pose a = 7 - 3. Let p(s) = -3*s**3 + 3*s**2 + 3*s - 3. Let i(d) = 4*d**3 - 4*d**2 - 4*d + 4. Let x(h) = a*i(h) + 6*p(h). What is c in x(c) = 0?
-1, 1
Let z = -27 + 31. Let q(a) be the first derivative of 0*a + 1/2*a**z - 1/4*a**2 - 2 + 1/2*a**3. What is n in q(n) = 0?
-1, 0, 1/4
Let s(v) be the second derivative of 0 - 1/18*v**3 + 4*v + 0*v**5 - 1/45*v**6 + 1/18*v**4 + 0*v**2 + 1/126*v**7. Suppose s(r) = 0. Calculate r.
-1, 0, 1
Let l(q) be the third derivative of -q**6/420 + q**4/84 + 4*q**2. Determine d so that l(d) = 0.
-1, 0, 1
Let y(r) be the first derivative of -48*r**5/5 + 6*r**4 + 15*r**3 - 12*r**2 + 3*r - 16. Suppose y(z) = 0. Calculate z.
-1, 1/4, 1
Let n(s) = -13*s - 33. Let a(k) = 3*k + 8. Let d(r) = -9*a(r) - 2*n(r). Let m be d(-6). Factor -1/4*y**3 + 0 + m*y + 1/4*y**2.
-y**2*(y - 1)/4
Let a be (-3)/(-12) - 118/(-8). Determine h, given that -1 + 12*h**2 + 1 - 3*h**3 - a*h**2 = 0.
-1, 0
Let o(j) = 52*j**4 + 120*j**3 + 23*j**2 - 3*j. Let m(x) = -x**4 + x**2 - x. Let b(r) = 3*m(r) - o(r). Suppose b(h) = 0. What is h?
-2, -2/11, 0
Suppose 33*y**3 - 53*y**3 + 4*y**2 + 28*y**3 + 4*y**4 = 0. What is y?
-1, 0
Let r be 1*2 - (-30)/10. Suppose -3*n**3 + 10*n**3 + r*n**3 + 6*n + 15*n**2 + 3*n**4 = 0. What is n?
-2, -1, 0
Let m be (-8)/50*(-3)/12. Let d(f) be the first derivative of 1/10*f**4 + 0*f + 1/15*f**3 + m*f**5 - 2 + 0*f**2. Factor d(z).
z**2*(z + 1)**2/5
Let x(b) = -b**3 - 4*b**2 - 6*b - 21. Let m be x(-4). Let p = -1 - -1. Factor p*v**2 + 0*v + 0 - 4/7*v**4 + 2/7*v**5 + 2/7*v**m.
2*v**3*(v - 1)**2/7
Solve 0*n + 0 + 1/3*n**2 + 1/3*n**4 - 2/3*n**3 = 0 for n.
0, 1
Let f(q) = -3*q**3 - 1. Let s be f(-1). Factor -2 + 2*w + 5 + w**s - 1 - 5.
(w - 1)*(w + 3)
Factor -u + 15*u**2 - 5 + 10 - 5*u**3 - 14*u.
-5*(u - 1)**3
Suppose -3*n - 9 = -6*n. Suppose -3 = -n*k + 3. Suppose 0*o**2 - k*o**2 + 4 - 3*o + o = 0. Calculate o.
-2, 1
Let q(s) be the third derivative of -s**6/300 - s**5/50 - s**4/30 - 19*s**2. Let q(w) = 0. What is w?
-2, -1, 0
Let x be -4*(1 + 2)/6. Let f be 0 - x - 8/5. Factor 2/5*d**2 - f*d**5 + 0*d - 2/5*d**4 + 2/5*d**3 + 0.
-2*d**2*(d - 1)*(d + 1)**2/5
Factor -4*g**4 + 7*g - 4*g**2 + 5*g**4 - 7*g.
g**2*(g - 2)*(g + 2)
Let j(u) = 18*u**3 - 3*u**2 + 15*u - 15. Let q(v) = -v**3 - v + 1. Let m(k) = -j(k) - 15*q(k). Factor m(f).
-3*f**2*(f - 1)
Let q(d) be the second derivative of d**7/70 + 3*d**6/25 + 9*d**5/25 + 2*d**4/5 + 2*d. What is r in q(r) = 0?
-2, 0
Let o(r) be the first derivative of 0*r + 0*r**2 - 3/16*r**4 - 1/24*r**6 + 1/12*r**3 + 3/20*r**5 + 2. Suppose o(n) = 0. What is n?
0, 1
Let g(z) be the first derivative of 0*z**2 - z**4 + 0*z**3 + 0*z + 4 - 4/5*z**5. Factor g(u).
