720 + j**5/360 - j**4/144 + j**2/2 + j. Let u(z) be the first derivative of i(z). Factor u(w).
-w*(w - 1)**2*(w + 1)/6
Let k = -7 + 13. Let g be (-6)/(k/(-3))*1. Suppose -2*x**2 - 2*x**5 + x**g + 0*x**2 - 6*x**4 - 7*x**3 = 0. Calculate x.
-1, 0
Let m(d) be the second derivative of d**5/8 + d**4/4 - d**3/4 - d**2 + 26*d. Determine n, given that m(n) = 0.
-1, 4/5
Let o(g) be the first derivative of -2*g**7/273 + g**6/39 - g**5/65 - g + 6. Let r(h) be the first derivative of o(h). Suppose r(w) = 0. Calculate w.
0, 1/2, 2
Suppose -4*u = u. Let m(g) be the second derivative of 0*g**3 + u + 0*g**2 - 1/24*g**4 - 1/20*g**5 - g. Factor m(p).
-p**2*(2*p + 1)/2
Let m(c) = -2*c**5 - 14*c**4 + 4*c**3 - 3*c**2 + 5*c. Let y(x) = -3*x**5 - 27*x**4 + 9*x**3 - 6*x**2 + 9*x. Let s(z) = -9*m(z) + 5*y(z). What is q in s(q) = 0?
0, 1
Let x(o) be the second derivative of o**6/120 + o**5/20 + o**4/16 - o**3/6 - o**2/2 + 9*o. Let x(s) = 0. What is s?
-2, -1, 1
Let a(p) be the second derivative of p**6/75 + 3*p**5/50 + p**4/30 - p**3/5 - 2*p**2/5 + 2*p. Factor a(o).
2*(o - 1)*(o + 1)**2*(o + 2)/5
Let f = 3 - 3. Let s(a) be the third derivative of -1/12*a**4 - a**2 - 1/3*a**3 + f*a + 0 - 1/120*a**5. Factor s(o).
-(o + 2)**2/2
Let o = 28 + -26. Determine h, given that -1/4*h + 7/4*h**3 - h**4 + 0 - 1/2*h**o = 0.
-1/4, 0, 1
What is y in -32*y**2 + 4*y - 6*y**3 + 0*y + 30*y**2 + 2*y**4 + 2*y**5 = 0?
-2, -1, 0, 1
Let x(s) be the third derivative of -1/6*s**3 + 1/240*s**6 + 0 + 0*s**5 - 1/16*s**4 + 0*s - 5*s**2. Solve x(u) = 0.
-1, 2
Suppose 0*u + u - 2 = 0. Let w(s) be the first derivative of -1/7*s**u + 0*s - 1/14*s**4 + 4/21*s**3 + 2. Solve w(n) = 0.
0, 1
Let q(i) be the first derivative of -5*i**7/168 + 3*i**6/32 - i**5/10 + i**4/24 - i**2/2 + 2. Let n(y) be the second derivative of q(y). Factor n(c).
-c*(c - 1)*(5*c - 2)**2/4
Let h(m) be the first derivative of -m**3/12 - 3*m**2/8 - m/2 - 30. Factor h(r).
-(r + 1)*(r + 2)/4
Let y = -5 - -7. Let w = -24 - -26. Factor 5 - y + 8*l**2 + 6*l - w*l**2 - 1 + 2*l**3.
2*(l + 1)**3
Let q be (-2)/(-3)*(6 - 0/(-4)). Let m(a) be the third derivative of 0*a + 1/30*a**q + 1/15*a**3 - 3*a**2 - 1/525*a**7 - 1/150*a**6 + 0 + 0*a**5. Factor m(n).
-2*(n - 1)*(n + 1)**3/5
Suppose i = 3*i. Let j(y) be the first derivative of i*y**4 - 2/5*y**5 + 1 + 1/2*y**2 + 2/3*y**3 - 1/6*y**6 + 0*y. Factor j(q).
-q*(q - 1)*(q + 1)**3
Suppose -2*z + 5*n = n - 14, 0 = 2*z + 4*n - 6. Suppose -6*f = -z*f. Find i, given that -7/2*i**5 + 1/2*i**2 + f + 19/2*i**4 - 15/2*i**3 + i = 0.
-2/7, 0, 1
Let i(j) = -11*j - 262. Let v be i(-24). Factor 2/11*w - 4/11*w**v + 0 + 2/11*w**3.
2*w*(w - 1)**2/11
Factor 0*j + 0 - 2/5*j**2.
-2*j**2/5
Let l(h) be the first derivative of 2/5*h**2 + 1 + 2/5*h**5 + 6/5*h**4 + 6/5*h**3 + 0*h. Factor l(p).
