- 6*z**2 - 2*z. Let k(n) = 6*n**3 + 7*n**2 + 3*n - 1. What is 3*k(o) + 4*u(o)?
-2*o**3 - 3*o**2 + o - 3
Suppose 30 = 65*w + 1070. Let k(s) = s**3 - s + 1. Let c(m) = 8*m**3 - 16*m + 16. What is w*k(g) + c(g)?
-8*g**3
Let w(r) = -694*r**3 + 17*r**2 - 29*r + 23. Let n(o) = 233*o**3 - 6*o**2 + 10*o - 8. Calculate 17*n(h) + 6*w(h).
-203*h**3 - 4*h + 2
Let y(w) = -w + 1. Let k(x) be the third derivative of -x**5/12 + x**4/24 + 5*x**3/6 + 105*x**2 + 3. What is k(z) - y(z)?
-5*z**2 + 2*z + 4
Let x(l) = -85*l**3 - 4*l + 13. Let h(c) be the second derivative of -21*c**5/20 - c**3/6 + 3*c**2/2 - c + 702. Give -26*h(j) + 6*x(j).
36*j**3 + 2*j
Let a(j) = 6*j - 6. Let x(i) = -11*i + 11. Suppose -2834 = 849*z + 562. Suppose 5*y + 45 = 10. Give y*a(m) + z*x(m).
2*m - 2
Let c(s) = 773*s**2 - 12*s + 19. Let n(u) = -386*u**2 + 7*u - 11. Give -3*c(h) - 5*n(h).
-389*h**2 + h - 2
Let g = -53 - 17. Let f(u) = -300*u**2 + 70*u. Let i(l) = 13*l**2 - 3*l. Let x be (15/(-25))/(0 - (-3)/15). Determine g*i(b) + x*f(b).
-10*b**2
Let s(z) = 15*z**3 - 2*z**2 - 3*z + 14. Let y(d) = 12*d**3 - d + 12. Give 5*s(m) - 6*y(m).
3*m**3 - 10*m**2 - 9*m - 2
Let b be (0 - 0/3) + -1. Let a(f) = -f**3 + 4*f + 1. Let z(w) = w + 1. Suppose -4*s = -3*v - 37, 0 = -108*s + 110*s - v - 15. What is b*a(n) + s*z(n)?
n**3 + 3
Let d(s) = -7*s**3 + s**2 - 6*s - 2. Suppose 134 - 22 = 16*f. Let b be (-36)/8*(-8)/(-6). Let l(x) = -8*x**3 + x**2 - 7*x - 2. What is b*l(v) + f*d(v)?
-v**3 + v**2 - 2
Let u(s) = -s**2 - 8*s - 385. Let j(t) = t**2 + 7*t + 388. Give 5*j(f) + 4*u(f).
f**2 + 3*f + 400
Let r(p) = 24*p**2 - 4*p + 13. Let m be (-222)/30 + 102/30. Let w(n) = 6*n**2 - n + 3. What is m*r(c) + 18*w(c)?
12*c**2 - 2*c + 2
Suppose 0*d - 5*d + 450 = 5*i, -5*i - 4*d = -451. Let m(g) = 390*g**2 + 91*g + 91. Let q(l) = -13*l**2 - 3*l - 3. What is i*q(n) + 3*m(n)?
-13*n**2
Let i(g) = 291 - 321 + g + 31. Let v(c) = -7*c + 38. Give 5*i(y) + v(y).
-2*y + 43
Let h(a) = -a + 173. Let m(t) = -2*t + 192. Give -3*h(r) + 4*m(r).
-5*r + 249
Let w(d) = 7. Let g(c) be the second derivative of -c**3/6 + 7*c**2/2 + 2637*c. Give 3*g(b) - 4*w(b).
-3*b - 7
Let t(v) = 17*v**2 + 297*v - 3189. Let n(g) = 9*g**2 + 162*g - 1594. Give -11*n(a) + 6*t(a).
3*a**2 - 1600
Let t(h) = -20*h**2 - 3*h - 2. Let p(r) = -r**2 + 11*r - 6. Let s be p(1). Let b(i) = 7*i**2 + i + 1. Determine s*t(g) + 11*b(g).
-3*g**2 - g + 3
Let o(t) = t**2 - 1. Let q be o(3). Let a(d) = 14*d**2 - 8*d + 12. Let p(w) = -9*w**2 + 5*w - 8. Suppose 13*f + 12*f + 50 = 35*f. What is f*a(n) + q*p(n)?
-2*n**2 - 4
Let j(u) = 3*u**3 - u**2 - 2*u - 2. Let m(d) = -17*d**3 + 350*d**2 + 10*d + 6. Determine -4*j(b) - m(b).
5*b**3 - 346*b**2 - 2*b + 2
Let k(i) be the second derivative of -i**3/6 + 2185*i. Let b(n) = -25*n**2 + 75*n. Determine -b(f) - 75*k(f).
