. What is j in -3/8*j**4 - 1/8*j**2 + i*j - 1/8*j**5 - 3/8*j**3 + 0 = 0?
-1, 0
What is u in 44/13 - 2*u + 2/13*u**2 = 0?
2, 11
Let f(x) be the third derivative of -1/150*x**5 + 0*x + 1/525*x**7 - 7*x**2 + 1/1680*x**8 + 0*x**3 + 0 - 1/600*x**6 + 0*x**4. Let f(c) = 0. Calculate c.
-2, -1, 0, 1
Let l = -8994/5 + 62998/35. Let 0*m + 0 - l*m**4 + 2/7*m**5 - 4/7*m**2 + 10/7*m**3 = 0. Calculate m.
0, 1, 2
Let z be (-6)/(3 + -1) + (-20)/(-4). Let 4*a**2 + 5*a**4 + 14*a**2 - 23*a**z = 0. What is a?
-1, 0, 1
Suppose 11*c - 6 = 9*c. Let y be (6/(-18))/(c/(-27)). What is l in -6/7*l + 2/7 - 2/7*l**y + 6/7*l**2 = 0?
1
Let t(o) be the third derivative of -o**4/6 - 37*o**3/3 + 2*o**2 + 20*o. Let g be t(-19). Factor -1/3*a**4 + 0 + 0*a**3 + 1/3*a**g + 1/6*a**5 - 1/6*a.
a*(a - 1)**3*(a + 1)/6
Let t(g) = -3*g**2 + 10*g + 6. Let p be t(5). Let y(o) = -2*o - 36. Let u be y(p). Factor 7/6*a**u - 1 + 19/6*a.
(a + 3)*(7*a - 2)/6
Let p(s) be the second derivative of 1/3*s**3 + 0*s**2 + 0 + 16*s + 1/30*s**5 + 13/36*s**4. Find d, given that p(d) = 0.
-6, -1/2, 0
Let t(a) be the third derivative of a**5/330 - 59*a**4/33 + 13924*a**3/33 - 152*a**2. Factor t(u).
2*(u - 118)**2/11
Let v(y) be the third derivative of -5/6*y**5 + 0 - 3*y**2 + 0*y - 2*y**3 + 25/12*y**4. Find x such that v(x) = 0.
2/5, 3/5
Let z(h) be the first derivative of h**6/120 - h**5/80 + h - 10. Let a(q) be the first derivative of z(q). What is m in a(m) = 0?
0, 1
Suppose -2/3*z - 2/3*z**2 + 2/3 + 2/3*z**3 = 0. Calculate z.
-1, 1
Let y(a) = -2*a**4 + 10*a**3 + 33*a**2 + 46*a + 13. Let i(f) = -f**4 + 2*f - 1. Let d(l) = 3*i(l) - y(l). Factor d(c).
-(c + 1)**2*(c + 4)**2
Suppose 5*v + 610 = -5*l, 38 = -2*v - 4*l - 198. Let x be (-8)/(-5)*(-21)/v. Factor -2/15*i**2 + x - 2/15*i.
-2*(i - 1)*(i + 2)/15
Let b(o) be the second derivative of o**7/126 + 8*o**6/45 + 7*o**5/5 + 4*o**4 - 11*o + 1. What is l in b(l) = 0?
-6, -4, 0
Suppose -123*s - 44 = -134*s. Let g(t) be the second derivative of s*t + 1/4*t**2 - 1/48*t**4 + 0 - 1/24*t**3. Factor g(m).
-(m - 1)*(m + 2)/4
Let w be (-73)/(-146) + (-76)/(-40). Let m be (-127)/(-15) - (-1)/3. Factor w*f**2 - m*f - 16/5.
4*(f - 4)*(3*f + 1)/5
Factor -104*g + 8*g - 3*g**2 + 3*g**4 + 3*g**2 - 12*g**3 + 30*g**3.
3*g*(g - 2)*(g + 4)**2
Let m(v) be the first derivative of 0*v + 0*v**2 + 5/36*v**4 + 2/27*v**3 + 6 + 1/15*v**5. Find g such that m(g) = 0.
-1, -2/3, 0
Let v = -71 - -38. Let r(h) = 13*h**2 - 19*h + 8. Let u(a) = 207*a**2 - 303*a + 129. Let c(x) = v*r(x) + 2*u(x). Solve c(p) = 0 for p.
2/5, 1
Let l(x) = 2*x**3 - 4*x**2 + 4*x - 3. Let d be l(2). Factor 0 - 1/3*g**3 + 0*g**2 + 1/6*g**d + 0*g + 1/6*g**4.
g**3*(g - 1)*(g + 2)/6
Let c(w) be the first derivative of -2*w**5/25 - w**4/5 + 8*w**3/3 - 24*w**2/5 - 379. Suppose c(n) = 0. What is n?
