69809/4 - 1017450. Find p, given that -3/4*p**2 - a*p + 27/2 = 0.
-6, 3
Let z(j) be the third derivative of -j**5/270 + 4*j**4/3 + 292*j**3/27 - j**2 + 208. Factor z(p).
-2*(p - 146)*(p + 2)/9
Suppose -430*z = -490*z + 3 - 3. Factor z*i**2 - 1/9*i**3 + 7/9*i - 2/3.
-(i - 2)*(i - 1)*(i + 3)/9
Let k be ((-10)/(-6))/(4/(-6) - -1). Let b(i) = 4*i**2 - i - 5. Let g(p) = -3*p**2 + 3. Let f(a) = k*g(a) + 3*b(a). Factor f(d).
-3*d*(d + 1)
Let h be (-46627)/(-7)*(-2 - 1)/9. Let f = h + 2221. Determine t, given that 2/3*t**2 - 4/3*t + 0 + f*t**3 = 0.
-2, 0, 1
Determine y, given that -411*y - 1257*y**3 + 3 - 57453*y**2 + 56202*y**2 - 420*y**4 + 0 = 0.
-1, 1/140
Factor 46/13*b - 2/13*b**2 - 120/13.
-2*(b - 20)*(b - 3)/13
Let a(d) be the third derivative of -d**6/60 - 64*d**5/5 + 129*d**4 - 1552*d**3/3 - 11*d**2 + 353*d. Determine m so that a(m) = 0.
-388, 2
Solve -197/4*s - 7/2*s**2 - 7/2 = 0 for s.
-14, -1/14
Let m(n) be the third derivative of n**4/24 + 35*n**3/3 + n**2 - 127. Let d be m(-68). Factor 1/4*z**d + 7/4*z - 2.
(z - 1)*(z + 8)/4
Let c = -1269505 - -1269509. Find t, given that 7*t**c + 16/3 + 139/3*t**3 + 116/3*t + 248/3*t**2 = 0.
-4, -2, -1/3, -2/7
Let z = -8910 + 8916. Let g(w) be the second derivative of 3/4*w**2 + 1/40*w**z - 3/16*w**4 - 1/8*w**3 - 12*w + 3/80*w**5 + 0. Suppose g(y) = 0. Calculate y.
-2, -1, 1
Factor -55460*c**2 + 12977168/3*c + 13144256/3 + 707/3*c**3 - 1/3*c**4.
-(c - 236)**3*(c + 1)/3
Let m(s) be the first derivative of s**3/9 + 229*s**2/3 + 52441*s/3 + 1830. Factor m(p).
(p + 229)**2/3
Let b(d) = 3*d**3 + 360*d**2 + 10778*d + 44. Let t(z) = 6*z**3 + 720*z**2 + 21558*z + 84. Let o(r) = 21*b(r) - 11*t(r). Find w such that o(w) = 0.
-60, 0
Factor -11736*f**2 + 21*f**3 - 133*f**4 + 3*f**3 + 1 - 1 + 11740*f**2.
-f**2*(7*f - 2)*(19*f + 2)
Let j be (19 - 3892/210)*(26/(-6) + 1) - -2. Factor 0*p - 2/9*p**4 + j*p**2 - 2/9 + 0*p**3.
-2*(p - 1)**2*(p + 1)**2/9
Let c be ((-65)/(-60))/13*-2*-10. Let t(l) = l**3 - 3*l**2 - 5*l + 6. Let s be t(4). Find a, given that 0 + 10/3*a + 5/3*a**s - c*a**3 = 0.
-1, 0, 2
Let u(m) be the second derivative of m**6/15 - 6*m**5 + 29*m**4 - 172*m**3/3 + 57*m**2 + 847*m. What is v in u(v) = 0?
1, 57
Let k(t) be the second derivative of t**6/10 - 153*t**5/20 + 431*t**4/2 - 2562*t**3 + 6468*t**2 + 3419*t. Find y such that k(y) = 0.
1, 14, 22
Let 0 + 459/7*t**3 + 3/7*t**4 + 0*t + 906/7*t**2 = 0. What is t?
-151, -2, 0
Find g such that -7377*g**2 - 87398*g + 46962*g + 181134*g + 45*g**3 + 92769*g + 20172 + 68621*g = 0.
-1/15, 82
Let h(b) be the second derivative of b**6/75 + 77*b**5/25 - 317*b. Factor h(c).
2*c**3*(c + 154)/5
Let v(n) = n**3 - 7*n**2 + 21*n - 5. Let k be v(11). Factor 700*r**3 - k*r**3 + 0 + 0 - 2*r**4.
