h(y) be the second derivative of -48*y + 0 - 1/2*y**6 - 1/14*y**7 + 7/2*y**3 + 1/2*y**4 + 9/2*y**2 - 9/10*y**5. Factor h(g).
-3*(g - 1)*(g + 1)**3*(g + 3)
Let n be 42/21 - 1744/11. Let l = n - -157. Solve -1/11*g**2 + 6/11*g - l = 0 for g.
1, 5
Let u(t) be the third derivative of -t**7/1575 + t**6/225 + 11*t**5/150 - t**4/45 - 32*t**3/45 - 2*t**2 + 12*t - 6. Determine l so that u(l) = 0.
-4, -1, 1, 8
Let b(q) be the third derivative of q**5/75 - q**4/6 - 84*q**3/5 - 5*q**2 + 19. Determine g so that b(g) = 0.
-9, 14
Find f such that -8/5*f**2 - 2/15*f**4 + 0 - 14/15*f**3 + 0*f = 0.
-4, -3, 0
Let h be (-8*((-3)/20 + (-6)/(-15)))/(30/(-45)). Let 1/7*b**5 - 8/7*b**4 + 9/7*b + 22/7*b**h + 0 - 24/7*b**2 = 0. Calculate b.
0, 1, 3
Let c(j) be the second derivative of j**6/30 - 13*j**5/10 - j**4/12 + 13*j**3/3 - 7753*j - 2. Factor c(b).
b*(b - 26)*(b - 1)*(b + 1)
Let a be 0 - (-12)/10*90/27. Suppose -5*m - j = -19, -17 - 8 = -3*m - a*j. Factor 2/21*c**4 + 2/21 + 0*c + 0*c**m - 4/21*c**2.
2*(c - 1)**2*(c + 1)**2/21
Let u be (-81)/(-12)*(-104)/(-12)*2. Let r = 1 + -1. Solve r*v**2 + 24*v - 9*v**2 - 126 + u - 6*v**3 = 0.
-3, 1/2, 1
Let f be (53 + 7 + -1)*-2. Let k = 121 + f. Factor -2/5*b**k + 0*b**2 + 0 + 0*b.
-2*b**3/5
Determine o, given that 80*o - 436*o + 0*o**2 - 1208 - o**2 - o**2 - 252*o = 0.
-302, -2
Let u(d) be the third derivative of 1/300*d**5 - 12*d - 19/120*d**4 - 2*d**2 + 3/5*d**3 + 0. Determine g, given that u(g) = 0.
1, 18
Let k = 111 + -107. Let q be k/3*7/((-28)/(-6)). Factor -24*a**3 + 24*a + 8*a**2 - 3*a**2 + 4*a**4 - 36 + 27*a**q.
4*(a - 3)**2*(a - 1)*(a + 1)
Let w(v) be the second derivative of v**7/11340 - v**6/1620 - v**5/36 - 7*v**4/12 - v + 2. Let l(f) be the third derivative of w(f). Factor l(g).
2*(g - 5)*(g + 3)/9
Suppose -58 = -4*f - 5*l, 4*l - 68 = f - 6*f. Let g be (-12)/2 + (368/20 - f). Factor 0*p**3 - g*p**4 + 2/5*p**2 - 1/5*p + 0 + 1/5*p**5.
p*(p - 1)**3*(p + 1)/5
Let l be 3 + -12 - (-2 - -5 - 5). Let q be 12/20 - l/5. Factor -7/5*u - 8/5 + 1/5*u**q.
(u - 8)*(u + 1)/5
Suppose 52*c + 196*c - 496 = 0. Determine b, given that 288/19 - 48/19*b + 2/19*b**c = 0.
12
Suppose -40/9*k**2 + 2/9*k**3 - 50/3*k + 500 = 0. Calculate k.
-10, 15
Let f = 17717/24 + -738. Let d(y) be the second derivative of -7*y + 0 - f*y**4 - 5/18*y**3 + 0*y**5 + 0*y**2 + 1/36*y**6. Factor d(v).
5*v*(v - 2)*(v + 1)**2/6
Let x(y) be the second derivative of -2*y**7/21 - 2*y**6/15 + 6*y**5/5 - 2*y - 309. Factor x(r).
-4*r**3*(r - 2)*(r + 3)
Let f(s) be the third derivative of -s**7/1785 - 11*s**6/510 + 5*s**5/102 + 23*s**4/102 + 9*s**2 - 2*s + 4. Solve f(n) = 0.
-23, -1, 0, 2
Suppose -2*u = -105 + 5. Let p = -50 + u. Factor 0*b**3 + 1296*b - 4*b**2 + b**3 + p*b**2 - 1293*b.
b*(b - 3)*(b - 1)
Suppose 12*q - 10*q = -3*r - 1406, 1411 = -3*r - q. Let v = r + 3308/7. Factor -6/7*a**2 - v*a + 0 + 0*a**3 + 2/7*a**4.
