
Factor 211*l**3 + 89463*l**2 + 1/8*l**4 + 354482 + 355324*l.
(l + 2)**2*(l + 842)**2/8
Let r(k) be the second derivative of -k**5/20 - k**4/8 + k**3 + 53*k**2/2 + 150*k. Let i(l) be the first derivative of r(l). Solve i(n) = 0 for n.
-2, 1
Let g = 9192 - 9188. Suppose 0 - 1/4*x**g + 0*x**2 + 0*x + 1/4*x**3 = 0. What is x?
0, 1
Let u(w) be the third derivative of -w**7/2520 - w**6/36 - 5*w**5/6 + 23*w**4/12 - 72*w**2. Let h(l) be the second derivative of u(l). Factor h(z).
-(z + 10)**2
Let n be -1*3/9*-6. Factor 15*l - 46 + 6*l + 2*l**n - 2 + 5*l - 12.
2*(l - 2)*(l + 15)
Let 6272/3 + 43232/3*p - 9584/3*p**3 - 98/3*p**5 + 71936/3*p**2 - 2408/3*p**4 = 0. What is p?
-14, -2/7, 4
Solve 1/6*h**3 + 2812/3*h - 151/6*h**2 + 2888/3 = 0 for h.
-1, 76
Suppose -62/3*a - 53/3*a**2 - 8 - 1/3*a**4 - 16/3*a**3 = 0. Calculate a.
-12, -2, -1
Suppose -r = w + 5, 14 = -111*r + 109*r. Let b(l) be the second derivative of 0 + 0*l**w + 11/150*l**5 - 16*l + 1/10*l**4 - 2/45*l**3. Factor b(f).
2*f*(f + 1)*(11*f - 2)/15
What is x in 42 + 3/4*x**2 - 45/2*x = 0?
2, 28
Let a(t) = 13*t**2 - 76*t - 2. Let q be a(6). Let h be (q/(-12))/((-15)/(-54)*-4). Find i, given that 0*i**3 + 0*i + 3/4*i**5 + 0 + 0*i**2 + h*i**4 = 0.
-1, 0
Let a be (-189)/135*(-5106)/322. Determine c so that -3/5*c**4 + a*c - 36/5 + 9*c**3 - 117/5*c**2 = 0.
1, 12
Let c(s) be the third derivative of s**8/6720 + 23*s**7/2240 + 17*s**6/960 - 143*s**5/30 - 222*s**2. Let m(f) be the third derivative of c(f). Factor m(r).
3*(r + 17)*(4*r + 1)/4
Determine k so that -3264/5*k - 116/5*k**3 - 1072/5*k**2 - 2304/5 - 4/5*k**4 = 0.
-12, -4, -1
Let -1936 - 16*f**2 - 2772*f + 656 + 588 = 0. What is f?
-173, -1/4
Find q such that 26 + 34 + 16 - 76 - 300*q + q**2 = 0.
0, 300
Let x(f) be the third derivative of -f**6/660 + 31*f**5/330 - 65*f**4/66 - 9378*f**2. Factor x(o).
-2*o*(o - 26)*(o - 5)/11
Let n(s) be the first derivative of s**3 - 45*s**2 + 243*s + 371. Factor n(h).
3*(h - 27)*(h - 3)
Let h(q) = 6*q - 21. Let o be h(5). Let g(c) = 6*c - 3. Let v be g(o). Factor v*f**4 - 26*f**4 - 5*f**2 - 5*f**3 - 20*f**4 + 5*f**5.
5*f**2*(f - 1)*(f + 1)**2
Let n(m) be the second derivative of 3*m**5/5 + 73*m**4/4 - 117*m**3 - 189*m**2/2 - 2649*m. Solve n(l) = 0.
-21, -1/4, 3
Let w(v) be the second derivative of -3*v**5/20 + 9*v**4/2 + v**3/2 - 27*v**2 + 157*v. Factor w(k).
-3*(k - 18)*(k - 1)*(k + 1)
Let t(m) = m**2 + 35*m + 280. Let i be ((-26)/91)/(-2) + 85/(-7). Let u be t(i). Factor 0*f - 4/7*f**u + 8/7*f**2 - 4/7 + 0*f**3.
-4*(f - 1)**2*(f + 1)**2/7
Let s(k) be the third derivative of -3*k**7/350 - 11*k**6/600 + 4*k**5/75 + k**4/30 + 6*k**2 + 137*k. Factor s(b).
-b*(b - 1)*(b + 2)*(9*b + 2)/5
Let t be (8 + -9)*8/44*1*-11. Let h(l) be the first derivative of -3*l + 3/2*l**4 + 3 - 2*l**3 + 9/5*l**5 - 9/2*l**t + 1/2*l**6. Factor h(n).
