e p = -4 + 2. What is p*h(g) + 22*c(g)?
2*g
Let c(y) = 2*y**3 - 3*y**2 - 3*y + 3. Let i(j) = -5*j**3 + 2*j**2 - 1403*j - 7 + 1410*j + 5*j**2. Give -7*c(z) - 3*i(z).
z**3
Let l(k) = -5*k**3 - k + 4. Let h(r) be the first derivative of 7*r**4/2 + r**2 - 11*r + 1. What is -3*h(a) - 8*l(a)?
-2*a**3 + 2*a + 1
Let y = 9 + -2. Let i(z) = -3 + 2 - y*z - 1. Let n(d) = 4*d + 1. Suppose 2*s = 4*k - 2*s + 20, 4*k = -2*s - 20. Give k*n(x) - 3*i(x).
x + 1
Let w(d) = 0 + 6*d - d + 2. Let c(u) = -2*u + 1. Let y(z) = 14*z - 1. Let p(n) = -4*c(n) - y(n). Determine 2*p(h) + 3*w(h).
3*h
Let v(q) = 4 - 9*q**2 - 5*q - 10 - 2*q + 7*q**2. Let a(r) = -6*r**2 - 20*r - 17. Let s be -17*(-2)/(-1 - -3). Determine s*v(b) - 6*a(b).
2*b**2 + b
Let f(v) = -4*v**2 + 8. Let h(k) be the second derivative of -3*k**4/4 + 17*k**2/2 + k. Let m be 5 + -3 + -9 - 6. Determine m*f(y) + 6*h(y).
-2*y**2 - 2
Let c be (-165)/11*4/(-10). Suppose 0 = t + t - c. Let i be (-60)/(-14) - 6/21. Let y(d) = -5*d + 3. Let q(j) = 4*j - 2. Determine i*q(h) + t*y(h).
h + 1
Suppose 0 - 14 = 2*n - 5*c, c - 12 = 5*n. Let h(p) be the second derivative of 0*p**2 + 1/2*p**3 + 0 + 5*p. Let w(k) = 4*k. Calculate n*w(g) + 3*h(g).
g
Let h(y) = y**2 + y - 1. Let m = -4 - -6. Let b be (-2)/(-11) + 26/(-22). Let u(c) = -c**3 + 3*c - 2. Determine b*u(v) + m*h(v).
v**3 + 2*v**2 - v
Suppose z + 1 = -3*r, -z + 2*z - 2*r + 1 = 0. Suppose -5*c = -3*t + 35, 0 = -5*c + 4*t - 2*t - 40. Let d(b) = 12*b. Let x(u) = -u. Give c*x(o) + z*d(o).
-2*o
Let i(r) = r**3 + r**2 - 1. Let a(u) = -3*u**3 - 9*u**2 + 6*u. Let g(z) = a(z) + 5*i(z). Let n(w) = w**2 - w + 1. Give g(h) + 6*n(h).
2*h**3 + 2*h**2 + 1
Let d(b) = -6*b**3 + 3*b**2 + 4*b. Let s(o) = -5*o**3 + 3*o**2 + 3*o. Calculate 3*d(v) - 4*s(v).
2*v**3 - 3*v**2
Let s(j) = -6*j**3 + 7*j**2 + 5*j + 6. Let w(f) = 6*f**3 - 8*f**2 - 6*f - 7. What is -6*s(p) - 5*w(p)?
6*p**3 - 2*p**2 - 1
Let p(v) = -32*v**2 - 3. Let u(w) = -w**2 - 1. Give p(l) - 3*u(l).
-29*l**2
Let h(y) = -3*y**3 - 3*y**2 + 17*y - 14. Let m(n) = n**3 + n**2 - 6*n + 5. Determine 6*h(r) + 17*m(r).
-r**3 - r**2 + 1
Let x(v) = 8*v**2 + 5*v - 6. Let l(s) = -62*s**2 - 35*s + 58. Let u(g) = -41*g**2 - 23*g + 39. Let p(o) = -5*l(o) + 7*u(o). Give 6*p(w) - 17*x(w).
2*w**2 - w
Let p(h) = h**3 + h**2 + 1. Let y(q) = 2*q**3 + q**2 + 4. What is 3*p(s) - y(s)?
s**3 + 2*s**2 - 1
Let m(v) = 4*v**3 + 3*v + 2. Let s(t) = 9*t**3 + 7*t + 5. Let x(c) = -c**3 - 6*c**2 + 7*c + 2. Let h be x(-7). Suppose -y = -h*y + 6. What is y*s(b) - 14*m(b)?
-2*b**3 + 2
Let y(k) = 4*k**2 + 3. Let a(m) = -5*m**2 - 4. Suppose -2*h + 6 = -4*h. Let o(z) = z + 9. Let d be o(-7). Suppose -4*s - d = -3*s. Give h*y(v) + s*a(v).
