2 - 10/3*g - 1/9*g**3 - 23. Factor r(z).
-(z + 2)*(z + 5)/3
Factor 3/4*d**3 + 0 + 0*d - 9/4*d**2.
3*d**2*(d - 3)/4
Let o(v) be the first derivative of v**3/9 - 2*v**2 + 11*v/3 - 60. Factor o(w).
(w - 11)*(w - 1)/3
Let q(y) be the second derivative of y**8/672 + y**7/420 - 7*y**2/2 - 4*y. Let l(m) be the first derivative of q(m). Solve l(h) = 0.
-1, 0
Let -1/4*v**2 + 0 - 25/4*v = 0. What is v?
-25, 0
Suppose -2/9*p**2 + 80/9*p + 0 = 0. Calculate p.
0, 40
Let v(l) be the first derivative of -36*l + l**4 + 20/3*l**3 + 31 + 6*l**2. Factor v(t).
4*(t - 1)*(t + 3)**2
Let g be (21*((-8)/3)/4)/(-2). Let h be (5/g)/5*2. Suppose 0*t - 2/7*t**3 - h*t**2 + 0 = 0. What is t?
-1, 0
Let v(g) = -g**3 - 2*g**2 - 5. Let i be v(-3). Suppose 3*q - 2 - 10 = 0. Let -108*x + i*x**3 + 0*x**3 - q*x**2 + 100*x = 0. What is x?
-1, 0, 2
Factor 5*a + 9*a - 80*a**2 - 36*a + 2*a**3 + 6*a + 80 + 14*a.
2*(a - 40)*(a - 1)*(a + 1)
Let u(g) be the third derivative of g**6/24 + 11*g**5/6 + 95*g**4/6 + 60*g**3 + g**2. Factor u(a).
5*(a + 2)**2*(a + 18)
Suppose -17 = -3*m - 4*y, m - 11 = -6*y + 2*y. Suppose 3*p - m = 3*u, 4 = 3*p + u - 7. Factor 12*n**4 + 30*n**3 + 18*n + 2*n**5 + 1 - 2*n**p + 32*n**2 + 3.
2*(n + 1)**4*(n + 2)
Let b be ((-64)/(-154))/(-2) - 36/(-63). Factor 4/11 + 2/11*w - b*w**2 - 2/11*w**3.
-2*(w - 1)*(w + 1)*(w + 2)/11
Let w = -131 - -135. Let q(k) be the second derivative of 1/10*k**5 + 0 + 0*k**3 - 5*k - 1/3*k**w + 0*k**2. Factor q(o).
2*o**2*(o - 2)
Let -9/2*q**3 + 18*q - 3/2*q**4 + 12*q**2 - 24 = 0. Calculate q.
-4, -2, 1, 2
Let d(g) be the first derivative of 119*g**6/2 - 1284*g**5/5 + 216*g**4 + 176*g**3 + 24*g**2 - 154. Find m, given that d(m) = 0.
-2/7, -2/17, 0, 2
Let q = -343 - -348. Let o(r) be the third derivative of 0 + 1/72*r**4 + 0*r + 1/36*r**3 + 0*r**q + 6*r**2 - 1/1260*r**7 - 1/360*r**6. Factor o(l).
-(l - 1)*(l + 1)**3/6
Let a(i) be the second derivative of -5*i**4/12 - 5*i**3/2 - 132*i. Determine j so that a(j) = 0.
-3, 0
Factor -55225*y + 12977875/3 - 1/3*y**3 + 235*y**2.
-(y - 235)**3/3
Factor 40/3*o**2 + 100/3*o + 80/3 + 5/3*o**3.
5*(o + 2)**2*(o + 4)/3
Let x(r) = -6*r**5 - 4*r**4 - 7*r**2 + 5*r - 5. Let j(k) = k**5 + k**4 + k**3 + 2*k**2 - k + 1. Let f(l) = -5*j(l) - x(l). Factor f(g).
g**2*(g - 3)*(g + 1)**2
Let r(l) be the second derivative of 0 + 3/20*l**5 - 1/12*l**4 + l**2 - 1/30*l**6 - 24*l - 1/2*l**3. Factor r(w).
-(w - 2)*(w - 1)**2*(w + 1)
Let b be -1 + 1 + 21/3. Let y(g) = 3*g**2 + 9*g**3 + 7*g - 5 + 0 + 2 - 4. Let n(p) = -5*p**3 - 2*p**2 - 4*p + 4. Let i(u) = b*n(u) + 4*y(u). Factor i(s).
s**2*(s - 2)
Let y(o) be the second derivative of o**6/180 - o**5/60 - o**4/72 + o**3/18 + 132*o. Find z, given that y(z) = 0.
-1, 0, 1, 2
Factor 0 - 7/5*r**2 - 8/5*r.