25*f**2
Let t(l) = 4122*l + 12. Let x(c) = -42*c + 2. Give t(i) - 5*x(i).
4332*i + 2
Let b(j) be the first derivative of -j**2/2 - 2*j + 4028. Let s(a) = 3*a + 4. What is 5*b(q) + 2*s(q)?
q - 2
Let i(s) = s + 14. Let q(a) = -5*a**2 - 14*a - 170. Determine 14*i(k) + q(k).
-5*k**2 + 26
Suppose -12*q - 2 + 26 = 0. Let y(l) = -29*l**2 - 22*l**q + 56*l**2. Let t(k) = 19*k**2. Determine -6*t(u) + 22*y(u).
-4*u**2
Let z(k) = -5*k + 2. Let s(r) = 3968*r - 124. What is s(g) + 62*z(g)?
3658*g
Suppose -239*c + 440*c + 621*c - 8190 = 3*c. Let w(l) = 4*l**2 - 5*l - 5. Let q(b) be the second derivative of -b**3/6 - b**2/2 + b. Determine c*q(u) - 2*w(u).
-8*u**2
Let y(l) = 7*l - 258. Let k(m) = 2*m - 1. What is -3*k(u) + y(u)?
u - 255
Let r(j) = j**3 + j**2 - 2*j - 1. Let h(v) = 230*v**3 - v**2 + 7*v + 4. Calculate h(d) + 3*r(d).
233*d**3 + 2*d**2 + d + 1
Let b(v) = -22*v**3 + 11*v**2 - 66*v - 4. Let a(k) = 14*k**3 - 11*k**2 + 64*k + 3. Determine 3*a(o) + 2*b(o).
-2*o**3 - 11*o**2 + 60*o + 1
Let a(v) = v**2 - v - 4. Let x(u) = 54767*u - 3*u**2 - 54752*u + 7*u**2 + 55 - 19*u**2. Calculate 55*a(d) + 4*x(d).
-5*d**2 + 5*d
Let p(b) = 148*b + 83. Let l(d) = 75*d + 49. What is 5*l(k) - 3*p(k)?
-69*k - 4
Let u(o) = -228 + 489 + o - 261. Let d(c) = -c**3 - 6*c**2 - 8*c - 7. Let i be d(-5). Let m = 348 - 345. Let a(n) = -2*n. Give i*u(b) + m*a(b).
2*b
Suppose -5*u + 181*t = 177*t - 44, -t - 26 = -5*u. Let l(m) = 21*m**3 + 5*m**2 + 5*m + 5. Let a(r) = -22*r**3 - 4*r**2 - 4*r - 4. Give u*l(c) + 5*a(c).
-26*c**3
Let w(g) = 15*g**3 + 15*g**2 + 251*g - 5. Let r(d) = -16*d**3 - 14*d**2 - 300*d + 6. Calculate -5*r(i) - 6*w(i).
-10*i**3 - 20*i**2 - 6*i
Let d(p) be the first derivative of -p**2/2 + p + 160258. Let f(k) = 25*k + 1 - 11 - 20. Determine 30*d(u) + f(u).
-5*u
Let d(b) = -7*b**2 + 6*b + 3. Suppose -16*t - 706 + 786 = 0. Let x(s) = -s**2 + 1. Give t*x(j) - d(j).
2*j**2 - 6*j + 2
Let a(y) = 5*y - 2422. Let z(q) = -3*q + 1210. Give -4*a(k) - 7*z(k).
k + 1218
Let q(c) = 53*c - 117. Let t(j) = -6*j - 3. Calculate q(l) + 8*t(l).
5*l - 141
Let y(j) = 6*j + 67. Let u(a) = -5*a - 101. Determine 5*u(d) + 7*y(d).
17*d - 36
Let l(c) = 11*c - 11. Let j(d) = d**3 - 32*d**2 + 7*d + 73. Let t be j(31). Let w = t - -658. Let i(r) = 5*r - 5. Calculate w*i(y) + 6*l(y).
y - 1
Let h(x) be the third derivative of 0*x + 1/24*x**4 + 0 - 1/6*x**3 + 34*x**2. Let f = -47 - -42. Let b(l) = -3*l + 1. Determine f*h(k) - 3*b(k).
4*k + 2
Let v(k) = 8*k**2 + k + 5. Suppose -3*n = -30*n + 162. Let h(i) = 9*i**2 + i + 6. Calculate n*v(r) - 5*h(r).
3*r**2 + r
Let y(x) = -3*x + 6. Let n(b) = 3*b - 5. Let r(q) = 2*q**3 + 70*q**2 - 70*q + 67. Let j be r(-36). Give j*y(a) - 4*n(a).
