 - 941*h. Solve r(t) = 0.
-12, -2, -1, 2
Let x be 1/((-182)/(-108)) + (2100/325)/(-21). Find c, given that 4/7*c + 0 + x*c**3 + 6/7*c**2 = 0.
-2, -1, 0
Let z(n) be the third derivative of -n**5/270 + 145*n**4/54 + 97*n**3/9 + 3117*n**2. Solve z(c) = 0 for c.
-1, 291
Suppose 48*d - 46*d = 6. Let v be ((-5)/d)/(205/(-246)). Find z, given that 27*z**v + 324*z**4 - 3/2*z + 0 - 162*z**3 = 0.
0, 1/6
Let a(x) = -x**3 + 73*x**2 + 196*x - 288. Let j(s) = -72*s**2 - 200*s + 288. Let h(l) = 4*a(l) + 5*j(l). Suppose h(y) = 0. Calculate y.
-12, -6, 1
Let k(o) = 18*o + 60. Let j be k(-3). Factor -5*h**2 - j*h + 13*h + 14*h + 29*h - 45.
-5*(h - 9)*(h - 1)
Suppose 68*w + 2646 = 183*w + 538*w + 34. Determine r so that 8/5*r**3 - 18/5*r**5 + 0*r + 108/5*r**w - 48/5*r**2 + 0 = 0.
-2/3, 0, 2/3, 6
Let t(o) be the first derivative of 20/21*o**3 + 0*o - 1/7*o**4 - 12/7*o**2 - 91. What is y in t(y) = 0?
0, 2, 3
Let d(s) be the first derivative of s**6/6 - 19*s**5/5 + 7*s**4 + 208*s**3 + 288*s**2 + 1009. Determine r, given that d(r) = 0.
-4, -1, 0, 12
Let r(z) be the first derivative of 8 - 1/18*z**4 + 0*z**2 + 0*z - 5/27*z**6 + 16/45*z**5 - 4/27*z**3. Find g such that r(g) = 0.
-2/5, 0, 1
Suppose 3*j + 13*j = -2*j + 36. Let g(y) be the third derivative of 2/3*y**3 + 0 + 1/4*y**4 + 0*y - 5*y**j + 1/30*y**5. Factor g(i).
2*(i + 1)*(i + 2)
Let f(w) be the third derivative of 2*w**7/105 + 2*w**6/5 + 17*w**5/15 - 19*w**4 - 144*w**3 + 2*w**2 - 171*w + 12. Solve f(s) = 0.
-9, -4, -2, 3
Let c = -10989 - -10993. Let n(f) be the third derivative of 0 - 1/48*f**c - 3/400*f**6 + 1/30*f**3 + 0*f - 2/75*f**5 - f**2. Let n(h) = 0. Calculate h.
-1, 2/9
Let t = 26 + -27. Let w be t - (2 - (-10)/(-2)). Factor 27 + 12*z - 30*z - 15*z**2 + 18*z**w.
3*(z - 3)**2
Suppose -6191*d = -6422*d + 462. Let -8*p + 2/13*p**d + 104 = 0. What is p?
26
Let g(d) be the second derivative of d**6/120 - d**5/4 + 83*d**4/48 - 31*d**3/6 + 15*d**2/2 - d + 541. Factor g(i).
(i - 15)*(i - 2)**2*(i - 1)/4
Let a(n) be the first derivative of -n**5/25 - 2*n**4/3 - 10*n**3/3 + 130*n + 49. Let x(o) be the first derivative of a(o). Let x(w) = 0. Calculate w.
-5, 0
Suppose -243*h - 4*h**4 - 6488*h**3 + 6432*h**3 - 37*h - 236*h**2 = 0. What is h?
-7, -5, -2, 0
Suppose -5*h + 10 = 0, -62 = -2*x - 9*h + 14*h. Let r be 1720/84 + x/42. Factor -28/3*w**2 + 4/3*w**3 + 32/3*w + r.
4*(w - 4)**2*(w + 1)/3
Suppose -t = g - 419, -t = -2*g - 0*t + 850. Let i = g + -2113/5. Factor 0*a + 0 + 2/5*a**5 - 2/5*a**2 - i*a**3 + 2/5*a**4.
2*a**2*(a - 1)*(a + 1)**2/5
Suppose 3*o = -2*o + 4*d + 46, 2*o - 3*d = 17. Suppose -2*x = o*x - 108. Find t, given that x*t + 5*t + 10*t - 2*t**2 - 26*t = 0.
-1, 0
Let s be (-140)/(-910) - 100/(-26). What is a in 13*a**4 - 24*a**4 - s*a - 12*a**2 + a**3 + 14*a**4 = 0?
-2, -1/3, 0, 2
Let s be (-12)/(-5) - 123/(-205). Let r be s - ((-44)/(-12))/11. Solve -2 + r*u - 2/3*u**2 = 0 for u.