3*(n - 1)*(n + 1)**4
Let d(b) be the third derivative of -b**6/160 + 53*b**5/80 - 91*b**4/4 + 169*b**3/2 - 1253*b**2. Suppose d(x) = 0. Calculate x.
1, 26
Let x be ((-261)/(-145))/(2/20). Solve 32*b - 1520*b**3 + 36 + x*b + 2*b**4 - 6*b**2 + 1502*b**3 = 0 for b.
-1, 2, 9
Let o(u) be the first derivative of u**3/3 - u**2/2 - u - 93. Let p(h) = -2*h**2 - 7*h - 14. Let l(y) = o(y) + p(y). Find r such that l(r) = 0.
-5, -3
Factor 822607 + 2764*y - 4728638 + 9922*y - 670*y - 5117985 - 4*y**2.
-4*(y - 1502)**2
Let q(y) = -y**3 + 4*y**2 - 3*y. Let x be ((-480)/27)/(-8) + 2/(-9). Let v be q(x). Factor -4*b**3 - 104*b + 9*b - b + v*b**3 + 128 + 24*b**2.
-2*(b - 4)**3
Let h(d) = d**3 - 4*d**2 + 5*d - 16. Let q be h(5). Let i = 37 - q. Find u such that 19*u**2 - 13*u**2 - 9*u**2 + i*u**4 = 0.
-1, 0, 1
Let v(w) = 8*w**2 - 984*w + 1972. Let l(o) = o**2 + o + 3. Let y(q) = -4*l(q) + v(q). Factor y(c).
4*(c - 245)*(c - 2)
Let p be 6600/16500*3/2. Factor -6*r**3 - 36/5*r + p + 63/5*r**2.
-3*(r - 1)**2*(10*r - 1)/5
Let l(m) be the first derivative of -m**3/6 - 285*m**2/4 + 143*m - 1976. Suppose l(p) = 0. What is p?
-286, 1
Factor 3609*b**2 - 1199*b**2 + 1022*b - 1203*b**2 - 1209*b**2.
-2*b*(b - 511)
Let r(b) be the third derivative of -b**6/360 + b**5/40 + 5*b**4/12 + 3*b**3 + 2*b**2 - 10. Let w(i) be the first derivative of r(i). Factor w(d).
-(d - 5)*(d + 2)
Let m(g) be the third derivative of g**7/175 + g**6/60 + g**5/75 + 938*g**2. Factor m(n).
2*n**2*(n + 1)*(3*n + 2)/5
Suppose -16*p**3 + 2/3*p**4 + 0 + 202/3*p**2 + 84*p = 0. Calculate p.
-1, 0, 7, 18
Let f(b) = -2*b**2 + 12*b + 8. Let y be f(6). Factor 15*z**2 - 18*z**2 - y*z - 6 - z.
-3*(z + 1)*(z + 2)
Factor 198 - 1/2*l**3 + 1/2*l - 198*l**2.
-(l - 1)*(l + 1)*(l + 396)/2
Suppose 58 = 6*p - 38. Let w = 18 - p. Solve -3*f**4 - 4*f**5 - 8*f + 4*f**w + 55*f**3 - f**4 - 43*f**3 = 0 for f.
-2, -1, 0, 1
Let m be 10 + (-56 - -21) + 28. Factor 12*l + 0 + 4/3*l**m + 8*l**2.
4*l*(l + 3)**2/3
Let q be 980*(-59)/(-2360)*12/105. Factor -q + 2/5*d**2 + 12/5*d.
2*(d - 1)*(d + 7)/5
Let w(y) be the third derivative of 7*y**6/30 - 8*y**5/3 - 319*y**4/2 - 180*y**3 - 7*y**2 + 59*y. Suppose w(q) = 0. Calculate q.
-9, -2/7, 15
Let k(i) be the third derivative of i**8/181440 + i**7/945 + 4*i**6/45 + 9*i**5/5 + 134*i**2. Let l(c) be the third derivative of k(c). Solve l(b) = 0.
-24
Suppose 4/7*x**3 - 16/21*x**2 + 0 - 2/21*x**5 + 0*x**4 + 2/7*x = 0. What is x?
-3, 0, 1
Let r be -2 + ((-1044)/(-16))/9. Let h(o) be the first derivative of 3/2*o**6 + 0*o - 5*o**5 + 11 - o**3 - o**2 + r*o**4. Solve h(p) = 0 for p.
-2/9, 0, 1
Let d(h) be the first derivative of h**4/24 - 26*h**3/9 + 35*h**2 + 1200*h - 7309. Factor d(v).
