7*m**a + 0*m = 0.
-2/3, 0
Let u(j) = -9*j**3 + 186*j**2 - 367*j + 176. Let k(o) = 29*o**3 - 556*o**2 + 1102*o - 526. Let x(h) = -2*k(h) - 7*u(h). Factor x(i).
5*(i - 36)*(i - 1)**2
Suppose 5*j - 9 = j + t, -5*j = 2*t - 21. Let n(k) = 2*k - 7. Let i be n(6). Find d, given that 72*d - 72*d + 2*d**3 - 4*d**i + 2*d**j = 0.
-1, 0, 1
Let l(u) = 7*u**2 - 3*u - 4. Suppose -3*f - 3 = -5*d, -2*f + 2 - 9 = -5*d. Let v(y) = -48*y**2 + 21*y + 27. Let c(r) = f*v(r) + 27*l(r). Factor c(p).
-3*p*(p - 1)
Let h = -10 - -14. Let a(g) = 5*g**2 - 5. Let b(p) = -11*p**2 + 11. Let l(r) = h*b(r) + 9*a(r). Let l(j) = 0. Calculate j.
-1, 1
Let v(t) be the third derivative of t**9/26460 - t**7/4410 + 25*t**4/24 + 13*t**2. Let q(h) be the second derivative of v(h). Factor q(a).
4*a**2*(a - 1)*(a + 1)/7
Determine f, given that -2*f - 2/3*f**3 + 68/9*f**2 - 44/9 = 0.
-2/3, 1, 11
Let t(v) = 64*v + 18. Let o be t(-4). Let i = -238 - o. Find y such that -4/5*y + i - 2/5*y**2 = 0.
-2, 0
Let k = 2192 - 6575/3. Factor a**2 - k*a + 10/9*a**3 - 2/9.
(a + 1)*(2*a - 1)*(5*a + 2)/9
Suppose -5*m - 5*x = 20, 0 - 13 = -2*m + 5*x. Let a be (25 + -24)/(1 + m/2). Suppose 12/7*v**4 + 0*v + 0 - 4/7*v**5 + 4/7*v**a - 12/7*v**3 = 0. What is v?
0, 1
Let m(x) be the second derivative of 5/6*x**3 - 7/12*x**4 + 0 + x**2 - 9*x. Factor m(b).
-(b - 1)*(7*b + 2)
Let l(i) be the second derivative of -i**5/10 + 71*i**4/6 - 70*i**3/3 + 33*i - 7. What is r in l(r) = 0?
0, 1, 70
Let h(c) be the third derivative of c**8/840 - 53*c**7/525 - 11*c**6/20 - 167*c**5/150 - 14*c**4/15 + 809*c**2. Factor h(d).
2*d*(d - 56)*(d + 1)**3/5
Let k(m) be the first derivative of -m**6/360 + m**5/12 - 25*m**4/24 + 8*m**3/3 + 7. Let g(u) be the third derivative of k(u). Factor g(x).
-(x - 5)**2
Let k(b) = -2*b**5 - 7*b**4 + b**3 + 2*b**2 + b. Let f(q) = -q**5 - 4*q**4 + q**2 + q. Let x(m) = -5*f(m) + 3*k(m). Let x(z) = 0. What is z?
-2, -1, 0, 1
Find u such that 9 + 97*u**2 - 2*u**3 - 42*u**4 - 115/2*u - 9/2*u**5 = 0.
-9, -2, 1/3, 1
Let g(p) = -21*p - 20. Let f be g(6). Let b = 148 + f. Let 4/5 + 2/5*k**b + 6/5*k = 0. What is k?
-2, -1
Determine f, given that 198/5*f + 26/5*f**3 + 54/5 - 30*f**2 = 0.
-3/13, 3
Factor -53*o**2 + 46*o + 10*o**3 - 12*o**2 + 4*o + 5*o**4.
5*o*(o - 2)*(o - 1)*(o + 5)
Let j be 3 + -3 - -4 - 1. Suppose -2*a + a + 3 = -4*v, -9 = v - j*a. Suppose 18/5*f**2 + v + 32/5*f**4 + 2/5*f + 48/5*f**3 = 0. Calculate f.
-1, -1/4, 0
Let 20/3 - 134/3*d - 14*d**3 + 236/3*d**2 = 0. Calculate d.
2/7, 1/3, 5
Factor -5*o**3 + 2*o**3 - 1968*o - 48*o**2 + 2019*o.
-3*o*(o - 1)*(o + 17)
Let g be -1*(3 + (-5)/1). Solve -3*r**3 - 3*r**3 + 12*r**2 + 0*r**3 + g*r**3 - 8*r = 0 for r.
0, 1, 2
Let d(n) = -4*n**2 - 6*n + 22. Let s(z) = 17*z**2 + 24*z - 89. Let y(p) = 18*d(p) + 4*s(p). Factor y(h).
