*y**4 + 0 = 0.
-3, -1/3, 0
Let o(n) = n**2 + 3*n. Let i(t) = -t - 94 + 190 - 96. Let h(a) = 3*i(a) + o(a). Suppose h(x) = 0. Calculate x.
0
Suppose v = b, 0 = -b + 2*v - 3*v. Let s(r) be the third derivative of 1/80*r**5 + r**2 + 1/24*r**3 + b*r + 1/480*r**6 + 1/32*r**4 + 0. Factor s(g).
(g + 1)**3/4
Let i(v) be the second derivative of v**6/15 - 3*v**5/2 - v**4/6 + 5*v**3 - 551*v. Let i(k) = 0. Calculate k.
-1, 0, 1, 15
Suppose 0 = 7*j - 133 - 7. Determine b, given that -6*b**5 + 20*b**3 + 2*b**5 - 32*b + 4*b**2 - j + 18 - 4*b**4 + 18 = 0.
-2, 1
Let s be ((-1)/(-1) - 1) + (4 - 1). Factor -s*d - 14*d**3 + d + 10*d**2 - 45*d**4 + 51*d**4.
2*d*(d - 1)**2*(3*d - 1)
Suppose 0 = -22*b + 469 - 205. Suppose 9/4*u**5 - 33/4*u + 9/2*u**2 + 18*u**3 - 9/2 + b*u**4 = 0. What is u?
-3, -1, 2/3
Let i(p) = -p**3. Let j(v) = -6*v**3 - 3*v**2 - 2*v. Let o(k) = -5*i(k) + j(k). Factor o(q).
-q*(q + 1)*(q + 2)
Let b(q) be the second derivative of -q**7/189 + 19*q**6/45 - 149*q**5/15 + 1175*q**4/27 - 83*q**3 + 81*q**2 + 9*q. Factor b(c).
-2*(c - 27)**2*(c - 1)**3/9
Let q(p) = 6*p**3 + p**2 - p. Let k(t) = -37*t**3 - 52*t**2 + 6*t. Let a(o) = k(o) + 6*q(o). Suppose a(x) = 0. What is x?
-46, 0
Let m(s) = s**2 + 9*s + 10. Let t be m(-8). Factor -q**t - 3 + 4*q - 5*q + 5*q.
-(q - 3)*(q - 1)
Let c(d) be the third derivative of -d**6/1140 - 3*d**5/190 - 2*d**4/19 - 16*d**3/57 - 2*d**2 + 21. Solve c(q) = 0.
-4, -1
Let b(s) be the third derivative of s**6/60 - 8*s**5/15 - s**4/12 + 16*s**3/3 - 17*s**2 - 17. Solve b(i) = 0 for i.
-1, 1, 16
Let c be (-5 - -6)*-9 + 11. Let o(d) be the third derivative of 1/105*d**5 + 0*d + 2*d**c - 4/21*d**3 + 1/42*d**4 + 0. Suppose o(k) = 0. What is k?
-2, 1
Let n(b) be the first derivative of -b**3/15 + 83*b**2/5 - 6889*b/5 - 245. Factor n(c).
-(c - 83)**2/5
Factor 0 - 34/7*k - 1/7*k**3 + 5*k**2.
-k*(k - 34)*(k - 1)/7
Suppose -13*w = -16*w - 165. Let x = -53 - w. Factor 0*d + 0 - 1/5*d**x.
-d**2/5
Suppose -7*v = 4*v - 44. Let n(p) be the third derivative of 0*p + 0*p**3 + 1/100*p**5 + 4*p**2 + 0 - 1/40*p**v. Factor n(j).
3*j*(j - 1)/5
Find y such that 0 + 1/5*y**5 + 17/5*y**4 + 44/5*y + 103/5*y**2 + 15*y**3 = 0.
-11, -4, -1, 0
Let d be (-10 - -22)/((-24)/8 + (1 - -9)). Suppose -d*a**2 + 25/7*a - a**3 - 6/7 = 0. What is a?
-3, 2/7, 1
Factor f**3 - 4*f**3 - 95*f**2 - 4*f**4 + 91*f**2 - 5*f**3.
-4*f**2*(f + 1)**2
Suppose -m - 1 + 6 = 0. Suppose 2 = 2*c - 2*j - 10, -46 = -m*c - 3*j. Factor -8*n**3 - 5 - 18*n**5 + 10*n + 1 + 16*n**5 - 4*n**2 + c*n**4.
-2*(n - 2)*(n - 1)**3*(n + 1)
Factor -15 - 145*s**4 + 30*s**3 - 152*s**4 + 302*s**4 + 10*s**2 - 5*s**5 - 25*s.
-5*(s - 3)*(s - 1)*(s + 1)**3
Find u such that 27*u**2 + 24 + 99/2*u + 3/2*u**3 = 0.
