35*s(k). What is x in v(x) = 0?
-1, 12
Let a = -74 + 73. Let r be (a - 123/(-24)) + -4. Factor -1/8*o**3 + 0 + r*o - 1/8*o**2 + 1/8*o**4.
o*(o - 1)**2*(o + 1)/8
Factor 6*k - 2*k - 17*k - 11*k + 3*k**2 - 6*k.
3*k*(k - 10)
Suppose 0 = 5*z + 4*a + 65, -3*a + 30 = -5*z - 0*z. Let r = z - -14. Factor 5*c**r - 4*c**5 - 2*c**3 + c**5.
2*c**3*(c - 1)*(c + 1)
Let t(c) be the second derivative of -c**6/30 - 11*c**5/20 + 13*c**4/12 + 11*c**3/6 - 6*c**2 + 99*c. Factor t(w).
-(w - 1)**2*(w + 1)*(w + 12)
Let w(q) = -q**3 - 5*q**2 + 7*q - 1. Let p be w(-5). Let o = p + 38. Solve -k**4 + 5*k**3 - o*k**3 + 3*k**4 - 3*k**4 = 0 for k.
0, 3
Let x(i) = -i - 20. Let a be x(-7). Let g = -11 - a. Factor 2*y - 8*y**2 + 5 + g*y**3 - 6*y**3 - 2*y**3 - 1.
-2*(y + 1)**2*(3*y - 2)
Let j(h) be the third derivative of -h**6/96 - 3*h**5/16 - 5*h**4/4 - 10*h**3/3 + 2*h**2 - 146*h. Determine d, given that j(d) = 0.
-4, -1
Let x(f) = 6*f**5 - f**4 + 3*f**3 + 3*f**2 - 6*f - 6. Let i(l) = l**5 + l**4 + l**3 + l**2 - 2*l - 2. Let s(j) = 3*i(j) - x(j). Factor s(k).
-k**4*(3*k - 4)
Let p be 4 - (-1)/1 - -1. Solve 2*h**4 - h**2 - 3*h**4 - 4*h**2 + p*h**4 = 0.
-1, 0, 1
Let d be (4/5 + 0)/((-12)/(-20)). Factor -d + 4/3*t - 1/3*t**2.
-(t - 2)**2/3
Factor 0 - 14/5*p**3 + 0*p**2 - 2/5*p**4 + 0*p.
-2*p**3*(p + 7)/5
Let z be -1*3*77/(-33). Factor -14*h**3 - h**2 + 6*h**4 + z*h**2 + 7*h**2 - 9*h**2.
2*h**2*(h - 2)*(3*h - 1)
Let v(r) = r**2 + 1. Let i(m) = 0 + 33 - m**2 - 6*m**2 + 12*m + 5*m**2. Let g(b) = -i(b) - 3*v(b). Factor g(d).
-(d + 6)**2
Find n, given that -21*n**2 + 3*n**4 + 110*n**3 - 299*n**3 + 97*n**3 + 110*n**3 = 0.
-7, 0, 1
Let f(u) = -2*u**3 - u**2 + u - 1. Let k(x) = -45*x**3 - 70*x**2 + 140*x - 100. Let j(s) = -25*f(s) + k(s). Factor j(l).
5*(l - 5)*(l - 3)*(l - 1)
Suppose -17 = -4*x + 3. Let m(k) = 2*k**3 - 2*k**2 - 2*k - 2. Let y(a) = -2*a**3 + 3*a**2 + 2*a + 2. Let f(p) = x*m(p) + 4*y(p). Let f(z) = 0. Calculate z.
-1, 1
Suppose 133*z = 145*z. Let v(y) be the first derivative of -3/4*y**4 + 2*y**3 + z*y - 1 + 9/2*y**2. Factor v(d).
-3*d*(d - 3)*(d + 1)
Let j be 37/((-148)/(-24)) + (1 + 1 - 5). Factor -2*b - 7/2*b**4 - 23/2*b**j + 0 - 10*b**2.
-b*(b + 1)*(b + 2)*(7*b + 2)/2
Let k = 2 - 0. Factor -2*r**k - 15*r**4 + 4*r**3 + 5*r**3 + 0*r**2 + 8*r**2.
-3*r**2*(r - 1)*(5*r + 2)
Suppose 181*v = 192*v. Factor 0*b + 2/13*b**4 + v + 0*b**3 - 2/13*b**2.
2*b**2*(b - 1)*(b + 1)/13
What is w in 18*w**5 - 9*w**5 - 16*w**3 - 11*w**5 - 14*w**3 + 16*w**4 = 0?
0, 3, 5
Let 112/11*f + 0 + 680/11*f**2 + 636/11*f**3 - 1330/11*f**4 - 98/11*f**5 = 0. Calculate f.
