0?
-1, 0, 1
Let l(o) be the first derivative of 72/19*o + 2/57*o**3 + 12/19*o**2 + 41. Factor l(z).
2*(z + 6)**2/19
Let c be (-24)/6 + -11 + -1. Let z be -2 - (0 + 36/c). Factor 0 - 1/2*b**2 + 1/4*b + z*b**3.
b*(b - 1)**2/4
Let d(k) be the second derivative of k**7/112 + 3*k**6/80 - 9*k**5/16 - k**4/16 + 93*k**3/16 + 189*k**2/16 - 252*k. Let d(q) = 0. What is q?
-7, -1, 3
Let n = 50245/58611 + -1/8373. Factor -3/7*w**3 - 15/7*w**2 - n*w + 24/7.
-3*(w - 1)*(w + 2)*(w + 4)/7
Factor 3*l - 3*l**3 + 126*l**2 - 65*l**2 - 58*l**2 - 3*l**4.
-3*l*(l - 1)*(l + 1)**2
Let a(v) be the second derivative of v**4/3 - 2*v**3/3 - 12*v**2 + 60*v. Let a(j) = 0. Calculate j.
-2, 3
Let s be (54/(-8))/(-9)*44. Suppose 10*g**4 + 9*g**4 + 15*g**4 - s*g**2 - 31*g**4 - 54*g - 24 = 0. What is g?
-2, -1, 4
Factor 5/2*u**2 + 90*u + 175/2.
5*(u + 1)*(u + 35)/2
Let h be (-384)/(-576) - 16/42. Find w such that -2/7*w**3 + 2/7 - 2/7*w**2 + h*w = 0.
-1, 1
Let i(y) be the second derivative of y**6/15 - 2*y**5/5 - 2*y**4 + 32*y**3/3 + 64*y**2 + 210*y + 2. Determine a, given that i(a) = 0.
-2, 4
Let a(h) = -9*h - 16. Let r be a(-3). Let d be (1/r)/(6/48). Suppose 8/11*x - 2/11*x**2 - d = 0. Calculate x.
2
Let q(p) = 5*p**4 - 38*p**3 + 60*p**2. Let g(k) = 20*k**4 - 151*k**3 + 240*k**2. Let d(w) = -2*g(w) + 9*q(w). Let d(x) = 0. Calculate x.
0, 2, 6
Let k(s) be the first derivative of 5 + 0*s**5 - 3/4*s**2 + 1/3*s**3 - 1/12*s**6 + 1/2*s**4 - s. Factor k(p).
-(p - 2)*(p - 1)*(p + 1)**3/2
Let u(w) be the third derivative of w**6/15 + 7*w**5/30 - w**4/6 + 19*w**2 + 3. Factor u(x).
2*x*(x + 2)*(4*x - 1)
What is g in -126*g + 6615 + 3/5*g**2 = 0?
105
Let h = -2922/7 + 418. Find l such that 12/7 - h*l**2 - 8/7*l = 0.
-3, 1
Let i(u) = 2*u**3 + u**2 - 5*u - 7. Let m be i(2). Let v(w) be the first derivative of -3/16*w**4 + 0*w + 1/4*w**m - 5 + 1/20*w**5 - 1/8*w**2. Factor v(r).
r*(r - 1)**3/4
Let j = -107 + 225. Let g = j - 1296/11. Let -2/11 + 0*b + g*b**2 = 0. What is b?
-1, 1
Let v(k) = -2*k**5 - 17*k**4 + 21*k**3 + 17*k**2 - 14*k + 5. Let n(w) = -w**5 - 8*w**4 + 10*w**3 + 8*w**2 - 7*w + 2. Let h(y) = -5*n(y) + 2*v(y). Factor h(u).
u*(u - 1)**2*(u + 1)*(u + 7)
Suppose 5*l - 5*k = 212 - 182, l + 6 = -3*k. Let j(o) be the first derivative of -o**2 - 4/5*o + 3 - 4/15*o**l. Factor j(h).
-2*(h + 2)*(2*h + 1)/5
Let c be (-2)/(-6) - 4/((-24)/10). Solve -2/3*n**3 + 10/9*n**c - 8/9 + 8/9*n = 0.
-1, 2/3, 2
Let s(f) be the first derivative of 0*f**3 + 1/3*f**2 - 1/18*f**4 + 7*f - 3. Let j(m) be the first derivative of s(m). Let j(t) = 0. What is t?
-1, 1
Suppose 12 = 5*p - 3*p + 4*r, -10 = p - 2*r. Let g be p/1 + (-8)/((-10)/5). Solve -4/7*a + 2/7*a**g + 2/7 = 0 for a.
