 + 5*v - 33 = -3*a, 0 = -5*a - v + 67. Let i = -12 + a. Find c such that 1/2*c**i - 1/2*c - 1 = 0.
-1, 2
Let b(k) = -2*k + 7*k**3 - 7*k**4 + k + k**2 + 5*k - 6*k**3. Let d(s) = 2*s**4 - s. Let t(y) = 6*b(y) + 22*d(y). Factor t(o).
2*o*(o + 1)**3
Let l(z) = -4*z**3 + 28*z**2 - 40*z + 3. Let q(f) = 36*f**3 - 252*f**2 + 360*f - 28. Let c(t) = -28*l(t) - 3*q(t). Factor c(o).
4*o*(o - 5)*(o - 2)
Let y(p) be the second derivative of 2*p + 1/14*p**7 - 3*p**2 + 0 + 1/2*p**4 - 3/5*p**5 + 3/2*p**3 + 0*p**6. Factor y(z).
3*(z - 1)**3*(z + 1)*(z + 2)
Let n = 57/10 + -11/2. Factor 0 - 1/5*i**2 + 1/5*i**4 - 1/5*i + n*i**3.
i*(i - 1)*(i + 1)**2/5
Suppose 5*c - 9*c = 0. Suppose c*x + 4*x = 12. Suppose 2/3*j**2 + 0*j**x - 1/3*j**4 + 0*j - 1/3 = 0. Calculate j.
-1, 1
Let q = -9 + 14. Suppose -b + 0 = z + 1, 2*b + q = z. Solve z - 3*i**2 + 2*i + 4*i**2 + 0 = 0 for i.
-1
Let p be (16/(-4) - -78)/2. Let v = p + -32. Factor -1/6*x**2 + 0 - 1/2*x**4 - 1/6*x**v + 0*x - 1/2*x**3.
-x**2*(x + 1)**3/6
Suppose -3*r = -4*r + 2. Suppose 0*o - 4*o - o**r + 3*o = 0. What is o?
-1, 0
Find n such that 0*n + 1/4*n**5 + 7/4*n**2 - 1 - 1/4*n**3 - 3/4*n**4 = 0.
-1, 1, 2
Let m(x) = 12*x**4 + 8*x**3 - 40*x**2 - 4*x + 12. Let n(k) = -k**2 - k + 1. Let f(r) = -m(r) + 12*n(r). Determine j, given that f(j) = 0.
-2, 0, 1/3, 1
Let s = 16 + -7. Suppose -3*u - 4*n = -n + s, -21 = -3*u + 3*n. Suppose 2*i**u - i - i - 2*i = 0. Calculate i.
0, 2
Let m = -443/3 - -148. Factor 2/3 - 1/3*y**2 - m*y.
-(y - 1)*(y + 2)/3
Let a(g) = g**2 - 1. Let m be a(5). Find d such that -m*d**2 - 12*d - 5*d**4 + d**4 + d**4 - 15*d**3 + 0*d**4 = 0.
-2, -1, 0
Let m be 21/900*11 + (-1)/4. Let y(d) be the third derivative of -2*d**2 - 1/30*d**4 + 0*d**3 + 0 - m*d**5 + 0*d. What is p in y(p) = 0?
-2, 0
Factor 12/7 + 36/7*i**3 + 60/7*i**2 + 8/7*i**4 + 44/7*i.
4*(i + 1)**3*(2*i + 3)/7
Let a(i) be the first derivative of 7*i**6/33 - 6*i**5/5 - 17*i**4/22 + 2*i**3 + 10*i**2/11 - 10. Let a(h) = 0. What is h?
-1, -2/7, 0, 1, 5
Let y be 6/7*(21/12 - 0). Let t(f) be the first derivative of 1/2*f - y*f**3 + 3 - 5/8*f**2. Solve t(a) = 0 for a.
-1/2, 2/9
Determine v, given that -73*v + 21*v**2 - v**2 + 61*v = 0.
0, 3/5
Let q be (-2 - 17 - 1)/(-1). Suppose -3*j - 2*j + q = 0. Factor 8/5*o + 2/5*o**j + 2/5 + 12/5*o**2 + 8/5*o**3.
2*(o + 1)**4/5
Let c(o) = 6*o**2 - 1 + 0 - 6*o - 11. Let h(f) = 3*f**2 - 3*f - 6. Let s(t) = 5*c(t) - 9*h(t). Factor s(y).
3*(y - 2)*(y + 1)
Let f(j) be the third derivative of -j**5/360 + j**4/144 + j**3/18 - 7*j**2. Factor f(p).
-(p - 2)*(p + 1)/6
Factor 14*k**2 - 12*k - 42 + 19 + 21.
2*(k - 1)*(7*k + 1)
Let a(j) = -j**2 + 16*j - 20. Let t be a(14). Let t*q**3 - 2*q**3 - q**2 - 2*q**2 - 3*q**4 = 0. Calculate q.