-6, 0, 2
Let q be ((-45)/((-945)/(-12)))/((-9)/105). Factor 22/3 + q*u - 2/3*u**2.
-2*(u - 11)*(u + 1)/3
Suppose 44*n - 47*n + 4*w = -10, -4*n - 2*w + 6 = 0. Factor -8/5*c**n - 2*c - 2/5*c**3 - 4/5.
-2*(c + 1)**2*(c + 2)/5
Suppose 8/7*i - 2/7*i**4 - 16/7*i**2 + 10/7*i**3 + 0 = 0. What is i?
0, 1, 2
Let a be 2/3 - 2/9. Let p = 10 - 10. Factor -a*c**2 + p + 0*c + 2*c**3 - 14/9*c**4.
-2*c**2*(c - 1)*(7*c - 2)/9
Factor 25 + 4*s + 14*s + 3*s**2 + 2.
3*(s + 3)**2
Let o(l) be the second derivative of 6*l - 1/75*l**6 + 0*l**2 + 0*l**3 + 1/30*l**4 + 0*l**5 + 0. Factor o(p).
-2*p**2*(p - 1)*(p + 1)/5
Let r(v) be the third derivative of 0 - 2/35*v**7 + 2/3*v**4 + 1/84*v**8 + 0*v**3 - 1/6*v**6 + 1/5*v**5 - 39*v**2 + 0*v. Factor r(s).
4*s*(s - 4)*(s - 1)*(s + 1)**2
Let r = 36/1175 + 17553/2350. Determine w, given that -25/2*w**3 + 0 - r*w + 5/2*w**4 + 35/2*w**2 = 0.
0, 1, 3
Let b(n) = -2*n**4 - 14*n**3 + 2*n**2 + 18*n - 4. Let y(k) = -2*k**4 - 13*k**3 + 2*k**2 + 19*k - 6. Let g(q) = 3*b(q) - 2*y(q). Suppose g(p) = 0. Calculate p.
-8, -1, 0, 1
Suppose -65 = -2*d - 65. Let b(u) be the second derivative of -1/2*u**3 + 1/14*u**7 + d*u**5 + 0*u**2 - 2*u + 1/5*u**6 - 1/2*u**4 + 0. What is x in b(x) = 0?
-1, 0, 1
Suppose 0 = -6*n + 24 + 6. Factor -n*v**5 + 4*v**3 - 26*v + 2*v**5 + v**5 + 24*v.
-2*v*(v - 1)**2*(v + 1)**2
Find y, given that -1585*y**2 - 3*y - 31*y - 32 + 4*y - 18*y + 1567*y**2 = 0.
-4/3
Let s = 6889 - 6889. Factor s + 0*z + 2/9*z**2.
2*z**2/9
Factor 375*r**3 - 888/5*r - 36/5 - 1065*r**2.
3*(r - 3)*(25*r + 2)**2/5
Factor -8 - 15*y**2 + 17*y**2 + 12 + 6*y.
2*(y + 1)*(y + 2)
Let t(x) be the second derivative of -x**6/210 - x**5/35 + 4*x**4/21 + 32*x**3/21 + 11*x + 24. Factor t(h).
-h*(h - 4)*(h + 4)**2/7
Let i be 75/24 - 3 - (-3011)/(-728). Let u = i - -67/13. Factor 18/7*v**3 - u - 16/7*v + 6/7*v**2.
2*(v - 1)*(3*v + 2)**2/7
Factor -p - 5/2*p**2 + 1/2*p**4 - 3/2*p**3 + 0 + 1/2*p**5.
p*(p - 2)*(p + 1)**3/2
Suppose 2*j + 5*p + 21 = 0, 5*j - p = 3*p + 30. Factor 5*x**3 + 11*x**2 + 20*x + 18*x**2 - 9*x**j + 0*x**3.
5*x*(x + 2)**2
Let z(u) = 5*u**3 + u**2 + 5*u - 22. Let a(q) = -q**3 - q + 4. Let h(n) = 44*a(n) + 8*z(n). Factor h(g).
-4*g*(g - 1)**2
Let k be ((-2)/(-6))/((-9)/81). Let a be (-3)/2*6/(-9). Let q(j) = 3. Let c(t) = -t**3 + t + 1. Let x(w) = a*q(w) + k*c(w). Factor x(b).
3*b*(b - 1)*(b + 1)
Solve -21/4*l**2 - 27/4*l**4 + 37/2*l + 12 - 1/4*l**5 - 73/4*l**3 = 0.
-24, -2, -1, 1
Let x(y) = -1 + 2*y**2 + 5*y - 4*y - 1 + y**3. Let k(m) = 5*m**3 + 9*m**2 + 3*m - 8. Let s(n) = 4*k(n) - 18*x(n). Determine o so that s(o) = 0.
