 f(r) = r**4 + r**2 - r - 1. Let o(l) = -18*f(l) + 2*h(l). What is p in o(p) = 0?
-3, -1
Suppose 2*p + 5*b - 16 = b, 3*p - 23 = -5*b. Suppose p*r = 3*r. Factor 3/2 + r*t - 3/2*t**2.
-3*(t - 1)*(t + 1)/2
Let g(y) = -11*y**3 - 4*y**2 - 17*y - 36. Let s(r) = 8*r**3 + 3*r**2 + 11*r + 24. Let u(m) = -5*g(m) - 7*s(m). Determine i, given that u(i) = 0.
-2, 3
Suppose 5*i - 3*i - 546 = 0. Let n be (-30)/i + (-24)/(-42). Suppose 14/13*m**2 - 22/13*m**4 + n*m**5 + 8/13 + 18/13*m**3 - 24/13*m = 0. Calculate m.
-1, 2/3, 1, 2
Factor 3*m + 1 + 346*m**2 - 3*m**3 - 337*m**2 - 10.
-3*(m - 3)*(m - 1)*(m + 1)
Let 0*a - 8/3*a**2 - 7/3*a**3 + 1/3*a**4 + 0 = 0. What is a?
-1, 0, 8
Suppose 236 = 5*v + 221. Let n = -6 + 9. Factor 3*c**4 + 205 - 3*c**3 + v*c - 205 - n*c**2.
3*c*(c - 1)**2*(c + 1)
Suppose 2*f + 2 = -3*m, 0 = m + 5*f + 15 - 10. Let s(w) be the first derivative of m*w - 3/20*w**4 + 6 + 3/5*w**2 + 1/5*w**3. Solve s(n) = 0.
-1, 0, 2
Let h(w) = w**2 + w. Let n be h(-2). What is f in f**3 + 24*f**n - 21*f**2 + 2*f**3 = 0?
-1, 0
Let l(g) be the first derivative of -2*g**5/45 - 4*g**4/9 - 2*g**3/3 + 38*g**2/9 + 80*g/9 + 34. Find c, given that l(c) = 0.
-5, -4, -1, 2
Let u(y) = -y**3 + 18*y**2 - y - 268. Let o be u(17). Factor 0*r - 2/9*r**5 + 0*r**2 + 8/9*r**o + 0 - 8/9*r**3.
-2*r**3*(r - 2)**2/9
Let p be 18/(-81) - (-20)/9. Suppose 8*x = 4*x + 5*a + 49, 40 = 5*x - p*a. Solve x*l**3 - 6*l**2 + 3*l - 3*l**4 + 3/5*l**5 - 3/5 = 0.
1
Find d, given that -3*d**2 - 9*d**2 + 9*d**2 - 918*d - 46695 - 23532 = 0.
-153
Let m(y) be the third derivative of y**5/300 + 2*y**4/15 - 6*y**3/5 - 18*y**2 + 3. Find d, given that m(d) = 0.
-18, 2
Factor 20*u + 12*u + 5*u**2 - 43*u - 150 + 6*u.
5*(u - 6)*(u + 5)
Factor -3*z + 0 - 24/7*z**2 - 3/7*z**3.
-3*z*(z + 1)*(z + 7)/7
Let b(h) be the second derivative of -16*h - 3/4*h**2 + 1/4*h**4 + 0*h**3 - 1/20*h**6 + 0*h**5 + 0. Let b(p) = 0. What is p?
-1, 1
Let o(d) = 13*d**3 + 4*d**2 - 4*d. Let v(k) = 7*k**3 + 2*k**2 - 2*k. Let w = -8 - -12. Let a be 2/w - (-10)/4. Let q(g) = a*o(g) - 5*v(g). Factor q(x).
2*x*(x + 1)*(2*x - 1)
Let g = -53 + 57. Let 9*t**2 - t**3 - 15*t**2 + 9*t**2 - t - 2*t**3 + t**g = 0. What is t?
0, 1
Solve 72*f**3 + 41 - 5 - 62*f**3 - 15*f**2 - 42*f - 5*f**4 + 13*f**2 + 3*f**4 = 0 for f.
-2, 1, 3
Let w be (-20)/(-6)*84/70. Let j(h) = h**3 - h**2 + h - 1. Let u(o) = -6*o**3 + 8*o**2 - 4*o + 4. Let k(f) = w*j(f) + u(f). Solve k(s) = 0 for s.
0, 2
Suppose o - 5*m + 17 = 0, 15 = o - 0*o + 3*m. Suppose k - 5*k - 6 = -5*t, -1 = -2*t + o*k. Solve -3*j - 2*j**2 + 2 + 0 + j + t = 0.
-2, 1
Suppose -4*p + 1/7*p**2 + 27/7 = 0. Calculate p.
1, 27
Find y such that 12/11*y**2 + 76/11*y**3 - 18/11*y**5 + 6/11*y**4 - 90/11*y - 50/11 = 0.
