- y. Let c(l) = j*v(l) - 18*o(l). Factor c(n).
2*n**2*(n - 1)*(n + 1)
Let a(i) be the first derivative of i**4/42 - 3*i - 2. Let o(u) be the first derivative of a(u). Factor o(g).
2*g**2/7
Let y = 3151/4 + -784. Factor y*u**2 + 25/4*u**3 - 9/4*u + 1/4.
(u + 1)*(5*u - 1)**2/4
Suppose -2*l**4 + 2*l**4 - 3*l**4 + 3*l**2 = 0. Calculate l.
-1, 0, 1
Let y(u) be the third derivative of -9*u**8/392 - 18*u**7/245 - 3*u**6/35 - 4*u**5/105 + 19*u**2. Factor y(f).
-2*f**2*(3*f + 2)**3/7
Let y(s) = 10*s**2 + 7*s - 3. Let r(f) = 3*f**2 + 2*f - 1. Let n(j) = -14*r(j) + 4*y(j). Factor n(i).
-2*(i - 1)*(i + 1)
Let i(b) = 8*b**2 - 1. Let z be i(-1). Let x be z/(-42) - (-2)/4. Factor -2/3*v**2 + x*v**3 + 1/3*v + 0.
v*(v - 1)**2/3
Let d = 0 + 1. Let b be 13/4 - d/4. Determine p so that 2*p**2 - 2*p**3 + 1 + 6*p - p**5 - 3*p**4 - b*p + 0*p = 0.
-1, 1
Let g(z) = z - 4. Let m be g(6). Let d(o) be the second derivative of -1/36*o**4 - 1/60*o**5 - o + 1/6*o**m + 1/18*o**3 + 0. Suppose d(c) = 0. Calculate c.
-1, 1
Let f(u) be the first derivative of 2*u**4/7 - 68*u**3/21 + 80*u**2/7 - 64*u/7 + 10. Find z, given that f(z) = 0.
1/2, 4
Factor -4*a**4 + 12*a**2 + a**3 - 2 + 0*a**3 + 4*a - 5*a**3 - 6.
-4*(a - 1)**2*(a + 1)*(a + 2)
Let l(h) be the third derivative of 0*h - 1/840*h**7 - 1/96*h**4 + 0 + 0*h**3 - h**2 + 1/480*h**6 + 1/240*h**5. Factor l(q).
-q*(q - 1)**2*(q + 1)/4
Let p(b) = b - 5. Let c be p(6). Solve -17*a**2 - 4*a**2 - 1 - 15*a + 6 + c = 0 for a.
-1, 2/7
Let n(m) be the first derivative of -1 + 1/2*m**4 + 0*m + 0*m**3 - m**2. Factor n(c).
2*c*(c - 1)*(c + 1)
Determine s, given that 3/7*s**4 - 6/7*s**3 + 0 + 6/7*s - 3/7*s**2 = 0.
-1, 0, 1, 2
Let p(t) be the third derivative of t**8/3360 - t**7/1260 - t**6/360 + t**5/60 + t**4/6 + 3*t**2. Let h(r) be the second derivative of p(r). Factor h(x).
2*(x - 1)**2*(x + 1)
Suppose -5*u + u = -8. Suppose -5*v + 22 = -2*y, -u*v + 2*y + 5 = -5. Let 0 - 4/3*f**3 + 2/3*f**5 + 0*f**v + 0*f**2 + 2/3*f = 0. What is f?
-1, 0, 1
Factor -1 - 31*r**2 + 6*r**2 - 60*r**3 - 7*r - 5*r - 21*r**2 - 25*r**4.
-(r + 1)**2*(5*r + 1)**2
Let o(x) be the second derivative of 0*x**6 + 1/42*x**7 + 0 + 0*x**2 + 4*x - 1/10*x**5 + 1/6*x**3 + 0*x**4. Factor o(r).
r*(r - 1)**2*(r + 1)**2
Let n(a) be the first derivative of -a**6/1080 + a**5/360 - 2*a**3/3 - 5. Let k(l) be the third derivative of n(l). Factor k(d).
-d*(d - 1)/3
Let u(c) = c**2 - 2*c - 3. Let m be u(4). Factor 1/2*n**4 + 1/2*n**3 + 0 - 1/2*n**m + 0*n - 1/2*n**2.
-n**2*(n - 1)**2*(n + 1)/2
Let h(p) be the second derivative of p**4/90 - 2*p**3/45 + 26*p. Let h(n) = 0. Calculate n.
0, 2
Let c(w) = 7*w - 9. Let g be c(7). Let j be (-1 - -3)/(g/5). What is i in -1/4*i**2 + 0 + j*i = 0?
0, 1
Let y = 53 - 52. Let s(z) be the first derivative of -1/3*z**3 - y + 0*z - 1/4*z**4 + 0*z**2. Factor s(t).
