a).
a
Let w be (396/(-55))/(-6)*20/(-6). Suppose 4*q = -2*p + 8, 6 + 8 = 2*p + q. Let g(h) = -2 + 0 + 1 - p*h + 2. Let l(b) = -3*b. Determine w*g(t) + 11*l(t).
-t - 4
Let i = -3975 - -3980. Let n(c) = -32*c**3 - 2*c**2 - 2. Let m(y) = 64*y**3 + 5*y**2 + 5. Determine i*n(f) + 2*m(f).
-32*f**3
Let z(b) = 127524*b**2 - 148*b + 222. Let o(a) = 5101*a**2 - 6*a + 9. Give 148*o(y) - 6*z(y).
-10196*y**2
Let s(t) = t**2 + t + 1. Let n(p) = 3*p**2 - 8*p + 5. Suppose 5*f = 10, 5*i + 39*f - 37*f = -16. Calculate i*s(g) + n(g).
-g**2 - 12*g + 1
Let g(y) = 35*y - 6. Let q(a) = -33 + 95*a - 45 - 66*a + 13 + 356*a. Calculate 65*g(v) - 6*q(v).
-35*v
Let l(h) = 2*h + h + 6*h - 9. Let m(u) = u - 1. Suppose 5*j + 6118*b = 6121*b - 32, -3*b + 12 = 0. What is j*l(z) + 33*m(z)?
-3*z + 3
Let f(r) = 5. Let q(n) = n + 6. Suppose 0 = -5*d + p + 13, 4*p = -3*d - 150 + 144. What is d*f(c) - 3*q(c)?
-3*c - 8
Let c(q) = -57*q**2 - 7*q + 4. Let s(b) = 49*b**2 + 6*b - 3. Calculate -6*c(i) - 7*s(i).
-i**2 - 3
Let i(b) be the third derivative of b**4/24 + 2*b**2 - b + 232. Let q(h) be the third derivative of h**5/15 - h**4/6 - 5*h**2. What is -8*i(n) - 2*q(n)?
-8*n**2
Let b(n) = -8*n + 7. Let o(i) = 12*i - 3. Let z(j) = 177*j - 49. Let u(w) = 14*o(w) - z(w). Determine -7*b(a) + 6*u(a).
2*a - 7
Let w(i) = 0*i + 3*i + 1329*i**2 - 1353*i**2 + 0*i. Let c(x) = 47*x**2 - 5*x. What is 3*c(l) + 5*w(l)?
21*l**2
Let k(t) = t**3 + 11*t**2 + 26*t + 3. Let g be k(-3). Let h(y) = -y. Let u(s) = 12*s - 11*s - s**2 + 0*s**2 - s**3. Calculate g*h(c) + u(c).
-c**3 - c**2 + 4*c
Let x(g) = -3*g**2 + 5*g. Suppose -2*a - 115 + 66 = -3*i, -3*i - 5*a + 14 = 0. Let p(l) = -6*l**2 + 11*l. Let b be 40/(-7) - 4/14. Determine b*p(v) + i*x(v).
-3*v**2 - v
Let n(u) = -u**2 + 6*u - 14. Let x be n(4). Let h(y) = 5. Let a = -19 + 89. Let d = a + -75. Let g(v) = v**2 - 6. Calculate d*g(r) + x*h(r).
-5*r**2
Let t(c) = 154*c + 104. Let l(f) = -62*f - 43. Let k(w) = -12*l(w) - 5*t(w). Let x(i) = 27*i + 5. Give 5*k(s) + 4*x(s).
-22*s
Let h(k) = 74*k**2 + 17*k + 3. Let p(v) = -73*v**2 - 25*v - 4. Calculate -3*h(f) - 2*p(f).
-76*f**2 - f - 1
Let l(k) = 54*k**2 + 93*k - 51. Let m(h) = 323*h**2 + 527*h - 305. Calculate -17*l(g) + 3*m(g).
51*g**2 - 48
Let l(z) = -3344*z**3 - 5*z - 5. Let s(x) = -310996*x**3 - 464*x - 464. Calculate 464*l(w) - 5*s(w).
3364*w**3
Let d(a) = -2*a - 176. Let p(b) = b + 62. What is 2*d(y) + 7*p(y)?
3*y + 82
Let b(x) = 545*x**2 - 148*x. Let c(f) = 2727*f**2 - 739*f. Let o(a) = 14*b(a) - 3*c(a). Let k(y) = -23*y**2 + 6*y. What is 145*k(v) - 6*o(v)?
-29*v**2
Let b(w) = 3 + 1 - 6*w**2 + 857*w**3 + 4*w**2 - 856*w**3. Let i(l) = 2*l**3 - 4*l**2 + 9. Calculate 5*b(c) - 3*i(c).
