(261/108 + (-13)/78)*88/66. Suppose 35/2*p**2 + 15/4*p - 5/2*p**l - 25/4*p**4 - 5/4*p**5 - 45/4 = 0. Calculate p.
-3, -1, 1
Let k = 1615826/5 - 323164. Factor -24/5*j**3 + k - 6/5*j**2 + 24/5*j.
-6*(j - 1)*(j + 1)*(4*j + 1)/5
Factor 2673/8*a - 3/8*a**4 + 837/8*a**2 + 1377/4 + 75/8*a**3.
-3*(a - 34)*(a + 3)**3/8
Let a(n) be the second derivative of -n**7/273 + 31*n**6/195 - 42*n**5/65 - 2*n**4/39 + 112*n**3/39 - 1809*n - 2. Solve a(j) = 0 for j.
-1, 0, 2, 28
Suppose -123*p - 97 = -220 - 369. Determine a, given that 9/2*a**3 - a**2 - 36 - 1/2*a**p - 42*a = 0.
-2, -1, 6
Factor 1/7*g**2 + 13*g - 92/7.
(g - 1)*(g + 92)/7
Let v(n) = -27*n**4 - 39*n**3 + 78*n**2 - 102*n + 42. Let z(b) = 32*b**4 + 41*b**3 - 77*b**2 + 101*b - 41. Let m(a) = -7*v(a) - 6*z(a). Factor m(r).
-3*(r - 4)*(r - 2)**2*(r - 1)
Let w be (10 - 4578/441)/(((-30)/(-27))/(-5)). What is n in -2/7 - 2/7*n**4 + 8/7*n + 8/7*n**3 - w*n**2 = 0?
1
Let s(g) = -4*g**2 - 28*g - 135. Let j(w) = w**2 - 5*w + 5. Let n(b) = 3*j(b) + s(b). Let n(r) = 0. What is r?
-40, -3
Factor -512/11*c + 0 - 2/11*c**3 - 64/11*c**2.
-2*c*(c + 16)**2/11
Let d be (-141732)/(-13950) - (-18)/75. What is q in -d*q**2 - 36/5*q**3 + 48/5 + 32/5*q + 4/5*q**5 + 4/5*q**4 = 0?
-2, -1, 1, 3
Let k(n) be the third derivative of -n**7/630 + 23*n**6/360 - n**5/3 - n**4/18 + 40*n**3/9 - 2*n**2. Let k(g) = 0. Calculate g.
-1, 2, 20
Let b(k) = -k**2 - k - 10. Let d(w) = 8*w**2 - 96*w + 104. Let q(i) = -28*b(i) - 2*d(i). Find t such that q(t) = 0.
-18, -1/3
Determine t, given that t**5 - t**3 - 3031*t**2 + 4*t**4 + 3027*t**2 + 0*t**5 = 0.
-4, -1, 0, 1
Factor 47*d**2 - 4410*d + 8100 - 2*d**3 + 59*d**2 + 78*d**2 + 0*d**2.
-2*(d - 45)**2*(d - 2)
Let g(i) be the first derivative of -i**5/50 + i**4/15 + i**3/3 - 6*i**2/5 + 17*i - 71. Let k(v) be the first derivative of g(v). Find b, given that k(b) = 0.
-2, 1, 3
Determine k, given that -2*k**4 + 8*k**2 + 24/7*k**3 + 0 - 64/7*k - 2/7*k**5 = 0.
-8, -2, 0, 1, 2
Let q be 10/(-5) - ((-187)/(-33) + -11). Let u(h) be the first derivative of -3 + q*h**3 - h**5 - 5*h + 0*h**4 + 0*h**2. What is l in u(l) = 0?
-1, 1
Let k(h) = -2*h**2 - 7*h - 5. Let n be k(-3). Let z be (0*(-7)/(-56))/(n/1). Find g, given that z - 3/7*g**2 + 9/7*g = 0.
0, 3
Let s(a) = -4*a**2 + 5*a - 23. Let f be s(3). Let t = f - -46. Find z such that -5/6*z**5 - 5/6*z + 5/3*z**3 + 0*z**t + 0*z**4 + 0 = 0.
-1, 0, 1
Let m(s) be the first derivative of 5*s**7/42 + 17*s**6/6 - s**5/4 - 85*s**4/12 + 67*s - 36. Let x(q) be the first derivative of m(q). Let x(c) = 0. What is c?
-17, -1, 0, 1
Let t(a) be the third derivative of a**6/780 + 27*a**5/130 + 729*a**4/52 + 6561*a**3/13 - 2*a**2 + 162*a. Solve t(g) = 0 for g.
