- 1. Let z(t) = -2*t**3 + 2. Let c = -142 - -132. Give c*d(p) + j*z(p).
-2*p**3 + 2
Let f(r) = 4*r + 2. Let j(n) be the third derivative of -n**4/8 - n**3/3 + 4*n**2. Give -5*f(y) - 6*j(y).
-2*y + 2
Let n(d) = 2*d**3 + 6*d**2 + 6*d. Suppose -3*q - 9 = -4*x + 18, 5*q = 5*x - 40. Let k(v) = 0*v**2 - x*v + 2*v**2 - v**2 + 4*v. What is -6*k(i) + n(i)?
2*i**3
Let i(o) = o + 1. Let h = -8 - -11. Suppose 14 = 3*s + 2*c - 0, -2*s = -2*c + 4. Let l(z) = -3*z + z - 1 - s. Determine h*l(t) + 8*i(t).
2*t - 1
Let n(s) = 2*s**3 + s**2 - 2*s - 1. Let q(m) = -3*m**2 + 9*m + 4 - 8*m**3 + 5*m**2 - 7*m**2. Determine 9*n(j) + 2*q(j).
2*j**3 - j**2 - 1
Let n(z) = -z**2 + 5*z + 6. Let r(j) = 3*j**2 - 9*j - 11. Calculate -7*n(x) - 4*r(x).
-5*x**2 + x + 2
Let o(c) = -4*c**3 - 3. Let y(m) = -35*m**3 - 28. Determine 28*o(z) - 3*y(z).
-7*z**3
Suppose -5*v + 12 = -8*v. Let g(j) = 2*j**2 + 2*j - 3. Let t(x) = -4*x**2 - 4*x + 5. What is v*t(z) - 7*g(z)?
2*z**2 + 2*z + 1
Let p(n) = -10*n + 7. Let i(d) = -7*d + 5. Determine -7*i(c) + 5*p(c).
-c
Let r(c) = -2*c - 2. Let p(g) = 2*g + 2. What is -6*p(x) - 5*r(x)?
-2*x - 2
Let s(q) = -8*q**2 - q. Let c(x) = -17*x**2 - 3*x. Determine -3*c(i) + 7*s(i).
-5*i**2 + 2*i
Let k(f) = -2*f**2 - 3*f + 3. Let c(d) = -6*d**2 - 8*d + 10. What is 3*c(g) - 8*k(g)?
-2*g**2 + 6
Let t(b) = 23*b - 4. Let j(w) = 45*w - 7. What is 3*j(p) - 5*t(p)?
20*p - 1
Let g(i) = -2*i**2 + 3*i + 3. Let n(v) be the third derivative of v**5/30 - v**4/6 - 2*v**3/3 + 7*v**2. Calculate 3*g(p) + 2*n(p).
-2*p**2 + p + 1
Let l(o) = 8*o**2 - 3*o + 13. Let u(m) = 2*m**2 - m + 3. What is -2*l(c) + 9*u(c)?
2*c**2 - 3*c + 1
Let d(t) = 5*t**2 + t - 5. Let v(a) = a**3 - 6*a**2 - 5*a - 15. Let f be v(7). Let b(l) = -l**2 + 1. Calculate f*d(c) - 6*b(c).
c**2 - c - 1
Let y(t) be the second derivative of -t**3/6 - t**2/2 - 2*t. Let x(u) = u. Suppose 2 - 5 = -3*j. What is j*y(a) + 3*x(a)?
2*a - 1
Let w(f) = -f**2 - 6*f - 10. Let m be w(-4). Let t be ((-16)/24)/(m/3). Let q(j) = -2*j**2 - 5*j + 2. Let g(d) = d**2 + d - 1. Calculate t*q(p) + 4*g(p).
2*p**2 - p - 2
Let b(s) = 14*s + 8. Let f(o) = o + 7. Let g be f(-7). Let w(u) be the second derivative of -5/2*u**2 - 3/2*u**3 + u + g. What is 5*b(i) + 8*w(i)?
-2*i
Let t(j) = 5*j + 3. Let y(w) = -5*w - 4. Let k(u) = -u**2 - 6*u - 2. Let f be k(-5). What is f*y(z) + 4*t(z)?
5*z
Let j(h) = 4*h**2 + 0*h - 8*h + 11*h - 2*h. Let z(x) = x**3 - 4*x**2 - x - 5. Let t be z(4). Let l(r) = 17*r**2 + 5*r. What is t*j(f) + 2*l(f)?
-2*f**2 + f
Let p(c) = c. Let a(b) = -5*b - 1. What is a(r) + p(r)?
-4*r - 1
Let q(w) = -w**3 + 2*w**2 + 3*w - 4. Let o(y) = 4*y**3 - 9*y**2 - 11*y + 17. What is 2*o(m) + 9*q(m)?
