*(u - 1)*(u + 1)
What is u in u**5 + u**4 - 36*u**3 + 38*u**3 - 4*u**4 + 0*u**4 = 0?
0, 1, 2
Let n be 9/(4 + 0 - 3). Factor 3 + 9*h**3 + 0*h**5 - 3*h**2 - 3 + 3*h**5 - n*h**4.
3*h**2*(h - 1)**3
Let x = 1409/3 + -465. Determine r, given that 0 + 4/3*r + 2*r**4 + x*r**2 + 16/3*r**3 = 0.
-1, -2/3, 0
Determine w, given that -2*w**2 + w**3 - 2*w**2 + 2*w**4 + 2 - 2*w + 3*w**3 - 2*w**5 + 0*w = 0.
-1, 1
Let t = -10/27 + 178/189. Suppose -2*n = a - 2, a + 3*n - 3 = -0*a. Factor 6/7*d + a*d**2 - 2/7*d**3 + t.
-2*(d - 2)*(d + 1)**2/7
Suppose d - 5 = -5*n, d - 2*d = -4*n + 4. Suppose -2*k - 3*k = d. Factor 0 + 16/3*c**3 + 3*c**5 + 4/3*c**2 + 7*c**4 + k*c.
c**2*(c + 1)*(3*c + 2)**2/3
Let a = 80 + -397/5. Factor 0 + a*p - 3/5*p**4 + 3/5*p**2 - 3/5*p**3.
-3*p*(p - 1)*(p + 1)**2/5
Let h(c) be the first derivative of -3*c**4 - 4*c**3/3 - 5. What is l in h(l) = 0?
-1/3, 0
Let k(w) be the second derivative of w**7/168 + w**6/120 - w**5/80 - w**4/48 - 6*w. Determine h, given that k(h) = 0.
-1, 0, 1
Let v be -4*3/(-12)*19. Let y = v - 2. Find t, given that -16*t**3 - 6*t**4 - 4 + 6 - y*t**2 + 5*t**2 = 0.
-1, 1/3
Let j be 4/(-40)*3*-4. Factor 1/5*d**4 + j*d**2 + 1/5 + 4/5*d + 4/5*d**3.
(d + 1)**4/5
Let w = 1/775 + 771/3100. Let -1/2*m - w*m**3 - 3/4*m**2 + 0 = 0. What is m?
-2, -1, 0
Let i(h) be the first derivative of -h**5/60 + h**4/12 - h**3/6 + h**2/6 + 2*h + 2. Let t(b) be the first derivative of i(b). Factor t(j).
-(j - 1)**3/3
Let z(r) be the third derivative of r**8/80640 + r**5/10 - 5*r**2. Let d(j) be the third derivative of z(j). Solve d(q) = 0.
0
Suppose -75 + 84 = 3*l. Let 0*j**2 - 2/11*j**5 + 4/11*j**l - 2/11*j + 0 + 0*j**4 = 0. Calculate j.
-1, 0, 1
Let f(c) = 75*c**4 - 112*c**3 - 120*c**2 + 53*c. Let n(x) = -25*x**4 + 37*x**3 + 40*x**2 - 18*x. Let a(j) = -2*f(j) - 7*n(j). Solve a(i) = 0.
-1, 0, 2/5, 2
Let z be (-2)/(-5) + 13/5. Suppose 16*i**2 - 5*i**z - i**5 + 2 - 6*i - 3*i + 6*i**4 - 9*i**3 = 0. What is i?
1, 2
Let l(w) be the second derivative of -w**6/45 + 2*w**5/15 - w**4/6 - 2*w. Factor l(n).
-2*n**2*(n - 3)*(n - 1)/3
Let b = -26 + 8. Let c = -88/5 - b. Factor 0 + 0*g**2 - 2/5*g + c*g**3.
2*g*(g - 1)*(g + 1)/5
Let r(y) = y**4 - y**3 + y**2 - y. Let o(v) = v**3 + 2*v**2 - 3*v. Let x(c) = o(c) - r(c). Factor x(t).
-t*(t - 2)*(t - 1)*(t + 1)
Let v(z) be the third derivative of z**8/504 - 2*z**7/105 + 2*z**6/45 + z**5/45 - z**4/4 + 4*z**3/9 + 19*z**2. Factor v(s).
2*(s - 4)*(s - 1)**3*(s + 1)/3
Let x(q) be the third derivative of 0*q + 0 - q**2 + 1/20*q**5 - 1/12*q**4 - 1/120*q**6 + 0*q**3. Factor x(i).
-i*(i - 2)*(i - 1)
Let s(n) be the third derivative of -1/10*n**6 - 2/105*n**7 + 0*n - 2*n**2 + 1/15*n**5 + 0*n**4 + 1/28*n**8 + 0 + 0*n**3. Solve s(o) = 0 for o.
