25 + 439*m**4/5 + 1953. Factor y(n).
2*n**3*(n - 878)*(n - 1)/5
Let p(a) be the third derivative of 0 + 1/60*a**5 + 5*a**3 + 0*a - 93*a**2 + 31/24*a**4. What is j in p(j) = 0?
-30, -1
Let t(h) = -3*h**2 + 6*h + 3. Let n(k) be the third derivative of k**5/30 - 7*k**4/24 - 2*k**3/3 + 50*k**2. Let b(x) = 6*n(x) + 5*t(x). Factor b(i).
-3*(i + 1)*(i + 3)
Suppose -4*p - 4*k = -19 + 27, -2*p + 2*k + 12 = 0. Let s(w) be the first derivative of 3/10*w**p - 29 + 3/20*w**4 + 0*w + 2/5*w**3. Find x such that s(x) = 0.
-1, 0
Suppose -189/2*m**4 - 4230*m**2 - 3/2*m**5 + 0 - 2700*m - 1623*m**3 = 0. What is m?
-30, -2, -1, 0
Let o(f) be the second derivative of f**5/35 - 5*f**4/3 + 638*f**3/21 - 570*f**2/7 + 1708*f. Find t such that o(t) = 0.
1, 15, 19
Let h(q) be the second derivative of q**6/75 + 287*q**5/50 - 289*q**4/10 + 869*q**3/15 - 58*q**2 + 456*q. Factor h(y).
2*(y - 1)**3*(y + 290)/5
Let b be (56/120)/(((-189)/20)/(-9)). Find q, given that -b*q + 4/9*q**3 + 0 - 2/9*q**2 + 2/9*q**4 = 0.
-2, -1, 0, 1
Suppose 3*h = -0*p + 3*p - 45, 2*p = 3*h + 41. Let g(b) = -2*b**2 - 24*b - 2. Let r be g(h). Factor 13*c - r*c**3 + 0*c**2 + 3*c - 30*c**2 - 2*c**2.
-4*c*(c + 2)*(5*c - 2)
Let f = 39 - 43. Let t(g) = -3*g - 10. Let i be t(f). Solve -2 + 8*z + 2*z**i - 2 - 10*z = 0.
-1, 2
Let v = 667/25 - 4569/175. Let q be (-30)/(-35) + (-4)/(-14). Find o such that -v*o**4 + 12/7*o**2 + 0 - q*o + 0*o**3 = 0.
-2, 0, 1
Let k be 3/(2 - 5/10). Find w such that 14*w**2 + 3*w - 3*w - 20*w + 11*w**2 + 0*w**k = 0.
0, 4/5
Factor -d**3 + 240*d**2 + 12*d + 12*d - 82*d**2 - 92*d**2 - 59*d**2 - 180.
-(d - 6)**2*(d + 5)
Suppose 2*r = 5*h + 1060, 1245 + 857 = 4*r - h. Suppose 540*v - 45 = r*v. Factor 0 + 1/6*z**4 + 0*z + 1/6*z**v - z**2.
z**2*(z - 2)*(z + 3)/6
Determine t so that 844/7*t - 843/7 - 1/7*t**2 = 0.
1, 843
Determine v, given that 2/3*v**2 - 200/9*v + 22/3 = 0.
1/3, 33
Let v = 76613 - 153219/2. Suppose 4*c**2 + 21/2*c**3 + c**4 + 0 - v*c**5 - 2*c = 0. What is c?
-1, 0, 2/7, 2
Let b = 36868 + -36863. Factor 0 - 4*x**2 - 1/5*x**b - 7/5*x**4 - 8/5*x - 18/5*x**3.
-x*(x + 1)*(x + 2)**3/5
Let n = -222367/63 - -24709/7. Let n - 2/9*p**2 + 0*p = 0. What is p?
-1, 1
Let t = -13048 - -13053. Let f(x) be the third derivative of 0 - 1/78*x**t + 0*x + 3/13*x**3 - 1/52*x**4 + 9*x**2 - 1/780*x**6. Factor f(g).
-2*(g - 1)*(g + 3)**2/13
Suppose -f + 10 = 2*f + 5*h, 2*h - 15 = f. Let b(y) = 2*y + 14. Let a be b(f). Factor 97*z + 16 + 4*z**2 - 73*z - 6*z**3 - 2*z**4 + 0*z**a + 0*z**3.
-2*(z - 2)*(z + 1)*(z + 2)**2
Let g(t) be the second derivative of 0 + 33*t + 7/5*t**5 + 4*t**2 + 22/3*t**3 + 16/3*t**4. Solve g(m) = 0.
-1, -2/7
Let s(h) = 2*h**2 + 19*h + 48. Let c be s(-5). Factor 9*f**c + 18 + 14*f**2 - 21*f - 10*f**3 + 0*f**3 - 6*f**2.
