7/42 - k**6/10 + k**4/3 - 8*k. Factor d(h).
h**2*(h - 2)**2*(h + 1)
Determine v so that 2/3*v - v**2 + 0 + 1/3*v**3 = 0.
0, 1, 2
Suppose 4*v - 48 = -w - 2*w, 3*w - 3 = v. Solve -3*u**3 + 23*u**2 + v*u - 24 - 9*u**5 + 31*u**2 + 3*u - 30*u**4 = 0 for u.
-2, -1, 2/3, 1
Let s(i) = 8*i - 96. Let r be s(12). Let r*n + 0 + 2/5*n**2 - 2/5*n**3 = 0. Calculate n.
0, 1
Factor -2/9*x**2 + 0 + 2/3*x.
-2*x*(x - 3)/9
Let z(k) be the second derivative of k**5/150 - k**4/20 + 2*k**3/15 + 2*k**2 - k. Let u(w) be the first derivative of z(w). What is m in u(m) = 0?
1, 2
Factor -6/7*x**3 + 0 - 2/7*x**4 - 10/7*x + 18/7*x**2.
-2*x*(x - 1)**2*(x + 5)/7
Suppose -4*h = h. Let f be (-3)/(-6) + (h - 0). Suppose 1/2*u**3 + 0 + 1/2*u**4 - f*u**2 - 1/2*u = 0. Calculate u.
-1, 0, 1
Let h be 2/(-3)*(1 + -4). Determine y, given that 0*y**2 - 4 - y**5 - 2*y**4 + 4 + 2*y**h + y = 0.
-1, 0, 1
Factor -20*g**2 - 8*g - 14*g + 5*g**3 + 2*g + 0*g**4 + 5*g**4.
5*g*(g - 2)*(g + 1)*(g + 2)
Let v(n) = n**2 + n + 1. Let h(w) = -4*w**2 - 13*w + 11. Let f(a) = -2*h(a) - 10*v(a). Factor f(i).
-2*(i - 4)**2
Let o = -22 - -12. Let q be o/(-3)*12/10. Factor -2*c**2 - 3 - 3*c**q + 4 + c - 2*c**3 + 4*c**4 + c**5.
(c - 1)**2*(c + 1)**3
Let o(c) = -7*c**3. Let k(u) = 3*u**3. Let w(z) = 5*k(z) + 2*o(z). Let j(a) = -6*a - 4. Let l(h) = -j(h) - 2*w(h). Factor l(n).
-2*(n - 2)*(n + 1)**2
Let z = 60 + -58. Find d, given that -4/7 + 0*d**z + 6/7*d - 2/7*d**3 = 0.
-2, 1
Let z(j) be the first derivative of 0*j - 2/21*j**3 + 4 - 2/7*j**2. Factor z(i).
-2*i*(i + 2)/7
Let h(b) = -b**2 - b - 1. Let f(i) = 6*i**2 - 12*i. Let u(l) = f(l) - 2*h(l). Factor u(t).
2*(t - 1)*(4*t - 1)
Let z be (-210)/980*(-70)/4. Factor -z*b**2 + 3/4 + 3/4*b + 9/4*b**3.
3*(b - 1)**2*(3*b + 1)/4
Let s(q) = -q**5 + q**2 - q + 1. Let l(z) = -8*z**5 - 10*z**4 - 14*z**3 + 8*z**2 + 10*z + 14. Let p(c) = l(c) - 6*s(c). Determine g so that p(g) = 0.
-2, -1, 1
Let l(a) = 6*a**2 - 14*a + 10. Let k(o) = 13*o**2 - 29*o + 21. Let q(b) = -2*k(b) + 5*l(b). Determine m so that q(m) = 0.
1, 2
Let m(d) be the third derivative of 0 + 1/15*d**3 + 1/50*d**5 - 1/20*d**4 - 1/300*d**6 + 0*d + 3*d**2. Factor m(w).
-2*(w - 1)**3/5
Let x(r) be the third derivative of r**7/15120 - r**6/720 + r**5/80 + r**4/8 - 4*r**2. Let y(f) be the second derivative of x(f). Factor y(z).
(z - 3)**2/6
Suppose -6*j - 7 = -19. Let n(m) be the first derivative of -1/5*m**5 + 3 + 1/4*m**4 + 0*m + 0*m**3 + 0*m**j. Factor n(k).
-k**3*(k - 1)
Suppose 4*w - l - 23 = 0, 7*w - 4*w - 18 = l. Let s(b) be the first derivative of -4/3*b**3 + 4/5*b**w + 1/2*b**4 - b**2 - 2 + 0*b. What is c in s(c) = 0?
