 59 - 43*y**c + 78 - 2*y**2 + 5*y**3 - 12 + 75*y = 0.
-1, 5
Suppose z = -h - 13, 3*h + 11 = -2*z - 32. Factor -8/3 + 7/3*x**3 - 1/3*x**z - 6*x**2 + 20/3*x.
-(x - 2)**3*(x - 1)/3
Let k = 115363/9 + -12818. Let b(m) be the second derivative of 1/135*m**6 - 1/18*m**5 + 7*m + 7/54*m**4 - k*m**3 + 0*m**2 + 0. Factor b(g).
2*g*(g - 3)*(g - 1)**2/9
Let g(m) be the second derivative of 0*m**2 + 128*m + 0 - 9/16*m**4 - 7/6*m**3 + 1/80*m**5. Factor g(v).
v*(v - 28)*(v + 1)/4
Suppose 20*u = 21*u + 2*y + 3, 0 = -2*u - y + 3. Suppose 12*x = 13*x - u. What is k in -1/4 + 2*k - 10*k**x - 25/4*k**4 - 3/2*k**2 = 0?
-1, 1/5
Let p(h) be the first derivative of -256*h**3/3 - 3104*h**2 - 37636*h - 4684. Factor p(l).
-4*(8*l + 97)**2
Let x(h) be the first derivative of h**5/12 - 5*h**4/6 - 27*h**2/2 + 38. Let n(g) be the second derivative of x(g). Factor n(w).
5*w*(w - 4)
Let g(s) be the third derivative of s**8/336 + s**7/42 + s**6/40 - s**5/12 - s**4/6 + 96*s**2 + 3. Suppose g(n) = 0. What is n?
-4, -1, 0, 1
Suppose -2887*m + 34 = x - 2891*m, m + 4 = -2*x. Determine u, given that -8/5 - 2/5*u + 1/5*u**x = 0.
-2, 4
Let q = -178137 + 1603265/9. Find n such that 0 + 2/9*n**2 - q*n = 0.
0, 16
Let h be ((-153)/(-30))/((-1092)/(-130)). Let w = -41/252 + h. Solve -2/3*k**2 + w*k + 2/9 = 0 for k.
-1/3, 1
Factor 0*n**2 - 4/5*n**4 - 24/5*n**3 + 0*n + 0 + 4/5*n**5.
4*n**3*(n - 3)*(n + 2)/5
Suppose 4305*w + 2 = 1280*w + 2. Factor 0 + 2/3*i**4 + 14/3*i**3 + w*i + 4*i**2.
2*i**2*(i + 1)*(i + 6)/3
Let g(r) be the second derivative of r**6/135 - 17*r**5/30 + 49*r**4/27 + 7714*r. Suppose g(z) = 0. Calculate z.
0, 2, 49
Let d(n) be the second derivative of n**5/15 - 103*n**4/9 - 120*n**3 - 1161*n - 1. Find q such that d(q) = 0.
-5, 0, 108
Let f(l) be the third derivative of 4*l - 3*l**2 + 0*l**3 - 1/15*l**5 - 5/2*l**4 + 0. Solve f(s) = 0 for s.
-15, 0
Let d(r) be the second derivative of -r**4/60 - 14*r**3/3 + 141*r**2/10 + 6261*r. Determine q, given that d(q) = 0.
-141, 1
Factor -3/4*n**2 - 525/4 - 24*n.
-3*(n + 7)*(n + 25)/4
Let s(w) be the third derivative of w**7/70 - 23*w**6/40 + 167*w**5/20 - 445*w**4/8 + 150*w**3 + 6*w**2 + 25*w. Find y, given that s(y) = 0.
1, 5, 12
Factor 3/4*s**3 - 87/2*s + 54 - 45/4*s**2.
3*(s - 18)*(s - 1)*(s + 4)/4
Let v = 54299 + -54299. Factor 1/3*i + v - 1/9*i**4 + 1/9*i**2 - 1/3*i**3.
-i*(i - 1)*(i + 1)*(i + 3)/9
Let x(a) be the third derivative of -5*a**4/24 + 5*a**3/2 + 6*a**2. Let s be x(3). Factor -240*w**4 + 0*w + s*w + 239*w**4 - w**3.
-w**3*(w + 1)
Let c(s) be the second derivative of -244*s - 1/80*s**5 - 5/48*s**4 + 0 - 3/8*s**2 - 7/24*s**3. Factor c(h).
-(h + 1)**2*(h + 3)/4
Let d(k) be the first derivative of k**3/3 - 8*k**2 - 260*k + 8483. Factor d(u).
