n - 41*n - 46*n.
2*n*(n - 17)
Let j(l) = -2*l**3 + 19*l**2 - 11*l + 18. Let a be j(9). Let p(i) be the first derivative of 3/4*i**3 - 3/8*i**2 + a*i + 1. Factor p(y).
3*y*(3*y - 1)/4
Let m(w) be the first derivative of w**4 - 4*w**3/21 - 2*w**2 + 4*w/7 - 18. Suppose m(k) = 0. Calculate k.
-1, 1/7, 1
Let w(b) = -4*b**5 - 4*b**4 + 12*b**3 + 4*b**2 - 4*b. Let y(p) = -4*p**5 - 3*p**4 + 11*p**3 + 3*p**2 - 4*p. Let r(q) = 3*w(q) - 4*y(q). Solve r(i) = 0 for i.
-1, 0, 1
Factor -116*m**2 - 2*m**3 + 9*m**3 - m**3 - 2*m**3 + 896*m - 784.
4*(m - 14)**2*(m - 1)
Let q(l) be the second derivative of l**7/112 + l**6/80 - 3*l**5/80 - l**4/16 + l**3/16 + 3*l**2/16 + 31*l + 1. Suppose q(c) = 0. Calculate c.
-1, 1
Let m(q) be the second derivative of 0*q**5 - 1/50*q**6 + 0 - 6*q + 1/15*q**4 + 0*q**2 + 0*q**3 - 1/210*q**7. Factor m(n).
-n**2*(n - 1)*(n + 2)**2/5
Let m(d) = -4*d**3 + 13*d**2 - 44*d + 29. Let a(z) = 7*z**3 - 27*z**2 + 87*z - 57. Let x(u) = 3*a(u) + 5*m(u). Let x(f) = 0. Calculate f.
1, 2, 13
Factor -6*y**2 + 8 - 8/3*y + 0*y**3 + 2/3*y**4.
2*(y - 3)*(y - 1)*(y + 2)**2/3
Let l(a) = -2*a**3 - 15*a**2 - 6*a + 10. Let y be l(-7). Let z(t) be the first derivative of 3 - 2*t - 1/3*t**y - 3/2*t**2. Find c, given that z(c) = 0.
-2, -1
Let l = -65 - -47. Let m be -1 + (228/54 - (-4)/l). Factor 4/9*t**2 - 2/3*t**m + 0*t + 2/9*t**4 + 0.
2*t**2*(t - 2)*(t - 1)/9
Let v = -2750 - -2752. Solve 3/8*x**v + 0 - 3/8*x = 0.
0, 1
Let n(b) be the first derivative of -b**3/6 - 2*b**2/5 - 3*b/10 + 133. Determine h, given that n(h) = 0.
-1, -3/5
Solve -1/6*i**2 + i + 7/6 = 0.
-1, 7
Let k be ((-16)/30)/((-3)/9). Let v = -416/11 + 2168/55. Find b such that -v - 2/5*b**2 + k*b = 0.
2
Let j(v) be the first derivative of v**4/14 - 2*v**3/7 - v**2/7 + 6*v/7 - 144. Suppose j(b) = 0. What is b?
-1, 1, 3
Solve 3/2*b**2 + 36 + 21*b = 0.
-12, -2
Let n(v) = 10*v**2 - 2*v**2 + 3*v - 2*v**2 + 2 - 3*v**2. Let h(r) = -5*r**2 - 5*r - 4. Let s(c) = 4*h(c) + 7*n(c). Find u, given that s(u) = 0.
-2, 1
Suppose 0 = 2*i - 1225 + 385. Factor 16*m**4 + 64 + 1012*m**2 + 41*m**4 + 480*m + i*m**3 - 8*m**4.
(m + 4)**2*(7*m + 2)**2
Let r(v) = -2*v + 13. Let y be r(5). Factor -3*m**3 - 9*m**y + 4*m**4 - 24*m**4 - 3*m**3 + 5*m**2.
-5*m**2*(m + 1)*(4*m - 1)
Let f(i) be the third derivative of -i**5/12 - 25*i**4/12 - 15*i**3/2 - 2*i**2 - 34. Factor f(a).
-5*(a + 1)*(a + 9)
Let z(m) = -m**3 - 15*m**2 + 14*m - 22. Let x be z(-16). Solve -5*s**3 - 40*s + 5*s**4 - 15*s**3 - x*s**3 + 60*s**2 = 0.
0, 2
What is b in -15/4*b**3 + 0*b - 45/4*b**2 + 3 + 9/2*b**4 = 0?
-1, -2/3, 1/2, 2
Let a(h) be the first derivative of 3*h**5/20 - 5*h**4/4 + 2*h**3 + 25*h - 6. Let l(u) be the first derivative of a(u). Find m such that l(m) = 0.
