 = -y**2 - 6. Let c(k) = b(k) + 4*f(k). Factor c(g).
2*(g + 267)*(3*g - 2)
Solve -33200*o + 18430*o**2 - 1/4*o**5 + 16000 + 61/2*o**4 - 5041/4*o**3 = 0.
1, 40
Let f = 68 - 63. Factor 3300*v**4 + 2*v**f - 256*v**2 - 91*v**3 - 174*v - 3336*v**4 - 44 - 73*v**3.
2*(v - 22)*(v + 1)**4
Let z(c) = c**5 - c**2 - 4*c + 1. Let f(h) = 9*h**5 - 3*h**4 - 60*h**3 + 54*h**2 + 168*h - 186. Let w(t) = -f(t) + 6*z(t). Solve w(x) = 0.
-4, -2, 1, 2, 4
Let k = -12496 + 74977/6. Let v(t) be the second derivative of -1/63*t**7 + 0*t**2 + 0*t**3 + k*t**4 + 1/9*t**6 - 21*t - 7/30*t**5 + 0. Factor v(r).
-2*r**2*(r - 3)*(r - 1)**2/3
Let f = -539325/7 + 77051. Let x be -1 - -1 - 36/(-21). Factor -2/7*l**5 - 18/7*l - 4*l**3 - x*l**4 - f*l**2 - 4/7.
-2*(l + 1)**4*(l + 2)/7
Let r(p) be the second derivative of 82*p + 0*p**3 - 1/20*p**5 - 1/126*p**7 + 1 + 1/36*p**4 + 0*p**2 + 1/30*p**6. Suppose r(t) = 0. Calculate t.
0, 1
Determine v so that 36*v + 1194*v**2 - 1194*v**2 - 10*v**4 + 34*v**3 - 59*v**3 - v**5 = 0.
-6, -3, -2, 0, 1
Let c(w) = 2*w**4 + w**3 - 2*w**2 + 3*w. Let g(z) = -13*z**4 - 49*z**3 - 74*z**2 - 21*z. Let l(t) = 28*c(t) + 4*g(t). Factor l(r).
4*r**2*(r - 44)*(r + 2)
Solve -42889*b**4 + 12*b**2 + 5*b**5 + 72*b - 40*b**3 + 13*b**3 - 43*b**3 + 42870*b**4 = 0 for b.
-2, -6/5, 0, 1, 6
Let d(k) be the third derivative of 4/3*k**5 + 25/6*k**4 + 129*k**2 + 1/24*k**6 + 1 + 0*k**3 - 1/42*k**7 + 0*k. Suppose d(t) = 0. Calculate t.
-2, 0, 5
Suppose z + 24 = -2*z, s = -2*s - 3*z - 15. Factor -8/11*c + 7/11*c**4 - 28/11*c**2 + 0 + 2/11*c**s.
c*(c - 2)*(c + 2)*(7*c + 2)/11
Let u(m) be the second derivative of 1/24*m**4 - 1/84*m**7 - 2*m + 1/40*m**5 + 0*m**3 - 1/60*m**6 + 0 + 0*m**2. Let u(y) = 0. What is y?
-1, 0, 1
Find o, given that 1/5*o**4 + 0 - 8/5*o - 1/5*o**2 + 8/5*o**3 = 0.
-8, -1, 0, 1
Let j(z) = 4*z**2 - 458*z - 458. Let x(w) = 17*w**2 - 1832*w - 1831. Let p(b) = 18*j(b) - 4*x(b). Suppose p(g) = 0. Calculate g.
-1, 230
Solve -46*t**3 - 4*t**5 - 106/3*t**4 + 134/3*t**2 + 50*t - 28/3 = 0.
-7, -2, -1, 1/6, 1
Let k be (-454)/(-24) + 10527/(-522) + 20. Solve 0*l - 3*l**2 + k*l**5 - 12*l**3 - 15/4*l**4 + 0 = 0 for l.
-2/5, 0, 1
Let r(a) be the second derivative of -3/10*a**5 + 3*a**2 - 1/5*a**6 + 2*a**4 + 0 + 1/14*a**7 - 52*a - 7/2*a**3. Factor r(t).
3*(t - 1)**4*(t + 2)
Let h(i) be the third derivative of 0*i + 1/105*i**5 + 0 + 151*i**2 + 1/7*i**4 + 0*i**3 - 2/147*i**7 - 13/210*i**6 + 1/196*i**8. Find n such that h(n) = 0.
-1, 0, 2/3, 3
Let x(i) be the second derivative of i**7/7560 + i**6/540 + i**4/6 - 2*i**2 + 24*i. Let c(t) be the third derivative of x(t). Solve c(d) = 0 for d.
-4, 0
Factor -1/6*u**2 - 2888/3 - 76/3*u.
