 is r in g(r) = 0?
0, 2
Let s(l) be the second derivative of l**4/6 - 164*l**3/3 + 6724*l**2 - 103*l. Find n such that s(n) = 0.
82
Let t = 214 + -207. Suppose -7 + t = 3*u. Solve 0*n + 1/2*n**5 - 1/2*n**3 + u + n**4 - n**2 = 0.
-2, -1, 0, 1
Solve -3/2*h + 9/4*h**2 - 6 = 0.
-4/3, 2
Let q(g) be the first derivative of 8 + 3*g**4 + 6*g**3 + 3/5*g**5 + 3*g + 6*g**2. Suppose q(l) = 0. What is l?
-1
Let n(a) be the first derivative of -a**4/12 + a**3/9 + a**2/6 - a/3 + 10. Factor n(s).
-(s - 1)**2*(s + 1)/3
Suppose -42*n = -26*n - 48. Suppose -4 = q + 4*x, -n*x - 5 = -3*q - 2. Find k, given that q + 4/3*k**2 - 8/15*k**4 - 2/5*k + 6/5*k**3 = 0.
-1, 0, 1/4, 3
Let n = -286 + 286. Let w(m) be the third derivative of -2*m**2 + 1/168*m**8 - 7/12*m**4 + n*m + 2/3*m**3 - 1/30*m**6 - 2/105*m**7 + 0 + 4/15*m**5. Factor w(v).
2*(v - 1)**4*(v + 2)
Let r(x) be the first derivative of -x**7/2205 + x**6/315 - x**5/126 + x**4/126 - 6*x**2 + 13. Let p(w) be the second derivative of r(w). Factor p(f).
-2*f*(f - 2)*(f - 1)**2/21
Let w(j) be the second derivative of j**4/4 + 3*j**3/2 + 3*j**2 - 2*j - 2. Let w(i) = 0. Calculate i.
-2, -1
Suppose 6*k + 5*k + 4*k = 0. Let q(r) be the third derivative of k*r + 0*r**3 - 5*r**2 - 1/30*r**5 - 1/12*r**4 + 0. Factor q(j).
-2*j*(j + 1)
Let o = -450 + 13501/30. Let d(x) be the third derivative of 5*x**2 + 1/210*x**7 - o*x**5 + 0*x**6 + 0 + 0*x**4 + 1/6*x**3 + 0*x. Factor d(t).
(t - 1)**2*(t + 1)**2
Let m be 0/(6/63 + 122/42). Let i(y) be the second derivative of 0*y**4 + y + 0*y**5 + 0*y**2 + 1/15*y**6 + m*y**3 - 1/21*y**7 + 0. Factor i(n).
-2*n**4*(n - 1)
Suppose 2/3 + 4/9*o**3 - 2/9*o**2 - 8/9*o = 0. Calculate o.
-3/2, 1
Let f(y) be the second derivative of -11*y**7/7560 - y**6/216 + y**5/360 + 8*y**4/3 + 7*y. Let l(a) be the third derivative of f(a). Factor l(j).
-(j + 1)*(11*j - 1)/3
Let z(l) be the first derivative of -3*l**5/5 - 171*l**4/4 - 1083*l**3 - 20577*l**2/2 + 135. Solve z(c) = 0 for c.
-19, 0
Let t be (955/(-135) + 7)*(-6)/4. Let j(y) be the third derivative of -t*y**3 + 0 + 0*y**4 + 1/90*y**5 + y**2 + 0*y. Factor j(v).
2*(v - 1)*(v + 1)/3
Suppose p + 0 + 1/4*p**3 + p**2 = 0. What is p?
-2, 0
Suppose 4 - 1 = 3*u - 3*n, 5*n = 3*u - 9. Let m be 4/8 + u/24*-2. Factor 2/3*a + 0 + m*a**4 + 2*a**2 + 2*a**3.
2*a*(a + 1)**3/3
Let f(a) be the third derivative of -1/70*a**7 + 0 - 9*a**2 - 1/5*a**5 + 0*a - 1/8*a**6 + 0*a**4 + 0*a**3. Determine h, given that f(h) = 0.
-4, -1, 0
Let l = 216812/135 - 1606. Let f(q) be the second derivative of 0*q**2 + l*q**6 + 1/90*q**5 + 0*q**4 + 0*q**3 + 0 - 5*q + 1/189*q**7. Solve f(a) = 0 for a.
-1, 0
Solve -249*m + 252*m - 18 + 24*m**3 + 14*m**2 + 22*m**2 - 9*m**3 = 0.
-2, -1, 3/5
Factor 0 + 0*g - 10/3*g**3 + 11/3*g**2 - 1/3*g**4.
