hat t(p) = 0.
-2, 1, 2, 5
Let q(c) be the third derivative of 5*c + 0 - 1/45*c**3 - 1/60*c**4 - 1/900*c**6 - c**2 - 1/150*c**5. Factor q(x).
-2*(x + 1)**3/15
Let m(r) be the first derivative of 252*r**2 - 261*r**2 - r**3 + 138 + 20. Factor m(d).
-3*d*(d + 6)
Factor 4 + 1/3*f**2 - 13/3*f.
(f - 12)*(f - 1)/3
Let q be 8/(3 - 1) - -2. Suppose 2 = 2*z - 4*s, 0*s = -z - 3*s + q. Factor 47*j + 4*j**3 - 3 + 2*j**3 - 3*j**5 + 0*j**3 + 6*j**2 - 50*j - z*j**4.
-3*(j - 1)**2*(j + 1)**3
Let t(j) be the second derivative of -j**6/6 + 3*j**5/4 + 25*j**4/2 - 310*j**3/3 + 300*j**2 - 881*j. Factor t(o).
-5*(o - 5)*(o - 2)**2*(o + 6)
Let d(w) be the second derivative of w**7/105 - 28*w**6/75 + 51*w**5/25 - 74*w**4/15 + 97*w**3/15 - 24*w**2/5 - 666*w. Factor d(z).
2*(z - 24)*(z - 1)**4/5
Suppose -13*r - 201 = 371. Let p be (-46 - r)/((-2 - -2) + -1). Factor 9/2*i - 6*i**p - 1 + 5/2*i**3.
(i - 1)**2*(5*i - 2)/2
Let t be 3/(83/498 + 23/24). Find m, given that 2*m**2 - t*m - 8/3 + 8/3*m**3 + 2/3*m**4 = 0.
-2, -1, 1
Let n(u) be the first derivative of 3*u**5/40 + 7*u**4/2 + 27*u**3/4 + 174*u - 168. Let s(r) be the first derivative of n(r). Factor s(i).
3*i*(i + 1)*(i + 27)/2
Let z = 485021 - 11155467/23. Find q, given that 116/23*q**2 - 40/23*q - 16/23 + 74/23*q**3 - z*q**5 - 28/23*q**4 = 0.
-2, -1/4, 1/2, 2
Let f(i) be the second derivative of -3/100*i**5 - 9/10*i**2 - 74*i + 0 + 1/10*i**3 + 3/20*i**4. Find y, given that f(y) = 0.
-1, 1, 3
Let d(q) be the third derivative of q**8/840 - q**7/525 - q**6/50 - 117*q**2 + 7. Let d(z) = 0. Calculate z.
-2, 0, 3
Let i(d) be the third derivative of d**4/4 - 11*d**3/3 + d**2. Let f be i(4). Factor 5*u - 9*u**f + 10*u**2 - 6*u**2.
-5*u*(u - 1)
Let u(y) be the first derivative of 22*y**5/85 + 53*y**4/34 + 134*y**3/51 + 19*y**2/17 - 12*y/17 - 208. Determine o so that u(o) = 0.
-3, -1, 2/11
Suppose 0 = -12*a + 3*a - 432. Let w = a - -50. Determine f, given that 0*f + 3/2*f**w + 1/4*f**3 + 0 - 1/4*f**4 = 0.
-2, 0, 3
Let l(k) be the second derivative of -12*k**2 - 9/2*k**3 + 4 + 17*k - 1/4*k**4. Determine z, given that l(z) = 0.
-8, -1
Suppose 266*c = 805 + 525. Let k(s) be the first derivative of -31 - 4/25*s**c + 1/10*s**4 + 1/15*s**6 + 0*s + 0*s**2 + 0*s**3. Factor k(n).
2*n**3*(n - 1)**2/5
Let h(g) = 7*g**2 + 84*g + 2. Let f be h(-12). Let 5*x**3 + 18 + 32*x**f - x**3 - 8*x - 68*x - 1 + 23 = 0. What is x?
-10, 1
Suppose 3*k + 0 = -48. Let r = 18 + k. Suppose -y**2 - 7*y - 2*y + r + 8*y = 0. Calculate y.
-2, 1
Let f(y) = -159*y - 184. Let l be f(-6). Suppose -757*q = -l*q + 52. Suppose 14/5*c**q - 38/5*c**3 + 6*c**2 - 2/5*c - 4/5 = 0. What is c?
-2/7, 1
Let a be (-11 + 9)*-1*(-3)/(-6). What is u in 6 + a + 3*u**2 - 8*u - 2*u**2 + 5 = 0?
