+ 1
Let p(t) = -t**3 + t**2 - 1. Suppose 3*w - 58 = -0*q - q, -4*q = 4*w - 72. Let z(g) = -6*g**3 + 5*g**2 - 5. Determine w*p(k) - 4*z(k).
4*k**3
Let h(j) = 0*j - 1 + 0*j + 131*j**2 - 133*j**2. Let r(p) = 1. Calculate h(a) + r(a).
-2*a**2
Let n(d) be the second derivative of d**3/6 - d**2 + d. Let g(t) = -t + 3. Let r be (36/48*-4)/(1 + 0). Give r*g(b) - 5*n(b).
-2*b + 1
Let v(l) = 7*l**3 - 2*l**2 - 6*l. Let i(g) = -20*g**3 + 6*g**2 + 17*g. What is -6*i(p) - 17*v(p)?
p**3 - 2*p**2
Let o(j) = 2*j + 2. Let t(u) = u + 1. Let z = 27 + -32. Give z*o(r) + 12*t(r).
2*r + 2
Let u(n) = -n - 1. Let c(h) = -24*h - 33. Determine 4*c(x) - 132*u(x).
36*x
Let a(v) = 2*v + 3. Let w be a(6). Let u(m) = -9*m + 11 + w*m - 13*m**2 - 13*m. Let p(z) = -7*z**2 - 4*z + 6. Give 11*p(y) - 6*u(y).
y**2 - 2*y
Let f be -4*1 + -5 + 12. Let z(n) = -5*n - 5. Let w(k) = -9*k - 9. What is f*w(c) - 5*z(c)?
-2*c - 2
Let h(x) = x**3 + x**2 + x. Let g(f) be the first derivative of 3*f**4/2 + 5*f**3/3 + 5*f**2/2 - 18. Determine 2*g(y) - 10*h(y).
2*y**3
Let w(i) = -86*i - 5. Let o(z) = -88*z - 6. Give -4*o(g) + 5*w(g).
-78*g - 1
Let a(v) = 5*v. Let f = 63 - 61. Let j(i) = i. Determine f*a(s) - 6*j(s).
4*s
Let q(w) = w**3 - w**2. Let k(b) = -3*b**3 + b. Suppose -3*p + 3*h - 4 = 11, -1 = 5*p + h. Calculate p*k(d) - 2*q(d).
d**3 + 2*d**2 - d
Let l(q) = 7*q + 4. Let a(t) = -3*t + 1. Let g(v) = 6*v - 1. Let s(i) = -5*a(i) - 3*g(i). Determine -4*l(x) - 9*s(x).
-x + 2
Let z(r) = r**3 + r + 1. Let s(y) = -2*y - 1. Give s(n) + 2*z(n).
2*n**3 + 1
Let i(l) = 4*l**3 + 7*l**2 - l + 16. Let f(t) = 9*t**3 + 15*t**2 - 2*t + 33. Determine 6*f(u) - 13*i(u).
2*u**3 - u**2 + u - 10
Let v(u) = -3*u**3 + 4*u**2 + 4*u - 4. Let r(t) = 2*t**3 - 5*t**2 - 5*t + 5. Give 4*r(y) + 5*v(y).
-7*y**3
Let m(n) = 0*n + 0*n + n. Let w = -2 - -4. Let h(o) = 10 - 10 + w*o. What is -h(c) + 3*m(c)?
c
Let u(c) = 15*c**3 + 2*c**2 - 8*c**2 - 9*c**2. Let d(r) = 7*r**3 - 7*r**2. Give 13*d(t) - 6*u(t).
t**3 - t**2
Let p(i) be the third derivative of -7*i**6/60 + i**5/5 + 6*i**2. Let a(m) = -m**3 + m**2. Determine 12*a(t) - p(t).
2*t**3
Let z(t) = 3 + 0 - 4. Let a(j) be the third derivative of j**4/24 + j**3 + j**2. Let l = 57 - 56. Calculate l*a(h) + 6*z(h).
h
Let m(x) = -8*x**3 - 6 + 10*x - 2*x**3 - 7*x**2 - 1 + 4. Let g(j) = -2*j**2 + 3*j**3 + 3*j - 7*j**3 - 2*j**3 - 1 + 3*j**3. Calculate -7*g(n) + 2*m(n).
n**3 - n + 1
Let s(o) = -6*o**3 + 4*o**2 + 4*o - 4. Let d(q) = 4 + 6*q**3 - 5*q**2 - 20 - 5*q + 21. Calculate -4*d(b) - 5*s(b).
6*b**3
Let m(s) = s**2 + 4*s + 1. Let l(z) = z - 1. What is -4*l(k) + m(k)?
k**2 + 5
Let d(z) = z**2 - 6*z + 6. Let f(x) = -x + 1. Let h = -1 + 0. Suppose 2*b + 0*b - 22 = 2*n, -3*n + 9 = 4*b. Determine b*f(g) + h*d(g).
