*l + 5. Give -3*v(t) - 2*w(t).
-15*t - 3
Let n(z) = -z**3 - z. Let k(i) = -8*i**3 - 8*i**2 - 8*i. Let v(t) = -k(t) + 3*n(t). Let j(h) = -3*h**2 - h + 3*h**3 + h**2 - 4*h**3. What is 9*j(w) + 2*v(w)?
w**3 - 2*w**2 + w
Let i(z) = 27*z - 5. Let h(n) = 40*n - 7. Determine 5*h(t) - 7*i(t).
11*t
Let b(a) = 2068*a - 235. Let d(z) = 53*z - 6. What is 6*b(r) - 235*d(r)?
-47*r
Let h(c) = 15*c + 3. Let o(j) = 15*j + 4. What is -4*h(v) + 3*o(v)?
-15*v
Let b(x) = -5*x + 10. Suppose 5 + 1 = y. Let i(n) = 14*n - 29. Calculate y*i(f) + 17*b(f).
-f - 4
Let l(o) = o**3 - 8*o**2 - o. Let c be l(8). Let q(f) = -9*f**3 - f**2 + 3*f. Let r(j) = 3*j**3 + 5*j - j**3 - 2*j**2 - 16*j**3. Calculate c*q(y) + 5*r(y).
2*y**3 - 2*y**2 + y
Let t(b) = 13*b**2 + 2. Let r(o) = 675*o**2 + 105. What is 2*r(l) - 105*t(l)?
-15*l**2
Let j(q) = -6*q. Let b(t) = -29*t - 1. Determine -2*b(c) + 11*j(c).
-8*c + 2
Let h(t) = 4*t + 1. Let z(p) = -8*p - 2. What is -5*h(u) - 2*z(u)?
-4*u - 1
Let i(v) = -3*v**3 + 3*v**2 + 7*v + 7. Let c(p) = p - 1. Let g be c(3). Let h(w) = 5*w + 2*w**2 + 1 + 7 - g*w**3 - 4 + 1. Calculate 7*h(m) - 5*i(m).
m**3 - m**2
Let w(u) = 4*u**2 - 5*u + 2. Let f(r) = 7*r**2 - 9*r + 4. Give 3*f(m) - 5*w(m).
m**2 - 2*m + 2
Let p(v) be the second derivative of -5*v**4/12 - v**3/3 + 39*v. Let i(o) = 10*o**2 + 4*o. Give 3*i(l) + 7*p(l).
-5*l**2 - 2*l
Suppose -9*p + 10 = -4*p. Let k(q) = -4*q - 2. Let x(c) = -20*c - 9. Let y(j) = p*x(j) - 11*k(j). Let n(a) = -2*a - 2. Let o = 15 + -4. Give o*n(t) + 6*y(t).
2*t + 2
Let x(u) = -u + 4. Let h(l) = 2. Let r(k) = 5*h(k) - 3*x(k). Let s(m) = m - 1. Suppose 42*t - 12*t + 300 = 0. What is t*s(z) + 4*r(z)?
2*z + 2
Let o(k) = 3*k**3 + 6*k**2 + 3. Let s(l) = 3*l**3 + 5*l**2 + 2. Calculate -2*o(r) + 3*s(r).
3*r**3 + 3*r**2
Let f(b) = -4*b + 5. Let s(d) be the first derivative of 17*d**3/6 - 21*d**2/2 + 5*d - 6. Let c(m) be the first derivative of s(m). Calculate -2*c(a) - 9*f(a).
2*a - 3
Let f(l) = -2*l + 5. Let h(j) = 274 - j + 4*j - 283. Calculate 5*f(m) + 3*h(m).
-m - 2
Suppose -306 = 28*l - 10*l. Let p(c) = 11*c**2 + 6*c + 14. Let h(q) = 4*q**2 + 2*q + 5. Calculate l*h(n) + 6*p(n).
-2*n**2 + 2*n - 1
Let d(a) = -4*a. Let c(u) = 10*u + 212 - 212. Suppose -4*o = f + 4, -2*f + o = -2*o - 36. Determine f*d(y) + 5*c(y).
2*y
Let m(s) = -s + 1. Let a(f) = -f + 2. Determine -a(h) - 6*m(h).
7*h - 8
Let s(w) = 5 - 5 - w. Let c(p) = -7*p - 1. Let u(j) = -j. Let k(y) = -c(y) + 5*u(y). Let g = -27 - -30. Give g*s(x) + 2*k(x).
x + 2
Let o(q) = -q**3 - q**2 - q - 1. Let c(v) = 4*v**3 + 2*v**2 - 2*v + 2. What is -c(s) - 2*o(s)?
-2*s**3 + 4*s
Let q(w) = 5*w**3 - 2*w + 1. Let l(b) = -4*b**3 + 2*b. Calculate -3*l(j) - 2*q(j).
