- 1
Let d(s) = -1. Let g(n) be the first derivative of 3*n**2/2 + 130. Let m(p) = -4*p - 3*p + 3*p. Let h(x) = -6*g(x) - 5*m(x). What is -3*d(c) - h(c)?
-2*c + 3
Let b(u) = 3*u - 1. Let r(c) = -315*c - 11. Calculate 44*b(l) - 4*r(l).
1392*l
Let u(t) = -5*t**3 + 4. Suppose 0 = -13*w + w + 48. Let h(r) = r**3 - 1. Determine w*h(m) + u(m).
-m**3
Let q(v) = 2*v**2 - 10*v + 7. Let i(j) = j - 1. Calculate -6*i(f) - q(f).
-2*f**2 + 4*f - 1
Let g = 195/74 + 32/37. Let f(y) be the first derivative of -g*y**2 - 7 + 4*y. Let m(b) = -6*b + 3. Give -5*f(c) + 6*m(c).
-c - 2
Let b(i) = 4*i - 4. Let k(j) = 4*j - 5. Determine 4*b(t) - 3*k(t).
4*t - 1
Let p(m) be the second derivative of -5*m**4/12 + m**2 + 8*m - 3. Let g(t) = -t**2 + 1. What is 6*g(x) - 2*p(x)?
4*x**2 + 2
Let s(q) = q**3 + q**2 + 2*q - 1. Let c(o) = 77*o**3 - 6*o**2 - 12*o + 6. Determine -c(u) - 6*s(u).
-83*u**3
Suppose -3 = 13*q - 14*q. Let k(a) = a**q + 7 - 6*a**3 - 2 - 7*a + 9*a. Let j(i) = i**3 - 1. Give -4*j(y) - k(y).
y**3 - 2*y - 1
Let l(o) be the third derivative of o**5/12 - 11*o**4/24 + 2*o**3/3 + 3*o**2. Let a(f) = 30*f - 18*f - 3 - 2*f**2 + 1 - 16*f + 9*f. Determine 7*a(c) + 3*l(c).
c**2 + 2*c - 2
Let i(b) = b. Let a = 443 - 442. Let g(n) = -6*n. What is a*g(v) + 9*i(v)?
3*v
Let s(g) = 4*g - 1. Let a(p) = -p - 839 + 839. Give 6*a(v) + s(v).
-2*v - 1
Let t(x) be the first derivative of -x**2 + 2*x - 52 + 1/3*x**3. Let s(d) = 2*d**2 - 3*d + 3. Calculate 2*s(c) - 3*t(c).
c**2
Let q(b) = 3*b**2 - 5*b + 7. Let d = 4 + 1. Suppose 4*a - 8 = -0. Let l(o) = 5*o**2 - 4*o**a - 7*o + 10 + 3*o**2. Give d*l(h) - 7*q(h).
-h**2 + 1
Let j(f) = -4*f**3 + f**2 + 3. Suppose -4*h = -5*y + 90, -6*h + h = -5*y + 85. Let q(d) = 15*d**3 - 4*d**2 - 11. Let k = 9 - 3. Calculate k*q(w) + y*j(w).
2*w**3 - 2*w**2
Let r(w) = -3*w**2 + 2*w + 0*w - 3*w**2 - 4*w. Let z(p) be the third derivative of -p**5/60 - p**2 - 19*p. What is r(q) - 8*z(q)?
2*q**2 - 2*q
Let y(l) = 19*l**2 - 13*l + 13. Let q(r) = 7*r**2 + 17*r - 17. Let z(g) = -3*g**2 - 8*g + 8. Let m(p) = 6*q(p) + 13*z(p). Determine 39*m(c) - 6*y(c).
3*c**2
Let z(f) = f - 2. Let o be z(5). Let y(v) = -4*v**2 - o - v + 5*v + 2*v**3 + 2. Let l = 73 + -76. Let a(q) = q**3 - 3*q**2 + 3*q. What is l*y(d) + 4*a(d)?
-2*d**3 + 3
Let q(p) = -22*p**2 - 7. Let f(w) = 65*w**2 + 19. Determine 6*f(a) + 17*q(a).
16*a**2 - 5
Let k(l) = 3*l**2 + 3. Suppose -2*m = -0*m - 6. Suppose 1 = m*q - 4*q. Let h(j) = -1 - 1 - 1 + 4 + j**2. Give q*k(g) + 4*h(g).
g**2 + 1
Let q(x) = -14*x**2 - 39*x**2 + 0 + 51*x**2 - 1. Suppose 0 = 4*w + 5*p + 14 - 1, 2*p + 6 = -2*w. Let a(m) = m**3 - 7*m**2 - m - 4. Determine w*a(o) + 7*q(o).
-2*o**3 + 2*o + 1
Let f(a) = 39*a**3 + 5*a**2 + 10*a. Let c(m) = 59*m**3 + 8*m**2 + 16*m. What is 5*c(u) - 8*f(u)?
