2 - 54*j - 93. Let h(n) be the first derivative of i(n). Factor h(x).
-(x - 1)*(x + 11)/6
Let n(w) = 61*w**3 - 69*w**3 + 5*w - 8 + 6*w**2 + 2 - 12*w. Let d(s) = -9*s**3 + 6*s**2 - 9*s - 6. Let g(v) = 5*d(v) - 6*n(v). Suppose g(x) = 0. What is x?
-1, 1, 2
Let u be (-11)/(-44)*-28 + 7. Let c(a) be the third derivative of u + 2*a**4 - 16*a**2 - 1/10*a**6 - 8*a**3 + 0*a + 1/70*a**7 + 0*a**5. Solve c(f) = 0 for f.
-2, 2
Factor -98135 + 662*r - 3*r**2 - 16447 + 4*r**2 - 2*r**2 + 5021.
-(r - 331)**2
Let k(n) be the second derivative of 1/3*n**4 - 4 + 0*n**2 - 6*n - 4*n**3. Solve k(z) = 0 for z.
0, 6
Let l(c) be the third derivative of 0*c**4 + 1/525*c**7 + 0 + 0*c + 2*c**2 + 0*c**3 - 1/75*c**6 - 1/30*c**5. Factor l(q).
2*q**2*(q - 5)*(q + 1)/5
Suppose -107*h + 8 = -105*h. Factor 37*d**3 - d**4 - 5*d**3 - 108*d - d**3 - 2*d**h + 2*d**3 - 72*d**2.
-3*d*(d - 6)**2*(d + 1)
Let a be (-2)/(8/6 - (-1748)/(-69)). Let r(v) be the first derivative of 0*v**2 - 4/3*v - 2 - a*v**4 + 1/3*v**3. Let r(o) = 0. Calculate o.
-1, 2
Let z be (-5)/(-11 - -13 - 8). Let h(v) be the third derivative of 5/3*v**3 + 55/24*v**4 - 1/3*v**6 + 0*v + 8*v**2 + 0 + z*v**5. Let h(a) = 0. Calculate a.
-1/2, -1/4, 2
Let d(h) = -h**4 - 654*h**3 - 2812*h**2 - 3513*h - 1399. Let p(y) = 328*y**3 + 1404*y**2 + 1756*y + 700. Let t(l) = -4*d(l) - 9*p(l). Factor t(k).
4*(k - 88)*(k + 1)**2*(k + 2)
Let p = -6087123/4 + 1521783. Let x(k) = k**2 - 2*k - 1. Let m be x(3). Factor 0 - p*u + 3/4*u**m.
3*u*(u - 3)/4
Factor 149/3*b**2 + 1/3*b**4 + 24 + 40/3*b**3 + 182/3*b.
(b + 1)**2*(b + 2)*(b + 36)/3
Let d(x) = -64*x**2 + 1975*x - 1911. Let c(g) = -20*g**2 + 658*g - 638. Let k(q) = 19*c(q) - 6*d(q). Find h such that k(h) = 0.
-164, 1
Let n(t) = -19*t**2 - 34*t + 79. Let z(l) = 23*l**2 + 32*l - 78. Let j(w) = 6*n(w) + 5*z(w). Factor j(s).
(s - 42)*(s - 2)
Factor -1/4*y**2 + 353/4 - 88*y.
-(y - 1)*(y + 353)/4
Let m(p) = p + 14. Let l be m(-11). Suppose 4*a = -n + 10, -l*n - 12 = -a - a. Factor 3*r**a - 3*r**4 + 6*r + 5 - 18*r - 5 + 12*r**2.
-3*r*(r - 2)*(r - 1)*(r + 2)
Factor -25/3 - 8*s**2 + 1/6*s**3 - 33/2*s.
(s - 50)*(s + 1)**2/6
Let i be (42/28)/(2/(-32)). Let z be (-2)/(-6) - (112/i - -2). Factor -12*y**3 + 45*y**4 - 4*y**5 - z*y**2 - y**2 - 57*y**4.
-4*y**2*(y + 1)**3
Let w(x) be the first derivative of x**6/2700 + 11*x**5/450 + 121*x**4/180 + 157*x**3/3 + 51. Let m(t) be the third derivative of w(t). Factor m(u).
2*(u + 11)**2/15
Let t = 7272/12115 + -3/12115. Factor 3/5*s**3 + t*s**2 + 0 + 0*s.
3*s**2*(s + 1)/5
Let k(x) = 5*x**2 + 43*x - 7*x + 13 - 3. Let o be k(-7). Factor -32*a + 24*a**o + 21*a**2 - 16 - 25*a**2 + 12*a**2 - 9*a**4.
