ppose 93*w + 13*w = 212. Let g(h) be the first derivative of 1/3*h**3 + 0*h + 3/2*h**w + 8. Determine v so that g(v) = 0.
-3, 0
Let j(i) = -i - 3. Let b = -9 + 3. Let d be j(b). Factor 83*w**3 + 4*w**d - 216 + 540*w + 7*w**4 + 29*w**3 - 396*w**2 - 19*w**4.
-4*(w - 3)**3*(3*w - 2)
Let j be -3 - (-2 - -3) - ((-220)/(-8))/(-5). Factor -6*u**2 - j*u + 1 + 10*u**3.
(2*u - 1)**2*(5*u + 2)/2
Let u be (3 - (-28)/(-8)) + (-548)/(-8). Factor -5 + 2936*q**2 + 25*q**3 - 17*q + u*q - 3071*q**2.
(q - 5)*(5*q - 1)**2
Let n(v) be the second derivative of v**4/3 + 32*v**3 + 1024*v**2 - 1340*v. Determine b so that n(b) = 0.
-32, -16
Let o be ((-3)/(-6))/((-105)/28 + 4). Factor 5*y**3 + 100*y + y**2 - 5*y**3 + 104*y**o - 2*y**3 + 7*y**3.
5*y*(y + 1)*(y + 20)
Let q(m) = 2*m**4 + m**3 - m + 1. Let i(g) = 44*g**4 + 412*g**3 - 8340*g**2 - 54492*g + 62448. Let o(b) = -i(b) + 24*q(b). Determine w so that o(w) = 0.
-6, 1, 51
What is r in 4*r**4 + 26*r**3 - 60*r**2 + 3*r**3 + 5*r**3 - 67 + 87 + 2*r = 0?
-10, -1/2, 1
Suppose 2*a + 2*j = -6, 10*a - 5*j - 21 = 12*a. Let d(o) be the first derivative of o**2 - 1/2*o**4 - a + 0*o + 0*o**3. Factor d(z).
-2*z*(z - 1)*(z + 1)
Let g(p) = -35*p**2 + 720*p. Let o(r) = -3*r**2 - 4*r. Let f(b) = -g(b) + 11*o(b). Factor f(l).
2*l*(l - 382)
Let m(q) be the third derivative of -q**5/180 + 13*q**4/72 - 2*q**3 - 1811*q**2. Suppose m(w) = 0. Calculate w.
4, 9
Let h be (-38910)/(-702) - 57/(-513). Suppose -74/13*n**2 + h - 646/13*n - 2/13*n**3 = 0. Calculate n.
-19, 1
Suppose 0 = 3*w + f - 19, -2*w + 2*f + 16 = w. Let v be 10/(w/(-3))*(-24)/30. What is o in 3 - 260*o**3 - 3 + 272*o**3 + o**v + 36*o**2 = 0?
-6, 0
Factor -1756*p**3 + 40*p**4 - 35*p - 5*p + 16*p**2 - 38*p**4 + 1778*p**3.
2*p*(p - 1)*(p + 2)*(p + 10)
Find m, given that 3476/3*m**3 + 5223*m**2 + 0 + 54*m + 193/3*m**4 = 0.
-9, -2/193, 0
Solve 14/5*q**4 + 8/5*q**3 + 0*q + 0 + 2/5*q**5 - 24/5*q**2 = 0.
-6, -2, 0, 1
Let b = -239 + 244. Suppose 34*s**4 + 12*s**3 - 16*s - 70*s**4 + 0*s**2 + s**b + 4*s**2 + 29*s**4 = 0. Calculate s.
-1, 0, 2, 4
Suppose -4*q + 36 = l, -9*q - 80 = -5*l - 4*q. Factor -l*t + 13*t - 16*t + 1060*t**2 - 1061*t**2.
-t*(t + 23)
Let z(l) = -l**3 + 15*l**2 - 15*l + 6. Let x be z(14). Let m be (12/x)/(-2*(-1)/(-4)). Factor -4*s**3 - s**4 + 0*s**m - 2*s**4 + 8*s**2 - s**4.
-4*s**2*(s - 1)*(s + 2)
Let a(z) be the third derivative of -z**5/45 + z**4 - 64*z**3/9 + 120*z**2 - 5. Factor a(o).
-4*(o - 16)*(o - 2)/3
Suppose 3*c - 13 = -0*c - 2*d, 5*c = 2*d + 27. Find s, given that -15*s**4 + 134 - 22*s + 3*s**4 + 2*s**c + 20*s**3 - 122 = 0.
-1, 1, 2, 3
Let f(d) be the second derivative of 95*d - 1/72*d**4 - 7/4*d**3 + 16/3*d**2 + 0. Factor f(p).
