 4*p**5/5 + 55*p**4/4 - 350*p**3/3 + 2125*p**2/4 - 372*p + 3. Find f such that d(f) = 0.
5, 17
Let c = -525158 + 525158. Determine n, given that 0 + 50/7*n**2 + c*n + 30/7*n**3 + 2/7*n**5 - 18/7*n**4 = 0.
-1, 0, 5
Suppose -9*p = 5*u - 81, -25*u + 43 = 4*p - 22*u. Determine h, given that -h**5 + 3*h**3 + 0 - h**2 - 1/3*h**p - 2/3*h = 0.
-2, -1/3, 0, 1
Suppose 24*z + 95/4 + 1/4*z**2 = 0. What is z?
-95, -1
Let g = -1657 - -1691. Let m be -3 + g/14 + (-112416)/(-728). Factor 2/13*y**3 + 600/13*y - m - 60/13*y**2.
2*(y - 10)**3/13
Factor 80*b - 12142 - 347*b + 23632 + 3*b**2 - 12036.
3*(b - 91)*(b + 2)
Suppose 416*x + 5 = 417*x. Factor 20*y**2 + 192*y + x*y**2 - 21*y**2 + 2304.
4*(y + 24)**2
Let j(h) be the first derivative of -h**3/2 - 81*h**2/2 - 2187*h/2 - 510. Factor j(p).
-3*(p + 27)**2/2
Let h = 1040 - 1038. Determine z, given that -2/3*z**h - 3/2*z**3 - 1/6*z**5 + 0 + 0*z - z**4 = 0.
-4, -1, 0
Let p(u) be the third derivative of 0*u + 0*u**3 - 3*u**2 + 1/112*u**8 + 1/8*u**6 - 9 + 0*u**4 + 2/35*u**7 + 1/10*u**5. Find i such that p(i) = 0.
-2, -1, 0
Let w(d) be the first derivative of 40 - 26/7*d**2 + 48/7*d + 6/7*d**3 - 1/14*d**4. Factor w(h).
-2*(h - 4)*(h - 3)*(h - 2)/7
Solve 47*n**2 - 76 + 20*n - 49*n**2 - 62*n = 0 for n.
-19, -2
Let g(p) be the third derivative of -p**8/84 + 38*p**7/105 - 31*p**6/10 + 27*p**5/5 + 63*p**4 - 432*p**3 + 533*p**2 - 2*p. Determine n, given that g(n) = 0.
-2, 3, 12
Solve -3*a**4 + 1/3*a**5 + 16 - 80/3*a + 8*a**2 + 16/3*a**3 = 0.
-2, 1, 2, 6
Suppose -70*o**3 + 181*o + 208*o**2 + 6*o**4 + 2*o**5 + 214*o**3 - 78*o - 288 - 199*o + 24*o**4 = 0. What is o?
-6, -2, 1
Let y(z) = -z**2 + 207*z - 5009. Let a be y(28). Solve -12*w - 40 - 1/5*w**a + 18/5*w**2 = 0 for w.
-2, 10
Let x(n) be the third derivative of -n**8/336 - 4*n**7/35 - 21*n**6/40 + n**5/15 + 7*n**4/2 + 2*n**2 + 95. Factor x(z).
-z*(z - 1)*(z + 2)**2*(z + 21)
Factor -6/7*i**2 + 312/7*i - 3/7*i**3 - 576/7.
-3*(i - 8)*(i - 2)*(i + 12)/7
Let z = 155319/5 - 31063. Suppose 2/5*a**2 + 2/5 - z*a = 0. What is a?
1
Let m(a) be the third derivative of -a**5/60 + 13*a**4/24 + 34*a**3/3 - 452*a**2. Find p such that m(p) = 0.
-4, 17
Determine q so that 0*q + 174*q**2 + 1/2*q**4 + 119/2*q**3 + 0 = 0.
-116, -3, 0
Let w(s) = -8*s**3 - 54*s**2 - 718*s - 120. Let x(d) = -20*d**3 - 163*d**2 - 2157*d - 370. Let c(n) = 17*w(n) - 6*x(n). Factor c(a).
-4*(a - 9)*(a + 5)*(4*a + 1)
Let f(b) = -4*b**3 + 4*b**2 + b + 1. Let r(l) = -33*l**3 + 41*l**2 + 425*l - 417. Let h(s) = -40*f(s) + 5*r(s). Factor h(j).
-5*(j - 25)*(j - 1)*(j + 17)
Let l be 2/9 - (1896/27 + -7). Let r be 4/((-1)/(18/l)). Determine k, given that -10/7*k**2 - 4/7*k + 24/7*k**3 - 2/7*k**4 + 0 - r*k**5 = 0.
