r) = 10*f(r) + k(r). Factor j(a).
-2*(a - 2)*(a + 1)
Let m(s) be the third derivative of 0 - 3*s**2 + 0*s**3 - 1/120*s**6 + 1/672*s**8 + 0*s**7 + 1/48*s**4 + 0*s**5 + 0*s. Find t such that m(t) = 0.
-1, 0, 1
Let l(u) be the first derivative of 1/7*u**2 + 1/35*u**5 - 1/7*u + 8 + 0*u**3 - 1/14*u**4. Determine r, given that l(r) = 0.
-1, 1
Let u(f) be the second derivative of f**4/42 + 26*f**3/21 + 169*f**2/7 - 36*f. Factor u(a).
2*(a + 13)**2/7
Let p(k) = -5*k + 3*k**3 - 4*k**2 + 1 - 2*k**3 + 1. Let y be p(5). Factor 2*i - i + y*i**3 - 3*i + 0*i**3.
2*i*(i - 1)*(i + 1)
Let z(h) be the first derivative of -h**3/18 - h**2/4 - h/3 + 2. Determine r, given that z(r) = 0.
-2, -1
Let o(i) = 21*i**4 - 15*i**3 + 6*i + 6. Let k(g) = g**4 - g**3 + g**2 + g + 1. Let y(u) = 6*k(u) - o(u). Find z, given that y(z) = 0.
-2/5, 0, 1
Let j(h) be the third derivative of h**6/600 + h**5/50 + h**4/15 - h**2. Find b such that j(b) = 0.
-4, -2, 0
Let i(t) = 2*t**3 + 43*t**2 - 108*t + 72. Let s(k) = k**3 + 14*k**2 - 36*k + 24. Let w(a) = 4*i(a) - 11*s(a). Let w(g) = 0. What is g?
2
Let c = 1 + -5. Let b = c + 6. Factor -5*a**b + 3*a**3 - 4*a**2 + 12*a - 10*a**3 + 4.
-(a - 1)*(a + 2)*(7*a + 2)
Suppose 4*s - 2*s - 6 = 0. Let k(r) be the third derivative of 0*r - 1/360*r**6 + r**2 - 1/60*r**5 - 1/24*r**4 - 1/18*r**s + 0. Factor k(l).
-(l + 1)**3/3
Suppose -8*s + 20 = -20. Let x(i) be the first derivative of -i**4 + 8/5*i**s + 7/2*i**2 - 1/2*i**6 - 2*i - 2 - 2*i**3. Factor x(k).
-(k - 1)**3*(k + 1)*(3*k - 2)
Let d be 1186/30*8/(-24). Let m = d - -151/9. Solve 14/5*p**2 + 4/5 + m*p = 0.
-1, -2/7
Let z = -6 + 8. What is i in 14*i**z + 10*i**4 + 4*i + 2*i**5 + 7 - 7 + 18*i**3 = 0?
-2, -1, 0
Let s be 3 - -2 - (-56)/(-16). Find b such that s - 9/4*b + 3/4*b**2 = 0.
1, 2
Let b be 1/(-2) + (-34)/(-20). Solve 28/5*q**4 - b*q**3 + 0 - 4/5*q - 18/5*q**2 = 0 for q.
-1/2, -2/7, 0, 1
Suppose -3*l + 1 + 1 = -4*s, l + 3*s - 18 = 0. Let i = 8 - l. Determine b so that 0*b**i - 3*b + 0*b**2 + b**2 + 5*b = 0.
-2, 0
Let t(i) be the first derivative of 0*i**2 + 2/39*i**3 - 5 + 1/26*i**4 - 1/39*i**6 + 0*i - 2/65*i**5. Factor t(d).
-2*d**2*(d - 1)*(d + 1)**2/13
Factor -162/5 - 3/5*k**4 - 27*k**2 + 243/5*k + 33/5*k**3.
-3*(k - 3)**3*(k - 2)/5
Let 3/4*s**2 - 15/4 - 3*s = 0. What is s?
-1, 5
Let n = 289 + -8669/30. Let f(u) be the third derivative of 5/24*u**4 - 2/105*u**7 + 1/3*u**3 + n*u**5 - 1/336*u**8 - 1/30*u**6 + 3*u**2 + 0*u + 0. Factor f(m).
-(m - 1)*(m + 1)**3*(m + 2)
Let y(w) be the second derivative of 9*w**4/4 - 3*w**3/2 + 3*w**2/8 + 17*w. Find r, given that y(r) = 0.
1/6
Factor -105/4*d - 75/4 - 3/4*d**3 - 33/4*d**2.
-3*(d + 1)*(d + 5)**2/4
Let 1/6*v**4 - 1/3 + 1/2*v**3 - 1/2*v + 1/6*v**2 = 0. What is v?