(u - 26)*(u + 10)
Let l(h) be the third derivative of 9/20*h**5 + 0 + 0*h + 11/8*h**4 + h**3 + 193*h**2. Factor l(t).
3*(t + 1)*(9*t + 2)
Let p(n) = -4*n**5 + n**4 + 30*n**3 + 51*n**2 + 3*n + 3. Let t(d) = d**5 + d**3 + 4*d**2 - d - 1. Let y(b) = -p(b) - 3*t(b). Solve y(f) = 0 for f.
-3, 0, 7
Let f = 1306/327 + -72/109. What is m in f*m**4 + 2/3*m**5 - 2/3*m**3 - 10/3*m**2 + 0*m + 0 = 0?
-5, -1, 0, 1
Let j = -10645 - -10649. Let r(z) be the second derivative of 0 - 8/9*z**3 + 4/3*z**j + 2/9*z**2 - 23*z. Determine l, given that r(l) = 0.
1/6
Let r(u) be the third derivative of 0*u**4 + 0*u + 0 + 10*u**2 - 1/320*u**6 + 0*u**3 + 1/240*u**5 + 1/1680*u**7. Let r(f) = 0. What is f?
0, 1, 2
Let u(d) be the first derivative of -6*d - 21*d**3 - 3*d**5 - 51/4*d**4 - 33/2*d**2 - 195. Determine q, given that u(q) = 0.
-1, -2/5
Let t(y) = -18 + 5*y**2 - 2*y**2 - 6*y - 13*y - 22. Let n(r) = 4*r**2 - 20*r - 41. Let h(g) = 4*n(g) - 6*t(g). What is j in h(j) = 0?
-2, 19
Find f such that -157/3*f**3 + 1/3*f**4 - 148720/3*f + 2756*f**2 + 140608/3 = 0.
1, 52
Let r = 55 - 53. Factor 15*v + 7*v + 2*v**3 - 5 - 13*v**r - 6*v.
(v - 5)*(v - 1)*(2*v - 1)
Let t be 92/(-24)*78/24*2. Let h = t + 77/3. Let 3/4 - 3*i - 3*i**3 + h*i**4 + 9/2*i**2 = 0. Calculate i.
1
Let z(y) be the third derivative of y**5/100 + 9*y**4/40 + 6595*y**2. Factor z(l).
3*l*(l + 9)/5
Let s(r) = 20*r**3 + 30*r**2 - 65*r - 75. Let w(o) = 29*o**3 + 45*o**2 - 97*o - 113. Let m(l) = -7*s(l) + 5*w(l). Let m(x) = 0. Calculate x.
-4, -1, 2
Let a = 12 + -4. Let y(w) = -209*w + 2. Let r be y(0). Factor -a*l - 3*l**2 + 5*l + 4*l**r.
l*(l - 3)
Let t = 10058 - 10055. Let g(o) be the first derivative of 11 + 4/9*o**2 + 0*o - 1/9*o**4 - 4/27*o**t. Factor g(n).
-4*n*(n - 1)*(n + 2)/9
Let d = 3304 - 3300. Let y(r) be the second derivative of 0*r**3 + 1/70*r**5 - 24*r + 0*r**2 + 1/21*r**d + 0. What is i in y(i) = 0?
-2, 0
Let x = -559/14 - -9517/42. Let f = x - 185. Factor -5/3*j**2 - 5/6*j**4 + 5/6*j - 1/6 + 1/6*j**5 + f*j**3.
(j - 1)**5/6
Suppose -1/4*n**3 - 4*n**2 + 151/4*n - 115/2 = 0. Calculate n.
-23, 2, 5
Let i be (-97)/((-873)/144) + -11*1. Let v(s) be the third derivative of 1/12*s**i + 0 + 24*s**2 + 0*s - 25/24*s**4 + 0*s**3. Factor v(h).
5*h*(h - 5)
Let i = -3713 - -2381. Let l be ((-28)/(-3))/((-1221)/i). Find g, given that 2/11*g**4 + 2352/11*g**2 + l*g**3 + 21952/11*g + 76832/11 = 0.
-14
Factor 873747697 - 4*x**3 + 581496*x + 584687630 + 8964*x**2 - 5140091*x + 208895565 - 2137513*x.
-4*(x - 747)**3
Let p(m) be the second derivative of -2*m + 15/2*m**3 + 4*m**5 - 88 - 5/2*m**2 - 10*m**4. Suppose p(w) = 0. Calculate w.
1/4, 1
Solve -1964 - 6037*l**2 - 2*l**3 + 10265*l - 3171 - 3*l**3 + 912*l**2 = 0.
-1027, 1
Let z = 308806/3 - 102934. Factor 248/3*k + z*k**2 + 3844/3.
