rd derivative of 1/2*f**3 + 1/20*f**6 + 0 + 0*f - 7*f**2 + 0*f**4 + 0*f**5. Determine 2*b(n) + 7*i(n).
-2*n**3 - 1
Let t(n) = 3*n - 1. Let q(f) = 7*f - 2. Let b(c) = 2*q(c) - 5*t(c). Let l be 2/7 + (-45)/(-63). Let d(w) = 2*w**2 + 3*w - 7. Determine l*d(x) + 5*b(x).
2*x**2 - 2*x - 2
Suppose 12*a = 11*a + 8. Let w(p) = -6*p + 2. Let f(c) = c. Give a*f(b) + w(b).
2*b + 2
Suppose -v - 3 = 4*o, v = 5*o - 1 + 16. Let p(a) = 1. Let b(y) = y - 3. Give v*p(k) + b(k).
k + 2
Let k(v) = v. Let o(i) = -5*i + 2. What is 4*k(m) + o(m)?
-m + 2
Let o(f) = 5*f**2 + 5*f - 1. Let s(u) = 7*u**2 + 8*u - 2. What is 8*o(t) - 5*s(t)?
5*t**2 + 2
Let i(f) = -f**3 - f**2 - f + 1. Let g(m) = -3*m**3 - 4*m**2 - 4*m + 6. Calculate -g(y) + 4*i(y).
-y**3 - 2
Let k(f) = 6*f + 7*f + 1 - 4*f - 2. Let r(x) = -5*x + 1. Give 3*k(p) + 5*r(p).
2*p + 2
Let z = -78 + 81. Let i(w) = -w**3 + 1. Let o(n) = 0*n**2 - 2*n**3 + 0*n**2 + 4. Give z*i(j) - o(j).
-j**3 - 1
Let h(o) = -o + 1. Let i(n) = 5 + 0 - 1 - 5. Suppose 14 = m + 4*k, 0*m + 4 = -m + 2*k. Suppose -v - 2*q = -m*v + 6, 4*v = -3*q + 2. Determine v*h(t) + 2*i(t).
-2*t
Let v(f) = 21*f**2 + 17*f + 15. Let c(u) = -7*u**2 - 6*u - 5. Let o(j) = -8*c(j) - 3*v(j). Let p(x) = -6*x**2 - 2*x - 4. Give -4*o(w) + 5*p(w).
-2*w**2 + 2*w
Let x(z) = 0*z - 2*z + 6*z + 2 - 3*z. Let n(f) = 17 + 0*f - f + 5*f + 4*f. Determine -6*n(i) + 51*x(i).
3*i
Let z(q) = -q. Let d(x) = -37*x**2 - 2*x. Determine d(y) - 2*z(y).
-37*y**2
Let h(w) = -w + 4. Let j(n) = -3 + 5 - 3*n + 7. Let b(i) = 4*i**2 + i. Let z be b(1). Calculate z*h(d) - 2*j(d).
d + 2
Let b(u) = -10*u + 3. Let v = 11 + -9. Let z(q) = 1 + 3*q + 1 - 3. What is v*b(x) + 7*z(x)?
x - 1
Let i(y) = 8*y. Let q(p) be the second derivative of -7*p**3/6 + 3*p. Determine 5*i(f) + 6*q(f).
-2*f
Let o(h) = 3*h**3 + 17. Suppose 2*x = -5*p + p + 16, -4*x = p + 10. Let u(i) = -i**3 - 6. What is p*o(j) + 17*u(j)?
j**3
Let f(u) = u**3 - 2*u**2 - 11*u + 13. Let i be f(4). Let l(q) = q - 1. Let c(g) = 4*g + 1. Calculate i*c(j) + 2*l(j).
6*j - 1
Let p(g) = 7*g - 1. Let k(d) = -4 + 0*d + 1 + 6*d. Let y(i) = -1. Let q(u) = k(u) - 2*y(u). What is -5*p(v) + 6*q(v)?
v - 1
Let w(u) = -2*u**2 + 2*u - 1. Let b(c) = 3*c**2 - 2*c + 2. Let h be 7/(105/(-12))*-20. Suppose -3*z - h = z. What is z*w(j) - 3*b(j)?
-j**2 - 2*j - 2
Let a(d) = -16*d - 11. Let q(c) be the second derivative of c**3/2 + c**2 + 7*c. Let z = -1 - -3. Suppose -8 = z*o - 30. What is o*q(f) + 2*a(f)?
f
Let h(o) = -53*o - 3. Let j(x) = -18*x - 1. Calculate -4*h(v) + 11*j(v).
14*v + 1
Let m(x) = -21*x + 27. Let p(h) = -4 - 704*h + 707*h + 0. Give -4*m(y) - 27*p(y).
3*y
Let t(m) = 33*m**2 + 6*m - 6. Let v(p) = -660*p**2 - 121*p + 121. Give 121*t(a) + 6*v(a).
