 q*h. What is f in -2/7 - 2/7*f**h - 4/7*f = 0?
-1
Factor -1287*z**2 + 589*z**4 - 291*z**4 - 3468 - 3876*z - 301*z**4 + z**3 - 115*z**3.
-3*(z + 2)**2*(z + 17)**2
Find q such that -8/9 - 10/3*q**2 - 14/9*q**3 - 26/9*q - 2/9*q**4 = 0.
-4, -1
Let a = -7484/7 - -24328/21. Let h = -89 + a. Solve -4/3*m + h*m**2 + 4/3 = 0 for m.
2
Let t(u) be the third derivative of u**5/30 - u**4 - 15*u**3 - 91*u**2. Let t(j) = 0. What is j?
-3, 15
Let t(m) = 29*m**2 + 5*m + 12. Let y be t(-5). Determine l so that -2 - y*l + 712*l + 2*l**2 = 0.
-1, 1
Suppose -v + 13 = 4*w, 5*w + v = 3*v + 13. Find m, given that -2/9*m**5 - 2/9*m - 4/9*m**2 + 4/9*m**w + 2/9 + 2/9*m**4 = 0.
-1, 1
Let i be (-12)/(-18) + (-20)/(-6). Suppose -4 = -l + 32. Factor -18 - l*z + 18 - i*z**3 + 24*z**2.
-4*z*(z - 3)**2
Let v(i) be the second derivative of i**3 + 0*i**2 + 0*i**5 + 6*i + 0 + 0*i**4 + 1/120*i**6. Let l(z) be the second derivative of v(z). Factor l(w).
3*w**2
Suppose -4*t + 5*n = 59, 5*t - 4*t - 4 = -5*n. Let h be -7 + 3/1 - t. Factor -15*x + 3*x**3 - 2*x**2 - 6 + 5*x**4 - h*x**2 - 2*x**4.
3*(x - 2)*(x + 1)**3
Let n(o) be the first derivative of -1/48*o**4 + 0*o**2 + 2*o - 1/24*o**3 - 5. Let x(p) be the first derivative of n(p). Factor x(q).
-q*(q + 1)/4
Let b(j) be the third derivative of j**6/72 - j**5/30 - j**4/8 + j**3/9 + 50*j**2. Solve b(d) = 0.
-1, 1/5, 2
Let x(v) = 9*v**4 - 310*v**3 - 8103*v**2 + 17176*v - 8744. Let y(f) = -6*f**4 + 312*f**3 + 8103*f**2 - 17175*f + 8745. Let j(q) = 3*x(q) + 4*y(q). Factor j(p).
3*(p - 1)**2*(p + 54)**2
Let b = -2515 - -13072/5. Let w = b + -99. Find o such that -6/5 - 8/5*o - w*o**2 = 0.
-3, -1
Let h(u) be the first derivative of 76/3*u**3 + 16*u + 1/3*u**6 + 16/5*u**5 + 25/2*u**4 + 28*u**2 + 45. Factor h(o).
2*(o + 1)**2*(o + 2)**3
Let k(u) be the first derivative of u**7/420 + u**6/180 - u**5/12 + u**4/4 + 16*u**3/3 - 20. Let f(w) be the third derivative of k(w). What is o in f(o) = 0?
-3, 1
Let g be (8/32 + 9/12)*3. Solve -1/2*y**4 - 2*y + 4 + 5/2*y**g - 3*y**2 = 0 for y.
-1, 2
Let o be 11 + ((-786)/120 - 6/24). Determine u so that -3*u**3 + o*u**2 - 6/5*u + 0 = 0.
0, 2/5, 1
Solve 33*n**3 + 16*n**4 + 6*n**2 + 21*n**2 - 77*n**3 - 3*n**2 + 4*n**5 = 0 for n.
-6, 0, 1
Let y(s) be the first derivative of s**5/40 + s**4/12 - 5*s**3/12 - 3*s**2/2 - 36*s + 33. Let r(b) be the first derivative of y(b). Factor r(w).
(w - 2)*(w + 1)*(w + 3)/2
Let v be 0 + 11 - (96/6)/4. Determine b, given that v*b**3 + 10 + 18*b**2 + 23*b - 24*b**2 - 34*b**2 = 0.
-2/7, 1, 5
Determine k, given that 3/2*k**4 - 3/2*k**5 - 9*k - 3/2*k**2 + 0 + 21/2*k**3 = 0.
-2, -1, 0, 1, 3
Let z(r) be the second derivative of r**5/110 + 5*r**4/66 - r**3/33 - 5*r**2/11 - 197*r + 2. Factor z(x).
2*(x - 1)*(x + 1)*(x + 5)/11
Let p = 5428/19 + -286. Let x = 68/95 + p. Factor -x*l**2 + 0 + 0*l.
