mine b so that -2*b**3 + 2*b**3 - q*b**2 + 18*b**3 + 4*b + 0*b = 0.
0, 2/9, 1
Factor -3231*q**4 + 132*q - 4 + 6006*q**3 - 4613*q**4 - 37*q**2 - 1416*q**2 - 2387*q**4 + 1950*q**4.
-(7*q - 2)**2*(13*q - 1)**2
Factor 2/3*o**2 - 44/3*o + 48.
2*(o - 18)*(o - 4)/3
Solve 3/4*q**2 + 12 + 6*q = 0.
-4
Let f(z) be the third derivative of -z**6/40 + z**5/20 - 59*z**2. Factor f(n).
-3*n**2*(n - 1)
Let u(o) = 26*o**3 + 131*o**2 - 139*o - 18. Let i(c) = -c**2 - c + 2. Let s(v) = -3*i(v) + u(v). Determine n so that s(n) = 0.
-6, -2/13, 1
Let q = -26/2173 + -1258037/10865. Let l = q - -116. Factor 2/5 + a + 4/5*a**2 + l*a**3.
(a + 1)**2*(a + 2)/5
Let s(h) be the second derivative of 2*h**6/3 + 6*h**5 + 145*h**4/12 - 35*h**3/2 - 90*h**2 + 316*h. Let s(a) = 0. What is a?
-4, -3/2, 1
Let y(n) be the first derivative of -4*n**6/21 - 18*n**5/35 - 3*n**4/7 - 2*n**3/21 - 19. Solve y(b) = 0 for b.
-1, -1/4, 0
Let s(g) be the second derivative of 0 + 0*g**2 - 2/15*g**6 + 1/5*g**5 + 1/3*g**4 + 5*g - 2/3*g**3. Let s(c) = 0. What is c?
-1, 0, 1
Factor -6*w**2 - 33*w + 45*w + 2 + 4*w**2 - 2 - 10.
-2*(w - 5)*(w - 1)
Suppose 88/5*r - 262/5*r**2 + 182/5*r**3 - 8/5 = 0. What is r?
2/13, 2/7, 1
Let x(s) be the second derivative of s**6/10 + 3*s**5/5 + 3*s**4/4 - 2*s**3 - 6*s**2 + 3*s + 7. Find j, given that x(j) = 0.
-2, -1, 1
Let f be ((-3)/(-14))/(18/(-24)) + 5/7. Find b, given that 6/7*b + 3/7*b**4 + 0 - 9/7*b**3 - f*b**2 + 3/7*b**5 = 0.
-2, -1, 0, 1
Let u be 3 + 1/(-3 - -1). Let a(m) be the second derivative of -7/3*m**3 - 5*m + m**2 + u*m**4 + 0 - 9/10*m**5. Solve a(i) = 0 for i.
1/3, 1
Let u = 55681/13 - 4283. Factor -2/13 + u*w - 2/13*w**3 + 2/13*w**2.
-2*(w - 1)**2*(w + 1)/13
Let k be (-2)/4 + 6/27. Let d = k - -11/18. Factor 1/6*z - 1/6*z**2 + d.
-(z - 2)*(z + 1)/6
Let o(a) = -6*a - 1. Let b(c) = 11025*c**2 - 438*c + 1. Let j(g) = b(g) - 3*o(g). Factor j(f).
(105*f - 2)**2
Let n be (4634/(-357) + 13)*(29 + 1). Factor 6/17*d**3 + 0 + 4/17*d + n*d**2.
2*d*(d + 1)*(3*d + 2)/17
Let p(o) = 8*o**4 + 6*o**3 + 2*o**2 - 6*o - 4. Let y(v) = 15*v**4 + 11*v**3 + 3*v**2 - 11*v - 7. Let q(t) = 11*p(t) - 6*y(t). Factor q(b).
-2*(b - 1)**2*(b + 1)**2
Solve 21/4*h**2 - 1/4*h**4 - 2*h**3 - 5 + 2*h = 0 for h.
-10, -1, 1, 2
Let v = -1344 - -14810/11. Factor v*i**2 + 8/11 + 24/11*i + 2/11*i**4 + 12/11*i**3.
2*(i + 1)**2*(i + 2)**2/11
Let s(c) be the second derivative of c**6/900 + c**5/75 + c**4/15 - 14*c**3/3 - c**2/2 - 2*c - 23. Let p(i) be the second derivative of s(i). Factor p(j).
2*(j + 2)**2/5
Let g(o) be the first derivative of o**6/2 + 18*o**5/5 + 21*o**4/4 - 6*o**3 - 12*o**2 + 81. Determine r so that g(r) = 0.
-4, -2, -1, 0, 1
Let g(o) = -o**2 - 7*o + 13. Let d be g(-8). Suppose -2*x**d - 6*x**2 + 3*x**5 + 6*x**2 - x**3 = 0. What is x?
