1/5*o - 28/15*o**3 + 3/10*o**2 + 151. Find c such that l(c) = 0.
-1/7, 1/4
Let w(f) be the second derivative of 3*f**4/2 - 4*f**3 + 4*f**2 + 1450*f. Factor w(g).
2*(3*g - 2)**2
Let a = 62 + -27. Let w(n) = a*n + 1 + 2*n**2 - 22*n + 4. Let o(s) = -6*s**2 - 38*s - 16. Let j(r) = 3*o(r) + 8*w(r). Factor j(p).
-2*(p + 1)*(p + 4)
Suppose -3772/5*q - 1058 - 20*q**3 + 2/5*q**4 + 1416/5*q**2 = 0. What is q?
-1, 5, 23
Let f(s) be the third derivative of -s**8/20160 - s**7/360 - 13*s**6/720 + s**5/60 + 2*s**3/3 - 43*s**2. Let x(n) be the third derivative of f(n). Factor x(c).
-(c + 1)*(c + 13)
Let g(h) = 4*h**2 + 2. Let o be g(-2). Suppose 2*n - 6 = 4*k - o, 4*n = -5*k + 28. Solve -2/9*a + 0 - 2/9*a**n = 0.
-1, 0
Let a = 109 - 106. Factor -764 + 42*l + 24*l**4 - 135*l**2 + 788 - a*l**4 + 48*l**3.
3*(l - 1)**2*(l + 4)*(7*l + 2)
Find d, given that -324*d**2 + 22*d**2 + 81 + 9*d**4 + 65*d**2 + 21 - 162*d**2 + 159*d + 129*d**3 = 0.
-17, -1/3, 1, 2
Let -5*m**2 - 1570*m - 1 + 1702 - 126 = 0. What is m?
-315, 1
Let s be ((-44)/275)/2 + (-9)/((-1800)/616). Suppose -x - 3*x = -20. Factor -8/5*h**4 + 0 + 4/5*h**x + 4/5*h**s + 0*h**2 + 0*h.
4*h**3*(h - 1)**2/5
Determine j so that -1/2*j**4 + 3/2*j**3 + 0 + 9/2*j**2 + 5/2*j = 0.
-1, 0, 5
Let o = -3255 - -3261. Let i(k) be the second derivative of -1/3*k**3 - 1/12*k**4 + 0 - 29*k + 1/10*k**5 + 1/30*k**o + 0*k**2. Factor i(r).
r*(r - 1)*(r + 1)*(r + 2)
Let k(i) be the second derivative of -56*i**6/45 + 1018*i**5/15 + 907*i**4/12 - 2117*i**3/18 + 148*i**2/3 + 266*i - 4. Determine p, given that k(p) = 0.
-8/7, 1/4, 37
What is s in -1/8*s**2 - 3/8*s + 35/4 = 0?
-10, 7
Let c = -132 - -135. Factor 649*z**3 + 617*z**c - 48*z**2 + 27*z**4 - 1233*z**3 - 12*z.
3*z*(z - 1)*(z + 2)*(9*z + 2)
Suppose -6*s = -9*s + 2*f + 3, -3*s - 4*f = -21. Factor -11*l**3 - 4*l**2 - 29*l**s + 42*l - 2*l**5 + 16*l**4 + 8*l**4 - 20.
-2*(l - 10)*(l - 1)**3*(l + 1)
Suppose 28/5*q - 32/5 + 4/5*q**2 = 0. What is q?
-8, 1
Let r(o) be the second derivative of -o**5/20 + 13*o**4 - 2175*o**3/2 + 16875*o**2 + 959*o. Suppose r(y) = 0. What is y?
6, 75
Let m = -6950 + 20348/3. Let g = -5498/33 - m. Determine t so that -2/11*t**2 - g*t - 8/11 = 0.
-2
Let y = 128/3135 + -6/1045. Let f(k) be the second derivative of 5/57*k**3 - 2/19*k**2 - 7*k + 0 - y*k**4 + 1/190*k**5. Let f(t) = 0. What is t?
1, 2
Let r(p) be the first derivative of p**4/4 - 41*p**3/3 + 57*p**2 + 1092. Suppose r(c) = 0. Calculate c.
0, 3, 38
Let o(g) be the second derivative of 3/2*g**5 - 57*g - 80*g**3 + 1/30*g**6 + 0 + 128*g**2 + 193/12*g**4. Find b, given that o(b) = 0.
-16, 1
Let g = 50 - 34. Factor 99*t**2 - 32*t**4 - g*t**3 + 11 + 148*t + 5*t**2 - 4*t**5 + 45.
-4*(t - 2)*(t + 1)**3*(t + 7)
Suppose 0 + 5/2*a**2 + 0*a - 1/2*a**5 - 5/2*a**4 + 1/2*a**3 = 0. Calculate a.
