 + 6*q**3 - q**4 - b*q.
-q*(q - 2)*(q - 1)**2
Suppose -184*u = 88*u + 28*u. Factor u + 1/4*n**2 - 1/4*n.
n*(n - 1)/4
Suppose 4*k - i + 108 = -0*i, 0 = -2*k - 5*i - 32. Let j = -21 - k. Let 0*b - 2/3*b**2 + 0 + 2/3*b**j + 2/3*b**4 - 2/3*b**3 = 0. What is b?
-1, 0, 1
Let m(w) = -16*w**3 + 156*w**2 - 20*w + 20. Let s(g) = g**3 - 6*g**2 + g - 1. Let v(f) = m(f) + 20*s(f). Factor v(y).
4*y**2*(y + 9)
Factor -12*d**3 - 6 + 12*d**4 + 2*d**2 - 5*d**2 + 3 + 12*d - 6*d**2.
3*(d - 1)*(d + 1)*(2*d - 1)**2
Let i(u) be the second derivative of u**7/280 + u**6/40 + 3*u**5/40 + u**4/8 - 17*u**3/6 - 2*u. Let b(k) be the second derivative of i(k). Factor b(x).
3*(x + 1)**3
Suppose 3*s - 12 = -3*x, 37*x + 6*s = 39*x + 24. Suppose 3/5*p + x - 3/5*p**2 = 0. Calculate p.
0, 1
Factor -8/7*a**3 - 2/7*a**4 - 8/7*a - 2/7 - 12/7*a**2.
-2*(a + 1)**4/7
Let n(k) be the first derivative of k**5/480 - 6*k**2 - 11. Let t(l) be the second derivative of n(l). Factor t(s).
s**2/8
Let g = -768571/21 + 36599. Solve 0 - 2/21*r**4 - 2/21*r**5 - g*r**2 + 8/7*r**3 - 32/21*r = 0.
-4, -1, 0, 2
Let m be ((-252)/(-924))/(4/22). Find k such that m*k - 3/8*k**2 - 3/2 = 0.
2
Let b(y) = 33*y + 14. Let l be b(-2). Let g = 54 + l. Factor 1/4*r**5 + 0*r + 1/2*r**3 + 0*r**g + 0 - 3/4*r**4.
r**3*(r - 2)*(r - 1)/4
Let n be (-6)/(-8) + (-165)/252. Let z = n - -4/7. Factor -z*c**3 - 8/3*c**2 - 4/3 - 10/3*c.
-2*(c + 1)**2*(c + 2)/3
Factor 2/3*f**3 - 6*f + 10/3 + 2*f**2.
2*(f - 1)**2*(f + 5)/3
Suppose -2*h - 121*u - 17 = -126*u, 0 = -h - 4*u + 24. Let -1/4*l**h + 3/2*l**2 + 2*l + 3/4 + 0*l**3 = 0. What is l?
-1, 3
Suppose 0 + h + 6/7*h**2 - 1/7*h**3 = 0. Calculate h.
-1, 0, 7
Let r(m) be the third derivative of -m**5/100 - m**4/20 + 7*m**2 - 4. Let r(k) = 0. Calculate k.
-2, 0
Let r(i) be the second derivative of 35/3*i**3 + 245/2*i**2 + 0 + 5/12*i**4 + 30*i. Find s, given that r(s) = 0.
-7
Let q be (3*32/(-120))/((-2)/5). Let r(n) be the first derivative of 0*n - 2 + 2/7*n**q + 1/14*n**4 + 2/7*n**3. Factor r(a).
2*a*(a + 1)*(a + 2)/7
Let w(x) = -4*x**3 - x**2 + x + 1. Let c be 0 - (-2)/(-6)*3. Let v be w(c). Suppose 15*y**v - 21*y**3 + 3*y**2 + 3 + 6*y - 6*y**2 = 0. What is y?
-1, -1/2, 1
Let g = -7061 + 21236/3. Suppose -4/3*v**2 + 0*v - 28/3*v**3 + 0 - 20/3*v**5 - g*v**4 = 0. What is v?
-2, -2/5, -1/4, 0
Let m(z) be the first derivative of -z**6/4 + 3*z**5/2 - 9*z**4/4 - z**3 + 21*z**2/4 - 9*z/2 + 56. Let m(g) = 0. Calculate g.
-1, 1, 3
Let n(d) = 5*d**4 + 25*d**3 + 12*d**2 - 49*d - 14. Let m(t) = -t**4 - 6*t**3 - 3*t**2 + 12*t + 4. Let w(f) = -9*m(f) - 2*n(f). Suppose w(l) = 0. Calculate l.
-1, 2, 4
Let a(b) be the first derivative of -b**6/10 + b**5/10 + b**4/12 + 5*b - 8. Let p(n) be the first derivative of a(n). Factor p(m).