-2*r**3*(r + 5)
Let l(r) be the first derivative of -r**7/147 + r**5/35 - r**3/21 - 91*r + 65. Let v(w) be the first derivative of l(w). Factor v(p).
-2*p*(p - 1)**2*(p + 1)**2/7
Let i(u) be the third derivative of u**9/1008 - u**8/420 - u**7/210 - 44*u**3/3 + 3*u**2 + 37*u. Let g(x) be the first derivative of i(x). Factor g(z).
z**3*(z - 2)*(3*z + 2)
Let t(b) be the second derivative of 177*b + 0 + 4*b**2 - 1/12*b**4 + 7/6*b**3. Let t(y) = 0. What is y?
-1, 8
Determine p, given that -32452*p**4 + 33196*p**4 - 2*p**5 + 34596*p**3 + 6*p**5 = 0.
-93, 0
Let m(b) be the first derivative of 2*b**6/15 - 4*b**5/5 - 60*b + 93. Let j(c) be the first derivative of m(c). Factor j(p).
4*p**3*(p - 4)
Let 2 - 4*q**5 - 2 + 10537*q**4 - 21081*q**4 + 8*q**2 + 10536*q**4 + 4*q**3 = 0. Calculate q.
-2, -1, 0, 1
Solve 7322436/5 + 10828/5*s**2 - 4/5*s**3 - 1466652*s = 0.
1, 1353
Let f = 30/1643 - 5557/394320. Let a(n) be the second derivative of -5*n - 1/20*n**5 - 1/2*n**3 + 11/48*n**4 + 0 + f*n**6 + 9/16*n**2. Let a(b) = 0. What is b?
1, 3
Suppose -7313*f + 176 = -7297*f. Let v(x) be the second derivative of 11/3*x**4 + 1/5*x**5 + 70/3*x**3 - f*x + 50*x**2 - 2. Determine c so that v(c) = 0.
-5, -1
Let x(r) be the second derivative of 0*r**5 + 2 + 0*r**2 - 7/20*r**4 + 1/50*r**6 + r + 3/5*r**3. Factor x(o).
3*o*(o - 2)*(o - 1)*(o + 3)/5
Let i = 68185 - 68183. Let 0 - 16/9*u**i - 2/9*u**4 + 8/9*u + 10/9*u**3 = 0. Calculate u.
0, 1, 2
Let p(k) be the first derivative of k**7/5460 - k**6/585 + k**5/195 + 2*k**3/3 + 5*k + 52. Let w(a) be the third derivative of p(a). Factor w(q).
2*q*(q - 2)**2/13
Let 160/9*s + 128/9*s**2 + 0 - 34/9*s**3 - 2/9*s**4 = 0. What is s?
-20, -1, 0, 4
Let -911*w + 21 - 474 - 68*w**4 - 1224*w**2 - 709*w - 424*w**3 - 3*w**5 - 303 - w**5 = 0. Calculate w.
-7, -3, -1
Suppose -3*u + 12 - 14 = -5*s, -3*s = -12. What is h in -3*h**3 + u*h + 5*h**3 + 7*h**2 + 5*h**3 - 6*h**3 = 0?
-6, -1, 0
Let j = 57973/231 + -21501/154. Let p = j + -667/6. Suppose -2/11*h + 6/11*h**2 + 2/11*h**3 - p*h**4 - 4/11 = 0. What is h?
-1, 1, 2
Let p be ((-16)/12)/((-22)/33). Factor 27*c + c**2 + 233 + 3*c**p - 325 + 61*c.
4*(c - 1)*(c + 23)
Let -58*q**2 + 2*q**2 + 226*q**2 - 72 + 400*q - q**4 + 8*q**2 + 279 - 16*q**3 = 0. Calculate q.
-23, -1, 9
Factor -2/3*w**2 - 930 - 2792/3*w.
-2*(w + 1)*(w + 1395)/3
Let y(i) be the second derivative of i**5/5 - 8*i**4 + 310*i**3/3 - 264*i**2 - 5*i + 43. Factor y(q).
4*(q - 12)*(q - 11)*(q - 1)
Suppose -6*z + 5 = -55. Let g(b) = -4*b**3 + z*b**3 - 6*b**3 + b**4. Let u(d) = 3*d**4 - 3*d**3 + d**2. Let o(r) = 3*g(r) - 3*u(r). Factor o(y).
-3*y**2*(y - 1)*(2*y - 1)
Let l = 62 - 62. Suppose l = -9*q + q + 16. Find k, given that 3*k**2 - 6*k**2 + 2*k**4 - k**2 + q*k**4 = 0.
-1, 0, 1
Factor 176*h**2 + 50*h**3 + 296*h - 2*h**4 + 110*h**2 - 31 + 211 + 118*h.
