*3 = 0. Calculate v.
-2, 1, 45
Let b be 33 + (-3)/(-4)*-4. Let v be (4/(-30))/(-1) - (-56)/b. Factor -20*n**v - 5/2*n**4 - 10*n + 0 - 25/2*n**3.
-5*n*(n + 1)*(n + 2)**2/2
Let r(w) be the third derivative of w**5/60 + 19*w**4/24 + 17*w**3/3 - 931*w**2. Determine g, given that r(g) = 0.
-17, -2
Let i be (2/(-5))/(891/90 + -10). Suppose 8 = -0*s + i*s. Let 0 + 13/2*a**3 + 3*a**4 + 1/2*a**5 + 6*a**s + 2*a = 0. Calculate a.
-2, -1, 0
Let t be (-390)/(-65) + 4/(-2). Suppose -3*h = -4*c - 12, 0 + t = h - 5*c. Suppose -2/3*o**h - 4/21*o - 32/21*o**3 - 22/21*o**2 + 0 = 0. Calculate o.
-1, -2/7, 0
Suppose -175 + 7*u**2 + 505/3*u - 1/3*u**3 = 0. What is u?
-15, 1, 35
Let m be 4155/(-57) + -672 + 745. Find g, given that 4/19*g**2 + 0*g - m*g**4 - 2/19*g**3 + 0 = 0.
-2, 0, 1
Suppose 49/3*m**3 + 0 - 1/3*m**4 - 224/3*m**2 + 176/3*m = 0. Calculate m.
0, 1, 4, 44
Suppose 18 = t - 24. Let b = 81 - t. Let 8*d**2 + 8*d**3 + b*d - 6*d**4 - 39*d = 0. What is d?
-2/3, 0, 2
Let g(s) = -s**2 - 6*s - 1. Let l(u) = -6*u**2 + 465*u + 1977. Let c(o) = -3*g(o) + l(o). Suppose c(v) = 0. What is v?
-4, 165
Let v = 55 - 47. Find x such that v*x + 4*x**2 + 2*x**2 - 18*x**2 - 32*x**2 + 36*x**3 = 0.
0, 2/9, 1
Let b = -11261 + 11264. Let r(c) be the first derivative of 3*c**2 + 4/3*c**b + 2*c - 8. What is i in r(i) = 0?
-1, -1/2
Factor 16854/5 - 312/5*a**2 - 3/5*a**3 - 7791/5*a.
-3*(a - 2)*(a + 53)**2/5
Let l(z) be the third derivative of z**5/20 - 43*z**4/8 + 203*z**3 - 116*z**2 - 2*z - 4. Solve l(a) = 0.
14, 29
Let r(g) be the second derivative of -25/2*g**3 + 0 - 1/4*g**5 - 108*g + 35/2*g**2 + 15/4*g**4. Let r(a) = 0. What is a?
1, 7
Let i be (-22)/(-209) - (-243)/(-2850). Let x(s) be the second derivative of 5/3*s**3 - 1/3*s**4 + 0*s**2 + 0 + i*s**5 - 20*s. Let x(j) = 0. What is j?
0, 5
Let c = 61471 + -184411/3. Factor 0 - 2/3*n**3 + 1/3*n**2 - 1/3*n**4 + c*n.
-n*(n - 1)*(n + 1)*(n + 2)/3
Let u be ((-36)/42)/(180/84) - -22. Determine a, given that -456/5*a**2 - 252/5*a - 339/5*a**3 - 12/5*a**5 - 48/5 - u*a**4 = 0.
-4, -2, -1/2
Let a(i) be the third derivative of -163/216*i**4 + 5/126*i**7 + 0*i + 0 - 80*i**2 - 121/216*i**6 + 7/27*i**3 + 583/540*i**5. Determine q so that a(q) = 0.
1/5, 2/3, 7
Let u(c) be the first derivative of c**6/480 + 41*c**5/240 + 133*c**4/32 - 147*c**3/8 + 19*c**2 + 93. Let l(v) be the second derivative of u(v). Factor l(b).
(b - 1)*(b + 21)**2/4
Let o be (-72)/(-42) + (-6)/(-21). Let p = 501 - 499. Determine l, given that l + 6*l - o*l - 2 - 4*l**p + l**3 = 0.
1, 2
Let j be ((-28 + 23)/5)/(6/(-8) - (-250)/680). Determine v, given that -4/13 - 84/13*v**4 + 18/13*v**5 + j*v + 140/13*v**3 - 8*v**2 = 0.
1/3, 1, 2
Let n(v) = -7*v**2 + 698*v - 111562. Let q(w) = 15*w**2 - 1401*w + 223125. Let j(g) = 13*n(g) + 6*q(g). Factor j(r).