-m**2*(m - 1)*(3*m + 1)
Let r(m) be the second derivative of 0 + 45*m + 1/4*m**3 + 3/8*m**2 + 1/16*m**4. Factor r(v).
3*(v + 1)**2/4
Let u(w) be the third derivative of -w**6/180 + w**5/10 - 3*w**4/4 + 2*w**3/3 + 4*w**2 + 4*w. Let g(c) be the first derivative of u(c). Factor g(q).
-2*(q - 3)**2
Let f(g) = 3*g**3 + 132*g**2 - 279*g + 144. Let x(r) = -3*r**3 - 132*r**2 + 277*r - 142. Let h(u) = 2*f(u) + 3*x(u). Solve h(d) = 0.
-46, 1
Solve -2/3*z**3 + 10/3*z**2 + 0*z + 0 = 0.
0, 5
Suppose -7*o = -12*o + 490. Let p = -96 + o. Determine c so that 1/3*c**p + 2/3*c + 0 = 0.
-2, 0
Let d = 6156/5 - 1224. Let 8/5 - d*s**2 - 28/5*s = 0. What is s?
-1, 2/9
Let b(a) = 3*a**3 + 24*a**2 + 15*a - 38. Let d(i) = 3*i**3 + 24*i**2 + 15*i - 39. Let z(l) = -3*b(l) + 4*d(l). Let z(f) = 0. What is f?
-7, -2, 1
Factor -74*f**2 + 147*f**2 - 35378 + 334*f - 75*f**2 + 198*f.
-2*(f - 133)**2
Suppose 3*f + 2 = -a + 6*f, 3*f = -a + 10. Let m(p) be the third derivative of 0 - 1/40*p**6 + 0*p**a - 1/10*p**5 - p**2 + 0*p**3 + 0*p. Solve m(l) = 0 for l.
-2, 0
Let b = 72 + -70. Let i be (b + 1)/18 + 34/84. Factor -2/7*u**2 - 6/7*u - i.
-2*(u + 1)*(u + 2)/7
Let m(h) = -5*h**4 + h**3 + 24*h**2 - 24*h - 4. Let j(x) = -14*x**4 + 2*x**3 + 72*x**2 - 73*x - 11. Let p(q) = -4*j(q) + 11*m(q). Let p(c) = 0. Calculate c.
-7, 0, 2
Let c = 976 - 3899/4. What is w in -1 + 2*w - c*w**2 + 1/4*w**3 = 0?
1, 2
Let a be (9/3)/((-15)/(-10)). Suppose a*q**3 - q + 14*q**2 + q**4 - 16*q**2 + 1 + 0 - q**5 = 0. Calculate q.
-1, 1
Let l(h) be the third derivative of -h**6/840 + h**5/70 - 5*h**4/168 + 51*h**2 + h. What is j in l(j) = 0?
0, 1, 5
Let h(r) = 3*r**3 + 16*r**2 + 9*r - 4. Let w(p) = 3*p**3 + 15*p**2 + 9*p - 3. Let g(k) = 3*h(k) - 4*w(k). Factor g(u).
-3*u*(u + 1)*(u + 3)
Let y be (-2)/10 + (-17)/(-64 + -21). Let z(b) be the second derivative of 2/9*b**3 + 7/18*b**4 + 0*b**2 - 2/15*b**5 + 5*b + y. Factor z(i).
-2*i*(i - 2)*(4*i + 1)/3
Let t be -1*((-4)/(-6) - 18805/(-45)). Let g = t + 419. Factor -2/9*p - 4/9*p**2 + g*p**3 + 2/9*p**4 + 2/9 - 2/9*p**5.
-2*(p - 1)**3*(p + 1)**2/9
Let f(o) = 3*o**3 + 9*o**2 + 9*o + 15. Suppose 0*p + 2*p = 3*w - 4, 4*w + p = 9. Let m(v) = w + 1 - 4. Let d(b) = -f(b) - 12*m(b). Factor d(h).
-3*(h + 1)**3
Let t = -14 - -13. Let p be 3/(t/(3/(-1))). Suppose 0*b**3 - p*b**2 - b**3 + 8*b**2 + 0*b**2 = 0. What is b?
-1, 0
Let l be (-5)/(175/10) - 15/(-28). Let p(m) be the first derivative of -6 + l*m - 3/8*m**2 - 1/3*m**3. Factor p(x).
-(x + 1)*(4*x - 1)/4
Let o(u) be the third derivative of -1/900*u**6 + 6*u**2 + 1/300*u**5 - 7/6*u**3 + 1/30*u**4 + 0 + 0*u. Let i(w) be the first derivative of o(w). Factor i(a).
-2*(a - 2)*(a + 1)/5
Let i(a) be the second derivative of 4489*a**4/36 + 134*a**3/9 + 2*a**2/3 - 108*a. Determine v, given that i(v) = 0.