0, 1
Let h be (1 - 2/(-8)) + 48/(-48). Factor h*p**3 + p + 0 + p**2.
p*(p + 2)**2/4
Let v(a) = a**3 + 7*a**2 + a + 8. Let h be v(-7). Let n be (-11)/(-21) + h/3. Determine p so that 2/7 + n*p**2 - 6/7*p - 2/7*p**3 = 0.
1
Let l(q) = q**2 - 3*q - 6. Let x be l(5). Suppose 1 = 2*f + 2*u - 5, 2*f = -x*u. What is i in 3*i**2 + f - 8 - 11*i**2 + 10*i = 0?
1/4, 1
Let y(f) = -f. Let u be y(-2). Factor 2*l**u - 6*l**2 - 8*l**4 + 12*l**4.
4*l**2*(l - 1)*(l + 1)
Solve 3/4*c**3 + 0 - 1/2*c**4 + c**2 - 1/4*c**5 - c = 0.
-2, 0, 1
Factor 0*p**5 - 11*p**2 + p + 26*p**2 + 21*p**4 - 4*p - 6*p**5 - 27*p**3.
-3*p*(p - 1)**3*(2*p - 1)
Suppose -b + 9 = -10. Let m be 3 - -2*b/(-14). Suppose 2/7 - 4/7*g + m*g**2 = 0. What is g?
1
Let b be (-2 - -1)/(196/(-84)). Let -12/7*y + 12/7 + b*y**2 = 0. Calculate y.
2
Factor 0*f**2 + 2/7*f**3 + 0 - 2/7*f**5 + 0*f**4 + 0*f.
-2*f**3*(f - 1)*(f + 1)/7
Factor 2*a**2 - 4*a - 5*a**2 + 8 + 2*a**2 - 3*a**2.
-4*(a - 1)*(a + 2)
What is r in -34/13*r - 8/13 - 8/13*r**2 = 0?
-4, -1/4
Let k(z) be the third derivative of 9*z**6/40 + 7*z**5/10 - 7*z**4/6 - 4*z**3/3 + 15*z**2. Determine v so that k(v) = 0.
-2, -2/9, 2/3
Suppose 18 = 52*w - 46*w. Let j(v) be the first derivative of -1/10*v**4 + 1/5*v**2 - 2/15*v**w + 2/5*v - 1. Factor j(o).
-2*(o - 1)*(o + 1)**2/5
Suppose -s + 6*s - 2*i = 25, 0 = 3*i + 15. Let c(n) be the second derivative of 0*n**5 + 0*n**s - n - 1/60*n**6 + 0 + 1/12*n**4 - 1/4*n**2. Factor c(y).
-(y - 1)**2*(y + 1)**2/2
Let l be (-5)/63*(4 + -1)*-4. Let h(g) be the first derivative of -5/7*g**4 + 2/7*g**5 - 3 - 5/7*g**2 + l*g**3 + 2/7*g - 1/21*g**6. Let h(k) = 0. What is k?
1
Let u = 21 + -3. Let p be 9 + 0 - u/(-6). Let -p*o**2 - 2*o - 3 + 8*o**3 + 3 + 6*o**2 = 0. What is o?
-1/4, 0, 1
Let p(c) = -5*c - 5. Let n(g) = 2*g + 2. Let z(f) = 7*n(f) + 3*p(f). Let o be z(-1). Factor o + 0*j**4 + 1/2*j**3 - 1/4*j**5 + 0*j**2 - 1/4*j.
-j*(j - 1)**2*(j + 1)**2/4
Determine j, given that 23*j**3 - 6*j**4 - 44*j**3 + 3*j**5 + 24*j**3 = 0.
0, 1
Factor -2/9*b**2 - 32/9 + 16/9*b.
-2*(b - 4)**2/9
Let 3*k**2 - 341*k**5 - 4*k - 12*k**4 + 345*k**5 + 5*k**2 + 4*k**4 = 0. Calculate k.
-1, 0, 1
Factor -2/5*f - 6/5*f**2 + 0 - 2/5*f**4 - 6/5*f**3.
-2*f*(f + 1)**3/5
Let o(y) be the third derivative of y**5/150 + y**4/60 + 4*y**2. Factor o(z).
2*z*(z + 1)/5
Let q(t) be the third derivative of 0 + 1/240*t**5 + 0*t**4 + 0*t + 0*t**3 + 4*t**2. Factor q(v).
v**2/4
Let x = 442/5 + -88. Suppose -4/5*q**2 - 4/5*q**3 + 2/5 + 2/5*q + 2/5*q**4 + x*q**5 = 0. What is q?
-1, 1
Let d(x) = 0*x**2 + 3*x**4 + 3*x**2 - 7*x**3 - x + 12*x**3. Let u(z) = z**4 + z**3 + z**2 - z. Let g(b) = -d(b) + u(b). Find i such that g(i) = 0.
-1, 0
Let l(k) = k**3 + 9*k**2 - 12*k + 5. Let h be l(-10). Suppose d = 6*d - h. Let -4*w**4 + 3*w**3 - d*w**3 + 2*w**4 = 0. What is w?
