2 - 240 + 6*r**n + 18*r**2 + 76*r = 0.
4, 15
Let a(x) be the second derivative of x**4/24 - 425*x**3/6 + 180625*x**2/4 + 2*x + 268. Factor a(f).
(f - 425)**2/2
Let 22/5*n**2 - 13*n - 676/5 - 1/5*n**3 = 0. What is n?
-4, 13
Let r = -6314 - -6339. Let d(h) be the second derivative of 4/5*h**5 - 2/15*h**6 + 8/3*h**3 - 2*h**4 - 2*h**2 - r*h + 0. Factor d(w).
-4*(w - 1)**4
Factor -18*v**3 + 24*v**2 - 75*v + 44*v**2 + v**2 + 15*v**3 - 39*v**2.
-3*v*(v - 5)**2
Determine y, given that 2/19*y**3 + 0*y + 0 + 396/19*y**2 = 0.
-198, 0
Let c(q) = q**4 - 9*q**3 + 184*q**2 + 684*q + 652. Let h(j) = -5*j**4 + 30*j**3 - 551*j**2 - 2052*j - 1958. Let m(d) = 7*c(d) + 2*h(d). Factor m(b).
-3*(b - 9)*(b + 2)**2*(b + 6)
Factor 774*i**2 - 9212 - 5*i**3 - 835*i + 7522 + 76*i**2.
-5*(i - 169)*(i - 2)*(i + 1)
Let v be 1/5 + (-24)/120. Let b be v/34*1/(-3). Factor 0*g + 0*g**2 + 3/2*g**3 + b - 3/4*g**4.
-3*g**3*(g - 2)/4
Let p(n) = 7*n + 11. Let d be p(-2). Let k be ((-6)/(-4))/(d/(-16)). Factor -k - 12 - 91*g**2 + 96*g**2.
5*(g - 2)*(g + 2)
Let 266 + 5*m**5 + 1174 - 73*m**3 + 110*m**4 + 211*m**3 + 214*m**3 + 123*m**3 - 480*m - 1550*m**2 = 0. Calculate m.
-12, -1, 1, 2
Factor 18988*v + 2707*v + 2*v**5 + 64833*v + 84864*v**2 - 408*v**4 + 19976*v**3.
2*v*(v - 104)**2*(v + 2)**2
Suppose -1243*b = -1242*b - 2 - 4. Let y(k) be the second derivative of 0*k**4 - 2/75*k**b + 0 + 0*k**2 + 0*k**3 + 2*k + 3/25*k**5. Solve y(v) = 0.
0, 3
Suppose -5*v = s - 23, 5*s + 1 = -5*v + 9*v. Let m be ((-6)/85)/(s/(-5)). Let -4/17*p**2 - 4/17*p**3 - m - 2/17*p**5 + 6/17*p**4 + 6/17*p = 0. What is p?
-1, 1
Let u be (3 + -1 + -6)*58/(-58). Let l(q) be the second derivative of 0*q**2 - 1/2*q**3 - 25*q - 1/20*q**5 + 0 + 1/3*q**u. Determine a so that l(a) = 0.
0, 1, 3
Let h(o) = 25*o**3 - 471*o**2 - 592*o - 132. Let j(k) = 42*k**3 - 942*k**2 - 1185*k - 264. Let m(d) = 7*h(d) - 4*j(d). Suppose m(x) = 0. What is x?
-66, -1, -2/7
Let a(s) be the third derivative of -s**7/490 + 29*s**6/280 - 81*s**5/70 - 88*s**4/7 - 256*s**3/7 - 582*s**2. Determine w, given that a(w) = 0.
-2, -1, 16
Let y = 418801/2 + -209368. Factor -1/2*r**3 - 17*r**2 - 16 - y*r.
-(r + 1)**2*(r + 32)/2
Let f(c) be the first derivative of -4*c**5 - 44*c**4 - 168*c**3 - 216*c**2 + 108*c + 4010. Let f(l) = 0. What is l?
-3, 1/5
Suppose -2*u - 46*m + 16 = -43*m, -2 = -5*u + 2*m. Let n(o) be the first derivative of 3/4*o**4 + 20 + 1/6*o**3 + 8*o - 6*o**u + 1/10*o**5. Factor n(d).
(d - 1)**2*(d + 4)**2/2
Let d(t) be the first derivative of t**5/30 + t**4/4 - t**2/2 + 2*t - 132. Let n(j) be the second derivative of d(j). Find l, given that n(l) = 0.
-3, 0
Solve -37*v**3 + 8530122 + 44*v**3 - 32965*v**2 - 6690267 + 15897113 + 62067476*v - 8725*v**2 = 0 for v.
