 4/(-10) - (-128)/20. Find f such that 13*f - y*f**2 - 5*f - 3*f - d*f = 0.
-1/8, 0
Suppose 0 = -o + 4*j - 8, -3*o - 4*j - 3 = -9*j. Suppose 2*v = -2*c + 6*v + 96, -c + 33 = 3*v. Factor -5*p**2 - c*p + o*p + 73*p.
-5*p*(p - 7)
Factor 334560/11*o + 1638/11*o**2 - 336200/11 + 2/11*o**3.
2*(o - 1)*(o + 410)**2/11
Let o = 47 + -44. Suppose 0 = -2*a - 4*m + 36, -a + 2*m = -o*m - 11. Determine x so that 66 - 66 - x**2 - a*x - 3*x**2 = 0.
-4, 0
Let i(l) be the first derivative of -l**5/10 - 9*l**4/40 + l**3/10 - 81*l**2/2 - 82. Let u(y) be the second derivative of i(y). Find g, given that u(g) = 0.
-1, 1/10
Let k be (143 - 153) + 82/8. Let s(a) be the second derivative of -k*a**5 + 0 + 5/6*a**3 - 5/12*a**4 + 5/2*a**2 + 15*a. Determine y so that s(y) = 0.
-1, 1
Let k(c) be the third derivative of c**5/15 + 664*c**4/3 + 881792*c**3/3 + 60*c**2 + 14*c. Factor k(v).
4*(v + 664)**2
Suppose 1/7*a**2 - 1310/7*a + 429025/7 = 0. What is a?
655
Let c(z) = -5*z**3 - 13*z**2 - 17*z - 9. Let k(i) = -85*i**3 - 220*i**2 - 290*i - 155. Let f = 50 - 48. Let u(m) = f*k(m) - 35*c(m). Factor u(d).
5*(d + 1)**3
Let x = 15919/2 - 7958. Let c(w) be the second derivative of 1/4*w**4 + w**3 - 23*w + 0 + x*w**2. Solve c(k) = 0 for k.
-1
Let u(h) be the third derivative of -2 + 2/105*h**7 + 0*h + 19*h**2 - 1/5*h**6 - 2/3*h**4 + 0*h**3 + 3/5*h**5. Factor u(c).
4*c*(c - 4)*(c - 1)**2
Suppose -1052*o = -1049*o. Let a(i) be the third derivative of -15*i**2 - 1/2*i**3 - 1/16*i**6 - 1/140*i**7 + o + 0*i - 9/40*i**5 - 7/16*i**4. Factor a(y).
-3*(y + 1)**3*(y + 2)/2
Let v be (-78)/(-56) + ((-8)/36 - (-111)/(-108)). Factor -v*g**2 + 2/7*g + 0.
-g*(g - 2)/7
Let x(o) = -o**3 + o**2. Let g be 6 - (-9)/((-72)/40). Let r(z) = -3*z**3 - 4*z**2 - 20*z. Let d(q) = g*r(q) - 4*x(q). Suppose d(p) = 0. Calculate p.
-2, 0, 10
Let t = -21/10658 - -32079/53290. Determine d, given that -t*d**4 - 9/5*d**2 + 12/5 + 3*d - 3*d**3 = 0.
-4, -1, 1
Suppose t = -3*w - 1, 5*w = 8*t - 6*t - 9. Let f(k) be the second derivative of 24*k + 0 - 14/3*k**3 + 49*k**t + 1/6*k**4. Factor f(m).
2*(m - 7)**2
Let d = -660 + 662. Factor -13*r + 11*r**d - 4*r - 6 - 16*r - r**3 + 15 + 14*r.
-(r - 9)*(r - 1)**2
Let h(c) = -c**3 + c**2. Let b(w) = 148*w**3 + 209*w**2 - 156*w + 24. Let o = 37 - 19. Let z be 22/o - 10/45. Let j(p) = z*h(p) + b(p). What is i in j(i) = 0?
-2, 2/7
Let z(b) be the third derivative of -b**9/241920 + b**8/20160 - b**7/5040 + 2*b**5/3 - 144*b**2. Let y(x) be the third derivative of z(x). Solve y(w) = 0.
0, 2
Let j(b) = -4*b**4 - 15*b**2 - 120*b - 15. Let t(a) = a**4 + a**3 - 2*a**2 - a + 3. Let u(c) = j(c) + 5*t(c). Factor u(y).
y*(y - 5)*(y + 5)**2
Let k(q) be the first derivative of 4*q**3/21 - 488*q**2/7 + 972*q/7 - 2088. Find d such that k(d) = 0.
