(r) = -12*r - 5. Calculate 18*k(x) + 5*v(x).
-6*x
Let q(i) = i**3 - 7*i**2 + 7*i - 2. Let w be q(6). Let j(g) = 2*g**2 - 5*g + 3. Let l(m) = 3*m**2 - 6*m + 4. Let y = 33 + -38. Calculate w*l(v) + y*j(v).
2*v**2 + v + 1
Suppose 10*l = -0*l + 40. Let q(b) = -13*b. Let y(i) = -6*i. Give l*q(v) - 9*y(v).
2*v
Let a(x) be the third derivative of -x**3 - 5/12*x**4 + 0*x - 6*x**2 + 0. Let y(h) = 3*h + 2. Give 2*a(z) + 7*y(z).
z + 2
Let a(f) = 7*f**2 + 4. Let l(u) = -209*u**2 - 121. Determine 121*a(r) + 4*l(r).
11*r**2
Let o(w) = 3*w**2 + 5*w. Let b(u) = -4*u**2 - 8*u. What is 5*b(m) + 7*o(m)?
m**2 - 5*m
Let y(v) = 2*v**2 - v. Suppose -2*o + 5*o = 12. Let u(i) be the second derivative of o*i + 0*i**2 + 0 + 1/12*i**4 - 1/6*i**3. Determine -4*u(l) + 3*y(l).
2*l**2 + l
Let c(t) = -6*t + 1. Let d = 3 - 7. Let r(x) be the second derivative of -5*x**3/6 + x**2/2 - 2*x. Give d*c(l) + 5*r(l).
-l + 1
Let m(p) = 104*p - 16. Let y(n) = -21*n + 3. Determine 2*m(w) + 11*y(w).
-23*w + 1
Let k(c) = 7*c**2 + 7*c + 6. Let g = 2 + -8. Let p(v) = -18*v**2 - 11*v - 8. Let i(t) = -6*t**2 - 4*t - 3. Let l(j) = 7*i(j) - 2*p(j). Give g*l(x) - 5*k(x).
x**2 + x
Let m(a) = 2*a + 2. Let d(j) = -j - 2. Suppose -5*c - t = t - 16, 4*c - 5*t + 7 = 0. Determine c*d(k) + 3*m(k).
4*k + 2
Let x(v) = 2*v**2 + 3*v - 9. Let m(c) be the first derivative of -c**3/3 - c**2 + 5*c - 1. Give -5*m(q) - 3*x(q).
-q**2 + q + 2
Let o(s) be the second derivative of -s**3/3 + 2*s**2 + 2*s. Let y(u) = 1. Suppose 0 = 5*f + r - 15, 5 - 25 = -5*f - 2*r. Determine f*y(m) - o(m).
2*m - 2
Suppose 4 = 2*s - 2. Let c(w) be the first derivative of -1/2*w**2 - s + 0*w. Let u(p) = -p. Calculate c(g) - 3*u(g).
2*g
Let r(f) = 2 + f**3 + 2*f - 2*f**3 + f**2 - 3 - f. Let j(m) = 3*m**3 + 0 + 0 - 4*m + 4 - 4*m**2. Determine j(k) + 4*r(k).
-k**3
Let y(u) = -3*u**2 - 4*u - 3. Let g = -90 + 87. Let n(m) = -3*m**2 - 5*m - 4. What is g*n(o) + 4*y(o)?
-3*o**2 - o
Let p = -42 + 35. Let n(b) = -b**2 + 3*b - 4. Let i(u) = 2*u**2 - 5*u + 7. What is p*n(k) - 4*i(k)?
-k**2 - k
Let y(g) = -g - 1. Let n(m) = -10*m - 10. Suppose 3*b + 30 = -5*c - 46, -3*c = 6. Calculate b*y(w) + 2*n(w).
2*w + 2
Let g(z) = 34*z**2 + 4*z. Let p(k) = k. Determine g(m) - 4*p(m).
34*m**2
Let v(a) = -1. Let i(w) = 1 - 3 + 3 + 2*w + 4. Determine -i(y) - 6*v(y).
-2*y + 1
Let z(u) = u**3 - u - 1. Let d(c) = -5*c**3 + c**2 + 4*c + 7. Determine -d(b) - 4*z(b).
b**3 - b**2 - 3
Let a(s) = -3*s**2 - 4*s. Let m(d) = 3*d**2 - 2*d + 3*d - 6*d**2 - 6*d. What is 5*a(y) - 4*m(y)?
-3*y**2
Let r(z) = -21*z - 14. Let j(q) = -4*q - 3. Let w(n) = 11*j(n) - 2*r(n). Let t be (-38)/9 + 10/45. Let k(g) = -g - 4. Give t*k(c) + 3*w(c).
-2*c + 1
Let c(x) = -4*x. Let b = -114 - -106. Let l(d) = d. Determine b*l(q) - 3*c(q).
