ctor v(s).
s*(s + 1)**2*(s + 2)/6
Determine m so that 225/4*m + 3/4*m**3 - 45/4*m**2 - 375/4 = 0.
5
Let t(v) be the second derivative of -v**6/420 - v**5/210 - v**2/2 + 2*v. Let b(l) be the first derivative of t(l). Determine i so that b(i) = 0.
-1, 0
Factor 41*b - 8 - 2*b**2 - 49*b + 4*b**3 + 8*b**2 - 2*b**4.
-2*(b - 2)**2*(b + 1)**2
Let h(g) be the third derivative of g**9/90720 - g**8/30240 - g**7/3780 - g**5/12 - 6*g**2. Let f(r) be the third derivative of h(r). Factor f(v).
2*v*(v - 2)*(v + 1)/3
Let c(q) = q**3 + 3. Let n(m) = -m**2 - 10*m. Let k be n(-10). Let a be c(k). Factor 0 + 2/3*f - 2/3*f**4 - 2/3*f**a + 2/3*f**2.
-2*f*(f - 1)*(f + 1)**2/3
Let j = -6 + 0. Let c be j/(-15)*30/36. Factor c*f - 1/3*f**2 + 2/3.
-(f - 2)*(f + 1)/3
Let a(s) = 2*s**3 - 2*s**2 - 4*s - 3. Let i(t) = -4*t**2 - 8*t - 5 + 2*t - t + 3*t**3. Let l(u) = 10*a(u) - 6*i(u). Factor l(f).
2*f*(f + 1)**2
Let s(q) be the first derivative of q**3/6 - 16. Suppose s(b) = 0. Calculate b.
0
Let w(i) be the first derivative of -9*i**4/10 + 8*i**3/3 - 4*i**2/5 + 6. Factor w(y).
-2*y*(y - 2)*(9*y - 2)/5
Determine s, given that 6*s**5 + s + 13/2*s**4 - 7/2*s**2 - 4*s**3 + 0 = 0.
-1, 0, 1/4, 2/3
Factor 2/7*l**2 + 0*l - 2/7.
2*(l - 1)*(l + 1)/7
Let s(d) = -2*d + 35. Suppose 5*h + 17 = 2*k, 2*k - 5*k + 2*h + 42 = 0. Let x be s(k). Factor -1/4*z**4 - 1/4 + 0*z + 0*z**x + 1/2*z**2.
-(z - 1)**2*(z + 1)**2/4
Factor 0 + 3/4*d**2 + 3/2*d**3 - 3/2*d - 3/4*d**4.
-3*d*(d - 2)*(d - 1)*(d + 1)/4
Let u(g) be the first derivative of 0*g + 1/18*g**4 - 2/3*g**3 - 1 - 1/540*g**6 + 1/180*g**5 + 0*g**2. Let w(b) be the third derivative of u(b). Factor w(o).
-2*(o - 2)*(o + 1)/3
Let m be 42/18 + (-1)/3. Suppose 2*a - 5*u + 1 = 0, 0 = a - 4*a + 2*u + 4. Factor 2 - m + k**a - 1.
(k - 1)*(k + 1)
Suppose -4*o + 2 + 6 = 0. Let r be o/2 - (-1)/1. Factor c**2 + 0*c**r + 0*c**2.
c**2
Let p(g) = 4*g**3 - 2*g**2 + 2*g. Let f be p(1). Factor 0 + 2*y - 13*y**2 + 49/4*y**f + 35/2*y**3.
y*(y + 2)*(7*y - 2)**2/4
Let j(n) = -6*n**2 - 6*n. Let q(a) = 4*a**2 - 2*a**2 + 0*a**2 - 3*a**2. Let y be ((2 - 1)/1)/(-1). Let f(x) = y*j(x) + 3*q(x). Factor f(k).
3*k*(k + 2)
Let o(z) = 2*z**4 + 10*z**3 - 12*z**2 - 8*z + 8. Let s(c) = -c**4 - 3*c**3 + 4*c**2 + 3*c - 3. Let h(r) = 3*o(r) + 8*s(r). What is j in h(j) = 0?
0, 1, 2
Let c = 6 - 6. Let b(m) be the second derivative of 1/40*m**5 - 1/8*m**2 + 0*m**4 - 1/12*m**3 + c + 1/120*m**6 - m. Determine z so that b(z) = 0.
-1, 1
Let z(m) = -4*m**5 - 3*m**4 + 4*m**3 - 2*m**2 - 6*m - 1. Let q(h) = -9*h**5 - 6*h**4 + 9*h**3 - 5*h**2 - 13*h - 2. Let n(d) = -6*q(d) + 13*z(d). Factor n(p).
(p - 1)**3*(p + 1)*(2*p + 1)
Solve -3/5*i**2 + 9/5*i - 6/5 = 0.