-t**2*(t + 1)
Let o be (4 + 0)/(4/2). Suppose 4*x = b - 0*b + 9, -3*x - b = -5. Find r such that 0*r**2 - x*r**2 - 8*r + 8 + 4*r**o = 0.
2
Let h(l) = l**2 - 3*l + 2. Let d be h(3). Let x be (-6)/33 + d/11. Factor 2/3*i**3 - 1/3*i**5 - 1/3*i + 0*i**2 + x*i**4 + 0.
-i*(i - 1)**2*(i + 1)**2/3
Suppose -n + 0*n + 4*p + 19 = 0, 0 = -2*p - 6. Suppose n*s - 2*s = 0. Factor -1/4*r**3 + s*r**2 + 1/4*r + 0.
-r*(r - 1)*(r + 1)/4
Let d(g) be the second derivative of -g**8/560 + g**6/40 - g**5/20 + 7*g**3/6 + 8*g. Let z(n) be the second derivative of d(n). Suppose z(r) = 0. Calculate r.
-2, 0, 1
Determine f so that 2/5*f**2 + 2/5*f**3 - 2/5*f - 2/5*f**4 + 0 = 0.
-1, 0, 1
Let j = -43 - -46. Let 1/3*g**2 + 0*g - 2/3*g**j + 0 + 1/3*g**4 = 0. What is g?
0, 1
Suppose 0 = -5*w + 5*l + 75, 4*w - 45 = -l - 0*l. Let h(j) be the first derivative of -6*j**2 - 3 + 2*j**3 + 0*j**3 + w*j - j**3. Factor h(b).
3*(b - 2)**2
Let i(k) be the first derivative of -k**5/5 - 3*k**4/4 - k**3 - k**2/2 - 18. Determine a, given that i(a) = 0.
-1, 0
Let c(o) be the first derivative of o**3/2 - 3*o**2 - 17. Factor c(q).
3*q*(q - 4)/2
Let b(y) = 2*y**2 - 2*y + 3. Let j be b(3). Let u be ((-4)/10)/((-3)/j). Let 0 + 2/5*d**3 - 4/5*d**u + 2/5*d = 0. What is d?
0, 1
Let f be 2/6 - 56/(-12). Factor -2*g**4 - 4*g**4 - 4*g**3 + 6*g + 0*g**3 + 2 + 4*g**2 - 2*g**f.
-2*(g - 1)*(g + 1)**4
Suppose i + 9 = 4*i. Suppose t = 1, i*h - 2*h + 5*t = 7. Solve -3*u**2 - 9*u**4 - 2*u**3 + u**h + 2*u**2 = 0 for u.
-2/9, 0
Let v be 24/13 + 2/13. Suppose 3*p - 14 = -p + f, 2*p - 2*f = 10. What is z in 3*z**5 + 11*z**3 + 7*z**p + 5*z**5 - 2*z**v - 22*z**4 - 2*z = 0?
-1/4, 0, 1
Let z(t) = t**2 - 14*t + 24. Let i be z(12). Let d(l) be the third derivative of 1/15*l**4 - 4/15*l**3 + 3*l**2 - 1/150*l**5 + 0 + i*l. Factor d(f).
-2*(f - 2)**2/5
Suppose l = -2*b + 4, -5*l - 3 - 7 = -5*b. Find v, given that -2*v**2 + 3*v - b*v**2 - 2*v**2 + 3 = 0.
-1/2, 1
Let d(o) be the second derivative of 10*o**6/3 + 2*o**5 + o**4/3 + 28*o. Factor d(q).
4*q**2*(5*q + 1)**2
Let y be 2 + 1 - (-1 - -3). Suppose 3*r + 3 = -12, 2*l - y = -r. Factor 6*h**5 - h**2 + 6*h**l - 8*h**5 + 5*h**2.
-2*h**2*(h - 2)*(h + 1)**2
Let m be 6/12*4/10. Let z(s) = -s**2 - 9*s - 8. Let r be z(-8). Let 0*u**4 + r + 0*u**2 + 1/5*u**3 - m*u**5 + 0*u = 0. Calculate u.
-1, 0, 1
Let q be 6 + 351/(-63) + (-1)/(-7). Factor 6/7*v**2 + q*v + 2/7*v**3 + 0.
2*v*(v + 1)*(v + 2)/7
Suppose -35*r = -31*r - 20. Let w(z) be the third derivative of -7/150*z**r + 0 - 1/150*z**6 + 0*z + 4/15*z**3 - 1/15*z**4 - z**2. Suppose w(h) = 0. What is h?
-2, 1/2
Let k = -31 - -44. Suppose k*g = 11*g. Factor -4/5*i**3 - 2/5 + 2/5*i**4 + g*i**2 + 4/5*i.
