p) = 140*p**3 - 109*p**2 - 169*p + 127. Let x(b) = 105*b**3 - 82*b**2 - 127*b + 96. Let y(z) = 8*w(z) - 11*x(z). Factor y(m).
-5*(m - 1)**2*(7*m + 8)
Let b(w) be the first derivative of -1/11*w**3 - 1/55*w**5 - 5/44*w**4 + 0*w + 0*w**2 + 190 + 1/66*w**6. Factor b(a).
a**2*(a - 3)*(a + 1)**2/11
Let y(q) = 4*q**2 + 4*q + 5. Let h(v) = 4*v**2 - 2*v - 3. Let r(i) = -5*h(i) - 3*y(i). Let r(u) = 0. What is u?
-1/16, 0
Let y = -229875938 + 659974040782/2871. Let x = y + 10/261. Let 294/11*i**4 + 612/11*i**2 - x*i**3 + 16/11 - 168/11*i = 0. Calculate i.
2/7, 1/3, 2
Let c(g) be the first derivative of g**5/36 - 535*g**4/36 + 57245*g**3/18 + g**2/2 - 176*g - 355. Let k(u) be the second derivative of c(u). Factor k(a).
5*(a - 107)**2/3
Determine h so that -184*h**2 - 1584/13*h - 2/13*h**5 - 1212/13*h**3 + 0 - 210/13*h**4 = 0.
-99, -2, 0
Let d be 25 + (-44)/(-23 + 25). Determine h so that 3/4*h**4 - 3*h**2 + 0 - 3/4*h**3 + d*h = 0.
-2, 0, 1, 2
Let r(n) = -n**2 - 410*n + 35271. Let o be r(-483). Suppose -6*t**4 + 2/3*t + 2/3*t**5 + o*t**2 - 4/3*t**3 - 6 = 0. What is t?
-1, 1, 9
Suppose -p + 4*p - 4 = 5*y, 2*y - 2 = 0. Suppose 8*c**2 - 48*c**p + 248*c**5 - 43*c**2 - 12*c - 4*c**4 - 252*c**5 - 5*c**2 - 20*c**4 = 0. Calculate c.
-3, -1, 0
Let i(o) be the second derivative of -5*o**4/12 - 105*o**3 + 635*o**2/2 - 709*o. Suppose i(a) = 0. What is a?
-127, 1
Suppose -11*n = -3*d + 69, -4*n + 3164*d = 3165*d - 23. Determine q, given that -34/3*q**2 + 9*q**3 - 8*q + n - 2/3*q**4 = 0.
-1/2, 0, 2, 12
Let w(b) = b**3 + 21*b**2 + 2*b + 110. Let l be w(-21). Let y be (-50)/(-720)*l - 6/27. Solve y*s - 9/2*s**2 + 3/2*s**3 - 3/2 = 0 for s.
1
Let v be 8 + (-25144)/1200 + 13. Let a(i) be the third derivative of 0 - v*i**5 - 1/75*i**6 + 0*i + 1/30*i**4 + 0*i**3 - 23*i**2. Solve a(t) = 0.
-2, 0, 1/4
Determine x so that 417*x**4 + 1010*x + 756 + 5*x**5 + 165*x**2 - 110*x + 4*x**5 - 3798*x**2 + 1551*x**3 + 0*x**5 = 0.
-42, -6, -1/3, 1
Let q(v) be the second derivative of v**7/6300 - v**6/1350 - v**5/60 - 31*v**3/6 + 51*v. Let j(d) be the second derivative of q(d). Factor j(k).
2*k*(k - 5)*(k + 3)/15
Suppose 25/2*h**2 + 9*h + 2 + 27/4*h**3 + 5/4*h**4 = 0. What is h?
-2, -1, -2/5
Let o(c) be the second derivative of c**6/6 + 187*c**5 + 117185*c**4/2 + 697510*c**3/3 + 695645*c**2/2 + 13*c - 293. Determine p, given that o(p) = 0.
-373, -1
Let i(d) be the second derivative of -58*d**6/75 - 21*d**5/100 + 59*d**4/30 + 7*d**3/10 - d**2/5 + 5*d + 81. Determine s, given that i(s) = 0.
-1, -1/4, 2/29, 1
Let g(b) be the second derivative of b**6/135 + b**5/18 - b**4/54 - 17*b**3/27 + 4*b**2/3 + 975*b. Suppose g(x) = 0. What is x?
-4, -3, 1
Let k(b) = 340*b**2 - 1725*b + 10. Let t(i) = -409*i**2 + 1726*i - 12. Let s(j) = -6*k(j) - 5*t(j). Let s(v) = 0. What is v?
