t j(l) = n*s(l) + 4*f(l). Suppose j(o) = 0. What is o?
-1, 1
Find l, given that 2/19*l**3 - 2/19*l**4 + 18/19*l**2 + 8/19 + 22/19*l = 0.
-1, 4
Solve 4/3*o**2 + 14/3*o**4 + 0 + 6*o**3 + 0*o = 0 for o.
-1, -2/7, 0
Let l be 1*(1 - 0) + 12 + -11. Let m(s) be the second derivative of -1/8*s**l + s - 1/16*s**4 + 0 - 1/8*s**3 - 1/80*s**5. Factor m(o).
-(o + 1)**3/4
Let t = -4 + 8. Let x = 287/5 - 55. Suppose 28/5*r**2 - x*r - 4/5*r**5 + 2/5 - 32/5*r**3 + 18/5*r**t = 0. What is r?
1/2, 1
Let i(n) be the first derivative of -4*n**6/21 - 26*n**5/35 - 15*n**4/14 - 2*n**3/3 - n**2/7 + 3. Find c such that i(c) = 0.
-1, -1/4, 0
Determine v so that 6/5*v**2 + 0 + 8/5*v = 0.
-4/3, 0
Let l(a) be the first derivative of -a**4/10 + 8*a**3/15 + 35. Determine c, given that l(c) = 0.
0, 4
Let d(q) be the second derivative of 0*q**3 + 1/21*q**7 + 0 + 0*q**2 + 3*q + 1/5*q**6 + 3/10*q**5 + 1/6*q**4. Factor d(c).
2*c**2*(c + 1)**3
Let d(c) be the first derivative of -7 + 1/9*c**3 + 0*c + 1/3*c**2. Factor d(q).
q*(q + 2)/3
Let c(v) be the second derivative of 0 - 3/20*v**5 - 1/2*v**4 + 0*v**2 - 8*v - 1/2*v**3. Let c(l) = 0. Calculate l.
-1, 0
Find r, given that -2*r + 15*r**2 - 12*r**4 + 2*r - 12*r**3 - 4*r**5 - 19*r**2 = 0.
-1, 0
Suppose -6*z = -5*z - 3. Factor 0*j**5 + j**4 + 0*j**2 + 2*j**z - j**3 - j**2 - j**5.
-j**2*(j - 1)**2*(j + 1)
Let f be (2/3)/(4/(-6)). Let w be ((-8 + f)/3)/(-2). Factor c**3 + c + 1/4*c**4 + 1/4 + w*c**2.
(c + 1)**4/4
Let q be (-6)/15 - (-88)/(-5). Let z = q - -18. Factor 0*i + 6/7*i**3 + 6/7*i**4 + 2/7*i**2 + z + 2/7*i**5.
2*i**2*(i + 1)**3/7
Let j(w) = w**3 - 13*w**2 + 21*w + 14. Let f be j(11). Let -3/2 + 0*x - 3/2*x**4 + 0*x**f + 3*x**2 = 0. Calculate x.
-1, 1
Let h = 3 - 1. Let v(b) be the second derivative of 0 + 2*b + 1/3*b**3 - b**h - 1/24*b**4. Suppose v(m) = 0. What is m?
2
Suppose -3*h + 24 = -5*t - 2, 0 = -5*h - t + 6. Suppose 0*c**3 + 1/2*c - c**4 - 1/2*c**5 + 0 + c**h = 0. Calculate c.
-1, 0, 1
Let i(s) = 3*s**2 - 8*s - 6. Let p(j) = -j**2 + 4*j + 3. Let x(q) = 4*i(q) + 10*p(q). Solve x(g) = 0 for g.
-3, -1
Let m(b) = b - 3. Let x be m(5). Let s(z) be the second derivative of z - 3/5*z**x + 0 - 1/20*z**4 - 3/10*z**3. Determine k, given that s(k) = 0.
-2, -1
Let d be (-1 - 0)*-2*1. Let z(y) be the third derivative of -2*y**d + 0*y**3 - 1/90*y**5 + 0 + 1/36*y**4 + 0*y. Factor z(v).
-2*v*(v - 1)/3
Suppose t - 14 = 5*s, t = 3*t - s - 1. Let u(z) = z**3 + 2*z**2 + z. Let c be u(t). Factor v**2 + v**2 + c*v**2.
2*v**2
Let x(i) be the first derivative of -5*i**4 + 8/3*i**3 + 0*i + 9 + 0*i**2. Solve x(h) = 0 for h.
0, 2/5
Let t(j) = -j**2 - 2*j + 5. Let p(l) = -l**2 - 2*l + 4. Let h(d) = d**3 + 2*d**2 + 2*d. Let v be h(-2). Let f(u) = v*t(u) + 5*p(u). Factor f(c).
