t**4/8 - 144*t**2 + 192*t. Let f(g) be the first derivative of x(g). Determine -8*f(w) - 3*q(w).
3*w**2
Let f(k) be the first derivative of -4*k**2 + 651. Let z(b) = 47*b - 18*b - 14*b - 22*b. Let t be ((-21)/(-6))/((-2)/4). Determine t*z(v) + 6*f(v).
v
Let s(g) = 3*g**2 - 3*g + 9. Let u(k) = -k**2 + 2*k - 4. Let w(b) = -70*b + 1685. Let p be w(24). Let j be (12/(-15))/(6/(-15)). Determine j*s(c) + p*u(c).
c**2 + 4*c - 2
Let v(d) = -2*d**3 - d**2 + d + 2. Let a(i) = 3*i**2 - 23*i + 21. Let x be a(7). Let m(p) = 6*p**3 + 3*p**2 - 3*p - 7. Give x*v(g) + 2*m(g).
-2*g**3 - g**2 + g
Let b(t) = 83*t. Let u(z) = -82*z + 3. Determine 5*b(k) + 6*u(k).
-77*k + 18
Let l(g) = -79*g - 5. Let s(u) = 159*u + 8. Give -5*l(q) - 3*s(q).
-82*q + 1
Let r = -2 - -3. Let q(y) be the first derivative of -3*y**2/2 + y - 14. Let d(h) = 4*h - 1. Let n(x) = d(x) + q(x). Let c(w) = 2*w. What is r*c(o) - 6*n(o)?
-4*o
Let o = 7085 - 3906. Let b(j) = -3*j + j + o*j**2 - 3171*j**2 + 2. Let y(d) = -d**2 - d + 1. Give -b(n) + 2*y(n).
-10*n**2
Let h(c) = -4*c**3 - 2*c**2 + 2*c. Let w(l) be the first derivative of 1/4*l**4 + 0*l + 1/3*l**3 - 1/2*l**2 - 25. What is -h(m) - 2*w(m)?
2*m**3
Let p(r) = -748 + 355 + 393 - 9*r. Let n(v) = v**2 - 4*v + 1. Let j be n(5). Let u(b) = 4*b. Calculate j*p(g) + 14*u(g).
2*g
Let h(g) = -1. Let t(c) = 5*c - 2. Let u(j) = -21*j + 2. Let y(d) = 14*d - 1. Let n(m) = -5*u(m) - 7*y(m). Let i(a) = 3*n(a) - 4*t(a). Give -h(o) + 3*i(o).
3*o - 2
Let n(m) = m - 1. Let p(h) = -7*h + 12. Let r(c) = 16*c - 24. Let t(a) = -7*p(a) - 4*r(a). What is 60*n(i) + 5*t(i)?
-15*i
Let p be -3 - (1 - -1) - (-7 + 3). Let i(c) = c - 5. Let o(f) be the second derivative of -f**2/2 - 4*f. What is p*i(b) + 4*o(b)?
-b + 1
Let g(p) = -9*p**2 - p - 2. Let o(w) = -62*w**2 + 24*w + 23. Determine 14*g(x) - 2*o(x).
-2*x**2 - 62*x - 74
Let d(z) = -z**3 - z**2 + 2*z - 1. Let a(x) = 6*x**3 + 11*x**2 - 22*x + 64. Calculate -a(i) - 11*d(i).
5*i**3 - 53
Suppose -41*k + 55 = -36*k. Let b be 156/6 - (1*2)/(-2). Let w(f) = -9*f - 27 + 2*f + b. Let g(a) = 36*a. Calculate k*w(i) + 2*g(i).
-5*i
Let t(q) = 4*q - 1. Let a(h) = 301*h + 3. What is a(f) + 2*t(f)?
309*f + 1
Let c = 0 - -3. Let w(n) = 7*n + 9. Suppose 66*m - 12*m - 21*m = -165. Let v(d) = 4*d + 5. Determine c*w(s) + m*v(s).
s + 2
Let k(z) = 19*z**2 - 38*z - 177. Let i(s) = -30*s**2 + 58*s + 265. What is 5*i(o) + 8*k(o)?
2*o**2 - 14*o - 91
Let u(x) = x + 1. Let y(t) = 3*t + 1 + 3 - 2. Let g be (1/2)/((-12)/8064). Let f = -333 - g. Determine f*y(z) - 6*u(z).
3*z
Let v(l) = 11*l**3 - 3*l**2 + 7*l. Let h(k) be the third derivative of k**6/24 - k**5/60 + k**4/8 - 659*k**2 + 4*k. Let y = -7 + 0. Give y*h(t) + 3*v(t).
-2*t**3 - 2*t**2
Let s(i) = 6*i**2 - i - 25. Let k(n) = 9*n**2 - n - 24. What is -3*k(w) + 4*s(w)?
