- 1
Let c(r) = r - 3. Suppose -110 = 19*t - 21*t - 8*t. Let p(y) = 3*y - 9. Determine t*c(k) - 4*p(k).
-k + 3
Let p(x) = 7*x + 6*x - 265*x - 104*x - 81*x. Let z(g) = -23*g. Give 6*p(b) - 115*z(b).
23*b
Suppose -14608 = 591*t + 737*t. Let u(z) = 5*z**2 - 5 - z + 9*z - 1. Let q(k) = 9*k**2 + 15*k - 11. Determine t*u(p) + 6*q(p).
-p**2 + 2*p
Let w(g) = 32*g**2 + 4*g + 202. Let p(q) = 22*q**2 + 3*q + 135. What is -7*p(o) + 5*w(o)?
6*o**2 - o + 65
Suppose -4 + 11 = q. Let b(j) = -8*j + 4*j + 0*j + 3. Let c(u) = -9*u + 7. Let a(f) = f**3 - 18*f**2 - f + 15. Let d be a(18). Give d*c(s) + q*b(s).
-s
Let f(r) = 4*r**2. Suppose -n - 3*q - 47 = -5*q, 2*q + 247 = -5*n. Let b = 15 - n. Let d = b + -58. Let a(z) = -z**2. Calculate d*a(y) + 2*f(y).
2*y**2
Let d(n) = -2*n**3 + 2*n**2 - 3*n + 4. Let o(j) be the second derivative of -j**5/20 + j**4/4 - 2*j**3/3 + 5*j**2/2 + 4*j + 428. Calculate 4*d(r) - 3*o(r).
-5*r**3 - r**2 + 1
Let i(j) = 6902*j + 5. Let b(w) = -6937*w - 6. Determine 5*b(z) + 6*i(z).
6727*z
Let l(j) = 5*j**2 + j - 4. Let p(d) = 34*d**2 + 5*d - 36. Give -18*l(z) + 2*p(z).
-22*z**2 - 8*z
Let l(k) = -k**2 - 1. Let r(q) = 6*q - 17 - 34 - 4*q. Let f be r(25). Let w(z) = 10*z - 19*z + 10*z. Calculate f*l(h) + 3*w(h).
h**2 + 3*h + 1
Let l(x) = -47*x + 51. Let u(m) = -m - 13. Give -l(v) - 2*u(v).
49*v - 25
Let j be ((-36)/(-3) - (-7 + 20)) + 6/(-2). Let x(p) = 6*p + 2. Let d(m) = 5*m + 2 + 2 - 2. Determine j*x(r) + 5*d(r).
r + 2
Let z(h) = 2*h - 790. Let u(v) = -4*v + 1560. Calculate -6*u(y) - 11*z(y).
2*y - 670
Let b(q) = -q + 4. Let w be (2/4)/((-1)/(-14)). Let y(t) be the second derivative of t - 1/6*t**3 - 30 + 3/2*t**2. Give w*y(j) - 5*b(j).
-2*j + 1
Let m(s) = -23*s**2 - 20*s + 15884. Let p(g) = -8*g**2 - 7*g + 5295. Give 6*m(j) - 17*p(j).
-2*j**2 - j + 5289
Let b(m) = 319*m - 11170. Let c be b(35). Let y(h) = 3*h**3 - 5*h**2 - 7*h - 11. Let o(n) = 4*n**3 - 7*n**2 - 10*n - 16. What is c*o(x) + 7*y(x)?
x**3 + x + 3
Let n(p) = 183*p + 41. Let i(f) = 183*f + 34. Calculate -6*i(z) + 5*n(z).
-183*z + 1
Let a(c) be the first derivative of -4*c - 3. Let p(z) = 1. Let h(i) = 3*a(i) + 14*p(i). Suppose 26 = 22*g + 70. Let s(y) = 2*y - 6. What is g*s(k) - 6*h(k)?
-4*k
Let g(k) be the first derivative of -15*k**2 + k + 2752. Let m(j) = 29*j. What is 2*g(b) + 3*m(b)?
27*b + 2
Suppose -m = 20*m - 21. Let f be -9 - -5 - (-2 - m*8). Let o(u) = 4*u + 2. Let j(z) = -13*z - 7. Give f*j(n) + 21*o(n).
6*n
Let g(b) = 22*b - 1. Let u(t) = 2500*t - 7. Calculate -5*g(m) + u(m).
2390*m - 2
Let u(w) = -2*w**2 + 1104*w - 5. Let b(n) = 2*n**2 - 1099*n + 4. Determine 8*b(k) + 7*u(k).
2*k**2 - 1064*k - 3
Let r(b) = 10*b**2 - 60*b + 60. Let x(w) = w - 1. Suppose -198*a - 178 - 20 = 0. Give a*r(o) - 60*x(o).
