*i**3 + 2/5*i**2 + 0*i + 0.
-2*i**2*(4*i - 1)/5
Let y = -16/15 - -589/510. Let v = 95/306 - y. Factor 2/9*c - v*c**2 + 0.
-2*c*(c - 1)/9
Let a(j) be the third derivative of 8*j**2 + 0 + 0*j**3 - 1/12*j**5 + 1/24*j**6 + 0*j**4 + 0*j. Let a(k) = 0. Calculate k.
0, 1
Suppose 0 = 2*l + 3*l - 5*h, 0 = l - 5*h + 12. Let o(g) be the first derivative of -1/16*g**4 - 5 + 0*g + 1/12*g**l + 0*g**2. Determine d, given that o(d) = 0.
0, 1
Suppose -12*m + 126 = -9*m. Let n = m - 40. Factor -1/2*q**2 + 2*q - n.
-(q - 2)**2/2
Let u = 390 + -385. Let p(w) be the third derivative of 1/36*w**4 + 1/360*w**u - 3*w**2 + 0*w + 0 + 1/12*w**3. Find k, given that p(k) = 0.
-3, -1
Let m(c) be the first derivative of 7*c + 1 - 8*c - c**3 + 13*c. Solve m(d) = 0 for d.
-2, 2
Let l(s) be the first derivative of 2*s**3/27 - 11*s**2/9 + 20*s/3 + 252. Let l(c) = 0. What is c?
5, 6
Let t(z) = -20*z**3 - 2*z**2 + 20*z - 20. Let b = 9 + -7. Suppose -b*c - 16 = 2*c. Let p(l) = 7*l**3 + l**2 - 7*l + 7. Let s(d) = c*t(d) - 11*p(d). Factor s(u).
3*(u - 1)**2*(u + 1)
Let m = 8 - 5. Suppose -14 = -3*d + 33*q - 29*q, -4*d + 14 = -3*q. Suppose 2/9*s**d - 2/9*s**m + 0*s + 0 = 0. What is s?
0, 1
Let v(f) = -5*f**2 - 5*f. Let s(z) = 2*z - 1. Let m be s(2). Let q(w) = -15*w**2 - 15*w. Let l(c) = m*q(c) - 10*v(c). Factor l(k).
5*k*(k + 1)
Let a(b) be the third derivative of b**6/30 - 16*b**5/15 + 29*b**4/6 - 28*b**3/3 + 8*b**2 - 5*b. Factor a(y).
4*(y - 14)*(y - 1)**2
Let t = -159523/75 - -2127. Let r(n) be the second derivative of -4/15*n**4 + t*n**6 + 0 - 8/15*n**3 + 0*n**2 + 1/25*n**5 + 9*n. Factor r(f).
4*f*(f - 2)*(f + 1)*(f + 2)/5
Let m(s) be the third derivative of -s**8/1512 - 71*s**7/945 - 1363*s**6/540 - 3673*s**5/270 - 884*s**4/27 - 1156*s**3/27 + 2*s**2 - 4. Factor m(f).
-2*(f + 1)**3*(f + 34)**2/9
Let t(r) = 3*r + 3. Let u(p) = -4*p - 4. Let g(h) = 7*t(h) + 5*u(h). Let f(k) = -k**2 + 10*k + 13. Let b(s) = -2*f(s) + 22*g(s). Suppose b(w) = 0. Calculate w.
-2, 1
Suppose -2*z = 5*m - 2, 0 = m + 3*m - z - 12. Determine i, given that 66*i - 4*i**m - 46*i - 20 - i**2 = 0.
2
Let p(o) be the second derivative of 50*o**2 - 5*o - 1/5*o**5 - 70/3*o**3 + 0 + 11/3*o**4. Suppose p(s) = 0. Calculate s.
1, 5
Let o(c) = 20*c**3 + 9*c**2 - 29*c - 36. Let d(m) = -7*m**3 - 3*m**2 + 10*m + 12. Let k(x) = -17*d(x) - 6*o(x). Solve k(v) = 0 for v.
-3, -2, 2
Let a(p) = -3*p**2 + 3*p - 6. Let x = -38 + 44. Let m(w) = 6*w**2 - 5*w + 12. Let f(l) = x*m(l) + 13*a(l). Factor f(q).
-3*(q - 2)*(q - 1)
Suppose -3*d - 3*j = -3, -5*j - 105 = 3*d - 100. Let h be 8/20 - 24/(-15). Determine z so that -25/2 - 1/2*z**h + d*z = 0.
5
Let u(k) be the first derivative of 2*k**5/35 + k**4/14 - 8*k**3/7 - 4*k**2 - 32*k/7 - 46. Factor u(h).
2*(h - 4)*(h + 1)*(h + 2)**2/7
Let x(n) be the third derivative of n**6/10 + 23*n**5/20 - 17*n**4/4 + 7*n**3/2 + 12*n**2 - 8. Factor x(b).
