e -1 + 0/(-2) + g. Factor o**2 + o**5 + o**2 - o**5 + 4*o - 6*o**3 - 2*o**4 + 2*o**y.
2*o*(o - 2)*(o - 1)*(o + 1)**2
Let o(s) = 2*s**3 + s**2 - 3. Let u(l) = 3*l**3 + 2*l**2 - 5. Let w(p) = 10*o(p) - 6*u(p). Determine y so that w(y) = 0.
0, 1
Suppose 29 = 4*n + 21. Let d be (-1 - -1)*-1 + n. Suppose 2/5*m**d + 0 - 2/5*m = 0. Calculate m.
0, 1
Let h = -7/53 + 508/3445. Let x = h - -5/13. Solve 8/5*k**2 - x - 4/5*k**5 - 6/5*k**4 + 4/5*k**3 + 0*k = 0.
-1, 1/2, 1
Let g(t) = -4*t**5 - 12*t**4 + 5*t**3 + 13*t**2 - 22*t - 1. Let u(n) = n**5 + 4*n**4 - 2*n**3 - 4*n**2 + 7*n. Let d(b) = -6*g(b) - 21*u(b). Factor d(h).
3*(h - 2)*(h - 1)**3*(h + 1)
Suppose 10*i - 127 = -87. Suppose -1/5*k + 0 + 0*k**3 + 1/5*k**5 - 2/5*k**i + 2/5*k**2 = 0. What is k?
-1, 0, 1
Suppose 4*u - 5*r - 17 = u, 4*u + 3*r - 13 = 0. Factor 0*n**4 - 2*n**3 - 2*n + 2*n + n**u.
n**3*(n - 2)
Let j(u) be the second derivative of -u**6/1260 + u**5/210 - u**4/84 + u**3/2 - 2*u. Let t(h) be the second derivative of j(h). Solve t(d) = 0.
1
Let z(a) = 2*a**3 - 14*a**2 - 10*a. Let l(u) = -u**3 + u**2 + u. Let i(v) = -6*l(v) - z(v). Factor i(n).
4*n*(n + 1)**2
Suppose 2*b = -4*k + 10, 2*k - 17 = -4*b - 3*k. Let z be b*(-2 + 3 + 0). Factor 0*v**z + 10*v**3 + 28*v**2 - 2*v**2 - 5*v**2 - 4.
(v + 2)*(2*v + 1)*(5*v - 2)
Let c(n) be the first derivative of -n**6/3 + 4*n**5/5 - n**4/2 + 19. Suppose c(h) = 0. Calculate h.
0, 1
Suppose -4 = -2*a + 2*c - 0, 4*a = 3*c + 6. Let s(q) be the second derivative of -3*q - 1/10*q**5 + 1/6*q**4 + a*q**3 + 0*q**2 + 0. Factor s(w).
-2*w**2*(w - 1)
Let j be 2/8*(11 + 0 - 5). Let d = -1/8 - -5/8. Factor 0*t - t**2 - d*t**5 + 0*t**4 + 0 + j*t**3.
-t**2*(t - 1)**2*(t + 2)/2
Let a(n) be the second derivative of -n**7/1680 + n**6/360 + n**5/240 - n**4/24 - n**3/6 + 2*n. Let u(s) be the second derivative of a(s). Factor u(v).
-(v - 2)*(v - 1)*(v + 1)/2
Let b(z) be the third derivative of 4*z**2 + 1/30*z**5 + 1/6*z**3 + 0 + 1/180*z**6 + 0*z + 1/12*z**4. Let w(u) be the first derivative of b(u). Factor w(q).
2*(q + 1)**2
Let n be (-46)/(-14) - 17/(833/14). Suppose 14*y**4 + 0 - 69/5*y**n - 4/5*y - 5*y**5 + 28/5*y**2 = 0. Calculate y.
0, 2/5, 1
Let t be (-1)/2*(-5 - (0 + 5)). Solve -2/3*y**3 + 2/3*y**2 + 0*y + 2/3*y**t + 0 - 2/3*y**4 = 0 for y.
-1, 0, 1
Let b = 13 + -18. Let t be ((-3)/b)/((-60)/(-75)). Suppose -y + t*y**3 + 1/4*y**4 + 0*y**2 + 0 = 0. Calculate y.
-2, 0, 1
Let a = 19 - 17. Let q(w) be the second derivative of -1/12*w**4 + 1/6*w**3 + 0 + 0*w**a - 2*w. Factor q(n).
-n*(n - 1)
Let v(w) = 8*w**3 + 3. Let p(x) = 15*x**3 + 5. Let z(a) = 3*p(a) - 5*v(a). Factor z(l).
