+ u*h(y).
y - 1
Let b(k) = 37*k + 3. Let g(m) = 67*m + 7. Give -11*b(x) + 6*g(x).
-5*x + 9
Let k(z) = 3*z**2 - 2*z + 2. Let p(q) be the second derivative of 1/2*q**2 + 1/6*q**4 - 1/6*q**3 - 8*q + 0. Suppose -s - s - 6 = 0. What is s*k(t) + 4*p(t)?
-t**2 + 2*t - 2
Let a(n) = -5*n**3 - n**2 - 2. Let z(v) = 5*v**3 + 2*v**2 + 3. What is 3*a(x) + 2*z(x)?
-5*x**3 + x**2
Let v(n) = 1563*n + 32. Let j(z) = 1042*z + 20. Give 8*j(k) - 5*v(k).
521*k
Let c = 8 + -3. Let t(x) = -x**3 - 2. Let p(n) = -7 + 126*n + n**3 - 126*n + 8. Give c*p(y) + 4*t(y).
y**3 - 3
Let b(x) = 65*x**2. Let i(u) = -4484*u**2. What is 413*b(g) + 6*i(g)?
-59*g**2
Let k(v) = 4*v - 4. Let y(o) = 11*o - 21 - 11*o + 21*o. Let w(u) = u**3 - 6*u**2 - 2*u + 33. Let f be w(5). What is f*y(c) + 11*k(c)?
2*c - 2
Let a(w) be the first derivative of -11*w**4/4 + 15*w**2/2 - 15*w + 149. Let d(o) = 5*o**3 - 7*o + 7. Determine 6*a(y) + 13*d(y).
-y**3 - y + 1
Let n(d) = -57*d + 6. Let y(z) = 112*z - 13. Give -9*n(g) - 4*y(g).
65*g - 2
Let t(m) be the second derivative of -5*m**3/6 + 41*m. Let g = -15 - -20. Let v(p) = -6*p. Give g*t(c) - 4*v(c).
-c
Let a(j) = -3510*j**2 + 24*j + 24. Let s(v) = -701*v**2 + 5*v + 5. Determine -5*a(w) + 24*s(w).
726*w**2
Let x(b) = -b**2 + 3*b - 1. Let s(c) = -3*c**2 + 8*c - 3. Let f(k) = 2*s(k) - 5*x(k). Let j(a) = -3*a**2 + a. Calculate f(q) - j(q).
2*q**2 - 1
Let j(c) = -9*c**2 - 2*c - 9. Let p(f) be the second derivative of -5*f**4/12 - f**3/6 - 2*f**2 - 219*f. What is 4*j(g) - 7*p(g)?
-g**2 - g - 8
Let h(q) = q. Let y(o) be the first derivative of -o**2 + 34 - 2/3*o**3 + 0*o. Give h(g) - y(g).
2*g**2 + 3*g
Let l(a) = -a + 1. Suppose -1772*v - 12 = -1784*v. Let m(k) = 2*k**3 - k**2 - 5*k + 4. Determine v*m(b) - 4*l(b).
2*b**3 - b**2 - b
Let j(b) = 5*b**3 + 5*b**2 + 11*b + 20. Suppose 41*y + 112 = 13*y. Let p(r) = 2*r**3 + 2*r**2 + 4*r + 7. Give y*j(w) + 11*p(w).
2*w**3 + 2*w**2 - 3
Let f(b) = -10*b**2 + 16*b - 26. Suppose -4*v = -v - 12, -4*o + 3*v = -52. Let w(p) = 13*p**2 - 3*p**2 + 5 - 8*p**2 - 3*p. Calculate o*w(a) + 3*f(a).
2*a**2 + 2
Let h(j) = 6*j**2 - 3*j + 3. Suppose 5*f - 3*f = -4. Let p(t) = -2 - 4 + 4 + 2*t - 5*t**2. Suppose 0 = 4*w + 4*k + 4, -3*k + 12 = w - 3*w. Give f*h(y) + w*p(y).
3*y**2
Let d be (2/(-6))/((-1)/3). Let a(n) be the first derivative of n**2/2 + n - 2922. Let u(v) = -2*v + 0*v + 6 + 7*v. Calculate d*u(z) - 4*a(z).
z + 2
Suppose 0 = 3*w - 0*w - 21. Let j(f) = -w*f**3 + 4*f**2 - 3*f**2 + 14*f**3 + f. Let l(k) = -k**3. What is -j(i) - 6*l(i)?
-i**3 - i**2 - i
Let i(x) = 6*x + 207. Let z(a) = -2*a - 1. Calculate -i(l) - 2*z(l).
-2*l - 205
Let v(p) = -p**2 - 7*p + 11. Let t be v(-7). Let z(u) = u**3 + 4*u**2 + 2*u - 4. Let a(y) = 2*y**3 + 11*y**2 + 5*y - 11. Calculate t*z(q) - 4*a(q).
