e p.
0, 1, 4
Factor -221*c**3 + 2*c**4 - 7*c**3 - 610 - 1274*c**2 - 422 - 2056*c - 20*c**3.
2*(c - 129)*(c + 1)*(c + 2)**2
Let q = -95 + 96. Suppose 4*v = 71 + q. Factor -6 - 6*l + 3*l**4 + 12*l + 18*l - 3 - v*l**2.
3*(l - 1)**3*(l + 3)
Let y(o) = -o**2 + 6*o - 2. Let g be y(4). What is a in -23*a**5 + 16*a**2 + 3*a**4 - 8*a - g*a**3 + 25*a**5 - 7*a**4 = 0?
-2, 0, 1, 2
Let n(i) = 3*i**2 - 9*i + 4. Let l be n(6). Let k = l + -56. Factor b + 4*b**5 + 0*b**5 + 24*b**3 + 3*b - k*b**2 - 14*b**2 - 16*b**4.
4*b*(b - 1)**4
Let j be 27/243 + (-52)/(-18) + -3. Let p(k) be the first derivative of -5/3*k**3 - 2 + k**4 + j*k + k**2 - 1/5*k**5. Solve p(s) = 0 for s.
0, 1, 2
Let t(p) = 15*p**3 - 77*p**2 - 276*p - 94. Let w(b) = 45*b**3 - 233*b**2 - 830*b - 283. Let u(v) = 17*t(v) - 6*w(v). Factor u(x).
-(x + 2)*(3*x - 25)*(5*x + 2)
Suppose 210 = 12*y - 6*y. Suppose -5*m + 5*x = -y, 5*m = x - 2*x + 11. Factor k + 7*k - k**3 - m*k**2 - 5 + k.
-(k - 1)**2*(k + 5)
Let w(y) be the second derivative of 0 - 1/35*y**5 - 4*y**3 - 36/7*y**2 - 43*y - 25/42*y**4. Suppose w(x) = 0. What is x?
-6, -1/2
Suppose -10*v + 34 = 7*v. Suppose -2*g + 1 + 6 = -m, v = -5*g - 4*m. Solve -135*u + 13*u**2 + 32*u**g - 5*u**3 - 14 + 149 = 0 for u.
3
Factor -2/5*k**3 + 0 + 0*k - 136/5*k**2.
-2*k**2*(k + 68)/5
Let i(a) = -38*a**3 - 606*a**2 + 874*a + 730. Let u(r) = 12*r**3 + 202*r**2 - 291*r - 247. Let j(o) = -3*i(o) - 10*u(o). Solve j(s) = 0.
-35, -2/3, 2
Let i be 14/3*5*24/140. Suppose h**3 + 3*h**2 - 35*h**4 + 5*h**2 - i*h**5 - 21*h**3 + 51*h**4 = 0. What is h?
0, 1, 2
Let o(t) be the third derivative of -5/28*t**4 + 0 + 1/245*t**7 + 51*t**2 + 0*t - 6/7*t**3 + 1/28*t**6 + 1/14*t**5. Determine k, given that o(k) = 0.
-3, -2, -1, 1
Let w(s) = 2*s**3 - 2*s**2 + 9*s + 13. Let k(p) be the first derivative of -p**4/4 + p**3/3 - 5*p**2/2 - 7*p - 27. Let z(x) = 11*k(x) + 6*w(x). Factor z(g).
(g - 1)**2*(g + 1)
Let g(r) be the third derivative of -r - 1/30*r**6 + 12*r**2 - 1012/3*r**4 + 0 - 3872/3*r**3 - 89/15*r**5. Suppose g(w) = 0. Calculate w.
-44, -1
Let y(s) be the second derivative of s**4/24 + 11*s**3 + 65*s**2 + 3013*s. Factor y(u).
(u + 2)*(u + 130)/2
Suppose 0 = 4*i - p - 25, -p + 2 = 3*i - 8. Let n(r) be the first derivative of 5*r + 0*r**3 - r**i - 2 - 5/2*r**4 + 5*r**2. Find c, given that n(c) = 0.
-1, 1
Let u(r) be the second derivative of -9*r + 1/6*r**3 + 0*r**2 + 0*r**4 + 19/360*r**6 + 0 - 1/60*r**5. Let p(j) be the second derivative of u(j). Factor p(c).
c*(19*c - 2)
Let h(k) be the second derivative of k**5/15 + 14*k**4/3 + 76*k**2 + k - 60. Let j(c) be the first derivative of h(c). Solve j(d) = 0.
-28, 0
Suppose 81*k + 2980 = 76*k. Let q = -594 - k. Let -2/7*f**q + 0*f + 0 + 2/21*f**3 = 0. What is f?
