**4/15 - 56*x**3/5 - 13*x - 63. Solve v(p) = 0 for p.
-7/3, -1, 0, 3, 4
Let 12/5*z + 28/5 - 3*z**2 + 1/5*z**3 = 0. Calculate z.
-1, 2, 14
Suppose 230081*a - 230098*a = 0. Factor -1/6*w**5 + 0*w**2 + 0 + 0*w + 1/6*w**4 + a*w**3.
-w**4*(w - 1)/6
Let n(g) = g - 15*g**2 + 2 + 13*g**2 + 5*g**2 + 6*g**2. Let u(a) = -4*a**2 - a - 1. Let m(y) = -2*n(y) - 5*u(y). What is i in m(i) = 0?
-1, -1/2
Let c(j) be the first derivative of -3*j**6/2 + 2859*j**5/5 - 113285*j**4/2 - 77434*j**3/3 + 126723*j**2/2 - 25281*j + 247. Suppose c(o) = 0. What is o?
-1, 1/3, 159
Let p(b) = -5*b**2 + 55*b + 632. Let y be p(-7). Determine v, given that 13/7*v - y + 1/7*v**2 = 0.
-14, 1
Let d(g) = -314*g - 22. Let i be d(1). Let k = -2351/7 - i. Factor -5/7*s - 10/7*s**2 - 10/7*s**3 - k - 5/7*s**4 - 1/7*s**5.
-(s + 1)**5/7
Let u(c) be the first derivative of -8*c**2 + 20/3*c**3 + 4*c - 2*c**4 - 27. Factor u(l).
-4*(l - 1)**2*(2*l - 1)
Let s be (40/1260*21)/((-2)/(-3)). Let y be ((-24)/(-9 + s) + -27)/(-2). Find a, given that 66/7*a**2 + y*a + 24/7 + 15/7*a**3 = 0.
-2, -2/5
Let g(n) = n**3 - 14*n**2 - 14*n + 4. Let d be g(15). Suppose -4*f = -d - 1. Factor 2*a**4 + 7*a + f*a**3 + 16 - a**4 - 14 + 9*a**2.
(a + 1)**3*(a + 2)
Let q(m) = 24*m**4 - 1392*m**3 - 200*m**2 + 16*m - 4. Let f(t) = t**4 - t**3 - 4*t + 1. Let z(b) = 4*f(b) + q(b). Factor z(d).
4*d**2*(d - 50)*(7*d + 1)
Let s(b) be the third derivative of 10609*b**6/300 - 21836*b**5/75 + 83*b**4 - 48*b**3/5 - 81*b**2 + 5. Solve s(n) = 0 for n.
6/103, 4
Suppose 59*r**2 + 1/3*r**3 + 3481*r + 205379/3 = 0. Calculate r.
-59
Let s(p) be the first derivative of -10/3*p**3 + 1/24*p**6 + 5/3*p**4 + 9/2*p**2 + 0*p - 16 - 5/12*p**5. Let v(t) be the second derivative of s(t). Factor v(h).
5*(h - 2)**2*(h - 1)
Let v(l) be the second derivative of 11/3*l**3 + 2/5*l**2 - 70*l - 14/15*l**4 + 0. Factor v(t).
-2*(t - 2)*(28*t + 1)/5
Factor -34*y + 40*y + 44*y + 86*y - 4*y**2 + 4*y.
-4*y*(y - 35)
Let i(n) be the third derivative of n**8/192 - 23*n**7/840 - 71*n**6/480 + 43*n**5/240 + 2*n**4/3 - 5*n**3/6 - n**2 + 356. Determine o, given that i(o) = 0.
-2, -1, 2/7, 1, 5
Factor -3368*v**2 - 3376*v**2 + 460*v + 173*v + 6741*v**2 - 630.
-3*(v - 210)*(v - 1)
Let o = -959029 + 254143241/265. Let m = o + 16/53. Factor 8/5*q**2 - m*q + 4/5*q**3 + 0.
4*q*(q - 1)*(q + 3)/5
Let y(z) be the first derivative of z**3/12 - 99*z**2/2 + 9801*z - 2906. Let y(l) = 0. What is l?
198
Let o(z) = 35*z**3 + 3*z**2 + 16*z - 9. Let s(r) = 4*r**3 + r**2 - 1. Let h(t) = -2*o(t) + 18*s(t). Factor h(c).
2*c*(c - 2)*(c + 8)
Let x = 7058 - 7058. Solve x - 8/21*f - 2/21*f**4 + 8/21*f**3 + 2/21*f**2 = 0 for f.
-1, 0, 1, 4
Let z be (((-52)/(-8))/(-13))/((-1)/14). Suppose -9*v - 5*v**3 - 13*v**2 - 29*v - 10 - z*v**2 + 13*v = 0. What is v?
