ne j, given that q(j) = 0.
-5/2, -1, 0, 2/3
Let w(v) = 4*v**3 + 276*v**2 - 1836*v + 3208. Let q(o) = 8*o**3 + 277*o**2 - 1835*o + 3210. Let t(h) = -4*q(h) + 5*w(h). Factor t(i).
-4*(i - 10)**2*(3*i - 8)
Let d(x) be the third derivative of -x**7/70 + 7*x**6/30 - 79*x**5/60 + 7*x**4/4 + 12*x**3 - 2*x**2 - 305. Find k such that d(k) = 0.
-2/3, 3, 4
Let u be (32/(-18))/(7/(-7133)). Let a = u + -1810. Factor -a + 2/9*s**2 - 4/3*s.
2*(s - 7)*(s + 1)/9
Let l(t) be the second derivative of 3*t**5/20 - 31*t**4/2 + 121*t**3/2 - 90*t**2 + 316*t + 3. Factor l(a).
3*(a - 60)*(a - 1)**2
Let n(u) be the first derivative of 4*u**3/3 - u**2/2 + u + 1. Let f be n(1). Factor 140 + 41*m + 39*m + f*m**2 + 203 + 57.
4*(m + 10)**2
Determine k so that 344*k - 169/2*k**2 - 1/2*k**3 - 346 = 0.
-173, 2
Determine q, given that 64980 + 4912*q**4 - 1640*q**4 - 1636*q**4 + 9015*q**2 + 73625*q - 1631*q**4 + 375*q**3 = 0.
-36, -19, -1
Let b(v) = 16*v**3 + 32*v**2 - 1014*v - 14382. Let h(c) = 14*c**3 + 36*c**2 - 1015*c - 14385. Let o(d) = -5*b(d) + 6*h(d). Factor o(m).
4*(m - 16)*(m + 15)**2
Suppose -223*b = -205*b. Let a(i) be the third derivative of 0*i + 5*i**2 - 1/45*i**3 - 1/30*i**4 + b - 4/225*i**5. Factor a(d).
-2*(2*d + 1)*(4*d + 1)/15
Let m(t) = -t**2 - 2*t - 2. Let z(d) = d**2 + 14*d + 123. Let n(u) = -10*m(u) - 5*z(u). Let n(h) = 0. Calculate h.
-7, 17
Let f(o) = -o**3 + o**2 + 6*o + 10. Let l be f(-3). Factor 4*m**5 - 7*m**3 - 25*m**3 + l*m**4 + 64*m - 28*m**4.
4*m*(m - 2)**2*(m + 2)**2
Let a = 10281 - 10277. Let g(m) be the first derivative of 31/10*m**2 + 4/5*m - 9 + 56/15*m**3 - 4/5*m**a. Determine r, given that g(r) = 0.
-1/4, 4
Suppose -8/3*l**5 + 62*l**2 + 118*l**4 - 92/3*l + 0 + 640/3*l**3 = 0. Calculate l.
-1, 0, 1/4, 46
Let t(f) be the first derivative of 2*f**3/9 + 446*f**2/3 + 99458*f/3 - 7751. Factor t(c).
2*(c + 223)**2/3
Let p(r) be the first derivative of 3/5*r**5 - 159/4*r**4 + 0*r**2 + 0*r**3 + 0*r - 131. Solve p(w) = 0 for w.
0, 53
Let a(b) be the third derivative of 5*b**8/48 + 11*b**7/42 - 57*b**6/4 + 171*b**5/2 - 1575*b**4/8 + 405*b**3/2 + 5*b**2 - 3*b. What is o in a(o) = 0?
-9, 3/7, 1, 3
Let k(q) = -33*q - 30. Let i be k(-1). Let h(o) be the first derivative of 0*o**2 + 0*o - 1/10*o**4 - 2/15*o**i + 16. Factor h(m).
-2*m**2*(m + 1)/5
Let h(x) = -5*x - 90. Let v be h(-21). Determine l, given that -10 + 34*l + 5*l**3 - 7*l - 10*l**2 + 15*l**2 - 14*l**3 + 2*l**4 - v*l**2 = 0.
-2, 1/2, 1, 5
Let g(q) = 16*q**3 + 27*q**2 + 79*q - 38. Let w(t) = -5*t**3 - 8*t**2 - 27*t + 12. Let o(d) = 6*g(d) + 19*w(d). What is n in o(n) = 0?
-13, 0, 3
Suppose -6067*b**2 - 6072*b**2 - 6075*b**2 - 3805*b - 3810 + 18219*b**2 = 0. What is b?
-1, 762
Let o(z) = -z**2 - 30*z - 243. Let j be o(-19). Let g = j + 34. Solve 0*b + g - 1/2*b**3 - b**2 = 0.
