 2/7*f**z + 56 + 64*f + 58/7*f**2.
2*(f + 1)*(f + 14)**2/7
Let l(m) be the third derivative of m**6/210 + 82*m**5/105 - 172*m**4/21 + m**2 - 6*m + 9. Find v, given that l(v) = 0.
-86, 0, 4
Let -108*j - 1/4*j**3 - 15*j**2 - 208 = 0. Calculate j.
-52, -4
Factor 1/6*w**2 + 37 - 43/6*w.
(w - 37)*(w - 6)/6
Let d be (-27)/378 + 414/504. Factor -27/4*g**2 - 21/4 + d*g**3 + 45/4*g.
3*(g - 7)*(g - 1)**2/4
Let v(z) be the first derivative of -3*z**5/5 + 99*z**4/2 + 1680*z**3 + 18669*z**2 + 89523*z + 1204. Suppose v(u) = 0. Calculate u.
-7, 87
Let w(a) be the third derivative of 5929*a**5/80 - 77*a**4/8 + a**3/2 + 26*a**2 + a + 88. Factor w(q).
3*(77*q - 2)**2/4
Let j = -1180062 - -3540197/3. Determine d so that -1/3*d**2 - j + 4*d = 0.
1, 11
Let q(u) be the third derivative of u**5/3 - 4375*u**4/24 - 1465*u**3/2 - 3669*u**2. Let q(t) = 0. Calculate t.
-1, 879/4
Factor -20/3*d**2 - 20/3*d + 5/3*d**3 + 5/3*d**4 + 0.
5*d*(d - 2)*(d + 1)*(d + 2)/3
Let -704/7 + 4/7*v**2 + 20/7*v = 0. What is v?
-16, 11
Suppose 3*i - 727 = -517. Factor 5*d**2 - 6*d + 11*d - i*d.
5*d*(d - 13)
Factor 4033*b + 3660*b + 1690 - 5*b**2 - 8528*b.
-5*(b - 2)*(b + 169)
Let x(l) be the third derivative of l**7/315 + l**6/18 - 26*l**5/45 + 14*l**4/9 - 1942*l**2. Let x(f) = 0. What is f?
-14, 0, 2
Let k(h) be the third derivative of h**6/80 - h**5/10 - 3*h**4/16 + 9*h**3/2 + 4*h**2 - 6*h. Factor k(q).
3*(q - 3)**2*(q + 2)/2
Let l(b) be the third derivative of -2/3*b**3 - 13/24*b**4 + 0 - 1/20*b**5 + 5*b**2 + 5*b. Factor l(w).
-(w + 4)*(3*w + 1)
Let t(d) = -d**3 - 7*d**2 - 17*d - 63. Let o be t(-6). What is u in 3*u**2 + 11*u**2 + 4*u**5 - 12*u**o - 6*u**2 = 0?
-2, 0, 1
Let c = -4059 - -4062. Let i(o) be the first derivative of 8*o**5 + 195/4*o**4 + 0*o + 26 + 20*o**2 + 170/3*o**c - 25/6*o**6. Suppose i(d) = 0. What is d?
-1, -2/5, 0, 4
Let y(a) be the third derivative of a**7/280 + 13*a**6/80 - 1103*a**5/80 - 285*a**4/4 - 144*a**3 - 3*a**2 + 2006*a. Let y(r) = 0. What is r?
-48, -1, 24
Let s(a) be the first derivative of -2*a**3/3 - 2351*a**2 + 5585. Factor s(z).
-2*z*(z + 2351)
Let v = -35 + 71. Suppose -1 = -4*m + 3*o + v, 5*o - 45 = -4*m. Factor -m*h - 8*h + 15*h + 3*h**3.
3*h*(h - 1)*(h + 1)
Suppose 122*h - 158 + 14 = 100. Factor -1/6*d**4 + 154/3*d - 83/2*d**h + 98 + 5*d**3.
-(d - 14)**2*(d - 3)*(d + 1)/6
Suppose 736*p - 559*p + 1071*p - 3 = 2493. Find q, given that 9 + 24/5*q + 3/5*q**p = 0.
-5, -3
Determine d, given that -22 - 1472*d - 190*d**4 + 652*d - d**5 + 415*d**3 - 4*d**5 + 580*d**2 - 778 = 0.
-40, -1, 2
Let n(i) = 2*i**2 + 86*i + 169. Let h be n(-2). Suppose 0 - h*c**3 + 1/2*c**5 + 4*c**2 + 0*c + 1/2*c**4 = 0. Calculate c.
-4, 0, 1, 2
Let h(n) be the second derivative of 3*n**5/40 - 217*n**4/8 + 11663*n**3/4 + 35643*n**2/4 + n - 272. Let h(p) = 0. Calculate p.
