- 4. Let a(s) = 8*s**3 + s**2 - 5. Give 4*a(p) - 5*t(p).
-3*p**3 - p**2
Let k(m) = m**2 - m. Let s(j) = -2*j**2 + 4*j. Give 20*k(q) + 5*s(q).
10*q**2
Let g(j) = -4*j + 12. Let k(r) = 4*r - 11. Let d(o) = 5*g(o) + 6*k(o). Let m(h) be the third derivative of -h**4/8 + 5*h**3/6 - h**2. Give 5*d(z) + 6*m(z).
2*z
Let l = 52 - 56. Let i(t) = -t. Let w(q) = -2*q + 1. Give l*i(g) + w(g).
2*g + 1
Let i(x) = -2*x**3 + 5*x - 5. Let l = -51 - -56. Let c(m) = 6 - 6*m + 0*m + 2*m**3 + 0*m. Determine l*c(o) + 6*i(o).
-2*o**3
Suppose -10*b - 78 + 18 = 0. Let t(j) = -21*j - 17. Let p(i) = 10*i + 8. Calculate b*t(s) - 13*p(s).
-4*s - 2
Let s(k) = 2*k - 2. Let z(w) = -w + 1. Calculate s(x) + 3*z(x).
-x + 1
Let g(y) be the first derivative of 0*y - 4/3*y**3 - 9/2*y**2 - 9/4*y**4 - 7. Let j(t) = 5*t**3 + 2*t**2 + 5*t. What is -3*g(p) - 5*j(p)?
2*p**3 + 2*p**2 + 2*p
Let p(h) = 1496*h - 68. Let j(x) = 65*x - 3. Determine -68*j(l) + 3*p(l).
68*l
Let f(j) = j + 1. Let a be f(8). Let k(w) = -11*w. Let r(l) = 5*l. Determine a*r(h) + 4*k(h).
h
Let a(b) = -3*b**3 - b**2 - 1. Suppose 3*j - 8 = 1. Let v(i) = 5 + 0*i**3 + i**2 - i**j - 6 + 2*i**3. Determine a(d) + v(d).
-2*d**3 - 2
Let r(m) = -2. Let b = 7 - 3. Let s(o) = -o + 0 + 4 - b - 4. Calculate 5*r(g) - 2*s(g).
2*g - 2
Let s be (4/(-6))/(2/(-21)). Let m be ((-17)/(-34))/(2/(-24)). Let i(x) = -7*x**2 - 2*x + 7. Let f(w) = -8*w**2 - 2*w + 8. Give m*f(v) + s*i(v).
-v**2 - 2*v + 1
Let p(u) = -1. Let f(h) = -h + 35. Determine f(x) + 5*p(x).
-x + 30
Let s(g) = 10*g. Let i(j) = 20*j. Determine -3*i(m) + 7*s(m).
10*m
Let a(r) = -r**2 + 3*r - 3. Let h(o) = 0*o + 1 - o - 5*o + 5*o. Calculate -a(g) - 3*h(g).
g**2
Let y(m) = 365*m**2 - 55*m + 55. Let a(d) = 26*d**2 - 4*d + 4. Give -55*a(r) + 4*y(r).
30*r**2
Let l(w) = 2*w - 4. Let d(y) = 2*y - 3. Let o be (-12)/(-8)*24/(-9). Give o*d(b) + 3*l(b).
-2*b
Let k(u) = -29*u + 17. Let d(b) = 7*b - 4. Calculate 9*d(a) + 2*k(a).
5*a - 2
Let l(u) = 2*u - 6. Let w(r) = -2*r + 5. What is 6*l(c) + 7*w(c)?
-2*c - 1
Let k(q) be the second derivative of q**2/2 - 17*q. Let m(s) = -s**2 + 5. Determine -5*k(c) + m(c).
-c**2
Let c(g) = 16*g - 5. Let d(t) = 24*t - 8. Give -8*c(k) + 5*d(k).
-8*k
Let d(q) = 100*q + 2 - 53*q - 54*q. Let a(m) = -8*m + 2. Calculate -6*a(c) + 7*d(c).
-c + 2
Let b(q) = -2*q**2 - 247*q + 246*q - 2*q**2 - 2. Let r(v) = -5*v**2 - 2*v - 3. Determine 4*b(l) - 3*r(l).
-l**2 + 2*l + 1
Let d(j) = 3*j**2 - 4. Let q(p) = -7*p**2 + 9. Let k be -6 - -1*(-9)/3. What is k*d(f) - 4*q(f)?
f**2
Let b be 7/4 + (-11)/(-44). Let l(r) = 0*r**2 - r + 0*r**b + 1 + r**2. Let h(d) = -7*d**2 + 4*d - 6. Determine -h(v) - 6*l(v).
v**2 + 2*v
Let j(x) = -8*x**2 + 5. Let u(s) = 20*s**2 - 12. Give 12*j(c) + 5*u(c).
