 - 1/5*g**5 - 4*g**2 + 2*g**3 + 0. Factor b(q).
-4*(q - 1)**2*(q + 2)
Let x(b) be the first derivative of 0*b**2 + 0*b - 1/3*b**3 - 4 - 1/480*b**5 - 1/720*b**6 + 1/96*b**4. Let i(o) be the third derivative of x(o). Factor i(h).
-(h + 1)*(2*h - 1)/4
Let x(p) = p**2 - p - 1. Let i(w) = -3*w**2 + 28*w + 2. Let o(j) = i(j) + 2*x(j). Find z such that o(z) = 0.
0, 26
Let g be 2/10 + (-232)/(-290) + 1. Factor 4*j - 2/3*j**g + 14/3.
-2*(j - 7)*(j + 1)/3
Let t(g) = 2*g**2 + 29*g - 28. Let v(z) = 2*z**2 + 28*z - 28. Let k(y) = 2*t(y) - 3*v(y). Factor k(o).
-2*(o - 1)*(o + 14)
Suppose 0*d = -d + 4. Let f = 7 - d. What is k in 7*k**2 - 3*k**3 + 2 - 4*k**2 - f + 3*k - 2 = 0?
-1, 1
Let p(j) = 845*j**3 - 2275*j**2 - 240*j + 2871. Let s(u) = 10140*u**3 - 27300*u**2 - 2880*u + 34455. Let w(t) = -35*p(t) + 3*s(t). Factor w(h).
5*(h + 1)*(13*h - 24)**2
Suppose 26*f**2 + 2*f**4 + 20*f**3 - 25*f**2 + 18*f + 29*f**2 - 6*f**3 = 0. What is f?
-3, -1, 0
Let i be 9*(-4)/(-14 + 2). Factor -5*w**i + 3*w + 0 + 4*w**3 - 2.
-(w - 1)**2*(w + 2)
Let s(f) be the first derivative of 17*f**8/84 + 64*f**7/105 + 13*f**6/30 - 2*f**5/15 + 10*f**2 + 34. Let v(a) be the second derivative of s(a). Factor v(u).
4*u**2*(u + 1)**2*(17*u - 2)
Let v(d) = -42 + 19 - 5*d**2 + 23*d + 0*d. Let p(a) = -60*a**2 + 275*a - 275. Let o(z) = 3*p(z) - 35*v(z). Factor o(i).
-5*(i - 2)**2
Let a(h) = -h + 1. Let z be a(-4). What is d in 0*d**z + 10*d**4 - d**2 - 9*d**4 + d**3 - d**5 = 0?
-1, 0, 1
Let n(s) be the first derivative of -s**7/140 + s**6/40 - s**5/40 + 2*s**2 + 10. Let m(i) be the second derivative of n(i). Factor m(f).
-3*f**2*(f - 1)**2/2
Let t(c) be the first derivative of c**5 - 5*c**4/4 - 20*c**3/3 + 10*c**2 + 97. Find j such that t(j) = 0.
-2, 0, 1, 2
Let p be (-396)/(-63) + -7 + (-243)/(-105). Determine i, given that -2*i + p + 2/5*i**2 = 0.
1, 4
Let z be ((-2)/6)/(5/(-45)). Let q(r) be the first derivative of 5*r**z + 3/5*r**5 - 3 + 0*r - 3*r**2 - 3*r**4. Find g such that q(g) = 0.
0, 1, 2
Factor 2/7*s**5 + 6/7*s + 0*s**4 - 4/7 - 8/7*s**3 + 4/7*s**2.
2*(s - 1)**3*(s + 1)*(s + 2)/7
Let l(o) = -4*o - 3. Suppose 24*w - 2 = 25*w. Let r be l(w). Let -8*p**2 + 3*p**3 + 3*p**3 + 4*p + 3*p**3 - r*p**3 = 0. Calculate p.
0, 1
Let b(z) be the second derivative of z**3 - 31*z - 7/2*z**2 + 1/12*z**4 + 0. Find m, given that b(m) = 0.
-7, 1
Let g(o) be the second derivative of 1/5*o**5 + 18*o + 72*o**3 + 0 + 432*o**2 + 6*o**4. Factor g(r).
4*(r + 6)**3
Let k(t) be the third derivative of t**9/22680 + t**8/2520 + t**7/945 + 5*t**4/24 - 2*t**3/3 - 8*t**2. Let i(x) be the second derivative of k(x). Factor i(y).
2*y**2*(y + 2)**2/3
Let t(l) be the second derivative of -4*l**6/15 + 9*l**5/5 - 35*l**4/8 + 25*l**3/6 + 58*l. Factor t(x).
