 - 1. What is 6*a(u) - 5*p(u)?
3*u**2 - 2*u - 1
Let p(h) = 6*h + 3. Let z(d) = 2*d + 1. Suppose t + 3*i = -2*t + 15, -3*t - 3 = -3*i. Let x = 235 - 242. Give t*p(v) + x*z(v).
-2*v - 1
Suppose -5*b + 3*u = -14, -b - 3*u - 14 = 2*u. Let h(k) be the first derivative of -k**2/2 - k + 7. Let j(x) = x**2 + 6*x + 4. Give b*j(p) + 4*h(p).
p**2 + 2*p
Let w(p) be the third derivative of p**5/30 + p**2. Suppose 2*n - n = 7. Let g be (-23)/n - (-10)/35. Let a(b) = -2*b**2 + 1. Determine g*w(d) - 2*a(d).
-2*d**2 - 2
Let l(v) = 14*v**2 + 11*v - 11. Let a(g) be the third derivative of g**5/12 + g**4/6 - 2*g**3/3 + 4*g**2. Determine 17*a(f) - 6*l(f).
f**2 + 2*f - 2
Let o(z) = 4*z**3 + 3*z + 8. Let a(y) = -3*y**3 - 3*y - 7. Determine -6*a(p) - 5*o(p).
-2*p**3 + 3*p + 2
Let i(w) = 5*w**3 - 2*w**2 + 3*w. Let v(m) = m**2 + 1. Let r(c) = -11*c**3 + 9*c**2 - 7*c + 4. Let n(h) = r(h) - 4*v(h). Give 7*i(t) + 3*n(t).
2*t**3 + t**2
Let x(h) = -h. Let z(r) = -6*r. Calculate 44*x(f) - 6*z(f).
-8*f
Let u(r) = -36*r**2 - 9*r + 7. Let x(y) = 18*y**2 + 4*y - 3. What is -6*u(o) - 13*x(o)?
-18*o**2 + 2*o - 3
Let y(a) = 4*a. Suppose -6 = -2*j + 3*m, -j + 0*j - 5*m = -3. Let p(r) = -r + 0*r - r - j*r. Determine 2*p(b) + 3*y(b).
2*b
Suppose 4*b + 15 = -b. Let w(g) = -3*g - 3. Let u(l) be the first derivative of 9*l**2/2 + 8*l - 1. Give b*u(p) - 8*w(p).
-3*p
Let q(u) = -10*u - 6. Let l(t) = 3*t + 2. Suppose 37 + 11 = 3*k. What is k*l(a) + 5*q(a)?
-2*a + 2
Let k(c) = -19*c + 15. Let f(o) = -9*o + 7. Let p(i) = -2*i**3 + 3*i**2 - 2. Let l be p(2). Determine l*k(x) + 13*f(x).
-3*x + 1
Let h(g) = 5*g**3 + 8*g**2 + 6*g + 5. Let j(m) = m**2 + m + 11. Let v be j(0). Let c = v - 19. Let l(d) = -3*d**3 - 5*d**2 - 4*d - 3. What is c*l(w) - 5*h(w)?
-w**3 + 2*w - 1
Let l(b) = 3*b**3 + 2*b**2 + 9. Let w(h) = 16*h**3 + 10*h**2 + h + 45. Calculate -11*l(s) + 2*w(s).
-s**3 - 2*s**2 + 2*s - 9
Let y(f) be the second derivative of -2*f + 0 - 3/2*f**2 + 1/10*f**5 + 0*f**3 + 1/4*f**4. Let k(v) = -v**3 - 2*v**2 + 2. Give 3*k(q) + 2*y(q).
q**3
Let c(d) = 2*d - 5. Let u(g) = -3*g + 6. Suppose 15 = m - 3*m - q, 3*m + 24 = -2*q. Let r be ((-15)/m)/((-1)/(-2)). What is r*c(s) + 4*u(s)?
-2*s - 1
Let z be (-10)/((-1)/(-3)*3). Let l(n) = -7*n - 2. Let m(b) = 1 - 3*b - 6 + 1 + 3. Let f(t) = -5*t - 1. Let c be f(-1). Determine c*l(h) + z*m(h).
2*h + 2
Let l(m) = -1. Let h = 53 + -51. Let p(x) = x + 2. Let a be -2*(-2)/(-12)*-15. Calculate a*l(t) + h*p(t).
2*t - 1
Let f(c) = 2*c**2 - 4*c + 11. Let r(s) = s**2 - 2*s + 6. Suppose x - 293 = 3*y, y - x - 36 + 137 = 0. Let w be y/15 + 2/5. What is w*f(n) + 11*r(n)?
-n**2 + 2*n
Suppose 0 = -3*j - 4*k + 7, 0 = -2*j - 3*k + 4 + 1. Let t = -11 - -3. Let c(l) = l**3. Let w(n) = 0*n**3 + 5*n**3 + n**3. Calculate j*w(i) + t*c(i).
