*m + 177*m - 948 = -27*m. Solve -4/5*v**5 + 188/5*v**2 + 64*v - 256/5 + 68/5*v**4 - 316/5*v**m = 0.
-1, 1, 8
Let h = -1009 - -991. Let q be (h/30)/(27/(-90)). Factor 64/3 - 16*k + 4*k**q - 1/3*k**3.
-(k - 4)**3/3
Let d(n) = 3*n**3 - 2*n + 1. Let h be d(1). Factor 194 + 2*u**h + 2*u - 10*u - u**2 - 203.
(u - 9)*(u + 1)
Factor -1096/7*g - 75076/7 - 4/7*g**2.
-4*(g + 137)**2/7
Let u be 5/(20/16) - 1. Factor 7*w**u + 6*w**3 - 4*w - 16*w**3 + 4*w**3.
w*(w - 2)*(w + 2)
Let r(d) be the first derivative of d**6/6 - 4*d**5/5 - 3*d**4/4 + 34*d**3/3 - 26*d**2 + 24*d + 3591. Factor r(s).
(s - 2)**3*(s - 1)*(s + 3)
Let r be (2/3)/((-16)/(-504)). What is n in -10*n**3 + 6*n**4 + 21*n - r*n**3 - 12 - 41*n**5 + 44*n**5 + 7*n**3 + 6*n**2 = 0?
-4, -1, 1
Factor -12*b + 10/3*b**4 + 0 - 13/3*b**3 - 20*b**2 - 1/3*b**5.
-b*(b - 6)**2*(b + 1)**2/3
Suppose -16 = -4*o, 75*o - 70*o - 23 = -z. Let p(r) = 5 - 3 - 3 - r**2 + 5*r**3 + 3*r + 2. Let a(j) = -4*j**3 - 2*j. Let u(d) = z*p(d) + 4*a(d). Factor u(v).
-(v - 1)*(v + 1)*(v + 3)
Let a(s) = -3*s + 58. Let o be a(21). Let j(w) = -w**3 + w**2 + w + 1. Let m(z) = -2*z**3 + 2*z**2 - z + 5. Let u(g) = o*j(g) + m(g). Factor u(r).
3*r*(r - 2)*(r + 1)
Factor 1/6*z**2 - 13/2*z + 37/3.
(z - 37)*(z - 2)/6
Suppose 4*g - 11 - 15 = -5*x, 14 = 3*x + 2*g. Factor 9 + 8*a + a**x - 4 + 1 - 3*a.
(a + 2)*(a + 3)
Let z(c) be the first derivative of -1/6*c**3 + 9/2*c + 0*c**2 - 18. Determine x, given that z(x) = 0.
-3, 3
Let t(y) be the first derivative of -7*y**6/27 + 136*y**5/45 - 47*y**4/6 + 104*y**3/27 + 28*y**2/9 + 1306. Let t(p) = 0. What is p?
-2/7, 0, 1, 2, 7
Let k(d) be the second derivative of 0*d**2 - 2 + 2*d - 1/48*d**3 + 1/30*d**6 - 1/80*d**5 - 5/96*d**4. What is i in k(i) = 0?
-1/2, -1/4, 0, 1
Let p be ((-1130)/(-40))/(45/1520). Let m = p + -954. Factor 44/9*i - m*i**2 - 242/9.
-2*(i - 11)**2/9
Find j such that -1/4*j**2 + 267/2 + 175/4*j = 0.
-3, 178
Let f be 159740/2856 - 53 - (-12)/51. Find h such that 13*h**2 + f*h**3 - 70/3*h + 1/6*h**4 - 100/3 = 0.
-10, -1, 2
Let g(j) = -5*j**4 + 560*j**3 + 9*j**2 - 544*j. Let y(l) = 70*l**4 - 7840*l**3 - 125*l**2 + 7620*l. Let n(v) = 55*g(v) + 4*y(v). Let n(u) = 0. Calculate u.
-1, 0, 1, 112
Suppose -266 = -5*i + 94. Let 9 - 60*l**3 + 19*l**2 - 26*l + 13*l**2 - 29 + 2*l**2 + i*l = 0. Calculate l.
-5/6, 2/5, 1
Let j = 278208/2642615 - 2/139085. Factor -32/19*p + 128/19 + j*p**2.
2*(p - 8)**2/19
Let x(y) be the third derivative of y**5/90 - 17*y**4/4 - 310*y**3/9 + 712*y**2. Solve x(g) = 0 for g.
-2, 155
Let a be ((-1464)/(-9))/8 - 2/(-3). Let n be 6/(-7) + 60/a. Factor -3/2*y**n - 3*y - 3/2.
-3*(y + 1)**2/2
Let b(r) be the first derivative of -10*r - 3 + 11/3*r**4 + 0*r**2 + 4/3*r**3 + 9/5*r**5. Let h(a) be the first derivative of b(a). Solve h(p) = 0.
