10*l + 1/70*l**5 - 2/7*l**2 + 1/21*l**4 + 0 - 1/21*l**3. Suppose c(i) = 0. What is i?
-2, -1, 1
Let d be (13 + -13)*(-3)/(-6). Let o(r) be the third derivative of 1/150*r**6 + 0 + 0*r**4 + 8*r**2 - 1/525*r**7 - 1/150*r**5 + 0*r**3 + d*r. Factor o(j).
-2*j**2*(j - 1)**2/5
Factor 1/3*f**2 - f + 2/3.
(f - 2)*(f - 1)/3
Let h be (-209)/57 + (-4)/3. Let p be -1*(-2 - -2)/h. Determine x so that 0 - 1/5*x**2 + p*x = 0.
0
Let p = -7 + 6. Let k be 30/6 - (2 - p). Factor 0*j + 4*j + 9*j**k - 4*j**2 - 3*j**2 + 2.
2*(j + 1)**2
Let f(w) = w + 1. Let o(t) = 2*t**2 - 38*t + 58. Suppose -2*l - 14 = 2*z, 3*l = -5*z - 0*l - 25. Let x(n) = z*o(n) - 28*f(n). Determine s so that x(s) = 0.
6
Factor -21/4*s**2 - 15/4*s**4 + 3/4*s**5 + 0 + 27/4*s**3 + 3/2*s.
3*s*(s - 2)*(s - 1)**3/4
Let a(z) = -z - 1. Let k(o) = o**2 + o - 1. Let b(g) = g**2 - 5*g - 13. Let x(v) = b(v) - 2*k(v). Let h(q) = 44*a(q) - 4*x(q). Factor h(y).
4*y*(y - 4)
Let z(f) = -f**2 - 4*f + 15. Let k be z(-6). Determine r so that -3*r + 4*r**k + 4*r - 7*r - 2*r - 4*r**2 = 0.
-1, 0, 2
Let s = 10 + -6. Factor s*h - 11*h + 12*h - 10 + 5*h**2.
5*(h - 1)*(h + 2)
Let y = 165 + -168. Let q = y - -5. Factor 2/3*t + 0 + 10/9*t**3 + 14/9*t**q + 2/9*t**4.
2*t*(t + 1)**2*(t + 3)/9
Let l(h) be the second derivative of h**6/270 - h**5/20 + 7*h**4/108 + h**3/6 - 4*h**2/9 + 5*h - 3. Factor l(i).
(i - 8)*(i - 1)**2*(i + 1)/9
Let d(o) be the third derivative of -o**6/40 - 47*o**5/60 - 5*o**4/4 + 2*o**2 + 11*o. Factor d(f).
-f*(f + 15)*(3*f + 2)
Let s(r) be the second derivative of -1/5*r**3 - 1/60*r**4 - 1/2*r**2 + 0 + 8*r. Factor s(n).
-(n + 1)*(n + 5)/5
Let x(f) be the second derivative of -f**7/21 + f**6/15 + 7*f**5/5 - 4*f**4 - 23*f + 1. Suppose x(c) = 0. What is c?
-4, 0, 2, 3
Let p(c) be the second derivative of -c**7/70 + 21*c**6/50 - 9*c**5/4 - 361*c**4/20 - 204*c**3/5 - 216*c**2/5 + 8*c - 3. Let p(f) = 0. What is f?
-1, 12
Let y be 0/(10/(-10) - 0). Let q(x) be the third derivative of -9*x**2 + 0*x - 1/30*x**5 + 1/20*x**6 + y*x**3 + 0 + 0*x**4. Factor q(l).
2*l**2*(3*l - 1)
Determine r, given that 0*r**2 + 11*r - 429 - r**3 - 5*r**2 + r**2 + 423 = 0.
-6, 1
Let o(w) = w**2 + 3*w - 7. Let x be o(-5). Suppose -4*v + 27 + 0 = 3*k, 0 = 4*v - 2*k - 42. Let -12*p**2 - x*p + v*p**2 + 3*p = 0. Calculate p.
0
Suppose -4*v + 3*n = -15, -9 + 34 = -2*v - 5*n. Let g(o) be the third derivative of 0 + v*o**3 + 0*o**4 + 1/90*o**6 - 10*o**2 - 1/90*o**5 + 0*o. Factor g(j).
2*j**2*(2*j - 1)/3
Let g(p) be the second derivative of p**6/30 - 9*p**5/20 + 5*p**4/4 - 7*p**3/6 - 95*p. Factor g(h).
h*(h - 7)*(h - 1)**2
Let f = -443/77 + 39/7. Let x = f - -15/22. Let -7/4*o**2 + x - 5/4*o = 0. Calculate o.
-1, 2/7
Let u(q) be the first derivative of -q**6/18 - 7*q**5/30 - 7*q**4/24 - q**3/9 + 12. Find a such that u(a) = 0.