-(p - 1)*(p + 64)/6
Factor -2/19*o**3 + 0 + 14/19*o**2 - 12/19*o.
-2*o*(o - 6)*(o - 1)/19
Let h(v) be the third derivative of -1/36*v**4 + 0 + 1/21*v**3 + 1/126*v**5 + 0*v - 1/1260*v**6 + 110*v**2. Factor h(g).
-2*(g - 3)*(g - 1)**2/21
Factor -25/6*p**2 - 865/3*p - 29929/6.
-(5*p + 173)**2/6
Let o(i) be the third derivative of -i**8/336 - 5*i**7/168 - i**6/18 - 161*i**3/3 + 26*i**2 + 5*i. Let c(v) be the first derivative of o(v). Factor c(h).
-5*h**2*(h + 1)*(h + 4)
Let s(y) be the first derivative of y**4 - 216*y**3 - 654*y**2 - 656*y - 5842. Factor s(g).
4*(g - 164)*(g + 1)**2
Suppose -67/2*g**2 + 137/2*g - 1/2*g**3 - 69/2 = 0. Calculate g.
-69, 1
Let j(f) be the second derivative of -f**5/80 + f**4/4 + 51*f**3/8 + 35*f**2/2 + 20*f + 13. Factor j(b).
-(b - 20)*(b + 1)*(b + 7)/4
Let d(n) be the first derivative of -n**4 - 10384*n**3/3 - 3369608*n**2 - 7446. Solve d(u) = 0 for u.
-1298, 0
Suppose 0 = -4*n + p + 7, 5*n + 3 = -p + 23. Factor 357 + 7*b**3 - 11*b**n - 4*b - 10*b**2 - 357.
-2*b*(b + 2)*(2*b + 1)
Let t be ((-18)/87)/((-6966)/67338). Let x be 4/((-2)/(-1) - 1). Factor -x*z + 6 + 2/3*z**t.
2*(z - 3)**2/3
Let b be 4/(6*4/12). Factor 3*p**2 + 21*p + 3*p**2 + 11 + 3*p**b - p**3.
-(p - 11)*(p + 1)**2
Let w(x) = x + 0*x**3 + 0*x**3 + 2 + x**3 - 2*x**3 + 57*x**2 - 58*x**2. Let f(m) = 7*m**3 + 15*m**2 - 31*m - 45. Let d(g) = -f(g) - 6*w(g). Factor d(n).
-(n - 3)*(n + 1)*(n + 11)
Let v(b) = -2*b**3 - 46*b**2 - 326*b - 798. Let d(y) = -y**2 - 2*y - 7. Let z(f) = 2*d(f) - v(f). What is h in z(h) = 0?
-8, -7
Let q = 118751/4 + -29686. Factor 23/4*p + 10*p**2 + q*p**3 - 5/2.
(p + 1)*(p + 5)*(7*p - 2)/4
Let c be (-2 - (-60)/27) + 29/(4698/450). Let m(r) be the second derivative of 0 - 8/3*r**c - 24*r - 1/3*r**4 + 10*r**2. Suppose m(k) = 0. What is k?
-5, 1
Solve 29/3*u**3 + 10*u + 1/3*u**5 + 8/3 + 43/3*u**2 + 3*u**4 = 0.
-4, -2, -1
Find j, given that -82418/3 - 812/3*j - 2/3*j**2 = 0.
-203
Let 93/2 + 141/4*z + 18*z**5 - 441/4*z**2 - 213/4*z**3 + 255/4*z**4 = 0. Calculate z.
-31/8, -1, -2/3, 1
Solve 538/7*l**3 + 8838/7*l**2 - 7072/7*l + 8/7*l**4 - 2312/7 = 0 for l.
-34, -1/4, 1
Let m be 27/4 + (-22)/33 - 6. Let p(v) be the third derivative of 0 + 0*v**4 + 46*v**2 + m*v**5 + 0*v + 0*v**3. Determine q so that p(q) = 0.
0
Let w = -44534 + 44537. Determine x so that -2/7*x**w - 722/7*x + 0 - 76/7*x**2 = 0.
-19, 0
Let i(j) = -10*j**3 + 38*j**2 + 190*j - 40. Let u be i(-3). Solve 3/2*z**u + 0 - 3/2*z - 3/2*z**4 + 3/2*z**3 = 0 for z.
-1, 0, 1
Let l be 2/(-5) - 34/(-10). Let k be (-2)/((2/l)/(-3 + 2)). Factor -12 + n**k + 12*n + 21*n**2 + 12*n - 6*n**3 - 10*n**3.
-3*(n - 2)*(n + 1)*(5*n - 2)
Factor -58*f**2 + 527*f**2 - 63 + 2459 + 20*f**3 + 4812*f + 1508*f**2 + 459*f**2.
