- 5 = 0. Determine o*g(m) + 5*r(m).
m - 1
Let u(r) = r**3 + r**2 - 1. Let d(y) = -y - 2. Let v be d(-8). Let c(p) be the first derivative of p**4 + p**3 - 3*p - 1. Calculate v*u(j) - 2*c(j).
-2*j**3
Let k(t) = -5*t - 3. Let h(a) = 11*a + 12. Let n(l) = l**2 + 3*l. Let i be n(-4). Let w(x) = 11*x + 11. Let m(b) = i*h(b) - 5*w(b). Determine 7*k(p) - 3*m(p).
-2*p
Let m(o) = 2*o**2 + o - 3. Let s = -6 + 6. Suppose -5*j + j = s. Suppose -2*b - 2*b + 32 = j. Let p(t) = 5*t**2 + 2*t - 8. Determine b*m(l) - 3*p(l).
l**2 + 2*l
Let i(n) = -7*n**3 - 2*n**2 - 2. Let t(w) = -1 - 6*w**3 + 12*w**3 - 7*w**3. What is i(l) - 4*t(l)?
-3*l**3 - 2*l**2 + 2
Suppose -2*s = -4*n - 14, 0 = -s + n - 2 + 6. Let k(q) = -3*q + 8 - 8. Let v(r) = -2*r**2 + 2*r - 1. Let h be v(1). Let u(a) = -a. Calculate h*k(w) + s*u(w).
2*w
Let i(z) = -7*z**3 + 6*z**2 + 6*z. Let t(y) = -7*y**3 + 7*y**2 + 7*y. Give -7*i(n) + 6*t(n).
7*n**3
Suppose v - 5*h = 8 + 8, 3*v - 4*h - 4 = 0. Let c(r) = -3*r**2 + 7. Let d(o) = o**2 - 2. Give v*c(a) - 14*d(a).
-2*a**2
Let g(a) = a. Suppose j - 2 = -j. Let m(o) = 1 + j + o + o. Determine -3*g(t) + m(t).
-t + 2
Let n(t) = -2*t**2 + t - 2. Let d(r) = -3*r**2 + r - 2. Determine -4*d(i) + 5*n(i).
2*i**2 + i - 2
Let h(d) = -23*d. Let l(b) = b**2 + 70*b + 1. Give -7*h(a) - 2*l(a).
-2*a**2 + 21*a - 2
Suppose 0*t = -3*t + 54. Let h(c) = -c**3 + c**2 - c - 1. Let r be h(-1). Let q(p) = -p + 19. Let b(v) = -2. Calculate r*q(u) + t*b(u).
-2*u + 2
Let k(l) = 102*l - 98*l + 3 - 4. Let c(y) = y**2 - 5*y + 5. Let a be c(4). Let m = -6 + a. Let d(f) = 3*f - 1. What is m*k(h) + 6*d(h)?
-2*h - 1
Let w(g) = 9*g**2 - 5*g + 42. Let i(c) = -5*c**2 + 3*c - 21. Calculate -5*i(v) - 3*w(v).
-2*v**2 - 21
Let a(f) = -f**3 + 5*f**2 - 3*f - 5. Let t(z) = 3*z**2 - 2*z - 3. Give -3*a(y) + 5*t(y).
3*y**3 - y
Let r(h) = h + 4. Let x(c) be the first derivative of -c**2 - 11*c - 3. Determine -11*r(u) - 4*x(u).
-3*u
Let b(f) = -62*f**2 - 3*f. Let h(c) = 186*c**2 + 10*c. Determine 10*b(p) + 3*h(p).
-62*p**2
Let y(z) = 6*z**2 - 7*z - 9. Let a(d) = -5*d**2 + 6*d + 8. Determine 7*a(x) + 6*y(x).
x**2 + 2
Let b(d) = d**3 + d - 1. Let l = -183 - -181. Let k(p) = p**2 + 2*p - 2. Determine l*b(x) + k(x).
-2*x**3 + x**2
Suppose -3*r - 38 = g + 4*g, -2*r = g + 9. Let i(v) = -9*v + 7. Let h(o) = 4*o - 3. Calculate g*h(u) - 3*i(u).
-u
Let v(d) = -d**2 + d + 2. Suppose 0 = -3*f + 7 + 38. Suppose 4*z = 13 + f. Let o(r) = 4*r**2 - 3*r - 7. Give z*v(l) + 2*o(l).
l**2 + l
Let w(u) be the second derivative of -3*u**5/20 - 17*u**4/12 - 17*u**2/2 + 16*u. Let c(s) = -s**3 - 6*s**2 - 6. Calculate -17*c(m) + 6*w(m).
-m**3
Let f(i) = i**3 + 3*i**2 + 3. Let y(w) = -2*w**3 - 4*w**2 - 4. Give 4*f(r) + 3*y(r).
-2*r**3
Let s(u) = -u - 20. Let y(m) = -6*m - 98. Give -14*s(j) + 3*y(j).