-g**2*(g - 1)*(g + 11)/3
Let s(w) be the second derivative of -w**5/160 - 83*w**4/96 - 1763*w**3/48 - 1681*w**2/16 + 406*w. Solve s(f) = 0 for f.
-41, -1
Let o = -1464 + 1466. What is f in -2/9*f**o + 0*f + 2/9 = 0?
-1, 1
Let -78 - 6*g**2 - 27*g - 3 - 18*g = 0. Calculate g.
-9/2, -3
Let b(r) be the second derivative of -r**4/3 + 32*r**3/3 - 56*r**2 + 2*r - 16. What is t in b(t) = 0?
2, 14
Let m(n) be the third derivative of 1/4*n**4 + 0 - 1/4*n**3 - 3/20*n**5 + 1/20*n**6 + 0*n - 12*n**2 - 1/140*n**7. Suppose m(u) = 0. What is u?
1
Let a(h) be the third derivative of h**6/480 + 11*h**5/120 + 121*h**4/96 - 7*h**2 - 2*h. Suppose a(r) = 0. What is r?
-11, 0
Let k(q) be the first derivative of q**5/90 + q**4/12 + 2*q**3/9 - 7*q**2/2 + 11. Let u(i) be the second derivative of k(i). Determine r so that u(r) = 0.
-2, -1
Let g(m) be the second derivative of m**9/3024 + m**8/672 - m**6/72 - m**5/24 + 2*m**4/3 + 26*m. Let s(u) be the third derivative of g(u). Factor s(c).
5*(c - 1)*(c + 1)**3
Let s(c) = 2*c**4 - 29*c**3 + 67*c**2 - 46*c + 3. Let k(h) = -4*h**4 + 58*h**3 - 136*h**2 + 92*h - 5. Let a(z) = 3*k(z) + 5*s(z). Solve a(m) = 0 for m.
0, 1, 2, 23/2
Suppose 0 = 5*l + 8 + 57. Let n = -11 - l. What is y in 0*y**3 - y**3 + 0*y**2 + 0*y**2 - n*y**2 - y = 0?
-1, 0
Let t(r) be the third derivative of r**8/20160 + r**7/3780 - r**6/2160 - r**5/180 + 13*r**4/6 + 31*r**2. Let h(x) be the second derivative of t(x). Factor h(n).
(n - 1)*(n + 1)*(n + 2)/3
What is x in 28/5*x**2 + 8/5*x + 0 = 0?
-2/7, 0
Let w(g) = 4*g**4 - 14*g**3 + 8*g**2 + 2*g + 12. Let x(t) = 9*t**4 - 30*t**3 + 17*t**2 + 4*t + 26. Let v(d) = 13*w(d) - 6*x(d). Factor v(l).
-2*l*(l - 1)*(l + 1)**2
Let k be (9 + 95/(-10))*-1*6. Let q(w) be the first derivative of 1/4*w**2 + 0*w - 2 - 1/16*w**4 + 1/12*w**k. Factor q(h).
-h*(h - 2)*(h + 1)/4
Let y = 70 - 60. Let n = y + -5. Let 516/7*a**3 + 16/7*a + 50*a**n + 152/7*a**2 + 730/7*a**4 + 0 = 0. Calculate a.
-1, -2/5, -2/7, 0
Let n be (-29)/(-1) - 2 - -3. Let d be 2/4 + n/12. Determine t so that 5*t**d - t**3 + 2*t**2 + 16*t**5 - t**3 - 17*t**5 = 0.
-1, 0, 2
Let o(d) = -2*d + 8. Let j be o(0). Suppose 0 = -3*a - 2*a + 4*c - 16, -j = -4*a - 2*c. Let -2/9*v**3 - 8/9*v**4 + a*v + 2/3*v**5 + 4/9*v**2 + 0 = 0. What is v?
-2/3, 0, 1
Let a(p) be the third derivative of p**6/200 + p**5/5 + 117*p**4/40 + 81*p**3/5 - 3*p**2 + 7. Factor a(c).
3*(c + 2)*(c + 9)**2/5
Suppose 8*s - 50 + 26 = 0. Let d(c) be the second derivative of 0 - 9/2*c**2 - 1/12*c**4 - 5*c + c**s. Suppose d(t) = 0. Calculate t.
3
Let h(v) be the third derivative of -v**7/70 - 11*v**6/40 + 39*v**5/20 - 41*v**4/8 + 7*v**3 + 585*v**2. Find d such that h(d) = 0.
-14, 1
Let n(x) = x**2 - x - 4. Let m be n(3). Suppose -2*r = -m*f + 20, 4*f - r - 20 = 2*f. Determine t so that 0 + 0 - 2*t + 4 + 4*t**2 + f*t = 0.