-27
Suppose 5*b + 2*l = -20, -2*b + 6*l + 6 = 4*l. Let p be ((-1873)/b)/(3 + 10/(-4)). Factor -5*r**3 + 5*r**5 - p*r**4 + 1873*r**4.
5*r**3*(r - 1)*(r + 1)
Let g = 527855 + -527853. Find w such that 5*w**g - 323/7*w + 289/7 - 1/7*w**3 = 0.
1, 17
Let 22/7*g**3 + 0 + 12/7*g**4 + 12/7*g**2 + 2/7*g**5 + 0*g = 0. What is g?
-3, -2, -1, 0
Let 421*w**2 - 93*w - 2*w**5 - 336*w**3 - 52*w**4 + 431*w - 369*w**2 = 0. Calculate w.
-13, -1, 0, 1
Let t(b) be the third derivative of 121*b**6/90 - 18601*b**5/270 + 30170*b**4/27 - 19600*b**3/27 + 3762*b**2. Factor t(f).
2*(6*f - 1)*(11*f - 140)**2/9
Suppose 4 = 2*m + 4*n, -5*m + n + 4 + 6 = 0. Suppose 4*j = -4*h - 0*j + 1280, -6 = m*j. Solve -y**2 + y + 4*y + 319 - h = 0.
1, 4
Let t(q) = 10 + 4*q - 14 - q**2 + 9. Let k(s) = 3*s**2 - 11*s - 14. Let u(m) = 4*k(m) + 11*t(m). Factor u(n).
(n - 1)*(n + 1)
Suppose 1860/13 - 2/13*c**2 - 614/13*c = 0. Calculate c.
-310, 3
Let z(r) = 4*r**2 + 3417*r + 6836. Let l(q) = 4*q**2 + 3418*q + 6832. Let n(u) = 3*l(u) - 2*z(u). Let n(t) = 0. Calculate t.
-853, -2
Determine y so that 1/2*y**5 + 61/2*y**3 - 49*y + 21/2*y**2 + 15/2*y**4 + 0 = 0.
-7, -2, 0, 1
Factor -317/2*z - 15/2*z**2 - 21.
-(z + 21)*(15*z + 2)/2
Let x(i) be the second derivative of -i**4/54 - 37*i**3/27 - 104*i**2/3 - 9536*i. Factor x(n).
-2*(n + 13)*(n + 24)/9
Suppose -7*i - 9 = -8*i - 3*s, -s + 4 = 0. Let j(o) = -o**3 - 5*o**2 + 22. Let r be j(i). Factor 0 + 8/3*q - r*q**2 + 4/3*q**3.
4*q*(q - 2)*(q - 1)/3
Factor -668/5*o**2 - 166/15*o**4 + 1352/15*o + 998/15*o**3 - 16/15.
-2*(o - 2)**3*(83*o - 1)/15
Let b(x) be the third derivative of -x**5/540 - 47*x**4/216 - 86*x**3/27 + 3524*x**2 - 2. Determine h so that b(h) = 0.
-43, -4
Let q = 571/714 + -8/51. Let z = 15/7 - q. Factor 3/4*g + 3/4 - z*g**2.
-3*(g - 1)*(2*g + 1)/4
Let y(x) be the second derivative of -x**4/42 + 52*x**3/21 - 51*x**2/7 - 420*x. Factor y(n).
-2*(n - 51)*(n - 1)/7
Let o = -4695 - -4695. Let m(x) be the second derivative of 0 + 1/4*x**5 + o*x**2 + 5/6*x**3 - 5/6*x**4 - 17*x. Solve m(h) = 0.
0, 1
Let m(y) be the second derivative of y**4/36 - 6*y**3 - 111*y**2/2 + 2974*y. Determine s so that m(s) = 0.
-3, 111
Let v(h) be the third derivative of -h**7/420 - h**6/80 + h**5/8 - 17*h**4/48 + h**3/2 + 1415*h**2. Suppose v(f) = 0. What is f?
-6, 1
Suppose -87/4*y**2 - 89/4 + 1/4*y**3 - 177/4*y = 0. What is y?
-1, 89
Suppose -547 + 2399 = -3*v - 4*d, 0 = -5*v - 4*d - 3084. Let k = v + 3082/5. Solve -k*i**2 + 0*i + 0 = 0 for i.
0
Find d such that 760384/9 + 4/9*d**2 - 3488/9*d = 0.
436
Let h be (-2 + -7)*(4 + (0 - 1)). Let a be -1*6/h + (-160)/(-90). Find c, given that -250 - a*c**2 - 32 + 36*c + 120 = 0.
9
Let m = 2/127 - -2663/254. Let w = 255249/2 - 127581. Factor 45*q**2 + 9 + m*q**3 + w*q.
