3*t + 1
Let m(p) = 36*p**3 + 12*p**2 + 12*p. Let d(z) = z**2 + z. Determine -12*d(c) + m(c).
36*c**3
Let m(v) = -v - 2. Let s(o) = -4*o + 3. Let d be s(2). Let q(r) = -4*r + 5. Let i(a) = -5*a + 6. Let h(z) = d*i(z) + 6*q(z). Calculate 2*h(f) + m(f).
f - 2
Let i(m) = 2*m**3 + m**2 - 3*m + 1. Let f(u) be the third derivative of u**6/40 + u**5/60 - 5*u**4/24 + u**3/6 - 4*u**2. Give -3*f(a) + 5*i(a).
a**3 + 2*a**2 + 2
Let m(i) = -i. Let r(t) = 7*t**3 + 4*t. Give 4*m(d) + r(d).
7*d**3
Let a(p) = -10*p + 31. Let d(i) = 7*i - 21. What is -5*a(l) - 7*d(l)?
l - 8
Let d(q) = 12*q**2 + 5*q - 2. Let y(f) = f. Determine -d(b) + 6*y(b).
-12*b**2 + b + 2
Let o(b) = 7*b + 4. Let c(w) = w. Give c(v) - o(v).
-6*v - 4
Let a(k) = 3*k**2 + k - 3. Let d(p) = -7*p**2 - 2*p + 7. Let v(m) = 5*a(m) + 2*d(m). Let u(h) = -2*h**3 - 6*h**2 - 6*h + 6. What is -u(g) - 6*v(g)?
2*g**3
Let g(c) = 10*c - 1. Let j(v) = v + 1. What is -g(k) - j(k)?
-11*k
Suppose 3*u = 2*g - 2*u + 13, -5*g + 4*u - 24 = 0. Let n(r) = -3*r**2 - 2*r - 2. Let a(l) = -4*l**2 - 2*l - 3. What is g*a(d) + 5*n(d)?
d**2 - 2*d + 2
Let j(x) = 2*x + 0*x - x + x. Let g(z) = -z**2. Let u = 17 - 16. Calculate u*g(d) + j(d).
-d**2 + 2*d
Let m(f) be the third derivative of -f**5/60 - f**4/12 + f**3/6 - 6*f**2. Let q(z) = z - 1. Determine m(d) + 3*q(d).
-d**2 + d - 2
Let s(c) = 11*c**3 + 8*c**2 - 6. Let n(t) = -23*t**3 - 17*t**2 + 13. Give 6*n(k) + 13*s(k).
5*k**3 + 2*k**2
Let p(k) = -16*k**3 - 3*k**2 + 1. Let w(g) = g**3 + g**2. Calculate p(i) + 3*w(i).
-13*i**3 + 1
Suppose 0 = -3*v + 6*v + 9. Let d(u) = -5*u**2 + 3*u - 4. Let z(p) = 4*p**2 - 2*p + 3. Give v*z(k) - 2*d(k).
-2*k**2 - 1
Let u(d) = -d**3 - d. Let j(h) = h**3 - 4*h**2. Let y(n) = -j(n) - 5*u(n). Let o = -28 - -21. Let v(t) = -5*t**3 - 5*t**2 - 6*t. What is o*y(g) - 6*v(g)?
2*g**3 + 2*g**2 + g
Let c(d) = -d**3 + d**2 + 1. Let w(m) = 5*m**3 - 2*m**2 + m - 3. Suppose 0 = 8*y + 5 - 29. What is y*c(q) + w(q)?
2*q**3 + q**2 + q
Let q(p) = -p**3 + p**2 + p - 1. Let g be (-17)/15 - 16/(-120). Let k(c) = -3*c**3 + 2*c**2 - 2. Give g*k(f) + 2*q(f).
f**3 + 2*f
Let f(n) = 1 - 1 + 2*n. Let a(y) = y. Let k(v) = -2*v. Let t(m) = 4*a(m) + k(m). Let h be ((-4)/(-1))/(4/6). Determine h*t(z) - 5*f(z).
2*z
Let k(n) = -6*n + 5. Let i(c) be the second derivative of -7*c**4/24 + c**3 - 3*c**2/2 - c. Let b(l) be the first derivative of i(l). What is 4*b(h) - 5*k(h)?
2*h - 1
Let k(q) be the first derivative of -2*q**2 + 13*q + 1. Let i(x) be the second derivative of x**3/6 - 2*x**2 - 8*x. Give 7*i(t) + 2*k(t).
-t - 2
Let j(w) = -w**2 + 6*w - 3. Let h be j(3). Let c(g) = 8*g**3 - 2*g**2 - 6. Let f(q) = 7*q**3 - 2*q**2 - 5. What is h*f(d) - 5*c(d)?
