 62*s**2 - 133*s + 94. Let a(y) = y**3 + 61*y**2 - 130*y + 88. Let l(j) = -6*a(j) + 5*r(j). Factor l(f).
-(f - 1)**2*(f + 58)
Let z(j) = -j**2 - 854*j - 20725. Let s be z(-25). Factor -4/9*q**3 + s*q - 8/9*q**2 + 0.
-4*q**2*(q + 2)/9
Let r(t) be the first derivative of 5*t**4/4 - 413*t**3 + 2472*t**2/5 - 988*t/5 - 1217. Factor r(v).
(v - 247)*(5*v - 2)**2/5
Let x(f) be the second derivative of 2*f**7/105 + 17*f**6/15 - 131*f**5/50 + 22*f**4/15 + 22*f - 2. Find z, given that x(z) = 0.
-44, 0, 1/2, 1
Let d(i) be the second derivative of 5*i**4/48 - 75*i**3/8 + 55*i**2/2 + 3*i - 116. Let d(v) = 0. Calculate v.
1, 44
Let s = -284 - -315. Suppose -4*p + 5*k + 6 = -s, -4*p - k + 7 = 0. Suppose 2/5*l**2 + 2/5*l + 2/15 + 2/15*l**p = 0. What is l?
-1
Suppose -3/8*n**5 + 0 + 21/2*n - 6*n**4 - 81/8*n**3 + 6*n**2 = 0. What is n?
-14, -2, -1, 0, 1
Let i = 468 - 430. Let o(m) = m - 34. Let s be o(i). What is x in 0*x + 32/3*x**s + 4/3*x**2 + 22/3*x**3 + 0 + 14/3*x**5 = 0?
-1, -2/7, 0
Let y(v) be the third derivative of -v**8/168 + 12*v**7/35 - 17*v**6/10 + 10*v**5/3 - 11*v**4/4 - v**2 - 381*v. Factor y(q).
-2*q*(q - 33)*(q - 1)**3
Solve 720/7 + 1/7*p**3 + 724/7*p + 184/7*p**2 = 0.
-180, -2
Let v = 1538533/4 + -384627. Factor v*k**2 - 5/4*k + 15/2*k**3 + 0.
5*k*(k + 1)*(6*k - 1)/4
Let x be (-693)/(-594) - 16/28. Let z(l) be the third derivative of 11/420*l**5 - 1/840*l**6 - 5/24*l**4 + 0 + 0*l + x*l**3 + 4*l**2. Factor z(q).
-(q - 5)**2*(q - 1)/7
Suppose -251*s + 483 - 30 = -802. Suppose 0 = -q - 2*q + 9. Factor -5*o + o - o - 15*o**2 - s*o - 5*o**q.
-5*o*(o + 1)*(o + 2)
Let b(l) be the second derivative of -l**5/10 - l**4/9 + 4*l**3/3 + 8*l**2/3 - 940*l. Factor b(t).
-2*(t - 2)*(t + 2)*(3*t + 2)/3
Let u(v) = 16*v - 60. Let s be u(4). Solve 20 + 2*w**5 - 4*w**2 + s*w**4 - 8*w**3 + 3 + 6*w - 23 = 0 for w.
-3, -1, 0, 1
Let p be (4/(-14))/((-144)/420). Let i(t) be the third derivative of 0 - p*t**4 - t**2 - 1/15*t**5 + 0*t - 8/3*t**3. Find g such that i(g) = 0.
-4, -1
Let k(f) be the third derivative of f**8/420 + 4*f**7/175 + 2*f**6/25 + 2*f**5/15 + f**4/10 - 59*f**2 + f + 12. Suppose k(i) = 0. What is i?
-3, -1, 0
Let y(o) be the second derivative of 3/4*o**3 + 6*o - 15/2*o**2 - 1 + 3/4*o**4 + 3/40*o**5. Factor y(t).
3*(t - 1)*(t + 2)*(t + 5)/2
Suppose -5*m = u, -5*u + 8 + 20 = -3*m. Suppose 5*v = -7*v. Suppose -2/3*z**u + 2/3*z**2 + v - 4/3*z - 2/3*z**4 + 2*z**3 = 0. Calculate z.
-2, -1, 0, 1
Let f be 4600/56 + 1/(-7). Let i(w) be the first derivative of -17 + f*w**3 - 81*w**3 - 14*w + 6*w**2 - w. Factor i(l).
3*(l - 1)*(l + 5)
Let n(f) be the third derivative of -f**8/3192 + f**7/285 + 13*f**6/1140 - 43*f**5/570 + 2*f**4/19 - 343*f**2. Solve n(x) = 0.
