*h**4 - 3*h**5 + 82*h**3 - 144*h = 0.
-12, -1, 0, 1, 4
Let w(g) be the third derivative of g**6/180 - 11*g**5/60 - g**4 - g**3/3 + 29*g**2. Let v(x) be the first derivative of w(x). Factor v(u).
2*(u - 12)*(u + 1)
Determine p so that 186/7 + 3/7*p**2 + 27*p = 0.
-62, -1
Let l be (-1482)/(-351) - (-4)/(-18). Solve 10*s**3 - 24*s**l + 39*s**4 + 12*s**2 - 34*s**3 - 24*s**3 + 21*s**5 = 0 for s.
-2, 0, 2/7, 1
Let c be (-928)/580 + 0 + 84/15. Let m(o) be the third derivative of 1/12*o**5 + 5/2*o**3 + 0 + o**2 + 0*o + 5/6*o**c. Factor m(g).
5*(g + 1)*(g + 3)
Let q = -215286 + 1076506/5. What is a in -2/5*a**2 - 42/5*a - q = 0?
-19, -2
Let v(u) = u**3 + 65*u - 322. Let c be v(4). Factor 0 + 0*k + 2/3*k**c.
2*k**2/3
Let k(f) be the second derivative of f**7/231 - 4*f**5/11 + 35*f**4/33 + 13*f**3/11 - 70*f**2/11 + 2*f + 228. Let k(b) = 0. Calculate b.
-7, -1, 1, 2, 5
Let w(a) be the first derivative of -a**3/6 + 5*a**2/4 + 63*a - 1150. Suppose w(j) = 0. What is j?
-9, 14
Let i(n) = -2*n - 11 - n + 3 + 3*n**3 + n**2 + 2*n**2. Let x(f) = -1. Suppose 21 = -r - 4*u - 0, 2*u + 15 = -5*r. Let l(t) = r*i(t) + 5*x(t). Factor l(d).
-3*(d - 1)*(d + 1)**2
Let f(d) = d**4 + d**3 - 4*d**2 - 1. Let m(y) = 3*y**5 + 304*y**4 + 7801*y**3 + 8*y**2 + 2. Let o(t) = -2*f(t) - m(t). What is j in o(j) = 0?
-51, 0
Let l(h) = -9*h**4 - 160*h**3 - 5945*h**2 - 65362*h - 59582. Let o(p) = 5*p**4 + 78*p**3 + 2972*p**2 + 32682*p + 29791. Let y(d) = 4*l(d) + 7*o(d). Factor y(c).
-(c + 1)*(c + 31)**3
Let n be 0 + (-2)/10 - (-27)/45. Let q(h) be the first derivative of -2/25*h**5 - 24 + 4/15*h**3 + 0*h**4 + 0*h**2 - n*h. Determine g so that q(g) = 0.
-1, 1
Let k(n) be the second derivative of n**6/1260 + n**5/35 - n**3/2 + 11*n**2/2 + 72*n. Let c(l) be the second derivative of k(l). Suppose c(f) = 0. Calculate f.
-12, 0
Let p(z) = z**3 - 13*z**2 + 25*z - 13. Let o be p(11). Find u, given that 63*u + o*u**3 - 329*u**2 + 437*u**2 + 97*u + 48 = 0.
-3, -2, -2/5
Let p(g) be the first derivative of -4*g**2 - 6*g + 57. Let f be p(-1). Factor 1/5*z**f + 3/5*z + 2/5.
(z + 1)*(z + 2)/5
Determine q so that 78 - 32/3*q**2 + 6*q = 0.
-39/16, 3
What is v in 3605*v**2 + 264*v**3 - 40*v**4 - 4*v**5 - 120 + 165*v + 247*v - 4117*v**2 = 0?
-15, 1, 2
Let u be (2 - (2 - 0))*(14 - (15 + -2)). Let x(t) be the third derivative of 0 + u*t**3 + 1/270*t**5 + 0*t - 5*t**2 + 1/108*t**4. Factor x(c).
2*c*(c + 1)/9
Let h = -274860 + 1924021/7. Suppose 22/7*w + 0 - h*w**2 = 0. What is w?
0, 22
Suppose 3*b + n = 25, -2*b + b + 15 = -3*n. Determine m so that 2*m + 64 - b*m + 4*m**2 + 75*m = 0.
-16, -1
Let r(w) be the first derivative of -3/20*w**4 + 0*w - 90 + 0*w**2 + 2/5*w**3. Let r(t) = 0. Calculate t.
