*i**2 - 1
Let n = -67 + 74. Let d(p) = -4*p + 7. Let j(f) = -3*f + 5. Determine n*j(t) - 5*d(t).
-t
Let n(g) = -3*g**3 + 6*g**2 + g + 4. Let q(u) = -4*u - 22. Let t be q(-7). Let i(c) = 5*c**3 - 11*c**2 - 2*c - 7. What is t*i(a) + 11*n(a)?
-3*a**3 - a + 2
Let i(l) = l**2 - 2*l + 8. Let h(w) = -w**2 + 2*w - 7. What is 5*h(p) + 4*i(p)?
-p**2 + 2*p - 3
Let s be -4*(-2 + 2/8). Let g(b) = 2*b**2 + 2*b. Let x(n) = n**2 + 3*n - 4. Let a be x(-5). Let j(k) = -2*k**2 - 2*k. Determine a*g(d) + s*j(d).
-2*d**2 - 2*d
Let s(l) = -l**2 - 3*l - 6. Let n(a) = -4 + 4 - 1. What is 6*n(g) - s(g)?
g**2 + 3*g
Suppose 2*j = -2*j + 32. Let l(q) = -2*q**2 + 3*q + 2. Suppose 3*o - 9 = 6*o. Let i(a) = -a + 2*a + 4*a**2 + 1 - 5*a**2. Calculate j*i(y) + o*l(y).
-2*y**2 - y + 2
Let g(r) = -3*r - 2. Suppose 27*k = 23*k - 12. Let y(s) = -4*s - 3. Determine k*g(c) + 2*y(c).
c
Let g(u) = -u**2 + 6*u + 3. Let l(f) = -f**2 - f - 1. Give g(s) + 4*l(s).
-5*s**2 + 2*s - 1
Let u(w) = -16*w. Let k(x) = x. Let r(c) = 22*k(c) + 2*u(c). Suppose 0*h + 2*h - 14 = 0. Let y(a) = 3*a. Calculate h*y(n) + 2*r(n).
n
Let x(s) = -15*s**2 + 19*s + 10. Let d(r) = -10*r**2 + 13*r + 7. Determine 7*d(t) - 5*x(t).
5*t**2 - 4*t - 1
Let w(x) = -7*x**3 + 153 + 2*x**3 + x - 158 - 7*x**2. Let v(o) = -4*o**3 - 6*o**2 + o - 4. Give -7*v(p) + 6*w(p).
-2*p**3 - p - 2
Let n(c) be the first derivative of c**4/2 - 2*c**3/3 - 3*c**2/2 - 3*c + 2. Let m(b) = 2*b**3 - b**3 + 8 + 5*b**2 - 7*b**3 + 8*b. What is 3*m(o) + 8*n(o)?
-2*o**3 - o**2
Let b = 2 + 3. Let j(w) = -6*w**3 + 3*w - w - b*w**2 + 5 + w + w. Let r(t) = 7*t**3 + 6*t**2 - 5*t - 6. What is -6*j(g) - 5*r(g)?
g**3 + g
Suppose -7*a - 44 = -5*a. Let c(r) = 3*r + 1. Let h(l) be the second derivative of 8*l**3/3 + 3*l**2 - l. Calculate a*c(y) + 4*h(y).
-2*y + 2
Let s(g) = 4*g + 6. Let m(c) = c. Give 2*m(q) - s(q).
-2*q - 6
Let i(l) = l - 1. Suppose -4*v + 28 = t, v + 0*t = 4*t + 7. Let c be v + -1 + -2 + -1. Let d(p) = p - 4. Determine c*i(a) - d(a).
2*a + 1
Let g(q) = 5*q**2 - 6*q - 6. Let m(l) = l**3 + 13*l**2 + 12*l - 13. Let k be m(-12). Let t(i) = 11*i**2 - 13*i - 13. What is k*g(n) + 6*t(n)?
n**2
Let f(o) = -o**3 - o**2. Let y be f(-1). Let b(g) = 4*g**3 - 2 - 3 + y + 5*g. Let h(q) = -3*q**3 - 4*q + 4. What is 4*b(p) + 5*h(p)?
p**3
Let l(c) = c + 3. Let k(y) = -3. Suppose 27*g - 9 = 30*g. Give g*l(a) - 3*k(a).
-3*a
Let p(g) = 3*g + 20. Let k(d) = -d - 7. Give -17*k(s) - 6*p(s).
-s - 1
Let d(g) = -64*g - 1. Let k(l) = 13*l. What is 2*d(f) + 11*k(f)?
15*f - 2
Let b be (-20)/(-5) - 3/(-3). Let x(q) = -3*q + 3*q - q - 1 + b*q. Let i(s) = s + 4 - 4. Calculate -2*i(y) + x(y).
2*y - 1
Let f be (-2)/(-6) + 10/(-3). Let c(a) = -a - 1. Let d(j) = 4*j + 3. Let u = 39 - 40. What is f*c(m) + u*d(m)?
