*k**2 + k + 2
Suppose -4*d = -2*g - 18, 0 = -5*d + 9*d - 5*g - 3. Let t(k) = 5*k**2 - 11*k + 4. Let c(s) = 3*s**2 - 6*s + 2. Determine d*c(w) - 4*t(w).
w**2 + 2*w - 2
Let l(x) = -2*x - 1. Suppose 5*f - 54*f = -196. Let b(s) be the second derivative of s - 1/2*s**3 + 0 - 1/2*s**2. Calculate f*b(z) - 5*l(z).
-2*z + 1
Let c(b) = 405*b + 14. Let y(k) = 202*k + 8. Give -4*c(x) + 7*y(x).
-206*x
Let y(j) = -4*j**3 - 6*j**2 - 2*j - 3. Let g(t) = -11*t - 67*t**2 - 81*t**2 + 117*t**2 - 15 - 21*t**3. Calculate -2*g(k) + 11*y(k).
-2*k**3 - 4*k**2 - 3
Let z = 558 - 556. Let x(p) = p + 1. Let v(a) = -7. Determine z*x(t) + v(t).
2*t - 5
Let b(c) be the third derivative of c**6/40 - c**5/30 + c**4/12 + c**2. Let d(n) = -7*n**2 - 2*n + 6*n - 1 + 2*n**2 + 0*n**2 + 6*n**3. Give -5*b(o) + 2*d(o).
-3*o**3 - 2*o - 2
Let c(t) = 5*t. Let x(b) = 27*b - 155. What is -5*c(i) + x(i)?
2*i - 155
Suppose -771*o + 228 = -828*o. Let z(m) = 6*m + 4. Let t(v) = -v - 1. Let u(i) = 10*t(i) + z(i). Let h(b) = 2*b + 3. Give o*u(k) - 7*h(k).
2*k + 3
Let q(d) = -3*d**2 + 3*d - 3. Let k(c) = -2*c**2 + c. Give k(h) - q(h).
h**2 - 2*h + 3
Let c(j) = -7*j**3 - 9*j**2 + 6. Let f(i) = -8*i**3 - 9*i**2 + 7. Give 7*c(n) - 6*f(n).
-n**3 - 9*n**2
Suppose -81 = -5*v - 26. Let g(m) = 4*m**3 - 3*m**2 + 4*m. Let i(j) = 25*j + 18*j**3 + j**2 - 4*j - 17*j**2 + 3*j**3. Determine v*g(z) - 2*i(z).
2*z**3 - z**2 + 2*z
Let j(d) = -11*d - 55. Let w(z) = 4*z + 19. What is -2*j(v) - 7*w(v)?
-6*v - 23
Let f(u) = 2*u. Let s(v) = -4*v - 1. Calculate -3*f(m) - 2*s(m).
2*m + 2
Let g(m) = -5*m + 1. Let k(d) = 18*d - 3. Let c(r) = -2*r. Let i(w) = -2*c(w) - k(w). Determine -8*g(j) + 3*i(j).
-2*j + 1
Let d(u) = -2*u + 5. Let w be 9 - -1*(-20)/(-5). Suppose 60 = m - w*m. Let x(j) = j - 1. Determine m*x(a) - d(a).
-3*a
Let p(y) = -6*y**2 + 28*y + 14. Let o be p(5). Let z(v) = -5*v**3 + 4*v**2 - 4*v + 5. Let x(j) = j**3 - j**2 + j - 1. What is o*x(c) + z(c)?
-c**3 + 1
Let p(h) = -h + 4 - 33*h**2 + 72*h**2 - 9*h**2 - 29*h**2. Let l(x) = -3*x**2 + 3*x - 12. Determine -3*l(u) - 8*p(u).
u**2 - u + 4
Let j(n) = -22*n - 1 - 1 + 0 + 24*n. Let m(k) = 3*k - 3. Determine 8*j(r) - 5*m(r).
r - 1
Let a(r) = -3*r**2 + 5*r + 5. Let l(x) = 2*x**2 - 3*x - 3. Let s be 1 - (9 - (0 - -1)). Let i(m) = -m - 10. Let u be i(s). What is u*a(f) - 5*l(f)?
-f**2
Let n(t) = -t**2 + 15*t + 1. Suppose 5*k = 7*k + 4. Suppose -50 = 5*b + 2*r + 3*r, 3*b + 62 = 5*r. Let m(w) = -2*w. Determine b*m(j) + k*n(j).
2*j**2 - 2*j - 2
Let d(l) = 12*l**3 - 28*l**2 + 14*l + 8. Let s(c) = 4*c**3 - 10*c**2 + 5*c + 3. Calculate 4*d(a) - 11*s(a).
