3
Let y(o) = -28*o. Let n(z) = 9*z. Determine 7*n(a) + 2*y(a).
7*a
Let y(o) = 5*o**2 - 7*o - 9. Let h = -34 + 27. Let r(s) = 2*s**2 - 3*s - 4. Determine h*r(k) + 3*y(k).
k**2 + 1
Let j(a) = 3*a**2 - 7*a + 4. Let o(i) = i. Determine -j(q) - o(q).
-3*q**2 + 6*q - 4
Let g(t) = 2*t**3 - 5*t**2 - 3*t + 1. Let i(j) = 2*j**3 - 4*j**2 - 2*j + 1. Let f = 0 - 3. Give f*i(p) + 2*g(p).
-2*p**3 + 2*p**2 - 1
Let l = 26 - 31. Let u(r) = 7*r**3 + 5*r**2 + r + 3. Let p(w) = 8*w**3 + 6*w**2 + w + 4. Give l*p(n) + 6*u(n).
2*n**3 + n - 2
Let d(z) = -5*z**3 + 9*z**2 - 11*z - 7. Let r(g) = -g**2 + 8*g + 11. Let n be r(9). Let s(x) = 5*x + n*x**3 + 3 - 2 + 2 - 4*x**2. What is -3*d(h) - 7*s(h)?
h**3 + h**2 - 2*h
Let x(j) be the first derivative of 4/3*j**3 + 1/4*j**4 + 0*j + 3 + 0*j**2. Let z(l) = l**3 + 3*l**2. Determine 3*x(g) - 4*z(g).
-g**3
Let d(m) = 2*m**2 - 7*m - 7. Let r(q) = -q**2 + 3*q + 3. Suppose 7*w - 3*b = 2*w - 29, 0 = 5*b - 15. Calculate w*d(h) - 9*r(h).
h**2 + h + 1
Suppose -38 - 6 = 3*h + 2*k, -3*h - 64 = -2*k. Let d(a) = -5*a**3 - 13*a**2 - 9*a. Let y(z) = -z**3 - 3*z**2 - 2*z. Calculate h*y(v) + 4*d(v).
-2*v**3 + 2*v**2
Let g = 278 + -281. Let p(z) = -2*z + 11*z**3 - 3 + 7*z**2 - 5*z - 6. Let a(w) = -5*w**3 - 3*w**2 + 3*w + 4. Calculate g*p(r) - 7*a(r).
2*r**3 - 1
Let f(p) = p. Let g(z) = -z + 1. Suppose 0 = -0*k + k + 5. Let o = k - -2. Give o*g(h) - 2*f(h).
h - 3
Let f(s) = -10*s**2 - 7*s - 7. Let a(v) = -2*v - 3. Let z be a(-3). Suppose -2*y = -z*y + 7. Let h(c) = 3*c**2 + 2*c + 2. What is y*h(q) + 2*f(q)?
q**2
Let w(x) = 7*x**2 - x + 4. Let t(l) = -15*l**2 + 2*l - 9. Let r be (5/((-105)/(-18)))/((-2)/14). Give r*t(b) - 13*w(b).
-b**2 + b + 2
Let r(p) = 1350*p - 1344*p + 3 - 1. Let a(g) = 7*g + 2. Give 5*a(m) - 6*r(m).
-m - 2
Let h(y) = y**2 - y. Let f(d) = 5*d**2 - 1. What is -f(q) + 3*h(q)?
-2*q**2 - 3*q + 1
Let y(k) = -8*k**3. Let u(c) = -17*c**3 - c**2. What is -2*u(t) + 5*y(t)?
-6*t**3 + 2*t**2
Let q(o) = -o**3 + o. Let c be q(0). Suppose 2*m + 4*v = -c*m, 5*m + 4*v + 6 = 0. Let y(t) = -3*t - 2. Let a(x) = 4*x + 3. Determine m*a(g) - 3*y(g).
g
Let k(r) = -r**3 + 3*r - 3. Let g(z) = 2*z**3 - 5*z + 5. Suppose 2*n + 0 = 2*j - 4, j = 5. Suppose -6 = n*v - 3. Let h = v - -4. What is h*g(b) + 5*k(b)?
b**3
Let i(c) = -c + 1. Let h(b) = 5*b + 4. Determine h(q) - 4*i(q).
9*q
Let v(b) = -9*b - 10. Let i(j) = 3*j + 3. Determine 7*i(u) + 2*v(u).
3*u + 1
Let h(g) = 8*g - 4. Let w(m) = -4*m + 2. What is -4*h(o) - 7*w(o)?
-4*o + 2
Let u(s) = 7*s**3 + 8*s**2 + 6. Let f(l) be the second derivative of -l**5 - 23*l**4/12 - 17*l**2/2 + 21*l. Calculate -6*f(y) - 17*u(y).
y**3 + 2*y**2
Let a(m) = 2*m**2. Let x be (2 + -4)*(1 + -2). Suppose -5*g + g - 18 = x*r, r = -g - 5. Let l(h) = h**2. Give r*a(o) + l(o).
