 + j**5 + 80*j + 7*j**t = 0 for j.
-4, -2, 2
Let c(g) be the third derivative of -g**6/140 + g**5/20 - g**4/56 - 5*g**3/7 + 3*g**2 + 50*g - 2. Determine y, given that c(y) = 0.
-1, 2, 5/2
Let s(r) be the second derivative of r**7/168 - r**6/120 - 21*r**5/80 + 41*r**4/48 - 5*r**3/6 + 2839*r. Factor s(j).
j*(j - 4)*(j - 1)**2*(j + 5)/4
Let j(v) = v**2 + 5*v - 12. Let g be j(-7). Factor 8 - 10*c - 3 - 5 - 5*c**g.
-5*c*(c + 2)
Let z(f) = -45*f - 28. Let x be z(-6). Factor 2*j - j**4 - 242 + 3*j**2 + x.
-j*(j - 2)*(j + 1)**2
Suppose -16*m + 18*m - 32 = -4*d, -2*d = 4. Let h be ((-3)/(-2))/((-4)/(-8)). Factor -2*a**4 + m*a**2 + 23*a + 4*a**h + 18*a - 2*a**4 - 29*a.
-4*a*(a - 3)*(a + 1)**2
Let s(g) be the first derivative of -5*g**3/3 - 115*g**2/2 - 210*g - 1487. Determine v, given that s(v) = 0.
-21, -2
Let s(n) be the first derivative of 4*n**5/5 - 8*n**4 - 76*n**3/3 - 20*n**2 + 3404. Factor s(x).
4*x*(x - 10)*(x + 1)**2
Let m(p) be the first derivative of p**4/18 - 548*p**3/27 - p**2/9 + 548*p/9 - 27. Factor m(c).
2*(c - 274)*(c - 1)*(c + 1)/9
Let i(u) = 37*u**2 + 108*u - 106. Let l(v) = 172*v**2 + 540*v - 530. Let b(f) = -14*i(f) + 3*l(f). Factor b(p).
-2*(p - 53)*(p - 1)
Let p be (5330/150)/((-10)/6 + 2). Let a = 537/5 - p. Factor 0*q - a*q**2 + 0 - 2/5*q**3.
-2*q**2*(q + 2)/5
Let h(i) be the first derivative of i**6/24 - 11*i**5/20 + 21*i**4/16 + 59*i**3/12 - 35*i**2/4 - 2918. Let h(p) = 0. Calculate p.
-2, 0, 1, 5, 7
Let q(j) be the third derivative of j**7/6 + 13*j**6/6 - 49*j**5/6 + 5*j**4/2 + 45*j**3/2 - 3243*j**2. Factor q(s).
5*(s - 1)**2*(s + 9)*(7*s + 3)
Let d(f) = -f + 19. Let l be d(12). Let o be (l/(-2))/(((-15)/8)/15). Let -20*c**2 + 93*c**3 - 25*c**4 - o*c**3 + 5*c**5 - 25*c**3 = 0. What is c?
0, 1, 2
Suppose 4*u = -1 - 15. Let x be u/46 + (-2479)/(-10787). Factor 0 + x*l - 1/7*l**2.
-l*(l - 1)/7
Suppose -23*m = -2*o - 27*m + 16, -3*o - 2*m = -16. Factor 0 - 2/11*r**2 - 2/11*r**3 + 2/11*r + 2/11*r**o.
2*r*(r - 1)**2*(r + 1)/11
Suppose -3688*n + 3656*n = -64. Factor 0*v**3 - 1/7*v**4 + 3/7 + 8/7*v + 6/7*v**n.
-(v - 3)*(v + 1)**3/7
Let 70 + 19/2*i + 1/4*i**2 = 0. What is i?
-28, -10
Let a = 100819/22610 - 267/4522. Suppose a*r**3 - 8*r + 2/5*r**4 + 0 + 16/5*r**2 = 0. What is r?
-10, -2, 0, 1
Suppose 13182*u - 13264*u = 0. Factor 3/5 + u*r - 3/5*r**2.
-3*(r - 1)*(r + 1)/5
Let i(h) be the first derivative of h**6/75 - 7*h**5/50 - h**4/10 + 11*h**3/3 + 10*h**2 - 97*h + 73. Let d(u) be the first derivative of i(u). Factor d(w).
2*(w - 5)**2*(w + 1)*(w + 2)/5
Let f be (-14)/18*(-1032)/12040. Let a(g) be the second derivative of 0 + f*g**6 + 0*g**3 + 3/10*g**5 + 0*g**2 + 1/3*g**4 - 25*g. Factor a(w).
2*w**2*(w + 1)*(w + 2)
Factor 0*u + 3/8*u**4 + 9/8*u**3 - 3/2*u**2 + 0.