-(r - 334)**2
Let h(z) = z**2 - 5*z + 1. Let b(p) = -5*p**2 + 6*p + 57. Let w(n) = 5*b(n) + 30*h(n). Factor w(x).
5*(x - 21)*(x - 3)
Let a(x) be the first derivative of -2*x**3/5 - 372*x**2 - 6091. Suppose a(o) = 0. Calculate o.
-620, 0
Let z(t) be the second derivative of -t**4/15 - 3908*t**3/5 - 17181522*t**2/5 - 16*t + 21. Factor z(m).
-4*(m + 2931)**2/5
Let p = 970 - 976. Let c(r) = r**3 + 5*r**2 - 3*r + 18. Let s be c(p). Factor 4*z**2 + s + 8/3*z + 1/3*z**4 + 2*z**3.
z*(z + 2)**3/3
Let j(k) be the second derivative of k**7/56 + 37*k**6/40 + 117*k**5/16 + 279*k**4/16 - 1793*k. Factor j(o).
3*o**2*(o + 3)**2*(o + 31)/4
Let x = -14/3239 - 1068772/22673. Let p = x - -1327/28. Factor -p*w**2 - w + 5/4.
-(w - 1)*(w + 5)/4
Let q(x) = 18*x**2 - 20*x + 4. Let o be q(1). Let p(y) be the first derivative of 32 - 2/3*y**6 + 16/5*y**5 - 8/3*y**3 + 10*y**o - 8*y - 4*y**4. Factor p(d).
-4*(d - 2)*(d - 1)**3*(d + 1)
Let f(y) be the second derivative of -y**4/9 + 28*y**3 + 258*y**2 - 160*y. Factor f(g).
-4*(g - 129)*(g + 3)/3
Let r be (-136)/51*(-27)/(-66)*2/(-6). Factor -2/11*c**2 + 0 - r*c + 2/11*c**3.
2*c*(c - 2)*(c + 1)/11
Let x = 124 - 103. Factor -15 + 4*m**2 - 16*m - x*m**2 + 16*m**2.
-(m + 1)*(m + 15)
Let i(d) = 35*d**2 + 4735*d + 5726534. Let h(u) = -2*u**2 + 3*u - 5. Let g(r) = 68*h(r) + 4*i(r). Solve g(f) = 0 for f.
-2393
Let w = -15972193/27179 + 2/81537. Let b = w + 3535/6. Factor 5/2*a**3 - 1/2*a**4 + 0 - 7/2*a**2 + b*a.
-a*(a - 3)*(a - 1)**2/2
Let q(g) = g**2 + 2*g - 151. Let m be q(-13). Let k be 10/14*(m/10 - -2). What is u in -3/7*u**2 - k + 9/7*u = 0?
1, 2
Let j(r) be the third derivative of r**5/12 - 25*r**4/12 - 55*r**3/6 - 259*r**2. Suppose j(i) = 0. What is i?
-1, 11
Let f be 6645/18 - (-17 - 3 - (-840)/45) - 3. Solve -975/2*i**2 - 39 - 207/2*i**4 + f*i**3 + 6*i**5 + 513/2*i = 0.
1/4, 1, 2, 13
Let s(h) = h**3 - 2*h**2 + h + 3. Let v be s(3). Let b be 1/((-345)/35 - -10). Factor -5*o**2 + b*o**2 + 13*o**3 - v*o**3.
-2*o**2*(o - 1)
Let n(k) = 5*k**2 + 46*k - 8. Let o(y) = -36*y**2 - 321*y + 60. Let w(l) = -2*l**3 + 13*l**2 - 7*l + 4. Let v be w(6). Let g(b) = v*o(b) - 15*n(b). Factor g(i).
-3*i*(i + 16)
Let y(p) = -7*p**2 + 11155*p - 7772950. Let g(k) = -13*k**2 + 22309*k - 15545898. Let v(l) = -3*g(l) + 5*y(l). Find w, given that v(w) = 0.
1394
Let y be (10/(-8))/(-10 + (-35651)/(-3564)). Let f = -405 - y. Factor f + 18*n**2 - 39/2*n**3 + 9*n**4 - 6*n - 3/2*n**5.
-3*n*(n - 2)**2*(n - 1)**2/2
Let j be (-224)/(-6) + 7776/(-216). Find t such that j*t**2 - 4/3*t + 4/9 - 4/9*t**3 = 0.
1
Let t(q) be the third derivative of q**8/1176 - q**6/35 - q**5/105 + 9*q**4/28 + 6*q**3/7 - 1835*q**2. Suppose t(r) = 0. What is r?
-3, -1, 2, 3
Let -261/2*x**3 + 6*x**4 - 471*x**2 - 819/2*x - 75 = 0. What is x?
