*d**2 - 24*d + 42*d**3 - 33/4*d**4. Factor h(t).
-3*(t - 2)**2*(11*t + 2)
Factor 411 - 118 - 112 - 105 - 100 - 176*q + 30*q**2.
2*(q - 6)*(15*q + 2)
Factor 0*d + 0*d**2 + 0 + 12*d**3 - 26/7*d**4 + 2/7*d**5.
2*d**3*(d - 7)*(d - 6)/7
Solve 8*f**2 - 58/5*f - 6/5*f**3 - 24/5 = 0.
-1/3, 3, 4
Let w(p) be the third derivative of 1/20*p**5 + 1/2*p**4 - 5/2*p**3 - 4*p + 0 + 6*p**2. Factor w(x).
3*(x - 1)*(x + 5)
Let -6 - 3*f**2 + 180 - 99*f + 64 + 0*f**2 - 28 = 0. Calculate f.
-35, 2
Let x = -339 - -381. Determine h, given that 83*h**3 + 36*h - 13*h**3 + 44*h**3 + 0*h**5 - x*h**4 - 110*h**2 + 2*h**5 = 0.
0, 1, 18
Let u = 51046 - 51043. Find w such that 14/23*w**2 + 2/23*w**u + 30/23*w + 18/23 = 0.
-3, -1
Let c(s) = 10*s**4 - 60*s**3 - 295*s**2 + 75*s + 1590. Let i(x) = x**4 + x**3 + x**2 + x - 14. Let t(h) = -c(h) + 15*i(h). Factor t(p).
5*(p - 2)*(p + 5)*(p + 6)**2
Let h(x) be the second derivative of -x**5/10 + 20*x**4/3 + 2564*x. What is l in h(l) = 0?
0, 40
Find f, given that -861*f + 303*f - f**4 + 282*f - f**4 + 5*f**4 - 3*f**2 + 276*f**3 = 0.
-92, -1, 0, 1
Suppose -8*p = -14*p + 72. Solve 13*q - q**2 + 0 - 6 - p - 10 + 6 = 0.
2, 11
Let y(a) = -19*a - 368. Let s be y(-20). Let c = 14 - s. Suppose -3*d**c + 5*d**4 + 0 - 4/3*d**3 - 2/3*d = 0. What is d?
-2/5, -1/3, 0, 1
Let k(o) be the third derivative of 1/10*o**6 + 0*o + 60*o**2 + 0*o**4 + 1/5*o**5 - 1 + 0*o**3 + 1/70*o**7. Find d, given that k(d) = 0.
-2, 0
Factor -4682*f + 2617924 + 1284*f - 3074*f + 4*f**2.
4*(f - 809)**2
Let i = 10 - 43. Let s = i + 38. Let -18*p**3 - 5*p**4 + 8*p**4 + 17*p**4 - 16*p**2 - 6*p**3 + 32*p - 4*p**s = 0. What is p?
-1, 0, 2
Let c(f) be the second derivative of -f**4/9 - 8000*f**3/9 - 8000000*f**2/3 + 8276*f. Factor c(d).
-4*(d + 2000)**2/3
Let t be (18/(-4))/((-25)/20 + 1). Determine h, given that 112/9*h + t*h**2 + 8/3 + 10/9*h**4 + 28/3*h**3 = 0.
-6, -1, -2/5
Let w be ((-150)/45)/(2 + 20/(-9)). Suppose -m = 5*a + w, -2*m - 6 = 6*a - 2*a. Factor 85*r**3 + 130*r**3 - 55*r**4 + m*r**5 + 280*r - 53 + 13 - 40 - 365*r**2.
5*(r - 4)**2*(r - 1)**3
Let -3/2 + 2*k + 7/2*k**2 = 0. What is k?
-1, 3/7
Let z be 4/(((-7)/35)/(4/(-10))). Suppose -8*l + 110 = 14. Suppose 0*n + 4*n**2 + 0*n + z - l = 0. Calculate n.
-1, 1
Suppose -11*r - 28 = -18*r. Suppose 3*z + 317 = r*l, -4*l + 4*z + 0*z + 316 = 0. Factor 8/3 - 4/3*q - 156*q**3 - l*q**2.
-4*(3*q + 1)**2*(13*q - 2)/3
Suppose -26*y - 3*y = 7656. Let d = -264 - y. Factor d + 3*r**3 + 2/3*r + 11/3*r**2.
r*(r + 1)*(9*r + 2)/3
Let h(z) be the second derivative of 2/3*z**4 + 0*z**2 - 27*z + 0*z**3 + 0 + 1/10*z**5. Factor h(x).
2*x**2*(x + 4)
Let x(t) be the second derivative of 363*t**2 - 3/20*t**5 - 77/2*t**3 - 5*t**4 - 68*t + 0. Factor x(b).
