 6925/7 - r. Factor 2/7*m**2 - p + 0*m.
2*(m - 1)*(m + 1)/7
Determine f, given that -501*f + 258*f - 1411*f + 220 + 46*f**2 - 16*f**2 = 0.
2/15, 55
Let c(j) be the first derivative of -6*j**5/35 + 45*j**4/7 - 506*j**3/7 + 180*j**2 - 168*j + 917. Factor c(s).
-6*(s - 14)**2*(s - 1)**2/7
Let u(m) be the first derivative of -338*m**3/9 + 598*m**2 - 3174*m - 1907. Factor u(y).
-2*(13*y - 69)**2/3
Let -64/9*h**4 + 2/9*h**5 + 0 - 20/3*h**2 + 0*h + 122/9*h**3 = 0. What is h?
0, 1, 30
Let z be 10/(-2) + (-3 - 0)/(-3). Let r(l) = -l**3 - 6*l**2 - 9*l + 1. Let s be r(z). Factor 21*m**3 + 47*m + 9*m**s + 6*m**2 + 24*m**4 - 47*m.
3*m**2*(m + 1)**2*(3*m + 2)
Let 252/5 + 28/5*u**2 + 2/5*u**3 - 282/5*u = 0. What is u?
-21, 1, 6
Let h(s) = -9*s**2 + 951*s + 3279. Let b(y) = -5*y**2 + 470*y + 1639. Let v(m) = -15*b(m) + 8*h(m). Factor v(q).
3*(q + 3)*(q + 183)
Factor 2572/7*y**2 + 4/7*y**3 - 2572/7 - 4/7*y.
4*(y - 1)*(y + 1)*(y + 643)/7
Determine z so that 14*z**5 - 8260*z**3 - 20603 + 480*z**4 + 50750*z**2 - 19*z**5 + 215625*z + 176853 - 120*z**4 = 0.
-2, -1, 25
Let t(i) be the first derivative of -i**4/42 + i**2/7 + 125*i + 170. Let l(y) be the first derivative of t(y). What is c in l(c) = 0?
-1, 1
Suppose -q + 5*q + 267 = -3*t, -2*t - 178 = -4*q. Let x = 112 + t. Suppose 13 - 3 + x + 3 + 24*k + 4*k**2 = 0. Calculate k.
-3
Let -13/3 + 9*z - 5*z**2 + 1/3*z**3 = 0. Calculate z.
1, 13
Find z such that 1/2*z**2 - 845/4*z - 423/4 = 0.
-1/2, 423
Let w = 16332/9607 - -108/739. Factor -w*x + 2/13*x**2 + 22/13.
2*(x - 11)*(x - 1)/13
Let h(z) be the third derivative of 19/132*z**4 - 16*z**2 + 14/11*z**3 - 1/15*z**5 - 9*z + 0 + 1/660*z**6. Let h(i) = 0. What is i?
-1, 2, 21
Let d(n) be the second derivative of -n**7/189 + 8*n**6/135 - n**5/6 - 10*n**4/27 + 76*n**3/27 - 16*n**2/3 + 486*n. Let d(u) = 0. Calculate u.
-2, 1, 2, 3, 4
Let a be 25 + -15*((-78)/18 + 4). Suppose -3*q = -3*x + 12, 3*x - 16 = -a*q + 35*q. Factor -1/2*k**3 - 9 - 21/2*k - 4*k**x.
-(k + 2)*(k + 3)**2/2
Let n = -1329773 + 1329776. Let -7/10*o**4 + 64/5*o + 4/5*o**n - 128/5 + 64/5*o**2 - 1/10*o**5 = 0. Calculate o.
-4, 1, 4
Let b(s) be the third derivative of s**8/560 - 17*s**7/350 + 3*s**6/20 + s**5/50 - 31*s**4/40 + 3*s**3/2 - 2561*s**2. Let b(o) = 0. What is o?
-1, 1, 15
Let q = -56 + 61. Suppose -q = h - 0*a + a, -2*h + 2*a = -10. Determine s, given that -4 - 5*s**2 + h*s**3 - 3*s**3 + 3*s**3 - s**3 - 8*s = 0.
-2, -1
Let z(n) = 3218*n**4 + 9652*n**3 + 33*n**2 + 9*n - 15. Let a(i) = i**4 - i**3 + i**2 + 3*i - 5. Let b(q) = 3*a(q) - z(q). Find x, given that b(x) = 0.
-3, -2/643, 0
Let j(y) be the third derivative of -y**7/210 - y**6/45 - y**5/30 - 55*y**3/6 + y**2 + 26*y. Let a(g) be the first derivative of j(g). What is k in a(k) = 0?
