e second derivative of 10/7*t**2 - 4/21*t**4 + 2*t - 1 - 38/21*t**3. Let c(f) = 0. What is f?
-5, 1/4
Let o(d) be the second derivative of -d**7/98 - d**6/35 + 3*d**5/10 - 2*d**4/7 - 13*d**3/14 + 15*d**2/7 + 260*d. Determine l, given that o(l) = 0.
-5, -1, 1, 2
Let r be 6/(-4)*(-2 - (-32)/24). Let u(f) = -f**2 + 1. Let s(b) = 4*b**4 + 16*b**3 + 24*b**2 - 8. Let v(g) = r*s(g) + 8*u(g). Factor v(d).
4*d**2*(d + 2)**2
Let f be (56/420)/(16/20). Let i(u) be the second derivative of 0 + 1/2*u**2 - 1/2*u**3 + 1/42*u**7 + 1/10*u**5 + f*u**4 + 2*u - 1/10*u**6. Factor i(y).
(y - 1)**4*(y + 1)
Suppose h = -4*n - 5, -4*h - 3*n - 12 = -6*h. Let f(s) be the second derivative of 2/39*s**h + 7/78*s**4 + 2*s + 0 + 0*s**2 + 1/26*s**5. Factor f(q).
2*q*(q + 1)*(5*q + 2)/13
Let o(u) be the second derivative of u**7/336 - u**6/60 - 3*u**5/80 + u**4/24 + 5*u**3/48 - 33*u. Find g, given that o(g) = 0.
-1, 0, 1, 5
Let g(k) be the third derivative of 2*k**7/735 - 11*k**6/420 - 4*k**5/35 + 19*k**4/84 + 2*k**3/3 + 270*k**2. Solve g(p) = 0 for p.
-2, -1/2, 1, 7
Let t(n) = -5*n**3 - 43*n**2 - 156*n - 67. Let q(j) = 2*j**3 + 14*j**2 + 52*j + 22. Let f(z) = 17*q(z) + 6*t(z). Suppose f(w) = 0. What is w?
-1, 7
Let w = -182 - -182. Let s(r) be the second derivative of 0*r**2 - 1/10*r**6 + 0*r**3 + w*r**4 + 0 - 1/14*r**7 + 3*r + 3/10*r**5. Factor s(k).
-3*k**3*(k - 1)*(k + 2)
Let o be -3*5/10 + (-82)/(-28). Let -4/7 - 2*f - o*f**2 = 0. What is f?
-1, -2/5
Factor 43245 + 106*x**2 + 99*x**2 - 200*x**2 - 930*x.
5*(x - 93)**2
Let l(r) be the second derivative of -r**6/165 + 2*r**5/55 + r**4/22 - 6*r**3/11 + 38*r. What is t in l(t) = 0?
-2, 0, 3
Let g(r) be the third derivative of 0*r**3 + 0*r**4 + 0 - 1/1890*r**7 + 1/540*r**5 - 1/3024*r**8 + 6*r**2 + 0*r + 1/1080*r**6. Solve g(l) = 0 for l.
-1, 0, 1
Let l(a) be the second derivative of -a**5/110 + 5*a**4/66 - 7*a**3/33 + 3*a**2/11 - a - 29. Factor l(v).
-2*(v - 3)*(v - 1)**2/11
Suppose 5*x = 3*b - 24, b - 4*x + 0 = 15. Suppose -b*l + l + 4 = 0. Find a such that -26*a**2 + 2*a - 2*a + 27*a**l - 1 = 0.
-1, 1
Suppose 4*a - 8 = -0*a. Let p be (-1045)/(-2420) + (-3)/12. Let -p*v + 0 - 4/11*v**a - 2/11*v**3 = 0. What is v?
-1, 0
Let z(s) = -s**2 + 15*s + 59. Suppose 6 = -2*m, -3*a - 2*m = m - 45. Let b be z(a). Suppose 1/3*x**3 - 2/3*x**4 + 0*x**2 + 1/3*x**b + 0*x + 0 = 0. What is x?
0, 1
Suppose 300*u - 9 = 297*u. Suppose -5*i + 0*z + 3 = 4*z, -u = -2*i - z. Factor 2/3 - 4/3*d**i - 20/9*d + 2/9*d**4 + 8/3*d**2.
2*(d - 3)*(d - 1)**3/9
Let w(x) be the second derivative of -4/9*x**3 + 1/5*x**6 + 0 - 8/9*x**4 + 11/30*x**5 + 0*x**2 + 20*x. Find b such that w(b) = 0.
-2, -2/9, 0, 1
Suppose -4*z - t = 118, -2*z - 3*t - 46 - 8 = 0. Let j be (1 - 0 - 70/z) + -3. Factor -1/3*w**3 - j - w - w**2.
