(s - 3)*(s - 1)**2
Find o such that 2/13*o**2 - 6/13 + 4/13*o = 0.
-3, 1
Suppose -15 = 15*b - 20*b. Factor -125 - 8*s**b - 165*s - 10*s - 55*s**2 + 3*s**3.
-5*(s + 1)*(s + 5)**2
Let m(l) be the third derivative of l**5/540 + 37*l**4/216 - 13*l**3/9 + 250*l**2. Suppose m(n) = 0. What is n?
-39, 2
Let s = -974 + 2830/3. Let u = s - -31. Factor u*x**2 - 1/3*x**4 + 0*x - 1/3*x**5 + 1/3*x**3 + 0.
-x**2*(x - 1)*(x + 1)**2/3
Let b(l) be the third derivative of -l**6/420 - l**5/42 + l**4/84 + 5*l**3/21 + 68*l**2. Let b(c) = 0. Calculate c.
-5, -1, 1
Find b such that -8/15*b**2 - 326/15*b + 82/15 = 0.
-41, 1/4
Suppose -1444*f = -1473*f. Factor -3/4*r + 7/4*r**3 + f + 1/2*r**2 + 1/2*r**4.
r*(r + 1)*(r + 3)*(2*r - 1)/4
Suppose -63*o + 58*o - 2*x + 6 = 0, 0 = 5*o + 4*x - 2. Solve -3/2*i**o + 0*i - 3/2*i**3 + 0 = 0 for i.
-1, 0
Let p(r) be the first derivative of 2/3*r**3 - 5*r**2 - 4 + 8*r. Determine t so that p(t) = 0.
1, 4
Let a(v) be the second derivative of v**7/126 - 5*v**6/18 + 14*v**5/5 - 4*v**4 - v - 4. Find j such that a(j) = 0.
0, 1, 12
Let s(a) be the second derivative of a**7/504 + 7*a**6/144 - a**4/12 + 11*a**3/6 - 3*a + 10. Let m(z) be the third derivative of s(z). Let m(x) = 0. What is x?
-7, 0
Let o(i) be the first derivative of -5*i**4/4 + 25*i**3/3 - 20*i**2 + 20*i - 79. Factor o(z).
-5*(z - 2)**2*(z - 1)
Let x(v) be the first derivative of -1/10*v**4 + 14/15*v**3 + 0*v - 16 - 6/5*v**2. Factor x(a).
-2*a*(a - 6)*(a - 1)/5
Let f(l) = l**2 + 20*l - 29. Let q be f(-22). Suppose 0 = -31*a + 34*a - q. Suppose 2/3*i**3 + 0 - 4/9*i - 2/9*i**a - 2/9*i**4 + 2/9*i**2 = 0. What is i?
-2, -1, 0, 1
Let f be ((-6)/(-18))/((-5)/(-20)). Factor 0 - f*o**4 + 4/9*o**5 + 4/3*o**3 - 4/9*o**2 + 0*o.
4*o**2*(o - 1)**3/9
Let j be 3/((-15)/(-565))*-1. Let w = -789/7 - j. Solve -2/7*p**4 + 2/7*p**2 + w*p**3 - 2/7*p + 0 = 0.
-1, 0, 1
Let k(y) = 2*y**2 + 44*y - 6. Let q(h) = -h**2 - 2*h + 1. Let j(o) = -k(o) - 6*q(o). Factor j(i).
4*i*(i - 8)
Let o(r) = 53*r - 15. Let p be o(-2). Let a = 124 + p. Factor 2/7*q**a - 8/7*q**2 + 0 + 8/7*q.
2*q*(q - 2)**2/7
Let i be 21/56*((-9)/21*-7 + 5). Find h such that 16/7*h**2 + 0*h + 12/7*h**4 - 18/7*h**5 + 0 + 40/7*h**i = 0.
-2/3, 0, 2
Let j(k) be the second derivative of -k**4/18 - 16*k**3/9 - 178*k. Factor j(h).
-2*h*(h + 16)/3
Let b(q) be the first derivative of q**4/12 - 89*q**3/3 + 5985*q**2/2 - 17689*q/3 + 785. Factor b(g).
(g - 133)**2*(g - 1)/3
Let h be (11 - (1 + 1)) + 1. Suppose 5*d - a = h - 1, d + 2 = 4*a. Factor -3 + 2 + 3 - d*m**2.
-2*(m - 1)*(m + 1)
Solve 378 + 82*w**2 - 5*w**3 - 324*w - 28*w**2 + 2*w**3 + 270 = 0 for w.
6
Let s(f) = -3*f + 14. Let v be s(3). Factor v*x**2 - 4 + 10*x - 8 + 17.
5*(x + 1)**2
Let i be (-2684)/(-1220) + (2/1)/(-10). Factor i + 4/3*c - 2/3*c**2.
