*x(n) - 7*z(n). What is b in k(b) = 0?
-2, -1
Let n(w) be the first derivative of w**4/6 - 2*w**3/3 + w**2 - 2*w/3 - 43. Factor n(j).
2*(j - 1)**3/3
Factor -y**2 + 6*y - 2*y**2 + 64*y - 22*y + 80 + 7*y**2.
4*(y + 2)*(y + 10)
Let v = 1/1474 + 12327/1474. Let u = 33 - 361/11. Factor -u - 58/11*c**4 - 2*c - 68/11*c**2 - v*c**3 - 14/11*c**5.
-2*(c + 1)**4*(7*c + 1)/11
Let z(n) be the first derivative of -5*n**5 + 205*n**4/4 - 565*n**3/3 + 555*n**2/2 - 90*n - 127. Let z(u) = 0. Calculate u.
1/5, 2, 3
Let u(i) = i - 11. Let k = 2 - -4. Let w be u(k). Let h(b) = 47*b**2 + 9*b - 1. Let o(p) = -48*p**2 - 9*p. Let c(t) = w*o(t) - 6*h(t). Factor c(z).
-3*(2*z + 1)*(7*z - 2)
Let r(l) = 15*l**4 - 175*l**3 - 1190*l**2 - 2470*l - 1680. Let g(q) = -2*q**4 - q**3 - 2*q**2 - 2*q. Let z(j) = -5*g(j) - r(j). Factor z(a).
-5*(a - 42)*(a + 2)**3
Factor 70*z**3 - 98/3*z**4 + 0 + 32/3*z - 48*z**2.
-2*z*(z - 1)*(7*z - 4)**2/3
Let h(s) = -4*s**2 - 25*s + 34. Let g(y) = y**2 + 8*y - 11. Let p be (-606)/(-54) - 4/18. Let r = -9 + p. Let f(d) = r*h(d) + 7*g(d). Let f(l) = 0. What is l?
3
Let m(o) = 2*o**2 + 109*o + 59. Let h be m(-54). Solve 0 + 3/2*p**2 - 3/2*p**4 - p + 1/2*p**h + 1/2*p**3 = 0 for p.
-1, 0, 1, 2
Let k(p) be the first derivative of 11*p**6/90 - 13*p**5/45 + p**4/9 - 17*p**2 - 18. Let v(i) be the second derivative of k(i). Factor v(t).
4*t*(t - 1)*(11*t - 2)/3
Let f(p) = 30*p + 16. Let n be f(-1). Let o be n/(-35) - 56/(-10). Factor 0 - 3/2*u**2 + o*u.
-3*u*(u - 4)/2
Suppose -5*p - 9 + 16 = 4*i, -4*p = -5*i - 22. Let t(o) be the second derivative of 0*o**2 - o**p + 0 + 1/4*o**4 - 5*o. Factor t(b).
3*b*(b - 2)
Let y(z) be the third derivative of z**7/285 + 4*z**6/285 - z**5/190 - 4*z**4/57 - 4*z**3/57 - 4*z**2 + 18*z. Solve y(i) = 0 for i.
-2, -1, -2/7, 1
Suppose 2*k + 17*k = 0. Let c(g) be the third derivative of 0*g**3 + k + 0*g**4 + 5*g**2 + 1/420*g**6 + 1/210*g**5 + 0*g. Factor c(d).
2*d**2*(d + 1)/7
Let j(r) be the second derivative of r**6/2160 - r**5/240 + 5*r**3/3 + 10*r. Let l(i) be the second derivative of j(i). Factor l(p).
p*(p - 3)/6
Let i(x) = x**3 - 11*x**2 + 9*x + 14. Let v be i(10). Suppose -v*p - 2*t = -0*p - 4, -3*t - 2 = 2*p. Factor -4 + p*s**3 + 6*s + 2 - 6*s**2 + 0*s.
2*(s - 1)**3
Let p(u) be the first derivative of -4*u**3/3 - 164*u**2 + 332*u - 288. Let p(d) = 0. What is d?
-83, 1
Suppose -26*i + 17*i = -45. Let c(a) be the third derivative of -2/9*a**3 + 0 + 1/30*a**i + 5/36*a**4 - 11*a**2 + 0*a. Factor c(z).
2*(z + 2)*(3*z - 1)/3
Factor -13/8 - 41/4*r**2 - 17/8*r**4 + 1/8*r**5 + 53/8*r + 29/4*r**3.
(r - 13)*(r - 1)**4/8
Suppose -8*u = -14*u + 42. Solve -2*g**2 - 34*g - u*g**2 + 8 + 17*g**2 = 0 for g.
1/4, 4
Let i(w) be the second derivative of 9*w + 0*w**2 + 2/75*w**6 + 0*w**4 + 0 + 0*w**3 + 1/50*w**5. Factor i(a).
