*2 - 10*c - 14. Let f(x) = -x**2 + x + 1. Let l(s) = -6*f(s) - o(s). Suppose l(p) = 0. What is p?
-1, 2
Suppose 3*k + 30 = -0*o - 3*o, 0 = -k - 2*o - 14. Let f(p) = p + 8. Let l be f(k). Let n**4 + 0*n**5 + 0*n**l - n**2 - n**3 + n**5 = 0. Calculate n.
-1, 0, 1
Let r be (-8)/6 - (-15)/10. Let v(d) be the second derivative of 0 + 1/3*d**2 - 1/90*d**6 + 3*d - 1/20*d**5 - 1/36*d**4 + r*d**3. Factor v(t).
-(t - 1)*(t + 1)**2*(t + 2)/3
Suppose -b = -9 + 3. Factor 4 + 3*z**3 + 4 - 6*z - b*z + z**3.
4*(z - 1)**2*(z + 2)
Let t(j) be the third derivative of j**11/166320 - j**9/30240 - j**5/15 - 2*j**2. Let x(r) be the third derivative of t(r). Let x(m) = 0. What is m?
-1, 0, 1
Solve -2*z**3 + 4*z**2 + 52*z + 54*z - 108*z = 0 for z.
0, 1
Let h be (-3222)/12*254/15. Let x = h + 4561. Factor 2/5 + 54/5*v**4 + x*v**2 + 4*v + 108/5*v**3.
2*(v + 1)*(3*v + 1)**3/5
Let j(o) be the second derivative of o**4/12 + o**3/3 + o**2/2 + 9*o. Factor j(w).
(w + 1)**2
Let t(u) = -u**3 + u + 5. Let j be t(0). Suppose -10 - 15 = -j*z. Suppose 0 + 1/5*b**3 + 0*b**4 + 0*b - 1/5*b**z + 0*b**2 = 0. What is b?
-1, 0, 1
Suppose -2*a + 2*c = -16, -7*c = -a - 3*c + 23. Suppose 4*q - 5*w = 5, -5*q + 2 = a*w - 5*w. Solve 4/3*y**4 + q*y + 0 - 2/3*y**3 + 0*y**2 - 2/3*y**5 = 0.
0, 1
Let g = 81 - 971/12. Let r(v) be the second derivative of 0*v**2 + v + g*v**4 + 1/6*v**3 + 0. Determine q, given that r(q) = 0.
-1, 0
Let u be (-36)/(-10) + 4/10. Let l(i) be the third derivative of 1/24*i**6 - i**2 - 1/12*i**u + 0*i**3 + 0*i + 1/20*i**5 + 0. Find p such that l(p) = 0.
-1, 0, 2/5
Let u(l) be the first derivative of -2/3*l**3 + 0*l**2 + 2*l - 5. What is r in u(r) = 0?
-1, 1
Let m(v) be the first derivative of -1/4*v**2 + 0*v - 1/4*v**4 - 6 - 5/12*v**3 - 1/20*v**5. Factor m(t).
-t*(t + 1)**2*(t + 2)/4
Let l(i) be the third derivative of -i**8/560 - i**7/280 - i**3/2 - 2*i**2. Let r(v) be the first derivative of l(v). Factor r(n).
-3*n**3*(n + 1)
Let d(c) = c**2 + 6*c - 5. Let r be d(-7). Factor -2*i**2 + r*i**4 - 2*i**5 - 2*i**2 + 2*i**2 + 2*i**3.
-2*i**2*(i - 1)**2*(i + 1)
Let j(i) be the third derivative of -1/75*i**5 + 0 + 0*i + 0*i**3 + 0*i**4 - 8*i**2 - 1/150*i**6 + 1/420*i**8 + 2/525*i**7. Determine m so that j(m) = 0.
-1, 0, 1
Let f(c) be the third derivative of -c**5/80 + 3*c**4/32 - c**3/4 + 2*c**2 + 22*c. Factor f(w).
-3*(w - 2)*(w - 1)/4
Let z(t) be the third derivative of -t**5/3 - 4*t**4/3 + 8*t**3/3 + 14*t**2. Factor z(j).
-4*(j + 2)*(5*j - 2)
Let w(f) be the third derivative of 8/735*f**7 + 1/392*f**8 + 1/60*f**6 + f**2 + 0*f**3 + 0*f**4 + 0*f + 0 + 1/105*f**5. Let w(u) = 0. What is u?
-1, -2/3, 0
Let t(u) be the third derivative of 2*u**5/5 + 5*u**4/12 - 3*u**2. Let h(n) = -5*n**2 - 2*n. Let d(l) = -11*h(l) - 2*t(l). Let d(w) = 0. What is w?
