**3/9 - 96*k**2. Suppose l(y) = 0. What is y?
-1, 7
Let b(a) = 9*a**3 + 8*a**2 + 2*a - 3. Let z(k) = 17*k**3 + 16*k**2 + 4*k - 5. Let f = 15 - 20. Let j(l) = f*b(l) + 3*z(l). Let j(x) = 0. What is x?
-1, -1/3, 0
Let q(c) = 2*c + 4. Let t be q(4). Let x = t + -10. Factor -3*a**x - 2 + 6*a + 6*a**3 - 4*a**3 - 3*a**2.
2*(a - 1)**3
Let s(y) be the third derivative of y**7/140 - y**6/80 - 7*y**5/40 + 13*y**4/16 - 3*y**3/2 + 6*y**2 + 45*y. Let s(k) = 0. Calculate k.
-3, 1, 2
Let c(i) = i**2 - 538*i - 3262. Let m be c(-6). Factor 1/4*y**m + 13/2*y + 169/4.
(y + 13)**2/4
Let b = 91/6 - 419/30. Let x = -81/10 - -17/2. Factor b*r + x*r**2 + 4/5.
2*(r + 1)*(r + 2)/5
Let g = -137 + 98. Let k = 39 + g. Factor -2/9*r**2 + 0*r + k - 2/9*r**4 - 4/9*r**3.
-2*r**2*(r + 1)**2/9
Let t(x) be the first derivative of x**8/4200 + x**7/1050 - x**6/900 - x**5/150 - 16*x**3/3 + 15. Let s(i) be the third derivative of t(i). Factor s(l).
2*l*(l - 1)*(l + 1)*(l + 2)/5
Let x(h) be the first derivative of -7/9*h**4 + 17 + 0*h**2 + 0*h - 8/27*h**3. Factor x(a).
-4*a**2*(7*a + 2)/9
Let i = -19574 + 19576. Factor -16/13*k**i + 2/13*k + 4/13 + 10/13*k**3.
2*(k - 1)**2*(5*k + 2)/13
Let u(c) be the third derivative of 0*c + 1/39*c**4 + 0 - 12*c**2 + 4/39*c**3 + 1/390*c**5. Factor u(s).
2*(s + 2)**2/13
Let i(c) be the first derivative of 8/9*c + 8/9*c**2 + 1/6*c**4 + 36 - 22/27*c**3. Factor i(v).
2*(v - 2)**2*(3*v + 1)/9
Let a be 1*(-1 - (-30)/24). Let m(d) be the first derivative of -5 + 0*d + 1/12*d**6 + 0*d**3 + 0*d**5 - 1/4*d**4 + a*d**2. Factor m(z).
z*(z - 1)**2*(z + 1)**2/2
Let i be (-4)/(-2) + (5 - 3). Factor 7*m + i*m**2 + m**3 - m - 3*m.
m*(m + 1)*(m + 3)
Let q(y) = -2*y - 31. Let t be q(-17). Suppose -10*s**2 + s**t - 2*s**3 + 18*s - 50*s - 32 = 0. What is s?
-4, -2
Let k(m) be the second derivative of -m**6/70 + 6*m**5/35 - 23*m**4/28 + 2*m**3 - 18*m**2/7 + 44*m. Solve k(c) = 0 for c.
1, 2, 3
Let k(j) = j**2 + j + 2. Let q(p) = -p**2 - 8*p - 13. Let d be q(-3). Let o(a) = 9*a**2 + 9*a + 22. Let v(c) = d*o(c) - 22*k(c). Factor v(n).
-4*n*(n + 1)
Suppose 5*z + z = 0. What is i in 35*i - 37*i + 2*i**3 + 0*i**2 + z*i**2 = 0?
-1, 0, 1
Let d be 4/2 + -2 + 2. Factor 2*a**3 + 2*a**3 - 4*a - d*a**2 + 4 + a**2 - 3*a**2.
4*(a - 1)**2*(a + 1)
Let n(g) be the first derivative of g**4 - 4*g**3/3 - 4*g**2 - 223. What is a in n(a) = 0?
-1, 0, 2
Let f = 209 + -183. Let m = f + -23. What is b in 2*b - 16*b**2 + 0 + 81/2*b**m + 10*b**5 - 73/2*b**4 = 0?
0, 1/4, 2/5, 1, 2
Let s(k) be the second derivative of 0 + 0*k**3 + 0*k**2 - k - 1/3*k**4. Factor s(j).
-4*j**2
Let y be (-8)/16*(2 + 0)*-54. Let d be ((-44)/(-6) + -4)/(15/y). Factor 18*m**4 + 0 + 111/5*m**3 + 12/5*m + 27/5*m**5 + d*m**2.
