+ 604 = 67*d + 68*d. Suppose 4*u**d + 16/7 - 4*u**3 + 32/7*u + 12/7*u**5 - 60/7*u**2 = 0. What is u?
-2, -1/3, 1
Let z(t) be the first derivative of t**4/12 - 77*t**3/9 - 157*t**2/6 - 79*t/3 + 1666. Let z(x) = 0. What is x?
-1, 79
Let x(r) be the first derivative of -5*r**3/3 - 215*r**2/2 + 1470*r - 1422. Factor x(n).
-5*(n - 6)*(n + 49)
Find t such that 1891*t**3 - 4112 + 4128*t - 918*t**2 - 126*t**2 - 1887*t**3 = 0.
2, 257
Let b(w) = 46*w**2 + 9649*w + 1987805. Let g(h) = 8*h**2 + 1607*h + 331301. Let y(c) = -6*b(c) + 34*g(c). What is i in y(i) = 0?
-407
Let q(t) = 11*t**3 - 20*t**2 - 44*t + 5. Let z(d) = -13*d**3 + 27*d**2 + 42*d - 6. Let w(r) = -6*q(r) - 5*z(r). Factor w(l).
-l*(l - 3)*(l + 18)
Let d(c) be the third derivative of -c**6/120 + 12*c**5/5 - 455*c**4/8 + 1675*c**3/3 + 7021*c**2. Factor d(l).
-(l - 134)*(l - 5)**2
Let s(o) be the second derivative of o**5/10 + 224*o**4/45 - 4*o**3/3 + 10737*o. Suppose s(p) = 0. What is p?
-30, 0, 2/15
Let i = -18 - -32. Suppose -4*v + 0 = 5*g + 6, -3*v - i = -g. Factor -12*r**2 + 8*r**g - 36 + 9*r + 15*r.
-4*(r - 3)**2
Let k = -2463637/2 - -1232106. Find h such that 49/2*h**3 + 0 - 625/2*h - 1/2*h**4 - k*h**2 = 0.
-1, 0, 25
Suppose 9*q - 10 - 8 = 0. Suppose 4*n - m - m = -q, -m + 1 = 0. Find r such that 2 - 10*r + 2*r**3 + 0*r**2 + n*r + 4 + 2*r**2 = 0.
-3, 1
Let z(c) be the first derivative of c**4/2 - 62*c**3/3 + 134*c**2 - 208*c - 958. Let z(w) = 0. Calculate w.
1, 4, 26
Let v(y) be the first derivative of y**3/9 - 33*y**2/2 - 100*y/3 + 72. Let v(m) = 0. What is m?
-1, 100
Factor 782*h**4 + 766*h**4 - 80*h**2 + 778*h**4 + 35*h**3 - 2311*h**4 - 100*h.
5*h*(h - 2)*(h + 1)*(3*h + 10)
Let b(p) be the second derivative of -35*p**4/26 + 2*p**3/39 - 14*p - 24. Factor b(t).
-2*t*(105*t - 2)/13
Let h = 506/533 - 14/533. Suppose -16 = -10*o + 14. Suppose -h*t + 18/13*t**4 - 2/13 - 16/13*t**2 + 12/13*t**o = 0. What is t?
-1, -1/3, 1
Let h(n) = 6*n**2 - 6*n - 26. Let x be 312/(-48)*(-8)/52. Let y(j) be the first derivative of j**3/3 - j**2/2 - j - 1. Let r(c) = x*h(c) - 2*y(c). Factor r(w).
4*(w - 3)*(w + 2)
Let d(h) be the second derivative of 3*h**5/100 + 2*h**4/5 + 13*h**3/10 + 9*h**2/5 + 628*h + 1. Factor d(u).
3*(u + 1)**2*(u + 6)/5
Let k(h) be the second derivative of h**8/840 + h**7/175 + h**6/150 + 10*h**2 + 15*h - 2. Let g(x) be the first derivative of k(x). Factor g(c).
2*c**3*(c + 1)*(c + 2)/5
Let n(r) be the third derivative of r**5/150 + 276*r**4/5 + 914112*r**3/5 + 4839*r**2. Find z, given that n(z) = 0.
-1656
Let m(a) be the third derivative of a**7/630 + a**6/12 + 3*a**4 + 3*a**2 - 6*a. Let x(k) be the second derivative of m(k). What is d in x(d) = 0?
-15, 0
Let a(r) be the first derivative of 3*r**4/8 - 849*r**3 + 720801*r**2 - 271982244*r + 2346. What is o in a(o) = 0?
