late f*w(y) + x*k(y).
y - 2
Let s(p) = 9*p + 13. Let o(h) = -5*h - 7. What is 5*o(w) + 3*s(w)?
2*w + 4
Suppose 0 = 4*t - 0*t - 2*z + 6, z - 7 = -2*t. Let r(o) = -3 + t + o + 2 - 1. Let p(g) = -3*g + 4. Give -p(f) - 5*r(f).
-2*f + 1
Let w(l) = l**3 - l**2 - 1. Let v(u) = -7*u**3 + 4*u**2 - u + 4. What is -v(y) - 6*w(y)?
y**3 + 2*y**2 + y + 2
Let o be (-2 + 1 + -1)*(41 + -37). Let u(g) = 5*g**2 + 3*g + 3. Let a(r) be the second derivative of 7*r**4/6 + 4*r**3/3 + 4*r**2 - r. What is o*u(l) + 3*a(l)?
2*l**2
Let u(y) = -5*y + 3. Let w(k) = -1. Give -u(f) - 2*w(f).
5*f - 1
Let v(p) = 12*p**3 + 11*p**2 - 11. Let r = -86 - -130. Let d(g) = -g**3 - g**2 + 1. Give r*d(c) + 4*v(c).
4*c**3
Let h(g) = -g + 1. Let c(i) = 6*i - 4. Determine -c(p) - 5*h(p).
-p - 1
Let y(d) = d**2 - 3. Let w(a) be the first derivative of -a - 9. Let q = 8 - 6. What is q*y(t) - 6*w(t)?
2*t**2
Suppose -3*a = a - 4. Let z = a + 0. Let c(p) be the third derivative of 7*p**5/60 + 7*p**4/24 + p**3 - p**2. Let h(n) = n**2 + n + 1. Give z*c(l) - 6*h(l).
l**2 + l
Let n(j) = -15*j**3 + 5*j**2 - 5*j - 1. Let u(s) = 7*s**3 - 2*s**2 + 2*s. Suppose -171*q + 166*q - 25 = 0. Determine q*u(d) - 2*n(d).
-5*d**3 + 2
Suppose 0 = -4*m + 4*w - 12, -5 = m - 3*w + 8. Let f(j) = 2*j - 2. Let o(l) = l**2 + l - 1. Determine m*o(v) - f(v).
2*v**2
Let y(i) = 2*i**2 - 5*i - 1. Let w(m) = m**2 - 1. Determine 3*w(s) - y(s).
s**2 + 5*s - 2
Let s(p) = 2*p**3 - 4*p**2 - 4. Let y = 30 - 27. Let v(g) = -2*g**3 + 3*g**2 + 3. Determine y*s(q) + 4*v(q).
-2*q**3
Let y(z) = -8*z**2 - 6*z - 5. Let l(n) be the first derivative of -3*n**3 - 7*n**2/2 - 6*n - 20. What is -6*l(s) + 7*y(s)?
-2*s**2 + 1
Let m(w) = 8*w**2 + w + 4. Let n(q) = -q**2 - q + 1. What is -m(t) - n(t)?
-7*t**2 - 5
Let b(j) = -16 + j + j**2 + 32 - 15. Let r(o) = -4*o**2 - 6*o - 3. Determine 6*b(k) + r(k).
2*k**2 + 3
Let z(m) = -m**2 + m + 1. Let x(o) be the third derivative of o**6/40 + 3*o**5/20 - 3*o**4/8 - 3*o**3/2 + 8*o**2. Calculate x(l) + 9*z(l).
3*l**3
Let r(v) = 4*v + 8. Let g(n) = n - 1. Give -6*g(x) - r(x).
-10*x - 2
Let o be 7/5 + (-2)/5. Let g = 3 + -4. Let c(i) = i - 2. Let t(q) be the third derivative of -q**4/24 - q**3/6 - 6*q**2. Determine g*t(b) + o*c(b).
2*b - 1
Let a(y) = y + 1. Let j = 2 + -1. Let k be 3 - (3 - j - 1). Let o(m) = 2*m + 1. Let u(s) = -7*s - 3. Let g(i) = 9*o(i) + 2*u(i). Calculate k*g(z) - 7*a(z).
z - 1
Let b(o) = o**2 - 3*o + 1. Let g(h) = 5*h**2 - 11*h + 4. What is 22*b(y) - 6*g(y)?
-8*y**2 - 2
Let n(t) = t**2 - t - 1. Let j(u) = 5*u**2 - 6*u - 6. Let h(g) = -15*g**2 + 17*g + 18. Let i(w) = -3*h(w) - 8*j(w). Calculate i(y) - 3*n(y).
2*y**2 - 3
Let w(r) = -6*r - 6. Let c(q) = -5*q - 5. Give 5*c(k) - 4*w(k).
