*p**3 - 2*p - 8 - p**4.
-(p - 8)*(p - 1)*(p + 1)**2
Let h be 18/((-270)/(-7))*72/42. Factor -h*t**2 - 32/5*t - 64/5.
-4*(t + 4)**2/5
What is i in -570 + 150*i**3 - 1449/2*i**2 + 1146*i - 3/2*i**4 = 0?
1, 2, 95
Let g(v) be the first derivative of v**4/24 + 16*v**3/9 + 55*v**2/4 + 39*v + 10573. Determine z, given that g(z) = 0.
-26, -3
Let 192/11 + 184/11*m - 10/11*m**2 - 2/11*m**3 = 0. Calculate m.
-12, -1, 8
Let o(d) be the first derivative of d**6/720 + d**5/60 + d**4/16 + 64*d**3/3 - 35. Let w(u) be the third derivative of o(u). Factor w(z).
(z + 1)*(z + 3)/2
Suppose -3*s - 12 = 0, 3*b + 19 = 4*b - 4*s. Let x(l) = -13*l - 139. Let n be x(-11). Solve -o + n*o - 9*o + b*o**3 + o**2 + 2*o**2 = 0 for o.
-2, 0, 1
Factor 23*l**2 - 94*l - 16*l**5 - 17*l**2 - 24*l**4 + 93*l - l**3.
-l*(l + 1)**2*(4*l - 1)**2
Let m(b) be the third derivative of b**5/15 + 77*b**4/6 - 52*b**3 - 2*b**2 + 1086. Find v, given that m(v) = 0.
-78, 1
Let h(d) be the third derivative of -d**5/100 - 81*d**4/20 - 477*d**3/10 + 4*d**2 - 681. Let h(p) = 0. What is p?
-159, -3
Factor 2/5*h**4 - 2648/5*h**3 + 24007225442/5 + 1314732/5*h**2 - 290117528/5*h.
2*(h - 331)**4/5
Suppose 4*p = 5*f + 23, 5*p - 5*f + 4 = 29. Factor -300*k**3 + 604*k**3 - 300*k**3 + 32 - 24*k**p + 4*k**4 - 16*k.
4*(k - 2)*(k - 1)*(k + 2)**2
Let t = -8461 + 59459/7. Suppose -t*a - 6728/7 - 2/7*a**2 = 0. What is a?
-58
Let b be 2/(-27) - (-8798)/2862. Determine a, given that 18*a**b + 735*a - 792*a - 27*a**2 - 29 - 17*a**3 = 0.
-1, 29
Let z(a) be the third derivative of -a**8/112 - 13*a**7/70 - a**6 - 9*a**5/5 - 18*a**2 - 15*a. Factor z(k).
-3*k**2*(k + 2)**2*(k + 9)
Let k(a) be the second derivative of -a**5/10 - 41*a**4 - 4960*a**3 + 30752*a**2 + 64*a + 6. Solve k(h) = 0 for h.
-124, 2
Let c(f) be the first derivative of 2*f**5/25 - 14*f**4/5 + 172*f**3/5 - 836*f**2/5 + 242*f + 3358. Determine o so that c(o) = 0.
1, 5, 11
Let b(l) be the first derivative of 0*l + 0*l**2 + 17 + 4/3*l**3 + 8/5*l**5 - 3*l**4. Factor b(d).
4*d**2*(d - 1)*(2*d - 1)
Suppose -3*m - 14 + 10 = -2*z, 2 = -3*m + 4*z. Let u(y) = -y**3 - 19*y**2 + 64*y - 47. Let p(o) = 20*o**2 - 66*o + 48. Let k(c) = m*u(c) - 3*p(c). Factor k(w).
2*(w - 5)**2*(w - 1)
Suppose -43*j = -40*j - 6. Suppose -v - 7 = -l, j*l - 17 = -5*v + 4*v. Determine a, given that 5*a**3 + a**3 - 6*a**2 + 2*a**4 - 2*a**3 - 5*a - 11*a - l = 0.
-2, -1, 2
Determine d so that -21*d**2 + 6*d**2 - 260 - 3*d**2 - 118 - 183*d + 21*d**2 = 0.
-2, 63
Let v be (-11)/((-176)/40)*2. Suppose -v - 7 = -6*s. Factor 0*j + 1/4*j**3 + 0 + 3/4*j**s.
j**2*(j + 3)/4
Let n(a) be the third derivative of a**8/10080 + a**7/378 + 3*a**4/2 + 36*a**2. Let i(r) be the second derivative of n(r). Factor i(c).
2*c**2*(c + 10)/3
What is n in -13/8*n - 3/2 - 1/8*n**2 = 0?