-2*l**2/5
Let i(z) = -z**2 + z - 1. Let d(n) = -60 + 35*n + 20 + 114*n**2 - 134*n**2. Let y(a) = -d(a) + 25*i(a). Determine w so that y(w) = 0.
-3, 1
Let q(s) = s**2 - s. Let r(m) = m**3 - 12*m**2 + 26*m. Let t(y) = 2*q(y) + r(y). Suppose t(u) = 0. Calculate u.
0, 4, 6
Let k(o) be the first derivative of 0*o - 1/11*o**2 + 1/22*o**4 - 2/33*o**3 + 38 + 2/55*o**5. Factor k(j).
2*j*(j - 1)*(j + 1)**2/11
Suppose 3*m - 15 - 9 = 0. Let k = m - 5. Factor -1 + 1 + 2*b**2 - k*b**2 - 2*b.
-b*(b + 2)
Let p(j) be the second derivative of 0*j**2 + 0 - j + 11/210*j**5 + 1/21*j**4 + 0*j**3. Factor p(z).
2*z**2*(11*z + 6)/21
Let u(v) be the third derivative of v**7/280 - v**6/30 + v**5/10 + 2*v**3/3 - 14*v**2. Let a(o) be the first derivative of u(o). Find b, given that a(b) = 0.
0, 2
Let t(g) be the third derivative of -g**6/40 - g**5/10 + 11*g**4/8 + 6*g**3 - 678*g**2. Factor t(d).
-3*(d - 3)*(d + 1)*(d + 4)
Let x(b) be the second derivative of 0*b**2 - 7 - 3*b - 8/15*b**4 - 2/75*b**6 + 0*b**3 + 6/25*b**5. Factor x(k).
-4*k**2*(k - 4)*(k - 2)/5
Let t be (-22)/77 + (-28)/(-98). Factor 9/5*p + t + 3/5*p**2.
3*p*(p + 3)/5
Let h(f) = f**3 + f + 1. Let v(m) = m**3 + 5*m. Suppose -o + 0*o = 3*s - 2, 5*s = 5*o + 10. Let a(g) = s*v(g) - 2*h(g). Factor a(b).
-(b - 1)**2*(b + 2)
Let u(x) be the second derivative of -3*x**5/160 + 3*x**4/32 + 9*x**3/16 + 15*x**2/16 + 320*x. Factor u(d).
-3*(d - 5)*(d + 1)**2/8
Let n(k) be the second derivative of -32*k**7/21 + 176*k**6/15 - 33*k**5/5 - 34*k**4/3 - 10*k**3/3 - 250*k. Let n(m) = 0. Calculate m.
-1/4, 0, 1, 5
Let g(f) be the first derivative of f**3/9 + 2*f**2 + 20*f/3 + 237. Let g(t) = 0. Calculate t.
-10, -2
Suppose 0 = 4*h - h - 30. Suppose -h = -12*j + 7*j. Determine a, given that 4*a**2 + 15*a**2 - 3 + 8*a**j = 0.
-1/3, 1/3
Let l be (1 - 2 - -7)/(213/4). Let b = l + 196/781. Factor 6/11*o**2 + 0 + b*o + 2/11*o**3.
2*o*(o + 1)*(o + 2)/11
Let o = 143021/5 - 28603. Factor o*h + 2/5*h**3 + 0 - 8/5*h**2.
2*h*(h - 3)*(h - 1)/5
Factor -4/9*z - 4/9*z**4 + 0 + 4/9*z**3 + 4/9*z**2.
-4*z*(z - 1)**2*(z + 1)/9
Let a(k) be the first derivative of 2*k**7/105 + k**6/15 - 8*k**2 - 12. Let u(x) be the second derivative of a(x). What is z in u(z) = 0?
-2, 0
Let j be ((-616)/1386)/(2/(-9)). Factor -2/9*r**j + 2/9*r + 4/3.
-2*(r - 3)*(r + 2)/9
Let b(i) = 14*i**3 - 36*i**2 - 162*i - 182. Let y(f) = -2*f**3 - f + 1. Let k(w) = b(w) + 6*y(w). Let k(v) = 0. What is v?
-2, 22
Let p(b) = b**3 + 9*b**2 - 15*b - 48. Let q be p(-10). Factor -13/3*x + q + 4/3*x**2 + x**3.
(x - 1)*(x + 3)*(3*x - 2)/3
Let u be ((-76)/(-190))/((-7)/(-70)). Factor 0 + 0*w - 1/6*w**u + 2/3*w**3 + 5/6*w**2.
-w**2*(w - 5)*(w + 1)/6
Let j(h) = -h**2 - 2*h + 2. Let o(n) = -41*n**2 + 104*n - 20. Let s(m) = -4*j(m) - o(m). What is b in s(b) = 0?
