 1/36*l**4 + 0*l**2 + 0 - l. Suppose o(m) = 0. What is m?
0, 1
Let w be (-42)/(-15) + 2/10. Let q be 0 + (18/3)/w. Factor 5 + 2*c**q + 0*c - 3 - 4*c.
2*(c - 1)**2
Let k = 4 - 2. Suppose k*q - q**2 - 5*q - 2*q**4 + 5*q - 5*q**3 = 0. What is q?
-2, -1, 0, 1/2
Suppose r + 3*p = 28, -6*r - 3*p + 80 = -r. Let n = -11 + r. What is k in 22/5*k**n + 8/5*k**3 - 4/5 + 2*k = 0?
-2, -1, 1/4
Let d(g) = -g. Suppose 2*v - v = -2. Let l be d(v). Factor 2/3*r**3 - l*r - 4/3 + 0*r**2.
2*(r - 2)*(r + 1)**2/3
Let q(u) be the second derivative of -u**5/20 + u**3/2 + u**2 - 10*u. Factor q(p).
-(p - 2)*(p + 1)**2
Factor -10/9*n + n**2 + 1/9.
(n - 1)*(9*n - 1)/9
Let r(i) = -2*i**3 - 33*i**2 - 42*i - 23. Let k(h) = -5*h**3 - 65*h**2 - 85*h - 45. Let l(x) = 3*k(x) - 5*r(x). Determine p, given that l(p) = 0.
-4, -1
Suppose -5*r + 15 = -2*a + 11, -3*r = -2*a - 4. Solve 3/2*f**3 + r*f - 3/2*f**5 + 0*f**2 + 0*f**4 + 0 = 0 for f.
-1, 0, 1
Let q be (-12 - 0/(-1))/(-2). Suppose -4*a - 4*i + 8 = 0, -3*a + q*a - 3*i = 18. Determine h, given that 0*h**2 + 0 + 3/5*h**3 + 0*h + 3/5*h**a = 0.
-1, 0
Factor -10/7*n - 12/7 - 2/7*n**2.
-2*(n + 2)*(n + 3)/7
Let i(k) be the third derivative of 0*k - 1/105*k**7 - 1/3*k**3 + 0 - 1/168*k**8 + 1/15*k**5 - 1/12*k**4 - 5*k**2 + 1/30*k**6. Find d such that i(d) = 0.
-1, 1
Let c(t) be the first derivative of -3*t**4/26 - 4*t**3/39 + t**2/13 - 3. Let c(i) = 0. What is i?
-1, 0, 1/3
Let s = -13 - -15. Suppose -14 = -3*v - 3*w + 1, 0 = 5*v + s*w - 16. Factor 1/5*a - 1/5*a**3 + 1/5*a**v - 1/5*a**4 + 0.
-a*(a - 1)*(a + 1)**2/5
Let f(u) be the second derivative of u**4/120 + u**3/60 - u**2/10 - 22*u. Factor f(z).
(z - 1)*(z + 2)/10
Let a(m) be the third derivative of -m**6/40 + m**5/20 + m**4/4 + 39*m**2. Find y such that a(y) = 0.
-1, 0, 2
Suppose 0 = -7*p + 2*p + 10. Suppose 3*k = -3*u - 2 + 23, 0 = 3*u + k - 21. Solve -p + u*z - 1 + 3 + 3*z**3 - 8*z**2 - 2 = 0 for z.
2/3, 1
Let g(a) be the second derivative of -1/3*a**4 - 1/15*a**6 + 0 + 0*a**2 + a + 3/10*a**5 + 0*a**3. Factor g(y).
-2*y**2*(y - 2)*(y - 1)
Solve 1/4*n**3 - 1/2*n + 0 + 1/4*n**2 = 0.
-2, 0, 1
Suppose -v + 3*p + 2 = 0, -3*v + p + 3 + 11 = 0. Let a = -4 - -6. Factor f**2 - a*f**2 - 2*f - v + 4.
-(f + 1)**2
Let p(a) be the first derivative of -a**3/3 - 5*a**2 + 2*a + 4. Let z be p(-10). Factor 4/7*m**3 + 2/7*m**4 + 2/7 - 4/7*m**z - 2/7*m**5 - 2/7*m.
-2*(m - 1)**3*(m + 1)**2/7
Let v(h) be the third derivative of h**7/840 + h**6/240 + 5*h**4/24 - 6*h**2. Let c(f) be the second derivative of v(f). Suppose c(b) = 0. Calculate b.
-1, 0
Let v be 1/(-4)*((-4)/(-42))/(-1). Let l(a) be the second derivative of -v*a**7 - 2/15*a**6 - 3/10*a**5 - 3*a - 1/3*a**4 + 0*a**2 + 0 - 1/6*a**3. Factor l(d).
-d*(d + 1)**4
Let u(q) be the first derivative of -q**5/15 - q**4/24 - 2*q**2 - 2. Let a(c) be the second derivative of u(c). What is j in a(j) = 0?
