/5*y**4 + 2/5*y**3 - k*y**2 = 0. Calculate y.
-1, 2
Let h(r) = -r**3 - r**2 + r + 1. Let t = 11 + -1. Let c(q) = -3*q**3 - 7*q**2 + 5*q + 5. Let n(p) = t*h(p) - 2*c(p). Find g such that n(g) = 0.
0, 1
Suppose -2 + 23 = 3*s. Let z(a) be the second derivative of -1/21*a**s - 1/10*a**5 + 0 + 0*a**4 + a - 2/15*a**6 + 0*a**2 + 0*a**3. Determine l so that z(l) = 0.
-1, 0
Let j be 0 - 2/16 - (-108)/352. Determine q so that -j - 32/11*q**3 - 16/11*q - 36/11*q**2 - 10/11*q**4 = 0.
-1, -1/5
Let s = 398 - 398. Factor 2/5*v**3 - v**4 + 0*v**2 + 0 + s*v.
-v**3*(5*v - 2)/5
Let b(l) be the third derivative of -5*l**8/336 - l**7/14 - l**6/24 + l**5/4 + 5*l**4/12 - 44*l**2. Find k, given that b(k) = 0.
-2, -1, 0, 1
Let x(u) = 7*u + 73. Let w be x(-10). Find d such that 0*d**2 + 0*d - 2/7*d**4 - 2/7*d**w + 0 = 0.
-1, 0
Let 0 - 2*i**3 - 1/4*i - 5/4*i**2 - i**4 = 0. What is i?
-1, -1/2, 0
Let n = -11 + 12. Let t(q) be the first derivative of -n + 0*q**2 - 1/14*q**4 + 0*q + 0*q**3. What is f in t(f) = 0?
0
Factor 0*i + 8/13 - 6/13*i**2 + 2/13*i**3.
2*(i - 2)**2*(i + 1)/13
Let g(c) be the third derivative of -c**8/1344 - c**7/280 + c**6/240 + c**5/20 + c**4/12 + 16*c**2. Find h such that g(h) = 0.
-2, -1, 0, 2
Suppose 0*d + 32 = 4*d. Suppose -3*t - 7 = 4*a, a + d = 4*t + 2*a. Factor 3 + 0*k**4 - 4*k**t + 6*k**2 + 8*k - 11 - 2*k**4.
-2*(k - 1)**2*(k + 2)**2
Let f(n) be the first derivative of -1/2*n**2 + 5 - 1/2*n**4 + n**3 + 0*n. Factor f(c).
-c*(c - 1)*(2*c - 1)
Let x(b) be the third derivative of b**7/840 - 11*b**5/240 - 3*b**4/16 - b**3/3 + 39*b**2. Factor x(k).
(k - 4)*(k + 1)**2*(k + 2)/4
Let j = 78 - 232/3. Let i(h) be the first derivative of 2 + 1/9*h**3 + 4/3*h + j*h**2. Let i(z) = 0. What is z?
-2
Let h(t) be the first derivative of -1 + t**2 + 1/30*t**5 + 0*t + 0*t**3 + 1/12*t**4. Let w(x) be the second derivative of h(x). Factor w(k).
2*k*(k + 1)
Let k(u) be the second derivative of 0*u**2 + 1/5*u**5 + 5*u - 1/6*u**4 + 0 + 1/15*u**6 - 2/3*u**3. Solve k(d) = 0 for d.
-2, -1, 0, 1
Let k(j) = 53*j**2 + 63*j + 18. Let y(b) = 105*b**2 + 125*b + 36. Let o(a) = 5*k(a) - 3*y(a). Factor o(f).
-2*(5*f + 3)**2
Let b = -1 + 7. Let c = -3 + b. Factor -c*o**4 + o**4 + 2*o**2 + 0*o**2.
-2*o**2*(o - 1)*(o + 1)
Let o(p) be the third derivative of -4*p**2 - 1/36*p**4 + 1/18*p**5 + 0 + 0*p - 1/9*p**3 - 1/60*p**6. Factor o(k).
-2*(k - 1)**2*(3*k + 1)/3
Let b(y) be the first derivative of y**7/56 - y**6/30 - y**5/40 - 2*y**3 - 5. Let o(u) be the third derivative of b(u). Factor o(w).
3*w*(w - 1)*(5*w + 1)
Let i(o) = 7*o**3 - 4*o**2 + 6. Let d(u) = 15*u**3 - 9*u**2 + 13. Let b(j) = 6*d(j) - 13*i(j). Suppose b(g) = 0. Calculate g.
-2, 0
Let b(x) be the first derivative of -1/6*x**3 + 1/2*x**2 - 1/60*x**5 + 1/12*x**4 + 0*x + 2. Let w(h) be the second derivative of b(h). Factor w(c).
