w) + 20*v(w)?
-8*w - 4
Let j(t) be the second derivative of t**5/5 + 3*t**4/4 - 3*t**2 + 40*t. Let b(l) = -11*l**3 - 26*l**2 + 17. Determine 6*b(d) + 17*j(d).
2*d**3 - 3*d**2
Let f(y) = 787*y - 392*y - 2*y**2 - 393*y - 4*y**2 + 1. Let i(v) = v**3 + 12*v**2 - 5*v - 3. Give -5*f(g) - 2*i(g).
-2*g**3 + 6*g**2 + 1
Let u(a) = 262*a + 1. Let y(g) = 2*g. Determine 2*u(s) + 10*y(s).
544*s + 2
Let d = 615 + -610. Let p(m) = -4*m**3 + 2*m**2 + 2. Let q(t) = 9*t**3 - 5*t**2 + t - 5. Calculate d*p(x) + 2*q(x).
-2*x**3 + 2*x
Let j(l) = l + 2. Let o(p) = p**2 + p - 2*p - 3 + 4. Suppose c - 75 = -5*d - 70, 5*d + 4*c - 5 = 0. Calculate d*j(a) - 2*o(a).
-2*a**2 + 3*a
Let q(j) = j + 1. Let v(r) = -3 - 1 + r - 2 + 8 + r**2. Let i = -1503 - -1501. Give i*v(p) + 3*q(p).
-2*p**2 + p - 1
Let w(d) = 3*d**2 - 4*d - 1. Let m(x) be the first derivative of 4*x**3/3 - 5*x**2/2 - x + 267. Calculate 5*m(p) - 6*w(p).
2*p**2 - p + 1
Let b(f) = f**3 - 16*f**2 - 18*f + 24. Let t be b(17). Let q(z) = 8*z**2 - 3*z + 5. Let c(j) = -4*j**2 + 2*j - 3. Determine t*c(s) + 4*q(s).
4*s**2 + 2*s - 1
Let r(i) = -4*i - 7. Let a(u) = -u**2 + 6*u + 2. Suppose 7 = -h - 12. Let y = -12 - h. Let k be a(y). Let c(x) = x + 1. Give k*c(b) - r(b).
-b + 2
Let n(m) = -12*m**3 - 5*m**2 + 3*m + 7. Let a(y) = -35*y**3 - 15*y**2 + 8*y + 19. Give -4*a(i) + 11*n(i).
8*i**3 + 5*i**2 + i + 1
Let s(r) = r**3 - 39*r - 7. Let n(i) = i - 1. What is -5*n(g) + s(g)?
g**3 - 44*g - 2
Let z be (63/(-6))/(6/4). Let f(s) = -11*s**2 + 3*s + 9. Let a(x) = 5*x**2 - x - 4. What is z*a(t) - 3*f(t)?
-2*t**2 - 2*t + 1
Let p(d) = 12*d**2 - 7. Let x(b) = -6*b**2 + 4. Let v be 6*(-3)/(-2)*33/(-99). Calculate v*p(t) - 5*x(t).
-6*t**2 + 1
Let c(b) = -b**3 - 5*b**2. Let h be (-1710)/(-48) + (-6)/(-16). Let s = h + -9. Let q = 20 - s. Let o(k) = 4*k**3 + 16*k**2. Give q*c(p) - 2*o(p).
-p**3 + 3*p**2
Let i(s) = -2*s**2 - 5*s - 2. Let o(z) = -8*z**2 - 39*z - 15. Let t(b) = -8*b**2 - 42*b - 16. Let x(n) = -7*o(n) + 6*t(n). Calculate -9*i(p) - 2*x(p).
2*p**2 + 3*p
Let x(v) = 2*v + 4. Let t(z) = -101*z - z**3 - 93*z + 192*z - 5. Give -3*t(y) - 4*x(y).
3*y**3 - 2*y - 1
Let y(z) = -27*z + 155. Let g be y(6). Let u(w) = 2*w**3 - 5*w**2 + 5. Let b(n) = 3*n**3 - 7*n**2 + 7. Determine g*u(h) + 5*b(h).
h**3
Let y(p) = -3*p - 2. Let b(w) = 7*w + 28. Give b(k) + 2*y(k).
k + 24
Let x(s) = -4*s + 10. Let b(w) = 15*w - 39. Determine 2*b(z) + 9*x(z).
-6*z + 12
Let w(i) = -21*i**3 + 11*i**2 + 11*i - 15. Let g(a) = 11*a**3 - 6*a**2 - 6*a + 8. What is -11*g(j) - 6*w(j)?
5*j**3 + 2
Let u(n) = -9*n**2 - 8*n + 5. Suppose -12*x + 4*x = 48. Let s(o) = 8*o**2 + 7*o - 5. Give x*u(i) - 7*s(i).
-2*i**2 - i + 5
Let d = -155 - -147. Let q(k) = 20*k**2 + 8*k + 8. Let j(i) = -13*i**2 - 5*i - 5. Give d*j(y) - 5*q(y).
