)*(17*i + 2)/11
Suppose 2*p - 72 = -2*p - 2*h, -2*p = -4*h - 16. Determine g so that p*g + 3 - 40*g - 32*g**2 - 14*g**3 - 3 + 16*g = 0.
-2, -2/7, 0
Let a = -9/71605 + 358043/143210. Factor 605/2 + a*t**2 - 55*t.
5*(t - 11)**2/2
Let s(h) be the first derivative of 1/60*h**5 - 10*h**2 + 1/240*h**6 + 1/3*h**3 + 5 - 7/48*h**4 + 0*h. Let j(u) be the second derivative of s(u). Factor j(r).
(r - 1)**2*(r + 4)/2
Let w(q) = 2*q**3 - q**2 - 4*q - 1. Let v be w(2). Factor v*f**4 - 13808 + 15*f**3 + 13814 + 38*f**2 - 11*f**2 + 21*f.
3*(f + 1)**3*(f + 2)
Let q(w) = -7*w**2 + 104*w + 927. Let d(o) = 36*o**2 - 520*o - 4636. Let v(y) = 3*d(y) + 16*q(y). Factor v(j).
-4*(j - 33)*(j + 7)
Let x(l) be the first derivative of l**6/12 + l**5/5 - 3*l**4/2 - 20*l**3/3 - 8*l**2 + 4381. Factor x(t).
t*(t - 4)*(t + 2)**3/2
Factor 1943*h - 317*h + 2*h**3 - 295 + 806*h**2 - 20*h + 171 + 926.
2*(h + 1)**2*(h + 401)
Find x such that -60/7 - 72/7*x**5 - 1510/7*x**2 + 830/7*x**3 + 250/7*x**4 + 562/7*x = 0.
-3, 2/9, 1/4, 1, 5
Let l(t) be the second derivative of t**7/336 - t**6/15 + 41*t**5/160 - 13*t**4/48 + 29*t - 18. Suppose l(a) = 0. What is a?
0, 1, 2, 13
Factor -6*u**3 - 2175*u**2 + 73932 + 4038*u + 8226*u**2 - 73932 - 3*u**3.
-3*u*(u - 673)*(3*u + 2)
Let q(x) be the third derivative of -x**7/840 - x**6/160 + 63*x**5/80 + 405*x**4/32 - 3060*x**2. Solve q(m) = 0.
-9, 0, 15
Suppose 5*u - 10 = 5*w - 25, 4*u - 3*w = -7. Factor -1/2*n**3 + 2*n + 6 - 3/2*n**u.
-(n - 2)*(n + 2)*(n + 3)/2
Let m(l) = 15*l**3 - 280*l**2 + 2750*l - 7835. Let d(y) = -8*y**3 + 138*y**2 - 1377*y + 3917. Let c(o) = -5*d(o) - 3*m(o). Factor c(j).
-5*(j - 16)*(j - 7)**2
Suppose -5*o + 19 = m, -m - 3*o = 2*m - 33. Let k = m - 6. Factor 1675*a**3 - 1676*a**k + 6*a**2 + 2 + 15*a + 6.
-(a - 8)*(a + 1)**2
Let i be 426/(-34) + -49 + 62. Let m(s) be the first derivative of 5/17*s**2 - 2/51*s**3 - i*s - 16. Factor m(u).
-2*(u - 4)*(u - 1)/17
Let l(z) = 16*z**3 - 60*z**2 + 4. Let f(o) = 3*o**3 + 1. Let g = 771 + -772. Let d(u) = g*l(u) + 4*f(u). Factor d(w).
-4*w**2*(w - 15)
Let z(p) be the first derivative of -4*p**5/25 - 63*p**4/10 + 374*p**3/5 - 952*p**2/5 - 1248*p/5 + 1242. What is y in z(y) = 0?
-39, -1/2, 4
Let r = -1200 + 1835. Let f = r + -10791/17. Let -f*k - 6/17*k**2 + 0 + 4/17*k**3 = 0. What is k?
-1/2, 0, 2
Let y(g) be the third derivative of -g**6/24 - 5*g**5/12 + 15*g**4/2 - 626*g**2 - 1. Factor y(i).
-5*i*(i - 4)*(i + 9)
Suppose -76*m + 52 = 3*q - 71*m, -4*m = -32. Factor 81/5 - 108/5*l + 54/5*l**2 + 1/5*l**q - 12/5*l**3.
(l - 3)**4/5
Let c(a) = a**2 - 5*a. Let q(l) = 3*l**2 - 23*l + 40. Let y(m) = -2*c(m) + q(m). Factor y(n).
(n - 8)*(n - 5)
Let t(y) be the first derivative of -5*y**7/42 + y**5 - 5*y**4/6 - 5*y**3/2 + 5*y**2 + 10*y - 18. Let p(o) be the first derivative of t(o). Factor p(z).
