5 + 6*i + 1560*i**5 + 20*i**4 + 100*i**2 = 0.
-1, 0, 7
Let j(r) = -6*r**5 + 15*r**4 - 21*r**3 + 27*r - 15. Let u(c) = -c**5 + c**2 + c - 1. Let y(t) = j(t) - 3*u(t). Determine z, given that y(z) = 0.
-1, 1, 2
Let f(g) be the first derivative of 0*g - 1 + 3/8*g**4 + g**3 + 3/4*g**2. Determine h so that f(h) = 0.
-1, 0
Let i(j) be the first derivative of 0*j**2 + 0*j + 0*j**5 + 5 - 1/33*j**6 + 0*j**3 + 1/22*j**4. Suppose i(v) = 0. What is v?
-1, 0, 1
Suppose -5*f = 4*h - 121, 2*f + 27 = -3*h + 81. Suppose -4*g = 3*b - 16, -4*b + 1 = -5*g + f. Find r, given that 0*r - 1/3*r**2 - 1/3*r**g + 0 + 2/3*r**3 = 0.
0, 1
Let y(s) be the first derivative of s**4 + 5*s**3 - 1 + 3*s**3 - 4*s**3 + 4*s**2. Factor y(k).
4*k*(k + 1)*(k + 2)
Let i(t) be the first derivative of t**5/25 - t**3/5 + t**2/5 + 4. Solve i(b) = 0 for b.
-2, 0, 1
Let a = -120 + 120. Let x(f) be the first derivative of 3 + a*f**2 - 1/15*f**3 + 1/5*f. Suppose x(o) = 0. What is o?
-1, 1
Let u = -21 - -21. Let w(n) be the second derivative of -n - 1/50*n**5 + u*n**2 + 0*n**4 + 0*n**3 + 0 - 2/75*n**6 - 1/105*n**7. Determine a so that w(a) = 0.
-1, 0
Let k be -6*(-4)/(-16) - 39/(-18). Solve -4/3*c + 2*c**2 - k*c**3 + 0 = 0.
0, 1, 2
Let a(x) be the third derivative of 0*x**3 + 0 + 3/175*x**7 + 0*x**4 + 0*x - 3/50*x**6 + 2/25*x**5 - 2*x**2 - 1/560*x**8. Factor a(h).
-3*h**2*(h - 2)**3/5
Factor 9/7*f**2 + 12/7*f - 12/7.
3*(f + 2)*(3*f - 2)/7
Let q be (-1 - -1)*((-3 - 0) + 2). Let g be 38/14 - (-4)/14. Find o, given that 0 - o**4 + q*o**2 + 0 + 3*o**3 + o - g*o**2 = 0.
0, 1
Let x = 554 + -552. Let 5/4*q**4 + 0 + q**5 - 1/4*q - 5/4*q**x - 3/4*q**3 = 0. Calculate q.
-1, -1/4, 0, 1
Let z(b) = b**2. Let j = 4 + -7. Let h(o) = -o**3 + 3*o**2 + 2*o. Let m(p) = j*h(p) + 6*z(p). Let m(n) = 0. What is n?
-1, 0, 2
Suppose 4*o + 2 = -4*k - 2, -3*o - 7 = k. Factor -a**k - 2 + 2 + 3*a**2.
2*a**2
Let k be 2*((-6)/(-2) - 2). Let u be (3 - k) + -2 - -3. Factor -2/3 + 3*m - 7/3*m**u.
-(m - 1)*(7*m - 2)/3
Let z(v) be the first derivative of -4*v**5/5 - 5*v**4 - 12*v**3 - 14*v**2 - 8*v + 2. Factor z(r).
-4*(r + 1)**3*(r + 2)
Let w be (-4)/(-30) - 16/(-60). Factor 1/5 + w*d + 1/5*d**2.
(d + 1)**2/5
Let a be 9*(30/9 - 3). Let z be a + (-44)/12 + 1. Factor -z*u**2 + 0 + 0*u.
-u**2/3
Suppose 8*h - 34 = -9*h. Let v = 1/24 + 5/8. Factor -2/3*b**4 + 0*b + v*b**h + 0*b**3 + 0.
-2*b**2*(b - 1)*(b + 1)/3
Let d(n) be the third derivative of -n**7/735 + n**6/84 - 3*n**5/70 + n**4/12 - 2*n**3/21 + 21*n**2. Factor d(a).
-2*(a - 2)*(a - 1)**3/7
Let p(c) be the second derivative of -7*c**6/10 - 12*c**5/5 - 11*c**4/4 - c**3 - 7*c. Solve p(g) = 0 for g.
-1, -2/7, 0
Let s(l) be the second derivative of 3/20*l**5 + 0*l**2 + 2*l + 0*l**3 + 0 - 1/2*l**4. Factor s(n).
