+ 0*l + 0*l**4 + 85*l**2 + 0*l**3 - 16/15*l**5 - 2/105*l**7 + 0. Factor q(s).
-4*s**2*(s + 4)**2
What is z in -109/2*z**2 + 108 - 53*z - 1/2*z**3 = 0?
-108, -2, 1
Let v(i) be the third derivative of -621*i**6/4 - 795*i**5/4 - 635*i**4/6 - 30*i**3 - 7924*i**2. Solve v(u) = 0 for u.
-2/9, -9/46
Let a be 2/(-8)*(-13 + (-471)/(-36))*0. Let g(i) be the second derivative of -8*i - 4/7*i**3 + 36/7*i**2 + a + 1/42*i**4. Factor g(v).
2*(v - 6)**2/7
Factor 0 - 248*i - 20/7*i**2.
-4*i*(5*i + 434)/7
Solve 0*d + 7/3*d**2 + 0 - 1/3*d**3 = 0 for d.
0, 7
Let m(z) = -23*z + 2350. Let a be m(102). Let c(y) be the second derivative of 5*y**3 - 45/2*y**2 + 0 - 32*y - 5/12*y**a. Factor c(n).
-5*(n - 3)**2
Let k(l) = l**2 + 15*l + 9. Let h be k(-6). Let t be 4/((-40)/h)*4. Factor -43*n + 15 + 25*n - t*n**2 + 30*n - 12*n**3 - 2*n**4 + 5*n**4.
3*(n - 5)*(n - 1)*(n + 1)**2
Let r(b) be the second derivative of -59/4*b**4 - 72*b**2 + 21/20*b**5 + 0 - 15*b + 68*b**3. Factor r(c).
3*(c - 4)**2*(7*c - 3)
Let j be 9*20/6*7/42. Let i be (-268)/(-60) - (234/(-45) + j). Factor 4 - i*h**2 - 2/3*h.
-2*(h + 1)*(7*h - 6)/3
Let x(s) = -3*s**2 + 24*s + 101. Let r be 34/(-85) - (104/(-10) - 1). Let a be x(r). Factor -6 + a*p - 1/6*p**2.
-(p - 6)**2/6
Let f(j) be the third derivative of j**5/120 + 911*j**4/48 + 455*j**3/6 - 6199*j**2. Find s, given that f(s) = 0.
-910, -1
Let q(o) be the first derivative of 5*o**6/6 - 493*o**5 + 408335*o**4/4 - 23257655*o**3/3 + 44104540*o**2 - 86614940*o - 1846. Factor q(h).
5*(h - 163)**3*(h - 2)**2
Let g(f) be the second derivative of f**6/90 + 3*f**5 + 59*f**4/12 - 179*f**3/9 + 18*f + 22. Let g(z) = 0. What is z?
-179, -2, 0, 1
Let v = -10673 - -10673. Let q(x) be the second derivative of 25/6*x**3 + v + 11*x + 1/20*x**5 + 0*x**2 + 5/6*x**4. Factor q(s).
s*(s + 5)**2
Let n = 381 - 371. Suppose n*z = 12*z - 4*g - 12, 4*g = -8. Let 2/7*c**z + 12/7*c + 32/7*c**4 - 48/7*c**3 + 2/7 = 0. Calculate c.
-1/4, 1
Let x(m) be the second derivative of 17/3*m**3 + 1/10*m**5 - 5*m - 5 + 4/3*m**4 + 10*m**2. Factor x(d).
2*(d + 1)*(d + 2)*(d + 5)
Let g be (-7)/(-15 - -8) - (-7)/11. Suppose 0 = -d + 52*n - 50*n - 6, 0 = d - n + 2. Determine q so that g + 2/11*q**d - 12/11*q = 0.
3
Let m = -13129 + 13133. Let b(g) be the third derivative of 0*g + 41*g**2 + 0 + 11/4*g**m - 1/20*g**5 - 121/2*g**3. Factor b(c).
-3*(c - 11)**2
Let g be (276/(-54) + 5)*(-8)/56. Let h(b) be the third derivative of 0 - 1/630*b**5 + 5/63*b**3 + 17*b**2 - g*b**4 + 0*b. Determine q, given that h(q) = 0.
-5, 1
Let b(z) = 2*z**3 - 13*z**2 - 6*z - 4. Let c be b(7). Suppose -7*m + 3*m + 8 = 0. Factor 3*w - w**m - w**4 + 2 + 0*w**3 - c*w**3 - w**3 + w**3.
-(w - 1)*(w + 1)**2*(w + 2)
Let w(c) be the second derivative of -75*c**3 - 16875/2*c**2 - 1/4*c**4 - 25 + 6*c. Factor w(i).
