 = 0. Calculate i.
-1, 1
Factor 9 - 5*i**2 + 3/2*i.
-(2*i - 3)*(5*i + 6)/2
Let y = 23626/45 - 525. Let u(c) be the second derivative of 0*c**3 + 0 + 1/63*c**7 - 1/15*c**5 - 5*c + 0*c**2 - y*c**6 + 0*c**4. Determine z so that u(z) = 0.
-1, 0, 2
Let t = -485768 - -3392560/7. Let n = 1120 + t. Solve -6/7*k - 2*k**3 - 4/7 + n*k**2 = 0.
-2/7, 1
Suppose -2*g - 3*g + 2 = 3*x, 0 = -3*g - 6. Solve 16 - 12*c**2 - 64*c + 0*c**4 - 17*c**x + 52*c**3 + c**4 = 0.
-1, 1/4, 2
Let 3*q + 9 + 1/4*q**2 = 0. Calculate q.
-6
Let a = 64828/9 + -7202. Determine b, given that -a*b**2 - 2/3 - 14/9*b - 2/9*b**3 = 0.
-3, -1
Let s(t) = 2 + 16*t - 6*t + 3*t**2 - t**3 - 12*t. Let f be s(2). Factor -53*j**f - 64*j + 13 + 476*j**4 + 268*j**3 - 39*j**2 + 196*j**5 + 3.
4*(j + 1)**3*(7*j - 2)**2
Let x be 1 + 3*2/(-9). Let g be (-4)/(-38) - 960/(-1710). Determine i so that -7/3*i - 5/3*i**3 + g + 3*i**2 + x*i**4 = 0.
1, 2
Let h be (9 + (-1608)/180)/(2/25). Let u(i) be the second derivative of -h*i**3 - 1/12*i**4 + 1/20*i**5 + 0 - i - 3/2*i**2. Factor u(s).
(s - 3)*(s + 1)**2
Let o be (-3 + -5)*(0 + -2). Suppose 0 = 4*m - 2*h - o, -2*h - 19 = -3*m - 2*m. Find k, given that 35*k**4 + 30*k**3 - 6*k**5 - 14*k**4 - 39*k**m = 0.
0, 1/2, 3
Let j(o) be the second derivative of -o**6/180 + o**5/30 - 5*o**4/72 + o**3/18 + 12*o + 4. Factor j(p).
-p*(p - 2)*(p - 1)**2/6
Let g = 26 - 24. Factor -135*l**3 - 5*l**5 + 31*l**g + 58*l**4 - 13*l**4 - 28*l**2 + 132*l**2.
-5*l**2*(l - 3)**3
Determine u, given that 0 + 87/2*u**3 + 3/2*u**5 + 27/2*u**4 + 27*u + 117/2*u**2 = 0.
-3, -2, -1, 0
Suppose 0 = 6*l - l - 10. Find n, given that n**2 + 0*n**3 - 2*n**3 + n**3 + n - l*n**4 + n**4 = 0.
-1, 0, 1
Let g(h) be the third derivative of -h**7/210 - 13*h**6/60 - 47*h**5/20 + 91*h**4/6 - 98*h**3/3 - 121*h**2. Find n, given that g(n) = 0.
-14, 1
Let s = -1152 - -2305/2. Factor s*i - 1/4*i**2 + 0.
-i*(i - 2)/4
Let q(l) be the second derivative of l**9/5880 + l**8/1960 - l**7/2940 - l**6/420 + 41*l**4/12 + 39*l. Let v(g) be the third derivative of q(g). Factor v(k).
6*k*(k + 1)**2*(3*k - 2)/7
Suppose -19*s = -17*s - 10. Factor -10*l**3 + l**3 + s + 5*l + 4*l**2 - l**3 + 5*l**5 + 5*l**4 - 14*l**2.
5*(l - 1)**2*(l + 1)**3
Factor -5*j**2 + 4 - 85*j - 63*j + 2 + 147*j.
-(j - 1)*(5*j + 6)
Let d(i) be the first derivative of -81*i**5/5 - 87*i**4/4 + 52*i**3 + 6*i**2 + 37. Determine f, given that d(f) = 0.
-2, -2/27, 0, 1
Let o = -1104892/8605 - -2/1721. Let q = -128 - o. Factor -1/5 + q*g**3 + 0*g**2 - 2/5*g + 1/5*g**4.
(g - 1)*(g + 1)**3/5
Let d(g) = 2*g**2 + g + 1. Let p(a) = 16*a**2 - 70*a + 342. Let t(x) = -6*d(x) + p(x). Determine o so that t(o) = 0.
7, 12
Let i = 1153/1740 - -13/348. Determine s, given that -6/5*s + 2/5 - i*s**2 = 0.
