d**2*(d - 4)/5
Let p be (228/(-456))/(((-5)/(120/9))/3). Determine n, given that 105/8*n**2 + 49/8*n - 343/4 + 19/8*n**3 + 1/8*n**p = 0.
-7, 2
Solve 2/15*u**5 + 32/3*u**2 + 0 + 124/15*u**3 + 32/15*u**4 + 22/5*u = 0 for u.
-11, -3, -1, 0
Let m(s) be the second derivative of -s**4/18 + 2*s**3/9 + 85*s**2 - 917*s. Factor m(h).
-2*(h - 17)*(h + 15)/3
Suppose -8*l + 10*l = 16. Suppose d - l = -d. Find r such that 16*r**5 - 5*r**d + 1 - 39*r**4 + 184*r**2 + 115*r**3 - 159*r**3 - 80*r - 33 = 0.
-2, -1/4, 1, 2
Determine v, given that 736342 + 1428689 + 8224*v + 1031273 + 916796 + 114036 + 4*v**2 = 0.
-1028
Let o(l) = -603*l**3 + 25795*l**2 + 9438*l + 832. Let g(t) = 602*t**3 - 25795*t**2 - 9437*t - 818. Let v(r) = 2*g(r) + 3*o(r). Factor v(k).
-5*(k - 43)*(11*k + 2)**2
Let h(m) be the third derivative of m**7/420 - m**6/144 - 17*m**5/360 + 13*m**4/144 + m**3/6 + 1421*m**2. Find r, given that h(r) = 0.
-2, -1/3, 1, 3
Factor 22/3 - 2/9*i**2 + 16/9*i.
-2*(i - 11)*(i + 3)/9
Factor -298/13*o**2 - 296/13*o + 0 - 2/13*o**3.
-2*o*(o + 1)*(o + 148)/13
Factor 7863483/2 + 3/2*w**2 + 4857*w.
3*(w + 1619)**2/2
Let d be -13 - ((-36)/(-792) + 1722/(-132)) - -2. Let 34/5 + 1/5*q**d + 7*q = 0. What is q?
-34, -1
Suppose 2*n - 5*n - 5*v + 31 = 0, -5*n + 30 = 4*v. Let c(b) be the first derivative of -3*b**n + 6 - 8*b + 10*b**3 + b**3 + b**3 + 17*b**2. Factor c(r).
4*(r + 1)*(9*r - 2)
Let u(c) be the third derivative of -2/5*c**5 + 2*c**2 + 2/105*c**7 + 0*c**3 + 1/30*c**6 + 42 + 0*c + 0*c**4. Factor u(t).
4*t**2*(t - 2)*(t + 3)
Let z(k) be the second derivative of k**4/27 - 16*k**3 + 430*k**2/9 + 7*k + 24. Factor z(u).
4*(u - 215)*(u - 1)/9
Let t = -70 + 135. Let l = t - 74. Let u(o) = 7*o**2 + 23*o + 9. Let h(z) = -3*z**2 - 11*z - 4. Let m(a) = l*h(a) - 4*u(a). Factor m(n).
-n*(n - 7)
Suppose 179 = 34*j + 43. Let n be (j/18 - 158/468)*-8. Solve -n*x**2 - 8/13*x - 8/13*x**3 - 2/13 - 2/13*x**4 = 0 for x.
-1
Let r be -9 + 8 + -11 + 14. Let v(u) be the second derivative of 14*u + 0 + 1/120*u**5 - 1/6*u**r + 0*u**4 - 1/12*u**3. Determine z so that v(z) = 0.
-1, 2
Let n(i) be the third derivative of i**8/84 + 68*i**7/105 + 42*i**6/5 - 216*i**5/5 - 13*i**2 + 177*i. Factor n(m).
4*m**2*(m - 2)*(m + 18)**2
Let t(a) be the first derivative of 5*a**6/6 + 21*a**5 + 25*a**4 + 4660. Factor t(c).
5*c**3*(c + 1)*(c + 20)
Let r be 3/15*5 - -5. Determine c so that -5*c**4 + 360*c**2 - 351*c**2 + 2*c**4 - r*c**3 = 0.
-3, 0, 1
Determine l, given that -92 - 6*l**3 + 69*l**2 - 100 + 2*l**3 - 81*l**2 + 136*l = 0.
-8, 2, 3
Suppose 3*f = -6*f + 54. Let h(g) = g**2 - 10*g + 30. Let s be h(f). Factor 3*m + 2*m + s*m - m**2 - 1 - 13*m.
-(m + 1)**2
Let j = 202 - 202. Find w such that 5*w**4 + 75*w**2 + 45*w**3 + j*w**3 + 8*w + 19*w + 8*w = 0.
