 l**4 + 7*l**3 + 105*l**2 + 225*l + 6. Let h(n) = 5*s(n) - 6*v(n). Solve h(j) = 0.
-3, 0, 5
Suppose -5*b + x + 14 = 1, 5*b - 2*x = 16. Let i = 47/10 - 16/5. Factor -3/2 + 3/2*a**b + 3/2*a - i*a**3.
-3*(a - 1)**2*(a + 1)/2
Suppose -4*y = 5*a - 119, -4*y + 43 = 3*a - 22. Determine w, given that -30*w**4 - 6 - 29*w + 15*w**3 + 9*w**4 + a*w**2 + 14*w = 0.
-1, -2/7, 1
Suppose 0 = -20*q - 17 + 77. Suppose -5*x = q*c - 15, 6*c + 3*x = c + 9. Factor 0 + 0*r**2 + 1/4*r**5 - 1/4*r**3 + 0*r + c*r**4.
r**3*(r - 1)*(r + 1)/4
Let z be 69/46*(-16)/(-6). Solve -z*g - 9*g + 7*g - 4*g**2 + 2*g**2 = 0 for g.
-3, 0
Suppose -2/3*x + 0 - 2/21*x**2 = 0. What is x?
-7, 0
Suppose -3*v - 2*v = 0. Suppose v = -4*z - 2 + 18. Find i, given that 6*i**3 + i**4 + 0*i**z - 4*i**4 - 3*i**2 = 0.
0, 1
Let j = -462 + 1863/4. Let u(h) be the first derivative of -j*h**4 - 2*h**3 + 15/2*h**2 + 5 + 6*h. Find s, given that u(s) = 0.
-1, -2/5, 1
Let g(b) be the third derivative of 1/175*b**7 - 1/75*b**6 + 1/30*b**4 + 0*b**3 - 1/150*b**5 + 0*b - 12*b**2 + 0. Factor g(n).
2*n*(n - 1)**2*(3*n + 2)/5
Suppose -3*n = -2*f - 16, 0 = -20*n + 23*n + 2*f + 4. Suppose 0*l + 6/13*l**3 + 0*l**n + 2/13*l**4 + 0 = 0. What is l?
-3, 0
Let h(l) be the first derivative of -l**6/60 - l**5/5 + 7*l**4/12 - 31*l**2/2 + 41. Let z(k) be the second derivative of h(k). Factor z(w).
-2*w*(w - 1)*(w + 7)
Let v be ((-2)/(-5) - 1)/(2/(-70)). Suppose v = 5*y + 11. Factor 2/7*u - 2/7*u**y + 4/7.
-2*(u - 2)*(u + 1)/7
Let g(u) = 5*u**2 - 9*u + 4. Let v(s) = -2*s**2 + 4*s - 2. Suppose -1 = 4*w - 13. Let p be (-2)/w + (-209)/33. Let q(h) = p*v(h) - 3*g(h). Factor q(o).
-(o - 1)*(o + 2)
Let f(t) = t**3 - 5*t**2 - 7*t + 13. Let c be f(6). Let h be (-30)/(-140) + 9/c + -1. What is y in h*y**2 - 1/2*y - 1/2 + 1/2*y**3 = 0?
-1, 1
Let o(q) be the first derivative of q**6/45 + 16*q**5/75 - q**4/3 - 16*q**3/45 + 3*q**2/5 - 112. Find t, given that o(t) = 0.
-9, -1, 0, 1
Let j be 15*(70/14 + (-98)/20). Factor 9 - 1/2*p**3 - 2*p**2 + j*p.
-(p - 2)*(p + 3)**2/2
Let u = 13 + -13. Suppose g - 3 + u = 0. Factor -6*i + 3*i - 4*i**g + 0*i + 7*i.
-4*i*(i - 1)*(i + 1)
Let q(t) = -2*t + 6. Let m be q(-10). Suppose 0 = -8*g + 22 + m. Factor 4*x - 2/3*x**2 - g.
-2*(x - 3)**2/3
Suppose 0 = 2*w + 6*w - 5*w. Let k(m) be the second derivative of 4/3*m**3 + m**4 + 0 - 6*m + w*m**2 + 1/5*m**5. Factor k(j).
4*j*(j + 1)*(j + 2)
Let d(t) be the second derivative of -t**7/105 - 11*t**6/25 - 219*t**5/50 + 173*t**4/6 - 312*t**3/5 + 324*t**2/5 - 91*t. Factor d(g).
-2*(g - 1)**3*(g + 18)**2/5
Let r(i) be the third derivative of i**8/168 - 2*i**6/15 - i**5/5 + 7*i**4/12 + 2*i**3 + 672*i**2. Let r(u) = 0. What is u?
