*p**3 + 5/2*p**4 + 0*p + 14/5*p**5. Factor q(u).
2*u*(u - 1)*(u + 1)**2*(u + 6)
Let m = 102 + -100. Let x be (m/(-10))/(10/(-100)). Suppose 2*w**4 - 5*w**4 + 10*w**x + 9*w**3 - 16*w**2 = 0. What is w?
0, 1, 2
Let f be -20*198/10560 - 1086/(-80). Solve 60*z - 6/5*z**5 - 198/5*z**3 + f*z**4 + 6*z**2 + 0 = 0.
-1, 0, 2, 5
Let w be -2*(1*(-83)/(-14) - 6). Let f(n) be the first derivative of w*n**2 + 2/35*n**5 - 4/21*n**3 - 3 + 1/21*n**6 - 1/7*n**4 + 2/7*n. Factor f(h).
2*(h - 1)**2*(h + 1)**3/7
Find i such that -17*i**2 - 10*i**4 - 6*i**2 + 11*i**3 - i**2 + 3*i**5 - 8*i**4 - 56*i**3 = 0.
-1, 0, 8
Factor 1086*n - 3 + 107747712*n**2 - 1 - 107747168*n**2.
2*(n + 2)*(272*n - 1)
Factor 307*i + 101*i**3 + 1/2*i**4 - 205/2 - 306*i**2.
(i - 1)**3*(i + 205)/2
Let m(c) = -c**3 + 6*c**2 - 13*c + 20. Let h be m(7). Let x be (((-18)/(-2))/3)/((-90)/h). Factor 0 - 2/5*q**2 - 1/5*q**x + 0*q + 3/5*q**3.
-q**2*(q - 2)*(q - 1)/5
Let b = -98624 - -98626. Let -121/5 - 1/5*f**4 - 24/5*f**3 - 264/5*f - 166/5*f**b = 0. Calculate f.
-11, -1
Let u(a) = -a**3 + a**2 - 2*a - 1. Let w(h) = -2*h**4 - 134*h**3 - 2600*h**2 + 5652*h - 2874. Let q(k) = -14*u(k) - w(k). What is i in q(i) = 0?
-38, 1
Let n = 277/82 - -4/369. Let q(j) be the second derivative of -31*j + 7/15*j**5 + 28/3*j**3 + 12*j**2 + 1/45*j**6 + n*j**4 + 0. Factor q(a).
2*(a + 1)**2*(a + 6)**2/3
Suppose -7*m + 4*x = -12*m + 15, 4*m - 12 = -4*x. Factor -135*b**3 + 1313*b + 3*b**4 + 9*b**m + 1620*b**2 - 30375 - 5363*b.
3*(b - 15)**3*(b + 3)
Let p be 89 + -8 + (-2 - -4)/(-2). Suppose 4*m - p = -0*m. Find l, given that 63*l**2 - 21*l**2 + 16*l - m*l**2 - 18*l**2 = 0.
-4, 0
Let n(f) = 23*f + 931. Let z be n(-39). Suppose -6 = -20*s + z. Solve 49/6 - 7/3*p + 1/6*p**s = 0 for p.
7
Let h be (18 + 2)/5 - 0/1. Factor -2*z**h - 144 - 10*z + 8*z**2 + z**4 + 8*z**3 - 77*z - 9*z.
-(z - 6)**2*(z + 2)**2
Let k(v) = -v**3 + v**2 + 11*v + 8. Suppose -14*m + 128 = 18*m. Let g be k(m). Solve 2/5*d**5 + 4/5*d**2 + 0*d**g + 0 - 6/5*d**3 + 0*d = 0 for d.
-2, 0, 1
Let t(n) be the first derivative of n**4/20 + 137*n**3/15 + 2508*n**2/5 + 4356*n - 3706. Factor t(a).
(a + 5)*(a + 66)**2/5
Let y = 1/162056 - -3241113/1134392. Factor 48/7*i**3 - y*i**4 + 2/7*i**5 + 2*i + 0 - 44/7*i**2.
2*i*(i - 7)*(i - 1)**3/7
Let 2/3*o**5 + 356/3*o**2 + 88*o**3 + 20*o**4 + 0 + 50*o = 0. What is o?
-25, -3, -1, 0
Let b be (-525)/14*201/(-3015). Factor b*q + 0 - 1/6*q**2.
-q*(q - 15)/6
Let b(s) be the second derivative of s**7/210 - s**5/2 + 125*s**3/6 + 7092*s. Determine j, given that b(j) = 0.
-5, 0, 5
Let n = 602329 - 6625615/11. Determine p, given that -56/11*p**2 + 60/11*p**3 + n*p**5 + 0 + 16/11*p - 26/11*p**4 = 0.
