-3 - -4)*(-1)/o. Let d(z) = n*x(z) - 12*y(z). Factor d(p).
4*(7*p - 4)**2
Let s(o) be the second derivative of -1/2*o**4 + 23/15*o**3 + 1/50*o**5 + 0 - 2*o**2 + 1/75*o**6 - 45*o. Solve s(m) = 0 for m.
-5, 1, 2
Find y such that 18*y - 44*y + 6 + 186 + 3*y**2 - 34*y = 0.
4, 16
Let b be (0 - (-28)/3)*(-3633)/(-161063). Let 2/19*g**4 - 2/19 + 4/19*g**3 + 0*g**2 - b*g = 0. Calculate g.
-1, 1
Let y be 30/(-4) + (-312 + 6)/(-34). Let -3/4*p - y + 3/4*p**2 = 0. Calculate p.
-1, 2
Let p(c) = c**3 - 26*c**2 + 19*c + 3. Let f be p(24). Let b = 696 + f. Factor 0 - 2/3*w**4 + 0*w**2 + 0*w + 2/3*w**b.
-2*w**3*(w - 1)/3
Let y = -357294 + 357297. Solve 1/10*q**2 + 0 - 1/5*q + 1/5*q**4 + 1/2*q**y = 0 for q.
-2, -1, 0, 1/2
Suppose 0 = d - 626 + 214. Let p be (-12)/48 + (-13)/(-4). What is c in -d*c**4 + 204*c**4 + 204*c**4 + 16*c**p - 16*c**2 = 0?
0, 2
Let -255*n - 73*n**2 - 1150 - 75*n**2 - 70*n**2 - 73*n**2 + 286*n**2 = 0. What is n?
-46, -5
Let a be (-4)/(-2) - 34*168/(-2856). Let 54 - 99*x + 111/2*x**2 - 45/4*x**3 + 3/4*x**a = 0. What is x?
1, 2, 6
Suppose 4*w - u - 5 = 0, -5*w - 325*u - 6 = -328*u. Find j, given that -3/2*j**2 + 15/8*j + 3/8*j**w - 3/4 = 0.
1, 2
Solve -9540726/7 - 4785495/7*c - 3/7*c**3 - 7572/7*c**2 = 0.
-1261, -2
Let f(d) be the second derivative of 2*d + 0*d**2 + 5/3*d**3 + 5/12*d**4 - 56. Factor f(y).
5*y*(y + 2)
Suppose 39 - 117*t**2 - 26 + 12*t**2 + 93*t + 45 - 4 = 0. Calculate t.
-2/5, 9/7
Let c(j) = -j**3 - j**2 + 5*j + 1. Let l(a) = 8*a**3 + 246*a**2 - 142*a - 4. Let u(b) = -4*c(b) - l(b). Let u(x) = 0. Calculate x.
-61, 0, 1/2
Let f(l) be the first derivative of 2/3*l**3 - 2*l**2 - 6*l + 57. Factor f(d).
2*(d - 3)*(d + 1)
Suppose 669 = 1112*z + 44 - 1599. Find v such that 0 + 15/7*v + 3/7*v**z = 0.
-5, 0
Let b be (-4)/60 + (342496/(-1920))/(-77). Factor 3*z - b - 3/4*z**2.
-3*(z - 3)*(z - 1)/4
Suppose 2*b - 278 = -3*u, -6*u + 5*u = 2*b - 86. Let w be 1/(-4 - -2*196/u). Factor 12*f + 11*f**3 + 7*f**3 + 107*f**4 + w*f + 36*f**2 - 104*f**4.
3*f*(f + 2)**3
Let i be ((-6)/(-5))/(((-132)/(-30))/11). Factor 0*l**5 + l**5 + 649 + i*l - 649 - 2*l**3 - 2*l.
l*(l - 1)**2*(l + 1)**2
Let c be -7 + 158/22 - (-282)/22. Suppose -2*p - 11 = -3*l, -4*l + c = 4*p - 3*l. Factor -9*w**3 - 5 + 8*w**p - 19*w**3 + 5 - 16*w**4.
-4*w**2*(w + 2)*(4*w - 1)
Solve -7*m**4 - 8421*m**3 + 8454*m**3 - 11*m**4 + 3*m**5 - 18*m**2 = 0 for m.
0, 1, 2, 3
Let m(x) = x**3 + 9*x**2 + 5*x - 8. Let j be m(-8). Let c = 20 - j. Factor 66*v + 0*v**2 + 4*v**2 - 74*v + c.
4*(v - 1)**2
Let y(o) be the first derivative of -o**4/8 + 145*o**3/6 - 5467*o**2/4 + 15123*o/2 - 5088. Factor y(t).
