300 - 18*u**5/25 + 73*u**4/20 - 22*u**3/3 + 3*u**2 + 110*u. Factor k(t).
-2*(t - 1)**2*(t + 110)/5
Let t(c) = -5*c**4 - 9*c**3 + 15*c**2 + 21*c + 14. Let p(y) = -5*y**4 - 10*y**3 + 15*y**2 + 20*y + 15. Let r(a) = 4*p(a) - 5*t(a). Factor r(h).
5*(h - 2)*(h + 1)**3
Let m(f) be the first derivative of -5*f**6/6 + 20*f**5 - 105*f**4 + 710*f**3/3 - 535*f**2/2 + 150*f - 416. Solve m(l) = 0 for l.
1, 2, 15
Suppose -5*f = -7*f - 4*q + 4, -4*q = -2*f + 12. Suppose 3*l**5 - l**f + 2*l**2 - 2*l**5 + 8*l + 8*l**3 - 5*l**3 - 9*l**3 + 2*l**2 = 0. Calculate l.
-2, -1, 0, 2
Suppose 23*v + 2*n + 296 = 26*v, 0 = 5*v + 4*n - 486. Find l, given that -44*l**3 - 136*l**2 + 110 - 60 - 140*l - v = 0.
-12/11, -1
Let j = -2076 - -2070. Let g be 18704/(-6012)*(j/4 + 1). Determine v so that -16/9*v**2 + g*v + 2/9 = 0.
-1/8, 1
Let h(c) be the second derivative of c**7/42 - 11*c**6/15 + 97*c**5/20 + 22*c**4 + 24*c**3 + 179*c + 2. Find o, given that h(o) = 0.
-1, 0, 12
Suppose -c = -t + 15, 5*t - 6*t + 27 = 3*c. Factor -t*h**2 - 5*h**3 + 10*h + 41*h**2 + 0 + 1 - 1.
-h*(h - 5)*(5*h + 2)
Let v(p) be the first derivative of -2*p**5/65 + 23*p**4/26 - 356*p**3/39 + 516*p**2/13 - 720*p/13 + 3762. Let v(z) = 0. What is z?
1, 6, 10
Let v = 303/2 + -154. Let d = v + 4. Determine g so that -9/8 - 3/8*g**2 + d*g = 0.
1, 3
Solve 673 + 5*q**2 - 2028 + 346994605*q - 346993255*q = 0 for q.
-271, 1
Find n, given that 0*n + 0 - 423/5*n**2 + 3/5*n**5 - 429/5*n**4 + 849/5*n**3 = 0.
0, 1, 141
Let n = 52159/5670 + -1463/162. Let y = -2/35 + n. Find o, given that 1/9*o**4 - 2/9*o**2 + y + 1/9*o**5 - 2/9*o**3 + 1/9*o = 0.
-1, 1
Let f(x) be the second derivative of -4/27*x**3 + 0*x**2 + 0*x**4 - 15*x + 1/90*x**5 + 0. Factor f(a).
2*a*(a - 2)*(a + 2)/9
Let f(a) be the second derivative of -a**5/15 + 7*a**4/3 - 232*a**3/9 + 64*a**2 + 7855*a. Determine c, given that f(c) = 0.
1, 8, 12
Let m be (-12)/(-3 + 4 + -3). Suppose -m*z = 2*z - 16. Factor -104*s**3 + 13*s**4 - 35*s**z + 12*s**4 + 15*s + 10 + 89*s**3.
5*(s - 1)**2*(s + 1)*(5*s + 2)
Let l(y) be the second derivative of -y**4/12 - 16*y**3/3 + 520*y**2 + 4134*y. Let l(x) = 0. What is x?
-52, 20
Let f = -184225 - -184228. What is o in 3072/7*o**f + 17280/7*o**2 + 20250/7 + 32400/7*o = 0?
-15/8
Let x = 110603851/1239 - 70813/177. Let 1119744/7 - x*h - 12000/7*h**3 + 129600/7*h**2 + 1250/21*h**4 = 0. Calculate h.
36/5
Let -3/5*n**2 + 7392/5 - 738*n = 0. What is n?
-1232, 2
Let b(j) be the first derivative of -j**5/20 - 23*j**4/8 - 68*j**3/3 + 23*j**2/4 + 273*j/4 - 8775. Determine o so that b(o) = 0.
-39, -7, -1, 1
Let a(c) be the third derivative of 0*c**3 + 1/1008*c**8 + 0*c**5 + 2*c + 0*c**4 + 8/315*c**7 + 8/45*c**6 + 23*c**2 + 0. Let a(y) = 0. What is y?
-8, 0
What is q in -28/3*q**2 - 2/3*q**5 + 20/3 + 8/3*q**4 + 16/3*q**3 - 14/3*q = 0?
