 5*o(w) + 2*v(w).
59*w**2 + 19*w
Let n(t) = 1 + 7 + t**2 - 3 - 7*t**2. Let q(y) be the third derivative of -y**5/60 + y**3/6 - 8*y**2. What is n(l) - 5*q(l)?
-l**2
Let r = -5212 + 5207. Let w(a) = 18*a - 4. Let f(u) = -17*u + 3. Determine r*f(y) - 4*w(y).
13*y + 1
Suppose 4*c - 3*w = -39, -177*c - 2*w = -182*c - 40. Let n(z) = 7*z - 13. Let d(h) = 20*h - 39. What is c*d(a) + 17*n(a)?
-a + 13
Let r(b) = -2*b**2 - 72 - 3*b**2 + 187 - 77 - 6*b - 39. Let x(v) = -9*v**2 - 11*v - 2. Give -11*r(n) + 6*x(n).
n**2 - 1
Let z(j) = 3*j - 2. Let h = -334 + 340. Suppose h*m = 51 - 39. Let d(s) = 2*s - 4. Let p(a) = 1. Let x(f) = d(f) + 3*p(f). Give m*z(o) - 5*x(o).
-4*o + 1
Let h(z) = -100*z**2 + 45. Let r(t) = 9*t**2 - 4. Suppose -13*n = -2*n + 44. Suppose 0 = -2*k - 2*v - 38 - 56, -3*k = 2*v + 139. Determine k*r(b) + n*h(b).
-5*b**2
Let i(q) = -60*q**3 - 15. Let t(o) be the third derivative of -o**6/8 - 2*o**3/3 + 2117*o**2. What is 4*i(k) - 15*t(k)?
-15*k**3
Let n(z) = -3285*z**3 - 60*z**2 + 11*z + 41. Let x(k) = -821*k**3 - 16*k**2 + 3*k + 11. Give -4*n(f) + 15*x(f).
825*f**3 + f + 1
Let g(h) = 24*h**2 - 181*h + 6. Let p(a) = 70*a**2 - 541*a + 17. Determine 17*g(t) - 6*p(t).
-12*t**2 + 169*t
Let j(w) be the first derivative of 3*w**2/2 - 5*w + 40. Let b(h) = 8 - 8*h - 11 + 14 + 3. Suppose z = -5*a - 55, 5*z + 5 + 6 = -a. What is a*j(t) - 4*b(t)?
-t - 1
Let x(v) be the third derivative of -3*v**6/20 + v**4/24 - v**3/3 + 1603*v**2. Let l(u) = u**3 + u - 1. Calculate 2*l(n) - x(n).
20*n**3 + n
Suppose -3*r - 18 = 3*y, -10 = -13*r + 10*r + y. Let w(j) = j. Let s(u) = u. Let k(x) = 3*x + 1. Let z(v) = -3*k(v) + 7*s(v). Give r*z(d) + 3*w(d).
d - 3
Let l(f) = 133*f + 67. Let w(m) = -24*m - 13. Let r(k) = 2*l(k) + 11*w(k). Let s(i) = -i + 4. Calculate 2*r(u) + 5*s(u).
-u + 2
Let n(b) = 9*b**3 + 4*b**2 + 6. Let p(t) = 91*t**3 + 15*t**2 - 6*t + 7. Let o(a) = -12*a**3 - a**2 + a + 1. Let s(z) = 6*o(z) + p(z). What is -13*n(q) + 6*s(q)?
-3*q**3 + 2*q**2
Let s(t) = 2*t - 4. Let d(h) = 9 + 0 - 2 - 18*h - 17*h + 31*h. Calculate 3*d(n) + 5*s(n).
-2*n + 1
Let p(n) = -5*n**3 + 35*n**2 + 8*n - 6. Let s(d) = 4*d**3 - 29*d**2 - 6*d + 5. Calculate 3*p(x) + 4*s(x).
x**3 - 11*x**2 + 2
Let g(a) be the second derivative of a**3/6 - 658*a - 6. Let i(j) = 6*j. Suppose 5 = -2*n - 1. Calculate n*g(v) + i(v).
3*v
Let o(r) = -15*r - 4. Let z(w) = -8*w - 2. Suppose -103*f + 92*f = -44. Suppose 0 = 5*x + p + 33, -f*x + 2*p - 32 + 14 = 0. Calculate x*o(a) + 11*z(a).
2*a + 2
Let v(s) = -2*s + 1. Let f(n) = -101*n**2 + 2*n + 5. Give -f(a) + 6*v(a).
101*a**2 - 14*a + 1
Let p(y) = 1187*y**2 - 4*y + 56. Let b(v) = 1188*v**2 - 3*v + 45. Give 5*b(s) - 4*p(s).
1192*s**2 + s + 1
Let p(q) = -4*q. Let c be 168/30*(-5)/(-2). Let b(d) = 5*d - 18*d + c*d. What is 8*b(w) + p(w)?
