*3 = 0. Calculate r.
-1, 0, 1
Solve -74*b - 196 - 5*b**2 + 18*b + b**2 = 0 for b.
-7
Factor -79*h**2 + 5*h**4 + 6*h + 4*h**4 - 4*h**3 + 70*h**2 - 2*h**3.
3*h*(h - 1)*(h + 1)*(3*h - 2)
Let q(j) = -2*j**2 + 2*j + 4. Let l be q(0). Let x(y) be the third derivative of -1/48*y**l + 0 + 1/80*y**5 + 0*y**3 - 2*y**2 - 1/480*y**6 + 0*y. Factor x(h).
-h*(h - 2)*(h - 1)/4
Let x(m) = 4*m - 9. Let d be x(4). Let 2*i + i**2 + 3*i**5 + 0*i**3 - d*i**4 + 6*i**4 - 5*i**3 + 0*i**2 = 0. Calculate i.
-1, -2/3, 0, 1
Let h(d) be the first derivative of 1/60*d**5 + 1/18*d**3 + 0*d**2 - 1/18*d**4 - 1 + 3*d. Let c(b) be the first derivative of h(b). Factor c(p).
p*(p - 1)**2/3
Factor 0 + 2/11*q**2 + 4/11*q - 6/11*q**4 - 8/11*q**3.
-2*q*(q + 1)**2*(3*q - 2)/11
Factor -4/7*u**2 - 4/7*u**4 + 1/7*u**5 + 0 + 1/7*u + 6/7*u**3.
u*(u - 1)**4/7
Suppose -2*p = -0*p - 6. Find a, given that 4/5*a**2 + 0 - 2/5*a - 2/5*a**p = 0.
0, 1
Let h(k) be the third derivative of 4*k**2 + 0 + 1/525*k**7 + 0*k**5 + 0*k**3 + 0*k - 1/300*k**6 + 0*k**4. Factor h(p).
2*p**3*(p - 1)/5
Let j(n) be the first derivative of -5*n**3/3 + 85*n**2 - 1445*n - 44. Find z such that j(z) = 0.
17
Let s(y) be the first derivative of -3*y**5/5 + 3*y**3 - 3*y**2 - 8. Factor s(k).
-3*k*(k - 1)**2*(k + 2)
Let j be 2/(-11) + (-728)/(-858). Factor 1/3 - 1/3*o**4 + 2/3*o + 0*o**2 - j*o**3.
-(o - 1)*(o + 1)**3/3
Let q = 371 + -12983/35. Let j(l) be the first derivative of -12/7*l**2 + 26/21*l**3 + 8/7*l + q*l**5 - 3 - 3/7*l**4. Factor j(f).
2*(f - 2)**2*(f - 1)**2/7
Let a = 6 + -10. Let w(g) = g**3 + 5*g**2 + 3*g - 2. Let j be w(a). Let 3 - 3*t**3 + 5*t**3 - 6*t**j + 5 = 0. What is t?
-1, 2
Solve -4*c**2 - 4*c - 5 + 8 + 5 = 0 for c.
-2, 1
Let s(h) be the first derivative of h**6/1620 - h**4/108 + 4*h**3/3 + 6. Let t(m) be the third derivative of s(m). Factor t(j).
2*(j - 1)*(j + 1)/9
Let v(c) be the third derivative of 1/72*c**4 - 1/630*c**7 + 3*c**2 - 1/60*c**5 + 1/120*c**6 + 0*c + 0*c**3 + 0. Factor v(p).
-p*(p - 1)**3/3
Let r be (-5 + 1)*6/(-8). Let m(v) be the first derivative of -8*v + 1/4*v**4 - 2*v**r + 6*v**2 - 3. Factor m(u).
(u - 2)**3
Let n(q) be the first derivative of -5*q**3/7 - 39*q**2/14 - 18*q/7 - 9. Solve n(s) = 0.
-2, -3/5
Let h(c) = -c**2. Let n(l) = 3*l**2. Let p(b) = -11*h(b) - 4*n(b). Let o(y) = -6*y**2 + 24*y - 48. Let m(d) = -o(d) + 3*p(d). Find j, given that m(j) = 0.
4
Suppose 4/9 + 2/3*r**2 - r - 1/9*r**3 = 0. What is r?
1, 4
Let z(b) be the first derivative of 1/2*b + 9/8*b**2 - 5 + 7/12*b**3. Factor z(i).
(i + 1)*(7*i + 2)/4
Factor 10/3 + 5/6*g**2 + 10/3*g.
5*(g + 2)**2/6
Let v(k) be the third derivative of k**6/120 + 2*k**5/15 - k**4/12 - 2*k**3 + k**2. Let u be v(-8). Factor -l**3 - 6*l**2 + l**3 + 2*l**u + 2 + 2*l**2.
