 be u(-1). Factor -m - 3*m**2 - 5 - 4*m + f + m**2.
-(m + 3)*(2*m - 1)
Let y(q) be the first derivative of -7*q**5/30 + 8*q**4/9 - 11*q**3/9 + 2*q**2/3 + 2*q + 3. Let w(x) be the first derivative of y(x). Factor w(f).
-2*(f - 1)**2*(7*f - 2)/3
Let o = 3652936/57 + -64085. Let b = -5/19 + o. Factor 2/3*u**5 - 2/3 - b*u**2 + 4/3*u**3 + 2*u**4 - 2*u.
2*(u - 1)*(u + 1)**4/3
Let y(s) be the first derivative of 5*s**4/4 - 5*s**2/2 - 3. Suppose y(w) = 0. What is w?
-1, 0, 1
Let u(j) be the third derivative of j**10/50400 - j**9/10080 + j**7/840 - j**6/240 + j**5/60 + 2*j**2. Let v(p) be the third derivative of u(p). Factor v(g).
3*(g - 1)**3*(g + 1)
Let c(u) be the first derivative of 2*u**3/51 - 12*u**2/17 + 72*u/17 + 14. Factor c(n).
2*(n - 6)**2/17
Let y(m) be the first derivative of 4*m**3/3 - 12*m**2 + 20*m + 13. Find f, given that y(f) = 0.
1, 5
Let g(i) be the third derivative of 0*i + 0 + 0*i**3 - i**2 + 1/140*i**6 + 2/735*i**7 + 0*i**5 - 1/84*i**4. Determine z so that g(z) = 0.
-1, 0, 1/2
Let p(r) be the third derivative of -r**6/120 - r**5/20 + r**4/24 + r**3/2 + 26*r**2. Factor p(a).
-(a - 1)*(a + 1)*(a + 3)
Let x(q) = -q**3 - 11*q**2 - q - 8. Let w be x(-11). Let 2*j**4 + 6*j**2 - 2*j + j - j + 3*j**w - 9*j**3 = 0. Calculate j.
0, 1
Let p(t) = -t**4 - t**3 + t**2 - 1. Suppose -2 - 3 = -5*i. Let c(l) = -6*l**4 - 12*l**3 + 21*l + 15. Let j(b) = i*c(b) + 9*p(b). Suppose j(r) = 0. What is r?
-1, -2/5, 1
Let o(v) be the third derivative of v**8/896 - v**7/280 + v**6/320 - 4*v**2. Determine r, given that o(r) = 0.
0, 1
Factor 4/9*m**2 + 2/9*m**4 + 0*m + 0 - 2/3*m**3.
2*m**2*(m - 2)*(m - 1)/9
Let z(r) be the second derivative of r**7/147 + 2*r**6/105 - r**5/35 - 2*r**4/21 + r**3/21 + 2*r**2/7 - r. Let z(x) = 0. What is x?
-2, -1, 1
Let g be 1*((-8)/(-3) + 6/(-9)). Factor 2*z**3 + 18/5*z + 4/5 + 24/5*z**g.
2*(z + 1)**2*(5*z + 2)/5
Let r(f) = 5*f**4 - 37*f**3 + 55*f**2 - 27*f. Let v(b) = -20*b**4 + 149*b**3 - 220*b**2 + 109*b. Let s(a) = -9*r(a) - 2*v(a). Determine y so that s(y) = 0.
0, 1, 5
Let z(r) be the second derivative of 3*r**8/1120 + r**7/63 + 13*r**6/360 + r**5/30 - r**4/2 + 9*r. Let o(m) be the third derivative of z(m). Factor o(n).
2*(n + 1)**2*(9*n + 2)
Let v be (-2 - -6) + 46/(-12). Let -v - 1/6*h**2 + 1/3*h = 0. What is h?
1
Let y = 1/543 - 3809/4344. Let n = -17/56 - y. Solve -2/7*w**2 + 0 + n*w = 0.
0, 2
Let b be (-2)/14*147/(-42). Let b*x**3 + 0 + 3/2*x**2 + x = 0. Calculate x.
-2, -1, 0
Let s(w) = -w**2 - 7*w + 6. Let z be s(-7). Determine h, given that -10 + z*h + 2*h - 28*h**3 + 20*h + 24*h**4 + 2 - 16*h**2 = 0.
-1, 1/2, 2/3, 1
Factor -5*v - 45*v - 8 - 13*v - 100*v**2 + 3*v.
-4*(5*v + 1)*(5*v + 2)
Let c(r) be the third derivative of r**6/40 - 3*r**5/10 - 15*r**4/8 - 4*r**3 - 14*r**2. Let c(g) = 0. What is g?
-1, 8
Let s(n) be the first derivative of 2*n**5/85 + 6*n**4/17 + 92*n**3/51 + 60*n**2/17 + 50*n/17 + 41. Factor s(v).