-344, 0
Factor 141*f - 471*f**3 - 153*f + 474*f**3 + 9*f**2.
3*f*(f - 1)*(f + 4)
Let x = 2644/65 - 521/13. Let l(h) be the second derivative of -x*h**2 + 1/2*h**3 + 3/100*h**5 - 1/5*h**4 + 0 + 18*h. Factor l(j).
3*(j - 2)*(j - 1)**2/5
Let b(v) = -10*v**2 - 218*v + 47. Let s be b(-22). Let o(x) be the first derivative of 0*x - 4/7*x**2 - 1/14*x**4 - 8/21*x**s - 5. Find r such that o(r) = 0.
-2, 0
Let r = 161198 + -805982/5. Find y such that -2/5*y**4 + r*y**3 - 24/5*y + 4/5*y**2 - 18/5 = 0.
-1, 3
Suppose -134*a = 33*a - 334. Let v(y) be the first derivative of 1/5*y - 8 - 1/4*y**a - 1/40*y**4 + 2/15*y**3. Factor v(k).
-(k - 2)*(k - 1)**2/10
Suppose -10 = 5*w - 30*o + 25*o, 2*w = -4*o + 38. Let b(n) be the first derivative of -3/16*n**4 + 1/20*n**w + 13 + 1/12*n**3 + 3/8*n**2 - 1/2*n. Factor b(k).
(k - 2)*(k - 1)**2*(k + 1)/4
Let t(v) be the first derivative of -v**5/20 + 21*v**4/4 - 441*v**3/2 + 25*v**2/2 + 36. Let y(j) be the second derivative of t(j). Factor y(l).
-3*(l - 21)**2
Suppose -18191447/9 + 1/9*g**4 - 788/9*g**3 + 68906/3*g**2 - 17983940/9*g = 0. What is g?
-1, 263
Find h, given that -30*h**5 - 130*h**4 + 365/2*h**3 - 40 + 105*h**2 - 175/2*h = 0.
-16/3, -1/2, 1
Let p(w) be the third derivative of 0*w + 0*w**3 - 1/144*w**6 - 5/24*w**4 + 67 + w**2 - 7/72*w**5. Factor p(c).
-5*c*(c + 1)*(c + 6)/6
Let g(v) be the third derivative of v**7/490 - 11*v**6/280 + v**5/14 + 9*v**4/7 + 10*v**2 - 22*v. Determine y, given that g(y) = 0.
-2, 0, 4, 9
Let y(i) be the first derivative of -i**5 - 5*i**4/4 + 20*i**3 - 10*i**2 - 80*i + 1609. Factor y(u).
-5*(u - 2)**2*(u + 1)*(u + 4)
Let k(v) be the second derivative of -v**4/42 + 75*v**3/7 - 32*v**2 + v + 503. Determine c so that k(c) = 0.
1, 224
Let h(b) be the first derivative of b**5/25 + 7*b**4/4 + 142*b**3/5 + 1008*b**2/5 + 2592*b/5 + 3171. Suppose h(x) = 0. Calculate x.
-12, -9, -2
Let p(r) be the second derivative of -5*r**4/12 + 65*r**3/2 + 940*r**2 + 11510*r. Let p(g) = 0. What is g?
-8, 47
Let n(x) = x**3 - 15*x**2 - 16*x + 4. Let v be n(16). Factor -160*u**v + 2*u**5 + 160*u**4 - 2*u**3.
2*u**3*(u - 1)*(u + 1)
Let m be 0 + 1 - (-5)/((-75)/(-15)). Let j = -6 + 6. Factor -2/15*t**m + j + 2/15*t.
-2*t*(t - 1)/15
Let o(x) = -x**3 + 61*x**2 + 11*x - 547. Let a(f) = -2*f**3 + 121*f**2 + 23*f - 1084. Let u(c) = -2*a(c) + 5*o(c). Factor u(b).
-(b - 63)*(b - 3)*(b + 3)
Factor 126 + 3*p - 3/4*p**3 - 63/2*p**2.
-3*(p - 2)*(p + 2)*(p + 42)/4
Let j be (-2)/(-134) - (-113620)/234232. Determine h, given that 648 - 36*h + j*h**2 = 0.
36
Let w be (169/(-4004) - (-17)/68)*(0 - (-35)/10). Factor -w*q + 10/11*q**2 + 2/11*q**3 - 40/11.
2*(q - 2)*(q + 2)*(q + 5)/11
Let u = 80 + -77. Suppose 7*h - 9 = -z + 2*h, -2*h = u*z - 14. Find d such that z*d**2 + 17*d + 16*d - 2*d**2 - 6 - 37*d = 0.
