63*k**3 - 17. Determine -3*f(n) + 51*j(n).
-2991*n**3
Let b(r) = 2*r. Let t(n) = -4*n + 2*n + 0*n. Suppose -2*v + f + 2 = -0*f, 0 = -5*v - 5*f - 25. Let h = 24343 - 24345. What is h*t(q) + v*b(q)?
2*q
Let k = 33 + -36. Let j(h) be the third derivative of h**5/60 + h**4/12 - 2*h**3/3 + 92*h**2. Let m(a) = a - 3. Calculate k*j(d) + 4*m(d).
-3*d**2 - 2*d
Let h(p) = 9159*p**2 - 2*p. Let o(v) = -1767687*v**2 + 387*v. Calculate -387*h(f) - 2*o(f).
-9159*f**2
Let u be 5 + -7 + -5 + 15. Let r(j) = 6 - 4*j - 4*j + j - u. Let q(a) = 15*a + 4. Let c(m) = m**3 + 4*m**2 - m + 7. Let k be c(-5). Calculate k*r(s) - 6*q(s).
s + 2
Let u(d) = 8*d**3 + 12*d**2 + 10259*d. Let r(b) = 9*b**3 + 14*b**2 + 10267*b. Calculate -6*r(i) + 7*u(i).
2*i**3 + 10211*i
Let l(v) = -3*v**2 - 2*v - 5. Let s(b) = 158*b + 7741. Let m be s(-49). Let n(u) = -u**2 + u + 1. Determine m*l(y) - 3*n(y).
6*y**2 - y + 2
Let b(j) = -864*j**2 - 80*j - 80. Let a(m) = 34*m**2 + 3*m - 11. Let o(n) = -35*n**2 - 3*n + 18. Let l(f) = 3*a(f) + 2*o(f). Determine -3*b(s) - 80*l(s).
32*s**2
Let o(x) = 49*x**2 - 10*x + 4. Let q(r) = -69*r**2 + 14*r - 5. Let m(i) = -7*o(i) - 5*q(i). Let j(p) = 1. Determine -2*j(l) - m(l).
-2*l**2 + 1
Let y(f) = -f**3 + f**2 - 11*f. Let p(z) = -z**3 + z**2 - 5*z. What is 4*p(n) - 3*y(n)?
-n**3 + n**2 + 13*n
Let y(k) = -11*k - 22. Let f(b) = -1. Suppose -71*u - 44 = -75*u, 3*u = 5*v + 143. Suppose c = -5*w + 2, -3*c = 3*w - 5*c - 9. Calculate v*f(r) + w*y(r).
-11*r
Let q(c) = 4*c**3 - 2*c**2 + 2*c + 1. Let s(k) = 6*k**3 - 8*k**2 + 14*k - 1. Determine 4*q(r) - s(r).
10*r**3 - 6*r + 5
Let d(z) = z**2 + z - 1. Let g(p) = 9*p**2 + 1532*p - 1526*p - 6 + 0*p**2. Suppose -44*f + 2 - 266 = 0. Calculate f*d(w) + g(w).
3*w**2
Let y(b) = -196*b**3 - 770*b - 987. Let h(z) = 15*z**3 + 60*z + 76. Calculate 77*h(n) + 6*y(n).
-21*n**3 - 70
Let z(c) be the second derivative of -8*c**3/3 - c**2 + 5269*c. Let w(h) = -15*h - 2. What is 5*w(v) - 4*z(v)?
-11*v - 2
Let j(l) = -108*l + 99. Let x(v) = 397*v**3 - 6*v**2 + 18*v + 25. Let k be x(-1). Let b(h) = h - 1. Determine k*b(d) - 4*j(d).
36*d
Suppose -4*a + 17 = 2*x - 3, -a = -2*x - 10. Let s(j) = 9*j**2 + 19*j - 11. Let o(t) = -5*t**2 - 10*t + 6. Calculate a*s(q) + 11*o(q).
-q**2 + 4*q
Let o(n) = 4065*n**2 - 72*n - 12. Let w(y) = -4065*y**2 + 60*y + 10. Give 5*o(v) + 6*w(v).
-4065*v**2
Let v(b) = -7. Let y(p) = -2*p + 6*p - 80 - 3*p + 93 - 2*p. Calculate -11*v(d) - 6*y(d).
6*d - 1
Let b(d) = 7*d - 1698. Let q(k) = 3*k - 853. Calculate 2*b(y) - 5*q(y).
-y + 869
Let a(n) = 9*n + 5. Let h(d) = -9*d - 4*d - 6 + 3*d. Let f be (-871)/169 + 2/13. Let m be 288/80*f/(-3). Determine m*a(t) + 5*h(t).
4*t
Let b(s) = -5*s**3 + 3*s**2 + 410*s - 22. Let w(a) = -2*a**3 + a**2 + 137*a - 8. What is 4*b(q) - 11*w(q)?
