k be 7/28 + (-2)/q. Factor k + 1/4*p**2 - 1/4*p**3 + 0*p.
-p**2*(p - 1)/4
Let u(o) = 6*o**5 + 12*o**4 + 3*o**3 - 3*o**2 + 3. Let h(b) = -7*b**5 - 13*b**4 - 2*b**3 + 4*b**2 - 4. Let z(g) = -3*h(g) - 4*u(g). Factor z(f).
-3*f**3*(f + 1)*(f + 2)
Let x(j) be the first derivative of -j**6/660 + j**2/2 - 1. Let b(s) be the second derivative of x(s). What is a in b(a) = 0?
0
Factor 14/13*y - 6/13 - 10/13*y**2 + 2/13*y**3.
2*(y - 3)*(y - 1)**2/13
Let c(i) be the second derivative of -i**6/105 + i**5/70 + 20*i. Factor c(x).
-2*x**3*(x - 1)/7
Let b(h) be the second derivative of h**6/2 + h**5 - 55*h**4/12 - 40*h**3/3 - 10*h**2 + 19*h. Suppose b(k) = 0. What is k?
-2, -1, -1/3, 2
Let l(y) = -y**2 + 12*y - 2. Let t(q) = -16*q + 4 - 10*q + q**2 + q. Let i(v) = 7*l(v) + 3*t(v). Factor i(x).
-(x - 2)*(4*x - 1)
Let f be (-2 + (-3)/(-2))*-1. Suppose -1/2*z + 0 - 1/2*z**2 + f*z**3 + 1/2*z**4 = 0. Calculate z.
-1, 0, 1
Let r be -4*(-6)/9 - (-12)/(-18). Suppose 0 + 2/5*h - 8/5*h**r + 6/5*h**3 = 0. What is h?
0, 1/3, 1
Let i(y) be the first derivative of -y**3/2 + 3*y/2 - 2. Solve i(g) = 0 for g.
-1, 1
Suppose 0 = 5*n + 2*r + 14, 13 = -3*n - 5*r - 3. Let q be (3 + n)/((-1)/(-2)). Find b such that -b + 3*b**2 + 3*b - 5*b**q = 0.
0, 1
Let q(r) be the third derivative of -r**5/420 + r**3/42 + 35*r**2. Factor q(v).
-(v - 1)*(v + 1)/7
Let h = 4/9 - 1/9. Let w be 4/(3 + (-5)/5). Factor h + 4/3*y**w - 5/3*y.
(y - 1)*(4*y - 1)/3
Let l(w) be the first derivative of -1/12*w**4 - 2/9*w**3 - 1/2*w**2 - 1 - 1/90*w**5 + 0*w. Let a(d) be the second derivative of l(d). Factor a(u).
-2*(u + 1)*(u + 2)/3
Factor -1/8*d**3 + 0*d**2 - 3/4 + 7/8*d.
-(d - 2)*(d - 1)*(d + 3)/8
Let p = 38 - 36. Suppose -5*l + p*l + 9 = 0. Factor 1/2 + l*s**2 + 1/2*s**4 - 2*s - 2*s**3.
(s - 1)**4/2
Solve 4/19*w**2 + 0 + 0*w - 2/19*w**3 + 2/19*w**5 - 4/19*w**4 = 0 for w.
-1, 0, 1, 2
Let g(i) be the second derivative of i**6/90 + i**5/15 + 5*i**4/36 + i**3/9 + 2*i. Let g(j) = 0. Calculate j.
-2, -1, 0
Let r(b) be the third derivative of -b**8/168 + b**7/21 - 7*b**6/60 - b**5/30 + 2*b**4/3 - 4*b**3/3 + 3*b**2. What is q in r(q) = 0?
-1, 1, 2
Let j(s) be the third derivative of 3*s**6/320 - s**5/160 - 3*s**4/64 + s**3/16 - 18*s**2. Factor j(m).
3*(m - 1)*(m + 1)*(3*m - 1)/8
Find p, given that -8*p**2 - 8*p**2 + 0*p**5 + 15*p**2 - p**5 - 3*p**3 - 3*p**4 = 0.
-1, 0
Let n(y) be the first derivative of y**7/3780 - y**6/324 + 2*y**5/135 - y**4/27 - 2*y**3/3 - 3. Let z(q) be the third derivative of n(q). Factor z(x).
2*(x - 2)**2*(x - 1)/9
Suppose 0 = 16*g - 2*g. Factor 0*m**2 + 0 + 3/2*m**5 - 3/4*m**4 + g*m - 3/4*m**3.
3*m**3*(m - 1)*(2*m + 1)/4
Let h = 4/15 + 2/15. Suppose 0 = -4*z + 2*z. Factor 0 + z*v - 2/5*v**2 + h*v**3.
