 2)**2*(4*u - 1)/5
Let c be 4 - -5 - -54*19/(-114). Factor 0*i - 4/25*i**2 + 2/25*i**3 + c + 2/25*i**4.
2*i**2*(i - 1)*(i + 2)/25
Let s be (-10850)/(-3875)*(-10)/(-18). Factor -4/3 - s*h - 2/9*h**2.
-2*(h + 1)*(h + 6)/9
Suppose -90 = 4*s - 106. Solve 3*b - b**5 - 7*b**4 - b**s + 4*b**5 - 4*b**4 + 18*b**3 - 12*b**2 = 0 for b.
0, 1
Suppose 6 + 11 = 2*d + 5*b, 19 = d - b. Suppose -72*q - 25 - 4*q**2 + 0 - d*q**2 + 57 = 0. What is q?
-4, 2/5
Let -74/9*k + 1/9*k**2 + 1369/9 = 0. What is k?
37
Find a such that -24*a + 0 - 3/2*a**2 = 0.
-16, 0
Let x be ((-34)/(-8))/(5/40). Let q = x - 29. Factor 5*w**3 - 2*w**3 - 3*w**3 + 9*w**3 - q*w**2 + 7*w**4 - 9*w - 2.
(w - 1)*(w + 1)**2*(7*w + 2)
Let x = 294/377 + -799/1508. Factor -1/4*o**4 - 1/4*o**3 + 3/4*o**2 - 1/2 + x*o.
-(o - 1)**2*(o + 1)*(o + 2)/4
Let z(u) be the second derivative of u**6/10 - 13*u**5/20 - 385*u**4/12 - 1375*u**3/6 - 375*u**2 + 28*u. Suppose z(v) = 0. What is v?
-5, -2/3, 15
Let x = -103/21 - -39/7. Let m(f) be the first derivative of 2*f**2 - x*f**3 + 0*f + 1/3*f**6 - 3/2*f**4 + 2/5*f**5 + 6. Factor m(i).
2*i*(i - 1)**2*(i + 1)*(i + 2)
Suppose -33*n = -29*n - 12. Let p(m) be the second derivative of -4/9*m**n + 2/3*m**2 + 1/9*m**4 + 8*m + 0. Find x, given that p(x) = 0.
1
Suppose 271 = -81*x + 139 + 132. Factor -2/5*s**4 - 4/5*s**3 + 0*s**2 + 0*s + x.
-2*s**3*(s + 2)/5
Factor 0 - 2/9*j**3 + 0*j + 16/3*j**2.
-2*j**2*(j - 24)/9
Factor 0 - 8*y + 9 + y**2 - 2 + 5.
(y - 6)*(y - 2)
Let x be (0 + 2)/(1/1). Let f be (-22)/(-10) + -2 - (-117)/65. Factor 0 - 2*d**x + 9*d**3 - 7*d**3 - 2*d + f.
2*(d - 1)**2*(d + 1)
Let h(v) be the third derivative of -v**8/6720 - v**7/84 - 5*v**6/12 + 5*v**5/6 - 36*v**2. Let w(d) be the third derivative of h(d). Factor w(l).
-3*(l + 10)**2
Let f(m) be the second derivative of -m**6/60 + 3*m**5/4 + 21*m**4/8 + 8*m**3/3 - m + 29. Let f(a) = 0. Calculate a.
-1, 0, 32
Let p be ((-175)/55)/(-1) - 2/11. Let r(n) be the third derivative of -1/132*n**4 + 0*n + 2/33*n**3 + 0 + p*n**2 - 1/330*n**5. Let r(b) = 0. Calculate b.
-2, 1
Let i = -7907/7 - -1130. Factor -9/7*n**2 - 9/7*n**3 - 3/7*n**4 + 0 - i*n.
-3*n*(n + 1)**3/7
Suppose -3*v - 3*j - 32 = -35, -v - 5*j + 5 = 0. Factor -1/3*m + v - 1/6*m**2.
-m*(m + 2)/6
Let h(s) be the second derivative of -s**4/48 + 19*s**3/12 - 361*s**2/8 - 62*s. Factor h(d).
-(d - 19)**2/4
Find p such that 53792/11 + 2/11*p**2 - 656/11*p = 0.
164
Let s = -13119/7 + 1875. Factor s*a**2 + 0 + 0*a - 3/7*a**4 + 3/7*a**3.
-3*a**2*(a - 2)*(a + 1)/7
Let v(q) = 3*q + 9. Let b be v(-2). Factor o**3 + 4*o**b - 52*o**2 + 11 + 9 + 37*o**2.
5*(o - 2)**2*(o + 1)
Let 30*j**3 + 16*j - 15*j**2 + 15*j**5 + 15*j**5 - 26*j + 65*j**4 = 0. Calculate j.
