hat is k?
1/4, 1, 2
Let v be (-1)/5 + (-88)/(-40). Factor -8*l - 2 - 2 + 22*l**v - 26*l**2.
-4*(l + 1)**2
Let q(o) be the first derivative of 3*o**4/4 + 5*o**3 + 11*o**2/2 - o - 3. Let t(a) = -2*a**3 - 8*a**2 - 6*a. Let l(p) = -4*q(p) - 7*t(p). Factor l(k).
2*(k - 2)*(k - 1)*(k + 1)
Suppose 0 = 113*l - 117*l + 8. Factor -2/5*g**l + 2/5*g**4 + 0*g**3 + 0*g + 0.
2*g**2*(g - 1)*(g + 1)/5
Determine r so that 15/4*r**2 + 0*r**3 - 3/4*r**4 - 3 + 0*r = 0.
-2, -1, 1, 2
Let l(y) be the first derivative of 0*y - 3/4*y**4 - 8 - 3*y**2 + 3*y**3. Factor l(m).
-3*m*(m - 2)*(m - 1)
Suppose -2 - 40*i**3 - 2*i**2 + 39*i**3 + 4*i + 6 + 4 = 0. Calculate i.
-2, 2
Let h(p) be the first derivative of p**4/12 + p**3/3 + p**2/2 + p/3 - 63. Factor h(y).
(y + 1)**3/3
Let p(a) = -6. Let r(s) = 2*s**2 + 2*s + 14. Let t(v) = -v**2 - 3 + 0*v**2 - v - 4. Let w(i) = -4*r(i) - 7*t(i). Let f(x) = 3*p(x) - 2*w(x). Factor f(y).
2*(y - 1)*(y + 2)
Let n(u) be the third derivative of -1/210*u**7 - 1/6*u**3 + 0 + 0*u + u**2 - 1/336*u**8 + 1/60*u**6 + 1/30*u**5 - 1/24*u**4. Factor n(h).
-(h - 1)**2*(h + 1)**3
Let h(x) be the second derivative of x**6/105 + 3*x**5/35 + 2*x**4/7 + 8*x**3/21 + 3*x. Suppose h(y) = 0. What is y?
-2, 0
Let n(l) = 13*l + 91. Let k be n(-7). Suppose 2/3*c**3 + 0 + 0*c**4 + k*c + 0*c**2 - 2/3*c**5 = 0. What is c?
-1, 0, 1
Let a(z) be the second derivative of -1/6*z**3 + 0*z**2 + 5/12*z**4 + z + 1/10*z**6 + 0 - 7/20*z**5. Solve a(v) = 0.
0, 1/3, 1
Let y(p) be the third derivative of 0*p + 1/60*p**6 + 2/3*p**3 + 0 + 0*p**5 + 4*p**2 - 1/4*p**4. Factor y(v).
2*(v - 1)**2*(v + 2)
Determine y, given that -y - 1/4*y**4 - 2*y**2 - 5/4*y**3 + 0 = 0.
-2, -1, 0
Let r be (-80)/(-96)*3/50. Let s(d) be the first derivative of -1/8*d**4 + 3 + 1/6*d**3 + 1/8*d**2 - 1/4*d - r*d**5 + 1/24*d**6. Factor s(y).
(y - 1)**3*(y + 1)**2/4
Let m(l) = -l**2 - l. Let j(w) = -35*w**3 - 100*w**2 - 40*w. Let t(o) = j(o) - 20*m(o). Suppose t(s) = 0. What is s?
-2, -2/7, 0
Let z(f) be the first derivative of 16*f**6/3 + 48*f**5/5 + 9*f**4/2 + 2*f**3/3 + 3. Factor z(n).
2*n**2*(n + 1)*(4*n + 1)**2
Let j(d) = -d**4 + d**2 + d. Let k(a) = -12*a**4 + 6*a**2 + 9*a. Let o(b) = -15*j(b) + k(b). Factor o(g).
3*g*(g - 2)*(g + 1)**2
Let j(y) be the second derivative of -y**4/30 - y**3/5 - 2*y**2/5 + 11*y. Solve j(k) = 0.
-2, -1
Determine q so that q + 1/3*q**2 - 2/3 + 1/3*q**4 - q**3 = 0.
-1, 1, 2
Let p(g) be the third derivative of g**6/60 - 2*g**5/15 + 5*g**4/12 - 2*g**3/3 + g**2 + 5. Determine h, given that p(h) = 0.
1, 2
Let k(b) be the second derivative of -5*b**7/42 + b**6/6 + b**5/4 - 5*b**4/12 - 8*b. Suppose k(i) = 0. What is i?
-1, 0, 1
Let f = -32 + 34. Let k be (2 - 5)*(-2)/18. Factor -k + 1/3*r**f + 0*r.
