 + 1
Let d(m) = -2*m - 1. Let z = -1806 - -3613/2. Let l(b) be the first derivative of -b - 8 + z*b**2. Determine d(p) + l(p).
-p - 2
Let k(j) = -2038407*j - 9449. Let x(h) = 863*h + 4. Give 4*k(m) + 9449*x(m).
859*m
Let l be 350/(-140) - 2/4. Let h(d) = -12*d**2. Let o(q) = -11*q**2. What is l*h(u) + 4*o(u)?
-8*u**2
Let p(r) = -5*r**2 - 2*r**3 + 6*r**2 + 7*r**2 - 6 - 5*r**2 + 3*r**2 - 2*r. Let z(j) = j**2 - 1. What is -p(s) + 6*z(s)?
2*s**3 + 2*s
Let p = 1008 + -1001. Let c(j) = -4*j**3 - 10*j**2 + 16*j + 7. Let d(q) = 3*q**3 + 7*q**2 - 11*q - 5. Determine p*d(w) + 5*c(w).
w**3 - w**2 + 3*w
Let q(u) = u. Let o(w) = -w**3 + 2*w**2 - 5*w + 1. Let h(l) = -l**2 + l. Suppose -7 = -6*k - k. Let d(z) = k*o(z) + 2*h(z). Determine -d(y) - 3*q(y).
y**3 - 1
Let p(w) = -11*w + 965. Let c(j) = 9*j - 962. Give 6*c(v) + 5*p(v).
-v - 947
Let p(u) = u**2 - 2*u + 4. Suppose 4*r - 2*k = 28, 4*r + 2*k - 53 + 41 = 0. Let i(l) = 2*l - 2 - 2*l + 2*l - l. What is r*i(m) + 2*p(m)?
2*m**2 + m - 2
Let q(x) = 18*x + 57. Let z(b) = 2*b + 8. Give 4*q(n) - 27*z(n).
18*n + 12
Let s = 0 + -5. Let q(x) be the third derivative of -x**6/30 - x**5/6 + 7*x**4/24 + 107*x**2. Let c(a) = 3*a**3 + 7*a**2 - 5*a. Give s*q(i) - 7*c(i).
-i**3 + i**2
Let g(j) = 3*j**3 - 4*j**2 - 4*j - 5. Let p(s) be the second derivative of s**5/20 - s**4/12 - s**3/6 - s**2/2 - 84*s. What is g(t) - 4*p(t)?
-t**3 - 1
Let y(z) be the first derivative of -3*z**2/2 + 3*z + 2. Let s = -8 - -13. Let f(r) = -r + 1. Suppose 11*m + 16 = 3*m. Give m*y(j) + s*f(j).
j - 1
Let c(w) be the first derivative of 2*w**2 - 2*w + 1. Let b(t) = 3*t - 2. Suppose 2*q - 145 = 117. Let k = 129 - q. Give k*c(h) + 3*b(h).
h - 2
Let w(b) be the second derivative of 0 - b - 1/10*b**5 + 17/6*b**3 - 1/6*b**4 + 0*b**2. Let t(y) = -4*y + y**3 + 2*y - 6*y + y**2. What is -13*t(m) - 6*w(m)?
-m**3 - m**2 + 2*m
Let j(z) = 13*z**3 + 3*z**2 - 7*z + 7. Let n(i) be the first derivative of -4*i - 2/3*i**3 + 2*i**2 + 20 - 7/4*i**4. Give 4*j(b) + 7*n(b).
3*b**3 - 2*b**2
Let f(k) = -15*k**3 + 3*k**2 - 3*k - 3. Suppose 4*y + h + 10 = 0, -5*y + 69*h = 70*h + 13. Let a(n) = 29*n**3 - 5*n**2 + 5*n + 5. Give y*a(d) - 5*f(d).
-12*d**3
Let j(f) = -1 + 0*f + 0 + 2*f + 5 + 5*f**2. Let h(r) = r - 1. Let p(a) = -9*a**2 + 2*a - 12. Let g(l) = 5*h(l) - p(l). Calculate -3*g(y) + 5*j(y).
-2*y**2 + y - 1
Let z(n) = -n**2 - 2. Let p(v) = 8*v**2 + 2*v - 3. Let m(c) = -p(c) - 2*z(c). Let q(h) = -2*h + h**2 - 6*h**2 + 3 + 3. What is -6*m(r) + 7*q(r)?
r**2 - 2*r
Let x(l) = 4*l + 247. Let w(t) = t + 83. Calculate -14*w(q) + 4*x(q).
2*q - 174
Let q(s) = -2*s + 3. Let d(i) = -i**3 + 4*i - 7. Let f(m) = -m**3 - 7*m**2 + m + 10. Let w be f(-7). What is w*d(t) + 7*q(t)?
