l - 154*l**2 + 1/2*l**5 - 26 - 24*l**4 - 101*l**3.
(l - 52)*(l + 1)**4/2
Let l be (-3)/(-9)*(-36)/(-15). Suppose 48 + 153 = 67*r. Factor 0*u - 1/5*u**r - l*u**2 + 0.
-u**2*(u + 4)/5
Determine p so that -332442*p**2 + 4056*p - 1739010*p**3 - 8823675/4*p**4 - 12 = 0.
-2/5, 2/343
Let m(u) be the first derivative of u**3/4 - 27*u**2/8 + 15*u + 5925. Factor m(n).
3*(n - 5)*(n - 4)/4
Suppose 3*k + 2*k - 143 = 3*z, 141 = -3*z + 3*k. Let w be 8/32 + (z/24 - -3). Factor 7/3*p**4 + w*p**5 + 2/3*p**3 - 1/3*p**2 + 0 + 0*p.
p**2*(p + 1)**2*(4*p - 1)/3
Suppose -56/5 - 2/15*q**2 + 88/15*q = 0. What is q?
2, 42
Let g be 7 - ((-225)/(-5))/9. Determine k, given that 80*k + 140*k**3 + 5*k**5 + 25*k**2 + 59*k**4 - 14*k**4 + 155*k**g + 0*k**5 = 0.
-4, -2, -1, 0
Let f(l) = 4*l**3 - l**2 - 2*l - 2. Let y(s) = -57*s**3 - 4425*s**2 + 1964*s - 232. Let o(i) = 6*f(i) - y(i). Factor o(n).
(n + 55)*(9*n - 2)**2
Let u be 5/25*0*-1. Let f(b) = -b**2 - b + 26. Let m be f(u). Factor 5*y**2 + 17*y + m*y - 53*y.
5*y*(y - 2)
Let u(x) = 2*x**3 + x**2 - 2*x. Let w(d) = 22*d**3 + 36*d**2 + 72*d + 96. Let g(o) = 20*u(o) - 2*w(o). Solve g(y) = 0.
-8, -3, -2
Let c(a) be the first derivative of a**4/54 + 25*a**3/27 + 21*a - 155. Let s(x) be the first derivative of c(x). Determine m so that s(m) = 0.
-25, 0
Let x be 2305/4 - (5 + 114/(-24)). Let n be (x/(-30))/(2/(-10)). Factor -276*j**4 - 149*j**5 - 16*j**2 + n*j**3 + 192*j**4 - 47*j**5.
-4*j**2*(j + 1)*(7*j - 2)**2
Suppose -141*h = -145*h + 1820. Factor 3*u**2 + 0*u**2 + 449 - h - 4*u + 7*u.
3*(u - 1)*(u + 2)
Factor 27781*j**2 + 404 + 89*j + 164 - 3*j**3 + j**3 - 27629*j**2 - 807*j.
-2*(j - 71)*(j - 4)*(j - 1)
Let p(b) be the second derivative of b**6/1800 + b**5/25 + 6*b**4/5 + 17*b**3/2 - 9*b + 1. Let y(k) be the second derivative of p(k). Let y(a) = 0. What is a?
-12
Let k be (0 - 4/(-105)) + 7100/(-420) + 17. Let l(i) be the first derivative of -i**2 + 3 + 12/5*i + k*i**3. Factor l(z).
2*(z - 3)*(z - 2)/5
Let s(a) be the second derivative of 33*a - a + 30*a**2 - 14*a**4 + 64*a**3 + a**5 - 94*a**2. Factor s(c).
4*(c - 4)**2*(5*c - 2)
Let f(w) be the first derivative of w**4/14 + 300*w**3/7 - 451*w**2/7 + 2142. Suppose f(u) = 0. What is u?
-451, 0, 1
Suppose 0 = -2*g + 5028*k - 5031*k + 2, -2*k = 5*g - 16. Let 1/4 - 3/8*r - 1/8*r**2 - 1/8*r**g + 3/8*r**3 = 0. What is r?
-1, 1, 2
Factor 1307*p**2 + 7*p**4 + 1572 - 3665*p**2 - 3293*p**2 + 2360*p - 3778*p**2 + 3153*p**3 + 2337*p**3.
(p - 1)**2*(p + 786)*(7*p + 2)
Suppose u + 3*u - 568 = 0. Let j = u + -138. Determine x so that -18*x**5 + 2*x**5 + x**5 - 35*x**4 - 15*x**3 + 10*x - j*x**2 + 19*x**2 = 0.
-1, 0, 2/3
Determine l so that 21*l**3 + 13*l**3 - 176*l + 47*l**4 - 43*l**4 - 2*l**3 - 148*l**2 = 0.
