he first derivative of z**7/1680 + 23*z**6/360 + 118*z**3/3 + 193. Let b(f) be the third derivative of y(f). Factor b(n).
n**2*(n + 46)/2
Suppose -11*p + 867 = -277. Factor -18 + 84 + p*l + 2*l**2 - 36*l.
2*(l + 1)*(l + 33)
Let y(d) be the second derivative of -d**6/10 + 27*d**5/10 - 5*d**4/4 - 372*d**3 - 1080*d**2 - 3104*d. Factor y(r).
-3*(r - 12)**2*(r + 1)*(r + 5)
Let s = -137402 - -1236646/9. Solve 0 + s*f - 2/9*f**2 = 0.
0, 14
Let t(r) be the second derivative of 0 + 1/90*r**6 - 18*r + 0*r**2 + 1/18*r**4 + 4/9*r**3 - 1/12*r**5. Factor t(w).
w*(w - 4)*(w - 2)*(w + 1)/3
Suppose -3*m + 2*s + 7 = 0, -3*s - 4 = -3*m + 2*s. Find v, given that -12 + 43*v**3 - 90*v**m + 14*v + 45*v**3 = 0.
-3, 1, 2
Let d(w) be the second derivative of -13/70*w**5 - 5/21*w**4 + 0*w**2 + 0*w**3 + 2*w - 4/105*w**6 - 10. Factor d(b).
-2*b**2*(b + 2)*(4*b + 5)/7
Let i(l) be the second derivative of 17*l**3/3 - 99*l**2/2 - 2*l + 24. Let z be i(3). Suppose -2/5*n**z + 0 + 2/5*n**2 + 0*n = 0. What is n?
0, 1
Factor 227/7*d**2 - 1/7*d**5 - 71/7*d**3 + 148/7 - 75/7*d**4 + 372/7*d.
-(d - 2)*(d + 1)**3*(d + 74)/7
Let s(f) be the first derivative of 189 + 1/8*f**4 - 13/2*f**3 + 0*f**2 + 0*f. Factor s(p).
p**2*(p - 39)/2
Let q(a) be the first derivative of 6*a + 17 - a**2 - 1/16*a**4 + 1/40*a**5 + 0*a**3. Let z(n) be the second derivative of q(n). Factor z(i).
3*i*(i - 1)/2
Let f(t) = -t**3 - 16*t**2 + 38*t + 41. Let w be f(-18). Suppose 30*i**4 + 2*i + 60*i**2 + 3*i**3 - w*i**5 - 22*i - 68*i**3 = 0. Calculate i.
0, 1, 2
Determine w so that -4*w - 94314*w**2 - 25*w**3 + 5*w**4 + 70 + 29*w + 94239*w**2 = 0.
-2, -1, 1, 7
Let c(v) be the first derivative of 2*v**3/9 + 31*v**2/3 - 64*v/3 + 361. Factor c(k).
2*(k - 1)*(k + 32)/3
Factor -363/2*j + 1331 + 0*j**2 + 1/2*j**3.
(j - 11)**2*(j + 22)/2
Let i(h) be the second derivative of h**4/102 - 432*h**3/17 + 419904*h**2/17 + 3006*h + 2. Factor i(p).
2*(p - 648)**2/17
Let f(j) = 4*j**4 - 5*j**3 - 12*j**2 - 7*j + 8. Let k(i) = 3*i**4 - 3*i**3 - 10*i**2 - 6*i + 8. Let a(h) = -2*f(h) + 3*k(h). Factor a(n).
(n - 2)*(n - 1)*(n + 2)**2
Suppose 0 = 5*i + 4*n - 296, -2*i - 2*i - 5*n + 235 = 0. Factor 280*f**2 + 44*f**3 + 126*f + 2*f**4 + i*f + 214*f.
2*f*(f + 2)*(f + 10)**2
Let j(l) be the first derivative of -16/3*l - 4/3*l**2 + 19 + 1/6*l**4 + 4/9*l**3. Factor j(i).
2*(i - 2)*(i + 2)**2/3
Suppose -5*f = -j + 29, -5*j + 496*f - 491*f + 45 = 0. Find c such that c**j - 11/2*c**5 + 22*c**3 + 0 + 0*c - 4*c**2 = 0.
-2, 0, 2/11, 2
Suppose -9 - 7 = -8*o. Factor o*x**3 + 6*x**3 - 4*x**3 + 8 - 12*x.
4*(x - 1)**2*(x + 2)
Let s be 2457/63 + -29 - (12 - 4). Let -8/3 + 10/9*y**s + 16/9*y - 2/9*y**3 = 0. What is y?
-2, 1, 6
Factor 4/3*j**2 - 71 + 851/3*j.
