ose i(j) = 0. Calculate j.
-2, 3, 5
Let s = 254 - 195. Factor 24*h + s*h - 7*h**3 + 28*h**2 - 21*h + 5*h**3 + 32.
-2*(h - 16)*(h + 1)**2
Let y(j) be the second derivative of -5*j**4/12 - 955*j**3/6 - 1826*j. Solve y(m) = 0 for m.
-191, 0
Let o(c) be the third derivative of -c**6/240 - c**5/120 + 7*c**4/6 + 621*c**2. Find g, given that o(g) = 0.
-8, 0, 7
Let t be 370/222 - 1021/(-45) - 8/(-18). Find n, given that -72*n**3 - t*n + 391/5*n**2 + 12/5 + 81/5*n**4 = 0.
2/9, 1, 3
Let m(p) be the second derivative of p**6/720 - 11*p**5/240 - 13*p**4/24 - 29*p**3/3 - 30*p + 1. Let h(b) be the second derivative of m(b). Factor h(q).
(q - 13)*(q + 2)/2
Let v be (-5 + 5)/2 - -6*1. Factor -65*k**4 - 42*k**3 - 4*k + 38*k**3 + v*k**2 + 66*k**4 + 1.
(k - 1)**4
Let l(q) be the first derivative of -31 - 2/3*q**5 + 0*q + 5/3*q**3 + 25/8*q**4 + 7*q**2. Let u(j) be the second derivative of l(j). Factor u(m).
-5*(m - 2)*(8*m + 1)
Let d(h) be the third derivative of h**7/105 + 11*h**6/15 + 53*h**5/10 - 11*h**4/3 - 160*h**3/3 + 2*h**2 - 2505. Solve d(x) = 0.
-40, -4, -1, 1
Let k(n) be the third derivative of n**6/72 - 7*n**5/24 - 22*n**3/3 + 22*n**2. Let b(x) be the first derivative of k(x). Factor b(q).
5*q*(q - 7)
Let f(q) be the second derivative of 5/26*q**5 + 35/39*q**4 - 26*q + 36/13*q**2 - 37/13*q**3 + 0. Factor f(a).
2*(a + 4)*(5*a - 3)**2/13
Suppose -2*c + i + i = -730, 5*c - 1827 = 4*i. Suppose w - 4*b = c, -99 - 268 = -w - 4*b. Factor 362*g**2 - 20*g - w*g**2 + 5*g.
-5*g*(g + 3)
Let k(r) be the first derivative of r**7/21 + 4*r**6/15 + r**5/10 - r**4 + 206*r - 271. Let a(y) be the first derivative of k(y). Solve a(q) = 0.
-3, -2, 0, 1
Factor -10272025/3 - 1/3*a**2 + 6410/3*a.
-(a - 3205)**2/3
Factor 21*n**3 + 201/5*n**2 + 99/5*n + 0 + 3/5*n**4.
3*n*(n + 1)**2*(n + 33)/5
Let d(s) be the first derivative of s**6/21 - 2*s**5/5 + 2*s**4/7 + 8*s**3/7 + 7050. Determine r so that d(r) = 0.
-1, 0, 2, 6
Factor -231/2 - 1/2*c**2 + 40*c.
-(c - 77)*(c - 3)/2
Let k(b) be the third derivative of 7/180*b**4 - 11*b + 1/180*b**6 + 1/45*b**3 + 3*b**2 + 0 + 11/450*b**5. Determine o, given that k(o) = 0.
-1, -1/5
Let o(y) be the second derivative of 3*y**7/70 - 19*y**6/10 - 673*y**5/50 - 171*y**4/5 - 644*y**3/15 - 144*y**2/5 + 15*y - 215. Solve o(l) = 0 for l.
-2, -1, -2/3, 36
Let t(s) be the second derivative of -7*s**5/160 - 11*s**4/12 + 13*s**3/16 - 3273*s. Factor t(l).
-l*(l + 13)*(7*l - 3)/8
Let q(k) be the second derivative of -k**4/42 + 16*k**3/21 + 36*k**2/7 - 620*k. Find v, given that q(v) = 0.
-2, 18
Let j(d) be the first derivative of 5/36*d**4 - 25/18*d**3 + 36 - 3*d + 10/3*d**2. Let x(f) be the first derivative of j(f). What is t in x(t) = 0?
1, 4
Let a(f) be the first derivative of -2*f**3 + 0*f**4 + 42 + 4*f + 6*f**2 + 4*f**4 - 3*f**4 + 6*f**3. Determine o, given that a(o) = 0.
-1
Let 3*t**3 - 18/5*t - 168/5 - 27/5*t**4 + 39*t**2 + 3/5*t**5 = 0. What is t?