-1, 0, 1
Let d(l) be the first derivative of 338*l**3/21 + 156*l**2/7 + 72*l/7 + 148. Determine a, given that d(a) = 0.
-6/13
Let t(z) = -12*z**3 - 14*z**2 + 10*z + 14. Let j(y) = -y**4 + 13*y**3 + 15*y**2 - 11*y - 13. Let d(m) = -2*j(m) - 3*t(m). Factor d(k).
2*(k - 1)*(k + 2)**3
Let z(n) = -2*n**4 + 10*n**3 - 68*n**2 - 236*n - 140. Let f(x) = 3*x**4 - 19*x**3 + 136*x**2 + 467*x + 281. Let l(b) = 4*f(b) + 7*z(b). What is v in l(v) = 0?
-6, -2, -1, 6
Let m be (-2)/3 + 40/15. Factor -m*s**2 + 2*s - 13 + 27 + 2*s**4 - 14 - 2*s**3.
2*s*(s - 1)**2*(s + 1)
Let f(k) be the third derivative of 1/300*k**6 + 0*k - 3*k**2 + 0 + 0*k**3 + 1/60*k**4 + 1/75*k**5. Let f(v) = 0. Calculate v.
-1, 0
Let w(r) be the first derivative of 2/65*r**5 - 2/39*r**3 + 0*r + 0*r**4 + 0*r**2 - 3. Factor w(f).
2*f**2*(f - 1)*(f + 1)/13
Let c(x) be the first derivative of x**7/630 - x**6/90 - 2*x**2 + 10. Let p(u) be the second derivative of c(u). Determine a, given that p(a) = 0.
0, 4
Let b(a) = -4*a + 4*a**3 + 1 + 3*a**2 + a**2 + 3 + 0. Let z(m) = -m**4 + 3*m**3 + 5*m**2 - 5*m + 5. Let u(y) = 5*b(y) - 4*z(y). Factor u(s).
4*s**3*(s + 2)
Let q(o) be the first derivative of 2*o**6/21 - 3*o**5/7 - o**4/7 - 48. Suppose q(l) = 0. What is l?
-1/4, 0, 4
Let t(m) be the first derivative of 3/8*m**2 - 8 + 3/16*m**4 + 0*m + 1/2*m**3. Let t(d) = 0. Calculate d.
-1, 0
Suppose 144 = 5*g - g. Let k = g - 32. Factor 0 + 2/3*y**3 + 2/3*y**k - 2/3*y - 2/3*y**2.
2*y*(y - 1)*(y + 1)**2/3
Find s such that -12/5*s - 3/5*s**3 + 0 + 3*s**2 = 0.
0, 1, 4
Let z(q) = 2*q**3 + 2*q**2 + q + 2. Let n(d) = -11*d**3 - d**2 - 9*d - 7. Let h(o) = 3*n(o) + 12*z(o). Suppose h(a) = 0. What is a?
1/3, 1
Let a = 104 + -100. Solve -32*r + 2*r**4 + 7 + 3 + 24*r**2 + 2 - 6*r**a = 0 for r.
-3, 1
Let q(c) be the first derivative of -c**3 + 0*c - 1/4*c**4 - 14 - c**2. Factor q(h).
-h*(h + 1)*(h + 2)
Let h(b) be the second derivative of -b**4/12 - 72*b**3 - 23328*b**2 - 1094*b. Suppose h(r) = 0. What is r?
-216
Factor -3*c**2 + 4*c**2 + 2*c**2 - 1159 - 106*c - 2*c**2 + 3968.
(c - 53)**2
Let m(t) = t**2 + 2*t + 4. Suppose -11*y + 6*y = 0. Let i be m(y). Factor -1/3*g**2 - 1/3*g**i + 0 - 2/3*g**3 + 0*g.
-g**2*(g + 1)**2/3
Let x(u) be the first derivative of 5/12*u**4 - 2/15*u**5 - 4 + 4*u**2 + 1/60*u**6 - 2/3*u**3 + 0*u. Let s(y) be the second derivative of x(y). Factor s(i).
2*(i - 2)*(i - 1)**2
Let t(g) be the second derivative of -2*g**7/21 + 2*g**6/15 + 2*g**5/5 + 2*g + 25. Factor t(i).
-4*i**3*(i - 2)*(i + 1)
Suppose -11*y = -8*y - 6. Suppose -8*x + 2*x - x - 3*x**y - 8*x + 3*x**3 - 9 = 0. Calculate x.
-1, 3
Let k(b) be the third derivative of -b**8/336 - 3*b**7/70 - 29*b**6/120 - 43*b**5/60 - 5*b**4/4 - 4*b**3/3 - 48*b**2 - 3. Suppose k(j) = 0. What is j?