4*y**2
Let o = -273 + 387. Suppose -l + o = l. Let k(z) = 7*z - 3*z - 67*z**3 - 3*z**2 + l*z**3 + 7. Let g(f) = 3*f**3 + f**2 - f - 2. What is -7*g(a) - 2*k(a)?
-a**3 - a**2 - a
Suppose 33*s - 52 = 20*s. Let w(f) = 3*f - 6. Let b(d) = -7 + 3 - 3 + 4*d. What is s*b(h) - 5*w(h)?
h + 2
Let m(o) = -87*o + o**2 + 33*o + 54*o. Let y(v) = -10*v**2 + 2*v. Give 4*m(g) - y(g).
14*g**2 - 2*g
Let r = 106 + -108. Let y(v) = -v**3 - 2*v**2. Let c(i) = -3*i**3 - 9*i**2. Give r*c(k) + 9*y(k).
-3*k**3
Let j(s) = s + 1. Let n(x) = 8*x + 17. Let w(c) = -6*j(c) + n(c). Let a(i) = -3*i - 25. Let h(u) = u + 11. Let o(b) = 2*a(b) + 3*h(b). Give 5*o(q) + 8*w(q).
q + 3
Let y = -2 + 7. Let v be 12*((-5)/10)/1. Let l(h) = -3*h - 4. Let p(x) = -3*x - 5. Determine v*l(r) + y*p(r).
3*r - 1
Let x(l) = -7*l**2 + 2*l + 2. Let q(i) = -45*i**2 + 32*i + 32. Let a(g) = 15*g**2 - 11*g - 11. Let v(s) = 17*a(s) + 6*q(s). Calculate 6*v(u) - 15*x(u).
15*u**2
Let u(b) = -6*b - 4. Let i be (2 - (-2430)/(-342)) + 4/38. Let a(t) = -t - 1. Give i*a(q) + u(q).
-q + 1
Let p(i) = 2*i - 3*i - 2*i**2 - 1 + 0*i - 2*i. Let g(o) be the first derivative of -o**3/3 - o**2/2 - 2. Let v = -6 + 9. What is v*g(z) - p(z)?
-z**2 + 1
Let r(n) = 153*n**2 - 5*n. Let u(j) = j**2 + j. Calculate r(c) + 5*u(c).
158*c**2
Let o(g) = g**2. Let y(d) = 86*d**2. Determine -12*o(h) + 2*y(h).
160*h**2
Let s(q) = 28*q + 7. Let d(i) = 9*i + 2. Let p be 12/(-22) - (-15)/(825/(-740)). Give p*d(o) + 4*s(o).
-14*o
Let g(x) = 46. Let c(w) = 25. Let p(o) = 11*c(o) - 6*g(o). Let n(i) = -9*i - 15. Determine -n(l) + 15*p(l).
9*l
Suppose 0 = -8*z + 10*z - 24. Suppose 3*r = -0*r + z. Suppose -r + 0 = -2*t. Let v(d) = -2*d - 2. Let p(m) = m**3 + 11*m + 11. Give t*p(k) + 11*v(k).
2*k**3
Let a(t) = t**2 + 8. Let q(y) = 3*y**2 + 15. Calculate 9*a(u) - 5*q(u).
-6*u**2 - 3
Suppose 22 = 5*j + 7. Let b(m) = -3*m + 2 - 3*m**2 + 8*m + 4*m**2. Let o(i) be the third derivative of i**5/60 + i**4/24 - 11*i**2. Give j*o(z) - b(z).
2*z**2 - 2*z - 2
Let b(v) = -5*v + 18. Let p(r) = 4*r - 4. Let z(c) = -c + 1. Let t(h) = p(h) + 5*z(h). Determine b(g) - 6*t(g).
g + 12
Let t(q) = -6*q**2 + 3 - 4 + 4*q**3 - 5*q**2 + 6*q**2 + 5*q. Let n = -8 + 8. Let r(m) = 1 - 3*m**3 + 4*m**2 + n*m - 4*m + 0. What is 5*r(h) + 4*t(h)?
h**3 + 1
Let w(d) = -3*d + 5. Let s(c) = c - 1 - 4 + 1 + 2. Let y(x) be the second derivative of x**5/20 + x**2 - 3*x. Let n be y(0). Determine n*w(f) + 5*s(f).
-f
Let c(s) be the third derivative of s**6/20 + s**5/30 - s**4/12 - 137*s**2. Let b(d) = 31*d**3 + 11*d**2 - 11*d. What is 2*b(t) - 11*c(t)?
-4*t**3
Let j(k) = k + 1. Let s(v) = 42*v - 8. Give 10*j(n) + s(n).
52*n + 2
Let x(t) = -2*t + 8. Let m(w) = w - 9. Let k be (4*(-6)/(-32))/((-4)/(-16)). What is k*m(r) + 2*x(r)?
