 + y*p**3.
-2*p*(p - 1)*(3*p + 1)
Let c(o) be the third derivative of -o**8/1176 + o**6/210 - o**4/84 + 4*o**2. Find w, given that c(w) = 0.
-1, 0, 1
Let s be (-50)/(-14) - (-3)/7. Solve 2*f - 9*f**5 + 10*f**5 - f**3 + f**4 - 2*f**5 + 3*f**2 - 4*f**s = 0.
-2, -1, 0, 1
Let m be (10 + (-33)/3)/(1/(-3)). Factor 1/3*v**5 + 0 - 1/3*v**m - 2/3*v**4 + 2/3*v**2 + 0*v.
v**2*(v - 2)*(v - 1)*(v + 1)/3
Let i be (6/5)/(936/240). Factor 2/13*y**3 - 6/13*y + 0*y**2 + i.
2*(y - 1)**2*(y + 2)/13
Let g(n) = 2*n**2 + 5*n. Let d(q) = q**3 - 4*q**2 - 2*q - 10. Let f be d(5). Let u(w) = -2*w**2 - 4*w. Let m(h) = f*u(h) + 4*g(h). What is p in m(p) = 0?
0
Let t(v) be the second derivative of -1/105*v**7 - v + 0*v**3 + 1/30*v**5 + 0*v**6 + 0 + 0*v**4 + v**2. Let x(k) be the first derivative of t(k). Factor x(d).
-2*d**2*(d - 1)*(d + 1)
Let i(g) = -g. Let m be i(-3). Suppose -4 = -2*a - 0*a. Find u, given that 8/3*u**a + 8/3*u**4 - 2/3*u**5 - 2/3*u - 4*u**m + 0 = 0.
0, 1
Let i(u) = 4*u**4 - 12*u**3 + 16*u**2 - 4*u. Let h(v) = 4*v**4 - 13*v**3 + 16*v**2 - 3*v. Let s(q) = -4*h(q) + 3*i(q). Factor s(w).
-4*w**2*(w - 2)**2
Let m(q) be the second derivative of -q**4/96 - q**3/16 + 4*q. Solve m(d) = 0 for d.
-3, 0
Let y = -1354/5 - -276. Factor 7/5*m**5 + 16/5*m**2 + y*m**4 - 1/5*m + 34/5*m**3 - 2/5.
(m + 1)**4*(7*m - 2)/5
Suppose 5*l + 0 = 25. Let k(v) be the second derivative of 1/5*v**l - v - 1/4*v**4 - 1/18*v**6 + 1/9*v**3 + 0*v**2 + 0. Factor k(r).
-r*(r - 1)**2*(5*r - 2)/3
Suppose 2/9*n + 4/3 - 14/9*n**2 - 2/9*n**3 + 2/9*n**4 = 0. Calculate n.
-2, -1, 1, 3
Let c(h) be the third derivative of -h**8/100800 + h**6/3600 + h**5/10 + 6*h**2. Let i(l) be the third derivative of c(l). Solve i(x) = 0 for x.
-1, 1
Factor -1/4*c**2 + 3/4*c**3 - 3/4*c**4 + 1/4*c**5 + 0*c + 0.
c**2*(c - 1)**3/4
Let l(r) be the first derivative of r**3/7 - 9*r**2/14 - 10. Let l(g) = 0. Calculate g.
0, 3
Let x(p) = -1. Let s(y) = 4*y**3 - 2. Let i(b) = -s(b) + 2*x(b). Factor i(z).
-4*z**3
Let j(u) = 27*u**2 + 24*u. Let z(y) = -y**2 + y + 1. Let l(h) = j(h) + 12*z(h). Factor l(v).
3*(v + 2)*(5*v + 2)
Let g = 320 - 2238/7. Let 4/7*j + 6/7 - g*j**2 = 0. What is j?
-1, 3
Let f(w) be the second derivative of -2*w + 1/2*w**2 + 0*w**4 + 1/10*w**5 - 1/30*w**6 - 1/3*w**3 + 0. Let f(s) = 0. What is s?
-1, 1
Let a(v) = v**3 + 6*v**2 - 8*v - 5. Let o be a(-7). Suppose k - 4*k - p - o = 0, 2 = -p. Factor -1/2*x**3 + k - 1/2*x - x**2.
-x*(x + 1)**2/2
Find c such that 16 + 36*c + 2*c**2 - 2*c**3 - 28*c - 6*c**2 = 0.
-2, 2
Find a, given that -8*a**5 + 31*a**3 - 5*a**4 - 26*a**3 + 5*a**2 + 3*a**5 = 0.
-1, 0, 1
What is g in 3*g**3 - 3 + 0*g**4 + 12*g**5 + g - 24*g**4 + 0*g - 4*g + 15*g**2 = 0?
