359 + 171666*g - 37264*g**2 + 8*g**5 - 132*g**4 - 187923 + 6*g**5 + 7*g**5 = 0.
1, 14, 17
Let b(i) = i**2 - 19*i + 64. Let a be b(15). Solve 0 + 23 + 7 - a*y**2 + 4*y - 6 = 0 for y.
-2, 3
Solve -z**4 - 19/3*z**3 + 1/3*z**5 + 21*z**2 + 18*z - 72 = 0.
-4, -2, 3
Let y(t) be the first derivative of -1/6*t**4 + 44/27*t**3 - 20/9*t**2 - 16/3*t + 56. Determine s so that y(s) = 0.
-2/3, 2, 6
Let s(y) = -4*y**4 + 58*y**3 + 48*y**2 - 52*y - 50. Let d(u) = 3*u**4 - 57*u**3 - 48*u**2 + 52*u + 50. Let h(f) = 6*d(f) + 5*s(f). Factor h(q).
-2*(q - 1)*(q + 1)**2*(q + 25)
Let f(z) = z**3 + 3*z**2 - 5*z - 2. Let s be f(-4). Suppose 0 = 5*c + 100*d - 99*d - 21, 0 = d + 4. Factor 0*j + 5*j**4 + 0 + 0*j**s - 10/3*j**3 - 5/3*j**c.
-5*j**3*(j - 2)*(j - 1)/3
Let x = -18 - -41. Suppose 4 = 3*j - x. Factor -5*y**3 + y**4 + 4*y - 8*y**3 + 19*y**3 - j*y**3.
y*(y - 2)**2*(y + 1)
Let l(a) = -7*a + 15. Let z be l(2). Let q be ((2 - 0) + z)/((-54)/(-8)). Factor -8/9*w - q*w**2 - 4/9.
-4*(w + 1)**2/9
Factor 34 - 13/4*u**2 - 25/2*u + 1/2*u**3.
(u - 2)*(u + 4)*(2*u - 17)/4
Suppose -20*i - 46 = 554. Let k be (5/i*100)/(-2). What is z in 16/3*z**2 + 4/3*z - k*z**4 + 0 + 5/3*z**3 = 0?
-2/5, 0, 1
Let a = 271 + -256. What is d in -46*d**3 - 8*d - 67*d**2 - 14*d**4 + a*d**2 + 12*d**2 = 0?
-2, -1, -2/7, 0
Suppose -5*u - 2297 = -3*h, 0 = -4*h - 4*u + 2007 + 1045. Let s = h - 1519/2. Factor 15/2*g**3 + 1/2*g**5 + 0 - s*g**2 + 0*g - 7/2*g**4.
g**2*(g - 3)**2*(g - 1)/2
Let h(p) be the third derivative of 11/15*p**5 + 193*p**2 - 4*p**4 + 0 + 0*p - 1/30*p**6 - 24*p**3. Factor h(q).
-4*(q - 6)**2*(q + 1)
Suppose -k + 12 = -h - 2*h, 3*k + 2*h = -19. Let i be (-33)/33 + k/42*-54. Determine u so that 0 - i*u**3 + 16/7*u**2 + 4/7*u = 0.
-1/5, 0, 1
Suppose 5*f = -33*p + 34*p - 5, 4*p = 20. Let q(i) be the third derivative of 3/2*i**3 - 1/20*i**5 + 0 - 1/4*i**4 + 4*i**2 + f*i. Solve q(w) = 0.
-3, 1
Suppose 40*p + 10*p = -0*p + 100. Suppose -4*j = -7*j + 6. Find q, given that 2*q**3 - 11*q**p - 10*q - 7*q**j + 14*q**2 + 12 = 0.
-2, 1, 3
Let x be (-3040)/(-120)*(-5814)/(-272). Factor 612*l - 216 + 225/2*l**3 + 63/2*l**4 + 3/2*l**5 - x*l**2.
3*(l - 1)**3*(l + 12)**2/2
Let n(m) be the third derivative of 0*m - 170*m**2 - 11/12*m**5 + 0*m**3 - 115/48*m**4 + 1/48*m**6 + 0. Factor n(x).
5*x*(x - 23)*(x + 1)/2
Let h = -856995/2 + 428498. Factor -1/2*d + h - 1/2*d**2 + 1/2*d**3.
(d - 1)**2*(d + 1)/2
Let d(g) be the second derivative of g**7/70 + 9*g**6/50 + 9*g**5/20 + 7*g**4/20 - 308*g - 4. Factor d(h).
3*h**2*(h + 1)**2*(h + 7)/5
Let a(g) be the first derivative of 0*g + 1/32*g**4 + 1/60*g**5 - 43 + 3*g**2 - 1/24*g**3. Let h(s) be the second derivative of a(s). Factor h(b).