-x*(x - 2)*(4*x - 5)**2/2
Let c(b) be the first derivative of -b**3/8 - 39*b**2/16 + 21*b/4 + 47. Solve c(x) = 0 for x.
-14, 1
Let p be 63/12 + (-5)/20. Let b be -1 + (p - -1) + -3. Find y, given that 9*y - y**b - 9*y = 0.
0
Let x be 1274/(-126) - -28 - (-1 + -8). Let -44/9*m + 2/9*m**2 + x = 0. Calculate m.
11
Let t(f) = f**3 + 10*f**2 + 15*f + 54. Let r be t(-9). Solve 0 + r*z**2 - 3/5*z**3 - 3/5*z**4 + 0*z = 0 for z.
-1, 0
Let g(p) = -3*p**2 + 22*p - 40. Let z(v) = -2*v**2 + 21*v - 40. Let o(c) = -3*g(c) + 4*z(c). What is y in o(y) = 0?
-20, 2
Let f(z) be the second derivative of -9*z**5/20 - 8*z**4 - 47*z**3/2 - 27*z**2 + 534*z. Factor f(n).
-3*(n + 1)*(n + 9)*(3*n + 2)
Let r(d) = -2*d**2 - 7*d + 32. Let t be r(-6). Let o(q) be the first derivative of -21/4*q**4 - 3*q**t - 5 + 0*q - 9*q**3. Factor o(c).
-3*c*(c + 1)*(7*c + 2)
Let l(h) = 3*h**4 + 91*h**3 + 2200*h**2 + 5982*h + 3874. Let v(o) = -4*o**4 - 91*o**3 - 2199*o**2 - 5981*o - 3875. Let m(t) = -3*l(t) - 2*v(t). Factor m(g).
-(g + 1)*(g + 2)*(g + 44)**2
Let p(g) be the second derivative of 3/7*g**2 + 0 + 1/42*g**4 + 4/21*g**3 - 10*g. Factor p(w).
2*(w + 1)*(w + 3)/7
Let g = -58 + 53. Let d(w) = w**5 + 17*w**4 + 5*w**3 - 5*w**2 - 5*w. Let a(h) = -9*h**4 - 3*h**3 + 3*h**2 + 3*h. Let o(k) = g*a(k) - 3*d(k). Factor o(i).
-3*i**4*(i + 2)
Let l be (1/(-26))/(870/120). Let a = l - -4534/1885. Factor 4*w - 16/5*w**2 + 8/5 - a*w**3.
-4*(w - 1)*(w + 2)*(3*w + 1)/5
Let s(n) be the first derivative of n**6/90 - 7*n**5/15 + 49*n**4/6 + 29*n**3/3 - 29. Let i(v) be the third derivative of s(v). Solve i(m) = 0.
7
Let v = -226 - -2036/9. Let m(h) be the first derivative of 5 + 2/3*h - 2/3*h**2 + v*h**3. Determine j so that m(j) = 0.
1
Let h = -129 - -129. Let q = -50 - -54. Suppose h*r**q + 4/3*r**3 - 2/3*r**5 + 0 - 2/3*r + 0*r**2 = 0. Calculate r.
-1, 0, 1
Let g(t) = t**2 + 15*t. Let r be g(0). Let u(n) be the first derivative of -2/5*n**2 + r*n - 8/15*n**3 + 4 - 1/5*n**4. Suppose u(f) = 0. Calculate f.
-1, 0
Let o = 14 - 16. Let w(m) = -2*m. Let c be w(o). Factor z**5 - z**4 + 0 - 1 - c*z**4 - 10*z**2 + 5*z + 10*z**3.
(z - 1)**5
Let x(m) be the second derivative of 3*m**6/10 - 3*m**5/10 - 155*m**4/12 - 94*m**3/3 - 30*m**2 - 325*m. Determine d, given that x(d) = 0.
-3, -2/3, 5
Suppose -81 = -25*g - 31. Let m(p) be the first derivative of -2*p**g + 4*p + 1/3*p**3 - 8. Factor m(k).
(k - 2)**2
Let k be 5/3 + (-1)/(-3) + 0. Factor 3*r**2 + k - 7 + 1 + 1.
3*(r - 1)*(r + 1)
Factor 2/13*z**3 + 114/13*z - 44/13*z**2 + 0.
2*z*(z - 19)*(z - 3)/13
Let d(n) = 116*n**4 - 290*n**3 + 170*n**2 + 20*n. Let o(w) = 23*w**4 - 58*w**3 + 34*w**2 + 4*w. Let v(r) = -3*d(r) + 16*o(r). Solve v(g) = 0 for g.
-1/10, 0, 1, 2
Let c(l) be the first derivative of l**4/22 + 16*l**3/11 - 51*l**2/11 + 52*l/11 + 321. Find b, given that c(b) = 0.