566
Let l be -4 - (3 + -13 + 4). Let f(w) be the third derivative of w**l + 0 + 0*w - 1/105*w**7 + 1/336*w**8 + 0*w**5 + 0*w**4 + 1/120*w**6 + 0*w**3. Factor f(r).
r**3*(r - 1)**2
Let x = 6308 + -6305. Let r(t) be the third derivative of 9*t**2 + 0*t + 0*t**x + 0 + 1/240*t**5 + 1/48*t**4. Factor r(k).
k*(k + 2)/4
Suppose 0 = -52*x - 16096 + 16252. Factor 0 + 1/6*n**x + 1/6*n**2 - 1/3*n.
n*(n - 1)*(n + 2)/6
Suppose 0 = 19*x + 2 - 40. Factor l**2 + 1135 - 1135 - 9*l**2 + 2*l**2 + 4*l + x*l**4.
2*l*(l - 1)**2*(l + 2)
Let i(u) be the second derivative of u**7/210 - 13*u**6/150 - u**5/20 + 111*u**4/20 + 54*u**3/5 - 978*u. Factor i(a).
a*(a - 9)**2*(a + 1)*(a + 4)/5
Determine o, given that -24901 - o**2 - 24882 + 49810 - 3*o - 3*o = 0.
-9, 3
Let z be (26/12 - (-4)/(-24))/1. Factor -26*c**2 + 37*c**2 + 153 - 156*c - 8*c**z.
3*(c - 51)*(c - 1)
Let i = -2086547/14772 + 1/7386. Let o = -141 - i. Determine b, given that -5/4*b**3 - 7/4*b + 1/2 + 9/4*b**2 + o*b**4 = 0.
1, 2
Let j be (-4)/(1/(25/(-20))). Suppose -171 + 156 = -j*r. Let 1 + 14/5*z**r - 1/5*z**5 + 1/5*z**4 + 19/5*z + 26/5*z**2 = 0. What is z?
-1, 5
Let v(m) = -5*m**2 + 2*m + 24. Let c be v(3). Let r be ((-15)/(-63))/(c/(-54)). Determine k, given that -18/7*k - 12/7 - r*k**2 = 0.
-2, -1
Let x(a) = 19*a**3 - 46*a**2 - 71*a - 14. Let s = 214 + -210. Let r(b) = 21*b**3 - 48*b**2 - 72*b - 15. Let q(v) = s*r(v) - 3*x(v). Factor q(p).
3*(p - 3)*(3*p + 1)*(3*p + 2)
Suppose -4*s - 4*j + 392 = 0, 7*s = 3*s + 4*j + 424. Solve -91*k - 141*k - s*k - 184*k + 350*k**2 - 120 - 45*k**3 + 58*k = 0 for k.
-2/9, 2, 6
Let l be (1 + -7 - -1) + 81. Factor 52*x + 34*x**2 + 68 - 6*x**2 - l.
4*(x + 2)*(7*x - 1)
Let a = -221 + 221. Suppose a = -5*p - b + 1, 11*b - 5 = p + 6*b. Determine g, given that -3/2*g**4 + 0*g**2 + p*g + 3/2*g**3 + 0 = 0.
0, 1
Suppose -h + 6208 = 3*u - 2*h, 4*h = 2*u - 4152. Let 2888*l - 15*l**4 - u*l**2 - 2704 - 21*l**4 + 456*l**3 + 1064*l = 0. What is l?
2, 13/3
Determine v so that 2/7*v**2 - 186/7 + 184/7*v = 0.
-93, 1
Let o(r) be the first derivative of -2*r**6 - 576*r**5/5 + 1185*r**4/4 - 249*r**3 + 75*r**2 + 750. Solve o(d) = 0.
-50, 0, 1/2, 1
Let g(a) = -6*a**3 - 162*a**2 - 1386*a - 3647. Let s(k) = k**3 + 27*k**2 + 231*k + 608. Let l(h) = 6*g(h) + 34*s(h). Determine o, given that l(o) = 0.
-11, -5
Let g(r) = -9*r**2 + 455*r - 974. Let x(o) = 75*o**2 - 3633*o + 7791. Let u(l) = -33*g(l) - 4*x(l). Solve u(n) = 0.
-163, 2
Let s(k) be the second derivative of -k**7/21 + 7*k**6/15 - k**5 + 3720*k. Factor s(c).
-2*c**3*(c - 5)*(c - 2)
Let k(b) be the third derivative of b**6/120 - 241*b**5/30 - b**4/24 + 241*b**3/3 - 5035*b**2. Factor k(g).
(g - 482)*(g - 1)*(g + 1)
Let d(i) = 4*i**5 + 8*i**4 + 31*i**3 - 9*i**2 - 9*i + 9. Let a(u) = -u**5 - u**3 + u**2 - 1. Let v(r) = -18*a(r) - 2*d(r). Let v(p) = 0. Calculate p.
