ch that -2*v**s + v**5 + v**2 + 3*v**3 + 0*v**3 - 3*v**4 = 0.
0, 1
Let x(k) be the first derivative of -k**5/15 + 7*k**4/12 - k**3 - 9*k**2/2 + 18*k + 37. Factor x(m).
-(m - 3)**3*(m + 2)/3
Let o = 611 + -609. Factor -6/5 - 8/5*l - 2/5*l**o.
-2*(l + 1)*(l + 3)/5
Let f(v) be the first derivative of v**6/9 - 2*v**5/15 - v**4/3 + 4*v**3/9 + v**2/3 - 2*v/3 + 3. Factor f(c).
2*(c - 1)**3*(c + 1)**2/3
Let y be (-104)/78*2/10*-3. Solve -y*l**2 + 0 + 0*l + 2/5*l**3 = 0 for l.
0, 2
Let m be (70/(-25) - -3) + (-43)/(-35). Solve -2*a + 6/7 - 2/7*a**3 + m*a**2 = 0.
1, 3
Let h = 10 - 5. Factor -2*r**4 - 4*r**4 - r**5 - 2*r**2 + 3*r**h + 6*r**3.
2*r**2*(r - 1)**3
Let r be (-3 - 45) + 2 + 1. Let k = r - -181/4. Factor k + 1/4*b**2 - 1/2*b.
(b - 1)**2/4
Let u(o) = o**3 + o**2 - o. Let r be u(0). Factor -1/2*f - 1/2*f**3 + r - f**2.
-f*(f + 1)**2/2
Suppose 3*q = -5*a + 2*a + 3, -2*a - 16 = -4*q. Let 16*s**2 - 15*s**2 - s**3 + s + 0*s**q + 2*s**4 - 3*s**4 = 0. Calculate s.
-1, 0, 1
Suppose 0 = 5*c + 1 - 11. Let p(m) be the first derivative of -2/7*m**2 + 2/21*m**3 + 0*m - c. Determine s, given that p(s) = 0.
0, 2
Determine z, given that -3*z**2 + z**2 + 5*z**2 = 0.
0
Let h = 176 - 111. Factor -8*i**3 - i**2 - 3*i**2 - h*i + 73*i + 4*i**4.
4*i*(i - 2)*(i - 1)*(i + 1)
Let x be 2 + -1 + 5 + -3. Suppose 4/3*l**2 + 0 - 2/3*l**x + 0*l = 0. What is l?
0, 2
Let b(m) be the third derivative of 0*m**4 - 1/20*m**5 - 3/70*m**7 + 5*m**2 + 0*m + 0 + 0*m**3 + 3/40*m**6 + 1/112*m**8. Factor b(t).
3*t**2*(t - 1)**3
Suppose -10*p - 12 = 4*y - 6*p, 3*y + 5*p + 15 = 0. Factor 0*k**3 + y*k - 2/5*k**4 + 4/5*k**2 - 2/5.
-2*(k - 1)**2*(k + 1)**2/5
Let x(y) be the first derivative of -y**4/18 + 10*y**3/27 - 4*y**2/9 + 21. Factor x(d).
-2*d*(d - 4)*(d - 1)/9
Let f(b) = -b**3 + b**2 + 2. Let p be f(0). Let z(q) be the second derivative of 0 - 4*q + 1/42*q**4 + 2/21*q**3 + 0*q**p. Suppose z(j) = 0. What is j?
-2, 0
Let f(g) = -4*g**3 + 5*g**2 - 6*g - 5. Let j(u) = -3*u**3 + 4*u**2 - 5*u - 4. Let q(i) = 4*f(i) - 5*j(i). Factor q(t).
-t*(t - 1)*(t + 1)
Let s be 0 + (-12)/(-9)*(-6)/(-28). Factor s*o**2 - 6/7*o + 4/7.
2*(o - 2)*(o - 1)/7
Let l be ((-6)/(-4))/((-135)/35). Let g = l + 8/9. Suppose -1/2*t**2 - t - g = 0. Calculate t.
-1
Let r be (-7 + 8)/(-2 - 102/(-36)). Factor 0 + 6/5*t - r*t**3 - 3/5*t**4 + 3/5*t**2.
-3*t*(t - 1)*(t + 1)*(t + 2)/5
Let q(g) be the second derivative of g**7/42 + 7*g**6/30 + 2*g**5/5 - 4*g**4/3 - 14*g. Determine u, given that q(u) = 0.
-4, 0, 1
Let a(v) be the first derivative of v**7/7 - 11*v**6/15 + 4*v**5/5 + 2*v**4/3 - 5*v - 4. Let o(h) be the first derivative of a(h). Let o(c) = 0. What is c?
