- 1
Let p be 366/(-2013) - 62/22. Let g(q) = q**2 + 2*q - 4. Let b(h) = 3*h - 3. Calculate p*b(j) + 2*g(j).
2*j**2 - 5*j + 1
Let a(i) = -11*i**3 - 4*i**2 - i. Let c(w) = -12*w**3 - 6*w**2 - w - 1. What is -3*a(m) + 2*c(m)?
9*m**3 + m - 2
Let m(r) = 11*r - 3*r - 6*r - r**3 + 4 - 2*r**2. Let s(g) = -g**3 - 2*g**2 + g + 3. Suppose -64 = -4*z + 40. Let a = 30 - z. What is a*s(l) - 3*m(l)?
-l**3 - 2*l**2 - 2*l
Let f(o) = o**2 - 4*o + 89. Let d(l) = 5*l**2 - 17*l + 356. Give 2*d(m) - 9*f(m).
m**2 + 2*m - 89
Suppose 0 = 4*x - 2*j - 54, 15*x - 2*j = 19*x - 34. Let m(t) = 2*t**3 + 2*t**2 - 5*t. Let q(a) = -6*a**3 - 6*a**2 + 14*a. Calculate x*m(u) + 4*q(u).
-2*u**3 - 2*u**2 + u
Let p(f) = 9*f**2. Let x(t) = 10*t**2. Suppose -2*y + 13 = 1. Give y*x(a) - 7*p(a).
-3*a**2
Let m(f) be the second derivative of 0 - 5/2*f**3 + 11/2*f**2 + 2*f. Let y(s) = -7*s + 5. Calculate 6*m(c) - 13*y(c).
c + 1
Let i(o) = -6*o**2 + 3*o + 3. Let s(b) = 6*b**2 - 3*b - 5. What is 4*i(t) + 3*s(t)?
-6*t**2 + 3*t - 3
Let k(a) = 14*a**2 - 77*a + 14. Let j(r) = -5*r**2 + 26*r - 5. What is 11*j(l) + 4*k(l)?
l**2 - 22*l + 1
Let c = -10 + 4. Let a(j) = -5*j**2 + 3*j + 8. Let p(t) = 4*t**2 - 2*t - 7. What is c*a(y) - 7*p(y)?
2*y**2 - 4*y + 1
Let l(n) = 2*n**3 - 3*n**2 - 4. Let g = -8 + 11. Let t(j) = 0*j**2 + j**2 + 13*j**3 + 5 - 15*j**g + 2*j**2. What is -5*l(a) - 4*t(a)?
-2*a**3 + 3*a**2
Let r(d) = 16*d - 4. Let b(c) = 2*c + 1. Determine 3*b(q) + r(q).
22*q - 1
Let j(o) = 6*o**2 + 20*o - 4. Let b(w) = -4*w**2 - 13*w + 3. Give -7*b(m) - 5*j(m).
-2*m**2 - 9*m - 1
Let v(i) = -18*i + 17. Let t(c) = -3*c + 3. Let q(p) = -2*p**2 - 17*p - 70. Let y be q(-4). Determine y*t(b) + 6*v(b).
-6*b
Let y(f) = 7*f**2 - 11*f + 5. Let m(k) = k**2 - 2*k + 1. Determine 11*m(n) - 2*y(n).
-3*n**2 + 1
Let q = 4 - 2. Let z(y) = -6*y**2 - 6*y + 4 + 4 - q - y**3 + 0*y**3. Suppose -4 + 3 = g. Let f(o) = -o**2 - o + 1. Calculate g*z(d) + 6*f(d).
d**3
Let i(b) = 341*b**3 + 77*b**2 + 77. Let k(t) = 52*t**3 + 8*t**2 + 15. Let x(o) = 34*o**3 + 5*o**2 + 10. Let h(d) = -5*k(d) + 7*x(d). Calculate 77*h(u) + 5*i(u).
11*u**3
Let i(v) = -v - 7. Suppose -6*q + 10 - 16 = 0. Let g(t) = -1. Suppose -6*m - 2*a = -3*m - 2, 2*m - 4*a = 28. Give m*g(o) + q*i(o).
o + 3
Let k(f) = 6*f**3 + 8*f. Let j(g) = 2*g**3 + 3*g. Let m(i) = i - 2. Let y be m(-6). Suppose -17 = -4*v - t, 4*v = 4*t - 10 + 2. Calculate v*k(c) + y*j(c).
2*c**3
Let i(r) = -r**2 - r + 2. Let s(l) = 510*l**2 + 40*l - 80. Calculate 40*i(d) + s(d).
470*d**2
Let f(z) = -16*z - 23. Let t(o) = -8*o - 11. Let b(p) = 6*f(p) - 13*t(p). Let k(v) = 39*v + 24. Calculate 24*b(g) - 5*k(g).
-3*g
Let p(s) = -8*s**3 - 5*s**2 - 10*s - 3. Let g(x) = -9*x**3 - 6*x**2 - 12*x - 4. Determine 5*g(r) - 6*p(r).
