ulate q.
-2, 2/3, 1
Let -295*h**2 - 86*h**4 + 21*h**4 + 235*h**3 + 3992696*h**5 - 3992691*h**5 + 120*h = 0. What is h?
0, 1, 3, 8
Suppose -930 = -4*s - 6*s. Let c = s - 75. Factor -4*k - 10*k**3 - 7*k**3 + c*k**3 - 3*k**2.
k*(k - 4)*(k + 1)
Let g(q) be the second derivative of q**4/30 + 508*q**3/5 - 3052*q**2/5 + 3309*q - 1. Find k, given that g(k) = 0.
-1526, 2
Suppose 20*l + 406 = 6*l - 391 + 881. Factor 57/2*g**2 + 21*g + 0 + l*g**3 - 3/2*g**4.
-3*g*(g - 7)*(g + 1)*(g + 2)/2
Let g be ((-9)/(-56))/(195/1040). Let o(x) be the second derivative of 4/21*x**4 - g*x**2 - 2/21*x**3 + 26*x + 0. Factor o(h).
4*(h - 1)*(4*h + 3)/7
Let z(u) be the second derivative of 0*u**2 - 1/42*u**7 + 7/30*u**6 + 0 - 13/20*u**5 - 1/4*u**4 + 3*u**3 - 57*u. Determine h so that z(h) = 0.
-1, 0, 2, 3
Let q(y) be the first derivative of -9*y**5 - 723*y**4/4 - 976*y**3 - 96*y**2 + 2016. Determine u, given that q(u) = 0.
-8, -1/15, 0
Let c be (52/10 + -4)/(2/5). Suppose -13*b - 39 = -16*b. Solve 4*m**4 - 64 + 32*m - 4*m - 16*m**c + b*m + 23*m = 0 for m.
-2, 2
Let i = 578231 - 578229. Factor 4/3*r**i + 2116/3 - 184/3*r.
4*(r - 23)**2/3
Let d(a) be the second derivative of -a**5/5 + a**4/3 + 8*a**3/3 - 8*a**2 + 1548*a. Factor d(t).
-4*(t - 2)*(t - 1)*(t + 2)
Suppose 4*s = 5*r + 28, -s - 2575*r + 2573*r + 20 = 0. Solve 0*j + s*j**3 + 0 + 24*j**2 - 21/2*j**4 + 3/2*j**5 = 0 for j.
-1, 0, 4
Let h(b) be the first derivative of 2*b**5/13 + 3*b**4 + 776*b**3/39 + 552*b**2/13 - 576*b/13 - 19. Solve h(u) = 0 for u.
-6, -4, 2/5
Let l = -1382 - -1382. Let i(u) be the first derivative of 2/3*u**3 + 1/6*u**4 + l*u - 15 - 4/3*u**2. Factor i(a).
2*a*(a - 1)*(a + 4)/3
Let l(u) = 15*u - 7. Let q(n) = 30*n - 15. Let i(o) = 9*l(o) - 4*q(o). Let b be i(2). Solve 7*y**2 + b*y + 15*y**3 + 2*y**2 + 27 - 14*y**3 = 0.
-3
Let x(m) be the first derivative of 5 + 0*m**2 - 2/15*m**3 - 1/200*m**5 + 1/20*m**4 + 29*m. Let f(s) be the first derivative of x(s). Factor f(d).
-d*(d - 4)*(d - 2)/10
Let d(l) be the third derivative of l**7/735 - 61*l**6/210 + 2617*l**5/210 + 5612*l**4/7 + 101568*l**3/7 + 134*l**2. Suppose d(m) = 0. Calculate m.
-8, 69
Let o(l) be the first derivative of -l**5/140 + 93*l**4/28 - 8649*l**3/14 + 121*l**2/2 + 227. Let i(a) be the second derivative of o(a). Factor i(y).
-3*(y - 93)**2/7
Let -2330*w + 2662 + w**3 + 3038 - 4*w**3 + 248*w**2 - w**3 + 2*w**3 = 0. What is w?
5, 114
Let y(n) = 2*n + 4. Let q be y(0). Suppose -2*p + 0*p + q*t + 4 = 0, p + 5*t = 2. Factor -5*d**2 - 6*d**2 + 2*d**3 + 2*d**3 - d**p - 16*d.
4*d*(d - 4)*(d + 1)
Let c(a) be the third derivative of 64/15*a**5 + 0*a**4 + 0 - 1/84*a**8 + 0*a**3 + 34*a**2 + 0*a - 2/7*a**7 - 8/5*a**6. Factor c(z).
