s 5*l(j) - z(j)?
3*j - 2
Suppose 7 = -4*o + 5*r, -3*o = 4*r - 3*r + 10. Let j(h) = -3. Let n(b) = b**2 - 1. Determine o*n(m) + j(m).
-3*m**2
Let j(w) = 4*w**3 + 2*w**2 + 4*w. Suppose 4*l + 0*l + 28 = 0. Let p(h) = -2*h**3 - h**2 - 2*h. Determine l*p(y) - 4*j(y).
-2*y**3 - y**2 - 2*y
Let q(v) = 5*v**2 - 2*v - 1. Let b be q(-1). Let i(r) = -23*r - 6. Let z(h) = -4*h - 1. Let c = -82 - -48. Give b*i(y) + c*z(y).
-2*y - 2
Let u(s) = 4*s**2 - 12*s + 8. Let d(o) = -o**2 + 4*o - 3. What is 8*d(c) + 3*u(c)?
4*c**2 - 4*c
Let k(r) = -r + 1. Let h(u) = -5*u + 5. Suppose p - 3*n + 0*n = 3, 0 = -4*p + 2*n - 8. What is p*k(w) + h(w)?
-2*w + 2
Let f be (2 + -3)*(1 - 0). Let u(d) = -d**2 + d. Let h(n) = -2*n**2 + 0*n**2 - 107*n + n**2 + 104*n + n**3. Calculate f*h(y) - u(y).
-y**3 + 2*y**2 + 2*y
Let z(w) = -5*w**3 - 2*w + 1. Let c(p) = 5*p**3 + 3*p - 1. Determine -4*c(t) - 5*z(t).
5*t**3 - 2*t - 1
Let c(m) = -741*m + 221. Let i(q) = -10*q + 3. Calculate 6*c(r) - 442*i(r).
-26*r
Let d(m) = 6 - 3*m - 5 + 0*m + 2. Let q(s) = -4*s + 4. Calculate 7*d(t) - 5*q(t).
-t + 1
Let o(k) = 5*k**3 + 4*k**2 - 6*k + 2. Let p(q) = 6 - 17*q + q**3 + 18*q**2 + 3*q**3 - 7*q**2 + 10*q**3. What is 17*o(l) - 6*p(l)?
l**3 + 2*l**2 - 2
Let o(p) = p**3 + p**2 - p - 1. Let m(f) = -3*f**3 - 3*f**2 + 5*f + 4. Suppose -5*k + 1 = 26. What is k*o(s) - m(s)?
-2*s**3 - 2*s**2 + 1
Let f(z) = z - 1. Let c(k) = k - 2. Let u be (-6)/(-27) + (-22)/18. Give u*c(p) + 3*f(p).
2*p - 1
Let h(p) = 2*p - 1. Let y(w) be the second derivative of -w**3/6 + w**2/2 - w. Let b(x) = 2*x - 6. Let d be b(7). Suppose -5*c = -d + 3. Give c*h(r) + y(r).
r
Let b(n) = n**3 - 6*n**2 - 4*n - 5. Let f(x) = 5*x**2 + 3*x + 4. Determine -3*b(o) - 4*f(o).
-3*o**3 - 2*o**2 - 1
Suppose 21 + 3 = 12*i. Let a(n) = -n**3 - 5*n**2 + 4*n. Let y(f) be the third derivative of -f**5/60 + f**4/24 + 2*f**2. What is i*a(u) - 9*y(u)?
-2*u**3 - u**2 - u
Let n(m) = 23*m**2 - 17*m + 17. Let w(b) = 8*b**2 - 6*b + 6. Determine -6*n(k) + 17*w(k).
-2*k**2
Let o(w) = -3*w**2 + 3*w**2 - w**2 + w + 1. Let g(d) = 2*d**3 - 3*d**2 + 4*d + 1. Give g(x) - 3*o(x).
2*x**3 + x - 2
Let a be 2*((-7)/2)/1. Let x(l) = -6 - 5*l - 2 + 2. Let p(o) = -6*o - 7. Determine a*x(b) + 6*p(b).
-b
Let l(d) = 5*d**2 - 7*d - 5. Let y(r) be the first derivative of -2*r**3/3 + 3*r**2/2 + 2*r + 4. Determine 6*l(u) + 14*y(u).
2*u**2 - 2
Let g(j) be the third derivative of -j**5/12 + j**4/12 + j**3/3 + j**2. Let c(y) = -y**2 + y. Suppose -5*k - 11 = -a, 5*a + 11 = 5*k - 2*k. Give a*c(w) + g(w).
-w**2 - 2*w + 2
Let k(m) = -m**3 - m**2 - m - 1. Let r(x) = -10*x**3 - 5*x**2 - 5*x - 4. Determine -4*k(v) + r(v).
-6*v**3 - v**2 - v
Let y(o) = -5*o**3 + 3*o**2 + 3*o. Suppose 3*w = 8*w + 25. Let i = 2 + w. Let t(m) = 7*m + 3 - 11*m**3 + 7*m**2 - 3. Give i*t(j) + 7*y(j).
