t 0 + 4/5*u**4 + 2/5*u + 0*u**3 - a*u**5 - 4/5*u**2 = 0.
-1, 0, 1
Suppose -d**4 - 7*d**2 - 221*d**3 + 449*d**3 - 219*d**3 - 7*d**2 = 0. What is d?
0, 2, 7
Let s = 51/470 + -2/235. Let a(j) be the second derivative of 1/30*j**3 + 7*j - 1/100*j**5 - s*j**2 + 1/60*j**4 + 0. What is b in a(b) = 0?
-1, 1
Let d(m) be the third derivative of -1/48*m**5 + 11*m**2 + 7/96*m**4 - 1/8*m**3 + 0 + 0*m + 1/480*m**6. Factor d(x).
(x - 3)*(x - 1)**2/4
Let z(u) = -u**4 - u**3 - u**2 + u + 3. Let l(r) = 14*r**3 - 8*r**2 - 2*r - 6. Let n(i) = l(i) + 2*z(i). Factor n(k).
-2*k**2*(k - 5)*(k - 1)
Let f be (-956)/(-11)*(-2)/12. Let w = f + 44/3. Factor -w*o**5 + 2/11*o**4 + 2/11 - 4/11*o**2 - 2/11*o + 4/11*o**3.
-2*(o - 1)**3*(o + 1)**2/11
Factor -58322 - 992*m - 55*m - 4*m**2 + 71*m + 16462 - 17676.
-4*(m + 122)**2
Suppose -180 = -29*i + 25*i. Suppose 0 = o + 14*o - i. Solve -1/3*h**o - 1/3*h**2 + 0 + 0*h = 0 for h.
-1, 0
Let b(m) be the second derivative of m**4/66 + 2*m**3/33 - 8*m**2/11 + m + 15. Factor b(a).
2*(a - 2)*(a + 4)/11
Let x be (-3)/1 + (-5 - -43). Suppose -3*m - x = -2*j, 2*j - 4*m - 52 = -j. Factor -4*d**3 + 33*d**2 - 6*d - 44*d**3 + 5*d**4 + j*d**4.
3*d*(d - 1)**2*(7*d - 2)
Suppose 42*y = 38*y + 8. Factor -y + 364*j + 4*j**3 + 2*j**4 + 0*j**3 - 368*j.
2*(j - 1)*(j + 1)**3
Let h(z) be the second derivative of 0 + 0*z**2 + 4*z + 1/78*z**4 + 1/130*z**5 + 0*z**3. Determine p, given that h(p) = 0.
-1, 0
Let i be 4/18 - 68/(-18). Let u be 16/(-20)*65/(-26). Solve i*v**2 + 18*v**3 + 0*v**2 + 2*v**u - 2*v**2 = 0.
-2/9, 0
Let c be (3/(-81))/(22/(-660)). Suppose -8/9*u - c + 2/9*u**2 = 0. What is u?
-1, 5
Let l(z) = z**3 - 9*z**2 + 6*z + 19. Let v be l(8). Factor 4*n + 13*n**v - 30*n**3 + 16*n**3.
-n*(n - 2)*(n + 2)
Suppose 0 = -0*k - 6*k - 48. Let c be ((-22)/(-8))/((-2)/k). Determine v, given that c - 3 - 8*v - v**2 + 0 + 3*v**2 = 0.
2
Let a be 14*((-5)/(-2) - 3). Let x be ((-35)/(-75))/a + (-2)/(-5). Factor 1/3 - 1/3*i**2 + 1/3*i**3 - x*i.
(i - 1)**2*(i + 1)/3
Let l = 71/42 - 19/14. Let m(z) be the first derivative of 0*z**3 - 1 - l*z**6 + 0*z**2 + 0*z**5 + 0*z + 1/2*z**4. Factor m(i).
-2*i**3*(i - 1)*(i + 1)
Suppose -8 = -f - 0*f. Let r = 12 - f. Find h such that 0*h + 24*h**3 + 4*h**5 + 4*h + 9*h**2 + 7*h**2 + 16*h**r = 0.
-1, 0
Let t(u) be the first derivative of -u**6/210 - u**5/56 - u**4/56 - 14*u**3/3 - 6. Let w(d) be the third derivative of t(d). Factor w(l).
-3*(l + 1)*(4*l + 1)/7
Let x = -82528 + 744914/9. Let a = -240 + x. Factor -4/9 - 2/3*t - a*t**2.
-2*(t + 1)*(t + 2)/9
Let t = -3 - -7. Suppose 0 = 5*g - y - 12, -12*g + 10*g + 2*y + 8 = 0. Factor -2*p**2 - 6*p**t - 2*p - 8*p**3 + g*p.
-2*p**2*(p + 1)*(3*p + 1)
Let r(x) be the first derivative of x**7/780 + x**6/195 - 5*x**5/156 + x**4/26 + 2*x**3/3 + 13. Let k(s) be the third derivative of r(s). Factor k(y).
