p + 3. Give -5*d(h) - 8*u(h).
-2*h + 2
Let g(p) be the first derivative of -p**4/4 - p**2 - 3*p - 43. Let u(t) = t**3 - 1. What is -g(w) + 2*u(w)?
3*w**3 + 2*w + 1
Let m(p) = 406*p**2 + 4*p - 10. Let o(d) = 203*d**2 + 2*d - 4. What is 2*m(j) - 5*o(j)?
-203*j**2 - 2*j
Let r(f) = 8*f**2 + 6*f - 11. Let z = 1 + -7. Let n(i) = -7*i**2 - 5*i + 10. Let x(h) = z*r(h) - 7*n(h). Let g(y) = y**2 - y - 6. What is -5*g(m) + 7*x(m)?
2*m**2 - 2*m + 2
Let g(m) = 3*m - 2. Suppose 15*x - 69 + 9 = 0. Let v be (x/(-14))/(7 - (-500)/(-70)). Let k(n) = -4*n + 1. Determine v*k(d) + 3*g(d).
d - 4
Let o(r) = r. Let b(i) = 10*i**2 + 8*i - 3. Calculate -b(x) + 6*o(x).
-10*x**2 - 2*x + 3
Let t(y) = 85*y**2 - 4*y + 3. Let a(u) = -43*u**2 + 2*u - 1. Determine 5*a(n) + 2*t(n).
-45*n**2 + 2*n + 1
Let n = 361 + -362. Let t(g) = -g + 1. Let u(i) = -4*i**3 + 4*i - 2. What is n*u(a) - 4*t(a)?
4*a**3 - 2
Suppose 5*m + 22 = -2*l, 9 = -13*m + 10*m + 3*l. Let a(f) = -6*f**2 + 2*f - 6. Let p(d) = -5*d**2 + d - 5. What is m*p(j) + 3*a(j)?
2*j**2 + 2*j + 2
Let j(g) = -2*g**2 + 4*g + 6. Suppose 0 = 3*w + 5*v - 7*v - 15, -3 = w + 2*v. Let m(t) = -671*t**2 - 5*t + 668*t**2 + 12*t + 11. Give w*m(s) - 5*j(s).
s**2 + s + 3
Let n = 225 - 219. Let h(w) = -2*w**3 + w**2 + 4*w + 6. Let p(c) = -c - 1. What is n*p(d) + h(d)?
-2*d**3 + d**2 - 2*d
Let z(i) = -11*i**3 + 63*i**2 - 18*i + 7. Let f(j) = -5*j**3 + 31*j**2 - 8*j + 3. Give 9*f(g) - 4*z(g).
-g**3 + 27*g**2 - 1
Let w(r) be the second derivative of -5*r**4/12 + r**3/6 - 5*r**2/2 - 3*r - 3. Let d(b) = 11*b**2 - 3*b + 11. What is -3*d(f) - 7*w(f)?
2*f**2 + 2*f + 2
Let i(s) = s**3 - 9*s**2 + 223. Let g(o) = o**3 - 11*o**2 + 224. Give -5*g(m) + 6*i(m).
m**3 + m**2 + 218
Let q(o) = 2*o + 1. Let t(s) = 1 + 2 - 1 + 5*s - s. Let z(v) = v**3 - 11*v**2 + 12*v - 23. Let k be z(10). Let b be (-9 - 9/k) + 4. Calculate b*t(n) + 5*q(n).
2*n + 1
Let v(z) = -z**3 + z**2 - z. Let r(n) = -2*n**3 - n**2 - n + 5. What is -r(x) + v(x)?
x**3 + 2*x**2 - 5
Let g(n) = -53*n + 17. Let h(x) = 27*x - 9. Determine -6*g(q) - 11*h(q).
21*q - 3
Let n(m) = -9 - 7*m - 3 + 4. Let f(b) = 20*b + 23. Suppose -4*j = -2*j - 34. Let x(w) = w**2 + 10*w + 15. Let k be x(-9). Give j*n(r) + k*f(r).
r + 2
Let o(f) = 5*f**3 - 2*f**2 + 2*f - 11. Let n(l) = 23*l**3 - 11*l**2 + 11*l - 53. Calculate -2*n(b) + 11*o(b).
9*b**3 - 15
Let l(i) = -3. Let d(t) = 16. Let z(w) = -1. Let c(o) = d(o) + 8*z(o). Let r(n) = 4*c(n) + 11*l(n). Let b(p) = -p**2 + 2*p - 5. Give -b(g) + 6*r(g).
g**2 - 2*g - 1
Let l(t) = -180565*t**3 + 737*t**2 - 1474*t - 737. Let x(q) = -734*q**3 + 3*q**2 - 6*q - 3. What is 3*l(d) - 737*x(d)?
-737*d**3
Let l(b) = -3*b**2 + 2*b - 2. Let q(t) be the third derivative of -t**5/12 + 5*t**4/24 - 5*t**3/6 - 129*t**2 + 2. Calculate -5*l(h) + 2*q(h).
