 2/7*l + 4/7*l**3 + m = 0. Calculate l.
-1, -1/2, 0
Suppose 0 = k + 3*k - 16. Suppose 4 = -2*w + k*w. Solve 30/7*g**3 + 2*g**w - 4/7*g - 68/7*g**4 - 80/7*g**5 + 0 = 0.
-1, -1/2, 0, 1/4, 2/5
Let t = 113 + -111. Factor -6/5*x**t + 2/5*x**3 - 2/5*x + 4/5 + 2/5*x**4.
2*(x - 1)**2*(x + 1)*(x + 2)/5
Let j(i) be the second derivative of -1/30*i**4 + 0*i**2 + 0 + 1/75*i**6 + 1/15*i**3 - 1/50*i**5 + i. Solve j(w) = 0.
-1, 0, 1
Let r be (-64)/(-28) - 2/7. Suppose r*y**5 - 3*y**4 + 6*y - 6*y**4 - 14*y**2 + 9*y**3 + 4*y**3 + 3*y**3 - 1 = 0. Calculate y.
1/2, 1
Let a(q) be the first derivative of q**3/27 - q**2/9 + q/9 + 3. Determine w so that a(w) = 0.
1
Let g be ((-2)/11)/((-84)/231). Let n = 0 + 0. Let 0 + 0*a**2 + n*a + g*a**3 + 1/2*a**4 = 0. What is a?
-1, 0
Suppose -44 = -3*p - 14. Suppose 0*i - 22 = -5*f - i, -15 = 5*i. Solve -x**4 + p*x**4 - 7*x**f - 3*x**3 + x**3 = 0 for x.
0, 2/7, 1
Let i(k) be the third derivative of 0 + 2*k**2 + k**3 + 1/20*k**5 - 3/8*k**4 + 0*k. Determine a, given that i(a) = 0.
1, 2
Let i(l) be the second derivative of -l**4/60 - 2*l**3/15 - 2*l**2/5 + 13*l. Let i(s) = 0. Calculate s.
-2
Let p(r) be the third derivative of -r**6/1260 - r**5/140 + r**4/21 - 7*r**3/6 - 7*r**2. Let b(w) be the first derivative of p(w). Factor b(i).
-2*(i - 1)*(i + 4)/7
Let g(t) = -4*t**4 + 104*t**3 - 196*t**2 + 16. Let u(v) = -v**4 + 21*v**3 - 39*v**2 + 3. Let m(o) = -3*g(o) + 16*u(o). Let m(i) = 0. What is i?
0, 3
Determine q, given that 2*q**2 - 114*q**3 + 484*q**5 + 41*q**3 - 87*q**3 + 308*q**4 + 14*q**2 = 0.
-1, 0, 2/11
Let a(j) be the second derivative of 1/30*j**4 + 1/225*j**6 + 0 + 0*j**2 - 1/50*j**5 - 7*j - 1/45*j**3. Factor a(v).
2*v*(v - 1)**3/15
Let x(f) be the first derivative of 2*f**5/75 - f**4/30 - 2*f**3/45 + f**2/15 - 18. Factor x(y).
2*y*(y - 1)**2*(y + 1)/15
Suppose 3 = -4*p + 5*d + 6, -4 = -p - 2*d. Let y(l) be the second derivative of 0*l**4 + 0*l**p - 1/50*l**5 + 2*l + 0 + 1/15*l**3. Factor y(k).
-2*k*(k - 1)*(k + 1)/5
Let v(g) be the third derivative of -g**2 + 0*g**4 + 1/40*g**6 + 0 + 0*g - 1/20*g**5 + 0*g**3. Find u such that v(u) = 0.
0, 1
Let q(i) be the second derivative of i**5/80 - i**4/24 + i**3/24 + 8*i. Factor q(r).
r*(r - 1)**2/4
Let r = 7 - 11/2. Let d be (-2 - -1)*(-2 + 2). Solve -5/2*s**3 + d - r*s**2 + 3*s**4 + s = 0.
-2/3, 0, 1/2, 1
Let f be 1*5*52/585. Suppose -c = -0 - 2. Factor f - 2/9*l**c + 2/9*l.
-2*(l - 2)*(l + 1)/9
Let k be (-5)/5 - (-1)/1. Let q(c) be the first derivative of 0*c + k*c**2 + 1/9*c**3 - 2 + 1/4*c**4 - 4/15*c**5. Find g such that q(g) = 0.
-1/4, 0, 1
Let j(z) be the first derivative of -3*z**5/20 + 3*z**4/16 + 3*z**3/4 - 15*z**2/8 + 3*z/2 - 4. Factor j(f).
-3*(f - 1)**3*(f + 2)/4
Suppose 0 = -5*u + 2*u. Let b(n) be the third derivative of -1/240*n**6 - 1/48*n**4 + u - n**2 - 1/60*n**5 + 0*n**3 + 0*n. Factor b(w).
