2*l**2 - 16
Suppose 39 - 54 = 3*d. Let w(o) be the first derivative of 2*o**3 + 2*o**2 + 7*o + 37. Let c(p) = 7*p**2 + 4*p + 8. Determine d*c(f) + 6*w(f).
f**2 + 4*f + 2
Let c(n) = -n. Let r(p) = 2*p**2 + 4*p + 2. Suppose 19*x - 14*x = -z - 5, 0 = 2*x - 5*z + 2. Determine x*r(s) - 3*c(s).
-2*s**2 - s - 2
Let p(q) = -5*q + 4. Let u be -22 + 24 - (0 + 5). Let m(r) be the second derivative of -4*r + 0 - 3/2*r**2 + 2/3*r**3. Determine u*m(v) - 2*p(v).
-2*v + 1
Let i(t) = -5*t**3 - 3*t**2 + 3*t + 1. Let p(k) = k**3 + k**2 - k. Let v be (-30)/20 + (-9)/6. Let l(c) = -c - 12. Let d be l(-11). Calculate d*i(u) + v*p(u).
2*u**3 - 1
Let p(o) = 7*o - 2. Let q(z) = -1. What is -p(a) - 4*q(a)?
-7*a + 6
Let s(o) = 37*o**3 - 2*o**2 + 4. Let m(c) = -2*c**3 + 1. What is -m(v) + s(v)?
39*v**3 - 2*v**2 + 3
Let y(t) = 2*t**3 - 4*t - 4. Let w(i) be the first derivative of -9*i**4/4 + 21*i**2/2 + 21*i + 46. Calculate -4*w(u) - 21*y(u).
-6*u**3
Let s(j) = -j**3 - 2. Let k(a) = 33. Let x(q) = 5. Let l(m) = k(m) - 6*x(m). What is 4*l(p) + 6*s(p)?
-6*p**3
Let q = -4 + -2. Let r(d) = d - 14. Let v(k) = -2*k + 26. Let g(p) = 5*r(p) + 3*v(p). Let w(n) = -n + 2*n - 4 - 3. Give q*w(x) - 5*g(x).
-x + 2
Suppose -b - 3*b - 2*o = -34, o + 32 = 5*b. Let j(l) = 5*l - 1. Let g(u) = 9*u - 1. Suppose 0 = 398*s - 412*s - 56. What is b*j(n) + s*g(n)?
-n - 3
Let n(l) = 12*l**2 - 7*l + 7. Let v(x) = 2*x**2 - x + 1. Determine -6*n(u) + 39*v(u).
6*u**2 + 3*u - 3
Let q(l) = 60*l**2 - 5. Let m(r) = 121*r**2 - 10. Determine 4*m(w) - 9*q(w).
-56*w**2 + 5
Let s(w) = -w**2 - 17*w - 24. Let d be s(-2). Let u(h) = -h - 2. Let k(x) = -3*x - 6. Calculate d*k(p) - 17*u(p).
-p - 2
Let x(d) = 108*d**3 + 5*d**2 - 5*d - 5. Let a(g) = 2537*g**3 + 118*g**2 - 118*g - 118. Give 5*a(o) - 118*x(o).
-59*o**3
Let h(n) = -478*n - 3. Let o(r) = -546350*r - 3430. Determine -6860*h(k) + 6*o(k).
980*k
Let k(l) be the second derivative of 0 + 1/2*l**2 + 2*l + 1/3*l**3. Let x(d) = -3 + 7 - 5. What is k(v) + x(v)?
2*v
Let o(z) = 13 + 4*z - 14 + 5*z - 6*z - 2*z. Let w(l) = -7*l**2 + 2*l - 2. Calculate 4*o(u) - 2*w(u).
14*u**2
Let r(h) = 6*h**3 - 8*h**2 + h. Let b(x) = -5*x**3 + 7*x**2 - x. Suppose -22 + 2 = -5*q. Give q*b(z) + 3*r(z).
-2*z**3 + 4*z**2 - z
Let b(u) be the second derivative of 4*u**3/3 - u**2/2 + 86*u + 1. Let k(y) = -y. What is 2*b(c) + 18*k(c)?
-2*c - 2
Let g(o) = -3*o**3 + 3*o**2. Let c = -703 + 702. Let a(v) = v**2. What is c*g(s) + 3*a(s)?
3*s**3
Suppose 0 = -23*x + 8*x + 270. Let h = 61 + -27. Let b(w) = -15 + h - x. Let j(n) = -n**2 - 2*n + 6. Determine 6*b(t) - j(t).
t**2 + 2*t
Let h(z) = 2*z - 11. Let w be (1/2 + 1)*2. Let t(s) = -s. Let n(b) = 2*b + 1. Let o(p) = -4*n(p) - 9*t(p). Let v = 4 + -12. What is v*o(c) + w*h(c)?
-2*c - 1
Let q(b) = b**2 + b - 1. Let k(p) = -7*p**2 - 20*p + 3. Give -k(o) - 3*q(o).