-4*u**3*(u + 1)
Let z(m) be the second derivative of 1/4*m**4 + 27/10*m**5 + 0 + 3*m + m**7 - 31/10*m**6 + 0*m**2 - m**3. Find q, given that z(q) = 0.
-2/7, 0, 1/2, 1
Suppose 2*v + 17*v**3 + 3*v**3 + 8*v**4 - 20*v**5 - 8*v**2 - 2*v = 0. Calculate v.
-1, 0, 2/5, 1
Let t = -187 - -563/3. Factor t*k + 4/3 - 2/3*k**2.
-2*(k - 2)*(k + 1)/3
Suppose 0 = 3*z - 4*z - t, -3*z + 4*t = -21. Suppose -2*m**z - 3*m**4 - 3 - 4*m**3 + 6*m**4 - 2*m + 8*m = 0. Calculate m.
-1, 1
Find d such that 30 + 2*d**2 + 2*d**2 - d**2 + 18*d - 3 = 0.
-3
Let g = -6 + 1. Let l be 6/(g/((-20)/6)). Factor 1/2 + 1/2*h**l + 0*h - h**2 + 0*h**3.
(h - 1)**2*(h + 1)**2/2
Suppose -3*w - 36 = -6*w. Suppose 4*h - r - w = -3*r, 15 = 5*h - 2*r. Factor -2/3*c**2 + 2/3 + 2*c**h - 2*c.
2*(c - 1)*(c + 1)*(3*c - 1)/3
Let f(s) be the first derivative of -s**6/80 + 2*s**2 - 2. Let b(h) be the second derivative of f(h). Factor b(w).
-3*w**3/2
Let t(d) = -d + 1. Let m be t(4). Let w be (m - 1)*(-3)/18. Factor 0 - 2/3*a**2 + w*a.
-2*a*(a - 1)/3
Suppose k = -3*n - 5, 2*k - 6*k - 20 = -n. Let l be (11 - 7) + 2/(-2). Solve -2*y**4 - 10/3*y**2 + 14/3*y**l + n + 2/3*y = 0 for y.
0, 1/3, 1
Factor 4/7*h - 6/7 + 2/7*h**2.
2*(h - 1)*(h + 3)/7
Find q such that -8/5*q**2 + 2/5*q**3 + 0 + 6/5*q = 0.
0, 1, 3
Let l(f) be the second derivative of 3*f**5/100 - f**3/10 + 16*f. Factor l(c).
3*c*(c - 1)*(c + 1)/5
Let a(v) = -v**2 - 1. Let d(l) = 3*l**2 + 4. Let b(u) = -20*a(u) - 5*d(u). Solve b(z) = 0.
0
Let l(j) be the first derivative of -7*j**4/2 + 2*j**3 + 24*j**2/7 + 8*j/7 - 8. Factor l(m).
-2*(m - 1)*(7*m + 2)**2/7
Suppose -4*h = -2*u - 6 - 4, 0 = 2*h - 4*u - 8. Solve -q**3 + h*q**2 + q**4 + 7*q**3 - 9*q**4 = 0.
-1/4, 0, 1
Let x(v) be the second derivative of -1/8*v**3 - 3/4*v**2 + 1/16*v**4 - v + 0. Factor x(t).
3*(t - 2)*(t + 1)/4
Let x(n) be the third derivative of -n**7/70 - 3*n**6/40 + 17*n**2. Factor x(l).
-3*l**3*(l + 3)
Let -30*y - 388*y**2 + 193*y**2 - 75 + 192*y**2 = 0. Calculate y.
-5
Let b be (25 - 24)/(1/6). Let f(a) be the second derivative of -1/90*a**5 + 1/27*a**4 + 0*a**3 - 4*a + 0 + 0*a**2 - 1/45*a**b. Determine p, given that f(p) = 0.
-1, 0, 2/3
Let l(r) be the third derivative of 1/420*r**6 + 0*r - 2*r**2 - 1/28*r**4 - 2/21*r**3 + 0*r**5 + 0. Factor l(c).
2*(c - 2)*(c + 1)**2/7
Let t = -2369155/303 - -7819. Let b = 596/1515 + t. Factor -2/5*n**5 + b*n**3 + 0*n + 2/5*n**2 + 0 - 2/5*n**4.
-2*n**2*(n - 1)*(n + 1)**2/5
Let l be (-1)/(1 - (-3)/(-2)). Determine d so that d**2 + 3 - 1 + 4*d + 0 + d**l = 0.
-1
Suppose -3*p**4 + 6*p + 129*p**2 - 60*p**2 - 60*p**2 = 0. What is p?
-1, 0, 2
Let m(c) be the third derivative of -c**5/60 - 2*c**3/3 + c**2. Let j(k) = k**2 - k + 1. Let i(w) = 5*j(w) + m(w). Factor i(u).
(u - 1)*(4*u - 1)
Let y = -170 + 172. Factor -2/7*m**3 - 2/7 - 6/7*m**y - 6/7*m.
