/2240 + w**7/1120 + w**3/2 - 2*w**2. Let i(q) be the first derivative of y(q). Factor i(m).
-3*m**3*(m - 1)/4
Let f(a) = 16*a + 496. Let u be f(-31). Let z(n) be the first derivative of -8/65*n**5 + 1/39*n**6 + u*n + 3/13*n**4 - 10 + 1/13*n**2 - 8/39*n**3. Factor z(s).
2*s*(s - 1)**4/13
Let y(x) = x**2 - x - 6 + 2*x**2 - x**2 - x**2. Let g be y(4). Find r, given that -5*r**2 - 2*r**3 - 1 - g*r**2 + 5*r**2 + 9 = 0.
-2, 1
Let b(z) = 35*z - 100. Let m be b(3). Let o(q) be the first derivative of 0*q - 2*q**2 - 8/3*q**6 + 56/5*q**m - 28/3*q**3 + 6 - 33/4*q**4. Factor o(a).
-a*(a - 2)**2*(4*a + 1)**2
Let o be 817/209 + (-48)/(-44). Factor 5/3*n**3 - 1/3*n**o + n**2 + 0*n + 1/3*n**4 + 0.
-n**2*(n - 3)*(n + 1)**2/3
Let v be -1*(-1)/(-2)*21/35*-4. What is d in -3/5*d**2 - 3/5 + v*d = 0?
1
Factor -100 - 5*q - 47*q + 5*q**2 - 43*q.
5*(q - 20)*(q + 1)
Factor 2*w**3 + 0*w - 2/3*w**4 + 0 + 20/3*w**2.
-2*w**2*(w - 5)*(w + 2)/3
Let x(s) be the first derivative of -1/20*s**4 + 10 - 7/15*s**3 - 9/5*s - 3/2*s**2. Factor x(b).
-(b + 1)*(b + 3)**2/5
Let d be ((-4)/(-3) - (-8)/12)/(-1). Let z be (d + (-4 - (-46)/8))*-12. Factor 3/2*k**4 + 0*k - 3/2*k**2 + 0 + 3/2*k**5 - 3/2*k**z.
3*k**2*(k - 1)*(k + 1)**2/2
Factor 1/3*x - 1/3*x**4 - 2/3*x**3 - 1/3 + 1/3*x**5 + 2/3*x**2.
(x - 1)**3*(x + 1)**2/3
Let p(q) = 5*q**3 + 4*q**2 - 21*q + 32. Let k(t) = 9*t**3 + 6*t**2 - 43*t + 63. Let m(l) = 4*k(l) - 7*p(l). Find c such that m(c) = 0.
-4, 1, 7
Let g(x) be the second derivative of -x**9/3024 + x**7/504 + 7*x**4/6 + 13*x. Let i(s) be the third derivative of g(s). Suppose i(k) = 0. What is k?
-1, 0, 1
Suppose 0 = 3*s - d - 40, 6*d - 62 = -4*s + 3*d. Factor -10*f**2 + 2*f**3 - 21 - 4*f**3 + 15 - s*f.
-2*(f + 1)**2*(f + 3)
Let t(m) be the second derivative of -1/10*m**3 - 1/4*m**2 + 3*m - 1/120*m**4 + 0. Factor t(i).
-(i + 1)*(i + 5)/10
Suppose -2 = -333*w + 331*w + 2*n, 3*n = 3. Factor 4/7*b**4 + 8/7*b - 4/7*b**w - 8/7*b**3 + 0.
4*b*(b - 2)*(b - 1)*(b + 1)/7
Suppose -19*n = -26*n + 35. Suppose n*m = -5*v + m + 25, 0 = m. Suppose 4/3*h**3 - 2/3*h + 0*h**2 + 0 - 2/3*h**v + 0*h**4 = 0. What is h?
-1, 0, 1
Let y(g) = 9*g**5 + 18*g**4 - 51*g**3 - 18*g**2. Let b(q) = -9*q**5 - 19*q**4 + 51*q**3 + 18*q**2. Let i(c) = -6*b(c) - 7*y(c). Find s such that i(s) = 0.
-3, -1/3, 0, 2
Let k(l) = 20*l**3 - 12*l**2 + 16*l - 16. Let h(g) = g**3 + g - 1. Let a(x) = x**2 + 5*x - 7. Let f be a(-6). Let m(o) = f*k(o) + 16*h(o). Factor m(d).
-4*d**2*(d - 3)
Factor -58*j - 390*j - 14*j**3 + 256 + 228*j**2 + 2*j**4 - 33*j**3 + 9*j**3.
2*(j - 8)**2*(j - 2)*(j - 1)
Let l = -825 + 8253/10. Let v(w) be the first derivative of 0*w**5 - 1/15*w**6 + 0*w**2 + 0*w + l*w**4 - 4/15*w**3 - 10. Factor v(c).
