 + 2
Let y(r) be the first derivative of -r**2 - 117. Let d = -5 - -9. Let f(p) = 4*p + 1. What is d*f(a) + 7*y(a)?
2*a + 4
Let h(q) = -8*q**2 + 2*q + 5. Let d(o) = -399*o + 799*o + 11 - 17*o**2 - 396*o. Give -6*d(a) + 13*h(a).
-2*a**2 + 2*a - 1
Let r(n) = 6*n**2 + 3*n - 2. Let p(z) = -76*z - 79*z + 1 + 154*z. What is -2*p(h) - r(h)?
-6*h**2 - h
Let n(k) = 6*k + 4. Let z be -1 - -2 - (-17 - (-5 + 0)). Let h(i) be the third derivative of -i**4/8 - i**3/3 + i**2. What is z*h(g) + 6*n(g)?
-3*g - 2
Let z(c) = -3*c**3 - 3*c**2 - 4*c + 2. Let l(n) = 4*n**3 + 4*n**2 + 5*n - 3. Determine -4*l(v) - 5*z(v).
-v**3 - v**2 + 2
Let s(x) = x. Let f(m) = 2. Let y(n) = 9. Let c(r) = 4*f(r) - y(r). Calculate 3*c(h) - 2*s(h).
-2*h - 3
Let a(r) = -1. Let z(y) = -2*y + 4. Let w(n) = 20*n + 159. Let g be w(-8). Give g*z(i) - 5*a(i).
2*i + 1
Let y(m) = 5*m**3 - 12*m**2 + 33*m + 2. Let l(g) = 11*g**3 - 26*g**2 + 66*g + 4. Determine 6*l(s) - 13*y(s).
s**3 - 33*s - 2
Let l(q) = -20*q**2 - 111*q + 22. Let p(m) = -11*m**2 - 56*m + 12. Give -6*l(i) + 11*p(i).
-i**2 + 50*i
Let i(g) = -2*g + 35. Let t(c) = -5*c + 71. Determine -7*i(x) + 3*t(x).
-x - 32
Let w(d) = 13*d**2 + 7 + 4*d - 4*d**2 + d. Suppose 2*a = 4*a + 10. Let n(s) = -5*s**2 - 3*s - 4. Let z = -1382 + 1379. Determine a*n(t) + z*w(t).
-2*t**2 - 1
Let d be (-4 + -2)*(-2 + 15/9). Let n(k) = -49 + 2*k**d + 48 - 2*k**2 - k**2 + 3*k. Let g(w) = w**2 - 4*w + 1. Calculate -4*g(t) - 5*n(t).
t**2 + t + 1
Let w be 1/6 + (-5)/(-6). Let o(s) be the second derivative of 7*s**3/3 - 6*s**2 + 141*s. Let r(x) = -x + 1. Determine w*o(q) + 12*r(q).
2*q
Let l(a) = 22*a**2 + 10*a - 22. Let d = 564 - 569. Let x(g) = 1 - 9*g**2 + 5 + 3 - 4*g. What is d*l(p) - 12*x(p)?
-2*p**2 - 2*p + 2
Let a(o) = 5*o**3 - 2*o**2 + 10*o - 8. Let i(k) = -2*k**3 + k**2 - 3*k + 3. Calculate 3*a(c) + 8*i(c).
-c**3 + 2*c**2 + 6*c
Let i(l) = 10*l**3 + 6*l**2 + 21*l - 87. Let n(v) = -2*v**3 - v**2 - 4*v + 17. Determine -2*i(b) - 11*n(b).
2*b**3 - b**2 + 2*b - 13
Let s(i) = i**2 + 4*i - 1. Let h = 62 - 61. Let g(l) = l**2. Let f(z) = -4*z**2 - 21*z + 4. Let b(a) = h*f(a) - 2*g(a). Give 2*b(q) + 11*s(q).
-q**2 + 2*q - 3
Let c(o) = -5*o**3 + 2*o**2 - o - 2. Let g(z) = 14*z**3 - 7*z**2 + 3*z + 6. Let h(y) = y**2 - 53*y - 637. Let f be h(63). Determine f*c(w) - 2*g(w).
7*w**3 + w + 2
Let a(m) = -2*m**2 + 3*m + 3. Suppose -19*c - 51 - 6 = 0. Let d(k) = -k**2 + k. Determine c*d(o) + a(o).
o**2 + 3
Let k(g) = -7*g**2 - 5*g + 6. Let r be k(1). Let b(o) = -9*o**3 - 7*o**2 - 6*o - 6. Let j(v) = 7*v**2 + 7*v + 9 + v**2 - 2 + 10*v**3. What is r*j(t) - 7*b(t)?
3*t**3 + t**2
Let i(z) = -z - 1. Let f = -5 + 5. Suppose w + 0 - 2 = f. Let y(b) = -12*b + 20. Let x(l) = 4*l - 7. Let d(r) = 17*x(r) + 6*y(r). Calculate w*i(k) - d(k).
