 = -13*s**4 - 31*s**3 - 11*s**2 + 32*s + 18. Let t(m) = -5*f(m) + 3*g(m). Factor t(d).
-(d - 1)*(d + 2)**2*(4*d + 1)
Let g = 1365/2 + -681. Find b, given that g*b - 1 - 1/2*b**2 = 0.
1, 2
Let l be 1*-3*(-21)/9. Suppose -5 = 3*t - 14. Factor -4*v**3 - 6 + 0*v**3 + l*v**t - 9*v.
3*(v - 2)*(v + 1)**2
Let u be (2 - 3)/((-50 + 52)*1/(-2)). Factor -u - 4/3*s + 1/3*s**4 + 4/3*s**3 + 2/3*s**2.
(s - 1)*(s + 1)**2*(s + 3)/3
Factor 36/5 + 22/5*g + 2/5*g**2.
2*(g + 2)*(g + 9)/5
Suppose 3*v - 4*c - 29 = 0, v - 3*v + 10 = 2*c. Let -20*d - 10*d**2 + v*d**2 - 2*d**2 = 0. Calculate d.
-4, 0
Let c(m) be the second derivative of 0 + 5/12*m**4 - 3/20*m**5 + 16/9*m**3 + 2*m**2 - 12*m. Let c(v) = 0. What is v?
-2/3, 3
Let w(i) = 12110 - 12120 - 3*i**2 + i**3 - 25*i - 8*i**2. Let s be w(13). Factor 1 + 1/3*g**s + 5/3*g**2 + 7/3*g.
(g + 1)**2*(g + 3)/3
Suppose 6*t = 53 - 23. Suppose 0*y = t*y. Let y*l + l**3 + l - l = 0. Calculate l.
0
Let a(p) = p**3 + p**2 + p - 1. Let u(x) = 8*x**3 - 12*x**2 - 8*x + 4. Suppose -1 = 13*n - 12*n. Let o(s) = n*u(s) - 4*a(s). Factor o(z).
-4*z*(z - 1)*(3*z + 1)
Find t, given that 6/13*t - 6/13*t**2 - 4/13*t**3 + 4/13 = 0.
-2, -1/2, 1
Let z be 80/360 - (-50)/18. Solve 2/3*l**2 + 1/3*l**5 - 1/3*l - 2/3*l**4 + 0*l**z + 0 = 0.
-1, 0, 1
Let v(u) be the third derivative of 0 + 1/110*u**5 + u + 2*u**2 + 0*u**3 - 5/22*u**4. Suppose v(d) = 0. What is d?
0, 10
Factor -1/2*y**2 + 8*y + 8 - 1/2*y**3.
-(y - 4)*(y + 1)*(y + 4)/2
Suppose -5*h + 57 = -5*j + 147, -h - 2*j - 9 = 0. Let v be -5 - 19*h/55. Factor -4/11*b + v*b**2 - 6/11.
2*(b - 3)*(b + 1)/11
Let y be (-6)/1 - (477/45 - 9 - 8). Factor -y*s**2 - 10 - 4*s.
-2*(s + 5)**2/5
Let z(x) be the second derivative of -1/12*x**4 + 2/3*x**3 + 0 - 20*x + 0*x**2. Let z(a) = 0. What is a?
0, 4
Let p(d) be the third derivative of d**5/210 + d**4/6 + 13*d**3/21 - 132*d**2. Let p(q) = 0. What is q?
-13, -1
Let r(i) be the second derivative of i**4/12 - i**3/2 + 2*i**2 - 3*i. Suppose 41*n - 16 = 37*n. Let h(x) = 1. Let d(f) = n*h(f) - 2*r(f). What is b in d(b) = 0?
1, 2
Factor 18/11*f**4 - 40/11*f**3 + 8/11*f**2 + 0 + 0*f.
2*f**2*(f - 2)*(9*f - 2)/11
Let c be 22/(-3 - -5) - 3. Factor -23*a**3 - a**2 + 29*a**2 - c*a**2 + 0*a**2 - 4*a + 7*a**4.
a*(a - 2)*(a - 1)*(7*a - 2)
Let v(p) = 3*p**5 + p**3 - 3*p + 2*p**5 - 6*p**5 + 2*p**3. Let g(s) = -s**5 + s**3 + s. Let w(a) = -g(a) - v(a). Find b, given that w(b) = 0.
-1, 0, 1
Let h(l) = 9*l**2 + 6*l - 1. Let v(o) = 4*o**2 + 3*o - 1. Let q(t) = -3*h(t) + 7*v(t). Let n(u) = 3*u**2 + 5*u - 8. Let r(g) = 4*n(g) - 9*q(g). Factor r(f).
(f - 1)*(3*f - 4)
Let l = 14 - 6. Suppose 0 = -5*b + l + 2. Factor -3*q**b + 0*q - 3*q + 1 - 1.