-1, 0, 3/5, 3
Let u(t) be the second derivative of t**6/50 - 3*t**5/100 - t**4/4 - 3*t**3/10 - 9322*t. Determine h, given that u(h) = 0.
-1, 0, 3
Let i(f) = 3*f**3 + 0*f**3 - 5 + f**2 + 7*f**3 - 80*f - 13*f**3 - 52*f**2. Let z(x) = 2*x**3 + 26*x**2 + 40*x + 2. Let m(d) = -2*i(d) - 5*z(d). Factor m(n).
-4*n*(n + 2)*(n + 5)
Let i be (-41 + 45)*14/(-8) + 11. Suppose -i*q + 2*w + 24 - 18 = 0, -11 = -3*q - 5*w. Solve 2/3*k**3 + 1/3 + 4/3*k + 5/3*k**q = 0.
-1, -1/2
Let k(r) be the third derivative of -r**6/30 - 413*r**5/15 - 605*r**2 - 1. Determine c, given that k(c) = 0.
-413, 0
Let u(z) be the second derivative of z**7/14 + 16*z**6/5 + 543*z**5/20 + 75*z**4/2 + 6963*z. Let u(c) = 0. What is c?
-25, -6, -1, 0
Let a(z) be the first derivative of -5*z**3/3 - 10*z**2 + 585*z + 5278. Suppose a(t) = 0. Calculate t.
-13, 9
Let g = 6340 + -6337. Suppose -4*a + 6 = -2. Factor -1/9*k - 2/9 - 20/9*k**g + 23/9*k**a.
-(k - 1)*(4*k + 1)*(5*k - 2)/9
Let i(s) be the second derivative of -s**5/4 + 65*s**4/12 - 235*s**3/6 + 175*s**2/2 + 1565*s. Let i(u) = 0. What is u?
1, 5, 7
Let v = 1 - 7. Let k = v - -8. Factor -5*b**k + b + 11*b**2 - 8*b**2.
-b*(2*b - 1)
Suppose a - 15*l + 14*l = 10, 0 = a + 2*l - 22. Find c, given that -16*c**2 + 4*c**3 - a*c - 5*c**3 - c**3 = 0.
-7, -1, 0
Let h = -261 + 261. Suppose 2*o - 2*i = 14, h = -3*o - 4*i + 5 - 12. Factor 0*c**4 - 2/13*c + 4/13*c**o + 0 + 0*c**2 - 2/13*c**5.
-2*c*(c - 1)**2*(c + 1)**2/13
Let o(t) be the first derivative of 0*t**3 - 1/66*t**4 + 0*t - 1/330*t**5 + 14 - 2*t**2. Let u(p) be the second derivative of o(p). Factor u(g).
-2*g*(g + 2)/11
Solve 3048/7*b - 1161288/7 - 2/7*b**2 = 0.
762
Let t(z) be the first derivative of z**6/21 - 4*z**5/35 - z**4 + 16*z**3/7 + 45*z**2/7 - 108*z/7 - 1081. Let t(v) = 0. What is v?
-3, -2, 1, 3
Let f(l) be the second derivative of 9*l + 0*l**2 - 1/4*l**4 - 9/2*l**3 + 1. Let f(y) = 0. Calculate y.
-9, 0
Factor -13*n - 4*n**2 - 69 + 4*n**2 - 96 - 5*n + 3*n**2.
3*(n - 11)*(n + 5)
Suppose 5*p + j = -4*j + 120, 5*p - j = 102. Factor p*y**3 + 12*y - 120*y**2 + 93*y**2 + 75*y**2.
3*y*(y + 2)*(7*y + 2)
Suppose -19*r + 160 = -14*r. Factor -3*m**3 + 16*m**4 - r*m + 143*m**3 - 10044*m**2 + 10136*m**2.
4*m*(m + 1)*(m + 8)*(4*m - 1)
Factor 21952 + 224*s + 4/7*s**2.
4*(s + 196)**2/7
Factor 0 + 513/2*b - 3/2*b**2.
-3*b*(b - 171)/2
Factor -83 + 5 + 24*p**3 - 25*p**3 - 22*p**2 + 101*p + 0*p**3.
-(p - 3)*(p - 1)*(p + 26)
Let h(f) = -33*f**2 - 436*f + 884. Let l(g) = -26*g**2 - 438*g + 884. Let v(q) = -4*h(q) + 5*l(q). Factor v(s).
2*(s - 221)*(s - 2)
Suppose -11*y + 14*y = 18. What is a in y*a**3 - 14*a**3 + 38*a*