- 7
Let a(w) = -3*w**2 + 5*w - 8. Let y(h) = -9*h**2 - 4*h - 39. Let t(k) = 8*k**2 + 3*k + 34. Let s(b) = -7*t(b) - 6*y(b). Give -3*a(g) + 5*s(g).
-g**2 + 4
Let k(s) = 86*s**3 + s**2 - 25*s - 1. Let y(b) = b**3 + 5*b - 1. Calculate -k(r) - 5*y(r).
-91*r**3 - r**2 + 6
Let i(v) = v**3 + v - 1. Suppose -874 = 142*b - 164. Let u(n) = -6*n**3 + 2*n**2 - 5*n - 11. What is b*i(j) - u(j)?
j**3 - 2*j**2 + 16
Let o(c) = -26*c + 61*c + 15 + 22*c. Suppose 52*b = 7*b + 90. Suppose -f - 74 = 5*y, 5*y - 3*f - b*f = -80. Let j(x) = 8*x + 2. Calculate y*j(g) + 2*o(g).
-6*g
Let s(g) = -12239550*g**2 + 3688*g + 7376. Let b(h) = -16596*h**2 + 5*h + 10. What is -3688*b(i) + 5*s(i)?
8298*i**2
Suppose -3*r + 6 = 15. Let c(y) = -17*y**3 - 11*y**2 + 14. Let o(b) = 77*b**2 - 73*b**2 - b**3 - 5 + 44*b**3 - 37*b**3. Determine r*c(j) - 8*o(j).
3*j**3 + j**2 - 2
Let j(r) = -430*r**3 - 8*r**2 - 2*r - 4. Let s(z) = -427*z**3 - 9*z**2 - 3*z - 5. Calculate -5*j(y) + 4*s(y).
442*y**3 + 4*y**2 - 2*y
Suppose 6437*f - 6451*f - 14 = 0. Let m(g) = g - 1. Let y(q) = -8*q**2 + 3*q - 3. Give f*y(a) + 5*m(a).
8*a**2 + 2*a - 2
Let m = -62 + 22. Let y(u) = 25*u**2 + 40*u. Suppose 6*t + 6*t + 57 = -7*t. Let j(w) = -2*w - 2*w - 2*w**2 + w. Give m*j(p) + t*y(p).
5*p**2
Let s(u) = 381*u + 19. Let f(w) = -1134*w - 60. Give 4*f(x) + 13*s(x).
417*x + 7
Let s(p) = p**3 - p + 1. Let i(o) = 9*o**3 - o**2 - o + 1. Suppose 22 = -2*j + 4*u, j - 4*u + 0 = -21. Determine j*s(x) + i(x).
8*x**3 - x**2
Let l(p) = -37*p**3 - 7*p**2 + 7. Let t(o) = -12*o**3 - 2*o**2 + 2. Let u = 252 + -242. Let i be 14*(-3 - (-25)/u). Calculate i*t(r) + 2*l(r).
10*r**3
Let g(t) = -t - 1. Suppose 10*j = 9*j + 4. Let y(l) be the first derivative of -l - 15 - 1/2*l**2. What is j*y(d) - 3*g(d)?
-d - 1
Let f(k) = k**3 - k**2. Suppose 2*j - 20 = -4. Suppose 13*h + 17 = j*h + z, -4*z = -5*h - 8. Let r(m) = m**3 - m**2. Give h*r(g) + 5*f(g).
g**3 - g**2
Let v(f) = f**3 - f**2 - 11*f - 13. Let o be v(-2). Let c(g) = 6*g**3 - 2*g**2 + 4. Let m(i) = i**3 + 2*i**2 - 7*i**3 - i**2 + 3*i**3 - 2. Give o*c(z) - 5*m(z).
-3*z**3 + z**2 - 2
Let o(f) = -18*f - 2. Suppose 94*w = 142 + 289 - 55. Let j(a) = -17*a - 1. Give w*o(x) - 5*j(x).
13*x - 3
Let b(x) be the second derivative of -1/6*x**3 + 2*x**2 + 0 + 3*x. Suppose 29 = 14*u - 41. Let t(y) = -y + 6. Determine u*t(i) - 8*b(i).
3*i - 2
Let s(p) = 5383*p + 3. Let j(u) = 10741*u + 5. Determine 4*j(g) - 7*s(g).
5283*g - 1
Suppose -31*g + 109 = 24*g - 276. Let l(y) = -2*y**2 - y + 15. Let q(f) = 4*f**2 + 3*f - 30. Calculate g*l(z) + 3*q(z).
-2*z**2 + 2*z + 15
Let f(v) = -7*v**2 + 2*v - 2. Let o(q) = -6*q**2 + 3*q - 2. Give 4*f(z) - 3*o(z).
-10*z**2 - z - 2
Suppose 0 = -2*d - 9 + 13. Let i(w) = -61*w**2 - 16*w - 3*w**3 + 62*w**2 + 14*w. Let p(t) = 3*t**3 - t**2 + 3*t - 1. Give d*p(s) + 3*i(s).
