4/16 - 675*s**3/2 - 2687*s**2. Find k, given that v(k) = 0.
2/3, 45
Let j(k) = 42*k + 42. Let g be j(-17). Let b = 674 + g. Solve 0 - 12/5*x - 2/5*x**b = 0 for x.
-6, 0
Let v be 1018/(-14761) - (-240)/116. Let -27/2*g**4 + 24*g + 42*g**3 + 3/2*g**5 - 54*g**v + 0 = 0. Calculate g.
0, 1, 2, 4
Let w(z) be the third derivative of z**6/30 - 11*z**5/5 + 24*z**4 - 224*z**3/3 + 878*z**2. Factor w(q).
4*(q - 28)*(q - 4)*(q - 1)
Let u be 13*(-8)/104*0. Let v = -271/22 + 25/2. Find a, given that 0*a + 0 - v*a**2 + u*a**3 + 2/11*a**4 = 0.
-1, 0, 1
Let d(f) be the second derivative of 1/4*f**4 - 14*f - 2 + f**3 + 3/2*f**2. Suppose d(a) = 0. What is a?
-1
Let 0 - 1/2*l**3 + 20*l - 39/2*l**2 = 0. What is l?
-40, 0, 1
Let -15*v**2 - 2*v**3 + 27*v**2 + 46*v**2 + 26*v**2 + 0*v**3 = 0. What is v?
0, 42
Let r(p) be the second derivative of -p**6/90 + 8*p**5/15 - 14*p**4/3 - 3*p**3 - 5*p + 3. Let q(d) be the second derivative of r(d). Factor q(w).
-4*(w - 14)*(w - 2)
Let p(c) be the first derivative of c**5 + 515*c**4/4 + 830*c**3 + 1970*c**2 + 1960*c + 3632. Factor p(d).
5*(d + 1)*(d + 2)**2*(d + 98)
Let q(f) be the first derivative of -3*f**5/35 - 3*f**4/14 + 16*f**3/7 + 48*f**2/7 + 585. Find v such that q(v) = 0.
-4, -2, 0, 4
Let j(r) be the first derivative of 1/4*r**3 + 39/2*r**2 - 159/4*r - 195. Factor j(l).
3*(l - 1)*(l + 53)/4
Let f(y) be the first derivative of y**5 + 5*y**4/12 - 17*y + 183. Let l(z) be the first derivative of f(z). Factor l(q).
5*q**2*(4*q + 1)
Let j(u) be the first derivative of -u**5/70 + 20*u**4/21 + 9*u**3/7 + 31*u**2 - 170. Let s(z) be the second derivative of j(z). Factor s(v).
-2*(v - 27)*(3*v + 1)/7
Let g = -11380 - -45521/4. Factor -g*j**3 + 3/4*j - 9/2 + j**2.
-(j - 3)**2*(j + 2)/4
Let n(x) = 7*x - 25. Let m be n(5). Suppose 3*u - 22 = -m. Factor 1 - u - 5 - 2*j + 2*j**2 + 8*j.
2*(j - 1)*(j + 4)
Let c be (-10)/75*24/(-2). Let p be 357/182 - (-2)/52. Solve -c - 12/5*r - 9/10*r**p = 0 for r.
-4/3
Determine r, given that 110/3*r**2 + 4 - 58/3*r + 46/3*r**4 - 8/3*r**5 - 34*r**3 = 0.
3/4, 1, 2
Suppose -14*l - 25*l = -78. What is n in 30*n**4 - 39*n**2 + 9375*n - 240*n**2 - 24*n**4 + 2158 + 15*n**5 - 750*n**3 + 1592 - 21*n**l = 0?
-5, -2/5, 5
Let y(w) = -4*w + 62. Let s be y(15). Factor 2*r**5 - 20*r + 61*r + 3*r**5 + 15 + 110*r**s + 24*r + 111*r**4 - 76*r**4 + 90*r**3.
5*(r + 1)**4*(r + 3)
Factor 4*n - 64/3 + 1/3*n**2.
(n - 4)*(n + 16)/3
Let w(a) be the third derivative of -a**8/560 + a**7/280 + a**6/24 + 3*a**5/40 + 3*a**3 - 7*a**2. Let u(j) be the first derivative of w(j). Factor u(d).
-3*d*(d - 3)*(d + 1)**2
Let j(v) be the third derivative of v**5/160 + 47*v**4/32 + 2209*v**3/16 + 4*v**2 - 29. Factor j(a).
3*(a + 47)**2/8
Let y(n) be the first derivative of -4*n**3/3 - 190*n**2 - 376*n - 620. Suppose y(m) = 0. What is m?