-2, 2/7
Let z(f) be the second derivative of 2*f**7/21 + 8*f**6/15 + 4*f**5/5 - 2*f**4/3 - 10*f**3/3 - 4*f**2 - 31*f - 1. Factor z(k).
4*(k - 1)*(k + 1)**3*(k + 2)
Let v(k) = -8*k**2 - 208*k + 2728. Let w(x) = -x**2 + 2. Let l(q) = v(q) - 12*w(q). Solve l(c) = 0 for c.
26
Let q be 4 + 0 + (-4)/2. Let b(z) be the first derivative of 3/8*z**q - 5/4*z**3 + 3/4*z**4 - 5 + 0*z. Factor b(k).
3*k*(k - 1)*(4*k - 1)/4
Let s(h) be the first derivative of h**4/102 + 7*h + 19. Let f(x) be the first derivative of s(x). Factor f(m).
2*m**2/17
Let i be (-7)/((-189)/6) - (-1720)/36. Suppose i = 2*a + 10*a. What is c in -9/4*c**3 - 3/4*c**2 - 3/4*c**a + 9/4*c + 3/2 = 0?
-2, -1, 1
Let 111/5*m**3 + 0 - 21/5*m**5 + 3*m**4 + 18/5*m + 93/5*m**2 = 0. What is m?
-1, -2/7, 0, 3
Let q be 29/145*(9 + 1). Determine h so that 0 + 4/3*h**4 + 0*h + 0*h**3 + 4/9*h**5 - 16/9*h**q = 0.
-2, 0, 1
Let t = -5/4 + 7/4. Let s be 9 - 348/36 - (-33)/(-72)*-2. What is x in s*x**2 - t*x**3 + 0 + 1/2*x**5 + 0*x - 1/4*x**4 = 0?
-1, 0, 1/2, 1
Let r(u) = 17*u**2 + 113*u - 42. Let b(d) = 205*d**2 + 1355*d - 505. Let m(z) = 2*b(z) - 25*r(z). Factor m(w).
-5*(w + 8)*(3*w - 1)
Let y(r) be the second derivative of -1/90*r**5 + 5/27*r**3 - 24*r + 2/3*r**2 - 1/27*r**4 + 0. Determine s so that y(s) = 0.
-3, -1, 2
Let r(x) = 14*x**2 + 67*x + 62. Let w(i) = 17*i**2 + 66*i + 61. Let g(c) = -4*r(c) + 3*w(c). What is z in g(z) = 0?
-13, -1
Let l(i) be the third derivative of 0*i + 0 - 5/16*i**3 + 1/16*i**4 - 13*i**2 + 1/160*i**5. Find b such that l(b) = 0.
-5, 1
Let a = -80 + 82. Let 8*u**2 - 23*u**2 + 35*u**a + 20*u + 5*u**3 = 0. What is u?
-2, 0
Let h(t) be the second derivative of -7*t**5/50 - 13*t**4/15 + 8*t**3/15 + 135*t. Factor h(o).
-2*o*(o + 4)*(7*o - 2)/5
Factor -3/2*n**3 + 21 + 15*n**2 - 69/2*n.
-3*(n - 7)*(n - 2)*(n - 1)/2
Let s(b) be the third derivative of b**8/756 - b**6/18 + 2*b**5/27 + 10*b**4/9 - 16*b**3/3 - 8*b**2. Factor s(j).
4*(j - 2)**3*(j + 3)**2/9
Factor 85*u**3 - 42*u**3 - 86*u + 92*u**2 - 41*u**3 - 8*u.
2*u*(u - 1)*(u + 47)
Let u(r) = -4*r**2 + 13*r - 19. Let s(n) = 36*n**2 - 116*n + 172. Suppose 4*c = -30 - 82. Let y(z) = c*u(z) - 3*s(z). Factor y(i).
4*(i - 2)**2
Suppose 5*k - 108 = 2. Let c = k + -18. Find w such that 16*w**c + 8 - 8*w**2 + 28*w**3 - 12*w**2 - 28*w - 4*w**2 = 0.
-2, -1, 1/4, 1
Let h(j) be the first derivative of 4*j**5/5 - 5*j**4 + 12*j**3 - 14*j**2 + 8*j + 88. Determine t, given that h(t) = 0.
1, 2
Let u(y) = -y**4 + y**3 + y**2 - y + 2. Let v(q) = 2*q**4 + 2*q - 3. Suppose 35*c = 31*c + 8. Let b(o) = c*v(o) + 3*u(o). Factor b(a).
a*(a + 1)**3
Suppose -42 = 2*l + 3*l - 57. Factor -2/5*w**l + 4/5 + 2/5*w - 4/5*w**2.
-2*(w - 1)*(w + 1)*(w + 2)/5
Let y = 288/11 + -4298/165. What is c in 0 - y*c**2 + 2/5*c = 0?
