mine g, given that -5*g**3 + 0 - 4/3*g**5 - 13/3*g**4 - 1/3*g - 7/3*g**2 = 0.
-1, -1/4, 0
Suppose 2/19*i**2 - 2/19 + 0*i = 0. What is i?
-1, 1
Let p = 27/5 + -71/15. Factor p + 2/3*m - 2/3*m**2 - 2/3*m**3.
-2*(m - 1)*(m + 1)**2/3
Let n(k) be the third derivative of -k**7/2520 + k**6/360 - k**5/120 + k**4/24 + 2*k**2. Let l(x) be the second derivative of n(x). Factor l(y).
-(y - 1)**2
Let 3/7*j**2 + 3/7*j - 6/7 = 0. Calculate j.
-2, 1
Suppose -4*z + 3*g = -0 - 9, -z = -4*g - 12. Determine m so that 2/7*m**2 + z*m + 0 = 0.
0
Let i(a) be the third derivative of 0 + 1/12*a**3 - 7/96*a**4 + 1/48*a**5 + 0*a + 3*a**2. Suppose i(f) = 0. Calculate f.
2/5, 1
Let n(g) be the first derivative of -g**4/16 - g**3/12 + 3. What is i in n(i) = 0?
-1, 0
Let x(s) be the second derivative of 0*s**2 + s + 0 - 1/6*s**3 + 1/12*s**4. Factor x(z).
z*(z - 1)
Let y(x) be the third derivative of -x**7/945 + x**5/90 - x**4/54 + 15*x**2. Factor y(w).
-2*w*(w - 1)**2*(w + 2)/9
Let g(v) be the third derivative of -v**9/20160 + v**7/560 + v**6/120 + v**5/30 + 9*v**2. Let o(z) be the third derivative of g(z). Find u such that o(u) = 0.
-1, 2
Let r(t) = -2*t - 12. Let c be r(-4). Let g be ((-6)/8 - c) + -3. Factor g*h**2 + 0 + 1/4*h.
h*(h + 1)/4
Let p(d) be the first derivative of -4*d**5/5 - 5*d**4/3 + 16*d**3/9 + 8*d**2/3 + 6. Let p(f) = 0. Calculate f.
-2, -2/3, 0, 1
Let v be ((27/4)/9)/((-9)/(-6)). Solve -v*q**2 - 1/2*q**4 + 0*q + 0 + q**3 = 0.
0, 1
Let x(l) = 2*l + 1. Let d be x(5). Determine w, given that 7*w**5 - 21*w - 3 - 32*w**2 + 24*w**4 - 55*w**5 + d*w**2 + 69*w**3 = 0.
-1, -1/4, 1
Let z(g) be the first derivative of -g**4/8 - 11*g**3/6 - 35*g**2/4 - 25*g/2 - 13. Factor z(b).
-(b + 1)*(b + 5)**2/2
Let i = -15 - -18. Factor 17*b**i - 15*b**3 - 2*b**2 + b**4 + b**4 - 2*b**5.
-2*b**2*(b - 1)**2*(b + 1)
Let h = 2 + 1. Suppose -3*s + h + 6 = 0. Factor 4/7*p**s - 2/7 - 2/7*p**4 - 2/7*p**5 - 2/7*p + 4/7*p**2.
-2*(p - 1)**2*(p + 1)**3/7
Let i(n) be the second derivative of 3*n**7/28 - n**6/30 - 9*n**5/40 + n**4/12 + 16*n. What is w in i(w) = 0?
-1, 0, 2/9, 1
Let d(h) be the second derivative of 2*h**5/105 - h**4/21 + h**3/21 + 3*h**2/2 + h. Let m(n) be the first derivative of d(n). Factor m(x).
2*(2*x - 1)**2/7
Let -4348*u**2 + 15*u**3 + 0*u**4 - 24*u + 4354*u**2 + 3*u**4 = 0. Calculate u.
-4, -2, 0, 1
Suppose -3*p - p + 12 = 0. Solve -36/7*w**2 - 40/7*w - 2/7*w**4 - 16/7 - 2*w**p = 0 for w.
-2, -1
Let n(v) be the first derivative of 5*v**3/21 - 3*v**2/14 - 2*v/7 - 12. What is b in n(b) = 0?
-2/5, 1
Let w(s) be the first derivative of 4*s**3/3 + s**2 + 3*s + 2. Let d be 1*3 - 4/(-2). Let l(b) = -b**2 - b - 1. Let x(q) = d*l(q) + w(q). Factor x(v).
-(v + 1)*(v + 2)
Let v(u) = 29*u - 114. Let h be v(4). Determine l so that 3/2*l + 3/4*l**h + 0 = 0.
