2/13*v**4 + 110/13*v - 14/13*v**3 - 6/13*v**2 = 0.
-2, -1, 5
Let j(d) be the first derivative of -d**8/240 - d**7/420 + 7*d**6/360 + d**5/60 + 4*d**3/3 + 6. Let x(m) be the third derivative of j(m). Factor x(q).
-q*(q - 1)*(q + 1)*(7*q + 2)
Let d(n) be the first derivative of n**8/336 + n**7/70 - n**5/15 + 2*n**2 - 1. Let s(b) be the second derivative of d(b). Factor s(f).
f**2*(f - 1)*(f + 2)**2
Factor -30*r**3 - 48*r + 22*r + 4 - 19*r**2 + 71*r**2.
-2*(r - 1)*(3*r - 1)*(5*r - 2)
Let x(f) be the first derivative of -f**2 + 2 + 0*f - 1/3*f**3. Factor x(i).
-i*(i + 2)
Let d(n) = 5*n + 3 - 7*n**3 - 3 + 0*n**2 + 6*n**2 + 6*n**4. Let r(h) = -h**4 + h**3 - h**2 - h. Let g(w) = d(w) + 5*r(w). Suppose g(b) = 0. Calculate b.
0, 1
Let d(p) = -p**3 + 1. Let h(c) = 3*c**3 - 5*c**2 - 7*c - 7. Let z(k) = 4*d(k) + h(k). Factor z(j).
-(j + 1)**2*(j + 3)
Let w(k) = -k**3. Let q(i) = -5*i**2 - i. Let p be q(-1). Let u(o) = -3*o**4 - o**3 + 6*o**2. Let f(z) = p*w(z) + u(z). Suppose f(b) = 0. What is b?
-1, 0, 2
Let r(l) be the second derivative of 1/15*l**6 + 0*l**4 + 0*l**2 + l + 0*l**3 + 1/20*l**5 - 1/14*l**7 + 0. Factor r(s).
-s**3*(s - 1)*(3*s + 1)
Suppose -13*h + 15*h = 10. Factor -1/5*t**h + 1/5*t**4 - 1/5*t - 2/5*t**2 + 1/5 + 2/5*t**3.
-(t - 1)**3*(t + 1)**2/5
Suppose 16/3*y**2 + 2/3*y**4 + 0 - 32/3*y + 14/3*y**3 = 0. What is y?
-4, 0, 1
Let i(p) be the first derivative of -p**3 + p**2/2 - 9. Suppose i(t) = 0. Calculate t.
0, 1/3
Suppose -13*l + 12 = -9*l. Let -4*j**l + 11*j**4 - 2*j**4 - 5*j**3 - 3*j**5 + 3*j**2 = 0. What is j?
0, 1
Suppose -3*k + 2 = -2*k. Let -12*r + 16*r**2 - 3*r**k + 2*r**2 - 3 = 0. What is r?
-1/5, 1
Let i(o) be the third derivative of -o**7/840 - o**6/96 - o**5/30 - o**4/24 - 3*o**2. Factor i(s).
-s*(s + 1)*(s + 2)**2/4
Let r(t) = 2*t**4 + 14*t**3 - 6*t**2 + 10*t + 16. Let f(l) = l**3 + l + 1. Let d(y) = -12*f(y) + r(y). Let d(x) = 0. What is x?
-2, -1, 1
Factor -40*a**2 - 15*a - 2*a - 5*a**3 - 30 - 64*a + 16*a.
-5*(a + 1)**2*(a + 6)
Let v be 0 - -2 - 128382/(-660). Let b = v - 1305/22. Find i such that 98/5*i**3 + 84*i**2 + 152/5*i + 16/5 - b*i**4 = 0.
-2/7, 1
Suppose -i + 3*m = -13, 4*m = -2*i + 1 - 5. Let g(d) be the first derivative of -10/33*d**3 + i - 8/11*d + 8/11*d**2 + 1/22*d**4. Factor g(r).
2*(r - 2)**2*(r - 1)/11
Let q be -4*2/(-12)*3. Factor q*r + 3*r**2 - r**2 - 3*r - 3*r.
2*r*(r - 2)
Let r(o) be the third derivative of -o**6/96 - o**5/120 + 5*o**4/96 + o**3/12 - 2*o**2. What is p in r(p) = 0?
-1, -2/5, 1
Let a(n) be the first derivative of -n**3/6 - n**2/2 - n/2 + 5. Solve a(u) = 0 for u.
-1
Suppose -3*u + 0*s = -s + 1, -4*s + 19 = 3*u. Suppose 0 = 4*c + u - 13. Find b, given that -8*b + b**c + 1 - b**2 + 0*b**2 + 7*b = 0.