-7, -1, 0
Let b(n) be the first derivative of 35*n**3/8 - 7551*n**2/16 - 1083*n/4 + 1243. Factor b(h).
3*(5*h - 361)*(7*h + 2)/8
Let 134/7*s**3 + 18/7*s**5 + 1238/7*s**2 + 136/7 - 824/7*s - 318/7*s**4 = 0. What is s?
-2, 1/3, 2, 17
Suppose 30*m = -71449 + 71539. Let p(t) be the third derivative of 3/5*t**5 + 0 + 29*t**2 - 1/40*t**6 - 6*t**4 + 0*t + 32*t**m. Find b, given that p(b) = 0.
4
Let j be 4 + 0*4/(-16). Let u(l) be the first derivative of -20/3*l**3 + 0*l**2 + 15 + l**j + 0*l. Factor u(o).
4*o**2*(o - 5)
Solve 48*v - 18 + 19*v**4 - 4*v**5 - 32*v**2 - 12*v**3 + 6*v**4 - 10*v**4 + 3*v**4 = 0 for v.
-3/2, 1, 3
Determine r so that 32*r**3 - 21*r**3 - 278*r**2 - 222*r**2 - 7*r**3 + 9721*r + 6151*r - 15376 = 0.
1, 62
Let l(n) be the first derivative of -5*n**6/33 + 74*n**5/55 - 69*n**4/22 - 26*n**3/33 + 74*n**2/11 - 48*n/11 - 1942. Find w, given that l(w) = 0.
-1, 2/5, 1, 3, 4
Let r(q) be the first derivative of q**4/14 - 214*q**3/21 + 30*q**2 - 1407. Suppose r(s) = 0. Calculate s.
0, 2, 105
Suppose -206*i - 12 = -3*l - 209*i, -4*l = i - 19. Suppose -y - l*b = 18, -4*b + 165 - 185 = -2*y. Factor 0*o**y + 0 - 2/7*o**3 + 4/7*o**4 + 0*o - 2/7*o**5.
-2*o**3*(o - 1)**2/7
Solve 1/2*c**2 - 43/2*c - 147 = 0.
-6, 49
Let w = -15 + 64. Let a = w - 46. Factor -6*p**2 + 22*p**2 + 253 + 12*p**a - 253 - 16*p**4 - 16*p + 4*p**5.
4*p*(p - 2)**2*(p - 1)*(p + 1)
Suppose -5*o - 13*a + 12*a = 5, -a = 3*o + 5. Suppose 0 = -3*x - 2*g - o - 10, -g = -4*x + 5. Factor -1/4*l**3 + 0*l**2 - 9/4*l**5 - 3/2*l**4 + 0*l + x.
-l**3*(3*l + 1)**2/4
Suppose 19 + 60 = 4*p - 3*v, -4*p = 3*v - 1. Find m such that p*m**4 - 25/7*m**5 + 44/7*m - 8/7 - 62/7*m**2 - 19/7*m**3 = 0.
-1, 2/5, 1, 2
Let v(y) = 9*y**2 + 264*y + 423. Let n(s) = 19*s**2 + 500*s + 845. Let b(q) = 6*n(q) - 13*v(q). What is u in b(u) = 0?
-143, -1
Suppose -14*c - 358 + 50 = 0. Let t be (-6)/c*138/207. Solve t*x**2 + 2/11*x**5 - 2/11*x**4 + 0 - 6/11*x**3 + 4/11*x = 0 for x.
-1, 0, 1, 2
Let b = -15 + 25. Find h such that -h - 13*h**2 - 14*h + 10*h**2 + 8*h**2 + b = 0.
1, 2
Let n(u) be the second derivative of -4/9*u**2 - 1 - 5/18*u**4 - 7/90*u**5 - 1/135*u**6 - 13/27*u**3 - 16*u. Suppose n(j) = 0. What is j?
-4, -1
Let a(t) be the second derivative of t**4/18 - 2*t**3 + 65*t**2/3 - 2*t - 501. Factor a(i).
2*(i - 13)*(i - 5)/3
Let m be (5 - (5 - -4))*(-4)/(-24)*-1. Solve -4/3*c**2 + 2/3*c + 4/3 - m*c**3 = 0 for c.
-2, -1, 1
Factor 845/2*i - 211 - i**2.
-(i - 422)*(2*i - 1)/2
Let p(q) be the first derivative of -313 - 17/5*q**2 - 1/15*q**3 - 289/5*q. Factor p(g).
-(g + 17)**2/5
Suppose -b + 1347 = 8*h - 3*h, 804 = 3*h + 2*b. Let j be (-2)/((-218)/60 + 36/h). Factor -24/7*d**4 - 64/7*d**2 + 8*d**3 + j*d**5 + 36/7*d - 8/7.
