 (-3*(-60)/9)/(-1). Let o be 1 + -3 + (-64)/p. Let -2/5*g**5 + 0 - 2/5*g**2 - o*g**4 + 0*g - 6/5*g**3 = 0. Calculate g.
-1, 0
Determine i so that 1086*i**5 + 4*i - 1085*i**5 + 5*i**2 + 0*i**2 - 4 - 5*i**3 - i**4 = 0.
-2, -1, 1, 2
Let s(m) be the third derivative of -m**6/24 + m**5/6 + 5*m**4/6 - 20*m**3/3 - 4*m**2. What is t in s(t) = 0?
-2, 2
Let z be (-48)/18*1/(-4). Solve 0 - 1/3*x**3 + z*x**2 - 1/3*x = 0 for x.
0, 1
Suppose 2/13*w**3 + 0*w**2 - 2/13*w + 0 = 0. Calculate w.
-1, 0, 1
Let q(i) be the second derivative of i**4/36 + 13*i**3/9 + 169*i**2/6 + 35*i. Solve q(p) = 0.
-13
Let w(o) be the second derivative of 0 + o - 1/15*o**6 + 0*o**3 + 1/10*o**5 + 0*o**2 + 0*o**4. Determine k, given that w(k) = 0.
0, 1
Let t = 4 - -3. Factor t*v + 8*v - 13*v + v**2.
v*(v + 2)
Let 2/5*m**5 + 0*m**4 - 4/5*m**2 + 0 + 0*m - 6/5*m**3 = 0. Calculate m.
-1, 0, 2
Let h(u) = -5*u**4 - 9*u**3 + 11*u**2 + 29*u + 6. Let g(y) = 55*y**4 + 100*y**3 - 120*y**2 - 320*y - 65. Let a(r) = 4*g(r) + 45*h(r). Solve a(c) = 0.
-1, 2
Let t(h) be the first derivative of 3*h**5/5 + 3*h**4/2 + h**3 + 12. What is m in t(m) = 0?
-1, 0
Let g(l) be the first derivative of -l**3/9 - 3*l**2 - 27*l - 26. Solve g(n) = 0 for n.
-9
Let c(n) be the first derivative of n**7/210 + n**6/60 + n**5/60 + 3*n**2/2 + 1. Let f(d) be the second derivative of c(d). Factor f(r).
r**2*(r + 1)**2
Let m be (-45)/((-1)/((-10)/(-105))). Let -24/7*f + 8/7 - 8/7*f**3 - m*f**2 = 0. What is f?
-2, 1/4
Let v(s) = 21*s**3 - 18*s**2 + 4*s + 4. Let r(j) = -j**3 + 1. Let a(h) = 6*r(h) - v(h). Let o(b) be the first derivative of a(b). Factor o(m).
-(9*m - 2)**2
Let m(y) be the third derivative of 1/40*y**6 + 0*y**3 - 3/70*y**7 + 0*y - 1/4*y**4 + 2*y**2 + 0 + 3/20*y**5 + 1/112*y**8. Find g such that m(g) = 0.
-1, 0, 1, 2
Let m(d) be the second derivative of 0*d**6 + 1/63*d**7 - 1/15*d**5 + 1/9*d**3 + 0*d**2 + 0*d**4 + d + 0. Factor m(f).
2*f*(f - 1)**2*(f + 1)**2/3
Let i = 39/58 + 9/116. Suppose 3/4*v**3 + 3 - i*v**2 - 3*v = 0. Calculate v.
-2, 1, 2
Let b be (-459)/(-1020) + 1/(-5). Factor 0 + b*o**3 - 1/2*o - 1/4*o**2.
o*(o - 2)*(o + 1)/4
Let d be 1001/546 - 1/(-6). Find q, given that -2 - q + 1/4*q**3 + 1/2*q**d = 0.
-2, 2
Let l(y) = -2*y**3 + y**2 + 2*y + 1. Let b be l(-1). Suppose -4 = -3*q - 4*n - 15, 31 = 2*q - 5*n. Factor k**2 + k - 5*k**2 - q*k - b*k**3.
-2*k*(k + 1)**2
Let i be (6/(-15))/((-32)/20). Suppose -i*w + 0 - 1/4*w**2 = 0. Calculate w.
-1, 0
Let f(z) = -4*z**3 + 3*z**2 + 6*z - 2. Let a(j) = -23*j**3 + 17*j**2 + 35*j - 12. Let m(w) = -6*a(w) + 34*f(w). Factor m(c).
2*(c - 1)**2*(c + 2)
Let q = -61 + 245/4. Let h be (-2)/16*(-19 + 13). Find j such that 3/4*j**3 - 1/2*j**4 - h*j + q*j**2 + 1/4 = 0.
-1, 1/2, 1
Let r(s) be the second derivative of s**5/30 - s**4/2 + 8*s**3/3 - 16*s**2/3 + 17*s. Factor r(l).