-17*u**3
Let q(b) = 3*b**2 - 2*b - 7. Let h(y) = 2*y**2 - y - 4. Let g(k) = 5*h(k) - 3*q(k). Let t(s) = -6*s**2 + 2*s - 2. What is 4*g(i) + t(i)?
-2*i**2 + 6*i + 2
Let w(c) = 10*c**3 - 11*c - 13. Let o(g) = -5*g**3 + 5*g + 6. Let t be (-243 + 244)/((-2)/(-26)). Calculate t*o(z) + 6*w(z).
-5*z**3 - z
Let m(k) = -3*k**2 - 2*k - 1. Let p(b) = -b**3 + b + 1. Calculate -m(t) - p(t).
t**3 + 3*t**2 + t
Let a be 4/(-10) - 12*8/(-40). Let r(n) = n**2. Let o(v) = -3*v**3 + 4*v**2 + 2. Give a*r(d) - o(d).
3*d**3 - 2*d**2 - 2
Let r(y) = 2*y**2 - 4*y - 18. Let a(c) = -c**2 + 2*c + 10. Calculate -11*a(j) - 6*r(j).
-j**2 + 2*j - 2
Let j(r) = 10*r - 4. Let t(i) = -32*i + 11. Give -8*j(k) - 3*t(k).
16*k - 1
Let o(s) = -s. Let y be -2 - (0 + 0)/(-1 - 0). Let i(t) = t + 9. Let u(r) = 1. Let k(q) = y*i(q) + 18*u(q). Determine 2*k(h) - 6*o(h).
2*h
Let t(f) = -1977*f**3 - 2636*f - 2636. Let b(d) = -d**3 - d - 1. Determine -2636*b(h) + t(h).
659*h**3
Let u(r) = -13*r**3 + 6*r**2 + 6*r. Let j(w) = -27*w**3 + 11*w**2 + 11*w. What is -6*j(c) + 11*u(c)?
19*c**3
Let v(q) = 3*q**2 - q - 1. Let k(i) be the first derivative of -i**2/2 - i + 8. Let c(y) = -3*y**3 + 10*y**2 - 3*y - 2. Let f be c(3). What is f*k(x) + 2*v(x)?
6*x**2
Let g(s) be the second derivative of 3*s**5/5 - s**4/3 + 5*s**3/3 + 6*s**2 - 237*s. Let f(i) = i**3 + i + 1. Give -10*f(r) + g(r).
2*r**3 - 4*r**2 + 2
Let z(m) = -8*m**2 - 9*m + 17. Let c(t) be the third derivative of -t**5/20 - t**4/8 + t**3 + 189*t**2. Calculate 11*c(i) - 4*z(i).
-i**2 + 3*i - 2
Let j(l) = 5*l**3 - 3*l**2 - 3. Let f(c) = -c**3 + c**2 + 1. Suppose 5*a - 4*i - 20 = 7*a, a + 2 = 2*i. Suppose -3*r - 6 = -0. Give a*f(z) + r*j(z).
-4*z**3
Let r(y) = -2*y - 6*y**2 + 27*y**2 - 21*y**2 - 11*y**3. Let j(g) = 539*g**3 + 99*g. What is -2*j(x) - 99*r(x)?
11*x**3
Let a(m) = -4*m**3 + 8*m**2 + m - 2. Suppose -31*o - 62*o - 279 = 0. Let q(g) = -5*g**3 + 9*g**2 + g - 3. What is o*a(p) + 2*q(p)?
2*p**3 - 6*p**2 - p
Let i(x) = 3*x**2 + 11*x + 7. Let q(r) = 7*r**2 + 23*r + 14. Determine -5*i(c) + 2*q(c).
-c**2 - 9*c - 7
Let d(x) = 7*x + 11. Let u(j) = 10*j + 16. Let q(o) = 2*o**3 + 34*o**2 + 29*o - 53. Let w be q(-16). What is w*u(i) + 7*d(i)?
-i - 3
Let x(n) = -223*n - 5. Let w(b) = -226*b - 4. Determine 5*w(k) - 4*x(k).
-238*k
Let x = 3 - -10. Suppose -m - 12 = -x. Let h(y) = y**2 - 2*y + 2. Let f(q) = -q**3 - q + 1. Give m*h(o) - 2*f(o).
2*o**3 + o**2
Let v(s) = 29*s**2 - 9*s - 137. Let t(q) = -10*q**2 + 3*q + 46. Determine 17*t(y) + 6*v(y).
4*y**2 - 3*y - 40
Suppose -29 = 14*w + 27. Let l(d) = d**2 + 4. Let x(z) = z**2 + 5. Let v = 13 + -8. Give v*l(y) + w*x(y).
y**2
Let g(v) = 0*v**2 - v + v**3 + 0*v**3 - 1 - v**2. Suppose 2*w - 2*t - 3*t = -9, w - 6 = -t. Let b(r) = -3 + r**2 + 5*r + w - 3*r + 3. Determine b(l) + 2*g(l).