-g**2
Let u(c) = -26*c**2 + 3*c - 3. Let f(l) = -l**2 - l + 1. What is 3*f(z) + u(z)?
-29*z**2
Suppose 8*t = 10*t - 10. Let f(u) = u**3 - u + 1. Let z(d) = 4*d**3 - 5*d + 7. Determine t*f(l) - z(l).
l**3 - 2
Let j(v) = v**2 + v - 1. Let f(g) = -3*g**2 - 4*g + 4. What is f(d) + 5*j(d)?
2*d**2 + d - 1
Let n(p) = 3*p**3 + 6. Let a(y) = -4*y**3 - 5. Calculate 6*a(g) + 5*n(g).
-9*g**3
Let a(d) = -2*d - 2. Let l(h) = -h - 1. Give -4*a(m) + 7*l(m).
m + 1
Let p(h) = h**3 + 7*h + 4. Let r(u) = u**3 - 3*u**2 + 8*u + 3. Let q(d) = -d**2 + d. Let l(t) = 3*q(t) - r(t). Give 7*l(s) + 5*p(s).
-2*s**3 - 1
Let a(r) be the second derivative of 13*r**5/20 - 17*r**4/12 - 13*r**3/6 - 2*r. Let o(s) = -3*s**3 + 4*s**2 + 3*s. What is -2*a(g) - 9*o(g)?
g**3 - 2*g**2 - g
Let b(w) = 221*w**2 + 119*w - 119. Let o(l) = -11*l**2 - 6*l + 6. Determine -6*b(m) - 119*o(m).
-17*m**2
Suppose 4 - 13 = -3*d + 5*t, 3*d + 2*t = 9. Let b(o) = -2*o - 3. Let l(y) = 26*y + 35. Let n(c) = -9*c - 12. Let r(s) = -4*l(s) - 11*n(s). Give d*r(h) - 8*b(h).
h
Let u(a) = 3*a**3 + 4*a**2 - 2*a + 2. Suppose g - 2 = -3*t, 0 = -2*t - 2*g - 4. Let q(x) = 10*x**3 + 13*x**2 - 7*x + 7. Calculate t*q(n) - 7*u(n).
-n**3 - 2*n**2
Let s(p) = -p**3 + 2*p**2 + 4*p - 3. Let b(a) = -2*a**3 + 5*a**2 + 11*a - 10. Give 4*b(n) - 11*s(n).
3*n**3 - 2*n**2 - 7
Let n(o) = 5*o**2 + 6*o - 3. Let v(t) = -9*t**2 - 11*t + 5. Let c be (-3 + 8 - -3) + -3. Let b = c + -2. Suppose 0 = 2*l + b - 11. Give l*v(w) + 7*n(w).
-w**2 - 2*w - 1
Let j(z) = 35*z + 15. Let d(x) = -9*x - 4. Let l be 8/(-16) - -3*14/(-12). What is l*j(w) - 15*d(w)?
-5*w
Let q(z) = z**3 + z**2 - z + 1. Let w(g) = 4*g**3 - 3*g**2 + g - 2. Calculate 2*q(j) + w(j).
6*j**3 - j**2 - j
Let u(b) = b**2 + 3*b + 4. Let p(k) = -2*k**2 - 4*k - 5. Give 2*p(q) + 3*u(q).
-q**2 + q + 2
Let g(x) = -3*x - 3. Suppose 0 = -l - l - 10. Let m(d) = d. Calculate l*m(t) - g(t).
-2*t + 3
Let y(w) = 2*w**2 + 6*w + 9. Let z(u) = -4*u**2 - 11*u - 17. Calculate -11*y(m) - 6*z(m).
2*m**2 + 3
Let g(x) = 11*x**2 + 2*x. Suppose -2*n - 4*u = 2, 4 = -n - 4*u - 1. Let b = 11 + -3. Let z(r) = -4*r**2 - r. What is b*z(v) + n*g(v)?
v**2 - 2*v
Let m(n) be the third derivative of -n**4/24 + 26*n**2. Let j(w) = 5*w**3 - 5*w. What is -j(u) + 5*m(u)?
-5*u**3
Let b(u) = 4*u - 5. Let o(v) = 3*v - 4. Let n(z) = -5*b(z) + 6*o(z). Let c(j) = 4*j - 2. What is -2*c(s) - 5*n(s)?
2*s - 1
Let d = 35 - 31. Let m(a) = -5*a**3 + 4. Let o(u) = 14*u**3 - 11. Calculate d*o(r) + 11*m(r).
r**3
Let n(w) = -w**2 - 2*w + 4. Let s be n(-4). Let f = 5 - 0. Let l(o) = -o - 3*o**3 + f*o + 2*o - 6. Let t(q) = -q**3 + 2*q - 2. Give s*l(m) + 11*t(m).
m**3 - 2*m + 2
Let c(h) be the first derivative of 4*h**3/3 + 7*h**2/2 - 7*h - 1. Let p(k) be the first derivative of k**3 + 5*k**2/2 - 5*k - 3. What is -5*c(x) + 7*p(x)?
x**2
Let o(x) = -4*x + 3. Let n(a) = a**3 + 6*a + 14 + a + 5*a + 11*a**2. Let y be n(-10). Let b(d) = 15*d - 11. Give y*b(h) - 22*o(h).
