- 1. Let m be o(-4). Suppose 2*p - 4 + 2 = 0. Determine m*s(d) + p*u(d).
-d
Let z(g) be the second derivative of -g**4/2 - 11*g**3/6 + 11*g**2/2 + 6*g. Let y(c) = c**2 + 2*c - 2. Determine 11*y(i) + 2*z(i).
-i**2
Let n(b) = -6*b**3 + 6*b**2 - 6*b. Suppose f - 5 = t - 4*t, 4*f + 4*t - 12 = 0. Let u be (-16)/(-4)*1/f. Let y(q) = -q**3 + q**2 - q. What is u*n(o) - 10*y(o)?
-2*o**3 + 2*o**2 - 2*o
Let s(w) = -5*w**3 + w - w + 4*w. Let l(t) = -2*t - 3. Let v be l(-5). Let q(d) = -2*d**3 - d + 2*d - 3*d + 4*d**3. Determine v*q(y) + 3*s(y).
-y**3 - 2*y
Let d(p) = -2*p - 8. Suppose 1 = 2*q - 3. Let w(b) = b**3 - 4*b**2 + 2*b + 2. Let r be w(q). Let o = r + 1. Let j(i) = -1. Calculate o*d(t) + 10*j(t).
2*t - 2
Let d be 3 + (2 - (1 - 3)). Let q(i) = 8*i. Let o(x) = -x + 6. Let z be o(0). Let g(n) = -7*n. Determine d*g(r) + z*q(r).
-r
Suppose -4*m - m = -30. Let u(l) = l**3 + 6 - 2 - 8. Let x be -2*(1 - (0 - 16)). Let f(r) = 6*r**3 - 23. What is m*f(a) + x*u(a)?
2*a**3 - 2
Let s(z) = z**2 - z - 1. Let j(v) = 15*v**3 + 9*v**2 - 9*v - 9. Determine -j(c) + 9*s(c).
-15*c**3
Let n(c) = -c**2 - 4*c + 7. Let x(i) = i. What is -n(j) - 5*x(j)?
j**2 - j - 7
Let i(z) = z - 1. Let k(l) = 2*l**3 + l + 1. Let q be k(1). Let v(y) = -2*y**2 - 4*y + 4. Calculate q*i(r) + v(r).
-2*r**2
Let v(o) = 4*o**3 - 9*o**2 - 13. Let i(w) = -2 - 6 + w**3 + 5 - 2*w**2. What is 9*i(p) - 2*v(p)?
p**3 - 1
Let s(x) = -2*x**2 - 2*x. Suppose -3 + 30 = -9*v. Let r(o) = 2*o**2 + 2*o. Calculate v*r(t) - 4*s(t).
2*t**2 + 2*t
Let n(w) = 1. Suppose 3*j = -0*j - 3. Let v(p) = 3*p + 1. What is j*n(y) + v(y)?
3*y
Let m(p) = 2*p**2 - 13*p - 21. Let s(y) = y**2 - 6*y - 10. Calculate 4*m(h) - 9*s(h).
-h**2 + 2*h + 6
Let k(p) = -6*p**2 + 5*p. Suppose -5*r + 4 = -3*r, r + 7 = 3*v. Let t(o) = o**2 - o. Calculate v*k(m) + 15*t(m).
-3*m**2
Let c = 7 - 10. Let g(x) = 9*x**2 - 3*x. Let a(o) be the third derivative of o**5/12 - o**4/12 - 8*o**2. What is c*g(k) + 5*a(k)?
-2*k**2 - k
Let a = 0 + 6. Let i(y) = -a*y**2 + 2*y**2 + 4 - 2. Let z(q) = -5*q**2 - q + 3. What is 3*i(m) - 2*z(m)?
-2*m**2 + 2*m
Let f(m) = -3*m. Let l(u) = -6*u. Give -11*f(s) + 6*l(s).
-3*s
Let m(b) = -9*b**2 + 1. Let d(y) = 18*y**2 - 1. Calculate 2*d(q) + 5*m(q).
-9*q**2 + 3
Let n(k) = -13*k + 3. Let r(t) = -14*t + 4. Determine -5*n(m) + 4*r(m).
9*m + 1
Let b(d) = d**2 + d - 6. Let f(m) = -3*m**2 + 4*m**2 - 5 + m**2 - m**2. What is -2*b(y) + 3*f(y)?
y**2 - 2*y - 3
Let y(j) be the second derivative of -7/6*j**3 - 2/3*j**4 - 3*j**2 + 0 + 1/4*j**5 + 4*j. Let g(h) = 4*h**3 - 7*h**2 - 6*h - 5. Determine 7*g(p) - 6*y(p).
-2*p**3 - p**2 + 1
Let b(o) = o - 2. Suppose 0*c - 6 = 2*c. Let p(u) be the first derivative of u**2/2 - u + 12. What is c*b(y) + 4*p(y)?
y + 2
Let b(c) = 2*c**3 - 3*c**2 - 5*c + 7. Let d = -14 + 10. Let j(z) = -z**3 + z**2 + 2*z - 3. Give d*b(a) - 10*j(a).
