**d + 0 + 2/3*m**3 + 3/5*m**2. Factor n(i).
2*(i + 1)*(7*i + 3)/5
Let f(c) be the second derivative of -7569*c**5/20 - 1334*c**4 - 1765*c**3/6 - 25*c**2 - c + 2540. Determine s, given that f(s) = 0.
-2, -5/87
Let l be (-7)/(-6)*43/((-2408)/(-60)). Let f(m) be the second derivative of -20/3*m**3 + 0 + 10*m**2 - 28*m + l*m**4. What is k in f(k) = 0?
2/3, 2
Let j(g) be the first derivative of 1/4*g**4 + 67 - 1/2*g**2 + 2*g - 2/3*g**3. Factor j(r).
(r - 2)*(r - 1)*(r + 1)
Suppose 4*c - 4 = 2*q + 12, -4*c + 10 = -5*q. Suppose -17*s + 4*w = -18*s - q, 4*w = -2*s. What is v in 0*v + 4/3*v**3 + 0 + 2/9*v**4 + s*v**2 = 0?
-3, 0
Factor 185*h**2 + 402 + 276 + 222 + 5*h**3 + 1080*h.
5*(h + 1)*(h + 6)*(h + 30)
Suppose 5*g = -5*u - 10, 1027*g + 8 = 1025*g - 3*u. What is l in -234 + 12*l - 2/13*l**g = 0?
39
Let o(q) be the first derivative of q**5/90 - q**4/6 + 5*q**3/9 + 25*q**2/9 - 61*q + 44. Let l(a) be the first derivative of o(a). Solve l(d) = 0 for d.
-1, 5
Let o(j) be the third derivative of 0*j + 26*j**2 - 1/1155*j**7 + 2 + 1/66*j**4 + 0*j**3 + 1/66*j**5 + 1/220*j**6 - 1/1848*j**8. Factor o(l).
-2*l*(l - 2)*(l + 1)**3/11
Let r(f) be the first derivative of -f**3/15 - 263*f**2/10 - 262*f/5 - 827. Factor r(o).
-(o + 1)*(o + 262)/5
Suppose u + 8 = -5*f + 10, -5*u = 5*f - 90. Factor 41*s + 10 - 85*s**2 + u*s + 12*s.
-5*(s - 1)*(17*s + 2)
Let d(f) be the first derivative of -3*f**6 + 8*f**5 + 131*f**4/2 + 4*f**3 - 188*f**2 + 80*f - 3839. Find c, given that d(c) = 0.
-2, 2/9, 1, 5
Let a = -915403 - -3661617/4. Solve 3/4*c**4 + 3/8*c + a*c**2 + 3/2*c**3 + 1/8*c**5 + 0 = 0.
-3, -1, 0
Let r be (-356 + 11)/(2 + -3). Let -149*m**2 + 715*m - 260 + 5*m**3 + 34*m**2 - r = 0. What is m?
1, 11
Find p such that 0 - 27/11*p**2 - 12/11*p**3 - 14/11*p + 1/11*p**4 = 0.
-1, 0, 14
Let o = 354893/3 + -118292. Suppose 0*t + o*t**4 + 4*t**2 + 0 + 28/3*t**3 + t**5 = 0. Calculate t.
-3, -2, -2/3, 0
Suppose i + 56 = -o, -3*i + 0*i - 192 = -3*o. Let v be (-12)/i + 9/5. Factor b - 22*b**v + 3*b + 23*b**2 + 3.
(b + 1)*(b + 3)
Let v(r) be the first derivative of -35 + 68/3*r**3 + 2*r**5 + 19/2*r**4 + 18*r + 1/6*r**6 + 57/2*r**2. Factor v(n).
(n + 1)**2*(n + 2)*(n + 3)**2
Let q = 401024 + -401021. Factor 3*j + 0 + 1/2*j**q - 5/2*j**2.
j*(j - 3)*(j - 2)/2
Let x = 9471 + -28373/3. Let h = -46 + 48. Determine y, given that x*y**5 + 0 + 110/3*y**3 - 8*y - 8/3*y**h + 134/3*y**4 = 0.
-2, -1, -3/4, 0, 2/5
Let j(v) be the first derivative of -v**6/360 - v**5/60 + 2*v**3/9 - 34*v**2 + 31. Let g(m) be the second derivative of j(m). Determine s, given that g(s) = 0.
-2, 1
Let k = 2338 + -769203/329. Let w = 3953/1645 + k. Let -2/5*f**3 + 0 - 2/5*f**2 + w*f = 0. What is f?
-3, 0, 2
Suppose -520 - 1153 = -7*l. Factor -l*c**2 + 257*c**2 + 6*c**3 + 5 + c**4 - 14*c**3 - 16*c.