2*k - 3
Let g(s) = -s + 1. Let r(f) = 6*f + 7. Calculate -4*g(m) + r(m).
10*m + 3
Let c(v) = 3*v**3 + 15. Let b = 23 - 27. Let m(a) be the second derivative of 5*a + 2*a**2 + 0 + 0*a**4 + 0*a**3 + 1/20*a**5. Give b*c(p) + 15*m(p).
3*p**3
Let h(z) = -6*z**3 - 2*z - 4. Suppose 5*a + 5*t = 20, 0*a + 4*a + 5*t = 17. Let r(y) = 7*y**3 + 2*y + 5. What is a*h(g) + 2*r(g)?
-4*g**3 - 2*g - 2
Let k(j) = j**2 + 3*j - 2. Let m(o) = -o + 1. Suppose -9 = -z - 0. Let n = z - 6. Suppose -10*q + 111 = 101. Calculate n*m(s) + q*k(s).
s**2 + 1
Let l(q) = -q + 1. Let w(x) = 2*x + 73. Give l(m) + w(m).
m + 74
Let s(o) = 74*o**3 - o**2 - 2. Let x(p) = 371*p**3 - 6*p**2 - 11. Calculate -11*s(u) + 2*x(u).
-72*u**3 - u**2
Suppose 17 = -12*c - 67. Let v(n) = 11*n - 4. Suppose 0 = 2*i - 5*i + 21. Let y(d) = -2 + d - i*d + 4. Determine c*y(a) - 4*v(a).
-2*a + 2
Let s = -3 + 9. Let v be 1/(1/7) - 2. Let p(k) = -k + k + k - s + v. Let x(y) = y - 1. Give -3*p(h) + x(h).
-2*h + 2
Let o(a) = -7. Let t(b) = -3*b - 240. Determine -4*o(d) - t(d).
3*d + 268
Let u(p) = -p**3 - 6*p**2 + 3*p - 3. Suppose 30*q + 37*q = 96*q - 29. Let f(t) = t**3 + t**2 - t + 1. Suppose 5*r = 27 - 12. Determine q*u(a) + r*f(a).
2*a**3 - 3*a**2
Let i(b) = 4*b**2 + 0*b**2 + 3*b**2. Let g(p) = 240*p**2 + 80*p. Let v(q) = -48*q**2 - 15*q. Let l(x) = 3*g(x) + 16*v(x). Give -27*i(o) - 4*l(o).
3*o**2
Let r(a) = -a**3 + 15*a**2 - 2*a + 1. Let o(u) = -6*u**3 + 74*u**2 - 11*u + 5. What is -4*o(f) + 22*r(f)?
2*f**3 + 34*f**2 + 2
Let b(u) = -4*u + 4*u - 6*u. Let p be 0 + 4/(-6) + ((-222)/18 - -10). Let z(y) = -11*y. Determine p*z(f) + 5*b(f).
3*f
Let o(a) = -7*a**2 - 5*a - 5. Let t(w) = 22*w**2 + 16*w + 16. Let k(x) = -2*x - 24. Let y be k(-17). Suppose 15 = y*h - 7*h. Determine h*t(z) + 16*o(z).
-2*z**2
Let s(p) = 17*p**3 + 9*p**2 + 5*p + 1. Let l = 6 - -9. Let b = -23 + l. Let d be (2/6)/(b/48). Let t(k) = 4*k**3 + 2*k**2 + k. Determine d*s(q) + 9*t(q).
2*q**3 - q - 2
Let y(q) = q**2 + 2*q - 49. Let c(g) = -1. Calculate -c(a) + y(a).
a**2 + 2*a - 48
Let u(n) = -409*n - 4. Let c(y) = -205*y - 2. Give 13*c(p) - 6*u(p).
-211*p - 2
Let u(v) = -v - 97. Let s(w) = -4*w - 292. Determine -2*s(t) + 7*u(t).
t - 95
Let s(u) = -u**3 + 48*u**2 - 252*u + 11. Let o be s(42). Let j(k) = -3*k - 8. Let q(w) = 16*w + 39. What is o*j(b) + 2*q(b)?
-b - 10
Let k(g) = -2720*g. Let u(p) = 136*p. Calculate 6*k(v) + 119*u(v).
-136*v
Let u(k) = k**2 + 4*k - 20. Let i(m) = m**2 + 3*m - 20. Give 4*i(x) - 3*u(x).
x**2 - 20
Suppose 4*c - 3*u - 16 = 0, 3*u + 2*u = 3*c - 12. Suppose 0 = c*p - 8*p - 4. Let t(k) = -5*k + 2. Let l(i) = -1. Determine p*t(q) - 2*l(q).
5*q
Let j be 3/6 + 18/(-4). Let y(q) = -1. Let v(t) = -t**2 + 7. Let c(d) = j*y(d) - v(d). Let r(w) = -w**2 + 2. Let h = -207 - -213. What is h*r(o) + 4*c(o)?