-r*(7*r + 8)/5
Factor -2/5*l**3 + 1/2*l**2 + 0 - 1/5*l + 1/10*l**4.
l*(l - 2)*(l - 1)**2/10
Let b(k) be the first derivative of 25*k**4/4 + 860*k**3/3 + 970*k**2 + 640*k + 381. Suppose b(s) = 0. What is s?
-32, -2, -2/5
Let q(k) be the third derivative of k**5/20 - k**3/2 - 9*k**2 + 2. Find d, given that q(d) = 0.
-1, 1
Let p(a) = 17*a**2 + 87*a + 264. Let u(f) = 19*f**2 + 84*f + 263. Let o(d) = -7*p(d) + 6*u(d). Suppose o(w) = 0. Calculate w.
-18, -3
Suppose 2*t - 2 = -h, -2*t - 3*h - 1 = 1. Let i be t + (-52)/(-84) - 6/18. Factor 16/7 - i*l + 4/7*l**3 - 4/7*l**2.
4*(l - 2)*(l - 1)*(l + 2)/7
Let t = -7521 + 97777/13. What is y in 2/13*y + 2/13*y**2 - t = 0?
-2, 1
Let h(b) be the second derivative of 15*b + 1/6*b**3 + 1/2*b**2 - 1/6*b**4 + 0. Factor h(g).
-(g - 1)*(2*g + 1)
Let 12*q**4 + 32 + 15709*q**5 - 24*q - 9*q**2 - 35*q**2 - 15713*q**5 + 28*q**3 = 0. Calculate q.
-2, -1, 1, 4
Let u be 15/6*32/20 + -2. Let k(f) be the first derivative of 0*f + 3/10*f**u - 3/20*f**4 + 3 + 1/5*f**3 - 3/25*f**5. Suppose k(l) = 0. Calculate l.
-1, 0, 1
Let k(y) be the second derivative of -y**5/100 - 3*y**4/40 - y**3/5 + 11*y**2/2 - 8*y. Let t(s) be the first derivative of k(s). Factor t(a).
-3*(a + 1)*(a + 2)/5
Let i(l) be the third derivative of -l**6/80 - 11*l**5/24 + 49*l**4/24 - 10*l**3/3 - 402*l**2. Find u, given that i(u) = 0.
-20, 2/3, 1
Let a(b) be the first derivative of 3*b**5/10 + 15*b**4/16 - 7*b**3/4 - 27*b**2/8 + 27*b/4 + 242. Solve a(m) = 0 for m.
-3, -3/2, 1
Let t = 23 - 19. Let 18*m**2 + 10*m**4 + 8*m + 4*m**5 + 10*m**t + 36*m**3 - 12*m**2 + 22*m**2 = 0. Calculate m.
-2, -1, 0
Solve -20*f**2 + 36 + 0 + 24*f + 17*f**2 - 3*f**3 = 0 for f.
-2, 3
Let i(x) be the first derivative of 6*x**4 + 0*x - 20/3*x**3 + 0*x**2 - 4/5*x**5 - 14. Factor i(p).
-4*p**2*(p - 5)*(p - 1)
Let c(x) be the first derivative of -x**6/8 + 129*x**5/40 + 87*x**4/8 + 95*x**3/8 + 9*x**2/2 + 123. What is j in c(j) = 0?
-1, -1/2, 0, 24
Let u be (-2278)/(-201)*(3 + 0)/(20/2). Let u*s + 6/5 + 2/5*s**3 + 11/5*s**2 = 0. Calculate s.
-3, -2, -1/2
Factor 9*p**2 + 6/5 + 37/5*p.
(5*p + 3)*(9*p + 2)/5
Let i be (10330/(-30))/((-22)/(-24)). Let m = i + 376. Let 2/11*u**5 + 28/11*u**3 + 12/11*u**4 + m + 18/11*u + 32/11*u**2 = 0. Calculate u.
-2, -1
Let k(c) be the second derivative of 13*c**6/6 - c**5/2 - 65*c**4/12 + 5*c**3/3 + 118*c. Factor k(j).
5*j*(j - 1)*(j + 1)*(13*j - 2)
Let s be 3/(-2)*(-2072)/1554. Factor 1/2*k**4 + 7/6 + 1/6*k**5 - 9/2*k - 11/3*k**3 + 19/3*k**s.
(k - 1)**4*(k + 7)/6
Suppose z**2 - 17*z + 153*z - 1156 - 2*z**2 - 3*z**2 = 0. Calculate z.
17
Let c be 2/(-4) + 5/10. Suppose -3*a + 16 = 2*s, -6*a + 8 = 2*s - a. Find v such that 2*v**3 + 0 + c + s*v - 16*v = 0.
