+ 3)/3
Let a = -278 - -573. Suppose 299*t - 20 = a*t. Suppose -1/2*k**t - k + 3/2*k**3 - 1/2*k**2 + 1/2*k**4 + 0 = 0. Calculate k.
-1, 0, 1, 2
Let g(w) = -w**2 - 4*w. Let l be g(-3). Suppose o + 2*s - 12 = 0, 3*s = -2*o - l*o + 32. Factor 9*y**3 - o*y**3 - 33 + 33.
5*y**3
Factor -364*m + 1306*m**2 + 1179396 + 4708*m + 1304*m**2 - 2606*m**2.
4*(m + 543)**2
Let z be ((-402)/24 + 18)*-16 + 22. Factor 14/9*x**z - 34/9*x + 2/9*x**3 + 2.
2*(x - 1)**2*(x + 9)/9
Let n(d) be the first derivative of d**6/180 - 7*d**5/15 + 49*d**4/3 + 2*d**3/3 - 6*d**2 - 59. Let q(c) be the third derivative of n(c). Factor q(b).
2*(b - 14)**2
Let q(a) be the second derivative of -a**7/210 + a**6/30 + a**5/3 - 5*a**3 + 37*a. Let m(v) be the second derivative of q(v). What is u in m(u) = 0?
-2, 0, 5
Let s(u) = -5*u**3 - 109*u**2 - 1409*u + 2352. Let a(c) = -11*c**3 - 218*c**2 - 2821*c + 4704. Let k(q) = -3*a(q) + 7*s(q). Let k(w) = 0. Calculate w.
-28, 3/2
Let l(f) be the second derivative of 9*f - 1/6*f**4 + 15 - 98/3*f**3 - 2401*f**2. Factor l(s).
-2*(s + 49)**2
Let u = 38 - 29. Let h = 11 - u. Factor -h*o + 386*o**2 + 0 - 426*o**2 - 12*o + 6.
-2*(4*o - 1)*(5*o + 3)
Factor -30 + 5*l**2 - 4*l**2 - 32*l + 20*l + 25*l.
(l - 2)*(l + 15)
Factor 10289*d**3 + 13*d**4 + 10*d**2 - 568*d**5 + 567*d**5 - 10321*d**3 + 10*d**2.
-d**2*(d - 10)*(d - 2)*(d - 1)
Let x(t) be the first derivative of 5*t**4/4 + 20*t**3 + 110*t**2 + 240*t + 1740. Suppose x(c) = 0. What is c?
-6, -4, -2
Let i be (6504/36)/((-5)/(-3) - 1). Let q = i + -266. Find c, given that -16/7*c**q + 9/7*c - 1/7 + 24/7*c**4 + c**3 - 23/7*c**2 = 0.
-1, 1/4, 1
Let f(h) = 10*h**2 - 901*h + 207028. Let b(w) = 3*w**2 + 3*w + 1. Let i(j) = -3*b(j) + f(j). Factor i(c).
(c - 455)**2
Let t(m) = 5*m**2 - 7*m - 72. Let w = 86 - 89. Let i(f) = 5*f**2 - 8*f - 73. Let g(c) = w*i(c) + 2*t(c). Suppose g(u) = 0. Calculate u.
-3, 5
Find d such that -15/2*d**4 + 9 - 57/2*d**3 + 177/2*d**2 - 123/2*d = 0.
-6, 1/5, 1
Factor -1690*d**2 + 1824*d - 6*d**3 + 1507*d**2 - 3816*d**2 - 2926*d**2 + 1455*d**2.
-2*d*(d + 912)*(3*d - 1)
Let a = -9970 - -9973. Let y(x) be the third derivative of 0 - 5/336*x**8 - 7/120*x**6 - 6*x**2 + 0*x**4 + 11/210*x**7 + 1/60*x**5 + 0*x**a + 0*x. Factor y(q).
-q**2*(q - 1)**2*(5*q - 1)
Let k(f) be the first derivative of f**4/10 - 326*f**3/15 + 32*f**2 + 648*f/5 - 1920. Determine g, given that k(g) = 0.
-1, 2, 162
Let d be 5 + (0 - 4*6/8). Factor -21*k**d + 31*k + 1 + 23*k - 7 - 18.
-3*(k - 2)*(7*k - 4)
Let o be 825/990 + 22/6. Let v be ((-9)/15)/(1/(-5)). Factor 0 + 3/2*r**2 + 9/2*r**4 - o*r**v + 0*r - 3/2*r**5.
-3*r**2*(r - 1)**3/2
Let j(a) = a**3 + 36*a - 428. Let b be j(6). Suppose 438/5*c**2 - 288/5*c - 18*c**3 - 12/5*c**b - 264/5 = 0. What is c?