-1, 5/3
Suppose 2*h + 3*h + 8 = -4*b, 5*b = 15. Let x = h + 21/5. Factor 4/5*k + 4/5*k**3 + 6/5*k**2 + 1/5*k**4 + x.
(k + 1)**4/5
Suppose -18 = -6*s + 12. Solve v + 10*v**3 + s*v**5 - 10*v**5 - 6*v = 0 for v.
-1, 0, 1
Let i(n) = -n**2 + 11*n - 10. Let y be i(5). Factor -16*v**3 + y*v**4 + 4*v**2 - 8*v**5 - 7 + 7.
-4*v**2*(v - 1)**2*(2*v - 1)
Let x(o) be the third derivative of 5/3*o**3 + 0*o + 25/24*o**4 + 1/3*o**5 + 1/24*o**6 + 0 - 26*o**2. Factor x(u).
5*(u + 1)**2*(u + 2)
Let w = -2/2323 - -6983/16261. Let z(j) be the first derivative of 3/7*j - 7 - 3/28*j**4 - 9/14*j**2 + w*j**3. Factor z(a).
-3*(a - 1)**3/7
Suppose 3*y - 15 = -2*y. Suppose 125 = y*n - 37. Factor 4*o**2 + 38 + 14*o**2 - n*o - 2*o**3 - 9 + 25.
-2*(o - 3)**3
Let u(j) = j**2 - j. Let f(t) be the first derivative of -3*t**3 + 4*t**2 + 4*t - 13. Let v(y) = 5*f(y) + 40*u(y). Factor v(g).
-5*(g - 2)*(g + 2)
Suppose -2/13 + 2/13*i**2 + 0*i = 0. Calculate i.
-1, 1
Let d = 2/935133 + 671424904/275864235. Let f = d - 2/59. Determine o so that 28/5*o**3 - f*o**4 - 4/5 + 2/5*o**5 + 18/5*o - 32/5*o**2 = 0.
1, 2
Let h(f) be the first derivative of f**4/14 - 8*f**3/21 + 5*f**2/7 - 4*f/7 + 62. What is r in h(r) = 0?
1, 2
Let g = 2603/3 - 865. Determine i, given that -4/3*i**2 + 0 - g*i = 0.
-2, 0
Solve 8/3*h + 4 + 1/3*h**2 = 0.
-6, -2
Suppose -39 = 5*n + 1. Let w be 5 + n + 3 + 0 + 0. Suppose w*l**2 + 2/3 + 4/3*l - 2/3*l**4 - 4/3*l**3 = 0. What is l?
-1, 1
Let m(l) = -13*l - 153. Let u be m(-12). Let z(a) be the first derivative of 2 + 1/15*a**u - 2/5*a + 1/10*a**2. Determine n so that z(n) = 0.
-2, 1
Let o(d) = 64*d**2 + 7*d - 4. Let f(k) = 4*k**2 - k - 1. Let i(b) = -4*f(b) + 4*o(b). Factor i(s).
4*(6*s - 1)*(10*s + 3)
Let t(k) = 4*k**5 + 16*k**4 - 9*k**3 - 4*k**2 - 7*k + 7. Let p(s) = -s**5 - 5*s**4 + 3*s**3 + s**2 + 2*s - 2. Let c(w) = -7*p(w) - 2*t(w). Factor c(r).
-r**2*(r - 1)**3
Let b(r) be the third derivative of -r**5/180 + r**4/6 - 35*r**3/18 - 443*r**2. Factor b(y).
-(y - 7)*(y - 5)/3
Let v(l) be the third derivative of -l**6/360 - 2*l**5/45 - 7*l**4/24 - l**3 - 121*l**2. Factor v(i).
-(i + 2)*(i + 3)**2/3
Suppose -19*z + 64 = -15*z. Suppose 22*b - z*b = 18. Factor 0 + 0*a - 1/5*a**5 + 1/5*a**4 + 0*a**2 + 0*a**b.
-a**4*(a - 1)/5
Suppose 3*b - 61 = -3*q - 2*q, 0 = 3*b + 9. Let l be -2*(-23)/q - 10/35. Factor 3/5*v - 6/5*v**2 + 3/5*v**l + 0.
3*v*(v - 1)**2/5
Let g = -3943/176 + 254/11. Let k(z) be the second derivative of 1/24*z**6 - 3*z + g*z**4 + 11/40*z**5 + 5/6*z**3 + 1/2*z**2 + 0. Determine o so that k(o) = 0.
-2, -1, -2/5
Factor -12 - 59/7*q + 1/7*q**3 + 26/7*q**2.
(q - 3)*(q + 1)*(q + 28)/7
Let v(n) be the first derivative of -n**4/6 + 2*n**3/3 + 3*n - 10. Let j(h) be the first derivative of v(h). Let j(s) = 0. What is s?