-2, -1, 1, 3
Let c(l) be the third derivative of l**8/252 + 58*l**7/315 + 3*l**6 + 140*l**5/9 - 500*l**4/9 + 42*l**2. Let c(t) = 0. Calculate t.
-10, 0, 1
Let t(u) be the second derivative of -u**6/60 - u**5/40 + u**4/24 + u**3/12 - 49*u. Determine z, given that t(z) = 0.
-1, 0, 1
Let b be 24/(-2 + 0)*(-16)/((-2400)/(-135)). Suppose 27/5*v**4 - 78/5*v**3 + b*v**2 + 81/5*v - 81/5 - 3/5*v**5 = 0. Calculate v.
-1, 1, 3
Factor 104*q + 60*q**2 + 270*q**4 - 48*q**3 - 585*q**4 + 311*q**4.
-4*q*(q - 2)*(q + 1)*(q + 13)
Let k(j) be the first derivative of -21*j**5/5 - 15*j**4/4 + 13*j**3/7 - 3*j**2/14 + 424. Let k(o) = 0. What is o?
-1, 0, 1/7
Let j(b) = b**2 - b - 1. Let v(x) = -5*x**3 - 2*x**2 - x - 2. Suppose 14*u - 2 = 16*u. Let m(y) = u*v(y) + 2*j(y). Factor m(k).
k*(k + 1)*(5*k - 1)
Let y(n) be the first derivative of -n**4/46 - 94*n**3/23 + 285*n**2/23 - 286*n/23 - 404. Factor y(u).
-2*(u - 1)**2*(u + 143)/23
Let h(k) = -k**3 - 2*k**2 + 3*k**3 + 0*k - 1 + k. Let t(u) = 1519*u - 2*u**2 + 2*u**3 - 1519*u. Let q(s) = 2*h(s) - 3*t(s). Factor q(w).
-2*(w - 1)**2*(w + 1)
Let l(i) be the first derivative of -i**5/70 + i**4/21 + i**3/21 - 2*i**2/7 + 5*i - 6. Let n(m) be the first derivative of l(m). Factor n(r).
-2*(r - 2)*(r - 1)*(r + 1)/7
Let x(c) be the first derivative of -15/2*c**2 + 3*c**3 + 6*c + 3/4*c**4 - 3/5*c**5 + 5. Factor x(j).
-3*(j - 1)**3*(j + 2)
Let m = 697/1059 + 3/353. Factor 0 + m*b**4 + 0*b + 8/3*b**2 - 8/3*b**3.
2*b**2*(b - 2)**2/3
Let r(x) be the first derivative of -5/6*x + 7/24*x**2 + 29 - 1/36*x**3. Let r(a) = 0. Calculate a.
2, 5
Let y(u) = -13*u + 390. Let s be y(30). Let i(j) be the first derivative of -2/9*j**3 + s*j + 6 + 1/2*j**2 - 1/12*j**4. What is b in i(b) = 0?
-3, 0, 1
Let z = -10808 + 10810. Determine q so that -3/4*q - 3/2*q**4 + 0 + 3/2*q**z + 3/4*q**3 = 0.
-1, 0, 1/2, 1
Let w be 0 + -8 - (-19872)/(-5175)*(-5)/2. Factor -42/5*l**2 - w - 18/5*l**3 - 32/5*l.
-2*(l + 1)*(3*l + 2)**2/5
Let u be (4 - 66/18)*(17 - -1). Suppose -5*w + 15 = 4*n - 0*n, 5*n - 2*w = -u. Factor -1/5*d + 4/5*d**4 + 2/5*d**2 + 7/5*d**3 + n.
d*(d + 1)**2*(4*d - 1)/5
Suppose -3*l + 7*p = 9*p - 10, 0 = 5*l + 4*p - 18. Determine c so that 15/2*c**4 - 45*c**l - 27*c - 3/4*c**5 + 0 - 39/4*c**3 = 0.
-1, 0, 6
Factor 1/4*i**2 + 1/2*i + 1/4.
(i + 1)**2/4
Let y(j) be the second derivative of 3/16*j**4 + 1/8*j**3 + 0 - 3/80*j**5 - 12*j - 9/8*j**2. Factor y(k).
-3*(k - 3)*(k - 1)*(k + 1)/4
Let s(h) be the third derivative of -h**6/90 + 2*h**5/9 - 23*h**4/18 + 28*h**3/9 - 30*h**2. Factor s(i).
-4*(i - 7)*(i - 2)*(i - 1)/3
Suppose 0 = j - 5*j + 16. Factor -6*d**3 + 9*d**3 - 20*d**2 - 7*d**3 + j*d + 20*d**4.
4*d*(d - 1)*(d + 1)*(5*d - 1)
Let n(c) be the second derivative of c**8/1260 - c**7/315 + c**5/45 - c**4/18 + c**3/2 + 2*c. Let y(m) be the second derivative of n(m). Factor y(p).
