Factor 6/7 + i*j - 1/7*j**f.
-(j - 3)*(j + 2)/7
Let x(k) be the second derivative of -k**7/504 - k**6/72 - k**5/24 + k**4/2 - k**3/6 + 40*k - 2. Let g(i) be the third derivative of x(i). Factor g(p).
-5*(p + 1)**2
Let r(t) be the second derivative of t**4/6 + 30*t**3 - 1000*t**2 + 2281*t. Let r(h) = 0. What is h?
-100, 10
Find y such that -426/11*y + 0 + 2/11*y**2 = 0.
0, 213
Find v, given that 2050*v**3 + 1152 + 750*v - 6173*v**3 + 2057*v**3 + 2064*v**3 + 116*v**2 = 0.
-3, 64
Let y(d) be the second derivative of -7/20*d**5 + 64*d + 43/6*d**4 + 36*d**2 + 0 - 46*d**3. Factor y(x).
-(x - 6)**2*(7*x - 2)
Suppose 2*g + 68 = -15*o + 19*o, 0 = -2*o + 3*o - 18. Factor -3 + 7/4*s - 1/4*s**g.
-(s - 4)*(s - 3)/4
Let j be ((-40)/12)/(65/(-468)). Let c be (-4)/j + (-40)/(-15). Solve c*v**3 + 25/2*v**2 + 15/2 + 35/2*v = 0 for v.
-3, -1
Let q be -2*(-6)/28 + (-234)/(-91). Suppose g - v = 5, -2*g - 4*v + 7 = q*g. Determine s, given that 8*s - 206*s**3 - 6*s**4 + 2*s**4 + 4*s**2 + 198*s**g = 0.
-2, -1, 0, 1
Factor -5205*y - 189*y**2 + 5749*y - 54*y**3 - y**4 + 1718 - 2018.
-(y - 1)**2*(y + 6)*(y + 50)
Let s(u) = -4*u**2 + 32*u + 70. Let n(w) = 3*w**2 - 34*w - 72. Let c(p) = -5*n(p) - 4*s(p). Factor c(a).
(a + 2)*(a + 40)
Let i(s) be the third derivative of 2/315*s**7 - 1/9*s**4 + 0*s**5 - 2/9*s**3 + 213*s**2 + 1/45*s**6 + 0 + 0*s. Factor i(k).
4*(k - 1)*(k + 1)**3/3
Suppose -4*t = 12, 35*v - 40*v - 4 = 3*t. Let b be (v/2)/((-56)/(-448)). Let 0*q**2 - 2/3*q**5 + 0 - 4/3*q**b - 2/3*q**3 + 0*q = 0. Calculate q.
-1, 0
Let n(x) be the second derivative of 1/16*x**6 + 113*x + 0 + 9/2*x**4 + 81/16*x**2 + 81/8*x**3 + 69/80*x**5. Determine q, given that n(q) = 0.
-3, -1/5
Let w be (-1 - 16) + 4/(20/(-25)). Let p(o) = -6*o - 130. Let c be p(w). Factor 2/5*d**3 + 6/5 + 14/5*d + 2*d**c.
2*(d + 1)**2*(d + 3)/5
Suppose 0*h + 2 = h + 3*b, -4 = -2*h + 5*b. Find s, given that -3 + 37*s**2 + 7 + 10*s**h + 32*s + 17*s**2 = 0.
-1/4
Suppose 83 + 746/3*x + 248*x**2 - 1/3*x**4 + 82*x**3 = 0. What is x?
-1, 249
Suppose -12*l = -601 + 169. Suppose 28 = 32*a - l. Solve 2/9*y - 1/3 - 1/9*y**4 - 2/9*y**3 + 4/9*y**a = 0 for y.
-3, -1, 1
Let n(d) be the second derivative of 0*d**5 - 1/3*d**4 + 0*d**2 + 0*d**3 + 0 - 1/42*d**7 + 1/10*d**6 - 35*d. Suppose n(x) = 0. Calculate x.
-1, 0, 2
Let q(u) be the first derivative of 0*u**5 + 0*u**4 - 1/660*u**6 + 6 + 6*u**2 + 0*u**3 + 0*u. Let c(n) be the second derivative of q(n). Factor c(t).
-2*t**3/11
Suppose 13*k - 31 = -0*k - 5. Let r(u) be the second derivative of 5/12*u**4 + 0 + 125/2*u**k + 25/3*u**3 + 14*u. Factor r(w).
5*(w + 5)**2
Suppose -26*l + 222 = 3*p - 22*l, -2*l = 0. Let c = 77 - p. Factor 3/8*t**c + 21/8*t**2 + 45/8*t + 27/8.
