ve b - 4/11*c**2 - 2/11*c + 2/11*c**5 + 4/11*c**4 + 0*c**3 = 0 for c.
-1, 0, 1
Suppose 27 = t - u - 1, 5*t - 143 = 2*u. Let b = t - 20. Factor -2*y**2 + 5*y**5 + 3*y - 3*y + b*y**3 - 12*y**4.
y**2*(y - 1)**2*(5*y - 2)
Let o be (-4)/8*(1 - 5). Suppose -4*a + 58 = -0*a - 5*k, 3*a - 2*k = 40. Solve a + o*g**3 - 12 = 0.
0
Let a = -4 + 4. Let v = a + 3. Factor 3*w**2 - w - 5*w**2 - 2*w**3 + 3*w**v - 2*w**3.
-w*(w + 1)**2
Suppose a = -3*a. Let y(b) be the third derivative of a*b + 1/18*b**3 + 0 - b**2 + 1/180*b**5 - 1/36*b**4. Find c such that y(c) = 0.
1
Let k be (-15)/20 - (-11)/4. Let x(m) be the third derivative of 0*m**4 - m**k + 1/270*m**5 + 0*m - 1/27*m**3 + 0. Factor x(j).
2*(j - 1)*(j + 1)/9
Let v(m) = m**3 + 13*m**2 + 2*m + 30. Let f be v(-13). Let a(k) be the first derivative of -2 + 1/2*k**2 + 0*k - 1/4*k**f + 0*k**3. Let a(h) = 0. Calculate h.
-1, 0, 1
Let t(o) be the first derivative of -4 - 3/5*o**5 + 0*o + 9/4*o**4 - 3*o**3 + 3/2*o**2. Factor t(y).
-3*y*(y - 1)**3
Let m be (4 - 0) + (-20)/8. Factor -3/2*a - 1/2 - 1/2*a**3 - m*a**2.
-(a + 1)**3/2
Factor 4 + 10*p**3 + 60 + 32 - 96*p + 30*p**2 - 13*p**3.
-3*(p - 4)**2*(p - 2)
Let i(k) be the third derivative of -k**7/840 + k**5/120 + k**3/3 + 3*k**2. Let z(o) be the first derivative of i(o). Determine d, given that z(d) = 0.
-1, 0, 1
Let z(a) be the first derivative of -5 - 1/5*a**5 + 1/3*a**3 + 1/2*a**2 + 0*a - 1/4*a**4. Suppose z(s) = 0. What is s?
-1, 0, 1
Let m(l) = -3*l - 1. Let q be m(-1). Factor q*u**2 + u + 3*u - 7*u - u.
2*u*(u - 2)
Let i = 25 - 17. Let b(k) = -11*k**4 - 7*k**3 - 27*k**2 - 13*k - 14. Let w(l) = -7*l**4 - 5*l**3 - 18*l**2 - 9*l - 9. Let h(o) = i*w(o) - 5*b(o). Factor h(m).
-(m + 1)**3*(m + 2)
Let m(t) = -t**3 - t**2 - t. Let j(a) = -4*a**3 + 0*a - 1 + 8*a - 8*a**2 - 3 + 2*a**4. Let w(k) = -2*j(k) + 4*m(k). Let w(z) = 0. Calculate z.
-2, 1
Let x = 17/13 + -93/91. Factor 0 + 0*v**2 + 0*v + x*v**3 + 2/7*v**4.
2*v**3*(v + 1)/7
Let u(b) be the second derivative of -b**8/40320 - b**7/15120 + b**6/4320 + b**5/720 - b**4/3 + b. Let k(q) be the third derivative of u(q). Solve k(y) = 0.
-1, 1
Let q be (4/(-44) - -5) + 1 + -5. Suppose -56/11*x**2 + 6*x + q*x**3 + 36/11 = 0. Calculate x.
-2/5, 3
Let l(z) be the second derivative of -4*z**3 + 0 + 4*z**2 + 13/6*z**4 - 3/5*z**5 + 1/15*z**6 - z. Solve l(p) = 0.
1, 2
Let i be 5 + (-77)/14 + 1. Let -i*h**3 + 0 + 3/2*h**2 - 1/2*h + h**5 - 3/2*h**4 = 0. What is h?
-1, 0, 1/2, 1
Let 0 + 1/7*f**3 + 1/7*f**2 - 2/7*f = 0. What is f?
-2, 0, 1
Solve -1/2 - 1/4*k**2 - 3/4*k = 0 for k.
-2, -1
What is y in 0 - 3/4*y**2 + 1/4*y**3 + 0*y = 0?
0, 3
Let u(b) be the third derivative of 1/60*b**6 + 0*b**3 + 1/840*b**8 + 1/75*b**5 + 4/525*b**7 + 0*b**4 + 0 + 0*b + 2*b**2. Suppose u(n) = 0. Calculate n.
