 u(g) = 4*a(g) - 9*k(g). Factor u(h).
-h*(h + 1)*(h + 2)
Let a be 700/(-126) + 12/2. Let w(z) be the first derivative of 0*z**4 - 2/15*z**5 - 2/3*z + a*z**3 - 3 + 0*z**2. Factor w(v).
-2*(v - 1)**2*(v + 1)**2/3
Let i(a) be the first derivative of -3*a**7/980 - a**6/630 - 13*a**3/3 + 12. Let x(b) be the third derivative of i(b). Factor x(m).
-2*m**2*(9*m + 2)/7
Suppose 4*s + 5*o - 12 = 0, o = -5*s - 24 + 39. Solve 4/5*r**4 - 2/5*r**2 - 2/5 - 6/5*r + 6/5*r**s = 0 for r.
-1, -1/2, 1
Let t = -82 - -88. What is p in 20*p**2 - 4*p - t*p**3 + 2*p + 0*p**3 - 12 = 0?
-2/3, 1, 3
Let f(k) be the second derivative of 11*k**7/6 + 23*k**6/10 - 311*k**5/5 + 416*k**4/3 - 16*k**3 - 40*k**2 + 446*k. Determine i, given that f(i) = 0.
-5, -2/11, 2/7, 2
Factor 36 + 3/8*a**2 + 291/8*a.
3*(a + 1)*(a + 96)/8
Let d = 6518/13 - 54115/91. Let w = -93 - d. Factor -6/7 + 4/7*n + w*n**2.
2*(n - 1)*(n + 3)/7
Let g(u) = -u**5 + 13*u**4 - 38*u**3 - 12*u**2 + 147*u + 117. Let w(a) = -a**3 - a**2 + a - 1. Let i(f) = g(f) + 5*w(f). Factor i(h).
-(h - 7)*(h - 4)**2*(h + 1)**2
Suppose g + 2*g = -4*a + 4, 2*a = 5*g + 2. Let z(d) be the second derivative of 3/10*d**5 + 0*d**2 - 2/15*d**6 + 2*d + g*d**4 - 1/3*d**3 + 0. Factor z(q).
-2*q*(q - 1)**2*(2*q + 1)
Let f(u) = 19*u**3 + 60*u**2 + 2*u - 66. Let c(d) = -26*d**3 - 58*d**2 - 2*d + 66. Let p(i) = -3*c(i) - 4*f(i). Factor p(z).
2*(z - 33)*(z - 1)*(z + 1)
Let b be ((1 - -1)/(-8))/((-20)/240). What is p in -12*p**2 + 7*p**3 + 2*p**b + 3*p + 60 - 60 = 0?
0, 1/3, 1
Let a(n) be the third derivative of -n**6/420 - 22*n**5/105 + 13*n**4/12 - 46*n**3/21 + 171*n**2. Factor a(d).
-2*(d - 1)**2*(d + 46)/7
Find b, given that 3/7*b**2 + 1029 + 42*b = 0.
-49
Let s(q) be the first derivative of 3*q**5/5 + 39*q**4/4 - 14*q**3 + 252. Determine x, given that s(x) = 0.
-14, 0, 1
Let x(v) = v**2 - 4*v + 164. Let l be x(0). Let d = -487/3 + l. Let -2/3*h + 0 + h**2 + d*h**3 = 0. Calculate h.
-1, 0, 2/5
What is s in 8/7*s - 10/7*s**5 - 4/7*s**4 + 0 + 32/7*s**2 + 30/7*s**3 = 0?
-1, -2/5, 0, 2
Let l(q) be the third derivative of -11*q**5/12 - 15*q**4/4 + 20*q**3/3 - 67*q**2. Suppose l(y) = 0. Calculate y.
-2, 4/11
Let m be (-120)/84*(-18)/15. Suppose -m*q + 0 + 4/7*q**4 + 12/7*q**3 - 4/7*q**2 = 0. Calculate q.
-3, -1, 0, 1
Suppose 2*d - 5*d = -4*v + 25, 4*v + d = 13. Let -22*g**3 - 34*g + 5*g**4 + 7*g**3 + 22*g - 2*g**v + 24*g**2 = 0. What is g?
0, 1, 2
Let h(q) be the second derivative of q**5/150 + 7*q**4/90 + 14*q**3/45 + 8*q**2/15 - 13*q. Solve h(r) = 0.
-4, -2, -1
Factor 46/21 - 2/21*s**2 + 44/21*s.
-2*(s - 23)*(s + 1)/21
Let m be (0/5 - 3) + 3. Let m*o - o**3 + 6*o**2 - 4*o**3 - 3*o**3 + 2*o = 0. Calculate o.
