*4/6 - 11*j**3 - 18*j**2 + 2*j + 582. Find u, given that k(u) = 0.
-6, -3, -1
Let v(x) = 2*x**3 - 32*x**2 + 32*x - 17. Let k be v(15). Suppose -90 + 64 = -k*i. Find t such that 2*t**i + 2/3*t**4 - 8/3*t**3 + 0 + 0*t = 0.
0, 1, 3
Suppose i + 54*v = 489, 5*v = i + 43 - 1. Factor -2/3*g**2 + 8/3*g + 0 - 1/3*g**i.
-g*(g - 2)*(g + 4)/3
Let v be 141 + -193 + 45 + 18/(0 + 2). Factor 2/9*q**v - 8 + 32/9*q.
2*(q - 2)*(q + 18)/9
Let l(f) = 5*f**2 + 971*f - 2358. Let x(o) = -o**2 - 198*o + 472. Let m(b) = -2*l(b) - 11*x(b). Factor m(w).
(w - 2)*(w + 238)
Let o(h) be the second derivative of 0 + 20/3*h**3 - 35*h + 5/6*h**4 + 25/2*h**2. Let k(u) = 11*u**2 + 41*u + 24. Let n(f) = -5*k(f) + 6*o(f). Factor n(s).
5*(s + 1)*(s + 6)
Suppose 2*o - 41*n + 38*n = 0, -17 = -3*o - 4*n. Let w(j) be the first derivative of -6 + 0*j + 2/5*j**2 + 2/15*j**o. What is v in w(v) = 0?
-2, 0
Let u(j) be the second derivative of 0 + 2/9*j**3 + 8*j**2 + 1/90*j**5 + 1/12*j**4 - 14*j. Let m(n) be the first derivative of u(n). Solve m(s) = 0 for s.
-2, -1
Suppose 0 = 3*m + 3*s + 15, m - 298*s + 29 = -302*s. Factor -32/5*w**m + 512/5 + 2/5*w**4 - 512/5*w + 192/5*w**2.
2*(w - 4)**4/5
Let 1683*s**3 - 483*s**3 - 69*s**4 - 23*s**2 - 228*s**4 - 48*s + 7*s**2 - 20*s**2 = 0. Calculate s.
-2/11, 0, 2/9, 4
Let u(r) be the second derivative of -5*r**4/36 - 25*r**3/3 + 155*r**2/6 + 30*r - 8. Factor u(p).
-5*(p - 1)*(p + 31)/3
Suppose 0 = -3*d + 350 + 409. Suppose 9*i - d = -235. Let -5/4 + 1/4*j**i + j = 0. Calculate j.
-5, 1
Let b(h) be the first derivative of -2*h**6/9 + 616*h**5/15 - 6080*h**4/3 + 46208*h**3/9 - 3298. Factor b(a).
-4*a**2*(a - 76)**2*(a - 2)/3
Find o, given that -5920*o**2 + 485*o**3 + 51*o**4 + 4*o**4 + 992 + 4729*o + 1408 - 16869*o = 0.
-15, -2, 2/11, 8
Let z(h) be the first derivative of -h**6/75 - h**5/10 - 7*h**4/30 - h**3/5 - 14*h + 79. Let m(n) be the first derivative of z(n). Suppose m(l) = 0. What is l?
-3, -1, 0
Let u(y) be the second derivative of -y**6/225 - 2*y**5/25 + y**4/2 - 4*y**3/45 - 4*y**2 - 9*y - 15. Find d such that u(d) = 0.
-15, -1, 2
Let u be (0/(-1))/(59 + -57). Let h(b) be the second derivative of 8/9*b**2 + 28/27*b**3 + 11/27*b**4 + 1/18*b**5 + 3*b + u. Factor h(i).
2*(i + 2)**2*(5*i + 2)/9
Solve -158*d**2 + 73*d**2 - 4*d**5 - 12*d + 8 - 2*d**3 + 77*d**2 + 18*d**3 = 0 for d.
-2, -1, 1
Suppose 0 = -109*t + 118*t - 27. Factor -2*y**t + 12*y - 11*y**2 - 16 + 37 + 15 + y**4.
(y - 3)**2*(y + 2)**2
Let s = 66 + -46. Let c = -18 + s. Determine i so that -21*i**2 - 21*i**c + 2*i + 44*i**2 = 0.
-1, 0
Suppose -5*x = 2*j - 170, -4*j + 73 = x + 21. Suppose -5*l = 5*v - 70, 2*v + 4*l - l - x = 0. Suppose -4*z - 2/5*z**2 - v = 0. Calculate z.
-5
Suppose 46595*q + 48 = 4*l + 46590*q, -2*l = -4*q - 36. Factor -9/7 + 0*x + 1/7*x**l.