-3*(b - 2)*(b + 11)**2
Let r(d) be the third derivative of -4*d**7/735 + 5*d**6/56 - 19*d**5/420 - 25*d**4/56 + 9*d**3/14 + 852*d**2 + 2. Solve r(c) = 0 for c.
-1, 3/8, 1, 9
Let o(w) be the first derivative of -5/4*w**4 + 20/3*w**3 + 0*w - 15/2*w**2 + 64. Factor o(h).
-5*h*(h - 3)*(h - 1)
Suppose 19 = 3*a + y, 5 = -3*a - 0*a + 5*y. Suppose 0 = -102*o + 96*o + 18. Solve 13*g**4 + o*g**4 - 2*g + 12*g**3 - 31*g**5 - 16*g**2 + 35*g**a - 14*g = 0.
-2, -1, 0, 1
Let d = 1/67235 - -1411927/537880. Suppose -d*r**3 - 69/8*r + 15/4 - 15*r**2 = 0. Calculate r.
-5, -1, 2/7
Let z be ((-63)/(-210))/((-2)/(-30)) + (-15)/10. Let v(a) be the first derivative of -3/4*a**2 - 17 + 1/2*a**z + 0*a. Solve v(k) = 0.
0, 1
Let r(c) be the second derivative of -c**4/6 + c**3/3 - 79*c. Let d(y) = 22*y**2 - 14*y + 4. Let s(n) = -2*d(n) - 20*r(n). Factor s(m).
-4*(m + 1)*(m + 2)
Let u(j) be the first derivative of 5*j**3/3 + 145*j**2/2 - 150*j - 595. Solve u(g) = 0.
-30, 1
Let t = 184977/4 - 46243. What is m in t - 1/4*m**2 + m = 0?
-1, 5
Let o be 1/(2/80) - (-1 - -1). What is k in -37*k + 15*k + o*k**2 - 13*k - 5*k**3 = 0?
0, 1, 7
Determine b so that -388800/7 - 1947/7*b**2 - 222/7*b**3 + 79920/7*b - 3/7*b**4 = 0.
-45, 8
Let f(h) be the first derivative of -3*h**4/16 + 5*h**3 + 21*h**2/2 - 145*h + 5. Let i(c) be the first derivative of f(c). Suppose i(z) = 0. What is z?
-2/3, 14
Let b(w) be the second derivative of 3/10*w**5 + 23/33*w**4 - 8/11*w**2 + 7/165*w**6 + 4/11*w**3 - 1 + 15*w. Determine p so that b(p) = 0.
-2, -1, 2/7
Suppose 278*f - 8*q = 282*f + 32, -3*q = 5*f + 5. Factor 1/7 + 2/7*n**f - 3/7*n**4 - 3/7*n + 1/7*n**5 + 2/7*n**3.
(n - 1)**4*(n + 1)/7
Let c(y) be the second derivative of y**7/630 + 11*y**6/180 + 3*y**5/5 - 125*y**4/12 + 4*y + 2. Let s(f) be the third derivative of c(f). Factor s(u).
4*(u + 2)*(u + 9)
Factor 249*g**3 + 85*g**2 + 167*g**2 - g**4 + 2226580*g - 2227080*g.
-g*(g - 250)*(g - 1)*(g + 2)
Let x = 259778 - 259774. Suppose -27/5*c**2 + 6/5*c + 6/5*c**3 - 12/5*c**5 + 27/5*c**x + 0 = 0. What is c?
-1, 0, 1/4, 1, 2
Let f(n) be the first derivative of 3*n**5/10 - 165*n**4/8 + 669*n**3/2 + 7221*n**2/4 + 2523*n + 790. Find a such that f(a) = 0.
-2, -1, 29
Find s such that -16*s - 31/2 - 1/2*s**2 = 0.
-31, -1
Let b be 3 + 3/(-2) - (-429957)/(-69714). Let s = -1/1291 - b. Solve -s*q**2 + 0 + 16/3*q**3 + 32/3*q**4 + 2/3*q = 0 for q.
-1, 0, 1/4
Let x(f) be the third derivative of f**6/40 + 39*f**5/10 + 437*f**4/8 + 180*f**3 + 8927*f**2. Factor x(l).
3*(l + 1)*(l + 5)*(l + 72)
Determine v, given that -4*v - 2/3*v**2 + 320/3 = 0.
-16, 10
Suppose 3*p - 5*a - 27 - 4 = 0, a = -5. Factor -19 + 40*d**3 + 1 - 3*d + 13*d**p - 2*d**4 - 63*d**3 + 3*d**4 + 30*d**3.
