or k(r).
2*(r - 45)*(r - 2)/3
Let b(g) = -2*g + 1. Let u(q) = 9*q**2 - 46*q - q**2 - 3*q**2 - 4*q**2 + 623. Let f(k) = 4*b(k) + 2*u(k). Factor f(r).
2*(r - 25)**2
Suppose 3*n - 27 = -3*s, -6*n - 35 = -5*s - 9*n. Let y(i) be the third derivative of 30*i**2 + 0 - 1/60*i**5 - 1/4*i**s + 0*i - 5/6*i**3. Factor y(q).
-(q + 1)*(q + 5)
Let w(l) = -2*l + 2. Let q(t) = 1. Let p(o) = 4*q(o) - w(o). Let h(b) = -b**2 - 11*b - 11. Let s(r) = 2*h(r) + 11*p(r). Factor s(v).
-2*v**2
Let n = 30899/210 + -5144/35. Determine s so that -1/3*s**3 - 7/6*s + 1/3 - 1/3*s**4 + n*s**5 + 4/3*s**2 = 0.
-2, 1
Let y(b) = 5*b**3 + 85*b**2. Let f(q) be the first derivative of 3*q**4/4 + 43*q**3/3 - 74. Let g(v) = 5*f(v) - 2*y(v). Solve g(p) = 0.
-9, 0
Let b(s) = 5*s**2 - 679*s + 1366. Let y(m) = -2*m**2 - 6. Let n(a) = -3*b(a) - 6*y(a). Suppose n(l) = 0. What is l?
2, 677
Let m = 618 + -618. Suppose m = 31*y + 23*y - 108. Determine o so that 1/2 + 3/2*o**y + 1/2*o**3 + 3/2*o = 0.
-1
Let v(a) = -a + 17. Let p be v(15). Let z be p + 0 + 9 + -6 + -3. Factor -1/7*y + 0 + 1/7*y**z.
y*(y - 1)/7
Factor -28 - 160*f + 9*f**2 + 38*f - 2*f.
(f - 14)*(9*f + 2)
Let s(b) = -b**2 + 8*b + 50. Let a be 69/6 + ((-3)/6 - -1). Let j be s(a). Let -11*k - 4*k**2 + k**2 - k - 14 + 5*k**j = 0. What is k?
-1, 7
Let c = -40498 + 40500. Factor 0*u + 3/2*u**c - 3/2.
3*(u - 1)*(u + 1)/2
Find o, given that 432/7 + 3/7*o**3 + 585/7*o + 156/7*o**2 = 0.
-48, -3, -1
Let v(r) be the first derivative of 17*r**4/3 - 2*r**3/9 - 34*r**2/3 + 2*r/3 + 1130. Determine o, given that v(o) = 0.
-1, 1/34, 1
Let l(o) = o**3 - 9*o**2 + 9*o - 5. Let g = 11 + -3. Let j be l(g). Factor -12*m**j + 4*m**2 + 0*m**2 - 7*m**2.
-3*m**2*(4*m + 1)
Find r, given that 12*r + 299*r**2 - 104*r**2 - 97*r**2 + 4*r - 102*r**2 + 48 = 0.
-2, 6
Factor -88208/7*u**2 + 87616/7*u + 0 + 593/7*u**3 - 1/7*u**4.
-u*(u - 296)**2*(u - 1)/7
Factor 515*z + 189*z - 1004 + 43*z**2 + 906*z - 38*z**2 + 2609.
5*(z + 1)*(z + 321)
Suppose 2*y = -4*m + 32, 3*y + 183 = -5*m + 227. Let o(d) be the first derivative of 0*d + 1/6*d**3 + 1/8*d**m + 26 - 1/2*d**2. Solve o(a) = 0 for a.
-2, 0, 1
Suppose -69*c + 1 = -22*c + 1. Let n(z) be the third derivative of 0*z**3 - 5*z**2 - 1/70*z**7 + 0*z**5 - 1/56*z**8 + 1/40*z**6 + 0*z**4 + 0 + c*z. Factor n(f).
-3*f**3*(f + 1)*(2*f - 1)
Let -83/3*n**3 + 0 + 28*n + 25/3*n**2 - 1/3*n**5 - 25/3*n**4 = 0. What is n?
-21, -4, -1, 0, 1
Suppose 144 = -178*h + 169*h. Let r be (6*(-9)/(-108))/((-10)/h). Factor -r*i**3 + 2/5*i + 0 + 1/5*i**2 - 3/5*i**4.
-i*(i + 1)**2*(3*i - 2)/5
Let l be (120/(-32))/(((-30)/48)/(-5)). Let b be (0 - 2) + (l - -34). Determine w, given that -2/5*w**3 - b*w**2 + 18/5 - 6/5*w = 0.