-4, -2, -1
Let t = 1 + 21. Suppose 6 - t = -4*k. Factor -l**k + 6*l**2 - 6 + 15*l - 15*l**2 - l**3 + 4*l**4 - 2*l**3.
3*(l - 1)**3*(l + 2)
Let h(u) = 19*u**4 - u**3 + 4*u**2 + 4. Let p be (-4)/16*((-4 - -1) + -1). Let f(r) = r**4 + r**3 + r**2 + 1. Let s(b) = p*h(b) - 4*f(b). Factor s(d).
5*d**3*(3*d - 1)
Let x(c) = -c**2 - 1. Let z(f) = 6*f**2 - 28*f + 30. Let v(y) = -4*x(y) - z(y). Suppose v(w) = 0. Calculate w.
1, 13
Let w be (-78)/234 + 59/15. Let j be (18/(-8))/(150/(-160)). What is d in j*d**4 - w*d - 28/5*d**3 + 32/5*d**2 - 2/5*d**5 + 4/5 = 0?
1, 2
Let g(s) be the second derivative of 1/5*s**5 + 1/15*s**6 + 0 - 1/63*s**7 - 7/3*s**3 - 3*s**2 + 10*s - 5/9*s**4. Factor g(k).
-2*(k - 3)**2*(k + 1)**3/3
Suppose 54/11*w**4 - 84/11*w**3 + 0 - 4/11*w + 34/11*w**2 = 0. What is w?
0, 2/9, 1/3, 1
Let u(f) be the second derivative of -f**7/420 + f**6/60 - f**5/50 + 43*f + 1. Find m such that u(m) = 0.
0, 1, 4
Let v(o) = o**3 + 7*o**2 - 8*o + 8. Let u be v(-8). Suppose -4*w + u = -2*w. Suppose -2*t**3 + 5*t**2 - 6*t**4 - w*t + 4*t**3 + 2*t**5 + t**2 = 0. What is t?
-1, 0, 1, 2
Let l(d) be the first derivative of -d**7/7 - 11*d**6/24 - d**5/3 + 5*d**4/24 - 6*d**2 + 4. Let c(b) be the second derivative of l(b). Solve c(v) = 0 for v.
-1, 0, 1/6
Let k(a) = 30*a + 1442. Let p be k(-48). Let -2/3*o**p + 0*o + 8/3 = 0. What is o?
-2, 2
Let o = 4/1113 + 1105/2226. Factor -1/6*f - o*f**2 - 1/2*f**3 - 1/6*f**4 + 0.
-f*(f + 1)**3/6
Let l(q) = -66*q + 264. Let m be l(4). Let w(u) be the third derivative of -1/42*u**4 - 1/21*u**3 + 0 + m*u + 3*u**2 - 1/105*u**6 + 1/30*u**5. Factor w(j).
-2*(j - 1)**2*(4*j + 1)/7
Solve 66*i**2 - 443 - 228*i + 659 + i**3 - 4*i**3 = 0 for i.
2, 18
Factor -40/11*j - 2/11*j**2 + 0.
-2*j*(j + 20)/11
Let g(w) be the first derivative of -3*w**4/16 + 27*w**2/8 - 168. Let g(d) = 0. What is d?
-3, 0, 3
Let w = 1 + 2. Factor -4*q + 16 - 5 + 4*q**2 - 10 + 4*q**w - 5.
4*(q - 1)*(q + 1)**2
Let o(d) be the first derivative of 0*d + 0*d**3 + 16 + 12/5*d**5 - 8/3*d**6 + d**4 + 0*d**2. Determine v so that o(v) = 0.
-1/4, 0, 1
Let x(i) = -5*i**4 + 4*i**3 - 2*i**2 - 1. Let y(b) = 3*b**2 - 19*b - 4*b**2 + b**4 + 20*b. Let s = -1 + -3. Let m(u) = s*y(u) - x(u). Factor m(k).
(k - 1)**4
Let f = 61 - 59. Let r(z) = 2*z**2 - 6*z - 6. Let l(t) = -t**3 + 4*t**2 - 11*t - 11. Let s(q) = f*l(q) - 5*r(q). Factor s(u).
-2*(u - 2)*(u + 1)*(u + 2)
Let v(m) be the first derivative of 0*m**3 + 0*m - 3/2*m**2 + 3/2*m**4 + 0*m**5 + 3 - 1/2*m**6. Find l, given that v(l) = 0.
-1, 0, 1
Let x(n) be the second derivative of -n**4/30 + 53*n**3/15 - 348*n. Factor x(i).
-2*i*(i - 53)/5
Let c(n) = n**4 + n**2 + n. Let k(b) = b**4 + 2*b**3 + 38*b**2 + 90*b + 64. Let j(w) = -10*c(w) + 5*k(w). Facto