/3*g**3 - y*g. Suppose n(b) = 0. Calculate b.
-1, -2/5, 1
Let r(b) = -b + 9. Let t be r(28). Let h be (84/(-112))/(1 + t/8). Factor 0 + 2/11*d**2 + h*d.
2*d*(d + 3)/11
Suppose 0 = -6*w - 10*w + 80. Let o(b) be the first derivative of 3/20*b**4 + 3/5*b + w - 3/10*b**2 - 1/5*b**3. Factor o(k).
3*(k - 1)**2*(k + 1)/5
Let w(k) be the second derivative of -k**4/28 + 41*k**3/14 + 9*k**2 + 5*k - 19. Factor w(n).
-3*(n - 42)*(n + 1)/7
Let z = 2/225 + 148/225. Solve 0 + 1/3*h**3 + 1/3*h**2 - z*h = 0.
-2, 0, 1
Let z(k) be the first derivative of k**4/12 - 7*k**3/9 - 5*k**2/6 + 25*k - 271. Suppose z(l) = 0. What is l?
-3, 5
Let u(r) be the second derivative of r**6/75 - 3*r**5/50 + r**4/30 + r**3/5 - 2*r**2/5 + 2*r - 29. Factor u(l).
2*(l - 2)*(l - 1)**2*(l + 1)/5
Let j(s) be the first derivative of s**3/9 + 43*s**2/6 + 14*s + 143. Factor j(w).
(w + 1)*(w + 42)/3
Suppose -13*m + 22*m - 36 = 0. Let a(g) be the first derivative of 0*g + 0*g**2 + 3/20*g**m - 1/10*g**6 - 3/25*g**5 + 7 + 1/5*g**3. Solve a(x) = 0 for x.
-1, 0, 1
Let m(y) be the second derivative of -y**7/350 + y**6/600 + y**5/150 - 7*y**2/2 + 14*y. Let a(u) be the first derivative of m(u). Suppose a(d) = 0. What is d?
-2/3, 0, 1
Let k = -737 + 739. Suppose 6*t**3 + 3*t + 15/2*t**k + 3/2*t**4 + 0 = 0. What is t?
-2, -1, 0
Factor 15*h**2 + 90 + 278 - 66*h + 129 - 134 - 12*h**2.
3*(h - 11)**2
Let i = 89 - 87. Factor 3 - i*o - 13*o**3 - 3 + 17*o**3 - 2*o**5.
-2*o*(o - 1)**2*(o + 1)**2
Let c(a) = -594*a**2 + a + 1. Let v be c(-1). Let w = 4182/7 + v. Factor w*y**2 - 18/7*y - 10/7*y**3 + 4/7.
-2*(y - 1)**2*(5*y - 2)/7
Let z(h) be the first derivative of 0*h - 20 - 5/4*h**2 + 1/6*h**3. Factor z(c).
c*(c - 5)/2
Let y(v) be the third derivative of -v**5/240 - 5*v**4/96 - v**3/4 - 116*v**2. Let y(p) = 0. Calculate p.
-3, -2
Let p(d) be the third derivative of -5*d**8/336 - d**7/14 + d**6/24 + 7*d**5/12 - 10*d**3/3 - 87*d**2. Let p(m) = 0. Calculate m.
-2, -1, 1
Let v(i) = -11*i**3 - 38*i**2 - 91*i - 5. Let o(q) = -5*q**3 - 20*q**2 - 46*q - 2. Let d(b) = 5*o(b) - 2*v(b). Factor d(j).
-3*j*(j + 4)**2
Let h be (-4)/(-2) - (11 - (-3 + 12)). Factor h - 3/2*l**3 - l**2 + 0*l + 0*l**4 + 1/2*l**5.
l**2*(l - 2)*(l + 1)**2/2
Let j(w) be the first derivative of 3*w**5/5 - 3*w**4/4 - 2*w**3 - 45. What is i in j(i) = 0?
-1, 0, 2
Let s(m) be the third derivative of m**8/6720 - m**7/1260 + 3*m**4/8 - m**2. Let a(p) be the second derivative of s(p). Factor a(f).
f**2*(f - 2)
Suppose -10*f + 16*f = 11*f. Let i(x) be the second derivative of 8*x + 0*x**2 - 1/294*x**7 - 1/210*x**6 + 0 + 1/140*x**5 + 1/84*x**4 + f*x**3. Factor i(m).
-m**2*(m - 1)*(m + 1)**2/7
What is h in -3*h**2 - 47*h**5 + 63*h**2 + 27*h**4 + 144*h + 48 + 96*h**3 + 55*h**2 + 53*h**2 + 50*h**5 = 0?
-2, -1
Let n(o) be the second derivative of -3*o + 4/3*o**2 + 1/18*o**4 + 0 + 5/9*o**3. Let n(i) = 0. Calculate i.