-2, -1, 1, 4, 7
Let q be (1*24 + -2)*-1. Let u = 25 + q. Factor 18*m - 6*m + 0*m - 9 - u*m**2.
-3*(m - 3)*(m - 1)
What is j in 0 + 10*j - 25/6*j**3 - 11/2*j**5 + 59/3*j**4 - 58/3*j**2 = 0?
-1, 0, 2/3, 10/11, 3
Suppose -7*i = -2*i - 15. Suppose -i*g + 14 = -u, -7 = 2*g + 4*u + 7. Determine o, given that 18*o**4 + o**2 - 12*o**g + 11*o**2 - 15*o**4 = 0.
0, 2
Let k = 32773/3 - 10708. Let c = -215 + k. Determine z, given that 4/3*z**2 + c*z + 0 = 0.
-1, 0
Find n such that -42*n**2 - 117*n**2 + 309*n**3 - 198 - 1488*n - 762 + 3*n**5 - 8*n**4 - 49*n**4 + 0*n**5 = 0.
-1, 5, 8
Factor -92*c**3 - 25*c**4 + 19*c**4 - 93*c**3 + c**4 - 1475*c**2 - 3375*c.
-5*c*(c + 5)**2*(c + 27)
Suppose 3*d + 5*k = 36, -589*d - 10*k + 68 = -585*d. Find a, given that 4/5*a**3 + 32/5 + 4/5*a**d - 8*a = 0.
-4, 1, 2
Let x(n) be the second derivative of n**5/12 - 10*n**4/9 - 115*n**3/18 + 25*n**2 + 1033*n + 1. Factor x(g).
5*(g - 10)*(g - 1)*(g + 3)/3
Let k(v) = -6*v**3 - 4*v**2 - 2*v + 3. Let x be k(-3). Suppose -x*o = -130*o. Factor 0 + o*m + 32/3*m**3 + 4/3*m**5 - 16/3*m**2 - 20/3*m**4.
4*m**2*(m - 2)**2*(m - 1)/3
Suppose 9 = -2*s - 1, 5*c + 4*s + 860 = 0. Let r be (-72)/c - 85/(-63). Find i, given that r + 1/9*i**2 + 8/9*i = 0.
-4
Find s, given that -4*s**3 - 466 - 460 - 96*s + 40*s**2 + 926 = 0.
0, 4, 6
Let y(o) be the second derivative of -1/40*o**6 - 25*o - 1/4*o**3 + 0*o**2 + 0 + 1/24*o**4 + 9/160*o**5 + 1/336*o**7. Factor y(s).
s*(s - 3)*(s - 2)**2*(s + 1)/8
Let a(o) = o**3 + 56*o**2 + 104*o - 3. Let f be a(-2). Determine u so that 78/7*u**3 + 0 + 36/7*u**2 - 153/7*u**4 + 54/7*u**f - 24/7*u = 0.
-1/2, 0, 2/3, 2
Let p(g) = g**3 + 13*g**2 + 6*g + 78. Let v be p(-13). Factor -3*i + 2*i**4 - 6*i - 6 - 12*i**2 - 7*i + v*i.
2*(i - 3)*(i + 1)**3
Let c = -147 - -150. Solve -60*g + 56*g**3 - 122*g**c - 69*g**2 - 30*g**2 + 0 - 12 - 15*g**4 = 0 for g.
-2, -1, -2/5
Let r = -30 - -32. Let m(a) = -7*a**2 - 35*a + 80. Let j(z) = z**2 - z. Let p(c) = r*m(c) + 18*j(c). Factor p(s).
4*(s - 20)*(s - 2)
Let w be -24 + -1*(3 - 1). Let c = -13 - w. Factor 8 + 16*x**2 + c*x + 2 - 2 + 23*x.
4*(x + 2)*(4*x + 1)
Let g(w) = -w**4 - 21*w**3 - 50*w**2 + 4*w - 8. Let p(k) = -3*k**4 - 83*k**3 - 205*k**2 + 17*k - 34. Let f(n) = -17*g(n) + 4*p(n). Suppose f(y) = 0. What is y?
-3, -2, 0
Determine r so that 460/9*r**3 + 100/3*r + 2/3*r**4 + 0 + 754/9*r**2 = 0.
-75, -1, -2/3, 0
Let -272/5 - 72/5*c - 1/5*c**2 = 0. Calculate c.
-68, -4
Let v(i) be the third derivative of 235*i**2 - 11/40*i**5 + 11/4*i**3 - 1/16*i**4 + 0*i + 1/80*i**6 + 0. Find r, given that v(r) = 0.
-1, 1, 11
Let f(a) be the first derivative of 3/5*a**2 - 8/5*a - 1/15*a**3 - 212. Let f(m) = 0. What is m?
