c(i) + k(i).
2*i**3 - 3*i**2
Let c(k) = -13*k - 915. Let w(p) = 5*p + 458. Determine -3*c(b) - 7*w(b).
4*b - 461
Let n(a) = -8*a - 8. Let v(b) = 5*b + 31. Let w(o) = 28*o + 170. Let t(f) = 11*v(f) - 2*w(f). Calculate n(h) + 8*t(h).
-16*h
Suppose 4*w = -12, -5*i + 2*w + 7 = -2*w. Let x(z) be the third derivative of -z**5/60 - 8970*z**2 - 2. Let l(p) = 5*p**2 - 4*p + 4*p. What is i*l(y) - 6*x(y)?
y**2
Let r(h) = -40*h - 46*h + 124*h + 8 - 40*h. Let a(w) = 4*w - 15. Give -2*a(u) - 5*r(u).
2*u - 10
Let n(o) = -o + 3. Let u(d) = -d. Suppose 19 - 40 = t. Let a be 4/(-7) - 54/t. Suppose -4*p + 15 = k, 4*k + a*p - 7 = 3*k. What is k*n(x) + 3*u(x)?
-2*x - 3
Let h(y) = 4*y**3 + 216*y**2 - 2 - y + 216*y**2 + 216*y**2 + 217*y**2 - 857*y**2. Let v(b) = -b**3 - b**2. Calculate -h(w) - 5*v(w).
w**3 - 3*w**2 + w + 2
Let p = 158 - 154. Let x(k) = -79*k + 76*k - 3 + p*k**2 + 4. Let y(f) = 9*f**2 - 7*f + 2. Give -14*x(u) + 6*y(u).
-2*u**2 - 2
Let v(b) = -9*b**3 + 7*b**2 + 34*b + 16. Let q(c) = -20*c**3 + 14*c**2 + 70*c + 40. Calculate 2*q(x) - 5*v(x).
5*x**3 - 7*x**2 - 30*x
Let a(d) = -70*d**2 + 84*d. Let z(r) = -5*r**2 - r. Let k(p) = 8*p**2 + p. Let f(n) = -2*k(n) - 3*z(n). Give -a(c) + 84*f(c).
-14*c**2
Let s(g) = 39*g + 2. Let d(o) = -8774*o - 451. Let h = 4674 - 4223. Calculate h*s(i) + 2*d(i).
41*i
Let z(d) be the second derivative of -d**4/12 + d**3/6 - d**2/2 + 76*d + 5. Let b(p) = 4*p**2 - 37*p + 6. What is -b(i) - 6*z(i)?
2*i**2 + 31*i
Let q(f) = -f + 406. Let w(u) = -u + 18. Give -q(h) + 10*w(h).
-9*h - 226
Let g(x) = -2*x**2 - 3*x + 2. Let d(l) = -8*l**2 - 13*l + 9. Suppose -9*i + 3*i + 2*u - 12 = 0, -i + 5*u - 2 = 0. Determine i*d(w) + 9*g(w).
-2*w**2 - w
Let g(d) = 47*d**2 + 3. Let w(u) = 2*u**3 - 33*u**2 - 22*u + 88. Let z be w(17). Let k(i) = 5170*i**2 + 329. What is z*k(f) - 329*g(f)?
47*f**2
Let k(t) = 17 + 27 + 2 + 21 - 82 - t**2. Let l(z) = z**2 + 16. Calculate 4*k(r) + 3*l(r).
-r**2 - 12
Let s be -3*1/3 - (-1 - 7). Let o(f) = 4*f**2 - 8*f - 5. Let n be o(4). Let k(b) = 20 + n - 2*b - 60. Let a(z) = -z - 7. Calculate s*a(w) - 4*k(w).
w + 3
Let j(o) = 50*o**2 - 14*o - 14. Let q(u) be the third derivative of -u**5/6 + u**4/8 + u**3/2 + 3974*u**2. Determine -3*j(n) - 14*q(n).
-10*n**2
Let f(k) = -407*k**2 + 143*k. Suppose 2*c = -c - 429. Let n(j) be the third derivative of -17*j**5/60 + j**4/4 - 2223*j**2 + 2*j + 1. What is c*n(d) + 6*f(d)?
-11*d**2
Suppose -12*o - 24 + 72 = 0. Let i(g) = -268 - o*g + 92 + 87 + 90. Let p(h) = h + 1. What is -i(x) + p(x)?
5*x
Let a(k) = 3*k**2 + 7*k - 5. Suppose 18*v - 1 = 7*v - 12. Let f(r) = -r + 1. What is v*a(q) - 4*f(q)?
-3*q**2 - 3*q + 1
Let j(h) = -h**3 + 9*h - 9. Let d(y) = -y + 1. Let k(r) = -r**3 + 12*r**2 - 32*r - 20. Let b be k(7). Determine b*j(x) + 6*d(x).