-(u + 76)**2/6
Solve 192511*y**3 + 3*y**4 - 96261*y**3 - 96256*y**3 - 72*y**2 = 0 for y.
-4, 0, 6
Solve -1/3*r**2 + 136 + 98/3*r = 0 for r.
-4, 102
Let x = -53 + 73. Let l be (2 - x)*4/(-6). Factor -11*f - 20 + 15*f**3 - 16*f + l*f - 5*f**4 + 25*f**2.
-5*(f - 4)*(f - 1)*(f + 1)**2
Let n be (-6)/(24/(-44)) - ((-1298)/(-77))/2. Factor 0 - n*g**3 + 2/7*g**4 - 32/7*g + 48/7*g**2.
2*g*(g - 4)**2*(g - 1)/7
Let x(b) be the first derivative of 2*b**6/3 - 24*b**5/5 + 13*b**4 - 16*b**3 + 8*b**2 + 874. Factor x(d).
4*d*(d - 2)**2*(d - 1)**2
Let i be 6/((1104/150)/(-8) - -1). Let b = i - 149/2. Solve -b*q + 1/2*q**3 + 0*q**2 + 0 = 0.
-1, 0, 1
Let j be 4 - 4/18*(-49)/84*-27. Factor -1/3*v**3 + j*v + 1/3*v**2 - 1/6*v**5 - 1/2*v**4 + 1/6.
-(v - 1)*(v + 1)**4/6
Let j be 48/10 + 336/280. Let s be (j/54 + 10/45)*0. Factor -2/15*u**4 - 2/15*u**2 + s + 4/15*u**3 + 0*u.
-2*u**2*(u - 1)**2/15
Let g(l) be the first derivative of -l**8/1890 - l**7/3780 - 55*l**3/3 - l + 107. Let y(j) be the third derivative of g(j). Find t such that y(t) = 0.
-1/4, 0
Let c(w) = -2*w**4 + 78*w**3 + 526*w**2 + 480*w. Let k(t) = -6*t**4 + 156*t**3 + 1037*t**2 + 960*t. Let v(b) = -10*c(b) + 4*k(b). Factor v(i).
-4*i*(i + 1)*(i + 8)*(i + 30)
Suppose -4*y - h = -56, -5*h + 25 = 3*y - 0*y. Solve -16 - 12*q**2 + 47*q - y*q - 2413*q**4 + 2417*q**4 - 8*q**3 = 0 for q.
-2, 1, 2
Let y = -445 + 452. Suppose -y*p - 2*p + 27 = 0. Find j, given that 2/9*j**2 + 0*j + 2/9*j**p + 0 = 0.
-1, 0
Let f = 2275255/7 + -325036. Suppose 20/7*y - 8*y**2 + 5/7*y**5 + 4*y**4 + 0 + f*y**3 = 0. Calculate y.
-5, -2, 0, 2/5, 1
Let n(i) = 8*i**2 - 35*i + 728. Let g(b) = -b**2 + 5*b - 104. Let x(o) = -15*g(o) - 2*n(o). Factor x(d).
-(d - 8)*(d + 13)
Let d(b) = 7*b + 1. Suppose -5*y = -25, -22 = -2*h - 4*y - 0*y. Let u be d(h). Suppose 2*v**2 - 5*v**2 + u - 5*v**2 - 6*v + 6*v**2 = 0. Calculate v.
-4, 1
Let q = 296 - 309. Let l be (45 - 51) + (-4880)/q. Determine i so that -588/13*i**2 - 2/13*i**4 - 56/13*i**3 - l - 2744/13*i = 0.
-7
Let u(r) = 2*r**3 - 45*r**2 + 25*r - 47. Let t be u(22). Suppose 2*h - x = -5, -t*x + 14*x = -25. Find a such that 2/3*a**2 + h + 1/2*a + 1/6*a**3 = 0.
-3, -1, 0
Suppose -5*n - 3*u + 666 = -0*u, -3*u = 3*n - 402. Let v = 135 - n. Solve -13*w**3 - 4*w**v + w**4 + 20*w**3 = 0.
-3, 0
Suppose -57 = -2*b - j, -184*j = -b - 179*j + 1. Suppose b*v - 77 = -25. Factor -21/2*i**v + 17/2*i + 3/2*i**3 + 2*i**4 - 3/2.
(i - 1)**2*(i + 3)*(4*i - 1)/2
Let g(n) be the first derivative of -1/2*n**4 - 75 + 7*n**2 + 0*n - 4*n**3. Factor g(r).
-2*r*(r - 1)*(r + 7)
Let f(n) = -3*n**4 + 124*n**3 + 181*n**2 + 86*n. Let a(w) = -3*w**4 + 134*w**3 + 182*w**2 + 85*w. Let p(s) = 4*a(s) - 5*f(s). Suppose p(r) = 0. Calculate r.
