z**2 = 0?
-2, -1/2
Factor -165*h - 39*h**2 - 223 - 75*h**3 + 41*h**3 + 31*h**3 - 2.
-3*(h + 3)*(h + 5)**2
Let o(f) be the third derivative of -f**6/15 + 9*f**5/5 + 22*f**4/3 + 10*f**3 - 14*f**2 - 20*f. Factor o(s).
-4*(s - 15)*(s + 1)*(2*s + 1)
Let k = -1286 + 1290. Determine n, given that 0*n**3 - 2/3*n**k + 0*n + 0 + 2/3*n**2 = 0.
-1, 0, 1
Let r(t) be the third derivative of -4*t**2 + 3/10*t**5 + 15/8*t**4 + 4*t**3 + 0 - 1/40*t**6 + 0*t. Factor r(h).
-3*(h - 8)*(h + 1)**2
Let j(o) be the second derivative of -1/2*o**3 - 43*o + 1/8*o**4 + 0 - 1/28*o**7 + 9/40*o**5 + 0*o**2 - 1/20*o**6. Determine v, given that j(v) = 0.
-2, -1, 0, 1
Let r = 178 - 84. Let a = r - 466/5. Solve -2/5*p**2 + 0*p - a*p**5 + 6/5*p**4 + 0*p**3 + 0 = 0 for p.
-1/2, 0, 1
Suppose 6 = o + o + 4*w, 0 = -2*o - 5*w + 6. Suppose -s - o*s = -8. Determine f so that -32*f**3 - 2*f**2 - 4*f + 14*f**2 - 23*f**4 + 10*f**s + 37*f**4 = 0.
0, 2/7, 1
Let n(h) be the second derivative of 1/15*h**3 - 1/30*h**4 + 0 - h + 2/5*h**2. Factor n(j).
-2*(j - 2)*(j + 1)/5
Let b be 8/12 - 10/(-3). Find g, given that -b*g**2 + 9*g**2 + 4*g - 9*g**2 = 0.
0, 1
Let c(m) = m**2 + 7*m + 11. Let v be c(-6). Let x be ((-135)/(-12))/v - (-4)/(-16). Factor -2/7*j**x + 4/7*j + 0.
-2*j*(j - 2)/7
Suppose -3*m + 0*m + 489 = 3*w, -5*w + 2*m = -836. Let g = 333/2 - w. Find k, given that g*k**3 + 1/2*k + k**2 + 0 = 0.
-1, 0
Factor 40 - 36*n - 13*n - 35*n + 126*n - 2*n**3.
-2*(n - 5)*(n + 1)*(n + 4)
Let r(i) be the second derivative of 0 - 2/7*i**7 + 6/5*i**5 - 16*i + 2/15*i**6 - 2/3*i**4 - 2*i**3 + 2*i**2. Let r(v) = 0. What is v?
-1, 1/3, 1
Let t(z) be the second derivative of 7*z + 0*z**2 - 1/30*z**4 + 2/15*z**3 + 1/75*z**6 + 0 - 1/25*z**5. Suppose t(b) = 0. Calculate b.
-1, 0, 1, 2
Let v(r) be the first derivative of r**5/25 - r**4/4 + 7*r**3/15 - 3*r**2/10 - 576. Determine m so that v(m) = 0.
0, 1, 3
Let b = -8 + 10. Let l(o) be the first derivative of -6 + 0*o - 1/2*o**b + 1/6*o**3. What is u in l(u) = 0?
0, 2
Let r(v) = 10*v**2 + 6*v - 5. Let p = 54 + -52. Let k(z) = -2*z**2 - z + 1. Let d(f) = p*r(f) + 11*k(f). Factor d(h).
-(h - 1)*(2*h + 1)
Let n(z) be the third derivative of -z**5/60 + 5*z**4/12 + 11*z**3/6 + 12*z**2. Factor n(u).
-(u - 11)*(u + 1)
Factor -4*f**2 + 33*f**3 - 68*f**3 + 8*f + 31*f**3.
-4*f*(f - 1)*(f + 2)
Let i(q) be the second derivative of 5/2*q**2 + 5/12*q**4 + 0 + 3*q + 5/3*q**3. Factor i(g).
5*(g + 1)**2
Let d = -18 - -10. Let r = d - -11. Factor 4*l**r - l + 3 - 3*l**5 - 1 - 4*l**2 + 4*l**4 - l**2 - l**2.
-(l - 1)**3*(l + 1)*(3*l + 2)
Let s(z) be the first derivative of -z**6/15 + 12*z**5/25 - 9*z**4/10 + 8*z**3/15 - 19. Factor s(x).
