rst derivative of -9/2*n**2 + 4*n - 1/4*n**4 + w*n**3 + 7. Determine v, given that b(v) = 0.
1, 4
Let q(r) be the first derivative of 55 + 1/25*r**5 - 7/20*r**4 + 8/5*r**2 + 8/15*r**3 + 0*r. Factor q(p).
p*(p - 4)**2*(p + 1)/5
Let s(u) be the first derivative of -4/35*u**5 - 3/14*u**4 + 0*u**3 + 1/21*u**6 + 0*u**2 + 0*u + 1. Solve s(m) = 0.
-1, 0, 3
Let h(z) be the first derivative of -5*z**6/12 + 112*z**5 + 1125*z**4/8 - 1126. What is x in h(x) = 0?
-1, 0, 225
Let a be (80/12)/5*13554/8032. Let -1/4*g**5 - 2*g**3 + 1/2*g**2 + 1 + a*g - 3/2*g**4 = 0. Calculate g.
-4, -1, 1
Let n(y) be the second derivative of -y**6/720 - y**5/120 + y**4/16 - 197*y**3/6 + 51*y. Let h(u) be the second derivative of n(u). Factor h(s).
-(s - 1)*(s + 3)/2
Suppose 6*p + 1 = 5*p. Let t(x) = x**4 + 3*x**2 - x. Let m(s) = 0*s**3 + 8*s**3 - 6*s**3 - 3*s**3. Let o(c) = p*t(c) - 3*m(c). Factor o(y).
-y*(y - 1)**3
Let y be (-8)/3 - (-432)/48 - (-72)/(-12). What is b in -1/3*b + y*b**2 - 1/3 + 1/3*b**3 = 0?
-1, 1
Let k(i) = i**3 + 2*i**2 - 14*i + 13. Let f be k(1). What is s in 3*s**4 + 14*s**2 + 6*s**3 + 15*s + 19*s**f + 15*s**3 = 0?
-5, -1, 0
Let q(s) be the first derivative of 10*s + 35/2*s**4 - 185/3*s**3 + 80/3*s**6 + 80*s**5 - 67 - 5/2*s**2. Solve q(u) = 0 for u.
-2, -1, -1/4, 1/4, 1/2
Factor -149379 - 163554 - 2*w**2 + 3740*w - 961830 - 473687.
-2*(w - 935)**2
Let p = -1614 - -1626. Let o be 120/200*10/p. Factor 9/4*n + o - 5/4*n**2.
-(n - 2)*(5*n + 1)/4
Let s be (-5)/(-2) - 30/(-12)*(459/102 - 5). Let -11/8*y + s*y**4 - 1/8 + 11/8*y**3 - 9/8*y**2 = 0. Calculate y.
-1, -1/10, 1
Factor -243/2 + 315/8*b + 3/8*b**2.
3*(b - 3)*(b + 108)/8
Suppose 15*q - 1050 = q. Factor -q*o**3 + 5*o**2 + 65*o - 11*o + 21*o - 5*o**4.
-5*o*(o - 1)*(o + 1)*(o + 15)
Let b(o) be the second derivative of o**4/4 - 169*o**3/2 + 252*o**2 - 947*o. Suppose b(x) = 0. What is x?
1, 168
Let b be ((-5)/5)/(-7 - -4 - 4). Let w(c) be the first derivative of -12/7*c**2 - 48/7*c - b*c**3 - 14. Factor w(j).
-3*(j + 4)**2/7
Let g(w) be the second derivative of w**4/12 - 71*w**3/6 + 35*w**2 - 613*w. What is a in g(a) = 0?
1, 70
Let v(g) be the first derivative of -3*g**2 - 30*g - 17. Let t be v(-5). What is x in 0 + 1/3*x**4 + t*x + 0*x**2 - 2/3*x**3 + 1/3*x**5 = 0?
-2, 0, 1
Let y(x) be the third derivative of 1/3*x**3 + 1/480*x**5 + 0*x + 1/24*x**4 + 0 + 13*x**2. Factor y(s).
(s + 4)**2/8
Let s(i) be the first derivative of i**3/9 - i**2/6 - 4*i - 213. Factor s(h).
(h - 4)*(h + 3)/3
Suppose n + 5*z = -11, 36*z = 2*n + 31*z - 23. Let x be -2*-10*1/n. Solve -195/2*j**4 - 10 + 335/2*j**3 + 45/2*j**x - 285/2*j**2 + 60*j = 0.
2/3, 1
Let g(k) be the first derivative of k**8/168 + k**7/35 + k**6/60 - k**5/10 - k**4/6 + 18*k**2 + k - 56. Let n(h) be the second derivative of g(h). Factor n(c).