-3*s**3 + s**2 - 2
Let t(z) = 109*z - 1749. Let l be t(16). Let o(x) = -x. Let y(a) = -15*a - 1. Determine l*o(k) - y(k).
20*k + 1
Let d(m) = m**3 - 5*m**2 + 7*m + 3. Let f(i) = -i**2 - i + 1. Let b be f(2). Let s(r) = -30690*r + 1 + r**2 + 30691*r - 2*r**2. Give b*s(x) + d(x).
x**3 + 2*x - 2
Let s(k) = 2*k**2 - 6*k - 8. Let a(c) = -c**2 + 5*c + 7. Suppose -35*o = -4*o + 124. Give o*a(v) - 3*s(v).
-2*v**2 - 2*v - 4
Let p = 8 - 3. Let f(s) = 2*s**2 + 3*s + 3. Let n(a) be the second derivative of -a**4/4 - 2*a**3/3 - 2*a**2 - 3*a + 41. Give p*n(i) + 6*f(i).
-3*i**2 - 2*i - 2
Let b(g) = 4270*g - 6. Let v(x) = 21337*x - 32. Give -11*b(w) + 2*v(w).
-4296*w + 2
Let c(u) = -4 + 3 - u**2 + 2*u**2 - u. Suppose -8*f - 12*f + 88 = 2*f. Let a(v) = -v**2 + 2*v + 2. Give f*c(h) + 2*a(h).
2*h**2
Let h(y) = -462*y - 156. Let r(o) = 168*o + 57. Calculate -11*h(z) - 30*r(z).
42*z + 6
Let o(l) be the third derivative of -17*l**6/40 + l**5/12 - l**4/24 + 3258*l**2. Let q(p) = 25*p**3 - 2*p**2. What is 2*o(c) + 5*q(c)?
23*c**3 - 2*c
Let n(x) = x**3 - x**2 - x - 1. Let s be 2/(-27) + (-667)/(-621). Let a(p) = -5*p**3 - 4*p**2. What is s*a(u) + 2*n(u)?
-3*u**3 - 6*u**2 - 2*u - 2
Let k(n) = -123*n - 103. Let o(h) = 123*h + 85. Determine -5*k(a) - 6*o(a).
-123*a + 5
Let v(o) = 6*o**3 - 234*o**2 - 16*o - 7. Let a(t) = -8*t**3 + 235*t**2 + 20*t + 9. Calculate -4*a(g) - 5*v(g).
2*g**3 + 230*g**2 - 1
Let y(g) = -248*g + 1242. Let q(k) = -329*k + 1242. Give 3*q(w) - 4*y(w).
5*w - 1242
Let a(j) = -18*j**3 + 3*j**2 - 9*j + 32. Let f(p) = 71*p**3 - 13*p**2 + 40*p - 128. Give 9*a(o) + 2*f(o).
-20*o**3 + o**2 - o + 32
Let y(k) = -k**2. Let f(n) = 5*n + 8 + 4*n**2 - 8. Let v be (7 - 5)*(-1 - (-28)/8). Calculate v*y(r) + f(r).
-r**2 + 5*r
Let i(g) = -4*g**3 + 3*g**2 - 13*g. Let w(s) = s**3 - 39*s**2 + 105*s + 105. Let v be w(36). Let h(t) = -t**3 + t**2. Give v*h(c) + i(c).
-c**3 - 13*c
Let g(b) be the third derivative of b**5/10 + b**4/24 + b**3/2 - 10*b**2 + 5. Suppose 0 = -15*w + 12*w - 12. Let a(r) = 5*r**2 + r + 2. What is w*a(f) + 3*g(f)?
-2*f**2 - f + 1
Let u(v) = 4*v**2 - 4*v - 6. Suppose -5*l = -3*s - 19, -6 + 16 = 2*l - 2*s. Let x(r) = r**2 + r**l + 1 - 3*r + r + 0*r - 4. What is 4*u(d) - 9*x(d)?
-2*d**2 + 2*d + 3
Let s(b) = -b - b**3 - 2*b**3 + 4 - 2*b - 2*b**3. Suppose w + i = 7, i + 29 = -3*w + 42. Let c(f) = -f**3 + 1. Determine w*c(d) - s(d).
2*d**3 + 3*d - 1
Let q(n) = -814*n**3 - 4*n**2 + 4*n + 4. Let f(l) = 1629*l**3 + 9*l**2 - 10*l - 10. Calculate 2*f(u) + 5*q(u).
-812*u**3 - 2*u**2
Let f(y) = y**3 + y**2 + y + 1. Let n(p) = 11*p**3 - 2*p**2 - 2*p - 3. Let t(q) = 3*q**3 - 1. Let s(k) = -n(k) + t(k). Calculate -4*f(h) + 2*s(h).
