nd d such that m(d) = 0.
-2, -1, 0, 7
Factor -279/2*k - 3/2*k**2 + 735.
-3*(k - 5)*(k + 98)/2
Suppose 130/3*t**3 + 2/3*t**5 + 0 - 136/3*t**4 + 268/3*t**2 + 0*t = 0. Calculate t.
-1, 0, 2, 67
Suppose -3*t - 11 = 2*g + 1, -3*t = g + 9. Let f be 6 + (9/6)/(g/8). Factor 0*v - 1/7 + 1/7*v**f.
(v - 1)*(v + 1)/7
Factor -98 - 91/4*x**3 - 4445*x + 1273/2*x**2.
-(x - 14)**2*(91*x + 2)/4
Let o(m) be the third derivative of -m**5/30 - 1849*m**4/6 - 3418801*m**3/3 + 45*m**2 - m + 3. Find a such that o(a) = 0.
-1849
Let i(a) = 12*a + 41. Let t be i(-2). Suppose 4*u - 4*j = -t + 61, 21 = u - 3*j. Determine s, given that -6 + u*s - 3/2*s**2 = 0.
2
Suppose -3*r = 3, -2*l + 6 + 2 = -4*r. Find o, given that 126 + 36*o - 138 + 9*o**4 - 26*o**3 - 4*o**3 + 9*o**l = 0.
-1, 1/3, 2
Solve -3/2*w**4 - 552 - 702*w**2 + 1110*w + 291/2*w**3 = 0 for w.
1, 2, 92
Let h(r) be the second derivative of 5/24*r**3 + 5/48*r**4 + 121*r - 1/16*r**5 - 5/8*r**2 + 0. Factor h(f).
-5*(f - 1)**2*(f + 1)/4
Suppose -24*n + 23*n + c + 10 = 0, -18*n = 5*c - 134. Let w(y) be the first derivative of 676*y - 52*y**2 + n + 4/3*y**3. What is g in w(g) = 0?
13
Let l = -64169 - -192511/3. Solve -16/3*h**2 + 28/3*h + 40/3 - l*h**3 = 0 for h.
-5, -1, 2
Determine u so that -320*u - 2117 - 40*u + 55*u**2 + 5*u**3 + 91 + 1126 = 0.
-15, -2, 6
Let q(j) = -26*j**2 + 91*j + 205. Let d(w) = 15*w**2 - 45*w - 100. Let h(m) = -9*d(m) - 5*q(m). Factor h(z).
-5*(z + 5)**2
Suppose 426*q - 431*q = -130. Solve -12*p**5 - 9*p**5 + q*p**5 - 30*p**3 + 40*p**2 - 15*p = 0 for p.
-3, 0, 1
Let 196/3 - 2/3*f**2 - 94/3*f = 0. What is f?
-49, 2
Let m(d) = -14*d**2 - 294*d + 564. Let o(z) = -11*z**2 - 292*z + 564. Let u(v) = 4*m(v) - 5*o(v). Factor u(q).
-(q - 282)*(q - 2)
Let r(x) = 5*x**3 + 5*x**2 + 124*x + 118. Let w(n) = -3*n**3 - 5*n**2 - 122*n - 116. Let g(i) = -2*r(i) - 3*w(i). Factor g(v).
-(v - 14)*(v + 1)*(v + 8)
Let -34*r**2 + 2235*r**2 + 5*r**3 + 1848015*r + 216217755 + 3064*r**2 = 0. What is r?
-351
Let x(o) = -2*o**2 - 22*o + 2. Let b be x(-11). Let g = -1576/9 - -6313/36. Factor 0*u - 3/4*u**b + 0 - g*u**3.
-u**2*(u + 3)/4
Let f(v) be the second derivative of -v**6/180 + v**5/15 + v**4 - 9*v**3/2 + v**2 + 4*v + 11. Let u(o) be the second derivative of f(o). Factor u(k).
-2*(k - 6)*(k + 2)
Let s = -4894/5 + 4896/5. Let m(h) be the first derivative of 0*h**4 - 1/6*h**6 + 0*h + s*h**5 + 1/2*h**2 - 17 - 2/3*h**3. Find y, given that m(y) = 0.
-1, 0, 1
Let i(u) be the third derivative of 1/4*u**4 + 1/2*u**3 + 0 + 0*u - 3/40*u**5 + 1/120*u**6 + 13*u**2. Let w(q) be the first derivative of i(q). Factor w(g).
3*(g - 2)*(g - 1)
Let f = -16 - -19. Suppose 0 = f*s - 3*v - 54, 0 = -3*s + 4*s + v - 8. What is w in 5*w**2 + 10 - s*w + 7*w - 8*w - w = 0?