4*w
Let l(o) = -16*o**3 + 8*o**2 - 8. Let u(j) = -j**3 - 15*j**2 - 15*j - 11. Let y be u(-14). Let h(t) = -t**3 + t**2 - 1. Give y*l(w) - 24*h(w).
-24*w**3
Suppose -13*s + 186 = 69. Let j(t) = -4 - 3 - 8*t + 6 - 1. Let f(h) = -17*h - 5. Calculate s*j(z) - 4*f(z).
-4*z + 2
Let i(u) be the first derivative of u**3/3 + u + 2309. Let n(a) = -2*a**3 - 4*a**2 - 3. Calculate -6*i(x) - n(x).
2*x**3 - 2*x**2 - 3
Let m(z) = z - 7. Let n(a) = -15*a + 74. Let b be n(5). Let c(f) = f**2 - f + 1. Give b*m(k) - 2*c(k).
-2*k**2 + k + 5
Let g(k) = 1969*k + 6. Let z(n) = 1979*n + 7. Give -7*g(l) + 6*z(l).
-1909*l
Suppose 0 = 412*a - 416*a - 8. Let z(x) = 27*x + 5. Let b(v) = -25*v - 5. Let j(r) = a*z(r) - 3*b(r). Let p(i) = -2*i + 3*i + 1 + 4*i. Give -2*j(y) + 9*p(y).
3*y - 1
Let j(r) = 4710*r - 9. Let z(d) = -14120*d + 25. Determine 11*j(a) + 4*z(a).
-4670*a + 1
Let j(h) = -7*h + 6. Let l(i) = 13*i - 11. Let n(k) = 337*k - 679. Let w be n(2). Determine w*j(u) - 3*l(u).
-4*u + 3
Let a(n) = 7*n**3 + 3*n**2 - 4*n + 2. Let y(r) = -5*r**2 - 79*r - 237. Let c be y(-4). Let p(g) = -3*g**2 - g + g**3 + 0*g**2 + 4*g**2. What is c*a(h) + 4*p(h)?
-3*h**3 + h**2 - 2
Let a(u) = -13*u**2 - 6*u - 15. Let f(c) = -13*c**2 - 5*c - 9. Determine -4*a(i) + 5*f(i).
-13*i**2 - i + 15
Let i(h) = 1. Suppose 4*v + 15 = 4*l - 7*l, 3*l - v = 0. Let z(u) = 3*u + 1. Calculate l*z(m) - 6*i(m).
-3*m - 7
Let z(q) = 300*q**2 - q + 4. Let v(k) = -9*k**2 - 1. Calculate -4*v(c) - z(c).
-264*c**2 + c
Let b = -23 - -126. Suppose 61 = -7*n + b. Let m(i) = 12*i + 2. Let f(w) = -35*w - 6. Calculate n*f(h) + 17*m(h).
-6*h - 2
Let p(a) = 4*a - 1. Suppose -4*w - 4*z + 28 = 0, 0 = -2*w - 3*z + 129 - 110. Let k(x) = -3*x + 2. What is w*p(y) + 3*k(y)?
-y + 4
Let c(j) = 4*j**2 + 8*j - 9. Let f(q) = -12*q**2 - 17*q + 18. Let s(v) = 7*c(v) + 3*f(v). Let t(p) = 9*p**2 - 6*p + 10. Give 6*s(n) + 5*t(n).
-3*n**2 - 4
Let o(p) = -158*p**3 - 15*p**2 + 9*p - 18. Let q(a) = -7*a**3 + a**2 - a + 2. Give o(u) + 9*q(u).
-221*u**3 - 6*u**2
Let x(p) = 7161*p + 10. Let b(w) = -71601*w - 105. What is -2*b(m) - 21*x(m)?
-7179*m
Let h(p) = -3*p + 12. Let f(s) = -17823*s + 936. Give f(j) - 78*h(j).
-17589*j
Let m(b) = -b**3 - 3*b**2 + 2. Let x(l) = -14416*l**3 - 45951*l**2 + 30634. Determine -30634*m(p) + 2*x(p).
1802*p**3
Let d(y) = -59*y**2 - 3073*y - 14. Let s(i) = -17*i**2 - 1025*i - 4. Give -2*d(n) + 7*s(n).
-n**2 - 1029*n
Let t(l) = -17 - 7379*l + 14761*l - 7369*l + 4*l**2. Let j(r) = -r**2 - 3*r + 4. What is 9*j(d) + 2*t(d)?
-d**2 - d + 2
Let l(t) = 4*t**3 + 331. Let b(g) = -5*g**3 + g - 247. Give -5*b(m) - 4*l(m).
9*m**3 - 5*m - 89
Let g(i) = -1271*i**2 - i + 63. Let f(h) = -1273*h**2 - h + 54. Determine -7*f(b) + 6*g(b).
