*2. Suppose o(k) = 0. What is k?
-1, 0, 1, 3
Suppose -3 - 12 = 3*s. Let b = -3 - s. Factor -b*a + a**2 + 5 - 3 - 1 + 0*a**2.
(a - 1)**2
Let j(k) = 6*k**2 + 45*k + 45. Let p(i) = 3*i**2 + 23*i + 22. Let m(g) = 5*g - 1. Let d be m(2). Let s(r) = d*p(r) - 5*j(r). Suppose s(y) = 0. What is y?
-3
Let j be 3/(-5 + 2)*0/1. Factor 1/2*o + j - 1/4*o**2.
-o*(o - 2)/4
Determine z so that 0 - 2/5*z**3 + 0*z + 2/5*z**2 = 0.
0, 1
Let d = 7 - 5. Let z(n) = -n. Let v be z(-1). Factor 2*w - 2*w + w**d - v.
(w - 1)*(w + 1)
Let n = -42 + 46. Let c(a) be the first derivative of -2 - 1/7*a**2 + 1/14*a**n + 2/21*a**3 + 0*a - 2/35*a**5. Factor c(z).
-2*z*(z - 1)**2*(z + 1)/7
Let u(v) be the third derivative of v**8/6720 + v**7/840 + v**6/240 + v**5/120 - v**4/8 + v**2. Let k(l) be the second derivative of u(l). Factor k(f).
(f + 1)**3
Let q(v) be the second derivative of 2*v**6/5 - 3*v**5/4 + v**4/4 + 3*v. Let q(a) = 0. Calculate a.
0, 1/4, 1
Let g = -14 - -20. Let 57*p**4 - 9*p**4 + 2*p**2 + 24*p**3 + 32*p**5 - g*p**3 = 0. Calculate p.
-1, -1/4, 0
Let i(j) = -j**4 + 5*j - 1 + 1 + 5 + 4*j**3 + 5*j**4. Let f(n) = -3*n**4 - 3*n**3 - 4*n - 4. Let s(o) = -5*f(o) - 4*i(o). Determine r so that s(r) = 0.
-1, 0
Let f(k) be the second derivative of -8*k**6/5 - 18*k**5 - 193*k**4/4 + 60*k**3 - 24*k**2 - 4*k. Suppose f(y) = 0. What is y?
-4, 1/4
Let h(p) be the second derivative of -p**10/6480 - p**9/4536 + p**8/5040 - p**4/6 + 4*p. Let q(o) be the third derivative of h(o). Factor q(l).
-2*l**3*(l + 1)*(7*l - 2)/3
Factor 3/5*u**2 + 9/5 - 12/5*u.
3*(u - 3)*(u - 1)/5
Suppose 0 = 2*o + 3*g, -3*o - 2*g + 16 = o. Factor -2*b**3 + 5*b + 10*b**2 - o*b**3 - 7*b.
-2*b*(b - 1)*(4*b - 1)
Let y(n) be the second derivative of -1/20*n**5 + 0 + 3*n - 2/9*n**4 - 1/3*n**2 - 7/18*n**3. Factor y(r).
-(r + 1)**2*(3*r + 2)/3
Let r(z) = -z. Let l(i) = -3*i**2 + 9*i + 15. Let x(f) = l(f) - 3*r(f). Factor x(d).
-3*(d - 5)*(d + 1)
Let q(h) be the first derivative of h**6/18 - h**5/5 + h**4/6 + 2*h**3/9 - h**2/2 + h/3 + 3. Solve q(r) = 0.
-1, 1
Let t(n) = -n**3 - 2*n**2 + 3*n. Let z be t(-3). Suppose z*a = 3*a. Find q, given that -1/3*q**3 - 1/3*q**4 + a + 1/3*q**2 + 1/3*q = 0.
-1, 0, 1
What is v in 5*v**2 + 3*v**3 - 15*v**3 - 3*v**2 + 2*v**2 = 0?
0, 1/3
Suppose -3*w = -0*w. Suppose w = 2*k + 2*k - 8. What is f in 2*f**5 - 4*f**5 - 7*f**2 + 9*f**k + 2*f**3 - 2*f**4 = 0?
-1, 0, 1
Let x be ((-5)/25)/(16/(-5)). Let i(a) be the first derivative of -2 + 3/20*a**5 + x*a**4 + 0*a - 1/8*a**2 - 1/4*a**3. Factor i(g).
g*(g - 1)*(g + 1)*(3*g + 1)/4
Let m(c) be the third derivative of -c**8/6720 - c**5/20 + c**2. Let v(t) be the third derivative of m(t). Factor v(y).
-3*y**2
Let o(c) be the second derivative of -c**10/30240 - c**9/7560 + c**7/1260 + c**6/720 - c**4/4 + 2*c. Let t(x) be the third derivative of o(x). Factor t(d).
