2 - 1/3 = 0. What is s?
-1/4
Let u(z) be the first derivative of -2/15*z**3 - 329 - 1/5*z**2 + 1/10*z**4 + 2/5*z. Factor u(a).
2*(a - 1)**2*(a + 1)/5
Suppose g - 3 = 0, -8*t + 5*g - 11 = -6*t. Factor 160*y**3 - 159*y**3 - 3*y**t + 2*y**2.
y**2*(y - 1)
Let c = 422 - -1557. Suppose -130 + c - 987*h**3 - 1762*h**2 - h**5 + 1935*h - 87*h**4 - 947*h**3 = 0. What is h?
-43, -1, 1
Let y(f) be the first derivative of 9*f**8/560 - f**7/35 - f**6/120 + 61*f**3 - 187. Let w(s) be the third derivative of y(s). Determine q so that w(q) = 0.
-1/9, 0, 1
Suppose 0 = -32*d - 23921 - 1679. Let q = -3996/5 - d. Let 32/5*t**4 + 42/5*t**3 + 8/5*t**5 + q*t + 22/5*t**2 + 0 = 0. Calculate t.
-2, -1, -1/2, 0
Let a = 686841/280 - 2453. Let l(d) be the third derivative of -a*d**6 + 0 + 5/56*d**4 + 2*d**2 + 3/140*d**5 + 1/7*d**3 - 1/490*d**7 + 0*d. Factor l(s).
-3*(s - 2)*(s + 1)**3/7
Let l be (285/1482)/(200/520). Factor l*y**4 + 1/2*y**5 + 0 + 0*y - y**3 + 0*y**2.
y**3*(y - 1)*(y + 2)/2
Let m be (-3)/(-4) - 2 - 77766/(-312). Let x = -2727/11 + m. Find k, given that -1/11*k**2 + 2/11 - x*k = 0.
-2, 1
Suppose 6*x - 42 = -0*x. Let s be 1/(5/x) + (-66)/(-110). Factor -r**5 - r + 4*r**2 + 2 - 8*r**s + 0*r + 2*r**4 + 2*r**3.
-(r - 2)*(r - 1)**2*(r + 1)**2
Let w(p) be the second derivative of -p**4/108 - 31*p**3/54 + 11*p**2/3 - 115*p - 3. Factor w(l).
-(l - 2)*(l + 33)/9
Let n(y) be the first derivative of -y**6/120 + y**5/4 - 21*y**4/8 + y**3 - 9*y**2/2 + 63. Let v(j) be the third derivative of n(j). Factor v(h).
-3*(h - 7)*(h - 3)
Let c = 232905 - 465807/2. Factor -15/8*m - 3/4*m**2 - 3/4 + c*m**3 + 3/2*m**4 + 3/8*m**5.
3*(m - 1)*(m + 1)**3*(m + 2)/8
Let l(w) be the first derivative of 3*w**5/100 + w**4/10 - 3*w**3/10 - 280*w - 84. Let i(h) be the first derivative of l(h). Determine x so that i(x) = 0.
-3, 0, 1
Factor -12*b**2 - 121*b + 105*b + 4*b**3 - 20*b**2 + 86 + 42.
4*(b - 8)*(b - 2)*(b + 2)
Suppose -62*s + 54*s = -24. Suppose 21 = s*r + 3*j, -r = 2*j - 6*j + 18. Determine d, given that 0 - 2/5*d + 2/5*d**4 - 6/5*d**3 + 6/5*d**r = 0.
0, 1
Let i(u) be the first derivative of -150 - 4/39*u**6 + 12/13*u**3 + 54/65*u**5 + 8/13*u**2 - 49/26*u**4 + 0*u. Determine p so that i(p) = 0.
-1/4, 0, 1, 2, 4
Let s = -851 - -854. Let n(h) = -95*h + 287. Let a be n(s). What is g in 0*g - 6 + 2/3*g**a = 0?
-3, 3
Let 95/4*t**2 - 5/4*t + 0 + 105/4*t**4 + 205/4*t**3 = 0. What is t?
-1, 0, 1/21
Let 0*v**2 - 3*v**2 + 375*v + 288*v - 864*v - 540 + 288*v = 0. What is v?
9, 20
Let z(r) be the first derivative of -61/6*r**2 + 14/3*r - r**3 + 67. Factor z(t).
-(t + 7)*(9*t - 2)/3
Let t(w) be the first derivative of -24 + 60*w**3 + 63*w**5 + 12*w**2 + 27/2*w**6 + 195/2*w**4 + 0*w. Suppose t(u) = 0. Calculate u.