2*(i - 1)**3*(i + 1)/5
Let h(n) = -n**3 - n**2 + n + 5. Let z(d) = 2*d**3 + d**2 - 2*d - 6. Let x(a) = -5*h(a) - 4*z(a). Factor x(t).
-(t - 1)*(t + 1)*(3*t - 1)
Let q(v) be the first derivative of -7*v**4 + 44*v**3/3 + 20*v**2 - 32*v - 43. Factor q(c).
-4*(c - 2)*(c + 1)*(7*c - 4)
Let r be 2 + -3 - (0 + -5). Suppose 0 = 5*y - 0*y - 15. Suppose -58*z**y + 3*z**3 + r + 77*z**2 + 6*z**3 - 32*z = 0. Calculate z.
2/7, 1
Let y(k) = -27*k**3 - 37*k**2 - 10*k + 7. Let o(i) = 13*i**3 + 18*i**2 + 5*i - 3. Let g(z) = 7*o(z) + 3*y(z). Suppose g(p) = 0. Calculate p.
-1, -1/2, 0
Let c(o) be the first derivative of o**6/30 - o**5/10 + o**3/3 - o**2/2 - o - 1. Let h(a) be the first derivative of c(a). Factor h(r).
(r - 1)**3*(r + 1)
Let h be (0 - 0)/(9 - 7). Let n = h - -2. Factor -7/4*q**3 + 0*q + n*q**4 + 0 - 3/4*q**5 + 1/2*q**2.
-q**2*(q - 1)**2*(3*q - 2)/4
Let i(n) be the first derivative of n**6/3 + 8*n**5/5 + 2*n**4 - 21. What is h in i(h) = 0?
-2, 0
Let o(y) be the first derivative of y**5/20 - 7*y**4/8 + 11*y**3/4 + 14*y**2 + 16*y - 54. Let o(x) = 0. What is x?
-1, 8
Let m(z) be the third derivative of -z**2 + 0*z + 0*z**3 - 1/180*z**5 + 1/72*z**4 + 0. Find t, given that m(t) = 0.
0, 1
Factor 4/7 - 2/7*t**3 - 3/7*t**2 + 1/7*t**4 + 4/7*t.
(t - 2)**2*(t + 1)**2/7
Let i be (-85)/13 - 70/(-10). Solve 0 - i*l**5 + 4/13*l**2 + 16/13*l**4 - 14/13*l**3 + 0*l = 0 for l.
0, 2/3, 1
Suppose 0 = 10*n - 5*n - 10. Solve -2/5*u + n*u**2 + 0 = 0.
0, 1/5
Let d(m) = -9*m**4 - 3*m**3 + 23*m**2 + 19*m - 9. Let n(k) = -5*k**4 - 2*k**3 + 12*k**2 + 10*k - 5. Let l(s) = 6*d(s) - 11*n(s). Let l(c) = 0. What is c?
-1
Factor 11/3*z - 1 + 4/3*z**2.
(z + 3)*(4*z - 1)/3
Let n(p) be the third derivative of p**5/240 + 5*p**4/48 - p**2 + 11*p. Let n(b) = 0. Calculate b.
-10, 0
Let c(s) = -s**2 - s + 1. Let z(w) = w**3 - 5*w**2 - 8*w + 7. Let m(i) = 10*c(i) - 2*z(i). Suppose m(b) = 0. Calculate b.
-2, 1
Let n(f) = 35*f**2 - 95*f - 27. Let a(h) = -1. Let q(s) = -3*a(s) - n(s). Let q(g) = 0. What is g?
-2/7, 3
Suppose -p + 19 + 3 = 2*k, -2*p + 41 = 3*k. Factor 0 - p*h**3 + h + 24*h**2 - 17*h + 4*h**4 + 4.
4*(h - 1)**4
Let s(o) be the third derivative of -o**10/90720 + o**8/10080 - o**6/2160 - o**4/8 - o**2. Let t(r) be the second derivative of s(r). Factor t(f).
-f*(f - 1)**2*(f + 1)**2/3
Let t(f) be the second derivative of -f**5/110 + f**4/66 + 2*f**3/33 + f. Factor t(i).
-2*i*(i - 2)*(i + 1)/11
Let w(q) be the third derivative of q**7/210 + q**6/60 - q**5/60 - q**4/12 - 7*q**2. Let w(y) = 0. What is y?
-2, -1, 0, 1
Let x(y) = 2*y**2 - 3*y. Let o be x(2). Let -o*g**5 + 9*g**4 - 9*g**4 - 2*g + 4*g**3 = 0. What is g?
-1, 0, 1
Let d(x) be the first derivative of 1/3*x**2 + 4 + 2/27*x**3 + 4/9*x. Find g such that d(g) = 0.
-2, -1
Let b(z