7*s**4 - 16*s**3 = 0. Calculate s.
5/6, 1
Let m(n) be the first derivative of n**4/7 + 32*n**3/21 + 2*n**2 + 66. Factor m(c).
4*c*(c + 1)*(c + 7)/7
Suppose 88 = 49*u - 10. Let x(t) be the third derivative of 0 - 1/120*t**6 + 0*t**3 + 0*t**5 + u*t**2 + 0*t + 0*t**4. Factor x(b).
-b**3
Let h be 55/5*(0 + 1). Let n = h + -6. Find s, given that 4*s**2 + n - 16*s**2 + 6*s**3 - 6*s + 3*s**4 + 4 = 0.
-3, -1, 1
Suppose -6*c**2 - 74/3*c**3 + 64/3*c + 8 + 10/3*c**5 - 2*c**4 = 0. Calculate c.
-2, -1, -2/5, 1, 3
Let p(o) be the second derivative of 12*o**2 + 13/5*o**5 + 64/3*o**3 + 23*o + 0 - 7/15*o**6 + 85/6*o**4. Determine z, given that p(z) = 0.
-1, -2/7, 6
Suppose 12/5 - 6/5*d**3 + 2/15*d**4 - 26/5*d + 58/15*d**2 = 0. What is d?
1, 2, 3
Let a = -27 + 36. Solve -17*d**2 + 7*d**2 + a*d**2 = 0 for d.
0
Let i = -2/4953 + 3308/14859. Factor 1/3*l + i + 1/9*l**2.
(l + 1)*(l + 2)/9
Let u(a) be the first derivative of 5*a**2 + 1. Let d be u(1). Factor -2 + 5*z**4 + d*z**2 - 14*z**2 + 7 - 6*z**2.
5*(z - 1)**2*(z + 1)**2
Let t(r) be the first derivative of -r**5/5 + 5*r**4/4 - 7*r**3/3 + 3*r**2/2 + 163. Let t(k) = 0. Calculate k.
0, 1, 3
Let h(a) be the second derivative of a**7/63 - a**6/18 + a**5/60 + 5*a**4/36 - a**3/6 + 86*a. Let h(j) = 0. What is j?
-1, 0, 1, 3/2
Let z(p) be the first derivative of -8/3*p**3 + 0*p + 37 + p**2 - 3/10*p**5 + 13/8*p**4. Factor z(u).
-u*(u - 2)**2*(3*u - 1)/2
Let 2 + 6*x + 26*x**2 - 15*x**3 + 17*x**3 - 20*x**2 = 0. Calculate x.
-1
Let p(k) be the first derivative of 4*k**3/3 + 128*k**2 - 528*k + 124. Factor p(i).
4*(i - 2)*(i + 66)
Let q = 566/5 + -548/5. Find m, given that 3/5*m**3 - 24/5 - q*m**2 + 36/5*m = 0.
2
Let h be 15 + -10 + 0 + 0. Let f(z) be the first derivative of 4/5*z - 1/2*z**4 + 0*z**3 + z**2 - 5 - 4/25*z**h. Find d, given that f(d) = 0.
-2, -1, -1/2, 1
Let j(v) be the second derivative of v**6/255 - v**5/17 - v**4/34 + 28*v**3/51 + 20*v**2/17 - 4*v - 35. What is i in j(i) = 0?
-1, 2, 10
Let n = 914/1287 - 38/143. Solve 14/9*q**2 + 0 - 10/9*q**3 - n*q = 0 for q.
0, 2/5, 1
Suppose 43*j = 38*j + c + 15, j = 4*c + 22. Let 12/5*f**j - 24/5 + 28/5*f = 0. What is f?
-3, 2/3
Let c(q) be the second derivative of q**8/588 - 2*q**7/105 + q**6/35 - 11*q**2/2 + 32*q. Let m(u) be the first derivative of c(u). Solve m(a) = 0.
0, 1, 6
Let l(y) be the first derivative of 0*y + 1/4*y**3 - 3/4*y**2 - 3. Factor l(m).
3*m*(m - 2)/4
Let g(z) = -12*z + 26. Let l be g(2). Suppose 16 = 6*j + l*j. Find m such that 4/15*m - 2/15*m**j - 2/15 = 0.
1
Let y(g) be the first derivative of 25*g**6/6 + g**5 - 65*g**4/4 - 15*g**3 - 171. Factor y(v).
5*v**2*(v + 1)**2*(5*v - 9)
Let u = 1729/18 - 96. Let n(b) be the first derivative of -2/15*b**5 + 0*b**2 - 2 + 0*b - 1/12*b**4 - u*b**6 + 0*b**3. Factor n(w).
-w**3*(w + 1)**2/3
Suppose 2*z - 598 = -s - 4*s, 2*z = 3*s - 362. Factor 17*w**2 + 11 - 56 - 97*w**2 + s*w.