-2, -1, -1/4, 25
Suppose -3*o = -9*b + 12*b + 18, 0 = 3*b + o + 2. Factor 86/11*t + 2/11*t**b - 8.
2*(t - 1)*(t + 44)/11
Let b(c) be the second derivative of 95/12*c**4 + 2*c - 5/3*c**3 + 0*c**2 - 153 - 17/4*c**5. Factor b(l).
-5*l*(l - 1)*(17*l - 2)
Factor 8*p - 1/4*p**4 + 31/4 - 15/2*p**2 - 8*p**3.
-(p - 1)*(p + 1)**2*(p + 31)/4
Suppose -13*d - 4*n = -18*d + 20, 4*d - 10 = 2*n. Suppose -2*k - 5 + 11 = d. What is o in 6/19*o**k + 2/19*o**5 - 6/19*o**4 - 2/19*o**2 + 0*o + 0 = 0?
0, 1
Suppose 12 = 3*s + 6. Let p(j) be the first derivative of -3*j**s + 7 + 3*j + j**3 + 15 - 16. Factor p(t).
3*(t - 1)**2
Suppose -401*h - 152 = -405*h. Factor 4 - 9*o**2 - 1 - 6 - h*o - 5.
-(o + 4)*(9*o + 2)
Let g(x) be the third derivative of -1/15*x**5 + 2 + 0*x**3 + 0*x - 29*x**2 + 7/6*x**4. Factor g(c).
-4*c*(c - 7)
Let j(n) = -12*n - 11 - 6 + 4*n - n - 4*n. Let r(c) = c**2 + 27*c + 36. Let p(y) = -5*j(y) - 2*r(y). Let p(l) = 0. Calculate l.
-1, 13/2
Suppose 5*j = -2*d + 68, 109 = 2*d + 3*j + 33. Factor 192*r + 6*r**3 - 10*r**3 - 36 - 268*r - d*r**2.
-4*(r + 1)**2*(r + 9)
Let f = 1231/82 + -13377/902. Let l be 4/11 + (1 - 1). Determine k so that -6/11 + f*k**2 - l*k = 0.
-1, 3
Let q(h) be the third derivative of -h**6/720 - 233*h**5/360 + 469*h**4/144 - 235*h**3/36 + h**2 - 204*h + 4. Solve q(f) = 0 for f.
-235, 1
Suppose -619*s + 3344 = -56*s + 128*s + 145*s. Suppose -2*t**5 - 8/3 + 2/3*t + 16*t**2 + 52/3*t**3 + 8/3*t**s = 0. Calculate t.
-1, 1/3, 4
Let f(z) be the third derivative of z**5/150 + 67*z**4/60 - 116*z**3 - 2480*z**2 - 2. Factor f(l).
2*(l - 20)*(l + 87)/5
Suppose 37*q + 29 - 103 = 0. Let c be (22/1)/(-2)*-1. Factor 14*a**2 - c + q - 57*a - 79*a**2 - 19*a**2.
-3*(4*a + 1)*(7*a + 3)
What is m in 20/3*m**4 - 2404*m**2 + 524*m**3 + 7612/3*m - 664 = 0?
-83, 2/5, 1, 3
Suppose 0 = -0*d + 77*d - 462. Factor d*m**2 + 98 - 2/7*m**3 - 42*m.
-2*(m - 7)**3/7
Let w be 5/((-172)/(-215) + 9/(-5)). Let s = 7/4 - w. Factor 3/4*f**2 + 0 + s*f.
3*f*(f + 9)/4
Suppose 32*r + 26*r = r + 285. Factor 13/6*y**4 - 35/6*y**3 + 0*y + 0 - 49/6*y**2 - 1/6*y**r.
-y**2*(y - 7)**2*(y + 1)/6
Suppose -5*d = 6*d. Suppose 4*w + 2*w - 6 = d. What is f in -10*f**3 + w - 3*f + 12*f**3 + 2*f**3 = 0?
-1, 1/2
Let d be 164/182 - ((-595)/(-49) + -12). Let h = d + 5/13. Factor -h + 4/7*o**2 - 12/7*o**3 + 4/7*o**4 + 12/7*o.
4*(o - 2)*(o - 1)**2*(o + 1)/7
Let k = 24 + -24. Suppose -3*x = -k*x + g - 275, 4*x - 376 = g. Factor 133 - 5*w**2 - x - 2*w - 8*w.
-5*(w - 2)*(w + 4)
Let m(q) be the third derivative of -q**10/30240 + q**9/5040 + 3*q**4/4 + q**3/6 + 11*q**2. Let t(n) be the second derivative of m(n). Factor t(b).
-b**4*(b - 3)
Let i(d) = -d**2 + 23*d + 28. Let v = -22 - -46. Let