ven that w(b) = 0.
3, 17/3
Let w(k) = -28*k + 451. Let v be w(16). Let a = -225 - -227. Factor 11/2*c**a - 1/2*c**4 - 50 + 3*c**v - 30*c.
-(c - 5)**2*(c + 2)**2/2
Let x(s) be the third derivative of -s**6/360 + 8*s**5/45 - 95*s**4/24 + 25*s**3 - 1655*s**2. Factor x(y).
-(y - 15)**2*(y - 2)/3
Let n(y) = 288*y - 4585. Let s be n(16). Let l(m) be the first derivative of 4*m**2 - 12*m + 4/15*m**5 + 32/9*m**3 + s - 2*m**4. Find p such that l(p) = 0.
-1, 1, 3
Let k(c) be the second derivative of -c**4/36 - 22*c**3/9 + 50*c**2 - 2*c + 209. What is g in k(g) = 0?
-50, 6
Let s(l) be the second derivative of -l**4/30 - 19*l**3/15 + 42*l**2/5 + 2*l + 92. Suppose s(t) = 0. What is t?
-21, 2
Let p(u) be the third derivative of u**7/525 - 29*u**6/300 - 61*u**5/150 - 31*u**4/60 - 629*u**2. What is h in p(h) = 0?
-1, 0, 31
Let p(d) be the first derivative of -d**4 - 25*d**3/3 - 4*d**2 - 10*d - 86. Let m be p(-6). Factor -15/2*i**3 + 0*i + 9/2*i**4 + 0 + 3*i**m.
3*i**2*(i - 1)*(3*i - 2)/2
Let q(l) be the second derivative of -l**6/90 + 239*l**5/12 - 26467*l**4/2 + 31760002*l**3/9 - 31522396*l**2/3 + l + 496. Factor q(i).
-(i - 398)**3*(i - 1)/3
Find c, given that 2589*c**5 + 618*c - 11299*c + 4840 - 5184*c**5 + 2594*c**5 + 2362*c**2 - 1126*c**3 + 4542*c**2 + 64*c**4 = 0.
1, 11, 40
Let a(w) be the third derivative of -w**5/330 - 227*w**4/66 + 455*w**3/33 + 657*w**2 + 2. Factor a(d).
-2*(d - 1)*(d + 455)/11
Suppose 0 = 4*l - 8*l + 56. Determine y, given that -l*y**4 + 3*y**3 + 8*y**2 - 6*y + 27*y**4 - 21*y**4 + 2*y**5 + y**3 = 0.
-1, 0, 1, 3
Suppose 166730*z + 216 + 8*z**2 + 5*z**2 - 166604*z - z**2 - 2*z**3 = 0. What is z?
-3, 12
Let s(z) = -505*z + 102. Let y be s(3). Let k be (-9)/(-45) - y/135. Factor -1/3 - 31/6*c**3 - 35/6*c - k*c**2.
-(c + 1)**2*(31*c + 2)/6
Let l(i) be the third derivative of i**7/70 + 19*i**6/40 + 77*i**5/20 + 101*i**4/8 + 21*i**3 - 9*i**2 + 109*i. Factor l(n).
3*(n + 1)**2*(n + 3)*(n + 14)
Let m(b) = -b**3 + 2*b**2 - 7*b + 1. Let v be m(5). Let s = v - -156. Suppose -4*c - 26*c**4 - 25*c**4 + s*c**4 + 3*c**3 + 4*c**2 + c**5 = 0. What is c?
-1, 0, 1, 2
Let i(j) be the second derivative of 1/35*j**6 + 0*j**3 - 1/35*j**5 + 0*j**2 + 0*j**4 + 4*j + 6. Factor i(n).
2*n**3*(3*n - 2)/7
Let m(r) be the third derivative of -r**6/30 + 367*r**5/15 - 11285*r**4/2 + 22326*r**3 + 2249*r**2. Let m(o) = 0. What is o?
1, 183
Let c(r) be the third derivative of r**6/480 + 19*r**5/240 - 2*r**4/3 + 11*r**3/6 + 9*r**2 + 49*r. Factor c(s).
(s - 2)*(s - 1)*(s + 22)/4
Factor -o**3 - 154184*o - 14*o**2 + 154184*o.
-o**2*(o + 14)
Let z(d) be the first derivative of d**4/2 - 62*d**3/9 - 62*d**2/3 + 16*d - 346. Find k such that z(k) = 0.
-2, 1/3, 12
Let c(o) be the second derivative of -o**7/84 + o**6/12 + 11*o**5/20 + 2*o**4/3 - 2335*o. Solve c(v) = 0.