2*(l - 1)**2*(l + 1)**2
Let c = -113 + 115. Factor -c*p**2 - 1/2*p + 0.
-p*(4*p + 1)/2
Let o(r) = -8*r**3 - 24*r**2 - 24*r - 10. Let t(n) = -9*n**3 - 25*n**2 - 24*n - 11. Let h be (-3)/2*4/3. Let y(f) = h*t(f) + 3*o(f). Solve y(z) = 0 for z.
-2, -1, -2/3
Let -2/9*x**3 + 2/3*x**2 + 0*x - 8/9 = 0. Calculate x.
-1, 2
Let d(p) be the first derivative of -p**6/15 - 2*p**5/25 + 3*p**4/10 + 2*p**3/15 - 2*p**2/5 - 32. Suppose d(l) = 0. What is l?
-2, -1, 0, 1
Let j be (1/2)/((-2)/(-12)). Suppose -2*r - 2 = -j*r. Find w, given that -2/11*w**3 + 6/11*w**r + 2/11 - 6/11*w = 0.
1
Find f such that 15/2*f**2 - 5*f**5 + 0*f + 20*f**3 + 0 + 15/2*f**4 = 0.
-1, -1/2, 0, 3
Let m = -31 - -31. Let d(l) be the second derivative of -1/3*l**4 + 0*l**2 + m + 1/10*l**5 + 1/3*l**3 - 3*l. Factor d(j).
2*j*(j - 1)**2
Let l(q) be the third derivative of q**8/1344 + q**7/840 + 2*q**2. Factor l(n).
n**4*(n + 1)/4
Let y(b) be the first derivative of -3*b**4/14 + 2*b**3/21 + 3*b**2/7 - 2*b/7 + 4. Let y(d) = 0. What is d?
-1, 1/3, 1
Let t(a) = -a**3 + 11*a**2 - 20*a + 21. Let f be t(9). Let d(n) be the second derivative of 4/3*n**2 + 0 + 1/18*n**4 - n - 4/9*n**f. Factor d(o).
2*(o - 2)**2/3
Let g(v) be the first derivative of 20*v**3/3 + 25*v**2/2 + 5*v - 23. Let g(d) = 0. Calculate d.
-1, -1/4
Let m(i) be the third derivative of i**8/112 + 2*i**7/35 + i**6/10 - i**5/10 - 5*i**4/8 - i**3 - 7*i**2. Factor m(u).
3*(u - 1)*(u + 1)**3*(u + 2)
Suppose -30*o = -29*o - 4. Factor 8/7*z**3 + 4/7 + 4/7*z**2 - 10/7*z - 8/7*z**o + 2/7*z**5.
2*(z - 2)*(z - 1)**3*(z + 1)/7
Let b(g) be the third derivative of g**8/84 + 4*g**7/105 - g**6/15 - 8*g**5/15 - 7*g**4/6 - 4*g**3/3 - g**2 + 24*g. Solve b(t) = 0.
-1, 2
Let i = -8 - -8. Suppose 0 = -p, i*u - 5*p - 4 = -u. Find d, given that -14/3*d**u + 2/3*d + 0 - 11/3*d**3 + 5/3*d**2 = 0.
-1, -2/7, 0, 1/2
Let v be 95*-1*(1 + -2). Let a = 481/5 - v. Factor 0*n**3 - 2/5*n**4 + a*n**2 + 0 - 4/5*n.
-2*n*(n - 1)**2*(n + 2)/5
Let q(l) be the second derivative of 55*l**4/12 - 5*l**3/3 - 6*l. Determine f so that q(f) = 0.
0, 2/11
Let c(w) = w + 3. Let q be c(-6). Let g = q - -7. Solve 2/3 + 4*i**2 + 2/3*i**g - 8/3*i - 8/3*i**3 = 0.
1
Let k(x) be the first derivative of 3*x**4/4 + 2*x**3 + 5. Determine d, given that k(d) = 0.
-2, 0
Suppose 4 = -3*z + 10. Suppose 5*c - 17 = -z*k, -3*c - 3*k + 9 = -c. Factor 1/4*i**c + 0 + 0*i + 0*i**2.
i**3/4
Let j(w) = -8*w**4 - 9*w**3 - 8*w**2 - 7. Let g(a) = -a**4 - a**3 - a**2 - 1. Let s(n) = -14*g(n) + 2*j(n). Find f, given that s(f) = 0.
-1, 0
Let r be (1*-4 - 0)/2. Let o be (-5)/r*(-1)/(-5). Factor 0 + 0*i**4 + 1/4*i + 0*i**2 - o*i**3 + 1/4*i**5.
i*(i - 1)**2*(i + 1)**2/4
Let m(y) be the second derivative of -y**6/90 - y**5/60 + y**4/12 + y**3/18 - y**2/3 + 2*y. Factor m(z).
