*2. Factor q(a).
-5*a**2*(a + 1)**2
Let y(a) be the third derivative of -a**7/504 + a**6/54 - a**5/18 + 5*a**3/3 - 14*a**2. Let f(m) be the first derivative of y(m). Let f(c) = 0. Calculate c.
0, 2
Let j be (-6)/(-36) + (-1)/6. Let a(v) be the second derivative of -9/10*v**5 + 0 + 5*v - 1/2*v**3 + 2/5*v**6 + v**4 - 1/14*v**7 + j*v**2. Factor a(q).
-3*q*(q - 1)**4
Let l(y) be the third derivative of -y**6/60 - 4*y**5/15 - 4*y**4/3 + 3*y**2 + 50*y. Factor l(x).
-2*x*(x + 4)**2
Let s(m) be the third derivative of 1/720*m**6 + 0 + 3/16*m**4 - 1/40*m**5 - m**2 - 5/6*m**3 + 0*m. Let t(v) be the first derivative of s(v). Solve t(d) = 0.
3
Let u(p) be the first derivative of 3*p**6/200 + p**5/25 - p**4/40 - p**3/5 + 6*p**2 - 13. Let j(m) be the second derivative of u(m). Factor j(a).
3*(a + 1)**2*(3*a - 2)/5
Suppose 4/9*q**2 - 10/9*q - 4/9 + 10/9*q**3 = 0. What is q?
-1, -2/5, 1
Let f(b) = 148*b - 885. Let s be f(6). Determine m so that 14/3*m**3 + s*m - 2*m**4 - 16/3*m**2 + 1/3*m**5 - 2/3 = 0.
1, 2
Let j(h) be the third derivative of -4*h**2 + 1/20*h**5 + 0 - 7/120*h**6 + 0*h + 7/24*h**4 - 1/42*h**7 + 1/3*h**3. Determine z, given that j(z) = 0.
-1, -2/5, 1
Factor -5*r + 16*r + 2*r**3 - 4*r**2 - 11*r.
2*r**2*(r - 2)
Solve 1/7*g**3 + 9/7*g + 0 + 10/7*g**2 = 0 for g.
-9, -1, 0
Suppose 19 = -2*o + 7*o - f, -2*o = 7*f + 59. Factor -3*w + w**o + 3 - 1/9*w**3.
-(w - 3)**3/9
Let q be (-2)/(-7)*140/10. Suppose 0*h**5 - 8*h**2 + 2*h**5 - 6*h**3 - 48*h**q + 52*h**4 + 8*h + 0*h**5 = 0. Calculate h.
-2, 0, 1
Suppose -x + 1 = -3. Solve 42*t - 5*t**x + 15 - 17*t**3 - 22*t - 7*t**3 - 10*t**2 + 4*t**3 = 0.
-3, -1, 1
Let x(y) be the second derivative of -1/21*y**3 + 0 + 1/14*y**2 + 0*y**4 - 7*y + 1/70*y**5 - 1/210*y**6. Factor x(m).
-(m - 1)**3*(m + 1)/7
Let y(v) be the first derivative of -3*v**4/4 + 6*v**3/5 + 69*v**2/10 + 36*v/5 - 167. Suppose y(f) = 0. Calculate f.
-1, -4/5, 3
Let h(g) = -2*g**2 - 400*g + 20398. Let p(j) = 3*j**2 + 399*j - 20397. Let q(i) = 5*h(i) + 4*p(i). Solve q(w) = 0.
101
Let y(a) be the third derivative of 1/3*a**3 + 7*a**2 - 5/24*a**4 + 1/15*a**5 + 0*a + 0 - 1/120*a**6. Factor y(x).
-(x - 2)*(x - 1)**2
Let i(k) be the third derivative of -k**8/1008 - k**7/63 - 17*k**6/360 - 2*k**5/45 - 5*k**2 - 3*k. Factor i(p).
-p**2*(p + 1)**2*(p + 8)/3
Let b(k) be the third derivative of 8*k**7/21 + 13*k**6/30 - 26*k**5/5 - 26*k**4/3 - 16*k**3/3 + 301*k**2. Find q such that b(q) = 0.
-2, -2/5, -1/4, 2
Suppose -47*k + 144 = 25*k. Factor 0*u + 0 + 1/2*u**4 + 1/6*u**k - 1/2*u**3 - 1/6*u**5.
-u**2*(u - 1)**3/6
Let o(r) be the first derivative of -2*r**5/5 + 4*r**3 - 8*r**2 + 6*r - 195. Determine s, given that o(s) = 0.
-3, 1
Factor -26/11*q**2 + 2/11*q**3 - 2/11*q + 26/11.
