t q be u(-2). Suppose -q*r + 2*r = 0. Factor 2/3*w**4 + r*w**3 + 0 + 0*w**2 - 2/3*w**5 + 0*w.
-2*w**4*(w - 1)/3
Let u(o) be the second derivative of -o**4/9 + 8*o**2/3 - 3*o. Factor u(k).
-4*(k - 2)*(k + 2)/3
Let b(a) be the third derivative of -a**8/1008 - a**7/1260 + 7*a**6/720 - a**5/360 - 5*a**4/144 + a**3/18 - 8*a**2. What is p in b(p) = 0?
-2, -1, 1/2, 1
Find r such that -2*r**2 - 10/3*r**3 + 2/3*r + 2/3 - 4/3*r**4 = 0.
-1, 1/2
Solve 7 - 2*w**2 + 16*w - 3 + 6*w**2 + 12 = 0 for w.
-2
Let 0 - 1/2*p - 3/4*p**2 - 1/4*p**4 - 3/4*p**5 + 9/4*p**3 = 0. Calculate p.
-2, -1/3, 0, 1
Let b(a) be the first derivative of a**6/36 + 2*a**5/15 + a**4/24 - 5*a**3/9 - a**2/3 + 4*a/3 + 4. Solve b(c) = 0 for c.
-2, 1
Let q(a) = 5*a**5 + 2*a**4 + 3*a**3 - 10*a**2 + 2*a + 6. Let s(y) = y**5 - y**2 + y + 1. Let r(v) = -q(v) + 6*s(v). Let r(j) = 0. Calculate j.
-1, 0, 2
Let p be 0/(0 + 3 - 2). Let j(t) be the first derivative of 1/2*t**2 + 16/5*t**5 + 6*t**4 + 1 + p*t + 3*t**3. Suppose j(c) = 0. What is c?
-1, -1/4, 0
Suppose 5 = q + 2. Let -8*k**4 - q*k - 20*k**3 - 4*k - 16*k**2 + 3*k = 0. Calculate k.
-1, -1/2, 0
Suppose -16 = -5*r + 9. Find l, given that l**3 + l**3 - 2*l**r + 4 - 4 = 0.
-1, 0, 1
Let s(a) be the first derivative of a**4/5 - 44*a**3/15 + 38*a**2/5 - 36*a/5 - 35. Factor s(u).
4*(u - 9)*(u - 1)**2/5
Let k be (-2)/4 + 18/4. Suppose -9 = -k*w - 1. Suppose 2*c + c**5 - 1 - 4*c**4 + 4*c**w - 3*c**5 + 1 = 0. Calculate c.
-1, 0, 1
Let m(u) be the first derivative of 3/11*u**2 + 1/22*u**4 + 2/11*u**3 + 2/11*u + 3. Factor m(k).
2*(k + 1)**3/11
Suppose 2*t + q = 5 - 4, -t + 3*q = -18. Let z be (-5)/(-6)*(-56)/(-105). Factor 0*s**4 - z*s**2 + 0 + 2/3*s**t + 0*s - 2/9*s**5.
-2*s**2*(s - 1)**2*(s + 2)/9
Let p be 24/(-18)*3/(-2). Find m, given that 4 + 0*m**2 + 5*m**3 - 4*m**2 - 3*m**3 - p*m = 0.
-1, 1, 2
Let i be ((-17)/((-255)/(-6)))/(7/(-10)). Find k, given that -i*k**2 + 2/7*k**3 + 2/7*k + 0 = 0.
0, 1
Let y = 8 - 4. Let -3*l**2 + y*l**2 - 3*l - 3*l + 5*l = 0. Calculate l.
0, 1
Suppose -16*h - 6*h = 0. Factor 0*d + 2/7*d**3 + 0 + h*d**2 - 2/7*d**4.
-2*d**3*(d - 1)/7
Let j(m) = -m**3 - 5*m**2 - 6*m - 4. Let i(y) = -y. Let k(w) = -2*i(w) - j(w). Factor k(b).
(b + 1)*(b + 2)**2
Let k(h) be the first derivative of 0*h - 2/15*h**3 + 1/10*h**4 + 1 + 0*h**2. Determine i, given that k(i) = 0.
0, 1
Suppose -13 = o - 5*l, 6*l + 2 = -5*o + 10*l. Let s(i) be the third derivative of 0 - 1/210*i**5 + 0*i - i**o + 2/21*i**3 + 1/84*i**4. Factor s(v).
-2*(v - 2)*(v + 1)/7
Let c(u) = -9*u - 277. Let j be c(-31). Let -2/3*k**j + 2/9*k + 0 + 2/3*k**3 - 2/9*k**4 = 0. What is k?
0, 1
Let y = 0 - -3. Suppose 4*x = -5*l + 20, -y*l + 17 = 5*x - 8. Determine g, given that -1/3*g**2 + l*g + 1/6*g**4 + 0 + 1/6*g**3 = 0.