4*(f + 1)**2*(5*f + 599)
Suppose -11*f + 10 = -5*f + 2*b, -4*f = -5*b - 13. Let a be (2/(-22))/(f/(-11)*1). Solve 0 - a*n + 1/8*n**2 = 0.
0, 4
Let d(v) be the first derivative of v**4/14 - 8*v**3/7 - 135*v**2/7 + 1700*v/7 - 3573. Solve d(z) = 0.
-10, 5, 17
Let s(o) be the second derivative of -2 - 25/54*o**4 - 19/90*o**5 - 7/135*o**6 - 4/9*o**2 - 16/27*o**3 + 14*o - 1/189*o**7. Let s(u) = 0. Calculate u.
-2, -1
Let v(m) = m**3 + 20*m**2 + 57*m + 78. Let q(t) be the first derivative of 2*t**3/3 - t**2/2 + 2*t - 191. Let d(n) = 3*q(n) - v(n). Suppose d(k) = 0. What is k?
-6, -2
Let p(f) be the first derivative of -11 + 3/11*f**4 + 3/11*f**2 + 0*f - 16/33*f**3 - 1/33*f**6 + 0*f**5. Factor p(s).
-2*s*(s - 1)**3*(s + 3)/11
Let h(q) be the first derivative of 57*q**4/2 + 316*q**3/3 + 92*q**2 + 16*q - 4238. Factor h(b).
2*(b + 2)*(3*b + 2)*(19*b + 2)
Let z(m) be the second derivative of m**7/5040 + m**6/240 - m**5/15 - 31*m**4/6 + 119*m. Let h(r) be the third derivative of z(r). Determine x so that h(x) = 0.
-8, 2
Let b(x) be the first derivative of -2*x**5/25 - 73*x**4/10 + 506*x**3/5 + 1733*x**2/5 + 1804*x/5 + 6401. Determine t, given that b(t) = 0.
-82, -1, 11
Let t(u) be the first derivative of -42 - 1/45*u**6 + 4/75*u**5 + 0*u**2 - 4/45*u**3 + 1/30*u**4 + 0*u. Find p such that t(p) = 0.
-1, 0, 1, 2
Let k(o) = 24*o + 172. Let l be k(-7). Factor 0*m**4 + 1069*m**2 - 150 + 2*m**l - 107*m**2 + 950 + 1680*m + 84*m**3.
2*(m + 1)**2*(m + 20)**2
Let d(o) be the first derivative of 2*o**2 + 2/3*o**3 + 2*o + 18. Factor d(v).
2*(v + 1)**2
Let b be -20 + -80 + 8160/80. Factor 4/3*y**3 - 56/3 + 56/3*y**b - 4/3*y.
4*(y - 1)*(y + 1)*(y + 14)/3
Let v(u) be the third derivative of -6*u**2 + 1/3*u**3 + 11/180*u**5 + 35/72*u**4 + u + 0. Factor v(f).
(f + 3)*(11*f + 2)/3
Suppose 2*t + 690 = -2*r + 4*r, -t = -5*r + 1721. Let v = -2406/7 + r. Suppose 4/7 + v*s**2 + 6/7*s = 0. What is s?
-2, -1
Let f(h) be the third derivative of h**7/525 - 67*h**6/50 + 39589*h**5/150 + 13601*h**4/5 + 164836*h**3/15 + 10*h**2 - 41. Factor f(m).
2*(m - 203)**2*(m + 2)**2/5
Suppose -2*i = -4*s - 1 - 1, 0 = -3*s + 4*i - 14. Suppose -5*n - s = -6*n. Suppose 11 - 8 + 2*t**n + 12*t + 7 = 0. Calculate t.
-5, -1
Let n(k) = 35*k - 245. Let u be n(7). Let c(w) be the second derivative of 3/10*w**3 - 28*w - 3/5*w**2 + u - 1/20*w**4. Factor c(a).
-3*(a - 2)*(a - 1)/5
Let k(b) be the third derivative of -2*b**4 + 0*b**3 + 108*b**2 + 0*b + 1/15*b**5 + 0. Factor k(n).
4*n*(n - 12)
Factor -635*c - 4115*c**3 + 8226*c**3 - 465 - 4116*c**3 - 175*c**2.
-5*(c + 1)*(c + 3)*(c + 31)
Let t(c) = c**2 + 9021*c - 10179072. Let q(f) = 2*f**2 + 9020*f - 10179072. Let l(h) = 3*q(h) - 4*t(h). Factor l(o).
2*(o - 2256)**2
Let f be (-50)/125 + 346/(-10). Let v(z) = -z + 2. Let q(m) = -m**2 + 9*m - 15. Let r(g) = f*v(g) - 5*q(g). Let r(j) = 0. C