-2*i**3
Let j(b) = -6*b**3 + 2*b + 2. Let v(u) = u**3 - u - 1. Let a(y) = y**2 - 13*y - 15. Let i be a(14). Calculate i*j(l) - 2*v(l).
4*l**3
Let h(c) be the second derivative of 2*c**3/3 + 9*c**2/2 + 2*c. Let v = -24 + 28. Let q(g) = -g - 2. Determine v*h(k) + 18*q(k).
-2*k
Let d(j) = 2. Suppose -3*l + 13 + 12 = -5*u, 0 = -4*u - 2*l + 2. Let s(n) = n - 1. Determine u*d(o) - 4*s(o).
-4*o
Let i(n) = -4. Suppose -2*f - 2*f = -8. Let v(m) = m + 9. Suppose j = -1 + 6. Determine f*v(u) + j*i(u).
2*u - 2
Let d(j) = -4*j - 5. Let w(u) = 3*u + 4. Let r(i) = -8*i**3 + 1. Let v be r(-1). Let l be (-4)/14 - 558/(-42). Let c = v - l. Determine c*d(m) - 5*w(m).
m
Suppose 0 = 3*j - u - 19, u = -3*j - 2*u + 3. Let i(y) = 2*y - 3. Let b(k) be the second derivative of -k**3/2 + 5*k**2/2 - 3*k. Determine j*i(z) + 3*b(z).
z
Let o(v) = -v - 1. Let l(s) = -4*s**3 + 7*s**2 - 6*s - 6. Let i(h) = h**3 - 2*h**2 + 2*h + 2. Let c(q) = 7*i(q) + 2*l(q). Give -3*c(t) - 6*o(t).
3*t**3
Let d(f) = -2*f - 13. Let a(m) = m + 6. What is -9*a(r) - 4*d(r)?
-r - 2
Let i(b) = -4*b**2 - 3*b + 6. Let n(f) = f**2 + f - 7. Let l(q) = -2. Let y(v) = 8*l(v) - 3*n(v). Calculate -5*i(a) + 6*y(a).
2*a**2 - 3*a
Let v(b) = b**2 + 10*b + 5. Let k be v(-9). Let j(h) = 15*h**3 + 9*h**2 + 11. Let x(m) = 7*m**3 + 4*m**2 + 5. Calculate k*j(c) + 9*x(c).
3*c**3 + 1
Let i(z) = z - 5. Let p(t) = t - 15. Let s(m) = -m + 16. Let f(v) = -7*p(v) - 6*s(v). Give -4*f(l) - 7*i(l).
-3*l - 1
Let k(g) = -6*g**3 - 4*g**2 - 2*g + 4. Let h be (3/2)/(6/12). Let i(n) = 5*n**3 + 3*n**2 + n - 3. Determine h*k(v) + 4*i(v).
2*v**3 - 2*v
Let j(p) = -2*p**2 - 6*p. Let z(g) = 4*g**2 + 11*g. Let c = 32 - 23. Let m = c - 20. What is m*j(n) - 6*z(n)?
-2*n**2
Let c(p) = 8*p**2 - 6*p. Let f(w) = 7*w**2 + 5*w. Let a(x) = 15*x**2 + 11*x. Let s(t) = -6*a(t) + 13*f(t). Determine c(h) - 6*s(h).
2*h**2
Let w(o) = o - 1. Let d(u) = -2*u**2 + 5*u - 5. Give -3*d(y) + 15*w(y).
6*y**2
Let n(b) = 4*b + 0*b - b + 2*b**2 - 4*b + 3. Let t(i) = -1. Determine -n(z) - 2*t(z).
-2*z**2 + z - 1
Let t(c) = -26*c**3 - 6*c + 6. Let p(l) = 25*l**3 + 5*l - 5. What is 6*p(n) + 5*t(n)?
20*n**3
Let c(d) be the first derivative of d**2 - 5*d + 56. Let r(t) = -t + 1. What is -c(v) - 5*r(v)?
3*v
Let m(i) = i + 6. Let v(p) be the first derivative of -p**2 - 11*p - 4. Calculate -5*m(d) - 3*v(d).
d + 3
Let l(z) = 9*z**3 + 8*z**2 + 5*z + 5. Let x(r) = -8*r**3 - 7*r**2 - 4*r - 4. Determine -4*l(w) - 5*x(w).
4*w**3 + 3*w**2
Let w(y) = -11*y**2 - 3*y - 17. Let z(x) be the third derivative of -x**5/15 - x**4/24 - x**3 + 10*x**2. What is 3*w(c) - 8*z(c)?
-c**2 - c - 3
Let u(z) = 7*z + 1. Let k(l) = 4*l + 1. Let p(s) = -5*k(s) + 3*u(s). Let o(r) = 2*r - 3. Calculate -3*o(b) + 5*p(b).
