t v(r) = r**3 - 4*r**2 - 2*r + 4. Let g(n) = 3*n**3 - 8*n**2 - 5*n + 9. What is 2*g(c) - 5*v(c)?
c**3 + 4*c**2 - 2
Let i(m) = -m**2 - 11*m + 9. Let u(q) = -2*q**2 - 17*q + 14. What is 8*i(w) - 5*u(w)?
2*w**2 - 3*w + 2
Let w(q) = q**2 - q - 11. Let o(r) = -4*r**2 + 3*r + 45. What is 2*o(i) + 9*w(i)?
i**2 - 3*i - 9
Let h(o) be the second derivative of 2*o**3/3 - o**2/2 - 4*o. Let a(j) = -j. What is -5*a(b) - h(b)?
b + 1
Let i(d) = -2*d + 18. Let g(u) = -u + 17. Give 3*g(c) - 2*i(c).
c + 15
Let s(c) = 9*c - 5. Let x(g) be the third derivative of -g**4/4 + g**3/2 + g**2. What is 5*s(h) + 8*x(h)?
-3*h - 1
Let a(d) = 11*d**2 + 3*d - 5. Let q(y) = 11*y**2 + 2*y - 4. Determine -4*a(w) + 5*q(w).
11*w**2 - 2*w
Let y(t) = -2*t + 13. Let h(q) = q - 6. Let m(s) = 13*h(s) + 6*y(s). Let b(x) = 2. What is -b(l) + m(l)?
l - 2
Suppose 5*v = 5*m + 3 + 12, 3 = v - 4*m. Suppose -i + 12 = -2*t - 6*i, v*i = -6. Let s(b) = b**2 - 2*b - 5. Let a(j) = 1. Determine t*s(z) - 5*a(z).
-z**2 + 2*z
Let x(i) = 11*i + 1. Let l(c) = -c. What is -l(y) + x(y)?
12*y + 1
Let x(c) = -c + 5. Let y be x(9). Let z(g) = 8*g + 3. Let r(p) = 7*p + 2. Determine y*z(u) + 5*r(u).
3*u - 2
Let o(v) = -2*v**3 - v**2 - 3*v - 3. Let j(w) = w**3 + w**2 + 1. Calculate j(t) + o(t).
-t**3 - 3*t - 2
Let b(m) = -m. Let j(n) = n - 1. Suppose -7*f + 2*f - 32 = -4*s, 3*f = -4*s. Determine f*b(q) - j(q).
3*q + 1
Suppose -m - 2*m = 2*u + 5, 2*u + 40 = 4*m. Let x be (u/(-8))/((-2)/16). Let n(s) = s**3 - 1. Let r(z) = -4*z**3 + z**2 + 5. Give x*n(k) - 2*r(k).
-2*k**3 - 2*k**2
Let q(b) be the first derivative of -b**4/2 - 2*b**3/3 + 5*b - 14. Let i(c) = c**3 + c**2 - 2. Calculate 7*i(g) + 3*q(g).
g**3 + g**2 + 1
Let t(k) = -4*k**2 - 6*k + 5. Let c(q) = 4*q**2 + 7*q - 5. Calculate 4*c(d) + 5*t(d).
-4*d**2 - 2*d + 5
Let z(b) be the first derivative of -11*b**2/2 + 11*b + 2. Let r(p) = -5*p + 5. Let i(f) = -f**3 - 7*f**2 + 8*f + 6. Let s be i(-8). Determine s*z(w) - 13*r(w).
-w + 1
Let q(n) = -4*n**2 + 4*n - 3. Let x(j) = -16*j**2 + 15*j - 11. Determine -22*q(l) + 6*x(l).
-8*l**2 + 2*l
Suppose -4 + 6 = a. Let u(b) = -3*b + 3 - 3. Let p(g) = g. Let c(k) = k**3 + 3*k**2 - 2*k - 1. Let n be c(-3). Calculate a*u(m) + n*p(m).
-m
Let z(c) = -8*c**2 - 7. Let s(a) = -2*a + 4. Let g be s(9). Let u = -8 - g. Let i(r) = 9*r**2 + 8. Determine u*i(f) + 7*z(f).
-2*f**2 - 1
Let b = -23 - -12. Let o(a) = -7*a - 2. Let q(u) be the first derivative of -2*u**2 - u + 20. Give b*q(d) + 6*o(d).
2*d - 1
Let i(u) = u**3 + u**2 + 1. Let q(s) = s**3 + 2*s**3 + s**3 + 2*s**2 + 2 - 5*s**3. Suppose -b + 2 = 3*x - 0*b, -3*b - 3 = 0. Give x*q(m) - 2*i(m).
-3*m**3
Let z(h) = -7*h + 8. Let w(l) = l + 1. Let t(v) = -15*v + 13. Let s(g) = -t(g) - 2*w(g). Let c = 6 + 0. What is c*s(a) + 11*z(a)?
a - 2
Let i(f) = -17*f. Let u(g) = 52*g. What is -16*i(d) - 5*u(d)?
