s y?
-7, 1
Let s(v) = 13*v**3 - 31*v**2 - 20*v + 140. Let l(q) = 15*q**3 - 30*q**2 - 20*q + 140. Let d(i) = 4*l(i) - 5*s(i). Factor d(g).
-5*(g - 7)*(g - 2)*(g + 2)
Let n(a) = 3*a**3 + a**2 - a + 1. Let g(v) = 2*v**3 + 68*v**2 - 119*v + 31. Let d(b) = g(b) - 3*n(b). Solve d(f) = 0.
2/7, 2, 7
Let x(z) be the third derivative of z**7/210 - z**6/45 + 7*z**5/180 - z**4/36 + 91*z**2. Factor x(j).
j*(j - 1)**2*(3*j - 2)/3
Suppose n - 4*a + 25 = 9, -a = -5*n - 23. Let u be ((-20)/(-16))/((-1)/n). Factor -9*q**5 + 8*q**u - 5*q**3 + 6*q**3.
-q**3*(q - 1)*(q + 1)
Let h = 10 + 0. Let j(d) = 15*d**4 + 10*d**3 + 25*d**2 - 10. Let q(s) = s**4 - s**3 + s**2 - 1. Let n(f) = h*q(f) - j(f). Factor n(a).
-5*a**2*(a + 1)*(a + 3)
Let n = -59 + 52. Let i be ((-16)/n - -2) + -4. Find r such that 0 - i*r**3 + 2/7*r - 2/7*r**2 + 2/7*r**4 = 0.
-1, 0, 1
Find g such that -2*g**4 + 6*g - 3*g**4 + 2*g**4 - 3*g**3 + 3 - 3*g**3 = 0.
-1, 1
Let c(t) be the first derivative of -t**3/4 - 21*t**2 + 87*t - 778. Factor c(d).
-3*(d - 2)*(d + 58)/4
Let i = 1420/4269 + 1/1423. Let -5/3*m - i*m**3 + 4/3*m**2 + 2/3 = 0. What is m?
1, 2
Let c(m) = m**4 + 2*m**3 - 5*m - 4. Let z(l) = -2*l**4 - 4*l**3 + l**2 + 11*l + 8. Let h(d) = 5*c(d) + 3*z(d). Factor h(k).
-(k - 2)*(k + 1)**2*(k + 2)
Let z be 58 + -56 - (-2)/2. Let k(i) be the second derivative of 8*i + 1/20*i**4 - 1/5*i**2 - 1/150*i**6 + 0 + 1/30*i**z - 1/100*i**5. Solve k(q) = 0.
-2, -1, 1
Let b(g) be the first derivative of -1/27*g**3 + 1/9*g**2 - 1/6*g**4 - 4/135*g**6 - 4*g - 1 - 11/90*g**5. Let a(z) be the first derivative of b(z). Factor a(m).
-2*(m + 1)**3*(4*m - 1)/9
Let d(u) be the second derivative of -u**7/14 - 9*u**6/10 - 12*u**5/5 + 6*u**4 + 40*u**3 + 72*u**2 + 35*u. Find k such that d(k) = 0.
-6, -2, -1, 2
Let o(x) be the first derivative of x**5/5 + x**4/4 - 2*x**3 + 239. Determine f, given that o(f) = 0.
-3, 0, 2
Let o(n) be the third derivative of -1/120*n**6 - 1/30*n**5 + 0*n + 14*n**2 + 0 + 1/6*n**4 + 4/3*n**3. Factor o(g).
-(g - 2)*(g + 2)**2
Let w = 15 - 8. Suppose 0 = w*t - 12*t. Suppose 2*h**4 + 0*h**4 - 2 - 12*h**2 + 8*h + 8*h**3 - 4*h**4 + t*h**4 = 0. Calculate h.
1
Let w be 6 + -3*(-32)/(-18). Let j(k) be the first derivative of 2*k - w*k**3 + k**2 + 1 - 1/2*k**4. Solve j(m) = 0.
-1, 1
Suppose -4*y = 7 + 165. Let l be y/(-21) - 6*2/36. Determine u so that 3/7*u + 18/7*u**3 + l*u**2 + 0 + 3/7*u**5 + 12/7*u**4 = 0.
-1, 0
Let g(l) be the first derivative of l**4/4 - 2*l**3/3 - 7*l**2/2 - 2*l - 3. Let d be g(5). What is x in 16*x + 18*x**2 - 20 + 24 - d*x = 0?
2/9, 1
Let d = -2023/24 + 254/3. Let w(v) be the first derivative of -d*v**4 - 1/4*v**3 + 0*v - 3/20*v**5 + 2 + 0*v**2. Let w(r) = 0. Calculate r.