-5*(4*w - 3)**2
Let n(u) be the third derivative of 2*u**7/1785 + 13*u**6/1020 - 7*u**5/510 + 2*u**2 + 8*u. Determine r, given that n(r) = 0.
-7, 0, 1/2
Let d(o) be the second derivative of -o**5/40 + 3*o**4/4 - 9*o**3 + 54*o**2 + 210*o. Factor d(v).
-(v - 6)**3/2
Let k(r) be the first derivative of r**4 + 32*r**3/3 - 22*r**2 - 72*r - 79. Factor k(o).
4*(o - 2)*(o + 1)*(o + 9)
Let w = -183533/5 + 36707. Suppose 0*s - 6 = -3*s. Solve 6/5 + w*u**s + 8/5*u = 0.
-3, -1
Factor 2*l + 8 - 6*l**2 + 1/2*l**3 + 1/2*l**4.
(l - 2)**2*(l + 1)*(l + 4)/2
Let c(u) be the third derivative of u**5/120 - 5*u**4/24 - 13*u**3/4 + 129*u**2. Factor c(s).
(s - 13)*(s + 3)/2
Let i(s) = 20*s**2 + 148*s. Let l(y) = -13*y**2 - 99*y. Let h(o) = 5*i(o) + 8*l(o). Factor h(b).
-4*b*(b + 13)
Let b be (-15)/3 - 3595/(-100). Let o = b - 111/4. Suppose -o + 4/5*s**3 - 8/5*s**2 - 28/5*s = 0. What is s?
-1, 4
Factor 0 + 1/8*a**5 + 0*a - 5/8*a**3 + 3/4*a**2 - 1/4*a**4.
a**2*(a - 3)*(a - 1)*(a + 2)/8
Let m(q) be the third derivative of -q**6/420 + 41*q**5/70 - 1681*q**4/28 + 68921*q**3/21 - 3*q**2 - 13. Factor m(t).
-2*(t - 41)**3/7
Find k, given that -554/7*k + 936/7*k**2 - 372/7 - 10/7*k**3 = 0.
-2/5, 1, 93
Let j be ((-18)/135)/((-8)/(-5))*2*-3. Suppose -5*f = -f - 8. Let 2*x**3 + 0*x**f - 3/2*x + j = 0. Calculate x.
-1, 1/2
Suppose 2*b = 7*b + 10, 90 = 4*o - 5*b. Let f be (-10)/o*1/(-6)*4. Factor 0 - f*a**3 + 0*a + 1/3*a**2.
-a**2*(a - 1)/3
Let g(a) be the first derivative of a**5/5 + 21*a**4/2 - 44*a**3 + 67*a**2 - 45*a - 200. Factor g(p).
(p - 1)**3*(p + 45)
Let w be (-26)/(-624)*-12*2/(-5). Find z, given that 6/5 + w*z**2 + z = 0.
-3, -2
Suppose 4*t - 55 = -4*j - 23, -4*j = -5*t + 4. Determine r, given that -4/3*r**2 + 0 - 4/3*r**5 + 4/3*r**3 + 0*r + 4/3*r**t = 0.
-1, 0, 1
Let 4/11*l**3 - 36/11*l + 0 + 18/11*l**2 - 2/11*l**4 = 0. What is l?
-3, 0, 2, 3
Let n be ((-27)/2)/((-3)/(-6)). Let r = n + 31. Factor 12*x + 24*x + 8 + r*x + 50*x**2.
2*(5*x + 2)**2
Let s = 51 + -26. Factor -13 - 8 - 4*c**2 + s - c**3 + c.
-(c - 1)*(c + 1)*(c + 4)
Let p be (-7)/((-84)/9)*4. Let o(f) = -3*f + f**2 + 3 - 11*f**2 + f**2 + 4*f. Let j(s) = -10*s**2 + 4. Let k(v) = p*j(v) - 4*o(v). Factor k(z).
2*z*(3*z - 2)
Let a = -251 + -3. Let y = a - -256. Factor 7/2*j**y + 0 + 5/2*j**3 + j.
j*(j + 1)*(5*j + 2)/2
Suppose 234*m - 934 = 6*m - 250. Factor 6/7*z**2 - 3*z + 9/7*z**m + 6/7.
3*(z - 1)*(z + 2)*(3*z - 1)/7
Let y(m) be the third derivative of m**8/840 + 3*m**7/175 + 8*m**6/75 + 28*m**5/75 + 4*m**4/5 + 16*m**3/15 + 7*m**2. Find p such that y(p) = 0.
-2, -1
Let h(b) be the second derivative of b**5/110 + 3*b**4/22 - 108*b**2/11 + 31*b. Factor h(l).
