- 1
Let u(i) = 21*i**2 - 18*i. Let b(g) be the first derivative of -4 + 5/2*g**2 + 0*g - 2*g**3. Calculate 18*b(v) + 5*u(v).
-3*v**2
Let m(y) = -14*y. Let g(w) = -w. Let f(p) = p. Suppose 6 + 24 = 5*u. Let i(n) = u*g(n) + f(n). Give -11*i(c) + 4*m(c).
-c
Let z(a) = 9*a**2 + 17*a + 1. Let v(f) = 13*f**2 + 25*f + 2. What is 5*v(b) - 7*z(b)?
2*b**2 + 6*b + 3
Let q(p) = 7*p**2 + 9*p - 7. Let w(z) = z**2 + 12*z + 39. Let b be w(-8). Let h(t) = 10*t**2 + 13*t - 10. Calculate b*q(k) - 5*h(k).
-k**2 - 2*k + 1
Let j(p) = -13*p - 1. Let z(g) = g + 2. Determine -j(r) - z(r).
12*r - 1
Let z(u) be the second derivative of -7*u**3/6 - u**2 + 6*u + 3. Let b(g) = -3*g - 1. What is 10*b(k) - 4*z(k)?
-2*k - 2
Let o(b) = b**3 - b**2. Let q(z) = -2*z**3 + 3*z**2 + 9. What is -3*o(r) - q(r)?
-r**3 - 9
Let p(f) = -5*f**2. Let t be 10/3*(-2)/((-4)/(-3)). Let g(o) = -5. Let a(i) = -i**2 - 4. Let q(n) = 5*a(n) - 4*g(n). Calculate t*p(y) + 6*q(y).
-5*y**2
Let h(s) = -2*s**2 + 2*s - 1. Let x(v) = -17*v**2 + 4*v - 5. What is 5*h(g) - x(g)?
7*g**2 + 6*g
Let x(m) = 19*m**3 - 10*m**2 + 2*m + 4. Let n(s) = -18*s**3 + 8*s**2 - s - 3. Determine -4*n(f) - 3*x(f).
15*f**3 - 2*f**2 - 2*f
Let o(u) = 4*u + 223. Let y(x) = -9*x - 450. Calculate 13*o(j) + 6*y(j).
-2*j + 199
Let t(m) = -9*m + 2. Let s be (444/(-6) + 8)/(-2). Let z(c) = -144*c + 33. Determine s*t(o) - 2*z(o).
-9*o
Let i(v) be the first derivative of 7*v**2 - 7*v + 60. Let p(q) = -9*q + 5. Determine 5*i(c) + 8*p(c).
-2*c + 5
Let l(g) = g - 1. Let o(b) = -2*b**3 - 3*b**2 + 8. Give 3*l(y) + o(y).
-2*y**3 - 3*y**2 + 3*y + 5
Let f(s) = -s - 1. Let t(v) = 30*v - 3 - 16*v - 18*v. What is 6*f(c) - t(c)?
-2*c - 3
Let r(t) = -4*t**2 + 5*t + 5. Let s(u) = 1 + 6*u + 8 - 5*u**2 - 3. Suppose 0 = 7*f - 0 - 42. What is f*r(n) - 5*s(n)?
n**2
Let a(t) = -5*t**3 + 2*t**2 - 8*t + 8. Let r(y) = -202*y - 2*y**3 + 3 - 61*y + 260*y + y**2. Suppose 8*q = 4*q - 32. Determine q*r(f) + 3*a(f).
f**3 - 2*f**2
Let x(y) = 2 - 3 + 3 - y + 2. Let h = -8 + 11. Let p(r) = 4 + 0 - h. What is 3*p(w) - x(w)?
w - 1
Let m(r) = -9*r**2 + 11*r + 19. Let n(s) = 4*s**2 - 5*s - 9. Give -2*m(i) - 5*n(i).
-2*i**2 + 3*i + 7
Let b(o) = 4*o - 2. Let v be 32 + -30 - (-5 + 0). Let h(u) = -3 + 9*u + 2 - 3. Determine v*b(s) - 3*h(s).
s - 2
Let l(j) be the third derivative of j**4/3 - 8*j**3/3 + 2*j**2 + 2. Let p(y) = y - 1. Determine l(h) - 10*p(h).
-2*h - 6
Suppose -5*w + w = 20. Let g(s) = -2*s + 14. Suppose 2*j - 2 = 32. Let m(t) = 8 + 38*t - j*t + 1 - 22*t. Calculate w*g(f) + 8*m(f).
2*f + 2
Let p(s) = -9*s + 4. Let r(l) be the second derivative of l**3/6 - l**2/2 - 81*l. Give -p(t) - 5*r(t).
4*t + 1
Let g(v) = -108*v**2 + 18*v - 18. Let m(q) = -31*q**2 + 5*q - 5. Determine 5*g(r) - 18*m(r).
