4*t**4 - 12/7*t**2. Factor g(v).
-3*(v - 2)**3*(v - 1)/7
Let j(i) be the second derivative of -i**6/360 + i**5/36 - i**4/18 + 17*i**2/2 - 2*i + 22. Let s(z) be the first derivative of j(z). Factor s(o).
-o*(o - 4)*(o - 1)/3
Suppose r - 9 + 67 = 5*z, 2*z - 3*r = 18. Factor -1 - 39*f**2 - f**3 + 2 - z*f + 33*f**2 - 9.
-(f + 2)**3
Let g = 2209/1193220 - 1/3788. Let t(v) be the third derivative of 22*v**2 + 0 + 1/28*v**4 + 0*v - 8/63*v**3 - g*v**5. Find p, given that t(p) = 0.
1, 8
Suppose l + 369*s = 375*s + 38, 5*l - s = 16. Factor 10*v**l + 5/2*v**3 + 10*v + 0.
5*v*(v + 2)**2/2
Let w(y) be the second derivative of -y**5/35 - 64*y**4/21 - 470*y**3/21 + 600*y**2/7 + 4572*y. Factor w(v).
-4*(v - 1)*(v + 5)*(v + 60)/7
Let u(b) be the third derivative of 0*b + 0*b**3 + 1/336*b**8 - 1/30*b**6 + 0*b**4 + 2/15*b**5 - 4*b**2 + 0 - 1/105*b**7. Factor u(m).
m**2*(m - 2)**2*(m + 2)
Let p(r) be the second derivative of 2401*r**6/720 - 49*r**5/30 + r**4/3 - 99*r**3/2 + 266*r. Let i(k) be the second derivative of p(k). Factor i(a).
(49*a - 4)**2/2
Factor -41*v**2 + 236*v**2 + 4949*v - 39*v**2 - 4790*v - 3*v**3.
-3*v*(v - 53)*(v + 1)
Let j(y) = -12*y + 64. Let a be j(5). Solve -215*v**4 - 55*v**3 + 155*v + 220*v**4 - a*v**2 - 11*v**2 + 110 = 0 for v.
-1, 2, 11
Let b(f) = f**3 + 28*f**2 - 30*f - 15. Let s be b(-29). Find q, given that -200 - s*q + 6*q**2 + 2*q**2 + 12*q**2 - 4*q**3 + 12*q**2 - 6*q = 0.
-2, 5
Let r(m) be the first derivative of 3*m**4/4 - 102*m**3 + 297*m**2/2 + 606*m - 695. Factor r(g).
3*(g - 101)*(g - 2)*(g + 1)
Let t be ((-7)/4 - -1)/((4815/8667)/((-8)/6)). Suppose -t*d - 1/5*d**2 - 18/5 = 0. What is d?
-6, -3
Let q(k) be the third derivative of -k**5/12 + 4385*k**4/4 - 11536935*k**3/2 - 8768*k**2. Find u such that q(u) = 0.
2631
Let k be ((-45 + 45)/((-4)/(-2)))/(-3). Find f, given that -15/2*f**3 + k + 0*f + 3/2*f**4 - 9*f**2 = 0.
-1, 0, 6
Let y be 3/(39/(-2)) - 4522/5590. Let f = -7/43 - y. Let -1/5*t**2 + 16/5*t - f*t**3 + 4/5 = 0. Calculate t.
-2, -1/4, 2
Let m(k) be the second derivative of k**7/63 + 68*k**6/45 + 427*k**5/30 + 5*k - 16. Factor m(v).
2*v**3*(v + 7)*(v + 61)/3
Let a(w) = -w**3 + w**2 - w. Let c(t) = 21*t**3 - 125*t**2 + 1569*t - 3750. Let b(f) = -38*a(f) - 2*c(f). Find z, given that b(z) = 0.
3, 25
Suppose 550*c**3 + 525*c + 37*c**4 + 5*c**5 + 453*c**2 - 57*c**4 + 348*c**2 - c**2 + 170*c**4 + 130 = 0. What is c?
-26, -1
Let h(s) = -9*s**2 - 79*s - 718. Let m(p) = -46*p**2 - 394*p - 3588. Let z(f) = 11*h(f) - 2*m(f). Let j(n) = -n**2 - n. Let o(x) = -5*j(x) + z(x). Factor o(y).
-2*(y + 19)**2
Let p(k) be the second derivative of k**5/4 - 45*k**4/4 - 100*k**3 - 310*k**2 + 17*k - 84. Factor p(f).
5*(f - 31)*(f + 2)**2
Let c(m) be the first derivative of 0*m - 13/4*m**4 - 1/3*m**6 + 2*m**2 + 23 + 4/9*m**3 - 31/15*m**5. Let c(v) = 0. What is v?