2*(q - 13)*(q - 1)*(q + 1)/11
Suppose y = 4*u + 42, 4*u + 2*y = -26 - 10. Let n be (-2)/5 - 24/u. Let 3/5*j**n + 27/5 - 18/5*j = 0. Calculate j.
3
Let k = -2/49 + 398/147. Solve k + 4/3*m**3 - 8*m - 2*m**4 + 6*m**2 = 0.
-2, 2/3, 1
Suppose -24*s - 128*s**2 - 24*s**3 - 44*s + 80 - 44*s**2 = 0. Calculate s.
-20/3, -1, 1/2
Let g = -19 + 9. Let z = g + 13. Solve 2*s**2 - 24*s**4 - 7*s**z + s**2 - 15*s**5 + 3*s**2 + 4*s**3 = 0.
-1, 0, 2/5
Let m(q) = 4*q**3 + 16*q**2 + 23*q + 5. Let x(c) = 28*c**3 + 112*c**2 + 160*c + 36. Let p = -4 + -16. Let v(f) = p*m(f) + 3*x(f). Determine r so that v(r) = 0.
-2, -1
Let h = 25/84 + -1/21. Let g(n) be the second derivative of 0 - 5*n - h*n**4 - 3*n**2 - 3/2*n**3. Factor g(i).
-3*(i + 1)*(i + 2)
Factor -12 - 3/2*x**3 + 9*x**2 - 2*x - 1/2*x**4.
-(x - 2)**2*(x + 1)*(x + 6)/2
Factor -2/3*x**2 + 2/3*x**4 + 10/3*x - 10/3*x**3 + 0.
2*x*(x - 5)*(x - 1)*(x + 1)/3
Let o = -3542 - -3544. Find i such that 2/9*i + 4/9 - 2/9*i**o = 0.
-1, 2
Let d(u) be the second derivative of -1/120*u**6 - 1/168*u**7 + 1/48*u**4 - 1/12*u**3 + 0 - 2*u + 3/80*u**5 + 0*u**2. What is b in d(b) = 0?
-2, -1, 0, 1
Let t be (84/9*-1 + 2)*-3. Suppose 5*u = 4*m + t, 4*u - 4*m = 13 + 7. Factor 1/2 - 1/4*y - 1/4*y**u.
-(y - 1)*(y + 2)/4
Let 4*o + 11/4*o**4 + 1 - 25/4*o**3 - 15/4*o**2 + 9/4*o**5 = 0. What is o?
-2, -1, -2/9, 1
Let y(l) be the second derivative of -4/35*l**5 - 4/21*l**4 + 1/105*l**6 + 32/7*l**3 + 23*l + 144/7*l**2 + 0. Suppose y(x) = 0. Calculate x.
-2, 6
Factor -3/7*q**2 + 48/7 + 0*q.
-3*(q - 4)*(q + 4)/7
Factor -8/7*f**2 + 20/7 - 2/7*f**3 + 2*f.
-2*(f - 2)*(f + 1)*(f + 5)/7
Suppose -q = 3*q + 3*o - 78, 3*o + 66 = 4*q. Let v be (-2)/((-20)/q + (-16)/72). Factor v*h**2 + 27/2 + 9*h.
3*(h + 3)**2/2
Suppose 10*a - 14*a + 1068 = 0. Let s = 271 - a. Suppose 0*h**s + 3/5*h + 3/5*h**5 + 0 + 0*h**2 - 6/5*h**3 = 0. What is h?
-1, 0, 1
Let o = 57352/7 + -8192. Factor -4/7*d**2 - 10/7*d**3 - o*d**4 + 0*d + 0 - 2/7*d**5.
-2*d**2*(d + 1)**2*(d + 2)/7
Let f = -25 - -27. Suppose -b + 34 + 30 = 5*u, 3*b + f*u = 192. Factor -114*c**2 + 13*c - b*c**3 - 8 - 25*c**4 - 31*c**3 - 65*c.
-(c + 1)*(c + 2)*(5*c + 2)**2
Let f = 328 - 326. Let i(q) be the second derivative of -4*q + 0*q**f - 2/3*q**4 - 2/15*q**6 - 3/5*q**5 + 0 + 0*q**3. Let i(o) = 0. What is o?
-2, -1, 0
Let k(s) be the third derivative of -s**8/504 - s**7/315 + s**6/60 + s**5/90 - s**4/18 + 85*s**2 + 2. What is x in k(x) = 0?
-2, -1, 0, 1
Let w(t) = 214*t - 194*t - 25*t**2 - 15*t**2 + 20*t**3. Let l(a) = -a**3 + a**2 + a - 1. Let v(g) = -5*l(g) - w(g). Find c, given that v(c) = 0.
1/3, 1
Let v be (-6258)/(-524)*56/420. Let a = 1/131 + v. Let -a - 2/5*o**2 - 8/5*o = 0. Calculate o.