2*a**3*(2*a + 1)/5
Let q(y) be the first derivative of 4/5*y**2 + 6/5*y - 14/15*y**3 + 5. Factor q(p).
-2*(p - 1)*(7*p + 3)/5
Suppose 14*a - 27*a + 28 = a. What is b in -4/7*b**a + 64/7*b - 256/7 = 0?
8
Let r be 10*(65/10 - 6) + -5. Let j(f) be the second derivative of r*f**3 - 9*f - 4*f**2 + 1/6*f**4 + 0. Determine h so that j(h) = 0.
-2, 2
Suppose 3/5*m**5 - 9/5*m**4 + 9/5*m**2 - 6/5*m + 0 + 3/5*m**3 = 0. What is m?
-1, 0, 1, 2
Let a(o) be the first derivative of 2*o**3/33 - 72*o**2/11 + 2592*o/11 + 72. Determine v so that a(v) = 0.
36
Suppose -2*l + 0*i - 76 = 2*i, -3*i = -4*l - 138. Let z be ((-22)/(-14) - 1)/(l/(-42)). Factor z + q + 0*q**2 - 1/3*q**3.
-(q - 2)*(q + 1)**2/3
Let v(o) be the third derivative of o**8/112 + 3*o**7/70 + 3*o**6/40 + o**5/20 - 3*o**2 + 148. Factor v(g).
3*g**2*(g + 1)**3
Let u = -10 + 20. Let z be (u + -2)*2/12. Find s, given that 2/3*s**2 + 0 + z*s - 4/3*s**3 - 2/3*s**4 = 0.
-2, -1, 0, 1
Suppose 0 = 2*n - 9*n + 35. Factor -2*l - 5*l**3 - 252*l**2 + 5*l**4 + 259*l**2 - l**n - 4*l**3.
-l*(l - 2)*(l - 1)**3
Let w be -2 - -6 - (-68436)/(-9). Let m = -98702/13 - w. Factor -140/13*j**4 + 40/13*j**2 + 8/13*j + m*j**5 - 6/13*j**3 + 0.
2*j*(j - 1)**2*(7*j + 2)**2/13
Let o(c) = -2*c**2 + 6*c + 8. Let p(u) = 3*u**2 - 43 + 97 - 39 + 11*u - 7*u**2. Let t(i) = -5*o(i) + 2*p(i). Factor t(v).
2*(v - 5)*(v + 1)
Let v(i) be the third derivative of -1/9*i**3 + 1/189*i**7 - 20*i**2 + 1/90*i**6 + 1/1512*i**8 + 0 - 7/108*i**4 - 1/135*i**5 + 0*i. Factor v(s).
2*(s - 1)*(s + 1)**3*(s + 3)/9
Let r = 71 + -71. Determine z so that 50*z**2 + 6 - 48*z**2 + 8*z + 0 + r = 0.
-3, -1
Suppose 0 = 10*i - 19*i + 54. Factor -24*d**2 + 13 + 6*d**4 + i*d**2 - 4*d**3 - 5.
2*(d - 2)*(d + 1)**2*(3*d - 2)
Let s(l) = -2*l + 56. Let n be s(24). Let i be 35/(-28) + 10/n. Determine z so that -1/3*z**3 + i*z + 1/3*z**2 + 0 = 0.
0, 1
Factor 8/3*n + 8/3 - 2*n**2 + 2/3*n**4 - 4/3*n**3.
2*(n - 2)**2*(n + 1)**2/3
Let r(p) = -9*p**5 - p**4 - 7*p**3 - 3*p**2 - 4*p - 4. Let u(t) = 2*t**5 + 2*t**3 + t**2 + t + 1. Let c(y) = -3*r(y) - 12*u(y). Factor c(z).
3*z**2*(z - 1)*(z + 1)**2
Factor -33*a**2 - 84/5*a + 6/5*a**3 + 0.
3*a*(a - 28)*(2*a + 1)/5
Suppose 8525*n - 64 = 8493*n. Solve -128/5 - 2/5*o**n - 32/5*o = 0 for o.
-8
Suppose -5*z + 103*v - 108*v = -15, z - 3*v = -1. Determine h so that 3*h + 15/8*h**z + 3/2 + 3/8*h**3 = 0.
-2, -1
Let z be 5/((-15)/(-48)) + -4. Suppose 0 = -w, -s = 4*s + 5*w - 10. Factor z*j**2 + 9*j**2 - 15*j**s - 2*j**3.
-2*j**2*(j - 3)
Suppose -4*q + 3*y - 3 = 0, -3*q = y + 2*y - 3. Suppose 14 = 4*g - 2*o, 4*o + 19 = 5*g - q. Factor -12*p**2 - 6*p - 8*p**3 + 3*p**g + p**3 - 2*p.
