t n(b) be the third derivative of b**4/24 - b**3/6 + 363*b**2 - 4*b. Calculate -15*n(y) + 3*u(y).
3*y
Suppose 0 = 4*t - 4*s + 20, -34*s + 11 = 5*t - 30*s. Let n(k) = -k - 1. Let f(c) = -c**2 + c + 1. Give t*n(w) + f(w).
-w**2 + 2*w + 2
Let v(d) = 5*d**2 - 4. Let w(a) be the first derivative of 3*a**3 - a**2/2 - 8*a + 1272. What is -5*v(y) + 3*w(y)?
2*y**2 - 3*y - 4
Let s(g) be the third derivative of 15*g**4/8 + 5*g**3/3 - 2*g**2 - 157. Let n(y) = -9*y - 2. Determine -11*n(l) - 2*s(l).
9*l + 2
Let x(r) = 15815*r**3 - 55*r**2 - 55*r - 110. Let i(g) = -1757*g**3 + 6*g**2 + 6*g + 12. Determine -55*i(j) - 6*x(j).
1745*j**3
Let z(l) = 2*l**2 - 8. Suppose 0 = -2*o - 4*k - 12, 6*o + 2*k = 8*o. Let s(n) = -1. Let f(d) = 5. Let i(r) = f(r) + 4*s(r). Calculate o*z(c) - 18*i(c).
-4*c**2 - 2
Suppose 0 = s - 5*d - 16 + 33, 0 = -3*s - 4*d + 6. Let t(m) = 2*m**2 + 2*m - 82 + 4*m**2 + 84. Let b(y) = 7*y**2 + 3*y + 3. What is s*b(g) + 3*t(g)?
4*g**2
Let d(u) = 1905*u**2 - 12*u + 16. Let w(z) = -8147686*z**2 + 51327*z - 68436. Determine 17109*d(j) + 4*w(j).
1901*j**2
Let s(x) = -15*x**2 - 22*x + 30. Let k(w) = 14*w**2 + 15*w - 31. What is -4*k(r) - 3*s(r)?
-11*r**2 + 6*r + 34
Let v(r) = 1. Suppose 0 = 13*o + 14 - 1. Let p(z) = 2*z + 12. Let w be p(-5). Let d(q) = -q - q**2 - 5*q**2 + 7 + 4*q**2 + 0*q**w. What is o*d(y) + 5*v(y)?
2*y**2 + y - 2
Let v(n) = 13*n**2 + 1120*n + 19. Let r(s) = 3*s**2 + 4. Determine 5*r(h) - v(h).
2*h**2 - 1120*h + 1
Let n(y) = 73*y. Let m(a) = -95*a - 3. What is -m(d) - 3*n(d)?
-124*d + 3
Let m(j) = -j + 1. Let z(n) = -n + 2. Let s be 1/(-4) - 5/(-4). Suppose -4*v + 5*w = -1100, 3*v = 7*v - 2*w - 1100. Let q = -274 + v. Determine q*m(x) + s*z(x).
-2*x + 3
Let u(k) = -691*k - 11. Let f(n) = 3444*n + 57. Determine 2*f(j) + 11*u(j).
-713*j - 7
Let t(d) = 5. Let c(i) = -18*i - 17. Let o be c(-1). Let l be (7 + -8)*-5*o. Let m(s) = -s + 4. Give l*m(b) - 4*t(b).
-5*b
Let b(n) = -14*n + 5. Let y(a) = 29*a - 10. Let u(r) = -5*b(r) - 3*y(r). Let q(f) = -408*f + 119. What is -5*q(h) + 119*u(h)?
17*h
Let g(q) = 21*q + 1648. Let v(x) = 3*x + 206. What is -2*g(f) + 17*v(f)?
9*f + 206
Let d(k) = -k - k**2 + 4*k**2 + 3 - 1 - k**3. Let i(o) be the second derivative of -o**5/20 + o**3/6 - o**2/2 - 22907*o. Calculate d(z) + i(z).
-2*z**3 + 3*z**2 + 1
Let q(x) = 10*x - 3. Let h be 7 - 0 - (-2 + 4). Let k(c) = -2*c + 11*c + 11363 - 11365. Determine h*k(z) - 4*q(z).
5*z + 2
Suppose 19 = -z + 3*x, 6 = z + 2*x - 0*x. Suppose 3 = -2*r + 1. Let j(t) = t**2 + 17*t - 12*t - 9*t + 3. Let w(b) = b**2 + b - 1. Calculate r*j(q) + z*w(q).
-5*q**2 + 1
Let b(t) = -77*t**2 + 27*t + 9. Let v(l) = 39*l**2 - 14*l - 5. Calculate -6*b(c) - 11*v(c).
33*c**2 - 8*c + 1
Let r = 266 - 263. Suppose r*v - 4*g = 14, -2*v + 22 = -g + 21. Let q(h) = -4*h + 1. Let d(n) = -5*n + 2. What is v*d(a) + 3*q(a)?