-2, -1, 0
Let l = -558/35 - -84/5. Solve 0 - 6/7*i**2 - l*i**3 - 2/7*i - 2/7*i**4 = 0 for i.
-1, 0
Suppose 0 = -0*y + 2*y - 14. Let y*t**4 - 7*t**4 + 2*t**4 + 2 - 4*t**2 = 0. What is t?
-1, 1
Suppose 7 + 17 = -4*c. Let q = 6 + c. Suppose -3/2*b**2 + b + q = 0. Calculate b.
0, 2/3
Let k(h) be the third derivative of 0 + 0*h**5 + 3*h**2 + 0*h**3 + 0*h**4 + 5/1512*h**8 - 1/270*h**6 - 1/315*h**7 + 0*h. Factor k(s).
2*s**3*(s - 1)*(5*s + 2)/9
Suppose -6 = -2*p, 3*z + p - 10 = 44. Suppose 0 = 3*n + 5 - z. Suppose -1/6*o + 0 + 0*o**3 + 1/6*o**5 + 1/3*o**2 - 1/3*o**n = 0. Calculate o.
-1, 0, 1
Let i(d) = -d + 2. Let c be i(-1). Let v(r) be the first derivative of -1/7*r**2 - 2 + 0*r + 1/7*r**4 - 1/21*r**6 + 0*r**c + 0*r**5. Find g such that v(g) = 0.
-1, 0, 1
Suppose -4*m + 0*m = -20. Let g(r) be the second derivative of 0*r**3 + 1/60*r**6 + 0 + 0*r**m + 1/4*r**2 - r - 1/12*r**4. Factor g(l).
(l - 1)**2*(l + 1)**2/2
Suppose 3*b = 85 + 32. Determine q so that -b*q - 10*q**2 + 4*q**4 + 35*q - 8*q**3 - 6*q**4 = 0.
-2, -1, 0
Let f = 72 + -431/6. Let p(v) be the second derivative of -4*v**2 - f*v**4 + 0 + 4/3*v**3 + 2*v. Factor p(d).
-2*(d - 2)**2
Factor -2/5*s**3 + 0*s - 6/5*s**2 + 8/5.
-2*(s - 1)*(s + 2)**2/5
Find r such that -1/3*r**4 + 0 - 1/3*r**2 + 0*r + 2/3*r**3 = 0.
0, 1
Suppose 3*z = -2*t - 3, -t - 2*z = -0*z + 2. Let -52/9*x**3 + t - 8*x**2 + 50/9*x**5 - 16/9*x + 10*x**4 = 0. Calculate x.
-2, -2/5, 0, 1
Let i(k) be the third derivative of -1/60*k**4 + 0*k + 0*k**3 + 1/120*k**6 + 0 - 7/300*k**5 - 2*k**2 + 2/525*k**7. Factor i(y).
y*(y - 1)*(y + 2)*(4*y + 1)/5
Let r(z) be the second derivative of 5*z**4/12 - 5*z**3/2 - 14*z. Factor r(g).
5*g*(g - 3)
Factor -10/3 + 4/3*p - 2/15*p**2.
-2*(p - 5)**2/15
Let n(k) = 2*k**2 + 4*k + 4. Let q(o) = -4*o**2 - 8*o - 9. Suppose -5*f + 4*y = 6, 2*y = 4*y + 2. Let w(p) = f*q(p) - 5*n(p). Solve w(t) = 0.
-1
Determine p, given that -6/5*p**4 + 0 - 8/5*p**2 + 4*p**3 - 16/5*p = 0.
-2/3, 0, 2
Let q = 43 - 43. Factor q + 2/7*z - 2/7*z**3 + 0*z**2.
-2*z*(z - 1)*(z + 1)/7
Suppose -3*r + c = 6*c - 1, -2*r - 2*c + 2 = 0. Let g(n) be the second derivative of -1/20*n**5 + 1/6*n**3 - 3*n + 1/8*n**r + 0 - 1/48*n**4. Factor g(w).
-(w - 1)*(w + 1)*(4*w + 1)/4
Suppose -2*p = -4*w - 4*p - 4, w - 4*p - 8 = 0. Let h(g) = g**3 + g + 2. Let r be h(0). Find f such that w*f**r + f**2 + f + 2 - 4*f = 0.
1, 2
Determine i, given that -1/5*i**5 + 1/5*i + 2/5*i**4 - 2/5*i**2 + 0 + 0*i**3 = 0.
-1, 0, 1
Let p be (-729)/(-162)*(0 - 2/(-15)). Factor -6/5*z - 3/5*z**2 - p.
-3*(z + 1)**2/5
Let y be 2/(-1*8/20). Let g be (-30)/(-20) + y/6. Factor g*i - 2/9 + 2/9*i**2 - 2/3*i**3.