2*d**3 - 2*d**2
Let h(m) = -m**3 - m. Let y(i) = 3*i**3 + 2*i**2 + 2*i. Give -4*h(n) - y(n).
n**3 - 2*n**2 + 2*n
Let o(x) = -8*x + 7. Suppose -13*w + 12 = -7*w. Let p(r) be the second derivative of -r**3/6 + r**2/2 - r. What is w*o(l) - 14*p(l)?
-2*l
Let q(s) = -5*s**3 + 5*s**2 + 5*s + 5. Let b(i) = i**3 + i**2 + i + 1. Calculate 5*b(n) - q(n).
10*n**3
Let c(b) = -b**3 - b - 1. Let f(w) = 22 + w**3 - 20 + 3*w - 2*w**3 - w. Calculate 2*c(l) + f(l).
-3*l**3
Suppose 2*c - p = 4, -4*c - 2*p + 8 = -3*p. Let n(j) = 1 + 0 + c. Let a(l) = l - 1. Calculate 3*a(h) + n(h).
3*h
Let q(y) = -y**2 + 3*y. Let r(h) = 4*h**2 - 14*h + 2*h**2 + 4*h**2 - 6*h**2. Calculate -14*q(n) - 3*r(n).
2*n**2
Let k(m) be the second derivative of m**4/12 + 6*m. Let t(b) = 5*b**2. Determine -11*k(c) + 2*t(c).
-c**2
Let s(w) be the third derivative of -7*w**4/24 + w**3/2 + 33*w**2 - 1. Let b(x) = x - 1. Calculate -4*b(v) - s(v).
3*v + 1
Let d(r) = 10*r - 7. Let w(h) = -11*h + 6. What is -6*d(a) - 7*w(a)?
17*a
Let g(d) = -2*d + 2. Let m(p) = -p + 1. Let n be -5*(3 - (-12)/(-5)). Let i(w) = n*m(w) + 2*g(w). Let l(y) = -2*y**2 - 5*y + 5. Calculate -5*i(z) + l(z).
-2*z**2
Let s be 2/(-2)*(-2 + 0). Let x(q) = 5*q**3 - s*q**3 - 3 + 0*q**3. Let v(n) = -7*n**3 + 7. Suppose b - 6 + 1 = 0. What is b*x(i) + 2*v(i)?
i**3 - 1
Let j(u) = 9*u**3 + 2*u**2 - 2*u - 1. Let z(h) = -h**3 - h**2 + h + 1. Calculate j(p) + 2*z(p).
7*p**3 + 1
Let c(m) = m - 3. Let d(y) = -4*y - 13. Let f(h) = -3*h - 12. Let p(t) = -5*d(t) + 6*f(t). What is -5*c(g) + 2*p(g)?
-g + 1
Let o be (-4)/(-14) + (-51)/7. Let s(l) = -3*l - 7. Let x(p) = -1 + 2*p - 1 - 2*p - p. What is o*x(q) + 2*s(q)?
q
Let q(b) = -b**2 - 2*b - 8. Let r(t) = 2*t**2 + 5*t + 16. Give -5*q(a) - 2*r(a).
a**2 + 8
Let z(h) = -4*h + 2. Let b(s) = -9*s + 3. Let m(t) = -t**3 - 16*t**2 - 26*t + 26. Let y be m(-14). What is y*b(c) + 5*z(c)?
-2*c + 4
Let w(i) = -2*i**2 + 30*i**3 - 29*i**3 - i + 3*i**2 - 5*i. Let k(n) = 2*n**3 + 2*n**2 - 13*n. Determine 6*k(l) - 13*w(l).
-l**3 - l**2
Let d(b) = -13*b**3 - 15*b**2 - 11*b + 7. Let m = 2 + 3. Let q(w) = -2 + 7*w**3 - m + 3 + 8*w**2 + 14*w - 8*w. Determine 6*d(r) + 11*q(r).
-r**3 - 2*r**2 - 2
Let r be 4 - 1/((-2)/(-4)). Let u(n) = -r*n**3 + 2*n**2 + 115*n - 109*n + 4*n**2. Let x(o) = 2*o**3 - 5*o**2 - 5*o. Determine 5*u(g) + 6*x(g).
2*g**3
Let j(p) be the first derivative of -3/2*p**2 + 1 - 2*p. Let n(a) = 24*a + 20. Let l(t) = -5*t - 4. Let r(i) = 11*l(i) + 2*n(i). What is 5*j(q) - 2*r(q)?
-q - 2
Let p(b) = b - 1. Let h(z) = -5*z - 2. What is h(c) - 2*p(c)?
-7*c
Let o(x) = -6*x**2 + 13*x + 3. Let d(s) = s**2 - 1. What is 4*d(b) + o(b)?
-2*b**2 + 13*b - 1
Let c(a) = -a**3 + a**2 - 1. Let y(d) = -41*d**3 - 6*d**2 + 6. Determine -6*c(i) - y(i).
47*i**3
Let i(n) be the second derivative of -3*n**4/4 - 4*n**3/3 - 4*n**2 - 3*n. Let w(o) = -3*o**2 - 3*o - 3. Determine 3*i(m) - 8*w(m).