-1/3, 0, 2
Let k(h) = 3 - 4*h**3 + 4*h - h**3 + 3*h**3 - 2*h**2 + 0*h. Let x(z) = -9*z**3 - 8*z**2 + 17*z + 13. Let q(t) = 26*k(t) - 6*x(t). Suppose q(v) = 0. Calculate v.
0, 1
Let r(z) be the third derivative of -z**5/420 - z**4/14 - 6*z**3/7 + 17*z**2. Suppose r(y) = 0. What is y?
-6
Factor 10*c**2 + 20 + 9353*c**3 - 9348*c**3 - 35*c + 0*c.
5*(c - 1)**2*(c + 4)
Let c(q) be the first derivative of 5*q**6/21 + 34*q**5/35 + 3*q**4/2 + 22*q**3/21 + 2*q**2/7 + 16. Find r such that c(r) = 0.
-1, -2/5, 0
Let -28/9*v - 16/9*v**2 + 8/9 = 0. Calculate v.
-2, 1/4
Let l(x) be the third derivative of -x**6/720 - x**5/180 + 7*x**2. Determine o, given that l(o) = 0.
-2, 0
Suppose -2 - 30 = 4*j. Let q = -5 - j. Let -1/4*d + 1/4*d**q - 1/4*d**4 + 0 + 1/4*d**2 = 0. What is d?
-1, 0, 1
Let r(x) be the third derivative of -x**7/70 + x**6/40 + x**5/20 - x**4/8 - 2*x**2. Factor r(s).
-3*s*(s - 1)**2*(s + 1)
Suppose -25 = -7*a + 2*a. Let q(j) be the second derivative of -1/18*j**4 + 1/3*j**2 + 1/30*j**a - 1/9*j**3 - j + 0. Let q(k) = 0. What is k?
-1, 1
Factor -5 + 11*l - 2*l**2 + 6 - 9 - l.
-2*(l - 4)*(l - 1)
Factor -2/7*k + 2/7*k**3 + 0 + 2/7*k**4 - 2/7*k**2.
2*k*(k - 1)*(k + 1)**2/7
Solve -4/3*x + 4/9 + 4/3*x**2 - 4/9*x**3 = 0.
1
Let f be (-40)/70*14/(-4). Let x(y) be the first derivative of 2 + 0*y - 1/2*y**3 - 1/4*y**f. Determine i, given that x(i) = 0.
-1/3, 0
Let f(y) be the third derivative of 0*y**5 + 0*y + 0*y**7 + y**2 + 1/112*y**8 + 0 + 0*y**3 + 0*y**4 - 1/40*y**6. Factor f(m).
3*m**3*(m - 1)*(m + 1)
Determine s, given that 2/3*s + 0 - 4*s**4 - 14/3*s**3 + 0*s**2 = 0.
-1, -1/2, 0, 1/3
Let p(i) be the third derivative of 2*i**7/105 + i**6/30 - 19*i**2. Factor p(o).
4*o**3*(o + 1)
Let q(r) be the second derivative of -2*r**7/105 + 26*r**6/75 - 12*r**5/5 + 112*r**4/15 - 128*r**3/15 - 3*r. Factor q(n).
-4*n*(n - 4)**3*(n - 1)/5
Factor -2*d**3 - 16/5*d**2 + 0 + 8/5*d.
-2*d*(d + 2)*(5*d - 2)/5
Let i(q) = 3 + 17*q**3 - 16*q**3 + 4 - 8*q. Let l(p) = p**3 - 9*p + 8. Let x(s) = -6*i(s) + 5*l(s). Determine v, given that x(v) = 0.
-2, 1
Let g(w) be the first derivative of 2/7*w**2 + 2/35*w**5 + 0*w**3 - 1/7*w**4 - 3 - 2/7*w. Factor g(y).
2*(y - 1)**3*(y + 1)/7
Let z be (10 - (2 - -3)) + 42/(-9). Factor 0 + 1/3*y**2 - z*y.
y*(y - 1)/3
Let r(h) = h**5 - 3*h**4 + 10*h**3 - 12*h**2 + 7*h - 3. Let d(z) = z**5 - 2*z**4 + 10*z**3 - 13*z**2 + 8*z - 4. Let v(t) = -2*d(t) + 3*r(t). Factor v(l).
(l - 1)**5
Factor -8/11 - 12/11*j**2 - 18/11*j - 2/11*j**3.
-2*(j + 1)**2*(j + 4)/11
Let c(b) be the first derivative of 5*b**3/3 - b**2/2 + 3. Let p(a) = 4*a**2 - a. Let l(q) = 3*c(q) - 4*p(q). Let l(n) = 0. Calculate n.
0, 1
Let t = -100 + 104. Let a(c) be the second derivative of 8/9*c**3 - 3*c - 17/36*c**t + 0 - 2/3*c**2 + 1/12*c**5. Factor a(v).