2*l**3 - l**2 + 1
Suppose 0 = -3*a + 26 - 29. Let c be (a/(-6))/(28/24 + -1). Let p(l) = -l**2 + l. Let s(i) = -5*i**2 + 8*i. What is c*s(g) - 6*p(g)?
g**2 + 2*g
Let z(f) = f**2 - 7*f + 5. Let g be z(4). Let t(m) be the third derivative of 0*m + 3/2*m**3 + 5/24*m**4 + 2*m**2 + 0. Let y(k) = 2*k + 4. Give g*y(j) + 3*t(j).
j - 1
Let p(b) = -b. Let r(f) = -2*f**2 + 3*f. Suppose 8 = -2*q - 5*l, -82*q = -77*q + 5*l + 5. Calculate q*r(z) + 3*p(z).
-2*z**2
Let y(q) = 2*q**2 - 3*q + 15. Let t(d) = -5*d**2 + 7*d - 30. What is 3*t(m) + 7*y(m)?
-m**2 + 15
Let c(p) = -2*p + 6. Let v be c(4). Let g(b) = 3*b - 5*b**2 - 2*b + 0 - 2 - 3*b. Let r(w) = 14*w - 17*w - w**2 - 3 + w**2 - 6*w**2. Determine v*r(u) + 3*g(u).
-3*u**2
Let t(k) be the second derivative of k**3/2 + k**2 + 48*k - 1. Let g(s) = -4*s - 3. Calculate -2*g(y) - 3*t(y).
-y
Let o(d) be the third derivative of -d**4/24 - d**3/6 + d**2. Let s(m) be the first derivative of 5*m**2/2 + 5*m + 21. Determine -9*o(k) - 2*s(k).
-k - 1
Let r(g) = -g**2 - 1. Let v(h) = 4*h**2 - 6. Let m = 673 - 671. Give m*v(x) + 6*r(x).
2*x**2 - 18
Let g(k) = 125*k**2 - 3*k - 3. Let h(x) = 376*x**2 - 8*x - 8. Give 8*g(d) - 3*h(d).
-128*d**2
Let q(k) = 12*k**3 + 5*k**2 + 7*k. Let a(t) = -6*t**3 - 3*t**2 - 4*t. Suppose -37*y + 72*y - 175 = 0. Calculate y*a(p) + 3*q(p).
6*p**3 + p
Let u be 56 - -10 - (1 + -1). Let z = -64 + u. Let l(a) = 4*a + 1. Let b(c) = -3*c. Give z*l(d) + 3*b(d).
-d + 2
Let j(v) = 18*v - 24. Let y(c) = -6*c + 8. Let f(z) = 4*j(z) + 11*y(z). Let h(a) = 527 - 526 + 164*a - 165*a. Calculate -f(b) - 8*h(b).
2*b
Let z(d) = 10*d**2 - 2*d + 145. Let v(g) = 8*g**2 - 2*g + 143. Calculate -4*v(n) + 3*z(n).
-2*n**2 + 2*n - 137
Let f(v) = 199*v**2 + 6*v + 3. Let o(d) = 199*d**2 + 4*d + 2. Determine 2*f(k) - 3*o(k).
-199*k**2
Let u be (-2)/(2/1) - 1. Let b(h) = h. Let r(v) = -4*v + 1. Suppose 0 = -162*m + 295 - 1267. Calculate m*b(g) + u*r(g).
2*g - 2
Let h(s) = -2*s + 5. Let a(x) be the first derivative of -x**2/2 + x + 93. Determine -3*a(y) + h(y).
y + 2
Let u(l) = 4*l**2 + 3*l. Let i be 6/(-28 - -4)*-4. Let j be 2/i*(-11)/(-22) + -4. Let p(r) = 3*r**2 + 2*r. Give j*p(m) + 2*u(m).
-m**2
Let c(i) = -i**2 + 2*i + 13. Let k(x) = x**2. What is c(t) + 3*k(t)?
2*t**2 + 2*t + 13
Let a(b) = 61*b**2 + 18. Let t(o) = 31*o**2 + 11. Calculate -3*a(x) + 5*t(x).
-28*x**2 + 1
Suppose 4*m + 57 = -4*n + 105, 3*m = n. Let y(q) be the first derivative of -5*q**4/2 + 2. Let r(x) = -5*x**3. Determine n*r(w) - 4*y(w).
-5*w**3
Let a(o) be the second derivative of o**4/12 - o**2/2 + 12*o. Let q(u) = u**2 + 6*u**2 - 4 - u**3 - 3*u**2. Determine -4*a(w) + q(w).
-w**3
Let y(r) = 12*r**2 - 3*r + 25. Let i(q) = 17*q**2 - 4*q + 38. Calc