-2, -1, 0, 8
Let y = 1738 - 1729. Suppose -15 = -12*z + y. Let -20/3 + 14*u - 4/3*u**z = 0. What is u?
1/2, 10
Suppose -2/3*w**2 + 752/3 - 124*w = 0. Calculate w.
-188, 2
Let y(v) be the second derivative of v**7/294 + 2*v**6/105 + v**5/35 + 4672*v. Factor y(d).
d**3*(d + 2)**2/7
Let a(r) be the first derivative of r**7/840 - r**5/80 - r**4/48 - r**2 - 10*r + 30. Let p(j) be the second derivative of a(j). Factor p(n).
n*(n - 2)*(n + 1)**2/4
Let l = -1102377/4 - -275595. Determine m, given that -l*m + 0 + 39/8*m**2 = 0.
0, 2/13
Let i(v) be the first derivative of v**4/18 + 1052*v**3/27 - 1055*v**2/9 + 352*v/3 + 29. Factor i(w).
2*(w - 1)**2*(w + 528)/9
Let z(x) be the first derivative of -4*x**3/15 - 156*x**2 - 30420*x - 212. Suppose z(n) = 0. Calculate n.
-195
Let l(k) be the third derivative of -1/30*k**6 + 8/15*k**5 - 12*k**2 + 0*k**3 - 5/2*k**4 - 9*k + 0. Factor l(u).
-4*u*(u - 5)*(u - 3)
Let k(r) be the third derivative of -r**5/300 + 47*r**4/20 - 56*r**3/3 + 3871*r**2. Determine q so that k(q) = 0.
2, 280
Suppose -13*v = -3288 - 14. Let v*l**2 + 30*l - 33 - 259*l**2 - 41 + 29 = 0. What is l?
3
Let l be (21/18)/(18 + -2*(-51)/(-6)). Solve l*b**2 + 1/6*b - 7/6 - 1/6*b**3 = 0.
-1, 1, 7
Suppose z + 2346*h = 2350*h - 6, 8 = 3*z + h. Factor 0 + 2*s**3 + 0*s + 5/2*s**z - 1/2*s**4.
-s**2*(s - 5)*(s + 1)/2
Let q(v) be the first derivative of 3*v**4/28 - 72*v**3/7 + 2592*v**2/7 - 41472*v/7 - 595. Suppose q(n) = 0. What is n?
24
Suppose 21*p - 18*p = 6. Factor -o**2 - p*o**2 - 28*o - 2*o**2 + o**2.
-4*o*(o + 7)
Let h(q) be the third derivative of 2*q**2 - 86*q + 10/39*q**3 + 7/156*q**4 + 0 + 1/390*q**5. Factor h(c).
2*(c + 2)*(c + 5)/13
Let r be (-7)/49*(-245)/273. Let m(k) be the second derivative of 6/13*k**2 + r*k**3 + 2 + k - 1/78*k**4. Factor m(t).
-2*(t - 6)*(t + 1)/13
Let p(l) = -l**2 + 7*l + 10. Let u(x) = -3*x**2 + 20*x + 29. Let h(g) = 17*p(g) - 6*u(g). Let c be h(3). Factor 2*t**2 + 6*t**c + 3*t**2 - 16*t**2.
-5*t**2
Let i be (28/(-112))/(2/(-16)). Factor -6*f**2 - 81 + 10*f**i - 5*f**2 + 0*f**2 + 18*f.
-(f - 9)**2
Let l(u) be the third derivative of 1/540*u**6 + 0*u**3 + 0*u + 9 + 4/27*u**4 + 4/135*u**5 - u**2. Let l(f) = 0. Calculate f.
-4, 0
Solve 1/5*w**2 + 301401/5 + 1098/5*w = 0.
-549
Let w be (1014/1859 - (-63)/(-55)) + 2 + 1. Let a be (-9)/(-6)*8/6. What is y in 0*y + 36/5*y**3 + 0 - 27/5*y**4 - w*y**a = 0?
0, 2/3
Let o(l) = -l**2 - 125*l + 84. Let i be o(-33). Let w be i/630 - (-6)/(-21). What is t in 8/21 + 218/21*t**2 - 24/7*t - 12*t**3 + w*t**4 = 0?
2/7, 1
Suppose -12/5*v + 1/5*v**3 - v**4 - 1/5*v**5 + 17/5*v**2 + 0 = 0. What is v?
-4, -3, 0, 1
Let b = 1071 + -1071. Suppose -7*r = -r - b*r. Find t, given that r*t + 0*t**2 - 4/5*t**3 + 0 = 0.