-3, -2, -2/3, 0, 1/2
Let r(l) be the first derivative of -l**5/150 + 7*l**4/20 - 4*l**3/3 - l**2/2 - 65*l - 139. Let d(s) be the second derivative of r(s). Factor d(n).
-2*(n - 20)*(n - 1)/5
Let o = -244 - -250. Let y(c) = -2*c**2 + 84*c. Let h(z) = 2*z**2 - 86*z. Let u(q) = o*y(q) + 5*h(q). Solve u(a) = 0 for a.
0, 37
Let s = 44 + -41. Suppose -s*z - 4*h = -z + 8, -12 = 4*h. Solve -12*b**2 - b**z - 5*b**3 - b**2 - b**2 = 0 for b.
-3, 0
Suppose 231*b - 1280 = -36*b + 11*b. Let f(k) be the third derivative of 3/2*k**3 + 1/20*k**b + 1/2*k**4 + 0 - 29*k**2 + 0*k. Factor f(c).
3*(c + 1)*(c + 3)
Let b(u) be the third derivative of -441/2*u**3 + 83*u**2 - 1/20*u**5 + 21/4*u**4 + 0*u + 0. Suppose b(v) = 0. What is v?
21
Let h(i) = 3*i - 56. Let b be h(18). Let a be (-1 + 2 - -3) + b. Solve -36*t**a + 8*t + 3*t**3 + 8*t**3 + 0*t + 5*t**3 = 0 for t.
0, 1/4, 2
Suppose -30*b = -40*b + 20. Factor 3 + 228 - x**b + 4*x**2 + 2*x**2 - 36 - 80*x.
5*(x - 13)*(x - 3)
Let p be (-8 + (-20)/(-4) - -6)*(-15)/(-15). Let -3/7*b**2 + 0 + 3/7*b**p - 6/7*b = 0. What is b?
-1, 0, 2
Let c(l) be the first derivative of 28/13*l + 2/39*l**3 - 13 - 15/13*l**2. Find j, given that c(j) = 0.
1, 14
Determine w so that 160*w**2 + 88/3*w - 88/3*w**3 - 484/3 + 4/3*w**4 = 0.
-1, 1, 11
Solve 2/5*k**2 + 1388*k + 1204090 = 0.
-1735
Let z(r) be the second derivative of 4/9*r**3 + 207*r - 11/54*r**4 - 1/9*r**2 + 0. Suppose z(g) = 0. What is g?
1/11, 1
Let n(i) be the first derivative of i**5/570 - 2*i**4/57 - 20*i**3/57 + 55*i**2/2 - 2*i + 116. Let v(b) be the second derivative of n(b). Factor v(y).
2*(y - 10)*(y + 2)/19
Let j be -10 - ((-2)/(-4))/((-46)/(306544/170)). Let -6/5*v**3 - 96/5*v + 0 - j*v**2 = 0. Calculate v.
-4, 0
Let o(j) be the first derivative of j**3/36 - 593*j**2/24 - 99*j/2 + 2500. Suppose o(t) = 0. What is t?
-1, 594
Let x(l) be the third derivative of -5*l**4/24 - 9*l**3/2 + 31*l**2. Let z be x(-6). Factor -z*d + 4*d**2 + 6*d - 7*d + 4*d**2.
4*d*(2*d - 1)
Let k(r) be the second derivative of -r**5/20 + 13*r**4/6 - 91*r**3/6 + 33*r**2 + 1324*r. Factor k(q).
-(q - 22)*(q - 3)*(q - 1)
Let r(l) be the third derivative of -l**6/24 - 5*l**5/6 + 215*l**4/24 + 130*l**3/3 + 330*l**2. Factor r(m).
-5*(m - 4)*(m + 1)*(m + 13)
Let w(s) = -2*s**3 + 28*s**2 - 78*s + 3. Let v be w(10). Suppose 0 = -v*l + 158 - 112. Factor 4/7*z**3 - 12/7*z + 8/7*z**l + 0.
4*z*(z - 1)*(z + 3)/7
Let p = 1223 - 1258. Let s(t) = -t**3 - 35*t**2 + 3*t + 107. Let r be s(p). Factor 2/15*z**r - 2/5*z + 0.
2*z*(z - 3)/15
Let r(p) be the third derivative of -p**6/360 - 3*p**5/20 - 4*p**4/3 - 46*p**3/9 + 1766*p**2. Factor r(u).
-(u + 2)**2*(u + 23)/3
Suppose -3*h + 3*r = -59 - 97, 3*h - 2*r = 154. Let q be (-8)/32 - (2 - h/8). Factor -3*u**4 + 8*u**2 - 8*u**3 - u**4 - 231 + 4*u + q*u**5 + 227.
