 - 3*i + 2. Let s(k) be the first derivative of v(k). Factor s(n).
n**3/2
Let v(z) = -6*z**4 - 5*z**3 + 5*z**2 + 9*z + 1. Let a(c) = -c**5 + c**4 - c**3 - c**2 - c - 1. Let m(p) = a(p) + v(p). Suppose m(r) = 0. Calculate r.
-2, 0, 1
Let p be (-1)/(2/8 - 0). Let r be (6/(-15))/(8/p). Find n such that r*n**2 - 2/5*n + 1/5 = 0.
1
Let p = 2/63 + 1/42. Let h(t) be the second derivative of -1/30*t**5 - 2*t - p*t**4 + 1/3*t**2 + 1/9*t**3 + 0. Let h(i) = 0. What is i?
-1, 1
Let m(i) be the third derivative of 0*i + 0*i**3 + 0 + 0*i**5 - 1/60*i**6 + 3*i**2 + 1/12*i**4. Solve m(u) = 0.
-1, 0, 1
Factor -8/7 - 8/7*d + 6/7*d**2 + 2/7*d**4 + 8/7*d**3.
2*(d - 1)*(d + 1)*(d + 2)**2/7
Suppose 0*o - 4*o + 80 = 0. Factor -5*v**5 + 10*v**4 - o*v**3 + 19*v**2 + v**2 + 3*v**5 - 10*v + 2.
-2*(v - 1)**5
Let x be 5*4/6 - 3. Factor -x*z**2 - 2/3*z + 0.
-z*(z + 2)/3
Let d(o) be the first derivative of -o**3/3 + 2*o**2 - 4*o - 19. Factor d(q).
-(q - 2)**2
Let d be 6*(2 + 3/(-2)). Suppose -p = -2*p + 4. Factor p*f**2 - 5*f**2 + 5*f**2 + 2*f + 2*f**d.
2*f*(f + 1)**2
Let f(j) be the third derivative of 1/10*j**5 - 1/40*j**6 + 3*j**2 + 0 + 1/8*j**4 + 0*j - 1/4*j**3 - 3/140*j**7. Find o such that f(o) = 0.
-1, 1/3, 1
Let w(y) be the first derivative of -y**6/63 - 2*y**5/35 - y**4/42 + 2*y**3/21 + 2*y**2/21 + 16. Solve w(o) = 0 for o.
-2, -1, 0, 1
Solve 2/7*o**2 + 6/7 + 8/7*o = 0 for o.
-3, -1
Suppose -677 = 2*q - 685. Factor 1/2*z**2 + q*z + 8.
(z + 4)**2/2
Let w(f) be the first derivative of f**8/8400 - f**6/900 + f**4/120 + 2*f**3/3 + 1. Let m(k) be the third derivative of w(k). Let m(x) = 0. What is x?
-1, 1
Let r be (-4)/(-20) - (4/5)/4. Let q(s) be the third derivative of 0 - 2/75*s**5 + r*s + 1/20*s**4 - s**2 + 1/15*s**3. Factor q(g).
-2*(g - 1)*(4*g + 1)/5
Let 0 + 1/3*x + 1/6*x**3 + 1/2*x**2 = 0. Calculate x.
-2, -1, 0
Let t = 8 + 37. Suppose -2*g + t - 1 = 0. Let -26*r**2 - 3*r - 4 + 12*r**3 + g*r - r = 0. What is r?
1/2, 2/3, 1
Let g(u) = u**2 + 22*u - 23. Let n(w) = -w**3 + 4*w**2 + w. Let a be n(4). Let f(k) = 6*k**2 + 111*k - 114. Let h(t) = a*f(t) - 21*g(t). Factor h(d).
3*(d - 3)**2
Let g = 11 + 7. Determine c so that 4*c**2 - 41*c**3 - 2*c + 0*c**2 + 29*c**3 + g*c**3 = 0.
-1, 0, 1/3
Let l = 16 - 13. Let i be 2 - (1 + -4 + l). Factor -1/4*b**i - b - 1.
-(b + 2)**2/4
Let m be 0/((-3 - -9) + -8). Let 0*l + m + 0*l**3 + 3/2*l**4 + 3/2*l**5 + 0*l**2 = 0. Calculate l.
-1, 0
Let t = -37 + 23. Let j = -10 - t. Factor -15*k**2 - 2*k**2 - j*k**2 - 7*k**2 + 15*k - 2.
-(4*k - 1)*(7*k - 2)
Let l(m) = 2*m + 8. Let d be l(-8). Let r(s) = -s - 3. Let b be r(d). Factor 2 - 7*i**4 - b*i + 14*i**4 - 12*i**2 + 3*i**2 + 5*i**3.
(i - 1)*(i + 1)**2*(7*i - 2)
Let l(t) be the second derivative of -t**6/6 - 3*t**5/2 - 65*t**4/12 - 10*t**3 - 10*t**2 - 34*t. Factor l(s).