-(c - 1)**2
Let t(i) be the third derivative of i**7/315 - i**6/90 - 10*i**2. Factor t(r).
2*r**3*(r - 2)/3
Let n be (-1)/2 + 2/4. Factor -4*u**3 + 4*u - 1 - 1 + n*u + 2*u**4.
2*(u - 1)**3*(u + 1)
Let c(o) = -4 + o**3 - 9*o - 4*o**2 - 2*o**2 + o**2 + 3*o. Let k(p) = 4*p**3 - 15*p**2 - 17*p - 12. Let u(b) = 21*c(b) - 6*k(b). Factor u(x).
-3*(x + 1)*(x + 2)**2
Let a(v) be the third derivative of -v**8/630 - 4*v**7/1575 - v**6/900 - 22*v**2. Let a(l) = 0. What is l?
-1/2, 0
Suppose -4*p - 2 = 3*d, 2*d - 10 = -d + 2*p. Let -3 - f**4 + 3 + f**d = 0. Calculate f.
-1, 0, 1
Let g(k) = k**2 + k. Let d(i) = -3*i**2 - 2*i + 2. Let j = 1 + 1. Let h(b) = j*d(b) + 18*g(b). Let h(r) = 0. What is r?
-2/3, -1/2
Let d(y) = -21*y**4 + 36*y**3 + 7*y**2 + 5*y - 5. Let p(m) = 21*m**4 - 36*m**3 - 6*m**2 - 6*m + 6. Let i(v) = -6*d(v) - 5*p(v). Let i(a) = 0. Calculate a.
-2/7, 0, 2
Let o be (-301)/(-258) - ((-8)/6)/(-2). Suppose -1/2*b**3 - 1/2*b**4 + 1/2*b**5 + 0*b + o*b**2 + 0 = 0. What is b?
-1, 0, 1
Let q(i) be the third derivative of 1/3*i**3 + i**2 + 1/105*i**7 + 0 + 0*i + 0*i**4 + 0*i**6 - 1/15*i**5. Find m such that q(m) = 0.
-1, 1
Let h(g) be the first derivative of 0*g + 2 + 3/2*g**2 + 5/72*g**4 + 1/360*g**6 + 1/45*g**5 + 1/9*g**3. Let k(j) be the second derivative of h(j). Factor k(s).
(s + 1)**2*(s + 2)/3
Let h(q) be the third derivative of q**7/1470 - q**6/840 - q**5/70 + q**4/42 + 4*q**3/21 - 7*q**2. Let h(w) = 0. What is w?
-2, -1, 2
Suppose -6*d = -7*d + 3*r - 9, -3*d + 1 = -2*r. Factor 6/5*j**2 + 3/5*j**d - 3/5*j - 6/5.
3*(j - 1)*(j + 1)*(j + 2)/5
Let w(s) be the second derivative of s**4/54 - s**3/9 + 2*s**2/9 - 5*s. Solve w(k) = 0.
1, 2
Let 4/3*n + 2/3*n**2 - 2 = 0. What is n?
-3, 1
Suppose -2/3*v**3 - 8/3 + 8/3*v + 2/3*v**2 = 0. What is v?
-2, 1, 2
Let z(n) be the third derivative of -1/840*n**7 + 0 + 0*n + 0*n**6 + 0*n**3 + 0*n**5 + 0*n**4 - n**2. Solve z(s) = 0 for s.
0
Suppose 8/15*y + 2/5*y**2 - 8/15*y**3 - 8/15 + 2/15*y**4 = 0. Calculate y.
-1, 1, 2
Let b(g) = 0 + 1 - 2*g - 3. Let v be b(-2). Let 2*r + r**2 - 5*r**v + 2*r**2 = 0. What is r?
0, 1
Let j = -8 + 8. Suppose j = -0*d + d. Factor 0*q**3 + 0*q**2 + d*q + 0 - 1/4*q**4.
-q**4/4
Let k(g) be the first derivative of g**7/2940 - g**6/630 - g**5/420 + g**4/42 + g**3 - 3. Let u(z) be the third derivative of k(z). Factor u(p).
2*(p - 2)*(p - 1)*(p + 1)/7
Factor 1/4*i + 0 - 1/8*i**3 - 1/8*i**2.
-i*(i - 1)*(i + 2)/8
Let b(g) be the second derivative of 1/2*g**2 + 0 - 1/3*g**3 - 4*g + 1/12*g**4. Factor b(h).
(h - 1)**2
Suppose -2*v = -v + 9*v. Let d(k) be the third derivative of 1/12*k**3 + 1/48*k**4 - 3*k**2 + v*k + 1/210*k**7 + 0 - 1/40*k**5 - 1/240*k**6. Factor d(a).