-4*p*(p + 1)*(p + 2)
Let x = -86/179 - -2048/537. Solve 40/3 - 104/3*w + x*w**2 = 0.
2/5, 10
Let s(d) = -11*d**4 + 20*d**3 + 5*d**2 - 26*d. Let t(z) = 10*z**4 - 20*z**3 - 5*z**2 + 25*z. Let n(x) = -5*s(x) - 6*t(x). Factor n(i).
-5*i*(i - 4)*(i - 1)*(i + 1)
Let o(d) be the third derivative of -d**9/60480 + d**7/1680 - d**6/360 + d**5/6 - 13*d**2. Let s(m) be the third derivative of o(m). Factor s(a).
-(a - 1)**2*(a + 2)
Let s(n) be the third derivative of -3*n**2 - 1/80*n**5 + 0*n + 1/32*n**4 + 0 + 0*n**3. Find i, given that s(i) = 0.
0, 1
Let j be ((-399)/(-152) - 3)*(-8)/5. Suppose 0*s - 6/5*s**2 + 0 + j*s**3 = 0. Calculate s.
0, 2
Let l(j) be the first derivative of 1029*j**5/10 - 735*j**4/8 - 693*j**3/2 - 1053*j**2/4 - 81*j + 209. Determine r so that l(r) = 0.
-3/7, 2
Suppose 5*h - 5*x = 20, 3*x + 2 + 4 = 0. Let k(t) be the first derivative of 1/9*t**h + 4/9*t + 2 - 2/27*t**3. Factor k(z).
-2*(z - 2)*(z + 1)/9
Suppose 16/9*v + 0 - 74/9*v**4 + 44/3*v**3 - 88/9*v**2 + 14/9*v**5 = 0. What is v?
0, 2/7, 1, 2
Let g be 1*((-1)/(2/(-708)) + -1). Let h = 2503/7 - g. Solve h*n + 16/7 - 20/7*n**2 = 0.
-2/5, 2
Let i(n) be the second derivative of n**8/112 - n**7/70 - n**6/40 + n**5/20 - 25*n**2/2 + 15*n. Let b(g) be the first derivative of i(g). Factor b(a).
3*a**2*(a - 1)**2*(a + 1)
Let s(r) = 2 - 6 + 4 + 1. Let a(l) = 4*l**3 - 4*l**2 - 3*l - l**3 + 5 + l**2. Let o(c) = -a(c) + 2*s(c). Find n such that o(n) = 0.
-1, 1
Let j(b) be the third derivative of -b + 1/18*b**6 - 4/9*b**3 - 2/315*b**7 + 20*b**2 - 1/5*b**5 + 0 + 7/18*b**4. Find n such that j(n) = 0.
1, 2
Let j(t) be the second derivative of 9/20*t**5 + 0*t**2 + 1/3*t**3 + 15*t + 1/6*t**6 + 0 + 7/12*t**4 + 1/42*t**7. What is f in j(f) = 0?
-2, -1, 0
Let b = 202 + -192. Let v be (1/4)/(b/20). Determine d, given that -v*d**2 - 1/2*d + 1 = 0.
-2, 1
Let f be -2*26/(-156) + (-2)/6. Factor f + 2/5*s**4 + 0*s + 4/5*s**3 + 0*s**2.
2*s**3*(s + 2)/5
Let c(z) be the third derivative of z**7/1400 + z**6/150 + z**5/200 - 3*z**4/20 - 7*z**3/6 + 7*z**2. Let g(m) be the first derivative of c(m). Factor g(l).
3*(l - 1)*(l + 2)*(l + 3)/5
Let f(s) = s**3 - s**2 - 2. Let i(v) = 3*v**3 - 92*v**2 + 107*v - 34. Let u(q) = -8*f(q) + i(q). Determine p so that u(p) = 0.
-18, 1/5, 1
Let l = -114/317 + 2878/951. Factor -l + 2/3*a**2 - 2*a.
2*(a - 4)*(a + 1)/3
Let m = -5 - -10. Let x be (2 + 0)/(2/m). Let 0*h**4 + 0*h**5 + 2*h - 2*h**x + 4*h**4 - 4*h**2 = 0. What is h?
-1, 0, 1
Let v be (52/65)/(2/5). Let l(n) be the first derivative of -10/3*n**3 - 8*n**v - 5 - 8*n - 1/2*n**4. Solve l(f) = 0.
-2, -1
Suppose 0 = 4*p + y - 9 - 28, 3*p = y + 19. Let i be -4*(-3)/p*12/9. Factor i*g + 4/3 + 2/3*g**2.
2*(g + 1)*(g + 2)/3
Let q(i) be the third derivative of -i**7/210 + 19*i**6/60 - 107*i**5/20 - 95*i**4/3 - 200*i**3/3 - 54*i**2 