 6*t**3 + 7*t**2 - 21*t - 5. Let u(w) be the first derivative of w**4/4 + w**3/3 - w**2/2 - w - 827. What is c(a) - 5*u(a)?
a**3 + 2*a**2 - 16*a
Let a(q) be the third derivative of q**5/15 - 1236*q**2. Let z(f) = f**3 + f**2 - f. Determine a(p) - 4*z(p).
-4*p**3 + 4*p
Let h(y) = 6. Let q(c) = -1684*c + 3370*c + 1 - 3 + 3 - 1687*c. What is h(i) - 6*q(i)?
6*i
Let v(j) = -29*j**2 + 1. Suppose 23*q - 35*q = -106*q - 470. Let g(a) = -57*a**2 + 2. Determine q*v(y) + 3*g(y).
-26*y**2 + 1
Let k(t) = 2*t**3 + 964*t**2 + 5. Let l(v) = v**3 + 483*v**2 + 2. Calculate 2*k(m) - 5*l(m).
-m**3 - 487*m**2
Let k(b) = 3*b + 3. Let q(s) = 2*s**2 - 9*s - 40. Let w be q(7). Let u(o) be the second derivative of 0 + 1/3*o**3 + o**2 + 6*o. Determine w*u(v) + 4*k(v).
2*v + 2
Let t(y) = -1547*y + 29. Let r(c) = 515*c - 11. Calculate 8*r(w) + 3*t(w).
-521*w - 1
Let o(k) = -36*k**2 + 1305*k + 5. Let t(f) = -29*f**2 + 1306*f + 4. Calculate 4*o(s) - 5*t(s).
s**2 - 1310*s
Let h(z) = 446*z**3 - 51 - 1450*z**3 + 51*z**2 + 783*z**3. Let k(m) = -17*m**3 + 4*m**2 - 4. Give -4*h(u) + 51*k(u).
17*u**3
Let p(w) = -26*w. Let t(f) be the third derivative of -f**4/12 + 2042*f**2. Determine 2*p(s) - 20*t(s).
-12*s
Let u(y) = 5*y**2 + 2*y + 6. Let k(j) = j**2 + j + 1. Suppose -3*i - 6*l = -8*l - 47, 0 = 2*l + 2. Let v = 21 - i. Calculate v*k(t) - u(t).
t**2 + 4*t
Let y(n) = -6034*n**2 + n + 1. Let d(a) = -a**2 - 1. Determine -3*d(j) - y(j).
6037*j**2 - j + 2
Let c(y) = -2*y**3 - y**2 - 1. Let b(j) = -16*j**3 - 8*j**2 - 4. Calculate -b(u) + 3*c(u).
10*u**3 + 5*u**2 + 1
Let n(l) be the first derivative of l**2/2 - l + 10649. Let t(d) be the first derivative of 5*d**2/2 - 4*d - 1. Determine 3*n(u) - t(u).
-2*u + 1
Let w(g) = -g**2 + 90*g + 2625. Let k(p) = 2*p**2 - 195*p - 5250. Calculate -6*k(q) - 13*w(q).
q**2 - 2625
Let u(z) = -100*z**3 - 3*z**2 - 2*z - 1. Let p(s) = -502*s**3 - 16*s**2 - 11*s - 5. What is 2*p(g) - 11*u(g)?
96*g**3 + g**2 + 1
Let m(h) = 4*h - 1. Let d(z) be the first derivative of 3/2*z**2 - 6 - z. Determine -6*d(g) + 5*m(g).
2*g + 1
Let k(s) = 2*s - 887. Let t(u) = -6*u + 2662. What is 16*k(j) + 5*t(j)?
2*j - 882
Let o(t) = -11*t + 4457. Let g(b) = -18*b + 8910. Calculate -3*g(f) + 5*o(f).
-f - 4445
Let c(o) = 2*o**2 - 8. Let a(y) be the second derivative of -3 + 1/2*y**2 - 17*y. Calculate -6*a(p) - c(p).
-2*p**2 + 2
Let f(n) = -9*n**2 + 38*n + 81. Let l(k) = -k**2 + 4*k + 9. Calculate 6*f(t) - 57*l(t).
3*t**2 - 27
Let m(v) = 2326*v + 240. Let d(o) = 2327*o + 180. Calculate -4*d(u) + 3*m(u).
-2330*u
Let y(z) = z**3 + z + 1. Let i(n) = -3*n**3 - n**2 - 2*n - 2. Let j be (4/(-14))/(-20 + (-282)/(-14)). Calculate j*y(b) - i(b).
b**3 + b**2
Let v(j) = 7*j + 3. Let n(l) = -53*l - l**2 + 4 - 40*l - 51*l + 152*l. Calculate -3*n(c) + 4*v(c).