-2, -1
Let a(p) be the third derivative of 0*p - 25/3*p**3 - 5*p**2 + 1/20*p**5 - 13/24*p**4 + 0. Let q(m) = -m**2 + m. Let j(i) = -a(i) + 2*q(i). Factor j(x).
-5*(x - 5)*(x + 2)
Let s be 3 + (25 - (-344)/(-14)). Let 8/7*q + 18/7*q**2 + 0*q**3 - 2/7*q**4 - s = 0. What is q?
-2, 1, 3
Let l(q) = q**3 + 7*q**2 + 11*q + 30. Let v be l(-6). Factor -8 - 13*a**2 + v*a**2 - 4*a**2 + 38*a - 13*a**2.
-2*(a - 1)*(15*a - 4)
Suppose 8*b - 94 - 146 = 0. Let r be (2/b)/((-15 + 13)/(-42)). Suppose s**4 + 7/5*s**3 - r*s - 2/5 - 3/5*s**2 = 0. What is s?
-1, -2/5, 1
Let j = -69 + 88. Suppose 3*l = 2*g - j, -3*g - 2*l - 6 = -2. Determine a so that -12*a + 281*a**4 - 272*a**4 - 23*a**3 + 36*a**g - 10*a**3 = 0.
0, 2/3, 1, 2
Let l be (-2)/17 - ((-735)/(-4165))/(6/(-4)). Let h(b) be the second derivative of 0*b**2 - 2/3*b**4 + 2/15*b**6 + l*b**3 - 1/5*b**5 + 10*b + 0. Factor h(c).
4*c**2*(c - 2)*(c + 1)
Let 4/7*v**3 - 12/7*v**2 - 520/7*v + 0 = 0. What is v?
-10, 0, 13
Let d(v) = -3*v**2 - 45*v + 3. Let w be d(-15). Factor 12*a**4 - 58*a**w + 30*a**3 - 8*a - 12*a**2 + 4*a**5 + 32*a**3.
4*a*(a - 1)*(a + 1)**2*(a + 2)
Let f = -167 - -168. Factor -20*w**2 - 17 - f - 2 - 5*w**2 - 60*w.
-5*(w + 2)*(5*w + 2)
Factor 0*p - 226*p**4 - 51525/2*p**3 + 0 - 1/2*p**5 - 50625*p**2.
-p**2*(p + 2)*(p + 225)**2/2
Let f(y) be the second derivative of 0 - 11*y + 1/12*y**4 - 5/2*y**2 - 2/3*y**3. Suppose f(u) = 0. What is u?
-1, 5
Let a(w) = -w**3 + 9*w**2 - 15*w + 20. Let t be a(7). Let h be ((-1690)/(-140))/t + 2/4. Suppose h*p + 8/7*p**2 + 2/7*p**3 + 4/7 = 0. What is p?
-2, -1
Let i(y) = 29*y + 118. Let t(a) = -29*a - 119. Let q(u) = -7*i(u) - 6*t(u). Let x be q(-4). Factor 2/11*g**x - 2/11 + 4/11*g**3 - 4/11*g + 0*g**2.
2*(g - 1)*(g + 1)**3/11
Let r(v) be the second derivative of -8/5*v**2 + v + 1/30*v**4 + 1 - 7/15*v**3. Suppose r(x) = 0. What is x?
-1, 8
Suppose p - 5*c - 11 = -9, 0 = -5*p + c + 10. Solve -64*t + 138*t + 142*t + 6050 + 4*t + p*t**2 = 0 for t.
-55
Factor -4806*k**2 - 1738 - 8047*k - 2283*k**2 - 4621*k + 4*k**3 - 4598 + 761*k**2.
4*(k - 1584)*(k + 1)**2
Solve -16/3 + 352/3*w - 164/3*w**2 - 172/3*w**3 = 0.
-2, 2/43, 1
Let s(l) be the first derivative of 5*l**3/3 + 310*l**2 + 2400*l - 2893. Factor s(m).
5*(m + 4)*(m + 120)
Let y(x) be the second derivative of x**5/190 - 89*x**4/19 - 357*x**3/19 - 536*x**2/19 - 1851*x. Factor y(h).
2*(h - 536)*(h + 1)**2/19
Let f be 2 + -8 + (-2)/10 + 1293/15. Let o = -7 - -11. Determine s, given that -f - 40*s**3 - 4*s**4 - 160*s + 2*s**o - 3*s**4 - 120*s**2 = 0.
-2
Let f(z) be the second derivative of z**6/40 + 93*z**5/80 + 7*z**4 + 27*z**3/2 - 8*z + 154. Determine x so that f(x) = 0.
-27, -2, 0
Let x(k) be the third derivative of k**5/45 + 7*k**4/18 - 520*k**3/9 - 80*k**2 + 7*k + 1. Factor x(g).