-12, -1
Let d = 1/6 + 1/30. Let n = 3117 - 15582/5. Factor 3/5*b + 1/5*b**2 - d - n*b**3.
-(b - 1)*(b + 1)*(3*b - 1)/5
Let g(i) be the third derivative of i**5/20 + 187*i**4/2 + 747*i**3/2 - 252*i**2 + 1. Factor g(n).
3*(n + 1)*(n + 747)
Let a(v) be the first derivative of 11*v**5/210 - 13*v**4/84 + 2*v**3/21 + 117*v**2/2 - 137. Let j(z) be the second derivative of a(z). Factor j(u).
2*(u - 1)*(11*u - 2)/7
Let j(s) be the third derivative of -2*s**7/105 + 4*s**6/5 + 109*s**5/15 + 14*s**4 - 3*s**2 - s - 44. Determine l, given that j(l) = 0.
-3, -1, 0, 28
Let q(j) = -j**5 + j**4 + j + 2. Let a(f) = 2*f**5 - 10*f**3 - 4*f**2 + 23*f - 2. Let h(m) = 4*a(m) + 4*q(m). Factor h(o).
4*o*(o - 2)**2*(o + 2)*(o + 3)
Factor 738/7 - 741/7*h + 3/7*h**2.
3*(h - 246)*(h - 1)/7
Let d = 17569 - 122967/7. Suppose -2*z + 2 = 2*j - 2, -3*z = -4*j + 8. Factor 16/7*q - d + 4/7*q**j - 4/7*q**3.
-4*(q - 2)*(q - 1)*(q + 2)/7
Let s(h) be the second derivative of -32*h**6/45 - 1624*h**5/15 - 40801*h**4/9 + 13804*h**3/3 - 1734*h**2 - 549*h. Factor s(r).
-4*(r + 51)**2*(4*r - 1)**2/3
Suppose 996 = -3*z - 0*m - 5*m, 2*m = -4*z - 1342. Let w = z - -339. Factor 1/2 + y + 1/2*y**w.
(y + 1)**2/2
Factor 80*z**2 - 19*z**2 + 12232*z - 9351364 - 22*z**2 - 21*z**2 - 22*z**2.
-4*(z - 1529)**2
Let l be ((-4)/26 - (-477)/(-1378))*28. Let g be (l/(-105) - (-4)/(-30))/(-4). Factor 0 + g*u + 30*u**4 - 21*u**5 + 24/7*u**2 + 156/7*u**3.
-3*u**2*(u - 2)*(7*u + 2)**2/7
Let d be 2 - -6 - (-245)/(-49)*(-4)/(-5). Let h(t) be the second derivative of 0*t**2 - 2/3*t**3 + 0 - 12*t - 5/6*t**d - 2/5*t**5 - 1/15*t**6. Factor h(z).
-2*z*(z + 1)**2*(z + 2)
Let l(y) = -538*y - 580. Let m(w) = w**2 + 1075*w + 1179. Let i(t) = -5*l(t) - 2*m(t). Let i(o) = 0. What is o?
-1, 271
Let c = -35 + 47. Find h, given that 105*h + c - 70*h - 50*h + 3*h**2 = 0.
1, 4
Factor -9/2*b**2 - 15/4*b**3 - 3/4*b**4 + 3*b + 6.
-3*(b - 1)*(b + 2)**3/4
Let l(u) be the second derivative of 2*u**6/15 + 7*u**5/5 - 17*u**4/3 + 6*u**3 + 2*u + 242. Let l(n) = 0. What is n?
-9, 0, 1
Factor -1029/8 - 1842375/8*x**3 - 37485/8*x - 455175/8*x**2.
-3*(85*x + 7)**3/8
Suppose 32 = q - b, -b = 3*q + b - 71. Suppose 6*p**4 - 216*p**2 - 96*p - 35*p**3 - q*p**3 + 9*p**5 - 46*p**3 = 0. What is p?
-2, -2/3, 0, 4
Let w(o) be the first derivative of -12*o**2 + 0*o - 51/10*o**5 + 17/2*o**3 + 45/8*o**4 + 1/4*o**6 - 197. Determine z so that w(z) = 0.
-1, 0, 1, 16
Let l(i) = 5*i + 90. Let u be l(-17). Solve -f**3 + 194*f - u - 6*f**2 - 203*f + 1 = 0 for f.
-4, -1
Let 420/19 - 2/19*i - 2/19*i**2 = 0. Calculate i.
-15, 14
Let w(s) = -s**3 + 3*s**2 + 2*s + 12. Let r be w(5). Let z = -12 - r. Factor -31*g + g**2 + 25*g - z*g**2.
-3*g*(5*g + 2)
Let p = 3073 - 3061. Let u(j) be the first derivative of 6*j**4 + 6*j - 21/10*j**5 - 11 - p*j**2 + 3/2*j**3. Find q such that u(q) = 0.
