 = -9632 + 67430/7. Determine f, given that -c*f**2 - 4/7*f + 2/7 = 0.
-1, 1/3
Let f(x) be the first derivative of 9*x**7/280 - x**6/10 + x**5/10 - 19*x**3/3 - 26. Let c(d) be the third derivative of f(d). Find l, given that c(l) = 0.
0, 2/3
Let u(l) be the second derivative of -l**6/30 - 7*l**5/20 - l**4/2 + 14*l**3/3 + 20*l**2 - 661*l. Factor u(n).
-(n - 2)*(n + 2)**2*(n + 5)
Suppose 0*u - 4*o = 3*u, 4*u - 5*o = 0. Let y(t) be the second derivative of u - 9/2*t**2 - 4/3*t**4 - 4*t**3 - 3*t. Factor y(z).
-(4*z + 3)**2
Let p(i) be the first derivative of -i**8/840 + i**7/105 - i**6/45 - i**3/3 - 2*i**2 + 4. Let h(w) be the third derivative of p(w). Let h(s) = 0. What is s?
0, 2
Let z be (3/5)/(38/95). Let d(o) be the second derivative of z*o**3 + 0*o**4 + 0 + 11*o - 3/20*o**5 - 3*o**2. Factor d(y).
-3*(y - 1)**2*(y + 2)
Let i(a) be the second derivative of a**5/20 - a**3/2 + a**2 - 82*a. Factor i(s).
(s - 1)**2*(s + 2)
Let w(p) be the third derivative of p**6/280 - p**5/140 - 70*p**2. Factor w(i).
3*i**2*(i - 1)/7
Let h(w) be the second derivative of -5/2*w**2 - 6*w - w**3 + 1/2*w**4 + 0 + 1/8*w**5. Let o(u) be the first derivative of h(u). Factor o(k).
3*(k + 2)*(5*k - 2)/2
Let u = -21 + 37. Let v = u - 13. Factor -v*g**4 + g**4 + 0*g**4 - 24*g**3 + 22*g**3.
-2*g**3*(g + 1)
Let k(a) = 2*a**2 + 13*a - 66. Let g(s) = -8*s**2 - 53*s + 264. Let o(u) = -3*g(u) - 11*k(u). Solve o(t) = 0 for t.
-11, 3
Let -1/5*g**5 + 0*g**4 + 4/5*g**3 - 3/5*g - 2/5 + 2/5*g**2 = 0. What is g?
-1, 1, 2
Let z(b) be the second derivative of 2*b**7/105 - 13*b**6/150 - b**5/100 + 13*b**4/60 - b**3/10 + 2*b - 1. Let z(t) = 0. What is t?
-1, 0, 1/4, 1, 3
Let n = 12119 - 60459/5. Factor n*j + 252/5*j**2 - 162/5*j**3 + 16/5.
-2*(j - 2)*(9*j + 2)**2/5
Let p(c) be the second derivative of c**6/150 + 2*c**5/75 + c**4/30 - 2*c**2 - 11*c. Let m(a) be the first derivative of p(a). Factor m(u).
4*u*(u + 1)**2/5
Let q = -14 - 6. Let d be (0 - 15)*q/25. Let y(v) = -4*v**3 - 28*v**2 - 16*v - 12. Let n(l) = l**2 + 1. Let c(g) = d*n(g) + y(g). Factor c(p).
-4*p*(p + 2)**2
Let x(n) = -n**2 + n + 1. Let w(c) = -25*c + 19*c**2 - 2*c + 12*c**2 - 39*c**2 + 38. Let o(f) = -w(f) + 3*x(f). Let o(m) = 0. What is m?
-7, 1
Let h be 20/(-2 + 0) - 10/(-5). Let n be -3 - (2 - h/(-2))*3. Factor m**2 + 1/3 + n*m**3 - 5/3*m.
(m + 1)*(3*m - 1)**2/3
Suppose -19*i = -24*i + 325. Find s such that -5*s**5 - 20 + 35*s**2 - 15*s**4 + i*s - 65*s + 5*s**3 = 0.
-2, -1, 1
Let g(r) be the first derivative of -3*r**4/8 - 131*r**3/2 - 3168*r**2 + 6534*r + 30. Factor g(u).
-3*(u - 1)*(u + 66)**2/2
Let v(c) = 3*c**3 + 213*c**2 + 2*c + 145. Let k be v(-71). Solve 0*b**4 + 0*b**2 + 0 + 1/6*b**5 + 0*b - 1/6*b**k = 0 for b.
-1, 0, 1
Let b(r) be the second derivative of -r**9/4032 + r**7/560 - r**5/160 - 37*r**3/6 - 38*r. Let f(s) be the second derivative of b(s). Factor f(w).
