 = 4*z - 104. Let p be d(26). Let l(s) be the third derivative of 0 + p*s**3 - 1/240*s**5 - 1/96*s**4 + 0*s + 2*s**2. Let l(n) = 0. Calculate n.
-1, 0
Let a(f) = 15*f**4 - 39*f**3 + 9*f**2 + 183*f - 132. Let x(m) = m**4 - m**3 + m + 1. Let u(z) = -a(z) + 18*x(z). Factor u(l).
3*(l - 2)*(l - 1)*(l + 5)**2
Solve 4/7*t**5 + 275/7*t**2 + 162/7*t**3 + 60/7 + 212/7*t + 43/7*t**4 = 0.
-5, -2, -1, -3/4
Let c(p) be the second derivative of -p**8/1680 - 19*p**7/630 - 4*p**6/9 + 10*p**5/3 + 5*p**4/2 + 27*p. Let l(v) be the third derivative of c(v). Factor l(x).
-4*(x - 1)*(x + 10)**2
Suppose -17*c = -20*c + 9. Let x(b) be the second derivative of 7/5*b**5 - 2*b**2 + 3*b**c - 2/5*b**6 + 0 + 3*b - 8/3*b**4 + 1/21*b**7. Factor x(h).
2*(h - 2)*(h - 1)**4
Let q(z) be the first derivative of 3/28*z**4 - 3/35*z**5 + 0*z + 0*z**3 + 0*z**2 + 18. Solve q(m) = 0 for m.
0, 1
Factor 185*y**3 - 66*y**4 - 114*y**2 + 4 + 54*y + 0 + 9*y**3 - 72*y**2.
-2*(y - 1)**3*(33*y + 2)
Let a(r) be the second derivative of -1/18*r**3 - 8*r + 0 + 1/6*r**2 - 1/36*r**4 + 1/60*r**5. Factor a(h).
(h - 1)**2*(h + 1)/3
Let a = -1706 + 1708. Let n(v) be the third derivative of 0 - 8*v**a + 1/12*v**3 + 1/120*v**5 + 1/24*v**4 + 0*v. Factor n(h).
(h + 1)**2/2
Factor -576/13*h + 512/13 + 66/13*h**2 - 2/13*h**3.
-2*(h - 16)**2*(h - 1)/13
Suppose 0*t - 4*t + 20 = 0. Suppose 5*v = -2*w + 18 + t, -2*w - 4 = -4*v. Factor 2/3*r**v + 0*r + 0 + 0*r**2.
2*r**3/3
Factor -85*h**2 + 0*h**3 - 745 - 5*h**3 - 300*h + 745.
-5*h*(h + 5)*(h + 12)
Let d = 14307/5 - 2861. Solve 4/5*m**3 + 2/5*m**5 - d - 4/5*m**2 + 6/5*m**4 - 6/5*m = 0.
-1, 1
Factor 95*c - 15*c**4 - 46*c**3 - 54*c**3 + 2*c**4 + 5*c**5 - 10*c**2 - 27*c**4 + 50.
5*(c - 10)*(c - 1)*(c + 1)**3
Let l(s) = 11*s**3 + 145*s**2 + 269*s + 135. Let f(r) = -65*r**3 - 870*r**2 - 1615*r - 810. Let h(p) = -6*f(p) - 35*l(p). Determine z so that h(z) = 0.
-27, -1
Suppose 24*f**4 - 323 - 36*f**3 - 4*f**5 + 16*f**2 + 323 = 0. What is f?
0, 1, 4
Let y(i) be the first derivative of i**3/30 - i**2/5 - 6*i/5 + 83. Determine f so that y(f) = 0.
-2, 6
Suppose 3*p - 1 - 32 = 0. Let g = 53 + -38. Factor -g*o**2 + 8 - p*o - 13*o + 25*o**2.
2*(o - 2)*(5*o - 2)
Let m be 1/1 - 160/256. Factor 0 + m*z**2 + 3/8*z.
3*z*(z + 1)/8
Suppose 5*n + 175 - 189 = -a, a + 10 = 3*n. Find v such that 2/3*v**n - 1/3 + 1/3*v**4 - 2/3*v + 0*v**2 = 0.
-1, 1
Let -57/7*w + 39/7*w**2 + 18/7 = 0. Calculate w.
6/13, 1
Let q = -3541/14 - -253. Let l(k) be the first derivative of -q*k**4 + 3 + 0*k + 2/21*k**3 - 2/35*k**5 + 1/7*k**2. Find o, given that l(o) = 0.
-1, 0, 1
Let m = 893 + -13394/15. Let q(x) be the first derivative of 3 - 3/10*x**2 - 1/25*x**5 + 3/20*x**4 + 2/5*x - m*x**3. Factor q(p).