-2*c**2*(c - 1)**2*(c + 2)/5
Let s(k) be the second derivative of k**6/10 - 3*k**5/10 - 3*k**4/4 + 2*k**3 + 6*k**2 - 235*k. Determine v, given that s(v) = 0.
-1, 2
Let m(b) be the third derivative of 1/72*b**4 - 4*b**2 + 1/12*b**3 - 1/360*b**5 + 0 + 0*b. Suppose m(o) = 0. What is o?
-1, 3
Let p(h) be the third derivative of -h**6/420 + 23*h**5/210 + h**2 - 203*h. Find b such that p(b) = 0.
0, 23
Let d(r) = r**2 + 180*r + 1380. Let j be d(-8). Factor -4/5*k**5 + 8/5 - 56/5*k**3 - 36/5*k + 24/5*k**j + 64/5*k**2.
-4*(k - 2)*(k - 1)**4/5
Let t(j) be the first derivative of -j**5/4 - 5*j**4/2 - 85*j**3/12 - 25*j**2/4 - 15. Factor t(h).
-5*h*(h + 1)*(h + 2)*(h + 5)/4
Let m(n) = -3*n**4 - 6*n**3 - 19*n**2 - 12*n. Let o(z) = -10*z**4 - 17*z**3 - 57*z**2 - 36*z. Let u(r) = 7*m(r) - 2*o(r). Factor u(h).
-h*(h + 1)*(h + 3)*(h + 4)
Let t = -519/1148 - -20/41. Let m(o) be the first derivative of 3/14*o**2 + t*o**4 + 5 + 1/7*o**3 + 1/7*o. Let m(i) = 0. What is i?
-1
Let g = 11104 + -77698/7. Solve -4/7 - 8*f**2 - g*f = 0.
-2/7, -1/4
Suppose 5*w = x - 1 - 2, -w - 5*x = -15. Suppose 5*b + 109 - 89 = 0, 2*t - 26 = 5*b. Find v such that 1/3*v**t + w + 0*v + 0*v**2 + 1/6*v**4 = 0.
-2, 0
Let x(l) be the first derivative of -1/4*l**4 + 0*l**3 + 0*l + 5 - 1/2*l**2 + 1/20*l**5. Let y(f) be the second derivative of x(f). Solve y(n) = 0.
0, 2
Let g be 12/16 - (-11)/(-44). Factor -g - 2*q - 2*q**3 - 1/2*q**4 - 3*q**2.
-(q + 1)**4/2
Let i(j) be the first derivative of -5*j**3/6 - 10*j**2 - 30*j - 120. What is c in i(c) = 0?
-6, -2
Let k(y) be the third derivative of -9*y**6/200 - 114*y**5/25 + 31*y**4/2 - 104*y**3/5 - 195*y**2. Solve k(c) = 0 for c.
-52, 2/3
Let d be 11/264*0*(-2)/6. Factor d*w + 1/6*w**3 + 1/6*w**2 + 0.
w**2*(w + 1)/6
Let r(u) be the first derivative of 19*u**6/3 + 384*u**5/5 + 647*u**4/2 + 1652*u**3/3 + 384*u**2 + 64*u + 701. Let r(w) = 0. Calculate w.
-4, -1, -2/19
Let x(q) be the second derivative of -q**4/102 + 10*q**3/17 - 81*q**2/17 + 458*q. Factor x(o).
-2*(o - 27)*(o - 3)/17
Let a = -25 + 23. Let s be a/5 - 2/(-5) - -3. Let -1/3*j**s + 1/3*j + 1/3 - 1/3*j**2 = 0. Calculate j.
-1, 1
Suppose -102*h = -69*h - 165. Let v(i) be the second derivative of 2/15*i**6 + 0 - 4/3*i**3 + 0*i**2 - 2*i - 4/5*i**h + 5/3*i**4. Solve v(g) = 0 for g.
0, 1, 2
Suppose -2*q = 3*r - 4, 1 = 2*r + 3*q + 5. Suppose 2*k + 0*k + r*n - 6 = 0, 0 = 5*n. Factor -8*h**k + 2*h**5 - 4*h**4 - 8*h**3 + 18*h**3.
2*h**3*(h - 1)**2
Determine a, given that 0 + 9/2*a**2 + 1/2*a**4 + 0*a + 3*a**3 = 0.
-3, 0
Let m(h) = -h**2 - 3*h + 56. Suppose -13*a = 9*a - 132. Let g be m(a). Let 0 + 1/5*l**5 + 1/5*l**3 + 0*l**g + 0*l + 2/5*l**4 = 0. Calculate l.
-1, 0
Let s(r) be the third derivative of -r**9/80640 - r**8/40320 + r**7/1680 + r**6/360 - r**5/12 + 6*r**2. Let w(m) be the third derivative of s(m). Factor w(h).
