- 1
Let f(d) = -d**3 - 2*d**2 - 4*d + 2. Let m(n) = -n**3 - 2*n**2 - 3*n + 2. Give -4*f(b) + 5*m(b).
-b**3 - 2*b**2 + b + 2
Suppose 5*l = 4*l + 5. Let a(k) = 5*k - 7. Let d(u) = -u + 5*u + 0*u - 6. Let f(y) = y**2 + 6*y + 3. Let s be f(-3). Calculate l*a(o) + s*d(o).
o + 1
Suppose -b - 3 = 1. Let d(y) = -2 + 1 + 7*y + 3. Let m(z) = 3*z + 1. Let p(o) = b*d(o) + 7*m(o). Let s(c) = 13*c + 2. Determine 11*p(g) + 6*s(g).
g + 1
Let t = -7 + 21. Let o(h) = 2*h - 5. Let d(f) be the first derivative of -f**2/2 + 2*f - 18. Calculate t*d(l) + 6*o(l).
-2*l - 2
Let i = -16 - -27. Let z(l) = -16*l. Let y(j) = 3*j. Let x(m) be the third derivative of -m**4/24 - 2*m**3/3 - m**2. Let r be x(-6). What is i*y(o) + r*z(o)?
o
Let v(y) = 2*y**2 - 2*y + 6. Let z(h) be the second derivative of -h**4/2 + h**3 - 17*h**2/2 - 26*h. Give 17*v(s) + 6*z(s).
-2*s**2 + 2*s
Let k(m) = 2*m + 4. Let n(y) = 3*y + 5. Suppose -5 = -2*g + 3, 2*x + 4*g - 20 = 0. Suppose x*h - 3*h = -2. Suppose h*f - 8 = -0*f. Determine f*n(u) - 5*k(u).
2*u
Let o(b) be the first derivative of 0 - 1 + b + 4. Let n(i) = -i**2 + i + 2. Calculate -n(w) + 4*o(w).
w**2 - w + 2
Let g(y) = -y - 4. Let t(j) = -2*j - 7. Give 7*g(l) - 4*t(l).
l
Suppose -20 = 4*u, 3 = -3*y + 2*y - 5*u. Let s(j) = -12*j - 1. Let h(m) = m. Determine y*h(v) + 2*s(v).
-2*v - 2
Suppose 6 = -3*l + 2*l. Let z(p) = 5*p**2 - 2. Let h(s) = s**2. Give l*h(g) + z(g).
-g**2 - 2
Let i(z) = -8*z. Let c(o) = o. What is 3*c(k) - i(k)?
11*k
Let b(r) = -3*r**2 - 4*r + 5. Let k(v) = v**2 + 2*v - 2. Suppose -4*d = 3*l - 8, 0 = d - 2*d - 4*l + 2. Give d*b(y) + 5*k(y).
-y**2 + 2*y
Suppose 24 = 2*u - 6*u. Let z(o) = -o - 1. Let r(a) be the first derivative of -a**2 - 2*a - 3. Determine u*r(s) + 13*z(s).
-s - 1
Let d(k) = -3*k. Let v(i) = 2*i. Let b(j) = -3*d(j) - 5*v(j). Let p(a) = 2*a**2 - 10*a. What is 10*b(w) - p(w)?
-2*w**2
Let k(o) = -o + 8. Let q be k(7). Let s(d) = -7*d - 12 - 6*d + 2 + q. Let t(l) = 3*l + 2. Determine 2*s(g) + 9*t(g).
g
Let x(z) = z**2 - z + 1. Let y(j) = 6*j**2 - 5*j + 5. Let g be (-2)/(-3) - 17/3. Give g*x(r) + y(r).
r**2
Let u(t) = -27*t - 7. Let o(h) = -14*h - 3. Give -7*o(y) + 3*u(y).
17*y
Let d(w) be the first derivative of -w**2/2 - 3*w + 58. Let q(r) = r + 4. Calculate 6*d(g) + 4*q(g).
-2*g - 2
Let y(x) = 4*x**3 + 3*x**2 + 2*x - 6. Let g(z) = 4*z**3 + 4*z**2 + 2*z - 7. Let o(p) = 6*g(p) - 7*y(p). Let c(m) = -m**3 + m**2 - m. Calculate -3*c(h) + o(h).
-h**3 + h
Let h(a) = 2*a**3 - 3*a**2 + 2*a. Let p(x) = -3*x**3 - 3 - 3*x + 19*x**2 - 14*x**2 + 3. Calculate 5*h(z) + 3*p(z).
z**3 + z
Suppose -3*o - 24 = 5*a - a, -15 = 3*o + a. Let l(q) = 21*q + 9. Let m(h) = 5*h + 2. Let s(r) = 2*l(r) - 9*m(r). Let k(i) = -2*i. Calculate o*k(f) + 3*s(f).
