cond derivative of 5*k**7/42 - k**6/2 + k**5/4 + 5*k**4/4 - 5*k**3/3 + 25*k. Suppose g(p) = 0. Calculate p.
-1, 0, 1, 2
Let l(t) = 4*t**2 - 6*t - 3. Let v(m) be the first derivative of -m**3/3 + m**2 + m + 3. Let c(s) = -2*l(s) - 7*v(s). Suppose c(b) = 0. What is b?
-1
Let b(g) be the second derivative of -2*g - 1/2*g**3 + 0*g**2 + 1/4*g**4 + 0. Solve b(v) = 0.
0, 1
Let q(h) be the third derivative of h**8/252 - 2*h**6/45 - h**2. Determine u, given that q(u) = 0.
-2, 0, 2
Let g(y) be the first derivative of -3/16*y**4 - 1/4*y**3 + 5 + 0*y - 1/20*y**5 - 1/8*y**2. Solve g(s) = 0 for s.
-1, 0
Suppose 4*x - 6 = 10. What is a in -4*a**5 + 5*a**5 + 3*a**x + a**2 + 0*a**3 + 3*a**3 = 0?
-1, 0
Suppose 2*a + 4*l - 16 = 0, 2*l - 3 = 5*a - 19. Factor -4*h**5 - 9*h**3 + h**5 + 22*h**2 - 19*h**2 + 0*h**5 + 9*h**a.
-3*h**2*(h - 1)**3
Let x = -1766/5 - -355. Factor -3/5*u**3 + 0 + x*u**2 - 6/5*u.
-3*u*(u - 2)*(u - 1)/5
Let l(v) be the second derivative of 2*v**6/45 + v**5/3 + 17*v**4/36 + 2*v**3/9 - 19*v. Suppose l(k) = 0. Calculate k.
-4, -1/2, 0
Let y(t) be the third derivative of t**6/40 - 3*t**5/20 + 3*t**4/8 - t**3/2 - 7*t**2. Let y(m) = 0. What is m?
1
Let m(c) be the third derivative of c**6/1620 - c**5/270 + c**3/6 + 4*c**2. Let d(z) be the first derivative of m(z). Factor d(r).
2*r*(r - 2)/9
Suppose -f + 3*i - 7 = 0, -5*f - 9*i + 4*i + 25 = 0. Factor -1/5*v**f + 0 + 1/5*v.
-v*(v - 1)/5
Factor 0 - 2/3*i**2 - 20/3*i.
-2*i*(i + 10)/3
Let y be (5 - 3)*(-9)/(-2). Let x be (15/y)/(4 + -3). Factor -2/3*f**3 - 4/3*f + 1/3 + x*f**2.
-(f - 1)**2*(2*f - 1)/3
Let p(i) be the first derivative of -7*i**6/4 - 17*i**5/5 + 41*i**4/8 + 7*i**3 - 5*i**2 - 4*i + 47. Find b, given that p(b) = 0.
-2, -1, -2/7, 2/3, 1
Let u(n) = n**2 + 6*n. Let c be u(-6). Let o(m) be the second derivative of -m + c*m**4 + 0*m**3 + 0*m**2 + 1/70*m**5 + 1/105*m**6 + 0. Factor o(z).
2*z**3*(z + 1)/7
Factor 0*f**2 + 0 + 1/5*f**4 + 0*f - 2/5*f**3.
f**3*(f - 2)/5
Let h = 153 - 153. Factor h - 9/5*t**3 - 3/5*t**4 + 3*t**2 - 6/5*t + 3/5*t**5.
3*t*(t - 1)**3*(t + 2)/5
Let r(t) = 7*t**2 - 1. Suppose 3*u - 8 = 4*f + 1, 3*u + 15 = 0. Let n(b) = -8*b**2 + 1. Let p(l) = f*n(l) - 7*r(l). Let p(c) = 0. What is c?
-1, 1
Determine l, given that -1/7*l**2 - 2/7*l - 1/7 = 0.
-1
Let o(h) = h + 2. Let b be o(10). Let k = b - 8. Determine c so that 0*c - 2/3*c**3 + 0*c**2 - 2/3*c**5 + 0 - 4/3*c**k = 0.
-1, 0
Let a be 370/(-925) - (-4 + -1 + 1). Let 2/15 + 6/5*z + a*z**2 + 18/5*z**3 = 0. What is z?
-1/3
Suppose -2*t = -4*z + 10, t - 6 = -z - 11. Factor -2/5 + z*f + 2/5*f**2.
2*(f - 1)*(f + 1)/5
Let f(t) be the first derivative of 5*t**6/24 + t**5 + 15*t**4/8 + 5*t**3/3 + 5*t**2/8 + 20. Suppose f(o) = 0. What is o?