3*n**2*(n - 2)
Suppose a - 31 = -28. Let j(i) be the first derivative of 11/2*i**4 + 1 + 3*i**6 + 0*i + 36/5*i**5 + 4/3*i**a + 0*i**2. Determine g, given that j(g) = 0.
-1, -2/3, -1/3, 0
Let w(a) = -2*a - 7. Let r(b) = b**2 - 1. Let v(m) = 28*r(m) - 4*w(m). Factor v(i).
4*i*(7*i + 2)
Let z(i) = -i + 1. Suppose 1 = -l - 0*l. Let j(q) = -7*q**2 - 13*q + 4. Let p(o) = o**2 + o. Let g(f) = j(f) + 5*p(f). Let x(u) = l*g(u) + 4*z(u). Factor x(k).
2*k*(k + 2)
Let j(k) be the second derivative of k**7/1260 + k**6/120 + k**5/30 + k**4/12 + 2*k. Let a(g) be the third derivative of j(g). Suppose a(v) = 0. Calculate v.
-2, -1
Suppose 3 = l + r, -4*l + 5*r = -l + 23. Let z(c) = 5*c**2 - 8*c - 1. Let y(g) = g**2 - g. Let u(a) = l*z(a) + 6*y(a). Factor u(s).
(s + 1)**2
Let q(p) be the third derivative of p**6/42 - 13*p**5/105 + 2*p**4/21 + 8*p**3/21 + 5*p**2 - 7*p. Factor q(h).
4*(h - 2)*(h - 1)*(5*h + 2)/7
Let g(f) = -f**5 + f**3 + f**2 + f + 1. Let q(b) = 4*b**5 - 10*b**4 - 4*b**3 + 11*b**2 + b + 1. Let m(t) = g(t) - q(t). Determine c, given that m(c) = 0.
-1, 0, 1, 2
Let f(u) be the third derivative of 0*u - 1/80*u**5 - 1/2*u**3 + 1/8*u**4 + 3*u**2 + 0. Find c such that f(c) = 0.
2
Let i be (-2)/4 + (-11)/(-2). Factor i*m**2 - 2*m**3 - m + 2 - 1 - 3*m.
-(m - 1)**2*(2*m - 1)
Let t(j) = -j + 1. Let a be t(-2). Factor 12*k**2 + 0*k**a - k**3 + 6 + 0*k**2 + 4*k**3 + 15*k.
3*(k + 1)**2*(k + 2)
Let f(w) = 0 - 38*w + 37*w + 2 + 7. Let h be f(7). Factor 3*g - g**3 + g**3 - g**3 - h.
-(g - 1)**2*(g + 2)
Determine m so that -27/5*m**3 - 6/5 - 39/5*m - 72/5*m**2 = 0.
-2, -1/3
Let j(g) = -6*g**3 - 14*g**2 - 12*g - 2. Let n(z) = -25*z**3 - 57*z**2 - 48*z - 7. Let d(f) = 9*j(f) - 2*n(f). Suppose d(k) = 0. What is k?
-1
Let r be (-120)/9*3/(-2). Let v be (2/7)/(r/35). Determine h so that 0 + 0*h + v*h**2 = 0.
0
Let f(n) be the first derivative of -n**6/900 - n**5/150 - 2*n**3 - 9. Let o(g) be the third derivative of f(g). Find m such that o(m) = 0.
-2, 0
Let w(k) = -3*k**2 - 3*k - 9. Let z(a) = -a**2 - 2*a - 5. Let g(h) = -4*w(h) + 7*z(h). Let d be g(1). Factor -b - b**3 + b**d + b.
b**3*(b - 1)
Let w(u) be the first derivative of u**6/10 - 9*u**5/20 + u**4/4 + 3*u**3/2 - 3*u**2 + 7*u - 2. Let t(o) be the first derivative of w(o). Solve t(c) = 0.
-1, 1, 2
Determine p, given that -3*p**5 - 17 + p**3 + 2*p**4 + 30 - 13 = 0.
-1/3, 0, 1
Let n(x) be the third derivative of 1/12*x**3 + 0 + 0*x**4 - 1/120*x**5 - x**2 + 0*x. Determine s, given that n(s) = 0.
-1, 1
Suppose 3*q = 5 + 1. Let k be q/6 - (-6)/18. Solve k*d + 0 - 2/3*d**2 - 2/3*d**3 + 2/3*d**4 = 0 for d.
-1, 0, 1
Factor -4*l**3 + 2 + 11*l**2 - 2*l**5 - 11*l**2 - 4*l**2 + 6*l**4 - 4 + 6*l.
