 = 0. What is n?
-108, -2, -2/7, 1
Factor -12500 - 100*a - 6*a**2 + 11*a**2 - 400*a - 10*a**2.
-5*(a + 50)**2
Let d = 281 - 272. Let a be 15/(-20)*((-42)/d)/7. Determine b so that 2/3*b + a*b**2 - 2/3 = 0.
-2, 2/3
Factor 316*h**2 - 170*h + 6289*h**3 - 81*h**2 - 6354*h**3.
-5*h*(h - 1)*(13*h - 34)
Let b = -40553 - -40555. Let v(u) be the second derivative of 8/21*u**3 + 1/21*u**4 - 43*u - 8/7*u**b - 1/35*u**5 + 0. Factor v(r).
-4*(r - 2)*(r - 1)*(r + 2)/7
Let c = -9481/12 - -4745/6. Let 9/4*x**3 - 3/4*x**4 + c*x**2 - 3/4*x**5 + 0 - 3/2*x = 0. What is x?
-2, -1, 0, 1
Suppose 5*s - 2*g = 94, 2*s - 71 = -2*s + 3*g. Suppose 114 - 24 = 45*p. Factor -8*k + s*k**p + 3*k**3 - 17*k + 2*k**3.
5*k*(k - 1)*(k + 5)
Let p be (1 - -10) + -2 + -7. Suppose 5*u - 2*k - 25 = -9, -6 = p*k. Find h, given that -h**u - 1/3 + 1/3*h**3 + h = 0.
1
Let y(q) be the third derivative of -q**8/84 + 2*q**7/7 - 13*q**6/6 + 7*q**5 - 9*q**4 + 1370*q**2. Determine t, given that y(t) = 0.
0, 1, 2, 3, 9
Find h, given that -18*h**3 + 0 - 33*h**2 + 36*h + 4*h**4 - 49*h**2 - 40*h**2 + 16 + 120*h**2 = 0.
-1, -1/2, 2, 4
Let w = -3/1924 + 9629/5772. Let l(b) be the first derivative of -10*b + 5/2*b**2 + w*b**3 + 23. Factor l(o).
5*(o - 1)*(o + 2)
Let a(s) be the third derivative of -s**7/630 - 19*s**6/360 + s**5/60 + 55*s**4/72 - 19*s**3/9 + 20*s**2 + 15. Factor a(f).
-(f - 1)**2*(f + 2)*(f + 19)/3
Let g(t) = -7*t**3 + t**2 + t. Let x be g(-1). Suppose 3*h + 1 = x. What is o in 2*o**h - 3*o**2 - 6 + 7 = 0?
-1, 1
Suppose 7 = -5*w + 67. Factor -q**2 - 9 - q + 44 + 7 - w.
-(q - 5)*(q + 6)
Let h(d) be the third derivative of 2/75*d**5 + 0 + 14*d + 0*d**3 - 1/50*d**6 - 1/60*d**4 + 4/525*d**7 + 2*d**2 - 1/840*d**8. Factor h(f).
-2*f*(f - 1)**4/5
Let s(m) be the first derivative of 2*m**3 + 1/4*m**2 + 9/2*m**4 + 0*m - 64. Factor s(f).
f*(6*f + 1)**2/2
Let r(p) be the third derivative of -p**5/4 + 3205*p**4/12 + 2140*p**3/3 + 304*p**2. Let r(w) = 0. Calculate w.
-2/3, 428
Let p(y) = y**3 - 6*y**2 + 2*y - 12. Let d(w) = w**2 + 3*w + 2. Let z be d(-4). Let x be p(z). Find j, given that x + 10*j - 10*j**2 + 8 + 12*j**2 + 0 = 0.
-4, -1
Let n = -1964548 + 5893648/3. Factor 0 + 1/3*o**4 + 4/3*o**2 + 0*o - n*o**3.
o**2*(o - 2)**2/3
Let f(r) be the third derivative of r**5/15 - 410*r**4/3 + 336200*r**3/3 - 2*r**2 + 1188*r. Factor f(y).
4*(y - 410)**2
Let h(b) = 157*b**2 - 125*b - 268. Let w(s) = 94*s**2 - 62*s - 134. Let t(p) = -3*h(p) + 5*w(p). Factor t(v).
-(v - 67)*(v + 2)
Let s(p) be the second derivative of 1/9*p**4 - 8/3*p**2 + 0 + 16*p - 2/3*p**3. Solve s(d) = 0 for d.
-1, 4
Let k(b) = 41*b**2 - 2*b - 1. Let x(w) = 66*w**2 + 42*w + 4. Let d(r) = -2*k(r) + x(r). Find u such that d(u) = 0.