-16, -1
Suppose -4*v = v - 15. Factor 55*j**3 - 2*j - 52*j**v - j**4 - 2*j.
-j*(j - 2)**2*(j + 1)
Let v be 39/12 - (-5)/(-20). Suppose -v = 2*q - 13. Factor -3*r**3 + r**4 - 2*r + 5*r**2 - q*r**3 + 2*r**3 + 2*r**3.
r*(r - 2)*(r - 1)**2
Let d = 2867 + -2863. Factor 0*n**2 + 2/9*n**d + 0*n + 0 - 2/9*n**3.
2*n**3*(n - 1)/9
Let h(a) = -6*a**2 + 12*a - 19. Suppose 0 = -5*v + 34 + 161. Let o(d) = -d**2 + 2*d - 3. Let p(s) = v*o(s) - 6*h(s). Determine n so that p(n) = 0.
1
Let c be ((-14)/(-21))/(2/891). Let s be (-2)/(-16) + (6 - c/72). Factor -2/5*k**s - 2/5*k**3 + 2/5*k**4 + 0 + 2/5*k.
2*k*(k - 1)**2*(k + 1)/5
Let z(j) be the first derivative of -3*j**5 + 65*j**4/4 + 50*j**3/3 - 59. Determine g so that z(g) = 0.
-2/3, 0, 5
Suppose -5*z - 2*b + 25 = -b, 0 = 5*z + 4*b - 40. Factor -z*p - 10*p**2 + p - 2*p + 5*p**2.
-5*p*(p + 1)
Factor 0 - 312/5*b**2 + 132/5*b**3 + 48*b - 18/5*b**4.
-6*b*(b - 2)**2*(3*b - 10)/5
Let k(q) be the second derivative of q**6/420 - q**5/210 - q**4/42 - 6*q**2 + 16*q. Let m(x) be the first derivative of k(x). Solve m(p) = 0.
-1, 0, 2
Find k, given that -25*k**4 + 0*k**2 + 53*k**3 + k**5 + 11*k**4 - 4*k**3 + 0*k**2 = 0.
0, 7
Let b(d) be the third derivative of 0*d**5 - 1/504*d**8 + 1/90*d**6 + 0*d**7 + 40*d**2 - 1/36*d**4 + 0*d**3 + 0*d + 0. Determine u so that b(u) = 0.
-1, 0, 1
Factor -9*x - x**3 + 3*x**3 - 6*x + 7*x**2.
x*(x + 5)*(2*x - 3)
Let r(x) be the first derivative of 2*x**3/3 - 12*x**2 + 40*x - 42. Factor r(h).
2*(h - 10)*(h - 2)
Let y(v) = v**3 + 2*v**2 - v + 4. Let l(g) = g**2 + 1. Let p(d) = -3*l(d) + y(d). Let m(f) = f**3 - 3*f**2 + 3*f - 1. Let r(j) = -m(j) - p(j). Solve r(s) = 0.
0, 1
Suppose w = -5*t - 78, 0 = 2*t - t + 2*w + 12. Let k = t - -19. Let -9*l**3 + 0*l**2 + 4*l**2 - 4 + 3*l**2 + 6*l**k = 0. Calculate l.
-2/3, 1, 2
Let o(x) = x**2 + 5*x - 20. Suppose 0 = b + 2, -4*b = -5*k + b - 30. Let g be o(k). Factor 20/7*s**g - 8/7*s**3 - 16/7*s**2 + 0 - 6/7*s**5 + 0*s.
-2*s**2*(s - 2)**2*(3*s + 2)/7
Let m(q) = 4*q**4 - 21*q**3 - 96*q**2 - 101*q - 36. Let w(p) = -p**3 - p. Let i(n) = m(n) + 3*w(n). Solve i(r) = 0.
-1, 9
Let p be (-9)/(-4) - 1/4. Let a(q) = -1 - 6*q**2 + 3*q - p + 0*q. Let j(x) = -12*x**2 + 6*x - 5. Let i(b) = 5*a(b) - 3*j(b). Factor i(z).
3*z*(2*z - 1)
Let k(j) = 3*j**2 - 41*j - 167. Let r(t) = -92 + 3*t**2 - 62*t - 62 + 2*t**2 - 97. Let p(b) = -8*k(b) + 5*r(b). Factor p(s).
(s + 9)**2
Let u(f) be the third derivative of -5*f**2 + 0*f - 1/12*f**4 - 7/60*f**5 + 0*f**3 + 0 - 1/40*f**6. Factor u(j).
-j*(j + 2)*(3*j + 1)
Let l(c) be the first derivative of c**6/11 + 2*c**5/55 - 4*c**4/11 + 8*c**3/33 - 97. Suppose l(o) = 0. Calculate o.
-2, 0, 2/3, 1
Determine k, given that -169*k**2 + 6*k**4 - 2254*k - 1372 - 98*k**2 + k**2 + 46*k**3 = 0.