-3*w*(w - 1)**2*(w + 1)**2/4
Let q(z) be the second derivative of -z**5/40 + z**4/8 + 3*z**3/4 + 8*z**2 + 3*z. Let a(l) be the first derivative of q(l). Factor a(o).
-3*(o - 3)*(o + 1)/2
Factor -177*d**2 + 161*d**2 - d**3 - d**3 - 24*d.
-2*d*(d + 2)*(d + 6)
Let y(u) be the first derivative of 0*u + 19 + 1/12*u**3 + 1/8*u**4 + 1/20*u**5 + 0*u**2. Let y(h) = 0. Calculate h.
-1, 0
Let w be ((-34)/14 - -1) + -1. Let v = -61/28 - w. Find a, given that v*a**2 + 0 + 1/4*a = 0.
-1, 0
Let j be 144/64*1/(-21)*-4. Let l(d) be the first derivative of 4 - 4/7*d - j*d**2 - 2/21*d**3. Factor l(z).
-2*(z + 1)*(z + 2)/7
Let g(q) be the second derivative of 1/6*q**4 + 0*q**2 - 1/20*q**5 - 15*q + 0 + 0*q**3. Determine s, given that g(s) = 0.
0, 2
Suppose -79*h + 81*h = 4, 5*c - 2*h - 6 = 0. Factor 2 + 1/3*i**c - 5/3*i.
(i - 3)*(i - 2)/3
Let z be (764*(-4)/(-72))/(2/(-3)). Let g = 64 + z. Factor -1/3*l**2 + 0*l + g.
-(l - 1)*(l + 1)/3
Let r = -24 - -39. Let y be -2*r*-1 - 0. Suppose -27 + 33 + g**5 + y*g**3 + 8*g**5 - 30*g**4 - 15*g = 0. Calculate g.
-2/3, 1
Suppose 12/7*h**2 - 22/7*h - 2/7*h**3 + 12/7 = 0. Calculate h.
1, 2, 3
Suppose 8 = 5*h - h. Factor 6*l**2 + l**3 + 4*l**3 + 3*l**3 - h*l.
2*l*(l + 1)*(4*l - 1)
What is m in -18 + 26 + 4*m**3 - 8 + 36*m**2 = 0?
-9, 0
Let o(a) = -a**2 - 9*a + 25. Let r be o(-11). Factor -9*t**r - 3*t**2 - 4*t**4 + t**4 - 26 + 32 + 9*t.
-3*(t - 1)*(t + 1)**2*(t + 2)
Let a(g) be the second derivative of g**6/432 - 5*g**4/144 + 7*g**3/6 + g. Let i(n) be the second derivative of a(n). Factor i(w).
5*(w - 1)*(w + 1)/6
Let t = -24 + 28. Factor -4725*j**3 + 4697*j**3 + t*j**4 + 8*j**2 - 40*j**2.
4*j**2*(j - 8)*(j + 1)
Factor -40*z - 140*z**3 - 78 - 2 + 240*z**2 - 40*z + 25*z**4.
5*(z - 2)**3*(5*z + 2)
Determine j so that 52/3*j - j**5 + 49/3*j**2 - 1/3*j**3 - 13/3*j**4 + 4 = 0.
-3, -2, -1, -1/3, 2
Let h be 4/((-7)/21*-6). Let p(t) be the first derivative of 4/3*t**6 + 2*t + 8 + 14/5*t**5 - 16/3*t**3 - t**4 - 2*t**h. What is g in p(g) = 0?
-1, 1/4, 1
Let w(i) be the first derivative of i**5/20 - i**4/12 - i**3/6 + i**2/2 - i + 18. Let t(l) be the first derivative of w(l). Factor t(d).
(d - 1)**2*(d + 1)
Suppose 3*n = -3*d - 3, 0 = 2*n - 2*d - 6 - 8. Suppose 0 = 5*t - 2*a, -t + n*a - 5 = 4*t. Let f**2 - 6*f**2 + 7*f**2 - t = 0. What is f?
-1, 1
Let l = -6623/5 - -1325. Let a(g) be the first derivative of -5 - l*g**5 + 7/6*g**6 + 0*g + 0*g**2 + 0*g**4 + 0*g**3. Solve a(z) = 0 for z.
0, 2/7
Let h(t) be the second derivative of -t**4/72 + t**3/2 - 17*t**2/12 - 558*t. Factor h(i).
-(i - 17)*(i - 1)/6
Suppose -3*v + 27 = 4*n, 6*n - 10*n = 2*v - 22. Let x(h) be the first derivative of -13 + 4/3*h**3 - 2/5*h**v - 2*h + h**2 + 1/3*h**6 - h**4. Factor x(u).
