 + 1/12*s**4 + 12*s - 1/6*s**3 - 1/2*s**2 + 0. Solve k(a) = 0 for a.
-1, 1
Let s = 231784/15 + -15452. Suppose 4/3 + 26/15*z - 2/15*z**3 + s*z**2 = 0. Calculate z.
-2, -1, 5
Suppose -39*p - 11*p = 1509 - 3709. Factor 2/3*o**2 + 726 + p*o.
2*(o + 33)**2/3
Let i(g) = 4*g**2 + 5*g + 9. Let u(n) = n**2 + 2*n - 1. Let l = -109 + 106. Let w(c) = l*i(c) + 15*u(c). Suppose w(t) = 0. What is t?
-7, 2
Let l(c) = -c**5 - 173*c**4 - 346*c**3 - 180*c**2 - 3*c. Let n(m) = -m**4 - m**3 + 2*m**2 + m. Let f(q) = -l(q) - 3*n(q). Factor f(i).
i**2*(i + 1)**2*(i + 174)
Let h be (0 + -2)*(-363)/198 - 6/(-18). Let o(l) be the first derivative of -1/5*l**5 - 34 + l**3 + 0*l + l**2 + 0*l**h. Factor o(m).
-m*(m - 2)*(m + 1)**2
Let n = 167302 - 501872/3. Let -n*a**2 + 44/3*a - 2/3*a**3 - 16/3 + 10/3*a**4 - 2/3*a**5 = 0. What is a?
-2, 1, 4
Suppose -3*p = d - 27, 2*d - 69 + 40 = -p. Factor 0 + 0*g + 1/7*g**4 + 1/7*g**3 - 1/7*g**2 - 1/7*g**p.
-g**2*(g - 1)**2*(g + 1)/7
Suppose 5*f - 72*z - 62 = -76*z, 2*z - 6 = 0. Suppose 0*j + 3*j + 3*t - 3 = 0, 3*j - 4*t - f = 0. Factor 2/3*l**j - 10/3 - 8/3*l.
2*(l - 5)*(l + 1)/3
Factor -136/7*l**2 + 148/7*l - 4/7*l**3 + 40.
-4*(l - 2)*(l + 1)*(l + 35)/7
Let y be (7 - 6) + 1/(-2) + 255/(-1190). Determine f so that -4*f**2 + 40/7*f - 2/7*f**5 + 8/7*f**4 - 16/7 - y*f**3 = 0.
-2, 1, 2
Let g = 15 - 12. Suppose -3*r + 2*r - 28 = -3*x, g*x = -5*r + 22. Let -3 + 6*i - x*i + i + i**2 = 0. Calculate i.
-1, 3
Let u(i) be the third derivative of 0 + 0*i + 34/15*i**3 - 3/10*i**4 - 184*i**2 + 1/300*i**5. Determine l, given that u(l) = 0.
2, 34
Let u be (2/(-3))/((-16)/288). Factor -10*f**3 + 50*f**4 - 52*f**4 - u*f**2 + 4*f**2.
-2*f**2*(f + 1)*(f + 4)
Suppose -17 = 5*m - 3*n, -185*n = 5*m - 181*n - 46. Let 200/11*p + 2/11*p**3 + 40/11*p**m + 0 = 0. Calculate p.
-10, 0
Suppose 0 = 2*n - 9 + 1. Let d = 255 - 250. Factor 6*w + n - w**2 - 4*w - d*w.
-(w - 1)*(w + 4)
Let z = -732 - -1512. Factor 178*y**2 + 130 + 67*y**2 + z*y + 50 + 20*y**3.
5*(y + 6)**2*(4*y + 1)
Let n(a) be the first derivative of -2*a**3/33 + 256*a**2/11 - 32768*a/11 + 806. Find o, given that n(o) = 0.
128
Let i(l) = -110*l - 326. Let d be i(-3). Let a(k) be the first derivative of 0*k**2 + 21 - 4/3*k**3 + 0*k - 1/2*k**d. Factor a(g).
-2*g**2*(g + 2)
Let o(m) = -11*m**2 - 53*m + 318. Let q(u) = 6*u**2 + 26*u - 160. Let r(b) = 4*o(b) + 7*q(b). Let r(y) = 0. Calculate y.
-19, 4
Let n(i) be the first derivative of 177 + 128/5*i**5 - 361/10*i**4 - 23/5*i**2 - 20/3*i**6 + 2/5*i + 326/15*i**3. Factor n(h).
-2*(h - 1)**3*(10*h - 1)**2/5
Let y(h) be the first derivative of 0*h**2 + 11 - 15*h - 2/3*h**3 - 1/3*h**4. Let t(g) be the first derivative of y(g). Determine d, given that t(d) = 0.
