**7 - 4*b**2 + 0 - 1/300*b**6 + 2/15*b**3 + 1/60*b**4 - 1/50*b**5 + 0*b. Factor z(j).
2*(j - 2)*(j - 1)*(j + 1)**2/5
Factor 2/3*q**4 + 58/9*q**3 - 50/9*q + 0 + 130/9*q**2.
2*q*(q + 5)**2*(3*q - 1)/9
Determine v, given that 1732*v**2 + 700/3*v**3 + 392/3 + 49/6*v**4 + 2800/3*v = 0.
-14, -2/7
What is k in 10/11*k - 1/11*k**2 + 39/11 = 0?
-3, 13
Let r be (-2 + 8 + -6)/(-1 - 0). Let j be 12*(5/60 + r). Solve -3/2*a + j + 1/2*a**2 = 0 for a.
1, 2
Determine r, given that -15*r - 12*r**3 - 14*r**2 + 14*r**3 - 21*r = 0.
-2, 0, 9
Suppose -3*h = 3*s + 3 - 15, -9 = -4*s + 3*h. Solve 5*p - 34*p**2 + 45*p**s - 20 + 115*p - 111*p**2 = 0.
2/9, 1, 2
Let m be 4/(-10) + (-85)/(-25). Suppose -o + 8 = m*o. Factor 55*g**3 + 12*g - 109*g**3 - 3*g**o + 51*g**3 + 12.
-3*(g - 2)*(g + 1)*(g + 2)
Let b be 2/36 + (-2546)/(-2412). Factor 0*r + 8/9*r**4 + b*r**3 + 0 + 2/9*r**2.
2*r**2*(r + 1)*(4*r + 1)/9
Let k(h) be the second derivative of -h**7/84 - h**6/30 + 3*h**5/40 + h**4/6 - h**3/3 + 2*h + 9. Factor k(p).
-p*(p - 1)**2*(p + 2)**2/2
Let g(z) = -z. Let b be g(-3). Suppose -b*j = 4 + 8. Let x(q) = -q**4 - 3*q**3 + 4*q + 2. Let k(m) = m**4 - 1. Let n(s) = j*k(s) - 2*x(s). Factor n(y).
-2*y*(y - 2)**2*(y + 1)
Let x = 84 - 64. Solve 3*d - 5*d**3 - 5*d**2 + 2 + 8*d + 17*d**2 - x*d = 0 for d.
2/5, 1
Let q(u) be the third derivative of u**5/90 - u**4/12 - 51*u**2. Determine o so that q(o) = 0.
0, 3
Let n = 7849/3 - 2616. Factor 2/3*b + 3*b**3 + n*b**5 + 0 + 7/3*b**2 + 5/3*b**4.
b*(b + 1)**3*(b + 2)/3
Suppose 2*x + 38 = 46. Factor x*n**2 - n**2 + 12 - 3*n**3 + 12*n - 6*n**2.
-3*(n - 2)*(n + 1)*(n + 2)
Determine b, given that 55476*b**2 + 2410381 - 812*b**3 - 281609*b**4 - 4277 - 1310788*b + 281613*b**4 = 0.
2, 67
Let q(p) be the third derivative of 0*p - 11*p**2 + 0 - 4/21*p**3 + 1/14*p**4 - 1/105*p**5. Find b, given that q(b) = 0.
1, 2
Let t(w) be the third derivative of w**5/80 + 17*w**4/16 + 2*w**2 + 31. What is r in t(r) = 0?
-34, 0
Let h(k) = -6*k + 20. Let v(a) = -a**3 + 15*a**2 - 27*a + 16. Let d be v(13). Let b be h(d). Factor 5/6*u - 1/2*u**b - 1/3.
-(u - 1)*(3*u - 2)/6
Let b(d) = -8*d**3 - 12*d**2 - 7*d + 3. Let r(i) = -9*i**3 - 11*i**2 - 6*i + 4. Suppose -36*x = -39*x - 12. Let g(o) = x*b(o) + 3*r(o). Let g(j) = 0. What is j?
-2, -1, 0
Let y = -26 - -30. Determine u, given that y*u**2 - 196*u**4 + 98*u**4 - 8*u**3 + 94*u**4 + 8*u = 0.
-2, -1, 0, 1
Suppose 13*i = 6*i + 175. Suppose -5*q + 19 = -2*h, q + i = 5*h + 3*q. Let 0 + 2/13*n - 10/13*n**h + 8/13*n**5 + 6/13*n**2 - 6/13*n**4 = 0. What is n?
-1, -1/4, 0, 1
Suppose 22*d - 30 = 17*d. Let r(k) be the third derivative of 0*k**3 - 1/40*k**d - 1/24*k**4 + 0 - 1/15*k**5 + 0*k + 3*k**2. Factor r(g).
