. Determine 5*a(t) + 4*p(t).
t**3 - 2*t - 2
Let x(u) = 5*u - 6. Let i(c) be the first derivative of 2*c**2 - 5*c - 22. Let p(v) = 3*i(v) - 2*x(v). Let s(l) = l - 1. Calculate -2*p(t) + 7*s(t).
3*t - 1
Let a(s) = 5*s**2 - 11*s + 455. Let p(n) = -n**2 + 2*n - 91. What is 2*a(r) + 11*p(r)?
-r**2 - 91
Let r(i) = -25*i**3 + 3*i**2 - 8*i + 6. Let q(a) = -24*a**3 + 3*a**2 - 7*a + 5. Calculate -6*q(c) + 5*r(c).
19*c**3 - 3*c**2 + 2*c
Let c(s) = -4*s**3 + 6*s**2 + 5. Let p(z) = -z**3 + 2*z**2 - 1. Give c(d) + 5*p(d).
-9*d**3 + 16*d**2
Let p(i) be the first derivative of i**4/4 + 4*i**3/3 + 3*i**2/2 + 178. Let q(t) = 3*t**3 + 7*t**2 + 5*t. What is -5*p(m) + 3*q(m)?
4*m**3 + m**2
Let z be (-3 - (5 + -3)) + 16/(-4). Let d(r) = -5*r + 4. Let u(s) = 9*s - 9. What is z*d(f) - 4*u(f)?
9*f
Let z(q) = -14*q - 11. Let i(k) = -9*k - 7. What is 7*i(b) - 5*z(b)?
7*b + 6
Let b(k) be the first derivative of 5*k**2/2 - 6*k - 12. Let m(w) = 14*w - 17. Let o be ((17/2)/((-4)/8))/(-1). Give o*b(x) - 6*m(x).
x
Let h(y) = -5*y**3 + 4*y**2 - 6*y - 6. Suppose 3*k + 206 = 188. Let q(j) = 4*j**3 - 3*j**2 + 5*j + 5. Determine k*q(b) - 5*h(b).
b**3 - 2*b**2
Let r(x) = -3*x**2 + 4*x + 5. Let d be (1*-1)/((-6)/30). Let h(m) = -4 - d*m - 3*m + 3*m**2 + 5*m. Calculate 3*h(u) + 2*r(u).
3*u**2 - u - 2
Let j(w) = -340*w + 6. Let u(s) = 339*s - 8. Give 4*j(b) + 3*u(b).
-343*b
Let c(f) = -2*f**2 + 3*f + 12. Let x(j) = -j**2 + 2*j + 11. Give 4*c(w) - 5*x(w).
-3*w**2 + 2*w - 7
Let n(j) = -7*j**2 + 5*j + 3. Let v(g) = -35*g**2 + 26*g + 17. Calculate 11*n(t) - 2*v(t).
-7*t**2 + 3*t - 1
Let p(w) = -14*w**2 - 17*w + 17. Let l(c) = -5*c**2 - 6*c + 6. Suppose 4*s = k + 2 + 8, -20 = -5*s. Let r be 88/(-5) + (-24)/(-40). Determine k*p(z) + r*l(z).
z**2
Let v(m) = 7*m - 6. Let p(f) = -f + 9. Let k be p(7). Let z(c) = -2*c + c + 3 - k. Suppose 0 = o + 4*t + 11, 0 = -2*o + 2*t + 2*t + 14. Give o*v(y) + 5*z(y).
2*y - 1
Let u(l) = -5*l**3 + 2*l - 2. Suppose 40*g - 76*g = -36. Suppose 0 = 2*s + s. Suppose -4*a = 8 - s. Let y(o) = -o**3 + o - 1. Determine a*y(n) + g*u(n).
-3*n**3
Let l(i) = i - 1. Let k(d) = -7*d + 9. Suppose -2*v + 78 - 90 = 0. What is v*l(z) - k(z)?
z - 3
Let u(a) = -11*a. Let f be ((-2506)/(-105))/(-1) - 4/30. Let v(o) = o. What is f*v(h) - 3*u(h)?
9*h
Let f(r) = 4*r**2 + 2 - 14*r + 12*r - 3*r**2. Let q(y) = y**3 + y**2 - y + 1. Let z = -2 - -4. Suppose 0 = z*u - 4 - 0. Give u*q(o) - f(o).
2*o**3 + o**2
Let k(v) = -621*v + 12. Let g(f) = 310*f - 7. Calculate 7*g(l) + 4*k(l).
-314*l - 1
Suppose 0 = -4*a + 9*a - 25. Suppose -5*b - 3 + 33 = 0. Suppose 0 = -m - 5*p - b, -2*m + 6*m + p = -a. Let z(n) = -1. Let c(o) = o + 3. What is m*c(k) - 3*z(k)?
-k
Suppose -19 = 4*y - 3*p, -38 + 19 = -y - 4*p. Let a(x) = -x + x - 4*x. Let h(c) = c - c - c + 0. Give y*a(i) + 2*h(i).