3*u**2*(u - 1)*(u + 4)/8
Find w such that 96/7*w**2 - 136/7*w**3 - 10/7*w**4 - 32 + 544/7*w = 0.
-14, -2, 2/5, 2
Let z = 27 - 24. Suppose -3*u = -z*i + 6, 0 = -2*i + 5*i - 15. Factor -12*x**3 + 7*x**u + 24*x**2 - 4*x**2 - 15*x.
-5*x*(x - 3)*(x - 1)
Let c(b) = 6*b**3 - 190*b**2 + 156*b + 7. Let j(k) = 666 - 67*k**2 + 78*k - 663 + 37*k**2 + 3*k**3 - 63*k**2. Let i(d) = 3*c(d) - 7*j(d). Factor i(m).
-3*m*(m - 26)*(m - 1)
Let o(f) be the third derivative of -961/30*f**3 - 90*f**2 - 1/300*f**5 + 0 + 0*f - 31/60*f**4. Factor o(r).
-(r + 31)**2/5
Let u(m) be the second derivative of 1/15*m**6 - 44/9*m**4 + 1/63*m**7 + 0 - 80/3*m**2 - 8/15*m**5 - 16*m**3 - 21*m. Factor u(b).
2*(b - 5)*(b + 2)**4/3
Let b = 2840 + -2824. Let t(u) be the first derivative of -7/2*u**4 - 20*u**2 - 2/5*u**5 - b*u + 11 - 12*u**3. Factor t(w).
-2*(w + 1)*(w + 2)**3
Let c(z) = -20*z - 36. Let p be c(-2). Factor -p*f - 15*f**3 + 8*f + 6*f**2 + 5*f**3.
-2*f*(f - 1)*(5*f + 2)
Find n, given that 108 - 452/3*n**4 - 38/3*n**5 - 668*n**3 - 1296*n**2 - 882*n = 0.
-3, 2/19
Let y = -337/4 - -4227/4. Let r = -972 + y. Determine z so that 0 + r*z**2 - z = 0.
0, 2
Find b such that 500*b - 10*b**4 + 179*b**3 - 924*b**2 + 6*b**4 - 7*b**3 + 517*b + 315*b = 0.
0, 3, 37
Suppose 274*g - 284*g = 180. Let x be 144/126*1/g*-28. Factor x*l**4 - 6*l + 0*l**2 + 2/9*l**5 + 4*l**3 + 0.
2*l*(l - 1)*(l + 3)**3/9
Let i(z) be the first derivative of 5*z**3/3 - 285*z**2/2 - 3740*z + 4809. Find y, given that i(y) = 0.
-11, 68
Suppose 29*w + 8 = -12 + 78. Let f(i) be the third derivative of -1/150*i**5 + 2/15*i**3 - 1/60*i**4 + 0*i + 29*i**w + 0. Solve f(a) = 0.
-2, 1
Let p(n) be the second derivative of -n**4/126 + 6334*n**3/63 - 10029889*n**2/21 + 15494*n. Factor p(c).
-2*(c - 3167)**2/21
Let g = -3/14843 + 89073/74215. Solve g - 3/5*h - 6/5*h**2 + 3/5*h**3 = 0.
-1, 1, 2
Let w(f) be the third derivative of -f**6/270 - 13*f**5/54 + 101*f**4/108 - 34*f**3/27 + 454*f**2. Find h such that w(h) = 0.
-34, 1/2, 1
Suppose 0 = -2*x - 3*x + w + 19, 4*x + 24 = -9*w. Solve -87/7*p + 33/7*p**x - 72/7*p**2 + 18/7 = 0.
-1, 2/11, 3
Let -382/5*r - 6/5*r**4 - 362/5*r**3 - 252/5 + 1002/5*r**2 = 0. Calculate r.
-63, -1/3, 1, 2
Let b be ((-8)/(-8))/(1/4*2). Suppose -2*h + 10 = 2. Suppose u**3 + 0*u**3 + 2*u**4 - 7*u**3 - 22*u**2 + b*u**5 + h*u + 20*u**2 = 0. Calculate u.
-2, -1, 0, 1
Suppose h + 7 - 8 = 0. Let k be (14/21)/(h + (-37)/39). Factor k*y**5 - y**5 - 24*y**2 + 32*y**4 - 3 + 16*y**3 - 33*y + 5*y - 5.
4*(y - 1)*(y + 1)**3*(3*y + 2)
Suppose -3*f + 33 = 4*l - 8*f, -4*f = -12. Suppose -l = -3*k, -3*k = 3*v + 32 - 44. Let v*c**2 + 0*c - 2/9*c**4 + 0 + 2/9*c**3 = 0. What is c?
