t derivative of -5/3*l**3 - 5/2*l**2 + 7 + 0*l. Find v, given that a(v) = 0.
-1, 0
Let g be 1/16 + (-30429)/(-2352). Let i(f) be the second derivative of 3/20*f**5 + g*f - 27/2*f**2 + 3/2*f**3 + 5/4*f**4 + 0. Factor i(o).
3*(o - 1)*(o + 3)**2
Let y(b) be the third derivative of 1/240*b**5 + 0*b**3 + 0*b + 0*b**4 + 1/160*b**6 + 0 + 1/1344*b**8 - 7*b**2 + 1/280*b**7. Suppose y(w) = 0. What is w?
-1, 0
Let r(l) = -3*l**3 + 38*l**2 - 82*l + 20. Let x be r(10). Factor 0 + x*g + g**2 - 1/2*g**3.
-g**2*(g - 2)/2
Let t(r) be the first derivative of r**4/30 + 8*r**3/15 + 7*r**2/5 - 56*r + 20. Let n(w) be the first derivative of t(w). Determine k so that n(k) = 0.
-7, -1
Let s(k) be the second derivative of -2*k - 1/2*k**3 + 0 + 1/4*k**4 - 1/20*k**5 - 3*k**2. Let a(q) be the first derivative of s(q). Solve a(b) = 0.
1
Let i(y) be the first derivative of y**6/15 + 3*y**5/10 - 4*y**3/3 - 19*y - 2. Let l(h) be the first derivative of i(h). Solve l(k) = 0 for k.
-2, 0, 1
Let y(v) be the second derivative of 0*v**3 - 1/70*v**5 + 0*v**2 - 1/21*v**4 - 3*v + 0. Let y(c) = 0. What is c?
-2, 0
Let p(u) be the third derivative of 0*u + 3/40*u**6 - 19*u**2 + 0 - 9/4*u**3 - 3/5*u**5 + 13/8*u**4 + 1/140*u**7. Factor p(h).
3*(h - 1)**3*(h + 9)/2
Let v(w) be the third derivative of w**7/420 - w**6/36 + 2*w**5/15 - w**4/3 - w**3/3 + 20*w**2. Let x(t) be the first derivative of v(t). Factor x(c).
2*(c - 2)**2*(c - 1)
Let h(c) = 2*c - 1. Let n(x) = 2*x**2 - 18*x + 3. Let w(u) = 6*h(u) + 2*n(u). Solve w(v) = 0.
0, 6
Let o be (-2)/(-3) + 9/(-15). Let k(d) be the first derivative of 1/10*d**4 + 2/25*d**5 + 0*d - o*d**6 + 0*d**2 + 4 - 2/15*d**3. Solve k(c) = 0 for c.
-1, 0, 1
Let w be 2 - (-3)/(-12)*(9 - 1). Let i(g) be the first derivative of 2 + w*g + 0*g**2 + 1/2*g**4 - 2/3*g**3. What is c in i(c) = 0?
0, 1
Let m be 7/(-21)*126/28 - 23/(-14). Suppose 5/7*f**3 + m*f + 0 - 6/7*f**2 = 0. What is f?
0, 1/5, 1
Let y(u) be the first derivative of -u**8/480 + 3*u**7/560 - u**6/360 + 32*u**3/3 - 10. Let r(c) be the third derivative of y(c). Find p, given that r(p) = 0.
0, 2/7, 1
Let s = -5107 - -5110. Factor 2/11*h**2 + 0 - 4/11*h + 2/11*h**s.
2*h*(h - 1)*(h + 2)/11
Let o(w) be the first derivative of w**5/15 - w**4/3 + 25*w**2/2 + 12. Let r(l) be the second derivative of o(l). Determine t, given that r(t) = 0.
0, 2
Let n(d) be the second derivative of 0 + 3/80*d**5 + 1/4*d**2 - 1/48*d**4 + 3*d - 1/120*d**6 - 1/8*d**3. Factor n(f).
-(f - 2)*(f - 1)**2*(f + 1)/4
Let p(h) = -14 + 7 + h**2 + h + 8 + 0*h. Let v = 18 + -19. Let w(k) = 3*k**2 + 4*k + 3. Let j(s) = v*w(s) + 2*p(s). Solve j(a) = 0.
-1
Suppose -4*d - 75 = -b + 143, -4*d = -3*b + 214. Let o be (-15)/d*((-8)/(-3))/4. Let 4/11 - o*l - 2/11*l**2 = 0. What is l?
-2, 1
Let m(w) be the first derivative of w**5/25 + 7*w**4/20 + 3*w**3/5 - 7*w**2/10 - 2*w + 265. Suppose m(h) = 0. What is h?
