0*z**3 + z**2 = 0?
2
Let x(y) be the second derivative of 0*y**2 - 3*y + 1/3*y**3 + 0 - 3/4*y**4 + 7/20*y**5. Factor x(t).
t*(t - 1)*(7*t - 2)
Let d be 34/48 + ((-27)/72 - 0). Factor 0*i - 1/3*i**2 + d.
-(i - 1)*(i + 1)/3
Let u(c) = -2*c**2 - 6*c + 6. Let k(d) be the first derivative of -d**3 - 6*d**2 + 13*d + 2. Let x(o) = -3*k(o) + 5*u(o). Solve x(s) = 0.
3
Let j(f) = -98*f - 586. Let k be j(-6). Factor 0 + 0*q - 1/2*q**5 - q**4 - 1/2*q**3 + 0*q**k.
-q**3*(q + 1)**2/2
Suppose -s - 24 = -5*g, -g = -3*s - 1 - 1. What is v in -5*v**5 + v**4 - 4*v**5 + 5*v**5 + g*v**5 = 0?
-1, 0
Let i = -77 + 79. Determine u, given that -1/3 - 2/3*u - 1/3*u**i = 0.
-1
Suppose 4*h - 34 - 14 = 0. Factor 9*t - h*t + 3*t**3 + 0*t**3.
3*t*(t - 1)*(t + 1)
Let k(o) = o**3 - o**2 + 1. Let m(b) = 6*b**3 + 6*b**2 + 16*b + 12. Let v(s) = -4*k(s) + m(s). Determine g, given that v(g) = 0.
-2, -1
Let q(s) be the third derivative of -s**9/60480 + s**7/10080 - s**4/12 - s**2. Let v(c) be the second derivative of q(c). Factor v(g).
-g**2*(g - 1)*(g + 1)/4
Factor -4 - 8*s**2 - 740*s**3 + 0*s + 738*s**3 - 10*s.
-2*(s + 1)**2*(s + 2)
Let g(c) = -c**4 + c**2. Suppose j = -4*j - 20. Let b(n) = 5*n**4 + n**3 - 4*n**2. Let t(o) = j*g(o) - b(o). Determine i so that t(i) = 0.
-1, 0
Factor -2*j**2 - 12 + j + 9*j + 2*j**2 + 2*j**2.
2*(j - 1)*(j + 6)
Let o(m) be the first derivative of -m**6/1800 + m**5/300 - m**4/120 - 4*m**3/3 + 2. Let a(t) be the third derivative of o(t). Factor a(j).
-(j - 1)**2/5
Let k(m) = 5*m**5 - 8*m**4 + 5*m**3. Let z(x) = 11*x**5 - 17*x**4 + 11*x**3. Let p(r) = -13*k(r) + 6*z(r). Factor p(y).
y**3*(y + 1)**2
Suppose -6*z + z = -5*i, -5*z - i = -12. Determine q, given that 78*q**4 + 53*q**5 + 216*q**4 + 84*q**3 + 290*q**5 + 8*q**z = 0.
-2/7, 0
Let q(p) be the first derivative of -p**6/10 - p**5/10 + p**4/4 + p**3/3 + p - 4. Let z(b) be the first derivative of q(b). Find u, given that z(u) = 0.
-1, -2/3, 0, 1
Suppose a - 2*l - 3 = 3, 4*a + 3*l + 20 = 0. Let d be 2*(-1)/(-1) - a. Factor 2*x + 9*x**3 - 4*x**4 + 0*x**4 + x**5 + 0*x - x**d - 7*x**2.
x*(x - 2)*(x - 1)**3
Let i be (-1)/(-5) - 2/10. Suppose -2*f**2 + 2*f**2 + i*f**2 + 2*f**2 - 2*f**3 = 0. What is f?
0, 1
Let g be (-6)/(-21) - (-2946)/(-70). Let r = g + 42. Factor -1/5*l**2 + 0 - r*l.
-l*(l + 1)/5
Let v(m) be the first derivative of -5*m**4/4 - 13*m**3 - 36*m**2 + 16*m - 28. Factor v(c).
-(c + 4)**2*(5*c - 1)
Let h(z) be the second derivative of 5*z**8/1008 + 4*z**7/315 + z**6/360 - z**5/90 - 3*z**2/2 - z. Let b(c) be the first derivative of h(c). Factor b(f).
f**2*(f + 1)**2*(5*f - 2)/3
Let a(c) = c**4 + c**3 + c**2 - 1. Let b(z) = -4*z**5 - z**4 + 7*z**3 + 7*z**2 - 3. Let i(l) = -3*a(l) + b(l). Determine r so that i(r) = 0.
-1, 0, 1
Let d(h) be the second derivative of -h**7/28 - h**6/10 + h**4/4 + h**3/4 - 7*h. Factor d(n).