(j + 213)*(4*j - 1)/3
Let i(m) be the first derivative of -61 - 85/3*m**3 + 25*m - 15/4*m**4 - 45/2*m**2. Find q, given that i(q) = 0.
-5, -1, 1/3
Let v = 1192583/3 - 397461. Factor -26*g**2 - 4/3*g**3 + v - 120*g.
-2*(g + 10)**2*(2*g - 1)/3
Let h(v) = 2*v**2 + 28*v - 27. Let r be h(-15). Let t(c) be the second derivative of -2/3*c**r + 8*c + 1/3*c**4 - 12*c**2 + 0. Factor t(q).
4*(q - 3)*(q + 2)
Let h(k) be the second derivative of k**7/189 + 128*k**6/135 + 1277*k**5/30 - 946*k**4/3 + 484*k**3 - 1498*k + 2. Determine i so that h(i) = 0.
-66, 0, 1, 3
Let o(j) = -79*j - 644*j**2 + 36 + 639*j**2 - 132. Let f(l) = l**2 + 16*l + 19. Let r(p) = -11*f(p) - 2*o(p). Factor r(u).
-(u + 1)*(u + 17)
Let t(g) be the second derivative of 6*g**2 - 1/6*g**4 + 8 - 5/3*g**3 - 6*g. Find i such that t(i) = 0.
-6, 1
Let n(u) be the second derivative of 21/160*u**5 - 1/16*u**4 + 69*u - 7/4*u**3 + 0 + 3/2*u**2. Let n(o) = 0. Calculate o.
-2, 2/7, 2
Let w be ((-23)/(-2))/(36/72). Let p(o) = 3*o - 67. Let t be p(w). Find l, given that -2/5*l**t - 4/5 + 6/5*l = 0.
1, 2
Factor -36323 - 15130*n + 4639 + 195*n**2 + 320*n**2 - 2*n**3 - 163*n**2.
-2*(n - 89)**2*(n + 2)
Suppose -39 = -5*g + 121. Factor -96*x**2 - g - 48*x**2 + 96*x + 8*x**4 + 28*x + 44*x**3 + 0*x.
4*(x - 1)**2*(x + 8)*(2*x - 1)
Solve -128/3*f + 10*f**2 + f**3 - 1/3*f**4 + 32 = 0 for f.
-6, 1, 4
Determine j, given that -96*j + 892*j**2 - 1735*j**2 + 825*j**2 + 2*j**3 - 104 = 0.
-2, 13
Let n(j) be the third derivative of 0*j - 1/720*j**6 - 53*j**2 - 1/360*j**5 + 0*j**4 + 0 + 0*j**3. Find m, given that n(m) = 0.
-1, 0
Let j(t) = -t**3 + 31*t**2 + 102*t + 3. Suppose 54 = d - 5*h, 5*h - 61 + 13 = -2*d. Let z be j(d). Factor 0*c**2 + 4/5*c**4 + 4/5*c**z + 0*c + 0.
4*c**3*(c + 1)/5
Let f(v) be the second derivative of v**7/294 - v**6/15 + 41*v**5/140 - v**4/21 - 10*v**3/7 - 39*v - 29. Suppose f(n) = 0. Calculate n.
-1, 0, 2, 3, 10
Let o = -237 - -240. Let 4081*j + 117*j**3 + 0*j**4 + 2510*j - 1521*j**2 - o*j**4 = 0. Calculate j.
0, 13
Find x such that 358*x - 529*x - 4*x**3 - 1856 + 116*x**2 + 235*x = 0.
-4, 4, 29
Let q(r) = 27*r**3 - 164*r**2 - 387*r - 163. Let t(v) = -5*v**3 + 33*v**2 + 77*v + 33. Let p(w) = 2*q(w) + 11*t(w). Factor p(d).
-(d - 37)*(d + 1)**2
Suppose 48*q = -4*v + 50*q + 22, 7 = v - q. Let m(t) be the second derivative of -10*t + 0*t**2 + 1/72*t**v + 1/60*t**6 + 0*t**3 + 0 - 1/30*t**5. Factor m(y).
y**2*(y - 1)*(3*y - 1)/6
Let c(z) be the third derivative of z**6/140 - 4*z**5/35 - 3*z**4/4 + 108*z**3/7 + 1042*z**2. Suppose c(w) = 0. What is w?
-4, 3, 9
Suppose i = -2*i - 2*m + 63, -63 = -3*i + 4*m. Let o = i - 16. Solve 3*u**3 - o*u**2 + 9*u**2 - 8*u + u**3 = 0.
-2, 0, 1
Let p(l) be the third derivative of -l**5/90 + 13*l**4/18 - 2*l**2 - 94. Solve p(a) = 0 for a.