2*i
Let s(g) = -g**2 - 8*g + 2. Let o(p) = 2 + 28*p - 21*p + p**2 - 4. Calculate 7*o(i) + 6*s(i).
i**2 + i - 2
Suppose 3 - 9 = -3*g. Let i(m) = m**3 + m**2 - 2*m. Let y(p) be the first derivative of -p**4 - p**3 + 7*p**2/2 + 1. Calculate g*y(o) + 7*i(o).
-o**3 + o**2
Let s(v) = 32*v**3 - 6*v**2 + 6*v + 7. Let r(w) = -63*w**3 + 11*w**2 - 11*w - 13. What is -6*r(h) - 11*s(h)?
26*h**3 + 1
Let a(b) = 20*b**3 + 14*b**2 - 12*b. Let v(h) = 2*h**3 - 4*h - 7*h**3 + 3*h**3 + 5*h**2 + 9*h**3. Calculate 5*a(o) - 14*v(o).
2*o**3 - 4*o
Let i(u) = u**3 - u**2 + u. Suppose 3*y + 264 = -4*p, -132 = 2*p - 5*y - 0*y. Let d = -65 - p. Let f(l) = 3*l**3 - 3*l**2 + 2*l. What is d*f(m) - 4*i(m)?
-m**3 + m**2 - 2*m
Let n(r) = -19*r**3 + 2*r**2 - r - 1. Let t(d) = 58*d**3 - 7*d**2 + 4*d + 3. Determine -7*n(c) - 2*t(c).
17*c**3 - c + 1
Let y(x) = x**2 - 4*x. Let v be 0 + -2 - (-5 - -1). Let s be y(v). Let m(f) = -f**2 + 8. Let o(t) = t**2 - 7. Give s*o(q) - 3*m(q).
-q**2 + 4
Let w(u) = -53*u - 6. Let h(p) = 55*p + 4. Determine 3*h(c) + 2*w(c).
59*c
Let u(l) = -18*l**2 - 5. Let j(q) be the first derivative of -6*q**3 - 4*q - 108. What is -5*j(r) + 4*u(r)?
18*r**2
Let t(a) = -4*a + 6. Let v(q) = 4*q - 7. Let y(u) = 2*u**2 + 32*u + 52. Let c be y(-14). Give c*v(x) - 5*t(x).
4*x - 2
Let p(t) = t**3 + 8*t**2 + 14*t - 3. Let j(h) = -3*h**2 - 5*h + 1. Suppose 12 = y + 5*l, 4*l - 15 = y - 0*y. What is y*p(b) - 8*j(b)?
-3*b**3 - 2*b + 1
Let v be 5 + -21 + (13 - 0). Let r(z) = 22*z - 3. Let o(y) = 572*y - 77. Give v*o(a) + 77*r(a).
-22*a
Let s(v) = -3*v**2 + 4*v - 4. Let a(k) = 10*k - k - k**2 - 9*k + k. What is 2*a(c) - s(c)?
c**2 - 2*c + 4
Let c(l) = -l + 29. Let a(f) = -f + 29. Give 6*a(b) - 5*c(b).
-b + 29
Let h(g) = -2*g**3 - 2*g**2 + 12*g. Let b(v) = -10*v**3 - 9*v**2 + 49*v - 1. Give -2*b(a) + 9*h(a).
2*a**3 + 10*a + 2
Let g(j) = -j. Let z = -219 - -218. Let m(v) be the second derivative of v**3/2 + 2*v. Give z*m(x) - 5*g(x).
2*x
Let o(a) = a + 7. Suppose 0 = -2*b - 7 - 3. Let y = 33 + -26. Let l(t) = -y + 22 - 12. What is b*l(m) + 2*o(m)?
2*m - 1
Let n(p) = -58*p - 28. Let w(o) = -127*o - 57. What is 9*n(g) - 4*w(g)?
-14*g - 24
Let z(c) = -3*c**2 - 2*c. Let u be (-14)/4*4/(-7). Let n(j) be the first derivative of j**3 + 3*j**2/2 - 16. Give u*n(i) + 3*z(i).
-3*i**2
Let v(q) = q**2 + 11*q - 76. Let a be v(5). Let m(k) = -6. Let h(u) = -u - 7. Determine a*m(y) - 3*h(y).
3*y - 3
Let n(r) = 380*r**3 + 3*r**2 - 3*r + 3. Let m(p) = 1136*p**3 + 8*p**2 - 8*p + 8. Calculate 3*m(q) - 8*n(q).
368*q**3
Let o(u) = -2*u + 2. Let k(y) = 4318*y - 4572. Give 2*k(s) + 4572*o(s).
-508*s
Let n(c) = -c**3 + 4*c**2 + 2*c. Let s(t) = 3*t**3 - 6*t**2 - 3*t. What is -9*n(r) - 5*s(r)?