3*q**3 + 2*q
Let x(n) = -3*n**2 - 10*n - 9*n + 7*n + 24 + 2*n**2. Let a be x(-13). Let g(c) = 15*c**3 - 11*c. Let q(p) = 8*p**3 - 6*p. Give a*q(s) - 6*g(s).
-2*s**3
Let l(j) = -j. Suppose 5*m = 13*m - 24. Let n(d) = -2*d + 7. Let g(i) = 2*i + i - 1 - 11 + 2. Let k(p) = 5*g(p) + 7*n(p). Give m*l(t) + 2*k(t).
-t - 2
Let t(k) = -8*k**2 + 4*k - 7. Let p(x) = 23*x**2 - 11*x + 20. Suppose 4 = -4*r - 20. Let d = 1 + -18. What is d*t(b) + r*p(b)?
-2*b**2 - 2*b - 1
Let w(n) = -8*n + 6. Let p(b) = 24*b - 21. What is -4*p(z) - 11*w(z)?
-8*z + 18
Let t(g) = 1 - 1 + g**2 + 23 - 22. Let r(v) = 12*v**2 + 11. Determine -4*r(a) + 44*t(a).
-4*a**2
Suppose -4*z = -0*z + 2*z. Let g(y) = 2*y + 5. Let h be g(z). Let o(m) = -2*m + 3. Let k(u) = -6*u + 8. What is h*k(p) - 14*o(p)?
-2*p - 2
Let l(v) = 2*v**2 + 17*v - 1. Let b(q) = -3*q**2 - 18*q + 1. Give 3*b(w) + 2*l(w).
-5*w**2 - 20*w + 1
Let k(p) = 2*p**3 - 11*p**2 - 7. Let c(s) = s**3 - 6*s**2 - 4. Suppose -20*g - 11 = -21*g + 4*w, 2*g - 3*w - 22 = 0. Determine g*c(h) - 6*k(h).
-h**3 - 2
Let q(c) = -c**2 - c + 1. Let v(h) be the second derivative of -5/6*h**3 - 1/2*h**4 + 1/10*h**5 + 3*h + 5/2*h**2 + 0. Determine 6*q(b) - v(b).
-2*b**3 - b + 1
Let b(u) = -1. Suppose -46*w - 70 = -60*w. Let h(z) = 3*z - 12. What is w*h(f) - 60*b(f)?
15*f
Let v(g) = 3*g**2 + 7*g - 7. Let y(k) = -k**2 - 3*k + 1. Give v(x) + 2*y(x).
x**2 + x - 5
Let n(q) = 11*q**2 + q + 24. Let c(i) = -4*i**2 - 8. What is 8*c(m) + 3*n(m)?
m**2 + 3*m + 8
Let w(r) = 8*r + 9. Let d(b) = -9*b - 8. Let h(y) = -2*y - 2. Let g(u) = -d(u) + 4*h(u). Give 6*g(m) - w(m).
-2*m - 9
Let r(g) = g + 2. Let v(p) = p + 9. Let z(s) = -3*s**2 - 4*s + 4. Let k be z(1). Let f(b) = -9. Let x(i) = k*f(i) - 4*v(i). What is 26*r(d) + 6*x(d)?
2*d - 2
Let c(d) = -d. Let k(q) = -2*q - 6. What is 2*c(o) + k(o)?
-4*o - 6
Let s(z) = 1. Suppose -f + 10 = -5*k + 4*f, 0 = -2*k + 3*f - 7. Let p(l) = -l - 4. Suppose 1 = -n + 10. Let m = -5 + n. Give k*p(c) + m*s(c).
-c
Let p(n) = 30*n + 9. Let a(z) = 15*z - 4. Let v(j) = 15*j - 2. Let q(y) = 3*a(y) - 4*v(y). Give -4*p(r) - 9*q(r).
15*r
Let s(u) be the third derivative of u**4/24 + u**3/6 - 3*u**2. Suppose 17*b + 7 = -27. Let k(n) = 2*n**3 + 7*n + 7. Give b*k(h) + 14*s(h).
-4*h**3
Let o(m) = -30*m**2 - 33. Let d = 708 + -774. Let c(q) = q**2 + 1. Calculate d*c(w) - 2*o(w).
-6*w**2
Let g be 12/2 + (1 - 1). Let x(m) = -m + 3. Let s(y) = -y + 4. Let z be (1 - 70)/(-1)*2/(-3). Let i = -51 - z. Give g*x(f) + i*s(f).
-f - 2
Let v(a) = 4*a - 2 - 2*a + 9. Let r be 303/(-18) - ((-50)/(-12) - 4). Let n(u) = 6*u + 20. Determine r*v(g) + 6*n(g).
2*g + 1
Let m(h) be the second derivative of -h**4/12 + h**3/6 + h**2/2 + h. Let k(n) = -437*n + 0*n**2 - 439*n - 4 + 872*n + 3*n**2. Calculate -k(q) - 4*m(q).
q**2
Let h(a) = 4*a**2. Let d(k) = 42*k**2. Determine d(t) - 10*h(t).