4*a**3 - 2*a**2 + a - 1
Let c(z) = 7*z**2 + 9*z - 1. Let k(h) = 7*h**2 + 8*h. Let g(b) = 8*b**2 + 9*b. Let s(l) = -4*g(l) + 5*k(l). Calculate -2*c(p) + 5*s(p).
p**2 + 2*p + 2
Let f(m) = m - 1. Let b(j) = -3*j + 15. Let c(g) = g**3 + 7*g**2 + 9*g + 1. Let w be c(-5). Let n be b(w). Let r(q) = 2*q - 3. What is n*f(s) + r(s)?
-s
Let z(x) = x - 1. Suppose -6 = -f + n, f - 18 = -4*f - n. Let i(g) = 5*g + 2*g - g - f. Suppose 17*o - 59 - 9 = 0. Determine o*z(p) - i(p).
-2*p
Let j = -45 + 47. Let t(c) = -4*c + 6*c - 5*c**j + 8*c**2 + 7*c. Let y(s) = 7*s + 4*s**2 - 6*s + 12*s. Determine -7*t(m) + 5*y(m).
-m**2 + 2*m
Let c(f) = -22*f + 4. Let y be -2*(5 + (-30)/20). Let v(t) = 44*t - 7. What is y*c(p) - 4*v(p)?
-22*p
Let a(h) = 2*h**2 - 6. Let v be 64/(-6)*6/(-4). Suppose v*b - 15*b = 2. Let l(x) = 7 + x - 2*x**b + 5*x - 6*x. Give 5*a(d) + 4*l(d).
2*d**2 - 2
Let z(n) = -13*n**2 - 194*n - 6. Let w(v) = 28*v**2 + 389*v + 13. Calculate 6*w(r) + 13*z(r).
-r**2 - 188*r
Let i(y) = 615*y - 21. Let x(p) = 123*p - 4. Calculate -2*i(d) + 11*x(d).
123*d - 2
Let v be ((-24)/(-16))/((-1)/(-2)) - 2. Let y(x) = 4*x**2 + 3*x + 3. Let i(n) = n**2 - n - 1. Determine v*y(r) + 3*i(r).
7*r**2
Let k(t) = -11*t - 7. Let v(p) = 16*p + 10. Let z(o) = -8*k(o) - 5*v(o). Let i(b) = -17*b - 13. What is -6*i(a) - 13*z(a)?
-2*a
Let t be 13/3 + (-10)/(-15). Let z(s) = 2*s**2 + 5*s + 3. Let d = 450 + -454. Let b(m) = 2*m**2 + 6*m + 4. What is d*b(q) + t*z(q)?
2*q**2 + q - 1
Let c(n) = -121*n + 3. Let x(q) = -121*q + 4. Determine 6*c(s) - 5*x(s).
-121*s - 2
Let w(v) = -v**2 + 4*v - 3. Let m(r) = 2*r**2 - 10*r + 7. Let t(u) = 2*m(u) + 5*w(u). Let x(o) = -2*o**2 - 5. What is 5*t(i) - x(i)?
-3*i**2
Let x = -21 + 10. Let s(n) = 16*n**2 - 11*n - 31. Suppose 4*t + u = -12, -t = -25*u + 29*u + 18. Let p(l) = -3*l**2 + 2*l + 6. Calculate t*s(c) + x*p(c).
c**2 - 4
Let i(j) = 5*j**2 + 11*j - 5. Suppose -12*d + 13*d = 3. Let p(a) = -2*a**2 - 5*a + 2. What is d*i(m) + 7*p(m)?
m**2 - 2*m - 1
Let s(y) = -782*y - 85. Let k(b) = -28*b - 3. What is -85*k(f) + 3*s(f)?
34*f
Let k(s) = 3*s**2 + 76*s - 1. Let y(r) = -7*r**2 - 156*r + 2. What is -5*k(m) - 2*y(m)?
-m**2 - 68*m + 1
Let v(t) = -t**3 - 5*t**2 + 8*t - 5. Suppose -7*w - 23*w = -150. Let h(c) = -2*c**2 + 4*c - 2. Determine w*h(o) - 2*v(o).
2*o**3 + 4*o
Let y(u) = -36*u**2. Let j be 35/((-2975)/102)*10/(-6). Let x(q) = -7*q**2. What is j*y(c) - 11*x(c)?
5*c**2
Suppose -7*w + 8*w - 4 = 0. Let d(q) = -w*q + 3*q**2 + q - 3*q. Let k(o) = 9*o**2 - 17*o. Determine 17*d(i) - 6*k(i).
-3*i**2
Let c(g) = g + 7. Let u(a) = -6*a - 86. Determine -14*c(q) - 2*u(q).
-2*q + 74
Let l(d) = d - 2. Let j be -1*(4/2 - 3). Let y(i) = -13. Let v(m) = 66. Let a(r) = v(r) + 5*y(r). Determine j*l(c) - 3*a(c).
c - 5
Suppose 4*h + 5*l + 34 = 0, -10*l + 8 = -h - 11*l. Let b(f) = -4*f**2 + 5*f + f**2 + 5 - 5*f**2. Let s(c) = -9*c**2 + 6*c + 6. Calculate h*b(i) + 5*s(i).
