4 = 0.
-1, 1/4
Let i(r) = -15*r**2 + 30*r - 15. Let l(p) = p - 1. Let s(k) = -i(k) + 6*l(k). What is z in s(z) = 0?
3/5, 1
Let z be -4 + 6 + -1 + 1. Let j be z/2*4/2. Suppose -2/9*i**j + 0*i + 0 = 0. Calculate i.
0
Suppose 2*n - 3*r + 5 = 0, 3*n - 19 = n - 5*r. Let y(u) be the first derivative of 1/3*u**3 + n + 2*u**2 + 4*u. Let y(c) = 0. Calculate c.
-2
Let z(q) be the second derivative of 5*q**5/18 - 140*q**4/27 - 236*q**3/27 - 16*q**2/3 - 38*q. Factor z(u).
2*(u - 12)*(5*u + 2)**2/9
Suppose -2*n = -10 + 2. Let l(b) be the first derivative of -2 + 0*b + 0*b**2 + 0*b**3 + 1/18*b**n. Determine z, given that l(z) = 0.
0
Let t(w) be the third derivative of w**6/120 + w**5/10 + 3*w**4/8 + 7*w**2. Determine f so that t(f) = 0.
-3, 0
Factor -1/3*x**5 - 2/3 + 4/3*x**3 + 2/3*x**2 + 0*x**4 - x.
-(x - 2)*(x - 1)*(x + 1)**3/3
Let y = 22 + -56. Let z = y + 172/5. Factor -z*l**3 - 4/5*l + 6/5*l**2 + 0.
-2*l*(l - 2)*(l - 1)/5
Let k(s) be the third derivative of -s**7/945 + s**6/180 - s**5/90 + s**4/108 + 47*s**2. Factor k(q).
-2*q*(q - 1)**3/9
Let q be 8/((-3)/(11*-3)). Factor -20*c**2 - 16*c + q*c**2 - 100*c**3 + 12*c**2.
-4*c*(5*c - 2)**2
Let f(i) be the second derivative of i**4/72 - 7*i**3/18 + 49*i**2/12 - 29*i. Factor f(s).
(s - 7)**2/6
Let m(x) = x**3 + 5*x**2 - x + 2. Let n be m(-5). Let q(a) = -a**3 + 7*a**2 + 2*a - 10. Let o be q(n). Factor h**2 - h - 2*h**o + 0*h**5 + h**5 + h**2.
h*(h - 1)**3*(h + 1)
Let h(i) = i**3 - 6*i**2 + i + 3. Let k be h(6). Let q = k + -7. Let 1/3*y + 0 + 1/3*y**3 - 2/3*y**q = 0. What is y?
0, 1
Factor 33*c**2 - 8*c - 35*c**2 - 34*c**2 + 20*c**3.
4*c*(c - 2)*(5*c + 1)
Suppose -8 = -2*n - 2. Factor -w**2 + 3*w**3 + 2*w - 2*w**n - 2*w.
w**2*(w - 1)
Let t(c) = c**2 - 8*c + 7. Let b(o) = -o**2 + o + 1. Let g(a) = 2*b(a) + t(a). Let r be g(-7). Factor 1/5*p + 0 + 1/5*p**r.
p*(p + 1)/5
Let z(x) be the second derivative of -x**10/5040 - 11*x**9/22680 - x**8/5040 - x**4/12 - 6*x. Let m(k) be the third derivative of z(k). Factor m(c).
-2*c**3*(c + 1)*(9*c + 2)/3
Find s such that -6*s**4 + 4*s**3 - 5*s - 16*s**3 - s**5 + 2*s - 10*s**2 = 0.
-3, -1, 0
Let n(l) be the third derivative of 0*l**4 + 0*l - 3*l**2 + 0*l**3 + 0 - 1/30*l**6 + 1/84*l**8 - 1/210*l**7 + 1/60*l**5. Suppose n(t) = 0. What is t?
-1, 0, 1/4, 1
Let a(j) be the second derivative of j**5/4 + 35*j**4/24 + 5*j**3/3 - 5*j**2 - 17*j. Determine t so that a(t) = 0.
-2, 1/2
Let y be (2 + 1)*(0 + -1). Let r be (-2 - y) + 0 + 2. Let -2 + 30*h**2 - 2 - 23*h**r + 4*h - 15*h**3 - 6*h + 14*h**4 = 0. Calculate h.
-2/7, 1
Let d(q) be the first derivative of -q**7/280 - q**6/24 - 3*q**5/40 + 9*q**4/8 - q**3 - 3. Let b(i) be the third derivative of d(i). Factor b(v).
-3*(v - 1)*(v + 3)**2
Solve 20/13*s**2 + 10/13*s**4 - 20/13*s**3 + 2/13 - 10/13*s - 2/13*s**5 = 0 for s.