-1, 3
Let n be (185/(-111))/(10/(-84)). Factor 4*z**2 - 3*z**2 - 13 + 40 + 6 - n*z.
(z - 11)*(z - 3)
Let i = -109640 + 109640. Find x such that 12/5*x**2 + 18/5*x**5 + 0*x + 74/5*x**3 + 24*x**4 + i = 0.
-6, -1/3, 0
Find a such that 18/7*a**3 - 2/7*a**5 + 128/7*a - 456/7 - 38/7*a**4 + 50*a**2 = 0.
-19, -2, 1, 3
Let a(s) be the third derivative of -s**10/20160 + s**9/840 - 9*s**8/1120 + 11*s**4/6 + 38*s**2. Let q(v) be the second derivative of a(v). Factor q(f).
-3*f**3*(f - 6)**2/2
Suppose 0 = -5*k - 5*s - 25, -2*k + 157*s = 158*s + 2. Let q(i) be the first derivative of -i**2 + 0*i - 2/3*i**k + 26 + i**4. Factor q(r).
2*r*(r - 1)*(2*r + 1)
Factor 112*n**2 - 62*n**2 - 44*n**2 + 17*n**3 - 6*n**3.
n**2*(11*n + 6)
Determine m so that 756/5*m**2 + 768/5*m - 3/5*m**4 + 0 + 36*m**3 = 0.
-2, 0, 64
Let q = 76 - 89. Let y(j) = 3*j**5 - 3*j**4 - 12*j**3 + 6*j. Let a(x) = -7*x**5 + 5*x**4 + 25*x**3 - 13*x. Let k(d) = q*y(d) - 6*a(d). Factor k(z).
3*z**3*(z + 1)*(z + 2)
Let h(z) be the first derivative of -9/2*z**3 + 64 - 7/8*z**4 - 5*z - 29/4*z**2 + 1/10*z**5. Factor h(b).
(b - 10)*(b + 1)**3/2
Suppose 0 = -770*j + 773*j - g, 0 = 2*g - 24. Suppose 391/2*c**2 + 9/2 + 60*c**3 - 200*c**j - 60*c = 0. What is c?
-1, 3/20, 1
Let b(z) be the first derivative of z**9/3024 - z**8/1680 - z**7/840 + z**6/360 - 4*z**3 - 149. Let y(k) be the third derivative of b(k). Factor y(s).
s**2*(s - 1)**2*(s + 1)
Let k(c) be the second derivative of -c**5/40 - 23*c**4/8 + 145*c**3/2 - 200*c**2 - 2*c + 39. Let k(b) = 0. Calculate b.
-80, 1, 10
Let n = 102 + -13. What is l in 87808 + 48*l**3 + 45*l**3 - n*l**3 + 336*l**2 + 9408*l = 0?
-28
Let c be ((-2990)/(-225) - 4) + 2 + (-108)/45. Factor 0 + 2/9*p**4 + 22/9*p**3 + 32/3*p + c*p**2.
2*p*(p + 3)*(p + 4)**2/9
Let g(n) be the third derivative of n**6/40 - n**5 - 119*n**4/8 - 75*n**3 - 528*n**2. Factor g(b).
3*(b - 25)*(b + 2)*(b + 3)
Let o(c) be the first derivative of 192/5*c**3 - 23 - 18432/5*c**2 - 3/20*c**4 + 786432/5*c. Factor o(w).
-3*(w - 64)**3/5
Factor j**2 + j**2 - 565587 + 2053456 - j**2 - 3322*j + 1271052.
(j - 1661)**2
Let m = -68447/39 - -22833/13. Factor m + 5/3*z + 1/3*z**2.
(z + 1)*(z + 4)/3
Let n be 16 + (0 + -4 - 114/(-38)). Let l be (-7 + (-230)/10)*n/(-8). Find b such that 15*b + l*b**2 + 1 = 0.
-2/15
Let g be 9 - (1/(84/705) - 95/665). Suppose 0*s**3 + 1/2*s - 1/4*s**4 + g*s**2 + 0 = 0. Calculate s.
-1, 0, 2
Suppose -1640*m = -303*m - 34762. Factor 9*d**3 + 0 + 20*d - 1/2*d**5 - m*d**2 + 1/2*d**4.
-d*(d - 2)**3*(d + 5)/2
Let k = -239123 - -717413/3. Determine v so that k + 2/3*v**3 + 16*v**2 + 30*v = 0.
-22, -1
Let t be (13 - 18)*((-168)/15)/7. Let s(k) be the third derivative 