3*i**2
Let s(t) = -2*t**2 + t + 2. Let p(k) = -4*k**2 + 3*k + 5. Let d be 20/(-6) - 1/(-12)*4. What is d*p(r) + 7*s(r)?
-2*r**2 - 2*r - 1
Let m(j) = -9*j**2 - 26*j - 41. Let f(g) = 2*g**2 + 5*g + 8. What is 11*f(y) + 2*m(y)?
4*y**2 + 3*y + 6
Let c(k) = k**3 + 3*k**2 - 6*k + 15. Let l(j) = -j + 1. Calculate c(q) - 6*l(q).
q**3 + 3*q**2 + 9
Let b = -7 + 7. Let k(x) = -2*x - x - x + b*x. Let j(f) = -9*f + 1. Let l(s) = -45*s + 5. Let d(c) = -11*j(c) + 2*l(c). Give -2*d(t) - 5*k(t).
2*t + 2
Let m(b) = -3*b + 2. Let u(z) = 4*z - 1. Let q(n) = 5*m(n) + 6*u(n). Let p be (102/14 - 7)*-14. Let g(d) = -8*d - 3. Calculate p*g(s) - 3*q(s).
5*s
Let i(c) = 2*c**2 + 6*c. Let z(q) = q**3 - q. Let y be z(-1). Suppose -4*j - 20 = -y*j. Let s = j + 1. Let p(w) = -w**2 - 3*w. Determine s*i(o) - 7*p(o).
-o**2 - 3*o
Let x(o) = -80*o**3 - 6*o**2 + 4*o - 3. Let w(j) = 2*j**2 - j + 1. Give -4*w(n) - x(n).
80*n**3 - 2*n**2 - 1
Let j(h) = -8*h**2 - 7*h. Let y(o) = o**2 + o. What is j(t) + 6*y(t)?
-2*t**2 - t
Let z(x) = -x**3 + x**2 + x + 1. Let o(a) = 3*a**3 - a**2 - 6*a - 3. What is o(f) + 5*z(f)?
-2*f**3 + 4*f**2 - f + 2
Let k(q) = 2*q**2 + 5*q. Let l(d) = -6*d**2 - 14*d - 1. Let u(f) = -4*f + 83. Let y be u(18). Determine y*k(t) + 4*l(t).
-2*t**2 - t - 4
Let p(z) = -z**2 - z - 1. Let q(f) = 3*f**2 - 2*f - 2. Let j(t) = 6*t**2 - 5*t - 5. Let m(o) = -4*j(o) + 9*q(o). What is 2*m(h) + 5*p(h)?
h**2 - h - 1
Let p(m) = -3*m**2 + 2*m + 3. Let r(h) be the third derivative of 0 + 6*h**2 + 2/3*h**3 + 1/8*h**4 - 1/15*h**5 + 0*h. Give -7*p(l) + 5*r(l).
l**2 + l - 1
Let i(u) = 6*u**2 - 5. Suppose -2*t + 6 = 2*f + 2*t, 0 = 2*t. Suppose -f*y = -6*y + 15. Let x(s) = 5*s**2 - 4. Give y*x(w) - 4*i(w).
w**2
Let f(k) = k - 4. Let o(c) = -1. Let m(g) = f(g) - 4*o(g). Let s be (3*1)/((4/3)/(680/255)). Let z(p) = -p**2 + 8*p. Determine s*m(j) - z(j).
j**2 - 2*j
Let z(n) = -51*n**3 + 15. Let d(a) be the second derivative of -13*a**5/20 + 2*a**2 + 234*a + 2. What is -15*d(u) + 4*z(u)?
-9*u**3
Let z(w) = w**2 - w. Let n(a) = 23*a**3 + 92*a**2 - 92*a. Give -3*n(f) + 276*z(f).
-69*f**3
Let z(h) = 370*h**3 + 6*h**2 + 3. Let r(l) = -741*l**3 - 11*l**2 - 5. Determine 3*r(m) + 5*z(m).
-373*m**3 - 3*m**2
Let j(l) = 4*l - l**3 - l + 3 - 3*l. Let t(k) be the first derivative of -k**4/4 + 5*k - 1. Calculate -10*j(d) + 6*t(d).
4*d**3
Let r(s) = 4 - 8*s - 5*s - s + 17*s - 5*s. Let i(p) = 0*p + 3*p + 6 - 6*p. Calculate -5*i(w) + 8*r(w).
-w + 2
Let h(q) = -q**2 - 2*q + 1. Let s(r) = 7*r**2 + 5*r - 4. What is 5*h(b) + s(b)?
2*b**2 - 5*b + 1
Let c(m) = -111*m**3 - 11*m**2 - 3*m - 11. Let t(u) = -37*u**3 - 4*u**2 - u - 4. What is 4*c(w) - 11*t(w)?
-37*w**3 - w
Let c(w) = 3*w**2. Let u(a) = -2*a**3 - 2*a**2 + 5. Let f(n) = -n**3 - n**2 + 3. Let q(h) = -5*