0
Let d(t) = -15*t**3 + 135*t**2 + 415*t + 295. Let b(n) = 23*n**3 - 204*n**2 - 621*n - 442. Let s(x) = 5*b(x) + 8*d(x). Factor s(a).
-5*(a - 15)*(a + 1)*(a + 2)
Let r be (57 - (-9639)/(-168))/(-1). Solve -9/4*c**2 + 9/8 + r*c + 3/8*c**5 + 9/8*c**4 - 3/4*c**3 = 0.
-3, -1, 1
Let m be 15/6 - 2 - 6/(-4). Let y(j) = -43*j + 44*j - 2*j**2 - 4*j**2 + 3*j**m. Let g(w) = 3*w**2 - 2*w. Let i(a) = -5*g(a) - 4*y(a). Solve i(z) = 0 for z.
0, 2
Let c(o) be the third derivative of o**7/525 - o**6/75 - o**5/150 + 4*o**4/15 - 4*o**3/5 - o**2 + 3*o + 653. Solve c(h) = 0.
-2, 1, 2, 3
Let x be ((-16)/(-12) - 2) + 80/30. Solve -x*b**2 - 10641*b**4 + 10642*b**4 + 2*b - b**2 = 0 for b.
-2, 0, 1
Let n be 9/(351/(-6)) - (-276)/273. Let d be ((-60)/(-50))/(24/10 + -2). Factor n*s**4 + 0 + 9/7*s**d + 0*s**2 - 3/7*s.
3*s*(s + 1)**2*(2*s - 1)/7
Suppose -2*s - 51 = -65. Determine t so that 27*t - s*t - 15*t + 3*t**3 - 8*t = 0.
-1, 0, 1
Let b(o) = -9*o**2 - 4011*o - 27633. Let q be b(-7). Factor -87/4*h + 3*h**q - 57/4*h**2 - 9/2.
3*(h - 6)*(h + 1)*(4*h + 1)/4
Suppose -26*z - 3494 + 218 = 0. Let p = 126 + z. Factor 0 + 0*r + 0*r**2 - 2/7*r**5 + 2/7*r**3 + p*r**4.
-2*r**3*(r - 1)*(r + 1)/7
Suppose -5*p + 2*p = -6. Let s be 5*5/(150/42). Determine l so that -20*l + 0*l**2 - 20 + 2*l**2 - s*l**p = 0.
-2
Let n(g) = -13*g**3 - 31*g - 2 - 19 + 26*g + 25*g**2. Let d(v) = -7*v**3 + 13*v**2 - 2*v - 10. Let c be 3*1*(-1 - 1). Let z(j) = c*n(j) + 11*d(j). Factor z(h).
(h - 4)**2*(h + 1)
Suppose 2*u - 5*c = -30 + 37, 4*u = -3*c + 105. Let a(r) be the second derivative of 1/84*r**4 + 0*r**3 + 0 + u*r + 0*r**2. Suppose a(m) = 0. What is m?
0
Let h = -136 + 164. Let u be ((-832)/h)/(-8) + 2/7. Determine q, given that 2*q**u - 16 + q**4 - 11*q**3 + 16 + 6*q**2 = 0.
0, 2/3, 3
Let o = -829 + 848. Suppose -17*y + 4*y - o*y = 0. Factor 0 - 5/2*x**3 - 10*x**2 + y*x.
-5*x**2*(x + 4)/2
Let n = -944 + 946. Let y(m) = 4*m**2. Let r be y(-1). What is d in -r*d**n - 4*d**3 - 194 + 194 - d**4 = 0?
-2, 0
Suppose 0 = 2*q, -5*q + 2*q = -2*n - 44. Let y be (-16 - n)*-3*2/(-20). Factor 0 - 12/5*g**3 + 3/5*g + y*g**2.
-3*g*(g - 1)*(4*g + 1)/5
Let c(y) be the second derivative of -2/135*y**6 - 19/27*y**3 + 2/3*y**2 + 0 - 1/63*y**7 + 11/45*y**5 - 2/27*y**4 + 52*y. Let c(l) = 0. What is l?
-3, -1, 1/3, 1, 2
Let -15544/3*j + 30201992/3 + 2/3*j**2 = 0. Calculate j.
3886
Let m = 304070 + -912209/3. Factor m*y**2 - 32/3*y + 1/6*y**3 + 80/3.
(y - 4)**2*(y + 10)/6
Let i be (-162)/(-34) + 0 + 1. Let o = 17300 - 17296. Let -16/17 - i*b**o - 36/17*b**2 - 88/17*b + 14*b**3 = 0. Calculate b.
-2/7, 1, 2
Let f be 3/15 + 6/45. Let y be (10 + (-595)/60)*(-8 + 10). Factor y*l**4 - f*l**3 + 1/3*l + 0*l**2 - 1/6.