-c*(c + 2)
Let a(p) be the second derivative of -p**4/72 + p**3/18 - p**2/12 - 3*p. Let a(g) = 0. Calculate g.
1
Suppose 0 = -5*w - 25, 2*w = -2*v - 3*v. Let y(u) be the second derivative of 0 + 0*u**2 + 0*u**3 + v*u - 1/42*u**4. Factor y(k).
-2*k**2/7
Let f = -3 - -3. Let p(v) be the first derivative of f*v**2 + 0*v - 1 - 2/15*v**3. Determine n so that p(n) = 0.
0
Let f(i) be the first derivative of 2*i**3/21 - 2*i**2 + 14*i - 7. Factor f(v).
2*(v - 7)**2/7
Let y(n) = 4*n - 34. Let w be y(9). Let l(d) be the second derivative of 8/15*d**6 + 1/6*d**4 + 0*d**3 + d + 0 - 1/6*d**7 + 0*d**w - 11/20*d**5. Factor l(a).
-a**2*(a - 1)**2*(7*a - 2)
Let s(i) be the first derivative of -i**6/40 + i**5/10 - i**4/8 - 2*i**2 + 1. Let w(k) be the second derivative of s(k). Solve w(p) = 0.
0, 1
Let g(k) be the second derivative of k**5/10 - k**4/3 - k**3/3 + 2*k**2 + 22*k. Factor g(a).
2*(a - 2)*(a - 1)*(a + 1)
Factor 1/2*z**3 + 25/2 + 15/2*z - 9/2*z**2.
(z - 5)**2*(z + 1)/2
Suppose -2*j - 4 + 6 = 2*v, 5*v + 5 = 0. Suppose 0*w + 0*w**j + 0 - 1/2*w**3 = 0. What is w?
0
Factor 30*j**2 - 3*j - 42*j**5 - 99*j**3 + 100*j**4 + 20*j**4 - 9*j**5 + 3*j**5.
-3*j*(j - 1)**2*(4*j - 1)**2
Let n(y) be the first derivative of y**4/14 + 2*y**3/21 - 12. Factor n(b).
2*b**2*(b + 1)/7
Let n(d) = -74*d + 444. Let f be n(6). Suppose 0 = 3*s - m - 9, -3*m + 3 = 2*s - s. Find u such that f + 1/3*u**s + 1/3*u + 2/3*u**2 = 0.
-1, 0
Let t(y) = -2*y**2 + 3*y - 4. Let j(h) = h**3 - 11*h**2 + 10*h + 3. Let z be j(10). Let d(p) = 3*p**2 - 4*p + 5. Let w(r) = z*d(r) + 4*t(r). Factor w(c).
(c - 1)*(c + 1)
Factor -4*m**2 + 0*m**2 + 4*m**2 + 3*m**2.
3*m**2
Let z(a) = -a**4 + a**2 - a + 1. Let s(m) = 8*m**4 - 5*m**3 - 18*m**2 + 8*m + 7. Let c(f) = s(f) + 3*z(f). Factor c(k).
5*(k - 2)*(k - 1)*(k + 1)**2
Let z(v) = 4*v**2 + 13*v. Let b = 19 + -13. Let f(r) = 1 - 2*r**2 - 6*r - 1. Let y(n) = b*z(n) + 13*f(n). Factor y(o).
-2*o**2
Let g(f) be the second derivative of -3*f - 5/48*f**4 - 1/24*f**3 + 0 + 1/8*f**2 - 3/80*f**5. Let g(d) = 0. Calculate d.
-1, 1/3
Let t(x) = -x**4 + 4*x**3 + 5*x**2 + 4*x - 4. Let b(u) = u**3 + u**2 + u - 1. Let h(j) = 12*b(j) - 3*t(j). Determine f, given that h(f) = 0.
-1, 0, 1
Suppose -9/4*i**2 + 3 + 0*i - 3/4*i**3 = 0. Calculate i.
-2, 1
Factor -1/5*p**4 - 3/5 - 2/5*p + 2/5*p**3 + 4/5*p**2.
-(p - 3)*(p - 1)*(p + 1)**2/5
Let o(d) be the first derivative of -d**3/3 + 9*d - 63. Solve o(k) = 0.
-3, 3
Let s be (-25)/(-30) + 6/(-9). Let r(o) be the second derivative of -o**2 + 0 + 0*o**3 + 2*o + s*o**4. Factor r(u).
2*(u - 1)*(u + 1)
Let j(b) be the first derivative of -1/16*b**4 + 1/12*b**3 - 4 - 1/20*b**5 + 0*b + 1/8*b**2. What is r in j(r) = 0?
-1, 0, 1
Let f be 1 - (-88)/(-104) - (-4)/(-26). What is w in f*w + 4/7*w**3 + 0 - 2/7*w**2 - 2/7*w**4 = 0?