-94, -1
Let m(l) be the second derivative of l**5/80 + 77*l**4/12 - l**3/24 - 77*l**2/2 - 2601*l. Factor m(x).
(x - 1)*(x + 1)*(x + 308)/4
Suppose 0 = 2*s - 3*w + 11, w - 2 - 1 = s. What is n in 39*n + 3*n**2 - s*n**3 - 3*n**3 - 34*n - 4 + n**4 = 0?
-1, 1, 4
Let k = 21044 + -21042. Factor 4/13*j + 0 + 2/13*j**k - 2/13*j**3.
-2*j*(j - 2)*(j + 1)/13
Let l = -36779 - -36793. Let d(a) be the third derivative of 0*a - 1/160*a**5 - 7/16*a**4 + 0 - 49/4*a**3 + l*a**2. Factor d(o).
-3*(o + 14)**2/8
Determine k, given that 0 + 0*k - 99/5*k**4 + 1091/5*k**3 - 22/5*k**2 = 0.
0, 2/99, 11
Let z(l) be the first derivative of 24*l + 3/2*l**4 - 25 - 237/4*l**2 + 59/2*l**3. Factor z(f).
3*(f - 1)*(f + 16)*(4*f - 1)/2
Let d(b) be the first derivative of b**3/5 + 207*b**2/10 + 3402*b/5 - 8771. Factor d(w).
3*(w + 27)*(w + 42)/5
Let u(n) be the third derivative of -n**5/150 - 7*n**4/30 - 961*n**2. Let u(v) = 0. What is v?
-14, 0
Let h(s) be the first derivative of -485*s**2 + 47045*s + 5/3*s**3 + 6. Suppose h(d) = 0. Calculate d.
97
Let y(t) be the second derivative of -2*t**7/525 + t**6/150 - 104*t**2 - 19*t. Let i(n) be the first derivative of y(n). Factor i(p).
-4*p**3*(p - 1)/5
Let p = 341 + -329. Suppose 79*n - 76*n = p. Factor 1/5*c**n - 1/5*c**2 - 1/5*c**3 + 1/5*c + 0.
c*(c - 1)**2*(c + 1)/5
Factor -62 + 6*l**2 - 815*l - 108 - 126 + 19*l**2 - 34.
5*(l - 33)*(5*l + 2)
Let b be (5/15)/(0 - 1/(-24)). Suppose -d - b*d + 36 = 0. Let -5*o**5 - 11*o**3 + 80*o + 9*o**d - 80*o**2 + 11*o**4 + 11*o**3 = 0. What is o?
-2, 0, 2
Determine v, given that -455/4*v**2 - 521/4*v**3 + 57/4*v - 9/4*v**4 + 0 = 0.
-57, -1, 0, 1/9
Suppose 3*z**4 - 15*z**2 + 208*z - 8*z**4 - 136*z + 25*z**3 - 117*z = 0. What is z?
-1, 0, 3
What is n in 0 + 42*n**4 + 1/3*n**5 + 1764*n**3 + 24696*n**2 + 0*n = 0?
-42, 0
Suppose 42 = 13*f + f. Let s(p) = 2*p**2 + 2*p - 22. Let o(v) = -5*v**2 - 8*v + 64. Let c(n) = f*o(n) + 8*s(n). Factor c(b).
(b - 4)**2
Suppose -3*i - 29 = -5*m, -2*m - 6 = -5*m - 2*i. Determine c, given that -3*c**3 - 2 - c**m + 8*c**3 + 10 - 7*c**2 + c**2 - 4*c = 0.
-1, 2
Let z be 6 - (-1 + (-30)/18)*3. Let i(t) be the first derivative of z + 1/4*t**2 + 0*t - 1/8*t**4 + 1/12*t**3 - 1/20*t**5. Factor i(u).
-u*(u - 1)*(u + 1)*(u + 2)/4
Let w(k) = -63*k**4 + 397*k**3 + 157*k**2 + 11*k. Let m(j) = 33*j**4 - 198*j**3 - 78*j**2 - 6*j. Let v(b) = -11*m(b) - 6*w(b). Factor v(i).
3*i**2*(i - 14)*(5*i + 2)
Determine w, given that 772/7*w**3 + 0 + 178/7*w**4 + 998/7*w**2 + 204/7*w + 8/7*w**5 = 0.
-17, -3, -2, -1/4, 0
Let v = -3/11357 + 22729/56785. Solve -v*b**3 + 0 + 2/5*b**2 + 24/5*b = 0 for b.
-3, 0, 4
Let r(s) be the second derivative of s**7/168 + 7*s**6/72 + 5*s**5/12 + s**3/2 + 8*s**2 - 37*s. Let j(o) be the second derivative of r(o). Factor j(g).
