12*n**2 - n
Let o(s) = 4*s**2 + 2*s - 3. Let c(y) = -4*y**2 - 4*y + 3. Let a(x) = x**2 - 1. Let i(z) = -3*a(z) + c(z). Calculate -6*i(d) - 11*o(d).
-2*d**2 + 2*d - 3
Let q(n) = -2*n**2. Let l = 29 - 27. Suppose -4 - l = 3*j. Let c(t) = 3*t**2. What is j*c(v) - 5*q(v)?
4*v**2
Let i(v) = -2*v**3 - 13*v**2 - 5*v - 4. Let w(u) be the third derivative of u**6/120 + 7*u**5/60 + u**4/8 + u**3/3 + 577*u**2. Determine -3*i(m) - 5*w(m).
m**3 + 4*m**2 + 2
Let n(z) = z**2 + 1. Let y = -96 + 100. Let u(m) = -2*m**2 - 3. Determine y*n(h) + u(h).
2*h**2 + 1
Let u(y) = 51022*y**3 + 776*y**2. Let x(t) = -197*t**3 - 3*t**2. Calculate 3*u(f) + 776*x(f).
194*f**3
Let g(o) = -7*o**3 - 4*o**2 - 4*o - 4. Let b(k) be the third derivative of -7*k**6/120 - k**5/12 - 5*k**4/24 - 5*k**3/6 - 60*k**2. Calculate -4*b(t) + 5*g(t).
-7*t**3
Let t(j) = -237*j**2 - 4*j - 6. Let o(b) = -237*b**2 - 5*b - 8. What is 3*o(i) - 4*t(i)?
237*i**2 + i
Let g(p) = 7*p**2 - p + 6. Let x(o) = -o**2 - o - 2. Determine -g(n) - 2*x(n).
-5*n**2 + 3*n - 2
Suppose -1 = -2*b - 5. Let x(w) be the second derivative of w**5/5 - w**4/4 + 3*w - 3. Let q(d) = -4*d**3 + 2*d**2. Calculate b*x(j) - 3*q(j).
4*j**3
Let k(o) = 8*o. Let v(x) = -755*x + 1. Give -2*k(r) + v(r).
-771*r + 1
Let d(w) = -2*w**2 + 25*w - 66. Let b be d(8). Let u(n) = -7*n**2 + 6*n + 6. Let c(z) = 6*z**2 - 7*z - 7. Calculate b*c(v) + 7*u(v).
-13*v**2
Suppose -24*p + 20 = -19*p. Suppose 2*v + 2 = p*m, 4*v + 2 = 2*v - 3*m. Let a(b) = 3*b**3 - 3*b**2 - 3. Let n(s) = s**2 + 1. What is v*a(q) - 3*n(q)?
-3*q**3
Let d(q) = -5*q**2 + 4*q - 3. Let f(b) = 3*b - 6*b - 65 + 68 + 4*b**2. Calculate -2*d(v) - 3*f(v).
-2*v**2 + v - 3
Let x(r) = -2*r**2 - r - 4. Let s(u) = -5*u**2 - 3*u - 11. Let v(k) = 4*k + 9. Let l be v(-5). Give l*x(f) + 4*s(f).
2*f**2 - f
Let z(f) = -14*f**2 + 9*f + 9. Let s(n) be the third derivative of -7*n**5/60 + n**4/6 + 2*n**3/3 + 8*n**2 + 1. Calculate -9*s(h) + 4*z(h).
7*h**2
Let s = 7 + -13. Let r(f) = 1. Let y = 8 - 4. Let n(i) = -1 + 3*i + y - 6*i + 4*i. Determine s*r(x) + 2*n(x).
2*x
Let u(k) = -k**2 - 36*k - 4. Let o(c) = c**2 + 37*c + 3. What is 6*o(l) + 4*u(l)?
2*l**2 + 78*l + 2
Let b(y) = y**2 - 3*y + 7. Let g(n) = -453*n**2 - 453*n**2 + 905*n**2 + 2*n - 4. Let d be (0 - 0) + 9 + -14. What is d*g(u) - 3*b(u)?
2*u**2 - u - 1
Let h(c) = -4*c**3 - 4*c**2 + 2*c + 4. Let s(v) = 17*v**3 + 18*v**2 - 9*v - 18. Give 18*h(n) + 4*s(n).
-4*n**3
Let k = -479 + 476. Let q(m) = 10*m + 1. Let b(x) = 19*x + 1. What is k*b(i) + 5*q(i)?
-7*i + 2
Let r = -64 + 58. Let b(g) = -g**3 + g**2 + g. Let o(u) = -6*u**2 - 6*u + 1. Give r*b(w) - o(w).
