6 - -38. Suppose -3*w - x + 11 = 0. What is l in 5 - l**w + l**4 - 3 - 2 = 0?
0, 1
Let s = 57 - 55. Let j be s/4 + -1*6/12. Suppose j + 0*i - 1/4*i**2 = 0. Calculate i.
0
Let z be -9 - (2 - -20)*(-23)/46. Let 0 - 12/5*t**z + 9/5*t + 3/5*t**3 = 0. What is t?
0, 1, 3
Let u(r) be the third derivative of -r**6/120 + r**5/15 - r**4/24 - r**3 + 53*r**2. Factor u(x).
-(x - 3)*(x - 2)*(x + 1)
Suppose -19*r + 34 = -42. Let j(n) be the first derivative of 5/2*n**2 - 2*n**3 - 1/2*n**r + 7/5*n**5 - n - 1/2*n**6 + 2. Factor j(v).
-(v - 1)**3*(v + 1)*(3*v - 1)
Let o be (2 + 9/(-12))*6/5. Let r(j) be the third derivative of 5*j**2 + 0*j + 0 + o*j**3 - 1/4*j**4 + 1/60*j**5. Factor r(f).
(f - 3)**2
Find o, given that -5*o - 2*o + 14*o**2 - 8*o**4 - 18*o**2 - 12*o**3 + 7*o = 0.
-1, -1/2, 0
Factor -91595*d**2 + 45*d + 91595*d**2 - 5*d**3.
-5*d*(d - 3)*(d + 3)
Let d(g) be the third derivative of -g**7/70 + g**6/5 - 23*g**5/20 + 7*g**4/2 - 6*g**3 - 188*g**2. Factor d(v).
-3*(v - 3)*(v - 2)**2*(v - 1)
Let p(t) be the first derivative of 2*t**5/35 + 4*t**4/7 - 16*t**3/21 - 96*t**2/7 + 288*t/7 + 77. Factor p(n).
2*(n - 2)**2*(n + 6)**2/7
Let y = 3/445 - -109/49840. Let a(u) be the second derivative of y*u**7 - 3/80*u**5 + 0*u**4 + 3*u + 0*u**3 + 0*u**2 + 0 + 1/80*u**6. Factor a(c).
3*c**3*(c - 1)*(c + 2)/8
Let o be 1*(1 - (-2 + 1)). Let i(m) = m**3 - 3*m**2 + m. Let k be i(3). Solve 6*g - 2*g**2 + k*g**2 - 2*g**o + 2 - 11 = 0.
3
Suppose -2*w = 2*w - 12. Factor -8 - h**2 + w*h**3 - 12*h + h**3 + h**2.
4*(h - 2)*(h + 1)**2
Let b be (2/(-2))/(1/(-3)). Factor 7*l - 31*l - 41*l**b - 27 + 40*l**3 + 11*l**2 - 9.
-(l - 6)**2*(l + 1)
Let r(c) = -3*c**2 - 25*c + 24. Let b(d) = -30*d**2 - 252*d + 240. Let p(y) = 2*b(y) - 21*r(y). Solve p(t) = 0 for t.
-8, 1
Let z(h) be the first derivative of -2*h**7/105 + h**6/10 + h**5/15 - h**4/2 + 9*h**2/2 - 14. Let l(w) be the second derivative of z(w). Solve l(o) = 0 for o.
-1, 0, 1, 3
Let z = 11 - 8. Suppose 6*k - 9 - 15 = 0. Factor z*f**k + 2*f + 11*f**2 + 7*f**3 - f - 6*f**2.
f*(f + 1)**2*(3*f + 1)
Let y(l) be the second derivative of 2*l**6/75 + 32*l**5/25 + 256*l**4/15 + 4*l - 2. Solve y(u) = 0.
-16, 0
Let k(v) be the second derivative of -3/130*v**5 + 2/13*v**2 + 0 - 2/39*v**4 + 15*v + 1/39*v**3. Factor k(j).
-2*(j + 1)**2*(3*j - 2)/13
Let d(l) = 6*l**2 + 43*l + 9. Let g be d(-7). Factor -n**3 + 0*n + 0*n**g + 1/2*n**4 + 0.
n**3*(n - 2)/2
Let v(u) = -u**2 + u - 16. Let i be v(5). Let x = i - -38. Solve 0 - 3/5*d - 6/5*d**x - 3/5*d**3 = 0 for d.
-1, 0
Suppose 2*g = k + 15, -9 - 6 = 5*k + 5*g. Let h be (4/k)/(36/(-126)). Factor -1/6*s - 1/6*s**h + 0.
-s*(s + 1)/6
Let p be (-20)/10 + (-8)/(-3). Find f, given that p + 3*f - 11/3*f**2 = 0.