-20*h**3
Let g(h) = 10550*h - 21091*h - 6 + 10545*h. Let q(o) = -9*o + 13. Calculate -7*g(v) - 3*q(v).
-v + 3
Let o(h) be the third derivative of -5/6*h**3 + 56*h**2 + 1/12*h**4 + 0 + 0*h. Let s(r) = 1. Calculate -o(n) - 3*s(n).
-2*n + 2
Let d(a) = -26*a**2 + 14*a - 25. Let s(b) = 9*b**2 - 3*b + 8. Calculate 3*d(y) + 8*s(y).
-6*y**2 + 18*y - 11
Let j(h) = 6*h**2 - 6*h + 6. Let f(m) = 5*m - 5. Calculate -6*f(o) - 5*j(o).
-30*o**2
Let j(q) = -6*q**2 + 169*q - 35. Let h(r) = r**2 - 34*r + 7. Calculate 11*h(t) + 2*j(t).
-t**2 - 36*t + 7
Let b(r) = 2. Let x(q) = q - 7. Let g = -84 - -88. Suppose 4*f + 2*k = -14 + 2, 0 = -5*f + g*k - 2. Determine f*x(w) - 7*b(w).
-2*w
Let q(z) = 2*z**3 - z**2 + z + 1. Let k(r) = -92*r**3 - 5*r**2 + 4*r + 4. What is k(g) - 4*q(g)?
-100*g**3 - g**2
Let w(m) = 4*m**2 + 48*m + 8. Let r(i) = -i**2 + i + 2. Give -4*r(h) + w(h).
8*h**2 + 44*h
Let m(k) = -25*k**2 + 1. Let o(u) = 25*u**2 - 1. Let b be (4/(-5))/(6/630*-14). Calculate b*m(s) + 5*o(s).
-25*s**2 + 1
Let p(u) = -19*u**3. Let f(y) = -15643999*y**2 + 15643999*y**2 - 96*y**3. What is -3*f(g) + 14*p(g)?
22*g**3
Let b(s) = -15*s**2 + s**2 - 4 + 11*s**2 + 3. Let h be (-3)/(-2)*2 - (-7 - -5). Suppose 0 = 4*n - h*n - 11. Let j(c) = -8*c**2 - 2. Calculate n*b(x) + 4*j(x).
x**2 + 3
Let l = -284 + 282. Let k(y) = y**3 + 3*y**2 - 2*y - 6. Let x be k(l). Let u(s) = s - 1. Let z(c) = 2*c**2 - 18*c + 18. Calculate x*z(r) + 36*u(r).
4*r**2
Let h(m) = -1679*m + 1. Let n(s) = -2*s. Give -h(v) + 3*n(v).
1673*v - 1
Let z(a) = -16*a**2 - a - 1. Let y(j) = 693*j**2 + j + 4. What is -y(w) - 4*z(w)?
-629*w**2 + 3*w
Let x(v) = -7*v**3 + 2025*v**2 - 15. Let w(z) = 12*z**3 - 4050*z**2 + 27. Give -5*w(b) - 9*x(b).
3*b**3 + 2025*b**2
Let i(p) = -4*p - 4. Let n(a) be the first derivative of -4*a**2 - 7*a + 2949. What is 5*i(v) - 3*n(v)?
4*v + 1
Let q(p) = -2*p + 7. Let r(k) = 5*k + 17. Let y(i) = -32*i - 113. Let s(h) = 39*r(h) + 6*y(h). Calculate 13*q(w) + 6*s(w).
-8*w + 1
Let w = 78 + -55. Suppose 3*m + 2*y = -m + 30, -3*m - 2*y = -w. Suppose 6 = m*d + 48. Let g(r) = -r + 2. Let q(u) = 8*u - 17. Give d*q(c) - 51*g(c).
3*c
Let m be 67/(1072/(-24)) + 38/4. Let g(k) = 7*k - 10. Let w(b) = 20*b - 31. Give m*g(a) - 3*w(a).
-4*a + 13
Let p(h) = -1817*h - 31. Let j(g) = -606*g - 11. Calculate 11*j(s) - 4*p(s).
602*s + 3
Let z(x) = 424*x + 22050. Let r be z(-52). Let c(l) = 14*l - 5. Let a(n) = 3 - 7*n - 3 + 2. Calculate r*c(t) + 5*a(t).
-7*t
Let q(c) = 2*c. Suppose 2*s = -x + 34, -3*x + x - 60 = -4*s. Let l be (s/24)/((-2)/(-9)). Let k(m) = 1 + 16 - 5 - 6 - 5. Give l*k(w) - q(w).
-2*w + 3
Let g(k) = 60*k - 4. Let x(m) = 43*m - 5. What is 6*g(t) - 5*x(t)?
145*t + 1
Suppose -31*q + 30*q + 5*i = -2, -4*i - 4 = 0. Let n(u) = 2*u**2 - 2*u - 2. Let k(g) = -3