 0. What is i?
-1, 0, 1
Let u(x) = 4*x**2 + 21*x + 21. Let o(c) = -4*c + 2*c**2 + 4*c + 11 + 11*c + 0*c**2. Let w(h) = -5*o(h) + 3*u(h). Find j, given that w(j) = 0.
-2
Factor 0*i**2 - 17 + 1 + 4*i**2.
4*(i - 2)*(i + 2)
Let w(p) be the third derivative of 2/9*p**3 - 1/12*p**4 + 3*p**2 + 0*p + 1/180*p**6 + 0 + 0*p**5. Factor w(l).
2*(l - 1)**2*(l + 2)/3
Let w be ((1 + -2)*-1)/1. Let x be (-4 + 1)*(-1)/w. Factor -k + 1 - 6*k**2 + 3*k**5 + 5*k**4 + 0 - 4*k**x + 2*k**3.
(k - 1)*(k + 1)**3*(3*k - 1)
Suppose 0 = -2*n + 6, -5*w + 2 = -2*n - 2. Determine v so that -2/9*v - 2/9 + 2/9*v**w + 2/9*v**3 = 0.
-1, 1
Find f such that -23 - 3*f**2 + 24*f + 6 - 31 = 0.
4
Factor -131 + 16*w**5 + 131 - 22*w**2 + 40*w**4 - 31*w**3 - 3*w.
w*(w - 1)*(w + 3)*(4*w + 1)**2
Let q = 1125/658 + 3/658. Solve -1/7*k**5 - 6/7*k**4 - 13/7*k**3 + 0 - 4/7*k - q*k**2 = 0.
-2, -1, 0
Factor 1/2*q - 1/3*q**2 - 1/6*q**3 + 0.
-q*(q - 1)*(q + 3)/6
Let h(p) be the third derivative of -p**5/120 - p**4/24 - p**3/12 + p**2. Suppose h(j) = 0. What is j?
-1
Factor -4/5*v - 4/5*v**2 + 1/5*v**5 + 4/5*v**4 + 3/5*v**3 + 0.
v*(v - 1)*(v + 1)*(v + 2)**2/5
Suppose -4*o - 16 = -5*d, 0 = 3*d - 4*o + 5*o - 13. Let t be (-1)/(1/d*-14). Solve 20/7*k**2 + 10/7*k**4 - 20/7*k**3 - t*k**5 - 10/7*k + 2/7 = 0.
1
Let b = -2/171 + 1207/855. Solve 0 - p**5 - 3/5*p**2 + b*p**3 + 3/5*p**4 - 2/5*p = 0 for p.
-1, -2/5, 0, 1
Let f = 320/21 - 7999/525. Let q(v) be the third derivative of 0*v**4 + 0 - 1/100*v**6 - 1/75*v**5 - 3*v**2 + 0*v + 0*v**3 - f*v**7. Factor q(d).
-2*d**2*(d + 1)*(d + 2)/5
Let h be ((-1)/3)/((-2)/(-6)). Let l = 1 - h. Determine v, given that 2/3*v + 1/3 + 1/3*v**l = 0.
-1
Let c(g) be the third derivative of 10*g**5/3 + 35*g**4/6 + 4*g**3 + 21*g**2. Determine l, given that c(l) = 0.
-2/5, -3/10
Suppose -2*c + 6 = 2*l, 0 = c + 2*c - 4*l - 2. Let g(h) be the second derivative of -1/30*h**3 + 1/60*h**4 + 0 - c*h + 0*h**2. Let g(v) = 0. What is v?
0, 1
Let a(l) = 3*l**2 + 2*l + 1. Let t(b) = -16*b**2 - 11*b - 6. Let o(y) = 33*a(y) + 6*t(y). Find z such that o(z) = 0.
-1, 1
Let z = -5 + 7. Determine l, given that 7*l**z + 7*l**2 + 4*l + 12 + 42*l = 0.
-3, -2/7
Let g be (-2)/4 - (-105)/6. Suppose -2*w = -w - 4*m, 0 = 4*w + m - g. Suppose 0*s - 1/3*s**w - 1/3*s**2 + 0 + 2/3*s**3 = 0. Calculate s.
0, 1
Let p(g) be the first derivative of -3*g**7/28 - g**6/20 + g**5/5 + g**4/6 + 6*g - 3. Let l(s) be the first derivative of p(s). Factor l(u).
-u**2*(u - 1)*(3*u + 2)**2/2
Let i be (-16)/4*(-1)/5. Let h = 657/5 - 131. Factor -h*j**2 - i*j - 2/5.
-2*(j + 1)**2/5
Determine t so that 0 - 11/5*t**2 + 11/5*t**3 + 3*t**4 + 2/5*t - 9/5*t**5 = 0.
-1, 0, 1/3, 2
Factor -2/3 + 3*q + 5/3*q**2.