1, 2
Find b, given that -1114/5*b**2 - 154568/5 - 31136*b - 2/5*b**3 = 0.
-278, -1
Suppose -64/7*h + 0 - 2/7*h**2 = 0. What is h?
-32, 0
Let j be 375 + ((-15)/(-9))/(40/16). Let v = -375 + j. Suppose -4/3*d**2 + 2/3 + 0*d + v*d**4 + 0*d**3 = 0. Calculate d.
-1, 1
Let -3273 - 4*d**3 + 264*d**2 + 3273 - 512*d = 0. What is d?
0, 2, 64
Let j(d) be the first derivative of -4*d**3 + 2*d**2 + 4/5*d**5 + 8*d - d**4 + 103. Determine f, given that j(f) = 0.
-1, 1, 2
Let c = -4064 - -4069. Let h(w) be the first derivative of 0*w - 16 + 3/40*w**c + 3/8*w**3 - 9/32*w**4 - 3/16*w**2. Factor h(y).
3*y*(y - 1)**3/8
Let o(s) = -4*s**2 + 78*s + 92. Let j be o(23). Let c = j + 230. Determine p so that -1/4*p**3 - 3/4*p**2 + 3/4*p**4 + c + 1/2*p - 1/4*p**5 = 0.
-1, 0, 1, 2
Let c(n) be the first derivative of n**4/10 - 88*n**3/15 - 636*n**2/5 - 4032*n/5 - 2564. Solve c(t) = 0.
-6, 56
Suppose -348 + 338 = 3*y - 5*d, 0 = 4*y - d + 2. Solve 2/9*p**4 - 4/9*p**2 + 0*p + y + 2/9*p**3 = 0.
-2, 0, 1
Find m such that -106*m + 49*m + 3*m**4 + m**4 + 41*m + 184*m**3 - 275 + 516*m**2 - 413 = 0.
-43, -2, 1
Let v(u) be the third derivative of u**9/3024 - u**7/120 - u**6/60 - 11*u**3/6 + 145*u**2. Let f(d) be the first derivative of v(d). Let f(p) = 0. Calculate p.
-2, -1, 0, 3
Let a(u) be the first derivative of -u**6/10 + 162*u**5/25 - 1371*u**4/10 + 3724*u**3/5 + 55233*u**2/10 + 41154*u/5 - 843. Let a(x) = 0. What is x?
-2, -1, 19
Let i(b) be the first derivative of 25*b**3 + 5*b**2 + 221 + 0*b + 135/4*b**4. Factor i(g).
5*g*(3*g + 1)*(9*g + 2)
Let w(g) = -7*g**3 - 1514*g**2 - 441*g - 1941. Let k be w(-216). Factor 0*c - 1/3*c**k + 1/9*c**5 - 2/9*c**4 + 0*c**2 + 0.
c**3*(c - 3)*(c + 1)/9
Let a(t) be the first derivative of t**8/5880 - t**7/420 + 11*t**6/1260 - t**5/84 - 29*t**3/3 + 113. Let b(q) be the third derivative of a(q). Factor b(p).
2*p*(p - 5)*(p - 1)**2/7
Let d(z) be the first derivative of -2*z**3/27 + 79*z**2/9 - 52*z/3 + 934. What is h in d(h) = 0?
1, 78
Let v(k) = 80*k**2 + 3 + k + 32 + k + 33*k. Let l(c) = -9*c**2 - 6*c - 7 + 3 + 2*c. Let t(b) = 35*l(b) + 4*v(b). Find w such that t(w) = 0.
0
Let x(b) be the first derivative of -2*b**3/51 + 21*b**2/17 + 260*b/17 - 1169. Factor x(u).
-2*(u - 26)*(u + 5)/17
Let i(d) = -d**3 - 147*d**2 - 550*d. Let f(r) = -20*r**3 - 3090*r**2 - 11550*r. Let h(t) = 4*f(t) - 85*i(t). Factor h(k).
5*k*(k + 5)*(k + 22)
Let n(w) = -w**3 - 19*w**2 - w - 26. Let g be n(-19). Let q be (-4)/(-7) + (-24)/g. Factor -8*a**4 - q*a**3 - 4*a**2 - 6*a**3 + 4*a - 2*a**5 - 4*a.
-2*a**2*(a + 1)**2*(a + 2)
Let f(u) be the first derivative of -u**9/13608 + u**7/1260 + u**6/810 + 13*u**3/3 - 35. Let y(z) be the third derivative of f(z). Factor y(r).
