0. What is i?
0, 1
Let s(k) be the first derivative of -4*k**3/3 - 4*k**2 - 4*k - 21. Factor s(h).
-4*(h + 1)**2
Let r(i) be the first derivative of -i**5/330 + i**4/66 + i**3/11 - i**2 - 7. Let l(w) be the second derivative of r(w). Factor l(z).
-2*(z - 3)*(z + 1)/11
Let a(x) be the third derivative of 0*x**3 - 1/27*x**4 - 4/135*x**5 - x**2 + 1/108*x**6 + 0*x + 0. Solve a(h) = 0.
-2/5, 0, 2
Let r be (2/(-12))/((-10)/60). Let u = 1 - r. What is x in 0*x - 2/9*x**3 + u - 2/9*x**2 = 0?
-1, 0
Suppose 0*u - 3*z = -u - 10, 2*u - 4*z = -12. Let m = 157/4 + -39. Factor -1/2 + 1/4*p**u + m*p.
(p - 1)*(p + 2)/4
Suppose 5*g = -3*j + 12, 0 = 3*g + 5*j - 2 - 18. Factor -1 + 1 + g - 2*x**2 + 2*x**4.
2*x**2*(x - 1)*(x + 1)
Factor -2*x + 0*x**2 + 9 - 6 - x**2.
-(x - 1)*(x + 3)
Let y(z) = -3*z**3 - 17*z**2 + 151*z - 343. Let k(m) = -2*m**3 - 18*m**2 + 150*m - 343. Let t(d) = 4*k(d) - 3*y(d). Determine i so that t(i) = 0.
7
Factor 1/5 + 3/10*p + 0*p**2 - 1/10*p**3.
-(p - 2)*(p + 1)**2/10
Let j be 30/75 - 26/(-35). Let 2/7 + 4/7*g**2 + j*g - 8/7*g**3 - 6/7*g**4 = 0. Calculate g.
-1, -1/3, 1
Let h(z) = 7*z**4 - 15*z**3 - 22*z**2. Let k(s) = -s**4 + s**2. Let l(g) = h(g) + 2*k(g). Factor l(v).
5*v**2*(v - 4)*(v + 1)
Let r(x) be the second derivative of -2*x**5/5 + 3*x**4 + 34*x**3/3 + 12*x**2 + 29*x. Factor r(i).
-4*(i - 6)*(i + 1)*(2*i + 1)
Let u(x) be the third derivative of -x**8/28 + 9*x**7/70 - x**6/20 - 2*x**5/5 + 3*x**4/4 - x**3/2 + 9*x**2. Determine n, given that u(n) = 0.
-1, 1/4, 1
Let z(r) = 4*r**4 - 2*r**3 - 4*r**2 - 2*r + 4. Let t(y) = 5*y**4 - 3*y**3 - 4*y**2 - 3*y + 5. Let v = 0 + -3. Let o(f) = v*z(f) + 2*t(f). Factor o(b).
-2*(b - 1)**2*(b + 1)**2
Let z(n) be the second derivative of -1/6*n**3 + 1/20*n**5 + n + 1/12*n**4 + 0*n**2 - 1/30*n**6 + 0. Determine r, given that z(r) = 0.
-1, 0, 1
Let o(l) = -l**2 + 15*l + 1. Let u be o(15). Let j(p) be the first derivative of 0*p + 0*p**3 - 1/25*p**5 + 0*p**2 + 1/20*p**4 - u. Factor j(n).
-n**3*(n - 1)/5
Let l(b) be the second derivative of -b**7/168 - b**6/120 + 3*b**5/40 + 5*b**4/12 - 7*b. Let a(v) be the third derivative of l(v). Let a(g) = 0. Calculate g.
-1, 3/5
Let g(p) = 2*p**2 + 5*p + 11. Let v(i) = 2*i**2 + 6 + 4*i + 13 + 0*i**2 - 7. Let y(w) = 4*g(w) - 3*v(w). Suppose y(t) = 0. Calculate t.
-2
Let h(p) be the first derivative of 5*p**3/6 + 5*p**2/2 + 5*p/2 + 12. Determine j so that h(j) = 0.
-1
Let w(a) be the second derivative of -3/2*a**2 + 1/240*a**5 + 0 - 1/480*a**6 + 0*a**4 - 3*a + 0*a**3. Let z(s) be the first derivative of w(s). Factor z(x).
-x**2*(x - 1)/4
Let t be 2/6 - 2/42. Let o(d) = -18*d. Let n be o(0). Factor t*p**2 + n + 0*p.
2*p**2/7
Let d = 290 + -2028/7. Suppose -d + 9/7*g**2 - g = 0. Calculate g.
-2/9, 1
Factor -15/2*t + 0 - 20*t**2.
-5*t*(8*t + 3)/2
Factor -4/7*g**4 - 8/7*g - 16/7*g**3 - 20/7*g**2 + 0.
-4*g*(g + 1)**2*(g + 2)/7
Let k(u) = u**2 - 6*u + 10. Let v be k(4). Factor 2/9*z + 2/9*z**v - 4/9*z**3 + 0.
-2*z*(z - 1)*(2*z + 1)/9
Let w(m) = -5*m**3 + 10*m**2 - 10*m. Let a(q) = -36*q**3 + 69*q**2 - 69*q. Let f(u) = 2*a(u) - 15*w(u). Factor f(i).
3*i*(i - 2)**2
Factor -4*y + 2/7*y**2 + 14.
2*(y - 7)**2/7
Let f = 88/15 - 17/3. Let d(x) be the first derivative of -2 + f*x + 8/15*x**3 - 3/5*x**2. Factor d(m).
(2*m - 1)*(4*m - 1)/5
Let l(v) be the second derivative of -v**6/45 + v**5/6 - 7*v**4/18 + v**3/3 - 9*v. Factor l(f).
-2*f*(f - 3)*(f - 1)**2/3
Suppose -l = l - 6. Factor -8*r**3 - 6*r - 1 - 12*r**2 + 2*r**3 - l*r**4 - 4*r**3.
-(r + 1)**3*(3*r + 1)
Let w(g) be the second derivative of g**6/30 - g**4/4 - g**3/3 - 23*g. Find c, given that w(c) = 0.
-1, 0, 2
Suppose -18*g**3 + 3*g**4 - 36*g + 16*g**2 + 12 - 16*g**2 + 39*g**2 = 0. What is g?
1, 2
Let q(a) be the third derivative of a**5/60 - 22*a**2 - 1. Suppose q(d) = 0. What is d?
0
Factor 8/5 - 4/5*v - 4/5*v**2.
-4*(v - 1)*(v + 2)/5
Let y(v) be the first derivative of -2/21*v**3 - 3 - 32/7*v + 8/7*v**2. Factor y(n).
-2*(n - 4)**2/7
Let r = 1077/7 + -153. Suppose -6/7*l**4 + 6/7*l