1, 2
What is s in 0*s**2 + 3*s - 5*s**2 - s**2 + 3*s**3 = 0?
0, 1
Factor 3*f**4 - 3/2*f**2 - 3/2 + 3/4*f**5 - 15/4*f + 3*f**3.
3*(f - 1)*(f + 1)**3*(f + 2)/4
Suppose 0*w - 14 = 5*p + w, 0 = 5*p + 5*w + 10. Let i(t) = -t**3 - 4*t**2 - 4*t. Let u be i(p). Determine y, given that -4 + y**3 - 2 + u*y - 3*y**2 + 5 = 0.
1
Let g = 24 + -33. Let v = 13 + g. Determine u, given that 4/5*u**3 - 4/5*u - 4/5 + 1/5*u**v + 3/5*u**2 = 0.
-2, -1, 1
Find h such that 1/3*h**4 + 1/3*h**2 + 0*h - 2/3*h**3 + 0 = 0.
0, 1
Let r(h) be the first derivative of -h**4/26 + 4*h**3/13 - 12*h**2/13 + 16*h/13 + 10. Factor r(j).
-2*(j - 2)**3/13
Factor 201 - 5*b**2 - 204 + 4*b**3 + 7*b - 3*b**3.
(b - 3)*(b - 1)**2
Let l(y) be the second derivative of -y**7/210 + y**6/60 - y**5/60 - y**3/2 - 2*y. Let r(i) be the second derivative of l(i). Determine x so that r(x) = 0.
0, 1/2, 1
Let x = 13 + -13. Let -1/3*y + x - 1/3*y**2 = 0. Calculate y.
-1, 0
Let a = 26 + -16. Factor a + 5*q - 10 - 3*q**2 - 11*q.
-3*q*(q + 2)
Solve 5/4*w**4 + 0*w + 0 - 1/2*w**2 + 3/4*w**3 = 0 for w.
-1, 0, 2/5
Let g = -29 - -610/21. Let l(n) be the second derivative of 0*n**2 + 1/105*n**6 + 2*n + 1/14*n**4 + 0 + 3/70*n**5 + g*n**3. Find v, given that l(v) = 0.
-1, 0
Let d = 0 - -2. Let c(h) = 5*h**3 - 11*h**2 - 26*h + 10. Let v(x) = x**3 - 2*x**2 - 5*x + 2. Let q(i) = d*c(i) - 11*v(i). Find g, given that q(g) = 0.
-2, 1
Let k(d) be the first derivative of -3*d**4/20 - 9*d**3/5 - 21*d**2/5 + 4. Determine c, given that k(c) = 0.
-7, -2, 0
Let u(c) = 4*c + 1. Let l be u(1). Suppose -3*g - l*r = g - 19, 0 = 5*g + 3*r - 14. Suppose 8*w + 6*w**2 + w**4 + 0*w**4 + g + 4*w**3 - 4*w = 0. What is w?
-1
Let d(s) be the third derivative of -49*s**5/45 + 14*s**4/9 - 8*s**3/9 - 14*s**2. Factor d(k).
-4*(7*k - 2)**2/3
Factor 3*z + 2*z**2 - 109 + 12*z + 7*z**4 - z**5 - 14*z**3 + 100.
-(z - 3)**2*(z - 1)**2*(z + 1)
Let a be 1*5 + 25 + -25. Let k(l) be the first derivative of 0*l + 0*l**3 - 1/6*l**4 + 0*l**2 - 4/15*l**a - 3. Let k(v) = 0. Calculate v.
-1/2, 0
Let d(x) be the third derivative of 0*x**4 + 0*x + 1/630*x**7 - 5*x**2 + 0 + 1/180*x**6 + 0*x**3 + 1/180*x**5. Solve d(l) = 0 for l.
-1, 0
Let i(u) be the second derivative of -49/6*u**7 - 441/10*u**6 - 32*u**3 - 7*u - 8*u**2 + 0 - 413/5*u**5 - 212/3*u**4. Suppose i(f) = 0. What is f?
-2, -1, -2/7
Let s = -25 - -19. Let g = -4 - s. Suppose 1/3*l**3 + 2/3*l + 0 - l**g = 0. Calculate l.
0, 1, 2
Let l(w) = 16*w**3 - 57*w**2 + 9*w + 9. Let x(t) = 4*t**3 - 14*t**2 + 2*t + 2. Let d(p) = 2*l(p) - 9*x(p). Solve d(z) = 0 for z.
0, 3
Let i(o) = o - 3. Let q be i(5). Suppose 2 + 3*m**q - 4*m**2 - 1 = 0. Calculate m.
-1, 1
Let m be (13/5)/1 + (-84)/42. Solve -2/5*x**3 - 4/5 - 1/5*x**4 + m*x**2 + 4/5*x = 0.