2*(l - 4)**2*(l - 1)/3
Find b, given that 1/2*b + 1/4 + 1/4*b**2 = 0.
-1
Suppose -5*f = -2*l + 4, 0 = 16*f - 12*f. Solve -2/7*s**l + 0 - 4/7*s = 0.
-2, 0
Let r(v) = v + 11. Let q be r(-6). Suppose 0*s**2 + 4/9*s**3 - 2/3*s**4 + 0*s + 2/9*s**q + 0 = 0. Calculate s.
0, 1, 2
Suppose -9*k + 10*k = 0. Find x, given that x**5 + k*x**5 - x**2 - x**3 + 3*x**5 - 3*x**3 + x**4 = 0.
-1, -1/4, 0, 1
Let f be (-2 + 1 + 3)/1. Factor -i**2 - 8 + 0*i**f + 4*i**2 + 3*i**2 + 2*i**3.
2*(i - 1)*(i + 2)**2
Let s be -9 + 8 - (-2 - 1). Find p, given that 5/3*p**3 + 0 + 3*p**4 - 3*p**s + 2/3*p - 7/3*p**5 = 0.
-1, 0, 2/7, 1
Suppose -3*y - 6*v = -v - 12, 0 = -y + 5*v + 4. Suppose y*a - 7 = 5. What is h in 0*h**a + 4*h**2 + 2*h**3 - 2*h**2 = 0?
-1, 0
Let n(t) = t**2 - 2*t + 1. Let l be n(3). Let i = -2 + l. What is s in s - 3/2*s**i - 1/4 - 1/4*s**4 + s**3 = 0?
1
Let a(n) be the third derivative of n**8/224 - n**7/140 - n**6/40 + n**5/20 + n**4/16 - n**3/4 + 4*n**2. Suppose a(x) = 0. What is x?
-1, 1
Suppose 1/7*p - 2/7*p**2 + 0 = 0. What is p?
0, 1/2
Let o = 15 + -5. Let n(b) = 2*b**3 + 12*b**2 - 10*b + 16. Let j(v) = v**3 - v**2 + v + 1. Let k(i) = o*j(i) - n(i). Let k(a) = 0. What is a?
3/4, 1
Let l be (8/6)/((-4)/(-12)). Solve -9*u + 3*u**2 + 24*u + 6 - 11*u**l - 15*u**3 + 0*u**4 + 2*u**4 = 0 for u.
-1, -2/3, 1
Let c(u) be the third derivative of -u**6/40 + u**5/10 - u**4/8 - 12*u**2. Determine j so that c(j) = 0.
0, 1
Let q(p) be the third derivative of -1/48*p**4 + 4*p**2 - 1/80*p**6 + 0*p + 0 - 1/40*p**5 + 0*p**3 - 1/420*p**7. Factor q(z).
-z*(z + 1)**3/2
Let x(q) = -q - 5. Let l be x(7). Let h be ((-2)/(-3))/((-32)/l). Let h*v**3 + 0*v - 1/2*v**2 + 0 = 0. What is v?
0, 2
Let w(l) be the first derivative of l**4 - 6*l**2 - 8*l - 8. Factor w(p).
4*(p - 2)*(p + 1)**2
Let c be 16/(-6)*(-6)/4. Suppose 2 = 3*g - v - 4, 0 = -5*g - 5*v + 30. Let m**g - m + 2*m + m**2 - 2*m - m**c = 0. Calculate m.
-1, 0, 1
Suppose -3*x + 2*x = 3*j - 21, 129 = 4*x - 3*j. Let z = -5 + x. Factor 25*q + q**5 - z*q - q**4.
q**4*(q - 1)
Let m(r) be the second derivative of -2*r**4/15 - 2*r**3/5 + 4*r**2/5 - 37*r. Let m(j) = 0. What is j?
-2, 1/2
Factor -3*f + 2 - 6 + 4 - 3*f**2.
-3*f*(f + 1)
Suppose p + p = -5*j + 6, 4*p + 6 = -j. Suppose 1/3*o**j + 0 + 1/3*o**3 - 2/3*o = 0. Calculate o.
-2, 0, 1
Let r(a) be the second derivative of -a**6/240 - 2*a**2 + 4*a. Let u(c) be the first derivative of r(c). Factor u(g).
-g**3/2
Factor -6*s**4 + 5*s**4 + 9*s**3 - 12*s - 2*s**4.
-3*s*(s - 2)**2*(s + 1)
Let q(p) be the third derivative of 2*p**2 + 0*p**3 + 0 + 0*p - 1/12*p**4 - 1/30*p**5 - 1/240*p**6. Suppose q(u) = 0. What is u?