0, 3
Suppose 17*t - 26*t + 216 = 0. Let l(a) be the second derivative of 1/90*a**4 + 1/45*a**3 + 0 - 2/5*a**2 - t*a. Factor l(b).
2*(b - 2)*(b + 3)/15
Let w(l) be the second derivative of l**6/270 - l**5/90 - l**4/36 + 4*l**3/27 - 2*l**2/9 - 311*l. Factor w(r).
(r - 2)*(r - 1)**2*(r + 2)/9
Let z(k) be the third derivative of -2/225*k**5 - 1/180*k**4 + 3*k**2 + 2/15*k**3 + 1 - 1/900*k**6 + 0*k. Factor z(i).
-2*(i - 1)*(i + 2)*(i + 3)/15
Let i = -450160 - -900389/2. Factor -i*h**2 - 3 - 75/2*h.
-3*(h + 1)*(23*h + 2)/2
Determine n so that -2046*n**3 + 641*n**2 - 451*n - 4*n**5 - 413*n - 558*n**3 + 1955*n**2 - 37050*n**4 + 37926*n**4 = 0.
0, 1, 216
Let t(x) be the first derivative of x**7/168 + x**6/36 - 62*x**3/3 + 14. Let s(z) be the third derivative of t(z). Factor s(v).
5*v**2*(v + 2)
Let n be 3/2 + (-85)/34 - 74/(-70). Let x(c) be the third derivative of -1/30*c**6 - 18*c**2 - n*c**7 + 1/6*c**4 + 0 + 0*c + 1/5*c**5 + 0*c**3. Factor x(z).
-4*z*(z - 1)*(z + 1)*(3*z + 1)
Let u = -315873 + 315873. Factor 51/4*l**2 - 15/2*l**3 + u + 3/4*l**4 - 6*l.
3*l*(l - 8)*(l - 1)**2/4
Let k be ((-6)/(-4))/((-18)/24 - 0). Let i be (5 + -5)/(2*k/(-4)). What is l in -24*l**2 - 8 - l**2 + 44*l - 11*l**2 + i*l**2 = 0?
2/9, 1
Let z(t) be the second derivative of 200/3*t**3 + 182 - 12/5*t**6 + 2/21*t**7 + 60*t**4 + 0*t**2 - 2*t + 61/5*t**5. Suppose z(c) = 0. Calculate c.
-1, 0, 10
Let i be (6/7)/(-1 + (-75)/(-70)). Suppose -i*w - 21 = -19*w. Find f, given that 296*f + 52*f**2 - 40*f - 244*f**2 + 48*f**w - 4*f**4 = 0.
0, 4
Suppose -3*s + j = 4*j + 1167, 3*s + 1181 = 4*j. Let n = -391 - s. Factor 0 - 2/7*r**4 + n*r - 18/7*r**2 + 12/7*r**3.
-2*r**2*(r - 3)**2/7
Let d = 4108 + -16423/4. Let j(l) be the first derivative of -5/2*l + d*l**2 - 4 - 1/2*l**3 - 1/8*l**4. Factor j(y).
-(y - 1)**2*(y + 5)/2
Determine i so that 28084/3*i + 14161/3 + 4562*i**2 - 236/3*i**3 + 1/3*i**4 = 0.
-1, 119
Let k(f) be the third derivative of f**5/390 + 745*f**4/78 + 555025*f**3/39 - f**2 - 583*f. Factor k(c).
2*(c + 745)**2/13
Suppose 0 = c + c - 2*w - 38, -25 = -c - 5*w. Let 15*n**4 + 152*n**2 + 111*n**3 + 11*n - 20*n**2 + c*n + 5*n = 0. Calculate n.
-6, -1, -2/5, 0
Let i(z) = 2*z**2 + 7*z + 3*z + 3*z**2 - z**3 - 13 + 5. Let w(k) = -2*k**3 + 12*k**2 + 20*k - 16. Let r(y) = 7*i(y) - 3*w(y). Solve r(x) = 0 for x.
-4, 1, 2
Let d be (20223/8667)/(((-28)/18)/(-2)). Factor 1/2*x**d - 2*x**2 + 3 + 1/2*x.
(x - 3)*(x - 2)*(x + 1)/2
Let i be (158/22)/(-1) - 4/(-22). Let b = 9 + i. Factor b + 9*l**2 - 2*l**3 - 4*l**2 + 2*l - 7*l**2.
-2*(l - 1)*(l + 1)**2
Let d(o) = 78*o**3 + 386*o**2 - 40*o. Let k(f) = 78*f**3 + 387*f**2 - 40*f. Let l(h) = 5*d(h) - 4*k(h). Suppose l(g) = 0. What is g?