-2*(m + 1)**3/7
Factor 7 - u**3 - 8 + u**5 + 11*u**3 - 3*u**2 - 5*u**4 - 7*u**2 + 5*u.
(u - 1)**5
Let y(k) be the third derivative of 0*k + 0 + 0*k**3 - 1/42*k**4 - 1/735*k**7 + 1/210*k**6 + 1/210*k**5 - k**2. Factor y(m).
-2*m*(m - 2)*(m - 1)*(m + 1)/7
Let d(s) be the second derivative of -s**5/10 - 5*s**4/18 + 4*s**3/9 + 4*s**2/3 - 5*s. Suppose d(h) = 0. What is h?
-2, -2/3, 1
Suppose 2*w + 8 = -6. Let v = 7 + w. Factor -2/7*p**2 + v*p + 0.
-2*p**2/7
Let u(n) = -5*n**2 - 6*n - 8 + 6 + 13. Let t(w) be the second derivative of w**4/12 + w**3/6 - w**2 + 15*w. Let i(c) = -11*t(c) - 2*u(c). Factor i(b).
-b*(b - 1)
Suppose 136 = -i + 138. Solve -18*s**i + 54/5*s**3 + 48/5*s - 8/5 = 0.
1/3, 2/3
Let a(b) be the third derivative of -b**10/75600 + b**8/10080 + 7*b**5/60 + 3*b**2. Let u(f) be the third derivative of a(f). Suppose u(q) = 0. What is q?
-1, 0, 1
Let q(s) be the first derivative of -1 + 3/2*s**2 + 0*s - 2*s**3. Factor q(p).
-3*p*(2*p - 1)
Suppose -8*i = -53 + 5. Let z(k) be the third derivative of 1/3*k**3 - 1/30*k**5 + 0*k - 1/60*k**i - 2*k**2 + 0 + 1/12*k**4. Factor z(x).
-2*(x - 1)*(x + 1)**2
Let v(a) = 5*a**3 + 35*a**2 + 74*a + 36. Let s(j) = 10*j**3 + 70*j**2 + 147*j + 73. Let n(f) = -4*s(f) + 7*v(f). What is b in n(b) = 0?
-4, -2, -1
Suppose -3*c + 7 = -5. Let k(g) be the second derivative of 0 - 1/3*g**3 - 1/30*g**6 + 1/2*g**2 + 0*g**c + 1/10*g**5 + g. Factor k(q).
-(q - 1)**3*(q + 1)
Let o be ((-105)/360)/(1/(-3)). Factor 5/8*t**2 - 1/8*t**3 + 3/8 - o*t.
-(t - 3)*(t - 1)**2/8
Let w(v) be the third derivative of -v**7/42 + 5*v**6/24 - v**5/2 - 5*v**4/6 + 20*v**3/3 + v**2. Factor w(u).
-5*(u - 2)**3*(u + 1)
Let p(c) be the second derivative of -c**5/60 + c**4/6 - 2*c**3/3 - 5*c**2/2 - 5*c. Let x(u) be the first derivative of p(u). Suppose x(h) = 0. Calculate h.
2
Find j such that 34/7 + 2/7*j**2 - 36/7*j = 0.
1, 17
Let c(x) be the second derivative of 0*x**3 + 0*x**2 + 0 + 0*x**5 + 1/24*x**4 + 3*x - 1/60*x**6. Factor c(a).
-a**2*(a - 1)*(a + 1)/2
Let n(d) = 3*d - 6. Let i be n(6). Suppose 6*g + i = 9*g. Factor 0*r + 0 + 0*r**3 + 2/5*r**2 - 2/5*r**g.
-2*r**2*(r - 1)*(r + 1)/5
Let z = 20 - 18. Let m(r) be the first derivative of 0*r + 0*r**2 + 1/9*r**3 - 1/18*r**6 - z + 1/5*r**5 - 1/4*r**4. Suppose m(b) = 0. What is b?
0, 1
Let z(x) be the first derivative of 1/120*x**6 + 0*x**5 + x**2 + 3 - 1/24*x**4 + 0*x**3 + 0*x. Let r(q) be the second derivative of z(q). Factor r(v).
v*(v - 1)*(v + 1)
Let b(z) be the third derivative of -z**5/60 + z**4/8 + z**2 + 21*z. Suppose b(j) = 0. Calculate j.
0, 3
Let k(y) = -y**3 - 6*y**2 - 3*y - 15. Let d be k(-6). Factor 0 + 5/4*m**d - m**2 - 1/2*m**4 + 1/4*m.
-m*(m - 1)**2*(2*m - 1)/4
Suppose 5*s - 22 = u + 2*s, -5*s + 24 = -u. Let z = u - -21. What is w in 0 - z*w**2 + 2/7*