-11, -1, 0, 4
Factor 716*z**3 - 71*z**4 + 715*z**2 + 581*z**2 - 1940*z**3 + 31*z**5 - 32*z**5.
-z**2*(z - 1)*(z + 36)**2
Let o(v) = 2*v**2 - 5*v + 1. Let c(f) = -f**4 + 33*f**3 - 315*f**2 + 730*f - 449. Let q(s) = 3*c(s) - 3*o(s). Let q(r) = 0. What is r?
1, 2, 15
Let d(m) be the second derivative of -5*m**7/42 + 14*m**6/3 - 193*m**5/4 - 215*m**4/6 + 1610*m**3/3 - 980*m**2 + 873*m. Find v, given that d(v) = 0.
-2, 1, 14
Let 387/7 + 249/7*v + 3/7*v**3 - 135/7*v**2 = 0. What is v?
-1, 3, 43
Suppose 0 = -10*q + 3*q - 140. Let h be 99/18 - (-25)/q. Determine y so that 1/2 - h*y + 17/4*y**3 + 13/4*y**2 - 15/4*y**4 = 0.
-1, 2/15, 1
Factor -20 + 6*z - 1/4*z**2.
-(z - 20)*(z - 4)/4
Suppose 2380 = -44*i + 10*i. Let j be 1/(-30)*-24 + (-24)/i. Find r, given that 8/7*r**5 + j - 20/7*r**3 - 36/7*r - 12/7*r**4 + 52/7*r**2 = 0.
-2, 1/2, 1
Let z = 1489/962 - 23/481. Let j(b) be the first derivative of -32 + z*b**2 - 1/3*b**3 + 0*b. Suppose j(o) = 0. Calculate o.
0, 3
Let z(s) be the second derivative of -s**5/20 - 5*s**4/8 - 87*s**2 + 100*s. Let c(n) be the first derivative of z(n). Let c(i) = 0. What is i?
-5, 0
Let i = 660 - 659. Let r be (0 + -7 - -7)/i. Find q, given that -2/9*q**4 + r*q**2 - 4/9*q + 2/9 + 4/9*q**3 = 0.
-1, 1
Let p = -9/725 + 49753/1450. Let k(f) be the first derivative of 49/8*f**4 + 35*f**3 + 19*f**2 + 4*f - p*f**5 + 10. Solve k(r) = 0 for r.
-2/7, 1
Suppose 4*j - 986 = -2762. Let y = -444 - j. Let 12*k**2 + 4/3*k + y + 33*k**4 + 103/3*k**3 + 28/3*k**5 = 0. Calculate k.
-2, -1, -2/7, -1/4, 0
Let p(n) be the third derivative of 26 - 4*n**2 + 0*n**3 + 7/150*n**5 + 1/300*n**6 + 0*n - 2/15*n**4. Suppose p(y) = 0. Calculate y.
-8, 0, 1
Let b = 153283 + -766413/5. Factor 1/5*z**2 - b + 1/5*z.
(z - 1)*(z + 2)/5
Let m(j) = -6*j**3 + 51*j**2 - 75*j + 39. Suppose 22*u + 52 = 9*u. Let n(f) = -3*f**3 + 25*f**2 - 37*f + 19. Let r(a) = u*m(a) + 9*n(a). Factor r(k).
-3*(k - 5)*(k - 1)**2
Solve 453/2*k**2 + 1/2*k - 1/2*k**3 - 453/2 = 0 for k.
-1, 1, 453
Determine d so that -50/3*d**4 + 617/6*d**3 - 50/3*d**2 - 2*d + 0 = 0.
-2/25, 0, 1/4, 6
Find a such that 6*a**2 - 34128 - 2204*a + 32060 - 2*a**2 + 140*a = 0.
-1, 517
Suppose -234*j - 203*j = 143*j. Suppose 6/7*s**2 + j - 3/7*s**3 - 3/7*s = 0. Calculate s.
0, 1
Suppose -12*r + 10349 = -15199. Suppose -r*q = -2132*q + 9. Factor 0*p**2 + 0 - 1/2*p**q + 1/2*p.
-p*(p - 1)*(p + 1)/2
Suppose 89682 = 1682*w + 1412*w - 95958. Solve -2/3*b**3 + 8/3*b**2 + 34*b + w = 0.
-3, 10
Let u(c) be the third derivative of -c**10/378000 - c**9/37800 - c**8/21000 + 31*c**4/12 - 49*c**2. Let i(p) be the second derivative of u(p). Factor i(o).
-2*o**3*(o + 1)*(o + 4)/25
Let d(c) be the second derivative of 1/30*c**4 + 0*c**3 - 1/75*c**6 + 1 + 5*c - 1/105*c**7 + 1/50*c**5 + 0*c**2. Suppose d(h) = 0. What is h?