33*a**2
Let v be (-6)/((-2 + 4)/1). Let y(a) = -28*a - 20. Let p(s) = 4*s + 3. Calculate v*y(f) - 20*p(f).
4*f
Let f(w) = -3*w**3 - 6*w**2 - 6*w - 6. Let l(x) = -3*x**3 - 5*x**2 - 5*x - 5. Let a(r) = -r + 5. Let z be a(11). Calculate z*l(o) + 5*f(o).
3*o**3
Let v(i) = -i**2 + 3*i - 3. Let m(u) = 2*u**2 - 7*u + 7. Give -6*m(c) - 14*v(c).
2*c**2
Let h(l) = -5*l**3 + 6*l**2 + 9*l + 5. Let s(n) = 3*n**3 - 4*n**2 - 6*n - 3. What is 5*h(v) + 8*s(v)?
-v**3 - 2*v**2 - 3*v + 1
Let l(u) = u - 1. Let x(r) = 23*r**2 + r - 1. Calculate l(i) - x(i).
-23*i**2
Suppose -3 = v + 7. Let h(c) = c + 2. Let o(q) = 2*q + 3. Determine v*h(s) + 6*o(s).
2*s - 2
Let m(y) = 7*y + 3. Let w(z) = z**2 + 5*z + 5. Let k be w(-4). Let l(b) = 3*b + 0*b + k - 2*b. Let v(g) = 2*g + 7. Let i be v(-6). Determine i*l(s) + m(s).
2*s - 2
Let c(n) = 5*n**2 - 2*n - 18. Let o(l) = 6*l**2 - 2*l - 19. Give 7*c(q) - 6*o(q).
-q**2 - 2*q - 12
Let h(g) = 1 - 2*g + g - 2. Suppose 5*s - i + 22 = 0, 7*s + 8 = 3*s - 4*i. Let o = -2786 + 2787. Let c(f) = 2*f**3 + f**2 - 4*f - 4. Determine o*c(u) + s*h(u).
2*u**3 + u**2
Let x(c) = 7*c**2 + 2*c + 7. Let t(s) be the first derivative of s**3 + s**2/2 + 3*s - 4. What is 9*t(f) - 4*x(f)?
-f**2 + f - 1
Let h(o) = o**2 - o - 1. Let v = 1/25 - -3/50. Let i(s) be the second derivative of v*s**5 - 2*s - 7/6*s**3 + 0 - 3*s**2 + 1/3*s**4. Calculate 6*h(k) - i(k).
-2*k**3 + 2*k**2 + k
Let h(p) = 14*p**2 + 12*p - 10. Let z(x) = x**2 + x - 1. Determine -h(b) + 12*z(b).
-2*b**2 - 2
Let t = -31 - -30. Let h be (t*1)/((-8)/104). Let p(n) be the third derivative of -n**4/12 - 2*n**3/3 - n**2. Let s(j) = -j - 2. Give h*s(v) - 6*p(v).
-v - 2
Let m(y) = -y**3 + 5*y**2 + 2*y - 6. Let i(t) = -t**3 + 6*t**2 + 2*t - 7. Let n be 784/(-126) - 2*(-1)/9. Give n*m(u) + 5*i(u).
u**3 - 2*u + 1
Let g(u) = -u**2 + 1. Let p(a) be the third derivative of -a**6/60 + a**5/60 - a**3/6 + 11*a**2. Calculate 3*g(c) + p(c).
-2*c**3 - 2*c**2 + 2
Let p(a) = 8*a - 24. Let q(m) = 2*m - 6. Calculate -2*p(b) + 9*q(b).
2*b - 6
Let z(y) = 11*y**2 - 5. Let r(m) = -6*m + 5. Let d be r(1). Let x(u) = u**2 - 1. Calculate d*z(v) + 6*x(v).
-5*v**2 - 1
Let b(z) be the first derivative of -1 + 0*z + z**2 - 3/2*z**4 - 1/3*z**3. Let j(l) = -l**3 + l. Calculate -b(t) + 4*j(t).
2*t**3 + t**2 + 2*t
Let b(l) = -34*l + 16. Let y(f) = 7*f - 3. Give 2*b(a) + 11*y(a).
9*a - 1
Let i(y) = -2*y**2 - 13*y + 11. Let n be -7*(32/(-28))/4*3. Let q(g) = -g**2 - 6*g + 5. Calculate n*i(w) - 13*q(w).
w**2 + 1
Let o(d) = -8*d**3 + 12*d - 17. Let y(p) = -3*p**3 + 4*p - 6. Calculate -6*o(q) + 17*y(q).
-3*q**3 - 4*q
Suppose -1 = s + 2. Let j(c) = -c - 1. Let i = 10 - 5. Let y(l) = -i - 4 + 1 - 5*l + 5. Give s*j(b) + y(b).
-2*b
Let q(j) = j**3 + j**2 - 1. Let p(d) = -d**2 + 8*d - 8. Let h be p(7). Let k(v) = 0*v**2 + 70*v - v**2 - 37*v + 2 - 34*v. What is h*k(g) - 2*q(g)?