-5*(s + 1)**2*(s + 2)**2
Let v(w) be the second derivative of 4*w**7/63 - w**6/5 + w**5/15 - 7*w. Factor v(q).
2*q**3*(q - 2)*(4*q - 1)/3
Let h(f) = 2*f - 4. Let v = 1 - -1. Suppose -j - v = -0. Let t(z) = z**2 + z - 5. Let p(a) = j*t(a) + 3*h(a). Factor p(g).
-2*(g - 1)**2
Let i(s) be the third derivative of 0*s - 8*s**2 - 1/105*s**7 + 0*s**3 - 1/30*s**6 + 0*s**5 + 0*s**4 + 0. Find k such that i(k) = 0.
-2, 0
Let r(y) be the third derivative of y**2 - 1/165*y**6 + 1/55*y**5 - 1/33*y**4 + 1/33*y**3 + 1/1155*y**7 + 0*y + 0. Let r(p) = 0. Calculate p.
1
Find v such that 3*v**3 + 37*v**3 - 6026*v**4 + 6022*v**4 - 100*v**2 = 0.
0, 5
Let z(b) be the third derivative of -2/3*b**3 - 39/20*b**5 - b**2 + 0 + 27/40*b**6 + 5/3*b**4 + 0*b. Determine m so that z(m) = 0.
2/9, 1
Let i(q) be the second derivative of -q**5/70 + q**3/7 + 2*q**2/7 - 4*q. Factor i(m).
-2*(m - 2)*(m + 1)**2/7
Factor 8*s**2 - s**2 - 12*s**3 + 16*s**4 - 4*s**5 - 7*s**2.
-4*s**3*(s - 3)*(s - 1)
Let u(i) be the first derivative of -i**6/10 - 3*i**5/5 + 3*i**4/4 + 5*i**3 - 12*i**2 + 48*i/5 + 10. Solve u(m) = 0 for m.
-4, 1
Let s = 369/20 + -69/4. Factor -s*b**2 - 2*b + 2/5*b**3 + 2/5*b**4 - 4/5.
2*(b - 2)*(b + 1)**3/5
Let k be ((-24)/(-90))/((-4)/(-6)). Factor 2/5*w**2 + 0 - k*w.
2*w*(w - 1)/5
Let n = 37 - 20. Let y(p) = -7 - 12 + 17*p + 14*p**2 + 2. Let k(c) = -5*c**2 - 6*c + 6. Let a(v) = n*k(v) + 6*y(v). Determine w so that a(w) = 0.
0
Let l(d) = -d**2 - 6*d - 4. Let m be (-108)/26 + (-4)/(-26). Let q be l(m). Factor 8*r + q*r**2 - r**4 + r**3 - r**2 - 9*r + 0*r**4 - 2.
-(r - 2)*(r - 1)*(r + 1)**2
Suppose 16*a - 24 - 24 = 0. Let o(n) be the first derivative of -2/15*n**a - 2 + 1/10*n**4 + 2/5*n - 1/5*n**2. Suppose o(q) = 0. Calculate q.
-1, 1
Let r be 8*-2 + (-4)/(-4). Let u be 2/4 - r/330. Factor -8/11*k**2 + 2/11*k + 0 + u*k**3.
2*k*(k - 1)*(3*k - 1)/11
Suppose 2*j + 6*u - 7*u = 3, -2*j + 3*u = -1. Let r(i) be the second derivative of -5*i + 1/10*i**6 + 3/2*i**j + 0*i**3 + 0*i**5 + 0 - 1/2*i**4. Factor r(q).
3*(q - 1)**2*(q + 1)**2
Factor -2/3*l**3 + 2/9*l**5 - 4/9*l**2 + 0*l**4 + 0 + 0*l.
2*l**2*(l - 2)*(l + 1)**2/9
Factor -4/11*s**2 + 0*s - 6/11*s**3 + 4/11*s**4 + 0.
2*s**2*(s - 2)*(2*s + 1)/11
Factor 0 - 3/4*u**2 - 3*u**4 + 0*u + 3*u**3.
-3*u**2*(2*u - 1)**2/4
Factor 1/4*f**3 - 1/2*f**2 + 1/4*f + 0.
f*(f - 1)**2/4
Suppose -38*g + 4 = -36*g. Let o(j) be the first derivative of 6*j + 4 + 3/2*j**g - j**3. Factor o(u).
-3*(u - 2)*(u + 1)
Let v(m) = -6*m**3 + 6*m**2 - 3*m - 3. Let k(u) = -u**3 + 1. Let s(h) = -4*h**3 + 2. Let l(p) = 3*k(p) - s(p). Let t(o) = -3*l(o) - v(o). Factor t(r).
3*r*(r - 1)**2
Suppose 0*m = 3*m + 5*m. Factor -2/11*x + 0*x**2 + 2/11*x**3 + m.
