1. Suppose 0*c = 31*c - w. Factor 0 + c*s**2 - 3*s - 1/3*s**3.
-s*(s - 3)**2/3
Factor 1/6*b**2 - 23/2 + 10/3*b.
(b - 3)*(b + 23)/6
Let x(v) be the third derivative of v**7/1050 + v**6/200 - v**5/75 - v**4/10 - 20*v**2 - 16*v. Factor x(h).
h*(h - 2)*(h + 2)*(h + 3)/5
Let v(c) = -c**3 + 15*c**2 - 25*c. Let f be v(13). Let j(q) = 3*q**2 - 39*q - 18. Let o(i) = -7*i**2 + 78*i + 39. Let u(h) = f*j(h) + 6*o(h). Factor u(s).
-3*s*(s + 13)
Let d(o) be the first derivative of 26*o**5/35 + 409*o**4/14 - 844*o**3/21 + 6110. Factor d(s).
2*s**2*(s - 1)*(13*s + 422)/7
Let p(t) be the second derivative of t**6/6 - 9*t**5/4 + 125*t**4/12 - 45*t**3/2 + 25*t**2 - 409*t. Suppose p(k) = 0. Calculate k.
1, 2, 5
Suppose -3*x + 4*x + 2*c = 15, 35 = x - 2*c. Determine l, given that -27*l**3 + 6*l**4 + x*l**3 - 5*l - 3*l - 16*l**2 = 0.
-1, -2/3, 0, 2
Factor 35/3*o + 4 - 4/3*o**4 - 1/3*o**5 + 32/3*o**2 + 2*o**3.
-(o - 3)*(o + 1)**3*(o + 4)/3
Let s be ((-12)/(-10))/3 - (-164)/(-410). Suppose s = -c + 25 - 23. Factor -3 + 6*g**c - 21/2*g.
3*(g - 2)*(4*g + 1)/2
Let m(a) = -a**5 + a**4 + a**3 + a**2 - a + 1. Let k(v) = -10*v**5 - 5*v**4 + 40*v**3 + 5*v**2 - 15*v + 15. Let w(b) = k(b) - 15*m(b). Factor w(q).
5*q**2*(q - 2)*(q - 1)**2
Let u(x) be the third derivative of -5*x**8/336 - x**7/6 - 11*x**6/24 - 5*x**5/12 - 292*x**2 - 2*x. Factor u(z).
-5*z**2*(z + 1)**2*(z + 5)
Let a(k) = k + 26. Let h be 8/(-3)*9*(3 + -2). Let b be a(h). Factor 16*x - 4*x**3 + 2*x**2 - 2*x**5 - 4*x**4 - 11*x + b + x**5.
-(x - 1)*(x + 1)**3*(x + 2)
Suppose 0 = 2*b - 4, -3*b = -2*p - 28 + 68. Suppose p*n - 34 = 12. Determine y so that 2*y**2 + 16/3*y - n = 0.
-3, 1/3
Suppose -5*q + g + 204 = -6, 84 = 2*q + 5*g. Determine a so that 30*a - q - 3*a**2 - 11 - 10 = 0.
3, 7
Let x(n) be the first derivative of -n**4/24 - 49*n**3/9 - 2401*n**2/12 + 82. Solve x(o) = 0 for o.
-49, 0
Let u(i) be the first derivative of 56/11*i**3 + 98/11*i**2 - 9/11*i**4 + 197 - 2058/11*i + 2/55*i**5. Factor u(k).
2*(k - 7)**3*(k + 3)/11
Let x(t) be the second derivative of 3/8*t**4 - 5/12*t**3 + 0*t**2 + 140 + 2*t + 1/20*t**5. Factor x(p).
p*(p + 5)*(2*p - 1)/2
Let l(h) be the first derivative of 101 + 2/5*h**4 + 0*h + 26/45*h**3 - 2/75*h**5 + 0*h**2. Find j such that l(j) = 0.
-1, 0, 13
Suppose -16*i**2 - 120 - 12*i**5 - 216*i**4 - 33782*i + 489*i**3 + 33476*i + 181*i**2 = 0. Calculate i.
-20, -1/2, 1, 2
Let k(u) be the second derivative of u**5/20 - 875*u**4/3 - 7003*u**3/6 - 1751*u**2 + 514*u - 4. Factor k(h).
(h - 3502)*(h + 1)**2
Let d(r) be the first derivative of 3*r**5/5 + 18*r**4 + 85*r**3 + 153*r**2 + 120*r - 3403. Factor d(s).
3*(s + 1)**2*(s + 2)*(s + 20)
Solve 26/11*h**2 + 60/11*h - 2/11*h**3 + 0 = 0 for h.