-2*o**2
Let p(r) = -1. Let h(u) = u + 53. Calculate h(b) + 3*p(b).
b + 50
Let x(w) = 2*w - 3. Let r(s) = -2*s + 3. Suppose -2*y + 7*y - 30 = 3*j, -25 = -5*y + 2*j. Give y*r(m) + 2*x(m).
-2*m + 3
Suppose 0 = 5*j + 1 + 4, 5*m + 20 = -5*j. Let k(s) = -3*s**2 - 3. Let x(a) = -3*a**2 - 2. Calculate m*k(z) + 4*x(z).
-3*z**2 + 1
Let k(a) = 4*a**2 - 2*a - 1. Suppose 3*x - 13 = -2*n, 2*x + 3*n - 15 = -x. Let u(r) = r**2 - r - 1. Determine x*u(p) - k(p).
-p**2 - p - 2
Suppose -3*i = -8 - 10. Let t(y) = y. Let g(d) = -57*d + 26*d + 25*d. Let h(r) = g(r) + 5*t(r). Let w(c) = -c. Give i*h(a) - 7*w(a).
a
Let g(m) = 110*m - 3. Let n(j) = -55*j + 2. What is -3*g(b) - 5*n(b)?
-55*b - 1
Let y(a) = -6*a - 15. Let z(b) = 14*b + 28. Give 5*y(t) + 2*z(t).
-2*t - 19
Let g(u) = -43*u - 811. Let r(s) = -10*s - 203. Calculate -6*g(h) + 26*r(h).
-2*h - 412
Let b = 6 - 11. Let i(g) = -g. Let q(p) = 6*p. Let d(s) = -6*s. Let m(c) = -6*c. Let t(j) = 4*d(j) - 3*m(j). Let x(h) = 2*q(h) + 3*t(h). What is b*i(w) + x(w)?
-w
Let c(p) = 3*p**2 - 6*p. Let r(f) be the third derivative of -7/24*f**4 - 4*f**2 + 1/15*f**5 + 0*f**3 + 0 + 0*f. Give 7*c(a) - 6*r(a).
-3*a**2
Let q(g) = 11*g + 19. Let u(i) = 9*i - 15. Let o(f) = 26*f - 39. Let h(m) = 4*o(m) - 11*u(m). What is 9*h(y) - 4*q(y)?
y + 5
Let b(p) = 2*p**3 - 4*p**2 + 6*p + 6. Suppose -2*i = -4*c + 22, 5*i + 8*c = 10*c - 15. Let l(z) = -z**2 + z + 1. Determine i*b(f) + 6*l(f).
-2*f**3 - 2*f**2
Let t(n) = 51*n**3 - 4*n**2 + 2*n - 3. Let f(k) = 253*k**3 - 22*k**2 + 11*k - 16. Determine 2*f(x) - 11*t(x).
-55*x**3 + 1
Let d(s) = 5*s - 6. Let t(j) = j - 1. Suppose 362*w = 369*w + 7. Calculate w*d(o) + 4*t(o).
-o + 2
Let z(x) = -75*x + 3. Let s(f) = 75*f - 3. Calculate -4*s(m) - 5*z(m).
75*m - 3
Let d(p) = -8*p + 7. Let b(c) = -c - 1. Suppose 3*i + z = 6, 4 = 2*i - 0*z + 2*z. Let w(n) = n + 3. Let f(r) = i*b(r) + w(r). Determine -d(g) + 5*f(g).
3*g - 2
Let i(t) = -2*t + 1. Let d(y) = 11*y - 6. Let x(k) = -d(k) - 6*i(k). Let a(g) = 11*g - 1. Determine -a(o) + 2*x(o).
-9*o + 1
Let k(z) = 114*z**2 + 5*z. Let c(s) = 57*s**2 + 2*s + 1. What is 5*c(u) - 2*k(u)?
57*u**2 + 5
Let k(g) = -g + 4. Let f(x) = -4*x + 11. Suppose -7*j - 14*j - 63 = 0. Give j*f(i) + 8*k(i).
4*i - 1
Let b(s) = -3*s + 11. Suppose -23 - 5 = -4*q. Let l = q + 1. Suppose -3*r = -15, -6*n - 5*r = -n. Let o(z) = -2*z + 7. What is l*o(k) + n*b(k)?
-k + 1
Let f(t) be the first derivative of t**4/4 - 3*t**2 - 6*t - 234. Let w(l) = -21*l**3 + 119*l + 119. What is -119*f(c) - 6*w(c)?
7*c**3
Let s(i) = 15*i - 21. Let w = 19 + -15. Let k(h) = h**3 + 5*h**2 + 3*h - 2. Let y be k(-4). Let a(t) = 4 - 2*t - w*t + t + y*t. Calculate -21*a(d) - 4*s(d).
3*d
Let s be (4/(-6))/((-