-m
Let j(u) = -2*u**3 + u**2 - 6. Let h be (-17 - -14) + (1 - 0)*-3. Let b(i) = -4*i**3 + 2*i**2 - 13. Determine h*b(p) + 13*j(p).
-2*p**3 + p**2
Let g(n) = n**2 + n. Let p(o) = 2*o**2 - 2*o + 1. Determine -2*g(r) - p(r).
-4*r**2 - 1
Let m(o) = 7*o + 7. Let w(t) = 20 + 15 - 50 + 4*t + 19. What is 3*m(j) - 5*w(j)?
j + 1
Let v(k) = 6*k**2. Let z(n) = 7*n**2. Let f = -45 + 50. Calculate f*z(w) - 6*v(w).
-w**2
Suppose k + 9 = -0*c + 2*c, -18 = 3*k - 3*c. Let l = 16 + -8. Let j(t) = 2*t + 3. Let z(u) = 6*u + 10 + 4 - 7 + 1. Determine k*z(q) + l*j(q).
-2*q
Let c(t) = -t - 1. Let s(k) = 6*k + 5. Let g(a) = -a**3 + 8*a**2 - 8*a + 9. Let o be g(7). Suppose -6*w + 4 = -o*w. What is w*s(z) + 4*c(z)?
2*z + 1
Let t(b) = 5*b**3 - 5*b**2 - 3*b. Let w(q) = -q**3 + q**2 - q. Give t(s) + 3*w(s).
2*s**3 - 2*s**2 - 6*s
Let m(j) = -119*j**3 + 42*j**2 + 42*j - 42. Let o(z) = -14*z**3 + 5*z**2 + 5*z - 5. Calculate 5*m(q) - 42*o(q).
-7*q**3
Let i(c) = -c**3 - c**2 + 2*c + 7. Let f(s) = s**3 + s + 1. Calculate f(q) - i(q).
2*q**3 + q**2 - q - 6
Let x(k) = 2*k**3 + 6*k**2 - 7*k + 17. Let l(c) = -c**2 + c - 1. Determine -6*l(g) - x(g).
-2*g**3 + g - 11
Let h(u) = 2*u**3 - u**2 + 3*u - 4. Let d(j) = 1. Give 5*d(f) + h(f).
2*f**3 - f**2 + 3*f + 1
Let r(q) = q - 1. Let o(g) = 41*g - 3. Determine -o(f) + 5*r(f).
-36*f - 2
Let d(r) be the third derivative of r**7/5040 - r**5/60 + 4*r**2. Let z(k) be the third derivative of d(k). Let a(v) = 2 - 1 - 3*v + v. Give -2*a(p) - 5*z(p).
-p - 2
Let u(h) = -h**2 + h + 5. Let y(d) = d**2 - d - 4. Let c(n) = 4*u(n) + 5*y(n). Let s(p) = -p**3 - 8*p**2 + 6*p. Calculate 6*c(t) + s(t).
-t**3 - 2*t**2
Let g be (-48)/(-72)*(-1)/((-2)/(-3)). Let a(l) = 4*l**3 + 5*l + 5. Let f(z) = z + 1. What is g*a(y) + 5*f(y)?
-4*y**3
Let r(b) = -3*b + 3. Let v(j) = -j + 1. Let c = 25 - 21. What is c*r(q) - 14*v(q)?
2*q - 2
Let q(m) be the first derivative of 1 - 2*m + 3*m**2 - 1 - 4*m**2 + 1. Let r(i) = 4*i + 4. Let k = 6 - 12. What is k*r(o) - 13*q(o)?
2*o + 2
Let j(t) = 3*t**2 - 5*t + 5. Let z = 2 - 0. Let l(m) = 1 - 3*m + m**z + 0*m + 2*m. Determine -j(d) + 5*l(d).
2*d**2
Let j(h) = -30*h**2 + 3*h + 3. Let b(m) = m**2 + m + 1. Give -3*b(g) + j(g).
-33*g**2
Suppose 0*b + 5*o = -2*b + 17, 4*o = -5*b. Let s(v) = -v. Let c(q) = q. What is b*s(h) - 5*c(h)?
-h
Let k(w) = 3*w**3 - 2*w**2 - 2*w - 2. Let p = 83 - 81. Let u(b) = -16*b**3 + 11*b**2 + 11*b + 11. Give p*u(x) + 11*k(x).
x**3
Let k(i) = 49*i**3 - 5*i**2 + 5*i. Let g(j) = 74*j**3 - 8*j**2 + 8*j. What is -5*g(b) + 8*k(b)?
22*b**3
Let b(g) = 3*g**2 + 4*g + 4. Let u(f) = -2*f**2 - 5*f - 4*f**2 + 2*f**2 - 24 + 19. Give 6*b(d) + 5*u(d).
-2*d**2 - d - 1
Let j(u) = -u + 1. Let p(h) = -2*h - 5. Calculate 3*j(i) + p(i).
