irst derivative of w(a). Factor s(v).
v*(v + 1)/5
Let p(r) be the third derivative of 0*r - 9*r**2 - 1/192*r**4 + 0 + 0*r**3 - 1/120*r**5 - 1/320*r**6. Factor p(j).
-j*(j + 1)*(3*j + 1)/8
Let b(i) be the third derivative of -3/8*i**3 - 1/480*i**6 + 0 + 0*i + i**2 - 1/32*i**4 + 1/48*i**5. Factor b(c).
-(c - 3)**2*(c + 1)/4
Let s(p) be the third derivative of p**6/480 + p**5/240 - p**4/6 + 5*p**3/6 - 2*p**2 + 48. Factor s(l).
(l - 2)**2*(l + 5)/4
Suppose 0 = -4*r - 142 + 150. Suppose -6*l + 5*m = -8*l - 17, -r*l = -5*m - 33. Factor 0*n**3 + 0*n - 8/3*n**2 + 4/3*n**l + 4/3.
4*(n - 1)**2*(n + 1)**2/3
Let m(s) be the second derivative of -25/48*s**4 - 10*s + 5/3*s**3 + 0 + 1/16*s**5 - 5/2*s**2. Factor m(y).
5*(y - 2)**2*(y - 1)/4
Suppose i + 3*i - 2*j + 18 = 0, -i = j + 3. Let o = i - -8. Factor -2*w**3 - 4*w**2 + o*w**2 + 2*w**2 - 7*w**3.
-w**2*(9*w - 2)
Let f(b) be the first derivative of -3*b**4/32 - b**3/4 + 3*b**2/2 + 136. Let f(z) = 0. What is z?
-4, 0, 2
Let k(g) = g + 8. Let z be k(-6). Let s be (1/5*8)/z. Suppose 4/5*h - s - 1/5*h**2 = 0. Calculate h.
2
Let d(m) be the first derivative of 3*m**4/28 + 23*m**3/21 + 25*m**2/7 + 24*m/7 - 147. Factor d(h).
(h + 3)*(h + 4)*(3*h + 2)/7
Let h = 62 - 59. Let c be (250/(-15))/(-5) - h. Find b, given that -c*b**2 + 0 - 2/3*b**3 + 4*b**5 + 0*b + 11/3*b**4 = 0.
-1, -1/4, 0, 1/3
Let s = 2111916 - 1510020268/715. Let u = 2/715 - s. Factor -2/13*v + 0 + u*v**2.
2*v*(3*v - 1)/13
Suppose -2650*k - 114 = -2707*k. Solve 0*r**3 - 3/5*r + k*r**2 + 0 + 3/5*r**5 - 2*r**4 = 0.
-1, 0, 1/3, 1, 3
Suppose 4*l - 5*j + 88 = 0, -l = l - 2*j + 46. Let b be 10/(-25) + l/(-5). Find r such that 1 - 12*r**2 + 4*r + b*r - 30*r + 5 = 0.
-2, 1/4
Let i(b) = 2*b**2 - 8*b + 7. Let p(s) = s**2 - 4*s + 4. Let z(x) = -2*i(x) + 5*p(x). Let m be z(3). Factor -3*q**2 - 19*q + 8*q + q**m + 13*q.
q*(q - 2)*(q - 1)
Factor 8/3 + 1681/3*k**3 + 3526/3*k**2 + 332/3*k.
(k + 2)*(41*k + 2)**2/3
Let x(i) be the first derivative of 2/3*i**3 - 2/5*i**5 - 1/2*i**4 - 5 + i**2 + 0*i. Factor x(k).
-2*k*(k - 1)*(k + 1)**2
Let j(q) = 3*q**2 + 130*q + 1023. Let g(t) = -t**2 + 2*t - 1. Let o(w) = g(w) - j(w). Factor o(m).
-4*(m + 16)**2
Let n(y) be the first derivative of -y**5/80 - 3*y**4/16 - 9*y**3/8 + 10*y**2 + 38. Let h(q) be the second derivative of n(q). Let h(k) = 0. What is k?
-3
Let t(h) = -7*h**4 + 18*h**3 - 45*h**2 + 54*h - 20. Let d(q) = -8*q**4 + 18*q**3 - 44*q**2 + 54*q - 20. Let n(x) = 5*d(x) - 6*t(x). Let n(j) = 0. What is j?
1, 2, 5
Let y(a) = 27*a**2 - 48*a + 3. Let o(d) = 14*d**2 - 26*d + 2. Let i(j) = 5*o(j) - 2*y(j). Determine k, given that i(k) = 0.
1/8, 2
Let r = 37/126 - -5/18. Let l(c) = c**3 + 30*c**2 + 52*c - 109. Let m be l(-28). Determine d, given that -r*d**5 + 0*d**2 - 4/7*d + 0 + 0*d**4 + 8/7*d**m = 0.