0, 1
Let u(b) be the third derivative of -b**6/900 + b**4/60 - b**3/3 - 3*b**2. Let z(r) be the first derivative of u(r). Factor z(n).
-2*(n - 1)*(n + 1)/5
Let j(d) be the first derivative of d**6/42 - d**4/4 + 2*d**3/21 + 6*d**2/7 - 8*d/7 - 12. Let j(f) = 0. Calculate f.
-2, 1, 2
Let c = 570 - 565. Suppose -2560/3*u - 2/3*u**c - 40/3*u**4 - 320/3*u**3 - 1280/3*u**2 - 2048/3 = 0. What is u?
-4
Let g = -276 + 1107/4. Suppose 3/4*y**2 - 3*y**3 - g + 3*y = 0. Calculate y.
-1, 1/4, 1
Let z(g) = -8*g**4 + 25*g**3 - 42*g**2 + 29*g - 11. Let k(b) = -4*b**4 + 12*b**3 - 21*b**2 + 15*b - 6. Let c(n) = -7*k(n) + 4*z(n). Solve c(w) = 0.
1/2, 1, 2
Let c(g) = -18*g**2 + 12*g - 8. Let j(o) be the first derivative of 12*o**3 - 12*o**2 + 15*o + 6. Let i(q) = -11*c(q) - 6*j(q). Solve i(w) = 0 for w.
1/3
Let m be ((-10)/15)/(4/(-42)). Let u(z) be the second derivative of -1/21*z**m - 1/3*z**3 - 1/3*z**4 + z**2 + 0 + z + 1/15*z**6 + 1/5*z**5. Factor u(q).
-2*(q - 1)**3*(q + 1)**2
Let f(r) = 12*r**2 + 12*r. Let k(d) = -3*d**2 - 3*d. Let h(t) = -2*f(t) - 9*k(t). Determine z so that h(z) = 0.
-1, 0
Let t(i) be the third derivative of i**6/1080 + i**5/180 + i**4/72 + i**3/6 - i**2. Let z(s) be the first derivative of t(s). Solve z(q) = 0 for q.
-1
Let l be ((-2)/315)/((-4)/24). Let t(h) be the second derivative of -1/14*h**5 + 0*h**3 + 1/42*h**4 + 0*h**2 + 0 + l*h**6 + h. Solve t(a) = 0 for a.
0, 1/4, 1
Suppose 4*f + 25 = 9*f. Factor f*s**2 - s**2 + 64 + 32*s + 4*s**2 - 4*s**2.
4*(s + 4)**2
Let u(k) be the second derivative of k**6/60 - k**5/20 + k**4/24 + 5*k. Factor u(c).
c**2*(c - 1)**2/2
Let z(i) be the second derivative of 2*i**6/165 - i**5/22 + 2*i**4/33 - i**3/33 + 23*i. Determine o so that z(o) = 0.
0, 1/2, 1
Factor k - 2/3 - 1/3*k**2.
-(k - 2)*(k - 1)/3
Let p(n) = 6*n**4 - 3*n**3 - 2*n**2 + 4*n. Let r(m) = -5*m**4 + 3*m**3 + m**2 - 3*m. Let b(c) = 4*p(c) + 5*r(c). Find d, given that b(d) = 0.
0, 1
Let r(t) be the third derivative of -t**5/20 + t**3/2 + 46*t**2. Solve r(o) = 0.
-1, 1
Suppose 15 = 4*q - 3*d, 4*d = 7*q - 10*q - 20. Let 3*z**3 + 7/2*z**5 - 4*z + q + 14*z**2 - 23/2*z**4 = 0. Calculate z.
-1, 0, 2/7, 2
Let d(n) be the second derivative of n**4/4 + n**3/2 - 3*n**2 + 5*n. Let d(m) = 0. What is m?
-2, 1
Let o(k) = 3*k**3 + 2*k**2 - 3*k. Suppose -p + 6*p - 35 = 0. Let h(y) = 10*y**3 + 7*y**2 - 10*y. Let r(s) = p*o(s) - 2*h(s). Factor r(g).
g*(g - 1)*(g + 1)
Let c(t) = -t**3 + t**2 + t + 1. Let f(y) = -24*y**3 + 28*y**2 + 6*y + 10. Let n(b) = -20*c(b) + 2*f(b). Solve n(g) = 0 for g.
0, 2/7, 1
Let k(x) = 3*x - 20. Let d be k(8). Solve -3/2*r**d + 3*r**3 - 3/2*r - 3/2 - 3/2*r**5 + 3*r**2 = 0.
-1, 1
Let n(c) be the first derivative of 1/14*c**4 + 8/21*c**3 + 0*c +