-2/7, 0
Let p(c) = -7*c**2 - 2*c. Let s be p(-2). Let j be 9/15 - s/10. Factor 3*x**5 + x**4 - j*x**2 - 10*x**4 + 11*x**3 - 2*x**3 + 0*x**4.
3*x**2*(x - 1)**3
Let g(b) be the first derivative of 2*b**6/21 + 8*b**5/35 + b**4/7 + 5. Factor g(o).
4*o**3*(o + 1)**2/7
Let z(w) be the third derivative of -w**5/45 - 11*w**4/72 + w**3/6 - 18*w**2. Solve z(l) = 0 for l.
-3, 1/4
Determine g, given that 8/13 - 2/13*g**2 + 6/13*g = 0.
-1, 4
Factor -4*q + 7*q + 3 - 6*q**2 + 3*q**4 - 3*q.
3*(q - 1)**2*(q + 1)**2
Let f(u) be the second derivative of -u**6/75 - 3*u**5/50 - u**4/10 - u**3/15 + 13*u. Suppose f(w) = 0. What is w?
-1, 0
Let j(h) be the first derivative of h**3/3 + 15*h**2 + 225*h - 41. Determine w, given that j(w) = 0.
-15
Factor 8/3*b**3 + 0*b**2 + 0 + 0*b + 4/3*b**4.
4*b**3*(b + 2)/3
Let z(w) be the second derivative of 0*w**2 - 1/70*w**5 - 1/42*w**4 - 3*w + 0 + 1/105*w**6 + 1/21*w**3. Factor z(y).
2*y*(y - 1)**2*(y + 1)/7
Let r(s) be the third derivative of -s**5/210 - s**4/21 - 4*s**3/21 - 10*s**2. Factor r(o).
-2*(o + 2)**2/7
Let v(r) = r**3 - 2*r**2 + r - 2. Let z be v(2). Let -2/7*i**2 - 4/7*i + 4/7*i**3 + z + 2/7*i**4 = 0. Calculate i.
-2, -1, 0, 1
Let r(l) be the second derivative of 0*l**3 + 0 - 3*l - 3/20*l**5 - 1/20*l**6 + 0*l**2 + 0*l**4. Let r(g) = 0. Calculate g.
-2, 0
Factor -3*l - 36 + 20 + 22 - 3*l**2 + 0*l**2.
-3*(l - 1)*(l + 2)
Let d(z) = -5*z**3 + 4*z**2 - z - 6. Let i = 15 + -10. Let j(q) = -6*q**3 + 5*q**2 - 2*q - 7. Let g(s) = i*d(s) - 4*j(s). What is u in g(u) = 0?
-2, 1
Let c(b) be the third derivative of -b**8/1512 + b**7/945 + b**6/108 - b**5/270 - 2*b**4/27 - 4*b**3/27 + 41*b**2. Solve c(p) = 0.
-1, 2
Let k(c) = c + 13. Let f be k(-12). Let m(d) be the first derivative of 4/3*d**3 + 1/2*d**4 + 0*d + d**2 - f. What is u in m(u) = 0?
-1, 0
Let t(k) be the third derivative of -k**4/8 - k**3/6 - 2*k**2. Let v be t(-1). Factor 3 + 8*d - 2*d - v*d**2 - 7.
-2*(d - 2)*(d - 1)
Let n(v) be the first derivative of -v**3 - 1 - 4*v - 3 + 7*v. Find w such that n(w) = 0.
-1, 1
Factor 3/7*j**4 - 3/7*j**3 + 3/7*j**5 + 0 - 3/7*j**2 + 0*j.
3*j**2*(j - 1)*(j + 1)**2/7
Suppose -b = -5 + 3. Let -2*s**b - 8*s + 2 - 2 - 6 - 2 = 0. What is s?
-2
Let h(a) be the first derivative of a**6/18 + 2*a**5/15 - a**4/3 - 8*a**3/9 + 26. Factor h(k).
k**2*(k - 2)*(k + 2)**2/3
Let b = -12 - -16. Factor 13*a - 6*a - 2*a**2 + 2 + a**2 + b*a**2.
(a + 2)*(3*a + 1)
Let g(k) be the second derivative of k**7/210 + k**6/150 - k**5/100 - k**4/60 - 7*k. Suppose g(r) = 0. Calculate r.
-1, 0, 1
Let n = -1 - 1. Let j = n - -4. Find y, given that 1/2*y**j + 0 + 1/4*y**3 + 0*y = 0.
-2, 0
Let f(d) be the third derivative of -d**6/280 - 3*d**5/140 - 3*d**4/56 - d**3/14 + 8*d**2. What is q in f(q) = 0?