-d*(d - 1)*(d + 1)**3
Let b(l) be the third derivative of -l**8/1680 - l**7/840 + l**6/360 + l**5/120 + 2*l**3/3 + 3*l**2. Let f(k) be the first derivative of b(k). Factor f(r).
-r*(r - 1)*(r + 1)**2
Suppose 5*i = j - 12, -2 = -j - 5*i - 10. Factor -4*o + 5*o + o**3 + 0*o**3 + 2*o**j.
o*(o + 1)**2
Suppose 0 = s - 3*s - k - 61, 5*s + 2*k + 152 = 0. Let z = s - -30. Factor 2/3*a**2 - 2/3 + z*a.
2*(a - 1)*(a + 1)/3
Let b(c) be the second derivative of 1/24*c**4 + 4*c + 1/12*c**3 + 0*c**2 + 0. Let b(d) = 0. Calculate d.
-1, 0
Let l be 1/(-2)*32/(-10). Let s be 2 + 2 + 12/(-5). Solve s*f**4 + 0 - 12/5*f**3 - 2/5*f**5 - 2/5*f + l*f**2 = 0.
0, 1
Factor 28/3 + 6*n + 2/3*n**2.
2*(n + 2)*(n + 7)/3
Let c(v) be the third derivative of v**6/60 + 7*v**5/270 - v**4/54 - 3*v**2. Factor c(b).
2*b*(b + 1)*(9*b - 2)/9
Let x = 8 - 5. Let c(h) = -3*h + 7. Let k be c(1). Factor -2/9*j**k - 8/9*j**2 - 8/9*j**x + 0 + 0*j.
-2*j**2*(j + 2)**2/9
Suppose 0 = 2*j - 5*f + 28, 2*f - 3 - 9 = j. Let q = 0 - j. Suppose 3*s**4 + 2*s**4 - 3*s**q = 0. What is s?
0
Let u be (-9)/(-3) + (-2)/1. Let a be -5 + 8 + (3 - u). What is p in 0 - 2/9*p**2 - 2/9*p**a - 2/3*p**3 - 2/3*p**4 + 0*p = 0?
-1, 0
Determine g, given that -47 - 3*g**3 + 47 + 3*g**2 = 0.
0, 1
Let l(g) = -3*g**3 - 19*g**2 + 6*g. Let c(n) = 7*n**3 + 38*n**2 - 12*n. Let p(d) = -4*c(d) - 7*l(d). Determine j, given that p(j) = 0.
-3, 0, 2/7
Suppose -3*c = -4*x - 4, c - 3*x - 3 = -0*c. Let z(p) be the second derivative of 0*p**3 - 1/20*p**5 + 0*p**2 + 2*p + c*p**4 + 0. Let z(o) = 0. Calculate o.
0
Let c(o) = -7*o**4 - 7*o**3 - o**2 - 9*o - 8. Suppose -3*s = 4 + 5. Let d(p) = p**4 + p**3 + p + 1. Let a(q) = s*c(q) - 24*d(q). Factor a(w).
-3*w*(w - 1)*(w + 1)**2
Let w be (-12)/(-16)*(-28)/(-21) - -1. Suppose -m**3 - 1/3*m**4 - 1/3*m - m**w + 0 = 0. Calculate m.
-1, 0
Let n be (-28)/(-16) - (-2)/8. Suppose 0 - 2/7*m**5 + 0*m + 0*m**n + 2/7*m**3 + 0*m**4 = 0. What is m?
-1, 0, 1
Let p = 0 - 2. Let y = p - -4. Factor -3*b**4 + b**3 + 6*b**y - 3*b**2 - 4*b**3 + 3*b.
-3*b*(b - 1)*(b + 1)**2
Let q be (-4)/3*6/(-4). Factor 0*c - 2/3*c**4 + 0 + 0*c**3 + 2/3*c**q.
-2*c**2*(c - 1)*(c + 1)/3
Let h(y) be the second derivative of 3*y**5/20 + y**4/4 - 2*y**3 - 6*y**2 + 26*y. Let h(z) = 0. What is z?
-2, -1, 2
Suppose 0*r**2 + 40/3*r**3 - 20/3*r + 4*r**5 - 40/3*r**4 + 8/3 = 0. What is r?
-2/3, 1
Let f(h) be the first derivative of -2 - 6/5*h**2 - 2/5*h - 6/5*h**3. Factor f(d).
-2*(3*d + 1)**2/5
Let x(n) be the first derivative of n**7/315 + 7*n**6/180 + n**5/5 + 5*n**4/9 + 8*n**3/9 - n**2/2 - 4. Let s(h) be the second derivative of x(h). Factor s(y).