0
Let w(g) be the first derivative of -3/32*g**4 - 13/8*g**2 - 100 - 13/40*g**5 + 0*g + 1/48*g**6 + 41/24*g**3. Determine k, given that w(k) = 0.
-2, 0, 1, 13
Let l(v) be the first derivative of 18*v + 17/2*v**2 - 138 - 1/3*v**3. What is a in l(a) = 0?
-1, 18
Let f = -21890 + 21892. Let y(x) be the first derivative of -1/4*x**4 + 1/2*x**2 + 6*x - 39 - f*x**3. Factor y(j).
-(j - 1)*(j + 1)*(j + 6)
Suppose 505*d - 1 = 507*d - j, -d + 1 = j. Let k(u) be the first derivative of 11 - 1/20*u**5 - 1/4*u**2 + d*u + 1/8*u**4 + 1/12*u**3. Factor k(i).
-i*(i - 2)*(i - 1)*(i + 1)/4
Let o(s) be the second derivative of 4/3*s**4 + 0 + 45*s**2 - 279*s + 23/2*s**3 + 1/20*s**5. Let o(i) = 0. Calculate i.
-10, -3
Determine k so that 1/5*k**4 + 0 - 26/5*k**2 - 5*k**3 + 0*k = 0.
-1, 0, 26
Let p(y) be the first derivative of y**5/30 + y**4/6 - 5*y**3/18 - 1. Factor p(q).
q**2*(q - 1)*(q + 5)/6
Suppose 187*m + 722*m - 11079 = -282*m + 2022. Factor 12*c**2 + m + 1/2*c**3 + 45/2*c.
(c + 1)**2*(c + 22)/2
Let s(p) be the first derivative of -p**4/12 + 103*p**3/9 + p**2/6 - 103*p/3 - 3010. Factor s(q).
-(q - 103)*(q - 1)*(q + 1)/3
Let f(i) be the third derivative of -i**7/1890 - 8*i**6/135 - 91*i**5/180 + 641*i**4/108 - 472*i**3/27 + 2*i**2 - 4171. Let f(j) = 0. What is j?
-59, -8, 1, 2
Suppose 3*x + 4*y - 27 = 0, 12*x - 11*x - 5*y = 28. Let k(a) = a**2 - 29*a + 210. Let v be k(x). Factor -2/21*n**3 + 0*n + 0 + 2/21*n**v.
-2*n**2*(n - 1)/21
Let j be (-6)/27*-3 + -531. Let b = 531 + j. Find a such that 0 - b*a**3 + 4/3*a**2 - 2/3*a = 0.
0, 1
Suppose -4*w + 12 = 0, 2*i - w = -18 + 7. Let b be 0/((i - -6) + -4). Suppose -6/5*d**3 - 4/5*d**2 + 0*d + b + 0*d**4 + 2/5*d**5 = 0. What is d?
-1, 0, 2
Let f = 423 + -321. What is o in 35 + 42*o + f*o**2 - 12*o**4 - 17 - 28 + 38*o**3 = 0?
-1, 1/6, 5
Factor -5/4*m**2 + 225 + 285/4*m.
-5*(m - 60)*(m + 3)/4
Let b(o) be the second derivative of -o**4/6 - 31*o**3/3 - 58*o**2 + 44*o - 1. What is g in b(g) = 0?
-29, -2
Let d = 3 + -1. Let l(k) = -k**2 - 6*k + 94. Let n be l(7). What is m in -d*m**4 - 19*m + 8*m**2 + 3*m + 4*m**n + 0*m = 0?
-2, 0, 2
Suppose 15*o - 11*o - 15 = -g, 4*o = -2*g + 14. Factor 12*r**3 - 25*r**3 - 19*r**3 - 34*r**4 - o*r**5 - 2*r**4.
-4*r**3*(r + 1)*(r + 8)
Suppose 282*h + 334*h + 94 + h**2 - 521*h = 0. Calculate h.
-94, -1
Let w = 539 - 531. Suppose -4*a - w*o + 12 = -10*o, 0 = -3*o. Factor 2/3*v + 0 + 1/3*v**a + v**2.
v*(v + 1)*(v + 2)/3
Let 1/4*z**2 + 36 + 13/2*z = 0. Calculate z.
-18, -8
Suppose 4*q - 4 = 4. Let u be q/(-18) + (-19)/(-9). Suppose 10*r**3 + 2*r**4 - 4*r**4 - 5*r**u + r**4 - 4*r**4 = 0. Calculate r.
0, 1
Let b(r) be the first derivative of -r**6/3960 + r**5/132 - 25*r**4/264 + 25*r**3/3 - 53. Let t(j) be the