- 1
Let k(m) = 3*m**2 + 11*m - 5. Let r(c) = -9*c**2 - 32*c + 14. Determine 17*k(h) + 6*r(h).
-3*h**2 - 5*h - 1
Let g(v) be the first derivative of v**2 - 6*v - 1. Suppose -6*m - 24 = -2*m. Let w(y) be the first derivative of -y**2 + 7*y - 2. Give m*g(i) - 5*w(i).
-2*i + 1
Let w(y) = -4*y**2 + 7*y - 3. Let o(x) = 2*x**2 - 4*x + 2. Calculate -5*o(k) - 3*w(k).
2*k**2 - k - 1
Let p(h) = h**3 - h**2 + 1. Let u(a) = 4*a**3 - 2*a**2 + 2. Suppose -2*f - 4*q - 4 = 0, -3*f = -8*f - 3*q - 10. Determine f*p(d) + u(d).
2*d**3
Let c(t) = -7*t - 3 + 5*t + 4. Let o(z) = -3*z + 2. Let v(f) = 4*c(f) - 3*o(f). Let a(y) = 2*y - 4. Give 6*a(k) - 13*v(k).
-k + 2
Let r(y) = y**2 - 2*y**2 + y**3 + 5 - 4*y**2 - 5*y. Let w(o) = 4*o**3 - 24*o**2 - 24*o + 24. Give 24*r(m) - 5*w(m).
4*m**3
Let l = -21 - -11. Let u(n) = -n + 4. Suppose o + 14 = 4*a, -5*a + 4 = -5*o - 6. Let m(h) = 1. Give l*m(t) + o*u(t).
-2*t - 2
Let l(w) = -2*w - 1. Let g be l(-7). Suppose g + 5 = -c. Let b = 1 - 3. Let r(h) = h. Let z(y) = -8*y. What is b*z(q) + c*r(q)?
-2*q
Let w = 5 - -3. Let t(r) = -2*r + 3 + 5*r**2 - 11 - 6*r. Let o(l) = -9 + 2*l**2 - l + 6 + 0*l - 2*l. Determine w*o(u) - 3*t(u).
u**2
Let c(a) = 3*a - 3 + 0*a + 0. Let s(i) = 1. What is c(w) + 3*s(w)?
3*w
Let j(b) = b**2 - b - 1. Let c(t) be the second derivative of 3*t + 0 - 5/6*t**3 + 5/12*t**4 - 5/2*t**2 - 1/20*t**5. Determine -c(v) + 5*j(v).
v**3
Let f(b) = 2*b + 7. Let u(d) = -8*d - 29. What is 9*f(p) + 2*u(p)?
2*p + 5
Let g(n) = -2*n**2 - 7*n - 5. Suppose 3*c + 2 = 17. Let x(v) be the second derivative of -v**4/6 - v**3 - 2*v**2 - 11*v. Determine c*g(i) - 6*x(i).
2*i**2 + i - 1
Let j(d) = -4*d + 7. Let v(n) = -n + 2. Let s = -105 + 112. What is s*v(g) - 2*j(g)?
g
Suppose 0 = -0*y - 2*y + 8. Suppose -y*a + 32 - 4 = 0. Suppose a*x - 4*x = 6. Let l(f) = 3*f - 3. Let j(m) = 4*m - 4. Give x*j(h) - 3*l(h).
-h + 1
Let y(o) = -2*o + 1. Let h be y(-1). Let x(k) = -9*k**3 + 6*k**2 + 5*k + 5. Let b(w) = 5*w**3 - 3*w**2 - 3*w - 3. Determine h*x(u) + 5*b(u).
-2*u**3 + 3*u**2
Let v(i) = 1. Let p(z) = -2*z - 3. Determine -p(o) - 3*v(o).
2*o
Let d(c) = c. Let w be (36/27)/((-2)/(-3)). Suppose -20 = 3*g - w. Let f(u) = u**2 - 4*u. Determine g*d(m) - 2*f(m).
-2*m**2 + 2*m
Let x = 37 + -51. Let i(r) = -2*r. Let a(u) = 3*u + 0*u - 13*u. Calculate x*i(o) + 3*a(o).
-2*o
Let x(t) = -10*t**3 + 1. Let i(g) = -19*g**3 + 3. Determine 3*i(u) - 7*x(u).
13*u**3 + 2
Let p(d) = -d + 3. Let r be p(7). Let o(c) = -c - 1. Let t(j) be the second derivative of j**4/4 + 2*j**3/3 + 2*j**2 + 11*j. Determine r*o(z) - t(z).
-3*z**2
Let o(q) = -q - 5. Let m(a) = 1. Determine 5*m(l) + o(l).
-l
Let i(g) be the third derivative of -g**3/6 - 3*g**2. Let k(s) = -s - 3. Let f be k(-6). Let z be 1 - (-2 + -2 + f). Let m(w) = -w - 6. Give z*m(p) - 11*i(p).