-3*t**3 - 2*t
Let i(a) = 4*a**2 - 9*a + 4. Let w(x) = 5*x**2 - 11*x + 5. Let g(z) = -6*i(z) + 5*w(z). Let h(t) = -3*t**2 + t - 1. Give 2*g(c) + 2*h(c).
-4*c**2
Let b(k) be the third derivative of k**5/20 - k**4/24 + 125*k**2. Let g(t) = 6*t**2 - 3*t. Give 7*b(p) - 3*g(p).
3*p**2 + 2*p
Let g(p) = 5*p**2 - 4*p + 10. Let i(a) = 4*a**2 - 6*a + 9. Let j(n) = 8*n**2 - 11*n + 18. Let m(u) = -5*i(u) + 3*j(u). Give 3*g(y) - 4*m(y).
-y**2 - 6
Let u(t) = -23920*t**3 - 78*t - 39. Let o(p) = -1259*p**3 - 4*p - 2. Determine 39*o(j) - 2*u(j).
-1261*j**3
Let t(y) = -22*y**3 + 9*y**2 - 6*y - 14. Let b(h) = -11*h**3 + 5*h**2 - 3*h - 8. Determine 5*b(q) - 3*t(q).
11*q**3 - 2*q**2 + 3*q + 2
Let y(o) = 1. Let c(x) = -6*x - 5. Suppose 0 = -t + 4*b - 1, -2*b + 0*b = -2*t - 2. Determine t*c(d) - 5*y(d).
6*d
Let b(p) = 4513*p + 13. Let w(q) = 3008*q + 9. Give 5*b(f) - 7*w(f).
1509*f + 2
Let d(n) = 6*n**3 + 5*n + 4. Let p(y) = 5*y**3 + 4*y + 4. Let o(f) = 7*f - 30. Let l be o(5). Give l*p(b) - 4*d(b).
b**3 + 4
Suppose -24 = -4*t - 44. Let q be -1 + (0 - (-4)/1). Let c(g) = 5*g**2 - g**3 - q*g**3 - 6*g - g**3. Let u(z) = -4*z**3 + 4*z**2 - 5*z. Give t*c(b) + 6*u(b).
b**3 - b**2
Let d(i) = 5*i - 1. Let r = 43 + -27. Suppose -5*y + r = -y. Let c(q) = q. Calculate y*c(z) - d(z).
-z + 1
Let u(q) = -2*q + 2. Let c(i) = i + 22 - 46 + 23. Let h(x) = 3*c(x) + u(x). Let z(f) = -f + 2. Give -5*h(p) - 3*z(p).
-2*p - 1
Let i(t) = -4*t**3 - 4*t**2 - 5*t + 3. Let o(q) = 2*q**3 + 2*q**2 + 2*q - 1. What is 3*i(b) + 7*o(b)?
2*b**3 + 2*b**2 - b + 2
Let k(s) = 22*s - 3. Let j(a) = -a + 2. Calculate -4*j(h) - 2*k(h).
-40*h - 2
Let o(s) be the second derivative of -5*s**4/12 - s**3/3 - s**2 - 2*s - 95. Let f(k) = 11*k**2 + 5*k + 5. Suppose 7*a = 2*a + 25. Calculate a*o(w) + 2*f(w).
-3*w**2
Let y(d) be the first derivative of 5*d**2/2 + 8*d - 2833. Let b(c) = -c - 1. Let o = 2 + -1. Determine o*y(t) + 6*b(t).
-t + 2
Let y(i) = i**2 - i - 1. Let h(g) = -7*g**2 - 11*g - 6 - 7*g**2 + 17*g**2. What is -h(o) + 6*y(o)?
3*o**2 + 5*o
Let m(j) = 34*j**3 + 14*j**2 + 20*j - 17. Let c(x) = -11*x**3 - 5*x**2 - 7*x + 6. What is -17*c(u) - 6*m(u)?
-17*u**3 + u**2 - u
Suppose -61*t + 1 - 306 = 0. Let d(c) = -6. Let v be 2*(-2 - (-2 + 2)). Let s(i) = i + 7. Determine t*d(f) + v*s(f).
-4*f + 2
Let f(r) = 14*r - 8*r + 4 - 21 - 10*r. Let b = 13 - 7. Let g(z) = -z - 4. What is b*f(o) - 26*g(o)?
2*o + 2
Let n(f) = 3 + 0 - 2. Let k(r) = -r - 2. Calculate -2*k(o) - 3*n(o).
2*o + 1
Let c(u) = u**2 + 6*u + 172. Let t(s) = 2*s**2 + 10*s + 343. What is -5*c(m) + 3*t(m)?
m**2 + 169
Let x(m) = 8*m + 2. Let j(n) = -6*n - 7. Let f(p) = -3*p - 3. Let w(h) = -5*f(h) + 2*j(h). Let g be (-10094)/2575 + 4/(-50). Give g*x(i) + 11*w(i).
i + 3
Let f(n) = -2*n**2 + 96*n + 2. Let r(o) = 6*o**2 - 191*o - 5. Give 5*f(z) + 2*r(z).