4*o**2 + 17*o
Let i(m) = -7*m - 8. Let d(s) be the second derivative of s**3/6 + s**2/2 - 11*s. Determine -6*d(k) - i(k).
k + 2
Let u(c) = -12*c**2 + 8*c**2 - c**2 + 3*c**3 + 7 + 4*c**3. Let w(f) = -6*f**3 + 4*f**2 - 6. Determine -5*u(p) - 6*w(p).
p**3 + p**2 + 1
Let f(z) be the first derivative of -z**2/2 - 7*z - 94. Let n(g) = -g - 8. Calculate 6*f(b) - 5*n(b).
-b - 2
Let b(q) = -152 + 75 + 78. Let p(t) = -t - 1. What is -6*b(n) - 5*p(n)?
5*n - 1
Let q(d) = 9*d**2 - 2*d. Let u(m) = -8*m**2 + 2*m + 3. Calculate 5*q(l) + 6*u(l).
-3*l**2 + 2*l + 18
Suppose 8*v + 4*p = 4*v, -4*p = 5*v - 4. Let z(r) = -8*r**2 + 5*r + 1. Let h(x) = -3*x**2 + 2*x. Determine v*z(b) - 11*h(b).
b**2 - 2*b + 4
Let y(z) = -9*z**3 + 6*z**2 - 7*z - 2. Let w(q) = -10*q**3 - 8*q + 7*q**2 + 8 - 3 - 7. Determine 6*w(p) - 7*y(p).
3*p**3 + p + 2
Let h(c) = -2697*c**2 - 464*c - 464. Let q(v) = 35*v**2 + 6*v + 6. Give 3*h(m) + 232*q(m).
29*m**2
Let h(u) = u + 1. Let o(l) = 177*l**2 + l + 3. Determine -3*h(p) + o(p).
177*p**2 - 2*p
Let r(p) = -2*p**3 + p + 1. Let g(b) = 2*b**3 - b**2 + 197*b - 2. Give g(z) + 2*r(z).
-2*z**3 - z**2 + 199*z
Let h(y) = -2*y - 1. Let g(t) = 5*t + 24. What is -g(i) - h(i)?
-3*i - 23
Let t(v) = 4*v + 8. Let p(q) = -8*q - q + 3 + 4*q + 4*q + 2*q. What is 7*p(c) - 2*t(c)?
-c + 5
Let x(m) be the third derivative of -1/3*m**3 + 0*m - 1/24*m**4 + 0 + 5*m**2. Let k(w) = -2. Give 2*k(q) - 3*x(q).
3*q + 2
Let t(u) = 9 - 22 - 14*u + u - 11*u**2. Suppose 2*l + 4 = 3*z - 8, -5*z - 36 = 6*l. Let y(n) = 5*n**2 + 6*n + 6. Give l*t(m) - 13*y(m).
m**2
Let z(p) = 4*p**2 - 9*p. Let d(a) = 3*a**2 - 8*a. Let x(u) = -62*u + 928. Let g be x(15). Calculate g*z(v) + 3*d(v).
v**2 - 6*v
Let g(a) = -10*a**2 + 13*a - 156. Let f(v) = 3*v**2 - 4*v + 52. Determine 7*f(u) + 2*g(u).
u**2 - 2*u + 52
Let w(g) = 2*g**3 - 5*g**2 - 2*g + 3. Let p(v) = -2*v**3 + 4*v**2 + v - 2. Give 4*p(d) + 3*w(d).
-2*d**3 + d**2 - 2*d + 1
Let y(k) = -195*k. Let w(v) = 3703*v. What is -4*w(n) - 77*y(n)?
203*n
Let v(n) = 2*n**2 - n - 2. Let g(q) = 4*q**2 - 3*q - 2. Calculate 2*g(c) - 3*v(c).
2*c**2 - 3*c + 2
Let y(n) = 2*n**2 + 3. Let x(t) be the second derivative of 5*t**4/12 + 5*t**2/2 - 115*t. What is 6*x(k) - 10*y(k)?
10*k**2
Let n(t) = -t**2 + 2. Let z(a) = -9*a**2 + 123 - 124 + 10*a**2. Calculate -3*n(v) - 6*z(v).
-3*v**2
Let v(r) = 0 - 1 - 7*r**2 - 6*r**3 - 13*r**3 + 21*r**3 - r**3 + 3*r. Let l(w) = w**3 - w**2 + w. Give -3*l(b) + v(b).
-2*b**3 - 4*b**2 - 1
Let q(t) = -182*t**2 + 10*t + 3. Let w(d) = 183*d**2 - 15*d - 4. Determine 3*q(z) + 2*w(z).
-180*z**2 + 1
Let y(n) = -48*n**2 + 33*n + 33. Let c(l) = 3*l**2 - 2*l - 2. Let q(m) = m**3 - 25*m**2 - 53*m - 29. Let s be q(27). Determine s*y(z) - 33*c(z).