-2*g**3 - g**2 + g
Let k(g) = -5*g**3 + 4. Let z(v) = -v**3 + v**2 + 1. Let y(i) = k(i) - 3*z(i). Let j(p) = -6*p**3 - 8*p**2 + 3. Determine 3*j(w) - 8*y(w).
-2*w**3 + 1
Let c(d) = 17*d - 2. Let a(s) = -34*s + 4. Calculate 4*a(x) + 7*c(x).
-17*x + 2
Let f(o) be the second derivative of o**5/20 + o**4/12 + 60*o. Let c(u) be the third derivative of -u**6/120 - u**5/20 - u**4/12 - 2*u**2. Give -c(h) - 2*f(h).
-h**3 + h**2 + 2*h
Let z(i) = i**3 - 6*i - 2. Let m(f) = -f**3 + 7*f + 3. Give 6*m(b) + 7*z(b).
b**3 + 4
Let v(j) = -2*j + 6. Let w(k) = 10 + 6*k - 11 - 5*k + 0*k. Determine -v(s) - 4*w(s).
-2*s - 2
Let i(t) = t**2 - t. Let r(x) = x**3 + 2*x**2 - x - 2. Let g = 10 - 7. Suppose -g + 11 = -4*l. Calculate l*i(y) + r(y).
y**3 + y - 2
Let o(u) = -u - 9. Let a be o(-6). Let z(q) = q - 3. Let d(g) = -g + 3. Give a*d(f) - 2*z(f).
f - 3
Let j(i) = 25*i - 6. Let o(s) = s + 1. What is -j(a) - 5*o(a)?
-30*a + 1
Let s(l) = -l**2 - l. Let u(o) = 2*o**2 - 2*o + 2. What is s(x) + u(x)?
x**2 - 3*x + 2
Let a(n) = -5*n**3 - 4*n**2 - 11*n + 1. Let d(j) = -j**3 - j**2 - j. Give a(z) - 3*d(z).
-2*z**3 - z**2 - 8*z + 1
Let m(v) = 5*v + 6. Let t(k) = 2. Give 2*m(s) - 6*t(s).
10*s
Let n(c) = -2*c + 11. Let s be n(8). Let g(m) = -m + 2*m - 11*m**2 - 1 + 2 + 10*m**2. Let d(o) = 7*o**2 - 5*o - 5. What is s*g(u) - d(u)?
-2*u**2
Let x(r) = 3*r**2 - 18. Let w(h) = -h**2 + 9. Calculate -7*w(c) - 3*x(c).
-2*c**2 - 9
Suppose -5*y = -u - 6 - 36, -8 = -2*y - 4*u. Let p = 8 + -4. Let v = p - 1. Let r(l) = -5*l**2 + 8. Let w(x) = 2*x**2 - 3. Give v*r(i) + y*w(i).
i**2
Let p(q) = -2*q**2 - q + 4. Let o(l) = -1. Suppose 5*r + 6 = -0*r + 2*h, 0 = 4*h + 8. Let k be r/(-8) - (-6)/8. Give k*p(t) + 4*o(t).
-2*t**2 - t
Let o = 1 - -1. Let h(g) = 0 - 7*g**o - 5*g + g**2 + 1. Let t(p) = -7*p**2 - 6*p + 1. Let b be (-14)/3 + (-1)/3. Determine b*t(f) + 6*h(f).
-f**2 + 1
Let z(g) = 7*g + 5. Suppose 0 = -4*l - 12, l = -4*n + 3*l + 78. Let u be (-3)/n + (-43)/(-6). Suppose -u = 3*c - 4. Let m(i) = -i - 1. What is c*z(s) - 5*m(s)?
-2*s
Let d(a) = 5*a + 4. Let w(f) = -14*f - 11. Let h = 8 - 0. Let k = h + -4. Determine k*w(x) + 11*d(x).
-x
Let q(z) = -20*z**3 - 23*z**2 + 17*z - 17. Let g(t) = 7*t**3 + 8*t**2 - 6*t + 6. Give 17*g(c) + 6*q(c).
-c**3 - 2*c**2
Let f(d) = -1. Let j(g) = -79*g + 4. Give 4*f(x) + j(x).
-79*x
Let w(q) = -q. Let b(p) = 17*p. Calculate -b(h) - 5*w(h).
-12*h
Let r(d) = d + 4. Let h(i) = 5*i + 20. Give 2*h(c) - 11*r(c).
-c - 4
Let i(n) = n**3 + 5*n**2 - 7*n + 5. Let y(z) = -z - 24. Let o be y(-18). Let q(h) = -h**3 - 6*h**2 + 8*h - 6. Calculate o*i(c) - 5*q(c).
-c**3 + 2*c
Let f(u) = -3*u + 5 + u**3 - 6*u**2 + 3*u**2 - 3. Let z(y) be the first derivative of