- 3
Let w(s) = 6*s + 3. Let g(k) = 9*k**3 - 5*k**2 + 1. Let d be g(2). Suppose 11*x + 24 = -d. Let c(u) = -12*u - 7. What is x*w(f) - 3*c(f)?
-6*f
Let r(o) = -22*o - 1445. Let c be r(-66). Let k(y) = 3*y - 2. Let z(n) = -9*n + 7. Calculate c*k(u) + 2*z(u).
3*u
Suppose -c = 3, -s = s - c - 37. Suppose -45 = -14*p - s. Let n(x) = 2*x**3 + 7*x. Let h(z) = z**3 + 3*z. Suppose 2*u + 4 = -6. What is p*n(o) + u*h(o)?
-o**3 - o
Let y(x) be the second derivative of x**3/6 + x**2/2 + 29*x - 4. Let s(q) = -10*q - 17. Calculate -2*s(a) - 18*y(a).
2*a + 16
Let w(n) = -4*n**2 + n - 2. Let k(s) be the first derivative of s**3/3 - s - 22. Let x(l) = 3*k(l) + w(l). Let r(b) = 1. Determine -6*r(p) - x(p).
p**2 - p - 1
Suppose -2*y - 3*y + 5*r = -20, -5*y + 8 = -r. Let p(o) = -7 - o - 1 + 7. Let t = 1945 - 1939. Let n(z) = 7*z + 5. Give t*p(j) + y*n(j).
j - 1
Suppose -24 = 4*y + p, 390*p - 395*p - 6 = y. Let k(s) = s - 1. Let l(h) = 4*h - 4 + 0 + 0. Give y*k(b) + l(b).
-2*b + 2
Let o(b) = 2*b**2 + 2*b - 3. Let v(a) be the second derivative of a**4/6 + a**3/2 - 2*a**2 + 471*a. Let q be (-10)/6*1*(-9 + 6). Determine q*o(l) - 4*v(l).
2*l**2 - 2*l + 1
Let u(n) = -5*n - 5. Suppose 2*t + 7 + 3 = 0. Let j(i) = 4 - 1289*i + 2 + 1294*i. Calculate t*j(k) - 6*u(k).
5*k
Let r(k) = 3*k**2 + 2*k + 11. Let g(v) = 16*v**2 + 11*v + 56. Suppose -2*m + 6 = 5*f, 126*f + 6 = -5*m + 124*f. Give m*g(i) + 11*r(i).
i**2 + 9
Let w(s) = -4*s - 4. Let z(h) be the first derivative of h - 5649. Give -w(i) - 4*z(i).
4*i
Let k(u) = -19*u**2 - 21*u + 57. Let o(b) = 9*b**2 + 11*b - 31. Calculate -6*k(t) - 11*o(t).
15*t**2 + 5*t - 1
Let q(b) = 16*b**3 + 7*b**2 + 5*b. Let w(l) = l**3 + l**2 + l. Determine -q(p) + 5*w(p).
-11*p**3 - 2*p**2
Let y(c) = -2*c**2 + 40*c - 45. Let d be y(19). Let h(g) = 6*g - 6. Let u(l) = -6*l + 5. Determine d*u(p) - 6*h(p).
6*p + 1
Let l(b) = -9874*b - 14. Let d(x) = 6584*x + 10. Determine 7*d(q) + 5*l(q).
-3282*q
Let r(t) = -37*t**2 + 99*t + 8. Let k(h) = 12*h**2 - 33*h - 3. Determine 8*k(p) + 3*r(p).
-15*p**2 + 33*p
Let s(r) be the third derivative of r**4/24 + r**3/6 - 20*r**2 - 3. Let n(y) = -8*y - 1. Calculate 2*n(a) + 2*s(a).
-14*a
Suppose -3*n - 2*n + 5*c = -15, 5*c + 9 = 2*n. Let l(d) = 2108 - 2117 - 5*d**n + 6*d + 3*d**2. Let i(w) = 2*w**2 - 7*w + 10. Give -6*i(f) - 7*l(f).
2*f**2 + 3
Let w(g) = 3*g**3 + 193*g**2 + 17*g + 1. Let o(c) = 2*c**3 + 107*c**2 + 8*c + 1. Calculate -5*o(t) + 3*w(t).
-t**3 + 44*t**2 + 11*t - 2
Let k(n) = n**3 + n - 1. Let q(a) = -11*a**3 + 2*a**2 - 14*a + 5. Let f(g) = -3*g**3 + g**2 - 7*g + 1. Let w(m) = -4*f(m) + 2*q(m). What is 5*k(y) + w(y)?
-5*y**3 + 5*y + 1
Let j(f) = -4*f - 6. Let d = 15 + -72. Let q = -58 - d. Let o(h) = -7*h - 7. Let u(s) = -13*s - 13. Let v(m) = 11*o(m) - 6*u(m). What is q*j(l) - 6*v(l)?
