 n(b) be the second derivative of 0*b**3 + 4*b + a*b**7 + 0*b**4 - 4/255*b**6 + 0 + 0*b**5 + 0*b**2. Factor n(g).
2*g**4*(g - 4)/17
Let g be 2*(-8 + (13 - 7)). Let z be (-2)/25*-5 + g/(-140). Find r, given that 3*r**2 + 9/7*r + 15/7*r**3 + z*r**4 + 0 = 0.
-3, -1, 0
Let z(v) = v**2 - v. Let k(j) = -123*j + 60*j + 1 + 59*j. Let b be k(1). Let r(w) = -w**2 + 2*w. Let n(i) = b*r(i) - 4*z(i). Factor n(m).
-m*(m + 2)
Let b(r) be the third derivative of r**7/4200 - r**6/450 + r**5/200 + 15*r**3 + 94*r**2. Let y(m) be the first derivative of b(m). Factor y(l).
l*(l - 3)*(l - 1)/5
Let y(m) be the second derivative of 24*m - m**5 + 0*m**3 + 0*m**2 + 0 + 5*m**4 + 5/42*m**7 - 1/2*m**6. Factor y(k).
5*k**2*(k - 3)*(k - 2)*(k + 2)
Let b = 147930 + -451435/3. Let p = b - -2549. Factor p*h**2 + 4/3*h + 0.
2*h*(h + 2)/3
Let t(h) be the second derivative of h**5/120 + 1135*h**4/36 + 321488*h**3/9 - 645248*h**2/3 + 234*h + 12. Factor t(a).
(a - 2)*(a + 1136)**2/6
Let n(m) be the third derivative of 8*m**5/75 + 17*m**4/4 - 16*m**3/15 - 1507*m**2. Factor n(b).
2*(b + 16)*(16*b - 1)/5
Let v(g) be the first derivative of g**3/3 - 265*g**2 - 1362. Factor v(k).
k*(k - 530)
Solve 0 - 324/5*w - 72*w**2 - 37/5*w**3 - 1/5*w**4 = 0 for w.
-18, -1, 0
Let g be (-1 - 0) + 3/1. Suppose 3*l + 9*r = 10*r + 733, -3*l - r + 719 = 0. Let 52*o - 9*o - g*o**2 + o - l = 0. What is o?
11
Let h(k) = k**3 + 2*k**2 - k + 2. Let s be h(0). Factor -212*t**2 - 2*t**4 + 2*t**5 + 106*t**s + 108*t**2 - 2*t**3.
2*t**2*(t - 1)**2*(t + 1)
Let s(f) = 808*f - 1616. Let t be s(2). Suppose -j - j + 4 = 0. Factor 1/9*k**3 - 1/9*k + t + 0*k**j.
k*(k - 1)*(k + 1)/9
Solve -4/5*r**3 - 52*r + 536/5 - 272/5*r**2 = 0 for r.
-67, -2, 1
Let z be -6*7/(-4)*14. Suppose 134*d + 120 = 388. Factor 149*u**d - 65*u - 291*u**2 + z*u**2.
5*u*(u - 13)
Let u(m) = -540*m**3 + 196590*m**2 + 246075*m + 49330. Let s(d) = -20*d**3 + 7281*d**2 + 9114*d + 1827. Let x(f) = -55*s(f) + 2*u(f). Factor x(b).
5*(b - 365)*(b + 1)*(4*b + 1)
What is x in 796/7*x + 2*x**2 + 96 = 0?
-56, -6/7
Let k = -11003/31 - 136395/403. Let d = k - -694. Let d + 290/13*j**2 - 80/13*j + 350/13*j**4 - 470/13*j**3 - 98/13*j**5 = 0. Calculate j.
2/7, 1
Let w = 3125 + -3120. Let b(r) be the third derivative of -4*r**2 - 5/8*r**4 + 5/3*r**3 + 0*r - 1/42*r**7 - 1/12*r**w + 0 + 1/8*r**6. Factor b(n).
-5*(n - 2)*(n - 1)**2*(n + 1)
Let y = 385 - 293. Factor 32*k**3 - 4*k**5 - y*k + 16*k**4 + 8*k**2 - 5*k**2 - 43*k**2 + 0*k**2 - 40.
-4*(k - 5)*(k - 2)*(k + 1)**3
Suppose 1320 - 399 = -u + 2*z, 4*u = 4*z - 3688. Let d = u - -925. Find f such that 3/2*f**d - 12 + 21/2*f = 0.
-8, 1
Let z be -6 - (-294)/7 - 1. Suppose 205 = z*v + 135. Suppose 7/6*k + 1/3*k**v - 1/6*k**3 + 2/3 = 0. Calculate k.
-1, 4
Suppose -470*w - 216 = -524*w. Factor w + 2/5*y**2 - 14/5*y.