-(t - 71)**2*(t - 3)/2
Let x(s) be the third derivative of -s**6/840 - 31*s**5/420 - 25*s**4/21 - 184*s**3/21 + s**2. Suppose x(z) = 0. What is z?
-23, -4
Let b = -8848 - -17697/2. Determine l, given that -7/2*l**2 - b*l**3 - 8*l - 6 = 0.
-3, -2
Solve -124/3*f - 752/9 + 2/9*f**2 = 0.
-2, 188
Let q(l) be the second derivative of 1/80*l**5 + 1/24*l**6 + 29 - 11/48*l**4 + l - 1/24*l**3 + 3/4*l**2. Factor q(h).
(h - 1)**2*(h + 1)*(5*h + 6)/4
Let j(s) = -s**3 + 6*s**2 + 2*s - 25. Let p be j(4). Factor -2 + 7 - 2*i**2 + 13 - p*i - i**2.
-3*(i - 1)*(i + 6)
Let l(q) be the first derivative of q**6/2 + 207*q**5/5 - 3*q**4/2 - 138*q**3 + 3*q**2/2 + 207*q - 7931. Determine b, given that l(b) = 0.
-69, -1, 1
Let u(m) be the third derivative of -m**8/1680 + m**7/350 + m**6/120 - m**5/100 - m**4/30 + 1534*m**2. Find r such that u(r) = 0.
-1, 0, 1, 4
Let v = -321 + 345. Factor 26*d**2 - 47115 - v*d**3 + 47095 - 10*d**2 + 4*d**4 + 24*d.
4*(d - 5)*(d - 1)**2*(d + 1)
Let j(z) = 15*z**3 - 54*z**2 + 161*z. Let n(t) = -22*t**3 + 53*t**2 - 162*t. Let s(k) = -6*j(k) - 4*n(k). Factor s(y).
-2*y*(y - 53)*(y - 3)
Determine y, given that 34/9*y**3 + 8/3 - 32/9*y - 2*y**2 - 2/9*y**5 - 2/3*y**4 = 0.
-6, -1, 1, 2
Let s(a) be the third derivative of a**6/660 - 221*a**5/330 - 37*a**4/22 + 8*a**2 + 12*a. Factor s(r).
2*r*(r - 222)*(r + 1)/11
Let o be (47 - 50) + (-21)/(-3). Let c(f) be the third derivative of -2/21*f**3 + 1/84*f**o + 0*f + 1/210*f**5 + 0 - 16*f**2. Factor c(d).
2*(d - 1)*(d + 2)/7
Let d = -96861 - -290587/3. Factor -1/3*t**3 - 5/3*t + d*t**2 + 2/3.
-(t - 2)*(t - 1)**2/3
Let p be (1/3)/((-14)/(-168)). Let a(v) = v**2 + 19*v - 77. Let w be a(-32). Suppose 339 - 16*h - p*h**2 - w - 4*h = 0. What is h?
-5, 0
Determine v, given that 152*v - v**4 - 453*v + 151*v + v**3 + 150*v = 0.
0, 1
Let j = 620621/2792916 - -3/310324. Factor 352/3*z + j*z**4 + 338/9*z**2 + 128 + 44/9*z**3.
2*(z + 3)**2*(z + 8)**2/9
Let s(b) be the first derivative of b**7/2520 - 7*b**6/1080 + b**5/24 - b**4/8 - 23*b**3 - 68. Let x(k) be the third derivative of s(k). Factor x(r).
(r - 3)**2*(r - 1)/3
Suppose -4*g - 53 = 4*r + r, 39 = -2*g - 5*r. Let f be 287/(-369)*6/g. Factor 4/3*a + f*a**2 - 16/3.
2*(a - 2)*(a + 4)/3
Find g such that -275/6*g**4 - 77/2*g**3 - 25/6*g**5 + 10 + 128/3*g + 215/6*g**2 = 0.
-10, -1, -3/5, -2/5, 1
Let b be 6 + (-12)/4 + 27/(-1). Let l = b - -26. Find h such that -14 + h**l + 6 + 2*h**3 + 5*h**2 = 0.
-2, 1
Let h = -834373/28 + 29803. Let z(j) be the first derivative of -h*j**4 - 18/7*j**5 - 9/14*j**6 - 20/7*j**3 + 43 + 0*j - 6/7*j**2. Factor z(f).
-3*f*(f + 1)**2*(3*f + 2)**2/7
What is k in -40/11*k + 8 - 2/11*k**2 = 0?
-22, 2
Solve -12*r**4 + 12 + 17*r**3 + 5*r**3 + 11*r**4 + 42*r**2 - 4*r**3 + 38*r + 3*r**4 = 0 for r.
-6, -1
Let i = 271 + -267. Let o(n) be the first derivative of 0*n**2 - n - 3/5*n**5 + 1/2*n**i + 9 - 1/3*n**6 + 4/3*n**3. Factor o(p).