-2*x**2*(x - 4)*(x - 1)**2/5
Let m(p) be the second derivative of p**6/20 + 63*p**5/20 + 517*p**4/8 + 399*p**3 + 1083*p**2 + 979*p. Factor m(w).
3*(w + 2)**2*(w + 19)**2/2
Let a(g) be the third derivative of -g**5/30 + 11*g**4/3 - 484*g**3/3 + 95*g**2. Factor a(h).
-2*(h - 22)**2
Let x(m) = m**2 + 2*m - 11. Let g be x(-5). Factor -2*q**2 + 1839*q + g + 2*q**2 + 2*q**3 - 1845*q.
2*(q - 1)**2*(q + 2)
Suppose 220/7*j**2 + 0 + 100/7*j + 156/7*j**3 + 36/7*j**4 = 0. What is j?
-5/3, -1, 0
Let j(r) be the third derivative of r**8/84 + 2*r**7/15 + 8*r**6/15 + 8*r**5/15 - 8*r**4/3 - 32*r**3/3 + 261*r**2. Factor j(s).
4*(s - 1)*(s + 2)**4
Let d(t) be the first derivative of -5/3*t**3 + 1/900*t**6 - 4 + 1/150*t**5 + 0*t**2 + 0*t + 0*t**4. Let b(j) be the third derivative of d(j). Factor b(m).
2*m*(m + 2)/5
Let m(s) = -s**3 - 18*s**2 - 18*s - 15. Let y be m(-17). Let b(q) be the first derivative of 0*q + 1/16*q**4 + 1/3*q**3 + 5 + 1/2*q**y. Let b(p) = 0. What is p?
-2, 0
Let b(d) be the first derivative of d**6/1440 - d**5/60 + d**4/6 + d**3 - 3. Let y(h) be the third derivative of b(h). Solve y(m) = 0.
4
Let w(g) be the third derivative of -g**7/1680 + g**6/480 + g**5/40 - 5*g**4/24 + 14*g**2. Let a(t) be the second derivative of w(t). Factor a(o).
-3*(o - 2)*(o + 1)/2
Find w such that 7139 + 66*w**2 - 62*w**2 + 161*w + 12461 + 399*w = 0.
-70
Let f(l) be the first derivative of -l**5/15 + l**4/12 + 4*l**3/3 + 2*l**2/3 - 16*l/3 + 129. Find y, given that f(y) = 0.
-2, 1, 4
Let l(m) be the second derivative of 27*m**6/40 + 3*m**5/80 - 27*m**4/16 - m**3/8 + 105*m. What is d in l(d) = 0?
-1, -1/27, 0, 1
Let g(p) = -p**5 + 46*p**4 + 165*p**3 + 281*p**2 + 214*p + 63. Let j(m) = m**5 - 2*m**4 + m**3 + m**2 - 1. Let b(y) = g(y) + 3*j(y). Factor b(c).
2*(c + 1)**3*(c + 2)*(c + 15)
Let t(y) be the first derivative of 2*y**7/105 + y**6/10 - 4*y**5/15 + y**2/2 - 26*y - 10. Let z(r) be the second derivative of t(r). Let z(d) = 0. Calculate d.
-4, 0, 1
Let s(o) = 8*o**4 + 8*o**3 + 60*o**2 + 107*o + 40. Let f(d) = -d**4 + d**3 + d**2 - 2*d. Let y(a) = -7*f(a) - s(a). Factor y(x).
-(x + 1)**2*(x + 5)*(x + 8)
Suppose -3*x = 4*q + 10, -4*x + 12 = 5*q - 6*q. Solve 3*i**3 - 2*i**3 + 29 + i**x - 29 = 0.
-1, 0
Let i = -12685 - -12688. Let l be 64/30 - 2/1. What is k in -2/15*k + l + 2/15*k**i - 2/15*k**2 = 0?
-1, 1
Factor -o**3 + 234/5 + 83/5*o**2 - 51*o - 1/5*o**4.
-(o - 3)**2*(o - 2)*(o + 13)/5
Let x(q) = q + 29. Let o be x(-21). Let h be (((-30)/8)/(-15))/(13/o). Determine z, given that -2/13*z - h*z**2 + 4/13 = 0.
-2, 1
Let q = -285 - -287. Let o(x) be the second derivative of -1/8*x**4 + 3/4*x**q + 2*x + 0 + 0*x**3. Factor o(m).
-3*(m - 1)*(m + 1)/2
Suppose 8*d - 11*d = -5*m + 4, 5*d + 5*m = 60. Let j(p) = -p**3 + 9*p**2 - 12*p - 12. Let g be j(d). Factor -8/13 + 16/13*v - 6/13*v**g.
-2*(v - 2)*(3*v - 2)/13
Let p(u) be the third derivative of -u**8/112 - u**7/35 + 39*u**6/40 - 17*u**5/5 + 4*u**4 - 2*u**2 - 69*u. Let p(o) = 0. What is o?