-x**3 + 3*x - 3
Let t(m) = 5*m**3 - 7*m**2 + 19. Let f(d) = -4*d**3 + d**3 + 3*d**2 - 9 + d**3. Suppose 0 = 4*g - u - 38 + 42, 3*g = -5*u - 72. What is g*t(r) - 9*f(r)?
-2*r**3 + r**2 + 5
Let c = -1564 + 1559. Let b(w) = 6*w**2 - 3*w - 5. Let q(h) = 9*h**2 - 5*h - 8. What is c*q(t) + 8*b(t)?
3*t**2 + t
Let l(s) = 3*s**2 - 26*s - 71. Let g(z) = -9*z**2 + 72*z + 212. Determine -4*g(a) - 11*l(a).
3*a**2 - 2*a - 67
Let g(c) = -52*c + 12 + 150*c - 62*c - 48*c + 5. Let r(n) = -8*n + 11. Give 5*g(s) - 8*r(s).
4*s - 3
Let n(p) be the third derivative of 11*p**5/60 + p**4/3 + p**3/2 - p**2 - 1730. Let f(l) = 6*l**2 + 4*l + 2. What is 7*f(d) - 4*n(d)?
-2*d**2 - 4*d + 2
Let q(w) = -125*w - 427. Let r(p) = 354*p + 1281. Give -17*q(y) - 6*r(y).
y - 427
Let l(p) = 26*p + 11. Let w(m) = 8*m + 13. Let a(u) = -5*u - 9. Let o(d) = -7*a(d) - 5*w(d). Suppose -2*n + 55 - 31 = 4*n. Determine n*l(t) + 22*o(t).
-6*t
Let q(g) = -8*g + 8. Let y(o) = 12*o - 12. Suppose -13*w - 4 = -14*w, -4*a + 52 = 5*w. What is a*q(u) + 5*y(u)?
-4*u + 4
Let r(t) = 4*t + 16. Let n(d) = 3*d + 3 - 2*d - 1 + 2. Let h = -97998 + 97989. Determine h*n(a) + 2*r(a).
-a - 4
Let y(h) = -15*h**2 - 2084*h - 8. Let x(m) = 41*m**2 + 6255*m + 22. Give -4*x(f) - 11*y(f).
f**2 - 2096*f
Let v(b) = -b**2 - 5*b - 2. Let r(o) = 5511*o**2 + 10*o + 4. Determine -r(x) - 2*v(x).
-5509*x**2
Let a(p) = 43*p**3 + 4*p + 4. Let j(y) = -1504*y**3 - 141*y - 141. Let l be (-421)/(-1)*(-10)/30 - (-6)/(-9). Calculate l*a(h) - 4*j(h).
-47*h**3
Let v be 2 - 20/14 - 250/70. Let b = 34 + -30. Let i(u) = -u**2 - 5. Let l(p) = -p**2 - p. Let d(q) = q - 6. Let r(k) = d(k) + l(k). Determine b*i(n) + v*r(n).
-n**2 - 2
Let w(o) = -6361*o**2 - 40*o + 5. Let g(c) = 3180*c**2 + 16*c - 2. What is 5*g(d) + 2*w(d)?
3178*d**2
Let t(n) be the third derivative of -11*n**4/24 - n**3 - n**2 - 112*n. Let z(s) = -100*s - 55. Let c = -185 - -130. Determine c*t(k) + 6*z(k).
5*k
Suppose -3*y = 2*z - 109, -3*z + 29 + 177 = -4*y. Let w(b) = 30 + b + 31 - z. Let u(o) = 3*o + 2. Suppose 7*x + 3*x + 10 = 0. Calculate x*u(a) + w(a).
-2*a - 3
Let k(s) = 1105*s - 2. Let v(m) = -1110*m + 1. What is -2*k(b) - 3*v(b)?
1120*b + 1
Let q(d) = d + 5. Let p(s) = 7 - 62*s + 19*s - 3 + 21*s + 23*s. Let k = 8 + -6. Determine k*q(t) - 3*p(t).
-t - 2
Let l(q) = -13*q**2 - 16*q - 136. Let m(u) = 4*u**2 + 5*u + 47. Calculate -2*l(s) - 7*m(s).
-2*s**2 - 3*s - 57
Let s(t) = 307*t + 1 - 40*t - 145*t - 131*t - 1. Let f(u) = -5*u - u + 19*u. Let v be 21/2*4/6. Give v*s(k) + 5*f(k).
2*k
Suppose 69*t - 42*t + 81 = 0. Let i(k) be the first derivative of -k**4/4 - 1. Let w(q) = -2*q**3 - q**2 + 1. Calculate t*i(j) + w(j).
j**3 - j**2 + 1
Suppose 4*a + 28 = 0, x = -16*a + 12*a - 23. Let q(d) = 315*d**3 - 36*d**2 - 36*d. Let o(n) = -45*n**3 + 5*n**2 + 5*n. Calculate x*q(i) + 36*o(i).
