 = 0?
0, 1
Let z(k) = -15*k**5 + 45*k**4 + 12*k - 12. Let y(a) = 6*a**5 - 18*a**4 - 5*a + 5. Let d(w) = -12*y(w) - 5*z(w). What is m in d(m) = 0?
0, 3
Let d be ((-15)/(-81))/(1 + (-7)/42). Solve 4/9 - 2/9*f**2 + d*f = 0 for f.
-1, 2
Let n be (-2)/13 + (-82)/(-26). Suppose -4*u + q + 0 = -61, -2*u + 27 = n*q. Factor -6 - 25*a**2 - 2*a**2 - 21*a + a**4 - u*a**3 - 4*a**4.
-3*(a + 1)**3*(a + 2)
Let i(q) be the second derivative of 1/25*q**5 + 0 + 0*q**3 + 3*q + 0*q**2 + 1/25*q**6 - 1/30*q**4. Suppose i(f) = 0. What is f?
-1, 0, 1/3
Let s(l) = 11*l**5 + 10*l**4 + 7*l**3 + 3*l**2 - 5*l - 5. Let t(h) = 16*h**5 + 15*h**4 + 10*h**3 + 4*h**2 - 7*h - 7. Let u(c) = 7*s(c) - 5*t(c). Factor u(m).
-m**2*(m + 1)**2*(3*m - 1)
Factor 16 - 21 + u**2 - 16*u**2 - 20*u.
-5*(u + 1)*(3*u + 1)
Let -15*y**2 - 4*y + 6*y + 2*y + 10*y**2 = 0. What is y?
0, 4/5
Let k = -37 + 53. Find j, given that k*j**3 + 2*j**4 - 24*j**4 + 8*j**2 + 6*j**5 + 0*j**2 = 0.
-1/3, 0, 2
Let l(c) be the first derivative of -1/4*c**4 - 2/3*c**3 + 2 + 2*c + 1/2*c**2. Determine r, given that l(r) = 0.
-2, -1, 1
Let y(c) be the second derivative of 0 + 1/55*c**5 + 1/11*c**2 - 2/33*c**3 - c + 0*c**4 - 1/165*c**6. Let y(q) = 0. Calculate q.
-1, 1
Let o be (-2 - (1 + -1)) + -1. Let v be (-6)/(-9)*(-3)/o. Factor -v*q + 2/3*q**2 + 0.
2*q*(q - 1)/3
Let y(m) = -m + 1. Let t(n) = -n**2 - 7*n + 0*n**2 + 3 - 4 - n**2. Let g(x) = 2*t(x) + 2*y(x). Find u such that g(u) = 0.
-4, 0
Let 33/2*z + 15/2*z**4 + 51/2*z**3 + 63/2*z**2 + 3 = 0. What is z?
-1, -2/5
Let r be 6*8/(-3)*1. Let y be (r + 28)*(-1)/(-3). Determine j so that -2/5*j**y - 2/5*j**3 + 2/5*j**2 + 0 + 2/5*j = 0.
-1, 0, 1
Let g be 318/63 + -2 - 3. Let k(y) be the second derivative of y - 1/21*y**4 + g*y**3 + 0 + 0*y**2 + 1/70*y**5. Factor k(u).
2*u*(u - 1)**2/7
Let c(x) = 4*x**5 - x**4 - 4*x**3 - 2*x**2 - 3*x + 3. Let j(n) = n**5 - n**3 - n**2 - n + 1. Let i(g) = c(g) - 3*j(g). Determine b so that i(b) = 0.
-1, 0, 1
Let g be (-22)/6 + (-6 - (-11)/1). Determine x so that -2/3*x**3 - g*x**2 + 0 - 2/3*x = 0.
-1, 0
Factor 6*x**2 - 8*x**2 + 16*x - 8 - 8*x**2 + 2*x**3 + 0*x**3.
2*(x - 2)**2*(x - 1)
Let g(t) be the second derivative of -t**5/75 - t**4/20 + 2*t**3/15 - 2*t**2 - 2*t. Let a(u) be the first derivative of g(u). Suppose a(b) = 0. Calculate b.
-2, 1/2
Suppose 2*s - 4 = 4. Let l be 18/8 + (-1)/s. What is z in -5*z**2 + 4*z**2 + 2*z**l = 0?
0
Suppose 0 = 10*v - 14*v + 12. Let n(b) be the second derivative of -1/10*b**6 - 1/5*b**5 + 5/12*b**4 - b + 0 + 0*b**2 + 1/3*b**v. Determine y so that n(y) = 0.
-2, -1/3, 0, 1
Let j(f) be the third derivative of -f**5/180 - f**4/36 + f**3/6 - f**2. Let j(r) = 0. Calculate r.