-14, -2/7, 0, 1
Let x(v) be the third derivative of -v**7/42 - v**6/3 - 11*v**5/12 + 25*v**4/6 - 27*v**2 + 5*v. Factor x(g).
-5*g*(g - 1)*(g + 4)*(g + 5)
Let x be (-721)/105 + (-2)/15. Let q be -3*(182/6)/x. Solve 8*v + q*v**4 + 10*v**4 + 28*v**2 - 3*v**4 + 4*v**5 + 36*v**3 = 0.
-2, -1, 0
Find m, given that -48*m**2 - 3/2*m**3 - 1176 - 462*m = 0.
-14, -4
Suppose -306*q**3 - 3*q**5 + 481*q**3 - 33*q**4 - 42*q**2 + 105*q + 75 - 277*q**3 = 0. What is q?
-5, -1, 1
Let i be (-2246)/(-50) - 6/(-75). Let c = i + -42. Factor -6/5 + 21/5*t - c*t**2.
-3*(t - 1)*(5*t - 2)/5
Let p(b) = -11*b**4 - 79*b**3 - 449*b**2 - 741*b. Let h(q) = -10*q**4 - 80*q**3 - 450*q**2 - 740*q. Let t(m) = -6*h(m) + 5*p(m). Factor t(a).
5*a*(a + 3)*(a + 7)**2
Let s(g) be the first derivative of 4/15*g**3 + 8/5*g + 6/5*g**2 + 21. Suppose s(f) = 0. What is f?
-2, -1
Let s = -4889 + 14671/3. Factor 4/3 - s*l + 1/3*l**2.
(l - 2)**2/3
Let a = 258 - 231. Suppose -2*d + d = a*d. Find i such that d*i**2 - 4/7*i**3 + 0*i + 0 + 2/7*i**4 = 0.
0, 2
Suppose 2 = 3*p + 2*a - 3*a, -4*p = -3*a + 4. Suppose -p*m + 12 = -54. Factor -m*q**3 + 2 - 1 + 2 - 2*q - 12*q**4 - q - 27*q**2.
-3*(q + 1)**3*(4*q - 1)
Let w(y) be the first derivative of -4*y**3/3 + 44*y**2 - 84*y + 448. Determine q, given that w(q) = 0.
1, 21
Let g(m) be the third derivative of -1/36*m**6 + 0*m + 5/36*m**4 - 1/9*m**3 - 21*m**2 + 0 - 1/30*m**5 + 4/315*m**7. What is x in g(x) = 0?
-1, 1/4, 1
Let f(b) = b**5 + 4*b**4 + 2*b**3 - 3*b**2 - 3*b - 1. Let w be 4*(20/(-4) + 4). Let n(r) = r**4 + r**3 - r - 1. Let s(v) = w*n(v) + 4*f(v). Factor s(l).
4*l*(l - 1)*(l + 1)**2*(l + 2)
Factor 6*q + 5*q**3 - 3*q**3 + 2 - 91*q**2 + 97*q**2.
2*(q + 1)**3
Let q(s) be the second derivative of -s**8/420 + s**7/210 + s**6/90 - s**5/30 + 16*s**3/3 + 21*s. Let f(j) be the second derivative of q(j). Factor f(g).
-4*g*(g - 1)**2*(g + 1)
Let r be ((-207)/(-345))/((-8)/(-10)). Factor -3/4*m + 1/4*m**4 - 1/2 + r*m**3 + 1/4*m**2.
(m - 1)*(m + 1)**2*(m + 2)/4
Let o = 4 - -5. Let a(s) = -s**2 + 8*s + 12. Let u be a(o). What is q in u*q + 0 + 3/2*q**3 + 9/2*q**2 = 0?
-2, -1, 0
Factor 7/2*d - 2 + d**2.
(d + 4)*(2*d - 1)/2
Factor -1/3 - 350/3*p - 349/3*p**2.
-(p + 1)*(349*p + 1)/3
Let u = 2559/190 + 3/95. Let s be (-63)/35*30/(-4). What is r in 3*r**2 + u*r**3 - s*r - 3 = 0?
-1, -2/9, 1
What is g in 0 - 64*g - 236/3*g**3 - 28/3*g**4 - 544/3*g**2 = 0?
-4, -3/7, 0
Let o(l) be the first derivative of l**6/42 - 2*l**5/35 - 5*l**4/14 + 8*l**3/21 + 33*l**2/14 + 18*l/7 + 293. Find r such that o(r) = 0.
-2, -1, 3
Let t(n) be the first derivative of -2*n**3/21 - 26*n**2/7 - 338*n/7 - 66. Factor t(j).
-2*(j + 13)**2/7
Factor 8*d**3 - 11*d**3 + 5*d**2 - d**4 + 3*d + 4*d**3.
-d*(d - 3)*(d + 1)**2
Let f(u) be the third derivative of u**6/630 - u**5/105 + u**4/42 - 2*u**3 - 15*u**2. Let x(t) be the first derivative of f(t). Solve x(d) = 0 for d.