-1, 0, 1
Let -2122 + 6729 + 199*x - 31*x + 2449 + x**2 = 0. What is x?
-84
Let k(y) = y**2 - 17*y + 1. Let l(d) = 2*d**2 - 25*d + 2. Suppose -2*x - 34 = 4*m, -5*m = -3*m + 3*x + 23. Let p(f) = m*k(f) + 5*l(f). Factor p(t).
3*(t - 1)**2
Let b(f) be the first derivative of 1/4*f**4 - 6 + f + f**3 + 3/2*f**2. Factor b(o).
(o + 1)**3
Suppose 0*g = g - 38. Suppose 5*k + j = -j + 33, -5*k + 3*j + g = 0. Find y, given that -5*y**4 - 3*y**5 - 6*y**2 - 3*y + 6*y**3 + y**4 + k*y**4 + 3 = 0.
-1, 1
Factor 2239 - 20*q - 2247 - 4*q**2 + 7*q**3 + 12*q**4 + 13*q**3.
4*(q - 1)*(q + 1)**2*(3*q + 2)
Let -185*u**2 + 50*u - u**5 + 57*u**3 + 110*u**4 - 30*u**4 + 78*u**3 - 19*u**5 = 0. Calculate u.
-2, 0, 1/2, 5
Let b(z) be the second derivative of z**4/20 - 31*z**3/10 - 153*z**2/5 - 298*z. Factor b(f).
3*(f - 34)*(f + 3)/5
Let n(c) be the first derivative of -c**6/200 + 11*c**5/600 - c**4/60 + 2*c**3/3 - 19. Let o(a) be the third derivative of n(a). Factor o(l).
-(l - 1)*(9*l - 2)/5
Let u(g) be the second derivative of -g**3/3 + g**2 + 2*g. Let o(c) = c**4 - c**3 + 5*c - 5. Let l(z) = -2*o(z) - 5*u(z). Suppose l(w) = 0. Calculate w.
0, 1
Suppose 1972*j**3 - 10*j**4 - 19208 + 28028*j + 30*j**4 + 49188*j**2 + 0*j**4 = 0. What is j?
-49, -1, 2/5
Let s(i) be the first derivative of i**5/12 + 35*i**4/24 + 5*i**3 - 35*i**2/2 + 7. Let t(c) be the second derivative of s(c). Factor t(w).
5*(w + 1)*(w + 6)
Let i(w) be the third derivative of -2*w + 0 + 1/165*w**5 + 1/1320*w**6 + 43*w**2 + 0*w**3 - 1/66*w**4 - 1/2310*w**7. Factor i(g).
-g*(g - 2)*(g - 1)*(g + 2)/11
Let q be 9 - (-3 - (-16 + 4)). Let a(t) be the third derivative of q*t + 2/3*t**3 + 4*t**2 + 1/60*t**5 + 0 - 1/6*t**4. Factor a(b).
(b - 2)**2
Suppose 8/3*u - 98/3*u**3 + 98/9*u**4 + 188/9*u**2 - 16/9 = 0. Calculate u.
-2/7, 2/7, 1, 2
Let c(g) = -6*g**2 - 90*g + 10. Let o(q) = q**2 + 18*q - 2. Let z(h) = -2*c(h) - 11*o(h). Let y be z(18). What is j in -5 - y*j - 1/5*j**2 = 0?
-5
Let t(o) = -148*o**2 + 1648*o - 169744. Let z(m) = -6*m**2. Let v(h) = -t(h) + 24*z(h). Factor v(b).
4*(b - 206)**2
Let g(k) be the second derivative of -k**5/110 + 8*k**4/33 - 52*k**3/33 + 48*k**2/11 - 84*k. Factor g(a).
-2*(a - 12)*(a - 2)**2/11
Let a(d) = -d**3 - 13*d**2 - 13*d - 7. Let w be a(-12). Suppose -i = -2*m - 4, i - w*m - 1 = 3. Factor 2/11*h**i + 0 - 2/11*h**2 + 0*h + 0*h**3.
2*h**2*(h - 1)*(h + 1)/11
Let j(i) be the second derivative of i**7/98 + 3*i**6/70 - 3*i**5/70 - 3*i**4/7 - 4*i**3/7 - 613*i. Suppose j(d) = 0. Calculate d.
-2, -1, 0, 2
Factor -w**2 - 2*w + 0*w + 13*w**3 + 0*w**2 - 12*w**3.
w*(w - 2)*(w + 1)
Let y be (3/6)/(7/84). Let o(u) be the second derivative of 2*u + 0*u**2 - 1/30*u**y + 0 + 1/12*u**3 - 3/40*u**5 + 0*u**4. Factor o(t).