-1, 0, 1
Let n(s) be the first derivative of -16*s**3/3 - 154*s**2 - 76*s + 4963. Factor n(o).
-4*(o + 19)*(4*o + 1)
Let s(v) = v - 8. Suppose -46 = -5*y - 2*m, 4*y - 30 = -6*m + m. Let k be s(y). Factor 54*p + 5488*p**3 - 9604*p**4 + 58*p + 50 - 1176*p**k - 54.
-4*(7*p - 1)**4
Let o(z) be the first derivative of 103 - 7/2*z**2 + z**3 + 11/3*z + 1/12*z**4. Solve o(t) = 0 for t.
-11, 1
Suppose 9*b + 1424 = 11*b + 2*o, 0 = b - 5*o - 688. Factor 18*n**2 + 148*n + 104 + b*n**3 + 22*n**2 - 712*n**3.
-4*(n - 13)*(n + 1)*(n + 2)
Let u = 47 + -45. Suppose 2*c + 4 = 2*v - u*c, -4*v + 23 = -3*c. Suppose -4*h**2 - v*h**3 - 3*h**5 - 12*h**3 - 8*h**2 + 41*h**3 - 6*h**4 = 0. Calculate h.
-4, 0, 1
Let b(m) = 4*m + m + 2*m - 6*m. Let j(n) = 5*n**2 + 4*n. Suppose -5*x - q - 2 = -2*x, -2*x + 5*q - 7 = 0. Let r(z) = x*j(z) - 6*b(z). Factor r(i).
-5*i*(i + 2)
Suppose 61605/2 + 555*r + 5/2*r**2 = 0. Calculate r.
-111
Let v(z) = -5*z**3 + 79*z**2 + 5*z - 79. Let a(j) = -7*j**3 + 80*j**2 + 7*j - 80. Let q(t) = 4*a(t) - 6*v(t). Factor q(i).
2*(i - 77)*(i - 1)*(i + 1)
Let f(x) be the first derivative of -1/12*x**4 - 5/9*x**3 + 1/3*x**2 + 8*x + 118. Factor f(m).
-(m - 2)*(m + 3)*(m + 4)/3
Let i(l) be the first derivative of 3*l**5/10 + 39*l**4/8 + 23*l**3 + 9*l**2 - 108*l - 3276. Factor i(u).
3*(u - 1)*(u + 2)*(u + 6)**2/2
Suppose 5*s = -4*j + 3, -3*s + 2*s - 2*j - 3 = 0. Suppose -22 - 38*h + 2 + 22*h**2 + 25 - 2*h**s + 13 = 0. What is h?
1, 9
Let d be (-2)/28 - (43036/5880)/(-53). Let p(t) be the first derivative of -4/5*t - 4 - d*t**3 + 1/2*t**2. Factor p(l).
-(l - 4)*(l - 1)/5
Let d(n) be the third derivative of 1/25*n**5 - 2 - 16/5*n**3 - 1/3*n**4 + 0*n + 81*n**2 + 1/150*n**6. Factor d(l).
4*(l - 3)*(l + 2)*(l + 4)/5
Let x(f) be the third derivative of -f**6/40 - 17*f**5/10 - 91*f**4/2 - 588*f**3 + 431*f**2 + 2. Let x(w) = 0. Calculate w.
-14, -6
Determine p, given that -933*p**5 + 255*p**2 + 34*p**4 + 200*p + 11*p**4 + 60 - 934*p**5 + 155*p**3 + 1872*p**5 = 0.
-3, -2, -1
Let n(k) be the second derivative of 3/7*k**3 - 153 + 0*k**2 - 2*k + 1/126*k**4. Factor n(u).
2*u*(u + 27)/21
Let z(s) be the first derivative of 3*s**4/20 - 87*s**3/5 - 267*s**2/5 - 1381. Factor z(n).
3*n*(n - 89)*(n + 2)/5
Let t(m) be the third derivative of 6*m**7/35 + 11*m**6/30 - 502*m**5/15 + 592*m**4/3 + 192*m**3 - 2*m**2 + 140. Find l, given that t(l) = 0.
-9, -2/9, 4
Factor -2496*d**2 + 1800/7*d**3 - 27/7*d**4 - 3/7*d**5 + 50688/7*d + 0.
-3*d*(d - 8)**3*(d + 33)/7
Let i(j) be the third derivative of -1 + 1/210*j**5 + 0*j**3 - 70*j**2 - 19/28*j**4 + 0*j. Factor i(n).
2*n*(n - 57)/7
Let t = 453 - 450. Suppose -t*o - 10 = 2*h + 2, o = 2*h - 4. Suppose 0*l + h + 0*l**3 + 4/7*l**4 - 4/7*l**2 = 0. Calculate l.
-