 3
Let x(p) = 22*p**2. Let q(d) be the first derivative of -5*d**3 - 176. What is -8*q(n) - 5*x(n)?
10*n**2
Let r(z) = 10*z + 2. Let x(s) = 11*s + 2. Calculate 5*r(c) - 6*x(c).
-16*c - 2
Let l(s) = 496*s**2 - 136. Let a(n) = 20*n - 12*n - 8*n - 3 + 11*n**2. Calculate -272*a(c) + 6*l(c).
-16*c**2
Let l(j) = -10*j**3 + 2*j**2 + j + 3. Let z(a) = -21*a**3 - 10 - 6 + 0 + 5*a**2 + 2*a + 23. Give -7*l(k) + 3*z(k).
7*k**3 + k**2 - k
Let o(v) = 2*v**3 - 6*v**2 - 9*v - 5. Let m(j) = 5*j**3 - 17*j**2 - 27*j - 14. Determine -6*m(g) + 17*o(g).
4*g**3 + 9*g - 1
Suppose 0 = -6649*b + 6656*b + 28. Let w(t) = t. Let z(u) = u + 1. Give b*w(o) + 3*z(o).
-o + 3
Let f(h) be the second derivative of -h**3/6 + h**2/2 - 5*h. Let b(n) = -n**2 - 8*n + 3. Let o = 5 - 11. Calculate o*f(y) + b(y).
-y**2 - 2*y - 3
Let x(h) = 194*h**3 + 2*h**2 - 4*h - 3. Let m(l) = 969*l**3 + 11*l**2 - 22*l - 15. Calculate 2*m(y) - 11*x(y).
-196*y**3 + 3
Let h(j) = 4*j**2 + 11 + 5 + 1 - 17 - 2*j**3. Let p(x) = x**3 - x**2. What is h(z) + 4*p(z)?
2*z**3
Let g(i) = 7 + i**3 + 6 + 3 - 19. Let s = -21 - -13. Let u(v) = -3*v**3 + 8. What is s*g(t) - 3*u(t)?
t**3
Let v be -16 + 0 + -11 + 23. Let b(i) = -6*i + 1. Let y(p) = -11*p - 1. Let n(j) = -1. Let g(k) = -2*n(k) + y(k). Calculate v*g(u) + 7*b(u).
2*u + 3
Let o(p) = -2*p + 3. Suppose 4*f = -f. Suppose 9*s + 29 - 2 = f. Let y(m) = -3*m + 5. Determine s*y(d) + 5*o(d).
-d
Let x(p) = -10*p**2. Let y(t) = -t**3 - 4*t**2 + 2*t - 10. Let b be y(-5). Let n(u) = -6*u**2 + 2*u**2 + b*u**2 + 0*u**2. Calculate -18*n(h) - 2*x(h).
2*h**2
Let r(i) = i**3 - 4*i**2 + 8*i + 5. Let l(v) = v**3 + v**2 + v + 4. Let s(w) = -6*w**3 - 14*w - 26. Let y(g) = 5*l(g) + s(g). Calculate 5*r(h) + 4*y(h).
h**3 + 4*h + 1
Suppose 5*m - 4*d = 40, -3*m = -m - d - 13. Let z(s) = -s + 2 - m + 2. Let r be (-245)/14 + (-1)/2. Let c(h) = 3*h. Determine r*z(l) - 5*c(l).
3*l
Let x(s) = -132*s**3 - 2*s**2 - 3*s - 3. Let v(f) = 529*f**3 + 9*f**2 + 13*f + 13. What is 6*v(c) + 26*x(c)?
-258*c**3 + 2*c**2
Let f(b) = -4*b**3 + 6*b**2 - 4*b + 3. Let j(t) = 13*t**3 - 17*t**2 + 13*t - 11. Give -7*f(h) - 2*j(h).
2*h**3 - 8*h**2 + 2*h + 1
Let q(g) = -10*g - 10. Suppose u = 5*u - 24. Let x(r) = -u*r + 22 + 7*r - 21. What is -q(n) - 12*x(n)?
-2*n - 2
Let n = 2197 - 2193. Let t(x) = x**2 - 1. Let k(f) be the second derivative of f**4/2 - f**3/6 - 2*f**2 + f. Give n*t(y) - k(y).
-2*y**2 + y
Let l(u) be the first derivative of u**4/2 + 14*u**3/3 + u**2 + 7*u - 21. Let n be l(-7). Let h(w) = 4*w - 10. Let j(o) = o - 3. Determine n*j(i) + 2*h(i).
i + 1
Let n(f) = -13*f**3 + 4*f + 2. Let t(o) = 14*o**3 - 5*o - 3. What is -3*n(h) - 2*t(h)?