-4*(h - 2)*(h + 5)
Let z(t) be the third derivative of -2*t**7/105 - 11*t**6/120 + 19*t**5/60 - t**4/6 + 16*t**2. Factor z(w).
-w*(w - 1)*(w + 4)*(4*w - 1)
Find w, given that 4*w**3 + 28/5*w - 8/5 - 4/5*w**4 - 36/5*w**2 = 0.
1, 2
Let h(t) be the second derivative of 9*t**4/20 + 7*t**3/10 - 3*t**2/5 + 80*t. Find q, given that h(q) = 0.
-1, 2/9
Let w(o) = o**2 + o + 1. Let t(k) = 2*k**3 - 10*k**2 - 20*k - 14. Let u = 121 + -133. Let a(x) = u*w(x) - 2*t(x). Factor a(m).
-4*(m - 4)*(m + 1)**2
Factor -1/4*s - 1/8*s**2 + 0.
-s*(s + 2)/8
Let q(u) be the third derivative of 3*u**8/224 + u**7/8 + 33*u**6/80 + 9*u**5/20 - u**4/4 + u**2 - 14*u. Let q(o) = 0. What is o?
-2, 0, 1/6
Let y = 1823/11 - 165. Let t = -530 + 5838/11. Solve -6/11*f**2 - 2/11 - t*f**3 + y*f**4 + 8/11*f = 0 for f.
-1, 1/2, 1
Let v(u) be the third derivative of 0*u**3 + 0*u - 3*u**2 + 1/28*u**4 - 1/210*u**5 + 0. Factor v(h).
-2*h*(h - 3)/7
Let p be (371/49 - 7)/2. Let m = -188/77 - -30/11. Factor 0 + 0*x + 6/7*x**3 + m*x**5 - 6/7*x**4 - p*x**2.
2*x**2*(x - 1)**3/7
Let a(m) = -4*m**4 - m**3 + 3*m**2 + m - 2. Let f(o) = -o**4 - o**3 + o**2 + o - 1. Let c = -41 - -44. Let u(g) = c*f(g) - a(g). Factor u(s).
(s - 1)**3*(s + 1)
Let l(s) be the first derivative of s**5/5 - 2*s**3 + 4*s**2 - 38*s + 4. Let n(v) be the first derivative of l(v). Solve n(r) = 0 for r.
-2, 1
Factor -7*b**2 - 28*b + 24 - 109*b**4 + 12*b**3 + 2*b**2 + 43*b**4 + 70*b**4 - 7*b**2.
4*(b - 1)**2*(b + 2)*(b + 3)
Let l = -15/22 - -247/330. Let q(h) be the third derivative of 1/105*h**7 + 0 - l*h**6 + 1/6*h**5 - 1/6*h**4 - 8*h**2 + 0*h + 0*h**3. Factor q(s).
2*s*(s - 2)*(s - 1)**2
Let a(d) be the third derivative of d**6/1080 + d**5/360 - d**4/36 + 5*d**3/6 - 7*d**2. Let u(x) be the first derivative of a(x). Factor u(n).
(n - 1)*(n + 2)/3
Let p(k) = 4*k - 4. Let o(g) = 20*g - 20. Let m(n) = 5*o(n) - 24*p(n). Let s be m(2). Factor -2*t**3 + 15*t**s + 12*t**5 + 6*t**3 - t**3.
3*t**3*(t + 1)*(4*t + 1)
Let g = 1821 + -1819. Solve 10/9*s**3 - 2/3*s**g - 2/9*s**4 + 8/9 - 10/9*s = 0 for s.
-1, 1, 4
Let m(n) be the first derivative of 14 - 4/3*n**3 + 0*n**2 + 0*n - n**4. Factor m(j).
-4*j**2*(j + 1)
Suppose -7*d - 1 = x - 2*d, -2*x + 7 = d. Let n(t) = 3*t**2 + 3 + 9*t + x*t**2 + 4*t**2 - 5*t**2. Let m(p) = p**2 + p. Let j(h) = -3*m(h) + n(h). Factor j(s).
3*(s + 1)**2
Suppose v + 2 = 4. Suppose -v*n + 8 = n - 2*w, -20 = n + 5*w. Let 0 + 6/5*y**3 + n*y + 0*y**2 + 3/5*y**5 - 9/5*y**4 = 0. Calculate y.
0, 1, 2
Let h(y) be the first derivative of -8*y**3/21 + 25*y**2/7 - 12*y/7 + 129. Factor h(d).
-2*(d - 6)*(4*d - 1)/7
Let r = 166/119 - -38/119. Factor -r*v**3 - 4/7*v**5 + 0 + 12/7*v**4 + 4/7*v**2 + 0*v.
