(k - 1)/3
Let h(x) be the first derivative of x**4/26 + 4*x**3/13 - 64*x/13 + 49. Factor h(v).
2*(v - 2)*(v + 4)**2/13
Suppose 68*b = -13*b. Find f, given that b*f**3 - 2/7*f + 1/7*f**4 + 0 - 3/7*f**2 = 0.
-1, 0, 2
Let h = -112 - -120. Find n, given that 3*n**3 + 65*n**4 + 3*n**5 + h*n + 3*n**5 - 69*n**4 - 21*n**3 = 0.
-1, 0, 2/3, 2
Let i(m) = -m**2 - 22*m - 77. Let v(z) = -3*z**2 - 65*z - 232. Let s be (-4*(-4)/(-12) + 0)*-3. Let u(x) = s*v(x) - 11*i(x). Solve u(g) = 0 for g.
-9
Let b(f) be the second derivative of -f**5/20 - f**4/2 + 3*f**3/2 + 8*f**2 - 5*f + 3. Let o be b(-7). Solve 1/2*t**3 + 0 - 1/6*t**4 - 1/3*t**o + 0*t = 0.
0, 1, 2
Suppose -5*v - 18 = -3*v + 4*p, 2*v + 5*p = -23. Let z(y) = -y**2 + 1. Let t(a) = -5*a**2 + 20*a + 30. Let d(m) = v*t(m) - 10*z(m). Factor d(w).
5*(w + 2)**2
Let z(n) = -n**3 + 39*n**2 + 84*n - 80. Let w be z(41). Suppose 0 + 0*y**3 + 1/4*y**5 + 0*y**w + 0*y**4 + 0*y = 0. What is y?
0
Let h(t) be the first derivative of 4/3*t**3 + t**4 + 15 + 0*t + 0*t**2. Factor h(f).
4*f**2*(f + 1)
Let s(p) be the second derivative of p**7/1680 + p**6/720 - 2*p**3/3 - 23*p. Let x(i) be the second derivative of s(i). Solve x(j) = 0.
-1, 0
What is r in 18/11*r**4 + 32/11*r**3 + 0 + 0*r - 8/11*r**2 = 0?
-2, 0, 2/9
Suppose 2*l + 3*h - 40 - 6 = 0, 3*l - 3*h - 39 = 0. Suppose 4*m - 3*o = -0*m + l, -m + 4*o = -14. Determine r, given that m*r**2 + 9*r**3 - r**2 - 8*r**3 = 0.
-1, 0
Let o(z) = -9*z**2 - 8*z - 9. Let f(x) = 4*x**2 + 4*x + 4. Let d(w) = -11*w - 6. Let p be d(0). Let n(a) = p*o(a) - 13*f(a). Factor n(h).
2*(h - 1)**2
Let d = -13421 - -67108/5. Determine q, given that -d*q**2 - 4/5 + 1/10*q**3 + 6/5*q = 0.
2
Let c = -104 + 313/3. Let w(l) be the third derivative of 2/15*l**5 - 7*l**2 - c*l**4 + 0*l - 1/60*l**6 + 0 + 0*l**3. Factor w(i).
-2*i*(i - 2)**2
Suppose 8*a = -7*a + 2730. Let j = a + -544/3. Suppose 2/3*g**3 - j*g + 0 + 0*g**2 = 0. What is g?
-1, 0, 1
Let i(z) be the third derivative of 1/21*z**3 - 2*z**2 - 2/21*z**4 + 0*z + 1/30*z**5 + 0. Find v such that i(v) = 0.
1/7, 1
Determine n, given that 2/3*n**3 - 2/3*n + 2/15*n**4 + 2/3*n**2 - 4/5 = 0.
-3, -2, -1, 1
Suppose 2*s - l - 58 = 3*l, 113 = 4*s - 5*l. Let t = s - 21. Factor t + 6*j - 7*j**2 + 2*j + 9*j**2.
2*(j + 1)*(j + 3)
Let y(c) be the second derivative of -c**7/1120 - c**6/120 - c**5/40 - 5*c**3 - 18*c. Let l(b) be the second derivative of y(b). Solve l(v) = 0 for v.
-2, 0
Let b(u) be the first derivative of -u**8/4200 + u**7/525 - u**6/180 + u**5/150 - 8*u**3 - 10. Let y(f) be the third derivative of b(f). Factor y(v).
-2*v*(v - 2)*(v - 1)**2/5
Let g(h) = h**3 - 2*h. Let a be g(0). Let i(c) be the third derivative of a*c + c**2 - 1/12*c**4 - 1/60*c**5 + 0 + 0*c**3. Factor i(r).