0, 1/2, 2
Let k(v) be the third derivative of -v**6/300 - 17*v**5/50 + 3*v**2 + 62. Factor k(s).
-2*s**2*(s + 51)/5
Let s(i) be the first derivative of 0*i + 3/32*i**4 - 3/4*i**3 + 3/2*i**2 - 66. Let s(z) = 0. Calculate z.
0, 2, 4
Let f(j) = 407*j**2 - 1220*j - 1. Let g be f(3). Factor -8/3*l + 2/3*l**2 + g.
2*(l - 3)*(l - 1)/3
Let y(b) be the first derivative of 1/45*b**6 + 14 + 0*b**2 + 4/75*b**5 + 0*b + 0*b**3 + 1/30*b**4. Find z, given that y(z) = 0.
-1, 0
Let x = -65363 + 196097/3. Find m such that -2*m**2 + 0 + 0*m - x*m**3 = 0.
-3/4, 0
Let m(c) = -2 + 11*c**3 - 12*c**3 + c + 6*c - 39 - 10*c**2. Let g be m(-11). Solve 16/7*o**2 + 32/7*o - 20/7*o**4 + 0 - 24/7*o**g - 4/7*o**5 = 0 for o.
-2, 0, 1
Let w(x) = -6*x**3 - 54*x**2 + 114*x - 63. Let n(z) = 5*z**3 + 53*z**2 - 113*z + 61. Let f(u) = 3*n(u) + 2*w(u). Find d such that f(d) = 0.
-19, 1
Suppose -c + 5*c = 4*k + 16, 3*k = -c. Factor g**3 + 8 - 14*g + 16*g + 3*g**c - 14*g.
4*(g - 1)**2*(g + 2)
Let g(m) be the first derivative of 2*m**3/3 - 7*m**2 - 463. Factor g(x).
2*x*(x - 7)
Let r = 943180 - 943176. Factor 0*s + 1/3*s**5 - 5/3*s**r + 0 + s**3 + 3*s**2.
s**2*(s - 3)**2*(s + 1)/3
Find q, given that -1902*q - 10878588 + 7578*q - 9359870 + 6882*q + 7096511 - 3*q**2 = 0.
2093
Let k(t) be the first derivative of 57/4*t**4 + 3/5*t**5 + 48*t + 51*t**3 + 87 + 147/2*t**2. Factor k(p).
3*(p + 1)**3*(p + 16)
Let c(x) be the third derivative of -3*x**6/40 - 17*x**5/20 - 9*x**4/8 + 5*x**3/2 - 47*x**2 - 31. Find q, given that c(q) = 0.
-5, -1, 1/3
Let n(r) be the first derivative of -r**3 + 192*r**2 + 4140*r - 8541. Suppose n(k) = 0. What is k?
-10, 138
Factor 194688 + 7869*m + 626*m**2 + 7364*m + 79192*m + 4167*m + m**3.
(m + 2)*(m + 312)**2
Let u(c) be the first derivative of 5*c**3/3 + 365*c**2/2 + 6300*c - 12861. Solve u(q) = 0.
-45, -28
Let z = 384 - 314. Let b be (1 - z/4)*448/(-3192). Suppose -10/19*f**3 - 56/19*f + b*f**2 + 16/19 = 0. What is f?
2/5, 2
Suppose -3*f + 3*f = -6*f - 96 + 312. Suppose 1134*b**2 - f*b**3 + 83349 + 3/7*b**4 - 15876*b = 0. Calculate b.
21
Let o(n) be the first derivative of -n**3/27 + 13*n**2/9 - 169*n/9 + 4953. Suppose o(k) = 0. Calculate k.
13
Let d(k) be the third derivative of -k**7/63 + 151*k**6/48 + 1759*k**5/72 - 65*k**4/4 - 4534*k**2. Solve d(f) = 0 for f.
-4, 0, 1/4, 117
Let w = -1872373/4 + 468097. Suppose 3/4*t**2 + 3 - w*t = 0. Calculate t.
1, 4
Let p(n) be the first derivative of 2*n**5/13 + 56*n**4/13 + 88*n**3/39 - 1071. Factor p(w).
2*w**2*(w + 22)*(5*w + 2)/13
Let w(x) = 75 + x**2 - 170 + 94. Let r(l) be the first derivative of -7*l**3/3 - 15*l**2 + 2*l - 1. Let t(h) = -r(h) - 2*w(h). Suppose t(y) = 0. Calculate y.
-6, 0
Let k = -11356 - -11360. Let q(f) be the first derivative of 12/95*f**5 + 4/19*f - 1/57*f**6 - 7/19*f**k + 32/57*f**3 - 6 - 9/19*f**2. Factor q(w).
