12)*(l + 4)/5
Suppose y + 38 = 5*k, -4*k + y + 3*y + 40 = 0. Suppose -k*r = -6*r. Find v, given that -2/3*v - 1/3*v**2 + r = 0.
-2, 0
Let k(m) be the first derivative of m**6/2 + 18*m**5/5 + 3*m**4 - 6*m**3 - 15*m**2/2 - 85. Factor k(j).
3*j*(j - 1)*(j + 1)**2*(j + 5)
Let x(m) be the second derivative of m**4/72 - m**3/6 + 5*m**2/12 + 57*m + 1. Let x(f) = 0. What is f?
1, 5
Let i = -65 + 101. Let 21 - 9*c**3 + 12*c - 3*c**4 - i + 15 = 0. Calculate c.
-2, 0, 1
Let r(q) be the second derivative of q**5/20 - 37*q**4/12 + 60*q**3 - 162*q**2 - q - 23. Factor r(o).
(o - 18)**2*(o - 1)
Let j(d) be the first derivative of -12 + 0*d - 4/9*d**2 + 10/27*d**3 - 1/18*d**4. Factor j(t).
-2*t*(t - 4)*(t - 1)/9
Let j = -33557/18 - -3729/2. Suppose 2/9*h**4 - 4/9*h**2 + j*h**3 + 0*h + 0 = 0. What is h?
-2, 0, 1
Let i(m) be the first derivative of 1/75*m**6 + 81/5*m**2 - 3 + 6/25*m**5 + 36/5*m**3 - 6*m + 9/5*m**4. Let t(b) be the first derivative of i(b). Factor t(h).
2*(h + 3)**4/5
Suppose -3*p + 3*a + a + 70 = 0, 4*p - 86 = -2*a. Let h be (-4 - -2)/(14/(-21)). Determine b, given that p + 3*b**h - 24*b - 27*b**2 - 103 + 105*b = 0.
3
Let k = 5221/40 + -652/5. Let o(p) be the first derivative of 0*p**2 - 2*p - k*p**4 + 1/2*p**3 + 7. What is x in o(x) = 0?
-1, 2
Let a(o) be the first derivative of -5*o**4/12 - 5*o**3/6 - 15*o - 12. Let f(m) be the first derivative of a(m). Factor f(x).
-5*x*(x + 1)
Let l(f) be the third derivative of f**5/12 + 5*f**4/12 + 5*f**3/6 + 114*f**2. Factor l(j).
5*(j + 1)**2
Factor -3 + 153*p - 4*p**2 + 2*p**3 + 1 - p**3 - 148*p.
(p - 2)*(p - 1)**2
Let w = -57 - -60. Let 3*j**2 + w*j**2 - 10 + 35*j + 4*j**2 - 35*j**3 = 0. Calculate j.
-1, 2/7, 1
Let k(a) = 12*a**2 + 26*a - 17. Let m(o) = 10*o**2 + 26*o - 18. Let l(x) = 6*k(x) - 7*m(x). Let l(p) = 0. Calculate p.
1, 12
Let s(u) = -u. Suppose 0 = 4*z - 2*z - 20. Let o(k) = k**2 - 2 - 17*k + k - 3*k**2 - 2. Let r(x) = z*s(x) - o(x). Solve r(d) = 0.
-2, -1
Let r(x) be the third derivative of x**8/840 - x**6/100 + x**5/75 + 2*x**2 + 5. Solve r(p) = 0.
-2, 0, 1
Let k = 89 - 80. Factor 4*w**3 + 16*w**2 + 4*w**2 + 5*w**4 - k*w**4 + 12*w.
-4*w*(w - 3)*(w + 1)**2
Suppose -12*w**3 - w**5 + 43*w**3 + 4*w**2 + 2*w**2 - 12*w**3 - 2*w**4 - 14*w**3 = 0. Calculate w.
-3, -1, 0, 2
Let l(s) be the third derivative of s**8/40320 - s**7/3360 - s**6/360 - 23*s**5/30 - 36*s**2. Let h(d) be the third derivative of l(d). Factor h(p).
(p - 4)*(p + 1)/2
Let a(y) = -y**3 + 4*y + 4. Let s = 31 - 33. Let z be a(s). Factor 2/9*k**z + 2/9*k**3 + 0 - 2/9*k - 2/9*k**2.
2*k*(k - 1)*(k + 1)**2/9
Let y(u) = -u**3 + 5*u - 4. Let p(z) = z - 1. Let d(h) = 5*h - 5. Let l(s) = -d(s) + 6*p(s). Let t(j) = -4*l(j) + y(j). Factor t(m).
-m*(m - 1)*(m + 1)
Let w = 69687/11 - 6335. Factor -w*v**2 + 0 - 12/11*v.