2*(v + 1)**2*(v + 5)**2/17
Factor 4/15 - 2/5*d**2 - 2/15*d.
-2*(d + 1)*(3*d - 2)/15
Let x(v) be the first derivative of -3*v**5/5 + 3*v**4/4 + v**3 - 3*v**2/2 - 5. Factor x(n).
-3*n*(n - 1)**2*(n + 1)
Suppose -3/7 + 3/7*y**3 + 9/7*y - 9/7*y**2 = 0. Calculate y.
1
Let y(c) be the first derivative of -4/5*c**5 - 2*c**4 + 2/3*c**6 + 2*c**2 - 4*c + 5 + 8/3*c**3. Solve y(r) = 0.
-1, 1
Let c(u) be the third derivative of 0 + 1/3*u**3 + 0*u - 1/60*u**6 + 1/10*u**5 + 3*u**2 - 1/4*u**4. Factor c(v).
-2*(v - 1)**3
Let i(d) = -d**2 - 8*d - 4. Let l(a) = -a. Let u(n) = -4*i(n) + 12*l(n). Suppose u(s) = 0. Calculate s.
-4, -1
Let s(d) be the first derivative of -2/9*d**2 + 2/27*d**3 + 6 + 2/9*d. Factor s(t).
2*(t - 1)**2/9
Let l = 3 - 7. Let b be -2 - ((-6)/(-9) + l). Factor b*t - 2/3*t**2 - 2/3.
-2*(t - 1)**2/3
Let r be (-4 - -1) + -3*(-13)/12. Suppose -1/2 + 1/2*u**2 + 1/4*u - r*u**3 = 0. What is u?
-1, 1, 2
Let s be -11 + 13 - 28/15. Let z(o) be the first derivative of 1/3*o**4 + 0*o**3 + 2/3*o + 2 - 2/3*o**2 - s*o**5. Factor z(a).
-2*(a - 1)**3*(a + 1)/3
Let y(q) = -q**2 + 5*q + 9. Let m be y(6). Let g(b) be the second derivative of 1/18*b**m - 1/18*b**4 + 1/6*b**2 + 0 - b. Determine x so that g(x) = 0.
-1/2, 1
Factor -10/11*m + 4/11 + 6/11*m**2 - 2/11*m**4 + 2/11*m**3.
-2*(m - 1)**3*(m + 2)/11
Let b(c) be the third derivative of c**5/60 + c**4/12 + 2*c**2. Find w, given that b(w) = 0.
-2, 0
Suppose 5*h - 3*j = 46, 0*h = h - 4*j - 16. Let s(w) = -w + 11. Let l be s(h). Factor -9*t**2 - 9*t + 6*t + 6*t**4 + 3*t**3 + l*t**4.
3*t*(t - 1)*(t + 1)*(3*t + 1)
Solve 4*c**2 + 1/2*c**4 + 2*c + 5/2*c**3 + 0 = 0 for c.
-2, -1, 0
Let r = 124/531 - 2/177. Let g = 896 + -8056/9. Factor -g*y + 8/9 + r*y**2.
2*(y - 2)**2/9
Let i = 35 - 33. Factor 2/7*m**4 + 0*m**3 + 0*m - 4/7*m**i + 2/7.
2*(m - 1)**2*(m + 1)**2/7
Let p be 50/15 + 2/(-6). Suppose -4 = -p*f + 2*f. Factor 0*w**5 + 3*w**5 + 3*w**2 + 0*w**f - 3*w**4 - 36*w**3 + 33*w**3.
3*w**2*(w - 1)**2*(w + 1)
Factor 0 + 0*c**3 + 0*c**2 - 2/7*c**4 + 0*c.
-2*c**4/7
Suppose 29*a - 19*a = 20. Factor -1/2*s**a + 0 + s.
-s*(s - 2)/2
Suppose 0 = -0*a - 5*a. Let w = 2 + 2. Factor 0*g + a - 2/9*g**w + 0*g**3 + 2/9*g**5 + 0*g**2.
2*g**4*(g - 1)/9
Let d(c) be the third derivative of c**8/2184 - 4*c**7/1365 + c**6/390 + 2*c**5/195 - c**4/52 + 7*c**2. Solve d(n) = 0 for n.
-1, 0, 1, 3
Let y(v) = -89*v**4 - 429*v**3 - 582*v**2 - 171*v + 11. Let o(n) = -18*n**4 - 86*n**3 - 116*n**2 - 34*n + 2. Let g(z) = -11*o(z) + 2*y(z). Factor g(f).
4*f*(f + 2)**2*(5*f + 2)
Let h(t) = 0*t + 0*t + 3*t - 4*t - 9. Let x be h(-9). Solve x - 8/7*r + 6/7*r**3 - 2/7*r**4 + 0*r**2 = 0.