-2*(l - 1)**4*(l + 1)
Factor -1/2*z**4 + 1/2*z**5 + 0*z + 0*z**3 + 0 + 0*z**2.
z**4*(z - 1)/2
Suppose 2 = -8*c + 2. What is x in 2/7*x**2 + c*x - 2/7 = 0?
-1, 1
Let n(x) be the first derivative of -5*x**4/14 + 4*x**3/21 + 6. Solve n(p) = 0.
0, 2/5
Let s = 4 - 1. Let i(q) = q - 1. Let f be i(s). Determine o, given that 2*o**f + 8*o + 0*o - 2*o + 4 = 0.
-2, -1
Let w(i) be the second derivative of 0 + 0*i**3 + 1/3*i**4 - 4*i + 1/10*i**5 + 0*i**2 - 1/15*i**6. Determine n so that w(n) = 0.
-1, 0, 2
Let m(h) = -3*h**3 - 3*h**2 - h + 1. Let p(g) = -g**3 - g**2 + g - 1. Let b(z) = -m(z) - p(z). Factor b(d).
4*d**2*(d + 1)
Let a(i) be the third derivative of i**6/480 - i**4/24 + 12*i**2. Suppose a(c) = 0. Calculate c.
-2, 0, 2
Let n(z) be the third derivative of -z**9/272160 + z**8/30240 - z**7/7560 + z**6/3240 - z**5/30 - z**2. Let s(b) be the third derivative of n(b). Factor s(o).
-2*(o - 1)**3/9
Determine h, given that 2/5*h**2 - 2/15*h**3 + 6/5*h + 2/3 = 0.
-1, 5
Let z(y) be the first derivative of y**5/30 - y**4/12 + y**2 + 2. Let m(f) be the second derivative of z(f). Suppose m(n) = 0. What is n?
0, 1
Let -1/5*z - 4/5 + 4/5*z**2 + 1/5*z**3 = 0. Calculate z.
-4, -1, 1
Let n = -10 - -4. Let u be 16/n*(-3)/2. Solve -4*w**3 + 2*w**4 + 2*w**2 + 2*w - 4*w**u + 2*w**3 = 0 for w.
-1, 0, 1
Let o(b) = 4*b**2 + 10*b + 6. Let c(l) = -l**2 - 3*l - 2. Let w = -27 - -13. Let u(s) = w*c(s) - 4*o(s). Find r such that u(r) = 0.
-1, 2
Let q(u) be the first derivative of -u**8/6720 - u**7/3360 + u**6/480 + u**5/96 + u**4/48 + u**3/3 + 3. Let d(g) be the third derivative of q(g). Factor d(t).
-(t - 2)*(t + 1)**3/4
Suppose 4*y = 7 + 9. Let y + i - 5*i - 4*i**4 - 4*i + 8*i**3 = 0. Calculate i.
-1, 1
Let r be -3*-4*4/120. Let u(g) be the first derivative of -r*g + 0*g**2 + 2/15*g**3 + 1. Factor u(p).
2*(p - 1)*(p + 1)/5
Let a(w) be the first derivative of -1 + w + 1/10*w**5 + 0*w**3 + 0*w**2 + 0*w**4. Let r(c) be the first derivative of a(c). Suppose r(s) = 0. What is s?
0
Factor 3*h**3 + 0 + 0*h**2 + 0*h + 3/4*h**5 - 3*h**4.
3*h**3*(h - 2)**2/4
Let u(c) = 5*c**5 + 18*c**4 + 3*c**3 + 8*c**2 + 9. Let k(q) = q**4 + q**2 + 1. Let y(p) = 18*k(p) - 2*u(p). Determine f, given that y(f) = 0.
-1, 0, 1/5
Let b = 100 + -60. Factor g**3 + 17*g - b*g + 13*g + 11*g + 2*g**2.
g*(g + 1)**2
Factor 2 + 4/3*q - 2/3*q**2.
-2*(q - 3)*(q + 1)/3
Let a(k) be the first derivative of k**6/6 + 6*k**5 + 90*k**4 + 720*k**3 + 3240*k**2 + 7776*k + 31. Suppose a(q) = 0. What is q?
-6
Let s(d) be the second derivative of d**6/15 - d**4/6 + 5*d. Factor s(o).
2*o**2*(o - 1)*(o + 1)
Let y(d) = -3*d - 19*d**2 + 22 - 6 - 4*d**4 - 13*d - 2*d**2 + 16*d**3. Let u(v) = v**4 - 4*v**3 + 5*v**2 + 4*v - 4. Let k(x) = 18*u(x) + 4*y(x). Factor k(q).
2*(q - 2)**2*(q - 1)*(q + 1)
Let z = 1 - -1. Suppose -1 = -a + z. Solve s**2 - a*s**