-2*a - 1
Let m be ((-12)/8)/(3/(-46)). Suppose 2*r + 11 = t, 4*r - 4 = t - m. Suppose 2 = -t*f + 11. Let b(d) = 2*d - 1. Let w(j) = 2*j. Give f*w(n) - 2*b(n).
2*n + 2
Let q(b) = 5*b**3 + 5*b**2 - 98*b + 459. Let c(h) = -2*h**3 - 2*h**2 + 37*h - 173. Determine -21*c(v) - 8*q(v).
2*v**3 + 2*v**2 + 7*v - 39
Let i(x) = 4*x + 77*x**3 - 124*x**3 - 8*x**2 + 4*x**2 + 0*x**2. Let s(u) = 141*u**3 + 11*u**2 - 11*u. What is 11*i(d) + 4*s(d)?
47*d**3
Let t(c) = 2*c**2 + 17*c - 47. Let p(n) = 6*n**2 + 49*n - 134. What is -4*p(u) + 11*t(u)?
-2*u**2 - 9*u + 19
Let y(t) = -8229*t + 81. Let u(p) = -4116*p + 35. Calculate -7*u(c) + 3*y(c).
4125*c - 2
Let w(z) = 57*z**2 - 4*z. Let f(n) = -n**2 + n. Suppose 0 = 6570*s - 3290*s - 3284*s + 16. Give s*f(p) + w(p).
53*p**2
Let q(s) = 105*s**3 + 9*s + 19. Let p(u) = -53*u**3 - 5*u - 9. Give 11*p(g) + 6*q(g).
47*g**3 - g + 15
Let b(n) = 194*n**2 + 10*n - 23. Let q(i) = -774*i**2 - 45*i + 92. Give 9*b(y) + 2*q(y).
198*y**2 - 23
Let h(a) = 4*a**2 - 2*a - 4. Suppose -f - 15 + 4 = 0. Let k(s) = 2*s**2 - s - 2. Let c = 56467 - 56461. Calculate c*h(o) + f*k(o).
2*o**2 - o - 2
Let u(j) = 112*j - 244*j + 108*j. Let r(q) = 40*q - 38*q - 3*q. Determine 15*r(z) - u(z).
9*z
Let o(d) = 54292*d**2 - 35*d - 35. Let r(q) = 4525*q**2 - 3*q - 3. Give -3*o(c) + 35*r(c).
-4501*c**2
Let o(f) be the first derivative of -47*f**3/3 - 3*f**2/2 + 1998. Let c(b) = -b. Calculate 3*c(s) - o(s).
47*s**2
Let w(z) = 12*z. Let r(l) = -129*l - 18. Let x(g) = -127*g - 27. Let m(a) = -3*r(a) + 2*x(a). Suppose c - 17 + 12 = 0. Give c*m(q) - 56*w(q).
-7*q
Let y(d) = 26*d - 6 - 41*d + 13*d. Let t(c) = -2*c - 5. What is -4*t(s) + 3*y(s)?
2*s + 2
Let m(c) = c - 1. Let f(s) = -5*s - 8. Suppose -3*q - 72 = 3*l, -4*l - 41*q = -40*q + 78. What is l*m(z) + 2*f(z)?
-28*z + 2
Let m(x) = -x**2 - x. Let a(r) be the first derivative of 4*r**3/3 + r**2 - 2*r + 1. Let c(l) = l**2 - 171*l + 4559. Let q be c(33). What is q*m(t) + a(t)?
-t**2 - 3*t - 2
Let n(z) = 210*z + 307. Let a(v) = -2730*v - 4035. Let l(p) = -3*a(p) - 40*n(p). Let h(q) = q + 1. Give -175*h(i) - l(i).
35*i
Let o(t) = 3*t**2 + 4*t - 8. Let q(v) = 8*v**2 + 12*v - 20. Let m(g) = -5*o(g) + 2*q(g). Let p(w) = w**2 + w + 1. What is -m(f) + 2*p(f)?
f**2 - 2*f + 2
Let s(i) = -i + 7. Let j(c) = -145*c**2 - 24*c + 52. Determine j(k) - 7*s(k).
-145*k**2 - 17*k + 3
Let g(x) = x - 1. Let h(u) = 7*u**2 - 42*u + 42. Let s(p) = 2*p**3 + 17*p**2 - 87*p - 10. Let o be s(4). What is o*g(w) + h(w)?
7*w**2
Let r(c) be the second derivative of c**5/10 + c**4/6 + c**2/2 + 64975*c. Let p(v) = -6*v**3 - 6*v**2 - 4. Let t be (0 - (-14)/3)*-3. Calculate t*r(k) - 5*p(k).