-1, 0
Let -150 + 1020*w**3 + 35*w**5 + 145*w + 20*w**2 + 340*w**4 + 506*w**2 + 484*w**2 = 0. Calculate w.
-5, -3, -1, 2/7
Let c(g) be the first derivative of 2/9*g + 29 - 28/27*g**3 - 1/18*g**2. Determine m, given that c(m) = 0.
-2/7, 1/4
Let l be (-10 + (-684)/(-60))*5. Let z(r) be the third derivative of -1/150*r**5 + 1/60*r**4 + 0 - l*r**2 + 0*r + 0*r**3. Factor z(u).
-2*u*(u - 1)/5
Let b(v) be the third derivative of v**6/120 - v**5/20 - 5*v**2 + 2. Factor b(z).
z**2*(z - 3)
Suppose u + 2*d = 8, -5*u = 4*d - 16 - 24. Suppose 4*s - u*s = 0. Determine v, given that 1/3*v**2 - 5/3*v**4 + s + 1/3*v**3 + 0*v + v**5 = 0.
-1/3, 0, 1
Let h = -537 - -537. Let b(v) be the second derivative of 1/15*v**6 + 0*v**2 + 0 + h*v**5 - 1/21*v**7 + 0*v**3 - 9*v + 0*v**4. Solve b(n) = 0.
0, 1
Let u be (9/(-12))/((-99)/176). Let n(z) be the first derivative of 2/3*z**2 + u*z + 1/9*z**3 + 1. Find g such that n(g) = 0.
-2
Let a(o) be the first derivative of o**5/5 - 5*o**4/4 + 3*o**3 - 7*o**2/2 + 2*o - 254. Suppose a(x) = 0. Calculate x.
1, 2
Let x(y) be the second derivative of -2*y**7/21 - 2*y**6/5 - 2*y**5/5 + 2*y**4/3 + 2*y**3 + 2*y**2 + y - 192. Let x(l) = 0. Calculate l.
-1, 1
Suppose -3*k + 1 = -h, 9 + 0 = 4*h + k. Let w(c) = -c**3 - 9*c**2 + 9*c - 9. Let p be w(-10). Suppose -p + 7 + 3*v + 0*v + v**h - 4*v**2 = 0. What is v?
-1, 2
Suppose -10/3*d**3 + 0*d + 25/6*d**4 + 2/3*d**2 + 0 = 0. Calculate d.
0, 2/5
Let n(a) = 4*a**3 + 6*a**2 + 2. Suppose -3*v - 99 = -14*v. Let l(x) = -16*x**3 - 23*x**2 - 9. Let c(j) = v*n(j) + 2*l(j). Factor c(d).
4*d**2*(d + 2)
Suppose -16 = -5*u - 111. Let x = 21 + u. Determine d, given that -12*d + 20*d**2 - 6*d**3 - 36 + 2*d**2 - x*d**2 + 2*d**3 = 0.
-1, 3
Let a = 1484 + -1482. Factor 98/3*y**3 + 28/3*y**4 + 0*y**a + 0 + 2/3*y**5 + 0*y.
2*y**3*(y + 7)**2/3
Factor -21*k**2 - 71734*k**3 - 4*k**2 - 2*k**2 - 28*k + 71735*k**3.
k*(k - 28)*(k + 1)
Let a(x) be the first derivative of 0*x + 3*x**4 - 8*x**2 + 30 - 44/3*x**3. Factor a(b).
4*b*(b - 4)*(3*b + 1)
Let p(i) = -4*i**5 - 32*i**4 - 12*i**3 + 24*i**2 - 16*i + 8. Let d(h) = h**4 + 2*h**3 + 2*h - 1. Let x(f) = 8*d(f) + p(f). Find l, given that x(l) = 0.
-6, -1, 0, 1
Let k be (13/(195/(-54)))/((-3)/(-15)). Let l = k - -23. What is h in 6*h**3 - 10/3*h**2 + 10/3*h**4 - 14/3*h**l + 0 - 4/3*h = 0?
-1, -2/7, 0, 1
Let b = 806/63 - 110/9. Let a = -25638/11 - -179510/77. Factor -b*s**4 + 8/7*s**3 + 8/7*s**2 - a*s**5 - 4/7 - 4/7*s.
-4*(s - 1)**2*(s + 1)**3/7
Let q(l) be the first derivative of l**5/35 + l**4/14 - l**3/7 - 4*l**2/7 - 4*l/7 + 134. What is j in q(j) = 0?
-2, -1, 2
Let z be (-1 - 91/(-70))*1/4. Let v(h) be the third derivative of 2*h**2 + 0 - 5/8*h**4 + 0*h - 1/2*h**3 - z*h**6 - 7/20*h**5. Suppose v(y) = 0. Calculate y.
