 1/20*r**5 + 20*r + 0 - 1/3*r**4 + 0*r**2 - 5/6*r**3. Factor x(u).
u*(u - 5)*(u + 1)
Let t(b) = b**2 - b. Let q(u) = -6*u**2 + 5*u + 9. Let c(o) = -q(o) - 5*t(o). Let z be c(3). Factor -3*x**2 + 0*x**3 + 3/2 + z*x + 3/2*x**4.
3*(x - 1)**2*(x + 1)**2/2
Let o be 1 + -1 + 24/(-6). Let c(f) = -5*f**2 - f + 14. Let y(l) = -30*l**2 - 5*l + 85. Let n(j) = o*y(j) + 25*c(j). Factor n(m).
-5*(m - 1)*(m + 2)
Let l(x) = 3*x + 13 + x**3 - 2*x**2 + 19*x**2 + 14*x + 3. Let k be l(-16). Factor 2/11*u**5 + k*u + 0*u**3 + 0 + 0*u**2 + 2/11*u**4.
2*u**4*(u + 1)/11
Let d = -33 + 98. Factor p**3 - 41 + 4*p**4 + 11*p**3 + d - 12*p**2 - 28*p.
4*(p - 1)**2*(p + 2)*(p + 3)
Suppose o = 4*o - 6. Solve g**5 + 0*g**o - 6*g**5 - 4*g**2 - 15*g**3 - g**2 - 15*g**4 = 0 for g.
-1, 0
Let a(o) be the third derivative of -o**6/24 + 39*o**5/4 - 7605*o**4/8 + 98865*o**3/2 + 67*o**2. Factor a(w).
-5*(w - 39)**3
Let g(r) be the third derivative of r**5/90 + 5*r**4/3 + 100*r**3 - 14*r**2 - 1. Factor g(l).
2*(l + 30)**2/3
Let j(r) be the first derivative of r**3/3 + r - 3. Let d be j(-1). Find i such that -d*i - 2*i**5 - 2 - 4*i**3 + 0*i + 8*i**3 - 2*i**4 + 4*i**2 = 0.
-1, 1
Let w(y) be the first derivative of -2*y**5/15 - 7*y**4/4 - 5*y**3/3 + y**2 - 4. Let j(k) be the second derivative of w(k). Find t such that j(t) = 0.
-5, -1/4
Let l(w) = -5*w**2 - 35*w. Let u(q) = 2*q**2 + 18*q. Suppose -f + 16 = 4*a, -2*a = 3*a + 4*f - 31. Let y(r) = a*l(r) + 5*u(r). Suppose y(t) = 0. What is t?
-3, 0
Let n be (-219)/(-42) + (-4)/(-14). Suppose -2*b + 26 = 5*m, -15*b + 19*b - 24 = -3*m. Suppose -d + 7/2*d**m + 0 + n*d**2 - 8*d**3 = 0. What is d?
0, 2/7, 1
Suppose 25 = 4*i + 5. Suppose 4*u + 3*c + 8 - 45 = 0, -5*u = i*c - 50. Suppose 0*t**2 - t + 5*t - u*t + 3*t**2 = 0. Calculate t.
0, 1
Let -14*d - 5*d**4 + 35*d**3 - 78*d**2 + 18*d**2 + 80 + d - 7*d = 0. What is d?
-1, 2, 4
Suppose 47/2 + 23*h - 1/2*h**2 = 0. What is h?
-1, 47
Factor -1/2*w**2 - 24*w - 288.
-(w + 24)**2/2
Let f(c) be the second derivative of c**8/336 - c**6/24 - c**5/12 + 13*c**3/6 - 15*c. Let g(y) be the second derivative of f(y). Solve g(s) = 0 for s.
-1, 0, 2
Let l(j) be the third derivative of j**5/140 + j**4/7 - 9*j**3/14 - 165*j**2. Suppose l(i) = 0. What is i?
-9, 1
Let l = 157 + -784/5. Let g(o) be the second derivative of 1/5*o**3 - 1/6*o**4 - 3/50*o**5 + o + 0 + 4/75*o**6 + l*o**2. Determine z, given that g(z) = 0.
-1, -1/4, 1
Let i(t) = 2 + 9*t**2 + 5*t - 10*t**2 + 0. Let v be i(5). Suppose 0*q**3 + 4/5*q**5 + 0 - 4/5*q - 8/5*q**v + 8/5*q**4 = 0. What is q?
-1, 0, 1
Let g(i) be the third derivative of i**6/240 + 3*i**5/40 + 13*i**4/24 + 2*i**3 + 9*i**2 + i. Factor g(z).
(z + 2)*(z + 3)*(z + 4)/2
Let f(q) be the third derivative of -q**6/300 + 99*q**2. Factor f(a).
