1/5*z**4 - 6916/5*z + 33124/5 = 0.
-26, 7
Let u(h) = 8*h**3 - 489*h**2 + 29778*h - 29285. Let t(l) = -22*l**3 + 1466*l**2 - 89330*l + 87854. Let k(n) = -3*t(n) - 8*u(n). Factor k(y).
2*(y - 121)**2*(y - 1)
Let s = 541667/8 - 67708. Factor -3/4*d**3 - 3/4 + 3/4*d**4 - 3*d**2 - 21/8*d + s*d**5.
3*(d - 2)*(d + 1)**4/8
Let r(d) = 36*d - 200. Let q be r(8). Suppose -30 + 6 - q*c + 10*c**2 - 6 - 9*c**2 + 5*c**2 = 0. Calculate c.
-1/3, 15
Let o(y) be the second derivative of -y**4/3 + 76*y**3 - 2266*y**2 + 2752*y. Find v, given that o(v) = 0.
11, 103
Let m(s) = -7*s**3 - 66*s**2 + 70*s + 3. Let k(n) = 3*n**3 - n**2 - 3*n + 1. Let i(r) = 5*k(r) + m(r). Factor i(a).
(a - 8)*(a - 1)*(8*a + 1)
Let 12/5 - 23/5*r + 9/5*r**2 + 3/5*r**3 - 1/5*r**4 = 0. What is r?
-3, 1, 4
Let q(x) be the first derivative of -3*x**4/4 - 46*x**3 - 360*x**2 + 6910. Factor q(v).
-3*v*(v + 6)*(v + 40)
Suppose -4*h - h = -3*i - 21, 4*h - 20 = 4*i. Suppose -h - 92 = -w - 5*j, 4*j - 580 = -5*w. What is a in 15*a - 123*a**2 - 2*a**3 - 9 - a**3 + w*a**2 = 0?
-3, 1
Let f(z) be the second derivative of z**6/135 - 2*z**5/45 + 2*z**4/27 + 379*z - 2. What is y in f(y) = 0?
0, 2
Find m, given that 3171/4 - 3/4*m**2 + 108*m = 0.
-7, 151
Let c = 48248 - 48248. Let -i + c + 1/7*i**2 = 0. What is i?
0, 7
Let k(m) be the second derivative of 1/2*m**3 - 3*m + 6 + 0*m**2 + 1/4*m**4. Factor k(q).
3*q*(q + 1)
Let 303*q**2 - 38*q**4 - 163*q**3 - 143*q**3 + 41*q**4 + 21*q - 21*q = 0. What is q?
0, 1, 101
Let i(h) be the first derivative of h**5/15 - 77*h**4/6 + 2027*h**3/3 - 5852*h**2/3 + 5776*h/3 + 2013. Suppose i(x) = 0. What is x?
1, 76
Let u = 39955/22 + -18388/11. Solve u - 17*j + 1/2*j**2 = 0 for j.
17
Let i(z) be the second derivative of 5*z**7/42 - 329*z**6/6 + 26895*z**5/4 + 45375*z**4/4 + 1208*z - 5. Let i(n) = 0. What is n?
-1, 0, 165
Let l be (-1 - (-7 - -5))*(-3 + (9 - 4)). Find u, given that 0 + 1/2*u**4 - 1/2*u**5 + 1/2*u**3 + 0*u - 1/2*u**l = 0.
-1, 0, 1
Let m = 2755721/55 - 250516/5. Let 21/11*w + 4/11*w**4 - m + 53/11*w**2 + 27/11*w**3 = 0. Calculate w.
-3, -1, 1/4
Let b(c) = 12*c - 177. Let u be b(15). Let s be 112/48*u/7. Factor k - 1/4*k**2 - s.
-(k - 2)**2/4
Suppose 2571*k - 789*k - 871*k - 180 = 821*k. Let h = 1127/5 - 223. Factor 38/5*o - 6/5*o**k - h.
-2*(o - 6)*(3*o - 1)/5
Let s = -37061281/188 - -197134. Let a = 5/188 - s. Find w such that w + 0 + a*w**2 - w**3 - 1/2*w**4 = 0.
-2, -1, 0, 1
Let n be (11193/(-741) + 15)*-38. Suppose -s = -0*s - 4. Factor 17/5*j**3 - n*j - 2/5*j**2 + 2/5*j**5 - 8/5 + 11/5*j**s.
(j - 1)*(j + 2)**3*(2*j + 1)/5
Let g(f) be the second derivative of 3*f**5/80 - 61*f**4/16 + 899*f**3/8 + 2883*f**2/8 - 5596*f. Find z such that g(z) = 0.
