1
Let j(y) be the second derivative of y**4/12 - y**3/2 + 3*y**2/2 + 2*y. Let r = -45 - -43. Let v(i) = i**3 + 2*i - 2. Give r*j(c) - 3*v(c).
-3*c**3 - 2*c**2
Let q(a) = 2*a**3 + 2*a - 2. Let b = -4 + 14. Let o be (24/b)/((-3)/10). Let n(k) = 3 - 2 + 1 + 45611*k - 7 + 5*k**3 - 45605*k. What is o*q(f) + 3*n(f)?
-f**3 + 2*f + 1
Let i(d) = -d**3 - d**2 - d. Let z(j) be the second derivative of -j**5/10 - 7*j**4/12 - j**3/2 - 64*j. Give 5*i(t) - z(t).
-3*t**3 + 2*t**2 - 2*t
Let h(k) = k**3 + 5*k**2 - 5. Let p(o) be the first derivative of o**3/3 + o - 8. Let m(j) = -5*j**2 - 7. Let z(l) = m(l) + 6*p(l). Determine h(x) - 5*z(x).
x**3
Let a(q) = q**2 - 1. Suppose 111 = 44*s - 7*s. Let k(c) = c**2 - c - 4. Calculate s*a(y) - k(y).
2*y**2 + y + 1
Let i(h) = -h**3 - 9*h**2 - 11*h - 26. Let v be i(-8). Let c(g) = g**3 + 2*g**2 + g - 2. Let t(k) = 3*k**2 + k - 3. Give v*t(l) + 3*c(l).
3*l**3 + l
Suppose -46*h + 33*h = 26. Let a(x) = 9*x**2 - 2*x - 4. Let q(d) = 9*d**2 - 3*d - 5. Give h*q(u) + 3*a(u).
9*u**2 - 2
Suppose 0 = -4*p + 4*l - 4, 2*p - 3*l + 7*l = 16. Suppose -3 = -p*d - 5*t, -d = d + 4*t. Let f(a) = 7*a**2 - 2*a - 1. Let i(v) = v**2. Give d*i(y) + f(y).
y**2 - 2*y - 1
Let k(q) = -4*q**2 + q + 3. Let u(x) = 8*x**2 - 5*x - 5. Determine -7*k(p) - 4*u(p).
-4*p**2 + 13*p - 1
Let z(l) = -12*l + 20. Let o(a) = 14*a - 18. Give -5*o(w) - 6*z(w).
2*w - 30
Let i(x) = 3*x**2 - 6*x. Let c(r) = 11*r**2 - 17*r + 7. Let l(w) = -6*w**2 + 9*w - 4. Let d(t) = -4*c(t) - 7*l(t). Calculate 6*d(o) + 5*i(o).
3*o**2
Let m(x) = 5*x**2 + 8*x + 7. Let g = -17 - -4. Let j(u) = -37*u - 11*u**2 + 20*u - 15 + 0. Determine g*m(t) - 6*j(t).
t**2 - 2*t - 1
Suppose 9*y = 5*y + 20. Let n(t) = 2*t - 2. Let b(k) = 2 + 1 + k - 4*k. Determine y*b(j) + 8*n(j).
j - 1
Let d(j) = 11*j**3 - 3*j + 2. Let k(t) = -45*t**3 + 12*t - 6. Calculate 9*d(z) + 2*k(z).
9*z**3 - 3*z + 6
Let g(t) = -2*t**3 - t + 1. Suppose -4*j - 2 - 2 = 0. Let y(m) = 0 + 1 - 175*m**3 - 5*m + 5*m + 174*m**3 - m. Calculate j*g(c) + y(c).
c**3
Let h(k) = 3*k**3 + 18*k**2 + 8*k - 4. Let r(i) = 3*i**3 + 18*i**2 + 10*i - 5. What is 5*h(y) - 4*r(y)?
3*y**3 + 18*y**2
Let r(y) = -y**3 + 3*y**2 + 3*y - 4. Let i be r(4). Let o(z) = 6*z**2 + 8*z**2 - 828 - 14*z + 827. Let l(h) = -5*h**2 + 5*h. What is i*l(k) - 3*o(k)?
-2*k**2 + 2*k + 3
Let y(p) = 11*p**3 + 17*p**2 + 3*p - 11. Let l(k) = -2*k - 4*k**3 + 433 - 6*k**2 + k - 429. What is 17*l(r) + 6*y(r)?
-2*r**3 + r + 2
Let j(f) = -f**2 - 4*f. Let v be j(-5). Let k(h) = -h - 1. Let x(y) = 7. Let a(w) = -2*k(w) - 2*x(w). Let n(z) = z - 5. Determine v*a(d) + 12*n(d).