0, 26
Let s(b) = -3*b**2 - 20*b - 8. Let h be s(-6). Determine d so that 2*d + 106*d**2 - 112*d**2 - h*d = 0.
-1/3, 0
Let j be (-2 - -4)/(-1)*-11. Suppose -5*x - 3*t + 6*t = -28, 5*x = -3*t + j. Determine o so that 4*o**3 + 7*o**3 + x + 0*o**3 - 15*o - 5*o**2 + 4*o**3 = 0.
-1, 1/3, 1
Let q(f) be the second derivative of -7/3*f**3 - 81*f + 0*f**4 + 20/3*f**2 + 0 + 1/30*f**5. Factor q(g).
2*(g - 4)*(g - 1)*(g + 5)/3
Suppose -73*q = -3*q - 420. Let p(n) be the third derivative of 0*n + 1/300*n**5 + 0 + 0*n**3 - 11*n**2 + 1/600*n**q + 0*n**4. Find r, given that p(r) = 0.
-1, 0
Let l(b) be the first derivative of b**8/560 - b**6/20 - b**5/5 - 3*b**4/8 + 69*b**3 - 74. Let q(g) be the third derivative of l(g). What is m in q(m) = 0?
-1, 3
Let l(s) be the third derivative of 0*s + 4/21*s**3 + 0 - 132*s**2 + 11/735*s**7 - 1/14*s**5 - 2/21*s**4 + 23/420*s**6 - 5/392*s**8. Solve l(r) = 0 for r.
-1, -2/3, 2/5, 1
Let b be 1/(7/(-25))*-13. Let t = 2041/42 - b. Factor 6 + t*a**2 - 1/6*a**3 - 8*a.
-(a - 6)**2*(a - 1)/6
Factor 1/3*w**4 - 21951158/3*w + 78680*w**2 - 842/3*w**3 - 22188041/3.
(w - 281)**3*(w + 1)/3
Factor -2523/2*i**2 - 17724*i - 1176 - 45/2*i**3.
-3*(i + 28)**2*(15*i + 1)/2
Let w(c) be the first derivative of 32/5*c - 246 + 22/5*c**3 + 2/25*c**5 - 8*c**2 - c**4. Find t such that w(t) = 0.
1, 4
Let l(s) = -5*s - 11 + 3 + 5 + s**2. Let v be l(6). Factor 61*m - 34*m - 24*m + 3*m**3 - 3*m**2 - v*m**2.
3*m*(m - 1)**2
Let g be ((-1)/2)/(10/(-540)). Let k = 30 - g. Factor 4*r - 2*r + k*r**2 + 3 - 8*r.
3*(r - 1)**2
Let r(k) = k**3 - 18*k**2 - 47*k + 122. Let j be r(20). Let y be j/30*((-85)/(-45) - 3). Factor 0*f**2 - f - y + 1/3*f**3.
(f - 2)*(f + 1)**2/3
Suppose -41 = -g + 22. Let v be 1*((16/30)/(-4) + 6486/2070). Suppose -g*y**2 - 3*y**v - 3*y**4 + 60*y**2 + 3*y**5 + 6*y**4 = 0. Calculate y.
-1, 0, 1
Suppose i + 4*a = 72, -753*i - 5*a - 207 = -760*i. Let -24*c**3 - 15/2*c + 0 + i*c**2 = 0. What is c?
0, 1/4, 5/4
Factor 2/7*h**2 - 1612/7*h + 324818/7.
2*(h - 403)**2/7
Let q(k) = 40*k - 224. Let f be q(5). Let x be (f/9 + 3)*3*2. Factor 8/13*v**3 - 6/13*v**x + 6/13 - 8/13*v.
2*(v - 1)*(v + 1)*(4*v - 3)/13
Let c(y) be the second derivative of 0*y**2 + 0*y**4 - 1/14*y**7 - 2*y**3 + 0 + 0*y**6 - 23*y + 3/4*y**5. Solve c(t) = 0.
-2, -1, 0, 1, 2
Let b(h) be the second derivative of -h**4/60 + 157*h**3/30 + 79*h**2/5 + 18*h - 47. Factor b(j).
-(j - 158)*(j + 1)/5
Factor 9218204 - 20301148*m - 6514*m**2 - 11801*m**2 + 3520033*m - 5*m**3 - 25981009.
-5*(m + 1)*(m + 1831)**2
Let k be (-1539)/(-330) - 567/1890. Factor -6/11*a**3 - 42/11*a**2 - k - 84/11*a.
-6*(a + 1)*(a + 2)*(a + 4)/11
Let i(s) = -29*s**2 - 1. Let u be i(-1). Let m be (-36)/105*u/12. Find d such that -4/21 - m*d - 20/21*d**2 - 2/7*d**3 = 0.
-