 - 2*h**4.
h**3*(h - 1)**2
Let d(v) = -v**2 - 2*v - 5. Let m(t) be the third derivative of t**5/20 + t**4/4 + 7*t**3/3 + 3*t**2. Let z(l) = -11*d(l) - 4*m(l). Find q, given that z(q) = 0.
-1
Let g(z) be the third derivative of z**7/70 - z**6/8 + 3*z**5/10 + z**4/2 - 4*z**3 - 5*z**2. Factor g(w).
3*(w - 2)**3*(w + 1)
Suppose -v = -6*v - 10. Let a be v/4*(-12)/18. Factor a*q + q**2 + 0 - 4/3*q**3.
-q*(q - 1)*(4*q + 1)/3
Let m(c) = -c**4 + c**2 - 1. Let u(t) = -4*t**4 + 3*t**3 + 7*t**2 - 5. Let h(j) = 10*m(j) - 2*u(j). Determine n so that h(n) = 0.
-2, -1, 0
Suppose -17*j**3 - 5*j**3 + 8*j**3 - 10*j**4 - 4*j**2 = 0. Calculate j.
-1, -2/5, 0
Let s be 6/(-51) - (-59)/68. Solve -s*d**3 + 1/2 - 9/4*d + 5/2*d**2 = 0.
1/3, 1, 2
What is v in 6*v**2 + v**3 - 3*v**2 - 3*v**2 = 0?
0
Let n(b) be the first derivative of -b**4/30 - 2*b**3/9 - 7*b**2/15 - 2*b/5 + 18. Determine m so that n(m) = 0.
-3, -1
Let o(k) be the third derivative of -k**6/180 + 2*k**5/45 - 5*k**4/36 + 2*k**3/9 - 5*k**2. Factor o(g).
-2*(g - 2)*(g - 1)**2/3
Let z(q) be the first derivative of 4*q**6/3 - 12*q**5/5 - 2*q**4 + 16*q**3/3 - 4*q + 9. Factor z(g).
4*(g - 1)**3*(g + 1)*(2*g + 1)
Factor -11*u**2 - 2*u - 10*u**2 + 36*u**2 - 16*u**2.
-u*(u + 2)
Suppose 16 = -203*s + 211*s. Factor -4/9 + 2/9*y**s + 2/9*y.
2*(y - 1)*(y + 2)/9
Let i = 14 + -14. What is j in 66*j**2 + 8 + 13*j**3 - 3*j**3 + 8*j**4 + 30*j**3 + i*j**4 + 40*j = 0?
-2, -1/2
Let v(h) be the third derivative of h**6/300 + h**5/150 - h**4/30 + 6*h**2. Factor v(n).
2*n*(n - 1)*(n + 2)/5
Let r(o) be the second derivative of 5/84*o**7 - 3/40*o**5 - 7/60*o**6 + 0*o**2 + 7/24*o**4 - 1/6*o**3 + 3*o + 0. What is g in r(g) = 0?
-1, 0, 2/5, 1
Suppose 3*a + 2*a = 4*a. Let s(b) be the third derivative of a + 0*b + 0*b**4 + b**2 + 1/360*b**6 + 0*b**3 + 0*b**5. What is f in s(f) = 0?
0
Suppose -5*f = -r - 34 + 17, 4*r - f = 8. Factor -8/3*g**r - 6*g**2 - 2/3 - 4*g.
-2*(g + 1)**2*(4*g + 1)/3
Let j be 4/10 + 39/15. Let b(z) = z**2 - 5*z - 2. Let o be b(6). Factor -4*a**4 - 4*a**o + 2*a**j + a**4 + 0*a**3.
-a**3*(7*a - 2)
Let c(s) be the second derivative of s**4/24 - 5*s**3/3 + 25*s**2 - 30*s. Factor c(j).
(j - 10)**2/2
Let j = 0 + 0. Solve 5*b**3 - 3*b + 8*b**2 + b**5 - 11*b**3 + j*b**5 = 0.
-3, 0, 1
Let v(i) be the third derivative of 15*i**8/112 + 10*i**7/21 - 23*i**6/24 - 7*i**5/2 + 35*i**4/6 + 20*i**3/3 - i**2 + 1. Let v(p) = 0. Calculate p.
-2, -2/9, 1
Let i(m) = -24*m**3 - 6*m**2 - 11*m - 11. Let f(c) = -13*c**3 - 3*c**2 - 6*c - 6. Let x(h) = -11*f(h) + 6*i(h). Determine a so that x(a) = 0.
-3, 0
Let q(t) be the third derivative of -t**8/9240 + t**7/2310 - t**6/1980 - 7*t**3/6 - 3*t**2. Let u(x) be the first derivative of q(x). Factor u(f).
