 + 21 - 20*o**2 - 4*o + 13*o**2.
-(o - 3)*(o + 7)
Suppose -3*g - 55 = -1. Let b = g - -20. Factor -6*q**2 + 2*q**2 + 8*q**3 + 3*q**b - q**2.
2*q**2*(4*q - 1)
Let b(r) = 3*r**2 + 22*r + 22. Let g(y) = y**3 + 7*y**2 + 2*y + 1. Let h be g(-6). Let j(s) = -35*s**2 - 265*s - 265. Let t(z) = h*b(z) + 2*j(z). Factor t(c).
5*(c + 2)**2
Let d(q) = -q**3 - 5*q**2 - q + 1. Let z be d(-5). Let n(c) = 20*c**2 - 22*c + 8. Let a(m) = -60*m**2 + 67*m - 24. Let p(f) = z*a(f) + 17*n(f). Factor p(b).
-4*(b - 1)*(5*b - 2)
Suppose -o - f + 6 = -1, -2*o + 5 = 5*f. Let g(d) = o + 3*d**2 - 2*d - 2*d + 14*d + 0. Let m(i) = 6*i**2 + 19*i + 19. Let a(v) = 5*g(v) - 2*m(v). Factor a(y).
3*(y + 2)**2
Let f(x) = -x**3 + 7*x**2 + 2*x - 9. Let s be f(7). Factor 4*m**2 - 6*m + m**3 + 4*m + s*m.
m*(m + 1)*(m + 3)
Let u(c) be the third derivative of -c**5/270 + 5*c**4/54 + 43*c**2. Factor u(r).
-2*r*(r - 10)/9
Let i(v) = 70*v**4 + 205*v**3 - 85*v**2 - 630*v - 335. Let p(u) = 17*u**4 + 51*u**3 - 21*u**2 - 157*u - 84. Let q(n) = -6*i(n) + 25*p(n). Factor q(f).
5*(f - 2)*(f + 1)**2*(f + 9)
Factor 0 + 4/9*s - 16/9*s**2 + 17/9*s**3 - 5/9*s**4.
-s*(s - 2)*(s - 1)*(5*s - 2)/9
Let k(u) be the second derivative of -u**7/441 + 2*u**6/63 - u**5/10 - 2*u**4/63 + 4*u**3/9 - 2*u + 7. Determine v, given that k(v) = 0.
-1, 0, 2, 7
Suppose -12964*v - 70 = -12999*v. Find i such that -2*i + 12/5 - 2/5*i**v = 0.
-6, 1
Let s(m) be the third derivative of -5*m**8/336 + m**7/6 - 3*m**6/4 + 5*m**5/3 - 5*m**4/3 - 137*m**2. Factor s(y).
-5*y*(y - 2)**3*(y - 1)
Let f = 75 - 63. Let u be (-9)/6*f/(-9). Solve 2/7*n + 4/7 - 30/7*n**2 - u*n**4 + 38/7*n**3 = 0.
-2/7, 1
Suppose -8 = -c + 2*l - 4, 5*c - 4*l = 14. Let g(u) be the first derivative of -1/8*u**3 + 4 + 0*u + 0*u**c + 1/32*u**4. Determine d so that g(d) = 0.
0, 3
Let l(i) be the third derivative of i**7/630 + i**6/36 + 8*i**5/45 + 4*i**4/9 + i**2 - 21. Factor l(w).
w*(w + 2)*(w + 4)**2/3
Let o(z) be the third derivative of 0*z + 0 + 0*z**3 - 3/8*z**4 - 1/20*z**5 - 3*z**2. Factor o(t).
-3*t*(t + 3)
Factor -1/4*o**2 - 15/2 - 11/4*o.
-(o + 5)*(o + 6)/4
Let a(h) be the third derivative of -h**6/70 - h**5/20 + h**4/28 - 327*h**2. What is g in a(g) = 0?
-2, 0, 1/4
Factor 104/15*d - 1352/15 - 2/15*d**2.
-2*(d - 26)**2/15
Factor 5*z**3 + 813*z**2 - 898*z**2 - 405 + 44 + 455*z - 374.
5*(z - 7)**2*(z - 3)
Let c be 2 + -4*(-4)/8. Let h = -155 + 155. What is x in 9/4*x**3 + 3/4*x + h - 3/4*x**c - 9/4*x**2 = 0?
0, 1
Let u(x) be the third derivative of x**8/84 + 6*x**7/35 - 2*x**6/15 - 52*x**5/5 - 24*x**4 + 547*x**2. Factor u(n).
4*n*(n - 4)*(n + 1)*(n + 6)**2
Let x be (-6)/(-90)*-5*(-1 - 8). Let g be (4 + -8)*1/(-2). Solve 3*s**x + 0*s**2 - 5*s**2 + 4*s**2 - g*s**3 = 0 for s.
