q + 48 - 38 = 0. Suppose -3*j - 4 = -5*j. Solve 0*a**2 - a**q + a**2 + 2*a**3 + 2*a + 4*a**j = 0.
-1, 0
Let l(i) = -i**5 - i**4 - i**2 + i. Let p(f) = 10*f**5 + 104*f**4 - 38*f**3 - 64*f**2 - 4*f. Let v(m) = 4*l(m) + p(m). What is u in v(u) = 0?
-17, -2/3, 0, 1
Let l(w) = w**3 + 2*w. Let t(g) = -43*g**3 + 154*g**2 - 3*g - 18. Let y(u) = -6*l(u) + t(u). Factor y(x).
-(x - 3)*(7*x - 3)*(7*x + 2)
Let p be 1 - -4 - (-40)/(96/(-12)). Let x(w) be the third derivative of p*w + 0*w**3 - 1/24*w**4 + 1/120*w**5 + 4*w**2 + 0. Factor x(j).
j*(j - 2)/2
Let u(h) be the second derivative of -1/96*h**4 + 7/48*h**3 + 0 - 3/8*h**2 - 27*h. Factor u(d).
-(d - 6)*(d - 1)/8
Let d = 12/1729 + 38002/5187. Suppose -4/3*l - 6*l**3 + 0 - d*l**2 = 0. Calculate l.
-1, -2/9, 0
Factor -14*m**3 + 2*m**2 + 3*m - 2 + 13*m**3 - 2*m.
-(m - 2)*(m - 1)*(m + 1)
Factor 5*j**3 - 5*j - 5*j - 8*j + 14*j - 8*j - 28*j**2.
j*(j - 6)*(5*j + 2)
Let q(n) be the first derivative of -n**5/230 + n**4/23 + 3*n - 19. Let b(x) be the first derivative of q(x). Determine l so that b(l) = 0.
0, 6
Suppose 2*b = -2*y + 16, -1469*y + 1470*y = 4*b - 22. Let k(o) = o**3 - 4*o**2 - 4*o - 2. Let n be k(5). Factor s**y - 1/5*s**n - 8/5*s + 4/5.
-(s - 2)**2*(s - 1)/5
Let i(j) = -j**3 - 2*j**2 + 67*j + 134. Let y be i(-2). Let o = 0 + 0. Factor 0*k**2 + o - 1/3*k**3 - 1/3*k**4 + y*k.
-k**3*(k + 1)/3
Let v(h) be the third derivative of h**6/1020 - h**5/85 - 5*h**4/68 - 8*h**3/51 - 39*h**2 + 2*h. Factor v(d).
2*(d - 8)*(d + 1)**2/17
Let n(t) = 2*t + 25. Let l be n(-15). Let j be 1/9*(7 + l). Factor j + 2/9*x**4 + 8/9*x**3 + 4/3*x**2 + 8/9*x.
2*(x + 1)**4/9
Let h(m) = 10*m**3 - 43*m**2 + 63*m - 37. Let b(c) = 5*c**3 - 21*c**2 + 31*c - 19. Let j = -8 + 1. Let d(g) = j*b(g) + 4*h(g). Factor d(o).
5*(o - 3)*(o - 1)**2
Let f be (-17)/(-85) - (-58)/10. Let 12*m + f + 3*m**2 + 2*m**2 + 6 - 2*m**2 = 0. Calculate m.
-2
Let z be 9*-5*(-8)/240. Factor z*t**2 + 9/2*t + 3.
3*(t + 1)*(t + 2)/2
Suppose 0 = u + 7*u - 5*u. Suppose t - 28 = 5*h, -3*t - 2*h + u = 1. Let 0 + 2/5*d + 2/5*d**t + 4/5*d**2 = 0. Calculate d.
-1, 0
Factor -71/6*x - 1/2*x**2 - 23/3.
-(x + 23)*(3*x + 2)/6
Let z = 69 + -47. Let m(v) = -23*v**4 - 10*v**3 + 9*v**2 - 11*v - 11. Let l(g) = -g**4 + g**2 - g - 1. Let y(b) = z*l(b) - 2*m(b). Determine n so that y(n) = 0.
-1/2, -1/3, 0
Let 15*z**3 - 6*z**3 - 21*z**3 + z**4 - 6*z - 4*z**4 - 15*z**2 = 0. What is z?
-2, -1, 0
Let g(z) = -2*z**3 - 2*z**2 + 6*z + 8. Let a be g(-2). Let m(v) be the first derivative of 2/5*v**5 + 0*v**3 + 0*v**2 + 0*v**a + 3 + 0*v. Factor m(t).
2*t**4
Let 33*s**2 + 12*s + 23*s + s + 12 - 53*s**3 + 62*s**3 = 0. What is s?
