+ 2
Let g(n) = -20001*n**2 + 1243*n + 1243. Let w(q) = -18*q**2 + q + 1. Determine -2*g(p) + 2486*w(p).
-4746*p**2
Let a(x) = 3*x - 8. Let v be (15/2 + 0)*2/1. Let g(s) = 0 - 9 - 6*s - 12 - 2 + v*s. Determine 17*a(f) - 6*g(f).
-3*f + 2
Let w(f) = 16*f**3 + 3*f**2 + 3*f + 3. Let h(g) = -g**3 + g**2 + g + 1. Let l = 5665 + -5662. Give l*h(b) - w(b).
-19*b**3
Let y(l) = l**2 + 3. Suppose 4*x = -3*p + 33, -5*p - 378*x = -377*x - 21. Suppose 4*q - 4 = 0, 6 = 5*m - 2*q - 12. Let n(t) = -2*t**2 - 4. Give m*y(c) + p*n(c).
-2*c**2
Let b(a) = 10*a**2. Let s(t) = 900*t**2 - 898*t**2 - 7 + 7. What is -3*b(l) + 16*s(l)?
2*l**2
Let d(v) = v - 5. Let f(r) = r - 6. Let p(s) = -3*d(s) + 2*f(s). Let k(u) = -u - 5. Let o(n) = -k(n) - p(n). Let m(a) = -2*a - 3. Calculate -4*m(t) - 5*o(t).
-2*t + 2
Let k = -9 + 21. Suppose -2*l = d - k, d + 2*l - 16 = -d. Let g(p) = p**2 + 3*p. Let t(o) = -o**2 - 4*o. Let x = 38 - 35. Determine d*g(f) + x*t(f).
f**2
Let i(f) = 12*f**3 - 5*f**2 - 6*f + 2. Let t(o) = -10*o**3 + 4*o**2 + 3*o - 2. Determine -3*i(x) - 4*t(x).
4*x**3 - x**2 + 6*x + 2
Let c(s) = -s - 1. Let d(n) = n - 1. Let i be (-12)/66 + 123/11. Let m(u) = -u**2 + 15*u - 32. Let l be m(i). Suppose -22 = -5*v - l. Determine v*c(f) + d(f).
-f - 3
Let o(l) = 8*l**2 + 6*l - 147. Let j(h) = -10*h**2 - 7*h + 142. Calculate 3*j(p) + 4*o(p).
2*p**2 + 3*p - 162
Let i(a) = 61 + 5055*a - 5055*a - 45 - 4*a**3. Let g(q) = -q**3 + 3. Give -14*g(t) + 3*i(t).
2*t**3 + 6
Let n(r) = 356*r**3 - 2*r**2 - 3*r - 2. Let c(q) = -356*q**3 + 3*q**2 + 5*q + 3. Give 2*c(x) + 3*n(x).
356*x**3 + x
Let s(o) = 4*o**3 - 3*o**2 - 5*o + 6. Let a be (1 - 21)/(1 - 3). Suppose 8*c = 10*c - a. Let q(k) = -k**2 - k + 1. Calculate c*q(i) - s(i).
-4*i**3 - 2*i**2 - 1
Let p(v) = 0 + 3*v**2 + v**2 + 4 + 7*v + 5*v**2. Let f(t) = -5*t**2 - 4*t - 2. Suppose 4*y + 98*s - 19 = 103*s, 3*s - 37 = -2*y. What is y*f(x) + 6*p(x)?
-x**2 - 2*x + 2
Let s(x) = -x**3 + x**2 + 29*x. Let w(t) = 3*t**3 - 2*t**2 - 59*t + 1. Give 5*s(h) + 2*w(h).
h**3 + h**2 + 27*h + 2
Let c(d) = 5*d. Let l(o) be the second derivative of -5*o**3/6 + o**2/2 - 3128*o. What is 5*c(v) + 4*l(v)?
5*v + 4
Let l(n) = 6*n**2 + n - 2. Let q(w) = 18*w**2 + 107*w + 1. Let h be q(-6). Suppose h = -5*o + 12. Let d(k) = 3*k**2 - 6*k**2 + 2*k**2. What is o*l(g) + 4*d(g)?
2*g**2 + g - 2
Let r(j) = -4*j**2. Let u(a) = 23*a**2. Let f = -6141 - -6102. Determine f*r(q) - 6*u(q).
18*q**2
Suppose -110*l = -44*l - 462. Let c(n) = 12*n**3 + 7*n**2 - 7*n + 6. Let h(s) = 11*s**3 + 6*s**2 - 6*s + 5. Calculate l*h(z) - 6*c(z).
5*z**3 - 1
Let g(t) = 7*t**3 - 5*t**2 - 5*t - 22. Let m be (-49)/12 + 1 + (-14)/(-168). Let v(i) = -4*i**3 + 3*i**2 + 3*i + 11. What is m*g(z) - 5*v(z)?