-4*z**2*(z - 1)*(z + 8)**2
Suppose 0 = l - 5*c + 45, 5*l = -4*c - 97 + 133. Factor 1/2*d**2 - 1/2*d + l.
d*(d - 1)/2
Let b(c) be the third derivative of c**7/840 + 11*c**6/32 + 7357*c**5/240 + 15089*c**4/32 + 31205*c**3/12 - 768*c**2 + 2*c - 1. Factor b(h).
(h + 2)*(h + 5)*(h + 79)**2/4
Let j = -405079 - -1215242/3. Factor -1/2*x**3 + 8/3*x**2 - 23/6*x + j.
-(x - 1)**2*(3*x - 10)/6
Let f be (-12)/(-3 + 0)*1 - (-1862)/(-490). Let j(w) be the first derivative of -f*w**4 + 16/5*w + 0*w**2 + 17 - 4/5*w**3. Factor j(q).
-4*(q - 1)*(q + 2)**2/5
Let b(g) = -2*g**2 - 50*g - 165. Let n be b(-4). Let h(v) be the first derivative of -19 + 0*v**2 + 0*v + 5/3*v**n. Solve h(x) = 0.
0
Let y be ((-50)/(-8))/((18/(-12))/(63/(-35))). Let o(g) be the first derivative of 0*g + y*g**4 - 3/2*g**2 - 3/2*g**3 - 2. Factor o(r).
3*r*(4*r + 1)*(5*r - 2)/2
Find g such that 56/5 - 58/5*g**2 + 24/5*g**3 - 24/5*g + 2/5*g**4 = 0.
-14, -1, 1, 2
Let s(d) = -12*d - 94. Let r(k) = -25*k - 189. Let i(f) = -4*r(f) + 7*s(f). Let h be i(-6). Solve -7/3*u**h + 10*u - 8/3 = 0.
2/7, 4
Let o(k) be the second derivative of k**5/5 + 38*k**4/3 + 322*k**3/3 - 8464*k**2 - 230*k + 3. Factor o(s).
4*(s - 8)*(s + 23)**2
Let q(h) be the second derivative of -h**6/45 - 9*h**5 - 179*h**4/6 - 268*h**3/9 + 1588*h. Find t such that q(t) = 0.
-268, -1, 0
Factor -1/9*m**3 + 4/9*m - 1/9*m**4 - 8/9 + 2/3*m**2.
-(m - 2)*(m - 1)*(m + 2)**2/9
Let h = -998 + 1002. Let l(w) be the first derivative of 0*w**2 + 25*w**5 + 11 + 20/3*w**3 + 0*w - 25*w**h. Factor l(v).
5*v**2*(5*v - 2)**2
Let l(w) be the first derivative of 0*w - 1/2700*w**6 - 1/3*w**3 + 7/225*w**5 - w**2 - 49/45*w**4 - 34. Let g(c) be the third derivative of l(c). Factor g(i).
-2*(i - 14)**2/15
Suppose -44*g + 7*g = -407. Suppose c = 34*d - 38*d + g, 5*c + 17 = -2*d. Factor 0 - 4/5*t**5 - 8/5*t**2 + 8/5*t**d + 4/5*t + 0*t**3.
-4*t*(t - 1)**3*(t + 1)/5
Let -118 + 357 - 3*a**2 - 318*a - 239 = 0. What is a?
-106, 0
Let f(k) be the second derivative of -k**7/14 - k**6/4 + 9*k**5/20 + 5*k**4/2 + 2*k**3 - 1502*k. Determine c so that f(c) = 0.
-2, -1/2, 0, 2
Suppose -66*a + 5 + 916 + 1455 = 0. What is y in -3/5*y**4 + 6*y**3 - 111/5*y**2 + a*y - 108/5 = 0?
2, 3
Let j = -1181/9 - -12650/63. Let t = 3107/35 - j. Find i, given that 9/5*i**3 - t*i**2 + 57*i - 30 = 0.
2/3, 5
Find v such that 1/3*v**3 + 0 - 35*v**2 + 0*v = 0.
0, 105
Let 729/7 - 54*x**3 + 162*x**2 + 57/7*x**4 - 1539/7*x - 3/7*x**5 = 0. Calculate x.
1, 3, 9
Let g be (-1198)/440 + -4 + 136/32. Let r = 36/11 + g. Determine i, given that -144/5 - r*i**2 + 48/5*i = 0.
6
Let h(z) be the second derivative of -z**4/66 + 5*z**3/3 - 294*z**2/11 + 5*z + 108. Factor h(r).
-2*(r - 49)*(r - 6)/11
Let j = 2186/9 + -242. Let i(q) = -q**3 + 550*q**2 - 18022*q - 103. Let s be i(35). Suppose j + 4/3*t - 1/9*t**4 + 2/9*t**s - 1/3*t**3 = 0. What is t?
