 Factor o(k).
-k*(k - 11)/4
Determine k so that 3 + 1/3*k**5 + 26/3*k**2 - 9*k - 2*k**3 - k**4 = 0.
-3, 1, 3
Factor -5992*q**2 + 4000*q**3 - 8044*q**2 - 1949*q**2 + 385*q**2 - 8788 + 20280*q.
4*(10*q - 13)**3
Let o = -473 - -493. Let f be o/170 - 552/(-510). Let 14/15*p**2 - 32/15 + f*p**4 - 16/5*p + 2/15*p**5 + 46/15*p**3 = 0. Calculate p.
-4, -1, 1
Let s(q) be the first derivative of 19/12*q**3 + q + 1/5*q**5 + 7/4*q**2 - 3 + 1/48*q**6 + 25/32*q**4. Suppose s(r) = 0. What is r?
-2, -1
Let i(u) = 77*u**4 + 112*u**3 - 857*u**2 + 920*u - 162. Let z(w) = -9*w**4 + w**3 - w**2 + w - 2. Let l(a) = -4*i(a) - 36*z(a). Let l(d) = 0. What is d?
1/4, 1, 9, 20
Factor -204 - 2/3*b**3 - 67*b + 409/3*b**2.
-(b - 204)*(b + 1)*(2*b - 3)/3
Let i(o) be the first derivative of o**7/525 + 2*o**6/75 + 13*o**5/150 + o**4/10 + 10*o**2 - 6. Let w(z) be the second derivative of i(z). Factor w(s).
2*s*(s + 1)**2*(s + 6)/5
Suppose h = 54 + 330. Let u = 387 - h. Factor -3/7*q**5 + 0*q**4 + 0 + 6/7*q**2 + 9/7*q**u + 0*q.
-3*q**2*(q - 2)*(q + 1)**2/7
Let f(z) = -z**2 + 14*z - 11. Let l be f(13). Factor -29*g**5 + 4*g**4 - 24*g**5 + 54*g**5 + 4*g**l + g + 6*g**3.
g*(g + 1)**4
Suppose 4*z + m + 89 = 0, 11*z - 12*z = -m + 16. Let v be 0/2*3/z. Factor 1/4*f**3 + 1/2*f**2 + 1/4*f + v.
f*(f + 1)**2/4
Factor 25949*o**4 + 9 - 1960*o**2 - 9 - 25819*o**4 + 5*o**5 + 700*o**3.
5*o**2*(o - 2)*(o + 14)**2
Let g = -7/39 - -155/429. Let r be ((-24)/(-66))/((-6)/(-9)). Factor -g*h**2 + r*h - 4/11.
-2*(h - 2)*(h - 1)/11
Let y be 2*16/128*16. Let s(c) be the second derivative of c**2 + 2/3*c**3 + 1/6*c**y + 0 + 25*c. Find g, given that s(g) = 0.
-1
Let k(c) = c**3 - 5*c**2 - 17*c + 24. Let p be k(7). Find i such that -100*i**2 + 100 - 5*i - 156*i**3 + 88*i**3 + 73*i**p = 0.
-1, 1, 20
Let p be (-8)/108 - 272326/(-54). Determine t, given that -1312 + 426*t + p + 2457 + 8935 + 3*t**2 = 0.
-71
Let j = -966 - -968. Let k(f) be the first derivative of -2/33*f**3 + 0*f - 14 + 0*f**j - 1/22*f**4. Find o, given that k(o) = 0.
-1, 0
Let h(p) be the second derivative of 0 + 26*p + 1/42*p**4 + 4/7*p**3 - 13/7*p**2. Factor h(s).
2*(s - 1)*(s + 13)/7
Let h = -138 - -141. Let p be 9/60 - (3 + (-117)/36). Determine z, given that 6/5*z**2 - 4/5*z + 0 - p*z**h = 0.
0, 1, 2
Let h(l) be the first derivative of -17*l**2 - 5*l**4 - 5*l**2 + 5*l + 7*l**2 + 15*l**3 - 89. Factor h(r).
-5*(r - 1)**2*(4*r - 1)
Let f(m) be the third derivative of -m**6/360 + 47*m**5/180 - 251*m**4/72 + 205*m**3/18 + 462*m**2. Determine x, given that f(x) = 0.
1, 5, 41
Determine q so that 23/3*q**3 - 40/3*q**2 - 4/3*q**4 + 0 + 7*q = 0.
0, 1, 7/4, 3
Let w(q) = q**5 - 80*q**4 + 2597*q**3 - 4804*q**2 - 2*q + 4. Let k(p) = 10*p**4 - p**2 - p + 2. Let v(m) = -10*k(m) + 5*w(m). Let v(f) = 0. Calculate f.
