v be 40/22 + (-8)/(-44). Factor 3/2*p**3 + 3/2*p**v + 0 + 1/2*p**4 + 1/2*p.
p*(p + 1)**3/2
Let 6/13*a**3 + 8/13*a - 32/13*a**2 + 0 - 14/13*a**5 + 32/13*a**4 = 0. Calculate a.
-1, 0, 2/7, 1, 2
Let w be ((-34)/(-30) - 0) + 2 + -3. Let u(t) be the first derivative of 0*t**2 - 1 - 1/6*t**4 - 1/27*t**6 + 0*t + 2/27*t**3 + w*t**5. Let u(k) = 0. What is k?
0, 1
Let q(k) = -3*k. Let u be q(-2). Let a = -4 + u. Let -1/2*s**5 + 0 + 0*s + 1/2*s**3 - 1/2*s**a + 1/2*s**4 = 0. What is s?
-1, 0, 1
Let r(a) be the first derivative of a**8/112 - a**7/14 + 9*a**6/40 - 7*a**5/20 + a**4/4 + a**2 + 1. Let g(t) be the second derivative of r(t). Factor g(m).
3*m*(m - 2)*(m - 1)**3
Let f(q) be the first derivative of 3*q**4/4 + q**3 - q**2/2 - q + 3. Let v(c) = -16*c**3 - 16*c**2 + 5*c + 5. Let l(o) = -11*f(o) - 2*v(o). Factor l(d).
-(d - 1)*(d + 1)**2
Determine l so that 2/7*l**5 + 0 + 0*l - 8/7*l**4 - 4/7*l**2 + 10/7*l**3 = 0.
0, 1, 2
Let w be (-12 - -13) + 0/(-2). Let q be 3 - (w - 18/(-10)). Find z such that q*z**4 - 1/5*z**2 + 1/5*z**3 - 1/5*z**5 + 0 + 0*z = 0.
-1, 0, 1
Let p be 1/3 + (-802)/(-300) + -3. Let y(g) be the third derivative of 0*g - 1/60*g**4 - g**2 + 0*g**3 - p*g**5 + 0. Factor y(q).
-2*q*(q + 1)/5
Let t be (138/92)/((-6)/(-8)). Suppose 0 - 4/9*o**4 + 2/9*o**3 + 2/9*o**5 + 0*o**t + 0*o = 0. What is o?
0, 1
Suppose 6 = 4*x - 10. What is v in 2*v**3 + 2*v - x*v - 3*v + 3*v + 2*v**4 - 2*v**2 = 0?
-1, 0, 1
Let y = -53/84 - 5/42. Let s = 3/4 - y. Factor -3/4*h**2 + s - 3/4*h.
-3*(h - 1)*(h + 2)/4
Suppose 2 - 10 = -4*n. Factor 2*v**3 + 2*v**3 + 23*v**n - 15*v**2.
4*v**2*(v + 2)
Let l be (0 + -2)*(-33)/22. Suppose w**2 - w**2 + 3*w + 3 + 0 - 3*w**3 - l*w**2 = 0. What is w?
-1, 1
Suppose 4*l - 16 = 3*z + 34, -35 = 3*z - l. Let x be 1/(-9)*45/z. Solve 1/2*u**3 + 0 + 7/4*u**4 - x*u - 7/4*u**2 = 0 for u.
-1, -2/7, 0, 1
Let m(b) be the first derivative of 5/8*b**4 + 0*b + 3 - b**2 - 4/3*b**3. Factor m(c).
c*(c - 2)*(5*c + 2)/2
Let x(w) be the second derivative of w**6/45 - w**5/30 - w**4/6 + w**3/9 + 2*w**2/3 + 7*w. Suppose x(f) = 0. Calculate f.
-1, 1, 2
Let b(d) be the third derivative of d**6/300 + d**5/150 - d**4/30 + 10*d**2 - 4. Factor b(p).
2*p*(p - 1)*(p + 2)/5
Find t such that 0*t + 2/13 - 2/13*t**2 = 0.
-1, 1
Factor -10*h**2 + 14 + 10 - 8*h**2 + 2*h**4 + 8*h.
2*(h - 2)**2*(h + 1)*(h + 3)
Suppose -3/2*n**2 - 3*n**3 + 3*n + 3/2 = 0. Calculate n.
-1, -1/2, 1
Let i(l) = -21*l**3 - 80*l**2 - 81*l - 30. Let y(h) = -85*h**3 - 320*h**2 - 325*h - 120. Let s(k) = 15*i(k) - 4*y(k). Factor s(u).
5*(u + 1)**2*(5*u + 6)
Let x = 60 + -57. Factor 0*u + 0*u**2 + 1/5*u**4 - 1/5*u**x + 0.
u**3*(u - 1)/5
Let b(p) be the first derivative of -p**7/525 + p**6/75 - p**5/25 + p**4/15 - p**3/15 + 2*p**2 + 4. Let s(n) be the second derivative of b(n). Factor s(a).