0, 1
Let i(r) be the third derivative of -r**7/42 - 59*r**6/24 - 435*r**5/4 - 21375*r**4/8 - 39375*r**3 + 2043*r**2. Solve i(v) = 0.
-15, -14
Let z = 48508/72753 + -2/24251. Find g such that -z*g**4 + 0*g + 1/6*g**3 + 1/6*g**5 + g**2 + 0 = 0.
-1, 0, 2, 3
Let n(z) be the first derivative of 5*z - 1/6*z**4 - 1/3*z**3 + 3 + 2*z**2. Let i(g) be the first derivative of n(g). Suppose i(c) = 0. What is c?
-2, 1
Let f(j) = -8*j**4 + j**3 - 2*j**2 - 3. Let c(k) = 39*k**4 - 23*k**3 - 43*k**2 + 60*k + 267. Let b(z) = -c(z) - 5*f(z). Solve b(w) = 0.
-14, -3, 2
Let 144*j**2 - 18932 + 18932 - 4*j**3 = 0. Calculate j.
0, 36
Let b(z) be the first derivative of 97*z**3 + 27*z - 66*z**4 + 48/5*z**5 + 99*z**2 + 45. Factor b(l).
3*(l - 3)**2*(4*l + 1)**2
Let g = 1 - -6. Let x(n) = 6*n**2 + 3*n + 1. Let w be x(-1). Let -31*c**w - 31*c**2 + 4*c + g*c**2 + 36*c**3 + 15*c**4 = 0. Calculate c.
0, 1/4, 1
Let t = 7 - -3. Let b be (1 + -3)*(8 - t). Factor 12*a + 3*a**2 + 6*a**3 + 3*a**b - 12*a.
3*a**2*(a + 1)**2
Let t(f) = 1033*f + 6200. Let d be t(-6). Let a(u) be the first derivative of 1/2*u**d + 1/8*u**4 - 4 + 4*u - 5/6*u**3. What is g in a(g) = 0?
-1, 2, 4
Let i = 282421 + -282419. Let -4 - 2/5*x**i - 22/5*x = 0. What is x?
-10, -1
Let n be -12 + -2 + 22 + -5. Let r(v) be the first derivative of 1 + 5*v**2 + 5/3*v**n + 5*v. Determine x, given that r(x) = 0.
-1
Let d(s) = -3*s**5 - s**2 + s. Let f(z) = 48*z**5 - 986*z**4 + 2636*z**3 - 1682*z**2 + 234*z. Let t(l) = -6*d(l) - f(l). Find n, given that t(n) = 0.
0, 1/5, 2/3, 2, 30
Let y(x) be the first derivative of -x**7/126 + 11*x**6/90 - x**5/6 - 138*x - 59. Let h(a) be the first derivative of y(a). Find l, given that h(l) = 0.
0, 1, 10
Let i = 127524 - 892560/7. Let i*f - 2*f**2 + 32/7 = 0. What is f?
-2/7, 8
Suppose 5*w + 574 = 3*w. Let v = w + 289. Factor -3/2*n**v + 0*n + 3/2.
-3*(n - 1)*(n + 1)/2
Let j = 300693 + -1503444/5. Solve -183/5*b + 54/5 - j*b**2 = 0.
-9, 2/7
Let x be 14/(252/90) - (-7)/(-4). Let n(f) be the first derivative of -1/10*f**5 - x*f**2 - 21 - 5/2*f**3 - 7/8*f**4 - 2*f. Solve n(c) = 0.
-4, -1
Let m(b) = -b**5 - b + 2. Let j(l) = 25*l**4 - 35*l**3 - 145*l**2 + 145*l + 10. Let d(q) = j(q) - 5*m(q). Let d(k) = 0. Calculate k.
-5, -3, 0, 1, 2
Factor -335*i - 663*i + 162*i**2 + 968 + 117*i + 109*i - 20*i.
2*(9*i - 22)**2
Let k(r) = 31*r**2 + 3*r - 2. Suppose -5*g + 3 = -s + 4*s, 3*g + 5 = 5*s. Let n be k(s). Solve -17*w - 36*w - 4*w**2 + 4*w**4 + 21*w + n*w**3 = 0 for w.
-8, -1, 0, 1
Let w be (6403/(-21))/((-9)/27) - -4. Let s = 921 - w. Factor -12/7*m + s*m**2 - 4/7.
4*(m - 1)*(4*m + 1)/7
Determine j, given that 9/4*j + 1/4*j**2 + 7/2 = 0.
-7, -2
Let q(x) be the third derivative of 0*x + 1/40*x**6 + 0 - 2/5*x**5 - 24*x**3 - 77*x**2 - 11/2*x**4. Determine v so that q(v) = 0.
-2, 12
Suppose -7 - 5 = -4*t. Let c be (-29)/(-1) + 389 +