2 - 55*s**3/6 + 75*s**2/2 + 2*s - 2. Factor q(g).
-(g - 5)**2*(g - 3)
Factor 0 + 20/7*a**3 + 4/7*a**4 + 12/7*a**2 - 36/7*a.
4*a*(a - 1)*(a + 3)**2/7
Let p be (-4 - -8) + 3 + -7. Let f(d) be the first derivative of p*d**2 + 2/5*d - 2/15*d**3 - 13. Factor f(r).
-2*(r - 1)*(r + 1)/5
Factor x**2 + 8*x + 14 - 2 + 2*x**2 - 2*x**2 - 5*x**2.
-4*(x - 3)*(x + 1)
Let q(a) be the second derivative of a**4/4 + 13*a**3 + 207*a**2/2 + 778*a. Solve q(w) = 0 for w.
-23, -3
Let f = -196 - -200. Let g be ((-2)/f - -2)*(-8)/(-15). Determine p so that g*p**2 - 1/5*p**3 + 0 - 4/5*p = 0.
0, 2
Let b(l) = l**3 - l**2 + l + 1. Let d = 496 - 494. Let u(o) = 0 - 6*o**3 - 2 - 12*o**4 + 2*o**2 - o - o. Let v(j) = d*b(j) + u(j). Solve v(f) = 0 for f.
-1/3, 0
Let s(q) be the third derivative of q**8/784 + 27*q**7/490 + 69*q**6/140 - 293*q**5/70 + 645*q**4/56 - 225*q**3/14 + 261*q**2. Let s(i) = 0. What is i?
-15, 1
Let m(o) = -9*o + 8. Let d be m(3). Let s = d - -21. Factor -7*i + 2*i + s*i + 3*i**2.
3*i*(i - 1)
Let k(p) be the second derivative of 4/5*p**3 + 0 - 24*p - 1/15*p**4 - 16/5*p**2. Factor k(j).
-4*(j - 4)*(j - 2)/5
Let j(s) be the second derivative of -4/5*s**2 + 13*s - 3/10*s**4 - 1/150*s**6 + 0 - 7/100*s**5 - 2/3*s**3. Factor j(u).
-(u + 1)*(u + 2)**3/5
Let o(p) be the first derivative of 2*p**3/21 - 33*p**2/7 - 20*p - 366. Let o(k) = 0. Calculate k.
-2, 35
Let i = -65 - -67. Factor 6*b + 18*b**i + 2*b**3 - 10*b**2 + 0*b**2.
2*b*(b + 1)*(b + 3)
Let o(b) = 6 - 4 + 3*b - 4*b + 0. Let u be o(-4). Factor -2*i**2 - 2*i**3 - 6*i - 8 + u - 4*i**2.
-2*(i + 1)**3
Let p(v) be the first derivative of -28 - 7/8*v**2 + 0*v + 1/12*v**3. Suppose p(a) = 0. What is a?
0, 7
Let a(v) be the second derivative of -v**7/3780 - v**6/108 - 5*v**5/36 - v**4/4 + v. Let d(u) be the third derivative of a(u). Factor d(n).
-2*(n + 5)**2/3
Suppose 28*m - 39*m + m**2 - m = 0. What is m?
0, 12
Let f(h) be the second derivative of -h**4/132 - h**3/33 + 15*h**2/22 - 900*h. Determine z so that f(z) = 0.
-5, 3
Let y(s) be the third derivative of -s**7/1260 - s**6/270 - s**5/180 + s**3/2 - 18*s**2. Let b(a) be the first derivative of y(a). Factor b(v).
-2*v*(v + 1)**2/3
Let s(x) = -x - 15. Let g be s(-18). Let f be ((-4)/g)/(12/(-18)). Determine d so that 0*d + 1/2*d**5 + 3/2*d**4 - 7/2*d**f + 2 - 1/2*d**3 = 0.
-2, -1, 1
Let s(x) be the second derivative of -x**6/270 + 2*x**5/45 - 2*x**4/9 - 13*x**3/6 + 7*x. Let a(f) be the second derivative of s(f). Factor a(m).
-4*(m - 2)**2/3
Let x be 1*(-21 - (18 - 39)). Let 0 + x*q - 1/5*q**4 - 2/5*q**3 + 0*q**2 = 0. Calculate q.
-2, 0
Let c = 2144 + -2144. Let u(h) be the second derivative of -1/30*h**6 + 0*h**3 + 0 + 0*h**2 - 8*h + c*h**5 + 1/42*h**7 + 0*h**4. Factor u(f).
f**4*(f - 1)
Factor -2/3*h**2 - 124/3*h - 122/3.
