22*l**4 + 869*l**3 + 823*l**2 - 17*l. Let a(q) = 17*v(q) - 6*z(q). Determine k, given that a(k) = 0.
-70, -1, 0
Let j = 0 + 2. Let v be (4416/780 - (-3 - (-180)/52)) + -5. Determine n, given that 64/5 + v*n**j - 16/5*n = 0.
8
Suppose 2*q + 3*u = -189, 2*q - 3*u + 182 = -25. Let o be (-678)/q + -6 - 2/11. What is n in 1/3 + 1/3*n**2 - o*n = 0?
1
Let p(t) be the third derivative of -t**7/1890 + t**6/270 + 59*t**5/135 - 20*t**4/9 - 800*t**3/3 - 2917*t**2. Factor p(n).
-(n - 12)**2*(n + 10)**2/9
Let k(t) be the first derivative of 2*t**6/75 + 4*t**5/25 - t**4/15 - 8*t**3/15 + 121*t - 39. Let b(d) be the first derivative of k(d). Factor b(x).
4*x*(x - 1)*(x + 1)*(x + 4)/5
Let b = -185/2033 + 84465/34561. Factor 26/17*g**2 - b*g - 4/17*g**3 + 18/17.
-2*(g - 1)**2*(2*g - 9)/17
Let j = -278 + 344. Let z be 0/j*(-2)/4. Factor z*m - 2/3*m**3 - 2/3*m**2 + 2/3*m**4 + 0 + 2/3*m**5.
2*m**2*(m - 1)*(m + 1)**2/3
Let p(a) = 7*a**3 + 11*a**2 + 9*a + 9. Let o be p(9). Factor -o - 133*y**2 + 312*y + 255*y**2 - 126*y**2.
-4*(y - 39)**2
Suppose 427 = -22*s + 1967. Factor 51*t - 61*t + s*t**2 - 5*t**3 - 185*t - 50*t.
-5*t*(t - 7)**2
Let g = 426 + -638. Let p be (((-2)/(-16))/1)/((-53)/g). Factor 2/3*h - p - 1/6*h**2.
-(h - 3)*(h - 1)/6
Let w(o) be the third derivative of o**6/300 - 17*o**5/5 - o**4/60 + 34*o**3 - 8117*o**2. Suppose w(t) = 0. Calculate t.
-1, 1, 510
Let n(t) be the first derivative of 195 + 0*t**2 - 34/55*t**5 + 4/11*t**4 + 2/33*t**6 + 0*t**3 + 0*t. Factor n(d).
2*d**3*(d - 8)*(2*d - 1)/11
Let f(y) be the third derivative of -17*y**5/5 - 7*y**4/2 - 6*y**3 + 160*y**2. Let a(g) = -g**2 + 2*g - 1. Let h(c) = -20*a(c) + f(c). Factor h(i).
-4*(2*i + 1)*(23*i + 4)
Let l be ((-10)/(-98))/((-230)/(-257600)). Find h such that -80/7*h**3 - 2/7*h**4 + 0 + 0*h - l*h**2 = 0.
-20, 0
Let z(a) = -7*a**3 + 8078*a**2 - 1093416*a + 2154736. Let v(w) = 5*w**3 - 5385*w**2 + 728945*w - 1436490. Let d(n) = -8*v(n) - 5*z(n). Factor d(x).
-5*(x - 268)**2*(x - 2)
Let y be (24 - 7 - 15)/(2/(-4)). Let q be (56 + -56)/(y - 1). Determine d so that q*d + 3/7 - 3/7*d**2 = 0.
-1, 1
Let q(w) be the third derivative of 29*w**2 + 1/64*w**4 - 2 - 3/160*w**5 + 1/48*w**3 + 0*w + 1/192*w**6. Determine g, given that q(g) = 0.
-1/5, 1
Determine a, given that 792/7*a - 40 + 18/7*a**4 + 28*a**3 - 726/7*a**2 = 0.
-14, 1, 10/9
Determine m, given that -2/15*m**3 + 862/15 + 574/5*m + 286/5*m**2 = 0.
-1, 431
Factor 68/9*c - 2/9*c**2 - 62/3.
-2*(c - 31)*(c - 3)/9
Let h(t) be the third derivative of t**6/360 + t**5/12 + 2*t**4/3 + 7*t**3 + 70*t**2. Let r(o) be the first derivative of h(o). Factor r(p).
(p + 2)*(p + 8)
Let o = -4923 - -4927. Let t(d) be the second derivative of 9/2*d**2 + 7/12*d**o + 16*d + 5/2*d**3 + 1/20*d**5 + 0. Factor t(v).