3*r**3 - 2
Let c(r) = 18*r**3 + 2*r + 1. Let w(y) = -54*y**3 + y**2 - 7*y - 4. Calculate 7*c(x) + 2*w(x).
18*x**3 + 2*x**2 - 1
Let k(c) = 5*c + 4. Let n = -355 - -353. Let d(r) = -r - 1. Calculate n*k(v) - 9*d(v).
-v + 1
Let t(p) = 12*p**2 + 6*p - 10. Let f(r) = 36*r**2 + 17*r - 30. Give 4*f(l) - 11*t(l).
12*l**2 + 2*l - 10
Let v(y) be the second derivative of y**3/6 - 3*y**2/2 + 24*y - 1. Let h(w) = w**2 - w. Calculate -h(q) - v(q).
-q**2 + 3
Suppose -45 = -5*s + 4*d, -2*s - s - 3*d = 0. Let c(f) = 8*f**2 - 5. Let k = 14 + -42. Let g(m) = 44*m**2 - 28. Calculate k*c(p) + s*g(p).
-4*p**2
Suppose -5*l = -3*c + 54, l = 4*c + 6*l - 72. Let k(n) = -29*n**3 - 9*n**2 + 9*n + 9. Let p(r) = -7*r**3 - 2*r**2 + 2*r + 2. What is c*p(q) - 4*k(q)?
-10*q**3
Let r = 49 - 53. Let x(w) = -3*w + 3. Let a(i) = 4 - 1 - 4. Give r*a(l) - x(l).
3*l + 1
Let j = 5 + -3. Let g(q) = j - 6 + 2 + q. Let c(o) = -3*o + 5. Suppose -4*d + 3*x = -47, d - x = -19 + 32. Calculate d*g(p) + 3*c(p).
-p - 1
Let q(b) = -b**3 + b**2 - b. Let p be (-1 + 0)*(-16 + 11). Suppose 88 - 28 = -p*o. Let s(t) = 5*t**3 - 4*t**2 + 4*t. Calculate o*q(j) - 3*s(j).
-3*j**3
Let s(u) = 28*u**2 - 6*u. Let t(y) = -29*y**2 + 7*y. Determine 4*s(d) + 3*t(d).
25*d**2 - 3*d
Let a(g) = -8*g + 3. Let i(m) = -4*m + 3. What is 4*a(f) - 7*i(f)?
-4*f - 9
Let y(o) = -132068*o + 1687. Let u(x) = -235*x + 3. Give -1687*u(z) + 3*y(z).
241*z
Let q(b) = 2*b - 4. Let o = -4 + -2. Let x(g) = 34*g - 9 - 14 - 11*g - 12*g. Determine o*x(p) + 34*q(p).
2*p + 2
Let t(r) = 7*r. Let h(a) = 14*a. Let i = -233 - -239. What is i*h(v) - 13*t(v)?
-7*v
Let m(j) = j**2 + 1. Suppose -9 + 4 = -a. Suppose -16 = 4*d + 4*s + 8, -3*d + a*s = -22. Let f(u) = 3*u**2 + 3*u + 2. What is d*f(g) + 2*m(g)?
-g**2 - 3*g
Let z = -49 + 52. Let o(n) = -2*n**3 + 5*n - 4. Let a(y) = 2*y**3 + y**2 - 4*y - y**2 + 3. Give z*o(q) + 4*a(q).
2*q**3 - q
Let b(v) = -8*v - 14. Let u be b(10). Let o = -98 - u. Let g(f) = f**3 + 4*f - 4. Let a(k) = k**3 + 3*k - 3. What is o*a(p) + 3*g(p)?
-p**3
Let h(n) = n. Let a(s) = s. Suppose -7 - 3 = -5*p. Let f be (-57)/51 - (-4)/34. Determine f*a(b) + p*h(b).
b
Let x(q) = 20*q**2 - 4*q - 13. Let h(i) = -5*i**2 + i + 3. Determine 18*h(b) + 4*x(b).
-10*b**2 + 2*b + 2
Let z be (3/2)/((-186)/248). Let o = -2 - 1. Let x(s) = 5 - 1 + 0. Let j(w) = w - 5. Give o*x(c) + z*j(c).
-2*c - 2
Let o(b) = 453*b - 1. Let y(v) = 1364*v - 3. What is 7*o(s) - 2*y(s)?
443*s - 1
Let j(u) = -u - 1. Let g(x) = x**3 + 2*x**2 - 11*x - 9. Let z(d) = 6*d**3 + 11*d**2 - 57*d - 46. Let l(q) = 11*g(q) - 2*z(q). Give -21*j(i) + 3*l(i).
-3*i**3
Let a(l) = 3*l. Let p(d) = 56*d - 2. Determine -6*a(c) + p(c).
38*c - 2
Let n(j) = 9*j + 99. Let b(i) = 6*i + 102. Calculate 4*b(y) - 3*n(y).