-5, -1, 0, 1
Let f(v) = -1627*v + 19531. Let r be f(12). Suppose 1/2 - 13/4*o**3 + r*o**2 - 17/4*o = 0. What is o?
2/13, 1
Suppose -2*b - 16*q = -312, 8*b = -52*q + 55*q - 25. Find f such that 5/4*f**2 - f**3 + 0 - 1/4*f**b + 0*f = 0.
-5, 0, 1
What is y in -96/11 + 26/11*y + 130/11*y**2 + 8/11*y**3 = 0?
-16, -1, 3/4
Let n(a) be the third derivative of 1/360*a**5 - 1/18*a**4 + 0*a + 1/3*a**3 + 0 - 50*a**2. Factor n(i).
(i - 6)*(i - 2)/6
Determine v, given that -166*v - 84 - 101*v**2 + 1/2*v**4 - 37/2*v**3 = 0.
-2, -1, 42
Let f = 311 + -299. Let f*z**2 - 27*z + 8*z**2 - 23*z**2 = 0. Calculate z.
-9, 0
Let f be 0 - (0 + -1 - 774/258). Let n be 4/6 + 0/1. Solve -n*k**f + 0 + 2/3*k + 2*k**3 - 2*k**2 = 0.
0, 1
Solve -50*c**5 - 144*c + 70*c**3 - 54*c**5 + 216 - 114*c**2 + 96*c**5 + 16*c**4 = 0 for c.
-2, 3/2, 3
Suppose 3*l - f - 175 = 126, -5*f = 2*l - 178. Let w be (l/(-126))/(-11)*12. Factor -24/7 - w*v**4 - 78/7*v**2 - 36/7*v**3 - 72/7*v.
-6*(v + 1)**2*(v + 2)**2/7
Factor -4*b**2 - 38/5*b**3 + 0 + 2/5*b**5 - 16/5*b**4 + 0*b.
2*b**2*(b - 10)*(b + 1)**2/5
Let p(l) be the third derivative of -l**6/40 - 51*l**5/10 - 297*l**4/8 + 677*l**2. Factor p(m).
-3*m*(m + 3)*(m + 99)
Solve 261/2 + 1/4*k**2 - 263/4*k = 0 for k.
2, 261
Suppose -47*s - 13 = -48*s + 4*i, -5*s + 3*i + 65 = 0. Solve s*j - 1/4*j**2 - 169 = 0 for j.
26
Let b = 65311/15 + -4354. Let h(c) be the first derivative of -52/75*c**5 - 22 - 7/45*c**6 - 17/15*c**4 + b*c**2 + 4/15*c - 32/45*c**3. Factor h(i).
-2*(i + 1)**4*(7*i - 2)/15
Suppose 23*m + 17 = -62*m + 272. Find t, given that -9/2 - 11/4*t + 1/4*t**m + 2*t**2 = 0.
-9, -1, 2
Let d(p) be the third derivative of p**6/720 + 13*p**5/240 - 55*p**3/3 + 41*p**2. Let f(n) be the first derivative of d(n). What is c in f(c) = 0?
-13, 0
Let p(o) be the third derivative of 0*o - 5/6*o**3 - 2 + 1/240*o**6 - 1/15*o**5 - 19/48*o**4 + 32*o**2. Factor p(y).
(y - 10)*(y + 1)**2/2
Suppose -95 + 55 = -10*a. Suppose -a*f + 13 = d - 3, -d + 13 = 3*f. Find o, given that 4/15*o**d + 2/15*o**5 + 0*o + 0 + 0*o**2 + 0*o**3 = 0.
-2, 0
Determine a, given that 0 + 142*a**3 - 1/2*a**4 - 10082*a**2 + 0*a = 0.
0, 142
Let d(n) be the third derivative of -n**5/330 - 314*n**4/33 + n**2 + 78*n - 10. What is z in d(z) = 0?
-1256, 0
Let u be ((-10)/15)/((-224)/1764) - (-6)/(-24). Solve -17/3*o**2 + 1/3*o**3 + 1/3*o**u - 8/3 - 22/3*o + 5/3*o**4 = 0 for o.
-4, -1, 2
Let f(n) be the second derivative of -n**4/4 - 7*n**3 + 180*n**2 + 1456*n. Solve f(s) = 0 for s.
-20, 6
Let j(p) = -16*p**5 + 24*p**4 + 8*p**3 - 92*p**2 - 156*p - 116. Let c(h) = -h**5 - h**3 - h**2 + h - 1. Let l(k) = 20*c(k) - j(k). What is x in l(x) = 0?
-3, -2, -1, 2
Let h(a) = 8*a**5 + 118*a**4 - 227*a**3 + 125*a**2 - 3*a. Let o(i) = 23*i**5 + 353*i**4 - 687*i**3 + 375*i**2 - 8*i. Let w(k) = -8*h(k) + 3*o(k). Factor w(g).
