 271*o**5/5 - 201*o**4 + 5099*o**2. Determine p so that q(p) = 0.
-134, -3, 0
Let m(t) = 24*t**3 + 2075*t**2 + 8131*t + 8392. Let r(o) = -7*o**3 - 593*o**2 - 2323*o - 2400. Let i(j) = 5*m(j) + 17*r(j). Factor i(a).
(a + 2)**2*(a + 290)
Let i(g) be the second derivative of 1/84*g**4 + 0*g**3 + 0 + 1/420*g**5 - 5/2*g**2 - 7*g. Let q(j) be the first derivative of i(j). Find r such that q(r) = 0.
-2, 0
Factor -262/3*i + 2/3*i**2 + 260/3.
2*(i - 130)*(i - 1)/3
Let x(t) be the third derivative of t**6/360 - t**5/120 + 43*t**3/2 + 216*t**2. Let z(a) be the first derivative of x(a). Let z(i) = 0. Calculate i.
0, 1
Let q be 4640/5104*((-132)/20)/(-3). Suppose -4/15*k**q + 8/15*k**3 - 2/15*k**5 - 2/5*k + 4/15 + 0*k**4 = 0. Calculate k.
-2, -1, 1
Factor 1345/3*z - 1/3*z**2 + 0.
-z*(z - 1345)/3
Suppose -50 = 5*t - 5*q, 0 = 3008*q - 3015*q + 91. Suppose -192/5 + 9*a**2 + 144/5*a + 3/5*a**t = 0. Calculate a.
-8, 1
Factor 10/3 - 3*s - 11/3*s**2 + 1/3*s**4 + 3*s**3.
(s - 1)**2*(s + 1)*(s + 10)/3
Let j(l) be the first derivative of -12*l + 1/48*l**4 + 1/120*l**6 + 0*l**3 - 5 + 0*l**2 - 1/40*l**5. Let k(f) be the first derivative of j(f). Factor k(w).
w**2*(w - 1)**2/4
Factor 162/11*s**2 + 2/11*s**3 - 504/11*s + 0.
2*s*(s - 3)*(s + 84)/11
Let d(w) = -19299*w - 57893. Let x be d(-3). Factor -2/9*t**2 + 0*t - 2/9*t**3 + 2/9*t**5 + 0 + 2/9*t**x.
2*t**2*(t - 1)*(t + 1)**2/9
Let g(i) = 9*i**2 + 25*i + 19. Let z(n) = 13*n**2 + 37*n + 29. Let t(l) = -7*g(l) + 5*z(l). Factor t(w).
2*(w + 2)*(w + 3)
Let d(h) be the first derivative of 13*h**4/48 + h**3 - h**2/2 + 6*h + 60. Let a(k) be the first derivative of d(k). Suppose a(w) = 0. Calculate w.
-2, 2/13
Let n(a) = 76*a**4 + 1044*a**3 - 2188*a**2 + 1068*a - 32. Let o(d) = -7*d**4 - 95*d**3 + 199*d**2 - 97*d + 3. Let x(v) = -3*n(v) - 32*o(v). Factor x(w).
-4*w*(w - 1)**2*(w + 25)
Let u(y) = y**3 - 20*y**2 - 32*y + 233. Let q be u(21). Let z(t) be the third derivative of 0 - 1/120*t**5 - 1/4*t**3 - 1/12*t**4 - 27*t**q + 0*t. Factor z(o).
-(o + 1)*(o + 3)/2
Let x(r) be the first derivative of -2*r**3/3 + 445*r**2 - 888*r - 2625. Find j such that x(j) = 0.
1, 444
Let b(l) be the third derivative of -l**6/300 + 9*l**5/25 + 37*l**4/20 + 56*l**3/15 - 2*l**2 + 352*l. Factor b(d).
-2*(d - 56)*(d + 1)**2/5
Let z(y) = y**3 + 53*y**2 - 1651*y + 27. Let b be z(22). Solve -4/3*q**2 - 64/3*q - 28/3*q**b - 16/3 + 92/3*q**3 + 20/3*q**4 = 0.
-1, -2/7, 1, 2
Suppose -520 - 320 = -7*h. What is c in -1258*c**4 + 1259*c**4 - 11*c**3 + h*c**2 + 100*c + 32*c**3 = 0?
-10, -1, 0
Determine t, given that -224 + 4/5*t - 4/5*t**3 + 224*t**2 = 0.
-1, 1, 280
Suppose -272*t + 11712 = 94*t. Let m(k) be the first derivative of 5/17*k**2 + 100/17*k - t + 1/34*k**4 - 16/51*k**3. Find x such that m(x) = 0.