-7, -2/3, 7
Let s(g) be the third derivative of g**5/60 + 5*g**4/12 + 3*g**3/2 + 14*g**2 - 3. Factor s(r).
(r + 1)*(r + 9)
Let a = 7 - 3. Let s = 3630 - 3627. Suppose 0*h + 0 + 3/5*h**a - 3/5*h**2 + 3/5*h**s - 3/5*h**5 = 0. Calculate h.
-1, 0, 1
Let t be 15/(-21)*(8 + -27 + 12). Let 4 + 79*j**2 + 52*j**4 - 189/2*j**3 - 21/2*j**t - 30*j = 0. What is j?
2/7, 2/3, 1, 2
Let u = -884 - -11494/13. Let s(d) be the first derivative of -7 + 0*d - u*d**2 + 10/39*d**3. Factor s(w).
2*w*(5*w - 2)/13
Let h be (12 + -1 + -44 + 34)*(3 - 3). Factor -2/11*k**5 + h - 4/11*k**2 + 0*k - 10/11*k**3 - 8/11*k**4.
-2*k**2*(k + 1)**2*(k + 2)/11
Let b(n) = -4*n**2 - 312*n + 7. Let z(a) = 3*a**2 + 208*a - 5. Let i(t) = 5*b(t) + 7*z(t). What is g in i(g) = 0?
0, 104
Determine b so that -2*b**2 - 36 - 166/3*b = 0.
-27, -2/3
Let u(g) be the second derivative of g**10/151200 - g**8/4200 + g**6/225 - 3*g**4/2 - 8*g. Let k(w) be the third derivative of u(w). Find p such that k(p) = 0.
-2, 0, 2
Let r = -15 + 16. Let n(a) = -2*a**2 - 2*a - 11. Let p(s) = s**2 + s + 1. Let d(l) = r*n(l) + 5*p(l). Let d(i) = 0. Calculate i.
-2, 1
Let a(x) be the second derivative of x**6/105 - x**5/14 + x**4/21 + 20*x**3/21 - 24*x**2/7 + 160*x. Factor a(y).
2*(y - 3)*(y - 2)**2*(y + 2)/7
Suppose k = -n - 1 + 7, 4*n + 5*k - 29 = 0. Suppose -2*z + n = -9. Factor 43*a**3 - 44*a**3 + 3*a**5 - 2*a**z.
a**3*(a - 1)*(a + 1)
Let t = -8 + 13. Suppose 33 = -0*l + 2*l - t*i, -5*i = 4*l + 9. Factor 98 - 18 + l*x**3 + 15*x**4 + 5*x**5 - 80*x**2 - 24*x**3.
5*(x - 2)*(x - 1)*(x + 2)**3
Let u be (-4 - (-9 - -5))/(2/2). Let k(i) be the first derivative of 5 + 0*i**2 + 0*i + 1/5*i**5 + u*i**4 - 1/3*i**3. Suppose k(w) = 0. Calculate w.
-1, 0, 1
Suppose -13*j = -17*j + 32. Factor -j*v**2 + 2 - 16 + 5*v**2 - 61 - 30*v.
-3*(v + 5)**2
Let u be (-27)/18*20/(-6). Factor 1 + u - a**2 - 5.
-(a - 1)*(a + 1)
Let m(c) be the third derivative of 0*c**5 - 1/540*c**6 + 0 - 2/945*c**7 + 30*c**2 + 0*c**4 - 1/1512*c**8 + 0*c + 0*c**3. Factor m(h).
-2*h**3*(h + 1)**2/9
Let u(z) = 304 - 299 + 7*z**2 - 17*z**2. Let w(v) = -11*v**2 - v + 4. Let o(j) = -4*u(j) + 5*w(j). Factor o(n).
-5*n*(3*n + 1)
Let u(z) = 5*z**3 + 400*z**2 + 8387*z + 15208. Let g(o) = 110*o**3 + 8800*o**2 + 184515*o + 334575. Let p(n) = -2*g(n) + 45*u(n). Let p(i) = 0. What is i?
-39, -2
Suppose -7 + 13 = 2*b. Suppose -32*w**2 + 5*w**3 - 4*w**3 - 5*w**b + 12*w**4 - 16*w = 0. What is w?
-1, -2/3, 0, 2
Let t(h) be the third derivative of 289/12*h**3 + 1/120*h**5 + 16*h**2 + 0*h + 17/24*h**4 + 0. Let t(f) = 0. What is f?
-17
Suppose 16*z - 55*z = -13*z. Factor 0 - 1/2*j**2 + 5/6*j**3 + z*j.
j**2*(5*j - 3)/6
Factor 3776 + 24*n**2 - 3696 + 21*n**2 - 120*n - 5*n**3.
-5*(n - 4)**2*(n - 1)
Let z(v) be the second derivative of 6*v**3 - 2 + 54*v**2 + 2