-2, 0
Factor 2/3 - 2/3*u - 2/3*u**5 + 4/3*u**3 - 4/3*u**2 + 2/3*u**4.
-2*(u - 1)**3*(u + 1)**2/3
Let r = 17 + -13. Let -14*k - 7 + 0*k**2 + 2*k**3 + r*k + 1 - 2*k**2 = 0. What is k?
-1, 3
Let g(f) be the first derivative of f**9/756 + f**8/105 + f**7/42 + f**6/45 + 2*f**3 + 3. Let l(v) be the third derivative of g(v). Factor l(k).
4*k**2*(k + 1)**2*(k + 2)
Let s(r) be the third derivative of r**8/84 + 2*r**7/105 - r**6/6 - r**5/3 + 2*r**4/3 + 8*r**3/3 + 2*r**2. Find v, given that s(v) = 0.
-2, -1, 1, 2
Let i(j) be the first derivative of 18*j**5/25 - 3*j**4/2 + 14*j**3/15 - j**2/5 + 1. Find l, given that i(l) = 0.
0, 1/3, 1
Let j be (-35)/(-170)*30/28. Let s = 1/34 + j. Determine w so that 0 + 0*w + s*w**2 = 0.
0
Let h(s) be the first derivative of 0*s**2 - 2 + 1/12*s**4 + 0*s**3 + 0*s + 0*s**5 - 1/18*s**6. Solve h(i) = 0.
-1, 0, 1
Let m(n) be the second derivative of n**7/210 + n**6/30 + n**5/10 + n**4/6 + n**3/6 + 5*n**2/2 + n. Let v(x) be the first derivative of m(x). Factor v(g).
(g + 1)**4
Factor 16/3*u - 4/3*u**3 + 8/3*u**2 + 0 - 2/3*u**4.
-2*u*(u - 2)*(u + 2)**2/3
Suppose i + 0 - 2 = 0. Let u(s) be the second derivative of 0*s**2 - 1/30*s**4 + 0 - i*s + 1/30*s**3 + 1/100*s**5. Factor u(k).
k*(k - 1)**2/5
Let z(c) be the first derivative of -3*c**5/25 - 3*c**4/20 + 3*c**3/5 + 3*c**2/2 + 6*c/5 - 3. Factor z(b).
-3*(b - 2)*(b + 1)**3/5
Let q(v) be the second derivative of v**4/4 - 4*v**3 + 24*v**2 - 4*v. Factor q(p).
3*(p - 4)**2
Let 0 + 5/7*a**4 + 3/7*a**3 - 9/7*a**2 + 0*a + 1/7*a**5 = 0. What is a?
-3, 0, 1
Let d(u) be the second derivative of -u**5/70 - 2*u**4/21 - 4*u**3/21 + 13*u. Let d(i) = 0. Calculate i.
-2, 0
Let i be 0/1*(-1 - -2). Let n(q) be the first derivative of 2 + 0*q**3 + 0*q**2 + 1/4*q**4 + i*q. What is z in n(z) = 0?
0
Let p(o) = o**5 - o**3 - o**2 + 1. Let t(x) = 20*x**5 - 8*x**4 - 16*x**3 - 8*x**2 - 4*x + 16. Let n(k) = 16*p(k) - t(k). What is a in n(a) = 0?
-1, 0, 1
Suppose -2*l = -5*i + 17, -4*i - 9 = -2*l - 23. Determine x, given that -26/9*x**2 + 14/3*x**i - 2*x**4 + 4/9 - 2/9*x = 0.
-1/3, 2/3, 1
Factor 10/9*q + 2*q**3 + 32/9*q**2 - 4/9.
2*(q + 1)**2*(9*q - 2)/9
Solve -4*v**2 + 0 + 0 + 5*v**2 = 0 for v.
0
Let m(f) be the first derivative of f**6/60 - f**4/4 + 2*f**3/3 + 2*f**2 + 5. Let c(r) be the second derivative of m(r). Factor c(i).
2*(i - 1)**2*(i + 2)
Suppose -24 = -5*d + 1. Suppose -3*r = d*g + 6, -4 = 3*g + 5*r + 6. Factor o**4 + 2*o + 6*o**2 + 3*o**3 + 2*o + 1 + g*o**3 + o**3.
(o + 1)**4
Let o be 76/(-57)*(-6)/4. Determine z, given that 1/5*z**o + 1/5 - 2/5*z = 0.
1
Let b = -5/112 + 3/16. Factor -b*x**5 + 2/7*x**3 - 1/7 - 1/7*x + 2/7*x**2 - 1/7*x**4.
-(x - 1)**2*(x + 1)**3/7
Let j(n) be the second derivative of n**3 + 0 - 1/4*n**4 + 9/2*n**2 - 7*n. Factor j(o).