-2*a**3/5
Factor 115*q - 71 - 5*q**2 + 54*q + 61*q - 1327 - 1247.
-5*(q - 23)**2
Let d be 4/(-15)*((-43)/136 + 181/(-3077)). What is b in 0 + 0*b**2 - 1/10*b + d*b**3 = 0?
-1, 0, 1
Let m(q) be the second derivative of q**6/50 + 3*q**5/20 - 13*q**4/20 + 7*q**3/10 + 544*q. Suppose m(d) = 0. What is d?
-7, 0, 1
Let f = -1482 - -1485. Let a(g) be the first derivative of 1/4*g**2 + 0*g + 1/3*g**f + 5. Suppose a(m) = 0. What is m?
-1/2, 0
Factor -1/2*d**3 + 3/2 + 1/2*d**2 + 5/2*d.
-(d - 3)*(d + 1)**2/2
Let n = 1697 - 1693. Factor 1/2*r**2 + 1/4*r**5 + 5/4*r**3 + 0 + r**n + 0*r.
r**2*(r + 1)**2*(r + 2)/4
Let h(i) be the first derivative of i**7/70 + i**6/20 + i**5/20 + 7*i**2/2 - 9. Let w(v) be the second derivative of h(v). Factor w(t).
3*t**2*(t + 1)**2
Let k(j) = -2*j**3 - j**2 - 3*j - 1. Let o be k(-1). Factor -20*d + 8*d**2 + 5*d - 4 + 5*d - 4*d**o + 10*d**3.
2*(d - 1)*(d + 2)*(3*d + 1)
Let l be 24 + -19 - (-41)/(-9). Factor 2/9*k**2 - 2/9*k - l.
2*(k - 2)*(k + 1)/9
Let c(q) be the first derivative of q**5/20 + q**4/4 - 11*q**3/12 + 3*q**2/4 + 35. Find h, given that c(h) = 0.
-6, 0, 1
Let r be ((-1 + 7)*-1)/((-2070)/60 - -33). Factor -r*p**2 - 11/9*p**3 - 1/9*p**4 - 16/9*p + 64/9.
-(p - 1)*(p + 4)**3/9
Find p, given that 5/4 + 7/8*p + 1/8*p**2 = 0.
-5, -2
Let j(u) be the second derivative of -u**5/16 - 5*u**4/48 + 5*u**3/3 + 15*u**2/2 - 148*u. Factor j(w).
-5*(w - 3)*(w + 2)**2/4
Let x = 108 - 102. Let k(v) be the third derivative of -5*v**2 + 0 + 0*v**4 - 1/315*v**7 + 0*v**3 + 0*v**5 + 0*v - 1/180*v**x. Factor k(u).
-2*u**3*(u + 1)/3
Let u(h) = -25*h + 1. Let n be u(1). Let f = n - -26. Factor 6*a**2 - 8*a**4 + f*a**4 - 3*a**5 + a**5 + 2*a**2.
-2*a**2*(a - 1)*(a + 2)**2
Suppose -4*w + 77 = -0*i - 3*i, -23 = -w + 2*i. Let a(u) = -3*u**2 + 53*u - 30. Let b be a(w). Solve -2/3*r**2 + 2/3*r**3 - r + r**b + 1/3*r**5 - 1/3 = 0 for r.
-1, 1
Let d(v) be the second derivative of -v**5/40 - 31*v**4/24 + 175*v - 1. What is o in d(o) = 0?
-31, 0
Let c(p) be the third derivative of -1/80*p**6 + 0*p**5 + 1/16*p**4 + 1/280*p**7 + 0 + 0*p + 6*p**2 - 1/8*p**3. Factor c(j).
3*(j - 1)**3*(j + 1)/4
Let f be (-19)/(-30) + 708/90 + -8. Let j(x) be the second derivative of 0 + 7*x - f*x**2 - 1/3*x**3 - 1/12*x**4. Factor j(d).
-(d + 1)**2
Let m(q) be the third derivative of q**7/2415 + 3*q**6/115 - 15*q**2 + 8. Determine n so that m(n) = 0.
-36, 0
Let w(c) = 6*c**4 + 3*c**3 + 6*c**2 + 3*c + 3. Let g(x) = x**4 - x**3 + x**2 + x + 1. Suppose 0 = s + 4 - 3. Let l(o) = s*w(o) + 3*g(o). Factor l(m).
-3*m**2*(m + 1)**2
Let 8/3*z - 2/3*z**2 + 0 = 0. Calculate z.
0, 4
Factor -32/9*g**5 - 32/3 - 272/3*g**3 - 262/9*g**4 - 1168/9*g**2 - 704/9*g.