-g*(g + 1)*(3*g + 1)
Let j be 2/7 - 1500/(-42). Suppose -48 - 5*b**2 + j - 233 - 70*b = 0. What is b?
-7
Suppose -24 = 3*g - 5*h, 3*g - 3*h + 8 = 2*g. Let v be 3 - (100/16 + g/2). Determine b, given that 0 + v*b**2 + 9/2*b**5 - 21/4*b**4 + 0*b**3 + 0*b = 0.
-1/3, 0, 1/2, 1
Suppose 0 = 3*l - 3, 23*l + 5 = i + 22*l. Let f(t) be the first derivative of -1/4*t**2 + 1/3*t + 1/18*t**3 + i. Solve f(z) = 0.
1, 2
Let k(c) = c**2 + c. Let d(n) = 8*n**2 + 13*n. Suppose 0*s - 4 = 4*s. Let z(o) = s*d(o) + 3*k(o). Factor z(t).
-5*t*(t + 2)
Let f(h) be the second derivative of -5*h**7/399 + 4*h**6/95 + 11*h**5/190 - 23*h**4/57 + 12*h**3/19 - 8*h**2/19 - 75*h. Find q such that f(q) = 0.
-2, 2/5, 1, 2
Let t(f) be the first derivative of 12*f**3 - 80*f + 13. Let k(x) = 7*x**2 - 16. Let q(i) = 16*k(i) - 3*t(i). Suppose q(m) = 0. What is m?
-2, 2
Suppose n + 4 = 3*r, -506*r = -503*r + n + 4. Factor r*c**2 - 1/10*c**5 - 1/10*c + 0 + 0*c**4 + 1/5*c**3.
-c*(c - 1)**2*(c + 1)**2/10
Let m(j) be the second derivative of j**7/840 - j**6/40 + 9*j**5/40 - 9*j**4/8 + j**3/2 - 9*j. Let o(y) be the second derivative of m(y). Factor o(q).
(q - 3)**3
Suppose 2*b - 2*k = -110, -k + 283 = -5*b - 4*k. Let w = b - -394/7. Factor 2/7*t**2 - w*t - 2/7 + 2/7*t**3.
2*(t - 1)*(t + 1)**2/7
Let p(d) be the first derivative of 11 + 5/8*d**2 + 1/12*d**3 + d. Factor p(s).
(s + 1)*(s + 4)/4
Let g = 44 - 36. Let m be (4/g)/(1/3). Factor -m*u**2 + 1/2*u**3 + 0 + u.
u*(u - 2)*(u - 1)/2
Let c be 2/(-4)*111/(-444). Let q + 1/2 + 5/8*q**2 + c*q**3 = 0. Calculate q.
-2, -1
Let o be (-3840)/(-1840) + ((-132)/(-69) - 2). Let 2*n**4 - 10/7*n**3 - 4/7*n**o + 0 + 0*n = 0. What is n?
-2/7, 0, 1
Let y = 7291/9 - 7195/9. Factor 0 - 22*b**3 - 2/3*b**5 - 80/3*b**2 - y*b - 20/3*b**4.
-2*b*(b + 1)**2*(b + 4)**2/3
What is i in 6*i**5 + 5*i**3 - 119*i**4 + 250*i**4 - 121*i**4 + i**5 - 2*i**5 = 0?
-1, 0
Let p(g) be the second derivative of 19*g**4/6 - 112*g**3/9 - 4*g**2/3 + 88*g - 2. Find x such that p(x) = 0.
-2/57, 2
What is i in -2 + 3*i - 1069*i**2 + 534*i**2 + 534*i**2 = 0?
1, 2
Let s(k) be the first derivative of 2*k**5/5 + 11*k**4 + 82*k**3/3 + 20*k**2 + 10. Let s(c) = 0. What is c?
-20, -1, 0
Let b(m) be the first derivative of -m**6/30 - 2*m**5/5 - 3*m**4/2 + 27*m**2/2 + 15*m - 16. Let y(n) be the first derivative of b(n). Factor y(k).
-(k - 1)*(k + 3)**3
Let b(h) be the third derivative of -h**6/160 - h**5/24 - 11*h**4/96 - h**3/6 + 26*h**2 - 5*h. Factor b(g).
-(g + 1)**2*(3*g + 4)/4
Let l(i) be the third derivative of i**7/70 + i**6/8 + 2*i**5/5 + i**4/2 + 310*i**2. Factor l(k).
3*k*(k + 1)*(k + 2)**2
Let h(j) = 2*j**4 - 34*j**3 + 11*j**2 + 7. Let w(g) = g**4 - 23*g**3 + 7*g**2 + 5. Let d = 20 + -15. Let s(l) = d*h(l) - 7*w(l). Factor s(y).