-r - 11
Let o(m) = -m**2 + 2*m. Let s(l) = 49*l**3 - 56*l**2 + 112*l. Determine 168*o(f) - 3*s(f).
-147*f**3
Let i(l) be the second derivative of l**4/6 + l**3/2 + l**2 + 51*l + 1. Let p(q) = 2*q**2 + 2*q + 1. Give 3*i(k) - 4*p(k).
-2*k**2 + k + 2
Let v(b) = 83 - b**2 - 11*b - 12*b**2 + 2*b - 76. Let r(o) = 6*o**2 + 4*o - 3. Give 7*r(l) + 3*v(l).
3*l**2 + l
Let h(m) = -4*m + 3. Let r = -233 + 236. Let d(j) = 9 - 20*j - 5 + 12. Calculate r*d(u) - 16*h(u).
4*u
Let l(t) = 3*t. Let z(x) = -2*x. Let m be (-198)/42 - 6/21. Let a = 49 - 52. Give a*l(b) + m*z(b).
b
Let l(h) = -4*h**3 - 2. Let a(b) = -18*b**3 + 5*b**2 - b - 22. Give a(v) - 5*l(v).
2*v**3 + 5*v**2 - v - 12
Let n = 6114 + -1128. Let i(f) = -4986*f - f**2 + f**3 + 1 + n*f. Let z(v) = 5*v**3 - 4*v**2 + 1. What is 4*i(a) - z(a)?
-a**3 + 3
Let h(d) = d**3 + 14*d**2 + 14*d + 22. Let r be h(-13). Suppose 18*z - 15*z = -r. Let w(q) = -3*q - 3. Let x(i) = 3*i + 4. Give z*w(g) - 2*x(g).
3*g + 1
Let t(c) = -14*c**3 - c**2. Let v(m) be the second derivative of -m**5/20 - m**4/12 + 186*m. Give -t(a) + 3*v(a).
11*a**3 - 2*a**2
Suppose 0 = 3*k - 2 - 49. Let o be (-1)/2 - k/(-2). Let s(t) = 3*t**2 - 5*t + 6. Let z(i) = 5*i**2 - 8*i + 9. Calculate o*s(v) - 5*z(v).
-v**2 + 3
Let h(w) = 2*w**2 - 4*w + 2. Let u = -5 - -14. Let y(g) = -16764*g**2 - 9 + 16756*g**2 - 12*g + 29*g. Determine u*h(i) + 2*y(i).
2*i**2 - 2*i
Let s(i) = i + 23. Let h(j) = -j - 15. Let b(l) = 3*h(l) + 2*s(l). Let c(u) = 2*u**2 - 5*u. Give 3*b(z) - c(z).
-2*z**2 + 2*z + 3
Let y(s) = 0*s + 3*s - 4*s + 0 - 6 - 5*s**3. Let c(g) = 6*g**3 + g + 7. What is -3*c(j) - 4*y(j)?
2*j**3 + j + 3
Let a be (30/(-4))/(1/2). Let x = -9 - a. Let i(s) be the second derivative of -s**2/2 - 2*s. Let n(l) = -l - 8. Give x*i(v) - n(v).
v + 2
Let s(m) = m**3 + m**2 - 1. Let q(u) = -7*u**3 + u**2 - 12*u - 1. What is q(r) - s(r)?
-8*r**3 - 12*r
Let b(o) = -6*o + 122. Let f(v) = -7*v + 119. What is 5*b(n) - 4*f(n)?
-2*n + 134
Let j(s) = s**3 - 2*s**2 + 4*s - 6. Let p(v) = v**3 + v + 1. What is j(x) - 2*p(x)?
-x**3 - 2*x**2 + 2*x - 8
Suppose -72 = -18*p - 0. Let o = 12 + -6. Let t(s) = -1 + 5*s - o*s + 4*s + 2*s. Let j(f) = 4*f - 1. What is p*j(w) - 3*t(w)?
w - 1
Let l(i) be the first derivative of i**3/3 + 11*i**2/2 - 2*i + 324. Let c(p) = 5*p - 1. Suppose -2*q + j = 2 - 16, -7 = q + 3*j. Determine q*c(d) - 2*l(d).
-2*d**2 + 3*d - 1
Let x(y) = 9*y - 308. Let r(l) = 4*l - 156. Give 13*r(b) - 6*x(b).
-2*b - 180
Let c(b) = -4 - 194*b**3 + 387*b**3 - 195*b**3. Let q(h) = 2*h**3 + 5. What is 6*c(y) + 7*q(y)?
2*y**3 + 11
Let x(r) = 9*r**3 + 4*r**2 - 56*r - 2. Let t(d) = 2*d**3 + 2*d**2 + d - 1. What is 2*t(s) - x(s)?
-5*s**3 + 58*s
Let h(o) = -o**3 + 3*o - 1. Let j(a) = -2*a**3 + 2*a - 1. What is 