0*w**2 - 190*w + 5057. Let n(i) = -i**4 - 4*i**3 + 4*i + 1. Let k(r) = 14*n(r) - s(r). Let k(v) = 0. What is v?
-1, 1, 41
Determine v, given that 12050*v**3 + 31*v - 4017*v**3 + 27 - 4016*v**3 - 148*v + 69*v**2 - 4028*v**3 = 0.
3/11, 3
Let n be (-118)/(-306) - (-295)/5015. Factor -2/9*o + 2/9*o**2 - n.
2*(o - 2)*(o + 1)/9
Let l be (-352)/(-66) + (-4)/3. Suppose 9 = 4*f + y, 5 = 5*f + 2*y - l. Let -5*r**5 + 8*r**4 - 4*r**f + r**5 - 21*r**2 + 21*r**2 = 0. What is r?
0, 1
Let d(a) be the first derivative of -a**6/2 + 96*a**5 + 1461*a**4/4 + 326*a**3 - 3769. Determine w, given that d(w) = 0.
-2, -1, 0, 163
Let c(p) be the second derivative of -2 + 86/15*p**3 + 44*p + 98/75*p**6 + 4*p**2 - 73/5*p**4 - 203/25*p**5. Find z such that c(z) = 0.
-1, -1/7, 2/7, 5
Let b = -37 + 45. Let j be (b/10)/((-2)/(-5)). Let -22*r + 8*r + j*r**2 + 12*r = 0. Calculate r.
0, 1
Suppose 0 = -i - 5*b + 115, 2*b + 0 = 4*i - 438. Suppose 7*o + i = 1328. Let 198*l**3 - o*l**3 + 6*l**2 - 2*l**2 + 36*l**4 = 0. Calculate l.
-1/3, 0
Suppose 3*r - 402 = -2*z + 224, 0 = 3*z - 4*r - 905. Let t = 1541/5 - z. Determine i so that -1/5*i**2 - 1 + t*i = 0.
1, 5
Let d(c) = -c**5 + 58*c**4 - 480*c**3 + 1514*c**2 - 2189*c + 1185. Let z(j) = j**3 + j - 1. Let x(v) = 2*d(v) + 18*z(v). Let x(y) = 0. Calculate y.
2, 3, 49
Let g(i) be the first derivative of -i**4/32 - 4*i**3 + 97*i**2/16 + 4333. Suppose g(x) = 0. Calculate x.
-97, 0, 1
Let c(b) = 5*b**2 - 239*b - 621. Let p(j) = 8*j**2 - 415*j - 1243. Let m(y) = -5*c(y) + 3*p(y). Determine n so that m(n) = 0.
-26, -24
Let n(u) be the third derivative of u**6/120 + 3*u**5/20 - 7*u**4/24 - 7*u**3/6 - 15*u**2. Let l be n(-9). Factor -8*z**3 - l - 4*z**4 + 56 + 4*z**5.
4*z**3*(z - 2)*(z + 1)
Suppose -42 = -5*u - 2*x, u - x + 34 = 55. Factor -33/2*z**2 + 3/4*z**4 - 15/4*z**3 + 0 - u*z.
3*z*(z - 8)*(z + 1)*(z + 2)/4
Let i be (-3 + (-24)/(-9))*((-360)/(-45) - 43). Factor -5/3*s**3 + 65/3*s - 25/3*s**2 - i.
-5*(s - 1)**2*(s + 7)/3
Factor -9120*r + 1155200/3 + 54*r**2.
2*(9*r - 760)**2/3
Factor 645*h**2 + 89445375 - 1/3*h**3 - 416025*h.
-(h - 645)**3/3
Let a(x) be the second derivative of -x**7/504 + 5*x**6/48 + x**4 + 40*x + 1. Let j(o) be the third derivative of a(o). Let j(f) = 0. What is f?
0, 15
Let m = -6365742/11 + 578704. Factor -m*o**2 + 90/11 - 8*o.
-2*(o - 1)*(o + 45)/11
Suppose 5*o - 90 = -p, -11*p + 164 = -9*p + 2*o. Suppose -p*t = -85*t + 15. Factor 0*n**2 + 3/4*n**4 + 0 + 3/2*n**t + 0*n.
3*n**3*(n + 2)/4
Let v(a) be the second derivative of -11*a**4/6 - 47*a**3/3 - 36*a**2 - 779*a. Suppose v(o) = 0. What is o?
-36/11, -1
Let w(x) = -3*x**2 + 5*x - 8. Let v(n) = 6 + n + 12*n**2 - 2*n**2 - 15*n + 19. Let k(b) = -2*v(b) - 7*w(b). Solve k(a) = 0.
