2 + 0*k**5 - 1/33*k**6 + 2/11*k**4 + m*k**3 - 5. Solve h(y) = 0 for y.
-1, 1, 2
Let p(f) be the third derivative of 0 + 4*f**2 + 0*f + 0*f**3 - 1/120*f**5 - 1/240*f**6 + 0*f**4. Let p(i) = 0. What is i?
-1, 0
Let w(i) = -4*i**3 - 19*i**2 - 14*i + 1. Suppose 12 = -2*u - 2*u. Let a(b) = -b**3 + b**2 + b - 1. Let v(d) = u*a(d) - w(d). What is r in v(r) = 0?
-1, -2/7
Let n(a) = a**2 + a - 1. Let d(i) = i**2 + 13*i - 8. Let y(o) = -5*d(o) + 30*n(o). Factor y(u).
5*(u - 1)*(5*u - 2)
Let h(c) be the second derivative of -3721*c**6/30 + 793*c**5/4 - 62*c**4/3 + 2*c**3/3 + 5*c + 3. Factor h(f).
-f*(f - 1)*(61*f - 2)**2
Suppose -4*j = -3*k - 31, 1 + 9 = -2*k. Suppose 0 = 5*q + 3*g - 2*g - 11, q - 6 = -j*g. Find y, given that -7 - 9*y + 2*y**q + 11 + 3*y = 0.
1, 2
Let t be (-6 + 6)*1/(-4) - 0. Let y(c) be the second derivative of 4*c + 1/70*c**5 + 0*c**2 - 1/42*c**4 + 0 + t*c**3. Find d such that y(d) = 0.
0, 1
Let b(t) be the third derivative of 5*t**8/336 - 3*t**7/2 + 661*t**6/12 - 1533*t**5/2 - 2205*t**4/8 + 15435*t**3/2 - 208*t**2. Solve b(n) = 0 for n.
-1, 1, 21
Let t(o) = -9*o**3 + 8*o**2 + 4*o + 4. Let p(d) = 2*d**3 - d**2 - d - 1. Let b(q) = 12*p(q) + 3*t(q). Factor b(f).
-3*f**2*(f - 4)
Let l = -321/2 + 875/6. Let a = l + 97/6. Let -3 + 9/2*u**2 + 3/2*u - a*u**3 - 3/2*u**4 = 0. What is u?
-2, -1, 1
Let f(n) be the second derivative of n**9/3024 + n**8/336 + n**7/126 - 5*n**4/4 - n. Let p(j) be the third derivative of f(j). Determine m so that p(m) = 0.
-2, 0
Let i(l) = -12*l**3 + 1374*l**2 - 38313*l + 6. Let m(t) = 36*t**3 - 4119*t**2 + 114938*t - 17. Let n(o) = -17*i(o) - 6*m(o). Determine b so that n(b) = 0.
0, 113/2
Suppose -5*s - 104 = -2*o, -2*s + 14 - 62 = -4*o. Let w be (-33)/(-30) + 6/s. Factor 14/5*r**3 + 2*r**4 + w*r**2 + 0*r + 0.
2*r**2*(r + 1)*(5*r + 2)/5
Suppose 5*s - 11 - 4 = 0. Suppose t - 4*l + 8 + 4 = 0, -l = -2*t + 4. Factor -6*f**s + t*f**4 + 9*f - 3*f**2 - 9*f + 5*f**2.
2*f**2*(f - 1)*(2*f - 1)
Let w(h) be the first derivative of h**4/14 - 20*h**3/21 + 114. Factor w(k).
2*k**2*(k - 10)/7
Let k be (((-27)/6)/3)/(-18). Factor 0 + k*a**3 + 1/6*a**2 + 1/12*a.
a*(a + 1)**2/12
Let s(u) be the second derivative of -5*u**6/6 + u**5/2 + 10*u**4/3 - 5*u**3/3 - 15*u**2/2 + 708*u. What is w in s(w) = 0?
-1, -3/5, 1
Let b(z) = -3*z**2 - 24*z + 23. Let a(t) = -5*t**2 - 25*t + 24. Let j(w) = 2*a(w) - 3*b(w). Solve j(v) = 0.
1, 21
Let q = 13/56 + 15/56. Factor w - q*w**2 - 1/2.
-(w - 1)**2/2
Let c(a) be the third derivative of -a**6/120 - a**5/20 - a**3/3 + 5*a**2. Let g(n) be the first derivative of c(n). Determine y, given that g(y) = 0.
-2, 0
Let 7 - 1/3*c**2 + 20/3*c = 0. Calculate c.
-1, 21
Let g(l) be the third derivative of 10*l**2 + 1/42*l**4 - 1/21*l**3 + 0*l - 1/210*l**5 + 0. Factor g(f).
