lculate t.
-2, 1/4, 1
Let h be ((-3)/2)/((-30)/80). Suppose -w = -4*l - 6, h*w - 5 - 7 = 4*l. Factor t**5 + t**4 + 131*t**3 + 133*t**3 - 14*t**w - 11*t - 3 - 270*t**3.
(t - 3)*(t + 1)**4
Let w be 1*-15 + (-714612)/(-40341). Factor 1/7*o**4 - 2*o - 4/7*o**3 + 0 - w*o**2.
o*(o - 7)*(o + 1)*(o + 2)/7
Factor 2*p**4 + 49*p**2 - 3*p**4 - 2*p**2 + 84*p + 33347 - 33303 + 6*p**3.
-(p - 11)*(p + 1)*(p + 2)**2
Let d(n) be the second derivative of 5/27*n**4 + 14/45*n**5 - 20/189*n**7 + 2*n - 8/27*n**3 + 1/9*n**2 - 11/135*n**6 + 23. What is o in d(o) = 0?
-1, 1/5, 1/4, 1
Let g(j) be the second derivative of j**6/10 - 21*j**5/20 + 7*j**4/2 - 4*j**3 - 63*j + 6. Find i, given that g(i) = 0.
0, 1, 2, 4
Let s(p) be the first derivative of -p**3/3 - 16*p**2 + 185*p + 105. Let y be s(-37). Factor -8/9*g - 2/9*g**3 + y - 8/9*g**2.
-2*g*(g + 2)**2/9
Suppose -b + 19*b = 11646. Solve -9 - 11*l**2 - 14*l - 648*l**3 + b*l**3 - 5*l = 0 for l.
-9, -1
Let q be ((-22888)/(-96))/(4/((-32)/(-6))). Let j = q + -317. Find t such that -32/9*t + j - 2*t**2 = 0.
-2, 2/9
Suppose 37*g = 2175 + 2561. Let l be g/24*(-4)/((-80)/18). What is x in -3/5*x**2 - 48/5 - l*x = 0?
-4
Let t(b) be the second derivative of b**8/50400 + b**7/2700 - 5*b**4/12 - 8*b**2 - 111*b. Let z(l) be the third derivative of t(l). Factor z(i).
2*i**2*(i + 7)/15
Let -34*x**4 + 343*x**3 + 35*x**4 + 2*x**2 - 346*x**3 = 0. Calculate x.
0, 1, 2
Suppose 368*m - 369*m + 2 = 0. Let t(h) be the first derivative of -1/3*h**3 + 5 + h + 0*h**m. Determine j so that t(j) = 0.
-1, 1
Let b = 414 + -443. Let l be 2 - (8 - b/(-4)). Factor 3/4*q**4 + 1/2*q**2 + 0 + 0*q + l*q**3.
q**2*(q + 1)*(3*q + 2)/4
Let d be (-6)/5*(-15)/9. Suppose -5*s = -4*h - 13, -3*h + 4*h + 4*s = 23. Determine x so that 2/9*x**h - 2/9*x + 2/3 - 2/3*x**d = 0.
-1, 1, 3
Let b = -386599 + 386599. Solve 139/3*x**3 + 62*x**4 + b + 4/3*x + 40/3*x**2 + 21*x**5 = 0.
-2, -1/3, -2/7, 0
Let o(n) be the second derivative of -n**7/147 - 2*n**6/105 + 11*n**5/70 + 20*n**4/21 + 44*n**3/21 + 16*n**2/7 + 561*n - 1. Suppose o(c) = 0. Calculate c.
-2, -1, 4
Let b(o) be the third derivative of 0 - 1/360*o**6 - 38*o**2 - 41/24*o**4 - 5/36*o**5 + 0*o - 19/2*o**3. Factor b(t).
-(t + 3)**2*(t + 19)/3
Let p = -3789133/5 - -757829. Let -11/10*b - 1/10*b**2 - p = 0. Calculate b.
-8, -3
Let s(q) be the third derivative of q**5/12 + 205*q**4/12 - 425*q**3/2 - 32*q**2 - q. Factor s(k).
5*(k - 3)*(k + 85)
Factor 0 - 32/7*j**3 - 22*j**2 - 28*j - 2/7*j**4.
-2*j*(j + 2)*(j + 7)**2/7
Let n(c) be the second derivative of 3*c**5/100 - 21*c**4/20 - 7*c**3 - 72*c**2/5 + 427*c + 1. Factor n(d).
3*(d - 24)*(d + 1)*(d + 2)/5
Let g(m) be the first derivative of 0*m - 1/25*m**5 + 2/5*m**2 - 19 + 1/4*m**4 - 8/15*m**3. Solve g(c) = 0 for c.