-1, -1/2, 0, 1
Find p, given that -1/6*p**2 + 2 - 11/6*p = 0.
-12, 1
Let q = 70 + -66. Factor -q*g**2 + 2/3 - 10/3*g.
-2*(g + 1)*(6*g - 1)/3
Let n(s) be the third derivative of s**5/450 - s**4/45 + 13*s**2. Determine l so that n(l) = 0.
0, 4
Find h, given that -9/5*h**3 - 3/5 - 3/5*h + 3*h**2 = 0.
-1/3, 1
Let m(v) be the second derivative of v**4/4 + 4*v**3 + 24*v**2 + 6*v. Determine r so that m(r) = 0.
-4
Let t(r) be the first derivative of -r**8/672 + r**6/240 - 3*r**2/2 - 3. Let i(o) be the second derivative of t(o). Factor i(w).
-w**3*(w - 1)*(w + 1)/2
Let g(x) = 9*x**2 + 17*x. Let a(k) = -2*k**2 - 4*k. Let b(u) = -26*a(u) - 6*g(u). Find j such that b(j) = 0.
0, 1
Let f(s) be the third derivative of -s**7/315 + s**6/120 + s**5/180 - s**4/24 + s**3/18 - 15*s**2. Let f(b) = 0. What is b?
-1, 1/2, 1
Factor 0*p - 2/3 + 0*p**3 - 2/3*p**4 + 4/3*p**2.
-2*(p - 1)**2*(p + 1)**2/3
Factor -2/3*o**4 + 2/3*o**3 + 0 + 2/3*o**2 - 2/3*o.
-2*o*(o - 1)**2*(o + 1)/3
Let b(c) be the second derivative of c**9/20160 + c**8/3840 + c**7/2016 + c**6/2880 + c**4/6 + 3*c. Let l(v) be the third derivative of b(v). Factor l(f).
f*(f + 1)**2*(3*f + 1)/4
Let n(y) be the first derivative of y**4/12 - y**3/6 + 2*y - 4. Let k(z) be the first derivative of n(z). Factor k(j).
j*(j - 1)
Let u be (-1)/3 + (-1 - 14/(-9)). Let c(y) be the first derivative of 2/3*y**2 - 2 + 0*y - u*y**3. Factor c(m).
-2*m*(m - 2)/3
Let p(h) be the third derivative of 0*h + 1/4*h**4 - 4*h**2 + 1/20*h**5 + 0 - 1/40*h**6 + 0*h**3. Find z such that p(z) = 0.
-1, 0, 2
Suppose 30 = -5*i + 5. Let f(a) = -a**3 - 4*a**2 + 3*a - 6. Let j be f(i). Determine u, given that 5*u**3 + 0*u**2 - 4*u**2 + j*u**4 + 2*u - 7*u**3 = 0.
-1, 0, 1/2, 1
Let r(i) be the first derivative of i**4 + 4*i**3 - 2*i**2 - 12*i - 39. Factor r(y).
4*(y - 1)*(y + 1)*(y + 3)
Let t(k) be the third derivative of k**8/10080 + k**7/1260 + k**5/60 + 3*k**2. Let q(s) be the third derivative of t(s). Suppose q(d) = 0. Calculate d.
-2, 0
Suppose -3*j - 93 = 618. Let z = j - -2135/9. Suppose -2/9*a + z*a**3 + 2/9 - 2/9*a**2 = 0. Calculate a.
-1, 1
Let b(c) be the third derivative of c**7/630 - c**6/120 + c**5/180 + c**4/24 - c**3/9 + 5*c**2. Determine a so that b(a) = 0.
-1, 1, 2
Let n(d) be the first derivative of -2/9*d - 1 - 2/27*d**3 - 2/9*d**2. Factor n(x).
-2*(x + 1)**2/9
Let m(l) = 6*l**4 - 2*l**3 + 4*l**2 + 2*l. Let v(y) = y**4 + y**2. Let r(d) = -m(d) + 5*v(d). Factor r(b).
-b*(b - 2)*(b - 1)*(b + 1)
Let n = 476 + -1071. Let t = n + 1801/3. Factor -686/3*b**5 - 136/3*b - t + 322/3*b**3 + 784/3*b**4 - 268/3*b**2.
-2*(b - 1)**2*(7*b + 2)**3/3
Factor -10*h**3 + 5*h**4 - 9*h**5 + 34*h**5 - 20*h**5.
5*h**3*(h - 1)*(h + 2)
Let i(l) be the second derivative of -l**8/26880 + l**6/2880 - l**4/12 - l. Let a(t) be the third derivative of i(t). Factor a(u).