-o**2
Let s(i) = i**2 - i + 1. Suppose 5*q + 0*q = 0. Suppose -4*x + 2*x + 2 = q. Let u(d) = -12*d**2 + 10*d - 10. Let n = 25 - 15. Calculate n*s(c) + x*u(c).
-2*c**2
Suppose 3*l + v - 4*v = 0, 2*l + 20 = -2*v. Let w(j) = -6*j - 1 + 2 + 0. Let o(c) = -c. Calculate l*o(g) + w(g).
-g + 1
Let l(m) = 7*m**2 - 3*m - 4. Let b(o) = -6*o**2 + 2*o + 3. Suppose -2*p - 12 = 2*h, -3*h + 0*p + p = 14. Calculate h*b(y) - 4*l(y).
2*y**2 + 2*y + 1
Let b be 2*(0 + 2/(-4)). Let h(m) = -8*m + 14. Let u(v) = v - 1. Let a(j) = b*h(j) - 10*u(j). Let n(f) = -1. Determine a(i) - 3*n(i).
-2*i - 1
Let n(j) = 27 - 22 + 3*j - 9*j. Let w(h) = 7*h - 6. Calculate -5*n(m) - 4*w(m).
2*m - 1
Let u(h) = h**2 + h + 1. Let k(c) = -20*c**2 + 2*c - 1. Give k(i) + u(i).
-19*i**2 + 3*i
Let w(c) = 2*c**2 + 2*c - 1. Let x(r) = -r**2 - r + 1. What is 6*w(q) + 13*x(q)?
-q**2 - q + 7
Let m(z) = -z + 1. Let u(t) = 3. What is -2*m(c) - 2*u(c)?
2*c - 8
Let f(d) = -9*d - 12. Let j(c) = -4*c - 6. Determine -2*f(y) + 5*j(y).
-2*y - 6
Let h = 1 - -1. Let d(n) = -2*n - n**3 - h - 2*n - 2*n**2 + 6*n. Let t(r) = 188*r - 6*r**3 - 363*r + 186*r - 11 - 11*r**2. Determine 11*d(w) - 2*t(w).
w**3
Let g(v) = v - 1. Let l(m) = m. Suppose 8*p - 12*p + 16 = 0. Determine p*l(i) - 3*g(i).
i + 3
Let b(t) = t**3 + 2*t + 2. Suppose 12*j - 18*j = 36. Let h(x) = x + 1. Calculate j*h(f) + 3*b(f).
3*f**3
Let l(i) = -2*i**3 + i - 3. Let c(n) = -2*n**3 + n - 2. Suppose 2*g = 6 + 8. Let d(m) = -m + 10. Let j be d(g). What is j*l(r) - 4*c(r)?
2*r**3 - r - 1
Let y(x) = -x**3 + 4*x**2 - 4*x - 4. Let a(h) = -h + h**2 - 2 - 1 + 2. Let z(t) = t**3 + 6*t**2 + 5*t - 4. Let i be z(-5). What is i*a(d) + y(d)?
-d**3
Let n(j) = -j + 7. Let m(c) = -6. Let d(i) = 2*m(i) + 3*n(i). Let g(z) = 1. Calculate d(k) - 9*g(k).
-3*k
Let k(s) = -3*s**2 - 6*s + 2. Let r(u) = 4*u**2 + 5*u - 2. What is -2*k(i) - 3*r(i)?
-6*i**2 - 3*i + 2
Let b(k) = -114*k**3 + 14*k. Let c(v) = -38*v**3 + 5*v. Give -5*b(p) + 14*c(p).
38*p**3
Let a(s) = -s**2. Let y(q) = 80*q**3 - 6*q**2 - q. Determine 6*a(k) - y(k).
-80*k**3 + k
Suppose 0*k = 3*k - 6. Let p be (5/(-3))/(k/6). Let i = p + -2. Let l(b) = 2*b + 3. Let d(y) = y**2 + 7*y + 10. What is i*l(q) + 2*d(q)?
2*q**2 - 1
Let k(b) = b**2 + b - 5. Let c(y) = y**2 + y - 6. Let s(o) = 6*c(o) - 7*k(o). Let g(z) = z**2 + z + 1. Suppose 0 = x - 16*x + 60. Calculate x*s(h) + 6*g(h).
2*h**2 + 2*h + 2
Let o(f) = f**3 + 6*f**2 + 5*f - 3. Let s be o(-5). Let b(i) = 10*i**2 + 4*i. Let l(r) = 2*r**2 + r. Give s*b(v) + 14*l(v).
-2*v**2 + 2*v
Suppose 7*d - 4*d - 48 = 0. Let n(j) = 22*j - 6. Let k(h) = -7*h + 2. Determine d*k(x) + 5*n(x).
-2*x + 2
Let i(w) = 4*w**3 - 9. Let g(d) be the second derivative of -d**5/20 + d**2 - 6*d. What is -18*g(x) - 4*i(x)?
