-12). Factor 0 - 5/2*c**l + 5/2*c.
-5*c*(c - 1)/2
Let h(a) be the first derivative of 2/65*a**5 + 0*a**2 - 36 + 0*a**3 + 5/26*a**4 + 0*a. Factor h(y).
2*y**3*(y + 5)/13
Let j(c) = -c**2 - 3*c + 5. Let h be j(-5). Let i(w) = -w**2 - 5*w + 3. Let v be i(h). Factor -3/2*g**4 + 0*g - 3/2*g**2 + 0 + 3*g**v.
-3*g**2*(g - 1)**2/2
Let h = 72 - 51. Let d = 29 - h. Let d*w**2 - 6*w**4 + 2*w**5 + 4*w**3 - 15*w**3 + 11*w**3 = 0. What is w?
-1, 0, 2
Let z = 87 + -83. Let p - 4*p**z + 0*p + 70*p**5 - 72*p**5 + 4*p**2 + p = 0. What is p?
-1, 0, 1
Suppose 0 = -4*r + k, 11*r - 5*k = 13*r. Factor 2/19*d**3 + 4/19*d - 6/19*d**2 + r.
2*d*(d - 2)*(d - 1)/19
Let b(s) = s**2 + 5. Let h(r) = -7*r**2 - 10*r - 57. Let t(f) = 18*b(f) + 2*h(f). Factor t(w).
4*(w - 6)*(w + 1)
Let a(m) = m**3 + 35*m**2 - 28*m - 80. Let s(h) = -2*h**3 - 35*h**2 + 26*h + 80. Let v(j) = 7*a(j) + 6*s(j). Factor v(y).
-5*(y - 4)**2*(y + 1)
Suppose -5*n - 6*n = -2*n. Let b(g) be the second derivative of n + 1/6*g**3 + 0*g**2 + 1/4*g**4 + 1/30*g**6 - 8*g + 3/20*g**5. Determine s so that b(s) = 0.
-1, 0
Suppose -3*m - 5*l + 2 = -13, -2*m + 4*l - 12 = 0. Factor 0 - 2/3*a**3 + 2*a**2 + m*a.
-2*a**2*(a - 3)/3
Let t(f) be the second derivative of f**8/336 + f**7/42 + 43*f**3/6 + 34*f. Let n(s) be the second derivative of t(s). Let n(y) = 0. Calculate y.
-4, 0
Let x be (-90)/(-72) + (1 - 3/12). Let y(q) be the first derivative of -10 - 2/3*q**3 - 2*q**x + 0*q. Factor y(r).
-2*r*(r + 2)
Let m(s) = -239*s**3 + 6026*s**2 - 3380*s + 486. Let i(u) = -955*u**3 + 24105*u**2 - 13520*u + 1945. Let z(v) = 6*i(v) - 25*m(v). Find r such that z(r) = 0.
2/7, 24
Let j = -222311/4 + 55914. Let o = -336 + j. Solve -3/2 + o*i**2 - 1/4*i = 0 for i.
-2, 3
Let d(x) = -7*x - 258. Let i be d(-37). Suppose 1/2*b**2 - 3/2*b + i = 0. What is b?
1, 2
Suppose 5*w + f - 88 = 0, 3*w - f + 20 = 76. Let j = w + -35/2. Factor 0 + j*s**2 + 1/2*s.
s*(s + 1)/2
Let z = 1777/1295 + -55/37. Let y = 2/7 - z. Factor -1/5*x**2 + y*x + 0.
-x*(x - 2)/5
Suppose 48/5 + 8*d + 4/5*d**2 - 2/5*d**3 = 0. What is d?
-2, 6
Suppose 0 = -6*b - 7*b - 130. Let u be (-4)/b + 94/40. Factor -7/4*n**5 - 4*n**4 - 1/2*n**2 + 0 + 0*n - u*n**3.
-n**2*(n + 1)**2*(7*n + 2)/4
Let c = 2047 + -2043. What is b in -4/9*b**3 + 0 + 0*b + 2/9*b**c + 2/9*b**2 = 0?
0, 1
Let w = 5962 + -5960. Factor 3/4*f**w - 3/2*f + 3/4.
3*(f - 1)**2/4
Let a(u) = 2*u**5 - 2*u**4 + 6*u**3 - 2*u + 2. Let z(r) = 2*r**5 + 6*r**3 + r**2 - 3*r + 3. Let t(x) = 3*a(x) - 2*z(x). Determine l so that t(l) = 0.
0, 1
Let l be (-3 - -2)/(8 + (-150)/18). Let s(g) be the first derivative of 8 + 5/2*g**2 - g + 1/6*g**6 - g**5 + 5/2*g**4 - 10/3*g**l. Factor s(d).