-2*(a - 1)**4/5
Let z = 12/37 + 13/74. Let f(y) be the first derivative of 0*y + 0*y**2 - 1/3*y**6 - 2/3*y**3 + 2/5*y**5 + z*y**4 - 4. Solve f(h) = 0 for h.
-1, 0, 1
Solve 0 + 0 + 2*p**2 + 4*p**2 - 8*p**3 = 0.
0, 3/4
Find b such that 1/2*b - 1/6 - 1/3*b**2 = 0.
1/2, 1
Suppose 2*u + 4*h = -474, u + 5*h = -250 + 22. Let g be 1 + -1 + u/(-12). Factor g*d**2 + 1 + 9*d.
(9*d + 2)**2/4
Let k be (-24)/(-10) - 2/5. Let z be k + (1 - 0/(-3)). Factor -z*x**5 - 7*x**4 + 9*x**4 - 2*x**2 + 5*x**5 - 2*x**3.
2*x**2*(x - 1)*(x + 1)**2
Let y(x) be the first derivative of 2*x**4/5 + 6*x**3/5 - 2*x**2 - 6*x/5 + 9. Factor y(b).
2*(b - 1)*(b + 3)*(4*b + 1)/5
Let x(v) = v - 5. Let s be x(5). Let u(o) be the third derivative of 3*o**2 + 1/12*o**3 + s - 1/240*o**5 + 0*o + 1/96*o**4. Solve u(w) = 0.
-1, 2
Factor 0*a + 10/7*a**3 + 4/7*a**2 + 2/7*a**5 + 8/7*a**4 + 0.
2*a**2*(a + 1)**2*(a + 2)/7
Let a be 2/(-56) + (-16)/(-56). Let j = -4 - -9/2. Factor -a*o**2 + 3/4*o - j.
-(o - 2)*(o - 1)/4
Let p = -17 - -17. Let v(z) be the first derivative of -1/4*z + 1/8*z**4 + 1/20*z**5 + 2 + p*z**3 - 1/4*z**2. Factor v(h).
(h - 1)*(h + 1)**3/4
Let z(b) be the second derivative of b**6/180 + b**5/45 + b**4/36 - 4*b**2 - 7*b. Let x(h) be the first derivative of z(h). Factor x(g).
2*g*(g + 1)**2/3
Factor -5/4*c**4 - 5/4*c**5 + 0 + 5/4*c**3 + 5/4*c**2 + 0*c.
-5*c**2*(c - 1)*(c + 1)**2/4
Let o = 758 - 5302/7. Factor 0 + 2/7*k**2 + o*k.
2*k*(k + 2)/7
Let w(i) = -3*i**2 + i. Let y(c) = -c**2. Let v(k) = 2*w(k) - 5*y(k). Factor v(m).
-m*(m - 2)
Let x(v) be the third derivative of v**5/60 - v**3/6 + 2*v**2. Let f(j) = 12*j**2 - 12*j - 24. Let z(l) = f(l) - 16*x(l). Factor z(y).
-4*(y + 1)*(y + 2)
Let i(f) = 2*f - 2. Let m be i(2). Factor -2*p + p - 3*p**2 - 3*p**4 + 2*p + m*p**4 + 3*p**3.
-p*(p - 1)**3
Suppose 0 = 4*l - 6 - 6. Let g(z) be the second derivative of -1/6*z**l + 0 + 0*z**2 - 3*z - 1/12*z**4. Factor g(c).
-c*(c + 1)
Let d(t) be the second derivative of t**6/10 - t**4/4 + 41*t. Factor d(u).
3*u**2*(u - 1)*(u + 1)
Factor -2*f**2 + f**5 + 1/2*f**3 - 3/2*f + 9/4*f**4 - 1/4.
(f - 1)*(f + 1)**3*(4*f + 1)/4
Let v(j) be the third derivative of 17*j**6/540 - 16*j**5/135 + 13*j**4/108 + 2*j**3/27 - j**2 - 8*j. Suppose v(y) = 0. What is y?
-2/17, 1
Let k = 16 - 13. Let d(h) be the third derivative of 1/240*h**5 + 0 + 1/24*h**k + 0*h - 1/48*h**4 - 4*h**2. Factor d(i).
(i - 1)**2/4
Factor -2 + 3*d**2 - 5*d - d**3 - d**4 + d - 5*d + 10*d.
-(d - 1)**2*(d + 1)*(d + 2)
Let o(x) = -2*x**2 + 5. Let u(v) = v**2 - 5. Let f(l) = l**2 - 4. Let m(b) = 4*f(b) - 3*u(b). Let w(k) = 3*m(k) + 3*o(k). Factor w(i).