2*a**3 + 2*a**2 + 2
Let c(t) = 65*t**3 - 45*t**2 - 45*t - 45. Let g(o) = 3*o**3 - 2*o**2 - 2*o - 2. Give 2*c(l) - 45*g(l).
-5*l**3
Let y(g) = -13*g + 9. Let i(x) = -11*x + 8. Let a(b) = -6*i(b) + 5*y(b). Let c(t) = 3*t - 10. Give -7*a(h) + 2*c(h).
-h + 1
Let q(y) be the first derivative of -1/6*y**3 + 0*y**2 - 3*y + 3. Let u(f) be the first derivative of q(f). Let s(h) = -2*h**3 + 5*h. What is s(l) + 5*u(l)?
-2*l**3
Let s(i) = 32*i**3 - 2*i - 2. Let k(g) = -33*g**3 + 3*g + 3. Give -2*k(a) - 3*s(a).
-30*a**3
Let k(m) = -2*m**3 + 2*m**2 - 3*m + 4. Let r(o) = -3*o**3 + 3*o**2 - 5*o + 7. Let i(s) = -s**3 - 6*s**2 - 5*s - 3. Let n be i(-5). Give n*r(h) + 5*k(h).
-h**3 + h**2 - 1
Let p(w) = -4*w. Let z(t) = -t**2 - 7*t. Determine -7*p(x) + 4*z(x).
-4*x**2
Let r(b) = -3*b**2 + 11*b + 5. Let s(m) = 2*m**2 - 6*m - 3. Give -6*r(a) - 10*s(a).
-2*a**2 - 6*a
Let k(m) = -m. Let u(a) = 11*a + 1. Calculate 3*k(r) + u(r).
8*r + 1
Let s(u) = -2*u**3 - 7*u**2 - 4*u - 9. Let i(f) = f**2 + f + 1. Determine -4*i(q) - s(q).
2*q**3 + 3*q**2 + 5
Let l(t) = -5*t**3 + 4*t**2 + 5*t + 1. Let g(s) = -9*s**3 + 7*s**2 + 9*s + 1. Determine -3*g(y) + 5*l(y).
2*y**3 - y**2 - 2*y + 2
Let k(r) = 3*r**3 + 2*r**2 + r. Let w(s) = 3*s**3 - 4*s**3 + s + s - s. What is k(b) + 2*w(b)?
b**3 + 2*b**2 + 3*b
Let d(k) = 0*k**2 + 2*k**2 - k**2 - 6*k - 1 + 5*k. Let i(l) = 2*l**2 - 3*l - 3. What is 12*d(h) - 4*i(h)?
4*h**2
Let w(q) = 31*q**3 - 2. Let u(c) = 61*c**3 - 5. Determine -4*u(m) + 10*w(m).
66*m**3
Let k(g) = -g**3 + 3*g**2 - g + 4. Let d(a) = -a**3 + 12*a**2 + 12*a + 16. Let f be d(13). Let m(x) = 2*x**3 - 8*x**2 + 3*x - 11. Calculate f*m(c) + 8*k(c).
-2*c**3 + c - 1
Let h(f) be the second derivative of 2*f**3/3 + f**2/2 + 14*f. Let j(z) = z**3 - 13*z - 4. Determine 7*h(k) + 2*j(k).
2*k**3 + 2*k - 1
Let i = 6 - 4. Let r(d) = -2*d**2 + 2*d - 2. Let c(o) = -2*o**2 + o - 2. Determine i*r(l) - 3*c(l).
2*l**2 + l + 2
Let i(z) = -2*z**3 - 4*z**2 + 3*z - 2. Let c(v) be the third derivative of v**6/120 + v**5/60 - v**4/24 - 6*v**2. What is 4*c(r) + i(r)?
2*r**3 - r - 2
Let c(m) = -303*m + 303*m + 6 + 12*m**2 - 5*m**2. Let k(y) be the second derivative of -y**4/2 - 5*y**2/2 - y. What is -5*c(j) - 6*k(j)?
j**2
Suppose -q - 1 = 5. Let d(p) = p**2 + 8*p - 5. Let h(s) be the third derivative of s**4/24 - s**3/6 + 4*s**2. What is q*h(m) + d(m)?
m**2 + 2*m + 1
Let d(j) = -9*j + 21. Let x(n) = -2*n + 4. Suppose -40 = -2*u + 2. Calculate u*x(t) - 4*d(t).
-6*t
Let c(r) be the third derivative of r**4/12 + r**3 + 2*r**2. Let z(h) = 2*h + 5. What is 4*c(v) - 5*z(v)?
-2*v - 1
Let r(a) = 3*a - 1. Let n(l) = l**2 - l - 1. Let z(h) = -h**2 + 4*h - 4. Let y be z(5). Let w = y + 8. Determine w*r(t) - n(t).