-(z - 1)**2*(z + 1)*(z + 2)/3
Let k be (-16)/(-12)*3 + -1. Let j(z) be the first derivative of 2*z + 1 - 2*z**2 + 2/3*z**k. Solve j(l) = 0.
1
Let h = 12 - 10. Let r = h + -2. Let 0 - 2/7*t**3 + r*t**2 + 0*t = 0. What is t?
0
Let t(k) be the first derivative of -k**3/3 + 2*k**2 - 5. Solve t(b) = 0.
0, 4
Let j(s) = -3*s**3 + 1 + 0 - s + 1 - 3. Let n be j(-1). Determine g so that -1 + 4*g - 4*g**n + 8*g**2 - 1 - 6*g**4 + 0*g**3 = 0.
-1, 1/3, 1
Suppose -4*t + 46 = 10. Let f be 4*(-3)/(t/(-3)). Determine j so that -j**f + 3*j**3 - j**3 - j**5 - 2*j**5 = 0.
-1, 0, 2/3
Let b(s) = -4*s**2 + s + 4. Let c(a) = 9*a**2 - a - 9. Let t(u) = -5*b(u) - 2*c(u). Determine z, given that t(z) = 0.
-1/2, 2
Let z(x) be the third derivative of -5*x**5/84 + 5*x**4/28 - 3*x**3/14 - x**2. Factor z(k).
-(5*k - 3)**2/7
Let d(x) be the third derivative of -x**6/60 + x**5/50 + x**4/5 + 4*x**3/15 - 36*x**2. Factor d(w).
-2*(w - 2)*(w + 1)*(5*w + 2)/5
Let m be 0 + 0 + (-6)/(-18). Factor 1/3*w + 0 - m*w**2.
-w*(w - 1)/3
Let r(k) be the third derivative of 0 + 0*k + 0*k**3 - 3*k**2 - 1/240*k**5 - 1/96*k**4. Factor r(x).
-x*(x + 1)/4
Let c be 3*(-1)/((-12)/20). Let o(u) be the third derivative of 0*u**3 + 0*u**4 + 0 + 1/300*u**c + u**2 + 0*u. Solve o(g) = 0.
0
Let t be 4/(-16)*(-17 + 5). Determine d so that 10/11*d + 2/11*d**t + 4/11 + 8/11*d**2 = 0.
-2, -1
Let v(o) be the second derivative of 2/9*o**3 - 5/72*o**4 - 1/3*o**2 + 1/120*o**5 + 0 + 3*o. Determine j, given that v(j) = 0.
1, 2
Let j(f) = f**2 + 9*f - 8. Let w be j(-10). Factor -4*x + x + x**w + 3*x.
x**2
Let r(t) = t - 5. Let d be r(7). Factor -3*j**2 + 7*j - 2*j - d*j.
-3*j*(j - 1)
Let n(u) be the second derivative of -1/30*u**5 - 1/12*u**4 + 2*u + u**2 + 0*u**3 + 0. Let f(d) be the first derivative of n(d). Factor f(r).
-2*r*(r + 1)
Let u = 6 - 2. Let 4 + f**3 - 2 + 3*f + 2*f**3 - u*f**3 = 0. Calculate f.
-1, 2
Let s = -134 - -137. Solve -s*l**2 + 3/4 - 9/4*l = 0.
-1, 1/4
Let d(o) be the second derivative of o**7/14 + o**6/5 - o**4/2 - o**3/2 + o. Factor d(l).
3*l*(l - 1)*(l + 1)**3
Let n(g) = 3*g + 5. Let c be n(-1). Let 0*p**c + 6/7*p**5 + 0*p - 2/7*p**3 + 0 + 4/7*p**4 = 0. Calculate p.
-1, 0, 1/3
Let f(q) = 27*q**3 + 9*q**2 - 13*q + 2. Let h(o) = o**2. Let l(s) = -f(s) - 3*h(s). Factor l(b).
-(b + 1)*(3*b - 1)*(9*b - 2)
Let t be (-6)/18*4 + 1 + 1. Solve -2*n + 2*n**2 - t*n**3 + 2/3 = 0 for n.
1
Suppose -178*x**2 + 3*x**3 + 4*x + 168*x**2 + 3*x**3 = 0. Calculate x.
0, 2/3, 1
Let x = -282 - -285. Let 0 + 1/6*h**2 + 0*h + 1/6*h**x = 0. What is h?
-1, 0
Let r(w) = -w**4 - 10*w**3 + w**2 + 16*w - 6. Let t(c) = -c**4 + c**2 + c - 1. Let h(o) = -r(o) + 6*t(o). Factor h(d).
-5*d*(d - 2)*(d - 1)*(d + 1)
Determine h, given that -1/4*h**3 - 147/4*h + 21/4*