 4)/5
Let u be (0 + -1 + 667/435)/((-28)/(-175)). Factor 1/3*t**3 - 8/3 - 1/3*t**2 - u*t.
(t - 4)*(t + 1)*(t + 2)/3
Let q(a) = a**3 - 10*a**2 + 23*a + 8. Let i be q(6). Factor 246 + 4*n**3 - 246 - 33*n**2 + n**i.
4*n**2*(n - 8)
Suppose 4*j = 8*j - 8. Let h(k) = -k - 457 + k**j + 458 + 2*k. Let g(w) = 2*w**2 + 7*w + 10. Let d(i) = g(i) - h(i). Suppose d(s) = 0. Calculate s.
-3
Let f(j) be the third derivative of j**7/105 - j**6/20 - j**5/3 + 2*j**4 + 346*j**2. Factor f(b).
2*b*(b - 4)*(b - 2)*(b + 3)
Let v = -103844 + 519231/5. Factor -2 - 1/5*z**2 - v*z.
-(z + 1)*(z + 10)/5
Let q(g) be the first derivative of 52 - 8/39*g**3 - 3/13*g**2 - 1/26*g**4 + 0*g. Determine h, given that q(h) = 0.
-3, -1, 0
Let k(m) be the first derivative of -3*m + 5/4*m**2 + 21 - 1/6*m**3. Find d, given that k(d) = 0.
2, 3
Let h be 1 + 7 + 3290/(-4). Let z = h + 816. Factor -z*d**2 + 9/2*d + 0.
-3*d*(d - 3)/2
Let i(w) be the first derivative of -w**4/10 + 92*w**3/15 + 96*w**2/5 + 1298. Factor i(h).
-2*h*(h - 48)*(h + 2)/5
Factor 1/8*u**2 + 172*u + 59168.
(u + 688)**2/8
Let -69/2*n**3 - 3/2*n**5 + 0 - 18*n - 42*n**2 - 12*n**4 = 0. Calculate n.
-3, -2, -1, 0
Let k(x) be the second derivative of x**5/10 + 26*x**4/3 + 256*x**3 + 2304*x**2 + 464*x. Factor k(l).
2*(l + 4)*(l + 24)**2
Let c be 105/250 + (7 - (-185)/(-25)). Let x(v) be the second derivative of 2/5*v**2 - c*v**5 + 0 - 13*v - 1/10*v**4 + 1/75*v**6 + 1/15*v**3. Factor x(l).
2*(l - 2)*(l - 1)*(l + 1)**2/5
Suppose 117*v - 176 = 115*v. What is b in -80*b**4 - 12*b**3 - 50*b**2 + 54*b**2 + v*b**4 = 0?
0, 1/2, 1
Let r = -891551/3 - -297229. Factor 14/3*k**3 - 56/3 + r*k + 206/3*k**2.
2*(k + 1)*(k + 14)*(7*k - 2)/3
Let q = 105 - 126. Let c be q/12 + (-1 - -3). Factor -1/8*w**2 + c + 1/8*w.
-(w - 2)*(w + 1)/8
Let k(w) be the second derivative of -w**5/60 + 23*w**4/18 + 49*w**3/6 - 71*w - 7. Suppose k(o) = 0. What is o?
-3, 0, 49
Let k = 157 + -232. Let j be (-44)/(-20) - (-45)/k. Suppose -8*q + 14/5*q**4 - 42/5*q**2 + 4/5*q**3 - j = 0. What is q?
-1, -2/7, 2
Let f(o) be the first derivative of -o**5/30 + 2*o**4 - 48*o**3 + 59*o**2/2 - 40. Let c(i) be the second derivative of f(i). Factor c(z).
-2*(z - 12)**2
Let v = -66 + 185. Let q = -114 + v. Solve -4*o**q - 5*o**4 - 5*o**2 + 22*o**4 + 5*o**3 - 12*o**4 - o**5 = 0 for o.
-1, 0, 1
Let b(w) be the third derivative of w**6/240 - 59*w**5/40 - 89*w**4/24 - 2*w**2 + 240*w - 3. Let b(p) = 0. Calculate p.
-1, 0, 178
Find g, given that 2/7*g**2 - 142/7*g - 1440/7 = 0.
-9, 80
Let p(a) = 2*a**2 - 3*a + 3. Let w = 46 - 44. Let b be p(w). Factor 19 - 36 - 5*v - 5*v**2 + 5*v**3 + b*v**4 + 17.
5*v*(v - 1)*(v + 1)**2
Let i be 1058/4*16720/10450. Let -4/5*o**2 + 184/5*o - i = 0. What is o?