-2/11, 1
Let g be -4*(-180)/(-1248)*4/6*-2. Suppose 0 = -0*m - 4*m + 8. Factor -g*w**m - 2/13*w**3 - 16/13*w - 8/13.
-2*(w + 1)*(w + 2)**2/13
Find l, given that -3*l**2 - l**2 + 12*l + 210 - 218 = 0.
1, 2
Determine f, given that -8/5*f**2 - 2/15*f**4 + 0 + 4/5*f**3 + 16/15*f = 0.
0, 2
Let x be (-3)/9 + 14/6. Let y(u) be the second derivative of 2/3*u**2 + x*u - 1/12*u**4 + 0*u**3 + 0 + 1/60*u**5. Find m such that y(m) = 0.
-1, 2
Let j(c) be the first derivative of c**4 - 12*c**3 + 54*c**2 - 108*c + 119. Factor j(k).
4*(k - 3)**3
Let s(u) be the second derivative of -55*u**4/36 - 53*u**3/18 + u**2/3 - 18*u. Solve s(j) = 0.
-1, 2/55
Factor -5/6*b**2 + 7/6*b**3 - 22/3*b - 2.
(b - 3)*(b + 2)*(7*b + 2)/6
Let w(m) be the first derivative of -7*m**5 + 23*m**4/2 + 44*m**3/3 + 4*m**2 + 70. Suppose w(k) = 0. Calculate k.
-2/5, -2/7, 0, 2
Let s(f) be the third derivative of -f**7/84 + 5*f**6/12 - 13*f**5/4 - 275*f**4/12 - 605*f**3/12 + 13*f**2 - 14*f. Factor s(w).
-5*(w - 11)**2*(w + 1)**2/2
Let k(c) be the first derivative of -3/2*c**2 - 12 - 1/3*c**3 + 0*c. Factor k(y).
-y*(y + 3)
Let y(v) = -23*v**2 + 23*v + 30. Suppose o + 3 = -5. Let x(j) = 8*j**2 - 8*j - 10. Let h(b) = o*x(b) - 3*y(b). Factor h(t).
5*(t - 2)*(t + 1)
Factor -9*v**3 + 43 + 192*v**2 + 12*v**2 + 683 - 1221*v.
-3*(v - 11)**2*(3*v - 2)
Let g(m) be the second derivative of -m**7/147 - m**6/35 - m**5/35 + m**4/21 + m**3/7 + m**2/7 - 65*m. Let g(l) = 0. What is l?
-1, 1
Factor -9/2*i**2 - 3/2*i**3 - 3*i + 0.
-3*i*(i + 1)*(i + 2)/2
Let f(q) be the third derivative of q**6/180 + 13*q**5/15 + 169*q**4/3 + 17576*q**3/9 + 51*q**2. Factor f(v).
2*(v + 26)**3/3
Suppose -3*r - 2*q + 22 = 0, 5*r - 6*r + 9 = q. Let w(t) be the second derivative of -3/4*t**2 - 1/8*t**r + 6*t - 1/2*t**3 + 0. Factor w(v).
-3*(v + 1)**2/2
Let l(g) = 2*g**2 - 6*g + 4. Let x(f) = -f**2 + 3*f - 2. Suppose -5*n = -4*n - 5. Let i(t) = n*x(t) + 2*l(t). Solve i(k) = 0.
1, 2
Let a = 926/5 - 185. Let z(q) be the first derivative of -a*q**2 + 0*q - 2/15*q**3 + 5. Factor z(y).
-2*y*(y + 1)/5
Let u(r) be the second derivative of r**5/30 + r**4/9 + 36*r + 3. Determine p, given that u(p) = 0.
-2, 0
Let f(s) be the second derivative of s**6/120 - s**5/20 + 2*s**3/3 + 8*s**2 + 10*s. Let u(h) be the first derivative of f(h). Let u(p) = 0. What is p?
-1, 2
Let o(l) = 3*l**2 - 7*l. Let v(i) = -i. Let b = -13 - -11. Let d(x) = b*v(x) - o(x). Factor d(t).
-3*t*(t - 3)
Factor 2/3*o**2 + 0 - 26/3*o.
2*o*(o - 13)/3
Let n be (-2 - 5/(-4))*(-16)/6. Factor -4*f - 8 - 2*f**n - 11*f + 5*f.
-2*(f + 1)*(f + 4)
Solve 2/25*q**3 - 66/25*q**2 + 576/25*q - 512/25 = 0 for q.
1, 16
Let s be (-5)/20 - (-36)/16. Suppose h**s - 3*h**2 - 23*h + 50*h - 31*h = 0. What is h?
-2, 0
What is c in -22/5*c - 4 - 2/5*c**2 = 0?