-2, 5
Solve 3*o**3 + 126*o + 19*o**2 + 12*o**2 + 29*o**2 - 6*o**2 - 378*o + 264 = 0.
-22, 2
Let t(z) be the first derivative of 5*z**3/3 + 110*z**2 + 800*z + 671. Factor t(w).
5*(w + 4)*(w + 40)
Let d = -77438 - -77440. Suppose 16/11 + 2/11*m**3 - 8/11*m + 2/11*m**4 - 12/11*m**d = 0. Calculate m.
-2, 1, 2
Let s = 372 - 356. Factor 1 + 12 + 11 - 26*b - 2*b**3 + s*b**2 - 12*b.
-2*(b - 4)*(b - 3)*(b - 1)
Let f(j) be the second derivative of -j**4/6 - 202*j**3/3 - 792*j**2 - 6135*j. Let f(x) = 0. Calculate x.
-198, -4
Let f(d) be the first derivative of d**4 + 1196*d**3/3 - 1178. Find m, given that f(m) = 0.
-299, 0
Let c(l) be the second derivative of l**6/6 + 3*l**5/2 + 10*l**4/3 - 409*l - 7. Solve c(q) = 0.
-4, -2, 0
Factor -546*h**2 - 85064/9 - 35770/9*h + 2/9*h**4 - 206/9*h**3.
2*(h - 124)*(h + 7)**3/9
Let s(w) be the first derivative of 2*w**3/3 - 101*w**2 + 3848. What is z in s(z) = 0?
0, 101
Determine m so that -43*m**2 + 39605 - 890*m - 36*m**2 + 152*m**2 - 33*m**2 - 35*m**2 = 0.
89
Let n be 10 + -18 + 42 - 9. Let q(c) be the third derivative of 0 - 5/6*c**6 + 0*c - n*c**2 + 32/3*c**3 + 8*c**5 - 14*c**4. Let q(x) = 0. What is x?
2/5, 4
Suppose 76*w + 3125 = 81*w. Let y = -1874/3 + w. Factor y*o**2 - 35/9*o - 4/3.
(o - 12)*(3*o + 1)/9
Let v(t) be the second derivative of -2*t**7/525 + t**6/50 - t**5/25 + t**4/30 + 12*t**2 - 29*t. Let s(m) be the first derivative of v(m). Solve s(k) = 0 for k.
0, 1
Let o be ((3/3)/((-2)/2))/(-1449 - -1447). Find t, given that 4/3*t - o*t**3 - 5/3*t**2 + 0 = 0.
-4, 0, 2/3
Let q(n) be the first derivative of 5*n**4 - 1172*n**3/3 + 2944*n**2 + 2544*n + 5302. Determine z so that q(z) = 0.
-2/5, 6, 53
Suppose -24*s - 15631 + 3511 = 0. Let n = s - -3543/7. Factor 0*v + 0 + 4/7*v**3 - n*v**2.
4*v**2*(v - 2)/7
Let o(g) = -g**4 - 3*g**3 - 1. Let j(m) = -m**4 - 75*m**3 - 450*m**2 - 32*m + 2398. Let i(b) = -j(b) + 2*o(b). Factor i(z).
-(z - 75)*(z - 2)*(z + 4)**2
Let h(o) = 3*o**2 + 122*o - 3. Let z(p) = -2*p**2 - 81*p + 2. Let d(a) = 5*h(a) + 8*z(a). Let i be d(-38). Factor -i - 2/3*c - 1/9*c**2.
-(c + 3)**2/9
What is t in 5349 - 5887 + 2*t**2 + 2*t**2 - 242*t + 15179 - 3*t**2 = 0?
121
Let p(o) = -o + 3. Let r be ((0*(-2)/(-6))/1)/(-2). Let c be p(r). Determine f so that f + 4*f**3 + 0*f + c*f - 8*f = 0.
-1, 0, 1
Let z(s) be the first derivative of s**6/2160 + 7*s**5/720 + 5*s**4/72 - s**3/3 - 2*s - 58. Let b(i) be the third derivative of z(i). Factor b(n).
(n + 2)*(n + 5)/6
Let u(t) be the first derivative of 44/3*t**2 + 121/9*t**3 + 16/3*t + 31. Determine l so that u(l) = 0.
-4/11
Let -179/11*g**2 + 0 + 1/11*g**3 - 180/11*g = 0. What is g?
-1, 0, 180
Let u(a) = -19*a**2 - 196*a - 58. Let s be u(-10). Let p be (-2 - -5) + 14/(-6). Factor -1/3*r**s - 1/3 + p*r.