3*(b - 1)*(b + 7)*(4*b - 1)
Let g = -22 + 27. Suppose 0 = 2*v + v - g*v. Suppose 4/3*x**2 - 2/3*x**3 - 2/3*x + v = 0. What is x?
0, 1
Let j = 13937 + -27873/2. Let 1/4*k + 1/4*k**5 + 0*k**2 + 0 + 0*k**4 - j*k**3 = 0. Calculate k.
-1, 0, 1
Determine c so that 1/3*c**2 + 1875 - 50*c = 0.
75
Let p(c) be the third derivative of -c**5/15 - c**4/6 - 2*c**2. Let s(f) = 5*f**2 + 5*f. Let g(w) = 6*p(w) + 4*s(w). Factor g(n).
-4*n*(n + 1)
Suppose 0 = -q - 4, 0 = -4*f + q + 3*q + 32. What is j in 13*j - 36*j**3 - 70*j - 5*j**4 - 7*j - 96*j**2 + j**f = 0?
-4, -1, 0
Factor -550*o + 16056 + 5*o**2 + 4746 - 5677.
5*(o - 55)**2
Suppose 0 = d + 7 - 2. Let n be (-8)/40 + (-1)/d. Factor n + 4/5*q - 7/5*q**3 + 12/5*q**2.
-q*(q - 2)*(7*q + 2)/5
Factor -66*c - 1/3*c**2 - 3267.
-(c + 99)**2/3
Let x = 6877 + -13751/2. Factor 1/4*s**2 - x*s + 5/4.
(s - 5)*(s - 1)/4
Let h be 12/10*((-231)/9 + -1). Let c be -2 + h/(-12) - (-10)/(-24). Factor 0 + 0*f - 1/4*f**5 + 0*f**3 - c*f**4 + 0*f**2.
-f**4*(f + 1)/4
Let t(g) = -15*g**2 - 21*g - 9. Let u(p) = 8*p**2 + 10*p + 5. Let a(b) = -5*t(b) - 9*u(b). Factor a(m).
3*m*(m + 5)
Let z(b) be the first derivative of -2/3*b**6 + 2/7*b**4 + 0*b + 0*b**3 - 4/7*b**5 - 9 + 0*b**2. Solve z(g) = 0 for g.
-1, 0, 2/7
Let q(k) be the third derivative of k**8/84 - 26*k**7/105 + 23*k**6/30 - 11*k**5/15 + 43*k**2. Suppose q(h) = 0. Calculate h.
0, 1, 11
Let v(c) be the first derivative of -40*c + 5/3*c**3 + 35/2*c**2 + 5. Suppose v(x) = 0. What is x?
-8, 1
Let t(b) be the first derivative of -2*b**7/105 + b**6/30 + b**5/15 - b**4/6 - 5*b**2/2 - 24. Let f(a) be the second derivative of t(a). Solve f(z) = 0 for z.
-1, 0, 1
Let p be 1 + 1 + 0/182. Let 0 + 3/2*b - 1/2*b**p = 0. What is b?
0, 3
Let g(d) = -4*d - 16. Let v be g(-7). Let y = -5 - -7. Find q such that 7 - 3*q**y + 2*q**2 + 3*q**2 + v*q + 11 = 0.
-3
Let s(k) be the third derivative of -11*k**5/360 + 31*k**4/144 + k**3/6 + 25*k**2 - 5*k. Factor s(m).
-(m - 3)*(11*m + 2)/6
Let f(i) = -24*i**5 + 36*i**4 - 30*i**3 - 18*i**2 + 32*i - 18. Let l(k) = -k**5 + 2*k**4 - k**3 - k**2 + k - 1. Let y(n) = -2*f(n) + 44*l(n). Factor y(v).
4*(v - 1)*(v + 1)**3*(v + 2)
Suppose -b = 2*f + 8, 2*b + b - 21 = 3*f. What is n in -9/5*n**3 - 6/5 + 6/5*n**b + 9/5*n = 0?
-1, 2/3, 1
Suppose -5*a = m + 1195, 4*m = 3*a + 6*m + 710. Let o = -238 - a. What is d in 0*d + 1/5*d**o + 19/5*d**4 - 12/5*d**5 - 8/5*d**3 + 0 = 0?
0, 1/4, 1/3, 1
Suppose 0 = 6*f + 31 + 17. Let v(l) = -14*l**3 + 4*l**2 - 14*l - 8. Let c(g) = 9*g**3 - 3*g**2 + 9*g + 5. Let s(t) = f*c(t) - 5*v(t). Find q such that s(q) = 0.
0, 1
Suppose -z + 5*u = -5, 3*z - u = -2*z + 1. Suppose -2*b = -z*b - 6. What is a in -1 - a**2 - a**2 + b = 0?