-1, 0, 1/3, 1
Let s(i) be the second derivative of 3*i**5/100 - i**4/12 + i**3/15 - 9*i. Find g such that s(g) = 0.
0, 2/3, 1
Suppose -3*k + 22 = 4*l + 2*k, k - 14 = -2*l. Let t be 2/l + (-150)/(-40). Let -1/3*u**t + 0 - 4/3*u**2 + 0*u + 4/3*u**3 = 0. Calculate u.
0, 2
Let t(b) be the second derivative of b**10/30240 + b**9/15120 - b**8/6720 - b**7/2520 + b**4/6 - b. Let w(v) be the third derivative of t(v). Factor w(h).
h**2*(h - 1)*(h + 1)**2
Let l(x) = 4*x + 8. Let t be l(-4). Let i be t/(-10)*(-45)/(-54). Factor 1/3*r**4 + 0 + r**3 + i*r**2 + 0*r.
r**2*(r + 1)*(r + 2)/3
Let r = -781/402360 + 3/958. Let z(l) be the third derivative of 2*l**2 + 0 + 0*l**5 + 1/240*l**6 + 0*l - r*l**7 - 1/48*l**4 + 1/24*l**3. Solve z(f) = 0.
-1, 1
Suppose 8 = -2*a + 4. Let d(u) = -u**2 + u + 2. Let f(i) be the second derivative of i**4/12 - i**2/2 + i. Let g(r) = a*d(r) - 4*f(r). Factor g(c).
-2*c*(c + 1)
Let t(d) be the first derivative of 14*d**3/3 + 16*d**2 + 8*d + 6. Factor t(g).
2*(g + 2)*(7*g + 2)
Let y(c) = 70*c**2 + 25*c. Let z(g) = 23*g**2 + 8*g. Let i(q) = 2*y(q) - 7*z(q). Find a such that i(a) = 0.
-2/7, 0
Let y = 7 + -5. Suppose -105*a + 288 = -27. Let 2/3*q - 2/3*q**y + 0 - 2/3*q**a + 2/3*q**4 = 0. Calculate q.
-1, 0, 1
Suppose -2*m = -3*t + 3 - 0, 2*t = 6. Suppose -4*c - m = -15. Factor -c*j - 3/2 - 3/2*j**2.
-3*(j + 1)**2/2
Suppose -5*h + 80 = 5*j, 2*h - 3*j - 72 = -h. Let g be 22/h - (-3)/(-5). Find p, given that -2*p + g*p**2 + 2 = 0.
2
Suppose o + 2*o - 2*w - 8 = 0, o = 2*w. Suppose 5*l**3 + 3*l**2 + l**4 + l**3 + 2*l**o = 0. What is l?
-1, 0
Let o(w) be the second derivative of -w**4/48 - w**3/6 + 19*w. Factor o(p).
-p*(p + 4)/4
Let i(j) = 0*j - j**2 + j - 4 + 5 + 0*j**2. Let d(p) = 9*p**2 - 21*p - 5. Let f(a) = -d(a) - 5*i(a). Factor f(s).
-4*s*(s - 4)
Let m(u) be the third derivative of -u**5/20 - u**4 - 8*u**3 + u**2. Factor m(z).
-3*(z + 4)**2
Let s = 11 + -7. Let c = 6 - s. Factor -2*w**c + 0*w**2 + 6*w - w**2 - 3.
-3*(w - 1)**2
Suppose 2*z - 11 = -3*t, t - z - 2 = -0*t. Solve -2/3*q**2 + 2/3 - 2/3*q**t + 2/3*q = 0 for q.
-1, 1
Suppose -r = r. Suppose r*k = 3*k. Factor -2/5*c**2 + 2/5*c**3 + k*c + 0.
2*c**2*(c - 1)/5
Let v(p) be the first derivative of -p**5/10 - p**4/12 + 2*p**3/3 - 3*p**2 + 2. Let n(u) be the second derivative of v(u). Factor n(k).
-2*(k + 1)*(3*k - 2)
Let i(f) be the first derivative of f**3/5 + 3*f**2/5 + 2. Find c, given that i(c) = 0.
-2, 0
Let k be (-19)/(-20) - 18/24. Let v(s) be the first derivative of 0*s + 0*s**2 - 1/4*s**4 + k*s**5 - 1/3*s**3 - 1 + 1/6*s**6. Solve v(g) = 0.
-1, 0, 1
Let t = 135946/135 + -1007. Let k(p) be the third derivative of 0*p + 0*p**3 + 3*p**2 + 0 - 11/270*p**5 + 4/135*p**6 - t*p**7 + 1/54*p**4. Factor k(u).