3*a - 10
Let b(r) = 42*r + 1. Let t(o) = -127*o - 4. Let i = 12538 + -12545. Give i*b(k) - 2*t(k).
-40*k + 1
Let n(y) = 75*y**2 + 57*y + 30. Let g(j) = -149*j**2 - 116*j - 70. Give -3*g(k) - 7*n(k).
-78*k**2 - 51*k
Suppose 0 = -4*p + 20*x - 16*x + 576, p + 3*x = 140. Let g(j) = 407*j**2 + 143*j + 143. Let s(f) = 17*f**2 + 6*f + 6. What is p*s(a) - 6*g(a)?
-11*a**2
Suppose -16 = 5*k + 9. Let t(z) = z**2 - z + 1. Let b be (408/(-510))/((-4)/(-10)). Let l(d) = 3*d - d**2 - d - 2*d**2 - 3. Determine b*l(s) + k*t(s).
s**2 + s + 1
Let z(r) = r**2 - 5*r - 1. Suppose -16*w - 1194 = -1258. Let g(x) = 3*x**2 - 11*x - 2. Calculate w*g(i) - 9*z(i).
3*i**2 + i + 1
Let g(o) = o**2 + 3*o - 5. Let h(l) be the first derivative of -4*l**3/3 - 7*l**2 + 26*l - 12711. Let a be (-1 + -2 + 6)/(-1). Give a*h(u) - 14*g(u).
-2*u**2 - 8
Let n(m) = m. Suppose -z = 3*z. Suppose 3*r - 11 = -4*q + 3, -4*r - 5*q + 17 = z. Let i(t) = -30 + 21 - 3*t + 8. Determine r*n(a) - i(a).
a + 1
Let d(i) = 9*i**2 - 2*i - 2. Let j(l) = 198*l**2 - 45*l - 45. Let g be (-5)/((-28)/21*9/324). What is g*d(a) - 6*j(a)?
27*a**2
Let x(c) = c**3 - c**2 + c. Let k(v) = 5*v**3 - 6*v**2 + 6*v. Let n be (2/(-6))/((-28)/126)*4. What is n*x(z) - k(z)?
z**3
Let g(y) = -y + 1. Let p be (2/(-5))/((-2)/(-80)*-2). Suppose 280 = 6*o + p*o. Let a(d) = -3*d + 4. Determine o*g(c) - 5*a(c).
-5*c
Let s be 3 + 0/5 + 11. Let x = -16 + s. Let c(r) = -r**2 - r - 1. Let o(h) = 7 + 149*h**2 + 156*h**2 + 7*h - 297*h**2. Give x*o(g) - 14*c(g).
-2*g**2
Let b(y) = 8*y + 4. Suppose 0 = u - 3*v + 27, 2*u - v + 112 = 38. Let k = 38 + u. Let i be (k + 0)*(5 - -2). Let s(z) = 7*z + 3. Determine i*s(m) + 6*b(m).
-m + 3
Let s(k) = 2*k**2 - 24. Let q(t) = 10*t**2 - 7*t - 18. Let d(m) = m**2 - m + 1. Let j(r) = 7*d(r) - q(r). Determine 3*j(i) + 4*s(i).
-i**2 - 21
Let r(t) = -2 - 6 + 6 + t**2 + 1. Let w = -297 + 296. Let g(i) = -2*i**2 + 1. Let m be g(1). Let j(f) = 1. What is m*r(n) + w*j(n)?
-n**2
Let p(i) = -70*i - 625. Let z be p(-9). Let l(u) = -4*u**3 - 6*u**2 - 5*u - 1. Let n(a) = a**3 + a - 1. Give z*n(c) + l(c).
c**3 - 6*c**2 - 6
Let k(a) = 13*a - 5. Let f(q) = 40*q - 16. Let i = 55 + -40. Suppose 0 = -i*l + 75 + 165. Give l*k(d) - 5*f(d).
8*d
Let t(u) = 7*u**2 - 180*u - 20. Let z(m) = 2*m**2 - 32*m. Calculate -t(i) + 5*z(i).
3*i**2 + 20*i + 20
Let a(g) = -g + 3. Suppose 3*m - 78 - 306 = 0. Let s(p) = -250*p + m*p - 2 + 126*p - 6. What is 8*a(o) + 3*s(o)?
4*o
Suppose 0 = -3*k - 4*d + 10, -27 = -3*k + 3*d - 24. Let a(z) = -z**3 - z + 1. Let q(g) = -g**3 + 2*g - 3. What is k*q(o) + 6*a(o)?
-8*o**3 - 2*o
Let w(n) = -13*n + 117. Let l(q) = -922*q + 63. Let z(t) = 739*t - 62. Let h(d) = 4*l(d) + 5*z(d). Give -11*h(a) - 6*w(a).
a - 64
Let i(f) = -2742*f**3 - 10*f**2 - 5*f - 10. Let r(d) =