12*d
Let t(f) = -f**3 + 7. Let h(m) = -2*m**3 + 15. Determine -6*h(p) + 11*t(p).
p**3 - 13
Let j(b) = 7*b - 5. Let i(n) = n. Let t(o) = 6*o + 2. Let c(r) = -18*i(r) + 2*t(r). Give 5*c(k) + 4*j(k).
-2*k
Let d(s) = 3*s**2 - 11*s - 7. Let q(l) = -l**2 + 4*l + 2. Give 3*d(w) + 8*q(w).
w**2 - w - 5
Let l(z) = 2*z - 2. Let k(b) = -b + 1. Let v be (0 - 52/(-8)) + 2/4. Give v*k(x) + 3*l(x).
-x + 1
Let l(s) = -3*s - 14. Let c(o) = -2*o - 16. What is -4*c(q) + 5*l(q)?
-7*q - 6
Let q(z) = 1. Let w(h) = 68*h - 6. What is 6*q(t) + w(t)?
68*t
Let x(w) = 10*w. Let g(k) = 2 + 3 - 5 - 7*k. Calculate -7*g(l) - 5*x(l).
-l
Let r(b) = -b. Let q(w) = 3*w**3 + 6*w + 2. Let k(v) = 2*q(v) + 6*r(v). Let p(f) = -2*f - f**3 - 6*f**3 + 4 - 5*f - 9. Give 6*k(u) + 5*p(u).
u**3 + u - 1
Let j(x) = 21*x - 5*x + 0*x - 6. Let b(w) = 5*w - 2. Let m be 6/(-4)*1*-2. Calculate m*j(i) - 10*b(i).
-2*i + 2
Let d(v) = 7*v**3 - 2. Let a(x) = -20*x**3 + 6. Calculate 6*a(n) + 17*d(n).
-n**3 + 2
Let u(m) = -2*m**2 + 1. Let h(w) = -1. Determine -3*h(b) - u(b).
2*b**2 + 2
Let q(l) = l**3 - 2*l**2 - 3*l. Suppose -w - 5*b - 29 = 0, -3*w - b = 3*b + 54. Let t(f) = -3*f**3 + 7*f**2 + 10*f. Let i = -12 - -8. What is i*t(s) + w*q(s)?
-2*s**3 + 2*s
Suppose 0 = -4*a + 2*a + 2. Let i(v) = v + 1. Let h(l) = 6*l - 3. Let o(m) = 1. Let d = 2 + -1. Let u(z) = d*h(z) + 6*o(z). What is a*u(s) - 4*i(s)?
2*s - 1
Let k(g) = g**3 + 4*g**2 - 3*g + 9. Let u be k(-5). Let m(r) = -r + 1. Let v(b) = -8*b + 9. Give u*v(x) + 6*m(x).
2*x - 3
Let u(h) = -h**2 - 1. Suppose 0*p + 2*p - 4 = 0. Let l(w) = 8*w**p + 2*w + 0 - 6*w**2 + 3. Calculate l(q) + 3*u(q).
-q**2 + 2*q
Let w(j) be the second derivative of -j**3/3 - 5*j**2/2 - j. Let z(n) = 3*n + 6. Suppose 6*a + 3 + 27 = 0. What is a*z(t) - 6*w(t)?
-3*t
Suppose 8 - 2 = 2*p. Let y(u) = -7 - 7 + 13*u**p + 3. Let v(d) = -7*d**3 + 6. Give 11*v(g) + 6*y(g).
g**3
Let z(p) = -p**3 - 5*p**2. Let c(s) = -5*s**3 - 30*s**2. Give 6*c(a) - 35*z(a).
5*a**3 - 5*a**2
Let w(z) = -4*z**3 + z + 1. Let p(d) = 5*d**3 - 1. Give 5*p(j) + 6*w(j).
j**3 + 6*j + 1
Let f(a) = -a**2 - a - 2. Let j be f(0). Let g(v) = -4*v + 3. Let m(b) = b - 1. Let y(i) = -i + 2. Let q(k) = -4*m(k) - y(k). What is j*g(l) + 3*q(l)?
-l
Let b(g) = 3*g**3 + 4*g**2 - 2*g - 4. Let r(x) = -2*x**3 - 3*x**2 + 2*x + 3. Let d(w) = w**2 - 5*w - 9. Let k be d(6). Give k*b(v) - 4*r(v).
-v**3 - 2*v
Let s(k) = -6*k**2 - k - 1. Let g(a) = 11*a**2 + 2*a + 2. Give -3*g(p) - 5*s(p).
-3*p**2 - p - 1
Let x(i) = 8*i + 5. Let s(h) = -h**3 - 6*h**2 + 4*h - 3. Let g be s(-7). Let c(p) = 0*p + g*p + 9 - 4*p + p. What is -6*c(t) + 11*x(t)?
-2*t + 1
Let x(s) = 3*s**3 + 5*s**2 + 5*s - 6. Let f(k) = -3*k**3 - 5*k**2 - 4*k + 5. What is -5*f(j) - 4*x(j)?
