 + 20, -3*a + 19 = -0*a - 4*w. Let t(f) = a*x(f) - 2*z(f). Factor t(o).
-4*(o - 2)*(o - 1)
Factor -2*m**2 - 4*m + 3*m**2 + 3*m**2.
4*m*(m - 1)
Let x(u) = -15 + 6*u + 0*u - u**2 + 0*u + 3*u. Let o be x(6). Factor 1/4*v**2 - 1/4*v**o + 0*v + 0.
-v**2*(v - 1)/4
Let a be 2 + (-6)/(-3) + -1. Let b be (6 - a)*2/3. Factor -2 + d**2 + b*d**2 - d**2.
2*(d - 1)*(d + 1)
Let z(k) = -2*k + 12. Let j be z(6). Factor 0*m + j*m**3 - 2/3*m**4 + 0 + 2/3*m**2.
-2*m**2*(m - 1)*(m + 1)/3
Suppose -4*p = -2*p + y - 5, 2*y + 8 = 5*p. Suppose -25 = -j - 5*i, -4*j - i + 5 = -0*j. Find x such that j + 1/2*x**3 - x**p + 0*x = 0.
0, 2
Let d(f) be the third derivative of 0 - 1/8*f**4 + 3*f**2 - 5/6*f**3 + 0*f + 1/30*f**5. Let v(k) = k**2 - k - 2. Let b(y) = 4*d(y) - 10*v(y). Factor b(q).
-2*q*(q + 1)
Let n(g) = -3*g**2 - 32*g + 37. Let x(l) = -35*l**2 - 385*l + 445. Let i(c) = -25*n(c) + 2*x(c). Let i(w) = 0. What is w?
-7, 1
Let k = -2 - -5. Let m(h) = -h**2 + 5*h + 6. Let q(u) = -6*u - 6. Let a(x) = k*m(x) + 2*q(x). What is g in a(g) = 0?
-1, 2
Let u(x) be the third derivative of x**8/6720 - x**7/840 + x**6/240 + x**5/15 - 3*x**2. Let l(h) be the third derivative of u(h). Factor l(a).
3*(a - 1)**2
Let q(c) be the second derivative of -c**7/252 - c**6/90 + c**4/36 + c**3/36 - 10*c. Factor q(d).
-d*(d - 1)*(d + 1)**3/6
Let m(z) = 2*z - 26. Let b be m(14). What is d in -1/2*d**4 + 1/2*d**b + 0 - 1/2*d**3 + 1/2*d = 0?
-1, 0, 1
Let p(l) be the second derivative of -1/6*l**3 + 1/15*l**4 - 4*l + 0 + 1/5*l**2 - 1/100*l**5. Factor p(g).
-(g - 2)*(g - 1)**2/5
Let l(v) = v**2 + 8*v + 9. Let r be l(-7). Let i be 0/(-2) + 1/r. Factor 3/2*h**2 + i - 1/2*h**3 - 3/2*h.
-(h - 1)**3/2
Let o(c) = c**3 - c**2 + c. Let s(u) = -u**4 + 8*u**3 - 6*u**2 + 4*u + 1. Let h(t) = 6*o(t) - s(t). Suppose h(b) = 0. Calculate b.
-1, 1
Let y be (-195)/(-25) + (-1)/(-5). Factor -4*w**4 + y*w**3 - 6 + 6.
-4*w**3*(w - 2)
Let w = -3 + 4. Let i be w*(5 - 1)*1. Determine d, given that 5*d**3 + 0*d**2 - d**2 - i*d**3 = 0.
0, 1
Let a = 121935/8 - 12075277/792. Let p = 54/11 + a. Factor -2/9*r**3 + 2/9*r - p*r**2 + 2/9.
-2*(r - 1)*(r + 1)**2/9
Let c(b) = 3*b - 1. Suppose 4*s - 4*y - 24 = 0, s - 4*y = -s + 22. Let h be c(s). Factor -2*z**3 - 2*z + 4*z**3 - 2*z**4 - h*z**2 + 4*z**2.
-2*z*(z - 1)**2*(z + 1)
Let b(h) be the second derivative of h**10/15120 - h**9/2520 + h**7/315 - h**4/4 + h. Let f(d) be the third derivative of b(d). Factor f(m).
2*m**2*(m - 2)**2*(m + 1)
Let m = 541/45 + -59/5. Factor m*v**2 + 8/9*v + 8/9.
2*(v + 2)**2/9
Let h(a) be the first derivative of 2*a**5/5 - 5*a**4/4 + 2*a**3/3 - 6. What is q in h(q) = 0?
0, 1/2, 2
Let l(f) = 4*f**3 - 34*f**2 + 45*f - 4. Let k(o) = o**3 - 7*o**2 + 9*o - 1. Let x(v) = 11*k(v) - 2*l(v). Let x(p) = 0. Calculate p.