-t*(t + 1)**2*(2*t - 1)/2
Let w(f) be the first derivative of 3*f**5/5 + 3*f**4/4 - f**3 - 3*f**2/2 - 15. Factor w(u).
3*u*(u - 1)*(u + 1)**2
Let v(l) = -4*l**4 + 11*l**3 + 15*l**2 - 35*l - 77. Let n(w) = 9*w**4 - 23*w**3 - 27*w**2 + 71*w + 153. Let y(x) = 6*n(x) + 14*v(x). Factor y(o).
-2*(o - 10)*(o - 2)*(o + 2)**2
Let 28 - 5*g**3 - 11*g**3 - 94*g - 14*g**2 - 50*g + 74*g**2 + 72*g**2 = 0. Calculate g.
1/4, 1, 7
Let q(y) be the second derivative of y**9/30240 - y**8/6720 - y**4/6 + 3*y. Let c(x) be the third derivative of q(x). Find s such that c(s) = 0.
0, 2
Let o(k) be the first derivative of -k**5/20 + k**4/16 + k**3/12 - k**2/8 - 5. What is h in o(h) = 0?
-1, 0, 1
Suppose -q - 2*g + 7 = -0, 2*g - 22 = -2*q. Let w = -12 + q. Factor 2*p**2 + p + 6*p**3 + 3*p - 8*p**w.
-2*p*(p - 2)*(p + 1)
Let r(m) be the first derivative of -9/5*m**5 + 1 - m - 3/4*m**4 + 1/2*m**2 + 23/12*m**3. Factor r(n).
-(2*n - 1)**2*(3*n + 2)**2/4
Let h = -7634/15 - -509. Let u(v) be the third derivative of 1/150*v**5 - 4*v**2 + 0 + 0*v - 1/120*v**4 - h*v**3 + 1/600*v**6. Factor u(k).
(k - 1)*(k + 1)*(k + 2)/5
Let a(o) be the third derivative of -o**9/151200 + o**8/25200 - o**7/12600 + o**5/30 - 17*o**2. Let t(s) be the third derivative of a(s). Factor t(f).
-2*f*(f - 1)**2/5
Factor -1/4*r - 3/4*r**2 + 1/2 + 1/4*r**3 + 1/4*r**4.
(r - 1)**2*(r + 1)*(r + 2)/4
Let z be 36/(-25)*(-50)/20. Factor 2/5*w**3 + 32/5 + 48/5*w + z*w**2.
2*(w + 1)*(w + 4)**2/5
Let q = -1413 + 1415. Let b(g) be the second derivative of -6*g**q - 8*g - 2*g**3 + 0 - 1/4*g**4. Factor b(u).
-3*(u + 2)**2
Suppose 0 = -5*r - 14*m + 9*m + 15, -5*r + 4*m = -6. Suppose 0*n - 1/5*n**r + 4/5 = 0. Calculate n.
-2, 2
Determine b, given that 1/5*b**4 - 2/5*b**3 + 4/5 + 4/5*b - 3/5*b**2 = 0.
-1, 2
Let r(x) be the second derivative of 0 - 1/5*x**2 - 13/30*x**4 - 4/75*x**6 + 2/5*x**3 + 6/25*x**5 - 9*x. Factor r(s).
-2*(s - 1)**2*(2*s - 1)**2/5
Find z, given that 10*z**2 - 6*z**5 - 17189 - 10*z**4 + 17189 - 4*z + 10*z**3 = 0.
-2, -1, 0, 1/3, 1
Let j(l) be the third derivative of 0 - 5*l + 1/135*l**5 - 2/945*l**7 - 1/1512*l**8 + 1/108*l**4 - 3*l**2 + 0*l**6 + 0*l**3. Suppose j(r) = 0. What is r?
-1, 0, 1
Let b(k) be the third derivative of -k**7/1785 + k**6/85 - 32*k**2 + 3. Find g such that b(g) = 0.
0, 12
Find b such that -1331000*b**3 - 20059332*b**4 - 2403648*b**4 + 4161730*b**4 - 2 - 36300*b**2 - 440*b = 0.
-1/55
Factor -8 + 98/3*u**2 - 26/3*u**3 - 80/3*u.
-2*(u - 2)**2*(13*u + 3)/3
Let t(n) be the third derivative of 2/15*n**5 + 0*n**3 + 0*n + 0 - 10*n**2 + 0*n**4 - 1/30*n**6. Factor t(j).
-4*j**2*(j - 2)
Suppose -151*f**4 + 22*f**3 - 15*f**2 + 1 + 2*f**2 - 5*f**2 + 1 + 143*f**4 + 2*f = 0. What is f?
-1/4, 1
Solve 576 - 24*q + 1/4*