5*l**3
Suppose -n + 2*n - 5 = 0. Let f(u) be the first derivative of 0*u**3 + 0*u**4 + 0*u - 1/5*u**n + 2 + 0*u**2. Let f(l) = 0. What is l?
0
Factor 10*o**2 + 5*o**5 - 2 - 5*o**3 + 9 - 7 - 10*o**4.
5*o**2*(o - 2)*(o - 1)*(o + 1)
Factor -7/3*t**2 + 0 - 4*t - 1/3*t**3.
-t*(t + 3)*(t + 4)/3
Let x be 12/2 + -4 - (-85)/(-50). Let u(f) be the second derivative of 7/4*f**4 + 0 - f**3 - x*f**6 - 3/10*f**5 + 2*f + 0*f**2. Solve u(z) = 0.
-2, 0, 1/3, 1
Factor 3/2*z + 9/4 - 3/4*z**2.
-3*(z - 3)*(z + 1)/4
Let -77 - 36*m - 31 - 4*m**2 + m**2 = 0. Calculate m.
-6
Let c(g) = g. Let z be c(4). Suppose 0 = -f + z*f. Suppose 1/4*l**2 + f*l - 1/4 = 0. Calculate l.
-1, 1
Let a(z) be the third derivative of z**10/604800 + z**9/120960 + z**8/80640 - z**5/60 - z**2. Let j(f) be the third derivative of a(f). Factor j(w).
w**2*(w + 1)**2/4
Factor 2/11*c - 2/11 + 2/11*c**2 - 2/11*c**3.
-2*(c - 1)**2*(c + 1)/11
Let n = -3/409 + 589/24540. Let t(b) be the second derivative of 0 - 2/5*b**2 - n*b**4 - 2*b - 2/15*b**3. Suppose t(v) = 0. Calculate v.
-2
What is l in -1176*l**2 - 6 + 2 + 0 - 28 + 1372*l**3 + 336*l = 0?
2/7
Let v(z) be the first derivative of z**3/5 - 6*z**2/5 - 3*z + 7. Suppose v(b) = 0. Calculate b.
-1, 5
Let r(n) be the third derivative of -n**8/336 + n**7/210 + n**6/40 - n**5/60 - n**4/12 + 2*n**2. Determine l so that r(l) = 0.
-1, 0, 1, 2
Let c(k) be the first derivative of 0*k - 1/2*k**4 + 0*k**3 + 1/6*k**6 - 1/5*k**5 - 4 + 0*k**2. Find a, given that c(a) = 0.
-1, 0, 2
Suppose 3*o - 3*n - 99 = 0, -o + 0*n - n = -25. Let w = o + -1. What is z in -8 - 27*z**3 - 8*z + 0 - w*z - 54*z**2 = 0?
-2/3
Let x(g) = -g**2 - 7*g + 10. Let m be x(-8). Suppose 0 = -m*w + 5*s + 7, 2*w + 4 = 4*w - 2*s. Find b, given that -1/4*b**2 - b - w = 0.
-2
Suppose 8*y = -9*y + 2*y. Suppose 2/5*n + 0 - 4/5*n**3 + 0*n**2 + 2/5*n**5 + y*n**4 = 0. What is n?
-1, 0, 1
Let i(m) = -8*m**5 - 5*m**4 + 3*m**3 + 5*m**2 + 5*m - 5. Let q(r) = -15*r**5 - 9*r**4 + 6*r**3 + 9*r**2 + 9*r - 9. Let a(t) = -9*i(t) + 5*q(t). Factor a(u).
-3*u**3*(u - 1)*(u + 1)
Let n(l) be the third derivative of -l**8/100800 + l**7/6300 - l**6/900 + l**5/10 - 4*l**2. Let g(c) be the third derivative of n(c). Factor g(k).
-(k - 2)**2/5
Let u(y) be the first derivative of -y**8/7560 + y**7/1260 - y**6/540 + y**5/540 - y**3 + 3. Let c(a) be the third derivative of u(a). Factor c(t).
-2*t*(t - 1)**3/9
Let s(v) be the first derivative of -3*v**5/5 + v**3 + 4. Solve s(o) = 0 for o.
-1, 0, 1
Suppose 0 = t + 9*t - 20. Factor -12/7*i + 3/7*i**t + 12/7.
3*(i - 2)**2/7
Suppose -6*w**4 + 2*w**2 + 7*w**4 - w - 3*w**4 + w**5 = 0. Calculate w.
-1, 0, 1
Let l(c) be the second derivative of c**6/2160 + c**5/720 - c**4/72 + 5*c**3/6 - 4*c. Let w(u) be the second derivative of l(u). Factor w(o).
(o - 1)*(o + 2)/6
Let j = 111/10 - 979/90. Find o, given that -2/9*o + 0 - j*o**2 = 0.