2/15, 2
Let w(k) be the first derivative of 0*k**2 + 2/15*k**5 - 4/9*k**3 - 18 + 0*k**4 + 2/3*k. Factor w(u).
2*(u - 1)**2*(u + 1)**2/3
Let p(q) be the second derivative of 0 + 1/12*q**6 - 2*q**3 - 7/24*q**5 + 5/24*q**4 + 2*q + 0*q**2. Let y(l) be the second derivative of p(l). Factor y(r).
5*(r - 1)*(6*r - 1)
Let t = -75655/1001 - 101/143. Let r = -74 - t. Factor -r*x**2 - 1/7 - 8/7*x.
-(4*x + 1)**2/7
Let s(l) be the first derivative of -21/8*l - 3/2*l**2 - 1/8*l**3 - 15. Suppose s(a) = 0. What is a?
-7, -1
Let d(a) be the first derivative of -a**6/420 + 2*a**5/105 - a**4/21 + 13*a**2/2 + 2. Let y(t) be the second derivative of d(t). Factor y(k).
-2*k*(k - 2)**2/7
Let y(z) = -35*z**4 - 15*z**3 + 90*z**2 + 70*z - 15. Let m(u) = 5*u**4 + 2*u**3 - 13*u**2 - 10*u + 2. Let c(w) = 15*m(w) + 2*y(w). Factor c(k).
5*k*(k - 2)*(k + 1)**2
Factor -16/9*o - 32/9 - 2/9*o**3 + 14/9*o**2.
-2*(o - 4)**2*(o + 1)/9
Let 75/2 + 63/8*c**2 - 3/8*c**3 - 45*c = 0. Calculate c.
1, 10
Let j = 11297158 + -23893488682/2115. Let m = j + -2/235. Factor 2/9 - m*g**2 - 8/9*g + 8/9*g**3.
2*(g - 1)*(g + 1)*(4*g - 1)/9
Suppose g - 2*g - 79 = 5*r, -3*r - 15 = 0. Let f = 60 + g. Factor 2/3*q**2 + 4*q + f.
2*(q + 3)**2/3
Let u be 6/(-36) - (-309)/18. Let i be u - ((4 - 4) + -1). Factor -q - 9 + i + 4*q + q**2 + 3*q.
(q + 3)**2
Let q(g) = -2*g**2 - 122*g - 1380. Let i be q(-46). Let 3/5*d**2 + 1/5*d - 3/5*d**4 - 1/5*d**3 + i = 0. What is d?
-1, -1/3, 0, 1
Let t = -1168 - -1172. Let r(w) be the third derivative of 1/60*w**t + 0*w - 3*w**2 + 0*w**3 + 0 - 1/100*w**5. Suppose r(g) = 0. Calculate g.
0, 2/3
Factor 107 - 3*u**4 - u**4 - 4*u**3 - 103 - 7*u + 0*u**5 + 2*u**5 - 7*u + 16*u**2.
2*(u - 1)**4*(u + 2)
Let z(i) be the third derivative of i**7/630 + i**6/120 - 31*i**5/60 + 205*i**4/72 + 50*i**3/3 - i**2 + 390. Solve z(f) = 0.
-12, -1, 5
Suppose 3*v - 61 + 64 = 0. Let r be 1/v*((2 - 6) + 4). Factor -4/3*s**3 - 2*s**4 + 0*s - 2/3*s**5 + r + 0*s**2.
-2*s**3*(s + 1)*(s + 2)/3
Let x(q) be the first derivative of -q**4/24 + 7*q**3/18 - 5*q**2/4 + 3*q/2 - 201. Find f such that x(f) = 0.
1, 3
Let d be 1*-13 + (4 - 4). Let q(k) = 3*k + 39. Let w be q(d). Factor w*p - 1/3 + 1/3*p**2.
(p - 1)*(p + 1)/3
Let x be ((-2)/(-2))/(2/(-24)). Let f be (-2)/(-6) - 44/x. Factor 0 + 1/4*v**3 + 0*v + 1/4*v**f + 0*v**2.
v**3*(v + 1)/4
Let z(p) = -5*p**3 + p**2 - 2*p - 3. Let y be z(-1). Let d(b) be the third derivative of 1/60*b**4 + 0*b - 1/150*b**y + 0 - 5*b**2 + 2/15*b**3. Factor d(l).
-2*(l - 2)*(l + 1)/5
Factor 0 - 26/11*r**2 - 4*r - 2/11*r**3.
-2*r*(r + 2)*(r + 11)/11
Suppose -4 = 36*i - 76. Suppose 0 + 1/3*a**3 + 0*a**i + 0*a + 1/6*a**4 = 