-2*(f - 1)**2/7
Let k = -524 + 997/3. Let q = k + 193. Let 5/3*w**2 + 8/3*w + 1/3*w**3 + q = 0. What is w?
-2, -1
Let n(u) = 9*u**3 - 63*u**2 - 167*u - 74. Let a(x) = -3*x**3 + 21*x**2 + 55*x + 25. Let l(z) = -7*a(z) - 2*n(z). Factor l(w).
3*(w - 9)*(w + 1)**2
Let v(l) = -30*l**2 - 55*l + 50. Let t(p) = p**2 + 2*p - 2. Let h(w) = 25*t(w) + v(w). Factor h(u).
-5*u*(u + 1)
Suppose o + 2*d - 9 = -0*o, -22 = -2*o - 5*d. Suppose o - 3 - 2*q**2 + 7*q + 6*q - 9*q = 0. Calculate q.
1
Let t(v) be the second derivative of 23*v + 0 - 1/20*v**5 + 1/6*v**4 + 7/6*v**3 + 2*v**2. What is h in t(h) = 0?
-1, 4
Let b be (-2)/7 + 162/(-21). Let z be ((-10)/b)/(2/8). Factor -2*c**2 - c**2 + 3*c**4 + 4 + c + 4*c**5 - z*c**3 - 4.
c*(c - 1)*(c + 1)**2*(4*c - 1)
Let a be (-2 - -13 - 5)*(-2)/(-42)*7. Solve -1/4*m**a - 1/4 - 1/2*m = 0 for m.
-1
Let o(t) = t**2 - 221*t + 5730. Let f be o(191). What is j in 2/3*j**3 - 4*j**2 + 8/3*j + j**4 + f - 1/3*j**5 = 0?
-2, 0, 1, 2
Let y(d) be the first derivative of 2/7*d + 23 - 3/7*d**2 + 2/7*d**3 - 1/14*d**4. Factor y(u).
-2*(u - 1)**3/7
Let v(p) = 66*p - 264. Let l be v(4). Determine j, given that l + 0*j - 1/4*j**2 = 0.
0
Let r be 3 + 6 - (-2 + (1 - 1)). Let z(w) = -w**3 + 4*w**2 - 9*w + 6. Let u(f) = 6*f**3 - 21*f**2 + 46*f - 31. Let c(d) = r*z(d) + 2*u(d). Solve c(i) = 0.
-4, 1
Suppose -5*l + 33 = 3*h - 2, -25 = -5*l - h. Determine i so that -13*i**3 - 20 + i + 20*i**2 + 8*i**3 + l*i = 0.
-1, 1, 4
Let l(z) be the third derivative of z**8/504 - z**6/45 + z**5/45 + z**4/12 - 2*z**3/9 + 25*z**2. Find d, given that l(d) = 0.
-2, -1, 1
Solve -4/3*c**2 - 44/3*c**4 + 14/3*c**5 + 0*c + 34/3*c**3 + 0 = 0 for c.
0, 1/7, 1, 2
Suppose 8*x - 5*x = 0. Let h(v) be the second derivative of x - 1/18*v**4 - 1/9*v**3 + 0*v**2 + 5*v. Suppose h(w) = 0. What is w?
-1, 0
Let q(s) be the first derivative of -s**7/504 + s**6/180 - 35*s - 32. Let g(o) be the first derivative of q(o). Let g(n) = 0. What is n?
0, 2
Let u(g) = -5*g**2 + 41*g - 12. Let r be u(12). Let f = r - -722/3. Find b such that -1/6*b**3 - 4/3*b + 5/6*b**2 + f = 0.
1, 2
Suppose q - 3 = 4*q. Let d be (q*3/4)/(5/(-20)). Let 4 - 224/3*x**4 - 240*x**d + 58/3*x - 42*x**2 = 0. Calculate x.
-3, -1/4, 2/7
Solve 1/3 - 2/3*n + 1/3*n**2 = 0 for n.
1
Let a = 226 - 224. Let r(y) be the third derivative of 7*y**a + 0*y + 1/90*y**5 + 0 + 4/9*y**3 - 5/36*y**4. Factor r(b).
2*(b - 4)*(b - 1)/3
Let v(h) = 2*h + 29. Let c(o) = -o**2 + o - 1. Let y be c(-3). Let l be v(y). Factor 36*a**2 - 8 - 7 + 19*a**2 - 25*a + 8*a**l - 23*a**3.
-5*(a - 3)*(a - 1)*(3*a + 1)
Let w(l) = -2*l**2 + 3. Let h(s) = -3*s**2 + 5. Let i(z) = 3*h(z) - 6*w(z). Factor i(b).
3*(b - 1)*(b + 1)
Let b be 2/4 - 3 - 2/4. Let w be b/((-48)/(-28)) + 6/2. Factor z**2 + w*z + 1/4.