0, 1
Let r(l) be the first derivative of 1/3*l**3 - 8*l**2 + 1 + 64*l. Factor r(f).
(f - 8)**2
Suppose 0 = -4*f - 5*b + 37, 4*f - b - 32 = -5*b. Determine j so that -21*j - 19*j**3 - 10*j**f - 12 + 32*j**3 - 6*j**2 = 0.
-1, 4
Let f be 3/((-168)/32) + 23/28. Factor 1/2*l + 1/4*l**4 - f + 0*l**2 - 1/2*l**3.
(l - 1)**3*(l + 1)/4
Let l(j) be the first derivative of -j**3/3 + 4*j**2 + 15. Suppose l(c) = 0. What is c?
0, 8
Let i(s) be the second derivative of 0 - 1/4*s**4 + 1/5*s**3 - 14*s + 0*s**2. Determine a so that i(a) = 0.
0, 2/5
Let g = -310 - -312. Let w(a) be the second derivative of 1/140*a**5 - g*a + 0*a**2 + 0 - 1/28*a**4 + 1/21*a**3. Find f, given that w(f) = 0.
0, 1, 2
Factor -4*j**5 - j**4 - 4*j - 18*j**2 - 3*j**4 + j**3 - 4 + 26*j**2 + 7*j**3.
-4*(j - 1)**2*(j + 1)**3
Let t be -3 - 1 - (-8 - (-42)/7). Let n be (4/t*13/117)/(-1). Factor -2/3*c**2 + 0 - 2/3*c**3 - n*c**4 - 2/9*c.
-2*c*(c + 1)**3/9
Let l(d) be the third derivative of -d**9/5040 - d**8/1120 + d**6/120 + d**5/40 + 3*d**4/2 - 39*d**2. Let m(o) be the second derivative of l(o). Factor m(v).
-3*(v - 1)*(v + 1)**3
Let h(v) be the second derivative of -13*v**5/10 + 25*v**4/12 + v**3/6 + v + 68. Factor h(x).
-x*(x - 1)*(26*x + 1)
Let b = -999/10 + 502/5. Let r(q) be the third derivative of 8*q**2 - 2*q**3 - b*q**4 + 0 - 1/20*q**5 + 0*q. Find p, given that r(p) = 0.
-2
Let i(o) be the first derivative of 2*o**6/3 + 13*o**5/5 - 4*o**4 - 13*o**3/3 + 6*o**2 - 106. Let i(k) = 0. Calculate k.
-4, -1, 0, 3/4, 1
Suppose 3887 = 7*t + 6*t. Let l be (8/(-14))/(-2) + t/644. Suppose 0 + l*w**2 + 3/2*w - 9/4*w**4 - 3*w**3 = 0. Calculate w.
-1, 0, 2/3
Let u(l) = -2*l**2 + 14*l + 34. Let i be u(9). Let c be 3/(2 - 5)*i. Factor 10*n**3 - 2/5 - 14*n**c + 22/5*n.
2*(n - 1)*(5*n - 1)**2/5
Let j(a) be the third derivative of -125/2016*a**8 + 1/8*a**6 - 13/90*a**5 + 0*a**3 + 5/252*a**7 + 0*a + 6*a**2 + 1/18*a**4 + 0. Factor j(z).
-z*(z + 1)*(5*z - 2)**3/6
Solve 1107 - 44*f - 4*f**3 + 48*f**2 - 1107 = 0.
0, 1, 11
Factor 1/4*a**2 + 7/4*a + 0.
a*(a + 7)/4
Let g(b) = -2*b**3 - 8*b**2 - 11*b + 64. Let w be g(-4). Find k, given that -243/2 + w*k - 24*k**2 = 0.
9/4
Suppose 0 = 103*q - 109*q + 288. Let i = q - 48. Factor i*l**2 + 0*l**4 + 4/7*l**3 - 2/7*l - 2/7*l**5 + 0.
-2*l*(l - 1)**2*(l + 1)**2/7
Let p(a) be the second derivative of -2*a**6/5 - a**5/5 + 7*a**4/3 + 10*a**3/3 + 111*a. Determine n, given that p(n) = 0.
-1, 0, 5/3
Let r = 16037/10 - 1602. Let b(f) be the second derivative of 17/3*f**4 + 28/3*f**3 + r*f**5 + 0 + 1/5*f**6 + 8*f**2 + 5*f. Factor b(z).
2*(z + 1)*(z + 2)**2*(3*z + 2)
Factor 5/2*v**3 + 0 + 20*v**2 + 40*v.
5*v*(v + 4)**2/2
Let x(y) be the first derivative of y**5/12 - 5*y**4/3 + 40*y**3/3 - 11*y**2/2 - 10. Let q(w) be the second derivative of x(w). Find o, given that q(o) = 0.