-2, 1
Let c(m) = -2*m**2 + 11*m + 2. Let j(y) = -y**2 + 6*y + 1. Let g(b) = -6*c(b) + 11*j(b). Solve g(z) = 0 for z.
-1, 1
Let u(v) be the second derivative of 5*v + 0 - 1/3*v**3 + 0*v**4 + 0*v**2 + 1/40*v**5. Find b such that u(b) = 0.
-2, 0, 2
Let a be 26/5 + (-1)/(3/15). Factor -1/5*t**2 + 0 + a*t.
-t*(t - 1)/5
Determine x, given that 45 - x**2 - 30*x + 4*x**2 + 2*x**2 = 0.
3
Let h(s) be the second derivative of 0*s**4 + 0*s**2 - 1/84*s**7 + 0*s**6 + 3*s + 1/20*s**5 + 0 - 1/12*s**3. Determine p so that h(p) = 0.
-1, 0, 1
Let b(s) be the third derivative of -1/3*s**3 + 0*s**4 + 0 + 1/30*s**5 + 2*s**2 + 0*s. Factor b(t).
2*(t - 1)*(t + 1)
Let u = -13 - -27. Determine l, given that -l + 4*l**3 + l + u*l**5 + 18*l**4 = 0.
-1, -2/7, 0
Let k(q) = q**3 - q**2 + 2. Let p be k(0). Let f be 4/(-8) + (-51)/18 + 4. Factor 8/3*x**p + f + x**3 + 7/3*x.
(x + 1)**2*(3*x + 2)/3
Let m(r) be the third derivative of 2/33*r**5 + 1/616*r**8 + 16/1155*r**7 + 0*r**3 + 0 + 0*r + 29/660*r**6 + 1/33*r**4 - 2*r**2. Find y such that m(y) = 0.
-2, -1, -1/3, 0
Let j(l) be the third derivative of -l**8/336 - l**7/70 - l**6/60 - 8*l**2. Let j(y) = 0. What is y?
-2, -1, 0
Factor -d**2 - 3 - 27*d**4 + 26*d**4 + 2*d**3 + 3.
-d**2*(d - 1)**2
Let d be -4 + 1/(-4) + 531/108. Find u such that -d*u - 4/9 - 2/9*u**2 = 0.
-2, -1
Let z = -175 - -177. Suppose -1/2*b + 1/2 + 1/2*b**3 - 1/2*b**z = 0. What is b?
-1, 1
Let v(x) be the first derivative of 1 + 1/6*x**3 + 0*x + 1/4*x**2. Factor v(n).
n*(n + 1)/2
Factor -3/8*y**5 - 27/8*y**3 + 21/8*y**2 + 0 - 3/4*y + 15/8*y**4.
-3*y*(y - 2)*(y - 1)**3/8
Let j(d) be the first derivative of 2*d**5/55 - 5*d**4/22 + 16*d**3/33 - 4*d**2/11 + 3. Factor j(b).
2*b*(b - 2)**2*(b - 1)/11
Let j(y) be the first derivative of -2*y**3/27 - 8*y**2/9 - 32*y/9 - 11. Factor j(q).
-2*(q + 4)**2/9
Let d be -1 - ((1 - 1) + -1). Solve 0 + c**2 - 5/2*c**4 + d*c + 3/2*c**3 = 0.
-2/5, 0, 1
Let w(n) be the third derivative of -n**5/15 + 2*n**3/3 + 4*n**2. Factor w(f).
-4*(f - 1)*(f + 1)
Let b(w) = w**2 + 4*w - 12. Let d be b(-6). Let k(z) be the second derivative of d - 2*z**2 - 2*z - z**3 - 1/6*z**4. Find a, given that k(a) = 0.
-2, -1
Let o(r) be the third derivative of r**6/60 - r**5/10 + r**4/6 + 2*r**2. Factor o(n).
2*n*(n - 2)*(n - 1)
Let r be 11/5 - 2/10. Suppose 0 = r*b - b - 5. Let y(a) = 3*a**2 + 6. Let z(x) = 2*x**2 + x + 5. Let c(v) = b*y(v) - 6*z(v). Suppose c(n) = 0. Calculate n.
0, 2
Factor 0 + 4/7*y**3 + 2/7*y**2 + 0*y.
2*y**2*(2*y + 1)/7
Let l(u) = u**2. Let q(x) be the third derivative of -x**6/60 - x**5/30 - x**4/12 + 2*x**2. Let z(m) = 2*l(m) - q(m). Find v such that z(v) = 0.
-1, 0
Let p be 2/(-7) + 288/126. Let w be ((-34)/(-119))/(p/14). Determine u, given that 0 - 8/3*u**3 + 2/3*u + 5/3*u**4 + 1/3*u**w = 0.
-2/5, 0, 1
Let w(p) = -p - 12. Let m be w(-8). Let r be -4 - (2/(-4