(d - 1)**5
Let t(r) = -525*r**3 + 801*r**2 - 342*r + 48. Let b(d) = -d**3 - d**2 + d. Let q(f) = -18*b(f) + t(f). Factor q(l).
-3*(l - 1)*(13*l - 4)**2
Let w(f) be the first derivative of 5*f**9/3024 + f**8/336 - f**7/84 - 2*f**3/3 - 8. Let s(b) be the third derivative of w(b). Factor s(x).
5*x**3*(x - 1)*(x + 2)
Let k be 3/1 - (7 - 8). Suppose -d + k*c + 6 = 0, 4*d + 2*c = 2 + 4. Factor w**3 + w + 0*w**2 + 0*w**2 - d*w**2.
w*(w - 1)**2
Let o(d) be the first derivative of 3*d**4/28 - 6*d**3/7 + 33*d**2/14 - 18*d/7 + 117. Solve o(x) = 0 for x.
1, 2, 3
Let y(m) = -6*m - 18. Let t be y(-5). Factor 4*i + i**3 + 4*i**4 - 3*i**4 + t*i**2 + 5*i**3 + 6*i + 3.
(i + 1)**3*(i + 3)
Let n = 6744 + -47206/7. Suppose n*b**2 - 16/7 - 4/7*b = 0. Calculate b.
-2, 4
Let z(k) be the second derivative of k**6/180 + 25*k**2/2 + 20*k. Let j(u) be the first derivative of z(u). Factor j(s).
2*s**3/3
Suppose 0 + 21/8*s**5 + 42*s**3 - 63/2*s**2 - 153/8*s**4 + 6*s = 0. What is s?
0, 2/7, 1, 2, 4
Factor 20/9*h + 0 - 1/9*h**3 - 19/9*h**2.
-h*(h - 1)*(h + 20)/9
Let d(s) = -s + 1. Let w(a) = -7*a + 10. Let z(j) = -6*d(j) + w(j). Let g be z(2). Let -4/5*t - 2/5*t**4 + 0*t**g + 2/5 + 4/5*t**3 = 0. Calculate t.
-1, 1
Suppose n = -n, -3*k + 5*n = -57. Solve -k*m**3 + 3*m**5 + 10*m**3 - 3*m**3 = 0.
-2, 0, 2
Let j(y) = -21*y**3 - 48*y**2 - 57*y. Let n(o) = -12*o - 11*o**3 + 4*o + 8*o**3 - 7*o**2. Let f(b) = 2*j(b) - 15*n(b). Let f(c) = 0. What is c?
-2, -1, 0
Let l be (-189)/(-133) + 7 + (10 - 18). Factor 0*f + l*f**2 + 0 - 2/19*f**3.
-2*f**2*(f - 4)/19
Let k(u) be the first derivative of -u**7/3780 + u**5/540 + 8*u**3/3 + 9. Let y(x) be the third derivative of k(x). Factor y(q).
-2*q*(q - 1)*(q + 1)/9
Let l(q) be the first derivative of 4*q**5/25 + 8*q**4/5 - 96*q**3/5 + 64*q**2 - 448*q/5 - 373. Factor l(v).
4*(v - 2)**3*(v + 14)/5
Let y = -20817 + 20820. Suppose 10/3*q**4 - 32/3*q + 82/3*q**y - 50/3*q**5 - 2/3*q**2 - 8/3 = 0. What is q?
-1, -2/5, 1
Let i(r) be the third derivative of 0*r**4 + 1/2184*r**8 + 5*r**2 + 0*r**5 + 0*r**3 - 1/780*r**6 + 0*r + 0 + 0*r**7. Factor i(a).
2*a**3*(a - 1)*(a + 1)/13
Let c(z) be the second derivative of -z**4/4 - 7*z**3/2 - 15*z**2 - 78*z. Let c(o) = 0. What is o?
-5, -2
Suppose 3*v + j = -0*j - 14, v + j = -6. Let o be 1/((-21)/(-591)) + (v - -1). Factor 3042/7*c**4 + o*c**2 + 32/7 + 3120/7*c**3 - 320/7*c.
2*(3*c + 2)**2*(13*c - 2)**2/7
Factor 0*j - 8/3*j**2 - 4/3*j**3 + 0 + 4/3*j**4.
4*j**2*(j - 2)*(j + 1)/3
Solve -6/5*p**3 - 24/5*p**2 + 12/5*p**4 + 12/5 + 3/5*p + 3/5*p**5 = 0.
-4, -1, 1
Suppose 0*t - 9/2 + 1/2*t**2 = 0. Calculate t.
-3, 3
Let y be (13 + (-35)/7)/(-15)*(-3)/2. Find p such that 8/5*p + 4/5*p**2 + 0 - y*p**4 - 8/5*p**3 = 0.
-2, -1, 0, 1
Let k(o) be the third derivative of -o**9/75600 + o**7/12600 - 17*o**4/24 - 13*o**2. Let m(r) be the second derivative of k(r). Factor m(t).