2*j**3 - 2*j - 2
Let b(c) = 11*c**2 - 9*c - 13. Let h(n) = -5*n**2 + 4*n + 6. Let x(a) = -a**3 - a**2 + 4*a - 5. Let f be x(2). Calculate f*h(l) - 4*b(l).
l**2 - 2
Let w(j) = 56*j - 13. Let o(t) = -28*t + 7. Give -11*o(h) - 6*w(h).
-28*h + 1
Let i(c) = -5*c**3 - 2*c + 2. Let w(a) = 81*a**3 + 33*a - 33. Give -33*i(k) - 2*w(k).
3*k**3
Let f(v) = -4*v - 9. Let j(l) = 11*l + 27. What is 8*f(y) + 3*j(y)?
y + 9
Let b(m) = 325*m**3 - 52*m**2 - 52*m. Let s(h) = 31*h**3 - 5*h**2 - 5*h. What is -5*b(w) + 52*s(w)?
-13*w**3
Let k = -5 - -7. Suppose 0 = 4*j + k*w - 14, 2*w - 5*w = 3*j - 18. Let x(r) = 1. Let d(z) = -z**2 - 3. What is j*d(g) + 3*x(g)?
-g**2
Let o(f) = f**3 - 17*f**2 + 16*f + 11. Let c be o(16). Let r(p) = -8*p**2 + 3*p**2 - 9*p**2 - 3*p**2. Let b(l) = 6*l**2. Calculate c*b(z) + 4*r(z).
-2*z**2
Let u(a) = a**3 - 4*a**2 + 2. Let o(i) = -2*i**3 + 13*i**2 - 7. Calculate 2*o(n) + 7*u(n).
3*n**3 - 2*n**2
Let c(y) = -4*y + 4. Let x(b) = b - 3. Let u(i) = 5*i - 16. Let s(t) = 6*u(t) - 33*x(t). Give 2*c(o) - 3*s(o).
o - 1
Let g(x) = 7*x. Let d(q) = -7*q. What is 6*d(n) + 7*g(n)?
7*n
Suppose -2*w + 3*w + 19 = 3*s, 3*s = -3*w + 15. Let u = s + -19. Suppose -5*f + 0*f = -30. Let q(i) = 11*i. Let l(r) = 5*r. Determine f*q(n) + u*l(n).
n
Let i(y) be the first derivative of -3*y - 9. Let x(m) = m + 4. Give 4*i(r) + 3*x(r).
3*r
Let c(q) = -q**2 - 10*q - 2. Let g be 9/(-2*3/6). Let t be c(g). Let d(o) = -2*o + 4. Let k be (-2 + 0)/2*3. Let i(y) = -y + 2. Give k*d(p) + t*i(p).
-p + 2
Let g(h) = -11*h + 2. Let j(x) = -12*x + 2. Give -3*g(n) + 2*j(n).
9*n - 2
Let p(c) = 8*c**3 - 4*c**2 - 5*c + 2. Let h(y) = -9*y**3 + 5*y**2 + 6*y - 2. What is -4*h(j) - 5*p(j)?
-4*j**3 + j - 2
Let q(s) = 1. Let v(u) = 23*u + 92. What is -92*q(j) + v(j)?
23*j
Let d(n) = -8*n - 5. Suppose -s + 2 = -3. Let x(r) be the first derivative of -7*r**2/2 - 4*r - 3. Determine s*d(f) - 6*x(f).
2*f - 1
Let w(n) = -7*n - 4. Let x(m) = 6*m + 3. Suppose 2*g + 0*g = -6. Suppose 2*d - 5 = -3*p, 2*p - 4*p - 3*d = -5. Let j = p - g. Calculate j*w(a) + 5*x(a).
2*a - 1
Let m(c) = -c + 1. Let r(i) = 6*i - 5. Determine 5*m(j) + r(j).
j
Let t(j) = 2*j**2 - 2*j + 3. Let n(p) be the first derivative of -10*p**3/3 + 11*p**2/2 - 16*p - 17. Determine 2*n(r) + 11*t(r).
2*r**2 + 1
Let c(q) be the second derivative of q**5/5 + q**4/6 - q. Let d(o) be the first derivative of -o**4/4 - 284. Give -c(g) - 3*d(g).
-g**3 - 2*g**2
Let j(q) = -q + 6. Let v(b) = -b + 7. Let n(r) = r - 7. Let o(c) = 6*n(c) + 5*v(c). Give 7*j(h) + 6*o(h).
-h
Let k(u) = -21*u + 3. Let z(d) = -52*d + 8. Give -12*k(b) + 5*z(b).
-8*b + 4
Let p(r) = -5*r - 1. Suppose 5*v = -39 - 1. Let b = 12 + v. Let m(q) = -q + 4*q - b*q. Give -6*m(o) + p(o).
o - 1
Let q(v) = 4. Let m(w) = -w + 8. Calculate 3*m(u) - 5*q(u).