-2, -1, -2/3
Suppose 72*r + 539 = 265*r - 233. Factor -4/5*o**r + 0 + 16/5*o - 4/5*o**5 + 36/5*o**3 - 44/5*o**2.
-4*o*(o - 1)**3*(o + 4)/5
Let o(u) be the third derivative of 0*u + 46*u**2 - 1/240*u**5 - 1/3*u**3 + 0 - 3/32*u**4. Solve o(i) = 0.
-8, -1
Let k be 30/120*(-12)/(-18). Factor k*d**3 + 0 - 1/6*d - 1/6*d**2 + 1/6*d**4.
d*(d - 1)*(d + 1)**2/6
Let q(z) be the first derivative of 2*z**3 + 0*z**2 + 1/300*z**5 - 1/1800*z**6 + 1/40*z**4 - 6 + 0*z. Let t(j) be the third derivative of q(j). Factor t(x).
-(x - 3)*(x + 1)/5
Let b(c) be the second derivative of c**7/147 - 29*c**6/105 + 16*c**5/5 - 14*c**4/3 + 4*c + 2. Solve b(d) = 0.
0, 1, 14
Let 205/4*r**3 + 4043/4*r - 507/2 - 1787/4*r**2 - 7/4*r**4 = 0. Calculate r.
2/7, 3, 13
Let y(r) be the second derivative of 33/40*r**5 + 0*r**2 - 1/8*r**7 + 1/2*r**4 - 23/40*r**6 - 2*r - 1 + 0*r**3. Solve y(m) = 0 for m.
-4, -2/7, 0, 1
What is q in -477 - 890*q**3 + 1351*q - 9 - 6*q**5 - 14 - 4*q**5 - 195*q**4 - 451*q + 695*q**2 = 0?
-10, -1, 1/2, 1
Suppose -9 = 8*o - 11*o. Let d - 63*d**2 + o*d + 67*d**2 = 0. What is d?
-1, 0
Suppose 0 = -3*b - 4*k + 5*k + 100, 0 = b - 3*k - 20. Find r such that 35*r + 5*r**2 - b*r + r**3 = 0.
-5, 0
Suppose 4*k - 2*k**5 + 277/9*k**3 - 176/9*k**2 - 43/3*k**4 + 0 = 0. Calculate k.
-9, 0, 1/2, 2/3
Let j(u) be the third derivative of 2*u**7/35 + 43*u**6/30 + 137*u**5/15 - 127*u**4/6 - 112*u**3/3 + 868*u**2. Solve j(q) = 0.
-8, -7, -1/3, 1
Let l = 115855/45052 - 1/6436. Solve -2/7*y**4 - l - 16/7*y**3 - 48/7*y - 44/7*y**2 = 0.
-3, -1
Let x(q) be the third derivative of q**7/105 + q**6/40 - 2*q**5/15 + q**4/8 + 12*q**2 + q. Suppose x(o) = 0. What is o?
-3, 0, 1/2, 1
Let t be 4/((2/4)/(5/20)). Let n(r) = -r + 8. Let k be n(6). Factor -f + f**k + 2*f**t + 6*f - 2*f.
3*f*(f + 1)
Let j = 3 + -1. Suppose -j*c = -6*c - 3*w + 13, -4*c = -4*w - 20. Factor -12*n**2 + n**c - 16*n**4 + 3*n**4 - 18*n**3 - 6*n**5 - 3*n + 3*n**5.
-3*n*(n + 1)**4
Let f(j) be the first derivative of 0*j**2 - 1/27*j**3 + 10*j - 1/108*j**4 + 6. Let c(q) be the first derivative of f(q). Find t such that c(t) = 0.
-2, 0
Factor -30*w**2 - 4*w**4 - 812*w**3 + 857*w**3 + 4*w**4 - 5*w**4 - 280*w.
-5*w*(w - 7)*(w - 4)*(w + 2)
Let r(h) = -2 - h**2 - 2 - 7*h + 0*h. Let o be r(-6). Factor -2*x**3 - 2*x**o + 14 - 14.
-2*x**2*(x + 1)
Let d = 16 + -10. Let i(f) = f**2 - 6*f + 2. Let m be i(d). Suppose 0*z**4 - z**3 - z**4 - 3*z**5 + z**m + 0*z**3 + 4*z**5 = 0. What is z?
-1, 0, 1
Let s(w) be the third derivative of -1/25*w**5 + 4*w**2 - 1/200*w**6 + 0 - 1/5*w**3 - 1/8*w**4 + 0*w. Solve s(o) = 0 for o.
-2, -1
Let n(d) be the first derivative of 0*d**2 - 1/3*d**3 - 7 + 7*d + 1/10*d**5 - 1/6*d**4 + 1/15*d**6. Let k(v) be the first derivative of n(v). Factor k(q).