-2/7, 2978
Let n(w) = 29*w**3 - 8*w**2 - 2*w - 13. Let h(f) = -9*f**3 + 2*f**2 + 4. Let c(i) = -13*h(i) - 4*n(i). Let c(m) = 0. Calculate m.
-4, -2, 0
Suppose 2*n - 32 = 2*c + 156, c = -3*n + 274. Let l be (-6)/n*((-304)/(-24) + -14). Let l*i**3 - 6/23*i**2 + 6/23*i - 2/23 = 0. Calculate i.
1
Let r(s) be the second derivative of s**6/15 - 3*s**5/10 - s**4 + 8*s**3/3 + 272*s. Factor r(n).
2*n*(n - 4)*(n - 1)*(n + 2)
Let x(g) = 12*g + 246. Let p be x(-20). Find h such that 33*h**3 - 73*h**4 - 24*h**2 - 3*h**5 - 36*h + 137*h**4 - 40*h**4 + p*h**5 = 0.
-6, -2, -1, 0, 1
Let s = -9680/27 + 9806/27. Determine i so that 0*i + s*i**3 + 0 - 4/3*i**2 - 2*i**4 = 0.
0, 1/3, 2
Let h(p) = 4*p**2 + 30*p - 111. Let z(d) = -2*d - 1. Let x(u) = -h(u) + 7*z(u). Factor x(m).
-4*(m - 2)*(m + 13)
Let x be 99/(-18) + (-891)/(-154). Suppose -6/7*i - 4/7 - x*i**2 = 0. Calculate i.
-2, -1
Suppose -3*g = 9, -2*g = -4*b + 41 - 19. Factor -2*q + 28 - 36*q**2 - 4*q**b + 20 + 136*q**3 - 14*q - 112*q**3.
-4*(q - 3)*(q - 2)**2*(q + 1)
Let z be (-332)/(-12) + -2*(-4)/(-12). Factor -327*s - z*s**2 + 28 + 324*s + 2.
-3*(s - 1)*(9*s + 10)
Suppose 1068*g = -1961*g. Determine u, given that 0*u**2 + 0*u + g + 2/9*u**5 + 8/9*u**4 + 8/9*u**3 = 0.
-2, 0
Let q(h) be the second derivative of -h**4/60 - 56*h**3/15 + 117*h**2/2 - 2281*h. Factor q(s).
-(s - 5)*(s + 117)/5
Suppose 123*z = 113*z. Factor -8/3*l - 2/3*l**2 + z.
-2*l*(l + 4)/3
Let b(t) be the first derivative of 0*t - 24/5*t**2 - 123/20*t**4 + 39/25*t**5 - 2/15*t**6 + 136/15*t**3 + 145. What is j in b(j) = 0?
0, 3/4, 1, 4
Let u(o) be the first derivative of 22/9*o**3 + 49 - 2/5*o**5 + 1/2*o**4 - 1/9*o**6 + 2*o**2 + 0*o. Find q such that u(q) = 0.
-3, -1, 0, 2
Let g be 2601/2312*80/315. Factor 2/7 - 4/7*m + g*m**2.
2*(m - 1)**2/7
Let u be 45/(-20)*(3 - 50/6). Let m be 2/u*(107 - -17) + -6. Factor m*y + 10/3*y**2 + 16/3.
2*(y + 4)*(5*y + 2)/3
Let f(w) = 18*w + 290. Let j be f(-16). Suppose -j*s - s = a - 7, 2*s - 6 = -2*a. What is m in 0*m**s - 4/5*m**3 - 2/5*m**5 + 0*m - 6/5*m**4 + 0 = 0?
-2, -1, 0
Let x(z) be the third derivative of z**6/120 + 2*z**5/25 - z**4/24 - 3942*z**2 + 2. Factor x(q).
q*(q + 5)*(5*q - 1)/5
Suppose -31*u - 16 = r - 29*u, 4*r + 5*u + 37 = 0. Factor -2*z**3 + 46/13*z**r + 2/13*z**4 - 22/13*z + 0.
2*z*(z - 11)*(z - 1)**2/13
Suppose -10*v + p = -31*v + 16*v, 0 = -4*v + p + 27. Determine o so that 3*o**v - o**4 - 5/2*o + 4*o**2 - 3 - 1/2*o**5 = 0.
-3, -1, 1, 2
Let k(p) = -13*p**4 - p**3 - p**2 + 2. Let n(u) = 100*u**4 - 120*u**3 - 116*u**2 - 16. Let c(a) = 8*k(a) + n(a). Factor c(s).
-4*s**2*(s + 1)*(s + 31)
Let w(o) be the second derivative of -o**6/65 - o**5/130 + 7*o**4/39 + 4*o**3/39 - 8*o**2/13 - 20*o + 67. Solve w(x) = 0.
