 - 5*m - 7 + b + m**3 + 16*m**2 = 0.
-3, -1, 2
Let y = 729 + -639. Let 37*t**2 + 35*t - 9*t**2 - y - 11*t**2 - 12*t**2 + 0*t**2 = 0. What is t?
-9, 2
Let k(m) be the third derivative of 0 - 1/5*m**3 - 21*m**2 - 1/30*m**4 - m - 1/450*m**5. Suppose k(u) = 0. What is u?
-3
Let c be 688/15 + 1/((-15)/(-2)). Find s such that -3*s**3 - 14*s**2 - 220*s - 284*s - c*s**2 + 588 - 21*s**2 = 0.
-14, 1
Suppose -z + 10 = d, 2 = 4*z - 4*d - 30. Suppose -7*g + 20 = 4*v - z*g, v = 4*g + 5. Find n such that 1/2*n**2 + 25/2 - v*n = 0.
5
Let k be ((-253)/88 - (4 - 7))*10. Let t(a) be the first derivative of k*a**4 + 0*a - 5*a**2 - 5/3*a**3 + 6. What is b in t(b) = 0?
-1, 0, 2
Let h(u) be the third derivative of 7/150*u**5 + 0*u**3 - 1/525*u**7 - 38*u**2 + 0 - 1/150*u**6 - 1/15*u**4 + 0*u. Factor h(p).
-2*p*(p - 1)**2*(p + 4)/5
Let r = 261 + -257. Let w be 2*1/(-4) - (-63)/18. Factor 0 + 5/2*z**5 - z + 9/2*z**w - 1/2*z**2 + 13/2*z**r.
z*(z + 1)**3*(5*z - 2)/2
Let z be ((-4 - -2) + (-215)/(-105))*23. Let q = z - -5/21. Find w such that q*w**4 + 0 + 0*w**2 - 1/3*w**5 + 0*w - 4/3*w**3 = 0.
0, 2
Factor 1369/2*s**2 + 333*s + 81/2.
(37*s + 9)**2/2
Let q be (-57 - -10) + 1100/22. Factor 2/11*y**q - 90/11 - 42/11*y + 2/11*y**2.
2*(y - 5)*(y + 3)**2/11
Suppose 73*o = 190*o - 1170. Let t(r) be the first derivative of 4*r**2 + 0*r - 4*r**3 - 1/5*r**5 + o + 3/2*r**4. Factor t(l).
-l*(l - 2)**3
Let r(u) be the third derivative of u**6/24 - 135*u**5/4 + 8585*u**4 - 102010*u**3/3 - 72*u**2 - 7. Factor r(j).
5*(j - 202)**2*(j - 1)
Let x(c) be the first derivative of -c**4/12 + 11*c**3/9 - 35*c**2/6 + 25*c/3 + 5661. Determine y so that x(y) = 0.
1, 5
Factor -3/5*c**2 - 84/5*c + 36.
-3*(c - 2)*(c + 30)/5
Factor 0 + 37/11*p**2 - 51/11*p - 1/11*p**4 + 15/11*p**3.
-p*(p - 17)*(p - 1)*(p + 3)/11
Let l(r) be the first derivative of r**6/360 + 19*r**5/60 - 13*r**4/8 + 44*r**3/3 + 66. Let m(f) be the third derivative of l(f). Factor m(z).
(z - 1)*(z + 39)
Let w(x) = -48*x**2 - 7524*x + 1893. Let t be w(-157). Suppose 3/8*a**3 - 15/2*a - 3/4*a**2 - t = 0. What is a?
-2, 6
Let x(i) = -6*i**3 - 5*i**2 + 5*i - 2. Let l be x(1). Let g be l/36 - (0 - (-230)/(-225)). Factor 3*y**2 + g + 1/5*y**4 - 7/5*y**3 - 13/5*y.
(y - 4)*(y - 1)**3/5
Let y(c) be the third derivative of c**5/390 - 31*c**4/156 + 50*c**3/13 - 78*c**2 + 27*c. Factor y(v).
2*(v - 25)*(v - 6)/13
Let t be (142/781)/(70/77). Let b(d) be the first derivative of t*d**3 + 9/25*d**5 - 3 + 0*d + 0*d**2 + 3/5*d**4. Factor b(p).
3*p**2*(p + 1)*(3*p + 1)/5
Let v(i) be the third derivative of i**8/84 + 8*i**7/105 - 13*i**6/15 + 44*i**5/15 - 31*i**4/6 + 16*i**3/3 + 206*i**2 + 3*i. Suppose v(q) = 0. Calculate q.
-8, 1
Let b(u) = -3*u**3 - 2*u**2 + u - 1. Let z(j) = 4*j**3 + 72*j**2 + 294*j + 306. Let r(l) = 4*b(l) + 2*z(l). Factor r(w).
