**5/20 + 795*a**4/8 - 4275*a**3/2 - 4*a**2 + 185. Determine m, given that d(m) = 0.
15, 19
Let m(i) be the third derivative of i**7/140 - 21*i**6/80 + 37*i**5/20 + 24*i**4 + 72*i**3 - 4*i**2 + 122*i - 1. Determine q, given that m(q) = 0.
-2, -1, 12
Let w(h) be the second derivative of -3*h**6/280 + h**5/28 - h**4/56 + 17*h**3/2 + 2*h - 21. Let p(k) be the second derivative of w(k). Factor p(c).
-3*(c - 1)*(9*c - 1)/7
Let t(w) be the third derivative of w**5/36 + 3205*w**4/36 + 2054405*w**3/18 + 174*w**2 - w. Factor t(q).
5*(q + 641)**2/3
Suppose 74*a - 86 - 66 = -4. Factor 5/3*c + 1/3*c**a + 4/3.
(c + 1)*(c + 4)/3
Let w be 7 + 5/(-6) + 6810/180. Let z be 66/w*(80/(-51))/(-4). Find b such that 2/17*b**2 + 0 - z*b = 0.
0, 5
Solve 40/3*b**2 + 4/9*b**3 - 4/9*b - 40/3 = 0.
-30, -1, 1
Determine r so that 30*r**4 + 280*r**2 + 997*r**3 - 5*r**5 - 167*r**2 + 1725*r - 317*r**3 + 293*r**2 + 1404*r**2 + 560 = 0.
-7, -1, 16
Factor 0*h + 2/3*h**4 + 6*h**3 - 20/3*h**2 + 0.
2*h**2*(h - 1)*(h + 10)/3
Find r, given that 4135*r**2 - 1/8*r**5 + 2754 + 1385/8*r**4 - 5510*r - 1380*r**3 = 0.
2, 1377
Let y(p) be the third derivative of -539/114*p**4 + 57*p**2 - 42/19*p**5 + 0*p - 65/114*p**6 - 25/399*p**7 - 343/57*p**3 - 2. Factor y(d).
-2*(d + 1)*(5*d + 7)**3/19
Let f(i) be the third derivative of 2*i**2 + 0 + 117*i + 3/35*i**6 + 4/35*i**5 + 9/490*i**7 + 0*i**4 + 1/784*i**8 + 0*i**3. Find k, given that f(k) = 0.
-4, -1, 0
Suppose 1285*g - 1338*g + 3498 + 13134 = 2026*g. Factor g*q + 10/3*q**3 + 1/3*q**4 + 0 + 28/3*q**2.
q*(q + 2)**2*(q + 6)/3
Let p(i) = -i - 1. Let m be p(-3). Suppose 2*u**2 - 2*u**m + 47*u - 35*u + 2*u**2 = 0. Calculate u.
-6, 0
Let g(c) = 3*c**4 + 55*c**3 - 58*c**2 - 5*c - 5. Let j(x) = x**4 + 28*x**3 - 29*x**2 - 2*x - 2. Let t(s) = 2*g(s) - 5*j(s). Factor t(o).
o**2*(o - 29)*(o - 1)
Let l(x) = -x**2 - 48*x - 250. Let n be l(-6). Let c be 4 - (32/(-12) - -6). Factor c*u - 8/9 + 2/9*u**n.
2*(u - 1)*(u + 4)/9
Let v = -143901/2 + 71952. Factor 3/4*i**2 + v - 9/4*i.
3*(i - 2)*(i - 1)/4
What is g in 31*g**5 + 2*g**4 - 32*g**5 + 0*g**3 + g**3 - 5*g**2 + 32 - 33*g**2 + 4*g**4 = 0?
-2, -1, 1, 4
Let j be (5772/185)/(-52)*-11. What is y in 3 - j*y - 3/5*y**3 + 21/5*y**2 = 0?
1, 5
Let x(r) = r**4 - 830*r**3 + 2389*r**2 + 8. Let l(z) = 15*z**4 - 11615*z**3 + 33445*z**2 + 110. Let t(y) = 4*l(y) - 55*x(y). Suppose t(c) = 0. Calculate c.
0, 3, 159
Let -548/9*h + 2/9*h**2 + 37538/9 = 0. What is h?
137
Solve -298/5*g**4 - 2/5*g**5 - 3452/5*g**2 - 2866/5*g - 858/5 - 348*g**3 = 0.
-143, -3, -1
Let q(s) be the second derivative of 7/2*s**2 + 5*s - 1/2*s**3 - 1/80*s**6 + 0 - 1/10*s**5 - 5/16*s**4. Let y(i) be the first derivative of q(i). Factor y(r).