2*c*(c - 1)*(c + 1)**2*(c + 2)
Suppose -567*z + 60 + 802 = -136*z. Factor -2/13*i**z - 2/13*i**3 + 0 + 4/13*i.
-2*i*(i - 1)*(i + 2)/13
Suppose 0 = -5*z - 16*n + 11*n - 25, -5*z = -19*n - 239. Let -1/2*i**2 + z - 1/2*i = 0. Calculate i.
-4, 3
Let d = 1107 - 7745/7. Let w(o) = o**3 - o**2 + 3*o + 3. Let s be w(0). Suppose 4/7*b**2 + 22/7*b - d - 22/7*b**s = 0. Calculate b.
-1, 2/11, 1
Let s(f) be the third derivative of -f**6/1980 + 2*f**5/165 - 4*f**4/33 + 13*f**3/3 + 100*f**2. Let k(b) be the first derivative of s(b). Factor k(z).
-2*(z - 4)**2/11
Let o(m) be the first derivative of -m**4/20 + 11*m**3/15 + 47*m**2/5 - 224*m/5 - 3799. Factor o(v).
-(v - 16)*(v - 2)*(v + 7)/5
Let x(j) = -6*j**2 - 22*j - 12. Suppose u - 3 = -0. Let c(b) = 13*b**2 + 23*b - 13*b**2 + 5*b**2 + 12. Let n(a) = u*x(a) + 2*c(a). Factor n(z).
-4*(z + 1)*(2*z + 3)
Let j(t) be the first derivative of t**6 - 4*t**5/5 - 8*t**4 - 28*t**3/3 - 3*t**2 + 1317. Find a, given that j(a) = 0.
-1, -1/3, 0, 3
Let j(m) be the third derivative of 5*m**7/294 - 89*m**6/24 - 4399*m**5/420 - 1385*m**4/168 - 3*m**3 - m**2 + 92. Solve j(u) = 0.
-1, -1/5, 126
Suppose 108 = y - 4*v, -117 = -y - 0*y + v. Factor 15*p**3 - 37*p**5 + 102*p**2 - 32*p**4 + 32*p**5 + 68*p**2 + 260*p + y + 12*p**4.
-5*(p - 3)*(p + 1)*(p + 2)**3
Let i be 2 + 2*(-24)/36. Let l(y) be the second derivative of 0 - 5*y + i*y**3 - 1/5*y**5 - 1/6*y**4 + 0*y**2 + 1/15*y**6. Solve l(g) = 0.
-1, 0, 1, 2
Let u = -2172 + 23894/11. Let x(d) be the first derivative of -2/55*d**5 - 10/33*d**3 + 0*d + 2/11*d**2 + u*d**4 + 8. Factor x(k).
-2*k*(k - 2)*(k - 1)**2/11
Let j(w) be the first derivative of -2*w**3/9 + 251*w**2/3 + 508*w + 13846. Let j(i) = 0. Calculate i.
-3, 254
Factor 0 + 1/2*w**4 + 39/2*w**3 - 81/2*w**2 + 41/2*w.
w*(w - 1)**2*(w + 41)/2
Factor -21 - 6 - 3*c**3 + 252*c - 21*c**2 - 201*c.
-3*(c - 1)**2*(c + 9)
Let q(a) = 9*a - 488. Let t be q(54). Let h be t - (-4 + (-216)/60). Determine y so that 0 - h*y**3 - 34/5*y**2 - 6/5*y**4 - 12/5*y = 0.
-3, -1, -2/3, 0
Let h(v) be the first derivative of v**6 + 112*v**5/15 - 37*v**4/3 - 304*v**3/3 + 865*v**2/3 - 800*v/3 - 1365. Solve h(x) = 0.
-5, 1, 16/9
Let z = 54809/5 + -10635. Let u = z - 326. Determine v, given that 0 + 0*v - u*v**2 - 2/5*v**3 = 0.
-2, 0
Suppose -66 - 594 = -12*f. Factor 87*y**3 - 160*y**2 - 11*y**4 + 5*y**4 - f*y**3 + 4*y**4 + 256*y.
-2*y*(y - 8)*(y - 4)**2
Let r(o) = 48*o**2 - 13393*o + 279. Let w be r(279). Determine s, given that -6*s**2 + 22/7*s + w + 18/7*s**3 + 2/7*s**4 = 0.
-11, 0, 1
Determine h, given that 1644*h**2 - 2*h**4 - 2*h**4 + 1112*h**3 + 17456*h - 16336*h + 592*h**2 = 0.
-1, 0, 280
Find d such that 29*d + 2*d - 26*d + 9*d - 2*d**2 = 0.
