+ 17. Determine j so that f(j) = 0.
-6, -4, -1, -5/7, 0
Let p be (-1 + 2 + -3)/(-3 + 2). Suppose -p*m = -4*t + 8, -1 - 3 = 2*t - 5*m. Determine k, given that -48*k**2 + 35*k**t - 19*k + 15 + 24*k - 7*k**2 = 0.
-3/7, 1
Let d = -2/236767 + -426654124/1183835. Let t = -360 - d. Solve 2/5*b - 2/5 + t*b**2 - 2/5*b**3 = 0 for b.
-1, 1
Factor -424*i**2 + 384*i + 194*i**2 + 234*i**2.
4*i*(i + 96)
Let w(k) be the third derivative of k**8/336 + 13*k**7/210 + 2*k**6/5 + k**5/15 - 28*k**4/3 - 32*k**3 + 1487*k**2. Find r, given that w(r) = 0.
-6, -4, -1, 2
Determine u so that -16 - 9*u + 20*u**2 + 0*u**4 + 0*u**2 + 50*u**3 + 0*u**2 - 10*u**5 - 4*u**4 - 31*u = 0.
-2, -1, -2/5, 1, 2
Let k(l) = l + 1. Let s(a) be the first derivative of a**4/2 - 8*a**3/3 - 21*a**2/2 + 3*a + 67. Let w(r) = -6*k(r) + 2*s(r). Factor w(d).
4*d*(d - 6)*(d + 2)
Find q such that -210 - 3/4*q**2 - 51/2*q = 0.
-20, -14
Suppose -4629 = -1834*v + 291*v. Let l be 57/6 - 1/(-2). Determine d, given that -l*d**2 - 2 + 5*d**v + 15/2*d + 0*d**4 - 1/2*d**5 = 0.
-4, 1
Let k be (-7)/(-21)*(1/(4 - 5) + 1)/1. Determine n, given that 0*n**2 + 0*n**4 - 1/2*n**3 + 1/4*n + k + 1/4*n**5 = 0.
-1, 0, 1
Let l(n) = -n**3 + n**2 + n + 2. Let v be l(0). Let y = -86042/3 + 28681. Determine j so that -j**v + 2/3 + 1/3*j**4 + 1/3*j**3 - y*j = 0.
-2, -1, 1
Suppose 61*a = 55*a + 12. Determine q so that -18*q**2 + 17*q**2 - 8 + 2*q**2 - a*q = 0.
-2, 4
Let x(g) = g**3 - g**2 + g - 5. Let c(b) = 5*b**4 - 85*b**3 + 120*b**2 - 75*b + 175. Let l(s) = c(s) + 35*x(s). Factor l(a).
5*a*(a - 8)*(a - 1)**2
Let j(s) be the third derivative of s**7/105 + 63*s**6/10 + 188*s**5/15 - 63*s**4/2 - 377*s**3/3 - 594*s**2 + 3. Factor j(b).
2*(b - 1)*(b + 1)**2*(b + 377)
Let a(w) = -11*w**3 - 186*w**2 + 1621*w - 403. Let s(y) = 2*y**3 + 31*y**2 - 270*y + 67. Let l(f) = -2*a(f) - 13*s(f). Factor l(u).
-(u - 5)*(u + 13)*(4*u - 1)
Suppose j + 5*o + 19 = 2*j, -2*o = 6. Suppose -c = -j*c + 6. Factor 19*y**c - 14*y**2 - 4 - 6*y**2 - 4*y.
-(y + 2)**2
Factor 9 - 86*n**2 + 672*n + 13*n**2 - 103*n**2 + 2*n**3 - 9.
2*n*(n - 84)*(n - 4)
Let q(b) be the second derivative of -23/18*b**3 - 5/36*b**4 + 5/3*b**2 - 49 - 2*b. Suppose q(p) = 0. What is p?
-5, 2/5
Let f(j) be the second derivative of -j**5/30 - 24*j**2 + 20*j - 1. Let w(v) be the first derivative of f(v). Factor w(c).
-2*c**2
Determine v, given that 2/9*v**5 + 46/9*v - 16/3*v**3 - 44/9*v**2 + 0 + 44/9*v**4 = 0.
-23, -1, 0, 1
Let l(j) be the second derivative of -j**5/26 + 11*j**4/39 + 17*j**3/39 - 10*j**2/13 - 843*j. Solve l(t) = 0.
-1, 2/5, 5
Let z(f) = -4*f**3 + 2*f**2 - f + 1. Let o(d) = 25*d**3 - 430*d**2 + 9605*d - 32005. Let p(s) = o(s) + 5*z(s). Find l, given that p(l) = 0.
4, 40
Factor 267/2*z - 133/2 + 1/2*z**3 - 135/2*z**2.