-2*(h + 1)*(h + 61)/3
Let z(b) be the first derivative of 0*b - 5/2*b**2 + 19 + 5/3*b**3. Determine m so that z(m) = 0.
0, 1
Let y = 53 - 53. Let -2*s**2 - s**2 + y*s**2 + 3*s**3 = 0. What is s?
0, 1
Let m(l) be the first derivative of -8*l**3/3 + 37*l**2 - 80*l - 179. Factor m(k).
-2*(k - 8)*(4*k - 5)
Let k be (-34)/(-9) - (-16)/72. Let d(l) be the first derivative of -20*l + 6 - 15*l**3 + 32*l + 18*l**2 + 1 + 3*l**k. Solve d(a) = 0.
-1/4, 2
Let n(f) = -f - 10. Let v be n(-13). Suppose v*x = x. Determine w, given that x*w + 8*w**2 + 6*w - 6*w**2 = 0.
-3, 0
Let x(r) be the first derivative of -5*r**7/126 - r**6/45 + 9*r + 5. Let l(n) be the first derivative of x(n). Let l(o) = 0. Calculate o.
-2/5, 0
Let x(g) = g**3 + 3*g**2 - 2*g. Let h be x(1). Factor 3 + 700*q + 5 - 692*q - 2*q**2 - h*q**3.
-2*(q - 2)*(q + 1)*(q + 2)
Let w be 3681/21 - (-4)/4. Let q = w - 176. Factor -q*c + 0 + 4/7*c**2 - 2/7*c**3.
-2*c*(c - 1)**2/7
Let i(u) = 3*u**2 - 10*u - 4. Let m(v) = -11*v**2 + 21*v + 9. Let q(f) = f**2. Let g(k) = -m(k) - 5*q(k). Let w(r) = -4*g(r) + 9*i(r). Factor w(j).
3*j*(j - 2)
Suppose 6*w = 2*w + 16. Suppose -15*b - w = -17*b. Factor 0*f**b + 5*f**2 + 16 - 5*f**2 + f**2 - 8*f.
(f - 4)**2
Let p = -7 - -10. Suppose -3*l - d = -7, -3*l + 4*d + 35 = p. Factor 0 + 1/3*b**5 - 1/3*b**2 - b**3 + 1/3*b**l + 2/3*b.
b*(b - 1)**2*(b + 1)*(b + 2)/3
Suppose 3*x + 0 - 1/2*x**4 - 1/2*x**5 + 13/2*x**2 + 7/2*x**3 = 0. Calculate x.
-2, -1, 0, 3
Let l(g) be the second derivative of g**5/20 + g**4/3 - 5*g**3/2 - 9*g**2 + 69*g. Suppose l(v) = 0. Calculate v.
-6, -1, 3
Suppose 0 + 4/15*w - 2/15*w**4 + 2/15*w**2 - 4/15*w**3 = 0. Calculate w.
-2, -1, 0, 1
Let g(w) be the first derivative of -w**4/4 + w**3/3 - 206. Factor g(x).
-x**2*(x - 1)
Let b be 1*(230/(-30) - -8). Let y(a) be the second derivative of -3/10*a**6 - b*a**4 + 0*a**2 - 2*a + 21/20*a**5 - 2/3*a**3 + 0. Factor y(g).
-g*(g - 2)*(3*g - 2)*(3*g + 1)
Let s(a) be the third derivative of 0 - a**3 + 4*a**2 - 7/24*a**4 + 0*a - 1/60*a**5. Find q, given that s(q) = 0.
-6, -1
Let a(x) be the first derivative of -1/100*x**5 + 0*x**4 + 0*x**2 + 8 + 0*x**3 + 3*x. Let w(c) be the first derivative of a(c). Factor w(v).
-v**3/5
Let n(s) be the second derivative of s**5/140 + s**4/12 - 18*s**2/7 + 13*s - 9. Factor n(x).
(x - 2)*(x + 3)*(x + 6)/7
Let l(a) = 8*a**3 + 12*a**2 - 47*a - 117. Let t(i) = 15*i**3 + 25*i**2 - 95*i - 235. Let z(h) = 5*l(h) - 3*t(h). Determine g, given that z(g) = 0.
-4, -2, 3
Let c be (-45)/(-25) - 10/(-50). Determine o, given that 1/6*o**c - 1/3 + 1/6*o = 0.
-2, 1
Let l(n) be the first derivative of -3*n**5/35 - 3*n**4/28 + 12*n**3/7 - 6*n**2/7 - 48*n/7 + 107. What is r in l(r) = 0?
-4, -1, 2
Let z(p) be the second derivative of -7*p + 1/18*p**4 + 1/18*p**3 + 0 - 1/45*p**6 + 0*p**5 + 0*p**2 - 1/126*p**7. Let z(s) = 0. What is s?