-b - 1
Let r(d) = -6*d + 17. Let z(i) = -4*i + 11. Let s = 137 - 129. What is s*z(b) - 5*r(b)?
-2*b + 3
Let p(g) = -10*g + 2. Let b be p(-2). Let m(h) = -h. Let l(c) = 0 + 1 - 7*c - 3*c. Determine b*m(r) - 2*l(r).
-2*r - 2
Let u(h) = -h**3 - 2*h**2 + 1. Let k(v) = v**2 - v - 1. What is -2*k(y) - u(y)?
y**3 + 2*y + 1
Let k(o) = 2*o**3 + 5*o**2 - 7. Let c(y) = y**3 + 6*y**2 - 2*y - 8. Let i(t) = t**3 + 7*t**2 - 3*t - 9. Let u(b) = 3*c(b) - 2*i(b). Determine 4*k(h) - 5*u(h).
3*h**3 + 2
Let x(w) = -104*w**2 + 78*w. Let g(o) = o**2 - o. What is -78*g(i) - x(i)?
26*i**2
Let j(n) be the first derivative of 5*n**2/2 - 6*n + 1. Let i(g) = 2*g + 1. Let s be i(-2). Let b(t) = -2*t + 2. Give s*j(r) - 8*b(r).
r + 2
Let a(x) = -5*x + 67. Let p(s) = -9*s + 133. Calculate -7*a(q) + 4*p(q).
-q + 63
Let v(a) = -5*a**3 - 8*a + 3. Let d(u) = -8*u**3 - 12*u + 5. Let o(r) = 5*d(r) - 7*v(r). Let k(i) = -i + 1. Calculate -4*k(h) + o(h).
-5*h**3
Let m(t) = t**3 - 7*t**2 - 9*t + 3. Let x be m(8). Let q(v) = 3*v + 3. Let r(o) = -6*o - 5. Give x*q(u) - 3*r(u).
3*u
Let q(i) = -i**3 - i**2 + i. Let m(x) = 7*x**2 - 7*x. Calculate -2*m(w) - 14*q(w).
14*w**3
Let d(j) = 9*j**2 - 4*j - 4. Let t(i) = -100*i**2 + 45*i + 45. Calculate 45*d(p) + 4*t(p).
5*p**2
Let l(h) = h - 1. Let w(f) = 11*f - 14. Let s(z) = -21*z + 27. Let m(b) = 6*s(b) + 11*w(b). Determine -4*l(i) - m(i).
i - 4
Let z(v) = v**2. Let g = -2 - -3. Let o(f) = -5*f**2 + 2. Suppose 2*n - 195 = -n. Let d be n/10 - 1/2. What is d*z(i) + g*o(i)?
i**2 + 2
Let x(q) = q - 2. Suppose 0 = 4*d + 4*o - 2*o - 158, 122 = 3*d + 5*o. Let z(k) = -6*k + 13. Calculate d*x(b) + 6*z(b).
3*b
Let f(n) = 4*n + 12. Let i(a) = -a - 1. Determine -f(g) - 6*i(g).
2*g - 6
Let a(h) = h. Let r(m) = 12*m**2 - 60*m. What is 60*a(t) + r(t)?
12*t**2
Let t(i) = -11*i + 5. Let o(v) = 9*v - 4. Let c(p) = 6*o(p) + 5*t(p). Let a(w) = 6*w**2 - 12*w + 12. Determine a(g) - 12*c(g).
6*g**2
Let h be (-81)/(-18) - (-3)/2. Let c(b) = -11*b + 23. Let j(a) = 2*a - 4. Determine h*c(r) + 34*j(r).
2*r + 2
Let z(l) = -7 - 5*l - 31*l**3 + 14*l**3 + 2. Let t(j) = 4*j**3 + j + 1. Give 9*t(k) + 2*z(k).
2*k**3 - k - 1
Let v(r) = 4*r + 6. Let h = -47 - -21. Let j = h - -20. Let m(b) = 5*b + 7. Give j*v(p) + 5*m(p).
p - 1
Let o(s) = 3*s**2 + 5*s - 5. Let m(v) = -v + 1. Let b be m(6). Let r(y) = -2 - 1 + 5 - 4*y + 2 - 2*y**2. Calculate b*r(f) - 4*o(f).
-2*f**2
Let k(b) = -4*b**3 - 6*b**2. Let y(o) = -12*o**3 - 17*o**2 - o. Calculate 17*k(t) - 6*y(t).
4*t**3 + 6*t
Suppose q = -2*i + 22, q - 46 + 12 = -3*i. Suppose -4*f = -f - i. Let w(l) = -5*l**3 - 4*l. Let r(g) = g**3 + g. What is f*r(c) + w(c)?
-c**3
Let r(g) = 5*g. Let m(a) = -26*a. Let q = 9 - 6. Determine q*m(t) + 16*r(t).
2*t
Let o(k) = 3*k**2 - 7*k + 4. Let w(c) = 4*c