-2, -1, -1/2, 0
Factor 1/5*u**2 + 2/5 + 3/5*u.
(u + 1)*(u + 2)/5
Let c(a) be the second derivative of a**3/2 - 2*a**2 + 13*a. Let m be c(3). Find p, given that -4*p - 4*p**2 + 8*p + 3 + m = 0.
-1, 2
Suppose 17 = 5*s - n + 4*n, 2*s = 3*n - 10. Let p be (-112)/(-196) + 0/(1/s). Factor -4*t**3 + 6/7*t**2 + p*t + 0.
-2*t*(2*t - 1)*(7*t + 2)/7
Suppose 4*b = 8*b - 40. Let y be (-5 + 162/30)/(2/b). Suppose -1/2*t - 1/2*t**3 + t**y + 0 = 0. What is t?
0, 1
Let c be 4/24*-4*-3. Solve 7*i**2 + 2*i**c - 2*i**2 + 2*i + i**2 = 0.
-1/4, 0
Factor -1342*n**3 - 532*n**3 + 1405*n**2 + 95*n**3 - 1245*n - 221*n**3 + 3195*n**2 + 90.
-5*(n - 2)*(20*n - 3)**2
Let i be (-43)/(-9) - 6/(-27). Let z(s) be the first derivative of -s**4/4 + s**2/2 - s - 5. Let p(x) = 8*x**3 - 5*x + 5. Let k(h) = i*z(h) + p(h). Factor k(o).
3*o**3
Suppose 0 = -5*p - w + 5*w - 2, 2*p - 4*w + 8 = 0. Suppose -3*u - 5*d + 6 = -p*d, -10 = -5*u - d. Let 51 + 0*y + 2*y - 47 - 2*y**u = 0. What is y?
-1, 2
Suppose -2*o + 5*g - 359 = 2*g, 3*o = -3*g - 516. Let u be (o/(-90) + -2)/((-2)/8). Solve 8/9*b**2 - u*b**3 + 0 - 8/9*b = 0 for b.
0, 2
Let c(d) = 10*d**3 - 5*d**2 - 25*d + 20. Suppose 7*t - 40 = -t. Let w(o) = -11*o**3 + 5*o**2 + 26*o - 20. Let b(v) = t*w(v) + 6*c(v). Factor b(k).
5*(k - 2)*(k - 1)*(k + 2)
Let r = -232 + 237. Let d(a) be the third derivative of 0 - 1/30*a**3 - 1/600*a**6 - 1/100*a**r - 1/40*a**4 + 0*a + 2*a**2. Suppose d(l) = 0. Calculate l.
-1
Suppose 0 = 4*o + 2*i - 2, -i - 22 = -2*o - 11. Let u(p) be the first derivative of 0*p**2 + 12 + 0*p + 8/9*p**o - 1/6*p**4. Factor u(f).
-2*f**2*(f - 4)/3
Let n(j) = -j**3 + 6*j**2 + 3*j + 7. Let y be n(6). Factor -4*r - 13 - 4*r - 4*r**2 + y.
-4*(r - 1)*(r + 3)
Let r be 26/12 + (-205)/1230. Factor -1/3*d**3 + 0 - 1/3*d**r + 1/3*d + 1/3*d**4.
d*(d - 1)**2*(d + 1)/3
Let j(x) be the first derivative of 2*x**5/25 - 13*x**4/10 - 26. Factor j(z).
2*z**3*(z - 13)/5
Let p(x) be the third derivative of -5*x**9/432 + x**8/21 - x**7/42 + 7*x**3/6 + 23*x**2. Let t(j) be the first derivative of p(j). What is f in t(f) = 0?
0, 2/7, 2
Let b(w) = w**3 + 48*w**2 + 348*w - 2128. Let g(a) = -2*a**2 - a + 4. Let f(y) = -b(y) - 3*g(y). Solve f(c) = 0 for c.
-23, 4
Let o(z) be the first derivative of 2*z**5/35 - 2*z**4/7 - 52*z**3/21 + 60*z**2/7 + 450*z/7 + 60. Factor o(m).
2*(m - 5)**2*(m + 3)**2/7
Factor 243 + 51/2*j**3 + 759/4*j**2 + 3/4*j**4 - 459*j.
3*(j - 1)**2*(j + 18)**2/4
Let q(g) be the third derivative of 7/100*g**6 - 9*g**2 - 1/150*g**5 - 2/15*g**3 - 3/20*g**4 + 0*g - 3/175*g**7 + 0. Find u, given that q(u) = 0.
-1/3, 1, 2
Suppose 0 = 12*a - 13*a + 3. Find z, given that -z**4 + 25*z**3 - 26*z**3 - 2*z**2 + z + a*z**2 + 0*z**4 = 0.