-2*l
Suppose v + 2*v = 18. Let w(t) = 1. Let q(y) = y - 3. Suppose -u = 2*p + 878 - 886, -6 = 3*u - 4*p. What is u*q(b) + v*w(b)?
2*b
Let c(n) = 4980365*n + 10036. Let i(k) = -4963*k - 10. Determine 5*c(p) + 5018*i(p).
-2509*p
Let j(p) = 2*p**2 - 26*p - 3. Let l(h) = -13*h**2 + 77*h - 16. Let n(f) = -2*f**2 + 10*f - 3. Let c(k) = l(k) - 6*n(k). Give -7*c(s) - 5*j(s).
-3*s**2 + 11*s + 1
Let f(q) = -18*q + 3. Let m(a) be the first derivative of 9*a**2 - 2*a + 2157. What is 3*f(r) + 4*m(r)?
18*r + 1
Let n(u) = 13*u - 1. Let j(m) = 12*m + 185. Calculate 3*j(s) - 3*n(s).
-3*s + 558
Let v(d) = -5*d + 7434. Let m(r) = r - 7. Determine 6*m(u) + v(u).
u + 7392
Let w(s) = -8*s**3 - 39*s**2 + 7*s + 4. Let g(c) = -c**3 - c + 1. Calculate -6*g(y) + w(y).
-2*y**3 - 39*y**2 + 13*y - 2
Suppose -3*z + 2 = -h, -6 = 3*h + 2*z - 7*z. Let o(f) = -f**3 - 4*f**2 - 2*f + 3. Let j be o(h). Let n(v) = 10*v - 30. Let a(g) = 1. Determine j*n(s) - 30*a(s).
-10*s
Let b(c) = -6*c - 1. Let v be 0 + 32 + -3 - 100/20. Let k(n) = 34 + 5*n - 9 - v. Determine -3*b(d) - 4*k(d).
-2*d - 1
Let p(m) = -90*m**3 - 21*m**2 + 21. Let d(a) = -51*a + 202. Let v be d(4). Let c(r) = 9*r**3 + 2*r**2 - 2. Let f = -134 + 113. Determine f*c(j) + v*p(j).
-9*j**3
Let c(l) = -2*l - 3. Let p = 117 + -60. Let j = p + -57. Suppose -3*s - 78 = -j*s. Let m(f) = 8*f + 13. Calculate s*c(v) - 6*m(v).
4*v
Let l(o) = -1. Let s(w) = -2*w**3 - 2*w**2 - 2*w - 1. Let p be s(-1). Let j(m) = 197 - 571 + 190 - 5*m**2 + 190. Give p*j(n) + 6*l(n).
-5*n**2
Let p(w) = 2*w + 13. Let v(x) = -3*x + 51. Let y(c) = 3*c - 64. Let g(m) = 6*v(m) + 5*y(m). Calculate 5*g(a) + 6*p(a).
-3*a + 8
Let d(l) = -6*l + 36. Let b(i) = i - 7. Let v = 1189 - 1200. Calculate v*b(r) - 2*d(r).
r + 5
Let y(o) = 2*o**2 - 9*o + 10. Let k(r) = 4*r + 3. Calculate -k(g) - y(g).
-2*g**2 + 5*g - 13
Let u(y) = 6*y**3 + 3*y**2 + 3*y. Let h(b) be the second derivative of -b**5/20 - b**4/12 - b**3/6 + 2*b - 27. Suppose 1130 = -6*f + 1148. Give f*h(r) + u(r).
3*r**3
Let g(a) = -14*a. Let n(y) = 7495*y - 5 + 3 - 7509*y + 2. Determine -3*g(v) + 2*n(v).
14*v
Let p = 7 + 10. Suppose -6*n - 3*t = -5*n + p, 0 = 3*n - 5*t - 19. Let o(s) = 2*s**2 + 11*s. Let g(c) = -4*c**2 - 23*c. Calculate n*g(x) - 5*o(x).
-2*x**2 - 9*x
Let o(i) = -i**2 - 1. Let z(p) = 4*p**2 - p + 5. Suppose 4*t - 39 = -h, -3*h = 2*t - 2*h - 17. Suppose -153*u + 665 = 359. Give t*o(v) + u*z(v).
-3*v**2 - 2*v - 1
Let f(b) = 14*b - 21. Let l(s) = -s + 1. Let j(x) = 22*x + 133. Let g be j(-7). Determine g*l(m) - f(m).
7*m
Let v(o) = o**2 + 156*o + 2. Let j(c) = 2*c**2 + 302*c + 3. What is -4*j(l) + 7*v(l)?
-l**2 - 116*l + 2
Let j(d) = -1. Let m(x) = x**2 - x + 14. Suppose 5*c + 5*i = 145, -2266*c = -2264*c - 5*i - 9. What is c*j(o) + 2*m(o)?