(v - 30)**2*(v + 8)/6
Let l = 51148 + -51143. Factor 0 + 0*h - 16/5*h**2 - 2/5*h**l + 4/5*h**4 + 8/5*h**3.
-2*h**2*(h - 2)**2*(h + 2)/5
Let z(p) be the second derivative of -29/21*p**3 - 113*p - 13/21*p**4 - 3/7*p**2 + 0. Factor z(y).
-2*(y + 1)*(26*y + 3)/7
Let t(y) = y**2 + 5*y + 12. Suppose 0 = 10*b - 11*b - 6. Let d be t(b). Factor 12*u - 2*u**4 + 12*u**3 + u**4 + 3 + 9*u**4 + d*u**2 - 5*u**4.
3*(u + 1)**4
Let x = -126/5531 - -28663/44248. Factor 1/8*y**5 + 0*y + 1/2*y**2 + x*y**4 + y**3 + 0.
y**2*(y + 1)*(y + 2)**2/8
Let l be 16 - (45 + 5593/(-188)). Solve 0 - l*t**5 - 1/4*t**4 + 5/4*t**3 + 1/4*t**2 - 1/2*t = 0.
-1, 0, 2/3, 1
Let q(u) be the first derivative of 2*u**2 + 5/4*u**4 + 1/5*u**5 + 8/3*u**3 + 0*u - 59. Let q(p) = 0. Calculate p.
-2, -1, 0
Let l(c) = -7*c**3 + 7*c**2 + 50*c - 58. Let m(u) = 2*u**3 - 5*u**2 - u - 1. Let q(n) = l(n) + 2*m(n). What is g in q(g) = 0?
-5, 2
Let f = -16180 + 16182. Let k(v) be the second derivative of v + 2/3*v**3 - 1/6*v**4 + 0*v**f - 1/10*v**5 + 0. Suppose k(b) = 0. Calculate b.
-2, 0, 1
Let a(g) be the first derivative of 6*g + 110 + 13/6*g**3 - 1/16*g**4 - 49/8*g**2. Factor a(x).
-(x - 24)*(x - 1)**2/4
Factor 116/3*y + 160 + 4/3*y**2.
4*(y + 5)*(y + 24)/3
Let l(w) be the first derivative of -16*w**5 - 103*w**4 - 700*w**3/3 - 208*w**2 - 48*w - 801. Find b, given that l(b) = 0.
-2, -1, -3/20
Let s(u) be the first derivative of -u - 1/2*u**3 + 3*u**2 + 17 + 1/6*u**4 - 1/60*u**5. Let b(j) be the second derivative of s(j). Factor b(q).
-(q - 3)*(q - 1)
Let b be 6 + 12/((-19440)/9711). Let m(v) be the second derivative of -1/24*v**4 + 0*v**5 - 6*v + 1/18*v**3 + 0*v**2 + 0 + b*v**6. Factor m(p).
p*(p - 1)**2*(p + 2)/6
Let z = 586 - 131. Let n be -5 - (z/(-21) + 8). Factor -14/3*m**2 - n*m - 4.
-2*(m + 1)*(7*m + 6)/3
Let d(p) be the second derivative of 10/3*p**3 + 31*p + 25/12*p**4 + 1/24*p**6 + 0*p**2 + 1/2*p**5 + 0. Find n, given that d(n) = 0.
-4, -2, 0
Suppose 2*r - 7*r = -2*c - 12, 0 = -c - 1. Factor -11*o**r - 13*o**5 + 8*o**2 - 33*o**4 - 2*o**5 - 21*o**3.
-3*o**2*(o + 1)**2*(5*o + 1)
Let p(x) = 23*x**2 - 4*x - 3. Let d be p(-1). Suppose -2*y - 3*k + d - 5 = 0, 5*y + 3*k - 34 = 0. Solve 9 - 14 - 2*h**2 - 8*h**2 + y*h + 10*h = 0 for h.
1/2, 1
Let j(c) be the first derivative of -257 - 3/2*c**2 + 17/6*c**3 + 0*c - 5/8*c**4. Factor j(p).
-p*(p - 3)*(5*p - 2)/2
Let d be (1/5*(-16155)/(-718))/((-3)/(-2)). Let q(r) be the second derivative of 1/24*r**4 + 16*r**2 + 0 - 4/3*r**d + 12*r. Solve q(p) = 0.
8
Factor -40/11*p**2 + 2/11*p**4 + 2/11*p**3 + 0 + 0*p.
2*p**2*(p - 4)*(p + 5)/11
Let i be 9/1*24/36. Let m(q) = 3*q - 15. Let a be m(i). Factor 2*o**3 + a*o + 4*o**3 + o**3 + 3*o**4 + 9*o**2 + 2*o**3.
3*o*(o + 1)**3
Let m(d) be 