-5, -2, -1, 1
Let 4/7*a**3 + 0*a - 4/7*a**5 + 0 + 4*a**2 - 4*a**4 = 0. Calculate a.
-7, -1, 0, 1
Let k be 11*2 - (-14362)/(-668). Factor k*m**2 - 1/2 + 0*m.
(m - 1)*(m + 1)/2
Let t(o) = -o**5 + 4*o**4 + 23*o**3 + 15*o**2 - 3*o - 6. Let a(s) = s**5 + s**3 + s**2 - s - 2. Let c(f) = -3*a(f) + t(f). What is d in c(d) = 0?
-1, 0, 3
Let c = 2579 - 5153/2. Factor -5/2*q**3 + 0*q + c*q**2 - 5/2*q**4 + 5/2*q**5 + 0.
5*q**2*(q - 1)**2*(q + 1)/2
Let m be (-15)/6*(-84)/30. Let y(v) = -51 - 9*v**2 + 53 + 7*v - 4*v**2 - m*v**2. Let b(q) = 7*q**2 - 2*q - 1. Let k(j) = -11*b(j) - 4*y(j). Factor k(x).
3*(x - 1)**2
Find n such that -3/7*n**2 + 9/7*n - 6/7 = 0.
1, 2
Let c(v) be the third derivative of 3/140*v**6 - 9/70*v**5 + 0*v + 0*v**3 - 1/735*v**7 + 9/28*v**4 + 4*v**2 + 0. Factor c(n).
-2*n*(n - 3)**3/7
Let o be (28 - -2)/(-6) + 9. Let i(q) be the first derivative of -3/2*q**o + 11 + 2/5*q**5 + 0*q**2 + 0*q + 4/3*q**3. Let i(x) = 0. Calculate x.
0, 1, 2
Determine m so that -27*m**2 + 0*m - 21*m**3 + 17/3*m**4 - 1/3*m**5 + 0 = 0.
-1, 0, 9
Let d(l) be the second derivative of -1/36*l**6 + 0 + 7/120*l**5 + 0*l**2 + 1/9*l**4 + 7*l - 1/9*l**3. Factor d(y).
-y*(y - 2)*(y + 1)*(5*y - 2)/6
Let -270*z**4 + 24/5 + 72*z**3 - 72*z + 1326/5*z**2 = 0. What is z?
-1, 2/15, 1
Let h be (-13)/(-39) + (30/18 - -1). Suppose -4/5*d**2 - 2/5*d + 2/5*d**h + 4/5 = 0. What is d?
-1, 1, 2
Suppose -4*l - 139 = -4*s + 5, -4*s = -2*l - 152. Determine z, given that -s - 9*z + 450*z**2 + 25*z**3 - 310*z**4 - 9*z + 2*z - 105*z**5 - 4*z = 0.
-2, -2/7, 1/3, 1
Let j(d) be the first derivative of -d**6/3 - d**5/10 + 9*d**4/2 + 25*d**3/6 - 11*d**2 - 6*d + 44. Suppose j(m) = 0. Calculate m.
-2, -1/4, 1, 3
Let p(r) be the third derivative of 5*r**8/1092 - r**7/105 - 2*r**6/195 + 7*r**5/195 - r**4/78 - r**3/39 + 77*r**2. Find f, given that p(f) = 0.
-1, -1/5, 1/2, 1
Let c(a) = -a**2 + 1. Suppose -4*z + 0 = -8. Suppose -3 = -z*d - 1. Let b(p) = 7*p**2 - 7. Let g(u) = d*b(u) + 5*c(u). Factor g(y).
2*(y - 1)*(y + 1)
Suppose 0 = -4*j - 4*b + 8 + 12, -2*b = -3*j + 5. Suppose -2*r + 671 + 337 = -4*k, r + 2*k = 488. Factor -r*l**2 + 506*l**2 - 9*l + 5*l**j - 6*l.
5*l*(l - 1)*(l + 3)
Factor -3/5*u - 9/5*u**2 - 1/5*u**3 + 3/5*u**4 + 2/5.
(u - 2)*(u + 1)**2*(3*u - 1)/5
Let s(i) be the third derivative of -i**9/5040 + 11*i**8/20160 - i**7/3780 - 11*i**4/24 + 16*i**2. Let b(x) be the second derivative of s(x). Factor b(d).
-d**2*(d - 1)*(9*d - 2)/3
Let x(c) be the second derivative of 22*c - 3/4*c**4 + 0*c**3 + 3/20*c**5 + 6*c**2 + 0. Factor x(i).