-4, -1
Let k = 17/95 + 179/19. Let o(r) be the first derivative of -3/2*r**2 + 0*r + k*r**5 - 6*r**4 - 7*r**3 + 10. Find a such that o(a) = 0.
-1/4, 0, 1
Let h(w) = w**2 - w + 35. Let y be h(0). Let i be (-3 - y/(-5))/2. Find f such that 3*f**2 - 2*f**2 - 4*f - 3*f**i + 4*f**2 - 6 = 0.
-1, 3
Suppose -117*u = -107*u - 30. Let b be 2/9 + -11 + 11. Determine m, given that -2/9*m**4 + 0*m + 0*m**u + 0 + b*m**2 = 0.
-1, 0, 1
Let p(g) be the first derivative of -2*g**3/7 - 15*g**2/14 + 9*g/7 + 77. Find a such that p(a) = 0.
-3, 1/2
Factor 0 + 0*m**2 + 2/7*m**5 + 64/7*m**4 + 512/7*m**3 + 0*m.
2*m**3*(m + 16)**2/7
Let t(x) be the third derivative of -x**3 + 0*x + 0 + 1/60*x**5 - 1/24*x**4 + 5*x**2. Suppose t(m) = 0. Calculate m.
-2, 3
Suppose -17*a + 0*a + 82 = 24*a. Factor -40/9*j + 4*j**a - 2/9*j**4 + 14/9 - 8/9*j**3.
-2*(j - 1)**3*(j + 7)/9
Let a(o) be the first derivative of o**4/6 + 2*o**3 + 20*o**2/3 + 11. Suppose a(g) = 0. What is g?
-5, -4, 0
Let z(n) be the third derivative of 275*n**8/1512 + 47*n**7/63 - 374*n**6/135 + 194*n**5/135 + 16*n**4/9 - 64*n**3/27 + 10*n**2. Let z(y) = 0. What is y?
-4, -4/11, 2/5, 1
Let g(m) be the second derivative of 4*m + 0 + 1/3*m**4 + 2/3*m**3 + 0*m**2. Factor g(s).
4*s*(s + 1)
Let m(z) = -14*z**2 + z + 1. Let k be m(-1). Let v = 17 + k. Let 3*j**4 - j**4 + 0*j**3 + 2*j**v = 0. What is j?
-1, 0
Suppose 3*x = 3*i - 9, 2*i + 12 + 3 = -5*x. Let y be 9/27 - i/(-1). Factor 0 - y*g**3 - 1/9*g**4 + 4/9*g + 0*g**2.
-g*(g - 1)*(g + 2)**2/9
What is m in 2*m**2 + 10*m**2 + 40*m - 39*m**3 - 36 + 20*m**2 + 4*m**4 - 12*m**3 + 11*m**3 = 0?
-1, 1, 9
Let t(y) = -8*y**2 - 27*y - 20 - 18 - 26*y. Let p(f) = 3*f**2 + 18*f + 13. Let b(d) = 7*p(d) + 2*t(d). Factor b(q).
5*(q + 1)*(q + 3)
Factor 70/9 - 2/9*k**3 - 70/9*k**2 + 2/9*k.
-2*(k - 1)*(k + 1)*(k + 35)/9
Let i(d) = 11*d**3 - 16*d**2 + 20*d - 12. Let j(u) = 4*u**3 - 2*u**2 - u. Let l(f) = -i(f) + 3*j(f). Factor l(w).
(w - 1)**2*(w + 12)
Let j = -2870 + 43051/15. Let d(b) be the first derivative of j*b**3 + 2 - 3/10*b**2 + 2/5*b. Suppose d(r) = 0. Calculate r.
1, 2
Let z = -1613 + 11301/7. Factor -6/7*o + z*o**2 - 4/7.
2*(o - 1)*(5*o + 2)/7
Let i(r) be the first derivative of 2*r**4/7 + 2*r**3/3 - 11*r**2/7 - 453. What is u in i(u) = 0?
-11/4, 0, 1
Suppose 4*d - 1/5*d**3 + 24/5 + 2/5*d**2 = 0. What is d?
-2, 6
Let v be 8/(-12) - 94/(-6). Let l = v + -15. What is o in -2*o**4 + l*o**3 + 4*o - 4*o**3 + 2 + 0 = 0?
-1, 1
Let m(w) = -w**2 - 5*w. Let u be m(-4). Let l be (-32)/128 - 150/(-280). Factor 4/7*b**2 + 4/7*b**3 - 6/7*b + l*b**5 + 2/7 - 6/7*b**u.