1
Let b be (-1 + 13)*(-18)/(-54). Let q(v) be the second derivative of 0 + v + 1/36*v**b + 3/2*v**2 - 1/3*v**3. Factor q(s).
(s - 3)**2/3
Let r be 21/(-18) - 5785/(-4290). Suppose -r*p**2 + 6/11*p**3 + 0 + 0*p - 6/11*p**4 + 2/11*p**5 = 0. Calculate p.
0, 1
Let o be (-2)/(2/129)*(-2)/6. Suppose -o*i + 18 = -37*i. Find k such that -4/5*k**4 + 4/5*k**2 + 0 + 4/5*k - 4/5*k**i = 0.
-1, 0, 1
Let g = -5725 - -17176/3. Factor -4*l**2 + 8/3*l**3 + 0 + g*l**4 + 0*l - 1/3*l**5.
-l**2*(l - 2)**2*(l + 3)/3
Let k(v) = -58*v**3 + 88*v**2 - 38*v + 8. Let i(o) = o**3 - 2*o**2 - o + 2. Let d(h) = -2*i(h) + k(h). Determine y, given that d(y) = 0.
1/5, 1/3, 1
Let a(c) be the second derivative of -3*c**5/20 - c**4/2 + 15*c**3/2 + 54*c**2 - c - 9. Factor a(w).
-3*(w - 4)*(w + 3)**2
Let c = 1851 + -22211/12. Let f(i) be the second derivative of -1/6*i**4 + 0 - 3/40*i**5 + 13*i - c*i**3 + 0*i**2. Factor f(b).
-b*(b + 1)*(3*b + 1)/2
Let l = -18680/39 - -479. Let o(x) be the third derivative of 2*x**2 + l*x**4 + 0*x**3 + 0 + 0*x + 27/260*x**6 + 6/65*x**5. What is c in o(c) = 0?
-2/9, 0
Let z(y) be the second derivative of y**6/180 - 31*y**5/120 + 5*y**4/12 - 34*y + 2. Find r such that z(r) = 0.
0, 1, 30
Let k(r) be the second derivative of r**9/45360 + r**8/3360 + r**7/840 + 5*r**4/12 + 15*r. Let h(n) be the third derivative of k(n). Factor h(z).
z**2*(z + 3)**2/3
Let v(h) be the third derivative of h**6/80 - 3*h**5/16 + 27*h**4/32 - 5*h**3/4 + h**2 + 18. Suppose v(g) = 0. What is g?
1/2, 2, 5
Suppose -5*n - 2 = -12. Factor -20*s**4 - 8*s + 27*s - 5 + 16*s + 65*s**3 - 75*s**n.
-5*(s - 1)**3*(4*s - 1)
Let k be -36*(-23)/9936 - (-70)/24. Let -12 + 3/2*z**k + 3*z**2 - 6*z = 0. What is z?
-2, 2
Factor -4 - 1019 - 1196 - 1145 + 232*o - 4*o**2.
-4*(o - 29)**2
Let u = 4428 + -17709/4. Factor -u*r**3 - 21/4*r**2 - 6*r + 12.
-3*(r - 1)*(r + 4)**2/4
Let o = 445/153 - 23/17. Suppose -o*t - 26/9*t**3 + 10/3*t**2 + 8/9*t**4 + 2/9 = 0. Calculate t.
1/4, 1
Let m = -32541/35 + 930. Let t = m + 1/35. Suppose -6/7*r + 4/7 + t*r**2 = 0. What is r?
1, 2
Let f(x) = -x**2 - 20*x + 23. Let r be f(-21). Suppose -9*j**r - 3*j**5 - 15*j**2 - 6*j - 3*j**4 + 27*j**2 + 0*j**5 + 9*j**3 = 0. What is j?
-2, -1, 0, 1
Let i(a) = -a + 6. Let b be i(6). Factor -4/9*z**2 + 2/9*z + b + 2/9*z**3.
2*z*(z - 1)**2/9
Let c(g) be the second derivative of 1/3*g**2 + 17*g + 0 - 1/18*g**3 - 1/36*g**4. Factor c(d).
-(d - 1)*(d + 2)/3
Let x(a) be the second derivative of -a**4/4 - 11*a**3/2 + 39*a**2 + 3*a - 19. Factor x(h).
-3*(h - 2)*(h + 13)
Let u = 706 - 14810/21. Let w(x) be the third derivative of 2/21*x**4 + 0*x - 1/210*x**5 + 13*x**2 + 0 - u*x**3. Factor w(h).
-2*(h - 4)**2/7
Solve -57/5*m**3 - 344/5*m - 144/5 + 1/5*m**4 - 257/5*m**2 + 1/5*m**5 = 0 for m.