(l - 1)**3*(l + 1)/6
Let o(j) be the third derivative of -j**6/420 - j**5/210 + 22*j**2 + 22*j - 3. Factor o(s).
-2*s**2*(s + 1)/7
Let h(d) be the first derivative of -44*d + 20*d**2 - 22 + 4/3*d**3. Solve h(p) = 0 for p.
-11, 1
Let m be -4 + 3 + 8 + (-13 - -1) - -5. Let s(n) be the first derivative of m*n + 1/2*n**2 - 10 - 1/6*n**3. Factor s(p).
-p*(p - 2)/2
Factor -122/9*p + 2/9*p**2 + 40/3.
2*(p - 60)*(p - 1)/9
Let m be (0 - 1) + (-20)/(-16). Let u(x) be the second derivative of 0 + 2*x**3 + m*x**4 - 3*x + 0*x**2. Factor u(o).
3*o*(o + 4)
Let c(s) be the first derivative of 220 + 0*s + 2/27*s**3 + 0*s**2 - 1/18*s**4. Factor c(u).
-2*u**2*(u - 1)/9
Let d = -1/5925 - -53329/23700. Let q(m) be the third derivative of 12*m**2 + 4*m**4 + 0*m - 2*m**3 - d*m**5 + 0 - 81/40*m**6. Factor q(g).
-3*(g + 1)*(9*g - 2)**2
Solve 3/7*t**4 + 3*t**3 + 444/7*t - 198/7*t**2 - 312/7 = 0 for t.
-13, 2
Let z(y) be the first derivative of -1/16*y**4 + 7/6*y**3 + 207 + 0*y - 13/8*y**2. Find x, given that z(x) = 0.
0, 1, 13
Let m be -1 - (-24)/28 - (-276)/21. Factor -m*l + 5*l**4 - 5*l**3 + 8*l**3 - 15*l**2 + 20 - 7*l + 7*l**3.
5*(l - 1)**2*(l + 2)**2
Let k(d) = -470*d + 34314. Let f be k(73). Solve 0 - 19/9*g**3 + 0*g + 2/9*g**f - 10/9*g**2 = 0.
-1/2, 0, 10
Let b(p) = p + 7*p + 14 - 2*p. Let g be b(-2). Determine l so that -g*l**2 + 0*l**2 + 37 - 7*l - 237 - 33*l = 0.
-10
Let x(j) be the second derivative of -1/24*j**4 + 23 + 1/40*j**5 - 2*j - 3/4*j**2 - 5/12*j**3. Suppose x(l) = 0. Calculate l.
-1, 3
Let z(h) = 3*h**4 - 223*h**3 + 3159*h**2 + 27385*h. Let a(g) = -12*g**4 + 891*g**3 - 12636*g**2 - 109539*g. Let x(i) = 7*a(i) + 27*z(i). Factor x(d).
-3*d*(d - 39)**2*(d + 6)
Let g(b) = b**3 - 26*b**2 + 66*b + 72. Let p be g(23). Let d be ((-13)/3 + p)/((-108)/243). Factor -q**2 + 2*q - 1/2*q**d + 4.
-(q - 2)*(q + 2)**2/2
Let 4/3*d**3 + 152/3*d**2 + 1924/3*d + 2704 = 0. What is d?
-13, -12
Let i(a) be the second derivative of a**7/840 - a**6/5 + 72*a**5/5 - 576*a**4 + 43*a**3/6 + 77*a. Let v(g) be the second derivative of i(g). Factor v(k).
(k - 24)**3
Let f be 10/(-8) + (-51)/(-12). Solve 4*s**2 + 5/4*s**f + 0 + s - 7/4*s**4 = 0.
-1, -2/7, 0, 2
Let z(v) = -37*v + 40. Let o be z(1). Suppose -q + 4*j + 37 = 49, 0 = -o*q + 5*j - 15. Factor q - 2/7*f**2 - 2/7*f**3 + 0*f.
-2*f**2*(f + 1)/7
Let f(a) be the first derivative of 3*a**5/20 + 2067*a**4/8 + 158010*a**3 + 36024900*a**2 - 146004000*a + 510. Determine c so that f(c) = 0.
-460, 2
Let m(x) = 27*x - 145. Let s be m(14). Suppose -42 = s*t - 240*t. Suppose -t - 48*j - 147/2*j**3 - 231/2*j**2 = 0. Calculate j.
-1, -2/7
Find t such that -9600/7*t + 0 + 33120/7*t**2 + 2982*t**3 + 981/7*t**4 + 12/7*t**5 = 0.
-40, -2, 0, 1/4
Let y(r) = -44*r**3 - 289*r**2 - 553*r + 242. Let o(u) = -5*u**3 - 36*u**2 - 69*u + 30. Let q(n) = -17*o(n) + 2*y(n). Factor q(b).
