0*u**w.
-2*u**3*(u - 1)/7
Let u = -2 - 18. Let s = u + 38. Find j, given that -21*j**2 + j**2 - 4*j**4 + s*j**3 + 0*j**4 + 5*j + j = 0.
0, 1/2, 1, 3
Let s(r) be the first derivative of r**3 + 60*r**2 - 123*r + 3865. Determine q, given that s(q) = 0.
-41, 1
Let k(s) be the first derivative of 4*s**5/35 + 101*s**4/7 + 56*s**3/3 - 400*s**2/7 - 5071. Suppose k(m) = 0. Calculate m.
-100, -2, 0, 1
Let k(g) = -g**3 - 6*g**2 - 2006*g - 10001. Let i be k(-5). Determine n, given that 32/5*n**3 + 0*n + 16/5*n**2 + 0 + 4*n**i + 4/5*n**5 = 0.
-2, -1, 0
Let t = 121381 - 242761/2. Solve -5/2*n**2 + 4*n - 2 + t*n**3 = 0 for n.
1, 2
Let r(o) be the third derivative of o**8/5040 - 2*o**7/315 + o**6/15 + 21*o**5/10 + 132*o**2. Let w(d) be the third derivative of r(d). What is q in w(q) = 0?
2, 6
Let o(c) be the first derivative of 54 + 3*c**2 + 2/3*c**3 + 4*c. Factor o(u).
2*(u + 1)*(u + 2)
Let q(h) be the third derivative of h**7/2520 + h**6/480 - h**5/40 + 6*h**2 + 319*h. Suppose q(v) = 0. What is v?
-6, 0, 3
Let q(s) be the first derivative of s**4/10 - 44*s**3/5 + 145*s - 162. Let n(v) be the first derivative of q(v). Factor n(u).
6*u*(u - 44)/5
Let m(d) be the first derivative of -1/3*d**6 + 0*d + 36*d**3 - 18*d**4 + 4*d**5 + 127 - 27*d**2. Factor m(x).
-2*x*(x - 3)**3*(x - 1)
Solve 176558481/8 + 1683/8*g**2 - 944163/8*g - 1/8*g**3 = 0 for g.
561
Factor 139392*f + 282*f**3 + 0 - 14784*f**2 - 3/2*f**4.
-3*f*(f - 88)**2*(f - 12)/2
Let m be -5 + ((-77220)/(-336))/45. Let s(z) be the first derivative of -6 - m*z**4 + 15/14*z**2 - 9/7*z - 1/7*z**3. Determine g so that s(g) = 0.
-3, 1
Factor -80*u**4 - 4*u**5 - 13 + 2803*u - 568*u**2 - 336*u**3 - 107 - 3231*u.
-4*(u + 1)**3*(u + 2)*(u + 15)
Let t(c) be the first derivative of -1/192*c**5 - 9 - 10/3*c**3 + 1/960*c**6 + 1/96*c**4 + 0*c + 0*c**2. Let u(d) be the third derivative of t(d). Factor u(v).
(v - 1)*(3*v - 2)/8
Let f = -30243 - -30243. Factor g**2 - g + 39/4*g**3 + 9*g**4 + f.
g*(3*g + 2)**2*(4*g - 1)/4
Let u be ((-63)/(-14))/(15/250). Let k = 78 - u. Determine f, given that -2/3*f**k - 4*f + 14/3*f**2 + 0 = 0.
0, 1, 6
Determine o so that 15 - 1/10*o**2 - 73/10*o = 0.
-75, 2
Let d(i) be the third derivative of -i**6/120 - 3*i**5/10 - 4*i**4/3 - 26*i**2 + i. Find n such that d(n) = 0.
-16, -2, 0
Let d(v) be the third derivative of 53/6*v**5 - 115/8*v**4 + 85/6*v**3 - 37/12*v**6 + 1/2*v**7 + 0 - 5/336*v**8 + 16*v**2 + 0*v. Suppose d(j) = 0. What is j?
1, 17
Determine u, given that -6976*u - 12939 + 5*u**3 - 4*u**4 - 91*u**3 + 7563 + 20*u**3 - 86*u**3 - 1748*u**2 = 0.
-21, -8, -1
Let m be (-5 - -11)*(0 + 138/(-3)). Let u = m + 280. Factor 2/9*p**5 - 2/9*p**3 + 0 - 2/9*p**u + 0*p + 2/9*p**2.
2*p**2*(p - 1)**2*(p + 1)/9
Let q(a) = 86*a + 177. Let i be q(-2). Let z(t) be the second derivative of -t**4 - 3/20*t**i - 3*t**2 + 0 - 5/2*t**3 + 8*t. Let z(r) = 0. What is r?