-1, 0
Let y(o) = -2*o + 12. Let d be y(6). Let i(w) be the third derivative of 0 + 1/42*w**4 + d*w - 1/21*w**3 - 3*w**2 - 1/210*w**5. Solve i(m) = 0 for m.
1
Let v(w) be the third derivative of w**7/630 - w**6/360 - w**5/180 + w**4/72 - 11*w**2. Factor v(o).
o*(o - 1)**2*(o + 1)/3
Let w = 13 - 25. Let u be 4*-2*(-3)/w. Let d(g) = -g**4 + g**2 + g - 1. Let r(i) = i**5 - 4*i**4 + 4*i**2 + i - 2. Let x(c) = u*d(c) + r(c). Factor x(q).
q*(q - 1)**3*(q + 1)
Suppose 0 = 5*x - 2 - 8. Suppose -3*h - n + 8 = 0, -x*h + 2*n - 4*n = 0. Find q such that q - q**3 - q**h + 3*q**2 + 4*q**3 - q**4 + 3*q**4 = 0.
-1, 0
Let a(p) be the second derivative of 0*p**2 - 1/14*p**7 + 0*p**4 + 2*p + 0*p**3 + 3/10*p**5 - 1/10*p**6 + 0. Solve a(q) = 0.
-2, 0, 1
Let n = -163 - -166. Let b(w) be the third derivative of 3*w**2 - 1/40*w**6 + 0*w + 0 - 1/20*w**5 + 1/8*w**4 + 1/2*w**n. Solve b(t) = 0.
-1, 1
Let r(p) = -p**4 + p**3 - p**2 + p + 1. Let k(f) = -15*f**4 - 51*f**3 - 41*f**2 - 19*f - 5. Let l(i) = -k(i) - 3*r(i). Factor l(q).
2*(q + 1)**2*(3*q + 1)**2
Let q(p) be the third derivative of 2/105*p**7 + 0*p + 0*p**3 + 0 - 1/24*p**6 + p**2 + 1/60*p**5 + 0*p**4. Find m, given that q(m) = 0.
0, 1/4, 1
Suppose -w = 2*y, w - 3*w + 1 = 3*y. Let n = 66 - 66. Factor 0*z + n + 1/3*z**w - 1/3*z**3.
-z**2*(z - 1)/3
Let g(v) = 4*v - 2. Let b be g(6). Let t be b/10 + 2 - 3. Suppose 0*u**2 - 4/5 - t*u + 2/5*u**3 = 0. What is u?
-1, 2
Let l be (8/(-6))/(2/(-3)). Suppose -3*j + 15 = 5*s - 7, -4 = -4*s + j. Determine u so that -s*u**l + 5 + 1 - 4 = 0.
-1, 1
Factor -7*o + 0*o - 36*o**3 + 16*o**4 + 3*o + 24*o**2.
4*o*(o - 1)**2*(4*o - 1)
Let t be (-401)/(-10) + (-7)/(-14). Let v = 41 - t. Let 0 + 0*d**2 - v*d**5 - 2/5*d + 4/5*d**3 + 0*d**4 = 0. What is d?
-1, 0, 1
Let u(f) = -f**2 - 19*f - 14. Let s(i) = -2*i**2 - 18*i - 13. Let a(j) = -4*s(j) + 3*u(j). Factor a(d).
5*(d + 1)*(d + 2)
Let t(b) be the second derivative of b**7/35 - 7*b**6/25 + 3*b**5/5 + 9*b**4/5 - 27*b**3/5 - 81*b**2/5 + 52*b. Solve t(g) = 0.
-1, 3
Let k be (-6 + (-187)/(-22))/(5/4). Solve 0 + 1/4*c**k + 1/2*c = 0 for c.
-2, 0
Suppose 15*q**2 + 3*q**3 - 6*q**3 + 2*q**3 - 11*q**2 = 0. What is q?
0, 4
Factor 0*b**3 - b**3 - 7*b**3 - 3*b**5 + 9*b**3 - 2*b**4.
-b**3*(b + 1)*(3*b - 1)
Let x(b) = -b**3 + 4*b**2 + 8*b - 4. Let k be x(5). Suppose -2*j = 3*u - k, -3*j + 8*j - 2 = u. Solve -1 - 11/4*d**2 + 5*d - 35/4*d**u = 0 for d.
-1, 2/7, 2/5
Suppose -18*d = -5*d. Find u such that 2/3*u + 4*u**4 + d*u**2 + 0 - 14/3*u**3 = 0.
-1/3, 0, 1/2, 1
Let i = -388 + 777/2. Let 1/4 + 1/4*b**2 - i*b = 0. What is b?
1
Let v(c) be the second derivative of c**4/9 - 2*c**3/9 - 4*c**2/3 + 6*c. Factor v(t).
4*(t - 2)*(t + 1)/3
Let m(x) be the first derivative of -5 + 1/2*x**4 - 2/3*x**3 - 6*x - 5*x**2. Factor m(a).