-45*i**3
Let a(s) = s**2 + 2. Let t(z) = -5 - 3*z**3 + 4*z**3 + 4. Let u be (-338 - -339)*-1*2*1. Determine u*a(m) - 2*t(m).
-2*m**3 - 2*m**2 - 2
Let g(a) = -5*a. Let r(p) = 11*p - 1. Suppose 0 = -h - 59 + 37. Let k be h/(-14) - (-18)/42. Calculate k*r(b) + 5*g(b).
-3*b - 2
Let d(o) = o - 1. Let r(b) = 2*b - 40. Let q(a) = -4*a**2 + 150*a + 401. Let s be q(40). Determine s*r(p) - 3*d(p).
-p - 37
Let w(p) = 4*p + 7. Suppose -1 = 5*z + 2*u + 25, 4*z + 40 = -4*u. Let r(b) = -1. Calculate z*r(a) + w(a).
4*a + 9
Let c(u) = -2 - 6*u - 500*u**2 + 502*u**2 + 5*u. Let i(t) = -6202*t**3 + 3102*t**3 + 3099*t**3 - t + t**2. Suppose 2*l - 3 = -1. What is l*c(w) - 2*i(w)?
2*w**3 + w - 2
Let o(h) = 3*h**2 - 144*h - 85. Let z(d) = -71*d. Calculate o(r) - 2*z(r).
3*r**2 - 2*r - 85
Let y(i) = -11*i + 17. Let v(k) = 5*k - 8. Suppose 26*q - 74 = -22. Give q*y(u) + 5*v(u).
3*u - 6
Let u(b) = 10*b**2 + 2*b + 2. Let m = 11004 - 11006. Let y(g) = -11*g**2 - 3*g - 2. What is m*y(a) - 3*u(a)?
-8*a**2 - 2
Let y(h) = -1886*h**3 - 3*h**2 + 9*h. Let w(i) = 115046*i**3 + 184*i**2 - 552*i. Calculate 3*w(k) + 184*y(k).
-1886*k**3
Let q(b) = -6*b - 113 + 248 - 68 - 69. Suppose -t = -4*t - v, 0 = -2*t + 4*v + 14. Let o = 2 - 6. Let d(x) = -x. Determine o*d(z) + t*q(z).
-2*z - 2
Let h(f) = 10*f**2 - 5*f. Let r = -40 + 36. Let b(s) = 44*s**2 - 4*s - 79*s**2 + 44*s**2. Determine r*h(u) + 5*b(u).
5*u**2
Let f(t) = 2*t + 7. Let o(c) = -5 - 3 + 645*c - 650*c - 12. Give -17*f(q) - 6*o(q).
-4*q + 1
Let o(q) = 5*q**3 - 3*q**2 + 3*q + 14. Let x(g) = 3*g**3 - 2*g**2 + 2*g + 13. Calculate 6*o(b) - 9*x(b).
3*b**3 - 33
Let u(j) = 108*j**2 + 13*j - 34. Let h(c) = 114*c**2 + 20*c - 33. Calculate 2*h(x) - 3*u(x).
-96*x**2 + x + 36
Let w be ((-16)/28)/((-4)/14). Let q = -411 - -416. Let b(g) = -4 - 2*g**2 + 2 - g**2. Let r(p) = 5*p**2 + 5. What is q*b(m) + w*r(m)?
-5*m**2
Let b(p) = -76*p. Let t = -35 + 41. Let i(v) = 10 - 16 + 7*v + t. Determine 3*b(n) + 32*i(n).
-4*n
Let p(d) = 4*d + 3. Suppose -5*m + 21 = -u - 3*u, m + 11 = -3*u. Let x(b) = b - 41 + 21 + 14 + 7. What is m*x(h) - p(h)?
-3*h - 2
Let n(j) = 1980*j - 50. Let a(c) = 494*c - 11. Calculate 9*a(q) - 2*n(q).
486*q + 1
Let p(n) = -4*n**3 + 15*n**2 - 5*n - 94. Let b(h) = -h**3 - 3*h**2 + h + 1. Determine -5*b(i) - p(i).
9*i**3 + 89
Let q(p) = 7063*p + 3. Let w(r) = 16774604*r + 7126. Determine 7126*q(j) - 3*w(j).
7126*j
Let g(r) = -26*r**2 + 2*r + 5. Let b(x) = 2*x**2 - x - 1. Give 4*b(m) + g(m).
-18*m**2 - 2*m + 1
Let p(q) = q**2 - q + 1. Let t(n) = 14*n**3 + n**2 - 5*n + 6. Give -2*p(c) + t(c).
14*c**3 - c**2 - 3*c + 4
Let z(j) = -17*j**2 + 2 - 3618*j - 6 + 3620*j - 12*j**2. Let x(k) = -28*