-3*u + 4
Let a(h) = h**2 + h - 1. Suppose 6 = -l + 4*l. Suppose -5*o + 4*d - 15 = 0, -l*o + 27 = -0*o + 5*d. Let n(p) = -9*p**2 - 6*p + 6. What is o*n(y) + 6*a(y)?
-3*y**2
Let d(q) = 4*q**2 - 3*q + 3. Let s = 4 + -2. Let x(p) = -p - 1. Let m be x(-9). Let l(a) = m*a**s - 7*a + 3*a**2 + 7 - 2*a**2. Calculate 7*d(w) - 3*l(w).
w**2
Let f(j) = -j**3. Let x(h) = 7*h**3. Let a(k) = -15*k**3. Let q(b) = -6*a(b) - 13*x(b). What is -5*f(z) + 4*q(z)?
z**3
Let g(v) = -v**2 - 9*v - 2. Let d be g(-8). Let w(x) = -9*x**2 + 9*x + 7. Let i(f) = 5*f**2 - 5*f - 4. Calculate d*w(j) + 11*i(j).
j**2 - j - 2
Let r(u) = -2*u + 10. Suppose -5*m = 33 + 2. Let v(o) = o - 3. Give m*v(x) - 2*r(x).
-3*x + 1
Let d(l) = -15*l + 1. Let j(u) = 14*u - 1. Give -4*d(i) - 3*j(i).
18*i - 1
Let z(u) = u**2 - 10*u - 16. Let w(a) = -a**2 + 5*a + 8. Let f(x) = 9*w(x) + 4*z(x). Let b(g) = 2*g**2 - 2*g - 3. Give 11*b(i) + 4*f(i).
2*i**2 - 2*i - 1
Let n(o) = 3*o - 4. Let b(u) = -4*u + 3. Suppose 5*d - 36 = -4*d. Give d*b(c) + 3*n(c).
-7*c
Suppose 0 = -5*s - 7 - 3. Let m(w) = 2*w + 2. Let p(h) = -8*h - 9. Determine s*p(j) - 9*m(j).
-2*j
Let l(j) = -j + 13. Let y(c) = -c + 12. Calculate -2*l(f) + 3*y(f).
-f + 10
Let b(r) = -5*r + 4. Let w(y) = -y**2 - 4*y + 8. Let z be w(-4). Let i be 3*(-1)/(6/(-4)). Let f(o) = -2 + 15 - 14*o - i. What is z*b(s) - 3*f(s)?
2*s - 1
Let r(h) = -11*h**2 + 8*h - 12. Let a(q) = 4*q**2 - 3*q + 4. Let t(v) = -8*a(v) - 3*r(v). Let n(l) = -1 + 1 - 1. Let y = 1 - 0. What is y*t(c) + 4*n(c)?
c**2
Let j(q) = -2*q**3 - 6*q**2 - 10*q - 1. Let v(k) = k**3 - k. Let x(g) = -j(g) + 2*v(g). Let r(z) = -5*z**3 - 7*z**2 - 9*z - 1. What is 6*r(u) + 7*x(u)?
-2*u**3 + 2*u + 1
Let t(d) = 0*d**2 - 7*d**2 + 0*d**2 - 3*d**2. Let n(j) = j**2. Let y(p) = -p**3 - 2*p**2 + 2*p. Let o be y(-3). Suppose 2 = -o*b - 4. Give b*t(w) - 18*n(w).
2*w**2
Let u(o) = -o. Let x(d) = d**2 - 7*d + 10. Let f be x(3). Let j(s) = -3*s + 2. What is f*u(m) + j(m)?
-m + 2
Let t(k) = 2*k**2 + 3*k - 3. Let i be t(-3). Suppose -x + i = x. Let g = -8 - -6. Let f(m) = -m - 5. Let h(r) = -r - 4. Calculate g*f(j) + x*h(j).
-j - 2
Let p be (-2)/(-2)*(-2 - -15). Let k(u) = -23*u - 29. Let f(s) = 12*s + 14. Let y(m) = 5*f(m) + 3*k(m). Let q(i) = 4*i + 8. What is p*q(l) + 6*y(l)?
-2*l + 2
Let y(r) be the first derivative of -r**2 + 1. Let n(i) = -2*i. Let z be (14/35)/((-2)/20). Let d = -5 + 8. Determine d*y(g) + z*n(g).
2*g
Let a(o) = -8*o**2 - o + 3. Let m(u) = -u**2 + 1. What is a(s) - 6*m(s)?
-2*s**2 - s - 3
Let b(t) = -t**3 + t**2 + t. Let s(r) = -12*r**3 + 5*r**2 + 2*r + 2. Determine 2*b(q) - s(q).
10*q**3 - 3*q**2 - 2
Let o(w) = -28*w - 5. Let k(l) = 84*l + 14. What is -3*k(z) - 8*o(z)?
-28*z - 2
Let o(k) = k**2. Let z(x) = -2*x - 9*x + 0*x. Let s be z(1). Suppose 5*d - 2*d = -6. Let p(c) =