 0*l - 13*l**2 + 1/21*l**7 + s*l**5 + 0 - 7/3*l**4. Factor i(q).
2*(q - 2)**2*(q - 1)*(5*q - 1)
Let h(b) = -2*b**2 - 14*b + 66. Let m(u) = 7. Let p(o) = 1. Let x(r) = -m(r) + 6*p(r). Let q(v) = 2*h(v) + 12*x(v). Factor q(f).
-4*(f - 3)*(f + 10)
Let v(p) = p**3 + 46*p**2 - 106*p - 477. Let t be v(-48). Let k(s) be the second derivative of 0*s**2 + 0 - 1/102*s**4 - 2*s - 2/51*s**t. Factor k(m).
-2*m*(m + 2)/17
Let a(q) = 18*q - 681. Let h be a(38). Let d(g) be the first derivative of 0*g + 30 - 1/12*g**h + 3/4*g**2. Factor d(v).
-v*(v - 6)/4
Let q be 2/(-11) + 47*(-48)/(-66). Solve -162 - 2*n**3 - 30*n**3 + n - q*n**2 + 146*n**2 - 19*n = 0.
-1, 9/4
Suppose 149 + 97 = 41*m. Let s be (-6)/m + 767/65. Determine o, given that -6/5*o**2 + s + 18/5*o - 2/5*o**3 = 0.
-3, 3
Let c be 135/(-288)*24/(-18)*6/5. Let f(r) be the second derivative of -1/2*r**4 - c*r**5 + 5/2*r**3 + 3*r**2 + 0 + r. Find v, given that f(v) = 0.
-1, -2/5, 1
Let n(x) be the second derivative of x**4/60 - 2158*x**3/15 + 2328482*x**2/5 + 85*x + 12. Factor n(s).
(s - 2158)**2/5
Let v(x) = 31*x - 20. Let f be v(2). Let r be ((-4)/5)/2*(-47 + f). Let 24/5*w + 12/5*w**r + 16/5 + 2/5*w**3 = 0. Calculate w.
-2
Suppose 4*x = 37 - 29. Let 10*p - 3 - 29*p**x + 43 + 5*p**3 + 19*p**2 - 15*p**2 = 0. Calculate p.
-1, 2, 4
Find o, given that 8*o**3 - 5*o**3 + 3*o**3 - 18285*o**2 + o + 18287*o**2 - 5*o**3 = 0.
-1, 0
Factor 1/3*d**3 - 121/9*d**2 - 436/9 + 448/9*d.
(d - 2)**2*(3*d - 109)/9
Let y(a) = 2*a**2 - 5*a + 11. Let p(c) = 10*c**2 - 26*c + 54. Let o be ((-126)/36)/((-1)/4). Suppose o = -3*b + 56. Let v(i) = b*y(i) - 3*p(i). Factor v(w).
-2*(w - 2)**2
Let t(s) be the first derivative of s**6/120 - s**5/20 + s**4/16 + s**3/6 - s**2/2 - 6*s + 28. Let u(a) be the first derivative of t(a). Solve u(x) = 0 for x.
-1, 1, 2
Let v(w) be the third derivative of -3 + 0*w + 3*w**2 + 0*w**3 - 9/4*w**5 + 45/8*w**4 - 1/42*w**7 + 3/8*w**6. Factor v(l).
-5*l*(l - 3)**3
Let n be (6 + 133/(-21))*(-6318)/624. Factor -n*v + 3 + 3/8*v**2.
3*(v - 8)*(v - 1)/8
Let g be (21 + (-5 - 2))*1. Suppose -14 = -14*y + g. Solve -4/3*k + 1/3*k**4 + 4/3 - k**y + 2/3*k**3 = 0 for k.
-2, 1
Factor -747*y - 1/2*y**2 - 558009/2.
-(y + 747)**2/2
Let q(a) be the first derivative of a**4/14 - 354*a**3/7 + 70755*a**2/7 - 140450*a/7 + 1013. Find f, given that q(f) = 0.
1, 265
Let w(k) be the second derivative of -3*k**6/280 + 19*k**5/140 - k**4/7 + 19*k**3/6 + 5*k - 2. Let x(o) be the second derivative of w(o). Factor x(v).
-3*(v - 4)*(9*v - 2)/7
Factor 47/2*y**2 - 69/2*y - 1/3*y**3 + 0.
-y*(y - 69)*(2*y - 3)/6
Let y(u) be the second derivative of 1/15*u**6 + 196/3*u**3 + 29/10*u**5 + 112/3*u**4 + 3*u - 14 + 0*u**2. Factor y(r).
2*r*(r + 1)*(r + 14)**2
Determine q, given that -3/2*q**2 + 29/2*q - 9/2*q**3 + 1/2*q**4 - 9 = 0.