-5*(z - 1)**3*(z + 1)*(z + 2)
Let w(u) be the third derivative of u**6/1890 - u**5/252 + u**4/126 - 11*u**3/6 - 67*u**2. Let g(v) be the first derivative of w(v). Factor g(j).
2*(j - 2)*(2*j - 1)/21
Let v = 446 - 436. Let c(j) be the first derivative of 8/3*j**3 - 8*j + j**4 - 2*j**2 - v. Determine f, given that c(f) = 0.
-2, -1, 1
Let t = -15477/2 + 7741. Let u(n) be the first derivative of -t*n**2 + 2*n**3 - 6*n + 11 + 5/4*n**4. Determine g, given that u(g) = 0.
-6/5, -1, 1
Let o be (17 + (-165)/10)*((-63)/27 - -3)*2. Factor 8/3*j**3 + 56/3 - 14*j**2 + 8/3*j + o*j**4.
2*(j - 2)**2*(j + 1)*(j + 7)/3
Let -340 + 580*y - 112*y + 87*y**2 + 484 + 396 - 3*y**4 - 12*y**3 = 0. What is y?
-5, -3, -2, 6
Suppose 149*k = 146*k + 72. Find g, given that -k*g**2 - 12*g**4 + 3*g**3 + 7*g**3 - 28*g**3 - 2*g**5 + 16*g**2 = 0.
-4, -1, 0
Let j(s) be the third derivative of s**5/60 + 13*s**4/8 + 112*s**3/3 + 50*s**2 + 54*s. Let j(a) = 0. What is a?
-32, -7
Let o be (-144 - 10)/(-11) - (-1 + -2). Determine x so that -6*x**4 - 33*x**3 + 20*x**3 + 96*x - 6*x**4 - 46*x**3 - o*x**3 - 88*x**2 = 0.
-4, -3, 0, 2/3
Let f = 3 - 17. Let n = f + 72/5. Suppose -8/5*k - n*k**3 + 0 + 8/5*k**2 = 0. Calculate k.
0, 2
Let s(o) be the first derivative of -68*o**5/5 - 106*o**4 - 32*o**3 - 4998. Let s(r) = 0. What is r?
-6, -4/17, 0
Let l(z) be the first derivative of -49*z**6/24 - 1351*z**5/20 - 7375*z**4/16 - 4383*z**3/4 - 729*z**2 - 189*z - 2875. Solve l(w) = 0.
-21, -3, -2/7
Suppose -8 = -x + 3*z, -3*z - z = -2*x + 12. Suppose -2387*g - 3*g**5 + 63*g**3 + 15*g**4 - 21*g**x + 90*g**2 + 2411*g = 0. What is g?
-1, 0, 8
Let k(g) be the second derivative of -g**7/14 + 39*g**6/10 - 333*g**5/20 + 109*g**4/4 - 18*g**3 - 840*g. Factor k(i).
-3*i*(i - 36)*(i - 1)**3
Let j(t) be the third derivative of -t**5/12 - 25*t**4/24 + 260*t**3/3 - 380*t**2. Factor j(q).
-5*(q - 8)*(q + 13)
Suppose 1918 = 33*r - 79*r + 1005*r. Factor 4/13*s + 2/13 + 2/13*s**r.
2*(s + 1)**2/13
Let b = 37423/49908 + 2/12477. Let q(w) be the second derivative of 3/2*w**3 - 3/2*w**2 - 22*w + 0 - b*w**4 + 3/20*w**5. Let q(x) = 0. What is x?
1
Let u(i) = i**2 - 136*i - 401. Let d(r) = 7*r**2 - 815*r - 2404. Let s(g) = 8*d(g) - 52*u(g). Factor s(t).
4*(t + 3)*(t + 135)
Let o(k) be the third derivative of -2/35*k**7 + 0*k**3 + 27 + 0*k - 25/3*k**4 + 11/60*k**6 + k**2 + 2*k**5 - 1/168*k**8. Factor o(b).
-2*b*(b - 2)**2*(b + 5)**2
Let s = 110 - 65. Let q = 49 - s. Factor 2*n**2 + 4*n + q*n - 21*n + 3*n.
2*n*(n - 5)
Let t(g) be the second derivative of 14/27*g**3 - 2 - 4/9*g**2 - 1/3*g**4 - 2/135*g**6 + 1/9*g**5 + 51*g. What is x in t(x) = 0?
1, 2
Let r(a) be the second derivative of -3*a**5/20 + 11*a**4 - 118*a**3 + 456*a**2 + 6908*a. Factor r(t).