-z**3 + 11
Let q(l) = -4*l + 6627195*l**3 - 6627196*l**3 - 2*l + 7*l**2. Let o(c) = -3*c**3 + 15*c**2 - 13*c. Suppose 28 + 8 = -4*h. Determine h*q(m) + 4*o(m).
-3*m**3 - 3*m**2 + 2*m
Let r(q) be the second derivative of -5/2*q**2 - 5 + 2*q - 1/2*q**3 + 1/6*q**4. Let c(u) = -1 + 6*u**2 - 8*u - 7 - 6. Give -4*c(t) + 11*r(t).
-2*t**2 - t + 1
Let u(n) = -32*n + 3. Suppose -f - 13 = -500*h + 502*h, -5*h - 40 = -5*f. Let q(d) = 1. Determine f*u(v) - 4*q(v).
-32*v - 1
Let j(a) = -2 - 6*a**2 + 2*a**2 + 0*a + 2*a. Let i(r) = r**2 - r + 1. Suppose -56821*g + 1200 = -56941*g. Give g*i(l) - 5*j(l).
10*l**2
Let f(i) = 18*i + 3. Let p(x) = 539*x + 91. Let g = -14611 + 14429. What is g*f(l) + 6*p(l)?
-42*l
Let k(m) = 3*m**3 + 8*m**2. Let x = 358 - 349. Let t(d) = 3*d**3 + 10*d**2 - 17*d**2 + x*d**3 - 14*d**3. Calculate 4*k(g) + 5*t(g).
2*g**3 - 3*g**2
Suppose -81*x + 46*x = -245. Suppose x*n - 11 = 45. Let y(p) = -9*p**3 + 5*p**2 - 5*p + 2. Let i(f) = -14*f**3 + 8*f**2 - 8*f + 3. Determine n*y(g) - 5*i(g).
-2*g**3 + 1
Let z(j) = -9*j**2 - j - 1601. Let a(o) = -2*o**2. What is 5*a(v) - z(v)?
-v**2 + v + 1601
Let r(t) = 83*t**3 + 47*t**2 - 8*t - 24. Let q(v) = 55*v**3 + 31*v**2 - 5*v - 15. Calculate 8*q(b) - 5*r(b).
25*b**3 + 13*b**2
Let z(d) = -12*d**3 - 2*d**2 - d - 2. Let n = -5112 - -5105. Let o(p) = 25*p**3 + 5*p**2 + 3*p + 5. Calculate n*z(y) - 3*o(y).
9*y**3 - y**2 - 2*y - 1
Let c(g) = 3*g**3 + 49*g**2 - 2*g + 6. Let x(u) = -6*u**3 - 92*u**2 + 4*u - 11. Give -11*c(b) - 6*x(b).
3*b**3 + 13*b**2 - 2*b
Let q(d) = -40*d**2 + 5*d - 32. Let v(i) = -14*i**2 + 2*i - 11. Determine 6*q(t) - 17*v(t).
-2*t**2 - 4*t - 5
Let x(c) = -8*c - 3. Suppose v + 3*a - a = -4, 2*a - 20 = -5*v. Let n(o) = o. Determine v*n(i) + x(i).
-2*i - 3
Let n(r) = 3*r**2 + 2*r. Let a(j) = 472*j**2 + 472*j. Give 5*a(f) - 1180*n(f).
-1180*f**2
Let r(l) = 7*l - 3. Let a(f) = 235*f + 8 + 236*f - 726*f + 235*f. What is -3*a(m) - 8*r(m)?
4*m
Let s(r) = 106*r**2 - 37*r + 3. Let m(i) = 78*i**2 - 37*i + 3. Calculate -4*m(k) + 3*s(k).
6*k**2 + 37*k - 3
Let t(z) = 9*z**2 + 11*z - 20. Suppose 117*u - 24*u = -558. Let k(s) = 5*s**2 + 6*s - 10. Give u*t(w) + 11*k(w).
w**2 + 10
Let z(d) = -2*d**2 + 74*d - 5. Let w(l) = -l**2 + 50*l - 3. What is -7*w(t) + 5*z(t)?
-3*t**2 + 20*t - 4
Let k(s) = -s + 1. Suppose 160306*r - 160300*r = -30. Let a(g) = 0*g**2 + g**2 + 4*g + 3*g - 7. Give r*a(f) - 35*k(f).
-5*f**2
Let m(p) = 2*p**3 - p**2 - 2*p. Let k(r) = 6*r**3 - 14*r**2 - 14*r - 3. Give k(u) - 7*m(u).
-8*u**3 - 7*u**2 - 3
Let h(w) = 7*w**2 + 2*w - 3. Let u be h(1). Let o(r) be the third derivative of -r**4/8 + 5*r**3/6 - 3*r**2. Let x(z) = 2*z - 4. Calculate u*x(y) + 5*o(y).
-3*y + 1
Let x(f) = 8*f - 1. Let y(j) = -27 - 184*j + 13 + 199*j + 11. Determine -7*x(m) + 4*y(m).