0, 1, 2
Suppose 43186/9*q + 4/9*q**4 - 580/9*q**3 - 16/9*q**2 + 2/9*q**5 - 81796/9 = 0. Calculate q.
-13, 2, 11
Let j(o) = 180*o**3 + 1157*o**2 + 1042*o + 258. Let b(h) = -92*h**3 - 579*h**2 - 522*h - 130. Let a(v) = -5*b(v) - 3*j(v). Factor a(z).
-4*(2*z + 1)**2*(5*z + 31)
Factor -4*q**2 - 74/3*q + 2/3*q**3 - 20.
2*(q - 10)*(q + 1)*(q + 3)/3
Let q(p) be the second derivative of p**7/210 + 7*p**6/90 + p**3/6 + 15*p**2 - 3*p - 17. Let b(j) be the second derivative of q(j). Factor b(z).
4*z**2*(z + 7)
Suppose 14 = -7*n + 42. Factor -104*h - 18*h**2 + 91*h - 3 - n + 13*h**2 + h**3.
(h - 7)*(h + 1)**2
Suppose -2*w = -2*w + 5*w. Suppose 3 = -3*d, -k - 3*d - 2*d - 2 = w. Determine t, given that -17*t**k - 26 - 22 + 12*t**3 + 3 - 75*t - 35*t**2 = 0.
-3, -1
Factor -620*w - 5*w**3 - 1447*w**2 + 557*w**2 + 574*w**2 - 308 + w**3.
-4*(w + 1)**2*(w + 77)
Let c(i) = 6*i**5 - 22*i**4 - 82*i**3 - 18*i**2 + 316*i + 448. Let f(o) = o**5 - o**3 - o + 2. Let x(j) = c(j) - 8*f(j). Factor x(p).
-2*(p - 2)*(p + 3)**3*(p + 4)
Suppose 9/2*x**4 - 1/2*x**5 + 0 + 0*x - 15/2*x**3 + 7/2*x**2 = 0. Calculate x.
0, 1, 7
Let k(u) be the first derivative of -17*u**5/4 - 125*u**4/4 + 445*u**3/4 - 415*u**2/4 + 20*u + 1951. Suppose k(f) = 0. Calculate f.
-8, 2/17, 1
Find i such that 102630*i**2 + 11*i - 102621*i**2 + i**3 - 33*i = 0.
-11, 0, 2
Let i(j) be the third derivative of 0 + 0*j**4 - 5/27*j**5 + 0*j + 1/1512*j**8 + 108*j**2 + 8/945*j**7 + 1/108*j**6 + 0*j**3. Let i(g) = 0. What is g?
-5, 0, 2
Let x(j) be the third derivative of 0*j + 1/84*j**8 + 11/15*j**6 + 3/2*j**4 - 16/105*j**7 + 0*j**3 - 8/5*j**5 + 2*j**2 + 2. Find a such that x(a) = 0.
0, 1, 3
Factor 142 + 245*s - 250*s**3 + 142*s**4 + 10*s**2 - s**4 - 267 - 26*s**4 + 5*s**5.
5*(s - 1)**3*(s + 1)*(s + 25)
Let -5/3*j**3 + 0 - 1235/3*j - 1240/3*j**2 = 0. What is j?
-247, -1, 0
Let j(r) = -r**4 - 11*r**3 + 6*r**2 + 4*r + 4. Let p(h) = -h**4 - 13*h**3 + 6*h**2 + 3*h + 5. Let s(d) = 5*j(d) - 4*p(d). Factor s(t).
-t*(t - 2)*(t + 1)*(t + 4)
Let w(z) be the second derivative of -1/15*z**5 + 2/3*z**3 - 6*z**2 + 15*z - 1/12*z**4 + 1/60*z**6 + 0. Let l(n) be the first derivative of w(n). Factor l(a).
2*(a - 2)*(a - 1)*(a + 1)
What is i in 3*i**3 - 7/3*i**2 + 8/3 - 3*i - 1/3*i**4 = 0?
-1, 1, 8
Let o be (-4)/10 - 4636/1710. Let b = o + 286/63. Let 2/7*p**2 + 12/7*p + b = 0. Calculate p.
-5, -1
Let m(i) be the third derivative of i**5/160 + 31*i**4/16 + 61*i**3/4 - 2*i**2 - 2079*i. Solve m(g) = 0.
-122, -2
Factor -85683/4 - 3/4*c**2 + 507/2*c.
-3*(c - 169)**2/4
Let c(p) be the second derivative of -3*p**5/20 + 15*p**4/4 - 31*p**3 + 108*p**2 + 646*p + 2. Determine j so that c(j) = 0.
2, 4, 9
Let p(k) = -7*k**3 - 2256*k**2 + 6151*k + 1930. Let m(l) = 6*l + 4. Let q(r) = 5*m(r) + p(r). Factor q(j).