1
Let d be (-75)/(-25) - -1*3*1. Factor -3 + 15/4*h**2 - d*h.
3*(h - 2)*(5*h + 2)/4
Let j = 0 - 1. Let h be 5 - j/1*-1. Factor -1/3*r**5 + r - r**h + 2/3*r**2 - 2/3*r**3 + 1/3.
-(r - 1)*(r + 1)**4/3
Let q(y) = y**3 + 4*y**2 + 3*y + 3. Let k be q(-4). Let x be 10/18 + 2/k. Factor -x + 0*m + 1/3*m**2.
(m - 1)*(m + 1)/3
Let y be (-4)/(0 + -4 + -14). Let t(x) be the first derivative of 1/12*x**4 - 2/3*x - 1/6*x**2 + 2 + y*x**3. Factor t(c).
(c - 1)*(c + 1)*(c + 2)/3
Let u(c) be the second derivative of c**5/190 + c**4/57 + c**3/57 - 28*c. Find b such that u(b) = 0.
-1, 0
Let q(w) = -w**2 - 2*w. Let j(n) = 4*n**3 - 4*n**2 - 10*n. Let i(f) = j(f) - 5*q(f). Determine l, given that i(l) = 0.
-1/4, 0
Factor 680 + 476 - 94*j**2 + 98*j**2 - 136*j.
4*(j - 17)**2
Let l(p) be the second derivative of -p**4/12 - p**3/3 + 7*p. Solve l(i) = 0 for i.
-2, 0
Let n(k) be the second derivative of -1/75*k**6 + 3*k + 1/30*k**4 + 1/30*k**3 + 0 + 0*k**2 - 1/100*k**5. Factor n(r).
-r*(r - 1)*(r + 1)*(2*r + 1)/5
Let c(u) be the first derivative of 4/3*u**3 - u**4 - 2*u + u**2 - 2/5*u**5 + 1/3*u**6 + 5. Factor c(v).
2*(v - 1)**3*(v + 1)**2
Let a(o) be the third derivative of o**8/30240 + o**7/3780 + o**6/1080 + o**5/60 - 2*o**2. Let n(y) be the third derivative of a(y). Factor n(v).
2*(v + 1)**2/3
Let q be (2 - 3/1) + 1. Let t be q + (-28)/(-6) - 2. Find s such that t*s**3 + 4*s**2 + 8/3*s + 2/3 + 2/3*s**4 = 0.
-1
Factor 2*f - 2*f - 3 + 3*f**2.
3*(f - 1)*(f + 1)
Let s(k) be the first derivative of k**7/420 - k**6/90 + k**5/60 - k**3 + 3. Let h(b) be the third derivative of s(b). Determine c, given that h(c) = 0.
0, 1
Suppose 3*q - 6 + 0 = 0. Let l be (5/(-25))/(q/(-4)). Solve 2/5*j**2 + 0 - l*j = 0 for j.
0, 1
Let m(v) = -2*v. Let i(l) = l. Let u(h) = -13*i(h) - 6*m(h). Let w be u(0). Determine f, given that w - 1/4*f**2 + 1/4*f = 0.
0, 1
Find h such that 1649 - 4*h**2 - 1649 - 4*h**3 = 0.
-1, 0
Let g(j) be the third derivative of 3*j**5/20 - j**4/4 + 32*j**2 + 1. Determine v so that g(v) = 0.
0, 2/3
Let r(j) be the second derivative of -j**4/6 + j**3/3 + 5*j. Factor r(c).
-2*c*(c - 1)
Let g = -32 - -29. Let t be ((-10)/15)/(10/g). Factor 1/5*h**2 + 0 - t*h.
h*(h - 1)/5
Let y(v) be the second derivative of v**4/36 + 5*v**3/18 + v**2 - v - 16. Factor y(a).
(a + 2)*(a + 3)/3
Factor 2/5 + 250*v**4 + 60*v**2 + 8*v + 200*v**3.
2*(5*v + 1)**4/5
Let w(q) = 2*q. Let t be w(0). Let h(v) be the third derivative of -v**2 + t*v**3 - 1/60*v**6 + 0 + 0*v**4 - 1/120*v**5 + 0*v. Determine l, given that h(l) = 0.
-1/4, 0
Let u be ((-1)/2)/(1/10). Let a = u - -8. Factor -o + o**a + o.
o**3
Let u(g) be the third derivative of 3*g**8/896 + g**7/840 - 3*g**6/320 - g**5/240 + 14*g**2. Solve u(s) = 0.