-4*j - 14
Let p = 9 - 6. Let d = -13 + 16. Suppose -o + 15 = -2*o + 4*z, 5*z - 17 = d*o. Let b(q) = 4*q**2 + 3*q + 1. Let w(i) = -i**2 - i. Determine o*b(r) + p*w(r).
r**2 + 1
Let b(t) = -5*t + 14. Let d(x) = -3*x + 9. Let a(w) = 2*w + 4. Let f be a(-4). Let q be f/6 - 26/(-3). Determine q*d(u) - 5*b(u).
u + 2
Let l(g) = -4*g**2 - 3*g. Let m(i) = -3*i**2 - 4*i + 1. Calculate -3*l(h) + 2*m(h).
6*h**2 + h + 2
Let k(a) = 33*a**2 + 3. Let o(l) = -1. Calculate k(m) + 3*o(m).
33*m**2
Let t(f) be the first derivative of 3*f**2/2 - f + 1. Let q(s) be the second derivative of -s**3/3 + s**2/2 + 17*s. Determine 4*q(a) + 3*t(a).
a + 1
Let o(r) = -r**3 - 3*r**2 + 6*r - 9. Let m be o(-4). Let j(i) = -5*i + 2*i - 4*i + 6. Let k(p) = 20*p - 17. What is m*j(f) - 6*k(f)?
-f
Suppose -20 = -8*u + 4. Let y(n) = -2*n**2 - n + 3. Let r(w) = -w**2 + w + 1. Determine u*r(z) - y(z).
-z**2 + 4*z
Let p(v) = 2*v + 12. Let t be p(-5). Let o(i) = -t*i - i + 4*i + 7 - 4*i. Let d(y) = -8*y + 20. What is 5*d(j) - 14*o(j)?
2*j + 2
Let l(a) = -4*a**3 + 4. Suppose 0*q + 4*p - 3 = -q, 2*q - 2*p - 26 = 0. Let x = q - 8. Let n(h) = 7 - 13*h**3 - 2*h**x + 8. What is -22*l(c) + 6*n(c)?
-2*c**3 + 2
Let i(p) = p**2 - 5*p - 5. Let s(b) be the second derivative of 0 + 2*b**2 + 2/3*b**3 - 5*b - 1/12*b**4. What is 4*i(m) + 5*s(m)?
-m**2
Let o(v) = v**2 + v. Let k(w) = -3*w**2 - 2*w. Determine k(b) + 4*o(b).
b**2 + 2*b
Let l(i) = -3 - 9 - i + 0 + 10. Let v(t) = 2. Give -2*l(s) - 3*v(s).
2*s - 2
Let t(g) = 3*g. Let k(v) = -v + 1. Calculate -2*k(x) + t(x).
5*x - 2
Let f(j) = 3*j**3 - 2*j**2 + 2*j + 4. Let w(y) = 8*y**3 - 6*y**2 + 6*y + 11. What is 11*f(g) - 4*w(g)?
g**3 + 2*g**2 - 2*g
Let k(v) = v**2 + 8*v - 5 - 3*v - 4*v**2. Let a(f) = 2*f**2 + 6*f - 6. Let m(o) = -o + 1. Let y(i) = -a(i) - 10*m(i). Determine 4*k(x) - 5*y(x).
-2*x**2
Let m be 50/6 - (-1)/(-3). Let o(f) = -f - 1 - 1 - m*f. Let l(r) = -2 + 1 - 5*r + 0. Give -5*l(i) + 3*o(i).
-2*i - 1
Let c(j) = -9*j**2 - 5*j - 5. Let h(s) = 11*s + 0*s**2 - 7*s + 3*s**2 + 4 + 5*s**2. Give -4*c(n) - 5*h(n).
-4*n**2
Let j(n) = 7*n**2 - 49*n + 1. Let g(c) = 3*c**2 - 24*c. Give -5*g(b) + 2*j(b).
-b**2 + 22*b + 2
Let m(z) = -4*z - 3. Let v(k) = -k. What is -m(y) + 5*v(y)?
-y + 3
Let p(r) = -8*r**3 + 6*r**2 - 7*r - 4. Let k(v) = -7*v**3 + 5*v**2 - 6*v - 3. Give 7*k(t) - 6*p(t).
-t**3 - t**2 + 3
Let o(w) = 11*w**3 + 7*w**2 + 4*w. Let c(g) be the third derivative of -g**6/24 - g**5/20 - g**4/12 - 5*g**2. Determine 7*c(y) + 3*o(y).
-2*y**3 - 2*y
Let n(j) = 508 - 501 + 3*j - 7*j. Let f(d) = -4*d + 8. What is 6*f(z) - 7*n(z)?
4*z - 1
Let x(i) = -8*i - 2. Let l(m) = m. Let v(t) = 23*t + 17. Let w(j) = -11*j - 8. Let o(f) = -6*v(f) - 13*w(f). Let b(a) = 2*l(a) + o(a). What is -7*b(c) - 6*x(c)?
