9 = 0, 5*s + 15 = 5*a - 0*a. Let n be (-1)/a - 2*(-15)/24. Determine z so that 0*z**4 - 1/4*z - n*z**5 + 0*z**2 + 1/2*z**3 + 0 = 0.
-1, 0, 1
Let u(k) = 47*k**2 + 1164*k - 2439. Let g(n) = 9*n**2 + 233*n - 488. Let x(d) = 11*g(d) - 2*u(d). Let x(l) = 0. Calculate l.
-49, 2
Factor 0 + 0*a - 7*a**2 - 9*a**3 - 1/7*a**5 - 15/7*a**4.
-a**2*(a + 1)*(a + 7)**2/7
Let w = -2/103 + 523/412. Let j(f) be the second derivative of -3/2*f**2 + 0 + 7/8*f**4 + 2*f - w*f**3. Find g such that j(g) = 0.
-2/7, 1
Let h(b) be the second derivative of -b**7/3780 + b**6/1800 + b**5/450 - b**4/6 - b**2/2 - 29*b. Let y(v) be the third derivative of h(v). Factor y(n).
-2*(n - 1)*(5*n + 2)/15
Let a(j) = j - 4. Let i be a(7). Suppose -5*p = -i*p - 4. Let 1 + 25*n**2 + n - 21*n + p + 1 = 0. What is n?
2/5
Let j(q) be the second derivative of -q**7/1260 - q**6/360 - q**4/2 - 7*q. Let y(o) be the third derivative of j(o). Suppose y(c) = 0. What is c?
-1, 0
Let z(x) be the first derivative of -x**6/660 - x**5/330 + x**4/132 + x**3/33 + x**2 + 1. Let g(v) be the second derivative of z(v). Factor g(u).
-2*(u - 1)*(u + 1)**2/11
Let i(f) be the third derivative of -f**7/210 + f**6/60 + f**5/60 - f**4/12 + 24*f**2 + 5*f. Determine y so that i(y) = 0.
-1, 0, 1, 2
Let k be -2*(-11 - 2394/(-224)). Factor -1/8*p**4 + 0 + 0*p + 1/8*p**5 - k*p**3 - 3/8*p**2.
p**2*(p - 3)*(p + 1)**2/8
Let t(j) be the first derivative of j**5/110 - j**4/66 + 11*j - 9. Let n(o) be the first derivative of t(o). Factor n(i).
2*i**2*(i - 1)/11
Let x(u) be the first derivative of -2*u**2 - 4*u + 17/3*u**3 + 5/6*u**6 + 35/4*u**4 + 23/5*u**5 - 16. Factor x(m).
(m + 1)**3*(m + 2)*(5*m - 2)
Suppose 2*m - 3*w + 0*w - 7 = 0, 2*w + 2 = 0. Factor 2 + 3*i**2 + 5 + m - 12.
3*(i - 1)*(i + 1)
Let z = -23 - -34. Let n be z/4 + (-7)/(-28). Factor b + 0 - 7/2*b**4 + 7/2*b**2 - b**n.
-b*(b - 1)*(b + 1)*(7*b + 2)/2
Let s(h) be the second derivative of -h**4/120 + 151*h**3/30 - 22801*h**2/20 - 100*h. Let s(g) = 0. Calculate g.
151
Find g such that -61*g**5 + 113*g**5 - 55*g**5 - 9*g**4 = 0.
-3, 0
Find g such that -1008*g**4 - 76 - 3932*g**2 + 1234*g**2 - 87 - 81*g**5 - 1980*g - 3020*g**2 - 37 - 4081*g**3 = 0.
-5, -2, -2/9
Factor -20*z**4 + 54*z**4 - 80*z**5 + 1768*z**2 + 364*z - 393*z**3 + 79*z**5 - 3068*z.
-z*(z - 13)**2*(z - 4)**2
Suppose 28*m = -64 + 120. Factor -1/4*b**3 - 1/4*b**m + 1/4*b + 1/4.
-(b - 1)*(b + 1)**2/4
Factor 0 + 0*w - 12/17*w**2 + 10/17*w**3 + 2/17*w**4.
2*w**2*(w - 1)*(w + 6)/17
Let i(c) be the first derivative of -3*c**5/50 - c**4/5 + c**3/6 + 3*c**2/10 + 141. Solve i(f) = 0 for f.
-3, -2/3, 0, 1
Suppose 0 = 3*o + 5*p - 22, -3*o + 4*p = -6*o + 20. Suppose 0 = 8*n - 16*n + 16. Find v, given that 2*v**o - v**4 - 4*v**4 + 0*v**n + 3*v**2 = 0.
-1, 0, 1
Suppose 6 + 12 = 6*g. Determine b so that -g*b - 4*b**3 + 31*b + 8*b**3 + 20*b**2 + 22 - 10 = 0.