-2*j**3
Suppose i + 4 = 2*i. Let j(t) = -2*t + 5. Let b be j(4). Let x(n) = 5*n + 1 + 0 - 4*n. Let s(h) = 2*h + 1. What is b*s(w) + i*x(w)?
-2*w + 1
Let r(g) = -5*g - 2. Let p(n) = -4*n - 2. Determine -6*p(d) + 4*r(d).
4*d + 4
Let n(t) = -8*t**2 - 3. Let q(k) = k**2 - 1. Give -n(z) + 3*q(z).
11*z**2
Let b(y) = y. Suppose 3*o - 2*x + 13 = 0, -3*x - 26 = 3*o - 8. Let j(m) = -6*m - 1. What is o*b(v) - j(v)?
v + 1
Let s(q) = -1. Let l(b) = 2. Let k(c) = -l(c) - s(c). Let d(p) = p - 2. Calculate -d(t) + 3*k(t).
-t - 1
Let o(d) = -3*d + 2*d - 4*d + 1. Let k(x) = 2*x + 4. Let y be k(-5). Let v(a) = a. Suppose -1 - 2 = 3*h. Give h*o(l) + y*v(l).
-l - 1
Let j(q) = 2*q**2 + 2*q - 1. Let f(c) = -c**2 - 1. Let s = -6 + 7. Suppose 4 = -p + 5*p. Determine p*f(o) + s*j(o).
o**2 + 2*o - 2
Let b(f) = -f**3 + f**2 - f. Let n(v) be the third derivative of -v**6/60 - v**4/8 - 14*v**2. Calculate 3*b(a) - n(a).
-a**3 + 3*a**2
Let n(r) = -r. Let t(g) be the first derivative of -g**4/4 + 4. Let w be t(1). Let f(l) = l - 2. What is w*f(k) - 2*n(k)?
k + 2
Let y(i) = i**3 - i - 4. Let j(p) = p - 7. Let n be j(3). Let s(r) be the third derivative of r**6/60 - r**4/12 - 5*r**3/6 + 16*r**2. What is n*y(l) + 3*s(l)?
2*l**3 - 2*l + 1
Let b(p) = 5*p**3 - 6*p**2 - 5*p + 9. Let j(t) = 6*t**3 - 7*t**2 - 6*t + 10. Give 7*b(h) - 6*j(h).
-h**3 + h + 3
Let b(u) = u**3 - 6*u**2 - u. Let p be b(6). Suppose -3*w - 1 = 2. Let y(s) = -7*s + s + s. Let v(r) = r. What is p*v(n) + w*y(n)?
-n
Let m(j) = 3*j**2 - 3*j - 3. Let t(d) = -7*d**2 + 5*d + 5. Calculate 5*m(x) + 3*t(x).
-6*x**2
Let l(c) = -8*c**3 + 5*c**2 + 19*c - 13. Let h(z) = 4*z**3 - 2*z**2 - 9*z + 6. Give 9*h(o) + 4*l(o).
4*o**3 + 2*o**2 - 5*o + 2
Let b(a) = -a**2 - 1. Let s(v) = -22*v**2 + 6*v + 30. Let t(w) = 4*b(w) + s(w). Let i(g) = 5 - 5*g**2 + g + 1 - 1. What is 16*i(r) - 3*t(r)?
-2*r**2 - 2*r + 2
Let y(u) = -7*u**2 - 8*u - 12. Let s(v) = 13*v**2 + 15*v + 24. Give -6*s(o) - 11*y(o).
-o**2 - 2*o - 12
Let v(j) = 6 - 6*j - 3 + j. Let m(i) = -14*i + 8. Calculate -4*m(b) + 11*v(b).
b + 1
Suppose -2*a = -6, 2*r - 2*a = -4*a - 10. Let k(m) = -7*m. Let c(y) = 4*y. Let n(b) = 5*c(b) + 2*k(b). Let h(p) = -4*p. Give r*h(s) - 5*n(s).
2*s
Let c(v) be the second derivative of -v**3/6 + v**2/2 + 3*v. Let a(m) be the first derivative of -3*m**2 + 6*m - 2. Let d = -7 - -5. What is d*a(n) + 14*c(n)?
-2*n + 2
Suppose -w + 2*w + 4 = s, -s + 4*w = -13. Let b(j) = 2*j**3 - 7*j**2 + 7*j - 6. Let c(v) = v**2 - v + 1. Give s*b(n) + 6*c(n).
2*n**3 - n**2 + n
Let a(d) = -6*d**2 + 5*d. Let l(t) = -t**2 + t. Give -4*a(h) + 20*l(h).
4*h**2
Suppose 4*j = -3*t - 0*j + 9, 0 = -4*t + 4*j + 12. Let v(a) = 7 - a + 5 - t + 2. Let w(k) = k - 6. Calculate 3*v(h) + 5*w(h).