-1, 0
Let i = -191 + 272. Factor 9*c**2 + c**5 - 8*c**3 + 23*c**3 - i*c**4 + 164*c**4 - 76*c**4.
c**2*(c + 1)*(c + 3)**2
Let h(v) be the first derivative of -5*v**6/6 + 220*v**5 - 2185*v**4/4 + 1090*v**3/3 + 1444. Suppose h(m) = 0. What is m?
0, 1, 218
Let n(c) = 3*c - 14. Let m be n(4). Let p be -5*m*2/12. Factor 0 - 10/3*v + p*v**3 + 5/3*v**2.
5*v*(v - 1)*(v + 2)/3
Let v be -39 + (-11100)/(-285) - ((-1114)/228 - -2). Suppose -20/3*p**2 + v*p + 7/2*p**3 + 1/3 = 0. What is p?
-2/21, 1
Factor 74*l + 4*l**2 - 414 + 19 + 158*l + 0*l**2 - 85.
4*(l - 2)*(l + 60)
Let j(g) be the third derivative of -1/200*g**6 + 0 + 26*g**2 + 0*g**3 + 1/40*g**4 + 0*g + 1/600*g**5 - 1/2100*g**7. Factor j(y).
-y*(y - 1)*(y + 1)*(y + 6)/10
Let v(g) = g**3 - 8*g**2 + 4*g + 25. Let y be v(7). Suppose -29*l**4 + l**3 + 13*l**y + 15*l**4 = 0. Calculate l.
0, 1
Let f(s) be the first derivative of 15/2*s**2 + 1/540*s**5 + 0*s**3 + 22 + 0*s + 1/108*s**4. Let p(d) be the second derivative of f(d). Solve p(r) = 0 for r.
-2, 0
Suppose 4*h + 0*v - 7 = -v, 3 = -3*v. Factor 24*g + 0*g - 1 + 4*g**2 + 49 - g**h.
3*(g + 4)**2
Let k(z) be the second derivative of z**8/252 + 32*z**7/315 + 29*z**6/90 + 14*z**5/45 + 27*z**2/2 + 34*z. Let h(y) be the first derivative of k(y). Factor h(v).
4*v**2*(v + 1)**2*(v + 14)/3
Find u such that 1/4*u**3 + 407/4*u**2 + 40795/4*u - 126075/4 = 0.
-205, 3
Let r(m) = -m - 9. Let o be r(-14). Suppose 3 = o*y - 7. Suppose 5/6*q**y + 5/2*q + 0 = 0. Calculate q.
-3, 0
Let s(w) be the first derivative of 7*w**4/4 + 80*w**3/3 - 139*w**2/2 + 52*w - 5148. Let s(d) = 0. What is d?
-13, 4/7, 1
Suppose -5*a = 5*f - 1135, f + f - 484 = 4*a. Let w = 698/3 - f. Factor 4/3*m**3 + 2/3*m**2 - 5/3*m + w - 4/3*m**4 + 1/3*m**5.
(m - 2)*(m - 1)**3*(m + 1)/3
Let t(r) be the second derivative of -r**5/60 - 19*r**4/12 - 361*r**3/6 + 83*r**2 - 65*r. Let w(m) be the first derivative of t(m). Factor w(y).
-(y + 19)**2
Suppose -l - 4*k = -4, 2*k + 0 = -l + 4. Factor -4*m**3 + 12*m - l*m**4 - 4*m**2 - 5*m**3 - 4*m**3 + 8 + m**3.
-4*(m - 1)*(m + 1)**2*(m + 2)
Let b = -20268415/13 - -1559109. Factor b*s**3 - 106/13*s**2 + 0 + 0*s.
2*s**2*(s - 53)/13
Suppose 3*k + 420 = 432. Suppose -4*t - k = -3*u, 16*u = -2*t + 15*u + 8. Find m such that 2/5*m**5 - 4/5*m**t - 4/5*m**3 + 2/5 + 2/5*m + 2/5*m**4 = 0.
-1, 1
Let 1/12*l**2 - 64/3*l + 253/4 = 0. Calculate l.
3, 253
Let m be ((-37)/(1332/(-24)))/14. Let t(z) be the first derivative of 5 - m*z**3 - 3/14*z**2 - 2/7*z. Factor t(d).
-(d + 1)*(d + 2)/7
Suppose -3*v + 5*h + 19 = 0, 2*v + 5*h = 2*h. Suppose -2320*n**4 - 2*n**5 + 10*n**3 + 2355*n**4 + 8*n**v = 0. Calculate n.
-1/2, 0, 18
Let w(f) be the third derivative of f**8/20160 + f**7/720 - f**6/90 - f**5/60 - 61*f**2. Let s(p) be the third derivative of w(p). Factor s(m).