(z + 1)*(4*z + 1)/4
Let h(u) be the second derivative of -u**7/63 - 2*u**6/45 - u**5/30 - 6*u. Factor h(q).
-2*q**3*(q + 1)**2/3
Let b(k) be the third derivative of 0*k + 0 - 1/490*k**7 + 0*k**4 + 1/210*k**5 - 1/840*k**6 + 0*k**3 - 2*k**2. Determine i so that b(i) = 0.
-1, 0, 2/3
Suppose -3*t = -k + 2*t - 3, k = -4*t + 6. Factor -2 - 20*r**5 - 4*r**2 + 6*r**4 + 4*r**3 + 22*r**5 - 8*r + k*r.
2*(r - 1)*(r + 1)**4
Let x = 280 + -277. Suppose -8*z + 14 = -4*z - x*d, -3*z + 4 = d. Let 1/2 - 1/2*j**z + 1/2*j - 1/2*j**3 = 0. What is j?
-1, 1
Let h(u) be the first derivative of -4*u**3/3 + 10*u**2 - 24*u + 23. Determine v, given that h(v) = 0.
2, 3
Let y(b) = 3*b + b**2 + 52 - 18 + 28 + 20*b. Let l be y(-20). Let 12/7*w - 18/7 - 2/7*w**l = 0. Calculate w.
3
Let b be (-70)/28*1/(-20). Let j(w) be the third derivative of b*w**4 + 0 + 1/3*w**3 + 0*w + 0*w**5 - 8*w**2 - 1/120*w**6. Factor j(s).
-(s - 2)*(s + 1)**2
Let z(s) = -2*s**2 - 6*s**2 - 5 + 8*s - 9*s**3 + 10*s**3. Let n be z(7). Factor -3 + 6 - 3*c - c - 1 + 2*c**n.
2*(c - 1)**2
Let t(k) be the third derivative of k**8/112 + 2*k**7/35 - 3*k**6/20 - 9*k**5/5 - 27*k**4/8 - 679*k**2. Factor t(r).
3*r*(r - 3)*(r + 1)*(r + 3)**2
Suppose -x = 4*z, 22*z = -x + 19*z + 1. Let 0*s**2 + 2/7*s**3 + 0*s**x - 2/7*s**5 + 0*s + 0 = 0. Calculate s.
-1, 0, 1
Let y(b) be the third derivative of -b**6/600 - 13*b**5/300 + 29*b**4/120 - b**3/2 + 2*b**2 + 142*b. Factor y(r).
-(r - 1)**2*(r + 15)/5
Let 5*o**4 + 1894 - 609 + 2587 + 624*o**2 - 3*o**4 + 80*o**3 - 3520*o = 0. Calculate o.
-22, 2
Let k(q) = q**3 + 2. Let m be k(0). Factor 12*o**3 + 12*o**m + 3*o - 55 + 55.
3*o*(2*o + 1)**2
Suppose -2*t + 16*g - 19*g + 7 = 0, 0 = -4*t - 4*g + 12. Solve -2/3*x**3 - 10/3 + 6*x - 2*x**t = 0.
-5, 1
Let b = 51 - 93. Let a be 6/(-20)*35/b. Solve a*v**2 - 2*v + 4 = 0 for v.
4
Suppose 2*g = -0*g. Suppose g = 3*j, -o + 0*j - 4*j = -3. Factor -5*n**2 + n**2 + 2*n + n**2 + n**o.
n*(n - 2)*(n - 1)
Let h(m) = -m**3 - 2*m**2 + m - 1. Let o(k) = -k**3 + 3*k**2 - 3*k - 77. Let p(t) = 2*h(t) - o(t). Find x, given that p(x) = 0.
-5, 3
Let i(x) be the first derivative of x**3/3 + 15*x**2/2 + 14*x - 169. Factor i(c).
(c + 1)*(c + 14)
Let p be (-12 + 10)/((-2)/3). Factor 3*s**3 - 2*s**3 + 5 + 15*s**2 - 15*s - 3*s**3 - p*s**3.
-5*(s - 1)**3
Let s be 3/14*(-504)/(-480). Let i(r) be the second derivative of -1/12*r**6 + 1/84*r**7 + 0*r**2 + 0 + s*r**5 + 5*r - 7/24*r**4 + 1/6*r**3. Factor i(j).
j*(j - 2)*(j - 1)**3/2
Let s(q) be the second derivative of -19*q + 0 + 1/6*q**4 + 5/18*q**3 + 1/4*q**2 + 1/20*q**5 + 1/180*q**6. Let s(l) = 0. What is l?
-3, -1
Let w(a) be the third derivative of -a**8/1176 - a**7/735 + a**6/420 + a**5/210 - 220*a**2 + 2*a. Determine h, given t