4*q
Let q(f) = -3*f**2 - 5*f + 2. Let p be (-6)/3 + -5 + 14. Let y(t) = -2*t**2 - 3*t + 1. Give p*y(i) - 4*q(i).
-2*i**2 - i - 1
Let v(p) = p**3 + 2. Let r(j) = -5*j**3 - 11. Suppose -x + 4*q = 4*x + 42, 9 = 3*q. What is x*r(u) - 33*v(u)?
-3*u**3
Let k(d) = 15*d - 7. Let n(a) = -7*a + 4. Calculate 3*k(v) + 5*n(v).
10*v - 1
Let n(c) be the first derivative of c**4/2 + c**3/3 - 2*c - 1. Let d(z) = 3*z**2 - 1 - 5*z**3 - 5*z**2 + 2*z**3 + 5. Determine -3*d(y) - 5*n(y).
-y**3 + y**2 - 2
Let u(p) = 114*p**2 - 16*p + 26. Let v(m) = 23*m**2 - 3*m + 5. Determine -3*u(w) + 16*v(w).
26*w**2 + 2
Let c(w) = 50*w + 11. Let v(b) = 25*b + 5. Determine 6*c(r) - 13*v(r).
-25*r + 1
Let m(i) = -11*i - 1. Let j(l) = l + 1. Determine j(a) + m(a).
-10*a
Let p(b) = b**3 - 2*b**2 - b - 1. Let h be p(3). Let s = -1 - 1. Let g(j) = -2*j - 2. Let l(v) = -4*v - 5. Calculate h*g(c) + s*l(c).
-2*c
Let o = -127 - -118. Let t(s) = -5*s + 11. Suppose 0 = 6*k - 11*k - 20. Let l(r) = 2*r - 5. What is k*t(z) + o*l(z)?
2*z + 1
Let k(v) be the second derivative of v**3/3 + 5*v**2/2 + 27*v. Let g(y) = 1. What is -10*g(q) + 2*k(q)?
4*q
Let u(o) = 2*o**2 + 6 + 14*o - 4*o**2 - 3*o**2. Let b(n) = -n**2 - n. Let a(x) = x**2 + 13*x + 4. Let s(d) = a(d) + 4*b(d). Give 8*s(y) - 5*u(y).
y**2 + 2*y + 2
Suppose -4*g - g + 395 = 0. Suppose -g = -4*r + 109. Suppose -3*v = 11 - r. Let b(n) = -10*n**2 + 12. Let t(s) = s**2 - 1. Determine v*t(h) + b(h).
2*h**2
Let s(f) = 14*f**2 + 5. Let b(x) = 7*x**2 + 2. What is 15*b(i) - 6*s(i)?
21*i**2
Let t(p) = 2*p + 38. Let w be t(-17). Let j(a) = 8*a**2 - 5*a + 5. Let k(r) = -7*r**2 + 4*r - 4. Give w*j(u) + 5*k(u).
-3*u**2
Let q(l) = -2*l**2 - l + 1. Let v(k) be the third derivative of 2*k**5/15 + 5*k**4/24 - 5*k**3/6 + 2*k**2. Give -9*q(s) - 2*v(s).
2*s**2 - s + 1
Let k(q) = 10*q**2 + 2*q. Let d(a) = 51*a**2 + 11*a. Calculate -2*d(l) + 11*k(l).
8*l**2
Let j(w) = w**2 + w. Let i be 1 - (2 + 0) - -7. Let a(h) = 7*h**2 + 6*h - 2. Calculate i*j(x) - a(x).
-x**2 + 2
Let v(o) = -3*o**3 - 4*o**2 - 4*o + 2. Let z(y) = 4*y**3 + 5*y**2 + 5*y - 3. Let x(t) = -t**2 - 5*t - 5. Let h be x(-5). What is h*v(m) - 4*z(m)?
-m**3 + 2
Let l(y) = -y**3 + y**2 + 1. Let w(p) = -4*p**3 + 5*p**2 + 4. Calculate 6*l(j) - w(j).
-2*j**3 + j**2 + 2
Let d(p) = -5*p**3 + p**2 - 3*p - 4. Let f(v) = 6*v**3 - v**2 + 4*v + 5. Suppose -5*i + 2*i = -15. Give i*d(y) + 4*f(y).
-y**3 + y**2 + y
Let k(l) = -5*l + 11. Let s(y) = -3*y + 6. Let v = -125 - -129. Calculate v*k(w) - 7*s(w).
w + 2
Let d(x) = -40*x**2 + 9*x - 1. Let w(t) = -60*t**2 + 14*t - 2. What is 8*d(o) - 5*w(o)?
-20*o**2 + 2*o + 2
Let y(j) = 2*j**3 + 3. Let u(w) = -w**3 - 4*w**2 - 6. Let r(k) = -k**3 + k**2. Let i(d) = 4*r(d) + u(d). Give 4*i(s) + 9*y(s).
