*2.
-2*(q - 347)**2
Factor -572/17*o**2 - 722/17 - 2/17*o**4 - 1368/17*o + 72/17*o**3.
-2*(o - 19)**2*(o + 1)**2/17
Let d = 36776/26853 - 324/8951. Determine h, given that -31*h - d*h**2 - 23/3 = 0.
-23, -1/4
Let m(b) be the first derivative of 2*b**5/5 - 65*b**4/2 + 364*b**3/3 + 248*b**2 - 1746. Factor m(y).
2*y*(y - 62)*(y - 4)*(y + 1)
Let o(i) be the third derivative of -28/3*i**3 + 5/2*i**4 - 1/2*i**6 + 2/105*i**7 + 13/15*i**5 - 7 + 0*i - 6*i**2. What is x in o(x) = 0?
-1, 1, 14
Let w be 126/28 + (-7 + 85/(-10) - -13). Suppose 4/5*z - 2/5*z**w - 2/5 = 0. Calculate z.
1
Let k be 96/(-6192) + (-1920)/(-5504). Factor 5329/3 + 49*o**2 - k*o**3 - 1825*o.
-(o - 73)**2*(o - 1)/3
Let k(l) be the first derivative of l**4/2 + 1900*l**3/3 + 226572*l**2 + 898704*l - 11056. Solve k(h) = 0 for h.
-474, -2
Find l such that 231*l**2 - 2 - 12*l**4 + 52*l**4 + 2 + 100*l**3 - 151*l**2 + 5*l**5 = 0.
-4, -2, 0
Find y, given that 159046/9*y + 160178/9 - 1130/9*y**2 + 2/9*y**3 = 0.
-1, 283
Let b be ((-9)/5)/((-2)/4 + (-9)/(-45)). Suppose 27/2*c + 3/2*c**3 - 9*c**2 - b = 0. What is c?
1, 4
Find m such that 174*m**2 + 288*m - 45*m**3 + 3*m**4 - 253 - 251 + 120 - 41*m**2 + 5*m**2 = 0.
-2, 1, 8
Let m(y) be the first derivative of 0*y + 4 + 1/4*y**4 - 10*y**2 - 1/20*y**5 + 3/2*y**3. Let v(i) be the second derivative of m(i). Find b such that v(b) = 0.
-1, 3
Let u be 14/(-35) - (-3672)/2805. Factor u - 2/11*x**2 - 8/11*x.
-2*(x - 1)*(x + 5)/11
Let z be (-6)/(-138)*0*2/4. Let s(b) be the second derivative of z - 3/4*b**2 - 1/40*b**6 + 27*b - 3/16*b**5 - 7/8*b**3 - 9/16*b**4. Factor s(o).
-3*(o + 1)**3*(o + 2)/4
Let d be (48/40)/((-56)/40)*(-7)/3. Let a(t) be the second derivative of 0 + 8*t + 2/3*t**3 - 4/9*t**4 - 1/3*t**d. Let a(q) = 0. Calculate q.
1/4, 1/2
Let b(y) = -2*y**2 + 20*y + 22. Let k = 18 - -1. Suppose 2*v + 7 = k. Let h(l) = -l**2 + 1. Let q(o) = v*h(o) - b(o). Solve q(x) = 0.
-4, -1
Let p(r) be the second derivative of 2 - 1/35*r**5 - 36/7*r**2 + 34*r + 2/7*r**3 + 4/21*r**4. Determine v so that p(v) = 0.
-2, 3
Suppose -79 = -20*v - 39. Suppose -76*s = -77*s + v. Factor 2/3 + j + 1/3*j**s.
(j + 1)*(j + 2)/3
Factor -94178 - 1/2*n**2 - 434*n.
-(n + 434)**2/2
Let d(l) be the first derivative of -2/7*l**3 - 122 - 3/28*l**4 + 0*l**2 + 0*l + 3/35*l**5. Let d(v) = 0. Calculate v.
-1, 0, 2
Let b(l) be the second derivative of 0 + 1/24*l**3 - 1/80*l**5 - 1/32*l**4 + 0*l**2 + 240*l. What is n in b(n) = 0?
-2, 0, 1/2
Let r(f) be the first derivative of f**4/2 + 52*f**3 + 2016*f**2 + 34560*f + 1630. Suppose r(m) = 0. What is m?
-30, -24
Let b(t) be the first derivative of -2/3*t**3 - 92*t**2 - 4232*t - 162. Factor b(k).
-2*(k + 46)**2
Let n be (-498)/36 + 13 + (-6)/((-504)/70). Solve -2/5*z**4 + 12/5*z**3 + 0*z + 0*z**2 + n = 0 for z.
