ppose 0 = -5*p + p - 44. Let o be 10/(-55) + (-167)/p. Solve -f**3 + 6*f**3 + o + 0*f**3 + 25*f**2 + 35*f = 0.
-3, -1
Let j(q) be the second derivative of q**8/1680 + q**7/600 + q**6/900 - 8*q**3/3 + 29*q. Let a(w) be the second derivative of j(w). Solve a(v) = 0 for v.
-1, -2/5, 0
Let r(m) be the third derivative of m**5/6 + 55*m**4/8 + 40*m**3/3 + 4*m**2 - 208. Factor r(j).
5*(j + 16)*(2*j + 1)
Suppose 133 = -33*o + 133. Let i(c) be the third derivative of -1/16*c**3 + 1/160*c**5 + 14*c**2 + 0 + 0*c + o*c**4. Determine g, given that i(g) = 0.
-1, 1
Let x(f) = -5*f - 45. Let z be x(-9). Suppose z = -3*s - 0*s - 5*w + 1, 4*w + 2 = -s. Find v such that -2*v**s - 4*v**2 + 5*v - 4*v**3 - 9*v - 2*v**2 = 0.
-1, 0
Factor b**3 - 41 + b**3 + 52*b + 54 - 61 - 18*b**2.
2*(b - 4)*(b - 3)*(b - 2)
Let a be ((-12)/(-9))/4 - (-1)/(-3). Suppose 7*p - 8 - 13 = a. Find h such that 7*h**4 + 75*h**p - 45*h**2 - 9*h**4 + 5*h**5 - 8*h**4 - 25*h**4 = 0.
0, 1, 3
Let b(h) be the second derivative of h**6/3 + 13*h**5/4 - 10*h**4/3 - 35*h**3/6 - 7*h - 17. Solve b(l) = 0 for l.
-7, -1/2, 0, 1
Factor 1280180 - 24*d**2 + 32*d**2 - 3560*d - 2*d**2 - d**2 - 1500*d.
5*(d - 506)**2
Let y be ((-220)/(-24) - 10)*-9 + -7. Let g(p) be the first derivative of -y*p**4 + 4/3*p**3 - p - 6 - 3/5*p**5 + p**2. Find c, given that g(c) = 0.
-1, 1/3, 1
Let a = 40/201 + 1489/1608. Let v(q) be the first derivative of 33 + 1/6*q**3 + a*q**2 + q. Solve v(t) = 0 for t.
-4, -1/2
Let t(f) be the second derivative of f**6/40 - 69*f**5/40 - f - 1123. Factor t(d).
3*d**3*(d - 46)/4
Let n(i) be the third derivative of -i**7/210 + 2*i**6/21 - 139*i**5/210 + 5*i**4/3 - 25*i**3/14 - 1820*i**2. What is f in n(f) = 0?
3/7, 1, 5
Let d = 11551012 - 18781944695/1626. Let f = -2/813 + d. Factor -1/2*y - y**2 + y**4 + 0*y**3 + 0 + f*y**5.
y*(y - 1)*(y + 1)**3/2
Suppose 2/3*d + 2/3*d**2 - 1/2*d**3 - 1/3*d**4 + 1/6*d**5 + 0 = 0. What is d?
-1, 0, 2
Suppose -n = 4*j - 893, 2*j + n - 436 = -3*n. Factor j*c**3 - 219*c**3 - 5*c + 35*c - 25*c**2.
5*c*(c - 3)*(c - 2)
Let q(d) be the first derivative of -27*d**4/16 - 17*d**3/2 + 975*d**2/8 + 525*d/2 - 8076. Solve q(y) = 0 for y.
-70/9, -1, 5
Let h(o) be the third derivative of o**7/630 + 7*o**6/20 + 4093*o**5/180 + 217*o**4/2 + 1922*o**3/9 + 1526*o**2 - o - 2. Factor h(q).
(q + 1)**2*(q + 62)**2/3
Let r = 2/323467 + 1500563403/1617335. Let o = r - 925. Let -2/5*l**2 + o*l + 0 = 0. Calculate l.
0, 7
Suppose 5*o - 30 = 3*s, 4*o = -9*s + 6*s + 24. Let b(n) be the first derivative of -1/2*n**4 - 19 - 2/3*n**3 + 1/3*n**o + 0*n + 0*n**2 + 2/5*n**5. Factor b(i).
2*i**2*(i - 1)*(i + 1)**2
Find s such that -102/13*s**3 + 8/13*s**4 + 0 + 0*s - 2*s**2 = 0.
-1/4, 0, 13
Suppose 326 = 2*r + 4*x, -2*r - 5*x = -7*x - 308. Find l such that 163*l - r*l + 8*l**2 - 13 + 11 = 0.