-k - 1
Let y(x) be the first derivative of 7*x**2/2 - 2*x - 26. Let f(p) = -6*p + 2. Calculate -6*f(i) - 5*y(i).
i - 2
Let j(n) = -2*n - 5. Let b(z) = -1. Determine -12*b(s) + 3*j(s).
-6*s - 3
Let l(h) = -h**3 + 2*h**2 + h - 6. Let y(v) be the third derivative of v**3/6 + 29*v**2. Let p = 0 + 1. Let c be p*1/(-1)*1. What is c*l(a) - 6*y(a)?
a**3 - 2*a**2 - a
Let o(q) = 5*q**2 + 3*q - 3. Let t(l) = 3*l**2 - 29*l**2 - 11 + 11 + 16 - 16*l. Determine -16*o(d) - 3*t(d).
-2*d**2
Let u(z) = 5*z**3 + 3*z**2 - 3*z. Let p(c) = 14*c**3 + 8*c**2 - 9*c. Give -3*p(m) + 8*u(m).
-2*m**3 + 3*m
Let x be (1 + -1)/(-1) + 10. Let y(u) = 3*u**2 + 2*u + 2. Suppose -2*l - 5 = -23. Suppose -5*j = 11 + l. Let g(s) = 7*s**2 + 5*s + 5. Determine j*g(r) + x*y(r).
2*r**2
Let k(b) = 3*b**3. Suppose 20 = -4*i - i. Let t(g) = -g**3 - g**2 - g. Let n(o) = -3*o**3 - 6*o**2 - 6*o. Let p(c) = -n(c) + 6*t(c). What is i*k(r) - 3*p(r)?
-3*r**3
Let x(z) = 11*z**2 + 4*z + 4. Let l(a) = 5*a**2 + 5*a + 1. Let d(j) = j**2 + j. Let b(q) = -4*d(q) + l(q). Determine 4*b(n) - x(n).
-7*n**2
Let j(s) = -5*s + 5. Let a(n) = 3*n - 3. Let u(m) = 8*a(m) + 5*j(m). Let p(x) = -2. Let l be 3 + -3 + -1 + 2. What is l*p(w) + u(w)?
-w - 1
Suppose 0 = 3*y + 6*v - v + 9, v + 11 = 4*y. Let q(s) = -s - 3. Let r(g) be the third derivative of g**4/12 + 7*g**3/6 - 4*g**2. What is y*r(p) + 5*q(p)?
-p - 1
Let x(s) = 3*s**3 + 2*s**3 - 4*s**3 - s + s**2. Let q(g) = 0*g + 3*g + 6*g**3 - 5*g - 2*g + 4*g**2. Give q(i) - 4*x(i).
2*i**3
Let x(l) = l + 4. Let j(t) = 3*t + 11. Calculate -4*j(n) + 11*x(n).
-n
Let k(y) = y**2 - 2*y - 3. Let v(w) = w + 2. What is -4*k(t) - 5*v(t)?
-4*t**2 + 3*t + 2
Let a(w) = -5*w - 1. Let y(h) = -4*h - 1. Let r(l) = -2*l + 13. Let j be r(10). Give j*y(p) + 6*a(p).
-2*p + 1
Let h(x) = 9*x + 2. Let n(w) be the third derivative of 5*w**4/12 + w**3/2 + w**2. Let q(i) = 4*h(i) - 3*n(i). Let a(c) = -7*c + 1. What is 5*a(y) + 6*q(y)?
y - 1
Let b(s) = -s**2 - s - 1. Let g(c) = c**2 + c + 1. Determine -b(x) + g(x).
2*x**2 + 2*x + 2
Let n be 126/33 + 4/22. Let m(z) = z + 6. Let f(d) = -d - 5. Suppose -2*g = 2*g - 4*c - 16, 5*g - 14 = -c. What is g*m(t) + n*f(t)?
-t - 2
Suppose 2*x - 28 + 3 = -5*y, 4*y = 12. Suppose -x*s = -10*s - 10. Let d be ((-30)/3)/(-5) - -1. Let j(v) = 2*v - 1. Let g(r) = 2*r. What is d*g(u) + s*j(u)?
2*u + 2
Let x(o) = -4*o**3 + 7*o**2 + 9. Let v(z) be the third derivative of -z**6/60 + z**5/20 + 2*z**3/3 - 8*z**2. Suppose 2 = j - 5. Calculate j*v(f) - 3*x(f).
-2*f**3 + 1
Let g = 6 + -9. Let x(s) = 7*s**2 + s. Let z(r) = 4*r**2 + r. What is g*x(v) + 5*z(v)?
-v**2 + 2*v
Let u(z) = -27*z**3 + 2*z + 2. Let q(l) = -3025*l**3 + 225*l + 225. What is 2*q(h) - 225*u(h)?
25*h**3
Let n(z) = z - 2. Let f(a) = -a + 3. Suppose 0 = 4*m + 16, -5*j - 4*m - 33 - 38 = 0. Let t = -15 - j. Give t*f(y) - 6*n(y).