-3*q*(q + 1)
Let c be 0 + 3818/(-26) + (-31)/31. Let p = c - -148. Factor 2/13*r**4 + 2/13*r - p*r**3 + 0 - 2/13*r**2.
2*r*(r - 1)**2*(r + 1)/13
Let d(u) = -12*u**3 - 300*u**2 + 5756*u - 5508. Let z(s) = s**3 + s + 2. Let w(n) = -d(n) - 16*z(n). Factor w(y).
-4*(y - 37)**2*(y - 1)
Let d(h) = -h + 1. Let p(m) = -m**2 + 2*m - 1. Let a(q) = -3*d(q) - 2*p(q). Let y be a(-1). Find k such that y*k + 12*k + 3*k - 16 - 12*k**2 + 2*k**3 + 7*k = 0.
2
Let a(q) be the third derivative of -q**7/490 - 3*q**6/140 - 13*q**5/140 - 3*q**4/14 - 2*q**3/7 - 2*q**2 + 14*q. Let a(z) = 0. What is z?
-2, -1
Let z(a) be the first derivative of -2*a**5/5 + 5*a**4/2 + 14*a**3/3 - 5*a**2 - 12*a - 11. Solve z(b) = 0 for b.
-1, 1, 6
Let y(i) be the second derivative of 7*i**5/240 + i**4/16 - i**3/24 + 15*i**2/2 - 6*i. Let j(p) be the first derivative of y(p). Suppose j(m) = 0. What is m?
-1, 1/7
Let k be (9 - 3) + (-3 + -21)/8. Determine q so that -2/7*q - 6/7*q**k + 8/7*q**2 + 0 = 0.
0, 1/3, 1
Suppose -25*t - 24 - 1/4*t**3 - 7*t**2 = 0. What is t?
-24, -2
Let n(x) = -x - 9. Let t be n(-11). Let o be ((-2)/(-4))/(t/48). What is l in 0*l - o*l**3 + 12*l**3 + 2*l**2 - l**5 + l - 2*l**4 = 0?
-1, 0, 1
Let j(f) = 13*f**2 - 9*f**3 - 2*f**2 + 4 + 8*f**3 - 1. Let t(o) = 4*o**3 - 56*o**2 - 16. Let v(z) = 16*j(z) + 3*t(z). Solve v(c) = 0 for c.
0, 2
Let k(a) be the first derivative of -a**8/336 - a**7/84 - a**6/72 + 8*a**3/3 + 2. Let d(c) be the third derivative of k(c). Find m, given that d(m) = 0.
-1, 0
Let b(h) = -4*h**3 - 3*h**2 + 12*h - 15. Let x(m) = 3*m**3 + 4*m**2 - 11*m + 12. Let c(d) = -4*b(d) - 5*x(d). Suppose c(p) = 0. Calculate p.
0, 1, 7
Let d(w) = w**2 + 4*w - 4. Let b be d(-5). Let h be b/(-5)*10/(-1). Factor 2/9 + 2/9*m**h + 4/9*m.
2*(m + 1)**2/9
Let p = -185 + 185. Let i(o) be the first derivative of 0*o + p*o**2 - 6 + 1/2*o**4 - 2/3*o**3. Factor i(z).
2*z**2*(z - 1)
Let t(y) be the third derivative of -8*y**7/105 + 11*y**6/5 + 9*y**5/4 + 17*y**4/24 + 78*y**2. Solve t(w) = 0 for w.
-1/4, 0, 17
Let h(y) = 2*y**2 + 4 + 3*y**2 + 15*y + 2*y**3 + 0*y**3 - 11*y. Let s be h(-2). What is a in -2/5*a**5 - 2/5*a**2 + 2/5*a**3 + 2/5*a**4 + s + 0*a = 0?
-1, 0, 1
Let z(n) be the first derivative of -818*n**5/55 + 1225*n**4/22 - 74*n**3 + 403*n**2/11 + 4*n/11 - 397. Suppose z(k) = 0. Calculate k.
-2/409, 1
Let l(z) = -6*z. Let r(q) be the first derivative of -q**4/4 - q**3/3 + 3*q**2 + 7. Let g(i) = 2*l(i) + 3*r(i). Find v such that g(v) = 0.
-2, 0, 1
Let l(i) = i**3 + 3*i**2 + 4*i. Let a be l(-3). Let z = a + 14. Suppose -12*j**4 - 3*j + 5*j**3 + 0*j**3 + 3*j**z + 9*j**2 - 2*j**3 = 0. What is j?
-1, 0, 1/4, 1
Factor 89 - 16 - 1 - 219*g + 9*g**2.
3*(g - 24)*(3*g - 1)
Let q be 2/8 - (7 + 195/(-20)). Factor 1/2*h**q + 0 + 0*h**2 + 0*h.
h**3/2
Let 2/7*k**3 + 228/7*k**2 + 8664/7*k + 109744/7 = 0. What is k?