-2*f**2*(f - 1)**2/11
Let a(c) be the second derivative of 0*c**2 + 0 - 3*c - 1/8*c**3 - 1/16*c**4. Solve a(f) = 0.
-1, 0
Let b(n) = -n**4 - n**2 - n - 1. Let s(t) = 2*t**5 - 14*t**4 - 4*t**3 - 14*t**2 - 12*t - 14. Let x(j) = 28*b(j) - 2*s(j). Factor x(f).
-4*f*(f - 1)**2*(f + 1)**2
Let t be (-14)/(-6) + 4/(-12). Determine m so that 19*m**4 - m + 3*m**3 - m**t - 2*m**3 - 18*m**4 = 0.
-1, 0, 1
Let h(j) be the second derivative of j**6/5 + j**5/10 - j**4/2 - j**3/3 + 10*j. Suppose h(o) = 0. Calculate o.
-1, -1/3, 0, 1
Let a(t) = -4*t**2 + 4*t + 7. Let k(m) = -11*m**2 + 11*m + 20. Let l(p) = 8*a(p) - 3*k(p). Let u be l(3). What is n in 0 - n - 1/2*n**4 - 2*n**3 - 5/2*n**u = 0?
-2, -1, 0
Let u(h) = 9*h - 6. Let t be u(1). Factor 2/9 - 2/9*z + 2/9*z**t - 2/9*z**2.
2*(z - 1)**2*(z + 1)/9
Let j(f) = f**3 + 14*f**2 + 49*f + 2. Let a be j(-7). Factor -1/2*m + 1/2*m**3 + 0*m**a + 0.
m*(m - 1)*(m + 1)/2
Let z(j) = -2*j - 34. Let g be z(-18). Let d be 0 - 0 - 2*-1. Suppose -2*m**2 - 3*m**d + 10*m + m**3 - 4 - g*m = 0. What is m?
1, 2
Let k(c) be the third derivative of -c**8/80640 + c**7/10080 + c**6/960 + c**5/20 + c**2. Let q(u) be the third derivative of k(u). Factor q(r).
-(r - 3)*(r + 1)/4
Let g = 27/26 - 85/182. Suppose g*z**2 + 2/7 + 6/7*z = 0. What is z?
-1, -1/2
Solve -3/4*w**4 + 0 + 1/4*w**3 - 1/4*w**5 + 0*w + 3/4*w**2 = 0.
-3, -1, 0, 1
Let y = 697/12 + -58. Let b(p) be the third derivative of 0*p**3 - y*p**4 + 0 - p**2 + 0*p - 1/30*p**5. Let b(v) = 0. What is v?
-1, 0
Let m(r) be the third derivative of 1/224*r**8 + 0 - 1/2*r**3 - 2*r**2 + 0*r**7 + 0*r + 3/16*r**4 + 1/20*r**5 - 1/20*r**6. Find y, given that m(y) = 0.
-2, -1, 1
Let b(x) be the first derivative of -x**3/8 - 15*x**2/8 - 75*x/8 + 10. Solve b(t) = 0.
-5
Let a be 60*(-7)/700*-8. Solve 0 - 72/5*i**4 + 0*i - 2/5*i**2 + a*i**3 = 0 for i.
0, 1/6
Let q(l) be the first derivative of l**7/1680 + l**6/240 + l**5/120 - 2*l**3/3 - 3. Let k(c) be the third derivative of q(c). Factor k(b).
b*(b + 1)*(b + 2)/2
Let m(s) be the first derivative of -s**6/10 + s**5/25 + 3*s**4/10 - 2*s**3/15 - 3*s**2/10 + s/5 + 22. Let m(o) = 0. What is o?
-1, 1/3, 1
Let l = 193/2 - 96. Factor a**3 - l*a**2 - 1/2*a + 0.
a*(a - 1)*(2*a + 1)/2
Factor 8*b**3 + 4*b**2 + 3997 - 4*b - 3997.
4*b*(b + 1)*(2*b - 1)
Let k(f) be the first derivative of -1/12*f**3 + 0*f - 2 + 1/16*f**4 + 1/20*f**5 - 1/8*f**2. Suppose k(t) = 0. What is t?
-1, 0, 1
Let v(c) be the third derivative of 2*c**2 + 0*c + 1/540*c**6 + 4/27*c**3 + 2/27*c**4 + 0 + 1/54*c**5. Solve v(p) = 0.
-2, -1
Let i(t) = t**4 + t**2 + t. Let j(u) = -u**4 - u**3 - 3*u**2 - u. Let f(p) = -p + 16. Let b be f(13). Let y(s) = b*j(s) + 6*i(s). Factor y(g).
