 896*q - 6693. Let p be l(291). Suppose 3/5*n**2 + p - 39/5*n = 0. Calculate n.
0, 13
Suppose -866/3 - 1/3*s**2 - 145*s = 0. What is s?
-433, -2
Suppose -2346 = -35*t + 29*t. Solve -t*x + 5*x**2 - 403*x + 809*x - 90 = 0 for x.
-6, 3
Let c(v) be the third derivative of -v**7/350 - v**6/50 + 19*v**5/50 - 3*v**4/2 + 27*v**3/10 + 4*v**2 - 19*v + 11. Solve c(u) = 0 for u.
-9, 1, 3
Let m(q) be the third derivative of q**7/252 + 11*q**6/240 - 3*q**5/20 + q**4/9 - 2210*q**2. Factor m(h).
h*(h - 1)*(h + 8)*(5*h - 2)/6
Let d(g) be the first derivative of -25/4*g**4 - 36 + g**5 - 40*g + 10*g**3 + 10*g**2. Determine v, given that d(v) = 0.
-1, 2
Let x be (20/(-8))/(10/(-16)). Suppose 4*a + x*t - 16 = 0, 3*t - 5 - 7 = 0. Factor -4/5*s**3 + 1/5*s**4 - 2/5*s + a + s**2.
s*(s - 2)*(s - 1)**2/5
Let j be (-110)/(-30) - 42/14. Let -124/3*d - j*d**2 - 1922/3 = 0. Calculate d.
-31
Let h(m) be the first derivative of 0*m**2 - 2/5*m**5 - 1/2*m**4 + 0*m**3 + 0*m - 50. Determine g, given that h(g) = 0.
-1, 0
Let y(a) be the second derivative of -a**4/6 - 11*a**3 + 378*a**2 + 10*a + 62. Factor y(u).
-2*(u - 9)*(u + 42)
Factor -570 + 7/3*f**2 + 5983/3*f.
(f + 855)*(7*f - 2)/3
Let h be 16/(-10)*2955/(-1773). Let 1/3*g**5 + 4/3 + 7/3*g**3 - 5/3*g**4 - h*g + 1/3*g**2 = 0. What is g?
-1, 1, 2
Factor -1/5*n**2 + 9*n - 434/5.
-(n - 31)*(n - 14)/5
Suppose -3*f = 5*t - 23, 4*f + 2*t - 14 = 2*f. Let l = -781 + 784. Solve f - o + l - 2*o + 9*o + o**2 = 0.
-3
Suppose -208*h = 1591*h. Factor 0*x - 4/5*x**4 + h + 4*x**3 - 24/5*x**2.
-4*x**2*(x - 3)*(x - 2)/5
Suppose 180*g - 408 = 78*g. Let m(y) be the first derivative of 0*y - g + 1/24*y**4 + 1/6*y**3 + 0*y**2. Suppose m(k) = 0. What is k?
-3, 0
Suppose -f - 1 = 0, 0 = 4*p - 3*p - 4*f - 4786. Let u = p + -14218/3. Determine v, given that 64/3*v**2 + 64*v - 32/3*v**3 + u - 4/3*v**5 - 8*v**4 = 0.
-2, 2
Let n = 82681/14 + -41330/7. Solve -6*q + n*q**2 + 6 = 0 for q.
2
Let n(c) be the first derivative of -2*c**3/3 - 4120*c**2 - 8487200*c + 3787. Let n(t) = 0. Calculate t.
-2060
Suppose 9*b + j = 595 - 461, 44 = 3*b + j. Let 4 + 97/2*s**3 - 17*s - 101/2*s**2 + b*s**4 = 0. What is s?
-4, -2/5, 1/6, 1
Let w = 220/631 - -2981637/3155. Let q = -945 + w. Let 0*m + 1/5*m**2 + q*m**3 + 0 + 1/5*m**4 = 0. Calculate m.
-1, 0
Let y(v) be the second derivative of v**6/360 + v**5/30 + v**4/8 - 2*v**2 + v + 28. Let n(a) be the first derivative of y(a). Factor n(x).
x*(x + 3)**2/3
Let m(c) be the first derivative of 4*c**3/3 - 478*c**2 + 5592*c + 15483. Factor m(r).
4*(r - 233)*(r - 6)
Let d(t) be the first derivative of -t**2/2 + 6*t - 18. Let l be d(4). Factor -6*g - 3*g + 9*g - g**l.
-g**2
Solve -3015/4*o - 7/4*o**2 + 431/2 = 0.
-431, 2/7
Let v = 148 - 115. Suppose -30*i = v*i. Factor 6/19*q**3 + 2/19*q**5 - 2/19*q**2 + i*q - 6/19*q**4 + 0.