-(j - 3)*(j + 325)*(7*j + 2)
Let s(u) be the first derivative of 5/2*u**2 - 1/9*u**3 + 164 - 26/3*u. Solve s(i) = 0 for i.
2, 13
Let p(w) be the second derivative of -w**4/20 - 19*w**3/2 + 441*w**2/5 + 1212*w. Find m, given that p(m) = 0.
-98, 3
What is k in 6 - 23/4*k - 1/4*k**2 = 0?
-24, 1
Suppose -5*c = y - 4 - 1, 25 = 5*c + 5*y. Let x be -15 - (-46)/2 - 6. Solve -1/2*v**3 + 2*v**x + c - 2*v = 0.
0, 2
Let k(z) be the first derivative of 1/3*z**3 + 0*z - 11/20*z**4 + 3/5*z**2 - 32. Factor k(o).
-o*(o - 1)*(11*o + 6)/5
Let q(f) be the first derivative of -19/5*f**3 - 140 + 3/10*f**4 + 36/5*f**2 + 0*f. Factor q(z).
3*z*(z - 8)*(2*z - 3)/5
Let d(h) be the third derivative of -h**6/780 + 147*h**5/130 - 16425*h**4/52 + 47961*h**3/13 - 117*h**2 + h + 2. Factor d(o).
-2*(o - 219)**2*(o - 3)/13
Let l(r) be the second derivative of 1/6*r**4 + 0*r**2 - 4*r**3 - 4 - 7*r. Factor l(i).
2*i*(i - 12)
Find p, given that -85/4*p**2 - 15/4*p**3 - 25/2*p + 0 + 5/4*p**5 + 25/4*p**4 = 0.
-5, -1, 0, 2
Let b(m) be the second derivative of -20/3*m**2 - 2 - 1/18*m**4 - 4/3*m**3 + 106*m. Factor b(l).
-2*(l + 2)*(l + 10)/3
Let o be (1/(-2))/((-6)/24). Let u be (2*3/(-2))/((-15)/100). Factor -26*f**2 + 5*f - u*f**o + 41*f**2.
-5*f*(f - 1)
Let l(b) be the second derivative of 20*b**4/39 - 119*b**3/39 - 3*b**2/13 + 619*b. Factor l(c).
2*(c - 3)*(40*c + 1)/13
Factor 290/17*a + 1776/17*a**2 + 12/17 + 288/17*a**3.
2*(a + 6)*(12*a + 1)**2/17
Let r(g) = g**5 - 2*g**3 - 3*g + 1. Let s(d) = -6*d**5 - 15*d**4 - 38*d**3 + 64*d**2 + 15*d - 5. Let j(y) = -5*r(y) - s(y). Factor j(u).
u**2*(u - 1)*(u + 8)**2
Let b be -14 - -10 - (234/(-216) - 1*3). Let p(f) be the second derivative of -1/8*f**2 + 8*f + 1/120*f**6 - b*f**3 + 0*f**4 + 0 + 1/40*f**5. Factor p(m).
(m - 1)*(m + 1)**3/4
Let o be (-2)/4*-5*184/10. Determine u, given that -6 - u - 7*u**5 + 40*u**4 + 0 + 6*u**5 - 72*u**3 + o*u**2 - 6*u**5 = 0.
-2/7, 1, 3
Let s = 24883/7652 - 7/3826. Let -1/4*l**4 + 0 - 12*l**2 - s*l**3 - 9*l = 0. What is l?
-6, -1, 0
Let j = 11/8 - 1. Suppose 4*n + 37*n = -n - 25*n + 2*n. Factor -3/4*r + j*r**2 + n.
3*r*(r - 2)/8
Let s be (-258)/90 - (6 + (-2 - -6) + -13). Let t(f) be the first derivative of -f**2 - s*f**3 + 11 - 12/5*f. Suppose t(c) = 0. Calculate c.
-3, -2
Let t(s) be the third derivative of 65*s**2 + 2 - 4/15*s**5 - 2/105*s**7 - 8/3*s**4 + 0*s + 0*s**3 - 1/84*s**8 + 2/5*s**6. Suppose t(q) = 0. What is q?
-4, -1, 0, 2
Suppose 159 - 122 = 5*p - 3*v, 0 = 2*v + 18. Factor 3/2*o**3 - 3 - 1/2*o**4 + 3/2*o**p - 7/2*o.
-(o - 3)*(o - 2)*(o + 1)**2/2
Factor -60*d + 37*d - 2*d**2 - 940 - 146*d - 29*d.
-2*(d + 5)*(d + 94)
Let y(n) be the third derivative of n**7/42 + 175*n**6/12 + 10323*n**5/4 + 24795*n**4/2 - 756