(d - 1)*(d + 2)*(d + 3)**2
Let k(s) be the second derivative of s**7/168 - 7*s**6/120 + 19*s**5/80 - 25*s**4/48 + 2*s**3/3 - s**2/2 - 43*s. What is q in k(q) = 0?
1, 2
Let x(v) be the second derivative of -1/10*v**5 + 33*v - 20/3*v**3 + 2*v**4 + 0*v**2 + 0. Determine y, given that x(y) = 0.
0, 2, 10
Let q(l) be the second derivative of l**4/15 - 12*l**3/5 + 18*l**2 + 563*l. Suppose q(o) = 0. What is o?
3, 15
Let z(j) be the first derivative of -5*j**4/4 + 190*j**3 - 555*j**2/2 - 1130*j + 1224. Determine n so that z(n) = 0.
-1, 2, 113
Let u(c) be the third derivative of c**6/12 - 11*c**5/45 - c**4/4 - 41*c**2 + 2. Suppose u(s) = 0. Calculate s.
-1/3, 0, 9/5
Suppose 2*o - 801 = 2*v - o, -5*v - 1965 = 5*o. Let m be 54/v*66/(-36). Factor 11/2*a - 121/4 - m*a**2.
-(a - 11)**2/4
Suppose 2698*m - 4056 - 1340/3*m**2 - 2/3*m**3 = 0. What is m?
-676, 3
Let h = -78 - -1214. Let n = 6821/6 - h. Factor -n*r**2 + r + 0 + 1/6*r**3.
r*(r - 3)*(r - 2)/6
Let i(f) = -2*f. Let s be i(-4). Suppose 844 = s*y + 180. Find z such that -2*z**3 - 8*z**2 + 83 - y + 2*z**2 = 0.
-3, 0
Let m be 1 + -29 + 16640/560. Solve -6/7*o**4 + 2/7 + 0*o + 16/7*o**3 - m*o**2 = 0.
-1/3, 1
Suppose 13*x + 5*h + 45 = 8*x, -2*x + 4*h = 48. Let w be 480/(-3780) - 2*4/x. Solve 2/3 + w*s - 2/9*s**2 = 0 for s.
-1, 3
Suppose -200 + 14 = -6*o. Factor 9*g - g**2 - 433 - 936 - o*g - 52*g.
-(g + 37)**2
Let g be (80/(-2820))/(-3 - 59). Let o = g - -7770/1457. Factor 0 + 12*u**3 + o*u + 14/3*u**4 + 40/3*u**2 + 2/3*u**5.
2*u*(u + 1)*(u + 2)**3/3
Let o = 6377 - 19498/3. Let n = 737/6 + o. Factor -1/3 - n*p + 1/3*p**2.
(p - 2)*(2*p + 1)/6
Let p(z) be the first derivative of -68 + 1/6*z**4 - 70/9*z**3 + 96*z**2 + 216*z. Factor p(k).
2*(k - 18)**2*(k + 1)/3
Suppose 20*k + 7782 = 7782. Let y(p) be the first derivative of -34 + 0*p**2 + k*p + 2/21*p**3. Solve y(f) = 0 for f.
0
Let g(s) be the third derivative of -s**10/10080 + s**8/2240 + s**4/24 - 5*s**3/6 + 14*s**2 - 8*s. Let x(z) be the second derivative of g(z). Factor x(v).
-3*v**3*(v - 1)*(v + 1)
Let h be 8 + 3334/19560*-46. Let z = h - -6/815. Factor j - 1/6*j**3 - z*j**2 + 0.
-j*(j - 2)*(j + 3)/6
Let w(d) be the third derivative of d**9/60480 + 19*d**8/13440 + 361*d**7/10080 + 3*d**4/2 - 3*d**2 + 2. Let o(u) be the second derivative of w(u). Factor o(b).
b**2*(b + 19)**2/4
Let k be (-11)/((-13)/18 + 10/45). Factor -166 + 166 + 2*t**5 - 8*t**4 - 12*t**2 + t**4 - t**4 - k*t**3.
2*t**2*(t - 6)*(t + 1)**2
Suppose 2*v + 2*n - 26 = 0, -n - 18 = 2*v - 46. Let v + 11 - 24 - 18*o**2 = 0. What is o?
-1/3, 1/3
Suppose 0 = 11*j - 25*j - 70. Let t be j - 42/12*-2. Suppose -1/3*z**3 - 49*z + 7*z**t + 343/3 = 0. Calculate z.
7
Let 0 - 258/11*l**3 + 0*l + 508/11*l**2 + 2/11*l**4 = 0. What is l?
0, 2, 127
Let 0*j**5 + 49 + 526*j**2 + 320*j + 5*j**5 + 51 - 172*j**4 + 227*j*