-1, -2/9, 0
Let s = -10 - -5. Let p(b) = b**3 + 3*b**5 + 5 - 43*b**3 + 40*b**3 - b**4. Let o(i) = i**4 - i**3 + 1. Let n(z) = s*o(z) + p(z). Factor n(f).
3*f**3*(f - 1)**2
Let q(a) = 12*a**2 + 57*a - 84. Let z(d) = 3*d**2 + 14*d - 20. Let l(b) = 5*q(b) - 21*z(b). Factor l(c).
-3*c*(c + 3)
Factor 0*w**3 + 53205*w - 53575*w - 440 - 104*w**2 + 19*w**2 - 5*w**3.
-5*(w + 2)*(w + 4)*(w + 11)
Let i = 136222 + -136222. Let x be (-154)/(-70) + (-1)/5. Determine k, given that i*k + 2/11 - 2/11*k**x = 0.
-1, 1
Let d(g) be the first derivative of 1/80*g**5 + 0*g**2 + 1/720*g**6 + 17/3*g**3 + 0*g - 1/12*g**4 + 15. Let l(n) be the third derivative of d(n). Factor l(h).
(h - 1)*(h + 4)/2
Let q be (-2)/(-4) + 183*(-3)/(-18). Suppose 4*c - 20 = -12. Factor -8 + o**3 + 2*o - q*o**2 - o**4 - 6*o + 37*o**c.
-(o - 2)**2*(o + 1)*(o + 2)
Let t(a) be the third derivative of a**7/1890 - 25*a**6/72 - 377*a**5/180 - 1133*a**4/216 - 7*a**3 + 7*a**2 - 3*a - 4. Solve t(w) = 0 for w.
-1, 378
Determine t, given that -2*t**4 + 3*t**2 - 11*t**4 + 7*t**3 - 1 + 12*t**4 - 13 - 19*t = 0.
-1, 2, 7
Let v be 80/(-32) - (-162)/4. Let s be -6*(-4)/(-24) + v/14. Factor -12/7*g - s - 3/7*g**2.
-3*(g + 2)**2/7
Factor -201*u + 200 - 286*u - 26*u**3 + 640*u**2 + 5*u**5 + 176*u - 304*u - 204*u**3.
5*(u - 5)*(u - 1)**3*(u + 8)
Let y be 42/(-6) + (-2098)/(-238). Let j = -9/17 + y. Solve -3/7*n**2 - 6/7 - j*n = 0 for n.
-2, -1
Let d be ((7 + -2)/55)/(6/99*9). Let y(h) be the second derivative of 3/2*h**2 - d*h**3 + 1/20*h**5 + 0 - 1/4*h**4 - 5*h. Factor y(p).
(p - 3)*(p - 1)*(p + 1)
Factor 9*h**3 + 116*h - 1/2*h**4 - 72 - 105/2*h**2.
-(h - 9)*(h - 4)**2*(h - 1)/2
Suppose 2*k + 5 = 4*k + 3*z, 0 = -3*k + 5*z + 17. Let 15*i**2 - 14*i**k - 14*i - 17*i**4 + 10*i**3 + 20 - 26*i + 26*i**4 = 0. What is i?
-2, 1, 2
Let w(v) be the third derivative of 1/48*v**5 + 0*v + 1/1344*v**8 + 0*v**3 - 1/840*v**7 - 1/48*v**4 - 1/160*v**6 + 0 + 36*v**2. Find x such that w(x) = 0.
-2, 0, 1
Let g(a) = -10*a**4 - a - 5. Let h(u) = -69*u**4 + 56*u**3 + 528*u**2 - 7*u - 35. Let b(t) = 35*g(t) - 5*h(t). Factor b(l).
-5*l**2*(l + 12)*(l + 44)
Factor -16/9*h**3 - 40/9*h - 44/9*h**2 - 4/3.
-4*(h + 1)**2*(4*h + 3)/9
Let y(n) = -2*n**2 + 41*n - 22. Let l be y(17). Factor 54*h - 5*h**3 - l*h - 60*h**2 + 43*h.
-5*h**2*(h + 12)
Factor 16/17*l**4 + 96/17*l**2 - 88/17*l**3 + 0*l + 2/17*l**5 + 0.
2*l**2*(l - 2)**2*(l + 12)/17
Let h(p) be the third derivative of p**8/2352 - 3*p**7/490 - 3*p**6/35 + 41*p**5/15 - 28*p**4 + 1056*p**3/7 - 3209*p**2. What is l in h(l) = 0?
-11, 4, 6
Suppose 5*h + 51 = 3*l, 14*h - 12*h = -4*l + 94. Let z(b) be the first derivative of -7/2*b**2 + l - 1/3*b**3 - 6*b. Solve z(y) = 0 for y.