2*(y - 5)*(y - 2)/5
Suppose -3 = -f + 9. Suppose 4*n + 3*d - f = -0, 0 = 2*n + d - 6. Factor 3*z**n + 0*z**3 - z**4 - 48*z**2 + 6*z**3 + 64*z + 3*z**3.
-z*(z - 4)**3
Let f be (-127)/((-63119)/(-284))*(-7)/8. Factor 1/4*j**2 + f + 3/4*j.
(j + 1)*(j + 2)/4
Let o(d) be the second derivative of -7/6*d**4 + 25/6*d**3 + 232*d + 0 + 3*d**2. Factor o(g).
-(g - 2)*(14*g + 3)
Let r = -670676 - -670678. Solve 0 + 2/17*d**r - 26/17*d = 0.
0, 13
Let u(f) be the second derivative of 0*f**2 - 1/180*f**6 + 0*f**3 - 1 + 1/36*f**4 + 1/120*f**5 - 26*f. Factor u(b).
-b**2*(b - 2)*(b + 1)/6
Suppose 5*j = 5*p - 40, -38*p + 8 = -35*p + j. Let i(o) be the first derivative of -4/45*o**5 - 1/18*o**2 + 0*o + 4/27*o**3 + p + 1/36*o**4. Factor i(s).
-s*(s - 1)*(s + 1)*(4*s - 1)/9
Let p(t) = 5*t**2 + 12*t + 16. Let d(u) = 26*u**2 + 58*u + 80. Let y(v) = 3*d(v) - 16*p(v). Factor y(q).
-2*(q + 1)*(q + 8)
Let a = -201 + 230. Determine l so that 4*l**2 - 24*l + a + 6 + 4*l - 11 = 0.
2, 3
Let o(u) be the third derivative of -52/3*u**3 - 115/6*u**4 + 0 + 3/5*u**5 + 4*u**2 + 0*u. Factor o(f).
4*(f - 13)*(9*f + 2)
Let a = -162110 + 810553/5. Let -9/5*h**3 - 3/5*h**2 - 9/5*h**4 + 0*h - a*h**5 + 0 = 0. What is h?
-1, 0
Find v, given that 44/9*v + 2/9*v**2 - 242/3 = 0.
-33, 11
Let x(n) be the first derivative of -128 - 10/13*n**3 + 8/13*n - 11/13*n**2. Find i such that x(i) = 0.
-1, 4/15
Suppose 10 = -0*f + 3*f + d, -3*d + 16 = 2*f. Let q be -2 + 9 - (7 - f). Suppose -2/3 + 0*b + 2/3*b**q = 0. What is b?
-1, 1
Let z(h) be the second derivative of -h**8/3360 - h**7/560 - h**6/240 - h**5/240 - 115*h**3/6 + 143*h. Let o(j) be the second derivative of z(j). Factor o(x).
-x*(x + 1)**3/2
Let m = -180840 - -180844. Suppose 0 - 2/7*g**5 - 20/7*g - 50/7*g**3 + 54/7*g**2 + 18/7*g**m = 0. What is g?
0, 1, 2, 5
Let w(o) = 53*o**2 + 5189*o - 488. Let l be w(-98). Factor -3/4*v**4 + 9/4*v**3 + 0 - 3/2*v**l + 0*v.
-3*v**2*(v - 2)*(v - 1)/4
Factor 1 - 1/4*l**2 - 3/4*l.
-(l - 1)*(l + 4)/4
Let y(b) = -b**3 - 5*b**2 - 11*b - 26. Let r be y(-4). Factor -13 - 9 + 4*c**r - 9 - 20*c + 7.
4*(c - 6)*(c + 1)
Suppose 2*o + 5*m - 9 = 5, -8 = -2*o - 2*m. Factor -95*n**2 + 85 - 320*n + 25*n**2 - 10*n**o.
-5*(4*n - 1)*(4*n + 17)
Suppose -4*r - 4*v - 374 = -418, -2*r + 31 = 3*v. Find l such that -2*l**r + 1/4*l**3 - 4 + 5*l = 0.
2, 4
Let d be 2/(-16)*12 - (-10)/(-4). Let t(r) = -4*r**3 + 9*r**2. Let l(j) = j**3 - 3*j**2. Let a(v) = d*t(v) - 14*l(v). Factor a(m).
2*m**2*(m + 3)
Solve 7/9*k**2 - 1/9*k**4 + 5/9*k**3 - 29/9*k - 10/3 = 0 for k.
-2, -1, 3, 5
Let b(n) = 12*n**2 - 30*n + 38. Let h = 13 + -2. Let z(u) = -34*u + 39 - 5*u + h*u**2 + 9*u. Let p(o) = -6*b(o) + 7*z(o). Suppose p(f) = 0. Calculate f.