-(h - 2)*(h + 2)*(3*h + 2)/4
Factor 2/9*w**4 + 0 + 0*w**2 + 4/9*w**3 + 0*w.
2*w**3*(w + 2)/9
Let i(v) be the third derivative of 0*v - 1/140*v**7 + 1/80*v**6 + 1/40*v**5 - 3*v**2 - 4 - 1/16*v**4 + 0*v**3. Determine l so that i(l) = 0.
-1, 0, 1
Let g(x) = -x**4 + x**3 + x**2 + 2*x - 1. Let h(l) = 46*l**3 + 84*l**2 + 44*l - 2. Let n(t) = -2*g(t) + h(t). What is v in n(v) = 0?
-20, -1, 0
Let z(j) be the second derivative of -j**6/40 + j**4/8 + 13*j**2/2 - 9*j. Let n(i) be the first derivative of z(i). Factor n(m).
-3*m*(m - 1)*(m + 1)
Let w(f) be the first derivative of f**4/4 + 32*f**3/3 - f**2/2 - 32*f + 107. Factor w(l).
(l - 1)*(l + 1)*(l + 32)
Suppose 5*q - 2*z + z = 25, -5*q = 2*z - 40. Let g(p) = -3*p**5 - p**4 + 2*p**3. Let v(s) = -3*s**5 + 3*s**3. Let h(y) = q*g(y) - 5*v(y). Solve h(m) = 0.
-1, 0
Let t = 17 - 11. Factor h**2 + 3*h + 2 + 9*h**2 + t*h**3 - 4 - h.
2*(h + 1)**2*(3*h - 1)
Factor 2/9*c**3 + 16/3*c**2 + 44/9 + 10*c.
2*(c + 1)**2*(c + 22)/9
Let a(n) be the second derivative of 5/6*n**4 + 0 - 5*n**2 + 3*n + 1/4*n**5 - 5/6*n**3. Solve a(k) = 0.
-2, -1, 1
Let l = 47/394 + -218117/1970. Let u = 111 + l. Factor -u*z**2 - 4/5*z + 0.
-2*z*(z + 2)/5
Let s(d) = 4*d**2 + 2*d + 2. Let r(y) = -5*y**2 - 3*y - 3. Let l(q) = -3*r(q) - 4*s(q). Let f(a) = -10*a**2 + 2*a + 14. Let k(h) = -f(h) + 6*l(h). Factor k(i).
4*(i - 1)*(i + 2)
Let s(j) be the first derivative of -11 + 1/3*j**3 - 1/4*j**4 + 0*j**2 + 0*j. Solve s(v) = 0 for v.
0, 1
Let z(g) be the first derivative of 5*g**2 - 13 + 5/4*g**4 - 5*g**3 + 0*g. Factor z(k).
5*k*(k - 2)*(k - 1)
Let o = -1206/5 - -242. Let t be (-35)/50*(-144)/42. Factor -2/5*g**5 - t*g**4 - 18/5*g - o - 32/5*g**2 - 28/5*g**3.
-2*(g + 1)**4*(g + 2)/5
Let 3/2*y**3 + 15/2*y + 3 + 6*y**2 = 0. Calculate y.
-2, -1
Let r be 4 + -1 + (-376)/156. Let p = 1/13 + r. Factor 7/3*b**5 - p*b**3 - 5/3*b**4 + 0*b**2 + 0 + 0*b.
b**3*(b - 1)*(7*b + 2)/3
Let r(b) be the second derivative of b**6/150 - b**5/100 - 7*b**4/60 + 13*b**3/30 - 3*b**2/5 - 4*b - 33. Factor r(p).
(p - 2)*(p - 1)**2*(p + 3)/5
Let k(n) be the second derivative of 3*n**5/20 - 2*n**3 - 136*n. Factor k(o).
3*o*(o - 2)*(o + 2)
Suppose 2*v - 3*y + 16 = 5, -3*v - 3*y - 9 = 0. Let o be (4/(-5))/(v/10). Factor 1 + 1/2*b - 1/2*b**o.
-(b - 2)*(b + 1)/2
Factor -3 - 5*z**4 - 5*z**3 + 12 + 45*z**2 - 55*z + 11.
-5*(z - 1)**3*(z + 4)
Let y(a) be the third derivative of a**6/120 + 11*a**5/60 - a**4/2 + 40*a**2 + 3. Suppose y(r) = 0. Calculate r.
-12, 0, 1
Determine p, given that -51*p**3 + 2*p + 90*p**3 - 8 + 2*p**2 + 42*p - 50*p**3 = 0.
-2, 2/11, 2
Suppose 15*q - 4*l - 16 = 19*q, 20 = -q - 5*l. Find i such that q*i + 0 + 1/9*i**2 = 0.
0
Let p(f) = 8*f - 27. Let c be p(4). Let v(u)