-m**3/4 - 21*m**2/2 - 147*m + 6620. Solve n(s) = 0.
-14
Let v = -20751/2 + 10379. Let n(g) be the second derivative of -1/2*g**4 - 3/20*g**5 + v*g**3 - 32*g + 0 - 6*g**2. Let n(u) = 0. Calculate u.
-4, 1
Factor 22/7*p**2 + 47/7*p - 1/7*p**3 + 24/7.
-(p - 24)*(p + 1)**2/7
Let o = 50 - 48. Suppose -4*n = 3*r - 23, -n + 7*r - 23 = o*r. Factor 3*h**n - 3*h + 5*h**3 - 3*h**4 - h**3 - h**3.
-3*h*(h - 1)**2*(h + 1)
Let p(h) be the first derivative of -h**6/14 - 18*h**5/35 - 9*h**4/7 - 10*h**3/7 - 9*h**2/14 + 1249. Factor p(q).
-3*q*(q + 1)**3*(q + 3)/7
Let g = -424 - -428. Suppose 0 = 362*q - 364*q - 4*d + 28, 5*d = -2*q + 34. Solve 0 - 2/5*p**g + 1/5*p + 2/5*p**q - 1/5*p**5 + 0*p**3 = 0.
-1, 0, 1
Let d = -53 - -75. Suppose 17*a = d*a - 15. Factor 15*r**a + r**2 + 21*r**5 - 16*r**5 + 15*r**4 + 4*r**2.
5*r**2*(r + 1)**3
Let k(f) be the second derivative of -7*f**4/3 - 508*f**3/3 - 144*f**2 + 4786*f. Determine y so that k(y) = 0.
-36, -2/7
Let v = 5 - 2. Suppose 4*w + b - 1 - v = 0, 4*w + 12 = -5*b. Factor 9*t**2 - 9*t**w + 2 - t - t**2.
-(t - 1)*(t + 2)
Let h(n) be the first derivative of -n**4/10 - 526*n**3/15 - 1547*n**2/5 - 514*n - 3951. Determine i so that h(i) = 0.
-257, -5, -1
Let r be (2/(-4))/(-4 - 22584/(-5648)). Factor -193*m**3 - 180*m**3 + 5*m**2 + r*m**3.
-5*m**2*(4*m - 1)
Let n(i) be the third derivative of -1/80*i**5 - 1/2*i**3 - 2*i**2 - 1/480*i**6 + 0 - 50*i + 1/6*i**4. Determine f, given that n(f) = 0.
-6, 1, 2
Let z(j) be the first derivative of j**5/20 + 3*j**4/8 - 5*j**3 + j**2/2 - 10*j + 52. Let k(t) be the second derivative of z(t). Let k(v) = 0. What is v?
-5, 2
Let m(j) be the second derivative of -8*j**6/45 - 112*j**5/15 - 103*j**4/3 - 454*j**3/9 - 100*j**2/3 - 720*j. Let m(q) = 0. Calculate q.
-25, -2, -1/2
Let j(x) = 3*x**5 - 2*x**4 + x**3 + 2*x**2 - 2*x + 1. Let g(y) = -2*y**5 - 1 + 70*y**2 - 23*y**2 - 46*y**2 - y**4. Let s(k) = -g(k) - j(k). Factor s(l).
-l*(l - 2)*(l - 1)**2*(l + 1)
Suppose 0 = -7*i + 3*i - 2*i. Suppose -3*g = 0, -t + 0*g + 2*g + 10 = i. Find a such that 12*a + 30*a + 32 + a**3 + t*a**2 - 10*a = 0.
-4, -2
Let i = 1/10376 - -373519/176392. Let v = -328/187 + i. Factor -2/11 - 2/11*z**2 + v*z.
-2*(z - 1)**2/11
Suppose 7*d + 19*d = 130. Factor -31*j**3 + 23*j**5 + d*j**3 + 24*j**4 + 36*j**2 - 8*j - 69*j**4 + 7*j**5 - 5*j**5.
j*(j - 2)*(j + 1)*(5*j - 2)**2
Find k such that 26*k**3 - 29*k**2 - 42*k**2 + 13*k**4 - 15*k**4 + 167*k**2 = 0.
-3, 0, 16
Let j(u) = u**5 - 10*u**4 - 2*u**3 - 2*u - 4. Let m(d) = d**3 + d + 2. Let x = -656 - -657. Let g(i) = x*j(i) + 2*m(i). Factor g(n).
n**4*(n - 10)
Let r(z) = -7*z**3 - 1874*z**2 - 3719*z - 1858. Let c(m) = m**3 + 2*m**2 - 3*m - 1. Let u(s) = 2*c(s) + r(s). Factor u(v).
-5*(v + 1)**2*(v + 372)
Let x(h) be the second derivative of h**6/6 + 29*h**5/4 + 515*h**4/6 + 760*h**3/3 - 4178*h. Solve x(q) = 0.