-1/4, 0
Let h(w) be the second derivative of w - 1/6*w**4 + 2/3*w**3 - 4/3*w**2 + 1/60*w**5 + 0. Factor h(d).
(d - 2)**3/3
Factor 1/2*y**2 - 3/2*y + 1.
(y - 2)*(y - 1)/2
Factor 10*g**3 - 2*g - 474*g**2 - 8*g + 479*g**2 - 5*g**4.
-5*g*(g - 2)*(g - 1)*(g + 1)
Let t be (-10)/(-8) + (-1 + 0)*1. Suppose -1/4*u**2 - 1/4*u**3 + t + 1/4*u = 0. What is u?
-1, 1
Suppose -3*z - s = -5 - 4, -9 = -3*z - 5*s. Let z*k**2 + 2*k - 7*k - k - 1 + 4 = 0. Calculate k.
1
Let a(f) = 4*f**4 - 2*f**3 - 9*f**2 + 4*f + 7. Let q(y) = -y**4 + y**3 + 3*y**2 - y - 2. Let p(c) = -4*a(c) - 14*q(c). Factor p(z).
-2*z*(z + 1)**3
Let k = 613 - 610. Factor g + 0 + 1/2*g**2 - g**k - 1/2*g**4.
-g*(g - 1)*(g + 1)*(g + 2)/2
Let f be (-4)/(7/((-21)/6)). Suppose -b - 41 = p - 6*p, 12 = f*p + 4*b. Factor -2*x + p*x**2 - 14/3*x**3 - 4/3.
-2*(x - 1)**2*(7*x + 2)/3
Suppose 0 = -4*i - 12, -5*y - i - i + 4 = 0. Factor 6/5*q**5 - 2/5*q**3 - 4/5*q**4 + 0*q**y + 0 + 0*q.
2*q**3*(q - 1)*(3*q + 1)/5
Let r(n) be the second derivative of 5*n**4/12 - 20*n**3/3 - 14*n. Factor r(x).
5*x*(x - 8)
Factor -3*k**3 - 756 + 756 + 2*k + k**2.
-k*(k - 1)*(3*k + 2)
Let b = 18/7 + -641/252. Let f(k) be the third derivative of 1/18*k**3 + 0*k + 2*k**2 + 0 + b*k**4 + 1/180*k**5. Factor f(q).
(q + 1)**2/3
Let v = -13 - -18. Factor 0*j**2 - 4/7*j**3 + 0 + 0*j - 6/7*j**4 - 2/7*j**v.
-2*j**3*(j + 1)*(j + 2)/7
Suppose 0 = -3*k + n + 11, -4*k = -0*k + 3*n - 6. Factor 6/11*i**2 - 8/11 + 2/11*i**k + 0*i.
2*(i - 1)*(i + 2)**2/11
Let t(d) be the second derivative of -3*d**5/10 - 19*d**4/6 + 41*d**3/9 - 7*d**2/3 - 10*d. Factor t(n).
-2*(n + 7)*(3*n - 1)**2/3
Let d be (-116)/(-10) - (-4)/10. Suppose -12 - 16*u**2 + 16*u**4 - 4*u + 4*u**3 + d = 0. Calculate u.
-1, -1/4, 0, 1
Let k = 45/17 - 27/68. Solve 3/4*q - k*q**4 - 27*q**5 + 69/4*q**3 - 27/4*q**2 + 0 = 0.
-1, 0, 1/4, 1/3
Let p(a) be the third derivative of -a**7/665 + a**6/570 + a**5/570 + 2*a**2. Solve p(s) = 0.
-1/3, 0, 1
Suppose 12*u**4 + 7*u**2 - 13*u**2 + 4*u**5 + 12*u**3 + 10*u**2 = 0. What is u?
-1, 0
Suppose 3*t - 24 = 3*i, -6*t - 2*i + 8 = -2*t. Factor -g**3 - 2*g**5 + g**4 - 6*g**2 + g**t + 3*g**5 + 4*g**2.
g**2*(g - 1)*(g + 1)*(g + 2)
Suppose -5 + 2 + j**3 + 8*j**4 - 9*j**4 + 11*j + 7 + 9*j**2 = 0. What is j?
-1, 4
Let l = -1207 + 4831/4. Solve -l*m**3 + 3/2*m**2 + 3/4*m - 3/2 = 0 for m.
-1, 1, 2
Let l(o) be the second derivative of -o**7/280 + o**6/80 - o**5/80 - 2*o**2 + 3*o. Let k(x) be the first derivative of l(x). Find h, given that k(h) = 0.
0, 1
Let m(g) be the second derivative of -1/56*g**7 + 3/40*g**5 + 1/8*g**4 + 0 - 3/8*g**2 - 1/40*g**6 - 1/8*g**3 - 3*g. Suppose m(i) = 0. Calculate i.
