- 3. Calculate -5*n(m) + r(m).
19*m + 45
Suppose -1200 = -7*b + 501. Let x(a) = -b + 243 + a. Let c(g) = 5*g. Determine -6*c(k) + 25*x(k).
-5*k
Let c = -16 + 10. Let y(h) = -h. Let f(g) = -g**2 - 4*g + 2. Let a = 209 + -206. Suppose 2*n + a*n - 3*r - 14 = 0, -5*r - 17 = -2*n. Determine c*y(x) + n*f(x).
-x**2 + 2*x + 2
Let k(g) = -3*g**3 + 4*g**2. Let l be -8*(-2)/80*4*-5. Let o(c) = -c**3 + c**2 + c. Determine l*o(h) + k(h).
h**3 - 4*h
Let x(f) be the third derivative of f**6/120 - f**5/6 - 694*f**2. Let n(s) = s**3 - 9*s**2. What is -6*n(w) + 5*x(w)?
-w**3 + 4*w**2
Let c(y) be the third derivative of y**4/6 - y**3/6 + y**2. Let r(n) = -452*n - 453*n + 896*n + 2. Let k = -10 - -4. Determine k*r(z) - 13*c(z).
2*z + 1
Let f(w) = -2*w**2 - 22*w - 49. Let p(c) = 2*c**2 + 18*c + 50. Calculate 4*f(h) + 5*p(h).
2*h**2 + 2*h + 54
Let k(g) = -1. Suppose 177 + 45 = 3*t. Let s(d) = 75 - 151 + t. Let v(w) = -3*k(w) + s(w). Let a(x) = -x + 4. What is a(p) - 5*v(p)?
-p - 1
Let o(l) be the third derivative of -l**4/24 - l**3/6 - 1102*l**2. Let c(y) = 21*y**2 - y - 1. Give -c(z) + o(z).
-21*z**2
Let l(s) = 6 + 7 - 30 + 7 + 11. Let q(n) = -4*n + 2. Determine 4*l(g) - q(g).
4*g + 2
Let f(r) = 85*r**3 - 14*r**2 - 2*r. Let z(p) = 172*p**3 - 33*p**2 - 4*p - 1. What is -5*f(t) + 2*z(t)?
-81*t**3 + 4*t**2 + 2*t - 2
Let s(k) = 33*k**2 + 1362*k + 5. Let h(j) = 8*j**2 + 327*j + 1. Let c(y) = -25*h(y) + 6*s(y). Let l(z) = -5*z**2 - 6*z + 9. Determine 9*c(b) - 4*l(b).
2*b**2 - 3*b + 9
Let b(x) = 3*x**3 + 2*x**2 - 17*x - 8. Let m be b(-3). Let q(t) = 1. Let j(r) = 6*r + 10. Determine m*q(c) + 2*j(c).
12*c
Let g be (36/(-27))/(97/(-96) - -1). Let x = 132 - g. Let o(d) = -7*d + 2. Let h(t) = -6*t + 2. Determine x*o(m) - 5*h(m).
2*m - 2
Let f(p) be the third derivative of -7*p**5/60 + p**3/2 - 144*p**2 - 1. Let q be (-6)/(-4) - (-39)/(-6). Let z(i) = 8*i**2 - 4. Determine q*z(s) - 6*f(s).
2*s**2 + 2
Let r(n) = -179*n**3 - 6*n + 2. Let w(f) = 718*f**3 + f**2 + 28*f - 9. What is 9*r(m) + 2*w(m)?
-175*m**3 + 2*m**2 + 2*m
Suppose -2*s - 2 - 4 = 0. Let l(y) = -20*y + 1 + 17*y + 6*y - y. Let t(v) = v. Calculate s*t(g) + l(g).
-g + 1
Let z(n) be the second derivative of 19*n**4/12 + 2*n**3/3 + 7*n + 7. Let g(u) = -19*u**2 - 3*u. Calculate -4*g(d) - 3*z(d).
19*d**2
Let a(c) = -2*c - 19. Suppose 5 - 4 = 6*z + 13. Let w(o) = -o**2 - 5*o - 39. What is z*w(p) + 5*a(p)?
2*p**2 - 17
Let v(u) = -57*u**2 + 2806*u + 14. Let w(x) = 20*x**2 - 936*x - 5. Give -6*v(a) - 17*w(a).
2*a**2 - 924*a + 1
Let r(d) = -3*d. Suppose 4*f + 4*j = 32, -5*j = 5*f - j - 35. Suppose -f*u = 19 + 14. Let g(t) = 21*t + 13*t - 35*t. Give u*g(w) + 4*r(w).
-w
Let m(d) = -52*d - 68. Let s(j) = -14*j - 17. Give -6*m(q) + 22*s(q).