2*(y - 1)*(y + 3)*(7*y - 2)/13
Let l(z) = 6*z**3 - z**2 - 5*z - 5*z**3 + 308 - 306. Let o be l(3). Factor -20 - 2*k**2 - k + o*k + 2 + 8*k.
-2*(k - 3)**2
Let p(o) = -o**2 + 7*o - 6. Let j be p(5). Suppose j*b = b + 5*l + 21, -3*b - 6 = 4*l. Find h such that h**2 - 7*h**2 + h**b + 4*h + 3*h**2 = 0.
0, 2
Let b(z) be the third derivative of 1/84*z**4 + 0 + 3*z**2 + 0*z - 2/7*z**3 + 1/210*z**5. Factor b(d).
2*(d - 2)*(d + 3)/7
Let t(v) be the first derivative of -v**4/10 + 8*v**3/15 - v**2 + 4*v/5 + 39. Factor t(d).
-2*(d - 2)*(d - 1)**2/5
Factor -23/8*q**3 - 13*q**2 - 27/2*q + 0 + 1/8*q**4.
q*(q - 27)*(q + 2)**2/8
Let -28/11*x**2 - 2/11*x**3 - 98/11*x + 0 = 0. Calculate x.
-7, 0
Let r(b) be the second derivative of -2*b**6/105 - b**5/35 + 5*b**4/21 - 2*b**3/7 - 30*b. Factor r(x).
-4*x*(x - 1)**2*(x + 3)/7
Let q(u) be the first derivative of 12 + 0*u - 1/10*u**5 - 1/6*u**6 + 0*u**4 + 0*u**3 + 0*u**2. Suppose q(r) = 0. What is r?
-1/2, 0
Let k be 0*11/(-121)*(-5)/10. Factor 1/4*v**2 - 1/4 + k*v.
(v - 1)*(v + 1)/4
Let j be ((-3)/((-18)/(-16)))/(118/(-2)). Let i = 9703/708 + j. Suppose -1 - 45/4*r**5 - 107/4*r**4 + 27/4*r**2 + 4*r - i*r**3 = 0. What is r?
-1, 2/9, 2/5
Let w(n) be the third derivative of -n**6/24 + n**5/3 - 5*n**4/6 + 3*n**2 - 2. Let w(j) = 0. Calculate j.
0, 2
Let f be (-24)/(-10)*135/81 - (4 + -2). Determine h, given that 0*h - 4/5 + 1/5*h**f = 0.
-2, 2
Let z = -28 + 32. Factor -16*l + 24*l**2 + 4 + 0*l + 604*l**z - 600*l**4 - 16*l**3.
4*(l - 1)**4
Factor 5290 - 230*f + 5/2*f**2.
5*(f - 46)**2/2
Let y(f) be the third derivative of -f**6/420 - f**5/35 + f**4/84 + 2*f**3/7 - 52*f**2. Factor y(t).
-2*(t - 1)*(t + 1)*(t + 6)/7
Let m(g) = g**3 - 3*g**2 - 10*g + 5. Let u be m(5). Factor 4*p**3 + 4*p**u - 38*p**4 - 37*p**4 + 67*p**4.
4*p**3*(p - 1)**2
Suppose 0*c**2 + c**2 + 7 + 52*c - 25*c - 19*c = 0. Calculate c.
-7, -1
Let n(h) = -8*h**2 - 1. Let y(i) = i**3 - 17*i**2 - 16*i - 22. Let x(z) = 6*n(z) - 3*y(z). Determine c so that x(c) = 0.
-2, 5
Let w(i) be the third derivative of -i**8/840 + 2*i**7/525 - i**6/300 + 24*i**2. Factor w(q).
-2*q**3*(q - 1)**2/5
Factor 60 - 279*n - 3*n**2 + 6*n**2 + 252*n.
3*(n - 5)*(n - 4)
Let p(u) = 7*u**5 - 9*u**4 + 2*u**3 + 6*u**2 + 6*u + 6. Let b(z) = 20*z**5 - 26*z**4 + 5*z**3 + 17*z**2 + 17*z + 17. Let l(g) = -6*b(g) + 17*p(g). Factor l(t).
-t**3*(t - 4)*(t + 1)
Find s such that -12*s**4 - 190*s**5 - 7*s**3 - 24*s + 0*s**4 + 193*s**5 - 2*s**3 + 42*s**2 = 0.
-2, 0, 1, 4
Let g(q) be the second derivative of -5*q**4/12 - 5*q**3/2 + 70*q**2 + 88*q. Let g(t) = 0. Calculate t.
-7, 4
Suppose 0 = 2*r - 3*r - 0*r. Let t(d) be the first derivative of -7/10*d**5 + r*d + 1/2*d**2 - 1/2*d**3 - 4 - 3/2*d**4. Find f, given that t(f) = 0.