3*c**2 + 4*c
Let n(p) = -p**2. Let m(z) be the second derivative of 1/3*z**3 + 0*z**2 - 1/2*z**4 + 170 - 1/10*z**5 - z. Let w be (-1)/(-4) + 42/(-8). Give w*n(s) + m(s).
-2*s**3 - s**2 + 2*s
Let r(i) = -97*i**2 - 4*i + 14. Let a(l) = -95*l**2 - 6*l + 20. What is -2*a(k) + 3*r(k)?
-101*k**2 + 2
Suppose 0 = 4*k - 25 + 9. Let c(q) = -29 - 32 - 34 + 98 - 28*q + 26*q. Let d(r) = 2*r - 4. What is k*c(o) + 3*d(o)?
-2*o
Let j(n) be the first derivative of -n**3/6 + 3*n**2/2 - 67*n - 56. Let h(c) be the first derivative of j(c). Let z(w) = -2. Calculate 3*h(m) + 5*z(m).
-3*m - 1
Let v(n) = -9*n**2 + 15*n. Let z(u) = -5*u**2 + 8*u. Suppose 2160 = -15*k + 42*k. Suppose -13*p - k = -158. Calculate p*v(r) - 11*z(r).
r**2 + 2*r
Suppose 5*x = h - 30, -2*h + 2*x - 73 = -5*h. Suppose -h*n + 42 = -8. Let m(t) = -1 - 1 + 2*t + 0. Let i(a) = a + 1. What is n*i(g) + m(g)?
4*g
Let f(z) = 68*z + 140. Let w(q) = 27*q + 70. Give 2*f(n) - 5*w(n).
n - 70
Let s(i) = -9*i**3 + 286*i**2 + 8*i - 5. Let o(x) = 11*x**3 - 286*x**2 - 10*x + 6. Give -5*o(w) - 6*s(w).
-w**3 - 286*w**2 + 2*w
Let d(q) = -18533*q**2 - 16. Let g(l) = -2316624*l**2 - 2004. What is -501*d(w) + 4*g(w)?
18537*w**2
Suppose 8*a = 4*a + 8. Let t(r) = 9*r + 9. Let v(s) = 12*s. Let u(g) = -410*g - 2. Let i(d) = 2*u(d) + 68*v(d). Determine a*t(p) + 5*i(p).
-2*p - 2
Let u(f) = -48*f**2 - 10*f - 9. Let y(a) = -50*a**2 - 8*a - 7. What is -4*u(j) + 5*y(j)?
-58*j**2 + 1
Let y(d) = d - 11. Let m(p) = 9*p + 20. Let k(q) = -14*q - 24. Let l(z) = -2*k(z) - 3*m(z). Give 3*l(b) - 2*y(b).
b - 14
Let n(z) = 53*z**3 - z**2 - 2*z - 1. Let l(b) = 2*b**3 - 2*b - 1. Calculate l(q) - n(q).
-51*q**3 + q**2
Let m(a) = a**3 + a**2 - a + 1. Suppose 18 = 2*j - v, 0 = 4*j - j + 3*v - 18. Let g(k) = 164*k**2 + 2 + 7 - 155*k**2 - 9*k + j*k**3. What is -2*g(c) + 18*m(c)?
2*c**3
Let v be 10/(-4)*(2 - 16/4). Let f(s) = 4*s**2 - 7*s - 6. Let g(r) = r - r + 5 - 4*r**2 + 6*r. Give v*f(j) + 6*g(j).
-4*j**2 + j
Let g(i) = -13517 + 27043 + 16*i**2 - 13533 + 13*i**3. Let n(m) = -m**2 - 12*m - 13. Let r be n(-10). Let y(c) = 4*c**3 + 5*c**2 - 2. What is r*y(h) - 2*g(h)?
2*h**3 + 3*h**2
Let h(p) = -4*p - 2. Let l(y) = 21*y + 11. Suppose 58*q - 76 = -4*a + 56*q, 3*a = 2*q + 78. Give a*h(o) + 4*l(o).
-4*o
Suppose 3*i + 2*j = 2, 3*j - 12 + 4 = -2*i. Let d be ((-9)/(-6) + i)/(3/6). Let p(t) = -2*t. Let z(y) = -y. Give d*p(k) + 8*z(k).
-6*k
Let x(c) be the third derivative of -c**6/60 + c**5/60 + 5*c**4/24 + 189*c**2 - 3*c. Let l(n) = -6*n**3 + 4*n**2 + 16*n. Determine 2*l(q) - 7*x(q).
2*q**3 + q**2 - 3*q
Let c(s) = -38*s - 12558. Let i(u) = 15*u + 6280. What is -2*c(q) - 5*i(q)?
q - 6284
Let r(f) = -33*f + 402. Let z(s) = -110*s + 1205. Calculate 7*r(o) - 2*z(o).