-5, 0, 4/39
Let 124/3*b**3 + 2761*b**2 + 73780/3*b + 354025/6 + 1/6*b**4 = 0. What is b?
-119, -5
What is y in 6*y**2 - 350 + 724 - 22*y**2 + 998 - 5484*y = 0?
-343, 1/4
Let t be (-2)/5 + (307/5 - 1). Determine a so that 10*a**4 - 17*a**4 - 13*a**4 - t*a**3 + 5*a**5 = 0.
-2, 0, 6
Let 176/9*n**4 + 0*n + 0 - 2/9*n**5 - 3872/9*n**3 + 0*n**2 = 0. Calculate n.
0, 44
Let d = 44 - 42. Let q be (d - (255/6 + -3))*-2. Factor -32*g - q - 3*g**3 + 27*g**2 - 36*g + 23*g.
-3*(g - 5)**2*(g + 1)
Let o(j) be the third derivative of j**8/120960 + j**7/30240 - j**6/720 + j**5/30 + 9*j**3 - 31*j**2. Let u(c) be the third derivative of o(c). Factor u(p).
(p - 2)*(p + 3)/6
Factor 1795*d + 470701*d**2 + 2025*d + 5*d**4 + 1900 + 500*d**3 - 468286*d**2.
5*(d + 1)*(d + 2)**2*(d + 95)
Let r = 473079 - 473077. Solve 63/5*v + 3/5*v**3 + 24/5*v**r + 54/5 = 0.
-3, -2
Factor -1/3*t**4 + 9216 - 3456*t - 528*t**2 - 70/3*t**3.
-(t - 2)*(t + 24)**3/3
Let g(p) be the third derivative of -p**5/90 - 689*p**4/36 + 983*p**2. Find i such that g(i) = 0.
-689, 0
Suppose 5*n - 167 = -4*y, -n + 5*y - 8*y + 29 = 0. Suppose -2*l**4 + 8*l**3 + 16*l**2 + 4*l**3 - n*l - 13*l - 2*l**4 = 0. What is l?
-2, 0, 2, 3
Let k(w) be the second derivative of w**8/420 - w**7/105 - w**6/90 + w**5/15 - 77*w**3/6 - w + 64. Let q(g) be the second derivative of k(g). Factor q(o).
4*o*(o - 2)*(o - 1)*(o + 1)
Let j(d) be the second derivative of 3/8*d**4 - 1/20*d**6 + 0*d**5 + 3 - 4*d - 1/2*d**3 + 0*d**2. Find v, given that j(v) = 0.
-2, 0, 1
Let z(j) = -11*j + 237. Let y be z(21). Let -56*v**2 + y*v**5 + 87*v**3 + 18*v - 2*v - 19*v**3 - 34*v**4 = 0. Calculate v.
0, 2/3, 1, 2
Let -312 - 3*k**2 + 4*k**2 - 2*k**2 + 331 + 161*k - 179 = 0. Calculate k.
1, 160
Let m = 316706/7 + -45242. Determine r so that -2/7*r**2 + 54/7 - m*r = 0.
-9, 3
Let t(v) be the second derivative of -v**5/4 + 25*v**4/6 + 305*v**3/6 - 175*v**2 - 373*v + 5. Determine y so that t(y) = 0.
-5, 1, 14
Suppose 8990*g = 8951*g. Suppose g - 7/5*z + 27/5*z**2 + 4/5*z**3 = 0. Calculate z.
-7, 0, 1/4
Let d(c) be the second derivative of -13*c**4/12 + 19*c**3/3 + 3*c**2/2 + 3264*c. Find s, given that d(s) = 0.
-1/13, 3
Let l(d) be the first derivative of d**5/20 + 17*d**4/8 + 95*d**3/12 + 31*d**2/4 - 4199. Determine s so that l(s) = 0.
-31, -2, -1, 0
Let w = 1529 - 1523. Let h(y) be the third derivative of 1/240*y**w - 1/24*y**3 - 9*y**2 + 0*y + 0 + 0*y**5 - 1/48*y**4 + 1/840*y**7. Factor h(p).
(p - 1)*(p + 1)**3/4
Let 30 - 639/7*z + 384/7*z**2 + 45/7*z**3 = 0. Calculate z.
-10, 7/15, 1
Let n(h) be the third derivative of h**6/60 + 203*h**5/6 - 2033*h**4/12 + 339*h**3 - 71*h**2 + 7*h - 2. Factor n(k).
2*(k - 1)**2*(k + 1017)
Let x(d) be the first derivative of 1/3*d**6 + 0*d**2 + 5/2*d**4 - 4/3*d**3 + 0*d - 78 - 8/5*d**5. Factor x(v).
2*v**2*(v - 2)*(v - 1)**