-4*(w - 38)*(w + 2)**2
Let q(w) = 3*w**3 + 103*w**2 + 124*w + 4. Let f(x) = x**3 - x**2 + 4*x + 1. Let s(j) = -4*f(j) + q(j). Factor s(t).
-t*(t - 108)*(t + 1)
Let t be (-3268)/(-133) + -16 + 1 + -9. Solve -t*v + 4/7*v**3 - 16/7 + 16/7*v**2 = 0 for v.
-4, -1, 1
Let t(j) = 2*j**2 - j - 3. Let b be t(2). Suppose 4*x = 0, 3 + 37 = 2*v - b*x. Factor 9*c**3 + v*c**2 + 10*c**2 - 14*c**3 - 10*c**2.
-5*c**2*(c - 4)
Solve 152 + 200*t + 16*t**2 + 22*t + 55 - t**2 = 0.
-69/5, -1
Suppose -3069290 - 5315*a - 1957*a - 3022585 + 2090*a - 3*a**2 - 3368*a = 0. Calculate a.
-1425
Let n be 11/4 + (-237)/316. Let a be 7 - (15 - 6) - -1*2. Determine r, given that a*r - 2/9*r**2 + n = 0.
-3, 3
Let z(u) be the second derivative of -u**8/10080 + u**7/2520 - u**6/2160 - 47*u**3/6 + 8*u + 4. Let l(f) be the second derivative of z(f). Factor l(w).
-w**2*(w - 1)**2/6
Let r be -6 - -10 - 0/(2 + -3). Let p be (r/(-10))/(((-30)/80)/3). Find v such that -p*v**2 - 2/5 - 14/5*v + 32/5*v**3 = 0.
-1/4, 1
Suppose 2*m = -a - 0*m - 8, 0 = -a - 3*m - 13. Let z = -6/30733 - -61532/338063. Factor -2/11*v + 0 + z*v**a.
2*v*(v - 1)/11
Let f(p) = -11*p**2 - 6*p + 9. Let u(t) = 9*t**2 - 4. Let q(k) = k**2 + k - 1. Let a(l) = -5*q(l) - u(l). Let m(c) = 4*a(c) - 5*f(c). Factor m(j).
-(j - 9)*(j - 1)
Suppose 0 = 5*b + 2*d - 10, -2*b - d = -4*b + 4. Suppose c**b - 417*c - 411*c + 1024 + 892*c = 0. Calculate c.
-32
Suppose 0 = -53*w + 6865 - 6759. Factor 0 + 1/5*l**w + 16/5*l.
l*(l + 16)/5
Let z be (-2883)/(-620) + 18*5/(-40). Let w(v) be the second derivative of z*v**5 + 0 + 1/2*v**6 + 13/4*v**4 + 17*v + 0*v**2 + v**3. Factor w(b).
3*b*(b + 1)*(b + 2)*(5*b + 1)
Let f = -4235649/7 + 605103. Solve -2/7*p**3 + 58/7*p**2 - 24/7*p - f - 10/7*p**4 + 2/7*p**5 = 0 for p.
-2, -1, 2, 3
Let l = 18 - 21. Let n = l - -7. Factor 9*r**3 + 26*r**2 + 6 - 9*r - 25*r**2 - 22*r**2 + 15*r**n.
3*(r - 1)*(r + 1)**2*(5*r - 2)
Let s(d) = 10*d**2 - 3683*d - 3411508. Let h(x) = -x**2 - x + 9. Let p(n) = -33*h(n) - 3*s(n). Factor p(v).
3*(v + 1847)**2
Find i such that -8/3*i**4 + 56/3*i**2 - 2/3*i**5 + 0 - 40*i + 26/3*i**3 = 0.
-5, -3, 0, 2
Let u(l) be the second derivative of -1/30*l**5 + 1/9*l**3 + 58*l + 0 + 4/3*l**2 - 2/9*l**4. Factor u(v).
-2*(v - 1)*(v + 1)*(v + 4)/3
Let g(f) be the first derivative of f**3/3 - 415*f**2 + 172225*f - 1872. Factor g(x).
(x - 415)**2
Let v(i) be the first derivative of -1/9*i**3 - 216 + 11/6*i**2 - 10*i. Let v(t) = 0. Calculate t.
5, 6
Let f = 1803285/7 - 257611. Factor -f - 2/7*n**2 - 8/7*n.
-2*(n + 2)**2/7
Let n(l) be the third derivative of l**7/1890 + 5*l**6/108 + 88*l**5/135 + 28*l**4/9 - 10*l**2 - 74. Factor n(d).
d*(d + 4)**2*(d + 42)/9
Let t(u) be the third derivative of -u**7/840 + 7*u**6/240 - u**5/10 - 244*u**2 + 1. Suppose t(r) = 0. Calculate r.