-c**3 + 2*c**2 - 7
Let t(i) = -7*i - 1. Let c be t(-1). Let x(n) be the first derivative of 7*n**2/2 + 7*n - 1834. Let q(p) = 8*p + 8. What is c*q(s) - 7*x(s)?
-s - 1
Let f(b) = 11*b**3 + 8*b**2 + 8*b - 8. Let p(n) = 4*n**3 + 3*n**2 + 3*n - 3. Let i = 280 - 393. Let k = i - -116. Determine k*f(w) - 8*p(w).
w**3
Suppose -40 = -3*l - 4*q, 5*l = 6*l - 5*q + 12. Suppose 202 = -l*w - 230. Let o(g) = -3*g - 27. Let h(d) = 1. Give w*h(n) - 2*o(n).
6*n
Let l(o) = 11*o**3 - 5*o**2 + 5*o + 5. Let h = -154 + 224. Let s = -58 + h. Let v(t) = -28*t**3 + 12*t**2 - 12*t - 12. What is s*l(c) + 5*v(c)?
-8*c**3
Let j(c) = 159*c**3 - 2*c**2 - 2*c - 7. Let h(t) = -796*t**3 + 11*t**2 + 11*t + 40. Determine 2*h(m) + 11*j(m).
157*m**3 + 3
Let n be (-9 - -4)/(1/(-8)). Let p(i) = -3 + n*i - 22*i - 20*i. Let y(t) = -3*t - 5. Determine 8*p(k) - 5*y(k).
-k + 1
Let q(i) = i - 4. Let o(z) = -4*z - 19 + 15 + z + 9. Let g(k) = o(k) + 2*q(k). Let l(s) = s + 2. Give 3*g(u) + 5*l(u).
2*u + 1
Let m(x) be the second derivative of 0 - 1/2*x**2 + 1/6*x**4 - 20*x + 1/6*x**3. Let u(s) = 5*s**2 + 3*s - 2. Determine -11*m(t) + 4*u(t).
-2*t**2 + t + 3
Let q(g) be the third derivative of -g**4/4 - g**3/3 - 2*g**2. Let w(s) = 13*s + 4. Suppose 150 = 48*a + 2*a. Calculate a*w(j) + 7*q(j).
-3*j - 2
Suppose 167*c - 212*c = 360. Let t(h) = 5*h**3 + 7*h**2 + 3. Let i(b) = 14*b**3 + 20*b**2 - b + 8. Give c*t(u) + 3*i(u).
2*u**3 + 4*u**2 - 3*u
Let d(s) be the second derivative of 4*s**3/3 + s**2 + 909*s. Suppose -4*k = 2*o + 7 + 5, 2*o = -2*k - 4. Let p(a) = -23*a - 6. What is k*p(v) - 11*d(v)?
4*v + 2
Suppose 3*g + 31*g = 3060. Let i(s) = -g*s - 13*s**2 + 49*s + 46*s. Let v(t) = -4*t**2 + 2*t. Calculate 2*i(z) - 7*v(z).
2*z**2 - 4*z
Let h(u) = 255*u**3 + 13*u**2 - 62*u - 9. Let r(l) = 170*l**3 + 9*l**2 - 43*l - 6. What is 9*h(b) - 13*r(b)?
85*b**3 + b - 3
Let j(s) = 5*s**2 - 192*s. Let k(v) = -13*v**2 + 385*v. Give -11*j(w) - 5*k(w).
10*w**2 + 187*w
Let o(c) = 33*c**2 - c + 53. Let f(a) = 6*a**2 + 2. Calculate 5*f(h) - o(h).
-3*h**2 + h - 43
Let f(o) = -1. Let m(u) = u - 1. Let x = -15386 + 15385. What is x*m(n) + 6*f(n)?
-n - 5
Suppose 20*n + 21 = -n. Let u(z) = 11 - 13 + 1. Let m(s) = s + 2. Give n*m(t) + 2*u(t).
-t - 4
Suppose -779 = -5*f + 241. Let m = f - 209. Let h(y) = -15*y + 3. Let o(i) = -7*i + 1. What is m*o(l) + 2*h(l)?
5*l + 1
Let i(v) = 10*v + 39. Let b(a) = 11*a + 148. Let w(m) = -15*m - 195. Let x(h) = 13*b(h) + 10*w(h). Determine 5*i(c) + 7*x(c).
c + 13
Let y(m) = -m. Let h(p) be the first derivative of 9*p**3 - 45*p**2/2 + 7072. Calculate -2*h(z) + 90*y(z).
-54*z**2
Suppose 0 = -5*c + 2*v + 6, 0 = 4*c - c + 5*v - 16. Let d be (-77)/(-27 - -16) + -25. Let p(a) = -a + 1. Let q(l) = -4*l + 9. Give c*q(x) + d*p(x).