(a - 1)**2*(a + 1)*(2*a + 1)/2
Let o(s) = s + 1. Let u(q) be the second derivative of q**4/6 - q**2 - 2*q. Let i be 3 - 2*(-2)/4. Let t(l) = i*o(l) + u(l). Find a such that t(a) = 0.
-1
Suppose 32*a - 4 = 31*a. Let b(l) be the second derivative of 1/70*l**5 - 1/7*l**2 + 1/42*l**4 - a*l - 1/21*l**3 + 0. Factor b(i).
2*(i - 1)*(i + 1)**2/7
Factor 1/4*v - 1/4*v**2 + 0.
-v*(v - 1)/4
Let x(d) = -40*d**2 + 20*d + 3. Let u(i) = 14*i**2 - 7*i - 1. Let z(w) = 17*u(w) + 6*x(w). Suppose z(a) = 0. What is a?
-1/2, 1
Let t(m) = m**3 + 5*m**2 - 2*m - 7. Let r be t(-5). Determine n, given that -27*n**r + 7*n**5 - n - 2*n**2 + 5*n + 17*n**3 - n**5 + 2*n**4 = 0.
-1, 0, 2/3, 1
Determine f so that 14*f**2 + 11*f**2 + 6*f - 4 + 9 - 24*f**2 = 0.
-5, -1
Let n(q) be the first derivative of -1/3*q**3 - 3 - q**2 - q. Let n(r) = 0. What is r?
-1
Let -1/2*g**2 + g + 0 = 0. Calculate g.
0, 2
Let i = -1753/13 + 135. Factor -2/13*k**4 + 0 + 0*k**3 + i*k**2 + 0*k.
-2*k**2*(k - 1)*(k + 1)/13
Let j(c) be the first derivative of 2*c**5/15 + c**4/3 + 2*c**3/9 - 19. Let j(a) = 0. What is a?
-1, 0
Let i(l) be the second derivative of l**5/300 - l**4/40 + l**3/15 - l**2 - 4*l. Let g(y) be the first derivative of i(y). Determine b, given that g(b) = 0.
1, 2
Let o(m) = -11*m**3 - m**2 + 5*m - 2. Let l(n) be the second derivative of -n**5/2 + n**3 - n**2 - 8*n. Let u(v) = 6*l(v) - 4*o(v). Solve u(z) = 0 for z.
-1, 1/4, 1
Suppose 6*s + 3*s**4 - 46 - 12*s**2 + 30 - 6*s**3 + 25 = 0. What is s?
-1, 1, 3
Let c = -402 + 402. Let 5/2*b**2 - b + c = 0. Calculate b.
0, 2/5
Let u(q) be the first derivative of 1 + 0*q**4 + 1/5*q**5 + 0*q**3 + 0*q**2 + 1/5*q**6 + q. Let o(f) be the first derivative of u(f). Factor o(h).
2*h**3*(3*h + 2)
Let q(w) be the third derivative of -11*w**8/84 + 26*w**7/105 + 3*w**6/10 - 13*w**5/15 + w**4/3 - 12*w**2. Suppose q(u) = 0. What is u?
-1, 0, 2/11, 1
Suppose 3*z - 2 = -8, z + 44 = 3*q. Find r such that -16 - 4 + 21*r**3 + 36*r**2 + 2*r + 7*r + q = 0.
-1, 2/7
Let k = 2 - 1. Let m(w) = 5*w**4 - 9*w**3 + 7*w**2 - 3*w - 3. Let z(x) = x**4 - x**3 + x**2 - x - 1. Let r(l) = k*m(l) - 3*z(l). Factor r(a).
2*a**2*(a - 2)*(a - 1)
Let h = -4 + 8. Let g = -13 + 15. Let 0 - 2/3*x**h + 2/3*x**g + 2/9*x - 10/9*x**3 + 8/9*x**5 = 0. What is x?
-1, -1/4, 0, 1
Let n(b) be the second derivative of -b**5/135 + b**4/108 + b**3/27 + b**2 + b. Let s(v) be the first derivative of n(v). Suppose s(p) = 0. Calculate p.
-1/2, 1
Factor -3/4 + v - 1/4*v**2.
-(v - 3)*(v - 1)/4
Let b(g) be the third derivative of -g**5/210 + g**4/21 - g**3/7 - 4*g**2. Suppose b(h) = 0. Calculate h.
1, 3
Find b, given that -2*b**2 + 1/3*b**5 + 0 + 11/3*b**3 - 2*b**4 + 0*b = 0.
0, 1, 2, 3
Factor 6/5*g**3 - 3/5 - 6/5*g + 3/5*g**2.
3*(g - 1)*(g + 1)*(2