3*(i - 2)**2*(i + 1)
Let n(w) = -9*w**5 + 24*w**4 + 8*w**3 - 6*w**2 - 2*w. Let a(c) = 46*c**5 - 119*c**4 - 40*c**3 + 33*c**2 + 11*c. Let f(h) = -2*a(h) - 11*n(h). Factor f(j).
j**3*(j - 4)*(7*j + 2)
Let f = -38 + 42. Suppose -4*q**2 + 4*q**2 - 8*q - 122*q**3 + 130*q**3 + 4*q**f - 4*q**2 = 0. Calculate q.
-2, -1, 0, 1
Let q = -6698/7 + 957. Let f(r) be the second derivative of -q*r**2 + 0 - 2/21*r**3 - 1/42*r**4 + 2*r. Factor f(k).
-2*(k + 1)**2/7
Let g(n) be the second derivative of -n**4/3 + 22*n**3/3 - 36*n**2 + n + 54. Factor g(o).
-4*(o - 9)*(o - 2)
Let x(u) be the first derivative of -u**5/120 + u**4/24 - u**3/12 + u**2/12 + 9*u + 1. Let f(d) be the first derivative of x(d). Solve f(w) = 0.
1
Let i(b) be the first derivative of -b**6/420 + b**5/105 + 7*b**3 - 12. Let w(a) be the third derivative of i(a). What is s in w(s) = 0?
0, 4/3
Suppose 8*n - 7*n = 58. Let f = 235/4 - n. Solve 3/2*v + 3/4*v**2 - f*v**3 + 0 = 0.
-1, 0, 2
Let y = -17 - -22. Suppose 3*t - 5 = y*l, l + 3*l = -3*t + 23. Factor -5*j**4 - 15*j**3 + 6*j**l + 3*j**4 + 11*j**4.
3*j**2*(j - 1)*(3*j - 2)
Let f be 864/2160*(0 + (-10)/(-36)). Solve 0 - 1/9*c**3 - f*c + 2/9*c**2 = 0.
0, 1
Suppose 3*l + 5*u - 20 = 20, l - 2*u = -5. Let -3*w**5 - l*w**3 - 2*w**2 - 4*w**4 + 6*w**5 - 4*w**5 = 0. What is w?
-2, -1, 0
Let g(v) be the second derivative of -v**7/560 + v**6/320 + v**5/160 - v**4/64 - 7*v**2/2 + v. Let w(h) be the first derivative of g(h). Factor w(i).
-3*i*(i - 1)**2*(i + 1)/8
Let n = 10/21 + -1/7. Let j = -202 + 204. Solve 1/6 + n*q + 1/6*q**j = 0.
-1
Find x such that -18/11*x**3 + 0 - 68/11*x**2 + 16/11*x = 0.
-4, 0, 2/9
Factor -2*m**5 + 409*m - 2*m**3 - 409*m + 4*m**5.
2*m**3*(m - 1)*(m + 1)
Let y = -6 - -13. Let f(p) = -p**2 + 5*p + 16. Let v be f(y). Factor -1/2*z**v + 3/2*z - 1.
-(z - 2)*(z - 1)/2
Suppose 22*r = 8*r + 392. Suppose 5*f**2 - 15 + 5*f - 12 - 11 + r = 0. What is f?
-2, 1
Suppose -3 = -2*o + 1. Suppose -16*a + 7*a**2 + 0*a**o + 2*a**2 - 4*a**3 + 7*a**2 = 0. Calculate a.
0, 2
Find x such that -11*x**4 + 25*x + 9 + 2*x - 4*x**3 + 0*x**2 + 2*x**2 - 36*x**3 + 6*x**3 + 7*x**5 = 0.
-1, -3/7, 1, 3
Let v(x) be the first derivative of 2*x**6/3 + 12*x**5 + 90*x**4 + 360*x**3 + 810*x**2 + 972*x - 55. Determine r so that v(r) = 0.
-3
Let t(q) be the first derivative of 4*q**5/15 - 20*q**3/9 + 16*q/3 - 23. Find g, given that t(g) = 0.
-2, -1, 1, 2
Let d(h) = -h**3 + 1. Let z(c) = 2*c - 2. Let x be 2/(-9) + (-55)/(-45). Let j(w) = x*z(w) + 2*d(w). Find o such that j(o) = 0.
-1, 0, 1
Suppose -5*q + 122 = -0*a + 2*a, -q + a + 23 = 0. Factor q*d**2 - 9*d**3 + 6*d**3 - 39*d**2.
-3*d**2*(d + 5)
Let i(u) = u**2 + u - 4. Let v be 50/(-16) - 6/(-48). Let s be i(v). Factor -s*r**2 - 2/9*r**4 + 4/3*r**3 + 0*r + 0.
-2*r**2*(r - 3)**2/9
Let j = 18724 - 56140/3. Factor -28/3*k**2 + 56/3*k - j + 4/3*k*