5*g*(g + 2)*(g + 5)
Let u(z) = 49*z**4 - 34*z**3 - 6*z**2 + 11*z - 5. Let t(o) = 342*o**4 - 237*o**3 - 39*o**2 + 78*o - 36. Let c(r) = 5*t(r) - 36*u(r). What is g in c(g) = 0?
-1/2, 0, 2/9, 1
Let y = 18863 + -18837. Let u(a) be the second derivative of -5/12*a**3 + 0 + 3/2*a**2 + y*a + 1/24*a**4. Solve u(f) = 0 for f.
2, 3
Solve 262/7*w**3 + 24/7 - 103/7*w**4 - 23/7*w**2 - 118/7*w - 6*w**5 = 0.
-4, -2/3, 3/14, 1
Let u be 770/840 + (-12)/(-144)*-9. Suppose -u + 1/3*f + 7/6*f**2 + 2/3*f**3 = 0. Calculate f.
-1, 1/4
Let l = -7077 - -21010/3. Let k = l - -673/9. Find w such that -2/9*w**2 - 2/3 - 2/9*w**3 + k*w = 0.
-3, 1
Let n(i) be the third derivative of 169*i**7/420 - 39*i**6/4 - 5771*i**5/120 - 141*i**4/8 - 8*i**3/3 - 39*i**2 + 87*i. Let n(v) = 0. Calculate v.
-2, -1/13, 16
Let z be (50/35*-7)/(4/2). Let c be 2/((z + 29)/6). Factor 0 + c*u**5 + 7/2*u**4 - 8*u**2 + 0*u + 4*u**3.
u**2*(u - 1)*(u + 4)**2/2
Factor -3*r**5 + 286 - 6*r**3 - 131 - 9*r**4 - 155.
-3*r**3*(r + 1)*(r + 2)
Let h(n) = n**3 + 741*n**2 + 1461*n + 742. Let m(a) = 2*a**3 + 2*a**2 - 8*a - 1. Let j(o) = -h(o) + 3*m(o). Let j(l) = 0. Calculate l.
-1, 149
Factor 28*i**2 - 717426*i + 717426*i - 4*i**3.
-4*i**2*(i - 7)
Let r(y) be the third derivative of -y**7/504 + y**6/180 + y**5/120 - 25*y**4/24 - 18*y**2. Let o(b) be the second derivative of r(b). Let o(x) = 0. What is x?
-1/5, 1
Let o(g) be the second derivative of -5/6*g**6 + 2*g - 5/12*g**4 - 2*g**5 + 5/3*g**3 + 0*g**2 + 6. Determine z so that o(z) = 0.
-1, 0, 2/5
Let f = -753803 - -8280123/11. Let t = f - -1066. Let -2/11*s + 4/11 + 10/11*s**5 + t*s**4 - 8/11*s**3 - 20/11*s**2 = 0. What is s?
-1, 2/5, 1
Suppose 1822*x - 5*c - 37 = 1821*x, -9*x + 32 = -2*c. Factor 1/10*b**x + 1/10*b + 0.
b*(b + 1)/10
Let q = 25921 - 181442/7. Let w(j) be the first derivative of -3/14*j**4 - 31 + 9/7*j**2 + 0*j - 3/35*j**5 + q*j**3. Factor w(g).
-3*g*(g - 2)*(g + 1)*(g + 3)/7
Let i(b) be the second derivative of 3*b**5/100 + 33*b**4/20 + 108*b**3/5 - 1458*b**2/5 + 217*b. Suppose i(c) = 0. What is c?
-18, 3
Suppose 2*r - 3079 = -b - 426, -2*r + 2656 = -2*b. Let y = r - 1327. Determine z, given that -z + y + z**3 - 1/2*z**4 + 1/2*z**2 = 0.
-1, 0, 1, 2
Let m(d) be the third derivative of -1/60*d**6 + 0*d - 1/3*d**5 + 0 + 17*d**2 + 0*d**3 - 3/4*d**4. Factor m(x).
-2*x*(x + 1)*(x + 9)
Let s = -610 - -586. Let j be (-141)/s + -5 + 3/(-4). Factor 5/8*r - 1/8*r**3 - 3/8 - j*r**2.
-(r - 1)**2*(r + 3)/8
Factor 29 + 30 + 9245*d**2 + 55 - 2580*d + 66.
5*(43*d - 6)**2
Let r be 1 + 3/(-2)*-2. Let m(f) = 32*f**2 + 480*f + 1596. Let t(h) = 33*h**2 + 480*h + 1597. Let c(x) = r*t(x) - 3*m(x). Determine g so that c(g) = 0.
-