-(b - 13)*(b + 2)*(3*b - 1)
Let g(w) = 11*w**2 - 129*w + 366. Let z be g(7). Solve 0 - 4/9*j - 1/9*j**3 + 5/9*j**z = 0 for j.
0, 1, 4
Let v(q) be the second derivative of q**4/3 + 992*q**3/3 + 123008*q**2 - 2*q - 1073. Let v(p) = 0. What is p?
-248
Let p = -542583 - -542585. Let 3/2*s**p + 0 + 3/2*s + 3/8*s**3 = 0. Calculate s.
-2, 0
Let v(f) be the second derivative of f**7/147 - 16*f**6/105 + 6*f**5/7 - 25*f**4/21 - 61*f**3/21 + 66*f**2/7 - 2*f - 2544. What is y in v(y) = 0?
-1, 1, 2, 3, 11
Let d(g) be the first derivative of -g**4/2 + 368*g**3/3 - 365*g**2 + 364*g - 1495. Suppose d(b) = 0. What is b?
1, 182
Suppose 8*l = 17*l + 225. Let r be (-1)/3 - (l/3 + 3). Find d such that 2/17*d**r - 8/17 - 16/17*d**4 + 44/17*d**3 + 2*d - 56/17*d**2 = 0.
1, 4
Let y(t) be the second derivative of 0*t**2 + 121/60*t**3 + 8*t + 1/8*t**5 + 0 + 11/12*t**4. Factor y(j).
j*(5*j + 11)**2/10
Let f(d) be the third derivative of 9*d**6/40 - 13*d**5/10 - 35*d**4/8 - 4582*d**2. Factor f(k).
3*k*(k + 1)*(9*k - 35)
Let u(y) be the first derivative of y**6/6 - 38*y**5/5 + 114*y**4 - 1792*y**3/3 + 1024*y**2 - 12180. Find a, given that u(a) = 0.
0, 2, 4, 16
Let v(o) = 10*o**3 + 1 + 6 - 25*o**2 + 135*o - 133*o. Let s(t) = 20*t**3 - 50*t**2 + 5*t + 15. Let w(u) = 3*s(u) - 5*v(u). Solve w(n) = 0 for n.
-1/2, 1, 2
Let j = -11257 - -56286/5. Let a = -5/48 - -169/240. Factor -a + j*f**2 - 2/5*f.
(f - 3)*(f + 1)/5
Let f = 15369 - 15366. Let s(v) be the first derivative of 22 + 1/5*v**2 + 2/15*v**f - 4/5*v. Let s(m) = 0. What is m?
-2, 1
Let m(f) be the second derivative of -1 + 54*f + 1/3*f**4 + 18*f**2 - 20/3*f**3. Solve m(x) = 0.
1, 9
Let p be -4 + 25/10 + -34. Let q = p + 36. Let 1/8 - 3/8*k**4 + q*k - 1/2*k**3 + 1/4*k**2 = 0. What is k?
-1, -1/3, 1
Factor 4264/3*a - 2272712/3 - 2/3*a**2.
-2*(a - 1066)**2/3
Let j(g) be the third derivative of 2*g - 75/2*g**4 + 0 + 1/12*g**5 + 6750*g**3 - 65*g**2. Factor j(l).
5*(l - 90)**2
Let j(v) = -v**3 + 5*v**2 + v - 9. Let w be j(-3). Let n be 4/(-15) - (-40)/w. Solve -12/5*k - 18/5 - n*k**2 = 0 for k.
-3
Factor -3/7*i**2 - 6/7*i - 3/7.
-3*(i + 1)**2/7
Suppose -3*x = -2*m + 2, 3*x + 3*m - 1 - 17 = 0. Suppose 4 = x*p - 0*p. Suppose 0*b - 1/7*b**p + 0 - 1/7*b**3 = 0. Calculate b.
-1, 0
Factor -j**3 + 4*j**3 + 9 + 0 - 63*j - 42 - 27.
3*(j - 5)*(j + 1)*(j + 4)
Let j = -494612 - -989225/2. Let -j*z**4 - 97/2*z**2 - 72*z - 9*z**3 - 32 = 0. What is z?
-8, -1
Let l = -582 - -574. Let a be l/(-7) + (-84)/(-98). Determine c, given that 0 - 1/3*c**a - 2*c = 0.
-6, 0
Let c(n) = 215*n - 10533. Let d be c(49). Determine h, given that 486 + 54*h + 3/2*h**d = 0.
-18
Factor 0*n + 0 - 3/4*n**3 - 9*n**2.
-3*n**2*(n + 12)/4
Factor -2521*q + 863*q**2 + 833*q