-w*(w + 1)**2/2
Factor d - 6*d**3 + 3*d**2 - d + 3*d**4 + 0*d.
3*d**2*(d - 1)**2
Let j(c) = -c**5 + 6*c**4 + 12*c**3 - 5*c**2 + 5*c. Let l(p) = p**5 - 3*p**4 - 6*p**3 + 2*p**2 - 2*p. Let b(f) = -2*j(f) - 5*l(f). Factor b(z).
-3*z**3*(z - 2)*(z + 1)
Let k(t) be the first derivative of 0*t + 0*t**2 - 1/4*t**4 + 5 + 1/2*t**6 - 2/3*t**3 + 4/5*t**5. Find f such that k(f) = 0.
-1, 0, 2/3
Let b be ((-27)/(-18))/(12/10). Find z such that -b*z + 1/4*z**3 - 1/4*z**4 + 3/4*z**2 + 1/2 = 0.
-2, 1
Let o(a) be the third derivative of a**8/26880 - a**7/10080 - a**6/2880 + a**5/480 + a**4/12 + 2*a**2. Let t(v) be the second derivative of o(v). Factor t(b).
(b - 1)**2*(b + 1)/4
Suppose 0 = -4*s - 34 + 6. Let p(n) = -4*n**4 - 3*n**3 - 7*n**2 - 7. Let m(d) = -d**4 - d**3 - 2*d**2 - 2. Let a(j) = s*m(j) + 2*p(j). Factor a(x).
-x**3*(x - 1)
Let m = -12/131 + 851/7860. Let p(c) be the third derivative of m*c**5 + 0*c**4 + 0 + 1/60*c**6 + 1/210*c**7 + 0*c + 0*c**3 + c**2. Factor p(g).
g**2*(g + 1)**2
Solve 2/7*n**2 + 4/7*n - 16/7 = 0 for n.
-4, 2
Let j = 19/18 + -5/9. Suppose -3*l = -4*c + 10, c - 2 = 2*c - 3*l. Solve 1/2*n**c + 0 - j*n**3 + 0*n - n**2 = 0 for n.
-1, 0, 2
Let d(c) = c + 1. Let w(k) = -3*k**2 - 24. Let n(p) = -12*d(p) - w(p). Factor n(v).
3*(v - 2)**2
Let f(k) be the first derivative of -5/6*k**2 + 1/15*k**5 + 4 + 1/12*k**4 - 1/3*k**3 - 2/3*k. Factor f(j).
(j - 2)*(j + 1)**3/3
Let z = 2/43 + 1/903. Let f(o) be the second derivative of 11/45*o**6 + 3*o + 0*o**2 + 2/9*o**3 + 0 + 1/2*o**5 + 1/2*o**4 + z*o**7. Solve f(i) = 0.
-1, -2/3, 0
Let j(k) = -k**3 + k + 1. Let u(f) = -2*f**3 - f**2 - 2*f. Let t(l) = 3*j(l) - u(l). Find i, given that t(i) = 0.
-1, 3
Suppose 2 - 8 = -3*c. Suppose -c*p = -p. What is m in 4/7*m**2 + 2/7*m + p + 2/7*m**3 = 0?
-1, 0
Factor 0 - 1/3*p**4 - 4/3*p**2 + 0*p - 4/3*p**3.
-p**2*(p + 2)**2/3
Let c = 112 - 108. Let g(r) be the first derivative of 4 + 1/5*r**2 + 0*r - 2/3*r**3 - 6/25*r**5 + 7/10*r**c. Solve g(f) = 0.
0, 1/3, 1
Let v = 904 - 902. Factor 0*k - 4/5 + 4/5*k**v.
4*(k - 1)*(k + 1)/5
Let z be (1/175)/((-6)/(-7)). Let w(q) be the second derivative of 3*q + 0 - 1/10*q**2 - z*q**6 + 1/25*q**5 - 1/10*q**4 + 2/15*q**3. Factor w(r).
-(r - 1)**4/5
Let o(g) be the third derivative of 0 + 4*g**2 + 1/90*g**5 + 0*g**3 + 0*g + 1/36*g**4. Solve o(q) = 0.
-1, 0
Let h(w) be the second derivative of -w**2 + 7/20*w**5 + 0 + 11/6*w**3 - 4/3*w**4 + 3*w. Solve h(j) = 0 for j.
2/7, 1
Suppose -11 = -3*p - 5. Solve 0*y**3 + 4*y + 0*y - 6*y**2 + p*y**3 = 0 for y.
0, 1, 2
Let j(y) be the first derivative of 2/21*y**3 - 1/7*y**2 - 1 + 2*y - 1/42*y**4. Let h(c) be the first derivative of j(c). Solve h(u) = 0 for u.