-1, 31
Let r(w) = w**4 - 44*w**3 + 17*w**2 + 124*w - 153. Let y(u) = 44*u**3 - 16*u**2 - 124*u + 140. Let s(f) = -4*r(f) - 5*y(f). Solve s(o) = 0 for o.
-11, -2, 1
Suppose 29 = 4*p - 2*c - 23, -20 = -5*c. Suppose p*z + 17 - 47 = 0. Solve 16*m**z - 10*m - 25*m**4 + 9*m**2 - 16*m**5 + 26*m**5 = 0.
-1, 0, 1/2, 1, 2
Factor -432/11*n**2 - 2/11*n**3 - 23328/11*n + 0.
-2*n*(n + 108)**2/11
Suppose -36*m - 326 = -398. Let x(b) be the second derivative of -2/3*b**4 + 0 + 3/5*b**5 + b - 16*b**m + 2/15*b**6 - 8*b**3. Determine w, given that x(w) = 0.
-2, -1, 2
Factor -138*k - 1584*k**2 - 1260*k**2 - 3785 + 7713*k - 9*k**2 - 942*k**2 + 5*k**3.
5*(k - 757)*(k - 1)**2
Let j(k) be the second derivative of 0 + 0*k**2 - 1/42*k**4 + 21*k - 2/21*k**3. Factor j(b).
-2*b*(b + 2)/7
Let s be 12632/7895 + (-96)/(-10). Solve -s*o**3 - 4/5*o**5 - 8/5 - 24/5*o**4 - 36/5*o - 64/5*o**2 = 0 for o.
-2, -1
Suppose 5*h - h - 3*b + 13 = 0, -h - b = 5. Let n(t) = -2*t**2 + 2*t. Let r(p) = -1. Let d = 5200 - 5199. Let f(u) = d*n(u) + h*r(u). Factor f(o).
-2*(o - 2)*(o + 1)
Let o(c) be the first derivative of -98*c**5/5 + 28*c**4 - 32*c**3/3 - 43. Factor o(j).
-2*j**2*(7*j - 4)**2
Let r(p) be the first derivative of -3*p**3 + 23*p**2/5 - p/5 - 6685. Let r(c) = 0. Calculate c.
1/45, 1
Let d be (-4713)/7560 + 155/248. Let a(p) be the third derivative of 0 - 5/252*p**4 + 1/1260*p**6 + 0*p - 1/21*p**3 - d*p**5 - 15*p**2. Factor a(w).
2*(w - 3)*(w + 1)**2/21
Suppose -78*f - 40 = -88*f. Let k(i) be the first derivative of -3/5*i**5 - 1/2*i**f + 0*i + i**2 + i**3 + 10. Find o such that k(o) = 0.
-1, -2/3, 0, 1
Factor 0*j + 0 + 2/13*j**3 - 72/13*j**2.
2*j**2*(j - 36)/13
What is t in -2*t**5 - 2*t**5 + 2*t**5 - 1864*t**3 + 1866*t**3 = 0?
-1, 0, 1
Let f(x) be the second derivative of x**6/900 + 41*x**5/300 - 7*x**4/10 + 34*x**3/3 - 9*x - 5. Let v(d) be the second derivative of f(d). What is y in v(y) = 0?
-42, 1
Let o be ((-24)/16)/((-3699)/822). Suppose o*i - 1/3*i**2 + 2/3 = 0. What is i?
-1, 2
Suppose 31*r - 8 = 26*r + 4*t, 4*r + 5*t - 31 = 0. Suppose 4*n + n = 0. Factor -4/5*i**r + 4/5*i**3 + 0*i + n + 0*i**2.
-4*i**3*(i - 1)/5
Let d = -612 + 610. Let l be ((-4)/18)/((-76)/36 - d). Factor -1/3 - 1/9*v**l - 4/9*v.
-(v + 1)*(v + 3)/9
Factor 333*z - 24 - 983*z**3 + 58 - 939*z**2 + 1007*z**3 - 1176*z + 86.
3*(z - 40)*(z + 1)*(8*z - 1)
Let n = 513361 - 2566409/5. Determine f, given that -1204/15*f**3 + 904/5*f**2 - n*f + 58/5*f**4 - 8/15*f**5 - 162/5 = 0.
-1/4, 1, 3, 9
Let d = -367/43 - -1187/129. Let r be (-6)/(-15) - (-4)/(-15). Solve d*z + r*z**2 + 8/15 = 0.
-4, -1
Let h(i) be the first derivative of -6*i**2 + 57/20*i**4 - 79 + 0*i + 36/25*i**5 - 12/5*i**3 + 1/10*i**6. Suppose h(r) = 0. What is r?
-10, -2, -1, 0, 1
Solve -20/7*m**2 - 66/7*m**3 + 2*m**4 + 0*m + 0 = 0.