0, 6
Let h be (-3 + 9)*(13 - 350/28). Let o(p) be the first derivative of -4*p - 51 + 3*p**2 - 3/2*p**4 + 4/3*p**h. Factor o(c).
-2*(c - 1)*(c + 1)*(3*c - 2)
Find p such that 0*p + 287/4*p**2 + 1/4*p**3 + 0 = 0.
-287, 0
Let j(d) be the second derivative of -d**4/3 - 3046*d**3/3 - 28*d - 29. Let j(l) = 0. Calculate l.
-1523, 0
Suppose 0 = 5*y, -6*f = -11*f - 4*y + 100. Factor 6*h - f*h**3 + 25*h**3 - 11*h**3 + 3*h**4 + 9 - 12*h**2.
3*(h - 3)*(h - 1)*(h + 1)**2
Factor -178*z**2 - 270*z - 11*z**3 + 1006*z**4 - 1009*z**4 - 13*z**3 + 475*z**2.
-3*z*(z - 6)*(z - 1)*(z + 15)
Suppose 3*g - h - 45 = 7*g, -75 = 5*g + 5*h. Let t(w) = -w**4 - w + 1. Let k(d) = 6*d**5 + 2*d**3 - 2*d**2 - 10*d + 10. Let b(x) = g*t(x) + k(x). Factor b(v).
2*v**2*(v + 1)**2*(3*v - 1)
Let k be (-1386)/(-429) + 3/(-13). Let m(o) be the first derivative of 19 + 0*o + 1/4*o**4 + 25/2*o**2 - 10/3*o**k. Factor m(d).
d*(d - 5)**2
Find f, given that -889*f + 63774*f**2 - 806450 + 63775*f**2 - 1651*f - 127551*f**2 = 0.
-635
Let x(k) be the first derivative of 2*k**6/21 - 36*k**5/35 + 29*k**4/7 - 52*k**3/7 + 36*k**2/7 - 861. Solve x(n) = 0.
0, 1, 2, 3
Let u(a) be the third derivative of a**6/240 - a**5/24 - a**4/24 + 2*a**3 + 630*a**2. Factor u(o).
(o - 4)*(o - 3)*(o + 2)/2
Let s(o) be the first derivative of o**5 + 1025*o**4/2 - 4115*o**3/3 + 1030*o**2 + 1621. Find b, given that s(b) = 0.
-412, 0, 1
Suppose 33 - 40 = -29*k + 80. Let d(w) be the first derivative of -3/2*w**2 + 3*w**k - 1 + 6/5*w**5 + 15/4*w**4 - 3*w. Factor d(x).
3*(x + 1)**3*(2*x - 1)
Let g = -614 - -353. Let y = 785/3 + g. Find n, given that -y*n**4 - 2/3*n**2 + 4*n**3 - 16*n - 32/3 = 0.
-1, 4
Suppose -4*c - a + 12 = 0, -4*c - a + 9 = -c. Suppose -j + 0*j + 2 = 0. Factor 7*r**j + 50*r**c - 29*r**3 - 31*r**3 - 2*r**2 - 5*r**4 + 10*r.
-5*r*(r - 1)*(r + 1)*(r + 2)
Factor -20*m**4 - 22397 - 1650*m**2 + 6605*m**3 + 22397.
-5*m**2*(m - 330)*(4*m - 1)
Suppose -d + 26 = 5*s, -5*d - 2 = 5*s - 12. Suppose -2*j = -s*j + 10*j. Find a, given that 0*a**2 + 0 + a**3 + j*a**4 - 1/2*a - 1/2*a**5 = 0.
-1, 0, 1
Suppose 0 = -4*z + 2*p - 0*p - 4, 0 = -z - 4*p + 8. Let u be (140/49)/10*(49 + z). Factor 6*w + 5*w**4 + 3 + u*w**3 - 8*w**4 - 20*w**3.
-3*(w - 1)*(w + 1)**3
Suppose 8*c = -9*c + 3587. Let 0*t**4 + 167*t**2 - 20*t**3 - c*t**2 - 12*t + 12*t**4 = 0. What is t?
-1, -1/3, 0, 3
Factor 13291 - j - 3*j**2 - 13291 - 2*j**3.
-j*(j + 1)*(2*j + 1)
Let i be (-60)/(-52) - (-4)/(-26). Suppose -j + 5*y + i = -3, -j + 4 = y. Factor 14*c**4 - 14*c + j*c**2 + 6*c + 32*c**3 + 6*c**4.
4*c*(c + 1)**2*(5*c - 2)
Let m(q) be the second derivative of -7*q**4/30 + q**3/5 + 404*q. Let m(f) = 0. What is f?