1, 243
Let g(m) = -m**3 + m**2 + m + 2. Suppose -r + 9 = 6. Let t(h) = 199*h**3 - 2271*h**2 + 1245*h - 182. Let j(u) = r*g(u) + t(u). Factor j(o).
4*(o - 11)*(7*o - 2)**2
Let l(j) be the second derivative of -1/8*j**4 - 45/4*j**2 + 2*j**3 + 0 + 93*j. What is i in l(i) = 0?
3, 5
Let x(s) be the third derivative of -5*s**5/108 - 325*s**4/216 + 34*s**3/9 - 8077*s**2. Let x(b) = 0. What is b?
-68/5, 3/5
Let q = -118 - -314. Let y = q + -193. What is u in 1/2*u**y - 3/2*u**2 + 1/2*u**4 - 1 - 5/2*u = 0?
-1, 2
Let t = -4/8057 + 32248/40285. Suppose -t - 8/5*x**2 + 2/5*x**3 + 2*x = 0. What is x?
1, 2
Factor 19*t**3 - 93*t + 5*t**3 + 2352*t**2 + 8*t**3 - 2260*t**2 - 27*t - 4*t**4.
-4*t*(t - 10)*(t - 1)*(t + 3)
Let r(j) be the second derivative of j**4/42 + 2006*j**3/21 + 2005*j**2/7 + 15*j + 198. Determine o, given that r(o) = 0.
-2005, -1
Let m(q) be the first derivative of -940*q**3 - 167 + 10*q - 665/2*q**2. Factor m(c).
-5*(4*c + 1)*(141*c - 2)
Let r(i) be the second derivative of -i**6/45 + 6*i**5/5 + 83*i**4/3 + 884*i**3/9 + 141*i**2 + 23*i + 3. Solve r(g) = 0.
-9, -1, 47
Suppose 5394*v - 5932 = 3911*v. Factor 0 + 4/11*k**2 + 2/11*k**v - 6/11*k**3 + 0*k.
2*k**2*(k - 2)*(k - 1)/11
Let o(t) be the first derivative of -1/7*t**4 + 2/7*t**2 - 20/21*t**3 - 146 + 20/7*t. Solve o(c) = 0.
-5, -1, 1
Let s be (-3)/((-5)/7*(-29)/((-6264)/1134)). Solve -1 + 1/5*f**2 - s*f = 0.
-1, 5
Factor 0*t**2 - 3*t**3 + 1/7*t**4 + 0 + 196*t.
t*(t - 14)**2*(t + 7)/7
Determine v, given that 739*v - 546121/2 - 1/2*v**2 = 0.
739
Let n be 144/432 + (-26)/150. Let k(w) be the second derivative of -11/15*w**4 + 8/5*w**3 + 0 - 1/75*w**6 + n*w**5 - 9/5*w**2 + 12*w. Let k(l) = 0. Calculate l.
1, 3
Let t = 421 + -419. Suppose -20 = -3*j - 0*i + 5*i, -3*i = -j + 8. Factor 56 + j*f**t - f - 61 + f.
5*(f - 1)*(f + 1)
Suppose 0 = -12*c - 31643 + 31667. Let a(t) be the second derivative of 32*t + 1/48*t**4 + 0 + 1/12*t**3 - 3/8*t**c. Factor a(y).
(y - 1)*(y + 3)/4
Let h(d) be the third derivative of -d**8/1680 - 2*d**7/105 - 33*d**6/200 - 22*d**5/75 + 26*d**4/15 - 6*d**2 - 142*d - 2. Solve h(c) = 0.
-13, -4, 0, 1
Suppose -12*o = -0*o - 24. Factor 3*r + 15*r**5 + 15*r**5 + 6*r**4 - 53*r**5 - 6*r**o + 20*r**5.
-3*r*(r - 1)**3*(r + 1)
Suppose 265*z = 270*z - k - 25, -5*k = -3*z + 37. Let o(y) be the first derivative of -10 + 0*y - 3/8*y**z + 0*y**2 - y**3. Determine m so that o(m) = 0.
-2, 0
Let u(t) be the first derivative of -4*t**5/5 - 141*t**4 + 4*t**3 + 842*t**2 - 1128*t - 6790. Suppose u(s) = 0. Calculate s.
-141, -2, 1
Let d(y) be the first derivative of 2*y**5/15 - 37*y**4/3 + 694*y**3/3 + 12136*y**2/3 + 53792*y/3 - 3930. Factor d(n).
2*(n - 41)**2*(n + 4)**2/3
Let i be (-879)/90 + (-2)/(-12) + 10. Let h(r) be the first derivative of 0*r**2 - i*r**5 + 0*r - 4/15*r**3 + 1 + 11/10*r**4. Factor h(q).
