+ 3
Let c(i) = -3*i + 1. Suppose -3*j = -3*p - 21, 1 = -j - p + 6. Let m(d) = -16 + d + 10 + j. What is c(z) + 2*m(z)?
-z + 1
Let l(c) = 5*c. Let w(y) be the second derivative of -11*y**3/6 + 3*y. Calculate -9*l(g) - 4*w(g).
-g
Let c(h) = -h**2 - h - 1. Let n(i) = 4*i**2 + 2*i + 2. Suppose -w = 3*w - 4. What is w*n(l) + 2*c(l)?
2*l**2
Let h(i) = 23*i - 27. Let z(x) = 24*x - 31. Let p(y) = -7*h(y) + 6*z(y). Let d be (7 - 2)*(-4)/5. Let q(c) = -6*c + 1. Determine d*p(u) + 11*q(u).
2*u - 1
Let t(g) = 6*g**2 + 2*g - 7. Let u(y) = 4*y**2 + y - 5. Give 5*t(z) - 8*u(z).
-2*z**2 + 2*z + 5
Let c(f) = -2*f - 3. Let y be c(4). Let v be (-2)/(-11) - (-200)/y. Let x(g) = 1. Let o(r) = r + 9. Determine v*x(b) + 2*o(b).
2*b
Let d(w) = 10*w - 5. Let z(a) = 29*a - 14. Determine -17*d(q) + 6*z(q).
4*q + 1
Let z(n) = 2*n**2 + 6*n + 7. Let a(y) = 2*y + 48. Let k be a(-21). Let x(w) = -2*w**2 - 5*w - 6. Determine k*z(u) + 7*x(u).
-2*u**2 + u
Let u(o) = -4*o. Let s be u(1). Let j(f) be the third derivative of -f**4/24 + f**3/2 - f**2. Let h(z) = z - 4. What is s*j(n) - 3*h(n)?
n
Suppose 0*p = 2*p. Suppose p*r + 3 = 3*r. Let y(z) = -3*z**3 - 3*z**2 - 3. Let b(d) = d**3 + d**2 + 1. What is r*y(s) + 4*b(s)?
s**3 + s**2 + 1
Let x(c) = 6*c - 1. Let m(l) = 7*l - 1. What is -5*m(d) + 6*x(d)?
d - 1
Let b(j) = -j**3 - 7*j**2 - 5*j - 2. Let r be b(-6). Let v be 2/(-8)*(4 + r). Let n(q) = q. Let z(w) = -4*w. Determine v*z(t) + 6*n(t).
2*t
Let n(l) = l**3 + l**2 + l + 1. Let o(f) = -9*f**3 + 12*f**2 + 12*f + 12. What is -12*n(p) + o(p)?
-21*p**3
Let n = 7 - 7. Let q(f) = -2*f + n - 2 + 7*f. Let k(h) = 3 - 2*h - 2 - h. Calculate 7*k(c) + 4*q(c).
-c - 1
Let a(y) = -9*y + 12. Let f(k) = -5*k + 6. Suppose -8 = 6*m - 26. What is m*a(l) - 5*f(l)?
-2*l + 6
Let w = -22 + 11. Let m = w + 10. Let n(v) = v - 1. Let j(c) = -3*c + 4. Let u(s) = j(s) + 4*n(s). Let l(r) = -2*r**2 - 6*r - 1. Calculate m*l(q) - 5*u(q).
2*q**2 + q + 1
Let r(i) = -i**2 - 2*i. Let w(o) be the third derivative of -o**5/15 - 11*o**4/24 - o**3/6 - 10*o**2. What is -11*r(g) + 2*w(g)?
3*g**2 - 2
Let k(o) = -o**2 + o + 1. Let u(t) = 7*t**3 + t**2 - 1. Determine -2*k(z) - 2*u(z).
-14*z**3 - 2*z
Let g(q) = -4*q + 3. Let f(o) = 5*o - 4. Let t(y) = 3*f(y) + 4*g(y). Let j(u) = 9*u. What is -j(k) - 12*t(k)?
3*k
Let t(m) = 4*m**3 + m**2 - 7*m + 1. Let f(r) = -2*r**3 + 3*r. Let u(k) = -7*f(k) - 3*t(k). Let p(c) = -2*c**3 + 4*c**2 + 4. Give -3*p(j) - 4*u(j).
-2*j**3
Let a(q) = -68*q + 5. Let p(s) = 67*s - 6. Give 4*a(h) + 3*p(h).
-71*h + 2
Suppose t = 4*t. Let d(r) = -4*r + 3*r + t - 1. Let c(g) = -2*g**3 + 13*g - 9*g + 3 - g**2 + 2. Calculate -c(h) - 5*d(h).
2*h**3 + h**2 + h
Suppose 0 = -4*g - j - 73, 2*g + 4*j - 65 = 7*g. Let h(k) = 3*k. Let l(y) = 8*y. Calculate g*h(t) + 6*l(t).
