 0 = 2*v + 3*v + 5. Factor 0*z**4 + 0*z + 0*z**2 + 2/11*z**3 - 2/11*z**5 + x.
-2*z**3*(z - 1)*(z + 1)/11
Let l = -453 + 455. Determine o so that 1/4*o**l + 0*o + 0 + 1/4*o**5 - 1/4*o**3 - 1/4*o**4 = 0.
-1, 0, 1
Let u(h) be the third derivative of 1/40*h**6 + 1/8*h**4 + 0*h**3 + 0 - h**2 + 0*h - 1/10*h**5. Let u(r) = 0. Calculate r.
0, 1
Suppose -5*k = 4*d + 14, k + 4*k + 13 = -3*d. Let m = 1 - d. Factor 7/5*a**m - 2/5 + a.
(a + 1)*(7*a - 2)/5
Factor 2*o**2 + 4 + 2 - 6.
2*o**2
Let x(c) be the third derivative of -c**5/210 - 5*c**4/84 - 4*c**3/21 + 8*c**2. What is s in x(s) = 0?
-4, -1
Let l be (6/4 - -2) + 2/4. Factor 3/2*q**3 - 3/2*q - 3/4 + 3/4*q**l + 0*q**2.
3*(q - 1)*(q + 1)**3/4
Let z(t) = t**2 - 2. Let j be z(2). Suppose 0 = 2*u + j*u - 20. Factor -2 + 2*x**5 + 20*x**3 - 10*x**4 - 3*x**u + 3*x**5 + 0*x**2 + 10*x - 20*x**2.
2*(x - 1)**5
Let i = -3 - -5. Suppose -3 + 6*f**2 - i*f**2 - 6 + 5 = 0. Calculate f.
-1, 1
Let k(b) be the second derivative of -3*b + 0*b**3 + 0 - 1/90*b**6 + 1/30*b**5 - 1/36*b**4 + 0*b**2. Factor k(n).
-n**2*(n - 1)**2/3
Let c = 118 - 115. Factor 2/5*y**c + 2/5*y**4 + 0 - 2/5*y - 2/5*y**2.
2*y*(y - 1)*(y + 1)**2/5
Let z be -6*(-4 - (-295)/75). Let -z*m**4 - 32/5 + 64/5*m + 16/5*m**3 - 48/5*m**2 = 0. What is m?
2
Find h, given that 0*h**3 + 4/3*h**2 - 2/3*h**5 + 2/3*h + 0 - 4/3*h**4 = 0.
-1, 0, 1
Suppose -9*o + 13*o - 40 = 0. Let c be 14/(-10)*o/(-35). Find t such that -c*t**2 + 2/5 + 0*t = 0.
-1, 1
Let o(z) be the first derivative of -z**6/2 + 9*z**5/5 + 21*z**4/4 - 15*z**3 - 27*z**2 - 10. Let o(g) = 0. Calculate g.
-2, -1, 0, 3
What is w in 3*w**2 + 3*w + w - 12*w + 5*w = 0?
0, 1
Let u be 11/5 - (48/(-40))/(-6). Let g(x) be the first derivative of -1/12*x**3 - u + 0*x - 1/8*x**2. Suppose g(r) = 0. Calculate r.
-1, 0
Solve p**3 - 4*p**4 + p**4 + 10*p + 3*p**2 - 22*p + p**5 + 10*p = 0.
-1, 0, 1, 2
Let c(v) be the third derivative of 0 + 1/840*v**8 + 0*v - 1/175*v**7 - v**2 + 0*v**3 + 1/100*v**6 - 1/150*v**5 + 0*v**4. Factor c(h).
2*h**2*(h - 1)**3/5
Let j(a) = -a**3 + 5*a**2 + 2*a - 6. Let k be j(5). Let p = 6 - k. Suppose -o + 1/2*o**p + 1/2 = 0. What is o?
1
Let y(j) = 3*j**3 - 7*j**2 - 4. Let k(p) = p**2 + 1. Let o(w) = 4*k(w) + y(w). Solve o(g) = 0 for g.
0, 1
Let x be 8/(-32)*(-8)/10*16. Factor -2/5 - x*b**3 + 12/5*b**2 + 0*b + 6/5*b**4.
2*(b - 1)**3*(3*b + 1)/5
Find y such that 2/3*y + 4/3*y**2 - 2/3*y**5 + 0*y**3 - 4/3*y**4 + 0 = 0.
-1, 0, 1
Factor 13/2*v**4 + 3/2*v**2 + 0 + 5/2*v**5 + 11/2*v**3 + 0*v.
v**2*(v + 1)**2*(5*v + 3)/2
Let h(y) be the third derivative of -y**7/1575 + y**6/180 - 4*y**5/225 + y**4/45 - 34*y**2. Factor h(t).
-2*t*(t - 2)**2*(t - 1)/15
Let o = 1/14 + 3/7. Let f = 51 + -49. Suppose -o + 1/4*k**3 + 1/2*k**f - 1/4*k = 0. What is k?