2*h + 3
Let r(p) = -p**3 - 2*p**2 + 2*p. Suppose 10 = -3*g - 2. Let a(l) = -4*l**3 - 7*l**2 + 7*l. Give g*a(n) + 14*r(n).
2*n**3
Suppose 0 = -2*q + q - 5, 0 = 4*p + 3*q - 13. Let m(x) = 6*x**3 - 4*x**2 - 6. Let a(k) = 11*k**3 - 7*k**2 - 11. Determine p*m(r) - 4*a(r).
-2*r**3 + 2
Let c(m) = -m**2 - m - 1. Let v = -22 + 24. Let w(x) = 2*x**3 + 2*x**2 + 4*x + 3. Determine v*c(k) + w(k).
2*k**3 + 2*k + 1
Let c(y) = y. Let z(x) = 2*x + 1. Let a(s) = -4*c(s) - z(s). Let i(q) = q. Calculate a(f) + 4*i(f).
-2*f - 1
Let p(t) = -4*t + 2. Let h = -2 + 4. Let q = 327 + -324. Let m(j) = 5*j - 3. Calculate h*m(d) + q*p(d).
-2*d
Let p(o) = 2*o - 10. Let z(b) = b + 2. Let i be z(-1). Let q(f) = -8. Let n(a) = -3. Let r(g) = -11*n(g) + 4*q(g). Determine i*p(h) + 10*r(h).
2*h
Let q(c) = c**3 + c**2 + c. Let n(t) be the first derivative of 5*t**4/2 + 4*t**3 + 6*t**2 - 23. Let k be ((-18)/(-8))/((-3)/(-16)). Calculate k*q(i) - n(i).
2*i**3
Let i(d) = -6*d**2 - d - 1. Let u be i(-1). Let l(f) = f - 1. Let n(b) = 5*b - 6. Calculate u*l(q) + n(q).
-q
Let a(c) = -12*c - 1. Let z(i) = 11*i + 2. Determine -5*a(j) - 6*z(j).
-6*j - 7
Let i(y) = -7*y**3 + 6*y**2 - 5*y + 8. Let s(l) = 20*l**3 - 17*l**2 + 14*l - 23. Let g be -1 - 0/1 - 20. Let j = -38 - g. What is j*i(u) - 6*s(u)?
-u**3 + u + 2
Let l be (108/(-90))/((-2)/5). Let d(r) = -r**3 + 4*r**2. Let g(y) = -3*y**3 + 11*y**2 - 1. Give l*g(i) - 8*d(i).
-i**3 + i**2 - 3
Let u(t) = -2*t**2 - t + 5. Let o(g) = 3*g**2 + 2*g - 6. Let v(d) = -4*d**2 - d. Let h be v(1). Let k be (h - -6)/((-2)/6). What is k*o(l) - 4*u(l)?
-l**2 - 2*l - 2
Let y(s) = 10*s - 6. Let w(t) = 10*t - 5. What is 7*w(i) - 6*y(i)?
10*i + 1
Let w(y) = 3*y + 2. Let x(c) = -12*c - 8. Let g(j) = j + 1. Let t be g(-3). Let z be t + 1 - (0 - -8). Give z*w(q) - 2*x(q).
-3*q - 2
Let a be -3*(2 - 3)/1. Let p(z) = z + 2. Let d(v) = -1. Let l(w) = 9*d(w) + 4*p(w). Let i(s) = 2*s - 1. Calculate a*l(h) - 5*i(h).
2*h + 2
Let m(z) = z + 1. Let n = 2 - 1. Let t(s) = 7*s + 3 + 4 + n. Calculate 5*m(i) - t(i).
-2*i - 3
Let j(f) = -2*f + 7. Let u(a) = -3*a + 13. Calculate -5*j(z) + 2*u(z).
4*z - 9
Let t(z) = 6*z - 2. Let f(q) = 6*q - 3. What is 5*f(o) - 6*t(o)?
-6*o - 3
Suppose -3*x = 5*b - 2*b + 24, -3*b = x + 18. Let w(d) = -11*d**2 + 7*d. Let m(c) = 5*c**2 - 3*c. Give x*w(k) - 7*m(k).
-2*k**2
Let c(d) = 5*d - 1. Let m(q) = -9*q + 2. Let b(a) = a**3 + 2*a**2 - 3*a - 5. Let y be b(-4). Let h = -18 - y. Let f = 11 - 7. Give f*m(j) + h*c(j).
-j + 1
Let m(r) = 2 + 2 - 11*r + 4*r - 10. Let i(d) be the second derivative of 0 - d + 1/2*d**2 + 1/6*d**3. What is 6*i(u) + m(u)?
-u
Let k(t) be the third derivative of -5/6*t**3 + 0 - 3*t**2 + 0*t - 1/12*t**4. Let j(z) be the first derivative of z**2 + 6*z + 1