(r - 1)*(r + 1)/3
Let c be ((-2)/(-52))/(3/(-9)). Let x = 17/78 - c. Factor -2/3*b + 0 + x*b**3 + 1/3*b**2.
b*(b - 1)*(b + 2)/3
Let x(g) be the first derivative of -g**3/18 - g**2/2 - 3*g/2 + 4. Factor x(v).
-(v + 3)**2/6
Let q be (8/(-6) - -1)*-57. Suppose -1 - q = -5*h. Factor -2*z**2 + 7*z**2 - h*z**2.
z**2
Let x(u) = 3*u + 2. Let r be x(-3). Let z be 6/(-21) - 30/r. Suppose -2*h - 2*h**z - 2*h**3 + h + 2*h**2 + 3*h = 0. What is h?
-1, 0, 1
Suppose 0*c - 5*d = -3*c - 25, 4*d - 18 = 2*c. Let z be 2/c + (-22)/(-5). What is p in -2/3*p**3 + 0*p - 2/3*p**z + 2/3*p**2 + 0 + 2/3*p**5 = 0?
-1, 0, 1
Let n(m) = 2*m**4 - 9*m**3 + 5*m**2 + 3*m - 4. Let q(p) = 4*p**4 - 17*p**3 + 9*p**2 + 7*p - 8. Let t(s) = 10*n(s) - 6*q(s). Factor t(x).
-4*(x - 2)*(x - 1)**2*(x + 1)
Let k(d) = d**2 - 8*d + 2. Suppose 3*f - 7 - 17 = 0. Let o be k(f). Solve s + 4*s**2 - 3*s**3 - 2*s - 2*s**o + 2*s = 0 for s.
-1/3, 0, 1
Let q be (-5)/((-15)/9)*1. Find h such that 10/11*h**5 - 36/11*h**4 - 16/11*h**2 + 4/11 - 6/11*h + 4*h**q = 0.
-2/5, 1
Let t(h) be the third derivative of -1/360*h**6 + 0*h**3 + 0*h**5 + 3*h**2 + 0 - 1/630*h**7 + 0*h + 0*h**4. Find v, given that t(v) = 0.
-1, 0
Let f(d) be the second derivative of 3*d**5/100 + 3*d**4/20 + d**3/5 - 7*d. Factor f(r).
3*r*(r + 1)*(r + 2)/5
Let p(q) = -q**2 - q. Let h(m) = -4*m**2 + 8*m + 2. Let i(j) = -h(j) - 3*p(j). Let i(k) = 0. What is k?
-2/7, 1
Suppose -6 = -3*r - 0, 0 = s - r - 4. Let o(z) be the third derivative of z**2 + 0*z**3 + 1/60*z**s + 1/15*z**5 + 1/12*z**4 + 0 + 0*z. Let o(q) = 0. What is q?
-1, 0
Factor -1/5*v**2 + 4/5 + 3/5*v.
-(v - 4)*(v + 1)/5
Let z(m) be the third derivative of -m**6/120 + m**5/60 - m**3/6 + 2*m**2. Let o be z(-1). Determine h, given that o + 3*h**3 - 1 + 4*h**2 - 5*h**3 = 0.
0, 2
Let b(w) = -w**3 - 19*w**2 + 44*w + 44. Let a be b(-21). Let 0 + 2/3*v - 1/3*v**a = 0. Calculate v.
0, 2
Let y = -11 - -18. Let a be -2 - -5 - 17/y. Factor 0*s**2 - 6/7*s + a + 2/7*s**3.
2*(s - 1)**2*(s + 2)/7
Let n be (-2)/(-11) + (-9)/(-11). Let k be n*1/(-7)*-10. Factor -k*p - 4/7*p**4 - 18/7*p**2 - 2/7 - 2*p**3.
-2*(p + 1)**3*(2*p + 1)/7
Let h(k) be the third derivative of 0*k + 1/336*k**8 + 0 - 1/120*k**6 - 1/105*k**7 - 2*k**2 + 0*k**3 + 0*k**4 + 1/30*k**5. Solve h(x) = 0.
-1, 0, 1, 2
Let b(t) = t**3 - 7*t**2 - 2*t + 8. Let v be b(7). Let l = -4 - v. Suppose g**l + 2*g**4 - 3*g**3 - 4*g**2 + g**4 + 3*g = 0. What is g?
-1, 0, 1
Let p(f) be the third derivative of f**7/945 - f**6/540 - f**5/90 + 5*f**4/108 - 2*f**3/27 - 19*f**2. Factor p(r).
2*(r - 1)**3*(r + 2)/9
Let l(j) be the third derivative of -j**6/24 + j**5/12 - 26*j**2. Factor l(q).
-5*q**2*(q - 1)
Let q(u) be the second derivative of -u**7/2268 - u**6/405 + u**5/135 - u**4/3 + u. Let l(y) be the third derivative of q(y). Let l(k) = 0. Calculate k.