-1, -2/9, 0, 1
Let q(u) = u. Let n be q(4). Let x(h) = 3*h**5 + 11*h**4 - 2*h**3. Let i(l) = 4*l**5 + 10*l**4 - 2*l**3. Let p(m) = n*x(m) - 5*i(m). Let p(d) = 0. What is d?
-1, 0, 1/4
Let o be -3 - (-1 + -5 + -2). Find k such that 6*k**3 + 7 - 2*k**2 - 5 - 6*k**4 - 2 + 2*k**o = 0.
0, 1
Factor 27 - u**2 + 13*u**2 - 79*u + 9*u**2 + 3*u**3 + 28*u.
3*(u - 1)**2*(u + 9)
Let f(r) = -3*r + 48. Let u be f(16). Let z be (-2)/(-11) + 12/55. Determine y so that u + z*y**2 - 2/5*y = 0.
0, 1
Let f(g) = -2*g - 8. Let x be f(-6). Suppose i + i - x = 0. Solve 0 - 2*p**i - 1/2*p**3 - 2*p = 0 for p.
-2, 0
Let c(q) be the second derivative of -2*q - q**2 + 2/5*q**5 - 1/15*q**6 - q**4 + 0 + 4/3*q**3. Factor c(v).
-2*(v - 1)**4
Let n(s) be the first derivative of s**7/420 - s**6/120 + s**5/120 + s**2/2 + 3. Let l(d) be the second derivative of n(d). Factor l(y).
y**2*(y - 1)**2/2
Let w be -3*((-46)/(-36) + 3/(-2)). Suppose -w*c + 0 + 2/3*c**2 = 0. What is c?
0, 1
Let n = 281/4 + -70. Let x be (-1 - -1)/(3 + -5). Let n*b**5 + 0*b + 0 + x*b**3 + 1/4*b**4 + 0*b**2 = 0. Calculate b.
-1, 0
Let n be (-15)/5*(-1)/45. Let z(m) be the second derivative of 1/2*m**4 + 0*m**2 - 3/10*m**5 - m - 1/3*m**3 + n*m**6 + 0. Suppose z(c) = 0. What is c?
0, 1
Let b be (-9)/(-4) - (-1 - -3). Let f = -18 + 20. Find l such that 0*l + 0 - 1/4*l**f + 0*l**3 + b*l**4 = 0.
-1, 0, 1
Let b(d) = 2*d**3 + 35 + d - 22 - 14. Let l be b(1). Factor -2/3*k - 1/3*k**l - 1/3.
-(k + 1)**2/3
Let r(q) be the third derivative of 0*q**3 + 1/300*q**5 + 3*q**2 - 1/120*q**4 + 0*q + 0. Solve r(i) = 0.
0, 1
Factor -5*d**3 + 16*d**3 + 3*d - 10*d**3 - 3*d**2 - 1.
(d - 1)**3
Let g(n) be the first derivative of n**7/1050 - n**6/600 + n**2 + 1. Let y(c) be the second derivative of g(c). Factor y(h).
h**3*(h - 1)/5
Let u(w) = w**3 + 11*w**2 - 13*w - 9. Let c be u(-12). Factor 61*r - c*r**4 + 21*r**3 - r - 24 - 54*r**2 + 0*r.
-3*(r - 2)**3*(r - 1)
Let j(w) = 2*w - 26. Let h be j(13). Let t(i) be the first derivative of -1/9*i**3 + h*i**2 - 3 + 0*i. Solve t(l) = 0.
0
Let i(j) = j**2 + 4*j + 5. Let z be i(-4). Factor -2*r**2 - 5*r**4 + 2*r**3 + 6*r**4 - 2*r**z + r**4.
-2*r**2*(r - 1)**2*(r + 1)
Factor -30/7*t + 24/7*t**3 - 12/7*t**2 + 6/7*t**5 - 12/7 + 24/7*t**4.
6*(t - 1)*(t + 1)**3*(t + 2)/7
Let y be (-32)/(-12) - 1*-2. Let r = 663/11 + -53/33. Find w such that 73/3*w**2 + 1/3 - y*w - 64/3*w**5 + r*w**4 - 172/3*w**3 = 0.
1/4, 1
Factor 21*c**5 + 6*c**4 - 8*c**5 - 3*c**3 - 6*c**2 - 6*c**5 - 4*c**5.
3*c**2*(c - 1)*(c + 1)*(c + 2)
Let d = 5/42 + 1/6. Factor 12/7*x + d*x**2 + 18/7.
2*(x + 3)**2/7
Let w(v) = -2*v**2 + 4*v - 3. Let p be w(2). Let d(s) = -s**3 - 3*s**2 - 2*s - 4. Let u be d(p). Let 8/7 + 2/7*n**u - 8/7*n = 0. What is n?
2
Suppose -5*w + 582 = 4*b, -3*b + 55 = -w - 391