-2, -1
Let m be ((-2)/3)/(4/(-30)). Suppose 35 - 15 = 5*p. Factor -6*v**3 + 17*v**m - 33*v**5 + p*v**4 + 18*v**5.
2*v**3*(v - 1)*(v + 3)
Suppose -181804/13*c + 48016/13*c**2 + 8/13*c**5 + 181796/13*c**3 - 45602/13 - 2414/13*c**4 = 0. Calculate c.
-1, -1/4, 1, 151
Let l = -39419/3 + 24995/2. Let u = -642 - l. Factor -1/3 + u*f + 19/6*f**3 + 7/6*f**4 + 5/2*f**2.
(f + 1)**3*(7*f - 2)/6
Let u(w) be the first derivative of 2*w**3/15 + 466*w**2/5 - 13896. Factor u(j).
2*j*(j + 466)/5
Let f(x) be the third derivative of 11/180*x**6 + x**3 + 51*x**2 + 7/12*x**4 - 41/90*x**5 + 0*x + 0. Factor f(v).
2*(v - 3)*(v - 1)*(11*v + 3)/3
Factor 137*s**3 - 229 - 123*s**3 + 304*s + 206*s**2 + 125.
2*(s + 2)*(s + 13)*(7*s - 2)
Solve 4/3*a**3 - 4/3*a**2 + 2/3*a**4 - 2/3*a**5 - 2/3*a + 2/3 = 0 for a.
-1, 1
Let 4/17*p**4 - 16/17*p**2 - 8/17*p + 2/17*p**5 - 6/17*p**3 + 0 = 0. What is p?
-2, -1, 0, 2
Let b = 9749 - 1169873/120. Let j(t) be the third derivative of -3/20*t**5 - b*t**6 + 0*t + 2/3*t**3 + 6*t**2 + 1/2*t**4 + 0. Factor j(q).
-(q - 1)*(q + 2)*(7*q + 2)
Suppose -27*k - 27 = 0, -12*y = -14*y + 3*k + 9. Factor 0 - 64/9*c**2 + 22/9*c**y + 56/9*c - 2/9*c**4.
-2*c*(c - 7)*(c - 2)**2/9
Let a(y) = -y**2 + 63*y + 441. Let d(q) = 4*q**2 - 314*q - 2208. Let j be (8/8)/((-7)/(-21)). Let f(i) = j*d(i) + 14*a(i). Factor f(p).
-2*(p + 15)**2
Let x(j) be the third derivative of 0*j + 5*j**2 + 1/90*j**6 + 0*j**5 + 2 - 1/504*j**8 + 0*j**3 + 0*j**4 + 1/315*j**7. Factor x(o).
-2*o**3*(o - 2)*(o + 1)/3
Let k(d) be the second derivative of -5/12*d**4 - 27*d - 5/3*d**3 + 0*d**2 + 2. Factor k(b).
-5*b*(b + 2)
Suppose 16*s = 22*s - 12. Suppose 3*p - 26 = -4*x, s*p - 2*x + 2 = -2*p. Factor -3*q**2 - 7*q**3 + 5*q - 7*q**2 + 0*q**p + 10 + 2*q**3.
-5*(q - 1)*(q + 1)*(q + 2)
Determine x, given that -2/17*x**2 + 0 + 16/17*x + 2/17*x**4 - 16/17*x**3 = 0.
-1, 0, 1, 8
Let r be (-868)/155*(-10)/14. Let d(c) be the first derivative of -26 + 0*c**2 - 1/2*c**r + 4/3*c**3 + 0*c. Factor d(p).
-2*p**2*(p - 2)
Let p = 743 - 401. Suppose -345*y + 6 = -p*y. What is w in -6/17*w**y + 6/17*w + 2/17*w**3 - 2/17 = 0?
1
Let h(o) = -7*o**3 - 40*o**2 - 23*o - 207. Let c be h(-6). Suppose -3/4*m - 1/2 + 1/4*m**2 + 1/4*m**4 + 3/4*m**c = 0. What is m?
-2, -1, 1
Let g(w) = -w**3 + 59*w**2 - 129*w - 187. Let a(l) = 4*l**3 - 176*l**2 + 387*l + 560. Let n(s) = 2*a(s) + 7*g(s). Suppose n(f) = 0. What is f?
-63, -1, 3
Let i(x) be the first derivative of -x**4 - 112*x**3/3 - 250*x**2 + 616*x - 1734. Factor i(c).
-4*(c - 1)*(c + 7)*(c + 22)
Let z be (-7 - -2)*(-320 - -318). Let b(f) be the first derivative of 1/3*f**3 + 100*f - z*f**2 - 12. Solve b(a) = 0.