3*m*(m + 1)**2*(3*m + 2)**2/5
Let m(z) be the second derivative of 0 - 1/42*z**4 + 1/42*z**3 + 27*z + 0*z**2 + 0*z**5 - 1/294*z**7 + 1/105*z**6. Determine s, given that m(s) = 0.
-1, 0, 1
Suppose -9*k = -11*k + 178. Let w = k + -89. Solve 0 + w*s + 15/7*s**3 - 12/7*s**4 + 3/7*s**5 - 6/7*s**2 = 0.
0, 1, 2
Suppose -440 = -63*a - 46*a + 21*a. Factor 3/5*w**a + 0 + 0*w - 3/5*w**3 - 3/5*w**4 + 3/5*w**2.
3*w**2*(w - 1)**2*(w + 1)/5
Let l(p) = -7*p + 46. Let o be l(6). Let t(x) be the first derivative of 4/35*x**5 + 0*x**2 + 0*x - 6 + 4/21*x**3 - 5/14*x**o. Let t(g) = 0. Calculate g.
0, 1/2, 2
Let q(r) be the third derivative of -5*r**2 + 0*r + 0 - 1/480*r**6 + 0*r**3 + 0*r**4 + 1/120*r**5. Determine n, given that q(n) = 0.
0, 2
Let r be ((-525)/(-150))/((-21)/(-12)*1). Find u such that 1/4*u**3 + u**r + 0 + u = 0.
-2, 0
Let p(q) be the first derivative of 4*q**5/5 - 4*q**3/3 - 74. Factor p(o).
4*o**2*(o - 1)*(o + 1)
Let c(q) be the second derivative of -q**7/126 - q**6/90 + q**5/60 + q**4/36 - 47*q + 2. Suppose c(k) = 0. What is k?
-1, 0, 1
Let b(c) be the second derivative of c**5/300 + c**4/30 - 27*c**2/2 + 4*c. Let t(f) be the first derivative of b(f). Let t(o) = 0. Calculate o.
-4, 0
Let p(d) be the second derivative of 0*d**2 - 9/10*d**5 - 1/4*d**4 + 23*d - 9/10*d**6 + 0*d**3 + 0. Factor p(q).
-3*q**2*(3*q + 1)**2
Let w be 52/20 - 4/(-10). Let t(b) = -b**3 - 2*b**2 + b + 2. Let s be t(-3). Find f, given that -9*f**2 + 21*f + s + 1 + w*f = 0.
-1/3, 3
Let z(m) be the first derivative of -5*m**5/11 - 195*m**4/11 + 487*m**3/11 - 394*m**2/11 + 12*m - 168. Find l, given that z(l) = 0.
-33, 2/5, 1
Let z(g) be the second derivative of 0*g**4 - 16*g - 2/3*g**3 + 2*g**5 - 6/7*g**7 + 0 + 0*g**6 + 0*g**2. What is p in z(p) = 0?
-1, -1/3, 0, 1/3, 1
Let z(d) = -2*d**2 - 16*d - 14. Let w be z(-7). Factor w*p**2 - 3/2*p**3 + 1/2*p**4 + 2*p + 0.
p*(p - 2)**2*(p + 1)/2
Suppose 0 = -g + 1 + 1. Factor -3*t**3 - 6*t**3 + 2*t**3 + 5*t**5 + 2*t**3 + 5*t**4 - 5*t**g.
5*t**2*(t - 1)*(t + 1)**2
Suppose 0 = -3*k + 25 - 19. Let m(q) be the third derivative of -3*q**k + 1/54*q**4 - 1/18*q**3 + 0 + 0*q - 1/540*q**5. Solve m(b) = 0.
1, 3
Let f = -87 + 126. Suppose -n + 2*n + y = -8, -3*n + 2*y = f. Let h(t) = 2*t**2 - 9*t - 11. Let g(v) = -v**2 + 5*v + 6. Let i(p) = n*g(p) - 6*h(p). Factor i(k).
-k*(k + 1)
Suppose -22 = 2*y - 32. Factor 3*b**3 + 135*b**4 - 136*b**4 - 3*b**2 - 5 + y + b.
-b*(b - 1)**3
Let s(t) be the first derivative of -1/3*t**3 - 12 - 36*t + 6*t**2. Factor s(w).
-(w - 6)**2
Let j(i) be the third derivative of -i**5/20 - 35*i**4/8 - 17*i**3 - 71*i**2 + i. Let j(n) = 0. What is n?
-34, -1
Suppose 6 - 18 = -3*d. Let k be -4 + (d - 2) + 18/7. Factor -2/7*b**5 + 4/7*b**3 + 2/7*b**4 + 2/7 - k*b**2 - 2/7*b.