-2*(w - 2)*(w - 1)**4/19
Let v = 7925 + -7919. Let f(z) be the third derivative of 1/540*z**v + 0*z - 5*z**2 - 1/36*z**4 + 0 - 2/27*z**3 + 0*z**5. Suppose f(g) = 0. Calculate g.
-1, 2
Let n(k) be the third derivative of 1/90*k**6 + 1/15*k**5 + 6*k - 4*k**2 + 2/9*k**3 + 0 + 1/6*k**4. Factor n(f).
4*(f + 1)**3/3
Let a = 78 - -27. Suppose -a*h + 32 = -97*h. Determine n so that -5/3*n**h + 17/3*n**3 + 4/3*n - 16/3*n**2 + 0 = 0.
0, 2/5, 1, 2
Let i(s) = 5*s**4 - 20*s**3 - 60*s**2 + 180*s + 340. Let z be (187 - 2)*(-7)/(70/4). Let l = z + 73. Let a(m) = m + 1. Let b(o) = l*i(o) + 20*a(o). Factor b(g).
-5*(g - 4)**2*(g + 2)**2
Let v(t) be the third derivative of t**5/420 + 4*t**4/21 - 11*t**3/14 - 3030*t**2. Factor v(i).
(i - 1)*(i + 33)/7
Factor -5897850*j**2 + j**3 + 28 + 29*j + 34 + 5897818*j**2.
(j - 31)*(j - 2)*(j + 1)
Let q(s) be the second derivative of 0*s**3 - 2/3*s**4 - 2/15*s**6 + s + 0*s**2 + 3/5*s**5 - 11. Factor q(z).
-4*z**2*(z - 2)*(z - 1)
Let o(w) = 3*w**2 + 6*w + 6. Let r(k) = 0*k - 6*k - 3 - 3*k**2 - 4. Let n(z) = 2*z**2 + 57*z - 25. Let d be n(-29). Let s(v) = d*o(v) + 3*r(v). Factor s(f).
3*(f + 1)**2
Let i(c) be the first derivative of -2*c**3/3 + 27*c**2 - 100*c + 383. Factor i(z).
-2*(z - 25)*(z - 2)
Suppose 39*a = 47*a - 32. Factor -94*m**3 + 4*m**a - 11*m + 3*m + 97*m**3 - 10*m**2 - m**5.
-m*(m - 4)*(m - 2)*(m + 1)**2
Let i = 3331/112 + -817/28. Let k(w) be the third derivative of -i*w**4 + 0*w**3 + 3/8*w**5 + 0*w + 19*w**2 - 7/80*w**6 + 1/140*w**7 + 0. Factor k(f).
3*f*(f - 3)**2*(f - 1)/2
Let w(i) = -3*i + 4*i + 180 - 150. Let u be w(-25). Factor -40*z**2 - 43*z**3 + 8*z**3 + 80*z + 574 - u*z**4 - 574.
-5*z*(z - 1)*(z + 4)**2
Let u(j) be the second derivative of 1/80*j**5 + 1/12*j**3 - 7/96*j**4 + j + 0 - 4*j**2. Let n(h) be the first derivative of u(h). Suppose n(o) = 0. What is o?
1/3, 2
Suppose 4*i - 36 = 28. Suppose 2*d = 58 - 10. Find k, given that 3*k**2 + 22*k + 47 + d*k - i*k + 28 = 0.
-5
Suppose 51*y = 58*y - 1624. Let n be 3/10*y/87. Let -4/5*h + 1/5*h**2 + n = 0. What is h?
2
Let i(l) = 2*l**4 + 4*l**3 - 38*l**2 - 2*l + 2. Let o(a) = a**3 + a**2 - a + 1. Let v(n) = -i(n) + 2*o(n). Solve v(z) = 0 for z.
-5, 0, 4
Let c(a) = -2*a**2 + 1. Let k(i) = 11*i**2 - 2*i + 2. Suppose 0 = -17*f + 15*f + 12. Let v(m) = f*c(m) + k(m). Factor v(j).
-(j - 2)*(j + 4)
Suppose -6*o = -3*o + f + 27, 2*f - 34 = 5*o. Let l = o + 13. What is t in -9*t**5 - 10*t - 26*t + 8 - 12*t**4 + 25*t**3 + t**l + t**5 + 22*t**2 = 0?
-2, 2/7, 1
Let x be (225/21)/3 + 24/(-42). Suppose 6*g = g + 3*k + 4, 5*k - 16 = -x*g. Factor -7*y**3 - 1 + y**g - 3*y - 4*y**2 + 6*y**3.
-(y + 1)**3
Let t(c) be the second derivative of -161051/4*c**2 - 11/12*c**6 - 73205/12*c**3 - 59*c + 0 - 121/4*c**5 - 66