(c - 5)*(c - 1)**3
Let c(l) be the third derivative of -l**5/100 - 7*l**4/20 + 12*l**3 - 1323*l**2. Let c(u) = 0. What is u?
-20, 6
Let q(p) = -p**3 - 7*p**2 - 8*p - 2. Let a(z) = -z + 24*z**2 + 17*z**2 - 42*z**2. Let n(s) = -3*a(s) + q(s). Factor n(m).
-(m + 1)**2*(m + 2)
Let z = 267164/7 + -38166. Factor 2/7 + z*x**3 - 2/7*x - 2/7*x**2.
2*(x - 1)**2*(x + 1)/7
What is r in 35964/7*r**2 + 60/7*r**4 + 3222/7*r**3 - 3/7*r**5 + 104976/7 + 19683*r = 0?
-9, -1, 48
Suppose 132 = t + 105. Suppose -23*q = -t*q + 12. Factor -75/7*n**q + 27/7 + 9*n - 15/7*n**2.
-3*(n - 1)*(5*n + 3)**2/7
Let d = -1137882 + 7965177/7. Factor d*t**2 - 39/7*t - 144/7.
3*(t - 16)*(t + 3)/7
Let a(n) be the second derivative of -n**4/12 + 43*n**3/2 - 953*n. Solve a(t) = 0 for t.
0, 129
Let o be (-8)/6*(-34 - -16). Suppose u - o = -5*u. Solve 2*k**3 + k**2 + 11*k**2 - 2*k**5 + 2*k**2 - 8 - 6*k**u = 0 for k.
-2, -1, 1
Let b(g) = g**2 + 5*g - 21. Let r be b(-7). Let c be -2 + 10 - 11 - r/2. Find l, given that -c*l + 1/2*l**2 + 0 = 0.
0, 1
Suppose -20324*t = -20415*t + 364. Factor 2/3*c**t - 10/3*c**3 - 14/3*c**2 + 10/3*c + 4.
2*(c - 6)*(c - 1)*(c + 1)**2/3
Suppose -3*q = -q + 5*w - 56, 4*q + 3*w - 84 = 0. Suppose -q*i = -14*i - 12. Find l such that -4*l**2 + 3 + l**4 - 3 + l**3 - l**5 + i*l**2 = 0.
-1, 0, 1
Factor -25*m + 49*m**2 - 3*m**4 + 5440*m**3 - 5463*m**3 + 2*m**4.
-m*(m - 1)**2*(m + 25)
Determine m so that -208/11*m**3 + 1322/11*m**2 - 864/11 - 2128/11*m + 6/11*m**4 = 0.
-1/3, 4, 27
Factor -3*m**3 + 2052*m**2 - 218768*m + 35557056 + 46157*m - 49318*m - 245927*m.
-3*(m - 228)**3
Let y be -35 + 634*(-36)/(-648). Factor -y*q**2 - 4/3*q - 2.
-2*(q + 3)**2/9
Suppose 0 = -32*p + 27*p - 30. Let k(d) = 4*d**2 + 8*d + 48. Let u(t) = -t**2 - 1. Let w(l) = p*u(l) - k(l). Solve w(z) = 0 for z.
-3, 7
Factor -1225043000*w - 273920*w**3 + 1024*w**4 + 27477600*w**2 + 81924750625/4.
(8*w - 535)**4/4
Let l(r) be the third derivative of -2*r + 2*r**4 - 86*r**2 - 1/70*r**7 - 1/10*r**6 + 0*r**5 + 0 + 8*r**3. Determine o so that l(o) = 0.
-2, 2
Let i(x) be the first derivative of 14*x**5/15 + 149*x**4/6 - 308*x**3/9 - 980*x**2/3 - 176*x - 621. Determine k, given that i(k) = 0.
-22, -2, -2/7, 3
Solve 0 - 1/5*k**2 + 42/5*k = 0.
0, 42
Let w = 353305/4 - 88324. Suppose w*p**5 + 28*p - 2*p**2 - 3/4*p**4 - 20*p**3 - 12 = 0. What is p?
-2, 2/3, 3
Let j = 49 + -36. Let b = 9 - j. Let f(i) = 36*i**2 + 39*i + 24. Let d(r) = 7*r**2 + 8*r + 5. Let v(a) = b*f(a) + 21*d(a). Factor v(c).
3*(c + 1)*(c + 3)
Find j such that -2/17*j**3 + 456/17*j - 20/17*j**2 - 1584/17 = 0.
-22, 6
Factor -16/7*s**2 + 404/7*s - 1620/7.
-4*(s - 5)*(4*s - 81)/7
Let 13/2*a**4 + 0 + 213/4*a**3 + 1/4*a**5 - 175*a + 115*a**2 = 0. What is a?