4*c**2
Let n(k) = k**3 + k + 1. Let m(j) = -2*j**3 + 3*j**2 - 3*j - 4. What is -m(v) - 3*n(v)?
-v**3 - 3*v**2 + 1
Let m(s) be the first derivative of -s**3/3 + s**2/2 - s + 7. Let v(c) = 6*c**2 - 4*c + 4. Give 4*m(l) + v(l).
2*l**2
Let p(c) = -9*c**2 + 2*c - 15. Let k(h) = 4*h**2 - h + 7. What is 13*k(t) + 6*p(t)?
-2*t**2 - t + 1
Let v(b) = 12*b**2 - 12*b - 6. Let q(y) = 4*y**2 - 4*y - 2. Calculate 16*q(d) - 5*v(d).
4*d**2 - 4*d - 2
Let s(f) = -5 + 1 + f + 0*f. Let q(a) = -a**3 + a**2 + 2*a - 4. Let d be q(0). Let u(n) = -n + 5. What is d*s(y) - 3*u(y)?
-y + 1
Let a(i) = 10*i**2 + 12*i + 10. Suppose 2*w + 2*g = 7*w + 11, -2*g + 5 = w. Let v(n) = -n**2 - n - 1. Determine w*a(f) - 12*v(f).
2*f**2 + 2
Let p(r) = 5*r**3 + 3*r**2 - 5*r + 6. Let y(m) = -m**3 - m**2 + m - 1. Give p(g) + 6*y(g).
-g**3 - 3*g**2 + g
Let l(t) = 35 - 29 - 5 - t**2. Let p(c) = 6*c**2 - 3. Let u(d) = -d**3 + 7*d**2 - d + 9. Let q be u(7). Let i be 2/(-1*q) + 5. Determine i*l(g) + p(g).
2*g**2 + 1
Let c(b) = b. Let j be 2/3 - 5/3. Let g(i) = -6*i - 2. Calculate j*g(r) - 5*c(r).
r + 2
Let m(a) = a**3 - 1. Let n(h) = 5*h**3 + 2*h**2 - 5. Suppose -5*w + 3 = -4*p, 2*w - 3*p - 2*p = 8. Determine w*n(c) + 6*m(c).
c**3 - 2*c**2 - 1
Let t(g) = 0*g - g - g. Let s(x) = 1. Let i(o) = -2. Let y(h) = i(h) + 3*s(h). Give -t(k) + 2*y(k).
2*k + 2
Let v(z) = -1. Suppose 4*x = -h + 4, 5*h = 4*h. Let c = 12 + -9. Let y(t) = 0 + 4*t + 0 - c*t. Calculate x*v(a) - 2*y(a).
-2*a - 1
Let l(f) = -19*f + 2. Let c(k) = -k. Determine -2*c(x) - l(x).
21*x - 2
Let x(h) = 2*h**2 - 3*h - 3. Let t(l) = 2*l - 10. Let f be t(7). Let j = f + -3. Let n(i) = -5*i - 6 + j + 4*i**2 + 0*i**2. Calculate -3*n(b) + 5*x(b).
-2*b**2
Suppose 3*g - 4*v + 3*v = 236, 0 = -3*v + 3. Suppose 0 = 5*w + g - 9. Let q(a) = 15 - 2 - 20*a**2 + 1. Let m(f) = -7*f**2 + 5. Give w*m(h) + 5*q(h).
-2*h**2
Let q(t) = -6*t**3 - 7*t + 2. Let b(f) = -3*f**3 - 3*f + 1. Give -14*b(d) + 6*q(d).
6*d**3 - 2
Let l = -31 - -35. Let b(u) = u + 1. Let c(f) = 3*f + 4. Determine l*b(w) - c(w).
w
Let i(f) = -f**2 + f + 2. Let t be i(2). Let h be (2 - 3 - t)*-1. Let v(z) = -1. Let s(o) = -o**2 - 2*o - 7. What is h*s(a) - 6*v(a)?
-a**2 - 2*a - 1
Let r(h) = -6*h - 5. Let w(g) = -g + 1. Calculate -r(i) - 4*w(i).
10*i + 1
Let f(v) = -1 + 4*v - 2 + v + 4. Let d(h) = 4*h + 1. Suppose -3 = 2*z + 3*t, 0 = z - t + 4*t + 6. What is z*d(o) - 2*f(o)?
2*o + 1
Let f(t) = -4*t**2 + 1 - 2*t**3 + 6*t + 1 + 1. Let g(o) = o**2 - o - 1. Let q be 6*(2/(-4) + 1). Let p be 1/(-3) - (-13)/q. What is p*g(a) + f(a)?
-2*a**3 + 2*a - 1
Let o(x) = -x - 2. Let j(w) = -w - 1. Calculate 4*j(z) - o(z).
-3*z - 2
Let c be ((-32)/(-40))/(4/(-10)). Let h(s) = -9*s**2 - 2*s - 4. Let v(d) = -4*d**2 - d - 2. Give c*h(g) + 5*v(g).