-2, -1/4, 0, 1
Let o be ((-24)/16)/(0 - (-6)/(-16)). Find p, given that -8*p**o - 9*p**5 + 4*p**2 + 2*p**3 + 8*p**5 - 5*p**5 = 0.
-1, 0, 2/3
Let t be (-584695)/(-21861) + (-3 - 2 - 72/(-14)). Determine g, given that -332/9*g**2 + 176/3*g + 16/3*g**3 - t - 2/9*g**4 = 0.
1, 11
Let l(r) be the third derivative of r**7/6 - 47*r**6/24 - 7*r**5 + 115*r**4/6 + 80*r**3/3 + 500*r**2. Determine f, given that l(f) = 0.
-2, -2/7, 1, 8
Let s(n) = -636*n**3 + 13676*n**2 - 3134*n + 175. Let b(w) = 628*w**3 - 13676*w**2 + 3135*w - 174. Let d(g) = 5*b(g) + 6*s(g). Find f, given that d(f) = 0.
3/26, 20
Find o, given that 472/5 - 4/5*o**2 - 228/5*o = 0.
-59, 2
Let i(k) = k**3 + 19*k**2 + 19*k - 33. Let a be i(-15). Let c = 584 - a. Factor 4/5 - 3/5*n - 1/5*n**c.
-(n - 1)*(n + 4)/5
Let f(k) = k**2 + 5*k - 2. Suppose -2*p - 9 - 3 = 0. Let s be f(p). Factor s*g + 14*g**4 + 8*g**2 - 4*g**3 - 24*g**2 + 2*g**2.
2*g*(g - 1)*(g + 1)*(7*g - 2)
Let z = 18938/7 - 56569/21. Let a(j) be the first derivative of 22 + 15/2*j**2 + 25/4*j**4 - j**5 - z*j**3 + 0*j. Factor a(t).
-5*t*(t - 3)*(t - 1)**2
Suppose -39 = -23*q - 27 + 57. Let x(i) be the second derivative of 20*i - 2/45*i**6 + 2/3*i**4 + 0 + 0*i**5 - 16/9*i**q + 2*i**2. Solve x(r) = 0.
-3, 1
Suppose -290 = 64*p - 69*p. Suppose 4*f - p = -5*w, 5*f - 3*w = 2*f + 57. Factor -1/2*r**4 + 847*r - 198*r**2 + f*r**3 - 1331/2.
-(r - 11)**3*(r - 1)/2
Let s(x) = -116*x**3 - 1094*x**2 - 2219*x. Let p(c) = -21*c**3 - 219*c**2 - 444*c. Let k(i) = -11*p(i) + 2*s(i). Factor k(f).
-f*(f - 223)*(f + 2)
Let n(f) be the first derivative of -2*f**5/5 - 3*f**4 + 32*f**2 - 744. What is m in n(m) = 0?
-4, 0, 2
Let c(g) be the third derivative of g**5/30 + 695*g**4/3 + 1932100*g**3/3 + 2*g**2 + g + 379. What is i in c(i) = 0?
-1390
Let n(d) be the second derivative of d**4/12 - 87*d**3/2 + 130*d**2 - 2480*d. Let n(k) = 0. Calculate k.
1, 260
Suppose 119*p = 124*p - 60. Let l be -1 + 62/10 - (17 - p). What is w in 4/5*w + 0 + l*w**2 = 0?
-4, 0
Let q be -37*1193717/(-72261) - -13*1. Factor 2/9*a**2 + 212/9*a + q.
2*(a + 53)**2/9
Let r(w) be the first derivative of -w**3/5 + 21*w**2/10 + 234*w/5 + 5138. Suppose r(f) = 0. Calculate f.
-6, 13
Let p = 235 - 233. Factor -76*w**4 + 36*w**3 - 18*w**2 + 68*w**4 - 22*w**p.
-4*w**2*(w - 2)*(2*w - 5)
Let l(d) be the third derivative of -d**7/70 - 79*d**6/40 - 371*d**5/4 - 11025*d**4/8 - d**2 - 482. Factor l(u).
-3*u*(u + 9)*(u + 35)**2
Let o(c) be the third derivative of -c**8/168 + c**7/35 + c**6/60 - 11*c**5/30 + c**4 - 4*c**3/3 + 1180*c**2. Suppose o(z) = 0. What is z?
-2, 1, 2
Let d be ((8/6)/1)/((-5216)/(-15648)). What is a in 0 - 1/3*a - 2/3*a**2 + 7/3*a**3 - 4/3*a**d = 0?
-1/4, 0, 1
Let c(n) = -306*n + 7347. Let v be c(24). Let -246/5*s + 6/5*s**v - 126/5 - 114/5*s**2 = 0. What is s?
-1, 21
Factor 131*l + 263/2 - 1/2*l**2.