-10, -7, 0, 1
Let j = 13008 + -13004. Solve 6/5*y**3 + 2/5*y**4 - 6/5*y - 22/5*y**2 + j = 0.
-5, -1, 1, 2
Solve -27*k**3 - 201*k - 567/4*k**2 - 693/8 + 3/8*k**4 = 0 for k.
-3, -1, 77
Let h(g) = -3*g**2 - 15*g - 6. Let w(q) = -3*q - 30. Let u be w(-11). Let o(i) = 3*i**2 + 14*i + 4. Let m(k) = u*o(k) + 2*h(k). Let m(n) = 0. Calculate n.
-4, 0
Let q be (62 - 0) + 1 + 3. Suppose q = o + 64. Factor -1/3*t**4 + t - 1/3*t**o - t**3 + 2/3.
-(t - 1)*(t + 1)**2*(t + 2)/3
Factor 0*r - 60*r**3 + 80*r**2 + 0 + 15*r**4 - 5/4*r**5.
-5*r**2*(r - 4)**3/4
Let f(p) be the third derivative of -2*p**7/105 + 23*p**6/120 - 4*p**5/5 + 43*p**4/24 - 7*p**3/3 - 456*p**2. Suppose f(k) = 0. Calculate k.
1, 7/4, 2
Let k be 0*(29/(-2) - -14). Let c(i) be the third derivative of 1/150*i**5 - 1/60*i**4 - 10*i**2 + k*i**3 + 0*i + 0. Find j, given that c(j) = 0.
0, 1
Find c, given that c + 7/5*c**3 - 11/5*c**2 - 1/5*c**4 + 0 = 0.
0, 1, 5
Suppose 136*h + 162*h - 397 = 199. Factor 54/5*z - 4/5 - 26/5*z**h.
-2*(z - 2)*(13*z - 1)/5
Let o(w) = -3*w**2 - w + 40. Suppose 2 = -9*u - 34. Let b(x) = -21*x**2 - 6*x + 279. Let s(q) = u*b(q) + 27*o(q). Find r, given that s(r) = 0.
-3, 4
Suppose -64*f**2 - 2292450 + 1702245 - 27744*f - 2416551 = 0. Calculate f.
-867/4
Find i, given that 22898 + 428/3*i + 2/9*i**2 = 0.
-321
Let u(j) = -j - 4. Let i be u(-6). Let z = 75183 + -526279/7. Factor 0 + z*b + 1/7*b**i.
b*(b + 2)/7
Factor 4/3*l**4 + 0 - 16*l - 44/3*l**2 + 8/3*l**3.
4*l*(l - 3)*(l + 1)*(l + 4)/3
Let t = 93 + -86. Let z be (-2)/t*9/((-81)/63). Suppose -2*w - 4/3 + 0*w**z + 2/3*w**3 = 0. What is w?
-1, 2
Solve 16*v - 209 + 821 - 49*v + 4*v**2 + 137*v = 0 for v.
-17, -9
Let g(k) be the second derivative of k**6/3240 - k**5/270 + k**4/54 - 9*k**3 - 16*k - 2. Let o(q) be the second derivative of g(q). Factor o(c).
(c - 2)**2/9
Factor 1107*q**2 + 425 + 88*q + 1113*q**2 + 691 - 2224*q**2.
-4*(q - 31)*(q + 9)
Let g be ((-18)/(31 - 37))/(3/3). Let h(n) be the third derivative of -3/8*n**4 + 0*n - 32*n**2 + 1/40*n**6 + 0 + 0*n**5 + n**g. Factor h(k).
3*(k - 1)**2*(k + 2)
Let m(p) be the third derivative of -p**5/210 + 79*p**4/84 - 76*p**3/7 + 1387*p**2. Find a, given that m(a) = 0.
3, 76
Let r(n) = n**3 - 21*n**2 - 12*n - 52. Let c(v) = v**3 - 17*v**2 - 13*v - 50. Let a(o) = 6*c(o) - 5*r(o). Factor a(t).
(t - 4)*(t + 2)*(t + 5)
Suppose -2122 - 498 = -524*m. Let z be -1 + 1/(1 - 0). Factor 2/3*w**3 - 2/9*w**m + 4/9*w**2 + 0 + z*w**4 + 0*w.
-2*w**2*(w - 2)*(w + 1)**2/9
Suppose 20 = -4*b, -99 = w + 4*b - 92. Let r(g) be the second derivative of 0*g**4 + w*g - 10/3*g**3 + 0*g**2 + 1/4*g**5 + 0. What is i in r(i) = 0?
-2, 0, 2
Suppose -2*g + 10*g = -48. Let f be -1 + (-20)/g - 4/12. What is n in 7/2*n + 1 + 5/2*n**f = 0?
-1, -2/5
Let