(b + 1)*(4*b - 1)/4
Let m be (1 + 6)/7*(-27)/(-9). Let j(p) be the second derivative of -1/140*p**5 - 1/42*p**4 + 0 + 0*p**2 + 9*p - 1/42*p**m. Factor j(z).
-z*(z + 1)**2/7
Find n such that -41*n - 26*n**2 + 5*n**2 - 3*n**2 + 4*n**3 - 384 - 215*n = 0.
-4, -2, 12
Let o(y) = 2*y**2 - y. Let j(v) = v**3 - 8*v**2 + 15*v + 1. Let a be j(3). Let c(b) = 6*b**2 - 53*b - 80. Let l(i) = a*c(i) - 5*o(i). Solve l(n) = 0 for n.
-10, -2
Let r(l) = -2*l**2 - l + 1. Let w(b) = 122*b**2 - 99*b + 21. Suppose -17*y = 40 + 62. Let g(z) = y*r(z) + 2*w(z). Let g(n) = 0. Calculate n.
3/8
Let w be (-41 + 41)/29*(-1 + (-3)/(-4)). Suppose w*r + 2/7*r**3 + 0 + 2/7*r**2 = 0. What is r?
-1, 0
Suppose -5*r = -43*s + 41*s - 12, -r = 4*s + 2. Suppose -984*l + 9248*l**2 - 576*l + 5212*l**r + 39 + 6 - 940*l**2 = 0. What is l?
3/52
Let l(k) be the first derivative of k**6/11 + 64*k**5/55 + 23*k**4/11 + 16*k**3/33 - 9*k**2/11 - 7427. Determine d so that l(d) = 0.
-9, -1, 0, 1/3
Let c be ((-4)/(-14) + 1)/((-24)/(-168)). Suppose -22*z - 3*z**2 + 6*z - c*z + 30 - 2*z**2 = 0. What is z?
-6, 1
Let a(r) be the second derivative of -3*r**5/100 - 59*r**4/10 - 117*r**3/10 + 54*r - 2. Let a(v) = 0. What is v?
-117, -1, 0
Let k(j) be the third derivative of -j**4/8 + 9*j**3 - 38*j**2. Let v be k(6). Determine q so that -12*q**2 + v*q - 53*q + 35*q + 2*q**3 = 0.
0, 3
Suppose 2*c - 3*k + 0 - 11 = 0, -10 = 2*k. Let d be c/(-16)*(4 + -8)*-4. Factor 1/2*h + 0 + 1/4*h**d.
h*(h + 2)/4
Let x(y) be the third derivative of 1/1260*y**7 + 0 + 0*y - 1/720*y**6 + 0*y**3 + 0*y**4 + 0*y**5 - 4*y**2. Factor x(q).
q**3*(q - 1)/6
Let c(r) be the first derivative of -13*r**4/4 - 41*r**3/2 - 9*r**2 - 154*r + 131. Let i(k) be the first derivative of c(k). Factor i(b).
-3*(b + 3)*(13*b + 2)
Let y(o) be the first derivative of 0*o**2 + 0*o**4 + 0*o + 1/30*o**5 - 12 - 1/36*o**6 + 7/3*o**3. Let t(x) be the third derivative of y(x). Factor t(l).
-2*l*(5*l - 2)
Let u(w) be the third derivative of -w**8/1008 + 4*w**7/105 + w**6/180 - 4*w**5/15 - w**4/72 + 4*w**3/3 + 2*w**2 - 116*w. Suppose u(p) = 0. Calculate p.
-1, 1, 24
Determine j, given that -1/3*j**4 - 1/3*j**3 + 41/3*j + 20/3 + 7*j**2 = 0.
-4, -1, 5
Factor -2467*r + 5*r**2 - 2607*r + 1080*r + 6930 + 519*r.
5*(r - 693)*(r - 2)
Factor -20*s**2 + 2*s**2 + 50 - 558*s**3 + s + 557*s**3 - 26*s**2 - 6*s**2.
-(s - 1)*(s + 1)*(s + 50)
Let p(g) be the first derivative of -81*g**5/25 + 99*g**4/5 - 208*g**3/5 + 168*g**2/5 - 48*g/5 - 344. Determine w so that p(w) = 0.
2/9, 2/3, 2
Determine o so that -11*o**3 - o**2 - 5*o**2 - o**5 + 20*o**3 - 6*o**4 - 20*o**3 = 0.
-3, -2, -1, 0
Let d(w) be the second derivative of w**4/24 + 8*w**3 - 49*w**2 - w - 1. Solve d(q) = 0.
-98, 2
Let o(c) = 5*c**2 - 38*c + 74. Let j(r) = 15*r**2 - 116*r + 223. Let k be (15 - -2)*(-1 + 0). Let u(l) = k*o(l) + 6*j(l). Factor u(t).