18*r**2
Let h(o) = 154*o - 17. Let z(v) = -77*v + 8. Calculate -4*h(c) - 9*z(c).
77*c - 4
Suppose 27 = 22*n - 19*n. Let c(s) = 4 + 0 - n*s + 1 - 3. Let r(j) = -5*j + 1. Let b(d) = d**2 + d + 11. Let w be b(0). Determine w*r(i) - 6*c(i).
-i - 1
Let x(u) = 24*u**3 - 99*u**2 - 9*u. Let j(g) = 11*g**3 - 49*g**2 - 4*g. What is 9*j(t) - 4*x(t)?
3*t**3 - 45*t**2
Let x(l) = -2*l + 2 - 5 + 0*l + 0*l. Suppose -5*v - 2*m + 23 = 2*m, 4*m = -2*v + 14. Let a(s) = v + 3*s - 2*s + 0*s + s. Give -5*a(n) - 4*x(n).
-2*n - 3
Let k(v) = -10*v**2 + 35*v - 12. Let r(d) = -20*d**2 + 68*d - 20. Give -5*k(h) + 3*r(h).
-10*h**2 + 29*h
Let o(p) = 2*p - 3. Let r(b) = -b + 1. Determine 6*o(m) + 21*r(m).
-9*m + 3
Let v(i) be the first derivative of -i**3/3 - i - 6. Let s(x) = -x**2 - 6*x - 6. Let o be s(-5). Let h(n) = -2*n**2 - 1. Give o*h(a) + 3*v(a).
-a**2 - 2
Let w(m) = -2*m. Let n be (-23)/(-7) - 2/7. Let l(r) = -2*r + 18. Let d(c) = c - 12. Let s(t) = -6*d(t) - 4*l(t). Determine n*s(j) + 2*w(j).
2*j
Let u(k) = 6*k**2 + k - 8. Suppose 4*j + 17 = -15. Let c be j/(-6)*(-3)/2. Let i be (-15)/c - 2/4. Let f(v) = 5*v**2 + v - 7. Determine i*f(y) - 6*u(y).
-y**2 + y - 1
Let z = -176 + 167. Let q(j) = 3*j**3 + 2*j**2 - 7*j + 9. Let n(t) = t**3 + t**2 - 3*t + 4. Give z*n(a) + 4*q(a).
3*a**3 - a**2 - a
Let c(p) = 84*p**3 + 1. Let r(j) = j**3 + 1. What is c(v) - r(v)?
83*v**3
Let h be -9 - (432/(-9))/4. Let m(c) = -6*c - 15. Let f(k) = -3*k - 8. Determine h*m(d) - 5*f(d).
-3*d - 5
Let o(s) = -6 - 9 - 3*s**2 + 5*s + 10. Suppose -29 = -5*d - 14. Let p(f) = 2*f**2 - 3*f + 3. Calculate d*o(h) + 5*p(h).
h**2
Suppose -14 = -2*u + 34. Let g(y) be the third derivative of -3*y**6/40 - 7*y**2 + 2*y. Let x(w) = w**3. Give u*x(q) + 3*g(q).
-3*q**3
Let j(y) = -y - 2. Suppose -6*v - 3 + 21 = 0. Suppose 0 = 10*i - 27 - v. Let x(s) = s + 1. What is i*x(u) + 2*j(u)?
u - 1
Suppose 3*c - 54 = -0*c. Suppose 0 = 9*u - 0 - c. Let k(p) = 4*p**2 + p - 4. Let v(s) = 5*s**2 + s - 5. Give u*v(o) - 3*k(o).
-2*o**2 - o + 2
Let g(m) = 33*m + 21. Let f(o) = -8*o - 5. Let u be (1/(-2)*-21)/((-1)/2). Let z be 1 + -3*1 + (-9)/3. Determine u*f(p) + z*g(p).
3*p
Let z(r) be the third derivative of r**5/60 + r**4/24 - r**3/2 - 81*r**2. Let j(t) = 5*t**2 + 4*t - 13. Determine 2*j(d) - 9*z(d).
d**2 - d + 1
Let x(c) = c**2 + 2. Let t(i) = 2*i**2 + 4. Suppose 0 = -n, 5*n = k - 0*n - 5. Calculate k*x(r) - 2*t(r).
r**2 + 2
Let w(k) = -4*k + 3. Let c(z) = -5*z + 4. Let l(y) = 4*c(y) - 6*w(y). Suppose -15 - 9 = 4*o. Let r(n) = -17*n + 9. Let a = -1077 + 1051. Give a*l(d) + o*r(d).
-2*d - 2
Let m(t) = -4. Suppose 0 = 6*h + 48 - 30. Let a(v) = v - 2 - 1 - 2*v. Determine h*m(z) + 4*a(z).
-4*z
Let a(z) = 1 - 4*z - 3 - 2. Let h = 13 - -43. Let v = -67 + h. Let y(f) = -7*f - 7. Calculate v*a(g) + 6*y(g).