-1, -2/3, 0, 1/2
Let g(z) be the second derivative of -5*z**9/3024 + z**8/168 - z**7/168 + 4*z**3/3 - 9*z. Let x(f) be the second derivative of g(f). What is w in x(w) = 0?
0, 1
Let u(s) be the second derivative of s**6/195 - s**5/13 + 4*s**4/13 - 152*s. Find k such that u(k) = 0.
0, 4, 6
Let -104/3*x**3 - 384*x + 256*x**2 + 4/3*x**4 + 0 = 0. Calculate x.
0, 2, 12
Let s(j) be the third derivative of -j**5/140 + 5*j**4/28 + 12*j**3/7 - 178*j**2. Factor s(r).
-3*(r - 12)*(r + 2)/7
Let c be (-20*(-15)/480)/((-5)/(-12)). Suppose c*z + 9/8*z**4 + 1 - 7/4*z**2 - 15/8*z**3 = 0. What is z?
-2/3, 1, 2
Let d(f) be the second derivative of -5*f**7/168 - f**6/8 - f**5/16 + 5*f**4/16 + 5*f**3/12 + 3*f + 5. Suppose d(r) = 0. What is r?
-2, -1, 0, 1
Let h(o) be the third derivative of -o**8/672 - o**7/70 - o**6/30 + o**5/60 + 3*o**4/16 + o**3/3 - 12*o**2 + 2. Solve h(k) = 0.
-4, -1, 1
Let h(x) be the second derivative of 0 + 4/5*x**2 + 8/15*x**3 + 1/50*x**5 + 1/6*x**4 - 5*x. Factor h(q).
2*(q + 1)*(q + 2)**2/5
Let k(w) be the third derivative of -w**5/80 + 41*w**4/32 + 43*w**3/4 + 280*w**2. Find n such that k(n) = 0.
-2, 43
Let t(u) = u**3 - 144*u**2 + 139*u + 578. Let d be t(143). Factor -3/2*h**5 + 0*h**2 - 9/2*h**3 + 0*h + d*h**4 + 0.
-3*h**3*(h - 3)*(h - 1)/2
Find z, given that 198 + 46*z - 84*z - 504*z**2 + 15*z**3 + 243*z + 86*z = 0.
-2/5, 1, 33
Let k(p) = -p**3 - 34*p**2 - 39*p - 194. Let s be k(-33). Factor -1/4*f**5 - 1/4 - 1/4*f + 1/2*f**2 - 1/4*f**s + 1/2*f**3.
-(f - 1)**2*(f + 1)**3/4
Let q be 3/4 + 85/68. Find y, given that 7*y**3 - y**2 + 4*y**5 - 11*y**3 - 4*y**q + y**4 + 4*y**2 = 0.
-1, -1/4, 0, 1
Solve 49700*j + 1476346 + 3750*j**2 + 187576*j + 156*j**3 + j**4 + 837095 + 5376*j**2 = 0 for j.
-39
Let q(s) be the second derivative of 0*s**2 - 27*s + 0 - 4/3*s**3 - 1/6*s**4. Factor q(x).
-2*x*(x + 4)
Let i(n) = -2*n**4 - 5*n**3 + 11*n**2 + 11*n - 3. Let s(l) = -l**3 + l**2 + l - 1. Let u be 3/9*144/8. Let q(t) = u*s(t) - 2*i(t). Factor q(f).
4*f*(f - 2)*(f + 1)*(f + 2)
Factor -81/8*z**3 + 0 - 3/8*z**4 + 147/2*z - 63*z**2.
-3*z*(z - 1)*(z + 14)**2/8
Let j(u) be the first derivative of -7/12*u**2 - 5/24*u**4 - 1/30*u**5 - 1/2*u**3 + 18 - 1/3*u. Factor j(d).
-(d + 1)**3*(d + 2)/6
Let t(o) be the first derivative of -9*o**5/20 + o**4/4 + 45*o**2/2 + 10. Let z(u) be the second derivative of t(u). Factor z(q).
-3*q*(9*q - 2)
Let b be (3/(-54))/((-1)/(-7 + 8)). Let h(c) be the first derivative of 0*c**3 - 1/3*c**2 - 4/9*c - 3 + b*c**4. Factor h(j).
2*(j - 2)*(j + 1)**2/9
Let l(j) be the second derivative of j**5/50 - 29*j**4/30 + 28*j**3/15 + 483*j. What is i in l(i) = 0?
0, 1, 28
Let q be ((-7)/(105/10))/(2/(-9)). Factor -96*v + 24*v**2 + 0*v**3 - q*v**3 + v**3 + 128.
-2*(v - 4)**3
Let r(l) be the first derivative of l**6/54 - 10*l**5/9 + 287*l**4/12 - 5488*l**3/27 + 2944*l**2/9 + 4096*l/3 - 175. Suppose r(u) = 0. What is u?