1
Let a be 1*(-3 - -3)*(-2)/(-4). Let h(r) be the first derivative of 10/9*r**3 + 2/3*r**2 + a*r - 7/6*r**4 + 2. Factor h(m).
-2*m*(m - 1)*(7*m + 2)/3
Let h(f) be the first derivative of f**5/30 - f**4/24 - f**3/9 + 5. Suppose h(g) = 0. Calculate g.
-1, 0, 2
Let z(a) = 38*a**2 + 30*a - 8. Let i(t) = 77*t**2 + 61*t - 16. Let k(x) = -2*i(x) + 5*z(x). Solve k(d) = 0 for d.
-1, 2/9
Factor -90*z**2 + 3*z**3 - 54*z**2 + 2304*z - 8332 - 3956.
3*(z - 16)**3
Let a(m) = -8*m**2 + 10*m + 4. Let t(y) = -23*y**2 + 29*y + 11. Let p(h) = -17*a(h) + 6*t(h). Factor p(k).
-2*(k - 1)**2
Let j(u) be the third derivative of u**7/70 + 13*u**6/120 + 19*u**5/60 + 11*u**4/24 + u**3/3 - 3*u**2. Solve j(v) = 0 for v.
-2, -1, -1/3
Factor 2/3 - 4*a - 8/3*a**3 + 6*a**2.
-2*(a - 1)**2*(4*a - 1)/3
Let n = 176 + -174. Factor -6/11*p**3 + 0 + 6/11*p**n - 2/11*p + 2/11*p**4.
2*p*(p - 1)**3/11
Let j be 0 - ((-12)/(-9) - 2). Suppose 6*n = -5*b + 3*n + 18, -n + 2 = b. Let 4*u + b + j*u**2 = 0. What is u?
-3
Let f(p) = -2*p**4 + 6*p**3 + 10*p**2 - 2*p - 8. Let k = -10 - -6. Let d(j) = 4*j**4 - 11*j**3 - 19*j**2 + 4*j + 15. Let n(i) = k*d(i) - 7*f(i). Factor n(y).
-2*(y - 2)*(y - 1)*(y + 1)**2
Let w(l) be the first derivative of 147*l**5/25 - 189*l**4/10 + 109*l**3/5 - 54*l**2/5 + 12*l/5 + 18. Let w(x) = 0. Calculate x.
2/7, 1
Suppose 0*b**2 + 4*b**2 - 2*b**2 + 0*b**2 - 4*b = 0. What is b?
0, 2
Let h(c) be the second derivative of -2*c**5/25 - 3*c**4/10 - 2*c**3/15 + 37*c. Solve h(g) = 0.
-2, -1/4, 0
Let q be ((-10)/(-4))/(15/12). Let b(p) be the second derivative of 0 - 1/18*p**3 - 1/36*p**4 + 0*p**q + p. Factor b(c).
-c*(c + 1)/3
Let y(x) be the third derivative of -x**7/70 + x**6/40 + 7*x**5/20 - 13*x**4/8 + 3*x**3 + 15*x**2. Factor y(h).
-3*(h - 2)*(h - 1)**2*(h + 3)
Let f = 8 - 9. Let t be ((-4)/(-8))/(f/(-6)). Determine i so that 0 + 0*i + 16/3*i**5 - 8/3*i**4 + 1/3*i**t + 0*i**2 = 0.
0, 1/4
Suppose 0 = -4*g - 3*p - 4, 2*g = -g + 2*p + 14. Let x(z) be the first derivative of -2*z**g + 2/3*z**3 + 2 + 0*z + 1/2*z**4. Find c, given that x(c) = 0.
-2, 0, 1
Suppose 5*s + 20 = 0, 5*f - 3*s - 2*s = 85. Solve 18*l**2 - f*l - 5*l - 24*l**4 + 4 + 14*l**3 + 2*l**3 = 0 for l.
-1, 1/2, 2/3
Factor 3*j**3 + 84*j**4 + 24*j - 75*j**4 - 24*j**2 - 12*j.
3*j*(j - 1)*(j + 2)*(3*j - 2)
Let n(f) be the second derivative of f**5/80 - f**4/12 + 5*f**3/24 - f**2/4 + 2*f. Factor n(g).
(g - 2)*(g - 1)**2/4
Let p(c) = 2. Let k(q) = -q**4 - 2*q**3 + 2*q - 21. Let r(a) = 2*k(a) + 22*p(a). Factor r(s).
-2*(s - 1)*(s + 1)**3
Let v(d) be the third derivative of -3*d**7/175 + d**6/5 - 41*d**5/75 + 3*d**4/5 - d**3/3 - 27*d**2. Solve v(p) = 0.
1/3, 1, 5
Let f(z) = -15*z**4 + 237*z**3 - 1080*z**2 + 1650*z + 375. Let o(y) = -y**3. Let r(