- 49*k**4/24 - 33*k**2. Let x(m) be the second derivative of a(m). Factor x(z).
-4*z*(z + 8)**2/7
Let m = 89 + -87. Factor 11*a - 3 - 19*a + 11*a - a**m + 1.
-(a - 2)*(a - 1)
Let h(k) = -14*k + 48. Let s be h(2). Factor r**3 - 12 - 10897*r**2 + 0*r - 3*r + 10887*r**2 - s*r.
(r - 12)*(r + 1)**2
Suppose 0 = -868*w + 401*w. Let r(l) be the third derivative of -121/36*l**3 - 1/360*l**5 - 47*l**2 + 0*l + w - 11/72*l**4. Suppose r(s) = 0. Calculate s.
-11
Solve 44*u + 267/2 - 1/6*u**2 = 0 for u.
-3, 267
Let q = -180396 - -902037/5. Suppose -q*x + 24*x**4 - 114/5*x**2 + 132/5*x**3 - 15*x**5 - 6/5 = 0. Calculate x.
-1, -1/5, 1, 2
Let h(j) be the second derivative of 2*j + 34/15*j**3 + 46 - 36/5*j**2 + 1/15*j**4. Factor h(z).
4*(z - 1)*(z + 18)/5
Let v(d) = 4*d**2 + 494*d + 250. Let b(i) = i**2 + 99*i + 50. Let g(l) = 16*b(l) - 3*v(l). Let o be g(-25). Solve o*c + 0 - 1/5*c**3 + 1/5*c**2 = 0.
0, 1
Let g = 36 - 18. Let u be 4/g - 187/(-9). What is o in 21/2*o**4 - 27/2 - u*o**3 - 3/2*o**5 + 3*o**2 + 45/2*o = 0?
-1, 1, 3
Suppose -13*s + 29 + 10 = 0. Factor -569*o**4 + 100*o**s + 874*o**4 - 6*o**5 + 21*o**5.
5*o**3*(o + 20)*(3*o + 1)
Let -57/2 - 31/5*x - 1/10*x**2 = 0. Calculate x.
-57, -5
Let p(a) be the second derivative of a**6/6 + 17*a**5/4 + 55*a**4/4 - 605*a**3/6 + 175*a**2 + 2282*a. Let p(r) = 0. Calculate r.
-14, -5, 1
Let k(h) = -9*h - 6*h + 6 + 4*h - 3*h**2. Let o be k(-4). Factor 0*g + 2/11*g**4 + 2/11*g**3 - 2/11*g**o + 0 - 2/11*g**5.
-2*g**2*(g - 1)**2*(g + 1)/11
Let f(i) be the first derivative of -i**4/16 + 689*i**3/4 - 1424163*i**2/8 + 327082769*i/4 + 5401. Suppose f(y) = 0. What is y?
689
Let r be 3/75 - (-168435)/64125. Factor -22/3*g + r*g**2 + 4.
2*(g - 2)*(4*g - 3)/3
Let c(x) be the first derivative of -x**4/14 + 12*x**3/7 - 108*x**2/7 + 432*x/7 + 1937. Factor c(b).
-2*(b - 6)**3/7
Let n = -3232/45 - -358/5. Let p = n + 50/63. Factor 38/7*c**2 + 0 + 82/7*c**4 + p*c + 90/7*c**3 + 26/7*c**5.
2*c*(c + 1)**3*(13*c + 2)/7
Let c(i) be the third derivative of i**6/360 - i**5/12 + 7*i**4/36 + 143*i**2 + 2. What is w in c(w) = 0?
0, 1, 14
Let x(a) = -a**4 + 36*a**3 + 238*a**2 - 153*a - 1041. Let j(z) = 2*z**4 - 78*z**3 - 475*z**2 + 307*z + 2083. Let b(g) = -3*j(g) - 5*x(g). Factor b(c).
-(c - 58)*(c - 2)*(c + 3)**2
Let s be -1 + 12 + (-8 - 1). Find v such that -1587*v**5 - 192*v**3 - 7*v**s + 3*v**2 - 1104*v**4 + 11*v**2 - 7*v**2 = 0.
-8/23, 0
Let -520/11*f - 1578/11 + 2/11*f**2 = 0. Calculate f.
-3, 263
Let m(j) be the third derivative of -5/336*j**8 + 0*j**3 - 1/21*j**7 + 5/24*j**4 + 0*j + 1/6*j**5 - 6*j**2 + 0*j**6 - 2. Solve m(a) = 0 for a.
-1, 0, 1
Factor -52/3*h**3 - 69/2*h**2 + 61/3*h + 8/3*h**4 - 8/3.