-1, 109
Let h be ((-1948)/60*-3 - 1)*5. Let w = h + -307. Factor 4*f**4 + 9*f + 183 + 19*f + 36*f**2 - w + 20*f**3.
4*(f + 1)**3*(f + 2)
Factor -80*r**2 + 163/2*r + 161 - 1/2*r**3.
-(r - 2)*(r + 1)*(r + 161)/2
Let w(d) = 2*d**2 - 1516*d + 144404. Let b(o) = o**2 - 2*o - 2. Let t(y) = 2*b(y) + w(y). Find h such that t(h) = 0.
190
Suppose 0 = -231*c + 230*c + 4. Suppose c*b - 2*l = 18, 5*b = 4*l - 7*l + 17. Solve 0 - 7/3*h**2 - 5/3*h**b + 1/3*h**5 + 2/3*h + 3*h**3 = 0.
0, 1, 2
Let r(s) be the first derivative of s**4/8 - 193*s**3/6 + 2352*s**2 - 4608*s - 4804. Let r(x) = 0. Calculate x.
1, 96
Suppose 0 = 12*d - 120 + 96. Factor 6*h + 21*h - 30 - 459*h**2 + 462*h**d.
3*(h - 1)*(h + 10)
Let x(s) = -2*s**2 + s + 1. Let b be x(1). Suppose -3*v + u + 9 = b, -v + 7 = -2*v - 3*u. Factor -18*f**v - 20*f**2 + 4*f + 59*f**2 - 17*f**2.
4*f*(f + 1)
Let i(c) = 103*c**3 + 94*c**2 - 578*c + 816. Let b(s) = 402*s**3 + 375*s**2 - 2313*s + 3264. Let v(w) = 10*b(w) - 39*i(w). Factor v(j).
3*(j - 4)*(j - 2)*(j + 34)
Let v(y) be the second derivative of y**6/270 + 251*y**5/180 + 331*y**4/36 + 1237*y**3/54 + 247*y**2/9 - 706*y + 1. Suppose v(k) = 0. What is k?
-247, -2, -1
Let -10/11*c**4 + 48/11 + 2/11*c**5 - 116/11*c - 6/11*c**3 + 82/11*c**2 = 0. Calculate c.
-3, 1, 2, 4
Suppose -1212 - 264 = -3*z + s, 4*z = -4*s + 1968. Let t = z - 490. Factor 0*d**t + 5/3*d**3 + 0 - 10/3*d**4 + 0*d + 5/3*d**5.
5*d**3*(d - 1)**2/3
Factor -1827872/7 - 2/7*a**2 - 3824/7*a.
-2*(a + 956)**2/7
Suppose -37*r = -33*r - 528. Factor -138*p**2 - 20*p + 20*p**3 - r*p**2 + 260*p**2 - 5*p**4 + 15.
-5*(p - 3)*(p - 1)**2*(p + 1)
Let u = 12307722/13 - 946738. Solve -2/13*a**5 + 82/13*a**2 - u*a - 120/13 + 66/13*a**3 - 2*a**4 = 0.
-15, -1, 2
Suppose 42 = 2*p + 5*o, 4*p + 0*o + 3*o - 84 = 0. Suppose 3*v + 21 = 3*g, 4*v = 2*g - p - 3. Factor 0*n**4 + 4/7*n**3 + 0*n**g + 0*n + 0 - 4/7*n**5.
-4*n**3*(n - 1)*(n + 1)/7
Find h such that 42/5*h**3 - 47*h**2 + 1/5*h**4 + 0*h + 0 = 0.
-47, 0, 5
Let f(y) be the first derivative of 2*y**5/5 - 2*y**4 - 98*y**3 - 270*y**2 - 29. Factor f(x).
2*x*(x - 15)*(x + 2)*(x + 9)
Let q be -6 - (1 + -2) - (-9408)/1872. Let x(s) be the second derivative of -q*s**3 - 1/273*s**7 + 0*s**4 + 0*s**2 + 0*s**6 + 1/65*s**5 - 6*s + 0. Factor x(g).
-2*g*(g - 1)**2*(g + 1)**2/13
Determine p so that -103*p**2 + 8650*p - 1098235 + 61*p**2 + 37*p**2 - 2642890 = 0.
865
Let n(m) be the second derivative of 0 + 4/3*m**3 + 1/20*m**5 + 0*m**2 + 5*m + 1/2*m**4. Solve n(v) = 0 for v.
-4, -2, 0
Suppose -5*v + 107 = -118. Let d be ((-2)/(12/v))/(3/(-6)). Find m such that -16*m - 4 + 2*m + 9*m**2 - d*m**2 = 0.
-2, -1/3
Let v(t) be the first derivative of -73 + 0*t**2 + 13*t**4 - 4/5*t**5 + 0*t + 0*t**3. Factor v(i).