4*(d - 2)*(d - 1)**4/7
Let s(v) be the second derivative of 8/3*v**3 + v**4 + 0*v**5 - 3 + 18*v - 1/15*v**6 + 3*v**2. Factor s(m).
-2*(m - 3)*(m + 1)**3
Suppose -3*j + 7*m = -3 + 67, j - 5*m + 48 = 0. What is h in 0 - 1/2*h**j + 7/2*h = 0?
0, 7
Let g(n) be the second derivative of n**6/180 - 13*n**5/90 + 55*n**4/36 - 25*n**3/3 + 103*n**2 - 79*n. Let b(j) be the first derivative of g(j). Factor b(d).
2*(d - 5)**2*(d - 3)/3
Determine o so that 77*o**5 + 100*o - 961/2*o**4 - 1319/2*o**2 + 6 + 957*o**3 = 0.
-1/22, 2/7, 1, 2, 3
Let m = -13138 + 13138. Let t(i) be the second derivative of 40*i + m*i**2 - 1/72*i**4 + 0 + 0*i**3. Factor t(y).
-y**2/6
Let x be (27/(-15) - -3)*10. Suppose -9*f - x*f = -15*f. Factor 2/7*w**3 + 2/7*w**2 + 0 + f*w.
2*w**2*(w + 1)/7
Let q(s) be the second derivative of s**4/18 - 13*s**3/9 - 16*s**2 - 778*s + 2. What is n in q(n) = 0?
-3, 16
Let h be (0*(-62)/4712)/(1 - 5). Determine d, given that 0*d - 3/5*d**3 + h + 0*d**2 = 0.
0
Let c(d) be the third derivative of -7*d**6/120 + 3*d**5 + 241*d**4/24 + 9*d**3 + 31*d**2. Determine a so that c(a) = 0.
-1, -2/7, 27
Suppose -2*r**4 + 0 + 0*r - 28/11*r**3 + 48/11*r**2 + 2/11*r**5 = 0. Calculate r.
-2, 0, 1, 12
Suppose y = 4*j + j - 17, 0 = 2*j - 3*y + 1. Suppose -j*t + 51 = k, 8*t - 3*t + 3*k = 69. Suppose -6*h**4 + 19*h**4 + t*h**4 + 10*h**3 = 0. What is h?
-2/5, 0
Let r = -2053754/3 + 684585. Factor 5/3*h - r - 4/3*h**2.
-(h - 1)*(4*h - 1)/3
Let c(k) be the first derivative of 3*k**4/32 - k**3/8 - 9*k**2/8 - 705. Factor c(f).
3*f*(f - 3)*(f + 2)/8
Let k = 194 + -192. Let 36*w**3 + 12*w**5 - 44*w**k - 24*w - 62*w**4 - 90 + 66*w**3 + 106 = 0. What is w?
-1/2, 2/3, 1, 2
Let z(w) be the second derivative of -76/3*w**3 + 0 + w**4 + 211*w + 48*w**2. Factor z(q).
4*(q - 12)*(3*q - 2)
Let -828/5 - 1/5*v**3 + 824/5*v - 203/5*v**2 = 0. What is v?
-207, 2
Let k(m) be the first derivative of m**4/16 - 117*m**3/2 + 123201*m**2/8 - 3281. Factor k(h).
h*(h - 351)**2/4
Factor 17 - 1 - 447*u**2 + 455*u**2 - 20*u + 0*u**3 + 0*u**3 - u**3.
-(u - 4)*(u - 2)**2
Let t(g) = -28*g**2 + 11*g**2 + 18*g**2. Let u(y) = -y**4 - 6*y**3 - 8*y**2 - 12*y - 4. Let k = 187 - 192. Let l(c) = k*t(c) + u(c). Factor l(f).
-(f + 1)**2*(f + 2)**2
Let i(h) be the second derivative of h**4/20 + 67*h**3/10 - 125*h + 2. Factor i(l).
3*l*(l + 67)/5
Let i(f) be the second derivative of 0*f**2 - 5/3*f**3 + 1/2*f**5 - 1/2*f**6 + 5/4*f**4 + 0 - 29*f. Find t such that i(t) = 0.
-1, 0, 2/3, 1
Let q(f) be the first derivative of -f**4 + 136*f**3/3 + 314*f**2 - 760*f - 178. Suppose q(w) = 0. Calculate w.
-5, 1, 38
Let t(g) be the second derivative of g**4/6 + 41*g**3 + 122*g**2 + 735*g. Determine m so that t(m) = 0.
-122, -1
Let t be (2/16)/(2/84). Let c be (-42)/20*((-99303)/1106 - -88). Factor -c