t is n?
-1, -1/2, 0, 1
Let s be (-16)/1 + -3 - 2. Let q be s/(-7) - (1 - 1). Factor 2/7*d**2 + 0 + 0*d - 2/7*d**q.
-2*d**2*(d - 1)/7
Let a(x) = x**3 - 8*x**2 - 6*x + 3. Let p(m) = -8*m**2 - 6*m + 2. Let k(o) = 2*a(o) - 3*p(o). Factor k(q).
2*q*(q + 1)*(q + 3)
Let y = 134 - 332. Let j be (-2)/(-11) - 228/y. Let -2/3*u - 2/3*u**5 + 2/3 + j*u**3 + 2/3*u**4 - 4/3*u**2 = 0. Calculate u.
-1, 1
Let m(b) = -b + 12. Let n be m(12). Let f be n*((-6)/4)/(-3). Let f*r + 2/5*r**3 + 0 - 1/5*r**4 - 1/5*r**2 = 0. Calculate r.
0, 1
Let u = 41 + -39. Factor 52/3*n**4 + 14/3*n**5 - 4/3 - 2/3*n + 32/3*n**u + 68/3*n**3.
2*(n + 1)**4*(7*n - 2)/3
Let b(d) be the first derivative of d**8/1008 - 3*d**2/2 + 3. Let l(x) be the second derivative of b(x). Let l(k) = 0. Calculate k.
0
Let q(x) be the first derivative of x**2 + 7. Let h(g) = -g**2 - 1. Let s(c) = -2*h(c) - 2*q(c). Let s(n) = 0. What is n?
1
Let s = -7 + 9. Let 0*z**5 + z**2 + s*z**5 + z**2 - 2*z**3 - 2*z**4 = 0. Calculate z.
-1, 0, 1
Let i(p) be the second derivative of p**6/20 - 3*p**4/8 + p**3/2 - 4*p. Factor i(j).
3*j*(j - 1)**2*(j + 2)/2
Let k = -26219/60 + 437. Let l(z) be the third derivative of k*z**5 + 0 - 1/12*z**4 + 1/6*z**3 - 3*z**2 + 0*z. Determine x, given that l(x) = 0.
1
Let i be (-6)/(-4) + (-13)/(-2). Let q = -6 + i. Factor 3*k**q - 4*k**2 + 3*k - k.
-k*(k - 2)
Let u(g) be the third derivative of g**5/150 + g**4/60 - 6*g**2. Determine l so that u(l) = 0.
-1, 0
Let u(o) be the third derivative of -o**8/40320 - o**7/5040 - o**6/1440 + o**5/30 + o**2. Let k(p) be the third derivative of u(p). Find s, given that k(s) = 0.
-1
Suppose 0 = 4*o + 19 - 51. Suppose -2*w + 2*w = 2*w. Factor o*j**3 - 14*j**4 - 8/7*j**2 + 0*j + w.
-2*j**2*(7*j - 2)**2/7
Let g(p) be the third derivative of p**5/390 - 10*p**2. Factor g(k).
2*k**2/13
Suppose 9 = 2*l + 4*h + h, 6 = -2*l - 2*h. Let a = 12 + l. Factor 0*r**2 + 0*r**a - 2/3*r + 4/3*r**3 - 2/3*r**5 + 0.
-2*r*(r - 1)**2*(r + 1)**2/3
Factor 1/5*w + 3/5*w**3 + 0 + 1/5*w**4 + 3/5*w**2.
w*(w + 1)**3/5
Let p be (4 - 0) + (4 - 5). Suppose p*y + 11 = 5*n, -2*n + 20 = 3*n. Find f such that -f - 2*f**y + 4*f**2 + 3*f - 4*f = 0.
0, 1
Let z be (26/8 - -1) + (-2)/8. Let w(d) be the first derivative of -6*d + 3/4*d**z + 2 + 0*d**3 - 9/2*d**2. Factor w(n).
3*(n - 2)*(n + 1)**2
Let p(l) be the first derivative of 2*l**3/27 - 2*l**2/9 - 2*l/3 + 3. Factor p(k).
2*(k - 3)*(k + 1)/9
Let q(w) = 16*w**2 + 16*w. Let v(k) = 11*k**2 + 11*k. Let r(x) = -5*q(x) + 7*v(x). Factor r(c).
-3*c*(c + 1)
Let z = 34/3 - 11. Let w = 5 - 3. Factor 4/3*q - 4/3*q**w - z.
-(2*q - 1)**2/3
Factor -16*d**2 + 4 + 10*d**2 + 7*d**2 - 4*d.
(d - 2)**2
Let y = 15 - 13. Suppose 2*h**y + 2*h + 0*h**3 + h**3 + 0*h**3 + h**2 = 0. What is h?
-2, -1, 0
Let y(m) be the third derivative of -m**6/720 + 7*m**5/360 - 11*m**4/144 + 5*m**3/36 + 18*m**2. Factor y(z).