-1, -1/3
Let d(k) = 16*k**2 - 98*k - 408. Let a(x) = 5*x**2 - 32*x - 136. Let g(p) = 20*a(p) - 6*d(p). Factor g(j).
4*(j - 17)*(j + 4)
Let q(l) be the third derivative of l**5/20 - 2*l**4 - 17*l**3/2 + 93*l**2. Find v, given that q(v) = 0.
-1, 17
Let 7/2*w + 21*w**3 + 4*w**4 + 57/2*w**2 - 3 = 0. What is w?
-3, -2, -1/2, 1/4
Factor -92*v + 36*v - 2*v**2 - 616 + 224.
-2*(v + 14)**2
Let w(v) be the first derivative of 2*v**5/65 - 5*v**4/26 + 14*v**3/39 - 3*v**2/13 + 60. Factor w(a).
2*a*(a - 3)*(a - 1)**2/13
Suppose 0 = -f + 2, -5*f + 190 = -0*b + 4*b. Let j be -2 - (18/b)/((-2)/10). Determine n, given that j + 2/7*n + 2/7*n**2 = 0.
-1, 0
Let m(y) = -2*y**3 - 13*y**2 + 7*y + 2. Let p be m(-7). What is i in p*i + 9*i - 4*i**2 + 4*i**4 - 11*i = 0?
-1, 0, 1
Let p(k) be the second derivative of 0 + 35/6*k**3 + 1/4*k**5 + 25/12*k**4 + 15/2*k**2 - 22*k. Factor p(d).
5*(d + 1)**2*(d + 3)
Let o(v) be the second derivative of 0*v**2 + 11*v + 0 + 1/36*v**4 + 0*v**3 + 1/60*v**5. Let o(g) = 0. Calculate g.
-1, 0
Suppose 24 = 56*h - 51*h - 2*t, 0 = 3*h - 5*t - 22. Let w(q) be the second derivative of 1/3*q**3 + 4*q + 0*q**2 + 0 + 1/20*q**5 - 1/4*q**h. Factor w(c).
c*(c - 2)*(c - 1)
Let j(o) = -o + 2*o + 2 - 1 + 0*o - o**2. Let n(i) = -2*i**3 - 7*i**2 + 13*i + 11. Let b(f) = 14*j(f) - 2*n(f). Factor b(y).
4*(y - 2)*(y + 1)**2
Let b = -13/7 + 16/7. Let l(m) = 732*m - 4392. Let s be l(6). What is j in 12/7*j**2 - b*j + s = 0?
0, 1/4
Let m = 30338 + -30335. Factor 0*w + 1/2*w**2 - 2*w**m + 0.
-w**2*(4*w - 1)/2
Let g be 39 + -32 - (-10)/(-2). Let v(z) be the second derivative of 4/5*z**g + 0 - 4/15*z**3 + 9*z + 1/30*z**4. Solve v(q) = 0.
2
Solve 3/5*q**2 - 9/5*q + 6/5 = 0.
1, 2
Let i(t) = 5*t + 48. Let x be i(-10). Let l be (8 + x)*(-6)/(-90). Solve 2/15*m**3 + 2/15 + l*m + 2/5*m**2 = 0 for m.
-1
Let b be (-35)/(-28)*22/55. Let i(r) be the second derivative of -3*r - b*r**2 + 0 + 3/20*r**5 + 1/6*r**3 + 5/12*r**4. Find h, given that i(h) = 0.
-1, 1/3
Let l(z) be the second derivative of 121*z**7/105 + 286*z**6/75 + 213*z**5/50 + 26*z**4/15 + 4*z**3/15 - 7*z + 1. Factor l(p).
2*p*(p + 1)**2*(11*p + 2)**2/5
Let h(q) be the third derivative of q**8/672 - q**7/840 - q**6/80 - q**5/240 + q**4/48 + 25*q**2 - 2. Let h(a) = 0. What is a?
-1, 0, 1/2, 2
Let d(u) be the second derivative of 0 + 1/10*u**3 - 1/30*u**4 - 25*u + 0*u**2 - 1/100*u**5. Suppose d(b) = 0. What is b?
-3, 0, 1
Suppose -b + 15 = 2*b. Suppose 6 + 4 = b*a. Solve -9*i**2 + 8*i**a + 0*i**3 + i**3 = 0 for i.
0, 1
Let x(a) be the third derivative of -a**6/30 + a**5/6 - a**4/3 + 5*a**3/6 - 9*a**2. Let b(i) be the first derivative of x(i). Solve b(q) = 0.
2/3, 1
Let d(f) = f + 2. Let h be d(0). Let t(s) = -s**3 - 3*s**2 + 3*s - 1. Let k be t(-4). Solve i - 3*i**k - i + 15*i**3 - 9*i**4 - 4*i**h =