-19, -8, -2, 0
Let q(y) = y**2 - y - 4. Let z(h) = -7*h**2 - 2*h + 57. Let j(i) = 6*q(i) + z(i). Find o such that j(o) = 0.
-11, 3
Suppose -2*r + 3*x + 78 = 58, 0 = -4*x + 5*x + 4. Solve -1/5*o**r - 2/5*o**3 + 1/5*o**2 + 0 + 2/5*o = 0.
-2, -1, 0, 1
Suppose -393365 + 137230 + 1099 - 1354*t - 203293 - 20*t**2 + 19*t**2 = 0. What is t?
-677
Suppose 0 = 4*v + 3*w - 71 - 2, 3*v = 37*w - 691. Factor 0*n**2 - 6*n**3 - 3/2*n**5 + 0*n + 0 - 15/2*n**v.
-3*n**3*(n + 1)*(n + 4)/2
Let a = -110 - -115. Factor -22*m**2 + m**3 + 35*m**2 + a*m - 19*m.
m*(m - 1)*(m + 14)
Let j(f) = f**2 + 2*f - 8. Let o(z) = -12*z**2 - 44*z + 45. Let s(v) = -5*j(v) - o(v). Factor s(a).
(a + 5)*(7*a - 1)
Let z(y) be the first derivative of y**4/12 + 2*y**3 - 37*y**2/2 + 92*y/3 + 2976. Factor z(g).
(g - 4)*(g - 1)*(g + 23)/3
Let i be (-40)/(-21) + (-1)/(21/(-2)). Suppose 2*s = -2, 19*s - 24*s + 1 = i*a. Factor -9/2*v**2 - 9/2 - 3/4*v**a - 33/4*v.
-3*(v + 1)*(v + 2)*(v + 3)/4
Let w(i) be the second derivative of -i**5/20 - 113*i**4/3 - 25538*i**3/3 + 13143*i. Factor w(n).
-n*(n + 226)**2
Suppose 2054 = 4*j + 5*b, 4*b + 524 = -3*j + 4*j. Factor 2025*d**3 + 50*d**2 + 52*d**2 + 36 - 312*d + j*d**3 + 63*d**2.
3*(7*d + 3)*(11*d - 2)**2
Let o(i) be the second derivative of i**7/231 - 3*i**6/55 + 23*i**5/110 - 5*i**4/22 + 4800*i. Determine u so that o(u) = 0.
0, 1, 3, 5
Let a be 4 + (-4 - -2 - 1). Suppose 4*f = a + 19. Determine h, given that -23*h**5 - 4*h**f + 10*h**3 + 15*h**3 - 7*h**3 - 1 - 10*h**2 - 7*h + 27*h**4 = 0.
-1/3, 1
Let y(g) = 2*g**2 - 3*g + 5. Suppose 5*m = -3*d + 752, -2*d + 5*d = -3. Suppose 4*l - m = -147. Let c(i) = -i + 1. Let a(o) = l*y(o) - 5*c(o). Factor a(b).
2*b*(b + 1)
Let d(v) = -37*v**4 + 169*v**3 + 770*v**2 - 17647*v - 14. Let w(x) = -26*x**4 + 113*x**3 + 514*x**2 - 11765*x - 10. Let m(p) = 5*d(p) - 7*w(p). Factor m(r).
-3*r*(r - 14)**2*(r + 10)
Determine n, given that 640/9*n**4 + 1072/3*n**3 - 100/9*n**5 + 0 + 3712/9*n**2 + 1280/9*n = 0.
-2, -4/5, 0, 10
Let a(n) be the third derivative of -n**8/672 + 17*n**7/140 - 827*n**6/240 + 287*n**5/8 - 147*n**4/2 + 80*n**2 - 10*n. Let a(g) = 0. What is g?
0, 1, 8, 21
Let a be 14*((-1432)/(-895))/((147/(-5))/(-3)). Solve 0 - 48/7*q**2 - 20/7*q**3 - a*q = 0.
-2, -2/5, 0
Let h(t) be the second derivative of -4*t**2 + 3 + 4/3*t**4 + 2/3*t**3 - 3/5*t**5 + 12*t. Factor h(z).
-4*(z - 1)**2*(3*z + 2)
Let x(l) be the second derivative of l**6/360 - l**5/180 + 187*l**2/2 + 4*l - 4. Let p(y) be the first derivative of x(y). What is b in p(b) = 0?
0, 1
Let s(k) = -k**4 - k**2 + k - 1. Let i(p) = -9*p**2 - 6*p**3 - p + 20*p**3 - 9*p**3 + p**4 - 4. Let n(m) = -i(m) + 4*s(m). Let n(y) = 0. What is y?