-2, -1, 2
Suppose -4*u + 43 + 61 = 0. Let m be u/10 - (-14)/35. Factor -9*n**m - n**5 - 30*n + 22*n + 7*n**4 + 20*n**2 - 9*n**3.
-n*(n - 2)**3*(n - 1)
Suppose -3*k + 2*f = -2*k - 2, 5 = -f. Let t be 6/k - 3744/(-896). Let -3/7*g**3 - 54/7 - t*g**2 - 9*g = 0. What is g?
-3, -2
Let w(d) = 12*d**3 - 86*d**2 - 231*d + 1718. Let i be w(7). Suppose 0 - 4*t**2 + 6/7*t + 2*t**i + 8/7*t**4 = 0. What is t?
-3, 0, 1/4, 1
Let y(v) = 22*v**2 - 5*v - 15. Suppose -44*t + 50*t + 12 = 0. Let j(d) = 5*d**2 - d - 4. Let o(b) = t*y(b) + 9*j(b). Factor o(s).
(s - 2)*(s + 3)
Let h = -15439/180 - -429/5. Let u(x) be the second derivative of 1/40*x**5 + 1/24*x**4 + 0 + 0*x**2 + 1/180*x**6 + h*x**3 - 25*x. Factor u(k).
k*(k + 1)**3/6
Let l be ((-603)/(-45) - 14) + (-314)/(-65) + -3. Solve 4/13*a**2 + 6/13*a**3 - 24/13*a + l - 2/13*a**4 = 0.
-2, 1, 2
Let n = -45125/2 + 22564. Solve -n*k - 1 - 1/2*k**2 = 0 for k.
-2, -1
Let l(d) = d**5 + 14*d**4 + 33*d**3 + 32*d**2 - 4. Let f(a) = a**2 - 618*a**4 + 0*a**2 + 1 + 617*a**4. Let t(z) = 4*f(z) + l(z). What is c in t(c) = 0?
-4, -3, 0
Let u(v) be the third derivative of v**7/630 + 179*v**6/360 + 1962*v**2. Factor u(d).
d**3*(d + 179)/3
Let y(o) be the second derivative of 7/48*o**4 + 45*o - 7/120*o**6 + 1/16*o**5 + 0 + 0*o**2 + 1/168*o**7 - 1/4*o**3. Factor y(i).
i*(i - 6)*(i - 1)**2*(i + 1)/4
Solve 2/3*v**2 + 4386722/3 + 5924/3*v = 0 for v.
-1481
Let i(p) = p**3 - 23*p**2 - 26*p + 51. Let d be i(24). Let c be ((-2)/d)/((-53)/159). Factor 0 + 0*s**c + 0*s - 2/11*s**3 - 2/11*s**4.
-2*s**3*(s + 1)/11
Let g(t) be the third derivative of -t**7/70 + 59*t**6/40 - 45*t**5/4 + 277*t**4/8 - 55*t**3 - 1918*t**2. Factor g(b).
-3*(b - 55)*(b - 2)*(b - 1)**2
Let d be 2*(-7)/(-28) - (-9 - -3) - 6. Let x(l) be the first derivative of d*l**4 - 4*l**2 + 8*l + 2 - 2/3*l**3. Determine y so that x(y) = 0.
-2, 1, 2
Let c be 1/(-3) + (32/6 - 2). Let j be c + 122/14 + (-4)/(-14). Suppose -44*l**3 + 47*l**3 - l + j - 20*l + 6*l**2 = 0. What is l?
-4, 1
Let s(n) be the first derivative of 7921/8*n**3 - 267/8*n**2 + 114 + 3/8*n. Factor s(z).
3*(89*z - 1)**2/8
Suppose 0 = 15*u - 1761 + 231. Solve -17*g - u + 174 + g**2 - 88 - 2*g**2 = 0.
-16, -1
Let d be (24 + -28)*(-2 + (-7377)/12). Suppose 2*c - 4*c + 4 = 0. Factor 2467*y - d*y + 3*y**3 - 12*y**4 + 15*y**3 + c*y**5.
2*y**3*(y - 3)**2
Let k(f) = 4*f**3 + 3*f**2 + 2*f. Let h(d) = -1196808*d**3 - 294812*d**2 + 1104*d - 1. Let o(n) = 2*h(n) - 14*k(n). Suppose o(l) = 0. What is l?
-1/4, 1/547
Let t(j) = 9*j**3 - 1618*j**2 - 1637*j - 10. Let a(x) = -4*x**3 + 812*x**2 + 820*x + 4. Let l(n) = 10*a(n) + 4*t(n). Suppose l(b) = 0. What is b?
-1, 0, 413
Factor 2/3*y**3 + 58*y**2 + 0 + 172/3*y.
2*y*(y + 1)*(y + 