3*(q + 1)*(q + 3)*(7*q + 2)/2
Let q(t) be the first derivative of t**4/14 + 354*t**3/7 + 1586*t**2/7 + 2112*t/7 + 146. Factor q(g).
2*(g + 1)*(g + 2)*(g + 528)/7
Let 0*x + 0 + 27/7*x**5 + 1020/7*x**2 - 3576/7*x**3 - 4569/7*x**4 = 0. Calculate x.
-1, 0, 2/9, 170
Factor -21908*g - 100 + 43788*g - 21909*g - g**2.
-(g + 4)*(g + 25)
Let a(f) = -f**2 + 332*f - 4450. Let r be a(14). Factor -48 + 36*z + 45/4*z**r + 3/4*z**3.
3*(z - 1)*(z + 8)**2/4
Let j(w) be the third derivative of -2/45*w**5 + 1/2*w**3 - 71*w**2 + 0*w - 1/60*w**6 + 0 - 1/630*w**7 + 1/12*w**4. Factor j(i).
-(i - 1)*(i + 1)*(i + 3)**2/3
Let u be (7/1540*-5)/((-10)/(-9556)). Let k = 219/10 + u. Let 2/11 + 10/11*w + 20/11*w**2 + k*w**5 + 20/11*w**3 + 10/11*w**4 = 0. Calculate w.
-1
Let t(y) be the first derivative of -40 - 3/32*y**4 + 5/4*y**3 + 3/4*y**2 - 3/40*y**5 - 9*y. Determine h, given that t(h) = 0.
-3, -2, 2
Factor -367*h**2 - 209*h + 184*h**2 + 180*h**2 - 79*h - 3024.
-3*(h + 12)*(h + 84)
Let v(j) = j**2 - 3*j - 18. Let c = 96 - 93. Let z(s) = -s**2 + 3*s + 18. Let m(l) = c*z(l) + 2*v(l). Let m(n) = 0. What is n?
-3, 6
Let h(i) = 2*i**3 + 124*i**2 + 121*i - 31. Let p be h(-61). Let b be (-8)/30 - (-5 + 138/p). Factor -b*l**4 - 2/15 + 0*l**3 + 4/15*l**2 + 0*l.
-2*(l - 1)**2*(l + 1)**2/15
Let v(m) be the first derivative of -m**4/8 - 25*m**3/3 - 301*m**2/4 + 6369. Let v(r) = 0. What is r?
-43, -7, 0
Factor -66*s - 2178 - 1/2*s**2.
-(s + 66)**2/2
Solve 328249*k**4 - 5*k**2 - 328090*k**4 + 6*k**5 + 5*k**2 - 81*k**3 = 0.
-27, 0, 1/2
Let j be (-574)/(-30) - (-24)/72*-57. Solve -2/5*v**4 + j*v**5 - 18/5*v + 52/15*v**2 - 4/5*v**3 + 6/5 = 0.
-3, 1, 3
Let y(d) = -16*d**3 + 36*d**2 + 208*d + 30. Let h(c) = -14*c**3 + 36*c**2 + 208*c + 25. Let q(n) = 6*h(n) - 5*y(n). What is s in q(s) = 0?
-4, 0, 13
Let a(i) = -27*i**2 - 77760*i - 55987637. Let q(n) = -3*n**2 - 8640*n - 6220846. Let t(c) = -2*a(c) + 19*q(c). Factor t(m).
-3*(m + 1440)**2
Let y(g) be the second derivative of 0*g**5 + 0*g**2 - 5/4*g**3 - 1/24*g**6 + 0 + 40*g + 35/48*g**4. Factor y(q).
-5*q*(q - 2)*(q - 1)*(q + 3)/4
Suppose -860*z = -856*z + 4, -4*z = -5*f + 19. Let q(o) be the second derivative of -1/2*o**4 - o**2 + 1/10*o**5 + 0 - 20*o + o**f. Factor q(d).
2*(d - 1)**3
Let g(h) be the first derivative of 3/2*h**2 + 1/2*h**4 + 0*h - 1/60*h**5 - 6*h**3 + 2. Let w(u) be the second derivative of g(u). Suppose w(q) = 0. What is q?
6
Determine l, given that 2299968/5 + 396/5*l**2 - 1/5*l**3 - 52272/5*l = 0.
132
Let m(x) be the first derivative of 33*x + 3/2*x**4 + 11*x**2 - 18 + 1/10*x**5 - 7*x**3. Let b(n) be the first derivative of m(n). Factor b(r).
2*(r - 1)**2*(r + 11)
Let r be ((-9)/(-54))/((-7)/420*-6). Let c(w) be the second derivative of 0 - 5/12*w**4 + 20*w**2 + w - r*w**3. Find f, given that c(f) = 0.
-4, 2
Suppos