- 7. Let j(o) = -o**2 - o - 1. What is i*s(z) + 5*j(z)?
2*z**3 + 2*z**2
Let b(o) be the first derivative of 4*o**4 - 4*o**3/3 - 5*o**2/2 - 4*o + 470. Let x(s) = 16*s**3 - 3*s**2 - 4*s - 3. What is -3*b(i) + 4*x(i)?
16*i**3 - i
Let v(o) = 0*o + 4*o**2 + 4*o + 3*o**2. Let z(p) = p + 11. Let d be z(-7). Let c(g) = 6*g + 0*g**2 - 9*g - 10*g - 36*g**2 - 8*g. What is d*c(q) + 21*v(q)?
3*q**2
Let c(d) = -2*d**3 + 14*d**2 - 3*d. Let o(q) = 2*q**3 - 12*q**2 + 3*q. Give -6*c(b) - 7*o(b).
-2*b**3 - 3*b
Let k(o) = -308*o**3 - 28*o**2 + 28*o - 28. Let f(j) = -56*j**3 - 5*j**2 + 5*j - 5. Suppose -100*a = -15*a + 27 + 398. Determine a*k(h) + 28*f(h).
-28*h**3
Let c(t) = -2666*t**3 + 10*t**2 - 15*t - 5. Let x(f) = 7998*f**3 - 28*f**2 + 42*f + 14. Give -14*c(k) - 5*x(k).
-2666*k**3
Let k(y) be the second derivative of -3*y**5/20 - y**4/6 + 5*y**3/2 - y**2 - 1736*y. Let m(c) = -c**3 - c**2 - 1. Calculate k(t) - 2*m(t).
-t**3 + 15*t
Let g(t) be the first derivative of -5*t**4/4 - 7*t**2/2 - 3*t - 277. Let p(n) = -11*n**3 - 15*n - 7. What is -14*g(s) + 6*p(s)?
4*s**3 + 8*s
Let l(d) = 21625*d**2 + 33*d + 11. Let r(p) = -7207*p**2 - 12*p - 4. What is -4*l(w) - 11*r(w)?
-7223*w**2
Let n(v) = -v**3 + 11*v**2 - 16*v + 16. Let r be 88*-1 + (-12)/4. Let m = r - -166. Let h(k) = -2*k**2 - m*k - 3 + 37*k + 41*k. Give -11*h(u) - 2*n(u).
2*u**3 - u + 1
Let v(a) = 7*a - 4. Let l(w) be the first derivative of 62 + w - 1/2*w**2. Give -3*l(u) - v(u).
-4*u + 1
Let l(u) = 9*u + 1. Let c(y) = 47*y - 768. Determine c(o) - 5*l(o).
2*o - 773
Let d(h) = 5*h**3 - 3*h**2 - 4*h - 7. Let a(o) be the third derivative of -o**6/60 + o**5/60 + o**4/12 + o**3/2 + 8*o**2 - 11*o. Determine -7*a(x) - 3*d(x).
-x**3 + 2*x**2 - 2*x
Let k = -6718 + 6723. Let g(m) = m**2 - m + 1. Let j(f) = -5*f + 6. Give k*g(c) - j(c).
5*c**2 - 1
Let j(h) = 1171*h + 1169*h + 1166*h - 2 - 3511*h. Let p(w) = 10*w + 4. Let z(k) = 4*k + 3. Let l be z(-2). What is l*j(a) - 3*p(a)?
-5*a - 2
Let z(v) = 10*v - v - 6*v**2 + 0*v. Suppose 408*t + 205*t + 5245 = -436*t. Let p(j) = -9*j**2 + 13*j. Calculate t*p(r) + 7*z(r).
3*r**2 - 2*r
Let o(j) = j + 16. Let m(v) = -1. Let f = 2957 - 2954. Give f*m(l) + o(l).
l + 13
Let d(u) = 52*u**2 + 181*u + 18. Let q(y) = 13*y**2 + 45*y + 4. Give -2*d(c) + 9*q(c).
13*c**2 + 43*c
Let x(s) = -50939*s - 682. Let v(y) = 10188*y + 124. What is 11*v(l) + 2*x(l)?
10190*l
Let z = -94 + 145. Suppose -z = -7*g - 30. Let m(l) = 17*l**2 + 7. Let w(q) = 8*q**2 + 3. What is g*m(i) - 7*w(i)?
-5*i**2
Let b(a) = 6*a + 18. Let y(p) = 1559*p + 2 - 7 - 7 - 1563*p. Calculate -5*b(h) - 8*y(h).
2*h + 6
Let i(j) = -6*j**2 + 41*j + 22. Let c(r) = -7*r**2 + 46*r + 33. What is -3*c(n) + 4*i(n)?
-3*n**2 + 26*n - 11
Let a(p) = -p**2 - p. Suppose 0 = 76*v - 80*v - 56. Let n be (-40)/v - (-3)/21. Suppose 5 + 4 = n*w. Let l(m) = -m**2 - 2*m. Calculate w*l(y) - 6*a(y).