-(r - 1)**2/3
Factor 3*i**5 - 2*i**5 - i**4 + 35*i**3 - 93*i**3 + 33*i**3 + 23*i**3.
i**3*(i - 2)*(i + 1)
Suppose 55*b = -21*b + 15*b - 67*b. What is p in -18/5*p + b - 2/5*p**2 = 0?
-9, 0
Factor 652/5*d + 102/5*d**2 - 23/5*d**3 + 728/5 - 1/5*d**4.
-(d - 7)*(d + 2)**2*(d + 26)/5
Suppose 8*i - 5*i - 24 = 0. Let w(d) = -d + 18. Let j be w(i). Factor -19*f - 33*f - 24 - j*f + 15*f**2 + 8*f.
3*(f - 4)*(5*f + 2)
Let b(w) be the second derivative of w**4/36 - 23*w**3/18 - 18*w**2 + 15*w - 35. Solve b(x) = 0.
-4, 27
Let l be (-2 - 50/20)*(-4)/6. Factor -2*m**l - 10*m**3 - 4*m**4 - 12*m**3 - 32*m**2.
-4*m**2*(m + 2)*(m + 4)
Solve 2310*s**3 - 250920*s**2 + 2*s**5 + 253370*s**2 - 138*s**4 + s + 2*s - 3*s = 0.
-1, 0, 35
Determine y so that -107*y**3 - 4*y**2 + 200*y**3 - 97*y**3 + 80*y = 0.
-5, 0, 4
Factor -27*d - 53/2 - 1/2*d**2.
-(d + 1)*(d + 53)/2
Let u(l) be the first derivative of 7*l**6/80 + 81*l**5/80 + 3*l**4 - 2*l**3 + 95*l - 15. Let c(k) be the first derivative of u(k). Let c(g) = 0. What is g?
-4, 0, 2/7
Let y(f) be the third derivative of -1/5*f**5 - f**4 - 14*f**2 + 0*f + 1/30*f**6 + 16/3*f**3 + 0. Determine x so that y(x) = 0.
-2, 1, 4
Suppose 500706*d = 500744*d + 2 - 78. Factor 22*y + 174/5*y**d + 18/5 + 18/5*y**3.
2*(y + 9)*(3*y + 1)**2/5
Let a(i) = -12*i**3 - 240*i**2 - 2349*i - 1995. Let w(b) = b**3 + 24*b**2 + 235*b + 200. Let q(c) = 2*a(c) + 21*w(c). Factor q(h).
-3*(h - 14)*(h + 1)*(h + 5)
Factor 2/7*z**2 - 1150/7*z + 164.
2*(z - 574)*(z - 1)/7
Determine y, given that -2*y**5 + 232*y**2 + 89*y**3 - 142969*y + 183*y**3 + 141913*y - 58*y**4 = 0.
-33, -2, 0, 2, 4
Let a be (-15*(-8)/(-48))/((-2)/(-212)). Let w = a + 265. Factor w + 10/9*x**2 + 2/3*x**4 + 14/9*x**3 + 2/9*x.
2*x*(x + 1)**2*(3*x + 1)/9
Let s = -603879/18815 + 1726/53. Let g = -5/71 + s. Solve -2/5*o**3 + 8/5 - g*o**2 + 8/5*o = 0 for o.
-2, -1, 2
Let c be (-608)/(-312) - -8*(-8)/(-1248). Let v be (9/(-108))/((-3)/9*1). Factor z + v*z**3 + 0 - 5/4*z**c.
z*(z - 4)*(z - 1)/4
Suppose -s - 2*j = -6, s - 25 = 5*j - 33. Factor -115*z**3 + s*z**4 - 108*z**3 - 102*z**3 + 353*z**3.
2*z**3*(z + 14)
Let f be (-1768)/4370 + (48/40)/3. Let g = 1301/2185 - f. Suppose 3/5*v - g*v**2 + 6/5 = 0. Calculate v.
-1, 2
Let w(u) be the second derivative of 1/90*u**5 + 15*u + 0*u**3 - 5/36*u**4 + 0 + 23/2*u**2. Let j(d) be the first derivative of w(d). Let j(m) = 0. What is m?
0, 5
Let b(x) be the first derivative of 5*x**4/4 - 50*x**3/3 + 80*x**2 - 160*x + 498. Factor b(q).
5*(q - 4)**2*(q - 2)
Let k = 213748 + -213746. Factor -1/9*j**k + 5/3 - 2/9*j.
-(j - 3)*(j + 5)/9
Let z be 6/(-20)*(-1020)/153. Let j(x) be the second derivative of 0*x**4 + 14*x + 0 + 3/2*x**3 + 3*x**z - 3/20*x**5. Solve j(v) = 0 for v.
-1, 2
Find v su