-1, 0, 1
Let u(r) = r**3 - 10*r**2 + 9*r - 8. Let n(w) = 2*w**2 + w + 1. Let t(b) = -2*n(b) - u(b). Factor t(f).
-(f - 3)*(f - 2)*(f - 1)
Let d(g) be the first derivative of g**6/24 + 7*g**5/20 - 33*g**4/8 + 37*g**3/3 - 13*g**2 - 314. Suppose d(b) = 0. Calculate b.
-13, 0, 2
Let r = 89153/14 - 12665/2. Let o = -35 + r. Factor -6/7*d**4 + 0 + 0*d + o*d**3 + 2/7*d**2.
-2*d**2*(d - 1)*(3*d + 1)/7
Let c(f) = -5*f. Let i(l) = l**2 - 37*l + 61. Let g(b) = -5*c(b) - i(b). Factor g(a).
-(a - 61)*(a - 1)
Let s(j) = -238*j + 1190. Let v be s(5). Factor -4/3*d**3 + 2/9*d**4 - 8/9*d + 2*d**2 + v.
2*d*(d - 4)*(d - 1)**2/9
Let t(f) be the third derivative of -f**6/60 + f**5/15 - f**4/12 + 10*f**2 + 2. Factor t(w).
-2*w*(w - 1)**2
Let c be 6/(-10) - 6/15. Let q be ((-4)/(-10))/((-6)/(-35)) + c. Factor q*b**3 + 2/3*b**2 + 0 - 2*b**4 + 0*b.
-2*b**2*(b - 1)*(3*b + 1)/3
Suppose 12 = -6*i + 12*i. Suppose -21*h = -16*h + w - 4, 0 = h + i*w - 8. Factor -2/7*n**3 + 0*n - 4/7*n**2 + h + 2/7*n**4.
2*n**2*(n - 2)*(n + 1)/7
Determine j so that 0*j**2 + 0 - 2/3*j**3 + 6*j = 0.
-3, 0, 3
Let k(y) be the second derivative of -2/15*y**4 - 1/105*y**7 - 4/75*y**6 + 0 - 1/15*y**3 - 3/25*y**5 - 5*y + 0*y**2. Suppose k(w) = 0. Calculate w.
-1, 0
Let r = 12/103 + -435/6386. Let s = 1727/186 + r. What is n in 20*n**2 - 12*n**3 - s*n + 4/3 = 0?
1/3, 1
Suppose -24 - 3*b + 3/4*b**2 = 0. Calculate b.
-4, 8
Let y = 108/7 - 526/35. Let d(o) be the second derivative of 1/50*o**5 + 0 + 7/20*o**4 - 7/150*o**6 + y*o**2 - 2/3*o**3 - o. Solve d(c) = 0.
-2, 2/7, 1
Determine k so that 7*k - 121*k**2 + 3*k + 54*k**2 + 62*k**2 = 0.
0, 2
Let t(n) be the second derivative of -3/5*n**2 - 1/10*n**3 + 3/100*n**5 + 1/10*n**4 + 0 - n. Factor t(u).
3*(u - 1)*(u + 1)*(u + 2)/5
Let i(p) = -p**4 + 2*p**2 - 2*p. Let o(r) = -16*r**4 - 20*r**3 + 12*r**2 + 12*r + 8. Let x(h) = 4*i(h) - o(h). Factor x(s).
4*(s - 1)*(s + 1)**2*(3*s + 2)
Let s = -30622 - -30622. Factor 0 + s*h - 2/11*h**2 + 2/11*h**3.
2*h**2*(h - 1)/11
Solve 154 + 180 - 334 + 16*t**2 - t**3 = 0.
0, 16
Let p(d) = d**4 + 2*d**3 + d**2 - d - 1. Let u(g) = 4*g**4 + 4*g**3 - 4*g**2 - 7*g - 3. Let j(o) = -3*p(o) + u(o). Solve j(x) = 0 for x.
-1, 0, 4
Let i(p) = -p**2 + 7*p + 26. Let q be i(10). Let d be q + 11/2 - 1. Solve -d + 3/2*v - v**2 = 0 for v.
1/2, 1
Let y(d) be the second derivative of d**7/441 + d**6/9 - 5*d**5/7 + 115*d**4/63 - 155*d**3/63 + 13*d**2/7 - 341*d. Factor y(q).
2*(q - 1)**4*(q + 39)/21
Let i(l) be the second derivative of -l**4/8 + 26*l**3/3 - 17*l**2 + 10*l - 2. Factor i(s).
-(s - 34)*(3*s - 2)/2
Let j = -41/208 + 621/1040. Factor 0 + 2*y + j*y**2.
2*y*(y + 5)/5
Let l(n) be the third derivative of -n**5/450 - n**4/45 - n**3/15 - 654*n**2. Determine z, given that l(z) = 0.
-3, -1