-4, -1, 9
Suppose c + 3*l = 5*c + 4, 30 = 5*c + 5*l. Let f(r) be the first derivative of -2/3*r**3 + 1/2*r**c + 2*r + 7 - 1/4*r**4. Find i, given that f(i) = 0.
-2, -1, 1
Let z = 3/9272 - -74149/83448. Determine y so that 0*y - 10/9*y**3 + 2/9*y**4 + 0 + z*y**2 = 0.
0, 1, 4
Let k(v) be the second derivative of v**4/18 - v**3/9 - 2*v**2 + 16*v + 6. Solve k(o) = 0 for o.
-2, 3
Find g, given that -5/6*g**2 - 5 - 25/6*g = 0.
-3, -2
Let t(u) be the first derivative of u**5 - 155*u**4/4 + 370*u**3 + 800*u**2 - 2560*u - 109. Factor t(k).
5*(k - 16)**2*(k - 1)*(k + 2)
Factor 0 - 4/5*j**2 - 18/5*j**3 + 0*j.
-2*j**2*(9*j + 2)/5
Let m(l) be the third derivative of l**8/420 - 13*l**7/525 - 7*l**6/300 - 2*l**2 - 4*l. Factor m(u).
2*u**3*(u - 7)*(2*u + 1)/5
Suppose 2*c + 0 - 1/2*c**3 + 0*c**2 = 0. What is c?
-2, 0, 2
Let b(a) be the first derivative of 9/2*a**2 + 8 + a**3 + 0*a. Factor b(h).
3*h*(h + 3)
Let d(r) be the first derivative of -2*r**6/3 + 4*r**5/5 + 6*r**4 + 308. Determine g, given that d(g) = 0.
-2, 0, 3
Suppose 3/2*i**2 - 1/2*i**4 + 0*i**3 - i + 0 = 0. Calculate i.
-2, 0, 1
Let s = 551/5 + -110. Let b(p) be the first derivative of 1/3*p**3 - 4 - 3/4*p**4 - 2*p + s*p**5 + 3/2*p**2. Solve b(q) = 0.
-1, 1, 2
Factor -49140*f + 246*f**2 + 166*f**2 - 3*f**3 - 5980 + 362*f**2 - 95420.
-3*(f - 130)**2*(f + 2)
Let m = -365 - -372. Let o(f) be the third derivative of -m*f**2 - 1/4*f**4 + 0 + 0*f + 1/100*f**5 + 5/2*f**3. Find c such that o(c) = 0.
5
Suppose -6*x + 3*x + 18 = 0. Suppose -g = 3*g - 3*p - 11, -2*p - x = -2*g. Factor 2*l**2 - 2*l**2 - 2*l**g.
-2*l**2
Find r, given that 12 + 2*r**2 + 20*r - 37*r + 27*r = 0.
-3, -2
Let l = -335 + 337. Let y(z) be the first derivative of 0*z - l + 9/5*z**5 - 2*z**3 + 0*z**2 + 3/4*z**4. Solve y(i) = 0.
-1, 0, 2/3
Let n(s) be the first derivative of s**4/12 + 2*s**3/3 + 2*s**2 + 8*s/3 + 64. Factor n(b).
(b + 2)**3/3
Let g(u) be the first derivative of u**6/900 + u**5/100 + u**4/30 - 13*u**3/3 - 10. Let z(l) be the third derivative of g(l). Solve z(v) = 0 for v.
-2, -1
Suppose -10 = -17*h + 12*h. Factor -2*y**2 + 1 + y**2 - 2*y - y**h + 3*y.
-(y - 1)*(2*y + 1)
Let o(w) be the first derivative of -5*w**4 - 67*w**3/5 - 51*w**2/5 - w/5 + 646. Factor o(q).
-(q + 1)**2*(100*q + 1)/5
Let c(q) be the first derivative of -3*q**2 - 1/2*q**4 + 0*q + 8/3*q**3 - 1. Find b such that c(b) = 0.
0, 1, 3
Let b(q) be the second derivative of -q**4/12 - 5*q**3/6 + 18*q**2 + 210*q. Factor b(x).
-(x - 4)*(x + 9)
Suppose 31*x - 229*x = -271 - 323. Factor -2*q**x + 0*q + 0 + 2/3*q**2 + 2*q**4 - 2/3*q**5.
-2*q**2*(q - 1)**3/3
Let g(o) be the third derivative of 1/15*o**5 + 0*o**4 - 22*o**2 - 2/35*o**7 + 0*o + 0 - 1/42*o**8 + 0*o**3 + 0*o**6. Factor g(z).
-4*z**2*(z + 1)**2*(2*z - 1)
Let k(a) be the first derivative of a**5/45 - 2*a**4/9 