- 15*n - 14. Let l(k) = k**2 + k - 2. Let g be ((-1)/2)/(16/(-160)). Let d(z) = g*y(z) - 35*l(z). Solve d(j) = 0 for j.
-22, 0
Let z = -128628/5 + 2186886/85. Factor -40/17*n - 2/17*n**2 + z.
-2*(n - 1)*(n + 21)/17
Let a(i) = 4*i**2 - 4*i - 2. Let c(r) = -3 - 488*r**2 + 2 + 487*r**2. Let z(w) = -a(w) - 3*c(w). Solve z(h) = 0 for h.
-1, 5
Suppose 0 = 28*w - 15*w - 52. Let l(u) = -u**3 + 125*u**2 - 840*u + 720. Let p(b) = -b**3 + 250*b**2 - 1680*b + 1440. Let y(o) = w*p(o) - 9*l(o). Factor y(g).
5*(g - 12)**2*(g - 1)
Let j(r) be the second derivative of -2*r**6/15 - 617*r**5/5 + 1238*r**4/3 - 3377*r. Factor j(l).
-4*l**2*(l - 2)*(l + 619)
Suppose -2851 = -13*z - 2812. Let m(o) be the second derivative of -1/75*o**6 + 1/5*o**z + o + 0*o**2 + 1/6*o**4 + 0 + 1/50*o**5. Determine i so that m(i) = 0.
-1, 0, 3
Factor 1354*n + 871*n + 1188*n - 3912 - 5*n**2 + n**2 + 503*n.
-4*(n - 978)*(n - 1)
Let p(y) = 36*y**2 - 784*y - 3982. Let m(x) = 180*x**2 - 3920*x - 19900. Let u(a) = 3*m(a) - 14*p(a). Factor u(v).
4*(v - 26)*(9*v + 38)
Let f(i) = -53*i + 265. Let j be f(5). Let w(o) be the third derivative of -1/15*o**5 - 24*o**3 + 11*o**2 - 2*o**4 + j + 0*o. What is c in w(c) = 0?
-6
Let r = 3147 + -3144. Let x(n) be the first derivative of 12 + 15/2*n**2 - 10*n**3 + 15/2*n**4 - 3*n**5 + 1/2*n**6 - r*n. What is k in x(k) = 0?
1
Let l(f) be the third derivative of f + 207/34*f**4 + 24334/255*f**6 - 9/17*f**3 - 3174/85*f**5 + 0 + 7*f**2. Factor l(t).
2*(46*t - 3)**3/17
What is z in -281/5*z**3 - 711/5*z**2 - 571/5*z - 143/5 + 2/5*z**4 = 0?
-1, -1/2, 143
Let q = 132 + -169. Let c = q + 57. Factor 24*h**3 + 3*h**2 + h**3 + 7*h**2 + c*h**4 + 5*h**5.
5*h**2*(h + 1)**2*(h + 2)
Let d(p) be the first derivative of -24 + 0*p + 3*p**2 - 1/2*p**3. Find l such that d(l) = 0.
0, 4
Factor 1/5*q**3 + 71/5*q**2 + 0 + 138/5*q.
q*(q + 2)*(q + 69)/5
Let y(t) be the first derivative of -t**4/8 - 233*t**3/3 + 469*t**2 - 940*t + 1538. Find w such that y(w) = 0.
-470, 2
Let 51/4 + 203/8*i - 1/8*i**3 + 25/2*i**2 = 0. What is i?
-1, 102
Let w be (-104)/117*(4 + 230/(-56)). What is j in -4/21*j**3 - 2/3*j**2 + w*j**4 - 8/7 + 40/21*j = 0?
-3, 1, 2
Let j be ((-214)/(-280) - (-56)/(-70))/(5/(-46 + 6)). Factor 8/7*v - 6/7*v**3 - 8/7*v**2 + 0 + j*v**5 + 4/7*v**4.
2*v*(v - 1)**2*(v + 2)**2/7
Let t(f) be the second derivative of 3*f**5/20 + 12*f**4 + 46*f**3 + 4402*f. Find k such that t(k) = 0.
-46, -2, 0
Let c be ((-598)/(-69) + -12)/(9 - (10 + 24)). Let 2/15*j - c*j**3 + 4/15*j**2 - 4/15 = 0. Calculate j.
-1, 1, 2
Let i(a) be the third derivative of 2*a**7/735 - 23*a**6/210 + 6*a**5/5 + 5*a**2 + 91. Factor i(o).
4*o**2*(o - 14)*(o - 9)/7
Let i(o) = o**4 - o**2 - o. Let t(y) = -7*y**4 - 8*y**3 + 15*y**2 + 19*y - 16. Let k = 138 + -139. Let v(s) = k*t(s) - 3*i(s). Factor v(f).