-2, 1, 9
Factor 0 - 4/7*k**3 + 1/7*k**2 + 6/7*k + 1/7*k**4.
k*(k - 3)*(k - 2)*(k + 1)/7
Let w(l) be the second derivative of -l**7/5040 + l**6/480 - l**5/120 + 14*l**4 + 87*l. Let q(j) be the third derivative of w(j). Factor q(c).
-(c - 2)*(c - 1)/2
Let b(l) = -l**3 - 21*l**2 + 2. Let d be b(-21). Let 5*u + u - 52*u**3 - u**d + 48*u**3 - u**4 = 0. Calculate u.
-3, -2, 0, 1
Let h(n) be the second derivative of 7*n**6/2 + 1179*n**5/40 - 171*n**4/4 + 16*n**3 - 8*n - 13. Find o, given that h(o) = 0.
-32/5, 0, 2/7, 1/2
Let v(m) be the first derivative of 2*m**3/3 + 43*m**2 + 164*m + 3267. Solve v(f) = 0.
-41, -2
Factor 141 - 3*x**2 + 89 - 106826*x + 106943*x + 4*x**2.
(x + 2)*(x + 115)
Let l(b) be the third derivative of -b**7/4620 - b**6/220 + 9*b**4/11 - 53*b**3/3 - 81*b**2. Let h(c) be the first derivative of l(c). Factor h(z).
-2*(z - 3)*(z + 6)**2/11
Let n(j) be the first derivative of j**4/10 - 18*j**3/5 + 216*j**2/5 - 216*j + 243. Factor n(l).
2*(l - 15)*(l - 6)**2/5
Let i be (-3)/(-10)*(-140)/105*(-76)/152. Find k, given that 0 - i*k**3 - 2/5*k**2 + 2/5*k**4 + 1/5*k = 0.
-1, 0, 1/2, 1
Factor -490*a**2 + 48*a**3 - 13*a**4 + 16*a**4 + 34*a**2 - 72*a**2 + 1152*a.
3*a*(a - 4)**2*(a + 24)
Let p = -474 + 478. Suppose 23*z**4 + z**3 + 0*z**4 - z**5 - 23*z**p = 0. Calculate z.
-1, 0, 1
Factor -228/11 + 70/11*l + 2/11*l**2.
2*(l - 3)*(l + 38)/11
Let d be 5/8 + (9842/304 - 31). Suppose 4/9*z - 16/9 + 2/9*z**d = 0. Calculate z.
-4, 2
Let b(t) be the second derivative of -125*t**4/12 - 5*t**3/3 - t**2/10 + 2635*t. Factor b(u).
-(25*u + 1)**2/5
Let -155*i**2 + 8160*i + 4*i**3 - 113*i**2 + 46*i**2 - 94*i**2 - 68400 = 0. What is i?
19, 30
Let j(h) = 2*h**2 + 73*h + 39. Let a be j(-36). Factor 6*z**3 + 2*z + 11*z**3 - 14*z**3 + 16*z**5 + 40*z**4 - 13*z**2 + 6*z**a.
z*(z + 1)*(z + 2)*(4*z - 1)**2
Factor 122*p - 72/5 + 17/5*p**2.
(p + 36)*(17*p - 2)/5
Let d(m) be the second derivative of 0 - 60/7*m**2 + 64/21*m**3 + 186*m + 1/70*m**5 - 19/42*m**4. Factor d(s).
2*(s - 15)*(s - 2)**2/7
Factor -60 - 340*c + 838*c**2 + 114*c**3 - 29*c**3 + 861*c**2 - 1684*c**2.
5*(c - 2)*(c + 2)*(17*c + 3)
Let a(l) be the first derivative of -l**4/14 + 100*l**3/21 - 141*l**2/7 + 662. Factor a(w).
-2*w*(w - 47)*(w - 3)/7
Let f(k) be the third derivative of k**5/60 + k**4/4 - 2*k**3 + 16*k**2. Let y be f(8). Suppose 2*w**2 + 6*w**2 - w**2 + 40*w - 11*w**2 - y = 0. Calculate w.
5
Suppose 2*w = -10, 3*f + 4*w = -0*f + 40. Let -16*z - f*z - 18*z + 14*z + 5*z**2 = 0. Calculate z.
0, 8
Let y(b) = 13 + 16 + 9 - 14 + 12*b. Let u be y(-2). Factor -5/4*j**5 + u + 9/2*j**4 - 3/4*j - 6*j**3 + 7/2*j**2.