-2*u*(u - 1)**2*(7*u - 2)/9
Let m(l) be the second derivative of l**7/1960 - l**6/280 + l**4/14 + 2*l**3/3 + 2*l. Let y(j) be the second derivative of m(j). Factor y(w).
3*(w - 2)**2*(w + 1)/7
Let v(j) = -j**2 - j + 4. Let i be v(0). Let g(o) = o**2 + 3*o + 2. Let w be g(-3). Factor -w - 2*h**4 + i*h**2 - h + h.
-2*(h - 1)**2*(h + 1)**2
Let j(u) be the second derivative of 2*u**3 - 10*u + 0 - 1/3*u**4 + 0*u**2. Factor j(c).
-4*c*(c - 3)
Let o = 0 + 2. Suppose -o*d = -4*d. What is x in -x**2 + 3/2*x**3 - x**4 + 1/4*x + d + 1/4*x**5 = 0?
0, 1
Let p(y) be the second derivative of -3*y**5/100 + y**4/20 + y**3/10 - 3*y**2/10 + 2*y + 1. Factor p(i).
-3*(i - 1)**2*(i + 1)/5
Let l(k) be the second derivative of -3*k**6/20 - 3*k**5/10 + k**4/12 + k**3/3 - k**2/4 + 15*k. Let l(j) = 0. What is j?
-1, 1/3
Let v(i) be the second derivative of -i**4/4 - 2*i**3 - 9*i**2/2 - 2*i - 14. Solve v(q) = 0.
-3, -1
Let w = 8 - 6. Determine u so that u**3 + w - 2*u**3 + u**2 + u - 3*u**2 = 0.
-2, -1, 1
Factor 2/11*q**3 + 0*q**2 + 0*q + 0 - 2/11*q**4.
-2*q**3*(q - 1)/11
Let s be ((-1)/(-42))/(78/12). Let a(o) be the second derivative of s*o**7 + 2*o + 1/65*o**6 + 0*o**2 + 1/78*o**4 + 3/130*o**5 + 0*o**3 + 0. Factor a(d).
2*d**2*(d + 1)**3/13
Let h be (-2)/(-3) + 4/3. Factor i**h + 0*i**3 - i**2 - 6*i**2 + 3*i**3 + 3*i.
3*i*(i - 1)**2
Let c(u) be the third derivative of -u**6/180 + u**4/36 + 15*u**2. Determine a, given that c(a) = 0.
-1, 0, 1
Let d = 2 + -2. Let s = 6/17 + -7/68. Factor d + 1/4*a**2 - s*a.
a*(a - 1)/4
Let a(n) = -n**2 + n. Let m(j) = -5*j**2 + 11*j + 4. Let g(r) = 6*a(r) - m(r). Factor g(b).
-(b + 1)*(b + 4)
Determine y, given that -1/2*y**3 - 1/2*y**2 + 0 + 0*y = 0.
-1, 0
Let u = -189958 - -37611763/198. Let z = u + 1/22. Suppose 2/9*x**5 - z*x**2 + 0*x**3 + 4/9*x**4 - 2/9*x + 0 = 0. Calculate x.
-1, 0, 1
Let i be 180/(-14)*(-28)/6. Let g be (-1)/(-2) + 50/i. Determine c, given that -1/3*c**3 - c**2 + 0*c + g = 0.
-2, 1
Suppose 2*k = 11*c - 15*c - 4, 0 = k - 2*c - 6. Find f such that -4/5*f**k + 2/5*f**4 - 2/5*f - 2/5*f**5 + 4/5*f**3 + 2/5 = 0.
-1, 1
Let y(o) be the first derivative of o**6/9 - o**4/3 + o**2/3 + 3. Factor y(m).
2*m*(m - 1)**2*(m + 1)**2/3
Let o(v) be the second derivative of 1/12*v**4 + 0 - v**2 + v - 1/6*v**3. Factor o(z).
(z - 2)*(z + 1)
Let o = -103 - -106. Let y(l) be the first derivative of -2 - 1/9*l**o + 0*l**2 + 1/3*l. Factor y(b).
-(b - 1)*(b + 1)/3
Let k(o) = 3*o**5 - 2*o**4 - 4*o**3 + 5*o**2 + 2*o - 3. Let y(u) = -u**5 - u**2 + 1. Let r(q) = -k(q) - y(q). Factor r(l).
-2*(l - 1)**3*(l + 1)**2
Let f be 15/6 - (-1)/2. Suppose 3*l = -9, 0 + f = 3*g + l. Factor -1/2*h**3 + 0*h**g + 0 + 1/2*h.
-h*(h - 1)*(h + 1)/2
Suppose -8 = w - 28. Let f be (-1 - w/(-16)) + 0. Determine y so that 0 - 1/4*y + f*y**4 + 1/