4*(f - 1)**2*(f + 2)**2
Let c(z) be the third derivative of z**8/336 - z**7/42 - 7*z**6/120 + z**5/12 + z**4/4 + 754*z**2. Factor c(s).
s*(s - 6)*(s - 1)*(s + 1)**2
Find w, given that 36/7 - 18*w**2 + 18/7*w**4 + 6/7*w**3 + 66/7*w = 0.
-3, -1/3, 1, 2
What is v in 7220/17 - 930/17*v**2 - 2/17*v**4 - 82/17*v**3 - 1406/17*v = 0?
-19, -5, 2
Let a be 12/5 + 4/(-10). Let b be ((-10)/(-3))/2*12/15. What is t in 4/3*t**3 - 8/3*t**a + 0 + b*t = 0?
0, 1
Let t(u) be the first derivative of 0*u**2 + 1/15*u**6 - 8/15*u**3 - 7/10*u**4 - 39 + 0*u - 4/25*u**5. Let t(v) = 0. Calculate v.
-1, 0, 4
Suppose -u - 1 = -2*p + 6, 4*u - 7 = p. Factor -4*q + 34 + 15*q**2 - u*q**4 - 9*q**3 - 46 + 13*q.
-3*(q - 1)**2*(q + 1)*(q + 4)
Suppose -188 + 170 = -9*q. Let y(b) be the third derivative of -1/105*b**7 + 0*b**4 + 0*b + 0 - 1/180*b**6 + 8*b**q + 1/126*b**8 + 0*b**3 + 0*b**5. Factor y(w).
2*w**3*(w - 1)*(4*w + 1)/3
Let d be (13/(26/(-4)))/2. Let s(j) = -20*j**2 + 20*j - 30. Let k(w) = w**2 + 1. Let u be -4 - -5 - 32/2. Let b(p) = d*s(p) + u*k(p). Factor b(v).
5*(v - 3)*(v - 1)
Suppose -65*h + 5*h + 125280 = 0. Let j be h/203 - 20/2. Let j*t**3 + 72/7*t + 24/7*t**2 + 0 = 0. Calculate t.
-6, 0
Let f(a) be the second derivative of -4*a**5/5 - 271*a**4/3 + 1256*a**3/3 - 280*a**2 - 11459*a + 1. Suppose f(j) = 0. What is j?
-70, 1/4, 2
Let o = -152 + 130. Let j be (-203)/(-105) - (o/6 - -4). Suppose 28/5*z**3 - j*z - 12/5*z**2 - 4*z**5 + 0 + 12/5*z**4 = 0. What is z?
-1, -2/5, 0, 1
Let t be -2 - (-10 - -4)/1. Suppose 1 - 9*p**2 + 10*p**2 + t*p - 13 + 0*p = 0. What is p?
-6, 2
Factor -33/7*d**2 + 36/7*d**3 - 1/7*d**4 + 0 - 10*d.
-d*(d - 35)*(d - 2)*(d + 1)/7
Factor 59128 - 50378 + 303*i + 296*i + i**3 + 726*i + 64*i**2.
(i + 14)*(i + 25)**2
Let k be ((-22311)/36)/(18/8). Let z = -275 - k. Determine i so that -16/9 - 8/9*i + z*i**2 + 2/9*i**3 = 0.
-2, 2
Suppose 616/17*f - 720/17 + 2/17*f**4 - 2*f**3 - 4*f**2 = 0. What is f?
-5, 2, 18
Let n(i) be the second derivative of i**6/195 + 4*i**5/65 + i**4/6 + 2*i**3/13 + 324*i. Solve n(s) = 0.
-6, -1, 0
Let f = 960 - 957. Suppose 7*m - f*k = 3*m + 11, -1 = 2*m + 5*k. Suppose 0 - 1/2*a - 3/4*a**m - 1/4*a**3 = 0. Calculate a.
-2, -1, 0
Factor 657/10 + 1/10*v**2 - 41/5*v.
(v - 73)*(v - 9)/10
Let r = -172882 - -172882. Let -14/11*f**3 + 8/11*f + 0 + r*f**2 - 6/11*f**4 = 0. What is f?
-2, -1, 0, 2/3
Factor 21*n**2 - 41*n + 61/3 - 1/3*n**3.
-(n - 61)*(n - 1)**2/3
Let z(g) be the third derivative of -16/15*g**5 + 29*g - 2*g**3 - 3/10*g**6 + 1/168*g**8 - 23/12*g**4 + 0 - 2/105*g**7 - g**2. Determine y so that z(y) = 0.
-1, 6
Let q(c) = -c + 24. Let n be q(0). Let p be ((-6)/(-8))/(n/16). Find t such that t**2 - 1/2 - p*t**4 - 1/2*t**5 - 1/2*t + t**3 = 0.
