Let x(f) = g*c(f) + t(f). Factor x(m).
-(m + 1)*(6*m + 1)
Let a be (((-9)/1)/3*1)/13. Let n = 35/39 + a. Factor -4/3*x - 2/3 - n*x**2.
-2*(x + 1)**2/3
Suppose -36*i + 12*i**4 - 26285 + 444*i**2 + 484*i + 26093 - 184*i**3 = 0. Calculate i.
-1, 1/3, 4, 12
Let p(d) = -2*d**2 - 5*d. Suppose -5*q - 3*c = -2*q + 15, q + 7 = -2*c. Let l(x) = x**2 + x. Let r(k) = q*l(k) - p(k). Suppose r(j) = 0. Calculate j.
0, 2
What is n in -16/13*n**2 - 10/13*n - 8/13*n**3 - 2/13 = 0?
-1, -1/2
Let o(q) = -q**2 - q + 3. Let d be o(0). Factor d + 54*r**2 - 2*r**5 + r**5 - 66*r**3 - 8*r**5 + 39*r**4 + 35*r - 56*r.
-3*(r - 1)**4*(3*r - 1)
Let w(v) be the third derivative of 5*v**8/336 + v**7/14 - 5*v**6/12 + v**5/6 + 15*v**4/8 - 25*v**3/6 - 12*v**2. Factor w(r).
5*(r - 1)**3*(r + 1)*(r + 5)
Let v = -543 - -1115/2. Let o = -13 + v. Solve 3/2*r**4 - o*r**2 - 1/2*r**3 + 0 + r - 1/2*r**5 = 0 for r.
-1, 0, 1, 2
Factor -44*m + 0 + 0 + 47 + 60 - 11 - 2*m**2.
-2*(m - 2)*(m + 24)
Let l(v) be the third derivative of -3*v**6/40 - v**5/4 - v**4/8 + v**3/2 - 83*v**2. Factor l(q).
-3*(q + 1)**2*(3*q - 1)
Find z, given that -11701*z**3 + 11681*z**3 + 8*z - 44*z**2 + 9 + 23 = 0.
-2, -1, 4/5
Solve 29959*m - 21876 - 5*m**4 - 455*m**3 + 2236*m - 9645*m**2 - 6509 + 6295 = 0 for m.
-47, 1, 2
Factor -7*p**2 + 0 + 9*p + 2/3*p**3.
p*(p - 9)*(2*p - 3)/3
Let j = -996 - -6976/7. Let h(z) be the first derivative of j*z + 9 - 2/21*z**3 - 1/7*z**2. Factor h(s).
-2*(s - 1)*(s + 2)/7
Suppose 0 = -2*q - 2. Let h(n) = -n**2 + n. Let w(l) = 2*l**2 - l - 1. Let s(j) = q*w(j) - 6*h(j). Solve s(p) = 0 for p.
1/4, 1
Let m be -1 + 5/(-15)*-6 - (-23)/7. Suppose -m*v**2 + 18/7*v - 4/7 + 22/7*v**3 - 6/7*v**4 = 0. Calculate v.
2/3, 1
Let t(p) = 4*p**4 - 26*p**3 + 98*p - 70. Let y(n) = -11*n**4 + 79*n**3 - n**2 - 293*n + 209. Let r(w) = 17*t(w) + 6*y(w). Let r(h) = 0. Calculate h.
-16, -2, 1
Let v(b) = 8*b**3 + 84*b**2 + 90*b - 7. Let o(r) = 6*r**3 + 56*r**2 + 60*r - 5. Let i(p) = -7*o(p) + 5*v(p). Find f, given that i(f) = 0.
-1, 0, 15
Let m(x) be the third derivative of 1/120*x**6 - 36*x**2 + 1/6*x**3 + 1/20*x**5 + 0*x + 0 + 1/8*x**4. Solve m(u) = 0.
-1
Let t be (-3)/18 - (-8)/48. Let i(u) be the third derivative of -1/60*u**4 + 1/300*u**5 + 0*u - 5*u**2 + t + 1/30*u**3. Factor i(c).
(c - 1)**2/5
Suppose -3*q = -0*q + 6. Let j(l) = -2*l - 1. Let i be j(q). Factor -k**2 + 6*k**2 - 2*k**3 + k**2 - i*k - k**3.
-3*k*(k - 1)**2
Let t = -67739 - -6706718/99. Let s = -49/9 + t. Let 2/11 - s*y**3 - 2/11*y**2 + 2/11*y = 0. Calculate y.
-1, 1
Suppose 354*h = 338*h + 80. Factor 0*r - 1/6*r**2 + 1/6*r**4 + 0 + 1/6*r**3 - 1/6*r**h.