-1, 1/4
Let a(t) = -t**2 + 9*t + 2. Let f be a(5). Determine i, given that 29*i**2 + 98*i - 83*i**2 - 24*i**2 + f*i**3 - 2*i**4 + 101 - 141 = 0.
1, 4, 5
Let p(t) be the second derivative of t**6/70 - 9*t**5/35 + 9*t**4/28 + 11*t**3/7 - 6079*t. Factor p(h).
3*h*(h - 11)*(h - 2)*(h + 1)/7
Factor 2/11*w**2 + 1453078 - 1028*w.
2*(w - 2827)**2/11
Factor 196*c**2 + 12*c + 2*c**3 - 5*c**3 - 251 - 179*c**2 + 115*c**2 - 277.
-3*(c - 44)*(c - 2)*(c + 2)
Factor -138393*q - 114878 - 6360*q**3 + 7323*q + 203*q**2 + 823*q**2 + 6358*q**3 - 17220.
-2*(q - 257)**2*(q + 1)
Let m(q) be the second derivative of -q**6/30 - 103*q**5/20 - 255*q**4/4 - 425*q**3/6 + 2375*q**2 - q - 572. Suppose m(w) = 0. What is w?
-95, -5, 2
Let r be 1*4/((-20)/5). Let i = 40 + r. Find s such that -2*s**2 + 14 - i + 10*s + s**2 = 0.
5
Let x(g) be the second derivative of -3*g**7/7 - 488*g**6/15 - 54*g**5/5 + 2*g + 410. Determine b so that x(b) = 0.
-54, -2/9, 0
Let h be 9/(-16)*4*(-40)/30. Let b(w) be the first derivative of -12*w + 1/4*w**4 + 1/3*w**h - 25 - 4*w**2. Find k such that b(k) = 0.
-2, 3
Let s = -458 - -482. Let 22*r - s - 67*r - r**2 + 31*r = 0. What is r?
-12, -2
Suppose 263*y - 266*y = -78. Let i be (-22)/y + (-24)/(-24). Let 0 - 4/13*x + i*x**2 = 0. Calculate x.
0, 2
Let u(o) = o**3 - 28*o**2 - 207*o + 104. Let z be u(34). Let r(q) be the third derivative of 12*q**z - 35/24*q**4 + 5/3*q**3 + 0 + 0*q + 5/12*q**5. Factor r(b).
5*(b - 1)*(5*b - 2)
Let h(w) be the first derivative of -w**4/6 + 32*w**3/9 + 17*w**2/3 - 1724. Factor h(a).
-2*a*(a - 17)*(a + 1)/3
Let o(l) = -6*l - 68. Let d be o(-12). Determine u so that 486*u**2 - 245*u**2 - 8*u + d*u**3 - 245*u**2 = 0.
-1, 0, 2
Let h(i) be the third derivative of -i**6/120 - 4*i**5/15 + i**4/24 + 8*i**3/3 + 423*i**2 + 1. Let v be h(-16). Factor 0 + 1/3*q**3 + v*q + 5/3*q**2.
q**2*(q + 5)/3
Let l(m) = -13*m - 395. Let b be l(-31). Factor 45 + b*d**2 + 6*d**2 + 10*d**2 - 24*d - 21*d**2.
3*(d - 5)*(d - 3)
Let p(s) be the second derivative of -s**5/12 - 25*s**4/12 - 125*s**3/6 + 101*s**2/2 + 74*s. Let w(j) be the first derivative of p(j). Solve w(h) = 0 for h.
-5
Let a be (-10)/6*(-408)/170. Suppose 4*u = -4*o + a, -6*u = -7*u + 2*o + 4. What is n in -2/5*n**u + 2/5*n + 4/5 = 0?
-1, 2
Factor -1/6*g**3 - 37538 - 38360/3*g - 551/6*g**2.
-(g + 3)*(g + 274)**2/6
Factor 73*m**3 + 35907*m - 632*m - 835*m**2 - 68*m**3 - 34445.
5*(m - 83)**2*(m - 1)
Let g(o) be the second derivative of -o**4/60 + 13*o**3/15 + 12*o**2 - 1213*o. What is q in g(q) = 0?
-4, 30
Let t(f) be the third derivative of -3/10*f**6 + 20*f**2 - 52/15*f**5 - 1/21*f**8 + 2*f - 2*f**4 + 18/35*f**7 + 0 + 0*f**3. Let t(v) = 0. Calculate v.