10*x
Let c(p) = -p**3 - p**2 - 1. Let f = -11555 + 11559. Let x(y) = 6*y**3 + y**2 - 6*y + 4. Give f*c(o) + x(o).
2*o**3 - 3*o**2 - 6*o
Let x = 3056 + -3050. Let z(q) = -9*q**2 + 7*q + 6. Let o(f) = 8*f**2 - 6*f - 5. Calculate x*o(u) + 5*z(u).
3*u**2 - u
Let g(m) = m**2 + 5. Let z(o) = o**2 + 9. Suppose -21*i - 17*i = 55*i - 465. Give i*g(l) - 2*z(l).
3*l**2 + 7
Let y(b) = 1. Let s(x) be the third derivative of 11*x**4/24 + x**3/2 + x**2 + 164. What is 2*s(l) - 6*y(l)?
22*l
Let j(b) = 6*b**2 - 22*b + 74727. Let v(z) = -z**2 + 4*z - 14943. Give 2*j(s) + 11*v(s).
s**2 - 14919
Let f(m) be the second derivative of -3*m**5/10 + m**4/2 - 5*m**3/6 - m**2/2 - 383*m. Let l(x) = -5*x**3 + 5*x**2 - 5*x - 1. Determine 6*f(k) - 7*l(k).
-k**3 + k**2 + 5*k + 1
Let m(a) = -6*a + 13*a - 26*a**2 - 57 + 33 - 10*a**3 + 24. Let w(k) = 3*k**3 + 9*k**2 - 2*k. Determine -2*m(t) - 7*w(t).
-t**3 - 11*t**2
Let g(f) = 2*f - 3. Suppose 29*d = 25*d - 100*d + 208. Let o(k) = k - 1. Determine d*o(m) + g(m).
4*m - 5
Let p(o) = 12*o + 2. Let l(q) = -4311*q + 7. What is -l(b) + 4*p(b)?
4359*b + 1
Suppose 3*y + 19 = 7. Let i = y - -3. Let m(u) = -u**2 + 1. Let j(z) be the first derivative of z**2/2 - z - 1139. Give i*j(x) + 2*m(x).
-2*x**2 - x + 3
Let a(u) = 1577*u**2 + 20*u + 14. Let p(w) = w**2 + 3*w + 2. Calculate 2*a(b) - 14*p(b).
3140*b**2 - 2*b
Let n = -9 + 5. Let j be (-24)/(-9)*(-9)/n. Let q(r) = -15*r**2 + 11*r + 9. Let f(t) = 1 + 8 - 4 + 6*t - 8*t**2. Give j*q(u) - 11*f(u).
-2*u**2 - 1
Let g(o) = 5*o**2 + 3*o + 3. Let n(q) = q**2 + q + 1. Suppose 15 = 5*x, -126 = -4*i - 2*x + 40. Let c = 7 + -53. Let r = c + i. Calculate r*n(l) + 2*g(l).
4*l**2
Let c be 12/(1 + (-10 - -19) + -12). Let y(z) = 1. Let m(h) = h - 6. Let g be m(7). Let s(v) = v + 3. Give c*y(n) + g*s(n).
n - 3
Let q(h) = 99*h**2 - 4*h - 9. Let n(a) = -196*a**2 + 9*a + 22. Give -2*n(f) - 5*q(f).
-103*f**2 + 2*f + 1
Let v(s) = -7*s**2 - 4*s + 4. Let d be 29/(2755/76) + (-66)/(-5). Let n(i) be the first derivative of -8/3*i**3 + 5*i - 5/2*i**2 - d. Calculate 6*n(w) - 7*v(w).
w**2 - 2*w + 2
Let x(y) = -3*y + 1. Let s(v) = 5*v + 1812. Determine s(t) + x(t).
2*t + 1813
Suppose -l - k - 478 = 4*l, l = k - 92. Let w = -103 - l. Let p(a) = 2*a**2 - 2*a + 3. Let j(m) = -5*m**2 + 6*m - 8. Let v = 1 + -4. Give v*j(y) + w*p(y).
-y**2 - 2*y
Let a = -1798 + 1799. Let u = 25 + -30. Let v(g) = -g**2 + g. Let d(w) = -7*w**2 + 7*w - 3. Determine a*d(t) + u*v(t).
-2*t**2 + 2*t - 3
Let q(z) = z**3 - z**2 + 1. Suppose 3*b = -9*b + 900. Let c(o) = o**3 + 4*o**2 + 37 - b + 34. Calculate c(i) + 4*q(i).
5*i**3
Let i(n) = -5*n + 111. Let j(f) = -8*f + 221. Determine -5*i(v) + 3*j(v).
v + 108
Suppose -7604 + 7597 = 7*r. Let s(b) = -1. Let w(v) = -3*v + 3. Give r*w(l) - 9*s(l).
3*l + 6
Let j(m) = -58*m + 3795. Let t(w) = 36*w - 2530. Determi