-(p - 2)*(p - 1)**2*(p + 1)/5
Let c(d) be the third derivative of -d**8/100800 - d**7/5040 + 2*d**5/5 - 39*d**2. Let y(g) be the third derivative of c(g). Factor y(b).
-b*(b + 5)/5
Let h(c) be the third derivative of 0*c + 0 + 1/1680*c**7 + 0*c**3 - 25*c**2 - 1/96*c**4 - 1/160*c**5 + 0*c**6. Factor h(f).
f*(f - 2)*(f + 1)**2/8
Let o(i) be the second derivative of -5*i**4/12 + 35*i**3/2 - i + 85. Factor o(w).
-5*w*(w - 21)
Determine q, given that 1/3*q**2 - 4*q + 12 = 0.
6
Determine a, given that -2*a**3 - 5*a**2 - 4*a**2 + 10*a**2 + a**4 = 0.
0, 1
Suppose -17*l + 13*l + h + 53 = 0, 3*l + 3*h - 21 = 0. Let p be (l/14)/(((-765)/(-42))/17). Factor 2/5 + 2/5*b**2 + p*b.
2*(b + 1)**2/5
Let p(f) be the first derivative of f**4/2 - 8*f**3/3 + 2*f**2 + 2*f + 6. Let c(s) = -3*s**3 + 16*s**2 - 8*s - 5. Let o(k) = 2*c(k) + 5*p(k). Factor o(d).
4*d*(d - 1)**2
Let h = 356 - 14951/42. Let o(i) be the second derivative of 0*i**2 + h*i**4 + 0 - 4*i - 1/21*i**3. Factor o(g).
2*g*(g - 1)/7
Let l(v) = -2*v**2 + v + 15. Let o(c) = -c**2 + c - 1. Let s(f) = -3*l(f) + 3*o(f). Let s(m) = 0. What is m?
-4, 4
Factor 22/9*z**3 - 28/3*z**2 + 4/3 + 50/9*z.
2*(z - 3)*(z - 1)*(11*z + 2)/9
Factor 2/7*l**2 - 2/7*l - 40/7.
2*(l - 5)*(l + 4)/7
Let f(k) be the second derivative of k**7/231 + k**6/55 + k**5/110 - k**4/22 - 2*k**3/33 + 651*k - 1. Determine u, given that f(u) = 0.
-2, -1, 0, 1
Let q = -5 - -7. Let 24*s**q + 26*s**3 - 10*s**4 + 8*s + 6*s**4 + 16*s**4 + 2*s**5 = 0. What is s?
-2, -1, 0
Factor -5/2*j**4 - 35/2*j**3 - 20*j - 35*j**2 + 0.
-5*j*(j + 1)*(j + 2)*(j + 4)/2
Let f(i) be the first derivative of -4/5*i**3 - 6/25*i**5 - 16 - 2/5*i**2 + 0*i - 1/30*i**6 - 13/20*i**4. Solve f(q) = 0 for q.
-2, -1, 0
Let q be (-14)/20 + 376/(-470) - -2. Determine p so that 1/4*p - 3/4*p**2 + q = 0.
-2/3, 1
Suppose 12 = 4*z - 4. Suppose -z*f + 3*c = -260, -5*f - c = -165 - 160. Solve -65*j - 3*j**4 + f*j + 3*j**2 = 0 for j.
-1, 0, 1
Let f(b) be the third derivative of 0*b + 1/12*b**5 - 14*b**2 - 10/3*b**3 + 0 + 5/8*b**4. Factor f(p).
5*(p - 1)*(p + 4)
Suppose 3*m = 5 + 1, 0 = k + 4*m - 12. Suppose -w + 4 = -k*r - 0*w, -2*w = -8. What is d in r*d**2 - 1/7*d**5 + 2/7*d**3 + 0 - 1/7*d + 0*d**4 = 0?
-1, 0, 1
Let a(s) be the third derivative of s**5/300 + s**4/10 - 80*s**2. Suppose a(i) = 0. What is i?
-12, 0
Let x(h) = 9*h**4 - 6*h**3 - 36*h**2 - 18*h + 9. Let l(p) = -p - p**3 + 4 - 59*p**4 - 3 + 58*p**4. Let a(d) = 3*l(d) - x(d). Find u, given that a(u) = 0.
-1, 1/4, 2
Let q(h) = -3*h**3 + 6*h**2 - h - 2. Let w(g) = 9*g**3 - 18*g**2 + 2*g + 7. Let p(b) = 11*q(b) + 4*w(b). Factor p(d).
3*(d - 2)*(d - 1)*(d + 1)
Let p = 70/339 + 52/113. Factor 0 + 4/3*j - p*j**2.
-2*j*(j - 2)/3
Let k(q) be the third derivative of q**5/40 + 12*q**4 + 2304*q**3 - 307*q**2. Factor k(l).