-2*p - 1
Let i(j) = 17*j**3 - 11*j**2 + 9. Let p = -9 + -4. Suppose 7*c - 8 = 3*c. Let t(f) = -5*f**2 + 9*f**3 + 2 + c*f**3 - 3*f**3 + 2. Calculate p*t(r) + 6*i(r).
-2*r**3 - r**2 + 2
Let b be ((-57)/76)/(1/(-4)). Let l(y) = 1. Let n(t) = t - 7. Determine b*n(m) + 21*l(m).
3*m
Let m be (-117)/36 + (-1)/(-4). Let c(d) = -4*d. Let t(a) = 4*a. What is m*t(b) - 4*c(b)?
4*b
Let f(n) = -n**2 + n - 1. Suppose 1 = 4*v - 2*l - 3, -5*l = -10. Let g(j) = -5*j**2 + 2*j. Determine v*f(s) - g(s).
3*s**2 - 2
Let a(n) = 11*n**3 + 4*n**2 + 9*n - 7. Let b(k) = -5*k**3 - 2*k**2 - 4*k + 3. What is 3*a(i) + 7*b(i)?
-2*i**3 - 2*i**2 - i
Let c(f) = 5*f**2 + 8*f + 2. Let n(d) = 4*d**2 + 7*d + 3. Calculate -3*c(m) + 4*n(m).
m**2 + 4*m + 6
Let i(t) = -t**2 + 2. Suppose -d + 3*d - 8 = n, -n = 2*d. Let l(b) be the first derivative of 2*b**3/3 - 3*b + 2. What is d*l(o) + 3*i(o)?
o**2
Let j(t) = t**3 - 27*t**2 - t + 5. Let p(v) = 14*v**2 + v - 2. Let a(h) = -6*j(h) - 11*p(h). Let x(b) = 4*b**3 - 5*b**2 + 3*b + 5. Determine -5*a(w) - 8*x(w).
-2*w**3 + w
Let i(h) = -3*h**2 + 20*h - 2. Let q(y) = y**2 - y + 1. Calculate -i(o) - 2*q(o).
o**2 - 18*o
Suppose 6*z = 3*z. Suppose -4*q + 22 = 2*p - z, 3*q = p + 4. Let f(i) = -i. Let h(b) = -4*b - 2. What is p*f(o) - h(o)?
-o + 2
Let v(d) = d + 6. Let q(l) = 1. Let g be (2 - 1) + (1 - (1 - 0)). What is g*v(r) - 6*q(r)?
r
Let z(j) = -1. Let q = -5 - -6. Let y(f) = -2*f - q + 3 + f + 3. What is -y(a) - 3*z(a)?
a - 2
Let g(f) = -f**3 - f**2 + f - 1. Let p(u) = -108*u**3 - 135*u**2 + 135*u - 135. Calculate -135*g(j) + p(j).
27*j**3
Suppose -8 = -4*r - 0*r. Let i(k) = -2 - k - 1 + r. Let w(x) = -x - 3. What is -2*i(c) + w(c)?
c - 1
Let q(h) = h**2 - 1. Let u(i) = 3. Suppose 5*g = r + 14, 4*g - 2*r - 15 = 1. Suppose g*k = 7*k + 5. Give k*u(n) - 3*q(n).
-3*n**2
Let b(w) = -3*w + 1. Let n(p) = 16*p - 6. Let d(o) = 11*b(o) + 2*n(o). Let z(a) = -10*a + 3 + 4 + 11*a - 2. Give -3*d(j) - z(j).
2*j - 2
Let c(m) = -4*m + 1. Suppose -2 = 2*y + w + 6, -4*y = -4*w - 8. Let k(r) be the first derivative of 9*r**2/2 - 2*r - 10. Determine y*k(x) - 5*c(x).
2*x - 1
Suppose -5*w - w = -12. Let y(k) be the second derivative of -k**4/12 - k**2/2 - k. Let r(n) = -2*n**2 - 1. Determine w*r(m) - 2*y(m).
-2*m**2
Let y(x) = x**2 - x - 1. Let o(j) = 3*j**2 - 5*j - 5. Let h = 21 - 16. What is h*y(c) - o(c)?
2*c**2
Let z(g) = 12*g**2 + 5*g + 15. Let c(s) = 18*s**2 + 7*s + 22. Let p(k) = -5*c(k) + 7*z(k). Let l(a) = -5*a**2 - 4. Calculate -5*l(t) + 4*p(t).
t**2
Let p(r) = 2*r**3 - 4*r**2 - 3*r. Let w be (-1 + 3)/((-2)/(-8)). Suppose d + d - v = -w, 0 = 5*v. Let c(n) = 3*n**3 - 5*n**2 - 4*n. Give d*p(y) + 3*c(y).
y**3 + y**2
Let r(y) = -31*y**3 - 5*y**2 - 5*y - 5. Let i(g) = g**2 + g + 1. Calculate 5*i(l) + r(l).