-1, 1
Let j(r) be the second derivative of -r**4/48 - 3*r**3/4 - 81*r**2/8 + 28*r. Factor j(q).
-(q + 9)**2/4
Determine z so that -34*z**2 + 34*z**2 - 15*z**4 + 3*z**3 = 0.
0, 1/5
Factor -8*n**2 + 36*n**3 - 21 - 22 + 70 - 36*n - 19.
4*(n - 1)*(n + 1)*(9*n - 2)
Determine t, given that -3*t**4 + 12*t**3 - 23*t**2 + 10 - 12*t - 1 + 17*t**2 = 0.
-1, 1, 3
Suppose 2*z - 12 = 4*z. Let h(s) = -s**2 - 2. Let v(a) = 4*a**2 + 7. Let j(r) = z*v(r) - 22*h(r). Find t such that j(t) = 0.
-1, 1
Let d(p) be the second derivative of -3*p**5/100 + p**4/20 + p**3/10 - 3*p**2/10 + 4*p. Suppose d(u) = 0. Calculate u.
-1, 1
Solve 3*y**4 + 40*y**3 + 6*y**2 - 27*y**3 - 22*y**3 = 0.
0, 1, 2
Find i such that 2*i**3 + 2*i**5 + 2*i**3 - 4*i**3 - 4*i**3 + 2*i**4 = 0.
-2, 0, 1
Let i(n) = -2*n**2 + 2 + 4*n**3 - 2*n**3 + 3*n**2 - 3*n. Let j be i(1). Let -s**4 + 0 + 0*s - 1/2*s**3 + 0*s**j - 1/2*s**5 = 0. Calculate s.
-1, 0
Let n = 5161/10160 - 28/127. Let c(x) be the third derivative of -n*x**5 - 1/6*x**3 - 7/24*x**4 + 0 - 3*x**2 - 7/48*x**6 + 0*x - 5/168*x**7. Solve c(j) = 0.
-1, -2/5
Let n(i) be the third derivative of i**8/2856 + 4*i**7/1785 + i**6/510 - 2*i**5/255 - i**4/68 + 18*i**2. Find l, given that n(l) = 0.
-3, -1, 0, 1
Let t = -2/89 + 188/445. Let 0*k**2 - t*k + 1/5 + 2/5*k**3 - 1/5*k**4 = 0. What is k?
-1, 1
Suppose -3*b + 0*b + 2*m = -17, -4*b - 2*m + 4 = 0. Suppose -12*c**3 + 12*c + 4*c**2 - b + 0 - c**2 = 0. What is c?
-1, 1/4, 1
Let t(v) = -v**2 + 2*v**2 + 2 + v + 0*v. Let k be t(0). What is d in -1/4*d**k - 1/4 - 1/2*d = 0?
-1
Let z(i) be the first derivative of -i**7/60 - i**6/90 + i**3/3 - 2. Let a(h) be the third derivative of z(h). Factor a(l).
-2*l**2*(7*l + 2)
Let m(z) be the third derivative of -2/75*z**6 - 8/525*z**7 + 1/140*z**8 + 1/30*z**4 - 4/15*z**3 + 4*z**2 + 0 + 2/25*z**5 + 0*z. Let m(g) = 0. Calculate g.
-1, -2/3, 1
Let v = -27 + 30. Let j(n) be the second derivative of 2/9*n**2 + 0 - v*n + 7/27*n**3 - 2/27*n**4. Factor j(t).
-2*(t - 2)*(4*t + 1)/9
Let i(x) = x**2 + 4*x + 3. Let m(c) = 2*c**2 + 6*c + 4. Let p(w) = 8*i(w) - 5*m(w). Find j, given that p(j) = 0.
-1, 2
Suppose 0 = 11*u - 13*u + 8. Suppose -u*s - 4*b = -8, -b = 5*s + 2*b - 10. Suppose -y**3 + 1/2*y**5 + y**4 - 7/2*y - 4*y**s - 1 = 0. Calculate y.
-1, 2
Let v(n) be the first derivative of n**5/10 + n**4/3 + n**3/3 + 3*n - 1. Let t(d) be the first derivative of v(d). Factor t(b).
2*b*(b + 1)**2
Let r(w) be the first derivative of -1/15*w**5 - 1/3*w**2 + 1/3*w - 2 + 0*w**3 + 1/6*w**4. Let r(s) = 0. Calculate s.
-1, 1
Let p = -35 + 37. Let d(o) be the first derivative of -1 + 1/3*o**p - 4/3*o + 2/9*o**3. Factor d(z).
2*(z - 1)*(z + 2)/3
Let b be (-1)/2*(-12)/9. Factor 2/3*r**2 + 2/3*r - 2/3 - b*r**3.