5*(t - 8)*(t - 2)
Suppose 0 = 3*c + p + 3*p - 19, p + 9 = 2*c. Suppose c*u**2 + 36 - 31*u**2 - 14*u**3 + 4*u**4 - 6*u**4 - u + 7*u = 0. Calculate u.
-3, -2, 1
Factor 148/5*g**2 + 192/5 + 362/5*g - 22/5*g**3.
-2*(g + 1)**2*(11*g - 96)/5
Let -344/3*s + 346/3 - 2/3*s**2 = 0. Calculate s.
-173, 1
Let b be 1/4 + 750/8 + -4. Suppose -b + 74 = -8*h. Suppose -65*f**5 - 4*f**4 + 52*f**h - 7*f - 28*f**3 + 69*f**5 - 17*f = 0. Calculate f.
-3, 0, 1, 2
Let u = 1/90 - -79/990. Let c(i) be the first derivative of -u*i**2 + 7/66*i**6 - 19/55*i**5 + 0*i - 1/33*i**3 - 5 + 15/44*i**4. Factor c(r).
r*(r - 1)**3*(7*r + 2)/11
What is l in 336 - 22*l**4 - 12*l**4 + 108*l**3 - 496*l + 92*l**2 + 172*l**5 - 168*l**5 - 10*l**4 = 0?
-2, 1, 2, 3, 7
Let w(l) be the second derivative of -26*l**3 - 59/6*l**4 + 0 - 6/5*l**5 + 65*l + 1/15*l**6 - 32*l**2. Factor w(q).
2*(q - 16)*(q + 1)**2*(q + 2)
Suppose 2*u + 2*g - 64 = -2*u, u + 5*g = 7. Let u*y + 686*y**2 - 685*y**2 - 3*y - 24 - 4*y = 0. What is y?
-12, 2
Let j be 3/(18/30 + (-8)/5). Let k(r) = -2*r**3 + 10*r**2 - 6*r - 22. Let g(o) = 2*o**3 - 9*o**2 + 6*o + 23. Let s(a) = j*k(a) - 2*g(a). Factor s(q).
2*(q - 5)*(q - 2)*(q + 1)
Let k(j) be the second derivative of -18/5*j**2 + 3/100*j**5 + 8 - 3/20*j**4 - 8/5*j**3 + 14*j. Factor k(w).
3*(w - 6)*(w + 1)*(w + 2)/5
Let s(y) be the first derivative of 4*y**3/3 - y - 2. Let w be s(-1). Factor 20*x**5 + 36*x**4 + 25*x**w - 20*x**3 - 11*x**4.
5*x**3*(x + 1)*(4*x + 1)
Suppose -5*r = 5*p - 5175, 9*r - 1059 = 8*r + 5*p. Let q = -1036 + r. Factor 2/19*y**4 + 6/19*y**q - 2/19*y**2 - 6/19*y + 0.
2*y*(y - 1)*(y + 1)*(y + 3)/19
Determine t so that -132*t**2 + 263*t**5 + 240*t**5 - 539*t**5 - 2100*t**4 + 5912*t**3 + 3484*t**2 - 3892*t + 732 = 0.
-61, -1, 1/3, 3
Suppose -4*m + 171 = -w, w = -6*m + m + 207. Let s be (-5)/(30/m) - -7. Solve -x**2 + 0*x + 0 + s*x**3 + 1/4*x**4 = 0 for x.
-2, 0, 2
Factor -903/5 + 3/5*x**2 + 180*x.
3*(x - 1)*(x + 301)/5
Factor 0*x + 0 + 2/3*x**3 - 68/3*x**2.
2*x**2*(x - 34)/3
Let q = 34287 - 6205932/181. Let b = q + 649/905. Let 8/5*m**4 + 0*m + b*m**2 - 2*m**3 + 0 - 2/5*m**5 = 0. What is m?
0, 1, 2
Suppose 38*l = 35*l + 213. Let r = l - 68. Factor -3*c**5 - 3*c**r + 3*c**2 - 3*c**4 + 0*c**4 + 6*c**3.
-3*c**2*(c - 1)*(c + 1)**2
Let d(a) be the third derivative of -a**7/180 - 19*a**6/360 - 53*a**5/360 + a**4/72 + 2*a**3/3 + 1995*a**2. Find k, given that d(k) = 0.
-3, -2, -1, 4/7
Suppose -1339 = -688*d + 37. Factor -40*h - 5/6*h**d - 480.
-5*(h + 24)**2/6
Let m(g) be the second derivative of -g**6/10 - 93*g**5/20 + 135*g**4/4 - 173*g**3/2 + 105*g**2 + 11928*g. Factor m(h).
-3*(h - 2)*(h - 1)**2*(h + 35)
Let x be (2 + -2)/((-25)/90*-18). Let j(l) be the first derivative of 25/4*l**4