3*(t + 1)*(t + 3)**2/8
Let h(p) be the third derivative of p**5/24 - 65*p**4/48 - 85*p**3/3 + 1142*p**2. What is k in h(k) = 0?
-4, 17
Let k(b) be the second derivative of 12*b**6/5 - 210*b**5 + 30973*b**4/6 - 10150*b**3/3 + 841*b**2 - 1264*b. Factor k(v).
2*(v - 29)**2*(6*v - 1)**2
Let i(k) be the first derivative of -129*k**4/22 + 262*k**3/33 - 2*k**2/11 - 1130. Factor i(u).
-2*u*(u - 1)*(129*u - 2)/11
Factor -881 + 221 + 212*b + 5*b**3 - 135*b**2 - 473*b + 841*b.
5*(b - 22)*(b - 3)*(b - 2)
Let p(d) be the second derivative of 4/15*d**6 + 0*d**2 + 3*d**3 - 23/10*d**5 + 5*d**4 + 18*d - 1. Factor p(a).
2*a*(a - 3)**2*(4*a + 1)
Let s be 13 - (-2 + 3*(-3)/9). Determine w, given that 279*w**4 - 5*w**2 - 19*w**3 + 269*w**4 - 543*w**4 - s*w**3 + 35*w = 0.
-1, 0, 1, 7
Let y(i) be the third derivative of -3*i**7/490 - 17*i**6/840 + i**5/42 + 2*i**4/21 + 2*i**2 - 275. Factor y(m).
-m*(m - 1)*(m + 2)*(9*m + 8)/7
Let g(q) = -q**3 + 42*q**2 - 31*q - 304. Let z be g(42). Let t be 4/(-34) + z/(-935). Let 0*n + 1/5 - 6/5*n**2 - t*n**3 - 3/5*n**4 = 0. Calculate n.
-1, 1/3
Suppose 2*k - 1125 = 3*x, -k + 5*k + 4*x - 2280 = 0. Factor k*f**2 + 52*f + 10*f**3 - 482*f**2 - 45 + 53*f + 5*f**3.
5*(f + 3)**2*(3*f - 1)
Let o(h) be the third derivative of -25/24*h**4 + 0*h**3 + 0 + 7*h - 1/36*h**5 - 3*h**2. Suppose o(b) = 0. Calculate b.
-15, 0
Let c(q) be the third derivative of 4/15*q**5 + 0 - 1/252*q**8 + 4/45*q**6 + 0*q**4 + 0*q**3 + 0*q - 2/315*q**7 - 97*q**2. Let c(m) = 0. Calculate m.
-2, 0, 3
Let c(g) be the third derivative of -7*g**6/900 + 88*g**5/45 - 623*g**4/180 - 50*g**3/9 - g**2 - 34. Let c(j) = 0. What is j?
-2/7, 1, 125
Suppose 26*r = -7*r - 18 + 84. Let j(x) be the second derivative of -42*x + 0 + 1/5*x**5 + 13/12*x**4 + 2/3*x**3 - 6*x**r. Factor j(p).
(p + 2)**2*(4*p - 3)
Determine l so that -400/7*l**2 + 0 + 0*l + 52/7*l**4 + 80/7*l**3 + 4/7*l**5 = 0.
-10, -5, 0, 2
Let r be (-52)/104 - 5/(-2). Let y(v) = -30*v**4 + 4*v**3 + 12*v**2 + 34*v - 14. Let w(c) = 2*c**4 + c**2 - c + 1. Let s(n) = r*y(n) + 28*w(n). Factor s(u).
-4*u*(u - 5)*(u + 1)*(u + 2)
Let a(c) be the third derivative of c**5/210 + 21*c**4 + 37044*c**3 + 714*c**2. Factor a(d).
2*(d + 882)**2/7
Let w(o) be the third derivative of o**8/4032 - 5*o**7/504 - o**5/20 + 5*o**4/3 - 77*o**2. Let v(c) be the third derivative of w(c). Factor v(x).
5*x*(x - 10)
Let m = -540324 + 2701746/5. Factor m + 3/5*p**2 + 129/5*p.
3*(p + 1)*(p + 42)/5
Let x(r) = -2*r**2 + 67*r - 328. Let i be x(6). Let t(a) be the first derivative of -2*a + 1/6*a**3 + 0*a**i + 9. Factor t(v).
(v - 2)*(v + 2)/2
Suppose 12*z = 5*z - 2849. Let k = z - -410. Determine s so that 4/3*s - k*s**3 + 0 + 8/3*s**2 - 8/3*s**4 + 5/3*s**5 = 0.
