6569*w**3/6 + w**2 - 2*w + 450. Factor y(t).
(t - 1)*(t + 2)*(t + 163)**2/2
Let r = -9144 + 9147. Let d(m) be the third derivative of 0*m + 0*m**r + 1/4*m**4 + 3/20*m**5 + 1/40*m**6 - 2*m**2 + 0. Let d(i) = 0. Calculate i.
-2, -1, 0
Let b(k) = 2*k**4 + k**3 + k**2 - 2. Let u(a) = 3*a**4 + 28*a**3 - 42*a**2 - 104*a + 188. Let i(d) = 2*b(d) - u(d). Factor i(r).
(r - 24)*(r - 2)**2*(r + 2)
Let q = -12 + 16. Let o(c) be the third derivative of -1/12*c**3 + 1/120*c**5 + 0*c**q + 0*c - 6*c**2 + 0. Factor o(n).
(n - 1)*(n + 1)/2
Suppose 5*a = 4*w + 16, 9*w - 5*w + 16 = -5*a. Let q(m) be the third derivative of 0*m + 9/2*m**3 + 21*m**2 - 3/8*m**4 + a + 1/80*m**5. Factor q(c).
3*(c - 6)**2/4
Let b = -11/10253 + 71793/20506. Factor -2 + 3/4*g**3 - b*g**2 + 5*g.
(g - 2)**2*(3*g - 2)/4
Let m = 34 + -32. Suppose 2*x - m*k = -3*x + 28, 0 = -5*x - 3*k + 8. Factor 15*u**4 + u**3 - 11*u**3 - 8*u**4 - 8*u - 9*u**x - 16*u**2.
-2*u*(u + 1)*(u + 2)**2
Let r(w) be the first derivative of w**6/24 + w**5/2 - 55*w**4/8 + 15*w**3 + 405*w**2/8 - 459*w/2 - 715. Determine t so that r(t) = 0.
-17, -2, 3
Solve -33/4*h**3 - 3/2 + 49/4*h + 26*h**4 - 49/2*h**2 - 4*h**5 = 0.
-1, 1/4, 1, 6
Let s be 532/49 + (40/35 - 1). Let d(i) be the third derivative of 0*i + 0*i**6 + s*i**2 + 1/130*i**5 - 1/1365*i**7 + 1/78*i**4 + 0 + 0*i**3. Factor d(n).
-2*n*(n - 2)*(n + 1)**2/13
Let a(z) be the second derivative of z**6/15 + 511*z**5/15 - 1198*z**4/9 + 1714*z**3/9 - 343*z**2/3 - 3506*z. Determine u, given that a(u) = 0.
-343, 1/3, 1
Let u = 17 + 5. Let m = u + 20. Determine v, given that 8*v - m*v**2 + 4*v - 36 + 41*v**2 = 0.
6
Let x(n) be the second derivative of -25*n**7/36 + 131*n**6/60 + 91*n**5/120 - 397*n**4/72 + 7*n**3/3 + n**2/3 - 101*n - 7. Find s such that x(s) = 0.
-1, -1/25, 2/7, 1, 2
Let z(d) = d**3 - 10*d**2. Let r be z(10). Suppose 5*p - 4 - 21 = r. What is u in 2*u**2 - 7*u**2 + 10*u**3 + p - 26*u + 16*u = 0?
-1, 1/2, 1
Let l(p) be the second derivative of 0*p**2 + 1 + 41*p + 1/2*p**4 + 0*p**5 - 2/3*p**3 - 1/15*p**6. Factor l(g).
-2*g*(g - 1)**2*(g + 2)
Let -1/3*v**2 - 25 - 28/3*v = 0. What is v?
-25, -3
Let c(s) be the first derivative of s**5/30 - 7*s**4/3 - 20*s**3 - 184*s**2/3 - 248*s/3 + 695. Factor c(x).
(x - 62)*(x + 2)**3/6
Suppose -19*j = -53*j + 102. Suppose -4*i + 2*w + 4 = 0, 15*w - 16*w = -3*i + 3. Suppose -17/4*g**2 + i + 7/2*g + 9/8*g**j = 0. Calculate g.
-2/9, 2
Let d(f) be the first derivative of f**7/70 + 11*f**6/150 + 3*f**5/20 + 3*f**4/20 + f**3/15 + 64*f - 85. Let i(a) be the first derivative of d(a). Factor i(w).
w*(w + 1)**3*(3*w + 2)/5
Factor 538*u**3 - 540*u**3 - 198*u**2 - 76800*u + 974*u**2 + 294912.
-2*(u - 192)**2*(u - 4)
Factor 58/5*g**2 + 2/5*g**3 - 58/5 - 2/5*g.