-f
Let t(u) = 9263*u**2 + 472. Let r(n) = -59*n**2 - 3. What is 472*r(c) + 3*t(c)?
-59*c**2
Let a(p) be the second derivative of -7*p**3/6 + 5*p**2/2 - 15*p. Let g(y) = -8*y + 6. What is 7*a(t) - 6*g(t)?
-t - 1
Let t(i) = -3*i - 7. Suppose 2 = -g + 6. Let u = 6 + g. Let x(w) be the third derivative of w**4/12 + 2*w**3/3 - w**2. Give u*x(y) + 6*t(y).
2*y - 2
Let z(b) = -287*b. Let s(l) = -12*l. Determine 49*s(f) - 2*z(f).
-14*f
Let r(l) = l**2 - 1. Let i(t) = 7*t**2 - 2*t - 6. Suppose -2*q + n = 0, n = -4*n - 10. Determine q*i(o) + 4*r(o).
-3*o**2 + 2*o + 2
Let x be 1/(-5 - -6)*5*1. Let b(a) = 11*a. Let j(y) = -10*y. What is x*b(h) + 6*j(h)?
-5*h
Let p(h) = 3*h + 3. Let n(a) = a + 1. Give 7*n(u) - 2*p(u).
u + 1
Let l(j) = j + 4. Let p be -3*(0 + (-1)/3). Let d = p - 5. Let b = d - -6. Let z(m) = -2*m - 9. Give b*z(c) + 5*l(c).
c + 2
Suppose -j = -6*j, -4*j = 5*u - 30. Let o(d) = -2*d**3 - 2*d**2 - 3*d. Let s = 2 - 0. Let m(b) = b**3 + b**2 + b. What is s*o(q) + u*m(q)?
2*q**3 + 2*q**2
Let s(o) = 4*o + 5. Let t(h) be the third derivative of h**4/6 + h**3 + 2*h**2. What is -5*s(x) + 4*t(x)?
-4*x - 1
Let x(f) = -f**2. Let k(b) = -3*b**2 + 2. Determine k(i) + 3*x(i).
-6*i**2 + 2
Let o(n) be the first derivative of 4*n**3/3 - 3*n**2/2 - 3*n - 2. Let q(c) = -c**2 + c + 1. Calculate 2*o(x) + 6*q(x).
2*x**2
Let j(x) = -11*x**2 - 3*x - 3. Let w(c) = -33*c**2 - 8*c - 8. What is 8*j(q) - 3*w(q)?
11*q**2
Let i(x) = 3*x + 2. Let p(w) = 2*w - 17 - 4*w + 14. Determine -3*i(q) - 2*p(q).
-5*q
Let l(g) = -21*g + 5. Let d(f) = -22*f + 6. Calculate -5*d(b) + 6*l(b).
-16*b
Let r(i) = 7*i. Let k(b) = 50*b. What is -2*k(d) + 15*r(d)?
5*d
Let m(w) = -14 + 6*w - 5*w + 9. Let j(a) = -a + 3. Give -5*j(i) - 3*m(i).
2*i
Let f(o) = o + 5. Let w(k) = -k - 3. Let p be w(-8). Let s(a) = 1. Give p*s(t) - f(t).
-t
Let w(y) = -y**2 - 6*y - 7. Let u(r) be the second derivative of r**4/12 + 2*r**3/3 + 5*r**2/2 + r. Let c = 34 - 29. What is c*w(d) + 7*u(d)?
2*d**2 - 2*d
Let m(f) = f**3 - f**2 + f + 1. Let w = 2 + -1. Let v(j) = 2 + 2*j - 2*j**2 + 32*j**3 - 52*j**3 + 24*j**3. Determine w*v(r) - 2*m(r).
2*r**3
Let z(j) = -4 + 3*j + 5 + 3*j - 5*j. Let d = 0 - 1. Let m(s) = -7*s - 7. Give d*m(l) - 5*z(l).
2*l + 2
Let g(i) = 2*i**3 - 7*i**2 - 6*i. Let u(j) = -2*j**3 + 8*j**2 + 7*j. Let a be (2/1)/((-8)/20). Let l be 84/15 - (-3)/a. Give l*u(v) + 6*g(v).
2*v**3 - 2*v**2 - v
Let b(o) = o - 1. Suppose 4*c - 3*j = -8*j - 14, -5*j = -5*c + 5. Let h(i) = -3*i + 1. Let r = -2 + 1. What is c*h(t) + r*b(t)?
2*t
Let b(q) = 6*q**3 + 7*q**2 + 7*q + 7. Let w(k) = 5*k**3 + 6*k**2 + 6*k + 6. Suppose 118*v - 14 = 116*v. Determine v*w(s) - 6*b(s).
-s**3
Let x(u) = 2*u**3 - 6*u**2 + 6. Let i(l) = -4*l**3 + 11*l**2 - 11. Determine 6*i(j) + 11*x(j).