-2/7, 0, 5
Let h(j) be the first derivative of j**3/2 - 36*j**2 + 645*j/2 + 4776. Factor h(x).
3*(x - 43)*(x - 5)/2
Let s(a) be the first derivative of a**6/51 - 66*a**5/85 + 8*a**4 - 160*a**3/17 - 4220. Determine x so that s(x) = 0.
0, 1, 12, 20
Let n = 36 - 33. Let c be -16*(-2)/4 - 9/n. What is b in -6*b + 12*b - 3*b - 15*b + 15*b**3 - 3*b**c = 0?
-2, -1, 0, 1, 2
Factor -32/3 - 16/9*s + 58/9*s**2 - 20/9*s**3 + 2/9*s**4.
2*(s - 4)**2*(s - 3)*(s + 1)/9
Let h(c) be the first derivative of c**6/30 - 101*c**4/20 - 84*c**3/5 + 176*c**2/5 - 1715. Determine g, given that h(g) = 0.
-8, -4, 0, 1, 11
Let b(x) be the first derivative of -x**5/5 + 4*x**4 - 79*x**3/3 + 78*x**2 - 108*x - 937. Factor b(p).
-(p - 9)*(p - 3)*(p - 2)**2
Let h(y) be the third derivative of y**7/90 - y**6/180 - 217*y**5/180 - 37*y**4/18 + 10*y**3/3 + 113*y**2 - 5. Let h(g) = 0. What is g?
-5, -1, 2/7, 6
Let 18*u**2 + 3/8*u**3 - 783/8*u + 159/2 = 0. What is u?
-53, 1, 4
Let g(m) = -4*m**2 + 38*m - 25. Let o be g(8). Suppose 6*k + o*k - 16*k = 0. Suppose 2/5*j**2 + k + 1/5*j**3 + 1/5*j = 0. Calculate j.
-1, 0
Let s = 466231/30 + -15541. Let b(q) be the third derivative of 0*q**4 + 0*q + 0 - 1/5*q**5 + 24*q**2 + 0*q**3 - s*q**6. Factor b(n).
-4*n**2*(n + 3)
Suppose 6*z - 22 = -10. Find f such that -f + 4*f**2 + 5*f**3 - f**4 - z - 14*f**3 - f**2 + 10*f**3 = 0.
-1, 1, 2
Factor 3/5*j**3 - 36 - 213/5*j - 6*j**2.
3*(j - 15)*(j + 1)*(j + 4)/5
Suppose 0 = -3*x - 5*w + 29, -7*x + w = -2*x - 11. Let -6*k**5 - 28*k**3 + 60*k**3 + k**5 - 27*k**x = 0. What is k?
-1, 0, 1
Let z(q) be the third derivative of -q**6/30 - 4*q**5/15 + 301*q**4/6 + 608*q**3/3 + 125*q**2 + 21. What is k in z(k) = 0?
-19, -1, 16
Let n(t) = t**5 + t**4. Let h be 4029/68 + (-1)/4. Let o = h + -61. Let u(f) = 2*f**5 + 2*f**4 - f**3 - f**2. Let p(x) = o*u(x) + 2*n(x). Factor p(a).
-2*a**2*(a - 1)*(a + 1)**2
Let l(x) = 9*x**2 + 12*x - 38. Let f(m) = -2*m**2 - 2*m + 10. Let a(h) = 26*f(h) + 6*l(h). Factor a(n).
2*(n + 2)*(n + 8)
Let j be 0*5*(-15)/75. Find s, given that -6/19*s**3 + 0*s**2 + 10/19*s**4 + j*s - 4/19*s**5 + 0 = 0.
0, 1, 3/2
Let n(u) be the third derivative of u**5/12 + 55*u**4/6 - 16*u**2. Let g(l) = l**2 + 37*l. Let p(b) = 35*g(b) - 6*n(b). Factor p(d).
5*d*(d - 5)
Let m(p) be the first derivative of -p**6/360 - 13*p**5/120 - 11*p**4/12 - p**3/3 + 55*p - 109. Let z(c) be the third derivative of m(c). Factor z(h).
-(h + 2)*(h + 11)
Let n be 3 + (4648/252 - 21). Let -8/9 - 2*x + n*x**2 + 2*x**3 + 4/9*x**4 = 0. What is x?
-4, -1, -1/2, 1
Let a = -79/135 - -97/135. Let h(d) be the third derivative of -1/2*d**4 + 4/3*d**3 + 2/15*d**6 - 15*d**2 + 0*d + 0*d**7 - a*d**5 + 0 - 1/84*d**8. Factor h(t).
-4*(t - 1)**3*(t + 1)*(t + 2)
Let s be 2 + (2/(-10))/(702/6912). Let 