**3 = 0.
-1, 1, 2
Factor 2 + 79138*w**2 + 4*w**3 - 58 - 76*w - 79154*w**2.
4*(w - 7)*(w + 1)*(w + 2)
Let b(f) be the first derivative of -2 + 10/3*f - 25/18*f**3 + 0*f**4 + 1/6*f**5 + 0*f**2. Find a such that b(a) = 0.
-2, -1, 1, 2
Let a(x) be the second derivative of 5*x**7/42 - 17*x**6/30 - 39*x**5/20 - 7*x**4/12 + 5*x**3/3 + 41*x + 2. Factor a(h).
h*(h - 5)*(h + 1)**2*(5*h - 2)
Suppose 4*v - 13*v = 0. Let o(a) be the second derivative of v*a**3 - 2*a + 1/2*a**4 + 0 - 4*a**2 + 1/10*a**5. Factor o(d).
2*(d - 1)*(d + 2)**2
Let b(r) = -r**2 + 2*r - 1. Let a be b(1). Let s(c) = 2*c**2 - c - 1. Let h be s(2). Factor -3*z**5 + a*z**h + z**5 - 6*z**3 + 38*z**2 - 40*z**2 - 6*z**4.
-2*z**2*(z + 1)**3
Let g = -249/2 - -126. Let j(r) be the second derivative of 0 - 9/20*r**5 + 17/6*r**3 - g*r**2 - 3*r - 7/4*r**4. Let j(k) = 0. Calculate k.
-3, 1/3
Suppose -3*d + 78 = -5*o, -2*d + 3*o - 8*o = -52. Suppose -3*z = -4*t - 19, -z - t = -6*z + d. Factor 1/4*n - 3/8*n**3 + 0 - 7/8*n**4 + 3/8*n**2 - 3/8*n**z.
-n*(n + 1)**3*(3*n - 2)/8
Factor 0*a + 0 + 12/7*a**2 + 1/7*a**3.
a**2*(a + 12)/7
Let j(d) be the third derivative of d**5/24 + 75*d**4/8 + 4*d**2 - 31*d. What is h in j(h) = 0?
-90, 0
Let u(h) = -8*h - 190. Let p be u(-24). Let n(f) be the first derivative of -24*f**p + 34/3*f**3 + 8*f + 4 + 45/2*f**4. Find r, given that n(r) = 0.
-1, 2/9, 2/5
Let h(b) be the second derivative of b**7/3360 - b**6/1440 - b**5/240 + b**3 - 9*b. Let z(o) be the second derivative of h(o). Factor z(t).
t*(t - 2)*(t + 1)/4
Solve 3/2*x**4 - 30*x - 25/2 + 27*x**2 + 14*x**3 = 0 for x.
-5, -1/3, 1
Let i be 1/(2/3) - (-79)/(-79). Let i + 0*u - 1/2*u**2 = 0. Calculate u.
-1, 1
Factor 134/13*o**2 - 2/13*o**3 - 2310/13*o + 2178/13.
-2*(o - 33)**2*(o - 1)/13
Let l(y) be the first derivative of -2*y**5/45 - 2*y**4/9 + 10*y**3/27 + 116. Factor l(f).
-2*f**2*(f - 1)*(f + 5)/9
Let r(l) = -l**2 - 6*l - 3. Let q be 19/(-6) + 5/30. Let i be r(q). Factor -6*s**2 + 15*s**2 + 3*s**3 + i*s + 4 - 4.
3*s*(s + 1)*(s + 2)
Let r(m) be the first derivative of 5*m**3/3 - 105*m**2/2 + 190*m - 39. Suppose r(x) = 0. Calculate x.
2, 19
Let u(q) be the third derivative of -q**7/3780 + 11*q**6/540 - 121*q**5/180 - 4*q**4/3 - 49*q**2. Let p(m) be the second derivative of u(m). Solve p(t) = 0.
11
Let 4*s**3 - 60*s + 65*s - 9*s**3 - 20*s**2 + 20 = 0. Calculate s.
-4, -1, 1
Let g(j) = -j**2 + 13*j + 1. Let c be g(12). Let m(y) be the second derivative of 0*y**2 + c*y + 2/15*y**3 + 1/30*y**4 + 0. Factor m(i).
2*i*(i + 2)/5
Let f(j) be the second derivative of -j**7/91 + 16*j**6/39 - 49*j**5/130 - 40*j**4/39 + 4*j**3/3 + 3*j + 12. Let f(k) = 0. What is k?
-1, 0, 2/3, 1, 26
Determine o so that -14017*o**2 + 0*o**3 - 21*o - 15*o**3 + 13984*o**2 - 3 = 0.