-(a - 2)**2*(3*a + 2)**2
Let h(w) be the second derivative of w**7/5670 - 7*w**6/3240 + w**5/108 - 5*w**4/2 + w**3/6 + 56*w. Let f(k) be the third derivative of h(k). Factor f(o).
2*(o - 1)*(2*o - 5)/9
Let z = 2459/45 + -490/9. Let w(s) be the first derivative of -1/6*s**6 + z*s**5 + 0*s - 13 + 0*s**4 + 0*s**2 + 0*s**3. What is v in w(v) = 0?
0, 1
Let w(h) be the second derivative of h**5/80 - 53*h**4/16 + 311*h**3/24 + 471*h**2/8 + 1586*h. Find l, given that w(l) = 0.
-1, 3, 157
Find k, given that -3068/3*k**3 - 7938 + 262/9*k**4 - 2/9*k**5 - 2394*k + 4492*k**2 = 0.
-1, 3, 63
Let s(r) be the third derivative of 1/1140*r**6 + 147*r**2 + 1/12*r**4 - 3/19*r**3 + 0*r - 11/570*r**5 + 0. Factor s(c).
2*(c - 9)*(c - 1)**2/19
Let i(o) be the third derivative of -19*o**8/2160 - 11*o**7/1260 - o**6/270 - 29*o**5/30 - 11*o**2 - 3*o. Let u(p) be the third derivative of i(p). Factor u(k).
-4*(7*k + 1)*(19*k + 2)/3
Let l(c) be the third derivative of -c**7/105 + 77*c**6/60 - 37*c**5/5 - c**4/3 + 296*c**3/3 - c**2 + 614. Factor l(g).
-2*(g - 74)*(g - 2)**2*(g + 1)
Let w = -190 - -200. Suppose 2*u - 47*x = -44*x + 10, 2*x - w = -2*u. Find j such that -2*j**3 + 2/3*j**u + 2/3*j**4 + 0 - 2/3*j**2 + 4/3*j = 0.
-2, -1, 0, 1
Let p(g) be the first derivative of 2*g**5/45 + 8*g**4/9 + 58*g**3/9 + 184*g**2/9 + 224*g/9 + 623. Find q, given that p(q) = 0.
-7, -4, -1
Let n be (87647/95)/((-18)/10). Let q = -511 - n. Factor 2/9*d**5 - q*d**4 + 32/9*d - 50/9*d**2 + 38/9*d**3 - 8/9.
2*(d - 2)**2*(d - 1)**3/9
Let m(h) be the third derivative of -h**5/80 - h**4/32 + 5*h**3/2 + 75*h**2 + 9*h. Let m(n) = 0. Calculate n.
-5, 4
Determine g so that -385*g - 1/5*g**4 + 642/5 - 639/5*g**3 + 1923/5*g**2 = 0.
-642, 1
Let -15903/2*o**2 + 609/4*o**3 - 15000 + 22800*o - 3/4*o**4 = 0. Calculate o.
1, 2, 100
Suppose 118*o - 134 - 175 = 21*o - 6*o. Suppose -116/5*p**2 + 0 - 1682/5*p - 2/5*p**o = 0. Calculate p.
-29, 0
Let v(c) be the first derivative of 2/5*c**3 + 0*c + 0*c**2 - 72 - 1/10*c**4. Find h such that v(h) = 0.
0, 3
Let w(q) be the first derivative of -3/5*q**5 - 3/2*q**4 + 3*q**2 + 0*q**3 + 33 + 3*q. Find v, given that w(v) = 0.
-1, 1
Factor -4*l + 0 - 2/9*l**3 + 38/9*l**2.
-2*l*(l - 18)*(l - 1)/9
Let i = -16/649 + -7701/29854. Let j = 5/23 - i. Find x such that -9/4*x + 9/4*x**3 - 1/2 + x**4 - j*x**2 = 0.
-2, -1, -1/4, 1
Let g be 6854/10 + (-138)/345. Let p = -685 + g. Solve -4/7*k**3 + 2/7 + 4/7*k + p*k**2 - 2/7*k**4 = 0 for k.
-1, 1
Suppose -5*d + 3*p = 138, -2*d + p - 12 = 44. Let j be 8/14 + d/175. Factor j*a**2 - 4/5 - 2/5*a.
2*(a - 2)*(a + 1)/5
Let s = 64 - 60. Suppose -s*n = 4 - 120. Factor 160*j**4 + 132*j**3 + 93*j**5 - 15*j**2 - n*j**5 + 35*j**2 + 4*j + 20*j**2.
4*j*(j + 1)**2*(4*j + 1)**2
Let g(d) be the second derivative of -d**5/12 - 205*d**4/36 - 1100*d**3/9 - 1000*d**2/3 - 1340*d. Factor g(p).