2*q**2*(q - 1)**3/19
Let d(q) be the second derivative of -13*q**4 - 12788*q**3/3 + 656*q**2 - 10709*q. Factor d(i).
-4*(i + 164)*(39*i - 2)
Let j(p) be the third derivative of 3*p**6/8 - 1549*p**5/4 + 3865*p**4/3 - 5150*p**3/3 - 5777*p**2. Factor j(r).
5*(r - 515)*(3*r - 2)**2
Let w(d) be the first derivative of 95*d**4/12 - 254*d**3/3 + 256*d**2 - 32*d/3 - 8058. Find z such that w(z) = 0.
2/95, 4
Let t(x) be the first derivative of 0*x - 71 + 0*x**3 - 1/3*x**2 + 1/6*x**4. Factor t(q).
2*q*(q - 1)*(q + 1)/3
Let k(a) = 5*a**2 + 341*a + 664. Let j be k(-2). Factor 54/7*s**j - 2/7*s**3 + 338/7 - 390/7*s.
-2*(s - 13)**2*(s - 1)/7
Find k such that 180*k**2 + 18*k**4 - 67*k**2 + 51*k**3 - 78*k**2 - 72*k**2 - 36 - 96*k = 0.
-3, -2/3, 3/2
What is u in 14 + 16 - 4301*u + 5*u**2 + 4336*u = 0?
-6, -1
Let g(n) be the third derivative of n**7/252 - 7*n**6/144 + n**5/8 - 3*n**4 - n**2 - 26. Let d(v) be the second derivative of g(v). Factor d(o).
5*(o - 3)*(2*o - 1)
Let g = -32856267/13 - -2525788. Let s = -1617 - g. Suppose -2/13*p**2 - s*p + 4/13 = 0. Calculate p.
-2, 1
Let f(k) = -7*k**2 + 3137*k - 3152. Let w(m) = 72*m**2 - 31368*m + 31527. Let n(y) = -21*f(y) - 2*w(y). Solve n(t) = 0 for t.
1, 1046
Let q(o) be the third derivative of -2*o**2 + 31/36*o**3 + 2/9*o**4 + 1/360*o**5 - 47*o + 0. Factor q(r).
(r + 1)*(r + 31)/6
Let 0 - 1/2*h**4 + 1/2*h**2 - 3/2*h**3 + 1/10*h**5 + 7/5*h = 0. What is h?
-2, -1, 0, 1, 7
Let n(a) = 4*a**4 + 500*a**3 + 2064*a**2 + 104*a - 2744. Let l(g) = -g**4 - 99*g**3 - 413*g**2 - 21*g + 549. Let f(z) = -24*l(z) - 5*n(z). Solve f(t) = 0.
-2, 1, 34
Let s(y) be the second derivative of -y**6/6 + 3*y**5/2 + 100*y**4 + 3625*y**3/3 + 13125*y**2/2 - 22*y - 2. Suppose s(r) = 0. Calculate r.
-5, 21
Suppose -4*f - 5 = 7, 2*k = -2*f - 2. Suppose 80*l - 75*l = 75. Factor j**k - j + 17*j - l*j.
j*(j + 1)
Let 78*t**4 + 96*t - 26*t**4 - 88*t**2 - 28*t**4 + 21*t**3 - 5*t**3 - 22*t**4 = 0. Calculate t.
-12, 0, 2
Let n(i) be the second derivative of i**6/90 - 2*i**5/5 + 65*i**4/36 - 7*i**3/3 + 6438*i. Factor n(p).
p*(p - 21)*(p - 2)*(p - 1)/3
Let y = 104 + -25. Factor -10*g**2 - 52*g + 7*g**2 + y*g.
-3*g*(g - 9)
Let i(s) = -s**2 - 11*s - 22. Let d be i(-7). Suppose 5*t + 2*a = 23, 3*t + d - 3 = 3*a. Factor 2*o**4 - 4*o**5 + 0*o**5 + 2*o**4 - 4*o**2 + 7*o**3 - 3*o**t.
-4*o**2*(o - 1)**2*(o + 1)
Let h(i) be the second derivative of 1/4*i**5 - 273*i + 30*i**2 + 15/4*i**4 + 50/3*i**3 + 0. Factor h(c).
5*(c + 1)*(c + 2)*(c + 6)
Let x(m) = 106*m**2 + 2008*m - 1979. Let k(n) = 59*n**2 + 1005*n - 989. Let w(v) = 9*k(v) - 5*x(v). Let w(c) = 0. Calculate c.
1, 994
Let z(r) be the third derivative of r**6/60 - 32*r**5/15 - 45*r**4/4 + 66*r**3 + 1428*r**2. Find k, given that z(k) = 0.