0, 3/7
Let h(s) be the first derivative of -5*s**9/3024 - 5*s**8/168 - 2*s**7/21 - 2*s**3/3 - 5*s**2 - 43. Let r(v) be the third derivative of h(v). Factor r(q).
-5*q**3*(q + 2)*(q + 8)
Suppose -y + 2*r = -218 + 45, -r = -3. Suppose 16*u + y - 243 = 0. Determine q so that -8/3*q**3 + 16/9*q**2 + 0*q + 0 - 2/9*q**5 + 4/3*q**u = 0.
0, 2
Factor -1/7*g**3 + 48/7 + 16/7*g - 3/7*g**2.
-(g - 4)*(g + 3)*(g + 4)/7
Let n = -475692 - -475694. Find p such that -26/5 - 2/5*p**n - 28/5*p = 0.
-13, -1
Let n(v) be the third derivative of -v**6/30 - v**5/15 + 2*v**4 + 91*v**2 + 5*v. Factor n(p).
-4*p*(p - 3)*(p + 4)
Let n(y) be the second derivative of y**4/66 + 8*y**3/33 + 12*y**2/11 - 66*y - 3. Determine t, given that n(t) = 0.
-6, -2
Suppose 0 = 4*j - 3*g - 34, -20 = 16*j - 5*g - 114. Factor -24*c**2 - 64/3*c - 5/3*c**j - 32/3*c**3 - 16/3.
-(c + 2)**3*(5*c + 2)/3
Let y(h) be the second derivative of h**7/630 - h**6/30 - 7*h**5/30 - 5*h**4/6 - h**3/6 + 17*h. Let a(l) be the third derivative of y(l). Factor a(n).
4*(n - 7)*(n + 1)
Let n = 8486 + -297007/35. Let p(t) be the second derivative of 0 + 0*t**2 - 1/70*t**6 + 1/7*t**3 - 16*t + n*t**5 - 5/28*t**4. Factor p(s).
-3*s*(s - 2)*(s - 1)**2/7
Let d = -6338 + 6341. Let b = 226 - 223. Find i such that d*i**4 + 15/2*i**b + 0*i + 3*i**2 + 0 = 0.
-2, -1/2, 0
Let x(i) be the first derivative of -2*i**3/21 - 746*i**2/7 + 1494*i/7 - 1550. What is c in x(c) = 0?
-747, 1
Let t(l) be the first derivative of l**3/15 - 113*l**2/5 + 669*l/5 + 7231. Factor t(w).
(w - 223)*(w - 3)/5
Let g = 151 + -149. Solve g*t**2 - 4*t - 3*t**2 + 0*t**2 + 317 - 312 = 0.
-5, 1
Let y(p) = p**3 + 245*p**2 - 6165*p + 23. Let a be y(23). What is d in -8/15*d**4 - 2/15*d**5 - 4/5*d**3 + a - 2/15*d - 8/15*d**2 = 0?
-1, 0
Let t(p) = -17*p**3 + 185*p**2 - 260*p + 54. Let q(u) = -4*u**3 + 13*u**3 + 2 + 0*u**3 - 6*u**3 - 3. Let c(d) = 6*q(d) - t(d). Suppose c(g) = 0. What is g?
2/7, 2, 3
Let b(u) be the second derivative of u**6/6 + 5*u**5/4 + 5*u**4/4 - 15*u**3/2 - 1032*u. Factor b(x).
5*x*(x - 1)*(x + 3)**2
Suppose 157 = -5*c - 28. Let a = -33 - c. Factor -t**a + 8*t**3 - 4*t**2 - 8*t**3 - 3*t**4 + 8*t**3.
-4*t**2*(t - 1)**2
Let c be -8 - ((-9750)/45)/25. Let d(a) be the first derivative of 72*a - 3 + 12*a**2 + c*a**3. Find w such that d(w) = 0.
-6
Let i be (-126)/7*(3 + (-27)/6). Suppose -8 = i*o - 8. Factor -4/5*l**3 - 1/5*l**4 - 4/5*l**2 + o + 0*l.
-l**2*(l + 2)**2/5
Let a(n) be the third derivative of -n**8/2800 - n**7/700 + n**6/200 - 73*n**3/3 - 53*n**2 + n. Let d(t) be the first derivative of a(t). What is h in d(h) = 0?
-3, 0, 1
Let c(d) be the third derivative of 121/560*d**7 + 0*d + 1/4*d**3 + 143/160*d**6 + 213/160*d**5 - 274*d**2 + 13/16*d**4 + 0. Factor c(u).
3*(u + 1)**2*(11*u + 2)**2/8
Let c(i) be the first derivative of -6*i**3/7 