t(h). Determine -5*w(q) - 4*y(q).
-8*q - 3
Let m be (1 - -10)*1 - 665/95. Let b(o) = -o. Let r(p) = -8*p - 1. Let k = -23 + 15. Let w = k - -7. Determine m*b(t) + w*r(t).
4*t + 1
Let j(x) = 64*x. Let y(a) = -140*a + 27. Calculate 6*j(d) + y(d).
244*d + 27
Suppose t = 4*t - 6. Let q(f) = -11 - 4*f**2 + 6*f + 384*f**3 + 101*f**3 - 10*f**2 - 469*f**3. Let u(l) = -3*l**3 + 3*l**2 - l + 2. Calculate t*q(s) + 11*u(s).
-s**3 + 5*s**2 + s
Let o(w) = -175*w + 55. Let s(z) = 98*z - 27. Give 5*o(m) + 9*s(m).
7*m + 32
Let g(i) = -63*i**2 + 54*i - 117. Let d(t) = -3*t**2 + 2*t - 4. Determine -27*d(n) + g(n).
18*n**2 - 9
Let m(g) = 320*g + 65. Let p(y) = 10*y + 2. Let r(x) = -x**3 - 108*x**2 + 805*x + 6. Let w be r(-115). Give w*m(v) - 195*p(v).
-30*v
Let f(u) = -6*u - 1. Suppose 0 = -5*b - 3*y + 35, 0 = -3*b + 56*y - 51*y - 13. Let o(v) = -14*v - 1 + 5*v + 4*v. Give b*o(s) - 3*f(s).
-2*s - 1
Let s(v) = -71*v - 69*v + 0*v**2 + 136*v - 10*v**2 + 2*v**2. Let j(a) = 9*a**2 + 5*a. What is -4*j(d) - 5*s(d)?
4*d**2
Let p(z) = -33510*z + 13404. Let b(i) = 7*i - 2. What is 6702*b(w) + p(w)?
13404*w
Let l(u) = 39*u - 337868*u**2 - 38*u + 337867*u**2. Let x(t) be the second derivative of -t**4/4 + 7*t**3/6 - t**2/2 - t. Give 4*l(g) - x(g).
-g**2 - 3*g + 1
Let n(b) = 25*b**3 - b**2 + 529*b - 7. Let l(c) = 131*c**3 - 5*c**2 + 2645*c - 36. Give -4*l(k) + 21*n(k).
k**3 - k**2 + 529*k - 3
Let z(w) = 19*w**3 - 11*w**2 + 2*w + 11. Let k = -11659 + 11670. Let j(g) = -10*g**3 + 6*g**2 - g - 6. Give k*j(y) + 6*z(y).
4*y**3 + y
Let i(r) = -5*r**3 - 2*r**2 + 2*r. Let q = -39844 - -39843. Let h(w) = -w**2 + w. Suppose 2*g - 4 = -0*g. Determine g*h(y) + q*i(y).
5*y**3
Let j(a) = 10*a**2 - 12*a - 250. Let z(f) = 9*f**2 - 10*f - 246. Determine -5*j(p) + 6*z(p).
4*p**2 - 226
Let n(a) = -4*a**3 + 5*a**2 - 5*a + 50. Let m(q) = -q**2 - 126*q - 3797. Let c be m(-76). Let x(j) = 2*j**3 - 3*j**2 + 3*j - 25. Give c*n(o) + 5*x(o).
-2*o**3 + 25
Let w(g) = -70*g**3 + 110*g**2 + 9*g + 7. Let k(p) = -78*p**3 + 110*p**2 + 10*p + 8. Give 9*k(j) - 10*w(j).
-2*j**3 - 110*j**2 + 2
Let m(g) = -137*g - 7595. Let a(f) = 59*f + 3798. Calculate -7*a(n) - 3*m(n).
-2*n - 3801
Let p(v) = -v + 4*v + v**2 - 2*v. Suppose -x + 11*q = -108, -7*q + 2*q = 5*x + 60. Let r(s) = 10*s**2 + 11*s - 1. Determine x*r(j) + 18*p(j).
-2*j**2 - 4*j + 2
Let c(r) = -2*r**3 + 6*r + 8. Let b(u) = 3*u**3 - 7*u - 9. Suppose 7*j + 50 = -10*s + 2*j, -4*s + j - 26 = 0. What is s*b(t) - 7*c(t)?
-4*t**3 - 2
Let b(p) = -11*p**3 + p**2 + 6*p - 17. Let c(g) = 9*g**3 - 5*g + 13. Determine 4*b(u) + 5*c(u).
u**3 + 4*u**2 - u - 3
Let q(n) = 7 + 0*n + 3*n - n**2 - 3*n. Let r = 3 + 2. Let t(d) be the third derivative of -d**5/60 + d**3/2 - 27*d**2 + 221*d. What is r*t(g) - 2*q(g)?