-11, -1/2, 2
Let k(i) = -i**2 + 24*i - 103. Let p be k(6). Suppose 3*r - 66 = -3*b, 0 = p*r - 4*b - 92 - 36. Factor -12*u + r*u**2 + 3/2.
3*(4*u - 1)**2/2
Let r(l) = 2*l**2 + 21*l + 310. Let i be r(-26). Let z = -5579/5 + i. Suppose 0*f**2 + 0 + z*f**5 + 1/5*f**3 + 0*f - 2/5*f**4 = 0. Calculate f.
0, 1
Let m(r) = 8*r**2 + 98*r + 54. Let x(a) = 7*a**2 + 95*a + 56. Let p(g) = -8*m(g) + 9*x(g). Suppose p(i) = 0. Calculate i.
-1, 72
Let n(m) be the second derivative of m**5/12 - 50*m**4/3 + 4000*m**3/3 + 2*m**2 + 3*m + 1. Let s(k) be the first derivative of n(k). Solve s(v) = 0 for v.
40
Let q be (-1)/(-1 + -2)*-3 + 2. Let c be (-4)/(-7 - (-4 - q)). Solve 0*n - 3/4 + 3/4*n**c = 0 for n.
-1, 1
Let h be (-4 + -595)/(3/6). Let u = 1200 + h. Suppose -2/9*w**4 - 2/9*w**u + 0*w + 0 + 4/9*w**3 = 0. What is w?
0, 1
Let t(p) be the third derivative of -2/3*p**5 + 8/105*p**7 - 1/84*p**8 - 1/30*p**6 + 0*p - 93*p**2 + 2/3*p**4 + 16/3*p**3 + 0. Factor t(v).
-4*(v - 2)**3*(v + 1)**2
Let b = 47725/9 + -47722/9. Suppose 4/3*j**2 - 4/3*j**4 - b*j**5 + 0 + 4/3*j - j**3 = 0. Calculate j.
-2, -1, 0, 1
Let g(j) = j**3 + 25*j**2 - 75*j - 7. Let l(a) = -a**2 + 2*a - 1. Let h(t) = -4*g(t) - 92*l(t). Suppose h(m) = 0. Calculate m.
-6, -1, 5
Let w(a) = 6*a**3 + 40*a**2 + 4*a. Let b(x) = 13*x**3 + 78*x**2 + 9*x. Let v(y) = 4*b(y) - 9*w(y). Solve v(p) = 0.
-24, 0
Let u(i) = -i**4 - i**2 - 2*i - 2. Let r(d) = -13*d**4 + 4*d**3 + 115*d**2 - 22*d - 22. Let j(t) = 2*r(t) - 22*u(t). Factor j(m).
-4*m**2*(m - 9)*(m + 7)
Suppose 4119*y = 4129*y - 20. Find k such that -33/2*k + 8 + k**y = 0.
1/2, 16
Determine h, given that -324/7*h**2 - 2/7*h**5 - 8*h**3 + 68/7*h**4 - 198/7*h + 0 = 0.
-1, 0, 3, 33
Let c(g) = -8*g**4 + 156*g**3 - 312*g**2 + 148*g + 48. Let a(p) = -9*p**4 + 155*p**3 - 313*p**2 + 147*p + 60. Let t(w) = 4*a(w) - 5*c(w). Factor t(h).
4*h*(h - 38)*(h - 1)**2
Let a(d) = d**2 - 15*d + 56. Let t be a(9). Suppose 8 - 10*r**4 - 5*r**t + 12*r**4 - 5*r**2 = 0. What is r?
-2, -1, 1, 2
Let p(i) be the first derivative of 2*i**3/33 + i**2 - 552*i/11 - 1657. Find a such that p(a) = 0.
-23, 12
Suppose 11 + 17 = 14*u. Factor 38*r**2 - 24*r**2 - 9*r**u + 125 + 50*r.
5*(r + 5)**2
Let z = -88 + 221. Let i = z + -121. Find n such that i*n**2 + 8*n - 8*n**2 + 0*n = 0.
-2, 0
Let m be ((-135)/(-104 - 31))/(2 + 5/(-3)). Factor -79/6*o**2 - 9*o + 8/3 - 3/2*o**m.
-(o + 1)*(o + 8)*(9*o - 2)/6
Suppose 0 = 4*r + 5*i - 0*i + 1, -5*i = -4*r + 9. Suppose 2*p + n - 4 + r = 0, -4*p + 2*n + 10 = 0. Factor 0*f**2 + 0*f**p - 3*f**2 - 3 + 6*f.
-3*(f - 1)**2
Let d(p) be the first derivative of 2*p + 109 - 1/8*p**4 - 2*p**2 + 5/6*p**3. Suppose d(l) = 0. What is l?