-m**3 + 5*m - 2
Let h = -1 + 3. Let n(u) be the third derivative of -u**5/60 - u**4/24 + u**3/6 + u**2. Let y(q) = 5*q**2 - 6*q**2 + 4*q**2. Determine h*n(m) + y(m).
m**2 - 2*m + 2
Let n(v) = -v**3 + v**2 - v. Suppose -4*k - 2 = -5*k. Let q(t) = k*t**3 + 0*t + t**2 - 4*t**3 + 3*t - 4*t. Give n(s) - q(s).
s**3
Let p(c) = 9*c**2 + 11*c - 11. Let b(y) = 5*y**2 - 7*y + 1. Let o(w) = -11*w**2 + 15*w - 2. Let f(k) = -13*b(k) - 6*o(k). Determine 22*f(z) - 2*p(z).
4*z**2
Let p = 2 + 0. Let a(v) = 2*v - p*v - v. Let j(g) = 4*g. Let c = -79 + 80. Calculate c*j(u) + 6*a(u).
-2*u
Let c(z) = -4*z - 1. Suppose -28 = -0*h - 2*h. Let m(k) = -9*k - 2. Suppose 6 = -2*o - 2, b = 4*o + 26. Let x = b - 16. Determine h*c(s) + x*m(s).
-2*s - 2
Let v(y) = -4*y - 5. Let a(h) = 3*h + 4. Suppose 2*g - 28 = 4*l, 4*g - 1 + 0 = -3*l. Let o(r) = 3*r + 4. Let t(q) = l*o(q) + 6*a(q). Determine -5*t(b) - 4*v(b).
b
Let g(r) = -r**2 + 11*r + 1. Let l(j) = -6*j**2 + 55*j + 5. What is -11*g(s) + 2*l(s)?
-s**2 - 11*s - 1
Let a(u) = -u**3 - u**2 + 3*u. Let l(s) = -s**3 - 3*s**2 + 5*s. What is 5*a(y) - 3*l(y)?
-2*y**3 + 4*y**2
Let u(y) = -y**3 + 2*y**2 + 2*y + 1. Let d(n) = n. Let o be d(-2). Let m = 4 - -1. Let x(i) = -3*i**3 + 0*i**3 + 5*i**2 - i + m*i + 2. What is o*x(w) + 5*u(w)?
w**3 + 2*w + 1
Let g(i) = -i - 1. Let d(n) = n**2 + 3*n + 2. Suppose 3*h - h - 12 = 0. Let c be h/(-3) - (-3 - 0). Suppose -4 + c = 3*m. Give m*d(r) - 2*g(r).
-r**2 - r
Let r = 16 + -14. Let g(z) be the first derivative of 0*z**r + 0*z**3 - 2 - 1/2*z**4 + 4*z. Let w(i) = -2*i**3 + 5. Determine -3*g(v) + 2*w(v).
2*v**3 - 2
Let x(k) = -k. Let s(c) = 30*c. Determine -2*s(j) - 54*x(j).
-6*j
Let i(a) = -4*a - 14. Let v(z) = -z - 1. Determine i(k) - 2*v(k).
-2*k - 12
Let g(j) = j**2 + 4. Let a(h) = 4*h**2 + 17. Let l(z) = z - 7. Let k be l(7). Suppose -2*q + 7*q + 10 = k. What is q*a(i) + 9*g(i)?
i**2 + 2
Let i = 0 - 4. Let y(q) = 7*q**2 - 9*q**2 + 0 + 9*q + 10 - 3. Let n(u) = -u**2 + 5*u + 4. Calculate i*y(l) + 7*n(l).
l**2 - l
Suppose 35*g = 39*g + 16. Let k(p) = 9*p + 4. Let m(o) = -100*o - 45. Give g*m(h) - 45*k(h).
-5*h
Let k(q) = -q**3 - q**2 - q. Let o(p) = 2*p**2 + 4*p. Let b = 1 - 6. Let f = b + 3. Give f*k(j) - o(j).
2*j**3 - 2*j
Let l(f) = 7*f**2 + 7*f - 6. Let n(g) = -13*g**2 - 13*g + 11. What is -11*l(w) - 6*n(w)?
w**2 + w
Let r(b) = -b**2. Let a(k) = -k**2 + k. Suppose 1 = -3*i - 2. Let o(j) = -j. Let w(x) = i*a(x) - o(x). Calculate -7*r(n) - 6*w(n).
n**2
Let p(t) = -t**2 + 2. Let x(s) = 2*s**2 - 5. Let i(v) = 5*v**2 - 11. Let b(m) = -3*i(m) + 5*x(m). What is 4*b(j) - 18*p(j)?
-2*j**2 - 4
Let l(n) = -2*n + 12. Let d(x) = 1. Determine 3*d(m) + l(m).
-2*m + 15
Let q(d) = 9*d**2 + 9*d + 5. Suppose -4*w + v - 57 = -w, -3*v = -5*w - 91. Let g be 15/w + (-17)/4. Let h(s) = 14*s**2 + 14*s + 8. Determine g*h(n) + 8*q(n).