-2, 0
Factor -1080 - 113*u**2 + 1324*u**3 - 1328*u**3 - 31*u**2 - 756*u.
-4*(u + 3)**2*(u + 30)
Factor 1/4*h**4 - 18*h - 9/2*h**2 + 11/4*h**3 + 0.
h*(h - 3)*(h + 2)*(h + 12)/4
Let h(w) be the second derivative of w**4/3 - 52*w**3/3 - 112*w**2 + 1355*w. Suppose h(x) = 0. Calculate x.
-2, 28
Suppose 60*t - 242 = 598. Suppose 5*r = 5*q + 30, -t*q + 18 = r - 18*q. Find j such that -4/3 - 2/3*j + 2/3*j**r = 0.
-1, 2
Let j be (-1602)/(-1513)*(-4)/((-16)/4). Factor 20/17 + j*f**2 - 94/17*f.
2*(f - 5)*(9*f - 2)/17
Let c be 8 + 157 - (0/(-4) + -5). Let u be (-2)/10*(c - 186). Solve -4/5*f**3 + 3/5*f**4 + u*f - 4/5 - 11/5*f**2 = 0.
-2, 1/3, 1, 2
Let w(y) = 10*y**4 + 528*y**3 + 2571*y**2 + 3568*y + 1527. Let s(o) = 8*o**4 + 528*o**3 + 2570*o**2 + 3568*o + 1526. Let p(i) = 3*s(i) - 2*w(i). Factor p(u).
4*(u + 1)**2*(u + 3)*(u + 127)
Suppose 51 = 16*f - 13. What is i in 2*i**2 - i**3 + f + 11473*i - 11480*i + 2*i**3 = 0?
-4, 1
Let x(u) = -10*u**2 - 222*u + 493. Let c(n) = -23*n**2 - 17*n**2 - 110*n - 15*n**2 + 245 + 50*n**2. Let v(s) = 9*c(s) - 5*x(s). Factor v(a).
5*(a - 2)*(a + 26)
Let k(z) = 416*z**2 + 782*z - 14. Let h(b) = 89*b**2 + 156*b - 3. Let r(j) = 14*h(j) - 3*k(j). Factor r(x).
-2*x*(x + 81)
Suppose -133*k + 111*k - 2816 = 0. Let i be 2*(-23)/(2024/k). What is p in -i*p - 36/11*p**2 - 16/11*p**3 - 10/11 - 2/11*p**4 = 0?
-5, -1
Factor -2814 - 1419/2*u**2 - 3/2*u**3 - 2820*u.
-3*(u + 2)**2*(u + 469)/2
Let y(l) be the third derivative of -l**7/1785 + 97*l**6/1020 - 456*l**5/85 + 4532*l**4/51 - 15488*l**3/51 + 3099*l**2. Find a such that y(a) = 0.
1, 8, 44
Solve 7/2*l**3 + 33/2*l + 1/2*l**4 - 41/2*l**2 + 0 = 0.
-11, 0, 1, 3
Find y such that 17/6*y + 1 + 2/3*y**3 + 5/2*y**2 = 0.
-2, -1, -3/4
Let u(s) be the third derivative of s**6/24 + 13*s**5/2 - 395*s**4/24 + 3317*s**2. Factor u(d).
5*d*(d - 1)*(d + 79)
Let y(j) be the first derivative of 3*j**5/25 - 6*j**4/5 + 3*j**3 - 1317. Let y(w) = 0. Calculate w.
0, 3, 5
Let y(h) be the first derivative of -h**6/15 + 256*h**5/25 - 1983*h**4/5 - 3328*h**3/3 - 845*h**2 - 186. Factor y(p).
-2*p*(p - 65)**2*(p + 1)**2/5
Let u(q) be the third derivative of -1/20*q**5 + 0*q**3 - 1/40*q**6 + 1/35*q**7 + 0*q + 1 + 0*q**4 + 20*q**2. Factor u(o).
3*o**2*(o - 1)*(2*o + 1)
Let h be 24*(-4)/(-132)*6435/702. Let 16 - 2/3*x**2 - h*x = 0. Calculate x.
-12, 2
Let k(l) be the third derivative of l**5/4 + 5*l**4/12 - 25*l**3/6 - 73*l**2 - 13*l. Factor k(b).
5*(b - 1)*(3*b + 5)
Let k(l) = 80*l + 560. Let z be k(-7). Suppose z = -93*u + 76*u + 34. Find r such that -3/7*r**u + 0 + 27/7*r = 0.
0, 9
Let t(i) be the first derivative of -i**6/18 + i**5/5 + 22*i**4/3 + 1892. Find z, given that t(z) = 0.