0, 2
Let f(c) be the second derivative of c**7/252 + 23*c**6/90 + 6*c**5 + 225*c**4/4 + 375*c**3/4 + 3*c + 75. Factor f(z).
z*(z + 1)*(z + 15)**3/6
Let g(d) = -d**2 - 5*d + 11. Let p be g(-7). Let q be (-2)/(-12)*(p + 7). Factor -2/3*n + q + 1/6*n**2.
(n - 2)**2/6
Let w = -635 + 1315/2. Let z = -20 + w. Factor k**2 - z*k**3 - 1 + 5/2*k.
-(k - 1)*(k + 1)*(5*k - 2)/2
Let z = 632399/62456 - 4/7807. Factor 0 - z*h**5 - 5*h**3 + 0*h - 1/2*h**2 - 117/8*h**4.
-h**2*(h + 1)*(9*h + 2)**2/8
Suppose -85 = 46*m - 63*m. Let h(y) be the first derivative of 0*y + 2/95*y**m - 4/19*y**2 - 5/38*y**4 + 13 + 16/57*y**3. Factor h(b).
2*b*(b - 2)**2*(b - 1)/19
Let o be (((-390)/(-24))/13)/(1/60). Let c be o/40 - 6/(-16). Find a such that -3/2 + c*a - 3/4*a**2 = 0.
1, 2
Suppose 0 = 47*c + 47*c - 104*c + 30. Factor 0 + 2/11*s**c + 12/11*s**2 + 16/11*s.
2*s*(s + 2)*(s + 4)/11
Let t(g) be the second derivative of 1/6*g**4 - 1/2*g**2 + 1/6*g**3 - 1/30*g**6 + 0 - 1/10*g**5 + 1/42*g**7 - 5*g. Determine c so that t(c) = 0.
-1, 1
Let q(n) be the second derivative of n**7/2520 - n**6/360 + n**5/120 + 11*n**4/12 + 5*n. Let t(k) be the third derivative of q(k). Let t(y) = 0. What is y?
1
Let -13*k**2 - 20*k - 12 + 8*k**2 - 11 + 3 = 0. What is k?
-2
Suppose -2/9*p**5 - 68/9*p**4 - 752/9*p**2 - 362/9*p**3 - 680/9*p - 224/9 = 0. What is p?
-28, -2, -1
Let h be (-4)/(-18) - 16/(-36). Suppose 127 = -11*s + 127. Factor -2/3*n**4 + s + h*n**2 + 0*n + 0*n**3.
-2*n**2*(n - 1)*(n + 1)/3
Let m(y) be the second derivative of 0*y**3 - 5/12*y**4 + 0 + 5/2*y**2 - 7*y. Factor m(o).
-5*(o - 1)*(o + 1)
Suppose -2*a + 16 = 4*h, 2*h + 1 - 11 = -2*a. Suppose -4*v = -a*v - 4. Factor 8*s - 8*s + 4 + 5*s**2 - 9*s**v.
-4*(s - 1)*(s + 1)
Let k = -16 - -18. Solve 10*z - 8*z + 8*z + 2*z**k + 8 = 0 for z.
-4, -1
Solve -12/5*c**2 + 3/5*c**3 - 384/5*c + 2304/5 = 0 for c.
-12, 8
Let a be 279/180 - (-3)/(-2). Let q(w) be the second derivative of 0*w**4 + 2*w + 0 + 0*w**2 + a*w**5 - 1/6*w**3. Factor q(f).
f*(f - 1)*(f + 1)
Let s(j) = 135*j**4 + 365*j**3 - 90*j**2 - 530*j + 110. Let f(a) = -45*a**4 - 122*a**3 + 30*a**2 + 177*a - 37. Let d(b) = -10*f(b) - 3*s(b). Factor d(y).
5*(y - 1)*(y + 2)**2*(9*y - 2)
Let x = -9772/3 - -3258. Factor -4/9*u**2 + 0*u + 0 - x*u**3 - 2/9*u**4.
-2*u**2*(u + 1)*(u + 2)/9
Suppose 9*m - 8*m = 32. Let q = 34 - m. Factor -3*s**2 + 3*s**2 - 14*s**q - 8 - 32*s.
-2*(s + 2)*(7*s + 2)
Let a be 5 - 420/100 - 1/(-30)*-14. Determine d, given that 1/3*d**4 - 4/3 - 5/3*d**3 + 1/3*d**5 + 8/3*d - a*d**2 = 0.
-2, 1
Let t(b) = 2*b**4 - 44*b**2 - 32*b + 10. Let v(k) = k**3 + k**2 - k - 1. Let f(m) = -t(m) - 10*v(m). Factor f(x).
-2*x*(x - 3)*(x + 1)*(x + 7)
Let y(m) = 3*m - 6*m**2 - 11 - 27*m + m**2 + 3*m**3. Let t(k) = 20*k**3 - 32*k**2 - 156*k - 72. Let f(h) = 