0, 1, 4
Let z be 67/(70551/156)*(-6)/(-4). Let t be (1 - 4)*(-2)/3. Let 2/9*g**3 - 2/9*g + 2/9*g**4 + 0 - z*g**t = 0. What is g?
-1, 0, 1
Let k(m) be the second derivative of -m**7/840 - m**6/336 + m**5/140 + m**4/2 + 9*m. Let j(h) be the third derivative of k(h). Factor j(d).
-3*(d + 1)*(7*d - 2)/7
Let z(o) = 25*o**2 + 2. Let f be z(2). Factor 102*d + 12*d**3 + 9*d**2 + 4*d**4 - f*d.
d**2*(2*d + 3)**2
Let i be 1/(-9) + 4/36. Suppose i = 8*x - 3*x - 10. Let -2/5*p**3 - 4/5*p**x - 2/5*p + 0 = 0. What is p?
-1, 0
Let h(k) be the first derivative of -1/12*k**3 + 0*k + 10 + 1/4*k**2. What is m in h(m) = 0?
0, 2
Let n(g) be the first derivative of 49*g**4/48 + 7*g**3/6 + g**2/2 + 7*g + 16. Let w(b) be the first derivative of n(b). Solve w(a) = 0.
-2/7
Suppose -2*a - 14 = -2*k, 35 - 11 = 3*k - 4*a. Solve 2/3*s**3 - 1/3*s**k + 1/3*s**2 - 2/3*s + 0 = 0.
-1, 0, 1, 2
Let s(o) be the third derivative of -o**6/720 + o**4/48 - 17*o**3/6 - 11*o**2. Let g(w) be the first derivative of s(w). Factor g(r).
-(r - 1)*(r + 1)/2
Let a = 6 - 0. Let t = a - -15. What is d in 31*d**4 + 45*d**3 + 5 + 23*d**4 - 5 - 9*d - t*d**2 + 3 = 0?
-1, -1/2, 1/3
Suppose 48/7*r**3 + 0 - 6/7*r - 12/7*r**4 - 10/7*r**5 - 20/7*r**2 = 0. What is r?
-3, -1/5, 0, 1
Find w, given that -22*w**3 + 2 - 2*w**2 + 10 + 720*w + 6*w**4 - 682*w = 0.
-1, -1/3, 2, 3
Let k(n) be the third derivative of -7/8*n**4 - n**3 - 1/70*n**7 + 0 + 0*n - 2*n**2 - 1/8*n**6 - 9/20*n**5. Factor k(i).
-3*(i + 1)**3*(i + 2)
Determine f so that 20*f + 0 - 1/2*f**3 - 9*f**2 = 0.
-20, 0, 2
Let z(w) = -42*w**4 + 26*w**3 + 194*w**2 - 106*w - 1112. Let h(j) = -8*j**4 + 5*j**3 + 39*j**2 - 21*j - 222. Let l(a) = -16*h(a) + 3*z(a). Factor l(g).
2*(g - 4)*(g - 3)*(g + 3)**2
Let h be 2/(-3) + -1*6/18. Let i be (1 - h)*(-3 + 4). Factor 4/3*u**3 - 2/3*u**4 + 0*u - 2/3*u**i + 0.
-2*u**2*(u - 1)**2/3
Factor 0*s**2 + 0 + 5/4*s**4 + 0*s + 0*s**3 + 5*s**5.
5*s**4*(4*s + 1)/4
Find a such that -1/3*a**2 - 7*a + 0 = 0.
-21, 0
Let z = -46/35 - -26/7. Let w be (-1)/(((-30)/12)/5). Factor 2/5*r**5 + z*r**3 + 0 + 2/5*r + 8/5*r**4 + 8/5*r**w.
2*r*(r + 1)**4/5
Let t(m) be the third derivative of -m**5/45 - 196*m**4/9 - 76832*m**3/9 - m**2 - 516*m. Find p, given that t(p) = 0.
-196
Suppose 11*z - 7*z = 20. Suppose -z*q = -3*q - 14. Suppose q*d**2 + 11*d**2 + 2*d**3 - 14*d**2 = 0. Calculate d.
-2, 0
Find q, given that 1/7*q**3 + 41/7*q**2 - 85/7*q + 43/7 = 0.
-43, 1
Solve -1/11*v**3 + 3/11*v**2 - 2/11*v + 0 = 0 for v.
0, 1, 2
Suppose -5*z = -8 - 2. Factor -33 + 33 - z*n**4 + 2*n**5.
2*n**4*(n - 1)
Suppose 3*z - x - 14 = 0, z - 5*x = 6*z - 10. Suppose 4 = 7*j - 17. Determine i so that -i + 14*i**3 - 3*i + 20*i**2 - 6*i**j - z*i - 20*i**4 = 0.