-3*(i + 75)**2
Let o(d) be the second derivative of -55/12*d**4 + 10*d**3 - 15/2*d**5 + 10*d**2 + 25/6*d**6 + 76*d + 0. Factor o(r).
5*(r - 1)**2*(5*r + 2)**2
Let f(p) be the first derivative of -p**4/20 + p**3 + 65*p - 58. Let y(n) be the first derivative of f(n). Factor y(q).
-3*q*(q - 10)/5
Let o(d) be the second derivative of -7*d**6/60 - 9*d**5/5 - 13*d**4/24 + 6*d**3 + 5*d**2 - 137*d. What is c in o(c) = 0?
-10, -1, -2/7, 1
Suppose 126 = -12*g - 156 + 306. Let m(r) be the third derivative of 1/24*r**4 - 1/30*r**5 + 0 + 1/6*r**3 + 0*r - 22*r**g. Determine w so that m(w) = 0.
-1/2, 1
Let y = 526579 - 526577. Factor 4/9*t**3 + 16/3 - 8/9*t**y - 44/9*t.
4*(t - 4)*(t - 1)*(t + 3)/9
Let d be (-236)/(-3) + (-134)/201. Let m = d - 386/5. Factor m*z**3 + 4/5*z**2 - 4*z + 12/5.
4*(z - 1)**2*(z + 3)/5
Let j(k) be the first derivative of -4*k**3/21 - 384*k**2 - 258048*k - 890. Factor j(i).
-4*(i + 672)**2/7
Suppose -3 = -x + 3*o, -112*o + 117*o - 15 = 0. Suppose 3*g + 0 = 6. Find f such that 15*f - 3*f - x - 5*f**g + 2*f**2 = 0.
2
Solve -27*w**2 + 4151 - 41*w**2 + 69*w**2 - 2861 + 39514 - 404*w = 0 for w.
202
Let r be (-981)/(-7155) + (-5)/(75/2). Let g = r - -527/795. Suppose -g*l**2 + 0 + 2*l = 0. Calculate l.
0, 3
Let j be 4/30*(-414)/(-184) + (-3)/10. Factor 0 + 0*v**2 - 3/8*v**3 + j*v.
-3*v**3/8
Let z(r) be the first derivative of r**5 - 10*r**4 + 30*r**3 - 40*r**2 + 25*r + 1857. Determine j so that z(j) = 0.
1, 5
Let g = -41 - -52. Suppose 23 = g*c + 67. Let q(k) = 7*k**3 + k**2 + 9*k. Let z(s) = -6*s**3 - 2*s**2 - 8*s. Let p(b) = c*q(b) - 5*z(b). Solve p(u) = 0 for u.
-2, -1, 0
Let s(o) = -5*o - 3. Let b be 1*(2/(-1) + 1). Let i be s(b). Factor 1/9*g**3 + 0 + 0*g - 1/9*g**i.
g**2*(g - 1)/9
Find u, given that 0*u - 2/9*u**4 + 40/9*u**3 - 200/9*u**2 + 0 = 0.
0, 10
Let g be 500/(-175)*14/4 - 84/(-7). Factor -2/13*t**g + 0 + 2/13*t**4 + 18/13*t - 18/13*t**3.
2*t*(t - 9)*(t - 1)*(t + 1)/13
Let i(z) be the second derivative of 2/3*z**4 + 4/3*z**3 + 0*z**2 + 1/21*z**7 + 16*z - 2/15*z**6 + 5 - 3/10*z**5. Let i(k) = 0. Calculate k.
-1, 0, 2
Let k(o) be the first derivative of o**4/4 - 3*o**3/2 + 3*o**2 - 24*o - 105. Let y(t) be the first derivative of k(t). Solve y(w) = 0 for w.
1, 2
Let o = 15 - -35. Factor 154*v - 333*v + 5*v**2 + o + 144*v.
5*(v - 5)*(v - 2)
Suppose -5*n + 14 = -2*d + 3, -7 = -2*d - n. What is g in -799*g - 138*g**2 + 490*g - 3*g**3 - 3000 + 48*g**d - 591*g = 0?
-10
Let p(h) be the second derivative of -h**4/3 - 398*h**3/3 + 400*h**2 + 188*h + 4. Factor p(u).
-4*(u - 1)*(u + 200)
Let w be (-4)/7 - 316/(-14). Suppose 2*p + 16 = w. Factor 11*d**2 + 5*d**2 - 13*d**3 + 9*d**p.
-4*d**2*(d - 4)
Let m be (3/3)/((-2)/(-14)). Suppose -m = -x - 2. Determine k, given that -x*k**2 + 10 - 5*k**4 + 15*k + 31*k**3 + 43*k**3 - 89*k**3 = 0.