-2, -1, 2/3, 2
Let y be 3745/735 - (-116)/(-1218). Determine v, given that -34/11*v**2 - 48/11*v + 42/11*v**4 - 98/11*v**y - 8/11 + 146/11*v**3 = 0.
-1, -2/7, 1
Let z(o) be the second derivative of o**7/21 + 2*o**6/5 - 127*o**5/10 + 244*o**4/3 - 208*o**3 + 256*o**2 + 128*o + 3. Let z(w) = 0. Calculate w.
-16, 1, 4
Let l = -6954 - -8031871/1155. Let s(v) be the third derivative of -14*v**2 + 0 - l*v**7 + 1/330*v**5 + 0*v - 1/660*v**6 + 1/132*v**4 + 0*v**3. Factor s(i).
-2*i*(i - 1)*(i + 1)**2/11
Let h = -684/1003 + 68/59. Let i(u) be the first derivative of h*u + 6/17*u**3 - 10 + 12/17*u**2 - 1/17*u**4 - 6/85*u**5. Solve i(q) = 0 for q.
-1, -2/3, 2
Let j be (-1 - 7) + 2 + 3/1 - 5624/(-456). Suppose -1/6*c**4 + 38/3*c + j + 1/6*c**3 + 5*c**2 = 0. Calculate c.
-2, 7
Let k be -4 - -4*49/28. Factor 620*r**3 - 225*r**k - 249*r**3 - 84*r**2 - r**4 - 2*r**4 - 233*r**3.
-3*r**2*(r + 1)*(r + 28)
Let u(a) = -28*a - 137. Let m be u(-8). Factor -67*l**2 - 5*l**3 - l**2 - 522*l - 753*l - m*l**2 - 1125.
-5*(l + 1)*(l + 15)**2
Let z(j) = -33*j + 132. Let d be z(4). Factor 90*b + d + 55*b**2 + 34*b**3 + b**2 + 15 - 24*b**3 + 21.
2*(b + 2)*(b + 3)*(5*b + 3)
Factor -77*m**3 - m**4 - 238*m**2 - 46*m**3 + 372*m - 149 - 15 - 20 + 174*m**3.
-(m - 46)*(m - 2)**2*(m - 1)
Suppose -10*p + 0 + 90 = 0. Suppose p = 12*s - 15. Suppose 0*i - 20*i + 13*i**2 + 18 - 11*i**s = 0. What is i?
1, 9
Let o be (-13 - 1173/(-92))*(2 + -2). Factor -2/9*u + 2/9*u**2 + o.
2*u*(u - 1)/9
Let k(b) be the third derivative of 0 + 11/24*b**4 - 66*b**2 + 1/120*b**5 + 0*b + 121/12*b**3. Factor k(j).
(j + 11)**2/2
Let 8/5*r**5 - 3136/5 + 13384/5*r - 15976/5*r**2 - 296/5*r**4 + 730*r**3 = 0. What is r?
1/2, 8, 14
Suppose -74 = z - 292. Suppose -3 - 15 - 219*w**2 - 13*w + z*w**2 - 6*w = 0. Calculate w.
-18, -1
Suppose 88/3*k + 4*k**3 - 40/3 - 58/3*k**2 = 0. Calculate k.
5/6, 2
Let b(u) = -u**2 + 9*u + 8. Let f be b(0). Let -12*r**2 + 15*r**3 - 52*r - 5*r**4 - 12*r**2 - 92*r + f*r**4 = 0. What is r?
-4, 0, 3
Let h(z) be the first derivative of -5*z**6/6 + 28*z**5/5 - 2*z**4 - 38*z**3/3 + 13*z**2/2 + 10*z - 2182. Solve h(r) = 0.
-1, -2/5, 1, 5
Let j be 174/116*(-2)/372. Let u = 63/124 + j. Factor -2 + u*v**2 - 3/2*v.
(v - 4)*(v + 1)/2
Factor 1677*y + 2834*y - 16*y**2 - 39*y + 14*y**2.
-2*y*(y - 2236)
Suppose 0 = 5*u - 10, -335 - 1347 = -5*l - u. Let n = l + -336. Find h such that n - 8/3*h**2 - 16*h**5 + 12*h**3 - 4/3*h**4 + 0*h = 0.
-1, 0, 1/4, 2/3
Let i(u) be the first derivative of u**5/5 - 3*u**4 + 34*u**3/3 + 6*u**2 - 35*u - 8880. Let i(m) = 0. What is m?
-1, 1, 5, 7
Suppose 67*y + 14 = 74*y. Factor 4*o**4 - 186 + 18*o**y + 19*o**3 - 3*o**4 + 186.
o**2*(o + 1)*(o + 18)
Let -4*a**4 - 18*a - 107*a**2 - a**3 + a**4 + 80*a**2 + 78*a**2 - 48 + 19*a**3 = 0. Calculate a.
-2, -1, 1, 8