-2, 0, 15
Let a(r) = r**3 - 7*r**2 - 28*r + 10. Let d be a(10). Suppose -25*l = -51*l + d*l. Factor l + 2/7*h**2 + 1/7*h**3 + 0*h.
h**2*(h + 2)/7
Let k be (-7)/(-6) + -2 - 6460/(-408). Let g(o) be the first derivative of k - 9/4*o**3 - 3/4*o**5 + 0*o - 9/4*o**4 - 3/4*o**2. Factor g(b).
-3*b*(b + 1)**2*(5*b + 2)/4
Let b(v) be the first derivative of -3*v**4/28 + v**3/7 + 54*v**2/7 - 108*v/7 + 1150. Factor b(z).
-3*(z - 6)*(z - 1)*(z + 6)/7
Suppose -2*d + 3*d + 11 = 0. Let z(t) = t**2 + 13*t + 25. Let b be z(d). Factor -2/9*a**b - 2/3*a**2 + 8/9*a + 0.
-2*a*(a - 1)*(a + 4)/9
Let z(p) be the first derivative of p**4/26 + 10*p**3/39 - 18*p**2/13 - 144*p/13 + 1080. Find h, given that z(h) = 0.
-6, -3, 4
Let -9*x - 3/7*x**3 - 30/7*x**2 + 0 = 0. Calculate x.
-7, -3, 0
Let n(v) be the first derivative of -16/5*v**5 - 54 - 7*v**4 - 8*v + 8*v**3 + 14*v**2. Suppose n(s) = 0. What is s?
-2, -1, 1/4, 1
Let d = -24 + 44. Suppose -5*g + 5*u = -30, 6*g - 3*g = 4*u + d. Solve 0 - 14/19*k**3 + 12/19*k**g + 2/19*k + 0*k**2 = 0.
-1/3, 0, 1/2, 1
Let y(c) be the second derivative of 2/35*c**6 - 1/7*c**5 + 105*c - 1/147*c**7 - 6/7*c**2 + 0*c**4 + 0 + 11/21*c**3. Solve y(i) = 0.
-1, 1, 2, 3
Let i(v) be the first derivative of -2*v**5/35 - 10*v**4/7 + 2*v**3 + 196*v**2 - 392*v + 2550. Solve i(j) = 0.
-14, 1, 7
Suppose -912*h + 1889 + 2190 = 1343. Suppose 1 - 11/5*v + 7/5*v**2 - 1/5*v**h = 0. What is v?
1, 5
Suppose -16*b = -19*b - g + 10, -2*g + 10 = b. Suppose -8/9 + 0*v + 2/9*v**b = 0. Calculate v.
-2, 2
Let h(k) = 2*k**2 + 16*k + 21. Let o be h(-9). Suppose 4*a - o*w = -44*w + 8, 0 = 4*a + w - 8. Factor -1/2*v + 1/2*v**3 + 1/2*v**a + 0 - 1/2*v**4.
-v*(v - 1)**2*(v + 1)/2
Let b(h) = 22*h**2 + 968*h - 139. Let t(f) = -f**2 - 5*f + 1. Let g(o) = b(o) + t(o). Factor g(q).
3*(q + 46)*(7*q - 1)
Let a be ((2/(-11))/((-17)/((-102102)/(-117))))/4. Let -4/3 + 4*m**3 - a*m**4 - 4*m + 11/3*m**2 = 0. Calculate m.
-1, -2/7, 1, 2
Let r be 13 - -2 - (-5 + 6 + 10). Let g(f) be the third derivative of 1/12*f**r + 0*f + 7*f**2 - f**3 + 1/18*f**5 + 1/180*f**6 + 0. Factor g(u).
2*(u - 1)*(u + 3)**2/3
Suppose 0 = -y + 9*k - 61, 5*y - 139*k + 135*k = -18. Let 1 - n**4 - 16/5*n**y - 4/5*n - 2/5*n**5 + 22/5*n**3 = 0. What is n?
-5, -1/2, 1
What is a in 640 + 277*a + 341*a - 45*a**2 - 18*a - 5*a**3 = 0?
-16, -1, 8
Factor -584/5*o + 2/5*o**3 + 0 - 288/5*o**2.
2*o*(o - 146)*(o + 2)/5
Let v(f) be the third derivative of -2*f**5/75 - 53*f**4/60 - 4*f**3 - 41*f**2 - 5. Factor v(g).
-2*(g + 12)*(4*g + 5)/5
Let 214*a - 853*a - 295*a**2 - 445*a**2 - 531*a - 5*a**4 + 2025 - 110*a**3 = 0. Calculate a.
-9, -5, 1
Let n(j) be the third derivative of j**5/480 + 5*j**4/192 + j**3/8 - 138*j**2 + 2*j. Determine t so that n(t) = 0.