-1, 0, 2/7
Let g(j) = -j**2 - 2. Let u(i) = -10*i**2 - 3*i - 20. Let m(l) = 18*g(l) - 2*u(l). Determine b so that m(b) = 0.
-2, -1
Let o(d) be the second derivative of 5/3*d**3 + 20*d**2 + 0 - 5/12*d**4 - 32*d. Determine f, given that o(f) = 0.
-2, 4
Let r(a) = -10*a**4 - 55*a**2. Let l(n) = n + 14*n**2 - n - 19*n**2 - n**4. Let y(c) = -65*l(c) + 6*r(c). Determine q, given that y(q) = 0.
-1, 0, 1
Factor -5/2*z - 1/2*z**2 + 0.
-z*(z + 5)/2
Factor -1/3*l - 1/6*l**4 + 1/2*l**2 + 0*l**3 + 0.
-l*(l - 1)**2*(l + 2)/6
Let p(c) = -4*c**2 - 35*c - 73. Let q(z) = -4*z**2 - 34*z - 70. Let b(x) = -2*p(x) + 3*q(x). Suppose b(k) = 0. Calculate k.
-4
Let j be (3 - 4) + 4 + (-2)/2. Factor n**2 + j*n + 24 - 3*n + 7*n - 4*n**2.
-3*(n - 4)*(n + 2)
Factor -3/2*m**3 - 27/2*m**2 + 51*m - 36.
-3*(m - 2)*(m - 1)*(m + 12)/2
Let m(h) be the first derivative of 0*h - 1/8*h**2 - 6 + 1/6*h**3. What is j in m(j) = 0?
0, 1/2
Let m(c) be the first derivative of -5*c**3 - 5/4*c**4 + 10*c**2 - 4 + 0*c. Suppose m(z) = 0. Calculate z.
-4, 0, 1
Factor 9/5*l**4 + 0 + 12/5*l**2 + 5*l**3 - 4/5*l.
l*(l + 1)*(l + 2)*(9*l - 2)/5
Let x(k) be the third derivative of k**7/70 + 7*k**6/20 + 12*k**5/5 - 7*k**4/4 - 49*k**3/2 + 385*k**2. Suppose x(o) = 0. What is o?
-7, -1, 1
Let d(y) be the second derivative of -y**6/6 + 5*y**5/4 - 10*y**4/3 + 10*y**3/3 + 30*y + 9. Solve d(m) = 0.
0, 1, 2
Suppose 5*j - 3*j - 30 = 0. Factor -j*o**2 - 3*o**2 + 5*o**3 + 5*o**3 - 13*o**3 - 27*o.
-3*o*(o + 3)**2
Let v(h) be the second derivative of 5/3*h**4 - 1/42*h**7 + 7/30*h**6 + 11*h - 9/10*h**5 - 4/3*h**3 + 0*h**2 + 0. Find b, given that v(b) = 0.
0, 1, 2
Suppose 7*h = 6*h + 5. Factor 8*v**4 + 10*v**h - 12*v**5 - 8*v**3 - 4 - 4*v - 4*v**2 + 8*v + 6*v.
-2*(v - 2)*(v - 1)**3*(v + 1)
Let b = -4058 - -4060. Suppose 24*q**3 + 4/7 + 146/7*q**b + 6*q = 0. What is q?
-1/3, -2/7, -1/4
Let t(n) be the third derivative of n**6/360 - 7*n**5/120 + n**4/4 + n**3/6 - 21*n**2. Let z(o) be the first derivative of t(o). Factor z(j).
(j - 6)*(j - 1)
Solve -35*v - 164*v**3 + 95*v - 32 + 78*v**3 - 24*v**2 + 82*v**3 = 0 for v.
-8, 1
Let s(w) be the first derivative of -7/2*w**4 + 6 + 16*w + 20*w**3 - 36*w**2. Find u, given that s(u) = 0.
2/7, 2
Let o be -3 + (-7)/49 + 17/((-17)/(-6)). Factor o*m + 50/7 + 2/7*m**2.
2*(m + 5)**2/7
Let o(l) = -3*l**3 - 11*l**2 - 8*l - 6. Let j(p) = -3*p**3 - 12*p**2 - 9*p - 7. Let x(b) = 6*j(b) - 7*o(b). Suppose x(q) = 0. Calculate q.
-1, -2/3, 0
Let o = 95 - 379/4. Let j(u) be the second derivative of o*u**3 + 1/8*u**4 + 0 + 0*u**2 - 5*u. Let j(h) = 0. What is h?
-1, 0
Let m be ((-36)/(-27))/(2/(-3)). Let w be m/(-7) + 61/7. Factor 2 + 3*f - 4*f + w*f + 6 + 2*f**2.
2*(f + 2)**2
Le