-5*(p + 1)*(p + 20)**2/3
Let u(z) be the first derivative of -14*z**5/45 + 65*z**4/18 - 124*z**3/9 + 188*z**2/9 - 80*z/9 - 806. Suppose u(m) = 0. What is m?
2/7, 2, 5
Let o(p) be the third derivative of -p**8/2352 - p**7/35 - 59*p**6/168 - 27*p**5/14 - 241*p**4/42 - 68*p**3/7 - p**2 - 13*p - 56. Let o(f) = 0. Calculate f.
-34, -3, -2, -1
What is s in 98*s**4 - 20*s**3 - 178*s**4 + 76*s**4 = 0?
-5, 0
Let m = -13071/14 - -1869/2. Factor -1/7*n**3 + 5/7*n**2 + m*n + 0.
-n*(n - 6)*(n + 1)/7
Suppose -5*d = -3*s + 9, 42*s - 46*s = 3*d - 12. Let j(i) be the second derivative of 0*i**2 + 2/9*i**s + 0 + 1/30*i**5 - 39*i + 1/6*i**4. Factor j(r).
2*r*(r + 1)*(r + 2)/3
Let w = -223 - -227. Determine o, given that 21*o**w - 54*o**3 - 3*o**5 - 46*o**2 - 4*o**5 + 4*o**5 - 39*o + 112*o**2 + 9 = 0.
1, 3
Suppose -42 = -4*a + 3*p, 11*a - 113 = -10*a + 5*p. Factor 3*z + 0 - 1/2*z**a + 5/2*z**2.
-z*(z - 6)*(z + 1)/2
Let o(n) be the first derivative of 1/2*n**2 + 15 - 1/3*n**3 + 7*n. Let u(l) = -l - 3. Let c(f) = -2*o(f) - 5*u(f). Factor c(v).
(v + 1)*(2*v + 1)
Let c(i) be the first derivative of -i**4/12 - 40*i**3/9 + 2*i**2/3 + 160*i/3 + 4630. Factor c(l).
-(l - 2)*(l + 2)*(l + 40)/3
Find m, given that 3*m**3 + 1401*m + 1279*m - 914*m - 365*m + 1299*m - 180*m**2 = 0.
0, 30
Factor 6759 + 645*h**2 + 3371 - 490*h**2 + 1161*h**2 - 4*h**3 + 8004*h + 1930.
-4*(h - 335)*(h + 3)**2
Suppose 24*o - 30 = 18*o. Suppose 3*w = -o*a - 14, -4*a = -3*w - 2*w + 26. Suppose -3/5 - 3/5*c**w + 6/5*c = 0. What is c?
1
What is x in -38 + 4 + 12 - 38 - 378*x**2 - 132*x**3 - 3*x**4 - 63 - 372*x = 0?
-41, -1
Let 224/11 - 2/11*d**2 - 48/11*d = 0. Calculate d.
-28, 4
Let m be 86/39 - (-1 - 14/(-26)). Let u(i) be the first derivative of 18 + m*i**3 - 1/2*i**4 - 12*i - i**2. Suppose u(p) = 0. Calculate p.
-1, 2, 3
Let x(i) be the second derivative of -i**7/378 - i**6/54 - i**5/45 - 1653*i. Factor x(r).
-r**3*(r + 1)*(r + 4)/9
Let t(u) be the second derivative of -1/30*u**5 + 1/9*u**4 + 0*u**2 + 102*u + 0 + 8/3*u**3. Factor t(m).
-2*m*(m - 6)*(m + 4)/3
Let c be (-627)/22 - (-1)/2. Let p be (-5)/20 - 21/c. Factor -j**2 + 1/2*j + 1 - p*j**3.
-(j - 1)*(j + 1)*(j + 2)/2
Let n(h) = h**4 + 18*h**3 + 83*h**2 - 48*h + 18. Let b(p) = 8*p**3 + 40*p**2 - 24*p + 8. Let v(w) = 9*b(w) - 4*n(w). What is d in v(d) = 0?
-3, 0, 1, 2
Let p(m) be the second derivative of -m**4/3 + 334*m**3/3 - 332*m**2 + m - 1179. Solve p(b) = 0 for b.
1, 166
Let d(h) be the first derivative of h**7/630 - h**6/180 + h**5/180 - h**2 - 22*h - 56. Let i(t) be the second derivative of d(t). Factor i(g).
g**2*(g - 1)**2/3
Let r(h) = -h**2 + 14*h + 9. Let x be r(10). Let i = -44 + x. Factor -i*m**2 - 27*m - 9 + 0*m**2 + 0 - 1.
-(m + 5)*(5*m + 2)
Let g(i) be the second derivative of -