- 5. What is q*a(t) + 3*i(t)?
-3*t**2 - 2*t + 1
Let k(q) be the second derivative of q**3/6 + 3113*q. Let u(i) = -14*i - 3. Give -6*k(m) - u(m).
8*m + 3
Let x(p) = 109*p - 63. Let f(k) = -226*k + 126. Give -6*f(s) - 13*x(s).
-61*s + 63
Let t(b) = -8*b**3 - 2*b**2 - 2. Let w(j) = 24*j**3 + 7*j**2 + 7. Let f(s) = s - 24. Let h be f(15). Let d be (-12)/(-9)*h/6. Give d*w(c) - 7*t(c).
8*c**3
Let l(j) = -j**2 + 40*j + 34. Let m(f) = 2*f**2 - 41*f - 46. Calculate -4*l(d) - 3*m(d).
-2*d**2 - 37*d + 2
Let y(d) = 3 + d - 3. Let h(n) be the first derivative of -5*n**2/2 - 3*n - 86312. Give -h(r) - 6*y(r).
-r + 3
Let b(g) = 42*g**2 + 5. Let v(p) = 4333*p**2 - 56*p + 1036. Let x(f) = -228*f**2 + 3*f - 55. Let j(t) = -3*v(t) - 56*x(t). What is -28*b(l) - 5*j(l)?
-21*l**2
Let j(o) = o**3 + 117*o**2 - 612*o - 243. Let w be j(-122). Let f(k) = 30*k**2 - 1. Let p(x) = x**2 + 1. Give w*p(r) + f(r).
31*r**2
Suppose -5*m = -m - 20. Let y be ((-2)/6)/((-4)/24). Let j(h) = 43*h**y - 3 + 6*h - 49*h**2 - 1. Let w(q) = 7*q**2 - 7*q + 5. Give m*w(d) + 6*j(d).
-d**2 + d + 1
Let j(o) = 1158*o - 414. Let v(r) = 579*r - 191. Calculate -6*j(b) + 13*v(b).
579*b + 1
Let k(o) = 834*o**2 - 10. Let m(z) = 1667*z**2 - 24. Give -5*k(l) + 2*m(l).
-836*l**2 + 2
Let h(d) = -17*d - 21. Let z(o) = -3*o + 1. Let l(t) = -h(t) + 5*z(t). Let w(a) = -a - 12. Let m(v) = 3*l(v) + 7*w(v). Let u(f) = f. What is m(g) + 3*u(g)?
2*g - 6
Let z(y) = y**3 - 59*y**2 + 52*y + 351. Let n be z(58). Let q(i) = 8*i - 4. Let t(b) = -9*b + 5. Calculate n*t(j) + 4*q(j).
5*j - 1
Let w(z) be the second derivative of 2*z**3/3 - 10*z**2 + 2*z. Let r be (-4 - -19)*((-756)/90 - -9). Let a(y) = y - 5. Give r*a(c) - 2*w(c).
c - 5
Let h(f) = -259*f**2 - 6*f + 3. Let q(v) = 258*v**2 + 8*v - 4. Calculate 5*h(y) + 4*q(y).
-263*y**2 + 2*y - 1
Let m(k) = -3*k**3 + 4*k**2 + 3*k. Suppose -3*g = 7 - 1. Let p(r) = r + 162*r**3 + 2*r**2 + 201*r**3 - 535*r**3 + 171*r**3. Give g*m(v) + 5*p(v).
v**3 + 2*v**2 - v
Let h(l) = 4*l**2 + 3*l + 3. Let w(n) = 4*n - 4. Let v be w(3). Let u(f) = f + 59322 + 59324 - 118638 + 12*f**2 + 7*f. Determine v*h(a) - 3*u(a).
-4*a**2
Let q(k) be the third derivative of k**4/8 - k**3/3 + 4*k**2 - 32*k. Let y(v) = v - 1. Determine 5*q(t) - 10*y(t).
5*t
Let d(c) = 21*c**2 - 2*c + 2. Let i(p) = -16460*p**2 - 16*p - 20*p + 57 - 21*p + 17049*p**2. Give -114*d(u) + 4*i(u).
-38*u**2
Let o(f) = 21*f - 283. Let d(y) = 18*y - 282. Determine 6*d(u) - 5*o(u).
3*u - 277
Let w(o) = -19*o - 20. Let l be w(3). Let b = 79 + l. Suppose -10*g = -78 - b. Let v(n) = n. Let y(d) = 3*d + 1. Give g*v(i) - 3*y(i).
-i - 3
Let n(l) = -52*l. Let i(v) be the second derivative of -17*v**3/6 - 18*v - 20. Give 8*i(g) - 3*n(g).
20*g
Let n be ((-2)/4)/(3/6). Let a(t) = -2*t**3 - 2*t**2 + 4. Let r(l) = 1. Let h(c) = 1858*c + 3717. Let b be h(-2). Determine b*a(u) + n*r(u).
