+ 1
Let w(v) be the first derivative of -v**2/2 + v - 1. Let y(j) be the third derivative of -j**4/12 - 2141*j**2. Determine w(s) - y(s).
s + 1
Let m(h) = -h**2 - 2*h. Let c(b) = -3*b**2 - 9*b. Let j be (-4 - (-51)/12)*6*-12. Calculate j*m(q) + 4*c(q).
6*q**2
Let c(x) = -x**2 - 5. Let i be (-2 - -3)/((-5)/(-10)). Suppose -i*f + 2 = -2. Let l(r) = -r**2 - 6. Calculate f*l(a) - 3*c(a).
a**2 + 3
Let x be ((-27)/5 + (-95)/(-19))*-10. Let u(j) = -2*j + 5. Let b(z) = 5*z - 15. What is x*b(y) + 11*u(y)?
-2*y - 5
Let a(c) = -5291*c**2 + 221*c. Let f(r) = -143*r**2 + 6*r. Determine -6*a(g) + 221*f(g).
143*g**2
Let z be 6/(-60) + 366/60. Let v(y) = y + 1. Let w be v(0). Let i(j) = 0 + 4 + w - 3*j**2. Let h(f) = -4*f**2 + 6. Give z*i(d) - 5*h(d).
2*d**2
Let f(q) = -3*q - 7. Let n(b) = 1. Calculate f(j) + 5*n(j).
-3*j - 2
Let k(u) = 17*u + 4. Let s(h) be the second derivative of 17*h**3/6 + 3*h**2/2 + h + 779. Determine -3*k(i) + 4*s(i).
17*i
Suppose 2*k = -4*j + 12, 2*j + 15 = 7*j - k. Let f(r) be the first derivative of r**3 - 4*r**2 + 8*r + 1. Let b(q) = -q**2 + 3*q - 3. Give j*f(h) + 8*b(h).
h**2
Let n(t) = -5*t + 4. Let y(m) = 1. Let q = 66 - 70. Give q*y(c) + n(c).
-5*c
Let a(m) be the third derivative of m**5/60 - m**3/6 + 2*m**2. Let t(o) = -2*o**3 - o**2 + 1. What is -3*a(d) - 3*t(d)?
6*d**3
Let q(r) = 6*r - 106. Let w(i) = 2*i - 1. Determine -q(d) + w(d).
-4*d + 105
Let f(z) = z. Suppose -5*q = 3*k - 6*k - 111, -3*q + 69 = -k. Let u(c) = 30*c. Give q*f(y) - u(y).
-6*y
Let f(w) = 3*w**2 + 139*w + 19. Let b(p) = p**2 + 46*p + 7. What is -8*b(l) + 3*f(l)?
l**2 + 49*l + 1
Let s(t) = -12*t - 9. Suppose 5*v - 28 = 3*z, -17*v + 20*v = -4*z - 18. Let f(o) = 11*o + 8. Give z*s(d) - 7*f(d).
-5*d - 2
Let i(p) = 1422*p - 16. Let l(m) = -m + 4. What is -i(s) - 4*l(s)?
-1418*s
Let j(v) be the third derivative of -v**4/24 + v**2. Let b be (9 + 5 + -13)/1. Let f(k) = -3*k - 2. Calculate b*f(c) - 2*j(c).
-c - 2
Let a(n) = 2*n - 1. Suppose 8 = -4*u + 6*u. Let h(m) = -m. What is u*h(o) + a(o)?
-2*o - 1
Let a(j) = 1. Suppose -4*k - 3 = 1. Let x = 0 - k. Let r(b) = -2*b - 1. Let l(v) = 5*v**2 + 119*v - 22. Let y be l(-24). Calculate x*r(s) + y*a(s).
-2*s + 1
Let x(y) = 1. Let s(g) = -13*g - 6. Let i(n) = 5*n + 3. Let l(w) = 5*i(w) + 2*s(w). Calculate l(u) - 5*x(u).
-u - 2
Let w = 3 + -1. Let c(t) = -5 - w + 5 - 3*t + 0. Suppose -10 = 4*l + 2*i, 5*l + 17 = -i - 3*i. Let x(u) = u. Give l*c(b) - 2*x(b).
b + 2
Let s(b) = 2*b**2 + b + 1. Let z(n) = -n**2 + n + 3. What is 4*s(h) - z(h)?
9*h**2 + 3*h + 1
Suppose 2*y - 20 = v + 15, y = v + 34. Let x = v + 35. Let n(j) = 3*j**2 - 2*j. Let s(f) = 4*f**2 - 3*f - 1. Calculate x*s(i) - 3*n(i).
-i**2 - 2
Let a(q) = -2*q + 1. Let f(r) = 335*r - 268. Calculate -268*a(o) - f(o).
201*o
Let j(p) be the second derivative of 3*p**5/10 + 7*p**3/6 + 32*p. Let h(a) = -4*a**3 + a - a - 5*a. Give -7*h(u) - 5*j(u).