-2*v**2 - 1
Let q(s) = s**3 - 5*s**2 + 5*s. Let g(p) = -3*p**2 + 3*p - 5. Let y(v) = 2*v**2 - 2*v + 3. Let a(k) = 3*g(k) + 5*y(k). What is 15*a(r) + 3*q(r)?
3*r**3
Let y(r) = r**2 - 3. Let j(s) be the first derivative of s**2/2 - 6. Give -2*j(q) - y(q).
-q**2 - 2*q + 3
Let t(o) = -13*o**3 - 3*o**2 - o - 4. Let m(l) = -25*l**3 - 6*l**2 - 2*l - 7. Determine -4*m(v) + 7*t(v).
9*v**3 + 3*v**2 + v
Let n(y) = 6*y**2 + 9*y - 7. Let m(i) be the second derivative of i**4/6 + i**3/2 - i**2 + 21*i. Determine 7*m(u) - 2*n(u).
2*u**2 + 3*u
Let n(g) = 0*g + 6*g + 0*g - 3*g. Let l(t) = -4*t - 1. Determine 2*l(w) + 3*n(w).
w - 2
Let x(w) = -9*w**3 + 13*w - 13. Let k(h) = 0*h + 0*h**2 - 1 + h - h**2 - 2*h. Let v be k(3). Let o(a) = 4*a**3 - 6*a + 6. Give v*o(c) - 6*x(c).
2*c**3
Let b(a) = -a**2 - a. Let k(t) = -t**2 - 4*t. Suppose -14 = 5*c - 19. Determine c*k(g) - 4*b(g).
3*g**2
Suppose -3*t - 2 = 1. Let u(x) = 3*x**2 + 5*x + 3. Let m(f) = f + 1. Determine t*u(j) + 3*m(j).
-3*j**2 - 2*j
Let g(j) = -2*j**2 - j. Let v(t) = t**3 + 6*t**2 + 2*t. Let c(a) = -a**3 - 9*a**2 - 7*a + 5. Let p be c(-8). Determine p*v(i) - 8*g(i).
-3*i**3 - 2*i**2 + 2*i
Let k(w) = -w - 1. Let i(m) be the second derivative of -m**4/8 - m**3/2 - 3*m**2/2 - m. Let g(f) be the first derivative of i(f). Calculate -3*g(p) + 7*k(p).
2*p + 2
Let r(m) = m**2 - 2*m + 3. Let z(j) = 6*j**2 - 11*j + 16. Let y be (0*(-2)/(-4))/2. Let w = y - -5. Let a = -7 + w. What is a*z(x) + 11*r(x)?
-x**2 + 1
Let w(j) = j**2 + j - 1. Let g = 27 - 7. Let c(a) = -9 - 12 + g + a + 5*a**2. Give -c(n) + 3*w(n).
-2*n**2 + 2*n - 2
Let d(h) = 4*h**3 - 5*h**2 + 13*h. Let t(i) = -2*i**3 + 3*i**2 - 7*i. Calculate -6*d(b) - 11*t(b).
-2*b**3 - 3*b**2 - b
Let d(o) be the third derivative of o**4/12 - 2*o**3/3 + 2*o**2. Let b(j) = 2. Let v(h) = 1. Let p = -2 - -3. Let n(a) = p*b(a) - v(a). Determine d(x) + 4*n(x).
2*x
Let f(q) = -2*q**3 - q**2 - 5*q - 5. Let d = 65 + -60. Let x(k) be the second derivative of k**5/10 + k**4/12 + k**3 + 3*k**2 - k. Give d*x(b) + 6*f(b).
-2*b**3 - b**2
Let g(c) be the third derivative of -3*c**4/8 - 2*c**3/3 + 10*c**2. Let z(j) = 2*j + 1. Give -6*g(v) - 26*z(v).
2*v - 2
Let m(o) = -12*o**3 - 2*o. Let g(x) = 13*x**3 + 3*x. Give -2*g(w) - 3*m(w).
10*w**3
Let x(j) = 6*j**3 - 3*j**2 - 6. Let v(h) = 5*h**3 - 2*h**2 - 5. Calculate -5*v(i) + 4*x(i).
-i**3 - 2*i**2 + 1
Let f(a) = 5*a**3 - 4*a**2 + 5*a - 6. Let t(r) = 6*r**3 - 5*r**2 + 5*r - 7. Determine -5*f(x) + 4*t(x).
-x**3 - 5*x + 2
Let y(t) = 7*t**2 + 22*t - 20*t - 3 - 3 - 5*t**3. Let i(p) = 6*p**3 - 8*p**2 - 2*p + 7. Give 6*i(q) + 7*y(q).
q**3 + q**2 + 2*q
Let k(a) = 6*a**3 + 14*a + 17. Let i(v) = 2*v**3 + 5*v + 6. Let x be -17*(-4 - 12/(-4)). Determine x*i(m) - 6*k(m).
-2*m**3 + m
Let c(d) = -39*d**2. Let s(f) = -f**2. What is 3*c(g) - 156*s(g)?
39*g**2
Let f(i) = 3*i**3 - 4*i**2 + 2*i - 1. Let n(t) = -13*t**3 + 17*t**2 - 9*t + 4. Determine -9*f(c) - 2*n(c).