5*h**2
Let m(f) = 3*f**3 + 2*f**2 - 4*f - 3. Let c(o) = 6*o**3 + 4*o**2 - 7*o - 6. Calculate 4*c(n) - 7*m(n).
3*n**3 + 2*n**2 - 3
Let u(x) = -4*x - 1. Suppose 3*d + 9 + 0 = 0, 0 = o + d + 119. Let w = -110 - o. Let q(k) = -4*k - 1. Determine w*q(i) - 5*u(i).
-4*i - 1
Let b(c) = 278*c**2 - 11*c - 29. Let f(u) = 92*u**2 - 4*u - 10. What is -4*b(k) + 11*f(k)?
-100*k**2 + 6
Let f(l) = 1. Let d(k) = 3*k - 25. Determine -d(c) - 6*f(c).
-3*c + 19
Let n(u) = -u**2 - 1. Let a(r) = 3*r**2 + 6. Let z(m) be the second derivative of m**3/2 + 17*m**2/2 - 7*m. Let t be z(-6). What is t*a(p) - 6*n(p)?
3*p**2
Let m(q) = -q. Let w(f) be the first derivative of f**3/3 + 128. Calculate m(v) + 3*w(v).
3*v**2 - v
Let c(f) be the second derivative of -f**5/20 + f**4/12 - f**3/3 + 4*f**2 + 11*f - 5. Let b(x) = 5*x**3 - 4*x**2 + 9*x - 31. Calculate 2*b(y) + 9*c(y).
y**3 + y**2 + 10
Let c(j) = 7*j + 190. Let q(w) = 4*w + 114. Let y(h) = 3*c(h) - 5*q(h). Suppose 12 = 3*k - 3*g + 8*g, 0 = 2*g. Let r(f) = -f - k*f + 2*f. Give 2*r(b) + 9*y(b).
3*b
Let q(m) = -12*m**2 + 35*m - 6. Let n(s) = -2*s**2 - s - 1. Determine -5*n(j) + q(j).
-2*j**2 + 40*j - 1
Let x(d) = -2*d**2 + d - 6. Let y(t) = -3*t**2 + t - 7. Let v be (-9)/(-24) - 270/(-48). Give v*x(r) - 5*y(r).
3*r**2 + r - 1
Let a = 2488 + -2483. Let s be -2*((-5)/(-2) + -3). Let g(q) = -q**3 + 5*q - 5. Let j(i) = i**3 - i + 1. Calculate a*j(c) + s*g(c).
4*c**3
Let n(p) = 2*p + 578. Let b(x) = x + 195. Give -11*b(z) + 4*n(z).
-3*z + 167
Let t(m) = -3*m**2 + 1. Let k(i) = i**2. Let c = -30 - -30. Suppose c = -2*a - 0 + 2. Give a*t(x) + 4*k(x).
x**2 + 1
Let w(s) be the first derivative of -3*s**2/2 - s + 15. Let r(c) = -13*c - 3. Determine -2*r(n) + 9*w(n).
-n - 3
Let d(i) = -i**2 - 11*i + 2. Let h(c) = -c**2 - c. Determine d(m) - 2*h(m).
m**2 - 9*m + 2
Let q(k) = -7*k - 5. Let l(s) = -3*s + 32. Let r(z) = -5*z + 73. Let w(n) = -9*l(n) + 4*r(n). What is -3*q(o) - 4*w(o)?
-7*o - 1
Let a(l) = -7*l. Let f(m) = -6*m - 1. Calculate 4*a(x) - 6*f(x).
8*x + 6
Let y(j) = 4*j + 9. Let b(v) = -2*v - 5. Let i be 9 - 4 - -4*(-1)/(-4). Determine i*y(s) + 11*b(s).
2*s - 1
Let a(l) be the first derivative of -13*l**4 - 39. Let s(n) = 21*n**3. Determine 5*a(i) + 12*s(i).
-8*i**3
Suppose -13*r + 71 = 149. Let h(g) = 14*g + 30. Let n(w) = 5*w + 10. What is r*h(f) + 17*n(f)?
f - 10
Let r(k) = -199*k - 3. Let f(i) = -100*i - 1. Determine 7*f(t) - 3*r(t).
-103*t + 2
Let r(z) be the second derivative of -z**3/2 - 7*z**2 - z. Let i be 3 + -1 + (3 - 3). Let k(a) = -9 + i*a - 4*a + 0*a. Determine 8*k(u) - 5*r(u).
-u - 2
Let s(u) = -u**2 - u + 4. Let l(f) = 16*f**2 - 11*f - 7. Determine -l(h) - 2*s(h).
-14*h**2 + 13*h - 1
Let p(z) = 36*z**2 - 23*z + 19. Let g(s) = 24*s**2 - 16*s + 13. Calculate -7*g(a) + 5*p(a).