2*v**2*(v - 1)/5
Let k = -1015/9 - -113. Let u = 1 - -2. Solve -4/9*f**u + k + 2/9*f**4 + 2/9*f**5 + 2/9*f - 4/9*f**2 = 0.
-1, 1
Let b(q) be the first derivative of -q**8/2240 - q**7/1120 + 2*q**3/3 - 1. Let s(a) be the third derivative of b(a). Determine g so that s(g) = 0.
-1, 0
Let s be 4/(-8)*1*-4. Factor 0*t**2 + 3*t**3 - 3*t**5 + 4*t**4 + 3*t**s - 7*t**4.
-3*t**2*(t - 1)*(t + 1)**2
Let z be ((-12)/(-175))/(8/28). Let y(q) be the first derivative of 1/15*q**6 - 2/5*q - 4/15*q**3 - 3/5*q**2 + z*q**5 + 2 + 1/5*q**4. What is k in y(k) = 0?
-1, 1
Let r(s) be the first derivative of -s**4 + 48*s**3 - 864*s**2 + 6912*s + 4. Find a such that r(a) = 0.
12
Let p(h) be the second derivative of -h**6/120 + h**4/24 + 3*h**2/2 - 3*h. Let c(r) be the first derivative of p(r). Factor c(d).
-d*(d - 1)*(d + 1)
Let a = 27/43 - 1473/86. Let u = a - -75/4. Determine z so that -3/2*z + u + 1/4*z**2 = 0.
3
Let x(z) be the third derivative of -z**7/63 + 7*z**6/180 - z**5/45 + 6*z**2 + 3*z. Factor x(b).
-2*b**2*(b - 1)*(5*b - 2)/3
Find u such that 40*u**4 - 18*u**4 + 4 + 11*u - 8*u**5 - u - 2*u**3 - 26*u**2 = 0.
-1, -1/4, 1, 2
Determine n, given that -10*n**5 - 21*n**4 + 6*n**2 + 3*n + 15*n**4 + 7*n**5 = 0.
-1, 0, 1
Let s(z) be the first derivative of 0*z**3 + 9/8*z**2 - 3/2*z - 3/16*z**4 + 2. Factor s(g).
-3*(g - 1)**2*(g + 2)/4
Let n(k) = -4*k**4 - 4*k**3 + 4*k**2 + 12*k. Let l(q) = -4*q**4 - 5*q**3 + 3*q**2 + 11*q + 1. Let y(s) = 4*l(s) - 3*n(s). Factor y(v).
-4*(v - 1)*(v + 1)**3
Determine l so that -13/3*l**3 - 11/3*l**4 + 0 - 2/3*l + 11/3*l**2 + 5*l**5 = 0.
-1, 0, 1/3, 2/5, 1
Let p(a) be the second derivative of a**6/15 - 9*a**5/40 + a**4/4 - a**3/12 - 10*a. Let p(y) = 0. Calculate y.
0, 1/4, 1
Let i(p) be the first derivative of -p**3/6 - 3*p**2/8 - p/4 + 11. Factor i(s).
-(s + 1)*(2*s + 1)/4
Let i(n) = -9*n**4 - 3*n**3 + 11*n**2 + 13*n - 17. Let b(o) = -4*o**4 - 2*o**3 + 6*o**2 + 6*o - 8. Let s(h) = -5*b(h) + 2*i(h). Factor s(f).
2*(f - 1)**2*(f + 1)*(f + 3)
Suppose -3*k + 2*b - 6*b = 16, -3*k - 8 = 2*b. Factor k + 1/3*y**4 - 1/3*y**3 + 1/3*y - 1/3*y**2.
y*(y - 1)**2*(y + 1)/3
Suppose -22 - 72 = -3*n + z, -n = -3*z - 26. Let h = n - 27. Solve 0 - 6/5*y**4 - 4/5*y**h + 0*y - 2/5*y**3 + 0*y**2 = 0.
-1, -1/2, 0
Let n = -6 - 1. Let x = 9 + n. Let -4/5 + 2/5*h + 2/5*h**x = 0. What is h?
-2, 1
Suppose 0 = -3*v + 6*v - 54. Let c be -3*1 - (-63)/v. Find a such that c*a**2 + 1/2 - a = 0.
1
Let q(s) be the second derivative of 2*s + 0*s**2 + 0 - 1/15*s**3 - 1/30*s**4. Suppose q(m) = 0. Calculate m.
-1, 0
Suppose -2*n**2 + 5/4*n**3 + 0 - 1/4*n**4 + n = 0. Calculate n.
0, 1, 2
Determine z so that -2*z - 5/2*z**2 + 1/2 = 0.
-1, 1/5
Let f(w) = 1. Let k = 1 + 0. Let a(c) = c**2 + 2*c - 2. Let r(o) = k*a(o) + 3*f(o). Determine m, given that r(m) = 0.