1, 3
Suppose -5*w + 0*p - 4*p + 55 = 0, 3*w = -5*p + 20. Factor 8*t - 2*t**3 - 17*t**4 + w*t**4 - 16 + 12*t**2 + 0.
-2*(t - 2)*(t - 1)*(t + 2)**2
Let k be (918/36)/17*(-28)/(-45). Let o(t) be the first derivative of -32/5*t + k*t**3 - 1/10*t**4 + 19 - 8/5*t**2. Solve o(v) = 0 for v.
-1, 4
Let a(q) = -180*q**4 + 373*q**4 + q**5 - 174*q**4 - 16*q**3 - 3*q - 67*q**2. Let s(d) = -d**5 + d**4 - d**2 - d. Let p(v) = a(v) - 3*s(v). Factor p(j).
4*j**2*(j - 2)*(j + 2)*(j + 4)
Factor -32/5*c**2 - 116/5*c - 10.
-2*(2*c + 1)*(8*c + 25)/5
Let r be ((-4)/(-2) - 27)*(-20)/100. Solve g + g**4 - r*g**4 - 5*g + 7*g**2 + 3*g**4 - 2*g**3 = 0.
-4, 0, 1
Let o(s) = s**3 - 35*s**2 + 181*s - 42. Let u be o(6). Let x = -49 - -295/6. Factor x*g**4 + 3/2*g**2 + u*g + 0 + g**3.
g**2*(g + 3)**2/6
Let h(n) = n**3 - 8*n**2 + 14*n + 8. Let u be h(4). Suppose -3*j - 5*a + 18 + 4 = u, -a + 2 = 0. Factor 1/3*y**j - 1/3*y - y**3 + y**2 + 0.
y*(y - 1)**3/3
Let k = 382 + -379. Factor 30*i - 50*i**2 - 33*i**2 - 32*i**2 + 82*i**2 + 3*i**k.
3*i*(i - 10)*(i - 1)
Let j be (9/18 - 1)*48. Let o(i) = -i**4 - 8*i**3 - 6*i**2 + 16*i - 17. Let t(l) = -2*l**3 + 2*l**2 - l - 1. Let u(y) = j*t(y) + 3*o(y). Solve u(r) = 0.
1, 3
Let -1705*p**4 + 20*p**2 - 1702*p**4 + 27*p**3 - 13 - 27*p + 3409*p**4 - 9*p**2 = 0. What is p?
-13, -1, -1/2, 1
Solve 75*b**4 + 537*b**2 - 185*b**5 + 134*b**3 - 612 + 395*b**5 + 307*b**3 - 207*b**5 - 444*b = 0 for b.
-17, -6, -2, -1, 1
Let b(n) = 9*n**2 + 291*n - 6. Let k(y) = -16*y**2 - 580*y + 11. Let x(a) = -11*b(a) - 6*k(a). Factor x(f).
-3*f*(f - 93)
Let x(i) = -11*i**4 + 28*i**3 + 107*i**2 - 149*i + 39. Let m(y) = -10*y**4 + 27*y**3 + 107*y**2 - 150*y + 38. Let p(t) = -7*m(t) + 6*x(t). Solve p(f) = 0.
-4, 1/4, 1, 8
Let j = -3846 - -42267/11. Let l = j - -128/33. Suppose 2/3 - 1/3*o**2 + l*o = 0. Calculate o.
-1, 2
Let u be ((18/20 - -27) + -28)*(-10)/6. What is k in 2/3*k**2 + k**3 - u*k**5 - 5/6*k + 0 - 2/3*k**4 = 0?
-5, -1, 0, 1
Factor 82*g**2 + 101 + 10*g**4 - 54 + 6*g + 44*g**3 - 67 + 6*g**3 + 16*g**3.
2*(g + 1)**2*(g + 5)*(5*g - 2)
Let b(n) = -65*n**2 - 105*n - 4165. Let y(p) = 4*p**2 - 15*p. Let k(f) = b(f) + 15*y(f). Suppose k(r) = 0. What is r?
-49, -17
Let m(a) = -47*a + 270. Let r be m(5). Let -125 + 182*o**4 - r*o**2 - 205*o - 25 + 25*o**3 - 177*o**4 = 0. Calculate o.
-5, -2, -1, 3
Let t(d) be the third derivative of d**6/114 - 7*d**5/190 + d**4/19 - d**3/57 - 1048*d**2. Factor t(p).
2*(p - 1)**2*(10*p - 1)/19
Let v = 543197/203700 - -1/67900. What is b in -10/3*b**2 - 10*b**4 + 0 - v*b**5 + 0*b + 16*b**3 = 0?
-5, 0, 1/4, 1
Let j(d) = 13*d - 48. Let q be j(2). Let g be (0 - -2)/((-55)/q). Find n such that 2/5*n**4 - 2/5*n**5 - 2*n**2 + 6/5*n**3 + 0 + g*n = 0.