-(p - 1)*(p + 1)**3*(2*p - 1)
Let q(f) be the third derivative of 0*f**4 + 0*f**5 + 0*f**6 + 53*f**2 + 0*f**3 + 0*f + 1/945*f**7 - 1/1512*f**8 + 0. Let q(h) = 0. What is h?
0, 1
Let j be ((-30)/4)/((-1)/2). Suppose -69*y + 15 - j = 0. Find o, given that y*o + 0 + o**2 + 1/4*o**4 - o**3 = 0.
0, 2
Let q(c) = 2*c**2 - 2*c - 9. Let w(z) = 7*z**2 - 9*z - 35. Let y be (3 - 30) + 2 - (1 - 4). Let d(f) = y*q(f) + 6*w(f). Solve d(u) = 0.
-3, -2
Suppose -18 - 26 = -4*v - 4*o, -5*o = 2*v - 37. Factor 4*l**5 - 266*l + 4*l**3 + 264*l - v*l**5.
-2*l*(l - 1)**2*(l + 1)**2
Suppose 270*j + 18939 = 20559. What is p in -9/2*p - 3/2*p**2 + j = 0?
-4, 1
Suppose 20 = 6*b - 5*b. Suppose 27*f - b = 23*f. Determine k, given that -4*k - 11*k**5 - 10*k**2 + 9*k**f + 24*k**2 - 18*k**3 + 0*k + 10*k**4 = 0.
0, 1, 2
Let d(n) be the second derivative of -3*n**5/5 - 133*n**4/4 - 527*n**3 + 2601*n**2/2 - 32*n - 1. Determine m so that d(m) = 0.
-17, 3/4
Let j = -359111 + 359111. Suppose 132/5*o**2 + j + 4/5*o**4 + 144/5*o + 8*o**3 = 0. Calculate o.
-4, -3, 0
Let o(g) be the second derivative of -7/3*g**3 + 35 + g + 1/12*g**4 + 0*g**2. Factor o(z).
z*(z - 14)
Let w = 1580/5619 - -722/1873. Factor w*n**2 - 56/3 + 2*n.
2*(n - 4)*(n + 7)/3
Let g(x) be the third derivative of -1/1800*x**6 + 0 - 1/3*x**3 - 1/600*x**5 + 19*x**2 + 0*x + 0*x**4. Let w(b) be the first derivative of g(b). Factor w(c).
-c*(c + 1)/5
Let m be 2*(-5)/(-5) + 2. Let o be (-3)/m*(-6)/27. Factor 0*b**2 - o*b + 1/6*b**3 + 0.
b*(b - 1)*(b + 1)/6
Suppose 2*b = 5*b - 12. Let y be 3*(48 + -37 + -10). Factor -4/3*i**y + 2/3*i**5 + 0*i**b + 2/3*i + 0 + 0*i**2.
2*i*(i - 1)**2*(i + 1)**2/3
Let f be 4/(9/((-10134)/(-8))). Suppose f = -s + 567. Factor 1/2*c**3 + 3*c**2 + 6*c + s.
(c + 2)**3/2
Let i(j) be the third derivative of -j**7/980 + 11*j**6/420 + 3*j**5/35 + 89*j**3/6 - 22*j**2. Let u(h) be the first derivative of i(h). Factor u(f).
-6*f*(f - 12)*(f + 1)/7
Let t(q) = 13*q**3 - 2028*q**2 + 3987*q - 1992. Let j(d) = -20*d**3 + 3044*d**2 - 5980*d + 2988. Let w(o) = 5*j(o) + 8*t(o). Factor w(h).
4*(h - 249)*(h - 1)**2
Let l(v) = -577*v - 5189. Let c be l(-9). Let g(y) be the third derivative of 1/360*y**6 - 1/20*y**5 + 0*y + 0 - 3/2*y**3 + 3/8*y**c - 26*y**2. Solve g(q) = 0.
3
Determine s, given that 1/8*s**2 + 10751841/8 + 3279/4*s = 0.
-3279
Let w(q) be the third derivative of 0*q**6 + 0*q**5 - 3*q + 2/735*q**7 + 0*q**3 + 41*q**2 + 0 + 0*q**4 + 1/1176*q**8. Let w(m) = 0. Calculate m.
-2, 0
Let g(d) = 20*d + 709. Let s be g(-35). Suppose s*a + 134 = 170. Suppose -3/2*t**5 + 0 + 0*t**2 + 6*t**a + 0*t - 6*t**3 = 0. What is t?
0, 2
Let d(j) be the third derivative of -j**5/15 - 117*j**4 - 82134*j**3 - 130*j**2 + 5. Let d(c) = 0. What is c?
-351