-1/4, 0, 1
Let j(s) be the first derivative of s**5/5 + 3*s**4/4 + s**3 + s**2/2 + 7*s + 11. Let h(m) be the first derivative of j(m). Solve h(w) = 0 for w.
-1, -1/4
Let w(q) be the first derivative of q**6/40 - 3*q**5/20 + 2*q**3 - 6*q**2 + 20*q + 15. Let u(n) be the first derivative of w(n). Factor u(o).
3*(o - 2)**3*(o + 2)/4
Let y = -24/29 - -317/348. Let o(p) be the first derivative of -y*p**3 + 0*p**2 + 5 + 1/4*p. Determine v, given that o(v) = 0.
-1, 1
Let p = 18 - 13. Let z = 15 - p. Factor 22*k + 28*k + 14*k**2 + z*k + 45 + 6*k**2.
5*(2*k + 3)**2
Let a(m) = -m**3 + m**2 + 1. Let c(t) = 7*t**3 - 18*t**2 + 48*t + 2. Let l(o) = -6*a(o) - c(o). Let s(b) be the first derivative of l(b). Factor s(f).
-3*(f - 4)**2
Let z(o) = -7*o**2 - 5*o - 2. Let b(d) = 2*d**3 + 4*d**2 + 2*d. Let w be b(-2). Let j(q) = -6*q**2 - 5*q - 1. Let c(h) = w*z(h) + 5*j(h). Factor c(a).
-(a + 3)*(2*a - 1)
Let q(f) be the first derivative of 1/15*f**3 - 2/5*f**2 + 0*f - 28. Factor q(r).
r*(r - 4)/5
Let g(j) be the second derivative of -j**6/30 - j**5/10 + j**4/4 + 2*j**3/3 - 2*j**2 + 106*j. Factor g(s).
-(s - 1)**2*(s + 2)**2
Let z(l) be the second derivative of -l**6/120 - 3*l**5/40 - 13*l**4/48 - l**3/2 - l**2/2 - 40*l - 1. Factor z(g).
-(g + 1)**2*(g + 2)**2/4
Let y be (21/14)/(3/(-8)). Let v(x) = -x**2 - 5*x. Let s be v(y). Factor s*c**3 + 0*c**2 - c**3 - 4*c**3 - c**2.
-c**2*(c + 1)
Let c be 3/(-2) - 237/(-2). Solve -163 - c + 0*a**2 - 4*a**2 + 24 - 64*a = 0 for a.
-8
Let h be (-582)/18 - 5 - (-2)/6. Let t be (69/8)/3 + h/(-296). Factor -2/5 - 6/5*s - 6/5*s**2 - 2/5*s**t.
-2*(s + 1)**3/5
Find a such that 2577 + 3823 + 1146*a**3 + 6*a**4 + 30*a**4 + 12496*a**2 + 246*a**3 - 18560*a = 0.
-20, 2/3
Factor 484/7 + 48/7*d**2 - 2/7*d**3 - 330/7*d.
-2*(d - 11)**2*(d - 2)/7
Suppose 12 = 4*l - 8. Suppose -23 = -4*v + 3*m, -v + l*v - 4*m = 28. Find c, given that 2/7*c**5 + 0 - 4/7*c**v + 4/7*c**4 - 2/7*c + 0*c**3 = 0.
-1, 0, 1
Let u(g) be the third derivative of g**7/1785 - 3*g**6/68 - 23*g**5/255 - 7*g**2 - 3. Factor u(j).
2*j**2*(j - 46)*(j + 1)/17
Let u be 1/(4/6)*2. Factor -9*t**3 - 10*t**2 - 2*t - 8*t**4 - 10*t**3 + 3*t**u.
-2*t*(t + 1)*(2*t + 1)**2
Let g(n) be the second derivative of 289*n**5/140 - 799*n**4/84 - 100*n**3/21 - 6*n**2/7 + 2*n - 15. Solve g(t) = 0.
-2/17, 3
Let u(z) be the third derivative of z**9/1512 + z**8/420 - z**7/420 - z**6/90 - 7*z**3/3 - 21*z**2. Let s(d) be the first derivative of u(d). Factor s(w).
2*w**2*(w - 1)*(w + 1)*(w + 2)
Let c(f) be the second derivative of f**10/75600 - f**8/8400 + f**6/1800 + 5*f**4/4 + 24*f. Let l(o) be the third derivative of c(o). Factor l(i).
2*i*(i - 1)**2*(i + 1)**2/5
Let i(c) be the first derivative of -3*c**2 + 0*c - 1/2*c**3 - 16 + 3/10*c**5 + 3/2*c**4. Solve i(o) = 0.
-4, -1, 0, 1
Let g be -2*3/6*-151. Suppose -7*u + 38 = -g. Factor -u*i**2 - 4 + 30*i - 243/2*i**3.