-3, -2
Let p(m) be the first derivative of -m**6/960 + m**5/16 - 65*m**2/2 + m + 90. Let o(g) be the second derivative of p(g). Factor o(k).
-k**2*(k - 30)/8
Factor -26*s - 223*s**2 + 220*s**2 - 28*s - 84 + 6*s.
-3*(s + 2)*(s + 14)
Let l = -418025 + 1672153/4. Find y, given that 9 - 19*y - 7/2*y**3 + l*y**2 + 1/4*y**4 = 0.
1, 2, 9
Let k(t) be the first derivative of -t**3 + 678*t**2 - 6705*t - 14442. Let k(b) = 0. What is b?
5, 447
Let v(h) = -595*h - 53548. Let n be v(-90). Let 6125/4 + 5/4*l**n + 175/2*l = 0. What is l?
-35
Let l(o) be the third derivative of -o**6/210 + 27*o**5/70 - 131*o**4/42 + 37*o**3/7 - 515*o**2. Find s, given that l(s) = 0.
1/2, 3, 37
Let q(i) = -i**2 - 86*i + 3. Let a be q(0). Factor 184/3*u**2 - 260/3*u - 28/3*u**4 + 8/3*u**a + 100/3 - 4/3*u**5.
-4*(u - 1)**3*(u + 5)**2/3
Let k(c) be the second derivative of 0 + 11*c - 1/15*c**6 + 2*c**2 - 1/6*c**4 - 3/10*c**5 + c**3. What is l in k(l) = 0?
-2, -1, 1
Suppose -6*y - l = -11*y + 319, -y - 3*l = -67. Let -4471 - 128*t**2 + y*t**2 + 61*t**2 + 336*t - 4937 = 0. Calculate t.
56
Solve 2*t**4 + 1056*t**3 - 2079*t**3 + 421*t**3 = 0.
0, 301
Let f be (-2)/(-16)*(-111)/((-8991)/162). Factor 0*g + 0 + 0*g**4 - 3/4*g**3 - 1/2*g**2 + f*g**5.
g**2*(g - 2)*(g + 1)**2/4
Suppose -3840*d - 14912 = -3848*d. Let r = -1864 + d. Let -2/3*z + r + 8*z**2 = 0. Calculate z.
0, 1/12
Let m(v) = 65*v**3 + 933*v**2 + 3246*v + 263. Let p(x) = -260*x**3 - 3730*x**2 - 12985*x - 1050. Let z(n) = 35*m(n) + 9*p(n). Let z(u) = 0. Calculate u.
-7, -1/13
Let s(m) be the first derivative of -8*m**5/125 - 113*m**4/50 - 448*m**3/75 + 263*m**2/25 + 156*m/25 - 179. Let s(k) = 0. Calculate k.
-26, -3, -1/4, 1
Let k(l) be the first derivative of 2*l**3/51 + 71*l**2/17 - 292*l/17 - 762. Factor k(x).
2*(x - 2)*(x + 73)/17
Suppose 0 = -3*z - 4*j - 41, -2*j - 48 = z + 3*z. Let h = -9 - z. Factor 18*f + 21 - 11*f**2 + 17*f**2 - 9*f**h.
-3*(f - 7)*(f + 1)
Suppose -14*q + 8 = -10*q. Let d be ((-26)/(-3) - -2)/(44 - 42). Suppose d*k - 16/3 - 4/3*k**q = 0. What is k?
2
Let m = 66792 - 66792. Let -3/2*d**2 + m*d - 5/2*d**4 - 7/2*d**3 + 0 - 1/2*d**5 = 0. Calculate d.
-3, -1, 0
Let b = -95 + 108. Suppose -4*d - 16 = m, -b*m - 2*d - 8 = -12*m. Let 0*u + 5/2*u**2 + m + 5/2*u**3 = 0. Calculate u.
-1, 0
Let h(v) = -v**3 + 26*v**2 + 27*v + 6. Let o be h(27). Let 2*r - 6*r + 4*r + 3*r**2 + 3*r - o = 0. Calculate r.
-2, 1
Let b(z) = z**3 - 262*z**2 + 3*z - 786. Let i be b(262). Solve -7/3*x - 1/3*x**3 - 8/3*x**2 + i = 0 for x.
-7, -1, 0
Suppose 3*a - w - 7 = 0, 5*a - 13 = -2*w + 5*w. Let v = 5322/5 + -1062. Determine x, given that 0 + 3/5*x**4 - v*x - 18/5*x**3 + 27/5*x**a = 0.
0, 1, 4
Let m = -53 + 57. Let u(b) = -3*b**3 + 324*b**2 + 2325*b + 2013. Let q(n) = -n**3 + 81*n**2 + 581*n + 503. Let y(i) = m*u(i) - 15*q(i). Factor y(