2*d
Let g(p) = -p**2 + 1. Let m = -774 - -773. Let x be 18/8 - 3/12. Let i(r) = -r**x + 6*r**2 + 2 - 8. What is m*i(s) - 6*g(s)?
s**2
Suppose 5*p - 3 = 4*p. Let r(b) be the first derivative of p - b - 1/2*b**2. Let i(n) = n**2 + 2*n + 4. What is i(f) + 4*r(f)?
f**2 - 2*f
Let j(c) = 73*c**2 + 21*c - 15. Let i(b) = 26*b**2 + 7*b - 5. Calculate -11*i(w) + 4*j(w).
6*w**2 + 7*w - 5
Let n(g) = -4. Let p be 2 + -9 + (3 - -9) + -7. Let h(d) = -d - 1. Give p*h(a) + n(a).
2*a - 2
Let j(s) = s**2 + 2. Let l(p) = -5 + 160*p**2 + 171*p**2 - 334*p**2. Calculate -10*j(m) - 4*l(m).
2*m**2
Suppose -33 + 59 = 13*o. Let k(j) = -j**2 + 6*j - 1. Let s(r) = -r. Calculate o*s(a) + k(a).
-a**2 + 4*a - 1
Let o(v) = 15*v**3 + 5*v**2 - 4*v + 2. Let x(n) = -4*n**3 + n. What is -o(z) - 3*x(z)?
-3*z**3 - 5*z**2 + z - 2
Let p(t) = 5*t**2 + 5*t. Let m = -155 + 160. Let n(g) = -g**3 + 6*g**2 + 6*g. Give m*n(h) - 6*p(h).
-5*h**3
Let x(h) = -212*h + 4. Let t(l) = -213*l + 3. What is -4*t(d) + 3*x(d)?
216*d
Let r(d) = -15*d + 2. Let i(s) = 9*s + 1. What is i(q) + r(q)?
-6*q + 3
Let n(z) = 2337*z**3 + 11*z**2 + 17. Let x(q) = -467*q**3 - 2*q**2 - 3. Give 2*n(r) + 11*x(r).
-463*r**3 + 1
Let p(u) = 2*u**2 - 2*u - 1. Let q(h) = 4*h**2 - 16*h + 2. Determine -p(a) + q(a).
2*a**2 - 14*a + 3
Let o(y) = -y**3 + 2*y**2 - 5*y - 2. Let w(x) = 4*x**3 - 7*x**2 + 15*x + 7. What is -14*o(s) - 4*w(s)?
-2*s**3 + 10*s
Suppose 2*b = 4*b + 10. Let z(c) = -3*c - 42 + 56 + 6*c. Let x(s) = -s**3 - 7*s**2 + 10*s + 8. Let j be x(-8). Let v(i) = -2*i - 9. Calculate b*z(n) + j*v(n).
n + 2
Let l(w) = w**2 - w - 1. Let s(f) = 26*f**2 - 9*f - 21. Let j(p) = -27*p**2 + 10*p + 26. Let i(o) = -3*j(o) - 4*s(o). Determine -i(z) - 6*l(z).
17*z**2
Let b(a) = 6*a**2 + a + 16. Let d(u) = u**2 + 3. Determine -2*b(x) + 11*d(x).
-x**2 - 2*x + 1
Let y(t) = -4*t**3 + 2*t**2 - 2*t - 2. Let d = -148 + 152. Let o(g) = -17*g**3 + 9*g**2 - 9*g - 9. Determine d*o(k) - 18*y(k).
4*k**3
Let q(k) = 4*k**2 - k - 84. Let m(o) = 19*o**2 - 3*o - 335. Determine 2*m(r) - 9*q(r).
2*r**2 + 3*r + 86
Let h = 1 - 0. Let t(x) = -2*x - 6. Let c(n) = -1. Suppose k + b - 5*b = 5, -3*b + 45 = 3*k. Let d = k + -18. Calculate d*c(j) + h*t(j).
-2*j - 1
Let b(a) be the first derivative of -a**2/2 - a + 105. Let w(r) = 1. Let j(i) = -1 + 6*i**2 - 1 + i**3 - 1 - 2 - i. Let y be j(-6). Determine y*w(c) - b(c).
c + 2
Let h(x) be the second derivative of -x**4/2 - 5*x**2/2 + 653*x. Let j(o) = -1. Determine h(i) - 5*j(i).
-6*i**2
Let z(y) = y + 1. Suppose -11*k + 8*k + 17 = -5*h, -19 = 3*h - 4*k. Let j(x) = -3*x + 4. Determine h*j(g) + 2*z(g).
5*g - 2
Let h(y) = -32*y - 4. Let r(d) = 30*d + 3. Give 5*h(j) + 6*r(j).
20*j - 2
Let h(f) = 50*f**2 - 8*f. Let t(w) = -502*w + 1002*w - 503*w + 17*w**2. Determine -3*h(j) + 8*t(j).
-14*j**2
Let p = -8 - -6. Let c(q) = -5*q**3 + 11*q**2 - 16*q. Let d(z) be the second derivative of z**5/20 - z**4/6 + z**3/2 + 2*z - 9. Give p*c(x) - 11*d(x).