-3*g**2 + 1
Let r(q) = -1. Let u(c) = -6*c - 69. Suppose -73*n = -83*n - 120. Let s be u(n). Let p = -28 + 16. Let b(o) = -o**2 - 4. Give p*r(f) + s*b(f).
-3*f**2
Suppose -3*b + 5*c + 5 = -2*b, b + 4*c = -4. Suppose b = a + 7*a + 32. Let w(u) = 13*u - 1 + 9*u - 19*u. Let k(h) = -2*h. Give a*k(t) - 3*w(t).
-t + 3
Let z(s) = 395*s**3 + 2*s**2 - s - 1. Let t(b) = 3*b**3 + 2*b**2 + b - 1. Give t(k) - z(k).
-392*k**3 + 2*k
Let t(s) = 32*s**2 + 14*s + 14. Suppose 135 = -26*p + 33*p - 34*p. Let y(f) = 21*f**2 + 9*f + 9. Calculate p*t(c) + 8*y(c).
8*c**2 + 2*c + 2
Suppose 5*g - 23*g - 127 = -19. Let m(w) = -6*w + 17. Let j(t) = 7*t - 18. Give g*m(p) - 5*j(p).
p - 12
Let q(d) = 27*d**3 + 2*d**2 + 2*d - 2. Let f(z) = 109*z**3 + 8*z**2 + 9*z - 9. Let c(h) = -2*h**3 - 10*h**2 + 38*h - 71. Let p be c(-8). Give p*q(o) - 2*f(o).
25*o**3 + 2*o**2
Let v(c) = -20*c**2 + 5*c. Let i = 7171 - 7175. Let p(x) = -5*x**2 + x. Determine i*v(n) + 18*p(n).
-10*n**2 - 2*n
Let o(u) = -u**2. Let v(c) = 8*c**2 - c + 1. Let x = -4 + 5. Let p be -2 - (-3 + 2 + -1). Suppose -a + 7 - x = p. Determine a*o(g) + v(g).
2*g**2 - g + 1
Let p(a) = -2*a. Let j(q) = 11*q + 818. Determine -j(x) - 6*p(x).
x - 818
Let k = 34 + 7. Suppose 5*o - 6 = -k. Let b(j) = 5600*j + 135. Let u(q) = -83*q - 2. Let r(h) = -2*b(h) - 135*u(h). Let w(i) = -16*i. Calculate o*r(g) - 2*w(g).
-3*g
Let v(f) = -f**2 - 12*f - 21. Let g be v(-10). Let c be (2 - -4) + g - 6. Let t(a) = -a - 6. Let n(b) = b - 1. Give c*t(k) + n(k).
2*k + 5
Let f = -118 + 153. Suppose 4*q - 4*r = 4, -f*r - 5 = -5*q - 32*r. Let a(p) = p. Let h(c) = -1. Calculate q*h(s) - a(s).
-s - 1
Let j(c) = -10*c**2 + 20*c - 256. Let l(z) = 10*z**2 - 19*z + 213. Determine -5*j(p) - 6*l(p).
-10*p**2 + 14*p + 2
Let m(l) = -5*l**2 + 2*l. Let f(v) = -v**2 - v. Let x = 7273 - 7271. Determine x*f(h) + m(h).
-7*h**2
Let c(j) = -9*j**2 + j - 1. Let d(y) = -44*y**2 - 13*y + 2. Give 5*c(t) - d(t).
-t**2 + 18*t - 7
Let x(l) = -2 - 4*l + 0 - 3*l**2 + 2*l. Let s(c) = -3*c**2 - 3*c - 3. Suppose -16*z + 33 = -5*t - 15*z, -t - 3*z = -3. Calculate t*s(a) + 9*x(a).
-9*a**2
Let j = 177 - 101. Suppose -74*r - 10 = -j*r. Let y(o) = -o**3 - o**2 - o - 1. Let u(w) = -7*w**3 - 5*w**2 - 5*w - 5. Give r*y(d) - u(d).
2*d**3
Let r(l) = 35*l**2 - 5*l + 1867. Let k(z) = -47*z**2 + 7*z - 1868. Calculate 3*k(p) + 4*r(p).
-p**2 + p + 1864
Let g(h) = -h**2 + 2*h + 73. Let v be g(-8). Let c(b) = 5*b + 1. Let l(f) = 6*f + 1. Let t(a) = -18*a - 3. Let s(x) = -17*l(x) - 6*t(x). Give v*c(w) + 6*s(w).
w - 1
Let p(q) = -3*q - 9. Suppose 0 = -z + 4*z + 9, -5*l = z + 18. Let c = -8 - l. Let u(t) = 11*t + 6*t + 5 - 17*t - 2*t + 4*t. Calculate c*u(a) - 3*p(a).