-(f - 3)**2*(f - 2)
Let d(w) = -w**3 - 9*w**2 + 13*w + 33. Let j be d(-10). Suppose -41 - 75*c**2 + 168*c**3 + 81*c - j*c**4 - 141*c**3 + 11 = 0. Calculate c.
1, 2, 5
Let k(s) = -s**3 - 40*s**2 - 3*s - 112. Let d be k(-40). Suppose -d*j**3 - 13*j**2 + 16*j**3 - 2*j**3 - 36 - 13*j - 7*j**3 - 27*j = 0. What is j?
-9, -2
Let y(h) be the second derivative of -1 - 7/10*h**3 - 3/20*h**4 - 20*h - 3/5*h**2. Factor y(u).
-3*(u + 2)*(3*u + 1)/5
Factor 924/5*b**2 + 71148/5*b + 0 + 3/5*b**3.
3*b*(b + 154)**2/5
Let h(m) = 4*m**3 + 440*m**2 - 3220*m + 2808. Let n(o) = -2*o**3 - 293*o**2 + 2147*o - 1872. Let w(v) = -5*h(v) - 8*n(v). Let w(c) = 0. What is c?
1, 9, 26
Let z(j) be the first derivative of 36 + 25/4*j**4 - 65/3*j**3 - 45/2*j**2 + 45*j. Factor z(r).
5*(r - 3)*(r + 1)*(5*r - 3)
Let k = -1272 - -280. Let n = 12912/13 + k. Factor -64/13*w**2 + 0 - 2/13*w**5 - n*w**4 - 48/13*w**3 - 32/13*w.
-2*w*(w + 2)**4/13
Let m(u) be the second derivative of u**7/231 + 5*u**6/11 + 219*u**5/110 + 217*u**4/66 + 24*u**3/11 - 1638*u. Solve m(p) = 0.
-72, -1, 0
Let h(u) = -5*u**2 + 3080*u - 502430. Let d(g) = -6*g + 1. Let w(l) = 15*d(l) - h(l). Factor w(m).
5*(m - 317)**2
Let a(d) = -d**3 + 12*d**2 + 27*d - 6. Let k be a(13). Let w = k + -166. Solve 3 + 39/4*n**2 - 9/4*n**3 - w*n = 0.
2/3, 3
Let r = -721928 - -2165791/3. Find g, given that -10/3*g - 4 - 1/6*g**5 + r*g**2 - 1/3*g**4 + 3/2*g**3 = 0.
-3, -2, -1, 2
Let m(w) = 4*w + 5. Let i(x) = 5*x + 8. Let d(a) = -2*i(a) + 3*m(a). Let b(o) = -3*o**2 + 9*o - 6. Let g(f) = b(f) - 6*d(f). Find z such that g(z) = 0.
-1, 0
Let d = 527/1740 - -412/435. Factor -1/4*o**2 + d + o.
-(o - 5)*(o + 1)/4
Suppose 0 = -1201*l + 1302*l - 303. Let o(w) be the second derivative of 29/120*w**5 + 0 + 1/20*w**6 - 25*w + 1/9*w**l + 0*w**2 + 1/3*w**4. Solve o(x) = 0.
-2, -1, -2/9, 0
Factor 570*x - 1/6*x**2 - 487350.
-(x - 1710)**2/6
Let t(v) be the third derivative of v**8/16 - 11*v**7/105 - v**6/6 + 11*v**5/30 - v**4/24 + v**2 + 171*v. Find u such that t(u) = 0.
-1, 0, 1/21, 1
Let m(o) = -2*o**2 - 30*o + 9. Let v be m(-14). Let s be (v - 55)/(1 - (0 - -3)). Suppose -4*a**3 + 6*a**2 + 3*a + 3 + a**3 - s*a**2 = 0. What is a?
-1, 1
Let u(k) = -6*k**2 - 5*k - 4. Let b be u(-2). Let a = -11 - b. Factor -8*c + 10 + c**2 - a - 9 - 3*c**2.
-2*(c + 1)*(c + 3)
Suppose -4*k = 16, -h + k + 25 - 19 = 0. Suppose -16*b + 70*b**2 - 3*b + 3*b + 10*b - h*b - 8 = 0. What is b?
-2/7, 2/5
Factor 4841*n + 107*n**2 - 111*n**2 + 7655*n - 9759376.
-4*(n - 1562)**2
Let v = 965261 + -1930521/2. Let 5324 - v*k**3 - 726*k + 33*k**2 = 0. Calculate k.
22
Let a(y) = y**2 - 2*y. Let i(r) = -10*r - 6*r + 3*r**2 - 12*r**2 - 144 + 56*r. Let x(h) = 24*a(h) + 3*i(h). Factor x(f).