2*p*(p + 1)**2*(5*p + 2)/5
Suppose 13*p - 14*p = -3. Factor -6*y**2 - 2 + 5*y**2 + p*y + 0*y**2.
-(y - 2)*(y - 1)
Suppose 4 = -4*a - 0. Let x be a + (6 - 1) + -2. Factor 4*f + f**3 - f**x - 4*f - 2*f.
f*(f - 2)*(f + 1)
Let w(f) be the second derivative of f**7/12 - f**6/12 - f**5/20 + 3*f. Factor w(h).
h**3*(h - 1)*(7*h + 2)/2
Let k(b) be the third derivative of -1/360*b**5 + 6*b**2 + 1/72*b**4 - 1/36*b**3 + 0*b + 0. Factor k(y).
-(y - 1)**2/6
Factor 0 - 9/4*q - 3*q**2 - 3/4*q**3.
-3*q*(q + 1)*(q + 3)/4
Let a be ((-6)/(-75))/(8/10). Let h(c) be the second derivative of 1/3*c**3 + 1/3*c**4 + 0*c**2 + 0 - 3*c + a*c**5. Suppose h(f) = 0. Calculate f.
-1, 0
Let p(r) = -3*r**3 - 8*r**2 - 12*r - 10. Let a = -1 - -7. Let f(u) = 9*u**2 + a*u + 6*u + 4*u**3 + 0 + 11. Let j(z) = -2*f(z) - 3*p(z). Factor j(m).
(m + 2)**3
Let q = -2754/5 - -552. Determine w, given that 0*w - 2/5*w**2 - q*w**4 + 2/5*w**5 + 0 + 6/5*w**3 = 0.
0, 1
Let q(b) = -26*b**2 - 71*b - 56. Let j(w) = 5*w**2 + 14*w + 11. Let u(y) = 11*j(y) + 2*q(y). Factor u(t).
3*(t + 1)*(t + 3)
Let x be 5/(-15) - (-26)/24. Determine l so that -1/4*l**5 - 3/4*l**2 + 0 - 1/4*l**3 + 1/2*l + x*l**4 = 0.
-1, 0, 1, 2
Let x be (-6)/(-15)*(12 - 2). Let n(k) be the third derivative of 0 - 1/8*k**x + 1/20*k**5 + 0*k + 1/6*k**3 + 3*k**2 - 1/120*k**6. Solve n(g) = 0 for g.
1
Suppose 5*i + 3*h + 6 = 0, -3*h - 10 = i - 4. Suppose -b**3 + 5/4*b**2 + i - 1/4*b = 0. Calculate b.
0, 1/4, 1
Suppose 3 = 2*c + 4*t - 9, -12 = c - 4*t. Determine b, given that c + 0*b**2 + 1/4*b - 1/4*b**3 = 0.
-1, 0, 1
Suppose 2*z + 5*p + 6 = 2, -z - 3*p = 3. Suppose -z*j - 2*t = 10, -5*j + 0 + 15 = -3*t. Suppose s**4 - 4*s + 5*s - 2*s**4 + j*s - s**3 + s**2 = 0. Calculate s.
-1, 0, 1
Let f(b) = b**2 + 1. Let h(l) = l**2 - 4*l + 1. Let t(g) = -6*f(g) + 2*h(g). Factor t(x).
-4*(x + 1)**2
Let s be -2 - (-36)/8 - (-5)/10. Let -33/5*c**4 - 27/5*c**s - 3/5*c**2 + 0 - 12/5*c**5 + 3/5*c = 0. Calculate c.
-1, 0, 1/4
Let q be (-3)/2 - (-4 - -2). Factor 1/2*i - q*i**2 + 1.
-(i - 2)*(i + 1)/2
Let b = 6 - 4. Find c such that 1 + 6*c**2 - 5*c**b + 3*c - c = 0.
-1
Let d(w) be the third derivative of w**5/30 + 5*w**4/6 + 25*w**3/3 + 6*w**2. Determine j, given that d(j) = 0.
-5
Let q(o) = 2*o**4 + o**3 - 2*o - 1. Let b(i) = -i**4 - i**2 + i + 1. Suppose -3*p - 5 = 1. Let j be (-1)/p - (-3)/6. Let z(v) = j*b(v) + q(v). Factor z(x).
x*(x - 1)*(x + 1)**2
Let u(s) be the third derivative of -s**8/1344 + s**7/420 + s**6/480 - s**5/120 + 24*s**2. Let u(k) = 0. Calculate k.
-1, 0, 1, 2
Let m(d) be the first derivative of d**5/60 - d**3/6 + 3*d**2 - 3. Let w(i) be the second derivative of m(i). Factor w(x).
(x - 1)*(x + 1)
Let h(q) be the third derivative of 5/24*q**4 + 2/15*q**5 - 2/45*q**6 + 0*q - 3*q**2 + 0 + 1/9*q**3. Factor h(j).