2*(u - 1)**3*(u + 1)**2
Suppose -46*w + 143 - 51 = 0. Let x = -3 - -8. What is z in 4*z**3 - 6 - 2/3*z**x - 20/3*z**2 + w*z**4 - 14*z = 0?
-1, 3
Let f(x) be the second derivative of -2*x**4 + 0*x**2 - 3/20*x**6 - x**3 + 26*x - 39/40*x**5 + 0. Let f(u) = 0. What is u?
-2, -1/3, 0
Suppose -7*r**3 + 413*r**2 - 38*r**3 - 105 - 162*r**2 - 700*r + 234*r**2 - 75 = 0. Calculate r.
-2/9, 2, 9
Let s(o) be the third derivative of -o**5/15 - 3*o**4/2 - o**2 + 6. Solve s(c) = 0 for c.
-9, 0
Let l(y) be the third derivative of y**5/12 + 75*y**4/4 - 455*y**3/6 - 387*y**2. Factor l(f).
5*(f - 1)*(f + 91)
Let j(n) be the first derivative of -n**4/12 - n**3/3 - n**2/2 - 2*n + 6. Let l(v) be the first derivative of j(v). Factor l(t).
-(t + 1)**2
Factor -2*i - 1/4*i**2 + 5.
-(i - 2)*(i + 10)/4
Let c = -13838 + 13840. What is g in 2/5*g**3 + 0*g + 0*g**c - 3/5*g**4 + 1/5*g**5 + 0 = 0?
0, 1, 2
Let d(m) be the first derivative of -m**6 - 20*m**5 - 31*m**4/2 + 32*m**3/3 - 174. Determine b, given that d(b) = 0.
-16, -1, 0, 1/3
Let t = 173 - 171. Factor -4*k**4 + 2*k**4 - 4 + 4*k**t + 0*k**4 + 2.
-2*(k - 1)**2*(k + 1)**2
Suppose q - 3*q + 10 = -m, -2*q + 4*m + 22 = 0. Suppose 0*c - 12*c + 60 = 0. Factor -3*g**q - 5*g**2 + c*g**2 + 3*g.
-3*g*(g - 1)*(g + 1)
Factor 488/5*t + 172/5*t**2 + 64 + 4/5*t**3.
4*(t + 1)*(t + 2)*(t + 40)/5
Let z(r) be the third derivative of r**8/8400 - r**7/1050 + r**6/360 - r**5/300 + 3*r**3/2 + 5*r**2. Let h(u) be the first derivative of z(u). Factor h(b).
b*(b - 2)*(b - 1)**2/5
Let g = 527/70 - 52/7. Let j(f) be the second derivative of -10*f + 0*f**3 + 1/6*f**4 - 1/21*f**7 + g*f**5 + 0*f**2 + 0 - 1/15*f**6. Factor j(p).
-2*p**2*(p - 1)*(p + 1)**2
Let u = -8 - -12. Let 4 - 2*j**3 + 9*j**4 - 3*j**2 + 7*j - 3*j - 8*j**u = 0. Calculate j.
-1, 2
Let a(g) be the third derivative of -g**6/60 - 4*g**5/15 - 4*g**4/3 + 119*g**2. Factor a(y).
-2*y*(y + 4)**2
Let y(q) be the first derivative of -5*q**6/6 + 20*q**5 + 55*q**4/2 - 100*q**3/3 - 105*q**2/2 - 488. Let y(b) = 0. What is b?
-1, 0, 1, 21
Solve -216/5*z + 6*z**5 - 78/5*z**4 - 246/5*z**3 + 726/5*z**2 - 216/5 = 0.
-3, -2/5, 1, 2, 3
Let r(m) = -5*m**3 + 8*m**2 - m + 2. Let q be -1 + 4 - (-3)/(-3). Let t(a) = 2*a - 25*a**2 + 0*a + 16*a**3 - 7 + 0*a. Let n(z) = q*t(z) + 7*r(z). Factor n(g).
-3*g*(g - 1)**2
Let b = 10078 + -70544/7. Factor 0*f + 0 - b*f**3 - 8/7*f**2.
-2*f**2*(f + 4)/7
Let v be (2/(-55))/((77/(-35))/11). Let r(n) be the second derivative of -1/66*n**4 + v*n**2 + 0 - n + 1/33*n**3. Find c such that r(c) = 0.
-1, 2
Find z, given that -1/4*z + 1/4*z**3 - 87/4 + 87/4*z**2 = 0.
-87, -1, 1
Let y be (-4)/3*(12/8 - (4 - 1)). Find w, given that 0*