-10, -1
Let h(r) be the second derivative of r**4/42 + 20*r**3/63 - r**2/3 + 98*r. Find x such that h(x) = 0.
-7, 1/3
Let n(a) = -8*a**3 + 3*a**2 - 3*a + 7. Let r(k) = -7*k**3 + 3*k**2 - 3*k + 6. Let s(g) = 6*n(g) - 7*r(g). Let x be s(2). What is o in 0 - 2/3*o - 2/3*o**x = 0?
-1, 0
Let l(s) be the second derivative of 0*s**3 + 0 + 0*s**2 - 1/80*s**5 + 0*s**4 + 14*s. Factor l(w).
-w**3/4
Suppose -1/2*s**2 - 7*s + 0 = 0. What is s?
-14, 0
Factor 4/3 - 7/6*w - 1/6*w**2.
-(w - 1)*(w + 8)/6
Let y(m) be the second derivative of 2/9*m**2 + 28*m + 0 - 1/9*m**3 + 1/54*m**4. Factor y(o).
2*(o - 2)*(o - 1)/9
Let h(r) be the first derivative of 0*r - 3 - 5/2*r**2 + 0*r**3 + 1/35*r**5 - 3/56*r**4. Let f(w) be the second derivative of h(w). Factor f(z).
3*z*(4*z - 3)/7
Let a be (2 - 2)/1 + 1100/825. Factor -2/3*o**2 - a - 2*o.
-2*(o + 1)*(o + 2)/3
Let a = 28 + -26. Let o be (-3)/((-81)/(-6)) - 308/(-495). Factor 2/15*x**3 + o*x**a - 8/15 + 0*x.
2*(x - 1)*(x + 2)**2/15
Let c(j) be the first derivative of -j**4/8 - 2*j**3/3 - j**2/4 + 3*j + 21. What is r in c(r) = 0?
-3, -2, 1
Let j be 2/(-13) + 369/117. Let l(d) = 1. Let x(s) = s**2 + 2*s - 1. Let i(g) = j*x(g) - 6*l(g). Factor i(b).
3*(b - 1)*(b + 3)
Let q(a) = 56*a**4 - 2*a**3 - 32*a**4 + 4*a**2 - 5*a - 31*a**4 - 5. Let c(v) = -v**4 - v - 1. Let r(z) = 5*c(z) - q(z). Suppose r(f) = 0. Calculate f.
-2, 0, 1
Let p(h) be the first derivative of -h**3/6 + 51*h**2/2 - 2601*h/2 - 34. Suppose p(q) = 0. What is q?
51
Let a(w) be the third derivative of w**5/12 - 25*w**4/6 - 35*w**3/2 - 9*w**2 + 6*w. Factor a(n).
5*(n - 21)*(n + 1)
Suppose 0 = 16*v - 11*v - 15. Suppose -2*y = -v*c - 0*c, 2*y = 2*c + 2. Factor 3*z + 8*z**3 - y*z + 10*z**5 + 24*z**4 + 0*z**4.
2*z**3*(z + 2)*(5*z + 2)
Factor 4/3*t**2 + 320/3*t + 6400/3.
4*(t + 40)**2/3
Let s = -3847/21 - -183. Let o = s + 6/7. Determine p so that 0*p + 4/3*p**5 + 0 + 2*p**4 + 0*p**3 - o*p**2 = 0.
-1, 0, 1/2
Let f(g) be the first derivative of 100/3*g**3 + 28/5*g**5 + 16*g - 2/3*g**6 - 19*g**4 - 35 - 32*g**2. Factor f(y).
-4*(y - 2)**2*(y - 1)**3
Let i(z) = z**2 + z + 1. Let w(k) = 21*k - 13 - k - 12 - 10*k**2. Let g(u) = 5*i(u) + w(u). Factor g(p).
-5*(p - 4)*(p - 1)
Let x(k) = 2*k**2 - 2. Let c(h) = h**2 - 1. Let z(l) = 5*c(l) - 3*x(l). Let r(a) = -3*a**2 + 4*a + 4. Let i(q) = -3*r(q) + 12*z(q). What is g in i(g) = 0?
-4, 0
Let z = -1207/60 + 313/15. Factor -1/2*j - 1/4 + z*j**2.
(j - 1)*(3*j + 1)/4
Let k(z) be the third derivative of z**8/112 + z**7/7 + 5*z**6/8 - 68*z**2. Solve k(s) = 0.
-5, 0
Let z = 192 - 183. Let b(g) be the first derivative of 3/2*g**2 - 1/20*g**5 - 13/12*g**3 - g + 3/8*g**4 + z. Factor b(j).
-(j - 2)**2*(j - 1)**2/4
Factor -4/9*c**3 - 272/9*c + 80/9*c**2 + 256/9.
-4*(c - 16)*(c - 2)**2/9
Let w be 96/4