1
Let w be (-804)/84 - -10 - (-16)/(-70). Solve 0*k + 0*k**2 - 3/5*k**4 + 0 + 2/5*k**3 + w*k**5 = 0.
0, 1, 2
Suppose 10*y = -3*d + 5*y - 4, 0 = -3*d + y + 8. Suppose 3*h + 3*i = 12, 0 = 5*h - 4*i - d - 0. Let 2 - 5*n**2 + h*n**2 + n**2 = 0. Calculate n.
-1, 1
Let i(h) be the first derivative of -2*h**7/105 + h**6/60 + h**5/15 - h**4/12 - h**2 + 3. Let r(a) be the second derivative of i(a). Factor r(k).
-2*k*(k - 1)*(k + 1)*(2*k - 1)
Let m(v) = -2 - v - 2*v**2 + v**2 + 7*v. Let f be m(5). Factor -2*y**4 + f*y**3 - y**4 - 5*y**3 + y**2.
-y**2*(y + 1)*(3*y - 1)
Let l(k) be the second derivative of -k**5/20 - k**4/12 + 5*k**2/2 - 4*k. Let f be l(0). Factor -2 - f*p**2 - p + 4*p**2 + 0*p + 2*p**2.
(p - 2)*(p + 1)
Let f(j) be the second derivative of 0 - 1/3*j**3 - 3/4*j**4 - 7*j + 0*j**2 - 23/40*j**5 + 3/28*j**7 - 1/40*j**6. Determine p so that f(p) = 0.
-2/3, -1/2, 0, 2
Let g(r) be the first derivative of r**6/18 + r**5/30 - 5*r**4/36 - r**3/9 + r - 2. Let j(t) be the first derivative of g(t). Factor j(w).
w*(w - 1)*(w + 1)*(5*w + 2)/3
Let l(c) be the third derivative of c**9/120960 - c**8/20160 - c**7/2520 + c**6/180 + c**5/10 - 7*c**2. Let y(t) be the third derivative of l(t). Factor y(n).
(n - 2)**2*(n + 2)/2
Let s(r) be the third derivative of -r**2 + 1/30*r**5 + 0*r**3 - 1/30*r**6 + 0*r + 0 + 0*r**4 + 1/105*r**7. Factor s(j).
2*j**2*(j - 1)**2
Let -54*f**2 + 29*f**2 - 6*f - 15 - 5*f**3 - 29*f = 0. What is f?
-3, -1
Factor -14*z + z**3 + 8 - 3 - 13 + z**3 - 4*z**2.
2*(z - 4)*(z + 1)**2
Let q(s) be the third derivative of 1/168*s**8 + 1/30*s**5 + 0 - 1/105*s**7 + 3*s**2 + 0*s + 0*s**3 + 0*s**4 - 1/60*s**6. Factor q(a).
2*a**2*(a - 1)**2*(a + 1)
Solve 17*v**3 - 24*v**3 + 7*v**3 + 10*v**4 - 4*v**2 + 6*v**3 = 0.
-1, 0, 2/5
Let b be (-3)/1*(-21)/(-35) + 2. Let 3/5*w + b*w**2 + 0 = 0. What is w?
-3, 0
Let y = 0 - -1. Let o(j) = 2*j. Let t be o(y). Factor 0*i + 2*i**3 + i - t*i**2 - i**3.
i*(i - 1)**2
Find r, given that -4/13*r**2 + 0 + 0*r - 2/13*r**3 = 0.
-2, 0
Let d(i) be the second derivative of i**4/36 - i**3/6 + i**2/3 - 8*i. Factor d(a).
(a - 2)*(a - 1)/3
Let s(h) be the second derivative of 0*h**2 + 1/48*h**4 - 1/24*h**3 + 0 - 2*h. Determine m, given that s(m) = 0.
0, 1
Let w be 3/2*(-8)/(-6). Factor -4*v**2 + v**2 + w*v**4 + v**4.
3*v**2*(v - 1)*(v + 1)
Suppose -3*p = 5*o + 8, 2*p + 3*p - 36 = 4*o. Suppose 4*m + 4 = -4, -p = -4*n + 2*m. Determine i so that n*i**5 - 2*i**4 + 0*i**5 + i**3 + i**5 = 0.
0, 1
Let g be (9/(-21))/((-12)/126) + -4. Find y such that 1 + g*y**3 - 1/2*y - y**2 = 0.
-1, 1, 2
Let k(i) be the second derivative of -i - 1/12*i**4 - 1/20*i**5 + 0 + 0*i**2 + 0*i**3. Solve k(p) = 0.