-x**3 - x
Let p(w) = -15*w - 2. Let x(u) = -u. Let v(k) = p(k) - 4*x(k). Let b(j) = -2*j**2 - 9*j + 10. Let m be b(-6). Let f(a) = -7*a - 1. Determine m*f(n) + 5*v(n).
n - 2
Let b(j) = 12*j**3 + 8*j**2 - 3*j - 8. Let u(l) be the first derivative of l**4 + l**3 - l**2/2 - 3*l + 310. Determine 3*b(p) - 8*u(p).
4*p**3 - p
Suppose 4*a - 37 = -1. Suppose 0 = 2*l - 11 + a. Let k(d) = -d + 1. Let j(g) = -g. Calculate l*k(y) + j(y).
-2*y + 1
Let b(j) = -j**2 - j. Let f = 42 + -24. Suppose 3*k + 0*k = f. Let p(q) = -3*q**2 - 6*q + 1. What is k*b(y) - p(y)?
-3*y**2 - 1
Let x(q) = q**3 - q**2 - 1. Let n(k) = 0*k**2 - 26 + k**3 - 2*k**2 + 25 + k + 3*k**3. Calculate -n(i) + x(i).
-3*i**3 + i**2 - i
Let s(j) = 11*j**3 - 13*j**2 + 13*j. Suppose 11*h - 16 = 17. Let f(x) = -2*x + 5*x + 6*x**2 - 9*x - 5*x**h. Calculate 9*f(b) + 4*s(b).
-b**3 + 2*b**2 - 2*b
Let b(c) = -2*c**3 + c**2 + 9. Let g(i) = -i**3 + 5. Suppose 16 = 3*y + 10. Suppose -s - 14 = y*o, -o - 9 = -2*s + 3*s. Determine o*g(x) + 3*b(x).
-x**3 + 3*x**2 + 2
Let u(m) = -2*m**2 + 9*m - 204. Let i(v) = -v**2 + 4*v - 102. Give 13*i(a) - 6*u(a).
-a**2 - 2*a - 102
Let t(f) = -2*f**2 + 4*f + 2. Let g(y) = y**2 - 3*y - 1. Let h(w) = -3*g(w) - 2*t(w). Let c(n) = -3*n**3 + 3*n**2 + 5*n - 3. Determine c(p) - 3*h(p).
-3*p**3 + 2*p
Let u(r) = -3*r - 2. Let b(h) = h + 1. Let k be (-4 - -6) + -2 - -1. Let s be (-6)/12*(k + -1). Let o be (0 - 4)/(-2 - s). What is o*b(a) + u(a)?
-a
Suppose 4*t + 15 = -r, 4*r + 4*t - 1 + 13 = 0. Let m(x) = 1. Let k be 2/4*2/1. Let l be (k/(-2))/1*-12. Let w(z) = -2*z - 5. Calculate l*m(v) + r*w(v).
-2*v + 1
Let n(r) = -4*r**2 - 3*r + 2. Let l(u) = -21*u**2 - 14*u + 12. Calculate 2*l(d) - 11*n(d).
2*d**2 + 5*d + 2
Let b(m) = -m + 1. Let w = -63 + 69. Let o = 5 - w. Let j(y) = -7*y + 2. Calculate o*j(v) + 2*b(v).
5*v
Let b(l) = -3*l + 13. Let y(u) be the first derivative of u**2/2 + 2*u - 15. Let x(c) = -2*c - 1. Let a(o) = 2*x(o) + 3*y(o). Give 7*a(v) - 2*b(v).
-v + 2
Let g(h) be the first derivative of -h**2/2 - 67. Let q(p) = -3*p - 2. Suppose v + 5 = 3*y, -4 = -y - 3. What is v*g(l) + q(l)?
-l - 2
Let c(i) = -13*i**2 + 9 - 22*i + 23*i + 20*i. Let f(v) = v**2 - 8*v + 9. Let a be f(8). Let b(t) = -3*t**2 + 5*t + 2. Give a*b(w) - 2*c(w).
-w**2 + 3*w
Let k(m) = -3*m**2 - 3*m - 3. Suppose 5 = 3*c - 4. Let q = -51 + 53. Let w(r) = 0*r**2 + 3*r - r + 2 + q*r**2. Calculate c*k(i) + 4*w(i).
-i**2 - i - 1
Let y(v) = -207088*v. Let g(h) = 295*h. Calculate -2107*g(w) - 3*y(w).
-301*w
Let c(p) = -p**3 + 6*p**2 + p. Let z(l) = 10*l**3 - 73*l**2 - 19*l. Give -22*c(o) - 2*z(o).
2*o**3 + 14*o**2 + 16*o
Let w(i) = -7*i - 40. Let h(t) = -t + 1. What is 6*h(p) - w(p)?
p + 46
Let m(w) = -2*w - 1. Let r(l) = -150 - 2*