-2*j**3
Let q(c) = -2*c**3 + 2*c**2 - 12. Let z(k) = -3 - 3 + 5. Suppose 3*w + 75 = 5*l, 2*l + 3*w + 39 = 4*l. Give l*z(g) - q(g).
2*g**3 - 2*g**2
Let o(m) = -8*m + 28. Let l(p) = -7*p + 27. Give -6*l(j) + 5*o(j).
2*j - 22
Let i(h) be the first derivative of -5*h**4/4 - 2*h**3/3 + h**2 + 2*h + 18. Let n(q) = 21*q**3 + 9*q**2 - 9*q - 9. Give -18*i(p) - 4*n(p).
6*p**3
Let n(p) = -p**2 - 3*p + 2. Let z be (6/(-8))/(1/4). Let k(f) = -f**2 - f. Suppose 0 = -2*s - r - 2, 5 + 3 = 4*s - r. What is s*n(i) + z*k(i)?
2*i**2 + 2
Let m(j) be the first derivative of -2*j**3/3 - j**2/2 + 4*j + 4. Let z(i) = i**2 - 1. Suppose 0 = -2*u - 2 + 6. What is u*m(d) + 6*z(d)?
2*d**2 - 2*d + 2
Let q(u) = 176*u. Let v(p) = 16*p. Determine -3*q(i) + 32*v(i).
-16*i
Let a(p) = 3*p**2 + 6*p + 6. Let h(c) be the third derivative of c**5/60 + c**4/24 + c**3/6 + 11*c**2. Give a(t) - 6*h(t).
-3*t**2
Let u(r) = 61*r - 17. Let p(a) = 15*a - 4. Give 9*p(y) - 2*u(y).
13*y - 2
Let s(y) = -4*y**3 + y**2. Suppose 3*b - 8 - 10 = 0. Suppose 0*a = 5*a - v + b, a + 3*v + 14 = 0. Let c(k) = 13*k**3 - 4*k**2 - k. Determine a*c(x) - 7*s(x).
2*x**3 + x**2 + 2*x
Let t(g) = g - 2. Let l(y) be the second derivative of y**3/6 - y**2/2 + 6*y. Give 5*l(h) - 3*t(h).
2*h + 1
Let k(i) = -12*i**2 - 32*i - 32. Let d(f) = 3*f**2 - 7*f - 3. Let l(y) = 2*y**2 - 6*y - 3. Let m(x) = -3*d(x) + 4*l(x). Calculate 3*k(h) - 32*m(h).
-4*h**2
Let o(m) = 18*m**2 + 2*m - 2. Let k(p) = 125*p**2 + 15*p - 15. Calculate 4*k(g) - 30*o(g).
-40*g**2
Let q(s) = 7*s**3 - 5*s + 1. Suppose -5*o - 17 = 18. Let r(y) = -59*y**2 + 59*y**2 - 6*y + 1 + 8*y**3. Determine o*q(d) + 6*r(d).
-d**3 - d - 1
Let x(y) = -9*y - 10. Let z(m) = -4*m - 5. Calculate -3*x(h) + 7*z(h).
-h - 5
Let y be (4/8)/(((-21)/6)/7). Let i(p) = -1. Let q(a) = -a + 3. Give y*q(u) - 6*i(u).
u + 3
Let v(n) = -58*n + 1. Let p(h) = -39*h + 1. Determine 8*p(s) - 5*v(s).
-22*s + 3
Let s(n) = n - 3. Let b(r) = 7*r + 1. Let a(i) = 3*i. Let v(u) = 5*a(u) - 2*b(u). What is 2*s(g) - 3*v(g)?
-g
Let n(u) = -11*u + 11. Let y(p) be the first derivative of -3*p + 3 + p**2 + p**2 + 0*p - p. What is 3*n(h) + 8*y(h)?
-h + 1
Let z(k) = k + 1. Let a(l) = -8. Let q(b) = -1. Let f(i) = -2*a(i) + 20*q(i). Determine f(p) + 4*z(p).
4*p
Let x(j) = 12*j**2 - j + 3. Let k(n) = 11*n**2 - n + 4. Give 6*k(w) - 7*x(w).
-18*w**2 + w + 3
Let i(b) = -7*b + 7. Let y(v) = 3*v - 3. Suppose 0 = 3*u - 2*u - 9. Let h(z) = u*y(z) + 4*i(z). Let q(d) = -6*d + 5. What is 5*h(n) - q(n)?
n
Let v(t) = t**2 + 4*t - 1. Let w(y) = y**3 - 9*y**2 - 11*y + 15. Let c be w(10). Let u(m) = m**2 + 5*m - 1. Determine c*v(o) - 4*u(o).
o**2 - 1
Let y(i) = 1. Let k(z) = z + 5. Let m be k(0). Let w = 6 - m. Let l(f) = 3*f - 18. What is w*l(n) + 18*y(n)?
3*n
Let v(a) = 2*a**2 - 4*a + 