11*h**3 - 2*h
Let i(y) = y**2 - 4*y + 1. Let a(z) = z**3 + 10*z**2 + 13*z + 40. Let u be a(-9). Let w(t) = 3*t**2 - 11*t + 2. Give u*w(j) - 11*i(j).
j**2 - 3
Let v(b) = 4*b**2 - 9*b - 2. Let d(z) = 5*z**2 - 11*z - 1. Let s(i) = -2*d(i) + 3*v(i). Let x(a) = -a**2 + 3*a + 2. What is 6*s(l) + 11*x(l)?
l**2 + 3*l - 2
Let f(k) = -k. Let o(x) = -8*x + 2. Suppose 15 = 3*n + 12*n. What is n*o(r) - 6*f(r)?
-2*r + 2
Let x(w) be the first derivative of -5*w**4/2 + 11*w**3/3 + 11*w**2/2 - 11*w + 85. Let v(q) = 2*q**3 - 2*q**2 - 2*q + 2. Determine 22*v(h) + 4*x(h).
4*h**3
Let k(p) = 11*p**2 + p + 14. Let y(a) = 7*a**2 + a + 14. Determine -4*k(g) + 5*y(g).
-9*g**2 + g + 14
Let h(i) = -4*i**2 + 6. Let w(m) = -6*m**2 + 7. Calculate 6*h(j) - 5*w(j).
6*j**2 + 1
Let r(v) = -v**3 - 2*v**2 + 4*v + 5. Let n(l) = 6449*l + 7*l**3 - 6450*l - 6*l**3 - 1. Give -4*n(y) - r(y).
-3*y**3 + 2*y**2 - 1
Let m(u) = -262*u + 1 - 2 + 255*u. Let o(k) = -k. Calculate m(t) - 6*o(t).
-t - 1
Let h(m) = m**2 - m + 7. Let t(g) = 1. Let p be ((-580)/(-30) - 19)/((-2)/18). Calculate p*h(w) + 21*t(w).
-3*w**2 + 3*w
Let s(z) = 7*z**3 + 4*z**2 - 5*z + 3. Let w(c) = -13*c**3 - 7*c**2 + 9*c - 5. What is -7*s(u) - 4*w(u)?
3*u**3 - u - 1
Let v(a) = -5*a**2 - 2*a + 23. Let d(l) = 3*l**2 + 2*l - 21. Give 5*d(j) + 4*v(j).
-5*j**2 + 2*j - 13
Let u(q) = -2*q**2 - 1. Let v(j) = -7*j**2 - j - 7. What is u(r) - v(r)?
5*r**2 + r + 6
Let i(w) = -4*w + 26. Let g(s) = s - 1. Determine 8*g(m) + i(m).
4*m + 18
Let n(f) = -6*f**2 + 14*f - 21. Let h(m) = m**2 - 3*m + 4. Determine 11*h(v) + 2*n(v).
-v**2 - 5*v + 2
Let g(m) = m. Let l(s) = -3*s. Let p(d) = -3*d**3 + 6*d**2 - 3*d + 1. Let u be p(2). What is u*g(f) - l(f)?
-2*f
Let q(u) = -7*u**2 - 2*u. Let s(i) = 15*i**2 + 5*i. Let t be (-2)/19 + (-675)/(-95). Calculate t*q(z) + 3*s(z).
-4*z**2 + z
Let z(y) = -y**2 + y. Let o(x) = -2*x**3 - 7*x**2 + 8*x - 1. Give -o(t) + 6*z(t).
2*t**3 + t**2 - 2*t + 1
Let v(l) = 9*l**2 - 2*l - 13. Let h(z) = -3 - 3*z**2 + z**2 - 8*z + 9*z - 3*z**2 + 10. What is -5*h(y) - 3*v(y)?
-2*y**2 + y + 4
Let u(v) = -11*v**2 - 8*v + 3. Let w(m) = 4*m**2 + 3*m - 1. Let l be 3652/121 - (-2)/(-11). Let k = 2 + l. Suppose q + k = 5*q. Calculate q*w(b) + 3*u(b).
-b**2 + 1
Let h(u) = 271*u**3 - 4*u**2 + 4*u + 4. Let d(s) = 18700*s**3 - 275*s**2 + 275*s + 275. What is 4*d(i) - 275*h(i)?
275*i**3
Let q(g) = 4*g**2 - 9*g + 19. Let h(i) be the third derivative of i**5/30 - i**4/6 + 3*i**3/2 + i**2 + 1. Determine 9*h(w) - 4*q(w).
2*w**2 + 5
Let z(y) = -y - 2. Suppose 5*m = -r + 19, 3*m - 13 = -2*r + 3*r. Let t(g) be the second derivative of g**3/6 + g**2/2 + 2*g - 72. Calculate r*t(x) + z(x).
-2*x - 3
Let o(h) = 36*h + 11. Let b(i) = -88*i - 22. Let z(s) = -4*b(s) - 10*o(s). Let c(u) = 3*u + 7. Calculate -14*c(k) - 5*z(k).