-3, 1, 66
Suppose 7*k - 139 = 78. Suppose 4*c - 35 + k = -4*a, 5*c + a - 13 = 0. Factor 0 + 1/2*t**c + t - 3/2*t**2.
t*(t - 2)*(t - 1)/2
Factor 328*v - 4*v**3 + 203*v - 416*v - 576 - 40*v**2 + 233*v.
-4*(v - 3)**2*(v + 16)
Let y be ((-10)/(-8))/((-80)/(-128)). Factor 2*v**y + 2/13*v**3 + 46/13*v + 22/13.
2*(v + 1)**2*(v + 11)/13
Let j(p) be the second derivative of -2*p**6/5 + 7*p**5 - 142*p**4/3 + 448*p**3/3 - 192*p**2 + 3345*p. Suppose j(a) = 0. What is a?
2/3, 3, 4
Let p be 4665/(-2799)*(-12)/(-10) + 32/14. Let z be 48/10*(-150)/(-140). Determine r, given that -162/7 - p*r**2 - z*r = 0.
-9
Let q = 6255/13 + -481. Let k = -656 - -8530/13. Factor -4/13*t**2 + k + q*t.
-2*(t - 1)*(2*t + 1)/13
Suppose 119 = -4*b + 5*u, -62 = 2*b - 3*u - 5. Let z be (-46)/8 + 8*(-27)/b. Let -1/4*h**2 + z*h + 1/2 = 0. What is h?
-1, 2
Suppose 0 = -2*m + 49 - 33. Factor -m*f**3 + 2*f**3 - 7*f**4 + 3*f**4 + 4*f - f**2 + 7*f**2.
-2*f*(f - 1)*(f + 2)*(2*f + 1)
Let v(b) be the third derivative of b**5/60 + b**4/6 - 5*b**3/6 + 13*b**2. Let w be v(-6). Factor -18*n - w*n**3 + 2*n**3 + 38*n.
-5*n*(n - 2)*(n + 2)
Let z(l) be the third derivative of -l**4/24 + 3*l**3/2 + 14*l**2. Let i be z(4). Factor 2*g**3 + 3*g**2 - 8*g**3 + g**i + g**2 + g**5.
2*g**2*(g - 1)**2*(g + 2)
Let r = 9871 - 9871. Let y(b) = -2*b**2 + 19*b + 18. Let j be y(10). Find g such that r + j*g + 22/3*g**2 - 2/3*g**3 = 0.
-1, 0, 12
Let g(q) be the third derivative of -q**7/1260 - 77*q**3/6 + 62*q**2 - 1. Let l(j) be the first derivative of g(j). What is o in l(o) = 0?
0
Let f(h) be the third derivative of 0*h**4 - 7/60*h**5 + 0*h + 0 + 1/240*h**6 + 0*h**3 - 63*h**2. Determine y so that f(y) = 0.
0, 14
Let h(p) be the second derivative of -p**7/168 - p**6/40 + 11*p**5/40 + 37*p**4/24 + 25*p**3/8 + 25*p**2/8 - 137*p - 1. Factor h(a).
-(a - 5)*(a + 1)**3*(a + 5)/4
Let -2/7*m**5 - 2*m**4 + 8/7*m - 6/7*m**3 - 24/7 + 38/7*m**2 = 0. What is m?
-6, -2, -1, 1
Let z(j) = j**5 + j**4 - j**2. Let c(l) = -10*l**5 - 52*l**4 - 42*l**3 + 12*l**2. Let s = -82 - -81. Let a(k) = s*c(k) - 12*z(k). Factor a(p).
-2*p**3*(p - 21)*(p + 1)
Let s = 3067 - 1737. Suppose -y**2 - 1428 + 102*y - 628 - s + 785 = 0. What is y?
51
Let f(j) = -2 - 4*j - 1 - 1 - 2*j. Let y be f(-2). Factor 5*t**4 + 10*t**4 - 12*t**2 - y*t**2 + 5*t**5.
5*t**2*(t - 1)*(t + 2)**2
Let n(s) be the third derivative of -s**5/60 - s**4/40 + 7*s**3/15 - 2*s**2 + 4*s - 1. Factor n(m).
-(m + 2)*(5*m - 7)/5
Let m = 498 + -270. Let u = 4084 + -4061. Factor -43*p**3 + u*p**3 - m*p - 8 - 128*p**2 - 76 + 12.
-4*(p + 3)**2*(5*p + 2)
Let n(y) = 27*y**2 + 2*y + 5. Let v be n(0). Let k(o) be the first derivative of -2*o**2 - 2 + 2*o**3 + 1/2*o**4 + 1/3*o**6 - 6/5*o**v +