2*g + 2
Let j(x) = -6*x**3 - 6*x**2 - 7*x + 4. Let r(h) = 2*h**3 - 1. Determine j(s) + 2*r(s).
-2*s**3 - 6*s**2 - 7*s + 2
Suppose -u - 45 = -2*u. Let g(x) = -x + 1. Let v(c) = -30*c + 45. What is u*g(k) - v(k)?
-15*k
Let f(y) = 3*y**2 + 15*y + 1. Let m be f(-5). Suppose -2*x - 23 = -m. Let c(s) = -6*s + 4. Let u(a) = -17*a + 11. Calculate x*c(l) + 4*u(l).
-2*l
Let h(m) = 8*m**2 + 2*m - 5. Let s(d) = -9*d**2 - d + 6. Calculate -4*h(r) - 3*s(r).
-5*r**2 - 5*r + 2
Let o(q) = 2*q + 2297*q**2 - 3*q - q**3 - 2297*q**2. Let u(d) = 3*d**3 + 2*d - 2. Suppose 2*p + 4 = 4*p. Give p*o(t) + u(t).
t**3 - 2
Let s(g) = -13*g**2 + 2*g + 2. Suppose 3*y - 8 = 45*b - 43*b, y + 2 = -4*b. Let j(i) = -352*i**2 + 55*i + 55. Determine y*j(q) - 55*s(q).
11*q**2
Let o be (-66)/14 + 2/(-7). Let g(p) = -2*p**2 + 2*p + 1. Let v(k) = 4 - 5*k**2 + k**2 + 5*k + 1 - 3. Let d = 62 - 60. Determine d*v(y) + o*g(y).
2*y**2 - 1
Let j(d) = 6 - 74*d + 30*d - 2 + 39*d. Let w be (-2 - 1)/(-1 + 0). Suppose -3*u - w = -2*u. Let y(i) = 11*i - 9. Determine u*y(n) - 7*j(n).
2*n - 1
Let r(m) = -4*m**3 + 2*m**3 - 2*m**3 - 6 + 2*m**3 + 4*m**2 + 4*m. Let x(h) = -3*h - 4*h - 6*h**2 - h**2 + 3*h**3 + 0*h**2 + 11. What is 7*r(s) + 4*x(s)?
-2*s**3 + 2
Let b(g) = -5412 + 2709 + 9*g - 12*g**2 + 2712. Let z(p) = -p**2 + p + 1. Determine -2*b(o) + 18*z(o).
6*o**2
Let a(d) = -10*d**3 - 5*d - 7. Let c(j) = j**3 + j - 1. Calculate a(g) + 5*c(g).
-5*g**3 - 12
Let u(z) = 45*z - 50. Let x(o) = 6. Calculate u(n) + 6*x(n).
45*n - 14
Let a(r) = -r**2 + r + 1. Let z(t) = 6*t**2 - 2*t - 2. Suppose 3 = 3*u + j - 3, j - 5 = -2*u. Give u*z(g) + 2*a(g).
4*g**2
Let x(j) be the second derivative of -j**4/12 - j**2/2 - 2*j + 5. Let y(q) = q**2 + 3. Calculate -3*x(i) - y(i).
2*i**2
Suppose o + 2*o = -24. Let w(i) = 3*i**2 + i. Let p be w(1). Suppose -3*u = -p*u + 1. Let d(r) = -6*r + 10. Let f(k) = -k + 1. Calculate o*f(j) + u*d(j).
2*j + 2
Let t(m) = m**3 + 10*m**2 + m + 4. Let p(q) = -q**2 - 1. Calculate -p(f) - t(f).
-f**3 - 9*f**2 - f - 3
Let g(a) = 14*a - 4. Let z(r) = -42*r + 14. Determine -20*g(o) - 6*z(o).
-28*o - 4
Let k(i) = -4*i - 3 + 4*i + 4*i**2. Let p(x) = 6*x**2 - 4. Let o(y) = 2*y**3 + 4*y**2 - 4*y - 2. Let a be o(-3). Give a*k(r) + 5*p(r).
-2*r**2 + 4
Let y(m) = 2*m - 153. Let a(k) = k - 1. Determine 4*a(n) - y(n).
2*n + 149
Let k(l) = 2*l + 21. Let g(i) = 5*i + 44. Let c(d) = 4*g(d) - 9*k(d). Let p(z) = -1. Calculate -c(m) + p(m).
-2*m + 12
Let v(s) = -26*s**2. Let f(m) be the second derivative of m**4/12 + 187*m. Give 44*f(a) + 2*v(a).
-8*a**2
Let z(d) = -d. Let u(a) be the second derivative of -a**4/4 + a**3 - 102*a. Let p(k) = k - 3 - 3 + 1. Let o be p(6). Determine o*u(c) + 6*z(c).
-3*c**2
Let a(f) = -f**2. Let h(p) = 