-2, -1, 1
Let z(s) be the third derivative of 1/5*s**6 + 4/15*s**5 - 1/84*s**8 - 8/105*s**7 + 0 + 0*s**3 + 7*s**2 + 0*s - 5/6*s**4. Solve z(k) = 0.
-5, -1, 0, 1
Factor 1437601/4 - 1199/2*j + 1/4*j**2.
(j - 1199)**2/4
Let x(o) be the third derivative of o**8/4032 + o**7/112 + 7*o**6/72 + 7*o**5/12 - 75*o**2. Let s(c) be the third derivative of x(c). Factor s(g).
5*(g + 2)*(g + 7)
Let s(a) be the first derivative of 0*a**3 + 15/2*a**2 + 1/240*a**5 + 1/480*a**6 + 0*a - 6 - 1/48*a**4. Let o(r) be the second derivative of s(r). Factor o(q).
q*(q - 1)*(q + 2)/4
Suppose 4*c + 0*c + 20 = -5*b, 0 = b + 5*c + 4. Let a be (-29913)/(-143) + (b/(-22))/(-1). Factor r**3 + r**2 + a*r - 2*r**2 - 211*r.
r*(r - 2)*(r + 1)
Suppose 2*a - 2 - 6 = 0. Suppose -13 + 29 = a*h. Factor h*f - 3 - 387*f**2 + 4*f + 381*f**2 + f**4.
(f - 1)**3*(f + 3)
Factor b**3 + 3*b**3 + 7180*b - 48*b**2 + 64 + 0*b**4 - 7164*b + 4*b**4.
4*(b - 2)**2*(b + 1)*(b + 4)
Let h = 18781 + -18776. Let j(w) be the second derivative of 31*w - 1/6*w**2 + 1/120*w**h + 0*w**4 - 1/12*w**3 + 0. Let j(v) = 0. What is v?
-1, 2
Let h = 967/3856 - 3/3856. Let q(u) be the first derivative of -17 + 2*u**3 - h*u**4 + 6*u - 11/2*u**2. What is i in q(i) = 0?
1, 2, 3
Let -4736*j - 7*j**4 + 115*j**4 - 1507*j**3 + 6048*j**2 + 89*j**3 - 2*j**5 = 0. What is j?
0, 1, 8, 37
Let n be 5/(-3)*(-19 - -13) + -6. Factor 4/11*i**n - 8/11*i**3 - 16/11*i**2 + 0*i + 2/11*i**5 + 0.
2*i**2*(i - 2)*(i + 2)**2/11
Let n = -3355 + 3359. Let s(m) = m**3 - 4*m**2 + 2*m + 2. Let v be s(4). Suppose 404*l**3 - 19*l + v - 399*l**3 + n*l = 0. What is l?
-2, 1
Suppose -527*h**4 - 694*h**2 - 1739*h**5 - 380*h**4 + 1685*h**5 + 1350*h**3 + 104*h + 313*h**4 = 0. What is h?
-13, 0, 1/3, 4/3
Let k(z) be the third derivative of -z**6/360 - z**5/180 - 1416*z**2 + z. Factor k(m).
-m**2*(m + 1)/3
Suppose 19*m = -5*m + 936. Determine n, given that 3*n**4 + 22*n - m*n**2 + 86*n - 33*n - 36 - 3*n**3 = 0.
-4, 1, 3
Let -1/5*y**2 + 54/5 + 5*y = 0. Calculate y.
-2, 27
Suppose 220 + 4/5*s**2 + 1104/5*s = 0. Calculate s.
-275, -1
Let w be (-6 + 216/(-10))/((-6)/10). Suppose w*g - 76 = 8*g. Factor 1/2*a**g - 5/12*a + 0 - 1/12*a**3.
-a*(a - 5)*(a - 1)/12
Factor 9/2*w + 10 - 1/4*w**2.
-(w - 20)*(w + 2)/4
Let x(f) be the third derivative of f**7/1155 - 29*f**6/660 + 7*f**5/22 + 1921*f**4/132 - 4046*f**3/33 - 2735*f**2. Let x(i) = 0. Calculate i.
-7, 2, 17
Suppose -4 = -3*w - 4*m, -m = -18*w + 14*w - 1. Let -7/6*j**4 - 5/2*j**3 - 13/6*j**2 - 1/6*j**5 - 2/3*j + w = 0. Calculate j.
-4, -1, 0
Let b be -9 - -2*(-18)/(-4). Let c be 3/4 - (-252)/(-336). Factor 0 - 10/21*r**4 + 4/21*r**3 + c*r**2 - 2/3*r**5 + b*r.
-2