-2*k + 12
Let i(a) be the third derivative of 1/8*a**4 + 0*a**3 + 0*a + 14*a**2 + 0. Let k(v) = 7*v + 1. What is 5*i(d) - 2*k(d)?
d - 2
Let w(u) = -u + 4. Let r(j) = j**2 - 5*j + 16. What is 2*r(p) - 9*w(p)?
2*p**2 - p - 4
Let q(v) = 8*v**2 - v. Let c(k) = -55*k**2 + 9*k - 3. Let s(i) = 2*c(i) + 14*q(i). Let x = -4 - -3. Let j(d) = d - 1. Determine x*s(g) + 4*j(g).
-2*g**2 + 2
Let g(y) = -1. Let a(h) be the third derivative of -h**4/24 + 5*h**3/6 - 4*h**2. Let p(d) = 3*d - 10. Let r(w) = -5*a(w) - 2*p(w). What is -10*g(t) + 2*r(t)?
-2*t
Let j(w) = -7*w**3 + 2*w**2 - 8*w + 13. Let z(u) = 3*u**3 - u**2 + 4*u - 6. Determine 4*j(d) + 9*z(d).
-d**3 - d**2 + 4*d - 2
Let l = 20 + -11. Let w = l + -9. Suppose w = -4*z + 5*h + 16, 0 = z - 2*z - 2*h + 4. Let p(y) = 6*y + 7. Let x(b) = 5*b + 6. What is z*p(m) - 5*x(m)?
-m - 2
Let t(i) = 2*i**2 + 1. Let g(o) = 12*o**2 - 202. Determine g(y) - 5*t(y).
2*y**2 - 207
Let g(i) = -2*i**3 + 7*i - 7. Let y(b) = b**3 - 6*b + 6. Let v be 1/((-4)/104*-2) - 6. Give v*y(r) + 6*g(r).
-5*r**3
Let z(i) = -34*i + 77. Let k(h) = 18*h - 38. Give -11*k(s) - 6*z(s).
6*s - 44
Let o(b) = 90*b. Let q(j) = -13*j + 1 + 10 - 18 + 7. Determine 5*o(a) + 36*q(a).
-18*a
Let l(a) = -a. Let m(f) = -46*f - 1. Calculate 4*l(v) - m(v).
42*v + 1
Let s(g) = -1. Let x(l) = 45*l - 403. Let t be x(9). Let p(k) be the third derivative of -5/6*k**3 + 0 - 1/12*k**4 + 0*k + k**t. Give p(z) - 4*s(z).
-2*z - 1
Let o(x) = -x**2 - x - 1. Suppose -17 - 8 = -5*j. Let z(a) = 2*a - 5. Let h be z(j). Let d(n) = n + 1. Calculate h*d(s) + 5*o(s).
-5*s**2
Let n be (35 - 15) + -1 + -1. Let u be 27/(-12) + (-2)/(-8). Let m(f) = f. Let a(s) = -2 + 10*s + 2. Determine n*m(t) + u*a(t).
-2*t
Let u be (2/(-3))/((-89)/(-534)). Let z(y) = -9*y**3 + 5*y**2 - 3*y - 6. Let h(f) = 8*f**3 - 4*f**2 + 2*f + 5. What is u*z(m) - 5*h(m)?
-4*m**3 + 2*m - 1
Let k(x) = 2*x**2 - 2*x - 3. Suppose 3*w = 16 - 19. Let y(d) = d**2 + d - 1. What is w*k(l) + y(l)?
-l**2 + 3*l + 2
Let l(h) = -4*h**2 + 9*h + 4. Let b(k) = -3*k**2 + 10*k + 5. What is 6*b(o) - 7*l(o)?
10*o**2 - 3*o + 2
Let b(p) be the third derivative of p**6/120 - p**5/60 + p**4/24 - p**3/6 + 373*p**2. Let c(f) = -6*f**3 - 3*f**2 + 3*f - 3. What is 3*b(t) - c(t)?
9*t**3
Let x(r) = -r. Let d(l) = -2*l + 4. Let s(n) = -n**2 - 9*n - 3. Let f be (-2)/(-11) - (-50)/(-275). Let c be s(f). Give c*x(v) + d(v).
v + 4
Let w(r) = -12*r + 300. Let v(m) = 2*m + 5. Calculate -5*v(q) - w(q).
2*q - 325
Let q(i) = -i**2 - i. Let v(x) = -2*x - 33*x - 36*x**2 + 12*x - 9*x. What is 96*q(w) - 3*v(w)?
12*w**2
Let m(c) = -c**3 + 12*c**2 + 147*c - 12. Let v(a) = 2*a**2 + a - 2. Determine -m(s) + 6*v(s).
s**3 - 141*s
Let c(w) = 15*w - 32. Let t(g) = -4*g. Calculate c(r) + 3*t(r).
3*r - 32
Let o(r) = -4*r**2 - 118*r + 65. Let f be o(-30). Let a(s) = 4*s + 2. Let