+ 43200*n**2 - 160000*n + 816. Suppose q(h) = 0. Calculate h.
-4, 1, 50
Suppose -28 = -5*z - 8. Factor 105*v**4 - 55*v**z + 130*v**4 - 324*v**5 + 128*v**3 + 16*v**2.
-4*v**2*(v - 1)*(9*v + 2)**2
Suppose 11*h - 6*h = 20. Suppose h = -t, -4*z + 5*t - 11 = -39. Determine k, given that 2*k + z*k + 0*k**2 - 4*k**2 = 0.
0, 1
Let j = 1837 + -1777. Suppose 7*u + j = 22*u. Determine x, given that 482/9*x**2 - 34/9*x**u + 2/9*x**5 + 200/9 + 86/9*x**3 + 560/9*x = 0.
-1, 10
Let u(g) be the third derivative of g**7/210 - 349*g**6/60 + 2030*g**5 + 349*g**4/12 - 121801*g**3/6 + 3230*g**2. Factor u(m).
(m - 349)**2*(m - 1)*(m + 1)
Factor 3/4*k**2 - 102*k + 405/4.
3*(k - 135)*(k - 1)/4
Let u(n) = -14*n**2 - 182*n - 370. Let g(s) = -188*s**2 - 2363*s - 4811. Let l(d) = -4*g(d) + 54*u(d). Factor l(h).
-4*(h + 2)*(h + 92)
Let j(y) = -2*y**3 + 16*y**2 - 29*y + 15. Let x be j(10). Let l = x - -4755/7. What is c in l*c**3 - 46/7*c**2 - 30/7*c - 4/7 + 50/7*c**4 = 0?
-1, -2/5, -1/5, 1
Let q = -28861 - -28863. What is m in -4/5*m - 1 + 1/5*m**q = 0?
-1, 5
Factor -1248*l + 1441*l**2 + 256 + 195*l**3 + 25/4*l**4.
(l + 16)**2*(5*l - 2)**2/4
Let p(r) be the third derivative of -2/1995*r**7 + 3/1064*r**8 + 0*r**4 - 148*r**2 + 0*r**3 + 1/285*r**5 - 3/380*r**6 + 0*r + 0. Let p(i) = 0. Calculate i.
-1, 0, 2/9, 1
Let f = -275 - -283. Let f*d**2 + 44*d - 20 + d**2 - 28 - 5*d**2 = 0. What is d?
-12, 1
Suppose 0 = 829*p - 2288 - 199. Determine q, given that -9/7*q**4 - 36/7 - 48/7*q**p + 48/7*q + 45/7*q**2 = 0.
-6, -1, 2/3, 1
Let l(d) = d**2 + 3*d - 1. Let w be l(1). Factor 4*y**5 - 391*y**2 - 56*y**4 - 77*y**3 - 512 - 409*y**2 + 381*y**w + 1024*y.
4*(y - 4)**2*(y - 2)**3
Find v, given that 6*v + 12 - 22/3*v**2 - 2/3*v**3 + 2/3*v**4 = 0.
-3, -1, 2, 3
Let a be (-80)/5*1/2. Let v(q) = q**3 + 10*q**2 + 18*q + 21. Let m be v(a). Factor -4/9*x**2 + 4/9*x**4 - 4/9*x**3 + 0*x + 4/9*x**m + 0.
4*x**2*(x - 1)*(x + 1)**2/9
Let v(f) be the third derivative of -f**8/336 + f**7/30 + 17*f**6/24 - 91*f**5/60 - 431*f**2 + 2*f. Suppose v(t) = 0. Calculate t.
-7, 0, 1, 13
Let j = -151 + 154. Let 65*o**2 - 31*o**2 - 7*o + o**j - 32*o**2 + 4 = 0. What is o?
-4, 1
Solve 76*p - 4/7*p**2 + 1080/7 = 0.
-2, 135
Let v(j) be the first derivative of -9*j**5/25 + 43*j**4/20 - 53*j**3/15 + 13*j**2/10 + 6*j/5 + 2076. Suppose v(f) = 0. Calculate f.
-2/9, 1, 3
Let v(x) be the second derivative of x**6/660 + 7*x**5/330 + 5*x**4/66 - 11*x**2/2 - 104*x. Let f(d) be the first derivative of v(d). Solve f(n) = 0.
-5, -2, 0
Suppose -2*v - 6*v + 120 = 0. Let s be (-20)/v - (-210)/9. Factor i**2 + 25*i**3 + 8*i**2 - s*i**3 + 9*i - 1 + 4.
3*(i + 1)**3
Factor -353/3*u + 1/3*u**4 - 142/3 - 67/3*u**3 - 93*u**2.