3*g*(g - 1)**2*(g + 1)
Let s(d) = -2*d**3 + d**2 - 8*d - 8. Let b be s(-1). Let z(m) be the first derivative of -2/7*m + 1/14*m**4 - 2/7*m**b + 2 + 3/7*m**2. Factor z(x).
2*(x - 1)**3/7
Let r = 2/3659 + -552519/18295. Let o = r + 1369/45. Find u, given that -o*u + 2/9*u**2 + 0 = 0.
0, 1
Suppose 0*x**2 + 2/9*x**3 - 4/9 - 2/3*x = 0. What is x?
-1, 2
Let b(h) be the third derivative of 0*h**4 + 0*h + 0 - h**2 + 1/3*h**3 - 1/30*h**5. Determine a, given that b(a) = 0.
-1, 1
Let u(v) be the third derivative of -v**7/30 + 13*v**6/60 - 9*v**5/20 + v**4/6 + 2*v**3/3 + 23*v**2. What is h in u(h) = 0?
-2/7, 1, 2
Let x be (-30)/(-21) + (-8)/14. Determine z, given that x*z - 2/7*z**2 - 4/7 = 0.
1, 2
Suppose g - 5*d + 1 = 0, 6*g = 4*g - 3*d + 11. Suppose -g*o = 4, 0 + 1 = 2*l + 3*o. Find a such that -l*a**3 + 0*a - a**4 + 2*a**4 - 1 + 2*a = 0.
-1, 1
Let m(q) be the third derivative of q**5/140 - q**4/28 - q**2 - 17*q. Factor m(t).
3*t*(t - 2)/7
Let f(p) be the second derivative of -p + 1/6*p**3 + 1/3*p**2 + 0 + 1/36*p**4. Find i such that f(i) = 0.
-2, -1
Factor 4*m + 2 + 5/2*m**2 + 1/2*m**3.
(m + 1)*(m + 2)**2/2
Find g such that 0 + 2/9*g**2 + 2/9*g - 2/9*g**4 - 2/9*g**3 = 0.
-1, 0, 1
Let c(r) be the first derivative of -r**4/5 + 32*r**3/5 - 384*r**2/5 + 2048*r/5 + 11. What is j in c(j) = 0?
8
Let r be 29/(-5) - 4*(-3)/2. Factor -3/5*t + r*t**2 + 2/5.
(t - 2)*(t - 1)/5
Let s = 9 + -7. Factor 3*m**3 - 5*m**3 - m - s*m**2 + m**3.
-m*(m + 1)**2
Let r(g) = -g**3 + 3*g**2 + 13*g + 13. Let o(a) = 3*a**2 + 12*a + 15. Let t(l) = -2*o(l) + 3*r(l). Let t(c) = 0. What is c?
-1, 3
Let c = -2 + 6. Suppose d + 13 = -5*k - 5, -c*d - 4*k = 8. Factor -1 - 1 + 0*q**2 + d*q**2 + 3*q - 3*q**3.
-(q - 1)*(q + 1)*(3*q - 2)
Let t(b) = -b**3 - 11*b**2 - 12*b + 13. Let z be t(-9). Let x = z - -453/11. Find p such that -4/11 + 4/11*p**2 - 2/11*p + x*p**3 = 0.
-2, -1, 1
Let d(u) be the second derivative of 1/4*u**4 + 0*u**2 + u**3 + 0 - 6*u. Find l, given that d(l) = 0.
-2, 0
Let d(x) be the third derivative of x**7/42 - x**5/4 - 5*x**4/12 - 34*x**2. Find y such that d(y) = 0.
-1, 0, 2
Let w(v) be the third derivative of -21/10*v**7 + 0*v + 3/5*v**5 - 1/2*v**4 - 2*v**2 + 0 + 0*v**3 + 49/40*v**6. Let w(q) = 0. Calculate q.
-2/7, 0, 2/7, 1/3
Let m(c) = 8*c + 0*c + 4*c**2 + 0*c - 7. Let r(d) = -3*d**2 - 7*d + 6. Let w(o) = -6*m(o) - 7*r(o). Factor w(s).
-s*(3*s - 1)
Let -1 + 0*a + 1/4*a**2 = 0. What is a?
-2, 2
Let o(j) be the third derivative of j**11/147840 + j**10/100800 + j**9/241920 + j**5/12 + 4*j**2. Let m(c) be the third derivative of o(c). Factor m(g).
g**3*(3*g + 1)**2/4
Factor 0*a - 1/8*a**3 + 0 + 1/2*a**2.
-a**2*(a - 4)/8
Let o(j) = 3*j**2 - 17*j + 18. Let c be o(1). Let 1/2*t**3 - 3/4*t**c + 1/2*t**2 + 1/4 + 1/4*t**5 - 3/4*t = 0. Calculate t.
-1, 1
Let w(m) be the third derivative of 0*m**4 - 1/180*m**6