-2, 1
Let l(w) be the third derivative of -2/7*w**3 + 0 - 11/84*w**5 - 18*w**2 + 0*w + 13/42*w**4. Solve l(n) = 0.
2/5, 6/11
Factor -2/9*d**2 + 0 + 4*d.
-2*d*(d - 18)/9
Let i(r) = r**2 + 19*r - 3. Let l(j) = 4*j**2 + 96*j - 14. Let m(p) = 28*i(p) - 6*l(p). Factor m(f).
4*f*(f - 11)
Let s(j) be the second derivative of -j**4 - 25*j**3/3 - 21*j**2 + 2*j + 114. Factor s(l).
-2*(l + 3)*(6*l + 7)
Factor -357 + 357 + 9*u + 3*u**2 + 15*u.
3*u*(u + 8)
Determine q so that -9/2*q**2 + 0 + 0*q + 1/2*q**3 = 0.
0, 9
Let s(u) be the first derivative of 29*u**4/2 - 26*u**3/3 + 2*u**2 + 5. Let x(z) = z**3 - z**2. Let l(k) = -s(k) - 6*x(k). Factor l(d).
-4*d*(4*d - 1)**2
Let z(q) be the third derivative of -q**5/100 - 3*q**4/8 - 140*q**2. Factor z(n).
-3*n*(n + 15)/5
Let d = -103/200 - -16/25. Let q(t) be the third derivative of -1/2*t**3 + 0 - t**2 - d*t**4 + 1/20*t**5 + 1/40*t**6 + 0*t. Factor q(j).
3*(j - 1)*(j + 1)**2
Let n(p) be the first derivative of -p**5/70 + p**4/14 - p**3/7 + p**2/7 - 12*p - 14. Let z(i) be the first derivative of n(i). Factor z(j).
-2*(j - 1)**3/7
Suppose -15 = -0*y - 5*y. Let q = 487 - 484. Factor 4*k**2 - 2*k**2 + y*k**3 - 4*k - k**q.
2*k*(k - 1)*(k + 2)
Let o be (-94)/(-120) - (-192)/(-256). Let s(b) be the second derivative of 0 + 11*b + 2/3*b**2 + o*b**5 + 0*b**4 - 1/3*b**3. Let s(l) = 0. What is l?
-2, 1
Let k be -4 - (6 + (-91)/7). Suppose 4*y - 20 = -4*z, 0 = -2*y + 3*y + k*z - 7. Find m, given that 0*m**2 + 3/2*m**y + 0 + 3*m**3 + 0*m = 0.
-2, 0
Let d = 39 - 60. Let b = d + 80. Suppose 3*j**3 + 14*j + 4*j**3 - 75*j**2 - 5*j**4 - 42*j**3 - b*j = 0. Calculate j.
-3, -1, 0
Let o(h) be the second derivative of -1/49*h**7 + 0 - 1/14*h**4 - 3/70*h**5 + 1/15*h**6 - h + 2/21*h**3 + 0*h**2. What is s in o(s) = 0?
-2/3, 0, 1
Let z be (39/130)/((-648)/(-10)). Let m(x) be the third derivative of 0 + 1/54*x**3 + 0*x - z*x**4 + 1/1080*x**6 - 1/540*x**5 - 6*x**2. Let m(u) = 0. What is u?
-1, 1
Let h(j) be the third derivative of j**8/112 - j**7/35 + j**5/10 - j**4/8 - j**2 - 15. Factor h(w).
3*w*(w - 1)**3*(w + 1)
Suppose -29 = -42*x + 55. Find q, given that -14/3*q**x + 38/3*q + 4 = 0.
-2/7, 3
Let d(r) be the first derivative of -3/4*r**4 - 3/20*r**5 + 0*r - 3/4*r**2 - 5/4*r**3 - 16. Let d(n) = 0. What is n?
-2, -1, 0
Let y(f) be the third derivative of 1/21*f**3 + 0*f + 0 - 1/420*f**5 - 1/168*f**4 + 3*f**2. Find p such that y(p) = 0.
-2, 1
Let t(w) = 4*w**2 + w. Let z be t(-1). Suppose l + c - 6 = -2, -l - z*c + 8 = 0. Factor 11 + 5*f**3 - 3*f - 5 - 2*f**3 - 6*f**l.
3*(f - 2)*(f - 1)*(f + 1)
What is x in -7*x**4 - 3*x**2 - 64*x + 0*x + 67*x**2 + 3*x**4 + 4*x**3 = 0?
-4, 0, 1, 4
Let y(l) = 12*l**3 - 30*l**2 - 32*l - 20. Let d(t) = t**3 - 3*t**2 + t + 2. Let i(v) = -20*d(v) + 2*y(v). Factor i(r).
4*(r - 5)*(r + 1)*(r + 4)
Let v(z) be the third derivative of -22*z**2 + 0*z + 0*z**4 + 0 + 0*z**3 + 1/340*z**6 - 