2, 6
Let n(a) = 9*a**2 + 156*a + 3035. Let r(t) = 5*t**2 + 78*t + 1517. Suppose -s = -3*s, 3*s = w - 4. Let u(q) = w*n(q) - 7*r(q). What is c in u(c) = 0?
-39
Let d(y) = 128*y**2 - 1024*y. Let v(j) = 23*j**2 - 205*j. Let m(p) = 2*d(p) - 11*v(p). Suppose m(s) = 0. Calculate s.
-69, 0
Let m(d) be the first derivative of d**6/11 + 126*d**5/55 - 27*d**4/2 + 62*d**3/11 + 450*d**2/11 - 4625. Find a, given that m(a) = 0.
-25, -1, 0, 2, 3
Let n(i) = -2*i**3 - 510*i**2 - 1030*i - 530. Let m(u) = -3*u**3 - 510*u**2 - 1031*u - 534. Let j(v) = -8*m(v) + 10*n(v). Factor j(r).
4*(r - 257)*(r + 1)**2
Let k be 2 + -1 + -14 + 18 + -1. Suppose -k + 10 = 2*m. Factor 1 + 7/4*c + 1/2*c**2 - 1/4*c**m.
-(c - 4)*(c + 1)**2/4
Factor 20*u**2 + 0 - 75/4*u - 2*u**4 + 1/2*u**3 + 1/4*u**5.
u*(u - 5)**2*(u - 1)*(u + 3)/4
Suppose 5*v + 152 = 9*l, -20*v + 17*v = l - 24. Factor 1/3 + 7/6*g - 2/3*g**v.
-(g - 2)*(4*g + 1)/6
Let r(x) be the third derivative of -4/45*x**3 - 7/180*x**4 + 1/900*x**6 + 0*x - 1/225*x**5 + 2*x**2 - 26. Factor r(g).
2*(g - 4)*(g + 1)**2/15
Suppose 12*j + 51*j - 189 = 0. Let w(k) be the second derivative of 6/5*k**6 + 4*k**5 + 19/6*k**j + 0 + k**2 + 61/12*k**4 - 9*k. Solve w(m) = 0.
-1, -1/2, -2/9
Let a be 398/(-14)*(-35)/30. Let i be (-3)/(12/8)*(10 - 12). Find x, given that 49/6*x**i - a*x**2 - 35/3*x**3 - 46/3*x - 2 = 0.
-1, -2/7, 3
Solve -9*s**3 + 1735*s**2 + 540 + 1008 + 5336*s + 566*s**2 + 76*s = 0.
-2, -1/3, 258
Suppose 12*d - 378 - 330 = 0. Determine z, given that 1024 - 50*z - d*z + 4*z**2 - 36*z + 17*z = 0.
16
Let w = -6292 + 6294. Let p(s) be the third derivative of 0*s + 0*s**3 + 0*s**4 + 1/45*s**5 - 14*s**w + 1/180*s**6 + 0. Let p(k) = 0. What is k?
-2, 0
Factor -736037 + 83017 - 903069 - 3648*a - 2*a**2 + 312602 - 420001.
-2*(a + 912)**2
Suppose -9*z - 316 + 64 = -51*z. Let s(h) be the second derivative of 3/10*h**5 + 1/15*h**z + 0 - 3/2*h**4 + 0*h**2 - 28*h + 5/3*h**3. Factor s(q).
2*q*(q - 1)**2*(q + 5)
Let f(n) be the second derivative of -n**5/60 - 37*n**4/36 + 77*n**3/18 - 13*n**2/2 + 7239*n. Find b, given that f(b) = 0.
-39, 1
Factor -11*n + 30*n + 27*n**3 + 119*n**4 + 17*n - 245*n**4 - 60*n**2 + 123*n**4.
-3*n*(n - 6)*(n - 2)*(n - 1)
Find r such that -268/3*r - 5/3*r**2 + 36 = 0.
-54, 2/5
Let i(o) = -44*o - 166. Let h be i(11). Let j = 654 + h. Factor 5/2*m**3 + 0 + 2*m**2 + 1/2*m**j + 0*m.
m**2*(m + 1)*(m + 4)/2
Let h(z) be the second derivative of -15*z - 13/2*z**2 - 29/18*z**3 - 1/180*z**5 - 19/108*z**4 - 4. Factor h(v).
-(v + 3)**2*(v + 13)/9
Let g(f) be the first derivative of f**4/5 - 128*f**3/15 - 14*f**2 + 264*f/5 + 1489. Find h, given that g(h) = 0.
-2, 1, 33
Let v(x) be the first derivative of 121 + 0*x - 5/6*x**6 - 15/2*x**4 + 40/3*x**3 - 8*x**5 + 35/2*x**2. Determine p, given that v(p) = 0.