-3*t
Let p(b) = -b**3 + b - 1. Let d(q) = 8*q**3 - 3*q**2 - 5*q + 3. Determine d(f) + 5*p(f).
3*f**3 - 3*f**2 - 2
Let t(p) = -3. Let j(y) = -y - 1. Let u be j(-2). Let i(q) = -q**2 + 1. Give u*t(g) + 3*i(g).
-3*g**2
Let l(w) = 2. Let z(y) = 5*y + 4. Let f(b) = -6*b - 4. Let i(k) = -4*f(k) - 5*z(k). What is 3*i(p) + 7*l(p)?
-3*p + 2
Let v(a) = a**2 - a + 0*a**2 + 2 - 3. Let j(r) = 2*r**2 - 4*r - 4. Let w be (-3)/(-9) - (-52)/(-12). Determine w*v(p) + j(p).
-2*p**2
Let t(s) = -6*s**3 + s + 4. Let u(d) = -d**3 + d + 1. Suppose 5 = 5*z + 3*i, 2*i + 1 = -2*z + 3. Calculate z*t(g) - 4*u(g).
-2*g**3 - 3*g
Let c be 3/(0 + 6/8). Suppose k + 18 = c*k. Let m(i) = -1. Let x(b) = -6. Let v(r) = -5*m(r) + x(r). Let l(n) = n + 8. Give k*v(j) + l(j).
j + 2
Let m(n) = 2*n. Let p(c) be the third derivative of c**4/24 - 11*c**2. Let o = -3 + 7. Calculate o*p(d) - m(d).
2*d
Suppose 2*d + 0*d + 12 = y, -d + 1 = 3*y. Let f(v) = y + 2*v - 2*v - 4 - 5*v. Let w(r) = 3 + 9*r + 2 - 2. Determine -5*f(i) - 3*w(i).
-2*i + 1
Let l(o) be the second derivative of 5*o**4/12 + 7*o**3/6 + 7*o**2/2 + 17*o. Let g(d) = 3*d**2 + 4*d + 4. Give 7*g(u) - 4*l(u).
u**2
Let q(j) = -14*j**2 + 35*j - 11. Let g(v) = 5*v**2 - 12*v + 4. Give -17*g(h) - 6*q(h).
-h**2 - 6*h - 2
Let i(c) = 31*c**3 + 4. Let l(d) = -340*d**3 - 45. Determine -45*i(j) - 4*l(j).
-35*j**3
Let o(l) = -l**2. Let j(t) = 7*t**2 + 2*t - 1. Suppose 0 = 5*r + 25, 3*c - 8 - 14 = 2*r. Calculate c*o(u) + j(u).
3*u**2 + 2*u - 1
Let n(z) = -7*z**2 - 2*z - 3. Let g(f) = 6*f**2 + f + 2. Determine 4*g(i) + 3*n(i).
3*i**2 - 2*i - 1
Let n(q) = 7*q**3 - 5*q - 5. Let v(b) = -4*b**3 + 3*b + 3. Suppose 19*x - 23*x = -20. Give x*v(g) + 3*n(g).
g**3
Suppose -8*d = -d - 7. Let c(y) = y**2 - 6*y - 1. Let n(w) = -w. Calculate d*c(x) - 4*n(x).
x**2 - 2*x - 1
Let u(i) = 5*i - 11. Let j(s) = -s + 2. Give -11*j(w) - 2*u(w).
w
Suppose -6*r + 11*r = 10. Let x(n) = n**3 - 3*n**2 + n - 1. Let l be x(2). Let d(t) = -2*t**2. Let y(v) = -v**2. What is l*y(o) + r*d(o)?
-o**2
Let s(w) = -192*w**2 - 168*w - 168. Let z(i) = i**2 + i + 1. Give 3*s(x) + 504*z(x).
-72*x**2
Let r = -16 + 17. Let p(t) = -t**2 + 1. Let h(q) = -8*q**2 + 2*q + 6. Give r*h(o) - 6*p(o).
-2*o**2 + 2*o
Let v(o) = o**3 - 3*o**2 - 2*o + 2. Let a(z) = -z**3 + z - 1. Give 2*a(q) + v(q).
-q**3 - 3*q**2
Let z(c) = c + 1. Let h(x) = -8*x**2 + 8*x + 8. Determine -h(w) + 8*z(w).
8*w**2
Let m(k) be the first derivative of -k + 1. Let t(o) = -o + 1. Suppose -1 - 3 = 4*q. Calculate q*m(v) - t(v).
v
Let v(a) = -a**2 - 2*a - 2. Let g(p) = -p**3 - 2*p**2 - 1. Let o be g(-2). Let q(r) = -r**2 - 1. Determine o*v(n) + 2*q(n).