-1, 1
What is z in -42*z + 86 - 1/2*z**2 = 0?
-86, 2
Suppose -29*l = -99 + 12. Suppose l*s + 3 = 5*u, -96*u - 4*s = -98*u + 4. Solve 0*x + 1/2*x**2 + u - 3*x**3 - 2*x**5 + 9/2*x**4 = 0.
0, 1/4, 1
What is i in 18*i**3 + 17*i**4 - 39*i**2 - 8*i**4 + 18*i + 152*i**5 - 158*i**5 = 0?
-2, 0, 1, 3/2
Factor -4527*s**2 + 1105*s**3 - 288 + 42*s**4 + 288 + 11463*s**2 + s**5 + 16*s**4.
s**2*(s + 17)**2*(s + 24)
Find s, given that 2/11*s**2 + 268/11 - 270/11*s = 0.
1, 134
Let p be (-3 - (0 - -7))/(6/27). Let i = -43 - p. Factor -h**4 - 8*h**3 - 3*h**2 + 10 - 3 - 3*h**i + 8*h.
-(h - 1)*(h + 1)**2*(h + 7)
Factor -865/3 + 5/3*a**2 + 860/3*a.
5*(a - 1)*(a + 173)/3
Let j(b) = -31*b**3 + 126*b**2 - 21*b + 54. Let h be j(4). Factor 105/4*i - 3/4*i**h - 51/2.
-3*(i - 34)*(i - 1)/4
Let o(m) be the third derivative of 1/10*m**3 + 115*m**2 + 1/1050*m**7 + 0*m + 1/60*m**4 + 0 - 1/300*m**6 - 1/75*m**5. Solve o(n) = 0 for n.
-1, 1, 3
Let q be (-2261)/1520 + (-1 + 1 - 6/(-4)). Let i(d) be the third derivative of 0*d**4 + 12*d**2 + 0*d + q*d**5 + 0 + 0*d**3. Factor i(b).
3*b**2/4
Let j be (7 - (-141)/(-21))*14 - 4. Let a(k) be the first derivative of j*k - 10 + 5/18*k**4 + 2/45*k**5 + 4/9*k**2 + 16/27*k**3. Factor a(f).
2*f*(f + 1)*(f + 2)**2/9
Factor -1/7*f**2 + 666/7 + 331/7*f.
-(f - 333)*(f + 2)/7
Suppose 7*y = y + 36. Factor 2*v - 4 - 5*v + 6*v + v**3 + 6*v - y*v**2.
(v - 4)*(v - 1)**2
Let k(i) = 4*i. Let v = -73 + 109. Let q(g) = g**2 - 38*g - 3. Let x(u) = v*k(u) + 4*q(u). Factor x(o).
4*(o - 3)*(o + 1)
Let t(n) be the third derivative of 0 - 4/15*n**3 + 5*n - n**2 + 1/150*n**5 + 0*n**4. Factor t(a).
2*(a - 2)*(a + 2)/5
Let b(y) be the third derivative of -1/105*y**7 - 2 + 9/40*y**4 - 26*y**2 + 9/5*y**3 - 1/1680*y**8 - 17/300*y**6 - 3/25*y**5 + 0*y. Let b(g) = 0. What is g?
-3, -2, 1
Let u(y) = -y**3 - y**2 + 4*y + 66. Let d be u(4). Find f such that -1/10*f**d + 7/10*f - 1 = 0.
2, 5
Let w = 40 - 38. Suppose 0*t - 18 = -w*t. Let -2*q**2 + 7*q + t*q**2 + 4 - 3*q - 6*q**2 = 0. What is q?
-2
Determine a, given that -31 - 31 - 6 + 3*a**3 - 93*a**2 - 195*a - 31 = 0.
-1, 33
Let q(f) be the third derivative of -f**7/840 + 5*f**6/96 + 27*f**5/80 + 83*f**4/96 + 7*f**3/6 + f**2 - 133*f. Suppose q(d) = 0. What is d?
-1, 28
Let v be ((-2)/(-4)*22)/(5/(-545)). Let c = -1197 - v. Let -8/3*a - 1/6*a**c - 32/3 = 0. What is a?
-8
Let f(v) be the second derivative of -v**5/90 - 7*v**4/54 - 10*v**3/27 + v + 27. Factor f(b).
-2*b*(b + 2)*(b + 5)/9
Let f(h) be the third derivative of -8*h**7/105 + h**6/6 + 23*h**5/15 - h**4 - 1299*h**2. Factor f(t).
-4*t*(t - 3)*(t + 2)*(4*t - 1)
Let a(d) be the first derivative of 5*d**3/3 - 80*d**2 + 875*d - 2302. Factor a(q).
5*(q - 25)*(q - 7)
Let o(w) be the third deri