(h - 8)*(h + 2)*(4*h - 1)**2/6
Suppose -2*q + 4*m - 93 + 101 = 0, -4*m = -20. Let y be (-2)/(4/q) + (-1349)/(-171). Factor -2/9*z**2 + y + 8/9*z - 2/9*z**3.
-2*(z - 2)*(z + 1)*(z + 2)/9
Let q = -31 + 70. Let f = -33 + q. Factor -f*v - 10 - 8*v + 5*v**2 + 9*v.
5*(v - 2)*(v + 1)
Let u(r) = r**2 + 20. Let l(v) = -11*v**2 + 6925*v - 120. Let x(i) = l(i) + 6*u(i). Factor x(g).
-5*g*(g - 1385)
Let r(f) be the second derivative of 1/8*f**4 - 39*f + 0 - 1/20*f**6 + 1/28*f**7 - 3/40*f**5 + 0*f**2 + 0*f**3. Factor r(v).
3*v**2*(v - 1)**2*(v + 1)/2
Let h(z) = 2*z**3 - 36*z**2 + 12. Let c be h(18). Factor 4*x**4 - 10*x - 6*x**3 + 4*x**4 + 3*x**4 - 17*x**4 + 3 + c*x**2 + 7*x**4.
(x - 3)*(x - 1)**3
Let x(h) be the second derivative of h**7/2520 - h**6/45 + h**5/8 + 5*h**4/3 - 99*h. Let n(k) be the third derivative of x(k). Factor n(i).
(i - 15)*(i - 1)
Let w = 419179 + -419177. Solve 0 + 14/5*u**w - 14/5*u**4 + 4/5*u - 4/5*u**3 = 0 for u.
-1, -2/7, 0, 1
Let s(g) be the first derivative of g**6/30 - 19*g**5/25 - 16*g**4 - 20*g**3 - 4404. Determine z, given that s(z) = 0.
-10, -1, 0, 30
Suppose z + 47 = 67. Factor -25*x**2 + 16 - 18 - z*x + 23 + 24.
-5*(x - 1)*(5*x + 9)
Suppose 0 = 2*c - h - 2*h, -1 = c - 2*h. Suppose c*x - 3*b = 45, -2*b - 4 = x - 7. Factor 4*i**2 - 18*i + 33*i - x*i.
4*i*(i + 1)
Let k(a) be the second derivative of a**7/126 + 29*a**6/90 + 9*a**5/10 - a**4/18 - 55*a**3/18 - 9*a**2/2 - a + 4899. Let k(j) = 0. What is j?
-27, -1, 1
Let x be -1 + 8/(8/15). Let g be ((-111)/(-21) - 5)/(2/x). Factor 19*j**2 - 11*j**g - 6*j**2 - 2*j**3.
-2*j**2*(j - 1)
Find t such that -3903/2*t - 1947/2*t**2 + 3/2*t**3 - 1953/2 = 0.
-1, 651
Let q(j) be the first derivative of 9/14*j**4 + 40 - 1/14*j**6 - 18/7*j - 15/14*j**2 + 8/7*j**3 - 6/35*j**5. Suppose q(f) = 0. Calculate f.
-3, -1, 1, 2
Determine k, given that -32 + 37*k**2 - 28 - 56*k**2 - 5*k**3 + 29*k**2 + 29*k + 26*k = 0.
-3, 1, 4
Let q(z) be the second derivative of -z**6/90 - 439*z**5/60 + z**4/36 + 439*z**3/18 - 3543*z. Suppose q(b) = 0. Calculate b.
-439, -1, 0, 1
Factor -4/7*p**2 - 102*p + 2/21*p**3 - 23120/21.
2*(p - 40)*(p + 17)**2/21
Let p be (245/98)/(4/(-18) + (-284)/(-144)). Factor p*y + 12/7 - 2*y**2 - 8/7*y**3.
-2*(y - 1)*(y + 2)*(4*y + 3)/7
Suppose -24*r + 3 = -21*r. Let j = 15 - r. Suppose -o**4 + 3*o**2 - j*o**3 + 10*o**3 + 6*o**3 = 0. Calculate o.
-1, 0, 3
Let s(r) be the second derivative of r**6/120 + 51*r**5/40 + 867*r**4/16 - 20*r - 28. Solve s(f) = 0.
-51, 0
Let c(z) be the second derivative of 3*z**5/160 - 9*z**4/16 + 69*z**3/16 - 39*z**2/4 - 108*z + 1. Factor c(i).
3*(i - 13)*(i - 4)*(i - 1)/8
Let 1/4*z**2 + 972196 + 986*z = 0. What is z?
-1972
Let h(m) be the second derivative of -7/12*m**3 + 0*m**4 - 23*m + 1/40*m**5 + 1 + 3/2*m**2. Factor h(p).