-1, -2/5, 0, 1, 2
Let f(h) be the first derivative of -4*h**3/3 - 5304*h**2 - 7033104*h + 897. What is v in f(v) = 0?
-1326
Let a(b) be the first derivative of 3*b**4 + 125*b**3/3 - 38*b**2 + 11*b + 94. Let a(r) = 0. What is r?
-11, 1/4, 1/3
Suppose -12*l - l + 3 = -23. Let g(t) be the second derivative of 0*t**3 - 9/4*t**4 + 19*t + 0*t**l + 9/10*t**5 + 0 - 1/10*t**6. Factor g(i).
-3*i**2*(i - 3)**2
Let i(n) be the second derivative of -n**7/840 - n**6/4 - 45*n**5/2 + n**4/6 - 14*n**3/3 + 81*n. Let o(p) be the third derivative of i(p). Factor o(x).
-3*(x + 30)**2
Suppose -5*d = -u + 1, 3*u - 1014 = -1011. Let b(l) be the first derivative of 0*l**2 - 2/15*l**5 + 13 + 4/9*l**3 + d*l**4 - 2/3*l. Factor b(m).
-2*(m - 1)**2*(m + 1)**2/3
Let t(h) be the third derivative of 1/42*h**5 + 1/56*h**4 + 1/245*h**7 + 1/2352*h**8 + 1/70*h**6 + 0*h + 41*h**2 + 0 + 0*h**3. What is m in t(m) = 0?
-3, -1, 0
Suppose -o = -5*k - 58, 3*o + 11*k + 133 = 7*o. Factor -78/7*x**4 + 0 + 800/7*x**2 + 0*x - 2/7*x**5 - 720/7*x**o.
-2*x**2*(x - 1)*(x + 20)**2/7
Let l(o) be the third derivative of -o**5/60 - 15*o**4/8 - 21*o**3 - 196*o**2. Find a, given that l(a) = 0.
-42, -3
Factor 28930*f - 2826*f**2 + 2709*f**2 + 3060*f**4 - 7021*f**2 + 230*f**3 - 3062*f**4 + 36300.
-2*(f - 55)**2*(f - 6)*(f + 1)
Let u be ((-1408)/9600)/((-4)/12). Let p(j) be the first derivative of u*j**5 + 3 - 1/5*j - 1/10*j**6 + 1/10*j**2 - 7/10*j**4 + 2/5*j**3. Factor p(g).
-(g - 1)**4*(3*g + 1)/5
Let d(n) be the second derivative of -n**4/4 + 497*n**3/2 - 744*n**2 - 3*n - 137. Find l, given that d(l) = 0.
1, 496
Let n(o) be the third derivative of -o**8/4032 + 13*o**7/1008 + 5*o**6/24 + 43*o**5/30 - 164*o**2. Let r(t) be the third derivative of n(t). Factor r(y).
-5*(y - 15)*(y + 2)
Suppose 11 = 2*t - 2*o + 1, -4*o = -2*t + 14. Suppose -t*s + s = -12. Factor -5*l + s*l + 5*l**2 + 4*l.
5*l*(l + 1)
Let h(m) be the first derivative of -m**3/5 + 159*m**2/10 + 162*m/5 - 2534. Determine x, given that h(x) = 0.
-1, 54
Let o = -663/10 + 159/5. Let d = -175/6 - o. Let -2/3 + d*z**2 + 5/3*z**5 - 14/3*z**4 - 7/3*z + 2/3*z**3 = 0. Calculate z.
-1, -1/5, 1, 2
Let d = 42605 + -213024/5. Let z(b) be the first derivative of -34 - d*b**4 + 0*b + 1/5*b**3 + 1/10*b**2. Let z(m) = 0. Calculate m.
-1/4, 0, 1
Let f = 28 + 16. Factor -70*s**2 + 66*s**2 - 22 - f*s - 50.
-4*(s + 2)*(s + 9)
Let y(j) be the third derivative of 0*j**3 - 5*j + 0 - 1/4*j**4 + j**2 + 1/20*j**5. Factor y(o).
3*o*(o - 2)
Let l(y) = 134 - 44*y**2 - 4*y - 2*y - 18*y - y**3 - 16*y. Let c be l(-43). Factor -26/3*g - 12*g**3 - 2/3*g**c + 14/3*g**4 + 2 + 44/3*g**2.
-2*(g - 3)*(g - 1)**4/3
Let h(w) be the first derivative of 1/120*w**6 + 1/20*w**5 + 3 + 0*w**2 + 2/3*w**3 + 0*w + 0*w**4. Let l(g) be the third derivative of h(g). Factor l(f).
3*f*(f + 2)
Suppose 5 = 21*s - 79. Fa