-1, 1
Let l = 1271/7 - 181. Let n be 138/33 - 2/11. Suppose -18*v**3 - l - 109/7*v**2 - 36/7*v - 7*v**n = 0. Calculate v.
-1, -2/7
Let i be 3*(2 - (-2)/(2 - 4)). Let p(m) be the first derivative of -9 - 1/4*m**2 - m + 1/6*m**i. Factor p(v).
(v - 2)*(v + 1)/2
Let s(y) be the first derivative of 4*y**5/5 + 13*y**4 + 68*y**3 + 126*y**2 + 306. Let s(q) = 0. Calculate q.
-7, -3, 0
Let g(u) be the second derivative of u**5/160 - u**3/12 + 174*u. Suppose g(o) = 0. Calculate o.
-2, 0, 2
Let r(h) be the first derivative of 18*h**5/5 - 57*h**4/2 - 82*h**3/3 - 7*h**2 + 49. What is n in r(n) = 0?
-1/3, 0, 7
Let s(f) be the first derivative of 4*f**2 + 0*f + 4 + 5/2*f**4 + 16/3*f**3 + 2/5*f**5. Let s(z) = 0. What is z?
-2, -1, 0
Suppose -1/7*d**3 - 2/7*d**2 + 1/7*d + 2/7 = 0. Calculate d.
-2, -1, 1
Factor 1/3*k**3 + 7*k + 6 + 8/3*k**2.
(k + 2)*(k + 3)**2/3
Let x(u) = u**5 + u**2 - u - 1. Let z(a) = 37*a**5 - 462*a**4 + 1722*a**3 - 2066*a**2 + 617*a + 152. Let t(r) = 2*x(r) + z(r). Suppose t(o) = 0. Calculate o.
-2/13, 1, 5
Let s = -1/50 + 11/50. Suppose 1/5*l**2 + 0*l**4 - s - 1/10*l**5 - 3/10*l + 2/5*l**3 = 0. What is l?
-1, 1, 2
Let y = 1896/815 - -12/163. What is a in y - 52/5*a + 16/5*a**2 = 0?
1/4, 3
Let l(b) be the first derivative of -25*b**4/2 - 35*b**3 + 175*b**2 - 120*b + 14. Factor l(v).
-5*(v + 4)*(2*v - 3)*(5*v - 2)
Factor -1/3*h**4 + h**2 - 16/3*h + 2*h**3 - 4.
-(h - 6)*(h - 2)*(h + 1)**2/3
Factor 0 + 580*k**2 + 41*k**4 - 16*k**4 + 160 - 600*k - 109*k**3 - 101*k**3.
5*(k - 4)*(k - 2)**2*(5*k - 2)
Determine d, given that 0 + 7*d - 1/4*d**3 + 3*d**2 = 0.
-2, 0, 14
Let v(f) be the third derivative of f**5/140 - 5*f**4/28 - 39*f**3/14 - 638*f**2. Factor v(c).
3*(c - 13)*(c + 3)/7
Let j be (-4)/(-3) + (-5)/(90/66)*-1. Factor -q**2 + 7/2*q - 3/2 - 3*q**3 + 5/2*q**4 - 1/2*q**j.
-(q - 3)*(q - 1)**3*(q + 1)/2
Let a(g) = 3*g - 3. Let o(i) = -2*i + 3. Let x(t) = 3*a(t) + 4*o(t). Let r be x(6). Factor r*f - 12*f**2 - 6*f**3 + 2 + 9*f**3 - 2.
3*f*(f - 3)*(f - 1)
What is f in -6/19*f**2 + 4/19*f**3 - 8/19 - 16/19*f + 2/19*f**4 = 0?
-2, -1, 2
Let u be 38/(-16) + 39/104. Let a(q) = 4*q**2 + 19*q. Let z(x) = -x**2 - 6*x. Let o(b) = u*a(b) - 7*z(b). Factor o(p).
-p*(p - 4)
Let c be (-284)/(-497) + (17/7 - 1). Let -1/2*t - 1/2*t**c + 1/2*t**4 + 0 + 1/2*t**3 = 0. Calculate t.
-1, 0, 1
Let o(x) = 2*x**3 + 44*x**2 - x - 20. Let b be o(-22). Let n(f) be the first derivative of -b*f - 3 + 2/3*f**3 + 0*f**2. Determine r, given that n(r) = 0.
-1, 1
Suppose -n + 18 = 2*c + 3*c, 5*n + 2*c + 25 = 0. Let f = -5 - n. Factor -21*m**f + m + 25*m**2 - 5*m + 4 - 4*m.
4*(m - 1)**2
Suppose 3*t - 4*p = -18, -6*t - 5*p = -4*t - 34. Factor -8*c + 12/5 - 7/5*c**t.