-11*o + 404
Let s(k) = -15*k**2 + 17*k + 13. Suppose 0 = -2*j - 2*p + 190 - 32, 2*j + 5*p = 161. Let x(b) = 7 - 7*b**2 - 1 + j*b + 81*b - 151*b. Determine 6*s(u) - 13*x(u).
u**2 - 2*u
Let j(g) = -11*g + 8220. Let o(a) = -4*a + 2739. Calculate 3*j(l) - 8*o(l).
-l + 2748
Let n(y) = -171*y**3 - 48*y**2. Let k(x) = -170*x**3 - 33*x**2. Determine 3*k(f) - 2*n(f).
-168*f**3 - 3*f**2
Let d(h) = 2*h + 5. Suppose 2*m = 273 + 19. Let q(o) = -o + 147 + 2*o - m. What is d(w) - 3*q(w)?
-w + 2
Let x(r) = -38*r + 4. Let c(y) = 116*y - 12. Let q(t) = 3*c(t) + 8*x(t). Let l(v) = 265*v - 25. Give -4*l(n) + 25*q(n).
40*n
Let z(n) = -6*n. Let b be (-544)/(-136) - (1 + (1 - 1)). Let i(v) = -5*v + 5*v - 4 - b*v + 4. Determine -5*i(s) + 2*z(s).
3*s
Let b(g) = -47*g**3 - 13*g**2 - 6*g + 33. Let t(s) = -24*s**3 - 7*s**2 - 3*s + 13. Give -2*b(j) + 5*t(j).
-26*j**3 - 9*j**2 - 3*j - 1
Let z(q) = q**3 - 22*q**2 - 17*q - 21. Let s(a) = a**3 - 25*a**2 - 16*a - 25. Give -6*s(w) + 7*z(w).
w**3 - 4*w**2 - 23*w + 3
Let d(k) = 15*k**2 - 1166*k + 54. Let q(c) = 7*c**2 - 583*c + 24. What is -4*d(j) + 9*q(j)?
3*j**2 - 583*j
Let s(q) = -q**2 - q + 2. Let u(g) = 77*g**2 - 11*g + 19. Determine -8*s(p) + u(p).
85*p**2 - 3*p + 3
Let q(n) = 11*n**3 - 4*n**2 + 661*n + 2. Let j(u) = 8*u**3 - 3*u**2 + 662*u + 1. What is -4*j(i) + 3*q(i)?
i**3 - 665*i + 2
Let o(j) be the second derivative of -16*j + 1/6*j**4 + 5/6*j**3 - 3/2*j**2 + 0. Let i(f) = -3*f**2 - 6*f + 4. Determine -3*i(y) - 4*o(y).
y**2 - 2*y
Let g(q) = -q + 0 + 3 - 5*q + 0. Let m(v) be the second derivative of -7*v**3/6 + 2*v**2 - 2*v. What is -4*g(w) + 3*m(w)?
3*w
Let w(z) = 3*z**2. Let n(h) = -29*h**3 - 3*h**2 - h - 2. Give -n(p) - w(p).
29*p**3 + p + 2
Let n(s) = 22*s**2 + 4*s - 219. Let u(p) = p**2 + 2*p + 1. What is n(h) - 2*u(h)?
20*h**2 - 221
Let t(j) = -37*j + 14. Let u(c) = -26*c + 11. Let x(s) = -7*t(s) + 10*u(s). Let a(z) = -z + 12. Determine 5*a(v) - 6*x(v).
v - 12
Let q(y) = 15*y - 18. Let v(k) = 6 - 1104349*k - 4 - 3 + 1104350*k. What is -q(f) + 12*v(f)?
-3*f + 6
Let o(g) = 7*g**2 + 15*g - 37. Let t(i) = 10*i**2 + 20*i - 50. Calculate -11*o(k) + 8*t(k).
3*k**2 - 5*k + 7
Let b(n) = -4*n**3 - 4*n + 22. Let x(w) be the second derivative of 17*w**5/20 + 17*w**3/6 - 89*w**2/2 + 143*w - 2. Calculate -9*b(o) - 2*x(o).
2*o**3 + 2*o - 20
Let d(z) = -5*z**2 + 2*z - 6. Let p(i) = -11*i**2 + 5*i - 13. Let y be (-55)/(385/84) - -6. Determine y*p(l) + 13*d(l).
l**2 - 4*l
Let k = 2644 - 2646. Let s be (-2 + 4)/((-6)/21). Let z(c) be the third derivative of c**6/40 - 3*c**2. Let p(a) = -10*a**3 + 1. What is k*p(l) + s*z(l)?
-l**3 - 2
Let z(w) = 539*w - 220. Let s(t) = -t - 5. Determine -44*s(j) + z(j).
583*j
Let g(m) be the second derivative of 4*m**5/5 + m**4/4 + m**3/2 - 1