-2*g**2 - g - 2
Let r(x) = 4*x**3 - 5*x**2 - x - 5. Suppose 2*w - 14 = -2. Let y be w/((-3)/3) - -1. Let b(z) = -2*z**3 + 3*z**2 + z + 3. Determine y*b(a) - 3*r(a).
-2*a**3 - 2*a
Let y(c) be the first derivative of -c**4/2 + c**2/2 - 1. Let p be (-1)/(6/(-4) + 2). Suppose q = 11 - 9. Let o(z) = -z**3 + z. What is p*y(r) + q*o(r)?
2*r**3
Let z(w) = -w**3 - 7*w**2 + 5*w. Let p(d) = 2*d**3 + 8*d**2 - 6*d. What is -4*p(m) - 5*z(m)?
-3*m**3 + 3*m**2 - m
Let f(v) = 4*v + 2. Suppose -14*z + 8 = -34. Let m(b) = -7*b - 3. Determine z*m(n) + 5*f(n).
-n + 1
Let q(g) = 5*g**3 + 11*g. Let y(c) = c**3 + 2*c. Suppose 0 = -v - v + 2. Suppose -v - 1 = -m. Calculate m*q(z) - 11*y(z).
-z**3
Let l(k) = 1 - 6 - 20*k + 21*k + 0. Suppose -2*o + 3*o = -2. Let r(n) = -n + 4. Determine o*l(g) - 3*r(g).
g - 2
Let l(s) be the first derivative of -s**3/3 - s + 18. Let z(d) = -4*d**2 - 9. Give 6*l(u) - z(u).
-2*u**2 + 3
Let t = 95 + -90. Let n(r) = -7*r**3 - 5*r - 5. Let v(p) = -2*p - 1 + 0*p**3 - 1 - 3*p**3. Determine t*v(i) - 2*n(i).
-i**3
Suppose 0 = 4*b + 2*b + 6. Let g(z) = -z. Let t(j) = -j**3 + 2*j + 1. Give b*t(i) - 4*g(i).
i**3 + 2*i - 1
Let m(p) = 2*p - 5. Let j be -5*(4 - 9)/5. Let z(w) = -w + 3. Give j*m(l) + 8*z(l).
2*l - 1
Let k(o) = o**2 + 2*o - 2. Let r(b) = b**2 - 1. Calculate -2*k(g) + 4*r(g).
2*g**2 - 4*g
Suppose 3*v + v + 16 = 0. Let z(k) = -6*k**3 - 2*k**2 - 4*k - 3. Let n(l) = -l**3 - l - 1. Let d be (-1*1)/((-3)/3). Calculate d*z(w) + v*n(w).
-2*w**3 - 2*w**2 + 1
Let c(p) = 5*p**2 + 4*p - 6. Let l(q) = -6*q**2 - 5*q + 5. Let w(z) = -31*z**2 - 26*z + 25. Let a(m) = 11*l(m) - 2*w(m). Give -6*a(h) - 5*c(h).
-h**2 - 2*h
Let a(c) be the third derivative of -c**6/15 - c**4/12 - 6*c**2. Let u(y) = -7*y**3 - 2*y. Give -5*a(o) + 6*u(o).
-2*o**3 - 2*o
Let b(k) = k**3 + 5*k**2 + 5*k. Let j(y) = y**3 + 6*y**2 + 6*y. Suppose -4*m + 30 = m. Give m*b(g) - 5*j(g).
g**3
Let h(y) = y. Let l = 18 - 8. Suppose l = -2*a - m, -5*m + m - 22 = 5*a. Let f = 4 + a. Let r(x) = -2*x**3 + 2*x**2 + 2*x. What is f*h(j) + r(j)?
-2*j**3 + 2*j**2
Let h(s) = -s**3 - 8*s**2 - 10*s - 17. Let v be h(-7). Let l(t) = -3*t**3 + 2*t**2 + 4*t. Let i(n) = 8*n**3 - 6*n**2 - 11*n. Calculate v*i(k) + 11*l(k).
-k**3 - 2*k**2
Let a(f) = 11*f**3 - 3*f**2 - 3*f. Let k(o) = 12*o**3 - 2*o**2 - 2*o. Calculate -2*a(g) + 3*k(g).
14*g**3
Let q(y) = -y. Let m(l) = 2*l**2 - 5*l + 3. Calculate m(f) - 3*q(f).
2*f**2 - 2*f + 3
Let k(h) = 4*h - 10. Suppose -2*d - d - 42 = 0. Let g(f) = -2 + f + 0*f - 1. Determine d*g(z) + 4*k(z).
2*z + 2
Let d(s) = -s**3 + 3*s**2 - s - 3. Let z = 1 - -3. Let u(h) be the first derivative of h**2 - 4/3*h**3 + 5 + 1/4*h**4 + 4*h. Calculate z*d(f) + 3*u(f).
-f**3 + 2*f
Let u(h) = -1. Let t(p) be the second derivative of p**6/360 + p**5/10 - 5*p**4/12 - 5*