-3*n*(n - 1)*(n + 1)**3/2
Suppose 0 = -2*o + 2*k - 32, 4*o - 3*o + 14 = 2*k. Let j be (-232)/(-72) + 4/o. Factor -1/2*s**5 + 0*s + s**4 + 0 - 1/2*s**j + 0*s**2.
-s**3*(s - 1)**2/2
Let d(l) = l**2 + l + 1. Let c be d(0). Suppose 2*h - 7 + c = 0. Let 1/3*k + 2/3*k**2 + 0 + 1/3*k**h = 0. Calculate k.
-1, 0
Let g(x) be the third derivative of -7*x**6/30 - 23*x**5/15 - x**4 - 8*x**2. Let g(t) = 0. Calculate t.
-3, -2/7, 0
Let p(l) = 81*l**5 - 225*l**4 + 207*l**3 - 129*l**2. Let z(v) = 5*v**5 - 14*v**4 + 13*v**3 - 8*v**2. Let n(t) = 2*p(t) - 33*z(t). What is m in n(m) = 0?
0, 1, 2
Let t(a) be the first derivative of -1/20*a**5 + 0*a**3 + 0*a**2 + 0*a**4 - a - 2. Let o(b) be the first derivative of t(b). Suppose o(i) = 0. What is i?
0
Suppose -2*b + 2 = -2. Let 0*u**3 - 3*u**4 + b*u**2 - 3*u**3 - 2*u**2 = 0. Calculate u.
-1, 0
Let t(q) = -5*q**3 - 7*q**2 + q - 4. Let o(c) = -3*c**3 - 4*c**2 + c - 2. Let v(s) = -7*o(s) + 4*t(s). Suppose v(p) = 0. What is p?
-1, 2
Let u(j) be the second derivative of 0*j**2 + 0 - 3*j - 1/6*j**3 - 1/4*j**4 - 1/10*j**5. Determine n so that u(n) = 0.
-1, -1/2, 0
Let y(f) be the second derivative of 1/2*f**2 + f + 1/30*f**5 + 0*f**3 + 0 - 1/12*f**4. Let q(p) be the first derivative of y(p). Solve q(d) = 0 for d.
0, 1
Suppose 3*p - 149 = -s - s, -4*s = 8. Let a(u) = -8*u**2 - 9*u. Let z(l) = l**2 + l. Let i(j) = p*z(j) + 6*a(j). Factor i(f).
3*f*(f - 1)
Find z such that 3/5*z**3 - 3/5 - 9/5*z**2 + 9/5*z = 0.
1
Let z(f) be the third derivative of 0*f**4 + 1/10*f**5 + 0 + 0*f + 0*f**3 - 1/14*f**7 - 2*f**2 - 3/40*f**6. Factor z(a).
-3*a**2*(a + 1)*(5*a - 2)
Let u be 10/25 - 4/(-2). Factor -2/5*z**2 - 18/5 + u*z.
-2*(z - 3)**2/5
Suppose -8*z = -4*z - 24. Let r(t) = -t**5 + 2*t**4 + 6*t**3 - 2*t**2 - 5*t - 6. Let l(w) = w**3 - w - 1. Let c(x) = z*l(x) - r(x). Find u such that c(u) = 0.
-1, 0, 1
Let m be (50/(-20))/((-38)/6 + 3). What is b in 1 + m*b**3 + 1/4*b**2 - 2*b = 0?
-2, 2/3, 1
Let q(o) be the third derivative of -7*o**2 + 0*o**3 - 1/40*o**6 + 0*o + 0 - 3/8*o**4 + 1/5*o**5. Find b, given that q(b) = 0.
0, 1, 3
Let j = -20/11 + 224/99. Let g(x) be the second derivative of 0 + j*x**3 - x - 1/18*x**4 - 4/3*x**2. Factor g(z).
-2*(z - 2)**2/3
Let m(z) be the second derivative of 0 + 3*z - 1/48*z**4 - 1/8*z**2 - 1/12*z**3. Factor m(f).
-(f + 1)**2/4
What is i in 2/5*i**2 + 2/5*i**4 - 4/5 - 6/5*i**3 + 6/5*i = 0?
-1, 1, 2
Let d(a) be the second derivative of -a**10/7560 - a**9/1890 + a**7/315 + a**6/180 + 5*a**4/6 - 5*a. Let j(q) be the third derivative of d(q). Factor j(r).
-4*r*(r - 1)*(r + 1)**3
Let c = 90 + -90. Find r such that c + 1/2*r**2 + 1/2*r = 0.
-1, 0
Let j be 30*(56/(-100))/(-7) - 2. Factor -j*z**2 + 2/5 - 2/5*z**3 + 2/5*z.