-1/2, 1
Let k be (-2)/57*189/(-42). Let f = 23/95 + k. Factor -2/5*d**2 - 2/5*d**3 + f*d + 0 + 2/5*d**4.
2*d*(d - 1)**2*(d + 1)/5
Suppose -4*g = -3*n - 3 - 1, -2*g = 3*n + 16. Let f(l) = -l**3 - 3*l**2 - 2*l + 2. Let a be f(g). Suppose -6/5*b**a - 2/5 - 2/5*b**3 - 6/5*b = 0. What is b?
-1
Let j = 0 - -4. Suppose v + 11 = j*o, -17 = o - 3*v - 6. Factor 12*z - 4*z**2 + o*z - 7*z**2 + 8 - 10*z**3 - 3*z**2.
-2*(z - 1)*(z + 2)*(5*z + 2)
Factor -43*w**2 + 91*w**2 - 3*w - 49*w**2 + 4.
-(w - 1)*(w + 4)
Let r(g) be the first derivative of 0*g + 0*g**2 + 3 + 1/9*g**3. Suppose r(q) = 0. Calculate q.
0
Let l(t) be the second derivative of 2*t**5/15 - 11*t**4/18 + 5*t**3/9 + 2*t**2/3 - 5*t. Factor l(p).
2*(p - 2)*(p - 1)*(4*p + 1)/3
Let m(y) = -y**2 + y - 2. Let i(w) = -5*w**2 + 5*w - 9. Suppose 0 = 5*c - 0*j - 2*j - 88, -31 = -2*c + 5*j. Let z(s) = c*m(s) - 4*i(s). Solve z(x) = 0 for x.
0, 1
What is j in 3*j**2 + j + 164*j**3 - 79*j**3 - 86*j**3 - 3 = 0?
-1, 1, 3
Let l = 16/7 - 34/21. Factor -1/3*b**2 + 0 + l*b**3 + 0*b.
b**2*(2*b - 1)/3
Factor 2*f**2 - 3/2*f - 1/2.
(f - 1)*(4*f + 1)/2
Suppose x - y + 23 = 4*y, 0 = -2*x - y + 9. Suppose -x*t + 4*l - 6 = 2*l, -2*t - 2*l = -14. Factor t*k**2 + 2*k - k**5 + k - 2*k - 2*k**4.
-k*(k - 1)*(k + 1)**3
Let d(t) be the first derivative of -25*t**4/8 - 5*t**3/3 - t**2/4 + 6. Factor d(m).
-m*(5*m + 1)**2/2
Let k(p) be the third derivative of -p**8/3360 + p**6/720 - 7*p**3/6 - 6*p**2. Let r(w) be the first derivative of k(w). Factor r(z).
-z**2*(z - 1)*(z + 1)/2
Let m(x) be the first derivative of 3*x**4/4 - x**3 - 3*x**2/2 + 3*x + 2. Factor m(r).
3*(r - 1)**2*(r + 1)
Let n(w) be the second derivative of w**7/84 - w**5/20 + w**3/12 - 4*w. Find d such that n(d) = 0.
-1, 0, 1
Let s be (8/(-20))/((-68)/85). Suppose 2*w - 6*w**3 - s - 9/2*w**4 + w**2 = 0. Calculate w.
-1, 1/3
Suppose 5*s - 5*z = -50, 4*s + 28 = 3*z - 7. Let i be s/10*(-8)/2. Find a, given that -4*a + i*a**2 + a**3 + 4*a = 0.
-2, 0
Let s(t) = -12*t**4 - 29*t**3 + 60*t**2 - 19*t - 17. Let k(h) = 2*h**4 + 5*h**3 - 10*h**2 + 3*h + 3. Let j(u) = -34*k(u) - 6*s(u). Factor j(w).
4*w*(w - 1)**2*(w + 3)
Let u(y) = 6*y**2 - 4. Let i(b) = b**2 - 1. Let g(h) = -5*i(h) + u(h). Let j(v) = -3*v**2 + 4*v + 3. Let d(p) = 3*g(p) - j(p). Factor d(s).
2*s*(3*s - 2)
Let h = -7/111 - -479/555. Let -3/5 - 1/5*b**2 - h*b = 0. Calculate b.
-3, -1
Let f(n) be the second derivative of -3*n**5/20 + n**4/2 - n**3/2 - 7*n. Factor f(m).
-3*m*(m - 1)**2
Determine c so that -2 - 4*c + 5/2*c**2 = 0.
-2/5, 2
Find r such that 13*r**2 - 3*r + 0*r - 12*r**2 + 0*r = 0.
0, 3
Let q(a) be the second derivative of a**5/5 + 2*a**4/3 - 22*a. Suppose q(n) = 0. What is n?
-2, 0
Let m = -33 - -33. Factor 0 + 2/5*t**3 - 2/5*t**4 + m*t + 0*t**2.