2*(g - 1)*(g + 1)*(g + 29)/5
Let c = -5170064/7 - -738584. What is b in -27/7*b**2 + 6/7*b + c + 3/7*b**4 - 6/7*b**3 = 0?
-2, -1, 1, 4
Factor 1/9*g**2 + 1309/9 + 194/9*g.
(g + 7)*(g + 187)/9
Factor -15 - 1/6*j**3 - 41/2*j - 17/3*j**2.
-(j + 1)*(j + 3)*(j + 30)/6
Find g such that -13*g**5 - 15*g**5 - 8*g**5 + 384 - 267*g**3 - 354*g**2 - 16*g**4 + 264*g - 14*g**4 + 39*g**5 = 0.
-4, -2, -1, 1, 16
Let s(y) = -3*y**2 + 1108*y - 367. Let w be s(369). Suppose 2/19*m**w + 72/19*m + 648/19 = 0. Calculate m.
-18
Let r(t) = -t**2 - 7*t + 8. Let j be r(-8). Suppose j = 8*w - 0 - 24. Factor -y + w*y**2 + 5*y - 6*y**3 - 7*y**2 + 7*y**3.
y*(y - 2)**2
Let s(u) = -37*u**3 - 3*u**2 + 3*u + 9. Let m be s(-3). What is p in -5*p**2 + 14*p**2 + 111*p - 3*p + m - 6*p**2 = 0?
-18
Let q be (1/(((-169)/(-13))/(-52)))/(-2). Let 30*k**q + 9000 + 1/3*k**3 + 900*k = 0. What is k?
-30
Let i(l) = 15738*l + 78690. Let g be i(-5). Factor 0*n**3 + 4/3*n + 2*n**2 + g - 2/3*n**4.
-2*n*(n - 2)*(n + 1)**2/3
Let c be 1/(32/52) - (-9)/24. Factor 890 + 30*t + 35*t**c - 890 - 5*t**4.
-5*t*(t - 3)*(t + 1)*(t + 2)
Let m(d) be the second derivative of 2/3*d**4 + 21/2*d**2 - 32*d + 0*d**3 + 0 - 1/15*d**5. Let i(g) be the first derivative of m(g). Let i(f) = 0. Calculate f.
0, 4
Suppose -8*f + 15*f = -20*f + 81. Let q(n) be the first derivative of 0*n - 2/9*n**f + 8 - 1/3*n**2. Factor q(j).
-2*j*(j + 1)/3
Let n(f) = -3*f**2 + 117*f - 972. Let k be -5*(112/(-20) - -5). Let a(y) = -3*y. Let u(h) = k*a(h) + n(h). Factor u(w).
-3*(w - 18)**2
Let u(c) be the third derivative of -1/300*c**6 + 21*c**2 + 3*c - 13/120*c**4 + 0 + 1/3*c**3 - 13/300*c**5. Factor u(l).
-(l + 2)*(l + 5)*(2*l - 1)/5
Factor -1 + 167/3*b**3 + 173/3*b - 337/3*b**2.
(b - 1)**2*(167*b - 3)/3
Let m(u) be the first derivative of -17*u**3/4 - 231*u**2/2 - 27*u - 1762. Factor m(j).
-3*(j + 18)*(17*j + 2)/4
Factor 72*l**2 - 131029*l + 131431*l - 195 - 2*l**3 + 523.
-2*(l - 41)*(l + 1)*(l + 4)
Let q(v) be the first derivative of 2*v**3/3 + 437*v**2 + 1740*v - 966. Factor q(p).
2*(p + 2)*(p + 435)
Let g(b) be the first derivative of 2*b**3/39 - 248*b**2/13 + 38*b + 9425. Suppose g(n) = 0. What is n?
1, 247
Let q(o) = 3*o**2 - 73*o + 113. Let c be q(23). Let i(z) be the third derivative of c*z**2 - 1/20*z**5 + 0 + 0*z**4 + 0*z**3 + 0*z. What is m in i(m) = 0?
0
Factor -181 + 30*n - 42 - 20*n**3 + 228*n + 38*n**2 + 115.
-2*(n + 3)*(2*n - 9)*(5*n - 2)
Let m(j) be the second derivative of -5*j**4/66 + 49*j**3/11 - 58*j**2/11 - 729*j. Factor m(a).
-2*(a - 29)*(5*a - 2)/11
Let u be 46/10 + 45/(-75). Let -6*l**3 + l**2 + 11*l + 9*l**3 - 14*l - l**u = 0. Calculate l.
-1, 0, 1, 3
Let z(c) = c**3 + 5*c**2 - 3*c - 26. Let v be z(-4). What is l in -165*l**4 - 34*l**2 + 45*l**5 + 16*l**v + 10*l - 32*l**2 + 185*l**3 - 25*l**2 = 0?