-1, -1/5
Let n(t) be the first derivative of 2*t**6/3 + 8*t**5/5 - 6*t**4 - 32*t**3/3 + 10*t**2 + 24*t + 40. Find h, given that n(h) = 0.
-3, -1, 1, 2
Let s = 11 + 5. Let 8*g - 19*g + 4*g**4 + s + 60*g**2 - 21*g - 28*g**3 - 20*g = 0. What is g?
1, 4
Let p = -5/59 - -773/4248. Let f(i) be the second derivative of -11*i + p*i**4 - 1/24*i**5 + 0*i**2 - 1/18*i**3 + 0. Factor f(g).
-g*(g - 1)*(5*g - 2)/6
Let r(h) = 4*h - 17. Let f be r(8). Let w(d) = -20*d**2 + 5*d. Let i(n) = n**2 + n - 1. Let z(y) = f*i(y) + w(y). Suppose z(c) = 0. What is c?
1, 3
Let n = -8 + 12. Suppose -v - 4*x = 6, n*v - 2*x - 8 - 4 = 0. Suppose -r**4 - 2*r - 2*r + v*r**3 + 2*r**5 - 10*r**4 - 6*r**2 + 17*r**4 = 0. What is r?
-2, -1, 0, 1
Let c be 2/100*5 + 0. Let m(s) be the second derivative of 0 + 0*s**2 + c*s**6 + 0*s**3 + 0*s**4 - s + 3/20*s**5. Determine y so that m(y) = 0.
-1, 0
Suppose -5*v + 7 = -8. Suppose -v*l = -0*l + 3*s + 3, -6 = 2*s. Let 4*z**3 + 8*z**4 - 8*z**2 + 6*z**3 + l*z**5 - 8*z**3 - 8*z + 4*z**3 = 0. What is z?
-2, -1, 0, 1
Let s(w) be the first derivative of 2 + 0*w - 1/15*w**5 + 0*w**3 - 1/12*w**4 + 0*w**2. Factor s(q).
-q**3*(q + 1)/3
Let i(w) = -3*w**5 + w**4 + 9*w**3 - w**2 - 6*w. Let d(o) = 3*o**5 - 2*o**4 - 9*o**3 + 2*o**2 + 6*o. Let g(t) = -4*d(t) - 5*i(t). Factor g(c).
3*c*(c - 1)**2*(c + 1)*(c + 2)
Let t(h) be the second derivative of -h**4/42 + 2*h**3 - 63*h**2 + 3*h + 32. What is y in t(y) = 0?
21
Factor 2/3*p**2 + 2/3*p**5 - 10/3*p**3 + 8/3 - 2/3*p**4 + 16/3*p.
2*(p - 2)**2*(p + 1)**3/3
Suppose 0*t = 5*t + 4*v - 35, -4*t = 2*v - 28. Factor -10 - 5*x**2 + t*x + 8*x - 3*x**2 + 3*x**2.
-5*(x - 2)*(x - 1)
Let p(t) be the second derivative of t**7/840 + t**6/180 + t**5/120 + 4*t**3/3 + 6*t. Let m(j) be the second derivative of p(j). Solve m(q) = 0.
-1, 0
Let i(r) be the first derivative of r**3/12 - 27*r**2/4 - 55*r/4 - 114. What is u in i(u) = 0?
-1, 55
Let t = 15 - 13. What is j in -6*j**3 + 22*j**3 - 26*j**4 - 12*j**4 + 14*j**5 + 8*j**t = 0?
-2/7, 0, 1, 2
Let w(d) be the second derivative of 2/9*d**2 + 0 + 17*d + 2/27*d**4 + 1/3*d**3. Suppose w(u) = 0. What is u?
-2, -1/4
Let d = 149/203700 + 4/2425. Let z(a) be the third derivative of 5*a**2 - 1/240*a**6 + 0*a**3 + 0 + 0*a**4 + 0*a - d*a**7 + 0*a**5. Factor z(n).
-n**3*(n + 1)/2
Suppose -2*j - 5 = -h - 2*h, 0 = 2*h - 6. Let i(t) be the first derivative of -1/2*t + 1/6*t**3 + t**j - 1/2*t**4 - 7. Suppose i(d) = 0. Calculate d.
-1, 1/4, 1
Let q be (12/5)/2*(-100)/(-540). Factor q*g + 1/9*g**2 - 1/9*g**4 + 0 - 2/9*g**3.
-g*(g - 1)*(g + 1)*(g + 2)/9
Let k(i) = -3*i**3 - 84*i**2 - 289*i - 22. Let q be k(-24). What is c in 2/7*c**3 - 2/7*c + 8/7*c**q - 8/7 = 0?
-4, -1, 1
Let g = -15/202 - -333/404. Determine c so that 3/2*c**2 - 3/8*c**3 - 15/8*c + g = 0.