-10*o**2
Let s(u) = -14*u + 1384. Let m(f) = 3*f - 275. Determine 16*m(d) + 3*s(d).
6*d - 248
Suppose 0 = -23*v + 2*v + 147. Suppose -3*j = i + v, -6*i + 4*j = -2*i - 4. Let l(f) = -12*f**2 - 2*f. Let h(u) = -u**2. Calculate i*l(a) + 8*h(a).
4*a**2 + 2*a
Let h(p) = -p - 1. Suppose 3*n = 2*t + 7, 4*t + 9 + 8 = 3*n. Let y(c) be the second derivative of c**4/6 + c**3 + c**2/2 + 55*c + 2. Determine n*y(o) - 3*h(o).
-2*o**2 - 3*o + 2
Let a(h) = -51067387*h + 46785. Let x(k) = -21833*k + 20. Calculate -4*a(i) + 9357*x(i).
-21833*i
Let z(a) = -247*a + 16. Let r(d) = -864*d + 57. What is -5*r(q) + 18*z(q)?
-126*q + 3
Let y(i) = -2*i**3 - 5*i**2 + 7*i - 86. Let j(l) = 5*l**3 + 14*l**2 - 21*l + 231. Determine -3*j(a) - 8*y(a).
a**3 - 2*a**2 + 7*a - 5
Let o(h) = -8. Let b(y) = 7*y + 18. Let a(t) = -16*t + 9 - 43 - 31 + 9 - 3*t. Let l(w) = 3*a(w) + 8*b(w). Determine 2*l(i) - 7*o(i).
-2*i + 8
Let v(b) = 74*b + 36122 + 76*b - 36087. Let d(a) = -25*a - 6. Calculate 35*d(s) + 6*v(s).
25*s
Let l(i) = -9*i**2 + 43*i + 87. Let w(f) = 9*f**2 - 37*f - 87. What is 6*l(x) + 7*w(x)?
9*x**2 - x - 87
Let t(v) = -3*v**2 + 4*v + 2. Suppose -6*c - 57 = -195. Let u = 30 - c. Let n be u/(21/(-27))*-1. Let m(y) = -y**2 + 2*y + 1. What is n*m(o) - 4*t(o)?
3*o**2 + 2*o + 1
Let z(u) = -3*u - 3. Let t = -13 + 10. Let i(s) = -24*s + 5*s - 75 + 79 + 9*s + 13*s. Calculate t*i(k) - 4*z(k).
3*k
Let x(l) = -l**3 - l**2 + l + 1. Let c(u) = -6*u**3 - 5*u**2 + 25*u + 3. Suppose 7*q - 5*g - 11 = 11, 5*q - 14 = 3*g. Determine q*c(p) - 5*x(p).
-p**3 + 20*p - 2
Let k(v) = -2*v**3 + 6*v**2 + 18*v - 35. Let f(p) = 2*p - 4. Let n(y) = -6*f(y) + k(y). Let s(j) = 4*j**3 - 11*j**2 - 11*j + 21. Determine -11*n(x) - 6*s(x).
-2*x**3 - 5
Let z(q) = -2*q + 5. Let d(y) = 7*y + 144. Let n(m) = 20*m + 407. Let i(v) = -17*d(v) + 6*n(v). Determine -5*i(x) - 6*z(x).
7*x
Let a(r) = -35*r - 2. Suppose 8 = 32*x + 72. Let h(i) = 35*i + 3. What is x*h(y) - 3*a(y)?
35*y
Let o(h) = h + 1. Let i(n) = 4*n - 12. Let p(j) = -23*j + 95. Let w be p(4). Calculate w*o(m) - i(m).
-m + 15
Let l(f) = 2*f**2 - 2. Let d(a) = -6*a**3 + a**2 - 8. Let x be d(2). Let z = 55 + x. Let r(c) = -1. Give z*r(o) - l(o).
-2*o**2 - 1
Let o(q) = -1. Let l be 4/14 + -36*(-9)/(-252). Let c(p) = -p - 3. Determine l*c(w) + 2*o(w).
w + 1
Suppose -5*s = 3*t, 2*t = 4*t + 4*s + 2. Let g(x) = 4*x + 13. Let w(q) = 6*q + 19. Suppose 120 = 3610*l - 3625*l. What is l*g(y) + t*w(y)?
-2*y - 9
Suppose -2*g + 281 = 1299. Let u = -505 - g. Let p(q) = -20*q**3 - 17*q**2 + 11*q. Let h(x) = 7*x**3 + 6*x**2 - 4*x. Determine u*p(c) + 11*h(c).
-3*c**3 - 2*c**2
Let f(p) = -17*p**2 - 5*p. Let g(d) = -16*d**2 - 4*d. Suppose -272 = 22*o + 46*o. Determine o*f(r) + 5*g(r).