-5*i - 2
Let n(s) = -10*s**2 + 5*s. Let a(m) = -10*m**2 + 6*m. Determine 5*a(r) - 6*n(r).
10*r**2
Let o(a) = a**3 + 9*a**2 - 10*a + 1. Let m be o(-10). Let c = -1 + m. Let j(h) = h + 0*h + c*h. Let p(n) = 3*n - 1. Determine 2*j(b) - p(b).
-b + 1
Let o(y) = -3*y**3 + 2*y**2 - 3. Let w = -15 - -17. Let f(s) = 10*s**3 - 7*s**2 + 10. What is w*f(i) + 7*o(i)?
-i**3 - 1
Let b(h) = 7*h**2 + 13*h - 11. Let l(k) = 2*k + 16. Let a be l(-5). Let g(d) = -3*d**2 - 6*d + 5. Determine a*b(m) + 13*g(m).
3*m**2 - 1
Let q(c) = -2*c**3 - 11*c + 11. Let b(j) = -j**3 + 3 - 2 + 2*j**3 + 4*j - 5. Calculate -11*b(p) - 4*q(p).
-3*p**3
Let s(d) = 2*d + 2. Let c(f) = 2*f - 9. Let l be c(4). Let p(t) = 1. What is l*s(u) + 4*p(u)?
-2*u + 2
Let l(i) = i + 7. Let g(t) = t + 4. Give -5*g(b) + 3*l(b).
-2*b + 1
Let u(l) = l + 1. Let s(o) = 56 - 17 - 16 - 21 + 2*o. Calculate -4*s(r) + 10*u(r).
2*r + 2
Let d(c) = -7*c - 26. Let j(l) = -13*l - 51. Give 7*d(k) - 4*j(k).
3*k + 22
Let j(k) = 3*k. Suppose -4 = -0*l - l. Suppose 6*v - 5*v = l. Let w(n) = -2*n. Determine v*j(q) + 5*w(q).
2*q
Let j(m) = 1. Let a(h) = -2 + 0 + 14 - 8 - h. What is -5*a(q) + 20*j(q)?
5*q
Let h(j) = j**3 + 5*j**2 + 4. Let y be h(-5). Let v(q) = 3*q - y*q + 2 + 2 + 5*q. Let g(n) = 3*n + 3. Calculate -7*g(m) + 5*v(m).
-m - 1
Let o(h) = 7*h - 8. Let z(k) = -15*k + 17. What is 13*o(a) + 6*z(a)?
a - 2
Let m(i) = -14*i. Let l = 15 - -16. Let n = -19 + l. Let d(v) be the third derivative of -v**4/24 - 2*v**2. Determine n*d(u) - m(u).
2*u
Suppose 3*h - 2*h + 2 = 0. Let v(k) = k + 2 - 3 - 2*k. Let c(s) = -2 - 3 + 4. Calculate h*v(w) + 3*c(w).
2*w - 1
Let z(r) = 2. Let a(q) = -q - 2. Give 5*a(u) + 6*z(u).
-5*u + 2
Let a(k) = -2*k**2 + 11*k - 6. Let b be a(4). Let z(g) = 2*g**2 + 13*g + 17. Let o(i) = i**2 + 7*i + 9. Determine b*z(m) - 11*o(m).
m**2 + m + 3
Let t(d) = d**2 + 1. Let y(a) = 5*a**2 - 2*a + 5. Give 6*t(o) - y(o).
o**2 + 2*o + 1
Let x(o) = 4*o**2 - o + 3. Let i(r) = -13*r**2 + 3*r - 8. Calculate -2*i(a) - 7*x(a).
-2*a**2 + a - 5
Suppose 2*y - 9 = u - 0*u, -4*u - 12 = 0. Let n(k) = -7*k**2 - 2*k - 4. Let j(a) = -6*a**2 - 2*a - 3. What is y*n(s) - 4*j(s)?
3*s**2 + 2*s
Let w(k) = 3*k**3 - k**2 - 7*k - 2. Let o(d) = 4*d**3 - 8*d - 3. Determine -2*o(g) + 3*w(g).
g**3 - 3*g**2 - 5*g
Let t(v) = -4*v - 8. Let b(q) = -q - 2. Suppose -g - 2*j = -2*g + 4, -4*j + 4 = 0. Suppose 0 = -2*w - 0*w - g. Let p be w/(-2)*(1 + -7). Give p*b(r) + 2*t(r).
r + 2
Let n(d) = d - 1. Let w(c) = 1. Let l(g) = n(g) + w(g). Let k(s) = 3*s - 2. Calculate -k(p) + 2*l(p).
-p + 2
Let i(g) = 4*g - 3. Let x(u) = u - 1. Suppose 13 + 2 = -3*l. Calculate l*x(b) + i(b).
-b + 2
Let j(b) = -51*b**2 - 4*b + 4. Let x(h) = 51*h**2 + 3*h - 3. Determine -3*j(w) - 4*x(w).
-51*w**2
Let p(w) = 3*w**2 - 8*w - 1. Let a(q) = 3*q**2 - 7*q