3*j**3 + 5*j**2 - 1
Let d(q) = 3*q**3 - 5*q**2 - 2*q**3 - 2 - 3 + 3*q. Let k(h) = -h**3 + 3*h**2 - 2*h + 3. Give -3*d(l) - 5*k(l).
2*l**3 + l
Let b(k) = 19*k**2 - 3*k. Let a(q) = -38*q**2 + 7*q. Calculate 3*a(w) + 7*b(w).
19*w**2
Let m(h) = 11 - 14*h**3 + 30*h**3 - 5*h**3 + 2*h + 7*h - 11*h**2. Let v(t) = -5*t**3 + 5*t**2 - 4*t - 5. Give -4*m(i) - 9*v(i).
i**3 - i**2 + 1
Let f(p) = -2. Let c be (-1)/5 - (-99)/45. Let o = -6 - -20. Let k(a) = a + 14. Determine c*k(y) + o*f(y).
2*y
Let r(z) = z**2 - 4. Let c(l) be the third derivative of -l**5/60 + l**3/6 - l**2. Give -4*c(o) - r(o).
3*o**2
Let z(o) = -7*o - 13. Let w(m) = -4*m - 6. What is -5*w(b) + 2*z(b)?
6*b + 4
Let s(l) = -2*l**2 + 3*l**2 + 0*l**2. Let w = 15 + -9. Let p(q) = -16*q + 16*q - w*q**2. Calculate 2*p(j) + 11*s(j).
-j**2
Let g(p) = p**3 - 4*p**2 - 3*p + 3. Let s(l) = -l - 16*l**2 - l**2 + 13 + 4*l**3 - 12*l. Suppose -t - 5 = -1. Let b be 1*2 + 28 + t. Give b*g(v) - 6*s(v).
2*v**3 - 2*v**2
Let c(k) = 4*k - 2. Let u(a) = -1. Suppose 2*i + 67 - 69 = 0. What is i*c(m) - 2*u(m)?
4*m
Let r(i) = i - 2. Let f(d) be the second derivative of -d**3 + 11*d**2/2 + 4*d. Let o(u) = u**3 - 6*u**2 + 8*u - 4. Let p be o(5). Calculate p*r(k) + 2*f(k).
-k
Let z(q) be the third derivative of q**5/10 - 2*q**2. Let h(s) = 5*s**2. Let v = 6 + -10. What is v*h(n) + 3*z(n)?
-2*n**2
Let i(z) = -6*z**2 + 4. Let m(o) = 5*o**2 + 2*o - 3. Let v(w) = -4*w**2 - 3*w + 2. Let b(u) = 3*m(u) + 2*v(u). Give 4*b(p) + 5*i(p).
-2*p**2
Let v(i) = 3*i**2 - 5*i. Let a(d) = d. Let f(n) = n + 18. Let t be f(-13). Suppose 5*b + 0*z - 45 = 5*z, t*b = 3*z + 37. Calculate b*a(y) + v(y).
3*y**2
Let a(o) = -3*o**3 + 4*o**2 + 4*o + 4. Let n(f) = -18*f**3 + 9 + 12*f**3 + 9*f**2 + f + 8*f. Give 9*a(t) - 4*n(t).
-3*t**3
Suppose 0*m = 3*m + 2*c + 17, -5*m + 4*c = -1. Let b(a) = a - 3. Let s(i) = -4 + 2*i + 2 - 5. What is m*s(u) + 7*b(u)?
u
Let h(r) = 3*r**3 + 4*r**2 + 4. Suppose -8*s + 4*s = 2*u + 10, -2*s + 2 = 0. Let l(q) = 5*q**3 + 7*q**2 + 7. Calculate u*h(z) + 4*l(z).
-z**3
Let z(g) be the first derivative of 3*g**4/2 - 5*g**3/3 + 2*g**2 - 7*g - 1. Let s(m) = 3*m**3 - 3*m**2 + 2*m - 4. What is -5*s(a) + 3*z(a)?
3*a**3 + 2*a - 1
Let h(p) = -2*p - 2*p + 3*p. Suppose -5*m + 13 = 58. Let b = m + 10. Let c(g) = -2*g + 2. Calculate b*c(x) - 4*h(x).
2*x + 2
Let s(x) = 4*x**3 + 5*x**2 + 7*x + 4. Let a(r) = -r**2 - 2*r + 3. Let j be a(2). Let d(h) = -10 - 6 - 10*h - 7*h**2 - 2 + 12 - 6*h**3. What is j*d(g) - 7*s(g)?
2*g**3 + g + 2
Let y = 5 - 9. Let h(u) = -3*u**2 + 5*u + 5. Let r(b) = 3*b**2 - 4*b - 4. Determine y*h(i) - 5*r(i).
-3*i**2
Suppose -18*b - 14 = 4. Let w(u) = u**2 - 1. Let i(z) = 2*z - 5. What is b*i(v) + 5*w(v)?
5*v**2 - 2