 = 0?
1, 2, 3
Factor -48*j**2 + 27*j**5 - 5*j**5 - 19*j**5 + 24*j**3 + 11*j**4 + 10*j**4.
3*j**2*(j - 1)*(j + 4)**2
Factor -22/3*s - 26/3*s**2 - 2 - 10/3*s**3.
-2*(s + 1)**2*(5*s + 3)/3
Let q(y) be the third derivative of -2*y**7/315 + y**6/30 + 11*y**5/45 - y**4/6 - 20*y**3/9 - 4*y**2 - 4. Suppose q(z) = 0. Calculate z.
-2, -1, 1, 5
Let t(v) be the first derivative of 0*v**2 + 1/20*v**5 - 1/8*v**4 + 0*v + 2 - 1/120*v**6 - 4/3*v**3. Let m(q) be the third derivative of t(q). Factor m(r).
-3*(r - 1)**2
Let k be (-35)/(5880/(-63)) + 29/(-88). Let c(b) be the second derivative of -1/11*b**3 + 12*b - 1/110*b**5 - 1/11*b**2 - k*b**4 + 0. Factor c(w).
-2*(w + 1)**3/11
Let p(m) be the first derivative of -5*m**3/3 - 15*m**2 - 17. Determine b so that p(b) = 0.
-6, 0
Factor 2/3 - 2/3*g**2 + 0*g.
-2*(g - 1)*(g + 1)/3
Let x(h) be the third derivative of -h**8/45360 - h**7/5670 + h**6/540 - h**5/5 - 11*h**2. Let j(d) be the third derivative of x(d). Factor j(g).
-4*(g - 1)*(g + 3)/9
Let c(r) = -16*r**2 + 90*r + 38. Let n be c(6). Solve 4/5*b**n + 4/5 + 8/5*b = 0 for b.
-1
Let f(b) = 15*b**4 + 99*b**3 + 56*b**2 - 12*b. Let s(p) = -p**4 - 3*p**3 - p**2 - p. Let h(q) = -5*f(q) - 40*s(q). Suppose h(a) = 0. Calculate a.
-10, -1, 0, 2/7
Let t(g) be the first derivative of 0*g**2 + 32/3*g**3 + 74/5*g**5 + 25 + 3/2*g**6 + 0*g + 40*g**4. What is u in t(u) = 0?
-4, -2/9, 0
Let c = 38 + -35. Suppose 56*l**2 + 20*l**3 + 5*l**4 - 7*l**3 + 60*l + 24*l**2 + 22*l**c = 0. What is l?
-3, -2, 0
Suppose -g - 1 = -3. Determine c, given that -9*c**2 - 4*c**g + 9*c**2 + 16*c - 12 = 0.
1, 3
Let k(g) = g - 32. Let x = -111 + 147. Let y be k(x). Determine c so that -2/3*c**2 + 1/3*c - 2/3*c**3 + 1/3 + 1/3*c**5 + 1/3*c**y = 0.
-1, 1
Let k(b) be the second derivative of -3/40*b**5 + 0 - 1/12*b**3 + 1/60*b**6 + 0*b**2 + 1/8*b**4 - 29*b. Factor k(d).
d*(d - 1)**3/2
Factor -13*z**2 - 365*z + 5*z**4 + 37 - 2*z**2 + 125*z**3 + 181 + 49 - 17.
5*(z - 1)**2*(z + 2)*(z + 25)
Factor -15*u**2 + 7*u**5 - 90*u - 14*u**5 - 15*u**5 + 65*u**3 + 35*u**4 + 27*u**5.
5*u*(u - 1)*(u + 2)*(u + 3)**2
Let p(w) be the first derivative of -w**9/16632 + w**8/4620 - w**7/4620 - 11*w**3/3 + 7. Let o(q) be the third derivative of p(q). Factor o(n).
-2*n**3*(n - 1)**2/11
Suppose -3*b = 0, -5*b - 5 = 3*l + 130. Let v = l + 45. Find a, given that 1/4*a**3 + v + 0*a + 1/4*a**2 = 0.
-1, 0
Let i(p) be the second derivative of p**6/6 - 11*p**5/4 + 25*p**4/6 - 5*p - 45. Determine v so that i(v) = 0.
0, 1, 10
Suppose -5*q - 4 = -5*g - 29, 0 = -4*q + 3*g + 20. What is z in -6*z + q*z - 2 + z**3 - 2*z = 0?
-1, 2
Let u(p) be the second derivative of 7*p**4/12 - 370*p**3/3 - 106*p**2 - 10*p + 9. Factor u(s).
