+ 2*t**2
Let f(t) = 11*t**3 - 7*t**2 - 21*t. Let w(d) = 6*d**3 - 4*d**2 - 11*d. What is -4*f(z) + 7*w(z)?
-2*z**3 + 7*z
Let k(r) = 5*r - 3. Let w(z) be the second derivative of 2*z**3/3 - z**2 + z. Calculate 2*k(d) - 3*w(d).
-2*d
Let k(l) = -3*l**2 - 3*l - 3. Let p be (10/3)/(24/36). Let n(t) = -6*t**2 - 5*t - 5. Calculate p*k(y) - 3*n(y).
3*y**2
Let w(d) = 34*d + 3. Let f(u) = -1767*u - 155. What is 3*f(k) + 155*w(k)?
-31*k
Let y(q) = -2 + q**3 - 2 - 1 - 3*q**2 + 3. Let g be y(3). Let x(d) = 1. Let p(w) = w - 5. Give g*p(r) - 11*x(r).
-2*r - 1
Let k(q) = 3*q + 5. Let m(i) = 4*i - 2 + 0*i - i. Let g(u) = -u. Let f(z) = -4*g(z) - m(z). Let h = -213 - -224. What is h*f(c) - 4*k(c)?
-c + 2
Let l(x) = -5*x**2 - x - 4. Let v(g) be the first derivative of -3*g**3 - g**2/2 - 7*g + 47. What is 5*l(d) - 3*v(d)?
2*d**2 - 2*d + 1
Let m(x) = x**2 + 5*x - 20. Let i(z) = -z + 4. Calculate -11*i(g) - 2*m(g).
-2*g**2 + g - 4
Let h(f) = f**2 + f. Let d(y) = 5*y**2 - 3*y - 1. Determine -d(k) + 2*h(k).
-3*k**2 + 5*k + 1
Let n(i) = -17*i + 5. Let x = -8 - -10. Let j(h) = 4*h - 1. Determine x*n(p) + 9*j(p).
2*p + 1
Suppose -4 = 3*s + s - 4*q, 0 = -2*s - 3*q - 7. Let g(d) = d + 2. Let o(x) = -3. Calculate s*o(z) - 3*g(z).
-3*z
Let l(j) = -2 - 5*j**2 - 4*j - 2 + j**2 + 6*j**2. Let y(f) = f**2 - 3*f - 3. Calculate -3*l(s) + 4*y(s).
-2*s**2
Let n(s) be the second derivative of -s**3/6 - 2*s. Let o be 32/18 - (-2)/9. Let g(d) = -2*d**o + 0*d**2 + d + d**2. Give g(m) + n(m).
-m**2
Let o(u) = 11*u**2 + u - 7 - 5*u**2 + 5*u + 4*u**3. Let y(x) = 3*x**3 + 5*x**2 + 5*x - 6. Give -5*o(d) + 6*y(d).
-2*d**3 - 1
Let u(n) = -n**2 + n - 1. Let h(g) be the second derivative of -7*g**4/12 + 4*g**3/3 - 7*g**2/2 - 23*g. What is h(y) - 6*u(y)?
-y**2 + 2*y - 1
Let h(q) = -3*q + 2. Let p(b) = 4*b - 1. Let u be -6 + 5 + 4 + 0. Determine u*h(a) + 2*p(a).
-a + 4
Let w = 1 + 1. Let t(l) be the second derivative of -1/12*l**4 - 2*l + l**2 + 0*l**3 + 0. Let y(s) = s**2 - 1. What is w*y(z) + t(z)?
z**2
Let l(f) = -7*f + 2. Let h(d) = -8*d + 2. What is 4*h(z) - 5*l(z)?
3*z - 2
Let d(t) = -2*t + 13. Let y(l) = l - 6. What is -4*d(a) - 7*y(a)?
a - 10
Let v(h) = 4*h**2 + 10*h + 6. Let r(a) = -a**2 - 3*a - 2. Let u be (10/(-3))/((-1)/(-3)). Let p(f) = -f**3 + 8*f**2 - 3. Let l be p(8). Give l*v(c) + u*r(c).
-2*c**2 + 2
Let z(j) = -j. Let h(s) = -5*s**2 + 3*s + 3. Give -h(v) - 3*z(v).
5*v**2 - 3
Let l(s) = -s**2 + 4*s + 4. Suppose -u = -6*u + 20. Let v(r) = -2*r - 5*r + 2*r**2 + 4*r - u*r - 7. Determine 10*l(n) + 6*v(n).
2*n**2 - 2*n - 2
Let r(o) = -8*o**2 + 5*o - 8. Let v(q) = 52*q**2 - 32*q + 52. Determine 32*r(n) + 5*v(n).
4*n**2 + 4
Let h(f) = 8*f**2 + 2*f + 7. Let x(w) = -w**2 - 1. Let c = -1 + -3. Let b = c - -3. Let q(d) = -2*d + 2. Let y be q(4). What is b*h(p) + y*x(p)?