-1, 0
Let c(z) be the third derivative of -z**5/120 + z**4/12 - z**3/3 - 7*z**2. Factor c(g).
-(g - 2)**2/2
Determine b, given that -b**3 + 0 + b**2 + 1/3*b**4 - 1/3*b = 0.
0, 1
Let v(q) be the second derivative of -q**6/180 - q**5/30 - q**4/18 - 3*q**2/2 + 4*q. Let i(u) be the first derivative of v(u). Factor i(g).
-2*g*(g + 1)*(g + 2)/3
Let k be 1/5*(-8 - -9). Factor -1/5*t - 3/5*t**2 + k*t**3 + 1/5 + 2/5*t**4.
(t - 1)*(t + 1)**2*(2*t - 1)/5
Let t be ((-8)/(-10))/(5 + (-19)/5). Let i be (2 - -3)*6/10. Factor -t*n**2 - 2/3*n**i + 2/3*n + 2/3.
-2*(n - 1)*(n + 1)**2/3
Let g(m) = -m**3. Let u(y) = 135*y**3 + 65*y**2 - 65*y + 10. Let i(j) = 5*g(j) - u(j). Factor i(c).
-5*(c + 1)*(4*c - 1)*(7*c - 2)
Let j(o) be the second derivative of 3*o - 1/8*o**4 - 1/8*o**2 - 1/120*o**6 - 1/6*o**3 - 1/20*o**5 + 0. Let j(a) = 0. What is a?
-1
Suppose -3*g + 16 = 2*h, 0 = -2*h + 3*h - 4*g + 14. What is l in -l**2 + 3*l - 11*l + 7*l**h + 2 = 0?
1/3, 1
Let s be (-3)/7 + 62/14. Let a(x) be the second derivative of 1/6*x**s + 0 + 0*x**2 + 0*x**3 + x + 1/20*x**5. Factor a(j).
j**2*(j + 2)
Let m(y) = -8*y**4 - 7*y**3 + 3*y**2 - 5*y + 5. Let k(t) = 40*t**4 + 36*t**3 - 16*t**2 + 24*t - 24. Let p(h) = 5*k(h) + 24*m(h). Factor p(j).
4*j**2*(j + 2)*(2*j - 1)
Suppose 0 = 5*p + 31 - 11, 2*p = 5*u - 28. Let i(q) be the second derivative of 3*q + 0 - 1/2*q**2 + 1/12*q**u + 0*q**3. Factor i(o).
(o - 1)*(o + 1)
Let t(v) be the first derivative of -v**8/1680 + v**6/300 - v**4/120 + v**2/2 + 3. Let b(k) be the second derivative of t(k). Find q such that b(q) = 0.
-1, 0, 1
Let f(s) be the third derivative of -1/150*s**5 - 1/30*s**4 - 1/15*s**3 + 2*s**2 + 0 + 0*s. Let f(q) = 0. What is q?
-1
Let r(o) be the second derivative of 1/70*o**5 + 1/42*o**4 - 1/7*o**2 + 0 - 3*o - 1/21*o**3. Determine w, given that r(w) = 0.
-1, 1
Let c be (10/40)/(15/24 - 0). Factor -2/5*v**3 + 2/5*v - c*v**2 + 2/5.
-2*(v - 1)*(v + 1)**2/5
Suppose 6 - 3 = 3*x. Let v(g) be the first derivative of 1/2*g**2 - x + 1/6*g**3 + 1/2*g. Factor v(a).
(a + 1)**2/2
Factor -10/3*y - 2/3*y**2 - 8/3.
-2*(y + 1)*(y + 4)/3
Solve 32 - 2*a - 4*a**3 - 59*a + 24*a**2 + 13*a = 0.
2
Let p(t) be the third derivative of t**5/80 - t**4/4 + 7*t**3/8 + 8*t**2. Factor p(h).
3*(h - 7)*(h - 1)/4
Suppose 2*s + 12 - 20 = 0. Suppose t = 5*d - 20, -s*d - 3 = 4*t - 19. Factor 4/11*m**5 + t*m**3 + 0*m + 0*m**2 + 0 - 2/11*m**4.
2*m**4*(2*m - 1)/11
Let a(v) = v**2 + 5*v + 2. Let j be a(-5). Let d(x) be the first derivative of 2 + 25/2*x**4 + 38/3*x**3 + j*x + 7*x**2 + 32/5*x**5 + 4/3*x**6. Factor d(s).
2*(s + 1)**3*(2*s + 1)**2
Let x(j) be the third derivative of -11*j**6/200 - 9*j**5/100 + j**4/20 - 17*j**2. Factor x(l).
-3*l*(l + 1)*(11*l - 2)/5
Let x be 0*((-3)/6)/1. Let u be 8/3 + (-2 - x). Factor -2/3*w**2 - 