3)*(2*s + 1)
Let l(u) be the second derivative of -u**4/24 + u**3/6 - u**2/4 - 7*u. Factor l(s).
-(s - 1)**2/2
Let u = 5 + -5. Suppose 2*v + 2*d = 4, v + 3*v - 5*d - 44 = u. Suppose 2*m + 12*m**2 + 6*m + 2*m**4 - 16 + 6*m**3 - v*m**3 - 10*m**3 = 0. Calculate m.
-1, 2
Let x(n) be the third derivative of 0 + 0*n + 1/240*n**6 + 1/24*n**4 + 0*n**3 - 8*n**2 + 1/40*n**5. Factor x(j).
j*(j + 1)*(j + 2)/2
Let a(p) = 3*p**2 + 2*p + 5. Let k(v) = -5*v**2 - 3*v - 8. Let g(s) = -8*a(s) - 5*k(s). Factor g(h).
h*(h - 1)
Let p(u) be the first derivative of 2*u**5/5 + 2*u**4 + 10*u**3/3 + 2*u**2 - 10. Solve p(a) = 0 for a.
-2, -1, 0
Let x(g) = -g - 2. Let n be x(-6). What is p in -2*p**2 - 2*p - 2*p + 2*p - n*p - 4 = 0?
-2, -1
Let d be (40/35)/((-2)/(-7)). Let a be 42/15 + 8/d. Factor -156/5*u**2 + 0 + 75*u**5 + 15*u**4 - 54*u**3 - a*u.
3*u*(u - 1)*(5*u + 2)**3/5
Suppose -2*x + 464 = 456. Determine c, given that 0 + 10/9*c**2 + 2/9*c**x + 4/9*c + 8/9*c**3 = 0.
-2, -1, 0
Let i(u) = -u. Let j be 15/10*4/(-3). Let n be i(j). Find l, given that 0*l**2 + n*l**2 + 0*l**2 - 3*l**2 + 1 = 0.
-1, 1
Let k be ((-4)/6)/((-3)/9). Let q = k + 0. Solve 0 - 6/7*y**q - 6/7*y**5 + 2*y**4 + 4/7*y - 6/7*y**3 = 0 for y.
-2/3, 0, 1
Let q(u) be the first derivative of 3 + 1/4*u**6 - 1/4*u**2 - 1/2*u**5 - 1/4*u**4 + u**3 - 1/2*u. Find d, given that q(d) = 0.
-1, -1/3, 1
Let u be ((-30)/8)/((-1)/(-8)). Let x be ((-2)/(-15))/((-6)/u). What is t in x - 4/3*t + 2/3*t**2 = 0?
1
What is y in 17*y - 3*y**2 + 0*y - 35*y = 0?
-6, 0
Let f = -17 + 20. Find x, given that -2/7*x**4 + 4/7*x**2 + 4/7*x**f - 2/7 - 2/7*x**5 - 2/7*x = 0.
-1, 1
Let 0 + 0 - 4*n + n**2 + 5 - 1 = 0. What is n?
2
Let t(g) be the first derivative of g**6/420 - g**5/70 + g**4/42 + g**2/2 - 2. Let n(z) be the second derivative of t(z). Let n(a) = 0. Calculate a.
0, 1, 2
Suppose 2*b + 4*t = 7*b - 57, -2*b - 2*t = -12. Suppose -4*d = 3*c - 2*c, -d = -2*c + b. Let 2/9 + 0*r**3 + 0*r - 4/9*r**2 + 2/9*r**c = 0. What is r?
-1, 1
Factor 0 + 5/2*r + 1/2*r**2.
r*(r + 5)/2
Let n(l) be the first derivative of -l**9/1512 + l**7/420 + l**3/3 + 1. Let y(c) be the third derivative of n(c). Let y(s) = 0. Calculate s.
-1, 0, 1
Let l = -40 - -40. Let v(r) be the second derivative of 2*r + 0*r**5 + 2/15*r**6 + l*r**2 - 1/3*r**4 + 1/21*r**7 - 1/3*r**3 + 0. Factor v(k).
2*k*(k - 1)*(k + 1)**3
Let o be ((0 + -3)/(-3))/(-1). Let r be -4*(0 + o)/2. Factor -1/4 + 1/2*l**3 + 3/4*l**4 - 3/4*l - 1/2*l**r + 1/4*l**5.
(l - 1)*(l + 1)**4/4
Let b(x) be the second derivative of x + 0 + 1/168*x**7 + 1/12*x**4 + 0*x**3 + 0*x**2 - 1/40*x**6 + 0*x**5. Factor b(p).
p**2*(p - 2)**2*(p + 1)/4
Factor 2 + 4*z**3 + z + 0 + 7*z + z**2 + 9*z**2.