-2*p**2 - 2*p - 1
Let m(q) = q**2 - 4. Suppose -h + 24 = 5*y, -y + 0*h = 3*h - 2. Suppose -3*s + 1 = -y. Let g(c) = 1. What is s*g(v) + m(v)?
v**2 - 2
Let c = 25 + -26. Let y(x) = 3*x - 5. Let q(g) = 1. Give c*y(f) - 4*q(f).
-3*f + 1
Let p = 0 + 4. Let b(x) = -21*x**2 + x - 17. Let q(m) = 5*m**2 + 4. Let u(c) = -2*b(c) - 9*q(c). Let a(r) = -8*r**2 - 5*r - 5. Determine p*a(y) - 11*u(y).
y**2 + 2*y + 2
Let c(h) = -h**3 + 2*h - 2. Let m = 9 + -20. Let u(p) = 6*p**3 - 11*p + 11. Give m*c(f) - 2*u(f).
-f**3
Suppose 0*m = m - 3. Suppose -m*h - 1 = -4. Let l(f) = 1. Let a(s) = 2*s - 2. Determine h*a(w) + 2*l(w).
2*w
Let l(y) = -12*y - 10. Let m(x) = 11*x + 9. What is 5*l(r) + 6*m(r)?
6*r + 4
Let f be 7/(-2) + (-5)/(-10). Let x(c) be the third derivative of 0 + 0*c - c**2 - 1/24*c**4 + 0*c**3. Let d(h) = h**2 - 3*h. Give f*x(j) + d(j).
j**2
Let t(b) = 104*b**3 - 14*b - 24. Let u(a) = -21*a**3 + 3*a + 5. What is 3*t(n) + 14*u(n)?
18*n**3 - 2
Let t(h) = 6*h - 7. Let i(x) = x - 1. Let r(w) = -4*i(w) + t(w). Let o(b) = -b + 2. Suppose 5*u = 3*g + 2*g - 35, 3*u + 28 = 4*g. What is g*o(q) + 4*r(q)?
q + 2
Let g(q) = -4*q**3 + 4*q - 4. Let i(m) = 5*m**3 - 3*m + 3. Determine 6*g(v) + 8*i(v).
16*v**3
Let z(q) = -2*q - 2. Let l(r) = 2*r + 1. Let o(j) = -2*j - 1. Let m(a) = -4*l(a) - 3*o(a). Determine -3*m(h) + 2*z(h).
2*h - 1
Let b = -9 - -10. Let o(r) = -r**3. Let m(k) be the second derivative of k**5/5 + 15*k. Determine b*m(i) + 5*o(i).
-i**3
Let s(x) = 0*x + 4*x - 4*x**2 + 2*x**2 - 2. Let g(f) = -4*f**2 + 7*f - 3. Let t = -19 - -22. What is t*g(q) - 5*s(q)?
-2*q**2 + q + 1
Let b(d) = -41*d**3 + 2*d**2 + 2*d - 2. Let n(u) = -81*u**3 + 5*u**2 + 5*u - 5. Give -10*b(j) + 4*n(j).
86*j**3
Let w(v) = -13*v**3 - 2*v. Let y(i) = i**3 - i - 1. Let p be y(-2). Let q(r) = 9*r**3 + r. Determine p*q(d) - 5*w(d).
2*d**3 + 3*d
Let b(d) = 5*d + d + 5 - 4 - 3. Let z(l) = -13*l + 5. Calculate -5*b(f) - 2*z(f).
-4*f
Let z(q) = 5*q**2 - 8*q + 8. Let g(v) = -v**2 + 5*v. Let i be g(6). Let a(d) = -14*d**2 + 23*d - 23. Determine i*a(h) - 17*z(h).
-h**2 - 2*h + 2
Let z(d) = -9*d - 2. Let x(t) = -5*t - 1. Give 11*x(r) - 6*z(r).
-r + 1
Let l(x) = 5*x + 2. Let p(c) = 2*c**2 + c - 1. Let o be p(1). Let k(z) = -2 + 3 + 0 + 6*z + o. Give 3*k(r) - 4*l(r).
-2*r + 1
Let x(m) = 4*m - 8. Let y(p) = p. Calculate -x(d) + 3*y(d).
-d + 8
Let t = 4 - 0. Let x(c) = -3*c + 7. Let k be x(t). Let y(l) = -4*l**3 + 5*l. Let f(h) = -3*h**3 + 4*h. Determine k*f(m) + 4*y(m).
-m**3
Let r(z) = 10*z + 3. Let o(b) = -11*b - 3. What is -5*o(h) - 6*r(h)?
-5*h - 3
Let r(s) = 1. Let x(m) = 2*m - 6. Let l = -11 + 16. Determine l*r(u) + x(u).
2*u - 1
Let j(x) = 3*x + 3*x - 2 - 5*x. Let d be 48/(-3) - (2 + 2). Let h = d + 21. Let f(y) = y. What is h*j(w) - 2*f(w)?