(x - 3)*(x + 3)/7
Let i(l) be the second derivative of l**5/5 - 62*l**4/15 + 74*l**3/5 + 36*l**2 + 242*l - 4. Factor i(m).
4*(m - 10)*(m - 3)*(5*m + 3)/5
Let l be (8 + -9)/((-6)/(-6)). Let y(k) = -2*k**2. Let x(m) = 330*m**2 - 208*m + 32. Let i(u) = l*x(u) + 4*y(u). Solve i(r) = 0 for r.
4/13
Let x(o) be the first derivative of 6/7*o + 6/5*o**5 + 3/14*o**6 + 24/7*o**3 + 208 + 33/14*o**2 + 39/14*o**4. Suppose x(u) = 0. Calculate u.
-1, -2/3
Let p(y) be the third derivative of y**6/300 + 7*y**5/150 - 77*y**4/30 + 272*y**3/15 + y**2 + 497*y. Factor p(i).
2*(i - 8)*(i - 2)*(i + 17)/5
Let t be (-1 + 45/27)/(2/6). Find p such that 1/2*p**2 + t*p - 5/2 = 0.
-5, 1
Let d(y) be the second derivative of 0*y**2 - 1/3*y**4 + 128*y + 2 + 4/3*y**3. Find a, given that d(a) = 0.
0, 2
Let b be (-18)/(-10) - 8/(1440/(-27))*8. Let 58/7*c - 24/7*c**2 + 2/7*c**b - 36/7 = 0. Calculate c.
1, 2, 9
Suppose 4*g - 56*g = -32*g - 40. Factor 0*c + 3*c**g - 3/2*c**4 - 3/2 + 0*c**3.
-3*(c - 1)**2*(c + 1)**2/2
Let h = 10877/396 + -2546/99. Factor 2*n - h - 1/4*n**2.
-(n - 7)*(n - 1)/4
Let k = -1475217/4 - -368805. Find n, given that -1/4*n**5 - 3/4 - 1/4*n - k*n**4 + 3/2*n**2 + 1/2*n**3 = 0.
-3, -1, 1
Let r(b) be the third derivative of -1/16*b**4 - 2 - 48*b**2 + 0*b + 0*b**3 - 1/80*b**5. Factor r(w).
-3*w*(w + 2)/4
Suppose 0 = 4*n - 31 + 1275. Let s = -5907/19 - n. Determine r so that 0*r**2 - 8/19*r + 0 + s*r**3 = 0.
-2, 0, 2
Let f(l) be the second derivative of l**6/60 - 35*l**2/2 + 2*l + 33. Let t(n) be the first derivative of f(n). Factor t(b).
2*b**3
Let t(k) = 21*k**2 + 242*k + 576. Let i(v) = -8*v**2 - 80*v - 192. Let h(y) = 11*i(y) + 4*t(y). Factor h(j).
-4*(j - 24)*(j + 2)
Let f(x) be the second derivative of 1/120*x**5 - 1/252*x**7 + 8/3*x**2 - 102*x - 19/36*x**4 + 1/30*x**6 + 1 + 0*x**3. Determine o so that f(o) = 0.
-2, -1, 1, 4
Let 0 - 28/3*g**2 - 2/15*g**3 - 46/5*g = 0. Calculate g.
-69, -1, 0
Suppose 333*g + 12*g - 47759 = -747*g + 217597. Suppose -3/4*s**2 - 27*s - g = 0. What is s?
-18
Suppose 0 = -156*k + 163*k + 3773. Let d = k - -543. Factor 0 + 1/6*t**d + 1/3*t**2 + 0*t - 1/2*t**3.
t**2*(t - 2)*(t - 1)/6
Let n(r) = -2177*r - 10881. Let q be n(-5). Factor 5/4*i**3 + 1/4*i**q + 7/4*i**2 + 3/4*i + 0.
i*(i + 1)**2*(i + 3)/4
Let p(x) = -3*x**3 - 3*x**2 + 1. Let s(c) = -20*c**3 - 87*c**2 + 47*c + 35. Let b(f) = -5*p(f) + s(f). Solve b(l) = 0 for l.
-15, -2/5, 1
Let f(j) be the first derivative of -j**8/672 + 13*j**7/336 - j**6/12 - 2*j**3/3 + 41*j**2/2 - 81. Let t(s) be the third derivative of f(s). Factor t(u).
-5*u**2*(u - 12)*(u - 1)/2
Let u be (45/(-117))/(-5)*(0 - 4201). Let f = -323 - u. Factor 0 + 4/13*x**2 - 2/13*x**5 + f*x - 4/13*x**4 + 0*x**3.