-3*(t - 38)*(t - 4)*(t - 2)
Let h(r) = 6*r**2 - 11*r**2 + 2*r**2 + 0*r**2 + 28 + 3*r. Let t(g) = g**2 + 2*g. Let k(y) = h(y) + 4*t(y). Factor k(f).
(f + 4)*(f + 7)
Let j(f) be the second derivative of -1/6*f**4 - 1/120*f**6 + 17*f + 1/6*f**3 + 0*f**2 - 3 + 1/16*f**5. Find m, given that j(m) = 0.
0, 1, 2
Let m be 15/(-4) + 4 + 69/12. Factor m*g**3 + 4*g**3 + 3*g**4 + 139*g**2 - 142*g**2 - 9*g - g**3.
3*g*(g - 1)*(g + 1)*(g + 3)
Let g(r) be the first derivative of 0*r**2 - 1/12*r**4 + 2*r**3 - 1/1080*r**6 - 1 - 1/72*r**5 + 0*r. Let h(y) be the third derivative of g(y). Factor h(z).
-(z + 2)*(z + 3)/3
Let b = 1170 - 1173. Let w be (-105)/((-96)/(-40) + b). Factor -625/3*f**3 + 4/3 + 32*f + w*f**2.
-(f - 1)*(25*f + 2)**2/3
Let q(t) be the first derivative of 0*t + 3/5*t**3 + 6 + 3/20*t**4 + 3/5*t**2. Factor q(z).
3*z*(z + 1)*(z + 2)/5
Let k = 13724901/7 - 1960665. Let 15 + 3/7*t**4 + 6*t**3 + k*t + 180/7*t**2 = 0. Calculate t.
-7, -5, -1
Let p(v) be the third derivative of v**7/105 + 23*v**6/60 + 19*v**5/15 - 23*v**4/3 - 56*v**3 + 1473*v**2. Factor p(b).
2*(b - 2)*(b + 2)**2*(b + 21)
Factor 0 - 352/5*n**2 - 7744/5*n - 4/5*n**3.
-4*n*(n + 44)**2/5
Suppose 0 = 58*n - 151*n + 78*n + 60. Let s(w) be the second derivative of -2 - 2*w**3 + 16*w - 4*w**2 - 1/3*w**n. Factor s(h).
-4*(h + 1)*(h + 2)
Let z be (-5)/1 - (0 + (-258390)/(-65)). Let m = 3983 + z. Factor 0*i - 10/13*i**4 - 4/13*i**3 + 0*i**2 + 0 + m*i**5.
2*i**3*(2*i - 1)*(9*i + 2)/13
Let x(b) be the second derivative of 1/252*b**7 + 39*b - 7/180*b**6 + 7/72*b**4 + 2/9*b**3 - 3/40*b**5 - 3 + 0*b**2. Let x(a) = 0. Calculate a.
-1, 0, 1, 8
Let g be (-14)/49*(-7 + ((-7350)/112)/(-15)). Find u such that g*u**4 + 9/4 - 3/8*u**5 - 15/8*u - 3*u**2 + 9/4*u**3 = 0.
-2, -1, 1, 3
Suppose -50*y + 14*y - 3*y**3 - 18 + 17*y + 8*y + 12*y**2 + 8*y = 0. What is y?
-1, 2, 3
Let b = -2385015/13 + 183463. What is v in -2/13*v**3 - b*v**2 + 0*v + 0 + 2/13*v**5 + 4/13*v**4 = 0?
-2, -1, 0, 1
Determine s so that 9/4*s**2 + 11/4*s - 57/2 = 0.
-38/9, 3
Let l(f) be the third derivative of f**7/420 - f**6/30 - f**5/6 + 6*f**4 - 48*f**3 + f**2 - 18*f. Determine s, given that l(s) = 0.
-6, 4, 6
Let p be (-1851 - -1842) + (0 - -11). Factor 26/5*v + p*v**3 + 4/5 + 32/5*v**2.
2*(v + 1)*(v + 2)*(5*v + 1)/5
Let c be (-11816)/31017*(-3)/2. Factor -72*z + c*z**2 + 2268.
4*(z - 63)**2/7
Let h(y) = 43*y**3 - 1310*y**2 + 1424*y - 212. Let f(i) = 9*i**3 - 262*i**2 + 285*i - 42. Let c(p) = -22*f(p) + 4*h(p). Suppose c(z) = 0. Calculate z.
2/13, 1, 19
Let u = -436 - -438. Solve 66 - 26*v**2 - 39*v + 27*v**3 - 3*v**4 + 15*v**3 - 37*v**u - 3*v**3 = 0 for v.
-1, 1, 2, 11
Suppose 267*k + 1 - 3 + 2 = 0. Let y(i) be the third derivative of 14*i*