-2*v*(v + 6)/11
Factor -6/5*r + 3/5 + 3/5*r**2.
3*(r - 1)**2/5
Let l = 41 - 38. Determine m, given that -l*m - 4*m**2 + 7*m + 4*m**3 + 14*m**2 = 0.
-2, -1/2, 0
Let g(o) = 5*o**3 + o**2 + 22*o - 28. Let i(q) = -13*q**3 - 2*q**2 - 68*q + 83. Let x(y) = 11*g(y) + 4*i(y). Find m, given that x(m) = 0.
-4, 1, 2
Let h(u) be the first derivative of -5*u**4/3 + 5*u**3/6 + 38*u - 14. Let m(z) be the first derivative of h(z). Factor m(r).
-5*r*(4*r - 1)
Factor -867/4 - 3/4*y**2 + 51/2*y.
-3*(y - 17)**2/4
Let n(z) = -5*z**2 - 182*z + 9427. Let u(c) = c**2 - 2*c - 3. Let v(i) = n(i) + 6*u(i). Factor v(m).
(m - 97)**2
Suppose -6*g + 288 = 42*g. Let n(z) be the second derivative of 1/18*z**3 - 1/9*z**4 + 0 + 0*z**2 - 1/60*z**5 + 7*z + 2/45*z**g. Factor n(x).
x*(x - 1)*(x + 1)*(4*x - 1)/3
Let r(l) be the third derivative of l**8/120960 - l**7/15120 - 2*l**5/15 - 12*l**2. Let j(p) be the third derivative of r(p). Find f such that j(f) = 0.
0, 2
Suppose 2*q - 7 = -3. Suppose 6*l - 20 + 2 = 0. Factor -g**3 - 6*g**l + 0*g**3 + 3*g**3 - q*g**4.
-2*g**3*(g + 2)
Let b(j) be the third derivative of j**6/1260 - j**5/210 + j**4/84 + 4*j**3/3 + 2*j**2. Let g(a) be the first derivative of b(a). Suppose g(i) = 0. What is i?
1
Let b(v) be the first derivative of 35*v**6/6 + 17*v**5 + 15*v**4/2 - 70*v**3/3 - 65*v**2/2 - 15*v + 163. Factor b(c).
5*(c - 1)*(c + 1)**3*(7*c + 3)
Let x be ((1/(-18))/((-6)/12))/(1/3). Factor x*f**2 - 1 + 2/3*f.
(f - 1)*(f + 3)/3
Let q(j) be the first derivative of -2*j**6/3 + 48*j**5/5 - 20*j**4 - 8*j**3/3 + 42*j**2 - 40*j + 14. Suppose q(d) = 0. What is d?
-1, 1, 10
Suppose -106 = 4*j - 126. Let o = -328 + 328. Factor 0 + o*i**4 - 2/5*i**j + 4/5*i**3 + 0*i**2 - 2/5*i.
-2*i*(i - 1)**2*(i + 1)**2/5
Suppose -2*i - 5*s = 31, 2*i - 2*s - 13 = 3*i. Let l be (i - -5) + (-2)/(-2). Suppose n + n**2 - l*n**2 + n + 0*n = 0. Calculate n.
0, 1
Let h(s) be the first derivative of 7*s**5/5 + 8*s**4 + 44*s**3/3 + 8*s**2 - 27. Solve h(m) = 0.
-2, -4/7, 0
Let r(z) be the first derivative of -9/8*z**2 - z**4 + 2*z**3 - 8 + 1/4*z. Factor r(i).
-(i - 1)*(4*i - 1)**2/4
Suppose -58 = 17*d + 10. Let m be 9/((-27)/d) - (-42)/(-45). Solve 2/5*p**5 + 0*p + 2/5*p**4 + 0 - 2/5*p**3 - m*p**2 = 0 for p.
-1, 0, 1
Let g be (-1)/(-4) + ((-28)/(-672))/(1/106). Factor 16/3 + 2/3*q**4 + 12*q**2 + g*q**3 + 40/3*q.
2*(q + 1)*(q + 2)**3/3
Let f(n) be the first derivative of -5*n**3/12 - 25*n**2/8 - 159. Factor f(l).
-5*l*(l + 5)/4
Let k be 0 - ((-2)/3)/(9/27). Let o(i) be the second derivative of 4*i + 1/8*i**4 + 0 + 11/36*i**3 + 1/6*i**k. Factor o(c).
(c + 1)*(9*c + 2)/6
Let z(w) be the second derivative of -w**7/5880 - w**6/420 - w**5/70 + 13*w**4/6 - 24*w. Let j(h) be the third derivative of z(h). Factor j(p).