-2, 0, 1
Let u be 15/(-9)*(-61)/(56425/222). Solve -14/5*x**5 - 32/5*x - 2*x**4 + 8/5 + 46/5*x**3 + u*x**2 = 0.
-2, -1, 2/7, 1
Suppose 6*a - 15*a + 81 = 0. Factor -45*k**2 - 2263*k + a*k**3 + 12*k**3 - 3*k**4 + 2290*k.
-3*k*(k - 3)**2*(k - 1)
Let o(y) = 2*y**3 - 38*y**2 - 10*y + 190. Let b(i) = 2*i**2 - 2. Let g(s) = -22*b(s) - 2*o(s). Factor g(l).
-4*(l - 7)*(l - 4)*(l + 3)
Let q be (-4)/18 + 49/18. Let h = 38693/6 - 6448. What is k in -q*k + 5/2*k**2 - h*k**3 + 5/6 = 0?
1
Let r(i) be the first derivative of 4*i**3/9 + 19*i**2 + 54*i - 1091. What is z in r(z) = 0?
-27, -3/2
Let m(s) = 4*s**3 + 51*s**2 - 70*s + 4. Let a be m(-14). Determine v, given that 3/7*v**3 - 1/7*v**5 + 0 + 1/7*v**a - 1/7*v**2 - 2/7*v = 0.
-1, 0, 1, 2
Let j be (-1328)/12*(-14)/32. Let g = 97/2 - j. Factor -1/6 - g*o + 1/6*o**2 + 1/12*o**3.
(o - 1)*(o + 1)*(o + 2)/12
Let q(d) = 4*d - 1. Let j be q(10). Factor -b**2 + j - 7 - 22 - 9*b.
-(b - 1)*(b + 10)
Factor -55*b**2 - 77*b + 49*b - 32*b - 20*b - 70*b.
-5*b*(11*b + 30)
Let g(i) = -i**3 + 17*i**2 - 15*i + 38. Let c be g(16). Let w = 28 + -22. Factor c*a**3 + w*a**2 - 22*a**3 - 29*a**3.
3*a**2*(a + 2)
Let j(t) = -t**2 + 5017*t - 199070. Let q be j(40). Factor -5/2*p**2 - q*p + 0.
-5*p*(p + 4)/2
Let i(j) be the third derivative of -j**6/120 + 7*j**5/30 - 59*j**4/24 + 35*j**3/3 - 88*j**2 - 5. Factor i(x).
-(x - 7)*(x - 5)*(x - 2)
Let r(s) = 9*s**2 + 39*s + 324. Let i be r(-9). Let m = i + -698. Factor 0 + 0*o**2 - 2/5*o**3 - 2/5*o**5 + 0*o + 4/5*o**m.
-2*o**3*(o - 1)**2/5
Let x(q) = -q**2 + 28*q - 48. Let o be x(26). Factor -227*k**4 + 12*k**3 + 109*k**o - 4*k**5 - 8*k**2 + 118*k**4.
-4*k**2*(k - 1)**2*(k + 2)
Suppose 2*p = 6*p - 56. Suppose -2*q + 32 = -g, -4*q + 9*q - g = 86. Factor -7*w + q*w + w**3 + 2 - p*w.
(w - 1)**2*(w + 2)
Let g(l) = -20*l**4 + 105*l**3 + 250*l**2 - 385*l + 25. Let u(d) = 5*d**4 - 26*d**3 - 63*d**2 + 96*d - 6. Let v(k) = -6*g(k) - 25*u(k). Let v(b) = 0. What is b?
-3, 0, 1, 6
Suppose c - 3*q + 1 = 0, 147*c - 1 = 149*c - 5*q. Suppose 20/9*l**3 + 16/9*l**2 - c + 2/9*l**4 - 20/9*l = 0. What is l?
-9, -1, 1
Let j(k) be the third derivative of k**6/24 - k**5/4 + 5*k**4/12 + 2612*k**2. Factor j(r).
5*r*(r - 2)*(r - 1)
Let o = 1/553 - -2763/1106. Let h(m) be the second derivative of 5/12*m**4 + 2*m - 5/6*m**3 + 0 - o*m**2 + 1/4*m**5. Factor h(w).
5*(w - 1)*(w + 1)**2
Factor 39*a**3 + 17*a**3 + 2*a**4 + 26*a**2 - 28*a**3.
2*a**2*(a + 1)*(a + 13)
Solve 2*k**4 - 2/3*k**5 + 2 - 4*k**2 - 2/3*k + 4/3*k**3 = 0.
-1, 1, 3
Let b(j) be the second derivative of j**7/1680 + j**6/60 - 9*j**5/80 - 109*j**4/12 - 5*j + 2. Let x(l) be the third derivative 