(v - 2)*(v - 1)*(5*v - 2)/3
Let s(x) be the second derivative of -3*x**3 + 27/2*x**2 + 6*x + 1/4*x**4 + 0. Factor s(p).
3*(p - 3)**2
Let o(n) be the second derivative of n**5/80 + n**4/12 + 5*n**3/24 + n**2/4 + 3*n. Let o(t) = 0. What is t?
-2, -1
Let x(t) be the first derivative of -t**6/480 - t**5/240 - t**2 + 1. Let b(a) be the second derivative of x(a). Factor b(y).
-y**2*(y + 1)/4
Let l be (-87)/360 - (-3)/12. Let o(w) be the third derivative of -2*w**2 + 0 + 0*w**3 + 0*w + 1/48*w**4 - l*w**5. Factor o(d).
-d*(d - 1)/2
Let b(d) = d**3 - 6*d**2 + d + 1. Let g be b(3). Let n = -14 - g. Find v, given that n*v - 8*v**2 - 9*v + 8*v**3 - 2*v**4 = 0.
0, 2
Let x be 1/(((-1)/(-1))/8). Let t be (-3)/(-12) + (-2)/x. Solve -18/11*d**5 + 8/11*d**2 + t - 24/11*d**4 + 4/11*d**3 - 2/11*d = 0.
-1, 0, 1/3
Let l(d) be the second derivative of -d**4/60 - d**3/15 + 15*d. Find j such that l(j) = 0.
-2, 0
Let m(q) = -2*q - 3. Let i be m(-4). Suppose -3*s - y = 3*y - 9, s - i*y - 3 = 0. Factor -s*x + 2 - 2*x**2 + 3*x.
-2*(x - 1)*(x + 1)
Solve 7*i**2 + 10 + 5*i - 18*i**2 - 4*i**2 = 0 for i.
-2/3, 1
Let q(s) be the second derivative of -s**6/75 + s**5/50 + 2*s**4/15 - 4*s**3/15 - 8*s. Suppose q(l) = 0. Calculate l.
-2, 0, 1, 2
Suppose 3*j**3 + 8*j**4 - 5*j**3 - 3*j**5 - 3*j**5 = 0. Calculate j.
0, 1/3, 1
Let s be -1 - (-3 + 0/(-3)). Suppose 2*l - 3*l**4 - s*l**3 - 2*l**4 + 3*l**4 + 0*l + 2*l**2 = 0. What is l?
-1, 0, 1
Let b(m) be the third derivative of -m**7/3360 + m**6/480 - m**5/160 + m**4/96 + 7*m**3/6 + 4*m**2. Let k(t) be the first derivative of b(t). Factor k(w).
-(w - 1)**3/4
Let u be 16/(-64)*(-1 - 15). Let n(k) be the second derivative of -1/15*k**6 + 0*k**2 + 0 + 1/2*k**u + 0*k**5 - 2/3*k**3 + 2*k. Suppose n(r) = 0. Calculate r.
-2, 0, 1
Let c(w) be the third derivative of 1/21*w**4 - 3*w**2 + 1/1260*w**6 + 0*w + 1/6*w**3 + 0 + 1/105*w**5. Let i(a) be the first derivative of c(a). Factor i(l).
2*(l + 2)**2/7
Let i = -14 + 17. Let c(b) be the second derivative of 1/15*b**6 - 3/20*b**5 + 0 + b + 0*b**i + 0*b**2 + 1/12*b**4. What is n in c(n) = 0?
0, 1/2, 1
Let h = 167 - 311/2. Let a = 73/6 - h. Suppose 1/3*g + 1/3*g**2 - a = 0. What is g?
-2, 1
Let v(i) be the first derivative of -7*i**4/26 - 10*i**3/39 + 2*i**2/13 + 3. Factor v(x).
-2*x*(x + 1)*(7*x - 2)/13
Suppose 0 = -2*l + 3*u + u + 20, l - 3*u = 15. Let r(v) be the first derivative of 4 + 1/3*v**6 + 0*v**2 + 2/5*v**5 + l*v**4 + 0*v**3 + 0*v. Factor r(n).
2*n**4*(n + 1)
Find t such that -4/3*t**2 + 0 - 2/3*t - 2/3*t**3 = 0.
-1, 0
Let l be (-1 - 1)*18/4. Let j = l - -11. Factor 4/3*b + 0 - j*b**3 - 2/3*b**2.
-2*b*(b + 1)*(3*b - 2)/3
Factor 5*l**4 - 5*l**4 - 2*l**4 - l**5 - l**5.
-2*l**4*(l + 1)
Suppose 4*z + g - 3 = 0, -3*g - 2*g = 25. Let f(w) be the first derivative of -1/2*w**z + 3 + 0*w - 1/4*w**4 - 2/3*w**3. Le