4*(k + 31)**2/3
Let v(w) be the second derivative of w**6/15 - 11*w**5/2 - w**4/6 + 55*w**3/3 - 36*w + 46. Determine o, given that v(o) = 0.
-1, 0, 1, 55
Let l be (-38)/(-10) + 5/25. Suppose 15 = -4*g + 9*g + 5*a, -4*a = -l*g - 12. Factor -36*y - 21*y**2 - 12 + g - y**2 - 5*y**2.
-3*(3*y + 2)**2
Let d(i) = -4*i**3 - 2*i**2 + 7*i + 7. Let y be -1 - (6 + (-4 - -3)). Let g(j) = j**3 - 2*j - 2. Let m(r) = y*d(r) - 21*g(r). Suppose m(h) = 0. What is h?
-4, 0
Let v(a) be the second derivative of a**4/4 - 136*a**3 + 60*a - 22. Determine n, given that v(n) = 0.
0, 272
Let s(c) = -3*c**2 - 1. Let n(x) = -13*x**2 + 13*x - 16. Let l be 228/380 + -2 + (-26)/10. Let z(i) = l*s(i) + n(i). Factor z(o).
-(o - 12)*(o - 1)
Let o be (-17 - -14) + (1083/108 - (-22)/99). Factor 65/4*s + 61/4*s**2 - o*s**3 + 3/4*s**4 - 25.
(s - 5)**2*(s - 1)*(3*s + 4)/4
Let s(v) = -19*v**2 + 53*v + 464. Let r(a) = -43*a**2 + 107*a + 927. Let o(m) = 4*r(m) - 9*s(m). Let o(d) = 0. Calculate d.
-36, -13
Let y = 1/224481 + 448951/2469291. Let c = 8 + -6. Factor -4/11*k + y*k**c + 0.
2*k*(k - 2)/11
Let u(x) be the second derivative of 0 + 19*x - 20/3*x**3 + 50*x**2 + 1/3*x**4. Find n, given that u(n) = 0.
5
Determine g so that -16224/7 + 2178/7*g**2 + 56160/7*g + 3*g**3 = 0.
-52, 2/7
Let z(r) = r**3 + r**2 - 32*r + 12. Suppose -3*q = 4*n - 5*n - 20, 0 = -q + 4*n + 25. Let l be z(q). Factor -20/3*x**l - 32/3*x - 4/3*x**3 - 16/3.
-4*(x + 1)*(x + 2)**2/3
Let l(r) = 19*r**3 + 91*r**2 - 1115*r + 4617. Let u(j) = -3*j**3 - j**2 - j + 1. Let c(w) = 2*l(w) + 14*u(w). Suppose c(y) = 0. Calculate y.
8, 17
Let a(i) be the third derivative of 0 - 4*i + 5/6*i**4 - 3*i**3 - 1/30*i**5 - i**2. Let a(z) = 0. What is z?
1, 9
Let v be 27443/30 + (-30 - (-4743)/170) + 2. Factor 14*b**2 + 1/3*b**3 + 196*b + v.
(b + 14)**3/3
Let j = -252 - -255. What is p in -p**2 + 2 + 24*p**3 - p - 2 + j*p**2 - 25*p**3 = 0?
0, 1
Let j be (13521/(-30))/(630/(-4)). Let n = -1/225 + j. Factor -20/7*k + 4/7*k**2 - 4/7 + n*k**3.
4*(k - 1)*(k + 1)*(5*k + 1)/7
Find p, given that 4/9*p**4 + 0*p + 74/9*p**2 + 0 - 50/3*p**3 = 0.
0, 1/2, 37
Let g = -279539 - -279541. Find y such that -8/3*y**g + 0 + 4/3*y**3 - 32/3*y = 0.
-2, 0, 4
Suppose 0 = -5*n + 90 - 30. Suppose 0 = j - 5*j + n. What is z in 2*z**4 + 4*z**5 - 3*z**5 - 3*z**5 - 4*z**2 - 2*z + 2 + 4*z**j = 0?
-1, 1
Let d(a) be the first derivative of a**4/34 - 878*a**3/51 + 2847*a**2 - 95922*a/17 - 154. Factor d(n).
2*(n - 219)**2*(n - 1)/17
Let g be (9 - 11 - 11)*1/(-1). Let k(r) = r**3 + r**2 + 34. Let i be k(0). Factor -120*d - g + 21*d**2 - i + 11.
3*(d - 6)*(7*d + 2)
Let y(s) be the third derivative of 13*s**7/2520 - 11*s**6/720 - s**5/60 - 7*s**4/12 + s**3/2 + 85*s**2. Let v(o) be the second derivative of y(o). 