4*m - 5
Let v(j) be the first derivative of j**2/2 - 1. Let q(y) = -3369*y - 81. Let g(s) = 125*s + 3. Let h(m) = -27*g(m) - q(m). Calculate h(b) + 3*v(b).
-3*b
Suppose -5*f - 85 = 10*m, -3*m - 3*f - 39 = -0*m. Let a(h) = 81*h + 11. Let i(k) = 27*k + 4. Calculate m*a(v) + 11*i(v).
-27*v
Let k(d) = 1973*d - 5. Let c(n) = -123322*n + 313. What is 5*c(z) + 313*k(z)?
939*z
Let h(c) be the first derivative of -7*c**4/4 + 91*c + 85. Let x(k) be the first derivative of h(k). Let b(n) = 7*n**2. Determine -11*b(g) - 4*x(g).
7*g**2
Let f(b) = 119*b**2 + 4*b + 4. Let x(q) = -133*q**2 - 4*q - 3. Determine 5*f(l) + 6*x(l).
-203*l**2 - 4*l + 2
Let z(i) = -8*i - 6. Let v(u) = -8*u - 7. Let o = -26 - 362. Let d = o - -395. What is d*z(m) - 6*v(m)?
-8*m
Let b(l) = -5*l + 15. Let s(g) = -13*g**2 - 140*g + 32. Let y be s(-11). Let k(i) = i. Determine y*b(t) - 3*k(t).
2*t - 15
Let v(l) = -l**3 + l**2 + l - 3. Let r(t) = -15*t**3 - 6*t**2 - 10*t + 14. Give r(u) + 5*v(u).
-20*u**3 - u**2 - 5*u - 1
Let f(r) = -1 + 11*r - 9*r + 2*r**2 - 7*r. Let z(d) = d**3 - 39*d**2 + 38*d + 5. Let o be z(38). Let k(m) = -2*m**2 + 6*m + 1. Give o*k(a) + 6*f(a).
2*a**2 - 1
Let n(i) = 1053*i - 51. Let q(z) = -527*z + 31. Calculate -3*n(k) - 5*q(k).
-524*k - 2
Let z(r) = r**3 - r**2 + r + 1. Let l = -274 + 284. Let t(i) = 12*i**3 - 12*i**2 + 10*i + 8. Give l*z(c) - t(c).
-2*c**3 + 2*c**2 + 2
Let w(o) = -24*o**3 + 11*o + 7. Let x(i) = -i**3 - i. What is -w(c) - x(c)?
25*c**3 - 10*c - 7
Let w(p) = 13*p. Let o(t) = -4147*t - 1. Give o(g) + 4*w(g).
-4095*g - 1
Let t(q) = 65855*q - 32937*q - 32931*q + 6. Let d(j) = j - 1. Determine -6*d(v) - t(v).
7*v
Let q(t) = -571*t**3 + 13*t**2 + 565*t**3 - 12*t**2 - 3. Let s(v) = 6*v**3 + 2. Determine -2*q(o) - 3*s(o).
-6*o**3 - 2*o**2
Let a(o) = -14*o + 7. Let i(p) = -5*p + 2. Suppose -14 = -3*c - 5*g, 4*c = 2*c - 4*g + 10. Suppose -c*v + 3 = -5*r + 4, 3*r + 9 = -3*v. What is v*a(y) + 7*i(y)?
-7*y
Let f(m) = -3*m**3 - 6*m + 11. Let c(j) = 10*j**3 - 2*j**2 + 13*j - 45. Let s(a) = 2*a**3 - a**2 - 11. Let u(k) = c(k) - 2*s(k). Give -13*f(t) - 6*u(t).
3*t**3 - 5
Let m(h) = 57*h + 9. Let c = -9904 + 9913. Let u(z) = -14*z - 2. Calculate c*u(j) + 2*m(j).
-12*j
Let d(k) = 2*k**3 - 6*k - 916. Let z(u) = 6*u**3 - 22*u - 3667. Give -11*d(x) + 3*z(x).
-4*x**3 - 925
Let q(n) = -11*n**3 - 9*n**2 + 4*n + 19. Let s(h) = -6*h**3 - 5*h**2 + 2*h + 11. What is -4*q(i) + 7*s(i)?
2*i**3 + i**2 - 2*i + 1
Let z be ((-145)/(-15) - 4 - 5)*3. Let y(h) = 14 - h - 2*h**z - 27 + 12 + h**2. Let a(c) = -8*c**2 - 4*c - 4. Determine -a(l) + 4*y(l).
4*l**2
Let s(i) = -4*i**3 - 7*i**2 + 7*i + 7. Let p be (-15)/(3 + -108) - (-54)/14. Let b(t) = p*t**3 - 2*t**3 + 1 + 3*t**2 - 5 + 1 - 3*t. Calculate 7*b(f) + 3*s(f).
2*f**3
Let b(d) = -13*d**3