-3*w**2 - w - 28
Let h = 2 + -3. Let c be -567*((-4)/(-50) - (-69)/75). Let x = 564 + c. Let p(l) = l**2 - 4*l - 3. Let f(w) = -w**2 + w + 1. What is h*p(j) + x*f(j)?
2*j**2 + j
Let u(g) = -6*g**3 - 20*g**2 + 9*g - 6. Let a(r) = 6*r**3 - r**2 + r - 1. Calculate -6*a(d) + u(d).
-42*d**3 - 14*d**2 + 3*d
Let q(p) = -1761*p - 8. Let o(y) = 589*y + 3. Determine 8*o(n) + 3*q(n).
-571*n
Let l(j) = -42*j**3 - 41*j + 14. Let y(x) = -715*x**3 - 695*x + 245. What is 35*l(f) - 2*y(f)?
-40*f**3 - 45*f
Let t(j) = -j**3 - j + 1. Let c(q) = 15*q**3 + 2*q - 2. Let n(o) = -o**3 + 5*o**2 + o - 12. Let x be n(2). Give x*c(m) + 4*t(m).
26*m**3
Let x(a) = 6*a + 5. Let k(n) = 10207 - 20393 + 10200 + 17*n. Give -4*k(w) + 11*x(w).
-2*w - 1
Let h(k) = -1194 - 74*k**2 + 71*k**2 - k + 1191. Let q(p) be the third derivative of p**5/60 - p**4/24 - p**3/6 + p**2. Calculate -h(m) + 2*q(m).
5*m**2 - m + 1
Suppose 10 - 1 = -13*q - 4. Let n(v) = -v. Let g(z) = -13. Determine q*g(m) + 3*n(m).
-3*m + 13
Let w(f) = -4*f**2 + 9*f - 8. Let l(t) be the first derivative of -5*t**2 + 9*t + 116 + 5/3*t**3. Determine -6*l(u) - 7*w(u).
-2*u**2 - 3*u + 2
Let b(o) = -o + 4. Let y(a) = a - 12. Let q be y(6). Let n = 12 + q. Let f(i) = -3*i + 12. Determine n*f(s) - 17*b(s).
-s + 4
Let a be 5 - (-6 + (6 - 0)). Let c(j) = 2*j**2 + 5*j - a*j**2 - 16*j**2. Let l(f) = 9*f**2 - 2*f. Determine 2*c(v) + 5*l(v).
7*v**2
Let d(g) = 3*g**2 + 3*g + 3. Let y(j) = -13*j**2 - 12*j - 11. Let k(m) = 4*d(m) + y(m). Let w(c) = -27*c**2 - 4. What is -4*k(r) - w(r)?
31*r**2
Suppose -10*m - 13 = 30 - 3. Let b(i) = -i**3 + 1. Let v(q) = -34*q**3 - 4. Calculate m*b(p) - v(p).
38*p**3
Suppose 0 = 12*a + 1 + 11. Let n(v) be the second derivative of 7*v + 1/2*v**2 + 0 + 1/12*v**4 + 1/6*v**3. Let d(z) = 6*z**2 + 6*z + 3. What is a*d(b) + 4*n(b)?
-2*b**2 - 2*b + 1
Let s(n) = -13*n**3 - 2*n - 2. Let z(l) = -50*l**3 - 10*l - 9. Let b(w) = 9*s(w) - 2*z(w). Let c(y) = -1581*y**3 + 187*y. Determine -374*b(p) + 4*c(p).
34*p**3
Let s(u) = -4 - 23 - 8 - u + 7 + 24. Let y(p) = 0*p + 3 + p + 2. Calculate 3*s(g) + 2*y(g).
-g - 2
Let m(l) = 2674*l + 38. Let k(z) = 5*z - 4. What is -9*k(i) - m(i)?
-2719*i - 2
Suppose 55*r - 5658 = -27*r. Let f(q) = 966*q**3 - 69*q + 69. Let l(w) = -69*w**3 + 5*w - 5. Calculate r*l(o) + 5*f(o).
69*o**3
Let c(f) = f**2 - f + 1. Let s(a) = 2*a**3 - 151*a**2 + 506*a - 162. Let p be s(72). Let i(r) = 36*r**2 - 18*r + 18. What is p*c(b) + i(b)?
18*b**2
Let q(x) = x**2 - 1. Let p(o) = 141*o**3 - 2*o**2 - 4*o + 1. Give -p(f) - 2*q(f).
-141*f**3 + 4*f + 1
Let f(t) = -158*t + 26 + 289*t - 23 - 3*t**2 - 158*t. Let l(n) = 4*n**2 + 40*n - 4. What is 7*f(x) + 5*l(x)?