-1, 0
Factor 7*j - 16*j**4 - 5*j + 24*j**3 - 16*j**2 + 4*j**5 + 2*j.
4*j*(j - 1)**4
Let k = 0 - -4. Suppose -4*n - x + 85 = 14, -k*n - 2*x + 70 = 0. Solve -7*l - 10*l**3 - 4*l**4 + 6*l**4 + n*l**2 - 7*l + 4 = 0 for l.
1, 2
Let t(o) be the first derivative of -25*o**4/48 - 5*o**3/12 - o**2/8 - 2*o - 9. Let i(q) be the first derivative of t(q). Suppose i(r) = 0. What is r?
-1/5
Let n(w) be the third derivative of -w**7/420 - w**6/60 + w**4/3 + w**3 + 5*w**2. Let o(p) be the first derivative of n(p). Factor o(u).
-2*(u - 1)*(u + 2)**2
Let g(j) = -15*j**3 + 26*j**2 - 13*j + 8. Suppose 4*v - 6*v - 12 = 0. Let m(s) = -29*s**3 + 51*s**2 - 26*s + 15. Let x(o) = v*m(o) + 11*g(o). Factor x(y).
(y - 1)**2*(9*y - 2)
Suppose 0 = 105*c - 109*c. Factor 0*u**4 + 0*u**2 + 4/3*u**3 - 2/3*u + c - 2/3*u**5.
-2*u*(u - 1)**2*(u + 1)**2/3
Factor -5*t**3 + 0*t**4 + 0 + 0*t**2 + 5/2*t**5 + 5/2*t.
5*t*(t - 1)**2*(t + 1)**2/2
Let h be -2 + (198/24 - 4). Let m be 10/(-35) - (-197)/28. Solve -27/4 + 1/4*s**3 + m*s - h*s**2 = 0 for s.
3
Factor 34/7*r**2 + 6/7 - 8/7*r**3 - 32/7*r.
-2*(r - 3)*(r - 1)*(4*r - 1)/7
Determine c, given that 107 - 5*c + 4*c**2 - 11*c - 107 = 0.
0, 4
Let j(g) = 3*g. Let m be j(2). Let k be m/1 - 2/1. Factor -2*c**2 + 2*c**k + 0*c + 2*c + 0*c**4 - c**5 - c.
-c*(c - 1)**3*(c + 1)
Let o be (4/(-7))/(9/(-7)). Let l = 1768/9 - 196. Factor -2/9*j + 2/9*j**3 + l - o*j**2.
2*(j - 2)*(j - 1)*(j + 1)/9
Suppose 0 + 3/2*o**2 + 9/4*o**3 - 15/4*o**4 + 0*o = 0. What is o?
-2/5, 0, 1
Let m(o) be the first derivative of -o**4/54 - 10*o + 5. Let s(r) be the first derivative of m(r). Factor s(f).
-2*f**2/9
Let j = -34 + 343/10. Let k(z) be the first derivative of 0*z**2 - 1 + 1/15*z**6 - 2/15*z**3 + 0*z + j*z**4 - 6/25*z**5. Solve k(c) = 0 for c.
0, 1
Suppose 0 = 7*j - 4*j + 96. Let i = -92/3 - j. Factor 2/9*d**5 + 2/9*d + i*d**3 + 0 - 8/9*d**2 - 8/9*d**4.
2*d*(d - 1)**4/9
Suppose b = 5*j - 20, -16 = -6*b + b - 4*j. Factor -2/5*n**3 - 4/5*n**2 + b + 0*n.
-2*n**2*(n + 2)/5
Let q(f) be the first derivative of f**4/24 - f**3/6 + f**2/4 + f - 5. Let o(b) be the first derivative of q(b). Find h, given that o(h) = 0.
1
Let w(a) = -a - 4. Let g be w(-11). Let o(h) be the second derivative of 1/2*h**5 + 2*h + 0*h**2 + 0*h**3 + 7/15*h**6 + 1/6*h**4 + 0 + 1/7*h**g. Factor o(u).
2*u**2*(u + 1)**2*(3*u + 1)
Factor 4*n**2 - 3*n**4 - 5*n**2 + 2*n**2 + 2*n**3.
-n**2*(n - 1)*(3*n + 1)
Let j(h) be the third derivative of -h**6/1440 - h**5/160 - h**4/48 + 2*h**3/3 + 4*h**2. Let c(v) be the first derivative of j(v). Factor c(z).
-(z + 1)*(z + 2)/4
Let s(o) be the second derivative of -o**9/60480 + o**8/13440 - o**7/10080 - o**4/12 - 5*o. Let j(x) be the third derivative of s(x). Factor j(i).
-i**2*(i - 1)**2/4
Let r(l) = 9*l**3 + 7*l**2 + 13*l - 7. Let d(w) =