3
Suppose -5191 = 615*t - 6421. Factor -2/7*k - 34/7 + 2/7*k**3 + 34/7*k**t.
2*(k - 1)*(k + 1)*(k + 17)/7
Let p(s) = -s**2 + 4*s + 17. Let l be p(6). Let 0 - 69*g - 36 + l*g**3 - 46*g - 24 - 25*g**2 - 25*g**2 = 0. Calculate g.
-1, 12
Let j(z) be the first derivative of 1/3*z**3 + 0*z - 238 - 1/16*z**4 - 3/8*z**2. Let j(b) = 0. Calculate b.
0, 1, 3
Let i(s) be the second derivative of -s**5/10 + 2*s**4/3 + 67*s**3/3 - 70*s**2 + 956*s. Factor i(w).
-2*(w - 10)*(w - 1)*(w + 7)
Let j(l) be the first derivative of -1/9*l**3 - 172 - 1728*l + 24*l**2. Factor j(g).
-(g - 72)**2/3
Let a(i) be the third derivative of 0*i**3 + 0*i + 3*i**2 - 2 + 0*i**4 - 1/20*i**5 + 1/140*i**7 - 1/80*i**6. Suppose a(k) = 0. Calculate k.
-1, 0, 2
Let c(o) = -2*o**2 - o + 60. Let b be c(5). Let t be (-160)/(-200)*b/3. Factor -2/3*q**2 + 0 + t*q.
-2*q*(q - 2)/3
Let n = 264782/3 + -1323844/15. Factor 8/5 + n*r**2 + 28/5*r + r**3.
(r + 2)**2*(5*r + 2)/5
Let k = 588 + -592. Let s be (-1680)/(-900) + k/(-30). Factor 0 - 8/5*b**s - 2/5*b**5 - 8/5*b**4 - 2/5*b - 12/5*b**3.
-2*b*(b + 1)**4/5
Let y(l) be the first derivative of -1/30*l**5 + l**2 - 24 + 4/3*l - 1/8*l**4 + 1/9*l**3. Find c, given that y(c) = 0.
-2, -1, 2
Suppose -209*f = -211*f + 6, 5*c - 21 = -2*f. Find s such that -26/7*s + 16/7*s**2 + 12/7 - 2/7*s**c = 0.
1, 6
Let p(f) be the first derivative of -841/3*f - 29/3*f**2 - 1/9*f**3 - 39. Factor p(d).
-(d + 29)**2/3
Let d(i) = i**3 - 3*i**2 - 7*i - 11. Let x be d(5). Let u = 126 - 118. Determine m so that -1 + 48*m**3 - 56*m**3 + 4*m**x + u*m - 3 = 0.
-1, 1
Let j(n) = -10*n**3 + 415*n**2 + 1180*n + 595. Let r(q) = 11*q**3 - 414*q**2 - 1180*q - 596. Let w(o) = 4*j(o) + 5*r(o). Factor w(i).
5*(i - 30)*(i + 2)*(3*i + 2)
Let w(f) be the first derivative of 2*f**6/3 - 4*f**5 + 6*f**4 + 8*f**3/3 - 14*f**2 + 12*f - 41. Factor w(u).
4*(u - 3)*(u - 1)**3*(u + 1)
Let o(f) = -22330*f - 89317. Let z be o(-4). Let p = 51/22 + -9/11. Factor -p*b**3 + 6*b + 0 - z*b**2 + 3/4*b**4.
3*b*(b - 2)**2*(b + 2)/4
Let i(x) be the first derivative of 25/2*x**4 + x**5 - 240*x + 145/3*x**3 + 20*x**2 - 33. Factor i(w).
5*(w - 1)*(w + 3)*(w + 4)**2
Factor 23*z**3 - 27*z**3 - 186*z**2 + 296 + 239*z**2 - 756*z + 331*z**2 + 80.
-4*(z - 94)*(z - 1)**2
Let o(r) be the third derivative of -2*r**7/63 + 23*r**6/90 + 16*r**5/9 + 14*r**4/9 + 3930*r**2. Let o(c) = 0. Calculate c.
-2, -2/5, 0, 7
Let p = -39 - -49. Suppose -p*i + 12 = -7*i. Solve q**i - q**2 + q**4 + 3*q**4 - 4*q**4 = 0.
-1, 0, 1
Let d(o) be the third derivative of 1/30*o**3 + 0*o + 2*o**2 - 3/50*o**6 + 11/120*o**4 + 2/25*o**5 + 0. Factor d(r).
-(r - 1)*(6*r + 1)**2/5
Let n(j) be the first derivative of -8*j**5/115 + 517*j**4/46 - 250*j**3/69 - 517*j**2/23 + 258*j/23 - 1076. Find q s