-3*(i - 2)*(i + 2)
Suppose -4*u - 2*h - 11 = 19, -u - 3 = 5*h. Let s = -5 - u. Find i, given that -6*i**3 + 3*i**4 + 5*i + s*i**3 - 3*i**2 - i - i = 0.
-1, 0, 1
Let r be ((3 - (-22)/(-4)) + 2)*-4. Let x(k) be the third derivative of 1/12*k**4 - k**r + 0*k**3 - 1/30*k**5 + 0 + 0*k. Suppose x(f) = 0. What is f?
0, 1
Let x(t) be the first derivative of 0*t**4 + 2 - 1/5*t**5 + 0*t**2 + 0*t + 4/9*t**3 + 1/18*t**6. Factor x(h).
h**2*(h - 2)**2*(h + 1)/3
Let g(x) be the third derivative of -16*x**5/15 - 12*x**4 - 54*x**3 - 2*x**2 - 45*x. Factor g(p).
-4*(4*p + 9)**2
Let q(j) be the second derivative of 2*j**6/45 - 2*j**5/15 + j**4/9 + 18*j. Determine b, given that q(b) = 0.
0, 1
Let s(i) be the second derivative of -i**6/75 + 3*i**5/50 + i**4/30 - i**3/5 + 22*i. Let s(y) = 0. Calculate y.
-1, 0, 1, 3
Let s(x) be the third derivative of x**2 + 0 + 0*x + 0*x**3 + 1/20*x**5 + 1/24*x**4. Find r, given that s(r) = 0.
-1/3, 0
Let z(x) be the third derivative of x**5/60 + x**4/6 + 2*x**3/3 - 5*x**2. Let z(a) = 0. What is a?
-2
Let c(j) be the third derivative of -j**7/70 + j**6/40 + j**5/20 - j**4/8 + 7*j**2. Factor c(w).
-3*w*(w - 1)**2*(w + 1)
Let j be 4/(-24) - (-85)/150. Factor j - 2/5*x**2 + 0*x.
-2*(x - 1)*(x + 1)/5
Let a = 63 + -439/7. What is z in -a*z**3 + 0*z + 0 + 0*z**2 - 2/7*z**5 - 4/7*z**4 = 0?
-1, 0
Let w(t) be the first derivative of t**6/660 - t**4/132 - 3*t**2/2 + 3. Let q(y) be the second derivative of w(y). Find o, given that q(o) = 0.
-1, 0, 1
Find i, given that -24*i**4 - 274*i**3 + 17*i**2 - 5*i**2 - 2 + 15*i + 245*i**3 = 0.
-1, 1/8, 2/3
Let s be 4/5*(-55)/(-22). Let z(o) be the second derivative of 0*o**3 + 1/6*o**4 + o - o**s + 0. Factor z(w).
2*(w - 1)*(w + 1)
Let p = -492 + 3450/7. Let w be 0/(3 - (4 - 2)). Factor -2/7*x**2 + 2/7*x**5 - 6/7*x**4 + w + 0*x + p*x**3.
2*x**2*(x - 1)**3/7
Let s(t) be the second derivative of -t**4/12 + t**3/6 + t**2 + 2*t + 25. Factor s(n).
-(n - 2)*(n + 1)
Let z(h) be the first derivative of 0*h**2 + 0*h - 1/16*h**4 + 3 + 0*h**3. Solve z(j) = 0.
0
Let n(y) be the third derivative of -1/100*y**6 + 0*y**5 + 0*y**4 + 0*y**3 + 0 + 0*y - y**2 - 1/350*y**7. Find v such that n(v) = 0.
-2, 0
Let g(i) be the third derivative of 1/300*i**6 + 1/60*i**4 + 0*i**3 + 1/75*i**5 + 0 + 0*i - 2*i**2. Determine x, given that g(x) = 0.
-1, 0
Suppose -50*l = -47*l. Let t(u) be the first derivative of l*u**2 + 1/15*u**3 + 0*u + 0*u**4 - 1/25*u**5 + 2. Factor t(s).
-s**2*(s - 1)*(s + 1)/5
Factor 15/2*d + 6 + 3/2*d**2.
3*(d + 1)*(d + 4)/2
Let g = -7499/25 - -300. Let v(w) be the first derivative of 0*w + 0*w**2 - g*w**5 + 1/10*w**4 - 3 - 1/15*w**3. Find z, given that v(z) = 0.
0, 1
Let x(y) = -57*y**2 + 24*y + 81. Let b(r) = -7*r**2 + 3*r + 10. Let d(m) = 33*b(m) - 4*x(m). Let d(s) = 0. What is s?
-1, 2
Let k be (1 - (-6)/3) + -3. Suppose -v = -2 -