-2, -1, 1
Let n(r) be the third derivative of r**7/49 + r**6/30 - 11*r**5/70 + 4*r**3/21 - 32*r**2. Determine b so that n(b) = 0.
-2, -1/3, 2/5, 1
Let y(j) be the second derivative of -9/7*j**2 + 2/7*j**3 + 0 + 10*j - 1/42*j**4. Solve y(h) = 0.
3
Let x(i) be the first derivative of -i**6/21 + 4*i**5/35 - 4*i**3/21 + i**2/7 - 12. Factor x(s).
-2*s*(s - 1)**3*(s + 1)/7
Factor -5*c - 46 + 46 + 45*c**2.
5*c*(9*c - 1)
Let v(c) = 2*c - 13. Let t be v(8). Let p(q) be the second derivative of 0 + 1/18*q**4 + 2*q - 1/3*q**t + 2/3*q**2. Factor p(u).
2*(u - 2)*(u - 1)/3
Factor 0*o**3 + 1/2*o**4 + 1/2 + 0*o - o**2.
(o - 1)**2*(o + 1)**2/2
Let p(k) = k + 5. Let q be p(-3). Determine b, given that -11*b**4 - 27*b**2 + 4 - q*b - 29*b**4 + 86*b**3 - 21*b**2 = 0.
-1/4, 2/5, 1
Let z(f) be the first derivative of -3/8*f**2 + 3 + 1/16*f**4 + 0*f**3 + 1/2*f. Factor z(k).
(k - 1)**2*(k + 2)/4
Let k(s) be the third derivative of -s**7/84 - s**6/24 + 5*s**4/24 + 5*s**3/12 - 7*s**2. Find v such that k(v) = 0.
-1, 1
Suppose i + 2 = 2*p + 11, 15 = -5*p. Suppose i*q + q - 12 = 0, 4*q = 3*x + 6. Factor -x*b**5 - 3*b**5 + b**2 + 6*b**5 - b**3 - b**4.
b**2*(b - 1)**2*(b + 1)
Let q(y) = 3*y - 1. Let n be q(1). Suppose 7*a**4 + 5*a**n + 4*a + 6*a**2 + 16*a**3 - 2*a = 0. Calculate a.
-1, -2/7, 0
Suppose 6 = a + a. Suppose -p**3 - 2*p**2 + 0*p**4 - 2*p**4 + 7*p**a - 2*p**3 = 0. What is p?
0, 1
Let l(w) be the second derivative of w**7/14 - w**6/5 + 3*w**5/20 + 28*w. Determine h, given that l(h) = 0.
0, 1
What is r in -8/5 - 11*r**3 + 6/5*r**2 - 5*r**4 + 28/5*r = 0?
-2, -1, 2/5
Let o(r) be the second derivative of 2*r**7/21 - r**6/10 - r**5/20 - r. Factor o(a).
a**3*(a - 1)*(4*a + 1)
Suppose -4*g = -0*g - 12. Find y, given that 2*y**4 - 5*y**3 + 8*y**g + y**4 = 0.
-1, 0
Let r(f) = f**2 - 1. Let m(i) = 4*i**2 - 9*i + 5. Suppose -3*o = 2*o - 4*y + 21, -3*y + 12 = 0. Let j(u) = o*m(u) + r(u). Solve j(t) = 0.
1, 2
Let p(i) be the second derivative of i**5/60 - i**4/18 - i**3/18 + i**2/3 - 8*i. Factor p(c).
(c - 2)*(c - 1)*(c + 1)/3
Let q be 2/(-5) + (-28)/5. Let k(g) = -g**2 - 6*g + 2. Let p be k(q). Determine i, given that 11*i**p - 2*i**3 - 11*i**2 = 0.
0
Let d(x) be the second derivative of -125*x**4/12 - 25*x**3/3 - 5*x**2/2 + 3*x. Factor d(n).
-5*(5*n + 1)**2
Let p(b) be the second derivative of b**9/1080 + b**8/1680 - b**7/180 - b**6/180 + 7*b**4/12 - b. Let u(z) be the third derivative of p(z). Factor u(a).
2*a*(a - 1)*(a + 1)*(7*a + 2)
Let i = -1006 + 1012. What is w in 3/4*w**2 + i*w + 9/4*w**4 - 3 - 6*w**3 = 0?
-1, 2/3, 1, 2
Let h(r) = -r**3 - r - 1. Let s(z) = 45*z**2 + 70*z - 130. Let d(p) = -5*h(p) + s(p). Suppose d(j) = 0. What is j?
-5, 1
Let d(h) be the third derivative of -3*h**2 + 0*h - 1/280*h**7 - 3/40*h**5 + 0 - 1/8*h**3 - 1/8*h**4 - 1/40*h**6. Suppose d(c) = 0. What is c?