(s - 106)*(7*s + 2)
Let w(v) = v**3 - 11*v**2 - v + 14. Let m be w(11). Let j = -31 - -33. Solve 31*l**2 + 5*l**3 - 5*l**4 - 3 - 5*l + m - 26*l**j = 0.
-1, 0, 1
Let z(s) be the first derivative of s**5/360 + s**4/72 - s**3/12 - 13*s**2 - 27. Let h(x) be the second derivative of z(x). Determine g so that h(g) = 0.
-3, 1
Let k = -5/41 + 158/287. Factor -3*c + k*c**2 + 18/7.
3*(c - 6)*(c - 1)/7
Let n be ((-5)/39)/(9 + (-835)/90). Factor -14/13*p**3 - 2/13*p**5 + 0 + 10/13*p**4 + n*p**2 + 0*p.
-2*p**2*(p - 3)*(p - 1)**2/13
Let n = 6680/9 + -742. Suppose 0*p**2 + 0 + 2/9*p - n*p**3 = 0. Calculate p.
-1, 0, 1
Let o(v) be the third derivative of -1/45*v**5 + 0*v**4 - 1/315*v**7 + 0 - 9*v**2 + 0*v - 1/60*v**6 + 0*v**3. Factor o(b).
-2*b**2*(b + 1)*(b + 2)/3
Let j(y) be the third derivative of 0*y + 0*y**4 + 9/140*y**7 + 0 - 11/80*y**6 - y**2 + 1/20*y**5 + 0*y**3. Factor j(l).
3*l**2*(l - 1)*(9*l - 2)/2
Let q(u) be the first derivative of -u**6/3 - 17*u**5/10 - u**4 - 7*u - 19. Let x(w) be the first derivative of q(w). Determine y, given that x(y) = 0.
-3, -2/5, 0
Let j(i) be the third derivative of 3*i**7/70 - 2*i**6/5 + 6*i**5/5 - 8*i**3 + 7*i**2 + 19*i. Factor j(y).
3*(y - 2)**3*(3*y + 2)
Suppose 2*f - 53 = 37. Let n = 48 - f. Factor 1/2*b + 1/2*b**4 - 3/2*b**2 - 1/2*b**n + 1.
(b - 2)*(b - 1)*(b + 1)**2/2
Let r(f) = -3*f**3 + 2*f**2 - 7*f - 4. Suppose -49 = -13*j + 3. Let u(t) = t**2 + t + 1. Let s(c) = j*u(c) + r(c). Find o such that s(o) = 0.
0, 1
Let r = -26/11 - -163/55. Suppose -6/5*c**2 - 12/5*c**3 + 36/5*c + r*c**4 + 27/5 = 0. Calculate c.
-1, 3
Let 64 - 448*x - 634*x**3 + 19186*x**4 - 39*x**2 - 18*x**5 - 19002*x**4 + 891*x**2 = 0. Calculate x.
2/9, 1, 4
Let b(o) be the third derivative of -o**7/1050 + o**6/100 - 11*o**5/300 + o**4/20 + 81*o**2. Let b(f) = 0. Calculate f.
0, 1, 2, 3
Let y be 41/63 - ((-608)/(-112) - 5). Factor 0 + 0*f - 16/9*f**4 - f**5 - 5/9*f**3 + y*f**2.
-f**2*(f + 1)**2*(9*f - 2)/9
Let s(x) be the third derivative of x**7/525 - 2*x**6/25 + 59*x**5/75 + 26*x**4/5 + 169*x**3/15 - 76*x**2. Factor s(y).
2*(y - 13)**2*(y + 1)**2/5
Let r(x) be the third derivative of 1/48*x**4 - 2*x**2 - 1/80*x**6 + 0*x**3 - 1/240*x**5 - 1/672*x**8 + 0*x + 0 + 1/120*x**7. Find v, given that r(v) = 0.
-1/2, 0, 1, 2
Suppose -3*v - 35 = -5*k, -k + 3 + 32 = 5*v. Let -6*z**2 - 3*z**4 + 3*z + k*z**3 - 4*z**3 - 9*z**3 + 9*z**4 = 0. What is z?
-1, 0, 1/2, 1
Let b(f) be the second derivative of -f**6/840 - f**5/28 - 25*f**4/56 - 11*f**3/3 + 32*f. Let i(a) be the second derivative of b(a). Find h such that i(h) = 0.
-5
Let k(s) be the first derivative of -s**3/9 + 6*s**2 - 9. Let k(r) = 0. Calculate r.
0, 36
Let i(v) = -v**2 - 3*v + 3. Let l be i(-3). Let -14*g**3 - 10*g**3 + 20*g**l + 5*g**2 - 2 + 7*g = 0. What is g?