-r*(r + 2)
Suppose 0 = -28*b + 13*b + 90. Let x be 2/b - 240/(-252). Solve 12/7*o - x*o**3 + 12/7*o**2 + 0 = 0 for o.
-2/3, 0, 2
Factor -164*u**2 - 28 - 35 - 16*u**3 - 40*u**2 + 7 + 22*u + 254*u.
-4*(u - 1)*(u + 14)*(4*u - 1)
Let b(z) be the first derivative of -z**4/5 - 8*z**3/3 - 32*z**2/5 + 111. Suppose b(p) = 0. What is p?
-8, -2, 0
Let n(f) be the second derivative of 3*f**5/40 - f**4 + 21*f**3/4 - 27*f**2/2 - 2*f - 89. Determine q so that n(q) = 0.
2, 3
Suppose 5*x - 75 + 87 = -4*q, -4*q + x = -12. Suppose 21/2*v**4 - q*v + 32*v**3 + 43/2*v**2 - 2 = 0. What is v?
-2, -1, -1/3, 2/7
Let z = 43434 + -43431. Let -5*r**2 + 15/4*r**z + 5*r**4 + 0 + 5/4*r**5 - 5*r = 0. Calculate r.
-2, -1, 0, 1
Let b(q) be the third derivative of q**5/20 + 9*q**4/4 + 40*q**3 - 306*q**2. Let b(u) = 0. What is u?
-10, -8
Suppose -4*w = -0*w + 12. Let o = 5 + w. Let 2*k**3 - o*k**2 + 2*k**4 + 3*k - 7*k + 2*k = 0. Calculate k.
-1, 0, 1
Factor -102 - 80*r + 2*r**3 - 100*r + 270*r - 24*r**2 + 2.
2*(r - 5)**2*(r - 2)
Let m(q) be the third derivative of 7*q**6/60 + 13*q**5/30 + 5*q**4/6 + 7*q**2. Let b(a) = 9*a**3 + 17*a**2 + 13*a. Let y(j) = -8*b(j) + 5*m(j). Factor y(u).
-2*u*(u + 1)*(u + 2)
Factor -3/2 + w**2 - 1/4*w - 1/4*w**3.
-(w - 3)*(w - 2)*(w + 1)/4
Let u(w) be the first derivative of -w**9/9072 - w**8/1680 - w**7/1260 - 4*w**3 - 3. Let b(i) be the third derivative of u(i). Let b(v) = 0. Calculate v.
-2, -1, 0
Factor 38025/2 + 1/2*u**2 + 195*u.
(u + 195)**2/2
Factor -441/2*j + 63/2*j**2 - 3/2*j**3 + 1029/2.
-3*(j - 7)**3/2
Factor 1/2 - 53/4*q + 51/4*q**2.
(q - 1)*(51*q - 2)/4
Let l = 10 - 7. Solve 82*w - 35*w - 44*w + l*w**2 = 0 for w.
-1, 0
Let o(g) be the second derivative of g**5/20 - 19*g**3/6 + 15*g**2 - 99*g. What is n in o(n) = 0?
-5, 2, 3
Let b(j) be the third derivative of 20*j**2 + 1/180*j**5 + 0*j + 1/9*j**3 - 1/24*j**4 + 0. Suppose b(y) = 0. What is y?
1, 2
Let n(t) be the first derivative of -13 + 0*t - 2/7*t**2 - 2/3*t**3. Factor n(i).
-2*i*(7*i + 2)/7
Let d(f) = -3*f**4 - 123*f**3 + 114*f**2 + 279*f + 9. Let k(v) = v**4 + 31*v**3 - 30*v**2 - 70*v - 2. Let w(h) = -2*d(h) - 9*k(h). Determine z so that w(z) = 0.
-12, -1, 0, 2
Let r be 9/12 + 66/(-88). Find a, given that r - 1/6*a + 1/6*a**2 = 0.
0, 1
Let k(i) be the third derivative of -i**5/36 - 40*i**4/3 - 2560*i**3 + 654*i**2. Find w such that k(w) = 0.
-96
Let d(k) = 0 + 0*k**3 - k**3 - 2 - 8*k**2 - 8*k + 0*k**3. Let g be d(-7). Determine h, given that 5*h + 8 + g*h - 2*h + 2*h**2 = 0.
-2
Factor -6750*v - 5*v**4 + 3*v**4 - 9 - 1350*v**2 - 90*v**3 + 9.
-2*v*(v + 15)**3
Suppose 5*z - 2*f = 2*f + 35, -z = 4*f + 17. Suppose 3/4 - 4*j**z + 23/4*j + 10*j**2 = 0. What is j?