-2*r**2*(r - 2)*(r + 1)**2/9
Let i = -418 - -413. Let x be 2/i + 747/(-495) + 2. Find r, given that -1/11*r**2 + 1/11 - x*r**3 + 1/11*r = 0.
-1, 1
Let 680/3*y**2 - 170/3*y**4 + 0 + 548/3*y**3 - 42*y**5 - 176/3*y = 0. Calculate y.
-2, -11/7, 0, 2/9, 2
Suppose -2*y - 2*y - 6*z + z = 0, 0 = 2*z. What is m in 100 - 4*m**3 - 36*m**2 - 36*m - 24*m + y*m = 0?
-5, 1
Let a = 50873 + -50848. Determine j so that 5/2*j**2 + 45/2 + a*j = 0.
-9, -1
What is l in 5456/17*l**3 + 10/17*l**5 - 12080/17*l**2 - 2656/17 - 894/17*l**4 + 10656/17*l = 0?
2/5, 2, 83
Let i(b) be the first derivative of 16*b**5/5 + 7*b**4 - 184*b**3/3 - 74*b**2 + 48*b + 8065. Find u such that i(u) = 0.
-4, -1, 1/4, 3
Let i = 469 - 327. Let g = -139 + i. What is y in 0*y + 3/2*y**5 - g*y**2 + 0 + 3*y**4 - 3/2*y**3 = 0?
-2, -1, 0, 1
Let d(v) = -6*v**2 + 998*v - 123008. Let r(b) = -38*b**2 + 5991*b - 738048. Let g(c) = 13*d(c) - 2*r(c). Factor g(w).
-2*(w - 248)**2
Let 2661 - 3078 - o**4 + 84*o**3 - 492*o**3 - 1134*o**2 - 108*o**2 + 4*o**4 - 1248*o = 0. What is o?
-1, 139
Let l = 295267 + -295265. Suppose 0 + 2/9*o**4 + 8/9*o**3 + 4/9*o + 10/9*o**l = 0. What is o?
-2, -1, 0
Let h be (-53179)/313110 - 6/(-28). Let l(i) be the first derivative of 0*i + h*i**3 + 22 - 4/15*i**2. Find o, given that l(o) = 0.
0, 4
Let h(z) be the second derivative of z**5/10 - 2355*z**4/2 + 5546025*z**3 - 13060888875*z**2 + 3529*z. Let h(o) = 0. What is o?
2355
Suppose 7*o - 21003 = 5324. Suppose -o*m = -3756*m - 10. Factor -1/3*t**3 - t**m - 2/3*t + 0.
-t*(t + 1)*(t + 2)/3
Let d(r) = r**5 - r**3 + r. Let m(a) be the second derivative of -3*a**7/14 + 9*a**5/20 - a**3 + 5*a + 2. Let f(u) = 6*d(u) + m(u). Factor f(q).
-3*q**3*(q - 1)*(q + 1)
Let x = -78567/4 + 864245/44. Determine o, given that 126/11 + 26/11*o**2 + x*o**3 + 102/11*o = 0.
-7, -3
Suppose -2507 = -f + p, -1047 = -2*f - 4*p + 3973. Let w = f + 1732. Find s, given that 35*s**4 + 5*s**2 - 4240 + w - 40*s**3 = 0.
0, 1/7, 1
Let o(d) = -d**4 + 2*d**3 + d**2 + 5. Let i(j) = 7*j**4 - 12*j**3 - 29*j**2 - 18*j + 10. Let m(v) = -i(v) - 6*o(v). Determine p, given that m(p) = 0.
-4, -2, 1, 5
Let r(p) = -p**2 + 26*p + 31. Let s be r(24). Find z such that s*z - 55*z**2 + 11753 - 11773 + 41*z = 0.
2/11, 2
Let u(r) be the third derivative of -r**6/1440 + r**5/32 + 33*r**3/2 - 12*r**2 - 5*r. Let x(p) be the first derivative of u(p). Determine m so that x(m) = 0.
0, 15
Factor -2/7*s**3 - 40/7*s**2 + 0 + 138/7*s.
-2*s*(s - 3)*(s + 23)/7
Let h = -37344/65 - -7500/13. Factor -6/5*n**3 - 3/5*n**2 - h + 1/5*n**4 + 4*n.
(n - 6)*(n - 1)**2*(n + 2)/5
Let p be (-108)/(-42) - (67 - 51 - 230/14). Let 0*k + 48*k**2 - 75/2*k**5 + 0 + 135*k**4 - 144*k**p = 0. Calculate k.
0, 4/5, 2
Let 5/2*m**5 - 80*m**2 - 5/2*m**4 + 360 + 240*m - 70*m**3 = 0. What is m?
-3, -2, 2, 6
Let s = 65