0, 2, 49
Suppose 21 + 26 = -m. Let c = m - -49. Suppose -2*h**5 + 4*h**3 - 2*h - 40*h**2 - 4 - 4*h**4 + 20*h**2 + 28*h**c = 0. What is h?
-2, -1, 1
Let u(t) be the third derivative of t**7/210 - 13*t**6/24 - 67*t**5/60 + 65*t**4/24 + 11*t**3 + 1319*t**2. Let u(z) = 0. What is z?
-1, 1, 66
Let v(r) be the first derivative of 152 - 5/2*r**2 - 11/2*r + 1/6*r**3. Factor v(z).
(z - 11)*(z + 1)/2
Let y(h) = 2*h**3 - 12*h**2 + 12*h + 12. Let v(n) = n**3 + n**2 + 2*n + 1. Let x be 4/6*21/14. Let d(u) = x*y(u) - 14*v(u). Find p such that d(p) = 0.
-1, -1/6
Factor -12 + 2438*f - 2*f**2 + 215 - 2148*f + 89.
-2*(f - 146)*(f + 1)
Let x = -290 - -510. Factor -162*o - 35*o**2 + 5*o**3 - 110*o - x + 72*o.
5*(o - 11)*(o + 2)**2
Let l(y) be the third derivative of -y**5/80 + y**4/2 - 6*y**3 + 3035*y**2. Suppose l(s) = 0. Calculate s.
4, 12
Let 2*b**3 + 40*b - 20*b**2 + 16*b - 78*b = 0. What is b?
-1, 0, 11
Let m(x) be the third derivative of x**7/3780 - x**6/108 + x**4/12 - 13*x**3/2 - 74*x**2 - 2. Let i(k) be the second derivative of m(k). Factor i(n).
2*n*(n - 10)/3
Let a(v) = 3*v + 90. Let t be a(-23). Suppose 8 = -3*y + 26. Determine h so that 10 - y*h**2 + h**2 + t*h - 26*h = 0.
-2, 1
Let b(x) be the second derivative of -x**5/20 - 5*x**4/12 - 2*x**3/3 + x + 18. Let v be b(-1). Factor v*m + 0 + 6/7*m**2 + 3/7*m**3.
3*m**2*(m + 2)/7
Let t(n) be the first derivative of n**4/18 + 70*n**3/27 - 152*n**2/9 + 104*n/3 - 6838. Factor t(b).
2*(b - 2)**2*(b + 39)/9
Let w(j) = 20*j**3 + 335*j**2 + 1575*j - 8105. Let x(i) = -9*i**3 - 168*i**2 - 789*i + 4052. Let z(n) = 2*w(n) + 5*x(n). Factor z(l).
-5*(l - 3)*(l + 10)*(l + 27)
Let x(v) = -v**3 + 70*v**2 + 81*v + 10. Let s be x(-1). Determine c so that s*c + 0 - 8/17*c**2 - 8/17*c**3 - 2/17*c**4 = 0.
-2, 0
Let d = 4 - 1. Suppose 0 = 6*v - 5487 + 4239. Factor 212*y**2 - 5*y**3 - v*y**2 + 6*y**3 + d*y.
y*(y + 1)*(y + 3)
Let c(s) be the second derivative of -s**5/20 + 43*s**4/3 + 709*s**3/6 - 440*s**2 + 7450*s. Find h such that c(h) = 0.
-5, 1, 176
Let x be (-1)/21*9219/(-1756). Solve 1/2*t**2 + x*t**3 + 0 - 3/4*t = 0.
-3, 0, 1
Let y(d) = -3*d - 26. Let k be y(0). Let s be (-20)/4*k/65. Factor -1/4*l**4 - 3*l - 13/4*l**s - 3/2*l**3 - 1.
-(l + 1)**2*(l + 2)**2/4
Determine s so that -1134/5*s**2 + 11907/5*s + 0 - 3/5*s**5 - 1296/5*s**3 + 126/5*s**4 = 0.
-3, 0, 3, 21
Let l be (604/(-16) - 1/4)/(-1). Suppose 39*r = l*r + 2. Suppose -6 + 21*f**4 - 8*f**2 + 15*f**3 + 6*f**5 - 14*f - 7*f**r - 7*f = 0. What is f?
-2, -1, -1/2, 1
Determine s, given that 2462*s**2 - 480 - 2070*s**2 - 944*s + 1034*s**3 - 36*s**4 + 0*s**4 + 34*s**3 = 0.
-2/3, 1, 30
Let u(k) = 7*k**2 + 6*k - 25. Let h(l) be the third derivative of l**5/60 - l**4/8 - l**3/6 + 253*l**2. Let p(r) = 4*h(r) - u(r). Factor p(d).