-1/4, 3
Let k(i) = -i**2 - 8*i + 11. Let w be k(-9). Factor 8*x**w + x**2 - 3*x**3 + 0*x**3 - 3*x - 3*x.
-3*x*(x - 2)*(x - 1)
Let p(w) be the third derivative of -w**6/900 - 2*w**5/75 + 3*w**4/20 - 8*w**3/3 + 6*w**2. Let g(m) be the first derivative of p(m). Factor g(k).
-2*(k - 1)*(k + 9)/5
Let z(v) be the first derivative of -v**6/15 + v**4/2 + 2*v**3/3 + 10*v - 8. Let n(u) be the first derivative of z(u). Factor n(x).
-2*x*(x - 2)*(x + 1)**2
Let p(y) be the second derivative of -2*y**7/147 - 4*y**6/35 - 12*y**5/35 - 10*y**4/21 - 2*y**3/7 + 171*y. Factor p(g).
-4*g*(g + 1)**3*(g + 3)/7
Let x = 838 - 3329/4. Factor 4*k + 10*k**2 + 0 + 3/4*k**4 - x*k**3.
k*(k - 4)**2*(3*k + 1)/4
Let f(z) = 47 - 52 - 5*z**2 - 7*z**2 + z**2 + z. Let g(h) = -27*h**2 + 3*h - 12. Let l(s) = 12*f(s) - 5*g(s). Find n, given that l(n) = 0.
0, 1
Suppose 304*o + 1/4*o**3 - 67/4*o**2 - 768 = 0. Calculate o.
3, 32
Let y(t) be the third derivative of t**9/5292 + t**8/1470 - t**6/315 - t**5/210 + 13*t**3/6 - 24*t**2. Let m(c) be the first derivative of y(c). Factor m(g).
4*g*(g - 1)*(g + 1)**3/7
Let m = 29 - 23. Suppose 0*z = 2*z - m. Suppose -h**4 - 3*h + h**3 - z*h**2 - 2*h**3 + 2*h - 2*h**3 = 0. Calculate h.
-1, 0
Factor -33 - 15/4*b**2 - 84*b.
-3*(b + 22)*(5*b + 2)/4
Let s(m) be the first derivative of m**7/420 - m**6/180 - m**5/30 + 5*m**3 + 11. Let l(c) be the third derivative of s(c). Determine d, given that l(d) = 0.
-1, 0, 2
Let g(p) be the third derivative of -p**5/12 + 15*p**4/4 - 75*p**3/2 + 173*p**2. Factor g(j).
-5*(j - 15)*(j - 3)
Let d = -19 + 36. Let y = d - 12. Find n such that -n**5 + 8*n**2 + 4*n**y - 6*n**5 + 12*n**3 - n**5 = 0.
-1, 0, 2
Suppose 0 = 4*a - 0*a + 16, n - 4*a - 31 = 0. Let i = -12 + n. Solve -4*k**3 - 2*k**3 + 2*k**i + 3*k**4 - k**5 + 2*k**3 = 0.
0, 1, 2
Let t be (-12*(-6)/200)/(16/(800/15)). Factor 3/5 + 3/5*g**2 + t*g.
3*(g + 1)**2/5
Let u(i) be the first derivative of -63*i**6/2 + 300*i**5 - 3105*i**4/4 + 530*i**3 + 162*i**2 - 120*i + 265. Solve u(f) = 0.
-2/7, 2/9, 1, 2, 5
Suppose 0 = 25*y - 17*y. Find g such that 0*g**3 + 2/11*g**4 - 6/11*g**2 + y - 4/11*g = 0.
-1, 0, 2
Let d = -4/5777 - -2449460/17331. Determine i so that -44/3*i**4 - 532/3*i + d*i**2 - 40/3*i**3 + 196/3 - 4/3*i**5 = 0.
-7, 1
Let a(b) = b**3 + 13*b**2 + 11*b - 8. Let v be a(-12). Let t = v - 1. Find u, given that 10*u**3 + 7*u**3 + 3*u**2 + t*u**4 - 23*u**3 = 0.
0, 1
Let y(h) be the second derivative of -h**6/180 + h**5/30 + h**4/8 - 4*h**3/9 - 5*h**2/3 + 2*h - 54. Find k such that y(k) = 0.
-2, -1, 2, 5
Let u be 97/(-33) + (-24)/(-8). Let d(x) be the first derivative of -2/11*x**2 + 1 + 2/11*x + u*x**3. Suppose d(v) = 0. Calculate v.
1
Let k(j) = -j**2 - 1. Let b(t) = 2*t**3 + 17*t**2 + 56*t + 45. Let y(l) = b(l) - 3*k(l). Factor y(d).
2*(d + 2)**2*(d + 6)
Let u = 11659/3 + -3886. Factor