-1/8, 3
Let r be 24/21*28/8. Suppose 9 = -3*q, 5*j = -r*q + q + 41. What is o in -4*o**2 - 9*o**3 - j*o**3 + 17*o**3 + 0 + 2*o + 4 = 0?
-2, -1, 1
Let m(o) be the second derivative of o**2/2 + 77*o. Let f(h) = -h**2 + 98*h - 2402. Let d(n) = f(n) + m(n). Factor d(w).
-(w - 49)**2
Factor 0 + 3/7*r**2 - 3828/7*r.
3*r*(r - 1276)/7
Let i(s) be the third derivative of s**6/360 + s**5/36 - s**4/12 + s**2 + 15*s + 22. Factor i(j).
j*(j - 1)*(j + 6)/3
Let a(t) be the second derivative of 21/2*t**2 - 15/2*t**3 + t - 57 + 9/4*t**4 - 3/20*t**5. Suppose a(s) = 0. Calculate s.
1, 7
Factor -2/7*u**2 + 0 - 158/7*u.
-2*u*(u + 79)/7
Let k be -20 - (2/(-5) - 13/5). Let j be 10 + -12 - (k + -1). Factor 8*d**5 + 73*d**3 + j*d**4 - 53*d**3 - 4*d**5 + 8*d**2.
4*d**2*(d + 1)**2*(d + 2)
Factor 60/7 - 57/7*n - 6/7*n**2 + 3/7*n**3.
3*(n - 5)*(n - 1)*(n + 4)/7
Let p(k) be the second derivative of k**4/4 - k**3/2 - 45*k**2 - 298*k + 1. Factor p(t).
3*(t - 6)*(t + 5)
Factor -374/9*k**3 + 0 + 0*k + 0*k**2 - 2/9*k**4.
-2*k**3*(k + 187)/9
Factor -89*z**4 + 409 + 91*z**4 - 409 + 102*z - 30*z**3 - 74*z**2.
2*z*(z - 17)*(z - 1)*(z + 3)
Let d = 39653 + -118958/3. Factor -d*l**3 + 0*l + 1/3*l**2 + 0.
-l**2*(l - 1)/3
Let s(f) be the third derivative of f**8/1176 - 13*f**7/735 + f**6/7 - 64*f**5/105 + 32*f**4/21 - 16*f**3/7 + 879*f**2. Find q such that s(q) = 0.
1, 2, 6
Determine o so that 4/7*o**3 + 164/7*o + 64/7*o**2 + 104/7 = 0.
-13, -2, -1
Determine l so that -2*l**3 + 9 - 6*l**3 + 6*l**3 - 3 + 2 - 6*l**2 = 0.
-2, 1
Suppose 0 = 80*s - 77*s + 102. Let b = -9 - s. Suppose -b*k**2 + 68*k**2 - 12*k + 16 - 19*k**2 - 28*k**2 = 0. Calculate k.
-4, 1
Suppose 4*c - 33 = -25. Suppose -3*z + 7 + c = 0. Factor 5*n**2 + 0 + 0 - z*n**3 + 6*n - 2*n**2.
-3*n*(n - 2)*(n + 1)
Let k(f) be the second derivative of -f**5/10 + 5*f**4/2 - 500*f**2 + 146*f - 39. Determine l so that k(l) = 0.
-5, 10
Suppose 0 = 3*n - 0*n + b - 266, 3*n - 4*b - 256 = 0. Let m be -7 - n/(-12) - -1. Find z such that -m*z**2 + 5/3*z - 1/3 = 0.
1/4, 1
Find b such that -534/13*b**3 + 3374/13*b**2 - 2074/13*b + 18/13*b**4 + 336/13 = 0.
1/3, 8, 21
Let s be ((-90)/(-105))/(550/198*2/35). Determine w, given that 6 + s*w - 3/5*w**2 = 0.
-1, 10
Let s = -380788 - -380790. Find b, given that -32 - 8*b - 1/2*b**s = 0.
-8
Let t(c) be the first derivative of c**4/10 - 32*c**3/15 + 29*c**2/5 - 28*c/5 - 2029. Factor t(n).
2*(n - 14)*(n - 1)**2/5
Let g(j) be the third derivative of -1/12*j**6 + 8/45*j**5 - 4/315*j**7 + 0 + 0*j + 23/12*j**4 - 2*j**3 - 56*j**2. What is x in g(x) = 0?
-3, 1/4, 2
Let q be -5 - (-38 - 15/(-3)). Suppose -q*b - 7*b + 17*b - 3*b**2 = 0. Calculate b.
-6, 0
Let f(l) be the first derivative of 4*l**5/5 - 35*l**4 + 128*l**3 + 8008*l**2 + 15488*l - 722. Factor f(u).