-1, 0, 1
Factor 0 - 3/8*t**3 + 45/2*t**2 + 93/2*t.
-3*t*(t - 62)*(t + 2)/8
Let y = 3485 + -3480. Let u(d) be the third derivative of 2/15*d**4 + 7*d**2 + 19/150*d**y + 0*d + 1/15*d**3 + 1/25*d**6 + 0. Find w, given that u(w) = 0.
-1, -1/3, -1/4
Let i(d) = 2*d**2 + 46*d - 280. Let o(v) = 3*v**2 + 45*v - 282. Let b(j) = 5*i(j) - 4*o(j). Find t such that b(t) = 0.
8, 17
Suppose -6*a + a - 810 = 0. Let p be 36/a - (-29)/9. Solve 16/5 + 52/5*j**2 - 12/5*j**p - 64/5*j = 0 for j.
1/3, 2
Let g = -273629 + 1368147/5. Factor 0*v - g*v**4 + 0 + 0*v**2 + 2/5*v**5 - 4/5*v**3.
2*v**3*(v - 2)*(v + 1)/5
Let d = -317 - -321. Suppose -10395 + 10377 = -9*c. Factor 8/5*x - 2/5*x**d + 2*x**3 + 0 - 16/5*x**c.
-2*x*(x - 2)**2*(x - 1)/5
Let d(v) be the third derivative of 0 + 0*v + 5/54*v**4 + 32*v**2 - 8/9*v**3 - 1/270*v**5. Factor d(q).
-2*(q - 6)*(q - 4)/9
Let c be (1 - 19)/(-3) + -16*(-182)/(-624). What is a in 0 + 8/3*a**2 + c*a**3 - 32/3*a = 0?
-4, 0, 2
Suppose -107 = 13*f - 81. Let t be 6 - ((-5)/f)/(7/12). Determine u, given that -4/7*u**3 + 0 + 20/7*u**2 - 4/7*u**4 - t*u = 0.
-3, 0, 1
Determine y, given that 63/2 + 555/4*y - 367/4*y**2 + 5/4*y**4 + 41/4*y**3 = 0.
-14, -1/5, 3
Let b(w) be the second derivative of 7*w**5/10 + 31*w**4/6 + 103*w**3/12 + 6*w**2 - 51*w - 9. Determine k so that b(k) = 0.
-24/7, -1/2
Let u(k) be the first derivative of 3/7*k**4 - 6/7*k**3 + 35 + 24/7*k - 2/35*k**5 - 4/7*k**2. Let u(d) = 0. What is d?
-1, 2, 3
Let n(p) be the third derivative of -7*p - 10/3*p**3 + 0 - 7/2*p**4 + 3*p**2 - 34/15*p**5 - 1/84*p**8 - 13/15*p**6 - 6/35*p**7. Factor n(t).
-4*(t + 1)**4*(t + 5)
Suppose i - 1075 = 427. Let i*r + 168*r**4 + 180*r**5 + 227*r**4 + 230*r**3 - 5*r**2 - 1522*r = 0. Calculate r.
-1, -4/9, 0, 1/4
Suppose 9*g - 56 = g. Find c, given that 11*c**5 + 37*c + g*c**5 - 915 + 102*c**4 - 172*c**3 - 20*c**2 + 21*c + 929 = 0.
-7, -1/3, 1
Suppose -2*a + 3*y + 457 = 2*a, 2*a - y = 229. Solve 105*v**2 - 11*v**5 + 10*v**4 + 16*v**5 - a*v**2 - 5*v**3 = 0 for v.
-2, -1, 0, 1
Factor 14*g**2 - 76/5*g + 22/5*g**3 - 16/5.
2*(g - 1)*(g + 4)*(11*g + 2)/5
Let u(s) = -s**4 - s**3 + s**2 - 3*s + 1. Let o(b) = 12*b**4 - 8*b**3 + 50*b**2 - 58*b + 38. Let j(m) = -o(m) - 10*u(m). Find c, given that j(c) = 0.
2, 3
Factor 484*h + 439*h - 3720 + 3*h**2 - 5*h.
3*(h - 4)*(h + 310)
Suppose 2*h = 16*h - 9*h. Factor -48*s + h*s**4 + 9*s**3 + 8*s**2 - 4*s**4 + 18 + 3*s**3 + 14.
-4*(s - 2)**2*(s - 1)*(s + 2)
Suppose 7*s - 23 = -19 + 31. Let i(k) be the first derivative of -1/18*k**3 + 1/6*k + 0*k**2 - s. Factor i(c).
-(c - 1)*(c + 1)/6
Let a be 7*(60/35)/4. Suppose 5*t**3 - 4*t**a - 8*t**2 - 4*t**3 - 7*t**2 - 21*t - 9 = 0. Calculate t.
-3, -1
Suppose -39*t - 24*t = -41*t. Let p(x) be the f