-t**2*(t - 1)*(t + 1)/5
Let m(y) be the second derivative of -7*y**6/2700 - y**5/180 + y**4/90 + 5*y**3/3 + y. Let t(i) be the second derivative of m(i). Factor t(b).
-2*(b + 1)*(7*b - 2)/15
Let m(d) = -d**2 - 5*d - 1. Let g be m(-2). Let y be (38/6 + -5)/(g/6). Factor y + 4/5*x - 4/5*x**2.
-4*(x - 2)*(x + 1)/5
Let c = -265/4 - -1329/20. What is i in 3/10*i**4 - 3/10*i**2 + 1/10*i**3 - c*i + 0 + 1/10*i**5 = 0?
-2, -1, 0, 1
Suppose 5*x + 4*l = 10, -3*x = -4*l + 38 - 44. Let 0 + 4/7*k - 6/7*k**x + 2/7*k**3 = 0. Calculate k.
0, 1, 2
Let x = 9396 - 28178/3. Let l be (12/(-20))/(1/(-5)). Factor 4/3*m**2 + x*m**l + 0*m + 0 - 14/3*m**4.
-2*m**2*(m - 1)*(7*m + 2)/3
Determine d so that -1/3*d**2 + 46/3*d - 529/3 = 0.
23
Suppose 3*l - 9 = -3. Let z(d) = -d**3 - 5*d**2 + 2*d + 16. Let x be z(-5). Factor 8*i + 4*i**l - 15 - 1 - x*i**2 + i**2.
-(i - 4)**2
Suppose 0 = 36*m - 63*m. Let j(a) be the first derivative of 20/3*a**3 + 4*a**2 - 2 + a**4 + m*a - 8/5*a**5. Suppose j(q) = 0. What is q?
-1, -1/2, 0, 2
Let a = 9 - 6. Let q(u) = u**3 - 2*u**2 - u - 3. Let n be q(a). Let 8*b**3 - b - n + 4 - 6*b**2 - 2*b + 0 = 0. Calculate b.
-1/2, 1/4, 1
Suppose 6*s - 7*s + 7 = 0. Factor -k**2 - 4 + s*k**3 - 2*k**2 - 3*k**3 + 7*k**2 - 4*k.
4*(k - 1)*(k + 1)**2
Let k(h) be the third derivative of -2*h**7/105 + 17*h**6/30 - 88*h**5/15 + 24*h**4 - 3*h**2 - 32*h. Factor k(j).
-4*j*(j - 9)*(j - 4)**2
Let y(l) be the second derivative of -l**6/720 - l**5/240 + l**4/24 + l**3 - 4*l. Let j(d) be the second derivative of y(d). Let j(z) = 0. Calculate z.
-2, 1
Let b(f) be the third derivative of -1/2*f**6 - 11/30*f**5 + 0*f + 4/3*f**3 + 5/21*f**7 + 0 - 6*f**2 + f**4. Let b(p) = 0. Calculate p.
-2/5, 1
Let o(t) be the third derivative of t**7/630 + t**6/360 - t**5/90 + 35*t**2 - t. Factor o(y).
y**2*(y - 1)*(y + 2)/3
Let f = -59 - -63. Suppose 2*k - 10 = -2*y, -2*y = -f*y + 4*k - 20. Suppose -1/3*u**2 + 0*u**3 + 0*u + y + 1/3*u**4 = 0. What is u?
-1, 0, 1
Let i(h) be the second derivative of -5/96*h**4 - 1/2*h**2 - 2*h + 11/24*h**3 + 0. Solve i(j) = 0 for j.
2/5, 4
Factor -9/2*k**2 - 21/8*k**3 + 0 + 3/2*k.
-3*k*(k + 2)*(7*k - 2)/8
Suppose l = 5*l. Let g = 110845/221682 + -2/110841. Solve -g*n**4 + 0 + l*n + 1/2*n**2 - 1/4*n**3 + 1/4*n**5 = 0 for n.
-1, 0, 1, 2
Let t = -31 - -25. Let n be (-33)/6 + 0 - t. Factor -1/2*o**3 + 1/2*o + 1/2*o**2 + 0 - n*o**4.
-o*(o - 1)*(o + 1)**2/2
Suppose -6*p = -9*p + 12. Let t(v) be the second derivative of 0 + 2/3*v**3 + 1/12*v**p - 6*v + 2*v**2. Factor t(a).
(a + 2)**2
Let g = 219 - 402. Let w = -181 - g. Factor -1/2*u + 0 + 1/2*u**3 - 1/2*u**4 + 1/2*u**w.
-u*(u - 1)**2*(u + 1)/2
Suppose 4*m + 74 = -i + 3*i, -5*i + 3*m + 192 = 0. Find b, given that -22*b + 15*b**2 -