2*o**2 - 2*o + 6
Let z(p) = 6*p - 5. Let w be 6 - 1 - (1 - (2 + 49)). Let d(b) = w + 55 - 104 - 6*b. What is 5*d(o) + 6*z(o)?
6*o
Let w(o) = -o**2 - 29*o - 75. Let h be w(-3). Let g(l) = -12*l**2 - h*l**2 - l**2 + 8*l**2. Let z(m) = -m**2. Calculate -2*g(u) + 14*z(u).
2*u**2
Suppose 21 + 32 = 53*k. Let w(u) = 68*u**2 - 51. Let z(o) = -o**2 + 1. Calculate k*w(b) + 51*z(b).
17*b**2
Let j(k) = -127106*k**2 + 2205. Let s(q) = 2311*q**2 - 40. Determine -16*j(l) - 882*s(l).
-4606*l**2
Let x(a) = -a + 5. Let q(b) = 5 + 6*b + 6 - 8*b. Let i(t) = -6*q(t) + 13*x(t). Let v(h) = h + 2. What is -i(m) + v(m)?
2*m + 3
Let v(h) = -h**2 - 2*h - 3. Let f(q) = 3*q**2 - 243*q + 4. What is -f(b) - 2*v(b)?
-b**2 + 247*b + 2
Let c be 33/7 - (-2)/7. Suppose 4*f = 4*q - 12 + 76, -24 = -3*f - 3*q. Let x(t) = -3*t**3 - 12*t**2 + 12. Let y(h) = h**3 + 5*h**2 - 5. What is c*x(u) + f*y(u)?
-3*u**3
Let o(h) = -2*h**2 - 2. Let w(t) = 1400*t**3 + 8*t**2 + 7. Calculate 4*o(z) + w(z).
1400*z**3 - 1
Let s(f) = 20601*f + 7. Let p(z) = -10301*z - 3. Give 5*p(t) + 2*s(t).
-10303*t - 1
Let i(a) = a**3 + 5*a**2 + 5*a - 5. Suppose -3*w - 9 = 6. Let d(l) = 2*l**3 + 8*l**2 + 8*l - 8. Let z be 5/(15/(-24))*50/(-50). Calculate w*d(g) + z*i(g).
-2*g**3
Let j(h) = h - 10. Let c(y) = -5*y - 2. Let f(k) = -6*k - 5. Let m(p) = 5*c(p) - 4*f(p). Let o = 304 - 301. What is o*m(w) + 2*j(w)?
-w + 10
Let s(j) be the second derivative of -j**3/2 + 3026*j. Let p(w) = w**2 + 3*w. What is 3*p(a) + 3*s(a)?
3*a**2
Let x(q) = -5*q - 89. Let v(j) = -7*j - 90. What is 2*v(o) - 3*x(o)?
o + 87
Let c(v) = 4*v**2 + 2*v - 3. Let q(k) = -13*k**2 - 7*k + 9. Suppose o = 14 - 33. Let w(g) = g**2 + 18*g - 17. Let n be w(o). Calculate n*q(t) + 7*c(t).
2*t**2 - 3
Let c(t) = 23*t**3 - 4*t**2 + 3. Let p(h) be the second derivative of 23*h**5/20 - h**4/4 + h**2 + 220*h - 2. What is -3*c(b) + 4*p(b)?
23*b**3 - 1
Let u(m) = m**2 + m. Let y be 231/(-209) - ((-4)/228)/(2/12). Let j(l) = 10*l**3 - 4*l**2 - 2*l - 1. Give y*j(t) - 2*u(t).
-10*t**3 + 2*t**2 + 1
Let r(h) = -77*h**3 - 4*h**2 - 52*h - 26. Let k(c) = -72*c**3 - 3*c**2 - 51*c - 19. Give 4*k(w) - 3*r(w).
-57*w**3 - 48*w + 2
Let q(x) = 11*x**3 - x**2 + x - 2. Let g(w) = -2*w**3 + w**2 - 2*w. Determine -5*g(v) - q(v).
-v**3 - 4*v**2 + 9*v + 2
Let o(d) = 8*d**3 - 3*d + 3. Let i(f) = -f**3 + f - 1. Suppose 0 = -73*c + 65*c + 648. Suppose 0 = -53*j + 26*j + c. Determine j*i(n) + o(n).
5*n**3
Let c(v) = -v + 16. Let d(s) = -3571*s + 50. Give 3*c(t) - d(t).
3568*t - 2
Suppose -x + 3*z = -14, z - 6 + 2 = -4*x. Let c(i) = 13 - 4 - 12 + 6*i**x. Let a(m) = m**2 + 2*m**2 - 15*m**2 + m**2 + 5. Calculate 3*a(d) + 5*c(d).
-3*d**2
Let q(s) = -100*s**3 + 9*s**2 - 3*s + 6. Let h(p) =