2*(z + 1)**2*(2*z + 1)
Let q(x) be the first derivative of -1 + 2/9*x**3 + 0*x + 1/3*x**2. Let q(b) = 0. What is b?
-1, 0
Let v(a) be the third derivative of a**6/480 - a**5/48 - a**4/96 + 5*a**3/24 - 11*a**2. Factor v(d).
(d - 5)*(d - 1)*(d + 1)/4
Let f(d) be the second derivative of 3*d**5/20 + 3*d**4/4 - 6*d**2 - 46*d. Determine l, given that f(l) = 0.
-2, 1
Let f(u) = -u**3 + 2*u**2 + 4*u + 1. Let g be f(3). Factor 26/3*v**3 + 0 - 8*v**2 - g*v**4 + 8/3*v + 2/3*v**5.
2*v*(v - 2)**2*(v - 1)**2/3
Suppose -47 = 3*x - t, 0 = 3*t - 3 - 12. Let w = -10 - x. Find i, given that 2*i**2 - 2*i - 1 - i**2 + w - 2 = 0.
1
Determine b so that -9 - 31*b + 1 - 4*b**2 + 43*b = 0.
1, 2
Suppose 0 = -2*r - 2*v - 14, 7 + 3 = -5*v. Let g(w) = -w**3 - 4*w**2 + 5*w + 1. Let s be g(r). Solve s + 3*h**2 - 4*h**2 + h**3 + h + 0*h**2 - 2*h = 0.
-1, 1
Let s be -2 + 1/2*-2. Let a(z) = z**4 - 2*z**3 + z**2. Let i(c) = -c**3 + c**2. Let k(t) = s*i(t) + a(t). Determine y so that k(y) = 0.
-2, 0, 1
Let t(f) = -6*f + 3. Let v be t(-1). Factor -2 + 2*r**2 - 9*r**2 + v*r**2 - 2*r + 2*r**3 + 0.
2*(r - 1)*(r + 1)**2
Let y(k) be the first derivative of 10*k**3/57 - 8*k**2/19 - 8*k/19 - 5. Factor y(s).
2*(s - 2)*(5*s + 2)/19
Find k such that 1/6*k - 1/6 + 1/6*k**2 - 1/6*k**3 = 0.
-1, 1
Determine x, given that 0*x - 2/11*x**4 + 4/11*x**3 + 0 + 0*x**2 = 0.
0, 2
Let w(j) be the second derivative of -2*j - 1/6*j**4 + 0*j**2 - 1/3*j**3 + 0. Determine y, given that w(y) = 0.
-1, 0
Find s such that -2/7*s**2 + 0*s + 2/7 = 0.
-1, 1
Factor -1/2*q - 3/4*q**4 + q**3 + 0 + 1/4*q**2.
-q*(q - 1)**2*(3*q + 2)/4
Determine j, given that j + 0 - 1/2*j**2 - 1/2*j**3 = 0.
-2, 0, 1
Let p(a) be the second derivative of -5*a**4/6 + 13*a**3/9 + 2*a**2/3 - 30*a. Suppose p(m) = 0. Calculate m.
-2/15, 1
Suppose 0 = 2*y - 2*v, 20 = 3*y - 3*v + 5*v. Suppose -y*f = -0*f. Suppose -2/9 + 2/9*s**2 + f*s = 0. Calculate s.
-1, 1
Let c be ((-6)/15)/((-2)/10). Let r be 1*(-2)/(-4)*0. Determine f so that -1/4*f**3 - 1/4*f**c + 1/2*f + r = 0.
-2, 0, 1
Let f(w) = w - 4. Let a be f(5). Suppose 4 = 2*l + 2*b + 2, -5*l = -3*b - 29. Suppose -h**l - 3*h**2 + 2*h**2 - 5*h**2 - 4*h**3 - 4*h - a = 0. What is h?
-1
Suppose 3*w - 7*w = -16. Suppose -3*n + 2*p + 2 = 0, -p - p - 2 = 0. Let r + n - 5*r**w + 19/2*r**3 - 11/2*r**2 = 0. What is r?
0, 2/5, 1/2, 1
Let v = 26 + -3. Suppose -29*q**2 + 36*q**3 + 3*q**4 - 10*q**4 + 11*q**2 - v*q**4 + 3*q + 9*q**5 = 0. What is q?
0, 1/3, 1
Let g be (0/(-1))/((-6)/(-3)). Suppose 10 = 5*l - g. Suppose -6/7*d + 2/7 + 6/7*d**l - 2/7*d**3 = 0. What is d?
1
Factor -4 + o**4 - 2*o**5 + 4 + o**3.
-o**3*(o - 1)*(2*o + 1)
Let i be -1*(28/8 - 4)*0. Let a(j) be the second derivative of 0 + j**3 + 1/4*j**4 - 3*j + i*j**2. Find q, given that a(q) = 0.