-2
Let a be 22 - (-648)/(-30) - 1/5. Let d(z) be the first derivative of 0*z + 2/15*z**3 + 2/25*z**5 + 0*z**2 - 13 - a*z**4. Factor d(f).
2*f**2*(f - 1)**2/5
Let j(f) = -5*f - 29. Let l be j(-12). Let i = 3 - -2. Determine k, given that -l - 21*k**4 - 3*k**i + 4*k**2 + 81*k - 37 + 50*k**2 - 13 - 30*k**3 = 0.
-3, 1
Let h(z) be the first derivative of -z**6/360 - z**5/40 - z**4/12 + 2*z**3/3 - 25. Let a(r) be the third derivative of h(r). Factor a(k).
-(k + 1)*(k + 2)
Let n(l) be the second derivative of -l**4/48 - l**3/24 + 3*l**2/4 - 2*l + 26. Solve n(z) = 0.
-3, 2
Let b(u) be the second derivative of u**4/4 + 27*u**3/2 + 39*u**2 + 40*u - 3. Find f, given that b(f) = 0.
-26, -1
Let x be -2*38/20 + (24 - 20). Let l(t) be the first derivative of x*t**5 + 1/2*t**4 - 10 - 2/3*t**3 - 1/6*t**6 - 1/2*t**2 + t. Factor l(w).
-(w - 1)**3*(w + 1)**2
Let c(n) be the first derivative of 12 - 7*n**2 + 1/3*n**3 + 49*n. Factor c(q).
(q - 7)**2
What is b in 0 + 7*b**3 - 65/2*b**2 + 50*b - 1/2*b**4 = 0?
0, 4, 5
Suppose -3*l = -3*m - 6, 0 = l - 2*m + 4*m + 1. Suppose -3*x - 5*y = l, 6*x + 11 = 7*x - 4*y. Find o, given that -2/9*o**x + 0*o + 2/3*o**2 - 8/9 = 0.
-1, 2
Let s(f) be the second derivative of -f**6/45 + 4*f**5/15 - 2*f**4/3 - 5*f - 5. Factor s(q).
-2*q**2*(q - 6)*(q - 2)/3
Let a be 6 + 5 + (4 - 3). Suppose -2*l - 3*y = -7*y + 12, 4*l - a = -4*y. Solve 0*v + l - 3/7*v**3 + 9/7*v**2 = 0.
0, 3
Let t(d) be the second derivative of -d**6/360 + 11*d**5/180 + d**4/6 + 17*d**2/2 - 4*d - 3. Let o(n) be the first derivative of t(n). Solve o(l) = 0 for l.
-1, 0, 12
Let f = -8937 + 8940. Factor -2*d**f + 0*d**4 + 3/2*d + d**2 - 1 + 1/2*d**5.
(d - 1)**3*(d + 1)*(d + 2)/2
Let d(b) be the third derivative of -8/7*b**3 + 0 - 1/140*b**5 + 1/7*b**4 - 13*b**2 + 0*b. Factor d(k).
-3*(k - 4)**2/7
Let f = -938 + 940. Let s(i) be the second derivative of 1/9*i**4 + 1/9*i**3 + 1/30*i**5 + 0 + 0*i**f + 2*i. Let s(p) = 0. Calculate p.
-1, 0
Suppose 24*o = 26*o - 12. Determine q, given that o*q + 4*q + 3*q**2 + 12 - 3*q**2 + 2*q**2 = 0.
-3, -2
Suppose 2*p - 10 = -3*p, -96 = -4*x + 2*p. Suppose -v**2 + 186 + x*v**2 + 36*v - 170 + 4*v**3 = 0. What is v?
-4, -1
Find r such that 18*r + 0*r**2 + 14*r**2 - 17*r**2 = 0.
0, 6
Let h(j) be the second derivative of -3*j**5/20 + 5*j**4/2 - 33*j**3/2 + 54*j**2 + 2*j + 47. Solve h(r) = 0 for r.
3, 4
Factor 1/3*p**5 + 0*p**2 + 0 + p**3 + 4/3*p**4 + 0*p.
p**3*(p + 1)*(p + 3)/3
Let j be (-743)/(-3815) - (-11)/(-55). Let h = j - -41222/3815. Factor 2/5*l**3 - 54/5 - 18/5*l**2 + h*l.
2*(l - 3)**3/5
Let s(c) be the second derivative of -8*c**2 - 24*c + 1/40*c**5 + 8/3*c**3 + 0 - 5/12*c**4. Factor s(t).
(t - 4)**2*(t - 2)/2
Let l(a) be the third derivative of -a**7/2205 - 17*a**6/420 - 569*a**5/630 + 33*a**4/4 - 162*a**3/7 - a**2 + 302. Determine r so that l(r) = 0.
-27