-2, 0, 1
Let f(s) be the third derivative of -s**8/336 - s**7/105 + s**5/30 + s**4/24 - 24*s**2. Let f(p) = 0. Calculate p.
-1, 0, 1
Let 4*z - 8*z + 1 - 1 + 4*z**2 - 4*z**4 + 4*z**3 = 0. What is z?
-1, 0, 1
Let o(a) = 2*a**4 + 7*a**3 - 8*a**2 - a + 6. Let v(h) = 10*h**4 + 36*h**3 - 40*h**2 - 4*h + 30. Let j(s) = 16*o(s) - 3*v(s). Factor j(d).
2*(d - 1)**2*(d + 1)*(d + 3)
Let c(d) be the first derivative of -d**6/30 + d**5/25 + d**4/20 - d**3/15 + 1. Determine a so that c(a) = 0.
-1, 0, 1
Let y(h) = -h**2 - h. Let z be -3 - (-5)/(5/2). Let r(c) = -4*c**2 - 4*c. Let v(s) = z*r(s) + 2*y(s). Factor v(k).
2*k*(k + 1)
Let h be (3 - 2)*0/4. Let i(u) be the second derivative of -1/105*u**6 + 1/70*u**5 + 0*u**2 + 0 + 0*u**3 + h*u**4 - 2*u. Factor i(t).
-2*t**3*(t - 1)/7
Let t = -29 + 32. Let p(r) be the first derivative of 2/9*r**2 + 0*r + 2/9*r**t - 2 + 1/18*r**4. Factor p(s).
2*s*(s + 1)*(s + 2)/9
Let x(t) = -t - 4. Let v be x(-5). Solve 0*k - k**2 - 2*k + 0*k - v = 0 for k.
-1
Let i = -2 + 1. Let l = i - -4. Determine d so that -2*d**2 + d - l*d**2 + 2 + 4*d**2 = 0.
-1, 2
Let m(b) = -b**3 + 6*b**2 + 7*b - 9. Let j be m(6). Let u be j/36 + 2/(-8). Find z such that 10/3*z - 8/3*z**2 - u = 0.
1/4, 1
Factor -28/13*u**3 - 4/13*u + 0 - 22/13*u**2.
-2*u*(2*u + 1)*(7*u + 2)/13
Suppose -107*v + 20 = -97*v. Factor 0*h**v + 0 - 2/7*h + 2/7*h**3.
2*h*(h - 1)*(h + 1)/7
Let f(z) be the first derivative of 25*z**6/6 + 18*z**5 + 55*z**4/2 + 40*z**3/3 - 15*z**2/2 - 10*z - 29. Solve f(a) = 0.
-1, 2/5
Suppose -2*c + 3*m = c - 21, -2*m = 2*c - 2. Let y(a) be the first derivative of -3 + 1/6*a**2 + 1/12*a**c - 2/9*a**3 + 0*a. Factor y(q).
q*(q - 1)**2/3
Let s(f) be the third derivative of -f**6/30 + 2*f**5/15 - f**4/6 + 31*f**2. Find m, given that s(m) = 0.
0, 1
Let t(s) be the third derivative of s**7/1260 + s**6/720 - s**5/120 - 5*s**4/144 - s**3/18 + 24*s**2. Factor t(f).
(f - 2)*(f + 1)**3/6
Let a(r) = -8*r**2 - 9*r + 7. Let g(q) = -q**2 - q + 1. Let b(c) = 3*a(c) - 21*g(c). Suppose b(v) = 0. What is v?
-2, 0
Factor -4/7*f**2 - 2/7*f + 0*f**3 + 2/7*f**5 + 4/7*f**4 + 0.
2*f*(f - 1)*(f + 1)**3/7
Let h(u) be the second derivative of -u**4/60 - u**3/10 - u**2/5 - 2*u. Determine k so that h(k) = 0.
-2, -1
Let d(m) = 15*m**4 + 21*m**2 - 2 - 1 + 21*m**3 + 9*m**3. Let a(y) = -16*y**4 - 31*y**3 - 22*y**2 + y + 4. Let t(k) = 3*a(k) + 4*d(k). Factor t(l).
3*l*(l + 1)**2*(4*l + 1)
Let z be (9/12)/(135/6). Let u(v) be the second derivative of -z*v**4 - 2*v + 0 + 0*v**3 + 1/5*v**2. Determine a, given that u(a) = 0.
-1, 1
Suppose 22 = 5*o - 68. Let q be 32/o + 2/9. Find v, given that 5*v + 0*v**2 - q*v**2 - 3*v = 0.
0, 1
Suppose 2*l - 4 = -0. Factor -8*f**3 + l*f**4 - 12*f**2 + 0 - 8*f - 6*f**4 - 2 + 2*f**4.