-3*(d - 1)*(d + 7)
Let z(h) be the third derivative of -h**5/140 + 2269*h**4/56 - 162*h**3 - 2*h**2 + 3879. Let z(l) = 0. What is l?
1, 2268
Suppose 519*c - 369 = 396*c. Let v be (5/2)/(2/3). Factor 3/4*p**2 - v - c*p.
3*(p - 5)*(p + 1)/4
Let s(z) be the third derivative of z**6/1260 - z**5/315 - 319*z**4/252 + 2420*z**3/63 + z**2 - 446*z. Factor s(n).
2*(n - 11)**2*(n + 20)/21
Let z(a) be the second derivative of 6 + 128*a**2 + 4*a + 1/12*a**4 + 16/3*a**3. Factor z(m).
(m + 16)**2
Let h(c) = 5*c**2 + c - 3. Let q be h(1). Factor -273*s**q - 16*s**2 + 277*s**3 - 72*s**2.
4*s**2*(s - 22)
Let p(k) = k**5 - k**3 + 1. Let z = 68 + -73. Let q(v) = -5*v**5 - v**4 + 9*v**3 + 5*v**2 - 4*v - 8. Let a(x) = z*q(x) - 20*p(x). Solve a(g) = 0 for g.
-2, -1, 1, 2
Let i(u) be the first derivative of -u**3 - 1434*u**2 - 685452*u - 1801. Suppose i(s) = 0. What is s?
-478
Factor 12 + 3*m**3 - 3*m**2 + 116*m - 128*m + 5 - 5.
3*(m - 2)*(m - 1)*(m + 2)
Let p(z) be the second derivative of -z**4/3 - 212*z**3/3 + 654*z**2 + 270*z + 2. Find k, given that p(k) = 0.
-109, 3
Let q(k) be the first derivative of 128*k**3/3 - 130*k**2 + 8*k - 1286. Factor q(x).
4*(x - 2)*(32*x - 1)
Suppose 0 = -4*p + 5*a - 2, -4*a - 8 = -8*a. Factor 41*i**2 + 400 - 20*i**2 - 10*i**p - 80*i - 7*i**2.
4*(i - 10)**2
Factor 16819*b - 33582*b + 16805*b - 2*b**2 - 220.
-2*(b - 11)*(b - 10)
Factor -12*m + 1/3*m**3 + 0 - 5/3*m**2.
m*(m - 9)*(m + 4)/3
Let y(p) be the second derivative of -p**5/2 + 67*p**4/6 + 214*p**3/3 - 96*p**2 + 11*p - 10. Factor y(q).
-2*(q - 16)*(q + 3)*(5*q - 2)
Let v be (-2)/((-5)/((-45)/(-6))). Let c be 1/v - (8/(-3) - -1). Suppose 14*r**2 + 15*r**c - 33*r**2 = 0. What is r?
0
Let i(r) = -27*r**5 - 288*r**4 + 12*r**3 + 24*r**2. Let g(u) = 11*u**5 + 115*u**4 - 5*u**3 - 10*u**2. Let v(s) = -12*g(s) - 5*i(s). Factor v(k).
3*k**4*(k + 20)
Let w = 3336/7 - 476. Let o(i) be the first derivative of -w*i - 9/7*i**2 - 8/21*i**3 + 15. Solve o(h) = 0 for h.
-2, -1/4
Let q(f) be the second derivative of f**4/54 - 40*f**3/27 - 41*f**2/9 + 95*f. Factor q(o).
2*(o - 41)*(o + 1)/9
Let s = -661 - -814. Let j be (-2)/(-16) - s/(-408). Suppose 0 + 0*q**4 + 1/2*q**5 + 0*q + 0*q**2 - j*q**3 = 0. Calculate q.
-1, 0, 1
Let j(g) be the second derivative of -1 + 0*g**2 + 3125/6*g**3 + 1/4*g**5 + 125/6*g**4 - 23*g. Determine m, given that j(m) = 0.
-25, 0
Let a be (-140)/(-15) - 1/1. Let q be 1053/(-243) - (-38)/6. Suppose -1/3*j**q + 10/3*j - a = 0. What is j?
5
Suppose 0 = -i + 5*b + 168, 624 = 4*i - 0*b - 4*b. Suppose i = -15*r + 66*r. Factor -3*k**2 - r*k - 1/9*k**4 - k**3 + 0.
-k*(k + 3)**3/9
Let c(i) = 2*i**3 - 3*i**2 - i. Let v(k) = -3*k**3 + 5526*k**2 + 11028*k + 5511. Let y(h) = 3*c(h) + v(h