-1, 0, 2
Factor -1/4*g**2 + 0 + 1/4*g**3 - 1/2*g.
g*(g - 2)*(g + 1)/4
Let r = 32 + -30. Let h be (1 - (r + -1))/1. Determine v so that h*v**4 + 0*v**2 - 2/9*v**3 + 0 + 2/9*v**5 + 0*v = 0.
-1, 0, 1
Let n(q) be the second derivative of -q**4/3 - 14*q**3/3 + 29*q. Suppose n(g) = 0. What is g?
-7, 0
Let w(g) be the second derivative of -g**6/120 + g**5/40 + 2*g. Factor w(f).
-f**3*(f - 2)/4
Let l = -8 - -10. Let u(p) be the first derivative of 61/18*p**4 + 4/9*p - 56/27*p**6 + 52/45*p**5 - 5/9*p**l - 56/27*p**3 + 2. Determine i so that u(i) = 0.
-1, -2/7, 1/4, 1/2, 1
Let y(v) be the third derivative of v**7/210 - v**6/120 + 2*v**2. Factor y(m).
m**3*(m - 1)
Let s(m) be the third derivative of -1/48*m**4 + 0*m**5 - m**2 + 1/240*m**6 + 1/840*m**7 - 1/24*m**3 + 0 + 0*m. Factor s(r).
(r - 1)*(r + 1)**3/4
Let g(u) be the second derivative of -u**2 - 1/40*u**5 - 1/12*u**3 + 0 + 3*u - 1/12*u**4. Let r(a) be the first derivative of g(a). Factor r(d).
-(d + 1)*(3*d + 1)/2
Suppose 0 = -4*h + 12, 2*h + 3 - 6 = r. Let -11*q**r - 12*q**2 + 1/2*q + 1 + 11*q**4 + 21/2*q**5 = 0. Calculate q.
-1, -1/3, 2/7, 1
Suppose 3*v + 5 - 17 = 0. What is r in 20*r**2 + 18*r - 8*r**3 - 9*r**v + 0*r**3 + 4 - 15*r**4 - 10*r**5 = 0?
-1, -2/5, 1
Let n be ((-2)/(-10))/(2 + 52/(-30)). Let r(i) be the first derivative of 3/2*i**2 - 1/3*i**3 - n*i**4 + i - 3. Factor r(p).
-(p - 1)*(p + 1)*(3*p + 1)
Factor 28*p + 4/3*p**3 + 32/3*p**2 + 24.
4*(p + 2)*(p + 3)**2/3
Let l(u) be the first derivative of u**4/26 + 4*u**3/39 + 21. Factor l(g).
2*g**2*(g + 2)/13
Factor 1/3*h**2 - 1/3*h**3 + 2/3*h + 0.
-h*(h - 2)*(h + 1)/3
Let g(o) be the third derivative of o**8/2352 - o**7/490 + o**6/420 + o**5/210 - o**4/56 + o**3/42 - 12*o**2. Suppose g(y) = 0. What is y?
-1, 1
Let s(m) be the third derivative of 0 - 4/105*m**7 + 1/12*m**4 + 0*m - m**2 + 0*m**3 - 7/60*m**6 - 1/15*m**5. Factor s(p).
-2*p*(p + 1)**2*(4*p - 1)
Let d(l) = 13*l**5 - 15*l**4 + 15*l**3 - 13*l**2 + 6. Let i(h) = -2*h**5 + h**4 + h**2 - 1. Let x(g) = -d(g) - 6*i(g). Solve x(q) = 0 for q.
0, 1, 7
Let y be -1 + 93/(-180)*-2. Let i(l) be the third derivative of 0*l - 1/105*l**7 + 0*l**6 + 0*l**4 + 2*l**2 + y*l**5 + 0 + 0*l**3. Factor i(k).
-2*k**2*(k - 1)*(k + 1)
Let d(v) be the first derivative of 16*v**5/45 - 4*v**4/3 + 52*v**3/27 - 4*v**2/3 + 4*v/9 + 13. Factor d(b).
4*(b - 1)**2*(2*b - 1)**2/9
Let k = 11 - 5. Suppose k = 2*q + 2. Solve 5/2*w**2 - q*w**3 + 0 - 1/2*w = 0.
0, 1/4, 1
Suppose o + 2*s = s - 7, -3*o = -s + 5. Let p be (0*(o + 2))/2. What is q in -3*q**2 + 4*q**2 - 2*q + p*q + q**2 = 0?
0, 1
Determine k so that 2*k**2 + 4*k**3 - 8*k**2 + 14*k**2 + 4*k = 0.
-1, 0
Let k = 66/31 + -3442/1209. Let g = k + 18/13. Let -