-(w + 1)**3/3
Let a = -3/10 + 41/70. Find b, given that -a*b**2 + 0*b + 2/7*b**3 + 0 = 0.
0, 1
Let u(f) be the first derivative of -f**8/280 - f**7/525 + f**6/150 - 11*f**2/2 + 5. Let i(l) be the second derivative of u(l). Solve i(t) = 0.
-1, 0, 2/3
Let a(q) be the first derivative of 4/5*q**5 + 0*q + 3/4*q**4 - 2*q**2 - 7 + 1/6*q**6 - 4/3*q**3. Factor a(d).
d*(d - 1)*(d + 1)*(d + 2)**2
Let n(w) be the second derivative of 0*w**2 + 1/24*w**4 - w**3 + 46*w + 0. Factor n(d).
d*(d - 12)/2
Let d = 1292 + -1289. Factor 3/4*a**2 - 1/4*a**4 - 5/4*a + 1/4*a**d + 1/2.
-(a - 1)**3*(a + 2)/4
Suppose 0 = -3*p + 3 - 15. Let u(x) = -2*x - 5. Let k be u(p). Find q, given that 0*q**3 - 2*q**5 - 4*q**4 + 2*q**4 + 2*q**k + 2*q**2 = 0.
-1, 0, 1
Let g(r) be the second derivative of r**4/60 + 9*r**3/10 - 14*r**2/5 + 189*r. Factor g(s).
(s - 1)*(s + 28)/5
Let n = -11 - -13. Factor 39/2*o**3 - 18*o**n + 0 + 3/2*o**5 - 9*o**4 + 6*o.
3*o*(o - 2)**2*(o - 1)**2/2
Let h = -3306 + 3306. Factor h + 1/6*q**2 - 1/6*q.
q*(q - 1)/6
Let r = 29 - 25. Determine t so that -80 - r*t**2 + 2*t**2 - t**2 - 2*t**2 - 40*t = 0.
-4
Suppose f + 1 = 3, 4*q - 3*f = 6. Determine v, given that -v - 3*v**q - 11*v + 6*v**3 + 12*v**2 - 6*v**3 = 0.
0, 2
Factor 5/2*h + 5/3*h**2 + 5/6*h**5 - 10/3*h**3 - 5/3 + 0*h**4.
5*(h - 1)**3*(h + 1)*(h + 2)/6
Let p(g) be the second derivative of g**8/36960 - g**7/13860 - g**6/990 + g**5/165 - 11*g**4/12 + 2*g. Let q(j) be the third derivative of p(j). Factor q(y).
2*(y - 2)*(y - 1)*(y + 2)/11
Let q(o) be the first derivative of -2 + 4/39*o**3 + 0*o**2 + 0*o - 1/26*o**4. Suppose q(b) = 0. Calculate b.
0, 2
Let r(g) be the first derivative of -g**5 + 25*g**4/4 - 25*g**3/3 - 25*g**2/2 + 30*g + 60. Find h such that r(h) = 0.
-1, 1, 2, 3
Suppose -17 = -4*o + b + 9, 24 = 2*o + 5*b. Let w = o + -5. Suppose 0*r**2 + 3*r**2 + r - 4*r**w = 0. Calculate r.
0, 1
Let r(m) be the second derivative of -m**6/10 + 3*m**5/5 - 8*m**3 + 24*m**2 + 38*m. Determine n so that r(n) = 0.
-2, 2
Let x = -74 + 77. Find o such that -40*o**3 - 4*o - 20*o**4 - 34*o**3 + 20*o**2 + 16*o**5 + 62*o**x = 0.
-1, 0, 1/4, 1
Factor 12*g**5 + 18*g**4 - 3*g**5 + 36*g - 24 - 33*g**3 - 5*g**5 - 7*g**5 + 6*g**2.
-3*(g - 2)**3*(g - 1)*(g + 1)
Suppose -44 = -5*b + 2*p, -5*b + 0*p = -p - 47. Factor -4*x + b + 3*x**2 - 10 + x**3.
x*(x - 1)*(x + 4)
Let s(a) = -a - 2. Let o(h) = -6*h + 31. Let c be o(6). Let m be s(c). Factor 0 + 2/7*k + 0*k**2 - 2/7*k**m.
-2*k*(k - 1)*(k + 1)/7
Let u(w) be the first derivative of 0*w**3 - 16 - 2/3*w**4 + 2/3*w**2 + 2/9*w**6 + 0*w**5 + 0*w. Factor u(l).
4*l*(l - 1)**2*(l + 1)**2/3
Let m be (4*2/(-28))/((-45)/35). Determine k, given that 2/9*k**2 - 4/3 - m*k = 0.
-2, 3
Let p(u) be the first derivative of 4*u**3/3 - 6*u**2 - 40*u + 124. Solve p(o) = 0 for o.