0, 2, 12
Let f(u) be the third derivative of 2*u**7/945 - 2*u**6/135 + u**5/27 - u**4/27 - 625*u**2 - 2*u. Factor f(z).
4*z*(z - 2)*(z - 1)**2/9
Suppose -3*p = -7*p + 156. Let d be 396/1053 - 6/p. Factor 2/9*s**4 + 0*s + 0*s**3 - d*s**2 + 0.
2*s**2*(s - 1)*(s + 1)/9
Let z(a) be the first derivative of -1/2*a**4 + 0*a - 1/3*a**3 + 1/5*a**5 - 158 + a**2. What is d in z(d) = 0?
-1, 0, 1, 2
Let z(a) be the third derivative of -a**8/224 + 53*a**7/560 + 27*a**6/160 - 151*a**5/160 - 29*a**4/8 - 21*a**3/4 + 665*a**2. Find t such that z(t) = 0.
-1, -3/4, 2, 14
Let z(b) be the first derivative of 8*b - 10/3*b**2 - 14 - 4/9*b**3. Factor z(l).
-4*(l - 1)*(l + 6)/3
Let h(j) = -3*j**2 + 2*j + 2. Let k be h(3). Let u(i) = i**3 + 17*i**2 - 39*i - 17. Let b be u(k). Factor 3/2*g - 3/8*g**b - 3/2.
-3*(g - 2)**2/8
Let u(d) = -4*d**2 + 2551*d - 2552. Let g(x) = 4*x**2 - 2552*x + 2552. Let z(j) = 5*g(j) + 4*u(j). What is v in z(v) = 0?
1, 638
Let g be 2/(-2) + (-30)/(42/(-7)). Let -3*t**3 - 150*t**2 + g*t**3 - 2*t + 151*t**2 = 0. What is t?
-2, 0, 1
Suppose -2/5*x**3 + 34/5*x**2 - 1170 + 66*x = 0. Calculate x.
-13, 15
Let j(g) be the third derivative of -g**6/1260 + g**5/45 - 7*g**4/36 + 4*g**3/7 + 33*g**2 + 6. What is q in j(q) = 0?
1, 4, 9
Let l(q) = q**2 - 17*q - 102. Let a be l(17). Let d = a - -102. Factor d + 9/7*o**2 + 2/7*o + o**3.
o*(o + 1)*(7*o + 2)/7
Let m(b) be the third derivative of b**5/10 - b**4/2 + b**3/6 + 2*b**2 - 21*b. Let j(h) = -h**2 + 2*h. Let d(a) = -5*j(a) - m(a). Factor d(c).
-(c - 1)**2
Let a(h) be the second derivative of -2*h**3 + 213*h + 0*h**2 + 1/3*h**4 + 0. Determine m, given that a(m) = 0.
0, 3
Let f(t) be the third derivative of -t**8/4032 + 5*t**7/84 - 25*t**6/4 + 17*t**5/30 + 65*t**2. Let m(u) be the third derivative of f(u). Factor m(q).
-5*(q - 30)**2
Let q(d) be the third derivative of d + 0*d**4 + 1/70*d**7 + 0 + 0*d**3 - 7*d**2 + 2/5*d**5 + 9/40*d**6. Determine b so that q(b) = 0.
-8, -1, 0
Factor -1/7*t**5 - 10/7*t**4 - 39/7*t**3 - 74/7*t**2 - 24/7 - 68/7*t.
-(t + 1)*(t + 2)**3*(t + 3)/7
Let g(p) = -p**2 - 4*p + 15. Let x be g(3). Let n be 70/x*(-66)/55. Factor 2*z**3 + 3*z**3 + 20 - 17*z + 9*z**2 - n*z**2 - 3*z.
5*(z - 2)*(z - 1)*(z + 2)
Suppose -2*c - 13 = 3*v, -306*v + 311*v - 4 = -c. Solve 2/3*h + 0*h**2 - 1/3 + 1/3*h**4 - 2/3*h**v = 0.
-1, 1
Let s(o) be the second derivative of o**5/18 + 2*o**4/9 - 11*o**3/27 - 2*o**2/3 - 439*o. Factor s(v).
2*(v - 1)*(v + 3)*(5*v + 2)/9
Factor 272/5 - 2/5*j**2 - 54*j.
-2*(j - 1)*(j + 136)/5
Let y be (2 + -3 + -72)*(6 - 3). Let g = y - -3287/15. Determine p, given that -g*p**2 - 4/3 - 14/15*p = 0.
-5, -2
Let c = 11734/11 + -105518/99.