2*z**2 + 98*z
Let d(v) = -15810*v**2 - 187*v - 374. Let i(m) = 170*m**2 + 2*m + 4. Give -2*d(x) - 187*i(x).
-170*x**2
Suppose 3*i + 8 = i. Let b(v) = v**2 + 5*v - 7. Let j(p) = p**2 - 159*p + 82*p + 80*p - 4. What is i*b(c) + 7*j(c)?
3*c**2 + c
Let d(g) = -196*g - 2. Let x(s) = -3*s - 1. Determine -3*d(b) + 6*x(b).
570*b
Let w(t) = 12*t + 5. Let z(u) = -u**3 - 13*u**2 + 2*u + 5. Let r be z(-13). Let y(j) = -49*j - 21. Determine r*w(g) - 5*y(g).
-7*g
Let o(s) = s**2. Let x be o(1). Let k(u) = 1. Let g(p) = p**2 + p**2 + 2*p**2 - 55 + 52 - 3*p**2. Calculate x*g(b) + 3*k(b).
b**2
Let s(u) = 13*u**2 - 3*u + 2. Let t(c) = -7*c**2 + 2*c - 1. Let n be 1/3 + (-15)/(-9) - 8. Give n*s(l) - 11*t(l).
-l**2 - 4*l - 1
Let d(a) = -a - 107. Let k(b) = -b - 107. Give 3*d(v) - 2*k(v).
-v - 107
Let u(w) = -25*w + 1. Let x(i) = 99*i - 3. Calculate 18*u(s) + 4*x(s).
-54*s + 6
Let g(y) = -48*y - 22 + 6 - 17. Let r(b) = b**2 - 4*b + 36. Let x be r(3). Let j(u) = -3*u - 2. Determine x*j(t) - 2*g(t).
-3*t
Let y(g) = -g**3 - 2*g**2. Let x(q) be the second derivative of -q**4/6 - q**3/6 - 11*q. Give 3*x(l) - 2*y(l).
2*l**3 - 2*l**2 - 3*l
Suppose -2*b - 124 = -6*b. Suppose 79 = 4*a + b. Let s(i) = a - i - 15*i - 1. Let d(k) = -3*k + 2. Determine 11*d(w) - 2*s(w).
-w
Let p(a) be the third derivative of a**6/40 + a**5/12 - 5*a**4/24 - a**3 - 337*a**2. Let o(d) = -2*d**3 - 4*d**2 + 4*d + 6. Calculate 5*o(v) + 4*p(v).
2*v**3 + 6
Let g(o) = 6*o**2 - 3*o - 5. Let b(p) = 4*p**2 - 2*p - 3. Let h(q) = 5*b(q) - 3*g(q). Let i(x) = -4*x**2 + 2*x - 1. What is -5*h(w) - 2*i(w)?
-2*w**2 + w + 2
Let w(f) = -4*f**2 + f + 1. Let n(i) = -7*i**2 + 4*i + 31. Calculate n(r) - 2*w(r).
r**2 + 2*r + 29
Let h(r) = r**2 - r + 1. Let w(t) = 14*t**3 + 3*t**2 - 5*t + 4. Determine 3*h(a) - w(a).
-14*a**3 + 2*a - 1
Let v(s) = -9*s + 1. Let g(n) = -61*n + 10*n + 38*n + 12*n. Calculate 4*g(w) - v(w).
5*w - 1
Let z(p) = 5*p**3 + 2*p**2 - 3*p - 2. Let v(d) = -d**3 - d**2 + 1. Determine -4*v(h) - z(h).
-h**3 + 2*h**2 + 3*h - 2
Let x(r) = 2*r**2 - r + 5. Let t(n) = -41*n + 612. Let c be t(15). Let z(g) = g**2 - g + 4. What is c*z(d) + 2*x(d)?
d**2 + d - 2
Let a(n) = -n - 3. Let m(w) = 9*w**2 - 3*w + 2. Let c(y) = -3*a(y) - m(y). Let o(r) = 3*r**2 - 2*r - 2. What is -2*c(u) - 7*o(u)?
-3*u**2 + 2*u
Let m(t) = 382*t - 7. Let b(f) = -382*f + 9. What is 3*b(k) + 4*m(k)?
382*k - 1
Let s(c) = 14*c - 20. Let x(n) = -6*n + n - 148 + 297 - 142. Let m(w) = -2*w + 2. Let a be m(4). Calculate a*s(p) - 17*x(p).
p + 1
Let d(c) = 3*c**3 - 6*c**2 - 6*c. Let n(m) = -1 + 1 + 17*m**3 + 5*m + 5*m**2 - 21*m**3. Determine 5*d(z) + 6*n(z).
-9*z**3
Let u(w) = -69*w**3 + 4*w. Let b(j) = j**3 + j. Determine 2*b(d) - u(d).
71*d**3 - 2*d
Let m(v) = -3*v**2 - 2*v. 