(z - 133)*(z - 1)**2/2
Let l be 18 + -17 + ((-128)/(-4))/1. Suppose -3*a - 3*c = -9, 2*c - 41 = -3*a - l. Suppose 8/5*h**3 + 0 - a*h**2 + 4/5*h - 2/5*h**4 = 0. What is h?
0, 1, 2
Suppose -152 = 3*o - 161. Factor 14*w**2 - 9 + 18*w**o + 1 - 24*w**3.
-2*(w - 2)*(w - 1)*(3*w + 2)
Let k be 2626 - 2614 - 308/26. Suppose k*r**3 - 12/13*r**2 - 16/13 - 30/13*r = 0. What is r?
-1, 8
Let p(k) be the second derivative of -k**4/54 - k**3 - 110*k**2/9 + 58*k + 5. Factor p(r).
-2*(r + 5)*(r + 22)/9
Let x = 180134 + -180130. Solve 0*k + 0 + 6/13*k**2 - 2*k**3 + 34/13*k**x - 14/13*k**5 = 0.
0, 3/7, 1
Suppose -5 + i**2 + 1 + 6 + 34*i - 2 = 0. Calculate i.
-34, 0
Determine q so that 3/2*q**3 + 627 + 630*q**2 + 2511/2*q = 0.
-418, -1
Let z(k) be the third derivative of -9*k**6/160 - 7*k**5/80 + 13*k**4/32 + 11*k**3/8 - 974*k**2. Factor z(w).
-3*(w + 1)**2*(9*w - 11)/4
Let g be (13 - 12)/((-77)/(-220)). Let s = 292/63 - g. Solve 8/9 - 2/9*n**3 + 10/9*n**2 - s*n = 0.
1, 2
Factor -2*h**3 + 2*h - h**2 + 35*h**2 - 68 + 32*h**2 + 2 + 0*h**3.
-2*(h - 33)*(h - 1)*(h + 1)
Let l = -2514 + 123192/49. Let s = 227/147 + l. Factor 1/6 - s*j + 3/2*j**2.
(j - 1)*(9*j - 1)/6
Let r(q) be the first derivative of q**5 - 25*q**4/4 - 70*q**3 + 360*q**2 - 1221. Factor r(j).
5*j*(j - 8)*(j - 3)*(j + 6)
Let h be 84/105*1*50/(-4). Let x be -3 + -10*-1*(-5)/h. Factor 1/6*u**4 - 1/6*u**3 + 0 + 2/3*u - 2/3*u**x.
u*(u - 2)*(u - 1)*(u + 2)/6
Let d = -47 + 44. Let g be -15 + 16 - (-1 + d). Factor 21 - 4*c**2 + g*c**2 - 21 + 3*c**4 + 3*c**3 + c**5.
c**2*(c + 1)**3
Let x(g) = -g**2 + 820*g + 244066. Let n be x(-232). Let i = -1076/5 + 216. Factor -i*c**4 + 0 + 14/5*c**3 - 6/5*c**n + 0*c.
-2*c**2*(c - 3)*(2*c - 1)/5
Let j(z) be the first derivative of z**6/15 + 8*z**5/75 - 31*z**4/30 + 8*z**3/15 + 28*z**2/15 - 32*z/15 + 5000. Determine y so that j(y) = 0.
-4, -1, 2/3, 1, 2
Let g(q) be the first derivative of q**5 - 115*q**4/2 + 860*q**3/3 - 420*q**2 + 12238. What is v in g(v) = 0?
0, 2, 42
Suppose 4*n = 4*l - 44, 2353*l - 2352*l - 11 = -2*n. Suppose -3*t**2 + 0*t + n + 3/2*t**5 + 3*t**4 - 3/2*t**3 = 0. Calculate t.
-2, -1, 0, 1
Let v = -8260 + 8296. Let q(d) be the first derivative of -6*d**2 + 1/3*d**3 + 39 + v*d. Factor q(t).
(t - 6)**2
Let t(g) be the second derivative of -g**6/15 + 1306*g**5/5 - 852818*g**4/3 + 4100*g. Find f, given that t(f) = 0.
0, 1306
Let m(y) be the second derivative of 250*y + 0 + 1/30*y**5 - 1/9*y**3 + 5/18*y**4 - 5/3*y**2. Solve m(k) = 0 for k.
-5, -1, 1
Suppose 11*r - 12*r - 3 = -4*q + 1, 40 = 2*r. Suppose -274/7*d**3 + 136/7*d + 236/7*d**4 - 32/7 - 24/7*d**2 - q*d**5 = 0. Calculate d.
-2/3, 2/7, 1, 4
Let u(z) be the first derivative of 24/35*z**5 - 1/7*z**4 - 55 - 2/21*z**6 - 32/7*z**2 - 32/7*z**3 + 0*z. Factor u(a).