23
Let w be (24/9 - 2)*(-6 - (-84)/8). Let p(f) = f**3 + f**2 + 3. Let q be p(0). Suppose 77*s**2 - 27*s**4 + w*s**3 - 71*s**2 + 18*s**q = 0. What is s?
-2/9, 0, 1
Let g(z) be the first derivative of -84*z + 9/4*z**4 - 29*z**3 - 24 + 90*z**2. Suppose g(l) = 0. What is l?
2/3, 2, 7
Let g(j) be the third derivative of -2*j + 0 - 23/6*j**4 + 2/105*j**7 - 7/5*j**5 - 16/3*j**3 - 3*j**2 - 1/6*j**6. Determine f, given that g(f) = 0.
-1, 8
Let g(l) = 3*l - 2. Let m(j) = 2*j**2 - 6350*j + 5030796. Let n(i) = 2*g(i) + m(i). Factor n(t).
2*(t - 1586)**2
Solve 9*c - 48/5*c**3 - 18/5*c**4 - 6/5*c**2 + 3/5*c**5 + 24/5 = 0 for c.
-1, 1, 8
Let f = 12187/54882 - -1/6098. Determine q, given that -14/9*q**2 - 2/3*q - 10/9*q**3 + 0 - f*q**4 = 0.
-3, -1, 0
Suppose -244*g + 25*g - g**3 - 117*g - 69*g + 406*g**2 = 0. What is g?
0, 1, 405
Let l be (-5 + (-51)/(-9))*(-18)/(-1). Suppose -3*u + 2*u + 4*p = -27, 0 = -4*u - p + 108. Factor 4*x**2 - l*x - u - 16 + 3.
4*(x - 5)*(x + 2)
Let w = 26 + -7. Suppose -5*b - 42 = -w*b. Solve -c**4 - 15*c**b + 4*c**3 - c**4 + 7*c**3 = 0.
-2, 0
Let g = 142822 - 142822. Solve 12/5*o**2 + g*o + 18/5*o**3 + 6/5*o**4 + 0 = 0 for o.
-2, -1, 0
Let v(s) = 14*s**3 + 2801*s**2 + 2832*s + 63. Let q(w) = 6*w**3 + 1402*w**2 + 1416*w + 28. Let t(b) = 9*q(b) - 4*v(b). Factor t(y).
-2*y*(y - 708)*(y + 1)
Let g(h) be the third derivative of 679*h**6/24 - 677*h**5/12 - 5*h**4/12 + 1928*h**2. Find k such that g(k) = 0.
-2/679, 0, 1
Factor 16/5 + 28/5*k**3 + 86/5*k + 19*k**2.
(k + 2)*(4*k + 1)*(7*k + 8)/5
Let m(c) be the third derivative of 0*c - 1/96*c**6 - 35*c**2 + 1/8*c**5 + 0 + 25/32*c**4 + 5/3*c**3. Solve m(r) = 0.
-1, 8
Let w be (710/(-45) - -16) + (-1 - -1). Let b(t) be the first derivative of 0*t**2 + 0*t + w*t**3 + 15. Solve b(p) = 0.
0
Let w(q) be the first derivative of 64*q + 30*q**2 + 114 - 4/3*q**3. Solve w(i) = 0 for i.
-1, 16
Suppose 0*i + 2*i = -3*m - 138, -4*m = -i - 47. Let z = 66 + i. What is o in 17*o + 16*o**2 - 1 + 4*o**z + 1 - o = 0?
-2, 0
Suppose 3 = g - 3*i + 6, 3*g = i + 7. Factor 3009*a**5 + 5*a**4 - 6*a**g - 3010*a**5 - 3*a**2 - a**2 + 8*a.
-a*(a - 2)**3*(a + 1)
Let m = 3390/83 + -16784/415. Find u, given that -2/5*u**2 + m*u + 0 = 0.
0, 1
Let i = 208793/3 + -208792/3. Factor 19/3*f - 6 - i*f**2.
-(f - 18)*(f - 1)/3
Let i = -99328/15 - -6622. Let d(o) be the first derivative of -4/3*o**4 + 18 - 16/3*o**2 + i*o**5 + 4*o**3 + 10/3*o. Let d(b) = 0. Calculate b.
1, 5
Let w be -6 + 608/(-24) + -4. Let q = 36 + w. Suppose -2/3 + 4/3*l**2 + 2/3*l + q*l**5 - 2/3*l**4 - 4/3*l**3 = 0. What is l?
-1, 1
Suppose 2 = y + 2*n + 1, -5*n = -y + 8. Let t(g) = 2*g - 3. Let d be t(3). Factor -6*b**4 + 7*b**y + 11*b**4 - 2*b**d.
5*b**3*(b + 1)
Let g(k) be the second derivative of -3*k**5/100 - 2*k**4/5 - 2*k**3/5 + 72*k**2/5 + 318*k - 1. Suppose g(a) = 0. What is a?