-2*(c - 3)*(c + 1)/3
Let c(i) be the third derivative of 5/36*i**5 + 9*i**2 + 1/2*i**3 - 5/12*i**4 + 0 + 0*i. Solve c(a) = 0 for a.
3/5
Let c be 2 + (-4 - -1) - (-1 - -36). Let d = c + 36. Factor d*u + 0 - 2/3*u**4 + 0*u**3 + 2/3*u**2.
-2*u**2*(u - 1)*(u + 1)/3
Factor -5*a**2 + 0 + 5/3*a**4 - 20/3*a**3 + 30*a.
5*a*(a - 3)**2*(a + 2)/3
Solve 22764 - 22764 + 4*f**2 - 5*f + f**3 = 0 for f.
-5, 0, 1
Let r = -7630 + 7634. Solve 1/3*g**r + 0 + 2/3*g + 5/3*g**2 + 4/3*g**3 = 0.
-2, -1, 0
Let s(i) be the first derivative of -i**3/6 - 7*i**2/2 - 67. Factor s(y).
-y*(y + 14)/2
Suppose 4*m - 3*s = -2*s + 7, 0 = -2*m + s + 3. Factor -16*b**3 - 4*b - 4/3*b**5 + 0 - 8*b**4 - 40/3*b**m.
-4*b*(b + 1)**3*(b + 3)/3
Let v = -103 - -93. Let m be v/(-5) + -1 + 2. Solve 0*j**m - 2/11*j**5 - 8/11*j**2 + 6/11*j**4 + 0*j + 0 = 0.
-1, 0, 2
Suppose -5*j = t - 1423, 7*t - 5*j = 4*t + 4349. Find q such that 2*q - t*q**2 + 1441*q**2 + q**5 - 2*q + 2*q**4 - q**3 = 0.
-2, -1, 0, 1
Let j(c) be the third derivative of 0 + 2*c**2 + 0*c**3 - 5/12*c**4 - 1/4*c**5 - 1/24*c**6 + 0*c. Factor j(f).
-5*f*(f + 1)*(f + 2)
Suppose 0 = 72*t - 10*t - 372. Let y(n) be the third derivative of 0*n + 5*n**2 + 1/4*n**4 + 0 - 5/3*n**3 + 1/300*n**t + 3/50*n**5. Factor y(p).
2*(p - 1)*(p + 5)**2/5
Let p(x) be the second derivative of 5*x**7/84 - 13*x**6/12 + 55*x**5/8 - 515*x**4/24 + 110*x**3/3 - 35*x**2 + 185*x. Solve p(u) = 0 for u.
1, 2, 7
Factor -9/7*m**2 - 3/7*m**3 + 0 + 12*m.
-3*m*(m - 4)*(m + 7)/7
Let k = -86 - -91. Factor 1264*y**4 + 0*y**k - 1266*y**4 - y**5 - y**3.
-y**3*(y + 1)**2
Factor 2374*m**3 - 1945 + 5103*m**2 + 2052*m + 800*m**4 + 2107 + 675*m**2 - 6934*m**3.
2*(m - 3)**2*(20*m + 3)**2
Let l(y) = y**3 + 16 + 2 - y - 10 + 6*y**2 + 0*y. Let k be l(-6). Find o such that 17*o**2 - 2 - 1 - k*o**2 = 0.
-1, 1
Let q be 2 + 230/104 + 50 + (-19024)/377. Determine i, given that 0 + q*i**2 - 3/8*i - 75/8*i**3 = 0.
0, 1/5
Let g(m) be the second derivative of 2*m**7/105 + 26*m**6/75 + 42*m**5/25 + 58*m**4/15 + 74*m**3/15 + 18*m**2/5 + 3*m + 19. Factor g(k).
4*(k + 1)**4*(k + 9)/5
Let w(l) = l**3 - l. Let k(h) = -10*h**3 - 62*h**2 - 84*h - 24. Let j(a) = -k(a) + 4*w(a). Solve j(r) = 0.
-2, -3/7
Let j be 5 - (4/(-44) + -609*8/(-1320)). Let -q**4 - 1/5*q**5 + 0 - 2/5*q - j*q**2 - 9/5*q**3 = 0. Calculate q.
-2, -1, 0
Let -5*f**3 + 8*f**2 + 4*f**3 - 16*f - 10*f**4 + 2*f**5 + 13*f**3 = 0. Calculate f.
-1, 0, 2
Let d(u) be the second derivative of -u**6/6 - u**5 + 5*u**4/2 + 10*u**3/3 - 25*u**2/2 - 2*u - 132. Suppose d(m) = 0. Calculate m.