0, 3
Let s(p) be the second derivative of p**6/30 + 11*p**5/10 + 97*p**4/12 - 44*p**3 + 72*p**2 + p - 236. Find z such that s(z) = 0.
-12, 1
Let h be 5/(90/4) + (-38)/9. Let i be h - (-2 + 88/(-20)). Solve 8/5*v + 2/5*v**4 + 2/5 + i*v**2 + 8/5*v**3 = 0.
-1
Suppose -335 + 4895*u**3 - 4915*u**3 - 268*u - 1412*u - 1365*u**2 = 0. Calculate u.
-67, -1, -1/4
Let w(g) be the first derivative of 2*g**5/95 + 3*g**4/19 - 32*g**2/19 + 109. Factor w(a).
2*a*(a - 2)*(a + 4)**2/19
What is g in 5/3 + 5/3*g**2 - 10/3*g**4 - 9/2*g + 1/2*g**5 + 4*g**3 = 0?
-1, 2/3, 1, 5
Factor 4/5*p**2 + 84/5 - 88/5*p.
4*(p - 21)*(p - 1)/5
Factor -13638*i - i**5 - 3 - 2*i**3 - 2*i**2 + 5*i**4 - 4*i**3 + 13645*i + 0*i**3.
-(i - 3)*(i - 1)**3*(i + 1)
Let d(v) be the second derivative of 1/10*v**5 - 5*v + 0*v**2 - 1/15*v**6 + 1/6*v**4 + 0 - 1/3*v**3. Factor d(w).
-2*w*(w - 1)**2*(w + 1)
Let u(d) be the first derivative of -d**6/75 - 4*d**5/5 - 573*d**4/50 + 104*d**3/3 - 676*d**2/25 + 125. Factor u(q).
-2*q*(q - 1)**2*(q + 26)**2/25
Factor 76/9*g**2 - 2/9*g**3 - 640/9*g - 1600/9.
-2*(g - 20)**2*(g + 2)/9
Let n(i) be the third derivative of 1/24*i**5 + 0 - 1/24*i**4 - 1/60*i**6 + 0*i + 0*i**3 - 10*i**2 + 1/420*i**7. Suppose n(c) = 0. Calculate c.
0, 1, 2
Suppose -3/2*j**2 + 3*j + 9/2 = 0. Calculate j.
-1, 3
Let m be ((-78)/4)/((-3)/24). Let b be ((-1)/(-4))/(13/m). Suppose 4*l**3 - 5 - 4*l - l**4 + 4 + b - l**4 = 0. Calculate l.
-1, 1
Let h(u) = 20*u**3 - 18*u**3 - u**2 + 3*u**2 - u - u**2. Let t be h(-1). Factor -9/2*g**3 - 7/2*g**4 + t + 6*g**2 + 2*g.
-g*(g - 1)*(g + 2)*(7*g + 2)/2
Let j(y) be the first derivative of 0*y**2 + 1/2*y**4 - 1/2*y**5 + 6 + 2/3*y**3 - 13*y. Let a(z) be the first derivative of j(z). Suppose a(n) = 0. Calculate n.
-2/5, 0, 1
Let b = -1247/18 + 1295/18. Solve -2/3*r**5 - 10/3*r**2 + b*r + 0 + 10/3*r**4 - 2*r**3 = 0.
-1, 0, 1, 4
Let b(s) be the second derivative of -s**8/252 + s**7/210 + s**6/360 + 15*s**2/2 + 33*s. Let f(z) be the first derivative of b(z). Factor f(c).
-c**3*(c - 1)*(4*c + 1)/3
Factor 5/4 - 1/4*w**3 + 1/4*w - 5/4*w**2.
-(w - 1)*(w + 1)*(w + 5)/4
Let b(z) be the third derivative of -z**7/1260 - z**6/540 + z**5/180 + z**4/36 - 3*z**3/2 + 9*z**2. Let l(y) be the first derivative of b(y). Solve l(k) = 0.
-1, 1
Determine f, given that 2/7*f**3 + 40/7*f + 0 - 18/7*f**2 = 0.
0, 4, 5
Let k(r) be the first derivative of 4*r**5/5 + 3*r**4/2 - 2*r**3 - 2*r**2 + 144. Solve k(w) = 0.
-2, -1/2, 0, 1
Factor -10 + 10*j - 7 - 7*j**2 - j**3 - 4 + 37.
-(j - 2)*(j + 1)*(j + 8)
Let a(j) = -j**3 - 12*j**2 + 12*j + 15. Let x be a(-13). Factor -76*z + 158*z - x*z**2 - 50*z + 16 - 20*z**3.
-4*(z - 1)*(z + 2)*(5*z + 2)
Let y(n) = -4*n**2 - 9*n + 3. Let a be y(0). Factor a*g - 15/2*g**2 + 0 - 9/2*g**3.
-3*g*(g