2*(b - 1)**4*(b + 1)/7
Let u(d) be the third derivative of 0 + 0*d - 1/52*d**4 + 1/390*d**5 + 23*d**2 - 10/39*d**3. Suppose u(g) = 0. Calculate g.
-2, 5
Let t(m) be the third derivative of m**6/240 - 3*m**5/40 - 25*m**4/48 + 11*m**3/4 - 31*m**2 - 4*m. Determine p so that t(p) = 0.
-3, 1, 11
Factor 13*s - 20*s**3 - 27*s**2 + 17*s**3 - 21*s - 9*s**2 + 66 - 19*s.
-3*(s - 1)*(s + 2)*(s + 11)
Let -8/3*l**2 - 20/3*l + 4/3*l**3 + 8 = 0. Calculate l.
-2, 1, 3
Factor -6*m**4 + 66*m + 58*m + 4*m + 25*m**3 + 73*m**3 - 416*m**2.
-2*m*(m - 8)**2*(3*m - 1)
Let g(n) be the second derivative of -n**7/504 + n**6/72 - n**5/24 + 41*n**4/12 - 36*n. Let t(w) be the third derivative of g(w). Solve t(r) = 0.
1
Let z = -8 + 17. Factor 96*h**3 + 25*h - z*h + 48*h**4 + 6 + 9*h**5 + 90*h**2 + 11*h + 12*h.
3*(h + 1)**3*(h + 2)*(3*h + 1)
Let y = 9/439 - -1926269/3073. Let x = 628 - y. Factor -10/7*n + x*n**2 - 2/7*n**3 + 4/7.
-2*(n - 2)*(n - 1)**2/7
Let b(f) be the third derivative of 0 + 0*f**3 + 1/12*f**4 + 1/60*f**6 - 3*f**2 + 0*f - 1/15*f**5. Determine u, given that b(u) = 0.
0, 1
Let w(d) be the second derivative of 0*d**4 + 1/70*d**7 + 0*d**5 - 21*d + 0*d**3 + 0 + 0*d**2 + 1/50*d**6. Factor w(o).
3*o**4*(o + 1)/5
Suppose -1/3*a**3 - 23*a**2 - 12167/3 - 529*a = 0. What is a?
-23
Let f(s) = 6*s**3 - 135*s**2 + 258*s - 126. Let h(g) = 7*g**3 - 136*g**2 + 259*g - 126. Let m(i) = 4*f(i) - 3*h(i). Let m(y) = 0. What is y?
1, 42
Let z(t) = -2*t**3 + 3*t**2 - 7*t. Let x(j) = -3*j**3 + 3*j**2 - 8*j. Suppose 2*v = -127 + 119. Let p(o) = v*z(o) + 3*x(o). Find q such that p(q) = 0.
-4, 0, 1
Let s = 61/315 - -2/45. Let g(a) be the second derivative of -5*a - 3/7*a**2 - s*a**3 + 1/21*a**4 + 0. Let g(p) = 0. Calculate p.
-1/2, 3
Let p(r) be the second derivative of -r**4/66 + 19*r**3/33 + 20*r**2/11 - 45*r + 2. Factor p(c).
-2*(c - 20)*(c + 1)/11
Suppose -2*t + 7*t = 40. Let o = -6 + t. Suppose g**o - 2*g**4 - 4*g**3 + g**2 + 2*g + 2*g**3 = 0. What is g?
-1, 0, 1
Let p(g) be the first derivative of 4*g**5/5 - g**4/4 - 4*g**3 + 11*g**2/2 - 2*g + 69. Let p(a) = 0. What is a?
-2, 1/4, 1
Let v(u) be the third derivative of 6*u**2 + 1/18*u**4 + 0*u + 1/144*u**8 - 2/105*u**7 + 1/15*u**5 + 0 + 0*u**3 - 11/360*u**6. Solve v(j) = 0.
-1, -2/7, 0, 1, 2
Let d(l) = -4*l**3 - 8*l**2 + 10*l - 8. Let q(x) = -9*x**3 - 18*x**2 + 18*x - 16. Let j(n) = 5*d(n) - 2*q(n). Suppose j(a) = 0. What is a?
-4, 1
Let r = -10 + 12. Factor a**2 - r*a - 1 + 1 + 0.
a*(a - 2)
Let d be 6/(4 - (1 - 75/(-27))). Suppose 45 - 18 - 4*y**2 - d = 0. What is y?
0
Let v(h) be the third derivative of -h**5/80 - 3*h**4/16 + 2*h**3 - 276*h**2. Factor v(g).
-3*(g - 2)*(g + 8)/4
Let x(j) be the first derivative of j**3 - 3*j**2/2 - 4*j - 3. Let w be x(2). Suppose 1/4*b + 1/4*b**w - 1/2 = 0. Calculate b.
-2, 1
Let f(w) b