-3, 1
Let i(k) be the second derivative of 2/5*k**5 + 1/3*k**2 - 4/9*k**3 - k + 1/5*k**6 - 1/9*k**4 + 0. Determine a, given that i(a) = 0.
-1, 1/3
Let x(d) be the third derivative of 1/120*d**4 + 0 + 0*d - 2/525*d**7 - 2*d**2 + 0*d**3 - 1/50*d**5 + 3/200*d**6. Suppose x(f) = 0. What is f?
0, 1/4, 1
Let w(r) be the second derivative of 7*r**5/5 - 19*r**4/3 - 4*r**3 - 11*r. Factor w(d).
4*d*(d - 3)*(7*d + 2)
Let i(z) = -9*z**2 - 48*z - 139. Let y(w) = 10*w**2 + 48*w + 138. Let r(c) = 6*i(c) + 5*y(c). Suppose r(p) = 0. What is p?
-6
Let k(u) be the first derivative of -7*u**3/9 + u**2/3 + 7. Factor k(q).
-q*(7*q - 2)/3
Solve 8/3 - 2/3*h**2 - 8/3*h + 2/3*h**3 = 0.
-2, 1, 2
Let n be (-3 - (-7)/5)*1/(-12). Let c(g) be the first derivative of -1/20*g**4 - 2/5*g + 1/10*g**2 + 1 + n*g**3. Factor c(j).
-(j - 2)*(j - 1)*(j + 1)/5
Solve -7*q**2 - 2 + 2 + 3*q**2 = 0 for q.
0
Let 0 + 2/7*z**2 - 2*z = 0. What is z?
0, 7
Let q = -314/3 - -106. Find i, given that 1/3 - q*i**2 + i = 0.
-1/4, 1
Let i(d) be the second derivative of 1/40*d**5 - 1/84*d**7 + 0*d**3 - 3*d + 0*d**6 + 0*d**2 + 0*d**4 + 0. What is m in i(m) = 0?
-1, 0, 1
Let m(x) = -x**3 - 6*x**2 + 7*x + 2. Let w be m(-7). Suppose 2*z = 4 + w. Find u such that 4*u**3 + 3*u**3 - 2*u**2 - 3*u**z - 2*u**3 = 0.
0, 1
Find b, given that 2/5 + 8/5*b**3 - 14/5*b**2 + 4/5*b = 0.
-1/4, 1
Let t(y) be the second derivative of y**6/120 + 3*y**5/80 + y**4/16 + y**3/24 - 56*y. Factor t(k).
k*(k + 1)**3/4
Let z(b) = -7*b**3 + 13*b**2 - 59*b + 59. Let k(l) = 4*l**3 - 6*l**2 + 30*l - 30. Let n(t) = -5*k(t) - 3*z(t). Factor n(o).
(o - 3)**3
Let z(m) = -9*m - 24. Let h be z(-3). Factor 0 + x + 3/2*x**2 + 1/2*x**h.
x*(x + 1)*(x + 2)/2
Let g be (12/(-63))/(0 + 90/(-21)). Let m(i) be the third derivative of 0 + 2/9*i**3 + 3*i**2 - 7/36*i**4 - g*i**5 + 0*i. Factor m(s).
-2*(s + 2)*(4*s - 1)/3
Determine i, given that -87*i**2 - 7 - 3*i**4 - 36*i**3 - 5*i**4 - 36*i + 31*i**2 - 1 = 0.
-2, -1, -1/2
Suppose -5*k + 6 = 2*f, -5*k + 14 = 2*f - 4*f. Factor 7*c + k - 1 - 5*c**2 - 3.
-(c - 1)*(5*c - 2)
Let a(k) be the third derivative of -k**6/120 - k**5/60 + k**3/6 + 3*k**2. Let r(n) = 2*n**4 - 6*n**3 + 4*n**2 - 1. Let y(h) = a(h) + r(h). Solve y(g) = 0.
0, 1/2, 3
Let f(o) be the second derivative of o**9/30240 - o**8/13440 - o**4/6 - 3*o. Let z(r) be the third derivative of f(r). Factor z(t).
t**3*(t - 1)/2
Let l(t) be the first derivative of 2*t**5/35 + t**4/7 + 2*t**3/21 - 2. Factor l(w).
2*w**2*(w + 1)**2/7
Let p(l) be the second derivative of -l**5/100 - l**4/60 + l**3/30 + l**2/10 - 7*l. Factor p(s).
-(s - 1)*(s + 1)**2/5
Let j = -43 - -47. Let x(c) be the second derivative of 0*c**j + 0*c**2 - 2*c + 0*c**3 - 1/10*c**6 + 0 - 3/20*c**5. Determine t, given that x(t) = 0.