-1
Let a(h) be the third derivative of h**5/100 + 2*h**4/5 + 32*h**3/5 - 9*h**2. Find p such that a(p) = 0.
-8
Let l(f) be the second derivative of -f**4/28 - 7*f. Factor l(x).
-3*x**2/7
Let j(m) be the third derivative of -5*m**8/56 + 19*m**7/105 + m**6/4 - 23*m**5/30 + 4*m**3/3 + 28*m**2. What is i in j(i) = 0?
-1, -2/5, 2/3, 1
Let o(y) be the second derivative of -y**7/336 + y**6/80 - 3*y**5/160 + y**4/96 - 66*y. Suppose o(w) = 0. Calculate w.
0, 1
Let s be (2*2/12)/1. Let p be (10/(-9 - -4))/(-3). Factor 0*h**2 + p*h**4 - s*h**3 - 1/3*h**5 + 0 + 0*h.
-h**3*(h - 1)**2/3
Suppose 5*q - 44 = -2*o, -4*q - o + 28 = 3*o. Suppose -q = 4*y - 6*y. Factor 0*j - 2 - 4*j**2 + 0*j**2 + y*j + j**3 + 0*j.
(j - 2)*(j - 1)**2
Suppose -r = 2*r - 9. Let w = -5 - -7. Let -2 + 5*g + 3*g**4 + 0*g - w*g**r - 3*g**3 - g**2 = 0. What is g?
-1, 2/3, 1
Factor 2 + 2*b**2 + b**2 - 5*b**2.
-2*(b - 1)*(b + 1)
Factor -5*o**4 - 285*o**2 - 263 + 61*o**3 - 495*o - 126*o**3 - 7.
-5*(o + 1)*(o + 3)**2*(o + 6)
Let k be (35/10)/(1/2). Let m = -5 + k. Find u such that -m*u**2 - u**2 + 5*u**2 = 0.
0
Let i(l) be the third derivative of -2/9*l**3 + 0*l + 1/1008*l**8 + 19/360*l**6 - 4*l**2 + 0 - 1/90*l**7 - 5/36*l**5 + 2/9*l**4. Find d, given that i(d) = 0.
1, 2
Let y = 39 - 39. Let g be (0 - 3) + 2 + 3. Factor -1/5*x**3 + y*x**g + 0*x + 0.
-x**3/5
Let v be (-15)/(-6)*(-12)/(-10). What is f in -6*f**2 + 2*f - 16*f**3 + 4*f**2 - 22*f**4 - 8*f**5 - 2*f**v = 0?
-1, 0, 1/4
Let j(i) be the first derivative of 0*i**5 - 4 - 1/33*i**6 + 1/22*i**4 + 0*i**3 + 0*i**2 + 0*i. Solve j(d) = 0.
-1, 0, 1
Determine k so that -2/3*k**2 - 2/15*k**3 + 16/15 - 4/15*k = 0.
-4, -2, 1
Let m(q) = 5*q**2 + 10*q - 6. Let k(f) = 5*f**2 + 10*f - 7. Let t(i) = -6*k(i) + 7*m(i). Factor t(y).
5*y*(y + 2)
Let x be (-2 + 4)/(2/(-8)). Let f be (((-108)/x)/(-9))/(-3). Factor -f + 9/4*q**2 - 7/4*q.
(q - 1)*(9*q + 2)/4
Let y(m) be the second derivative of m**4/4 + 3*m**3 - 21*m**2/2 + 10*m. What is b in y(b) = 0?
-7, 1
Factor 507/2 - 75/2*r**2 - 3/2*r**3 - 429/2*r.
-3*(r - 1)*(r + 13)**2/2
Factor -11 - 3*x**2 + 18*x - 10 - 6.
-3*(x - 3)**2
Let l(v) = -v**2 - 1. Let b(z) = -10*z**2 + 3*z - 5. Let r(g) = 2*b(g) - 18*l(g). Determine u, given that r(u) = 0.
-1, 4
Let m(r) be the third derivative of -r**5/60 - r**4/6 - 2*r**3/3 - 12*r**2. Determine b so that m(b) = 0.
-2
Let b(p) = 33*p**4 + 49*p**3 - 8*p**2 - 49*p - 25. Let y(h) = -8*h**4 - 12*h**3 + 2*h**2 + 12*h + 6. Let z(c) = 2*b(c) + 9*y(c). Find u such that z(u) = 0.
-1, -2/3, 1
Suppose 3*x - 2 - 4 = 0. Let u(m) = m. Let k be u(x). Find r such that -10*r**4 + r**4 - k*r**2 - 18*r**5 + 10*r**3 + 3*r**4 = 0.
-1, 0, 1/3
Let v be 4276/(-8)*(-12)/(-21). Let r = v - -306. Find l such that -r*l**2 + 2/7