-c**3 + 2*c**2 + 1
Let p(c) = 50*c**2 + 12*c. Let b(l) = 20*l**2 + 5*l. Give -12*b(x) + 5*p(x).
10*x**2
Let n(u) = 9*u**2 + 5*u + 2. Let l(h) = -13*h**2 - 7*h - 3. Let k = 3 + -5. Let y be (-2 - k/2) + 6. Determine y*l(r) + 7*n(r).
-2*r**2 - 1
Let g(o) = 7*o**3 + 6*o**2 - o + 9. Let f(i) = -8*i**3 - 7*i**2 - 10. Calculate -6*f(n) - 7*g(n).
-n**3 + 7*n - 3
Let y(t) = t**3 + 4*t**2 + 3*t - 5. Let v(j) = j**3 + 4*j**2 + 2*j - 5. What is 5*v(m) - 4*y(m)?
m**3 + 4*m**2 - 2*m - 5
Let k(d) = -2*d - 4. Let z(t) = -1 - 2 + 3 - 3 - t. Calculate 3*k(h) - 4*z(h).
-2*h
Let d(j) = j. Let h be d(2). Let g(o) = -3*o**2 + 5*o - 1. Let m(q) = -3*q**2. Let p(s) = -4*s**2 - s. Let z(f) = -3*m(f) + 2*p(f). Calculate h*g(c) + 5*z(c).
-c**2 - 2
Let x(j) = -6*j**2 - 6*j + 7. Let n(a) = -3*a**2 - 3*a + 4. What is -7*n(k) + 4*x(k)?
-3*k**2 - 3*k
Let v(m) = 1. Suppose o = -3*d + 4*o - 6, 4*d - o - 1 = 0. Let h(k) = 2*k + 3. Calculate d*h(t) - 4*v(t).
2*t - 1
Let w(a) = -7*a**2 - 3*a + 6. Let h(b) = 2*b**2 - 5 - 2*b + b + 4*b + 4*b**2. Let g be 6/15 + (-1)/((-30)/168). Give g*h(v) + 5*w(v).
v**2 + 3*v
Let c(v) = 2*v + 2. Let n be ((-5)/(-2))/1*2. Let f(g) = -3*g - 3. What is n*c(q) + 4*f(q)?
-2*q - 2
Let b(v) = v - 6. Let w(u) = 7. What is 4*b(n) + 5*w(n)?
4*n + 11
Let d be (-4)/(-5)*(-5)/(-2). Suppose -d*r + 2 = 6. Let n(p) = 5 - 2 + 28*p - 64*p + 31*p. Let a(f) = -4*f + 2. Calculate r*n(l) + 3*a(l).
-2*l
Let l(b) = -b - 1. Let r(i) = 6*i + 1. Determine 5*l(a) + r(a).
a - 4
Let t(a) = -15*a - 1. Let g(x) = -44*x - 4. Give -2*g(s) + 7*t(s).
-17*s + 1
Suppose -x - 2*u - 3 = 3, 2*x = -u - 3. Let k(z) be the first derivative of 2 + x*z - 1/2*z**2. Let c(t) = -8*t. Calculate -c(f) + 6*k(f).
2*f
Let d(h) = 15*h**2. Suppose g = 3*k - 0*g - 13, k + g = 7. Let y(w) = 22*w**2. Calculate k*y(j) - 7*d(j).
5*j**2
Let k(f) = f - 2. Let o = -18 + 27. Let q(j) = -5*j + 8. Give o*k(p) + 2*q(p).
-p - 2
Let y(s) = -4*s + 6. Let b(f) = f - 1. Let d(l) = 9*l - 11. Let o(v) = 6*b(v) - d(v). Calculate 6*o(z) - 5*y(z).
2*z
Let u(j) = 6*j**2 + 5*j - 5. Let z(s) = -s**2 + s - 1. What is u(q) - 4*z(q)?
10*q**2 + q - 1
Let y(a) = -a. Let b(f) = -6*f + 9*f - 6*f. What is b(g) + y(g)?
-4*g
Let a(f) = -2*f - 6. Let x(q) = -q - 1. Let v(m) = -3*m - 3. Let n(k) = 2*v(k) - 5*x(k). What is a(b) - 6*n(b)?
4*b
Let b(i) = 7*i**3 - 11*i**2 + 6*i. Suppose 56*w = 51*w + 35. Let y(f) = -8*f**3 + 12*f**2 - 7*f. Give w*b(l) + 6*y(l).
l**3 - 5*l**2
Let u(b) = 15*b**2 - 13*b + 9. Let d(n) = -38 - 2*n - 7*n**2 + 8*n + 34. Calculate 9*d(h) + 4*u(h).
-3*h**2 + 2*h
Let n(j) = 8*j**2 - 8*j - 6. Let k(u) = 8*u**2 - 7*u - 5. Give -7*k(c) + 6*n(c).
-8*c**2 + c - 1
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