4*q + 34
Let a(f) be the second derivative of 7/6*f**3 - 21 + 2*f + 2*f**2 - 1/12*f**4. Let o(h) = h**2 - 10*h - 6. Determine 7*a(x) + 5*o(x).
-2*x**2 - x - 2
Let f(j) be the third derivative of -5*j**4/24 - 5*j**3/6 + 767*j**2 + j + 2. Let x = -1 + 0. Let w(h) = h. Calculate x*f(n) - 3*w(n).
2*n + 5
Let q(k) = 12*k**3 - 8*k**2 + 8*k + 8. Let h(r) = -8*r**3 + 5*r**2 - 5*r - 5. Let s = 63 - 7. Suppose 0 = -406*i + 413*i + s. What is i*h(l) - 5*q(l)?
4*l**3
Let o be (-13 + 2)*(-198)/363. Let q(j) = -9*j**2 - 9*j + 1. Let v(l) be the first derivative of 8*l**3/3 + 4*l**2 - l + 3. What is o*q(r) + 7*v(r)?
2*r**2 + 2*r - 1
Let j(h) = 4746*h - 8. Let z(s) = -14228*s + 22. Determine 14*j(d) + 5*z(d).
-4696*d - 2
Let c be 8*(9 + (-462)/56). Let w(k) = -k**3 - k**2 - k. Let l(p) = -42*p**3 - 39*p**2 - 39*p. Determine c*l(a) - 234*w(a).
-18*a**3
Let v(h) = 19*h - 9. Let d(p) = -3*p + 1. Let q(n) = -6*d(n) - v(n). Let i(j) = 1. Let m = -102 + 27. Let t be (-2)/3 + m/(-45). Calculate t*q(l) - 5*i(l).
-l - 2
Let r(i) = -i**2 - 2*i + 0*i**2 + i**3 - 2 + 5. Let l(x) = -x**2 - x + 1. Suppose 50*o = -68 + 518. Suppose -o*z + 0*z - 18 = 0. Calculate z*l(n) + r(n).
n**3 + n**2 + 1
Let r(m) = 10*m**2 + 2*m + 6. Let u(x) = -9*x**2 - x - 5. Let g(o) = -o**2 + 48*o + 148. Let p be g(51). What is p*r(t) - 6*u(t)?
4*t**2 - 4*t
Let l be 3/((-24)/(-4))*14. Let v(b) = 6*b - 5. Let z(p) be the first derivative of 11*p**2/2 - 9*p - 2044. Calculate l*v(t) - 4*z(t).
-2*t + 1
Let n(j) = -j + 1. Let x(v) = 651*v + 10. Let b(f) = -108*f - 1. Let d(m) = 6*b(m) + x(m). Give 2*d(a) - 6*n(a).
12*a + 2
Let h(l) be the first derivative of l**3/3 - 4440. Let b(p) be the first derivative of -4*p**3/3 - 2*p**2 - 4. What is b(w) + 2*h(w)?
-2*w**2 - 4*w
Let d(q) = 8*q**2 + 1. Let a(b) be the second derivative of b**4/3 + 1769*b. Calculate -7*a(c) + 3*d(c).
-4*c**2 + 3
Let c(a) = 242*a**2 + 25*a + 24. Let q(p) = 726*p**2 + 71*p + 69. What is 17*c(f) - 6*q(f)?
-242*f**2 - f - 6
Suppose -d = -v + 27, -d - 13 + 34 = v. Let m(g) = -9 + g - 16 + v. Let a(y) = -y**2 - 2*y + 2. What is 2*a(k) + 5*m(k)?
-2*k**2 + k - 1
Let q(j) = 8*j**2 - 8*j - 8. Suppose 24*l - 1236 = 1644. Let a(k) = k**3 + 240*k - 119*k + 1 - k**2 - l*k. What is 8*a(r) + q(r)?
8*r**3
Let q(o) = 4*o + 147. Let y(s) = -2*s - 79. Give -3*q(i) - 5*y(i).
-2*i - 46
Let z(r) = 10*r**3 - r**2 - r + 1. Let h(n) = -38*n**3 + 4*n**2 + 4*n - 3. Calculate -4*h(v) - 15*z(v).
2*v**3 - v**2 - v - 3
Let i(p) = 8*p**3 - 5*p - 5. Let b(v) = 7*v + 475 - 3*v + 4*v**3 - 943 + 472 - 12*v**3. Determine -5*b(h) - 4*i(h).
8*h**3
Let c(r) = -2923*r - 259. Let k be 6/8*((-180)/(-210))/(3/(-14)). Let d(y) = 34*y + 3. Give k*c(b) - 259*d(b).
-37*b
Let w(m) = 9*m + 4. Let f(r) = -15*r - 107. Give f(v) + w(v).