(u - 71)*(u + 1)**2*(u + 2)/3
Let i(p) be the third derivative of 1/2352*p**8 - 1/140*p**6 - 9/56*p**4 + 0*p + 0 + 17*p**2 + 3/35*p**5 - 2/735*p**7 + 0*p**3. Find y such that i(y) = 0.
-3, 0, 1, 3
Determine x so that -43*x**5 + 153926*x - 1720*x**2 + 0*x**5 + 100*x**4 + 395*x**3 - 720 + 8*x**5 - 151946*x = 0.
-4, 6/7, 1, 2, 3
Let r(n) = n**3 - 43*n**2 - 108*n + 5. Let g(y) = y**2 - 3*y - 1. Let c(q) = 5*g(q) + r(q). Determine x, given that c(x) = 0.
-3, 0, 41
Let o be (-3 - -6) + 5/(570/(-35694)). Let f = -310 - o. Factor 2/19*w**2 - 2/19 - 2/19*w**3 + f*w.
-2*(w - 1)**2*(w + 1)/19
Let a = 2733816823/868284 - 560339/178. Let t = a - 1/1084. Let 0 + 0*o**2 + 2*o**4 - 17/9*o**3 + 4/9*o - t*o**5 = 0. Calculate o.
-2/5, 0, 1, 2
Suppose -31*h - 52*h - 22 + 110 = -161. Find x, given that 2/7*x + 24/7*x**2 - 24/7 - 2/7*x**h = 0.
-1, 1, 12
Let b(v) be the second derivative of -v**7/45 + 16*v**6/225 + 32*v**5/25 + 133*v**4/45 + 11*v**3/9 - 14*v**2/5 + 753*v. Determine n so that b(n) = 0.
-3, -1, 2/7, 7
Let -200/3*u**2 + 203/3*u + 134 - 1/3*u**3 = 0. What is u?
-201, -1, 2
Let n(r) be the first derivative of 4/15*r + 1/30*r**4 - 49 - 4/45*r**3 - 1/15*r**2. Suppose n(a) = 0. Calculate a.
-1, 1, 2
Let i(d) be the second derivative of d**7/168 - 47*d**6/20 + 20159*d**5/80 - 19459*d**4/24 - 840*d**3 + 4900*d**2 - 3162*d. Determine o, given that i(o) = 0.
-1, 1, 2, 140
Let p(s) be the first derivative of s**4/4 - 277*s**3/9 + 489*s**2 + 2080*s/3 - 5493. Suppose p(u) = 0. What is u?
-2/3, 13, 80
Suppose -4 = -d - m, 5*d + 2551*m = 2547*m + 18. Find o, given that 6/7*o + 0 + 2/7*o**d = 0.
-3, 0
Let s(z) = 42*z**3 - 26*z**2 - 10*z + 1. Let l(d) = -42*d**3 + 26*d**2 + 12*d - 2. Let n(h) = -7*l(h) - 6*s(h). Factor n(g).
2*(g - 1)*(3*g + 2)*(7*g - 2)
Let j(o) be the third derivative of o**8/2016 - o**7/126 + 31*o**6/720 - 11*o**5/180 - 2*o**4/9 + 8*o**3/9 - 444*o**2. Let j(s) = 0. Calculate s.
-1, 1, 2, 4
Let a(t) = t**3 - 17*t**2 - 37*t + 34. Let c be a(19). Suppose -54*s + c*s = -2. Find d, given that -16/3*d + 8/3 + s*d**2 = 0.
2/3, 2
Suppose -1972 = -615*m - 127. Let t(f) be the first derivative of 2/45*f**5 + 2/27*f**6 + 1/9*f**2 - 7/18*f**4 + 4/9*f - 14/27*f**m - 36. What is j in t(j) = 0?
-1, 1/2, 2
Factor -8/15*z**4 + 6*z**2 - 72/5*z - 16/15*z**5 + 116/15*z**3 - 72/5.
-2*(z - 2)**2*(2*z + 3)**3/15
Let z(k) be the second derivative of -k**6/2700 - k**5/900 + k**4/90 + 28*k**3/3 + 31*k. Let m(i) be the second derivative of z(i). Find x, given that m(x) = 0.
-2, 1
Let l(i) = -805 + 4*i**3 + 804 - i - 3*i**3. Let p(w) = 3*w**4 + 3*w**3 - w**2 - w + 1. Let y(o) = l(o) + p(o). Determine m, given that y(m) = 0.
-1, 0, 2/3
Let t = 53 + -64. Let n(m) = 9*m**2 + 186*m + 1797. Let u(o) = 26*o**2 + 559*o + 5393. Let k(l) = t*n(l) + 4*u(l). Factor k(i).