-1, 0, 2/5, 1
Let v(t) = -t**3 - 2*t**2 - 4*t - 5. Let j be v(-2). Factor j - 10*s**2 - 3 + 7*s**2 + s**3.
s**2*(s - 3)
Let q(t) be the second derivative of t**5/80 - 7*t**4/48 - 5*t**3/2 - t - 18. Factor q(i).
i*(i - 12)*(i + 5)/4
Let r(o) be the second derivative of o**8/336 - o**6/120 - 17*o**2/2 - 2*o. Let q(l) be the first derivative of r(l). Factor q(h).
h**3*(h - 1)*(h + 1)
Let x(c) = -4*c**4 - 5*c**3 + 26*c**2 + 21*c - 147. Let i(s) = s**4 + s**3 - s**2 + s + 1. Let f(d) = -3*i(d) - x(d). Let f(b) = 0. Calculate b.
-4, 3
Let w be (9 - 7) + (-6)/99*30. What is m in 0*m**2 - w*m**3 - 2/11*m**5 + 0*m + 4/11*m**4 + 0 = 0?
0, 1
Factor -1 + 5*y**2 - 12623*y**3 - y - 4*y**2 + 12624*y**3.
(y - 1)*(y + 1)**2
Factor -2*h - 3433*h**2 + 3433*h**2 + 2*h**3.
2*h*(h - 1)*(h + 1)
Let r(u) be the first derivative of -2*u**3/9 - 52*u**2/3 - 1352*u/3 - 131. What is z in r(z) = 0?
-26
Let c(f) be the third derivative of -f**6/720 + 23*f**5/360 - 10*f**4/9 + 25*f**3/3 + f**2 + 14*f. Solve c(i) = 0 for i.
3, 10
Suppose 72*d = 68*d - 3*g + 9, -6 = -4*d - 2*g. Find p, given that -1/4*p**2 - 1/8*p + d - 1/8*p**3 = 0.
-1, 0
Let z(w) be the second derivative of 0 + 14*w - 1/54*w**4 - 4/9*w**2 + 4/27*w**3. Factor z(o).
-2*(o - 2)**2/9
Factor -21 - 64/3*g - 1/3*g**2.
-(g + 1)*(g + 63)/3
Let f(x) be the first derivative of 578*x**6/3 - 3876*x**5/5 + 1182*x**4 - 2488*x**3/3 + 258*x**2 - 36*x - 149. Factor f(i).
4*(i - 1)**3*(17*i - 3)**2
Suppose -21 = -9*u - 3. Factor 3*m + 12*m - u*m**2 + 5*m - 50.
-2*(m - 5)**2
Let l be ((-32)/(-56))/(6 - 352/77). Find y, given that 2/5*y**2 + l*y - 4/5 = 0.
-2, 1
Suppose -4*n - 4*w + 47 = w, n + w - 11 = 0. Suppose n*k**3 - 3*k**3 - 63 + 3 + 10*k**2 + 15*k**2 - 40*k = 0. Calculate k.
-6, -1, 2
Let q(h) = -18*h**2 + 47*h - 12. Let g be 28/56*-1*4. Let x(r) = r**2 + r - 1. Let y(p) = g*x(p) + q(p). Factor y(j).
-5*(j - 2)*(4*j - 1)
Suppose 0*n - 8 = -4*f + 3*n, -4*f = -4*n - 8. Let h + 12 - 6*h**2 - 6 - 3*h**3 + f*h = 0. Calculate h.
-2, -1, 1
Determine z so that 108/11*z**2 + 11664/11 - 1944/11*z - 2/11*z**3 = 0.
18
Let v(p) be the third derivative of 1/60*p**6 + 0*p + 0 + 0*p**3 + 1/7*p**4 + 11*p**2 - 8/105*p**5 - 1/735*p**7. What is g in v(g) = 0?
0, 2, 3
Suppose 2*f - 113 = -3*c - 31, -4*c - 2*f = -110. Let w be 13/10 - (c/(-8))/(-7). What is o in -2/5 + 2/5*o**4 + 0*o**2 + w*o**3 - 4/5*o = 0?
-1, 1
What is x in -4/7*x**2 + 520/7 + 36*x = 0?
-2, 65
Suppose -4*x = 4*w + 7 + 5, 0 = -3*x - 9. Find u, given that 1/5*u + 0*u**3 + 2/5*u**2 - 2/5*u**4 - 1/5*u**5 + w = 0.
-1, 0, 1
Let i(y) be the third derivative of 2*y**7/105 + y**6/3 + 5*y**5/3 + 155*y**2. Factor i(a).
4*a**2*(a + 5)**2
Let c(d) be the second derivative of d**6/2 + 21*d**5/10 + 13*d**4/4 + 2*d**3 - 5*d - 10. Determine z so that c(z) = 0.
-1, -4/5, 0
Let x(q) be the second deriva