-3*(o - 3)*(o + 1)
Let s = 3/71 + 59/284. Solve s*q**4 + 1/4*q**3 + 0*q + 0 - 1/2*q**2 = 0 for q.
-2, 0, 1
Let o(i) be the first derivative of 3*i**4/32 - 5*i**3/8 + 3*i**2/4 - 12. Let o(v) = 0. Calculate v.
0, 1, 4
Let x(p) = 2*p**2. Let o(y) = 4*y**2. Let j(m) = -3*o(m) + 7*x(m). Let c(g) = -g**2. Let q(b) = 11*c(b) + 6*j(b). Factor q(s).
s**2
Let a(y) be the second derivative of 21/20*y**5 - 7*y + 10*y**3 + 6*y**2 + 0 + 23/4*y**4. Factor a(f).
3*(f + 1)*(f + 2)*(7*f + 2)
Let j(o) be the second derivative of o**7/11340 - o**5/540 - o**4/6 - 2*o. Let b(x) be the third derivative of j(x). Factor b(d).
2*(d - 1)*(d + 1)/9
Let o = -1 + 3. What is u in 2*u**4 + 5*u**4 + 7*u**o + u + 15*u**3 + 2*u**4 = 0?
-1, -1/3, 0
Factor 143*d**2 - 2 - 129*d**2 + 6*d**4 - 6 - 20*d**3 + 5*d + 3*d.
2*(d - 2)*(d - 1)**2*(3*d + 2)
Factor -12*x**4 - 2*x**3 - 14*x**4 + 28*x**4 - x**5 - 5*x**4.
-x**3*(x + 1)*(x + 2)
Let t(d) = d + 16. Let q be t(-11). Let m(c) be the second derivative of 1/21*c**3 - 1/105*c**6 + 0 - c + 3/70*c**q - 1/14*c**4 + 0*c**2. Factor m(n).
-2*n*(n - 1)**3/7
Let m(t) = t**2 + 3*t + 3. Let u be m(3). Let v(l) = 4*l**2 - 7*l + 7. Let b(p) = p**2 - 2*p + 2. Let d(y) = u*b(y) - 6*v(y). Factor d(n).
-3*n**2
Let s(p) be the second derivative of p**5/40 + p**4/24 - p**3/6 - 6*p. Find c such that s(c) = 0.
-2, 0, 1
Let i = 1 + -17. Let a = i + 33/2. Factor -a*u**5 + 1/2*u**4 + 1/2*u**3 + 0 - 1/2*u**2 + 0*u.
-u**2*(u - 1)**2*(u + 1)/2
Let w be 0 + 9 + -1 + 0. Let k(x) = 9*x**3 - 20*x**2 + 11*x. Let u(o) = 6*o**3 - 13*o**2 + 7*o. Let v(g) = w*u(g) - 5*k(g). Factor v(n).
n*(n - 1)*(3*n - 1)
Let g = -28175/48 - -587. Let q(c) be the second derivative of 0*c**2 - g*c**4 + 0 - 1/24*c**3 + c. Factor q(v).
-v*(v + 1)/4
Let y = -2101/5 + 421. Let 0 + 0*z + 4/5*z**3 + 4/5*z**4 - 4/5*z**2 - y*z**5 = 0. What is z?
-1, 0, 1
Suppose -t - 3*t = 8. Let y = -2 - t. Solve 2*q**3 - q**5 - q**4 - q + 0*q**3 - 1 + 2*q**2 + y*q**2 = 0.
-1, 1
Suppose z + 8 = -z, -r - 15 = 5*z. Suppose r*m = -4*n + 6 + 14, -2*n + 10 = 3*m. Suppose 3/5*u**2 + m + 3/5*u**3 + 1/5*u + 1/5*u**4 = 0. What is u?
-1, 0
Let y(k) be the first derivative of -k**6/3 - k**5/2 + 3*k**4/8 + 5*k**3/6 + k**2/4 - 4. What is q in y(q) = 0?
-1, -1/4, 0, 1
Let i be ((-8)/(-18))/((-7)/(84/(-16))). Factor 4/3*l**2 + 5/3*l + 2/3 + i*l**3.
(l + 1)**2*(l + 2)/3
Factor 10*m - 3*m**2 - 10*m - 16 + 12*m + 7*m**2.
4*(m - 1)*(m + 4)
Let g(q) = -25*q**4 - 25*q**3 - 20*q**2 - 20. Let d(s) = s**4 + s**3 + s**2 + 1. Let k(r) = 20*d(r) + g(r). What is h in k(h) = 0?
-1, 0
Let g(o) = o**3. Let s(u) = -12*u**3 - u**2. Let n(t) = -44*g(t) - 4*s(t). Find r such that n(r) = 0.
-1, 0
Suppose 2*c = 9 - 99. Let m be 12/(-20