-2*(g + 2)**4*(16*g + 3)/9
Suppose 80 = -2*d + 14. Let q be d/9 - -3 - 4/(-6). Find u, given that -2/9*u**4 + 2/9*u**2 + q + 2/9*u - 2/9*u**3 = 0.
-1, 0, 1
Let p(k) be the first derivative of 2*k**5/55 - 7*k**4/11 + 50*k**3/33 - 12*k**2/11 - 145. Determine f, given that p(f) = 0.
0, 1, 12
Let h(p) be the second derivative of -p**6/6 + 3*p**5 - 55*p**4/12 + 29*p + 4. Suppose h(o) = 0. Calculate o.
0, 1, 11
Factor -25/3*x + 0 + 25/3*x**3 + 1/3*x**4 - 1/3*x**2.
x*(x - 1)*(x + 1)*(x + 25)/3
Solve -465*a**3 + 1445*a - 935*a**2 - 71*a**4 + 58*a**4 + 3 - 3 - 32*a**4 = 0 for a.
-17/3, 0, 1
Factor 6/7*j + 4/3 + 2/21*j**2.
2*(j + 2)*(j + 7)/21
Let i(x) = 3*x**3 + 12*x**2 - 25*x - 36. Let y(b) = -7*b**3 - 26*b**2 + 51*b + 75. Let g(o) = 5*i(o) + 2*y(o). Factor g(z).
(z - 3)*(z + 1)*(z + 10)
Let x be (-49)/(-35)*(-430)/4. Let l = x + 151. Suppose -l*r**2 + r - 1/2 = 0. What is r?
1
Factor 617 + 38*n + 2*n**2 + 633 - 138*n.
2*(n - 25)**2
Suppose 5*d - 137 = -52. Let q = d + -14. Let -108*x**2 - 8 - 81/2*x**4 + 48*x + 108*x**q = 0. What is x?
2/3
Let f(y) be the first derivative of -4/9*y - 11 + 5/9*y**2 - 8/27*y**3 + 1/18*y**4. Find a, given that f(a) = 0.
1, 2
Let x(a) = 1019*a + 3057. Let u be x(-3). Solve 11/9*b**3 + 2/3*b**2 + u*b + 0 + 4/9*b**4 - 1/9*b**5 = 0.
-1, 0, 6
Let w(b) be the third derivative of b**8/4032 - b**7/336 + b**6/72 - 3*b**5/10 + 8*b**2. Let i(x) be the third derivative of w(x). Factor i(j).
5*(j - 2)*(j - 1)
Let j = -1/187 - -287/18700. Let c(y) be the third derivative of 1/840*y**8 + 0*y + 0*y**4 + 0*y**7 + 0 + 0*y**3 - 1/75*y**5 - j*y**6 - 8*y**2. Factor c(i).
2*i**2*(i - 2)*(i + 1)**2/5
Let g(w) be the second derivative of -1/3*w**3 + 6*w - 2*w**2 + 1/10*w**5 + 0 + 1/3*w**4. Determine k, given that g(k) = 0.
-2, -1, 1
Let f be -7*(-1)/(-1) - 8165/(-1065). Find k such that -f*k**5 - 10/3*k**3 + 0*k + 0 - 4/3*k**2 - 8/3*k**4 = 0.
-2, -1, 0
Let s(u) be the third derivative of -u**7/630 - u**6/180 + u**5/180 + u**4/36 + u**2 - 143. Suppose s(m) = 0. What is m?
-2, -1, 0, 1
Let d be (-182)/637*(0 + 0 - 7). Let z(a) be the first derivative of -5/2*a**2 + 1/5*a**5 - d*a - 4 + 1/4*a**4 - a**3. Factor z(o).
(o - 2)*(o + 1)**3
Let p(k) = -5*k**2 - k + 9. Let t(o) = -28*o**2 - 4*o + 53. Let b(q) = 34*p(q) - 6*t(q). Solve b(m) = 0 for m.
-3, -2
Let x = -28187 - -2311207/82. Let j = -2/41 - x. Factor 0*c + 0 + 3/2*c**3 - j*c**2.
3*c**2*(c - 1)/2
Suppose 3/5*w**4 - 24/5*w**3 - 96/5*w + 48/5 + 72/5*w**2 = 0. Calculate w.
2
Let c be (-4 - (-295)/70)/(4/56*12). Factor -c*a**2 + 0 + 1/2*a.
-a*(a - 2)/4
Let t(q) be the second derivative of -q**8/2520 - q**7/525 - q**6/300 - q**5/450 - 5*q**2/2 - 4*q. Let o(s) be the first derivative of t(s). Factor o(l).
-2*l**2*(l + 1)**3/15
Let o be ((-235)/141)/((-175)/42). Factor -2/5*f**3 + 2/5 - 2/5*f**2 + o*f.
-