-3*(r + 1)**2*(r + 2)/2
Let d = -2195486/120483 - -2/13387. Let p = 1166/63 + d. Factor 0 + 0*q - p*q**3 - 4/7*q**2 + 6/7*q**4.
2*q**2*(q - 1)*(3*q + 2)/7
Let k(x) be the first derivative of -x**4/3 - 20*x**3/9 + 26*x**2/3 - 28*x/3 + 914. Suppose k(w) = 0. Calculate w.
-7, 1
Let q(w) = 2*w**3 - 9*w**2 + 5*w - 1. Let a be q(4). Suppose 9 = 3*b - 3*i - 0, a*i + 13 = 4*b. Factor -12*v**2 - 10*v**2 + 18*v**2 + 4*v**b.
4*v**2*(v - 1)*(v + 1)
Let z(l) be the first derivative of -3/20*l**5 + 1/2*l**4 + 10 + l + 1/2*l**3 - 3*l**2. Let f(q) be the first derivative of z(q). Solve f(r) = 0 for r.
-1, 1, 2
Suppose -909*g = -904*g - 205. Factor -5 + 37*k - k**2 + 35*k - 119*k + g*k.
-(k + 1)*(k + 5)
Let q(i) = -380*i - 116. Let l be q(-29). Factor -l - 403*z + 74*z - 3*z**2 - 5083 - 109*z.
-3*(z + 73)**2
Let j(k) be the second derivative of -k**7/189 - 4*k**6/135 + k**5/3 + 50*k**4/27 - 125*k**3/27 + 610*k + 1. Let j(z) = 0. Calculate z.
-5, 0, 1, 5
Let b(a) be the second derivative of 2*a + 23/8*a**2 + 25/48*a**4 + 1 - 1/80*a**5 - 47/24*a**3. Factor b(t).
-(t - 23)*(t - 1)**2/4
Let i(w) be the first derivative of 1123*w + 30*w**2 + 238*w + w**3 + 91*w + 84 + 36*w**2. Factor i(z).
3*(z + 22)**2
Let n(f) be the second derivative of 729*f**5/20 + 171*f**4/4 - 100*f**3/3 + 8*f**2 + 26*f + 11. Factor n(c).
(c + 1)*(27*c - 4)**2
Suppose 5*w + 37*r - 17 = 34*r, 17 = 4*w - r. Let b = 2 - -3. Factor -2*m**3 - m**3 + 2*m**3 - 6*m**4 + b*m**w.
-m**3*(m + 1)
Let a(z) = -2*z**2 + 22*z - 61. Let x be a(5). Let n be 25/(-100) + (x - 15/(-12)). Factor 1/4*j**5 + 0*j**2 + 0*j + 0 + 1/2*j**4 + n*j**3.
j**4*(j + 2)/4
Let n(v) be the third derivative of v**10/1360800 + v**9/68040 + v**8/11340 + v**5/15 + v**2. Let b(d) be the third derivative of n(d). Factor b(t).
t**2*(t + 4)**2/9
Let m(a) be the first derivative of a**4/60 + 2*a**3/15 + 8*a - 33. Let c(x) be the first derivative of m(x). Factor c(u).
u*(u + 4)/5
Let t(q) = 93*q**3 + 943*q**2 - 3874*q + 3869. Let f(b) = -43*b**3 - 472*b**2 + 1936*b - 1934. Let n(s) = -13*f(s) - 6*t(s). Factor n(d).
(d - 2)**2*(d + 482)
Let o(r) be the second derivative of -r**8/112 - 3*r**7/70 + r**6/10 + 17*r**2/2 - 7*r - 5. Let d(l) be the first derivative of o(l). Find p such that d(p) = 0.
-4, 0, 1
Let a = -1149358/3 + 383886. Find q, given that 130/3*q**4 + 2/3*q**5 + 5890/3*q + 6140/3*q**2 + 1922/3 + a*q**3 = 0.
-31, -1
Factor 9 + 15 + 13 - 25 + 400*h**2 + 80*h - 8.
4*(10*h + 1)**2
Determine x so that -279*x**2 + 2*x**4 - 30*x**5 - 505*x - 6 + 579*x + 180*x**3 + 507*x**2 = 0.
-1, 1/15, 3
Let j(d) be the second derivative of -d**5/70 - 47*d**4/7 - 187*d**3/7 - 40*d**2 + 1790*d. Find r such that j(r) = 0.
-280, -1
Let m = 2385953/3 - 795311. Find t such that -8/3 - 5/3*t**3 + 2/3*t**2 + m*t = 0.