-3, -1
Let c be (-2 - 40/(-4)) + -4. Factor 2*l**2 + 13*l**2 - 5*l**c - 10*l**2.
-5*l**2*(l - 1)*(l + 1)
Let a be 0 + 4 - (-16)/(-8). Determine g so that -7*g**2 + 85*g**2 - 54*g - 24*g**2 - 18*g**3 + a*g**4 + 0*g**4 = 0.
0, 3
Let x(f) be the first derivative of 4 + 1/18*f**4 + 25/3*f**2 - 2*f + 10/9*f**3. Let y(h) be the first derivative of x(h). Let y(c) = 0. What is c?
-5
Let j be (2 - 0/1)*(-25 + 44). Factor -41*u**2 - u + 82*u**2 - 5*u - j*u**2.
3*u*(u - 2)
Let c = -703/26 + -58/13. Let i = c + 32. Suppose 1/2*a - 1 + i*a**2 = 0. Calculate a.
-2, 1
Let y(v) = 6*v**4 - 142*v**3 + 642*v**2 - 850*v + 352. Let f(p) = 2*p**4 - 47*p**3 + 214*p**2 - 283*p + 117. Let j(n) = -8*f(n) + 3*y(n). Factor j(d).
2*(d - 20)*(d - 3)*(d - 1)**2
Factor 1/4*q**2 + 0 + 13/2*q.
q*(q + 26)/4
Suppose 39 = 2*q - 19. Factor q*d**3 + 5*d + 5*d**5 + 6*d**3 + 20*d**2 - 5*d**3 + 20*d**4.
5*d*(d + 1)**4
Let v = 25 - 20. Suppose 5*a + 4 = v*u + 24, -u + 5*a = 20. Find q such that -2/7*q - 15/7*q**3 + u - 11/7*q**4 - 3/7*q**5 - 9/7*q**2 = 0.
-1, -2/3, 0
Suppose -x - 4*x = -25. Factor -3 - 3*f**5 + 2*f**x + f**3 + 3.
-f**3*(f - 1)*(f + 1)
Let p(s) be the second derivative of -s**4/20 - 197*s**3/10 + 297*s**2/5 + 2*s - 374. Let p(u) = 0. What is u?
-198, 1
Let j(l) be the first derivative of 5*l**6/18 + 53*l**5/15 + 155*l**4/12 + 25*l**3/3 - 135. Find o such that j(o) = 0.
-5, -3/5, 0
Let a(n) be the third derivative of n**6/24 - n**5/3 - 55*n**4/24 - 5*n**3 + 66*n**2. Let a(s) = 0. Calculate s.
-1, 6
Suppose 41 = 23*h - 28. Factor -9/2*c**h + 0 + 9/2*c - 3/2*c**2 + 3/2*c**4.
3*c*(c - 3)*(c - 1)*(c + 1)/2
Let w(c) be the first derivative of -2*c**5/35 + c**4/2 + 76. Suppose w(s) = 0. Calculate s.
0, 7
Let h(u) be the second derivative of u**6/960 - u**5/480 - 23*u**2 - 28*u. Let v(y) be the first derivative of h(y). Find k such that v(k) = 0.
0, 1
Let t(g) be the first derivative of -g**6/11 + 8*g**5/11 - 39*g**4/22 + 20*g**3/11 - 8*g**2/11 + 50. Let t(r) = 0. Calculate r.
0, 2/3, 1, 4
Let j(m) be the third derivative of m**8/2240 - m**7/280 + m**5/10 + m**4/12 + 17*m**2. Let s(k) be the second derivative of j(k). Solve s(x) = 0.
-1, 2
Let m(q) = -q**4 - 4*q**3 - 6*q. Let j = -15 - -32. Let f(x) = 3*x**4 + 11*x**3 + 17*x. Let l(c) = j*m(c) + 6*f(c). Factor l(p).
p**3*(p - 2)
Let q = -733 + 733. Let -1/2*i**3 + 2*i**4 + 0 + 0*i**2 + q*i = 0. What is i?
0, 1/4
Let k(p) be the third derivative of 9*p**2 - 1/12*p**5 + 0 + 1/6*p**4 + 1/60*p**6 + 0*p - 1/6*p**3. Find w such that k(w) = 0.
1/2, 1
Solve -2/7*g**5 + 54/7 - 50/7*g**4 - 106/7*g - 4/7*g**2 + 108/7*g**3 = 0.
-27, -1, 1
Factor 9*i**3 - 9*i**3 - 2*i**4 + i**4 + 0*i**4.
-i**4
Suppose 0 = 3*g, -2*g + 19 = 5*c + 4. Suppose c*a - 7*a = -8. What is t in 0*t**a - 9/5*t + 3/5*t**3 + 6/5 = 0?