-2, 2/5
Let b = -74 + 297/4. Determine c so that 1/2*c**2 + b*c**3 + 0 + 1/4*c = 0.
-1, 0
Let g(d) be the first derivative of 0*d**2 + 0*d - 1/8*d**6 + 9 + 3/20*d**5 + 0*d**4 + 0*d**3. Factor g(x).
-3*x**4*(x - 1)/4
Let j(l) be the second derivative of -l**8/3360 - l**7/252 - l**6/45 - l**5/15 + l**4/12 - 3*l. Let c(a) be the third derivative of j(a). Factor c(u).
-2*(u + 1)*(u + 2)**2
Let h(z) = -z**4 + z**3 + z**2 - 1. Let i(g) = -9*g**4 + 3*g**3 + 18*g**2 - 12. Let r(t) = 12*h(t) - i(t). Factor r(v).
-3*v**2*(v - 2)*(v - 1)
Let n(c) = -c**2 - c - 1. Let v be (-5 - 1*-2)/(-3). Let f(g) = g**2 + 9*g - 1. Let d(o) = v*f(o) + 3*n(o). Solve d(r) = 0.
1, 2
Let q(p) = -p + 11. Let h be q(8). Let u = 12 - 6. Factor -6*z + u*z - z**4 + 2*z**h.
-z**3*(z - 2)
Factor -1/3*x**3 + 1/3*x + 0*x**2 + 0.
-x*(x - 1)*(x + 1)/3
Let i(a) = 11*a**5 + 41*a**4 + 50*a**3 + 12*a**2 - 2. Let n(k) = 34*k**5 + 124*k**4 + 151*k**3 + 36*k**2 - 7. Let v(z) = -7*i(z) + 2*n(z). Factor v(l).
-3*l**2*(l + 2)**2*(3*l + 1)
Let l be (-18)/(-126) - (-34)/(-336). Let c(j) be the second derivative of -l*j**3 + 1/16*j**5 + 1/48*j**4 + 1/40*j**6 + 0 + j + 0*j**2. Factor c(v).
v*(v + 1)**2*(3*v - 1)/4
Solve 2/15*s**2 - 8/3*s + 40/3 = 0.
10
Let m(u) be the first derivative of -u**4/6 + 2*u**3/3 + 3*u**2 + 10*u/3 - 13. Determine o so that m(o) = 0.
-1, 5
Factor 35*m - 8*m**2 + m**2 - 20*m**3 + 27*m**2 + 2 + 8.
-5*(m - 2)*(2*m + 1)**2
Let f(b) = -5*b**2 + 2*b - 2. Let n be f(2). Let k be 1/(-4) - n/8. Factor k*m**2 - 4*m**4 - 2*m**3 + 2*m**4 + 2*m**5 + 0*m**3.
2*m**2*(m - 1)**2*(m + 1)
Let y(h) be the second derivative of -8*h**7/21 + 13*h**6/15 - h**5/5 - h**4/2 - 2*h + 1. Find d such that y(d) = 0.
-3/8, 0, 1
Let j(f) be the third derivative of f**6/420 + f**5/105 + f**2. Factor j(h).
2*h**2*(h + 2)/7
Factor 10*f + 7/2 - 3/2*f**2.
-(f - 7)*(3*f + 1)/2
Let t(k) be the first derivative of -k**4/10 - 4*k**3/5 - 9*k**2/5 - 34. Factor t(w).
-2*w*(w + 3)**2/5
Let t(o) = o + 9. Let w be t(-9). Let k be (15/(-35))/((-6)/4). Suppose -k*s**2 - 4/7*s + w = 0. Calculate s.
-2, 0
Let z(r) be the second derivative of 0*r**3 + 2/25*r**5 - 1/15*r**4 - 6*r + 0*r**2 - 3/70*r**7 + 1/50*r**6 + 0. Factor z(l).
-l**2*(l + 1)*(3*l - 2)**2/5
Suppose -7 + 18 = 4*r + k, 4*k = 12. Find l, given that 0*l - 1/5 + 1/5*l**r = 0.
-1, 1
Let d(h) be the first derivative of -2*h**5/5 - h**4/4 + h**3/3 - 9. Factor d(j).
-j**2*(j + 1)*(2*j - 1)
Let r(b) be the first derivative of 0*b**4 - 2 - 2/5*b**5 + 0*b**2 + 2/3*b**3 + 0*b. Factor r(n).
-2*n**2*(n - 1)*(n + 1)
Let j(d) = 2*d**5 - 8*d**4 + 58*d**3 - 84*d**2 + 56*d - 24. Let u(c) = c**4 + c**3 - c**2 - 1. Let r(s) = -j(s) + 8*u(s). Factor r(a).
-2*(a - 2)**3*(a - 1)**2
Let s(