0, 2
Let v be (-18330)/4446 + 4*(0 + 1). Let a = 71/114 + v. Factor -g + a*g**3 + 3/2*g**4 + 1/2*g**5 - 3/2*g**2 + 0.
g*(g - 1)*(g + 1)**2*(g + 2)/2
Suppose -3*p + 6 = -2*p. Let d(i) = i**2 - 3*i - 14. Let j be d(p). What is s in -11 + 2*s**3 + j*s**2 + 26 + 20*s - 3 - 6*s**3 = 0?
-1, 3
Factor -42/5*c + 459/5 - 1/5*c**2.
-(c - 9)*(c + 51)/5
Let o(k) = 7*k**2 - 98*k + 220. Let y(h) = 32*h**2 - 387*h + 880. Let x(l) = -18*o(l) + 4*y(l). Determine w, given that x(w) = 0.
-110, 2
Suppose -1180 = 4*b - 1144. Let u be (-15)/(b/(81/45)). Let 1/4*j**u + 0 + 1/4*j - 1/2*j**2 = 0. Calculate j.
0, 1
Let p be (1408/48)/(-11)*(-1 - (-1)/4). Let f(z) be the second derivative of 0 - 16/9*z**4 - p*z - 2/3*z**2 + 16/9*z**3. Suppose f(l) = 0. Calculate l.
1/4
Suppose 0 = -12*m + 36, -3*m = 28*q - 50*q + 23*q - 11. Factor 3/4*l**q - 3/2*l - 9/4.
3*(l - 3)*(l + 1)/4
Solve 229/2*q**4 + 114*q**3 + 1/2*q**5 + 0*q + 0*q**2 + 0 = 0.
-228, -1, 0
Factor -1/3*n**2 + 4004/3*n - 4008004/3.
-(n - 2002)**2/3
Suppose 2*h + h - 18 = -g, -3*h = -4*g + 12. Determine o so that 2528*o**3 + g*o**5 - 2528*o**3 + 3*o**4 - 4*o**5 - o**2 = 0.
-1, 0, 1/2
Suppose 748 = 22*c + 682. Let o(l) be the first derivative of 4*l**5 + 16/3*l**c + 1/3*l**6 + 0*l**2 + 11 + 0*l + 17/2*l**4. What is k in o(k) = 0?
-8, -1, 0
Let h(i) = 11*i**3 - 16*i**2 + 183*i + 3150. Let t(a) = a**3 - a. Let g(r) = -h(r) + 12*t(r). Solve g(v) = 0.
-15, 14
Let n be (36/10)/(4/10). Suppose 4*x = n*x - 15. What is m in -5*m**2 - x*m**2 + 60*m + 3*m**2 - 80 - 20*m = 0?
4
Suppose -216 = -4*m + o, -15 = -5*o + 5. Suppose -148 = -m*r + 17. Factor 3/5*s**3 + 33/5*s + 21/5*s**2 + r.
3*(s + 1)**2*(s + 5)/5
Suppose 3*s**4 + 85585*s**3 + 0*s**4 - 87115*s**3 - 1533*s**2 = 0. What is s?
-1, 0, 511
Suppose 0 - 108/7*i**3 - 18/7*i**4 + 200/7*i**2 + 2*i**5 - 48/7*i = 0. What is i?
-3, 0, 2/7, 2
Let c(d) = -4*d**4 + 492*d**3 - 1964*d**2 + 2548*d - 1024. Let w(x) = 4*x**3 - 11*x**2 + 1. Let y(k) = -c(k) - 8*w(k). Find t, given that y(t) = 0.
1, 2, 127
Let c be 5/((-70)/4) - (-368)/161. Find w such that 2*w**2 + w - 14 + 4 + 3*w**c + 4*w = 0.
-2, 1
Let p(a) = 27*a**3 + 5259*a**2 - 10572*a - 15744. Let c(i) = -7*i**3 - 1315*i**2 + 2643*i + 3935. Let s(v) = -15*c(v) - 4*p(v). Solve s(u) = 0 for u.
-439, -1, 3
Let v(k) be the second derivative of -1/4*k**4 + 5/2*k**2 + 10 - 1/40*k**5 - 1/4*k**3 - k. Let v(d) = 0. Calculate d.
-5, -2, 1
Let r(m) = -m**2 + 12*m + 12. Let g be r(12). Determine w so that -260*w**2 + 523*w**2 - 260*w**2 - 9*w - g = 0.
-1, 4
Let q(p) be the second derivative of 5*p**7/126 + 59*p**6/18 + 195*p**5/2 + 10640*p**4/9 + 32000*p**3/9 + 6692*p. Let q(a) = 0. Calculate a.
-25, -16, -2, 0
Let i(f) = -11*f**2 + 2310*f - 228145. Let s(n) = -6*n**2 + 1152*n - 114072. Let p(a) = 3*i(a) - 5*s(a). Factor p(m).