-2, -1, -2/3, -2/9, 0
Suppose -5*c - 20 = -10*c - 4*x, 0 = -3*c - x + 12. Solve -2*l**4 - 32*l**3 - 2*l**5 + 7*l**c + 15*l**4 = 0 for l.
0, 2, 8
Let u(h) be the first derivative of h**5/5 + 10*h**4/3 + 34*h**3/3 + 16*h**2 + 55*h + 72. Let y(s) be the first derivative of u(s). Factor y(r).
4*(r + 1)**2*(r + 8)
Determine g, given that 14*g**2 + 94 - 1/3*g**3 + 229/3*g = 0.
-3, -2, 47
Let o(p) be the second derivative of p**7/105 - p**5/10 + p**4/6 + 6*p**2 + 8*p + 3. Let z(u) be the first derivative of o(u). Solve z(s) = 0.
-2, 0, 1
Find d, given that -35*d**3 - 32 - 961*d - 548*d**2 + 143*d**3 + 1433*d = 0.
2/27, 1, 4
Let l(j) be the first derivative of 3*j**5/20 - 81*j**4/16 + 37*j**3/2 - 18*j**2 - 518. Factor l(v).
3*v*(v - 24)*(v - 2)*(v - 1)/4
Let w(o) = -2*o**2 - 57*o + 43. Let v be w(-29). Suppose v*l**2 + 19*l**2 + 10*l**3 - 139 + 72*l + 31 - 7*l**3 = 0. What is l?
-6, 1
Find d, given that -113*d + 15*d**5 - 7*d - 333*d**3 - 20*d**2 + 503*d**3 - 95*d**4 = 0.
-2/3, 0, 2, 3
Factor -43668*w**3 + 18*w**2 + 20*w + 20*w + 43670*w**3.
2*w*(w + 4)*(w + 5)
Factor 122 + 1/4*y**2 + 123/2*y.
(y + 2)*(y + 244)/4
Let f(z) be the first derivative of 3*z**7/140 + 5*z**6/12 - 53*z**5/60 + 3*z**4/4 + 11*z**3/3 + 161. Let j(s) be the third derivative of f(s). Factor j(p).
2*(p + 9)*(3*p - 1)**2
Suppose 4*q - 429 = 3*q. Let l(y) = -429*y - y**2 + 1 + q*y. Let z(k) = -6*k**2 - 14*k - 44. Let u(a) = 10*l(a) - 2*z(a). Suppose u(t) = 0. Calculate t.
-7
Suppose -14*x + 3*x + 110 = 0. Let m be x/4*(-68)/(-5). Determine h so that -50 + m*h**2 - 15*h**2 - 21*h**2 - 20*h = 0.
-5
Let q(t) be the first derivative of t**4/4 + 2349*t**3 + 16553403*t**2/2 + 12961314549*t - 12861. Suppose q(g) = 0. What is g?
-2349
Suppose 84*h - 86*h = -38. Let l = h - 11. Factor 43*u**2 + 52*u - l*u**2 - 16 + 51*u**2 + 18*u**3.
2*(u + 1)*(u + 4)*(9*u - 2)
Let y(r) be the first derivative of -r**5/10 - 8*r**4 + r**3/2 + 97*r**2/2 + 64*r - 5209. Solve y(l) = 0.
-64, -1, 2
Let h = -356 + 358. Factor -y + 4*y - y**h + 11*y - 4 - 9*y.
-(y - 4)*(y - 1)
Let r(l) be the second derivative of -13*l**7/28 + 73*l**6/2 - 30873*l**5/40 + 419*l**4/4 + 2576*l**3 - 1176*l**2 - 14*l - 16. Solve r(n) = 0 for n.
-1, 2/13, 1, 28
Let s(w) be the third derivative of w**5/5 - 67*w**4/8 + 24*w**3 + 198*w**2. Solve s(c) = 0.
3/4, 16
Let t(x) be the third derivative of x**7/735 + 23*x**6/210 - 19*x**5/42 + 4*x**4/7 + 1443*x**2. Solve t(u) = 0.
-48, 0, 1
Let o = 328 + -323. Let y be (2/(-28))/((-205)/40 + o). Factor 12/7 + y*z**2 + 16/7*z.
4*(z + 1)*(z + 3)/7
Let m(i) be the second derivative of i**6/120 - 7*i**5/60 + 5*i**4/12 + 39*i**2 - 12*i. Let o(t) be the first derivative of m(t). Factor o(a).
a*(a - 5)*(a - 2)
Let p(r) be the first derivative of 32/5*r - 8/5*r**2 + 35 + 2/15*r**3. Factor p(i).