-t**2 - 2*t + 2
Let l(n) = n**2 - 1. Let t(b) be the second derivative of b**4/12 + b**3/6 - b**2/2 + 9*b. Give 2*l(k) - t(k).
k**2 - k - 1
Let g(y) = -y**2 - 6*y + 3. Let n(c) = -3*c**2 - 17*c + 10. Calculate -8*g(k) + 3*n(k).
-k**2 - 3*k + 6
Let y(k) = 285*k**2. Let w(i) = 13*i**2. Give -45*w(r) + 2*y(r).
-15*r**2
Let a(c) = c - 4. Let r(b) = b - 3. Suppose t - 8 = 3*t. Give t*a(s) + 5*r(s).
s + 1
Let q(v) = v**3 + v**2 + 1. Let d(a) = -20*a**3 - 25*a**2 - 25. Calculate 3*d(s) + 75*q(s).
15*s**3
Let g(c) = 3*c**3 - 4*c**2 - 3*c. Let o(z) = z**3 - z**2. Give g(k) - 4*o(k).
-k**3 - 3*k
Let c(p) = p**2 + 5*p - 5. Let r = -69 - -64. Let o(w) = -2*w**2 - 6*w + 6. Calculate r*o(f) - 6*c(f).
4*f**2
Let o(n) = -2*n**2 - 9*n + 2. Let i(s) = -s**2 - 9*s + 2. Give -3*i(w) + 2*o(w).
-w**2 + 9*w - 2
Suppose 5*x + 15 = 2*x + 3*r, -3*x - 5*r = -1. Let h(j) = 2*j + j + 3*j + 11. Let f(z) be the first derivative of -z**2 - 4*z + 266. Give x*h(m) - 8*f(m).
-2*m - 1
Let n(r) = -r - 1. Let w(c) = 4*c**2 + 2*c + 2. Determine -2*n(z) - w(z).
-4*z**2
Let p(r) = 7*r. Let b(v) = 8*v. Determine 4*b(y) - 3*p(y).
11*y
Let d(l) = 3*l**2 - 1. Let c be d(-1). Let h(t) = -t - 4. Let y(o) = o + 2. What is c*h(f) + 5*y(f)?
3*f + 2
Let c(k) = -3*k**3 - 2*k**2 + 3*k. Let h(a) = -9*a**3 - 7*a**2 + 10*a. Give -7*c(w) + 2*h(w).
3*w**3 - w
Let d(i) = -10*i + 2. Let c(f) = 11*f - 2. What is 3*c(x) + 4*d(x)?
-7*x + 2
Suppose -16*s + 10 = -18*s. Let z(w) = w**2 + 3*w + 5. Let x(l) = l**2 + 3*l + 4. Determine s*x(c) + 4*z(c).
-c**2 - 3*c
Let c(z) = 3*z**3 - 9*z**2 + 3*z - 7. Let b(x) = x**3 - 4*x**2 + x - 3. Let m be 14*(3/(-6))/(-1). What is m*b(q) - 3*c(q)?
-2*q**3 - q**2 - 2*q
Let a(s) be the second derivative of -1/2*s**2 - 3*s - 1/6*s**3 + 0. Suppose -10 = p + p, -3*f = -4*p - 8. Let l(j) = -j - 2. What is f*a(x) + 3*l(x)?
x - 2
Let n(u) = -10*u - 2. Let h(o) = -o - 1. Give 6*h(k) - n(k).
4*k - 4
Let j(n) = -5*n**3 + 6*n**2 - 11*n - 8. Let f = -57 + 68. Let h(c) be the first derivative of c**4/2 - 2*c**3/3 + 2*c**2 + 3*c + 1. Give f*h(s) + 4*j(s).
2*s**3 + 2*s**2 + 1
Let i(s) = -2*s**2 - 2*s + 2. Let t(k) = -k**2 - 7*k + 3. Let p be t(-7). Let o(j) = 2*j**2 + 3*j - 2. Calculate p*o(m) + 4*i(m).
-2*m**2 + m + 2
Let x = -31 + 32. Let q(o) = -5*o - 3. Let d(i) = -i - 1. What is x*q(u) - 6*d(u)?
u + 3
Let z(t) = 4*t**2 - 7*t - 2. Let c(o) = 5*o**2 - 8*o - 2. Give -5*c(x) + 6*z(x).
-x**2 - 2*x - 2
Let a(s) = -3*s - 6. Let t(n) be the third derivative of n**5/24 + 11*n**4/24 + n**3 - 8*n**2. Let r(j) be the first derivative of t(j). Give -7*a(f) - 4*r(f).
f - 2
Let g(u) = -u**3 + 3*u + 5. Let z(a) = -2*a**3 + 7*a + 11. Let j be (8/6 - 2)/((-6)/(-27)). Calculate j*z(b) + 7*g(b).
-