-(j - 2)*(4*j + 1)**2/3
Let j(n) be the second derivative of -n**6/50 + 3*n**5/10 - 5*n**4/4 + 17*n. Solve j(f) = 0.
0, 5
Let b(o) be the second derivative of -o**5/5 - o**4/3 + 2*o**3/3 + 2*o**2 + 15*o. Factor b(q).
-4*(q - 1)*(q + 1)**2
Let r(s) be the first derivative of -2 + 2/9*s**3 + s + 5/6*s**2. Determine o so that r(o) = 0.
-3/2, -1
Let h be -2*3*(-1)/2. Let i = 5 - h. Let 5*f**4 + 3*f - 6*f**4 + f**i - 4*f + f**3 = 0. What is f?
-1, 0, 1
Let i(t) = t**2 - 17*t - 50. Let n(a) = 18*a + 50. Let r(p) = -2*i(p) - 3*n(p). Solve r(o) = 0 for o.
-5
Solve -n**4 + 8*n**2 - 12*n**2 - 4*n**3 + 4*n**5 + 5*n**4 = 0 for n.
-1, 0, 1
Suppose 0 - 1/4*m**2 + 3/8*m - 1/8*m**3 = 0. Calculate m.
-3, 0, 1
Suppose -12*b**3 - 6 - b**5 + 6*b**2 + 9*b + 0*b + 4*b**5 = 0. Calculate b.
-2, -1, 1
Suppose -3*t + 9 = -z - 1, 0 = 3*z + 5*t - 26. Let v be (-96)/(-189) + 4/(-14). Solve 0 - 2/9*w**z + v*w = 0 for w.
0, 1
Let x(o) = o**3 + o**2 - o - 1. Let v(i) = -2*i**3 + i**2 + 8*i + 5. Let q(c) = v(c) + 4*x(c). Solve q(d) = 0.
-1, -1/2
Let o(d) be the third derivative of 9/5*d**3 + 9/10*d**4 + 6/25*d**5 + 0*d + 7*d**2 + 0 + 1/30*d**6 + 1/525*d**7. Determine n, given that o(n) = 0.
-3, -1
Let t(y) be the first derivative of y**6/360 - y**5/120 - y**4/12 - y**3 - 1. Let z(r) be the third derivative of t(r). What is x in z(x) = 0?
-1, 2
Let i be (28/2016)/(-2*2/(-6)). Let q(p) be the second derivative of 3*p + 0 + 0*p**2 + i*p**4 + 0*p**3. Factor q(j).
j**2/4
Let l(n) be the first derivative of 0*n**2 + 12/5*n - 3/5*n**3 + 8 + 3/20*n**4. Solve l(m) = 0.
-1, 2
Let j be ((-2)/(-4))/((-77)/(-88)). Solve j + 6/7*m**3 - 2/7*m**2 - 2/7*m**4 - 6/7*m = 0.
-1, 1, 2
Let a(d) = 1. Let u(m) = -12*m**3 + 8 + 0 + 6*m - 7*m + 9*m + 4*m**2. Let r(y) = 8*a(y) - u(y). Factor r(l).
4*l*(l - 1)*(3*l + 2)
Factor -5*q**4 + 20*q - 10*q**2 - q**4 - 3*q**3 + q**4 - 17*q**3 + 15.
-5*(q - 1)*(q + 1)**2*(q + 3)
Suppose 5*q - 25 - 24 = o, -q - 4*o + 14 = 0. Let u be q*((-6)/4)/(-3). What is g in -g**2 + u*g**4 + g**3 - 4*g**4 - g + 0*g**2 = 0?
-1, 0, 1
Let h = 2 + -7. Let l be (24/15)/((-3)/h). Factor 8/3 + l*y + 2/3*y**2.
2*(y + 2)**2/3
Let y(v) = 72*v**4 + 248*v**3 + 292*v**2 + 28*v + 28. Let f(g) = 13*g**4 + 45*g**3 + 53*g**2 + 5*g + 5. Let d(q) = 28*f(q) - 5*y(q). Factor d(x).
4*x**2*(x + 2)*(x + 3)
Let m(b) be the second derivative of 1/4*b**4 + 1/30*b**5 + b**2 + 0 + 3*b + 2/3*b**3. Let l(g) be the first derivative of m(g). Factor l(s).
2*(s + 1)*(s + 2)
Let j(l) be the third derivative of l**7/3780 - l**6/540 + l**4/24 + l**2. Let d(o) be the second derivative of j(o). Factor d(i).
2*i*(i - 2)/3
Let h(k) = -3*k**2 + 2*k**2 - 1 + 2*k + 2*k**2. Let j be h(-3). Factor -