-4*i**3*(i - 13)
Let x(a) be the first derivative of 16*a**5/5 + 3*a**4 - 244*a**3/3 - 204*a**2 - 422. Suppose x(z) = 0. What is z?
-3, -2, 0, 17/4
Let b = 2/57929 + 173779/231716. Determine x, given that 225/8*x**4 - 69/8*x**3 - 219/8*x**2 - 81/8*x - b + 75/4*x**5 = 0.
-1, -2/5, -1/10, 1
Let h(o) be the second derivative of 5*o**7/84 + 5*o**6/4 + 37*o**5/4 + 275*o**4/12 - 125*o**3/4 - 625*o**2/4 + 1276*o. Factor h(l).
5*(l - 1)*(l + 1)*(l + 5)**3/2
Let y be (-4)/74 + -45 + (-526659)/(-11655). Suppose 0*q**3 + 2/15*q**4 + 0*q - 4/15*q**2 + y = 0. What is q?
-1, 1
Suppose 603*d = 579*d + 4224. Let h be d/39 - (651/(-91) - -7). Let -10*v - 6 - h*v**2 - 2/3*v**3 = 0. What is v?
-3, -1
Let w(x) be the second derivative of 0 - 1/30*x**4 + 12/5*x**3 + x - 324/5*x**2. Factor w(d).
-2*(d - 18)**2/5
Suppose -2274 - 224*z**2 - 11*z**2 + 3080*z - 3124 - 710 + 5*z**3 - 1152 = 0. What is z?
3, 22
Factor -612/5*j - 93636/5 - 1/5*j**2.
-(j + 306)**2/5
Solve -3188*u**2 - 242 - 8*u**3 + 705 + 507 - 2116*u + 90 - 4*u**3 = 0.
-265, -1, 1/3
Suppose 5*f = g + 705 - 669, 0 = -5*f - 4*g - 44. Let 23/9*s + 1/9*s**f + 25/9*s**3 + 47/9*s**2 + 0 = 0. Calculate s.
-23, -1, 0
Let l(i) = -i**2 + 306*i + 14230. Let q be l(-41). Factor -3/2 - 15/4*s**q - 21/4*s - 27/4*s**2 - 3/4*s**4.
-3*(s + 1)**3*(s + 2)/4
Let m(p) = 4*p**3 + 8*p**2 + 10*p + 3. Let o(k) = -k**3 - k**2 - k. Let u be (116/(-12))/(2/18). Let z = 91 + u. Let f(d) = z*m(d) + 12*o(d). Factor f(b).
4*(b + 1)**2*(b + 3)
Let h(d) be the first derivative of 5*d**6/6 - 39*d**5 + 895*d**4/4 - 1565*d**3/3 + 600*d**2 - 340*d + 966. Factor h(g).
5*(g - 34)*(g - 2)*(g - 1)**3
Let w(j) = 10*j**2 + 1595*j - 4210. Let c(p) = p**2 + 177*p - 470. Let s(d) = -35*c(d) + 4*w(d). Factor s(k).
5*(k - 2)*(k + 39)
Let w(b) = b**2 - 92*b + 1277. Let y be w(17). Let o(c) be the second derivative of -75/4*c**y + 0 + 5/2*c**3 - 1/8*c**4 - 19*c. Solve o(z) = 0.
5
Let z(g) be the second derivative of -g**4/4 + 579*g**3 - 3471*g**2/2 - 4661*g. Factor z(v).
-3*(v - 1157)*(v - 1)
Let a be 508/(-381) - 44759/21. Let z = a + 2133. Suppose 2/7*o + z*o**2 - 4/7 = 0. What is o?
-2, 1
Let t be ((-67892)/330)/(3/(-9)). Let x = t - 615. Solve 2/5 - x*o**2 - 4/5*o**3 - o = 0 for o.
-2, -1, 1/4
Suppose -5*i + 1303 = 4*i + 636 + 649. What is g in -1/8*g**5 + 1/4*g**i - 1/8*g - 1/8*g**4 - 1/8 + 1/4*g**3 = 0?
-1, 1
Suppose -3*a - 3*l - 6 = 0, 3*a - 26 = 3*l + 2*l. What is w in -170*w**3 - 43*w - 3*w**4 - 26*w + 315*w**a - 12*w**4 - 61*w = 0?
-13, 0, 2/3, 1
Let h be (1/(24/(-20)))/((-33)/396) + 144/(-15). Factor 392/5 + h*o**2 - 56/5*o.
2*(o - 14)**2/5
Suppose 109 = -9*x + 172. Let q(k) be the second derivative of -16/21*k**x + 0 - 18*k**2 - 64/3*k**4 - 14*k - 273/10