(p - 2)*(p - 1)*(p + 3)/2
Factor -74 - 5*f**2 + 160*f - 95 + 334.
-5*(f - 33)*(f + 1)
Solve 0*w**2 - 2/5*w**4 + 0 - 200*w + 6*w**3 = 0.
-5, 0, 10
Determine c so that -2015/4*c**3 - 6005/4*c + 500 + 5/4*c**4 + 6015/4*c**2 = 0.
1, 400
Let h(s) be the third derivative of 4/15*s**6 - 12*s**4 - 13*s**2 + 1/105*s**7 + 2 + 27*s**3 + 23/15*s**5 + 0*s. Factor h(i).
2*(i - 1)**2*(i + 9)**2
Let p be (-12)/2 - (14 - 140/7). Let o = -19 + 21. Find k such that -2/9*k**o + p*k + 0 = 0.
0
Suppose 4*o - 7 - 9 = 5*m, -m + 5*o - 20 = 0. Let a(b) be the third derivative of 0*b + m + 1/2*b**4 + b**2 - 3/2*b**3 - 1/20*b**5. Find x such that a(x) = 0.
1, 3
Let r(t) be the third derivative of 37*t**6/40 + 299*t**5/60 + 77*t**4/9 + 8*t**3/9 + 4838*t**2. Factor r(m).
(3*m + 4)**2*(37*m + 1)/3
Let g be -95 + 87 + (-2231)/1. Let u = g - -2239. Factor -36/5*k + 2/5*k**4 + 8/5*k**3 + u - 6/5*k**2.
2*k*(k - 2)*(k + 3)**2/5
Let r(f) be the third derivative of 1/90*f**5 + 0*f + 55*f**2 - 2/9*f**3 + 7/108*f**4 + 2. Find o such that r(o) = 0.
-3, 2/3
Let n(x) be the second derivative of x**5/5 + 293*x**4/3 + 43216*x**3/3 + 42632*x**2 - 404*x - 1. Let n(y) = 0. What is y?
-146, -1
Determine d so that 1/2*d**3 + 175/2*d - 88*d**2 + 0 = 0.
0, 1, 175
Let r(y) be the first derivative of -243 - 32*y - 25/2*y**4 + 10*y**3 + 24*y**2. Factor r(i).
-2*(i + 1)*(5*i - 4)**2
Let c be (-403)/(-90) + (-4644)/(-208980). Let -13/3*q + c - 1/6*q**2 = 0. Calculate q.
-27, 1
Let s be (-55)/33*3 - 791/(-133). Let u(g) be the first derivative of 30 - 2/57*g**3 - 6/19*g**2 - s*g. Factor u(k).
-2*(k + 3)**2/19
Factor 4/5*o**2 + 44/5 - 48/5*o.
4*(o - 11)*(o - 1)/5
Let u(m) be the first derivative of 75/32*m**4 + 1/16*m**6 - 122 + 0*m**2 - 3/4*m**5 + 0*m**3 + 0*m. Determine h so that u(h) = 0.
0, 5
Suppose -4*j = -5*b - 78, 8*b + 114 = -46*j + 47*j. Find v such that 330*v**j - 66/5*v**5 - 1476/5*v**3 + 531/5*v**4 - 666/5*v + 27/5 = 0.
1/22, 1, 3
Determine a so that -88/5*a**3 + 0 + 188/5*a**2 - 96/5*a - 4/5*a**4 = 0.
-24, 0, 1
Suppose -101*j**3 - 31*j**2 - 4*j**4 + 281*j + 33*j**3 - 53*j + 195*j**2 = 0. Calculate j.
-19, -1, 0, 3
Let n be (-8)/(9 + -5) - -5. Suppose -n*f + 15*f = 7*f. Suppose -5*m**2 + 0*m - 5/2*m**3 + f + 5/2*m**4 = 0. What is m?
-1, 0, 2
What is z in -2*z**4 + 56799*z**3 - 28403*z**3 + 12*z**2 - 28386*z**3 = 0?
-1, 0, 6
Let w(r) = 2*r**2 - 15*r + 27. Let y be w(5). Let m = 9/25 + 1/25. Let 4/5 + 2/5*n - m*n**y = 0. What is n?
-1, 2
Let v(w) = 59*w + 123. Let r be v(-2). Let l(h) be the third derivative of 0 + 0*h + 1/48*h**r + 1/480*h**6 + 7/96*h**4 + 1/8*h**3 + 12*h**2. Factor l(y).
(y + 1)**2*(y + 3)/4
Determine x, given that -130/3*x + 21*x**2 + 1/3*x**3 + 0 = 0.
-65, 0, 2
Let x(m) be the second derivative of m**4/24 - 15*m**3/2 + 44*m**2 + 1036*m. Factor x(j).
(j - 