-2*y
Let j(p) = 8*p - 5. Let s(z) = 40*z - 24. Let o(y) = -24*j(y) + 5*s(y). Let d(n) = 4*n. Calculate -9*d(l) + 4*o(l).
-4*l
Let c(a) = a**2 - a - 4. Let j(o) = 8*o**2 - 3*o - 18. Let q(w) = -9*w**2 + 2*w + 17. Let x(d) = -4*j(d) - 3*q(d). Calculate -11*c(t) - 2*x(t).
-t**2 - t + 2
Let d(v) = -v + 5. Let x(t) = 4*t - 22. Let r(w) = -2*w + 11. Let y(k) = 7*r(k) + 4*x(k). What is -13*d(b) - 6*y(b)?
b + 1
Let w(o) = -o**3 + o + 1. Let c(a) be the second derivative of a**5/5 - a**4/4 - a**3/3 - a**2/2 + 6*a. Calculate c(b) + 2*w(b).
2*b**3 - 3*b**2 + 1
Let c(m) = 6*m**2 - 17*m + 14. Let w(k) = -4*k**2 + 11*k - 9. Give -5*c(u) - 8*w(u).
2*u**2 - 3*u + 2
Let b(r) = -r**2 + 1. Let a(w) = -4*w**2 + 2*w + 1. Let p = 35 + -34. Give p*a(o) - 2*b(o).
-2*o**2 + 2*o - 1
Let j = -3 + 2. Let k(t) = -6*t**2 + 5*t - 2. Let s(l) be the third derivative of 0*l**3 + 0 - 1/60*l**5 + 0*l + 1/24*l**4 - 2*l**2. Calculate j*k(z) + 5*s(z).
z**2 + 2
Let d(p) = -111*p**3 - 21*p - 21. Let i(h) = 11*h**3 + 2*h + 2. Calculate 2*d(u) + 21*i(u).
9*u**3
Let d(j) be the second derivative of 5*j**4/6 - j**3 - 7*j**2/2 + j. Let v(n) = -7 + 9*n**2 - 4*n + 2 - 2*n**2. Determine 5*d(w) - 7*v(w).
w**2 - 2*w
Let h(g) = -2. Let u(w) = w + 5. Suppose 6 = -3*f + 3*r - 15, -4*f = 2*r + 4. Calculate f*u(j) - 7*h(j).
-3*j - 1
Let z(c) = 10*c**2 + 1. Let l(a) = -2*a**2. Let x(i) = -11*l(i) - 2*z(i). Let h(v) = v**2 - 5*v + 3. Let f be h(5). Let d(k) = k**2 - 1. What is f*d(j) - x(j)?
j**2 - 1
Let f(j) be the first derivative of -j**2 - j + 8. Let m(l) = -3*l - 2. Give 10*f(d) - 6*m(d).
-2*d + 2
Suppose 4*f - 4 = 2*f. Let d(y) = 0*y + 4 - 9 + f*y**2 - 5*y. Let i(j) = j**2 - 2*j - 2. Suppose -4*b - b = -50. What is b*i(v) - 4*d(v)?
2*v**2
Let j(r) = -4*r**3 - 9*r**2 + 9*r - 4. Let c(x) = -2*x + 6*x**3 - 11*x**3 + 1 + 6*x**3 + 0*x**2 + 2*x**2. What is 9*c(v) + 2*j(v)?
v**3 + 1
Let s(d) be the second derivative of d**5/20 - d**4/12 - 2*d**3/3 - 31*d. Let g(j) = -5*j**3 + 5*j**2 + 21*j. Calculate 2*g(u) + 11*s(u).
u**3 - u**2 - 2*u
Let t = -54 - -55. Let g(v) = v + 1. Let r(c) = 3*c + 1 + 0 + 5. Calculate t*r(d) - 5*g(d).
-2*d + 1
Let p(w) = w**2 + w - 7. Let x = -33 - -34. Let r(q) = 1. What is x*p(s) + 4*r(s)?
s**2 + s - 3
Let r(t) = 2*t**3 + 4*t**2 - 5*t + 2. Let l(x) = 2*x**3 + 3*x**2 - 4*x + 1. Determine 4*l(w) - 3*r(w).
2*w**3 - w - 2
Let a(x) = 5*x. Suppose c = -4 - 4. Let i = 3 + c. Let b(r) = -r**3 + 6*r**2 - 6*r - 1. Let l be b(5). Let k(n) = -4*n. Calculate i*a(g) + l*k(g).
-g
Suppose -2 = d + 2, 5*d + 17 = 3*s. Let w(n) = -3*n - 2. Let k(v) be the third derivative of v**4/24 - v**2. What is s*w(y) - 2*k(y)?
y + 2
Let i(z) = z**2 + 3*z - 3. Suppose 4*k - 20 + 52 = 0. Let h(r) = r**3 + 3*r**2 + 8