-(l - 263)*(l + 1)/2
Let z = 313/9 + -2477/72. Let n = -183 - -185. Suppose 0 - z*d - 3/8*d**3 + 3/4*d**n = 0. Calculate d.
0, 1
Suppose 4*i - 58 = -j, 56 = 133037*i - 133033*i. Factor 3/2*s**j - 1/2*s**3 - 6 + 2*s.
-(s - 3)*(s - 2)*(s + 2)/2
Let q(o) be the second derivative of -195*o + 19/48*o**4 + 1/120*o**6 + 0*o**2 + 0 + 11/80*o**5 + 3/8*o**3. Factor q(f).
f*(f + 1)**2*(f + 9)/4
Factor -184*i + 555*i - 4*i**2 - 1822*i + 1380 - 330*i + 405*i.
-4*(i - 1)*(i + 345)
Determine n, given that 0*n - 12/5*n**2 + 12/5*n**4 + 0 + 2/5*n**3 - 2/5*n**5 = 0.
-1, 0, 1, 6
Let v(s) be the third derivative of 0*s**4 + 1/90*s**6 + 2*s**2 - 2/45*s**5 - 34 + 2/315*s**7 + 0*s + 0*s**3. Factor v(l).
4*l**2*(l - 1)*(l + 2)/3
Let q be 8 + 6 - 14/(28/18). Let j(u) be the first derivative of 5/9*u**2 + 25 - 2/9*u**3 + 2/45*u**q - 1/18*u**4 - 4/9*u. Factor j(y).
2*(y - 1)**3*(y + 2)/9
Factor 3*w**2 + 5*w**2 - 64*w - 7*w**2 - 3*w**2 - 2*w**2 - 156.
-4*(w + 3)*(w + 13)
Let p = -298 + 306. Let g be (p/4)/28*6. Determine k so that 0*k - g*k**3 + 3/7*k**2 + 0 = 0.
0, 1
Let q(p) = -2*p**4 - 3*p**4 - 1 - p**3 + 0*p + 7 + p + 3*p**4 + 2*p**2. Let a(t) = 3*t**4 - 3*t**2 - 8. Let l(f) = -3*a(f) - 4*q(f). Factor l(c).
-c*(c - 4)*(c - 1)*(c + 1)
Let j(q) be the third derivative of q**10/352800 + q**9/47040 + q**8/23520 + 19*q**5/30 - q**2 - 10. Let z(k) be the third derivative of j(k). Factor z(a).
3*a**2*(a + 1)*(a + 2)/7
Suppose 13 - 2 = 3*j + 2*o, -5*o + 17 = -3*j. Factor 5*z**2 + 12 + 11 - 7 - 20*z - j.
5*(z - 3)*(z - 1)
Let g = 97090 + -97090. Determine t, given that g - 48/7*t**2 - 2/7*t**3 - 288/7*t = 0.
-12, 0
Let m(d) be the first derivative of -5/4*d**5 + 5*d + 1 - 5/8*d**4 + 10*d**2 + 25/4*d**3. Determine h so that m(h) = 0.
-1, -2/5, 2
Suppose -2*v + 8 = 2*i - 6*i, 5*v = 3*i + 13. Let q be i/(((-2 - -6)/(-16))/1). Factor -3*h**3 - 3*h**4 + 4*h**4 - h**q - 4*h**4 + h**2.
-h**2*(h + 1)*(4*h - 1)
Let v(p) be the second derivative of 4/3*p**2 + 28*p + 1 - 1/180*p**6 + 0*p**4 - 4/9*p**3 + 1/30*p**5. Factor v(s).
-(s - 2)**3*(s + 2)/6
Let u(j) be the third derivative of -8/3*j**3 + 1/168*j**8 + 5/12*j**6 - 9*j + 0 + 7/3*j**4 + 5*j**2 - 19/15*j**5 - 8/105*j**7. Let u(f) = 0. What is f?
1, 2
Let z = -16480 - -16482. Let m(p) be the second derivative of 0 + 3/50*p**5 + 1/6*p**4 + 39*p - 4/5*p**z - 4/15*p**3. Factor m(y).
2*(y - 1)*(y + 2)*(3*y + 2)/5
Let d be (197 - 201)*(-30)/40. Find u, given that 42*u**5 + 864/5 + 2314/5*u**4 - 7296/5*u**2 + 5096/5*u**d + 576/5*u = 0.
-6, -2/7, 3/5, 2/3
Let q(c) = -2*c**2 - 21*c + 119. Let u be q(4). Let f(g) be the first derivative of 2*g + 5/6*g**u - 3*g**2 + 7. Suppose f(x) = 0. Calculate x.
2/5, 2
Suppose 3*w + 78 = 93. Let h(f) be the seco