-r**2*(r - 1)**2*(r + 1)/6
Suppose -o = 3*v - 8, 7*o - 20 = -5*v + 2*o. Factor -3 - 3 + 4 + 2*c + 1 - c**v.
-(c - 1)**2
Let n(z) = 14*z**2 + 100*z + 56. Let f(s) = 2*s**2 + 14*s + 8. Let j(i) = 44*f(i) - 6*n(i). Find c, given that j(c) = 0.
-2
Let y(r) be the third derivative of -r**7/5040 + r**6/180 - r**5/15 + 4*r**4/9 - 11*r**3/6 + 7*r**2. Let b(g) be the first derivative of y(g). Factor b(d).
-(d - 4)**3/6
Suppose 10 = 10*k - 10. Factor 17 + 11*v**2 + 3*v**3 + 2*v - k - 2*v**2 - 29*v.
3*(v - 1)**2*(v + 5)
Find j such that -20/7 - 4/7*j + 8/7*j**3 - 20/7*j**4 - 4/7*j**5 + 40/7*j**2 = 0.
-5, -1, 1
Let i = 71/1991 + 10/181. Let d(n) be the first derivative of -7 + 2/11*n**2 + 2/55*n**5 - 2/33*n**3 + 0*n - i*n**4. Find g, given that d(g) = 0.
-1, 0, 1, 2
Let o(w) = -w + 4. Let p(r) = -4*r - 55. Let d be p(-14). Let m be o(d). Let -12/5*t**4 - 28/5*t**2 + 16/5 + 16/5*t - 8*t**m = 0. What is t?
-2, -1, 2/3
Let m(f) be the third derivative of -f**5/180 - 5*f**4/54 + 7*f**3/54 + 18*f**2. Factor m(q).
-(q + 7)*(3*q - 1)/9
Let w(o) be the second derivative of 22*o + 0 + 1/5*o**3 + 2/5*o**2 - 1/6*o**4. Factor w(f).
-2*(f - 1)*(5*f + 2)/5
Factor 16/11*d**2 - 10/11*d - 2/11*d**3 - 100/11.
-2*(d - 5)**2*(d + 2)/11
Let k = 12096 + -12096. Suppose 2*y**4 + k + 0*y**3 + 8*y - 1/2*y**5 - 8*y**2 = 0. Calculate y.
-2, 0, 2
Suppose -h = 14*h. Let u(o) be the third derivative of 1/72*o**4 + 1/252*o**7 + 5*o**2 + 0*o**3 + 1/80*o**6 + 1/2016*o**8 + 7/360*o**5 + 0 + h*o. Factor u(r).
r*(r + 1)**3*(r + 2)/6
Find w such that -16*w - 6*w + 6*w**4 - 106*w + 128*w**3 + 4*w**2 - 10*w**4 = 0.
-1, 0, 1, 32
Let r(l) be the first derivative of -l**8/420 + l**7/70 - 3*l**3 - 10. Let i(b) be the third derivative of r(b). Factor i(p).
-4*p**3*(p - 3)
Determine o, given that 35*o - o**2 - 24*o + 14*o - o**2 = 0.
0, 25/2
Let z = 59 - 57. Find r, given that -15*r**3 - 59*r**4 + 15*r - 10 + 17*r**4 + 26*r**4 + 5*r**z + 21*r**4 = 0.
-1, 1, 2
Let h(g) be the third derivative of -g**6/60 - 7*g**5/15 - 49*g**4/12 - 452*g**2. Factor h(r).
-2*r*(r + 7)**2
Let b(k) = -k**2 - 9*k - 8. Let m be b(-6). Let w = m + -8. Determine a, given that 4*a**2 - 9*a**3 - 4*a**2 - 3*a + 3*a**4 + 9*a**w = 0.
0, 1
Let o(y) be the second derivative of y**4/28 + 5*y**3 + 525*y**2/2 + 19*y. Solve o(x) = 0 for x.
-35
Suppose 5*p = 24*p - 494. Determine w, given that -11*w**2 + 57 - 18*w**2 + 30*w**2 + 112 + p*w = 0.
-13
Let w(j) be the first derivative of 25*j**4/14 + 22*j**3/3 + 8*j**2 + 8*j/7 + 154. Solve w(i) = 0.
-2, -1, -2/25
Let v be 0/(6 - (-2 - -4)/2). Let f(c) be the second derivative of v - 9/20*c**5 + 1/10*c**6 + 3/2*c**3 + c - 3*c**2 + 1/4*c**4. Factor f(g).
3*(g - 2)*(g - 1)**2*(g + 1)
Let k(c) = c + 4. Let x be k(8). Let z = x + -6. Suppose 3*p**4 + p**3 - 3*p**2 + 6*p**5 - p**3 - z*p**3 = 0. Calculate p.