4*(u - 22)**2*(u + 1)*(u + 8)
Let c(b) = -20*b**4 - 5*b**3 + 5*b**2 - 15*b + 5. Let y(j) = 31*j**4 + 9*j**3 - 7*j**2 + 23*j - 8. Let g(u) = 8*c(u) + 5*y(u). Factor g(m).
-5*m*(m - 1)**2*(m + 1)
Let t be 8/(-12) + (-3)/(1 + 8) - -3. Let a(f) = 3*f**3 + f**2 - 3*f + 3. Let i be a(2). What is h in 4*h**3 + 23 - 19*h + 16*h**2 + t - 1 - i*h = 0?
-6, 1
Let x(z) be the second derivative of 5*z**6/18 + 9*z**5/2 - 2351*z**4/36 - 924*z**3 + 47432*z**2/3 + z + 165. Factor x(p).
(p + 11)**2*(5*p - 28)**2/3
Let b be 2 + (0 - 5 - -80). Find o, given that 68 - 161 + 2*o**2 + 4*o + b = 0.
-4, 2
Suppose -5*c + 2730 + 182 = -4*f, -3619 = 5*f - c. Let d = f - -726. Factor 0*x + 7/4*x**d + 1/4*x**2 + 2*x**4 + 0 - 4*x**5.
-x**2*(x - 1)*(4*x + 1)**2/4
Let x(f) be the first derivative of -2*f**5/5 - 3*f**4/2 + 40*f**3/3 + 84*f**2 + 160*f - 121. Let x(w) = 0. Calculate w.
-4, -2, 5
Suppose 5268*x - 156 = 5190*x. Factor -3/7*d**x + 6/7*d + 45/7.
-3*(d - 5)*(d + 3)/7
Solve -2947*l**2 - 2513*l**2 - 5*l**5 + 1440*l**2 + 3945*l**3 - 985*l**4 + 55*l**3 = 0.
-201, 0, 2
Let o(z) be the second derivative of -z**6/40 - 3*z**5/16 - z**4/8 + z**3 + 466*z + 1. Determine d so that o(d) = 0.
-4, -2, 0, 1
Let x = 71219 + -71217. Factor 1/4*q**3 - 1/4*q + 2*q**x - 2.
(q - 1)*(q + 1)*(q + 8)/4
Let u(z) be the first derivative of -2*z**6/9 - 224*z**5/15 - 198*z**4 + 21824*z**3/9 - 9610*z**2/3 - 144. Find d such that u(d) = 0.
-31, 0, 1, 5
Suppose -1679*a - 1155*a + 34008 = 0. Determine v, given that -5*v - 1/2*v**2 + a = 0.
-12, 2
Let x be 7/(-3)*(-9840)/(-3444) - -8. Determine t, given that 2/3*t**2 + 1/3*t**4 - 1 - 4/3*t**3 + x*t = 0.
-1, 1, 3
Suppose 2*p - 4*g = 5*p - 2233, 0 = g - 1. Let x = -739 + p. Determine w so that -6/7*w**3 + 6/7*w**2 - 4/7*w**x + 0 + 4/7*w = 0.
-2, -1/2, 0, 1
Factor -521*x**2 - 499*x**2 - 668*x**2 - 439*x**2 + 348843*x + 3*x**3 + 81*x**2.
3*x*(x - 341)**2
Let u(d) be the first derivative of 0*d**2 + 1/12*d**6 - 39 + 1/3*d**3 - 3/20*d**5 - 1/8*d**4 - 1/4*d. Let u(i) = 0. What is i?
-1, -1/2, 1
Let o be 2494/129 - 16 - 38/(-21). Factor -o*d - 8/7 + 44/7*d**2.
4*(d - 1)*(11*d + 2)/7
Suppose g = 23 - 21. Suppose -p + 0 + g = 0. Solve -19 + 33*b**3 + 2*b + 5*b**5 + 19 - 22*b**4 - 20*b**2 + p*b = 0.
0, 2/5, 1, 2
Let i(k) be the second derivative of 0*k**2 - 2 + 7/60*k**6 - 9/40*k**5 - 1/2*k**4 + 26*k + 1/3*k**3. Factor i(s).
s*(s - 2)*(s + 1)*(7*s - 2)/2
Let k(d) = -5*d**2 + 263*d + 106. Let y = 966 + -913. Let w be k(y). Find v such that w - v - 1/3*v**2 = 0.
-3, 0
Let w(t) be the third derivative of 0 + 34/15*t**5 + 0*t**4 + 194*t**2 + 1/30*t**6 + 0*t + 0*t**3. Factor w(g).
4*g**2*(g + 34)
Suppose 5*m + 11 = 21. Suppose -12 = -8*z + m*z. Factor -5 + 0 - 5*d - d**4 + 7 + d**3 - z*d**2 + 5*d**2.
-(d - 1)**3*(d + 2)
Let -30*h + 3/7*h**3 - 9