Let f be (26/(-4) - 1)*(-56)/21. Let g = -17 + f. Find z such that 8*z**3 - z**g - 10*z**3 + 3*z**2 + 6*z = 0.
-1, 0, 2
Let x(i) be the third derivative of 1/12*i**4 + 1/30*i**6 - 33*i**2 - i - 7/20*i**5 + 0 + 5/2*i**3. Factor x(j).
(j - 5)*(j - 1)*(4*j + 3)
What is i in 16*i**2 + 11*i**3 + 94972*i**4 - 94971*i**4 - 3*i**3 = 0?
-4, 0
Suppose 5*k - 5932 - 8892 = 4*n, -3*k + n = -8893. Let j be (-1)/13 - (-1216)/k. Factor 1/3 - 4/3*y + 2*y**2 - 4/3*y**3 + j*y**4.
(y - 1)**4/3
Let x(k) be the first derivative of k**6/1080 - k**5/24 + 7*k**4/36 + 13*k**3/3 - 31. Let n(s) be the third derivative of x(s). Let n(a) = 0. What is a?
1, 14
Let f(r) = -r**2 + 11*r + 81. Let z be f(15). Let i be (-5)/10*(-54)/z. Let -30/7*k**3 + i*k**4 + 37/7*k**2 + 4/7 - 20/7*k = 0. Calculate k.
2/3, 1
Let q(c) be the third derivative of c**5/40 + 171*c**4/2 + 116964*c**3 - 2090*c**2. Let q(m) = 0. What is m?
-684
Suppose -480 - 30821*y**4 - 1970*y**2 - 1020*y**3 - 1615*y + 30631*y**4 - 34*y**5 + 29*y**5 = 0. What is y?
-32, -3, -1
Factor 114*g**2 - 40*g**2 - 444*g + 356 + 12*g**2 + 55*g**2 - 56 + 3*g**3.
3*(g - 2)*(g - 1)*(g + 50)
Let s(k) = 32*k**2 - 329*k - 11. Let j(p) = 16*p**2 - 172*p - 5. Let u(m) = 5*j(m) - 3*s(m). Let u(w) = 0. Calculate w.
-1/16, 8
Let x(i) be the first derivative of i**6/1260 + i**5/140 - 50*i**3/3 + 48. Let c(f) be the third derivative of x(f). Factor c(y).
2*y*(y + 3)/7
Suppose 47*t = 4*t + 172. Suppose -112*s**4 - 111*s**t + 16*s**2 - 2*s - 11*s**3 + 5*s + s + 214*s**4 = 0. Calculate s.
-2, -2/9, 0, 1
Let p(u) = -2*u - 114. Let d be p(-18). Let m be -5 + d/30*-2. Solve 3/5*v**4 - 1/5*v**3 - 3/5*v**2 + 0 + 2/5*v - m*v**5 = 0.
-1, 0, 1, 2
Factor -1/5*q**2 - 329/5 + 54/5*q.
-(q - 47)*(q - 7)/5
Let a(h) = -2*h**2 + 5*h - 6. Let i be a(5). Let y = 36 + i. Find w, given that 6*w**3 - 3*w**2 + 2*w**y + 7*w**2 + 0*w**4 + 6*w**4 - 2*w**2 = 0.
-1, 0
Let m(i) = -6*i**2 - 60*i - 3. Let h be m(-9). Suppose h = -661*b + 678*b. Find f such that -5/6*f**2 + 1/6*f**b + 1/2*f + 3/2 = 0.
-1, 3
Determine c so that -1458/17 + 180/17*c - 2/17*c**2 = 0.
9, 81
Suppose -733*b = -746*b. Suppose b = 3129*k - 3133*k. Determine w so that 2/7*w**2 + 0 + k*w - 4/7*w**3 = 0.
0, 1/2
Let -51*x + 3/2*x**2 + 420 = 0. What is x?
14, 20
Solve 0 + 0*i + 1/2*i**3 - 3/2*i**2 = 0 for i.
0, 3
Let k be 2/11 + 6909/539. Suppose -29*h = -k*h - 14*h. Factor -3/7 + h*m + 3/7*m**2.
3*(m - 1)*(m + 1)/7
Factor 2*n**2 - 546 + 245 + 421 + 64*n.
2*(n + 2)*(n + 30)
Let y(s) be the second derivative of -s**6/210 - 207*s**5/140 - 205*s**4/28 - 613*s**3/42 - 102*s**2/7 - 2*s + 4. Solve y(r) = 0.
-204, -1
Suppose -7*d + 14 + 0 = 0. Suppose -3*y + d*y = -3. Solve y*m - 14*m + 234 - 226 - 5*m + 6*m**2 = 0 for m.