-6*r**3 - 6*r**2 - 3*r
Let x(i) = -7*i**2 - 2*i. Let n(l) = 26*l**2 + 45*l + 69*l**2 + 60*l**2. Calculate -2*n(u) - 45*x(u).
5*u**2
Let v(j) = -243*j - 10. Let t(d) = -241*d - 12. Determine -4*t(s) + 5*v(s).
-251*s - 2
Let d(c) = -9*c**3 + c**2 - 5*c + 41. Let g(h) = -5*h**3 + h**2 - 3*h + 20. Calculate -3*d(k) + 5*g(k).
2*k**3 + 2*k**2 - 23
Let n(k) = 2*k**3 - 6*k**2 - 14*k + 8. Suppose 0 = j + 1, -2*r - 5*j + 2 - 1 = 0. Let f(g) = -g**3 + 2*g**2 + 5*g - 3. Determine r*n(s) + 8*f(s).
-2*s**3 - 2*s**2 - 2*s
Let c(j) = -1341900*j**2 - 2840*j + 11360. Let b(z) = 1417*z**2 + 3*z - 12. Give -2840*b(l) - 3*c(l).
1420*l**2
Let h(t) = t**2 + t + 1. Let k(l) = -l - 5. Let g be k(-3). Let p be 1*(g - (-2 + -3)). Let x = p + -4. Let c(q) = -6*q**2 - 4*q - 5. Give x*c(y) - 4*h(y).
2*y**2 + 1
Let a(k) = 2*k**3 + 2*k**2 - 2. Let o(z) be the first derivative of -3*z**4/4 - 4*z**3/3 + 3*z + 221. What is 5*a(b) + 3*o(b)?
b**3 - 2*b**2 - 1
Let z(i) be the third derivative of 0*i + 1/24*i**4 + 0*i**3 - 4*i**2 + 0. Let w(l) = -2*l. Determine w(h) + 3*z(h).
h
Let n(l) = -1175*l - 6. Let p(t) = 2350*t + 13. Calculate 9*n(w) + 4*p(w).
-1175*w - 2
Let p = -67 - -60. Let i(m) = -3*m - 6. Let a(q) = -q - 3. Suppose 0 = 2*y, 5*y - 12 = -6*o + 2*o. What is o*i(u) + p*a(u)?
-2*u + 3
Let d(o) = -6*o - 52. Let g(z) = -11*z - 105. What is 5*d(u) - 3*g(u)?
3*u + 55
Let g(j) = -j + 1. Let o(k) = 4*k - 7. What is -5*g(m) - o(m)?
m + 2
Let u(x) = -2*x + 4. Let o = 84 + -79. Let z(a) = -a + 2. Determine o*z(l) - 2*u(l).
-l + 2
Let f(b) = -345*b**3 + 3*b. Let y(q) = -345*q**3 + 3*q. Calculate -7*f(i) + 8*y(i).
-345*i**3 + 3*i
Let o(k) = 531*k**3 - 2*k**2. Let x(y) = -6903*y**3 + 27*y**2. What is -27*o(s) - 2*x(s)?
-531*s**3
Let p be 78/9 - (-4)/(-6). Let l = p - 3. Suppose 10 = -5*b + 40. Let g(r) = -7*r**2 - 6*r + 6. Let u(d) = 6*d**2 + 5*d - 5. Give b*u(m) + l*g(m).
m**2
Let r(l) = -32*l**3 - 18*l**2 + 5*l. Let j(z) = -34*z**3 - 15*z**2 + 4*z. Calculate -6*j(u) + 5*r(u).
44*u**3 + u
Let n(j) = -11*j**2 + 2*j - 1. Let f(u) = -44*u**2 + 9*u - 5. Determine -2*f(h) + 9*n(h).
-11*h**2 + 1
Let c(y) = -1 + y**3 + 3 + 5. Suppose 5*q + 59*q - 448 = 0. Let p(k) = 2. Determine q*p(i) - 2*c(i).
-2*i**3
Let o(g) = 6*g + 1. Let m(p) = -p + 1. Let x(l) = -5*m(l) - o(l). Let n(z) = -z - 9. Determine 5*n(k) - 7*x(k).
2*k - 3
Suppose -28 = -6*t + 2. Let i be (-16)/(-2)*1/2. Let u(y) = -2*y**2 + i*y**2 - 2 - 5*y + 0*y**2. Let l(f) = -4*f**2 + 9*f + 3. What is t*u(d) + 3*l(d)?
-2*d**2 + 2*d - 1
Let t(r) = -r**3 + 7*r**2 - 13*r + 7. Let s(y) = y**3 - 4*y**2 + 7*y - 4. Let x = -108 - -101. Determine x*s(d) - 4*t(d).
-3*d**3 + 3*d
Let v(z) be the first derivative of 5*z**4/4 - 4*z**2 - 4*z - 7. Let y(g) = 3*g**3 - 3*g**3 + 4*g**3 - 3 - 7*g. Give -5*v(