-12*r**2
Let t be 3*(-2)/(-4)*2. Let h(y) = 2*y + 1. Let n be (-2)/(-3)*(-27)/(-6). Let o(g) = -n*g - 17 + 3*g - 3*g + 16. Give t*o(r) + 4*h(r).
-r + 1
Let a(o) = -2*o**2 + 185*o - 452. Let w(r) = -3*r**2 + 231*r - 452. What is -5*a(g) + 4*w(g)?
-2*g**2 - g + 452
Let k(g) = -g**2 - 8*g + 3. Let x(n) = -82440*n**2 - 791424*n + 296784. Determine -98928*k(o) + x(o).
16488*o**2
Let y = 5562 + -5568. Let t(i) = -i**2 - 7*i - 5. Let u(k) = -2*k**2 - 20*k - 14. Calculate y*u(f) + 17*t(f).
-5*f**2 + f - 1
Let o(s) be the third derivative of -19*s**5/60 - 7*s**4/24 - 5*s**3/6 - s**2 - 6*s + 20. Let b(n) = n + 1. What is 5*b(w) + o(w)?
-19*w**2 - 2*w
Let w(y) = 24*y**2 + 3. Let b(x) = 111 - 43 - x**2 - 36 + 0*x**2 - 31. What is 4*b(v) - w(v)?
-28*v**2 + 1
Let d(x) = 708*x**2 - 8*x - 20. Let c(u) = 1416*u**2 - 14*u - 49. Give -2*c(i) + 5*d(i).
708*i**2 - 12*i - 2
Let v(l) = 4*l**2 + 2 + 71*l + 73*l - 142*l + 3*l**2 + 5. Let p(x) = 8*x**2 + 2*x + 8. Calculate -5*p(w) + 6*v(w).
2*w**2 + 2*w + 2
Let k(f) = -f**3 - f**2 + f. Suppose -2*h = 5*a + 361 + 50, -h = -2. Let c = a + 82. Let d(j) = -3*j**2 + 4*j. What is c*d(b) + 4*k(b)?
-4*b**3 - b**2
Let w(z) = -12*z**2 + 43*z + 17. Let f(s) = -11*s**2 + 42*s + 15. Calculate 7*f(b) - 6*w(b).
-5*b**2 + 36*b + 3
Let z(k) be the first derivative of k + 21. Let r(f) = -5*f + 15. Suppose 0 = -154*w + 144*w + 150. Calculate w*z(o) - r(o).
5*o
Let h(d) = 2*d + 14. Let l = 44 + -5. Let p = 44 - l. Suppose p*i - i + 56 = 0. Let a(r) = r + 5. Determine i*a(j) + 5*h(j).
-4*j
Suppose 0 = 1027*h - 7048 - 471 - 9940. Let d(t) = 5*t + 6. Let x(n) be the third derivative of 5*n**4/8 + 17*n**3/6 + n**2. What is h*d(w) - 6*x(w)?
-5*w
Let m(l) = -37*l**2 - 9*l + 9. Let j(f) be the third derivative of 1/12*f**4 + 0 - 11*f**2 + 0*f - 1/3*f**3 + 3/20*f**5. Give -9*j(c) - 2*m(c).
-7*c**2
Let x(v) = -v**2 + v. Let r = -591 - -587. Let a be 2*((-30)/(-4))/3. Let h = a + r. Let b(p) = 3*p**2 + 2*p - 2. Give h*b(c) + x(c).
2*c**2 + 3*c - 2
Let j(s) = 4*s**2 + s + 336 - 119 - 2*s**3 - 214 - 5*s. Let d(a) = -a**3 + a**2 - a - 1. What is 4*d(g) - j(g)?
-2*g**3 - 7
Suppose 0 = 329*c - 68 - 261. Let s(t) = -2*t**2 + 3 - 2*t + 3*t**2 + 0*t. Let k(q) = q - 1. Determine c*s(v) + 3*k(v).
v**2 + v
Suppose 429 = -6*l + 9*l. Let w(r) = 144*r**2 + 3*r - r - l*r**2 + 4*r - 5*r. Let v(y) = -3*y**3 - 9*y**2 - 9*y. Determine 2*v(j) + 18*w(j).
-6*j**3
Let t(v) = -12*v**2. Let p(j) be the third derivative of -j**5/2 - 5*j**2 + 113. Suppose 2*x + 7 + 7 = -5*a, -3*x = 3*a + 30. Determine x*t(q) + 5*p(q).
-6*q**2
Let u(x) = -511*x + 21. Let c(a) = -3. Calculate -6*c(i) - u(i).
511*i - 3
Let c(l) = -7791*l**3 - 3*l**2 - 24*l - 3. Let s(i) = 1464706*i**3 + 565*i**2 + 4520*i + 565. Determine 1130*c(n) + 6*s(n).
-15594*n**3
Suppose -7*a + 35 = 0, 0*