-38
Let p(n) = 3 - n**3 - 15*n - 2*n**3 + 7*n**2 + 4*n. Let h(x) = -x**2 - x. Let t(a) = -2*h(a) + p(a). Factor t(q).
-3*(q - 1)**3
Factor 0 - 6*h**3 - 3/2*h**4 - 15/2*h**2 - 3*h.
-3*h*(h + 1)**2*(h + 2)/2
Let j(z) = -2*z**5 + 5*z**4 - 21*z**3 + 3*z**2 - 5. Let x(y) = y - 3*y**5 + 8*y**4 - 31*y**3 - 7 + 5*y**2 - y. Let b(k) = 7*j(k) - 5*x(k). Factor b(o).
o**2*(o - 2)**2*(o - 1)
Let h(k) = -k**3 + 4*k**2 + 10*k + 15. Let x be h(6). Let p be (-4)/x*(-1 + 1 - 1). Determine w so that -p*w + 2 + 2/9*w**2 = 0.
3
Let m(w) be the first derivative of -3*w**5/25 - 3*w**4/20 + 2*w**3/5 - 42. Determine p so that m(p) = 0.
-2, 0, 1
Let r(a) be the third derivative of a**6/540 - a**5/54 + a**4/36 + a**3/3 + 24*a**2 + 4*a. Factor r(f).
2*(f - 3)**2*(f + 1)/9
Suppose -3*l = 4*l - 21. Determine n, given that 12*n**3 + 8 + 3*n**2 + 2*n**l + 3*n**5 + 7*n**3 - 24*n - 15*n**4 + 4 = 0.
-1, 1, 2
Let t(r) be the second derivative of -r**6/30 - 11*r**5/35 - 5*r**4/84 + 22*r**3/21 + 6*r**2/7 - 87*r. Find b, given that t(b) = 0.
-6, -1, -2/7, 1
Let r(b) be the second derivative of 0 + 14*b - 1/2*b**4 + 0*b**2 - 1/2*b**3 - 3/20*b**5. Factor r(v).
-3*v*(v + 1)**2
Let n(q) be the second derivative of q**4/3 + 212*q**3 + 50562*q**2 - 41*q. Solve n(v) = 0 for v.
-159
Let c(u) be the second derivative of u**7/2520 + u**6/270 + u**5/90 + 2*u**3/3 + 8*u. Let n(m) be the second derivative of c(m). Factor n(h).
h*(h + 2)**2/3
Let 21/4*l - 9/2*l**2 + 19/2 - 1/4*l**3 = 0. What is l?
-19, -1, 2
Suppose -5*n - 20 = j - n, 4*n + 20 = 0. Let v = 5 - 1. Factor j + 0*s + 4/5*s**3 - 2/5*s**2 - 2/5*s**v.
-2*s**2*(s - 1)**2/5
Let v(w) = -w**2 - 8*w - 4. Let n be v(-6). Let r(s) = 2*s - 10. Let g be r(n). Let 4*c**3 + 2*c**4 + 0 - g + 1 + 3 - 4*c = 0. Calculate c.
-1, 1
Let n = 2/394287 + 61902485/113160369. Let x = n - -1/41. Factor 0 + 0*j + 4/7*j**3 - x*j**5 - 4/7*j**4 + 4/7*j**2.
-4*j**2*(j - 1)*(j + 1)**2/7
Let a(v) be the first derivative of v**3/3 - v**2/2 - 2*v - 142. Determine f so that a(f) = 0.
-1, 2
Let q(z) be the second derivative of -z**5/70 + z**3/21 + 64*z - 1. Solve q(w) = 0 for w.
-1, 0, 1
Let a be (-142)/60 + 2 - 32/(-80). Let m(k) be the second derivative of 0*k**3 + 0*k**2 + 0*k**4 + 1/40*k**5 + 1/84*k**7 - 3*k + a*k**6 + 0. Factor m(j).
j**3*(j + 1)**2/2
What is c in 1/5*c**2 + 15*c + 74/5 = 0?
-74, -1
Suppose 10*z = 2337 - 587. Determine l so that l**4 + 8*l**2 + 4*l - z*l**3 + 170*l**3 - 8*l = 0.
0, 1, 2
Let n(k) be the second derivative of 2*k**6/15 - k**5/5 - 2*k**4/3 + 27*k - 1. Determine f, given that n(f) = 0.
-1, 0, 2
Suppose 27/2*i**2 + 15*i + 21/4*i**3 + 3/4*i**4 + 6 = 0. What is i?
-2, -1
Let o = -7561 - -15513/2. Let n = o - 195. Solve -9/4*p - n + 15/4*p**3 - p**2 = 0 for p.
-2/5, -1/3, 1
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