-3*(f - 12)**2
Let o(n) = -n**3 - 11*n**2 + 12*n - 4. Let p be o(-12). Let r = p - -6. Let 14*z**r - 40*z**3 - 140*z**2 + 12 - 11 + 11 - 14*z = 0. What is z?
-3, -2/5, 1/4
Suppose -7*y**2 + 11688*y + 8538084 + 16*y**2 + 9*y**2 - 14*y**2 = 0. What is y?
-1461
Let b(u) = -3*u**3 + 8*u**2 - 16*u + 27. Let r be b(2). Let 0 + 2*n**r + 38/3*n**2 + 4*n = 0. What is n?
-6, -1/3, 0
Let n be (-15)/(-2) + -12 - (-1)/2. Let w be (n/(-5))/(810/450). Let w*i**3 + 8/9*i**2 + 0*i + 0 = 0. What is i?
-2, 0
Let d(h) be the third derivative of h**6/1260 - 3*h**5/140 + 2*h**4/21 + 8*h**3 + h**2 + 72. Let i(p) be the first derivative of d(p). Factor i(o).
2*(o - 8)*(o - 1)/7
Let n(a) be the second derivative of 5 - 1/56*a**7 - 3/2*a**2 + 3/10*a**5 - 2*a + 1/20*a**6 + 1/8*a**4 - 7/8*a**3. Determine w, given that n(w) = 0.
-1, 1, 4
Let n be 35 - ((-1927)/235 + (51/(-85) - (-2)/(-10))). Find g, given that -32/5 + 24/5*g**2 - 20*g**4 + n*g**3 - 112/5*g = 0.
-2/5, 1, 2
Let x(v) = v**5 + v**4 - v**3 + 2*v**2 + v. Let n(r) = 12*r**5 - 4*r**4 - 64*r**3 + 102*r**2 + 42*r. Let w(z) = n(z) - 6*x(z). Find d, given that w(d) = 0.
-3, -1/3, 0, 2, 3
Let u = -3578 - -3578. Let i(o) be the third derivative of 0 + 1/3*o**4 + 1/60*o**6 + 2/15*o**5 + u*o + 0*o**3 + 7*o**2. Factor i(z).
2*z*(z + 2)**2
Let b be (-2)/((-56)/(-4)) - (-195)/91. Suppose 199*a - 18 - 14*a**b - 2*a**3 - 257*a - a**2 - 9*a**2 - 18 = 0. Calculate a.
-9, -2, -1
Suppose -38*j = -33*j - 60. Suppose -3*u = -j, 0 = 5*r + 3*u + 2*u - 20. Factor r*q**3 - 1/2*q**5 + 1/2*q + 0 - q**2 + q**4.
-q*(q - 1)**3*(q + 1)/2
Let y(d) be the second derivative of 0 + 5/12*d**6 + d**5 + 9/2*d**2 + 8/3*d**3 - 3*d**4 - 8*d. Let r(v) be the first derivative of y(v). Factor r(n).
2*(n + 2)*(5*n - 2)**2
Let s be 20/10*(-3)/(-12). Let d(u) be the third derivative of 0 - s*u**3 + 1/40*u**6 - 1/8*u**4 + 0*u + 1/20*u**5 - 8*u**2. Suppose d(i) = 0. What is i?
-1, 1
Let j(v) be the third derivative of 0 - 35*v**2 - 1/160*v**5 - 5/8*v**3 + 7/64*v**4 + 0*v. Find a such that j(a) = 0.
2, 5
Suppose 0 = -2*r + 3*f + 4, -4*f = -8*f + 8. Let y be ((-20)/(-50))/((-846)/(-135) - 6). What is s in 0*s + 0 + s**3 + 1/2*s**r + 0*s**2 + y*s**4 = 0?
-2, -1, 0
Let q(d) be the first derivative of d**6/2 - 36*d**5/5 + 45*d**4/2 - 28*d**3 + 27*d**2/2 - 1603. Let q(t) = 0. What is t?
0, 1, 9
Suppose 4*a = -4*g + 4, a - 6 = 5*g + 13. Factor 4*k - 18*k - 6*k - a*k**2.
-4*k*(k + 5)
Suppose 0*f - 3*f + 4*r - 67 = 0, 0 = 3*f + 4*r + 107. Let i = 31 + f. Factor -5*z**3 + 2*z**4 - 2*z**3 - 42*z - 36 + 2*z**i + 17*z**3.
2*(z - 2)*(z + 1)*(z + 3)**2
Let d be 1/(27/36 - 1) - 7/(196/(-120)). Solve 66/7*q - 2/7*q**3 + 18 + d*q**2 = 0.
-3, 7
Let n = -26585 + 26585. Let t(d) be the third derivative of 1/1680*d**7 + 0*d**3 + 0*d + 0*d**4 + 0*d**6 + 0