1, 2
Let p(c) be the second derivative of -45*c**2 - 15/2*c**3 + 0 + 17*c - 5/12*c**4. Factor p(r).
-5*(r + 3)*(r + 6)
Let j(a) be the third derivative of -a**7/630 + a**6/180 + 3*a**5/20 - 6*a**3 - 39*a**2 - 23*a. Suppose j(x) = 0. What is x?
-3, 2, 6
Let f be -47 + 37 + 0 + 13. Suppose -24 = -11*z + f*z. Determine i, given that 11/2*i - 3*i**2 + 1/2*i**3 - z = 0.
1, 2, 3
Let n(x) = 4*x**2 + 33*x + 11. Let w(h) = -h**2 + 22*h + 38. Let i be w(24). Let q(l) = -9*l**2 - 65*l - 21. Let g(a) = i*n(a) - 6*q(a). Factor g(d).
2*(d + 4)*(7*d + 2)
Let f = 929809/139470 + -3/46490. Determine u, given that 2/3*u**5 - 16/3*u**4 + 40/3*u**3 - 14*u - f*u**2 + 12 = 0.
-1, 1, 2, 3
Factor 162/5*g**2 - 2/5*g**3 - 4374/5*g + 39366/5.
-2*(g - 27)**3/5
What is h in 12/5*h**2 + 1101/5 + 4407/5*h = 0?
-367, -1/4
Let m(i) be the first derivative of i**3/12 - 665*i**2/8 - 7739. Let m(w) = 0. Calculate w.
0, 665
Let 585225/7*s + 3/7*s**3 + 2295/7*s**2 + 49744125/7 = 0. What is s?
-255
Let u = 333944/5 + -66781. Determine l so that 18 + u*l + 3/5*l**2 = 0.
-10, -3
Suppose -2*z + 6*y - 4 = 3*y, 4*y = 4*z. Suppose 36 + 4*x**2 - 84*x + 8*x**4 + 36*x**3 - 15*x**4 + 15*x**z = 0. What is x?
-3, 1/2, 1
Let o(k) be the third derivative of -k**5/210 - 31*k**4/42 + 3*k**3 - 31*k**2 - 16. Suppose o(r) = 0. Calculate r.
-63, 1
Let g(f) be the second derivative of -1/30*f**6 + 2*f**3 - 12*f - 2*f**2 - 13/12*f**4 + 3 + 3/10*f**5. Factor g(i).
-(i - 2)**2*(i - 1)**2
Let x = 288 + -284. Factor h**3 - 2*h**x + 2*h**2 + 3268 - h**5 - 3268.
-h**2*(h - 1)*(h + 1)*(h + 2)
Let t = 430918 - 430916. Let -22/7*v**t - 10/7*v**3 + 6/7 + 26/7*v = 0. What is v?
-3, -1/5, 1
Let q(r) be the first derivative of -2*r**5/55 - 7*r**4/22 - 12*r**3/11 - 20*r**2/11 - 16*r/11 + 641. Factor q(g).
-2*(g + 1)*(g + 2)**3/11
Let j(d) be the first derivative of 57 - 5*d + 5*d**2 + 0*d**3 - 5/2*d**4 + d**5. Factor j(o).
5*(o - 1)**3*(o + 1)
Suppose -166*n = 7*n. Let q(i) be the third derivative of -1/120*i**6 + 0*i**4 - 19*i**2 + n*i**5 + 0*i**3 + 0*i + 0. Factor q(d).
-d**3
Let a(o) be the second derivative of -o**4/90 - 1654*o**3/45 - 683929*o**2/15 + 12*o - 87. Factor a(k).
-2*(k + 827)**2/15
Let x(a) be the second derivative of 3/10*a**6 + 2*a + 1/2*a**3 + 21/20*a**5 + 0*a**2 + 5/4*a**4 - 9. Factor x(g).
3*g*(g + 1)**2*(3*g + 1)
Let d(n) be the third derivative of n**5/60 - 35*n**4/8 + 52*n**3/3 + 2*n**2 - 2*n. Factor d(p).
(p - 104)*(p - 1)
Let f(m) be the second derivative of 1/20*m**5 - 13/12*m**4 - 4*m + 0 + 17/2*m**3 - 63/2*m**2. Factor f(z).
(z - 7)*(z - 3)**2
Let s(j) be the third derivative of -j**5/210 + 103*j**4/12 + 482*j**3/7 - 4*j**2 - 519. Factor s(y).
-2*(y - 723)*(y + 2)/7
Let g(c) be the first derivative of -2*c**3/57 + 187*c**2/19 + 376*c/19 - 2461. Determine z, given that g(z) = 0.
-1, 188
Suppose -7*d + 21*d = 56. Suppos