-3*m**2
Let x(q) = -8*q**3 - 96*q**2 + 10*q. Let t(h) = h**3 - h. What is 10*t(d) + x(d)?
2*d**3 - 96*d**2
Suppose 35 = -7*j - 28. Let m(a) = 3*a**2 - 4*a - 4. Let g(y) = -y**2 + y + 1. Give j*g(b) - 2*m(b).
3*b**2 - b - 1
Let n(i) = -i**3 + i**2 - 1. Let d be (-2)/((-2)/1) - 0. Let v(q) = -2*q**3 - 2*q**2 - 2*q + 2. What is d*v(m) + 2*n(m)?
-4*m**3 - 2*m
Let p(n) = -9*n**3 - 7*n - 2. Let r be ((-6)/21)/(3/(-63)). Let x(o) = 5*o**3 + 4*o + 1. What is r*p(f) + 11*x(f)?
f**3 + 2*f - 1
Let s(d) = -3*d + 3. Let v(y) = y**3 + 6*y**2 - y + 3. Let q be v(-5). Suppose q + 0 = -3*z. Let j(l) = 2 - 2 + 8 - 8*l. Determine z*s(i) + 4*j(i).
i - 1
Let j(r) = r**2 + 1. Let t(o) = -3*o**2 - 3. Calculate -17*j(a) - 6*t(a).
a**2 + 1
Let y(j) = 41*j**2 - 2*j - 2. Let f(p) = 40*p**2 - p - 2. Calculate -4*f(a) + 3*y(a).
-37*a**2 - 2*a + 2
Let y(w) = 0 - 2*w - 3*w - 6. Suppose d - 12 + 1 = 0. Let c(o) = 2*o + 2. Determine d*c(p) + 4*y(p).
2*p - 2
Let q(v) = 41*v**3 + 3*v**2 + 3*v. Let x(n) = 286*n**3 + 22*n**2 + 22*n. Give -22*q(l) + 3*x(l).
-44*l**3
Let o(y) = -5*y + 3. Let q(s) = 6*s - 4. Give -5*o(h) - 4*q(h).
h + 1
Let h(d) = -2*d**2 - 4*d + 25. Let t(s) = 5*s**2 + 9*s - 49. Give -7*h(f) - 3*t(f).
-f**2 + f - 28
Let k(w) = -w - 1. Let t(i) = -3*i + 9. Determine 4*k(n) - t(n).
-n - 13
Let m(t) = 253 - 508 + 252. Let d(b) = b + 7. Suppose -3*i = 2*a + 11, -7*i - 20 = -2*i + 3*a. What is i*m(c) - 3*d(c)?
-3*c
Let t(a) = a**3 - 6*a**2 - a + 3. Let x be t(6). Let f(j) = j**3 + j + 1. Let y(q) = q**3 + 1. Calculate x*y(h) + f(h).
-2*h**3 + h - 2
Let f(d) be the second derivative of d**4/3 - d**3 - 5*d**2/2 + 2*d. Let b be (-4)/(-20) + 29/5. Let w(m) = 11*m**2 - 17*m - 14. Give b*w(r) - 17*f(r).
-2*r**2 + 1
Let j be (-2)/((3 + -1)/(-2)). Let t be 30/8 + 2/8. Let y(p) = -j - 6*p**3 + t + 3 - 5*p**2. Let g(z) = -z**3 - z**2 + 1. Give 5*g(r) - y(r).
r**3
Let u(v) = -6*v**2 - 6*v. Let g be (1 - 18)/(-8 + 7). Let k(c) = 2*c**2 + 2*c. What is g*k(d) + 6*u(d)?
-2*d**2 - 2*d
Let i = -77 + 74. Let r(g) = -2*g**3 + 3*g - 3. Let f(o) = -25*o**3 + 40*o - 40. What is i*f(m) + 40*r(m)?
-5*m**3
Let g(n) = -8*n**2 + 23*n + 6. Let z(m) = 4*m**2 - 12*m - 3. Give 4*g(c) + 7*z(c).
-4*c**2 + 8*c + 3
Let v(y) = -5*y**3 - 3*y**2 + 6*y - 2. Let b(w) = -6*w**3 - 4*w**2 + 7*w - 2. What is 3*b(f) - 4*v(f)?
2*f**3 - 3*f + 2
Let u(s) = -s - 1. Let d(t) = 2*t**2 - 10*t - 10. Suppose -11 - 3 = -7*y. Calculate y*d(h) - 20*u(h).
4*h**2
Let t(f) = 5*f + 2. Let c(w) = 9*w + 5. Let i(o) = -7*o - 4. Let s(d) = -4*c(d) - 5*i(d). What is -6*s(r) - t(r)?
r - 2
Let t(j) = -8*j**3 - 2*j**2 + 2. Let x(f) = 17*f**3 + 5*f**2 - 5. Give 10*t(k) + 4*x(k).
-12*k**3
Let g(j) = 1. Let i(y) = y. Let c