-2*(r - 1)**2*(r + 1)/3
Let s be (-2)/(-8) - (-52)/48. Determine m so that -s*m + 2/3 + 2/3*m**2 = 0.
1
Suppose 4*y - 6 = -3*j + y, j - 4*y - 12 = 0. Suppose -j*s - 30 = -10*s. Suppose 0*m**2 - 8/11*m**4 - 6/11*m**s + 0*m + 8/11*m**3 + 0 = 0. Calculate m.
-2, 0, 2/3
Let q(c) be the third derivative of -c**8/33600 + c**7/8400 + 2*c**5/15 - 5*c**2. Let s(o) be the third derivative of q(o). Factor s(b).
-3*b*(b - 1)/5
Let u(c) = c**2 - 2*c + 3. Let p be (-4)/(-10) + 40/25. Let b be u(p). Solve -2 + 4*k**4 + 5*k**b + k**2 + 2 = 0.
-1, -1/4, 0
Let v(u) be the second derivative of u**5/30 + u**4/18 - u**3/9 - u**2/3 + 10*u. Let v(k) = 0. Calculate k.
-1, 1
Suppose 4*f - 5 = -1. Let y be f + ((-6)/4)/3. Suppose -1/4*s**2 + 1/4*s + y = 0. What is s?
-1, 2
Suppose 5*w - 24 = -q, 10 = 4*w - 2*q + 2. Determine y so that 14/5*y**2 + 16/5*y**3 + 0 - 32/5*y**w + 2/5*y = 0.
-1/4, 0, 1
Let o(v) = 9*v**3 + 15*v**2 - 32*v + 14. Let p(c) = -9*c**3 - 15*c**2 + 32*c - 15. Let q(f) = -3*o(f) - 2*p(f). Factor q(n).
-(n + 3)*(3*n - 2)**2
Let w(a) be the first derivative of 2*a**3/3 + a**2 - 2. Let i = -7 - -10. Let l(s) = s**2. Let d(j) = i*l(j) - w(j). Factor d(o).
o*(o - 2)
Let y(r) be the first derivative of -1/7*r**2 + 2/21*r**3 + 5 - 2/7*r + 1/14*r**4. Let y(j) = 0. Calculate j.
-1, 1
Determine v, given that -3/5*v**2 + 0 + 21/5*v**4 + 6/5*v**5 - 6/5*v + 18/5*v**3 = 0.
-2, -1, 0, 1/2
Let f be (-40)/144 - 3/(-6). Let b(a) be the first derivative of -4/27*a**3 + 1/9*a**2 + f*a + 1. Suppose b(r) = 0. What is r?
-1/2, 1
Suppose 3*s = 2*k + 15, 2 = -5*s - k + 14. Let p(g) be the second derivative of 1/100*g**5 + 0*g**2 + g + 1/30*g**s + 0 + 1/30*g**4. Solve p(u) = 0.
-1, 0
Let k(i) be the third derivative of i**8/840 - 4*i**7/525 + i**6/50 - 2*i**5/75 + i**4/60 + 13*i**2. Solve k(a) = 0 for a.
0, 1
Factor 8/9 - 2/9*m**2 - 2/9*m**3 + 8/9*m.
-2*(m - 2)*(m + 1)*(m + 2)/9
Suppose 0*j**2 + j**2 - 9 + 0 + 5 - 3*j = 0. Calculate j.
-1, 4
Let j(g) be the second derivative of -g**10/10080 + g**9/5040 - g**4/2 - 7*g. Let o(p) be the third derivative of j(p). Factor o(c).
-3*c**4*(c - 1)
Let t(q) = -15*q**3 - q - 1. Let x be t(-1). Suppose 2*h + 20 = 4*g, -g - x = 3*h - 4*g. Solve 0*r - 2/9*r**2 + h = 0 for r.
0
Let y(z) be the third derivative of -z**5/75 + z**4/15 - 26*z**2. Factor y(x).
-4*x*(x - 2)/5
Suppose 24 + 4 = 7*t. Factor -2/9*p**5 + 2/9*p**t - 2/9*p + 4/9*p**3 + 2/9 - 4/9*p**2.
-2*(p - 1)**3*(p + 1)**2/9
Let l = -8 - -11. Let -2*h**l - 4*h**5 - h**5 + 5*h**5 + 2*h**5 = 0. Calculate h.
-1, 0, 1
Let x(k) be the second derivative of -k**5/10 - 2*k**4/3 - 4*k**3/3 - 31*k. Factor x(y).
-2*y*(y + 2)**2
Let b(c) be the third derivative of -c**7/2520 - c**6/360 - 5*c**4/24 + 3*c**2. Let m(y) be the second derivative of b(y). What is g in m(g) = 0?
-2, 0
Suppose -13 + 7 