2*(a - 3)*(a + 1)**2
Suppose 0*t - 2 = -2*t. Let f = t + 1. Factor -n + 0 + n**3 - n**2 + 2*n**f + 1 - 2*n**2.
(n - 1)**2*(n + 1)
Find h such that -1/9*h**2 - 4/9*h - 4/9 = 0.
-2
Determine x so that 0*x**2 + 6/5*x - 2/5*x**3 - 4/5 = 0.
-2, 1
Let t(b) = 6*b**4 + 25*b**3 + 18*b**2 + 13*b. Let k(x) = -4*x**4 - 17*x**3 - 12*x**2 - 9*x. Let n(f) = -7*k(f) - 5*t(f). Factor n(c).
-2*c*(c + 1)**3
Let m(p) be the first derivative of 0*p - 4/65*p**5 + 4/39*p**3 + 0*p**4 - 1/39*p**6 + 1/13*p**2 - 4. Suppose m(y) = 0. What is y?
-1, 0, 1
Let r(j) be the third derivative of -j**6/120 + j**4/24 + 9*j**2. Factor r(z).
-z*(z - 1)*(z + 1)
Let m = -942 + 944. Factor i**m + 0 + 0*i - 1/3*i**3.
-i**2*(i - 3)/3
Solve -19 - 84*d + 36*d**2 + 4*d**3 + 68 - 5 = 0 for d.
-11, 1
Let t(n) be the third derivative of n**5/150 - n**4/30 + n**3/15 + 2*n**2. Suppose t(y) = 0. Calculate y.
1
Suppose 3*g = 4 + 5. Factor 0*p**4 - 1/4*p + 1/2*p**g - 1/4*p**5 + 0 + 0*p**2.
-p*(p - 1)**2*(p + 1)**2/4
Factor 12*s**2 + 46*s + 16*s**3 + 51*s**2 - 2*s - 11*s**2 + 8.
4*(s + 1)*(s + 2)*(4*s + 1)
Let x(b) = -b**2 + 17*b - 1. Let z(q) = 9*q. Let y(l) = -3*x(l) + 5*z(l). What is g in y(g) = 0?
1
Let 2/3*y**5 - 20/9*y**2 + 16/9*y**4 + 0*y**3 + 4/9 - 2/3*y = 0. Calculate y.
-2, -1, 1/3, 1
Suppose 0 = 2*y - g - 4, 0 = -4*y - y - 4*g + 23. Let r(m) be the third derivative of 1/10*m**5 - m**2 + 1/6*m**4 + 0 + 0*m**y + 0*m. Let r(v) = 0. What is v?
-2/3, 0
Suppose -2/3*o + 1/6*o**3 - 1/6*o**2 + 2/3 = 0. What is o?
-2, 1, 2
Factor -3*y**3 - 21/5*y + 6/5 + 3/5*y**4 + 27/5*y**2.
3*(y - 2)*(y - 1)**3/5
Let o(w) be the third derivative of 57*w**6/40 - 8*w**5/5 - 23*w**4/8 - w**3 + 42*w**2. Find f such that o(f) = 0.
-1/3, -2/19, 1
Let u(t) be the third derivative of 0 + 0*t + 1/60*t**5 + 1/120*t**6 + 6*t**2 - 5/24*t**4 + 1/2*t**3. Factor u(a).
(a - 1)**2*(a + 3)
Let h = -1347 - -1350. Let 1/2*r**4 + 0*r**2 + r - 1/2 - r**h = 0. What is r?
-1, 1
Let z(h) be the second derivative of h**6/180 - h**5/30 - h**4/4 + 7*h**3/6 + 5*h. Let c(j) be the second derivative of z(j). Find u such that c(u) = 0.
-1, 3
Let w(n) be the first derivative of -n**5/5 + 5*n**4/4 - 3*n**3 + 7*n**2/2 - 2*n + 4. Factor w(g).
-(g - 2)*(g - 1)**3
Let a = 3 + -1. Let m = -2 + 9/4. Factor 0 + 1/2*f**4 + 0*f**3 - 1/2*f**a - m*f + 1/4*f**5.
f*(f - 1)*(f + 1)**3/4
Let o(i) be the first derivative of -i**3/7 - 9*i**2/7 - 27*i/7 - 35. Factor o(k).
-3*(k + 3)**2/7
Let s(y) be the first derivative of -y**6/18 + y**5/3 - y**4/2 - 4*y**3/9 + 4*y**2/3 + 2. Let s(c) = 0. What is c?
-1, 0, 2
Let u be (6/(-45))/(12/(-15)). Let y(t) be the first derivative of -10/9*t**3 - 2 - 8/3*t + u*t**4 + 8/3*t**2. Factor y(c).
2*(c - 2)**2*(c - 1)/3
Let z(a) = 4*a**5 + 4*a**4 - 3*a**3 + 2*a**2 - 6*a + 4. Let 