-4*v**2*(v - 1)**3/7
Let g(h) = -h**2 - 19*h - 18. Let t be g(-18). Factor 8*r**3 - 35*r**4 + 82*r**3 + 40*r + 5*r**5 + t*r**2 - 100*r**2.
5*r*(r - 2)**3*(r - 1)
Determine x, given that 35*x - 5*x**4 + 68*x**2 + 25*x**3 - 68*x**2 - 45*x**2 - 10 = 0.
1, 2
Let m(w) be the third derivative of -1/30*w**5 - 1/12*w**4 + 0*w + 1/6*w**3 - 1/180*w**6 + 0 - 2*w**2. Let j(n) be the first derivative of m(n). Factor j(f).
-2*(f + 1)**2
Factor 18*x - 30*x**2 - 2 - 2*x - 11*x + 27*x.
-2*(x - 1)*(15*x - 1)
Let s(z) be the first derivative of z**4/22 - 4*z**3/11 - 7*z**2/11 + 38. Find t such that s(t) = 0.
-1, 0, 7
Let m(g) be the third derivative of g**7/105 - 13*g**6/180 + 19*g**5/90 - 11*g**4/36 + 2*g**3/9 + 19*g**2 - 3. Solve m(i) = 0 for i.
1/3, 1, 2
Let g(x) = x + 7. Let c be g(5). Let b = c - 12. Suppose 0*r - 4*r**2 - 3*r + 4*r**4 + b*r**2 + 5*r - 2*r**5 = 0. What is r?
-1, 0, 1
Suppose 15*b = 651 + 1104. Let x be (1 - b/(-18)) + 3/(-2). Factor x + 3/2*a**2 - 6*a.
3*(a - 2)**2/2
Let q(t) be the first derivative of -t**5/15 - t**4/12 + t**3/9 + t**2/6 + 293. Solve q(m) = 0.
-1, 0, 1
Let o = -1/6493 - -12995/58437. Factor -50/9*q**2 - 14/9*q**4 - o*q**5 - 32/9*q - 38/9*q**3 - 8/9.
-2*(q + 1)**3*(q + 2)**2/9
Let f(p) = p**2 - 29*p + 157. Let g be f(7). Determine z, given that -5/2*z**2 - 3/4*z**g + 2 - z = 0.
-2, 2/3
Suppose 5*k + k + 18 = 0. Let o(d) = -d**2 + d - 1. Let v(t) = 3*t**3 + 3*t + t**3 - 11 + 3*t**2 - 6*t**3. Let i(l) = k*o(l) + v(l). Factor i(m).
-2*(m - 2)**2*(m + 1)
Let r be 1*(744/(-558))/((-2)/3). Determine a, given that -3/2*a**r + 15*a - 75/2 = 0.
5
Factor -2/5*v**2 - 72/5*v - 14.
-2*(v + 1)*(v + 35)/5
Suppose -b - 2*v = -52, 0 = 3*b + 6*v - 11*v - 167. Find y such that -2*y**2 + 5*y**2 - 50*y - y**2 + b*y = 0.
-2, 0
Let s be (6/45)/((224/(-12))/(-2)). Let w(t) be the second derivative of 0 + 5*t + 1/6*t**4 + 9/7*t**2 + s*t**5 + 5/7*t**3. Let w(d) = 0. Calculate d.
-3, -1
Let w be -2 + (-25)/(-10) - (-3)/2. Factor 4*k**2 + 7*k**2 + 13*k**w - 48*k - 3*k**3.
-3*k*(k - 4)**2
Let v(s) be the third derivative of -s**5/60 + 55*s**4/12 - 3025*s**3/6 - 9*s**2 + 16. Find x such that v(x) = 0.
55
Let y be (-30)/(-4)*54/45. Suppose 5*q - 26 = p, 3*q - 5*p - y = 11. Factor 2*m**2 + q - 2 - 4*m - 1.
2*(m - 1)**2
Let q(w) be the third derivative of -w**7/735 - 11*w**6/420 - 13*w**5/105 - 4*w**4/21 + 138*w**2. Solve q(a) = 0 for a.
-8, -2, -1, 0
Let i(u) be the first derivative of 5*u**6/6 + 3*u**5 - 5*u**4/4 - 55*u**3/3 - 30*u**2 - 20*u + 122. Solve i(j) = 0.
-2, -1, 2
Let w(l) be the first derivative of 3*l**4/14 + 24*l**3/7 + 51*l**2/7 - 180*l/7 + 674. What is k in w(k) = 0?
-10, -3, 1
Factor -14/9*r - 2/9*r**2 + 4.
-2*(r - 2)*(r + 9)/9
Let w(x) be the third derivative of -x**5/20 - 3*x**4/4 - 4*x**3 + 6*x**2 - 2*x. Factor w