2/3, 2
Let l(v) = v**4 + 34*v**3 + 70*v**2 + 54*v - 3. Let c(o) = o**4 + 70*o**3 + 142*o**2 + 110*o - 7. Let g(z) = 3*c(z) - 7*l(z). Suppose g(b) = 0. What is b?
-3, -2, 0
Let x(t) be the third derivative of t**8/2016 - 11*t**7/420 + 26*t**6/45 - 304*t**5/45 + 128*t**4/3 - 1024*t**3/9 + t**2 - 53*t. Let x(s) = 0. Calculate s.
1, 8
Suppose 4*f - 8 = -3*t - 6, 4*t + 12 = 2*f. Suppose 24*p**2 - 44*p**2 - f*p + 15*p**2 - 5*p - 2 = 0. Calculate p.
-1, -2/5
Let d = -260 - -484. Let p be (-32)/4 + d/24. Factor 0 + 2/3*a**3 - p*a**2 - 2*a.
2*a*(a - 3)*(a + 1)/3
Determine p so that 12*p**3 - 2/7*p**5 - 412/7*p**2 + 390/7 - 82/7*p + 22/7*p**4 = 0.
-5, -1, 1, 3, 13
Let f = -666893/7 + 95271. Solve 0*l + f*l**4 - 20/7*l**3 + 0 - 24/7*l**2 = 0.
-1, 0, 6
Let r(z) be the third derivative of z**8/1344 - z**7/105 - z**6/240 + 3*z**5/10 - 21*z**4/32 - 550*z**2. Let r(c) = 0. Calculate c.
-3, 0, 1, 3, 7
Let f = -522 - 445. Let v = -965 - f. Solve -12/5*j**3 + 8/5*j**v + 0 - 2/5*j + 8/5*j**4 - 2/5*j**5 = 0.
0, 1
Factor 54/5*y - 3/5*y**2 - 231/5.
-3*(y - 11)*(y - 7)/5
Let q(b) = -7*b**3 + 493*b**2 - 6*b - 6. Let n(m) = -m**3 - 27*m**2 - m - 1. Let w(u) = 6*n(u) - q(u). Factor w(f).
f**2*(f - 655)
Let d(v) = -2*v**2 - 16076*v - 32304890. Let f(x) = -14*x**2 - 112532*x - 226134174. Let w(c) = 20*d(c) - 3*f(c). What is t in w(t) = 0?
-4019
Suppose -33*t + 977 = 878. Let m(k) be the third derivative of 5/24*k**4 + 25*k**2 + 0*k + 0*k**t + 0 - 1/15*k**5. Suppose m(j) = 0. What is j?
0, 5/4
What is s in -94*s**3 - 581071360 + 10*s**3 - 7320*s**2 - 3572160*s + 79*s**3 = 0?
-488
What is n in -3/2*n**5 - 3*n**3 - 3/2 + 9/2*n - 3*n**2 + 9/2*n**4 = 0?
-1, 1
Suppose 150*u - 2 = 149*u. Let g be (-1*64/(-24))/u. Factor -g*j**3 + 0 + 0*j - 8/3*j**2.
-4*j**2*(j + 2)/3
Determine c, given that -1615 - 5/2*c**2 - 3235/2*c = 0.
-646, -1
Let j(u) be the first derivative of 5*u**4/28 + 106*u**3/21 - 89*u**2/14 - 22*u/7 + 3000. Factor j(n).
(n - 1)*(n + 22)*(5*n + 1)/7
Suppose 1707*k - 1704*k = -4*d + 38, 2*d + 8 = 3*k. Factor d*j + 0*j**2 - 5/2 - 5*j**3 + 5/2*j**4.
5*(j - 1)**3*(j + 1)/2
Let j(i) be the second derivative of -i**5/70 - 191*i**4/42 + 64*i**3/7 - 2*i - 5198. Factor j(f).
-2*f*(f - 1)*(f + 192)/7
Let d(k) be the third derivative of 1/105*k**5 - 1/84*k**6 + 0*k**3 + 54*k**2 + 2 - 1/1176*k**8 + 0*k + 0*k**4 + 4/735*k**7. Solve d(j) = 0 for j.
0, 1, 2
Let a be 1*(10*(-14)/35)/(0 - 1). Let u(f) be the third derivative of 1/20*f**5 - 43*f**2 + 0*f + 0 - 1/2*f**3 - 3/40*f**6 + 3/8*f**a. Factor u(b).
-3*(b - 1)*(b + 1)*(3*b - 1)
Suppose 0 + 2*v - 2/9*v**2 = 0. Calculate v.
0, 9
Suppose 526*t - 156 = 500*t. Find c, given that t*c**2 + 0 - 2/3*c**5 - 10/3*c**4 + 0*c - 2*c**3 = 0.