-1, 3, 16
Let o be 2 - -251*(-2)/(-10). Let n = o + -52. What is h in -6/5*h**3 + 0 - 8/5*h + n*h**4 + 12/5*h**2 = 0?
0, 2
Let m(g) be the second derivative of 23*g**4/9 - 4*g**3/9 + g + 5. Let m(w) = 0. Calculate w.
0, 2/23
Factor -6/5*q**3 - 104/15*q - 32/15 - 16/3*q**2.
-2*(q + 2)**2*(9*q + 4)/15
Factor 338212*l + 2*l**4 - 22*l**3 - 338212*l.
2*l**3*(l - 11)
Let -4 - 6 + 80*u**2 + 4*u**3 + 10 = 0. Calculate u.
-20, 0
Suppose -77*u**4 - 73*u**4 + 146*u**4 - 20*u**3 + 9*u + 11*u + 28*u**2 - 24 = 0. Calculate u.
-6, -1, 1
Let o(d) = -8*d + 42. Let p be o(17). Let v = p - -94. Solve 1/4*j**2 + v*j - 1/4 = 0 for j.
-1, 1
Let k be -2 - ((-9)/(-2))/(6/(-12)). Let 0*f**2 - f**2 + 5 - 2*f**2 + k = 0. What is f?
-2, 2
Let a(n) be the second derivative of -n**7/210 + n**6/60 - n**5/60 + 3*n**2 - 10*n. Let o(y) be the first derivative of a(y). Let o(z) = 0. What is z?
0, 1
Let y be 3*2 - (-29)/((-232)/48). Let l(g) be the second derivative of 1/168*g**7 - 1/40*g**5 - 4*g + 0*g**4 + 0 + y*g**2 + 1/24*g**3 + 0*g**6. Factor l(i).
i*(i - 1)**2*(i + 1)**2/4
Suppose -6*c - 257 = -833. Suppose 0 = 55*x - 46*x - 18. Factor -3/2*r**3 - 72*r - c - 18*r**x.
-3*(r + 4)**3/2
Let a be (2*(-15)/10)/(3/(-2)). Factor -20*n**a + 20*n**4 - 8*n + 8*n**3 - 111 + 111.
4*n*(n - 1)*(n + 1)*(5*n + 2)
Let a = 86 + -55. Let o = -27 + a. Factor 11*h - 4 + 4*h**2 - 27*h + 12*h**3 + 8*h**3 - o*h**3.
4*(h - 1)*(h + 1)*(4*h + 1)
Let p be (-30)/195 + (-134)/(-26). Factor 24*t**3 + 17*t**3 - 6*t + 9*t**2 + 27*t**4 - 6*t**4 - p*t**3.
3*t*(t + 1)**2*(7*t - 2)
Factor -31573 + 1150*l + 7573 + 2450*l + 3*l**3 - 909*l**2 + 729*l**2.
3*(l - 20)**3
Let j(x) be the first derivative of x**3/4 - 45*x**2/8 + 39*x/2 + 244. Factor j(f).
3*(f - 13)*(f - 2)/4
Let r be (-5)/21 + 4/14 + 524/1834. Factor 1/3*x + r*x**2 - 2/3.
(x - 1)*(x + 2)/3
Let p(a) be the first derivative of 21*a**5/40 + 9*a**4/8 + a**3/2 + 40*a + 29. Let x(f) be the first derivative of p(f). Find g such that x(g) = 0.
-1, -2/7, 0
Let z(n) be the third derivative of n**5/60 - n**4/3 + n**3/2 + n**2. Let p be z(8). Factor -19*h**3 + 17*h**p + 0*h**4 - 1 - h**4 + h**5 + 2*h**2 + h.
(h - 1)**3*(h + 1)**2
Let d(t) = 3 - 23*t**2 - 17*t**4 + 0 - 23*t**3 + 6. Let y = 869 - 873. Let x(b) = -4*b**4 - 6*b**3 - 6*b**2 + 2. Let h(g) = y*d(g) + 18*x(g). Factor h(r).
-4*r**2*(r + 2)**2
Let y(a) be the first derivative of -a**4/7 + 8*a**3/21 + 2*a**2/7 - 8*a/7 + 527. Solve y(z) = 0 for z.
-1, 1, 2
Factor 0 - 1/4*q**3 - q**2 + 21/4*q.
-q*(q - 3)*(q + 7)/4
Suppose -5*i - 6 = -4*p, -3*p - 11 = 3*i - 2. Let n be ((-22)/330)/(p/6). Solve 0*b - n*b**5 + 0 - 2*b**4 - 16/5*b**3 - 8/5*b**2 = 0 for b.
-2, -1, 0
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