-1, 0, 1
Let s(g) be the first derivative of -5*g**6/4 - 149*g**5/20 - 119*g**4/16 - 5*g**3/6 + g**2 + 194. Determine b, given that s(b) = 0.
-4, -2/3, -1/2, 0, 1/5
Suppose 0 = -8*o + 4*c - 8, -2*o = -0*o - 4*c + 8. Let j(r) be the second derivative of 11*r + 1/24*r**4 + o - 1/6*r**3 + 1/4*r**2. What is p in j(p) = 0?
1
Suppose -205*x = -195*x. Let h(y) be the third derivative of x*y + 0 - 1/420*y**7 + 1/48*y**6 - 6*y**2 - 1/15*y**5 + 0*y**3 + 1/12*y**4. Factor h(l).
-l*(l - 2)**2*(l - 1)/2
Let l(v) be the first derivative of 2*v**3/15 - 54*v**2/5 + 1458*v/5 - 31. Solve l(h) = 0.
27
Let o be (-4)/(16/(-20)) - -2. Factor 15*f - 2*f**2 + o*f**2 + 3 - 16 - 7.
5*(f - 1)*(f + 4)
Let x be -31 + (-168)/(-14) + 21. Determine c, given that 20/7*c**x - 4/7*c**3 + 24/7*c + 0 = 0.
-1, 0, 6
Suppose -380*z = -372*z - 16. Factor 2/5*n**3 + 0*n**z - 2/5*n + 0.
2*n*(n - 1)*(n + 1)/5
Let a(m) be the second derivative of m**7/42 - 3*m**5/5 - 4*m**4/3 + 54*m - 2. Factor a(r).
r**2*(r - 4)*(r + 2)**2
Let q(a) = 4*a**2 + 24*a - 28. Let t(v) = 10*v**2 + 70*v - 84. Let j(w) = -8*q(w) + 3*t(w). Find h, given that j(h) = 0.
2, 7
Let v = 169 + -151. Let z(h) = h**3 - 18*h**2 + h - 12. Let w be z(v). Factor -w*o**3 + 0 + 3/2*o - 9/2*o**2.
-3*o*(o + 1)*(4*o - 1)/2
Suppose 3*p + 18 = 33. Let k(h) be the third derivative of 0*h + 1/75*h**6 + 0 + 1/15*h**3 - h**2 + 1/10*h**4 + 3/50*h**p. Find s, given that k(s) = 0.
-1, -1/4
Suppose -19*h - 12*h = -7*h. Suppose h = -0*s - s - 9*s. Factor 2/5*g**4 - 2/5*g**2 + 0*g + 0 + s*g**3.
2*g**2*(g - 1)*(g + 1)/5
Let n = -31 - -33. Let a(w) = w**3 + 11*w**2 + 9*w - 7. Let l be a(-10). Factor l*t**n - 3*t + 2 - 3*t**3 - 5*t + 4*t**3 + 3*t - t**4.
-(t - 1)**3*(t + 2)
Solve 0 - 2/9*n**3 - 14/3*n**2 + 0*n = 0 for n.
-21, 0
Let w(u) be the second derivative of 1/3*u**3 + 0*u**2 + 1/6*u**4 - 1/15*u**6 + 0 + 3*u - 1/10*u**5. Factor w(x).
-2*x*(x - 1)*(x + 1)**2
Let t(w) be the third derivative of 7/270*w**5 - 1/270*w**6 - 13*w**2 + 0*w + 2/27*w**3 - 7/108*w**4 + 0. Solve t(h) = 0.
1/2, 1, 2
Factor 1/2*s**3 - 4*s - 6 + 1/2*s**2.
(s - 3)*(s + 2)**2/2
Let v(q) be the second derivative of 4/35*q**6 + 5 - 1/70*q**5 + 0*q**3 - 1/42*q**4 + 0*q**2 + 2*q. Factor v(c).
2*c**2*(3*c - 1)*(4*c + 1)/7
Suppose -1/5*b**2 + 22/5 + 21/5*b = 0. What is b?
-1, 22
Suppose -5*u - 35 - 45 = 0. Let b = u - -20. Let 0 + 18*h - 5*h**b + 12*h**3 - 6*h + 2*h**4 - 3 - 18*h**2 = 0. What is h?
1
Let u(j) = j**2 + j - 1. Let i(t) = -8*t**2 - 8*t + 6. Let p = 0 + 1. Let c(m) = p*i(m) + 10*u(m). Determine f, given that c(f) = 0.
-2, 1
Let t = 31110/7 + -4444. Determine b so that 0 - t*b**2 + 2/7*b**3