-2*u**3 - 2*u**2 + 3
Let i(j) = 1. Let u(q) = -2*q - 5. Let v be ((-9)/(-3) - 0) + 0. Let z(t) = 2*t + 5. Let k(h) = v*z(h) + 4*u(h). Let f = -1116 - -1117. Give f*k(a) + 3*i(a).
-2*a - 2
Let f(r) = 13 - 2 + 6*r**2 + 5*r - 5 - 5. Let c(a) be the second derivative of 7/3*a**3 + 40*a + 17/12*a**4 + 0 + a**2. Calculate -4*c(v) + 11*f(v).
-2*v**2 - v + 3
Let q(m) = -20*m**3 + 11*m**2 + 8*m + 11. Let i(g) be the second derivative of 7*g**5/20 - g**4/3 - g**3/2 - 2*g**2 + 950*g + 1. Calculate 8*i(b) + 3*q(b).
-4*b**3 + b**2 + 1
Let p(l) = l**2 + 4*l + 6. Let g(v) = 3*v**2 + 11*v + 17. Let x = -17 - -6. Suppose 82 - 112 = 5*h, 52 = 4*f - 6*h. Determine f*g(z) + x*p(z).
z**2 + 2
Let t(o) = 4*o**2 + 12*o - 6. Let s(d) = -d - 2. Determine -3*s(m) + t(m).
4*m**2 + 15*m
Let k(h) = -9*h - 518. Let j(z) = -16*z - 1037. Determine 4*j(y) - 7*k(y).
-y - 522
Let w(r) = 9 + 9*r**2 - 3 - 2. Let d(h) = -3619*h**2 - 3*h + 14. Let g(i) = 2404*i**2 + 2*i - 13. Let y(j) = -2*d(j) - 3*g(j). Calculate -11*w(b) + 4*y(b).
5*b**2
Let v(j) = -j**3 + 2*j**2 + 19. Let k(r) = -100*r**3 + 336*r**3 - 76*r**3 - 82*r**3 - 74*r**3 - 75 - 9*r**2. Give 2*k(c) + 9*v(c).
-c**3 + 21
Let p(b) = 2797 - 700 - 95*b - 696 - 701 - 704. Let z(h) = 47*h + 2. Determine 6*p(f) + 11*z(f).
-53*f - 2
Let c(u) = 2305*u + 3. Let d(i) = -2328*i - 2. What is -2*c(r) - 3*d(r)?
2374*r
Let w(s) = -103*s - 22. Let n(f) = 104*f + 29. What is -3*n(h) - 4*w(h)?
100*h + 1
Let v(b) = -4*b**2 + b - 2. Let z = 114 - 94. Suppose -z*y + 13*y - 21 = 0. Let i(w) = -w**2 - 1. Give y*i(a) + v(a).
-a**2 + a + 1
Let n(t) = 93*t**3 + 43*t**2 - 5*t + 15. Let x(p) = 2*p**3 - p + 3. Calculate n(l) - 5*x(l).
83*l**3 + 43*l**2
Let g(v) = 1409*v - 1412*v + 1 + 8 + 0. Let u(h) = -14. Let f(y) = 5. Let i(a) = 8*f(a) + 3*u(a). What is -2*g(k) - 10*i(k)?
6*k + 2
Let s(u) = -25*u**2 + 6. Let c(x) be the first derivative of 76*x**3/3 - 19*x - 2127. Give 6*c(y) + 19*s(y).
-19*y**2
Let u(a) = 3*a**2 - 6*a + 4. Let z = -526 - -528. Let t(m) = -6*m + 2*m**2 + 13*m**z + 3*m**2 + 7 - 13*m**2 - 5*m. Calculate -4*t(j) + 7*u(j).
j**2 + 2*j
Let i = -8452 + 8465. Let l(b) = 65*b - 6. Let u(t) = -129*t + 13. Determine i*l(y) + 6*u(y).
71*y
Suppose -3*b = 2*t + 3, 42*t - 37*t = 2*b + 40. Let p(z) = -z**3 + 5*z**2 - 7. Let y(a) = a**3 - 2*a**2 + 3. Give t*p(k) + 14*y(k).
8*k**3 + 2*k**2
Let y(u) = 3*u**2 - 4. Let m = -24 - -27. Suppose 2*b = -b - m. Let f be (-1 - 2) + b + 9. Let w(k) = 3*k**2 - 5. Give f*y(o) - 4*w(o).
3*o**2
Suppose s + 82 = 84. Let m(o) = -169*o + 87*o + o**2 - 1 - 4 + 80*o + s*o**3. Let c(r) = -r**3 + r + 3. What is 5*c(k) + 3*m(k)?
k**3 + 3*k**2 - k
Let l(f) = f - 16. Let r(q) = 5. Let a(j) = -1. Let c(v) = 3*a(v) + r(v). Suppose 0*d + 2*d - 10 = x, 5*x = 4*d - 74. Determine x*c(u) - 2*l(u).