-26, 1
Let v(k) be the second derivative of 3*k**5/40 + k**4 + 3*k**3 + 157*k. Suppose v(o) = 0. What is o?
-6, -2, 0
Let g(l) be the third derivative of -40*l**2 + 0 + 0*l**5 + 0*l + 1/70*l**7 + 1/4*l**4 - 1/2*l**3 - 1/20*l**6. Factor g(i).
3*(i - 1)**3*(i + 1)
Let n be (-72)/48*(0 + -2). Let w = 19 + -7. Factor 8*s + 4*s**3 - 3*s**2 - 17*s**2 + w*s**n - 4*s**4.
-4*s*(s - 2)*(s - 1)**2
Let k = 25/86 + -7/172. Factor -1/2*t**2 + 1/2*t**4 + 0 + 0*t - 1/4*t**3 + k*t**5.
t**2*(t - 1)*(t + 1)*(t + 2)/4
Suppose -2*d + d - 5*w = 5, -d + 9 = -2*w. Factor -4*n - 2*n**3 - 3*n**2 + d*n**3 - 2*n**4 + 5*n**4 + n.
3*n*(n - 1)*(n + 1)**2
Let x(r) be the first derivative of 636*r**5/5 - 147*r**4/2 + 37*r**3/4 + 3*r**2/4 + 275. Suppose x(m) = 0. Calculate m.
-2/53, 0, 1/4
Let n = -246 - -246. Let k(i) be the third derivative of 0*i + 1/4*i**4 + 1/10*i**5 + n*i**3 + 1/80*i**6 - i**2 + 0. Determine t so that k(t) = 0.
-2, 0
Let o(s) = -s**3 + 8*s**2 - 6*s - 3. Let a be o(7). Factor 0*v**2 - 5*v**2 + 24*v + 13*v**2 + 36 - a*v**2.
4*(v + 3)**2
Solve i**3 - 18/7*i**2 + 5/7*i**4 - 4*i - 8/7 = 0.
-2, -1, -2/5, 2
Suppose 0 = 11*b - 13*b + 8. Factor 2*q**4 + 0*q**4 + 0*q**4 + 0*q**b - 2*q**2.
2*q**2*(q - 1)*(q + 1)
Let j(c) = -2*c - 2. Let z(g) = 5*g. Let l be z(-1). Let k(n) = -n**3 - n**2 - 5*n - 5. Let w(m) = l*j(m) + 2*k(m). Find i such that w(i) = 0.
-1, 0
Let o be (-61)/(-7) - (4 + 180/(-42)). Factor 2*p**5 - o*p**2 + 11*p**2 - 2*p**3 + p**4 - 3*p**4.
2*p**2*(p - 1)**2*(p + 1)
Suppose 0 = 4*f - 3*d + 93, 9 = -f + 3*d - 21. Let j be 1/8 + f/(-56). Find l, given that -j + 0*l + 1/2*l**2 = 0.
-1, 1
Let h(b) = 7*b**3 - 7*b**2 - 5*b + 5. Let p(z) = 120*z**2 + 39*z + 33 - 156*z**3 - 118 + 46*z + 36*z**3. Let g(r) = 35*h(r) + 2*p(r). Solve g(v) = 0 for v.
-1, 1
Suppose 67*y + 92*y - 13 = -13. Factor -1/8*d - 1/8*d**3 + y + 1/4*d**2.
-d*(d - 1)**2/8
Suppose 3*y = -4*q + 1, 3*q + q = -8. Suppose -y*k = -7*k. Factor 0*v + k - 4/7*v**2.
-4*v**2/7
Let i(d) be the third derivative of 0*d**3 + 0 + 1/3*d**4 + 1/30*d**5 + d**2 + 0*d. Let i(y) = 0. What is y?
-4, 0
Factor -483 + 483 + 2*f**3 - 30*f**2.
2*f**2*(f - 15)
Let r = 8308/3 - 2768. Let p(c) be the third derivative of r*c**3 + 1/60*c**6 + 2/3*c**4 + 1/6*c**5 - 13*c**2 + 0*c + 0. Let p(b) = 0. What is b?
-2, -1
Let x(c) = c**2 - 10*c + 2. Let o be x(10). Let s(v) be the second derivative of -1/8*v**2 + 0*v**3 + o*v + 1/48*v**4 + 0. Suppose s(a) = 0. What is a?
-1, 1
Let j(c) be the second derivative of -169/5*c**2 + 0 + 26/15*c**3 + 32*c - 1/30*c**4. Factor j(m).
-2*(m - 13)**2/5
Suppose 4 = -2*y + 3*h, -25*y = -22*y - 3*h. Solve -1/3*j**y - j**3 - j**2 - 1/3*j + 0 = 0.
-1, 0
Let a(t) be the second d