2*n**2 + 2*n
Let n(u) = 15*u**2 + 13*u - 6. Let g(y) = -8*y**2 - 7*y + 3. Determine -11*g(p) - 6*n(p).
-2*p**2 - p + 3
Let z(r) = -14*r**3 - 14*r**2 + 14*r - 8. Let c(s) = 9*s**3 + 9*s**2 - 9*s + 5. Calculate -8*c(a) - 5*z(a).
-2*a**3 - 2*a**2 + 2*a
Let t(q) = -2*q**2 - 4*q + 5. Let f(u) = 6 - 3*u**2 - 6*u + u + 0*u. Determine 4*f(m) - 5*t(m).
-2*m**2 - 1
Let d(w) = 12*w**3 - 5*w + 5. Let i(g) = -6*g**3 + 3*g - 2. What is -3*d(b) - 5*i(b)?
-6*b**3 - 5
Let j(y) = 3*y**2 - 6*y + 6. Let m(k) = -2*k**2 + 5*k - 5. Suppose 2*r - 4*r + 3*h = -3, -3*h + 3 = -3*r. Give r*m(n) - 5*j(n).
-3*n**2
Let d(s) = -6*s. Let m(r) = 2*r - 4*r - r - r. Determine 5*d(z) - 8*m(z).
2*z
Let k(v) = -6*v**2 - 3*v + 1. Let n(d) = 12*d**2 - 2 + 9*d**2 - 8*d**2 + 7*d. What is -9*k(b) - 4*n(b)?
2*b**2 - b - 1
Let p(k) = 19*k - 5. Let a(m) = 18*m - 4. Calculate 6*a(l) - 5*p(l).
13*l + 1
Let o = 30 - 31. Let c(q) = -q**3 + q**2. Let a(x) = 4*x**3 - 3*x**2 - 1. Give o*a(l) - 3*c(l).
-l**3 + 1
Let t(m) = -3*m**3 + m**2 - 3*m - 3. Let s(d) = d + 1. Calculate -3*s(o) - t(o).
3*o**3 - o**2
Let f(c) = -c + 5. Let m be f(0). Suppose -3*j = -m*j + 2. Let g(s) = s**2 + s. Let o(v) = -4*v**2 - 4*v. Calculate j*o(a) + 2*g(a).
-2*a**2 - 2*a
Let l(u) = -5*u**3 - 6*u - 2. Let p(y) = y**3 + y. Determine -l(k) - 3*p(k).
2*k**3 + 3*k + 2
Let z be -2 - -2 - (-24 - 0). Let w = -17 + z. Let o(d) = -7*d + 2. Let v(j) = 8*j - 2. Let g = 6 + 0. Determine g*v(k) + w*o(k).
-k + 2
Suppose 0*g - 2*g + 12 = 0. Let o = g + -17. Let n = 17 - 21. Let f(v) = -3*v**2 + 5*v - 4. Let r(m) = 8*m**2 - 14*m + 11. Determine n*r(j) + o*f(j).
j**2 + j
Let o(t) = -9*t - 11. Suppose 3*l - 3*b + 5*b + 22 = 0, -3*b - 6 = 0. Let y(f) = -4*f - 5. Determine l*o(p) + 13*y(p).
2*p + 1
Let x = -18 - -19. Let m(l) = -1 + 4 - 1 - x. Let d(w) = w - 1. Calculate 2*d(i) + 3*m(i).
2*i + 1
Let l(n) be the second derivative of -7*n**4/12 - n**2/2 - 58*n. Let u(z) = -z**2 - 1. Give -l(i) + u(i).
6*i**2
Let a(s) = 2*s**2 - 7. Let c(w) = 4 + 2*w**2 + 0 + 0 - 3*w**2. Give -4*a(u) - 7*c(u).
-u**2
Let u be -1 - 3/6*-6. Let s(y) = 8*y + 6. Let b(q) = -q - 1. Determine u*s(x) + 14*b(x).
2*x - 2
Let r(z) = -11*z**3 + 14*z**2 - 8*z + 8. Suppose c - 2*c = -4. Let g(m) = 1 + c - m**2 + 10*m**2 - 5*m - 7*m**3. Calculate -8*g(h) + 5*r(h).
h**3 - 2*h**2
Let v(p) = -10*p**2 - 7*p - 7. Suppose 6 = -3*h - 9. Suppose -4*u - u + 46 = -3*n, -5*u = -n - 32. Let l(j) = 7*j**2 + 5*j + 5. What is h*v(f) + n*l(f)?
f**2
Let k(t) = -t**3 + 13*t**2 - 13*t + 16. Let c be k(12). Let m(q) = 2*q - 3. Let w(j) = 3*j - 7. Calculate c*w(z) - 9*m(z).
-6*z - 1
Let c(p) = p**3 + 2*p**2 + 2*p - 4. Suppose 7 = 11*l - 4*l. Let m(h) = -h**3 - h. What is l*c(t) + 2*m(t)?
-t**3 + 2*t**2 - 4
Let u(t) = 9*t + 15 + 11 - 29 +