-3, 0, 1
Let o(f) = 9*f - 75. Let k be o(12). Factor 2*v**5 + k*v**2 + 59*v**3 - 10*v**3 - v**3 - v**2 + 18*v**4.
2*v**2*(v + 1)*(v + 4)**2
Let d(u) = u**3 + 14*u**2 - 99*u - 243. Let t be d(-2). Factor -3/4*v**t + 0 + 0*v**2 + 3*v.
-3*v*(v - 2)*(v + 2)/4
Let a(x) = -x**3 - 16*x**2 - 20*x - 57. Let t be a(-15). Solve -110*s - 2 - 54 - 5*s**4 - 59 + 109*s**2 + 11*s**2 + 92*s**3 + t*s**3 = 0 for s.
-1, 1, 23
Let o(b) be the second derivative of -11/2*b**2 - 2/3*b**4 + 0 - 8/3*b**3 - 1/15*b**5 - 4*b. Let h(g) be the first derivative of o(g). Let h(q) = 0. What is q?
-2
Let j = 232194 - 232192. What is a in 2/7*a**4 - 2/7*a - 2/7*a**5 + 4/7*a**3 + 2/7 - 4/7*a**j = 0?
-1, 1
Let w(f) be the second derivative of 3*f**5/20 + 18*f**4 + 70*f**3 + 1410*f + 3. Factor w(v).
3*v*(v + 2)*(v + 70)
Let l(f) be the second derivative of 128/9*f**4 - 4096/45*f**5 - 32/27*f**3 + 1/18*f**2 - 45*f + 1 + 32768/135*f**6. Factor l(w).
(16*w - 1)**4/9
Let q(y) = -3*y**4 - 299*y**3 - 1549*y**2 - 2181*y - 940. Let h(f) = -5*f**4 - 600*f**3 - 3099*f**2 - 4362*f - 1879. Let l(m) = -4*h(m) + 7*q(m). Factor l(r).
-(r - 312)*(r + 1)**2*(r + 3)
Factor 237/4*s - 5/4*s**2 + 36.
-(s - 48)*(5*s + 3)/4
Let j(v) be the third derivative of 33/20*v**5 + v**3 + 9/70*v**7 - 107*v**2 - 15/8*v**4 + 0*v + 0 - 29/40*v**6. Factor j(s).
3*(s - 1)**3*(9*s - 2)
Solve 0 - 72/7*r**2 - 3/7*r**3 - 132/7*r = 0 for r.
-22, -2, 0
Let f(i) be the third derivative of i**5/20 - 113*i**4/8 - 6978*i**2. Suppose f(l) = 0. Calculate l.
0, 113
Let k(j) = -j**3 - 6*j**2 - 7*j - 5. Let u be k(-5). Suppose -u*w = -3*c, -w + 3*w = -2*c. Factor 0*v + w*v - 3*v**5 + 12*v**4 - v**5 - 8*v**3.
-4*v**3*(v - 2)*(v - 1)
Let w(t) be the first derivative of t**4/2 + 24*t**3 - 39*t**2 - 148*t - 2198. Factor w(a).
2*(a - 2)*(a + 1)*(a + 37)
Let h(k) = -2*k**3 - 6*k**2 + 7*k - 1. Let z be h(-4). Find w such that -54*w**2 + 8*w + 18*w**3 + 42*w**2 + 3*w**4 - 32*w - z*w**5 = 0.
-2, -1, 0, 2
Suppose -2*d + h = -149, -74 = -4*d + 3*h + 225. Suppose 62*a - 112 = d. Determine x so that 72*x + 18*x**2 + 3/2*x**a + 96 = 0.
-4
Factor 67 - 393 - 485*f - 5*f**3 - 250*f**2 + 86.
-5*(f + 1)**2*(f + 48)
Suppose 13*p + 1809 - 949 = 925. Let y(n) = -n + 1. Let o be y(1). Factor 6/13*z**3 + 0 + 0*z - 2/13*z**p + o*z**4 + 4/13*z**2.
-2*z**2*(z - 2)*(z + 1)**2/13
Let n(w) be the first derivative of -w**5/180 - 11*w**4/72 + 2*w**3/3 - w**2 - 15*w - 56. Let m(s) be the second derivative of n(s). Factor m(v).
-(v - 1)*(v + 12)/3
Suppose 3*f = -2*n + 60, -10639*f = 5*n - 10635*f - 87. Factor 254/5*x**2 - 20*x - 2*x**n + 0.
-2*x*(x - 25)*(5*x - 2)/5
Let w(h) be the first derivative of -h**5/5 - 343*h**4/4 + 691*h**3/3 + 343*h**2/2 - 690*h + 7587. Let w(r) = 0. What is r?
-345, -1, 1, 2
Let y(l) be the first derivative of 6/7*l**4 + 3/7*l**2 - 20/21*l**3 - 8