5*g**2*(g - 1)**2*(g + 25)
Let v(i) = -i**3 - 14*i**2 - 11*i - 400. Let j be v(-15). Let k be ((-984)/369)/(j/12). Solve -k + 12/5*c**2 - 4/5*c**4 - 8/5*c**3 + 16/5*c = 0 for c.
-2, 1
Factor 688900/3 + 1/3*j**2 - 1660/3*j.
(j - 830)**2/3
What is u in 62/3*u + 26/3*u**3 + 22*u**2 + 2/3*u**4 + 20/3 = 0?
-10, -1
Let k(g) be the second derivative of 10*g - 47/16*g**4 - 161/12*g**3 - 1/240*g**6 - 31/160*g**5 - 9 - 49/2*g**2. Factor k(x).
-(x + 1)*(x + 2)*(x + 14)**2/8
Let s(a) be the first derivative of 0*a**3 + 2/9*a**2 + 2/9*a - 1/9*a**4 + 27 - 2/45*a**5. Determine m so that s(m) = 0.
-1, 1
Let g be -3 - (-4 + (-36)/(-8))*(12 - 22). Factor o**g - 1/3*o**3 + 0*o + 0.
-o**2*(o - 3)/3
Let a be ((-2)/210)/((-45)/135). Let v = a + 173/70. Factor 4*m + 1/2*m**3 - 2 - v*m**2.
(m - 2)**2*(m - 1)/2
Let k be 3 + (-26)/10 + (9 - 9). Suppose 2*f - 5*g = -20, 36*f + 2*g - 8 = 34*f. Determine p so that f - 6/5*p + k*p**2 = 0.
0, 3
Suppose -29*a + 27502 + 5848 = 0. Let g = a - 8048/7. Determine p so that -g*p**3 - 2/7*p**4 + 8/7*p + 12/7*p**2 - 16/7 = 0.
-2, 1, 2
Suppose 0 = -5*s + 5*h + 2725, -27 + 7 = 4*h. Factor 259*g + 13 - 75*g**3 + 39 + 56 + s*g**2 + 209*g - 12.
-3*(g - 8)*(5*g + 2)**2
Solve 84*t + 76*t + 2*t**3 + 128 - 3505*t**2 + 3539*t**2 = 0.
-8, -1
Let a(j) = j**5 + 5*j**4 + 3*j**3 + 9*j**2 + 5. Let o(t) = -t**5 - 7*t**4 - 3*t**3 - 9*t**2 - 6. Let k(n) = 6*a(n) + 5*o(n). Factor k(c).
c**2*(c - 3)**2*(c + 1)
Factor 13*n**3 + 13*n**3 - 24*n**3 + 186*n**2 - 288*n - 8*n + 200 - 92*n**2.
2*(n - 2)*(n - 1)*(n + 50)
Let v(b) be the third derivative of -b**7/1050 + 49*b**6/600 + b**5/6 - 11*b**2 + 33*b. Find p such that v(p) = 0.
-1, 0, 50
Determine r, given that 152*r**2 - 33*r**3 + 4*r**4 + 44*r + 22*r**3 - 41*r**3 - 183 + 116*r - 585 = 0.
-2, 3, 4, 8
Let j(h) be the first derivative of 5*h**6/6 - 13*h**5 + 95*h**4/4 + 725*h**3/3 + 440*h**2 + 320*h - 712. Factor j(x).
5*(x - 8)**2*(x + 1)**3
Let g(l) be the first derivative of -4*l**3 + 9/2*l**4 + 1/2*l**6 + 45 + 3/2*l**2 + 0*l - 12/5*l**5. Factor g(z).
3*z*(z - 1)**4
Let x = 26161 + -26158. Let o(s) be the third derivative of 0*s + 0 + 0*s**x + 7/24*s**4 + 29*s**2 + 1/60*s**5. Suppose o(v) = 0. Calculate v.
-7, 0
Let s(g) be the third derivative of 487*g**5/120 + 325*g**4/32 + g**3/24 + 1519*g**2. Factor s(p).
(p + 1)*(974*p + 1)/4
Let u(t) be the second derivative of t**7/420 - t**6/10 + 149*t**5/200 - 4*t**4/5 - 51*t**3/5 + 216*t**2/5 - 2256*t. What is o in u(o) = 0?
-2, 2, 3, 24
Suppose 45*n = 2*q + 47*n - 30, 4*n - 56 = -2*q. Factor 1 + 2/3*p**3 - 1/9*p**4 - 2/3*p - 8/9*p**q.
-(p - 3)**2*(p - 1)*(p + 1)/9
Let h = 90 - 94. Let 