-w - 2
Let q(p) = -p**2 + p + 1. Let i(k) = 3*k**2 + 11*k. Determine i(r) + q(r).
2*r**2 + 12*r + 1
Let g(q) = 7*q - 4. Let z(u) = -13*u + 7. Calculate 11*g(b) + 6*z(b).
-b - 2
Let m(w) = w**3 - w**2 + w - 1. Let t(v) = 5*v**3 - 4*v**2 + 3*v - 4. Suppose -h - 2*i - 12 = 0, h - 6*h - i - 24 = 0. Determine h*m(n) + t(n).
n**3 - n
Suppose 3*s = 2*v - 13, 3*v - 3*s = -2*v + 19. Let t(b) = -v*b**3 + b**3 + 2*b**3. Let o(j) be the first derivative of 7*j**4/4 - 6. Give o(z) - 6*t(z).
z**3
Let x(c) = 6*c**2 - 5*c + 5. Let w be (3 + -1)/(1/2). Let f(g) = 14*g - 28*g + g**2 + 1 + 13*g. What is w*x(u) - 22*f(u)?
2*u**2 + 2*u - 2
Let a(d) = d - 9. Let b(y) = 63 - 28 - 38. What is -2*a(g) + 7*b(g)?
-2*g - 3
Let u(i) = 14*i**3 + 11*i**2 + 5*i + 17. Let d(y) = -5*y**3 - 4*y**2 - 2*y - 6. What is -11*d(o) - 4*u(o)?
-o**3 + 2*o - 2
Let g(h) = 7*h**2 - 4*h. Let d(m) = 15*m**2 - 9*m. What is -4*d(c) + 9*g(c)?
3*c**2
Let h(w) = -5*w + 3. Let p(g) = -6*g + 4. Give -5*h(f) + 4*p(f).
f + 1
Let a(d) = -26*d + 8. Let m(v) = -9*v + 3. Calculate 4*a(i) - 11*m(i).
-5*i - 1
Suppose 0 = 2*v - 8 + 58. Let z = -19 - v. Let m(r) = 2*r**2 - r + 3. Let l(i) = 2*i**2 - i + 4. What is z*m(j) - 5*l(j)?
2*j**2 - j - 2
Let f(z) = z. Let r(l) = -2*l**2 - 6*l - 5. Determine -3*f(w) - r(w).
2*w**2 + 3*w + 5
Let w(x) = 3*x**3 + 4*x + 4. Let a(d) = -d**3 + 12*d**2 - d + 8. Let z be a(12). Let v(f) = f**3 + 1. Determine z*v(t) + w(t).
-t**3 + 4*t
Let u(b) be the second derivative of -7*b**4/12 - 7*b**3/6 + 7*b**2/2 - 7*b. Let o(t) = 8*t**2 + 8*t - 8. Calculate -6*o(l) - 7*u(l).
l**2 + l - 1
Let s(r) = 3. Let f(b) = -b + 4. Let q(l) = -3*f(l) + 4*s(l). Let u be (-4 + 2)*(2 - 0). Let p(g) = 4*g. Determine u*p(d) + 5*q(d).
-d
Let q(a) = 9*a**3 - 11*a**2 - 11. Let u(o) = 5*o**3 - 6*o**2 - 6. Let i = -8 - -14. Determine i*q(p) - 11*u(p).
-p**3
Let a be 0 + -2 + 8 + -1 + -3. Let w(s) = 2*s**2 - 2*s + 2. Let u(l) = l**3 - l**2 + l - 1. Determine a*u(v) + w(v).
2*v**3
Let f(u) = u**3 - 3*u - 4. Let m(n) = -5 + 6 + 2*n**2 - n**2 - 5*n. Let v be m(4). Let b(w) = -w**3 + w + 1. What is v*b(j) - f(j)?
2*j**3 + 1
Let j(h) = h**2 - 16*h + 18. Let a be j(15). Let t(w) = 2*w**3 + 5*w**2 - 9*w + 1. Let z(y) = y**3 + 3*y**2 - 5*y + 1. Calculate a*t(b) - 5*z(b).
b**3 - 2*b - 2
Let o(n) = -n**2 + 2*n - 3. Let d(f) = -f**2 + f + 2. Let w(y) = -5*y**2 + 5*y + 8. Let h(a) = 9*d(a) - 2*w(a). What is -3*h(p) - 2*o(p)?
-p**2 - p
Let n(u) = 5*u**3 - 2. Suppose 0 = -2*r - 5*h + 5 - 0, h + 22 = -5*r. Let g(x) = 6*x**3 - 2. Determine r*n(d) + 4*g(d).
-d**3 + 2
Let t(g) = -2*g**3 + 22*g**2 + 6*g + 16. Let s(c) = c**3 - c**2 - c. Let z(f) = 6*s(f) + t(f). Let w(u) = u**2 + 1. Give 16*w(o) - z(o).
-4*o**3
Let x(n