+ 2
Let z(n) = n - 17. Let v be z(0). Let p(h) = 3*h**2 - 4*h + 6. Let t(k) = 9*k**2 - 11*k + 17. Determine v*p(r) + 6*t(r).
3*r**2 + 2*r
Let b(l) = -23*l + 11. Let p(r) = 8*r - 4. Let x(u) = 3*b(u) + 8*p(u). Let w(o) = o. Calculate 3*w(i) + x(i).
-2*i + 1
Let l(k) = k. Let d = -73 + 74. Let u(y) = -y**2 - 2*y - 2. Calculate d*u(v) + 3*l(v).
-v**2 + v - 2
Let l(i) = i**3 + i. Let n(m) = 3*m**3 + 2*m. Give -4*l(x) + 2*n(x).
2*x**3
Let w(j) = j + 1. Suppose 0 = -5*m - 2*o + 6 + 12, -3*o + 22 = 5*m. Let y = -3 + m. Let k(z) = -2*z - z + 4*z. Determine y*k(v) - w(v).
-2*v - 1
Let v(a) be the second derivative of -a**4/6 - a**3/6 + 7*a**2/2 - a. Let h(w) = -w + w**2 + 2*w**2 + 4 - 4*w**2. Calculate -5*h(n) + 3*v(n).
-n**2 + 2*n + 1
Let q(i) = 5*i**3 - 5*i**2 - 4*i - 3. Let z = -1 + 3. Let n(t) = 0 - 9*t**z - 4 - 1 - 7*t + 9*t**3. Let r(v) = -v - 4. Let y be r(-7). What is y*n(j) - 5*q(j)?
2*j**3 - 2*j**2 - j
Let b(c) = -3*c - 4 + 13*c**2 + 7*c**2 - 19*c**2. Let r(d) = -d**2 + 4*d + 5. What is 3*b(x) + 2*r(x)?
x**2 - x - 2
Let h(u) = 8*u - 5. Let k(r) = -r + 1. Calculate h(p) + 2*k(p).
6*p - 3
Let v(l) = 2*l**3 + 7*l**2 - 2*l - 6. Suppose b - r + 1 = 0, 61 = -5*b - 4*r + 11. Let y(k) = -2*k**3 - 6*k**2 + 2*k + 5. What is b*y(w) - 5*v(w)?
2*w**3 + w**2 - 2*w
Let m(r) = r**3 + r**2. Let c(t) = 9*t**3 + 7*t**2. What is -2*c(j) + 14*m(j)?
-4*j**3
Let k(n) = 2*n**2 - 3*n + 1. Let j be k(2). Let y(i) = i + 4 - j - 2*i + 0. Let v(a) = -2*a + 3. Give v(q) - 3*y(q).
q
Let a be ((-1)/(-3))/(31/93). Let l(k) = k + 1. Let m(o) be the first derivative of -2*o**3/3 - 3*o**2 - 4*o + 1. Determine a*m(c) + 6*l(c).
-2*c**2 + 2
Let n(j) = -8*j + 2. Suppose 10*z - 55 = 15*z. Let v(u) = -15*u + 4. Calculate z*n(o) + 6*v(o).
-2*o + 2
Let f(u) = 11*u - 15. Suppose 2*c - 6*c = 52. Let l(j) = 0 + 5 + 2 + 0*j - 5*j. Let p(i) = i**3 - 5*i**2 + 4*i - 6. Let g be p(4). Determine c*l(h) + g*f(h).
-h - 1
Let y(m) = m**2 - m + 1. Let v(c) = -7*c**2 + 6*c - 6. Let d = 15 - 16. Give d*v(b) - 6*y(b).
b**2
Let s(i) = i**2. Let u(r) = -6*r**2 - r - 1. Let w = 25 - 23. Determine w*u(z) + 11*s(z).
-z**2 - 2*z - 2
Let z(w) = w**2. Let j(f) = -6*f**2 + 5*f - 2. Give j(t) + 3*z(t).
-3*t**2 + 5*t - 2
Let n(c) = 37*c**3 - 8*c**2 + 8*c. Let u(v) = 25*v**3 - 5*v**2 + 5*v. Determine 5*n(o) - 8*u(o).
-15*o**3
Let x(y) = -15*y + 3. Let i = 124 + -130. Let f(k) = -5*k + 1. Calculate i*x(s) + 17*f(s).
5*s - 1
Let d(t) = -4*t. Suppose 0 = -3*i + 2*j - 4, j = i + 2*j - 7. Let c(x) = -x. Give i*c(b) - d(b).
2*b
Let y(u) = 198*u**3 - 45*u**2 + 45*u - 45. Let f(p) = 9*p**3 - 2*p**2 + 2*p - 2. Calculate -45*f(w) + 2*y(w).
-9*w**3
Let d be 8/(-32) + 6/(-8). Let q(s) = -s**2 - 1. Let f(u) = 5*u**2 + u + 5. Calculate d*f(x) - 3*q(x).