(q + 2)*(5*q - 1)/3
Let p(k) be the first derivative of 2*k**6/5 + 39*k**5/25 + 21*k**4/20 - 11*k**3/5 - 33*k**2/10 - 6*k/5 + 2. Suppose p(u) = 0. What is u?
-2, -1, -1/4, 1
Let h = 14 + -55/4. Factor -h*j**2 + 1/4 + 0*j.
-(j - 1)*(j + 1)/4
Let v(w) be the first derivative of 2*w**3/3 + w**2 + 11. Determine q, given that v(q) = 0.
-1, 0
Let s(a) = 8*a**3 - 8*a**2 - 5. Let y(i) be the second derivative of 39*i**5/20 - 13*i**4/4 - 12*i**2 + 9*i. Let f(v) = -24*s(v) + 5*y(v). Factor f(w).
3*w**2*(w - 1)
Let f be 7/231*(0 - 1). Let j = 4/11 + f. Factor 2/3 - 2/3*q**2 - j*q + 1/3*q**3.
(q - 2)*(q - 1)*(q + 1)/3
Suppose 0 = -2*y + 1 + 9. Let -3*a**3 + a**2 - a**5 - 4*a**y + 2*a**4 - 8*a**4 - 3*a**4 = 0. What is a?
-1, 0, 1/5
Factor -3*x**2 + 7*x**3 + 10*x**4 - 4*x**3 - 7*x**4 - 3*x.
3*x*(x - 1)*(x + 1)**2
Let w(m) = -m**3 + 4*m**2 + 5*m + 2. Let o be w(5). Suppose -4*z**2 - 5*z**2 - 3*z**3 - 1 + 3*z**o + 7 + 3*z = 0. What is z?
-2, -1, 1
Determine v, given that 16 + 28*v**2 - 10*v**2 - 30*v**2 - 4*v**3 = 0.
-2, 1
Let w(d) be the second derivative of -d**6/6 - 7*d**5/4 - 85*d**4/12 - 85*d**3/6 - 15*d**2 - 22*d. Find x such that w(x) = 0.
-3, -2, -1
Let p(y) be the second derivative of -3*y**5/140 + y**4/7 - 2*y**3/7 - 44*y. Solve p(t) = 0.
0, 2
Let s(w) be the second derivative of 5*w**4/12 + 20*w**3 + 360*w**2 + 34*w. Factor s(j).
5*(j + 12)**2
Suppose -x + 3*d + 21 = 0, -3*x + 50 = -5*d - 1. Suppose 4*j - 3*p + 6*p = 16, -5*p - x = -3*j. Suppose 1/2 + 1/2*z**2 - z**j + 3/2*z**3 - 3/2*z = 0. What is z?
-1, 1/2, 1
Suppose 0 = 3*y - 0*y. Suppose y*u - 16 = -u - 3*g, -3*u = g - 16. Find f, given that -2 - f**2 - 3 + u - 2*f = 0.
-1
Let a(p) be the first derivative of p**3/3 + 3*p**2/2 + 2*p + 7. Factor a(x).
(x + 1)*(x + 2)
Suppose -4*i = -9*i. Factor i*h**2 + 0*h**2 - 106*h**3 + 104*h**3.
-2*h**3
Let k(f) be the first derivative of -4*f**4 + 4*f**3 - 3*f**2/2 - 4*f - 5. Let j(d) be the first derivative of k(d). Factor j(o).
-3*(4*o - 1)**2
Factor 1/4*b**3 + b + 0 - b**2.
b*(b - 2)**2/4
Let m(u) be the first derivative of 0*u**2 + u**3 - 3/4*u**4 + 4 + 0*u - 6/5*u**5. Factor m(i).
-3*i**2*(i + 1)*(2*i - 1)
Let a be (-220)/(-40)*3/33. Factor 0*o + a*o**2 - 2.
(o - 2)*(o + 2)/2
Let o(t) be the third derivative of 0 - 1/4*t**3 + 1/80*t**5 + 1/32*t**4 + 4*t**2 + 0*t. Factor o(x).
3*(x - 1)*(x + 2)/4
Let h be (-5 - 145/(-25))*5. Let r(d) be the second derivative of 2/11*d**2 - 1/66*d**4 - h*d + 1/33*d**3 + 0. Suppose r(g) = 0. Calculate g.
-1, 2
Let a(d) = d**3 - 4*d**2 - 3*d - 6. Let u be a(5). Factor -7*m**3 - 5*m**4 + 32*m**2 - 4*m + 54*m**u - 70*m**3 + 0*m.
m*(m - 1)*(7*m - 2)**2
Let f be (-2)/(-8) + (-33)/(-12). Suppose 0 = 3*j + f, -j - 4*j = 2*x + 5. Factor 0*p + x - 1/4*p**3 + 0*p**2 + 1/4*p**4.
p**3*(p - 1)/4
Factor -150*m + m**3 + 23 + 227 - 3*m**3 + 30*m**2.