-2, -1, 1
Let k be (-2)/28*-4 + 4/(-14). Let v(l) be the first derivative of k*l + 2 - 1/3*l**2 + 2/15*l**5 - 2/9*l**3 + 1/6*l**4. What is n in v(n) = 0?
-1, 0, 1
Let b(k) be the first derivative of -5 + 0*k**2 + 0*k**3 + 1/35*k**5 + 0*k + 1/14*k**4. Factor b(l).
l**3*(l + 2)/7
Suppose -5*f = -25, -45 = -4*o + 2*f - 3*f. Suppose -2*m = -0 - o. Solve 8*x**4 - 38*x**3 - m*x**5 - 2*x**4 + 8*x**5 + 41*x**3 = 0.
-1, 0
Let v be (4/(-5))/((-12)/30). Factor 0*t**2 + 3*t**4 + 6*t**3 - 3*t**v - 4*t**5 - 3*t**3 + t**5.
-3*t**2*(t - 1)**2*(t + 1)
Let g(c) be the third derivative of -c**9/60480 + c**7/10080 - c**4/12 - c**2. Let s(t) be the second derivative of g(t). Solve s(f) = 0.
-1, 0, 1
Let r be -1 - -11*(2 - 1). Factor g + 6*g**2 + g - r*g**2.
-2*g*(2*g - 1)
Let k be -11 + (-378)/(-35) - 22/(-10). Factor -12/7*u**k - 9/7*u + 3/7.
-3*(u + 1)*(4*u - 1)/7
Let r be (2/(-4))/((-5)/240). Suppose 2 - 3*i**2 + 9*i**4 + 15 - 5 - r*i**2 + 6*i**3 = 0. Calculate i.
-2, -2/3, 1
Let q(k) = -k**3 - 10*k**2 + 6. Let l be q(-10). Let -v**2 - l*v**4 + v - 9*v**2 + v + 14*v**3 = 0. Calculate v.
0, 1/3, 1
Let s(n) = -n**3 - 5*n**2 + 3*n - 18. Let r be s(-6). Let o(d) be the second derivative of 1/20*d**5 + 0 + 0*d**3 - 3*d - 1/12*d**4 + r*d**2. Factor o(q).
q**2*(q - 1)
Solve 11*v - 4*v**5 + 18*v + 6*v**3 + 16 - 20*v**4 + 3*v + 4*v**2 - 34*v**3 = 0 for v.
-2, -1, 1
Let n(j) be the second derivative of 1/8*j**2 + 4*j + 1/120*j**6 - 1/24*j**3 - 1/168*j**7 + 1/40*j**5 - 1/24*j**4 + 0. Find o such that n(o) = 0.
-1, 1
Let j(k) = -6*k**3 - 2*k**2 - 5. Let n be j(4). Let f = -2939/7 - n. What is v in 12/7*v**2 + 2/7 - f*v**3 - 8/7*v + 2/7*v**4 = 0?
1
Determine n so that 4*n**3 + 16 + 12*n**2 - 2*n**3 - 45*n + 69*n = 0.
-2
Let t(o) = o**3 - o**2 - 1. Let n(v) = 7*v**3 + 5*v**2 + 9*v - 1. Let h = 11 - 10. Let i(c) = h*n(c) - 4*t(c). Factor i(b).
3*(b + 1)**3
Let 15*q**4 + 45*q - 1 - 15*q**2 - 4 - 25*q**3 - 15 + 0 = 0. Calculate q.
-4/3, 1
Let u(y) = y - 12. Let x be u(12). Suppose x = 2*j + 3*j - 15. Solve 0*i + 8/5*i**4 - 4/5*i**2 - 14/5*i**j + 0 = 0.
-1/4, 0, 2
Determine t, given that 196*t**2 - 400*t**5 + 208*t**2 + 144*t + 74*t**3 + 6 + 182*t**3 + 10 - 420*t**4 = 0.
-1, -2/5, -1/4, 1
Suppose 16 = 3*d - 0*w + w, -5*w = 2*d - 28. Suppose 0*i - d*i + 14 = 2*t, -4*t = -3*i - 6. Find r, given that 3*r**2 - 3*r**2 - i*r + 2*r**3 = 0.
-1, 0, 1
Suppose 0 = -4*d - 6*h + 2*h - 12, d - 12 = 2*h. Let s be 1 + 1 - (-1 - 0). Solve 3*n**3 - 4*n**s + 3*n**3 - d*n**2 = 0 for n.
0, 1
Let d be 4/2 - (-48)/(-30). Find s, given that -2/5*s**2 + 0 - 2/5*s**3 + 2/5*s**4 + d*s = 0.
-1, 0, 1
Let n = 6 + -4. Let j(x) = x**2 + 6*x + 7. Let f be j(-5). Factor -h**3 + h - n - f + 3 + h**2.