3*y**2
Let r(j) = 5. Let g(n) = n - 11. Suppose 0 = -28*s + 29*s - 2. Suppose s = a - 2*d + 9, -23 = -a - 4*d. Give a*g(p) + 7*r(p).
3*p + 2
Let y(i) = i**2 + 4*i - 4. Let b(g) = 8*g - 7. Let n(q) = -4*b(q) + 9*y(q). Let f(h) = 2 + 36*h**2 + 0*h - 4*h + 3*h - 38*h**2. Calculate -26*f(r) - 6*n(r).
-2*r**2 + 2*r - 4
Let b(y) = -7194*y - 192. Let u(v) = -1439*v - 35. Give 2*b(h) - 11*u(h).
1441*h + 1
Let o(z) = 9*z**3 - 7*z**2 - z - 7. Let b(g) = g**3 + 3*g**2 + g. Let r(f) = 6*b(f) + o(f). Let i(w) = -8*w**3 - 6*w**2 - 3*w + 4. Determine -11*i(j) - 6*r(j).
-2*j**3 + 3*j - 2
Let o(x) = 9*x**2 + 3*x - 6. Let a(k) = -17*k**2 - 7*k + 13. Let s(t) = t**2 + 153*t - 1295. Let m be s(8). Determine m*o(w) - 3*a(w).
-12*w**2 + 3
Let p(d) = 227*d + 12. Let c(t) = -t - 7. What is -2*c(w) - p(w)?
-225*w + 2
Let r(h) = 26*h**3 - h. Suppose 1879 = -428*x + 1023. Let p(y) = y**3. Give x*p(q) + r(q).
24*q**3 - q
Let q(r) = -3152*r + 9. Let j(m) = 3155*m - 11. Give 5*j(b) + 6*q(b).
-3137*b - 1
Let r(y) = 10*y + 10. Let m(l) = -10*l - 11. Let d(j) = 6*m(j) + 5*r(j). Let g(x) be the first derivative of 7*x**2/2 + 11*x + 115. Give 5*d(o) + 7*g(o).
-o - 3
Let w(p) = p + 11. Let m(d) = 17 + 510*d - 6 - 509*d - 5. Give -7*m(g) + 4*w(g).
-3*g + 2
Let x(k) = 8*k**2 - 8. Let v(p) = 7*p**2 - 7. Let w(r) = 6*v(r) - 5*x(r). Let f(h) = -2*h**2 + 1. Let i = -5934 + 5936. Give i*w(o) + 3*f(o).
-2*o**2 - 1
Suppose 0 = k - 5*g - 47, 4*k + 877 = 2*g + 921. Let j(d) = 6. Let o(z) = z - 11. What is k*j(p) + 4*o(p)?
4*p - 2
Let s(x) = -3*x**2 - 5 + 7 + 8*x + 974*x**3 - 972*x**3 + 1. Let u(i) = -3*i**3 + 4*i**2 - 9*i - 4. Let v be ((-3)/(-1))/(-10 + 9). Determine v*u(b) - 4*s(b).
b**3 - 5*b
Let k(y) = -61*y**2 - 4*y + 95. Let a(i) = -28*i**2 - 2*i + 44. Calculate -13*a(g) + 6*k(g).
-2*g**2 + 2*g - 2
Let j(g) = 48*g - 3788. Let q be j(79). Let d(v) = -v - 1. Let m(b) = 2*b - 6. Determine q*d(r) + m(r).
-2*r - 10
Let f be (3 - 4) + (1*-34)/(-2). Let p(d) = -7*d - f + 8*d + 19. Let b(m) = 2*m + 10. Give -2*b(x) + 7*p(x).
3*x + 1
Let g be 6 + 69 + 1 + 2. Suppose -3*f - g = 10*f. Let q(l) = 7*l**3 + 6*l**2 + 6*l - 6. Let u(a) = -13*a**3 - 11*a**2 - 11*a + 11. Determine f*u(x) - 11*q(x).
x**3
Suppose 221*h = 201*h + 80. Let k(v) = 27*v**2 + 2*v - 4. Let t(r) = 27*r**2 + 2*r - 5. Give h*t(w) - 5*k(w).
-27*w**2 - 2*w
Let w be 5 + 1*(-1 - 1)/1. Suppose 0 = w*g - 21. Let q(r) = 6*r - 16*r + 6*r + 5*r - g. Let x(m) = -1. Give -q(p) + 6*x(p).
-p + 1
Suppose 153*z + 330 = 168*z. Suppose -z*w + 154 + 0 = 0. Let a(m) = -10*m**2 + 7*m - 11. Let c(h) = -5*h**2 + 4*h - 6. Determine w*c(o) - 4*a(o).
5*o**2 + 2
Let d(q) = 29*q - 301. Let t(z) = 14*z - 151. Determine -6*d(k) + 11*t(k).