-1
Suppose -2*u - 3 - 7 = 4*d, d - 5*u = 25. Factor 0*k - k**3 - 1/3*k**5 + d - k**4 - 1/3*k**2.
-k**2*(k + 1)**3/3
Let i(k) = 39*k**3 - 90*k**2 + 27*k - 27. Let p(u) = 3*u**3 - 7*u**2 + 2*u - 2. Let r(q) = 2*i(q) - 27*p(q). Determine a so that r(a) = 0.
0, 3
Suppose 18/5 - 24/5*z - 4/5*z**2 + 8/5*z**3 + 2/5*z**4 = 0. What is z?
-3, 1
Let u be (0 - -7) + (-279)/45. Let 8/5 + 28/5*o + 36/5*o**2 + 4*o**3 + u*o**4 = 0. Calculate o.
-2, -1
Suppose h = -c, -7*c - 2*h + 9 = -2*c. Determine i so that 3*i**4 + 7*i + 4*i**2 - 14*i**c - 3*i**4 - 2 + 0*i**4 + 7*i**5 - 2*i**4 = 0.
-1, 2/7, 1
Suppose m - 5*u + 12 = 32, 3*u = -3. Suppose -4*s + m = x - 0, -10 = -3*s - 2*x. Factor s + 1 + g**3 - 5 - 2*g**2.
g**2*(g - 2)
Let t = 601 + -599. Determine l so that -2/13*l**t + 0*l + 0 - 4/13*l**3 = 0.
-1/2, 0
Let c be (-4 + 0)*7/(-2). Let y = -12 + c. Factor -2*b + 4/5*b**y + 2*b**3 - 4/5.
2*(b - 1)*(b + 1)*(5*b + 2)/5
Let m(n) be the second derivative of 0 + 4*n - 1/2*n**6 + n**3 + 5/4*n**4 - 3/10*n**5 + 0*n**2. Factor m(q).
-3*q*(q - 1)*(q + 1)*(5*q + 2)
Let i(s) be the third derivative of 0*s + 1/90*s**5 + 0*s**3 - 1/315*s**7 + 3*s**2 + 0 + 1/36*s**4 - 1/180*s**6. Solve i(b) = 0.
-1, 0, 1
Let m = -853 + 4268/5. Factor -12/5*c - 12/5*c**2 - m.
-3*(2*c + 1)**2/5
Factor 0 - 2*s - 8/3*s**2 - 2/3*s**3.
-2*s*(s + 1)*(s + 3)/3
Let f(m) be the third derivative of m**6/840 - m**5/140 + m**4/56 - m**3/42 + 6*m**2. Factor f(q).
(q - 1)**3/7
Let 4/5*f**2 + 0 - 12/5*f = 0. What is f?
0, 3
Let k(a) be the first derivative of 2 + 1/75*a**6 - 1/30*a**4 + 1/15*a**3 - 1/50*a**5 + 0*a**2 + a. Let w(i) be the first derivative of k(i). Factor w(t).
2*t*(t - 1)**2*(t + 1)/5
Let m(s) be the second derivative of -s**4/114 + 8*s**3/57 - 16*s**2/19 + 19*s. Factor m(i).
-2*(i - 4)**2/19
Let 3/2*r**2 + 3*r + 3/2 = 0. What is r?
-1
Factor 3*z**2 - 3/2*z**3 + 0 + 12*z.
-3*z*(z - 4)*(z + 2)/2
Let g = 5 + -1. Suppose 6 = g*n - n. Factor 0*t + 0 + 1/2*t**n + 1/2*t**4 - t**3.
t**2*(t - 1)**2/2
Let u = 232/477 - 14/53. Solve 0*y + 2/9*y**2 - u = 0 for y.
-1, 1
Let h = 2/199 + 790/597. Let 0*c**2 + 0 - 8/3*c**4 - 4*c**3 + h*c = 0. What is c?
-1, 0, 1/2
Let b(p) be the first derivative of -8*p**7/735 + p**6/70 + p**5/105 + 9*p**2/2 - 7. Let k(x) be the second derivative of b(x). Factor k(h).
-4*h**2*(h - 1)*(4*h + 1)/7
Solve 8/5*h + 8/5 + 2/5*h**2 = 0 for h.
-2
Let u(r) = -4*r**2 - 2*r**2 + 2*r**3 + r + 3*r**3. Let t(s) = -20*s**3 + 23*s**2 - 3*s. Let y = 9 + -15. Let g(h) = y*t(h) - 22*u(h). Factor g(f).
2*f*(f - 1)*(5*f + 2)
Let c(d) be the second derivative of -d**7/42 - 7*d**6/30 - d**5/4 + 7*d**4/12 + d**3 - 37*d. Factor c(i).
-i*(i - 1)*(i + 1)**2*(i + 6)
Let n(w) be the third d