-u*(u - 1)*(u + 1)/4
Let x be 12/(-18) - (-23)/3. Let s = x - 4. Factor 2*f**2 + s*f**4 - 2*f**4 - 4*f**3 + f**4.
2*f**2*(f - 1)**2
Let m = 2/31 - -48/217. Determine q so that -4/7*q + 2/7*q**2 + m = 0.
1
Let i(n) be the first derivative of -2/21*n**3 + 0*n + 1 + 1/7*n**2. Factor i(o).
-2*o*(o - 1)/7
Let y(v) be the third derivative of -1/6*v**4 + v**2 + 0*v + 1/30*v**5 + 0 + 1/3*v**3. Determine j so that y(j) = 0.
1
Let h(c) = c**2 - 9*c + 11. Let x = -27 - -35. Let a be h(x). Determine i, given that -1/2*i**2 - 1/2*i + 1/2*i**a + 0 + 1/2*i**4 = 0.
-1, 0, 1
Let f(i) be the first derivative of 1/25*i**5 + 1/5*i**2 - 1/10*i**4 - 3 - 1/5*i + 0*i**3. Suppose f(h) = 0. What is h?
-1, 1
Let f(q) be the first derivative of q**4/60 + 2*q**3/15 + 2*q**2/5 - 2*q - 2. Let t(w) be the first derivative of f(w). Find r, given that t(r) = 0.
-2
Let m(r) be the second derivative of -r**4/24 - 5*r**3/12 - r**2 - 29*r. Find n such that m(n) = 0.
-4, -1
Let a be -1*2/1 - (0 - 8). Let l(i) be the first derivative of -3/7*i**4 + 1 - 1/21*i**a + 0*i + 8/21*i**3 + 8/35*i**5 - 1/7*i**2. Find w, given that l(w) = 0.
0, 1
Let b(r) be the first derivative of -r**4/28 + 8*r**3/21 - 5*r**2/14 - 50*r/7 - 16. What is k in b(k) = 0?
-2, 5
Let a(b) be the second derivative of -4/5*b**2 + 0 - 4*b - 7/10*b**4 + 49/50*b**5 - 8/5*b**3. Factor a(h).
2*(h - 1)*(7*h + 2)**2/5
Let s(b) be the first derivative of -b**4/18 + 4*b**3/27 - b**2/9 - 3. Factor s(g).
-2*g*(g - 1)**2/9
Let k(s) = -12*s**2 - 11*s + 17. Let a(i) = -3*i**2 - 3*i + 4. Let p(d) = -9*a(d) + 2*k(d). Solve p(n) = 0.
-2, 1/3
Let z(k) be the third derivative of k**7/210 + k**6/30 + k**5/10 + k**4/6 + k**3/6 - 6*k**2. Factor z(d).
(d + 1)**4
Let r(t) = t**5 - t**4 - t + 1. Let b(q) = 26*q**5 - 20*q**4 - 27*q**3 + 15*q**2 + q + 5. Let n = -10 - -11. Let c(y) = n*b(y) - 5*r(y). What is m in c(m) = 0?
-1, -2/7, 0, 1
Factor -2 + 24*g + 18 + 17*g**2 + 2*g**3 - 5*g**2.
2*(g + 2)**3
Suppose -2*z - 8 = 0, 2*o - o - 4*z = 22. Factor 6 + 3/2*c**2 - o*c.
3*(c - 2)**2/2
Let c be 1 - 1/(5/(-3)). Let r = -11/47 - -619/235. Factor 24/5*i + 2/5*i**4 + 26/5*i**2 + r*i**3 + c.
2*(i + 1)**2*(i + 2)**2/5
Suppose -4*o - 32 = -12. Let t = o + 8. Factor -m**2 + 5*m**2 - m**t - m + 0*m - 2*m**2.
-m*(m - 1)**2
Let d be 5/(30/33) + -4. Solve 5/4*l**2 + d*l + 1/4 = 0 for l.
-1, -1/5
Let k be -2 - (-1 + ((-6)/(-3) - 7)). Let g(d) be the third derivative of -1/9*d**3 - 1/180*d**6 - 2*d**2 + 1/90*d**5 + 1/36*d**k + 0*d + 0. Factor g(s).
-2*(s - 1)**2*(s + 1)/3
Let w(z) be the second derivative of 49*z**6/30 + 28*z**5/15 + 2*z**4/3 - 3*z**2 + 5*z. Let h(o) be the first derivative of w(o). Find x, given that h(x) = 0.
-2/7, 0
Let j(d) = 2*d**2 - 7*d - 17. Let k(y) = -3*y**2 + 6*y + 18. Let a(b) = 6*j(b) + 5*k(b). Solve a(r) = 0 for r.
-2
Let c(t)