-3, 1
Let m(i) be the third derivative of 1/20*i**5 + 2*i**3 + 50*i - i**2 - 1/2*i**4 + 0. Factor m(t).
3*(t - 2)**2
Find y such that 300*y**2 + 220*y - 345*y**2 + 15*y**5 + 15*y**5 - 100 + 1204*y**4 - 140*y**3 - 1169*y**4 = 0.
-2, 5/6, 1
Let n = -3483 + 3487. Let a(o) be the first derivative of 3/28*o**n + 4/7*o**3 + 0*o + 9/14*o**2 + 9. Solve a(w) = 0 for w.
-3, -1, 0
Let h be 6/7*(-10)/((-100)/105). Let v be -2*h/(-1 - 62). Suppose v*k**2 - 2 + 12/7*k = 0. Calculate k.
-7, 1
Let c(y) be the second derivative of -5/78*y**4 + 1/130*y**5 + 8/39*y**3 - 7*y - 4/13*y**2 - 3. Find r such that c(r) = 0.
1, 2
Let a = -66 + 72. Let n(f) = -f**3 + 8*f**2 - 8*f + 4. Let t be n(a). Factor 4*b**2 - t*b + b**2 - 3*b**2 + 0*b**2 + 98.
2*(b - 7)**2
Factor 0 - 1484/3*p + 2/3*p**2.
2*p*(p - 742)/3
Factor 76/5*d**2 + 164/5*d + 84/5 - 4/5*d**3.
-4*(d - 21)*(d + 1)**2/5
Let x(c) be the third derivative of -c**8/1008 + c**7/126 + 23*c**6/180 + 2*c**5/9 - c**2 + 5*c - 38. Determine g, given that x(g) = 0.
-4, -1, 0, 10
Let 62 - 30976*c**2 - 2*c**4 - 2*c**4 + 704*c**3 - 151 + 89 = 0. Calculate c.
0, 88
Suppose -5*l - 6*a = -70, 0 = -l - 3*a - 68 + 100. Determine h, given that -14/3*h - 4 - 2/3*h**l = 0.
-6, -1
Factor -1/2*f**3 + 55 + 9*f**2 - 87/2*f.
-(f - 11)*(f - 5)*(f - 2)/2
Let d = 433 - 427. Solve 3*w**2 + 3889*w - 3907*w - 15 - d = 0 for w.
-1, 7
Let l(t) = 9*t**2 + 8*t - 17. Let n = 79 - 77. Suppose -2*j = -2*q - 4*j + 58, -n*q = -4*j - 28. Let k(f) = -f**2 + 1. Let i(a) = q*k(a) + 3*l(a). Factor i(c).
3*(c - 1)*(c + 9)
Suppose -2*a - t + 1 = 0, 2*a + a = -5*t - 9. Let w = 218/3 - 869/12. Solve -1/4*o**3 + w*o + 0 + 1/4*o**a - 1/4*o**4 = 0.
-1, 0, 1
Let d(f) = 5*f**3 + 209*f**2 - 279*f - 9952. Let v be d(-42). Factor 0*b - 111/4*b**4 + 0 - 57*b**3 - 3*b**v.
-3*b**2*(b + 2)*(37*b + 2)/4
Let d(s) be the second derivative of s**4/16 + 29*s**3/8 + 21*s**2/2 - 660*s. Factor d(w).
3*(w + 1)*(w + 28)/4
Suppose 39*x - 185 + 50 + 57 = 0. Let v(l) be the third derivative of 0*l + 0 + 1/150*l**5 + 22*l**x + 3/5*l**3 + 1/10*l**4. Factor v(t).
2*(t + 3)**2/5
Let y(q) = -11*q**3 + 2*q**2 - 4*q + 4. Let s be y(2). Let b = 86 + s. Factor 63*j**b - 126*j**2 + 3*j - 3*j**3 + 72*j**2 - 9.
-3*(j - 3)*(j - 1)*(j + 1)
Suppose 48 = 3*l + 12. Let w be l/7 + (-4)/(-14). Suppose -18*s**2 - 2*s**4 - 10*s**3 - 8*s**2 - 11*s**w + 29*s**2 = 0. What is s?
-4, -1, 0
Let a(y) be the third derivative of -y**8/168 + 157*y**7/21 - 51221*y**6/20 - 51483*y**5/10 - 920*y**2 + 1. Factor a(z).
-2*z**2*(z - 393)**2*(z + 1)
Find c such that 7 - 11/4*c + 1/4*c**2 = 0.
4, 7
Let f(q) = q**5 + 3*q**4 - q + 1. Let n(m) = -4*m**5 - 12*m**4 - 3*m**3 - 11*m**2 - m - 5. Let v(x) = -15*f(x) - 3*n(x). Determine s, given that v(s) = 0.