-1, 1
Suppose 4*l = -49 + 17. Let o be l/(-14)*(-49)/(-70). Factor -6/5*u + o*u**2 + 4/5.
2*(u - 2)*(u - 1)/5
Let h(n) be the second derivative of 1/15*n**6 - 1/63*n**7 - 1/10*n**5 + 0*n**2 + 4*n + 0*n**3 + 1/18*n**4 + 0. Let h(o) = 0. What is o?
0, 1
Let y(l) be the first derivative of -l**5/30 - l**4/12 + 2*l**3/3 - 3*l**2/2 + 2. Let v(w) be the second derivative of y(w). Factor v(a).
-2*(a - 1)*(a + 2)
Factor -45*n**3 + 36*n**4 - 15*n**4 + 1690*n**5 - 1693*n**5 + 27*n**2.
-3*n**2*(n - 3)**2*(n - 1)
Let i(d) = 3*d**2 + 2*d + 3. Let w(k) = 3*k. Let r be w(1). Let j(u) = u - 1. Let l(c) = r*i(c) + 6*j(c). Solve l(f) = 0 for f.
-1, -1/3
Let m(j) = 3*j + 3. Let f be m(-1). Let n(w) be the second derivative of 1/147*w**7 - 2*w + 0*w**2 + 0 - 2/105*w**6 + 0*w**3 + 1/70*w**5 + f*w**4. Factor n(q).
2*q**3*(q - 1)**2/7
Let w be 1/(-7)*224/(-64). Factor 1/4*v + 1/4 + 1/4*v**5 - w*v**3 - 1/2*v**2 + 1/4*v**4.
(v - 1)**2*(v + 1)**3/4
Factor -10*f**2 + 9*f**2 - 11*f**2 - 12*f**3 - 4*f**4 - 4*f.
-4*f*(f + 1)**3
Let d(i) = -4*i**2 - 8*i. Let q(l) = -l. Let p(t) = d(t) - 8*q(t). Factor p(z).
-4*z**2
Let c be 2 + -3 - 3/(-1). Factor -c*i**3 - 4 + 6*i + 0*i**3 + 0.
-2*(i - 1)**2*(i + 2)
Suppose 0 = -x - 3 + 2. Let t be (0 - 2)/(x/2). Let 3*j**4 + 4*j**4 - 4*j**t + 3 - 6*j**2 = 0. What is j?
-1, 1
Suppose 11 + 198 - 25*s + 4*s**2 + 47 - 39*s = 0. Calculate s.
8
Suppose -3*f + 0 + 6 = 0. Solve 2*g**f - 4*g + 3*g - 2*g + 6 - 5*g = 0.
1, 3
Let z(y) be the second derivative of -3*y**5/20 + 7*y**4/4 - 4*y**3 - 24*y**2 - y - 4. Factor z(g).
-3*(g - 4)**2*(g + 1)
Let m be ((-8)/(-60))/((-16)/25). Let k = 1/72 - m. Determine i, given that -k*i - 2/9*i**2 + 2/9*i**3 + 0 + 2/9*i**4 = 0.
-1, 0, 1
Let b(j) = j**3 - 2*j**2 - 10*j + 11. Let d be b(4). Factor 0*n - 2/3*n**2 + 0 - 11/3*n**d - 7/3*n**5 - 16/3*n**4.
-n**2*(n + 1)**2*(7*n + 2)/3
Factor j**4 + 79 + 2*j**3 - 9*j - 83 + j - 3*j**2.
(j - 2)*(j + 1)**2*(j + 2)
Suppose 0 = 2*b - b - 3, -t + 4 = -b. Suppose -3*n + 5*c + t + 2 = 0, n + 4*c - 3 = 0. Suppose 2*h**n + 4*h**2 + 5 + 2*h - 5 = 0. What is h?
-1, 0
Let j(m) be the second derivative of 1/4*m**4 + 0*m**2 + 1/30*m**6 - 3/20*m**5 + 0 + 3*m - 1/6*m**3. Factor j(v).
v*(v - 1)**3
Let i(r) be the third derivative of 0*r**3 + 1/15*r**5 + 1/60*r**6 + 0 + 3*r**2 + 1/12*r**4 + 0*r. Factor i(c).
2*c*(c + 1)**2
Find g, given that -23*g**3 + 60 - 24*g**2 + 27*g**5 - 4*g + 24*g**4 + 64 - 124 = 0.
-1, -2/3, -2/9, 0, 1
Let l be (1/16)/((-45)/(-180)). What is z in l*z**2 + 1/2 + 3/4*z = 0?
-2, -1
Let k be (6/4)/(2/4). Let g(i) be the second derivative of 1/54*i**4 + 0*i**2 + 0 + 1/27*i**k - i. Find r such that g(r) = 0.
-1, 0
Let n(j) be the first derivative of -j**5/180 - j**4/18 - j**3/6 - 3*j**2 - 2. Let u(h) be 