-1, -1/4, 0, 2, 6
Let f(s) be the second derivative of s**4/24 + 83*s**3/24 - 129*s**2/8 - 132*s + 6. Factor f(q).
(q + 43)*(2*q - 3)/4
Suppose 10/11*v**4 - 1304/11*v**3 + 1016/11 + 4350/11*v**2 - 4072/11*v = 0. What is v?
2/5, 1, 2, 127
Factor 48/11*m + 2/11*m**3 + 0 + 28/11*m**2.
2*m*(m + 2)*(m + 12)/11
Let o(j) = 5*j - 1. Let v(u) = u**2 + 848*u + 188360. Let m(l) = -4*o(l) - v(l). What is i in m(i) = 0?
-434
Let b be -5*-3*4/30. Let u(v) = -6*v**4 + 4*v**3 + 2*v**2 - 2. Let o(q) = -31*q**4 + 20*q**3 + 11*q**2 - 11. Let w(p) = b*o(p) - 11*u(p). Factor w(l).
4*l**3*(l - 1)
Suppose 3*s + 3*u - 18 = -0*u, -5*u = -4*s + 42. Factor -5*k**3 + 10*k**3 - s + 48 - 4*k**2 + 7*k**2 + 2*k**2 - 50*k.
5*(k - 2)*(k - 1)*(k + 4)
Let y = 965 - 895. Suppose 112 = -y*t + 78*t. Find c, given that -2 + 11/2*c**4 + c**3 - t*c - 33/2*c**2 = 0.
-1, -2/11, 2
Let f(h) = -1506*h - 1. Let b be f(-2). Solve -188*a - 1157 + 2002 + b + 2*a**2 + 562 = 0 for a.
47
Suppose i - 12 = -3*y, 2*i = -4*y + 12 + 6. Let b = -4/12909 - -25846/90363. Factor 0*q + b*q**i - 1/7*q**2 + 0.
q**2*(2*q - 1)/7
Let h be ((-340)/238)/(84/(-147)). Suppose 1/4*s - h*s**4 - 9*s**2 - 3/4*s**5 + 21/2*s**3 + 3/2 = 0. Calculate s.
-6, -1/3, 1
Let t = 30715/10102092 + -9/4004. Let o = 60586/42891 - t. Solve 336/17*z**3 - 8*z - 98/17*z**4 - o - 78/17*z**2 = 0.
-2/7, 1, 3
Suppose 0 = 8998*g - 9263*g + 2915. Factor -g + 1/2*d**3 - 10*d**2 - 43/2*d.
(d - 22)*(d + 1)**2/2
Let u(g) be the third derivative of g**5/75 + 13*g**4/60 - 7*g**3/15 - 2107*g**2. Let u(p) = 0. Calculate p.
-7, 1/2
Let b(u) be the second derivative of u**4/3 - 698*u**3/5 + 836*u**2/5 + 4379*u. Factor b(l).
4*(l - 209)*(5*l - 2)/5
Let x(b) be the second derivative of b**6/150 - b**5/25 - 86*b**2 - 25*b - 4. Let v(y) be the first derivative of x(y). Determine w so that v(w) = 0.
0, 3
Let h = 1/2460 + 33/2870. Let p(k) be the third derivative of 1/120*k**6 + 1/168*k**4 + 0*k**3 + 1/490*k**7 + h*k**5 - 7*k**2 + 0 + 0*k. Factor p(s).
s*(s + 1)**2*(3*s + 1)/7
Let s(j) be the second derivative of 7/3*j**3 + 5 - 5*j + 1/12*j**4 - 7/10*j**5 - 1/2*j**2. Let s(o) = 0. Calculate o.
-1, 1/14, 1
Let p(c) be the second derivative of 0*c**3 + 1/30*c**6 - 1/126*c**7 + 1/36*c**4 + 0*c**2 - 1/20*c**5 + 0 - 166*c. Factor p(j).
-j**2*(j - 1)**3/3
Let n be (-17447)/(-876) - (2 + -4)/24. Let r(x) be the first derivative of 80*x + 5/3*x**3 - n*x**2 - 7. Let r(b) = 0. What is b?
4
Let v = -3 - -5. Let z = -14 + 18. Let 4*f - v*f**2 + 0*f**2 + 0*f**4 + 3*f**4 - f**4 - z*f**3 = 0. What is f?
-1, 0, 1, 2
Let c(u) be the third derivative of u**5/420 - 337*u**4/84 + 113569*u**3/42 + 37*u**2 - 20. Factor c(x).
(x - 337)**2/7
Let x be (24/(-14))/(0 - 1/14). Factor -13 + 2*g**2 - x*g + 56 + 29.
2*(g - 6)**2
Let u be (-1)/484*-