-3*(m - 195)**2
Let c(d) = -4*d**2 - 7*d + 62. Let q be c(-11). Let g = -343 - q. Solve 98/3*t + 608/3*t**3 - 128/3*t**4 - 136*t**g - 8/3 = 0.
1/4, 4
Let o(b) be the first derivative of -26*b**5/25 - 28*b**4/5 - 146*b**3/15 - 6*b**2 - 6298. Suppose o(c) = 0. What is c?
-30/13, -1, 0
Suppose 140*t = 61*t - 278*t + 18*t - 165*t. Factor t*f**3 + 0*f + 1/3*f**5 + 0 - f**4 + 0*f**2.
f**4*(f - 3)/3
Factor 4*k**2 + 2406544 + 7296*k + 387539 + 312785 + 220108.
4*(k + 912)**2
Let b(g) be the first derivative of 5*g**3/3 + 15*g**2 - 800*g + 2253. Factor b(i).
5*(i - 10)*(i + 16)
Let l(x) be the first derivative of -x**4/4 - 46*x**3 + 282*x**2 - 568*x - 5213. Factor l(d).
-(d - 2)**2*(d + 142)
Let q(w) be the second derivative of -40*w + 2/21*w**3 + 0 - 4/35*w**5 - 1/7*w**4 + 0*w**2. What is c in q(c) = 0?
-1, 0, 1/4
Let h be (-432)/90 - 18/15. Let i be -13 - h - (86/(-8) - -3). Let 3/2*l**2 + i*l + 3/4*l**5 - 3/4*l**4 - 3/2*l**3 - 3/4 = 0. Calculate l.
-1, 1
Let z = 5606/12779 + -280/983. Find g such that -64/13*g - 20/13*g**3 + z*g**4 + 64/13*g**2 + 0 = 0.
0, 2, 4
Let i be -7*15/150*-5. Solve -i*j + 2 - j**2 = 0.
-4, 1/2
Factor 0 - 58*p**2 - 11*p**3 - 1/3*p**4 + 208/3*p.
-p*(p - 1)*(p + 8)*(p + 26)/3
Solve -621/8*b**2 + 0 - 405/8*b**3 - 15/8*b**5 + 0*b + 1041/8*b**4 = 0.
-3/5, 0, 1, 69
Let i = -626549/4 - -156638. Solve -i*l**3 - 15/2*l**2 - 24 - 24*l = 0.
-4, -2
Let f = -20917 - -20922. Let t(j) be the third derivative of -7/20*j**4 + 49/30*j**3 - 32*j**2 + 3/100*j**f + 0*j + 0. Factor t(y).
(3*y - 7)**2/5
Suppose 0 = -1047*d + 7790 + 13150. Determine z so that -d - 4/3*z**4 + 64/3*z**2 - 8/3*z**3 + 8/3*z = 0.
-5, -1, 1, 3
Let b(s) be the third derivative of s**5/150 - s**4/5 - 28*s**3/15 - 188*s**2 + 14*s. What is q in b(q) = 0?
-2, 14
Factor -63/5*m**2 + 0*m + 39/5*m**4 + 0 - 24/5*m**3.
3*m**2*(m + 1)*(13*m - 21)/5
Let f be (-5)/15 - 4/6 - -3. Suppose -f*w - 15*q = -16*q, 20 = 5*q. Find m, given that -1/2*m**4 + 0 - 1/4*m**5 + 1/2*m**w + 0*m + 1/4*m**3 = 0.
-2, -1, 0, 1
Let d = -2953892/91 + 421992/13. Solve 22/7*l - 18/7*l**3 + 24/7*l**2 + d = 0 for l.
-1/3, 2
Suppose 0 = -3*w - 36, -1455*f + 1451*f + 12 = -w. Suppose 21/5*v**2 + 21/5*v**3 + 6/5*v**4 + 6/5*v + f = 0. Calculate v.
-2, -1, -1/2, 0
Let v(a) = 9*a**2 + 2724*a - 5263. Let s(w) = 4*w**2 + 1360*w - 2634. Let n(q) = 13*s(q) - 6*v(q). Find u such that n(u) = 0.
2, 666
Let w(l) be the first derivative of -5*l**4/4 + 35*l**3/3 - 55*l**2/2 + 25*l + 57. Solve w(v) = 0 for v.
1, 5
Suppose 5*p - 4*j = 194, -5*p - 44 = j - 258. Let i be ((-1)/9)/((-21)/p). Determine k so that 0*k + 0 - 2/9*k**2 - i*k**4 - 4/9*k**3 = 0.
-1, 0
Let f(o) be the second derivative of 7/12*o**4 + 1/60*o**6 + 0 + 52*o + 0*o**2 - 7/40*o**5 - 2/3*o**3. Suppose f(h) = 0. C