-a + 2
Let b(z) = -6*z**3 - 3*z**2 + 5*z - 4. Let a(o) = -7*o**3 - 4*o**2 + 6*o - 5. Suppose -2*f + 4*t - 20 - 6 = 0, -3*t - 3 = 3*f. Determine f*a(y) + 6*b(y).
-y**3 + 2*y**2 + 1
Let m(g) = 6. Suppose -49 = -f + 3*b - 29, 5*f + 2*b = 32. Let u(q) = 5*q - 1. Let i(c) = 2*c. Let d(p) = f*i(p) - 3*u(p). What is 6*d(n) - 3*m(n)?
6*n
Let s(v) = -2860*v. Let p(q) = -1433*q. Give -7*p(k) + 4*s(k).
-1409*k
Let h(o) = -o**2 + 12*o + 112. Let b be h(-6). Let p(y) = 1. Let v(f) = 1. Let t(q) = -4*p(q) + 5*v(q). Let a(d) = 3*d - 4. Give b*t(c) + a(c).
3*c
Let c = 7 - 0. Let p(o) = o + 1. Let d(r) = -2*r - 2. Let j(x) = -2*d(x) - 5*p(x). Let w(g) = 2*g + 2. Suppose -6*b = -247 + 223. Determine b*w(v) + c*j(v).
v + 1
Let z(i) = 20 - 20 + 5*i - 304*i**2 + 309*i**2. Let f(d) be the third derivative of -d**4/24 + d**2. Give 5*f(l) + z(l).
5*l**2
Let x be 2/((-70)/(-427)) + (-396)/180. Let g(w) = -132*w**3 - 10. Let s(m) = -44*m**3 - 3. Calculate x*s(o) - 3*g(o).
-44*o**3
Let h(k) = 978*k**2 + 12*k + 0*k - 984*k**2. Let i(f) = 6*f**2 + 5*f + 11. Let z(g) = -g**2 - g - 2. Let m(l) = 2*i(l) + 11*z(l). Give -h(d) - 12*m(d).
-6*d**2
Let d(r) = -15*r**2. Let n(j) = -3026*j**2 - 3528*j**2 + 7035*j**2. What is -130*d(o) - 4*n(o)?
26*o**2
Let b(o) = 2*o**2 - 4. Let a(v) = 17*v**2 + 1. Let s(u) = -47*u**2 + 1. Let g(l) = -8*a(l) - 3*s(l). Give 11*b(x) - 4*g(x).
2*x**2
Let y(i) = -5*i**2 - 5*i - 8. Suppose 120*k + 221 = -101*k - 0*k. Let h(z) = -z**2 - 1. Calculate k*y(o) + 6*h(o).
-o**2 + 5*o + 2
Let a(w) = 1260*w + 27. Let t(d) = 1259*d + 33. Give 6*a(o) - 5*t(o).
1265*o - 3
Let s = 161 - 157. Let t be (-4)/(-18) + 220/(-99) + s. Let q(c) = -c + 1. Let o(l) = 7*l - 2. Determine t*q(d) + o(d).
5*d
Let y(v) = v + 1. Let l be (-6729)/(-21) + (-6)/14 - -6. Let d = l + -328. Let g(x) = x**2 + 3*x + 2. Calculate d*y(a) + g(a).
a**2 + a
Let z(n) = -2*n**2 - 2*n. Let u(x) = 16000943 + x + 5*x**2 - 16000943 - 4*x**2. Calculate 8*u(f) + 3*z(f).
2*f**2 + 2*f
Let d(a) be the first derivative of -a**3/6 + 67*a - 90. Let r(w) be the first derivative of d(w). Let s(f) = 2*f. What is 3*r(q) + 2*s(q)?
q
Suppose 0 = 110*d - 115*d + 2*j + 358, -2*d - 3*j + 147 = 0. Let c(i) = i**2 + i - 1. Let a(s) = -36*s**2 - 72*s + 72. Calculate d*c(z) + a(z).
36*z**2
Let f(q) = 278*q - 1. Let t(z) = 835*z - 4. Calculate -7*f(y) + 2*t(y).
-276*y - 1
Let o be 0 + (-33)/((-495)/210). Let m(r) = 28*r**2 + 5. Let c(a) = 84*a**2 + 14. Calculate o*m(g) - 5*c(g).
-28*g**2
Let t(c) = -c**2 - 157*c + 2951. Let g be t(17). Let z(x) = 5*x - 47. Let u(j) = -9*j + 94. Determine g*z(d) - 4*u(d).
d - 47
Let c(x) = x. Let r = 8087 - 3651. Let w(n) = -6*n - r + 4436. What is -10*c(p) - 2*w(p)?
2*p
Let r(o) = -19*o - 140. Let s(a) = 2*a + 17. Let d(i) = -r(i) - 8*s(i). Let v(y) = -2*y - 3. Calculate -3*d(q) - 4*v(q).
-q
Let d(s) = -