-1, 0
Let j be -5 - (100/(-30) + -2). Suppose -j*f**2 - 1/3*f + 1/3*f**3 + 1/3*f**4 + 0 = 0. Calculate f.
-1, 0, 1
Let j = -71 - -139. Let b(k) = -2*k**2 - 3*k + 2. Let y(h) = 22*h**2 + 34*h - 22. Let p(w) = j*b(w) + 6*y(w). Factor p(n).
-4*(n - 1)*(n + 1)
Suppose 7 = -21*p + 7. What is j in -2/7*j**2 + p - 4/7*j = 0?
-2, 0
Let b(k) be the third derivative of -k**7/189 - 67*k**6/540 - 133*k**5/135 - 23*k**4/9 - 8*k**3/3 + 48*k**2. Solve b(a) = 0.
-6, -1, -2/5
Suppose 0 = -3*j - 0*j + 6. Suppose -n = -2*n + j. Factor -2 + 3 + p**n + 4*p - 6*p.
(p - 1)**2
Let h(z) = -9*z - 2 + 7*z**2 - 8 - 1. Let r(d) = d**2 - 2*d + 3*d**2 - 6 - 3*d. Let t(f) = -6*h(f) + 11*r(f). Suppose t(l) = 0. Calculate l.
0, 1/2
Let i(w) be the third derivative of w**7/105 - w**6/60 - w**5/10 + 5*w**4/12 - 2*w**3/3 + 3*w**2. Factor i(k).
2*(k - 1)**3*(k + 2)
Let n be (1 - (-2 - -5)) + 36/15. Factor -2/5 - 2/5*q**4 + 2/5*q**5 - 4/5*q**3 + 4/5*q**2 + n*q.
2*(q - 1)**3*(q + 1)**2/5
Suppose 3*a + 12 = 4*s, -3*s - 4*a + 16 = -8*a. Suppose s*q + q - 3 = 0. Find x such that 2*x**q + 0*x**3 - 3*x**5 + 3*x**5 - 2*x**5 - 2*x**2 + 2*x**4 = 0.
-1, 0, 1
Suppose 530 = 3*i - 8*i. Let o be (-3)/12 + i/(-40). Factor o*s**2 + 8/5*s**4 + 2/5*s + 18/5*s**3 + 0.
2*s*(s + 1)**2*(4*s + 1)/5
Let m(n) be the first derivative of 2*n**3/33 + 4*n**2/11 + 8*n/11 + 39. Factor m(x).
2*(x + 2)**2/11
Let n(i) be the third derivative of -i**6/24 - i**5/12 + 5*i**4/12 - 17*i**2. Factor n(o).
-5*o*(o - 1)*(o + 2)
Let x(i) be the second derivative of i**7/14 + i**6/10 - 3*i**5/20 - i**4/4 + 11*i. Determine f, given that x(f) = 0.
-1, 0, 1
Let x = 78 + -73. Let r(o) be the third derivative of 0 + 0*o + 1/12*o**4 + o**2 - 1/60*o**x - 1/6*o**3. Factor r(p).
-(p - 1)**2
Let d(w) = w**3 + 6*w**2 + 6*w + 8. Let z be d(-5). Let p(j) be the second derivative of 0*j**2 + 1/12*j**4 + 1/6*j**z + 3*j + 0. Let p(o) = 0. Calculate o.
-1, 0
Let z(p) be the second derivative of p**6/12 + 3*p**5/8 + 5*p**4/8 + 5*p**3/12 - 43*p. Factor z(h).
5*h*(h + 1)**3/2
Let v be -68*8/(-128) - (-1 + 5). Find m, given that 0 - v*m + 1/4*m**2 = 0.
0, 1
Let p(o) be the third derivative of 1/600*o**6 + 1/15*o**3 + 0*o + 0 + 1/75*o**5 + 1/24*o**4 - 5*o**2. Determine y, given that p(y) = 0.
-2, -1
Let j(n) = n**3 - 9*n**2 - 10*n + 4. Let g be j(10). Let v(a) be the first derivative of 1/6*a**g - 1/3*a**2 + 2 + 2/9*a**3 - 2/3*a. What is s in v(s) = 0?
-1, 1
Suppose -1/2*i**3 + 0 + 1/8*i - 1/4*i**2 + 3/8*i**5 + 1/4*i**4 = 0. What is i?
-1, 0, 1/3, 1
Let w(r) be the first derivative of -r**6/6 + r**5/5 + r**4/2 - 2*r**3/3 - r**2/2 + r - 1. Determine p, given that w(p) = 0.
-1, 1
Let i(r) be the third derivative of -r**7/6300 + r**6/450 - r**5/100 + r**4/6 + 6*r**2. Let q(y) be the second derivative of i(y). Factor q(d).
-2*(d - 3)*(d - 1)/5
Let w = 3 - 0. Let c(a) = 