4*(g - 13)*(g + 20)/3
Suppose -149*j + 158*j - 6120 = 0. Let 0*u**2 - 9*u**3 - j*u - 3*u**2 + 0*u**2 + 4 + 688*u = 0. Calculate u.
-2/3, 1
Suppose -2*g = -3*l - 0 - 5, -2*g + 13 = 5*l. Suppose 11 = g*v + 3. Solve 0*z + 3/2 - 3/2*z**v = 0 for z.
-1, 1
Let a = 125 - 122. Factor -10*i**2 - 73*i**5 - 72*i**5 - 76*i**5 - 5*i**a + 10*i**4 + 226*i**5.
5*i**2*(i - 1)*(i + 1)*(i + 2)
Let x(j) = -12*j + 210. Let b be x(17). Solve -4*q**2 - 4*q - b*q**2 + 2*q**2 + 4*q**2 + 2*q**2 = 0 for q.
-2, 0
Let c(p) be the second derivative of p**5/60 - 25*p**4/24 + 4*p**3 + 149*p**2 - 3*p + 4. Let v(i) be the first derivative of c(i). Factor v(y).
(y - 24)*(y - 1)
Factor -585*u**2 + 0*u**4 + 246*u**3 - 7*u**4 - 7*u**4 + 780 - 36*u**3 - 20*u + 9*u**4.
-5*(u - 39)*(u - 2)**2*(u + 1)
Let x(z) be the third derivative of z**5/120 - 97*z**4/12 + 9409*z**3/3 + 1176*z**2. Find v, given that x(v) = 0.
194
Let x = -80/3631 + 62047/14524. Factor -1/4*q**4 + x*q + 7/4*q**3 - 17/4*q**2 - 3/2.
-(q - 3)*(q - 2)*(q - 1)**2/4
Let l(p) be the third derivative of 1/945*p**7 - 1/180*p**6 + 0*p - 2 + 12*p**2 - 1/27*p**4 - 1/15*p**5 + 8/9*p**3. Factor l(r).
2*(r - 6)*(r - 1)*(r + 2)**2/9
Factor -5/6*f**3 + 105 - 35/3*f**2 - 155/6*f.
-5*(f - 2)*(f + 7)*(f + 9)/6
Let n = -173991/2 - -86996. Find h, given that 1 - 3/2*h**2 + 1/2*h**4 + n*h**3 - 1/2*h = 0.
-2, -1, 1
Let z(m) be the second derivative of -39*m + 0 - 2/5*m**2 + 1/15*m**3 - 1/50*m**5 + 1/15*m**4. Find a such that z(a) = 0.
-1, 1, 2
Let i be 10/(-35) + (-79308)/(-189). Let r = i - 417. Factor -r*b**3 - 2/3 + 2/3*b**2 + 7/3*b.
-(b - 1)*(b + 1)*(7*b - 2)/3
Suppose 10*u + 23 = -2*p + 15*u, 0 = -3*p - 2*u + 32. Determine m so that 0 - 1/3*m**3 + p*m**2 - 17/3*m = 0.
0, 1, 17
Let f(p) = -p**2 - 8*p + 86. Let i be f(-14). Let z(k) be the first derivative of -2/3*k - 12 - 1/18*k**3 - 5/12*k**i. Factor z(s).
-(s + 1)*(s + 4)/6
Factor -3/5*z - 1/5*z**2 + 88/5.
-(z - 8)*(z + 11)/5
Let t(k) be the second derivative of k**6/10 - 9*k**5/20 - 18*k**4 - 88*k**3 - 4094*k. Find j, given that t(j) = 0.
-4, 0, 11
Let i(v) = 112*v + 13*v**2 - 21 - 172 - 40*v + 2*v**3 - 54*v. Let y(l) = l**3 + 2*l - 1. Let z(a) = 4*i(a) - 4*y(a). Find s, given that z(s) = 0.
-8, 3
Let u(i) = i**3 + 84*i**2 + 222*i - 187. Let b be u(-81). Let v = b - 4540/3. Determine o so that 8/3*o + 8/3 - v*o**3 - 2/3*o**2 = 0.
-2, -1, 2
Let d(j) be the second derivative of -j**6/30 - 3*j**5/10 + j**4/4 + 10*j**3/3 + 6*j**2 + 10*j + 26. Solve d(u) = 0.
-6, -1, 2
Let c(o) = o**2 - 9*o + 8. Let y(w) = w**2 - 1. Suppose 25*t = 21*t - 36. Let x be -1 + 3 - (-1 - t). Let m(h) = x*y(h) - c(h). Factor m(v).
-(v - 1)*(7*v - 2)
Let j(i) be the second derivative of i**5/40 + 8*i**4/3 - 