-2, 0
Suppose 0 = 2*l - 5*r - 5, 0 = l + 2*r + r + 3. Let k be (l - 3/(-12))*1. Solve -k*s + 1/4*s**2 + 0 = 0 for s.
0, 1
Let d(z) = z**2 - 8*z + 7. Let a be d(7). Suppose a = -3*u + u + 10. Let -u - 22*h + 1 - 120*h**2 - 16*h - 142*h**3 - 56*h**4 = 0. Calculate h.
-1, -2/7, -1/4
Factor 320*h + 4*h**5 + 320*h**2 + 160*h**3 + 23 + 59 + 40*h**4 + 46.
4*(h + 2)**5
Let w = -3 + 4. Let r(p) = -p + 1. Let k(o) = 2*o**3 - 4*o**2 + 4*o - 2. Let j(s) = w*k(s) + 6*r(s). Factor j(a).
2*(a - 2)*(a - 1)*(a + 1)
Factor -8/7 + 26/7*c**2 - 10/7*c**3 - 8/7*c.
-2*(c - 2)*(c - 1)*(5*c + 2)/7
Suppose 4*g - 22 = -7*g. Solve 0 + 2/5*w**4 + 2*w**3 + 14/5*w**g + 6/5*w = 0 for w.
-3, -1, 0
Suppose -5*l + 20 = 0, 2*c + 20 = c + 5*l. Suppose c*a - 20 = -a. What is t in -a*t - 24 - 16*t + 17*t**3 - 18*t**2 - 20*t**3 = 0?
-2
Let z(x) = -x**2 + 7*x + 3. Let m be z(7). Let -a**3 + 3*a**m + 3*a**2 - 5*a**3 + 3*a - 3*a**4 = 0. Calculate a.
-1, 0, 1
Let z(n) be the first derivative of -n**5/5 - n**4/2 - n**3/3 + 11. Factor z(i).
-i**2*(i + 1)**2
Let a(h) be the second derivative of 0*h**2 + 1/3*h**3 + 0*h**5 + 2/15*h**6 - 1/21*h**7 + 0 - 6*h - 1/3*h**4. Factor a(l).
-2*l*(l - 1)**3*(l + 1)
Factor 2 + 3 - 6 - 11 - 3*g**2 - 15*g.
-3*(g + 1)*(g + 4)
Suppose 5*l**2 + 14*l**5 - 7*l**5 - 5*l**4 - 20*l**3 + 0*l**2 + 13*l**5 = 0. What is l?
-1, 0, 1/4, 1
Let t(z) be the first derivative of -z**5/5 + z**4/2 + z**3 - 2*z**2 - 4*z - 2. Factor t(y).
-(y - 2)**2*(y + 1)**2
Let f = 1457/2 + -727. Factor -3*j**2 + 0 + 3/2*j + f*j**3.
3*j*(j - 1)**2/2
Let o(l) be the third derivative of -l**6/1080 - 2*l**3/3 + 3*l**2. Let u(f) be the first derivative of o(f). Factor u(n).
-n**2/3
Let x(k) = -2*k**4 - 13*k**3 + 25*k**2 + 33*k - 3. Let o(c) = -c**4 + c**3 - c + 1. Let u(a) = 3*o(a) + x(a). Determine g, given that u(g) = 0.
-3, -1, 0, 2
Let h(y) be the second derivative of y**5/30 + y**4/18 - y**3/9 - y**2/3 + 23*y. Determine c so that h(c) = 0.
-1, 1
Let m(w) = -3*w**5 - 8*w**4 + w**3 + 6*w**2 + 2*w. Let o(p) = p**3 - p**2 - p. Let k(i) = -m(i) + 2*o(i). Find d, given that k(d) = 0.
-2, -1, -2/3, 0, 1
Let i be ((-14)/3)/((-715)/66). Let j = i - 3/13. Factor -1/5*v**2 + 1/5*v - j*v**3 + 0 + 1/5*v**4.
v*(v - 1)**2*(v + 1)/5
Let g = 13 - 13. Let s(n) be the first derivative of 1/2*n**4 + g*n + 1 + 0*n**2 - 1/3*n**3. Factor s(c).
c**2*(2*c - 1)
Let s(d) be the first derivative of -2*d**6/3 + 2*d**4 - 2*d**2 - 11. Find a such that s(a) = 0.
-1, 0, 1
Factor -4*b**2 + 4 + 2*b + 5*b + 7*b - 12*b**3 - 2*b.
-4*(b - 1)*(b + 1)*(3*b + 1)
Let s(f) be the second derivative of 2*f**6/15 - f**4/3 - 27*f. Suppose s(z) = 0. Calculate z.
-1, 0, 1
Let v(b) be the third derivative of b**7/280 - b**6/96 - b**5/60 + b**4/24 + 16*b**2. Factor v(x).
x*(x - 2)*(x + 1)*(3*x - 2)/4
Let n be (-3 - -2)/(3/(-39)