6*w**3 - 1
Let n(l) be the third derivative of l**5/30 + l**4/8 - l**3/2 + 5*l**2. Let t = 19 - 26. Let a(k) = 6 - 5*k + 1 - 5*k**2 - 2*k. Give t*n(i) - 3*a(i).
i**2
Let v(a) = 2*a**2 + 4. Let m(b) = -b**3 - 6*b**2 + b - 10. Let y(r) = -2*m(r) - 5*v(r). Let x(w) = -w**3 - 3*w**2 + 3*w. What is -2*x(p) - 3*y(p)?
-4*p**3
Let s(y) = 2*y - 4. Let b be s(2). Let j(g) = -39 + 34 + b*g + g. Let a(l) = 2*l - 11. Calculate 3*a(v) - 7*j(v).
-v + 2
Suppose -2*m - 350 = 5*j, 4*j - 3*j = -2. Let i be (0 + 3)/(17/m). Let q be ((-40)/(-50))/(4/i). Let t(k) = -2*k - 3. Let c(h) = 3*h + 5. Give q*c(y) - 10*t(y).
2*y
Let j(i) = -51*i + 81. Let b(u) = u - 4. What is 42*b(a) + 2*j(a)?
-60*a - 6
Let n(t) = -t**3 + t**2. Let g(f) = f**2. Let p = -1069 - -1072. What is p*n(b) - 2*g(b)?
-3*b**3 + b**2
Let m(s) = -13*s + 4. Let y(c) = -7*c + 2. Let x = 301 - 312. Calculate x*y(b) + 6*m(b).
-b + 2
Let a(f) = 12*f - 74. Let u(i) = i + 5. What is -2*a(w) + 22*u(w)?
-2*w + 258
Let j(v) = 12*v. Let y = 224 + -209. Let n(h) = 48*h. Calculate y*j(r) - 4*n(r).
-12*r
Let t(s) = s + 28. Let i(w) = -27. What is 3*i(v) + 2*t(v)?
2*v - 25
Let z(y) = -11*y**2 + 4*y. Let t(m) = -23*m**2 + 9*m. Suppose 2*f + 86 - 94 = 0. Determine f*t(b) - 9*z(b).
7*b**2
Let o(n) = 399*n - 21. Let u(j) = -20*j + 1. Give -6*o(m) - 119*u(m).
-14*m + 7
Let y(i) = -5*i**3 - 4*i**2 - 3*i - 1. Let n(f) = -f**3 + f**2 - 2*f - 1. Give -2*n(a) + y(a).
-3*a**3 - 6*a**2 + a + 1
Let d(x) = -x**3 + x + 1. Let q(m) = 6*m**3 - 72*m - 4. Give 4*d(j) + q(j).
2*j**3 - 68*j
Let s(q) = 18*q**2 + 19*q**2 - 49*q**2 + 2 - 20*q + 18*q + 14*q**2. Let k(m) = 2*m**2 - 2*m + 3. What is 5*k(n) - 6*s(n)?
-2*n**2 + 2*n + 3
Let m(w) = -1. Suppose -32 = -b - 3*b. Let g(o) = -4*o + 0*o - 2 + b + 3*o. Let j be 15/(-8) + 1/(-8)*1. What is j*g(z) - 11*m(z)?
2*z - 1
Let f(m) = m. Let o(i) = 1. Let t(y) = f(y) + o(y). Let n(a) = -a. Let x be 4/(-7)*112/(-32). Calculate x*t(h) + n(h).
h + 2
Let b(p) = 1. Let k(u) = u + 3. Suppose 48 - 44 = 4*n. Determine n*k(j) - 3*b(j).
j
Let d(b) = -b**2 + 3*b. Let l = 59 - 83. Let j = l - -27. Let x(k) = -2*k. Determine j*x(f) + 2*d(f).
-2*f**2
Let t(j) be the second derivative of -13*j**5/20 + j**3/2 - 676*j. Let i(u) = -390*u**3 + 91*u. Determine 3*i(m) - 91*t(m).
13*m**3
Let q(s) = 34*s + 3. Let u(m) = 176*m + 16. Determine -16*q(k) + 3*u(k).
-16*k
Let d be 2 + -3 + 9 - 2. Let k(a) = 24*a**2 + 4*a + 28. Let i(p) = 8*p**2 + p + 10. Let l(z) = -17*i(z) + 6*k(z). Let g(u) = u**2 + u. Give d*g(j) - l(j).
-2*j**2 - j + 2
Let z(a) = 81*a + 33. Let p = 67 - 34. Let s(t) = 5*t + 2. What is p*s(n) - 2*z(n)?
3*n
Let b(h) = -17*h**2 - 51*h. Let z(p) = 11*p**2 + 34*p. What is 5*b(m) + 7*z(m)?
-8*m**2 - 17*m
Let j(c) = 5*c**2 - 99*c + 6. Let x(a) = -11*a**2 + 198*a - 13. What is -13*j(n) - 6*x(n)?
n**2 + 99*n
Let x(m) = m**3. Let v(f) = f**3 - f**2 + 2*f - 1. Let y(b) = -14*b**3 + 5*b**2 - 10*b + 5. Let w(h) = 5*v(h) + y(h). Give -w(r) - 3*x(r).