0, 7
Let y be -12 + 8 + (8/(-336)*-7)/(2/72). Solve -8 + 1/4*v**y - 7/2*v = 0 for v.
-2, 16
Let r be (18/(-4))/(33/(-44)). Suppose 148*a = 145*a + r. Factor -2/9*b**a - 32/9 + 16/9*b.
-2*(b - 4)**2/9
Suppose 99*d - 10 = 4*c + 97*d, 3*c + 5*d = 51. Factor 1 - 1/8*a**c - 1/4*a.
-(a - 2)*(a + 4)/8
Let t(w) be the first derivative of 4*w**3/3 - 60*w**2 + 896*w - 4364. Determine m so that t(m) = 0.
14, 16
Let m(p) be the second derivative of 3*p**5/110 + 45*p**4/11 + 228*p**3 + 60648*p**2/11 - 246*p. What is q in m(q) = 0?
-38, -14
Suppose 12 = w + 347*g - 343*g, 4*w + 15 = 5*g. Let z(q) be the second derivative of w*q**2 - 1/45*q**3 + 33*q + 0 - 2/45*q**4. Suppose z(b) = 0. Calculate b.
-1/4, 0
Let l(v) be the third derivative of v**7/210 + 7*v**6/120 + v**5/4 + 13*v**4/24 + 2*v**3/3 - 2*v**2 - 1284. Suppose l(m) = 0. Calculate m.
-4, -1
Let w = -2/483 + 487/966. Let p(c) be the first derivative of 0*c + w*c**6 - 9/4*c**4 - c**3 + 3*c**2 + 3/5*c**5 - 17. Factor p(y).
3*y*(y - 1)**2*(y + 1)*(y + 2)
Let m be (5/3)/(5/15). Factor -3*g**5 + 79*g**3 - 51*g**3 + 8*g**m - g**5 - 20*g**4 - 12*g**2.
4*g**2*(g - 3)*(g - 1)**2
Let i(o) be the first derivative of o**3/3 - 579*o**2 + 335241*o + 4249. Factor i(k).
(k - 579)**2
Let r be 25/6 - (-8)/(-48). Suppose -l - 36 = -4*x + 3*l, r*l + 16 = 0. Factor -40*v - 155 - 5*v**5 + 40*v**3 - 15*v**3 + 175 + x*v**2 - 5*v**4.
-5*(v - 1)**3*(v + 2)**2
Let l(i) be the third derivative of i**6/240 + 11*i**5/60 + 10*i**4/3 + 32*i**3 - 1204*i**2. Find u such that l(u) = 0.
-8, -6
Let r be 40/6*(-45)/30. Let c be 876/10*(-25)/r*3. Factor -45*v**3 + c*v - 33*v**3 - 6*v**3 - 708*v + 129*v**2 + 6.
-3*(v - 1)*(4*v - 1)*(7*v - 2)
Let o(v) be the first derivative of 8*v**5/5 - 121*v**4/2 - 68*v**3 + 281*v**2 - 124*v + 809. What is g in o(g) = 0?
-2, 1/4, 1, 31
Let l(d) = -d - 12. Let h be l(0). Let y(p) = 3*p**2 + 36*p + 6. Let o be y(h). Determine k, given that -39*k**2 - 2*k**3 - 3 + 7 + o*k + 39*k**2 = 0.
-1, 2
Let k(y) be the second derivative of 73*y - 3*y**2 - 1/30*y**4 + 8/15*y**3 + 0. Factor k(c).
-2*(c - 5)*(c - 3)/5
Let p = 160446/53 + -3027. Let d = p + 379/159. Factor 1/6*u**3 + 49/3 + d*u**2 + 77/6*u.
(u + 2)*(u + 7)**2/6
Let i(p) = -2*p**3 + 20*p**2 - 20*p + 22. Let l be i(9). Factor 8*c - c**2 - 24 + 20*c + l*c**2 - 2*c**2 - 5*c**2.
-4*(c - 6)*(c - 1)
Let a(q) be the second derivative of 3*q**5/20 - 7*q**4 - 195*q**3/2 - 459*q**2 + 295*q - 1. Factor a(p).
3*(p - 34)*(p + 3)**2
Let l(q) be the third derivative of 5/3*q**3 - 4/3*q**4 - 6*q**2 + 0 - 2*q + 3/5*q**5 + 1/105*q**7 - 2/15*q**6. Let l(o) = 0. What is o?
1, 5
Let q be 7*(-7)/(-18) - (-20)/(-1170)*13. Factor 0 + 0*f + 30*f**3 - 65/2*f**2 + q*f**4.
5*f**2*(f - 1)*(f + 13)/2
Let x(u) be the first derivative o