-2*x**2 - x - 2
Let o(w) = -7*w**3 - 9*w**2 - 7*w - 5. Let g(v) be the third derivative of v**6/30 + v**5/12 + v**4/6 + v**3/2 + 10*v**2. What is -5*g(z) - 3*o(z)?
z**3 + 2*z**2 + z
Let j(o) = -3*o**2 - 6*o. Let a(f) = 8*f**2 + 17*f. Calculate 6*a(i) + 17*j(i).
-3*i**2
Let q(w) = -19*w + 8. Let a(k) = 56*k - 23. Determine -6*a(l) - 17*q(l).
-13*l + 2
Let c(d) = -2*d**2 + 6*d - 5. Let j(m) = -2*m**2 + 7*m - 6. What is 7*c(o) - 6*j(o)?
-2*o**2 + 1
Let f(s) = -s. Let x = -5 + 4. Let w(l) = -6*l - 1. Give x*w(a) + 4*f(a).
2*a + 1
Let s(g) = -2*g + 5. Let m(u) = 3*u - 10. Let x(y) = 3*m(y) + 5*s(y). Let f(v) = 1. Calculate 4*f(z) + x(z).
-z - 1
Let z(u) = -u - 1. Let s(a) = a**3 + 4*a**2 + 8*a + 8. Let y(d) = -d**3 - 5*d**2 - 9*d - 9. Let h(l) = 5*s(l) + 4*y(l). What is -h(j) - 4*z(j)?
-j**3
Let k(t) = -6*t**3 + 4*t**2 + 4*t + 4. Let i(d) be the first derivative of 5*d**4/4 - d**3 - 3*d**2/2 - 3*d + 10. Calculate 4*i(a) + 3*k(a).
2*a**3
Let t(b) = b**3 + 6*b - 1. Let q(h) = -2*h**3 - h**2 - 18*h + 3. Calculate -3*q(k) - 8*t(k).
-2*k**3 + 3*k**2 + 6*k - 1
Suppose p = -2*p - 3*k + 15, 2*k = 0. Let v(m) = 11*m. Let q(r) = 14 - 14 - 6*r. What is p*q(g) + 3*v(g)?
3*g
Let i(x) = -3*x**2 + 8*x + 4. Let q(p) = 2*p**2 - 7*p - 3. What is -3*i(h) - 4*q(h)?
h**2 + 4*h
Let n(g) = -g**2 - g - 1. Let d(u) be the second derivative of 0*u**3 + 0 - 1/4*u**4 + 2*u - 1/2*u**2. Determine -d(h) + n(h).
2*h**2 - h
Let v(p) = -p - 1. Let d(n) = 16*n + 6. What is -2*d(y) - 14*v(y)?
-18*y + 2
Let o(n) = -7*n + 2. Let k(v) = -20*v + 5. Give -4*k(w) + 11*o(w).
3*w + 2
Let o(n) = 4*n + 11. Let i(g) = 1. Give -66*i(k) + 6*o(k).
24*k
Let y(a) = 6*a**2 - 3*a - 5. Let u = -18 + 26. Let o(q) = q**2 - 8*q + 5. Let b be o(u). Let h(k) = 7*k**2 - 4*k - 6. Determine b*h(d) - 6*y(d).
-d**2 - 2*d
Let h(m) = -9*m + 2. Let o(j) = j - 1. Give 3*h(y) + 6*o(y).
-21*y
Let w(k) = -2*k. Let t(i) = -i - 1. Determine 5*t(z) - 4*w(z).
3*z - 5
Let l(m) = 2*m**3 - 4*m**2 - 4. Let p = 10 + -1. Let z(k) = 5*k**3 - 9*k**2 - 9. Give p*l(x) - 4*z(x).
-2*x**3
Let x(l) = -4*l - 3. Let j = 6 + -1. Let n(c) = -9*c - 7. Determine j*x(s) - 2*n(s).
-2*s - 1
Let j(k) = -2*k**3 + 2*k**2 + 4*k + 5. Suppose -3*w = -w - 4. Suppose 3*p - p = -w. Let z = 6 + -10. Let a(q) = -q - 1. Determine p*j(t) + z*a(t).
2*t**3 - 2*t**2 - 1
Let y(g) = -4*g + 5. Let v(t) = 3*t - 3. Let p(l) = -3*v(l) - 2*y(l). Let k(m) = m**2 - m - 1. Give -3*k(h) + 3*p(h).
-3*h**2
Let c(r) = -3*r**2 + 8*r + 8. Let t(x) = 7*x**2 - 17*x - 17. Determine 5*c(d) + 2*t(d).
-d**2 + 6*d + 6
Let t(z) = -9*z - 1. Let a(p) = -p. Calculate -5*a(j) + t(j).
-4*j - 1
Let m(h) = -9*h**3 + 9*h**2 - h. Let y(p) = 13*p**3 - 14*p**2 + 2*p. What is -8*m(t) - 5*y(t)?