3*(l + 96)**2/2
Let i(t) be the first derivative of -t**6/16 + 9*t**5/40 - 9*t**4/32 + t**3/8 - 113. Determine k, given that i(k) = 0.
0, 1
Suppose 77*m**4 + 96*m**2 + m + 11*m + 85*m**3 - 52*m**4 + 24*m = 0. What is m?
-6/5, -1, 0
Let w(d) be the third derivative of 2*d**7/105 - d**6/8 + 4*d**5/15 - d**4/8 - d**3/3 + d**2 - 39. Let w(l) = 0. What is l?
-1/4, 1, 2
Suppose -4 = -3*n + 8. Let c be 5/(-2)*n/(-5). Find z such that -8*z**3 - z**2 + 9*z**3 + 0*z**c = 0.
0, 1
Let j = -56549 + 56554. Suppose -5/3*l**j + 10*l**3 - 25/3*l - 20/3*l**2 + 0 + 20/3*l**4 = 0. What is l?
-1, 0, 1, 5
Let y(p) = 2*p**5 - p**4 + p**3 - p**2 + p - 1. Let z(r) = -11*r**5 + 35*r**4 + 189*r**3 - 219*r**2 - 6*r + 6. Let t(k) = -6*y(k) - z(k). Factor t(n).
-n**2*(n - 1)*(n + 15)**2
Let o be (16/24)/((-2)/(-6)) + 1. What is b in -16*b**2 + 0*b**2 + 5*b**o + 20 + b**2 = 0?
-1, 2
Suppose -4*q - 3*n = 4, -q = 6*n - n + 18. Suppose q*p - 3*p + 12 = -4*h, -h = -4*p + 3. Suppose p*f + 2*f - f - 6*f**3 - 4*f**4 + f = 0. What is f?
-1, 0, 1/2
Let n = -4/229 + 695/458. Let y(u) be the second derivative of n*u**3 - 3/20*u**5 + 3*u**2 + 0 + 3*u + 0*u**4. Suppose y(g) = 0. Calculate g.
-1, 2
Let a(x) = x**3 - 16*x**2 + 4*x - 22. Let t be a(16). Let i be 3/(6/(-4)) - (-96)/t. Factor -i*s**3 + 8/7*s**2 + 4/7 - 10/7*s.
-2*(s - 2)*(s - 1)**2/7
Let n be (-1)/(-2*2/192). Let h = 50 - n. Let -2/7*o**3 - 2/7*o + 0 + 4/7*o**h = 0. Calculate o.
0, 1
Let j(x) be the third derivative of -x**5/30 + 3*x**4/2 - x**2 - 8. Suppose j(p) = 0. Calculate p.
0, 18
Suppose 0 = 31*n + 51 - 144. Let m(a) be the first derivative of 16/3*a**n + 18*a**2 + 9 + 8*a. Let m(k) = 0. Calculate k.
-2, -1/4
Suppose y = 2*a, 3*a + 2*y = y + 10. What is z in 2*z**2 - 3*z**3 + 0*z**2 - a*z**3 + 4*z**3 = 0?
0, 2
Let w(x) be the second derivative of -1/3*x**3 + 0 - 1/24*x**4 - x**2 - 16*x. What is d in w(d) = 0?
-2
Let f(m) = -m**2 - 13*m + 38. Let w(y) = 9*y**2 + 102*y - 306. Let t(v) = -33*f(v) - 4*w(v). Factor t(r).
-3*(r - 5)*(r - 2)
Let k(b) be the first derivative of b**4/14 - 2*b**3/21 - 24*b**2/7 - 72*b/7 + 155. Factor k(j).
2*(j - 6)*(j + 2)*(j + 3)/7
Suppose 2*x - 452 = -d - 444, -d - x = -6. Factor -d + 2/3*u**2 + 2/3*u.
2*(u - 2)*(u + 3)/3
Let p = -15 - -20. Suppose p + 10 = 3*n. Suppose u**2 - u**2 + 5*u**2 + n*u**3 = 0. What is u?
-1, 0
Suppose 1 + 41 = -3*x. Let j be (2*1 - (-77)/x) + 4. Factor 1/2*u**2 - 1/4*u**3 - j + 1/4*u.
-(u - 2)*(u - 1)*(u + 1)/4
Let d(o) be the third derivative of 0*o**3 + 0 + 24*o**2 - 1/24*o**4 + 0*o**5 + 1/60*o**6 + 0*o + 0*o**7 - 1/336*o**8. What is b in d(b) = 0?
-1, 0, 1
Let l(m) be the third derivative of m**7/1260 - m**6/144 + m**2 + 6. Factor l(t).
t**3*(t - 5)/6
Suppose -3*x + 4*c = 67, 5*x - 2*c = -0*c - 121. Let z