-j*(j - 1)**3*(5*j - 3)/4
Let s be ((228/(-72) + 3)*51 + 13)/((-21)/(-6)). Suppose s*q**4 + 9/7*q**2 + 0*q + 0 - 30/7*q**3 = 0. What is q?
0, 1/3, 3
Factor 346/7 - 2/7*v**2 - 344/7*v.
-2*(v - 1)*(v + 173)/7
Let h(p) be the first derivative of -3*p**5/20 - 591*p**4/16 - 49*p**3 + 5571. Find o, given that h(o) = 0.
-196, -1, 0
Let y(o) be the third derivative of 152*o**2 - 2/15*o**6 + 2/3*o**4 + 0 - 8/3*o**3 + 2/105*o**7 + 0*o + 1/5*o**5. Determine w, given that y(w) = 0.
-1, 1, 2
Suppose 75/4*d**2 + 0*d - 5/2*d**3 + 0 - 1/4*d**4 = 0. What is d?
-15, 0, 5
Let g(l) be the second derivative of l**5/140 - 17*l**4/12 - 247*l**3/14 - 1125*l**2/14 - 9*l - 106. Let g(b) = 0. Calculate b.
-3, 125
Let u(x) = 4*x**2 + 28*x + 24. Let n(p) = p + 1. Let l(y) = -2 + 75*y - 74*y - y**3 + 3. Let h be l(1). Let j(t) = h*u(t) + 4*n(t). Solve j(d) = 0 for d.
-7, -1
Suppose -k = -b - 4, 34*b + k + 2 = 38*b. Let p(w) be the first derivative of 4/5*w**b + 24/5*w**3 - 16 + 0*w + 81/10*w**4. Factor p(q).
2*q*(9*q + 2)**2/5
Let d(p) be the first derivative of -5/6*p**3 + 57/4*p**2 - 21 - 99/2*p - 1/8*p**4. Find z such that d(z) = 0.
-11, 3
Let x = -149 - -160. Suppose -7 = 2*m - 5*z, 2*m - 9*z - x = -10*z. Suppose 4/5 + 54/5*v**2 + 46/5*v**3 + 26/5*v + 14/5*v**m = 0. Calculate v.
-1, -2/7
Suppose -15*z**3 + 36 - 383*z - 272*z + 1000*z**2 - 366 = 0. What is z?
-1/3, 1, 66
Let v(s) be the second derivative of -69*s - 9/10*s**3 + 1/20*s**4 + 12/5*s**2 + 0. What is o in v(o) = 0?
1, 8
Suppose 4 = 2*p + 2*z, -p - 13*z + 9*z + 2 = 0. Let j(u) be the third derivative of 5/12*u**4 + 7/24*u**6 + 0*u + 21*u**p + 0 + 0*u**3 - 3/4*u**5. Factor j(x).
5*x*(x - 1)*(7*x - 2)
Let o(i) be the third derivative of -i**8/13440 + i**7/1680 + i**6/160 + i**5/30 + 7*i**3/2 + 3*i**2 - i. Let q(j) be the third derivative of o(j). Factor q(y).
-3*(y - 3)*(y + 1)/2
Let k be (2000/(-4) - 3)*-2. Let j = 5031/5 - k. Find r such that -j*r**4 + 16/5*r + 8/5*r**3 - 18/5*r**2 - 1 = 0.
1, 5
Factor -x**2 - 122*x + 72*x - 223729 + 505*x + 491*x.
-(x - 473)**2
Let a(m) = -2*m**2 - m. Let i(c) = -7*c**2 - 9*c - 6. Let o be (-440)/66*(3 - 0/1). Let z(l) = o*a(l) + 5*i(l). Find p, given that z(p) = 0.
-1, 6
Let x be (-3 - 0) + 1480/74 - 5/1. Let n(m) be the first derivative of x + 4/5*m**5 + 0*m**4 + 0*m**3 + 0*m + 0*m**2. Determine a so that n(a) = 0.
0
Let b(u) be the third derivative of 0*u**3 + u**2 - 3/8*u**4 + 1 + 0*u + 1/120*u**6 + 0*u**5. Factor b(v).
v*(v - 3)*(v + 3)
Let i(d) be the second derivative of -3/5*d**5 + 16*d + 0 - 6*d**3 + 0*d**2 - 3*d**4 - 2/45*d**6. Factor i(z).
-4*z*(z + 3)**3/3
Let -8*k + 17/2*k**2 + 17/2*k**3 - 8 - 1/2*k**5 - 1/2*k**4 = 0. What is k?
-4, -1, 1, 4
Suppose 228 = 28*r + 48*r. Let p(u) be the first derivative of 0*u**r - 14 - 3/4*u**4 + 3/2*u**2 + 0*u. Solve p(x) = 0 for x.
-1, 0, 1
Let n(u)