-6, -1
Let a(z) = -8*z**4 - 5*z**3 - 14*z**2 - 24*z. Let t(l) = 5*l**4 + 3*l**3 + 14*l**2 + 24*l. Let j(u) = 2*a(u) + 3*t(u). Determine s, given that j(s) = 0.
-3, -2, 0, 4
Let s(f) be the first derivative of -3*f**3 - 165*f**2/8 + 75*f/4 + 353. Solve s(d) = 0 for d.
-5, 5/12
Let q(y) be the second derivative of 3*y**5/10 + y**4/6 - 4*y**3 - 4*y**2 - 742*y - 2. Find l such that q(l) = 0.
-2, -1/3, 2
Let l(r) be the third derivative of 0*r + 3 + 31/4*r**4 - 1/40*r**5 - 961*r**3 - 12*r**2. Determine t so that l(t) = 0.
62
Let s be ((-3)/570)/((-201)/92460). Determine u so that -6/19*u**2 - 28/19 + s*u = 0.
2/3, 7
Let c = 797 + -777. Factor -31*n**2 + 116*n**3 - c + 111*n**3 + 4 - 230*n**3 - 58*n.
-(n + 2)*(n + 8)*(3*n + 1)
Solve -32*i + 92/3*i**2 + 4/3 = 0.
1/23, 1
Let x(y) be the first derivative of -15/2*y**4 + 20 + 8*y**5 - 40/3*y**3 + 35/2*y**2 + 0*y - 5/6*y**6. What is i in x(i) = 0?
-1, 0, 1, 7
Let t(v) = -6*v**5 + 12*v**4 + 21*v**3 - 9*v. Let u be (-3)/(-6)*(7 - 5). Let m(k) = -k**5 + k**3 - k. Let n(p) = u*t(p) - 9*m(p). Factor n(o).
3*o**3*(o + 2)**2
Let q(i) be the third derivative of i**6/60 - 79*i**5/30 - 20*i**4/3 - 11429*i**2. Let q(w) = 0. What is w?
-1, 0, 80
Let s be (594/264)/((-30)/(-8)). Let n = s + -1/35. Determine c, given that 4/7*c**5 - 4/7*c**3 + 0 - n*c**4 + 0*c + 4/7*c**2 = 0.
-1, 0, 1
Let z(x) be the first derivative of -2*x**5/25 + 72*x**4/5 - 8446*x**3/15 - 71292*x**2/5 - 133848*x/5 - 6059. Let z(n) = 0. Calculate n.
-11, -1, 78
Let l(r) be the third derivative of -r**6/60 - 11*r**5/30 + 25*r**4/12 - 13*r**3/3 - 57*r**2 + 12. Let l(y) = 0. What is y?
-13, 1
Let o(v) = v**3 - 3*v**2 - 46*v + 138. Let g be o(3). What is j in 10/7*j**3 - 4*j**2 + 0*j + g + 2/7*j**4 = 0?
-7, 0, 2
Let m(a) = a**3 - a**2 - 3*a + 4. Let z be m(4). Let v be 34/(-289) - z/(-51). Solve 2/3 + 0*n**2 - 4/3*n**3 + 4/3*n - v*n**4 = 0.
-1, 1
Let m(g) be the third derivative of -1/160*g**5 - 41/64*g**4 - 2*g**2 - 5/2*g**3 + 0*g - 49. Find n, given that m(n) = 0.
-40, -1
Let s(k) be the second derivative of -8*k**2 - 13 + 1/3*k**3 + 4/3*k**4 - 1/10*k**5 + k. Let s(g) = 0. Calculate g.
-1, 1, 8
Let h(x) = -8*x**2 + 23*x + 28. Let w(y) = -y**2 - 3*y - 5. Let o(k) = k**2 + k + 2. Let r(j) = 2*o(j) + w(j). Let p(s) = -h(s) - 3*r(s). Factor p(m).
5*(m - 5)*(m + 1)
Let d be (-10 + 8)*(-3 + (-1)/(-2)). Let j(v) be the second derivative of 1/10*v**6 - 1/4*v**4 + 0*v**2 + 14*v + 3/2*v**3 + 0 - 9/20*v**d. Solve j(z) = 0.
-1, 0, 1, 3
Suppose 0 = 4*m + 4*x - x - 20, 0 = -4*m + x + 4. Suppose y - 2 + 12 = 3*j, m = j - y. Solve -10*b**2 + 5*b**4 + 20 + 60*b - 30 - j*b**3 - 11*b**3 - 30 = 0.
-2, 1, 2
Let i = 43 - 38. Suppose 4*a = -3*n + 106, 3*n + 0*n - i*a = 151. Solve 54*s**2 + n*s**2 + 5*s**4 - 20 - 81*s**2 + 20*s - 20*s**3 = 0 for s