-1
Let b(j) be the first derivative of -1/3*j**3 - 1/420*j**5 + 2 - 1/1260*j**6 + 0*j**4 + 0*j + 0*j**2. Let n(d) be the third derivative of b(d). Factor n(a).
-2*a*(a + 1)/7
Suppose 8*n = 10*n - 6. Factor -3*j**2 + 0 - 5/3*j**4 + 4*j**n + 2/3*j.
-j*(j - 1)**2*(5*j - 2)/3
Find v, given that -4/5*v**5 + 2/5*v + 2*v**4 + 0 - 6/5*v**3 - 2/5*v**2 = 0.
-1/2, 0, 1
Let r(k) = -4*k**3 - 4*k**2 - 4*k + 6. Let t(c) = -9*c**3 - 9*c**2 - 8*c + 13. Suppose i - 8 + 2 = 0. Let f(a) = i*t(a) - 13*r(a). Find w such that f(w) = 0.
-2, 0, 1
Let i(v) be the first derivative of v**6/12 - v**5/10 - 5*v**4/8 - v**3/2 + 15. Factor i(b).
b**2*(b - 3)*(b + 1)**2/2
Suppose 4*p - p = 0, 0 = -3*g - 2*p + 12. Let d be (3 - (2 - 5)) + 2. Let 29*h + 135*h**g + 99*h**4 + 51*h + 82*h**3 - 226*h**2 - 162*h**5 - d = 0. What is h?
-1, 2/9, 1
What is l in -l + 20 + 7*l - 5*l**2 - l - 10 = 0?
-1, 2
Factor 14/3*k - 2 - 10/3*k**2 + 2/3*k**3.
2*(k - 3)*(k - 1)**2/3
Let b(r) be the first derivative of -3*r**4/20 - 7*r**3/5 - 12*r**2/5 + 48*r/5 + 9. Solve b(t) = 0.
-4, 1
Let b = -1174/63 + 132/7. Let q = 118/45 - 12/5. Find j such that -b*j**3 - q - 2/3*j - 2/3*j**2 = 0.
-1
Let m = -3 - -9. Let t = m + -3. Determine g so that 0 + 2/7*g**t + 4/7*g**2 + 2/7*g = 0.
-1, 0
Let z(v) be the third derivative of v**9/15120 - v**7/1260 + v**5/120 + v**4/4 - 2*v**2. Let f(a) be the second derivative of z(a). Factor f(s).
(s - 1)**2*(s + 1)**2
Let h(r) be the first derivative of -r**6/15 - 6*r**5/25 - 3*r**4/10 - 2*r**3/15 + 17. Determine f so that h(f) = 0.
-1, 0
Let f(t) = 4*t**4 - 7*t**3 - 20*t**2 - 5*t + 1. Let m(v) = -v**4 + v**3 - v**2 + v + 1. Let w(c) = 5*f(c) - 5*m(c). Factor w(x).
5*x*(x - 3)*(x + 1)*(5*x + 2)
Factor 3/2*y**4 + 3*y**3 - 3*y + 0*y**2 - 3/2.
3*(y - 1)*(y + 1)**3/2
Suppose -454*z**2 - 207*z**3 + 43*z**4 + 14*z - 52*z - 158*z + 28*z**5 - 24 = 0. Calculate z.
-2, -2/7, -1/4, 3
Let b(r) be the second derivative of -r**4/30 - r**3/30 + r**2/10 - 5*r. Factor b(z).
-(z + 1)*(2*z - 1)/5
Let r(i) = -3*i**2 - 4*i + 3. Let c = -23 - -20. Let y(o) = 2*o**2 + 4*o - 4. Let q(k) = c*y(k) - 4*r(k). Factor q(l).
2*l*(3*l + 2)
Let j(u) = -2*u + 1. Let p be j(-6). Let r(y) = 8*y**2 - 4*y - 6. Let c(q) = -17*q**2 + 8*q + 13. Let g(w) = p*r(w) + 6*c(w). Determine t so that g(t) = 0.
0, 2
Let u = 4 - 0. Let a(h) = h**2 - 5*h - 2. Let p be a(6). Let 5*l**2 + u - 3*l**2 - p + 2*l**3 = 0. What is l?
-1, 0
Let s(a) be the third derivative of -a**10/52920 - a**9/8820 - a**8/3920 - a**7/4410 - a**4/6 - 8*a**2. Let j(i) be the second derivative of s(i). Factor j(n).
-4*n**2*(n + 1)**3/7
Suppose -54 = -3*v - 0*v. Suppose -2*x - 14 = -v. Factor -2/5*a**x - 8/5 + 8/5*a.
-2*(a - 2)**2/5
Suppose -9*x - 397 = -442. Find q such tha