-6*v - 103
Let n(s) = 371*s**2 - 35. Let b(f) = -1791*f**2 + 174. Determine 5*b(j) + 24*n(j).
-51*j**2 + 30
Let s(g) = -31*g**2 - 23*g - 39. Let d(y) = 47*y**2 + 35*y + 61. What is -5*d(c) - 8*s(c)?
13*c**2 + 9*c + 7
Suppose -2*r = -10, -4*r = 5*o - 14 - 1. Let l(m) = 246*m. Let n(i) = i. Determine o*l(c) + 205*n(c).
-41*c
Let n be (-2)/5 + 136/40. Let a(x) = -4 - x**2 - x**2 + 2*x**2 - n*x**2 + x. Let w be (3 - 1)*3/6. Let d(l) = -l**2 - 1. Calculate w*a(r) - 4*d(r).
r**2 + r
Let f(l) = 7*l**2 - 7*l - 6. Let w be 3/27*18*-3. Let j(z) = -z**3 - 8*z**2 + 8*z + 7. Give w*f(q) - 5*j(q).
5*q**3 - 2*q**2 + 2*q + 1
Let a be (6/(3 + -5))/((-6)/4). Let v(x) = 3*x**a + 0*x**2 + 2 - 2*x**2 + 4*x. Let i be -2*((-324)/8)/9. Let w(u) = 2*u**2 + 9*u + 5. Determine i*v(c) - 4*w(c).
c**2 - 2
Let t be 31/3 + 4/6. Let u(z) = 10*z + 16. Let r(b) = -3 + 26*b - 12*b - 16*b. Suppose 171*k - 127 = 215. What is k*u(c) + t*r(c)?
-2*c - 1
Let d(r) = 4*r**3 - 9*r**2 - 51*r + 3. Let m(w) = -4*w**3 + 6*w**2 + 52*w - 2. What is 2*d(j) + 3*m(j)?
-4*j**3 + 54*j
Let r(v) = -2*v**3 + 4. Let z = -1263 + 803. Let q = 449 + z. Let u(d) = -10*d**3 + 20. Calculate q*r(j) + 2*u(j).
2*j**3 - 4
Let l = 1559 - 1560. Let u(f) = -f - 1. Let n(r) = -5*r**2 - r + 1. Let h(t) = -t**3 + 5*t**2 + 6*t + 1. Let z be h(6). Give l*u(k) + z*n(k).
-5*k**2 + 2
Let z(i) = i**2. Let a be (6 - 212/32)/((-5)/40). Let r(j) be the second derivative of j**4/12 - j**3/6 + j. Calculate a*z(g) - r(g).
4*g**2 + g
Let m(g) = -15*g**3 + 22*g**2 + 1439*g + 21. Let q(a) = -3*a**3 + 4*a**2 + 288*a + 4. Calculate -2*m(d) + 11*q(d).
-3*d**3 + 290*d + 2
Let a(w) be the second derivative of w**3/6 - w**2/2 - 143*w. Let c = -1 - 5. Let g be 3/((c/(-8))/(-1)). Let i(f) = 3*f - 5. What is g*a(r) + i(r)?
-r - 1
Let u = 10 - 5. Suppose u + 13 = -2*w. Let b(j) = 21*j**3 + 9*j**2. Let d(k) = -22*k - 268. Let t be d(-12). Let a(n) = -10*n**3 - 4*n**2. Give t*b(z) + w*a(z).
6*z**3
Let u(c) be the first derivative of -c**2 - 13*c - 7315. Let k(m) = m + 7. What is -11*k(p) - 6*u(p)?
p + 1
Let s(g) = -21*g**3 - 4*g**2 - 34*g - 4. Let u(v) = 20*v**3 + 6*v**2 + 35*v + 6. Calculate 3*s(b) + 2*u(b).
-23*b**3 - 32*b
Suppose 11*g + 4*g + 12*g - 108 = 0. Let v(p) = 6*p + 11. Let u(f) = 13*f + 23. Let x(s) = -s**3 - 11*s**2 + 2*s + 13. Let t be x(-11). Give g*u(m) + t*v(m).
-2*m - 7
Let x(y) = -39*y + 4. Let u(h) = -3080*h + 315. Let b be (-2 - (-308)/(-1)) + 340/(-68). Determine b*x(f) + 4*u(f).
-35*f
Let j(g) = 7*g**2 - 2*g - 6. Suppose -6*y + 18 = -90. Suppose 396*a = 399*a - y. Let s(f) = -15*f**2 + 4*f + 13. Determine a*s(w) + 13*j(w).
w**2 - 2*w
Let q(k) = -k**3 - k**2 + k - 1. Let j(l) = -48*l**3 - 8*l**2 + 28*l + 52. Let u(y) = -y**3 + y + 3. Let o(d) = -j(d) + 20*u(d). Calculate o(x) +