-1, 1/4, 2
Let q(m) be the second derivative of m**5/80 + m**4 - 49*m**3/24 - 723*m. Factor q(l).
l*(l - 1)*(l + 49)/4
Let m(a) be the third derivative of -a**5/180 - 49*a**4/72 - 8*a**3/3 + 5*a**2 - 15. Factor m(v).
-(v + 1)*(v + 48)/3
Let a = 139 + -137. Factor -2*p + 59*p**2 - 12*p + 4*p**3 - 71*p**2 - a*p**3.
2*p*(p - 7)*(p + 1)
Let h(x) be the second derivative of x**6/150 - x**5/25 + x**4/30 + 2*x**3/15 - 3*x**2/10 - 3*x + 11. Find m such that h(m) = 0.
-1, 1, 3
Let b = 3403/815 - -4/163. Suppose b*m + 3/5*m**3 - 9/5 - 3*m**2 = 0. What is m?
1, 3
Let v(k) be the third derivative of -k**8/40320 + 7*k**5/60 + 8*k**2. Let b(o) be the third derivative of v(o). Solve b(u) = 0.
0
Let m be (-43 - (-4671)/108)*16/14. Suppose m*w**3 + 6/7*w + 0 - 8/7*w**2 = 0. Calculate w.
0, 1, 3
Let s be (-12)/(-2) - 13/(182/84). Factor 0*f + 0 + 2/19*f**3 + s*f**2 + 2/19*f**4 - 4/19*f**5.
-2*f**3*(f - 1)*(2*f + 1)/19
Let w(n) be the second derivative of -2*n**7/49 - 26*n**6/105 + 73*n**5/35 + 39*n**4/7 - 44*n**3/21 - 16*n**2 + 4*n - 45. Solve w(t) = 0 for t.
-7, -1, 2/3, 4
Let d(p) be the first derivative of 4*p**3 - 6*p**2 - 4*p + 12. Let m(b) = b**3 + 12*b**2 - 13*b - 5. Let u(l) = 5*d(l) - 4*m(l). Factor u(x).
-4*x*(x - 2)*(x - 1)
Suppose -218*h**3 - 213*h**3 + 80*h**2 + 256 + 651*h**3 - 216*h**3 + 272*h = 0. Calculate h.
-16, -2
Suppose 4*p - 8 = -3*v, 1 = -121*v + 120*v - 5*p. Factor -7/4*b**3 + 0 + 1/4*b**v - 5/4*b + 11/4*b**2.
b*(b - 5)*(b - 1)**2/4
Suppose 0 = 24*l - 20*l - 8. Find o, given that -o**2 - 36*o + l*o**2 + 36*o = 0.
0
Let q(b) be the first derivative of -2*b**6/5 - 27*b**5/25 + 3*b**4/20 + 6*b**3/5 - 154. Suppose q(g) = 0. What is g?
-2, -1, 0, 3/4
Let l = -337 - -232. Let z be l/(-14)*(-1)/(-3). Suppose -7/2*c + z*c**2 + 1 = 0. What is c?
2/5, 1
Let i(u) be the second derivative of 3*u**5/10 + 19*u**4/12 + 5*u**3/2 + u**2 + u - 24. Factor i(j).
(j + 1)*(j + 2)*(6*j + 1)
Let d be (-8)/3*13*(-66)/1144. Factor 0*g - 1/6*g**3 - 7/6*g**d + 0.
-g**2*(g + 7)/6
Let c = 799/212 - 1/53. Factor -c*l + 0 - 5/4*l**2.
-5*l*(l + 3)/4
Let i(u) be the second derivative of u**9/5040 + 3*u**8/2240 + 5*u**4/4 - 4*u. Let q(r) be the third derivative of i(r). Determine p so that q(p) = 0.
-3, 0
Let j(a) be the first derivative of -a**4/12 - a**3/2 - a**2 + 25*a + 36. Let l(x) be the first derivative of j(x). Factor l(b).
-(b + 1)*(b + 2)
Let c = 2993/8 - 374. Let g(p) be the second derivative of -c*p**2 + 1/120*p**6 - 1/12*p**3 - 5*p + 1/40*p**5 + 0 + 0*p**4. Factor g(n).
(n - 1)*(n + 1)**3/4
Suppose 24/11*k + 2/11*k**2 + 40/11 = 0. Calculate k.
-10, -2
Let h(z) = -2*z**3 - 10*z**2 - z - 1. Let c be h(-5). Factor 1/4*k**c + 0 + 0*k - 1/2*k**3 + 1/4*k**2.
k**2*(k - 1)**2/4
Suppose 1049*p + 2 = 1050*p. Let h = -4 - -8. Find d, given