-2, 5
Let c(w) be the third derivative of -w**8/336 + w**7/210 + 7*w**6/60 + 13*w**5/30 + 19*w**4/24 + 5*w**3/6 - 260*w**2. Factor c(n).
-(n - 5)*(n + 1)**4
Let f(z) = -z - 25. Let p be f(-9). Let a = p + 20. Suppose -l**2 + 1/4*l**5 + 0*l + 2*l**3 + 0 - 5/4*l**a = 0. What is l?
0, 1, 2
Let d(m) be the second derivative of 12*m + 3/2*m**2 - 1/2*m**4 + 0 + 1/10*m**6 + 0*m**5 + 0*m**3. Factor d(q).
3*(q - 1)**2*(q + 1)**2
Let g(x) be the first derivative of 2*x**3/15 + 39*x**2 + 18. Factor g(w).
2*w*(w + 195)/5
Let j(f) = -6*f + 14. Let h be j(2). Let x(g) be the second derivative of -1/3*g**3 + 6*g + 1/6*g**4 + 0 + 0*g**h. Factor x(p).
2*p*(p - 1)
Let m be (-1 - 5/(-2))*2. Let h = m + -3. Factor -3*j + 2*j**2 + 4*j + h*j + j**3.
j*(j + 1)**2
Let h be 785/1413*(0 - 24/(-10)). Factor h - 5/3*k**2 + 8/3*k.
-(k - 2)*(5*k + 2)/3
Let q(l) be the third derivative of l**8/336 - 8*l**7/105 - 19*l**6/30 - 4*l**5/3 + 302*l**2. Factor q(f).
f**2*(f - 20)*(f + 2)**2
Suppose -1 = -17*w + 21*w + m, 0 = -5*w + 2*m + 2. Factor -5*p + w - 20*p**2 - 35/4*p**3.
-5*p*(p + 2)*(7*p + 2)/4
Let l(r) = -r**2. Let x(t) = 8*t**2 + 7*t - 3. Let a(y) = 3*l(y) + x(y). Let f(g) = 14*g**2 + 20*g - 8. Let n(m) = 8*a(m) - 3*f(m). Let n(w) = 0. Calculate w.
-2, 0
Let b(c) be the second derivative of 1/60*c**4 + 0*c**2 - 1/30*c**3 + 0 + 11*c. Find h, given that b(h) = 0.
0, 1
Let h = -6 - -11. Let y(w) = h*w - w**4 + w - 5*w. Let t(d) = 4*d**4 - 3*d**3 + 2*d**2 - 3*d. Let f(x) = t(x) + 3*y(x). Let f(p) = 0. Calculate p.
0, 1, 2
Let v(k) be the second derivative of -k**8/720 - k**7/630 + k**6/360 - 2*k**3/3 + 3*k. Let u(o) be the second derivative of v(o). Solve u(m) = 0.
-1, 0, 3/7
Let j = -13 - -13. Suppose 2*h = 2*i - 14, -3*h + h + 2 = j. Let -3*q + 9*q**2 - i*q**2 + q = 0. Calculate q.
0, 2
Let u = 5 + -3. Let d(k) = -4*k - 28. Let g be d(-8). Solve 0*i - 8*i**g + 3*i - 5*i + 14*i**3 - 4*i**u = 0.
-1/4, 0, 1
Let b(m) = -m - 3. Let w be b(-8). Factor 9*k**w - 8*k**4 - 22*k**3 - 5*k**5 + 10*k**3.
4*k**3*(k - 3)*(k + 1)
Let k = 104 - 60. Factor 6*d**5 - 16*d**2 + 56*d**3 - k*d**4 + 3*d**5 + d**5.
2*d**2*(d - 2)**2*(5*d - 2)
Let u be 48/(-20)*(-10)/4. Suppose u*a = 2*a + 2*f + 26, 3*f + 23 = 2*a. Determine t so that 7*t**a - 53*t**2 + 10*t**3 + 7*t**4 + 49*t**2 = 0.
-1, 0, 2/7
Let g = -6892/9 - -766. Factor g*s**2 + 0 - 4/9*s.
2*s*(s - 2)/9
Determine x so that 2*x**5 - 10*x**4 + 40*x**2 + 3*x**5 - 101*x**3 + 60*x + 66*x**3 = 0.
-2, -1, 0, 2, 3
Suppose -5*s + 3 = 3*x - 9, 2*x + 4*s - 8 = 0. Let d be (x/6)/(14/189). Let 6*y - 4*y**2 + 3*y**2 - d - y - 11*y = 0. What is y?
-3
Let m be 1*-4*(-2151)/(-36). Let t = m - -1705/7. Factor 2/7*i**2 + 16/7*i + t.
2*(i + 4)**2/7
Le