m(w) - 6*p(w).
2*w - 2
Suppose -29 = 2*c + 2*c + 5*q, 4*c - 6 = 2*q. Suppose 5*b = 3*p - 35, p + 3 = -2*b - 0*b. Let x(o) = 0*o - 2*o - 6 + p. Let d(l) = l. Calculate c*x(f) - 3*d(f).
-f + 1
Let q(u) = 2*u - 2. Let l(t) = 2*t - 2. Determine 7*l(x) - 6*q(x).
2*x - 2
Let x(h) = -19*h - 4. Let o(w) = 95*w + 19. Give -4*o(g) - 19*x(g).
-19*g
Let f(z) = -21*z**3 + 2*z**2. Let n(r) = 106*r**3 - 11*r**2. Give 11*f(j) + 2*n(j).
-19*j**3
Let q(x) = x**2 + x + 1. Suppose 1 = 3*p - 2. Let s be p/(2/(-44))*-1. Let z(v) = -10*v**2 - 11*v - 11. What is s*q(h) + 2*z(h)?
2*h**2
Let j(a) = a**2 - 4*a + 3. Let h(m) be the first derivative of 4*m**3/3 - 17*m**2/2 + 13*m + 11. Calculate -2*h(t) + 9*j(t).
t**2 - 2*t + 1
Let o(h) = -h. Let m(n) = 2*n**3 + 2*n**2 + 4*n. Give -m(l) - 6*o(l).
-2*l**3 - 2*l**2 + 2*l
Let n(p) = -5*p - 8. Suppose -25 - 15 = -5*o. Let i(u) = 3*u + 5. Give o*i(d) + 5*n(d).
-d
Let h(f) = -5*f**2 + 4*f - 21. Let l(y) = -11*y**2 + 9*y - 43. Give -7*h(o) + 3*l(o).
2*o**2 - o + 18
Let o(x) = 16*x**3 + 17*x + 9. Let v(i) = 4*i**3 + 4*i + 2. Give 4*o(g) - 18*v(g).
-8*g**3 - 4*g
Let i(a) = 26*a**2 + 6*a. Let y(c) = 5*c**2 + c. Determine 3*i(n) - 16*y(n).
-2*n**2 + 2*n
Let p(c) = -c - 1. Let g(m) = -35*m - 20. Determine g(a) - 20*p(a).
-15*a
Let z = -2 + 4. Let w(o) = 4*o**2 + 2*o - 2. Suppose 6 = 2*c + 2. Let r(f) = -3 - 10*f - 21*f**c + 3 + 0*f**2 + 11. What is z*r(t) + 11*w(t)?
2*t**2 + 2*t
Let b(o) = 3*o**2 + 2*o**3 - 4*o**2 - o - 2 + 5*o**2. Let k(n) = -3*n**3 - 5*n**2 + n + 3. What is 5*b(p) + 4*k(p)?
-2*p**3 - p + 2
Let y(c) = -2*c + 3. Suppose 2*u + 3*n = 11, 5*u - 6 - 17 = -3*n. Let j(q) = -1. What is u*j(k) + y(k)?
-2*k - 1
Suppose 2*j - 4 = 3*j. Let n(s) = -7*s. Let i(g) = -6*g. Let p = 1 + 2. Suppose 0 = p*y + 5*a, 0 = -2*y + 3*a + 5 + 14. Calculate j*n(m) + y*i(m).
-2*m
Let h(d) be the first derivative of 0 - d**2 + d + 2 - 5 - 1. Suppose -2 = 5*t - 17. Let a(i) = -2*i + 1. What is t*a(j) - 4*h(j)?
2*j - 1
Let t(a) = 3*a - 3. Suppose -2 = 2*p - p. Let l(n) = -1. Determine p*l(v) + t(v).
3*v - 1
Let a(l) = 6*l**2 - 6*l + 2. Let q(w) be the third derivative of w**5/60 - w**4/24 + w**3/6 - 6*w**2. What is a(r) - 4*q(r)?
2*r**2 - 2*r - 2
Let h(r) = 3*r**3 + 2*r**2 - 11*r. Let x(z) = -4*z**3 - 3*z**2 + 17*z. Give 7*h(n) + 5*x(n).
n**3 - n**2 + 8*n
Let s(l) = 3*l**2 - 3*l. Let y be s(2). Let k(m) = -4*m**2 - 7*m - 7. Let u(q) = q**2 + q + 1. Give y*u(g) + k(g).
2*g**2 - g - 1
Let c be (-1 - -2) + -12 + 0. Let q(v) = 9*v**2 + 11*v. Let p(k) = -3*k**2 - 4*k. Give c*p(n) - 4*q(n).