-5, -1, 1
Let c(w) be the first derivative of -w**7/280 - w**6/40 - w**5/16 - w**4/16 - w**2/2 - 17. Let n(k) be the second derivative of c(k). Let n(l) = 0. What is l?
-2, -1, 0
Let x(w) be the first derivative of -4*w**3/15 - 172*w**2/5 - 7396*w/5 + 44. Suppose x(j) = 0. What is j?
-43
Suppose 4*q = y - 4, -14*y + 13*y + 4 = 2*q. Determine v, given that q*v - 4/5*v**2 - 4/5*v**3 + 4/5*v**5 + 0 + 4/5*v**4 = 0.
-1, 0, 1
Factor -13/5 + 391/5*z + 2660*z**3 - 786*z**2 - 200*z**4.
-(z - 13)*(10*z - 1)**3/5
Let g(m) = m**2 - 1. Let y be g(2). Let o be (12/32)/((-135)/(-18) - 6). Find u, given that 0*u + 0*u**4 - o*u**5 + 1/4*u**y + 0 + 0*u**2 = 0.
-1, 0, 1
Determine u, given that 9/4 + 0*u**3 - 3/4*u**4 - 6*u + 9/2*u**2 = 0.
-3, 1
Let i = -43 - -28. Let a be (i/(-25))/(3/15). Solve -9*c**2 - 1 - 2 - 4*c - 6*c + c - a*c**3 = 0 for c.
-1
Let x(q) be the third derivative of 1/12*q**3 + 0 + 8*q**2 + 1/240*q**5 + 1/32*q**4 + 0*q. What is c in x(c) = 0?
-2, -1
Determine x so that 140/3 - 5/6*x**2 + 65/3*x = 0.
-2, 28
Let d(z) be the first derivative of 2*z**3/21 + 6*z**2/7 + 16*z/7 - 400. Let d(n) = 0. Calculate n.
-4, -2
Let k(i) be the first derivative of i**3 - 3*i + 32. Suppose k(o) = 0. Calculate o.
-1, 1
Let i(f) be the first derivative of -3*f**4/4 + 11*f**3 + 57. Factor i(w).
-3*w**2*(w - 11)
Let l(i) be the second derivative of i**6/90 - i**5/15 - i**4/2 - 13*i**3/6 - 5*i. Let u(x) be the second derivative of l(x). Determine p, given that u(p) = 0.
-1, 3
Let g(u) be the first derivative of 15/2*u**2 + 5*u + 5*u**3 - 13 + 5/4*u**4. Suppose g(o) = 0. Calculate o.
-1
Let b = 20999/2424 + 3/808. Factor 4/3 + b*s + 40/3*s**2.
2*(4*s + 1)*(5*s + 2)/3
Solve 4/11*c + 0*c**3 + 2/11*c**4 - 6/11*c**2 + 0 = 0.
-2, 0, 1
Let v be (-70)/(-6) + (2 - (-10)/(-6)). Factor -15*o + 4*o**4 + 3 - 6*o**3 + 0 - 3*o**4 + v*o**2 + 5*o.
(o - 3)*(o - 1)**3
Suppose -24 = -2*j + 3*p, -5*j + 57*p - 15 = 62*p. Factor -7290/7*m**2 + 1/7*m**5 + 32805/7*m - 59049/7 + 810/7*m**j - 45/7*m**4.
(m - 9)**5/7
Determine r so that 74/15*r - 8/3*r**2 + 2/15*r**3 - 12/5 = 0.
1, 18
Let i = 131/82 - 4/41. Let o = 565 - 563. Factor 3/4*n + 0 + 3/4*n**3 + i*n**o.
3*n*(n + 1)**2/4
Suppose -38*q = -33*q - 15. Let m(r) be the first derivative of -r**q - 9/2*r**2 - 2 - 6*r. Factor m(y).
-3*(y + 1)*(y + 2)
Let o(m) be the second derivative of -25*m**7/63 + m**6 - 4*m**5/5 + 2*m**4/9 + 3*m - 2. Determine n, given that o(n) = 0.
0, 2/5, 1
Let c(l) be the third derivative of -l**8/960 + l**7/420 + 23*l**5/60 + 7*l**2. Let a(w) be the third derivative of c(w). Factor a(b).
-3*b*(7*b - 4)
Suppose -5*o - 19 = -4*l + 2*l, -5*l + 4*o = -39. Factor -40*g + 22*g**2 - 10*g**3 - 18*g**4 - l*g**4 + 5*g**5 - 2*g**2 + 40*g**3.
5*g*(g - 2)**3*(g + 1)
Suppose -2*q - 3*q = 85. Let z = q - -21. Factor c**2 + z + 0*c**2 - 5.
(c - 1)*(c + 1)
Let r(m) be the third derivative of -m**5/120 + 5*m**4/48 + 2*m**3 + 136*m**2. Factor r(p).
-(p - 