-2, 0
Let a(m) = -4*m**2 - 2*m + 2. Let f be a(-4). Let s be 15/f - 1/(-2). Solve 0 - 4/9*j - s*j**2 = 0.
-2, 0
Suppose 2 = -8*p + 9*p. Let w(b) be the first derivative of 0*b - 2/3*b**3 + p + b**2. What is u in w(u) = 0?
0, 1
Let o(h) = h**3 - h**2 + 2*h - 2. Let p(g) = -3*g**3 + 3*g**2 - 4*g + 4. Suppose 6*r = 4*r + 6. Let y(z) = r*p(z) + 7*o(z). Determine m, given that y(m) = 0.
-1, 1
Let s(i) be the second derivative of -i**5/20 + 13*i**4/12 - 8*i**3 + 18*i**2 + 8*i. Determine w so that s(w) = 0.
1, 6
Let y be (-3)/(-6)*-10 - -1. Let t = y + 6. Suppose -t*f**4 + 0*f - 2/3*f**2 + 8/3*f**3 + 0 = 0. What is f?
0, 1/3, 1
Let k be ((-10)/8)/((-5)/(-2) + -3). Let q(t) be the first derivative of -1/2*t**4 - 3 - 2*t - 1/3*t**3 + k*t**2. Factor q(g).
-(g - 1)*(g + 2)*(2*g - 1)
Suppose -5 = -x, -x + 16 = 3*l + 5. Factor 1/2 + 0*r - 1/2*r**l.
-(r - 1)*(r + 1)/2
Suppose 0 = -21*t + 24*t - 6. Factor -1 + 1/2*v + 1/2*v**t.
(v - 1)*(v + 2)/2
Let q(b) be the third derivative of b**7/2520 - b**6/720 - b**4/12 - 2*b**2. Let s(v) be the second derivative of q(v). Let s(r) = 0. What is r?
0, 1
Factor 8 + 4*t**2 - 24 - 10*t**2 + 2*t**2 + 16*t.
-4*(t - 2)**2
Let j be (-1)/(-3) + 32/3. Suppose 4*m - 31 = -j. Suppose -3 - 12*p**2 + 10*p + m*p**3 + 1 - p = 0. What is p?
2/5, 1
Let q(s) be the second derivative of -s**6/360 - s**5/180 + s**4/36 + s**2 - 3*s. Let p(z) be the first derivative of q(z). Factor p(o).
-o*(o - 1)*(o + 2)/3
Suppose 10*s - 2*s**2 + 5 + 0*s**2 + 2*s**2 + 5*s**2 = 0. Calculate s.
-1
Find a, given that 2*a**4 + 15*a**3 - 33*a**3 - 2*a**2 + 16*a**3 + 2*a**5 = 0.
-1, 0, 1
Suppose 21*x = 19*x. Let m(o) be the second derivative of x*o**3 + 1/5*o**6 + 0*o**2 - 1/21*o**7 + 1/6*o**4 - 3/10*o**5 + 0 + o. What is u in m(u) = 0?
0, 1
Let s(v) be the first derivative of 0*v**2 + 3 + 0*v + 9/8*v**4 + 1/2*v**3 + 1/4*v**6 + 9/10*v**5. Find b such that s(b) = 0.
-1, 0
Determine i so that -5/4*i**3 + 1/2 + 3*i**2 - 9/4*i = 0.
2/5, 1
Let z(y) = y**3 - y**2 - y. Let w(f) = 5*f**5 + 15*f**4 - 5*f**3 + 15*f**2 + 15*f. Let h(d) = w(d) + 15*z(d). Factor h(o).
5*o**3*(o + 1)*(o + 2)
Let s = 98 - 64. Let -4*v**2 + 34*v - s - 10*v - 2 = 0. What is v?
3
Let m = 164/385 + -2/77. Factor -1/5 - 1/5*b**2 + m*b.
-(b - 1)**2/5
Let w be 0/(-2)*1/2. Suppose w*a**4 + 4*a**2 - 2*a**4 - 1 + 2 - 3 = 0. Calculate a.
-1, 1
Let i(g) be the second derivative of -g**4/36 + 2*g**3/9 - 2*g**2/3 + 16*g. Factor i(x).
-(x - 2)**2/3
Let h(w) be the third derivative of 0*w**4 + 0*w**3 + 0*w**5 - 1/120*w**6 + 0*w + 0 - 2*w**2 + 1/210*w**7. Let h(i) = 0. Calculate i.
0, 1
Let r(v) be the first derivative of v**6/3 + 8*v**5/5 + 5*v**4/2 + 4*v**3/3 + 11. Factor r(q).
2*q**2*(q + 1)**2*(q + 2)
Factor -2*z**2 - 3*z + 0*z**2 + 3*z**2.
z*(z - 3)
Suppose -4*h - 16 = 0, -48 = -5*a + 4*h + 8. Factor 