-4*a*(a - 4)**2*(a + 1)**2/7
Let r(h) be the third derivative of -h**6/90 + 3*h**5/10 - 4*h**4/3 - 5*h**3/3 + 57*h**2 + h. Let o(b) be the first derivative of r(b). Solve o(z) = 0 for z.
1, 8
Let -128018/7 - 2/7*t**2 + 1012/7*t = 0. Calculate t.
253
Let k(r) be the first derivative of r**3/3 - 203*r**2/2 - 2272. Determine a so that k(a) = 0.
0, 203
Let o = 887554 - 887550. Factor -74/13*r**2 - 40/13*r**3 - 36/13*r + 0 - 2/13*r**o.
-2*r*(r + 1)**2*(r + 18)/13
Let y(f) = 2*f**3 - 2*f**2 - f - 3. Suppose 5*s - w = 15, -2*w - 3 = 7. Let z be y(s). Factor 10*v**3 - 6*v**3 + z*v**2 + 9*v**2 - 16*v.
4*v*(v - 1)*(v + 4)
Suppose -27*z + 176 = -5*z. Let x be (-58)/12 - z/((-24)/15). Factor x*c**2 + 5/6*c + 2/3.
(c + 1)*(c + 4)/6
Factor 48 - 1/2*c**3 + 37*c + 11/2*c**2.
-(c - 16)*(c + 2)*(c + 3)/2
Factor -39/5*w**4 - 16/5*w**2 - 314/5*w**3 + 0*w + 0.
-w**2*(w + 8)*(39*w + 2)/5
Let l(k) be the second derivative of 0 + 18*k**2 + 1/60*k**6 + 1/10*k**5 + 1/6*k**4 + 31*k + 0*k**3. Let g(x) be the first derivative of l(x). Factor g(w).
2*w*(w + 1)*(w + 2)
Suppose -8*j = 865 - 881. Find v, given that 3532*v**j - 90 - 1769*v**2 - 1766*v**2 - 51*v = 0.
-15, -2
Let y(g) be the third derivative of g**5/15 - 8*g**4/3 + 26*g**3 - 46*g**2. Find r, given that y(r) = 0.
3, 13
Let h(u) = -356*u**3 - 268*u**2 - 58*u - 8. Let s(m) = 357*m**3 + 267*m**2 + 58*m + 7. Let p = 368 - 371. Let r(y) = p*h(y) - 4*s(y). Factor r(t).
-2*(5*t + 2)*(6*t + 1)**2
Let u(h) = -29*h**2 + 1700*h - 144500. Let l(t) = 25*t**2 - 1700*t + 144500. Let j(y) = 6*l(y) + 5*u(y). Determine k so that j(k) = 0.
170
Let d be (37/13 - 200/(-1300))/9. Let s(j) be the second derivative of -d*j**3 + 1/12*j**4 + 0*j**2 - 21*j + 0. Factor s(b).
b*(b - 2)
Let r(b) = 31*b**4 - 1160*b**3 + 5471*b**2 - 8527*b + 4240. Let j(a) = 23*a**4 - 870*a**3 + 4103*a**2 - 6396*a + 3180. Let o(x) = 11*j(x) - 8*r(x). Factor o(k).
5*(k - 53)*(k - 2)**2*(k - 1)
Let k(x) be the third derivative of -72*x**2 + 3/4*x**3 + 1/120*x**5 + 0 - 1/8*x**4 + 0*x. Factor k(l).
(l - 3)**2/2
Factor 0 - 12*l - 2/9*l**2.
-2*l*(l + 54)/9
Let f(a) = -a + 5*a - 1 - 2*a**2 + 0*a + 4*a**2 - 3*a**2. Let l(v) = -12*v**2 + 58*v + 34. Let w(b) = -10*f(b) + l(b). Factor w(x).
-2*(x - 11)*(x + 2)
Let x = -22768 - -22772. Let v(n) be the second derivative of 1/36*n**x + 8*n + 0 - 1/3*n**2 + 1/18*n**3. Find s, given that v(s) = 0.
-2, 1
Let a(l) be the third derivative of 1/15*l**5 + 0 - 1/2*l**4 + 53*l**2 + 0*l - 20/3*l**3. Suppose a(x) = 0. Calculate x.
-2, 5
Let n(v) = -v**3 + 2*v**2 + 5*v - 2. Let d be n(3). Let k(q) = -5*q + 144. Let r be k(25). Suppose 5*w**2 - 17 + r - 6 - w**d = 0. What is w?
-2, -1, 1, 2
Let z(u) = 20*u**2 - 540*u - 22. Let x(a) = 7*a**2 - 180*a - 8. Let 