-3, -1, 0, 2
Suppose 32 = 4*m + 2*t, 2*m + 125 = -2*t + 153. Determine o, given that 15*o**m - 3/2*o**3 - 75/2*o + 0 = 0.
0, 5
Let y(g) be the first derivative of 2*g**3/9 + 70*g**2/3 + 176*g - 11963. Solve y(o) = 0.
-66, -4
Let c(q) be the second derivative of -5/9*q**3 + 0 - 1/36*q**4 - 25/6*q**2 - 3*q. Suppose c(u) = 0. What is u?
-5
Find q, given that 5*q**4 - 20*q**3 - q**4 + 4*q**5 + 2891*q**2 - 5767*q**2 + 2888*q**2 = 0.
-3, 0, 1
Let o(s) be the first derivative of 3*s**5/5 - 6*s**4 + 21*s**3 - 33*s**2 + 24*s - 964. Find f, given that o(f) = 0.
1, 2, 4
Let -v**2 - 1 + 2887*v + 1 - 2599*v - 2*v**2 = 0. Calculate v.
0, 96
Suppose -1741*p + 404*p + 1089 + 1585 = 0. Factor -20/19 - 6/19*b + 2/19*b**p.
2*(b - 5)*(b + 2)/19
Suppose -2*q + z + 16 = 2*q, 4*q = 4*z + 28. Suppose 6*r**3 + 21*r + 18 + 10*r**3 + 2*r**q - 3*r**3 - 54*r**2 = 0. What is r?
-2/5, 1, 3
Let s be ((-2)/2)/(6/(-684) - 0). Suppose -103*o + s*o = 22. Suppose 50/3 + 62/3*r**2 - 170/3*r - o*r**3 = 0. What is r?
1/3, 5
Suppose -1475/2*j**3 - 5/4*j**5 + 2955/4*j + 675 - 65*j**4 - 610*j**2 = 0. What is j?
-36, -15, -1, 1
Let w(d) be the second derivative of 0*d**3 + 0*d**2 + 2 - 25*d - 3/20*d**5 + 5/4*d**4. Solve w(t) = 0.
0, 5
Let k(i) be the second derivative of i + 20/3*i**3 + 8/5*i**5 - 11 + 17/3*i**4 + 0*i**2 + 2/15*i**6. Suppose k(q) = 0. What is q?
-5, -2, -1, 0
Factor 267*a + 27*a + 14*a + a**3 + 82*a**2 + 584 + 244*a + 113*a.
(a + 1)*(a + 8)*(a + 73)
Let k(i) be the first derivative of -4*i**3/3 + 318*i**2 - 12687. Factor k(s).
-4*s*(s - 159)
Let w(y) be the first derivative of -4*y**2 - 2*y**4 + 2*y + 2/5*y**5 + 4*y**3 - 10. Suppose w(u) = 0. Calculate u.
1
Suppose 279*f - 1044*f + 3233 = 938. Factor 12/7 + 0*r - 81/7*r**f - 81/7*r**2.
-3*(3*r - 1)*(3*r + 2)**2/7
Let y(i) be the third derivative of i**7/35 + 71*i**6/30 - 553*i**5/30 + 103*i**4/3 + 68*i**3 - 2*i**2 - 33. Suppose y(k) = 0. What is k?
-51, -1/3, 2
Let z(v) = 248*v**3 - v**2 + 16*v - 29. Let d be z(2). Let q = d - 1981. Suppose 0 + 16/3*k - 8/3*k**q + 1/3*k**3 = 0. What is k?
0, 4
Suppose -18*c - 2 = -38. Let 36*z**2 - 70*z**c - 5 - 6*z + 5 + 31*z**2 = 0. Calculate z.
-2, 0
Let p(z) be the third derivative of -z**5/60 + 29*z**4/24 + 2*z**2 + 208. Find r such that p(r) = 0.
0, 29
Let h(u) = -54*u + 2376. Let k be h(44). Let q(a) be the third derivative of 1/120*a**4 + 23*a**2 - 1/60*a**5 + 0*a + 0*a**3 + k. Factor q(w).
-w*(5*w - 1)/5
Let a = -72 - -52. Let q be (-2)/a - 14/(-35). Factor -q + v - 1/2*v**2.
-(v - 1)**2/2
Let h(m) = -1554*m + 15540. Let k be h(10). Let b(u) be the second derivative of -2*u**3 - 2*u**2 + k + 4/15*u**6 + 47*u + 3/5*u**5 - 1/3*u**4. Factor b(d).
4*(d - 1)*(d + 1)**2*(2*d + 1)
Let h be ((-8)/15*(-30)/42)/(29/(-3) - -10). Let -16/7*x**5 + 52/7*x + 44/7*x**3 - 20/7*x**4 + h + 92/7*x**2 = 0. Calculate x.