1
Let s(j) be the third derivative of j**8/50400 + j**7/12600 + 17*j**5/60 - 11*j**2. Let d(a) be the third derivative of s(a). Factor d(h).
2*h*(h + 1)/5
Let c(k) be the first derivative of 40*k + 10*k**2 - 25/4*k**4 + 17 - 10*k**3 - k**5. What is g in c(g) = 0?
-2, 1
Let 2/3*q**4 + 0*q + 0 + 2*q**3 - 8/3*q**2 = 0. Calculate q.
-4, 0, 1
Let p(s) be the first derivative of s**4/14 - 10*s**3/21 - 6*s**2/7 - 207. What is v in p(v) = 0?
-1, 0, 6
Solve -4/3*s + 2/5*s**2 - 16/15 + 8/15*s**3 - 2/15*s**4 = 0 for s.
-1, 2, 4
Let p = 55 - 50. Let 60*a + 4*a**2 - 30*a - 4 - 34*a - p*a**2 = 0. What is a?
-2
Let v(z) be the first derivative of 0*z + 2/9*z**3 + 3*z**2 + 1/30*z**5 - 1/4*z**4 + 6 + 1/45*z**6. Let d(l) be the second derivative of v(l). Factor d(w).
2*(w - 1)*(w + 2)*(4*w - 1)/3
Let z(c) be the first derivative of 2/45*c**5 + 0*c - 8/27*c**3 - 24 + 1/18*c**4 - 4/9*c**2. Factor z(g).
2*g*(g - 2)*(g + 1)*(g + 2)/9
Let g(d) be the third derivative of d**8/6720 - d**7/280 + 3*d**6/80 + 17*d**5/30 + 12*d**2. Let n(l) be the third derivative of g(l). Factor n(v).
3*(v - 3)**2
Let y(s) = -3*s**2 + 9*s - 1. Let m(k) = -k**2 + 4*k - 1. Suppose 0 = -5*q + 4*c + 16, -2*c + 6 = -4*q + 5*q. Let a(w) = q*y(w) - 10*m(w). Factor a(x).
-2*(x - 1)*(x + 3)
Let s = 52 - 51. Let x(a) = 5*a**3 - a**2 - 5*a + 1. Let o(w) = -w**3 + w. Let d(j) = s*x(j) + 4*o(j). What is p in d(p) = 0?
-1, 1
Let m(c) be the first derivative of 1/4*c - 1/8*c**4 + 1/6*c**3 - 1/24*c**6 - 3/20*c**5 + 9 + 3/8*c**2. Factor m(o).
-(o - 1)*(o + 1)**4/4
Let o(p) = -11*p**4 - 14*p**3 + 60*p**2 + 48*p + 5. Let z(y) = 5*y**4 + 5*y**3 - 30*y**2 - 24*y - 2. Let j(r) = -2*o(r) - 5*z(r). Suppose j(x) = 0. What is x?
-2, -1, 0, 4
Factor -d**2 - 1/4*d**3 - 3/4*d + 0.
-d*(d + 1)*(d + 3)/4
Let i(s) be the first derivative of s**5/5 + 27*s**4/5 - 44*s**3/15 - 593. Suppose i(f) = 0. What is f?
-22, 0, 2/5
Let s = -34177 + 68355/2. Factor -7/2*k + s*k**2 + 0.
k*(k - 7)/2
Let t(z) be the first derivative of -z**6/15 + z**5/5 + z**4/2 - 4*z**3/3 - 4*z**2 - 38*z + 23. Let q(b) be the first derivative of t(b). Factor q(l).
-2*(l - 2)**2*(l + 1)**2
Let n(s) be the third derivative of 13/12*s**5 + 5/2*s**4 + 0 + 1/4*s**6 + 0*s + 10/3*s**3 + 1/42*s**7 - 14*s**2. What is h in n(h) = 0?
-2, -1
Let u be ((-3)/27)/(164/(-3198)). What is r in 2*r - 1/6*r**4 - u*r**2 - 2/3 + r**3 = 0?
1, 2
Factor 0 + 0 + k**2 + 292*k - 275*k + 0.
k*(k + 17)
Let l = -440 + 442. Let c(g) be the second derivative of -5*g + 1/4*g**4 - 1/2*g**3 + 0*g**l + 0. What is i in c(i) = 0?
0, 1
Let h(k) be the second derivative of -k**6/25 + 31*k**5/100 + 31*k**4/60 - k**3/5 - 75*k + 1. What is q in h(q) = 0?
-1, 0, 1/6, 6
Let x(b) = 8*b**3 - 8*b**2 - 12*b + 17. Let u = -4 + 0. Let z(g) = -7*g**3 + 7*g**2 + 12*g - 16. Let a(p) =