1, 6
Let j(g) be the first derivative of 3/10*g**4 + 0*g - 2/25*g**5 + 0*g**2 - 239 + 8/15*g**3. Suppose j(b) = 0. What is b?
-1, 0, 4
Let w = -777/167 - 144033/1670. Let j = w + 457/5. Find d, given that 1/2*d**2 + 3/2*d**3 - j*d**4 - 3/2*d + 0 = 0.
-1, 0, 1, 3
Let a be ((-11 - 1050/(-98))/(8/10))/(30/(-63)). Factor 0 - 10*w**3 + a*w**4 + 0*w - 7*w**2.
w**2*(w - 14)*(3*w + 2)/4
Let b(k) be the first derivative of 5*k**4/12 + 25*k**3/3 - 55*k**2/2 + 34*k + 16. Let p(x) be the first derivative of b(x). Suppose p(u) = 0. Calculate u.
-11, 1
Suppose -49*w - 1308 = -576*w - 127*w. Find i such that -8/13*i**w + 0 + 2/13*i**3 + 6/13*i = 0.
0, 1, 3
Suppose 14 = 25*j - 18*j. Solve 91*m**2 - 33*m**j - 4*m**4 - 80 - 16*m - m**5 + 8*m**3 - 26*m**2 + 16 = 0.
-4, -2, 2
Let u(w) be the first derivative of -25/6*w**2 - 625/6*w - 1/18*w**3 - 9. Find k such that u(k) = 0.
-25
Let a(x) be the second derivative of 0 - 4/3*x**4 + 0*x**2 - 2/21*x**7 + 2/5*x**6 + 0*x**3 + 0*x**5 + 20*x. Factor a(k).
-4*k**2*(k - 2)**2*(k + 1)
Let f(h) be the first derivative of h**5/5 + 15*h**4/4 + 13*h**3/3 - 15*h**2/2 - 14*h + 2830. Let f(l) = 0. Calculate l.
-14, -1, 1
Suppose 0 = -27*u + 36 - 171. Let x be (6/54)/(u*5/(-300)). Factor -4*i - 4/3*i**3 - 20/3*i**2 + x*i**4 + 0.
4*i*(i - 3)*(i + 1)**2/3
Determine v so that 18/5*v**4 - 72/5*v**2 + 0 - 3/5*v**5 - 3/5*v**3 - 48/5*v = 0.
-1, 0, 4
Let g = 320 + -299. Let 27*i**2 + 6*i**2 + 6 - g*i + 0*i - 18*i = 0. Calculate i.
2/11, 1
Let y(x) be the third derivative of -x**5/210 + 12*x**3/7 - 247*x**2 + 2*x. Factor y(b).
-2*(b - 6)*(b + 6)/7
Let d(h) be the third derivative of h**5/210 + 37*h**4/6 + 9583*h**3/3 + 260*h**2 + 2*h. Factor d(u).
2*(u + 259)**2/7
Let z(m) = 9*m**3 + 4696*m**2 - 3134*m + 2. Let x(t) = -144*t**3 - 75138*t**2 + 50145*t - 33. Let g(n) = 2*x(n) + 33*z(n). Let g(c) = 0. What is c?
-522, 0, 2/3
Let j(v) = 26*v - 1103. Let i be j(43). Let g(m) be the first derivative of 4/3*m**3 - i + 8*m + 6*m**2. Solve g(h) = 0 for h.
-2, -1
Let m(n) be the third derivative of 1/140*n**7 + 5/8*n**4 + 2*n - 47*n**2 + 1/5*n**5 - 1/8*n**6 - 9/4*n**3 + 0. Factor m(y).
3*(y - 9)*(y - 1)**2*(y + 1)/2
Suppose 4*y - 5*q = -34, -5*y - 4*q - 19 = -4*y. Let u be y/(-33) - 4*(-1)/(-30). Factor 0 - 1/5*o**3 - 1/5*o**4 + 1/5*o + u*o**2.
-o*(o - 1)*(o + 1)**2/5
Factor 1104*u**2 + 812*u**3 - 266*u**3 + 200934 - 274*u**3 - 275*u**3 - 102663*u.
-3*(u - 183)**2*(u - 2)
Factor 5*y + 17/2*y**2 - 48 + 1/2*y**3.
(y - 2)*(y + 3)*(y + 16)/2
Suppose 5*w = 2*z - z + 25, -3*z - 4*w = 37. Let m be z/(-6) + 3/2. Factor m - 6*v - 1 - 2*v + 3 + 2*v**2.
2*(v - 3)*(v - 1)
Let z(u) = -u**3 + 366*u**2 - 34981*u + 4. Let w(n) = -n**3 + 364*n**2 - 34984*n + 5. Let r(t) = -4*w(t) + 5*z(t). Factor r(v).