2*q**3 + q**2 + 133*q
Let g = 24 + -22. Let j(l) = -l**g + l**2 + l**2 - 1. Let n(r) = -2*r**3 + 4*r**2 - r - 2. Suppose -53 = -67*x + 14*x. Determine x*n(h) - 4*j(h).
-2*h**3 - h + 2
Let o(u) = -u**2 + 6. Let p be (-9)/45 + (-16)/(-5). Suppose -13*g + 88 = -p. Let z(n) = -n**2 + 9. What is g*o(b) - 5*z(b)?
-2*b**2 - 3
Let d(y) = -4*y + 16. Let m(k) = -1199 + 8*k - 9*k + 6*k + 1183. Give 6*d(w) + 5*m(w).
w + 16
Let k(z) = z**2 + 3*z + 5. Let y = 39 + 6. Let v(t) = -44*t - 12 + 13 + y*t. Give k(w) - 4*v(w).
w**2 - w + 1
Let l(v) = 21*v**3 + 9*v**2 + 86*v - 41. Let o(p) = 10*p**3 + 4*p**2 + 43*p - 18. Give 4*l(r) - 9*o(r).
-6*r**3 - 43*r - 2
Let z(h) = 5*h**2 - 3*h + 2. Suppose 21*m = -5*m + 46 + 6. Let g(x) = -6*x**2 + 3*x - 2. Determine m*g(y) + 3*z(y).
3*y**2 - 3*y + 2
Let s(b) = b**2 + b. Let j(z) = -3 + 431*z + 3*z**2 + 533*z + 2*z**2 - 960*z. Let v(o) = o**3 + 4*o**2 + 1. Let a be v(-4). What is a*j(d) - 4*s(d)?
d**2 - 3
Let h(z) = 156*z**2 + z + 8. Let j(q) = -157*q**2 - 2*q - 12. Calculate 3*h(x) + 2*j(x).
154*x**2 - x
Let p(j) = -8*j + 1. Let t(d) = 5*d - 1. Let b(h) = -3*p(h) - 3*t(h). Let a(y) = -26*y - 1. Calculate 3*a(c) + 8*b(c).
-6*c - 3
Let r = 275 + -243. Suppose -r*h + 38 + 58 = 0. Let v(m) = -6*m + 2. Let f(z) = 6*z - 3. Calculate h*v(t) + 2*f(t).
-6*t
Suppose 10*c = 8*c, 0 = -2*m + 4*c - 1034. Let r = m + 522. Let u(p) = 7*p - 5. Let h(i) = -6*i + 5. Calculate r*u(a) + 6*h(a).
-a + 5
Let c(o) = 4*o**3 + 3*o**2 + 3. Let v(g) be the second derivative of 5/2*g**2 + 5/12*g**4 + 7/20*g**5 + 0*g**3 + 0 - 75*g. Determine 10*c(f) - 6*v(f).
-2*f**3
Let j(r) = 1344*r - 10. Let v(h) = 2*h + 1. Calculate j(i) + 8*v(i).
1360*i - 2
Let c(g) = 5*g**2 - 3*g - 5. Let y(k) be the third derivative of -k**5/60 + k**3/6 + 2*k**2. Suppose 42*n + 18646 - 18688 = 0. Determine n*c(s) + 3*y(s).
2*s**2 - 3*s - 2
Let j(i) be the second derivative of i**4/12 + i**3/6 - i**2/2 + 2169*i. Let b(c) = 3*c**2 + 7*c - 2. Calculate b(l) - 4*j(l).
-l**2 + 3*l + 2
Let i(n) = 4*n**2 + 4*n + 4. Suppose 0 = 4*v - 5*j + 6, 3*v + 150*j = 152*j + 6. Let z(l) = -l**2 - 1. What is v*z(k) + i(k)?
-2*k**2 + 4*k - 2
Let g(z) = 4*z. Let o(t) = 31*t + 11. Let l(h) = -h**2 - 18*h - 6. Let y(k) = 11*l(k) + 6*o(k). Give -12*g(b) - 4*y(b).
44*b**2
Let c(h) = -h**2 - 4*h + 3. Let x(l) = 9*l - l**2 - 6 + 3*l**2 + 0*l**2. Let q(t) = 22588*t + 203294. Let j be q(-9). Give j*x(p) + 5*c(p).
-p**2 - 2*p + 3
Suppose n - 8 = -59. Let o(y) = 1462 - 15*y**3 - 10*y**3 - 1462. Let u(f) = 3*f**3. Determine n*u(j) - 6*o(j).
-3*j**3
Let q(b) = b**2 + 2*b - 4. Suppose 10 = -4*k + 22. Let x(h) = -2*h**2 - 3*h + 5. Suppose -160*y - 190 = -255*y. Calculate k*q(r) + y*x(r).