-(z - 5)*(z - 1)**2/6
Let g = 11 + -7. Suppose -2*i = i - 9. Let 2/3 + 4/3*r + 0*r**2 - 4/3*r**i - 2/3*r**g = 0. What is r?
-1, 1
Suppose 2*u + 3*r + 15 = 4, 4*r = -u - 18. Solve 15*c - 5*c + 4 + 5*c**2 + 3*c**2 + u*c**3 = 0 for c.
-2, -1
Factor -12/5*f**3 - 2/5*f + 8/5*f**4 + 8/5*f**2 - 2/5*f**5 + 0.
-2*f*(f - 1)**4/5
Let w(x) be the second derivative of x**4/6 + 4*x**3/3 + 3*x**2 - 5*x + 1. Factor w(s).
2*(s + 1)*(s + 3)
Suppose 2*t = 3*g + 37, -3*t + 4 + 4 = 5*g. Suppose -4*i + 1 + t = 0. Find v, given that -1 - i + 3*v**2 - 4*v**2 - 4*v = 0.
-2
Suppose 3*d + 5 = -l, 2*l = -3*d - 0*l - 10. Let o(a) be the second derivative of -2*a + d - 1/2*a**3 + 1/12*a**4 + a**2. Factor o(r).
(r - 2)*(r - 1)
Let z = 8 + -20. Let a be (z/90)/(3/(-15)). Factor 0 + a*f**2 + 4/3*f**3 + 2/3*f**4 + 0*f.
2*f**2*(f + 1)**2/3
Let p(m) be the first derivative of 8*m**6/15 + 24*m**5/25 + 9*m**4/20 + m**3/15 + 4. Let p(v) = 0. What is v?
-1, -1/4, 0
Let a(w) be the first derivative of -1/3*w**6 + 0*w**3 - 1/2*w**4 + 0*w + 4/5*w**5 + 1 + 0*w**2. Solve a(d) = 0 for d.
0, 1
Find s, given that 3/2 + 27/4*s + 21/4*s**2 = 0.
-1, -2/7
Let u(d) = 2*d. Let y be u(-2). Let n = y - -6. Let -5*g**4 - 6 + 2*g**n + 6 + 3*g**3 = 0. What is g?
-2/5, 0, 1
Suppose 0 = 3*q + 5*t - 1, -3*t - 1 = -2*t. Let y = q + 0. What is x in -2*x**2 + x + 4 - 2*x**y - 2*x**3 + x = 0?
-2, -1, 1
Let k(n) = -n**5 + n**2 - n - 1. Let r = 4 + -8. Let j(f) = 5*f**5 - 4*f**4 + 6*f**3 - 8*f**2 + 5*f + 4. Let p(g) = r*k(g) - j(g). Factor p(x).
-x*(x - 1)**4
What is q in 9/2*q - 9*q**4 + 3/2*q**5 + 0 + 18*q**3 - 15*q**2 = 0?
0, 1, 3
Suppose -5*k + 2 = -8. Factor -8*s**3 - 2*s**2 - 7*s**2 - s**2 - 4*s - k*s**4.
-2*s*(s + 1)**2*(s + 2)
Let i(b) be the third derivative of b**6/10 + 5*b**5/3 + 28*b**4/3 + 32*b**3/3 + 11*b**2. Let i(a) = 0. What is a?
-4, -1/3
Let h(n) = n**2 + 8*n - 5. Let t be h(-7). Let m be (6/4)/((-27)/t). Determine a, given that m*a - 1/3 - 1/3*a**2 = 0.
1
Determine k, given that -1 + 5*k**3 - 760*k + 750*k + 5*k**2 + 1 = 0.
-2, 0, 1
Factor -55*w - 676 + w**2 - 49*w - 5*w**2.
-4*(w + 13)**2
Factor -23*n**2 - 7*n**3 + 5*n**3 + 9*n + 12 - 7*n**3 + 11*n**2.
-3*(n - 1)*(n + 1)*(3*n + 4)
Let z be ((-1)/3)/((-2)/24). Let x be (((-4)/(-1))/z)/3. What is t in 0*t + x - 1/3*t**2 = 0?
-1, 1
Suppose -2*c = -5*w + 5, 2*c + 4 + 0 = 4*w. Solve c + 14/3*l**2 - 4/3*l = 0.
0, 2/7
Let a = 28 + -28. Let 1/3*g**2 + 0*g + a = 0. Calculate g.
0
Let m(f) be the third derivative of 2*f**7/35 + f**6/8 + f**5/20 - 24*f**2. Factor m(v).
3*v**2*(v + 1)*(4*v + 1)
Suppose -l = -2*l, -3*v + 5*l = 0. Let w(s) be the first derivative of -1/3*s**6 - 4/5*s**5 + v*s**3 - 1/2*s**4 + 0*s - 3 + 0*s**2. Factor w(c).