-2, -1, 1, 5
Let v(f) be the third derivative of f**5/540 + 109*f**4/54 - 4*f**2 + 218*f. Factor v(o).
o*(o + 436)/9
Let j be (3 - -7 - 4)/(-2). Let h be -1 + j - 3 - -9. Factor 2/5*d**h + 6/5*d**4 - 2*d**3 + 0*d + 18/5*d**5 + 0.
2*d**2*(d + 1)*(3*d - 1)**2/5
Let x(s) = -s**2 + 5*s - 12. Let b be x(4). Let f be 4 + b/3 + (-10)/(-15). Determine a so that 5/2*a**4 + 3*a + 7/2*a**f + 0 - 9*a**3 = 0.
-2/5, 0, 1, 3
Suppose -38*q**2 + 1425*q - 5*q**3 - 575*q - 37*q**2 - 590*q - 180 = 0. What is q?
-18, 1, 2
Let w(q) be the second derivative of q**5/50 - 7*q**4/6 + 67*q**3/15 - 33*q**2/5 + 2*q + 1387. Factor w(m).
2*(m - 33)*(m - 1)**2/5
Let k = -227 + 229. Suppose -3*o**4 - 3*o**3 + 258*o**5 + k*o**2 + 0*o**3 - 256*o**5 = 0. What is o?
-1, 0, 1/2, 2
Let z = 1587004 - 1587001. What is n in 69/4*n + 3/4*n**z + 3/4*n**4 - 15/2 - 45/4*n**2 = 0?
-5, 1, 2
Let d(h) be the first derivative of 4*h**4/3 + 14*h**3/3 - 4*h**2 + 33*h + 131. Let l(z) be the first derivative of d(z). Factor l(v).
4*(v + 2)*(4*v - 1)
Factor -143 - 4*p**3 - 3037*p**2 + 5*p**3 + 1665 + 3084*p**2 + 511*p + 95.
(p + 7)**2*(p + 33)
Let f(l) be the second derivative of 3*l**5/25 - 39*l**4/10 + 35*l**3 - 234*l**2/5 + 11*l + 3. Factor f(j).
6*(j - 13)*(j - 6)*(2*j - 1)/5
Let y(c) = 12*c**2 + 22*c + 10. Let s be -5 + 6 - (-28 - -35). Let b(u) = -7 - 11*u**2 - 21*u + 0 - 3. Let o(z) = s*y(z) - 7*b(z). Factor o(k).
5*(k + 1)*(k + 2)
Let r(w) be the second derivative of -w**6/1440 + 7*w**5/120 - 9*w**4/32 + 95*w**3/3 - w - 95. Let y(t) be the second derivative of r(t). Factor y(x).
-(x - 27)*(x - 1)/4
Suppose -30*q + 82 - 366 = -172*q. Factor -1/3*k**4 + 2/3 + k**3 - 1/3*k**q - k.
-(k - 2)*(k - 1)**2*(k + 1)/3
Suppose -3*i - 3 - 21 = -4*j, -4*i = -16. Let a be ((-105)/20 - -6) + j/4. Determine n, given that -6/7*n**2 + 2/7*n**4 - 4/7*n + 0*n**a + 0 = 0.
-1, 0, 2
Let i(y) be the first derivative of -57/4*y**2 + 12*y - 5/4*y**3 - 61. Factor i(a).
-3*(a + 8)*(5*a - 2)/4
Find v, given that 93/2*v - 33/2*v**2 + 3/2*v**3 - 63/2 = 0.
1, 3, 7
Let o(j) be the second derivative of 7*j**6/15 - 23*j**5/10 - 11*j**4/3 + 8*j**3/3 + 142*j + 4. Factor o(l).
2*l*(l - 4)*(l + 1)*(7*l - 2)
Let a be 1/(-4 + 3) + (-5)/(-15)*9. Let k(p) be the third derivative of 3*p**a + 0*p + 25/12*p**3 - 5/24*p**4 + 0 + 1/120*p**5. Factor k(r).
(r - 5)**2/2
Factor -7108 + 299*i**3 - 2517 - 239*i**2 - 7800*i - 64*i**2 - 302*i**3 + 2125.
-3*(i + 1)*(i + 50)**2
Let d(b) be the first derivative of -3*b**4 + 0*b**2 + 8/3*b**3 + 4/5*b**5 + 0*b + 16. Let d(z) = 0. Calculate z.
0, 1, 2
Suppose 531*g + 1198 = 91*g + 2078. Determine t so that -8/7*t + 2/7*t**3 - 1/7*t**4 + 4/7 + 3/7*t**g = 0.