-2*u**3
Let v = -22 + 25. Let f be (v/4)/((-1)/8). Let g = f + 5. Let l(r) = -4*r + 6. Let o(w) = -w + 1. Calculate g*l(n) + 6*o(n).
-2*n
Let h(j) = -31*j**2 + 7*j + 1. Let b(g) = -31*g**2 + 6*g + 1. Give -7*b(z) + 6*h(z).
31*z**2 - 1
Let l(v) = -27*v + 2. Let a(i) = -27*i + 2. Calculate 6*a(d) - 5*l(d).
-27*d + 2
Let z(c) = 3*c**2 + 6*c + 8. Let a(n) = -n**2 - 3*n - 4. Suppose 0 = 29*b - 33*b + 12. Calculate b*z(u) + 7*a(u).
2*u**2 - 3*u - 4
Let t(q) = -2. Let w(d) = d - 3. Suppose 1 = -5*u - 3*g - 2, -1 = -4*u + g. Suppose 3*s + 4 - 10 = 0. Suppose -s*x - 5 + 11 = u. Determine x*t(m) - 2*w(m).
-2*m
Let s(k) = -6*k**2 + 65*k - 5. Let c(y) = -y**2 + 8*y. Calculate 8*c(w) - s(w).
-2*w**2 - w + 5
Let o(n) = -2*n**2 + 2*n. Let s(p) = p**2 + 2*p. Let t be s(-2). Let k = 2 + t. Let z be (k/6)/((-1)/3). Let b(x) = -x**2 + x. Determine z*o(j) + 3*b(j).
-j**2 + j
Let v(i) = -i**2 - i. Let z(c) = c**3 + 4*c**2 + 13. Calculate 2*v(d) + z(d).
d**3 + 2*d**2 - 2*d + 13
Let j(v) = v**3 + 6*v**2 + 9*v + 17. Let u be j(-5). Let k(y) = 4*y + 1. Let i(m) = 2*m. Calculate u*k(f) + 5*i(f).
-2*f - 3
Let m(b) = -b**3 + b**2 + b - 1. Let j(w) = -8*w**3 + 9*w**2 - 126*w - 9. Determine -2*j(v) + 18*m(v).
-2*v**3 + 270*v
Let g(a) = -2*a**2 - 1. Let p(y) = 10*y**2 + y + 6. Let x be -15 + 21 + (0 - (2 + -7)). Determine x*g(t) + 2*p(t).
-2*t**2 + 2*t + 1
Let m(r) = -6*r - 4. Let s(y) = -y + 2. Let h(t) = -1. Let f(b) = -3*h(b) - s(b). Let i be ((-15)/(-9)*3)/(8/16). Calculate i*f(g) + 2*m(g).
-2*g + 2
Let t(x) = -2*x**2 - 9*x - 8. Let k = 9 + -17. Let b(j) = 198 - 391 + 190 + 0*j**2 - j**2 - 3*j. What is k*b(w) + 3*t(w)?
2*w**2 - 3*w
Let q(l) = -21*l**2 - 11. Let a(f) = -7*f**2 - 3. Give -14*a(x) + 4*q(x).
14*x**2 - 2
Let g(i) = -5*i - 15. Let q(t) = 3*t + 1. Calculate -g(h) + 6*q(h).
23*h + 21
Let p(y) = y + 1. Let n(r) = 8*r - 24. What is -n(h) - 5*p(h)?
-13*h + 19
Let b(z) = -2*z**3 - z - 1. Let s(l) = -43*l**3 - 2*l - 2. Determine 2*b(d) - s(d).
39*d**3
Let b(l) = l + 2. Let s(o) = -150*o**2 - 8*o - 13. What is 6*b(f) + s(f)?
-150*f**2 - 2*f - 1
Let c(l) = -l**2 + 4*l + 4. Let g be c(5). Let p(o) = 3*o + 3. Let r(f) = -14*f - 5. Let y(b) = 3*b + 1. Let u(a) = 2*r(a) + 9*y(a). What is g*p(v) - 4*u(v)?
v + 1
Let q(z) = -16*z**2 - 17*z. Suppose -5*y + 4*y - x = -7, -16 = -2*y - 4*x. Let c(m) = 5*m**2 + 6*m. Determine y*q(j) + 17*c(j).
-11*j**2
Let j(g) = -2*g. Let b(i) = -255*i - 2. Calculate b(a) + 6*j(a).
-267*a - 2
Let h(d) = 5*d - 8. Suppose -35 = 5*w + k, -2*w + 14*k - 13*k = 7. Let o(q) = 6*q - 9. Determine w*o(c) + 7*h(c).
-c - 2
Let s(z) = 5*z**2 - 13. Let q(r) = -2*r**2 + 6. Let m = 26 - 46. Let t be 3/(-3 - m/8). Calculate t*s(g) - 13*q(g).