(m - 1)*(m + 8)
Let u(q) = 29*q**3 - 803*q**2 + 1060*q - 961. Let o(x) = 7*x**3 - 194*x**2 + 265*x - 240. Let w(p) = 25*o(p) - 6*u(p). Factor w(g).
(g - 18)*(g - 13)*(g - 1)
Let n(l) be the second derivative of -1/8*l**2 - 1/48*l**4 + 0 - 1/336*l**7 + 1/60*l**6 + 5/48*l**3 - 1/40*l**5 - 134*l. What is t in n(t) = 0?
-1, 1, 2
Let k(q) = 53*q**3 + 26516*q**2 + 4175010*q + 1190700. Let w(x) = 18*x**3 + 8840*x**2 + 1391670*x + 396900. Let m(c) = -4*k(c) + 11*w(c). Factor m(p).
-2*(p + 315)**2*(7*p + 2)
Let s = -31605 - -16599. Let v be (-2)/7 - s/4305. What is p in 16/5*p - 12/5*p**2 - v*p**3 + 12/5 = 0?
-1, -3/4, 1
Suppose -2*f + 16 = -2*y, 3*f + f - 25 = 3*y. Let p be (240/(-42))/(2/y). Find o, given that 62*o**5 + 35*o**3 - 27*o + 7*o - p*o**2 - 47*o**5 + 50*o**4 = 0.
-2, -1, 0, 2/3
Let l(w) = -2*w**3 + 32*w**2 + 22*w - 6. Let k(p) = -2*p**3 + 31*p**2 + 23*p - 5. Let u(n) = 6*k(n) - 5*l(n). Solve u(g) = 0.
-1, 0, 14
Let r(g) be the first derivative of 82*g**2 - 96 - 24*g - 52/3*g**3. What is p in r(p) = 0?
2/13, 3
Let v = 1949 - 1948. Let c = 10 - 7. Suppose 15*i - 6*i**2 - v + 4 - c = 0. What is i?
0, 5/2
Let g(d) = 64*d**2 - 233*d + 51. Let o(r) = -52*r**2 + 232*r - 50. Let j(u) = -4*g(u) - 6*o(u). Factor j(i).
4*(i - 8)*(14*i - 3)
Let i(z) be the second derivative of -z**5/50 + 23*z**4/30 - 127*z**3/15 + 21*z**2 + 2*z - 1658. Factor i(f).
-2*(f - 15)*(f - 7)*(f - 1)/5
Let i(v) be the first derivative of -9/2*v**2 + 0*v**3 + 1/12*v**5 + 25/12*v**4 + 0*v - 36. Let r(f) be the second derivative of i(f). Factor r(h).
5*h*(h + 10)
Let l(s) be the second derivative of -7*s**5/30 + 725*s**4/36 - 563*s**3/18 + 17*s**2 + 3761*s. Solve l(f) = 0.
2/7, 1/2, 51
Let t be 13 + (2380/(-1700))/((-4)/(-30)). Factor 2*o**3 + t + 13/2*o**2 + 7*o.
(o + 1)**2*(4*o + 5)/2
Suppose -4*g**5 + 40*g**3 - 69288*g**4 + 9*g**5 + 69318*g**4 = 0. What is g?
-4, -2, 0
Let k(o) be the third derivative of 0*o + 1/2*o**5 - 5/8*o**6 + 35/24*o**4 + 1/21*o**7 - 14*o**2 + 0*o**3 + 0. Factor k(z).
5*z*(z - 7)*(z - 1)*(2*z + 1)
Factor 8/3*f**3 + 2/3*f**2 - 2/3*f**4 + 0 - 8/3*f.
-2*f*(f - 4)*(f - 1)*(f + 1)/3
Let y = 257/5200 + 3/5200. Let j(r) be the first derivative of y*r**4 + 1/5*r**2 + 30 + 0*r + 1/5*r**3. Factor j(c).
c*(c + 1)*(c + 2)/5
Let r(a) be the third derivative of 0*a**3 + 0 + 0*a - 2/15*a**4 - 1/15*a**5 - 1/150*a**6 - 103*a**2. Factor r(w).
-4*w*(w + 1)*(w + 4)/5
Factor 1/3*c**2 + 112 + 337/3*c.
(c + 1)*(c + 336)/3
Factor 534*x**2 - 36*x - 175*x**3 + 29/2*x**4 + 0.
x*(x - 6)**2*(29*x - 2)/2
Let r be (-20)/18 + (9622/306 - 29). Suppose -r*l - l**2 + 0 + 1/3*l**3 = 0. Calculate l.
-1, 0, 4
Let j be (-2 + 3)*-9 + 616/44 + -2. Factor -3*o**2 + 9/2*o**j + 0*o + 0 - 3/2*o**4.
-3*o**2*(o - 2)*(o - 1)/2
Suppose -61*b