-3*n**2
Let y(b) = 9*b**3 - 7*b + 7. Let c(g) = -g**3 - g - 3. Let t be c(0). Let p(f) = -4*f**3 + 3*f - 3. What is t*y(m) - 7*p(m)?
m**3
Let t(f) be the second derivative of -1/3*f**3 + 0 + 5*f - 3/2*f**2. Let s(q) = -5*q - 8. Give 3*s(o) - 8*t(o).
o
Let h(n) = -12*n**3 + 15*n**2 + 15*n - 15. Let r be 29/9 + (-8)/36. Let k(y) = 4*y - 3 + 4*y**2 - 20*y**3 + 17*y**r - 1. What is -4*h(v) + 15*k(v)?
3*v**3
Let y be (2/(-3))/(12/(-90)). Let v(s) = 6*s. Let l(k) = -3*k. Give y*l(g) + 3*v(g).
3*g
Let g(s) = s**2 - 2*s - 2. Let h(d) be the second derivative of -d**4/12 + d**3/6 - 2*d. Calculate g(i) + 3*h(i).
-2*i**2 + i - 2
Let s be ((-16)/28)/(2/(-21)). Let l(a) = 9*a - 5. Let f(h) = -10*h + 6. Give s*l(d) + 5*f(d).
4*d
Let z(p) = 6*p**2 + 9*p + 3. Let u(o) = 5*o**2 + 8*o + 3. Give -7*u(q) + 6*z(q).
q**2 - 2*q - 3
Let n(z) = -z - 2. Let o(u) = -u - 1. What is -3*n(t) + 4*o(t)?
-t + 2
Suppose -q + 4*q = 9. Let w(l) = -2*l**3 + 3*l**q + 4*l**3 - l**2 - 6*l**3. Let f(x) be the second derivative of -3*x**5/20 - x**4/4 + 2*x. Give -f(u) + 2*w(u).
u**3 + u**2
Let r(j) = j**2 - j - 1. Let n(o) = -7 + 7*o**2 - 7*o + 1 + 3*o. Let q = 15 + -9. Calculate q*r(k) - n(k).
-k**2 - 2*k
Let w(r) = 7*r - 7. Let t(s) be the third derivative of 5*s**4/12 - 5*s**3/3 - s**2. Suppose -3*d + 20 = 2*d + 5*q, -5*q = 5. Calculate d*t(z) - 7*w(z).
z - 1
Let v(b) = -b**3 + 9*b**2 - 17*b - 7. Let o(k) = 2*k**2 - 4*k - 2. What is 9*o(q) - 2*v(q)?
2*q**3 - 2*q - 4
Let y = 13 + -9. Suppose -y*i - 3 = -4*u + 1, -50 = 5*i + 4*u. Let x(r) = -4*r**3 - 2*r - 15. Let m(o) = 2*o**3 + o + 7. Give i*x(a) - 13*m(a).
-2*a**3 - a - 1
Let u(t) = t. Let z(w) = -6*w - 3. Let d(q) = -12*q - 5. Let k(a) = 3*d(a) - 5*z(a). Give 4*k(j) + 21*u(j).
-3*j
Let g(i) = 2*i**2 - 2*i + 7. Let v(l) = l**2 + 1. Determine g(f) - 3*v(f).
-f**2 - 2*f + 4
Let z(b) = -b - 7. Let y = 2 - 12. Let v = y - -7. Let g(f) = -f - 4. Determine v*z(h) + 5*g(h).
-2*h + 1
Let t(a) = -21*a + 9. Suppose -3*b - 57 = -5*n, 3*n - 7*n = 3*b - 24. Let g(l) = -5*l + 2. Calculate n*g(x) - 2*t(x).
-3*x
Let c(z) = 4*z**2 - 2*z + 1. Let g be c(1). Suppose g*j = -a - 1 - 1, -5*a + 1 = 4*j. Let l(y) = -y**2 + 1. Let b(u) = 4*u**2 - 4. Give j*b(o) - 3*l(o).
-o**2 + 1
Let n(p) = 2*p**3 - 2*p**2 + p + 2. Let c(j) = j**2 - j. Let l = 0 - -3. Suppose 0*k = -l*k + 3. Let r(u) = -u - 2. Let x be r(-3). Calculate k*c(m) + x*n(m).
2*m**3 - m**2 + 2
Suppose 0*r = 5*r - 45. Suppose -4*o = 1 - r. Let g(l) = -9*l**o + l + 4*l**2 - 4 + 3*l. Let n(t) = 9*t**2 - 7*t + 7. Determine 7*g(p) + 4*n(p).
p**2
Let p(i) = -i**2 + 11*i - 10. Let r(l) = 4*l - 3. What is -2*p(d) + 7*r(d)?
2*d**2 + 6*d - 1
Let g(k) = k + 5. Let u(j) = -4*j + 6. Let o(r) = -3*r + 6. Let l(x) = 6*o(x) - 5*u(x). Suppose -4*p + 6*p = -8. What is p*g(n) + 3*l(n)?
2*n - 2
Let x(a) = -2*a**3 - 13*a - 4. Let k(r) = -5*r**3 - 40*r - 11. Calculate -4*k(o) + 11*x(o).