2*t**2
Suppose -129 = 10*y - 19. Let c(m) = 5*m**2 + 2*m - 2. Let l(s) = -26*s**2 - 11*s + 10. Determine y*c(b) - 2*l(b).
-3*b**2 + 2
Let g(u) = -93*u**2 + 6*u. Let d(a) = -93*a**2 + 7*a. Calculate 6*d(m) - 7*g(m).
93*m**2
Let y(h) = 1. Let q(k) = k**2 + 8*k + 5. Let a(z) = z**2 - 25*z + 125. Let i be a(7). Calculate i*q(m) + 5*y(m).
-m**2 - 8*m
Suppose -4*q = -5*q - 4. Let v(w) = -7 + 18*w**2 - 11*w - 3*w**2 + 0*w**2 - 4. Let g(n) = -5*n**2 + 4*n + 4. What is q*v(k) - 11*g(k)?
-5*k**2
Let o(w) = -w**2 + 2*w + 9. Let g(k) = k**2 - 2*k - 10. Suppose i - 2*u - 1 + 7 = 0, 2*u - 22 = -3*i. What is i*o(a) + 3*g(a)?
-a**2 + 2*a + 6
Let s(n) = -n - 5. Suppose -5*w - 30 = 5*d, 3*w + 3 + 3 = -d. Let v be s(d). Let j(z) = z**3 - z**2. Let q(x) = -x**3 + 3*x**2 + x. What is v*q(f) + 3*j(f)?
2*f**3 + f
Let y(o) = -o + 2. Let b(t) = 8*t**2 + 8*t - 8. Determine b(l) + 4*y(l).
8*l**2 + 4*l
Let g = 148 + -141. Let w(o) = 8*o + 11. Let z(l) = 9*l + 12. Give g*w(j) - 6*z(j).
2*j + 5
Let s(i) = 3*i**3 + 2*i**2 + 4*i + 4. Let j(h) = h**3 - h**2 - h - 1. Calculate -4*j(d) - s(d).
-7*d**3 + 2*d**2
Let n(b) = -2*b**2 - 1. Let t(h) = -h**2 - 1. What is 2*n(d) - 5*t(d)?
d**2 + 3
Let r(o) = 4*o**3 + 3*o**2 + 2*o + 15. Let t(q) = 9*q**3 + 6*q**2 + 5*q + 29. Calculate -5*r(v) + 2*t(v).
-2*v**3 - 3*v**2 - 17
Let w(k) = -13*k**2 + 4*k + 11. Let b(f) be the third derivative of 0 + 0*f + 16*f**2 - 1/12*f**4 + 7/60*f**5 - f**3. Give -7*b(a) - 4*w(a).
3*a**2 - 2*a - 2
Let n(l) = 7*l**2 - 5. Let q(m) = 3*m**2 - 2. Let a be (-60)/8*10/(-15). Suppose -3*k - a*w + 20 - 4 = 0, -5*w + 18 = 4*k. Calculate k*n(r) - 5*q(r).
-r**2
Let k(q) = 23*q + 601. Let t(l) = 100*l + 2404. Determine 26*k(j) - 6*t(j).
-2*j + 1202
Let a(b) = -68 - 50788*b + 13 + 50579*b. Let h(v) = 15*v + 4. Determine 4*a(q) + 55*h(q).
-11*q
Let d(w) = 7*w**2 + 7*w - 3. Let x(a) = 28*a**2 + 26*a - 10. Let l(n) = -31*n**2 - 28*n + 10. Let k(f) = -2*l(f) - 3*x(f). Determine 16*d(y) + 5*k(y).
2*y**2 + 2*y + 2
Let n(j) = -2*j**2 - 2*j - 1. Let w(k) = -k. Give -n(v) - 3*w(v).
2*v**2 + 5*v + 1
Suppose 0 = 3*i - 8*i + 15. Let t(j) = j**3 + j - 1. Let k(s) = 5510*s - 5507*s + 5*s**3 - s**3 - 5*s**3 - 3. Calculate i*t(l) - k(l).
4*l**3
Let g(f) = 23*f - 64. Let q be g(3). Let o(b) = 3*b + 4. Let l(c) = 4*c + 4. Calculate q*o(x) - 4*l(x).
-x + 4
Let n(q) = -q + 5. Let w(x) = -x**3 - 6*x**2 - 7*x - 4. Let v be w(-2). Let t(k) = 3*k - 14. Give v*t(c) - 17*n(c).
-c - 1
Let v(b) = b**2. Let x(w) = -8*w - 2. Let o be x(0). Suppose -3*j - 10 = -j. Let r(i) = -2*i**2. Give j*v(z) + o*r(z).
-z**2
Let z(j) = 0*j + 7 - 5*j - 15. Let d(r) = -7 - 3*r + 8*r - 9*r. What is -7*d(g) + 6*z(g)