-2/67
Let i(b) = b**3 - 6*b**2 - 3*b + 4. Let g be i(6). Let z = g + 19. Factor -z*k**4 + 3*k**4 - k**4 + 5*k**2 + 4*k**2 + 6*k.
-3*k*(k - 2)*(k + 1)**2
Let d be 4/(-2) + 2 + 0. Let r(g) be the second derivative of -1/100*g**5 + 0*g**3 - 5*g + 0 + 1/60*g**4 + d*g**2. Factor r(t).
-t**2*(t - 1)/5
Find x, given that -10/13*x**2 + 0*x + 0 + 10/13*x**4 + 2/13*x**5 - 2/13*x**3 = 0.
-5, -1, 0, 1
Let l(u) be the third derivative of -19*u**8/28 + 32*u**7/15 + 2*u**6/15 - 38*u**5/5 + 53*u**4/6 + 4*u**3/3 - 18*u**2 - 5*u. Let l(j) = 0. What is j?
-1, -2/57, 1
Factor 528/7*j - 1440/7 - 58/7*j**2 + 2/7*j**3.
2*(j - 12)**2*(j - 5)/7
Let x be (8 + -2)*2/6. Suppose 26 - x = 6*n. Factor 5 - 5*j**n + 13*j**3 - 3*j**3 + 0*j**4 - 10*j + 0.
-5*(j - 1)**3*(j + 1)
Let h(d) be the first derivative of d**7/3780 + d**6/810 - d**5/540 - d**4/54 - 19*d**3/3 + 14. Let z(n) be the third derivative of h(n). Factor z(s).
2*(s - 1)*(s + 1)*(s + 2)/9
Let u(t) be the first derivative of t**5/30 - 5*t**4/12 - 2*t**3 - 31*t**2/2 + 17. Let m(y) be the second derivative of u(y). Factor m(z).
2*(z - 6)*(z + 1)
Let h(u) = 12 + 0 - u**2 + 14*u - 2*u + 3. Let v be h(13). Factor 4*m - 2*m**2 + 2*m**2 + 2*m**v + 2.
2*(m + 1)**2
Factor 98*o - 231681 + 231681 + 2*o**2.
2*o*(o + 49)
Let o = 45883/1518 + -15/253. Let n = o + -30. Find b, given that 1/3*b - n - 1/6*b**2 = 0.
1
Factor -2523/5*l**2 - 12/5 - 348/5*l.
-3*(29*l + 2)**2/5
Let o(h) = 13*h**3 + 144*h**2 + 702*h - 2035. Let q(u) = 4*u**3 + 48*u**2 + 234*u - 678. Let g(w) = 2*o(w) - 7*q(w). Find i, given that g(i) = 0.
-13, 2
Let i = 17368/9 - 1928. Factor -i*j + 10/9*j**2 - 2/9*j**3 + 8/9.
-2*(j - 2)**2*(j - 1)/9
Let v(x) be the first derivative of x**6/14 - 9*x**5/35 - 3*x**4/28 + 11*x**3/7 - 18*x**2/7 + 12*x/7 - 54. Determine r, given that v(r) = 0.
-2, 1, 2
Let p(c) be the second derivative of -2/15*c**3 + c + 0*c**2 + 1/60*c**4 + 0. Let p(j) = 0. Calculate j.
0, 4
Suppose 3*t + l - 17 = 0, -t - 4*l - l - 13 = 0. Factor -4*v**3 - 4*v**4 + 2*v**4 + 14*v**3 + t*v**4 - 5*v**5.
-5*v**3*(v - 2)*(v + 1)
Let -18*b**4 - 5*b**5 - 47*b**4 - 56*b**3 - 59*b**3 - 46*b**2 - 9*b**2 = 0. What is b?
-11, -1, 0
Let z(y) be the second derivative of -y**4/42 + y**2/7 + 4*y - 1. Determine w, given that z(w) = 0.
-1, 1
Let b be 36/15 - (-1 + (-6)/(-15)). Let k be 8 - (-4)/(-2) - b. Factor 0 - 2*h**k - 8*h**4 + 4/3*h**2 + 0*h - 14/3*h**5.
-2*h**2*(h + 1)**2*(7*h - 2)/3
Factor -169/2 + 51/2*q**2 - q**3 - 156*q.
-(q - 13)**2*(2*q + 1)/2
Suppose 13*l = -240 + 58. Let k be (-12)/(-6 - 0) - (-8)/l. Suppose k*p + 12/7*p**2 - 8/7*p**4 + 6/7*p**5 - 16/7*p**3 - 4/7 = 0. What is p?
-1, 1/3, 1, 2
Let r(j) be the third derivative of 7*j**6/40 - 5*j**5/4 - 3*j**4/2 - 31*j**2 +