-2, 1, 2
Let i(c) be the first derivative of c**9/4536 - c**7/420 + c**6/270 - 88*c**3/3 + 115. Let n(a) be the third derivative of i(a). Solve n(s) = 0.
-2, 0, 1
Let l(t) = 25*t**2 + 704*t - 25287. Let x(d) = 10*d**2 + 280*d - 10115. Let h(p) = 5*l(p) - 13*x(p). Find f such that h(f) = 0.
-46, 22
Let b be -2*(-1)/(0 + -2 + 3). Suppose -2*v**2 - v**b - 33*v + 1718 - 1748 = 0. Calculate v.
-10, -1
Let x(d) be the second derivative of -d**4/66 + 602*d**3/33 - 90601*d**2/11 - 4326*d. Factor x(n).
-2*(n - 301)**2/11
Suppose -4*g + 17 = 9. Suppose -19 + 29 = g*w. Factor -42*l**5 + 22*l**w + 4*l**4 + 26*l**5 - 2*l**3.
2*l**3*(l + 1)*(3*l - 1)
Let i(f) be the third derivative of f**7/14 - 37*f**6/72 + f**5/12 + 5*f**4/8 + 23*f**3/3 + 33*f**2 - 2. Let g(l) be the first derivative of i(l). Factor g(s).
5*(s - 3)*(3*s - 1)*(4*s + 1)
Factor 27/7 + 53/7*w - 1/7*w**3 + 25/7*w**2.
-(w - 27)*(w + 1)**2/7
Let v(x) be the second derivative of -x**7/1680 + x**6/60 - 29*x**5/240 + 3*x**4/8 - 20*x**3/3 - 85*x. Let f(z) be the second derivative of v(z). Factor f(r).
-(r - 9)*(r - 2)*(r - 1)/2
Let t(k) be the second derivative of 0 + 6*k - 2/105*k**7 + 0*k**6 + 0*k**2 + 0*k**3 + 1/25*k**5 + 0*k**4. Let t(l) = 0. What is l?
-1, 0, 1
Suppose -3*j = 5*v + 6, 0 = 4*v + 30202*j - 30198*j + 16. Factor 24/5*a**2 + 28/5*a**4 + 2/5*a**5 + 0*a + 0 + 10*a**v.
2*a**2*(a + 1)**2*(a + 12)/5
Find h such that 4/9*h**5 + 16/9*h**3 - 16/9 - 22/9*h**4 + 38/9*h**2 - 20/9*h = 0.
-1, -1/2, 1, 2, 4
Let g(b) be the third derivative of 0 - 65*b**2 - 3/8*b**4 + 0*b - 1/20*b**5 + 2*b**3. Suppose g(u) = 0. What is u?
-4, 1
Suppose -9*n = -428 + 392. Let x(m) be the second derivative of -1/10*m**6 + 1/4*m**n + 0*m**3 + 3*m - 1/14*m**7 + 0 + 3/20*m**5 + 0*m**2. Factor x(b).
-3*b**2*(b - 1)*(b + 1)**2
Solve 1/2*s**5 + 59/2*s**3 + 12*s**4 + 0*s + 0 - 210*s**2 = 0.
-20, -7, 0, 3
Let z = -230 + 246. Let 12*j**4 - 24 + z*j**4 + 10*j**4 + 4*j**5 - 14*j**4 - 44*j + 40*j**3 = 0. Calculate j.
-3, -2, -1, 1
Let z be 0 + (2 - (-35)/(-5)). Let v be (-124)/52 - (z + 2). Solve v + 2/13*a**2 - 10/13*a = 0 for a.
1, 4
Factor 5*g**5 - 104*g**3 - 150*g**2 + 10*g**4 - 135*g**3 - 36*g**3 - 130*g**2.
5*g**2*(g - 7)*(g + 1)*(g + 8)
Let q(w) be the first derivative of -5*w**2/2 - 2*w - 23. Let r be q(-1). Determine o so that 2*o - 2*o**2 + 212*o**r + 2 - 214*o**3 + 0 + 0*o = 0.
-1, 1
Let h(f) = -10*f**3 + 53*f**2 - 101*f - 153. Let l(g) = -2*g**3 + 11*g**2 - 20*g - 31. Let s(m) = 2*h(m) - 11*l(m). Factor s(o).
(o - 5)*(o + 1)*(2*o - 7)
Let z(q) = -36*q**2 + 100*q - 11. Let t = -10 + -1. Let w(y) = -y**2 - 6*y**2 + 11*y - 9 + 7 + 9*y. Let f(r) = t*w(r) + 2*z(r). Factor f(m).
5*m*(m - 4)
Factor -36*l**4 + 128 + 96*l - 140*l**3 - 47*l**2 + 69*l**2 - 184*l**2 + 340*l**3 - 174*l**2.
-4*(l - 2)*