2*(l - 3)*(l + 6)**2/11
Suppose -9*d + 14*d - 10 = 0. Factor 3*o**2 + 5*o**3 - 6*o**3 - d*o**2.
-o**2*(o - 1)
Let h = -1 - 11. Let t be (-124)/h + (-2)/(-3). Factor 6*b + 3*b**2 - 6 + 2*b - t*b.
3*(b - 2)*(b + 1)
Factor -26/7*o**4 + 30/7*o**3 - 2*o**2 + 2/7*o + 0 + 8/7*o**5.
2*o*(o - 1)**3*(4*o - 1)/7
Let h = 104924/4265 + -1/853. Determine n so that 21/5*n - 79/5*n**2 - 63/5*n**4 + h*n**3 - 2/5 = 0.
2/7, 1/3, 1
Let y(n) = 3*n**3 - 25*n**2 - 13*n + 171. Let j be y(8). Factor -9/7*x**j + 0*x + 3/7*x**2 + 0 - 12/7*x**4.
-3*x**2*(x + 1)*(4*x - 1)/7
Suppose 0 = 5*x, 5*b = 5*x - 1 - 49. Let m be 2/(-4*1/b). Determine t, given that -6*t - 1 + 1 + 2 - 3*t**2 - m = 0.
-1
Suppose -5*a - 4*s = 10, 0*s + s - 1 = -3*a. Let z = 5/29 - -130/87. Factor u**3 + 1/3 - z*u**a + 1/3*u.
(u - 1)**2*(3*u + 1)/3
Let w = 10571/23724 - 3/2636. Let -32/9*t**3 + 16/9*t**5 + 8/9*t**2 - w*t**4 + 16/9*t - 4/9 = 0. Calculate t.
-1, 1/4, 1
Let d = 583/300 + 23/75. Determine m so that -3/2*m**2 + 3/2 - 9/4*m + d*m**3 = 0.
-1, 2/3, 1
Suppose -9*z + 14*z = 20. Factor -29*h**3 - 14*h + 40*h**2 - 6*h + 3*h**3 + h**3 + 5*h**z.
5*h*(h - 2)**2*(h - 1)
Let 1/5*b**3 + 2703/5*b + 21*b**2 - 2809/5 = 0. Calculate b.
-53, 1
Let f(c) be the second derivative of 35/12*c**4 + 9/4*c**5 - 11*c + 5/42*c**7 + 0*c**2 + 0 + 5/3*c**3 + 5/6*c**6. Solve f(s) = 0.
-2, -1, 0
Let v(a) be the second derivative of a**4/9 - 12*a**3 + 486*a**2 - 4*a - 16. Determine h, given that v(h) = 0.
27
Let k(o) = o**3 - 5*o**2 + 5*o - 1. Let x be k(4). Let y be x/2 - (-6)/4. Determine s, given that -2*s**y + 0*s**3 + 14*s**2 - 18*s**2 - 5*s + 3*s = 0.
-1, 0
Suppose 294*l = 305*l. What is b in 4/3*b + l - 2/3*b**2 = 0?
0, 2
Let r(x) be the second derivative of 25*x**4/12 + 265*x**3/3 + 105*x**2/2 + 312*x. Suppose r(g) = 0. Calculate g.
-21, -1/5
Suppose 2/5*k**5 + 2/5*k**2 + 0*k - 2/5*k**4 - 2/5*k**3 + 0 = 0. Calculate k.
-1, 0, 1
Factor 16928/9 - 368/9*h + 2/9*h**2.
2*(h - 92)**2/9
Factor 3/8*s**4 + 51/8*s**2 + 9/4 + 51/8*s + 21/8*s**3.
3*(s + 1)**2*(s + 2)*(s + 3)/8
Let b(m) = -m**3 + 11*m**2 - 3*m + 36. Let s be b(11). Factor -2/5*p**2 + 0 + 0*p - 4/5*p**s.
-2*p**2*(2*p + 1)/5
Let f(q) be the second derivative of -1/3*q**3 + 1/2*q**4 + 0 - 3/10*q**5 + 17*q + 0*q**2 + 1/15*q**6. Find l such that f(l) = 0.
0, 1
Let m(j) be the first derivative of 0*j - 2 + 81*j**4 - 1458/5*j**5 + 729/2*j**6 - 8*j**3 + 0*j**2. Find v such that m(v) = 0.
0, 2/9
Let o = 443/2 - 221. Let q(l) be the first derivative of 4 - o*l + 1/6*l**3 + 0*l**2. Suppose q(r) = 0. Calculate r.
-1, 1
Suppose 0 = -283*q + 46*q + 4266. Solve -q*j**2 + 2/3*j**3 + 162*j - 486 = 0 for j.
9
Let k(m) be the second derivative of m**4/3 + 14*m**3/3 - 97*m. Determine x 