-n**2 + 2*n
Let i(y) = -16*y**2 - 4*y. Let f(s) = -15*s**2 - 4*s. Let z(p) = 5*f(p) - 4*i(p). Let r(v) = -5*v**2 - 2*v. Calculate 5*r(d) - 2*z(d).
-3*d**2 - 2*d
Let o(f) = f**2 - 1. Let s(p) = -11*p**2 + 2*p + 6. Determine -5*o(h) - s(h).
6*h**2 - 2*h - 1
Let q(x) = -3*x + 9. Let j(z) = z - 1. Suppose 0 = 5*r + y - 1, -4*r + r + 7 = -y. What is r*q(k) + 5*j(k)?
2*k + 4
Let v be -14*3/(-12) - 1. Let n(j) be the second derivative of 0 - v*j**2 + j + 1/2*j**3. Let c(r) = -5*r + 9. Calculate -4*c(k) - 7*n(k).
-k - 1
Let c(f) = -f. Suppose 103*g - 105*g - 10 = 0. Let h(v) = 3*v**2 - 5*v + 1. Give g*c(a) + h(a).
3*a**2 + 1
Let k(a) = 3*a**3 + a**2 + 2*a. Let p(d) be the second derivative of 3*d**5/10 + d**4/4 + 5*d**3/6 - 5*d. Calculate 5*k(v) - 2*p(v).
3*v**3 - v**2
Let p(c) = -17*c**2 - 3*c. Let x(q) = 51*q**2 + 8*q. Give -8*p(f) - 3*x(f).
-17*f**2
Let l(r) = 12*r - 11 - 32*r - 3. Let k = 33 - 16. Let n(y) be the first derivative of 7*y**2/2 + 5*y - 1. Give k*n(a) + 6*l(a).
-a + 1
Let q(m) = -m - 1. Let z(v) = 5 - 7 - 7 - 5*v + 2. What is 6*q(a) - z(a)?
-a + 1
Suppose 0*l + 5*l - 2*q = 384, -5*l = 2*q - 376. Suppose -t = t - l. Let o = 55 - t. Let f(u) = 7*u - 5. Let a(v) = -20*v + 14. Give o*f(k) + 6*a(k).
-k - 1
Let q(j) = -4*j**3 - 2*j**2 - 3*j - 3. Let k(p) = -21*p**3 - 11*p**2 - 16*p - 16. Give 4*k(i) - 22*q(i).
4*i**3 + 2*i + 2
Let h(o) = -o**3 + 2*o**2 + o. Let v(g) = -g**3 + 5*g**2 + 3*g + 1. What is -5*h(x) + 2*v(x)?
3*x**3 + x + 2
Let u(a) = -11*a + 3. Let i(d) = -120*d + 32. Give 3*i(y) - 32*u(y).
-8*y
Let h(x) = -2*x**2 + 3*x + 2. Let k(s) = -1. Let b(g) = -h(g) - 5*k(g). Let d(q) = -q**2 + q - 1. Let f = 6 - 5. Give f*b(a) + 3*d(a).
-a**2
Let l(x) = -485*x**3 + 55*x**2 - 55*x - 55. Let q(y) = -18*y**3 + 2*y**2 - 2*y - 2. What is 4*l(v) - 110*q(v)?
40*v**3
Let i(b) = 10*b - 5. Let q(x) = 1. Calculate i(p) + 6*q(p).
10*p + 1
Let t(h) = 49*h - 7. Let o(k) = -24*k + 4. Determine -7*o(s) - 4*t(s).
-28*s
Let o be -1 - 1 - (7 - 12). Let j(w) = -w**2 + 4*w + 3. Let d(x) = -1 - x**2 + 4 + 3*x - 1. What is o*d(u) - 2*j(u)?
-u**2 + u
Let q(k) = -3*k**3 - k + 5. Let r(d) = -2*d**3 - d + 3. What is -5*q(f) + 8*r(f)?
-f**3 - 3*f - 1
Let b(y) = -79*y + 5. Let a(l) = -276*l + 18. What is 5*a(g) - 18*b(g)?
42*g
Let b(u) be the third derivative of -u**4/24 - 2*u**3/3 - u**2. Let y(i) be the first derivative of -i + 1. Suppose 0 = a - 3 + 6. Give a*y(d) + b(d).
-d - 1
Let i(r) be the first derivative of -r - 6. Let j(g) = -4*g - 4. Calculate 4*i(a) - j(a).
4*a
Let h(c) = -c**2. Let z(v) = 8*v**2 - v + 32. What is -6*h(w) - z(w)?
-2*w**2 + w - 32
Let m(d) = -d + 4. Let c(w) = 2*w - 8. What is -6*c(i) - 11*m(i)?
-i + 4
Let h(j) = 10*j + 70. Let p(f) = -2*f - 14. Calculate 2*h(l) + 11*p(l).
-2*l - 14
Let v(m) = -14*m + 11. Let c(f) be the first derivative of -5*f**2/2 + 4*f - 9. What is 8*c(y) - 3