-20*k + 145
Let x = -185295 + 185290. Let t(i) = -7 - 6*i**3 - 2*i**2 + i**2 + 2*i**2. Let d(u) = u**3 - u**2 + 1. Give x*d(n) - t(n).
n**3 + 4*n**2 + 2
Let u(f) = -59184*f - 64. Let r(h) = 4553*h + 5. Give 64*r(c) + 5*u(c).
-4528*c
Let a(q) = -10*q - 10. Let h(k) = 2*k**2 + 27*k + 28. Let t(z) = -11*a(z) - 4*h(z). Let v(g) = 7*g**2 - 2*g + 2. Give 6*t(s) + 7*v(s).
s**2 - 2*s + 2
Let v(c) = -c**3 - c. Let y(l) = -2*l**3 + l**2 - 6*l + 3. Suppose -10 = 2*k + 80*r - 82*r, 4*k = -r. Determine k*y(u) + 3*v(u).
-u**3 - u**2 + 3*u - 3
Let u be (-4)/3*-20*(-63)/(-336). Let z(k) = 7*k - 2. Let n(g) be the second derivative of -4*g**3/3 + 3*g**2/2 + 5*g. What is u*z(c) + 4*n(c)?
3*c + 2
Let s(w) = -21331*w + 10. Let k(b) = 138652*b - 64. Determine -5*k(g) - 32*s(g).
-10668*g
Let d(u) = 7*u**2 - 5*u + 297. Let w(o) = 2*o**2 - o + 79. Let t(m) = 4*d(m) - 15*w(m). Let b(c) = -2*c**2 - 4*c + 4. What is -3*b(x) + 2*t(x)?
2*x**2 + 2*x - 6
Let p(y) = 117*y + 48. Let c(z) = -55*z - 22. Let x(m) = -9*c(m) - 4*p(m). Let a(t) = -27*t - 5. What is -4*a(h) - 3*x(h)?
27*h + 2
Let k(a) = -a + 1. Let i(q) = 2112 + 2091 - 4184. Calculate -2*i(r) + 38*k(r).
-38*r
Let j(m) = -25*m**2 + 17*m + 4. Let l(q) = -104*q**2 + 69*q + 18. Calculate 9*j(f) - 2*l(f).
-17*f**2 + 15*f
Suppose -5*c = -d - 0*d + 24, 4*d = -2*c - 14. Let h(g) = -239*g - 2154. Let f be h(-9). Let l(r) = 6*r - 4. Let v(u) = -u + 1. Calculate d*l(i) + f*v(i).
-3*i + 1
Let w(i) = -20*i + 12. Let g(a) = 3 + 318479*a - 318486*a + 1. Calculate 11*g(o) - 4*w(o).
3*o - 4
Let n(p) = -10*p**2 + 3*p - 1. Let x(q) = 4*q**3 + 52*q**2 - 16*q + 4. What is 16*n(v) + 3*x(v)?
12*v**3 - 4*v**2 - 4
Let s(c) = -1409*c**3 - 14*c**2 - 7*c - 14. Let h(b) = -705*b**3 - 6*b**2 - 3*b - 6. What is -14*h(i) + 6*s(i)?
1416*i**3
Let x(d) = 2*d**2 + 2*d + 1. Let n(f) = -5*f**2 + 1702*f - 6. Give -n(o) - 3*x(o).
-o**2 - 1708*o + 3
Let x(j) = -18*j**2 + 5*j - 3. Let d(r) = -8*r**2 + 42 - 43 + 6*r - 4*r + 7*r**2 - 8*r**2. Give 7*d(k) - 3*x(k).
-9*k**2 - k + 2
Let x(b) = -2*b**2 + 4*b - 5. Let k(a) = 6*a**2 - 11*a + 14. Suppose 5*g + 196 = 181. Let t(v) = 2*v**3 + 5*v**2 - v. Let f be t(g). What is f*k(c) - 17*x(c)?
-2*c**2 - 2*c + 1
Let w(v) = -2 - 7*v**3 + 4*v - 11*v - 3*v**3 + 7*v**2 + 4*v**3 - 5. Suppose -4*u = 14*u + 54. Let m(g) = g**3 - g**2 + g + 1. Give u*w(t) - 21*m(t).
-3*t**3
Let f(g) = -3*g**2 + 143*g - 81. Let t(q) = -q**2 + q - 16. Give -f(u) + 5*t(u).
-2*u**2 - 138*u + 1
Let w(m) = 218*m + 124. Let q(x) = x + 14. Determine -8*q(o) + w(o).
210*o + 12
Let y(j) = 774*j**2 + 9*j - 141. Let g(x) = -1547*x**2 - 21*x + 280. Let t(d) = -3*g(d) - 7*y(d). Let h(f) = -21*f**2 + 4. Give 147*h(p) - 4*t(p).
21*p**2
Let z(k) = -k 