-6, -4, 2
Let m(k) = 6151*k + 215285. Let z be m(-35). Suppose -14/11*u + 30/11*u**2 + 2/11*u**4 + z - 18/11*u**3 = 0. Calculate u.
0, 1, 7
Let c(g) be the third derivative of 0*g + 3/20*g**4 + 1/50*g**6 - 29/300*g**5 + 0 + 157*g**2 - 1/1050*g**7 + 0*g**3. Determine a, given that c(a) = 0.
0, 1, 2, 9
Let y(p) = 16*p**2 - 70*p + 66. Let z(l) = 57*l**2 - 210*l + 195. Let k(f) = -7*y(f) + 2*z(f). Factor k(q).
2*(q - 1)*(q + 36)
Factor -275/2*g + 390 + 5/2*g**2.
5*(g - 52)*(g - 3)/2
Suppose 2*y - 4*a = -68, -3*y + 1682 = 13*a + 1442. Find w, given that -1/3*w**y + 11 + 32/3*w = 0.
-1, 33
Factor 1927 + 8*v**3 + 16*v**3 - 54*v**2 - 2*v**4 - 3858 + 1931.
-2*v**2*(v - 9)*(v - 3)
Let c(h) be the third derivative of h**6/80 - 7*h**5/60 - 3*h**4/2 - 16*h**3/3 - h**2 - 295. Determine l, given that c(l) = 0.
-2, -4/3, 8
Let q = -726 + 724. Let g be (-9)/4 + (q + 4 - -4). Solve 0*r**2 - g*r**4 + 5*r - 35/4*r**3 + 0 = 0 for r.
-2, -1, 0, 2/3
Let w = 1/733 + 723/7330. Let d(r) be the first derivative of -2/5*r + 2/15*r**3 - 1/20*r**4 + w*r**2 - 24. Factor d(l).
-(l - 2)*(l - 1)*(l + 1)/5
Let u(s) = -2*s**3 + 6*s**2 - 2*s - 6. Let w(a) = a**2 + 2*a - 1. Let j(b) = u(b) + 12*w(b). Let r be j(10). Factor -4/19 + 18/19*z**r - 14/19*z.
2*(z - 1)*(9*z + 2)/19
Let g(b) = 189*b**3 - 915*b**2 - 714*b + 15. Let s(z) = -27*z**3 + 131*z**2 + 102*z - 2. Let l(v) = -2*g(v) - 15*s(v). Factor l(n).
3*n*(3*n - 17)*(3*n + 2)
Let u be ((-3)/(-540))/((-185)/(-111)). Let d(v) be the third derivative of 1/30*v**3 + 0*v - u*v**5 + 0*v**4 - 2*v**2 + 0. Solve d(f) = 0.
-1, 1
Let y(t) be the second derivative of -2/9*t**6 - 80/9*t**3 - 1/63*t**7 - 4/3*t**5 - 40/9*t**4 - 32/3*t**2 + 20 - 2*t. Factor y(k).
-2*(k + 2)**5/3
Let q(k) be the third derivative of 165/16*k**4 - 125/6*k**3 + 4/7*k**7 + 0 + 262*k**2 + 5/672*k**8 - 25/12*k**6 + 1/12*k**5 + 0*k. Let q(o) = 0. Calculate o.
-50, -1, 1
Let y be 3 + 35/33*-1 - 2492/(-41118). Suppose -12/11*k**y + 18/11*k - 8/11 + 2/11*k**3 = 0. What is k?
1, 4
Factor -287/6*f - 1/6*f**3 - 20/3*f**2 - 124/3.
-(f + 1)*(f + 8)*(f + 31)/6
Let v be 7/(-3)*(-4 + -1 - 4). Factor -2*y**2 + 68*y + 29 - 74 - v.
-2*(y - 33)*(y - 1)
Let a(k) be the third derivative of -k**7/112 + 2*k**6/15 - 17*k**5/32 + 83*k**4/96 - k**3/2 + 17*k**2 - 47*k. Determine d, given that a(d) = 0.
1/5, 1, 4/3, 6
Let a(o) be the second derivative of o**3/6 + 11*o**2/2 + o. Let c be a(-9). What is q in 11 - 3*q**4 + c*q**3 - 11 + 40*q**3 - 147*q**2 = 0?
0, 7
Let w = -446583 + 1786349/4. Find t, given that 15/8*t**2 - w*t + 2 = 0.
2/3, 8/5
Factor 3/5*b**3 + 25944/5*b - 26508/5 + 561/5*b**2.
3*(b - 1)*(b + 94)**2/5
Let s(h) be the third derivative of -h**8/1344 + h**7/252 + h**6