-2*h
Let u(n) = n**2 - 3*n - 3. Let q(z) be the third derivative of -z**2 + 0 + 0*z + 1/24*z**4 + 1/6*z**3. Calculate -6*q(l) - 2*u(l).
-2*l**2
Let r(i) = -4*i**2 - i - 3. Let q(s) = -5*s**2 - 4. Let t(y) = 2*q(y) - 3*r(y). Let k(j) = -6*j**2 - 8*j - 2. Give 3*k(a) + 8*t(a).
-2*a**2 + 2
Let l(b) = 5*b - 8. Let h(d) = 2 - 4*d - 6 + 11. Give 6*h(k) + 5*l(k).
k + 2
Let s(i) = -i**2 + i - 1. Let r(t) = -36*t**2 + 30*t - 30. Let v(k) = 5*k + 35. Let o be v(-13). Give o*s(p) + r(p).
-6*p**2
Let k(y) = 8*y**2 + 3. Let m(i) = 24*i**2 + 8. What is -8*k(x) + 3*m(x)?
8*x**2
Let i(d) = d - 4. Let n(s) = -2*s + 3. Determine -2*i(y) - 3*n(y).
4*y - 1
Let j = -3 - -6. Let s(l) = -15*l**2 + 4 - 7*l**3 - 3*l + j*l. Let t(m) = -4*m**3 - 8*m**2 + 2. Let h be 7*(-2 - 24/(-21)). What is h*s(k) + 11*t(k)?
-2*k**3 + 2*k**2 - 2
Let a(x) = 3*x**2 + x + 4. Let h(o) = 4*o**2 + o + 5. What is -5*a(f) + 4*h(f)?
f**2 - f
Let x(k) = -3*k + 6. Let b(m) = -4*m + 7. Give -5*b(z) + 6*x(z).
2*z + 1
Suppose 0 = 5*o + 5*k - 100, 4*o + k - 92 = -0*k. Suppose 4*n = -0*n + o. Suppose 3 - n = -q. Let p(l) = -3*l - 5. Let m(j) = -j - 2. Give q*p(i) - 7*m(i).
-2*i - 1
Let y(j) = 7*j**2 + 6*j + 1. Let l(i) = 8*i**2 + 7*i + 1. What is 5*l(z) - 6*y(z)?
-2*z**2 - z - 1
Let r(n) = 9*n**3 + 9*n**2 + 13*n. Let k(z) = 20 + 2*z**3 + 3*z + 2*z**2 - 20. What is -26*k(t) + 6*r(t)?
2*t**3 + 2*t**2
Let f(y) = y - 3. Let k(x) = -x + 10. Let d(o) = -o + 19. Let h(m) = -3*d(m) + 7*k(m). Let b = 35 - 33. What is b*h(q) + 9*f(q)?
q - 1
Let a(v) = 5*v**2 + 2*v - 4. Let g(i) = 7*i**2 - 1. Let o(u) = -6*u**2 + 1. Let l(z) = 5*g(z) + 6*o(z). What is a(x) + 4*l(x)?
x**2 + 2*x
Let g(u) = -2*u + 2. Let p(m) be the third derivative of -m**4/4 + 5*m**3/6 - 4*m**2. What is -11*g(b) + 4*p(b)?
-2*b - 2
Let g(w) = 16*w + 21. Suppose 5 = -2*f - 3*f. Let s be (1*f)/(5/(-10)). Let c(t) = -3*t - 4. Give s*g(h) + 11*c(h).
-h - 2
Let d(o) = -4*o + 1. Let r = -53/8 + 27/4. Let p(i) be the third derivative of r*i**4 + 2*i**2 + 0 + 0*i + 0*i**3. Calculate -2*d(b) - 3*p(b).
-b - 2
Let q(g) = -3*g**3 + 2*g**2 - 3*g + 4. Let h(d) = -7*d**3 + 5*d**2 - 7*d + 9. Give 2*h(n) - 5*q(n).
n**3 + n - 2
Let g(h) = -4*h**2 - 6*h + 1. Let l(s) be the second derivative of s**4/4 + 5*s**3/6 - s**2/2 + 2*s. Let b = 13 - 7. Determine b*l(u) + 5*g(u).
-2*u**2 - 1
Let p(d) = 6*d - 6 + 2*d - 3*d. Let k be (-15)/2*4/5. Let z(s) = -s. Let f(n) = 12*n - 13. Let c(w) = f(w) + z(w). Determine k*c(m) + 13*p(m).
-m
Let j(b) = -3*b + 2. Let f(w) = 6*w - 6. Let o(k) = 7*k - 7. Let n(h) = 6*f(h) - 5*o(h). Calculate -j(q) - 4*n(q).
-