ve of 0*f + 3/140*f**7 + 0*f**3 - 6*f**2 + 7/80*f**6 + g*f**4 + 1/20*f**5 + 0. Factor n(u).
3*u**2*(u + 2)*(3*u + 1)/2
Suppose 549/2*v - 137 + 1/2*v**3 - 138*v**2 = 0. Calculate v.
1, 274
Let y(r) be the first derivative of r**4/34 - 20*r**3/17 - 9*r**2/17 + 540*r/17 + 176. Factor y(h).
2*(h - 30)*(h - 3)*(h + 3)/17
Let z(k) = 18*k**4 - 961*k**3 - 1935*k**2 - 621*k + 237. Let w(o) = 9*o**4 - 488*o**3 - 968*o**2 - 310*o + 119. Let j(b) = -7*w(b) + 3*z(b). Factor j(i).
-(i - 61)*(i + 1)**2*(9*i - 2)
Let a(q) = 66*q**5 + 120*q**4 - 24*q**3 - 10*q**2 + 5. Let j(t) = -429*t**5 - 780*t**4 + 156*t**3 + 66*t**2 - 33. Let b(u) = -33*a(u) - 5*j(u). Factor b(m).
-3*m**3*(m + 2)*(11*m - 2)
Let n be 2/4*(100/4 + 1). Factor 92*f**2 - n*f - f - 94*f**2.
-2*f*(f + 7)
Let f(q) = q + 14. Let b be f(-9). Suppose 2*s - 26 = -8*r + 3*r, 0 = -r - b*s + 19. Factor 3 - 4*w**r - 2*w**2 + 4*w**3 - 3 + 10*w**2.
-4*w**2*(w - 2)*(w + 1)
Suppose -16*r + 2198 = 36*r + 2094. Factor -17/8*a + 0 - 1/8*a**r.
-a*(a + 17)/8
Let f(d) be the first derivative of -2*d**6/3 + 68*d**5/5 + 146*d**4 - 712*d**3/3 - 290*d**2 + 644*d - 266. Find y, given that f(y) = 0.
-7, -1, 1, 23
Suppose -29*q + 272 + 61*q - 24*q + 136*q + 4*q**2 = 0. What is q?
-34, -2
Let v be 57*(-14 - -10)/((-4)/6). Factor -v*p**4 + 4*p**5 + 334*p**4 + 128*p - 48*p**3 + 24*p**2 + 8*p**2 + 0*p**5.
4*p*(p - 4)*(p - 2)*(p + 2)**2
Let b(v) be the third derivative of v**7/210 + 49*v**6/15 + 2561*v**5/4 - 49*v**4/3 - 19208*v**3/3 - v**2 + 11*v - 12. Factor b(w).
(w - 1)*(w + 1)*(w + 196)**2
Let c be (-3)/(-6) - (-6)/4. Let r(q) be the first derivative of -232*q**4 + 231*q**4 - 17 + 2*q**c - 8. Determine d so that r(d) = 0.
-1, 0, 1
Let j = -22237/60 + 1112/3. Let h(x) be the third derivative of 0 + 18*x**2 + 0*x + 2/3*x**3 - 1/15*x**5 + j*x**6 - 1/4*x**4. Factor h(n).
2*(n - 1)*(n + 1)*(3*n - 2)
Let p(h) be the second derivative of -h**4/6 + 271*h**3 - 812*h**2 - 1304*h. Solve p(q) = 0 for q.
1, 812
Let z(q) = -6*q**2 + 8*q. Let v(o) = 6*o**2 - 8*o + 1. Let k(m) = -6*v(m) - 5*z(m). Let g(y) = 7*y**2 - 6*y + 5. Let h(f) = -2*g(f) - 3*k(f). Factor h(c).
4*(c - 2)*(c - 1)
Let v be ((-5680)/5964)/((-60)/56). Solve -v - 26/9*t - 2/3*t**2 = 0.
-4, -1/3
Let o(f) be the third derivative of 2*f**2 + 13 - 25/6*f**4 - 250/3*f**3 - 1/12*f**5 + 0*f. Suppose o(w) = 0. What is w?
-10
Factor -2*k**2 - 78 + 1721*k + 1799*k - 3440*k.
-2*(k - 39)*(k - 1)
Suppose 9*x - 3835 = -5*r + 4*x, -2*r + 5*x = -1534. Let z = r + -743. Find d, given that -4*d**3 - 72/7 - z*d - 2/7*d**4 - 122/7*d**2 = 0.
-6, -1
Let u(h) be the third derivative of -h**5/480 + 29*h**4/96 - 841*h**3/48 + 178*h**2 - 2*h. Factor u(s).
-(s - 29)**2/8
Let n be (1233/(-274))/(7/(-2)). Factor -4/7 - 5/7*b**2 + n*b.