-1, 0
Let m(x) = -x**2 - 26*x - 164. Let f be m(-12). Factor h**f + 44 - 82 + h**2 + 21*h**2 - 24*h - 8*h**3 + 47.
(h - 3)**2*(h - 1)**2
Suppose 173098*f - 173289*f + 382 = 0. Factor 2/7*k**5 + 130/7*k - 4/7*k**3 - 92/7*k**f - 50/7 + 2*k**4.
2*(k - 1)**3*(k + 5)**2/7
Let s(o) be the third derivative of o**7/140 - 59*o**6/80 + 29*o**5/20 - 123*o**2. Determine h so that s(h) = 0.
0, 1, 58
Factor -285*k + 3675 - 5*k**3 + 604*k + 5*k**2 + 486*k.
-5*(k - 15)*(k + 7)**2
Let h(p) be the second derivative of 3*p**5/20 - 2*p**4/3 - 8*p**3/3 + p - 72. Let h(l) = 0. What is l?
-4/3, 0, 4
Let d(s) = 3*s**3 - 14*s**2 - 65*s + 58. Let n(f) = 12*f**3 - 61*f**2 - 261*f + 238. Let k(r) = -26*d(r) + 6*n(r). Let k(x) = 0. Calculate x.
-5, 2/3, 4
Let f(m) = -1075*m - 2*m**2 + 1074*m + 1 + m**2. Let o(r) = -r**4 - r**3 + 6*r**2 + 6*r - 6. Suppose -5*c + 0*c = 5. Let s(n) = c*o(n) - 6*f(n). Factor s(v).
v**3*(v + 1)
Let n(k) = k**3 + 9*k**2 - 12*k - 14. Let a = 39 - 49. Let j be n(a). Find i such that -21*i - 7*i + 100 - j*i + 4*i**2 - 6*i = 0.
5
Let s(t) be the second derivative of 4/3*t**5 - 2*t - 19/90*t**6 + 0*t**2 + 25/9*t**4 + 0*t**3 + 1/126*t**7 - 21. What is z in s(z) = 0?
-1, 0, 10
Let g(k) be the second derivative of 47*k**5/60 - 17*k**4 + 577*k**3/18 - 2*k**2 - 27*k - 10. Suppose g(o) = 0. What is o?
1/47, 1, 12
Let m be 1148/492*18/7. Let t(w) be the third derivative of 1/8*w**4 + 1/120*w**m + 1/6*w**3 + 0 + 1/20*w**5 + 0*w + 19*w**2. Suppose t(a) = 0. What is a?
-1
Suppose 93*l + 22 = 95*l - h, -5*l = -2*h - 56. Suppose -2844 = -l*x - 2844. Let -3/8*b**4 + 0*b**2 + x*b + 0 + 3/8*b**3 = 0. What is b?
0, 1
Let q be (-608)/76 + 53/6. Let l(r) be the first derivative of q*r**2 + 0*r + 1/9*r**3 + 17. Factor l(h).
h*(h + 5)/3
Let h(f) = -6*f**3 - 204*f**2 - 4792*f - 31996. Let q(t) = -5*t**3 - 198*t**2 - 4794*t - 31997. Let u(x) = -3*h(x) + 4*q(x). Factor u(p).
-2*(p + 10)*(p + 40)**2
Determine y, given that 7530/17*y**3 + 0 + 250/17*y**5 + 100/17*y - 1502/17*y**2 - 12650/17*y**4 = 0.
0, 1/5, 50
Let -19 - 11 - 151*v**2 + v**3 + 48 - 18 = 0. Calculate v.
0, 151
Let t(v) = -9*v - 67. Let j be t(-8). Let h(r) be the second derivative of 1/15*r**6 + 0*r**2 + 0 + 0*r**3 + 0*r**5 + j*r + 0*r**4. Factor h(p).
2*p**4
Suppose -2*c - 3*v = -46, -5*c + 80 = 16*v - 11*v. Factor 6/7*y**3 + 6/7*y**4 - 24/7*y + 48/7 - 36/7*y**c.
6*(y - 2)*(y - 1)*(y + 2)**2/7
Suppose 5*w + 4*k = -21, -3310 = -5*w + 2*k - 3277. Determine x so that 8/9*x - 4/9*x**2 + 16/9 - 2/9*x**w = 0.
-2, 2
Let c(u) be the first derivative of u**4/34 - 39*u**2/17 + 140*u/17 + 1849. Factor c(k).