-8, 0, 11
Factor -13826598912 - 4*s**3 - 18144*s**2 + 347096*s - 23326687*s - 4454137*s.
-4*(s + 1512)**3
Let r(t) be the third derivative of -t**2 - 3 + 0*t**3 + 0*t**4 - 1/5*t**6 + 2/105*t**7 - 16/15*t**5 + 0*t. Solve r(y) = 0 for y.
-2, 0, 8
Factor -694/15*g + 2/15*g**3 + 344/15*g**2 + 116/5.
2*(g - 1)**2*(g + 174)/15
Let w be (-32120)/(-85) + (-4)/(-34). Let f be (-1)/(-4) - (w/24)/(-9). Determine d so that -15*d**f + 9*d - 9*d**4 + 18 - 42*d**3 - 5 + 11 + 33*d = 0.
-4, -1, -2/3, 1
Let c be (6/8)/((-434)/(-56) + -7). Let w be 0 - c - ((-27)/(-5))/(-1). What is z in 14/15*z**2 - 4/3 - w*z = 0?
-2/7, 5
Let a(d) be the first derivative of -25/4*d**4 - 13/4*d**5 - 2*d - 35/6*d**3 - 5/2*d**2 - 2/3*d**6 + 7. Let f(r) be the first derivative of a(r). Factor f(w).
-5*(w + 1)**3*(4*w + 1)
Let p(m) be the third derivative of -m**5/15 + 163*m**4/6 + 328*m**3/3 - 5*m**2 + 35. Factor p(c).
-4*(c - 164)*(c + 1)
Let f(j) = -j. Let h(q) = 4*q**2 - 20*q + 2. Suppose -4*o = 3*l + 17, 7 - 1 = -2*l. Let y(x) = o*h(x) + 28*f(x). Factor y(b).
-4*(b - 1)*(2*b - 1)
Let x(d) be the first derivative of 2 - 3/4*d**4 - 1/30*d**6 + 7/6*d**3 - d**2 + 37*d + 1/4*d**5. Let g(n) be the first derivative of x(n). Factor g(k).
-(k - 2)*(k - 1)**3
Let u(o) be the second derivative of -o**3 - 3/20*o**5 - 3/4*o**4 + 0*o**2 - 2*o - 2. Factor u(y).
-3*y*(y + 1)*(y + 2)
Let j(o) be the first derivative of -20*o**6 + 28*o**5/5 + 51*o**4 - 20*o**3/3 - 42*o**2 - 8*o + 2910. Solve j(i) = 0 for i.
-1, -2/3, -1/10, 1
Let y(h) be the second derivative of -h**6/150 - 4*h**5/75 - h**4/10 - 89*h**2/2 + 150*h. Let g(v) be the first derivative of y(v). Factor g(o).
-4*o*(o + 1)*(o + 3)/5
Let k = -30 + 122. Factor -171*a + 4*a**2 + k*a + 2916 - 137*a.
4*(a - 27)**2
Suppose 0 = -2*h + 10, 3*o - 2*h - 33 - 5 = 0. Suppose -2*s - 4*n = o, 4*s - 3*n - 17 = 3*s. Suppose 0 - 1/5*w**3 + 2/5*w**s - 1/5*w = 0. What is w?
0, 1
Let x(s) be the third derivative of 1/12*s**5 + 5/3*s**3 + 48*s**2 - 5/8*s**4 + 0*s + 0. Factor x(c).
5*(c - 2)*(c - 1)
Let x be -9 + 0 - ((-194)/6)/(3 - -9 - 9). Factor 2/9*d**2 - x + 14/9*d.
2*(d - 1)*(d + 8)/9
Suppose 5*k - 18 = w, -4*w + 5*k = 18 - 6. Let u be 134/804 + (-1)/(-6)*17. Let 2*h**2 - 4*h**w + 20*h**u - 21*h**3 = 0. Calculate h.
-2, 0
Let w(d) = 2*d**2 + 30*d + 97. Let l be w(-10). Let h be (2/(-4))/((-9)/94) + l. Solve 0 + 8/9*p**2 - 20/9*p**5 + 0*p - 8/9*p**4 + h*p**3 = 0.
-1, -2/5, 0, 1
Let d be (144/(-40))/(-18 + 0 + 19 - (-11)/(-5)). Suppose 1/4*p**5 - 1/2*p - 3/4*p**d + 1/4*p**4 + 0 - 5/4*p**2 = 0. What is p?
-1, 0, 2
Factor -27/2*m + 1/2*m**2 - 14.
(m - 28)*(m + 1)/2
Let y(p) be the third derivative of p**5/20 + 27*p**4/2 - 333*p**3/2 - 12*p**2 + 31. Factor y(m).
3*(m - 3)*(m + 111)
Let m(d) be the first derivative of 136900*d