-2, 1
Factor -41472/7 - 5184/7*i - 216/7*i**2 - 3/7*i**3.
-3*(i + 24)**3/7
Let s(w) be the second derivative of -w**5/14 - 31*w**4/21 + 116*w**3/21 + 8*w**2 + 231*w. Solve s(h) = 0 for h.
-14, -2/5, 2
Let h(f) be the second derivative of 1/9*f**4 + 2/9*f**6 - 46*f - 4/63*f**7 - 4/15*f**5 + 0*f**3 + 0 + 0*f**2. Determine s, given that h(s) = 0.
0, 1/2, 1
Solve 308/3 - 4/3*l**2 + 16/3*l = 0 for l.
-7, 11
Let s(w) be the third derivative of w**6/80 - 7*w**5/40 - 392*w**2. Suppose s(f) = 0. Calculate f.
0, 7
Let f(j) be the third derivative of -j**7/840 + j**6/40 - j**5/8 + 7*j**4/24 - 3*j**3/8 + 94*j**2. What is k in f(k) = 0?
1, 9
Let h(g) = -g**5 + g**4 + g**3 + 4*g. Let k(u) = 4*u**5 + 16*u**4 + 50*u**3 + 68*u**2 + 34*u + 10. Let a(f) = 4*h(f) + 2*k(f). Suppose a(w) = 0. What is w?
-5, -1
Suppose -8*b + 8 = -4*b. Suppose b*m + 3*g - 55 = 0, 0 = 5*m + 5*g - 120 - 15. Factor -8 - 14*s - 3*s**2 - s**2 + m*s.
-4*(s - 2)*(s - 1)
Suppose 69*o = 88*o. Let s(z) be the third derivative of 0 + 0*z**3 + o*z**4 - 12*z**2 + 1/20*z**5 + 1/35*z**7 - 3/40*z**6 + 0*z. Factor s(v).
3*v**2*(v - 1)*(2*v - 1)
Let d(r) = -r**4 + 10*r**3 - 11*r**2 - r - 3. Let y(w) = w**4 + 8*w**3 - 11*w**2 - 2*w - 4. Let v(n) = 4*d(n) - 3*y(n). Factor v(j).
-j*(j - 1)**2*(7*j - 2)
Suppose 3/2*p**5 + 15/2*p - 9 - 9*p**3 - 3*p**4 + 12*p**2 = 0. Calculate p.
-2, -1, 1, 3
Suppose -15*g = -14*g - 14*g. Let 9/4*r**4 - 9/4*r**3 - 3/4*r**5 + g + 0*r + 3/4*r**2 = 0. What is r?
0, 1
Let r be (30 + 0 - 2)*89/10. Let g = -248 + r. Factor -32/5*s**2 - g + 8/5*s**3 + 26/5*s.
2*(s - 3)*(2*s - 1)**2/5
Let g = 104 + -79. Factor -36*f**2 + g*f**3 - 12*f - 6*f**3 + 28*f + 5*f**3 - 5*f**4.
-f*(f - 2)**2*(5*f - 4)
Factor -124/5 - 24*d - 27/5*d**2 + 1/5*d**3.
(d - 31)*(d + 2)**2/5
Let f be -4 + (2 - (3 + 289/(-1))). Let o = 288 - f. Factor 2/9*k**o + 4/3*k**2 - 8/9*k**3 + 2/9 - 8/9*k.
2*(k - 1)**4/9
Let k(s) be the first derivative of s**4/6 - 4*s**3/9 - 13*s**2/3 - 20*s/3 + 469. Let k(q) = 0. What is q?
-2, -1, 5
Let w(b) = -b + 1. Let i be w(-1). Factor 72*p + 9*p**i + 328 - 5*p**2 - 4.
4*(p + 9)**2
Let o = 18 - 359/20. Let i(p) be the first derivative of 0*p - 5 - 4/15*p**3 - o*p**4 - 2/5*p**2. Factor i(x).
-x*(x + 2)**2/5
Let b(h) be the second derivative of 15*h - 7/12*h**3 - 3/40*h**5 - h**2 + 0 + 7/12*h**4. Factor b(d).
-(d - 4)*(d - 1)*(3*d + 1)/2
Let x(q) be the first derivative of -5*q**5 - 8*q**4 - 3*q**3 + 5*q**2 + 21. Let o(g) = -g**4 + g**3 + g. Let i(p) = -4*o(p) + x(p). What is t in i(t) = 0?
-1, 0, 2/7
Let l(h) = -12*h**5 - 44*h**4 + 64*h**3 + 430*h**2 - 306*h + 6. Let y(m) = m**5 + m**4 - m**3 + m - 1. 