-1, -1/2, 0, 1
Let t(z) = -2*z**5 + 6*z**4 - 4*z**3 + 4. Let k = -89 + 85. Let d(m) = -3*m**5 + 7*m**4 - 5*m**3 + 5. Let r(i) = k*d(i) + 5*t(i). Find p, given that r(p) = 0.
-1, 0
Let m = -1/1933 + 11605/13531. Factor 0*b**2 - m*b + 4/7 + 2/7*b**3.
2*(b - 1)**2*(b + 2)/7
Let b(g) be the first derivative of 0*g + 15 + 2/5*g**5 + 0*g**2 - g**4 + 0*g**3. Factor b(d).
2*d**3*(d - 2)
Let c(r) be the first derivative of -21*r**4/16 + 27*r**3/4 - 12*r**2 + 9*r - 1002. Determine t so that c(t) = 0.
6/7, 1, 2
Let t(y) be the second derivative of y**5/30 + 11*y**4/18 + 10*y**3/9 - y + 15. Factor t(z).
2*z*(z + 1)*(z + 10)/3
Suppose 2*q - 15 = 5*m, -6 = -2*q - m - 3*m. Factor 0*o + 0 - 5 - 5*o + 0*o**2 + q*o**3 + 5*o**2.
5*(o - 1)*(o + 1)**2
Let a(x) be the third derivative of -x**8/840 - 2*x**7/525 + x**5/75 + x**4/60 + 288*x**2 + x. Determine i, given that a(i) = 0.
-1, 0, 1
Let w(s) be the first derivative of -s**5/4 + 6*s - 18. Let r(t) be the first derivative of w(t). Factor r(m).
-5*m**3
Let z = -206/3 - -69. Let j(d) be the first derivative of -z*d - 1/3*d**2 + 4 - 1/9*d**3. Factor j(n).
-(n + 1)**2/3
Let s(b) be the third derivative of 7*b**6/30 + 3*b**5/5 - 20*b**4/3 - 8*b**3 + 283*b**2. Factor s(k).
4*(k - 2)*(k + 3)*(7*k + 2)
Let c(a) = 2*a**3 + 7*a - 6. Let y be 1 - 0/(-3 + 2). Let n be c(y). Factor 0*v - 1/2*v**n + 1/4*v**2 + 0 + 1/4*v**4.
v**2*(v - 1)**2/4
Let m = 48/451 - -2965/1804. Factor -m*p - 1/4*p**2 + 0.
-p*(p + 7)/4
Let z(u) be the second derivative of 2*u**7/21 + 13*u**6/15 + 23*u**5/10 + 11*u**4/6 - 5*u**3/3 - 4*u**2 - 278*u. What is w in z(w) = 0?
-4, -1, 1/2
Let x(g) = -g**2 + 10*g - 3. Let m be x(5). Suppose 5*u - m = -4*d - 3, 4*u = 3*d + 9. Factor y**4 - 5*y**4 + 7*y**4 + u*y**3.
3*y**3*(y + 1)
Let d(x) = 2*x**2 + 3*x - 8. Let t be d(-6). Suppose 2*n = p, -2*n - 10 = 5*p - t. Let 3 + 3*j**2 - 2*j**2 - p*j + 2*j**2 = 0. Calculate j.
1
Let x(g) = g**3 - 11*g**2 - 13*g + 14. Suppose -w = 4*w - 60. Let a be x(w). Factor -54*i**2 + 52*i**2 - a - 4 - 8*i.
-2*(i + 1)*(i + 3)
Let i(v) be the second derivative of -v**4/12 - v**3/6 + 5*v**2/2 + v. Let x(d) = -d**2 - d + 6. Let j(y) = -4*i(y) + 3*x(y). Factor j(r).
(r - 1)*(r + 2)
Let j(w) = -6*w**2 + 2*w + 8. Let r be j(3). Let m be r/24 + 29/15. Find s, given that -2/15*s**4 + 2/15 - 4/15*s**3 + m*s + 0*s**2 = 0.
-1, 1
Let u(r) = -r**2 - 41*r + 452. Let p be u(9). Let y = 176/21 + -40/7. Factor -y*x**p + 2/3*x**4 + 1/3*x**5 + 0 - 4/3*x**3 + 0*x.
x**2*(x - 2)*(x + 2)**2/3
Let c be 8 + 935/(-119) - (-26)/14. Suppose -2/5 - 3/5*v**c + v = 0. Calculate v.
2/3, 1
Let m = 5678 - 5678. Factor -1/4*z**2 + m - 1/2*z.
-z*(z + 2)/4
Let p(k) be the first derivative of -8/85*k**5 - 10 + 2/17*k**2 - 2/17*k**4 - 2/17*k + 2/17*k**3. Solve p(h) = 0 for h.
-1, 1/2
Let q(y) = -5*y**2 + 1002*y - 48999.