-3*z**2
Let t(d) = -12*d - 18. Let s(x) = x + 3. Give 3*s(y) - t(y).
15*y + 27
Let w(b) be the first derivative of -b**4/2 - 5*b**3/3 - 3*b + 890. Let v(f) = 2*f**3 + 6*f**2 + 4. Give 3*v(x) + 4*w(x).
-2*x**3 - 2*x**2
Let k(o) = -o**3 + 7*o**2 + 2*o - 9. Let w be k(7). Let m(g) = 6*g**3 + 5*g + 5. Let h(z) = -99 + 100 + 4*z**3 + z - 3*z**3. Determine w*h(y) - m(y).
-y**3
Let c(k) = -37*k + 94. Let l(j) = 23*j - 63. Determine -5*c(v) - 8*l(v).
v + 34
Suppose -2*q = -4*c - 4, 5*q + 17 = -c - 6. Let f(i) = -2*i**3 - 2*i**2 - 5*i + 3. Let y(p) = 3*p**3 + 4*p**2 + 9*p - 5. What is c*y(b) - 5*f(b)?
b**3 - 2*b**2 - 2*b
Let y(n) = -2*n + 4 + 6*n + 2*n - 5*n. Let h(o) = o + 1. What is -3*h(w) + y(w)?
-2*w + 1
Let y(u) = -10*u + 2. Let i be (0 - (-7 + 2))*(-19)/19. Let l(z) = -11*z + 2. Calculate i*l(j) + 6*y(j).
-5*j + 2
Let q(x) = 19*x**2 - 5*x - 4. Let o(d) = -61*d**2 + 16*d + 12. Determine -6*o(y) - 19*q(y).
5*y**2 - y + 4
Let h(x) = x + 4. Suppose 0 = 3*p + 2 - 8. Let i(k) = 2*k + 5. Calculate p*i(d) - 3*h(d).
d - 2
Let i(a) = 9*a - 5. Suppose -2*s + 24 = -x, 3*x + 31 = 4*s - 21. Let n(p) = 6*p - p + 2*p - 9 + s*p. What is -11*i(z) + 6*n(z)?
3*z + 1
Let s(c) = c + 2. Let p(d) = 2*d**2 - 8*d + 8. Calculate -p(t) - 8*s(t).
-2*t**2 - 24
Let l be ((-9)/((-144)/20))/((-3)/(-12)). Let r(w) = 2*w - 5*w + 3 + 0 - 1. Let u(d) = -4*d + 3. Let v(a) = 7*a. Let s be v(-1). What is l*u(m) + s*r(m)?
m + 1
Let l(a) = 103*a + 0 - 107*a - 4. Let m(y) = 7*y + 8. Determine -5*l(z) - 3*m(z).
-z - 4
Let g = -17 + 12. Suppose z = -y - 4*z - 6, -5*y - 3 = -2*z. Let j(a) = 2*a**3 - 5*a**2 + 5*a + 7. Let w(x) = x**2 - x - 1. Calculate g*w(p) + y*j(p).
-2*p**3 - 2
Let s(h) be the first derivative of 5*h**4/2 + 96. Let j(z) = -z**3. Determine 45*j(g) + 4*s(g).
-5*g**3
Let g(u) = -3*u. Let d(y) = 2*y. Let p(h) = 5*d(h) + 2*g(h). Suppose -12 + 0 = -4*n. Let a(l) = 12 - 12 - 5*l. Calculate n*a(w) + 4*p(w).
w
Let s(r) = 10*r**2 + 93*r + 4. Let y(k) = 7*k**2 + 94*k + 3. What is -3*s(n) + 4*y(n)?
-2*n**2 + 97*n
Let v(g) = -5*g**2 + 4*g + 2. Let n(h) = -14*h**2 + 11*h + 7. Give 4*n(l) - 11*v(l).
-l**2 + 6
Suppose 9 + 4 = -4*h + 3*b, -h - 4*b = -11. Let l be h/4*(9 - 25). Let v(r) = -2*r + 1. Let k(i) = -2*i + 2. Determine l*k(t) - 5*v(t).
2*t + 3
Let v(x) = -2754*x**2 - 85. Let o(p) = -131*p**2 - 4. What is -85*o(g) + 4*v(g)?
119*g**2
Let m(t) = -645*t**2 + 9*t + 18. Let o(b) = -322*b**2 + 4*b + 8. Determine 4*m(q) - 9*o(q).
318*q**2
Let q = -63 + 57. Let g(r) = -r. Let o(m) = -5*m - 5. Give q*g(t) + o(t).
t - 5
Let g(k) = -k**2 + 11*k - 11. Let n(c) = c**2 - 7*c + 7. Suppose -3*f + 2*u + 78 + 155 = 0, -u = f - 76. Let m = -85 + f. Determine m*n(w) - 5*g(w).
-3*w**2 + w - 1
Let i(x) = -