-2*(m - 5)**3
Suppose 0 = -3*f + 4*s - 18, 5*s = -f - 4*f - 65. Let u be ((-7)/f)/((-6)/(-72)). Determine i so that u*i**5 - 2/5*i**4 + 0 + 2/5*i**2 + 4/5*i - 46/5*i**3 = 0.
-1, -2/7, 0, 1/3, 1
Let l(y) be the third derivative of -y**5/15 + y**4/3 + 2*y**3 + 18*y**2. Factor l(d).
-4*(d - 3)*(d + 1)
Let q(a) = a**2 - 9*a - 22. Let k be q(11). What is d in k - 1/6*d**3 + 1/6*d**2 + 0*d = 0?
0, 1
Let v = -11/14332 + 1951495/3052716. Let b = 2/71 + v. Factor b*r**2 - 2/3 + 0*r.
2*(r - 1)*(r + 1)/3
Let s be (7 - 1)*(-1)/(-2). Suppose -2*y**2 + 12*y**3 + 3*y**2 - 14*y**s + y**2 = 0. Calculate y.
0, 1
Let y(h) be the third derivative of -1/945*h**7 + 0 + 1/27*h**3 + 1/270*h**6 - 1/54*h**4 + 5*h**2 + 0*h**5 + 0*h. Solve y(o) = 0 for o.
-1, 1
Let z be (-4)/(-3)*9/3. Let p be (z/(-10))/(7/(-10)). Solve -p - 10/7*f**2 + 2*f = 0 for f.
2/5, 1
Let w(z) be the third derivative of z**5/40 + 7*z**4/16 + 5*z**3/2 - 22*z**2 + 2*z. Suppose w(a) = 0. Calculate a.
-5, -2
Let u be -2*(-3 - (-84)/32). Suppose -33*k + 35*k - 6 = 0. What is s in 0 - u*s**k + 3/4*s**4 + 0*s**2 + 0*s = 0?
0, 1
Suppose 0 = -4*n - 12, -3*n - 63 = 2*w + 2*n. Let h be w/(-10) - 6/15. What is d in 2*d**3 + 5 - d + 1 - 2*d**2 + d**4 - h - 3 - d**5 = 0?
-1, 1
Suppose 0*j = 5*u - 4*j - 135, 5*u = 5*j + 130. Let i = -26 + u. What is t in 0*t**3 - 1/2*t**4 + 1/2*t**i + 0 + 0*t**2 + 0*t = 0?
0, 1
Let z(s) be the first derivative of s**6/12 + 3*s**5/10 + s**4/8 - s**3/2 - s**2/2 - 6. Factor z(b).
b*(b - 1)*(b + 1)**2*(b + 2)/2
Let b(q) be the first derivative of -q**5/5 + q**4/2 - q**2 + q - 63. Solve b(t) = 0 for t.
-1, 1
Let v(a) = 4*a**3 + 2*a**2 - 2*a - 2. Let r(l) = 17*l**3 + 9*l**2 - 8*l - 9. Let g(u) = 2*r(u) - 9*v(u). What is c in g(c) = 0?
-1, 0, 1
Let w(l) be the first derivative of -l**4 + 4*l**3/3 + 2*l**2 - 4*l + 13. Suppose w(t) = 0. What is t?
-1, 1
Let u(c) be the third derivative of 0 - 1/204*c**6 + 3/170*c**5 - 1/255*c**7 - 4*c**2 + 5/204*c**4 + 0*c - 2/51*c**3. Suppose u(s) = 0. Calculate s.
-1, 2/7, 1
Let v(a) be the second derivative of -a**8/960 + 2*a**7/315 - 11*a**6/720 + a**5/60 + a**4/6 + a. Let b(i) be the third derivative of v(i). Factor b(x).
-(x - 1)**2*(7*x - 2)
Find y, given that -5*y**2 + 13*y**2 + 4*y**3 - 4*y - 8*y = 0.
-3, 0, 1
Let p be (-3)/(1 - -2) - -9. Let 6*y - 9*y**2 - p*y**3 + 8*y**3 + 3*y**4 = 0. Calculate y.
-2, 0, 1
Let w(z) = -z**3 + z**2 + 2. Let b be w(0). Let u be 1/b - (-36)/8. Factor -2*m**5 + 2*m**2 - m**3 - u*m**4 + 0*m**2 + 3*m**3 + 3*m**4.
-2*m**2*(m - 1)*(m + 1)**2
Let p(w) be the second derivative of w**5/30 - w**3/9 + 4*w. Factor p(j).
2*j*(j - 1)*(j + 1)/3
Find a, given that 223 + 5*a**4 - 15*a - 2*a**4 + 15*a**3 - 233 + 5*a**2 + 2*a**4 = 0.
-2, -1, 1
Let z(m) be the thi