10
Let -8324*q**2 - 144190359056/3 + 2/3*q**3 + 34644488*q = 0. Calculate q.
4162
Let y(o) = 9*o**2 - 78*o - 75. Let w(q) = 20*q**2 - 156*q - 150. Let d be -4 - (-8 - -17 - 0). Let v(u) = d*y(u) + 6*w(u). Determine f so that v(f) = 0.
-25, -1
Find n such that -8394*n**2 + 28512/5*n + 1863/5*n**3 + 11616/5 - 21/5*n**4 = 0.
-2/7, 1, 44
Let z(t) = -t**3 - 17*t**2 - 2*t - 18. Let c be z(-17). Determine q so that 1192*q + 28*q**2 - 1096*q + 176*q**5 + 82*q**4 + 62*q**4 - c - 428*q**3 = 0.
-2, -1/2, 2/11, 1/2, 1
Factor 1293*a - 93*a + 103*a + 279*a**4 - 9292*a**2 + 1377*a - 192 - 448*a**3 - 83*a**4.
4*(a - 8)*(a + 6)*(7*a - 1)**2
Find j such that 272/3*j - 48 - 76/3*j**2 - 28*j**3 + 28/3*j**4 + 4/3*j**5 = 0.
-9, -2, 1, 2
Factor -868*s**3 - 352*s**3 - 2650*s**4 + 2339*s**3 + 1581*s**3 + 6627*s**5 - 5810*s**4.
3*s**3*(47*s - 30)**2
Solve -3/2*p**2 + 9/2 - 3*p**4 - 21/2*p + 21/2*p**3 = 0.
-1, 1/2, 1, 3
Let w = 2701 - 32411/12. Let f(l) be the second derivative of 14*l + 1/6*l**3 + 0*l**2 + w*l**4 + 0. Factor f(g).
g*(g + 1)
Let p be (-46)/(-115) - 342/(-90). Factor 0 - p*t**2 + 6/5*t.
-3*t*(7*t - 2)/5
Let v(x) be the third derivative of -x**8/448 - x**7/2 - 1325*x**6/32 - 11017*x**5/8 - 50255*x**4/8 - 12167*x**3 - 381*x**2 - 5. Factor v(a).
-3*(a + 1)**2*(a + 46)**3/4
Suppose -35*z + 0*z + 473 = 368. Let 78/7*t**z + 2/7*t**5 + 24/7*t + 0 + 74/7*t**2 + 30/7*t**4 = 0. What is t?
-12, -1, 0
Let m(u) be the third derivative of -u**7/1155 - 361*u**6/660 - 359*u**5/330 + 361*u**4/132 + 120*u**3/11 + 4624*u**2. Suppose m(k) = 0. Calculate k.
-360, -1, 1
Let f(b) be the third derivative of -b**8/2352 + 17*b**7/1470 - b**6/28 - b**5/210 + 31*b**4/168 - 5*b**3/14 - 13*b**2 + 3*b. Find q, given that f(q) = 0.
-1, 1, 15
Let z = -681 + 373. Let g be z/88*2/(-7). Factor -2/3*k - 1/3*k**2 + g.
-(k - 1)*(k + 3)/3
Suppose 90*z - 201 = -39 + 18. Determine u, given that 4/5*u + 2/15*u**3 + 2/3*u**z + 0 = 0.
-3, -2, 0
Let u(k) be the third derivative of 2/15*k**5 + 0 - 1/6*k**4 + 0*k + 58*k**2 - 4/3*k**3 + 1/30*k**6. Factor u(l).
4*(l - 1)*(l + 1)*(l + 2)
Let l(w) be the first derivative of -4*w**5/5 - w**4 + 12*w**3 + 18*w**2 - 47. Factor l(o).
-4*o*(o - 3)*(o + 1)*(o + 3)
Let k(b) be the second derivative of -2*b**7/7 - 99*b**6/10 + 1839*b**5/20 - 543*b**4/4 - 981*b**3/2 + 405*b**2 - 2*b - 1026. Find c, given that k(c) = 0.
-30, -1, 1/4, 3
Suppose 5*p - 4 = k, -526*k + 524*k - 8 = 3*p. Determine b so that 96/7*b**3 + 64/7*b + 320/7*b**4 - 256/7*b**2 + 100/7*b**5 + p = 0.
-2, 0, 2/5
Let i be 6000/13000*-13*2/(-8). Factor i*w**2 - 87*w + 2523/2.
3*(w - 29)**2/2
Let o(p) be the first derivative of p**6/39 + 76*p**5/65 - 167*p**4/26 + 32*p**3/13 + 252*p**2/13 - 2067. Solve o(j) = 0 for j.
-42, -1, 