-2, 2/5, 2
Let g = -2923/131 - -38261/1703. Solve -104 - 3746/13*p**2 - 304*p - g*p**5 - 1046/13*p**3 + 98/13*p**4 = 0.
-1, 26
Let u be 12/(-14)*749/(-963). Let q(t) be the second derivative of 4*t**2 + 7/5*t**5 + 2*t + t**4 + 0 - 14/3*t**3 - u*t**6. Find i, given that q(i) = 0.
-1, 2/5, 1
Let l(q) be the second derivative of q**4/4 - 837*q**3/2 + 4865*q. Factor l(n).
3*n*(n - 837)
Let d(q) be the third derivative of -7/15*q**5 - 10/3*q**3 - 1/30*q**6 + 2*q - 11/6*q**4 + 0 - 29*q**2. Suppose d(k) = 0. Calculate k.
-5, -1
Let b be (-9)/(-12)*-56*2/(-4). Factor -75*q**2 - 72*q**4 + 94*q - 52*q**3 - 50 + 57*q**3 + b*q + 77*q**4.
5*(q - 2)*(q - 1)**2*(q + 5)
Let f(q) be the third derivative of 289*q**5/120 + 187*q**4/2 + 1452*q**3 - 1868*q**2. Factor f(i).
(17*i + 132)**2/2
Let i(p) be the third derivative of p**8/112 - 3*p**7/10 - 11*p**6/20 - 1371*p**2. Find j, given that i(j) = 0.
-1, 0, 22
Let d(l) = 5*l**4 + 290*l**3 - 299*l**2 - 608*l - 18. Let j(h) = -5*h**4 - 290*h**3 + 298*h**2 + 611*h + 21. Let s(b) = 7*d(b) + 6*j(b). Solve s(q) = 0.
-59, -1, 0, 2
Let t(q) be the first derivative of -5*q**6/6 - 20*q**5 + 5*q**4 + 400*q**3/3 + 1086. Find a, given that t(a) = 0.
-20, -2, 0, 2
Factor -312*p - 532*p**2 + 1058*p**2 - 522*p**2.
4*p*(p - 78)
Let m(b) be the third derivative of b**7/420 + 37*b**6/120 + 78*b**5/5 + 360*b**4 + 2304*b**3 - 20*b**2 - 2*b. Suppose m(k) = 0. What is k?
-24, -2
Let v(h) = -34*h**3 + 23*h**2 - h - 20. Let l(y) = -y**3 - 3*y**2 + y - 5. Let f(o) = -4*l(o) + v(o). Suppose f(m) = 0. Calculate m.
0, 1/6, 1
Suppose 0 = -16*b + 18*b + 10. Let s = b - -93. What is j in -3*j + 37*j**4 - s*j**4 + 6*j**2 + 3*j**5 + 45*j**4 = 0?
-1, 0, 1
Let w(m) be the second derivative of m**7/126 - m**6/9 + m**5/5 + 29*m**4/18 + 35*m**3/18 + 5048*m. Solve w(c) = 0.
-1, 0, 5, 7
Let o(s) be the third derivative of s**7/280 - 41*s**6/160 - 59*s**5/20 + 69*s**4/8 - 61*s**2 + 1. Let o(q) = 0. What is q?
-6, 0, 1, 46
Let n = -1591 + 1669. Suppose n*c = -23 + 179. Factor 5/3*l**3 - 11/3*l + c - 4*l**2.
(l - 3)*(l + 1)*(5*l - 2)/3
Let q be 2/70 - (-269284)/544180*13. Solve -q*j**3 + 50/13*j**4 - 8/13*j**5 + 8*j - 24/13 - 14/13*j**2 = 0 for j.
-1, 1/4, 2, 3
Let i(x) be the second derivative of -x**5/50 + 7*x**4/10 - 18*x**3/5 - 2*x + 83. Find k such that i(k) = 0.
0, 3, 18
Let j(x) be the third derivative of x**8/336 - 2*x**7/35 - 3*x**6/20 + 82*x**5/15 + 219*x**4/8 + 54*x**3 - x**2 - 1151*x. Let j(u) = 0. What is u?
-4, -1, 9
Let a = 116516 - 116514. Factor 20/11 + 16/11*d**a - 2/11*d**3 + 38/11*d.
-2*(d - 10)*(d + 1)**2/11
Suppose f - 3*x - 6 = -19, -4*f - 12 = -4*x. Suppose -f*b + 2 = -4. What is m in -4*m**b - 23*m + 23*m + 4*m**4 = 0?
0, 1
Let p(l) be the third derivative of 1/12*l**4 - 10/7*l**3 - 93*l**2 + 1/210*l**5 + 0