-2*q**2*(q - 2)*(5*q - 1)/5
Let i = 305 + -303. Let 0*d**4 + 100*d - 35 + 12*d**4 - 7*d**4 + 20*d**3 - 90*d**i = 0. What is d?
-7, 1
Factor 9 - 95*b - 309 + 3*b**2 + 0*b**2 - 8*b**2.
-5*(b + 4)*(b + 15)
Suppose 36 + 156*y + 172*y**2 - 637*y**3 + 1307*y**3 - 650*y**3 - 32*y**4 = 0. What is y?
-1, -3/8, 3
Let a be 68/119*-14 + 480/45. Determine i, given that 0 + a*i - 1/3*i**2 = 0.
0, 8
Find d such that 15 - 466*d + 3 + 0 + 90 + 30 + 20*d**2 = 0.
3/10, 23
Suppose 14*o - 10*o = 208. Factor 12*k**2 - 17*k - 3*k**3 + o + 3*k**2 - 40 - 7*k.
-3*(k - 2)**2*(k - 1)
Let j(u) be the first derivative of -u**3 + 561*u**2 - 104907*u - 1217. Suppose j(d) = 0. Calculate d.
187
Let o = 9 - 2. Find q, given that 33*q**4 + o*q**4 + 3*q**5 + 2*q**5 - 5*q**4 - 3 + 23 + 95*q**3 + 125*q**2 + 80*q = 0.
-2, -1
Let b(j) be the first derivative of 2/5*j**5 + 0*j + 5/2*j**4 + 0*j**2 + 2*j**3 + 66 - 1/3*j**6. Factor b(z).
-2*z**2*(z - 3)*(z + 1)**2
Let c(n) be the second derivative of -3*n**5/25 - 73*n**4/30 - 79*n**3/15 - 22*n**2/5 - 2*n + 2248. Suppose c(j) = 0. Calculate j.
-11, -2/3, -1/2
Let z(g) be the first derivative of -1/72*g**4 - 5*g - 1/12*g**2 - 1/18*g**3 - 4. Let k(c) be the first derivative of z(c). Let k(p) = 0. What is p?
-1
Let a(i) = -3*i**2 - 769*i + 76817. Let j(y) = -y**2 - 386*y + 38410. Let v(b) = 2*a(b) - 5*j(b). Factor v(m).
-(m - 196)**2
Let l = 38 + -22. Let c = 5509 - 5507. Factor -80*d**c + 39*d + 35*d**3 + 4 - 14 + l*d.
5*(d - 1)**2*(7*d - 2)
Let w be ((-14)/(-14))/(1 + 18/(-20)). Factor 11*h + 29*h + 35*h**2 + 5*h + w*h + 5*h**3 + 25.
5*(h + 1)**2*(h + 5)
Suppose -2*u - 4*r = 6, -14*r - 9 = -u - 12*r. Solve -14/5*a**5 + 8*a**2 - 4/5*a**4 + 0 + 8/5*a + 42/5*a**u = 0 for a.
-1, -2/7, 0, 2
Let k(m) be the third derivative of -95/42*m**4 + 100/21*m**3 - 13/210*m**6 + 2/735*m**7 - 28*m + 0 + 2*m**2 + 19/35*m**5. Factor k(p).
4*(p - 5)**2*(p - 2)*(p - 1)/7
Let j(x) = -x**2 - x + 1. Let h(t) be the third derivative of t**5/30 + 13*t**4/8 - 109*t**3/2 - 97*t**2. Let o(m) = h(m) + 3*j(m). Suppose o(g) = 0. What is g?
18
Let g be -2 - ((-6)/(-30) - (-102)/(-10)). Suppose 3*x - 22 = g. What is l in -x*l**3 + 8*l**4 + 15*l**2 - 10*l**3 - 3*l**4 = 0?
0, 1, 3
Let g(t) be the second derivative of -t**5/16 + 175*t**4/48 + 805*t**3/24 - 975*t**2/8 - 7*t - 101. Factor g(m).
-5*(m - 39)*(m - 1)*(m + 5)/4
Let 2*x - x**2 + 27 - 45 + 2*x**2 - 20 - 25 = 0. What is x?
-9, 7
Let r(z) be the second derivative of -4*z**6/3 + 77*z**5/5 + 250*z**4/3 - 406*z**3/3 + 60*z**2 - 50*z. Let r(t) = 0. What is t?
-3, 1/5, 1/2, 10
Suppose -14*v + 9 + 61 = 0. Factor -435*l**v - 13*l**3 + 438*l**5 + 4*l**3 - 6*l**2.
3*l**2*(l - 2)*(l +