2*(y + 1)*(y + 2)**3/3
Let y(c) = 4*c**3 - c**2 + 3*c - 1. Let i be y(1). Factor k**2 - i*k**2 - 3 + 3.
-4*k**2
Let o(g) be the second derivative of -g**5/360 - g**4/48 + g**3/9 + 4*g**2 - 7*g. Let v(c) be the first derivative of o(c). Factor v(m).
-(m - 1)*(m + 4)/6
Let s be 3 + 7/(315/(-134)). Let b(k) be the third derivative of 0*k - 1/36*k**6 + 0 + 1/45*k**5 + 0*k**3 - k**2 + 0*k**4 - s*k**7. Factor b(j).
-2*j**2*(j + 1)*(7*j - 2)/3
Let u(t) = -t + 2. Let m be u(0). Let d(y) = -3*y**2 - 2*y + y - y - 2. Let x(f) = -13*f**2 - 7*f - 7. Let l(n) = m*x(n) - 9*d(n). Factor l(a).
(a + 2)**2
Let h(x) be the second derivative of -x**7/8820 + x**6/840 - x**5/210 - x**4/6 - 3*x. Let k(o) be the third derivative of h(o). Find v, given that k(v) = 0.
1, 2
Let i be -6 + (4 - 1) + 6 + -3. Factor -9/7*y**3 - 3/7*y**4 + 0*y + i - 6/7*y**2.
-3*y**2*(y + 1)*(y + 2)/7
Let j(g) be the second derivative of -g**4/33 + g**3/11 + 2*g**2/11 + 2*g. Factor j(p).
-2*(p - 2)*(2*p + 1)/11
Let b(s) = -5*s**4 - 2*s**3 + 28*s**2 - 24*s + 3. Let l(y) = y**4 - y**3 - y**2 + 1. Let z(q) = b(q) + 6*l(q). Factor z(n).
(n - 3)**2*(n - 1)**2
Find z, given that 0*z**2 + 2/7*z + 0 - 2/7*z**3 = 0.
-1, 0, 1
Let s be 3/(-2)*30/(-9). Let f(t) be the second derivative of 1/126*t**7 + 0 - 1/18*t**3 + t + 1/18*t**4 - 1/45*t**6 + 0*t**2 + 0*t**s. What is v in f(v) = 0?
-1, 0, 1
Let a = 4 - 1. Factor 63*j**a + 4*j - 199*j**4 + 52*j**4 + 72*j**2 + 8*j.
-3*j*(j - 1)*(7*j + 2)**2
Let g be 0/((2/(-4))/(1/4)). Let x(c) be the first derivative of -c**2 + 2/3*c**3 + g*c + 2. Let x(w) = 0. Calculate w.
0, 1
Factor 1/2*a**2 + 0 - 3/2*a.
a*(a - 3)/2
Let q(x) be the first derivative of -x**6/24 - x**5/10 + x**4/16 + x**3/6 + 2. Suppose q(w) = 0. Calculate w.
-2, -1, 0, 1
Let b(l) be the first derivative of -l**5/5 - l**4/4 + 33. Solve b(h) = 0.
-1, 0
Let f(z) = -z**2 + 5*z - 2. Let p be f(5). Let d be p + 2/((-6)/(-15)). Suppose 8*j**2 - 2*j**4 - 4*j + 2 + 4*j**d - 8*j**2 = 0. Calculate j.
-1, 1
Let r(s) be the third derivative of s**9/211680 + s**8/70560 - s**7/17640 - s**6/2520 + s**5/20 - s**2. Let u(o) be the third derivative of r(o). Factor u(p).
2*(p - 1)*(p + 1)**2/7
Let s(q) be the second derivative of 0*q**2 - 13/12*q**4 + 1/3*q**3 + 23/20*q**5 - 2/5*q**6 - q + 0. Factor s(v).
-v*(v - 1)*(3*v - 2)*(4*v - 1)
Suppose 3 = 2*i - 5*z + 24, -4*z = i - 22. Solve 2*t**3 + 0 + t - 1/2*t**4 - 5/2*t**i = 0 for t.
0, 1, 2
Find s such that -4/5 + 12/5*s**4 + 4/5*s**5 - 8/5*s**2 + 8/5*s**3 - 12/5*s = 0.
-1, 1
Let n = 17 + -12. Suppose -i - 3 + n = 0. Let 5*k - 3*k + 4 + k**2 - 3*k**i = 0. What is k?
-1, 2
Suppose -92*a = -106*a + 42. Factor -2/11*h**2 - 2/11*h + 2/11 + 2/11*h**a.
2*(h - 1)**2*(h + 1)/11
Let z(h) be the third derivative of h**5/15 - 4*h**4/3 + 32*h**3/3 - 13*h**2. Factor z(q).
4*(q -