-2*c**3*(c + 1)**2
Suppose 0 = -3*y + 2*k, -2*k = -7*k + 15. Let h be 2*((-24)/108 - 1/(-3)). Factor -2/9*w + 4/9*w**y - h*w**3 + 0.
-2*w*(w - 1)**2/9
Let p(f) be the first derivative of -f**8/560 - 3*f**7/280 - f**6/40 - f**5/40 + f**3/3 - 1. Let l(g) be the third derivative of p(g). Factor l(x).
-3*x*(x + 1)**3
Let t(f) be the third derivative of 0*f - 1/30*f**4 + 1/525*f**7 + 0 + 0*f**5 - 1/15*f**3 + 4*f**2 + 1/150*f**6. Factor t(b).
2*(b - 1)*(b + 1)**3/5
Let z(f) be the first derivative of f**4/10 + 4*f**3/45 - 37. Determine n so that z(n) = 0.
-2/3, 0
Let g(k) be the first derivative of 3*k**4/8 + 6*k**3 + 27*k**2 - 11. Let g(v) = 0. What is v?
-6, 0
Let p be (2/(-3))/(6/(-27)). Factor -i**2 - 3*i**p + 5*i**3 - i + 5*i**2 - i**5 - 2 + 0 - 2*i**4.
-(i - 1)**2*(i + 1)**2*(i + 2)
Factor 0 - 1/6*y**2 + 0*y - 1/2*y**4 - 1/6*y**5 - 1/2*y**3.
-y**2*(y + 1)**3/6
Let c(u) = -14*u**4 - 18*u**3 + 10*u**2 + 19*u + 4. Let l(x) = x. Suppose 3*a + 0 + 3 = 0. Let t(p) = a*l(p) + c(p). Suppose t(k) = 0. What is k?
-1, -2/7, 1
Let f(s) = s + 1. Let b(q) = 2*q**2 - 3*q + 1. Let y be (-4 + 5)*(-2 - -3). Let n(c) = y*b(c) - f(c). Factor n(h).
2*h*(h - 2)
Factor -6*x**4 - 12*x - 42*x**2 - 3*x + 3*x**5 - 9*x**3 - 27*x**3.
3*x*(x - 5)*(x + 1)**3
Let j(z) be the first derivative of z**7/42 + z**6/6 + z**5/2 + 5*z**4/6 + 5*z**3/6 + z**2/2 + z - 1. Let l(v) be the first derivative of j(v). Factor l(i).
(i + 1)**5
Factor -2/11*a - 2/11*a**2 + 4/11.
-2*(a - 1)*(a + 2)/11
Let w be -42*-2*4/16. Let -2*b**4 + w*b**3 - 4*b + 6*b**2 - 21*b**3 = 0. Calculate b.
-2, 0, 1
Suppose -5*u**4 + 4*u**4 + u**3 + u**2 + 0*u**2 - u = 0. What is u?
-1, 0, 1
Let f = -2866/5 + 574. Factor 12/5*q + f*q**2 + 8/5.
4*(q + 1)*(q + 2)/5
Let r = -4 + 11. Let o(w) = -w**3 + 6*w**2 + 8*w - 5. Let z be o(r). Factor 3 + 8*g**z + 3 - 2*g - 5*g - 3*g**3 - 4.
-(g - 1)**2*(3*g - 2)
Let d be 2/(-7) - (-60)/(-35). Let l be 1*0*(d - -1). Factor 0 + 4/3*a**3 - 2/3*a + l*a**4 + 0*a**2 - 2/3*a**5.
-2*a*(a - 1)**2*(a + 1)**2/3
Let f(d) = -d**2 - 5*d. Let s be f(-5). Suppose 0 = a - 2*q + 8, 0 = -s*q - 3*q + 12. Factor 2/5*p**2 + 0*p - 2/5*p**3 + a.
-2*p**2*(p - 1)/5
Let h = -8 + 12. Suppose 4*c + h = 6*c. What is l in 0*l + 0 + l**3 + 1/2*l**c = 0?
-1/2, 0
Let k be ((-144)/(-6))/6 + 0. Factor 0 + 5/6*v**3 - 4/3*v**2 + 2/3*v - 1/6*v**k.
-v*(v - 2)**2*(v - 1)/6
Suppose -22 = -4*m - 10. Determine n so that 2*n**5 + 34*n**4 + 2*n**5 - 24*n**4 + 4*n**m = 0.
-2, -1/2, 0
Suppose -c - 2*c = 2*z - 20, -4*c = -4*z. Let y(d) be the second derivative of 1/21*d**3 + 0*d**2 - 1/70*d**5 - 1/42*d**c + 1/105*d**6 - 3*d + 0. Factor y(s).
2*s*(s - 1)**2*(s + 1)/7
Let i(r) = -r**2 - 1. Let c(a) = -1100*a**2 - 132*a