2*(k - 5)*(k - 2)*(k + 7)/17
Let u(f) be the first derivative of 841*f**6/30 - 6844*f**5/25 + 3597*f**4/5 - 1888*f**3/15 + 32*f**2/5 - 1456. Factor u(n).
n*(n - 4)**2*(29*n - 2)**2/5
Let k(a) be the second derivative of -1/36*a**4 + 0*a**2 - 11 - 11/18*a**3 + 2*a. Determine q, given that k(q) = 0.
-11, 0
Let o(x) = 332*x**2 + 1633*x + 1634. Let r(b) = 111*b**2 - b - 1. Let p(d) = o(d) - 3*r(d). What is h in p(h) = 0?
-1, 1637
Let z(r) be the second derivative of -r**10/7560 + r**8/1680 + 4*r**4 - 3*r + 5. Let d(c) be the third derivative of z(c). Determine w, given that d(w) = 0.
-1, 0, 1
Let q(k) be the first derivative of -75*k**4/8 - 45*k**3/2 - 18*k**2 - 6*k + 3076. Factor q(h).
-3*(h + 1)*(5*h + 2)**2/2
Let t = 27/677 - -2249/11509. Suppose 0 + t*l + 2/17*l**2 = 0. Calculate l.
-2, 0
Factor 279/5*k - 3/5*k**3 + 129/5*k**2 - 81.
-3*(k - 45)*(k - 1)*(k + 3)/5
Factor 167/2 - 167/2*p**2 + 1/2*p**3 - 1/2*p.
(p - 167)*(p - 1)*(p + 1)/2
Let j(f) = -2*f**4 - 65*f**3 + 100*f**2 + f - 34. Let u(r) = 6*r**4 + 195*r**3 - 299*r**2 - 4*r + 102. Let y(z) = -7*j(z) - 2*u(z). Factor y(c).
(c - 1)**2*(c + 34)*(2*c + 1)
Suppose 15*j + 9 = 18*j - 3*a, 5*j = -5*a + 45. Factor -j*r**3 - r**4 + 4034 - 4034 - 5*r**2.
-r**2*(r + 1)*(r + 5)
Suppose 11*i + 18 = 9*i. Let n = -6 - i. Find t, given that -3 - n*t**2 + 1 + 5 = 0.
-1, 1
Let f(h) be the third derivative of -h**6/80 - 231*h**5/40 - 12987*h**4/16 + 41067*h**3/4 - 3105*h**2. Factor f(u).
-3*(u - 3)*(u + 117)**2/2
Let 177*c**3 - 496264235 - 6945*c**2 - 172*c**3 + 2908592*c - 1038700*c + 1345643*c = 0. Calculate c.
463
Let x(t) be the first derivative of t**6/40 - t**5 - 45*t**2 - 2. Let h(a) be the second derivative of x(a). Factor h(i).
3*i**2*(i - 20)
Suppose 6*c = -3*k + 24, c - 5*k + 1390 = 1383. Factor -48/5*x + 18/5*x**2 + 32/5 - 2/5*x**c.
-2*(x - 4)**2*(x - 1)/5
Suppose -674/11*i**3 + 224/11*i**4 + 2/11 - 230/11*i + 678/11*i**2 = 0. What is i?
1/112, 1
Let j(k) = k**2 - 170*k - 1575. Let w(v) = -2*v**2 + 170*v + 1610. Let o(i) = -7*j(i) - 6*w(i). Suppose o(f) = 0. Calculate f.
-21, -13
Let m(s) be the third derivative of 8*s**7/35 - 19*s**6/5 + 93*s**5/4 - 225*s**4/4 - 153*s**2. Factor m(c).
3*c*(c - 2)*(4*c - 15)**2
Let p(d) be the third derivative of -d**7/3360 + d**6/288 + 11*d**3/3 - 5*d**2 - 12. Let v(r) be the first derivative of p(r). Let v(t) = 0. Calculate t.
0, 5
Let s = -23319/133 + 3353/19. Factor 26/7*g**2 + s + 32/7*g + 6/7*g**3.
2*(g + 2)**2*(3*g + 1)/7
Solve 1/5*t**3 - 154/5 - 14/5*t**2 - 169/5*t = 0 for t.
-7, -1, 22
Let q(m) be the second derivative of -1 - 1/6*m**4 - 140/3*m**3 - 24*m - 4900*m**2. Factor q(z).
-2*(z + 70)**2
Factor 1930 + 4*p + 20*p**3 - 2011*p**2 + 81*p**2 - 24*p**3 + 3*p**3 - 3*p.
-(p - 1)*(p + 1)*(p + 1930)
Solve -21 + 5*b**3 - 20 - 75*b**2 - 24 + 135*b = 0.
1, 13
Let f(t) = -52*t**2 + 24881*t - 7011. Let o(y) = 17*y**2 - 8293*y + 2334. Let c(m) = -4*f(m)