-2*(z - 1)*(z + 1)**2/5
Let x = 566 + -563. Factor -3/2*y**5 - x*y**2 + 0*y**3 + 3/2*y + 3*y**4 + 0.
-3*y*(y - 1)**3*(y + 1)/2
Let j(t) be the third derivative of -t**7/2520 + t**5/360 + t**3/2 - t**2. Let a(b) be the first derivative of j(b). Factor a(i).
-i*(i - 1)*(i + 1)/3
Let c(u) = -u**3 + u**2 + u + 1. Let m(d) = 3*d**3 - 3*d**2 - 3*d - 4. Let x(b) = 7*c(b) + 2*m(b). Factor x(h).
-(h - 1)**2*(h + 1)
Let a be (-8)/52 - 94/(-104). Find o such that 0 + 0*o**2 - 3/4*o**3 + a*o = 0.
-1, 0, 1
Suppose 17 = -4*f + 5*s, -f + 3*f = 2*s - 10. Let j be 32/14 + f/28. Factor 2 - 2*l**j - 3*l + 4*l**2 - l.
2*(l - 1)**2
Let b be (-39)/(-9) - 1 - (-3 - -5). Let 6*q - 10/3*q**5 - 20/3*q**2 - 8/3*q**3 + 8*q**4 - b = 0. What is q?
-1, 2/5, 1
Let -v**4 - 8*v**2 + 5*v**2 + 2*v**2 + 2*v**2 = 0. Calculate v.
-1, 0, 1
Let r(l) be the second derivative of l**5/90 - l**4/54 - 5*l**3/27 - l**2/3 + 12*l. Factor r(y).
2*(y - 3)*(y + 1)**2/9
Let l(z) = z - 5. Let s be l(7). Suppose s*c - 7*c = -15. Factor 6*t**4 + 2*t**2 + 0*t**c - 7*t**4 + t**3.
-t**2*(t - 2)*(t + 1)
Let u be 0*(-2*2 + 3). Let j(s) be the second derivative of -1/48*s**4 - s + u*s**2 + 0 + 0*s**3 + 1/40*s**6 + 1/40*s**5. Factor j(r).
r**2*(r + 1)*(3*r - 1)/4
Let f be -2*(3/3 + 0)*-1. Let y = -1/153 - -205/153. Factor 8/3*g - 16/9 + 2/9*g**3 - y*g**f.
2*(g - 2)**3/9
Let w be (-120)/(-80)*(-1 + (-7)/(-3)). Factor 1/4*t**w + 0 - 1/4*t.
t*(t - 1)/4
Let f(o) = -o**2 - o - 1. Let a(g) = 3*g**2 + 48*g + 123. Let x(p) = a(p) - 2*f(p). Factor x(h).
5*(h + 5)**2
Let l(f) = f**2 - 2*f - f**3 + 0*f + 3*f. Let t(n) = 7*n**3 - 3*n**2 - n. Let h(w) = -18*l(w) - 2*t(w). Suppose h(o) = 0. Calculate o.
-1, 0, 4
Factor 9*u**2 - 2 - 4 - 8*u**2 + 2.
(u - 2)*(u + 2)
Suppose -2*d = -5*d + 9. What is x in -6*x**2 + 3*x + 3*x**d + 0 + 0 = 0?
0, 1
Let b = -401/2 + 201. Factor -1 + b*i + 37/2*i**2 - 18*i**3.
-(i - 1)*(4*i - 1)*(9*i + 2)/2
Suppose 0 = 2*n + 6. Let v be (-1)/(n/(-2)) - -1. Factor -v - 1/3*q**2 - 2/3*q.
-(q + 1)**2/3
Let y(a) be the third derivative of -a**7/168 - a**6/96 + a**5/16 + 25*a**4/96 + 5*a**3/12 - 28*a**2. Factor y(b).
-5*(b - 2)*(b + 1)**3/4
Suppose 4*o - 80 = -4*w, 2*w = 3*o - 0*w - 60. Suppose -o = -6*l + l. What is d in -6/7*d**l - 10/7*d**3 + 10/7*d + 4/7 + 2/7*d**2 = 0?
-1, -2/3, 1
Let o(d) be the second derivative of 7*d**6/15 + d**5/5 - 7*d**4/6 - 2*d**3/3 + 13*d. Solve o(l) = 0.
-1, -2/7, 0, 1
Let f(r) be the second derivative of r**6/360 - r**5/180 - r**4/36 - 3*r**2/2 - r. Let w(t) be the first derivative of f(t). Factor w(j).
j*(j - 2)*(j + 1)/3
Suppose 0 = a + 36 + 36. Let o be a/243*3/(-4). Solve -4/9*b**4 + o*b**5 + 2/9*b**3 + 0*b**2 + 0 + 0*b = 0 for b.
0, 1
Find p such that 