5*(i + 19)**2
Factor -3*s**2 - 5*s**2 + 776*s + 972*s - 12*s**2 + 24*s**2.
4*s*(s + 437)
Let g(y) = 14*y**2 - 151*y - 162. Let i be g(-1). Solve 28/17*u**2 - 8/17*u**4 + 40/17*u - 2/17*u**i + 16/17 - 2/17*u**5 = 0.
-2, -1, 2
Let d(q) be the second derivative of 2 - 89*q + 1/2*q**4 + 0*q**2 + 3/20*q**5 + 1/2*q**3. Solve d(z) = 0 for z.
-1, 0
Suppose 3363 + 110*p - 69*p**2 - 42*p**3 - 3*p**4 - 68*p - 3291 = 0. Calculate p.
-12, -2, -1, 1
Let t(y) be the first derivative of -12*y**5/5 + 23*y**4/2 + 620*y**3/3 - 273*y**2 - 108*y - 3556. Determine n, given that t(n) = 0.
-6, -1/6, 1, 9
Let q(x) = -x**2 + 6*x + 9. Let p be q(7). Let a = -379 + 380. Let 1 + 0*m + m - a - 1 + 2*m**p = 0. What is m?
-1, 1/2
Let f(u) = u**3 + 125*u**2 - 779*u + 921. Let a be f(-131). Let 5*i**a - 4/7*i**3 + 0 - 4/7*i**2 + 0*i = 0. What is i?
-2/7, 0, 2/5
Let u(g) be the second derivative of -882/5*g**2 + 28/5*g**3 - 1/15*g**4 + 2 + 15*g. Factor u(w).
-4*(w - 21)**2/5
Factor -275*u**2 + 3*u**3 + 478*u**2 - 630 - 293*u**2 - 507*u.
3*(u - 35)*(u + 2)*(u + 3)
Let x(g) be the second derivative of 8 - 41/12*g**5 + 187/18*g**4 - 2*g + 26/45*g**6 - 50/3*g**3 + 12*g**2 - 5/126*g**7. Find b, given that x(b) = 0.
2/5, 2, 3
Let m(o) = -o**3 - 62*o**2 + 2183*o + 698. Let g be m(-87). Determine c, given that -8/9*c**g + 0 + 0*c - 16/9*c**3 + 10/9*c**4 = 0.
-2/5, 0, 2
Let m = 33661509 + -100311295633/2980. Let g = 1/596 + m. Factor -g*c**4 + 6/5*c**2 + 0*c**3 + 4/5*c + 0.
-2*c*(c - 2)*(c + 1)**2/5
Factor 1390*f**2 + 3345*f - 45 - 476*f**2 + 905*f**2 + 375*f**3 + 426*f**2.
5*(f + 3)**2*(75*f - 1)
Let b = 21 - -91. What is d in 0*d**4 - 2*d**2 - 76*d - 71*d**3 - b*d**2 + 7*d**3 - 16 - 10*d**4 = 0?
-4, -1, -2/5
Factor 878*x**2 - 4212706 + 1395823 + 5814*x - 881*x**2.
-3*(x - 969)**2
Let w(j) be the first derivative of 5*j**3/3 + 25*j**2/2 - 420*j - 1241. Let w(l) = 0. What is l?
-12, 7
Let b(p) = -13 - 299*p + 61 + 297*p + 16. Let q be b(32). Solve q - 2/23*w**2 - 4/23*w = 0 for w.
-2, 0
Factor -413490*r - 281 + 413342*r - r**2 - 3*r**2 - 359.
-4*(r + 5)*(r + 32)
Let d(s) = -4*s**2 + 568*s + 560. Let w(z) = 4*z**2 - 572*z - 562. Let u(o) = 7*d(o) + 6*w(o). Solve u(i) = 0 for i.
-1, 137
Let w(r) be the first derivative of -1/3*r**3 + 0*r**2 + 0*r - 57 + 1/4*r**4. Factor w(a).
a**2*(a - 1)
Let a(f) = 12300*f + 98402. Let g be a(-8). Determine l, given that 0 - 14/3*l - 2/3*l**g = 0.
-7, 0
Let n(f) be the third derivative of f**5/240 - 11*f**4/96 + 5*f**3/12 + 28*f**2. Determine y so that n(y) = 0.
1, 10
Let x be (-2355)/(-3290) - -6 - (-6)/(-14). Let y = x - 84/47. Find f such that 3 - 9*f**3 + y*f**5 + 9/2*f + 3*f**4 - 6*f**2 = 0.
-1, -2/3, 1
Let l(u) be the first derivative of 4*u**5/45 + 34*u**4/9 - 160*u**3/27 - 356*u**2/9 - 140*u/3 