-1, 2/7, 1, 2
Let r(m) = 21*m - 142. Let d be r(7). Suppose -x + 4*s + 2 = 1, x - 2*s = 3. Factor -x*b**4 - 6*b**5 + 5*b**5 - 7*b**3 + 5*b**d + 0*b**4 + 2*b**2.
b**2*(b - 2)*(b + 1)*(4*b - 1)
Let v(g) be the first derivative of -4*g**4 + 14 - 14/3*g**3 + g**2 + 0*g. Factor v(x).
-2*x*(x + 1)*(8*x - 1)
Let j(b) be the second derivative of 4/135*b**6 - 16 - 1/189*b**7 + 80/27*b**3 - 52/27*b**4 - 8*b + 0*b**2 + 7/30*b**5. Suppose j(l) = 0. Calculate l.
-5, 0, 1, 4
Let u = -743981 - -1487985/2. What is h in -6*h**5 + 4*h**2 + 14*h**4 - u*h**3 - 1/2*h + 0 = 0?
0, 1/3, 1/2, 1
Let o(k) = -2*k**4 - 42*k**3 - 118*k**2 + 335*k - 187. Let j(d) = d**4 + d**3 - d**2 + 1. Let g(i) = -7*j(i) - o(i). Let g(a) = 0. Calculate a.
-4, 1, 9
Let r(c) be the second derivative of c**6/30 + 7*c**5/4 + 11*c**4/4 - 35*c**3/6 - 17*c**2 + 63*c - 4. Factor r(o).
(o - 1)*(o + 1)**2*(o + 34)
Let k be (-8)/(4 + -12) - (0 + -2). Let u(w) be the third derivative of -3*w**2 + 0 - 8/3*w**k + 0*w - 1/15*w**5 + 2/3*w**4. Suppose u(t) = 0. Calculate t.
2
Let q(f) = 2*f**3 - 76*f**2 - 658*f - 1044. Let u(m) = 3*m**3 - 76*m**2 - 683*m - 1044. Let j(x) = 5*q(x) - 4*u(x). Determine n, given that j(n) = 0.
-29, -6, -3
Let i be (-1 + 13)*(-14)/28. Let q(d) = d**3 + 6*d**2 + 2. Let m be q(i). Suppose 13*r + r**4 + 30*r**m + 7*r + 8 + 7*r**3 - 12*r**2 = 0. Calculate r.
-2, -1
Let d be 6/(-91) - 7608/(-8242). Factor -3/7*i**2 - d + 9/7*i.
-3*(i - 2)*(i - 1)/7
Factor 484/3*g - 2/3*g**2 - 29282/3.
-2*(g - 121)**2/3
Let d(x) = 3*x**2 + 3*x + 7*x**2 + 2 - 4*x**2 - 5*x**2. Let v be d(0). Factor -67 - 8*i + 37 + 2*i**v + 38.
2*(i - 2)**2
Let h = -1434 + 1926. Let p = 2464/5 - h. Suppose p*a - 1/10*a**3 + 0 + 1/5*a**2 = 0. Calculate a.
-2, 0, 4
Let m be (2/(-12))/((-101)/606). Let n(k) = k**2 + k - 1. Let j(r) = 35*r**2 + 10. Let b(g) = m*j(g) - 30*n(g). Factor b(s).
5*(s - 4)*(s - 2)
Factor -3*q**3 - 2271*q + 1140*q**2 + 86 - 45 + 377 + 716.
-3*(q - 378)*(q - 1)**2
Let g(y) = y**3 - 30*y**2 - 2*y + 63. Let u be g(30). Factor -155*w**3 + 8 - 625*w**u - 27*w - 93*w + 554*w**2 + 338*w**4.
2*(w - 1)**2*(13*w - 2)**2
Let c be -4 + (-11 - -10 - (-5)/6 - 344/(-48)). Suppose -2*v + 0 = -4. What is h in -1/2*h**c - 1 + h**v + 1/2*h = 0?
-1, 1, 2
Let w = -59 - -103. Let v(l) = -11*l**2 + 10*l + 10. Let u(a) = 76*a**2 - 70*a - 72. Let y(z) = w*v(z) + 6*u(z). Find s, given that y(s) = 0.
-2/7, 1
Suppose -20*g = 12*g - 96. Solve 4*d + 28699*d**3 - 36*d**2 - d - 28591*d**g = 0 for d.
0, 1/6
Let q(w) be the second derivative of -1/4*w**4 - 42*w**2 - 2 + 36*w - 8*w**3. Find f, given that q(f) = 0.
-14, -2
Let z(g) be the first derivative of -63 + 6*g*