2*a*(a - 2)*(a + 1)**2/7
Let w be 6478/(-360) + 14130/785. Let u(c) be the third derivative of -22*c**2 - 13/315*c**5 + 5/63*c**4 + 0 + 0*c + 8/63*c**3 + w*c**6. Factor u(z).
2*(z - 2)**2*(7*z + 2)/21
Let l(b) be the third derivative of -1/525*b**7 - 1/15*b**4 + 0*b**3 + 8*b**2 + 1/150*b**5 + 0*b + 0 + 1/75*b**6. Factor l(h).
-2*h*(h - 4)*(h - 1)*(h + 1)/5
Let q be ((-36)/15)/((-1468)/8808*(-1 - -7)). Factor -12/5*s**2 + 4/5*s**4 - 28/5*s + 24/5 + q*s**3.
4*(s - 1)**2*(s + 2)*(s + 3)/5
Let n(o) = -o**2 + 227*o - 3. Let w(h) = h**2 - 7*h + 1. Let k(b) = 2*n(b) + 6*w(b). Factor k(u).
4*u*(u + 103)
Let o(k) be the second derivative of k**7/336 - k**6/12 - 7*k**5/16 + 5*k**4/24 + 23*k**3/16 - 1697*k. Find c, given that o(c) = 0.
-3, -1, 0, 1, 23
Let s(l) = -3*l**2 + 103*l + 10. Let w(h) = 6*h**2 - 103*h - 11. Let p(n) = -3*s(n) - 4*w(n). Factor p(v).
-(v - 7)*(15*v + 2)
Let y be -2 - (18/(-243))/(8/96)*4. Find w such that 40/9*w + y - 2/3*w**2 = 0.
-1/3, 7
Let o(u) be the second derivative of 19/3*u**4 + 0 - 2/5*u**6 + 7/5*u**5 + 10/3*u**3 - 8*u**2 - 112*u. Suppose o(t) = 0. Calculate t.
-1, 1/3, 4
Factor -1/5*a**2 - 5652/5*a - 7986276/5.
-(a + 2826)**2/5
Let z(w) = -7 - 103*w + 46*w + w**3 + 52*w - 2*w**2. Let l be z(4). Determine m so that -1/4*m**l + 1/2*m**2 - 1/2*m**4 + 1/4*m**3 + 0*m + 0 = 0.
-2, -1, 0, 1
Find p such that -483/5*p + 54/5 + 228/5*p**2 = 0.
9/76, 2
Let k(u) = 3*u**2 + 15*u + 21. Let h(y) be the first derivative of y**3 + 15*y**2/2 + 20*y - 35. Let m(i) = 3*h(i) - 2*k(i). Suppose m(s) = 0. Calculate s.
-3, -2
Find w, given that 28227/5 + 582/5*w + 3/5*w**2 = 0.
-97
Determine r, given that 158/21*r**2 + 10/21*r**4 - 16/7 + 76/21*r**3 + 44/21*r = 0.
-4, -3, -1, 2/5
Let x(r) = 22 - 23*r + 17*r + 11*r + 138*r + 216*r**2. Let t(j) = 72*j**2 + 49*j + 7. Let d(q) = 19*t(q) - 6*x(q). Find u, given that d(u) = 0.
-1, -1/72
Let c(y) be the third derivative of y**5/12 - 5*y**4/3 + 35*y**3/6 - 49*y**2 - 16*y. Let c(h) = 0. Calculate h.
1, 7
Factor -3/5*i**3 + 792/5*i - 51*i**2 + 0.
-3*i*(i - 3)*(i + 88)/5
Let n(c) = 8352*c + 23040. Let k be n(5). Factor k*f + 3/5*f**4 + 72*f**3 + 486000 + 3240*f**2.
3*(f + 30)**4/5
Let k(v) be the first derivative of v**5/5 - 1071*v**4/4 + 95765*v**3 - 286225*v**2/2 + 1228. Factor k(u).
u*(u - 535)**2*(u - 1)
Let p be (72/28)/(185497/(-10374) - 36/(-2)). Factor -1458/5 + p*i - 2/5*i**2.
-2*(i - 27)**2/5
Let u(l) = -10*l**2 + 560*l - 800. Let k(y) = 5*y**2 - 266*y + 400. Let w(h) = -5*k(h) - 2*u(h). Solve w(p) = 0.
2, 40
Let h(p) = 2*p - 13. Let z be h(8). Suppose -5*n + 117 = 5*i - z*n, 137 = 5*i - 3*n. Factor -18*q + 109 - 17*q + i*q**2 - 99.