-c - 2
Let h(g) = 3 + 1 - 5*g - 2*g. Suppose -9*q - 4 = -10*q. Let t(r) = -8*r + 5. Determine q*t(m) - 5*h(m).
3*m
Suppose i - 3 = -0*i. Let u(w) = -2*w**3 + 5*w + 7. Let n(m) = m**3 - 3*m - 4. Suppose 4*x - 11 - 9 = 0. Determine i*u(a) + x*n(a).
-a**3 + 1
Let z(o) be the first derivative of o**2 - 2*o - 1. Let u be (-13 - -16)/(((-18)/(-28))/(-3)). Let t(x) = -6*x + 6. Determine u*z(n) - 5*t(n).
2*n - 2
Let y(c) be the first derivative of -c**2/2 + 27. Let m(r) = -7*r + 2. What is m(f) - 4*y(f)?
-3*f + 2
Let u(w) = 2 + 0 + 3*w - w. Let d(c) = 3*c - 4 + 1 + 3 + 2. Determine 4*d(r) - 5*u(r).
2*r - 2
Let m(z) = -3*z**2 - 7*z + 17. Let i(q) = 2*q**2 + 4*q - 8. Determine 7*i(j) + 4*m(j).
2*j**2 + 12
Let i(k) = 9 - k - k - 3 + 1. Let x be i(6). Let w(j) = -j**3 + 5*j**2 - 9. Let f(c) = -2*c**2 + 4. What is x*f(o) - 2*w(o)?
2*o**3 - 2
Let w(f) = 6*f**3 + 4*f + 4. Let o(h) = 7*h**3 + 5*h + 5. Let d(u) = 5*o(u) - 6*w(u). Let s(l) = l**3 - l**2 + l + 1. Give -d(v) + s(v).
2*v**3 - v**2
Let n(a) = -5*a**3 + 6*a**2 - 3*a. Let s(l) = l**3 + l**2 + l - 1. Let y(m) = -12*m**3 + m**2 - 10*m + 6. Let x(b) = -6*s(b) - y(b). Determine 4*n(g) + 3*x(g).
-2*g**3 + 3*g**2
Let i(p) = -35*p**3 - 6*p**2 + 2*p + 7. Let c(j) = -71*j**3 - 11*j**2 + 4*j + 13. Give 6*c(h) - 11*i(h).
-41*h**3 + 2*h + 1
Let m(v) = 28*v**2 - 15*v**2 + v**3 - 13*v**2 + 6. Let z(u) = 2*u**3 + 11. What is 11*m(d) - 6*z(d)?
-d**3
Let t(d) = -d**3 - 1. Let s(v) = -v**3 - 4*v**2 - v + 1. Determine -s(l) + 3*t(l).
-2*l**3 + 4*l**2 + l - 4
Let k(y) = -5*y + 6. Let g(s) = -6*s + 5. Calculate 5*g(r) - 4*k(r).
-10*r + 1
Let y(x) = -x - 1. Let p(q) = -71*q + 5. Give -p(k) - 5*y(k).
76*k
Let p = 148 - 146. Let m(w) = w**2 + 3. Let v(s) = -3*s**2 - s - 6. Give p*v(u) + 5*m(u).
-u**2 - 2*u + 3
Let c(n) = n - 5. Let g(y) = -2*y + 9. What is -11*c(d) - 6*g(d)?
d + 1
Let c(l) = 4*l. Let w(g) = -2*g. What is -2*c(f) - 5*w(f)?
2*f
Let s(i) = -5*i**2 - 8*i - 85. Let t(q) = q**2 + 2*q + 21. Calculate 2*s(w) + 9*t(w).
-w**2 + 2*w + 19
Let t(y) = -17*y**2 - 4*y - 9. Let w(u) = u**3 - 2*u**2 - 2*u - 5. Let k be w(3). Let q(m) = 4*m**2 + m + 2. Give k*t(r) - 9*q(r).
-2*r**2 - r
Let j(t) = t**2 - 2*t + 3. Let k(w) = -w**2 + w - 2. Suppose 3*h = 2*u - 5 - 15, 3*u + 4*h + 4 = 0. Determine u*k(d) + 3*j(d).
-d**2 - 2*d + 1
Let w = -1 - -2. Let z(k) = -k**3 + k**2 - 1. Let n(d) = -2*d**3 + 3*d**2 + 2*d - 4. Calculate w*n(t) - 4*z(t).
2*t**3 - t**2 + 2*t
Let q(d) = d - 5. Let k(y) be the second derivative of -y**3/3 + 7*y**2 - y. Suppose 0 = t + t + 6. Let l be -9*(1/t - 0). Determine l*k(v) + 8*q(v).
2*v + 2
Let t(c) = 4*c + 2. Suppose 0 = h + 2*p - 7, 6 = -3*h - p + 17. Let y be (h - -7) + -3 + -1. Let n(b) = -9*b - 4. Give y*n(d) + 13*t