-(b - 1)*(5*b - 4)/7
Let y = -39 - -274/7. Let z = 306405 - 306405. Factor y*d**4 + z*d - 2/7*d**2 - 1/7*d**3 + 0.
d**2*(d - 2)*(d + 1)/7
Let k(h) be the second derivative of -h**6/6 - 31*h**5/4 - 215*h**4/6 - 140*h**3/3 + 1046*h. Factor k(d).
-5*d*(d + 1)*(d + 2)*(d + 28)
Let 0*m + 770/9*m**2 - 2/9*m**3 + 0 = 0. What is m?
0, 385
Let m be (6 - -13)*152/2. Suppose m - 1450 = -3*g. Solve -15/4*f**3 + 5/4*f**5 + 4*f**g - 1/2*f**4 - f + 0 = 0 for f.
-2, 0, 2/5, 1
Suppose 21*m = 12*m. Suppose m = 5*p + 25, -5*u + 3*p + 19 = -3*u. Factor -6*k + 17*k**u - 5 - 11*k**2 + 4*k**3 + 1.
2*(k - 1)*(k + 2)*(2*k + 1)
Factor -56/3*p**2 - 140 - 478/3*p + 2/3*p**3.
2*(p - 35)*(p + 1)*(p + 6)/3
Let w(o) be the first derivative of -o**4/24 - 5*o**3/4 - 9*o**2 - 159*o + 154. Let u(l) be the first derivative of w(l). What is q in u(q) = 0?
-12, -3
Let o be ((-90)/(-594))/(2/(-4) + 3). Let k(a) be the second derivative of -17*a + 0 - 1/110*a**5 + 0*a**2 - 1/22*a**4 - o*a**3. Factor k(f).
-2*f*(f + 1)*(f + 2)/11
Let q(s) be the second derivative of s**4/6 - s**3/3 - 342*s**2 + 2999*s. Let q(v) = 0. What is v?
-18, 19
Factor 207/2*r**3 + 3675 - 7245*r + 13863/4*r**2 + 3/4*r**4.
3*(r - 1)**2*(r + 70)**2/4
Let v be ((-660)/(-54))/11*54/48. What is u in v*u - 1 - 1/4*u**2 = 0?
1, 4
Let j = -15200 - -15205. Find a such that -2/13*a**j + 20/13*a**4 + 36/13 - 76/13*a**3 - 114/13*a + 136/13*a**2 = 0.
1, 2, 3
Suppose -1342 = 9*z - 7894. Suppose 866*r**4 + 1102736*r + z*r**3 - 431*r**4 - 40344*r**2 - 72*r**3 - 11303044 - 439*r**4 = 0. What is r?
41
Let i = -142 - -146. Determine r, given that 10*r - 1 + 15*r + 17 + i*r**2 - 5*r = 0.
-4, -1
Suppose 0 = -2*x + 6, -4*r - 2*x + 14 = -0*x. Let h be 7 + (-26 + 2)/8. Determine w, given that -4*w**r - 4*w**3 + 2*w + 2*w - h*w**4 + w**4 + 7*w**4 = 0.
-1, 0, 1
Let f be (-5)/(-9 - (-65)/10). Let u(t) = -t**3 + 5*t**2 + 9*t - 4. Let a be u(6). Factor -x**5 + 2*x**2 + x - f*x**4 + a - 7 - 7.
-x*(x - 1)*(x + 1)**3
Let s(g) be the first derivative of -g**4 + 508*g**3 + 1530*g**2 + 1532*g - 2933. Determine z, given that s(z) = 0.
-1, 383
Factor -30*h**5 + 29*h**5 - 20541*h**4 + 20455*h**4 + 86*h**2 + 1849*h - 1848*h**3.
-h*(h - 1)*(h + 1)*(h + 43)**2
Suppose 8*l = -5*v + 94, -5*v - 47*l + 46 = -45*l. Let t(w) be the third derivative of 0 + v*w**3 + 1/15*w**5 + 0*w + 13*w**2 + w**4. Let t(f) = 0. Calculate f.
-3
Let c(h) be the first derivative of 0*h + 3/8*h**2 + 3/4*h**3 - 66 + 9/16*h**4 + 3/20*h**5. Factor c(a).
3*a*(a + 1)**3/4
Solve 30*v**2 - 35*v**2 - 3322 + 1922 - 235*v = 0 for v.
-40, -7
Suppose -48*z**2 - 20*z**3 + 3*z**2 + 1030*z**5 - 7*z**2 + 52*z**4 - 1010*z**5 = 0. What is z?