2*x*(x - 1)*(x + 1)/11
Let o be (-240)/(-182) + (-144)/168. Factor 4/13*j**3 - 6/13*j - 4/13*j**2 + 2/13*j**5 - 2/13 + o*j**4.
2*(j - 1)*(j + 1)**4/13
Let d(s) be the second derivative of s**5/60 + s**4/4 + 4*s**3/3 + 8*s**2/3 - 50*s. Factor d(t).
(t + 1)*(t + 4)**2/3
Let s(q) be the second derivative of -1/42*q**4 - 1/147*q**7 + 1/105*q**6 + 0*q**3 + 0 - 3*q + 0*q**2 + 1/70*q**5. Factor s(y).
-2*y**2*(y - 1)**2*(y + 1)/7
Solve 18*b - 45*b**3 + 75/2*b**4 + 6 - 33/2*b**2 = 0.
-2/5, 1
Suppose 0 = 2*b - 0*b - 6. Factor -18*t**b - 2 - 57*t**2 + 2 - 3*t**4 + 30*t**2.
-3*t**2*(t + 3)**2
Let i(k) = -k**4 - k**3 - k**2 + 1. Let y(b) = -4*b**5 - 28*b**4 - 20*b**3 - 20*b**2 + 24. Let l(d) = 24*i(d) - y(d). Let l(x) = 0. Calculate x.
-1, 0, 1
Let o = 3 + 0. Let f(d) be the second derivative of 0 - 1/105*d**6 + 0*d**o + 0*d**2 - 2*d + 1/42*d**4 + 0*d**5. Factor f(b).
-2*b**2*(b - 1)*(b + 1)/7
Let n = -5387/14 + 385. Let v = 1/2 - n. Factor 0*o**2 - 2/7*o**3 + 0 + v*o.
-2*o*(o - 1)*(o + 1)/7
Let x(o) be the third derivative of 0 - 1/2352*o**8 + 1/420*o**6 + 0*o + 0*o**5 + 0*o**3 - 7*o**2 - 1/168*o**4 + 0*o**7. Factor x(n).
-n*(n - 1)**2*(n + 1)**2/7
Let i be (-49)/28*2/(-7). Find x, given that 1/2*x**4 + 0*x**2 + 0 - i*x**5 + 0*x**3 + 0*x = 0.
0, 1
Solve -14*w**4 + 14*w**4 - 2*w**4 = 0.
0
Let d(q) = 3*q + 33. Let k be d(-11). Let f(h) be the third derivative of k - 1/6*h**3 - 3*h**2 + 1/60*h**5 + 0*h + 1/120*h**6 - 1/24*h**4. Factor f(p).
(p - 1)*(p + 1)**2
Let c(k) = 5*k**2 - 7*k + 2. Let d be -10 + 13 - (1 - 0). Let l(s) = -s**2 + s. Let z(h) = d*c(h) + 6*l(h). Factor z(r).
4*(r - 1)**2
Let j(h) = 4*h**2 - 7*h + 5. Let k(b) = -5*b**2 + 8*b - 6. Let a(o) = 6*j(o) + 5*k(o). Let a(n) = 0. What is n?
-2, 0
Let r(q) be the second derivative of 0 - 4/75*q**6 + 0*q**2 - 1/105*q**7 - 1/15*q**3 + q - 2/15*q**4 - 3/25*q**5. Determine w so that r(w) = 0.
-1, 0
Let x(b) = 6*b**3 + 5*b**2 + 5*b. Let d(y) = -15*y**3 - 12*y**2 - 12*y. Let f(r) = -5*d(r) - 12*x(r). Factor f(l).
3*l**3
Let l(i) be the first derivative of i**3/3 - 5*i**2 + 25*i + 12. Find o such that l(o) = 0.
5
Suppose -5*l - 4*s = 5, 0 = l + 4*s + s + 22. Suppose 0 = -l*k + 12. Determine y so that 5*y**4 + y**3 - 4*y**4 - k*y**4 = 0.
0, 1/3
Let y = -1 + 4. Suppose g - 6 = y. Find v such that g*v**2 + 3*v - 9*v - 7*v**2 + 4 + 0 = 0.
1, 2
Let s(a) = -a**4 - a**2 - a + 1. Let g(u) = -8*u**4 - 12*u**3 - 48*u**2 - 32*u + 12. Let z(y) = -g(y) + 12*s(y). Solve z(t) = 0.
-1, 0, 5
Let i = 1401 + -4135/3. Let y = i - 22. Let 0 + 2/3*d**2 + y*d = 0. Calculate d.
-1, 0
Let n(p) = -7*p**3 + 2*p**2 + 2*p + 1. Let w be n(-1). Factor -f**5 - 2*f**5 + 0*f**5 - w - 6*f**2 + 11 + 6*f**3 + 3*f**4 - 3*f.
-3*(f - 1)**3*(f + 1)**2
Factor 23*l**3 - 11*l**3 + l**4 - 4*l**4 - 15*