-4*g**2
Let n(h) = 38*h. Let o(l) = 41*l - 1. Determine -2*n(m) + 3*o(m).
47*m - 3
Let w(o) = 6*o + 16. Let t(x) = 23*x - 36. Let c(s) = 4*s - 7. Let z(n) = -11*c(n) + 2*t(n). What is -3*w(g) + 10*z(g)?
2*g + 2
Let k(t) = 2*t**2 - 2. Let j(x) = -x**2. Suppose -15*h = -10*h - 75. Let v be 47/15 + (-2)/h. What is v*j(d) + k(d)?
-d**2 - 2
Let d(w) = -2*w - 1. Let q(o) = o + 4. Let t(s) = s + 1. Let k(x) = 6*x + 11. Let i(n) = -k(n) + 5*t(n). Let u(y) = 5*i(y) + 8*q(y). Give -5*d(r) - 3*u(r).
r - 1
Let a(n) = 133*n + 77. Let i(c) = 31*c + 7. Let r(y) = -85*y - 20. Let m(q) = 8*i(q) + 3*r(q). Calculate 4*a(t) + 77*m(t).
-7*t
Let b(o) = -32*o. Let s(n) be the second derivative of 8*n**3/3 - 385*n. What is 2*b(h) + 5*s(h)?
16*h
Let d(h) = 3*h**2 - h + 5. Let v(j) = 4*j**2 + 6. Let c be 48/84*14/4*2. Let f(i) = c*v(i) - 5*d(i). Let n(g) = -g. What is -f(b) - 5*n(b)?
-b**2 + 1
Let j(m) = -m**2 - m - 1. Let x be (1104/(-60))/((-2)/5). Let k = x + -64. Let n(l) = 15*l**2 + 18*l + 18. Calculate k*j(z) - n(z).
3*z**2
Let r(m) = -m**2 + m + 1. Let p(g) = g**3 + 2*g**2 - 2*g - 2. Let z(h) = p(h) + 3*r(h). Let l(c) = 8*c**3 - 4*c**2 + 6*c + 6. Give -l(u) + 6*z(u).
-2*u**3 - 2*u**2
Let j(p) = -p**3 - 2*p**2 + 3*p + 3. Let d(n) = -n**3 - 3*n**2 + 2*n + 4. Give 2*d(t) - 3*j(t).
t**3 - 5*t - 1
Let h = -15 - -5. Let q(o) = -o - 2. Let n(l) = -4*l - 6. Suppose y = k + 86 - 87, 0 = 4*k - 16. Calculate h*q(s) + y*n(s).
-2*s + 2
Let t be -4 + 0/(-4) + -14. Let u be (-20 - t)*6/(-4). Let g(o) = 2*o**2 - o - 5. Let m(q) = 4*q**2 - 2*q - 9. Determine u*m(k) - 5*g(k).
2*k**2 - k - 2
Let c(x) = -7*x**2 - 7*x + 6. Let t(h) = -13*h**2 - 12*h + 10. What is -5*c(p) + 3*t(p)?
-4*p**2 - p
Let p(w) = -3*w**2 - 11*w - 2. Let l(f) = 2*f**2 + 11*f + 3. Determine -3*l(i) - 4*p(i).
6*i**2 + 11*i - 1
Let h(w) be the second derivative of -w**4/12 + w**3/6 - 3*w**2/2 - 76*w. Let n(m) = 2*m**2 - 3*m + 7. Give 5*h(g) + 2*n(g).
-g**2 - g - 1
Let x(l) = -2*l**2 + 3*l - 2. Let f be x(2). Let a(c) = 1. Let z(m) = 73 - 21 - 57 - 2*m. Give f*a(g) - z(g).
2*g + 1
Let m(a) = -3*a**3 - 10*a**2 - 9*a. Let o(d) = -d**3 + 5*d**2 - 39*d + 107. Let w be o(3). Let y(i) = -5*i**3 - 15*i**2 - 14*i. Give w*m(k) - 5*y(k).
k**3 - 5*k**2 - 2*k
Suppose 66*z = -331 - 65. Let k(x) = 9*x + 8. Let d(o) = -o - 1. What is z*d(w) - k(w)?
-3*w - 2
Suppose 246*f - 279*f + 297 = 0. Let d(h) = 2*h**3 + 3*h**2 - 5*h**3 - 4*h**2 - 2 - 4*h. Let a(i) = -7*i**3 - 2*i**2 - 9*i - 4. Give f*d(g) - 4*a(g).
g**3 - g**2 - 2
Let k(g) = 6*g**2 - 3*g + 5. Let m(b) = b**2 - b + 1. Let s be (16 + -19)*2/3. Let a(d) = -3*d - 2. Let h be a(s). Determine h*m(q) - k(q).
-2*q**2 - q - 1
Let j(p) = -2*p + 39