-13/5, -1, 0, 1
Let i(k) be the first derivative of 6/35*k**5 + 9/14*k**4 - 48/7*k**3 + 12*k**2 + 0*k + 306. Suppose i(x) = 0. What is x?
-7, 0, 2
Let j = 679 + -674. Suppose j*n - v = 6*n - 36, 4*v = 16. Factor -64/3 + n*w**2 - 112/3*w**3 + 32/3*w - 2*w**5 + 44/3*w**4.
-2*(w - 2)**4*(3*w + 2)/3
Let y(g) be the third derivative of 5/204*g**4 + 0 + 7/510*g**5 + 1/510*g**6 + 45*g**2 + 0*g**3 + g. Solve y(m) = 0 for m.
-5/2, -1, 0
Let h(s) be the second derivative of -s**5/5 + 107*s**4/3 - 1360*s**3 - 93600*s**2 - 6378*s. Determine d so that h(d) = 0.
-13, 60
Let w be (-2 - 0)/(159/(-318)). Let m be 150/130 - 5 - -1*w. Determine j, given that 2/13 - 2/13*j**2 - m*j**3 + 2/13*j = 0.
-1, 1
Let a(m) = 13*m**2 - 2*m - 26. Let b be a(5). Let i = 1451/5 - b. Suppose -9/5*o - 9/5*o**3 - i + 24/5*o**2 = 0. What is o?
-1/3, 1, 2
Factor -2*z**3 - 834*z**2 + 1990*z + 287*z + 389*z - 1680 - 150*z.
-2*(z - 2)*(z - 1)*(z + 420)
Let c = -9886 - -9891. Let s(p) be the third derivative of -1/60*p**c + 0 + 5/24*p**4 - 33*p**2 + p**3 + 0*p. Suppose s(w) = 0. Calculate w.
-1, 6
Let j(x) be the first derivative of 2*x**5/35 + 2*x**4 + 52*x**3/7 + 76*x**2/7 + 50*x/7 - 1288. Determine z so that j(z) = 0.
-25, -1
Find y such that -279752/5 + 56698*y**2 - 3738/5*y**4 + 697884/5*y - 697879/5*y**3 - y**5 = 0.
-374, -1, 2/5, 1
Let -4*z**2 - 1792 - 286 - 426 + 192 + 1344*z - 360 = 0. What is z?
2, 334
Suppose 59*z = 60*z - 13. Let f(w) = -w**2 + 22*w - 115. Let g be f(z). Determine d so that 8/3*d - 4/3 + 4/3*d**4 - 8/3*d**3 + 0*d**g = 0.
-1, 1
Suppose -26*w - 80 = -175*w + 334 + 33. Find u, given that 2/9*u**w - 4/9*u**5 + 0*u + 0*u**2 + 0 + 2/9*u**4 = 0.
-1/2, 0, 1
Let f = 10/71 - -31/284. Let v be 7/112*-12*(-1)/3. Let -1/8*t - 1/8*t**5 + v + 1/4*t**4 - 1/2*t**2 + f*t**3 = 0. What is t?
-1, 1, 2
Let a(k) be the third derivative of 37/12*k**4 - 1/30*k**5 + 0 + 5*k**2 - 12*k**3 - 9*k. Factor a(s).
-2*(s - 36)*(s - 1)
Find m such that -62/11*m**2 + 120/11*m + 1/11*m**3 + 0 = 0.
0, 2, 60
Let f(m) = -705*m**3 + 1155*m**2 + 5255*m - 6480. Let y(s) = 169*s**3 - 289*s**2 - 1314*s + 1620. Let k(l) = -6*f(l) - 25*y(l). Factor k(w).
5*(w - 1)*(w + 6)*(w + 54)
Let y be 54/99 + (-7 - 3150/(-396)). Let 15 - 33/2*v + y*v**2 = 0. What is v?
1, 10
Factor 697/10*f + 3/10*f**2 + 116/5.
(f + 232)*(3*f + 1)/10
Let j(g) be the first derivative of -2*g**3/9 + 1058*g**2 - 1679046*g - 7335. Factor j(a).
-2*(a - 1587)**2/3
Let t(j) = 3*j**2 + 26*j - 5. Let f be t(-9). Let -68*a**2 + 13*a - 2*a**3 + 4*a**f + 22*a + 29*a**3 + a**3 + a = 0. What is a?
-9, 0, 1
Suppose -72*j = -70*j - 32. Determine m so that 156*m**2 - 109*m**5 - 88*m - 122*m**3 + m**4 + 103*m**5 + j + 43*m**4 = 0.
1/3, 1, 2
Determine r so that -124*r**2 - 370/3 - 247*r - 1/3*r**3 = 0.
-370, -1
Find t, given that -3576*t**3 + 1609*t**3 - 3*t**5 - 4590 - 534*t**4 - 12267*