-2*(h - 30)*(h + 1)**2*(h + 3)
Let d(u) be the first derivative of u**4 + 16*u**3/3 - 6*u**2 + 48*u - 83. Let v(y) be the first derivative of d(y). Let v(t) = 0. What is t?
-3, 1/3
Suppose -6 = -9*s + 71 + 94. Let w(p) be the third derivative of 1/200*p**6 - s*p**2 - 18/5*p**3 + 0 - 13/100*p**5 + 0*p + 6/5*p**4. Factor w(n).
3*(n - 6)**2*(n - 1)/5
Let z(n) be the first derivative of 4*n**5/5 - 16*n**4 + 196*n**3/3 + 132*n**2 - 5577. Determine c, given that z(c) = 0.
-1, 0, 6, 11
Let o be (88/(-42)*1 + 2)/(9936/252 + -40). Find j, given that 79/3*j - o - 6241/6*j**2 = 0.
1/79
Let t(o) be the second derivative of 0*o**3 + 3/50*o**5 - 2*o - 1/105*o**7 + 19 - 1/15*o**4 + 0*o**6 + 0*o**2. Determine j so that t(j) = 0.
-2, 0, 1
Suppose -672 = -27*c - 21*c. Suppose 8 = -j - 4*m, 3*j + c*m = 13*m + 9. Find q, given that -32*q**2 - 64/9*q - 296/9*q**3 - 2*q**5 + 32/9 - 122/9*q**j = 0.
-2, -1, 2/9
Suppose 4*t - 2*p = 27 + 135, -2*p + 90 = 2*t. Suppose -3*y + 2*b + t = 0, 0*b = 4*y - 4*b - 60. Factor -15 - 3*m**2 - 6*m - 12 - y*m.
-3*(m + 3)**2
Determine u, given that 0*u + 0 + 2/11*u**3 - 930/11*u**2 = 0.
0, 465
Let z(n) be the second derivative of -13/75*n**6 - 48/5*n**2 + 63/50*n**5 + 0 + 136/15*n**3 + 1/105*n**7 + 146*n - 139/30*n**4. Let z(u) = 0. Calculate u.
1, 3, 4
Let o be (-11)/(-2)*(-7 + 9). Suppose -o*m + 3 + 30 = 0. Find a, given that -14*a**3 + a**m - 2*a**2 + 12*a**3 = 0.
-2, 0
Let i = -2/651295 + 2605198/5861655. Suppose 0 - i*u**5 + 0*u + 56/9*u**2 + 76/9*u**3 + 16/9*u**4 = 0. What is u?
-2, -1, 0, 7
Suppose -7/9*p**5 - 476/9*p**3 - 69*p + 110*p**2 + 32/3*p**4 - 30 = 0. What is p?
-2/7, 3, 5
Let 140/3 + 974/3*k - 52/3*k**4 - 10/3*k**5 + 1496/3*k**2 + 620/3*k**3 = 0. What is k?
-10, -1, -1/5, 7
Suppose 29 = 2*z + 3. Solve 12*t**2 + z - 107*t + 99 - 69*t = 0.
2/3, 14
Let c = 29/2176 + 6383/10880. Factor -c*w**2 - 3/5 + 6/5*w.
-3*(w - 1)**2/5
Let o(h) = h**3 + 2*h - 14*h - h + 178 - 212 + 3*h**2. Let p be o(-4). Factor -3/5*y**p + 3/5 - 6/5*y + 6/5*y**3.
3*(y - 1)*(y + 1)*(2*y - 1)/5
Factor -2712*u**2 + 4386*u + 141*u**3 + u**4 - 4*u**4 + 4*u**4 + 447*u**2 - 19500 + 7189*u.
(u - 5)**3*(u + 156)
Let s be 2 - (-4 - (1 + -4)). Suppose 3*n = s*x - 3, x + 1 = 5*n + 2. Let -8/3*c**2 + n + 4/3*c**3 + 4/3*c = 0. Calculate c.
0, 1
Let o(l) be the second derivative of l**4/84 + 578*l**3/21 - 1157*l**2/14 - 326*l - 1. Find s such that o(s) = 0.
-1157, 1
Let o = -21121 + 21123. Determine b, given that -21*b**4 - 243/7*b**o - 60/7 - 348/7*b + 114*b**3 = 0.
-2/7, 1, 5
Let l(u) be the third derivative of -1/48*u**4 + 0*u**3 + 0 - 1/240*u**6 + 0*u + 1/60*u**5 + 23*u**2. Factor l(p).
-p*(p - 1)**2/2
Let y(p) = 5*p**4 + 27*p**3 - 75*p**2 + 83*p +