-3, 0, 1, 8
Let l(f) = -10*f**3 - 996*f**2 + 766*f + 1080. Let u(q) = -2*q**3 - 191*q**2 + 153*q + 216. Let p(s) = 3*l(s) - 16*u(s). Determine b so that p(b) = 0.
-36, -1, 3
Let q(l) = -133*l**2 + 1589*l + 86. Let b be q(12). Solve 1/3*v**3 + 0 + 0*v + 1/6*v**5 - 5/6*v**4 + 4/3*v**b = 0.
-1, 0, 2, 4
Suppose -12*h - 2070 = -14*h - 5*n, 1050 = h - 5*n. Let z = -5176/5 + h. Factor z*v + 1/5*v**2 + 16/5 + 1/5*v**4 - 6/5*v**3.
(v - 4)**2*(v + 1)**2/5
Let f be (-4612)/(-18) - -1 - (-24 + 29). Let k = -252 + f. Determine h, given that -k*h - 1/9 - 1/9*h**2 = 0.
-1
Let m = 1187 - 7115/6. Let c(v) be the second derivative of 0 - 7/15*v**6 - 1/5*v**5 + 2/3*v**3 + m*v**4 + 4*v + 0*v**2. Factor c(j).
-2*j*(j - 1)*(j + 1)*(7*j + 2)
Let q(f) be the first derivative of f**4/16 - 43*f**3/12 + 55*f**2 + 121*f - 587. Factor q(l).
(l - 22)**2*(l + 1)/4
Let s(o) be the third derivative of -o**5/105 - 10*o**4/7 + 512*o**3/21 + 22*o**2 - 2*o. Suppose s(j) = 0. Calculate j.
-64, 4
Let n be 28840/(-2200)*2/33. Let u = 2/363 - n. Find i, given that 24/5*i**3 + 16/5*i**4 + 4/5*i**5 + 0 + 16/5*i**2 + u*i = 0.
-1, 0
Let y(o) be the first derivative of -5*o**3/3 - 165*o**2/2 - 1260*o - 3075. Factor y(b).
-5*(b + 12)*(b + 21)
Let h(x) = -1416*x + 263380. Let v be h(186). Determine q so that -522/19*q**2 - 30/19*q**v + 2/19*q**5 + 756/19*q + 178/19*q**3 - 432/19 = 0.
2, 3, 4
Let b = -3 + 5. Let f be (12/18)/(-3*14/63)*0. Factor 4*l**3 + f - 53*l**2 + 65*l**b + 4 + 12*l.
4*(l + 1)**3
Let -44/5*m**2 + 6/5*m + 0 = 0. Calculate m.
0, 3/22
Let n(t) be the first derivative of 7/24*t**3 + 5/48*t**4 - 8*t - 14 + 1/4*t**2. Let s(r) be the first derivative of n(r). Let s(y) = 0. What is y?
-1, -2/5
Let p(c) be the first derivative of -2*c**2 + 1/9*c**3 + 12*c - 148. Determine q, given that p(q) = 0.
6
Suppose 2*l + 0*p + p - 24 = 0, -2*l = -p - 24. Suppose -d + l = -17. What is m in d*m**2 - 5*m**2 + 4 + 16*m - 23*m - 21*m = 0?
1/6, 1
Let r(u) be the third derivative of -u**5/60 - 47*u**4/24 + 118*u**3 + 2*u**2 - 4*u - 183. Factor r(y).
-(y - 12)*(y + 59)
Let i(j) be the first derivative of 578/9*j + 2/27*j**3 - 34/9*j**2 + 27. Factor i(p).
2*(p - 17)**2/9
Suppose -2*l + 7 = 1. Suppose 3*s + 47 = l*b + s, -18 = -2*b + 4*s. Factor 11*p**2 + 2*p**3 + b*p - 2*p**3 - 3*p**2 - 5*p**3 + 6.
-(p - 3)*(p + 1)*(5*p + 2)
Factor -14*j - 23*j - 2*j + 172*j**2 + 11*j - 24*j**3.
-4*j*(j - 7)*(6*j - 1)
Let b(k) = 2*k**3 - 89*k**2 + 43*k + 59. Let q be b(44). Factor 4*m**3 - 5*m**2 + 138*m**4 + 10 - 19*m**3 - 143*m**4 + q*m.
-5*(m - 1)*(m + 1)**2*(m + 2)
Let a(s) = -s**2 + 55*s - 170. Let q(v) = -4*v**2 + 221*v - 690. Let j(u) = -18*a(u) + 4*q(u). Let j(b) = 0. Calculate b.
3, 50
Suppose -5*o + 8745 = 3*s, -2*o + 0*o + 5*s + 3498 = 0. Let j = 1749 - o. Solve j*c**2 - c**3 + 1/2*c + 0*c**4 + 0 + 1/2*c**5 = 0 for c.