2*q*(q - 1)*(q + 1)**2
Suppose -10 + 2 = -4*v. Suppose -v = -o, 5*o + 0*o = -2*b + 26. Let 8*z**2 - 21*z**2 + 15*z + b*z**2 = 0. What is z?
0, 3
Let t = -516/91 + 70/13. Let j = t + 3/7. Factor 2/7*q - j*q**2 - 1/7.
-(q - 1)**2/7
Let y(j) = 2*j**3 + 18*j**2 - 33*j + 41. Let s(o) = -o**3 - 19*o**2 + 34*o - 38. Let g(z) = 7*s(z) + 6*y(z). Factor g(c).
5*(c - 2)**2*(c - 1)
Suppose 998 = -4*x + 1018. Suppose 4*u + 4 - 16 = -3*i, -u = 0. Determine f so that 8*f**4 - 5*f - 8*f**2 - 3*f**4 + 5*f**5 + x*f**i - 2*f**2 = 0.
-1, 0, 1
Let q(k) be the first derivative of -25*k**6/48 - 7*k**5/4 - 69*k**4/32 - 7*k**3/6 - k**2/4 - 106. Solve q(j) = 0 for j.
-1, -2/5, 0
Let a(w) be the first derivative of -5/3*w**2 - 50/9*w + 1 - 1/18*w**4 + 2/3*w**3. Suppose a(z) = 0. What is z?
-1, 5
Let o(u) be the third derivative of -u**7/280 - u**6/120 + u**5/20 - u**3/2 + 9*u**2. Let x(f) be the first derivative of o(f). Factor x(w).
-3*w*(w - 1)*(w + 2)
Suppose 2*h - 20 = 2*g - 6*g, 2*h + 3*g - 18 = 0. Suppose -d + h = -2. Determine t so that -t + t**2 + 8*t**2 - 2 - d*t**2 = 0.
-1, 2
Suppose 0 = a + p - 7 + 1, -4*p = 12. Let o be ((-60)/a + 6)/((-2)/81). Factor 0 - 12/5*l - 84/5*l**2 - o*l**3.
-3*l*(5*l + 2)*(9*l + 2)/5
Let u be (((-952)/(-35))/(-4))/((-1)/5). Solve u + 18 + 4*t**3 + 44 - 16*t**2 - 24 - 12*t = 0 for t.
-2, 3
Let j(b) be the first derivative of -3*b**5/20 + b**4/2 - b**3/2 + 6*b - 7. Let q(u) be the first derivative of j(u). Find o, given that q(o) = 0.
0, 1
Let v(x) be the third derivative of -1/21*x**4 - 1/84*x**5 - 3*x**2 + 0*x + 0 + 2/21*x**3. Factor v(k).
-(k + 2)*(5*k - 2)/7
Let t(l) be the third derivative of l**5/120 - 9*l**4/32 + 13*l**3/24 - l**2 + 5. Factor t(n).
(n - 13)*(2*n - 1)/4
Let k(z) be the third derivative of z**5/300 - 19*z**4/60 + 37*z**3/30 - 95*z**2. What is o in k(o) = 0?
1, 37
Let s = -2123/171 + 238/19. Let v(q) be the second derivative of 0*q**2 - s*q**4 + 2/45*q**6 + 0 - 3*q - 1/15*q**5 + 2/9*q**3. Factor v(t).
4*t*(t - 1)**2*(t + 1)/3
Suppose 3*u - 1 - 20 = -3*d, 25 = 3*u + 4*d. Let v be (-1 - -1)/(6/(6 - u)). Find c such that 1/5*c**5 - 2/5*c**4 + 2/5*c**2 + 0 + v*c - 1/5*c**3 = 0.
-1, 0, 1, 2
Let s(u) be the first derivative of -19 - 8/9*u + 2/27*u**3 - 1/3*u**2. Find y such that s(y) = 0.
-1, 4
Suppose 2*y - 2 = 2*c, -y - 1 + 5 = 0. Let s(t) be the first derivative of -1/3*t**c - 5 + 1/5*t**2 + 2/25*t**5 + 0*t + 1/20*t**4. Factor s(j).
j*(j - 1)*(j + 2)*(2*j - 1)/5
Let k be 8/(-92) - 7704/(-2898). Let z(n) be the first derivative of -9 + 6/7*n**2 + 2/21*n**3 + k*n. Factor z(h).
2*(h + 3)**2/7
Let z(x) = x**2 - 31*x - 264. Let m be z(-7). Let b = -43/3 + 218/15. Suppose 1/5*r - 1/5*r**3 + b*r**m - 1/5 = 0. Calculate r.
-1, 1
Find q, given that 992/17*q - 32/17 - 10626/17*q**4 - 16112/17*q**3 - 2178/17*q**5 - 6640/17*q**2 = 0.
-2, -1, 2/33
Suppose 0 = -2*s + 7*s - 780.