(v + 1)*(v + 3)**2
Let c(g) be the third derivative of -g**8/1344 + g**7/840 + 3*g**6/20 + 83*g**2 - 3*g. Determine q so that c(q) = 0.
-8, 0, 9
Let 2592/17*x**3 + 2882/17*x + 51984/17*x**2 + 40/17 = 0. What is x?
-20, -1/36
What is d in 4788/5 + 7660*d + 76576/5*d**2 - 64/5*d**3 = 0?
-1/4, 1197
Let p be 2106/648 + ((-9)/18)/(4/10). Let a(u) be the second derivative of -28*u + 1/75*u**6 + 0*u**4 - 2 - 1/10*u**5 + 0*u**p + 0*u**3. Factor a(g).
2*g**3*(g - 5)/5
Let y(k) be the first derivative of 1/4*k**4 - 72 + 7/3*k**3 - 1/5*k**5 - 13/2*k**2 + 6*k. Factor y(t).
-(t - 2)*(t - 1)**2*(t + 3)
Factor 0 + 718/7*c**2 - 107/7*c**3 - 432/7*c + 3/7*c**4.
c*(c - 27)*(c - 8)*(3*c - 2)/7
Let o(h) = 7 + 9 + 16 - 4 + 5*h. Let i be o(-5). Factor -p**i + 10 + 20*p**2 + 6*p**3 + 25*p + 2*p**3 - 2*p**3.
5*(p + 1)**2*(p + 2)
Let h = 50 - 72. Let m = h - -24. Factor -4/15 + 2/15*x**m - 2/15*x.
2*(x - 2)*(x + 1)/15
Suppose 12*j - 46 = -3*t + 10*j, -j = 3*t - 50. Let s be 12/(-9)*t/(-12). Solve -2/5*q + 0 + 2/5*q**s = 0 for q.
0, 1
Let i(k) be the third derivative of k**5/330 - 9*k**4/22 + 329*k**3/33 + 586*k**2 - 3. Determine j so that i(j) = 0.
7, 47
Let k(h) = 26*h**4 - 766*h**3 - 4085*h**2 - 6571*h - 3431. Let i(c) = -9*c**4 + 255*c**3 + 1362*c**2 + 2190*c + 1146. Let o(z) = -17*i(z) - 6*k(z). Factor o(w).
-3*(w - 92)*(w + 1)*(w + 2)**2
Let t be 1/(-10)*-1*2/(((-4272)/(-576))/89). Suppose 27/5 - t*p**2 - 11/5*p**3 - 1/10*p**5 + 63/10*p + p**4 = 0. Calculate p.
-1, 3, 6
Let o(v) = 10*v - 45. Let i be o(5). Let h(g) be the first derivative of -64*g - 1504/3*g**3 - 16 + 480*g**4 + 256*g**2 - 180*g**i. Factor h(w).
-4*(3*w - 2)**2*(5*w - 2)**2
Suppose -3*w = 2*u - 16, -3*u - 2*w + 323 = 309. Factor -4 + 8/3*f - 4/9*f**u.
-4*(f - 3)**2/9
Solve 92/7*s**3 + 0*s + 0 + 454/7*s**4 + 4*s**5 - 64/7*s**2 = 0.
-16, -1/2, 0, 2/7
Solve -118638*b - 31874*b**2 - 18319*b**2 + 4329*b**3 - 18253*b**5 - 115*b**4 + 18254*b**5 = 0.
-2, 0, 39
Let s(u) = -u**2 - 12*u - 15. Let w be s(-10). Suppose 0 = w*d + 8 - 38. Factor -6 - 10*o - 20*o**2 + d*o**3 + 5*o**4 + 4*o**3 + 21.
5*(o - 1)**2*(o + 1)*(o + 3)
Let i(v) be the third derivative of -v**6/72 + v**5/2 - 55*v**4/24 - 14*v**3 - 3*v**2. Let r(a) be the first derivative of i(a). Let r(q) = 0. Calculate q.
1, 11
Let o(s) = 7*s**2 - 11*s - 13. Let i(v) = -2*v**3 + 27*v**2 - 11*v - 16. Let d be i(13). Let b(p) = -4*p**2 + 6*p + 7. Let a(g) = d*b(g) + 6*o(g). Factor a(h).
2*(h - 4)*(h + 1)
Let -3*n**5 + 1484*n**3 + n**5 - 2863*n**3 + 7*n**4 - 189*n**2 + 1499*n**3 = 0. What is n?
-7, 0, 3/2, 9
Suppose -4*b + 2*u + 131 = 443, -2*b = -4*u + 150. Let q = b + 79. Determine m so that 0 - 1/4*m**4 + q*m + 1/4*m**3 + 0*m**2 = 0.