7*t**3 - 2*t**2 - 2*t
Suppose 0 = 12*b - 7*b - 25. Suppose -2*m = 10 + 2. Let n(r) = 0*r**3 - 5*r + 2 - 7 + 2*r**3. Let q(l) = 2*l**3 - 6*l - 6. What is b*q(a) + m*n(a)?
-2*a**3
Let r(q) = 34*q + 3. Let t(g) = -7141*g - 629. Calculate -1258*r(w) - 6*t(w).
74*w
Let t(r) = -2*r + 5. Let v(y) = -4*y**3. Let i be v(1). Let m(k) = -4*k + 11. Determine i*m(p) + 9*t(p).
-2*p + 1
Let o(y) = -y + 4. Let a(v) be the third derivative of v**4/8 - 7*v**3/6 + 3*v**2 + 1. What is -3*a(p) - 5*o(p)?
-4*p + 1
Let l(x) = -10*x**2 - 12*x - 12. Let t(s) = -s**2 - s - 1. Let j = -23 - -50. Let v = 15 - j. Calculate v*t(r) + l(r).
2*r**2
Let a(d) = -8*d**2 - 11*d + 8. Let s(t) = 3*t**2 + 4*t - 3. Let x(k) = 2*k - 2. Let m be x(7). Let n = -23 + m. What is n*s(c) - 4*a(c)?
-c**2 + 1
Let r(d) = -d**3 - d**2 - 3*d + 2. Let y(t) = t**2 + 2*t - 2. What is -2*r(h) - 3*y(h)?
2*h**3 - h**2 + 2
Let n be -7*(-8)/112*-6. Let a = 4 - 1. Let l(p) = p - 2 - 2*p + a. Let g(c) = c**3 - 3*c + 2. Determine n*l(j) + g(j).
j**3 - 1
Let c(t) = 8*t**3 + 8*t**2 + 7*t. Let b(y) = -2 - y - y**3 + 5*y**2 + 2 - 6*y**2. Determine 6*b(d) + c(d).
2*d**3 + 2*d**2 + d
Let s(m) = 2*m + 2. Let t = 12 - 8. Suppose -2*i + 5*g = -14, i - 2 = -2*g - t. Let y(h) = i + 3*h - h + 0. What is -3*s(q) + 2*y(q)?
-2*q - 2
Let v(u) = -52*u - 2. Let m(g) = g. Give -3*m(d) + v(d).
-55*d - 2
Let b(p) = -3*p**2 + 6*p + 4. Let a(n) = 7*n**2 - 13*n - 7. Determine -4*a(r) - 9*b(r).
-r**2 - 2*r - 8
Let y(d) = -4 + 3 - 3*d**3 + 2*d**3. Suppose -6*m = 5*o - 9*m - 15, -2*o + 27 = 3*m. Let p(k) = 7*k**3 - 2*k + 6. Determine o*y(i) + p(i).
i**3 - 2*i
Let b(c) = -5*c**3 - 4*c**2 + c + 3. Let k(g) = 3*g**3 + 2*g**2 - g - 2. Give 4*b(d) + 7*k(d).
d**3 - 2*d**2 - 3*d - 2
Let m(y) = 2*y**2 - y + 6. Let l(h) = h - 1. Give -3*l(b) - m(b).
-2*b**2 - 2*b - 3
Let p(d) = -3*d**3 - 4*d + 2. Let s(i) = -4*i**3 - i**2 - 5*i + 3. Let f(n) = 3*p(n) - 2*s(n). Let k(h) = -h**3 + 2*h**2 - 3*h. Calculate -4*f(z) + 3*k(z).
z**3 - 2*z**2 - z
Let y(c) be the second derivative of 1/2*c**2 - 1/4*c**4 + 5*c + 1/3*c**3 + 0. Let k(h) = -h**2 + h. Determine -2*k(q) + y(q).
-q**2 + 1
Let v(h) = -h**3 - 5*h**2 + 2*h - 2. Let t(k) = k**3 - k**2 - k + 1. Let s(o) = -2*t(o) - v(o). Let l(f) = -f**3 + 4*f**2. Determine -7*l(j) + 4*s(j).
3*j**3
Let q(r) = -1 - 3 + 7 - 2. Let t = -2 - -5. Let z = t - 2. Let l(g) = -2*g + 2. What is z*l(h) - 4*q(h)?
-2*h - 2
Let y(a) = -a - 13. Let h be y(-20). Let q(g) = -2*g + 6. Let l(x) = -2*x + 5. Determine h*l(d) - 6*q(d).
-2*d - 1
Let t(c) = 15*c - 3. Let a(s) = -31*s + 6. Calculate -2*a(x) - 5*t(x).
-13*x + 3
Let j(g) = 4*g + 3. Let t(o) be the third derivative of o**4/8 + o**3/2 + 27*o**2. What is 2*j(m) - 3*t(m)?
-m - 3
Let k(g) = -10*g**2 + g. Let z(l) = -7*l**2 + l. Suppose 4*r + 5*x = 30, -2*r + 14 = 2*x - 0*x