-(h - 1)**2*(h + 1)
Let i(k) be the first derivative of -k**4/6 + 8*k**3/9 + 7. Find d such that i(d) = 0.
0, 4
Let s = -21 - -23. Factor -y**3 - y**2 + 0*y**s + 5*y + y + 1 - 5*y.
-(y - 1)*(y + 1)**2
Let a(r) be the first derivative of -r**3 - 9*r**2/2 + 12*r - 5. Suppose a(j) = 0. What is j?
-4, 1
Let x(a) = -2*a**5 + 16*a**4 - 14*a**3 + 4*a**2 - 20*a - 20. Let i(p) = p**4 - p**3 - p - 1. Let g(r) = 36*i(r) - 2*x(r). Suppose g(y) = 0. Calculate y.
-1, 1
Suppose -2*q - 4 - 8 = 4*x, 5*x + q + 9 = 0. Let z = x + 3. Factor 3*b**2 + 6 - b**z + 6*b + 0*b**2 - 2.
2*(b + 1)*(b + 2)
Let b be (-4)/(-14) + 2/5. Let c = -2/7 + b. Factor 4/5*t - 2/5 - c*t**2.
-2*(t - 1)**2/5
Let u(p) be the first derivative of 1/9*p**3 + 3*p + 2 + p**2. Suppose u(d) = 0. Calculate d.
-3
Let j(u) be the third derivative of u**5/90 - 5*u**4/108 - 2*u**3/27 + 23*u**2. Factor j(n).
2*(n - 2)*(3*n + 1)/9
Let f(p) = -9*p**4 + p**3 - 2*p**2 + 4*p. Let h(z) = -8*z**4 - z**2 + 3*z. Let i(v) = 3*f(v) - 4*h(v). Let i(g) = 0. Calculate g.
-1, 0, 2/5
Let t = -229 + 232. Determine b, given that -4/5 + 6/5*b - 6/5*b**t + 4/5*b**2 = 0.
-1, 2/3, 1
Let i = -208/3 + 1049/15. Let w = -1 - -1. Solve -6/5*k**3 + i*k**5 + w*k**4 + 0*k**2 + 3/5*k + 0 = 0 for k.
-1, 0, 1
Let t(h) be the first derivative of -2*h**6/3 - 24*h**5/5 - 12*h**4 - 40*h**3/3 - 6*h**2 + 41. Factor t(w).
-4*w*(w + 1)**3*(w + 3)
Suppose 22 = 5*j + 7. Solve 4/3*y**2 + 0 + 2/3*y + 2/3*y**j = 0 for y.
-1, 0
Let a(x) be the third derivative of 2/15*x**3 + 0 + x**2 + 1/300*x**5 + 1/30*x**4 + 0*x. Factor a(r).
(r + 2)**2/5
Determine b, given that -4*b**2 + 0*b**4 - 14*b**5 - 4*b + 10*b**5 - 4*b**4 + 12*b**2 - 4 + 8*b**3 = 0.
-1, 1
Let r(o) be the second derivative of -1/4*o**4 + 0 - 3/2*o**2 + o - o**3. Factor r(l).
-3*(l + 1)**2
Let s be 2 - ((-22)/(-77) + (-34)/(-28)). Let l(u) = -u**3 + 7*u**2 - 5*u - 6. Let x be l(6). Solve -s*r**4 + 0*r + x + 0*r**2 - 1/2*r**3 = 0.
-1, 0
Let r(z) be the second derivative of z**4/24 + 5*z**3/12 + 3*z**2/2 - 32*z. Suppose r(s) = 0. Calculate s.
-3, -2
Let t be (1 - 0)*-1*-3. Let f(d) = d + 1. Let k be f(t). Find z, given that -2*z + 2*z + k + 2*z**2 - 6 = 0.
-1, 1
Let p(t) be the second derivative of -2*t**4/3 - 7*t**3/3 + 11*t**2 + 35*t. Find x such that p(x) = 0.
-11/4, 1
Let o(i) be the third derivative of -i**5/30 - i**4/12 + 2*i**3 + 25*i**2. Factor o(w).
-2*(w - 2)*(w + 3)
Factor 15*j**4 - 11*j**3 + j**4 - j**3 - 4*j**2.
4*j**2*(j - 1)*(4*j + 1)
Factor -6*m**2 + 2*m**2 + 6*m**2 + 2*m + 0*m.
2*m*(m + 1)
Let q = 227/5 - 45. Suppose 0 = -6*t + 3*t + 6. Factor 0 - q*g + 2/5*g**t.
2*g*(g - 1)/5
Factor -2 + 1/2*c**2 - 3/2*c.
(c - 4)*(c + 1)/2
Let w = 47507/5 + -9559. Let q = -57 - w. Factor 0*a + 0 - 3/5*a**5 + 3/5*a**2 + 3/5*a**3 - q*a**4.
-3*a**2*(a - 1)*(a + 1)**2/5
Let s be (9 