-1, 0, 30
Determine o, given that -91*o**3 - 292*o**4 + 162*o**3 + 294*o**4 + 208*o**2 + 30*o**3 + 7*o**3 = 0.
-52, -2, 0
Let q = -1228020 + 1228020. Let u = 912/7 - 130. Suppose q*r + 0*r**3 + u*r**4 - 2/7*r**2 + 0 = 0. What is r?
-1, 0, 1
Let 134926*o - 6364*o**2 + 138768*o - 3176*o**3 + 4*o**4 - 276878*o = 0. Calculate o.
-1, 0, 796
Let v(a) = -a**3 + a**2 + a. Let p(m) = 7*m**3 + 151*m**2 - 64*m. Let l(z) = -2*p(z) - 4*v(z). Let l(s) = 0. Calculate s.
-31, 0, 2/5
Let a be ((-825)/(-6) + -15)*(-2)/(-120). Let f(b) be the first derivative of -a*b**4 - 43/3*b**2 + 1 + 4*b + 161/9*b**3. Solve f(g) = 0.
2/7, 6
Let d(o) be the second derivative of -o**4/78 - 148*o**3/13 - 4271*o. Determine v, given that d(v) = 0.
-444, 0
Let s(c) be the second derivative of -11*c**4 + 3/5*c**6 + 13*c - 51/2*c**3 - 27*c**2 + 1/14*c**7 - 2 - 9/10*c**5. What is q in s(q) = 0?
-6, -1, 3
Let p(r) = -r**2 - 64*r - 356. Let q be p(-58). Let j be 36/q*8*(-1)/18. Determine c, given that 6/5 - c - 1/5*c**j = 0.
-6, 1
Let u = 214244/5 - 214236/5. Suppose -3*b + 2 + 7 = 0. Let 28/5*z + u*z**4 + 8/5 + 5*z**b + 38/5*z**2 + 1/5*z**5 = 0. What is z?
-2, -1
Factor 478/3*a + 1/3*a**2 + 159.
(a + 1)*(a + 477)/3
Suppose -157 = -12*r + 299. Let q be 54/(-513) - (0 + (-23)/r). Factor -5/2 + 5/2*a**2 - q*a**3 + 1/2*a.
-(a - 5)*(a - 1)*(a + 1)/2
Find i, given that 0 + 866/3*i**2 - 586/3*i**3 + 580/3*i + 4/3*i**4 = 0.
-1/2, 0, 2, 145
Let n = 73 + -70. Factor -192*m - 101*m**2 + 64 + 98*m**n - 139*m**2 + 324*m**2.
2*(m + 2)*(7*m - 4)**2
Let s(b) be the second derivative of b**6/480 + b**5/240 + 37*b**3/2 + 3*b + 1. Let j(l) be the second derivative of s(l). What is y in j(y) = 0?
-2/3, 0
Let c(u) = -2*u**5 + 115*u**4 + 115*u**3 - 1. Let f(y) = -y**5 + y**4 - 1. Let m(j) = 2*c(j) - 2*f(j). Solve m(z) = 0.
-1, 0, 115
Let c(f) = -f**3 - 11*f**2 - 8*f + 23. Let j be (-12)/(-42) + 1 + 79/(-7). Let u be c(j). Let -u*w**5 - 2*w - w + 6*w**3 + 2*w**5 - 2*w**5 = 0. What is w?
-1, 0, 1
Let r(f) be the second derivative of -13/20*f**4 + 14*f - 21/50*f**5 - 1/50*f**6 + 0 + 0*f**2 + 0*f**3. Factor r(s).
-3*s**2*(s + 1)*(s + 13)/5
Let s be (2058/63 + -26)/((-4)/(-3)). Let r(v) be the second derivative of 1/135*v**6 + 0 + 1/3*v**2 - 1/45*v**s + v - 2/27*v**4 + 2/27*v**3. Factor r(b).
2*(b - 3)*(b - 1)*(b + 1)**2/9
Let b(r) be the third derivative of -r**6/300 - 14*r**5/75 - 5*r**4/12 + 18*r**3/5 - 2275*r**2. Find y such that b(y) = 0.
-27, -2, 1
Let l(g) = g**3 - g**2 - g + 16. Let b(r) = -12*r**3 + 48*r**2 + 8*r - 128. Let k(q) = -b(q) - 8*l(q). Find m, given that k(m) = 0.
0, 10
Let r(s) be the first derivative of s**5/135 - 13*s**4/27 + 338*s**3/27 + 23*s**2 + 55. Let j(x) be the second derivative of r(x). Factor j(a).
4*(a - 13)**2/9
Factor 137*a - 16*a**3 + 14*a**3 + 170*a - 218*a**2 - 87*a.
-2*a*(a - 1)*(a + 110)
Let q(t) = 28*t**2 + 2145*t - 843. Let w b