3*y**2*(y - 2)*(y - 1)
Let h be ((-20)/170)/((-207)/51 - -4). Let w(f) be the first derivative of -3 - 4/3*f - 1/3*f**h + 2/9*f**3. Suppose w(r) = 0. What is r?
-1, 2
Let u = -13 - -15. Let y be (4 - (-66)/(-12)) + u. Factor -y*j**2 + 0 - j.
-j*(j + 2)/2
Let b(g) be the second derivative of -g**4/54 - 4*g**3/27 + 243*g. Let b(u) = 0. Calculate u.
-4, 0
Let h = 115257/5 - 23049. Find n, given that -h*n + 3/5*n**2 - 3 = 0.
-1, 5
Let k(q) be the third derivative of -2/3*q**3 - 11*q**2 + 0 - 1/60*q**5 + 1/6*q**4 + 0*q. Find a such that k(a) = 0.
2
Solve 24*t + 1/2*t**3 + 10*t**2 - 288 = 0 for t.
-12, 4
Factor 0 + 0*i + 3/2*i**3 + 0*i**4 - i**2 - 1/2*i**5.
-i**2*(i - 1)**2*(i + 2)/2
Let l(j) = -14*j**2 + 191*j + 46. Let x(s) = -57*s**2 + 765*s + 183. Let i(r) = 9*l(r) - 2*x(r). What is o in i(o) = 0?
-1/4, 16
Let b(p) be the second derivative of p**6/24 + p**5/12 - 2*p**3 - 25*p. Let w(t) be the second derivative of b(t). Find c, given that w(c) = 0.
-2/3, 0
Solve 16*n**2 - 6*n - 11*n - 67*n - 13*n**2 + 90 + 33*n = 0.
2, 15
Let u(d) be the third derivative of -5*d**9/12096 + d**7/672 - 4*d**3/3 - 5*d**2. Let z(i) be the first derivative of u(i). Determine b, given that z(b) = 0.
-1, 0, 1
Let o be (-2)/2 - (-12 - -8). Factor o*y - 3/8*y**4 + 3/2 + 3/8*y**5 + 3/8*y**2 - 15/8*y**3.
3*(y - 2)**2*(y + 1)**3/8
Let u(g) = g**2 - 11*g + 5. Let d(x) = -x + 20. Let l be d(9). Let z be u(l). Determine i so that -1/2*i**2 + 0*i + 0 + 1/2*i**4 + 1/2*i**z - 1/2*i**3 = 0.
-1, 0, 1
Factor 5/7*r + 1/7*r**3 - 4/7*r**2 - 2/7.
(r - 2)*(r - 1)**2/7
Let u(q) be the third derivative of 0*q**4 + 28*q**2 + 1/840*q**8 + 0*q**3 + 1/175*q**7 + 0 - 2/75*q**5 + 0*q**6 + 0*q. Solve u(v) = 0.
-2, 0, 1
Let a(y) be the first derivative of -y**5/10 + 2*y**4/3 - 5*y**3/3 + 2*y**2 - 6*y - 7. Let p(q) be the first derivative of a(q). Solve p(j) = 0 for j.
1, 2
Suppose -8*f - 3*f - 71 = -93. Solve 4 - 1/4*m**4 + 0*m**f + 4*m - m**3 = 0.
-2, 2
Let k = -1406 + 4219/3. Solve -2/3*s**2 + 1/3*s**4 + 0*s + k + 0*s**3 = 0.
-1, 1
Suppose 11*p - 28 = 4*p. Find z, given that 12*z - 4*z**3 - 20*z**2 + 6*z**4 - p*z**2 + 3*z + z = 0.
-2, 0, 2/3, 2
Let z(v) be the second derivative of v**6/120 - v**4/6 + 5*v**2/2 + 18*v. Let k(w) be the first derivative of z(w). Factor k(m).
m*(m - 2)*(m + 2)
Let f(m) be the second derivative of -m**5/510 + m**4/204 + 7*m**2 - 17*m. Let p(g) be the first derivative of f(g). Solve p(t) = 0 for t.
0, 1
Let a(s) = 2*s - 17. Let c be a(10). Suppose -4*o + 22 = -5*w, 2*o + w = -c*o + 13. Factor -10*n**2 - 9*n**4 - n**4 + 4*n + 18*n**o - 4*n**2 + 2*n**5 + 0*n**4.
2*n*(n - 2)*(n - 1)**3
Let g be (14/4 + -1)*2/5. Factor g + 3*o**3 + o - o**2 - 7*o**3 + 2*o**3 + o**3.
-(o - 1)*(o + 1)**2
Let l(g) = g**2 + 19*g + 92. Let j be l(-8). Let v(k) be the first derivative of 0*k -