5*(q - 1)*(5*q - 2)
Let b(v) be the second derivative of -v**4/18 - 16*v**3/9 - 64*v**2/3 + 2175*v. Factor b(n).
-2*(n + 8)**2/3
Let b(l) be the third derivative of l**7/2940 + l**6/315 + l**5/105 - 19*l**4/4 + l**2. Let n(i) be the second derivative of b(i). Factor n(f).
2*(f + 2)*(3*f + 2)/7
Suppose 0 = 21*m - 17*m - 2*a - 14, a + 11 = 3*m. Suppose m*t = 4*o - 8, -4*o - 36*t + 8 = -37*t. What is z in -1/4*z + 0 - 1/2*z**o - 1/4*z**3 = 0?
-1, 0
What is c in 94178/9 + 31972/3*c**2 + 2/9*c**4 - 872/9*c**3 - 189224/9*c = 0?
1, 217
Let y = -16290 + 179193/11. Determine x so that 0*x**2 - y*x + 1/11*x**3 - 2/11 = 0.
-1, 2
Let p(g) = -2*g**2 + 49*g + 23. Let f be p(25). Let n(q) = q**2 - 2*q - 3. Let o(x) = -4*x**2 + 8*x + 36. Let s(a) = f*n(a) - o(a). Factor s(t).
2*(t - 5)*(t + 3)
Let f be ((-38)/(-8) - 1)*(-4)/(-3). Determine a so that -19*a + 0*a**2 + f + a**2 + 9*a**2 + 4*a = 0.
1/2, 1
Let k be 283/(-1132) - ((-170)/8)/5. Factor -4/3*l + 4/3*l**3 + 2/3*l**2 - 2/3*l**k + 0.
-2*l*(l - 2)*(l - 1)*(l + 1)/3
Let i(u) be the third derivative of u**5/12 - 130*u**4 + 81120*u**3 - 2057*u**2. Find b, given that i(b) = 0.
312
Let b(r) be the third derivative of 4/15*r**5 - 105*r**2 + 0*r**3 + 0*r**4 + 0*r + 0 - 1/30*r**6. Suppose b(t) = 0. Calculate t.
0, 4
Find f, given that 57*f**2 - 230 + 76*f**2 - 19*f**2 - 5*f**4 - 24*f + 174 + 76*f**3 - f**4 = 0.
-1, 2/3, 14
Let w(z) be the first derivative of 2*z**3/15 + 33*z**2/5 + 232*z/5 - 6391. Factor w(k).
2*(k + 4)*(k + 29)/5
Let b = 35353/24 - 1473. Let r(y) be the second derivative of 1/160*y**5 + 1/12*y**3 - 8*y + b*y**4 + 0*y**2 + 0. Let r(c) = 0. What is c?
-2, 0
Let p(j) be the first derivative of 5*j**4/4 - 1105*j**3 - 1660*j**2 + 1281. Factor p(o).
5*o*(o - 664)*(o + 1)
Let h(p) = 2*p**2 - 14*p - 1. Let a(k) = k**2 - 14*k - 2. Let j(x) = 5*a(x) - 4*h(x). Let d(c) = -c**2 + 2. Let m(l) = 10*d(l) - 2*j(l). Factor m(o).
-4*(o - 8)*(o + 1)
Let u be (0 - 4) + 8 + 3 + 2 + -9. Let x(t) be the third derivative of u*t + 5/42*t**4 - 10*t**2 + 0 - 8/21*t**3 - 1/105*t**5. Factor x(i).
-4*(i - 4)*(i - 1)/7
Let l(a) be the third derivative of a**7/630 + 3*a**6/20 + 673*a**5/180 - 21*a**4 + 392*a**3/9 + 240*a**2 - a - 3. Factor l(q).
(q - 1)**2*(q + 28)**2/3
Let f(l) be the first derivative of -l**3/6 - 8*l**2 + 519. Find u such that f(u) = 0.
-32, 0
Let k(y) be the first derivative of -5*y**3/3 - 350*y**2 + 1420*y + 5040. Factor k(f).
-5*(f - 2)*(f + 142)
Let x be 2/(7 - 4 - 1). Factor -x - 2*q - 9 + q**2 - q.
(q - 5)*(q + 2)
Suppose -18*r = -6*r. Suppose 8*q + 2*o = 10*q + 4, 4*o - 20 = r. Determine v, given that 3*v**q - 3/4*v**4 + 3/2*v - 15/4*v**2 + 0 = 0.
0, 1, 2
Suppose 0 = -424*c + 430*c + 12. Let x be 6 + -2 + -2 + c. Let -17/4*f**