-2*t**3*(t - 1)/5
Let j(i) be the second derivative of -i**7/672 + 11*i**6/720 - 7*i**5/120 + i**4/12 - i**3/6 - 3*i. Let r(p) be the second derivative of j(p). Factor r(h).
-(h - 2)**2*(5*h - 2)/4
Suppose 245*g + 28 = 252*g. Factor 2*q**3 + 2/3*q**g + 4/3*q + 0 - 10/3*q**2 - 2/3*q**5.
-2*q*(q - 1)**3*(q + 2)/3
Let q be -7 + 33/6 + (2 - 0). Factor -1 + q*b**3 + b**2 - 1/2*b.
(b - 1)*(b + 1)*(b + 2)/2
Let z(q) be the second derivative of 1/12*q**4 + 6*q - 7/12*q**3 + 3/40*q**5 + 0 + 1/2*q**2. Factor z(p).
(p - 1)*(p + 2)*(3*p - 1)/2
Let o(s) be the first derivative of 2*s**5/25 - 2*s**3/15 - 4. Factor o(n).
2*n**2*(n - 1)*(n + 1)/5
Let k = 123/2 - 74. Let m = k + 13. Factor 0 + 0*a**2 - 1/2*a**3 + m*a.
-a*(a - 1)*(a + 1)/2
Suppose 3*o = -3*p - 12, 5*p - 2*p - 3*o = 0. Let t be p/(0 + 2) - -6. Factor 4*x - x**t - 4*x.
-x**5
Factor -2/3*q**2 + 1/3*q**4 + 1/3 + 0*q + 0*q**3.
(q - 1)**2*(q + 1)**2/3
Let o = 4 + -2. Let i = 7 - o. Factor -6*d**i + 3*d**5 + d**5.
-2*d**5
Let c(r) be the second derivative of -r**6/2 - 51*r**5/20 - 21*r**4/4 - 11*r**3/2 - 3*r**2 + r. Factor c(w).
-3*(w + 1)**3*(5*w + 2)
Let m(i) be the second derivative of -i**7/231 + i**6/33 - 7*i**5/110 + i**4/22 - 2*i. Factor m(n).
-2*n**2*(n - 3)*(n - 1)**2/11
Let i(w) be the second derivative of w**6/375 + w**5/250 - w**4/150 - w**3/75 - 5*w. Find f, given that i(f) = 0.
-1, 0, 1
Let j(s) be the first derivative of -s**3/6 + 3*s**2/4 - s + 1. Factor j(a).
-(a - 2)*(a - 1)/2
Suppose 2*t = -w + 6, w + 0*t - 1 = 3*t. Suppose n**3 + n**2 - w*n**3 + 2*n**2 = 0. What is n?
0, 1
Let s(q) be the first derivative of -q**7/42 + q**5/20 - 5*q + 2. Let v(f) be the first derivative of s(f). What is c in v(c) = 0?
-1, 0, 1
Let v(n) be the first derivative of n**2/2 + n - 2. Let c(o) = -2*o**2 - 11*o - 11. Let y(q) = c(q) + 3*v(q). Let y(j) = 0. Calculate j.
-2
Let g be -1 + (0 + 3 - -3). Factor 4*r**5 - 2*r**3 - 8*r**2 - 2 - 2*r**g + 12*r**2 - 2*r**4 - 2*r**3 + 2*r.
2*(r - 1)**3*(r + 1)**2
Suppose 2*c - 4 = 2*q, 0 = 5*q + c + 2*c - 22. Let a(d) be the second derivative of 0 + 0*d**4 - 2/5*d**3 - d + 0*d**q - 1/50*d**6 + 9/100*d**5. Factor a(v).
-3*v*(v - 2)**2*(v + 1)/5
Let l(a) be the second derivative of 4*a**4/3 + 10*a**3/3 + 10*a**2 + a. Let x(k) = -3*k**2 - 4*k - 4. Let p(y) = -4*l(y) - 22*x(y). Factor p(u).
2*(u + 2)**2
Let u be 0/((-1)/((-3)/(-3))). Suppose -3*l + 2*l = u. Factor l*b**5 - b - b**5 - 3*b - 4*b**2 + 2*b**4 - 4*b**3 + 7*b**3.
-b*(b - 2)**2*(b + 1)**2
Let m(t) be the third derivative of t**6/240 + t**5/30 + 5*t**4/48 + t**3/6 + 9*t**2. Factor m(n).
(n + 1)**2*(n + 2)/2
Suppose 3*u = 20 + 22. Let f be (-106)/(-13) + u/(-91). Factor -4/7 - f*y**2 + 30/7*y.
-2*(4*y - 1)*(7*y - 2)/7
Let n(o) be the third derivative of -o**8/5880 + o**6/420 + o**5/210 - o**3/2 - 3*o**2. Let v(y) 