2*(i - 4)**2/5
Let s(k) be the first derivative of -k**6/13 - 74*k**5/65 + 119*k**4/26 - 46*k**3/39 - 116*k**2/13 + 120*k/13 + 723. Determine c, given that s(c) = 0.
-15, -1, 2/3, 1, 2
Suppose 6*s - 4*s - 150 = 0. Let x = s + -72. Factor 188*g**4 - 190*g**4 + 2*g**x + 0*g**3.
-2*g**3*(g - 1)
Let z(i) be the third derivative of 1/3*i**5 - 10/3*i**4 - 1/42*i**7 + 0*i**3 + 72*i**2 + 0 + 1/6*i**6 + 0*i. Factor z(b).
-5*b*(b - 4)*(b - 2)*(b + 2)
Suppose -8*x = -4*l - 20, -x - 611 = -2*l - 612. Suppose 0*g - 4*g**x + 0*g**4 + 16/3*g**5 + 0 + 4/3*g**2 = 0. Calculate g.
-1, 0, 1/2
Let p be -2 - 8 - (-8)/(-1). Let z be 342/264 + p/24. Factor 4/11 + 2/11*b**2 - z*b.
2*(b - 2)*(b - 1)/11
Let y(n) = -89*n - 10. Let l be y(-2). Let h be (12/8)/(3 + (-495)/l). Factor -4*d**2 + 51*d - h*d - 39*d.
-4*d*(d + 4)
Let n = 2312/147 - 738/49. Factor i**2 + 1/3*i - 1/3*i**3 - 1/3*i**4 - n.
-(i - 1)**2*(i + 1)*(i + 2)/3
Let q be (0 + 4538)*((-406)/(-83538))/29. Let r = 4/459 + q. Suppose -r*m + 8/13 + 2/13*m**2 = 0. What is m?
1, 4
Find j, given that 3968/13*j - 2/13*j**2 - 1968128/13 = 0.
992
Let w = -4/13471 + -14440892/67355. Let t = -214 - w. Let 0 - t*h**4 + 0*h**2 - 2/5*h**3 + 0*h = 0. What is h?
-1, 0
Suppose 1309*c - 918 + 254 = 534 + 2729. Find m such that 13/6*m**c - 3*m + 1/6*m**5 - 1/2*m**2 + 7/6*m**4 + 0 = 0.
-3, -2, 0, 1
Suppose -58/7*v**4 + v**5 + 93/7*v**3 - 484/7*v + 120/7 + 202/7*v**2 = 0. Calculate v.
-2, 2/7, 2, 3, 5
Let y(d) = 4*d - 98. Let q be (4/6*-2)/((-4)/84). Let c be y(q). Determine h so that -10*h - 14*h + 9 - c*h**2 + 30*h**2 = 0.
3/4
Let i be ((-10)/42)/(9195/(-11034)). Find j such that -i*j**3 - 6/7*j - 8/7*j**2 + 0 = 0.
-3, -1, 0
Let i = 345 + -342. Factor -28*z**3 - 8*z**3 + 21*z**i - 2*z**2.
-z**2*(15*z + 2)
Let r(f) be the first derivative of 35*f**6/6 - 156*f**5 + 1585*f**4/4 + 380*f**3/3 - 810*f**2 + 400*f - 75. Suppose r(i) = 0. Calculate i.
-1, 2/7, 1, 2, 20
Let m be (-7 + (-1211)/(-105))/(22/55) + (1 - 11). Find x such that -m*x**2 + 1/3*x**4 + 0 - 2*x + 1/2*x**3 = 0.
-2, -3/2, 0, 2
Let j(w) be the third derivative of 11/75*w**5 - 13/60*w**4 - 1/840*w**8 + 1/5*w**3 + 0 - 3/50*w**6 + 1/75*w**7 + 22*w**2 + 2*w. Find h such that j(h) = 0.
1, 3
Let p(f) be the second derivative of -f**7/168 - f**6/24 + f**5/6 - 13*f**3/3 + f**2/2 - 113*f. Let b(l) be the second derivative of p(l). Factor b(c).
-5*c*(c - 1)*(c + 4)
Solve -1779*w + 401 + 448*w - 1214 - 179*w - 5*w**2 - 692 = 0.
-301, -1
Let a(l) be the first derivative of -l**6/27 + 16*l**5/45 + l**4/2 - 2268. Factor a(b).
-2*b**3*(b - 9)*(b + 1)/9
Let 684/17 + 30/17*z**3 + 2/17*z**4 - 158/17*z**2 - 78/17*z = 0. What is z?
-19, -2, 3
Let j be 22 + -26 - (-3 + -18). Suppose -105 = -5*q - 4*z, 5*z +