0, 1/3, 1, 2
Let l(t) = t**3 - 23*t**2 - 14*t + 44. Let c(q) = -6*q - 30. Let h be c(-9). Let n be l(h). Find s, given that 175 + 10*s**3 + 176*s + 82*s**2 - n + 141 = 0.
-4, -1/5
Let v be 5 - ((-3 - -2) + 11 + -10). Suppose -z - 4*w - 11 = 2, v*w - 7 = -9*z. Factor 2*y**2 + y**4 - 8/3*y**z - 1/3 + 0*y.
(y - 1)**3*(3*y + 1)/3
Factor -3828 - 46*t**2 + 47*t**2 - 329*t + 3498.
(t - 330)*(t + 1)
Let -55*a**3 + 96 + 105*a**2 + 3*a**4 + 34*a**2 + 146*a**2 - 78*a**2 - 5*a**3 - 246*a = 0. Calculate a.
1, 2, 16
Let u(k) be the second derivative of -k**7/84 + 7*k**6/30 - 3*k**5/2 + 53*k**4/12 - 83*k**3/12 + 6*k**2 - 2701*k. What is q in u(q) = 0?
1, 3, 8
Let s(f) be the second derivative of -3*f**5/140 + 5*f**4/28 + 11*f**3/7 - 12*f**2 + 863*f. Determine o so that s(o) = 0.
-4, 2, 7
Suppose -100*h = -43*h - 627. Suppose -8 + 2 = -3*o. Factor 2*b + h*b + 0*b - o*b**2 + b.
-2*b*(b - 7)
Suppose -n - o = 2, -3*n + 104*o - 108*o - 10 = 0. Factor -8/7*v**n + 8/7*v + 2/7*v**3 + 0.
2*v*(v - 2)**2/7
Find r, given that 572 + 56*r**2 + 108*r - 297 + r**3 - 275 = 0.
-54, -2, 0
Suppose 116*l = i + 113*l - 483, 3*i - 1469 = -l. Let u = 493 - i. Factor 0*y**u - 2/13*y**5 - 2/13*y + 0*y**2 + 4/13*y**3 + 0.
-2*y*(y - 1)**2*(y + 1)**2/13
Let b be (252/35)/1*(-15)/(-9). Suppose -10*s = b*s + 3*s. Factor 8/15*v**4 + 0 + 0*v**2 + 2/15*v**3 + s*v.
2*v**3*(4*v + 1)/15
Let n = 12615 - 12613. Let l(f) be the first derivative of 18 + 0*f + 27/4*f**n - 3*f**3 + 3/8*f**4. Suppose l(q) = 0. Calculate q.
0, 3
Let d(t) be the second derivative of 2*t**6/3 + 4*t**5/5 - 7*t**4 - 32*t**3/3 + 8*t**2 - t + 501. Suppose d(b) = 0. Calculate b.
-2, -1, 1/5, 2
Determine d so that -3/5*d**3 - 18 - 51/5*d + 36/5*d**2 = 0.
-1, 3, 10
Suppose 5*n - 28 = 2*l, 34 = 3*n - 4*n - 4*l. Let m be ((-3)/21*-8)/((-18)/(-21)). Find a, given that 0*a**n - m*a**4 + 0 + 4/3*a**3 + 0*a = 0.
0, 1
Let c = -62 - -65. Let s(f) = -5*f + 17. Let n be s(c). Factor 0*g + 0 - 3/2*g**n + 3*g**3.
3*g**2*(2*g - 1)/2
Find b such that -104/3*b**2 + 20*b**3 + 0 - 4/3*b**4 + 0*b = 0.
0, 2, 13
Determine y so that 24*y**2 + 27*y**2 - 74*y**2 - 17*y + 24*y**2 - 172 - 22*y = 0.
-4, 43
Suppose -5*t + 4*t = 2*v - 52, 4*t - 238 = -2*v. Find g, given that 12*g**2 + 63*g**3 - 19*g**4 + 24 + 10*g**2 + 44*g + 18*g**4 - t*g**3 = 0.
-2, -1, 6
Suppose -8*o - 252 = 10*o. Let x be (1 + -1)/(o + (9 - -7)). Factor 0 - 3/2*p**3 + x*p**2 + 0*p.
-3*p**3/2
Let v = -242 - -244. Determine d, given that 14*d**v - 65*d**2 + 122 - 3*d**3 - 240*d - 170 - 144 = 0.
-8, -1
Let r(p) be the first derivative of -p**6/24 + p**5/5 + p**4/2 - 7*p**3/6 - 7*p**2/8 + 5*p/2 - 6720. Let r(w) = 0. What is w?
-2, -1, 1, 5
Let o(c) be the first derivative of -4*c**5/5 - 18*c**4 - 284*c