-7, -1, 0, 1
Suppose 12495 = 4*p + 5*t, 0*t = -2*p + t + 6237. Let k be (p/50)/(-12) + 1*6. Factor -k*z**4 - 42/5*z**2 + 8/5 - 4*z - 23/5*z**3.
-(z + 2)**3*(4*z - 1)/5
Let y(g) be the first derivative of 0*g + 61 + 11/28*g**4 + 19/7*g**3 + 5/7*g**2. Factor y(n).
n*(n + 5)*(11*n + 2)/7
Let v(n) be the first derivative of 3*n**5/10 - 95*n**4/8 + 187*n**3/18 - 31*n**2/12 - 722. Determine b, given that v(b) = 0.
0, 1/3, 31
Factor 2/7*t**3 - 2/7*t**4 + 8/7 + 22/7*t + 18/7*t**2.
-2*(t - 4)*(t + 1)**3/7
Let q(h) be the third derivative of 0 - 1/252*h**8 + 5*h - 8/45*h**6 + 0*h**4 + 0*h**3 - 20*h**2 + 2/45*h**7 + 4/15*h**5. Factor q(y).
-4*y**2*(y - 3)*(y - 2)**2/3
Let f = 247321 - 247313. Factor f + 1/3*y**2 - 25/3*y.
(y - 24)*(y - 1)/3
Suppose 764/3 - 386/3*v + 2/3*v**2 = 0. Calculate v.
2, 191
Let b(o) be the first derivative of -o**6/150 - o**5/100 + o**4/60 + o**3/30 - o + 47. Let f(p) be the first derivative of b(p). What is k in f(k) = 0?
-1, 0, 1
Suppose -32*v + 8 = -30*v. Suppose -10 = -v*k - k. Factor -b**3 - 19*b + 16*b + 6*b**k - 2*b**3.
-3*b*(b - 1)**2
Determine x so that -2/7*x**2 + 0 + 412/7*x = 0.
0, 206
Let p = 655 + -633. Suppose -p*l + 62 = 9*l. Let -3*w + 0 - 3/2*w**l = 0. Calculate w.
-2, 0
Let t(j) = -11*j**4 + 8*j**3 - 21*j**2 - 29*j + 11. Let y(k) = 2*k**4 + k**3 + 2*k + 1. Let f(b) = t(b) + 7*y(b). Factor f(i).
3*(i - 1)**2*(i + 1)*(i + 6)
Let j(v) be the second derivative of -v**4/102 - 35*v**3/51 + 114*v**2/17 + 3392*v. Solve j(w) = 0.
-38, 3
Suppose -13*j = -11*j. Let f(l) = -3*l**2 - 78*l + 84. Let y be f(-27). Factor -4/13*i**2 + 0*i - 6/13*i**y + 0*i**4 + j + 2/13*i**5.
2*i**2*(i - 2)*(i + 1)**2/13
Determine w so that 89*w**3 - 20*w**3 + 225 - 924*w - 516 + 1011 + 3*w**4 + 132*w**2 = 0.
-20, -6, 1, 2
Let m(b) be the first derivative of -2*b**3/27 + 92*b**2/9 - 182*b/9 + 2821. Determine n, given that m(n) = 0.
1, 91
Let z(m) be the first derivative of 0*m - 5/3*m**3 + 6 - 1/12*m**6 + 31/2*m**2 + 5/8*m**4 + 1/4*m**5. Let h(q) be the second derivative of z(q). Factor h(a).
-5*(a - 2)*(a + 1)*(2*a - 1)
Let v(x) be the third derivative of -1/1512*x**8 + 1/27*x**4 - 1/540*x**6 + 1/27*x**5 + 0*x - 8/27*x**3 + 2*x**2 + 2 - 4/945*x**7. Factor v(f).
-2*(f - 1)**2*(f + 2)**3/9
Let q be (2 + 6 + -12)*1*-1. Let p(m) = m**2 + 1. Let c be p(-2). Factor 3*o**4 + 7*o**4 - c*o**3 + 9*o**4 - q*o**4.
5*o**3*(3*o - 1)
Suppose -2*y + 2*v + 4 + 2 = 0, -3*v = 4*y - 5. Let -32*t**y - 27*t**2 - 24*t**2 + 79*t**2 + 52 - 48*t = 0. Calculate t.
-13, 1
Let i(n) be the first derivative of -n**4/6 - 5288*n**3/3 - 6990736*n**2 - 36967011968*n/3 + 3612. Determine a so that i(a) = 0.
-2644
Factor -13*l**2 + 17/2*l - 1/8*l**4 + 0 + 37/8*l**3.
-l*(l - 34)*(l - 2)*(l - 1)/8
Let y(i) = i**3 - 5*i**