-3*(p + 2)**2/7
Let k(r) be the first derivative of r**7/6720 - r**6/720 + r**5/192 - r**4/96 - 10*r**3/3 - 1. Let i(l) be the third derivative of k(l). Factor i(j).
(j - 2)*(j - 1)**2/8
Let -42*n**3 - 4526*n + 46*n**2 + 4510*n - 4*n**5 + 6*n**5 + 10*n**4 = 0. What is n?
-8, 0, 1
Suppose -236*f + 25*f = 36*f. Solve 1/10*b + f + 1/10*b**2 = 0 for b.
-1, 0
Let o(x) = 2*x**2 - 6*x + 4. Let b(u) = 4*u**2 - 12*u + 8. Let j(s) = s + 5. Let a be j(0). Let t(y) = a*o(y) - 2*b(y). Factor t(c).
2*(c - 2)*(c - 1)
Let t(g) = -g**3 + g**2 - 1. Let j(a) = -3*a**4 - 33*a**2 + 15. Let s(x) = -j(x) - 15*t(x). Factor s(n).
3*n**2*(n + 2)*(n + 3)
Let l be (13 - -1)*2/4. Suppose 0 = -l*x + 2*x - 5*y + 110, 10 = x - 5*y. Solve x*h**2 - 3*h + 0*h - 5*h = 0 for h.
0, 2/5
Let l(s) = 474*s - 1893. Let w be l(4). Solve w*j - 3/2*j**2 - 3/2 = 0 for j.
1
Let b = -11 - -13. Factor 2*n**b + 0*n + 0*n - n**2.
n**2
Let c = 15841667 + -49045791427/3096. Let h = c - -3/344. Find d, given that 4/9 + 8/3*d**4 - 2/3*d - h*d**2 + 14/9*d**5 - 8/9*d**3 = 0.
-1, 2/7, 1
Let z(d) be the third derivative of 5*d**8/336 + 3*d**7/14 + 29*d**6/24 + 13*d**5/4 + 15*d**4/4 - 87*d**2. Solve z(o) = 0 for o.
-3, -2, -1, 0
Let 60 - 5*i**4 + 40*i**3 - 147 + 47 + 110*i - 105*i**2 = 0. Calculate i.
1, 2, 4
Let a(m) = -m - 3. Let r be a(3). Let o(k) = k**2 + 3*k - 13. Let v be o(r). Factor 0*t**3 + 2/9*t**v + 0 + 4/9*t**2 - 4/9*t**4 - 2/9*t.
2*t*(t - 1)**3*(t + 1)/9
Let p(w) = -18*w**4 + 25*w**3 - 4*w**2 - 3*w - 3. Let a(m) = -15*m + 124*m**3 - 22*m**2 - 14 - 90*m**4 + m + 2*m**2. Let x(f) = 6*a(f) - 28*p(f). Factor x(u).
-4*u**2*(u - 1)*(9*u - 2)
Let f be 18/(-9)*(39/2)/(-3). Factor 5*d**2 + 7*d + f*d - 15*d.
5*d*(d + 1)
Let d = 6105/4 + -1526. Suppose 1/4*q + d*q**2 - 1/4*q**3 - 1/4 = 0. Calculate q.
-1, 1
Suppose 7*l - 16 = 5*l. Solve 770 - 766 - 3*y**2 - l*y + 7*y**2 = 0 for y.
1
Suppose -4*h - 3 = -31. Let t be (-4)/30*(1 - h). Factor -4/5 - 1/5*f**2 - t*f.
-(f + 2)**2/5
Let j(f) be the first derivative of f**6/24 - 9*f**5/160 - f**4/32 + f**3/24 + 19*f + 3. Let y(k) be the first derivative of j(k). Solve y(b) = 0.
-1/2, 0, 2/5, 1
Suppose 63*x = 58*x + 10. Let s(m) be the first derivative of 5/2*m**2 + 10/3*m**3 - 4 - 5/4*m**4 - x*m**5 + 0*m. Factor s(u).
-5*u*(u - 1)*(u + 1)*(2*u + 1)
Let m(h) be the second derivative of h**7/21 + h**6/5 - h**5/5 - 2*h**4 - 8*h**3/3 + 69*h. Factor m(v).
2*v*(v - 2)*(v + 1)*(v + 2)**2
Let w(z) be the second derivative of 2/85*z**5 + 13*z + 0*z**3 + 1/34*z**4 + 0*z**2 + 0 - 1/51*z**6 - 2/357*z**7. Suppose w(g) = 0. Calculate g.
-3, -1/2, 0, 1
Let f(u) be the second derivative of u**7/2520 + u**6/1080 - u**5/90 - u**4/18 - 5*u**3/3 - 12*u. Let w(y) be the second derivative of 