-(3*i + 2)*(9*i - 2)**2/2
Let w(d) be the second derivative of 1/50*d**6 + 0 + 0*d**3 - 1/100*d**5 - 1/20*d**4 + 22*d + 0*d**2 + 1/210*d**7. Factor w(h).
h**2*(h - 1)*(h + 1)*(h + 3)/5
Factor -36 + 4*m**3 + 0*m**3 + 348*m**2 + 375*m**2 + 76*m - 767*m**2.
4*(m - 9)*(m - 1)**2
Factor 0 + 4/5*l - 1/5*l**2.
-l*(l - 4)/5
Let d(f) be the second derivative of 31*f - 1/84*f**4 + 0 - 50/7*f**2 - 10/21*f**3. Factor d(u).
-(u + 10)**2/7
What is s in -3/2*s**2 + 4*s - 5/2 = 0?
1, 5/3
Let b = 1959/452 + -66/113. Determine n so that -b*n**2 + 15/4*n**4 + 0 + 0*n**3 - 3/2*n + 3/2*n**5 = 0.
-2, -1, -1/2, 0, 1
Factor 16 + 22*c - 2*c**4 - 1135*c**3 + 6*c**2 + 1127*c**3 + 6*c.
-2*(c - 2)*(c + 1)**2*(c + 4)
Determine a so that 23/4*a**3 - 12 + 5*a**2 - 1/2*a**4 - 23*a = 0.
-2, -1/2, 2, 12
Let f be (26/(-91))/(9/(-7)). Let w(a) be the second derivative of 1/30*a**5 + 3*a - 1/6*a**4 + 0 + 0*a**2 + f*a**3. Solve w(k) = 0 for k.
0, 1, 2
Let l(p) = p**2 + 9 + 57*p**3 + 4*p - 55*p**3 - 2. Let d(q) = -q**3 + q**2 - 1. Let x(o) = 14*d(o) + 2*l(o). Factor x(u).
-2*u*(u - 2)*(5*u + 2)
Let w(j) be the second derivative of -j**8/70560 - j**7/8820 + j**6/7560 + j**5/420 + 7*j**4/6 + 22*j. Let t(f) be the third derivative of w(f). Factor t(v).
-2*(v - 1)*(v + 1)*(v + 3)/21
Let t = 2831 + -113231/40. Let q(z) be the first derivative of 1/16*z**6 + t*z**5 + 3/16*z**4 - 8 - 3/8*z - 1/4*z**3 - 9/16*z**2. Factor q(v).
3*(v - 1)*(v + 1)**4/8
Let n = 6/787 + 3923/1574. Factor -n*w**3 + 0 - 3*w**2 - 1/2*w**4 + 0*w.
-w**2*(w + 2)*(w + 3)/2
Factor -42*x**2 - 15 + 56 + x**4 + 65*x + 59*x - 40*x**3 - 84*x.
(x - 41)*(x - 1)*(x + 1)**2
Suppose 0 + 3/5*q**4 + 1/5*q**5 - 23/5*q**3 - 14/5*q + 33/5*q**2 = 0. What is q?
-7, 0, 1, 2
Let u(v) = 7*v**2 + 40*v + 51. Let l(g) = -15*g**2 - 78*g - 102. Let h(a) = 6*l(a) + 13*u(a). Let h(y) = 0. Calculate y.
-51, -1
What is a in -22*a**3 + 6316*a**4 - 6321*a**4 - 48*a**3 = 0?
-14, 0
Let l(f) be the second derivative of 9*f + 0 + 2/3*f**3 - 1/12*f**4 - 2*f**2. Factor l(t).
-(t - 2)**2
Let h = 838 - 833. Let m(k) be the first derivative of 1/15*k**h + 0*k + 0*k**3 - 1/4*k**4 - 4 + 2/3*k**2. Solve m(q) = 0 for q.
-1, 0, 2
Let t(l) be the third derivative of -343*l**7/90 - 343*l**6/18 - 245*l**5/6 - 875*l**4/18 - 625*l**3/18 - 36*l**2 + 1. Factor t(b).
-(7*b + 5)**4/3
Let n = -19 - -33. Let 6*x**2 + 14*x**3 - x**2 + 4*x**4 - 9*x**2 - n*x**5 = 0. What is x?
-1, 0, 2/7, 1
Let y(i) be the first derivative of -7*i**8/12 + 53*i**6/30 - 2*i**4/3 - 9*i**2/2 + 18. Let s(p) be the second derivative of y(p). Suppose s(j) = 0. What is j?
-1, -2/7, 0, 2/7, 1
Solve 4/3*f**3 - 2/3*f**2 + 2/3*f**4 - 4/3*f + 0 = 0 for f.
-2, -1, 0, 1
Suppose -255/7*r**2 + 93/7*r + 75/7*