-1, 0, 1
Let t(m) be the third derivative of -m**5/135 + m**4/27 + 2*m**2 - 57*m. Find n such that t(n) = 0.
0, 2
Let r(f) be the third derivative of f**6/1080 - f**5/108 + f**4/54 - f**2 + 34*f. Determine k, given that r(k) = 0.
0, 1, 4
Let u(j) be the third derivative of -j**6/150 - j**5/15 + 17*j**4/30 + 14*j**3/5 + 2*j**2 + 7*j. Let u(s) = 0. What is s?
-7, -1, 3
Let u(h) = h**2 - 22*h + 24. Let s be u(21). Let y be ((-2)/s)/(2/(-39)). Factor -3 - 3 + 12*c**2 + y*c**3 + 6*c**4 + 4*c + c**5 + 6.
c*(c + 1)**2*(c + 2)**2
Let o(k) = -2*k**3 - 38*k**2 + 97*k - 51. Let l(t) = -t**3 + t**2 - 4*t + 2. Let u(x) = -3*l(x) - o(x). Factor u(v).
5*(v - 1)**2*(v + 9)
Let x be -2 + 0 + 2 + 2. Let t(z) be the first derivative of 12 - 4 + 12*z + 25*z**3 - 1 + 30*z**x. Solve t(n) = 0.
-2/5
Factor 1/3*v**5 + 0*v**4 + 0 + 8/3*v**2 - 2*v**3 - v.
v*(v - 1)**3*(v + 3)/3
Let j be ((-784)/(-264) + -3)*(-1 + -5). Factor -j*n**2 - 2/11 - 4/11*n.
-2*(n + 1)**2/11
Suppose k**3 - 1/2*k**2 + 0 + 0*k - 1/2*k**4 = 0. What is k?
0, 1
Let b be 56 + -57 + (2/(-4))/(5/(-40)). Find z such that 4/13 - 6/13*z**b - 18/13*z**4 - 2*z + 46/13*z**2 = 0.
-2, 1/3, 1
Let p(l) be the first derivative of 3/2*l**4 - 2/3*l**3 + 0*l**2 - l**6 - 20 + 2/5*l**5 + 0*l. Solve p(k) = 0.
-1, 0, 1/3, 1
Factor q - 3 + 13*q - 10 - q**2.
-(q - 13)*(q - 1)
Let x = -529/15 + 541/15. Factor 0 - x*l + 2/5*l**3 + 2/5*l**2.
2*l*(l - 1)*(l + 2)/5
Let y(o) be the first derivative of 1/10*o**5 + 0*o + 0*o**2 + 1/12*o**6 - 18 + 0*o**3 + 0*o**4. Factor y(a).
a**4*(a + 1)/2
Let u(o) be the third derivative of -6*o**2 - 7/40*o**6 + 0 + 3/20*o**5 - 1/14*o**7 + 7/8*o**4 + o**3 + 0*o. Determine a, given that u(a) = 0.
-1, -2/5, 1
Let m(t) be the third derivative of t**6/180 - t**5/10 + 2*t**4/9 - 13*t**2 + 5. Find j, given that m(j) = 0.
0, 1, 8
Let n(y) be the second derivative of -y**4/12 + 2*y**3/3 + 6*y**2 - 51*y. Determine w so that n(w) = 0.
-2, 6
Let x(j) be the first derivative of j**6/480 - j**5/80 - 3*j**4/32 - 20*j**3/3 - 30. Let i(a) be the third derivative of x(a). Factor i(z).
3*(z - 3)*(z + 1)/4
Let v = 3961/5 + -792. Find r, given that r + 2*r**2 + v*r**5 + r**4 + 2*r**3 + 1/5 = 0.
-1
Let u be (1 + -2)*24/(-8). Suppose -4*g + 12 = -3*g - 2*f, u*g - 11 = f. Determine d, given that -4*d - 7*d - 2*d**g + 17*d = 0.
0, 3
Let d = -12878 - -25757/2. Determine m, given that -1/4*m + d*m**2 - 1/4 = 0.
-1/2, 1
Let k(x) = -x - 2. Let z be k(-2). Let m(j) = 19*j**2 - 173*j + 22. Let u be m(9). Factor 3/4*l**3 - 3/8*l**2 + z*l - 3/8*l**u + 0.
-3*l**2*(l - 1)**2/8
Let n(y) be the second derivative of -y**6/120 - 23*y**5/80 + y**4/48 + 23*y**3/24 + 36*y - 2. Suppose n(v) = 0. What is v?
-23, -1, 0, 1
Let p(q) = -6*q**2 - 6*q - 6. Let x be p(-1). Let u be ((-8)/x)/1*18/12. Suppose 2 - 2*z + 1/2*z**u = 0. Calculate 