-2*u - 4
Let v(p) = -2*p**3 - 33*p + 4. Let c be 8*2718/2448 - (-8)/68. Let u(i) = i**3 + 16*i - 2. What is c*u(l) + 4*v(l)?
l**3 + 12*l - 2
Let v(f) = -6*f + 1195. Let m(a) = -11*a + 2381. Calculate -4*m(s) + 7*v(s).
2*s - 1159
Let f(z) = -7*z**2 + 3*z. Let m(s) = -9*s**2 + 5*s + 17. Let k(v) = -7*v**2 + 4*v + 13. Let n(l) = 4*k(l) - 3*m(l). What is f(t) - 3*n(t)?
-4*t**2 - 3
Let h(m) = 10*m - 12. Let s be 0 - (4/(-8))/((-2)/(-16)). Let w(a) = 10*a - 10. Let g(t) = s*w(t) - 5*h(t). Let b(p) = 3*p - 7. Give -7*b(l) - 2*g(l).
-l + 9
Suppose 77*a - 102 + 25 = 0. Let r(x) = x - 1. Let v(t) = 8*t. What is a*v(h) - 2*r(h)?
6*h + 2
Let v(y) = 32*y**2 - 9*y + 18. Let n(h) = 63*h**2 - 20*h + 37. Determine 4*n(r) - 9*v(r).
-36*r**2 + r - 14
Let s(h) = h + 7. Suppose -13*p - 2*p = -14*p - 1. Let x(q) = -1. Let j = -3 - -2. Determine j*x(f) + p*s(f).
f + 8
Let w(y) = 2*y**2 - y + 2. Suppose 0 = -10*v + 6*v - 20. Let m be (-42)/(-6) + v/1. Let d(n) = -4*n**2 + n - 5. Calculate m*d(f) + 5*w(f).
2*f**2 - 3*f
Let a(o) = -12*o**2 - 332*o. Let j(z) = -6*z**2 - 109*z. Let v(r) = -a(r) + 3*j(r). Let d(t) = 0*t + t + 7*t**2 - 7*t. Let y = -12 + 17. Give y*v(m) + 4*d(m).
-2*m**2 + m
Let c(v) = 110*v + 734. Let g(y) = -98*y - 735. Determine 8*c(z) + 9*g(z).
-2*z - 743
Let i(l) = l**3 + l**2 - 3*l + 2. Let w(o) = -1309*o**3 - 4*o**2 + 21*o - 14. Give 7*i(n) + w(n).
-1302*n**3 + 3*n**2
Suppose -r + 5*r = -12. Let a be ((-34)/r - 2) + (-6)/(-9). Let k(x) = -a*x - x + 1 - 2*x + 12*x. Let y(m) = 1. Give -k(i) + 4*y(i).
i + 3
Let s(x) = -9*x + 101. Let r be s(-49). Let l = r + -543. Let a(k) = 3 + 1 - 5. Let f(p) = 3*p**2 + p - 3. Determine l*f(c) + 2*a(c).
-3*c**2 - c + 1
Let i(f) = 2*f**2 - 24*f - 1078. Let j be i(30). Let t(s) = s**2 + 2*s + 2. Let y(b) = -1 + 2*b - 3*b + 0 - b**2. Give j*y(l) + t(l).
-l**2
Let x(f) = 40*f**3 - 4. Let g(a) = -1 - 7*a**3 + 2 - 6*a**3. Let z(b) = b**3 + 133*b**2 + 148*b + 2122. Let k be z(-132). Calculate k*g(u) + 3*x(u).
-10*u**3 - 2
Let c(k) = 19*k - 2. Let o(l) = -26*l - 1. Let d(g) = 55*g + 4. Let p(x) = 2*d(x) + 5*o(x). Give -5*c(u) - 4*p(u).
-15*u - 2
Let p(g) = -g. Let i(m) = -7*m - 13. Let o(y) = -203*y + 1016. Let x be o(5). Calculate x*i(h) - 5*p(h).
-2*h - 13
Let g(z) = -4*z**3 + 16*z**2 + 49*z + 4. Let u(d) = 8*d**3 - 36*d**2 - 99*d - 9. What is 5*g(h) + 2*u(h)?
-4*h**3 + 8*h**2 + 47*h + 2
Let d(j) = -8*j**2 + 49*j - 3. Let q(a) = -3*a**2 + 16*a - 2. Calculate 2*d(b) - 5*q(b).
-b**2 + 18*b + 4
Let f(v) = -8*v**2 - v - 1. Let l = 71 - 344. Let z = l - -266. Let n(c) = -15*c**2 - 2*c - 2. Give z*f(t) + 4*n(t).
-4*t**2 - t - 1
Let k(b) = 3*b**