-r**2 - 2
Let s(z) = 420*z**2 + 56*z - 413. Let d(v) = -38*v**2 - 5*v + 37. Calculate 56*d(y) + 5*s(y).
-28*y**2 + 7
Let q(u) = 2*u**3 - 78*u - 150. Let f(z) = z**3 + 41*z. Give 2*f(a) + q(a).
4*a**3 + 4*a - 150
Let a(i) = 10859*i**3 - 19*i**2 + 19. Let w(t) = -2172*t**3 + 4*t**2 - 4. Determine 4*a(k) + 19*w(k).
2168*k**3
Let s(t) = 15*t**2 - 7*t. Let o(j) = -372*j + 1866. Let x be o(5). Let b(n) = -n**2 + n. Give x*b(v) + s(v).
9*v**2 - v
Let d(n) = n**2 + 2*n - 4. Let x(k) = -9*k**2 - 14*k - 1970. Give 8*d(s) + x(s).
-s**2 + 2*s - 2002
Let l(h) be the second derivative of -h**3/6 + 3*h**2/2 - h. Let z = -84 - -111. Suppose -z = 5*p + 143. Let x(j) = 6*j - 17. Determine p*l(c) - 6*x(c).
-2*c
Suppose -1459756*j + 1459755*j = -5. Suppose -2*i - 2*i + 1 = m, 2*i - 14 = 4*m. Let d(r) = 5*r - 2*r + i - 2*r. Let n(p) = -p. Calculate j*n(y) + d(y).
-4*y + 1
Let a(z) = 3116*z**3 - 15*z**2 + 5*z - 10. Let u(y) = -828853*y**3 + 3987*y**2 - 1329*y + 2658. Calculate 1329*a(j) + 5*u(j).
-3101*j**3
Let g(y) = 3*y**2 - 3*y + 3. Let x(h) = 7*h**2 - 10*h + 7. Let d(i) = -i. Let c(j) = -4*d(j) + x(j). Let t be 5266/(-13165) - (-24)/10. Give t*c(f) - 5*g(f).
-f**2 + 3*f - 1
Let q(k) be the first derivative of -3*k**4/4 + 23*k**2/2 - 26*k - 5. Let y = -3943 + 3949. Let n(c) = c**3 - 8*c + 9. What is y*q(d) + 17*n(d)?
-d**3 + 2*d - 3
Let l(k) = 4963*k**3 + 30*k**2 - 10*k - 10. Let a(x) = 17206722*x**3 + 104013*x**2 - 34671*x - 34671. What is 10*a(j) - 34671*l(j)?
-4953*j**3
Let y(x) = 549*x**2 + 10*x - 2. Let h(s) = -6*s**2 - 2*s. Calculate 5*h(f) + y(f).
519*f**2 - 2
Let j(u) = -u**2 + 6*u + 13. Let n(d) = d**2 - 5*d - 13. Suppose 49 = -7*v - 2*l, -55*v - 28 = -51*v + 2*l. What is v*n(b) - 6*j(b)?
-b**2 - b + 13
Let v(j) = 41*j - 3. Let n(w) = -44*w. Determine 2*n(x) + 3*v(x).
35*x - 9
Let g(m) = -m. Let x = 30773 + -30771. Let p(y) be the second derivative of -1/6*y**3 - 1/2*y**x + 0 + 12*y. Calculate -2*g(f) + 3*p(f).
-f - 3
Let h(n) = 91 - 35*n + 46*n - 89. Let u(d) = 11 + 23*d + 27*d + 28*d + d - 24*d. What is 11*h(s) - 2*u(s)?
11*s
Let z(d) = -138*d - 147. Let v(m) = -68*m - 80. What is 11*v(g) - 6*z(g)?
80*g + 2
Let l(n) = 23*n**3 - 46*n**2 - 46. Let g(k) = -k**2 - 1. Let a = -7854 + 7900. Calculate a*g(r) - l(r).
-23*r**3
Let m(w) = -37*w - 8*w**2 + w**2 - 3 + 2*w**2 + 29*w. Let h be m(-5). Let b = h + 95. Let j(f) = f + 1. Let g(z) = -4*z - 3. Determine b*j(p) + 2*g(p).
-p + 1
Let v(o) = -2*o - 146. Let c(w) = -w - 144. What is -6*c(b) + 5*v(b)?
-4*b + 134
Let u(r) = -15*r - 1. Let m(w) = -39*w + 3. Let n(v) = -54*v + 2. Let i(c) = m(c) - n(c). What is -3*i(j) - 2*u(j)?
-15*j - 1
Let s(w) = w + 1. Let z(f) = f**2 - 15*f - 14. Let b = -65 - -71. Let g(a) = b*s(a) + z(a). Let h(u) = u**2 - 8*u - 7. Give -5*g(m) + 6*h(m).
m**2 - 3*m - 2
Let o(n) 