12*a**2 - 3*a + 4
Let r(i) = 23*i**2 + 23*i + 23. Let j be 63 + (1 - 0)*-3. Let x = j - 54. Let y(n) = -4*n**2 - 4*n - 4. Give x*r(p) + 34*y(p).
2*p**2 + 2*p + 2
Let j(z) = -z**2 - 2*z - 2. Suppose -7*l - 4*r - 8 = -9*l, l - 7 = 5*r. Let x(d) = -4*d**2 - 11*d - 9. What is l*x(w) - 11*j(w)?
3*w**2 + 4
Let i(o) = -5*o. Let c(g) = -8*g - 1. Let m(u) = 3*c(u) - 5*i(u). Let v(h) = h - 4. Let q(l) = -l + 4. Let a(x) = -5*q(x) - 4*v(x). Give -3*a(n) + 4*m(n).
n
Let g(j) = j**2 + 1. Let s(k) = 28*k**2 + 6*k**2 + 18 + 6*k**2 + 18. Give -72*g(z) + 2*s(z).
8*z**2
Let p(m) = m**2 - m - 1. Let z(a) = -40*a**2 + 24*a + 24. Suppose 8*l - 133 = 59. Calculate l*p(v) + z(v).
-16*v**2
Let b(o) = o**3 - o**2 + o. Let u(x) = -3*x**3 + 7*x**2 - 4*x. Determine 6*b(y) + u(y).
3*y**3 + y**2 + 2*y
Let c(b) = -9 + 27*b - 32*b + 8. Let g(d) = -6*d - 1. Determine -4*c(k) + 3*g(k).
2*k + 1
Let a(c) be the second derivative of -c**4/12 + c**3 - 2*c**2 + 6*c. Let p(o) = o**2 - 5*o + 3. Let v be 1 + 0 + -7*(-6)/21. Determine v*a(b) + 4*p(b).
b**2 - 2*b
Suppose -4 = -y - 8. Let h(o) = -o**2 + 4*o. Let b(n) = 3*n**2 - 15*n. Determine y*b(m) - 15*h(m).
3*m**2
Let i(k) = 2*k**2 + 2*k - 2. Let d(o) = -2*o**2 + 7*o - 1. Give d(g) - 3*i(g).
-8*g**2 + g + 5
Let o(p) = -417*p + 0 + 7 + 13*p**2 - 9*p**3 + 404*p. Let x(n) = 3*n**3 - 4*n**2 + 4*n - 2. What is -2*o(q) - 7*x(q)?
-3*q**3 + 2*q**2 - 2*q
Let x(c) be the third derivative of -c**2 + 0*c + 0 + 0*c**3 - 3/8*c**4 - 1/5*c**5. Let k = 126 - 117. Let y(t) = -t**2 - t. What is k*y(z) - x(z)?
3*z**2
Let g(h) = -4*h**2 + 5*h - 2. Let n(t) = 8*t**2 - 4*t + 3. Determine -3*g(d) - 2*n(d).
-4*d**2 - 7*d
Let p(z) = -2*z**2 + 6*z + 8. Let c(y) = -2*y**2 + 6*y + 10. What is -2*c(s) + 3*p(s)?
-2*s**2 + 6*s + 4
Let n(r) = -r + 8 + 4 - 11. Let v(a) = 1. What is -n(u) + 3*v(u)?
u + 2
Let j(c) = -6*c**2 + 26*c - 3. Let r = 542 - 548. Let x(q) = -2*q**2 + 9*q - 1. Give r*j(y) + 17*x(y).
2*y**2 - 3*y + 1
Let n(i) = -i**2 + 0*i**2 - 2*i**2 - 7*i - 2. Let s(r) = -2*r**2 - 4*r - 1. Let v = 436 - 430. What is v*n(a) - 10*s(a)?
2*a**2 - 2*a - 2
Let f(r) = 9*r**2 + 6*r - 6. Let t = 7117 - 7106. Suppose 2*c - 4 = -4*x, 3*c = c + x - 16. Let g(o) = 17*o**2 + 11*o - 11. Give c*g(y) + t*f(y).
-3*y**2
Suppose 117*p = 107*p + 30. Let w(s) be the second derivative of -s**4/12 + 5*s**3/6 + 3*s**2/2 - s. Let b(f) = 3*f**2 - 11*f - 7. Give p*b(c) + 7*w(c).
2*c**2 + 2*c
Let q(f) = 5*f**3 - 3*f**2 - 3*f. Let m(x) be the first derivative of -7/2*x**2 + 0*x + 11/4*x**4 - 7/3*x**3 - 8. Give -3*m(g) + 7*q(g).
2*g**3
Let r(t) = -38*t + 18. Let q(z) = 13*z - 6. What is -8*q(f) - 3*r(f)?
10*f - 6
Let u(f) = -23*f**3 - 5*f**2 - 5*f - 6. Let b(q) = 22*q**3 + 7*q**2 + 6*