1285*b**2 + b
Let q(m) = 5*m**2 + m + 3. Let i(k) = 24*k**2 - 14*k - 46. Determine i(j) + 14*q(j).
94*j**2 - 4
Let p(j) = -27*j - 9. Suppose -4*h + 69 = 3*n, 3*n - 46 = -5*h + 20. Let v(f) = 1. What is n*v(a) + 3*p(a)?
-81*a
Suppose -5646 = 15*u - 6171. Let t(b) = 77*b**2 + 35*b. Let v(g) = 13*g**2 + 6*g. Give u*v(a) - 6*t(a).
-7*a**2
Let p(n) = -n**2 + n - 1. Let d(m) = 1. Let u(c) = -5. Let z(h) = -6*d(h) - u(h). Suppose -13*w = 50*w - 49 + 112. Give w*z(y) + p(y).
-y**2 + y
Let a(o) = -7*o. Let v(h) = -135 - 125*h + 140*h + 135. Let i(z) = -2*z + 2*z**2 + 2 - 4*z**2 + 1. Let y be i(-3). Determine y*a(l) - 4*v(l).
3*l
Let y(l) = -l + 9*l - 5 + 15*l. Let d(m) = 392*m - 84. Calculate 5*d(t) - 84*y(t).
28*t
Let z(u) = 336*u**2 - 10*u - 9. Let i(n) = -83*n**2 + 3*n + 2. What is 9*i(h) + 2*z(h)?
-75*h**2 + 7*h
Let r(b) = -78*b - 27. Let u(m) = -31*m - 11. Suppose 0 = 23*t + 116 + 5 + 155. Give t*u(q) + 5*r(q).
-18*q - 3
Let m(l) = -30*l**3 + 12*l**2 - 12*l - 12. Let h(f) be the third derivative of f**6/10 - f**5/12 + 5*f**4/24 + 5*f**3/6 - 69*f**2. Give -12*h(z) - 5*m(z).
6*z**3
Let h(r) = -r + 19. Let m(l) be the second derivative of -5*l**2 + 7*l - 57. Calculate 4*h(f) + 7*m(f).
-4*f + 6
Let p(d) = -24*d**2 + 50*d - 9. Let a be p(2). Let h(s) = -2*s**2 - 8*s. Let w(j) = 2*j**2 + 7*j. Determine a*h(o) - 4*w(o).
2*o**2 + 12*o
Let l(p) = -2*p**2 - 2*p - 437. Let n(q) = -4*q**2 - 3*q - 873. Give -7*l(v) + 3*n(v).
2*v**2 + 5*v + 440
Let p(z) = 3*z - 7. Let x = -7 + -7. Suppose 4*r = -4*d + 24, 0 = -2*r - 14*d + 16*d - 4. Let k(m) = m - 1. Determine r*p(i) + x*k(i).
-8*i
Let f(o) = 4*o**2 - 16*o + 2473. Let b(d) = 9*d. Give -2*b(u) - f(u).
-4*u**2 - 2*u - 2473
Let l(d) = -6*d**3 - 56*d**2 + 9*d - 29. Let r(z) = 4*z**3 + 44*z**2 - 7*z + 29. Give 3*l(c) + 4*r(c).
-2*c**3 + 8*c**2 - c + 29
Let c(h) = 7*h + 5. Let m(y) = y**2 + 23*y + 129. Let g be m(-9). Let a(u) = 13*u + 11. Calculate g*a(l) - 7*c(l).
-10*l - 2
Let a(u) = -3*u + 253. Let f(x) = -3*x + 254. Give 5*a(k) - 6*f(k).
3*k - 259
Let z(d) = d**3 + d. Let t(y) = 2*y**2 + 13*y - 15*y + y + 3. Give -t(f) - z(f).
-f**3 - 2*f**2 - 3
Let h(i) = 8*i**3 - 63*i**2 + 3*i. Let a(n) = -4*n**3 + 31*n**2 - 2*n + 1. Give 5*a(s) + 3*h(s).
4*s**3 - 34*s**2 - s + 5
Let g(k) be the second derivative of k**3/3 - 7*k**2/2 + k + 79. Let a(v) = 2*v**2 - 2*v + 2. Let r be a(2). Let p(x) = -1. What is r*p(d) - g(d)?
-2*d + 1
Let n(v) = v**3 - v**2. Let s(g) be the second derivative of g**5/20 - g**4/6 + g**3/3 - g**2 - 14914*g. Let q = -1 - 0. Determine q*s(y) + 2*n(y).
y**3 - 2*y + 2
Let o(v) = v**2 - 3. Let b(i) = 98*i**2 + 2*i + 11. Determine b(g) + 3*o(g).
101*g**2 + 2*g + 2
Let k(r) = -5*r - 5. Let g(x) = 725 - 729 + 102*x - 50*x - 56*x. Give 3*g(w) - 2