-1
Suppose -97*j = -1528 + 1334. What is u in -20/9*u**3 - 50/9*u**j + 0*u - 2/9*u**4 + 0 = 0?
-5, 0
Find r such that -4/5 + 0*r + 4/5*r**2 = 0.
-1, 1
Suppose 5*a + u = 776, 3*a + 2*u - 667 = -207. Let l be (-2)/12*13/(a/(-32)). Let 2/9*y**4 - 2/9 + 4/9*y - l*y**3 + 0*y**2 = 0. What is y?
-1, 1
Let m be ((-2)/2)/4*(-2 - -2). Let c(s) be the second derivative of m + 2/3*s**3 + 0*s**2 + 1/3*s**4 - 4*s. Factor c(q).
4*q*(q + 1)
Let h(y) be the first derivative of y**6/24 - 7*y**5/20 - 9*y**4/8 - 187. What is m in h(m) = 0?
-2, 0, 9
Let l(r) be the second derivative of r**6/135 + 8*r**5/45 + 23*r**4/54 - 340*r**3/27 + 100*r**2/3 - 351*r. Suppose l(p) = 0. Calculate p.
-10, 1, 3
Let c(f) be the first derivative of -f**6/12 + 11*f**5/10 + 39*f**4/8 + 41*f**3/6 + 7*f**2/2 + 557. Suppose c(u) = 0. What is u?
-1, 0, 14
Suppose 0 = -4*z + 5*g - 4, -5*z + g - 3*g = -28. Let a be 48/(-6)*(-1 + 2/z). Solve -2/9*r**a + 2/3*r**3 + 0 - 2/3*r**2 + 2/9*r = 0.
0, 1
Let d(v) be the second derivative of 0*v**2 - 7/160*v**5 - v + 7/48*v**3 + 1/96*v**4 - 1/240*v**6 - 3. Factor d(f).
-f*(f - 1)*(f + 1)*(f + 7)/8
Suppose 28*x - 26*x = -4. Let w be (4/10)/(x/(-10)). Factor 0 + 5/2*q**w - q.
q*(5*q - 2)/2
Let j be (-17)/85 + (-2)/8*12/(-15). Suppose -4/5*q**2 + 0*q + j = 0. Calculate q.
0
Let z(v) be the third derivative of 0 - 1/40*v**6 + 0*v**3 + 1/60*v**4 + 19/1050*v**7 + 0*v - 1/240*v**8 + 1/300*v**5 + 17*v**2. Solve z(k) = 0.
-2/7, 0, 1
Suppose -5*w = -4*x - 36, 3*x + 28 = w + 3*w. Suppose l = -l + w. Find s, given that s**2 + l*s - 4*s + s + 2*s = 0.
-1, 0
Let v(h) be the first derivative of 25/4*h**4 + 4*h**5 + 33 + 0*h**2 + 10/3*h**3 + 0*h + 5/6*h**6. Let v(z) = 0. What is z?
-2, -1, 0
Let o be 38/8 + 3/12. Let t = 560 + -559. Let a(n) = -1. Let b(d) = -4*d**2 + 4*d + 13. Let g(r) = o*a(r) + t*b(r). Let g(q) = 0. What is q?
-1, 2
Suppose -204 = -19*c + 13*c. Let y = c - 34. Factor 2/9*s**2 - 2/9*s + y.
2*s*(s - 1)/9
Let b(i) = -2*i**4 + i**2 - i + 1. Let m(r) = 46*r**4 - 6*r**3 - 22*r**2 + 30*r - 22. Let u(f) = 44*b(f) + 2*m(f). Factor u(q).
4*q*(q - 2)**2*(q + 1)
Let n(l) = -13*l**3 + 1130*l**2 - 140635*l + 5859370. Let m(g) = -15*g**3 + 1131*g**2 - 140637*g + 5859369. Let h(w) = 5*m(w) - 6*n(w). Factor h(a).
3*(a - 125)**3
Let i(u) be the second derivative of -u**6/480 - u**5/40 + 5*u**4/32 - 5*u**3/3 + 4*u. Let w(b) be the second derivative of i(b). Suppose w(m) = 0. What is m?
-5, 1
Let o(a) = -19*a - 2*a**2 - 157 + 131 + a**2. Let i(k) = -k**2 - 13*k - 17. Let v(r) = -8*i(r) + 5*o(r). Factor v(z).
3*(z + 1)*(z + 2)
Suppose -51 = -22*j + 59. Suppose -2*a = 5*x - 30, j*a + 2 = -x + 31. Let x*p**5 - 15/4*p**3 + 0*p + 0 + 9/4