2*x**3
Let s(p) = 40*p**3 + 9*p + 9. Let f(x) = -10*x**3 - 2*x - 2. Give 9*f(a) + 2*s(a).
-10*a**3
Let v(k) be the first derivative of 3*k**3 + 7*k**2/2 + 1. Let h(c) be the first derivative of 4/3*c**3 + 0*c - 1 + 3/2*c**2. Calculate 14*h(u) - 6*v(u).
2*u**2
Let a(d) be the first derivative of d**3/3 - d**2 + 5*d - 7. Let u(l) be the second derivative of l**4/12 - l**3/6 + l**2/2 + 2*l. What is a(w) - 3*u(w)?
-2*w**2 + w + 2
Let k(i) = -2*i**2 - 3*i + 1. Let a(q) = -q**2 - q. What is -4*a(s) + k(s)?
2*s**2 + s + 1
Let n = 4 + -1. Let b(d) = -3*d**2 + 3*d - 3. Let y(o) = -7*o**2 + 6*o - 7. Let p(v) = 5*b(v) - 2*y(v). Let q(l) = l**2 - 4*l + 2. Calculate n*q(z) + 4*p(z).
-z**2 + 2
Let s(m) = -2*m**3 - 4*m**2 + m + 3. Let z(g) = -4*g**3 - 9*g**2 + 2*g + 7. Give 9*s(v) - 4*z(v).
-2*v**3 + v - 1
Let f(k) = 3*k + 73. Let h(g) = -g + 1. What is f(q) + 2*h(q)?
q + 75
Let g(h) = 12*h - 1. Let r(w) = -11*w. What is -3*g(y) - 4*r(y)?
8*y + 3
Let o(h) = 2*h + 5. Let k(t) = 6*t**2 - t - 1. Let p be k(-1). Suppose p = -g + 4*g. Let m(v) = -1 + g + 1 - 3. What is -3*m(f) - o(f)?
-2*f - 2
Let j(l) = -4 - 4*l + 5 - 1 + 7. Let z(t) = -3*t + 6. Let g be (-4)/14 + 120/28. Suppose -5*n = 4*o + 10, o - g*n = -0*n - 13. What is o*z(r) + 4*j(r)?
-r - 2
Let i(j) = -7*j**3 + 2*j**2 + 6*j + 4. Let x(w) = -w**3 + w**2 - w. Let c(p) = 3*p**3 - 4*p**2 + 5*p + 1. Let f(s) = c(s) + 4*x(s). Determine 6*f(z) - i(z).
z**3 - 2*z**2 + 2
Let o(h) be the second derivative of h**5/5 + h. Let x(s) = 12 - 8 - 4 + s**3. Let j be 1/(-4*(-4)/64). Give j*o(a) - 18*x(a).
-2*a**3
Let n(u) = -5*u - 5. Let w(f) = 6*f + 6. Let r(q) = 7*n(q) + 6*w(q). Let h(g) = 2*g + 1. What is 4*h(j) - 5*r(j)?
3*j - 1
Let h(j) = j**2 + 10*j + 2. Let t(g) = 4*g**2 + 30*g + 7. Determine -7*h(d) + 2*t(d).
d**2 - 10*d
Let o(h) = -2*h**2 + 5*h - 2. Let z be 2 - -1*(-3 - -1). Let k(f) = 2*f - 3*f + z*f. Give -6*k(w) - o(w).
2*w**2 + w + 2
Let q(v) = -2*v**3 + v**2 + 6*v. Let g(t) = -2*t**3 + t**2 + 5*t. Let a(o) = -9 + o - o**2 - 9*o + 2 + 0. Let b be a(-6). Determine b*q(m) - 6*g(m).
2*m**3 - m**2
Let j(q) = 5*q - 54. Let b be j(13). Let t(s) = 2*s**3 - 9*s**2 - 4*s - 4. Let u(r) = -6*r**3 + 26*r**2 + 11*r + 11. Calculate b*t(p) + 4*u(p).
-2*p**3 + 5*p**2
Let l(v) = v**3 - v + 1. Let c(x) = 8*x**3 + 9*x - 5. What is -c(t) - 6*l(t)?
-14*t**3 - 3*t - 1
Let u(j) = 4*j**3 - 2*j + 2. Let h(d) = 0*d - 10*d - d + 21*d**3 + 0*d + 10. Give 2*h(o) - 11*u(o).
-2*o**3 - 2
Let z(v) = 4*v**3 + 4*v**2 - 2*v - 5. Let p(k) = -15*k**3 - 17*k**2 + 9*k + 20. What is 2*p(l) + 9*z(l)?
6*l**3 + 2*l**2 - 5
Let d(n) = -5*n**3 - 3*n**2 + 2. Let r(m) = -m**3 + m**2 + 1. What is d(k) - 2*r(k)?
-3*k**3 - 5*k**2
Let m(x) = 4*x**3 - 2*x + 2. Suppose -2*c = -5*t - 5, 3*t - 4 = 2*c - 3. L