-2*(i - 1)*(i + 1)*(3*i - 1)/9
Let n(t) be the first derivative of t**5/10 + t**4/6 - 2*t - 3. Let o(s) be the first derivative of n(s). Determine u, given that o(u) = 0.
-1, 0
Let o(l) be the second derivative of -49*l**4/6 - 28*l**3/3 - 4*l**2 - 8*l. Let o(q) = 0. What is q?
-2/7
Suppose 5*k - 1 = 9. Suppose 10*x - 3*x**k + 2*x**2 - 10*x = 0. Calculate x.
0
Suppose -4*p = -3*d - 3 + 2, 2*p + 17 = 5*d. Suppose d*x - 2*x - 16 = -5*v, 4*x = 5*v - 2. Factor 0*f + x*f**4 + 0*f + f**5.
f**4*(f + 2)
Let y(q) be the second derivative of q + 3/10*q**5 + 1/3*q**4 + 0*q**3 + 1/15*q**6 + 0 + 0*q**2. Find r, given that y(r) = 0.
-2, -1, 0
Let u be -5*(-4)/40*(-2 + 2). Let y(g) be the first derivative of 2/9*g**3 + u*g + 1/3*g**2 + 4. Factor y(f).
2*f*(f + 1)/3
Let u(l) be the second derivative of 289*l**6/30 - 187*l**5/4 + 131*l**4/2 - 74*l**3/3 + 4*l**2 + 3*l. Factor u(z).
(z - 2)*(z - 1)*(17*z - 2)**2
Let s = -7983/1700 + 80/17. Let z(d) be the third derivative of -2*d**2 + 0 - 1/12*d**4 + 0*d + 7/150*d**5 - s*d**6 + 1/15*d**3. Factor z(j).
-2*(j - 1)**2*(3*j - 1)/5
Factor 3/2*g**3 + 0*g**2 + 3 - 9/2*g.
3*(g - 1)**2*(g + 2)/2
Let g(n) = 2*n - 35. Let v be g(19). Suppose 0 = 4*p - 3*p - 2. Suppose 3*w**4 - w**p - 2 + v*w - 4*w + 5*w**3 - 4*w = 0. What is w?
-1, -2/3, 1
Let p(c) be the second derivative of c**7/735 - c**5/70 - c**4/42 - c**2 - 2*c. Let u(g) be the first derivative of p(g). Factor u(f).
2*f*(f - 2)*(f + 1)**2/7
Let r be 51/9 + 6/(-9). Let a(t) = -7*t**5 + 6*t**r - 2 + t**4 + 1. Let x(c) = -5*c**5 + 5*c**4 + 2*c**3 - 2*c**2 - 3. Let m(d) = -3*a(d) + x(d). Factor m(y).
-2*y**2*(y - 1)**2*(y + 1)
Let f(v) = -v - 1. Let d be f(-5). Let y(o) be the second derivative of 1/5*o**2 + 2*o + 0 + 0*o**3 - 1/30*o**d. Find q, given that y(q) = 0.
-1, 1
Let w = -8 - -10. Let p(q) be the third derivative of 0*q**3 + 1/60*q**6 + 1/30*q**5 + 0 + 0*q + 0*q**4 - q**w. Factor p(t).
2*t**2*(t + 1)
Let w(l) be the third derivative of -l**5/420 + l**4/56 - 19*l**2 + 2. Factor w(d).
-d*(d - 3)/7
Factor 12 - 3*b**2 - 2*b - b - 12.
-3*b*(b + 1)
Suppose 13*g + 4 = 2*q + 12*g, 4*q - g - 8 = 0. Factor 0 - 2/7*c - 2/7*c**3 - 4/7*c**q.
-2*c*(c + 1)**2/7
Suppose -2*u + j + 3 = 0, -5*j - 1 - 14 = 4*u. Factor 1/2 - 1/2*c**4 + c**3 + u*c**2 - c.
-(c - 1)**3*(c + 1)/2
Let j(m) be the second derivative of -m**5/50 + m**4/15 - m**3/15 - 10*m. Factor j(x).
-2*x*(x - 1)**2/5
Factor -9/5*s + 9/5*s**2 + 3/5 - 3/5*s**3.
-3*(s - 1)**3/5
Let i(r) = -2*r**4 + 18*r**3 - 28*r**2 + 14*r + 4. Let b(f) = -f**4 + f**3 - f - 2. Let s(m) = -2*b(m) - i(m). Factor s(n).
4*n*(n - 3)*(n - 1)**2
Let o(b) be the third derivative of -b**7/945 + b**6/180 - b**5/90 + b**4/108 - 20*b**2. Determine s, given that o(s) = 0.
0, 1
Let g(y) be the first derivative of -4/3*y + 92/3*y**5 - 1 + 19/3*y**4 - 136/9*y**3 - 23/3*y**2 - 175/9*y**6.