-1, 0, 1
Let p = 1771/130 + -168/13. Let l(k) be the first derivative of 3/5*k**2 + 4/5*k - p*k**4 - 6/25*k**5 - 2/5*k**3 - 13. Factor l(d).
-2*(d + 1)**3*(3*d - 2)/5
Let y(d) be the first derivative of d**4/12 + 4*d**3/9 - 5*d**2/6 - 4194. What is n in y(n) = 0?
-5, 0, 1
Let x(m) be the second derivative of m**5/20 + 87*m**4/4 + 5633*m**3/2 - 17161*m**2/2 + 8*m + 2. Factor x(r).
(r - 1)*(r + 131)**2
Suppose 29*j - 801 = 997. Factor -708*s - 20 + j + 621*s + 48*s**2 - 3*s**3.
-3*(s - 14)*(s - 1)**2
Let a(k) be the second derivative of 7 + 5/3*k**4 + 4*k**3 - 6*k + 2*k**2. Find b such that a(b) = 0.
-1, -1/5
Let l(r) = -r**2 + 1. Let h(z) = -18*z**2 - 2*z + 3*z - 19*z - 11*z**3 - 10 + z**3. Let y = -51 - -50. Let j(i) = y*h(i) - 6*l(i). Determine x so that j(x) = 0.
-1, -2/5
Let u be ((-3)/7)/((390/(-1092))/(20/12)). Suppose 0 - 4/7*o + 4/7*o**u = 0. What is o?
0, 1
Let g(m) be the first derivative of 13*m**3/3 + 63*m**2/2 + 22*m + 46. Let p(q) = -7*q**2 - 31*q - 10. Let x(c) = -2*g(c) - 5*p(c). Solve x(i) = 0 for i.
-3, -2/9
Let u(s) be the third derivative of -s**5/120 + 3*s**4/16 - 5*s**3/3 + 934*s**2. Determine o, given that u(o) = 0.
4, 5
Let q(v) be the second derivative of v**4/20 + 69*v**3/5 - 1269*v**2/10 - v - 1258. Factor q(r).
3*(r - 3)*(r + 141)/5
Let v(u) be the third derivative of 0 - 1/240*u**6 - 27/16*u**4 + 0*u + 187*u**2 + 10/3*u**3 + 7/20*u**5. Find j, given that v(j) = 0.
1, 40
Let h(y) = y**3 + y**2 + 11*y - 2. Let o(j) = 27*j**3 - 2908*j**2 + 1182*j - 4. Let f(a) = -2*h(a) + o(a). Factor f(u).
5*u*(u - 116)*(5*u - 2)
Let j(q) = 1071*q - 55. Let h be j(4). Suppose h*l**2 - 5*l**3 - 27*l + 67*l - 4219*l**2 = 0. What is l?
-2, 0, 4
Let i(j) = 16*j**2 + 10*j - 10. Let f = 42 - 40. Let v(k) = -3*k**2 - 7 - 2*k**f + 25 - 15 - 3*k. Let d(m) = 6*i(m) + 20*v(m). Factor d(h).
-4*h**2
Let z(n) = 9*n**3 + 2*n + 1. Let k be z(-1). Let p be 36/10 - 4/k. Factor 6*q**2 - 4*q**2 - p*q**3 - 2*q**2 + 8*q**2.
-4*q**2*(q - 2)
Let d(u) = -2*u**2 - 22*u + 15. Let z(c) = -3*c**2 - 24*c + 15. Let n(k) = -20*k + 15. Let m be n(1). Let y(x) = m*z(x) + 4*d(x). Let y(b) = 0. What is b?
-5, 3/7
Let h(r) be the third derivative of r**5/140 + 867*r**4/7 + 6013512*r**3/7 - 6419*r**2. Factor h(o).
3*(o + 3468)**2/7
Let f(h) = -18*h**4 + 805*h**3 - 1538*h**2 + 13*h. Let q(b) = -3*b**4 + 134*b**3 - 256*b**2 + 2*b. Let n(u) = -2*f(u) + 13*q(u). Let n(i) = 0. What is i?
0, 2, 42
Let b be (-2 + 4 - 4)/((-4)/16). Factor -5*h**5 - 55*h**3 + 61*h**3 + b*h**5 - 9*h**4.
3*h**3*(h - 2)*(h - 1)
Let j(q) be the third derivative of -11 + 2*q**2 + 0*q - 3/8*q**4 - 1/120*q**6 + 2/3*q**3 + 1/10*q**5. Suppose j(w) = 0. What is w?
1, 4
Let m = 69/14 - 261/70. Let j = 39/295 - -4/59.