-2*o**3 + 17*o
Let x(t) = 9*t - 8. Let q(h) = 2 - 3 - 1 + h + h. Let n(s) = -26*q(s) + 6*x(s). Let g(m) = 3*m + 7. Determine 3*g(c) - 5*n(c).
-c + 1
Let n(i) = -i**2 + i. Let o(c) = -45*c**2 + 25*c. Calculate 25*n(w) - o(w).
20*w**2
Let x(t) = -11*t - 2. Let d(k) = 637*k + 117. Calculate 2*d(w) + 117*x(w).
-13*w
Let a(h) = h - 2. Let l = -3 - 2. Let z(d) be the second derivative of d**3/6 - d**2/2 + 11*d. What is l*z(r) + 2*a(r)?
-3*r + 1
Let o(t) = 40*t**2 - 16. Let y(n) = -13*n**2 + 5. Determine 5*o(j) + 16*y(j).
-8*j**2
Let a(d) = -5*d - 1. Let s(p) = 6*p + 2. Give -3*a(h) - 2*s(h).
3*h - 1
Let y(b) = 2*b**3 - 2*b. Let v(f) = 7*f + 6. Let h(i) = -15*i - 13. Let s(q) = -6*h(q) - 13*v(q). What is -4*s(r) + 2*y(r)?
4*r**3
Let o(a) = a**2. Let s(c) be the third derivative of c**5/20 + c**3/6 - 3*c**2. Determine -5*o(j) + s(j).
-2*j**2 + 1
Let s = -32 + 33. Let c(d) = d - 3*d - 3*d**2 + 4*d - 5. Let p(h) = -h**2 + h - 1. What is s*c(m) - 4*p(m)?
m**2 - 2*m - 1
Let m(n) = -5*n - 9. Let l(h) = 1. Calculate -6*l(c) - m(c).
5*c + 3
Let u(i) = -i + 0 + 0*i - 9. Let q be ((-51)/34)/((-3)/14). Let f(y) = y + 8. Give q*f(c) + 6*u(c).
c + 2
Let h(p) = 4*p**2 - 2*p. Let o(t) = -20 - 8*t**2 + 5*t + 8 + 12. Determine -9*h(c) - 4*o(c).
-4*c**2 - 2*c
Let g(l) = -3*l**3 + 5*l**2 - 7. Suppose 4*p + 14 = -3*p. Let z(v) = v**3 - 2*v**2 + 3. What is p*g(q) - 5*z(q)?
q**3 - 1
Let d(q) = -q**3 + 3*q**2 + 3*q - 3. Let s be d(4). Let o(b) = -3*b + 6 + 6*b - 2*b + 5*b. Let z(l) = -2*l - 2. Calculate s*z(n) - 2*o(n).
2*n + 2
Let b(z) = z. Let h(k) = 97*k**2 + k. Determine b(s) - h(s).
-97*s**2
Suppose 0 = 4*k - 22 - 10. Let z = -7 - k. Let t(g) = 3*g**3 + 2*g + 2. Let h(b) = 21*b**3 + 15*b + 15. Determine z*t(s) + 2*h(s).
-3*s**3
Let g(n) = n**2 - n. Let a be g(0). Suppose a*l - f = 2*l, f = 3*l - 10. Let j(r) = -r**2 - 4*r + 4. Let i(t) = -t + 1. Calculate l*j(o) - 7*i(o).
-2*o**2 - o + 1
Let f(a) = -6 + 9 + 3 - 10*a. Let k(c) = 9*c - 5. Calculate 5*f(v) + 6*k(v).
4*v
Let a(s) = -5*s**2 - 6*s + 7. Suppose -9*w - 85 + 22 = 0. Let m(o) = -6*o**2 - 7*o + 8. What is w*a(n) + 6*m(n)?
-n**2 - 1
Suppose -4*f = -4 - 52. Suppose 5*c = -2*s - 15, -4*s + c = 5 + f. Let g(n) = n**3 + n + 3. Let y(v) = -2*v**3 - v - 5. Calculate s*g(h) - 3*y(h).
h**3 - 2*h
Let i(v) = -5 - 4 - 14*v**3 - 1 + 6*v + 9*v**3. Let r(t) = -4*t**3 + 5*t - 9. What is -6*i(c) + 7*r(c)?
2*c**3 - c - 3
Let h(b) = -b**3 + 2*b - 1. Let w(v) = -v**3 - v + 1. What is -h(q) - 3*w(q)?
4*q**3 + q - 2
Let t(w) = -7*w - 3. Suppose -y + 3*i + 21 = y, -5*i - 10 = 5*y. Let a(x) = -4*x - 2. Give y*t(q) - 5*a(q).
-q + 1
Let x(p) = p**2 + p + 1. Let u(g) = 4*g**2 + 6*g + 6. Calculate -u(c) + 6*x(c).
2*c**2
Let x(c) = -3*c**3 + 3*c**2 - 5*c + 7. Let g(a) = a**3 - a**2 + 2*a - 3. Suppose -9 + 1 = 4*t. Let l be (-19)/4 + 3/(-12). Calculat