-x**2 + 11*x + 1
Let l(j) = -4*j**2 + j - 2. Suppose 0 = 3*w - 5*c - 122, w - 27 = -3*c + 37. Let m(k) = 5 - w*k**2 + 26*k**2 + 0 - 2*k + 30*k**2. Give -5*l(v) - 2*m(v).
6*v**2 - v
Let h(s) be the third derivative of -7*s**4/8 + 14*s**3/3 + 9*s**2. Let v(w) = 4*w**2 + 66*w + 4. Let k be v(-16). Let u(m) = -m + 1. Give k*u(n) + h(n).
7*n
Let n(o) = -4*o - 10. Let l be -4 - (-11)/(44/(-40)). Let k(h) be the second derivative of -h**3/6 - 3*h**2/2 - 95*h. Determine l*k(j) + 4*n(j).
-2*j + 2
Let b(l) = 19*l**2. Let y(v) = 153*v**2. Suppose 0 = -326*s + 822*s - 992. Give s*y(c) - 17*b(c).
-17*c**2
Let p(n) = -352*n + 4642. Let z(y) = -13*y + 172. Calculate -2*p(k) + 55*z(k).
-11*k + 176
Let z(c) be the first derivative of c**2/2 + 3*c + 1930. Let l(p) = p. Calculate -6*l(q) + z(q).
-5*q + 3
Let n(w) = 2*w**3 + 7*w**2 + 2*w + 2. Let h(p) = 6171*p**3 + 36*p**2 - 3 - 6161*p**3 + 9*p + 14. What is -2*h(y) + 11*n(y)?
2*y**3 + 5*y**2 + 4*y
Let w(t) = -746*t**3 + 6*t**2 + 77*t + 6. Let j(h) = 746*h**3 - 7*h**2 - 90*h - 7. Determine 6*j(n) + 7*w(n).
-746*n**3 - n
Let i(j) = -2*j + 1418 - 2873 + 1450. Let t(a) be the second derivative of a**2/2 + 3*a. Give -3*i(s) - 15*t(s).
6*s
Let j(v) = 2*v**3 - 6*v**2 + 2*v - 3. Let o(d) = -30*d**3 + 58*d**3 - d**2 - 27*d**3 - 1 + 0*d**2. Let q be 6/(-10)*(8 - 3). What is q*o(i) + j(i)?
-i**3 - 3*i**2 + 2*i
Let i(g) = 2*g + 58. Let x(c) = 1. Let w = -33129 + 33127. Calculate w*x(u) + i(u).
2*u + 56
Let y(z) = -143166*z**3 - 4280*z**2 + 1070*z. Let k(m) = -401*m**3 - 12*m**2 + 3*m. Calculate 1070*k(w) - 3*y(w).
428*w**3
Let k = -126 + 134. Let m(x) = -x**2 - x + k*x - 16*x + 5*x. Let j(l) = l**2 + 3*l. Let w be 4/22 - (-84)/22. Give w*j(i) + 3*m(i).
i**2
Let q(n) = -40. Let l(g) = g - 1. Suppose 0 = 19*z + 44 - 49 + 24. Give z*q(i) + 40*l(i).
40*i
Let p(b) = -21*b**3 + 51*b**2 + 17*b + 149. Let k(l) = 7*l**3 - 18*l**2 - 6*l - 50. Give 17*k(x) + 6*p(x).
-7*x**3 + 44
Let h(k) = k**3 + 4*k**2 + k + 2. Let r(m) = -8*m**3 - 177*m**2 - 10*m - 19. Calculate -18*h(n) - 2*r(n).
-2*n**3 + 282*n**2 + 2*n + 2
Let q(s) = -s + 1. Let y(d) = 3*d + 4. Suppose -3*p = 2*h + 4, -2*p + 3*h + 35 = 16. What is p*q(w) - y(w)?
-5*w - 2
Let h(y) = -15*y**2 - 73*y + 1. Let c(g) = -36*g**2 - 146*g + 3. Give -3*c(j) + 7*h(j).
3*j**2 - 73*j - 2
Let l(o) = 3*o**3 - o**2 + 3*o - 3. Let q(u) be the third derivative of -u**6/40 + u**5/30 - u**4/12 + u**3/3 - 63*u**2. Calculate -2*l(r) - 3*q(r).
3*r**3 - 4*r**2
Let p(h) = -1213*h**2 - 4742*h. Let j(t) = 428*t**2 + 1581*t. Determine 17*j(f) + 6*p(f).
-2*f**2 - 1575*f
Let k(y) = 0*y**2 + 2*y**2 + 10 - y - 17. Let c(n) = -2*n**2 + n**2 + 1494 - 1497 + 2*n**2. Give 14*c(v) - 6*k(v).
2*v**2 + 6*v
Let a(b) = 43 - 4*b**2 - 38 - 3*b**2. Let k be (-4)/2*62 + 1. Let z = k - -117. Let w(j) = -3*j**2 + 2. 