-2*x*(x - 1)*(x + 1)**3/13
Let w = -280 - -330. Determine n so that -51*n**3 + 12 + 49*n**2 + 37*n**5 - 63*n**4 - 10*n**5 + 0*n**2 + 72*n + w*n**2 = 0.
-1, -1/3, 2
Let r(a) be the second derivative of -a**4/84 + 39*a**3/14 - 171*a**2/7 + 4480*a. Suppose r(k) = 0. What is k?
3, 114
Let c(a) be the second derivative of -2*a**6/15 + 342*a**5/5 - 28549*a**4/3 - 78888*a**3 - 239432*a**2 + 3452*a. Let c(q) = 0. What is q?
-2, 173
Let j(c) be the first derivative of 0*c + 0*c**2 - 2/3*c**3 + 5 + 1/2*c**4. Solve j(o) = 0.
0, 1
Suppose 2*a - 8 = 2*n, 0 = n - 3*a + 1 + 13. Let y(w) = -5*w**2 - 26*w - 165. Let j(v) = v**2 - 1. Let t(f) = n*y(f) + 4*j(f). What is s in t(s) = 0?
-13
Let n = 21158/3 - 105763/15. Solve -4/5 + 17/5*f - 22/5*f**2 + n*f**3 = 0.
4/9, 1
Determine z so that -654*z**3 - 1352*z - 1248*z**2 + 364*z**3 + 392*z**3 - 2*z**4 = 0.
-1, 0, 26
Let p(t) be the third derivative of -t**6/60 + 143*t**5/15 + t**4/12 - 286*t**3/3 + 10056*t**2. Suppose p(k) = 0. Calculate k.
-1, 1, 286
Let y(d) = 32*d**3 - 36*d**2 + 124*d + 20. Let r(m) = 3*m**3 - 3*m + 2. Let i(l) = 20*r(l) - 2*y(l). What is p in i(p) = 0?
0, 7, 11
Suppose -3174 = -1798*k + 4018. What is n in 68/7*n**2 + 0 + 16/7*n**3 + 24/7*n - k*n**4 = 0?
-1, -3/7, 0, 2
Suppose -8*h + 269 = 11*h + 212. Let g(q) be the third derivative of 5/18*q**h + 0*q**6 + 0 - 6*q**2 + 0*q + 1/126*q**7 + 0*q**4 - 1/18*q**5. Factor g(f).
5*(f - 1)**2*(f + 1)**2/3
Let z be (-5952)/155 + 72 - 33. Suppose 3/5*n**3 + 9/5 - z*n - 9/5*n**2 = 0. Calculate n.
-1, 1, 3
Let w(l) be the second derivative of -1/126*l**7 + 2 + 1/18*l**4 + 13*l + 5/18*l**3 - 1/15*l**5 + 1/3*l**2 - 2/45*l**6. Factor w(a).
-(a - 1)*(a + 1)**3*(a + 2)/3
Let v = -56 + 147. Let t = v - 29. Suppose 0*w**2 - t + 72 + 5*w - 5*w**2 = 0. What is w?
-1, 2
Let f(h) be the first derivative of -35/4*h**4 + 172 + 5*h**3 + 0*h**2 + 4*h**5 + 0*h. Factor f(x).
5*x**2*(x - 1)*(4*x - 3)
Suppose 3*t - 4*t = -3. Suppose -360 = 135*o - 140*o. Find x, given that 8*x**5 + 30*x + 4 + 42*x**4 + o*x**3 + 10*x**t + 75*x**2 - x**2 = 0.
-2, -1, -1/4
Let o(h) be the third derivative of -h**6/90 - 143*h**5/45 - 1079*h**4/9 - 448*h**3 - 2*h**2 - 45*h + 2. Suppose o(g) = 0. Calculate g.
-126, -16, -1
Let a(v) be the first derivative of 0*v + 1/4*v**2 - 1/16*v**4 - 5 + 1/12*v**3. Let a(i) = 0. What is i?
-1, 0, 2
Let n(y) be the third derivative of y**6/300 - 13*y**5/75 + 49*y**4/60 - 8*y**3/5 + 6*y**2 - 58*y. Solve n(c) = 0.
1, 24
Let g = -53815 + 107635/2. Determine r, given that r + g*r**2 - 5/2*r**4 + 3/2*r**5 + 0 - 5/2*r**3 = 0.
-1, -1/3, 0, 1, 2
Let -1029/2*p - 352947/4 - 3/4*p**2 = 0. Calculate p.
-343
Factor -112*a + 663/2 + 1/2*a**2.
(a - 221)*(a - 3)/2
Let o(h) be the second derivative of -2*h**7/7 + 81*h**6/10 - 27*h**5