-2*(f + 1)**4
Let w be (-1)/(-6) + (-1509)/90. Let d = w + 17. Factor 0 + 0*i**4 + 0*i**2 + d*i**5 - 4/5*i**3 + 2/5*i.
2*i*(i - 1)**2*(i + 1)**2/5
Let f(m) be the third derivative of -m**8/5040 + m**6/540 - m**4/72 + m**3 - 10*m**2. Let a(y) be the first derivative of f(y). Solve a(k) = 0.
-1, 1
Let u(s) = s - 4. Let c be u(6). Let d(n) be the first derivative of 0*n + 1/6*n**4 + 1 - 1/9*n**c - 4/27*n**3. Factor d(i).
2*i*(i - 1)*(3*i + 1)/9
Suppose 0 = -2*k - 3*s - 1, 3*k = -0*k + 2*s - 8. Let b = k - -4. Factor -b*z**2 + 6*z - 6*z.
-2*z**2
Let g = 7 - 1. Let z = -6 + g. Suppose 1/4*w**3 + 0*w + z - 1/4*w**2 = 0. Calculate w.
0, 1
Suppose 2*y + 16 = 3*k, 4*k - y = -11 + 24. Find t such that -2*t**2 - 4*t - 7 + k*t - 6*t - 1 = 0.
-2
Let r(p) be the second derivative of 3*p**5/140 - 3*p**4/14 + 5*p**3/14 + 22*p - 1. Factor r(c).
3*c*(c - 5)*(c - 1)/7
Suppose 0 = 16*s + 7 - 39. Factor 0 - 2/7*q**s + 2/7*q**3 + 0*q.
2*q**2*(q - 1)/7
Let x(o) be the third derivative of 3*o**2 - 2/3*o**3 - 1/60*o**5 + 1/6*o**4 + 0 + 0*o. Factor x(j).
-(j - 2)**2
Suppose -6*r = -5*r - 3. Factor -4*u**4 + 3*u**r - 1/2*u + 3/2*u**5 + 0 + 0*u**2.
u*(u - 1)**3*(3*u + 1)/2
Let n(h) be the first derivative of 0*h**4 + 0*h + 0*h**2 + 1/20*h**5 - 2 - 1/12*h**3. Factor n(f).
f**2*(f - 1)*(f + 1)/4
Let o be 208/(-48) + (1 - (-4)/1). Factor 2/3*x - o*x**2 + 0.
-2*x*(x - 1)/3
Let s(r) be the first derivative of -9*r**4/4 + 10*r**3 + 27*r**2/2 - 12*r - 5. Factor s(j).
-3*(j - 4)*(j + 1)*(3*j - 1)
Let t(q) be the first derivative of -3*q**4/8 - 5*q**3/6 - 7*q**2/12 - q/6 + 11. Factor t(a).
-(a + 1)*(3*a + 1)**2/6
Let q(n) be the first derivative of 1/4*n**2 + 1/12*n**3 + 2 + 1/4*n. Factor q(y).
(y + 1)**2/4
Let y(x) be the third derivative of -1/60*x**5 + 0 + 3*x**2 + 0*x**4 + 1/6*x**3 + 0*x. Factor y(m).
-(m - 1)*(m + 1)
Let v = -5 + 0. Let d(f) = -11*f**5 - 2*f**4 - f**3 - 4*f**2. Let r(y) = -10*y**5 - 3*y**4 - y**3 - 3*y**2. Let w(k) = v*d(k) + 6*r(k). Solve w(m) = 0.
-1, 0, 2/5
Let f(j) = -j**2 - j + 1. Let l(s) = -14*s**3 + 22*s**2 - 4. Let n(k) = -k**2 - 8*k - 8. Let g be n(-8). Let c = -4 - g. Let w(u) = c*f(u) + l(u). Factor w(y).
-2*y*(y - 1)*(7*y - 2)
Suppose 2*i + 0 = 4. Solve i*f - 4 - 3*f**2 + 4*f + 1 = 0.
1
Factor 0 + 2/3*w**2 - 4/3*w.
2*w*(w - 2)/3
Let l(k) be the third derivative of k**8/560 - k**7/70 + 9*k**6/200 - 7*k**5/100 + k**4/20 - 4*k**2. Factor l(c).
3*c*(c - 2)*(c - 1)**3/5
Factor 9/4*r + 1/4*r**4 + 15/4*r**2 + 7/4*r**3 + 0.
r*(r + 1)*(r + 3)**2/4
Let n(y) = 10*y**3 - 11*y**2 + 4*y + 3. Let w(g) = -10 - 5*g**2 - 4*g - 30*g**3 + 37*g**2 - 8*g. Let l(x) = -10*n(x) - 3*w(x). Factor l(s).
-2*s*(s - 1)*(5*s - 2)
Factor -8/15*b + 2/15*b**3 + 0*b**2 + 0.
2*b*(b - 2)*(b + 2)/15
Let r(k) = 5*k - 1. Let v be r(-1). 