-8, 0, 1, 4
Let b be 24/(-10)*310/(-124). Let c(v) be the third derivative of 0 + 8*v**2 - 1/21*v**3 - 1/28*v**4 + 0*v - 1/420*v**b - 1/70*v**5. Factor c(p).
-2*(p + 1)**3/7
Let i(z) = -2*z**4 - z**3 + 18*z**2 - 2*z - 16. Let m(n) = 2*n**4 - 16*n**2 + 4*n + 16. Let b(j) = 2*i(j) + 3*m(j). Solve b(g) = 0 for g.
-2, -1, 2
Suppose n + 3*n - 12 = b, 4*n - 4*b = 24. Let 1/5*v**3 - 3/5*v**n + 0 + 2/5*v = 0. What is v?
0, 1, 2
Factor 2/13*q**3 - 14/13*q**2 + 20/13*q + 0.
2*q*(q - 5)*(q - 2)/13
Let a be (1 + 3)*(-1 - -2). Let s be 1 + -2 + (a - 1). Determine w, given that 0*w**s - 3*w**3 + 0*w**2 + 1 - 2*w**4 + w**2 + 3*w + 0 = 0.
-1, -1/2, 1
Let f(r) be the second derivative of r**6/288 - r**5/24 + 5*r**4/24 + 3*r**3/2 - 18*r. Let y(n) be the second derivative of f(n). Factor y(l).
5*(l - 2)**2/4
Let r(f) be the third derivative of -f**8/2856 + f**7/357 - f**6/340 - f**5/102 + f**4/51 + 81*f**2. Suppose r(i) = 0. What is i?
-1, 0, 1, 4
Factor 3/7*k**3 + 1/7*k**4 + 0*k**2 - 4/7*k + 0.
k*(k - 1)*(k + 2)**2/7
Let f(n) = 16*n + 28. Let j(d) = d**2 + 49*d + 81. Let q(x) = 13*f(x) - 4*j(x). What is s in q(s) = 0?
-2, 5
Let a(p) = 13*p**5 + 4*p**4 - 15*p**3 + 6*p**2 - 4*p - 4. Let y(x) = 2*x**5 + x**4 - x**2 - x - 1. Let k(i) = -a(i) + 4*y(i). Find f such that k(f) = 0.
-2, 0, 1
Let f(u) = -u**3 - 19*u**2 - 17*u + 21. Let w be f(-18). Determine d, given that -3*d**5 - 6*d**3 + 8*d**w + 3*d**4 + 7*d**5 - 3*d**5 = 0.
-2, -1, 0
Let f be (-14)/35 + (-7)/(315/(-68)). Let t(p) be the first derivative of -4/3*p - 1 + 7/3*p**2 - f*p**3. Factor t(j).
-2*(j - 1)*(5*j - 2)/3
Let i = -62 + 66. Factor 5*y**2 - 3*y**i + 5*y**4 - 4*y**3 - y**4 - 2*y.
y*(y - 2)*(y - 1)**2
Suppose 55*z - 22 = 44*z. Let 0 + 3/2*a**5 + 0*a**3 + 3*a**4 - 3*a**z - 3/2*a = 0. What is a?
-1, 0, 1
Suppose -900*r + 904*r - 4*m = 44, -2*r = 2*m + 2. Find i, given that 16/7*i**3 - 10/7*i**4 + 0*i - 8/7*i**2 + 2/7*i**r + 0 = 0.
0, 1, 2
Solve 2/7*c**2 + 0*c + 2/7*c**3 + 0 = 0 for c.
-1, 0
Let l = -741 - -743. Let z(k) be the first derivative of 0*k + 0*k**l + 2*k**3 - 4 + 3/4*k**4. Solve z(x) = 0.
-2, 0
Factor -972*i + 858*i + 3*i**2 + 1083 + 0*i**2.
3*(i - 19)**2
Let i(m) be the third derivative of m**8/84 + 13*m**7/42 - 71*m**6/30 + 317*m**5/60 - 31*m**4/12 - 20*m**3/3 - 272*m**2. Solve i(j) = 0 for j.
-20, -1/4, 1, 2
Factor r**2 + 4703 - 113*r + 2326 + 8347 + 361*r.
(r + 124)**2
Let n(z) be the third derivative of z**7/350 - 23*z**6/600 - 2*z**5/15 + 3*z**4/10 + 28*z**2 + 2. Solve n(y) = 0.
-2, 0, 2/3, 9
Let o = 4220 - 4160. Let 75/2 + 9*f**2 + o*f + 3/2*f**4 - 12*f**3 = 0. What is f?
-1, 5
Suppose 12