0, 1
Let u = -460 - -3681/8. Let z(o) be the third derivative of -21*o**2 + 0*o - u*o**6 + 0*o**3 - 1/10*o**7 - 1/2*o**4 + 4/5*o**5 + 0. Find p, given that z(p) = 0.
-2, 0, 2/7, 1
Let f be 13/(-5) - (-3328)/1280. Let c be 2 + -5 - -2 - -4. Solve -2/3*q**2 + f*q - 2/3*q**c + 0 = 0 for q.
-1, 0
Suppose -850*j - 199*j = 316*j. Factor 25/2*d**2 + 0*d + 13*d**4 + j - 5/4*d**5 - 145/4*d**3.
-d**2*(d - 5)**2*(5*d - 2)/4
Let l(y) be the first derivative of -76 - 18*y**2 - 4/3*y**3 + 40*y. Factor l(n).
-4*(n - 1)*(n + 10)
Suppose -398*y + 277 - 439 = -1356. Determine h, given that -18 - 9*h + 1/3*h**y + 0*h**2 = 0.
-3, 6
Let s = -1004759/5 + 200952. What is b in s*b**2 + 4096/5 + 128/5*b = 0?
-64
Solve -15/2*l**2 - 525/4*l + 39/4*l**4 + 69/2*l**3 + 3/4*l**5 + 375/4 = 0 for l.
-5, 1
Let w = -34 - -71/2. Suppose 5*f + 24 = -4*z, -26*f - 30 = -22*f + 5*z. Determine j so that 3/2*j**3 + w*j**2 + 3/8*j**4 + 0 + f*j = 0.
-2, 0
Let q(b) be the third derivative of -1/24*b**6 + 11/6*b**5 - 2*b**2 + 0 + 0*b**3 - 28*b + 0*b**4. Determine f so that q(f) = 0.
0, 22
Let v(z) be the third derivative of 3*z**2 + 0*z - 1/28*z**4 - 31/420*z**6 + 0*z**3 + 2/147*z**8 + 6 + 11/105*z**5 - 8/147*z**7. Determine a so that v(a) = 0.
-1, 0, 1/4, 3
Let q(a) be the second derivative of -63/20*a**5 - 2/7*a**7 + 2 - 24*a + 0*a**2 + 13/4*a**4 - 3/2*a**3 + 3/2*a**6. Factor q(j).
-3*j*(j - 1)**3*(4*j - 3)
Let v = -180 - -282. Suppose -5*y + v = 3*p, -2*p - 55 + 139 = -2*y. Factor -u**4 + 2*u**4 + 33*u**2 + p*u**3 + 11*u**4 + 6*u.
3*u*(u + 1)*(u + 2)*(4*u + 1)
Let x(y) be the first derivative of -y**5/4 - 15*y**4/4 - 20*y**3 - 40*y**2 + 129*y + 117. Let j(c) be the first derivative of x(c). Solve j(k) = 0.
-4, -1
Let n(b) be the first derivative of b**5/5 - 23*b**4/4 + 170*b**3/3 - 218*b**2 + 360*b - 3455. Factor n(i).
(i - 10)*(i - 9)*(i - 2)**2
Let t = 103854 - 103851. Determine i, given that -i**t + 0*i - 1/6*i**4 + 0*i**2 + 0 + 1/6*i**5 = 0.
-2, 0, 3
Let w be 1/5 + (-223)/(-10). Let s be 27/(-4 - (-30)/3)*56/126. Factor -9*v + 75/4*v**4 - 33/4*v**s + 3 + w*v**3.
3*(v + 1)**2*(5*v - 2)**2/4
Let q(a) be the third derivative of 1/66*a**4 + 0*a - 1/330*a**5 - 3*a**2 - 4 + 0*a**3. Factor q(x).
-2*x*(x - 2)/11
Let h = -736599/586 + 1257. Let w = h + 2329/2930. Determine l, given that 4/5*l**3 - w + 1/5*l**4 + 3/5*l**2 - 4/5*l = 0.
-2, -1, 1
Let n be (19/(-228))/(63/5964) - -8. Factor -899/9*u - n*u**3 - 841/9 - 59/9*u**2.
-(u + 1)*(u + 29)**2/9
Let y be (-154)/693 - 778/(-18). Suppose -y*l + 144 - 58 = 0. Factor -1/5*k**l + 3/5*k + 0.
-k*(k - 3)/5
Let s(k) be the second derivative of k**6/120 + 19*k**5/60 - 28*k**2 - 114*k. Let l(p) be the first derivative of s(p). What is u in l(u) = 0?
-19, 0
Let h(l) = 54*l + 15 - 13*l**3 - 7*l**3 + 2 + 5 + 6*l**2. Let o = -3 + 9. Let b(n) = -6