-1, 0
Let d(h) be the first derivative of 1/6*h**2 + 3 + 0*h + 1/9*h**3. Factor d(f).
f*(f + 1)/3
Let b(z) be the second derivative of -z**8/5880 - z**7/2940 + z**6/1260 + z**5/420 + z**3/2 + 4*z. Let t(g) be the second derivative of b(g). Factor t(s).
-2*s*(s - 1)*(s + 1)**2/7
Suppose -2*i = -0*i. Let c(z) be the first derivative of -1/4*z**5 + 1/6*z**3 + 0*z**2 - 3/16*z**4 + 1 + i*z. Factor c(t).
-t**2*(t + 1)*(5*t - 2)/4
Suppose 0 = 5*u - 2*u - 54. Let o = u - 15. What is i in -5/2*i**4 - 7/2*i**2 + 1/2*i**5 + i + 0 + 9/2*i**o = 0?
0, 1, 2
Let m(g) be the third derivative of g**7/210 - g**6/30 + g**5/20 + g**4/6 - 2*g**3/3 + 8*g**2. Solve m(n) = 0 for n.
-1, 1, 2
Suppose -2 = r - 4. Let j(p) be the first derivative of 2 - 1/6*p**3 + 1/4*p**4 + 0*p + 0*p**r. Factor j(i).
i**2*(2*i - 1)/2
Suppose 0 + 2/5*m**3 + 7/5*m**4 - 2/5*m - 7/5*m**2 = 0. Calculate m.
-1, -2/7, 0, 1
Let f be ((-864)/(-192))/((-6)/(-4)). Find d, given that 0*d - 2/3*d**f - 8/3 + 2*d**2 = 0.
-1, 2
Suppose 0*c + c - 22 = 0. Let o(y) = y**3 + y**2 + 2*y - 2. Let f(q) = -6*q**3 - 5*q**2 - 11*q + 11. Let z(x) = c*o(x) + 4*f(x). Solve z(r) = 0.
0, 1
Let u be (-8 + (-50)/(-6))*2/2. Factor 0 - 2/3*i + u*i**3 - 1/3*i**2.
i*(i - 2)*(i + 1)/3
Let g be 4 + -7 - 3*1. Let z = 8 + g. Suppose -1/2*o + 0 - 1/4*o**z + 5/4*o**5 + 13/4*o**4 + 9/4*o**3 = 0. Calculate o.
-1, 0, 2/5
Let 1/2*t**2 + 0*t**3 + 1/4*t + 0 - 1/2*t**4 - 1/4*t**5 = 0. Calculate t.
-1, 0, 1
Let v = 122/21 - 40/7. Let r(l) be the second derivative of -1/7*l**2 - 1/42*l**4 + v*l**3 + 0 - 2*l. Let r(h) = 0. What is h?
1
Factor -116*j**4 + 8*j**5 + 1081/2*j**3 - 1415/2*j**2 - 125/2 - 925/2*j.
(j - 5)**3*(4*j + 1)**2/2
Let s = -24 - -28. Let d(k) be the third derivative of 0*k**s + 1/30*k**5 + k**2 + 0*k**3 + 0 + 0*k - 1/60*k**6. Factor d(h).
-2*h**2*(h - 1)
Suppose 4*f = -3*o + 6, f - 5 + 6 = -2*o. What is h in 0*h + 0*h**f - 1/4*h**4 + 1/2*h**2 - 1/4 = 0?
-1, 1
Suppose w + 2*r - 5 = 0, -4*r + 16 = 2*w + 2*w. Let f = 11/6 - 5/3. Factor -2*z**2 + 0 + z**w - f*z**4 + 4/3*z.
-z*(z - 2)**3/6
Factor -2/13*v**3 - 12/13*v + 10/13*v**2 + 0.
-2*v*(v - 3)*(v - 2)/13
Let x(s) = s**2 + 5*s - 4. Let c be x(-6). Let g(t) be the second derivative of 1/15*t**3 - 1/50*t**5 + 0*t**c + 0*t**4 + 2*t + 0. Factor g(h).
-2*h*(h - 1)*(h + 1)/5
Let i = -10 - -12. Factor 4*h**3 - 10*h - 6*h**2 + 0*h - 4 + i*h**4 - 2*h**3.
2*(h - 2)*(h + 1)**3
Factor 0*v**2 + 2/5*v**3 + 4/5 - 6/5*v.
2*(v - 1)**2*(v + 2)/5
Let g(l) be the second derivative of l**3/2 + l. Let x be g(4). Factor -10*p**5 + 18*p**4 + 2*p**5 - x*p**3 - 3*p**2 + 5*p**2.
-2*p**2*(p - 1)**2*(4*p - 1)
Suppose -w = 4*w - 10. Suppose 2*c**2 + 2*c - c**2 + c**w = 0. What is c?
-1, 0
Let p = -35/2 + 739/42. Let t(h) 