-3*y + 111
Let r(h) = 197*h**3 + 4*h**2. Let a(j) = -395*j**3 - 7*j**2. Determine 6*a(f) + 11*r(f).
-203*f**3 + 2*f**2
Let h(r) = -31*r**3 + 19*r**2 - 9*r - 9. Let z(f) = -15*f**3 + 9*f**2 - 4*f - 4. What is -4*h(n) + 9*z(n)?
-11*n**3 + 5*n**2
Let z(c) = -4*c**2. Let g(m) = -m**3 - 11*m**2 + 25*m - 6. Let h be g(-13). Let q(w) = 0*w + 13*w**2 + 0*w - 1 + 0*w. What is h*z(u) + 2*q(u)?
-2*u**2 - 2
Let p(o) = -7*o**2 + 3*o. Suppose -5*x - 5*l + 10 = 0, -4*l = 5*x - 10 - 3. Suppose 0 = -2*j + 1 + x. Let i(u) = -u**2 + u. What is j*i(a) - p(a)?
4*a**2
Let m(g) = -g**3 + 1. Let u be (3 + 1)*(-2)/8*1. Let x be (9/4)/((-3)/(-8)). Let q(f) = -5*f**3 + 6. Calculate u*q(w) + x*m(w).
-w**3
Let d(f) = 265*f**3 + 45*f. Let w(t) = -65*t**2 + 65*t**2 - 12*t**3 + 72*t - 74*t. Give 2*d(h) + 45*w(h).
-10*h**3
Suppose 8 = 35*m - 31*m. Suppose 0 = -3*w + m + 1. Let x(i) = i - 1. Let d(r) = 4*r**3 - 4*r + 4. Determine w*d(y) + 4*x(y).
4*y**3
Let b(g) = -3*g + 14. Let t(i) = -2*i + 10. Let u(d) = -5*b(d) + 7*t(d). Let p(x) = -12*x. Calculate -p(f) - 3*u(f).
9*f
Let k(v) = 1. Let u(i) = 4*i + 6. Let z = 270 + -264. Determine z*k(f) - u(f).
-4*f
Let j(c) = -6*c**3 + 2*c**2 - c - 3. Let s(t) be the third derivative of -17*t**6/120 + t**5/10 - t**4/12 - 4*t**3/3 + 160*t**2. Calculate 8*j(n) - 3*s(n).
3*n**3 - 2*n**2 - 2*n
Let w(r) = 7*r**3 + 6*r + 8. Let m(x) = x**3 + x. Suppose -174*l = -162*l - 12. Determine l*w(o) - 6*m(o).
o**3 + 8
Suppose 0*j - 93 = -3*j. Let z = j + -30. Let y(c) = -z + 3*c + 0*c - 7*c + 2*c. Let l(f) = 4*f + 2. What is 3*l(d) + 5*y(d)?
2*d + 1
Let t(i) = i**2 - 1. Let s(f) = -f**2 + 39. Let a be s(6). Let x(k) = -2*k**3 - 2*k**2 - 2*k + 3. Calculate a*t(c) + x(c).
-2*c**3 + c**2 - 2*c
Let p(n) = -11*n + 44. Let y(j) = 3*j - 15. Give 2*p(s) + 7*y(s).
-s - 17
Let f(l) = 4*l**2 + 6*l - 6. Let n(a) = 9*a**2 + 13*a - 13. Let b = -571 + 558. Let u be (-2)/7 - 44/(-7). Calculate b*f(t) + u*n(t).
2*t**2
Let u(b) = -27*b + 3. Let o(s) = 77*s - 33*s - 1 - 33*s. What is -12*o(p) - 5*u(p)?
3*p - 3
Let g(f) = 2*f + 2. Let n(v) = 58*v + 4. Calculate 4*g(a) - n(a).
-50*a + 4
Let m(w) be the first derivative of w**2/2 + 266. Let y(c) = -5*c. Calculate 9*m(r) + 2*y(r).
-r
Let f(z) = -1. Let o(p) = -p - 139. Determine -18*f(u) - 2*o(u).
2*u + 296
Let f = -7/50 + 91/25. Let g(w) be the first derivative of 5*w - 3 - 5/3*w**3 - f*w**2. Let q(v) = 4*v**2 + 6*v - 4. Determine 6*g(d) + 7*q(d).
-2*d**2 + 2
Let o(z) = 5*z**2 + 20*z - 39. Let b be o(-5). Let y(v) = v. Let w(d) = -4*d - 1. Calculate b*y(g) - 4*w(g).
2*g + 4
Let j(r) = 4*r**2 + 38. Let d(n) = n**2 - 3. Give -2*d(w) - j(w).
-6*w**2 - 32
Let h be (24/5)/((-21)/(-70)). Suppose 5*k + h = -4, k - 2 = -2*s. Let a(l) = -l**3 + 0 + 5 - 5*l + 3*l - s. Let d(j) = -j + 1. Give 3*a(b) - 6*d(b