4
What is f in 112*f**2 - 5*f**4 - 23*f**4 - 25*f**3 - 22*f + 8*f**3 - 23*f**3 - 10*f + 12*f**5 = 0?
-2, 0, 1/3, 2
Let h be ((3 - -2)/(-40))/(1/(-3)). Let a(o) be the third derivative of 0*o + 0*o**3 - 1/10*o**5 - h*o**4 + 0 + 1/8*o**6 - 4*o**2. Find i such that a(i) = 0.
-3/5, 0, 1
Let o be 1/5 - (-19297)/115. Factor -12 - o*j**2 + 483*j + 78*j**3 - 30*j**3 - 576*j.
3*(j - 4)*(4*j + 1)**2
Let w(h) = -4*h**2 - 96*h - 2031. Let m(s) = s**2 + 2*s + 2. Let t(c) = 6*m(c) + 2*w(c). Factor t(p).
-2*(p + 45)**2
Let w(z) be the second derivative of -z**7/11340 - z**6/1080 - z**5/270 - 19*z**4/12 - z - 4. Let m(a) be the third derivative of w(a). Solve m(q) = 0 for q.
-2, -1
Let i(w) be the first derivative of w**5/105 - w**4/42 + w**2 + 10*w + 10. Let t(v) be the second derivative of i(v). Factor t(y).
4*y*(y - 1)/7
Let q be 1/((-5)/20) + (1200/(-56))/(-5). Factor 0*h**2 + 0 - 3/7*h**4 - 1/7*h**5 + 0*h - q*h**3.
-h**3*(h + 1)*(h + 2)/7
Suppose -65*j**3 + 70*j**3 + 612*j**2 + 39015*j + 153*j**2 + 663255 = 0. Calculate j.
-51
Let w be (70 - 70)/(2*2/(-4)). Let k(t) be the third derivative of 7*t**2 - 3/2*t**3 + 0 + 1/2*t**4 + w*t - 1/20*t**5. Factor k(m).
-3*(m - 3)*(m - 1)
Let b(j) = j**2 - j. Let y(m) = 3*m**2 + 166*m - 169. Let o(v) = -2*b(v) + y(v). Let o(s) = 0. Calculate s.
-169, 1
Let u(p) be the first derivative of -p**6/6 - p**5 - 3*p**4/4 + 5*p**3/3 + 2*p**2 - 25. Determine l so that u(l) = 0.
-4, -1, 0, 1
Let p = 1664 + -1664. What is z in 0 + 2/7*z - 2/7*z**3 + p*z**2 = 0?
-1, 0, 1
Let f(k) be the first derivative of k**3/21 + 219*k**2/7 + 47961*k/7 - 138. Suppose f(p) = 0. What is p?
-219
Factor 4/5*s**2 + 2/5*s**5 + 0*s**4 - 4/5 + 6/5*s - 8/5*s**3.
2*(s - 1)**3*(s + 1)*(s + 2)/5
Let g(j) = 15*j - 9. Let l be g(1). Solve 3 - 51*y + 5*y**2 + 3*y**3 + 16*y**2 + 30 - l = 0.
-9, 1
Let k(i) be the second derivative of -i**7/14 - 11*i**6/10 - 24*i**5/5 - 7*i**4 + 47*i. Solve k(o) = 0.
-7, -2, 0
What is r in 3*r**2 + 266 + 15*r - 194 + 52*r + 8*r = 0?
-24, -1
Let a be -2 + 3/1 + 0/(-6). Let r(i) be the first derivative of 9/5*i**2 - a + 4/5*i + 14/15*i**3. Solve r(j) = 0 for j.
-1, -2/7
Factor -3*c + c**4 - 4*c**3 - c + 2*c**2 - 4 + 13*c**3 - 5*c**3 + 1.
(c - 1)*(c + 1)**2*(c + 3)
Suppose -2*w - 3*w = -130. Let r = w + -23. Factor 10*a**r + 8 + 2 + 0*a + 8*a - 2 - 26*a**2.
2*(a - 2)*(a - 1)*(5*a + 2)
Let o(t) be the second derivative of -2*t**6/135 - 2*t**5/45 + t**4/9 + 8*t**3/27 - 8*t**2/9 + t + 50. Solve o(m) = 0 for m.
-2, 1
Let k(p) = 61*p - 850. Let s be k(14). Let -2/3*m**2 + 5*m - 14/3*m**3 - 1/3*m**5 - 7/3*m**s + 3 = 0. Calculate m.
-3, -1, 1
Let p(w) be the first derivative of 25 + 18*w**2 + 162*w + 2/3*w**3. Factor p(k).
2*(k + 9)**2
Let z(h) = -