-v*(v - 187)**2
Suppose -16*s = -2*s - 196. Suppose 44 = -s*y + 86. Factor 0 + 0*i - 4/7*i**y - 8/7*i**5 + 2*i**4 - 2/7*i**2.
-2*i**2*(i - 1)**2*(4*i + 1)/7
Let h(r) be the third derivative of -r**7/210 + r**6/320 - 227*r**4/24 + r**2 + 141. Let s(q) be the second derivative of h(q). Find b, given that s(b) = 0.
0, 3/16
Let d be (38/(-8))/(217/28 - 8). Let z(l) be the second derivative of -1/5*l**5 + d*l + 0 + 0*l**2 + 0*l**3 - 1/3*l**4 + 2/15*l**6 + 2/21*l**7. Factor z(t).
4*t**2*(t - 1)*(t + 1)**2
Suppose 3*m - 18 = -6*m. Suppose s - 28 = 2*z + 3*z, z + m = 0. Solve -12*u**2 + 22*u**2 + 21*u**3 + 47*u**2 - s*u = 0 for u.
-3, 0, 2/7
Factor 3/7*y**2 + 150/7*y + 1287/7.
3*(y + 11)*(y + 39)/7
Let w(b) = 11*b**4 + 79*b**3 - 3*b**2 - 1180*b + 1603. Let p(r) = 2*r**4 - 2*r**3 - r**2 + 1. Let u(h) = -3*p(h) + w(h). Find m, given that u(m) = 0.
-16, -5, 2
Let c(h) = 7*h**2 - 34*h + 8. Let n = 39 + -4. Let s(u) = 8 - 18*u**2 - n*u - 6*u**2 + 31*u**2. Let g(j) = 5*c(j) - 4*s(j). Let g(x) = 0. What is x?
2/7, 4
Find v, given that 26/9*v**4 + 0 + 0*v + 2/9*v**5 + 46/9*v**3 + 22/9*v**2 = 0.
-11, -1, 0
Factor 464/11 - 2/11*z**2 - 108/11*z.
-2*(z - 4)*(z + 58)/11
Let a(i) be the first derivative of -5*i**3/3 + 40*i**2 - 300*i - 7383. Solve a(g) = 0 for g.
6, 10
Let w(k) be the first derivative of 7*k**4/20 - 43*k**3/15 + 36*k/5 + 71. Find u such that w(u) = 0.
-6/7, 1, 6
Factor 1/9*m**2 + 58/9 + 31/9*m.
(m + 2)*(m + 29)/9
Suppose 76325 - 2552*h + 4*h**2 - 136514 + 467233 = 0. Calculate h.
319
Let z(h) = -6*h**2 + 1010*h - 1444. Let d(t) = 2*t**2 - 337*t + 459. Let n(c) = 8*d(c) + 3*z(c). Factor n(q).
-2*(q - 165)*(q - 2)
Let g(t) = t**4 - t + 2. Let h(v) = -3*v**4 - 8*v**3 - 7*v**2 + 74*v + 140. Let x(z) = 2*g(z) + h(z). Factor x(a).
-(a - 3)*(a + 3)*(a + 4)**2
Let p(g) = g**3 - 14*g**2 - 10*g. Let u be p(22). Suppose -1805 + 3*m**3 - 3*m + u - 72*m**2 - 1775 = 0. Calculate m.
-1, 1, 24
Let s(b) be the third derivative of b**5/270 + 17*b**4/108 + 10*b**3/9 + 1091*b**2. Factor s(a).
2*(a + 2)*(a + 15)/9
Let q(h) be the third derivative of 1/30*h**5 - 1/12*h**4 + 0 - 42*h**2 + 1/540*h**6 - 1/945*h**7 + 0*h + 0*h**3. Solve q(g) = 0 for g.
-3, 0, 1, 3
What is f in 479/6*f + 0 - 1/6*f**3 - 239/3*f**2 = 0?
-479, 0, 1
Suppose -281*y - 261 + 885 = -125*y. Let -448/3*u - 364*u**y - 196/3*u**5 - 16 - 1948/3*u**3 - 484*u**2 = 0. Calculate u.
-3, -1, -2/7
Let q(l) = -477*l - 181. Let r be q(-15). Determine h, given that h**3 + r*h + h**2 - 3487*h - 5*h**2 - 3484*h = 0.
0, 1, 3
Let v = 4619/707 - 631/101. Factor 4/7 + 2/7*y**3 + v*y**4 - 6/7*y**2 - 2/7*y.
2*(y - 1)**2*(y + 1)*(y + 2)/7
Let c(j) = -139*j + 1114. Let q be c(8). Let l(b) be the first derivative of -b**3 - 3 - 6*b + 9/2*b**q. Determine a so that l(a) = 0.
1, 2
Let m(a) be the third 