2*k**3 + 2*k**2 + 6
Let g = 39 - -25. Suppose -2*c + 134 = 5*k, -3*c + g - 188 = -5*k. Let f(v) = 5 - k + 11*v + 10*v. Let a(d) = 4*d - 4. Calculate -11*a(z) + 2*f(z).
-2*z + 2
Let s(c) = -c - 6. Let r(n) = n**2 - 1655*n - 60. What is r(b) - 10*s(b)?
b**2 - 1645*b
Let c(u) = -8*u**2 - 13*u + 39. Let m(x) = 2*x**2 + 3*x. Give -c(l) - 3*m(l).
2*l**2 + 4*l - 39
Let w(v) = 3*v**2 + 5*v + 5. Let q(y) = y**2 + 2*y + 2. Let t be (3 - 0) + -9 - -10. Suppose f + 14 = t*n, -14 = -3*n - 4*f + 6. Give n*w(c) - 10*q(c).
2*c**2
Let h(p) = -21*p**2 + 338*p - 2. Let k(a) = -24*a**2 + 341*a - 3. Calculate 3*h(v) - 2*k(v).
-15*v**2 + 332*v
Let s = -12865 - -12814. Let r(c) = -4*c**3 + 2*c - 2. Let h(b) = -31*b**3 + 17*b - 17. Calculate s*r(d) + 6*h(d).
18*d**3
Let l(n) = 24*n**2 + 49*n - 49. Let h(g) = 462*g**2 + 980*g - 980. Let q(a) = 6*h(a) - 119*l(a). Let j(v) = 7*v**2 - 4*v + 4. Give -49*j(p) - 4*q(p).
-7*p**2
Let w(j) = 9*j**3 + 147*j**2 - 23*j - 54. Let v(g) = -4*g**3 - 70*g**2 + 12*g + 25. Determine -13*v(q) - 6*w(q).
-2*q**3 + 28*q**2 - 18*q - 1
Let t(j) = 421*j - 12. Let f(d) = 207*d - 5. Give -7*f(p) + 3*t(p).
-186*p - 1
Let f = 0 - -5. Let h(m) be the second derivative of m**4/2 - 5*m**3/6 - 7*m**2 - 2*m + 1242. Let x(c) = 4*c**2 - 3*c - 9. What is f*h(j) - 8*x(j)?
-2*j**2 - j + 2
Let p(q) = -48*q**2 + 1484*q + 55. Let z(l) = 10*l**2 - 297*l - 10. What is 2*p(g) + 11*z(g)?
14*g**2 - 299*g
Let q(r) = 6*r - 268. Let v(n) = 19*n - 797. Determine 10*q(y) - 3*v(y).
3*y - 289
Let t(g) = -14*g - 962. Let p be t(-69). Suppose -q + 10 = -7. Suppose p*r + q = 13. Let u(w) = w. Let z(s) = -5*s + 2. Determine r*z(a) - 4*u(a).
a - 2
Let f(y) = -y - 3. Let l(b) = -b - 3. Suppose -56*u + 63 = -35*u. Determine u*l(v) - 2*f(v).
-v - 3
Let y(a) = 6*a + 2. Let g(m) = -15*m - 1. Determine 3*g(v) - y(v).
-51*v - 5
Let c(a) = 18*a + 9. Let d(z) = 85*z + 36. Let l(q) = 4*c(q) - d(q). Let i(g) = -13*g. Calculate 5*i(o) - 4*l(o).
-13*o
Let g(k) = -11*k - 3*k**3 + k**3 - 3 - 4*k + 17*k. Let r(m) = 7*m - 6*m - 2 + 2. Suppose j - 2*z = -j - 10, 2*z = 6. Determine j*r(d) + g(d).
-2*d**3 - 3
Let s(a) = a**2 + 1. Let j(w) be the first derivative of 12*w**3 + 27*w - 1. Let v be (-55)/(-33)*(10 - 583/55). Calculate v*j(q) + 27*s(q).
-9*q**2
Let c(o) = -121*o - 3 + 33*o + 93*o. Let i(a) = -5*a + 4. Suppose 4*f + 5 = -m + f, -4*m - 4*f = -4. Determine m*c(k) + 3*i(k).
5*k
Let o(u) = 3*u**3 - 6*u**2 + 5*u + 4. Let h(a) = -4*a**3 + 7*a**2 - 6*a - 5. Suppose 2*s = q + 8, -9*s + 11 = -6*s - 2*q. Calculate s*o(m) + 4*h(m).
-m**3 - 2*m**2 + m
Let f(a) = 50*a**2 - 26*a - 14. Let z(k) = k**2 + 5*k + 1. Calculate f(p) + 5*z(p).
55*p**2 - p - 9
Let a(q) = -17 + 43 + 10*q + 0 - 13 - 4 - 4. Let r(m) = -m**2 - 7*m - 1. Let t be r(-6). Let l(x) = -10*x 