-2*(b - 1)**3*(b + 1)**2/7
Let y(a) be the third derivative of a**6/540 + a**5/18 + 7*a**4/12 + 49*a**3/27 - a**2 - 214*a. Solve y(x) = 0.
-7, -1
Let y(f) be the first derivative of -f**8/1260 - f**7/105 - f**6/30 - 2*f**5/45 - 15*f**3 + 35. Let s(b) be the third derivative of y(b). Factor s(l).
-4*l*(l + 1)**2*(l + 4)/3
Let j be (-3)/(-7 + 17 + -28). Factor -j*k**2 + 1/6*k + 0.
-k*(k - 1)/6
Let b(x) = -3*x**3 + x**2 - x + 3. Let p be b(-2). Suppose -15*v + p = -4*v. Factor -9/5*q - 6/5 + 0*q**2 + 3/5*q**v.
3*(q - 2)*(q + 1)**2/5
Let q(c) be the third derivative of -c**5/80 + 47*c**4/32 + 49*c**3/4 - 6*c**2 + 21. Suppose q(y) = 0. What is y?
-2, 49
Solve -6/5*o**3 + 0*o + 6/5*o**5 + 0*o**4 + 0 + 0*o**2 = 0.
-1, 0, 1
Let k(s) be the second derivative of s**5/20 + 5*s**4/4 + 8*s**3 - 32*s**2 + 9*s - 11. Factor k(h).
(h - 1)*(h + 8)**2
Let t be (-1241)/(-425) + 2/25. Suppose -5*h = -3*c - t - 6, -5*h - 4*c + 23 = 0. What is o in -21/8*o**2 + 3/8*o**h + 45/8*o - 27/8 = 0?
1, 3
Determine m, given that 15*m - 160*m**3 + 37 + 150*m**3 + 20*m**4 - 37 - 5*m**5 - 20*m**2 = 0.
-1, 0, 1, 3
Let f(t) = t**3 + 8*t**2 + 8*t + 9. Let k be 2/2*-3 + -4. Let u be f(k). Determine v, given that 4*v - 2*v**2 + u*v - 2*v**2 + 2*v = 0.
0, 2
Let k(g) be the first derivative of -5*g**4/4 - 40*g**3/3 - 95*g**2/2 - 60*g - 15. Factor k(s).
-5*(s + 1)*(s + 3)*(s + 4)
Let d(o) be the first derivative of 4*o + 1 - 2/15*o**6 + 0*o**5 + 0*o**3 + 0*o**2 + 0*o**4. Let v(c) be the first derivative of d(c). Factor v(a).
-4*a**4
Let x(j) = -j. Let o(g) = -g**2 - 5*g - 5. Let u(c) = -o(c) + x(c). Let p(i) = 2*i**2 + 8*i + 11. Let q(n) = -2*p(n) + 5*u(n). Solve q(y) = 0 for y.
-3, -1
Let v = 202 + -200. Let a(m) be the second derivative of -1/24*m**4 + 0 + 5*m - 1/4*m**v - 1/6*m**3. Solve a(k) = 0.
-1
Suppose -2*y + i - 79 = 6*i, 5*i - 233 = 4*y. Let l be 44/y + 1 + 80/156. Let 4/3*a**2 + 2/3*a + 0 + l*a**3 = 0. Calculate a.
-1, 0
Let b(r) be the second derivative of -r**7/16 + r**6/5 + 9*r**5/160 - r**4/2 + r**3/4 - 71*r. Solve b(s) = 0 for s.
-1, 0, 2/7, 1, 2
Let j = -67 - -70. Let s be ((-1)/1)/(-2)*4. Suppose -4*a**2 + s*a**3 + 3*a**3 + 4*a**4 - 2*a**j + a**5 - 4*a = 0. Calculate a.
-2, -1, 0, 1
Let y(n) be the second derivative of 1/25*n**6 + 0 - 1/5*n**3 + 1/105*n**7 - 1/5*n**2 + 1/25*n**5 - 1/15*n**4 - 13*n. Factor y(d).
2*(d - 1)*(d + 1)**4/5
Suppose 2*a = -p + 8, -2*a + 11 - 27 = -5*p. Let o(q) be the second derivative of 1/12*q**4 - 1/3*q**3 - 4*q + 1/2*q**a + 0. Suppose o(u) = 0. What is u?
1
Let a(t) = t + 1 + 1 + 0*t - 5*t. Let s(n) = n**3 + 21*n - 11. Let y(r) = 22*a(r) + 4*s(r). Find j such that y(j) = 0.
-1, 0, 1
Suppose 3 = 4*u - 3*u. Suppose u*q - i + 3*i = 230, i = -3*q + 229. Factor -t**5 - 76 + t**3 + q.
-t**3*(t - 1)*(t + 1)
Factor 81000