4*(u - 1)**3*(u + 1)**2
Let o = -65117 + 65119. Factor 32/9*r - 256/9 - 1/9*r**o.
-(r - 16)**2/9
Suppose 3*s = 12 - 0. Let x(g) = 3*g**3 + 106*g**2 - 70*g + 80. Let v be x(-36). What is q in -11 + v - s*q + 8 - q**2 = 0?
-5, 1
Factor -6/7*n**2 + 4/7*n**3 + 1/7*n**5 + 6/7*n**4 + 0 - 5/7*n.
n*(n - 1)*(n + 1)**2*(n + 5)/7
Let n be ((-4)/(160/28))/((-262)/11790). Solve -129/2*v - 69/2*v**2 - 3/2*v**3 - n = 0 for v.
-21, -1
Suppose -3*y + 5*p + 8 = 0, 4*p + 54 - 32 = 5*y. Let k be (952/(-272))/((-4)/y). Factor s + 0 + 5/4*s**4 + 6*s**2 + k*s**3.
s*(s + 2)**2*(5*s + 1)/4
Let h(q) be the first derivative of q**4/2 - 340*q**3/3 + 169*q**2 - 3296. Find a, given that h(a) = 0.
0, 1, 169
Let d = -429 + 433. Solve d*j**3 + 2306*j - 14*j**3 + 64 - 12*j**2 - 2242*j + 2*j**4 = 0.
-2, -1, 4
Factor 68*m**2 - 258*m**2 - 5*m**3 + 140*m**2 + 161*m + 34*m.
-5*m*(m - 3)*(m + 13)
Suppose -103 = 66*m - 235. Suppose -1/6*p**3 - 4/3*p - 2/3 - 5/6*p**m = 0. Calculate p.
-2, -1
Let f(a) be the first derivative of a**9/9072 + a**8/1260 + a**7/840 - a**6/270 - a**5/90 - 9*a**3 - 22. Let q(b) be the third derivative of f(b). Factor q(i).
i*(i - 1)*(i + 1)*(i + 2)**2/3
Find z, given that -3*z**4 - 561*z**3 - 1291579 + 1291579 - 171*z**3 - 44652*z**2 = 0.
-122, 0
Determine w so that 55/3*w**2 - 280/3 - 10*w = 0.
-2, 28/11
Let k(z) be the third derivative of -z**6/40 + 11*z**5/50 - z**4/5 - 5*z**2 - 205. Factor k(q).
-3*q*(q - 4)*(5*q - 2)/5
Suppose h + 233 - 235 = 0. Find i such that -3*i - i**2 + 3*i**3 + 3*i**4 + 5*i**2 - 4*i**2 + 3*i**2 - 6*i**h = 0.
-1, 0, 1
What is q in -q**3 + 279*q**2 + 255*q**2 - 20569 + 21101 - 1065*q = 0?
1, 532
Factor -3835*i + 7*i**2 - 88*i**2 + 27*i**2 + 26*i**2 + 23*i**2.
-5*i*(i + 767)
Suppose 42*q = -182*q. Let i(r) be the third derivative of 1/735*r**7 + 0*r**4 + 1/140*r**6 + 0*r**3 - 6*r**2 + 0*r + q*r**5 + 0. What is y in i(y) = 0?
-3, 0
Let q be -1 - (-1 - 12/15) - 3344/(-1520). Let x be ((-40)/(-25))/((-3)/(-5)). Factor x*g - 8/3*g**q + 4/3*g**2 - 2 + 2/3*g**4.
2*(g - 3)*(g - 1)**2*(g + 1)/3
Let l(b) be the first derivative of -4*b**3/15 + 82*b**2/5 + 2344. Factor l(m).
-4*m*(m - 41)/5
Factor 324/7*v**2 - 7744 + 4/7*v**3 + 5280/7*v.
4*(v - 7)*(v + 44)**2/7
Suppose 34*j - 142*j = 63*j - 342. What is s in 3/2*s**j + 0 - 81*s = 0?
0, 54
Let h(t) be the second derivative of -11*t - 6 + 0*t**2 - 5/4*t**4 + 0*t**5 + 1/6*t**6 - 5/3*t**3. Let h(d) = 0. What is d?
-1, 0, 2
Let z be 1591/(-301) + (-2)/(-7). Let g be (-2 - 36/(-30))/(2/z). Factor -3/2*y + 1/2 + 0*y**2 + g*y**3.
(y + 1)*(2*y - 1)**2/2
Suppose -4*t - 5*o + 224 = 0, -t - 2*o + o = -56. Let u = 73 - t