6*r**3
Suppose 2*n = 6*n - 3*w + 16, 0 = 5*n - w + 31. Let v(s) = -10*s**2 - 10*s - 6. Let q(x) = 7*x**2 + 7*x + 4. Calculate n*q(b) - 5*v(b).
b**2 + b + 2
Let n(d) = -11*d + 72. Let w be n(7). Let s(x) = -3*x + 2. Let c(h) = 3*h + 2. Let o(i) = -3*i - 3. Let p(a) = -5*c(a) - 4*o(a). Determine w*s(z) + 4*p(z).
3*z - 2
Let q(f) = 9*f**3 + 6*f**2 + 7*f + 4. Let x(s) = 8*s**3 + 39 + 5*s**2 + 6*s + 2*s - 2*s - 36. What is 5*q(b) - 6*x(b)?
-3*b**3 - b + 2
Let l(a) = 137218*a**2 - 3454*a. Let s(v) = -159*v**2 + 4*v. Calculate -4*l(t) - 3454*s(t).
314*t**2
Let h(a) = -a. Suppose s + 1 = -5*j - 4, -2*j - 9 = -s. Let l(n) = -7. Let t(m) = 3. Let f(d) = j*l(d) - 5*t(d). Determine -2*f(z) - h(z).
z + 2
Let r = -1 + -1. Let s(p) = 4*p**2 - 5*p - 2. Let g(k) = -2*k - 4*k + 436 + 5*k**2 - 439. Determine r*g(v) + 3*s(v).
2*v**2 - 3*v
Let y(c) = -c - 6. Let m be (-2)/(-5) + -1*192/30. Let r(t) = -3*t - 17. Determine m*r(b) + 17*y(b).
b
Let g(r) = -5*r**3 + r**2 - 5*r - 5. Let z be g(-1). Let v be 14/1*3/6. Let m(w) = -7*w + 2. Let l(c) = 8*c - 2. Calculate v*m(s) + z*l(s).
-s + 2
Let a(x) be the first derivative of -x**3/3 + x**2/2 - 3*x - 152. Let j(y) = 4*y**2 - 2 + 2*y**2 - 2*y - 4*y**2 + 6. Determine 3*a(f) + 2*j(f).
f**2 - f - 1
Suppose -3*h + 6 = -2*h. Let w be (-412)/(-2)*2/((-8)/(-2)). Let c = -69 + w. Let l(x) = -x - 2. Let k(g) = 6*g + 11. Determine c*l(b) + h*k(b).
2*b - 2
Suppose 0 = -0*t - t + 5, 0 = -o + 4*t. Let u(w) = -1 + o*w + 3*w**2 - 36*w + 15*w + w**2. Let v(a) = a**2 - a. Give -u(h) + 2*v(h).
-2*h**2 - h + 1
Let o(y) = -193*y + 37. Let p(l) = 385*l - 61. Give -5*o(t) - 3*p(t).
-190*t - 2
Let m(u) = u**2 + 13*u + 1. Let h(l) = l**2 + 28*l + 2. Give 3*h(k) - 5*m(k).
-2*k**2 + 19*k + 1
Let n(v) = 26*v**2 + 2*v - 144. Let w(k) = -31*k**2 - 2*k + 145. Calculate 6*n(f) + 5*w(f).
f**2 + 2*f - 139
Let c(l) = -38*l**3 - 3*l**2 - 7*l - 3. Let z(s) = -19*s**3 - s**2 - 3*s - 1. What is 3*c(p) - 7*z(p)?
19*p**3 - 2*p**2 - 2
Let y(w) = 352*w**2 - 11. Let c(t) = -235*t**2 + 7. Determine 8*c(a) + 5*y(a).
-120*a**2 + 1
Let d(o) = o. Let m be d(2). Let p be m/(-4) + (-176)/(-32). Let l(f) = -4 - 66*f + 0 + 68*f. Let w(a) = 2*a - 5. Give p*w(g) - 6*l(g).
-2*g - 1
Let l(q) = 2*q**2 + 3*q - 6. Let z(v) = v + 1. What is l(b) - z(b)?
2*b**2 + 2*b - 7
Suppose -2*j - 2788 + 2802 = 0. Let d(w) = 4*w**2 - 3*w + 1. Let m(n) be the first derivative of n**3/3 - n**2/2 - 1. Determine j*m(l) - 2*d(l).
-l**2 - l - 2
Let q(i) = -637*i**2 - 6. Let j(d) = 213*d**2 + 2. Determine -8*j(l) - 3*q(l).
207*l**2 + 2
Let b(s) = 2*s**2 + 15*s - 19. Let o(n) be the third derivative of n**5/60 + n**4/3 - 5*n**3/3 + 12*n**2. Give 6*b(f) - 11*o(f).
f**2 + 2*f - 4