-2*s**3 + 3
Let o(s) = s + 1. Let z(n) = -8*n - 8. What is 28*o(v) + 4*z(v)?
-4*v - 4
Let k(b) = b - 1. Let j(i) be the second derivative of 2*i**3/3 - i**2/2 + 7*i. Determine -j(g) + 2*k(g).
-2*g - 1
Let w(c) = -2*c + 3. Let r(k) be the second derivative of k**3/2 - 2*k**2 - 2*k. Let m be (5 - 0)*(-8 + 9). What is m*r(o) + 7*w(o)?
o + 1
Let t(z) = z**2. Let m(n) = -1 - 2 + 2. Let i be ((-18)/(-10))/((-3)/(-10)). Suppose 5*q - 4 = i. Determine q*t(b) + m(b).
2*b**2 - 1
Let j(a) = -41*a. Let n(t) = 2*t - 51 + 3*t + 51. Calculate -5*j(z) - 40*n(z).
5*z
Let j(k) = k**2 + k. Let x(y) = 2*y**3 + 2*y**2 + 3*y - 4. What is 2*j(h) - x(h)?
-2*h**3 - h + 4
Let j(t) be the first derivative of -3*t**2/2 + 1. Let v(s) = 2*s. Let k = -25 - -21. Determine k*v(a) - 3*j(a).
a
Let j(o) = -5*o**3 - 2*o**2 - 5*o + 1. Let b(k) = -6*k**3 - 2*k**2 - 4*k + 1. Determine -4*b(h) + 3*j(h).
9*h**3 + 2*h**2 + h - 1
Let v be ((-4)/2)/((-21)/42). Let q(z) = z**3 - 2*z**2. Let w(u) = u**3 - 2*u**2. Determine v*w(g) - 5*q(g).
-g**3 + 2*g**2
Let n(f) = -f + 1. Let r(t) = 117*t - 99. Calculate -396*n(s) - 4*r(s).
-72*s
Let m(s) = -4*s**3 - 4*s + 7. Let x(f) = 3 + 189*f - 94*f - 97*f - 2*f**3. Determine -2*m(l) + 5*x(l).
-2*l**3 - 2*l + 1
Let s(u) = 16*u**3 - 10*u**2 - 10*u + 10. Let w(r) = -5*r**3 + 3*r**2 + 3*r - 3. Suppose -l + 8 = 3*l. Suppose l*h = 5*h - 9. What is h*s(t) + 10*w(t)?
-2*t**3
Let t(c) = -4*c + 4. Let s(n) = 11*n - 12. Calculate -3*s(w) - 8*t(w).
-w + 4
Let m(z) be the third derivative of z**6/120 + z**4/6 + 2*z**3/3 - 16*z**2. Let h(g) = -2*g**3 - 5*g - 5. Give 4*h(j) + 5*m(j).
-3*j**3
Let f(n) = 11*n - 10. Let t(c) = 2*c - 1. Give f(l) - 6*t(l).
-l - 4
Let t(n) = 1. Let o be (3/12)/((-1)/(-4)). Suppose -g - 3*g - 20 = -4*m, -2*m - g = -1. Let f(l) = -3 - 2*l - l**2 + l**m + 2*l**2. Calculate o*f(k) + 3*t(k).
2*k**2 - 2*k
Let h(n) be the third derivative of -5*n**4/24 - n**3 + 15*n**2. Let l(y) = -55*y - 65. Calculate -65*h(t) + 6*l(t).
-5*t
Let c(i) = -8*i + 5. Let t(u) = -17*u + 11. Let w be (-2)/11 + (-112)/(-11) + -4. Determine w*t(v) - 13*c(v).
2*v + 1
Let n(r) = -3*r**3 - 2 + r**2 - r**2 + 5*r + r**2 + r**3. Let d(y) = -y**3 + 2*y - 1. Suppose 0 = -2*u - p - 7, 1 = -u + 3*p + 8. What is u*n(a) + 5*d(a)?
-a**3 - 2*a**2 - 1
Let t(c) = -14*c**2 - 8*c. Suppose j + 4 = -j. Let o be j/6*0 - -20. Let q be (-150)/o + 1/(-2). Let a(h) = -9*h**2 - 5*h. What is q*a(y) + 5*t(y)?
2*y**2
Let p(j) be the first derivative of j**3/3 + j**2/2 + j + 18. Let x(w) = -w**2 - 4*w. Calculate 3*p(v) + x(v).
2*v**2 - v + 3
Let w(k) = 17*k - 1. Let a(o) = 2*o. Calculate 22*a(t) - 2*w(t).
10*t + 2
Let x(u) = u**2 - 3*u + 2. Let m(t) = 1 - 5 + t**2 + 5. Give 3*m(a) - x(a).
2*a**2 + 3*a + 1
Let n(l) = -l**3 - l**2 - l + 1. Let h(i) = -3*i