4*(p - 1)**3*(p + 1)/3
Let a be 0 - (-24)/(-60) - 32/(-30). Let -2/3*h + a*h**3 + 2/3*h**2 - 2/3 = 0. What is h?
-1, 1
Suppose 74*m = -95*m + 338. What is j in 3/7*j + 1/7*j**m + 0 = 0?
-3, 0
Suppose -5*h - 4*f + 48 + 0 = 0, 5*f + 15 = 0. Let b be 7/(-11) + 0 - (11 - h). Factor -2/11*y**2 + b*y - 2/11.
-2*(y - 1)**2/11
Let n(u) = 2*u**3 + 98*u**2 - 768*u + 1152. Let o(b) = b**3 + 99*b**2 - 768*b + 1152. Let y(m) = 5*n(m) - 6*o(m). Factor y(v).
4*(v - 12)**2*(v - 2)
Let k be -7 + (-343)/(-28) - (-2)/(-8). Suppose -8 = -2*u + k*z, 0 = -5*u + z + z + 20. Solve 0*l**2 + 0*l - 1/3*l**5 + 0 + 0*l**u + 1/3*l**3 = 0 for l.
-1, 0, 1
Let i(x) be the third derivative of -x**8/112 - 9*x**7/35 + x**6/40 + 9*x**5/10 + x**2 + 26*x. Determine l so that i(l) = 0.
-18, -1, 0, 1
Let x(l) be the first derivative of -l**8/2016 + l**7/630 - l**5/180 + l**4/144 + 14*l**2 + 15. Let v(k) be the second derivative of x(k). Factor v(c).
-c*(c - 1)**3*(c + 1)/6
Let l be (-6)/(-1)*1/3. Let h(m) = -5*m**2 - 33*m - 14. Let y be h(-6). Suppose 3*c**3 + 2 - 4 - 3*c**y + l = 0. What is c?
0, 1
Let x(i) be the second derivative of -i**7/2520 + i**5/30 - 8*i**4/3 - 12*i. Let j(g) be the third derivative of x(g). Find b such that j(b) = 0.
-2, 2
Let f(r) = r**3 - r**2 - r + 1. Let z(l) = -27*l - 5*l**2 - 9 - 5*l**2 - 5*l**2 + 8*l**3 + 7*l**3. Let d(a) = -f(a) - z(a). Factor d(y).
-4*(y - 2)*(2*y + 1)**2
Let v(n) be the third derivative of n**5/120 + 3*n**4/8 - 19*n**3/12 + 146*n**2 - n. Factor v(j).
(j - 1)*(j + 19)/2
Let z be (4/12 + -1)/((-14)/60). Factor -66/7*v**2 + z*v**3 - 2/7*v**4 - 32/7 + 80/7*v.
-2*(v - 4)**2*(v - 1)**2/7
Let c = 114 - 110. Let v(z) be the third derivative of 1/90*z**5 + 0 + 2/9*z**3 + 0*z + 1/12*z**4 + c*z**2. Find f, given that v(f) = 0.
-2, -1
Factor -16/9 - 14/9*h**2 + 2/9*h**3 + 28/9*h.
2*(h - 4)*(h - 2)*(h - 1)/9
Factor -4/7*k**2 - 144/7 - 2/7*k**3 + 78/7*k.
-2*(k - 3)**2*(k + 8)/7
Let r(j) be the second derivative of -j**4/6 + 37*j**3/24 + 15*j**2/8 + 25*j + 2. Suppose r(s) = 0. What is s?
-3/8, 5
Let k(w) be the third derivative of w**5/20 + 45*w**4/4 + 2025*w**3/2 - 7*w**2. Factor k(d).
3*(d + 45)**2
Let d be (-12)/(-5) - ((-6846)/210 + 33). Find o such that 10*o**d + 8 + 3*o**3 + 44/3*o + 1/3*o**4 = 0.
-3, -2
Let j be (-13)/((-637)/21) - 3974/28. Let n = j - -4249/30. Factor 2/3*b + 2/15*b**2 + 2/5 - n*b**3.
-2*(b - 3)*(b + 1)**2/15
What is g in -13*g**4 - 226*g**3 + 1448*g**5 + 588*g - 322*g**2 - 1450*g**5 - 25*g**4 = 0?
-7, -6, 0, 1
Let a(c) = 405*c**2 + 198*c + 30. Let w(g) = 9*g**2 - g - 1. Let b(n) = a(n) - 18*w(n). Factor b(x).
3*(9*x + 4)**2
Let o(m) be the first derivative of -14*m**6/3 - 24*m**5 - 43*m**4 - 32*m**3 - 8*m**2 + 40. Solve o(d) = 0 for d.
-2, -1, -2/7, 0
Let