-31*l**3
Let v(h) = 21*h**2 + 2*h + 2. Let o(y) = -1387*y**2 - 133*y - 133. Give 2*o(j) + 133*v(j).
19*j**2
Let n(y) = -7*y**3 - 2*y - 2. Let w(j) = 27*j**3 + 9*j + 9. Determine 9*n(u) + 2*w(u).
-9*u**3
Let t(m) = 6*m**2 - 5*m + 6. Let f(y) = -4*y + 3*y**2 - 157 + 2*y**2 + 162. Determine -4*f(q) + 3*t(q).
-2*q**2 + q - 2
Let y(w) = -5*w**3 - 4*w**2 - 4*w - 4. Let u(q) = -30*q**3 - 25*q**2 - 25*q - 25. Give 4*u(p) - 25*y(p).
5*p**3
Let c(i) = -2*i**2 + 8*i - 5. Let t(h) = 23*h - 4 - 2*h**2 - 4*h**2 - 10. Let n = 71 + -114. Let a = -26 - n. What is a*c(l) - 6*t(l)?
2*l**2 - 2*l - 1
Let w(a) = -8*a - 8. Let t(n) = 3*n. Let m be t(3). Suppose -p = 2*r + m, 13 - 35 = 4*p + r. Let u(q) = -7*q - 7. Determine p*w(o) + 6*u(o).
-2*o - 2
Let t(o) = 2*o**2 - 2*o - 1. Let r(n) = -4*n**2 + 5*n + 3. Suppose -m + 1 = 3. Determine m*r(k) - 5*t(k).
-2*k**2 - 1
Let n(m) = -m**3 - 4*m**2 - 2*m. Let c(y) = -y**3 - 4*y**2 - 3*y. Suppose 4*x - 4*w - 8 = 0, -1 = 2*x - 4*x + 3*w. Calculate x*n(b) - 4*c(b).
-b**3 - 4*b**2 + 2*b
Let h(y) = -y - 2. Let d(l) = -l - 1. Suppose 18 = -6*q - 6. Give q*d(o) + 3*h(o).
o - 2
Let a(v) = -4*v**2 + 3*v + 5. Let j(k) = 5*k**2 - 4*k - 6. What is 4*a(b) + 3*j(b)?
-b**2 + 2
Let r(b) = -2*b - 4. Let m be (-26)/(-7) + ((-378)/49 - -8). Let c(f) be the second derivative of f**3/6 + 3*f**2/2 - f. Determine m*r(l) + 6*c(l).
-2*l + 2
Let m(f) = -5*f**2 - 6*f - 1. Let d(o) = o**2 - 6*o + 4. Let v be d(4). Let w(r) = 9*r**2 + 11*r + 2. What is v*w(l) - 7*m(l)?
-l**2 - 2*l - 1
Let x(y) = -3*y**3 - y**2. Let f(q) = -q**3. Let k = 6 - 5. Let u be (6/(-8))/(k/44). Let b be u/(-15) + (-4)/20. What is b*f(l) - x(l)?
l**3 + l**2
Let r(y) = 9*y + 2. Let k(w) = 13*w + 3. Let f(i) = -5*k(i) + 7*r(i). Let c(v) = 0*v + 2*v + 3*v + 1 - 3*v. Suppose -12 = -3*a + 3. Determine a*c(n) + 4*f(n).
2*n + 1
Let v(l) = 25*l - 3. Let y(i) = -425*i + 50. Calculate -50*v(n) - 3*y(n).
25*n
Let o(g) = -2*g**3 - 2*g - 5. Let n(q) be the first derivative of 3 + 0*q**3 + q**2 + 1/2*q**4 + 6*q. Calculate 5*n(l) + 6*o(l).
-2*l**3 - 2*l
Let o(z) = -5*z. Let f(d) = 31*d - 2. Suppose 10 = -4*q + 2. Let g be f(q). Let y be g/10 + 4/10. Let k(w) = 4*w. What is y*k(a) - 5*o(a)?
a
Let a(o) = -7*o + 13. Let i(q) = -15*q + 27. What is -13*a(d) + 6*i(d)?
d - 7
Let x(m) = 29*m + 4. Let s(z) = 14*z + 2. Calculate -7*s(u) + 3*x(u).
-11*u - 2
Let h(q) = -7*q - 8. Let r(i) = 11*i + 12. What is -8*h(z) - 5*r(z)?
z + 4
Let d(n) = -n - 7. Let y(x) = x + 8. Let c = 0 + 4. Let r be -1 + c/2 - -2. Suppose -r*k = -0*k - 18. Give k*d(o) + 5*y(o).
-o - 2
Let o(m) = m**3 + 1. Let g(s) = -32*s**3 - 24. What is -g(c) - 24*o(c)?
8*c**3
Let x(w) = 3*w + 3. Let j(m) = 4 - 1 - 3*m + 2 - 9. Give 2*j(v