1, 2
Suppose -r + 11 + 8 = 0. Factor -5*m + r*m - 4*m**2 - 5*m**3 + 3*m**3 - 10 + 2.
-2*(m - 1)**2*(m + 4)
Let i be (27/36)/(3/8). Let c = 94 - 371/4. Let 0*n + c*n**3 - 5/4*n**5 + 0 - 1/2*n**i + 1/2*n**4 = 0. Calculate n.
-1, 0, 2/5, 1
Let z be 16/72 + (-32)/(-18). Let i(k) be the second derivative of 0*k**3 + 1/54*k**4 + 0 + 3*k + 0*k**z. What is v in i(v) = 0?
0
Let c = 31 + -23. Let q(h) = -h**3 + 9*h**2 - 6*h - 14. Let u be q(c). Determine z, given that -1/5*z**u + 0*z + 0 = 0.
0
Let b(u) = 27*u**2 + 19*u**2 + 37*u - 25*u**2. Let x(z) = -5*z**2 - 9*z. Let l(m) = 6*b(m) + 26*x(m). Factor l(v).
-4*v*(v + 3)
Suppose -4*v = -5*b, -5*b - 4*v - 29 + 69 = 0. Determine w, given that 1/2 + w**2 - 3/2*w - 3/2*w**b + w**3 + 1/2*w**5 = 0.
-1, 1
Factor 8*t**2 + 5 - 5 - 94*t**3 + 104*t**3 + 2*t**4.
2*t**2*(t + 1)*(t + 4)
Suppose 17 + 11 = 22*q - 16. Determine w so that -3/2*w**q - 9/2*w + 0 = 0.
-3, 0
Let r(i) be the third derivative of 147*i**7/2 + 147*i**6/4 + 7*i**5 + 5*i**4/9 + 3*i**2 - 29*i. Suppose r(y) = 0. What is y?
-2/21, 0
Let f(u) be the second derivative of -34*u + 0*u**3 + 0 - 1/4*u**2 + 0*u**5 + 1/12*u**4 - 1/60*u**6. Factor f(c).
-(c - 1)**2*(c + 1)**2/2
Let 192*k**2 - 8*k - 41 + 106 - 18*k**3 - 261 - 60 + 88*k**3 + 2*k**4 = 0. Calculate k.
-32, -2, 1
Let g = 165693/7 + -23670. Solve -3/7*s + 18/7 - g*s**2 = 0.
-3, 2
Let f(z) be the second derivative of 3*z**5/160 - 27*z**4/8 + 243*z**3 - 8748*z**2 + 330*z. Factor f(g).
3*(g - 36)**3/8
Let n = 1793 - 5357/3. Let 4/3 - n*s - 25/6*s**3 + 35/3*s**2 = 0. Calculate s.
2/5, 2
Let z be (0 + -7)/((-98)/28). Find t such that -z*t**5 + 10/3*t**3 + 10/3*t**4 + 0 - 10/3*t**2 - 4/3*t = 0.
-1, -1/3, 0, 1, 2
Let q(c) be the first derivative of -c**4 + 24*c**2 - 64*c - 88. Determine t so that q(t) = 0.
-4, 2
Let d(x) be the third derivative of x**7/4410 - x**6/315 + 2*x**5/105 - x**4/24 - x**2. Let t(h) be the second derivative of d(h). Let t(p) = 0. Calculate p.
2
Let u = 23 - 21. Let a(g) = g**3 - g**2 + 1. Let j(o) = -o**4 + 11*o**3 - 26*o**2 + 28*o - 9. Let q(l) = u*j(l) - 6*a(l). Let q(c) = 0. Calculate c.
1, 2, 3
Let m = 353 - 350. Let k be (3 - 28/8)*-1. Factor k*c**2 - 1/2 + 1/3*c - 1/3*c**m.
-(c - 1)*(c + 1)*(2*c - 3)/6
Let x(g) be the second derivative of -g**5/40 - 5*g**4/24 - 7*g**3/12 - 3*g**2/4 - g + 1. Solve x(d) = 0.
-3, -1
Let y be (-5)/(20/(-7))*-4. Let w be (-14)/y - (-104)/(-60). Suppose 4/15*g**2 - w - 2/3*g**3 + 2/3*g = 0. What is g?
-1, 2/5, 1
Factor -3286064/7 + 2/7*x**3 + 83544/7*x - 708/7*x**2.
2*(x - 118)**3/7
Suppose -248*c = -247*c - 4. Factor -3/5*b - 3/5 + 6/5*b**2 - 3/5*b**c - 3/5*b**5 + 6/5*b**3.
-3*(b - 1)**2*(b + 1)**3/5
Let f(t) be the first derivative of -t**4/4 - 2*t**3 + 4*t**2 + 9*t + 3.