2, 4
Factor -30*y + 33 - 3*y**2 + y**2 + 0*y**2 - y**2 + 0*y.
-3*(y - 1)*(y + 11)
Let a(g) = -4*g**3 + 276*g**2 + 276*g + 8. Let x(w) = 16*w**3 - 1104*w**2 - 1102*w - 36. Let o(q) = 9*a(q) + 2*x(q). What is y in o(y) = 0?
-1, 0, 70
Let i(z) be the first derivative of 1/10*z**5 + 58 + 0*z**2 + 1/8*z**4 - 1/3*z**3 + 0*z. Factor i(n).
n**2*(n - 1)*(n + 2)/2
Let n = 95 - 30. Let v = n - 61. Suppose 7*i + 8*i**2 + 5*i**4 - i**5 - 3*i**4 + 2*i**3 + 0*i**4 + 2 - v*i**4 = 0. Calculate i.
-1, 2
Suppose n + 4*y + 89 = -4*n, 5*y + 1 = -n. Let j = -18 - n. Let 25*a**j + 10 + 2*a**2 - 12*a**2 - 12*a - 13*a = 0. What is a?
-1, 2/5, 1
Let f(k) be the second derivative of k**4/6 + 148*k**3/3 + 4558*k. Factor f(n).
2*n*(n + 148)
Factor 182/5*h + 8281/5 + 1/5*h**2.
(h + 91)**2/5
Let t(g) = g**5 + g**4 + g**2 + g + 1. Let k(a) = 8*a**4 - 4*a**3 + 2*a**2 + 2*a + 2. Suppose -12*l - 36 = -3*l. Let h(p) = l*t(p) + 2*k(p). Factor h(j).
-4*j**3*(j - 2)*(j - 1)
Let t = -1 - -6. Let v be (-6)/t*15/(-9). Let -2*a**4 + 3*a**2 - v*a**3 + 3*a + 7*a**4 - a**3 - 8*a**4 = 0. What is a?
-1, 0, 1
Suppose -5*r + 47975 = 16660. Let w = -56311/9 + r. Find d, given that -14/9*d**4 - 16/9 + 4/3*d**2 + 38/9*d**3 - w*d = 0.
-1, -2/7, 2
Let b = -21 + 63. Let t = b - 28. Find v, given that 4*v**3 + 0 + t*v - 2 - 5*v**3 - 11*v = 0.
-2, 1
Let n(c) = -6*c**2 + 5*c + 19. Let m be n(-4). Let i = 161 + m. Determine w, given that 64 - i - 8*w**3 - 7*w**3 + 10*w**4 = 0.
0, 3/2
Suppose -48 = 42*f - 54*f. Suppose f*m = -2*p, p + 0*m = 3*m. Solve 8/3 + 16/3*r**3 + p*r**4 - 4*r - 8/3*r**2 - 4/3*r**5 = 0 for r.
-2, -1, 1
Let o(k) be the first derivative of -2*k**6 - 1156*k**5/5 - 937*k**4 - 2588*k**3/3 + 752*k**2 + 1488*k - 2927. Solve o(a) = 0.
-93, -2, -1, 2/3
Let k(u) be the third derivative of u**5/270 + 29*u**4/12 - 262*u**3/27 - 3*u**2 + 8*u. Solve k(a) = 0 for a.
-262, 1
Solve -6463*i**2 + 316 - 4908*i + 4588 + 6467*i**2 = 0 for i.
1, 1226
Let q(k) be the third derivative of 0*k**3 + 7*k + 1/1020*k**6 + 2*k**2 + 23/204*k**4 - 4/85*k**5 + 0. Factor q(p).
2*p*(p - 23)*(p - 1)/17
Let t(m) be the first derivative of -5*m**6/6 - 67*m**5/10 + 107*m**4/8 + 19*m**3/6 - 41*m**2/4 - 4*m + 897. Solve t(v) = 0.
-8, -1/2, -1/5, 1
Let v(d) be the second derivative of -7*d**5/100 + 79*d**4/60 - 109*d**3/15 + 28*d**2/5 - d + 1473. Factor v(z).
-(z - 7)*(z - 4)*(7*z - 2)/5
Factor -4*m**2 - 845944 - 266980 + 1896*m + 3*m**2 + 290275 - 82*m.
-(m - 907)**2
Let k(r) = r**4 - r**3 + 4*r**2 - 2*r. Let n(z) = z - 14*z**2 + 7*z**2 + 6*z**2 - z**3. Let b(q) = 2*k(q) + 4*n(q). Let b(w) = 0. What is w?
0, 1, 2
Let p(t) be the second derivative of -5*t**7/42 - 23*t**6/2 + 213*